LocalOperatorAlgebra.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In principle this is not about the algebraic property but the commutativeness.\n",
    "Basically the point is that we need a automatical function to treat the definition of local operators and the commutativeness between them.\n",
    "\n",
    " - Define the op on a chain as a list.\n",
    " - Equivalently represent `sigma_0==I, sigma_1, sigma_2, sigma_3` as `0, 1, 2, 3`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from itertools import product\n",
    "\n",
    "def comm(i1:int, i2:int):\n",
    "    available_set = [0, 1, 2, 3]\n",
    "    assert i1 in available_set\n",
    "    assert i2 in available_set\n",
    "    if i1 * i2 == 0:\n",
    "        return 1\n",
    "    elif i1 == i2:\n",
    "        return 1\n",
    "    else:\n",
    "        return -1\n",
    "\n",
    "class Op:\n",
    "    def __init__(self, ops:list, shift:int = 0):\n",
    "        for op in ops:\n",
    "            assert op==0 or op==1 or op==2 or op==3\n",
    "        self.ops = ops\n",
    "        assert type(shift) is int\n",
    "        assert shift >= 0\n",
    "        \n",
    "        # standardization\n",
    "        if ops == []:\n",
    "            shift = 0\n",
    "            pass\n",
    "        else:\n",
    "            while ops[0] == 0:\n",
    "                shift += 1\n",
    "                ops.pop(0)\n",
    "                pass\n",
    "            while ops[-1] == 0:\n",
    "                ops.pop(-1)\n",
    "                pass\n",
    "        \n",
    "        self.shift = shift\n",
    "        self.start_site = self.shift\n",
    "        self.end_site = self.start_site + len(ops)\n",
    "        pass \n",
    "    \n",
    "    def __str__(self):\n",
    "        if self.shift==0:\n",
    "            return str(self.ops)\n",
    "        else:\n",
    "            return str([0 for i in range(self.shift)] + self.ops)\n",
    "        pass\n",
    "    \n",
    "    def init_from_str(self, opstr:str):\n",
    "        self.__init__([int(ch) for ch in str])\n",
    "        pass\n",
    "    \n",
    "    def get_full_ops(self):\n",
    "        return [0 for i in range(self.shift)] + self.ops\n",
    "    \n",
    "    def to_str(self):\n",
    "        if self.shift==0:\n",
    "            return ''.join([str(i) for i in self.ops])\n",
    "        else:\n",
    "            return ''.join('0' for i in range(self.shift)) + ''.join([str(j) for j in self.ops])\n",
    "        pass\n",
    "    \n",
    "    \"\"\"\n",
    "        Convert the string list to a standard version: (op_str, position)\n",
    "    \"\"\"\n",
    "    def to_std(self):\n",
    "        \n",
    "    \"\"\"\n",
    "        Function return whether the Op commute with another (op2):\n",
    "            return 1 when commutative\n",
    "            return -1 when anti-commutative\n",
    "    \"\"\"\n",
    "    def commute_with(self, op2) -> int:\n",
    "        \n",
    "        # first of all, we only consider the region that the two op_list overlap with each other\n",
    "        if self.start_site >= op2.end_site or op2.start_site >= self.end_site:\n",
    "            return 1\n",
    "        else:\n",
    "            start_site = max(self.start_site, op2.start_site)\n",
    "            end_site = min(self.end_site, op2.end_site)\n",
    "            comm_list = [0 for i in range(start_site, end_site)]\n",
    "#             print(comm_list)\n",
    "            for i in range(start_site, end_site):\n",
    "                site1 = i - self.shift\n",
    "                site2 = i - op2.shift\n",
    "                comm_list[i-start_site] = comm(self.ops[site1],op2.ops[site2])\n",
    "                pass\n",
    "            return np.prod(comm_list)\n",
    "        pass\n",
    "    \n",
    "    \"\"\" \n",
    "        Test whether or not this operator commute with a list of other ops.\n",
    "        Main purpose is to check if the local symmetries are satisfied\n",
    "    \"\"\"\n",
    "    def commute_with_list(self, op_list) -> bool:\n",
    "        for op in op_list:\n",
    "            if self.commute_with(op) == -1:\n",
    "                return False\n",
    "        return True\n",
    "    \n",
    "    \"\"\" \n",
    "        Test whether of note this operator anticomm with a list of other ops.\n",
    "        Main purpose is to check if the local order parameter condition (anti-commutation with Hamiltonians) is satisfied\n",
    "    \"\"\"\n",
    "    def anti_commute_with_list(self, op_list) -> bool:\n",
    "        for op in op_list:\n",
    "            if self.commute_with(op) == 1:\n",
    "                return False\n",
    "        return True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "\"\"\" \n",
    "    Generate the local symmetries we used in Kitaev ladders\n",
    "\"\"\"\n",
    "def gen_local_sym_D(domin='x', shift=0):\n",
    "    assert domin=='x' or domin=='y'\n",
    "    if domin=='x':\n",
    "        return Op([1, 2, 2, 1], shift=shift)\n",
    "    else:\n",
    "        return Op([2, 1, 1, 2], shift=shift)\n",
    "    \n",
    "\"\"\" \n",
    "    Generate the local symmetries we used in Kitaev ladders in a specific range.\n",
    "    `srange` to specify the unitcell range to consider the local symmetries `Dn`\n",
    "\"\"\"\n",
    "def gen_local_sym_D_range(domin='x', srange=4, bc='open'):\n",
    "    assert domin=='x' or domin=='y'\n",
    "    assert bc=='open' # currently we don't consider the periodic bc\n",
    "    if domin=='x':\n",
    "        bulk_symmetries = [Op([1, 2, 2, 1], shift=2*shift) for shift in range(srange)]\n",
    "        if bc=='open':\n",
    "            edge_symmetries = [Op([2, 1]), Op([1, 2], shift=2*srange)] \n",
    "    else:\n",
    "        bulk_symmetries = [Op([2, 1, 1, 2], shift=2*shift) for shift in range(srange)]\n",
    "        if bc=='open':\n",
    "            edge_symmetries = [Op([1, 2]), Op([2, 1], shift=2*srange)] \n",
    "    return bulk_symmetries + edge_symmetries\n",
    "\"\"\"\n",
    "    Generate the Hamiltonian we used in Kitaev ladders.\n",
    "    The model we will consider is defined on the 1D chain.\n",
    "\"\"\"\n",
    "def gen_Hamiltonian(domin='x', bc='open', max_N_unitcell=8):\n",
    "    assert domin=='x' or domin=='y'\n",
    "    \n",
    "    first_bond = 3\n",
    "    second_bond = 1 if domin=='x' else 2\n",
    "    third_bond = 2 if domin=='x' else 1\n",
    "    \n",
    "    first_bond_set = [Op(ops=[first_bond, first_bond], shift=2*k) for k in range(max_N_unitcell)]\n",
    "    second_bond_set = [Op(ops=[second_bond, second_bond], shift=1+2*k) for k in range(max_N_unitcell)]\n",
    "    third_bond_set = [Op(ops=[third_bond, 0, 0, third_bond], shift=2*k) for k in range(max_N_unitcell)]\n",
    "    \n",
    "    return first_bond_set + second_bond_set + third_bond_set\n",
    "    \n",
    "\"\"\"\n",
    "    Generate all the possible local operators to some extent that we specify\n",
    "\"\"\"\n",
    "def gen_local_ops(\n",
    "    local_range=1, # the number of unicells involved\n",
    "):\n",
    "    assert type(local_range) is int\n",
    "    assert local_range >= 1\n",
    "    all_ops = []\n",
    "    if local_range == 1: # all the possible local ops occupying only one unitcell\n",
    "        non_trivial = [1, 2, 3]\n",
    "        for op in non_trivial:\n",
    "            all_ops.append(Op([op, 0]))\n",
    "        for op in non_trivial:\n",
    "            all_ops.append(Op([0, op]))\n",
    "        for op1 in non_trivial:\n",
    "            for op2 in non_trivial:\n",
    "                all_ops.append(Op([op1, op2]))\n",
    "    else:\n",
    "        one_cell_ops = gen_local_ops(local_range=1) # the base ops\n",
    "        possible_op = [0, 1, 2, 3] # the candidates for the descending op\n",
    "        iter_res = list(product(possible_op, repeat=2*(local_range - 1)))\n",
    "        \n",
    "        \n",
    "        for op in one_cell_ops:\n",
    "            prefix = op.get_full_ops()\n",
    "            if len(prefix)==1: prefix += [0]\n",
    "#             print(f\"prefix: {prefix}\")\n",
    "            for t in iter_res:\n",
    "                suffix = list(t)\n",
    "#                 print(f\"    suffix: {suffix}\")\n",
    "                op_to_append = Op(prefix+suffix)\n",
    "#                 print(f\"    op: {op_to_append}\")\n",
    "                all_ops.append(op_to_append)\n",
    "                pass\n",
    "            pass\n",
    "    return all_ops\n",
    "\n",
    "def gen_global_sym_S_range(srange=4):\n",
    "    return [Op(ops=[1 for k in range(srange*2 + 2)]), Op(ops=[2 for k in range(srange*2 + 2)])]\n",
    "\n",
    "def gen_local_order_parameter_candidates(range_int=4):\n",
    "    D_list = gen_local_sym_D_range(srange=range_int)\n",
    "    S_list = gen_global_sym_S_range(srange=range_int)\n",
    "    \n",
    "    candidate_list = []\n",
    "    for op in gen_local_ops(local_range=range_int):\n",
    "        if op.commute_with_list(D_list):\n",
    "            if op.commute_with(S_list[0])==-1 or op.commute_with(S_list[1])==-1:\n",
    "                candidate_list.append(op)\n",
    "    return candidate_list"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 0, 1]\n",
      "[2, 0, 2, 3]\n",
      "[0, 1, 0, 2]\n",
      "[0, 1, 3, 1]\n",
      "[1, 2]\n",
      "[1, 2, 3, 3]\n",
      "[1, 3, 1]\n",
      "[1, 3, 2, 3]\n",
      "[2, 1]\n",
      "[2, 1, 3, 3]\n",
      "[3, 2, 0, 2]\n",
      "[3, 2, 3, 1]\n",
      "[3, 3, 1, 2]\n",
      "[3, 3, 2, 1]\n"
     ]
    }
   ],
   "source": [
    "for i in gen_local_order_parameter_candidates(2):\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[2, 0, 0, 2, 1, 2]\n",
      "[2, 0, 0, 2, 2, 1]\n",
      "[2, 0, 0, 3, 0, 2]\n",
      "[2, 0, 0, 3, 3, 1]\n",
      "[2, 0, 1]\n",
      "[2, 0, 1, 0, 3, 3]\n",
      "[2, 0, 1, 1, 1]\n",
      "[2, 0, 1, 1, 2, 3]\n",
      "[2, 0, 2, 2, 1]\n",
      "[2, 0, 2, 2, 2, 3]\n",
      "[2, 0, 2, 3]\n",
      "[2, 0, 2, 3, 3, 3]\n",
      "[2, 0, 3, 0, 0, 2]\n",
      "[2, 0, 3, 0, 3, 1]\n",
      "[2, 0, 3, 1, 1, 2]\n",
      "[2, 0, 3, 1, 2, 1]\n",
      "[0, 1, 0, 2]\n",
      "[0, 1, 0, 2, 3, 3]\n",
      "[0, 1, 0, 3, 1]\n",
      "[0, 1, 0, 3, 2, 3]\n",
      "[0, 1, 1, 0, 1, 2]\n",
      "[0, 1, 1, 0, 2, 1]\n",
      "[0, 1, 1, 1, 0, 2]\n",
      "[0, 1, 1, 1, 3, 1]\n",
      "[0, 1, 2, 2, 0, 2]\n",
      "[0, 1, 2, 2, 3, 1]\n",
      "[0, 1, 2, 3, 1, 2]\n",
      "[0, 1, 2, 3, 2, 1]\n",
      "[0, 1, 3, 0, 1]\n",
      "[0, 1, 3, 0, 2, 3]\n",
      "[0, 1, 3, 1]\n",
      "[0, 1, 3, 1, 3, 3]\n",
      "[1, 2]\n",
      "[1, 2, 0, 0, 3, 3]\n",
      "[1, 2, 0, 1, 1]\n",
      "[1, 2, 0, 1, 2, 3]\n",
      "[1, 2, 1, 2, 1, 2]\n",
      "[1, 2, 1, 2, 2, 1]\n",
      "[1, 2, 1, 3, 0, 2]\n",
      "[1, 2, 1, 3, 3, 1]\n",
      "[1, 2, 2, 0, 0, 2]\n",
      "[1, 2, 2, 0, 3, 1]\n",
      "[1, 2, 2, 1, 1, 2]\n",
      "[1, 2, 2, 1, 2, 1]\n",
      "[1, 2, 3, 2, 1]\n",
      "[1, 2, 3, 2, 2, 3]\n",
      "[1, 2, 3, 3]\n",
      "[1, 2, 3, 3, 3, 3]\n",
      "[1, 3, 0, 2, 1, 2]\n",
      "[1, 3, 0, 2, 2, 1]\n",
      "[1, 3, 0, 3, 0, 2]\n",
      "[1, 3, 0, 3, 3, 1]\n",
      "[1, 3, 1]\n",
      "[1, 3, 1, 0, 3, 3]\n",
      "[1, 3, 1, 1, 1]\n",
      "[1, 3, 1, 1, 2, 3]\n",
      "[1, 3, 2, 2, 1]\n",
      "[1, 3, 2, 2, 2, 3]\n",
      "[1, 3, 2, 3]\n",
      "[1, 3, 2, 3, 3, 3]\n",
      "[1, 3, 3, 0, 0, 2]\n",
      "[1, 3, 3, 0, 3, 1]\n",
      "[1, 3, 3, 1, 1, 2]\n",
      "[1, 3, 3, 1, 2, 1]\n",
      "[2, 1]\n",
      "[2, 1, 0, 0, 3, 3]\n",
      "[2, 1, 0, 1, 1]\n",
      "[2, 1, 0, 1, 2, 3]\n",
      "[2, 1, 1, 2, 1, 2]\n",
      "[2, 1, 1, 2, 2, 1]\n",
      "[2, 1, 1, 3, 0, 2]\n",
      "[2, 1, 1, 3, 3, 1]\n",
      "[2, 1, 2, 0, 0, 2]\n",
      "[2, 1, 2, 0, 3, 1]\n",
      "[2, 1, 2, 1, 1, 2]\n",
      "[2, 1, 2, 1, 2, 1]\n",
      "[2, 1, 3, 2, 1]\n",
      "[2, 1, 3, 2, 2, 3]\n",
      "[2, 1, 3, 3]\n",
      "[2, 1, 3, 3, 3, 3]\n",
      "[3, 2, 0, 2]\n",
      "[3, 2, 0, 2, 3, 3]\n",
      "[3, 2, 0, 3, 1]\n",
      "[3, 2, 0, 3, 2, 3]\n",
      "[3, 2, 1, 0, 1, 2]\n",
      "[3, 2, 1, 0, 2, 1]\n",
      "[3, 2, 1, 1, 0, 2]\n",
      "[3, 2, 1, 1, 3, 1]\n",
      "[3, 2, 2, 2, 0, 2]\n",
      "[3, 2, 2, 2, 3, 1]\n",
      "[3, 2, 2, 3, 1, 2]\n",
      "[3, 2, 2, 3, 2, 1]\n",
      "[3, 2, 3, 0, 1]\n",
      "[3, 2, 3, 0, 2, 3]\n",
      "[3, 2, 3, 1]\n",
      "[3, 2, 3, 1, 3, 3]\n",
      "[3, 3, 0, 0, 1, 2]\n",
      "[3, 3, 0, 0, 2, 1]\n",
      "[3, 3, 0, 1, 0, 2]\n",
      "[3, 3, 0, 1, 3, 1]\n",
      "[3, 3, 1, 2]\n",
      "[3, 3, 1, 2, 3, 3]\n",
      "[3, 3, 1, 3, 1]\n",
      "[3, 3, 1, 3, 2, 3]\n",
      "[3, 3, 2, 0, 1]\n",
      "[3, 3, 2, 0, 2, 3]\n",
      "[3, 3, 2, 1]\n",
      "[3, 3, 2, 1, 3, 3]\n",
      "[3, 3, 3, 2, 0, 2]\n",
      "[3, 3, 3, 2, 3, 1]\n",
      "[3, 3, 3, 3, 1, 2]\n",
      "[3, 3, 3, 3, 2, 1]\n"
     ]
    }
   ],
   "source": [
    "for i in gen_local_order_parameter_candidates(3):\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[(0, 0), (0, 1), (0, 2), (0, 3), (1, 0), (1, 1), (1, 2), (1, 3), (2, 0), (2, 1), (2, 2), (2, 3), (3, 0), (3, 1), (3, 2), (3, 3)]\n"
     ]
    }
   ],
   "source": [
    "\n",
    "possible_op = [0, 1, 2, 3] # the candidates for the descending op\n",
    "iter_res = list(product(possible_op, repeat=2*(2 - 1)))\n",
    "print(iter_res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[3, 3]\n",
      "[0, 0, 3, 3]\n",
      "[0, 0, 0, 0, 3, 3]\n",
      "[0, 0, 0, 0, 0, 0, 3, 3]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 3, 3]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3]\n",
      "[0, 1, 1]\n",
      "[0, 0, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1]\n",
      "[2, 0, 0, 2]\n",
      "[0, 0, 2, 0, 0, 2]\n",
      "[0, 0, 0, 0, 2, 0, 0, 2]\n",
      "[0, 0, 0, 0, 0, 0, 2, 0, 0, 2]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2]\n"
     ]
    }
   ],
   "source": [
    "H = gen_Hamiltonian()\n",
    "for t in H:\n",
    "    print(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "op1 = Op([1,2,3], shift=2)\n",
    "op2 = Op([2,1,1])\n",
    "op1.commute_with(op2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1]\n"
     ]
    }
   ],
   "source": [
    "D = gen_local_sym_D(shift=10)\n",
    "print(D)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The commutativeness between op1 Sigma0 and op2 Sigma0 is 1\n",
      "The commutativeness between op1 Sigma0 and op2 Sigma1 is 1\n",
      "The commutativeness between op1 Sigma0 and op2 Sigma2 is 1\n",
      "The commutativeness between op1 Sigma0 and op2 Sigma3 is 1\n",
      "The commutativeness between op1 Sigma1 and op2 Sigma0 is 1\n",
      "The commutativeness between op1 Sigma1 and op2 Sigma1 is 1\n",
      "The commutativeness between op1 Sigma1 and op2 Sigma2 is -1\n",
      "The commutativeness between op1 Sigma1 and op2 Sigma3 is -1\n",
      "The commutativeness between op1 Sigma2 and op2 Sigma0 is 1\n",
      "The commutativeness between op1 Sigma2 and op2 Sigma1 is -1\n",
      "The commutativeness between op1 Sigma2 and op2 Sigma2 is 1\n",
      "The commutativeness between op1 Sigma2 and op2 Sigma3 is -1\n",
      "The commutativeness between op1 Sigma3 and op2 Sigma0 is 1\n",
      "The commutativeness between op1 Sigma3 and op2 Sigma1 is -1\n",
      "The commutativeness between op1 Sigma3 and op2 Sigma2 is -1\n",
      "The commutativeness between op1 Sigma3 and op2 Sigma3 is 1\n"
     ]
    }
   ],
   "source": [
    "ops = [0, 1, 2, 3]\n",
    "for op1 in ops:\n",
    "    for op2 in ops:\n",
    "        print(f\"The commutativeness between op1 Sigma{op1} and op2 Sigma{op2} is\", comm(op1, op2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "op_list = [0, 0, 1, 2, 3, 0, 1, 0]\n",
    "op = Op(op_list)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 1, 2, 3, 0, 1]\n",
      "[1, 2, 3, 0, 1]\n",
      "2\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "'0012301'"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(op)\n",
    "print(op.ops)\n",
    "print(op.shift)\n",
    "op.to_str()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'01'"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "''.join([str(i) for i in [0, 1]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'01012'"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "'0101' + '2'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'0101'"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k = '0101'\n",
    "p = k\n",
    "p = p + '3'\n",
    "k"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10.0000\n"
     ]
    }
   ],
   "source": [
    "num = 10\n",
    "print(f'{num:.4f}')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 1]\n",
      "[1, 2]\n",
      "[1, 3]\n",
      "[2, 1]\n",
      "[2, 2]\n",
      "[2, 3]\n",
      "[3, 1]\n",
      "[3, 2]\n",
      "[3, 3]\n",
      "[1, 1]\n",
      "[1, 2]\n",
      "[1, 3]\n",
      "[2, 1]\n",
      "[2, 2]\n",
      "[2, 3]\n",
      "[3, 1]\n",
      "[3, 2]\n",
      "[3, 3]\n"
     ]
    }
   ],
   "source": [
    "from itertools import product\n",
    "test_set = [1, 2, 3]\n",
    "t = list(product(test_set, repeat=2))\n",
    "for i in t:\n",
    "    list(i)\n",
    "    print(list(i))\n",
    "for i in t:\n",
    "    list(i)\n",
    "    print(list(i))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "61440"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r = gen_local_ops(4)\n",
    "# for i in r:\n",
    "#     print(i.get_full_ops())\n",
    "    \n",
    "len(r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4096.0"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "61440 / 15"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1, 2, 2, 1]\n",
      "[0, 0, 1, 2, 2, 1]\n",
      "[0, 0, 0, 0, 1, 2, 2, 1]\n",
      "[0, 0, 0, 0, 0, 0, 1, 2, 2, 1]\n",
      "[2, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 1, 2]\n"
     ]
    }
   ],
   "source": [
    "for i in gen_local_sym_D_range(srange=4):\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ds:\n",
      "[1, 2, 2, 1]\n",
      "[0, 0, 1, 2, 2, 1]\n",
      "[2, 1]\n",
      "[0, 0, 0, 0, 1, 2]\n",
      "S:\n",
      "[1, 1, 1, 1, 1, 1]\n",
      "[2, 2, 2, 2, 2, 2]\n",
      "[1, 1, 1]\n",
      "Possible local order param op: [1, 2]\n",
      "Possible local order param op: [1, 3, 1]\n",
      "Possible local order param op: [2, 0, 1]\n",
      "Possible local order param op: [2, 1]\n",
      "Possible local order param op: [0, 1, 0, 2]\n",
      "[0, 1, 1, 1]\n",
      "Possible local order param op: [0, 1, 3, 1]\n",
      "[1, 1, 1]\n",
      "Possible local order param op: [1, 2]\n",
      "Possible local order param op: [1, 2, 3, 3]\n",
      "Possible local order param op: [1, 3, 1]\n",
      "Possible local order param op: [1, 3, 2, 3]\n",
      "Possible local order param op: [2, 1]\n",
      "Possible local order param op: [2, 1, 3, 3]\n",
      "Possible local order param op: [3, 2, 0, 2]\n",
      "Possible local order param op: [3, 2, 3, 1]\n",
      "Possible local order param op: [3, 3, 1, 2]\n",
      "Possible local order param op: [3, 3, 2, 1]\n"
     ]
    }
   ],
   "source": [
    "range_int = 2\n",
    "\n",
    "D_list = gen_local_sym_D_range(srange=range_int)\n",
    "S_list = gen_global_sym_S_range(srange=range_int)\n",
    "\n",
    "print(\"Ds:\")\n",
    "for D in D_list: print(D)\n",
    "print(\"S:\")\n",
    "for S in S_list: print(S)\n",
    "\n",
    "for op in gen_local_ops(local_range=range_int):\n",
    "#     print(\"op:\", op)\n",
    "    if op.ops == [1, 1, 1]:\n",
    "#         print(op)\n",
    "    if op.commute_with_list(D_list):\n",
    "        if op.commute_with(S_list[0])==-1 or op.commute_with(S_list[1])==-1:\n",
    "            print(\"Possible local order param op:\", op)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ds:\n",
      "[1, 2, 2, 1]\n",
      "[0, 0, 1, 2, 2, 1]\n",
      "[0, 0, 0, 0, 1, 2, 2, 1]\n",
      "[0, 0, 0, 0, 0, 0, 1, 2, 2, 1]\n",
      "[2, 1]\n",
      "[0, 0, 0, 0, 0, 0, 0, 0, 1, 2]\n",
      "S:\n",
      "[1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n",
      "[2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n",
      "The operator:  [1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 0, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 3, 1]  commute with all the local symmetries!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The operator:  [2, 1, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 2, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 0, 3, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 0, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 1, 1, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 2, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 2, 3, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 0, 3, 3, 1]  commute with all the local symmetries!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The operator:  [0, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 0, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [0, 1, 3, 1, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 0, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 0, 1, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 2, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 1, 3, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 0, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 2, 1, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 2, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 2, 3, 3, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 2, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 0, 3, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 0, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 1, 1, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 2, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 2, 3, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 0, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [1, 3, 3, 1, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 0, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 0, 1, 3, 1, 3, 3]  commute with all the local symmetries!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The operator:  [2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 2, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 1, 3, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 0, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 2, 1, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 2, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [2, 1, 3, 3, 3, 3, 3, 3]  commute with all the local symmetries!\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The operator:  [3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 2, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 0, 3, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 0, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 1, 1, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 2, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 2, 3, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 0, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 2, 3, 1, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 0, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 0, 1, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 2, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 1, 3, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 0, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 2, 1, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 0, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 0, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 0, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 0, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 0, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 0, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 1, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 1, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 1, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 1, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 1, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 1, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 1, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 2, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 2, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 2, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 2, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 2, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 2, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 3, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 3, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 3, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 3, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 3, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 3, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 2, 3, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 0, 0, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 0, 0, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 0, 0, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 0, 1, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 0, 1, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 0, 1, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 0, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 1, 2, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 1, 2, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 1, 2, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 1, 3, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 1, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 1, 3, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 1, 3, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 2, 0, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 2, 0, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 2, 0, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 2, 0, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 2, 1, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 2, 1, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 2, 1, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 3, 2, 0, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 3, 2, 2, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 3, 2, 3, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 3, 3]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 3, 3, 1, 2]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 3, 3, 2, 1]  commute with all the local symmetries!\n",
      "The operator:  [3, 3, 3, 3, 3, 3, 3, 3]  commute with all the local symmetries!\n"
     ]
    }
   ],
   "source": [
    "range_int = 4\n",
    "\n",
    "D_list = gen_local_sym_D_range(srange=range_int)\n",
    "S_list = gen_global_sym_S_range(srange=range_int)\n",
    "\n",
    "print(\"Ds:\")\n",
    "for D in D_list: print(D)\n",
    "print(\"S:\")\n",
    "for S in S_list: print(S)\n",
    "\n",
    "for op in gen_local_ops(local_range=range_int):\n",
    "#     print(\"op:\", op)\n",
    "#     if op.ops == [1, 1, 1]:\n",
    "#         print(op)\n",
    "    if op.commute_with_list(D_list):\n",
    "        print(\"The operator: \", op, \" commute with all the local symmetries!\")"
   ]
  }
 ],
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