Fig A1c variational double-bracket flow TFIM 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 = \"TFIM_J_1_L_\" +str(L)\n",
    "H_TFIM = 0*np.eye( 2**L ) \n",
    "\n",
    "for x in range(L-1):\n",
    "    H_TFIM = H_TFIM + X.at(x+1).dot(X.at(x+2)) + Z.at(x+1)\n",
    "H_TFIM = H_TFIM + Z.at(L)    \n",
    "    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flow step  0\n",
      "    Found minimum norm =  27.712812921102035  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  27.712812921102035\n",
      "    Found minimum norm =  27.71281433064827  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0001953125   minimal norm  27.71281433064827\n",
      "    Found minimum norm =  27.71281292110462  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0001953125   minimal norm  27.71281292110462\n",
      "    Found minimum norm =  27.71281433064827  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  27.71281433064827\n",
      "    Found minimum norm =  27.71281292110462  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  27.71281292110462\n",
      "    Found minimum norm =  27.36633446762481  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.08144531250000002   minimal norm  27.36633446762481\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.71281433064827  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0001953125   minimal norm  27.71281433064827\n",
      "    Found minimum norm =  27.71281292110462  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  27.71281292110462\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.779031117172952  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.08300781250000001   minimal norm  26.779031117172952\n",
      "    Found minimum norm =  27.366334467624814  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.08144531250000002   minimal norm  27.366334467624814\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.71281433064827  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  27.71281433064827\n",
      "    Found minimum norm =  27.71281292110462  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  27.71281292110462\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.779031117172956  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.08300781250000001   minimal norm  26.779031117172956\n",
      "    Found minimum norm =  26.094534239031546  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.08027343750000002   minimal norm  26.094534239031546\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  27.366334467624814  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.08144531250000002   minimal norm  27.366334467624814\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.409367165846536  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.07480468750000001   minimal norm  27.409367165846536\n",
      "    Found minimum norm =  26.805047791067814  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.08144531250000002   minimal norm  26.805047791067814\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.71281433064827  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0001953125   minimal norm  27.71281433064827\n",
      "    Found minimum norm =  27.71281292110462  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0001953125   minimal norm  27.71281292110462\n",
      "    Found minimum norm =  27.38924269453204  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.07871093750000001   minimal norm  27.38924269453204\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  26.118245757995066  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.07949218750000002   minimal norm  26.118245757995066\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  26.829466202654253  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.08027343750000002   minimal norm  26.829466202654253\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.779031117172952  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.08300781250000001   minimal norm  26.779031117172952\n",
      "    Found minimum norm =  26.118245757995066  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.07949218750000002   minimal norm  26.118245757995066\n",
      "    Found minimum norm =  25.347119668007988  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.07480468750000001   minimal norm  25.347119668007988\n",
      "    Found minimum norm =  26.094534239031546  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.08027343750000002   minimal norm  26.094534239031546\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  26.118245757995073  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.07949218750000002   minimal norm  26.118245757995073\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  27.366334467624814  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.08144531250000002   minimal norm  27.366334467624814\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.409367165846536  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.07480468750000001   minimal norm  27.409367165846536\n",
      "    Found minimum norm =  26.82946620265425  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.08027343750000002   minimal norm  26.82946620265425\n",
      "    Found minimum norm =  27.409367165846536  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.07480468750000001   minimal norm  27.409367165846536\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  26.118245757995073  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.07949218750000002   minimal norm  26.118245757995073\n",
      "    Found minimum norm =  26.829466202654253  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.08027343750000002   minimal norm  26.829466202654253\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.409367165846536  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.07480468750000001   minimal norm  27.409367165846536\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.38924269453204  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.07871093750000001   minimal norm  27.38924269453204\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  26.246746102465153  for s =  0.1384765625\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.1384765625   minimal norm  26.246746102465153\n",
      "    Found minimum norm =  27.712814330648275  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  27.712814330648275\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.38924269453204  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.07871093750000001   minimal norm  27.38924269453204\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.805047791067814  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.08144531250000002   minimal norm  26.805047791067814\n",
      "    Found minimum norm =  27.409367165846536  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.07480468750000001   minimal norm  27.409367165846536\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.829466202654253  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.08027343750000002   minimal norm  26.829466202654253\n",
      "    Found minimum norm =  26.11824575799507  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.07949218750000002   minimal norm  26.11824575799507\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  27.409367165846536  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.07480468750000001   minimal norm  27.409367165846536\n",
      "    Found minimum norm =  26.82946620265425  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.08027343750000002   minimal norm  26.82946620265425\n",
      "    Found minimum norm =  27.40936716584654  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.07480468750000001   minimal norm  27.40936716584654\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.366334467624814  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.08144531250000002   minimal norm  27.366334467624814\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  26.118245757995066  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.07949218750000002   minimal norm  26.118245757995066\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  26.094534239031546  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.08027343750000002   minimal norm  26.094534239031546\n",
      "    Found minimum norm =  25.347119668007988  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.07480468750000001   minimal norm  25.347119668007988\n",
      "    Found minimum norm =  26.118245757995066  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.07949218750000002   minimal norm  26.118245757995066\n",
      "    Found minimum norm =  26.779031117172952  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.08300781250000001   minimal norm  26.779031117172952\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.829466202654253  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.08027343750000002   minimal norm  26.829466202654253\n",
      "    Found minimum norm =  26.118245757995073  for s =  0.07949218750000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.07949218750000002   minimal norm  26.118245757995073\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  27.38924269453204  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.07871093750000001   minimal norm  27.38924269453204\n",
      "    Found minimum norm =  24.881988031138306  for s =  0.11074218749999999\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.11074218749999999   minimal norm  24.881988031138306\n",
      "    Found minimum norm =  27.71281433064827  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  27.71281433064827\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.38924269453204  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.07871093750000001   minimal norm  27.38924269453204\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.805047791067814  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.08144531250000002   minimal norm  26.805047791067814\n",
      "    Found minimum norm =  27.409367165846536  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.07480468750000001   minimal norm  27.409367165846536\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.366334467624814  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.08144531250000002   minimal norm  27.366334467624814\n",
      "    Found minimum norm =  26.805047791067818  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.08144531250000002   minimal norm  26.805047791067818\n",
      "    Found minimum norm =  26.094534239031542  for s =  0.08027343750000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.08027343750000002   minimal norm  26.094534239031542\n",
      "    Found minimum norm =  26.779031117172952  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.08300781250000001   minimal norm  26.779031117172952\n",
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  26.805047791067814  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.08144531250000002   minimal norm  26.805047791067814\n",
      "    Found minimum norm =  27.38924269453204  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.07871093750000001   minimal norm  27.38924269453204\n",
      "    Found minimum norm =  24.881988031138306  for s =  0.11074218749999999\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.11074218749999999   minimal norm  24.881988031138306\n",
      "    Found minimum norm =  27.71281433064827  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0001953125   minimal norm  27.71281433064827\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  27.71281292110548\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  27.389242694532044  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.07871093750000001   minimal norm  27.389242694532044\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.366334467624814  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.08144531250000002   minimal norm  27.366334467624814\n",
      "    Found minimum norm =  26.779031117172956  for s =  0.08300781250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.08300781250000001   minimal norm  26.779031117172956\n",
      "    Found minimum norm =  27.38924269453204  for s =  0.07871093750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.07871093750000001   minimal norm  27.38924269453204\n",
      "    Found minimum norm =  24.881988031138306  for s =  0.11074218749999999\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.11074218749999999   minimal norm  24.881988031138306\n",
      "    Found minimum norm =  27.71281433064827  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  27.71281433064827\n",
      "    Found minimum norm =  27.71281292110548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0001953125   minimal norm  27.71281292110548\n",
      "    Found minimum norm =  27.36633446762481  for s =  0.08144531250000002\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.08144531250000002   minimal norm  27.36633446762481\n",
      "    Found minimum norm =  24.881988031138306  for s =  0.11074218749999999\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.11074218749999999   minimal norm  24.881988031138306\n",
      "    Found minimum norm =  27.71281433064827  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0001953125   minimal norm  27.71281433064827\n",
      "    Found minimum norm =  24.881988031138306  for s =  0.11074218749999999\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.11074218749999999   minimal norm  24.881988031138306\n",
      "    Found minimum norm =  26.246746102465153  for s =  0.1384765625\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.1384765625   minimal norm  26.246746102465153\n",
      "    Found minimum norm =  27.712812921102035  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  27.712812921102035\n",
      "    Found minimum norm =  19.981559829257154  for s =  0.05253906250000001\n",
      "Found that canonical is better because  19.981559829257154 24.881988031138306\n",
      "    Found minimum norm =  19.981559829257154  for s =  0.05253906250000001\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  1\n",
      "    Found minimum norm =  19.981559829257154  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  19.981559829257154\n",
      "    Found minimum norm =  19.908402249154115  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.14980468750000003   minimal norm  19.908402249154115\n",
      "    Found minimum norm =  19.094520042860225  for s =  0.19980468750000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.19980468750000002   minimal norm  19.094520042860225\n",
      "    Found minimum norm =  19.981560431266086  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  19.981560431266086\n",
      "    Found minimum norm =  19.703356402224834  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.14980468750000003   minimal norm  19.703356402224834\n",
      "    Found minimum norm =  18.387420000121487  for s =  0.18691406249999998\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.18691406249999998   minimal norm  18.387420000121487\n",
      "    Found minimum norm =  19.87645164813304  for s =  0.0958984375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0958984375   minimal norm  19.87645164813304\n",
      "    Found minimum norm =  19.981560421278765  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0001953125   minimal norm  19.981560421278765\n",
      "    Found minimum norm =  19.702438137778195  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.14980468750000003   minimal norm  19.702438137778195\n",
      "    Found minimum norm =  19.39284891809555  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0998046875   minimal norm  19.39284891809555\n",
      "    Found minimum norm =  17.740791248461967  for s =  0.1689453125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.1689453125   minimal norm  17.740791248461967\n",
      "    Found minimum norm =  18.999202613303606  for s =  0.15683593750000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.15683593750000002   minimal norm  18.999202613303606\n",
      "    Found minimum norm =  19.97536164089473  for s =  0.04472656250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.04472656250000001   minimal norm  19.97536164089473\n",
      "    Found minimum norm =  19.408285239215925  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0998046875   minimal norm  19.408285239215925\n",
      "    Found minimum norm =  19.85597654504264  for s =  0.09824218750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.09824218750000001   minimal norm  19.85597654504264\n",
      "    Found minimum norm =  19.981560421278765  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  19.981560421278765\n",
      "    Found minimum norm =  19.703356402224834  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.14980468750000003   minimal norm  19.703356402224834\n",
      "    Found minimum norm =  19.370008401940638  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0998046875   minimal norm  19.370008401940638\n",
      "    Found minimum norm =  18.618012484271087  for s =  0.1337890625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.1337890625   minimal norm  18.618012484271087\n",
      "    Found minimum norm =  19.571211283536726  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0998046875   minimal norm  19.571211283536726\n",
      "    Found minimum norm =  18.281974244589165  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.14980468750000003   minimal norm  18.281974244589165\n",
      "    Found minimum norm =  17.112602125787696  for s =  0.15488281250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.15488281250000002   minimal norm  17.112602125787696\n",
      "    Found minimum norm =  18.587306108448438  for s =  0.1330078125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.1330078125   minimal norm  18.587306108448438\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  18.999202613303602  for s =  0.15683593750000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.15683593750000002   minimal norm  18.999202613303602\n",
      "    Found minimum norm =  19.97536164089473  for s =  0.04472656250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.04472656250000001   minimal norm  19.97536164089473\n",
      "    Found minimum norm =  19.622393964591257  for s =  0.0970703125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0970703125   minimal norm  19.622393964591257\n",
      "    Found minimum norm =  18.604552717430316  for s =  0.1326171875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.1326171875   minimal norm  18.604552717430316\n",
      "    Found minimum norm =  19.571211283536726  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0998046875   minimal norm  19.571211283536726\n",
      "    Found minimum norm =  19.969427917491338  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0498046875   minimal norm  19.969427917491338\n",
      "    Found minimum norm =  19.39283926755569  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0998046875   minimal norm  19.39283926755569\n",
      "    Found minimum norm =  19.85586863679028  for s =  0.0978515625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0978515625   minimal norm  19.85586863679028\n",
      "    Found minimum norm =  19.981560431266082  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0001953125   minimal norm  19.981560431266082\n",
      "    Found minimum norm =  19.094520042860225  for s =  0.19980468750000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.19980468750000002   minimal norm  19.094520042860225\n",
      "    Found minimum norm =  18.8961842492976  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.14980468750000003   minimal norm  18.8961842492976\n",
      "    Found minimum norm =  18.237404657045328  for s =  0.14667968750000004\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.14667968750000004   minimal norm  18.237404657045328\n",
      "    Found minimum norm =  19.39283926755569  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0998046875   minimal norm  19.39283926755569\n",
      "    Found minimum norm =  18.618012484271087  for s =  0.1337890625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.1337890625   minimal norm  18.618012484271087\n",
      "    Found minimum norm =  17.5513258607741  for s =  0.14003906249999998\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.14003906249999998   minimal norm  17.5513258607741\n",
      "    Found minimum norm =  18.889429976931375  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0998046875   minimal norm  18.889429976931375\n",
      "    Found minimum norm =  19.408285239215925  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0998046875   minimal norm  19.408285239215925\n",
      "    Found minimum norm =  17.740791248461964  for s =  0.1689453125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.1689453125   minimal norm  17.740791248461964\n",
      "    Found minimum norm =  17.498142035113823  for s =  0.1404296875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.1404296875   minimal norm  17.498142035113823\n",
      "    Found minimum norm =  15.950693225873263  for s =  0.15449218750000004\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.15449218750000004   minimal norm  15.950693225873263\n",
      "    Found minimum norm =  17.112602125787696  for s =  0.15488281250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.15488281250000002   minimal norm  17.112602125787696\n",
      "    Found minimum norm =  18.604552717430312  for s =  0.1326171875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.1326171875   minimal norm  18.604552717430312\n",
      "    Found minimum norm =  17.5513258607741  for s =  0.14003906249999998\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.14003906249999998   minimal norm  17.5513258607741\n",
      "    Found minimum norm =  18.172840277922205  for s =  0.14707031250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.14707031250000002   minimal norm  18.172840277922205\n",
      "    Found minimum norm =  18.387420000121487  for s =  0.18691406249999998\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.18691406249999998   minimal norm  18.387420000121487\n",
      "    Found minimum norm =  19.876451648133038  for s =  0.0958984375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0958984375   minimal norm  19.876451648133038\n",
      "    Found minimum norm =  19.42589394895181  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0998046875   minimal norm  19.42589394895181\n",
      "    Found minimum norm =  18.889429976931375  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0998046875   minimal norm  18.889429976931375\n",
      "    Found minimum norm =  19.622393964591257  for s =  0.0970703125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0970703125   minimal norm  19.622393964591257\n",
      "    Found minimum norm =  18.587306108448438  for s =  0.1330078125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.1330078125   minimal norm  18.587306108448438\n",
      "    Found minimum norm =  17.49814203511382  for s =  0.1404296875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.1404296875   minimal norm  17.49814203511382\n",
      "    Found minimum norm =  18.87234933781123  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0998046875   minimal norm  18.87234933781123\n",
      "    Found minimum norm =  19.39284891809555  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0998046875   minimal norm  19.39284891809555\n",
      "    Found minimum norm =  19.855976545042637  for s =  0.09824218750000001\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.09824218750000001   minimal norm  19.855976545042637\n",
      "    Found minimum norm =  19.42589394895181  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0998046875   minimal norm  19.42589394895181\n",
      "    Found minimum norm =  18.172840277922205  for s =  0.14707031250000002\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.14707031250000002   minimal norm  18.172840277922205\n",
      "    Found minimum norm =  19.370008401940634  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0998046875   minimal norm  19.370008401940634\n",
      "    Found minimum norm =  19.85586863679028  for s =  0.0978515625\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0978515625   minimal norm  19.85586863679028\n",
      "    Found minimum norm =  18.8961842492976  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.14980468750000003   minimal norm  18.8961842492976\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  19.56514510897345  for s =  0.1408203125\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.1408203125   minimal norm  19.56514510897345\n",
      "    Found minimum norm =  19.44881303247274  for s =  0.17832031250000002\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.17832031250000002   minimal norm  19.44881303247274\n",
      "    Found minimum norm =  19.908402249154115  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.14980468750000003   minimal norm  19.908402249154115\n",
      "    Found minimum norm =  19.56514510897345  for s =  0.1408203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.1408203125   minimal norm  19.56514510897345\n",
      "    Found minimum norm =  18.8961842492976  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.14980468750000003   minimal norm  18.8961842492976\n",
      "    Found minimum norm =  19.85586863679028  for s =  0.0978515625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0978515625   minimal norm  19.85586863679028\n",
      "    Found minimum norm =  19.370008401940634  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0998046875   minimal norm  19.370008401940634\n",
      "    Found minimum norm =  18.1728402779222  for s =  0.14707031250000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.14707031250000002   minimal norm  18.1728402779222\n",
      "    Found minimum norm =  19.42589394895181  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0998046875   minimal norm  19.42589394895181\n",
      "    Found minimum norm =  19.85597654504264  for s =  0.09824218750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.09824218750000001   minimal norm  19.85597654504264\n",
      "    Found minimum norm =  19.39284891809555  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0998046875   minimal norm  19.39284891809555\n",
      "    Found minimum norm =  18.87234933781123  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0998046875   minimal norm  18.87234933781123\n",
      "    Found minimum norm =  17.49814203511382  for s =  0.1404296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.1404296875   minimal norm  17.49814203511382\n",
      "    Found minimum norm =  18.587306108448438  for s =  0.1330078125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.1330078125   minimal norm  18.587306108448438\n",
      "    Found minimum norm =  19.622393964591257  for s =  0.0970703125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0970703125   minimal norm  19.622393964591257\n",
      "    Found minimum norm =  18.88942997693138  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0998046875   minimal norm  18.88942997693138\n",
      "    Found minimum norm =  19.42589394895181  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0998046875   minimal norm  19.42589394895181\n",
      "    Found minimum norm =  19.876451648133038  for s =  0.0958984375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0958984375   minimal norm  19.876451648133038\n",
      "    Found minimum norm =  18.387420000121487  for s =  0.18691406249999998\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.18691406249999998   minimal norm  18.387420000121487\n",
      "    Found minimum norm =  18.172840277922205  for s =  0.14707031250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.14707031250000002   minimal norm  18.172840277922205\n",
      "    Found minimum norm =  17.5513258607741  for s =  0.14003906249999998\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.14003906249999998   minimal norm  17.5513258607741\n",
      "    Found minimum norm =  18.604552717430312  for s =  0.1326171875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.1326171875   minimal norm  18.604552717430312\n",
      "    Found minimum norm =  17.112602125787696  for s =  0.15488281250000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.15488281250000002   minimal norm  17.112602125787696\n",
      "    Found minimum norm =  15.950693225873263  for s =  0.15449218750000004\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.15449218750000004   minimal norm  15.950693225873263\n",
      "    Found minimum norm =  17.49814203511382  for s =  0.1404296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.1404296875   minimal norm  17.49814203511382\n",
      "    Found minimum norm =  17.740791248461964  for s =  0.1689453125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.1689453125   minimal norm  17.740791248461964\n",
      "    Found minimum norm =  19.408285239215925  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0998046875   minimal norm  19.408285239215925\n",
      "    Found minimum norm =  18.889429976931375  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0998046875   minimal norm  18.889429976931375\n",
      "    Found minimum norm =  17.5513258607741  for s =  0.14003906249999998\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.14003906249999998   minimal norm  17.5513258607741\n",
      "    Found minimum norm =  18.618012484271087  for s =  0.1337890625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.1337890625   minimal norm  18.618012484271087\n",
      "    Found minimum norm =  19.39283926755569  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0998046875   minimal norm  19.39283926755569\n",
      "    Found minimum norm =  18.237404657045328  for s =  0.14667968750000004\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.14667968750000004   minimal norm  18.237404657045328\n",
      "    Found minimum norm =  18.8961842492976  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.14980468750000003   minimal norm  18.8961842492976\n",
      "    Found minimum norm =  18.664646886100243  for s =  0.17988281250000004\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.17988281250000004   minimal norm  18.664646886100243\n",
      "    Found minimum norm =  19.981560431266082  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  19.981560431266082\n",
      "    Found minimum norm =  19.855868636790284  for s =  0.0978515625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0978515625   minimal norm  19.855868636790284\n",
      "    Found minimum norm =  19.39283926755569  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0998046875   minimal norm  19.39283926755569\n",
      "    Found minimum norm =  19.969427917491338  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0498046875   minimal norm  19.969427917491338\n",
      "    Found minimum norm =  19.571211283536726  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0998046875   minimal norm  19.571211283536726\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  18.604552717430312  for s =  0.1326171875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.1326171875   minimal norm  18.604552717430312\n",
      "    Found minimum norm =  19.622393964591257  for s =  0.0970703125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0970703125   minimal norm  19.622393964591257\n",
      "    Found minimum norm =  19.97536164089473  for s =  0.04472656250000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.04472656250000001   minimal norm  19.97536164089473\n",
      "    Found minimum norm =  18.999202613303602  for s =  0.15683593750000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.15683593750000002   minimal norm  18.999202613303602\n",
      "    Found minimum norm =  18.587306108448438  for s =  0.1330078125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.1330078125   minimal norm  18.587306108448438\n",
      "    Found minimum norm =  17.112602125787696  for s =  0.15488281250000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.15488281250000002   minimal norm  17.112602125787696\n",
      "    Found minimum norm =  18.281974244589165  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.14980468750000003   minimal norm  18.281974244589165\n",
      "    Found minimum norm =  19.571211283536726  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0998046875   minimal norm  19.571211283536726\n",
      "    Found minimum norm =  18.618012484271087  for s =  0.1337890625\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.1337890625   minimal norm  18.618012484271087\n",
      "    Found minimum norm =  19.370008401940634  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0998046875   minimal norm  19.370008401940634\n",
      "    Found minimum norm =  18.834921917268918  for s =  0.14121093750000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.14121093750000002   minimal norm  18.834921917268918\n",
      "    Found minimum norm =  19.981560421278765  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0001953125   minimal norm  19.981560421278765\n",
      "    Found minimum norm =  19.855976545042637  for s =  0.09824218750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.09824218750000001   minimal norm  19.855976545042637\n",
      "    Found minimum norm =  19.408285239215925  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0998046875   minimal norm  19.408285239215925\n",
      "    Found minimum norm =  19.975361640894732  for s =  0.04472656250000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.04472656250000001   minimal norm  19.975361640894732\n",
      "    Found minimum norm =  18.999202613303602  for s =  0.15683593750000002\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.15683593750000002   minimal norm  18.999202613303602\n",
      "    Found minimum norm =  17.740791248461964  for s =  0.1689453125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.1689453125   minimal norm  17.740791248461964\n",
      "    Found minimum norm =  19.392848918095552  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0998046875   minimal norm  19.392848918095552\n",
      "    Found minimum norm =  18.820017751542434  for s =  0.14121093750000002\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.14121093750000002   minimal norm  18.820017751542434\n",
      "    Found minimum norm =  19.981560421278765  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  19.981560421278765\n",
      "    Found minimum norm =  19.876451648133038  for s =  0.0958984375\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0958984375   minimal norm  19.876451648133038\n",
      "    Found minimum norm =  18.387420000121487  for s =  0.18691406249999998\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.18691406249999998   minimal norm  18.387420000121487\n",
      "    Found minimum norm =  18.834921917268915  for s =  0.14121093750000002\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.14121093750000002   minimal norm  18.834921917268915\n",
      "    Found minimum norm =  19.981560431266086  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0001953125   minimal norm  19.981560431266086\n",
      "    Found minimum norm =  18.664646886100243  for s =  0.17988281250000004\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.17988281250000004   minimal norm  18.664646886100243\n",
      "    Found minimum norm =  19.448813032472735  for s =  0.17832031250000002\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.17832031250000002   minimal norm  19.448813032472735\n",
      "    Found minimum norm =  19.981559829257154  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  19.981559829257154\n",
      "    Found minimum norm =  18.514772670431267  for s =  0.046289062500000006\n",
      "Found that canonical is worse because  18.514772670431267 15.950693225873263\n",
      "    Found minimum norm =  15.950693225873263  for s =  0.15449218750000004\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n",
      "Flow step  2\n",
      "    Found minimum norm =  15.950693225873263  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  15.950693225873263\n",
      "    Found minimum norm =  15.950761207102667  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0001953125   minimal norm  15.950761207102667\n",
      "    Found minimum norm =  15.914424695525987  for s =  0.06503906250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.06503906250000001   minimal norm  15.914424695525987\n",
      "    Found minimum norm =  15.950719179665297  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  15.950719179665297\n",
      "    Found minimum norm =  15.950739796889795  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  15.950739796889795\n",
      "    Found minimum norm =  15.95026426002647  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0072265625   minimal norm  15.95026426002647\n",
      "    Found minimum norm =  15.950693895012268  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  15.950693895012268\n",
      "    Found minimum norm =  15.950692567341077  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0001953125   minimal norm  15.950692567341077\n",
      "    Found minimum norm =  15.950726795477738  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  15.950726795477738\n",
      "    Found minimum norm =  15.950695721787923  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0001953125   minimal norm  15.950695721787923\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  15.950707621300566  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  15.950707621300566\n",
      "    Found minimum norm =  15.950702963595761  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  15.950702963595761\n",
      "    Found minimum norm =  15.950715346718106  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  15.950715346718106\n",
      "    Found minimum norm =  15.950739309399397  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  15.950739309399397\n",
      "    Found minimum norm =  15.936524431069577  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0138671875   minimal norm  15.936524431069577\n",
      "    Found minimum norm =  15.950773919631324  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  15.950773919631324\n",
      "    Found minimum norm =  15.950739796889795  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  15.950739796889795\n",
      "    Found minimum norm =  15.950728104870821  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  15.950728104870821\n",
      "    Found minimum norm =  15.950603978516236  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0017578125   minimal norm  15.950603978516236\n",
      "    Found minimum norm =  15.950740592275888  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  15.950740592275888\n",
      "    Found minimum norm =  15.950520164830218  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0021484375   minimal norm  15.950520164830218\n",
      "    Found minimum norm =  15.951033477557354  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0001953125   minimal norm  15.951033477557354\n",
      "    Found minimum norm =  15.94831861659021  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0076171875   minimal norm  15.94831861659021\n",
      "    Found minimum norm =  15.950060252866678  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0052734375   minimal norm  15.950060252866678\n",
      "    Found minimum norm =  15.950715346718106  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  15.950715346718106\n",
      "    Found minimum norm =  15.94562722277271  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.009179687500000002   minimal norm  15.94562722277271\n",
      "    Found minimum norm =  15.951792293220892  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  15.951792293220892\n",
      "    Found minimum norm =  15.950655135356445  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0009765625   minimal norm  15.950655135356445\n",
      "    Found minimum norm =  15.950812629244709  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  15.950812629244709\n",
      "    Found minimum norm =  15.95084900450479  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  15.95084900450479\n",
      "    Found minimum norm =  15.949560104932516  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0041015625   minimal norm  15.949560104932516\n",
      "    Found minimum norm =  15.950748680536874  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0001953125   minimal norm  15.950748680536874\n",
      "    Found minimum norm =  15.914424695525986  for s =  0.06503906250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.06503906250000001   minimal norm  15.914424695525986\n",
      "    Found minimum norm =  15.950591957393755  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0021484375   minimal norm  15.950591957393755\n",
      "    Found minimum norm =  15.950697382178525  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  15.950697382178525\n",
      "    Found minimum norm =  15.928273465650415  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.020507812500000003   minimal norm  15.928273465650415\n",
      "    Found minimum norm =  15.950603978516236  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0017578125   minimal norm  15.950603978516236\n",
      "    Found minimum norm =  15.931874005528023  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0166015625   minimal norm  15.931874005528023\n",
      "    Found minimum norm =  15.951953128695378  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0001953125   minimal norm  15.951953128695378\n",
      "    Found minimum norm =  15.946555983379243  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0107421875   minimal norm  15.946555983379243\n",
      "    Found minimum norm =  15.950707621300564  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  15.950707621300564\n",
      "    Found minimum norm =  15.952274236941372  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0001953125   minimal norm  15.952274236941372\n",
      "    Found minimum norm =  14.640530797941768  for s =  0.07792968750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.07792968750000001   minimal norm  14.640530797941768\n",
      "    Found minimum norm =  15.950726888099137  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  15.950726888099137\n",
      "    Found minimum norm =  15.951792293220892  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  15.951792293220892\n",
      "    Found minimum norm =  15.950664111135122  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0005859375000000001   minimal norm  15.950664111135122\n",
      "    Found minimum norm =  15.950707180790815  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0001953125   minimal norm  15.950707180790815\n",
      "    Found minimum norm =  15.931996003603665  for s =  0.038476562500000006\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.038476562500000006   minimal norm  15.931996003603665\n",
      "    Found minimum norm =  15.950693895012268  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  15.950693895012268\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  15.945660478482273  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0087890625   minimal norm  15.945660478482273\n",
      "    Found minimum norm =  15.95195312869538  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0001953125   minimal norm  15.95195312869538\n",
      "    Found minimum norm =  15.948565544584655  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0060546875   minimal norm  15.948565544584655\n",
      "    Found minimum norm =  15.94831861659021  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0076171875   minimal norm  15.94831861659021\n",
      "    Found minimum norm =  15.950711072477477  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  15.950711072477477\n",
      "    Found minimum norm =  15.95069655370382  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0001953125   minimal norm  15.95069655370382\n",
      "    Found minimum norm =  15.950710326092874  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0001953125   minimal norm  15.950710326092874\n",
      "    Found minimum norm =  15.93652443106958  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0138671875   minimal norm  15.93652443106958\n",
      "    Found minimum norm =  15.949421018265875  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0044921875000000005   minimal norm  15.949421018265875\n",
      "    Found minimum norm =  15.950707180790813  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  15.950707180790813\n",
      "    Found minimum norm =  15.950717032960268  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  15.950717032960268\n",
      "    Found minimum norm =  15.949560104932516  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0041015625   minimal norm  15.949560104932516\n",
      "    Found minimum norm =  15.950722097594971  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  15.950722097594971\n",
      "    Found minimum norm =  15.947113080414232  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.010351562500000001   minimal norm  15.947113080414232\n",
      "    Found minimum norm =  15.58612767262913  for s =  0.0974609375\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0974609375   minimal norm  15.58612767262913\n",
      "    Found minimum norm =  15.95076120710267  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  15.95076120710267\n",
      "    Found minimum norm =  15.950725215360556  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  15.950725215360556\n",
      "    Found minimum norm =  15.950591957393753  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0021484375   minimal norm  15.950591957393753\n",
      "    Found minimum norm =  15.950746838003482  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0001953125   minimal norm  15.950746838003482\n",
      "    Found minimum norm =  15.950728104870821  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  15.950728104870821\n",
      "    Found minimum norm =  15.951092161558929  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  15.951092161558929\n",
      "    Found minimum norm =  15.94566047848227  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0087890625   minimal norm  15.94566047848227\n",
      "    Found minimum norm =  15.950940712892985  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  15.950940712892985\n",
      "    Found minimum norm =  15.950695721787923  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0001953125   minimal norm  15.950695721787923\n",
      "    Found minimum norm =  15.895126849946884  for s =  0.03378906250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.03378906250000001   minimal norm  15.895126849946884\n",
      "    Found minimum norm =  15.952274236941372  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  15.952274236941372\n",
      "    Found minimum norm =  15.949541304010781  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0052734375   minimal norm  15.949541304010781\n",
      "    Found minimum norm =  15.94562722277271  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.009179687500000002   minimal norm  15.94562722277271\n",
      "    Found minimum norm =  15.950825672571298  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  15.950825672571298\n",
      "    Found minimum norm =  15.949421018265875  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0044921875000000005   minimal norm  15.949421018265875\n",
      "    Found minimum norm =  15.950727207047269  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0001953125   minimal norm  15.950727207047269\n",
      "    Found minimum norm =  15.950264260026469  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0072265625   minimal norm  15.950264260026469\n",
      "    Found minimum norm =  15.951092161558927  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  15.951092161558927\n",
      "    Found minimum norm =  15.931874005528025  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0166015625   minimal norm  15.931874005528025\n",
      "    Found minimum norm =  15.950775262018722  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0001953125   minimal norm  15.950775262018722\n",
      "    Found minimum norm =  15.951033477557353  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0001953125   minimal norm  15.951033477557353\n",
      "    Found minimum norm =  15.95064935817111  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0005859375000000001   minimal norm  15.95064935817111\n",
      "    Found minimum norm =  15.950711072477477  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  15.950711072477477\n",
      "    Found minimum norm =  15.950733721235762  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  15.950733721235762\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  15.950739309399399  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  15.950739309399399\n",
      "    Found minimum norm =  15.950825672571298  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  15.950825672571298\n",
      "    Found minimum norm =  15.95066411113512  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0005859375000000001   minimal norm  15.95066411113512\n",
      "    Found minimum norm =  15.950708333329771  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0001953125   minimal norm  15.950708333329771\n",
      "    Found minimum norm =  15.95084900450479  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  15.95084900450479\n",
      "    Found minimum norm =  15.950734741614616  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  15.950734741614616\n",
      "    Found minimum norm =  15.950722097594973  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  15.950722097594973\n",
      "    Found minimum norm =  15.238344079996493  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0998046875   minimal norm  15.238344079996493\n",
      "    Found minimum norm =  15.950719179665297  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  15.950719179665297\n",
      "    Found minimum norm =  15.950746838003482  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0001953125   minimal norm  15.950746838003482\n",
      "    Found minimum norm =  15.928273465650415  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.020507812500000003   minimal norm  15.928273465650415\n",
      "    Found minimum norm =  15.950822284722227  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  15.950822284722227\n",
      "    Found minimum norm =  15.950740592275888  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  15.950740592275888\n",
      "    Found minimum norm =  15.950775262018722  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0001953125   minimal norm  15.950775262018722\n",
      "    Found minimum norm =  15.948565544584655  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0060546875   minimal norm  15.948565544584655\n",
      "    Found minimum norm =  15.95070218954716  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0001953125   minimal norm  15.95070218954716\n",
      "    Found minimum norm =  15.950702963595763  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  15.950702963595763\n",
      "    Found minimum norm =  15.949541304010781  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0052734375   minimal norm  15.949541304010781\n",
      "    Found minimum norm =  15.950726888099137  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  15.950726888099137\n",
      "    Found minimum norm =  15.950698869122359  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0001953125   minimal norm  15.950698869122359\n",
      "    Found minimum norm =  15.950655135356445  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0009765625   minimal norm  15.950655135356445\n",
      "    Found minimum norm =  15.950708333329771  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  15.950708333329771\n",
      "    Found minimum norm =  15.950717032960267  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  15.950717032960267\n",
      "    Found minimum norm =  15.100055111054992  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0998046875   minimal norm  15.100055111054992\n",
      "    Found minimum norm =  15.950692567341077  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0001953125   minimal norm  15.950692567341077\n",
      "    Found minimum norm =  15.950940712892987  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  15.950940712892987\n",
      "    Found minimum norm =  15.946555983379243  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0107421875   minimal norm  15.946555983379243\n",
      "    Found minimum norm =  15.95070218954716  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0001953125   minimal norm  15.95070218954716\n",
      "    Found minimum norm =  15.950060252866676  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0052734375   minimal norm  15.950060252866676\n",
      "    Found minimum norm =  15.950733721235766  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  15.950733721235766\n",
      "    Found minimum norm =  15.950710326092873  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0001953125   minimal norm  15.950710326092873\n",
      "    Found minimum norm =  15.107968153646079  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0998046875   minimal norm  15.107968153646079\n",
      "    Found minimum norm =  15.950773919631326  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  15.950773919631326\n",
      "    Found minimum norm =  15.95072720704727  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0001953125   minimal norm  15.95072720704727\n",
      "    Found minimum norm =  15.931996003603667  for s =  0.038476562500000006\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.038476562500000006   minimal norm  15.931996003603667\n",
      "    Found minimum norm =  15.10005511105499  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0998046875   minimal norm  15.10005511105499\n",
      "    Found minimum norm =  15.950748680536874  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0001953125   minimal norm  15.950748680536874\n",
      "    Found minimum norm =  15.238344079996493  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0998046875   minimal norm  15.238344079996493\n",
      "    Found minimum norm =  15.58612767262913  for s =  0.0974609375\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0974609375   minimal norm  15.58612767262913\n",
      "    Found minimum norm =  15.950693225873263  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  15.950693225873263\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.820062613100205  for s =  0.032617187500000006\n",
      "Found that canonical is better because  13.820062613100205 14.640530797941768\n",
      "    Found minimum norm =  13.820062613100205  for s =  0.032617187500000006\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  3\n",
      "    Found minimum norm =  13.820062613100205  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  13.820062613100205\n",
      "    Found minimum norm =  13.820144130610991  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0001953125   minimal norm  13.820144130610991\n",
      "    Found minimum norm =  13.705335955100107  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0998046875   minimal norm  13.705335955100107\n",
      "    Found minimum norm =  13.819968115754142  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0017578125   minimal norm  13.819968115754142\n",
      "    Found minimum norm =  13.820148023417259  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.820148023417259\n",
      "    Found minimum norm =  13.813557324169158  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0498046875   minimal norm  13.813557324169158\n",
      "    Found minimum norm =  13.819403703275391  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0080078125   minimal norm  13.819403703275391\n",
      "    Found minimum norm =  13.82006425130096  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0001953125   minimal norm  13.82006425130096\n",
      "    Found minimum norm =  13.820079518541856  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  13.820079518541856\n",
      "    Found minimum norm =  13.76637533684684  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0998046875   minimal norm  13.76637533684684\n",
      "    Found minimum norm =  13.82005473694979  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0009765625   minimal norm  13.82005473694979\n",
      "    Found minimum norm =  13.820126104971653  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  13.820126104971653\n",
      "    Found minimum norm =  13.820112309713307  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  13.820112309713307\n",
      "    Found minimum norm =  13.820282371739625  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  13.820282371739625\n",
      "    Found minimum norm =  13.775760583941764  for s =  0.0333984375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0333984375   minimal norm  13.775760583941764\n",
      "    Found minimum norm =  13.820338550289215  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  13.820338550289215\n",
      "    Found minimum norm =  13.820148023417257  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  13.820148023417257\n",
      "    Found minimum norm =  13.820093750553221  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  13.820093750553221\n",
      "    Found minimum norm =  13.758134834006615  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0998046875   minimal norm  13.758134834006615\n",
      "    Found minimum norm =  13.820192183100238  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  13.820192183100238\n",
      "    Found minimum norm =  13.820070249467951  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  13.820070249467951\n",
      "    Found minimum norm =  13.820156028954347  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0001953125   minimal norm  13.820156028954347\n",
      "    Found minimum norm =  13.82014204578313  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0001953125   minimal norm  13.82014204578313\n",
      "    Found minimum norm =  13.813653549137534  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0498046875   minimal norm  13.813653549137534\n",
      "    Found minimum norm =  13.820112309713307  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  13.820112309713307\n",
      "    Found minimum norm =  13.820085436328595  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  13.820085436328595\n",
      "    Found minimum norm =  13.820666649768224  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  13.820666649768224\n",
      "    Found minimum norm =  13.820083573865059  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0001953125   minimal norm  13.820083573865059\n",
      "    Found minimum norm =  13.82015224027875  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0001953125   minimal norm  13.82015224027875\n",
      "    Found minimum norm =  13.82028082435363  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  13.82028082435363\n",
      "    Found minimum norm =  13.820120558515045  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  13.820120558515045\n",
      "    Found minimum norm =  13.820155982474859  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0001953125   minimal norm  13.820155982474859\n",
      "    Found minimum norm =  13.705335955100107  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0998046875   minimal norm  13.705335955100107\n",
      "    Found minimum norm =  13.804236030354081  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0498046875   minimal norm  13.804236030354081\n",
      "    Found minimum norm =  13.819862315895476  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0041015625   minimal norm  13.819862315895476\n",
      "    Found minimum norm =  13.753148616603617  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0498046875   minimal norm  13.753148616603617\n",
      "    Found minimum norm =  13.758134834006615  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0998046875   minimal norm  13.758134834006615\n",
      "    Found minimum norm =  13.819969984854206  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0021484375   minimal norm  13.819969984854206\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.820572012605872  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0001953125   minimal norm  13.820572012605872\n",
      "    Found minimum norm =  13.794372695630967  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0498046875   minimal norm  13.794372695630967\n",
      "    Found minimum norm =  13.82005473694979  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0009765625   minimal norm  13.82005473694979\n",
      "    Found minimum norm =  13.820835385934814  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0001953125   minimal norm  13.820835385934814\n",
      "    Found minimum norm =  13.051596477569383  for s =  0.08105468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.08105468750000001   minimal norm  13.051596477569383\n",
      "    Found minimum norm =  13.820078333975381  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0001953125   minimal norm  13.820078333975381\n",
      "    Found minimum norm =  13.820666649768226  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  13.820666649768226\n",
      "    Found minimum norm =  13.81999870837534  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0017578125   minimal norm  13.81999870837534\n",
      "    Found minimum norm =  13.819779239294549  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0037109375   minimal norm  13.819779239294549\n",
      "    Found minimum norm =  13.67208210901275  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.0998046875   minimal norm  13.67208210901275\n",
      "    Found minimum norm =  13.819403703275393  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0080078125   minimal norm  13.819403703275393\n",
      "    Found minimum norm =  13.816900294983839  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.012304687500000001   minimal norm  13.816900294983839\n",
      "    Found minimum norm =  13.82057201260587  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0001953125   minimal norm  13.82057201260587\n",
      "    Found minimum norm =  13.81299118649177  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.026757812500000002   minimal norm  13.81299118649177\n",
      "    Found minimum norm =  13.82014204578313  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0001953125   minimal norm  13.82014204578313\n",
      "    Found minimum norm =  13.820059953794232  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0001953125   minimal norm  13.820059953794232\n",
      "    Found minimum norm =  13.801501860698776  for s =  0.0912109375\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0912109375   minimal norm  13.801501860698776\n",
      "    Found minimum norm =  13.793308230770402  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0998046875   minimal norm  13.793308230770402\n",
      "    Found minimum norm =  13.775760583941763  for s =  0.0333984375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0333984375   minimal norm  13.775760583941763\n",
      "    Found minimum norm =  13.820145962977211  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  13.820145962977211\n",
      "    Found minimum norm =  13.819779239294549  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0037109375   minimal norm  13.819779239294549\n",
      "    Found minimum norm =  13.82006179514598  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0001953125   minimal norm  13.82006179514598\n",
      "    Found minimum norm =  13.820120558515047  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  13.820120558515047\n",
      "    Found minimum norm =  13.82011501811407  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  13.82011501811407\n",
      "    Found minimum norm =  13.79892273741398  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0498046875   minimal norm  13.79892273741398\n",
      "    Found minimum norm =  13.57174682952386  for s =  0.11582031250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.11582031250000001   minimal norm  13.57174682952386\n",
      "    Found minimum norm =  13.820144130610993  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  13.820144130610993\n",
      "    Found minimum norm =  13.820094672469821  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0001953125   minimal norm  13.820094672469821\n",
      "    Found minimum norm =  13.80423603035408  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0498046875   minimal norm  13.80423603035408\n",
      "    Found minimum norm =  13.820244736121223  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0001953125   minimal norm  13.820244736121223\n",
      "    Found minimum norm =  13.820093750553223  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.820093750553223\n",
      "    Found minimum norm =  13.820245589811963  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  13.820245589811963\n",
      "    Found minimum norm =  13.81690029498384  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.012304687500000001   minimal norm  13.81690029498384\n",
      "    Found minimum norm =  13.820492603069521  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  13.820492603069521\n",
      "    Found minimum norm =  13.766375336846838  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0998046875   minimal norm  13.766375336846838\n",
      "    Found minimum norm =  13.765710312831057  for s =  0.0974609375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0974609375   minimal norm  13.765710312831057\n",
      "    Found minimum norm =  13.820835385934814  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  13.820835385934814\n",
      "    Found minimum norm =  13.810644182512027  for s =  0.04355468750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.04355468750000001   minimal norm  13.810644182512027\n",
      "    Found minimum norm =  13.820085436328593  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  13.820085436328593\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.820139303232933  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  13.820139303232933\n",
      "    Found minimum norm =  13.820145962977213  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  13.820145962977213\n",
      "    Found minimum norm =  13.820130850946168  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0001953125   minimal norm  13.820130850946168\n",
      "    Found minimum norm =  13.813557324169162  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0498046875   minimal norm  13.813557324169162\n",
      "    Found minimum norm =  13.820245589811963  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  13.820245589811963\n",
      "    Found minimum norm =  13.819969984854204  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0021484375   minimal norm  13.819969984854204\n",
      "    Found minimum norm =  13.819958227641575  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0033203125000000003   minimal norm  13.819958227641575\n",
      "    Found minimum norm =  13.820156028954347  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0001953125   minimal norm  13.820156028954347\n",
      "    Found minimum norm =  13.820067350851385  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  13.820067350851385\n",
      "    Found minimum norm =  13.820059953794232  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0001953125   minimal norm  13.820059953794232\n",
      "    Found minimum norm =  13.820092955933353  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  13.820092955933353\n",
      "    Found minimum norm =  13.820282371739625  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  13.820282371739625\n",
      "    Found minimum norm =  13.820139303232931  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  13.820139303232931\n",
      "    Found minimum norm =  13.819998708375342  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0017578125   minimal norm  13.819998708375342\n",
      "    Found minimum norm =  13.795514292979904  for s =  0.09628906250000001\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.09628906250000001   minimal norm  13.795514292979904\n",
      "    Found minimum norm =  13.82028082435363  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  13.82028082435363\n",
      "    Found minimum norm =  13.820098582253694  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  13.820098582253694\n",
      "    Found minimum norm =  13.82011501811407  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  13.82011501811407\n",
      "    Found minimum norm =  13.364597037525115  for s =  0.12636718749999998\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.12636718749999998   minimal norm  13.364597037525115\n",
      "    Found minimum norm =  13.81996811575414  for s =  0.0017578125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0017578125   minimal norm  13.81996811575414\n",
      "    Found minimum norm =  13.820244736121223  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0001953125   minimal norm  13.820244736121223\n",
      "    Found minimum norm =  13.753148616603616  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0498046875   minimal norm  13.753148616603616\n",
      "    Found minimum norm =  13.82043439561157  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  13.82043439561157\n",
      "    Found minimum norm =  13.820192183100236  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  13.820192183100236\n",
      "    Found minimum norm =  13.819958227641576  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0033203125000000003   minimal norm  13.819958227641576\n",
      "    Found minimum norm =  13.81299118649177  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.026757812500000002   minimal norm  13.81299118649177\n",
      "    Found minimum norm =  13.81981341859416  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0033203125000000003   minimal norm  13.81981341859416\n",
      "    Found minimum norm =  13.820126104971651  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  13.820126104971651\n",
      "    Found minimum norm =  13.810644182512027  for s =  0.04355468750000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.04355468750000001   minimal norm  13.810644182512027\n",
      "    Found minimum norm =  13.820078333975381  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0001953125   minimal norm  13.820078333975381\n",
      "    Found minimum norm =  13.819546812962123  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0064453125000000005   minimal norm  13.819546812962123\n",
      "    Found minimum norm =  13.820083573865059  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0001953125   minimal norm  13.820083573865059\n",
      "    Found minimum norm =  13.795514292979904  for s =  0.09628906250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.09628906250000001   minimal norm  13.795514292979904\n",
      "    Found minimum norm =  13.820061795145978  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  13.820061795145978\n",
      "    Found minimum norm =  13.348014299814986  for s =  0.11933593749999999\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.11933593749999999   minimal norm  13.348014299814986\n",
      "    Found minimum norm =  13.82006425130096  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0001953125   minimal norm  13.82006425130096\n",
      "    Found minimum norm =  13.820492603069521  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  13.820492603069521\n",
      "    Found minimum norm =  13.794372695630967  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0498046875   minimal norm  13.794372695630967\n",
      "    Found minimum norm =  13.819813418594162  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0033203125000000003   minimal norm  13.819813418594162\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  13.813653549137534  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0498046875   minimal norm  13.813653549137534\n",
      "    Found minimum norm =  13.820092955933353  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  13.820092955933353\n",
      "    Found minimum norm =  13.7933082307704  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0998046875   minimal norm  13.7933082307704\n",
      "    Found minimum norm =  13.325084064341912  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0998046875   minimal norm  13.325084064341912\n",
      "    Found minimum norm =  13.820338550289215  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  13.820338550289215\n",
      "    Found minimum norm =  13.820130850946168  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0001953125   minimal norm  13.820130850946168\n",
      "    Found minimum norm =  13.672082109012747  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0998046875   minimal norm  13.672082109012747\n",
      "    Found minimum norm =  13.348014299814988  for s =  0.11933593749999999\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.11933593749999999   minimal norm  13.348014299814988\n",
      "    Found minimum norm =  13.820155982474859  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0001953125   minimal norm  13.820155982474859\n",
      "    Found minimum norm =  13.364597037525117  for s =  0.12636718749999998\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.12636718749999998   minimal norm  13.364597037525117\n",
      "    Found minimum norm =  13.57174682952386  for s =  0.11582031250000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.11582031250000001   minimal norm  13.57174682952386\n",
      "    Found minimum norm =  13.820062613100205  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  13.820062613100205\n",
      "    Found minimum norm =  12.944297361505205  for s =  0.026367187500000003\n",
      "Found that canonical is better because  12.944297361505205 13.051596477569383\n",
      "    Found minimum norm =  12.944297361505205  for s =  0.026367187500000003\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  4\n",
      "    Found minimum norm =  12.944297361505205  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  12.944297361505205\n",
      "    Found minimum norm =  12.944442508727404  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0001953125   minimal norm  12.944442508727404\n",
      "    Found minimum norm =  12.864100929438651  for s =  0.0931640625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0931640625   minimal norm  12.864100929438651\n",
      "    Found minimum norm =  12.938916623743305  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0154296875   minimal norm  12.938916623743305\n",
      "    Found minimum norm =  12.944431878326538  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  12.944431878326538\n",
      "    Found minimum norm =  12.91207011489522  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0998046875   minimal norm  12.91207011489522\n",
      "    Found minimum norm =  12.944333401362735  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  12.944333401362735\n",
      "    Found minimum norm =  12.94427776587575  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0009765625   minimal norm  12.94427776587575\n",
      "    Found minimum norm =  12.944304337634321  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0001953125   minimal norm  12.944304337634321\n",
      "    Found minimum norm =  12.860272745982591  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0998046875   minimal norm  12.860272745982591\n",
      "    Found minimum norm =  12.92734362493921  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.08222656250000002   minimal norm  12.92734362493921\n",
      "    Found minimum norm =  12.944360966710855  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0001953125   minimal norm  12.944360966710855\n",
      "    Found minimum norm =  12.944401413484304  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  12.944401413484304\n",
      "    Found minimum norm =  12.944611093477548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  12.944611093477548\n",
      "    Found minimum norm =  12.88878411932385  for s =  0.04941406250000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.04941406250000001   minimal norm  12.88878411932385\n",
      "    Found minimum norm =  12.94466231292713  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  12.94466231292713\n",
      "    Found minimum norm =  12.944431878326537  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  12.944431878326537\n",
      "    Found minimum norm =  12.943685080297596  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0115234375   minimal norm  12.943685080297596\n",
      "    Found minimum norm =  12.888699055641462  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0998046875   minimal norm  12.888699055641462\n",
      "    Found minimum norm =  12.944457465539857  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  12.944457465539857\n",
      "    Found minimum norm =  12.944390879430944  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  12.944390879430944\n",
      "    Found minimum norm =  12.940186801897916  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.013085937500000002   minimal norm  12.940186801897916\n",
      "    Found minimum norm =  12.944393200614185  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0001953125   minimal norm  12.944393200614185\n",
      "    Found minimum norm =  12.91179654762175  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.08964843750000001   minimal norm  12.91179654762175\n",
      "    Found minimum norm =  12.944401413484304  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  12.944401413484304\n",
      "    Found minimum norm =  12.944299330728155  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  12.944299330728155\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  12.94492797459021  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  12.94492797459021\n",
      "    Found minimum norm =  12.927317075771182  for s =  0.0857421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0857421875   minimal norm  12.927317075771182\n",
      "    Found minimum norm =  12.941439054893735  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.013085937500000002   minimal norm  12.941439054893735\n",
      "    Found minimum norm =  12.944557552415535  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  12.944557552415535\n",
      "    Found minimum norm =  12.944313538983401  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  12.944313538983401\n",
      "    Found minimum norm =  12.94442070867669  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0001953125   minimal norm  12.94442070867669\n",
      "    Found minimum norm =  12.864100929438651  for s =  0.0931640625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0931640625   minimal norm  12.864100929438651\n",
      "    Found minimum norm =  12.884234321584577  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0998046875   minimal norm  12.884234321584577\n",
      "    Found minimum norm =  12.939997462829266  for s =  0.038476562500000006\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.038476562500000006   minimal norm  12.939997462829266\n",
      "    Found minimum norm =  12.828975378684122  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.07832031250000002   minimal norm  12.828975378684122\n",
      "    Found minimum norm =  12.888699055641464  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0998046875   minimal norm  12.888699055641464\n",
      "    Found minimum norm =  12.944367208165767  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  12.944367208165767\n",
      "    Found minimum norm =  12.944722794128118  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0001953125   minimal norm  12.944722794128118\n",
      "    Found minimum norm =  12.871599422237177  for s =  0.09042968750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.09042968750000001   minimal norm  12.871599422237177\n",
      "    Found minimum norm =  12.927343624939212  for s =  0.08222656250000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.08222656250000002   minimal norm  12.927343624939212\n",
      "    Found minimum norm =  12.944959296923873  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0001953125   minimal norm  12.944959296923873\n",
      "    Found minimum norm =  12.444393493322345  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.07402343750000001   minimal norm  12.444393493322345\n",
      "    Found minimum norm =  12.944201077261132  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0021484375   minimal norm  12.944201077261132\n",
      "    Found minimum norm =  12.94492797459021  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  12.94492797459021\n",
      "    Found minimum norm =  12.942558876365188  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.009960937500000003   minimal norm  12.942558876365188\n",
      "    Found minimum norm =  12.939816114425007  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.024804687500000002   minimal norm  12.939816114425007\n",
      "    Found minimum norm =  12.682862508295297  for s =  0.1298828125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.1298828125   minimal norm  12.682862508295297\n",
      "    Found minimum norm =  12.944333401362734  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  12.944333401362734\n",
      "    Found minimum norm =  12.90938455491172  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0498046875   minimal norm  12.90938455491172\n",
      "    Found minimum norm =  12.944722794128118  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0001953125   minimal norm  12.944722794128118\n",
      "    Found minimum norm =  12.90391639630896  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0724609375   minimal norm  12.90391639630896\n",
      "    Found minimum norm =  12.944393200614185  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0001953125   minimal norm  12.944393200614185\n",
      "    Found minimum norm =  12.943431703678797  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0060546875   minimal norm  12.943431703678797\n",
      "    Found minimum norm =  12.926843040012871  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.07480468750000001   minimal norm  12.926843040012871\n",
      "    Found minimum norm =  12.915515958629673  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0998046875   minimal norm  12.915515958629673\n",
      "    Found minimum norm =  12.888784119323851  for s =  0.04941406250000001\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.04941406250000001   minimal norm  12.888784119323851\n",
      "    Found minimum norm =  12.944394210655132  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  12.944394210655132\n",
      "    Found minimum norm =  12.939816114425009  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.024804687500000002   minimal norm  12.939816114425009\n",
      "    Found minimum norm =  12.94200853174911  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0220703125   minimal norm  12.94200853174911\n",
      "    Found minimum norm =  12.944313538983403  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  12.944313538983403\n",
      "    Found minimum norm =  12.944378530010693  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  12.944378530010693\n",
      "    Found minimum norm =  12.912351463471737  for s =  0.0685546875\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0685546875   minimal norm  12.912351463471737\n",
      "    Found minimum norm =  12.781895318019458  for s =  0.08925781250000002\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.08925781250000002   minimal norm  12.781895318019458\n",
      "    Found minimum norm =  12.944442508727404  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  12.944442508727404\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  12.93528430473807  for s =  0.0431640625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0431640625   minimal norm  12.93528430473807\n",
      "    Found minimum norm =  12.884234321584577  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0998046875   minimal norm  12.884234321584577\n",
      "    Found minimum norm =  12.94447877551072  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0001953125   minimal norm  12.94447877551072\n",
      "    Found minimum norm =  12.943685080297598  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0115234375   minimal norm  12.943685080297598\n",
      "    Found minimum norm =  12.94448648186325  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  12.94448648186325\n",
      "    Found minimum norm =  12.909384554911723  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0498046875   minimal norm  12.909384554911723\n",
      "    Found minimum norm =  12.944755685077974  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  12.944755685077974\n",
      "    Found minimum norm =  12.860272745982591  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0998046875   minimal norm  12.860272745982591\n",
      "    Found minimum norm =  12.944313259592299  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  12.944313259592299\n",
      "    Found minimum norm =  12.944959296923873  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  12.944959296923873\n",
      "    Found minimum norm =  12.919915943296713  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0705078125   minimal norm  12.919915943296713\n",
      "    Found minimum norm =  12.944299330728157  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  12.944299330728157\n",
      "    Found minimum norm =  12.944374677853578  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  12.944374677853578\n",
      "    Found minimum norm =  12.944394210655132  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  12.944394210655132\n",
      "    Found minimum norm =  12.944380719197461  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0001953125   minimal norm  12.944380719197461\n",
      "    Found minimum norm =  12.912070114895219  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0998046875   minimal norm  12.912070114895219\n",
      "    Found minimum norm =  12.94448648186325  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  12.94448648186325\n",
      "    Found minimum norm =  12.944367208165769  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  12.944367208165769\n",
      "    Found minimum norm =  12.93428892353684  for s =  0.040429687500000006\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.040429687500000006   minimal norm  12.93428892353684\n",
      "    Found minimum norm =  12.940186801897914  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.013085937500000002   minimal norm  12.940186801897914\n",
      "    Found minimum norm =  12.94430762403849  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0001953125   minimal norm  12.94430762403849\n",
      "    Found minimum norm =  12.9434317036788  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0060546875   minimal norm  12.9434317036788\n",
      "    Found minimum norm =  12.944339216102623  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  12.944339216102623\n",
      "    Found minimum norm =  12.944611093477548  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  12.944611093477548\n",
      "    Found minimum norm =  12.944374677853581  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  12.944374677853581\n",
      "    Found minimum norm =  12.942558876365188  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.009960937500000003   minimal norm  12.942558876365188\n",
      "    Found minimum norm =  12.944370829965917  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0001953125   minimal norm  12.944370829965917\n",
      "    Found minimum norm =  12.944557552415535  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  12.944557552415535\n",
      "    Found minimum norm =  12.944328782019674  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  12.944328782019674\n",
      "    Found minimum norm =  12.944378530010693  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  12.944378530010693\n",
      "    Found minimum norm =  12.68662149068312  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0998046875   minimal norm  12.68662149068312\n",
      "    Found minimum norm =  12.938916623743305  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0154296875   minimal norm  12.938916623743305\n",
      "    Found minimum norm =  12.94447877551072  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0001953125   minimal norm  12.94447877551072\n",
      "    Found minimum norm =  12.828975378684122  for s =  0.07832031250000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.07832031250000002   minimal norm  12.828975378684122\n",
      "    Found minimum norm =  12.944673511439758  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  12.944673511439758\n",
      "    Found minimum norm =  12.944457465539859  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  12.944457465539859\n",
      "    Found minimum norm =  12.93428892353684  for s =  0.040429687500000006\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.040429687500000006   minimal norm  12.93428892353684\n",
      "    Found minimum norm =  12.903916396308961  for s =  0.0724609375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0724609375   minimal norm  12.903916396308961\n",
      "    Found minimum norm =  12.943654357558257  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0072265625   minimal norm  12.943654357558257\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  12.944360966710855  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0001953125   minimal norm  12.944360966710855\n",
      "    Found minimum norm =  12.919915943296711  for s =  0.0705078125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0705078125   minimal norm  12.919915943296711\n",
      "    Found minimum norm =  12.944201077261132  for s =  0.0021484375\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0021484375   minimal norm  12.944201077261132\n",
      "    Found minimum norm =  12.92665890391467  for s =  0.0427734375\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0427734375   minimal norm  12.92665890391467\n",
      "    Found minimum norm =  12.927317075771182  for s =  0.0857421875\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0857421875   minimal norm  12.927317075771182\n",
      "    Found minimum norm =  12.944370829965914  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  12.944370829965914\n",
      "    Found minimum norm =  12.94200853174911  for s =  0.0220703125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0220703125   minimal norm  12.94200853174911\n",
      "    Found minimum norm =  12.652650939659603  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0998046875   minimal norm  12.652650939659603\n",
      "    Found minimum norm =  12.94427776587575  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0009765625   minimal norm  12.94427776587575\n",
      "    Found minimum norm =  12.944755685077974  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  12.944755685077974\n",
      "    Found minimum norm =  12.871599422237178  for s =  0.09042968750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.09042968750000001   minimal norm  12.871599422237178\n",
      "    Found minimum norm =  12.943654357558257  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0072265625   minimal norm  12.943654357558257\n",
      "    Found minimum norm =  12.911796547621748  for s =  0.08964843750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.08964843750000001   minimal norm  12.911796547621748\n",
      "    Found minimum norm =  12.944339216102623  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  12.944339216102623\n",
      "    Found minimum norm =  12.915515958629669  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0998046875   minimal norm  12.915515958629669\n",
      "    Found minimum norm =  12.633925515676456  for s =  0.0970703125\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0970703125   minimal norm  12.633925515676456\n",
      "    Found minimum norm =  12.94466231292713  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  12.94466231292713\n",
      "    Found minimum norm =  12.944380719197463  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0001953125   minimal norm  12.944380719197463\n",
      "    Found minimum norm =  12.682862508295294  for s =  0.1298828125\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.1298828125   minimal norm  12.682862508295294\n",
      "    Found minimum norm =  12.652650939659603  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0998046875   minimal norm  12.652650939659603\n",
      "    Found minimum norm =  12.94442070867669  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0001953125   minimal norm  12.94442070867669\n",
      "    Found minimum norm =  12.68662149068312  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0998046875   minimal norm  12.68662149068312\n",
      "    Found minimum norm =  12.781895318019458  for s =  0.08925781250000002\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.08925781250000002   minimal norm  12.781895318019458\n",
      "    Found minimum norm =  12.944297361505205  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  12.944297361505205\n",
      "    Found minimum norm =  12.524102003918857  for s =  0.0166015625\n",
      "Found that canonical is worse because  12.524102003918857 12.444393493322345\n",
      "    Found minimum norm =  12.444393493322345  for s =  0.07402343750000001\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n",
      "Flow step  5\n",
      "    Found minimum norm =  12.444393493322345  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  12.444393493322345\n",
      "    Found minimum norm =  12.444544443490683  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0001953125   minimal norm  12.444544443490683\n",
      "    Found minimum norm =  12.199343014849973  for s =  0.1494140625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.1494140625   minimal norm  12.199343014849973\n",
      "    Found minimum norm =  12.43911963292513  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.024804687500000002   minimal norm  12.43911963292513\n",
      "    Found minimum norm =  12.44451123922862  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  12.44451123922862\n",
      "    Found minimum norm =  12.24966548761504  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.14980468750000003   minimal norm  12.24966548761504\n",
      "    Found minimum norm =  12.429075001886556  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0998046875   minimal norm  12.429075001886556\n",
      "    Found minimum norm =  12.444421087660805  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0001953125   minimal norm  12.444421087660805\n",
      "    Found minimum norm =  12.437809372011277  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0498046875   minimal norm  12.437809372011277\n",
      "    Found minimum norm =  12.276266226135602  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.14980468750000003   minimal norm  12.276266226135602\n",
      "    Found minimum norm =  12.282060700551984  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.14980468750000003   minimal norm  12.282060700551984\n",
      "    Found minimum norm =  12.339936856462542  for s =  0.14589843750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.14589843750000003   minimal norm  12.339936856462542\n",
      "    Found minimum norm =  12.444494881599088  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  12.444494881599088\n",
      "    Found minimum norm =  12.422189745914515  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0998046875   minimal norm  12.422189745914515\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  12.334775611867965  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0998046875   minimal norm  12.334775611867965\n",
      "    Found minimum norm =  12.444602176748864  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  12.444602176748864\n",
      "    Found minimum norm =  12.44451123922862  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  12.44451123922862\n",
      "    Found minimum norm =  12.41865461793764  for s =  0.0990234375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0990234375   minimal norm  12.41865461793764\n",
      "    Found minimum norm =  12.381270277157263  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0998046875   minimal norm  12.381270277157263\n",
      "    Found minimum norm =  12.405643335662203  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0998046875   minimal norm  12.405643335662203\n",
      "    Found minimum norm =  12.439007832133884  for s =  0.08925781250000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.08925781250000002   minimal norm  12.439007832133884\n",
      "    Found minimum norm =  12.435051766550565  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0361328125   minimal norm  12.435051766550565\n",
      "    Found minimum norm =  12.39679821493656  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0998046875   minimal norm  12.39679821493656\n",
      "    Found minimum norm =  12.245216364673558  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.14980468750000003   minimal norm  12.245216364673558\n",
      "    Found minimum norm =  12.44449488159909  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  12.44449488159909\n",
      "    Found minimum norm =  12.350113305356887  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0998046875   minimal norm  12.350113305356887\n",
      "    Found minimum norm =  12.444869008518664  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  12.444869008518664\n",
      "    Found minimum norm =  12.338831574848548  for s =  0.14667968750000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.14667968750000004   minimal norm  12.338831574848548\n",
      "    Found minimum norm =  12.401772350897717  for s =  0.08105468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.08105468750000001   minimal norm  12.401772350897717\n",
      "    Found minimum norm =  12.398568194508101  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0998046875   minimal norm  12.398568194508101\n",
      "    Found minimum norm =  12.401030946200951  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0998046875   minimal norm  12.401030946200951\n",
      "    Found minimum norm =  12.444518971022356  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0001953125   minimal norm  12.444518971022356\n",
      "    Found minimum norm =  12.19934301484997  for s =  0.1494140625\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.1494140625   minimal norm  12.19934301484997\n",
      "    Found minimum norm =  12.244660001742002  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.14980468750000003   minimal norm  12.244660001742002\n",
      "    Found minimum norm =  12.316037082040676  for s =  0.14511718750000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.14511718750000002   minimal norm  12.316037082040676\n",
      "    Found minimum norm =  12.2358158012448  for s =  0.13222656249999998\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.13222656249999998   minimal norm  12.2358158012448\n",
      "    Found minimum norm =  12.381270277157261  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0998046875   minimal norm  12.381270277157261\n",
      "    Found minimum norm =  12.444456895910637  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  12.444456895910637\n",
      "    Found minimum norm =  12.444652859303908  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0001953125   minimal norm  12.444652859303908\n",
      "    Found minimum norm =  12.217544494969383  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.14980468750000003   minimal norm  12.217544494969383\n",
      "    Found minimum norm =  12.282060700551988  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.14980468750000003   minimal norm  12.282060700551988\n",
      "    Found minimum norm =  12.444842228915387  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0001953125   minimal norm  12.444842228915387\n",
      "    Found minimum norm =  12.394666062768353  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0322265625   minimal norm  12.394666062768353\n",
      "    Found minimum norm =  12.443304474536008  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0134765625   minimal norm  12.443304474536008\n",
      "    Found minimum norm =  12.444869008518662  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  12.444869008518662\n",
      "    Found minimum norm =  12.442058614461668  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0158203125   minimal norm  12.442058614461668\n",
      "    Found minimum norm =  12.392261445302493  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0998046875   minimal norm  12.392261445302493\n",
      "    Found minimum norm =  12.012682008161176  for s =  0.16308593750000006\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.16308593750000006   minimal norm  12.012682008161176\n",
      "    Found minimum norm =  12.429075001886556  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0998046875   minimal norm  12.429075001886556\n",
      "    Found minimum norm =  12.293373563753947  for s =  0.1318359375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.1318359375   minimal norm  12.293373563753947\n",
      "    Found minimum norm =  12.444652859303908  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0001953125   minimal norm  12.444652859303908\n",
      "    Found minimum norm =  12.275620605702345  for s =  0.1369140625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.1369140625   minimal norm  12.275620605702345\n",
      "    Found minimum norm =  12.39679821493656  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0998046875   minimal norm  12.39679821493656\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  12.443168838775255  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.010351562500000001   minimal norm  12.443168838775255\n",
      "    Found minimum norm =  12.404059483741904  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0998046875   minimal norm  12.404059483741904\n",
      "    Found minimum norm =  12.319125306275543  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.14980468750000003   minimal norm  12.319125306275543\n",
      "    Found minimum norm =  12.334775611867965  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0998046875   minimal norm  12.334775611867965\n",
      "    Found minimum norm =  12.340298314429274  for s =  0.1396484375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.1396484375   minimal norm  12.340298314429274\n",
      "    Found minimum norm =  12.392261445302491  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0998046875   minimal norm  12.392261445302491\n",
      "    Found minimum norm =  12.38592969839952  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0998046875   minimal norm  12.38592969839952\n",
      "    Found minimum norm =  12.401030946200951  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0998046875   minimal norm  12.401030946200951\n",
      "    Found minimum norm =  12.34352912053939  for s =  0.1443359375\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.1443359375   minimal norm  12.34352912053939\n",
      "    Found minimum norm =  12.283478012042476  for s =  0.1384765625\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.1384765625   minimal norm  12.283478012042476\n",
      "    Found minimum norm =  12.208940424506066  for s =  0.1287109375\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.1287109375   minimal norm  12.208940424506066\n",
      "    Found minimum norm =  12.444544443490683  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  12.444544443490683\n",
      "    Found minimum norm =  12.39254573307935  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0998046875   minimal norm  12.39254573307935\n",
      "    Found minimum norm =  12.244660001742002  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.14980468750000003   minimal norm  12.244660001742002\n",
      "    Found minimum norm =  12.444497452987877  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0001953125   minimal norm  12.444497452987877\n",
      "    Found minimum norm =  12.418654617937642  for s =  0.0990234375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0990234375   minimal norm  12.418654617937642\n",
      "    Found minimum norm =  12.44448623602907  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  12.44448623602907\n",
      "    Found minimum norm =  12.293373563753944  for s =  0.1318359375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.1318359375   minimal norm  12.293373563753944\n",
      "    Found minimum norm =  12.44462406896211  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  12.44462406896211\n",
      "    Found minimum norm =  12.276266226135602  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.14980468750000003   minimal norm  12.276266226135602\n",
      "    Found minimum norm =  12.444439916790481  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  12.444439916790481\n",
      "    Found minimum norm =  12.444842228915386  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  12.444842228915386\n",
      "    Found minimum norm =  12.344859015641838  for s =  0.13496093750000004\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.13496093750000004   minimal norm  12.344859015641838\n",
      "    Found minimum norm =  12.350113305356885  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0998046875   minimal norm  12.350113305356885\n",
      "    Found minimum norm =  12.441788890914845  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0833984375   minimal norm  12.441788890914845\n",
      "    Found minimum norm =  12.340298314429274  for s =  0.1396484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.1396484375   minimal norm  12.340298314429274\n",
      "    Found minimum norm =  12.44450583012127  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0001953125   minimal norm  12.44450583012127\n",
      "    Found minimum norm =  12.249665487615038  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.14980468750000003   minimal norm  12.249665487615038\n",
      "    Found minimum norm =  12.444486236029071  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  12.444486236029071\n",
      "    Found minimum norm =  12.444456895910637  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  12.444456895910637\n",
      "    Found minimum norm =  12.37280684223477  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0998046875   minimal norm  12.37280684223477\n",
      "    Found minimum norm =  12.435051766550565  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0361328125   minimal norm  12.435051766550565\n",
      "    Found minimum norm =  12.444379625499549  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0005859375000000001   minimal norm  12.444379625499549\n",
      "    Found minimum norm =  12.443168838775255  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.010351562500000001   minimal norm  12.443168838775255\n",
      "    Found minimum norm =  12.302800810872489  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.14980468750000003   minimal norm  12.302800810872489\n",
      "    Found minimum norm =  12.422189745914517  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0998046875   minimal norm  12.422189745914517\n",
      "    Found minimum norm =  12.441788890914845  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0833984375   minimal norm  12.441788890914845\n",
      "    Found minimum norm =  12.442058614461667  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0158203125   minimal norm  12.442058614461667\n",
      "    Found minimum norm =  12.444474282194559  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0001953125   minimal norm  12.444474282194559\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  12.398568194508098  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0998046875   minimal norm  12.398568194508098\n",
      "    Found minimum norm =  12.38344009823633  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0998046875   minimal norm  12.38344009823633\n",
      "    Found minimum norm =  12.343529120539385  for s =  0.1443359375\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.1443359375   minimal norm  12.343529120539385\n",
      "    Found minimum norm =  12.036786447561184  for s =  0.14902343750000002\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.14902343750000002   minimal norm  12.036786447561184\n",
      "    Found minimum norm =  12.439119632925129  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.024804687500000002   minimal norm  12.439119632925129\n",
      "    Found minimum norm =  12.444497452987875  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0001953125   minimal norm  12.444497452987875\n",
      "    Found minimum norm =  12.235815801244799  for s =  0.13222656249999998\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.13222656249999998   minimal norm  12.235815801244799\n",
      "    Found minimum norm =  12.44457719150096  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0001953125   minimal norm  12.44457719150096\n",
      "    Found minimum norm =  12.4056433356622  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0998046875   minimal norm  12.4056433356622\n",
      "    Found minimum norm =  12.37280684223477  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0998046875   minimal norm  12.37280684223477\n",
      "    Found minimum norm =  12.275620605702343  for s =  0.1369140625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.1369140625   minimal norm  12.275620605702343\n",
      "    Found minimum norm =  12.438773430527316  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.07402343750000001   minimal norm  12.438773430527316\n",
      "    Found minimum norm =  12.339936856462536  for s =  0.14589843750000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.14589843750000003   minimal norm  12.339936856462536\n",
      "    Found minimum norm =  12.34485901564184  for s =  0.13496093750000004\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.13496093750000004   minimal norm  12.34485901564184\n",
      "    Found minimum norm =  12.443304474536008  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0134765625   minimal norm  12.443304474536008\n",
      "    Found minimum norm =  12.370559005523384  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0998046875   minimal norm  12.370559005523384\n",
      "    Found minimum norm =  12.338831574848548  for s =  0.14667968750000004\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.14667968750000004   minimal norm  12.338831574848548\n",
      "    Found minimum norm =  12.444474282194559  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  12.444474282194559\n",
      "    Found minimum norm =  12.385929698399517  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0998046875   minimal norm  12.385929698399517\n",
      "    Found minimum norm =  12.03245555031117  for s =  0.14199218750000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.14199218750000003   minimal norm  12.03245555031117\n",
      "    Found minimum norm =  12.444421087660803  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0001953125   minimal norm  12.444421087660803\n",
      "    Found minimum norm =  12.44462406896211  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  12.44462406896211\n",
      "    Found minimum norm =  12.217544494969387  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.14980468750000003   minimal norm  12.217544494969387\n",
      "    Found minimum norm =  12.438773430527316  for s =  0.07402343750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.07402343750000001   minimal norm  12.438773430527316\n",
      "    Found minimum norm =  12.245216364673556  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.14980468750000003   minimal norm  12.245216364673556\n",
      "    Found minimum norm =  12.302800810872489  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.14980468750000003   minimal norm  12.302800810872489\n",
      "    Found minimum norm =  12.319125306275538  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.14980468750000003   minimal norm  12.319125306275538\n",
      "    Found minimum norm =  12.011160181280665  for s =  0.1291015625\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.1291015625   minimal norm  12.011160181280665\n",
      "    Found minimum norm =  12.444602176748864  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  12.444602176748864\n",
      "    Found minimum norm =  12.444505830121273  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0001953125   minimal norm  12.444505830121273\n",
      "    Found minimum norm =  12.01268200816117  for s =  0.16308593750000006\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.16308593750000006   minimal norm  12.01268200816117\n",
      "    Found minimum norm =  12.032455550311171  for s =  0.14199218750000003\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.14199218750000003   minimal norm  12.032455550311171\n",
      "    Found minimum norm =  12.444518971022358  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0001953125   minimal norm  12.444518971022358\n",
      "    Found minimum norm =  12.036786447561182  for s =  0.14902343750000002\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.14902343750000002   minimal norm  12.036786447561182\n",
      "    Found minimum norm =  12.208940424506068  for s =  0.1287109375\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.1287109375   minimal norm  12.208940424506068\n",
      "    Found minimum norm =  12.444393493322345  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  12.444393493322345\n",
      "    Found minimum norm =  12.144590102660024  for s =  0.0173828125\n",
      "Found that canonical is worse because  12.144590102660024 12.011160181280665\n",
      "    Found minimum norm =  12.011160181280665  for s =  0.1291015625\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n",
      "Flow step  6\n",
      "    Found minimum norm =  12.011160181280665  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  12.011160181280665\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  12.011511653664844  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0001953125   minimal norm  12.011511653664844\n",
      "    Found minimum norm =  11.974260070555589  for s =  0.028710937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.028710937500000002   minimal norm  11.974260070555589\n",
      "    Found minimum norm =  12.00820135564153  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0087890625   minimal norm  12.00820135564153\n",
      "    Found minimum norm =  12.011318643576026  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  12.011318643576026\n",
      "    Found minimum norm =  12.01130891305209  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  12.01130891305209\n",
      "    Found minimum norm =  12.01157095816223  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  12.01157095816223\n",
      "    Found minimum norm =  12.011299211144824  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0001953125   minimal norm  12.011299211144824\n",
      "    Found minimum norm =  12.010362865545698  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0029296875   minimal norm  12.010362865545698\n",
      "    Found minimum norm =  11.988275789128886  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.0283203125   minimal norm  11.988275789128886\n",
      "    Found minimum norm =  12.011232882410956  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  12.011232882410956\n",
      "    Found minimum norm =  12.009734571046815  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0060546875   minimal norm  12.009734571046815\n",
      "    Found minimum norm =  12.01138632147099  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  12.01138632147099\n",
      "    Found minimum norm =  12.01163447438769  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  12.01163447438769\n",
      "    Found minimum norm =  11.978951268729972  for s =  0.0330078125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0330078125   minimal norm  11.978951268729972\n",
      "    Found minimum norm =  12.011625597334993  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  12.011625597334993\n",
      "    Found minimum norm =  12.011318643576024  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  12.011318643576024\n",
      "    Found minimum norm =  12.011182048307845  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0001953125   minimal norm  12.011182048307845\n",
      "    Found minimum norm =  12.011293694152293  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  12.011293694152293\n",
      "    Found minimum norm =  12.011422323480765  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  12.011422323480765\n",
      "    Found minimum norm =  12.011676936788382  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  12.011676936788382\n",
      "    Found minimum norm =  12.002009991555118  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0154296875   minimal norm  12.002009991555118\n",
      "    Found minimum norm =  12.01123502544844  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0001953125   minimal norm  12.01123502544844\n",
      "    Found minimum norm =  12.011132335756196  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0009765625   minimal norm  12.011132335756196\n",
      "    Found minimum norm =  12.01138632147099  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  12.01138632147099\n",
      "    Found minimum norm =  12.011206244758826  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  12.011206244758826\n",
      "    Found minimum norm =  12.011939553290164  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  12.011939553290164\n",
      "    Found minimum norm =  11.986618361374257  for s =  0.0302734375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.0302734375   minimal norm  11.986618361374257\n",
      "    Found minimum norm =  11.99957970465006  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.019335937500000004   minimal norm  11.99957970465006\n",
      "    Found minimum norm =  12.011513986719274  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  12.011513986719274\n",
      "    Found minimum norm =  12.011168505504713  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  12.011168505504713\n",
      "    Found minimum norm =  12.011342151826934  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0001953125   minimal norm  12.011342151826934\n",
      "    Found minimum norm =  11.974260070555587  for s =  0.028710937500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.028710937500000002   minimal norm  11.974260070555587\n",
      "    Found minimum norm =  12.010301801998043  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0052734375   minimal norm  12.010301801998043\n",
      "    Found minimum norm =  12.01029828213095  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.005664062500000001   minimal norm  12.01029828213095\n",
      "    Found minimum norm =  11.954186589213862  for s =  0.0314453125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0314453125   minimal norm  11.954186589213862\n",
      "    Found minimum norm =  12.011293694152293  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  12.011293694152293\n",
      "    Found minimum norm =  12.01169117914408  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  12.01169117914408\n",
      "    Found minimum norm =  12.004493138885383  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0126953125   minimal norm  12.004493138885383\n",
      "    Found minimum norm =  11.990420653942685  for s =  0.0310546875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0310546875   minimal norm  11.990420653942685\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  12.011232882410956  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  12.011232882410956\n",
      "    Found minimum norm =  12.011597159112998  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0001953125   minimal norm  12.011597159112998\n",
      "    Found minimum norm =  11.814288297481232  for s =  0.03964843750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.03964843750000001   minimal norm  11.814288297481232\n",
      "    Found minimum norm =  12.00311341864392  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0146484375   minimal norm  12.00311341864392\n",
      "    Found minimum norm =  12.011939553290164  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  12.011939553290164\n",
      "    Found minimum norm =  12.010251036846677  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0041015625   minimal norm  12.010251036846677\n",
      "    Found minimum norm =  12.009623179464393  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0076171875   minimal norm  12.009623179464393\n",
      "    Found minimum norm =  11.929612375860865  for s =  0.058007812500000006\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.058007812500000006   minimal norm  11.929612375860865\n",
      "    Found minimum norm =  12.01157095816223  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  12.01157095816223\n",
      "    Found minimum norm =  11.998751524556523  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0212890625   minimal norm  11.998751524556523\n",
      "    Found minimum norm =  12.004493138885385  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0126953125   minimal norm  12.004493138885385\n",
      "    Found minimum norm =  11.979916030945178  for s =  0.0314453125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0314453125   minimal norm  11.979916030945178\n",
      "    Found minimum norm =  12.01123502544844  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0001953125   minimal norm  12.01123502544844\n",
      "    Found minimum norm =  12.006810734581228  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0095703125   minimal norm  12.006810734581228\n",
      "    Found minimum norm =  11.995077835046857  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.019726562500000003   minimal norm  11.995077835046857\n",
      "    Found minimum norm =  12.01016787858008  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.0060546875   minimal norm  12.01016787858008\n",
      "    Found minimum norm =  11.978951268729968  for s =  0.0330078125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0330078125   minimal norm  11.978951268729968\n",
      "    Found minimum norm =  12.011231691029788  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  12.011231691029788\n",
      "    Found minimum norm =  12.009623179464393  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0076171875   minimal norm  12.009623179464393\n",
      "    Found minimum norm =  11.99036161005452  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0271484375   minimal norm  11.99036161005452\n",
      "    Found minimum norm =  12.011168505504711  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0001953125   minimal norm  12.011168505504711\n",
      "    Found minimum norm =  12.011209633609802  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  12.011209633609802\n",
      "    Found minimum norm =  12.004022745179684  for s =  0.014257812500000001\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.014257812500000001   minimal norm  12.004022745179684\n",
      "    Found minimum norm =  11.819227139294279  for s =  0.0564453125\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0564453125   minimal norm  11.819227139294279\n",
      "    Found minimum norm =  12.011511653664844  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  12.011511653664844\n",
      "    Found minimum norm =  11.973565699585619  for s =  0.031835937499999994\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.031835937499999994   minimal norm  11.973565699585619\n",
      "    Found minimum norm =  12.010301801998041  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0052734375   minimal norm  12.010301801998041\n",
      "    Found minimum norm =  12.01138190251221  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0001953125   minimal norm  12.01138190251221\n",
      "    Found minimum norm =  12.011182048307845  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  12.011182048307845\n",
      "    Found minimum norm =  12.011599044643644  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  12.011599044643644\n",
      "    Found minimum norm =  11.998751524556523  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0212890625   minimal norm  11.998751524556523\n",
      "    Found minimum norm =  12.01152097957029  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  12.01152097957029\n",
      "    Found minimum norm =  11.988275789128885  for s =  0.0283203125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0283203125   minimal norm  11.988275789128885\n",
      "    Found minimum norm =  12.01146693615787  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  12.01146693615787\n",
      "    Found minimum norm =  12.011597159112998  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  12.011597159112998\n",
      "    Found minimum norm =  12.002488721919017  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.0166015625   minimal norm  12.002488721919017\n",
      "    Found minimum norm =  12.011206244758824  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0001953125   minimal norm  12.011206244758824\n",
      "    Found minimum norm =  12.011216237254455  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  12.011216237254455\n",
      "    Found minimum norm =  12.011231691029788  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  12.011231691029788\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  12.01146543323703  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0001953125   minimal norm  12.01146543323703\n",
      "    Found minimum norm =  12.01130891305209  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0001953125   minimal norm  12.01130891305209\n",
      "    Found minimum norm =  12.011599044643646  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  12.011599044643646\n",
      "    Found minimum norm =  12.01169117914408  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  12.01169117914408\n",
      "    Found minimum norm =  11.974968845860069  for s =  0.0314453125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0314453125   minimal norm  11.974968845860069\n",
      "    Found minimum norm =  12.002009991555116  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0154296875   minimal norm  12.002009991555116\n",
      "    Found minimum norm =  12.009683786668138  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0033203125000000003   minimal norm  12.009683786668138\n",
      "    Found minimum norm =  12.006810734581228  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0095703125   minimal norm  12.006810734581228\n",
      "    Found minimum norm =  12.011319930613057  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  12.011319930613057\n",
      "    Found minimum norm =  12.011634474387693  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  12.011634474387693\n",
      "    Found minimum norm =  12.011216237254455  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  12.011216237254455\n",
      "    Found minimum norm =  12.010251036846675  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0041015625   minimal norm  12.010251036846675\n",
      "    Found minimum norm =  12.01161361683395  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0001953125   minimal norm  12.01161361683395\n",
      "    Found minimum norm =  12.011513986719274  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  12.011513986719274\n",
      "    Found minimum norm =  12.011231951515235  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  12.011231951515235\n",
      "    Found minimum norm =  12.011209633609802  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  12.011209633609802\n",
      "    Found minimum norm =  11.836849534405436  for s =  0.0587890625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0587890625   minimal norm  11.836849534405436\n",
      "    Found minimum norm =  12.008201355641532  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0087890625   minimal norm  12.008201355641532\n",
      "    Found minimum norm =  12.01138190251221  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0001953125   minimal norm  12.01138190251221\n",
      "    Found minimum norm =  11.954186589213858  for s =  0.0314453125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0314453125   minimal norm  11.954186589213858\n",
      "    Found minimum norm =  12.010347287721164  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0052734375   minimal norm  12.010347287721164\n",
      "    Found minimum norm =  12.011422323480764  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  12.011422323480764\n",
      "    Found minimum norm =  11.974968845860069  for s =  0.0314453125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0314453125   minimal norm  11.974968845860069\n",
      "    Found minimum norm =  11.979916030945173  for s =  0.0314453125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0314453125   minimal norm  11.979916030945173\n",
      "    Found minimum norm =  12.01118856678551  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0001953125   minimal norm  12.01118856678551\n",
      "    Found minimum norm =  12.009734571046813  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0060546875   minimal norm  12.009734571046813\n",
      "    Found minimum norm =  12.002488721919018  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0166015625   minimal norm  12.002488721919018\n",
      "    Found minimum norm =  12.00311341864392  for s =  0.0146484375\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0146484375   minimal norm  12.00311341864392\n",
      "    Found minimum norm =  11.997169568752694  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.016992187500000002   minimal norm  11.997169568752694\n",
      "    Found minimum norm =  11.986618361374255  for s =  0.0302734375\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0302734375   minimal norm  11.986618361374255\n",
      "    Found minimum norm =  12.01161361683395  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  12.01161361683395\n",
      "    Found minimum norm =  11.990361610054517  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0271484375   minimal norm  11.990361610054517\n",
      "    Found minimum norm =  11.798306789306002  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0677734375   minimal norm  11.798306789306002\n",
      "    Found minimum norm =  12.011299211144822  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0001953125   minimal norm  12.011299211144822\n",
      "    Found minimum norm =  12.01152097957029  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  12.01152097957029\n",
      "    Found minimum norm =  11.990420653942685  for s =  0.0310546875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0310546875   minimal norm  11.990420653942685\n",
      "    Found minimum norm =  12.01118856678551  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0001953125   minimal norm  12.01118856678551\n",
      "    Found minimum norm =  12.011132335756196  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0009765625   minimal norm  12.011132335756196\n",
      "    Found minimum norm =  12.011319930613059  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  12.011319930613059\n",
      "    Found minimum norm =  12.010167878580079  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0060546875   minimal norm  12.010167878580079\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.75801262535294  for s =  0.0478515625\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.0478515625   minimal norm  11.75801262535294\n",
      "    Found minimum norm =  12.011625597334993  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  12.011625597334993\n",
      "    Found minimum norm =  12.011465433237028  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0001953125   minimal norm  12.011465433237028\n",
      "    Found minimum norm =  11.929612375860854  for s =  0.058007812500000006\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.058007812500000006   minimal norm  11.929612375860854\n",
      "    Found minimum norm =  11.798306789306002  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0677734375   minimal norm  11.798306789306002\n",
      "    Found minimum norm =  12.011342151826932  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0001953125   minimal norm  12.011342151826932\n",
      "    Found minimum norm =  11.836849534405435  for s =  0.0587890625\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0587890625   minimal norm  11.836849534405435\n",
      "    Found minimum norm =  11.819227139294279  for s =  0.0564453125\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0564453125   minimal norm  11.819227139294279\n",
      "    Found minimum norm =  12.011160181280665  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  12.011160181280665\n",
      "    Found minimum norm =  11.67313340408039  for s =  0.009179687500000002\n",
      "Found that canonical is better because  11.67313340408039 11.75801262535294\n",
      "    Found minimum norm =  11.67313340408039  for s =  0.009179687500000002\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  7\n",
      "    Found minimum norm =  11.67313340408039  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  11.67313340408039\n",
      "    Found minimum norm =  11.673260709471025  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0001953125   minimal norm  11.673260709471025\n",
      "    Found minimum norm =  11.526749368424374  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0998046875   minimal norm  11.526749368424374\n",
      "    Found minimum norm =  11.673134633781855  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0001953125   minimal norm  11.673134633781855\n",
      "    Found minimum norm =  11.673188944381625  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0001953125   minimal norm  11.673188944381625\n",
      "    Found minimum norm =  11.424854319742899  for s =  0.1572265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.1572265625   minimal norm  11.424854319742899\n",
      "    Found minimum norm =  11.673278443650494  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  11.673278443650494\n",
      "    Found minimum norm =  11.67317176452969  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0001953125   minimal norm  11.67317176452969\n",
      "    Found minimum norm =  11.67290587374616  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0029296875   minimal norm  11.67290587374616\n",
      "    Found minimum norm =  11.56429127806906  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.14980468750000003   minimal norm  11.56429127806906\n",
      "    Found minimum norm =  11.395054455488095  for s =  0.1857421875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.1857421875   minimal norm  11.395054455488095\n",
      "    Found minimum norm =  11.65172440675369  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0849609375   minimal norm  11.65172440675369\n",
      "    Found minimum norm =  11.643848218976089  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0998046875   minimal norm  11.643848218976089\n",
      "    Found minimum norm =  11.635484603909491  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0998046875   minimal norm  11.635484603909491\n",
      "    Found minimum norm =  11.577235568507904  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.0998046875   minimal norm  11.577235568507904\n",
      "    Found minimum norm =  11.673224123208497  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  11.673224123208497\n",
      "    Found minimum norm =  11.673188944381625  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  11.673188944381625\n",
      "    Found minimum norm =  11.660234579134727  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0998046875   minimal norm  11.660234579134727\n",
      "    Found minimum norm =  11.673177678159448  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  11.673177678159448\n",
      "    Found minimum norm =  11.591847521631488  for s =  0.14199218750000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.14199218750000003   minimal norm  11.591847521631488\n",
      "    Found minimum norm =  11.673399013143108  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  11.673399013143108\n",
      "    Found minimum norm =  11.672591953825686  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.013085937500000002   minimal norm  11.672591953825686\n",
      "    Found minimum norm =  11.648865838072481  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.07480468750000001   minimal norm  11.648865838072481\n",
      "    Found minimum norm =  11.65961406679273  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.07480468750000001   minimal norm  11.65961406679273\n",
      "    Found minimum norm =  11.643848218976089  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0998046875   minimal norm  11.643848218976089\n",
      "    Found minimum norm =  11.641310436194276  for s =  0.0919921875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0919921875   minimal norm  11.641310436194276\n",
      "    Found minimum norm =  11.67364079291384  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  11.67364079291384\n",
      "    Found minimum norm =  11.447299648492724  for s =  0.16074218750000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.16074218750000002   minimal norm  11.447299648492724\n",
      "    Found minimum norm =  11.669088197227873  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0275390625   minimal norm  11.669088197227873\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.673324365090004  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0001953125   minimal norm  11.673324365090004\n",
      "    Found minimum norm =  11.632358066727988  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0998046875   minimal norm  11.632358066727988\n",
      "    Found minimum norm =  11.67331436253192  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0001953125   minimal norm  11.67331436253192\n",
      "    Found minimum norm =  11.526749368424374  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.0998046875   minimal norm  11.526749368424374\n",
      "    Found minimum norm =  11.64682200007982  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0998046875   minimal norm  11.64682200007982\n",
      "    Found minimum norm =  11.672554549163555  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.010351562500000001   minimal norm  11.672554549163555\n",
      "    Found minimum norm =  11.611754871127504  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0677734375   minimal norm  11.611754871127504\n",
      "    Found minimum norm =  11.673177678159448  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  11.673177678159448\n",
      "    Found minimum norm =  11.673248243039664  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  11.673248243039664\n",
      "    Found minimum norm =  11.655540923033824  for s =  0.059179687499999994\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.059179687499999994   minimal norm  11.655540923033824\n",
      "    Found minimum norm =  11.405869124532211  for s =  0.1560546875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.1560546875   minimal norm  11.405869124532211\n",
      "    Found minimum norm =  11.395054455488097  for s =  0.1857421875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.1857421875   minimal norm  11.395054455488097\n",
      "    Found minimum norm =  11.673404415470126  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0001953125   minimal norm  11.673404415470126\n",
      "    Found minimum norm =  11.59563733109829  for s =  0.04082031250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.04082031250000001   minimal norm  11.59563733109829\n",
      "    Found minimum norm =  11.670436639613925  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.0279296875   minimal norm  11.670436639613925\n",
      "    Found minimum norm =  11.67364079291384  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  11.67364079291384\n",
      "    Found minimum norm =  11.671663930128313  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0095703125   minimal norm  11.671663930128313\n",
      "    Found minimum norm =  11.556938238340338  for s =  0.14589843750000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.14589843750000003   minimal norm  11.556938238340338\n",
      "    Found minimum norm =  11.146629360289772  for s =  0.1650390625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.1650390625   minimal norm  11.146629360289772\n",
      "    Found minimum norm =  11.673278443650494  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  11.673278443650494\n",
      "    Found minimum norm =  11.514247630928848  for s =  0.1396484375\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.1396484375   minimal norm  11.514247630928848\n",
      "    Found minimum norm =  11.655540923033824  for s =  0.059179687499999994\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.059179687499999994   minimal norm  11.655540923033824\n",
      "    Found minimum norm =  11.570436928058  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.0998046875   minimal norm  11.570436928058\n",
      "    Found minimum norm =  11.648865838072481  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.07480468750000001   minimal norm  11.648865838072481\n",
      "    Found minimum norm =  11.666126685631863  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0279296875   minimal norm  11.666126685631863\n",
      "    Found minimum norm =  11.650514446094334  for s =  0.0662109375\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0662109375   minimal norm  11.650514446094334\n",
      "    Found minimum norm =  11.613829390778742  for s =  0.1416015625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.1416015625   minimal norm  11.613829390778742\n",
      "    Found minimum norm =  11.577235568507907  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0998046875   minimal norm  11.577235568507907\n",
      "    Found minimum norm =  11.567239209163064  for s =  0.13730468750000002\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.13730468750000002   minimal norm  11.567239209163064\n",
      "    Found minimum norm =  11.556938238340331  for s =  0.14589843750000003\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.14589843750000003   minimal norm  11.556938238340331\n",
      "    Found minimum norm =  11.534467910292888  for s =  0.1388671875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.1388671875   minimal norm  11.534467910292888\n",
      "    Found minimum norm =  11.632358066727988  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0998046875   minimal norm  11.632358066727988\n",
      "    Found minimum norm =  11.673175379345798  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  11.673175379345798\n",
      "    Found minimum norm =  11.615075759343023  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0998046875   minimal norm  11.615075759343023\n",
      "    Found minimum norm =  11.488019635925106  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0998046875   minimal norm  11.488019635925106\n",
      "    Found minimum norm =  11.673260709471025  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  11.673260709471025\n",
      "    Found minimum norm =  11.584589499951589  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0998046875   minimal norm  11.584589499951589\n",
      "    Found minimum norm =  11.64682200007982  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0998046875   minimal norm  11.64682200007982\n",
      "    Found minimum norm =  11.673173572399413  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0001953125   minimal norm  11.673173572399413\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.660234579134729  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0998046875   minimal norm  11.660234579134729\n",
      "    Found minimum norm =  11.673298932170582  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  11.673298932170582\n",
      "    Found minimum norm =  11.514247630928825  for s =  0.1396484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.1396484375   minimal norm  11.514247630928825\n",
      "    Found minimum norm =  11.673219292663928  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0001953125   minimal norm  11.673219292663928\n",
      "    Found minimum norm =  11.564291278069067  for s =  0.14980468750000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.14980468750000003   minimal norm  11.564291278069067\n",
      "    Found minimum norm =  11.673162744904877  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  11.673162744904877\n",
      "    Found minimum norm =  11.673404415470127  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  11.673404415470127\n",
      "    Found minimum norm =  11.624862556560664  for s =  0.09628906250000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.09628906250000001   minimal norm  11.624862556560664\n",
      "    Found minimum norm =  11.641310436194264  for s =  0.0919921875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0919921875   minimal norm  11.641310436194264\n",
      "    Found minimum norm =  11.673240411514712  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0001953125   minimal norm  11.673240411514712\n",
      "    Found minimum norm =  11.567239209163072  for s =  0.13730468750000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.13730468750000002   minimal norm  11.567239209163072\n",
      "    Found minimum norm =  11.673315478780784  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0001953125   minimal norm  11.673315478780784\n",
      "    Found minimum norm =  11.424854319742899  for s =  0.1572265625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.1572265625   minimal norm  11.424854319742899\n",
      "    Found minimum norm =  11.673298932170583  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  11.673298932170583\n",
      "    Found minimum norm =  11.673248243039664  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  11.673248243039664\n",
      "    Found minimum norm =  11.508969361652312  for s =  0.1326171875\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.1326171875   minimal norm  11.508969361652312\n",
      "    Found minimum norm =  11.672591953825684  for s =  0.013085937500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.013085937500000002   minimal norm  11.672591953825684\n",
      "    Found minimum norm =  11.672552953548275  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0037109375   minimal norm  11.672552953548275\n",
      "    Found minimum norm =  11.66612668563186  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0279296875   minimal norm  11.66612668563186\n",
      "    Found minimum norm =  11.429172469900593  for s =  0.1845703125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.1845703125   minimal norm  11.429172469900593\n",
      "    Found minimum norm =  11.63548460390948  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0998046875   minimal norm  11.63548460390948\n",
      "    Found minimum norm =  11.673240411514712  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0001953125   minimal norm  11.673240411514712\n",
      "    Found minimum norm =  11.671663930128313  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0095703125   minimal norm  11.671663930128313\n",
      "    Found minimum norm =  11.673277278560702  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0001953125   minimal norm  11.673277278560702\n",
      "    Found minimum norm =  11.673324365090004  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0001953125   minimal norm  11.673324365090004\n",
      "    Found minimum norm =  11.673145342776836  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  11.673145342776836\n",
      "    Found minimum norm =  11.673175379345796  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  11.673175379345796\n",
      "    Found minimum norm =  11.425465409349908  for s =  0.1271484375\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.1271484375   minimal norm  11.425465409349908\n",
      "    Found minimum norm =  11.673134633781855  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  11.673134633781855\n",
      "    Found minimum norm =  11.673173572399413  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0001953125   minimal norm  11.673173572399413\n",
      "    Found minimum norm =  11.611754871127495  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0677734375   minimal norm  11.611754871127495\n",
      "    Found minimum norm =  11.662429359567508  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0498046875   minimal norm  11.662429359567508\n",
      "    Found minimum norm =  11.591847521631465  for s =  0.14199218750000003\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.14199218750000003   minimal norm  11.591847521631465\n",
      "    Found minimum norm =  11.508969361652314  for s =  0.1326171875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.1326171875   minimal norm  11.508969361652314\n",
      "    Found minimum norm =  11.570436928058001  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0998046875   minimal norm  11.570436928058001\n",
      "    Found minimum norm =  11.620265635815127  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0998046875   minimal norm  11.620265635815127\n",
      "    Found minimum norm =  11.651724406753681  for s =  0.0849609375\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0849609375   minimal norm  11.651724406753681\n",
      "    Found minimum norm =  11.624862556560664  for s =  0.09628906250000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.09628906250000001   minimal norm  11.624862556560664\n",
      "    Found minimum norm =  11.670436639613925  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0279296875   minimal norm  11.670436639613925\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.646131726509168  for s =  0.0677734375\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0677734375   minimal norm  11.646131726509168\n",
      "    Found minimum norm =  11.447299648492736  for s =  0.16074218750000002\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.16074218750000002   minimal norm  11.447299648492736\n",
      "    Found minimum norm =  11.6732772785607  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  11.6732772785607\n",
      "    Found minimum norm =  11.53446791029286  for s =  0.1388671875\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.1388671875   minimal norm  11.53446791029286\n",
      "    Found minimum norm =  11.424380731274807  for s =  0.1291015625\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.1291015625   minimal norm  11.424380731274807\n",
      "    Found minimum norm =  11.67317176452969  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0001953125   minimal norm  11.67317176452969\n",
      "    Found minimum norm =  11.673219292663932  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0001953125   minimal norm  11.673219292663932\n",
      "    Found minimum norm =  11.405869124532215  for s =  0.1560546875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.1560546875   minimal norm  11.405869124532215\n",
      "    Found minimum norm =  11.620265635815127  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0998046875   minimal norm  11.620265635815127\n",
      "    Found minimum norm =  11.65961406679273  for s =  0.07480468750000001\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.07480468750000001   minimal norm  11.65961406679273\n",
      "    Found minimum norm =  11.429172469900596  for s =  0.1845703125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.1845703125   minimal norm  11.429172469900596\n",
      "    Found minimum norm =  11.613829390778719  for s =  0.1416015625\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.1416015625   minimal norm  11.613829390778719\n",
      "    Found minimum norm =  11.48200124598579  for s =  0.07753906250000002\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.07753906250000002   minimal norm  11.48200124598579\n",
      "    Found minimum norm =  11.673224123208497  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  11.673224123208497\n",
      "    Found minimum norm =  11.673315478780786  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0001953125   minimal norm  11.673315478780786\n",
      "    Found minimum norm =  11.14662936028975  for s =  0.1650390625\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.1650390625   minimal norm  11.14662936028975\n",
      "    Found minimum norm =  11.424380731274802  for s =  0.1291015625\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.1291015625   minimal norm  11.424380731274802\n",
      "    Found minimum norm =  11.67331436253192  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0001953125   minimal norm  11.67331436253192\n",
      "    Found minimum norm =  11.425465409349906  for s =  0.1271484375\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.1271484375   minimal norm  11.425465409349906\n",
      "    Found minimum norm =  11.488019635925108  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.0998046875   minimal norm  11.488019635925108\n",
      "    Found minimum norm =  11.67313340408039  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  11.67313340408039\n",
      "    Found minimum norm =  11.489604114203512  for s =  0.0115234375\n",
      "Found that canonical is worse because  11.489604114203512 11.14662936028975\n",
      "    Found minimum norm =  11.14662936028975  for s =  0.1650390625\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n",
      "Flow step  8\n",
      "    Found minimum norm =  11.14662936028975  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  11.14662936028975\n",
      "    Found minimum norm =  11.140215147360996  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0064453125000000005   minimal norm  11.140215147360996\n",
      "    Found minimum norm =  11.130964536045994  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0087890625   minimal norm  11.130964536045994\n",
      "    Found minimum norm =  11.13730989537862  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.008398437500000001   minimal norm  11.13730989537862\n",
      "    Found minimum norm =  11.130223119100677  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0115234375   minimal norm  11.130223119100677\n",
      "    Found minimum norm =  11.14744467556623  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.0001953125   minimal norm  11.14744467556623\n",
      "    Found minimum norm =  11.148242095779382  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  11.148242095779382\n",
      "    Found minimum norm =  11.146622595473566  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0001953125   minimal norm  11.146622595473566\n",
      "    Found minimum norm =  11.128191715849129  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.008398437500000001   minimal norm  11.128191715849129\n",
      "    Found minimum norm =  11.105943586289586  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.020507812500000003   minimal norm  11.105943586289586\n",
      "    Found minimum norm =  11.146761832508297  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0001953125   minimal norm  11.146761832508297\n",
      "    Found minimum norm =  11.138422758196604  for s =  0.008398437500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.008398437500000001   minimal norm  11.138422758196604\n",
      "    Found minimum norm =  11.147868141811227  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.0001953125   minimal norm  11.147868141811227\n",
      "    Found minimum norm =  11.146646266787364  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  11.146646266787364\n",
      "    Found minimum norm =  11.128698435377384  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.012304687500000001   minimal norm  11.128698435377384\n",
      "    Found minimum norm =  11.147579716528712  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.0001953125   minimal norm  11.147579716528712\n",
      "    Found minimum norm =  11.147238192654115  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0001953125   minimal norm  11.147238192654115\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.125841830403505  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0134765625   minimal norm  11.125841830403505\n",
      "    Found minimum norm =  11.147076593485556  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0001953125   minimal norm  11.147076593485556\n",
      "    Found minimum norm =  11.147044847072  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.0001953125   minimal norm  11.147044847072\n",
      "    Found minimum norm =  11.147507082735402  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  11.147507082735402\n",
      "    Found minimum norm =  11.10759412122977  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0232421875   minimal norm  11.10759412122977\n",
      "    Found minimum norm =  11.144571507860997  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.0041015625   minimal norm  11.144571507860997\n",
      "    Found minimum norm =  11.14342782140287  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0044921875000000005   minimal norm  11.14342782140287\n",
      "    Found minimum norm =  11.146962322392781  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0001953125   minimal norm  11.146962322392781\n",
      "    Found minimum norm =  11.14697896883625  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0001953125   minimal norm  11.14697896883625\n",
      "    Found minimum norm =  11.14783604539798  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  11.14783604539798\n",
      "    Found minimum norm =  11.126370893725044  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.012304687500000001   minimal norm  11.126370893725044\n",
      "    Found minimum norm =  11.133067355582893  for s =  0.010351562500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.010351562500000001   minimal norm  11.133067355582893\n",
      "    Found minimum norm =  11.143671827912346  for s =  0.0041015625\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.0041015625   minimal norm  11.143671827912346\n",
      "    Found minimum norm =  11.14727485575799  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0001953125   minimal norm  11.14727485575799\n",
      "    Found minimum norm =  11.140734294472216  for s =  0.0076171875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0076171875   minimal norm  11.140734294472216\n",
      "    Found minimum norm =  11.042480577968519  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.022851562500000002   minimal norm  11.042480577968519\n",
      "    Found minimum norm =  11.146602857488746  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0005859375000000001   minimal norm  11.146602857488746\n",
      "    Found minimum norm =  11.146358648970216  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0037109375   minimal norm  11.146358648970216\n",
      "    Found minimum norm =  10.930822586458701  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.03574218750000001   minimal norm  10.930822586458701\n",
      "    Found minimum norm =  11.147393687041383  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  11.147393687041383\n",
      "    Found minimum norm =  11.147257485910593  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  11.147257485910593\n",
      "    Found minimum norm =  11.113174093750787  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0162109375   minimal norm  11.113174093750787\n",
      "    Found minimum norm =  11.104515503886962  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.0138671875   minimal norm  11.104515503886962\n",
      "    Found minimum norm =  11.147196514911753  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.0001953125   minimal norm  11.147196514911753\n",
      "    Found minimum norm =  11.095576113480588  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.020117187500000005   minimal norm  11.095576113480588\n",
      "    Found minimum norm =  10.875661058423763  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.0306640625   minimal norm  10.875661058423763\n",
      "    Found minimum norm =  11.107332912653023  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.019335937500000004   minimal norm  11.107332912653023\n",
      "    Found minimum norm =  11.14690908192606  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  11.14690908192606\n",
      "    Found minimum norm =  11.142360634968059  for s =  0.0044921875000000005\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.0044921875000000005   minimal norm  11.142360634968059\n",
      "    Found minimum norm =  11.141880519982704  for s =  0.0060546875\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.0060546875   minimal norm  11.141880519982704\n",
      "    Found minimum norm =  11.134818968546044  for s =  0.015039062499999999\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.015039062499999999   minimal norm  11.134818968546044\n",
      "    Found minimum norm =  11.147717121869746  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  11.147717121869746\n",
      "    Found minimum norm =  11.117927341704947  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.016992187500000002   minimal norm  11.117927341704947\n",
      "    Found minimum norm =  11.084988437431827  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.017773437500000003   minimal norm  11.084988437431827\n",
      "    Found minimum norm =  11.101089720161252  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.019726562500000003   minimal norm  11.101089720161252\n",
      "    Found minimum norm =  11.146906688199751  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0001953125   minimal norm  11.146906688199751\n",
      "    Found minimum norm =  11.074581217986509  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0212890625   minimal norm  11.074581217986509\n",
      "    Found minimum norm =  11.081103840540973  for s =  0.0236328125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0236328125   minimal norm  11.081103840540973\n",
      "    Found minimum norm =  11.119605240428657  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.020117187500000005   minimal norm  11.119605240428657\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.127239812249618  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0115234375   minimal norm  11.127239812249618\n",
      "    Found minimum norm =  11.146729997218001  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  11.146729997218001\n",
      "    Found minimum norm =  11.146714716959652  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0001953125   minimal norm  11.146714716959652\n",
      "    Found minimum norm =  11.029110688044941  for s =  0.0306640625\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0306640625   minimal norm  11.029110688044941\n",
      "    Found minimum norm =  11.141717650617219  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.0068359375   minimal norm  11.141717650617219\n",
      "    Found minimum norm =  11.14692118411121  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  11.14692118411121\n",
      "    Found minimum norm =  11.134374300955288  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.009960937500000003   minimal norm  11.134374300955288\n",
      "    Found minimum norm =  10.854843975391086  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0380859375   minimal norm  10.854843975391086\n",
      "    Found minimum norm =  11.147171271632429  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0001953125   minimal norm  11.147171271632429\n",
      "    Found minimum norm =  11.04958590669701  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.0271484375   minimal norm  11.04958590669701\n",
      "    Found minimum norm =  11.132186560105657  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.012304687500000001   minimal norm  11.132186560105657\n",
      "    Found minimum norm =  11.147565785075711  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0001953125   minimal norm  11.147565785075711\n",
      "    Found minimum norm =  11.146765171619437  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.0001953125   minimal norm  11.146765171619437\n",
      "    Found minimum norm =  11.14707996201371  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  11.14707996201371\n",
      "    Found minimum norm =  11.146813722555247  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.0001953125   minimal norm  11.146813722555247\n",
      "    Found minimum norm =  11.14545748609366  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0029296875   minimal norm  11.14545748609366\n",
      "    Found minimum norm =  11.110499807134204  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0232421875   minimal norm  11.110499807134204\n",
      "    Found minimum norm =  11.147213228209404  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.0001953125   minimal norm  11.147213228209404\n",
      "    Found minimum norm =  11.147828909837472  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  11.147828909837472\n",
      "    Found minimum norm =  11.076930278741834  for s =  0.022460937500000003\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.022460937500000003   minimal norm  11.076930278741834\n",
      "    Found minimum norm =  11.145863648021082  for s =  0.0025390625000000005\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0025390625000000005   minimal norm  11.145863648021082\n",
      "    Found minimum norm =  11.137430581021427  for s =  0.0068359375\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.0068359375   minimal norm  11.137430581021427\n",
      "    Found minimum norm =  11.147073685383878  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  11.147073685383878\n",
      "    Found minimum norm =  11.147133017273786  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0001953125   minimal norm  11.147133017273786\n",
      "    Found minimum norm =  11.137280874063498  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0134765625   minimal norm  11.137280874063498\n",
      "    Found minimum norm =  11.148367544323092  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  11.148367544323092\n",
      "    Found minimum norm =  11.148352269308234  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0001953125   minimal norm  11.148352269308234\n",
      "    Found minimum norm =  11.054762585049996  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.0275390625   minimal norm  11.054762585049996\n",
      "    Found minimum norm =  11.14676699980078  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0001953125   minimal norm  11.14676699980078\n",
      "    Found minimum norm =  11.092798271435065  for s =  0.0138671875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.0138671875   minimal norm  11.092798271435065\n",
      "    Found minimum norm =  11.132270776358633  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.0107421875   minimal norm  11.132270776358633\n",
      "    Found minimum norm =  11.14689440585017  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  11.14689440585017\n",
      "    Found minimum norm =  11.148556050767798  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  11.148556050767798\n",
      "    Found minimum norm =  11.048599608653426  for s =  0.0275390625\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.0275390625   minimal norm  11.048599608653426\n",
      "    Found minimum norm =  11.142266764828817  for s =  0.0080078125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0080078125   minimal norm  11.142266764828817\n",
      "    Found minimum norm =  11.148224733611364  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.0001953125   minimal norm  11.148224733611364\n",
      "    Found minimum norm =  11.14037015116387  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0064453125000000005   minimal norm  11.14037015116387\n",
      "    Found minimum norm =  11.14672911698823  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  11.14672911698823\n",
      "    Found minimum norm =  11.147028320314046  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0001953125   minimal norm  11.147028320314046\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  11.012799733433647  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0259765625   minimal norm  11.012799733433647\n",
      "    Found minimum norm =  11.146678367206743  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  11.146678367206743\n",
      "    Found minimum norm =  11.146597285886637  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0005859375000000001   minimal norm  11.146597285886637\n",
      "    Found minimum norm =  11.060344297659842  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0212890625   minimal norm  11.060344297659842\n",
      "    Found minimum norm =  11.060325366093565  for s =  0.0259765625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.0259765625   minimal norm  11.060325366093565\n",
      "    Found minimum norm =  11.147389147077602  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0001953125   minimal norm  11.147389147077602\n",
      "    Found minimum norm =  11.068233040277585  for s =  0.022851562500000002\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.022851562500000002   minimal norm  11.068233040277585\n",
      "    Found minimum norm =  11.013586479810234  for s =  0.032617187500000006\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.032617187500000006   minimal norm  11.013586479810234\n",
      "    Found minimum norm =  11.147008259932278  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0001953125   minimal norm  11.147008259932278\n",
      "    Found minimum norm =  11.132770259344081  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.0095703125   minimal norm  11.132770259344081\n",
      "    Found minimum norm =  11.126675495908822  for s =  0.012304687500000001\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.012304687500000001   minimal norm  11.126675495908822\n",
      "    Found minimum norm =  11.107323315364093  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.0232421875   minimal norm  11.107323315364093\n",
      "    Found minimum norm =  11.095000171709287  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.020507812500000003   minimal norm  11.095000171709287\n",
      "    Found minimum norm =  11.119159006604601  for s =  0.0166015625\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.0166015625   minimal norm  11.119159006604601\n",
      "    Found minimum norm =  11.1477683670189  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  11.1477683670189\n",
      "    Found minimum norm =  11.146650204452039  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  11.146650204452039\n",
      "    Found minimum norm =  10.862304499765395  for s =  0.0373046875\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.0373046875   minimal norm  10.862304499765395\n",
      "    Found minimum norm =  11.147317813054523  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.0001953125   minimal norm  11.147317813054523\n",
      "    Found minimum norm =  11.117644593829738  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.0158203125   minimal norm  11.117644593829738\n",
      "    Found minimum norm =  11.126815820166515  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.0212890625   minimal norm  11.126815820166515\n",
      "    Found minimum norm =  11.14560917979417  for s =  0.0029296875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0029296875   minimal norm  11.14560917979417\n",
      "    Found minimum norm =  11.058458712119464  for s =  0.026757812500000002\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.026757812500000002   minimal norm  11.058458712119464\n",
      "    Found minimum norm =  11.147542112525267  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  11.147542112525267\n",
      "    Found minimum norm =  11.146700995506865  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0001953125   minimal norm  11.146700995506865\n",
      "    Found minimum norm =  10.706229682617144  for s =  0.040039062500000014\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.040039062500000014   minimal norm  10.706229682617144\n",
      "    Found minimum norm =  11.147104849018781  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.0001953125   minimal norm  11.147104849018781\n",
      "    Found minimum norm =  11.14773671737612  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0001953125   minimal norm  11.14773671737612\n",
      "    Found minimum norm =  11.143918680387422  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0033203125000000003   minimal norm  11.143918680387422\n",
      "    Found minimum norm =  10.82515674395031  for s =  0.0486328125\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0486328125   minimal norm  10.82515674395031\n",
      "    Found minimum norm =  11.147906132031299  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0001953125   minimal norm  11.147906132031299\n",
      "    Found minimum norm =  10.846397675797819  for s =  0.0380859375\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0380859375   minimal norm  10.846397675797819\n",
      "    Found minimum norm =  10.787168926085524  for s =  0.04550781250000001\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.04550781250000001   minimal norm  10.787168926085524\n",
      "    Found minimum norm =  11.14662936028975  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  11.14662936028975\n",
      "    Found minimum norm =  10.633663263935862  for s =  0.0064453125000000005\n",
      "Found that canonical is better because  10.633663263935862 10.706229682617144\n",
      "    Found minimum norm =  10.633663263935862  for s =  0.0064453125000000005\n",
      "Flowing forwards with type  canonical\n",
      "[]\n",
      "Flow step  9\n",
      "    Found minimum norm =  10.633663263935862  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZZ  gave for s =  0.0001953125   minimal norm  10.633663263935862\n",
      "    Found minimum norm =  10.6277857327589  for s =  0.0240234375\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZZ1  gave for s =  0.0240234375   minimal norm  10.6277857327589\n",
      "    Found minimum norm =  10.633651972452643  for s =  0.0005859375000000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ1Z  gave for s =  0.0005859375000000001   minimal norm  10.633651972452643\n",
      "    Found minimum norm =  10.62828546644616  for s =  0.0173828125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZZ11  gave for s =  0.0173828125   minimal norm  10.62828546644616\n",
      "    Found minimum norm =  10.619665630425954  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1ZZ  gave for s =  0.0322265625   minimal norm  10.619665630425954\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  10.621610897464292  for s =  0.019726562500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ1Z1  gave for s =  0.019726562500000003   minimal norm  10.621610897464292\n",
      "    Found minimum norm =  10.633712422286784  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ11Z  gave for s =  0.0001953125   minimal norm  10.633712422286784\n",
      "    Found minimum norm =  10.633673111931671  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZZ111  gave for s =  0.0001953125   minimal norm  10.633673111931671\n",
      "    Found minimum norm =  10.625554920113903  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZZ  gave for s =  0.0181640625   minimal norm  10.625554920113903\n",
      "    Found minimum norm =  10.5875819360316  for s =  0.061132812499999994\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1ZZ1  gave for s =  0.061132812499999994   minimal norm  10.5875819360316\n",
      "    Found minimum norm =  10.633553094143682  for s =  0.0037109375\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z1Z  gave for s =  0.0037109375   minimal norm  10.633553094143682\n",
      "    Found minimum norm =  10.63235620952643  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1Z11  gave for s =  0.0158203125   minimal norm  10.63235620952643\n",
      "    Found minimum norm =  10.562772830631742  for s =  0.08886718750000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11ZZ  gave for s =  0.08886718750000001   minimal norm  10.562772830631742\n",
      "    Found minimum norm =  10.633729996579708  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZZ11Z1  gave for s =  0.0001953125   minimal norm  10.633729996579708\n",
      "    Found minimum norm =  10.633329963956994  for s =  0.005664062500000001\n",
      "Flow step output with generator type  single_commutator using string  ZZZ111Z  gave for s =  0.005664062500000001   minimal norm  10.633329963956994\n",
      "    Found minimum norm =  10.622570043726435  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZZ1111  gave for s =  0.020898437500000002   minimal norm  10.622570043726435\n",
      "    Found minimum norm =  10.632736472559843  for s =  0.0064453125000000005\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZZ  gave for s =  0.0064453125000000005   minimal norm  10.632736472559843\n",
      "    Found minimum norm =  10.631937898067276  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZZ1  gave for s =  0.0126953125   minimal norm  10.631937898067276\n",
      "    Found minimum norm =  10.633635526715272  for s =  0.0033203125000000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ1Z  gave for s =  0.0033203125000000003   minimal norm  10.633635526715272\n",
      "    Found minimum norm =  10.627059252455071  for s =  0.032617187500000006\n",
      "Flow step output with generator type  single_commutator using string  ZZ1ZZ11  gave for s =  0.032617187500000006   minimal norm  10.627059252455071\n",
      "    Found minimum norm =  10.63376889450745  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1ZZ  gave for s =  0.0001953125   minimal norm  10.63376889450745\n",
      "    Found minimum norm =  10.624919028570293  for s =  0.0302734375\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z1Z1  gave for s =  0.0302734375   minimal norm  10.624919028570293\n",
      "    Found minimum norm =  10.627783788813717  for s =  0.020507812500000003\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z11Z  gave for s =  0.020507812500000003   minimal norm  10.627783788813717\n",
      "    Found minimum norm =  10.63178606178557  for s =  0.0095703125\n",
      "Flow step output with generator type  single_commutator using string  ZZ1Z111  gave for s =  0.0095703125   minimal norm  10.63178606178557\n",
      "    Found minimum norm =  10.633407290741761  for s =  0.0107421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZZ  gave for s =  0.0107421875   minimal norm  10.633407290741761\n",
      "    Found minimum norm =  10.626957695463496  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  ZZ11ZZ1  gave for s =  0.0271484375   minimal norm  10.626957695463496\n",
      "    Found minimum norm =  10.634191565818679  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z1Z  gave for s =  0.0001953125   minimal norm  10.634191565818679\n",
      "    Found minimum norm =  10.62878725556472  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  ZZ11Z11  gave for s =  0.020898437500000002   minimal norm  10.62878725556472\n",
      "    Found minimum norm =  10.624563467999039  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  ZZ111ZZ  gave for s =  0.0232421875   minimal norm  10.624563467999039\n",
      "    Found minimum norm =  10.624496476801767  for s =  0.019335937500000004\n",
      "Flow step output with generator type  single_commutator using string  ZZ111Z1  gave for s =  0.019335937500000004   minimal norm  10.624496476801767\n",
      "    Found minimum norm =  10.63050124134424  for s =  0.0212890625\n",
      "Flow step output with generator type  single_commutator using string  ZZ1111Z  gave for s =  0.0212890625   minimal norm  10.63050124134424\n",
      "    Found minimum norm =  10.633692105927777  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  ZZ11111  gave for s =  0.0001953125   minimal norm  10.633692105927777\n",
      "    Found minimum norm =  10.622460474162155  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZZ  gave for s =  0.020898437500000002   minimal norm  10.622460474162155\n",
      "    Found minimum norm =  10.626617209705273  for s =  0.0236328125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZZ1  gave for s =  0.0236328125   minimal norm  10.626617209705273\n",
      "    Found minimum norm =  10.633681421769491  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ1Z  gave for s =  0.0001953125   minimal norm  10.633681421769491\n",
      "    Found minimum norm =  10.589775604936154  for s =  0.0568359375\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZZ11  gave for s =  0.0568359375   minimal norm  10.589775604936154\n",
      "    Found minimum norm =  10.633768086023787  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1ZZ  gave for s =  0.0001953125   minimal norm  10.633768086023787\n",
      "    Found minimum norm =  10.633693233549069  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ1Z1  gave for s =  0.0001953125   minimal norm  10.633693233549069\n",
      "    Found minimum norm =  10.614331283988454  for s =  0.0361328125\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ11Z  gave for s =  0.0361328125   minimal norm  10.614331283988454\n",
      "    Found minimum norm =  10.567168835069223  for s =  0.04941406250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1ZZ111  gave for s =  0.04941406250000001   minimal norm  10.567168835069223\n",
      "    Found minimum norm =  10.63147340208241  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZZ  gave for s =  0.018945312500000002   minimal norm  10.63147340208241\n",
      "    Found minimum norm =  10.633822416953219  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1ZZ1  gave for s =  0.0001953125   minimal norm  10.633822416953219\n",
      "    Found minimum norm =  10.572527210454188  for s =  0.036523437500000006\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z1Z  gave for s =  0.036523437500000006   minimal norm  10.572527210454188\n",
      "    Found minimum norm =  10.618358691711261  for s =  0.028710937500000002\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1Z11  gave for s =  0.028710937500000002   minimal norm  10.618358691711261\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  10.633788254883147  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11ZZ  gave for s =  0.0001953125   minimal norm  10.633788254883147\n",
      "    Found minimum norm =  10.58778097185768  for s =  0.040429687500000006\n",
      "Flow step output with generator type  single_commutator using string  Z1Z11Z1  gave for s =  0.040429687500000006   minimal norm  10.58778097185768\n",
      "    Found minimum norm =  10.61819378924679  for s =  0.042382812500000006\n",
      "Flow step output with generator type  single_commutator using string  Z1Z111Z  gave for s =  0.042382812500000006   minimal norm  10.61819378924679\n",
      "    Found minimum norm =  10.62884697906571  for s =  0.018554687500000003\n",
      "Flow step output with generator type  single_commutator using string  Z1Z1111  gave for s =  0.018554687500000003   minimal norm  10.62884697906571\n",
      "    Found minimum norm =  10.633750836812009  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZZ  gave for s =  0.0001953125   minimal norm  10.633750836812009\n",
      "    Found minimum norm =  10.598262308484385  for s =  0.0654296875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZZ1  gave for s =  0.0654296875   minimal norm  10.598262308484385\n",
      "    Found minimum norm =  10.614710406344345  for s =  0.0279296875\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ1Z  gave for s =  0.0279296875   minimal norm  10.614710406344345\n",
      "    Found minimum norm =  10.625706984391874  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11ZZ11  gave for s =  0.024804687500000002   minimal norm  10.625706984391874\n",
      "    Found minimum norm =  10.631383994411918  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1ZZ  gave for s =  0.0126953125   minimal norm  10.631383994411918\n",
      "    Found minimum norm =  10.614638501484023  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  Z11Z1Z1  gave for s =  0.0271484375   minimal norm  10.614638501484023\n",
      "    Found minimum norm =  10.625508702616003  for s =  0.0302734375\n",
      "Flow step output with generator type  single_commutator using string  Z11Z11Z  gave for s =  0.0302734375   minimal norm  10.625508702616003\n",
      "    Found minimum norm =  10.632072404870064  for s =  0.020898437500000002\n",
      "Flow step output with generator type  single_commutator using string  Z11Z111  gave for s =  0.020898437500000002   minimal norm  10.632072404870064\n",
      "    Found minimum norm =  10.618745791631035  for s =  0.0271484375\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZZ  gave for s =  0.0271484375   minimal norm  10.618745791631035\n",
      "    Found minimum norm =  10.633739014974969  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z111ZZ1  gave for s =  0.0001953125   minimal norm  10.633739014974969\n",
      "    Found minimum norm =  10.612995127619849  for s =  0.0646484375\n",
      "Flow step output with generator type  single_commutator using string  Z111Z1Z  gave for s =  0.0646484375   minimal norm  10.612995127619849\n",
      "    Found minimum norm =  10.585993101172793  for s =  0.0654296875\n",
      "Flow step output with generator type  single_commutator using string  Z111Z11  gave for s =  0.0654296875   minimal norm  10.585993101172793\n",
      "    Found minimum norm =  10.617680900992047  for s =  0.04082031250000001\n",
      "Flow step output with generator type  single_commutator using string  Z1111ZZ  gave for s =  0.04082031250000001   minimal norm  10.617680900992047\n",
      "    Found minimum norm =  10.633745663018315  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  Z1111Z1  gave for s =  0.0001953125   minimal norm  10.633745663018315\n",
      "    Found minimum norm =  10.632871474300485  for s =  0.0072265625\n",
      "Flow step output with generator type  single_commutator using string  Z11111Z  gave for s =  0.0072265625   minimal norm  10.632871474300485\n",
      "    Found minimum norm =  10.453680176006795  for s =  0.0833984375\n",
      "Flow step output with generator type  single_commutator using string  Z111111  gave for s =  0.0833984375   minimal norm  10.453680176006795\n",
      "    Found minimum norm =  10.629724288607836  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZZ  gave for s =  0.0134765625   minimal norm  10.629724288607836\n",
      "    Found minimum norm =  10.598216903380564  for s =  0.047460937499999994\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZZ1  gave for s =  0.047460937499999994   minimal norm  10.598216903380564\n",
      "    Found minimum norm =  10.632962520953514  for s =  0.0126953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ1Z  gave for s =  0.0126953125   minimal norm  10.632962520953514\n",
      "    Found minimum norm =  10.633776480710997  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZZ11  gave for s =  0.0001953125   minimal norm  10.633776480710997\n",
      "    Found minimum norm =  10.614127003281583  for s =  0.046289062500000006\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1ZZ  gave for s =  0.046289062500000006   minimal norm  10.614127003281583\n",
      "    Found minimum norm =  10.633673393721217  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ1Z1  gave for s =  0.0001953125   minimal norm  10.633673393721217\n",
      "    Found minimum norm =  10.632659842951655  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ11Z  gave for s =  0.009179687500000002   minimal norm  10.632659842951655\n",
      "    Found minimum norm =  10.627135483274163  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1ZZZ111  gave for s =  0.0181640625   minimal norm  10.627135483274163\n",
      "    Found minimum norm =  10.632446927227846  for s =  0.0181640625\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZZ  gave for s =  0.0181640625   minimal norm  10.632446927227846\n",
      "    Found minimum norm =  10.597247402752664  for s =  0.05996093749999999\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1ZZ1  gave for s =  0.05996093749999999   minimal norm  10.597247402752664\n",
      "    Found minimum norm =  10.63429973574891  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z1Z  gave for s =  0.0001953125   minimal norm  10.63429973574891\n",
      "    Found minimum norm =  10.614760609540097  for s =  0.03574218750000001\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1Z11  gave for s =  0.03574218750000001   minimal norm  10.614760609540097\n",
      "    Found minimum norm =  10.591228930055784  for s =  0.0544921875\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11ZZ  gave for s =  0.0544921875   minimal norm  10.591228930055784\n",
      "    Found minimum norm =  10.604222443079811  for s =  0.034570312500000006\n",
      "Flow step output with generator type  single_commutator using string  1ZZ11Z1  gave for s =  0.034570312500000006   minimal norm  10.604222443079811\n",
      "    Found minimum norm =  10.633716035449014  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ111Z  gave for s =  0.0001953125   minimal norm  10.633716035449014\n",
      "    Found minimum norm =  10.633685804054156  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1ZZ1111  gave for s =  0.0001953125   minimal norm  10.633685804054156\n",
      "    Found minimum norm =  10.629901165556909  for s =  0.0162109375\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZZ  gave for s =  0.0162109375   minimal norm  10.629901165556909\n",
      "    Found minimum norm =  10.633814961629206  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZZ1  gave for s =  0.0001953125   minimal norm  10.633814961629206\n",
      "    Found minimum norm =  10.626825784327853  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ1Z  gave for s =  0.0158203125   minimal norm  10.626825784327853\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  10.623874102277792  for s =  0.024804687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1ZZ11  gave for s =  0.024804687500000002   minimal norm  10.623874102277792\n",
      "    Found minimum norm =  10.63033413535633  for s =  0.0134765625\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1ZZ  gave for s =  0.0134765625   minimal norm  10.63033413535633\n",
      "    Found minimum norm =  10.629708249196023  for s =  0.009179687500000002\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z1Z1  gave for s =  0.009179687500000002   minimal norm  10.629708249196023\n",
      "    Found minimum norm =  10.628649426857566  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z11Z  gave for s =  0.020117187500000005   minimal norm  10.628649426857566\n",
      "    Found minimum norm =  10.633710667558287  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z1Z111  gave for s =  0.0001953125   minimal norm  10.633710667558287\n",
      "    Found minimum norm =  10.633752034497817  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZZ  gave for s =  0.0001953125   minimal norm  10.633752034497817\n",
      "    Found minimum norm =  10.627946154807622  for s =  0.020117187500000005\n",
      "Flow step output with generator type  single_commutator using string  1Z11ZZ1  gave for s =  0.020117187500000005   minimal norm  10.627946154807622\n",
      "    Found minimum norm =  10.627788728766314  for s =  0.0232421875\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z1Z  gave for s =  0.0232421875   minimal norm  10.627788728766314\n",
      "    Found minimum norm =  10.633194099275055  for s =  0.009960937500000003\n",
      "Flow step output with generator type  single_commutator using string  1Z11Z11  gave for s =  0.009960937500000003   minimal norm  10.633194099275055\n",
      "    Found minimum norm =  10.633652140837087  for s =  0.0009765625\n",
      "Flow step output with generator type  single_commutator using string  1Z111ZZ  gave for s =  0.0009765625   minimal norm  10.633652140837087\n",
      "    Found minimum norm =  10.633709433951282  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1Z111Z1  gave for s =  0.0001953125   minimal norm  10.633709433951282\n",
      "    Found minimum norm =  10.63334445220006  for s =  0.0052734375\n",
      "Flow step output with generator type  single_commutator using string  1Z1111Z  gave for s =  0.0052734375   minimal norm  10.63334445220006\n",
      "    Found minimum norm =  10.607592101594964  for s =  0.0322265625\n",
      "Flow step output with generator type  single_commutator using string  1Z11111  gave for s =  0.0322265625   minimal norm  10.607592101594964\n",
      "    Found minimum norm =  10.633663012819191  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZZ  gave for s =  0.0001953125   minimal norm  10.633663012819191\n",
      "    Found minimum norm =  10.633123475847482  for s =  0.0087890625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZZ1  gave for s =  0.0087890625   minimal norm  10.633123475847482\n",
      "    Found minimum norm =  10.601538914699836  for s =  0.0353515625\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ1Z  gave for s =  0.0353515625   minimal norm  10.601538914699836\n",
      "    Found minimum norm =  10.619408262925019  for s =  0.029882812499999998\n",
      "Flow step output with generator type  single_commutator using string  11ZZZ11  gave for s =  0.029882812499999998   minimal norm  10.619408262925019\n",
      "    Found minimum norm =  10.632121850672672  for s =  0.0115234375\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1ZZ  gave for s =  0.0115234375   minimal norm  10.632121850672672\n",
      "    Found minimum norm =  10.619897659463275  for s =  0.0244140625\n",
      "Flow step output with generator type  single_commutator using string  11ZZ1Z1  gave for s =  0.0244140625   minimal norm  10.619897659463275\n",
      "    Found minimum norm =  10.591824591539037  for s =  0.0595703125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ11Z  gave for s =  0.0595703125   minimal norm  10.591824591539037\n",
      "    Found minimum norm =  10.633710702400965  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11ZZ111  gave for s =  0.0001953125   minimal norm  10.633710702400965\n",
      "    Found minimum norm =  10.619072934665022  for s =  0.026367187500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZZ  gave for s =  0.026367187500000003   minimal norm  10.619072934665022\n",
      "    Found minimum norm =  10.63019464735158  for s =  0.0158203125\n",
      "Flow step output with generator type  single_commutator using string  11Z1ZZ1  gave for s =  0.0158203125   minimal norm  10.63019464735158\n",
      "    Found minimum norm =  10.630662252304818  for s =  0.017773437500000003\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z1Z  gave for s =  0.017773437500000003   minimal norm  10.630662252304818\n",
      "    Found minimum norm =  10.630978932821563  for s =  0.0154296875\n",
      "Flow step output with generator type  single_commutator using string  11Z1Z11  gave for s =  0.0154296875   minimal norm  10.630978932821563\n",
      "    Found minimum norm =  10.624031065652186  for s =  0.038476562500000006\n",
      "Flow step output with generator type  single_commutator using string  11Z11ZZ  gave for s =  0.038476562500000006   minimal norm  10.624031065652186\n",
      "    Found minimum norm =  10.633767325118738  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z11Z1  gave for s =  0.0001953125   minimal norm  10.633767325118738\n",
      "    Found minimum norm =  10.633729514497613  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11Z111Z  gave for s =  0.0001953125   minimal norm  10.633729514497613\n",
      "    Found minimum norm =  10.460599643954978  for s =  0.07988281250000002\n",
      "Flow step output with generator type  single_commutator using string  11Z1111  gave for s =  0.07988281250000002   minimal norm  10.460599643954978\n",
      "    Found minimum norm =  10.624754800020037  for s =  0.018945312500000002\n",
      "Flow step output with generator type  single_commutator using string  111ZZZZ  gave for s =  0.018945312500000002   minimal norm  10.624754800020037\n",
      "    Found minimum norm =  10.615422620659828  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZZ1  gave for s =  0.03886718750000001   minimal norm  10.615422620659828\n",
      "    Found minimum norm =  10.624883701519625  for s =  0.03886718750000001\n",
      "Flow step output with generator type  single_commutator using string  111ZZ1Z  gave for s =  0.03886718750000001   minimal norm  10.624883701519625\n",
      "    Found minimum norm =  10.616981159251377  for s =  0.0498046875\n",
      "Flow step output with generator type  single_commutator using string  111ZZ11  gave for s =  0.0498046875   minimal norm  10.616981159251377\n",
      "    Found minimum norm =  10.633687001128834  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1ZZ  gave for s =  0.0001953125   minimal norm  10.633687001128834\n",
      "    Found minimum norm =  10.633860489298355  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  111Z1Z1  gave for s =  0.0001953125   minimal norm  10.633860489298355\n",
      "    Found minimum norm =  10.621445696245475  for s =  0.0341796875\n",
      "Flow step output with generator type  single_commutator using string  111Z11Z  gave for s =  0.0341796875   minimal norm  10.621445696245475\n",
      "    Found minimum norm =  10.482008465721195  for s =  0.07285156250000001\n",
      "Flow step output with generator type  single_commutator using string  111Z111  gave for s =  0.07285156250000001   minimal norm  10.482008465721195\n",
      "    Found minimum norm =  10.631686409244107  for s =  0.016992187500000002\n",
      "Flow step output with generator type  single_commutator using string  1111ZZZ  gave for s =  0.016992187500000002   minimal norm  10.631686409244107\n",
      "    Found minimum norm =  10.634041707624807  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111ZZ1  gave for s =  0.0001953125   minimal norm  10.634041707624807\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "    Found minimum norm =  10.605521496231164  for s =  0.0302734375\n",
      "Flow step output with generator type  single_commutator using string  1111Z1Z  gave for s =  0.0302734375   minimal norm  10.605521496231164\n",
      "    Found minimum norm =  10.364356019783783  for s =  0.0998046875\n",
      "Flow step output with generator type  single_commutator using string  1111Z11  gave for s =  0.0998046875   minimal norm  10.364356019783783\n",
      "    Found minimum norm =  10.634064121174934  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  11111ZZ  gave for s =  0.0001953125   minimal norm  10.634064121174934\n",
      "    Found minimum norm =  10.585720976484641  for s =  0.0439453125\n",
      "Flow step output with generator type  single_commutator using string  11111Z1  gave for s =  0.0439453125   minimal norm  10.585720976484641\n",
      "    Found minimum norm =  10.369163703072203  for s =  0.1244140625\n",
      "Flow step output with generator type  single_commutator using string  111111Z  gave for s =  0.1244140625   minimal norm  10.369163703072203\n",
      "    Found minimum norm =  10.633663263935862  for s =  0.0001953125\n",
      "Flow step output with generator type  single_commutator using string  1111111  gave for s =  0.0001953125   minimal norm  10.633663263935862\n",
      "    Found minimum norm =  10.418222517804411  for s =  0.0119140625\n",
      "Found that canonical is worse because  10.418222517804411 10.364356019783783\n",
      "    Found minimum norm =  10.364356019783783  for s =  0.0998046875\n",
      "Flowing forwards with type  single_commutator\n",
      "[]\n"
     ]
    },
    {
     "data": {
      "image/png": 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\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_TFIM )\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 = 10\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_76556/2508838526.py:68: UserWarning: FixedFormatter should only be used together with FixedLocator\n",
      "  axin1.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n",
      "/tmp/ipykernel_76556/2508838526.py:109: UserWarning: FixedFormatter should only be used together with FixedLocator\n",
      "  axin2.set_xticklabels([1]+['']*(2**L-2)+[2**L])\n",
      "/tmp/ipykernel_76556/2508838526.py:113: 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",
    "    N = 10\n",
    "    k=0\n",
    "    for xy in zip([x+.01 for x in x_axis[0:N]], \n",
    "                  [n - 0.07 for n in norms[0:N]]):  \n",
    "        if k == 0 or k == 9 or k == 8 or k== 7 or k ==6:\n",
    "            a=1\n",
    "        else:\n",
    "            plt.annotate('k = ' + str(k) + ': ' + flow_results['strs_of_minimizer_Z'][k-1], xy=xy, textcoords='data', fontsize=16)\n",
    "        k=k+1\n",
    "    #10\n",
    "    plt.annotate('k = ' + str(k) + ': ' + flow_results['strs_of_minimizer_Z'][k-1], \n",
    "                 xy=(x_axis[-1]-.08,norms[-1]-.7), textcoords='data', fontsize=16)\n",
    "#9\n",
    "    plt.annotate('k = ' + str(k-1) + ': ' + flow_results['strs_of_minimizer_Z'][k-2], \n",
    "                 xy=(x_axis[k-1]-.2,norms[k-1]-.7), textcoords='data', fontsize=17)\n",
    "#8\n",
    "    plt.annotate('k = ' + str(k-2) + ': ' + flow_results['strs_of_minimizer_Z'][k-3], \n",
    "                  xy=(x_axis[k-2]+.01,norms[k-2]-0.15), textcoords='data', fontsize=17)\n",
    "#7\n",
    "    plt.annotate('k = ' + str(k-3) + ': ' + flow_results['strs_of_minimizer_Z'][k-4], \n",
    "                  xy=(x_axis[k-3]-.09,norms[k-3]-.9), textcoords='data', fontsize=17)\n",
    "#6\n",
    "    plt.annotate('k = ' + str(k-4) + ': ' + flow_results['strs_of_minimizer_Z'][k-5], \n",
    "                  xy=(x_axis[k-4]+.021,norms[k-4]-.4), textcoords='data', fontsize=17)\n",
    "    plt.annotate('c)', xy = (-.1,1.02),\n",
    "                 xycoords='axes fraction')\n",
    "    x_labels_rounded = [ round(x, 2 ) for x in x_axis ]\n",
    "    x_labels_rounded = [0] + x_labels_rounded[1:9]  + [max(x_labels_rounded)]\n",
    "    x_labels_rounded.pop(3)\n",
    "    x_labels_rounded.pop(2)\n",
    "    x_labels_rounded.pop(-2)\n",
    "    x_labels_rounded.pop(1)\n",
    "    x_labels_rounded.pop(-2)\n",
    "\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_TFIM, 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_TFIM ) )\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": [
    {
     "ename": "NameError",
     "evalue": "name 'H_TLFIM' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[0;32m/tmp/ipykernel_76556/3008398530.py\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m      3\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mfigure\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      4\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m121\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 5\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mimshow\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mabs\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mH_TLFIM\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mcmap\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'RdBu'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m      6\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolorbar\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      7\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0msubplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;36m122\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;31mNameError\u001b[0m: name 'H_TLFIM' is not defined"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 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": null,
   "metadata": {},
   "outputs": [],
   "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": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "flow.flow_outputs['strs_of_minimizer_Z']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}