/
smq2Q_XXYYII_condensed.py
1168 lines (1148 loc) · 115 KB
/
smq2Q_XXYYII_condensed.py
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
"""
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), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)]
_sslbls = (0, 1)
_germs = [((), ), (('Gxpi2', 0), ), (('Gypi2', 0), ), (('Gxpi2', 1), ), (('Gypi2', 1), ), (('Gxxpi2', 0, 1), ), (('Gxypi2', 0, 1), ),
(('Gxypi2', 0, 1), ), (('Gyypi2', 0, 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), ('Gxxpi2', 0, 1)), (('Gypi2', 0), ('Gxxpi2', 0, 1)),
(('Gxypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxxpi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxxpi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gyypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxxpi2', 0, 1), ('Gyypi2', 0, 1)), (('Gxpi2', 1), ('Gyypi2', 0, 1)),
(('Gypi2', 0), ('Gxypi2', 0, 1)), (('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0)), (('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1)),
(('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1)),
(('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 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), ('Gxxpi2', 0, 1)), (('Gypi2', 0), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1)),
(('Gypi2', 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1)), (('Gypi2', 1), ('Gypi2', 0), ('Gxxpi2', 0, 1)),
(('Gxpi2', 1), ('Gxpi2', 1), ('Gxxpi2', 0, 1)), (('Gxpi2', 1), ('Gypi2', 1), ('Gxxpi2', 0, 1)),
(('Gxpi2', 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0)), ((), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1)),
(('Gxpi2', 1), ('Gxxpi2', 0, 1), ('Gypi2', 1)), (('Gypi2', 1), ('Gxxpi2', 0, 1), ('Gypi2', 0)),
(('Gxpi2', 0), ('Gxpi2', 0), ('Gxxpi2', 0, 1)), (('Gxpi2', 0), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1)),
(('Gypi2', 0), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxpi2', 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gypi2', 0), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1)), (('Gypi2', 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gxpi2', 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gypi2', 0), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gypi2', 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1)),
(('Gypi2', 0), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gypi2', 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1)), (('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gxpi2', 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1)), (('Gxpi2', 0), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1)), (('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gypi2', 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gxpi2', 1), ('Gxypi2', 0, 1), ('Gypi2', 0)), (('Gxpi2', 0), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1)),
(('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gypi2', 0), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1)),
(('Gypi2', 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1)), (('Gxpi2', 0), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1)),
(('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1)), (('Gxpi2', 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gypi2', 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxpi2', 0), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1)),
(('Gypi2', 0), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gypi2', 0), ('Gypi2', 0), ('Gyypi2', 0, 1)),
(('Gxpi2', 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxypi2', 0, 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)),
(('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0)), (('Gypi2', 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 1)),
(('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1)),
(('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gypi2', 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)),
(('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 0)),
(('Gxpi2', 0), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 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), ('Gxxpi2', 0, 1), ('Gypi2', 1)),
((), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1)),
(('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxypi2', 0, 1), ('Gxypi2', 0, 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)),
(('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gxxpi2', 0, 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), ('Gxxpi2', 0, 1), ('Gypi2', 0)),
(('Gypi2', 1), ('Gxpi2', 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 1), ('Gxpi2', 0), ('Gypi2', 1)),
((), ('Gypi2', 0), ('Gxpi2', 0), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxxpi2', 0, 1)),
(('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 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), ), (('Gxxpi2', 0, 1), ),
(('Gxypi2', 0, 1), ), (('Gxypi2', 0, 1), ), (('Gyypi2', 0, 1), ), (('Gxpi2', 0), ('Gypi2', 0)),
(('Gxpi2', 1), ('Gypi2', 1)), (('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0)), (('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1)),
(('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1)),
(('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1)), (('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxypi2', 0, 1), ('Gxpi2', 0)),
(('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 0)),
(('Gxpi2', 0), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 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)),
(('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gxxpi2', 0, 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', [('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), (), ()]),
('Gc1c2', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc1c3', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), (), ()]),
('Gc1c4', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc1c5', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc1c6', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), (), ()]),
('Gc1c7', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc1c8', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), (), ()]),
('Gc1c9', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc1c10', [('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc1c11', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc1c12', [('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc1c13', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc1c14', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc1c15', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), (), ()]),
('Gc1c16', [('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc1c17', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc1c18', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc1c19', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), (), ()]),
('Gc1c20', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc1c21', [('Gyypi2', 0, 1), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc1c22', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc1c23', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc2c0', [('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c1', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c2', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ()]),
('Gc2c3', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c4', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ()]),
('Gc2c5', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c6', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c7', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c8', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c9', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c10', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c11', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c12', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c13', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c14', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1),
('Gxpi2', 1)]),
('Gc2c15', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c16', [('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c17', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c18', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ()]),
('Gc2c19', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c20', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ()]),
('Gc2c21', [('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ()]),
('Gc2c22', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ()]),
('Gc2c23', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ()]),
('Gc3c0', [('Gxpi2', 0), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc3c1', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), (), ()]),
('Gc3c2', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc3c3', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), (), ()]),
('Gc3c4', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc3c5', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc3c6', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), (), ()]),
('Gc3c7', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc3c8', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), (), ()]),
('Gc3c9', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc3c10', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc3c11', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc3c12', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc3c13', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc3c14', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc3c15', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), (), ()]),
('Gc3c16', [('Gxxpi2', 0, 1), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc3c17', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc3c18', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc3c19', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), (), ()]),
('Gc3c20', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc3c21', [('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), (), (), ()]),
('Gc3c22', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc3c23', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc4c0', [('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c1', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c2', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ()]),
('Gc4c3', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c4', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ()]),
('Gc4c5', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c6', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c7', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c8', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c9', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c10', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c11', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c12', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c13', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c14', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1),
('Gxpi2', 1)]),
('Gc4c15', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c16', [('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c17', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c18', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ()]),
('Gc4c19', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c20', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ()]),
('Gc4c21', [('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ()]),
('Gc4c22', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ()]),
('Gc4c23', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ()]),
('Gc5c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c1', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c2', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc5c3', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c4', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc5c5', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), (), (), ()]),
('Gc5c6', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c7', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc5c8', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c9', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), (), (), ()]),
('Gc5c10', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc5c11', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), (), (), ()]),
('Gc5c12', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc5c13', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc5c14', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc5c15', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc5c16', [('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c17', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc5c18', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc5c19', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc5c20', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc5c21', [('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc5c22', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), ()]),
('Gc5c23', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc6c0', [('Gypi2', 0), ('Gypi2', 0), (), (), (), (), ()]),
('Gc6c1', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), (), ()]),
('Gc6c2', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc6c3', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), (), ()]),
('Gc6c4', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc6c5', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc6c6', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), (), (), (), (), ()]),
('Gc6c7', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc6c8', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), (), (), (), (), ()]),
('Gc6c9', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc6c10', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc6c11', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc6c12', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc6c13', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc6c14', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc6c15', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), (), (), ()]),
('Gc6c16', [('Gxypi2', 0, 1), ('Gypi2', 0), (), (), (), (), ()]),
('Gc6c17', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc6c18', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc6c19', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), (), (), ()]),
('Gc6c20', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc6c21', [('Gyypi2', 0, 1), ('Gypi2', 0), (), (), (), (), ()]),
('Gc6c22', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc6c23', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc7c0', [('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c1', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c2', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc7c3', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c4', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc7c5', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc7c6', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c7', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), ()]),
('Gc7c8', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c9', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc7c10', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), ()]),
('Gc7c11', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc7c12', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), ()]),
('Gc7c13', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), ()]),
('Gc7c14', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc7c15', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), (), (), ()]),
('Gc7c16', [('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c17', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), ()]),
('Gc7c18', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc7c19', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), (), (), ()]),
('Gc7c20', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc7c21', [('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc7c22', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), ()]),
('Gc7c23', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc8c0', [('Gxpi2', 0), ('Gypi2', 0), (), (), (), (), ()]),
('Gc8c1', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), (), ()]),
('Gc8c2', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc8c3', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), (), ()]),
('Gc8c4', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc8c5', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc8c6', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), (), (), (), (), ()]),
('Gc8c7', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc8c8', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), (), (), (), (), ()]),
('Gc8c9', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc8c10', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc8c11', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc8c12', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc8c13', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc8c14', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc8c15', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), (), (), ()]),
('Gc8c16', [('Gxxpi2', 0, 1), ('Gypi2', 0), (), (), (), (), ()]),
('Gc8c17', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc8c18', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc8c19', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), (), (), ()]),
('Gc8c20', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc8c21', [('Gxypi2', 0, 1), ('Gypi2', 0), (), (), (), (), ()]),
('Gc8c22', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc8c23', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc9c0', [('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c1', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c2', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc9c3', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c4', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc9c5', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), (), (), ()]),
('Gc9c6', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c7', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc9c8', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c9', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), (), (), ()]),
('Gc9c10', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc9c11', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), (), (), ()]),
('Gc9c12', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc9c13', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc9c14', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc9c15', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc9c16', [('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c17', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc9c18', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc9c19', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc9c20', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc9c21', [('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc9c22', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), ()]),
('Gc9c23', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc10c0', [('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c1', [('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c2', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc10c3', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c4', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc10c5', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc10c6', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c7', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), ()]),
('Gc10c8', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c9', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc10c10', [('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), (), (), ()]),
('Gc10c11', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc10c12', [('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), (), ()]),
('Gc10c13', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), (), ()]),
('Gc10c14', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc10c15', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), ()]),
('Gc10c16', [('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c17', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), (), ()]),
('Gc10c18', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc10c19', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), ()]),
('Gc10c20', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc10c21', [('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), (), ()]),
('Gc10c22', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), ()]),
('Gc10c23', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc11c0', [('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c1', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c2', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc11c3', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c4', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc11c5', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), (), (), ()]),
('Gc11c6', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c7', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc11c8', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c9', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), (), (), ()]),
('Gc11c10', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), (), (), ()]),
('Gc11c11', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), (), (), ()]),
('Gc11c12', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc11c13', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc11c14', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc11c15', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc11c16', [('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c17', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc11c18', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc11c19', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), ()]),
('Gc11c20', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc11c21', [('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), (), (), ()]),
('Gc11c22', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), ()]),
('Gc11c23', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), ()]),
('Gc12c0', [('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c1', [('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c2', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc12c3', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c4', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc12c5', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc12c6', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c7', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), ()]),
('Gc12c8', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c9', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc12c10', [('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), (), ()]),
('Gc12c11', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc12c12', [('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), ()]),
('Gc12c13', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), ()]),
('Gc12c14', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc12c15', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc12c16', [('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c17', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), ()]),
('Gc12c18', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc12c19', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc12c20', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc12c21', [('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc12c22', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc12c23', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc13c0', [('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c1', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c2', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc13c3', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c4', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc13c5', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc13c6', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c7', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), ()]),
('Gc13c8', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c9', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc13c10', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), (), ()]),
('Gc13c11', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc13c12', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), ()]),
('Gc13c13', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), ()]),
('Gc13c14', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc13c15', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc13c16', [('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c17', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), ()]),
('Gc13c18', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc13c19', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc13c20', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc13c21', [('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc13c22', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc13c23', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc14c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c1', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c2', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1),
('Gxpi2', 0)]),
('Gc14c3', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c4', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1),
('Gxpi2', 0)]),
('Gc14c5', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c6', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c7', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c8', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c9', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c10', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c11', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c12', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c13', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c14', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1),
('Gxxpi2', 0, 1)]),
('Gc14c15', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c16', [('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c17', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c18', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c19', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c20', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c21', [('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c22', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc14c23', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0)]),
('Gc15c0', [('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc15c1', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), (), ()]),
('Gc15c2', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc15c3', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), (), ()]),
('Gc15c4', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc15c5', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc15c6', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), (), (), ()]),
('Gc15c7', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), (), (), ()]),
('Gc15c8', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), (), (), ()]),
('Gc15c9', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc15c10', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), ()]),
('Gc15c11', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc15c12', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc15c13', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc15c14', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc15c15', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), (), (), (), ()]),
('Gc15c16', [('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc15c17', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc15c18', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc15c19', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), (), (), (), ()]),
('Gc15c20', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc15c21', [('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc15c22', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc15c23', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc16c0', [('Gxpi2', 0), (), (), (), (), (), ()]), ('Gc16c1', [('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), (), (), ()]),
('Gc16c2', [('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc16c3', [('Gxxpi2', 0, 1), ('Gxpi2', 1), (), (), (), (), ()]),
('Gc16c4', [('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc16c5', [('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc16c6', [('Gxypi2', 0, 1), ('Gypi2', 1), (), (), (), (), ()]),
('Gc16c7', [('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc16c8', [('Gxxpi2', 0, 1), ('Gypi2', 1), (), (), (), (), ()]),
('Gc16c9', [('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc16c10', [('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc16c11', [('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc16c12', [('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc16c13', [('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc16c14', [('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc16c15', [('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), (), ()]),
('Gc16c16', [('Gxxpi2', 0, 1), (), (), (), (), (), ()]),
('Gc16c17', [('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc16c18', [('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc16c19', [('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), (), ()]),
('Gc16c20', [('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc16c21', [('Gxypi2', 0, 1), (), (), (), (), (), ()]),
('Gc16c22', [('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc16c23', [('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc17c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c1', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c2', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc17c3', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c4', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc17c5', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc17c6', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c7', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), ()]),
('Gc17c8', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c9', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc17c10', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), (), (), ()]),
('Gc17c11', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc17c12', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), ()]),
('Gc17c13', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), ()]),
('Gc17c14', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc17c15', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc17c16', [('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c17', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), (), (), (), ()]),
('Gc17c18', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc17c19', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc17c20', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc17c21', [('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), (), (), ()]),
('Gc17c22', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc17c23', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc18c0', [('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c1', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c2', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ()]),
('Gc18c3', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c4', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ()]),
('Gc18c5', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc18c6', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c7', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc18c8', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c9', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc18c10', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc18c11', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc18c12', [('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c13', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c14', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc18c15', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c16', [('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c17', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c18', [('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), (), ()]),
('Gc18c19', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c20', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), ()]),
('Gc18c21', [('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc18c22', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), ()]),
('Gc18c23', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), (), ()]),
('Gc19c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc19c1', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), (), ()]),
('Gc19c2', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc19c3', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), (), (), ()]),
('Gc19c4', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc19c5', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc19c6', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), (), (), ()]),
('Gc19c7', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), (), (), ()]),
('Gc19c8', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), (), (), ()]),
('Gc19c9', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc19c10', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), ()]),
('Gc19c11', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), (), (), ()]),
('Gc19c12', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc19c13', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc19c14', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc19c15', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), (), (), (), ()]),
('Gc19c16', [('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc19c17', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), (), (), ()]),
('Gc19c18', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc19c19', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), (), (), (), ()]),
('Gc19c20', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc19c21', [('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), (), (), ()]),
('Gc19c22', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc19c23', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc20c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c1', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c2', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ()]),
('Gc20c3', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c4', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ()]),
('Gc20c5', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc20c6', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c7', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc20c8', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c9', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc20c10', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc20c11', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc20c12', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c13', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c14', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc20c15', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c16', [('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c17', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c18', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), ()]),
('Gc20c19', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c20', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), (), ()]),
('Gc20c21', [('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), ('Gypi2', 0), ('Gxpi2', 0), (), ()]),
('Gc20c22', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), ()]),
('Gc20c23', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), ()]),
('Gc21c0', [('Gypi2', 0), (), (), (), (), (), ()]), ('Gc21c1', [('Gyypi2', 0, 1), ('Gxpi2', 1), (), (), (), (), ()]),
('Gc21c2', [('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ()]),
('Gc21c3', [('Gxypi2', 0, 1), ('Gxpi2', 1), (), (), (), (), ()]),
('Gc21c4', [('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ()]),
('Gc21c5', [('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc21c6', [('Gyypi2', 0, 1), ('Gypi2', 1), (), (), (), (), ()]),
('Gc21c7', [('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc21c8', [('Gxypi2', 0, 1), ('Gypi2', 1), (), (), (), (), ()]),
('Gc21c9', [('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc21c10', [('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), ()]),
('Gc21c11', [('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), (), (), ()]),
('Gc21c12', [('Gyypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc21c13', [('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc21c14', [('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc21c15', [('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), (), ()]),
('Gc21c16', [('Gxypi2', 0, 1), (), (), (), (), (), ()]),
('Gc21c17', [('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), (), (), (), ()]),
('Gc21c18', [('Gyypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc21c19', [('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), (), (), (), ()]),
('Gc21c20', [('Gxypi2', 0, 1), ('Gypi2', 1), ('Gypi2', 1), ('Gypi2', 1), ('Gxpi2', 1), (), ()]),
('Gc21c21', [('Gyypi2', 0, 1), (), (), (), (), (), ()]),
('Gc21c22', [('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gypi2', 1), ('Gypi2', 1), (), ()]),
('Gc21c23', [('Gxypi2', 0, 1), ('Gypi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), ('Gxpi2', 1), (), ()]),
('Gc22c0', [('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c1', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c2', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 1), ()]),
('Gc22c3', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c4', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ()]),
('Gc22c5', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), ()]),
('Gc22c6', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c7', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), ()]),
('Gc22c8', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c9', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), ()]),
('Gc22c10', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), (), ()]),
('Gc22c11', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gypi2', 0), (), ()]),
('Gc22c12', [('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c13', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c14', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc22c15', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c16', [('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c17', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c18', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), ()]),
('Gc22c19', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c20', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), (), ()]),
('Gc22c21', [('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gypi2', 0), ('Gypi2', 0), (), ()]),
('Gc22c22', [('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 1), (), ()]),
('Gc22c23', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), ()]),
('Gc23c0', [('Gxpi2', 0), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c1', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c2', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gypi2', 1), ()]),
('Gc23c3', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c4', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ()]),
('Gc23c5', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc23c6', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c7', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc23c8', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c9', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc23c10', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc23c11', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), (), ()]),
('Gc23c12', [('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c13', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c14', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 1), ('Gxpi2', 1)]),
('Gc23c15', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c16', [('Gxxpi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c17', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c18', [('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), (), ()]),
('Gc23c19', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c20', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), (), ()]),
('Gc23c21', [('Gxypi2', 0, 1), ('Gypi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), ('Gxpi2', 0), (), ()]),
('Gc23c22', [('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), (), ()]),
('Gc23c23', [('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 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)],
(('Gyxpi2', 0, 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)],
(('Gyypi2', 0, 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)],
(('Gxxpi2', 0, 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)],
(('Gxypi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gyypi2', 0, 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)],
(('Gxypi2', 0, 1), ('Gyxpi2', 0, 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), ('Gxxpi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gxypi2', 0, 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)],
(('Gyypi2', 0, 1), ('Gxypi2', 0, 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), ('Gyypi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gyxpi2', 0, 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), ('Gxypi2', 0, 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), ('Gxxpi2', 0, 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), ('Gxypi2', 0, 1), ('Gyxpi2', 0, 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)],
(('Gyypi2', 0, 1), ('Gyxpi2', 0, 1), ('Gyxpi2', 0, 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), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 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), ('Gxypi2', 0, 1), ('Gxypi2', 0, 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), ('Gxxpi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gyxpi2', 0, 1), ('Gxypi2', 0, 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), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 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), ('Gyypi2', 0, 1), ('Gxypi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gyxpi2', 0, 1), ('Gyypi2', 0, 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), ('Gyxpi2', 0, 1), ('Gyypi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyxpi2', 0, 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), ('Gxxpi2', 0, 1), ('Gyxpi2', 0, 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), ('Gyxpi2', 0, 1), ('Gyxpi2', 0, 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), ('Gyxpi2', 0, 1), ('Gxxpi2', 0, 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), ('Gyxpi2', 0, 1), ('Gxypi2', 0, 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), ('Gxxpi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gxypi2', 0, 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), ('Gyxpi2', 0, 1), ('Gxxpi2', 0, 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), ('Gxypi2', 0, 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), ('Gxxpi2', 0, 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), ('Gxxpi2', 0, 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), ('Gyypi2', 0, 1), ('Gyypi2', 0, 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), ('Gxxpi2', 0, 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), ('Gxxpi2', 0, 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), ('Gyypi2', 0, 1), ('Gxypi2', 0, 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)],
(('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyxpi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyxpi2', 0, 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), ('Gyypi2', 0, 1), ('Gyxpi2', 0, 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), ('Gxypi2', 0, 1), ('Gxypi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gyypi2', 0, 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), ('Gxxpi2', 0, 1), ('Gxypi2', 0, 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)],
((), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 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), ('Gyypi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 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), ('Gyxpi2', 0, 1), ('Gyypi2', 0, 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), ('Gxxpi2', 0, 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), ('Gxxpi2', 0, 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)],
(('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyxpi2', 0, 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), ('Gyxpi2', 0, 1), ('Gxypi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 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)],
(('Gxypi2', 0, 1), ('Gyxpi2', 0, 1), ('Gyxpi2', 0, 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), ('Gyypi2', 0, 1), ('Gyxpi2', 0, 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), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 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), ('Gxypi2', 0, 1), ('Gxxpi2', 0, 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)],
(('Gyypi2', 0, 1), ('Gyxpi2', 0, 1), ('Gxypi2', 0, 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), ('Gxypi2', 0, 1), ('Gyypi2', 0, 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), ('Gyxpi2', 0, 1), ('Gxypi2', 0, 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), ('Gxypi2', 0, 1), ('Gyypi2', 0, 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), ('Gxypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyxpi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gyxpi2', 0, 1), ('Gyxpi2', 0, 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)],
(('Gxxpi2', 0, 1), ('Gxxpi2', 0, 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)],
(('Gyxpi2', 0, 1), ('Gyxpi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 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)],
(('Gyxpi2', 0, 1), ('Gxpi2', 1), ('Gxypi2', 0, 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), ('Gxxpi2', 0, 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), ('Gyypi2', 0, 1), ('Gypi2', 0), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 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)],
((), ('Gyypi2', 0, 1), ('Gxypi2', 0, 1), ('Gyypi2', 0, 1), ('Gyypi2', 0, 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),
(10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('Gyxpi2', 0, 1), ('Gxypi2', 0, 1), ('Gxpi2', 0), ('Gxypi2', 0, 1), ('Gxypi2', 0, 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), ('Gxxpi2', 0, 1), ('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), ('Gypi2', 0), ('Gxpi2', 1), ('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), ('Gxpi2', 0), ('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)],
(('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('Gxxpi2', 0, 1), ('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)],
(('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),
(10, 8), (12, 2), (12, 6), (14, 6), (15, 0), (15, 5)],
(('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),
(5, 5), (7, 0), (9, 3), (9, 9), (9, 10), (10, 8), (12, 2), (12, 6),
(14, 6), (15, 0), (15, 5)],