/
smq2Q_XXYYII.py
1169 lines (1149 loc) · 136 KB
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smq2Q_XXYYII.py
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"""
A standard multi-qubit gate set module.
Variables for working with the 2-qubit model containing the gates
I*X(pi/2), I*Y(pi/2), X(pi/2)*I, Y(pi/2)*I, and CPHASE.
"""
#***************************************************************************************************
# Copyright 2015, 2019 National Technology & Engineering Solutions of Sandia, LLC (NTESS).
# Under the terms of Contract DE-NA0003525 with NTESS, the U.S. Government retains certain rights
# in this software.
# Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except
# in compliance with the License. You may obtain a copy of the License at
# http://www.apache.org/licenses/LICENSE-2.0 or in the LICENSE file in the root pyGSTi directory.
#***************************************************************************************************
from collections import OrderedDict
from pygsti.modelpacks._modelpack import GSTModelPack, RBModelPack
class _Module(GSTModelPack, RBModelPack):
description = ("I*I, I*X(pi/2), I*Y(pi/2), X(pi/2)*I, Y(pi/2)*I, X(pi/2)*X(pi/2), "
"Y(pi/2)*Y(pi/2), X(pi/2)*Y(pi/2), and Y(pi/2)*X(pi/2) gates")
gates = [(), ('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1)),
(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))]
_sslbls = (0, 1)
_germs = [((), ), (('Gxpi2', 0), ), (('Gypi2', 0), ), (('Gxpi2', 1), ), (('Gypi2', 1), ), ((('Gxpi2', 0), ('Gxpi2', 1)), ), ((('Gxpi2', 0), ('Gypi2', 1)), ),
((('Gxpi2', 0), ('Gypi2', 1)), ), ((('Gypi2', 0), ('Gypi2', 1)), ), (('Gxpi2', 0), ('Gypi2', 0)), (('Gxpi2', 1), ('Gypi2', 1)),
(('Gypi2', 1), ('Gypi2', 0)), (('Gxpi2', 1), ('Gxpi2', 0)), (('Gxpi2', 1), ('Gypi2', 0)), (('Gypi2', 1), ('Gxpi2', 0)),
((), ('Gxpi2', 1)), ((), ('Gypi2', 1)), ((), ('Gypi2', 0)), (('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1))), (('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1))),
((('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
((('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1))), (('Gxpi2', 1), (('Gypi2', 0), ('Gypi2', 1))),
(('Gypi2', 0), (('Gxpi2', 0), ('Gypi2', 1))), (('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0)), (('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1)),
((('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))),
((('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), (('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0)),
(('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1)), (('Gypi2', 1), ('Gxpi2', 0), ('Gxpi2', 0)), (('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 0)),
(('Gxpi2', 1), ('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 1), ('Gypi2', 0), ('Gxpi2', 0)), (('Gxpi2', 1), ('Gypi2', 0), ('Gypi2', 1)),
(('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 0)), (('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 0)), (('Gypi2', 1), ('Gypi2', 0), ('Gxpi2', 0)),
(('Gxpi2', 0), ('Gypi2', 0), ()), (('Gxpi2', 0), (), ('Gypi2', 0)), (('Gxpi2', 0), (), ()), (('Gypi2', 0), (), ()),
(('Gxpi2', 1), ('Gypi2', 1), ()), (('Gxpi2', 1), (), ('Gypi2', 1)), (('Gxpi2', 1), (), ()), (('Gypi2', 1), (), ()),
((), ('Gxpi2', 1), ('Gypi2', 0)), ((), ('Gypi2', 1), ('Gypi2', 0)), ((), ('Gypi2', 0), ('Gxpi2', 1)),
(('Gxpi2', 0), ('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1))), (('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))),
(('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))), (('Gypi2', 1), ('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1))),
(('Gxpi2', 1), ('Gxpi2', 1), (('Gxpi2', 0), ('Gxpi2', 1))), (('Gxpi2', 1), ('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1))),
(('Gxpi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0)), ((), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))),
(('Gxpi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1)), (('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0)),
(('Gxpi2', 0), ('Gxpi2', 0), (('Gxpi2', 0), ('Gxpi2', 1))), (('Gxpi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))),
(('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), (('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
(('Gypi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))), (('Gypi2', 1), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
(('Gxpi2', 1), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), (('Gypi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
((('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), (('Gypi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))),
(('Gypi2', 0), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), (('Gypi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
((('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
(('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))), (('Gxpi2', 0), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
(('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
(('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0)), (('Gxpi2', 0), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))),
((('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), (('Gypi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))),
(('Gypi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))), (('Gxpi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))),
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1))), (('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
(('Gypi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), (('Gxpi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))),
(('Gypi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), (('Gypi2', 0), ('Gypi2', 0), (('Gypi2', 0), ('Gypi2', 1))),
(('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0)),
(('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 0)),
(('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0)),
(('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 1), ('Gypi2', 0)), (('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)),
(('Gxpi2', 0), ('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()),
(('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()), (('Gypi2', 1), ('Gxpi2', 0), (), ()), (('Gxpi2', 1), (), (), ('Gxpi2', 0)),
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0)), (('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gypi2', 1)),
((('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))),
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
(('Gypi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 0)),
(('Gxpi2', 0), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))),
(('Gypi2', 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 1)),
(('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 1), ('Gypi2', 0), ('Gypi2', 1)),
(('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 0), ('Gxpi2', 1), ('Gxpi2', 0)),
(('Gypi2', 0), ('Gypi2', 1), ('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)),
(('Gypi2', 1), ('Gxpi2', 0), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 0)),
(('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gxpi2', 0)),
(('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1)),
((), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))),
((('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))),
(('Gxpi2', 0), ('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 1), ('Gypi2', 0)),
(('Gxpi2', 0), ('Gypi2', 1), ('Gxpi2', 1), ('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)),
((('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1)),
(('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0)),
(('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1)),
(('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 0), ('Gxpi2', 1)),
(('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 1), ('Gxpi2', 0), ('Gxpi2', 1), ('Gypi2', 1)),
(('Gxpi2', 0), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 0)),
(('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 0), ('Gxpi2', 0)),
(('Gypi2', 0), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1)),
(('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 1), ('Gypi2', 0), ('Gxpi2', 1)),
(('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 1), ('Gxpi2', 1), ('Gypi2', 1)),
(('Gypi2', 0), ('Gxpi2', 0), ('Gypi2', 1), ('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0)),
(('Gypi2', 1), ('Gxpi2', 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 0), ('Gypi2', 1)),
((), ('Gypi2', 0), ('Gxpi2', 0), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (('Gxpi2', 0), ('Gxpi2', 1))),
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 1), (), ('Gypi2', 1)),
(('Gypi2', 0), ('Gxpi2', 0), ('Gypi2', 1), ('Gxpi2', 0), ('Gxpi2', 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 1)),
(('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 1), ('Gypi2', 0))]
_germs_lite = [((), ), (('Gxpi2', 0), ), (('Gypi2', 0), ), (('Gxpi2', 1), ), (('Gypi2', 1), ), ((('Gxpi2', 0), ('Gxpi2', 1)), ),
((('Gxpi2', 0), ('Gypi2', 1)), ), ((('Gxpi2', 0), ('Gypi2', 1)), ), ((('Gypi2', 0), ('Gypi2', 1)), ), (('Gxpi2', 0), ('Gypi2', 0)),
(('Gxpi2', 1), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0)), (('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1)),
((('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))),
((('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))), ((('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0)),
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 0)),
(('Gxpi2', 0), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))),
(('Gxpi2', 0), ('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 1), ('Gypi2', 0)),
(('Gxpi2', 0), ('Gypi2', 1), ('Gxpi2', 1), ('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)),
((('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1)),
(('Gypi2', 0), ('Gxpi2', 0), ('Gypi2', 1), ('Gxpi2', 0), ('Gxpi2', 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 1))]
_fiducials = [(), (('Gxpi2', 1), ), (('Gypi2', 1), ), (('Gxpi2', 1), ('Gxpi2', 1)), (('Gxpi2', 0), ), (('Gxpi2', 0), ('Gxpi2', 1)),
(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)), (('Gypi2', 0), ), (('Gypi2', 0), ('Gxpi2', 1)),
(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 0)),
(('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 1)),
(('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 1), ('Gxpi2', 1))]
_prepfiducials = [(), (('Gxpi2', 1), ), (('Gypi2', 1), ), (('Gxpi2', 1), ('Gxpi2', 1)), (('Gxpi2', 0), ), (('Gxpi2', 0), ('Gxpi2', 1)),
(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)), (('Gypi2', 0), ), (('Gypi2', 0), ('Gxpi2', 1)),
(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 0)),
(('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 1)),
(('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 1), ('Gxpi2', 1))]
_measfiducials = [(), (('Gxpi2', 1), ), (('Gypi2', 1), ), (('Gxpi2', 1), ('Gxpi2', 1)), (('Gxpi2', 0), ), (('Gypi2', 0), ),
(('Gxpi2', 0), ('Gxpi2', 0)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1)),
(('Gypi2', 0), ('Gypi2', 1))]
_clifford_compilation = OrderedDict([
('Gc0c0', [(), (), (), (), (), (), ()]), ('Gc0c1', [('Gypi2', 1), ('Gxpi2', 1), (), (), (), (), ()]),
('Gc0c2', [('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc0c3', [('Gxpi2', 1), ('Gxpi2', 1), (), (), (), (), ()]),
('Gc0c4', [('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc0c5', [('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc0c6', [('Gypi2', 1), ('Gypi2', 1), (), (), (), (), ()]),
('Gc0c7', [('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc0c8', [('Gxpi2', 1), ('Gypi2', 1), (), (), (), (), ()]),
('Gc0c9', [('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc0c10', [('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc0c11', [('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc0c12', [('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc0c13', [('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc0c14', [('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc0c15', [('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), (), ()]), ('Gc0c16', [('Gxpi2', 1), (), (), (), (), (), ()]),
('Gc0c17', [('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc0c18', [('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc0c19', [('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), (), ()]),
('Gc0c20', [('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc0c21', [('Gypi2', 1), (), (), (), (), (), ()]),
('Gc0c22', [('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc0c23', [('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc1c0', [('Gypi2', 0), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc1c1', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), (), ()]),
('Gc1c2', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc1c3', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), (), ()]),
('Gc1c4', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc1c5', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc1c6', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc1c7', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc1c8', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc1c9', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc1c10', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc1c11', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc1c12', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc1c13', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc1c14', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc1c15', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), ()]),
('Gc1c16', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc1c17', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc1c18', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc1c19', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), ()]),
('Gc1c20', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc1c21', [(('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc1c22', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc1c23', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc2c0', [('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ()]),
('Gc2c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ()]),
('Gc2c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)),
('Gxpi2', 1)]),
('Gc2c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ()]),
('Gc2c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ()]),
('Gc2c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ()]),
('Gc2c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ()]),
('Gc3c0', [('Gxpi2', 0), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc3c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), (), ()]),
('Gc3c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc3c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), (), ()]),
('Gc3c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc3c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc3c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc3c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc3c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc3c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc3c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc3c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc3c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc3c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc3c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc3c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), ()]),
('Gc3c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc3c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc3c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc3c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), ()]),
('Gc3c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc3c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc3c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc3c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc4c0', [('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c1', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c2', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ()]),
('Gc4c3', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c4', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ()]),
('Gc4c5', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c6', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c7', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c8', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c9', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c10', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c11', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c12', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c13', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c14', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)),
('Gxpi2', 1)]),
('Gc4c15', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c16', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c17', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c18', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ()]),
('Gc4c19', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c20', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ()]),
('Gc4c21', [(('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c22', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ()]),
('Gc4c23', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ()]),
('Gc5c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc5c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc5c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc5c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc5c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc5c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc5c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc5c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc5c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc5c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc5c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc5c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc5c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc5c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc5c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc5c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), ()]),
('Gc5c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc6c0', [('Gypi2', 0), ('Gypi2', 0), (), (), (), (), ()]),
('Gc6c1', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc6c2', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc6c3', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc6c4', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc6c5', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc6c6', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc6c7', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc6c8', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc6c9', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc6c10', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc6c11', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc6c12', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc6c13', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc6c14', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc6c15', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), ()]),
('Gc6c16', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), (), ()]),
('Gc6c17', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc6c18', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc6c19', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), ()]),
('Gc6c20', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc6c21', [(('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), (), ()]),
('Gc6c22', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc6c23', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc7c0', [('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c1', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c2', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc7c3', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c4', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc7c5', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc7c6', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c7', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), ()]),
('Gc7c8', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c9', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc7c10', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), ()]),
('Gc7c11', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc7c12', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), ()]),
('Gc7c13', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), ()]),
('Gc7c14', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc7c15', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), ()]),
('Gc7c16', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c17', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), ()]),
('Gc7c18', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc7c19', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), ()]),
('Gc7c20', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc7c21', [(('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c22', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), ()]),
('Gc7c23', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc8c0', [('Gxpi2', 0), ('Gypi2', 0), (), (), (), (), ()]),
('Gc8c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc8c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc8c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc8c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc8c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc8c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc8c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc8c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), (), (), ()]),
('Gc8c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc8c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc8c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc8c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc8c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc8c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc8c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), ()]),
('Gc8c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), (), (), (), (), ()]),
('Gc8c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), ()]),
('Gc8c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc8c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), ()]),
('Gc8c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc8c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), (), ()]),
('Gc8c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc8c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc9c0', [('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc9c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc9c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc9c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc9c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc9c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc9c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc9c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc9c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc9c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc9c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc9c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc9c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc9c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc9c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc9c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), ()]),
('Gc9c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc10c0', [('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c1', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c2', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc10c3', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c4', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc10c5', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc10c6', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c7', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), ()]),
('Gc10c8', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c9', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc10c10', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), ()]),
('Gc10c11', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc10c12', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), (), ()]),
('Gc10c13', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), (), ()]),
('Gc10c14', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc10c15', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), ()]),
('Gc10c16', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c17', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), (), ()]),
('Gc10c18', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc10c19', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), ()]),
('Gc10c20', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc10c21', [(('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c22', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), ()]),
('Gc10c23', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc11c0', [('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc11c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc11c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc11c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc11c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc11c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc11c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), ()]),
('Gc11c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc11c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc11c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc11c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc11c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc11c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc11c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), ()]),
('Gc11c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc11c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), ()]),
('Gc11c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), ()]),
('Gc12c0', [('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c1', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c2', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc12c3', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c4', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc12c5', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc12c6', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c7', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), ()]),
('Gc12c8', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c9', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc12c10', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), (), ()]),
('Gc12c11', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc12c12', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), ()]),
('Gc12c13', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), ()]),
('Gc12c14', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc12c15', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc12c16', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c17', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), ()]),
('Gc12c18', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc12c19', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc12c20', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc12c21', [(('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c22', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc12c23', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc13c0', [('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc13c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc13c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc13c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), ()]),
('Gc13c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc13c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), (), ()]),
('Gc13c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc13c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), ()]),
('Gc13c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), ()]),
('Gc13c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc13c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc13c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), ()]),
('Gc13c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc13c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc13c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc13c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc13c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc14c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)),
('Gxpi2', 0)]),
('Gc14c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)),
('Gxpi2', 0)]),
('Gc14c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)),
(('Gxpi2', 0), ('Gxpi2', 1))]),
('Gc14c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc15c0', [('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc15c1', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), ()]),
('Gc15c2', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc15c3', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), ()]),
('Gc15c4', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc15c5', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc15c6', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), ()]),
('Gc15c7', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), ()]),
('Gc15c8', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), ()]),
('Gc15c9', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc15c10', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), ()]),
('Gc15c11', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc15c12', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc15c13', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc15c14', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc15c15', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc15c16', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc15c17', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc15c18', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc15c19', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc15c20', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc15c21', [(('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc15c22', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc15c23', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc16c0', [('Gxpi2', 0), (), (), (), (), (), ()]), ('Gc16c1', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), (), ()]),
('Gc16c2', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc16c3', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), (), (), (), ()]),
('Gc16c4', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc16c5', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc16c6', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), (), ()]),
('Gc16c7', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc16c8', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), (), (), (), (), ()]),
('Gc16c9', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc16c10', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc16c11', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc16c12', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc16c13', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc16c14', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc16c15', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), (), ()]),
('Gc16c16', [(('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), (), (), ()]),
('Gc16c17', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc16c18', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc16c19', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), (), ()]),
('Gc16c20', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc16c21', [(('Gxpi2', 0), ('Gypi2', 1)), (), (), (), (), (), ()]),
('Gc16c22', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc16c23', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc17c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc17c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc17c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc17c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), ()]),
('Gc17c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc17c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (), (), ()]),
('Gc17c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc17c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), ()]),
('Gc17c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), ()]),
('Gc17c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc17c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc17c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), (), (), ()]),
('Gc17c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc17c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc17c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc17c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc17c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc18c0', [('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c1', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c2', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ()]),
('Gc18c3', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c4', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ()]),
('Gc18c5', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc18c6', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c7', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc18c8', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c9', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc18c10', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc18c11', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc18c12', [(('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c13', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c14', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc18c15', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c16', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c17', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c18', [(('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), ()]),
('Gc18c19', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c20', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), ()]),
('Gc18c21', [(('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c22', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), ()]),
('Gc18c23', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), ()]),
('Gc19c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc19c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), ()]),
('Gc19c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc19c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), ()]),
('Gc19c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc19c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc19c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), ()]),
('Gc19c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), ()]),
('Gc19c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), (), (), ()]),
('Gc19c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc19c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), ()]),
('Gc19c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), ()]),
('Gc19c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc19c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc19c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc19c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc19c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc19c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc19c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc19c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), (), (), ()]),
('Gc19c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc19c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc19c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc19c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc20c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ()]),
('Gc20c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ()]),
('Gc20c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc20c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc20c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc20c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc20c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc20c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc20c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), ()]),
('Gc20c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), ()]),
('Gc20c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), ()]),
('Gc20c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), ()]),
('Gc21c0', [('Gypi2', 0), (), (), (), (), (), ()]), ('Gc21c1', [(('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), (), ()]),
('Gc21c2', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc21c3', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), (), (), (), (), ()]),
('Gc21c4', [(('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc21c5', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc21c6', [(('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), (), ()]),
('Gc21c7', [(('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc21c8', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), (), (), (), (), ()]),
('Gc21c9', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc21c10', [(('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc21c11', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc21c12', [(('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc21c13', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc21c14', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc21c15', [(('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), (), ()]),
('Gc21c16', [(('Gxpi2', 0), ('Gypi2', 1)), (), (), (), (), (), ()]),
('Gc21c17', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc21c18', [(('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc21c19', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), (), (), (), ()]),
('Gc21c20', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc21c21', [(('Gypi2', 0), ('Gypi2', 1)), (), (), (), (), (), ()]),
('Gc21c22', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc21c23', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc22c0', [('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ()]),
('Gc22c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ()]),
('Gc22c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), ()]),
('Gc22c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), ()]),
('Gc22c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), ()]),
('Gc22c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), ()]),
('Gc22c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (), ()]),
('Gc22c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc22c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), ()]),
('Gc22c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), ()]),
('Gc22c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (), ()]),
('Gc22c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), ()]),
('Gc23c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c1', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c2', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 1), ()]),
('Gc23c3', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c4', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ()]),
('Gc23c5', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc23c6', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c7', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc23c8', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c9', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc23c10', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc23c11', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (), ()]),
('Gc23c12', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c13', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c14', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc23c15', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c16', [(('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c17', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c18', [(('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), ()]),
('Gc23c19', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c20', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), ()]),
('Gc23c21', [(('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c22', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (), ()]),
('Gc23c23', [(('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (), ()])
])
global_fidpairs = [(0, 4), (0, 5), (1, 6), (2, 0), (2, 4), (2, 10), (3, 1), (3, 3), (3, 4), (3, 10), (4, 3), (4, 4),
(4, 5), (4, 6), (4, 10), (5, 2), (6, 5), (7, 1), (7, 2), (7, 5), (7, 7), (7, 8), (7, 10), (8, 6),
(8, 7), (8, 10), (9, 8), (10, 6), (10, 9), (10, 10), (11, 1), (11, 8), (12, 3), (13, 5), (13, 6),
(14, 4), (14, 7)]
_pergerm_fidpairsdict = {
(('Gxpi2', 1), ): [(0, 5), (1, 0), (1, 1), (2, 2), (2, 5), (2, 9), (3, 3), (3, 4), (3, 8), (4, 0), (4, 2), (4, 7),
(4, 8), (4, 10), (5, 0), (5, 1), (5, 2), (5, 6), (5, 8), (6, 7), (6, 8), (6, 9), (7, 0), (7, 4),
(8, 5), (8, 9), (9, 5), (10, 8), (10, 10), (12, 2), (12, 4), (12, 7), (13, 2), (13, 3), (13, 9),
(14, 0), (14, 5), (14, 6), (15, 5), (15, 8), (15, 9)],
((('Gypi2', 0), ('Gxpi2', 1)), ): [(0, 5), (0, 9), (1, 6), (3, 1), (3, 2), (5, 0), (5, 4), (6, 0), (6, 8), (9, 7), (10, 9), (11, 1),
(11, 4), (14, 4), (14, 9), (15, 5), (15, 7)],
(('Gypi2', 0), ): [(3, 1), (4, 1), (4, 2), (5, 0), (5, 1), (5, 7), (6, 0), (6, 8), (7, 2), (7, 4), (7, 9), (8, 0),
(8, 7), (9, 2), (9, 3), (10, 9), (10, 10), (14, 7), (14, 9), (15, 10)],
(('Gypi2', 1), ): [(0, 0), (0, 7), (1, 1), (3, 5), (3, 6), (4, 2), (4, 4), (4, 5), (5, 3), (5, 7), (7, 1), (7, 8),
(8, 5), (9, 4), (9, 5), (9, 9), (10, 5), (11, 5), (11, 6), (11, 8), (11, 10), (12, 0), (12, 3),
(13, 10), (14, 0), (14, 5), (14, 6), (14, 7), (15, 0), (15, 6), (15, 9)],
((('Gypi2', 0), ('Gypi2', 1)), ): [(0, 6), (0, 8), (0, 10), (1, 0), (1, 1), (1, 3), (2, 9), (3, 8), (4, 4), (4, 7), (5, 7), (6, 1),
(7, 0), (7, 8), (9, 10), (10, 5), (11, 5), (12, 5), (12, 6), (14, 0), (15, 0), (15, 6), (15, 8)],
((('Gxpi2', 0), ('Gxpi2', 1)), ): [(0, 0), (1, 5), (2, 4), (3, 3), (3, 5), (5, 2), (6, 1), (6, 8), (6, 10), (8, 6), (10, 2), (10, 8),
(10, 10), (11, 8), (12, 1), (13, 1), (13, 4), (13, 6), (13, 10), (14, 8), (15, 3)],
((), ): [(0, 8), (1, 0), (1, 1), (1, 3), (1, 10), (2, 5), (2, 9), (3, 3), (3, 9), (4, 3), (4, 8), (5, 0),
(5, 5), (5, 7), (6, 4), (6, 6), (6, 8), (6, 10), (7, 0), (7, 2), (7, 3), (7, 4), (7, 6), (7, 10),
(8, 3), (8, 5), (9, 3), (9, 4), (9, 5), (9, 6), (9, 8), (9, 9), (10, 3), (10, 9), (10, 10), (11, 1),
(11, 5), (12, 5), (12, 7), (12, 9), (13, 0), (13, 10), (14, 0), (14, 1), (14, 2), (14, 6), (15, 0),
(15, 5), (15, 6), (15, 7), (15, 8)],
((('Gxpi2', 0), ('Gypi2', 1)), ): [(1, 1), (2, 8), (3, 0), (3, 2), (3, 6), (4, 7), (7, 2), (8, 6), (9, 1), (9, 7), (9, 9), (10, 2),
(10, 10), (11, 8), (12, 6), (13, 2), (13, 7), (14, 2), (15, 5)],
(('Gxpi2', 0), ): [(0, 7), (1, 1), (1, 7), (2, 7), (3, 3), (4, 9), (5, 4), (7, 2), (7, 10), (8, 2), (9, 2), (9, 8),
(9, 9), (10, 1), (10, 10), (11, 2), (11, 5), (11, 6), (13, 2), (14, 7), (15, 2), (15, 3)],
(('Gypi2', 1), ('Gypi2', 0)): [(0, 6), (0, 8), (0, 10), (1, 0), (1, 1), (1, 3), (2, 9), (3, 8), (4, 4), (4, 7), (5, 7),
(6, 1), (7, 0), (7, 8), (9, 10), (10, 5), (11, 5), (12, 5), (12, 6), (14, 0), (15, 0), (15, 6),
(15, 8)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8), (12, 2),
(12, 6), (14, 6), (15, 0), (15, 5)],
((('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8), (5, 5), (7, 0), (9, 3),
(9, 9), (9, 10), (10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), ('Gxpi2', 0)): [(1, 1), (2, 8), (3, 0), (3, 2), (3, 6), (4, 7), (7, 2), (8, 6), (9, 1), (9, 7), (9, 9),
(10, 2), (10, 10), (11, 8), (12, 6), (13, 2), (13, 7), (14, 2), (15, 5)],
(('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1))): [(1, 10), (2, 10), (4, 8), (5, 5), (5, 6), (6, 10), (7, 0), (7, 5), (7, 6), (7, 8), (8, 5),
(12, 5), (13, 0), (13, 2), (14, 1)],
((), ('Gypi2', 1)): [(0, 0), (0, 7), (1, 1), (3, 5), (3, 6), (4, 2), (4, 4), (4, 5), (5, 3), (5, 7), (7, 1), (7, 8),
(8, 5), (9, 4), (9, 5), (9, 9), (10, 5), (11, 5), (11, 6), (11, 8), (11, 10), (12, 0), (12, 3),
(13, 10), (14, 0), (14, 5), (14, 6), (14, 7), (15, 0), (15, 6), (15, 9)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(1, 1), (2, 5), (4, 3), (5, 5), (6, 3), (7, 1), (10, 2), (10, 5), (11, 2), (11, 5), (12, 7),
(12, 10), (13, 0), (13, 4), (14, 5)],
((('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 9), (1, 1), (1, 9), (2, 7), (3, 4), (4, 4), (4, 10), (6, 0), (6, 3), (7, 0), (9, 4),
(11, 5), (12, 4), (13, 7), (14, 0)],
(('Gxpi2', 1), ('Gypi2', 1)): [(1, 0), (1, 10), (4, 0), (4, 4), (4, 7), (4, 8), (5, 5), (7, 6), (8, 9), (9, 9), (10, 2),
(10, 8), (11, 10), (12, 6), (12, 9), (13, 9), (15, 1)],
(('Gxpi2', 1), (('Gypi2', 0), ('Gypi2', 1))): [(3, 0), (4, 4), (5, 1), (5, 8), (6, 5), (7, 3), (8, 6), (8, 7), (9, 5), (10, 3), (11, 4),
(14, 0), (14, 6), (14, 9), (15, 5)],
(('Gxpi2', 1), ('Gxpi2', 0)): [(0, 0), (1, 5), (2, 4), (3, 3), (3, 5), (5, 2), (6, 1), (6, 8), (6, 10), (8, 6), (10, 2),
(10, 8), (10, 10), (11, 8), (12, 1), (13, 1), (13, 4), (13, 6), (13, 10), (14, 8), (15, 3)],
((), ('Gypi2', 0)): [(3, 1), (4, 1), (4, 2), (5, 0), (5, 1), (5, 7), (6, 0), (6, 8), (7, 2), (7, 4), (7, 9), (8, 0),
(8, 7), (9, 2), (9, 3), (10, 9), (10, 10), (14, 7), (14, 9), (15, 10)],
(('Gxpi2', 1), ('Gypi2', 0)): [(0, 5), (0, 9), (1, 6), (3, 1), (3, 2), (5, 0), (5, 4), (6, 0), (6, 8), (9, 7), (10, 9),
(11, 1), (11, 4), (14, 4), (14, 9), (15, 5), (15, 7)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(1, 10), (2, 10), (4, 8), (5, 5), (5, 6), (6, 10), (7, 0), (7, 5), (7, 6), (7, 8), (8, 5),
(12, 5), (13, 0), (13, 2), (14, 1)],
(('Gypi2', 0), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 9), (1, 1), (1, 9), (2, 7), (3, 4), (4, 4), (4, 10), (6, 0), (6, 3), (7, 0), (9, 4),
(11, 5), (12, 4), (13, 7), (14, 0)],
((), ('Gxpi2', 1)): [(0, 5), (1, 0), (1, 1), (2, 2), (2, 5), (2, 9), (3, 3), (3, 4), (3, 8), (4, 0), (4, 2), (4, 7),
(4, 8), (4, 10), (5, 0), (5, 1), (5, 2), (5, 6), (5, 8), (6, 7), (6, 8), (6, 9), (7, 0),
(7, 4), (8, 5), (8, 9), (9, 5), (10, 8), (10, 10), (12, 2), (12, 4), (12, 7), (13, 2), (13, 3),
(13, 9), (14, 0), (14, 5), (14, 6), (15, 5), (15, 8), (15, 9)],
(('Gxpi2', 0), ('Gypi2', 0)): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8), (5, 5), (7, 0), (9, 3),
(9, 9), (9, 10), (10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 6), (3, 0), (5, 0), (6, 7), (7, 1), (8, 3), (9, 9), (10, 4), (10, 9), (12, 9), (13, 2),
(14, 5), (14, 8), (14, 10), (15, 6)],
(('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 3), (0, 9), (2, 3), (2, 6), (3, 10), (5, 7), (6, 0), (7, 2), (7, 6), (7, 7),
(8, 1), (8, 5), (9, 4), (14, 10)],
(('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), ('Gxpi2', 0), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 6), (1, 3), (1, 7), (1, 10), (2, 10), (4, 1), (5, 1), (5, 5), (7, 3), (8, 2),
(8, 3), (9, 8), (10, 1), (10, 6), (10, 10), (11, 7), (15, 3)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 0), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), ('Gypi2', 0), ('Gxpi2', 0)): [(1, 10), (2, 10), (4, 8), (5, 5), (5, 6), (6, 10), (7, 0), (7, 5), (7, 6), (7, 8),
(8, 5), (12, 5), (13, 0), (13, 2), (14, 1)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), ('Gxpi2', 0), ('Gypi2', 1)): [(0, 6), (3, 0), (5, 0), (6, 7), (7, 1), (8, 3), (9, 9), (10, 4), (10, 9), (12, 9),
(13, 2), (14, 5), (14, 8), (14, 10), (15, 6)],
(('Gxpi2', 0), (('Gypi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), (), ()): [(0, 7), (1, 1), (1, 7), (2, 7), (3, 3), (4, 9), (5, 4), (7, 2), (7, 10), (8, 2), (9, 2),
(9, 8), (9, 9), (10, 1), (10, 10), (11, 2), (11, 5), (11, 6), (13, 2), (14, 7), (15, 2),
(15, 3)],
((), ('Gypi2', 1), ('Gypi2', 0)): [(0, 6), (0, 8), (0, 10), (1, 0), (1, 1), (1, 3), (2, 9), (3, 8), (4, 4), (4, 7), (5, 7),
(6, 1), (7, 0), (7, 8), (9, 10), (10, 5), (11, 5), (12, 5), (12, 6), (14, 0), (15, 0),
(15, 6), (15, 8)],
(('Gypi2', 1), (('Gypi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 0), (('Gypi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 0)): [(0, 1), (4, 2), (4, 7), (6, 7), (8, 3), (9, 5), (9, 7), (10, 0), (10, 4), (10, 5),
(11, 2), (11, 9), (14, 6), (14, 8), (15, 3)],
(('Gypi2', 1), (), ()): [(0, 0), (0, 7), (1, 1), (3, 5), (3, 6), (4, 2), (4, 4), (4, 5), (5, 3), (5, 7), (7, 1),
(7, 8), (8, 5), (9, 4), (9, 5), (9, 9), (10, 5), (11, 5), (11, 6), (11, 8), (11, 10),
(12, 0), (12, 3), (13, 10), (14, 0), (14, 5), (14, 6), (14, 7), (15, 0), (15, 6),
(15, 9)],
(('Gypi2', 1), (('Gypi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0)): [(1, 5), (3, 3), (4, 1), (6, 1), (6, 6), (6, 8), (8, 6), (10, 10), (11, 8), (13, 1),
(13, 4), (13, 6), (13, 10), (14, 8), (15, 3)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), (('Gypi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 0), (), ()): [(3, 1), (4, 1), (4, 2), (5, 0), (5, 1), (5, 7), (6, 0), (6, 8), (7, 2), (7, 4), (7, 9),
(8, 0), (8, 7), (9, 2), (9, 3), (10, 9), (10, 10), (14, 7), (14, 9), (15, 10)],
((), ('Gxpi2', 1), ('Gypi2', 0)): [(0, 5), (0, 9), (1, 6), (3, 1), (3, 2), (5, 0), (5, 4), (6, 0), (6, 8), (9, 7), (10, 9),
(11, 1), (11, 4), (14, 4), (14, 9), (15, 5), (15, 7)],
(('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), ('Gypi2', 0)): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8), (5, 5), (7, 0), (9, 3),
(9, 9), (9, 10), (10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1)): [(0, 3), (1, 0), (1, 4), (3, 10), (4, 3), (5, 7), (7, 2), (7, 4), (7, 7), (7, 8), (8, 1),
(8, 5), (8, 7), (8, 9), (9, 2), (9, 6), (10, 3), (14, 10), (15, 4)],
(('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), ('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), ('Gypi2', 0), ('Gypi2', 1)): [(3, 0), (4, 4), (5, 1), (5, 8), (6, 5), (7, 3), (8, 6), (8, 7), (9, 5), (10, 3),
(11, 4), (14, 0), (14, 6), (14, 9), (15, 5)],
(('Gypi2', 1), ('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8), (5, 5), (7, 0), (9, 3),
(9, 9), (9, 10), (10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), (), ('Gypi2', 0)): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8), (5, 5), (7, 0), (9, 3),
(9, 9), (9, 10), (10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), ('Gxpi2', 0), ('Gxpi2', 0)): [(1, 7), (2, 2), (4, 8), (7, 2), (7, 10), (8, 6), (9, 8), (9, 9), (10, 1), (11, 4),
(11, 9), (12, 8), (12, 9), (13, 0), (13, 1), (13, 9)],
(('Gxpi2', 0), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 2), (1, 0), (1, 4), (1, 9), (2, 4), (2, 10), (4, 3), (7, 4), (7, 8), (8, 7), (8, 9),
(9, 2), (9, 6), (10, 3), (15, 4)],
(('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1)): [(0, 4), (0, 5), (0, 7), (1, 1), (1, 6), (2, 3), (4, 10), (5, 4), (6, 8),
(7, 4), (7, 10), (8, 8), (8, 9), (10, 5), (11, 5), (11, 6), (11, 9), (13, 10), (14, 1),
(14, 9)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), ('Gypi2', 0), ()): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8), (5, 5), (7, 0), (9, 3),
(9, 9), (9, 10), (10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1)): [(0, 0), (0, 6), (1, 0), (1, 10), (4, 0), (4, 4), (4, 7), (4, 8), (5, 5), (6, 7), (7, 6),
(8, 9), (9, 9), (10, 2), (10, 8), (11, 10), (12, 6), (12, 9), (13, 1), (13, 9),
(15, 1)],
(('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))): [(1, 5), (3, 3), (4, 1), (6, 1), (6, 6), (6, 8), (8, 6), (10, 10), (11, 8), (13, 1),
(13, 4), (13, 6), (13, 10), (14, 8), (15, 3)],
(('Gypi2', 0), ('Gypi2', 0), (('Gypi2', 0), ('Gypi2', 1))): [(0, 2), (1, 1), (1, 4), (2, 1), (2, 10), (3, 10), (4, 0), (5, 3), (5, 7), (6, 4),
(6, 10), (8, 2), (8, 3), (9, 0), (10, 8), (11, 1), (11, 7), (13, 1), (13, 8)],
(('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 0)): [(0, 9), (1, 1), (1, 9), (2, 7), (3, 4), (4, 4), (4, 10), (6, 0), (6, 3), (7, 0), (9, 4),
(11, 5), (12, 4), (13, 7), (14, 0)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), ('Gypi2', 0), ('Gxpi2', 0)): [(0, 9), (1, 1), (1, 9), (2, 7), (3, 4), (4, 4), (4, 10), (6, 0), (6, 3), (7, 0), (9, 4),
(11, 5), (12, 4), (13, 7), (14, 0)],
((), ('Gypi2', 0), ('Gxpi2', 1)): [(0, 5), (0, 9), (1, 6), (3, 1), (3, 2), (5, 0), (5, 4), (6, 0), (6, 8), (9, 7), (10, 9),
(11, 1), (11, 4), (14, 4), (14, 9), (15, 5), (15, 7)],
(('Gypi2', 1), (('Gypi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 0)): [(0, 6), (3, 0), (5, 0), (6, 7), (7, 1), (8, 3), (9, 9), (10, 4), (10, 9), (12, 9),
(13, 2), (14, 5), (14, 8), (14, 10), (15, 6)],
(('Gxpi2', 1), ('Gxpi2', 1), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 0), (1, 5), (2, 4), (3, 3), (3, 5), (5, 2), (6, 1), (6, 8), (6, 10), (8, 6),
(10, 2), (10, 8), (10, 10), (11, 8), (12, 1), (13, 1), (13, 4), (13, 6), (13, 10),
(14, 8), (15, 3)],
(('Gxpi2', 0), ('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 0), (('Gypi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 2), (1, 0), (1, 4), (1, 9), (2, 4), (2, 10), (4, 3), (7, 4), (7, 8), (8, 7), (8, 9),
(9, 2), (9, 6), (10, 3), (15, 4)],
(('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), ('Gypi2', 1), ()): [(1, 0), (1, 10), (4, 0), (4, 4), (4, 7), (4, 8), (5, 5), (7, 6), (8, 9), (9, 9),
(10, 2), (10, 8), (11, 10), (12, 6), (12, 9), (13, 9), (15, 1)],
((('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), (), ('Gypi2', 1)): [(1, 0), (1, 10), (4, 0), (4, 4), (4, 7), (4, 8), (5, 5), (7, 6), (8, 9), (9, 9),
(10, 2), (10, 8), (11, 10), (12, 6), (12, 9), (13, 9), (15, 1)],
(('Gxpi2', 1), (), ()): [(0, 5), (1, 0), (1, 1), (2, 2), (2, 5), (2, 9), (3, 3), (3, 4), (3, 8), (4, 0), (4, 2),
(4, 7), (4, 8), (4, 10), (5, 0), (5, 1), (5, 2), (5, 6), (5, 8), (6, 7), (6, 8), (6, 9),
(7, 0), (7, 4), (8, 5), (8, 9), (9, 5), (10, 8), (10, 10), (12, 2), (12, 4), (12, 7),
(13, 2), (13, 3), (13, 9), (14, 0), (14, 5), (14, 6), (15, 5), (15, 8), (15, 9)],
(('Gypi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), (('Gypi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 0), ('Gypi2', 1)): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8), (5, 5), (7, 0),
(9, 3), (9, 9), (9, 10), (10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), (), (), ('Gxpi2', 0)): [(0, 0), (1, 5), (2, 4), (3, 3), (3, 5), (5, 2), (6, 1), (6, 8), (6, 10), (8, 6),
(10, 2), (10, 8), (10, 10), (11, 8), (12, 1), (13, 1), (13, 4), (13, 6),
(13, 10), (14, 8), (15, 3)],
(('Gxpi2', 1), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 0)): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8), (5, 5), (7, 0),
(9, 3), (9, 9), (9, 10), (10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gxpi2', 1))): [(1, 10), (2, 10), (4, 8), (5, 5), (5, 6), (6, 10), (7, 0), (7, 5), (7, 6),
(7, 8), (8, 5), (12, 5), (13, 0), (13, 2), (14, 1)],
(('Gypi2', 1), ('Gxpi2', 0), (), ()): [(1, 1), (2, 8), (3, 0), (3, 2), (3, 6), (4, 7), (7, 2), (8, 6), (9, 1), (9, 7),
(9, 9), (10, 2), (10, 10), (11, 8), (12, 6), (13, 2), (13, 7), (14, 2), (15, 5)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 0), ('Gypi2', 0)): [(0, 1), (0, 3), (0, 9), (2, 3), (2, 6), (3, 10), (5, 7), (6, 0), (7, 2), (7, 6),
(7, 7), (8, 1), (8, 5), (9, 4), (14, 10)],
(('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)): [(0, 5), (0, 9), (1, 6), (3, 1), (3, 2), (5, 0), (5, 4), (6, 0), (6, 8), (9, 7),
(10, 9), (11, 1), (11, 4), (14, 4), (14, 9), (15, 5), (15, 7)],
(('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 1), ('Gypi2', 0)): [(0, 2), (1, 1), (1, 4), (2, 1), (2, 10), (3, 10), (4, 0), (5, 3), (5, 7), (6, 4),
(6, 10), (8, 2), (8, 3), (9, 0), (10, 8), (11, 1), (11, 7), (13, 1), (13, 8)],
((('Gypi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gxpi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(1, 10), (2, 10), (4, 8), (5, 5), (5, 6), (6, 10), (7, 0), (7, 5), (7, 6),
(7, 8), (8, 5), (12, 5), (13, 0), (13, 2), (14, 1)],
(('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()): [(0, 4), (0, 5), (0, 7), (1, 1), (1, 6), (2, 3), (4, 10), (5, 4), (6, 8), (7, 4),
(7, 10), (8, 8), (8, 9), (10, 5), (11, 5), (11, 6), (11, 9), (13, 10), (14, 1),
(14, 9)],
(('Gxpi2', 0), ('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)): [(1, 10), (2, 10), (4, 8), (5, 5), (5, 6), (6, 10), (7, 0), (7, 5), (7, 6),
(7, 8), (8, 5), (12, 5), (13, 0), (13, 2), (14, 1)],
((('Gypi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0)): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8), (5, 5), (7, 0),
(9, 3), (9, 9), (9, 10), (10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 0), ('Gypi2', 1)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1)): [(1, 0), (1, 10), (4, 0), (4, 4), (4, 7), (4, 8), (5, 5), (7, 6), (8, 9), (9, 9),
(10, 2), (10, 8), (11, 10), (12, 6), (12, 9), (13, 9), (15, 1)],
(('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8),
(12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), (('Gypi2', 0), ('Gypi2', 1)), ('Gypi2', 0), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10),
(10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((), (('Gypi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1)), (('Gypi2', 0), ('Gypi2', 1))): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10),
(10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gxpi2', 0)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10),
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((('Gypi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gypi2', 1)), ('Gxpi2', 0), (('Gxpi2', 0), ('Gypi2', 1)), (('Gxpi2', 0), ('Gypi2', 1))): [(3, 0), (4, 4), (5, 1), (5, 8), (6, 5), (7, 3), (8, 6), (8, 7), (9, 5),
(10, 3), (11, 4), (14, 0), (14, 6), (14, 9), (15, 5)],
(('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 1), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gypi2', 1)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10),
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(('Gypi2', 0), ('Gypi2', 1), ('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10),
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(('Gypi2', 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 1)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10),
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(('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 1), ('Gypi2', 0), ('Gypi2', 1)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10),
(10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
((('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), (('Gxpi2', 0), ('Gxpi2', 1)), ('Gxpi2', 1), ('Gxpi2', 0)): [(1, 5), (3, 3), (4, 1), (6, 1), (6, 6), (6, 8), (8, 6), (10, 10), (11, 8),
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(('Gypi2', 1), ('Gxpi2', 0), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 0)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10),
(10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 0), ('Gxpi2', 1), ('Gxpi2', 0)): [(0, 1), (0, 5), (1, 3), (3, 8), (5, 5), (7, 0), (9, 3), (9, 9), (9, 10),
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(('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 0), ('Gxpi2', 0)): [(1, 1), (2, 5), (4, 3), (5, 5), (6, 3), (7, 1), (10, 2), (10, 5),
(11, 2), (11, 5), (12, 7), (12, 10), (13, 0), (13, 4), (14, 5)],
(('Gypi2', 0), ('Gypi2', 1), ('Gxpi2', 0), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1)): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8),
(5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8), (12, 2), (12, 6),
(14, 6), (15, 0), (15, 5)],
(('Gxpi2', 0), ('Gypi2', 1), ('Gxpi2', 1), ('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 1)): [(0, 1), (0, 2), (0, 5), (1, 3), (1, 9), (2, 4), (2, 10), (3, 8),
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