Magma V2.19-8 Wed Aug 21 2013 01:04:01 on localhost [Seed = 1999728419] Type ? for help. Type -D to quit. Loading file "L14n23975__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23975 geometric_solution 11.32743025 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 1 0132 0132 1023 1023 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.290647089189 0.609918220990 0 3 4 0 0132 0132 0132 1023 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810520648665 0.696904607813 5 0 0 6 0132 0132 1023 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -1 1 0 4 0 -4 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.810520648665 0.696904607813 5 1 7 8 1023 0132 0132 0132 1 0 1 1 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 -3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.467537090106 0.628087610351 7 9 10 1 1023 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909682947633 0.618878969956 2 3 7 8 0132 1023 1023 1023 0 1 1 1 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 -4 -1 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.467537090106 0.628087610351 10 8 2 9 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 -1 1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909682947633 0.618878969956 8 4 5 3 0132 1023 1023 0132 1 0 1 1 0 0 0 0 -1 0 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 -1 -2 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762597531699 1.024470724313 7 6 3 5 0132 0132 0132 1023 1 0 1 1 0 0 0 0 1 0 -1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 5 0 0 -5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762597531699 1.024470724313 11 4 6 12 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 1 0 -1 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383029670114 0.868201864085 6 11 12 4 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.383029670114 0.868201864085 9 10 12 12 0132 0132 0213 3120 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 1 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342526535256 0.446094430396 11 11 9 10 3120 0213 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 1 4 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.342526535256 0.446094430396 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : d['c_1001_11'], 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_1001_11'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_12'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1100_3']), 'c_1100_4' : negation(d['c_1100_0']), 'c_1100_7' : d['c_1100_3'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_3'], 'c_1100_2' : negation(d['c_1100_0']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_1100_0']), 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : negation(d['c_1100_0']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_1'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0101_2'], 'c_1100_8' : d['c_1100_3'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1100_0']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0101_10'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_3'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_12'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_3'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_10'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_4, c_1001_1, c_1001_11, c_1100_0, c_1100_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 1051564540087965541/9215098528310272*c_1100_3^16 + 950171839045449485/4607549264155136*c_1100_3^15 - 991456534374697835/1151887316038784*c_1100_3^14 + 904834630737986727/575943658019392*c_1100_3^13 - 15233624401130105013/4607549264155136*c_1100_3^12 + 5766220371701133719/1151887316038784*c_1100_3^11 - 75437678486285847835/9215098528310272*c_1100_3^10 + 43972925119247451251/4607549264155136*c_1100_3^9 - 65726517810667695587/4607549264155136*c_1100_3^8 + 17078162821590706665/1151887316038784*c_1100_3^7 - 176613302904388966965/9215098528310272*c_1100_3^6 + 24736159142851197413/1151887316038784*c_1100_3^5 - 1036278441519009233/44303358309184*c_1100_3^4 + 24503420703459605137/1151887316038784*c_1100_3^3 - 268401348194414225/11075839577296*c_1100_3^2 + 615253789664423833/71992957252424*c_1100_3 - 148550899431323681/11075839577296, c_0011_0 - 1, c_0011_10 - 325906209587/6526321457312*c_1100_3^16 + 487102823797/6526321457312*c_1100_3^15 - 108393830953/407895091082*c_1100_3^14 + 334888197475/815790182164*c_1100_3^13 - 2310527382083/3263160728656*c_1100_3^12 + 2580194861451/3263160728656*c_1100_3^11 - 7964297814185/6526321457312*c_1100_3^10 + 5497678433875/6526321457312*c_1100_3^9 - 5380610685033/3263160728656*c_1100_3^8 + 4486332649045/3263160728656*c_1100_3^7 - 11700694797479/6526321457312*c_1100_3^6 + 12991244539183/6526321457312*c_1100_3^5 - 5239325399401/3263160728656*c_1100_3^4 - 693376178071/1631580364328*c_1100_3^3 - 159227998304/203947545541*c_1100_3^2 - 1019826379157/407895091082*c_1100_3 - 68461930064/203947545541, c_0011_12 + 96718757731/3263160728656*c_1100_3^16 + 80479828257/3263160728656*c_1100_3^15 + 9086502004/203947545541*c_1100_3^14 + 215375347025/1631580364328*c_1100_3^13 - 311206514445/1631580364328*c_1100_3^12 + 952937092507/1631580364328*c_1100_3^11 - 1624990450927/3263160728656*c_1100_3^10 + 4561692126555/3263160728656*c_1100_3^9 - 781401329747/1631580364328*c_1100_3^8 + 354467287111/203947545541*c_1100_3^7 - 4076081709857/3263160728656*c_1100_3^6 + 5283517972595/3263160728656*c_1100_3^5 - 3419837243429/1631580364328*c_1100_3^4 + 5467170758359/1631580364328*c_1100_3^3 + 521584144189/815790182164*c_1100_3^2 + 1417274123573/407895091082*c_1100_3 + 620856930744/203947545541, c_0101_0 - 174560629829/3263160728656*c_1100_3^16 + 583240761683/3263160728656*c_1100_3^15 - 170260198513/407895091082*c_1100_3^14 + 394344635867/407895091082*c_1100_3^13 - 2542689377601/1631580364328*c_1100_3^12 + 3709595319237/1631580364328*c_1100_3^11 - 9708675264911/3263160728656*c_1100_3^10 + 11557691848677/3263160728656*c_1100_3^9 - 5914791049979/1631580364328*c_1100_3^8 + 8440497510523/1631580364328*c_1100_3^7 - 15720211663145/3263160728656*c_1100_3^6 + 19301230070969/3263160728656*c_1100_3^5 - 10395197437715/1631580364328*c_1100_3^4 + 2653216617487/815790182164*c_1100_3^3 - 376658659475/407895091082*c_1100_3^2 + 149179973449/203947545541*c_1100_3 + 982908108242/203947545541, c_0101_1 - 80598307105/6526321457312*c_1100_3^16 - 110567981137/6526321457312*c_1100_3^15 - 1122748486/203947545541*c_1100_3^14 - 77828563025/815790182164*c_1100_3^13 + 502386722003/3263160728656*c_1100_3^12 - 1186511089927/3263160728656*c_1100_3^11 + 2302707031661/6526321457312*c_1100_3^10 - 5048388021751/6526321457312*c_1100_3^9 + 1178848876141/3263160728656*c_1100_3^8 - 3022614625593/3263160728656*c_1100_3^7 + 5074048170747/6526321457312*c_1100_3^6 - 6493298145731/6526321457312*c_1100_3^5 + 3952438273941/3263160728656*c_1100_3^4 - 2948056312241/1631580364328*c_1100_3^3 - 283798459191/815790182164*c_1100_3^2 - 379402943569/407895091082*c_1100_3 - 325906209587/203947545541, c_0101_10 - 13418529281/3263160728656*c_1100_3^16 - 23670072211/407895091082*c_1100_3^15 + 265310232561/3263160728656*c_1100_3^14 - 129115579675/407895091082*c_1100_3^13 + 835149086327/1631580364328*c_1100_3^12 - 738847166183/815790182164*c_1100_3^11 + 3397773091739/3263160728656*c_1100_3^10 - 1344802964343/815790182164*c_1100_3^9 + 3866392202017/3263160728656*c_1100_3^8 - 1755843298991/815790182164*c_1100_3^7 + 6329903477549/3263160728656*c_1100_3^6 - 3505851389575/1631580364328*c_1100_3^5 + 8963191562589/3263160728656*c_1100_3^4 - 4005451556287/1631580364328*c_1100_3^3 - 243189953413/815790182164*c_1100_3^2 - 345658383605/203947545541*c_1100_3 - 613422676339/203947545541, c_0101_2 + 80598307105/6526321457312*c_1100_3^16 + 110567981137/6526321457312*c_1100_3^15 + 1122748486/203947545541*c_1100_3^14 + 77828563025/815790182164*c_1100_3^13 - 502386722003/3263160728656*c_1100_3^12 + 1186511089927/3263160728656*c_1100_3^11 - 2302707031661/6526321457312*c_1100_3^10 + 5048388021751/6526321457312*c_1100_3^9 - 1178848876141/3263160728656*c_1100_3^8 + 3022614625593/3263160728656*c_1100_3^7 - 5074048170747/6526321457312*c_1100_3^6 + 6493298145731/6526321457312*c_1100_3^5 - 3952438273941/3263160728656*c_1100_3^4 + 2948056312241/1631580364328*c_1100_3^3 + 283798459191/815790182164*c_1100_3^2 + 379402943569/407895091082*c_1100_3 + 325906209587/203947545541, c_0101_3 - 1, c_0101_4 + 80598307105/6526321457312*c_1100_3^16 + 110567981137/6526321457312*c_1100_3^15 + 1122748486/203947545541*c_1100_3^14 + 77828563025/815790182164*c_1100_3^13 - 502386722003/3263160728656*c_1100_3^12 + 1186511089927/3263160728656*c_1100_3^11 - 2302707031661/6526321457312*c_1100_3^10 + 5048388021751/6526321457312*c_1100_3^9 - 1178848876141/3263160728656*c_1100_3^8 + 3022614625593/3263160728656*c_1100_3^7 - 5074048170747/6526321457312*c_1100_3^6 + 6493298145731/6526321457312*c_1100_3^5 - 3952438273941/3263160728656*c_1100_3^4 + 2948056312241/1631580364328*c_1100_3^3 + 283798459191/815790182164*c_1100_3^2 + 787298034651/407895091082*c_1100_3 + 325906209587/203947545541, c_1001_1 - 80598307105/6526321457312*c_1100_3^16 - 110567981137/6526321457312*c_1100_3^15 - 1122748486/203947545541*c_1100_3^14 - 77828563025/815790182164*c_1100_3^13 + 502386722003/3263160728656*c_1100_3^12 - 1186511089927/3263160728656*c_1100_3^11 + 2302707031661/6526321457312*c_1100_3^10 - 5048388021751/6526321457312*c_1100_3^9 + 1178848876141/3263160728656*c_1100_3^8 - 3022614625593/3263160728656*c_1100_3^7 + 5074048170747/6526321457312*c_1100_3^6 - 6493298145731/6526321457312*c_1100_3^5 + 3952438273941/3263160728656*c_1100_3^4 - 2948056312241/1631580364328*c_1100_3^3 - 283798459191/815790182164*c_1100_3^2 - 787298034651/407895091082*c_1100_3 - 325906209587/203947545541, c_1001_11 + 13418529281/3263160728656*c_1100_3^16 + 23670072211/407895091082*c_1100_3^15 - 265310232561/3263160728656*c_1100_3^14 + 129115579675/407895091082*c_1100_3^13 - 835149086327/1631580364328*c_1100_3^12 + 738847166183/815790182164*c_1100_3^11 - 3397773091739/3263160728656*c_1100_3^10 + 1344802964343/815790182164*c_1100_3^9 - 3866392202017/3263160728656*c_1100_3^8 + 1755843298991/815790182164*c_1100_3^7 - 6329903477549/3263160728656*c_1100_3^6 + 3505851389575/1631580364328*c_1100_3^5 - 8963191562589/3263160728656*c_1100_3^4 + 4005451556287/1631580364328*c_1100_3^3 + 243189953413/815790182164*c_1100_3^2 + 345658383605/203947545541*c_1100_3 + 613422676339/203947545541, c_1100_0 + 325906209587/6526321457312*c_1100_3^16 - 487102823797/6526321457312*c_1100_3^15 + 108393830953/407895091082*c_1100_3^14 - 334888197475/815790182164*c_1100_3^13 + 2310527382083/3263160728656*c_1100_3^12 - 2580194861451/3263160728656*c_1100_3^11 + 7964297814185/6526321457312*c_1100_3^10 - 5497678433875/6526321457312*c_1100_3^9 + 5380610685033/3263160728656*c_1100_3^8 - 4486332649045/3263160728656*c_1100_3^7 + 11700694797479/6526321457312*c_1100_3^6 - 12991244539183/6526321457312*c_1100_3^5 + 5239325399401/3263160728656*c_1100_3^4 + 693376178071/1631580364328*c_1100_3^3 + 159227998304/203947545541*c_1100_3^2 + 1019826379157/407895091082*c_1100_3 + 68461930064/203947545541, c_1100_3^17 - c_1100_3^16 + 6*c_1100_3^15 - 8*c_1100_3^14 + 18*c_1100_3^13 - 22*c_1100_3^12 + 39*c_1100_3^11 - 31*c_1100_3^10 + 64*c_1100_3^9 - 42*c_1100_3^8 + 73*c_1100_3^7 - 71*c_1100_3^6 + 72*c_1100_3^5 - 40*c_1100_3^4 + 88*c_1100_3^3 + 64*c_1100_3^2 + 64*c_1100_3 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB