Fig A1b variational double-bracket flow TLFIM L = 7 J=1.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from simple_exact_diagonalization_routines.local_matrix_class import *\n",
    "from scipy.linalg import expm\n",
    "import matplotlib.pyplot as plt\n",
    "import time\n",
    "\n",
    "\n",
    "# System size\n",
    "L = 7\n",
    "\n",
    "# Create objects of Pauli operators\n",
    "X = X_class(L)\n",
    "Y = Y_class(L)\n",
    "Z = Z_class(L)\n",
    "S_plus = S_plus_class(L)\n",
    "S_minus = S_minus_class(L)\n",
    "\n",
    "# Trivial initialization of the right size matrix\n",
    "hamiltonian_name = \"TLFIM_J_1_L_\" +str(L)\n",
    "H_TLFIM = 0*np.eye( 2**L ) \n",
    "\n",
    "for x in range(L-1):\n",
    "    H_TLFIM = H_TLFIM + X.at(x+1).dot(X.at(x+2)) + Z.at(x+1)+ X.at(x+1)\n",
    "H_TLFIM = H_TLFIM + Z.at(L)    + X.at(L)\n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flow step  0\n",
      "    Found minimum norm =  37.676842195448614  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0833984375   minimal norm  37.676842195448614\n",
      "    Found minimum norm =  37.83648045367143  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.08183593750000001   minimal norm  37.83648045367143\n",
      "    Found minimum norm =  37.77199779411731  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0724609375   minimal norm  37.77199779411731\n",
      "    Found minimum norm =  38.44028197459414  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.08652343750000001   minimal norm  38.44028197459414\n",
      "    Found minimum norm =  37.771997794117304  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0724609375   minimal norm  37.771997794117304\n",
      "    Found minimum norm =  37.887585152799126  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0716796875   minimal norm  37.887585152799126\n",
      "    Found minimum norm =  37.991042178232185  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.08066406250000002   minimal norm  37.991042178232185\n",
      "    Found minimum norm =  39.03013488738863  for s =  0.09238281250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.09238281250000001   minimal norm  39.03013488738863\n",
      "    Found minimum norm =  37.771997794117304  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0724609375   minimal norm  37.771997794117304\n",
      "    Found minimum norm =  37.89752502626432  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0716796875   minimal norm  37.89752502626432\n",
      "    Found minimum norm =  37.6159253077318  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0666015625   minimal norm  37.6159253077318\n",
      "    Found minimum norm =  38.54213300323051  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.07324218750000001   minimal norm  38.54213300323051\n",
      "    Found minimum norm =  37.99104217823219  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.08066406250000002   minimal norm  37.99104217823219\n",
      "    Found minimum norm =  38.12622872561696  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.07949218750000002   minimal norm  38.12622872561696\n",
      "    Found minimum norm =  38.606912505853074  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0849609375   minimal norm  38.606912505853074\n",
      "    Found minimum norm =  39.60371565793421  for s =  0.0990234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0990234375   minimal norm  39.60371565793421\n",
      "    Found minimum norm =  37.771997794117304  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0724609375   minimal norm  37.771997794117304\n",
      "    Found minimum norm =  37.89752502626432  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0716796875   minimal norm  37.89752502626432\n",
      "    Found minimum norm =  37.661838723993974  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0658203125   minimal norm  37.661838723993974\n",
      "    Found minimum norm =  38.552718864676315  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.07324218750000001   minimal norm  38.552718864676315\n",
      "    Found minimum norm =  37.61592530773179  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0666015625   minimal norm  37.61592530773179\n",
      "    Found minimum norm =  37.717162033948426  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0658203125   minimal norm  37.717162033948426\n",
      "    Found minimum norm =  38.01015991378072  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0705078125   minimal norm  38.01015991378072\n",
      "    Found minimum norm =  39.1785262424346  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.07402343750000001   minimal norm  39.1785262424346\n",
      "    Found minimum norm =  37.99104217823219  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.08066406250000002   minimal norm  37.99104217823219\n",
      "    Found minimum norm =  38.140626106112244  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.07910156250000001   minimal norm  38.140626106112244\n",
      "    Found minimum norm =  38.01015991378072  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0705078125   minimal norm  38.01015991378072\n",
      "    Found minimum norm =  38.749991354427245  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0833984375   minimal norm  38.749991354427245\n",
      "    Found minimum norm =  38.60691250585307  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0849609375   minimal norm  38.60691250585307\n",
      "    Found minimum norm =  38.749991354427245  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0833984375   minimal norm  38.749991354427245\n",
      "    Found minimum norm =  39.21093885006843  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.08964843750000001   minimal norm  39.21093885006843\n",
      "    Found minimum norm =  40.16221318457787  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0998046875   minimal norm  40.16221318457787\n",
      "    Found minimum norm =  37.77199779411731  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0724609375   minimal norm  37.77199779411731\n",
      "    Found minimum norm =  37.89752502626432  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0716796875   minimal norm  37.89752502626432\n",
      "    Found minimum norm =  37.661838723993974  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0658203125   minimal norm  37.661838723993974\n",
      "    Found minimum norm =  38.552718864676315  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.07324218750000001   minimal norm  38.552718864676315\n",
      "    Found minimum norm =  37.661838723993974  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0658203125   minimal norm  37.661838723993974\n",
      "    Found minimum norm =  37.76074802731306  for s =  0.06503906250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.06503906250000001   minimal norm  37.76074802731306\n",
      "    Found minimum norm =  38.019477695880845  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0705078125   minimal norm  38.019477695880845\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  39.18935767112595  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.07402343750000001   minimal norm  39.18935767112595\n",
      "    Found minimum norm =  37.615925307731786  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0666015625   minimal norm  37.615925307731786\n",
      "    Found minimum norm =  37.72441815731782  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0658203125   minimal norm  37.72441815731782\n",
      "    Found minimum norm =  37.378217477710535  for s =  0.0623046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0623046875   minimal norm  37.378217477710535\n",
      "    Found minimum norm =  38.38718289909952  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0666015625   minimal norm  38.38718289909952\n",
      "    Found minimum norm =  38.01015991378072  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0705078125   minimal norm  38.01015991378072\n",
      "    Found minimum norm =  38.12031447294627  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0697265625   minimal norm  38.12031447294627\n",
      "    Found minimum norm =  38.66709920931767  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.07207031250000001   minimal norm  38.66709920931767\n",
      "    Found minimum norm =  39.780543235651066  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.07324218750000001   minimal norm  39.780543235651066\n",
      "    Found minimum norm =  37.991042178232185  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.08066406250000002   minimal norm  37.991042178232185\n",
      "    Found minimum norm =  38.14062610611223  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.07910156250000001   minimal norm  38.14062610611223\n",
      "    Found minimum norm =  38.01947769588084  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0705078125   minimal norm  38.01947769588084\n",
      "    Found minimum norm =  38.76675097639218  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.08300781250000001   minimal norm  38.76675097639218\n",
      "    Found minimum norm =  38.01015991378072  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0705078125   minimal norm  38.01015991378072\n",
      "    Found minimum norm =  38.12031447294627  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0697265625   minimal norm  38.12031447294627\n",
      "    Found minimum norm =  38.27187986457932  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.07832031250000002   minimal norm  38.27187986457932\n",
      "    Found minimum norm =  39.36242569497762  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0873046875   minimal norm  39.36242569497762\n",
      "    Found minimum norm =  38.60691250585306  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0849609375   minimal norm  38.60691250585306\n",
      "    Found minimum norm =  38.76675097639218  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.08300781250000001   minimal norm  38.76675097639218\n",
      "    Found minimum norm =  38.66709920931767  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.07207031250000001   minimal norm  38.66709920931767\n",
      "    Found minimum norm =  39.362425694977624  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0873046875   minimal norm  39.362425694977624\n",
      "    Found minimum norm =  39.21093885006842  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.08964843750000001   minimal norm  39.21093885006842\n",
      "    Found minimum norm =  39.362425694977624  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0873046875   minimal norm  39.362425694977624\n",
      "    Found minimum norm =  39.80037721946124  for s =  0.0943359375\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0943359375   minimal norm  39.80037721946124\n",
      "    Found minimum norm =  38.58681801731143  for s =  0.1240234375\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.1240234375   minimal norm  38.58681801731143\n",
      "    Found minimum norm =  37.836480453671435  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.08183593750000001   minimal norm  37.836480453671435\n",
      "    Found minimum norm =  37.991042178232185  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.08066406250000002   minimal norm  37.991042178232185\n",
      "    Found minimum norm =  37.897525026264326  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0716796875   minimal norm  37.897525026264326\n",
      "    Found minimum norm =  38.60691250585306  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0849609375   minimal norm  38.60691250585306\n",
      "    Found minimum norm =  37.89752502626431  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0716796875   minimal norm  37.89752502626431\n",
      "    Found minimum norm =  38.01015991378072  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0705078125   minimal norm  38.01015991378072\n",
      "    Found minimum norm =  38.14062610611225  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.07910156250000001   minimal norm  38.14062610611225\n",
      "    Found minimum norm =  39.21093885006844  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.08964843750000001   minimal norm  39.21093885006844\n",
      "    Found minimum norm =  37.89752502626431  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0716796875   minimal norm  37.89752502626431\n",
      "    Found minimum norm =  38.01947769588085  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0705078125   minimal norm  38.01947769588085\n",
      "    Found minimum norm =  37.72441815731781  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0658203125   minimal norm  37.72441815731781\n",
      "    Found minimum norm =  38.667099209317676  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.07207031250000001   minimal norm  38.667099209317676\n",
      "    Found minimum norm =  38.14062610611224  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.07910156250000001   minimal norm  38.14062610611224\n",
      "    Found minimum norm =  38.27187986457931  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.07832031250000002   minimal norm  38.27187986457931\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  38.76675097639218  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.08300781250000001   minimal norm  38.76675097639218\n",
      "    Found minimum norm =  39.80037721946124  for s =  0.0943359375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0943359375   minimal norm  39.80037721946124\n",
      "    Found minimum norm =  37.887585152799126  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0716796875   minimal norm  37.887585152799126\n",
      "    Found minimum norm =  38.01015991378071  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0705078125   minimal norm  38.01015991378071\n",
      "    Found minimum norm =  37.76074802731306  for s =  0.06503906250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.06503906250000001   minimal norm  37.76074802731306\n",
      "    Found minimum norm =  38.66709920931767  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.07207031250000001   minimal norm  38.66709920931767\n",
      "    Found minimum norm =  37.71716203394842  for s =  0.0658203125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0658203125   minimal norm  37.71716203394842\n",
      "    Found minimum norm =  37.81639673210902  for s =  0.0654296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0654296875   minimal norm  37.81639673210902\n",
      "    Found minimum norm =  38.12031447294627  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0697265625   minimal norm  38.12031447294627\n",
      "    Found minimum norm =  39.293335372991606  for s =  0.07285156250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.07285156250000001   minimal norm  39.293335372991606\n",
      "    Found minimum norm =  38.12622872561697  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.07949218750000002   minimal norm  38.12622872561697\n",
      "    Found minimum norm =  38.27187986457931  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.07832031250000002   minimal norm  38.27187986457931\n",
      "    Found minimum norm =  38.12031447294627  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0697265625   minimal norm  38.12031447294627\n",
      "    Found minimum norm =  38.88893375745818  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.08183593750000001   minimal norm  38.88893375745818\n",
      "    Found minimum norm =  38.74999135442725  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0833984375   minimal norm  38.74999135442725\n",
      "    Found minimum norm =  38.88893375745819  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.08183593750000001   minimal norm  38.88893375745819\n",
      "    Found minimum norm =  39.36242569497762  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0873046875   minimal norm  39.36242569497762\n",
      "    Found minimum norm =  37.7985041082535  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0998046875   minimal norm  37.7985041082535\n",
      "    Found minimum norm =  38.44028197459414  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.08652343750000001   minimal norm  38.44028197459414\n",
      "    Found minimum norm =  38.60691250585307  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0849609375   minimal norm  38.60691250585307\n",
      "    Found minimum norm =  38.55271886467632  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.07324218750000001   minimal norm  38.55271886467632\n",
      "    Found minimum norm =  39.21093885006843  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.08964843750000001   minimal norm  39.21093885006843\n",
      "    Found minimum norm =  38.552718864676315  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.07324218750000001   minimal norm  38.552718864676315\n",
      "    Found minimum norm =  38.66709920931767  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.07207031250000001   minimal norm  38.66709920931767\n",
      "    Found minimum norm =  38.766750976392174  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.08300781250000001   minimal norm  38.766750976392174\n",
      "    Found minimum norm =  39.80037721946124  for s =  0.0943359375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0943359375   minimal norm  39.80037721946124\n",
      "    Found minimum norm =  38.54213300323051  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.07324218750000001   minimal norm  38.54213300323051\n",
      "    Found minimum norm =  38.66709920931767  for s =  0.07207031250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.07207031250000001   minimal norm  38.66709920931767\n",
      "    Found minimum norm =  38.387182899099514  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0666015625   minimal norm  38.387182899099514\n",
      "    Found minimum norm =  39.293335372991606  for s =  0.07285156250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.07285156250000001   minimal norm  39.293335372991606\n",
      "    Found minimum norm =  38.749991354427245  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0833984375   minimal norm  38.749991354427245\n",
      "    Found minimum norm =  38.88893375745819  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.08183593750000001   minimal norm  38.88893375745819\n",
      "    Found minimum norm =  39.36242569497762  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0873046875   minimal norm  39.36242569497762\n",
      "    Found minimum norm =  37.798504108253496  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0998046875   minimal norm  37.798504108253496\n",
      "    Found minimum norm =  39.030134887388634  for s =  0.09238281250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.09238281250000001   minimal norm  39.030134887388634\n",
      "    Found minimum norm =  39.21093885006843  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.08964843750000001   minimal norm  39.21093885006843\n",
      "    Found minimum norm =  39.18935767112594  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.07402343750000001   minimal norm  39.18935767112594\n",
      "    Found minimum norm =  39.80037721946123  for s =  0.0943359375\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0943359375   minimal norm  39.80037721946123\n",
      "    Found minimum norm =  39.1785262424346  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.07402343750000001   minimal norm  39.1785262424346\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  39.293335372991606  for s =  0.07285156250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.07285156250000001   minimal norm  39.293335372991606\n",
      "    Found minimum norm =  39.362425694977624  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0873046875   minimal norm  39.362425694977624\n",
      "    Found minimum norm =  37.7985041082535  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0998046875   minimal norm  37.7985041082535\n",
      "    Found minimum norm =  39.60371565793421  for s =  0.0990234375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0990234375   minimal norm  39.60371565793421\n",
      "    Found minimum norm =  39.80037721946123  for s =  0.0943359375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0943359375   minimal norm  39.80037721946123\n",
      "    Found minimum norm =  39.78054323565107  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.07324218750000001   minimal norm  39.78054323565107\n",
      "    Found minimum norm =  37.7985041082535  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0998046875   minimal norm  37.7985041082535\n",
      "    Found minimum norm =  40.16221318457787  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0998046875   minimal norm  40.16221318457787\n",
      "    Found minimum norm =  37.79850410825351  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0998046875   minimal norm  37.79850410825351\n",
      "    Found minimum norm =  38.58681801731143  for s =  0.1240234375\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.1240234375   minimal norm  38.58681801731143\n",
      "    Found minimum norm =  40.792156108742276  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  40.792156108742276\n",
      "    Found minimum norm =  30.100024767682704  for s =  0.0615234375\n",
      "Found that canonical is better because  30.100024767682704 37.378217477710535\n",
      "    Found minimum norm =  30.100024767682704  for s =  0.0615234375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  1\n",
      "    Found minimum norm =  28.309856303521162  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0873046875   minimal norm  28.309856303521162\n",
      "    Found minimum norm =  28.619677678724578  for s =  0.0841796875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0841796875   minimal norm  28.619677678724578\n",
      "    Found minimum norm =  28.517899952332108  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.08183593750000001   minimal norm  28.517899952332108\n",
      "    Found minimum norm =  29.20558094046746  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.07910156250000001   minimal norm  29.20558094046746\n",
      "    Found minimum norm =  28.670586418812437  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.07910156250000001   minimal norm  28.670586418812437\n",
      "    Found minimum norm =  28.788925735011752  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.08066406250000002   minimal norm  28.788925735011752\n",
      "    Found minimum norm =  29.254635136865595  for s =  0.07363281250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.07363281250000002   minimal norm  29.254635136865595\n",
      "    Found minimum norm =  29.41832832589333  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.07832031250000002   minimal norm  29.41832832589333\n",
      "    Found minimum norm =  28.666390804146236  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.07910156250000001   minimal norm  28.666390804146236\n",
      "    Found minimum norm =  28.92644717082991  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.07480468750000001   minimal norm  28.92644717082991\n",
      "    Found minimum norm =  28.66220367462793  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.07910156250000001   minimal norm  28.66220367462793\n",
      "    Found minimum norm =  29.419932251267486  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.07480468750000001   minimal norm  29.419932251267486\n",
      "    Found minimum norm =  29.386736140612964  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0697265625   minimal norm  29.386736140612964\n",
      "    Found minimum norm =  29.492482319297686  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0705078125   minimal norm  29.492482319297686\n",
      "    Found minimum norm =  29.670516997385615  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0697265625   minimal norm  29.670516997385615\n",
      "    Found minimum norm =  29.243277530487067  for s =  0.07988281250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.07988281250000002   minimal norm  29.243277530487067\n",
      "    Found minimum norm =  28.67058641881244  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.07910156250000001   minimal norm  28.67058641881244\n",
      "    Found minimum norm =  28.948884185934627  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.07480468750000001   minimal norm  28.948884185934627\n",
      "    Found minimum norm =  28.782102214683427  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.07480468750000001   minimal norm  28.782102214683427\n",
      "    Found minimum norm =  29.52745380278487  for s =  0.06894531250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.06894531250000001   minimal norm  29.52745380278487\n",
      "    Found minimum norm =  28.80485225295942  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.07480468750000001   minimal norm  28.80485225295942\n",
      "    Found minimum norm =  28.933483109266312  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.07753906250000002   minimal norm  28.933483109266312\n",
      "    Found minimum norm =  29.359934805726773  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0705078125   minimal norm  29.359934805726773\n",
      "    Found minimum norm =  29.879212967338244  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0498046875   minimal norm  29.879212967338244\n",
      "    Found minimum norm =  29.386736140612964  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0697265625   minimal norm  29.386736140612964\n",
      "    Found minimum norm =  29.676884140678393  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0498046875   minimal norm  29.676884140678393\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  29.37151508722527  for s =  0.0701171875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0701171875   minimal norm  29.37151508722527\n",
      "    Found minimum norm =  29.971567175580493  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0498046875   minimal norm  29.971567175580493\n",
      "    Found minimum norm =  29.834780085427454  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0498046875   minimal norm  29.834780085427454\n",
      "    Found minimum norm =  29.9135618170417  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0498046875   minimal norm  29.9135618170417\n",
      "    Found minimum norm =  30.013819211889732  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0498046875   minimal norm  30.013819211889732\n",
      "    Found minimum norm =  28.74782575198398  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0873046875   minimal norm  28.74782575198398\n",
      "    Found minimum norm =  28.517899952332108  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.08183593750000001   minimal norm  28.517899952332108\n",
      "    Found minimum norm =  28.812428531491225  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.07871093750000001   minimal norm  28.812428531491225\n",
      "    Found minimum norm =  28.66998087306494  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.07753906250000002   minimal norm  28.66998087306494\n",
      "    Found minimum norm =  29.43447885269457  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0724609375   minimal norm  29.43447885269457\n",
      "    Found minimum norm =  28.782102214683416  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.07480468750000001   minimal norm  28.782102214683416\n",
      "    Found minimum norm =  28.908799698177564  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.07480468750000001   minimal norm  28.908799698177564\n",
      "    Found minimum norm =  29.349857335762287  for s =  0.0693359375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0693359375   minimal norm  29.349857335762287\n",
      "    Found minimum norm =  29.865558689734776  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0498046875   minimal norm  29.865558689734776\n",
      "    Found minimum norm =  28.662203674627925  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.07910156250000001   minimal norm  28.662203674627925\n",
      "    Found minimum norm =  28.920511015385834  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.07480468750000001   minimal norm  28.920511015385834\n",
      "    Found minimum norm =  28.657535346090437  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.07871093750000001   minimal norm  28.657535346090437\n",
      "    Found minimum norm =  29.419791537757973  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.07480468750000001   minimal norm  29.419791537757973\n",
      "    Found minimum norm =  29.37151508722527  for s =  0.0701171875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0701171875   minimal norm  29.37151508722527\n",
      "    Found minimum norm =  29.481244333014253  for s =  0.07128906250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.07128906250000001   minimal norm  29.481244333014253\n",
      "    Found minimum norm =  29.673559541608  for s =  0.0701171875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0701171875   minimal norm  29.673559541608\n",
      "    Found minimum norm =  29.937293057977108  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0498046875   minimal norm  29.937293057977108\n",
      "    Found minimum norm =  29.254635136865595  for s =  0.07363281250000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.07363281250000002   minimal norm  29.254635136865595\n",
      "    Found minimum norm =  29.49905366771608  for s =  0.0685546875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0685546875   minimal norm  29.49905366771608\n",
      "    Found minimum norm =  29.34985733576229  for s =  0.0693359375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0693359375   minimal norm  29.34985733576229\n",
      "    Found minimum norm =  29.957694627902757  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0498046875   minimal norm  29.957694627902757\n",
      "    Found minimum norm =  29.359934805726773  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0705078125   minimal norm  29.359934805726773\n",
      "    Found minimum norm =  29.489159143028886  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0705078125   minimal norm  29.489159143028886\n",
      "    Found minimum norm =  29.85058676445933  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0498046875   minimal norm  29.85058676445933\n",
      "    Found minimum norm =  30.097059193127766  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.018554687500000003   minimal norm  30.097059193127766\n",
      "    Found minimum norm =  29.670516997385615  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0697265625   minimal norm  29.670516997385615\n",
      "    Found minimum norm =  29.8962503105593  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0498046875   minimal norm  29.8962503105593\n",
      "    Found minimum norm =  29.673559541608  for s =  0.0701171875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0701171875   minimal norm  29.673559541608\n",
      "    Found minimum norm =  30.100030894849404  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  30.100030894849404\n",
      "    Found minimum norm =  30.01381921188973  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0498046875   minimal norm  30.01381921188973\n",
      "    Found minimum norm =  30.074582808559203  for s =  0.04355468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.04355468750000001   minimal norm  30.074582808559203\n",
      "    Found minimum norm =  30.100025069213387  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  30.100025069213387\n",
      "    Found minimum norm =  28.87610093931158  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0998046875   minimal norm  28.87610093931158\n",
      "    Found minimum norm =  28.619677678724578  for s =  0.0841796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0841796875   minimal norm  28.619677678724578\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  28.88146267449072  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.08027343750000002   minimal norm  28.88146267449072\n",
      "    Found minimum norm =  28.812428531491225  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.07871093750000001   minimal norm  28.812428531491225\n",
      "    Found minimum norm =  29.32638040402549  for s =  0.07363281250000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.07363281250000002   minimal norm  29.32638040402549\n",
      "    Found minimum norm =  28.948884185934627  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.07480468750000001   minimal norm  28.948884185934627\n",
      "    Found minimum norm =  29.087578533592076  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.07480468750000001   minimal norm  29.087578533592076\n",
      "    Found minimum norm =  29.499053667716083  for s =  0.0685546875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0685546875   minimal norm  29.499053667716083\n",
      "    Found minimum norm =  29.24319149743434  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.07324218750000001   minimal norm  29.24319149743434\n",
      "    Found minimum norm =  28.92644717082991  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.07480468750000001   minimal norm  28.92644717082991\n",
      "    Found minimum norm =  29.17502742010767  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.07324218750000001   minimal norm  29.17502742010767\n",
      "    Found minimum norm =  28.92051101538583  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.07480468750000001   minimal norm  28.92051101538583\n",
      "    Found minimum norm =  29.665886345923337  for s =  0.06738281250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.06738281250000001   minimal norm  29.665886345923337\n",
      "    Found minimum norm =  29.676884140678393  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0498046875   minimal norm  29.676884140678393\n",
      "    Found minimum norm =  29.765121012874236  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0498046875   minimal norm  29.765121012874236\n",
      "    Found minimum norm =  29.8962503105593  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0498046875   minimal norm  29.8962503105593\n",
      "    Found minimum norm =  28.84020818745107  for s =  0.0763671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0763671875   minimal norm  28.84020818745107\n",
      "    Found minimum norm =  28.788925735011752  for s =  0.08066406250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.08066406250000002   minimal norm  28.788925735011752\n",
      "    Found minimum norm =  29.087578533592072  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.07480468750000001   minimal norm  29.087578533592072\n",
      "    Found minimum norm =  28.908799698177564  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.07480468750000001   minimal norm  28.908799698177564\n",
      "    Found minimum norm =  29.7473578956417  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0498046875   minimal norm  29.7473578956417\n",
      "    Found minimum norm =  28.93348310926631  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.07753906250000002   minimal norm  28.93348310926631\n",
      "    Found minimum norm =  29.065169205764604  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.07871093750000001   minimal norm  29.065169205764604\n",
      "    Found minimum norm =  29.489159143028882  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0705078125   minimal norm  29.489159143028882\n",
      "    Found minimum norm =  29.863833180645443  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0498046875   minimal norm  29.863833180645443\n",
      "    Found minimum norm =  29.492482319297686  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0705078125   minimal norm  29.492482319297686\n",
      "    Found minimum norm =  29.765121012874232  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0498046875   minimal norm  29.765121012874232\n",
      "    Found minimum norm =  29.481244333014253  for s =  0.07128906250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.07128906250000001   minimal norm  29.481244333014253\n",
      "    Found minimum norm =  30.04291332251643  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.04550781250000001   minimal norm  30.04291332251643\n",
      "    Found minimum norm =  29.9135618170417  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0498046875   minimal norm  29.9135618170417\n",
      "    Found minimum norm =  29.988519838139503  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0498046875   minimal norm  29.988519838139503\n",
      "    Found minimum norm =  30.074582808559203  for s =  0.04355468750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.04355468750000001   minimal norm  30.074582808559203\n",
      "    Found minimum norm =  28.43466038758393  for s =  0.0947265625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0947265625   minimal norm  28.43466038758393\n",
      "    Found minimum norm =  29.20558094046746  for s =  0.07910156250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.07910156250000001   minimal norm  29.20558094046746\n",
      "    Found minimum norm =  29.32638040402549  for s =  0.07363281250000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.07363281250000002   minimal norm  29.32638040402549\n",
      "    Found minimum norm =  29.43447885269457  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0724609375   minimal norm  29.43447885269457\n",
      "    Found minimum norm =  29.39767482754686  for s =  0.0654296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0654296875   minimal norm  29.39767482754686\n",
      "    Found minimum norm =  29.527453802784876  for s =  0.06894531250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.06894531250000001   minimal norm  29.527453802784876\n",
      "    Found minimum norm =  29.747357895641695  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0498046875   minimal norm  29.747357895641695\n",
      "    Found minimum norm =  29.957694627902757  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0498046875   minimal norm  29.957694627902757\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  29.021245962927818  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0677734375   minimal norm  29.021245962927818\n",
      "    Found minimum norm =  29.419932251267486  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.07480468750000001   minimal norm  29.419932251267486\n",
      "    Found minimum norm =  29.665886345923333  for s =  0.06738281250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.06738281250000001   minimal norm  29.665886345923333\n",
      "    Found minimum norm =  29.41979153775797  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.07480468750000001   minimal norm  29.41979153775797\n",
      "    Found minimum norm =  29.93542692667287  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0498046875   minimal norm  29.93542692667287\n",
      "    Found minimum norm =  29.971567175580493  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0498046875   minimal norm  29.971567175580493\n",
      "    Found minimum norm =  30.042913322516426  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.04550781250000001   minimal norm  30.042913322516426\n",
      "    Found minimum norm =  30.1000308948494  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  30.1000308948494\n",
      "    Found minimum norm =  28.33215640957569  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.08652343750000001   minimal norm  28.33215640957569\n",
      "    Found minimum norm =  29.41832832589333  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.07832031250000002   minimal norm  29.41832832589333\n",
      "    Found minimum norm =  29.24319149743434  for s =  0.07324218750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.07324218750000001   minimal norm  29.24319149743434\n",
      "    Found minimum norm =  29.86555868973478  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0498046875   minimal norm  29.86555868973478\n",
      "    Found minimum norm =  29.021245962927818  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0677734375   minimal norm  29.021245962927818\n",
      "    Found minimum norm =  29.879212967338248  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0498046875   minimal norm  29.879212967338248\n",
      "    Found minimum norm =  29.863833180645447  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0498046875   minimal norm  29.863833180645447\n",
      "    Found minimum norm =  30.097059193127762  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.018554687500000003   minimal norm  30.097059193127762\n",
      "    Found minimum norm =  28.331730828245387  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.08652343750000001   minimal norm  28.331730828245387\n",
      "    Found minimum norm =  29.24327753048707  for s =  0.07988281250000002\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.07988281250000002   minimal norm  29.24327753048707\n",
      "    Found minimum norm =  28.84020818745107  for s =  0.0763671875\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0763671875   minimal norm  28.84020818745107\n",
      "    Found minimum norm =  29.937293057977108  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0498046875   minimal norm  29.937293057977108\n",
      "    Found minimum norm =  28.33215640957569  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.08652343750000001   minimal norm  28.33215640957569\n",
      "    Found minimum norm =  28.74782575198398  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0873046875   minimal norm  28.74782575198398\n",
      "    Found minimum norm =  28.43466038758393  for s =  0.0947265625\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0947265625   minimal norm  28.43466038758393\n",
      "    Found minimum norm =  28.876100939311577  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0998046875   minimal norm  28.876100939311577\n",
      "    Found minimum norm =  30.100024767682704  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  30.100024767682704\n",
      "    Found minimum norm =  23.291546223539367  for s =  0.0380859375\n",
      "Found that canonical is better because  23.291546223539367 28.309856303521162\n",
      "    Found minimum norm =  23.291546223539367  for s =  0.0380859375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  2\n",
      "    Found minimum norm =  23.2894376770868  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0033203125000000003   minimal norm  23.2894376770868\n",
      "    Found minimum norm =  23.28288606089787  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0068359375   minimal norm  23.28288606089787\n",
      "    Found minimum norm =  23.29148302324552  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0009765625   minimal norm  23.29148302324552\n",
      "    Found minimum norm =  23.26697663136058  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.009960937500000003   minimal norm  23.26697663136058\n",
      "    Found minimum norm =  23.29155311852936  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  23.29155311852936\n",
      "    Found minimum norm =  23.29138432073033  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0009765625   minimal norm  23.29138432073033\n",
      "    Found minimum norm =  23.291502851575824  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0005859375000000001   minimal norm  23.291502851575824\n",
      "    Found minimum norm =  23.195078772924766  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.019335937500000004   minimal norm  23.195078772924766\n",
      "    Found minimum norm =  23.291543720772513  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  23.291543720772513\n",
      "    Found minimum norm =  23.291541396012367  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  23.291541396012367\n",
      "    Found minimum norm =  23.291550658340352  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  23.291550658340352\n",
      "    Found minimum norm =  23.290691377275557  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0021484375   minimal norm  23.290691377275557\n",
      "    Found minimum norm =  23.291528898593782  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  23.291528898593782\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  23.29124874933604  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0009765625   minimal norm  23.29124874933604\n",
      "    Found minimum norm =  23.291543454928107  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0001953125   minimal norm  23.291543454928107\n",
      "    Found minimum norm =  22.878029892382575  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.040039062500000014   minimal norm  22.878029892382575\n",
      "    Found minimum norm =  23.29155311852936  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  23.29155311852936\n",
      "    Found minimum norm =  23.2915418210727  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  23.2915418210727\n",
      "    Found minimum norm =  23.291547946991344  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  23.291547946991344\n",
      "    Found minimum norm =  23.291382839380834  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0009765625   minimal norm  23.291382839380834\n",
      "    Found minimum norm =  23.291552733713953  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  23.291552733713953\n",
      "    Found minimum norm =  23.291560342468347  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0001953125   minimal norm  23.291560342468347\n",
      "    Found minimum norm =  23.291554799969216  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0001953125   minimal norm  23.291554799969216\n",
      "    Found minimum norm =  23.283551319121678  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0064453125000000005   minimal norm  23.283551319121678\n",
      "    Found minimum norm =  23.291528898593786  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  23.291528898593786\n",
      "    Found minimum norm =  23.291422642696027  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0009765625   minimal norm  23.291422642696027\n",
      "    Found minimum norm =  23.291551395374867  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  23.291551395374867\n",
      "    Found minimum norm =  23.289587145103123  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0025390625000000005   minimal norm  23.289587145103123\n",
      "    Found minimum norm =  23.291549933544943  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  23.291549933544943\n",
      "    Found minimum norm =  23.291531296581457  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  23.291531296581457\n",
      "    Found minimum norm =  23.29155118406924  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  23.29155118406924\n",
      "    Found minimum norm =  22.589658064884294  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.05722656250000001   minimal norm  22.589658064884294\n",
      "    Found minimum norm =  23.291483023245522  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0009765625   minimal norm  23.291483023245522\n",
      "    Found minimum norm =  23.291236521585876  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0017578125   minimal norm  23.291236521585876\n",
      "    Found minimum norm =  23.291544394858203  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  23.291544394858203\n",
      "    Found minimum norm =  23.2903699168415  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0025390625000000005   minimal norm  23.2903699168415\n",
      "    Found minimum norm =  23.291547946991347  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  23.291547946991347\n",
      "    Found minimum norm =  23.29154721448528  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  23.29154721448528\n",
      "    Found minimum norm =  23.291550359680112  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0001953125   minimal norm  23.291550359680112\n",
      "    Found minimum norm =  23.282003939770558  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0076171875   minimal norm  23.282003939770558\n",
      "    Found minimum norm =  23.291550658340352  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  23.291550658340352\n",
      "    Found minimum norm =  23.29155894708158  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0001953125   minimal norm  23.29155894708158\n",
      "    Found minimum norm =  23.291547928868685  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0001953125   minimal norm  23.291547928868685\n",
      "    Found minimum norm =  23.291544795997876  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  23.291544795997876\n",
      "    Found minimum norm =  23.291551395374867  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  23.291551395374867\n",
      "    Found minimum norm =  23.291548619230277  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  23.291548619230277\n",
      "    Found minimum norm =  23.291552275094247  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  23.291552275094247\n",
      "    Found minimum norm =  23.227405993364865  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0181640625   minimal norm  23.227405993364865\n",
      "    Found minimum norm =  23.291502851575824  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0005859375000000001   minimal norm  23.291502851575824\n",
      "    Found minimum norm =  23.29120036571921  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0013671875000000001   minimal norm  23.29120036571921\n",
      "    Found minimum norm =  23.291550359680112  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0001953125   minimal norm  23.291550359680112\n",
      "    Found minimum norm =  23.289402140304002  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0029296875   minimal norm  23.289402140304002\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  23.291554799969216  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0001953125   minimal norm  23.291554799969216\n",
      "    Found minimum norm =  23.291550564236086  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  23.291550564236086\n",
      "    Found minimum norm =  23.291558248429673  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  23.291558248429673\n",
      "    Found minimum norm =  23.254357911926217  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0107421875   minimal norm  23.254357911926217\n",
      "    Found minimum norm =  23.2915434549281  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0001953125   minimal norm  23.2915434549281\n",
      "    Found minimum norm =  23.29152807469913  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  23.29152807469913\n",
      "    Found minimum norm =  23.291552275094247  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  23.291552275094247\n",
      "    Found minimum norm =  23.291213830706138  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0009765625   minimal norm  23.291213830706138\n",
      "    Found minimum norm =  23.29155118406924  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  23.29155118406924\n",
      "    Found minimum norm =  23.29154768609545  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  23.29154768609545\n",
      "    Found minimum norm =  23.291552542735403  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  23.291552542735403\n",
      "    Found minimum norm =  22.324391140875047  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.08222656250000002   minimal norm  22.324391140875047\n",
      "    Found minimum norm =  23.28288606089787  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0068359375   minimal norm  23.28288606089787\n",
      "    Found minimum norm =  23.259167491557964  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0138671875   minimal norm  23.259167491557964\n",
      "    Found minimum norm =  23.291236521585876  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0017578125   minimal norm  23.291236521585876\n",
      "    Found minimum norm =  23.200867534489706  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.018945312500000002   minimal norm  23.200867534489706\n",
      "    Found minimum norm =  23.291541821072695  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  23.291541821072695\n",
      "    Found minimum norm =  23.290345404907534  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0033203125000000003   minimal norm  23.290345404907534\n",
      "    Found minimum norm =  23.291200365719213  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0013671875000000001   minimal norm  23.291200365719213\n",
      "    Found minimum norm =  22.898304055829524  for s =  0.03769531250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.03769531250000001   minimal norm  22.898304055829524\n",
      "    Found minimum norm =  23.291541396012367  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  23.291541396012367\n",
      "    Found minimum norm =  23.291091401139397  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0029296875   minimal norm  23.291091401139397\n",
      "    Found minimum norm =  23.29155894708158  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  23.29155894708158\n",
      "    Found minimum norm =  23.28379601265033  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0064453125000000005   minimal norm  23.28379601265033\n",
      "    Found minimum norm =  23.291422642696027  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0009765625   minimal norm  23.291422642696027\n",
      "    Found minimum norm =  23.2892469985221  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0029296875   minimal norm  23.2892469985221\n",
      "    Found minimum norm =  23.291528074699126  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  23.291528074699126\n",
      "    Found minimum norm =  22.618032657124463  for s =  0.0537109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0537109375   minimal norm  22.618032657124463\n",
      "    Found minimum norm =  23.29138432073033  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0009765625   minimal norm  23.29138432073033\n",
      "    Found minimum norm =  23.290345404907534  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0033203125000000003   minimal norm  23.290345404907534\n",
      "    Found minimum norm =  23.29154721448528  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  23.29154721448528\n",
      "    Found minimum norm =  23.28447997637623  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0060546875   minimal norm  23.28447997637623\n",
      "    Found minimum norm =  23.291560342468347  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0001953125   minimal norm  23.291560342468347\n",
      "    Found minimum norm =  23.29155052084527  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  23.29155052084527\n",
      "    Found minimum norm =  23.291550564236086  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  23.291550564236086\n",
      "    Found minimum norm =  23.23275038574852  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0158203125   minimal norm  23.23275038574852\n",
      "    Found minimum norm =  23.29124874933604  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0009765625   minimal norm  23.29124874933604\n",
      "    Found minimum norm =  23.2892469985221  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0029296875   minimal norm  23.2892469985221\n",
      "    Found minimum norm =  23.29154861923028  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  23.29154861923028\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  23.262487863419786  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0087890625   minimal norm  23.262487863419786\n",
      "    Found minimum norm =  23.291531296581454  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  23.291531296581454\n",
      "    Found minimum norm =  23.291269595006895  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0009765625   minimal norm  23.291269595006895\n",
      "    Found minimum norm =  23.29154768609545  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  23.29154768609545\n",
      "    Found minimum norm =  22.048361023944775  for s =  0.0693359375\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0693359375   minimal norm  22.048361023944775\n",
      "    Found minimum norm =  23.26697663136058  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.009960937500000003   minimal norm  23.26697663136058\n",
      "    Found minimum norm =  23.200867534489706  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.018945312500000002   minimal norm  23.200867534489706\n",
      "    Found minimum norm =  23.2903699168415  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0025390625000000005   minimal norm  23.2903699168415\n",
      "    Found minimum norm =  22.963981246305757  for s =  0.0310546875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0310546875   minimal norm  22.963981246305757\n",
      "    Found minimum norm =  23.291382839380834  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0009765625   minimal norm  23.291382839380834\n",
      "    Found minimum norm =  23.28447997637623  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0060546875   minimal norm  23.28447997637623\n",
      "    Found minimum norm =  23.289402140304006  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0029296875   minimal norm  23.289402140304006\n",
      "    Found minimum norm =  22.678367613150463  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0431640625   minimal norm  22.678367613150463\n",
      "    Found minimum norm =  23.290691377275554  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0021484375   minimal norm  23.290691377275554\n",
      "    Found minimum norm =  23.28379601265033  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0064453125000000005   minimal norm  23.28379601265033\n",
      "    Found minimum norm =  23.291544795997876  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  23.291544795997876\n",
      "    Found minimum norm =  23.245351840917838  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.012304687500000001   minimal norm  23.245351840917838\n",
      "    Found minimum norm =  23.289587145103123  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0025390625000000005   minimal norm  23.289587145103123\n",
      "    Found minimum norm =  23.262487863419786  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0087890625   minimal norm  23.262487863419786\n",
      "    Found minimum norm =  23.291213830706138  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0009765625   minimal norm  23.291213830706138\n",
      "    Found minimum norm =  21.696742281341866  for s =  0.06503906250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.06503906250000001   minimal norm  21.696742281341866\n",
      "    Found minimum norm =  23.195078772924766  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.019335937500000004   minimal norm  23.195078772924766\n",
      "    Found minimum norm =  22.898304055829527  for s =  0.03769531250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.03769531250000001   minimal norm  22.898304055829527\n",
      "    Found minimum norm =  23.282003939770554  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0076171875   minimal norm  23.282003939770554\n",
      "    Found minimum norm =  22.67836761315046  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0431640625   minimal norm  22.67836761315046\n",
      "    Found minimum norm =  23.283551319121674  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0064453125000000005   minimal norm  23.283551319121674\n",
      "    Found minimum norm =  23.23275038574852  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0158203125   minimal norm  23.23275038574852\n",
      "    Found minimum norm =  23.25435791192622  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0107421875   minimal norm  23.25435791192622\n",
      "    Found minimum norm =  21.664356319857063  for s =  0.0642578125\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0642578125   minimal norm  21.664356319857063\n",
      "    Found minimum norm =  22.878029892382575  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.040039062500000014   minimal norm  22.878029892382575\n",
      "    Found minimum norm =  22.618032657124463  for s =  0.0537109375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0537109375   minimal norm  22.618032657124463\n",
      "    Found minimum norm =  23.227405993364865  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0181640625   minimal norm  23.227405993364865\n",
      "    Found minimum norm =  21.696742281341866  for s =  0.06503906250000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.06503906250000001   minimal norm  21.696742281341866\n",
      "    Found minimum norm =  22.589658064884294  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.05722656250000001   minimal norm  22.589658064884294\n",
      "    Found minimum norm =  22.048361023944775  for s =  0.0693359375\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0693359375   minimal norm  22.048361023944775\n",
      "    Found minimum norm =  22.324391140875047  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.08222656250000002   minimal norm  22.324391140875047\n",
      "    Found minimum norm =  23.291546223539367  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  23.291546223539367\n",
      "    Found minimum norm =  18.955137933945238  for s =  0.0181640625\n",
      "Found that canonical is better because  18.955137933945238 21.664356319857063\n",
      "    Found minimum norm =  18.955137933945238  for s =  0.0181640625\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  3\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  18.95270267778868  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0029296875   minimal norm  18.95270267778868\n",
      "    Found minimum norm =  18.945266648700027  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0064453125000000005   minimal norm  18.945266648700027\n",
      "    Found minimum norm =  18.955096942303296  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0005859375000000001   minimal norm  18.955096942303296\n",
      "    Found minimum norm =  18.921334152808925  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0119140625   minimal norm  18.921334152808925\n",
      "    Found minimum norm =  18.955171317521753  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  18.955171317521753\n",
      "    Found minimum norm =  18.954923809341487  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0013671875000000001   minimal norm  18.954923809341487\n",
      "    Found minimum norm =  18.954765363835207  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0013671875000000001   minimal norm  18.954765363835207\n",
      "    Found minimum norm =  18.848506614040822  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.021679687500000003   minimal norm  18.848506614040822\n",
      "    Found minimum norm =  18.955161770518373  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  18.955161770518373\n",
      "    Found minimum norm =  18.955216645007244  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  18.955216645007244\n",
      "    Found minimum norm =  18.954958394806393  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0013671875000000001   minimal norm  18.954958394806393\n",
      "    Found minimum norm =  18.954863708000243  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0013671875000000001   minimal norm  18.954863708000243\n",
      "    Found minimum norm =  18.954538342822897  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0017578125   minimal norm  18.954538342822897\n",
      "    Found minimum norm =  18.952149541686307  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0037109375   minimal norm  18.952149541686307\n",
      "    Found minimum norm =  18.955003202295863  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0009765625   minimal norm  18.955003202295863\n",
      "    Found minimum norm =  18.730252142699868  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.03574218750000001   minimal norm  18.730252142699868\n",
      "    Found minimum norm =  18.955171317521753  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  18.955171317521753\n",
      "    Found minimum norm =  18.95521577581908  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  18.95521577581908\n",
      "    Found minimum norm =  18.955056501910914  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0017578125   minimal norm  18.955056501910914\n",
      "    Found minimum norm =  18.955472863770318  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  18.955472863770318\n",
      "    Found minimum norm =  18.95477145058547  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0021484375   minimal norm  18.95477145058547\n",
      "    Found minimum norm =  18.95423027627816  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0033203125000000003   minimal norm  18.95423027627816\n",
      "    Found minimum norm =  18.954942218217436  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0009765625   minimal norm  18.954942218217436\n",
      "    Found minimum norm =  18.955161718254413  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  18.955161718254413\n",
      "    Found minimum norm =  18.954538342822897  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0017578125   minimal norm  18.954538342822897\n",
      "    Found minimum norm =  18.95151141177365  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.004882812500000001   minimal norm  18.95151141177365\n",
      "    Found minimum norm =  18.954896748957882  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0013671875000000001   minimal norm  18.954896748957882\n",
      "    Found minimum norm =  18.940640336447878  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0080078125   minimal norm  18.940640336447878\n",
      "    Found minimum norm =  18.95497253909549  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0009765625   minimal norm  18.95497253909549\n",
      "    Found minimum norm =  18.95429451276985  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0021484375   minimal norm  18.95429451276985\n",
      "    Found minimum norm =  18.95512357425996  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  18.95512357425996\n",
      "    Found minimum norm =  18.31516069008231  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0677734375   minimal norm  18.31516069008231\n",
      "    Found minimum norm =  18.955096942303296  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0005859375000000001   minimal norm  18.955096942303296\n",
      "    Found minimum norm =  18.954978207899757  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0009765625   minimal norm  18.954978207899757\n",
      "    Found minimum norm =  18.955026240192762  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0013671875000000001   minimal norm  18.955026240192762\n",
      "    Found minimum norm =  18.95505978920083  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0009765625   minimal norm  18.95505978920083\n",
      "    Found minimum norm =  18.955056501910914  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0017578125   minimal norm  18.955056501910914\n",
      "    Found minimum norm =  18.95499903220617  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0017578125   minimal norm  18.95499903220617\n",
      "    Found minimum norm =  18.955122162288735  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0005859375000000001   minimal norm  18.955122162288735\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  18.95530387154298  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  18.95530387154298\n",
      "    Found minimum norm =  18.954958394806393  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0013671875000000001   minimal norm  18.954958394806393\n",
      "    Found minimum norm =  18.953951451746903  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0044921875000000005   minimal norm  18.953951451746903\n",
      "    Found minimum norm =  18.95512169114223  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0005859375000000001   minimal norm  18.95512169114223\n",
      "    Found minimum norm =  18.951602750386545  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0052734375   minimal norm  18.951602750386545\n",
      "    Found minimum norm =  18.954896748957882  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0013671875000000001   minimal norm  18.954896748957882\n",
      "    Found minimum norm =  18.95400044121292  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0025390625000000005   minimal norm  18.95400044121292\n",
      "    Found minimum norm =  18.955051616209253  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0005859375000000001   minimal norm  18.955051616209253\n",
      "    Found minimum norm =  18.911688550022742  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.016992187500000002   minimal norm  18.911688550022742\n",
      "    Found minimum norm =  18.954765363835207  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0013671875000000001   minimal norm  18.954765363835207\n",
      "    Found minimum norm =  18.952687013182732  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0037109375   minimal norm  18.952687013182732\n",
      "    Found minimum norm =  18.955122162288735  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0005859375000000001   minimal norm  18.955122162288735\n",
      "    Found minimum norm =  18.941899211283662  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0087890625   minimal norm  18.941899211283662\n",
      "    Found minimum norm =  18.954942218217436  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0009765625   minimal norm  18.954942218217436\n",
      "    Found minimum norm =  18.95394460226895  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0029296875   minimal norm  18.95394460226895\n",
      "    Found minimum norm =  18.955061364451975  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0005859375000000001   minimal norm  18.955061364451975\n",
      "    Found minimum norm =  18.872552834606235  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.018554687500000003   minimal norm  18.872552834606235\n",
      "    Found minimum norm =  18.955003202295863  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0009765625   minimal norm  18.955003202295863\n",
      "    Found minimum norm =  18.954204181555603  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0025390625000000005   minimal norm  18.954204181555603\n",
      "    Found minimum norm =  18.955051616209253  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0005859375000000001   minimal norm  18.955051616209253\n",
      "    Found minimum norm =  18.951254589690652  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0041015625   minimal norm  18.951254589690652\n",
      "    Found minimum norm =  18.95512357425996  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  18.95512357425996\n",
      "    Found minimum norm =  18.955081052002242  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0005859375000000001   minimal norm  18.955081052002242\n",
      "    Found minimum norm =  18.95514302246389  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  18.95514302246389\n",
      "    Found minimum norm =  18.235957642752474  for s =  0.09082031250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.09082031250000001   minimal norm  18.235957642752474\n",
      "    Found minimum norm =  18.945266648700027  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0064453125000000005   minimal norm  18.945266648700027\n",
      "    Found minimum norm =  18.918691435305245  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.013085937500000002   minimal norm  18.918691435305245\n",
      "    Found minimum norm =  18.95497820789976  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0009765625   minimal norm  18.95497820789976\n",
      "    Found minimum norm =  18.839244510382063  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0232421875   minimal norm  18.839244510382063\n",
      "    Found minimum norm =  18.95521577581908  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  18.95521577581908\n",
      "    Found minimum norm =  18.954641620418176  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0021484375   minimal norm  18.954641620418176\n",
      "    Found minimum norm =  18.952687013182732  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0037109375   minimal norm  18.952687013182732\n",
      "    Found minimum norm =  18.71689041835728  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0349609375   minimal norm  18.71689041835728\n",
      "    Found minimum norm =  18.955216645007244  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  18.955216645007244\n",
      "    Found minimum norm =  18.955405656767763  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  18.955405656767763\n",
      "    Found minimum norm =  18.953951451746903  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0044921875000000005   minimal norm  18.953951451746903\n",
      "    Found minimum norm =  18.95498400484708  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0009765625   minimal norm  18.95498400484708\n",
      "    Found minimum norm =  18.95151141177365  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.004882812500000001   minimal norm  18.95151141177365\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  18.936794795626398  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.010351562500000001   minimal norm  18.936794795626398\n",
      "    Found minimum norm =  18.954204181555607  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0025390625000000005   minimal norm  18.954204181555607\n",
      "    Found minimum norm =  18.414327760469728  for s =  0.061132812499999994\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.061132812499999994   minimal norm  18.414327760469728\n",
      "    Found minimum norm =  18.954923809341484  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0013671875000000001   minimal norm  18.954923809341484\n",
      "    Found minimum norm =  18.954641620418176  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0021484375   minimal norm  18.954641620418176\n",
      "    Found minimum norm =  18.95499903220617  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0017578125   minimal norm  18.95499903220617\n",
      "    Found minimum norm =  18.95515648499566  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  18.95515648499566\n",
      "    Found minimum norm =  18.95423027627816  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0033203125000000003   minimal norm  18.95423027627816\n",
      "    Found minimum norm =  18.949704949302703  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0076171875   minimal norm  18.949704949302703\n",
      "    Found minimum norm =  18.953944602268955  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0029296875   minimal norm  18.953944602268955\n",
      "    Found minimum norm =  18.901225119523165  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.017773437500000003   minimal norm  18.901225119523165\n",
      "    Found minimum norm =  18.952149541686307  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0037109375   minimal norm  18.952149541686307\n",
      "    Found minimum norm =  18.9367947956264  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.010351562500000001   minimal norm  18.9367947956264\n",
      "    Found minimum norm =  18.954000441212916  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0025390625000000005   minimal norm  18.954000441212916\n",
      "    Found minimum norm =  18.85779326911968  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.019726562500000003   minimal norm  18.85779326911968\n",
      "    Found minimum norm =  18.954294512769852  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0021484375   minimal norm  18.954294512769852\n",
      "    Found minimum norm =  18.950380819015272  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.004882812500000001   minimal norm  18.950380819015272\n",
      "    Found minimum norm =  18.955081052002246  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0005859375000000001   minimal norm  18.955081052002246\n",
      "    Found minimum norm =  18.246290620480295  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0677734375   minimal norm  18.246290620480295\n",
      "    Found minimum norm =  18.921334152808925  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0119140625   minimal norm  18.921334152808925\n",
      "    Found minimum norm =  18.839244510382066  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0232421875   minimal norm  18.839244510382066\n",
      "    Found minimum norm =  18.955059789200828  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0009765625   minimal norm  18.955059789200828\n",
      "    Found minimum norm =  18.703524820275916  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0349609375   minimal norm  18.703524820275916\n",
      "    Found minimum norm =  18.955472863770318  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  18.955472863770318\n",
      "    Found minimum norm =  18.95515648499566  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  18.95515648499566\n",
      "    Found minimum norm =  18.94189921128366  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0087890625   minimal norm  18.94189921128366\n",
      "    Found minimum norm =  18.408385975028207  for s =  0.0544921875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0544921875   minimal norm  18.408385975028207\n",
      "    Found minimum norm =  18.954863708000243  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0013671875000000001   minimal norm  18.954863708000243\n",
      "    Found minimum norm =  18.954984004847077  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0009765625   minimal norm  18.954984004847077\n",
      "    Found minimum norm =  18.951602750386545  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0052734375   minimal norm  18.951602750386545\n",
      "    Found minimum norm =  18.892995164951905  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.017773437500000003   minimal norm  18.892995164951905\n",
      "    Found minimum norm =  18.940640336447874  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0080078125   minimal norm  18.940640336447874\n",
      "    Found minimum norm =  18.85779326911968  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.019726562500000003   minimal norm  18.85779326911968\n",
      "    Found minimum norm =  18.951254589690652  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0041015625   minimal norm  18.951254589690652\n",
      "    Found minimum norm =  18.097317669392364  for s =  0.0623046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0623046875   minimal norm  18.097317669392364\n",
      "    Found minimum norm =  18.848506614040822  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.021679687500000003   minimal norm  18.848506614040822\n",
      "    Found minimum norm =  18.71689041835728  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0349609375   minimal norm  18.71689041835728\n",
      "    Found minimum norm =  18.95530387154298  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  18.95530387154298\n",
      "    Found minimum norm =  18.40838597502821  for s =  0.0544921875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0544921875   minimal norm  18.40838597502821\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  18.955161718254413  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  18.955161718254413\n",
      "    Found minimum norm =  18.90122511952316  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.017773437500000003   minimal norm  18.90122511952316\n",
      "    Found minimum norm =  18.872552834606235  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.018554687500000003   minimal norm  18.872552834606235\n",
      "    Found minimum norm =  18.03876662076129  for s =  0.05996093749999999\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.05996093749999999   minimal norm  18.03876662076129\n",
      "    Found minimum norm =  18.730252142699868  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.03574218750000001   minimal norm  18.730252142699868\n",
      "    Found minimum norm =  18.41432776046973  for s =  0.061132812499999994\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.061132812499999994   minimal norm  18.41432776046973\n",
      "    Found minimum norm =  18.911688550022742  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.016992187500000002   minimal norm  18.911688550022742\n",
      "    Found minimum norm =  18.097317669392364  for s =  0.0623046875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0623046875   minimal norm  18.097317669392364\n",
      "    Found minimum norm =  18.31516069008231  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0677734375   minimal norm  18.31516069008231\n",
      "    Found minimum norm =  18.246290620480295  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0677734375   minimal norm  18.246290620480295\n",
      "    Found minimum norm =  18.235957642752474  for s =  0.09082031250000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.09082031250000001   minimal norm  18.235957642752474\n",
      "    Found minimum norm =  18.955137933945238  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  18.955137933945238\n",
      "    Found minimum norm =  16.689748146314763  for s =  0.015039062499999999\n",
      "Found that canonical is better because  16.689748146314763 18.03876662076129\n",
      "    Found minimum norm =  16.689748146314763  for s =  0.015039062499999999\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  4\n",
      "    Found minimum norm =  16.67953719476204  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0060546875   minimal norm  16.67953719476204\n",
      "    Found minimum norm =  16.655236054739675  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0119140625   minimal norm  16.655236054739675\n",
      "    Found minimum norm =  16.687561958792788  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0033203125000000003   minimal norm  16.687561958792788\n",
      "    Found minimum norm =  16.61011979193071  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.018554687500000003   minimal norm  16.61011979193071\n",
      "    Found minimum norm =  16.687434107945197  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0037109375   minimal norm  16.687434107945197\n",
      "    Found minimum norm =  16.677428330381602  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.009179687500000002   minimal norm  16.677428330381602\n",
      "    Found minimum norm =  16.68607183917405  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0041015625   minimal norm  16.68607183917405\n",
      "    Found minimum norm =  16.59140990122592  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0212890625   minimal norm  16.59140990122592\n",
      "    Found minimum norm =  16.688329751275326  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0033203125000000003   minimal norm  16.688329751275326\n",
      "    Found minimum norm =  16.687071938339496  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0052734375   minimal norm  16.687071938339496\n",
      "    Found minimum norm =  16.68445551397869  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0068359375   minimal norm  16.68445551397869\n",
      "    Found minimum norm =  16.68388109798562  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0064453125000000005   minimal norm  16.68388109798562\n",
      "    Found minimum norm =  16.684385031011995  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0052734375   minimal norm  16.684385031011995\n",
      "    Found minimum norm =  16.67527606961554  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.009179687500000002   minimal norm  16.67527606961554\n",
      "    Found minimum norm =  16.68704726963002  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0041015625   minimal norm  16.68704726963002\n",
      "    Found minimum norm =  16.58950399665447  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.024804687500000002   minimal norm  16.58950399665447\n",
      "    Found minimum norm =  16.687434107945197  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0037109375   minimal norm  16.687434107945197\n",
      "    Found minimum norm =  16.68601998001921  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0052734375   minimal norm  16.68601998001921\n",
      "    Found minimum norm =  16.687535255465015  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0060546875   minimal norm  16.687535255465015\n",
      "    Found minimum norm =  16.689908365176244  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  16.689908365176244\n",
      "    Found minimum norm =  16.683742284870522  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0076171875   minimal norm  16.683742284870522\n",
      "    Found minimum norm =  16.67132191165748  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0146484375   minimal norm  16.67132191165748\n",
      "    Found minimum norm =  16.683681123030055  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0060546875   minimal norm  16.683681123030055\n",
      "    Found minimum norm =  16.688168651353987  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0029296875   minimal norm  16.688168651353987\n",
      "    Found minimum norm =  16.684385031011995  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0052734375   minimal norm  16.684385031011995\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  16.66625228947805  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.012304687500000001   minimal norm  16.66625228947805\n",
      "    Found minimum norm =  16.683932521913093  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.005664062500000001   minimal norm  16.683932521913093\n",
      "    Found minimum norm =  16.63996634238673  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0146484375   minimal norm  16.63996634238673\n",
      "    Found minimum norm =  16.684783552936548  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.004882812500000001   minimal norm  16.684783552936548\n",
      "    Found minimum norm =  16.674305371367403  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.009179687500000002   minimal norm  16.674305371367403\n",
      "    Found minimum norm =  16.68808715080327  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0033203125000000003   minimal norm  16.68808715080327\n",
      "    Found minimum norm =  16.234930235048225  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.05722656250000001   minimal norm  16.234930235048225\n",
      "    Found minimum norm =  16.687561958792788  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0033203125000000003   minimal norm  16.687561958792788\n",
      "    Found minimum norm =  16.67993686078964  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0076171875   minimal norm  16.67993686078964\n",
      "    Found minimum norm =  16.682107673912206  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0080078125   minimal norm  16.682107673912206\n",
      "    Found minimum norm =  16.680218873603454  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0080078125   minimal norm  16.680218873603454\n",
      "    Found minimum norm =  16.68753525546501  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0060546875   minimal norm  16.68753525546501\n",
      "    Found minimum norm =  16.686227129684834  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0087890625   minimal norm  16.686227129684834\n",
      "    Found minimum norm =  16.689644625919716  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0009765625   minimal norm  16.689644625919716\n",
      "    Found minimum norm =  16.690088527965163  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  16.690088527965163\n",
      "    Found minimum norm =  16.68445551397869  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0068359375   minimal norm  16.68445551397869\n",
      "    Found minimum norm =  16.66830067053764  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0162109375   minimal norm  16.66830067053764\n",
      "    Found minimum norm =  16.689218779270963  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0025390625000000005   minimal norm  16.689218779270963\n",
      "    Found minimum norm =  16.65354454533653  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0166015625   minimal norm  16.65354454533653\n",
      "    Found minimum norm =  16.683932521913093  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.005664062500000001   minimal norm  16.683932521913093\n",
      "    Found minimum norm =  16.665186286928215  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0119140625   minimal norm  16.665186286928215\n",
      "    Found minimum norm =  16.684120398706053  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.005664062500000001   minimal norm  16.684120398706053\n",
      "    Found minimum norm =  16.6324369011089  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0181640625   minimal norm  16.6324369011089\n",
      "    Found minimum norm =  16.68607183917405  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0041015625   minimal norm  16.68607183917405\n",
      "    Found minimum norm =  16.678255307247554  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.008398437500000001   minimal norm  16.678255307247554\n",
      "    Found minimum norm =  16.689644625919716  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0009765625   minimal norm  16.689644625919716\n",
      "    Found minimum norm =  16.655161713748154  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0166015625   minimal norm  16.655161713748154\n",
      "    Found minimum norm =  16.683681123030055  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0060546875   minimal norm  16.683681123030055\n",
      "    Found minimum norm =  16.661075063832975  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0138671875   minimal norm  16.661075063832975\n",
      "    Found minimum norm =  16.684290024944488  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.004882812500000001   minimal norm  16.684290024944488\n",
      "    Found minimum norm =  16.579465558760887  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0212890625   minimal norm  16.579465558760887\n",
      "    Found minimum norm =  16.68704726963002  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0041015625   minimal norm  16.68704726963002\n",
      "    Found minimum norm =  16.67404106508737  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.011132812500000002   minimal norm  16.67404106508737\n",
      "    Found minimum norm =  16.684120398706053  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.005664062500000001   minimal norm  16.684120398706053\n",
      "    Found minimum norm =  16.66343476259025  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.011132812500000002   minimal norm  16.66343476259025\n",
      "    Found minimum norm =  16.688087150803273  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0033203125000000003   minimal norm  16.688087150803273\n",
      "    Found minimum norm =  16.687158262153847  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0041015625   minimal norm  16.687158262153847\n",
      "    Found minimum norm =  16.68971921130803  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0005859375000000001   minimal norm  16.68971921130803\n",
      "    Found minimum norm =  16.14119592601661  for s =  0.08847656250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.08847656250000001   minimal norm  16.14119592601661\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  16.655236054739675  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0119140625   minimal norm  16.655236054739675\n",
      "    Found minimum norm =  16.595733204004258  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.020507812500000003   minimal norm  16.595733204004258\n",
      "    Found minimum norm =  16.67993686078964  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0076171875   minimal norm  16.67993686078964\n",
      "    Found minimum norm =  16.53138699921232  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0279296875   minimal norm  16.53138699921232\n",
      "    Found minimum norm =  16.68601998001921  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0052734375   minimal norm  16.68601998001921\n",
      "    Found minimum norm =  16.671161742421155  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0126953125   minimal norm  16.671161742421155\n",
      "    Found minimum norm =  16.67825530724755  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.008398437500000001   minimal norm  16.67825530724755\n",
      "    Found minimum norm =  16.52458141747235  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.029882812499999998   minimal norm  16.52458141747235\n",
      "    Found minimum norm =  16.687071938339496  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0052734375   minimal norm  16.687071938339496\n",
      "    Found minimum norm =  16.689572157767323  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0017578125   minimal norm  16.689572157767323\n",
      "    Found minimum norm =  16.66830067053764  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0162109375   minimal norm  16.66830067053764\n",
      "    Found minimum norm =  16.68364553596703  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0072265625   minimal norm  16.68364553596703\n",
      "    Found minimum norm =  16.666252289478052  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.012304687500000001   minimal norm  16.666252289478052\n",
      "    Found minimum norm =  16.62703326512824  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020898437500000002   minimal norm  16.62703326512824\n",
      "    Found minimum norm =  16.67404106508737  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.011132812500000002   minimal norm  16.67404106508737\n",
      "    Found minimum norm =  16.31382370503185  for s =  0.0537109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0537109375   minimal norm  16.31382370503185\n",
      "    Found minimum norm =  16.677428330381606  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.009179687500000002   minimal norm  16.677428330381606\n",
      "    Found minimum norm =  16.671161742421155  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0126953125   minimal norm  16.671161742421155\n",
      "    Found minimum norm =  16.686227129684834  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0087890625   minimal norm  16.686227129684834\n",
      "    Found minimum norm =  16.68965183856169  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0009765625   minimal norm  16.68965183856169\n",
      "    Found minimum norm =  16.67132191165748  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0146484375   minimal norm  16.67132191165748\n",
      "    Found minimum norm =  16.6184156358185  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.029882812499999998   minimal norm  16.6184156358185\n",
      "    Found minimum norm =  16.661075063832975  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0138671875   minimal norm  16.661075063832975\n",
      "    Found minimum norm =  16.613725964074494  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.021679687500000003   minimal norm  16.613725964074494\n",
      "    Found minimum norm =  16.675276069615542  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.009179687500000002   minimal norm  16.675276069615542\n",
      "    Found minimum norm =  16.627033265128244  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020898437500000002   minimal norm  16.627033265128244\n",
      "    Found minimum norm =  16.66518628692821  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0119140625   minimal norm  16.66518628692821\n",
      "    Found minimum norm =  16.507573707510236  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0283203125   minimal norm  16.507573707510236\n",
      "    Found minimum norm =  16.674305371367403  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.009179687500000002   minimal norm  16.674305371367403\n",
      "    Found minimum norm =  16.64834411801844  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.015039062499999999   minimal norm  16.64834411801844\n",
      "    Found minimum norm =  16.687158262153847  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0041015625   minimal norm  16.687158262153847\n",
      "    Found minimum norm =  16.206076601908958  for s =  0.059179687499999994\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.059179687499999994   minimal norm  16.206076601908958\n",
      "    Found minimum norm =  16.61011979193071  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.018554687500000003   minimal norm  16.61011979193071\n",
      "    Found minimum norm =  16.53138699921232  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0279296875   minimal norm  16.53138699921232\n",
      "    Found minimum norm =  16.680218873603454  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0080078125   minimal norm  16.680218873603454\n",
      "    Found minimum norm =  16.502506403807335  for s =  0.031835937499999994\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.031835937499999994   minimal norm  16.502506403807335\n",
      "    Found minimum norm =  16.689908365176247  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  16.689908365176247\n",
      "    Found minimum norm =  16.689651838561694  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0009765625   minimal norm  16.689651838561694\n",
      "    Found minimum norm =  16.655161713748154  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0166015625   minimal norm  16.655161713748154\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  16.314102460607444  for s =  0.05332031250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.05332031250000001   minimal norm  16.314102460607444\n",
      "    Found minimum norm =  16.683881097985623  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0064453125000000005   minimal norm  16.683881097985623\n",
      "    Found minimum norm =  16.683645535967027  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0072265625   minimal norm  16.683645535967027\n",
      "    Found minimum norm =  16.653544545336533  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0166015625   minimal norm  16.653544545336533\n",
      "    Found minimum norm =  16.58022915401965  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0259765625   minimal norm  16.58022915401965\n",
      "    Found minimum norm =  16.639966342386728  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0146484375   minimal norm  16.639966342386728\n",
      "    Found minimum norm =  16.507573707510236  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0283203125   minimal norm  16.507573707510236\n",
      "    Found minimum norm =  16.66343476259025  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.011132812500000002   minimal norm  16.66343476259025\n",
      "    Found minimum norm =  16.063977725225268  for s =  0.0529296875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0529296875   minimal norm  16.063977725225268\n",
      "    Found minimum norm =  16.59140990122592  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0212890625   minimal norm  16.59140990122592\n",
      "    Found minimum norm =  16.524581417472355  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.029882812499999998   minimal norm  16.524581417472355\n",
      "    Found minimum norm =  16.690088527965166  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  16.690088527965166\n",
      "    Found minimum norm =  16.314102460607444  for s =  0.05332031250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.05332031250000001   minimal norm  16.314102460607444\n",
      "    Found minimum norm =  16.68816865135399  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0029296875   minimal norm  16.68816865135399\n",
      "    Found minimum norm =  16.613725964074494  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.021679687500000003   minimal norm  16.613725964074494\n",
      "    Found minimum norm =  16.579465558760884  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0212890625   minimal norm  16.579465558760884\n",
      "    Found minimum norm =  15.993794175867196  for s =  0.0509765625\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0509765625   minimal norm  15.993794175867196\n",
      "    Found minimum norm =  16.589503996654468  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.024804687500000002   minimal norm  16.589503996654468\n",
      "    Found minimum norm =  16.31382370503185  for s =  0.0537109375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0537109375   minimal norm  16.31382370503185\n",
      "    Found minimum norm =  16.6324369011089  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0181640625   minimal norm  16.6324369011089\n",
      "    Found minimum norm =  16.06397772522527  for s =  0.0529296875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0529296875   minimal norm  16.06397772522527\n",
      "    Found minimum norm =  16.234930235048232  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.05722656250000001   minimal norm  16.234930235048232\n",
      "    Found minimum norm =  16.20607660190896  for s =  0.059179687499999994\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.059179687499999994   minimal norm  16.20607660190896\n",
      "    Found minimum norm =  16.14119592601661  for s =  0.08847656250000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.08847656250000001   minimal norm  16.14119592601661\n",
      "    Found minimum norm =  16.689748146314763  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  16.689748146314763\n",
      "    Found minimum norm =  15.381724389498991  for s =  0.010351562500000001\n",
      "Found that canonical is better because  15.381724389498991 15.993794175867196\n",
      "    Found minimum norm =  15.381724389498991  for s =  0.010351562500000001\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  5\n",
      "    Found minimum norm =  15.358100828199241  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.011132812500000002   minimal norm  15.358100828199241\n",
      "    Found minimum norm =  15.333671945205626  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0166015625   minimal norm  15.333671945205626\n",
      "    Found minimum norm =  15.368045938224597  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.009179687500000002   minimal norm  15.368045938224597\n",
      "    Found minimum norm =  15.32610916265479  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.017773437500000003   minimal norm  15.32610916265479\n",
      "    Found minimum norm =  15.358955069453323  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0107421875   minimal norm  15.358955069453323\n",
      "    Found minimum norm =  15.33323668846828  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0173828125   minimal norm  15.33323668846828\n",
      "    Found minimum norm =  15.351287704779695  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0126953125   minimal norm  15.351287704779695\n",
      "    Found minimum norm =  15.30338994153163  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.020117187500000005   minimal norm  15.30338994153163\n",
      "    Found minimum norm =  15.361413488251086  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0107421875   minimal norm  15.361413488251086\n",
      "    Found minimum norm =  15.34529173249106  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0158203125   minimal norm  15.34529173249106\n",
      "    Found minimum norm =  15.339529297853437  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0166015625   minimal norm  15.339529297853437\n",
      "    Found minimum norm =  15.334406886125851  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.016992187500000002   minimal norm  15.334406886125851\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  15.359947133840317  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0119140625   minimal norm  15.359947133840317\n",
      "    Found minimum norm =  15.340568537967144  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0173828125   minimal norm  15.340568537967144\n",
      "    Found minimum norm =  15.367233912887963  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.009960937500000003   minimal norm  15.367233912887963\n",
      "    Found minimum norm =  15.32713393542258  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.018554687500000003   minimal norm  15.32713393542258\n",
      "    Found minimum norm =  15.358955069453321  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0107421875   minimal norm  15.358955069453321\n",
      "    Found minimum norm =  15.341301755314143  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0158203125   minimal norm  15.341301755314143\n",
      "    Found minimum norm =  15.347110177630116  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0158203125   minimal norm  15.347110177630116\n",
      "    Found minimum norm =  15.358723381075952  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0126953125   minimal norm  15.358723381075952\n",
      "    Found minimum norm =  15.353454421823878  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0158203125   minimal norm  15.353454421823878\n",
      "    Found minimum norm =  15.323587518897625  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0244140625   minimal norm  15.323587518897625\n",
      "    Found minimum norm =  15.356183408409423  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0138671875   minimal norm  15.356183408409423\n",
      "    Found minimum norm =  15.37508833995545  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0064453125000000005   minimal norm  15.37508833995545\n",
      "    Found minimum norm =  15.359947133840318  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0119140625   minimal norm  15.359947133840318\n",
      "    Found minimum norm =  15.34075824958455  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.016992187500000002   minimal norm  15.34075824958455\n",
      "    Found minimum norm =  15.35820433549327  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0134765625   minimal norm  15.35820433549327\n",
      "    Found minimum norm =  15.337068152403658  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.016992187500000002   minimal norm  15.337068152403658\n",
      "    Found minimum norm =  15.353339734433046  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.012304687500000001   minimal norm  15.353339734433046\n",
      "    Found minimum norm =  15.322582155617063  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.018945312500000002   minimal norm  15.322582155617063\n",
      "    Found minimum norm =  15.351330889027283  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.013085937500000002   minimal norm  15.351330889027283\n",
      "    Found minimum norm =  15.061464162339865  for s =  0.04355468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.04355468750000001   minimal norm  15.061464162339865\n",
      "    Found minimum norm =  15.368045938224594  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.009179687500000002   minimal norm  15.368045938224594\n",
      "    Found minimum norm =  15.342053559580163  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0162109375   minimal norm  15.342053559580163\n",
      "    Found minimum norm =  15.324003692000538  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0173828125   minimal norm  15.324003692000538\n",
      "    Found minimum norm =  15.323726479849952  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.017773437500000003   minimal norm  15.323726479849952\n",
      "    Found minimum norm =  15.347110177630123  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0158203125   minimal norm  15.347110177630123\n",
      "    Found minimum norm =  15.325866582071148  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.022851562500000002   minimal norm  15.325866582071148\n",
      "    Found minimum norm =  15.37713101529232  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0080078125   minimal norm  15.37713101529232\n",
      "    Found minimum norm =  15.381657469500848  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0009765625   minimal norm  15.381657469500848\n",
      "    Found minimum norm =  15.339529297853444  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0166015625   minimal norm  15.339529297853444\n",
      "    Found minimum norm =  15.313976593869834  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0240234375   minimal norm  15.313976593869834\n",
      "    Found minimum norm =  15.373916683776542  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.014257812500000001   minimal norm  15.373916683776542\n",
      "    Found minimum norm =  15.324262268067105  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.024804687500000002   minimal norm  15.324262268067105\n",
      "    Found minimum norm =  15.358204335493264  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0134765625   minimal norm  15.358204335493264\n",
      "    Found minimum norm =  15.305456578604588  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.024804687500000002   minimal norm  15.305456578604588\n",
      "    Found minimum norm =  15.323220142514216  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0173828125   minimal norm  15.323220142514216\n",
      "    Found minimum norm =  15.327727967498573  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.016992187500000002   minimal norm  15.327727967498573\n",
      "    Found minimum norm =  15.351287704779704  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0126953125   minimal norm  15.351287704779704\n",
      "    Found minimum norm =  15.342511933701374  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0154296875   minimal norm  15.342511933701374\n",
      "    Found minimum norm =  15.377131015292319  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0080078125   minimal norm  15.377131015292319\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  15.352021995644636  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0173828125   minimal norm  15.352021995644636\n",
      "    Found minimum norm =  15.356183408409416  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0138671875   minimal norm  15.356183408409416\n",
      "    Found minimum norm =  15.295881023705297  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0283203125   minimal norm  15.295881023705297\n",
      "    Found minimum norm =  15.326281172695433  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0166015625   minimal norm  15.326281172695433\n",
      "    Found minimum norm =  15.271274750783242  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.022851562500000002   minimal norm  15.271274750783242\n",
      "    Found minimum norm =  15.367233912887961  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.009960937500000003   minimal norm  15.367233912887961\n",
      "    Found minimum norm =  15.326549943516442  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.020898437500000002   minimal norm  15.326549943516442\n",
      "    Found minimum norm =  15.32322014251422  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0173828125   minimal norm  15.32322014251422\n",
      "    Found minimum norm =  15.304954690338805  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.019335937500000004   minimal norm  15.304954690338805\n",
      "    Found minimum norm =  15.351330889027293  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.013085937500000002   minimal norm  15.351330889027293\n",
      "    Found minimum norm =  15.345468792347413  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0154296875   minimal norm  15.345468792347413\n",
      "    Found minimum norm =  15.378983509334589  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.005664062500000001   minimal norm  15.378983509334589\n",
      "    Found minimum norm =  15.018622358370987  for s =  0.0626953125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0626953125   minimal norm  15.018622358370987\n",
      "    Found minimum norm =  15.33367194520563  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0166015625   minimal norm  15.33367194520563\n",
      "    Found minimum norm =  15.301764173744882  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.022851562500000002   minimal norm  15.301764173744882\n",
      "    Found minimum norm =  15.342053559580165  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0162109375   minimal norm  15.342053559580165\n",
      "    Found minimum norm =  15.273784141026967  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.026367187500000003   minimal norm  15.273784141026967\n",
      "    Found minimum norm =  15.34130175531414  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0158203125   minimal norm  15.34130175531414\n",
      "    Found minimum norm =  15.296496220385427  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0240234375   minimal norm  15.296496220385427\n",
      "    Found minimum norm =  15.342511933701374  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0154296875   minimal norm  15.342511933701374\n",
      "    Found minimum norm =  15.250261251839333  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.026757812500000002   minimal norm  15.250261251839333\n",
      "    Found minimum norm =  15.345291732491058  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0158203125   minimal norm  15.345291732491058\n",
      "    Found minimum norm =  15.32613763374815  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.020507812500000003   minimal norm  15.32613763374815\n",
      "    Found minimum norm =  15.313976593869835  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0240234375   minimal norm  15.313976593869835\n",
      "    Found minimum norm =  15.33788496174429  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.017773437500000003   minimal norm  15.33788496174429\n",
      "    Found minimum norm =  15.340758249584553  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.016992187500000002   minimal norm  15.340758249584553\n",
      "    Found minimum norm =  15.310734414860761  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0259765625   minimal norm  15.310734414860761\n",
      "    Found minimum norm =  15.326549943516442  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.020898437500000002   minimal norm  15.326549943516442\n",
      "    Found minimum norm =  15.102609843735642  for s =  0.0470703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0470703125   minimal norm  15.102609843735642\n",
      "    Found minimum norm =  15.33323668846828  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0173828125   minimal norm  15.33323668846828\n",
      "    Found minimum norm =  15.296496220385427  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0240234375   minimal norm  15.296496220385427\n",
      "    Found minimum norm =  15.325866582071146  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.022851562500000002   minimal norm  15.325866582071146\n",
      "    Found minimum norm =  15.348156340389805  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0162109375   minimal norm  15.348156340389805\n",
      "    Found minimum norm =  15.323587518897629  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0244140625   minimal norm  15.323587518897629\n",
      "    Found minimum norm =  15.250753967472837  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0427734375   minimal norm  15.250753967472837\n",
      "    Found minimum norm =  15.295881023705299  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0283203125   minimal norm  15.295881023705299\n",
      "    Found minimum norm =  15.33537231849877  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.020507812500000003   minimal norm  15.33537231849877\n",
      "    Found minimum norm =  15.340568537967142  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0173828125   minimal norm  15.340568537967142\n",
      "    Found minimum norm =  15.310734414860763  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0259765625   minimal norm  15.310734414860763\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  15.30545657860459  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.024804687500000002   minimal norm  15.30545657860459\n",
      "    Found minimum norm =  15.22876183936376  for s =  0.0341796875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0341796875   minimal norm  15.22876183936376\n",
      "    Found minimum norm =  15.322582155617061  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.018945312500000002   minimal norm  15.322582155617061\n",
      "    Found minimum norm =  15.26456157572214  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0271484375   minimal norm  15.26456157572214\n",
      "    Found minimum norm =  15.345468792347415  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0154296875   minimal norm  15.345468792347415\n",
      "    Found minimum norm =  15.052790612526955  for s =  0.0439453125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0439453125   minimal norm  15.052790612526955\n",
      "    Found minimum norm =  15.326109162654788  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.017773437500000003   minimal norm  15.326109162654788\n",
      "    Found minimum norm =  15.27378414102697  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.026367187500000003   minimal norm  15.27378414102697\n",
      "    Found minimum norm =  15.323726479849954  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.017773437500000003   minimal norm  15.323726479849954\n",
      "    Found minimum norm =  15.21242280254656  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0271484375   minimal norm  15.21242280254656\n",
      "    Found minimum norm =  15.358723381075958  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0126953125   minimal norm  15.358723381075958\n",
      "    Found minimum norm =  15.348156340389801  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0162109375   minimal norm  15.348156340389801\n",
      "    Found minimum norm =  15.352021995644636  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0173828125   minimal norm  15.352021995644636\n",
      "    Found minimum norm =  15.153263431020372  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.05722656250000001   minimal norm  15.153263431020372\n",
      "    Found minimum norm =  15.334406886125858  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.016992187500000002   minimal norm  15.334406886125858\n",
      "    Found minimum norm =  15.33788496174429  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.017773437500000003   minimal norm  15.33788496174429\n",
      "    Found minimum norm =  15.324262268067105  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.024804687500000002   minimal norm  15.324262268067105\n",
      "    Found minimum norm =  15.36299421701769  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0181640625   minimal norm  15.36299421701769\n",
      "    Found minimum norm =  15.337068152403655  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.016992187500000002   minimal norm  15.337068152403655\n",
      "    Found minimum norm =  15.22876183936376  for s =  0.0341796875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0341796875   minimal norm  15.22876183936376\n",
      "    Found minimum norm =  15.304954690338805  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.019335937500000004   minimal norm  15.304954690338805\n",
      "    Found minimum norm =  14.943007321444096  for s =  0.0412109375\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0412109375   minimal norm  14.943007321444096\n",
      "    Found minimum norm =  15.303389941531634  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.020117187500000005   minimal norm  15.303389941531634\n",
      "    Found minimum norm =  15.250261251839333  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.026757812500000002   minimal norm  15.250261251839333\n",
      "    Found minimum norm =  15.38165746950085  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0009765625   minimal norm  15.38165746950085\n",
      "    Found minimum norm =  15.153263431020372  for s =  0.05722656250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.05722656250000001   minimal norm  15.153263431020372\n",
      "    Found minimum norm =  15.375088339955452  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0064453125000000005   minimal norm  15.375088339955452\n",
      "    Found minimum norm =  15.33537231849877  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.020507812500000003   minimal norm  15.33537231849877\n",
      "    Found minimum norm =  15.271274750783244  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.022851562500000002   minimal norm  15.271274750783244\n",
      "    Found minimum norm =  14.918910379757428  for s =  0.04082031250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.04082031250000001   minimal norm  14.918910379757428\n",
      "    Found minimum norm =  15.32713393542258  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.018554687500000003   minimal norm  15.32713393542258\n",
      "    Found minimum norm =  15.102609843735644  for s =  0.0470703125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0470703125   minimal norm  15.102609843735644\n",
      "    Found minimum norm =  15.327727967498575  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.016992187500000002   minimal norm  15.327727967498575\n",
      "    Found minimum norm =  14.943007321444096  for s =  0.0412109375\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0412109375   minimal norm  14.943007321444096\n",
      "    Found minimum norm =  15.061464162339872  for s =  0.04355468750000001\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.04355468750000001   minimal norm  15.061464162339872\n",
      "    Found minimum norm =  15.052790612526957  for s =  0.0439453125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0439453125   minimal norm  15.052790612526957\n",
      "    Found minimum norm =  15.018622358370989  for s =  0.0626953125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0626953125   minimal norm  15.018622358370989\n",
      "    Found minimum norm =  15.381724389498991  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  15.381724389498991\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  14.741517721868647  for s =  0.005664062500000001\n",
      "Found that canonical is better because  14.741517721868647 14.918910379757428\n",
      "    Found minimum norm =  14.741517721868647  for s =  0.005664062500000001\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  6\n",
      "    Found minimum norm =  14.706537902262937  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0138671875   minimal norm  14.706537902262937\n",
      "    Found minimum norm =  14.69044131498833  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0173828125   minimal norm  14.69044131498833\n",
      "    Found minimum norm =  14.729221476735939  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.010351562500000001   minimal norm  14.729221476735939\n",
      "    Found minimum norm =  14.701117722028293  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0162109375   minimal norm  14.701117722028293\n",
      "    Found minimum norm =  14.720639445840717  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0119140625   minimal norm  14.720639445840717\n",
      "    Found minimum norm =  14.717010394320797  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.015039062499999999   minimal norm  14.717010394320797\n",
      "    Found minimum norm =  14.69285855705176  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0166015625   minimal norm  14.69285855705176\n",
      "    Found minimum norm =  14.695837855480736  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.017773437500000003   minimal norm  14.695837855480736\n",
      "    Found minimum norm =  14.720115380687231  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.012304687500000001   minimal norm  14.720115380687231\n",
      "    Found minimum norm =  14.719044297510901  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.014257812500000001   minimal norm  14.719044297510901\n",
      "    Found minimum norm =  14.67674316228031  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.020898437500000002   minimal norm  14.67674316228031\n",
      "    Found minimum norm =  14.709050066935863  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0158203125   minimal norm  14.709050066935863\n",
      "    Found minimum norm =  14.705699230375918  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0154296875   minimal norm  14.705699230375918\n",
      "    Found minimum norm =  14.690205424346605  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.019335937500000004   minimal norm  14.690205424346605\n",
      "    Found minimum norm =  14.725435532017295  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.012304687500000001   minimal norm  14.725435532017295\n",
      "    Found minimum norm =  14.698686065060379  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0173828125   minimal norm  14.698686065060379\n",
      "    Found minimum norm =  14.720639445840716  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0119140625   minimal norm  14.720639445840716\n",
      "    Found minimum norm =  14.71994686811554  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0138671875   minimal norm  14.71994686811554\n",
      "    Found minimum norm =  14.68124769316526  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.020117187500000005   minimal norm  14.68124769316526\n",
      "    Found minimum norm =  14.723882191361229  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0115234375   minimal norm  14.723882191361229\n",
      "    Found minimum norm =  14.688954902270119  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.020507812500000003   minimal norm  14.688954902270119\n",
      "    Found minimum norm =  14.660445822638064  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.026757812500000002   minimal norm  14.660445822638064\n",
      "    Found minimum norm =  14.71586063214311  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.017773437500000003   minimal norm  14.71586063214311\n",
      "    Found minimum norm =  14.738946883727987  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0044921875000000005   minimal norm  14.738946883727987\n",
      "    Found minimum norm =  14.705699230375924  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0154296875   minimal norm  14.705699230375924\n",
      "    Found minimum norm =  14.693365089117638  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.018554687500000003   minimal norm  14.693365089117638\n",
      "    Found minimum norm =  14.717668394308076  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.017773437500000003   minimal norm  14.717668394308076\n",
      "    Found minimum norm =  14.711500103669785  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0162109375   minimal norm  14.711500103669785\n",
      "    Found minimum norm =  14.714164206860785  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.014257812500000001   minimal norm  14.714164206860785\n",
      "    Found minimum norm =  14.707775611591  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.018554687500000003   minimal norm  14.707775611591\n",
      "    Found minimum norm =  14.689220204455982  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.017773437500000003   minimal norm  14.689220204455982\n",
      "    Found minimum norm =  14.489660855590985  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0431640625   minimal norm  14.489660855590985\n",
      "    Found minimum norm =  14.729221476735933  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.010351562500000001   minimal norm  14.729221476735933\n",
      "    Found minimum norm =  14.70904858865797  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0162109375   minimal norm  14.70904858865797\n",
      "    Found minimum norm =  14.668493986078849  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020898437500000002   minimal norm  14.668493986078849\n",
      "    Found minimum norm =  14.721282875188077  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0138671875   minimal norm  14.721282875188077\n",
      "    Found minimum norm =  14.681247693165266  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.020117187500000005   minimal norm  14.681247693165266\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  14.674205573488845  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0271484375   minimal norm  14.674205573488845\n",
      "    Found minimum norm =  14.727645513002088  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0158203125   minimal norm  14.727645513002088\n",
      "    Found minimum norm =  14.733159208791895  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0076171875   minimal norm  14.733159208791895\n",
      "    Found minimum norm =  14.676743162280314  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.020898437500000002   minimal norm  14.676743162280314\n",
      "    Found minimum norm =  14.666099872979077  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0283203125   minimal norm  14.666099872979077\n",
      "    Found minimum norm =  14.705343953546327  for s =  0.0373046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0373046875   minimal norm  14.705343953546327\n",
      "    Found minimum norm =  14.655597029597075  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0279296875   minimal norm  14.655597029597075\n",
      "    Found minimum norm =  14.71766839430807  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.017773437500000003   minimal norm  14.71766839430807\n",
      "    Found minimum norm =  14.67744902824972  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0275390625   minimal norm  14.67744902824972\n",
      "    Found minimum norm =  14.66524605795668  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.021679687500000003   minimal norm  14.66524605795668\n",
      "    Found minimum norm =  14.736498282809833  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0072265625   minimal norm  14.736498282809833\n",
      "    Found minimum norm =  14.69285855705177  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0166015625   minimal norm  14.69285855705177\n",
      "    Found minimum norm =  14.700266636550428  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.018554687500000003   minimal norm  14.700266636550428\n",
      "    Found minimum norm =  14.727645513002086  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0158203125   minimal norm  14.727645513002086\n",
      "    Found minimum norm =  14.69789985818078  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0181640625   minimal norm  14.69789985818078\n",
      "    Found minimum norm =  14.715860632143102  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.017773437500000003   minimal norm  14.715860632143102\n",
      "    Found minimum norm =  14.675525685098197  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0279296875   minimal norm  14.675525685098197\n",
      "    Found minimum norm =  14.664477279150505  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.022460937500000003   minimal norm  14.664477279150505\n",
      "    Found minimum norm =  14.67870242742258  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0259765625   minimal norm  14.67870242742258\n",
      "    Found minimum norm =  14.725435532017288  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.012304687500000001   minimal norm  14.725435532017288\n",
      "    Found minimum norm =  14.697214509251515  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.019726562500000003   minimal norm  14.697214509251515\n",
      "    Found minimum norm =  14.665246057956681  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.021679687500000003   minimal norm  14.665246057956681\n",
      "    Found minimum norm =  14.701823780574475  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.020507812500000003   minimal norm  14.701823780574475\n",
      "    Found minimum norm =  14.68922020445599  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.017773437500000003   minimal norm  14.68922020445599\n",
      "    Found minimum norm =  14.694657606254447  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.020898437500000002   minimal norm  14.694657606254447\n",
      "    Found minimum norm =  14.731135815852157  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0119140625   minimal norm  14.731135815852157\n",
      "    Found minimum norm =  14.43794113789645  for s =  0.046289062500000006\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.046289062500000006   minimal norm  14.43794113789645\n",
      "    Found minimum norm =  14.690441314988334  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0173828125   minimal norm  14.690441314988334\n",
      "    Found minimum norm =  14.679880310922204  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.020898437500000002   minimal norm  14.679880310922204\n",
      "    Found minimum norm =  14.709048588657964  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0162109375   minimal norm  14.709048588657964\n",
      "    Found minimum norm =  14.708284590723295  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.019726562500000003   minimal norm  14.708284590723295\n",
      "    Found minimum norm =  14.719946868115535  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0138671875   minimal norm  14.719946868115535\n",
      "    Found minimum norm =  14.708451066199371  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.019335937500000004   minimal norm  14.708451066199371\n",
      "    Found minimum norm =  14.700266636550435  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.018554687500000003   minimal norm  14.700266636550435\n",
      "    Found minimum norm =  14.651010080803612  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.022851562500000002   minimal norm  14.651010080803612\n",
      "    Found minimum norm =  14.719044297510894  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.014257812500000001   minimal norm  14.719044297510894\n",
      "    Found minimum norm =  14.719682394577655  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0154296875   minimal norm  14.719682394577655\n",
      "    Found minimum norm =  14.666099872979082  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0283203125   minimal norm  14.666099872979082\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  14.707673328532168  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.015039062499999999   minimal norm  14.707673328532168\n",
      "    Found minimum norm =  14.693365089117645  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.018554687500000003   minimal norm  14.693365089117645\n",
      "    Found minimum norm =  14.68427317384849  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.022851562500000002   minimal norm  14.68427317384849\n",
      "    Found minimum norm =  14.697214509251507  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.019726562500000003   minimal norm  14.697214509251507\n",
      "    Found minimum norm =  14.537177155189372  for s =  0.0529296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0529296875   minimal norm  14.537177155189372\n",
      "    Found minimum norm =  14.717010394320793  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.015039062499999999   minimal norm  14.717010394320793\n",
      "    Found minimum norm =  14.70845106619937  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.019335937500000004   minimal norm  14.70845106619937\n",
      "    Found minimum norm =  14.674205573488848  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0271484375   minimal norm  14.674205573488848\n",
      "    Found minimum norm =  14.708038721416695  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.015039062499999999   minimal norm  14.708038721416695\n",
      "    Found minimum norm =  14.660445822638065  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.026757812500000002   minimal norm  14.660445822638065\n",
      "    Found minimum norm =  14.61513458084423  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0380859375   minimal norm  14.61513458084423\n",
      "    Found minimum norm =  14.675525685098194  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0279296875   minimal norm  14.675525685098194\n",
      "    Found minimum norm =  14.741328125293363  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0021484375   minimal norm  14.741328125293363\n",
      "    Found minimum norm =  14.690205424346606  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.019335937500000004   minimal norm  14.690205424346606\n",
      "    Found minimum norm =  14.684273173848494  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.022851562500000002   minimal norm  14.684273173848494\n",
      "    Found minimum norm =  14.677449028249717  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0275390625   minimal norm  14.677449028249717\n",
      "    Found minimum norm =  14.666377243702385  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.040039062500000014   minimal norm  14.666377243702385\n",
      "    Found minimum norm =  14.707775611590996  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.018554687500000003   minimal norm  14.707775611590996\n",
      "    Found minimum norm =  14.685900856642034  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0271484375   minimal norm  14.685900856642034\n",
      "    Found minimum norm =  14.694657606254454  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.020898437500000002   minimal norm  14.694657606254454\n",
      "    Found minimum norm =  14.490400245626962  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.03886718750000001   minimal norm  14.490400245626962\n",
      "    Found minimum norm =  14.701117722028291  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0162109375   minimal norm  14.701117722028291\n",
      "    Found minimum norm =  14.708284590723297  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.019726562500000003   minimal norm  14.708284590723297\n",
      "    Found minimum norm =  14.72128287518808  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0138671875   minimal norm  14.72128287518808\n",
      "    Found minimum norm =  14.634510127210046  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0220703125   minimal norm  14.634510127210046\n",
      "    Found minimum norm =  14.723882191361232  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0115234375   minimal norm  14.723882191361232\n",
      "    Found minimum norm =  14.708038721416692  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.015039062499999999   minimal norm  14.708038721416692\n",
      "    Found minimum norm =  14.697899858180778  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0181640625   minimal norm  14.697899858180778\n",
      "    Found minimum norm =  14.572040030823755  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0697265625   minimal norm  14.572040030823755\n",
      "    Found minimum norm =  14.709050066935868  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0158203125   minimal norm  14.709050066935868\n",
      "    Found minimum norm =  14.707673328532163  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.015039062499999999   minimal norm  14.707673328532163\n",
      "    Found minimum norm =  14.655597029597073  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0279296875   minimal norm  14.655597029597073\n",
      "    Found minimum norm =  14.741804145466979  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  14.741804145466979\n",
      "    Found minimum norm =  14.711500103669785  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0162109375   minimal norm  14.711500103669785\n",
      "    Found minimum norm =  14.666377243702389  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.040039062500000014   minimal norm  14.666377243702389\n",
      "    Found minimum norm =  14.70182378057448  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.020507812500000003   minimal norm  14.70182378057448\n",
      "    Found minimum norm =  14.433254922625578  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0380859375   minimal norm  14.433254922625578\n",
      "    Found minimum norm =  14.695837855480738  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.017773437500000003   minimal norm  14.695837855480738\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  14.65101008080361  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.022851562500000002   minimal norm  14.65101008080361\n",
      "    Found minimum norm =  14.733159208791895  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0076171875   minimal norm  14.733159208791895\n",
      "    Found minimum norm =  14.57204003082376  for s =  0.0697265625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0697265625   minimal norm  14.57204003082376\n",
      "    Found minimum norm =  14.738946883727989  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0044921875000000005   minimal norm  14.738946883727989\n",
      "    Found minimum norm =  14.74132812529336  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0021484375   minimal norm  14.74132812529336\n",
      "    Found minimum norm =  14.678702427422584  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0259765625   minimal norm  14.678702427422584\n",
      "    Found minimum norm =  14.432264133807022  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0380859375   minimal norm  14.432264133807022\n",
      "    Found minimum norm =  14.698686065060379  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0173828125   minimal norm  14.698686065060379\n",
      "    Found minimum norm =  14.537177155189372  for s =  0.0529296875\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0529296875   minimal norm  14.537177155189372\n",
      "    Found minimum norm =  14.736498282809833  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0072265625   minimal norm  14.736498282809833\n",
      "    Found minimum norm =  14.433254922625581  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0380859375   minimal norm  14.433254922625581\n",
      "    Found minimum norm =  14.489660855590987  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0431640625   minimal norm  14.489660855590987\n",
      "    Found minimum norm =  14.490400245626963  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.03886718750000001   minimal norm  14.490400245626963\n",
      "    Found minimum norm =  14.437941137896452  for s =  0.046289062500000006\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.046289062500000006   minimal norm  14.437941137896452\n",
      "    Found minimum norm =  14.741517721868647  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  14.741517721868647\n",
      "    Found minimum norm =  14.355371453734433  for s =  0.0041015625\n",
      "Found that canonical is better because  14.355371453734433 14.432264133807022\n",
      "    Found minimum norm =  14.355371453734433  for s =  0.0041015625\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  7\n",
      "    Found minimum norm =  14.330396672477596  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0126953125   minimal norm  14.330396672477596\n",
      "    Found minimum norm =  14.33044745330404  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0146484375   minimal norm  14.33044745330404\n",
      "    Found minimum norm =  14.349014402758383  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0087890625   minimal norm  14.349014402758383\n",
      "    Found minimum norm =  14.31554571064486  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0166015625   minimal norm  14.31554571064486\n",
      "    Found minimum norm =  14.343381324394857  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0107421875   minimal norm  14.343381324394857\n",
      "    Found minimum norm =  14.33474913063066  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.014257812500000001   minimal norm  14.33474913063066\n",
      "    Found minimum norm =  14.321154015998031  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0154296875   minimal norm  14.321154015998031\n",
      "    Found minimum norm =  14.338948508499614  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0134765625   minimal norm  14.338948508499614\n",
      "    Found minimum norm =  14.341428575376616  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0115234375   minimal norm  14.341428575376616\n",
      "    Found minimum norm =  14.334561689955583  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0138671875   minimal norm  14.334561689955583\n",
      "    Found minimum norm =  14.306542912441538  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.020507812500000003   minimal norm  14.306542912441538\n",
      "    Found minimum norm =  14.349094810896839  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0095703125   minimal norm  14.349094810896839\n",
      "    Found minimum norm =  14.330678486008926  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0138671875   minimal norm  14.330678486008926\n",
      "    Found minimum norm =  14.33114281124034  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.016992187500000002   minimal norm  14.33114281124034\n",
      "    Found minimum norm =  14.345167466345995  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0115234375   minimal norm  14.345167466345995\n",
      "    Found minimum norm =  14.319346164382154  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0166015625   minimal norm  14.319346164382154\n",
      "    Found minimum norm =  14.343381324394853  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0107421875   minimal norm  14.343381324394853\n",
      "    Found minimum norm =  14.336294161326064  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0134765625   minimal norm  14.336294161326064\n",
      "    Found minimum norm =  14.310508465651568  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.019335937500000004   minimal norm  14.310508465651568\n",
      "    Found minimum norm =  14.354728943784737  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0029296875   minimal norm  14.354728943784737\n",
      "    Found minimum norm =  14.313202808004203  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.020117187500000005   minimal norm  14.313202808004203\n",
      "    Found minimum norm =  14.297870661020175  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0306640625   minimal norm  14.297870661020175\n",
      "    Found minimum norm =  14.337237785749847  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.018554687500000003   minimal norm  14.337237785749847\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  14.353293344114668  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0041015625   minimal norm  14.353293344114668\n",
      "    Found minimum norm =  14.330678486008926  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0138671875   minimal norm  14.330678486008926\n",
      "    Found minimum norm =  14.334010196227677  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0158203125   minimal norm  14.334010196227677\n",
      "    Found minimum norm =  14.33829187333993  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.018554687500000003   minimal norm  14.33829187333993\n",
      "    Found minimum norm =  14.3249644305752  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0162109375   minimal norm  14.3249644305752\n",
      "    Found minimum norm =  14.337093614544097  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0138671875   minimal norm  14.337093614544097\n",
      "    Found minimum norm =  14.325326932145908  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0181640625   minimal norm  14.325326932145908\n",
      "    Found minimum norm =  14.317966722141367  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.016992187500000002   minimal norm  14.317966722141367\n",
      "    Found minimum norm =  14.131690181794472  for s =  0.054101562500000006\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.054101562500000006   minimal norm  14.131690181794472\n",
      "    Found minimum norm =  14.349014402758382  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0087890625   minimal norm  14.349014402758382\n",
      "    Found minimum norm =  14.325406098645425  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0158203125   minimal norm  14.325406098645425\n",
      "    Found minimum norm =  14.301534059056896  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020117187500000005   minimal norm  14.301534059056896\n",
      "    Found minimum norm =  14.355235728797048  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0017578125   minimal norm  14.355235728797048\n",
      "    Found minimum norm =  14.31050846565157  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.019335937500000004   minimal norm  14.31050846565157\n",
      "    Found minimum norm =  14.315354254348385  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0322265625   minimal norm  14.315354254348385\n",
      "    Found minimum norm =  14.346609464514254  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0166015625   minimal norm  14.346609464514254\n",
      "    Found minimum norm =  14.34808940917899  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0072265625   minimal norm  14.34808940917899\n",
      "    Found minimum norm =  14.306542912441538  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.020507812500000003   minimal norm  14.306542912441538\n",
      "    Found minimum norm =  14.305515208167849  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.03574218750000001   minimal norm  14.305515208167849\n",
      "    Found minimum norm =  14.30589101291489  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0498046875   minimal norm  14.30589101291489\n",
      "    Found minimum norm =  14.264752797430793  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0283203125   minimal norm  14.264752797430793\n",
      "    Found minimum norm =  14.338291873339928  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.018554687500000003   minimal norm  14.338291873339928\n",
      "    Found minimum norm =  14.295179022805453  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.026757812500000002   minimal norm  14.295179022805453\n",
      "    Found minimum norm =  14.298564762767015  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0212890625   minimal norm  14.298564762767015\n",
      "    Found minimum norm =  14.355680403097008  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  14.355680403097008\n",
      "    Found minimum norm =  14.321154015998033  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0154296875   minimal norm  14.321154015998033\n",
      "    Found minimum norm =  14.341589977442345  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.015039062499999999   minimal norm  14.341589977442345\n",
      "    Found minimum norm =  14.346609464514252  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0166015625   minimal norm  14.346609464514252\n",
      "    Found minimum norm =  14.313313817899834  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.017773437500000003   minimal norm  14.313313817899834\n",
      "    Found minimum norm =  14.337237785749844  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.018554687500000003   minimal norm  14.337237785749844\n",
      "    Found minimum norm =  14.295847281756123  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.026757812500000002   minimal norm  14.295847281756123\n",
      "    Found minimum norm =  14.297343628753227  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0220703125   minimal norm  14.297343628753227\n",
      "    Found minimum norm =  14.320975034308667  for s =  0.0310546875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0310546875   minimal norm  14.320975034308667\n",
      "    Found minimum norm =  14.345167466345991  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0115234375   minimal norm  14.345167466345991\n",
      "    Found minimum norm =  14.31404548287498  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.018945312500000002   minimal norm  14.31404548287498\n",
      "    Found minimum norm =  14.298564762767016  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0212890625   minimal norm  14.298564762767016\n",
      "    Found minimum norm =  14.346964554739126  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0162109375   minimal norm  14.346964554739126\n",
      "    Found minimum norm =  14.317966722141371  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.016992187500000002   minimal norm  14.317966722141371\n",
      "    Found minimum norm =  14.336732455131429  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.019335937500000004   minimal norm  14.336732455131429\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  14.349827989048913  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0107421875   minimal norm  14.349827989048913\n",
      "    Found minimum norm =  14.075829457167986  for s =  0.04472656250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.04472656250000001   minimal norm  14.075829457167986\n",
      "    Found minimum norm =  14.330447453304041  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0146484375   minimal norm  14.330447453304041\n",
      "    Found minimum norm =  14.308597572541725  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.019335937500000004   minimal norm  14.308597572541725\n",
      "    Found minimum norm =  14.32540609864542  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0158203125   minimal norm  14.32540609864542\n",
      "    Found minimum norm =  14.34184014420441  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0158203125   minimal norm  14.34184014420441\n",
      "    Found minimum norm =  14.33629416132606  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0134765625   minimal norm  14.33629416132606\n",
      "    Found minimum norm =  14.346301956369487  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0138671875   minimal norm  14.346301956369487\n",
      "    Found minimum norm =  14.341589977442348  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.015039062499999999   minimal norm  14.341589977442348\n",
      "    Found minimum norm =  14.294964988680556  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.020507812500000003   minimal norm  14.294964988680556\n",
      "    Found minimum norm =  14.33456168995558  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0138671875   minimal norm  14.33456168995558\n",
      "    Found minimum norm =  14.352533386875443  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0076171875   minimal norm  14.352533386875443\n",
      "    Found minimum norm =  14.305515208167852  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.03574218750000001   minimal norm  14.305515208167852\n",
      "    Found minimum norm =  14.33945707916699  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0119140625   minimal norm  14.33945707916699\n",
      "    Found minimum norm =  14.33401019622768  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0158203125   minimal norm  14.33401019622768\n",
      "    Found minimum norm =  14.314848420017015  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0212890625   minimal norm  14.314848420017015\n",
      "    Found minimum norm =  14.314045482874974  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.018945312500000002   minimal norm  14.314045482874974\n",
      "    Found minimum norm =  14.167700643194868  for s =  0.0634765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0634765625   minimal norm  14.167700643194868\n",
      "    Found minimum norm =  14.334749130630659  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.014257812500000001   minimal norm  14.334749130630659\n",
      "    Found minimum norm =  14.346301956369487  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0138671875   minimal norm  14.346301956369487\n",
      "    Found minimum norm =  14.315354254348389  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0322265625   minimal norm  14.315354254348389\n",
      "    Found minimum norm =  14.340267849065345  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0115234375   minimal norm  14.340267849065345\n",
      "    Found minimum norm =  14.297870661020179  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0306640625   minimal norm  14.297870661020179\n",
      "    Found minimum norm =  14.242737588296414  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.040039062500000014   minimal norm  14.242737588296414\n",
      "    Found minimum norm =  14.295847281756119  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.026757812500000002   minimal norm  14.295847281756119\n",
      "    Found minimum norm =  14.35559066000012  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  14.35559066000012\n",
      "    Found minimum norm =  14.331142811240344  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.016992187500000002   minimal norm  14.331142811240344\n",
      "    Found minimum norm =  14.314848420017015  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0212890625   minimal norm  14.314848420017015\n",
      "    Found minimum norm =  14.29517902280545  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.026757812500000002   minimal norm  14.29517902280545\n",
      "    Found minimum norm =  14.287629836127529  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0498046875   minimal norm  14.287629836127529\n",
      "    Found minimum norm =  14.325326932145904  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0181640625   minimal norm  14.325326932145904\n",
      "    Found minimum norm =  14.326434814349188  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0279296875   minimal norm  14.326434814349188\n",
      "    Found minimum norm =  14.33673245513143  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.019335937500000004   minimal norm  14.33673245513143\n",
      "    Found minimum norm =  14.146383601717345  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.040039062500000014   minimal norm  14.146383601717345\n",
      "    Found minimum norm =  14.315545710644859  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0166015625   minimal norm  14.315545710644859\n",
      "    Found minimum norm =  14.34184014420441  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0158203125   minimal norm  14.34184014420441\n",
      "    Found minimum norm =  14.35523572879705  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0017578125   minimal norm  14.35523572879705\n",
      "    Found minimum norm =  14.290731469509758  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.019726562500000003   minimal norm  14.290731469509758\n",
      "    Found minimum norm =  14.354728943784737  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0029296875   minimal norm  14.354728943784737\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  14.340267849065345  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0115234375   minimal norm  14.340267849065345\n",
      "    Found minimum norm =  14.313313817899832  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.017773437500000003   minimal norm  14.313313817899832\n",
      "    Found minimum norm =  14.202283196488827  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07753906250000002   minimal norm  14.202283196488827\n",
      "    Found minimum norm =  14.34909481089684  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0095703125   minimal norm  14.34909481089684\n",
      "    Found minimum norm =  14.33945707916699  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0119140625   minimal norm  14.33945707916699\n",
      "    Found minimum norm =  14.26475279743079  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0283203125   minimal norm  14.26475279743079\n",
      "    Found minimum norm =  14.355750637321147  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  14.355750637321147\n",
      "    Found minimum norm =  14.324964430575196  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0162109375   minimal norm  14.324964430575196\n",
      "    Found minimum norm =  14.287629836127529  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0498046875   minimal norm  14.287629836127529\n",
      "    Found minimum norm =  14.346964554739127  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0162109375   minimal norm  14.346964554739127\n",
      "    Found minimum norm =  14.097553159322356  for s =  0.04082031250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.04082031250000001   minimal norm  14.097553159322356\n",
      "    Found minimum norm =  14.338948508499614  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0134765625   minimal norm  14.338948508499614\n",
      "    Found minimum norm =  14.294964988680556  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.020507812500000003   minimal norm  14.294964988680556\n",
      "    Found minimum norm =  14.34808940917899  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0072265625   minimal norm  14.34808940917899\n",
      "    Found minimum norm =  14.202283196488832  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07753906250000002   minimal norm  14.202283196488832\n",
      "    Found minimum norm =  14.353293344114668  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0041015625   minimal norm  14.353293344114668\n",
      "    Found minimum norm =  14.355590660000122  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  14.355590660000122\n",
      "    Found minimum norm =  14.32097503430867  for s =  0.0310546875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0310546875   minimal norm  14.32097503430867\n",
      "    Found minimum norm =  14.098777823496764  for s =  0.04082031250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.04082031250000001   minimal norm  14.098777823496764\n",
      "    Found minimum norm =  14.319346164382152  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0166015625   minimal norm  14.319346164382152\n",
      "    Found minimum norm =  14.167700643194868  for s =  0.0634765625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0634765625   minimal norm  14.167700643194868\n",
      "    Found minimum norm =  14.355680403097008  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  14.355680403097008\n",
      "    Found minimum norm =  14.097553159322356  for s =  0.04082031250000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.04082031250000001   minimal norm  14.097553159322356\n",
      "    Found minimum norm =  14.131690181794472  for s =  0.054101562500000006\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.054101562500000006   minimal norm  14.131690181794472\n",
      "    Found minimum norm =  14.146383601717346  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.040039062500000014   minimal norm  14.146383601717346\n",
      "    Found minimum norm =  14.075829457167986  for s =  0.04472656250000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.04472656250000001   minimal norm  14.075829457167986\n",
      "    Found minimum norm =  14.355371453734433  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  14.355371453734433\n",
      "    Found minimum norm =  14.045878508432853  for s =  0.0041015625\n",
      "Found that canonical is better because  14.045878508432853 14.075829457167986\n",
      "    Found minimum norm =  14.045878508432853  for s =  0.0041015625\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  8\n",
      "    Found minimum norm =  14.010459700507383  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0138671875   minimal norm  14.010459700507383\n",
      "    Found minimum norm =  14.029676226148965  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.013085937500000002   minimal norm  14.029676226148965\n",
      "    Found minimum norm =  14.041753842396774  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0076171875   minimal norm  14.041753842396774\n",
      "    Found minimum norm =  13.991010352375458  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0173828125   minimal norm  13.991010352375458\n",
      "    Found minimum norm =  14.036870510014069  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0095703125   minimal norm  14.036870510014069\n",
      "    Found minimum norm =  14.009710014743533  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0162109375   minimal norm  14.009710014743533\n",
      "    Found minimum norm =  14.00069988302512  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0166015625   minimal norm  14.00069988302512\n",
      "    Found minimum norm =  14.036584712008331  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0115234375   minimal norm  14.036584712008331\n",
      "    Found minimum norm =  14.034489435046456  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.011132812500000002   minimal norm  14.034489435046456\n",
      "    Found minimum norm =  14.00841847050321  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0162109375   minimal norm  14.00841847050321\n",
      "    Found minimum norm =  13.985306063051338  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.020507812500000003   minimal norm  13.985306063051338\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  14.043979092149339  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0060546875   minimal norm  14.043979092149339\n",
      "    Found minimum norm =  14.009926777306468  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0154296875   minimal norm  14.009926777306468\n",
      "    Found minimum norm =  14.03035236615536  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0158203125   minimal norm  14.03035236615536\n",
      "    Found minimum norm =  14.038286893475464  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0107421875   minimal norm  14.038286893475464\n",
      "    Found minimum norm =  14.000370033661506  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0166015625   minimal norm  14.000370033661506\n",
      "    Found minimum norm =  14.036870510014067  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0095703125   minimal norm  14.036870510014067\n",
      "    Found minimum norm =  14.010369768882379  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0158203125   minimal norm  14.010369768882379\n",
      "    Found minimum norm =  13.989672551745368  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.019726562500000003   minimal norm  13.989672551745368\n",
      "    Found minimum norm =  14.045919681833634  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  14.045919681833634\n",
      "    Found minimum norm =  13.990445122970097  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.020507812500000003   minimal norm  13.990445122970097\n",
      "    Found minimum norm =  13.993987977881288  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0349609375   minimal norm  13.993987977881288\n",
      "    Found minimum norm =  14.031133018404525  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.018945312500000002   minimal norm  14.031133018404525\n",
      "    Found minimum norm =  14.035128511928926  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.008398437500000001   minimal norm  14.035128511928926\n",
      "    Found minimum norm =  14.00992677730647  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0154296875   minimal norm  14.00992677730647\n",
      "    Found minimum norm =  14.033061524556395  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.014257812500000001   minimal norm  14.033061524556395\n",
      "    Found minimum norm =  14.032078093460271  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.018554687500000003   minimal norm  14.032078093460271\n",
      "    Found minimum norm =  13.999755488388024  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.017773437500000003   minimal norm  13.999755488388024\n",
      "    Found minimum norm =  14.031149262893038  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.013085937500000002   minimal norm  14.031149262893038\n",
      "    Found minimum norm =  13.998758819977873  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.019335937500000004   minimal norm  13.998758819977873\n",
      "    Found minimum norm =  13.997126948415586  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0173828125   minimal norm  13.997126948415586\n",
      "    Found minimum norm =  13.843089475936102  for s =  0.0587890625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0587890625   minimal norm  13.843089475936102\n",
      "    Found minimum norm =  14.041753842396776  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0076171875   minimal norm  14.041753842396776\n",
      "    Found minimum norm =  14.002006620996415  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.016992187500000002   minimal norm  14.002006620996415\n",
      "    Found minimum norm =  13.981516951094264  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020117187500000005   minimal norm  13.981516951094264\n",
      "    Found minimum norm =  14.045959745035102  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  14.045959745035102\n",
      "    Found minimum norm =  13.989672551745368  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.019726562500000003   minimal norm  13.989672551745368\n",
      "    Found minimum norm =  14.010784498786409  for s =  0.0373046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0373046875   minimal norm  14.010784498786409\n",
      "    Found minimum norm =  14.039810028831576  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0158203125   minimal norm  14.039810028831576\n",
      "    Found minimum norm =  14.029314820065634  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.009960937500000003   minimal norm  14.029314820065634\n",
      "    Found minimum norm =  13.985306063051338  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.020507812500000003   minimal norm  13.985306063051338\n",
      "    Found minimum norm =  13.997147450408644  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0427734375   minimal norm  13.997147450408644\n",
      "    Found minimum norm =  13.993569115241487  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0498046875   minimal norm  13.993569115241487\n",
      "    Found minimum norm =  13.938184273772036  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0275390625   minimal norm  13.938184273772036\n",
      "    Found minimum norm =  14.032078093460271  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.018554687500000003   minimal norm  14.032078093460271\n",
      "    Found minimum norm =  13.971374102618372  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.024804687500000002   minimal norm  13.971374102618372\n",
      "    Found minimum norm =  13.978593971025619  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0212890625   minimal norm  13.978593971025619\n",
      "    Found minimum norm =  14.046333236547037  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  14.046333236547037\n",
      "    Found minimum norm =  14.000699883025124  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0166015625   minimal norm  14.000699883025124\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  14.038669332099476  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0126953125   minimal norm  14.038669332099476\n",
      "    Found minimum norm =  14.039810028831575  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0158203125   minimal norm  14.039810028831575\n",
      "    Found minimum norm =  13.989759032295852  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.018554687500000003   minimal norm  13.989759032295852\n",
      "    Found minimum norm =  14.031133018404523  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.018945312500000002   minimal norm  14.031133018404523\n",
      "    Found minimum norm =  13.972265746733198  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.024804687500000002   minimal norm  13.972265746733198\n",
      "    Found minimum norm =  13.977426496919232  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.021679687500000003   minimal norm  13.977426496919232\n",
      "    Found minimum norm =  14.016165159566697  for s =  0.03691406250000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.03691406250000001   minimal norm  14.016165159566697\n",
      "    Found minimum norm =  14.038286893475462  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0107421875   minimal norm  14.038286893475462\n",
      "    Found minimum norm =  13.989548174758701  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.019726562500000003   minimal norm  13.989548174758701\n",
      "    Found minimum norm =  13.97859397102562  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0212890625   minimal norm  13.97859397102562\n",
      "    Found minimum norm =  14.043363913894712  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0115234375   minimal norm  14.043363913894712\n",
      "    Found minimum norm =  13.997126948415582  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0173828125   minimal norm  13.997126948415582\n",
      "    Found minimum norm =  14.03467291784011  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0181640625   minimal norm  14.03467291784011\n",
      "    Found minimum norm =  14.04253596401284  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.009179687500000002   minimal norm  14.04253596401284\n",
      "    Found minimum norm =  13.782879367978055  for s =  0.0392578125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0392578125   minimal norm  13.782879367978055\n",
      "    Found minimum norm =  14.029676226148966  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.013085937500000002   minimal norm  14.029676226148966\n",
      "    Found minimum norm =  13.98741313547883  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.019335937500000004   minimal norm  13.98741313547883\n",
      "    Found minimum norm =  14.002006620996411  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.016992187500000002   minimal norm  14.002006620996411\n",
      "    Found minimum norm =  14.035584675524479  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.015039062499999999   minimal norm  14.035584675524479\n",
      "    Found minimum norm =  14.010369768882375  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0158203125   minimal norm  14.010369768882375\n",
      "    Found minimum norm =  14.04047674379737  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.012304687500000001   minimal norm  14.04047674379737\n",
      "    Found minimum norm =  14.038669332099479  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0126953125   minimal norm  14.038669332099479\n",
      "    Found minimum norm =  13.979562976766578  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.020117187500000005   minimal norm  13.979562976766578\n",
      "    Found minimum norm =  14.008418470503209  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0162109375   minimal norm  14.008418470503209\n",
      "    Found minimum norm =  14.044966133022683  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.004882812500000001   minimal norm  14.044966133022683\n",
      "    Found minimum norm =  13.997147450408645  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0427734375   minimal norm  13.997147450408645\n",
      "    Found minimum norm =  14.020500085926399  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0134765625   minimal norm  14.020500085926399\n",
      "    Found minimum norm =  14.033061524556397  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.014257812500000001   minimal norm  14.033061524556397\n",
      "    Found minimum norm =  13.993578860725549  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020898437500000002   minimal norm  13.993578860725549\n",
      "    Found minimum norm =  13.989548174758696  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.019726562500000003   minimal norm  13.989548174758696\n",
      "    Found minimum norm =  13.872716887783207  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0666015625   minimal norm  13.872716887783207\n",
      "    Found minimum norm =  14.009710014743527  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0162109375   minimal norm  14.009710014743527\n",
      "    Found minimum norm =  14.040476743797372  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.012304687500000001   minimal norm  14.040476743797372\n",
      "    Found minimum norm =  14.01078449878641  for s =  0.0373046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0373046875   minimal norm  14.01078449878641\n",
      "    Found minimum norm =  14.021547864198341  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.013085937500000002   minimal norm  14.021547864198341\n",
      "    Found minimum norm =  13.99398797788129  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0349609375   minimal norm  13.99398797788129\n",
      "    Found minimum norm =  13.925639872065727  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0353515625   minimal norm  13.925639872065727\n",
      "    Found minimum norm =  13.972265746733196  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.024804687500000002   minimal norm  13.972265746733196\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  14.046138724988602  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  14.046138724988602\n",
      "    Found minimum norm =  14.030352366155364  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0158203125   minimal norm  14.030352366155364\n",
      "    Found minimum norm =  13.99357886072555  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020898437500000002   minimal norm  13.99357886072555\n",
      "    Found minimum norm =  13.971374102618366  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.024804687500000002   minimal norm  13.971374102618366\n",
      "    Found minimum norm =  13.969219319457505  for s =  0.0634765625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0634765625   minimal norm  13.969219319457505\n",
      "    Found minimum norm =  13.998758819977871  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.019335937500000004   minimal norm  13.998758819977871\n",
      "    Found minimum norm =  14.02122909745593  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0306640625   minimal norm  14.02122909745593\n",
      "    Found minimum norm =  14.034672917840112  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0181640625   minimal norm  14.034672917840112\n",
      "    Found minimum norm =  13.84963485217336  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0361328125   minimal norm  13.84963485217336\n",
      "    Found minimum norm =  13.991010352375456  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0173828125   minimal norm  13.991010352375456\n",
      "    Found minimum norm =  14.035584675524479  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.015039062499999999   minimal norm  14.035584675524479\n",
      "    Found minimum norm =  14.045959745035102  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  14.045959745035102\n",
      "    Found minimum norm =  13.977721173883909  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.019335937500000004   minimal norm  13.977721173883909\n",
      "    Found minimum norm =  14.045919681833633  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  14.045919681833633\n",
      "    Found minimum norm =  14.021547864198341  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.013085937500000002   minimal norm  14.021547864198341\n",
      "    Found minimum norm =  13.98975903229585  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.018554687500000003   minimal norm  13.98975903229585\n",
      "    Found minimum norm =  13.913573180775007  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07832031250000002   minimal norm  13.913573180775007\n",
      "    Found minimum norm =  14.043979092149343  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0060546875   minimal norm  14.043979092149343\n",
      "    Found minimum norm =  14.020500085926399  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0134765625   minimal norm  14.020500085926399\n",
      "    Found minimum norm =  13.938184273772032  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0275390625   minimal norm  13.938184273772032\n",
      "    Found minimum norm =  14.046269512725049  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  14.046269512725049\n",
      "    Found minimum norm =  13.999755488388022  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.017773437500000003   minimal norm  13.999755488388022\n",
      "    Found minimum norm =  13.969219319457503  for s =  0.0634765625\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0634765625   minimal norm  13.969219319457503\n",
      "    Found minimum norm =  14.043363913894712  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0115234375   minimal norm  14.043363913894712\n",
      "    Found minimum norm =  13.802097532558971  for s =  0.03769531250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.03769531250000001   minimal norm  13.802097532558971\n",
      "    Found minimum norm =  14.036584712008334  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0115234375   minimal norm  14.036584712008334\n",
      "    Found minimum norm =  13.979562976766578  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.020117187500000005   minimal norm  13.979562976766578\n",
      "    Found minimum norm =  14.029314820065633  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.009960937500000003   minimal norm  14.029314820065633\n",
      "    Found minimum norm =  13.913573180775012  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07832031250000002   minimal norm  13.913573180775012\n",
      "    Found minimum norm =  14.035128511928924  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.008398437500000001   minimal norm  14.035128511928924\n",
      "    Found minimum norm =  14.046138724988598  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  14.046138724988598\n",
      "    Found minimum norm =  14.016165159566699  for s =  0.03691406250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.03691406250000001   minimal norm  14.016165159566699\n",
      "    Found minimum norm =  13.804129615003236  for s =  0.0373046875\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0373046875   minimal norm  13.804129615003236\n",
      "    Found minimum norm =  14.000370033661506  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0166015625   minimal norm  14.000370033661506\n",
      "    Found minimum norm =  13.872716887783204  for s =  0.0666015625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0666015625   minimal norm  13.872716887783204\n",
      "    Found minimum norm =  14.046333236547039  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  14.046333236547039\n",
      "    Found minimum norm =  13.80209753255897  for s =  0.03769531250000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.03769531250000001   minimal norm  13.80209753255897\n",
      "    Found minimum norm =  13.8430894759361  for s =  0.0587890625\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0587890625   minimal norm  13.8430894759361\n",
      "    Found minimum norm =  13.849634852173361  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0361328125   minimal norm  13.849634852173361\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.782879367978051  for s =  0.0392578125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0392578125   minimal norm  13.782879367978051\n",
      "    Found minimum norm =  14.045878508432853  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  14.045878508432853\n",
      "    Found minimum norm =  13.77166165439927  for s =  0.0037109375\n",
      "Found that canonical is better because  13.77166165439927 13.782879367978051\n",
      "    Found minimum norm =  13.77166165439927  for s =  0.0037109375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  9\n",
      "    Found minimum norm =  13.732274207599346  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.014257812500000001   minimal norm  13.732274207599346\n",
      "    Found minimum norm =  13.76460371311694  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.009960937500000003   minimal norm  13.76460371311694\n",
      "    Found minimum norm =  13.770966130485796  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0033203125000000003   minimal norm  13.770966130485796\n",
      "    Found minimum norm =  13.71584654521969  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.017773437500000003   minimal norm  13.71584654521969\n",
      "    Found minimum norm =  13.76914706758359  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0060546875   minimal norm  13.76914706758359\n",
      "    Found minimum norm =  13.731142547859783  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0166015625   minimal norm  13.731142547859783\n",
      "    Found minimum norm =  13.725315544344705  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0166015625   minimal norm  13.725315544344705\n",
      "    Found minimum norm =  13.767911636499367  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.008398437500000001   minimal norm  13.767911636499367\n",
      "    Found minimum norm =  13.76727695012541  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0080078125   minimal norm  13.76727695012541\n",
      "    Found minimum norm =  13.728831102678145  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.016992187500000002   minimal norm  13.728831102678145\n",
      "    Found minimum norm =  13.709728822353386  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.020507812500000003   minimal norm  13.709728822353386\n",
      "    Found minimum norm =  13.77166934529071  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  13.77166934529071\n",
      "    Found minimum norm =  13.731321494111326  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0158203125   minimal norm  13.731321494111326\n",
      "    Found minimum norm =  13.765979319562017  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.012304687500000001   minimal norm  13.765979319562017\n",
      "    Found minimum norm =  13.76903149373495  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0072265625   minimal norm  13.76903149373495\n",
      "    Found minimum norm =  13.729197268709814  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0158203125   minimal norm  13.729197268709814\n",
      "    Found minimum norm =  13.76914706758359  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0060546875   minimal norm  13.76914706758359\n",
      "    Found minimum norm =  13.730781851427256  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0166015625   minimal norm  13.730781851427256\n",
      "    Found minimum norm =  13.714455138012084  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.019726562500000003   minimal norm  13.714455138012084\n",
      "    Found minimum norm =  13.771817699269338  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  13.771817699269338\n",
      "    Found minimum norm =  13.71077143160189  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.020898437500000002   minimal norm  13.71077143160189\n",
      "    Found minimum norm =  13.721444247642506  for s =  0.0466796875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0466796875   minimal norm  13.721444247642506\n",
      "    Found minimum norm =  13.764338209518664  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0173828125   minimal norm  13.764338209518664\n",
      "    Found minimum norm =  13.759324479425542  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.009179687500000002   minimal norm  13.759324479425542\n",
      "    Found minimum norm =  13.731321494111327  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0158203125   minimal norm  13.731321494111327\n",
      "    Found minimum norm =  13.767897445503413  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0095703125   minimal norm  13.767897445503413\n",
      "    Found minimum norm =  13.765132832137171  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.016992187500000002   minimal norm  13.765132832137171\n",
      "    Found minimum norm =  13.72407326842081  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0181640625   minimal norm  13.72407326842081\n",
      "    Found minimum norm =  13.765554037452688  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.010351562500000001   minimal norm  13.765554037452688\n",
      "    Found minimum norm =  13.71958073865679  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.019335937500000004   minimal norm  13.71958073865679\n",
      "    Found minimum norm =  13.721693167797552  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.017773437500000003   minimal norm  13.721693167797552\n",
      "    Found minimum norm =  13.576285068053904  for s =  0.06894531250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.06894531250000001   minimal norm  13.576285068053904\n",
      "    Found minimum norm =  13.770966130485794  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0033203125000000003   minimal norm  13.770966130485794\n",
      "    Found minimum norm =  13.727812774197883  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0166015625   minimal norm  13.727812774197883\n",
      "    Found minimum norm =  13.709852563879858  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020117187500000005   minimal norm  13.709852563879858\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.771805841837859  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  13.771805841837859\n",
      "    Found minimum norm =  13.714455138012084  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.019726562500000003   minimal norm  13.714455138012084\n",
      "    Found minimum norm =  13.736627186966523  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0498046875   minimal norm  13.736627186966523\n",
      "    Found minimum norm =  13.769403070590574  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.012304687500000001   minimal norm  13.769403070590574\n",
      "    Found minimum norm =  13.756788533092436  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0095703125   minimal norm  13.756788533092436\n",
      "    Found minimum norm =  13.709728822353387  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.020507812500000003   minimal norm  13.709728822353387\n",
      "    Found minimum norm =  13.717717189361647  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0498046875   minimal norm  13.717717189361647\n",
      "    Found minimum norm =  13.69487513551226  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.07480468750000001   minimal norm  13.69487513551226\n",
      "    Found minimum norm =  13.66346613666054  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0283203125   minimal norm  13.66346613666054\n",
      "    Found minimum norm =  13.765132832137171  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.016992187500000002   minimal norm  13.765132832137171\n",
      "    Found minimum norm =  13.69707895522954  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.024804687500000002   minimal norm  13.69707895522954\n",
      "    Found minimum norm =  13.707115278046999  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0212890625   minimal norm  13.707115278046999\n",
      "    Found minimum norm =  13.772207230806309  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  13.772207230806309\n",
      "    Found minimum norm =  13.725315544344703  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0166015625   minimal norm  13.725315544344703\n",
      "    Found minimum norm =  13.76968510017003  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.008398437500000001   minimal norm  13.76968510017003\n",
      "    Found minimum norm =  13.769403070590574  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.012304687500000001   minimal norm  13.769403070590574\n",
      "    Found minimum norm =  13.718163315886613  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.018554687500000003   minimal norm  13.718163315886613\n",
      "    Found minimum norm =  13.764338209518664  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0173828125   minimal norm  13.764338209518664\n",
      "    Found minimum norm =  13.698180665388437  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.024804687500000002   minimal norm  13.698180665388437\n",
      "    Found minimum norm =  13.705972956617911  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.021679687500000003   minimal norm  13.705972956617911\n",
      "    Found minimum norm =  13.742265886047148  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.04550781250000001   minimal norm  13.742265886047148\n",
      "    Found minimum norm =  13.76903149373495  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0072265625   minimal norm  13.76903149373495\n",
      "    Found minimum norm =  13.715056386459198  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.019726562500000003   minimal norm  13.715056386459198\n",
      "    Found minimum norm =  13.707115278046999  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0212890625   minimal norm  13.707115278046999\n",
      "    Found minimum norm =  13.77152797803588  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0037109375   minimal norm  13.77152797803588\n",
      "    Found minimum norm =  13.721693167797554  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.017773437500000003   minimal norm  13.721693167797554\n",
      "    Found minimum norm =  13.767279800882386  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.015039062499999999   minimal norm  13.767279800882386\n",
      "    Found minimum norm =  13.770802151718808  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.005664062500000001   minimal norm  13.770802151718808\n",
      "    Found minimum norm =  13.524398847580839  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.03886718750000001   minimal norm  13.524398847580839\n",
      "    Found minimum norm =  13.76460371311694  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.009960937500000003   minimal norm  13.76460371311694\n",
      "    Found minimum norm =  13.711955090643363  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.019335937500000004   minimal norm  13.711955090643363\n",
      "    Found minimum norm =  13.727812774197883  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0166015625   minimal norm  13.727812774197883\n",
      "    Found minimum norm =  13.765143667793838  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0134765625   minimal norm  13.765143667793838\n",
      "    Found minimum norm =  13.730781851427256  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0166015625   minimal norm  13.730781851427256\n",
      "    Found minimum norm =  13.7713763683189  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0041015625   minimal norm  13.7713763683189\n",
      "    Found minimum norm =  13.769685100170031  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.008398437500000001   minimal norm  13.769685100170031\n",
      "    Found minimum norm =  13.710675964674843  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.019335937500000004   minimal norm  13.710675964674843\n",
      "    Found minimum norm =  13.728831102678143  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.016992187500000002   minimal norm  13.728831102678143\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.77172159186129  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  13.77172159186129\n",
      "    Found minimum norm =  13.717717189361645  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0498046875   minimal norm  13.717717189361645\n",
      "    Found minimum norm =  13.74751510763659  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0134765625   minimal norm  13.74751510763659\n",
      "    Found minimum norm =  13.767897445503413  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0095703125   minimal norm  13.767897445503413\n",
      "    Found minimum norm =  13.71790951932103  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020898437500000002   minimal norm  13.71790951932103\n",
      "    Found minimum norm =  13.715056386459196  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.019726562500000003   minimal norm  13.715056386459196\n",
      "    Found minimum norm =  13.600234369098555  for s =  0.07597656250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.07597656250000001   minimal norm  13.600234369098555\n",
      "    Found minimum norm =  13.731142547859783  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0166015625   minimal norm  13.731142547859783\n",
      "    Found minimum norm =  13.7713763683189  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0041015625   minimal norm  13.7713763683189\n",
      "    Found minimum norm =  13.736627186966526  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0498046875   minimal norm  13.736627186966526\n",
      "    Found minimum norm =  13.748469645631806  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.013085937500000002   minimal norm  13.748469645631806\n",
      "    Found minimum norm =  13.721444247642506  for s =  0.0466796875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0466796875   minimal norm  13.721444247642506\n",
      "    Found minimum norm =  13.648056094709437  for s =  0.0349609375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0349609375   minimal norm  13.648056094709437\n",
      "    Found minimum norm =  13.698180665388435  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.024804687500000002   minimal norm  13.698180665388435\n",
      "    Found minimum norm =  13.771988594333763  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  13.771988594333763\n",
      "    Found minimum norm =  13.765979319562017  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.012304687500000001   minimal norm  13.765979319562017\n",
      "    Found minimum norm =  13.717909519321031  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020898437500000002   minimal norm  13.717909519321031\n",
      "    Found minimum norm =  13.69707895522954  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.024804687500000002   minimal norm  13.69707895522954\n",
      "    Found minimum norm =  13.671781227952714  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.08222656250000002   minimal norm  13.671781227952714\n",
      "    Found minimum norm =  13.71958073865679  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.019335937500000004   minimal norm  13.71958073865679\n",
      "    Found minimum norm =  13.752533463037215  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0427734375   minimal norm  13.752533463037215\n",
      "    Found minimum norm =  13.767279800882388  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.015039062499999999   minimal norm  13.767279800882388\n",
      "    Found minimum norm =  13.589286720398903  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0353515625   minimal norm  13.589286720398903\n",
      "    Found minimum norm =  13.715846545219689  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.017773437500000003   minimal norm  13.715846545219689\n",
      "    Found minimum norm =  13.765143667793838  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0134765625   minimal norm  13.765143667793838\n",
      "    Found minimum norm =  13.77180584183786  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  13.77180584183786\n",
      "    Found minimum norm =  13.713109236517525  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.018554687500000003   minimal norm  13.713109236517525\n",
      "    Found minimum norm =  13.771817699269336  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.771817699269336\n",
      "    Found minimum norm =  13.748469645631808  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.013085937500000002   minimal norm  13.748469645631808\n",
      "    Found minimum norm =  13.718163315886613  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.018554687500000003   minimal norm  13.718163315886613\n",
      "    Found minimum norm =  13.657046140673627  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07792968750000001   minimal norm  13.657046140673627\n",
      "    Found minimum norm =  13.77166934529071  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  13.77166934529071\n",
      "    Found minimum norm =  13.747515107636591  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0134765625   minimal norm  13.747515107636591\n",
      "    Found minimum norm =  13.66346613666054  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0283203125   minimal norm  13.66346613666054\n",
      "    Found minimum norm =  13.772050709021169  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  13.772050709021169\n",
      "    Found minimum norm =  13.72407326842081  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0181640625   minimal norm  13.72407326842081\n",
      "    Found minimum norm =  13.671781227952714  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.08222656250000002   minimal norm  13.671781227952714\n",
      "    Found minimum norm =  13.771527978035884  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0037109375   minimal norm  13.771527978035884\n",
      "    Found minimum norm =  13.543212088000288  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0380859375   minimal norm  13.543212088000288\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.767911636499367  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.008398437500000001   minimal norm  13.767911636499367\n",
      "    Found minimum norm =  13.710675964674843  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.019335937500000004   minimal norm  13.710675964674843\n",
      "    Found minimum norm =  13.756788533092436  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0095703125   minimal norm  13.756788533092436\n",
      "    Found minimum norm =  13.65704614067363  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07792968750000001   minimal norm  13.65704614067363\n",
      "    Found minimum norm =  13.75932447942554  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.009179687500000002   minimal norm  13.75932447942554\n",
      "    Found minimum norm =  13.771988594333763  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  13.771988594333763\n",
      "    Found minimum norm =  13.742265886047148  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.04550781250000001   minimal norm  13.742265886047148\n",
      "    Found minimum norm =  13.545823271334191  for s =  0.03769531250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.03769531250000001   minimal norm  13.545823271334191\n",
      "    Found minimum norm =  13.729197268709813  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0158203125   minimal norm  13.729197268709813\n",
      "    Found minimum norm =  13.600234369098555  for s =  0.07597656250000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.07597656250000001   minimal norm  13.600234369098555\n",
      "    Found minimum norm =  13.772207230806309  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  13.772207230806309\n",
      "    Found minimum norm =  13.543212088000288  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0380859375   minimal norm  13.543212088000288\n",
      "    Found minimum norm =  13.5762850680539  for s =  0.06894531250000001\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.06894531250000001   minimal norm  13.5762850680539\n",
      "    Found minimum norm =  13.589286720398903  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0353515625   minimal norm  13.589286720398903\n",
      "    Found minimum norm =  13.524398847580837  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.03886718750000001   minimal norm  13.524398847580837\n",
      "    Found minimum norm =  13.77166165439927  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  13.77166165439927\n",
      "    Found minimum norm =  13.522167201296423  for s =  0.0033203125000000003\n",
      "Found that canonical is better because  13.522167201296423 13.524398847580837\n",
      "    Found minimum norm =  13.522167201296423  for s =  0.0033203125000000003\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  10\n",
      "    Found minimum norm =  13.495943932498347  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.013085937500000002   minimal norm  13.495943932498347\n",
      "    Found minimum norm =  13.520185512798424  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0060546875   minimal norm  13.520185512798424\n",
      "    Found minimum norm =  13.522195968334492  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  13.522195968334492\n",
      "    Found minimum norm =  13.484996109888808  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0166015625   minimal norm  13.484996109888808\n",
      "    Found minimum norm =  13.522162548416429  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.522162548416429\n",
      "    Found minimum norm =  13.49681514313831  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0154296875   minimal norm  13.49681514313831\n",
      "    Found minimum norm =  13.492740435878103  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0154296875   minimal norm  13.492740435878103\n",
      "    Found minimum norm =  13.520974295017393  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0052734375   minimal norm  13.520974295017393\n",
      "    Found minimum norm =  13.521625022740702  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0033203125000000003   minimal norm  13.521625022740702\n",
      "    Found minimum norm =  13.493699955202844  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0158203125   minimal norm  13.493699955202844\n",
      "    Found minimum norm =  13.477925712647151  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.020507812500000003   minimal norm  13.477925712647151\n",
      "    Found minimum norm =  13.522254203760058  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  13.522254203760058\n",
      "    Found minimum norm =  13.495501448212101  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0146484375   minimal norm  13.495501448212101\n",
      "    Found minimum norm =  13.521729084567248  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.004882812500000001   minimal norm  13.521729084567248\n",
      "    Found minimum norm =  13.52191687498896  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0025390625000000005   minimal norm  13.52191687498896\n",
      "    Found minimum norm =  13.499953031719938  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0134765625   minimal norm  13.499953031719938\n",
      "    Found minimum norm =  13.522162548416429  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  13.522162548416429\n",
      "    Found minimum norm =  13.49548158778649  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0154296875   minimal norm  13.49548158778649\n",
      "    Found minimum norm =  13.48303267695998  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.019335937500000004   minimal norm  13.48303267695998\n",
      "    Found minimum norm =  13.522390053833083  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  13.522390053833083\n",
      "    Found minimum norm =  13.475554413651642  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.020898437500000002   minimal norm  13.475554413651642\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.455044567883162  for s =  0.06738281250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.06738281250000001   minimal norm  13.455044567883162\n",
      "    Found minimum norm =  13.52001886160599  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.014257812500000001   minimal norm  13.52001886160599\n",
      "    Found minimum norm =  13.519838442573558  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0044921875000000005   minimal norm  13.519838442573558\n",
      "    Found minimum norm =  13.495501448212103  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0146484375   minimal norm  13.495501448212103\n",
      "    Found minimum norm =  13.52215664669468  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0005859375000000001   minimal norm  13.52215664669468\n",
      "    Found minimum norm =  13.520690391345259  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.012304687500000001   minimal norm  13.520690391345259\n",
      "    Found minimum norm =  13.492835580345162  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.016992187500000002   minimal norm  13.492835580345162\n",
      "    Found minimum norm =  13.521214426831307  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.004882812500000001   minimal norm  13.521214426831307\n",
      "    Found minimum norm =  13.485653296177635  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.018945312500000002   minimal norm  13.485653296177635\n",
      "    Found minimum norm =  13.489571357676574  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0166015625   minimal norm  13.489571357676574\n",
      "    Found minimum norm =  13.324893903496928  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.08222656250000002   minimal norm  13.324893903496928\n",
      "    Found minimum norm =  13.522195968334492  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  13.522195968334492\n",
      "    Found minimum norm =  13.49689194435601  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.015039062499999999   minimal norm  13.49689194435601\n",
      "    Found minimum norm =  13.481566178013608  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.019726562500000003   minimal norm  13.481566178013608\n",
      "    Found minimum norm =  13.522337528110164  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  13.522337528110164\n",
      "    Found minimum norm =  13.483032676959981  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.019335937500000004   minimal norm  13.483032676959981\n",
      "    Found minimum norm =  13.482364854049623  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0498046875   minimal norm  13.482364854049623\n",
      "    Found minimum norm =  13.521800141256568  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0072265625   minimal norm  13.521800141256568\n",
      "    Found minimum norm =  13.51989391637934  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0044921875000000005   minimal norm  13.51989391637934\n",
      "    Found minimum norm =  13.477925712647151  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.020507812500000003   minimal norm  13.477925712647151\n",
      "    Found minimum norm =  13.448147642894266  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0716796875   minimal norm  13.448147642894266\n",
      "    Found minimum norm =  13.422155300055206  for s =  0.08652343750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.08652343750000001   minimal norm  13.422155300055206\n",
      "    Found minimum norm =  13.42960750486697  for s =  0.032617187500000006\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.032617187500000006   minimal norm  13.42960750486697\n",
      "    Found minimum norm =  13.520690391345259  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.012304687500000001   minimal norm  13.520690391345259\n",
      "    Found minimum norm =  13.46614537492934  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0271484375   minimal norm  13.46614537492934\n",
      "    Found minimum norm =  13.479089775412021  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.020898437500000002   minimal norm  13.479089775412021\n",
      "    Found minimum norm =  13.522760499429666  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  13.522760499429666\n",
      "    Found minimum norm =  13.492740435878101  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0154296875   minimal norm  13.492740435878101\n",
      "    Found minimum norm =  13.52213263820086  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0013671875000000001   minimal norm  13.52213263820086\n",
      "    Found minimum norm =  13.521800141256568  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0072265625   minimal norm  13.521800141256568\n",
      "    Found minimum norm =  13.490353015757508  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0173828125   minimal norm  13.490353015757508\n",
      "    Found minimum norm =  13.52001886160599  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.014257812500000001   minimal norm  13.52001886160599\n",
      "    Found minimum norm =  13.467644447983446  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.026757812500000002   minimal norm  13.467644447983446\n",
      "    Found minimum norm =  13.478053263401584  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.021679687500000003   minimal norm  13.478053263401584\n",
      "    Found minimum norm =  13.489642183499516  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0498046875   minimal norm  13.489642183499516\n",
      "    Found minimum norm =  13.521916874988959  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0025390625000000005   minimal norm  13.521916874988959\n",
      "    Found minimum norm =  13.484828485628165  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.018945312500000002   minimal norm  13.484828485628165\n",
      "    Found minimum norm =  13.479089775412021  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.020898437500000002   minimal norm  13.479089775412021\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.522185464757664  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  13.522185464757664\n",
      "    Found minimum norm =  13.489571357676574  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0166015625   minimal norm  13.489571357676574\n",
      "    Found minimum norm =  13.521584548763006  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0080078125   minimal norm  13.521584548763006\n",
      "    Found minimum norm =  13.522120618325529  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0013671875000000001   minimal norm  13.522120618325529\n",
      "    Found minimum norm =  13.28917712998646  for s =  0.0451171875\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0451171875   minimal norm  13.28917712998646\n",
      "    Found minimum norm =  13.52018551279842  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0060546875   minimal norm  13.52018551279842\n",
      "    Found minimum norm =  13.4801471169498  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.018945312500000002   minimal norm  13.4801471169498\n",
      "    Found minimum norm =  13.496891944356008  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.015039062499999999   minimal norm  13.496891944356008\n",
      "    Found minimum norm =  13.518188093323735  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.012304687500000001   minimal norm  13.518188093323735\n",
      "    Found minimum norm =  13.495481587786491  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0154296875   minimal norm  13.495481587786491\n",
      "    Found minimum norm =  13.522252228670178  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  13.522252228670178\n",
      "    Found minimum norm =  13.52213263820086  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0013671875000000001   minimal norm  13.52213263820086\n",
      "    Found minimum norm =  13.483773876469265  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.018554687500000003   minimal norm  13.483773876469265\n",
      "    Found minimum norm =  13.493699955202844  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0158203125   minimal norm  13.493699955202844\n",
      "    Found minimum norm =  13.522329559853896  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  13.522329559853896\n",
      "    Found minimum norm =  13.448147642894265  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0716796875   minimal norm  13.448147642894265\n",
      "    Found minimum norm =  13.5139401791591  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0095703125   minimal norm  13.5139401791591\n",
      "    Found minimum norm =  13.52215664669468  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0005859375000000001   minimal norm  13.52215664669468\n",
      "    Found minimum norm =  13.485993522415747  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020898437500000002   minimal norm  13.485993522415747\n",
      "    Found minimum norm =  13.484828485628165  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.018945312500000002   minimal norm  13.484828485628165\n",
      "    Found minimum norm =  13.343395381917187  for s =  0.08886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.08886718750000001   minimal norm  13.343395381917187\n",
      "    Found minimum norm =  13.49681514313831  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0154296875   minimal norm  13.49681514313831\n",
      "    Found minimum norm =  13.522252228670178  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  13.522252228670178\n",
      "    Found minimum norm =  13.482364854049623  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0498046875   minimal norm  13.482364854049623\n",
      "    Found minimum norm =  13.514586929278176  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.009179687500000002   minimal norm  13.514586929278176\n",
      "    Found minimum norm =  13.455044567883164  for s =  0.06738281250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.06738281250000001   minimal norm  13.455044567883164\n",
      "    Found minimum norm =  13.40170273348084  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0427734375   minimal norm  13.40170273348084\n",
      "    Found minimum norm =  13.467644447983444  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.026757812500000002   minimal norm  13.467644447983444\n",
      "    Found minimum norm =  13.522544715078853  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  13.522544715078853\n",
      "    Found minimum norm =  13.52172908456725  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.004882812500000001   minimal norm  13.52172908456725\n",
      "    Found minimum norm =  13.485993522415747  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020898437500000002   minimal norm  13.485993522415747\n",
      "    Found minimum norm =  13.46614537492934  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0271484375   minimal norm  13.46614537492934\n",
      "    Found minimum norm =  13.383392440174523  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0998046875   minimal norm  13.383392440174523\n",
      "    Found minimum norm =  13.485653296177635  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.018945312500000002   minimal norm  13.485653296177635\n",
      "    Found minimum norm =  13.488179049686407  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.07949218750000002   minimal norm  13.488179049686407\n",
      "    Found minimum norm =  13.521584548763006  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0080078125   minimal norm  13.521584548763006\n",
      "    Found minimum norm =  13.35863808484029  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.040039062500000014   minimal norm  13.35863808484029\n",
      "    Found minimum norm =  13.484996109888806  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0166015625   minimal norm  13.484996109888806\n",
      "    Found minimum norm =  13.518188093323735  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.012304687500000001   minimal norm  13.518188093323735\n",
      "    Found minimum norm =  13.522337528110166  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  13.522337528110166\n",
      "    Found minimum norm =  13.489406873327004  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.016992187500000002   minimal norm  13.489406873327004\n",
      "    Found minimum norm =  13.522390053833083  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.522390053833083\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.514586929278176  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.009179687500000002   minimal norm  13.514586929278176\n",
      "    Found minimum norm =  13.490353015757508  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0173828125   minimal norm  13.490353015757508\n",
      "    Found minimum norm =  13.422276620836238  for s =  0.07675781250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07675781250000001   minimal norm  13.422276620836238\n",
      "    Found minimum norm =  13.522254203760058  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  13.522254203760058\n",
      "    Found minimum norm =  13.513940179159096  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0095703125   minimal norm  13.513940179159096\n",
      "    Found minimum norm =  13.42960750486697  for s =  0.032617187500000006\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.032617187500000006   minimal norm  13.42960750486697\n",
      "    Found minimum norm =  13.522550374727489  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  13.522550374727489\n",
      "    Found minimum norm =  13.492835580345162  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.016992187500000002   minimal norm  13.492835580345162\n",
      "    Found minimum norm =  13.383392440174521  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0998046875   minimal norm  13.383392440174521\n",
      "    Found minimum norm =  13.522185464757667  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  13.522185464757667\n",
      "    Found minimum norm =  13.307273375289684  for s =  0.0451171875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0451171875   minimal norm  13.307273375289684\n",
      "    Found minimum norm =  13.520974295017394  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0052734375   minimal norm  13.520974295017394\n",
      "    Found minimum norm =  13.483773876469265  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.018554687500000003   minimal norm  13.483773876469265\n",
      "    Found minimum norm =  13.51989391637934  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0044921875000000005   minimal norm  13.51989391637934\n",
      "    Found minimum norm =  13.422276620836238  for s =  0.07675781250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07675781250000001   minimal norm  13.422276620836238\n",
      "    Found minimum norm =  13.519838442573558  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0044921875000000005   minimal norm  13.519838442573558\n",
      "    Found minimum norm =  13.522544715078853  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  13.522544715078853\n",
      "    Found minimum norm =  13.489642183499516  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0498046875   minimal norm  13.489642183499516\n",
      "    Found minimum norm =  13.310899957671998  for s =  0.04472656250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.04472656250000001   minimal norm  13.310899957671998\n",
      "    Found minimum norm =  13.499953031719938  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0134765625   minimal norm  13.499953031719938\n",
      "    Found minimum norm =  13.343395381917187  for s =  0.08886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.08886718750000001   minimal norm  13.343395381917187\n",
      "    Found minimum norm =  13.522760499429667  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  13.522760499429667\n",
      "    Found minimum norm =  13.307273375289684  for s =  0.0451171875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0451171875   minimal norm  13.307273375289684\n",
      "    Found minimum norm =  13.324893903496925  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.08222656250000002   minimal norm  13.324893903496925\n",
      "    Found minimum norm =  13.35863808484029  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.040039062500000014   minimal norm  13.35863808484029\n",
      "    Found minimum norm =  13.28917712998646  for s =  0.0451171875\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0451171875   minimal norm  13.28917712998646\n",
      "    Found minimum norm =  13.522167201296423  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  13.522167201296423\n",
      "    Found minimum norm =  13.287029166842682  for s =  0.0041015625\n",
      "Found that canonical is better because  13.287029166842682 13.28917712998646\n",
      "    Found minimum norm =  13.287029166842682  for s =  0.0041015625\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  11\n",
      "    Found minimum norm =  13.235413600374372  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0158203125   minimal norm  13.235413600374372\n",
      "    Found minimum norm =  13.28547969952149  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.005664062500000001   minimal norm  13.28547969952149\n",
      "    Found minimum norm =  13.28707061896101  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  13.28707061896101\n",
      "    Found minimum norm =  13.223134685407086  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0181640625   minimal norm  13.223134685407086\n",
      "    Found minimum norm =  13.287037504433652  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.287037504433652\n",
      "    Found minimum norm =  13.235208429283706  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0173828125   minimal norm  13.235208429283706\n",
      "    Found minimum norm =  13.2307659188758  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0173828125   minimal norm  13.2307659188758\n",
      "    Found minimum norm =  13.285823355988036  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.005664062500000001   minimal norm  13.285823355988036\n",
      "    Found minimum norm =  13.286601999322185  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0029296875   minimal norm  13.286601999322185\n",
      "    Found minimum norm =  13.230568571249028  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0181640625   minimal norm  13.230568571249028\n",
      "    Found minimum norm =  13.214056255133737  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0212890625   minimal norm  13.214056255133737\n",
      "    Found minimum norm =  13.28711356715362  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  13.28711356715362\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.233761009665155  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.016992187500000002   minimal norm  13.233761009665155\n",
      "    Found minimum norm =  13.286786589154088  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0037109375   minimal norm  13.286786589154088\n",
      "    Found minimum norm =  13.286892992861171  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0021484375   minimal norm  13.286892992861171\n",
      "    Found minimum norm =  13.2427032197314  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0154296875   minimal norm  13.2427032197314\n",
      "    Found minimum norm =  13.287037504433652  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  13.287037504433652\n",
      "    Found minimum norm =  13.232520115813307  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.017773437500000003   minimal norm  13.232520115813307\n",
      "    Found minimum norm =  13.219954417683219  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.020117187500000005   minimal norm  13.219954417683219\n",
      "    Found minimum norm =  13.287232198350885  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  13.287232198350885\n",
      "    Found minimum norm =  13.21158941143257  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0212890625   minimal norm  13.21158941143257\n",
      "    Found minimum norm =  13.207140965635976  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.07402343750000001   minimal norm  13.207140965635976\n",
      "    Found minimum norm =  13.285180315115607  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.015039062499999999   minimal norm  13.285180315115607\n",
      "    Found minimum norm =  13.26637325820249  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.011132812500000002   minimal norm  13.26637325820249\n",
      "    Found minimum norm =  13.233761009665153  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.016992187500000002   minimal norm  13.233761009665153\n",
      "    Found minimum norm =  13.2870375488287  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  13.2870375488287\n",
      "    Found minimum norm =  13.285852912547371  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0134765625   minimal norm  13.285852912547371\n",
      "    Found minimum norm =  13.230146857272333  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.018554687500000003   minimal norm  13.230146857272333\n",
      "    Found minimum norm =  13.286345584694118  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0044921875000000005   minimal norm  13.286345584694118\n",
      "    Found minimum norm =  13.222201227624694  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.020117187500000005   minimal norm  13.222201227624694\n",
      "    Found minimum norm =  13.226998884597545  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.018554687500000003   minimal norm  13.226998884597545\n",
      "    Found minimum norm =  13.115037732902739  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.08144531250000002   minimal norm  13.115037732902739\n",
      "    Found minimum norm =  13.28707061896101  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  13.28707061896101\n",
      "    Found minimum norm =  13.23580082654585  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0173828125   minimal norm  13.23580082654585\n",
      "    Found minimum norm =  13.218197565926179  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020507812500000003   minimal norm  13.218197565926179\n",
      "    Found minimum norm =  13.287198706971507  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  13.287198706971507\n",
      "    Found minimum norm =  13.219954417683219  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.020117187500000005   minimal norm  13.219954417683219\n",
      "    Found minimum norm =  13.233366012222325  for s =  0.07089843750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.07089843750000001   minimal norm  13.233366012222325\n",
      "    Found minimum norm =  13.286822711732647  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0068359375   minimal norm  13.286822711732647\n",
      "    Found minimum norm =  13.267421127050056  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0107421875   minimal norm  13.267421127050056\n",
      "    Found minimum norm =  13.214056255133736  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0212890625   minimal norm  13.214056255133736\n",
      "    Found minimum norm =  13.198777886009209  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.07792968750000001   minimal norm  13.198777886009209\n",
      "    Found minimum norm =  13.173465296346865  for s =  0.09160156250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.09160156250000001   minimal norm  13.173465296346865\n",
      "    Found minimum norm =  13.167426147440324  for s =  0.028710937500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.028710937500000002   minimal norm  13.167426147440324\n",
      "    Found minimum norm =  13.28585291254737  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0134765625   minimal norm  13.28585291254737\n",
      "    Found minimum norm =  13.204244335494252  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.024804687500000002   minimal norm  13.204244335494252\n",
      "    Found minimum norm =  13.215820135851263  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0212890625   minimal norm  13.215820135851263\n",
      "    Found minimum norm =  13.287641603973197  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  13.287641603973197\n",
      "    Found minimum norm =  13.2307659188758  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0173828125   minimal norm  13.2307659188758\n",
      "    Found minimum norm =  13.287024667243548  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0005859375000000001   minimal norm  13.287024667243548\n",
      "    Found minimum norm =  13.286822711732647  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0068359375   minimal norm  13.286822711732647\n",
      "    Found minimum norm =  13.227577090587726  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.018945312500000002   minimal norm  13.227577090587726\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.285180315115605  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.015039062499999999   minimal norm  13.285180315115605\n",
      "    Found minimum norm =  13.20579832133238  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0244140625   minimal norm  13.20579832133238\n",
      "    Found minimum norm =  13.214982245173019  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.021679687500000003   minimal norm  13.214982245173019\n",
      "    Found minimum norm =  13.24932693943071  for s =  0.061914062500000006\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.061914062500000006   minimal norm  13.24932693943071\n",
      "    Found minimum norm =  13.286892992861173  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0021484375   minimal norm  13.286892992861173\n",
      "    Found minimum norm =  13.221823304903008  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.019726562500000003   minimal norm  13.221823304903008\n",
      "    Found minimum norm =  13.215820135851263  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0212890625   minimal norm  13.215820135851263\n",
      "    Found minimum norm =  13.287054754766912  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  13.287054754766912\n",
      "    Found minimum norm =  13.226998884597545  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.018554687500000003   minimal norm  13.226998884597545\n",
      "    Found minimum norm =  13.286643965413557  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0076171875   minimal norm  13.286643965413557\n",
      "    Found minimum norm =  13.287021376280453  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0005859375000000001   minimal norm  13.287021376280453\n",
      "    Found minimum norm =  13.061150207526389  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0361328125   minimal norm  13.061150207526389\n",
      "    Found minimum norm =  13.28547969952149  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.005664062500000001   minimal norm  13.28547969952149\n",
      "    Found minimum norm =  13.217528588475156  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.019726562500000003   minimal norm  13.217528588475156\n",
      "    Found minimum norm =  13.23580082654585  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0173828125   minimal norm  13.23580082654585\n",
      "    Found minimum norm =  13.282701575920907  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0134765625   minimal norm  13.282701575920907\n",
      "    Found minimum norm =  13.232520115813308  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.017773437500000003   minimal norm  13.232520115813308\n",
      "    Found minimum norm =  13.28711485092552  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  13.28711485092552\n",
      "    Found minimum norm =  13.28702466724355  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0005859375000000001   minimal norm  13.28702466724355\n",
      "    Found minimum norm =  13.223037302812193  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.019335937500000004   minimal norm  13.223037302812193\n",
      "    Found minimum norm =  13.230568571249027  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0181640625   minimal norm  13.230568571249027\n",
      "    Found minimum norm =  13.28717936213204  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  13.28717936213204\n",
      "    Found minimum norm =  13.198777886009209  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.07792968750000001   minimal norm  13.198777886009209\n",
      "    Found minimum norm =  13.255019982479036  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0146484375   minimal norm  13.255019982479036\n",
      "    Found minimum norm =  13.287037548828701  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  13.287037548828701\n",
      "    Found minimum norm =  13.222744306224417  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020898437500000002   minimal norm  13.222744306224417\n",
      "    Found minimum norm =  13.221823304903008  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.019726562500000003   minimal norm  13.221823304903008\n",
      "    Found minimum norm =  13.121017483091052  for s =  0.09042968750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.09042968750000001   minimal norm  13.121017483091052\n",
      "    Found minimum norm =  13.235208429283709  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0173828125   minimal norm  13.235208429283709\n",
      "    Found minimum norm =  13.287114850925521  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  13.287114850925521\n",
      "    Found minimum norm =  13.233366012222325  for s =  0.07089843750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.07089843750000001   minimal norm  13.233366012222325\n",
      "    Found minimum norm =  13.255822918490576  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0146484375   minimal norm  13.255822918490576\n",
      "    Found minimum norm =  13.207140965635976  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.07402343750000001   minimal norm  13.207140965635976\n",
      "    Found minimum norm =  13.151001067004678  for s =  0.0333984375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0333984375   minimal norm  13.151001067004678\n",
      "    Found minimum norm =  13.20579832133238  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0244140625   minimal norm  13.20579832133238\n",
      "    Found minimum norm =  13.287396499642695  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  13.287396499642695\n",
      "    Found minimum norm =  13.286786589154088  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0037109375   minimal norm  13.286786589154088\n",
      "    Found minimum norm =  13.222744306224417  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020898437500000002   minimal norm  13.222744306224417\n",
      "    Found minimum norm =  13.204244335494256  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.024804687500000002   minimal norm  13.204244335494256\n",
      "    Found minimum norm =  13.131993121025983  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0998046875   minimal norm  13.131993121025983\n",
      "    Found minimum norm =  13.222201227624694  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.020117187500000005   minimal norm  13.222201227624694\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.241844148404919  for s =  0.08886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.08886718750000001   minimal norm  13.241844148404919\n",
      "    Found minimum norm =  13.286643965413557  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0076171875   minimal norm  13.286643965413557\n",
      "    Found minimum norm =  13.118767613273743  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0322265625   minimal norm  13.118767613273743\n",
      "    Found minimum norm =  13.223134685407086  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0181640625   minimal norm  13.223134685407086\n",
      "    Found minimum norm =  13.282701575920909  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0134765625   minimal norm  13.282701575920909\n",
      "    Found minimum norm =  13.287198706971505  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  13.287198706971505\n",
      "    Found minimum norm =  13.229689274990768  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0181640625   minimal norm  13.229689274990768\n",
      "    Found minimum norm =  13.287232198350885  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.287232198350885\n",
      "    Found minimum norm =  13.255822918490578  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0146484375   minimal norm  13.255822918490578\n",
      "    Found minimum norm =  13.227577090587728  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.018945312500000002   minimal norm  13.227577090587728\n",
      "    Found minimum norm =  13.204128464002538  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07480468750000001   minimal norm  13.204128464002538\n",
      "    Found minimum norm =  13.287113567153618  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  13.287113567153618\n",
      "    Found minimum norm =  13.255019982479034  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0146484375   minimal norm  13.255019982479034\n",
      "    Found minimum norm =  13.167426147440322  for s =  0.028710937500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.028710937500000002   minimal norm  13.167426147440322\n",
      "    Found minimum norm =  13.287400901593724  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  13.287400901593724\n",
      "    Found minimum norm =  13.230146857272334  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.018554687500000003   minimal norm  13.230146857272334\n",
      "    Found minimum norm =  13.13199312102598  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0998046875   minimal norm  13.13199312102598\n",
      "    Found minimum norm =  13.287054754766912  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  13.287054754766912\n",
      "    Found minimum norm =  13.076093460776475  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.03574218750000001   minimal norm  13.076093460776475\n",
      "    Found minimum norm =  13.285823355988034  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.005664062500000001   minimal norm  13.285823355988034\n",
      "    Found minimum norm =  13.223037302812193  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.019335937500000004   minimal norm  13.223037302812193\n",
      "    Found minimum norm =  13.267421127050056  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0107421875   minimal norm  13.267421127050056\n",
      "    Found minimum norm =  13.204128464002538  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07480468750000001   minimal norm  13.204128464002538\n",
      "    Found minimum norm =  13.266373258202492  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.011132812500000002   minimal norm  13.266373258202492\n",
      "    Found minimum norm =  13.287396499642696  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  13.287396499642696\n",
      "    Found minimum norm =  13.249326939430707  for s =  0.061914062500000006\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.061914062500000006   minimal norm  13.249326939430707\n",
      "    Found minimum norm =  13.079307138382148  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0353515625   minimal norm  13.079307138382148\n",
      "    Found minimum norm =  13.242703219731398  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0154296875   minimal norm  13.242703219731398\n",
      "    Found minimum norm =  13.12101748309105  for s =  0.09042968750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.09042968750000001   minimal norm  13.12101748309105\n",
      "    Found minimum norm =  13.2876416039732  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  13.2876416039732\n",
      "    Found minimum norm =  13.076093460776475  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.03574218750000001   minimal norm  13.076093460776475\n",
      "    Found minimum norm =  13.115037732902737  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.08144531250000002   minimal norm  13.115037732902737\n",
      "    Found minimum norm =  13.118767613273743  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0322265625   minimal norm  13.118767613273743\n",
      "    Found minimum norm =  13.06115020752639  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0361328125   minimal norm  13.06115020752639\n",
      "    Found minimum norm =  13.287029166842682  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  13.287029166842682\n",
      "    Found minimum norm =  13.06781752904899  for s =  0.0033203125000000003\n",
      "Found that canonical is worse because  13.06781752904899 13.061150207526389\n",
      "    Found minimum norm =  13.061150207526389  for s =  0.0361328125\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n",
      "Flow step  12\n",
      "    Found minimum norm =  13.038702178383835  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.013085937500000002   minimal norm  13.038702178383835\n",
      "    Found minimum norm =  13.060293412753273  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0044921875000000005   minimal norm  13.060293412753273\n",
      "    Found minimum norm =  13.061211393314068  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  13.061211393314068\n",
      "    Found minimum norm =  13.030604866330066  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0162109375   minimal norm  13.030604866330066\n",
      "    Found minimum norm =  13.061191233550423  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.061191233550423\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.040856358009322  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0146484375   minimal norm  13.040856358009322\n",
      "    Found minimum norm =  13.036476175401987  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.015039062499999999   minimal norm  13.036476175401987\n",
      "    Found minimum norm =  13.060696046144447  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0037109375   minimal norm  13.060696046144447\n",
      "    Found minimum norm =  13.061073401815804  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0013671875000000001   minimal norm  13.061073401815804\n",
      "    Found minimum norm =  13.036437271705218  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0162109375   minimal norm  13.036437271705218\n",
      "    Found minimum norm =  13.020833215227535  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.021679687500000003   minimal norm  13.020833215227535\n",
      "    Found minimum norm =  13.061266600303787  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  13.061266600303787\n",
      "    Found minimum norm =  13.038225598302114  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0146484375   minimal norm  13.038225598302114\n",
      "    Found minimum norm =  13.061155569157973  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  13.061155569157973\n",
      "    Found minimum norm =  13.061131843864798  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0009765625   minimal norm  13.061131843864798\n",
      "    Found minimum norm =  13.049994019939618  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.010351562500000001   minimal norm  13.049994019939618\n",
      "    Found minimum norm =  13.061187673617427  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  13.061187673617427\n",
      "    Found minimum norm =  13.03713963223698  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0158203125   minimal norm  13.03713963223698\n",
      "    Found minimum norm =  13.026959459926653  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.019726562500000003   minimal norm  13.026959459926653\n",
      "    Found minimum norm =  13.061348778502397  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  13.061348778502397\n",
      "    Found minimum norm =  13.01744180975648  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0220703125   minimal norm  13.01744180975648\n",
      "    Found minimum norm =  12.947939860931903  for s =  0.0873046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0873046875   minimal norm  12.947939860931903\n",
      "    Found minimum norm =  13.05910351668447  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0232421875   minimal norm  13.05910351668447\n",
      "    Found minimum norm =  13.06075357368843  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0021484375   minimal norm  13.06075357368843\n",
      "    Found minimum norm =  13.038184222965802  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0146484375   minimal norm  13.038184222965802\n",
      "    Found minimum norm =  13.061189558905161  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  13.061189558905161\n",
      "    Found minimum norm =  13.059962395803552  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.022460937500000003   minimal norm  13.059962395803552\n",
      "    Found minimum norm =  13.036720799805488  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.016992187500000002   minimal norm  13.036720799805488\n",
      "    Found minimum norm =  13.06096584651048  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0025390625000000005   minimal norm  13.06096584651048\n",
      "    Found minimum norm =  13.028229105105986  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.020117187500000005   minimal norm  13.028229105105986\n",
      "    Found minimum norm =  13.03302776368432  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.016992187500000002   minimal norm  13.03302776368432\n",
      "    Found minimum norm =  12.930552408827756  for s =  0.0841796875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0841796875   minimal norm  12.930552408827756\n",
      "    Found minimum norm =  13.061211258307386  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  13.061211258307386\n",
      "    Found minimum norm =  13.042054212523778  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.014257812500000001   minimal norm  13.042054212523778\n",
      "    Found minimum norm =  13.026161561767491  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.020117187500000005   minimal norm  13.026161561767491\n",
      "    Found minimum norm =  13.06131697759014  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  13.06131697759014\n",
      "    Found minimum norm =  13.027222587184697  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.019726562500000003   minimal norm  13.027222587184697\n",
      "    Found minimum norm =  12.989578231418605  for s =  0.08105468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.08105468750000001   minimal norm  12.989578231418605\n",
      "    Found minimum norm =  13.06076912016426  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.012304687500000001   minimal norm  13.06076912016426\n",
      "    Found minimum norm =  13.060566122824895  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0025390625000000005   minimal norm  13.060566122824895\n",
      "    Found minimum norm =  13.020924325510363  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.021679687500000003   minimal norm  13.020924325510363\n",
      "    Found minimum norm =  12.944664491405733  for s =  0.08847656250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.08847656250000001   minimal norm  12.944664491405733\n",
      "    Found minimum norm =  12.926316675389257  for s =  0.09863281250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.09863281250000001   minimal norm  12.926316675389257\n",
      "    Found minimum norm =  12.959511098845724  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0380859375   minimal norm  12.959511098845724\n",
      "    Found minimum norm =  13.060126911139443  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.019335937500000004   minimal norm  13.060126911139443\n",
      "    Found minimum norm =  13.008222517771202  for s =  0.0302734375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0302734375   minimal norm  13.008222517771202\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.02372416870546  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0220703125   minimal norm  13.02372416870546\n",
      "    Found minimum norm =  13.06181067380476  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  13.06181067380476\n",
      "    Found minimum norm =  13.036603540417849  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.015039062499999999   minimal norm  13.036603540417849\n",
      "    Found minimum norm =  13.06116093147174  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0001953125   minimal norm  13.06116093147174\n",
      "    Found minimum norm =  13.060931277192921  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0080078125   minimal norm  13.060931277192921\n",
      "    Found minimum norm =  13.035341226960542  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0173828125   minimal norm  13.035341226960542\n",
      "    Found minimum norm =  13.060061609345846  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0146484375   minimal norm  13.060061609345846\n",
      "    Found minimum norm =  13.012652529267168  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0283203125   minimal norm  13.012652529267168\n",
      "    Found minimum norm =  13.023523626172398  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.022460937500000003   minimal norm  13.023523626172398\n",
      "    Found minimum norm =  13.006629108558997  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.07792968750000001   minimal norm  13.006629108558997\n",
      "    Found minimum norm =  13.061128169362942  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0009765625   minimal norm  13.061128169362942\n",
      "    Found minimum norm =  13.029322500361314  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.019335937500000004   minimal norm  13.029322500361314\n",
      "    Found minimum norm =  13.024316716795614  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.021679687500000003   minimal norm  13.024316716795614\n",
      "    Found minimum norm =  13.061176087912516  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  13.061176087912516\n",
      "    Found minimum norm =  13.033264879849948  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0166015625   minimal norm  13.033264879849948\n",
      "    Found minimum norm =  13.06102897269047  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0072265625   minimal norm  13.06102897269047\n",
      "    Found minimum norm =  13.06114237862224  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0005859375000000001   minimal norm  13.06114237862224\n",
      "    Found minimum norm =  12.925480332997548  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.03886718750000001   minimal norm  12.925480332997548\n",
      "    Found minimum norm =  13.060358120903176  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0041015625   minimal norm  13.060358120903176\n",
      "    Found minimum norm =  13.024862889201135  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.018554687500000003   minimal norm  13.024862889201135\n",
      "    Found minimum norm =  13.04256619016915  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0138671875   minimal norm  13.04256619016915\n",
      "    Found minimum norm =  13.057608091015538  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0119140625   minimal norm  13.057608091015538\n",
      "    Found minimum norm =  13.038913158690928  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0146484375   minimal norm  13.038913158690928\n",
      "    Found minimum norm =  13.061272339128735  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  13.061272339128735\n",
      "    Found minimum norm =  13.061168417552643  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0001953125   minimal norm  13.061168417552643\n",
      "    Found minimum norm =  13.031342319171985  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0173828125   minimal norm  13.031342319171985\n",
      "    Found minimum norm =  13.037394464658055  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0154296875   minimal norm  13.037394464658055\n",
      "    Found minimum norm =  13.061346212984096  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  13.061346212984096\n",
      "    Found minimum norm =  12.977379941930039  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.07480468750000001   minimal norm  12.977379941930039\n",
      "    Found minimum norm =  13.057522681859677  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0068359375   minimal norm  13.057522681859677\n",
      "    Found minimum norm =  13.061195714154415  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  13.061195714154415\n",
      "    Found minimum norm =  13.031439051004638  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.020117187500000005   minimal norm  13.031439051004638\n",
      "    Found minimum norm =  13.030468530132174  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0181640625   minimal norm  13.030468530132174\n",
      "    Found minimum norm =  12.900041717587717  for s =  0.08886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.08886718750000001   minimal norm  12.900041717587717\n",
      "    Found minimum norm =  13.04131779590454  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.014257812500000001   minimal norm  13.04131779590454\n",
      "    Found minimum norm =  13.061267349376353  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  13.061267349376353\n",
      "    Found minimum norm =  13.016202848870218  for s =  0.0685546875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0685546875   minimal norm  13.016202848870218\n",
      "    Found minimum norm =  13.057215925678314  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0072265625   minimal norm  13.057215925678314\n",
      "    Found minimum norm =  12.986113227844738  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.07480468750000001   minimal norm  12.986113227844738\n",
      "    Found minimum norm =  12.93838419596783  for s =  0.046289062500000006\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.046289062500000006   minimal norm  12.93838419596783\n",
      "    Found minimum norm =  13.014446826145436  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0271484375   minimal norm  13.014446826145436\n",
      "    Found minimum norm =  13.061522625898073  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  13.061522625898073\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.06116130392003  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  13.06116130392003\n",
      "    Found minimum norm =  13.031270835260651  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020117187500000005   minimal norm  13.031270835260651\n",
      "    Found minimum norm =  13.012327718881645  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0279296875   minimal norm  13.012327718881645\n",
      "    Found minimum norm =  12.9128889355135  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0998046875   minimal norm  12.9128889355135\n",
      "    Found minimum norm =  13.030181583051762  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.018554687500000003   minimal norm  13.030181583051762\n",
      "    Found minimum norm =  13.019076990849344  for s =  0.0919921875\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0919921875   minimal norm  13.019076990849344\n",
      "    Found minimum norm =  13.061150608572184  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  13.061150608572184\n",
      "    Found minimum norm =  12.897724895971876  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0431640625   minimal norm  12.897724895971876\n",
      "    Found minimum norm =  13.030347278774954  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0162109375   minimal norm  13.030347278774954\n",
      "    Found minimum norm =  13.057802222360872  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.012304687500000001   minimal norm  13.057802222360872\n",
      "    Found minimum norm =  13.061326325324437  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  13.061326325324437\n",
      "    Found minimum norm =  13.038260279131347  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0154296875   minimal norm  13.038260279131347\n",
      "    Found minimum norm =  13.061374713109368  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.061374713109368\n",
      "    Found minimum norm =  13.057202366302462  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0072265625   minimal norm  13.057202366302462\n",
      "    Found minimum norm =  13.035952056956257  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0166015625   minimal norm  13.035952056956257\n",
      "    Found minimum norm =  12.987420619836964  for s =  0.07089843750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07089843750000001   minimal norm  12.987420619836964\n",
      "    Found minimum norm =  13.061253767337504  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  13.061253767337504\n",
      "    Found minimum norm =  13.0566590698743  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0076171875   minimal norm  13.0566590698743\n",
      "    Found minimum norm =  12.967393599609181  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0361328125   minimal norm  12.967393599609181\n",
      "    Found minimum norm =  13.061522987652348  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  13.061522987652348\n",
      "    Found minimum norm =  13.037540969406392  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0162109375   minimal norm  13.037540969406392\n",
      "    Found minimum norm =  12.895236170433062  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0998046875   minimal norm  12.895236170433062\n",
      "    Found minimum norm =  13.061180047220773  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  13.061180047220773\n",
      "    Found minimum norm =  12.847161574083987  for s =  0.04941406250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.04941406250000001   minimal norm  12.847161574083987\n",
      "    Found minimum norm =  13.060423301559409  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0044921875000000005   minimal norm  13.060423301559409\n",
      "    Found minimum norm =  13.031211901376157  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0173828125   minimal norm  13.031211901376157\n",
      "    Found minimum norm =  13.060892720572422  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0017578125   minimal norm  13.060892720572422\n",
      "    Found minimum norm =  12.980316113292636  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07402343750000001   minimal norm  12.980316113292636\n",
      "    Found minimum norm =  13.060538900928503  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0025390625000000005   minimal norm  13.060538900928503\n",
      "    Found minimum norm =  13.061538500360017  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  13.061538500360017\n",
      "    Found minimum norm =  13.021960887735256  for s =  0.0634765625\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0634765625   minimal norm  13.021960887735256\n",
      "    Found minimum norm =  12.853076263959242  for s =  0.0486328125\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0486328125   minimal norm  12.853076263959242\n",
      "    Found minimum norm =  13.046904487455985  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0115234375   minimal norm  13.046904487455985\n",
      "    Found minimum norm =  12.8840771293997  for s =  0.0955078125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0955078125   minimal norm  12.8840771293997\n",
      "    Found minimum norm =  13.06177701916867  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  13.06177701916867\n",
      "    Found minimum norm =  12.850695496984942  for s =  0.0490234375\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0490234375   minimal norm  12.850695496984942\n",
      "    Found minimum norm =  12.87788447214716  for s =  0.08691406250000001\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.08691406250000001   minimal norm  12.87788447214716\n",
      "    Found minimum norm =  12.907315161166705  for s =  0.042382812500000006\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.042382812500000006   minimal norm  12.907315161166705\n",
      "    Found minimum norm =  12.835732149760187  for s =  0.048242187500000006\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.048242187500000006   minimal norm  12.835732149760187\n",
      "    Found minimum norm =  13.061150207526389  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  13.061150207526389\n",
      "    Found minimum norm =  11.669219124729588  for s =  0.09824218750000001\n",
      "Found that canonical is better because  11.669219124729588 12.835732149760187\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.669219124729588  for s =  0.09824218750000001\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  13\n",
      "    Found minimum norm =  11.694418218759697  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  11.694418218759697\n",
      "    Found minimum norm =  11.033965018445475  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0162109375   minimal norm  11.033965018445475\n",
      "    Found minimum norm =  11.36939193918948  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.013085937500000002   minimal norm  11.36939193918948\n",
      "    Found minimum norm =  11.68366454204222  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  11.68366454204222\n",
      "    Found minimum norm =  10.98159315756623  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0162109375   minimal norm  10.98159315756623\n",
      "    Found minimum norm =  11.691097092543808  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  11.691097092543808\n",
      "    Found minimum norm =  11.685640295464891  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  11.685640295464891\n",
      "    Found minimum norm =  11.430174486944402  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.013085937500000002   minimal norm  11.430174486944402\n",
      "    Found minimum norm =  10.96567631157833  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0162109375   minimal norm  10.96567631157833\n",
      "    Found minimum norm =  11.691525319667818  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  11.691525319667818\n",
      "    Found minimum norm =  11.686009570634901  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  11.686009570634901\n",
      "    Found minimum norm =  11.447307577116955  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.012304687500000001   minimal norm  11.447307577116955\n",
      "    Found minimum norm =  11.693451800689648  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  11.693451800689648\n",
      "    Found minimum norm =  11.035237757729217  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0166015625   minimal norm  11.035237757729217\n",
      "    Found minimum norm =  11.377510331306889  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0134765625   minimal norm  11.377510331306889\n",
      "    Found minimum norm =  11.68221596810633  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  11.68221596810633\n",
      "    Found minimum norm =  10.979935326220563  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0162109375   minimal norm  10.979935326220563\n",
      "    Found minimum norm =  11.691028830115428  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  11.691028830115428\n",
      "    Found minimum norm =  11.685730772951619  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  11.685730772951619\n",
      "    Found minimum norm =  11.445123303256585  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0126953125   minimal norm  11.445123303256585\n",
      "    Found minimum norm =  11.69298789116877  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  11.69298789116877\n",
      "    Found minimum norm =  11.045729987434026  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.016992187500000002   minimal norm  11.045729987434026\n",
      "    Found minimum norm =  11.39062049503597  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0134765625   minimal norm  11.39062049503597\n",
      "    Found minimum norm =  11.682157841271431  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  11.682157841271431\n",
      "    Found minimum norm =  11.69351480973117  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  11.69351480973117\n",
      "    Found minimum norm =  11.042410235916181  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0166015625   minimal norm  11.042410235916181\n",
      "    Found minimum norm =  11.366432088794225  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0138671875   minimal norm  11.366432088794225\n",
      "    Found minimum norm =  11.682605624761829  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  11.682605624761829\n",
      "    Found minimum norm =  10.974102057699374  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0166015625   minimal norm  10.974102057699374\n",
      "    Found minimum norm =  11.689892582463221  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  11.689892582463221\n",
      "    Found minimum norm =  11.684538537247441  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  11.684538537247441\n",
      "    Found minimum norm =  11.45059125939454  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.013085937500000002   minimal norm  11.45059125939454\n",
      "    Found minimum norm =  11.310364830934779  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0134765625   minimal norm  11.310364830934779\n",
      "    Found minimum norm =  11.684929565510908  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  11.684929565510908\n",
      "    Found minimum norm =  11.679230464318849  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  11.679230464318849\n",
      "    Found minimum norm =  11.667458137998363  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0017578125   minimal norm  11.667458137998363\n",
      "    Found minimum norm =  11.686801503138977  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  11.686801503138977\n",
      "    Found minimum norm =  11.3880297491494  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0138671875   minimal norm  11.3880297491494\n",
      "    Found minimum norm =  11.638725440115335  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0060546875   minimal norm  11.638725440115335\n",
      "    Found minimum norm =  11.675871363591904  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  11.675871363591904\n",
      "    Found minimum norm =  11.687136957606649  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  11.687136957606649\n",
      "    Found minimum norm =  11.357119706299653  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.014257812500000001   minimal norm  11.357119706299653\n",
      "    Found minimum norm =  11.631670690478128  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0064453125000000005   minimal norm  11.631670690478128\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.675917012187291  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  11.675917012187291\n",
      "    Found minimum norm =  11.309207955063064  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.014257812500000001   minimal norm  11.309207955063064\n",
      "    Found minimum norm =  11.683577087340026  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  11.683577087340026\n",
      "    Found minimum norm =  11.678116638354778  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  11.678116638354778\n",
      "    Found minimum norm =  11.669339408002555  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  11.669339408002555\n",
      "    Found minimum norm =  11.686838311323621  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  11.686838311323621\n",
      "    Found minimum norm =  11.389034587076821  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0134765625   minimal norm  11.389034587076821\n",
      "    Found minimum norm =  11.63718814133985  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0060546875   minimal norm  11.63718814133985\n",
      "    Found minimum norm =  11.675731420842444  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  11.675731420842444\n",
      "    Found minimum norm =  11.331440129663116  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0138671875   minimal norm  11.331440129663116\n",
      "    Found minimum norm =  11.683164052513721  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  11.683164052513721\n",
      "    Found minimum norm =  11.677767517486714  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  11.677767517486714\n",
      "    Found minimum norm =  11.669385958370032  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0001953125   minimal norm  11.669385958370032\n",
      "    Found minimum norm =  11.316385982202686  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0138671875   minimal norm  11.316385982202686\n",
      "    Found minimum norm =  11.683636100520982  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  11.683636100520982\n",
      "    Found minimum norm =  11.678183902008486  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  11.678183902008486\n",
      "    Found minimum norm =  11.669004486520276  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0005859375000000001   minimal norm  11.669004486520276\n",
      "    Found minimum norm =  11.685658751168972  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  11.685658751168972\n",
      "    Found minimum norm =  11.400224089496515  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0138671875   minimal norm  11.400224089496515\n",
      "    Found minimum norm =  11.650143706439751  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.004882812500000001   minimal norm  11.650143706439751\n",
      "    Found minimum norm =  11.67423882759813  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0001953125   minimal norm  11.67423882759813\n",
      "    Found minimum norm =  10.771255041893024  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.019335937500000004   minimal norm  10.771255041893024\n",
      "    Found minimum norm =  11.686918145171637  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  11.686918145171637\n",
      "    Found minimum norm =  11.68186509244754  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  11.68186509244754\n",
      "    Found minimum norm =  11.261967666507305  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.019726562500000003   minimal norm  11.261967666507305\n",
      "    Found minimum norm =  11.68916334131693  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  11.68916334131693\n",
      "    Found minimum norm =  10.856942615224693  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.020507812500000003   minimal norm  10.856942615224693\n",
      "    Found minimum norm =  11.228216619448208  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.018554687500000003   minimal norm  11.228216619448208\n",
      "    Found minimum norm =  11.677675700814733  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  11.677675700814733\n",
      "    Found minimum norm =  11.689704941147774  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  11.689704941147774\n",
      "    Found minimum norm =  10.831409578939835  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.020507812500000003   minimal norm  10.831409578939835\n",
      "    Found minimum norm =  11.184675011789961  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.019335937500000004   minimal norm  11.184675011789961\n",
      "    Found minimum norm =  11.678650314326413  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  11.678650314326413\n",
      "    Found minimum norm =  10.76624635802822  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.020117187500000005   minimal norm  10.76624635802822\n",
      "    Found minimum norm =  11.685953655838228  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  11.685953655838228\n",
      "    Found minimum norm =  11.680555856667898  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  11.680555856667898\n",
      "    Found minimum norm =  11.243476879767174  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0212890625   minimal norm  11.243476879767174\n",
      "    Found minimum norm =  11.689333796246293  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  11.689333796246293\n",
      "    Found minimum norm =  10.856781478347653  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.020507812500000003   minimal norm  10.856781478347653\n",
      "    Found minimum norm =  11.217498762378773  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.018945312500000002   minimal norm  11.217498762378773\n",
      "    Found minimum norm =  11.678124611191391  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  11.678124611191391\n",
      "    Found minimum norm =  10.762737202217647  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.020507812500000003   minimal norm  10.762737202217647\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.685346921683092  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  11.685346921683092\n",
      "    Found minimum norm =  11.680146141403421  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  11.680146141403421\n",
      "    Found minimum norm =  11.310747347445403  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.020507812500000003   minimal norm  11.310747347445403\n",
      "    Found minimum norm =  10.755305390443374  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.020117187500000005   minimal norm  10.755305390443374\n",
      "    Found minimum norm =  11.685993228001783  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  11.685993228001783\n",
      "    Found minimum norm =  11.680599354912323  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  11.680599354912323\n",
      "    Found minimum norm =  11.275360722266505  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.020898437500000002   minimal norm  11.275360722266505\n",
      "    Found minimum norm =  11.688109924276462  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  11.688109924276462\n",
      "    Found minimum norm =  10.81394343914493  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.021679687500000003   minimal norm  10.81394343914493\n",
      "    Found minimum norm =  11.221124921729436  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.019726562500000003   minimal norm  11.221124921729436\n",
      "    Found minimum norm =  11.676455633645023  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0001953125   minimal norm  11.676455633645023\n",
      "    Found minimum norm =  11.682895233282352  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  11.682895233282352\n",
      "    Found minimum norm =  11.160821748680334  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.020898437500000002   minimal norm  11.160821748680334\n",
      "    Found minimum norm =  11.570754005248574  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0138671875   minimal norm  11.570754005248574\n",
      "    Found minimum norm =  11.671286791707558  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  11.671286791707558\n",
      "    Found minimum norm =  11.129852996905106  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.019335937500000004   minimal norm  11.129852996905106\n",
      "    Found minimum norm =  11.679257236390978  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  11.679257236390978\n",
      "    Found minimum norm =  11.673681475685608  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  11.673681475685608\n",
      "    Found minimum norm =  11.641832625100017  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.015039062499999999   minimal norm  11.641832625100017\n",
      "    Found minimum norm =  11.138275272203447  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.018945312500000002   minimal norm  11.138275272203447\n",
      "    Found minimum norm =  11.679782460428452  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  11.679782460428452\n",
      "    Found minimum norm =  11.67392576575221  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  11.67392576575221\n",
      "    Found minimum norm =  11.628367425109207  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.016992187500000002   minimal norm  11.628367425109207\n",
      "    Found minimum norm =  11.68179841290665  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  11.68179841290665\n",
      "    Found minimum norm =  11.170941333756549  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.022460937500000003   minimal norm  11.170941333756549\n",
      "    Found minimum norm =  11.565231875414444  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0166015625   minimal norm  11.565231875414444\n",
      "    Found minimum norm =  11.669838728844105  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0001953125   minimal norm  11.669838728844105\n",
      "    Found minimum norm =  11.10453177461603  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.019726562500000003   minimal norm  11.10453177461603\n",
      "    Found minimum norm =  11.678890592817025  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  11.678890592817025\n",
      "    Found minimum norm =  11.673941625548684  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  11.673941625548684\n",
      "    Found minimum norm =  11.639671519714948  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0154296875   minimal norm  11.639671519714948\n",
      "    Found minimum norm =  11.681373734037539  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  11.681373734037539\n",
      "    Found minimum norm =  11.209133313392753  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.021679687500000003   minimal norm  11.209133313392753\n",
      "    Found minimum norm =  11.571522845601617  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.016992187500000002   minimal norm  11.571522845601617\n",
      "    Found minimum norm =  11.669377406971769  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0001953125   minimal norm  11.669377406971769\n",
      "    Found minimum norm =  11.681503026174935  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  11.681503026174935\n",
      "    Found minimum norm =  11.142326091058525  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.022460937500000003   minimal norm  11.142326091058525\n",
      "    Found minimum norm =  11.571823623773904  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0158203125   minimal norm  11.571823623773904\n",
      "    Found minimum norm =  11.669889065612926  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0001953125   minimal norm  11.669889065612926\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.116202389654422  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.020507812500000003   minimal norm  11.116202389654422\n",
      "    Found minimum norm =  11.677670544340435  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0001953125   minimal norm  11.677670544340435\n",
      "    Found minimum norm =  11.672158383638727  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0001953125   minimal norm  11.672158383638727\n",
      "    Found minimum norm =  11.669219124729588  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  11.669219124729588\n",
      "    Found minimum norm =  9.922388558690495  for s =  0.0021484375\n",
      "Found that canonical is better because  9.922388558690495 10.755305390443374\n",
      "    Found minimum norm =  9.922388558690495  for s =  0.0021484375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  14\n",
      "    Found minimum norm =  9.922789826580523  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  9.922789826580523\n",
      "    Found minimum norm =  9.922483516154518  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0001953125   minimal norm  9.922483516154518\n",
      "    Found minimum norm =  9.922650361698151  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.922650361698151\n",
      "    Found minimum norm =  9.922804428369076  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  9.922804428369076\n",
      "    Found minimum norm =  9.922628238989638  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.922628238989638\n",
      "    Found minimum norm =  9.922956228218865  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.922956228218865\n",
      "    Found minimum norm =  9.922806840488832  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  9.922806840488832\n",
      "    Found minimum norm =  9.91017625652479  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0162109375   minimal norm  9.91017625652479\n",
      "    Found minimum norm =  9.922692337214828  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.922692337214828\n",
      "    Found minimum norm =  9.922889659538574  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.922889659538574\n",
      "    Found minimum norm =  9.922714156880984  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.922714156880984\n",
      "    Found minimum norm =  9.922791794143691  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  9.922791794143691\n",
      "    Found minimum norm =  9.922817406275218  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.922817406275218\n",
      "    Found minimum norm =  9.92257617670616  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  9.92257617670616\n",
      "    Found minimum norm =  9.9225766685012  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0001953125   minimal norm  9.9225766685012\n",
      "    Found minimum norm =  9.922403716525684  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  9.922403716525684\n",
      "    Found minimum norm =  9.922627865553249  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  9.922627865553249\n",
      "    Found minimum norm =  9.922835870656202  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  9.922835870656202\n",
      "    Found minimum norm =  9.922889157350967  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.922889157350967\n",
      "    Found minimum norm =  9.922444964607369  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  9.922444964607369\n",
      "    Found minimum norm =  9.922785003953978  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.922785003953978\n",
      "    Found minimum norm =  9.922491210873934  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0001953125   minimal norm  9.922491210873934\n",
      "    Found minimum norm =  9.92254984241092  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0001953125   minimal norm  9.92254984241092\n",
      "    Found minimum norm =  9.922857037798023  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  9.922857037798023\n",
      "    Found minimum norm =  9.922822567719729  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  9.922822567719729\n",
      "    Found minimum norm =  9.922676087109513  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  9.922676087109513\n",
      "    Found minimum norm =  9.922539110582454  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  9.922539110582454\n",
      "    Found minimum norm =  9.922829620178522  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  9.922829620178522\n",
      "    Found minimum norm =  9.922586824902083  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  9.922586824902083\n",
      "    Found minimum norm =  9.922734517160702  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  9.922734517160702\n",
      "    Found minimum norm =  9.92274209280153  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  9.92274209280153\n",
      "    Found minimum norm =  9.919800163626158  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0095703125   minimal norm  9.919800163626158\n",
      "    Found minimum norm =  9.922641052933075  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  9.922641052933075\n",
      "    Found minimum norm =  9.92302619274999  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  9.92302619274999\n",
      "    Found minimum norm =  9.92267000711882  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.92267000711882\n",
      "    Found minimum norm =  9.922810239215734  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  9.922810239215734\n",
      "    Found minimum norm =  9.922879773336325  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.922879773336325\n",
      "    Found minimum norm =  9.922588710776791  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.922588710776791\n",
      "    Found minimum norm =  9.922515500765153  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0001953125   minimal norm  9.922515500765153\n",
      "    Found minimum norm =  9.92295615881838  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  9.92295615881838\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.922707019782044  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.922707019782044\n",
      "    Found minimum norm =  9.922400861421039  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.922400861421039\n",
      "    Found minimum norm =  9.92270348417895  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.92270348417895\n",
      "    Found minimum norm =  9.922477157604257  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  9.922477157604257\n",
      "    Found minimum norm =  9.922537597843144  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  9.922537597843144\n",
      "    Found minimum norm =  9.922768423316146  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  9.922768423316146\n",
      "    Found minimum norm =  9.922713709325837  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  9.922713709325837\n",
      "    Found minimum norm =  9.922745477530526  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  9.922745477530526\n",
      "    Found minimum norm =  9.922805341165978  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  9.922805341165978\n",
      "    Found minimum norm =  9.922519662522589  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0001953125   minimal norm  9.922519662522589\n",
      "    Found minimum norm =  9.922510972073846  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0001953125   minimal norm  9.922510972073846\n",
      "    Found minimum norm =  9.922746599013367  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  9.922746599013367\n",
      "    Found minimum norm =  9.922543892991266  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0001953125   minimal norm  9.922543892991266\n",
      "    Found minimum norm =  9.922775611201669  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  9.922775611201669\n",
      "    Found minimum norm =  9.922775132543814  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  9.922775132543814\n",
      "    Found minimum norm =  9.921390017232413  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0076171875   minimal norm  9.921390017232413\n",
      "    Found minimum norm =  9.92257014042865  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0001953125   minimal norm  9.92257014042865\n",
      "    Found minimum norm =  9.92274932767379  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  9.92274932767379\n",
      "    Found minimum norm =  9.922719504806611  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  9.922719504806611\n",
      "    Found minimum norm =  9.922497701884067  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  9.922497701884067\n",
      "    Found minimum norm =  9.92273150871988  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  9.92273150871988\n",
      "    Found minimum norm =  9.92251964176063  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  9.92251964176063\n",
      "    Found minimum norm =  9.922498101578068  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  9.922498101578068\n",
      "    Found minimum norm =  9.922419726556111  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0001953125   minimal norm  9.922419726556111\n",
      "    Found minimum norm =  9.922408096783967  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  9.922408096783967\n",
      "    Found minimum norm =  9.922558301328989  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  9.922558301328989\n",
      "    Found minimum norm =  9.922886035069904  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.922886035069904\n",
      "    Found minimum norm =  9.89475009315604  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.029882812499999998   minimal norm  9.89475009315604\n",
      "    Found minimum norm =  9.922684544048423  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.922684544048423\n",
      "    Found minimum norm =  9.922657732821408  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.922657732821408\n",
      "    Found minimum norm =  9.922455378721022  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0001953125   minimal norm  9.922455378721022\n",
      "    Found minimum norm =  9.920203246043865  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0087890625   minimal norm  9.920203246043865\n",
      "    Found minimum norm =  9.922751167600016  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.922751167600016\n",
      "    Found minimum norm =  9.922591339509646  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.922591339509646\n",
      "    Found minimum norm =  9.919869587114405  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.018554687500000003   minimal norm  9.919869587114405\n",
      "    Found minimum norm =  9.922869320520615  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  9.922869320520615\n",
      "    Found minimum norm =  9.922594869300523  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.922594869300523\n",
      "    Found minimum norm =  9.922644150178732  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  9.922644150178732\n",
      "    Found minimum norm =  9.922600623930402  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  9.922600623930402\n",
      "    Found minimum norm =  9.813108427620481  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.07480468750000001   minimal norm  9.813108427620481\n",
      "    Found minimum norm =  9.92281261885071  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  9.92281261885071\n",
      "    Found minimum norm =  9.922662374219904  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  9.922662374219904\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.922516273692745  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.922516273692745\n",
      "    Found minimum norm =  9.922784714484699  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  9.922784714484699\n",
      "    Found minimum norm =  9.922416611858065  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.922416611858065\n",
      "    Found minimum norm =  9.922473699564152  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  9.922473699564152\n",
      "    Found minimum norm =  9.922633802558602  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  9.922633802558602\n",
      "    Found minimum norm =  9.922405753306489  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  9.922405753306489\n",
      "    Found minimum norm =  9.922501184190006  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  9.922501184190006\n",
      "    Found minimum norm =  9.922646922674717  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  9.922646922674717\n",
      "    Found minimum norm =  9.92262358137026  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  9.92262358137026\n",
      "    Found minimum norm =  9.886996430910491  for s =  0.0931640625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0931640625   minimal norm  9.886996430910491\n",
      "    Found minimum norm =  9.92258933299115  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  9.92258933299115\n",
      "    Found minimum norm =  9.922440980789315  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  9.922440980789315\n",
      "    Found minimum norm =  9.922458993514216  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  9.922458993514216\n",
      "    Found minimum norm =  9.894633092980019  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0498046875   minimal norm  9.894633092980019\n",
      "    Found minimum norm =  9.922646536603283  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  9.922646536603283\n",
      "    Found minimum norm =  9.890975904875445  for s =  0.03378906250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.03378906250000001   minimal norm  9.890975904875445\n",
      "    Found minimum norm =  9.922753110233648  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.922753110233648\n",
      "    Found minimum norm =  9.919952041973005  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.011132812500000002   minimal norm  9.919952041973005\n",
      "    Found minimum norm =  9.922350064302503  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0013671875000000001   minimal norm  9.922350064302503\n",
      "    Found minimum norm =  9.922790548467448  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.922790548467448\n",
      "    Found minimum norm =  9.922567800221373  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  9.922567800221373\n",
      "    Found minimum norm =  9.914692064409582  for s =  0.028710937500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.028710937500000002   minimal norm  9.914692064409582\n",
      "    Found minimum norm =  9.922687027203425  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.922687027203425\n",
      "    Found minimum norm =  9.922836221907673  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.922836221907673\n",
      "    Found minimum norm =  9.892458658338931  for s =  0.07441406250000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.07441406250000002   minimal norm  9.892458658338931\n",
      "    Found minimum norm =  9.90967705690609  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0998046875   minimal norm  9.90967705690609\n",
      "    Found minimum norm =  9.922661457972223  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  9.922661457972223\n",
      "    Found minimum norm =  9.851756836059275  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0998046875   minimal norm  9.851756836059275\n",
      "    Found minimum norm =  9.922448221317806  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  9.922448221317806\n",
      "    Found minimum norm =  9.792100999029937  for s =  0.1181640625\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.1181640625   minimal norm  9.792100999029937\n",
      "    Found minimum norm =  9.88902995417941  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0322265625   minimal norm  9.88902995417941\n",
      "    Found minimum norm =  9.920259029865914  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0095703125   minimal norm  9.920259029865914\n",
      "    Found minimum norm =  9.922800014809978  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  9.922800014809978\n",
      "    Found minimum norm =  9.914605441673087  for s =  0.0291015625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0291015625   minimal norm  9.914605441673087\n",
      "    Found minimum norm =  9.922635331014376  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  9.922635331014376\n",
      "    Found minimum norm =  9.922443812466074  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  9.922443812466074\n",
      "    Found minimum norm =  9.887488275647836  for s =  0.07714843750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.07714843750000001   minimal norm  9.887488275647836\n",
      "    Found minimum norm =  9.778729945891518  for s =  0.1166015625\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.1166015625   minimal norm  9.778729945891518\n",
      "    Found minimum norm =  9.916071484520025  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0154296875   minimal norm  9.916071484520025\n",
      "    Found minimum norm =  9.81508117577153  for s =  0.08183593750000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.08183593750000001   minimal norm  9.81508117577153\n",
      "    Found minimum norm =  9.92259160994892  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  9.92259160994892\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.800801380638385  for s =  0.11425781250000001\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.11425781250000001   minimal norm  9.800801380638385\n",
      "    Found minimum norm =  9.908224309661135  for s =  0.0333984375\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0333984375   minimal norm  9.908224309661135\n",
      "    Found minimum norm =  9.903336112635898  for s =  0.048242187500000006\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.048242187500000006   minimal norm  9.903336112635898\n",
      "    Found minimum norm =  9.881020251696953  for s =  0.058007812500000006\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.058007812500000006   minimal norm  9.881020251696953\n",
      "    Found minimum norm =  9.922388558690495  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  9.922388558690495\n",
      "    Found minimum norm =  9.772237716749078  for s =  0.0060546875\n",
      "Found that canonical is better because  9.772237716749078 9.778729945891518\n",
      "    Found minimum norm =  9.772237716749078  for s =  0.0060546875\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  15\n",
      "    Found minimum norm =  9.772990454330905  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  9.772990454330905\n",
      "    Found minimum norm =  9.772295965730242  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0001953125   minimal norm  9.772295965730242\n",
      "    Found minimum norm =  9.772476281853486  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.772476281853486\n",
      "    Found minimum norm =  9.772988606982985  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  9.772988606982985\n",
      "    Found minimum norm =  9.772461272431483  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.772461272431483\n",
      "    Found minimum norm =  9.773121706352642  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.773121706352642\n",
      "    Found minimum norm =  9.772992708304441  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  9.772992708304441\n",
      "    Found minimum norm =  9.763680257968506  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0115234375   minimal norm  9.763680257968506\n",
      "    Found minimum norm =  9.772544102198834  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.772544102198834\n",
      "    Found minimum norm =  9.773024656518485  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.773024656518485\n",
      "    Found minimum norm =  9.772880846883014  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.772880846883014\n",
      "    Found minimum norm =  9.772605461603064  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  9.772605461603064\n",
      "    Found minimum norm =  9.77297475834585  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.77297475834585\n",
      "    Found minimum norm =  9.77241475205311  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  9.77241475205311\n",
      "    Found minimum norm =  9.772436954307333  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0001953125   minimal norm  9.772436954307333\n",
      "    Found minimum norm =  9.77262978091654  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  9.77262978091654\n",
      "    Found minimum norm =  9.772455865424233  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  9.772455865424233\n",
      "    Found minimum norm =  9.772998576056503  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  9.772998576056503\n",
      "    Found minimum norm =  9.77307560078181  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.77307560078181\n",
      "    Found minimum norm =  9.772237099210539  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  9.772237099210539\n",
      "    Found minimum norm =  9.772967785766708  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.772967785766708\n",
      "    Found minimum norm =  9.77230546559838  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0001953125   minimal norm  9.77230546559838\n",
      "    Found minimum norm =  9.77238353766576  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0001953125   minimal norm  9.77238353766576\n",
      "    Found minimum norm =  9.773043053142295  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  9.773043053142295\n",
      "    Found minimum norm =  9.772983141147996  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  9.772983141147996\n",
      "    Found minimum norm =  9.772505492943779  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  9.772505492943779\n",
      "    Found minimum norm =  9.772393085842472  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  9.772393085842472\n",
      "    Found minimum norm =  9.772967874419619  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  9.772967874419619\n",
      "    Found minimum norm =  9.772456657745932  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  9.772456657745932\n",
      "    Found minimum norm =  9.772867792490638  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  9.772867792490638\n",
      "    Found minimum norm =  9.772897866053043  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  9.772897866053043\n",
      "    Found minimum norm =  9.772169426891317  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0013671875000000001   minimal norm  9.772169426891317\n",
      "    Found minimum norm =  9.77247649693907  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  9.77247649693907\n",
      "    Found minimum norm =  9.77317972309432  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  9.77317972309432\n",
      "    Found minimum norm =  9.772843705968354  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.772843705968354\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.772607552927425  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  9.772607552927425\n",
      "    Found minimum norm =  9.773046955043544  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.773046955043544\n",
      "    Found minimum norm =  9.772386412440095  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.772386412440095\n",
      "    Found minimum norm =  9.772351373961031  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0001953125   minimal norm  9.772351373961031\n",
      "    Found minimum norm =  9.773106106810278  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  9.773106106810278\n",
      "    Found minimum norm =  9.772858178486032  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.772858178486032\n",
      "    Found minimum norm =  9.772233358480355  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0005859375000000001   minimal norm  9.772233358480355\n",
      "    Found minimum norm =  9.772565666731724  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.772565666731724\n",
      "    Found minimum norm =  9.772594331400843  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  9.772594331400843\n",
      "    Found minimum norm =  9.772406186540241  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  9.772406186540241\n",
      "    Found minimum norm =  9.772891325457577  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  9.772891325457577\n",
      "    Found minimum norm =  9.772855599676085  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  9.772855599676085\n",
      "    Found minimum norm =  9.772614675226842  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  9.772614675226842\n",
      "    Found minimum norm =  9.772979831876418  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  9.772979831876418\n",
      "    Found minimum norm =  9.77233231466021  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0001953125   minimal norm  9.77233231466021\n",
      "    Found minimum norm =  9.772342745387293  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0001953125   minimal norm  9.772342745387293\n",
      "    Found minimum norm =  9.772893182681887  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  9.772893182681887\n",
      "    Found minimum norm =  9.77238746146959  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0001953125   minimal norm  9.77238746146959\n",
      "    Found minimum norm =  9.772918638628754  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  9.772918638628754\n",
      "    Found minimum norm =  9.772944402886866  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  9.772944402886866\n",
      "    Found minimum norm =  9.77121125685404  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0052734375   minimal norm  9.77121125685404\n",
      "    Found minimum norm =  9.772436220721774  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0001953125   minimal norm  9.772436220721774\n",
      "    Found minimum norm =  9.772876227581614  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  9.772876227581614\n",
      "    Found minimum norm =  9.772865224791804  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  9.772865224791804\n",
      "    Found minimum norm =  9.772337783691638  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  9.772337783691638\n",
      "    Found minimum norm =  9.772871583595544  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  9.772871583595544\n",
      "    Found minimum norm =  9.7723746481443  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  9.7723746481443\n",
      "    Found minimum norm =  9.772369282355594  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  9.772369282355594\n",
      "    Found minimum norm =  9.772547989799829  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0001953125   minimal norm  9.772547989799829\n",
      "    Found minimum norm =  9.772195918335113  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0009765625   minimal norm  9.772195918335113\n",
      "    Found minimum norm =  9.772587020320133  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  9.772587020320133\n",
      "    Found minimum norm =  9.772913498757033  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.772913498757033\n",
      "    Found minimum norm =  9.74276413086017  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0306640625   minimal norm  9.74276413086017\n",
      "    Found minimum norm =  9.772710657342738  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.772710657342738\n",
      "    Found minimum norm =  9.772455153610753  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.772455153610753\n",
      "    Found minimum norm =  9.772271452361158  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0001953125   minimal norm  9.772271452361158\n",
      "    Found minimum norm =  9.772386016791799  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  9.772386016791799\n",
      "    Found minimum norm =  9.772754147913117  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.772754147913117\n",
      "    Found minimum norm =  9.77239222991613  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.77239222991613\n",
      "    Found minimum norm =  9.768671273467513  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.019726562500000003   minimal norm  9.768671273467513\n",
      "    Found minimum norm =  9.772846966328808  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  9.772846966328808\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.772428763953517  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.772428763953517\n",
      "    Found minimum norm =  9.772612102947289  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  9.772612102947289\n",
      "    Found minimum norm =  9.772597234858699  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  9.772597234858699\n",
      "    Found minimum norm =  9.699599363679965  for s =  0.06386718749999999\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.06386718749999999   minimal norm  9.699599363679965\n",
      "    Found minimum norm =  9.772846331501697  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  9.772846331501697\n",
      "    Found minimum norm =  9.772456128912506  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  9.772456128912506\n",
      "    Found minimum norm =  9.772310071538861  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.772310071538861\n",
      "    Found minimum norm =  9.772786946506406  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  9.772786946506406\n",
      "    Found minimum norm =  9.772225308693809  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0009765625   minimal norm  9.772225308693809\n",
      "    Found minimum norm =  9.772469535301898  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  9.772469535301898\n",
      "    Found minimum norm =  9.77264922479187  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  9.77264922479187\n",
      "    Found minimum norm =  9.772266145666514  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  9.772266145666514\n",
      "    Found minimum norm =  9.772336132315838  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  9.772336132315838\n",
      "    Found minimum norm =  9.772617072114093  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  9.772617072114093\n",
      "    Found minimum norm =  9.772623351579208  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  9.772623351579208\n",
      "    Found minimum norm =  9.72270164485916  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0998046875   minimal norm  9.72270164485916\n",
      "    Found minimum norm =  9.7725893778177  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  9.7725893778177\n",
      "    Found minimum norm =  9.772271736926914  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  9.772271736926914\n",
      "    Found minimum norm =  9.772314404824193  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  9.772314404824193\n",
      "    Found minimum norm =  9.772204715250732  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0013671875000000001   minimal norm  9.772204715250732\n",
      "    Found minimum norm =  9.772683530792692  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  9.772683530792692\n",
      "    Found minimum norm =  9.738096503733937  for s =  0.034570312500000006\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.034570312500000006   minimal norm  9.738096503733937\n",
      "    Found minimum norm =  9.772561738702336  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.772561738702336\n",
      "    Found minimum norm =  9.772362535035043  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  9.772362535035043\n",
      "    Found minimum norm =  9.771394277452474  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0060546875   minimal norm  9.771394277452474\n",
      "    Found minimum norm =  9.772785058953527  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.772785058953527\n",
      "    Found minimum norm =  9.772566868638975  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  9.772566868638975\n",
      "    Found minimum norm =  9.771087262852165  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0107421875   minimal norm  9.771087262852165\n",
      "    Found minimum norm =  9.772512948426204  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.772512948426204\n",
      "    Found minimum norm =  9.772809734326772  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.772809734326772\n",
      "    Found minimum norm =  9.772299090190996  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.772299090190996\n",
      "    Found minimum norm =  9.752567828381393  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0998046875   minimal norm  9.752567828381393\n",
      "    Found minimum norm =  9.77264984304096  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  9.77264984304096\n",
      "    Found minimum norm =  9.682587897753386  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0998046875   minimal norm  9.682587897753386\n",
      "    Found minimum norm =  9.772301670399445  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  9.772301670399445\n",
      "    Found minimum norm =  9.758611180635478  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0283203125   minimal norm  9.758611180635478\n",
      "    Found minimum norm =  9.744089979568043  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0283203125   minimal norm  9.744089979568043\n",
      "    Found minimum norm =  9.772381551360747  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  9.772381551360747\n",
      "    Found minimum norm =  9.77281736366934  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  9.77281736366934\n",
      "    Found minimum norm =  9.770953588232526  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.011132812500000002   minimal norm  9.770953588232526\n",
      "    Found minimum norm =  9.772672672329438  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  9.772672672329438\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.772299895215436  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  9.772299895215436\n",
      "    Found minimum norm =  9.749766177471553  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0498046875   minimal norm  9.749766177471553\n",
      "    Found minimum norm =  9.755615483501794  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0283203125   minimal norm  9.755615483501794\n",
      "    Found minimum norm =  9.772311113217484  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  9.772311113217484\n",
      "    Found minimum norm =  9.69624654884461  for s =  0.0716796875\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0716796875   minimal norm  9.69624654884461\n",
      "    Found minimum norm =  9.772481748567147  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  9.772481748567147\n",
      "    Found minimum norm =  9.760523022274548  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0259765625   minimal norm  9.760523022274548\n",
      "    Found minimum norm =  9.769849550577492  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0126953125   minimal norm  9.769849550577492\n",
      "    Found minimum norm =  9.77226707896437  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0001953125   minimal norm  9.77226707896437\n",
      "    Found minimum norm =  9.768487773354924  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0119140625   minimal norm  9.768487773354924\n",
      "    Found minimum norm =  9.772237716749078  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  9.772237716749078\n",
      "    Found minimum norm =  9.650620098716347  for s =  0.0037109375\n",
      "Found that canonical is better because  9.650620098716347 9.682587897753386\n",
      "    Found minimum norm =  9.650620098716347  for s =  0.0037109375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  16\n",
      "    Found minimum norm =  9.65093291453743  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  9.65093291453743\n",
      "    Found minimum norm =  9.647310049238836  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.009960937500000003   minimal norm  9.647310049238836\n",
      "    Found minimum norm =  9.650665092165367  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.650665092165367\n",
      "    Found minimum norm =  9.6509817795923  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  9.6509817795923\n",
      "    Found minimum norm =  9.650624860681315  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.650624860681315\n",
      "    Found minimum norm =  9.65111066003723  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.65111066003723\n",
      "    Found minimum norm =  9.65097625500872  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  9.65097625500872\n",
      "    Found minimum norm =  9.607492872065967  for s =  0.0412109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0412109375   minimal norm  9.607492872065967\n",
      "    Found minimum norm =  9.650693593038675  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.650693593038675\n",
      "    Found minimum norm =  9.65101848871012  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.65101848871012\n",
      "    Found minimum norm =  9.650872830266572  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.650872830266572\n",
      "    Found minimum norm =  9.65083260396977  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  9.65083260396977\n",
      "    Found minimum norm =  9.65096690266708  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.65096690266708\n",
      "    Found minimum norm =  9.65062645784579  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  9.65062645784579\n",
      "    Found minimum norm =  9.650646277214248  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0001953125   minimal norm  9.650646277214248\n",
      "    Found minimum norm =  9.65071408079225  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  9.65071408079225\n",
      "    Found minimum norm =  9.650622733469712  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  9.650622733469712\n",
      "    Found minimum norm =  9.650980470302558  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  9.650980470302558\n",
      "    Found minimum norm =  9.651055111094138  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.651055111094138\n",
      "    Found minimum norm =  9.640637044632545  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.026757812500000002   minimal norm  9.640637044632545\n",
      "    Found minimum norm =  9.650946669200929  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.650946669200929\n",
      "    Found minimum norm =  9.612878580855273  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0833984375   minimal norm  9.612878580855273\n",
      "    Found minimum norm =  9.650336373578766  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0080078125   minimal norm  9.650336373578766\n",
      "    Found minimum norm =  9.651088052127838  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  9.651088052127838\n",
      "    Found minimum norm =  9.650970147242276  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  9.650970147242276\n",
      "    Found minimum norm =  9.650717236163336  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  9.650717236163336\n",
      "    Found minimum norm =  9.644459237000495  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0498046875   minimal norm  9.644459237000495\n",
      "    Found minimum norm =  9.651010885869827  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  9.651010885869827\n",
      "    Found minimum norm =  9.650648293698719  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  9.650648293698719\n",
      "    Found minimum norm =  9.650909445442037  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  9.650909445442037\n",
      "    Found minimum norm =  9.650936184074897  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  9.650936184074897\n",
      "    Found minimum norm =  9.645894962196639  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.020117187500000005   minimal norm  9.645894962196639\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.650657307398443  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  9.650657307398443\n",
      "    Found minimum norm =  9.651191497689085  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  9.651191497689085\n",
      "    Found minimum norm =  9.650846160140604  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.650846160140604\n",
      "    Found minimum norm =  9.650865549586642  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0001953125   minimal norm  9.650865549586642\n",
      "    Found minimum norm =  9.651054178095052  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.651054178095052\n",
      "    Found minimum norm =  9.64218530091995  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0498046875   minimal norm  9.64218530091995\n",
      "    Found minimum norm =  9.648513731613933  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0220703125   minimal norm  9.648513731613933\n",
      "    Found minimum norm =  9.651167682034519  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  9.651167682034519\n",
      "    Found minimum norm =  9.650872521249012  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.650872521249012\n",
      "    Found minimum norm =  9.572722215844141  for s =  0.0966796875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0966796875   minimal norm  9.572722215844141\n",
      "    Found minimum norm =  9.59906930689416  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0998046875   minimal norm  9.59906930689416\n",
      "    Found minimum norm =  9.65065662161441  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  9.65065662161441\n",
      "    Found minimum norm =  9.642906128374161  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0498046875   minimal norm  9.642906128374161\n",
      "    Found minimum norm =  9.650964080162874  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  9.650964080162874\n",
      "    Found minimum norm =  9.65092080851397  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  9.65092080851397\n",
      "    Found minimum norm =  9.650905439375105  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  9.650905439375105\n",
      "    Found minimum norm =  9.65098039599228  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  9.65098039599228\n",
      "    Found minimum norm =  9.649583971440766  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0087890625   minimal norm  9.649583971440766\n",
      "    Found minimum norm =  9.648354924070649  for s =  0.021679687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.021679687500000003   minimal norm  9.648354924070649\n",
      "    Found minimum norm =  9.65094712680567  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  9.65094712680567\n",
      "    Found minimum norm =  9.6501555355342  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.009960937500000003   minimal norm  9.6501555355342\n",
      "    Found minimum norm =  9.650976190971456  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  9.650976190971456\n",
      "    Found minimum norm =  9.650999619686578  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  9.650999619686578\n",
      "    Found minimum norm =  9.620978576444154  for s =  0.06386718749999999\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.06386718749999999   minimal norm  9.620978576444154\n",
      "    Found minimum norm =  9.65064200623058  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0001953125   minimal norm  9.65064200623058\n",
      "    Found minimum norm =  9.650942735917964  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  9.650942735917964\n",
      "    Found minimum norm =  9.650924657831355  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  9.650924657831355\n",
      "    Found minimum norm =  9.65061367213497  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0021484375   minimal norm  9.65061367213497\n",
      "    Found minimum norm =  9.650932100283445  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  9.650932100283445\n",
      "    Found minimum norm =  9.650635157596719  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  9.650635157596719\n",
      "    Found minimum norm =  9.650624568777193  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  9.650624568777193\n",
      "    Found minimum norm =  9.650673253057644  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0001953125   minimal norm  9.650673253057644\n",
      "    Found minimum norm =  9.647919880346338  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0095703125   minimal norm  9.647919880346338\n",
      "    Found minimum norm =  9.650802891393642  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  9.650802891393642\n",
      "    Found minimum norm =  9.65112046836328  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.65112046836328\n",
      "    Found minimum norm =  9.577450980759185  for s =  0.0662109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0662109375   minimal norm  9.577450980759185\n",
      "    Found minimum norm =  9.650893498929669  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.650893498929669\n",
      "    Found minimum norm =  9.650786929423573  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.650786929423573\n",
      "    Found minimum norm =  9.650047568049697  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.008398437500000001   minimal norm  9.650047568049697\n",
      "    Found minimum norm =  9.650707112646531  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  9.650707112646531\n",
      "    Found minimum norm =  9.650943440783024  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.650943440783024\n",
      "    Found minimum norm =  9.650702946968337  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.650702946968337\n",
      "    Found minimum norm =  9.534202184527729  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0998046875   minimal norm  9.534202184527729\n",
      "    Found minimum norm =  9.651135079381353  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  9.651135079381353\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.65073583408668  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.65073583408668\n",
      "    Found minimum norm =  9.65087326223584  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  9.65087326223584\n",
      "    Found minimum norm =  9.65086241177286  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  9.65086241177286\n",
      "    Found minimum norm =  9.513076881987656  for s =  0.1162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.1162109375   minimal norm  9.513076881987656\n",
      "    Found minimum norm =  9.651031315792032  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  9.651031315792032\n",
      "    Found minimum norm =  9.650785533810879  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  9.650785533810879\n",
      "    Found minimum norm =  9.612016863598294  for s =  0.0966796875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0966796875   minimal norm  9.612016863598294\n",
      "    Found minimum norm =  9.651070256517832  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  9.651070256517832\n",
      "    Found minimum norm =  9.575379524130067  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0998046875   minimal norm  9.575379524130067\n",
      "    Found minimum norm =  9.65072566204144  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  9.65072566204144\n",
      "    Found minimum norm =  9.650907105297257  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  9.650907105297257\n",
      "    Found minimum norm =  9.608598770497037  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0998046875   minimal norm  9.608598770497037\n",
      "    Found minimum norm =  9.650644277167741  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  9.650644277167741\n",
      "    Found minimum norm =  9.650879071115972  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  9.650879071115972\n",
      "    Found minimum norm =  9.650890249498634  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  9.650890249498634\n",
      "    Found minimum norm =  9.39570279489916  for s =  0.16660156250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.16660156250000002   minimal norm  9.39570279489916\n",
      "    Found minimum norm =  9.650831768882616  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  9.650831768882616\n",
      "    Found minimum norm =  9.454422412567459  for s =  0.1619140625\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.1619140625   minimal norm  9.454422412567459\n",
      "    Found minimum norm =  9.649236063996623  for s =  0.08925781250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.08925781250000002   minimal norm  9.649236063996623\n",
      "    Found minimum norm =  9.650572464005858  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0017578125   minimal norm  9.650572464005858\n",
      "    Found minimum norm =  9.650905186537965  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  9.650905186537965\n",
      "    Found minimum norm =  9.565311850256094  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.07480468750000001   minimal norm  9.565311850256094\n",
      "    Found minimum norm =  9.650888388010916  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.650888388010916\n",
      "    Found minimum norm =  9.650704033370197  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  9.650704033370197\n",
      "    Found minimum norm =  9.634535715300593  for s =  0.0486328125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0486328125   minimal norm  9.634535715300593\n",
      "    Found minimum norm =  9.651079647080245  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.651079647080245\n",
      "    Found minimum norm =  9.650852141308174  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  9.650852141308174\n",
      "    Found minimum norm =  9.65030064153297  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0115234375   minimal norm  9.65030064153297\n",
      "    Found minimum norm =  9.650822437249477  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.650822437249477\n",
      "    Found minimum norm =  9.651109881099329  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.651109881099329\n",
      "    Found minimum norm =  9.647005487586872  for s =  0.032617187500000006\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.032617187500000006   minimal norm  9.647005487586872\n",
      "    Found minimum norm =  9.466988195496857  for s =  0.17871093750000006\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.17871093750000006   minimal norm  9.466988195496857\n",
      "    Found minimum norm =  9.650926033700127  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  9.650926033700127\n",
      "    Found minimum norm =  9.331171789831021  for s =  0.1775390625\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.1775390625   minimal norm  9.331171789831021\n",
      "    Found minimum norm =  9.58669669297121  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.14980468750000003   minimal norm  9.58669669297121\n",
      "    Found minimum norm =  9.639697330899908  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.026367187500000003   minimal norm  9.639697330899908\n",
      "    Found minimum norm =  9.583669420476767  for s =  0.0607421875\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0607421875   minimal norm  9.583669420476767\n",
      "    Found minimum norm =  9.650710509494349  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  9.650710509494349\n",
      "    Found minimum norm =  9.651109111937641  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  9.651109111937641\n",
      "    Found minimum norm =  9.650068426593387  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0146484375   minimal norm  9.650068426593387\n",
      "    Found minimum norm =  9.650951588235017  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  9.650951588235017\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.566514160072169  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.14980468750000003   minimal norm  9.566514160072169\n",
      "    Found minimum norm =  9.532197701341657  for s =  0.13730468750000002\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.13730468750000002   minimal norm  9.532197701341657\n",
      "    Found minimum norm =  9.634166681236033  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.029882812499999998   minimal norm  9.634166681236033\n",
      "    Found minimum norm =  9.650624295561034  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  9.650624295561034\n",
      "    Found minimum norm =  9.503095623313579  for s =  0.1279296875\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.1279296875   minimal norm  9.503095623313579\n",
      "    Found minimum norm =  9.650847762712194  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  9.650847762712194\n",
      "    Found minimum norm =  9.64138184920223  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0240234375   minimal norm  9.64138184920223\n",
      "    Found minimum norm =  9.6429192767244  for s =  0.044335937500000006\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.044335937500000006   minimal norm  9.6429192767244\n",
      "    Found minimum norm =  9.650652701629628  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0001953125   minimal norm  9.650652701629628\n",
      "    Found minimum norm =  9.64499590046646  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0154296875   minimal norm  9.64499590046646\n",
      "    Found minimum norm =  9.650620098716347  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  9.650620098716347\n",
      "    Found minimum norm =  9.560383709478485  for s =  0.0044921875000000005\n",
      "Found that canonical is worse because  9.560383709478485 9.331171789831021\n",
      "    Found minimum norm =  9.331171789831021  for s =  0.1775390625\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n",
      "Flow step  17\n",
      "    Found minimum norm =  9.331923602830015  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  9.331923602830015\n",
      "    Found minimum norm =  9.325206027113033  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0072265625   minimal norm  9.325206027113033\n",
      "    Found minimum norm =  9.325380398985908  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0087890625   minimal norm  9.325380398985908\n",
      "    Found minimum norm =  9.331978524006741  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  9.331978524006741\n",
      "    Found minimum norm =  9.330921859342668  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0013671875000000001   minimal norm  9.330921859342668\n",
      "    Found minimum norm =  9.332239187400566  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.332239187400566\n",
      "    Found minimum norm =  9.33198010722456  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  9.33198010722456\n",
      "    Found minimum norm =  9.295043863785164  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.022460937500000003   minimal norm  9.295043863785164\n",
      "    Found minimum norm =  9.331172228342675  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.331172228342675\n",
      "    Found minimum norm =  9.33190579789497  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.33190579789497\n",
      "    Found minimum norm =  9.331739927492473  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.331739927492473\n",
      "    Found minimum norm =  9.328878298858799  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0060546875   minimal norm  9.328878298858799\n",
      "    Found minimum norm =  9.33210162874433  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.33210162874433\n",
      "    Found minimum norm =  9.331223783016076  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  9.331223783016076\n",
      "    Found minimum norm =  9.329110909734139  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0052734375   minimal norm  9.329110909734139\n",
      "    Found minimum norm =  9.331603050979464  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  9.331603050979464\n",
      "    Found minimum norm =  9.331273456383983  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  9.331273456383983\n",
      "    Found minimum norm =  9.332083208239034  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  9.332083208239034\n",
      "    Found minimum norm =  9.331806090272643  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.331806090272643\n",
      "    Found minimum norm =  9.331241474128584  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  9.331241474128584\n",
      "    Found minimum norm =  9.331864456639261  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.331864456639261\n",
      "    Found minimum norm =  9.331223055949573  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0001953125   minimal norm  9.331223055949573\n",
      "    Found minimum norm =  9.322336975151371  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0173828125   minimal norm  9.322336975151371\n",
      "    Found minimum norm =  9.331702391296272  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  9.331702391296272\n",
      "    Found minimum norm =  9.331786687292505  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  9.331786687292505\n",
      "    Found minimum norm =  9.33110891549086  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0009765625   minimal norm  9.33110891549086\n",
      "    Found minimum norm =  9.33000106766029  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0068359375   minimal norm  9.33000106766029\n",
      "    Found minimum norm =  9.331556802214173  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  9.331556802214173\n",
      "    Found minimum norm =  9.330268223223852  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0037109375   minimal norm  9.330268223223852\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.331460768072363  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  9.331460768072363\n",
      "    Found minimum norm =  9.331654207879714  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  9.331654207879714\n",
      "    Found minimum norm =  9.322573829395935  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0181640625   minimal norm  9.322573829395935\n",
      "    Found minimum norm =  9.329859682408312  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0037109375   minimal norm  9.329859682408312\n",
      "    Found minimum norm =  9.33203352749417  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  9.33203352749417\n",
      "    Found minimum norm =  9.331810408961593  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.331810408961593\n",
      "    Found minimum norm =  9.326390544528454  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.008398437500000001   minimal norm  9.326390544528454\n",
      "    Found minimum norm =  9.332022314095367  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.332022314095367\n",
      "    Found minimum norm =  9.321525172003792  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0107421875   minimal norm  9.321525172003792\n",
      "    Found minimum norm =  9.327324383962043  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.008398437500000001   minimal norm  9.327324383962043\n",
      "    Found minimum norm =  9.331923291498331  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  9.331923291498331\n",
      "    Found minimum norm =  9.332071931429327  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.332071931429327\n",
      "    Found minimum norm =  9.330503621244265  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0029296875   minimal norm  9.330503621244265\n",
      "    Found minimum norm =  9.329735415237753  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0052734375   minimal norm  9.329735415237753\n",
      "    Found minimum norm =  9.331974468724948  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  9.331974468724948\n",
      "    Found minimum norm =  9.33089130477669  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0017578125   minimal norm  9.33089130477669\n",
      "    Found minimum norm =  9.332252785266974  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  9.332252785266974\n",
      "    Found minimum norm =  9.331780302485978  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  9.331780302485978\n",
      "    Found minimum norm =  9.330687641620136  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0029296875   minimal norm  9.330687641620136\n",
      "    Found minimum norm =  9.331856830513592  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  9.331856830513592\n",
      "    Found minimum norm =  9.328778203191206  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0060546875   minimal norm  9.328778203191206\n",
      "    Found minimum norm =  9.328263382974411  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.009179687500000002   minimal norm  9.328263382974411\n",
      "    Found minimum norm =  9.331595029069573  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  9.331595029069573\n",
      "    Found minimum norm =  9.331104216575419  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0009765625   minimal norm  9.331104216575419\n",
      "    Found minimum norm =  9.331995565471866  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  9.331995565471866\n",
      "    Found minimum norm =  9.331702981414805  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  9.331702981414805\n",
      "    Found minimum norm =  9.316354307381294  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0275390625   minimal norm  9.316354307381294\n",
      "    Found minimum norm =  9.33112488406872  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0009765625   minimal norm  9.33112488406872\n",
      "    Found minimum norm =  9.331787060137211  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  9.331787060137211\n",
      "    Found minimum norm =  9.331606096558268  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  9.331606096558268\n",
      "    Found minimum norm =  9.330775102669476  for s =  0.004882812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.004882812500000001   minimal norm  9.330775102669476\n",
      "    Found minimum norm =  9.331815984914675  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  9.331815984914675\n",
      "    Found minimum norm =  9.33103789566391  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0017578125   minimal norm  9.33103789566391\n",
      "    Found minimum norm =  9.329565505652697  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0080078125   minimal norm  9.329565505652697\n",
      "    Found minimum norm =  9.331309709538427  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0001953125   minimal norm  9.331309709538427\n",
      "    Found minimum norm =  9.326661440076057  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0064453125000000005   minimal norm  9.326661440076057\n",
      "    Found minimum norm =  9.332142182799679  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  9.332142182799679\n",
      "    Found minimum norm =  9.331891595068734  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.331891595068734\n",
      "    Found minimum norm =  9.316213380432442  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0158203125   minimal norm  9.316213380432442\n",
      "    Found minimum norm =  9.332108477877902  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.332108477877902\n",
      "    Found minimum norm =  9.33132535355749  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.33132535355749\n",
      "    Found minimum norm =  9.328100824482668  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0080078125   minimal norm  9.328100824482668\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.33050367514745  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0029296875   minimal norm  9.33050367514745\n",
      "    Found minimum norm =  9.332115014190855  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.332115014190855\n",
      "    Found minimum norm =  9.327334300723248  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0064453125000000005   minimal norm  9.327334300723248\n",
      "    Found minimum norm =  9.322992846620794  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0138671875   minimal norm  9.322992846620794\n",
      "    Found minimum norm =  9.33172998202639  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  9.33172998202639\n",
      "    Found minimum norm =  9.330472804994864  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0025390625000000005   minimal norm  9.330472804994864\n",
      "    Found minimum norm =  9.332633530666694  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  9.332633530666694\n",
      "    Found minimum norm =  9.33177646685185  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  9.33177646685185\n",
      "    Found minimum norm =  9.192627303250374  for s =  0.05136718750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.05136718750000001   minimal norm  9.192627303250374\n",
      "    Found minimum norm =  9.331924182186183  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  9.331924182186183\n",
      "    Found minimum norm =  9.331199967803038  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  9.331199967803038\n",
      "    Found minimum norm =  9.331274606263227  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.331274606263227\n",
      "    Found minimum norm =  9.331482172706158  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  9.331482172706158\n",
      "    Found minimum norm =  9.324823895105567  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0107421875   minimal norm  9.324823895105567\n",
      "    Found minimum norm =  9.331265037256326  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  9.331265037256326\n",
      "    Found minimum norm =  9.331470922691448  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  9.331470922691448\n",
      "    Found minimum norm =  9.331231894630822  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  9.331231894630822\n",
      "    Found minimum norm =  9.331094320450466  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0013671875000000001   minimal norm  9.331094320450466\n",
      "    Found minimum norm =  9.331955761132864  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  9.331955761132864\n",
      "    Found minimum norm =  9.331466622461244  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  9.331466622461244\n",
      "    Found minimum norm =  9.331195556234213  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0001953125   minimal norm  9.331195556234213\n",
      "    Found minimum norm =  9.331887584483649  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  9.331887584483649\n",
      "    Found minimum norm =  9.331328514296596  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  9.331328514296596\n",
      "    Found minimum norm =  9.330287656603408  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.010351562500000001   minimal norm  9.330287656603408\n",
      "    Found minimum norm =  9.331209166559274  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0001953125   minimal norm  9.331209166559274\n",
      "    Found minimum norm =  9.33210544960758  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  9.33210544960758\n",
      "    Found minimum norm =  9.33035614769248  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0029296875   minimal norm  9.33035614769248\n",
      "    Found minimum norm =  9.331306655909179  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.331306655909179\n",
      "    Found minimum norm =  9.331396560080893  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  9.331396560080893\n",
      "    Found minimum norm =  9.322970181206738  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.009179687500000002   minimal norm  9.322970181206738\n",
      "    Found minimum norm =  9.333104479566241  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.333104479566241\n",
      "    Found minimum norm =  9.33177507154491  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  9.33177507154491\n",
      "    Found minimum norm =  9.248126484178524  for s =  0.0419921875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0419921875   minimal norm  9.248126484178524\n",
      "    Found minimum norm =  9.331391640369086  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.331391640369086\n",
      "    Found minimum norm =  9.33281611473859  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.33281611473859\n",
      "    Found minimum norm =  9.331239490869207  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  9.331239490869207\n",
      "    Found minimum norm =  9.330555002964342  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0041015625   minimal norm  9.330555002964342\n",
      "    Found minimum norm =  9.332705862331885  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  9.332705862331885\n",
      "    Found minimum norm =  9.331695293866108  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  9.331695293866108\n",
      "    Found minimum norm =  9.328477130215166  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0076171875   minimal norm  9.328477130215166\n",
      "    Found minimum norm =  9.310383805204909  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0181640625   minimal norm  9.310383805204909\n",
      "    Found minimum norm =  9.311243964446485  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0166015625   minimal norm  9.311243964446485\n",
      "    Found minimum norm =  9.33127752149234  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  9.33127752149234\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.331608427517466  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  9.331608427517466\n",
      "    Found minimum norm =  9.321268212551436  for s =  0.0251953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0251953125   minimal norm  9.321268212551436\n",
      "    Found minimum norm =  9.331720917274435  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  9.331720917274435\n",
      "    Found minimum norm =  9.331002881380538  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0017578125   minimal norm  9.331002881380538\n",
      "    Found minimum norm =  9.312772550216257  for s =  0.046289062500000006\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.046289062500000006   minimal norm  9.312772550216257\n",
      "    Found minimum norm =  9.330267723177563  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0060546875   minimal norm  9.330267723177563\n",
      "    Found minimum norm =  9.331170315886135  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  9.331170315886135\n",
      "    Found minimum norm =  9.195601530733144  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0498046875   minimal norm  9.195601530733144\n",
      "    Found minimum norm =  9.331444607414015  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  9.331444607414015\n",
      "    Found minimum norm =  9.3280277141218  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0119140625   minimal norm  9.3280277141218\n",
      "    Found minimum norm =  9.270041428547719  for s =  0.031835937499999994\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.031835937499999994   minimal norm  9.270041428547719\n",
      "    Found minimum norm =  9.327407439401712  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0072265625   minimal norm  9.327407439401712\n",
      "    Found minimum norm =  9.329835987366796  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0068359375   minimal norm  9.329835987366796\n",
      "    Found minimum norm =  9.331171789831021  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  9.331171789831021\n",
      "    Found minimum norm =  9.166219566631367  for s =  0.0037109375\n",
      "Found that canonical is better because  9.166219566631367 9.192627303250374\n",
      "    Found minimum norm =  9.166219566631367  for s =  0.0037109375\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  18\n",
      "    Found minimum norm =  9.166613409872705  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  9.166613409872705\n",
      "    Found minimum norm =  9.152146504865362  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0146484375   minimal norm  9.152146504865362\n",
      "    Found minimum norm =  9.161443181495278  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0107421875   minimal norm  9.161443181495278\n",
      "    Found minimum norm =  9.166743273844274  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  9.166743273844274\n",
      "    Found minimum norm =  9.164119104813683  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0060546875   minimal norm  9.164119104813683\n",
      "    Found minimum norm =  9.166918046921621  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.166918046921621\n",
      "    Found minimum norm =  9.166737931609736  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  9.166737931609736\n",
      "    Found minimum norm =  9.125705753269614  for s =  0.032617187500000006\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.032617187500000006   minimal norm  9.125705753269614\n",
      "    Found minimum norm =  9.16520532135437  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0041015625   minimal norm  9.16520532135437\n",
      "    Found minimum norm =  9.166605609555146  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  9.166605609555146\n",
      "    Found minimum norm =  9.166525343747983  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  9.166525343747983\n",
      "    Found minimum norm =  9.164830973502363  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0068359375   minimal norm  9.164830973502363\n",
      "    Found minimum norm =  9.166785268290656  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  9.166785268290656\n",
      "    Found minimum norm =  9.166116652069489  for s =  0.0013671875000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0013671875000000001   minimal norm  9.166116652069489\n",
      "    Found minimum norm =  9.165220005999437  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0052734375   minimal norm  9.165220005999437\n",
      "    Found minimum norm =  9.166451345485118  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  9.166451345485118\n",
      "    Found minimum norm =  9.166232650471965  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  9.166232650471965\n",
      "    Found minimum norm =  9.16687797940974  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  9.16687797940974\n",
      "    Found minimum norm =  9.166677153597702  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.166677153597702\n",
      "    Found minimum norm =  9.166377776938715  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  9.166377776938715\n",
      "    Found minimum norm =  9.166655130306928  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  9.166655130306928\n",
      "    Found minimum norm =  9.166116429364783  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0017578125   minimal norm  9.166116429364783\n",
      "    Found minimum norm =  9.154873583098476  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.03574218750000001   minimal norm  9.154873583098476\n",
      "    Found minimum norm =  9.166601173151415  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  9.166601173151415\n",
      "    Found minimum norm =  9.166593576784495  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  9.166593576784495\n",
      "    Found minimum norm =  9.163770738370356  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0095703125   minimal norm  9.163770738370356\n",
      "    Found minimum norm =  9.16622083690239  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  9.16622083690239\n",
      "    Found minimum norm =  9.166465101512943  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  9.166465101512943\n",
      "    Found minimum norm =  9.160932913077815  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0119140625   minimal norm  9.160932913077815\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.166297821703575  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  9.166297821703575\n",
      "    Found minimum norm =  9.166559658076013  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  9.166559658076013\n",
      "    Found minimum norm =  9.161706530494266  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0212890625   minimal norm  9.161706530494266\n",
      "    Found minimum norm =  9.161543170099693  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0087890625   minimal norm  9.161543170099693\n",
      "    Found minimum norm =  9.166730686479463  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  9.166730686479463\n",
      "    Found minimum norm =  9.16658696212776  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.16658696212776\n",
      "    Found minimum norm =  9.162709283212852  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.010351562500000001   minimal norm  9.162709283212852\n",
      "    Found minimum norm =  9.166703059457157  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.166703059457157\n",
      "    Found minimum norm =  9.139736394043636  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.024804687500000002   minimal norm  9.139736394043636\n",
      "    Found minimum norm =  9.163552091092388  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0115234375   minimal norm  9.163552091092388\n",
      "    Found minimum norm =  9.166735409788103  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  9.166735409788103\n",
      "    Found minimum norm =  9.166764380554252  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.166764380554252\n",
      "    Found minimum norm =  9.162561542614295  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0095703125   minimal norm  9.162561542614295\n",
      "    Found minimum norm =  9.165787814645574  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0044921875000000005   minimal norm  9.165787814645574\n",
      "    Found minimum norm =  9.166769682279579  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  9.166769682279579\n",
      "    Found minimum norm =  9.163726415143863  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0072265625   minimal norm  9.163726415143863\n",
      "    Found minimum norm =  9.166933788775735  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  9.166933788775735\n",
      "    Found minimum norm =  9.166571632450152  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  9.166571632450152\n",
      "    Found minimum norm =  9.166282353747215  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  9.166282353747215\n",
      "    Found minimum norm =  9.166641774453602  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  9.166641774453602\n",
      "    Found minimum norm =  9.157266455571238  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0162109375   minimal norm  9.157266455571238\n",
      "    Found minimum norm =  9.165477317469888  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0076171875   minimal norm  9.165477317469888\n",
      "    Found minimum norm =  9.166491807889559  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  9.166491807889559\n",
      "    Found minimum norm =  9.16416809142824  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0087890625   minimal norm  9.16416809142824\n",
      "    Found minimum norm =  9.166814491401198  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  9.166814491401198\n",
      "    Found minimum norm =  9.16660078751727  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  9.16660078751727\n",
      "    Found minimum norm =  9.134845460488147  for s =  0.07714843750000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.07714843750000001   minimal norm  9.134845460488147\n",
      "    Found minimum norm =  9.164346361859979  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0076171875   minimal norm  9.164346361859979\n",
      "    Found minimum norm =  9.166603189846523  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  9.166603189846523\n",
      "    Found minimum norm =  9.166514243874982  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  9.166514243874982\n",
      "    Found minimum norm =  9.166257224320427  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  9.166257224320427\n",
      "    Found minimum norm =  9.166623577279426  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  9.166623577279426\n",
      "    Found minimum norm =  9.16329419313345  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0107421875   minimal norm  9.16329419313345\n",
      "    Found minimum norm =  9.166001054676268  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0052734375   minimal norm  9.166001054676268\n",
      "    Found minimum norm =  9.166251354115927  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0001953125   minimal norm  9.166251354115927\n",
      "    Found minimum norm =  9.158282744598989  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0107421875   minimal norm  9.158282744598989\n",
      "    Found minimum norm =  9.166822876342026  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  9.166822876342026\n",
      "    Found minimum norm =  9.166756541685539  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  9.166756541685539\n",
      "    Found minimum norm =  9.151167370894926  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.020507812500000003   minimal norm  9.151167370894926\n",
      "    Found minimum norm =  9.166784510473613  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  9.166784510473613\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.16634525966092  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  9.16634525966092\n",
      "    Found minimum norm =  9.162977953272252  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0119140625   minimal norm  9.162977953272252\n",
      "    Found minimum norm =  9.163351115159978  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0076171875   minimal norm  9.163351115159978\n",
      "    Found minimum norm =  9.16679682834627  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  9.16679682834627\n",
      "    Found minimum norm =  9.156211041128238  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0146484375   minimal norm  9.156211041128238\n",
      "    Found minimum norm =  9.152966301433608  for s =  0.025585937500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.025585937500000003   minimal norm  9.152966301433608\n",
      "    Found minimum norm =  9.166647546682276  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  9.166647546682276\n",
      "    Found minimum norm =  9.164177569843293  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0064453125000000005   minimal norm  9.164177569843293\n",
      "    Found minimum norm =  9.16726703809324  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  9.16726703809324\n",
      "    Found minimum norm =  9.166658538207459  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  9.166658538207459\n",
      "    Found minimum norm =  9.002591577372467  for s =  0.07089843750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.07089843750000001   minimal norm  9.002591577372467\n",
      "    Found minimum norm =  9.16672585132256  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  9.16672585132256\n",
      "    Found minimum norm =  9.166225030632429  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  9.166225030632429\n",
      "    Found minimum norm =  9.166345036428522  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  9.166345036428522\n",
      "    Found minimum norm =  9.166498377381336  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  9.166498377381336\n",
      "    Found minimum norm =  9.14901592720762  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.026367187500000003   minimal norm  9.14901592720762\n",
      "    Found minimum norm =  9.164442431418035  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0060546875   minimal norm  9.164442431418035\n",
      "    Found minimum norm =  9.166475848724891  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  9.166475848724891\n",
      "    Found minimum norm =  9.166318757677015  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  9.166318757677015\n",
      "    Found minimum norm =  9.165210563666871  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0064453125000000005   minimal norm  9.165210563666871\n",
      "    Found minimum norm =  9.16678710325004  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  9.16678710325004\n",
      "    Found minimum norm =  9.166481402497306  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  9.166481402497306\n",
      "    Found minimum norm =  9.158725625842326  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.08964843750000001   minimal norm  9.158725625842326\n",
      "    Found minimum norm =  9.166704236967643  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  9.166704236967643\n",
      "    Found minimum norm =  9.16633531482988  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  9.16633531482988\n",
      "    Found minimum norm =  9.164047863373002  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.026757812500000002   minimal norm  9.164047863373002\n",
      "    Found minimum norm =  9.166305014192131  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0001953125   minimal norm  9.166305014192131\n",
      "    Found minimum norm =  9.166772636159836  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  9.166772636159836\n",
      "    Found minimum norm =  9.164110122319816  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0060546875   minimal norm  9.164110122319816\n",
      "    Found minimum norm =  9.166402729290125  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  9.166402729290125\n",
      "    Found minimum norm =  9.166333870534855  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  9.166333870534855\n",
      "    Found minimum norm =  9.148905238882275  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0181640625   minimal norm  9.148905238882275\n",
      "    Found minimum norm =  9.167710829816636  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  9.167710829816636\n",
      "    Found minimum norm =  9.166654300840149  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  9.166654300840149\n",
      "    Found minimum norm =  9.074995903098223  for s =  0.059179687499999994\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.059179687499999994   minimal norm  9.074995903098223\n",
      "    Found minimum norm =  9.16639322147555  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  9.16639322147555\n",
      "    Found minimum norm =  9.167427682817632  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  9.167427682817632\n",
      "    Found minimum norm =  9.165650520872072  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0037109375   minimal norm  9.165650520872072\n",
      "    Found minimum norm =  9.166203149249181  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0009765625   minimal norm  9.166203149249181\n",
      "    Found minimum norm =  9.167328251801482  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  9.167328251801482\n",
      "    Found minimum norm =  9.166628289760174  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  9.166628289760174\n",
      "    Found minimum norm =  9.162547389035893  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.012304687500000001   minimal norm  9.162547389035893\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  9.137566131198591  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0244140625   minimal norm  9.137566131198591\n",
      "    Found minimum norm =  9.135588898860536  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0271484375   minimal norm  9.135588898860536\n",
      "    Found minimum norm =  9.165784507477259  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0025390625000000005   minimal norm  9.165784507477259\n",
      "    Found minimum norm =  9.166613532034125  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  9.166613532034125\n",
      "    Found minimum norm =  9.161259871079055  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.022460937500000003   minimal norm  9.161259871079055\n",
      "    Found minimum norm =  9.166568882837817  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  9.166568882837817\n",
      "    Found minimum norm =  9.166152062904507  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0017578125   minimal norm  9.166152062904507\n",
      "    Found minimum norm =  9.125147426301295  for s =  0.09238281250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.09238281250000001   minimal norm  9.125147426301295\n",
      "    Found minimum norm =  9.166023782562364  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0029296875   minimal norm  9.166023782562364\n",
      "    Found minimum norm =  9.164323678043532  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.005664062500000001   minimal norm  9.164323678043532\n",
      "    Found minimum norm =  8.956836891781565  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.08222656250000002   minimal norm  8.956836891781565\n",
      "    Found minimum norm =  9.166515374002898  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  9.166515374002898\n",
      "    Found minimum norm =  9.16522187468613  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0064453125000000005   minimal norm  9.16522187468613\n",
      "    Found minimum norm =  9.080770074282572  for s =  0.0509765625\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0509765625   minimal norm  9.080770074282572\n",
      "    Found minimum norm =  9.156362907138046  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0138671875   minimal norm  9.156362907138046\n",
      "    Found minimum norm =  9.165391149391672  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0052734375   minimal norm  9.165391149391672\n",
      "    Found minimum norm =  9.166219566631367  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  9.166219566631367\n",
      "    Found minimum norm =  9.040389743884115  for s =  0.0041015625\n",
      "Found that canonical is worse because  9.040389743884115 8.956836891781565\n",
      "    Found minimum norm =  8.956836891781565  for s =  0.08222656250000002\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n",
      "Flow step  19\n",
      "    Found minimum norm =  8.95800271804829  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  8.95800271804829\n",
      "    Found minimum norm =  8.912679875590861  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.017773437500000003   minimal norm  8.912679875590861\n",
      "    Found minimum norm =  8.950832029103005  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0107421875   minimal norm  8.950832029103005\n",
      "    Found minimum norm =  8.957495526900928  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  8.957495526900928\n",
      "    Found minimum norm =  8.930752186313306  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0138671875   minimal norm  8.930752186313306\n",
      "    Found minimum norm =  8.958278948482207  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  8.958278948482207\n",
      "    Found minimum norm =  8.9574423789973  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  8.9574423789973\n",
      "    Found minimum norm =  8.919467908395598  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0275390625   minimal norm  8.919467908395598\n",
      "    Found minimum norm =  8.934348145776978  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0126953125   minimal norm  8.934348145776978\n",
      "    Found minimum norm =  8.9580143309022  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  8.9580143309022\n",
      "    Found minimum norm =  8.957214948981665  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  8.957214948981665\n",
      "    Found minimum norm =  8.947549950115649  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.015039062499999999   minimal norm  8.947549950115649\n",
      "    Found minimum norm =  8.9581516725677  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  8.9581516725677\n",
      "    Found minimum norm =  8.93698703564717  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.012304687500000001   minimal norm  8.93698703564717\n",
      "    Found minimum norm =  8.954151104910977  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0076171875   minimal norm  8.954151104910977\n",
      "    Found minimum norm =  8.957148636666282  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  8.957148636666282\n",
      "    Found minimum norm =  8.934774027710098  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0134765625   minimal norm  8.934774027710098\n",
      "    Found minimum norm =  8.958226712595897  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  8.958226712595897\n",
      "    Found minimum norm =  8.95737352076397  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  8.95737352076397\n",
      "    Found minimum norm =  8.956925026116052  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  8.956925026116052\n",
      "    Found minimum norm =  8.958035683076673  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  8.958035683076673\n",
      "    Found minimum norm =  8.936114489477372  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0138671875   minimal norm  8.936114489477372\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  8.941935076836117  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.026367187500000003   minimal norm  8.941935076836117\n",
      "    Found minimum norm =  8.957235807888484  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0001953125   minimal norm  8.957235807888484\n",
      "    Found minimum norm =  8.958020402608438  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  8.958020402608438\n",
      "    Found minimum norm =  8.927113864028444  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0166015625   minimal norm  8.927113864028444\n",
      "    Found minimum norm =  8.955519132203047  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.008398437500000001   minimal norm  8.955519132203047\n",
      "    Found minimum norm =  8.95722083680159  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  8.95722083680159\n",
      "    Found minimum norm =  8.925591991411483  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0166015625   minimal norm  8.925591991411483\n",
      "    Found minimum norm =  8.957694660184197  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  8.957694660184197\n",
      "    Found minimum norm =  8.957267117243589  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  8.957267117243589\n",
      "    Found minimum norm =  8.947435003539141  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0232421875   minimal norm  8.947435003539141\n",
      "    Found minimum norm =  8.927202269208781  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0146484375   minimal norm  8.927202269208781\n",
      "    Found minimum norm =  8.958194206356234  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0001953125   minimal norm  8.958194206356234\n",
      "    Found minimum norm =  8.957288687497265  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  8.957288687497265\n",
      "    Found minimum norm =  8.949093452066947  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0138671875   minimal norm  8.949093452066947\n",
      "    Found minimum norm =  8.958126708828614  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  8.958126708828614\n",
      "    Found minimum norm =  8.902519367666494  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.020898437500000002   minimal norm  8.902519367666494\n",
      "    Found minimum norm =  8.953371826373816  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.009960937500000003   minimal norm  8.953371826373816\n",
      "    Found minimum norm =  8.957419543139677  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0001953125   minimal norm  8.957419543139677\n",
      "    Found minimum norm =  8.958155715899434  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  8.958155715899434\n",
      "    Found minimum norm =  8.922769693050181  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0166015625   minimal norm  8.922769693050181\n",
      "    Found minimum norm =  8.95477873893536  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0080078125   minimal norm  8.95477873893536\n",
      "    Found minimum norm =  8.957507289123784  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  8.957507289123784\n",
      "    Found minimum norm =  8.928243364616682  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.015039062499999999   minimal norm  8.928243364616682\n",
      "    Found minimum norm =  8.9583491115492  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0001953125   minimal norm  8.9583491115492\n",
      "    Found minimum norm =  8.957226201310998  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  8.957226201310998\n",
      "    Found minimum norm =  8.956843875762674  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0001953125   minimal norm  8.956843875762674\n",
      "    Found minimum norm =  8.95803701479191  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  8.95803701479191\n",
      "    Found minimum norm =  8.913388966283925  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.019726562500000003   minimal norm  8.913388966283925\n",
      "    Found minimum norm =  8.953385871787365  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.012304687500000001   minimal norm  8.953385871787365\n",
      "    Found minimum norm =  8.957184279880408  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0001953125   minimal norm  8.957184279880408\n",
      "    Found minimum norm =  8.924864721227749  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0173828125   minimal norm  8.924864721227749\n",
      "    Found minimum norm =  8.958195324102116  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  8.958195324102116\n",
      "    Found minimum norm =  8.957298296821605  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  8.957298296821605\n",
      "    Found minimum norm =  8.941845338507788  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0353515625   minimal norm  8.941845338507788\n",
      "    Found minimum norm =  8.927502297656016  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0162109375   minimal norm  8.927502297656016\n",
      "    Found minimum norm =  8.958022130976829  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  8.958022130976829\n",
      "    Found minimum norm =  8.957222134812998  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  8.957222134812998\n",
      "    Found minimum norm =  8.955751392025244  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0119140625   minimal norm  8.955751392025244\n",
      "    Found minimum norm =  8.95802757228147  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  8.95802757228147\n",
      "    Found minimum norm =  8.923915193298926  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.017773437500000003   minimal norm  8.923915193298926\n",
      "    Found minimum norm =  8.954173442563405  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.013085937500000002   minimal norm  8.954173442563405\n",
      "    Found minimum norm =  8.956910983597103  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0001953125   minimal norm  8.956910983597103\n",
      "    Found minimum norm =  8.916847031986032  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0162109375   minimal norm  8.916847031986032\n",
      "    Found minimum norm =  8.958248977953685  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  8.958248977953685\n",
      "    Found minimum norm =  8.957493287502132  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0001953125   minimal norm  8.957493287502132\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  8.942439973195144  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.018945312500000002   minimal norm  8.942439973195144\n",
      "    Found minimum norm =  8.958124436453158  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  8.958124436453158\n",
      "    Found minimum norm =  8.94061188255577  for s =  0.011132812500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.011132812500000002   minimal norm  8.94061188255577\n",
      "    Found minimum norm =  8.955032886752576  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0072265625   minimal norm  8.955032886752576\n",
      "    Found minimum norm =  8.956815573331323  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0005859375000000001   minimal norm  8.956815573331323\n",
      "    Found minimum norm =  8.95830889466592  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  8.95830889466592\n",
      "    Found minimum norm =  8.920778410455648  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0162109375   minimal norm  8.920778410455648\n",
      "    Found minimum norm =  8.930529249888288  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0306640625   minimal norm  8.930529249888288\n",
      "    Found minimum norm =  8.957146645673307  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0001953125   minimal norm  8.957146645673307\n",
      "    Found minimum norm =  8.927137019607304  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0146484375   minimal norm  8.927137019607304\n",
      "    Found minimum norm =  8.958736377092258  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  8.958736377092258\n",
      "    Found minimum norm =  8.957286678901943  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  8.957286678901943\n",
      "    Found minimum norm =  8.78783616218537  for s =  0.0693359375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0693359375   minimal norm  8.78783616218537\n",
      "    Found minimum norm =  8.958113590132369  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  8.958113590132369\n",
      "    Found minimum norm =  8.934271141669562  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.014257812500000001   minimal norm  8.934271141669562\n",
      "    Found minimum norm =  8.956912804463725  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  8.956912804463725\n",
      "    Found minimum norm =  8.957177948155055  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  8.957177948155055\n",
      "    Found minimum norm =  8.92231127459721  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0181640625   minimal norm  8.92231127459721\n",
      "    Found minimum norm =  8.957623970245347  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  8.957623970245347\n",
      "    Found minimum norm =  8.957052321141557  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  8.957052321141557\n",
      "    Found minimum norm =  8.954796492142718  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.03886718750000001   minimal norm  8.954796492142718\n",
      "    Found minimum norm =  8.918302501901383  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.018554687500000003   minimal norm  8.918302501901383\n",
      "    Found minimum norm =  8.958192178962552  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  8.958192178962552\n",
      "    Found minimum norm =  8.957196335367165  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0001953125   minimal norm  8.957196335367165\n",
      "    Found minimum norm =  8.956915296173959  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0001953125   minimal norm  8.956915296173959\n",
      "    Found minimum norm =  8.958135024015753  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  8.958135024015753\n",
      "    Found minimum norm =  8.936044080627594  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0138671875   minimal norm  8.936044080627594\n",
      "    Found minimum norm =  8.954817589038282  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0181640625   minimal norm  8.954817589038282\n",
      "    Found minimum norm =  8.956941935938836  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0001953125   minimal norm  8.956941935938836\n",
      "    Found minimum norm =  8.958175092458944  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  8.958175092458944\n",
      "    Found minimum norm =  8.918035316451911  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0166015625   minimal norm  8.918035316451911\n",
      "    Found minimum norm =  8.9570489929557  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0001953125   minimal norm  8.9570489929557\n",
      "    Found minimum norm =  8.956936659919624  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  8.956936659919624\n",
      "    Found minimum norm =  8.879103357020762  for s =  0.0236328125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0236328125   minimal norm  8.879103357020762\n",
      "    Found minimum norm =  8.959000253032661  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  8.959000253032661\n",
      "    Found minimum norm =  8.957342809952047  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0001953125   minimal norm  8.957342809952047\n",
      "    Found minimum norm =  8.896978819717267  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.04550781250000001   minimal norm  8.896978819717267\n",
      "    Found minimum norm =  8.93006671013029  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0138671875   minimal norm  8.93006671013029\n",
      "    Found minimum norm =  8.95852488199009  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0001953125   minimal norm  8.95852488199009\n",
      "    Found minimum norm =  8.956163012489576  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0037109375   minimal norm  8.956163012489576\n",
      "    Found minimum norm =  8.952908112886188  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.013085937500000002   minimal norm  8.952908112886188\n",
      "    Found minimum norm =  8.958503996940332  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  8.958503996940332\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  8.937717713116802  for s =  0.0119140625\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0119140625   minimal norm  8.937717713116802\n",
      "    Found minimum norm =  8.952684840894559  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.012304687500000001   minimal norm  8.952684840894559\n",
      "    Found minimum norm =  8.92748367829832  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0244140625   minimal norm  8.92748367829832\n",
      "    Found minimum norm =  8.903030808667353  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.020898437500000002   minimal norm  8.903030808667353\n",
      "    Found minimum norm =  8.95776633470744  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  8.95776633470744\n",
      "    Found minimum norm =  8.95731949893008  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0001953125   minimal norm  8.95731949893008\n",
      "    Found minimum norm =  8.955043866850316  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0115234375   minimal norm  8.955043866850316\n",
      "    Found minimum norm =  8.958278968636085  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  8.958278968636085\n",
      "    Found minimum norm =  8.949085158496155  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.008398437500000001   minimal norm  8.949085158496155\n",
      "    Found minimum norm =  8.87961372160998  for s =  0.08457031250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.08457031250000001   minimal norm  8.87961372160998\n",
      "    Found minimum norm =  8.952501384472539  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.012304687500000001   minimal norm  8.952501384472539\n",
      "    Found minimum norm =  8.957912310212343  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  8.957912310212343\n",
      "    Found minimum norm =  8.923864305611366  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.016992187500000002   minimal norm  8.923864305611366\n",
      "    Found minimum norm =  8.95718288502256  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0001953125   minimal norm  8.95718288502256\n",
      "    Found minimum norm =  8.956995788439082  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0001953125   minimal norm  8.956995788439082\n",
      "    Found minimum norm =  8.916376461923669  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.018945312500000002   minimal norm  8.916376461923669\n",
      "    Found minimum norm =  8.957861651825842  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0001953125   minimal norm  8.957861651825842\n",
      "    Found minimum norm =  8.954768810563692  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0080078125   minimal norm  8.954768810563692\n",
      "    Found minimum norm =  8.956836891781565  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  8.956836891781565\n",
      "    Found minimum norm =  8.815821278661348  for s =  0.0029296875\n",
      "Found that canonical is worse because  8.815821278661348 8.78783616218537\n",
      "    Found minimum norm =  8.78783616218537  for s =  0.0693359375\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n"
     ]
    },
    {
     "data": {
      "image/png": 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KjnwN4qW1dEtE3CKyWkQeCd8eJyJPiciW8L9VCfb7PyLyloi8KSK/FZHCoUw+kT+v3s0Ztz3LZ/8BZ9z2LH9evTsbwyillFJKKaVUxhlHO2sJZwzMal/PjJIQtz67i3c8E+0HnRkj4c5Cscu5oo+luIwkX9/AjiRaL2mUy+OlW+nW6PlnYIPj9peAZ4wxs4Bnwrf7EJE64HPAImPMfOy0xWvTHD+hP6/eza0PrWN3axcg7G7t4taH1mmwRymllFJKKTUiOOuHmFDIbgsdCuFqP8AnT5tGuc+Nf+pJmLIJ4Cvo3TEYtP+NfWOpQYa8oMGe0UUAcbmS+hpuKY8oIlOAdwF3O+6+Arg3/P29wJUJdvcARSLiAYpJotp8qm5/YhNdgb6/QF2BELc/sSnTQymllFJKKZVxlmV4u6WdP7zWzPef3pzr6ahcs0LRmjyu9gPMPLKOigIX6w50ESoZh/EURrfDsrcTd5wsEg0y5IxmR41W+ZvRk06Nnu8DXwDKHPfVGmP2Ahhj9opITexOxpjdIvJdYCfQBTxpjHky3gAicjNwM0BtbS3Lly9PenJ2Jk/8+1M5Tjo6OjqyPsZAYw3n+EqpzNLfX6WUGrsOdfSwprm1z1d7t52ZUV7o4ZPnzKTQq28Ux7pI4WWsEN5D2zmxbBx7rWIonUF9aCME/NGgEMQJLjjq96RTJFgLCw+NFmgehSJF0/NQSoEeEbkMaDHGrBKRpSnuW4Wd+TMdaAX+ICIfNsb8KnZbY8xdwF0AixYtMkuXJj9U3Ypn4wZ76iqLSOU46Vi+fHnWxxhorOEcXymVWfr7q5RSY0N3IMRbe446gjpHaD5sv3Z1CTROLOeyEyazsL6SpqmVzJxQituVgTbAamSLycaRnqO4Q34onUFP0GC8xQhAT/wPvZVSWSCCa5R03ToDuFxELgUKgXIR+RWwX0QmhbN5JgEtcfY9H3jHGHMAQEQeAk4H+gV6huKWixq59aF1fZZvFXnd3HJRYyaHUUoppZRSakDGGN452NknU2fD3qMEQnah3UkVhTTVV/LhU6fRVF/JgikVFPu0Ka6Kr08miL8H8fdQH9qI8RbTXT0DX3cb7v2b+y/RimTyWKHe2j1pLOPSjJTM0Os4etg1evLz55fSXxJjzK3ArQDhjJ5/NcZ8WERuB64Hbgv/+3Cc3XcCS0SkGHvp1nnAa2nPPIErF9YBdq2e3a3HAOGfzzsuer9SSimllFLZcKTTz5pdrazZaQd11u5qpfVYAIBin5sFdRXceOZ0FtZXsXBqJbXlWWlAq0axaActsIM1AT8C+LrbsIoqODL5ZMZ17sbVtq93pzhBnT5vTocQ/FFDk69BApWk0bJ0awC3AQ+IyE3YAZ1rAERkMnC3MeZSY8xKEfkj8DoQBFYTXp6VaVcurOPKhXX89k+P8LVVLnYlqNujlFJKKaVUOvxBi/V7j7Jm55Fots72Q8cAEIHZNWVcNG8iTVMraaqvZHZtmS7BUkPibKEuxtgZIVYIerpw79/Mkckn89XHN/Pdy+ZQfGR30sEccffNMElqHkPhqBU0ljkze/I1WDBaGSuEMSYDRxJcefqzSzvQY4xZDiwPf38IO0Mndps9wKWO218DvpbumKkq88IVJ07mwVW7ueWiOVQUeYdraKWUUkopNUoYY9h5+BhrmltZHc7WWb/nKP6QBUBNWQFN9ZW875R6muorOWFKJaUFugRLDV2/IIAVgiAYQLy+PgWax3Xu5ruXzcEYw7GGJZQc2IgEezAB/4DHjR5juDJ7NMjThwZ5hp+43IhkIPAu+fvzG/V/ga4/vYE/rNrFH15r5mNnzcj1dJRSSimlVJ5r6wqwNqYL1uFO+81yodfFgroKrj99Gk3hJViTKgoz86ZBqWQ4a+04uNr2UXxkN93Tl3CwK0iRrwSXsexuXHFEgz2RWjHhorImMkY8mo2TNZrZM/IIgsszOooxjzjz6ypY3DCOe1/ezkfPmK4ps0oppZRSKioQsti4t501zUdYHQ7qbDvQGX38uJpSzp1TQ1O9vQSrcWIZXrcrhzNWY4m43PGL9lohrKC/X2BAXG6KWjZS5yuhvWwKxVWCb/daO2vHCmH83b0BBWe9H4hm/ojXFz/Yo0GIrEr4s1b5awzU6Mlr15/ewGd+8zrPbmzhgnm1uZ6OUkoppZTKAWMMu4509cnUeXN3Gz1BewnW+FIfTfWVvGdhHU31VZxQX0F5oS79V/kh2YwPCfbgMhbFVYIEuzFuLxLeH48XsdyYOEGifsePzd5JkEmkMitfAwcqHg305NSFx9cyqaKQe156RwM9SimllFJjRHt3gDd2tfWprXOwowcAn8fF/MnlfOjUaTRNrWRhfSVTqop0CZbKO86ivc5gTKKgjAn4IeC3M3ncXqyiClzd7XaHruJyMBam7aCd4RMEXC67ZklknIC/X0AnmmkSGQt6x3MGiEZCB688Xn6mBZpHGOktZp5vxkSgx+t28eEl07j9iU1s3t/O7NqyXE9JKaWUUkplUDBksWl/u52pEw7qvH2gg0hjlRnjSzh71vhoF6w5E8vxeXQJlho5+gRTYgMVVkxBZewiywK4utsJVjfQbnxUtm1HjrUivsL+x01mbOdYSTyWl0bAHDXIMzKIZvTk3gcWT+UHz2zh3pe28+2rFuR6OkoppZRSagj2tnVFs3TW7Gxl3e42ugL2G7iqYi9N9ZVcdsJkmqZWcuKUCiqL87NgplJpiQR7BsqgCWcAEfDTSQEbDh5jSaG9jEs8voEDHskEQ/I4M2a00MyePKc1enJvXImPK5sm89Dru/nCRXOoKNb11koppZRSI0FnTzC6BGtN8xHWNLey/2h4CZbbxdzJ5bw/3Np84dRKpo4r1iVYatTps3wqIjaTxxF4Mf5uuyZPcTnlre+wpNCLVVKNVVSB5/B2u027s1aPM3CTKIDk3Ma5rQZ8skILNOc/tyc/Qyr5Oassuf70Bh54bRcPvNbMx8/WVutKKaWUUvkmZBm2tLRHl1+taW5l8/52rPASrGnVxSyZUR3tgjVvcjkFnlH8BigUALd+QKlSZ6wQYrnBWPZyLcAqqgBxYTyFCN1IJgI0GuRRY5SIIHna1XtMBXqOn1zB4ul2q/Ubz9RW60oppZRSubb/aHfvEqzmI6zb1Uan337jWFHk5cT6Si48fiIL6ys5sb6ScSVjZAnWnjWw4g7Y/Tp8ZqV2O1JxMzqMI7vGWcg3sr0J+jFtBxFfIeLx4Tm8HeMpxCqrRbpacQUP9c/QCX8ftwuXGnZaoDm/5Wv26JgK9AB89PQGPvXr13lmw34uPH5irqejlFJKKTVmdPlDrNvdFl1+tWZnK3vaugHwuIS5k8p5z0lTokuwpo8vydsX0VlhhWDTo7DiTtjxInhLYOGHIXAMCrSZiEpOdLlPpJOWM5ATxM7k6WrFFeiK22bdeZw+IjWBRkJnrVFIgzz5yZWnySNjLtBzwbxaJlcUcs9L2zXQo5RSSimVJZZl2Hqgg9XNvQWTN+1vJxRegzWlqoiTplVxYzioc/zkCgq9Y/SNTPdRWP0rWPkTaN0BFVPhwm/bQZ6iylzPTuWxAYM0kUyQYO/9JuhHrBCu4CFM0A+W1Ru8SSZw4ywAHc8Ax9GMlMzQ65hHBF26lS88bhcfOa2B/3x8I5v2tdM4UT8dUUoppZQaqgPtPX2KJb/R3EZ7j/0Os6zAw4n1lXzqnJk0hZdgTSgryPGM88Dhd+CVu+D1+8HfDvVL4MJvQuO7wD3mXqYrB2NM6m/oXW7E7caEQn2CLeLprfEkjmycSDDo7XFNHDwWYInZhunqGHxMZ2ZPojbvcUTGE7cbE/Anf15DIF5fv+sx0g17kEczuBISNNCTV649pZ7vP72Ze17aznfeo63WlVJKKaVS0R0I8daeNkdtnVZ2HekCwO0SGmvLeHfTZJrqKzlpaiUzxpfmbXr7sDMGdrxk19/Z9CiIC46/CpZ8CupOzvXs1FjjcnOkK8juo92Y6lLEWODvGXy/gYI9SY6b0n7pBBs060VlmwhutyvXs4hrTAZ6qkp8XLWwjj+t3sUXL26ksniMFPVTSimllEqRZRneOdTZpwvWhr1HCYaXYE2uKKRpaiXXnTaNpvoqFtRVUOTTN1j9BP3w1kN2gGfvWiiqgjM+D4s/DuWTcz07lWfsbj4p/h6FCyjjctuZLAF/4oLKjro9p1hbWVRdSktJPVXVbgp2rwWInwkTW/Mn1Zo9kSLPXh+kktmTTjApzvVQaYhce83siUszevLM9ac38LtXm/n9q8184pyZuZ6OUkoppVReONzpt5df7WxldXMra5tbOdptL8Eq8bk5YUolHz97hl0wub6SmvLCHM84z3Uegtd+Aa/+DDr2w/jZcNn34IRrwVec69mpUS5uQeUYpqsDMRZV1W4k5CdYPhH3sSMQaB/8zX0k2JPim38TcgQPhiFwYEIhDVSojBPRYsx5Z+6kcpbMGMd9L+/gpjOn48nTlCullFJKqWzpCYZYv+doNFNnTXMrOw4dA8AlMLu2jEsXTAp3wariuJpS3Hn6ojbvtGyws3feeACC3TDzPLjiDph5Lrj0dadKTUr1eqwQBrs+DTBoJou43ODvoWD3WoLlE2krnEClFcTV1Q6e8NtFf5wW7JG5OTt3pVjUWdxujON2ojGGJNJuPnI9NNCTHr1ucUmePp2P2UAPwA2nT+eTv1rF0xtauHi+duBSSiml1OhljGHHoWPRgM7q5lY27DmKP2QBUFteQFN9JdeeMpWm+kpOmFJBScGYfqmYOsuCrc/Ayz+Gbc+BpxBOvBZO/RTUzMn17FSWiUg9cB8wEbCAu4wxPxCRccDvgQZgO/A+Y8yRlI6dzjKuyPfOAMogwRT3sSNUWkEIBTGl1Yi/AzEGkygzKF4L9zTmGC2aHJlvFoIKkeOPxgLNKndE8vPDjzH91/v8uTXUVRZxz0vvaKBHKaWUUqNK6zF/n0ydtc2tHDkWAKDI62bBlAo+ekYDTfWVNE2tZFJFUY5nPIL5O2Ht7+z26Ac3Q+lEOPercPJHoaQ617NTwycI/Isx5nURKQNWichTwA3AM8aY20TkS8CXgC+mevBIJkoqmT2JChLHyxAyoRAE2nF1tWNKqzHeAiTkx4T8iNvddzsHcbsxkdo7aQSk4s4xG8GeyPHcKc5RqQREBLcnP1N6xnSgx+N2cd1p0/jOYxvZsPcocyeV53pKSimllFIp8wctNu4LL8EKF03edrATsGsIHDehlPPn1tI0tZKm+koaa8t02XomtO22a++89kvoboVJTfCen8G8K8GjzT7GGmPMXmBv+Pt2EdkA1AFXAEvDm90LLCeNQE9abbUTtD+Pe6xI0MXjsTN5gt10TJhLgcvg3bEqutSqzzEjBY8dxzRWCIIB8HgHnbOxQkjkX68PI5Jc168hMAH/0DqGqV5a90iLMeer959Sz/ee3sy9L23ntveekOvpKKWUUkoNyBjDriNdrI4GdY7w5p6j+IP2EqzxpfYSrPeePCW6BKus0JvjWY8yu1bZ9XfW/xmMBXPeBUs+A1OX2JE1NeaJSAOwEFgJ1IaDQBhj9opITYJ9bgZuBpg6qXaYZhqfGIOxghS4DBLojgZkItkwsdk70bo3ljX0ccMBmOgY2cru0fbraqgEXHn6nD/mAz2VxT6uWjiFh17fxRcvnkNViX76opRSSqn8cbQ7wFpHps7aXa0c7LCLqxZ4XCyoq+C6JdOi2Tp1lUV5WzNgRAsFYeNfYcWd0LwSfGWw+BNw6s1Q1ZDr2ak8IiKlwIPA540xR5P9fTTG3AXcBbBo/hwzyOZJS7WQM/4QJpy9492xyl6W5e8GX2E0+wbL6ttaPRiwgzP+bvB4cRWWRJdzRUgky815nzNYFC4aLV5fb4FmepeG9REvkyTVgFCcmkXOaxW3Nf0YzlyJa4y3Xhc0oyev3XB6A799ZSe/e7WZTy3VVutKKaWUyo1gyGLjvvY+tXW2HujAhN/yzZhQwtmzJ7CwvpKm+irmTCrDq0uwsqurFV6/D165C9qa7aDOxbdB04egUJf9q75ExIsd5Pm1Meah8N37RWRSOJtnEtCSqfEGrNszUGAi2aCFy21n8vgKkeJyLG8xEgphgr2dvMTthpJyO7utg+ibfnHFCdCkEAiIZPPE1gRKeKx0ggyRYE/4ejivYzKt6ZXDmLw+krFAj4j8ArgMaDHGzA/fl3Yhdw30AI0Tyzh9ZjX3v7ydj5+lrdaVUkoplX3GGPa0dUeXX61pbmXd7ja6A/bSh3ElPprqK7n8xMk01Vdy4pRKKop1CdawObTVLq68+tcQ6IRpZ9oBnsZLdMmHikvs1J2fAxuMMf/jeOgvwPXAbeF/H876ZBztziXe/ZHvYzNioG/GjdsNbvsYlqcQq6AEd89RxLGNEcF4CkFcSGGwX8ZO77KuOIGAOHPo1x0rnnSCComyTmKCPbHSKjKdzjxGstF0LqkQcGUuo+ce4EfYnfsivkSahdw10BN2w+kN3Hz/Kp7esJ+L50/K9XSUUkopNcp09AR5Y1e4tXl4GdaBdrvoqM/t4vi6cj6w2G5tvrC+ivpxugRr2BkD2/8OL98Bmx8HlwcWXA1LPgWTTsz17FT+OwP4CLBORNaE7/sydoDnARG5CdgJXJOpAfsUQHbcTrikKfb+AVqjO1uQGyuEhEK4/R0Ed28DK4R7Qp0dRAqCy9jF301BMVhB6OnCBAPhcVzx5xhnTGdtnoytXUs0VuxjCYI9GQ3yOOehS8FGPAFc7sz8nTbGvBCu7eWUdiF3DfSEnTe3lilVRfzyxe0a6FFKKaXUkIQsw+b97X26YG1uaY8uwWqoLuaMmdXh1uZVzJ1URoFHs0RyJtANbz5o19/Zvw6Kq+HsW+CUj0FZboviqpHDGPMPING7vvOGcy4piRdwcGbshGvymKDfzuSxQojHh6mcBMEe5FibvY3LnbF3l9Hiz47MpKwHRbRAs0pVahk940XkNcftu8J1uQaSVCH3eDTQE+Z2Cdef1sC3H93A+j1HmTdZ11wrpZRSKjn72rpZ03wk2glr3e42jvntNyUVRV6a6iu5eP5Eu2DylEpt/pAvOlrg1Z/Daz+HzgNQMw8u/yEsuAa8RbmenVJJGzDrJFEGifP+AQIp0c5XYe4JdZjKSbzin8Dc8UWUd6yMHk+cGUCe9Jaaxsv4iS3QnLQ0CjQPWPcok+IUg1YjTwo1eg4aYxZlcy5OGuhxeN+iev7nKbvV+n9era3WlVJKKdXfMX+Qdbva+hRM3tvWDYDXLcybVM41J08Jd8GqoqG6WJdg5Zt96+zsnXV/gJAfZl1kL8+asVTbo6vRK1EwId6ypdgAhLNIMSCBLuaOL6KEHigdhwS7IdhbnyfTQZJorZ50OmulKG4R6WwZpD6QyneS7b/vaRdy10CPQ0Wxl/ecVMcfV+3ii5fMYZx+2qaUUkqNaZZlePtAB2t2ttrZOs2tbN7fTsiy12DVjytiUcM4ewlWfSXHTy6n0Kup/3nJsmDLE/Dyj+06PN5iOOk6OPWTMH5WrmenVNb0KSacKKDgCDiYoB8Jt1fv0x7d7ca43BDwQ1c75TtXQuk4rNIJuDoPIRyDoON4EalmrYTn2Gfew5zZ4wz2DFtmz2gN9ozW88L+XCCDxZjjSbuQuwZ6YtxwegO/XrmT3726k08vPS7X01FKKaXUMGpp747W1FnT3Mobu9ro6LHfuZQVemiqr+T8uTPtLlj1lYwvLcjxjNWgejpgzW9g5Z1weBuU18H5X7eDPMXjcj07pbJuwOLHsSLBFccSJmOFIBiAknKMpxCXc3lTsBtX5yG7tbrbB/4eu9NXpGOWFUr9Tf4AAZaEXbiSOWaKAaesB3icRnN9oFEa5InIYHv132IXXh4vIruArzGEQu4a6Ikxq7aMM46r5v6Xd3DzWTO01bpSSik1SnUHQry5216CFamts7u1C7Br982ZWMYVTZNZOLWKpvpKZowvyfYndyqTWnfCK3fBqvugpw3qFsHVX4G5l4Nb29Qr1U9s163YjBpjgYTfG0WyNIJBO5PH7evdBzAej50BFOe4fWRiKdZoyRgZDecwxoiAz5OZeIEx5gMJHkqrkLsGeuK44fTpfPy+13hy/X4uXaAduJRSSqmRzrIM2w52hjN1jrCmuZWNe9sJhpdg1VUW0VRfyQ2nN9A0tZL5kyso8o3ST1dHM2Og+RVYcQds+Kt937zLYclnoP6U3M5NqVwZKBAS77Hwfb1BHgvj74YOEF8PpqgMPEQ7cBEE/D0YK4TV3ooUFOJyuTEeD3h9YCzEGEzA33/8OIWiU14ylWy2Tpz6Q6mM1SfwpRQgCO48/QBIAz1xnDunhvpxRdzz4nYN9CillFIj0KGOnj7Fktc2t3K0216CVVrg4YQpFdx89oxwe/NKasoKczxjNSShAKx/2A7w7F4FhRVw2mdg8c1QWZ/r2SmVW8kEPxLcF63R4/E6AiTB/vu43HaR5oJCxFcIBcVgBRErhEmjWG1KAZV0gi9p1N8ZtM6RGnsEDfSMJJFW69/62wbe3N3G/LqKXE9JKaWUUgl0B0Ks33u0T22dnYePAeASmF1bxrtOmMTC+iqaplYyc0Jp3r4wUyk6dhhW3QOv/Aza98C4mXDpd+HED0BBaa5np9TIFwwA4Cos6b2vx17iGs1wsUJ2TR6PB5fLDQXFhEon4O44gNXVgRQWY0QGzohxFn1OMXAjbndvPaBkOFvApzqWt3eJmhqCUdJWXtBAz4hzzaJ6/vtJu9X67decmOvpKKWUUgowxrD90DF7+VU4sLN+71ECIXsJ1sTyQprqK/ngqVNpqq9kQV0FJQX6cmfUObDZLq685rcQ7ILp58Bl34NZF4JL6ysqlTEeu56VMyhiwsEf8fTWujKhkB1w8XjACuLuOEBoz1ZCRw7gm3G8HQgKBjCezBU5jgZbYlqvJxvASWceCdu8a5ZPakbJtRIBjwZ6RpaKIi/vPbmOB17bxZcumUO1dtVQSimlht2RTj9rdrVGgzprd7XSesx+k1Hsc7OgroIbz5zOwvpKmuqrmFihS7BGLWNg23Pw8h3w9lPgLoATroEln4ba43M9O6VGpWhwZ7AAihWyCy97fYgVwurqIHTkAKEjLZjgbLttuxVCLHfqS60GqCMUGTt6XzY5x3S2Q8/CuGOmHtAID5CJSMaKMWeaBnoGcP1pDfxqxU5+92ozn1mmrdaVUkqpbPIHLTbsPdqnts47BzsB+1OzWTWlXDivlqb6KhZOrWRWTal2xxwLAl3wxgOw4k44sAFKamDpl2HRjVA6IdezU2pMMVaof9Zc5M16uDOXEUEKi/HNOB4TnI3VeRTp7kSKy9KrvZOgjlCfYzm+TytAMsBYziVqzvHjfp8hYyLIAyM6yAORpVv5+TpEAz0DmFVbxlmzxtut1s+egVdfTCqllFIZYYyh+XAXq8MdsNY0t/LWnqP4gxYAE8oKaKqv5OqTp7CwvpIFUyooK9SW2GNK+z549W547Rdw7BDULoAr74T57wWPZlorlY/E2MtojYhdz8blRro7MQE/1qF9uErKcRWXZX7gER4wUCOX1ugZoW44vYGb7n2NJ97ax2UnTM71dJRSSqkRqa0rwNqYLliHOu1Wu4VeFwvqKrj+tGk0hQsmT64oRNLo1KJGgT1r7OydNx+0u/s0XmIvz2o4007tUkplTNL1bDx2EWJnS/IoZ5eucAt1Y4XsmjxWCCkuwzq0j/1PPsX4hfMomLc4uclFlkUNx/Ke8Fji9fUr7OxcvpYXmTYjfLnTaCLadWvkWtZYw7TqYu55cbsGepRSSqkkBEIWm/a1s7q5lcff6OGbq5az9UBn9PGZE0pY2lhD09RKFtZX0jixTLNmxzorBJsetQM8O14EXymccpPdHr16Zq5np9SoJS538h2QUgguiMttF1623IjLjauknPEL5+E562reNuOYEdyDtO4dPHASDsBEgktZDbRE6gwlOM9Bxx6uTlIa5MkbgmigZ6RyuYTrTmvgm4+s11brSimlVAxjDLtbu+xMnXDB5HW72+gJL8Eq88HiGeO4sqmOpqmVnDClkooiXYKlwrqPwupfwcqfQOsOqJgKF34bFn4YiipzPTulcsaEl0ClLI1sD3H3ZqwklEb7c2cQyVVcRsG8xbxtxvHfy7fyw4un4m7dm9wEhzOwMYSxom3eU6UZOiOaO08zTTXQk4RrFk3hv5/cxD0vbee72mpdKaXUGNbeHeCNXW2saW5ldTiwc7CjBwCfx8X8yeV86NRp0Wydt9euZNmyU3I8a5V3Dr8Dr9wFr98P/naoXwIXfhMa3wVufXmqVNpLV9MIGJiAP+GypUybEdzDDy+aQrsU4p52KuX714G/Z9D9nMunnLfzSdrXUYM8I5YI2nVrJCsv9HL1yVP43SvNfOmSOYzXVutKKaXGgGDIYvP+jnBdHbto8paWDiIfNE8fX8JZs8bTVF/JwqmVzJlY3u8Fz9Y8/aRL5YAxsOMlWHGHvUxLXHD8VbDkU1B3cq5np9TYZoUgnNmTzQwTad2Lu3Uv3mmn0h0yGG8xIi7o6cr+0qfhWlqlxgwR8OjSrZHtutMauO/lHfzulZ189txZuZ6OUkoplXF727qiy69WN7eyblcbXQH7BXFlsZem+kouXTCJpvpKmuorqSz25XjGakQI+uGtP8GKH8PetVBUBWd8HhZ/HMq1/qFS+SKakeJ2R2vV9MugGSgIlESAKHKc0v3rKPEWc6z6OAp72nDt3YDLa/9NidbJiXO8uIWRkwzgRJeoxdk2Y5lCkWsWyewJF6ceTfKmKHUe0Bo9o8BxNaWcPXsC96/YwSfOmalFI5VSSo1onT3B6BKsSLbO/qN2+rzXLcybXMH7T6mPBnWmVRdrFyyVms5Ddmv0V38GHfth/Gy47HtwwrXgK8717JRS8UQKEoMdrIjz+ED7Js3fg4iLwp42JHAMKanEhPzR9uwkCiQ4gj99Ag5JjG1CIcTdN5AVkY3AhQmFRmUWkQZ5+tJAzyjw0dMb+Og9r/L4m/t494n6CZRSSqmRIWQZ3m7p4PldAZ546A1W72xl8/52rPDr6anjijl1enV0Cda8yeUUePSFnEpTywZ7edYbD0CwG2aeB1fcATPPBZd+UKZU3rNCSCS7JtUARSqBjZ4uXHs3ICWVhIqrcHcewnR39o4dr7CxI/PGhLNnkn6bHQlieTx2sCebwZfIPNO9jiOAZvZoe/VR45zZE2ioLuael7ZroEcppVTeajnazerm1mgnrDd2tdLpt19klhfu5cT6Si6cV0vT1EpOnFJJtdaeU0NlWbD1GXj5x7DtOfAUwonXwqmfgpo5uZ6dUioVrt7uUdFARbJLkFIJaLjcuLw+TMiPu/MQofJJmHEFeA5tg4C/77GcAYVUlpPFm18QBu1plqE6Rc7rmGqh63wuPA35O6/hJGigZ1RwuYTrT2/g639dzxu7WjlhSmWup6SUUmqM6/KHWLe7Lbr8as3OVva0dQN2gcC5k8p5z0lTaKqvxL93M++/dBmuPH1RokYgfyes/Z3dHv3gZiidCOd+FU7+KJRU53p2SqkhMiK9y6kgK4WaxRhMdydmXAFBb3HvG1RHICFaXyed9uWxBpt/JgMYViizx1N5RUS069ZocfXJU/juE3ar9f95X1Oup6OUUmoMsSzDtoMd0bbma5pb2bivnVB4DVZdZRELp1VxY3gJ1vGTKyj09r7AXL78bQ3yqMxo223X3nntl9DdCpOa4D0/g3lXgkeLdCs1ojmDE/4eTLiwMNiBloEKNKeUheKoByReH55D2+w3p5EOXAXFSLAHq6cLLLd9n8djZ+QE/SnV53HO0wQD4HL1L+bsPH/n/UMNbMUWaE4ys2cktJRXmtEzapQVerlmUT2/WbmTWy+Zy4QyTXdXSimVHQc7eqJdsNY0t7J2Vyvt3UEAygo8nFBfwSfPmUFTfRVN9ZX6N0ll365Vdv2d9X8GY8Gcd8GSz8DUJXaxAqXU6OAM9jgLNNNbH6fPtjGPpzVOZHlYJKBDOKMo5njidtuBn3S43OBKEGQZzjo6WWxhr4aP1ugZZa47bRr3vLSd376yk8+dp63WlVJKDV13IMRbe9r6ZOvsOtIF2C8iGmvLePeJk+2CyfWVzJxQqtk5aniEgrDxr7DiTmheCb4yWPwJOPVmqGrI9eyUUtnizNIJF94Vrw8DfQogO4vyxg3yDJQZ43IsyYoEfQrsrnxGXIi4eoMiVggx4XGcmTFJBk0iy7/AF82ykcH2dW4XR0oFiSPHGqhAc5xrNdRMnuEsmjzWCjRrjZ5RZsaEUpY2TuBXK3bwyXNm5u26PKWUUvnJGMM7BzujAZ01za1s2HuUQMj+zHRSRSFN9ZV8ZMk0Fk6tYn5dOcU+/ZOthllXK7x+H7xyF7Q120Gdi/8Tmj4IheW5np1SeUtE3MBrwG5jzGUiMg74PdAAbAfeZ4w5krsZpsa5xClaI8cRIEn6jX28oEqcYIcEe+xMHnFhHdpLqO0QntqpiMfbO75zKVSShaJj6/sMOu8kzi+doEafa+gYp8/3Gcz4Gc7Ay1gK8gCgGT2jzw2nN3DDL1/lsTf3ckVTXa6no5RSKo8d6fSzprk12glrbXMrbV0BAIp9bk6YUsFNZ86ItjevLS/M8YzVmHZoq11cefWvIdAJ086ES/4TZl+sRUWVSs4/AxuASET0S8AzxpjbRORL4dtfzNXkUuZy2+3I0ymE7AxYuNxJBTCsni47YOByE2o7ROjQPjvQ4wjqGCtkd+xyLhlNIjsnul0aMpnZA46spEQSnE86WTPDXednrGT2CILXlZ9JHxroSdPZsyYwY3wJ97y0XQM9SimlonqCIdbvOdonW2fHoWMAuARm15ZxyfyJNNVX0jS1klk1ZXn7aZAaQ4yB7X+Hl++AzY+DywMLroYln4JJJ+Z6dkqNGCIyBXgX8G3g/4bvvgJYGv7+XmA5+RboGShIYoX6LzNKtrBwTLbKgAGHcEApWn/HCuGpnYqndirdM08HoGjHq9Egggn447ZdH9Qg2yWaY8YzewJ++xp6ff3byQ8wR2eNpGTHHe6gSzpzHIkEcOfpSzgN9KQp0mr9a395izXNrTTVV+Z6SkoppYaZMYadh4/Z2Trh2jrr9xzFH7IAqCkroKm+kvefUk9TfSUnTKmktED/9Ko8EuiGNx+06+/sXwfF1XD2LXDKx6CsNtezU2ok+j7wBaDMcV+tMWYvgDFmr4jUxNtRRG4GbgaYOinPf/9iCjRnlGNJk3i8iNeHYH9Ygsvdpz5QSsubBqgVlKsMFBMKgYidMZVgbiqPCXlbL1FfbQ7Be0+ewu1PbOLel7bT9P6mXE9HKaVUlrUdC7BmV2u4E9YR1u5q43CnnUZe6HVxQl0lN5zRYGfr1FcyqaIQ0U5EKh91tMBrv4BX74bOA1AzDy7/ISy4BrxFuZ6dUiOSiFwGtBhjVonI0lT3N8bcBdwFsGj+nKzFUeJKJ8CQqZbhzvbsoVC045YYe7mYCfgp3PFqtBtX5P64S7ESzcGx/CxupkkwgHFZdmApZo79ts0kKwT+EMZXAF4f9HQlDjrFqYuU7hyHI7A1FtrD2xk9+fk6TwM9Q1Ba4OGaRVP41Yod3HrpnFxPRyml8p6I/BvwtfDNZ4wxl8Q8LsBqYB4QAm4yxvxmeGdp8wctNu4LL8EKZ+tsO9gZniccN6GU8+bU0DTVDuo01pbhcefnOm2lovatgxU/gXUPQMgPsy6yl2fNWKrt0ZUaujOAy0XkUqAQKBeRXwH7RWRSOJtnEtCS01lmUiYyeyLBisi/QWeHLJuxQgh28Mfq6sTqPIqrpBzxePvum8Q8+wQcHMEI+xnQG31IPOHuWEF/UsGXIQkG7UCUyx2/E5ijIHYmspiGe2nVaAzyRLjy9G+nBnqG6LrTGvjli9v5zcqdNOnVVEqphETEC/wHcD52N5KDIvJuY8xfHZt9FagDCoAbsT/ZzHqgxxjDriNdferqvLm7jZ6gvQRrfKmPpvpK3nNSHU31VZxQX0F5oXeQoyqVJywLtjwBL//YrsPjLYaTroNTPwnjZ+V6dkqNGsaYW4FbAcIZPf9qjPmwiNwOXA/cFv734VzNMW0DtUgfKPCQIDAxULaHCfrBsjOFYtubm1AIq/Mo1pEWpKDQDvREav9YFrhciYMKkVbs4TlFCjon5PEgxmD89nGzmgWTROv1eAWxndcxdn6R2wMuC7Os9INI8cQ5xlCu2WA1nYCcLncbNTV6RKQQeAH7BbgH+KMx5mvJtgwUkV8AkZTG+UOben6YPr6EuRPL+N9ntmAZqFvxLLdc1MiVC7VAs1JKxbgBaDPGPA8gIs8DnwGcgZ5rgd8ZYwzwcxG5U0RONMaszfRkNu1r5y9b/fxqx6usaW7lYIe9BKvA42J+XQUfXjItugRrSlWRLsFSI09PB6z5Day8Ew5vg/I6OP/rdpCneFyuZ6fUWHIb8ICI3ATsBK7J8XzSk+Ibajv4MnBwJJJZ4gxSOIM6uNx2d61IC3UrZGfyFBTi37gKyx+g6KSzEV8heDyY7mOYYMC+HW/OMUudrK5wpq6vECwLq7sT8RXacwgGMWC3dQ8G7H197qF1IRtE9Ji+AggG+2Q7RTOnBgim9LmOkYwkZzv3mPM3OIIpkW3C46Ulw0GXeOfVb6wMtqJPlYjkbTZ3qjkoPcC5xpiO8Cez/xCRx4D3kFzLwHuAHwH3DWHOeeXPq3ez9UAnVvg3b3drF7c+tA5Agz1KKdVXI3DQcXs7cHrMNtXAesftDuAEoE+gR0Tux/7bQ3V1NY888kjKk7ltNezqFCIZ9AvGGc6fAg2lIdyuw8BhaIa1zTGDj2ChUCitazXSxhzrinoO0NDyFFMPPoc3dIwjJTPZNuOz7Ks8BdPqgWdfyvUUlRr1jDHLsbtrYYw5BJyXy/kMWRbfSDuXEcWOKZEW6s76NB4v4vFi+QMEjnVT5HLZgRdxhY9lDT5oNGgQiBZ9jgZSIlkuiYo2A7izFOyJZB1B/0ycSE0kd4LrlcQxYyW89kOVw+DLcBsVGT3hT1g7wje94S9Dki0DjTEviEhDelPNT7c/sSnaXSWiKxDi9ic2aaBHKaX6ivenMHZpf7xt+r1iM8Z8BPgIwKJFi8xll12W8mQWn93Nj/78d3Zblby49SDrDltsaXdxxszxLJ1Tw7LGCUypKk75uPls+fLlLF26dNSPOSYZA82vwIo7YEM4SW7e5bDkM1TVn8LJuZ2dUmosiLy5j7RJT6ZAcySo4fjemakRzeSJ2R4rRNFJZ1PkcmGq67ECPUjHofA2rvjLxbyODBevD+P24XL3tmkXgEg2T2z2i8d+6xsJivSbVybFFmh2tl6P1+oexzKtRIWpB2nXDmQ2OJOlzJ64c8zx0q1RU6NHRNzAKuA44MfGmJUiklTLwBTGiLYWrK2tZfny5WkdJxQKpb1vsna3diW8P5tjd3R09Dt+vPuUUiPDGPn93YhdmyCiAdgbs81B7ELMEaXAm9mYTE15IedO9bJ06Sl0B0Ks2HaI5ZsO8OzGFp7ZaGf5zKop5dw5NSxtrGFRQxXePE3PVWNYKADrH7YDPLtXQWEFnPYZWHwzVNbnenZKqbHE8Ya7T6bLYAGE2GLMcY4Xe7+xQvYSK7cbK9CDq6ed4KF9uMoqe5dtxTChEBLJxDEWYgUBRwAIIBjol/0SN+PFUecnW3V7xBgMVlKt1wcqrpz0HEdCBk6+zVHAPVraqxtjQkCTiFQCfxKRjNfa6dNacNEik+4ngY888kjWP0WsW/Fs3GBPXWVRVseO9wmpfmqq1Mg1Rn5/7wPuEJGzgNeBc4D3x2zzAPAZEfkcdjFmfzbq88Qq9LpZ2mgHdL727nm8c7CT5zYdYPmmFn754nZ++sI2ygo8nDlrPMsaa1jaOIGa8vgvJJUaFscOw6p74JWfQfseGDcTLv0unPgBKCjN9eyUUqNNstkezqycSGbMQJI9Zr8gkGXX5BEX0nGI4KF9+LdvwHfcCbgLS+IfP5INE65/Y4LHoLAYxAXGTh42QTtTR8LvkqNFniPH8vQ2YjBWyG7L7slgVylHAIlw1pDxFdgt5/0D1KSJ3DdQceUE+0XP2fHz6nNfAmkHuRzzSOsYeVCEOWJUZfREGGNaRWQ5cDGjuWXgIG65qJFbH1pHV6D3P1qh18UtFzXmcFZKKZV/jDE9IvJN4Bnsv43PGWP+IiK/Dj/+IeDrwHsBP3Z79Y8P9zxFhBkTSpkxoZSbzpxOZ0+QF98+GA38PPbmPgDm15WHgz41NNVX5u0nOmqUObDZLq685rcQ7ILp58Bl34NZF9rLFZRSKhuSfVOd5HKhtMeOLutyYbqPRYMErrJKfMedQOjAbgLNmymYsyhhZg/+nui3pvuYvX9BkV14ObJ0K3Z8lxs83v7ZMsFAb4v3TIksI4sI9mYemUTL4SIBk4GCJglatqcbpEo7uBVTEDrd/bPaBS0Fo6JGj4hMAALhIE8Rdovc/wT+wkhvGZimSB2e25/YFM3suWBurdbnUUqpOIwx3wC+EXPfhxzfG2DBcM9rICUFHi48fiIXHj8RYwyb9rfz3MYDPLexhTuWb+WHz75NZbGXc2ZPYFljDefMnkBVyQDtWpVKlTGw7Tl4+Q54+ylwF8AJ18CST0Pt8bmenVJKxTVga+whEpcbEwzYhZddLsRXiLuwhEDzZrr3H8Rbd8TuzhUn2OOcl/F3212/wh2qxOPrFxCJW//GyZlFkw2RwIbHM3Ah5gEyXQYMijgzffIgSyYVuQ72iEjeLutPNaNnEnBvuE6PC3jAGPOIiLxMnJaBIjIZuNsYc2n49m+xizaPF5FdwNeMMT/PzKnkzpUL67hyYR3Lly/nJ5sLWN3cSsgy+umuUkqNMiLCnInlzJlYzqeWzqTtWIC/v32A5zYe4PnNLTy8Zg8isLC+kmWNNSybU8O8SeW49O+BSkegC954AFbcCQc2QEkNLP0yLLoRSifkenZKqSyyP/cY2bL9BjxeC/WCOYvw1h/lnV/cT/HEcUz+wHUDziuawRPN2vFAsPeY4nJDuPV6NHsnvJ3L7cZEAk7+7sQZRKkYqGW4vwfjcifO7Elw2xkU65N95BwrRrTtfTBgB9LyIHMm1oCt15OQid8xe+nWkA+TFal23XoDWBjn/rgtA40xe4BLHbc/kMYcR5TrTmvg079+neWbWjhvbm2up6OUUiqLKoq9XHbCZC47YTKWZXhzTxvPbmzhuU0H+J+nN/PfT21mQlkBS2dP4Nw5NZwxazzlhRlO8VajT/s+ePVueO0XcOwQ1C6AK++E+e8FT0GuZ6eUGo1GSTts8RXiskIUTxxHxfRJhGpn4+o4gHQeib9DTIDALoAcc0xXpBiy1We7gY6TknSvfSr7DbS0N8Exkm5VP8a5R1uNHhXfBfNqqS0v4L6Xd2igRymlxhCXSzhhSiUnTKnk8+fP5mBHDy9sPsBzmw7wxFv7+MOqXXhcwqKGqmi2z6yaUiRPXyCoHNizxs7eefNBsILQeCks+RQ0nAn6/0SpMWU4/zZEu06lGmzIdXAoUQaLr5DJH7iOUO1s/rbHcMGM4yhseyka7BioBbmJFEKOyX7pU/8mpsX5kGr0hFvR9+uqNUjHMXwFdhHpnvgdoGOlXYcnksE00JxyLO1zy8Dv2Kgsxqzi87pdfGDxVL7/9BZ2HOpkWnXJ4DsppZQadcaXFvCek6bwnpOmEAxZrG5u5blwts93HtvIdx7baHdobLSzfU6bWU2xT/8sjzlWCDY9agd4drwIvlI45Sa7PXr1zFzPTik1BkRboaf6hj5P3/hHuDoOcMGM4/D2HMWMq8PV3RYtbDxoq3KGqf6LFerNIEohcCbGgAlBJEgX7tCVFbEd1PL85z6sBDJVokdEtgPt2M1IgsaYRUM5nr6izIIPLp7Kj559m1+t2MG/vWterqejlFIqxzxuF6c0jOOUhnF84eI57GvrZvmmFp7b1MKfV+/m1yt34vO4WDKjmmWNdlHnhvH6QcGo1n0UVv8KVv4EWndAxVS48Nuw8MNQVJnr2SmlxpJIJkyk9kuqhjOzJ5VgSOcRCttewoyrwyqpRoI9CN29wZ7Y40Lfujbh7JnhCPZEM3uSPDcT8Ntz9vqireGzKhLsUX0IgjezHS+XGWMOZuJAGujJgpryQi6aP5EHXtvF/72gkSKf/lIopZTqNbGikGsXT+XaxVPpCYZ4bfuRcLZPC1//63q+/tf1TB9fEs32WTx9HAUe/VsyKhzZDit/Cq/fD/52qF8CF34TGt8Fbn1ZppTKnUjwYMA23vECLc4gQCoBn0hwI3asSNvv2McSLHMaeL4uXN1tSLAH3D6My4P4D/UfO86+WQvwJLhWJhRzHQe7plYIAn77PAqKIODPbsBNM3v60aVbY9B1S6bxtzf28te1e3jfKfW5no5SSqk8VeBxc8Zx4znjuPF85bJ57Dx0jOWbW3huYwu/WbmTX764nWKfm9NnjmfZnAksbayhrrIo19NWqTAGdr4ML//YXqYlLjj+Krv+Tt3JuZ6dUkrlVL/gzQDZI32WmTmDPQNlwwSDCN0YlweMZWfpALgHCeTkugZRMiJLvxLV+snCeJrZ45Da0q3xIvKa4/Zdxpi7HLcN8KSIGOCnMY+lTAM9WbJ4+jgaa8u4b8V2rlk0RYttKqWUSsrU6mKuO62B605roMsfYsW2Qzy3qYVnN7bw9Ib9ADTWlrFsTg3LGidw0rQqvJlaIK4yK+iHt/4EK34Me9dCURWc8XlY/HEon5zr2SmlxopUAhaR5UpeH7jd/Wu/DJRdEhlroO1ix8IO0jjbmtstvUOAr+/8nUupHMEGEwrZx/AV2C3IHcutolk5wSDiP4SxQlhth5CiElzO6xL+PtFSrUgQKSNZPvFaqMdrdR5Z0hWuw2OFCy/3m4MVgp4ujK/AXso1nJk9+R4Iy7IUM3oODlJ35wxjzB4RqQGeEpGNxpgX0p2bBnqyRET4yGnT+Mqf32R1cysnTa3K9ZSUUkqNMEU+tx3QmVPD1y83bD3QyfJw0Ofn/9jGT57fSlmhh7NnTWBp4wTOaZxATVlhrqetOg/ZrdFf/Rl07Ifxs+Gy78EJ14KvONezU0qNNWm8GU+UOZPx8RzBnt6ixK7Bj+MMjHh9GGPFr70Ts60AUlSC+Ar7BJf6ZcPEZgy5kq+fk7R4x4tzn7Nu0kCBpmiBZrc7fpAuk3QZV1Sm8jmMMXvC/7aIyJ+AxYAGevLRVQvruO2xjdz/8g4N9CillBoSEeG4mlKOqynlY2fNoL07wItvH4oWdf7bur0ALKiriGb7nDClErdLM0qHTcsGu3vWG7+HYDfMPA+uuANmntv7xkUppUYCZ8AjxYwgSLFjVWy78vB+8Y4R7zHj9iFWEBM81mebWBIOgLhc4Qwilwc70hMj0f7x7s9mVkucAtEDiQZ2CorSK9Cc6rnoMi4AXGSgTbtICeAyxrSHv78Q+MZQjqmBniwqKfDw3pPq+O0rzfzbu+YyvrQg11NSSik1SpQVerl4/kQunj8RYwwb9rbz3Ca7ts+Pnt3C/z6zhXElPs6ZHc72mT0h11MenSwLtj5j19/Z9hx4CuHEa+HUT0HNnFzPTimlhiZBhksikQBMJpY4JTyGy43L68Pq6gQCuCK1dgqLMd3HMP5uO2MnZs7RzBgrFI7vBPFvXo3V3UnBvMX2eMGAnWHk8UWLPJug336uB3C5epeOJSjiPCTOJWQxD/VZtjbQuJECzb4CxJjkM3vSOZcU/3+MNkLG2qvXAn8Kl3vxAL8xxjw+lANqoCfLPnLaNO59eQcPvNbMp5cel+vpKKWUGoVEhHmTy5k3uZzPLDuO1mN+XthykOUbW1i++QB/Wr0bl8DMChdvmbdZ2jiBeZPKtX7cUPiPwdrf2u3RD26G0olw7lfh5I9CSXWuZ6eUUpk3XG/mU63zE/DbdWzEfsedMJvIebzw91Z3J6GODjvA44nZ1h0ucJxgRVhWWZYdcEonYBYp0Oz12Uu5hvPnNtaCPZKZpVvGmG3AiUM/Ui8N9GTZcTVlnD6zml+v2Mknzp6pKfRKKaWyrrLYx+UnTubyEycTsgxv7GrluU0H+OurW7n9iU3c/sQmassLWDq7hmVzJnDGceMpK/TmetojQ9tuu/bOa7+E7laY1ATv+RnMuxI8vhxPTimlsiTJArwJlzdFjhEjlSVexgrZAZnIUiZfIeLx9h7fWLgKijAeX/+xYgovSzgLqGDe4ugxJQh4vNGsmUgGkBQW982McWTdYFm9WT7JinM9okvXgoHwNr2ZQ5G54sxIGky49Toxha4Hm0faxlqAJ0yQjCzdygYN9AyD606bxid/9TrPbmzhgnm1uZ6OUkqpMcTtEhZOrWLh1CpO8u7h+JNP4/nNB3huUwuPvrmX37/WjNctnNIwjmWNduBn5oRSzfaJtWsVrLgD1v/Zrn0w512w5DMwdUnmKjEqpVQ+G2q3pTRq/TiJy41xWb1vqyNZLxAt5Nxb0HmAIEYk4yVyTA9IEKyuTqyjh3BXT8JVXNb3OBBdytXnmEOpv+a4HgmLPTvmGm+/ATm7msVrva41djIiX18CaKBnGJw/t5ZJFYXc9/J2DfQopZTKqQllBVx98hSuPnkKgZDF6zuO8NymAyzf1MK3H93Atx/dwJSqIpY11nDunBqWzKimyDdGXwiGgrDxr3aB5eaV4CuDxZ+AU2+GqoZcz04ppYZNNPMmnWBPJJjh9fULNqS6NEk8XsDOQLW6O+07fYV2Vk7QH87y8YHHY2fhxLYvD58LsRk0Hi/W0UMcevkVqk9b3BvosULgD9mty12eaFaNiQnQpFp8Guh3HaOZROFMocjSLRP0Rx8Xrw8jEj9DJ8FYxgrZrec9HvCH+j2unbOGJl8X7GigZxh43C4+uHgq//3UZrYd6GDGhNJcT0kppZTC63Zx6oxqTp1RzZcumcOe1i6Wb7KzfR58fRf3r9hBgcfFaTOr7WyfxhqmVo+B9uBdrfD6ffDKXdDWbAd1Lv5PaPogFJbnenZKKTXs+gQx0umsBf2zYeJJEEByBlaic/IV9t4Xvj8ajAra2T0Dde7C5e6T2eOunkT1aYvxzlyAVVSFq/1Ab5AlGETcps/2/Y6XIRKelzjPKcyksnzLKRhMXKBZAzxpE8Cdpyk9GugZJtcunsr/PruFX63Yyb+/e16up6OUUkr1M7myiA+eOpUPnjqVnmCIV945zHMb7Wyfr/3lLb7GW8yYUBLN9lnUUEWBZxRl+xzaCit/Cqt/BYFOmHYmXPKfMPtiTW9XSqk40spkSSTV7B5HwAZAYospQ+KixtF9fNGsFldxGa7iMqyiKkxBKbQfiNbgiW0BnxEDdKzqc25xikinM5YB8BVirGGqLj3cxZlzVAw6T+M8GugZLhPKCrhk/iT+sKqZf71oNsU+vfRKKaXyV4HHzVmzJnDWrAn8+7vnsf1gJ8s3tfDcpgPcv2IHP//HO5T43Jxx3HiWzalhaeMEJlUU5XraqTMGtv8dXr4DNj9up+YvuBqWfAomZbQBhlJKjVgDZcakmtmTkDPwEXNfn7HCS7MIBgdtcS4eb9+lVTHLlMTrs+vXhHqP4Wo/AO0H8G9ejRQU4p25wM6Cic2mydSSp4FalA9y7HiZTgOO4++2M3sKiuxizdkMjGT6OiUzXg6WoWWmu3rmabRhGH3ktGn8Ze0eHl6zhw8snprr6SillFJJaxhfwg3jp3PDGdM55g/y8tZDPLephec2HuDJ9fsBmDupnGWNE1g2p4aF9ZV43Pn68gcI9sC6P9r1d/avg+JqOPsWOOVjUKb19JRSyinTy5OSMlAAx5h+RYqdGTexS6vi1eoBeylUtKtVpJtW0A+WhRQUgsuN1XrQrv0TXiqWq5o2Ay5DS1a4bTzYRZr7FWjOllG6PEyEvG1eoYGeYbRoWhVzJpZx38s7uPaU+rz9T6GUUkoNpNjn4by5tZw3txZjDG+3dPDsxhae29TCXS9s447lWykv9HD27AlMMgHmd/QwvrQg19O2dbTAa7+AV++GzgNQMw8u/yEseB94C3M9O6WUymvpBBtSyjqBQWsAmaAf47fChZkdY1iWo/hwYVJ1dEzQjwnaLdSB3mLFLpddq+foYbrWvISvfgaeSQ24CuzMVRMKRdu9R1uyD1WCjJTeIFWCZWgpitTnMQVF9ng9XUM63qDSrOk0lLGGcxmXFmNWiAjXndbAl/+0jtd3HuHkaeNyPSWllFJqSESEWbVlzKot4xPnzORod4AXtxy0s302HeBAu5+733yaE+oqWDbHLui8oK4C13C/Mtr3pp29s+4BCPlh1kX28qwZS/N3gb1SasQRkUrgbmA+dj3gG4FNwO+BBmA78D5jzJHczHBo0nmjnu6b+3j7RbNzXC5MuGOWM+CDyx0uyJw4KNIn4GBZ9jGMnR9kfAVIeEmYGIN4fPjqZ2C1t9Jz4EV8c07GXVYFXh8utxuT6cBFgrby4Gghn6GAiUQCMPEKNGdJykG/dA1jBlG+voTQQM8wu3LhZL7z2Abue3mHBnqUUkqNOuWFXi5ZMIlLFkzCsgz3P/IsR0um8tymFn7wzBa+//QWqkt8nNM4gWWNNZw9awIVxd7BD5wOy4ItT8CKO+CdF8BbDCddB6d+EsbPys6YSqmx7gfA48aYq0XEBxQDXwaeMcbcJiJfAr4EfHHQI+WouGxcSc6lXxDCsV+6AYrY/aLBnuh8wn9DrFA0u8YEA+FCygkyeWKOaQJ+u16Py2N317JC9rIuXyGeSQ30HHiR/a+sZ0r9bCirApfHDiR5fcl1E8uAPkvQkhFz7SPHiDABv71NFgo0J8r8ynhB68Fk+XdIu26pqGKfh6tPnsKvVuzgK++ax4SyPEllV0oppTLM5RKmlbtZunQW/3TeLA53+vn7lgM8t7GF5za28NDru3G7hJOnVrF0jh34mTOxbOhLm3s6YM1vYOWdcHgblNfB+V+3gzzFWfqQJRSwg0llk6BWu2sqNRaJSDlwNnADgDHGD/hF5ApgaXize4HlJBPoyZcgDyQ9l2hL8DgBkExn9uBzRwstA32WUPXJ8hnoeK7eWnImFIJQqF/tH1dBEb45J9tBHiB4cC/uqhp7Hxje7JFUrmEy1z6mQLNYoYxk9iQaL7ZTWqrXLuVgYbZ/NqJLt5TDR5ZM45cvbuf3r+7ks+fqJ4pKKaXGhnElPq5oquOKpjpClmFNc2u4k1cL//X4Jv7r8U1MLC9k2ZwJLG2s4czjxlNSkMJLldZmeOWnsOo+6GmDukVw9Vdg7uXgzkLWkDHQ/Aqs+wO89Sc4dhCOvwquuSfzYymlRoIZwAHglyJyIrAK+Geg1hizF8AYs1dEauLtLCI3AzcDTJ00govCD1fhZpebhO+xkwwkJGxjHtk3/Li7rArKqgge3IvxdxPc+w6uknJc5dXpzz9fRFqvD3QtVEJ5GufRQE8uzJhQylmzxvPrlTv55Dkz87sriVJKKZUFbpdw8rQqTp5Wxb9c2EjL0W6Wbz7A8k0tPLJ2L799pRmvWzh1ejVLw528Zowv6Z/tYwzsehVe/jFs+Kt937zLYclnoP6U7Ey+ZYMd3Fn3B2jdCeIGE4KCCjjv37MzplJqJPAAJwH/ZIxZKSI/wF6mlRRjzF3AXQCLFsw14vUNS92UjItk2UTamWcpaCBud7/W6FEej113ZrCxYwJC8TJGTCgE4WVd7qoagnvfYf3/3s+UM+cx7oprwR/KeKHhAY+X7jK6gVgh6OnC+Arscx2O1utp/P/I1DUWry8jxXUEzehRMT6yZBo337+Kpze0cPH8ibmejlJKKZVTNeWFvG9RPe9bVE8gZPHa9iPRbJ9v/W0D3/rbBqaOK2ZZ4wSWzqnhtGnlFG55xK6/s3sVFFbAaZ+BxTdDZX3mJ9jaDG8+aAd39r8J4oIZy2Dpl+0lW2t/A1f+GMbNyPzYSqmRYhewyxizMnz7j9iBnv0iMimczTMJaBn0SMbED2CMJM4uUlkQbY0eU4cGwOVOIcARs6/jINGglSvSihxwlZQz5cx5FFSV4l//Kp6JU3GVVg7hTPrLSLHldApnG4PB6g2iZTPQ6Pj/MSwduRxMKGR/UJQB+dpJWwM9OXLunBomVxRy/4rtGuhRSimlHLxuF6fNrOa0mdXceulcdh05xvJNdm2fx1/bQPErP2Su50kmymGOFk8ltPQ7VJ12HRSUZnYixw7D+j/DG3+AnS/Z9005BS75L3uJVmmNHfxZ+xs47bMw992ZHV8pNaIYY/aJSLOINBpjNgHnAevDX9cDt4X/fTipA46G5TNDOIeEb/6dBYVDjkBNMBDtxJVUNyxnNollgcsVf7xgAONy23WHAFd5NeOuuBb/+lfZ9fgL1F9xYcYDPQPK0v8LY4XsTB7CrdeHg7PG0nDJYJaZZvSofjxuFx9aMo3bn9jE2y0dHFeT4RenSiml1CgxpaqYD8/s4cMHf4vZ/VskcIxtZYv4ov/TPHB4DuZxF8e9vopl4SVei6aNw+dJc1m0vxM2PWZn7rz9NFhBGD8bln0FFlwN46b3bntwC/zlczBlMZz/Hxk5V6XUiPdPwK/DHbe2AR8FXMADInITsBO4JqkjjYZaKUM4hwELCMfZ1njCRZgtK37r9YGOEy7K3Lf1em+RZ6BvcWl/CM/EqdRfcSEtL7xE96HHmf6xj+IqLkv+BNOVpf8Xfa53wJ/xAs2DjTtsWT0ZzTQT7bql+nv/KfX84Okt/GrFDv7j8uNzPR2llFIqvxgD256Dl++At58CdwFywjWw5NPMqD2e/wQ+ebCTZze2sHxTC/e+tIOf/f0dSgs8nHnc+GhR59rywoHHCQVg23I7uLPhEQh0QtlkWPIpWPA+mLig/1p+/zF44Dpw++CaX2an2LNSasQxxqwBFsV56LyUDpSnbx5TkqE308kGAJyFlY2/O6XxncGGhMd1PGasEK7SSlyllfQceZLWbYdxVdVgPIVI55Gkx81bkQLNbi8wfMHG4V7CNWSSv7+qGujJofGlBVy6YCIPrtrFLRc1ptZZRCmllBqtAl3wxgOw4k44sAFKauxaOItuhNIJfTadPr6Em86czk1nTqezJ8hLWw/x3Ca7ffvjb+0DYN6kcpbNmcC5c2poqq/C7ZL4HbMKK+ysnRPeB1NP79N2t59H/9UuyvzhP0LFlGxeDaXUWGTMyM/mSVD3RlKs/ZJWrRnfIAH+IY7l3K7hxuuZUVXDLesKOWvmeN4tB1M6Vt61DHeO4+8etqVVwxrgydTSLWOQDNX6yTSNLOTYR05r4M9r9vDnNbv50KnTcj0dpZRSKnfa98Grd8Nrv4Bjh6B2AVx5J8x/L3gKBt29pMDDBfNquWBeLcYYNu/v4NmNdkHnnzy/jR8/t5WTi/Zxc9XrnNn9HCXHdoOnEBovsTN3jjsvqXFY/StY82s4+wtw3PkZOHGllBo7TCjUr9vVSOYqLsN47CDPpNICQhXzcLe3QAqZPXmbyTIKfj5ZZ6xczyAuDfTk2ElTKzl+cjn3v7yDDy6emrdVu5VSSqms2bPGzt5580G7Jk7jpfayqYYz086JFhEaJ5bROLGMTzX56FrzEoHVv6e8bROhwy7+EZrPX6x3s7v6fE4f18Cy0hqOd/kYtLLPvjfhb/8C08+BpUl3TVZKqbTkbQAgXeHAgXh9QIJuVyOQdB7h3XKQUMU8ntprOH/6cXi7Xk8qUCIuN8ZKs0X7aKjjNMKJBnpUPCLCdadN44sPruPV7UdYPH1crqeklFJKZZ8Vgk2P2gGeHS+CrxROucluj149c+jHj+mYVQQUTTkFTv8vZO6VVB0tYOrGA2zd1ML3nt7M/zy1mfGlBSxtnMCyxhrOnDWeiqKYujvdR+26PIWV8N67s9o2WCmloDcIEPl+tIi2jh9FmT0A7vYWzp9+HCEDZupJ+Path+5Ou2OXs5hzjNgaQUn/rB3t4UfT/4+RI3+XWGqgJw9cfmId/+/Rjdz38nYN9CillBrduo/aS59W/gRad0DFVLjw27Dww1BUObRjJ9kxywWcUA4nTKnkn8+fxaGOHl7YcoDnNh7gqfX7+eOqXbhdwsnTqjh3Tg3LGmuYXVOC/OWf4Mh2uP6vdmt1pZRS6XFk9kSDPiOcuNzQeQRv1+uYqSexpyPINE8h4urGiNi1iZw79On6NboCXmOGMbp0SyVW5HNzzclTuOel7bQc7aZmsO4gSiml1EhzZDus/Cm8fj/426F+CVz4TWh8F7iH8HIk0jHrjQdg49+S65gVo7q0gKsWTuGqhVMIhizWNLeGCzof4LbHNnLbYxv5XOkz/N/gn9my4F+pm3wqxenPWCmlUpJ2tscIYAJ+u0DzIBkvI4oVwrdvPdM8hYTKJyIl1bgPbCW2ZG+fn2fMzzbVDJ3Rmvk1EoyKpVsiUg/cB0wELOAuY8wPROSbwBXh+1qAG4wxe2L2LQReAArC4/7RGPO1oZ/C6PChJdO4+x/vcN7/PE9Hd5DJlUXcclEjVy6sy/XUlFJKqfQYQ0XrW/C7n9nLtMQFx19lB2HqTh7Sce2OWQ+EO2Yd6u2YteAamHbGwB2zBuBxu1jUMI5FDeO45aI57GvrZt0rz7DsxXtZbk7io6824X39KU6dMY5ljTUsm1PD9PEl6Z+LUkqpXqOl5kx3J+LqRkqqMSJYZROQQBfS3WE/7gzKDHTOo+V6jGajIdADBIF/Mca8LiJlwCoReQq43RjzVQAR+Rzw78AnY/btAc41xnSIiBf4h4g8ZoxZMcRzGBXWNrfiEmjvDgKwu7WLWx9aB6DBHqWUUiNL0G8HYFb8mIV710JRFZzxeVj8cSifnP5xWzbYy7LW/QFadzo6Zl1jd79KpmNWiiZ6jzHxzS9BxWRO/9gf+fV+Y2f7bDrANx5ZzzceWU9DdTFLw0GfJTPGUeDRT1OVUpk3ajN7IoWIR1GBZvH6MCK4D2zFKpvATu8k6sotvLvf7A3yeOzzxeOx32U7zjsSABK3O+nrkbP/D2M6GDVKlm4ZY/YCe8Pft4vIBqDOGLPesVkJ9MtMwxhjgHAIE2/4Kz+bzufA7U9swoq5Gl2BELc/sUkDPUoppUaGzkOw6hfwyt3QsQ/GN7Jp9qdpvPqr4EtzsVNrs92Na90fYP+bdlbQjGWw9Msw9zIoKMvsOThZFvzpk/a53Pg4vrJqTi+D048bz7+9C5oPH2P5phYeXrOHe17azj0vbeeKpsn84NqF2ZuTUkqFjbYCvKOpQLMJhaI1eVz+TurKLVxdbVBQbNePMxb4e+yNg+Gd4gRMRkT9ohH8cxoyw+gI9DiJSAOwEFgZvv1t4DqgDViWYB83sAo4DvixMWZlgu1uBm4GqK2tZfny5WnNMRQKpb1vOjo6OtIeb3drV8L74x0z3lhDGV8plVv6+6tGtJYNdvesN34PwW6YeR5c8WOYeS57X3iBxlSDPDEdswCYcgpc8l/20q/hKoT84vdhyxNw6XfjLjVzuYTth46xYe9RAM6ePYGPnzVjeOamlBqznPVYRpXR1HrdCvVmNPQcszN5CoqxfCVIsAexgtgLXuxtneccDeBZIyjwNWazegwSCg6+WQ6kFegRkVLgQeDzxpijAMaYfwP+TURuBT4L9Ku/Y4wJAU0iUgn8SUTmG2PejLPdXcBdAIsWLTJLly5NZ5o88sgjpLtvOpYvX572eHUrno0b7KmrLIp7zHhjDWV8pVRu6e+vGnEsC7Y+AyvugK3P2suoTrwWTv0U1MxJ/XgDdsx6L4wb5gDK9n/As9+0A0unfKzPQxv2HuVnL2zjL2v3YIDLT5zMx8+awbzJ5cM7R6XUmJWzZVzD8IY+awWaBwqYZDuYYoXACiLBHqzCMsRYuIM90fOLZABBzM/Scb3TzeAalsyvMRnkCRstGT3h+joPAr82xjwUZ5PfAH8jTqAnwhjTKiLLgYuBfoGeseiWixq59aF1dAV6f0mKvG5uuagxh7NSSimlYviPwdrf2u3RD26G0olw7lfh5I9CSXVqx8pAx6ysaN8Pf7zRDi5d/kMQwRjDy9sO8dPnt/H85gMU+9xcd1oDN57ZwJQq7cGllFIqgUgQxFiIFUSMhRFXvyDWiFimNZixltljjP2Vh1LtuiXAz4ENxpj/cdw/yxizJXzzcmBjnH0nAIFwkKcIOB/4z7RnPspE6vD81xMb2dPaTZHXzXfes0Dr8yillMoPR/fAK3fBa7+E7laY1ATv+RnMuxIiBSWTkcWOWRlhheDBm6D7KHzkTwQ9JTz+xh7uemEbb+xqY3ypj1suauTDp06jotibu3kqpRQ5yOyxQsOzlCi8hCma2RPwZ+SYQPxgROS8MnlukXMgXHjZ3wP0RDN5gvt3Ir5C3BXV/ceLzDED13tYW68PdI1Hq1GS0XMG8BFgnYisCd/3ZeAmEWnEbq++g3DHLRGZDNxtjLkUmATcG67T4wIeMMY8MvRTGD2uXFjHlQvr+Nc/rOXJt/bxrhMm5XpKSimlxrrdq+DlO+yaOcaCOZfBkk/D1CWpZdvkoGNWWpZ/B7b/Hf9lP+L320r42b3Ps/PwMWaML+E771nAVQvrKPSOnuKnSqnRY9iWbw3zm3kTCqW/jCtRUCceZ1Alg2J/LpHzEF8h7gmTCVVNw9W+HznWlvxxUgz+DHvR7si1HAPBHhkNgR5jzD+AeK/qHk2w/R7g0vD3b2AXb1aDuHBeLX9ctYtX3jnMGceNz/V0lFJKjTWhIGx8xK6/07wSCsrh1E/a7dGrGpI/Tmsz9Tsfgjv/bfg7ZqVjy9Pwwu28WXs51z02kcOdb7FwaiVfvnQuF8yrxe3KwTIypZRKgjOzZ1jf1KfzZj6VfSL1abw++8MFfwpjRdqTO46T7HjpnFe8rJlIm/Q+LdTD27krqglVTWOrv5iZxVW4Og737jvIPMTtxqR6PXJh1Ad7Rkl7dTU8zpo1gUKviyff2qeBHqWUUsOnqxVW3w8r74K2nXZQ5+L/hKYPQmGShYZjOmbNhNx0zErR7u1bqPzdjewyU7l6x1WcObeST5wzk0XTqpBc1AlSSqk0DGuQx7ncKZU38+m88Q/47eCGrwCCweSO4ex85bwucfbtFyBLY46RJVLRYzmXX4UbM0Uzk8JjuI/uZWZJNa6uNqSoFIkEtsIFqROJHCParSuTRaszZSws4zLGbh6RhzTQk4eKfG7OnjWBJ9fv5z8uP15fYCqllMquQ1th5U9h9a/sgsjTzoRLboPZFyeXxj5Ax6wVx6aw5JIPZP8c0rRuVxt3P7+R6zd9mgrx8/Ds7/DIBedwXE2eZRsppVQKhi2zJ91gTxrjGACvzw74pJKhE8nsGaTYcb9rlkZtHGc9nHjzAPrOpasdV2crUlQKLg/GWEic4r7OY/Zpve4eIUuJR2mwRxglS7fU8Lnw+Ik8uX4/b+4+yoIpFbmejlJKqdHGGNj+d7v+zubHweWxCyIv+RRMOnHw/ZPsmNW9fHm2zyRlxhhe2HKQnz6/lZe2HuIbBb/mJNfbtF72M76w6LJcT08ppYYsJwV4My02OGCFoKcLk6j1eqKMHEdh537HjdwXDCQ+RopBiui1j5MlFC8IJC43YoUwxsIc68AA4ivs3cff3fccHceMtqJ3LFFL+ueehaLacQOMQ8nsGY7C30NlaaBHpeC8OTW4BJ5cv08DPUoppTIn2APr/ggr7oT966C4Gs6+BU75GJTVDrxvvnfMGkQgZPHIG3v46fPb2LivndryAu5atJsL3/wbLP4ElYvel+spKqVURg17Ed4si5t1EwkCpFNMOSaAkO1MqIGOL8ZgABP0Y7UfQYpKcBWWgMdrBxMSLTmD3syeVOsfDfdSv1FnlLRXV8OnqsTH4unjePKt/fzLhY25no5SSqmRruMA07b/Dl79GHQegJp5cPkP7ewbb+HA+46UjlkJdPQE+d0rO/nFP95hT1s3s2tL+e41J3J5fTe+n38U6k6GC7+V62kqpVRG5axAs8OQxo7TWjyybMlYIfCF//aECxJHgx4QPxMkQaAEy+r9kMKy7IyaVGv6xEjU9j7R0rBI+3jxFWK1H+Hoqy9Tevx8XHUz7WVdxsJ0tNnbBkE83r7jOGr6RGsFBQPR8+rX+cs5/zSXVTmPEfk+45lksZlX+RYsMmgxZpW6C+dN5BuPrGf7wU4axpfkejpKKaVGon1v2tk76x5gesgPsy6yl1fNWDpwe/TWZnjzQTu4MxI6ZsXR0t7NvS9t5/6Xd3C0O8ip08fxravms3R2Da5QN/z8Avu8rrkHPL5cT1cppbIil1k9qYwdN0AwUNZJMBgt0CzGQDhYEt0vVpyOVgJ9Ajv9gjwJJHtefYIpsfNKsOxMikooPX4+3vrZWKXVuHra7QLU4eBOXDHzEZc7Wog63lz7dfdKQ7TgNH3bcmfl/1u+BXiiDJKhYswicjHwA8AN3G2MuW0ox9NATx67YF4t33hkPU+u38fNZ8/M9XSUUkqNFJYFW56w26O/8wJ4i+Gk61gpCzn10g8n3i+mYxYwIjpmxdp6oIO7/76NB1ftJmBZXHz8RG4+ewYLp1b1bvTIF2HfOvjgA1A5NXeTVUqpYZLLzJ4hSfQm31Gg2ZBCVkWcoEgkq2WoWS6JxutTgDleC/UIK4SrsARX3Uys0mpMUSV0t2GC/sF/djHHi/tRToYzY8TdN3Mpm2PlrQxk9IiIG/gxcAGwC3hVRP5ijFmf7jE10JPH6scVM29SOU++tV8DPUoppQbX0wFrfgMr74TD26C8Ds7/Opx0HRSPoyteYeQBOmax4L0wbsawn0a6Vu04wl0vbOXJ9fvxul1cs2gKHztrBtNjs2LX/g5evxfO/D8w+6LcTFYppYbZsBZoTkOi5U4DskLJt16PHDdOIedIMeNoQMXx2JADZM4izPEKQTvH8neDx4sUldqZPN1thPY3A+CpmYIJhfoGfSJL2YJ+xBPuSObMbIodI5NBF5djrCSXyo06xmTqPBcDbxtjtgGIyO+AKwAN9IxWFx0/ke8/s5kD7T1MKMvvGghKKaVypLUZXvkprLoPetqgbhFc/RWYezm446R6J9kxaySwLMOzG1v46QtbeXX7ESqKvPzTsuO47vQGxpfG+bvZsgEe+T92C/llXxn+CSullBqaOMELA+AZ2W9to8Egy7KzRIJBTLA3aGN1HrWzgwZawpXGmHGDWGMlGycDTPJdt8aLyGuO23cZY+4Kf18HNDse2wWcOpR5jezfhjHgwuNr+d7Tm3lmw36uXayp5UoppcKMgV2vwss/hg1/te+bdwUs+TTUnxJ3+/K2DfC3v47IjlmxeoIhHl69h5++sJWtBzqpqyzia++ex/sW1VNSkODlTU8HPHA9+Erh6p+DW18GKaXGlnwo0DyYAecVWZbkaCdO5F9/yM7W8XjA35PwEFZPV3ScaHAlFD+LKFKsOdnaPYNyZvck+hlYIbvwsseLuNx4aqZgdR6lZ/0reGqn4qmb2S9DR1xuTNCPiSkXI5FlY3G6i2XiXKLHS2Zp2UBGbOv1lDJ6DhpjFiV4LN6na0Nq56WvcPLcnIll1I8r4sn1GuhRSimFnY2z/mG7/s7uVXaw5vTPwikfh8r6/ts7OmadNAI7ZsVq6wrwm5U7+eWL79DS3sO8SeX84Nom3rVgEh73AIEqY+CRz8OhLXDdw1A2cdjmrJQaO0Tk/wAfw36Ttg74KFAM/B5oALYD7zPGHMnRFIH8XLqVlHBx5j71bpwBh1DIDmwMEgSI2wWL/su6nEWNMxUcSyaQFXtOuNx4aqdidR6l+41/4GuYi6u0st9x+80xku0Up3tZUsGeJAMwQ74u6QRr8iHbyJCpeewCnC/ipgB7hnJADfTkORHhwnkTuX/FDjp6gpQm+pRSKaXU6HbssF1X5pWfwdHdMG4mXPpdOPEDUFDad9sEHbM2TLyKuVfdMiI6ZsXa29bFL1/czm9W7qSjJ8hZs8bz3+87kTOPG48ks8zstV/Y12PZV2D62dmfsFJqzBGROuBzwDxjTJeIPABcC8wDnjHG3CYiXwK+BHwxh1ONGtbMngy08Qb6ds1yZqs4Wq+L1xfdN1aiFue43Jg4f0+iQRHL6t0+Zr8+80qTs4uVMzPHrr/jxVM3k+43/sHuZ19l6ntr+gV6+p1bRILrMeDP3XlN0822Ga4MnUwWzk6RMQYTCGTiUK8Cs0RkOrAb+3njg0M5oEYNRoAL59Xy83+8wwubD3Dpgkm5no5SSqnhdHCL3R597W8hcAymnwOXfQ+Ou6DvUqskOmbtX76cuSMsyLNpXzt3vbCNh9fsxgDvWjCJm8+ewfy6iuQPsmcNPP4lO4PprH/J1lSVUgrs91dFIhLAzuTZA9wKLA0/fi+wnDwJ9AxrZk+ab8YTFpF2LoOKOX404yfcer1PgeJEc7JCEIw/T2cQJu5+6XJ25HIGYRx1eJyt0H0Nc5l2zSTMqVfRZrmp3P8GVk/XoD/H6PVIVbrnlk4ALPLzDAaiy9ayOseMyEwxZmNMUEQ+CzyB3V79F8aYt4ZyTA30jAAnT6tiXImPJ9/ap4EepZQaC4yBbc/ZAZ4tT4K7AE64xq6/U3t873ajqGOWkzGGle8c5qfPb+W5TQco8rr58JJp3HTmdOrHFad2sK5WeOA6KJkAV901ouoQKaVGFmPMbhH5LrAT6AKeNMY8KSK1xpi94W32ikhNvP1F5GbgZoCpk2qHa9qjUyTQIC4woeSzPnIQNIiXRZSIq7QSV2klR42brqBFhUjy3cnI79pMfTizp/KZMZmpdwQYYx4FHs3IwdBAz4jgcbs4b04Nj7+1j0DIwjtQDQKllFIjV6DL7oS14k44sAFKamDpl2HRjVA6wd5mwI5Z18DEE0ZMx6xYIcvwxFv7+OnzW1m7q43qEh//csFsPrxkGlUlvtQPaAw8/Bl7qdtHH4OS6sxPWimlwkSkCrsl8nSgFfiDiHw42f3DHXjuAlg0f86QCrGONmm3Xu/pAq/P/gr4UwrkpB0USWUpkaOINOHW6P3GjZMZU7HvDcpFMJ5CxOVBQoHerJ3YsR3zyUkGVwrXQ1xu8LkxwQBWdyfiK8z/wFTyXbeGlQZ6RogLj5/IH1btYuW2w5w5a3yup6OUUiqT2vfBq3fbdWSOHYLaBXDlnTD/vXaxZGNg50pY98Co6JgVqzsQ4g+rdnH337ex49AxGqqL+daV87n65CkUeofwAu/lH8HGR+Ci70D94sxNWCml4jsfeMcYcwBARB4CTgf2i8ikcDbPJKAll5Mck4zVv1NXtgx1KVcSx4ss1xKXB4zVd+lXDrtRxQ2OxQn4DBpEc7nsxwfqeJbD2jy9MpfRk2ka6Bkhzpo1niKvmyfX79NAj1JKjRZ71tjZO28+aC+7arzUzsxpONPOymnZYGfuvPlHGAUds2Id6fRz/4od3PvSdg51+jlxSgVf+tBJXHj8RNyuIWYl7VwBT30N5r7bvqZKKZV9O4ElIlKMvXTrPOA1oBO4Hrgt/O/DOZvhKOEMFES/T/DGP1KfxxQU2duE26sPZiiZJCllHtFbQ0fc7mhmT29hZn+/Y0W7hoUzeUx3Z7Sujbj7Zj9lPBiSoBC1SRDESRTUGSjYE83s8Xfb4/gSXMdcB3sy13Ur4zTQM0IUet2cPXs8T761n69ffvzgOyillMpPVsiuq7PiDtjxIvhK4ZSbYPHNUD3T7pj14vdh3R/7dMxi6ZdhzrugsDzXZzBkzYeP8fN/vMPvX22mKxDi3Dk13Hz2DE6dPi65DlqD6TwIf/goVE6FK348YpeyKaVGFmPMShH5I/A6dlnf1dhLsUqBB0TkJuxg0DW5m+XIFruEK3Kf3RVr4IAPAb+d1TNYgeYszHPQgE8kSBK57QigiCfcMSvo73ecaCaPx0vo0D5MdyeeupnRfRJm9wwlQBKbORT+XogfvJEEgSESbN+Hx2tn9QQDvVk++SRzXbcyLuVAj4j8ArgMaDHGzA/fdyLwE+wnse3Ah4wxR+PsezHwA+xK0ncbY25Lf+pjT3WJj31Hu5lx66OMKxS+WrGbKxfW5XpaSimlktF9FNb8Glb+BI5sh4qpcOG34aSP2C941v8ZHv5swo5Zo8Gbu9u464Vt/G3dXlwCl59Yx81nz6BxYgY7gVkheOjj9vK2jz1tL3FTSqlhYoz5GvC1mLt7sLN7VIbE7cQ1WAFfK2QHUrw+u0BzPnIGQ8KiGTrBxIERcbkx3Z2E2g7hmTR94DGSyLZJdc7i9SVeFpfMUrIEgSdxhZfbBQO928UeL6dZPZnpupUN6WT03AP8CLjPcd/dwL8aY54XkRuBW4CvOncSETfwY+ACYBfwqoj8xRizPp2JjzV/Xr2bh1bvBuxI76Fuw60PrQPQYI9SSuWzI9th5U/h9fvB3w71S+CCb9hZOluehIduHlUds2IZY/j7lgP89Plt/OPtg5QWeLjpzOl89IwGJlUUZX7AF74LW5+Fd/8AJp2Q+eMrpZTKC/2WMiUTULBCdlFmtxsKilIu0DyUOSajT2YSgMvdJ/Mobv2b8HItT91MO8hjhTD+7miLdnH3BsVigyIJl1glEzyJjO31RecY93xjWtEbK4Q51g4eL67Ckv7bOLncfX+28eY12DyzWbPIjKJAjzHmBRFpiLm7EXgh/P1T2P3fvxqzzWLgbWPMNgAR+R12VXoN9CTh9ic20R3oW9G7KxDi9ic2aaBHKaXyjTGw82V4+cew6VF7+dXxV9nLs7rb7Lo7f/rUqOqYFSsYsvjbur3890vd7Gx/hZqyAr50yRw+eOpUygu92Rl063Ow/DtwwrVw0vXZGUMppdTIZoXsQM9wFmhOUTqZNtElXv5uTHcnwbZDuKtqcFdUJ1xClrCQcCrdyUIJsngSZPcIYJKsr9TneHnKjPKuW28Cl2MXFrsGqI+zTR3Q7Li9Czg13sFE5GbgZoDa2lqWL1+e1qRCoVDa+6ajo6Mja+Ptbo1fNGx3a1d0zGyOr5TKLv39HSWCfrsr1oo7YO8aKKqCM/4ZJp0I2/8Bv7121HXMitXZE+T3rzbz83+8w+7WLiaXCP/13hO4YuFkCjxZfKF2dA88+DGY0AiX/c+oCZgppZTqzzhq18StGTNIoCJaoNlXkHzr9VS6RqUpWtsnGLC7TSWzk6MQMoB4vATbDrHzwb9Rd+4pFC08x17WFlkW5izybFl27R+PL5oBlJKYaxb5uSQMoHk8gAdX5Bz93UhxuX2/P871j9NJLDZoFVuY2/lY9pd1jaKMngRuBP5XRP4d+AsQr7JVvP+nJs59GGPuwi5cxqJFi8zSpUvTmtQjjzxCuvumY/ny5Vkbr27Fs3GDPXWVRdExszm+Uiq79Pd3hOs8BKt+Aa/cDR37YHwjnPpJQOyOWv/43qjrmBXrYEcP9760nfte3kFbV4BTGqr4+uXH49q/nnNPiff5TwaFAvDHGyHQBe+7D3wl2R1PKaVU7kSW88RK4w23GGPX60kmsyfBkqescH4AFOmwlULWi7uqhinnL0EKSwjsehtXRTXiK4w+Lm43eIrtG8c6+n3gNGAgK948wtu6vD67C1iidu/BYG8QKNpCPYQYd/zAgJMjiGOsUNwCzQlbu2eJMcaeRx7KSKDHGLMRuBBARGYD74qz2S76ZvpMAfZkYvyx4JaLGrn1oXV0BXr/s/o8Lm65qDGHs1JKqTGuZYPdHv2N30Ow2w7wjJ9lZ+2s/Mmo7JgV652Dnfzs79v446pdBEIWF86r5eazZ3LytCoAlrdsyP4knv2mvVTuPXfbGT1KKaVGvAHbb7vdfYIJsUuQkm5rHmlj7vH0rWWTRcl24urXvSpeMCpO/Rlxu3FXVOM+8UwCu94meGA3vpJy8Pj6FmL2FIK4EF8wflv6FIM94nZjIkuznMu5PB4IBu3jEfOzCmcRxV3+5RTn52v5u6Nt2PvMK8E+WTHa26uLSI0xpkVEXMBXsDtwxXoVmCUi04HdwLXABzMx/lgQqcNz+xOb2BPO7KmvLNL6PEopNdwsC7Y+Yy/P2vps+E6BonFwcJP9NQo7ZsVavfMIP31+G0+s34fX7eK9J03h42dNZ8aE0uGdyMZH4cUfwKIb4QTtWKyUUqNFvKU5QG/3LIgGHGKLCqfUjtsKQRC7bo+vAIJpBD5SkPC84mwTnV94+2jx40iQK6bQcWQ7u6izhauiGl9JOQeeeAyAmiuuRjzhsUOhcLv5QjAW9HRF94tk+MS9js4lYJExg36wwve53eHgDtEsntifUdxzTHGZlfgK7aVn/m7weONnPOnSreSJyG+BpcB4EdmF3T6wVEQ+E97kIeCX4W0nY7dRv9QYExSRz2IXanYDvzDGvJWBcxgzrlxYFw3sfPmep/jNxk5WbDvEkhnVOZ6ZUkqNAf5jsPa3dqbOwc0xDxooGQ9LPj2qOmbFsizDc5ta+OkL23jlncOUF3r49NKZXH96AzVlhYMfIA2BkEVXIES3P0RXIMSx8L8hy7CwtA3Pnz9p10C66DtZGV8ppVQeitOG3Bn0SblAbiR4FMnsiYyRRVlf/mWF7GBIpEhzyL4t7nAnr8g5u9OszROnsHOfZVRZvo6R1usm6EfIUpOHwZgkspFyJJ2uWx9I8NAP4my7B7jUcftR4NFUx1T9La338NRu4QdPb2HJzRroUUqprDm6B165C1bdA11H+j5WNtkO7Iyyjlmx/EGLh9fs5q4XtrGlpYPJFYV85V1zubxpMm4RugIh3m5pp8tvB2W6AiG6/CG6AyHWNAfY9o937GBN+P7INn1vW9FgjjOwE7Tir9r3EWDlxNupMsA194I3O4EmpZRSuZUwIDJAm+20Cwv7Q3aBZl8h+LuHty5PPLEZKY5ixAkzguK0JK+54mrEV4hVOQnp6YSerujxJPYcncdMsq15dB6R+bncWIWliMeCrvZ+U4w793RqLLncSGFJ4hbqWc+2MXYGVB7KVDFmNcx8buETZ8/gW3/bwCvvHGbx9HG5npJSSo0uu1fBy3fA+j+DFey9v7AC5l05KjtmxbPryDGu+cnL7G3rjt53oKOHb/1tA9/6W5L1d95aD9hxsGKvmyKfm0KvmyLH95VFXorKC6O3C70udh46xivvHKa9p/f6V5f4OKdxAp/r/glV296E9/8axk3P6DkrpZQau8QYjGUXDSaS/ZKHEgV54nUhk/C7funphPaDBPdux109EVdhguYFcQJMyYgGcKwQEgpft/ByOBP0pxwsG7ROUGRu8TK8hstoWbql8seHTp3GT57fxg+e2cyvP7Yk19NRSqmRLxSEjY/Y9XeaV/beP8o7Zg3E53GxePo4LANFXhdFXjeFvnCQJjZoEyeIs+a1lZx79lkU+lz43C5kgKynLn+IF98+yLObWnjizX3sCQeX5teVc25jDcvm1HDilEpcbz0ID/4WTvsszL1suC6FUkqpHMtWW/M+Y0RarxcUZXWcAefgCJj0uy+ROI+J29F23ApFgzxdWzdTUlwGxY4mEUnWt0k0j36ZRj1diNeH5S1C6IbuTownnIWTws8w0rI9do59zi3yWKLMnmwxBms0d91SuVHkc/OJs2fw7Uc38Nr2w7mejlJqjBORa4D/AOYCi40xrzkeuxW4CQgBnzPGPBFn/98DkZZJlUCrMaYpu7MO62qF1ffDyrugbWd4QuGOWQuuGbUds5JRU1bID65dmPb+OwpdVBQnTqFvPnyMZze28OzGFl7edgh/0KLE5+bMWeP55/Nnsayxhppyx7Ksg1vgr/8M9Uvg/P9Ie15KKaVGnkhr7cj3/aT7Rj9eUCPgt+vMFBQhVmh4MnviFJd2GjDYEzN/E/SDpxjjKUQcHcrc1RMpKS4jdGif3ZFrxnzE4+0t8hznWE6JgjzRZV/O4FQohLj8dnev0oreQtdJFkmWmJ+n8/wT/jwcy9uyvtzOGExIl26pLPjQkqn85Pmt/OCZLdw0M9ezUUqNcW8C7wF+6rxTROZhd1o8HpgMPC0is40xff7CG2Pe79jnv4G2bE+46NheePQLsPpXEOi075xyih3cGcUds7Lhtsc28pPnt9JYW8bi6eM4Zfo4GqqLOdRl0RMMUeCxX2wFQhavbT/Cc5vs4M7bLR0ATB9fwodPnca5c2o4ZXpVdPs+/MfggevsjKqrf5FeAUmllFIjn2VhiHkjP9Q39fHq4TiPm/UOTo55hMePSLbteyQQEu2eBXaQxVEY2VVYAsXlBA/sxmpvxWo/gqukHPH6hjz1eAWYxQphXG5weRC36dcxbUDDnaGTImPQQI/KjmKfh5vPnsF3HtvIOdWFLM31hJRSY5YxZgMQb2nOFcDvjDE9wDsi8jawGHg53nHEPsD7gHOzN1vgsS+x+JWfAAbGz4YF7xvVHbOy7dcrdwCwaX87m/a3c/+KHdHH/uX5x6PflxV6aO8O4nULp06v5gOLp3LunBqmj09QJyDCGPjbv0DLBvjIQ1BRl5XzUEopld8imSORNuLRDI9IDZg4mSWDcta1ia1N09OVsEBzxsWprwPJZ6b0aTMf9MOxDsQXtFuou719Ci/7ZszHaj/Cvkcfpay+lvKljqXQcdq7DzxvO/BGKOY6RoJlkfvdbjsYFArZLdjdxdDVjgkG4hfQjvm5iMttt3yH/m3fHdtLnP8f2WFS7/A2TNJpr/4L4DKgxRgz33H/PwGfBYLA34wxX4jZrxH4veOuGcC/G2O+n8a8lcOHl0zjf5/Zwn++0s23V/yNyZVF3HJRY7QVu1JK5VgdsMJxe1f4vkTOAvYbY7Yk2kBEbgZuBqitrWX58uUpT2pqSwem9lKOTDmfjtLpYATe2AnsTPlYI0VHR0da1yoZP1xaQMDy0dxusfmwxaYjIba2Whz19+2atXA8nDC+gOPHuynydEFwBzve3MGOBMeNmLj3KeZs+g3bp13L9mYXNGfnPJRSSo1wWQjEOAs0D0fr9UwcXzw+u2GEFQLTPxghHi+uknLK6mvxlZcQOrTXzuwpLOmtf5PscrVIY4p4RZGdmUn01taJXNOkRJZjpRBUcQZ7IrczbpRl9NwD/Ai4L3KHiCzD/sT2BGNMj4j0y3U3xmwCmsLbu4HdwJ/SGF/FeGr9fnqCFsHw/7HdrV3c+tA6AA32KKUySkSeBibGeejfjDEPJ9otzn3xe2bbPgD8dqB5GGPuAu4CWLRokVm6dOlAmyewlOXLl5PeviNTLs43I2PuWwf/uBtmLKXhw3fQkKvOGkoppfKDy9374mKQujYDHSPZdtx9CjSHCw3D8BSHTlU0sOHMkIm0U4+wQojXh3h9lC+9jNChvfRsWYdv2izcE+oQd2qFqGWQDKBokMYVAsvdWw8o4A+3Y4/fwbRPkMayMP5upLA4pQyn3gygzC/BM8YQ8o+SYszGmBdEpCHm7k8Bt4XT8jHGtAxymPOArcaYwT7AU0m4/YlNBK2+75m6AiFuf2KTBnqUUhlljDk/jd12AfWO21OAPfE2FBEPdp2fk9MYR41G3UfhgeuhqArec3fu2qcqpZTKH/E6LKVazyWNN/uRpU/GV4AYA3nYen2gjlh9lnaFes/fVVKOb9osOt5cS8fup5l89TW4SivtIEm8JVLpzMnlxvi7saxuImEdZ5ZOv5pLjtuRYJD4Cu2Aj2UlP69wEMnZycxYIYwZ6DPH5I2apVsJzAbOEpFvA93AvxpjXh1g+2sZ4NPaTKTkA4RCoaylqMeTzZT4gcba3doVd5vdrV3Dev5KqfQN5/NHDvwF+I2I/A92MeZZwCsJtj0f2GiM2TVck1N5zBj4y2fhyHa44W9QOiHXM1JKKTWGmYDfDih5fRjy8w1+XJFgRILAiBSW4J5QR8fup2n++9tMvOhIOKiSONsmJdE6SoE+XbFSJR5v9BjJzKtPDads1OwZA123PEAVsAQ4BXhARGaYOGEyEfEBlwO3JjpYZlLy4ZFHHhnWFPXhTIl3jlW34tm4wZ66yqIxtSRBqZFsNCwhEpGrgB8CE4C/icgaY8xFxpi3ROQBYD12HbfPRDpuicjdwE8crdgH/CBAjTErfwrrH4YLvgHTTsv1bJRSSuWTeO3Ew7K6nMoK9Wm9TsCf/Zo9qRRHdixNigZUnEGROJlQ4nYj7iImX30NEy86wuGXXsZXXkzFsktTu5aJlkVFMop8hfa/rvDyLeexY5eXDTKOeHx9zyMO59ydAR9xueM1D0lLvgZ6MhCeA+y0/IeM7RXAAsYn2PYS4HVjzP4MjT3m3XJRI0Xevr+AHpdwy0WNOZqRUmosMsb8yRgzxRhTYIypNcZc5Hjs28aYmcaYRmPMY477P+YI8mCMucEY85PhnrvKQ7tegye/ArMvgdM/l+vZKKXU8NOlqmlLN2Mkac724W53fv2snHOLN68Bro2rtBL3hDp85cVY/iD+zWsIHdqXubm5XH2DTsbRAt7rS5xx5HL3nkvsMVKUySCgMXbXrWS+hlumAj1/JtwGV0RmAz7gYIJtBy2yqVJz5cI6vvOeBVQXCgIUely4BE6fWZ3rqSmllFKpO3YY/nADlE+Cq+6EDH3qppRSI4ZItDuRSk4kGBAt3BvMbpFcE/Dbrdddbrv1eraziBK0Xh9M5Hr06VgVmw0V8Ntf/m4IBqhYdikl06fy+CfvZv+TT6Y2T1fiwJczYGMCfkz3MTuTx9+N5S2yr+Ng5+Px2dk8kSyhAQJEfc7R2f0rgzV6rJCV1NdwSznQIyK/BV4GGkVkl4jcBPwCmCEibwK/A643xhgRmSwijzr2LQYuAB7KzPRVxJUL6/jvpcW8c9u7ePzzZwPCbY9tzPW0lFJKqdRYFvzpE9CxH6651y7CrJRSY5CzWG5WDfDGfMSKZH0Mw3mJFUJCgewv34L0xxgoC8Z5TJcLPF7E5cYzoY5TPnEakz9wHQcnn4wpqUouUyoclHK2Nk+GBLshmXbrzqCXFbJ/T5IYJ3YZV0aWblkGyx9M6mu4pdN16wMJHvpwnG33AJc6bh8DNM0kyxrGl/Dxs6fz4+e28sKWAxzq8DO5sohbLmrULlxKKaXy24vfgy1PwqXfhbqTcj0bpZTKDWOGJ3AwSvVZnpPBdtrxmOHuvJVOt7AkW4s7r5u7emI0yPPk1sO8f2oVrvZEi3bSEx3PCoHfkbGUyjnm8PfEkL9dtzK1dEvlmWnjigE42OHHYHfguvWhdfx59e7cTkwppZRK5J2/w7PfgvnvhVM+luvZKKXU2BDJkBiNmT1pLncatdIIilS3beP99QbjKcCaNNdeKpWEyDKtVDN7RlSAM9x1K5mv4aaBnlHqB8+83e++rkCI25/YlIPZKKWUUoNo3w9/vBHGzYR3/0Dr8iillMosDfakp/0grpatiBXCuL2YcMcsILvBwRHy88rXQE+m2qurPLMnTrv1ge5XSimlcsYKwYM3QU87XPcwFJTlekZKKTX25CCTItLqOqucWT1ZXsaVM4nOK7aVelgq1z2ynefwdozLjVVchfi7oKcLVzjg06+ssbPzV7hwcp8xE8wr9hiRTKCs/x9JlwErT5duaaBnlJpcWcTuOEEdA5xx27Nar0cppVT+eO7/wfa/w5V3Qu28tA8TCATYtWsX3d3dGZycymeFhYVMmTIFr9eb66moMUREfgFcBrQYY+aH7xsH/B5oALYD7zPGHAk/ditwExACPmeMeSIH085LOXkDP1qDPfE4l+QN1nZ9ECbgR7w+xN+FBLsxwUDf7B7nmHEM5Wc9LAHBNBhMTrJ1kqGBnlHqlosaufWhdXQF+v+iRer1ABrsUUoplVtbnoK/fxcWfgSaPjikQ+3atYuysjIaGhoy001D5TVjDIcOHWLXrl1Mnz4919NRY8s9wI+A+xz3fQl4xhhzm4h8KXz7iyIyD7gWOB6YDDwtIrONMWMk0pCcTLyRH/QYIyizJ53sl4TbJQj2pDWvSEv5YMBuxR4eU7y+xF3iYtqaA0T/QidZHNoEAxjyMLPHGKxAINeziEtr9IxSVy6s4zvvWUBdZVHcx7Vej1JKqZxrbYaHPg61C+DS24d8uO7ubqqrqzXIM0aICNXV1ZrBpYadMeYF4HDM3VcA94a/vxe40nH/74wxPcaYd4C3gcXDMc+MGKYCzZl4A5/0MUZAgWYJX3fx+vq2E08ktstY7Lklc4xkuNy4CooQXyFSWIKUjcOUOppq92nV3n8ekQLNcbcfgIRbvucdk781ejTQM4pdubCOF790Lole7sZb2qWUUkoNi6Af/nADhILwvnvBG/+DiVRpkGds0Z+3yiO1xpi9AOF/a8L31wHNju12he/rR0RuFpHXROS1A4dbszlXNdyGK0hhhRD3MATmvD7E48W4fXaB5oAfE/T3BndcbsRtfw3bueckEKRdt1QOTU6Q1QOw8BtPast1pZRSw++pf4fdr8EVP4LqmbmejVJKZUu8aGS/2rUAxpi7jDGLjDGLJoyrzO6skjVaW68P93mlmEVkwvMzgd7gyYAtyiNLorw+e5+YZWrxWpxH7jPBQPLtz60QJmR/ideHq6cdV9s+/G+/QWh/MxQU28Gd8NxNKAQeT9/5x7sG6fwMYn92qWQ9ZYgxYIWspL6GmwZ6xoBbLmpMmNVz5FiAWx9ap8EepZRSw2f9w7DyTjj1k3D8lbmejVJKZcJ+EZkEEP63JXz/LqDesd0UYM8wzy0z8rimTdqG+5ySXaoUJygx0NKlaGAoTp0ccbv77RupAWQvEUsvJBAJ+BgrhKukHPEVQle7HWiKIzqHeNdgOH4OWRnDYCwrqa/hpoGeMeDKhXXxPzYI6wqE+JcH1mqwRymlVPYd2goPfxbqFsEF38z1bJRSKlP+Alwf/v564GHH/deKSIGITAdmAa/kYH5Dk6PW6wllMjsjFwGsBPOPl3kzWH2dyPZ2do6///2RpVQeX5/7IzWAxOPrH0RKNtPJCiEeH54ZC3BXTyTQvBnrWHufwtBiTP9zTvb4g22Xxs8u6eylZFhg+UNJfQ03DfSMEYmKMkeEjNHMHqWUUtkV6IIHrrdftF1zD3h8g+4yErndbpqamqJf27dv5/TTT096/9bWVu64446Uxkxnn4E8/fTTfOQjHxnycW688UZqamqYP39+BmalVH4Qkd8CLwONIrJLRG4CbgMuEJEtwAXh2xhj3gIeANYDjwOf0Y5byUmqg9ZINUALchlsmVacfZz7Ru8P/42VcN2eSO0eZ2ZNNAMoUfHmRD+DmOCTBHsAcFdPIrjnHY6teNIO+EDvGLHdv5I5x4GWe6W59C6TRZ0NZliWbonIf4jIbhFZE/66dLB9NNAzRtxyUSNF3oH/U2tmj1JKqax67Auwfx2852dQWT/49iNUUVERa9asiX41NDTw0ksv9dvOGIMVJ507HwI9a9euZeHChUM+zg033MDjjz+egRkplT+MMR8wxkwyxniNMVOMMT83xhwyxpxnjJkV/vewY/tvG2NmGmMajTGP5XLuI9GwZfYMZR7pSHfuySzrcvUGdkwohBHBiPS2Q0+mZXsicfaJLNdylVYSPHyAg29s7a0vFFlWFqkjlKhYdKKgzSD1jYa14HMsA8YySX1lwPeMMf+/vTuPj6q8Fz/++c6WBBIIBIIsCtSyBAHDJiKC9EJBK62iXim3VFBpbfXe3trCVbSLbbXFi/b2+rtqa2vFhSK2LtfiUquWyrWoFQHZxLqkaMDKIltIMtvz++OcMzmzJZNkMpPl+3695pWZszzPc2Ym58x85/s8T6V9e7qpjTXQ00U4062XFvkb3S5iDNeu3cJ3ntiWo5YppZTqErasgTcegGnfhmGfzXdrcq64uBiAqqoqKioquPrqqxk/fjwffPAB559/PqeffjqjR49m7dq1XH/99bz77rtUVlaybNmyuHJqamqStgdS7vPQQw9xxhlnUFlZyVVXXUUkEqGqqoqRI0eyaNEixo4dyyWXXMKJEyeS2usEeurr61m8eDE33HADxjT/g+r06dPp3bt3s/dTSimHk+GSMtDSVpk9zRwjp0UayUiJ1dXSTBYnW8fJnAmHEWMwhcVQUJS0bdrn0RmwOd16V0DJ2b5w9BkM/OeL4dQJRMoGAw1jAsUGmE5TV+yYM50e3ikvjxle0YjJ6JZrvpzXqPLmwnEDuXDcQJ7YXM23H9lKJM0HNgOsfmUPEwf35sJxKWd/VEoppTL3j52w7loYfDbMuCEnVf7g9zvYufdoVsscNaAH3//8aU1uV1tbS2VlJQBDhw7l8ccfj1u/e/du7rvvPu666y4effRRBgwYwFNPPQXAkSNHmDx5Mtu3b2fLli1JZT/77LNJ2wOsWLEibp9du3axdu1aXn75Zfx+P1dffTWrV69m+vTp7N69m3vvvZepU6dyxRVXcNddd7F06dK4erZu3Up5eTlz5sxhyZIlLFy4MG79tGnTOHbsWFL7brvtNmbNmtXkc6SUUu1argIHjXWPykbZrvsGEJ+VRSr+QHyXqtZyZQh5upWAx0sEIBomWldjdSPLcMyfpLF8stXGNmAMuZw6/V9F5DLgdeDbxphPGttYAz1dkBO8Wf7YNmpDqf9pDHDT73fQs8hP7+4BencP0Ke4gKJA+n/QJzZXs/IPu9l7uJYBpUUsmzNCA0VKKdXFecO18NtFUFACl9wL3s7/0cPpupXO4MGDOfPMMwEYM2YMS5cu5brrrmPu3LlMmzaNTz5J/9kt1fapvPDCC2zatIlJkyYBVvCpvLyc6dOnc/LJJzN16lQAFi5cyB133BEX6AmFQlRVVbFgwQJ+8YtfMGXKlKTyN2zY0OTzoJTqIpzuOW3IyXCJdf/JRVedXAUZ3MGNVAMxp9sHYs99LGMm8bXweK3pzcNha3ntMQgUEPUXIZ4gYgeAGjvGpOfeGV/P6ZIFVh2AGG8sk8h7oIpoXQ3hvVV4e/XFW9Y/dTesVMdsDxQNpJxJDMCEQ+DxxL8Xch0YMgaTebZOHxF53fX4HmPMPc4DEXkeOCnFfjcCdwM/wvqa/iPgduCKxirr/J+2VEpOAKaxzJ7DJ0JcvuqvccuK/F7KigOU2cGfsuICyroH2Heklme2f0TIfqNXH65l+WPb4upSSinVxRjD8LfvgoPvwGVPQkmqzy9tI5PMm3zp3r177P7w4cPZtGkTTz/9NMuXL2f27NlcdtllafdNtf33vve9pO2MMSxatIif/OQnccurqqoQkbhliY937tzJpEmTOHToEN40YyloRo9SKibH2RY5CfI42ntmTyaBLyfI43os1IF4rBm5Ig2zdqUMFqWpM+5x2Lrr/lZp7Bm5vL36Ej1xjPA/PsB/ynAr48c1U5gjaQr4FAEep0yr3jrrb6pjz0Hw0WoQRDKfUeuAMWZi2qKMyejiKSK/BNY1tZ0GerowJwBz7dotKadf79ejgLsXTuDQ8SCHaoIcqKnn0PEgB2us2/7j9bz10TEO1gQJhpNT1mpDEW54fBvH6kKMGtCTiv4ldAvoW04ppbqM1++l38cvwT99F4amzjzp6vbu3Uvv3r1ZuHAhxcXFrFq1imuuuSZlECXd9gAlJSVx+8ycOZMLLriAa6+9lvLycg4dOhRbv2fPHjZu3MiUKVNYs2YNZ599dlwdW7du5ayzzmLhwoXMmzePF198kX79+sVtoxk9Sql8yEeQJ2dZRE6wp7kBCncWS4ogTCyAYzPhINTVIMU9weP6bhaNNhpscmf2JAVlwsG4IJE7aOQt60/4Hx+w/7WtnNSrL1LYLb7OxONwjsVeJl5vXNaRMyZQNBxCfAANY9C6xwsy7na5ZTEIZIBodgZabpSI9DfG7LMfzgO2N7WPfuvu4i4cN5DX/36I1a/siQv2FPm9LD+vgvGn9GqyDGMMn1r+dMpg0YlghO/+7w4ARGBon+6M6t+D0wb05LQBPRg1oAd9iguyczBKKaXaj+o34NnlHOw9gbKzv5Xv1rRb27ZtY9myZXg8Hvx+P3fffTdlZWVMnTqV0aNHc95557Fy5cpGtwdS7nPzzTcze/ZsotEofr+fO++8k5NOOomKigruv/9+rrrqKoYNG8bXv/71uDZt3bqVyZMnM3z4cG699VYuvfRSnn/+efz+xid0SGXBggWsX7+eAwcOMGjQIH7wgx9w5ZVXtu5JU0qpHHIPBp2TYE9L93EHfFxdtiRhc/F4MT6sdV4DTiDFE8EE6zDhEBIoTO4W5dof4gM+klC3uIMp0Qj+U4ZzUq++fPzieiJ1QQYuWICnsDs4U8mnmIHS2df9HVM8XqL1tdb9QKG1SV0NEii0jsuZ6cveN+Xr5Qww3YIJBpI0r+tWa/yniFRixZaqgKua2kEDPYqbLxzDxMG9Wzy+jogwoLSI6sO1SesGlhby26+dxY69R9mx9wg79x5l857DrHtzX2ybfj0KkoI/p/TulpRKrpRSqoOo/cQal6d7ObsqvsnZnq41yefx48fTLhsyZAjbtzf8EDdnzhzmzJmTtP1vfvOblGWn2z7VPvPnz2f+/Plxy6qqqvB4PPz85z9P2/7bb789dn/u3LnMnTs37bZNWbNmTYv3VUqpZslVd512zkQjdnDHZ2XDpHhOYjNgYWXBiNcLUS/RaF3LnsOE5z6xXk+3EqSwG5G6IHUHjzYEdpz9MvmcEBc8iiI+vzVOj/04KdCVI9EcDMZsjPlyc/fRQI8CGmbkaqllc0YkDe5c5PeybM5IBpQWMaC0iM+Oakj7PnIixI59VuBn596j7Nh7lJf+doCInfpWUuCjor8V9HGCP8PKSwj4utaXBaWU6nCMgSeugaP74PJnCL9bk+8WKaWUyrV8BF3asL6k6c7bUUDJuDJnAMyJYxiPFw8k9biI64bmZObYY+GIP0BG37ScLB73shSDQ8dtbz8euGCBHZTxYIJ1sUycdNwDMovXi/H5ENeYQ+LzN2QeJWQRpTxmp1yPNytJBdasW7mfOj0TGuhRWeEEiTLNCurZzc9Zp/bhrFP7xJbVhSK8/Y9j7IgFf46w9q8fxIJHfq8wrLyE02LBH2vcn5LC5qeSK6WUaiN/+X+w+yk4dwWcPAneXZ/vFimXxIwipZRSLdCOsoecrmUxPuu7kTMrlbON+y8Q18VLjIkFfEw0gqegyLofCma1rZ5CazICE6wjWnOUyJ638Z10CtKtJGXAJxaEssfeEWMaglfOa5BibKGcjaukgR7VFbQ2K6jQ72XsoFLGDiqNLYtEDVUHa2JZPzv2HuHFtz7mt5s+jG0zuKybHfzpaXcB60F5j8LWHIpSSqmW+PtGeP4mqPgCTP5avlujlFIqXxIyPHIhp2PoZDI7VQ65gz2ewu7WGDTBOuv58DXyo3g0At5umGgYQsFYGcbjBRNNHTBp7LVN83wYd0DG40UChUT2vE31H/+PgXPOwT9kZOr97MGUjROMcgJPsTGIwIRrrKyeuHZY3akM8WMKJR1LaxlDJNQ+3gOJNNCj2jWvRzi1bzGn9i3m86cPAKzBnz8+Vh/L+tlhB4Ge3vZRbL8+xQUN3b7s4M+Qsu54PPEpek9srm7x2ERKKaVcju+H310OvQbDBf9jjcCvlFKqa8thICRfM3LltN5GJHVN6tYjs+e/1pqRMWlQZEk9GHNMpq9tYjcq+znznXQKA+ecQ8077xDc/CZ9z/9CLOMn6ZiC9bFMHqcMj9cLXm9S9y9nfWxQ6DZkgKhm9CiVHSJCvx6F9OtRyGdGlseWH60L8da+Y7Hgz869R/nVhvcI2f983QJeKvo3BH/2H6vnzvXvUBeyTmjVh2tZ/tg2AA32KKVUc0Qj8NgSOHEIvvICFPbMd4uUUkqpNpVqkOM2lUkGUWxwY6dLltfq/tTIfrEBjVMNiJzpmESZZjfZ4/MASLcS/ENGEtz8Jge2/52ys/ZDL5KCPZCQjZMwQ5f4AnGBt3Tigj7ZCgAZg8nBYMwtoYEe1Wn0KPRzxtDenDG0d2xZMBzlbx83jPuzc+9RHnujmgfq/56yjNpQhJV/2K2BHqWUao6XVsJ76+Hzd8BJY/LdGqWUUqrNtWmXoFQy6Q7nHow4GIkfz8a93kVcXbti29fXIv4A0cJiJFwHwSaCOInlJs7C5Rr8OW4Z0Pf8L1B21n7+8u076f3pXpx203VJz2VctpLPb03LHgpagzUHCpFIyHrsvCZ2lMOEQ7HtcXf/8vlAsjPJj47Ro1QeBHwee9r2hl+Xo1HDB5+c4JyV61PuszfFNPFKKaXSePdFWL8CTl8A4y/Ld2uUUkqpnEoaDDkHmh1cyrB9cV2gIhHEG25222IyzPLxFHaHXtD7073oObQcepRD6ATUp/lOltBGPN7YoM2OzF6T1gdojNGuW0q1Gx6PMLisOwNLi6hOEdQZUFqUh1YppVQHdHQvPPoV6DsSzr9dx+VRSinVJeV8fCCnu1WgDeuNRqCuxrrf3IGnne5jzQj2jP7hDZjiMo6WDqXkxEdIzfsNU6cnlu2+nyYgFJdFlJjhFKy3ojSt1Y4HY85OvpJSHdCyOSMo8sefOIr8XpbNGZGnFimlVAcSCcFvL4dwHVz6AASS+9QrpZRSqg043ZfCodxkE7WmjhTdttKR0AlKTnyE5/h+ojVHG4I1qfZvD4Ng29OrZ3LLNc3oUV2WMw7Pfz77FnuP1NGj0McPLxit4/MopVQmXvghfPAKXHwv9B2e79YopZRSXYYTAInW1Vj32zKzx605mT1O9zJ/IKlrVVr1tUjN+0RqjmKCdZhoBI+zf6q68zzFvYF2OxizZvSoLu3CcQP5y/KZlBT6uGj8IA3yKKVUJt56Gv5yB0xaAmMuyXdr2p1bbrmF0047jbFjx1JZWcmrr76a8zbcdNNN3HbbbRlte/jwYe66666s1f3888/z5S9/uVVlfPDBB3zmM5+hoqKC0047jf/+7//OUuuUUp1Bzme8ypVmZL8ASKDQyuyxgyKZlGGikfhtXcubZO+bdtvEetPMdCX+gNXuVOV4PHh7luEtO4lw9bsE39uOCQfj9nPakjbIk6tsH3uMnkxuuaYZPUoBfUsK2H+sPt/NUEqp9u+TKnjia9C/Eub8ON+taXc2btzIunXreOONNygoKODAgQMEg8F8N6tRTqDn6quvzkp5W7duZdy4ca0qw+fzcfvttzN+/HiOHTvGhAkT+OxnP8uoUaOy0kallOoMxOO1xp2JRiAaxdD0eEFtPnh0QpaNk80jXm/S8Mep2upkK3n8AWv/UIjoJ/uR7iV4S3plVn/O5KdbViY0o0cpoE9xAfuPa6BHKaUaFaqDRxZZ9y+9H3wF+W1PO7Rv3z769OlDQYH13PTp04cBAwYA8NBDD3HGGWdQWVnJVVddRcT+8PvAAw8wduxYTj/99FgmzE9/+lNGjx7N6NGj+dnPfhYrv6qqioqKCr7yla9w2mmnMXv2bGprrYEob7nlFkaMGMGsWbPYvXt3Uttqamo4//zzOf300xk9ejRr164F4Prrr+fdd9+lsrKSZcuWpW1rVVUVI0eOZNGiRYwdO5ZLLrmEEydOJNXjBHrq6+tZvHgxN9xwA6aZg17279+f8ePHA1BSUkJFRQXV1dXNKkMp1Xk5wYpOl9njZKk0J6vH47Uye8AapDmDzB7xBRrqs7dxP6eNPa+xKcydAaET2+/U7T6eaCSu+5Y1o5cXAta1MlV9JhLBN/BUvD3L2PfU0wTf3tJQhmvsnrh9G5lGvi0YA1FjMrrlmmb0KIWV0bNr79F8N0Mppdq3P9wA+7bAF9dAryH5bk3jnrkePtqW3TJPGgPnrWh0k9mzZ/PDH/6Q4cOHM2vWLObPn88555zDrl27WLt2LS+//DJ+v5+rr76a1atXM2HCBG655RZefvll+vTpw6FDh9i0aRP33Xcfr776KsYYJk+ezDnnnBPLkvnb3/7GmjVr+OUvf8mll17Ko48+SkVFBQ8//DCbN28mHA4zfvx4JkyYENe2Z599lgEDBvDUU08BcOTIEQBWrFjB9u3b2bJlC0Datk6fPp3du3dz7733MnXqVK644gruuusuli5dGlfP1q1bKS8vZ86cOSxZsoSFCxfGrZ82bRrHjh1Leu5uu+02Zs2albS8qqqKzZs3M3ny5Eafe6VU15LTma46Ak+KHI5mdMciGk1dRgqxTKI05aUMMLmCQOK1g0vGpC7HLkN8AaR7CX0qR+DpVkJkfzWeklIkUJg89k+aIE+zp6JvBgMEo+0zo0cDParLe2JzNet3f0xNfYSpK15k2ZwROlaPUkolevO38Pq9cNY3YOTn8t2adqu4uJhNmzaxYcMG/vSnPzF//nxWrFjB8ePH2bRpE5MmTQKgtraW8vJyjhw5wiWXXEKfPn0A6N27Nw8++CDz5s2je3drJrOLLrqIDRs2xAI9Q4cOpbKyEoAJEyZQVVXFgQMHmDdvHt26dQPgC1/4QlLbxowZw9KlS7nuuuuYO3cu06ZNS3kML7zwQsq2Tp8+nZNPPpmpU6cCsHDhQu644464QE8oFKKqqooFCxbwi1/8gilTpiSVv2HDhoyfz+PHj3PxxRfzs5/9jB49emS8n1KqC8nhgLxtGTSI04LjSZqhqrEyXFk74vFa3b6CdVYAxefPvL5GyneLryuC8fmsIE8omL6saATxB/CW9KKwcjqR/dWEqt/FP3gkHp8fyaBea5k9WHIbvWaRPGTrZEIDPapLe2JzNcsf20ZtyDopVB+u5dq1W/jm2i0MLC3SoI9SKrfqjsAHr4HHB96AdfMFGu57/a77rmWS8uNO9ux/G37/73DKFJj5vbatK1uayLxpS16vlxkzZjBjxgzGjBnD/fffz+zZs1m0aBE/+clP4ra94447kITXr6luTk63MKcup+tWYjmJhg8fzqZNm3j66adZvnw5s2fP5nvfS349jTEp21pVVZVUR+LjnTt3MmnSJA4dOoTXm/pDdaYZPaFQiIsvvpgvfelLXHTRRY0em1KqC3N3F2rjgE+7zyJyPQcmGmm0vYldsKSwmxXwcbpkeTxWF68sPKfiCyBeL9F6+3oVDscyeZxsIrGnjE81vg+Ap6QU/+CRHHzxeeoPH2PQlxZaXdacsYmc4wdMsC4WzIp1a3PVl63X0QDtdIgeDfSorm3lH3bHgjwO53+1+nAt31y7hR/8fgff//xpGvBRSrW9jXfCn29t/n5JgaAC1337r6+AsUePQ3W/5ECRvT4+kORvKOev94K/CC75tfVYpbV79248Hg/Dhg0DYMuWLQwePJiZM2dywQUXcO2111JeXs6hQ4c4duwYM2fOZN68eVx77bWUlZVx6NAhpk+fzuLFi7n++usxxvD444/z4IMPNlqve59wOMzvf/97rrrqqrht9u7dS+/evVm4cCHFxcWsWrUKsMbAcQde0rUVYM+ePWzcuJEpU6awZs0azj777Lg6tm7dyllnncXChQuZN28eL774Iv369YvbJpOMHmMMV155JRUVFXzrW99qcnulOpvmjmulVCrNCWpYY/REmz1GULM5dUB8YKep7l6BQjw+P/WHj1Hz0SGiNUcR5/jsLmfi9dpTsXviAkZtFaAzRjN6lGqX9h6ubXKbT06EuP7RNzleH+aCygH4vR4CXg8eTxv/gq6U6nqmfhOKy+H1VfAPe3yZ4n4wdj70Gw2RoH0L2X/rXfftv2H3Mme5tcwbqYea/RAOpigr2LB/Yo95bwH8y8PQY0COn5CO5/jx4/zbv/0bhw8fxufz8elPf5p77rmHPn36cPPNNzN79myi0Sh+v58777yTM888kxtvvJFzzjkHr9fLuHHjWLVqFYsXL+aMM84AYMmSJU3OYjV+/Hjmz59PZWUlgwcPTtkta9u2bSxbtgyPx4Pf7+fuu+8GoKysjKlTpzJ69GjOO+88Vq5cmbKtJ510EhUVFdx///1cddVVDBs2jK9//etxdWzdupXJkyczfPhwbr31Vi699FKef/55/P7mBQhffvllHnzwQcaMGRPrpvbjH/+Yz31Ouw2qrqGpDL0uL1X2TmJ3pM4mXcaS+1gTghsmHCLqdMlytrPHyHG6TcWNy+PxNGTyJJTXZNtStAHsjKFoHdFwKL5rmMcLPh8eO/sz1h53ee7j8QcQYNCXFhKtOcqhDX+meGAfCsdNj3+9fT6rnkiIaH1t0nsh2++N9prRI+09Wjxx4kTz+uuvt2jfdevWMXfu3Cy3KL3169czY8aMvNWVy/o7i6krXqQ6g2BPKl6P4PcKAa+HgM+D3+vchIDPS8ArDct8HgJeSdgueZl1X1z3raBSQ7n2Y59rWUL91nprudcjef2g8MTmalb+YTd7D9cyQLvCNaol/78isskYM7FtWtRxtOY60W7Pm8bA3jfg9ftg+6MQOmENBDzhchjzz1DYsrFKMj7eaMQOGNmBIF9B29eZBbt27aKioiIndXVFVVVVzJ07l+3bt+e7KXH0dU9PrxNtQ0R+DcwFPjbGjLaXrQQ+DwSBd4HLjTGH7XXLgSuBCPANY8wfmqpj4uiR5tXf3tM2B9AZNNJNK5tdc9qVxrqmNTYQcThkj93jiY3jExfoaay8FGU2WX9CW2IDPbtn+HIFe8TVzddEIk1n+0QjmGAddds2Eg2FASg4dRS+vgMbjs3jBRO1xgFyl+ky+Z+/yuvb32rVF6UhvkLz3R5DMtp2ySe7c3o+1owe1aUtmzMiboyepnzn/AqCkSihsCEYiRCKGILhKKGIc7MeByOuZWFDbW0oebtINGlZtongChY1BJBiwSOfxNYHXMGj5GUNwSN3oMkdzIoFpuwyX33vIL/c8D71YWsANGf8o9f/foibLxyT9WNVqlMRgYETrNucH8O2R6wsn6e+Bc99B0ZfDBMvhwHj22Z8Ho8XAt2AbtkvWymlOr5VwP8AD7iW/RFYbowJi8itwHLgOhEZBXwROA0YADwvIsONMZ1sXvAcSxFQcDjThDv3O43GxiJKsS4W8Ap4McE6TDiIFHaPy3xqqi7xB6wc3wy3d4g34TXweAE/0boau50eezygGjvLJwCBQms7exyfuLF6wq6glD24cuG46Zx47UX+7wdPMmV5mB59B8YfW6AA4yuAyInY8+G0x0QjWekeac261epi2oQGelSX5mSXrPzDbqoP1yIkdViIGVhaxJJpn2qzthhjCEUMIVcAKGgHgJxlVpDJtcwOEjVsb+z1Udc+xhVMihIMG1c5DWXU1IeTyg25tg3ay1tzTjTAQ6/sYVT/HswbN4gCX/66wGm2keowCnvApCUw8cr4LJ/ND9pZPovtLJ+e+W6p6uSGDBnS7rJ5lMoHY8xLIjIkYdlzroevAJfY9y8AHjbG1APvi8g7wBnAxly0tVNrJPjQqQI8iZqYTcsR353Jj5A82HFT0mXDNNW+dF8XnMGTG2YI88Rm4pJIKH66dPd+rmMxENuv4NRRnPWdKEWfGmF1EXPG6vF4IRy2MnpSBP3E481Kr4cuM0aPiFwLLMF6/rdhpSzWudb3BB4CTrHrvs0Yc18226BUc104bmDsC/4Tm6u56ckdHK4NxW1T5PeybM6INm2HiBDwWd2zuhc0vX2+RKJWMKg+HJ+1lBh0uuTn6T+/3PD4dm543PqyEPB5KPR5KPB7KfR7KPR5KfR7KfB5KLSXFfi8FPjtx859n7PO2a6Rbf3ehjp8Hta9uS9ptrXlj1njoeQq2JMYaDr/lAgzclKz6rDSZvl8G577rpXlM+FyGJhBlk80Agfehi2/gdMXQL9ROTkEpZTqIq4A1tr3B2IFfhwf2suSiMhXga8CnNK/X6pNVK7kcMr2XIgL+jTn2DLttpUuwyhVO1xTwLs/rTTalcypJ2EfX9+BlPQdaI8DFLGyljxejM/arsnMpSxor2P0ZC3QIyIDgW8Ao4wxtSLyCFaa4irXZtcAO40xnxeRvsBuEVltjGniVVUqN5ygj2Z7pOf1CF6PFVhpzMDSokbHP7ru3JHUhSLUhSPUh6LUhyPUhaLUhSLUh62/J4JhDtU0rHP/zXZXt9pQhGW/28rDf91jBYvsAJL7rxNgKrADSoUJfwvsYJK1T3zQqcDuMiciPLG5OinQtOoojNpcre8zlZnELJ9Nq2CbneXTbwxMXGxl+QSK4ZMq2P8W7HmFyW88Aus/ii/r73+Br7yQh4NQSqnOR0RuBMLAamdRis1SfogxxtwD3APWGD1t0kCVmUa6hnUUsa5b7kBMmjFvWqWp/Z0AjXtcoBRjCTWahZUwBpAzrk8s48jjwYSDHHhmHYEe3eh17sXx61OVkwXW9Ort81812123fECRiISwOvbvTVhvgBKx8qSKgUNYJ0Kl2hV3lo9qmWVzRnDt2i0pP8kMLC3i6zNObVX5YTuryAkKWTdXwCgcod4VNHIHkX76x7dTlhmKGKIGDp8IxvZLrCPainO5CBT4PNSHk7vABaNWF0J936lmcWf5zL4Ftv0WNt1nZfk89e2kzYvcDwp6wuSvwpRrctbcXDDG6Gw1XUh7n1REdS0isghrkOaZpuHN+SFwsmuzQSR/R1Iq9/IRwEqR/RMbrDldoCdFcMZEItbsWgljARX0KkY8HkJ73sbTswxPcWn8/lk+ZivQk9UisyZrgR5jTLWI3AbsAWqB5xL6qoI1aNmTWCe3EmC+MSZp+CJ32mK/fv1Yv359i9oUiURavG9LHD9+PGf1paorl/Ur1ZRSYMbJXv70QfwJNeCB809p+/9NAQrtW9zIJV4oKxQO1iWflcsKhatH1CeU4rVv1uwAkaghGIVQ1AoMhez7Qed+pIn1UXjm/dSjtlUfrtX/YdVyhT1g0pUw8Qory2fDT+Gtdda6gRPh07PYfgBGn7cEivvmt61tpLCwkIMHD1JWVqbBni7AGMPBgwcpLCzMd1OUQkTOBa4DzjHGnHCtehL4jYj8FGsw5mHAa3loomquxgY/7gAazZDJ5VT07uwoiD2f7tm4jJ2Vk9SWVEGeYJ21baAQJ5TgdNcq/ew8QnveZuf/rGbo5yZSMnUO4remijfYgzqHQ+DM+tVKxkCwNb8Ct6Fsdt3qhTXY2FDgMPBbEVlojHnItdkcYAvwT8CpwB9FZIMx5qi7rLi0xYkTTUunZV23bl1Op83V6dWVijdjRvsc9Pi7PauTZlsr8nv57gVjmJGDtk1d8WLKbm0DS4v0f1i1npPl88XVSasOrF/faYM8AIMGDeLDDz9k//79+W6KypHCwkIGDRqU72aoLkZE1gAzgD4i8iHwfaxZtgqwvt8AvGKM+ZoxZoc9pMVOrJ4M12Q841YHDTB0Oh39NWii/TmZjt4ZoDlVWzzeWP1JbUm1vZ2ZI5EQRgQCBdbAy05xPcsY+rmJ1B8+Ts0jD9F3znn4+vQHnw+PM/U62csI7Qpdt2YB7xtj9gOIyGPAWViDLzsuB1bYqYzviMj7wEg0qq1Up9Ueu8G5Z1vLRwBq2ZwRSYGmgIc2H/Bbqc7O7/czdOjQfDdDKdXJGWMWpFh8byPb3wLc0qxKROK6pah2oKMF3tztTZEZ4w6uuAMsbRX4cQZKdtdv3O0Ih+Lbmq4c+xii9bV4CoowvoLY7FomEsFTXErJ1DnUPPIQO9ZsYtrEcXh7lYOTARQogGB9o3VkfExAO51dPauBnj3AmSLSDavr1kzg9RTbzAQ2iEg/YATwXhbboJRSGclnACpVoOn8UyLtLiCmlFJKqTwxpulZiFRudZQgT6oBh5uYit5EI7HpydsquyduivRUU5430Z3K6eolgcLYviYSgciJhoCoM1izP0DfOecxbeI4avdUUb/vQ4qnzEJ8ASuAmqXp1cF0/oweY8yrIvI74A2stMTNwD0i8jV7/c+BHwGrRGQb1uAX1xljDmSrDUop1VEkBpp0bB6llFJKxeloGSRKtUYzZsSSDLb19emPt1c59fs+JHT0BKH3duAtOwlf+aDYrF2t1SUGYwYwxnwfq4+q289d6/cCs7NZp1JKKaWUUkp1KuIBnw+CGuhRzdSC4KAzDXuLu3E1MyjpLj/22GeHJtK852NTxSdIyg5yxgPy+SBQSPGUWYTe28Hqy/6Hsy8aybAbloPHBx5Pxu1Npz1Pr976o1NKKaWUUkoplUUGaadfIFXnlRjUybgbVxYyz8S0/D0fa2dsvJ+gVZaJIr4A3rKTOPuikRSUFnPkuceIHqi2psxqJWfWrUxuuaaBHqWUUkoppZRqT3SMno6hrWeryiX7WJwxe1qi0f1SPFfinnErFMzoPe9kHbnLSBIOWWWZKOL14isfxLAbltPz0wPZ+ONnCL7zZlYCPWB13crklmtZ7bqllFJKKaWUUqqVRKyuNAkzFTUlJ1NlK8QfsAYCtgf/BTr+eEquAEpLZ+BqdNsU5cfEdd1qfEasxH3j2ui8Bs7AzsF6a+Blrxc8PkomTmXGbaU8P3oxu488mNExNaY9d93SQI9SSimllFJKtTPi9WKC0bgpqFVm0gYU2lJnGTw7Gm3bTKV05Xt8YDKYrDyDwJo7K0nAHrOnAE9ZfwqLS/mvZ96m5uDBZjc9UXsejFlMO41AOURkP/D3Fu4+FHg/i81pSh8gV7OIpaorl/UrpbKrJf+/g40xfduiMR1JK68TXe28mY/j7WrPsVLtiV4nOij72lZD+zh/tpfzuLYjnrYjXnPb0erzo4g8a9ebiQPGmHNbU19ztPtAT2uISI0xpnsO63vdGDMxX3Xlsn6lVHbp/29+dLXnPR/H29WeY6WUypb2cv7Udmg7tB0djw7GrJRSSimllFJKKdVJaKBHKaWUUkoppZRSqpPo7IGex3Jc3z15riuX9Sulskv/f/Ojqz3v+TjervYcK6VUtrSX86e2I562I562ox3q1GP0KKWUUkoppZRSSnUlnT2jRymllFJKKaWUUqrL0ECPUkoppZRSSimlVCfRIQM9InKjiATt2zMp1ouIbLHX14rIv2S6b5r6zhWR3SLyjohcn6a+O+z1b4rIeNe6UhH5nYi8JSK7RGRKc+tL8XikiGwUkXoRWZrw+B27nh0i8m0ReU1EttqPf5DJ8Sqlsqep84e9zQz7nLVDRP7sWl4lItvsda/nrtUdXyvP202+Zu1Na47XXu8Vkc0isi5X9bbk+qiUUl1Bvq5DInKyiPzJ9V3i3+3lvUXkjyLyN/tvrxy1J+7alI92pLpW5akd19qvyXYRWSMihbloh4j8WkQ+FpHtrmVp6xWR5fb7dreIzGnjdqy0X5c3ReRxESlt63Z0KMaYDnUD/EAIOAfoDtQCn0/Y5nvAfkCAK4Hjme6boj4v8C7wKSAAbAVGJWzzOeAZu74zgVdd6+4Hltj3A0BpC+rbk/D4bGAScAuwFCi3H/838F92OSXA28BE17G/CpyZ79dQb3rrKrcMzx+lwE7gFPtxuWtdFdAn38fR0W6tOW9nsm97u7X2OmWv/xbwG2Bdrupt7vVRb3rTm966wi2f1yGgPzDevu98lxgF/Cdwvb38euDWHLUn7tqUj3akulbluh3AQOB9oMh+/AiwOBftAKYD44HtrmUp67XfK1uBAmCo/T72tmE7ZgM++/6tuWhHR7p1xIyexcARY8yfjTE1wJ+BaxK2+SLwsLHcCwRE5PQM9010BvCOMeY9Y0wQeBi4IGGbC4AH7PpeAUpFpL+I9MB6U94LYIwJGmMON7O+vwB1CfVPM8b8FStohTHmY/vxJ0C1vewYsAtwIqx++6ajbyuVO5mcP/4FeMwYswes/+cct7EzavF5O8N925vWHC8iMgg4H/hVrupt4fVRKaW6grxdh4wx+4wxb9j3ne8SA+3677c3ux+4sK3bkubalNN2NHKtyvnzAfiAIhHxAd2AvblohzHmJeBQwuJ09V6A9R283hjzPvAO1vu5TdphjHnOGBO2H74CDGrrdnQkHTHQMwI44HpcBQxI2KYM6xdyx3FgbIb7JhoIfOB6/KG9LJNtPoWVWXSfnXb4KxHp3sz6QvatsfqTiMgQYBzwVxHZAnwM/NEY82pT+yqlsiaT88dwoJeIrBeRTSJymWudAZ6zl3+1jdvambTmvJ3Jvu1Na44X4GfAfwDRHNbbkuujUkp1Be3iOuT6LvEq0M8Ysw+sYBBWb4K29jOSr025bke6a1VO22GMqQZuw+rlsQ8rceG5XLfDJV29+XzvXoGVQZzvdrQbHTHQIymWJWappNommuG+2arPYEVexwN3G2PGATVY6W3Nqa/ZbRaRYuBR4JvGmMPGmEqsCOcZIjK6ifqVUtmTyf+vD5iA9avVHOC7IjLcXjfVGDMeOA+4RkSmt1lLO5fWnLdbcp3ItxYfr4jMBT42xmzKZb207PqolFJdQd6vQwnfJY7msm67/tZcm7KpXVyr7DFwLsDqhjQA6C4iC3Pdjgzk5b0rIjcCYWB1PtvR3nTEQM9bQB/X4yFYkU23A1h98xzFwPYM9030IXCy6/EgrFS5TLb5EPjQlUXzO6yTRXPq82F1uWqsfjcP1ol5tTHmMWehnWa4Hji3ifqVUtmT6fnjWWNMjTHmAPAScDqAMWav/fdj4HG6YNppC7X2vN3Uvu1Na453KvAFEanC6h7wTyLyUA7qbcn1USmluoK8XodExE/yd4l/uLr79sfqKdCW0l2bct2OdNeqXLdjFvC+MWa/MSYEPAaclYd2ONLVm/P3rogsAuYCXzLGOMGcjvhZLus6YqDnAaCniEyzU+fOAe5K2OYR4ItiuRIIGmO2Zrhvor8Cw0RkqIgEsMb/eTJhmyeBy+z6zsRKp9tnjPkI+EBERtjbzSS+S1km9Z2F1R+zsfrdLgV2GWN+KiJ9ndHHRaQI6yTxVhP1K6WyJ5Pzx/8C00TEJyLdgMnALhHpLiIlAPb5ajZWwFo1rcXn7Qz3bW9ac51abowZZIwZYu/3ojEm018Jc319VEqpriBv1yEREazxaHYZY37qWvUksMi+vwjrs0ubaeTalOt2pLtW5bQdWF22zhSRbvZrNBNr/KRct8ORrt4nsb6DF4jIUGAY8FpbNUJEzgWuA75gjDmR0L6ctaO98uW7Ac1ljKkXkR8BL2ClZf3JGPOkiKy2138J+AFwMRAEIsBXGtu3ifrCIvKvwB+wRsH/tTFmh4h8zV7/c+BprJlF3gFOAJe7ivg3YLV9on4vYV1G9QGbsQaY8mD1Vz0oIp8AhUC9iHwLKx2tFGtwrrEi8k9YI8P7RaTG3vcRY0yzps5VSrVcJucPY8wuEXkWeBOri+mvjDHbReRTwOPW9Rwf8BtjzLP5OZKOpTXn7XT75uEwMpaF61S+6m3W9VEppbqCPF+HpgJfBraJNcYnwA3ACuAR+wf0PcA/56g9ifLRjlTXKk8u22GMeVVEfge8gdVFaTNwD1avlTZth4isAWYAfUTkQ+D7pHkd7M8Aj2AFw8LANcaYSBu2YznWzFp/tD8vv2KM+VpbtqMjkYYMJ6WUUkoppZRSSinVkXXErltKKaWUUkoppZRSKgUN9CillFJKKaWUUkp1EhroUUoppZRSSimllOokNNCjlFJKKaWUUkop1UlooEcppZRSSimllFKqk9BAj1JKKaWUUkoppVQnoYEepZRSSimllFJKqU5CAz2q3RKRiIhscd2GiMjxNq7zJhFZmoVySkXk6oRlf2ltuUoppZovH9cTu96ka4FSSimlVFvz5bsBSjWi1hhT6V4gInlqSjKxGiPGmGiK1aXA1cBdzgJjzFk5appSSql4+bqelJJwLVBKKaWUamua0aM6LBH5lohst2/ftJf9h4h8w77/XyLyon1/pog8lKacG0Vkt4g8D4ywlw0Rke2ubZba2T5DRGSXiNwFvAGcLCJPiMgmEdkhIl+1d1kBnGr/crzSLuO4q7xUbXfK/qVd1nMiUpSmzYvsOt8UkQ2teBqVUqrLy8b1RES6i8hTIrLVLmc+qa8FC0XkNXvZL0TEa5//3xKR++3z+u9EpFuKOvTcr5RSSqkmaUaPas+KRGSLff99Y8w8Z4WITAAuByYDArwqIn8GXgK+DdwBTAQKRMQPnA0kfSi2y/kiMA7r/+ENYFMT7RoBXG6Mudou4wpjzCE7KPNXEXkUuB4YnfgLchNt/wQYBiwwxnxFRB4BLgYeSti/BLgOqDTGBEWktIn2KqVUV9fm1xPgXGCvMeZ8u9yewKu4rgUiUgHMB6YaY0L2jwZfsusaAVxpjHlZRH6NlQl0m6udeu5XSimlVEY0o0e1Z7XGmEr7Ni9h3dnA48aYGmPMceAxYBpWkGaC/YG4HtiI9QF9Gqk/mE+zyzlhjDkKPJlBu/5ujHnF9fgbIrIVeAU4GStY05h0bQfrC8gW+/4mYEiK/SNAEXC7iEw0xhzOoM1KKdWV5eJ6sg2YJSK3isg0Y8yRFNvMBCZg/SiwxX78KXvdB8aYl+37D9ntctNzv1JKKaUyooEe1VGlHFzBGBMCqrB+nf0L1ofxzwCnArvSlGVSLAsT//9R6LpfE2uEyAxgFjDFGHM6sDlh24zbbqt33Y+QIuvOGHMCGA28DNyjA30qpVSrZOV6Yox5GyuIsw34iYh8L01d97uCTiOMMTc5RSQWmVC+nvuVUkoplREN9KiO6iXgQhHpJiLdgXk0/ML6ErDU/rsB+BqwxRiTKqDzEjBPRIrsX20/by//B1AuImUiUgDMTdOOnsAnxpgTIjISONNefgwoaUHbmyQiw+xfnh8G1tF0YEkppVR6WbmeiMgA4IQx5iGsLlfjSb4WvABcIiLl9j69RWSwve4UEZli318A/F9C+XruV0oppVRGNNCjOiRjzBvAKuA1rDEQfmWM2Wyv3gD0BzYaY/4B1JEmkGKXsxbYAjzqbGf/kvtDu+x1wFtpmvIs4BORN4EfYXXfwhhzEHjZHpBzZTPangln8Og3gKHobC5KKdVi2bqeAGOA1+wuWTcCNydeC4wxO4HvAM/Z140/2uWDlSW0yF7eG7g7oXw99yullFIqI5I6yUEppZRSSuWCiAwB1hljRue7LUoppZTq+DSjRymllFJKKaWUUqqT0IwepZRSSimllFJKqU5CM3qUUkoppZRSSimlOgkN9CillFJKKaWUUkp1EhroUUoppZRSSimllOokNNCjlFJKKaWUUkop1UlooEcppZRSSimllFKqk9BAj1JKKaWUUkoppVQnoYEepZRSSimllFJKqU7i/wNxAdo+aNNe7QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 1440x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from class_double_bracket_flow import *\n",
    "\n",
    "\n",
    "flow = double_bracket_flow( H_TLFIM )\n",
    "\n",
    "flow.please_be_exhaustively_verbose = False\n",
    "flow.please_be_verbose = True\n",
    "\n",
    "flow.nmb_search_points_minimizing_s_search = 10\n",
    "flow.flow_step_max = 0.2\n",
    "flow.nmb_flow_steps = 20\n",
    "flow.please_use_binary_search =  True\n",
    "flow.please_compute_observables = False\n",
    "\n",
    "#flow.flow_forwards( )\n",
    "flow.flow_via_best_Z_search( please_also_check_canonical_bracket = True )\n",
    "\n",
    "flow.show_flow_forwards_results()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/tmp/ipykernel_76535/3039053629.py:62: UserWarning: FixedFormatter should only be used together with FixedLocator\n",
      "  axin1.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n",
      "/tmp/ipykernel_76535/3039053629.py:103: UserWarning: FixedFormatter should only be used together with FixedLocator\n",
      "  axin2.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n",
      "/tmp/ipykernel_76535/3039053629.py:107: UserWarning: FixedFormatter should only be used together with FixedLocator\n",
      "  axin3.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x504 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
    "\n",
    "def plot_iteration_results(  ):\n",
    "    flow.run_param_rc(fontsize=18)\n",
    "    flow_results = flow.flow_outputs\n",
    "\n",
    "    f=plt.figure(figsize = ( 8,7 ))\n",
    "    n=1\n",
    "    ax_a = f.add_subplot(1,n,1)\n",
    "    norms = flow_results['minimal_norm_sigma_H_s']\n",
    "    x_axis = [sum(flow_results['minimizing_flow_step'][:k])for k in range( 1, len(flow_results['minimizing_flow_step'])+1)]\n",
    "\n",
    "    plt.plot( x_axis, norms, '-o')   \n",
    "    if 1: \n",
    "        k=12\n",
    "        plt.annotate('k = ' + str(k) + ': ' + flow_results['strs_of_minimizer_Z'][k-1], \n",
    "                     xy=(x_axis[k],norms[k]+.5), textcoords='data', fontsize=17)\n",
    "        k=17\n",
    "        plt.annotate('k = ' + str(k) + ': ' + flow_results['strs_of_minimizer_Z'][k-1], \n",
    "                     xy=(x_axis[k]-.13,norms[k]+1.2), textcoords='data', fontsize=17)\n",
    "        k=20\n",
    "        plt.annotate('k = ' + str(k) + ': ' + flow_results['strs_of_minimizer_Z'][k-1], \n",
    "                     xy=(x_axis[k]-.148,norms[k]+.55), textcoords='data', fontsize=17)\n",
    "        k=19\n",
    "        plt.annotate('k = ' + str(k) + ': ' + flow_results['strs_of_minimizer_Z'][k-1], \n",
    "                     xy=(x_axis[k]-.14,norms[k]-1.5), textcoords='data', fontsize=17)\n",
    "    else:\n",
    "        k=12\n",
    "        plt.annotate('str(k)', xy=(x_axis[k],norms[k]), textcoords='data', fontsize=17)\n",
    "        k=17\n",
    "        plt.annotate('str(k)', xy=(x_axis[k],norms[k]), textcoords='data', fontsize=17)\n",
    "        k=19\n",
    "        plt.annotate('str(k)', xy=(x_axis[k],norms[k]), textcoords='data', fontsize=17)\n",
    "        k=20\n",
    "        plt.annotate('str(k)', xy=(x_axis[k],norms[k]), textcoords='data', fontsize=17)\n",
    "\n",
    "    plt.annotate('b)', xy = (-.1,1.02),\n",
    "                 xycoords='axes fraction')\n",
    "    x_labels_rounded = [ round(x, 2 ) for x in x_axis ]\n",
    "    chosen_label_idx = [0,1,4,13,17,-1]\n",
    "    x_labels_rounded = [x_labels_rounded[idx] for idx in chosen_label_idx]\n",
    "#     x_labels_rounded.pop(4)\n",
    "    \n",
    "    plt.xticks(x_labels_rounded)\n",
    "    y_labels_rounded = [ round(y, 1 ) for y in norms ]\n",
    "    y_labels_rounded = y_labels_rounded[0:5] + [min(y_labels_rounded)]\n",
    "    plt.yticks(y_labels_rounded)\n",
    "    plt.grid()\n",
    "    plt.xlabel(r'Total DBI duration $\\ell$')\n",
    "    plt.title(r'Norm off-diagonal $\\vert\\vert\\sigma(\\hat H_k)\\vert\\vert$')\n",
    "    a =-.1\n",
    "    b = 1.05\n",
    " \n",
    "    axin1 = ax_a.inset_axes([0.2,.7, 0.31, 0.27])\n",
    "    inset1 = axin1.imshow( H_TLFIM, cmap='RdBu' )\n",
    "    divider1 = make_axes_locatable(axin1)\n",
    "    div_ax = divider1.append_axes(\"right\", size=\"10%\", pad=0.05)\n",
    "    cbar1 = plt.colorbar(inset1, cax = div_ax )\n",
    "    range_plot = np.max( np.abs( H_TLFIM ) )\n",
    "#     cbar1.set_clim( -range_plot, range_plot )\n",
    "    axin1.set_yticks(range(2**L))  \n",
    "    axin1.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin1.set_yticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin1.set_xticks(range(2**L))\n",
    "    ax_a.annotate(' ',\n",
    "            xy=(x_axis[0]+.01, norms[0]),  # theta, radius\n",
    "            xytext=(0.24, 0.81),    # fraction, fraction\n",
    "            textcoords='figure fraction',\n",
    "            arrowprops=dict(facecolor='gray', shrink=0.01),\n",
    "            horizontalalignment='left',\n",
    "            verticalalignment='bottom')\n",
    "#     axin1.set_xlabel(r'$j$')\n",
    "#     axin1.set_title(r'$k$')\n",
    "#     axin1.grid()\n",
    "    axin2 = ax_a.inset_axes([0.65,.32, 0.31, 0.27])\n",
    "    inset2 = axin2.imshow(flow_results['optimally_flowed_H'][-1], cmap='RdBu')\n",
    "\n",
    "    divider2 = make_axes_locatable(axin2)\n",
    "    div_ax2 = divider2.append_axes(\"right\", size=\"10%\", pad=0.05)\n",
    "    cbar2 = plt.colorbar(inset2, cax = div_ax2 )\n",
    "    ax_a.annotate(' ',\n",
    "        xy=(x_axis[-1], 11.4),  # theta, radius\n",
    "        xytext=(.95, .3),    # fraction, fraction\n",
    "        textcoords='axes fraction',\n",
    "        arrowprops=dict(facecolor='gray', shrink=0.05),\n",
    "        horizontalalignment='left',\n",
    "        verticalalignment='bottom')\n",
    "    \n",
    "    axin3 = ax_a.inset_axes([0.65,.7, 0.31, 0.27])\n",
    "    inset3 = axin3.imshow(flow_results['optimally_flowed_H'][2], cmap='RdBu')\n",
    "\n",
    "    divider3 = make_axes_locatable(axin3)\n",
    "    div_ax3 = divider3.append_axes(\"right\", size=\"10%\", pad=0.05)\n",
    "    cbar2 = plt.colorbar(inset3, cax = div_ax3 )\n",
    "    ax_a.annotate(' ',\n",
    "        xy=(x_axis[2]+.01, norms[2]+.6),  # theta, radius\n",
    "        xytext=(0.65, 0.67),    # fraction, fraction\n",
    "        textcoords='axes fraction',\n",
    "        arrowprops=dict(facecolor='gray', shrink=0.05),\n",
    "        horizontalalignment='left',\n",
    "        verticalalignment='bottom')\n",
    "    axin2.set_yticks(range(2**L))  \n",
    "    axin2.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin2.set_yticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin2.set_xticks(range(2**L))    \n",
    "    axin3.set_yticks(range(2**L))  \n",
    "    axin3.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin3.set_yticklabels([1]+['']*(2**L-2)+[2**L])\n",
    "    axin3.set_xticks(range(2**L))\n",
    "    chosen_steps = [1,2]\n",
    "    plt.savefig( 'figs/variational_norm_'+hamiltonian_name+'.pdf')\n",
    "    \n",
    "plot_iteration_results()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Simple plot for debugging"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "H = flow.flow_outputs['final_flowed_H'][-1]\n",
    "\n",
    "plt.figure()\n",
    "plt.subplot(121)\n",
    "plt.imshow(abs(H_TLFIM), cmap='RdBu')\n",
    "plt.colorbar()\n",
    "plt.subplot(122)\n",
    "plt.imshow(abs(H), cmap='RdBu')\n",
    "plt.colorbar()\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This variable stores or strings that have been tested in each step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['ZZZZZZZ', 'ZZZZZZ1', 'ZZZZZ1Z', 'ZZZZZ11', 'ZZZZ1ZZ', 'ZZZZ1Z1', 'ZZZZ11Z', 'ZZZZ111', 'ZZZ1ZZZ', 'ZZZ1ZZ1', 'ZZZ1Z1Z', 'ZZZ1Z11', 'ZZZ11ZZ', 'ZZZ11Z1', 'ZZZ111Z', 'ZZZ1111', 'ZZ1ZZZZ', 'ZZ1ZZZ1', 'ZZ1ZZ1Z', 'ZZ1ZZ11', 'ZZ1Z1ZZ', 'ZZ1Z1Z1', 'ZZ1Z11Z', 'ZZ1Z111', 'ZZ11ZZZ', 'ZZ11ZZ1', 'ZZ11Z1Z', 'ZZ11Z11', 'ZZ111ZZ', 'ZZ111Z1', 'ZZ1111Z', 'ZZ11111', 'Z1ZZZZZ', 'Z1ZZZZ1', 'Z1ZZZ1Z', 'Z1ZZZ11', 'Z1ZZ1ZZ', 'Z1ZZ1Z1', 'Z1ZZ11Z', 'Z1ZZ111', 'Z1Z1ZZZ', 'Z1Z1ZZ1', 'Z1Z1Z1Z', 'Z1Z1Z11', 'Z1Z11ZZ', 'Z1Z11Z1', 'Z1Z111Z', 'Z1Z1111', 'Z11ZZZZ', 'Z11ZZZ1', 'Z11ZZ1Z', 'Z11ZZ11', 'Z11Z1ZZ', 'Z11Z1Z1', 'Z11Z11Z', 'Z11Z111', 'Z111ZZZ', 'Z111ZZ1', 'Z111Z1Z', 'Z111Z11', 'Z1111ZZ', 'Z1111Z1', 'Z11111Z', 'Z111111', '1ZZZZZZ', '1ZZZZZ1', '1ZZZZ1Z', '1ZZZZ11', '1ZZZ1ZZ', '1ZZZ1Z1', '1ZZZ11Z', '1ZZZ111', '1ZZ1ZZZ', '1ZZ1ZZ1', '1ZZ1Z1Z', '1ZZ1Z11', '1ZZ11ZZ', '1ZZ11Z1', '1ZZ111Z', '1ZZ1111', '1Z1ZZZZ', '1Z1ZZZ1', '1Z1ZZ1Z', '1Z1ZZ11', '1Z1Z1ZZ', '1Z1Z1Z1', '1Z1Z11Z', '1Z1Z111', '1Z11ZZZ', '1Z11ZZ1', '1Z11Z1Z', '1Z11Z11', '1Z111ZZ', '1Z111Z1', '1Z1111Z', '1Z11111', '11ZZZZZ', '11ZZZZ1', '11ZZZ1Z', '11ZZZ11', '11ZZ1ZZ', '11ZZ1Z1', '11ZZ11Z', '11ZZ111', '11Z1ZZZ', '11Z1ZZ1', '11Z1Z1Z', '11Z1Z11', '11Z11ZZ', '11Z11Z1', '11Z111Z', '11Z1111', '111ZZZZ', '111ZZZ1', '111ZZ1Z', '111ZZ11', '111Z1ZZ', '111Z1Z1', '111Z11Z', '111Z111', '1111ZZZ', '1111ZZ1', '1111Z1Z', '1111Z11', '11111ZZ', '11111Z1', '111111Z', '1111111']\n"
     ]
    }
   ],
   "source": [
    "print(flow.flow_outputs['all_Z_names'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and these are the strings that gave the optimal generator to decrease the norm of the off-diagonal restriction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 Canonical\n",
      "1 Canonical\n",
      "2 Canonical\n",
      "3 Canonical\n",
      "4 Canonical\n",
      "5 Canonical\n",
      "6 Canonical\n",
      "7 Canonical\n",
      "8 Canonical\n",
      "9 Canonical\n",
      "10 Canonical\n",
      "11 Z111111\n",
      "12 Canonical\n",
      "13 Canonical\n",
      "14 Canonical\n",
      "15 Canonical\n",
      "16 11Z11Z1\n",
      "17 Canonical\n",
      "18 1111ZZ1\n",
      "19 1ZZ1111\n"
     ]
    }
   ],
   "source": [
    "for i, z in enumerate(flow.flow_outputs['strs_of_minimizer_Z']):\n",
    "    print(i, z)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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