Magma V2.19-8 Tue Aug 20 2013 23:41:05 on localhost [Seed = 21456259] Type ? for help. Type -D to quit. Loading file "L12a1275__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1275 geometric_solution 8.93221585 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 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 0 1 -1 0 0 1 5 1 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.746641530027 1.152044346871 0 5 7 6 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 0 0 1 0 0 -1 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.458058744401 0.997395809343 5 0 5 8 0132 0132 3120 0132 1 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 0 0 0 1 0 -1 0 0 1 -1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392557653888 0.713845668556 3 3 8 0 1302 2031 2310 0132 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 -0.162846585946 1.964878112757 8 6 0 8 3012 3120 0132 2310 1 1 0 1 0 1 0 -1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 -1 6 1 0 -1 0 -5 -1 0 6 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196308867160 0.575252798788 2 1 2 9 0132 0132 3120 0132 1 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 0 0 0 0 -1 1 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 0.392557653888 0.713845668556 9 4 1 9 3012 3120 0132 2310 1 1 0 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 -1 0 1 0 0 1 0 -1 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.212202253340 0.500338953019 10 10 9 1 0132 3201 2310 0132 1 1 1 1 0 1 -1 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 -5 5 0 0 0 0 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 -1.120419368806 2.874012342809 4 3 2 4 3201 3201 0132 1230 1 0 1 1 0 0 0 0 1 0 0 -1 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 1 -1 -6 0 1 5 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.196308867160 0.575252798788 6 7 5 6 3201 3201 0132 1230 1 0 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 0.212202253340 0.500338953019 7 10 7 10 0132 2310 2310 3201 1 1 1 1 0 0 1 -1 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 -5 5 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 -0.321273026992 0.470069960217 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : negation(d['c_1001_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_1001_2']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : d['c_0011_3'], 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_0'], '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_10' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0011_8'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : d['c_0011_8'], 'c_1100_3' : d['c_0011_8'], 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_0011_10']), 'c_1010_7' : negation(d['c_0101_7']), 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : 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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_7'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_2'], 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0101_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_8, c_0011_9, c_0101_0, c_0101_2, c_0101_5, c_0101_7, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2546881592706093359/22754656872558853*c_1001_2^13 + 63654307358260231002/22754656872558853*c_1001_2^12 + 1059883002321029143976/22754656872558853*c_1001_2^11 + 6546873325777499274471/22754656872558853*c_1001_2^10 + 22665712647603745404647/22754656872558853*c_1001_2^9 + 49225927385269032656959/22754656872558853*c_1001_2^8 + 68401240665610630611257/22754656872558853*c_1001_2^7 + 56156059894957812683007/22754656872558853*c_1001_2^6 + 15343088473467750302739/22754656872558853*c_1001_2^5 - 19727144585722691495925/22754656872558853*c_1001_2^4 - 2265117116693703926722/2068605170232623*c_1001_2^3 - 11883304562387911303433/22754656872558853*c_1001_2^2 - 2074347123362941756330/22754656872558853*c_1001_2 + 97085092606193849931/22754656872558853, c_0011_0 - 1, c_0011_10 + 2750566471/584234071*c_1001_2^13 - 73482390015/584234071*c_1001_2^12 - 1018267532838/584234071*c_1001_2^11 - 5312017659102/584234071*c_1001_2^10 - 15255831027053/584234071*c_1001_2^9 - 26464662237212/584234071*c_1001_2^8 - 26970896745864/584234071*c_1001_2^7 - 11715291935655/584234071*c_1001_2^6 + 6372318437519/584234071*c_1001_2^5 + 11778447561894/584234071*c_1001_2^4 + 6211662852100/584234071*c_1001_2^3 + 980559278951/584234071*c_1001_2^2 - 149248782052/584234071*c_1001_2 + 2919876360/584234071, c_0011_3 - 8546151808/584234071*c_1001_2^13 + 228504117156/584234071*c_1001_2^12 + 3158192127784/584234071*c_1001_2^11 + 16448552392435/584234071*c_1001_2^10 + 47220369988057/584234071*c_1001_2^9 + 82063320969785/584234071*c_1001_2^8 + 84208308959379/584234071*c_1001_2^7 + 37718475653186/584234071*c_1001_2^6 - 18331516235970/584234071*c_1001_2^5 - 36131291845316/584234071*c_1001_2^4 - 19817165140254/584234071*c_1001_2^3 - 3601311479011/584234071*c_1001_2^2 + 302432673232/584234071*c_1001_2 - 5807728846/584234071, c_0011_4 + 8059063810/584234071*c_1001_2^13 - 215149436869/584234071*c_1001_2^12 - 2987243814669/584234071*c_1001_2^11 - 15628111060238/584234071*c_1001_2^10 - 45090289617671/584234071*c_1001_2^9 - 78827404332505/584234071*c_1001_2^8 - 81547762320808/584234071*c_1001_2^7 - 37247400163433/584234071*c_1001_2^6 + 17067389456575/584234071*c_1001_2^5 + 34894392253540/584234071*c_1001_2^4 + 19417159067627/584234071*c_1001_2^3 + 3621354124132/584234071*c_1001_2^2 - 276970098826/584234071*c_1001_2 + 4288237509/584234071, c_0011_8 - 9323755288/584234071*c_1001_2^13 + 249185133155/584234071*c_1001_2^12 + 3448825788991/584234071*c_1001_2^11 + 17976942822494/584234071*c_1001_2^10 + 51617482187847/584234071*c_1001_2^9 + 89618439711533/584234071*c_1001_2^8 + 91620770483015/584234071*c_1001_2^7 + 40340142593654/584234071*c_1001_2^6 - 20941531500651/584234071*c_1001_2^5 - 39759510727098/584234071*c_1001_2^4 - 21306909403554/584234071*c_1001_2^3 - 3553740972290/584234071*c_1001_2^2 + 446930938663/584234071*c_1001_2 - 9328891989/584234071, c_0011_9 - 4581753736/584234071*c_1001_2^13 + 121985143195/584234071*c_1001_2^12 + 1708108593705/584234071*c_1001_2^11 + 8981411356286/584234071*c_1001_2^10 + 25981805198948/584234071*c_1001_2^9 + 45408412457027/584234071*c_1001_2^8 + 46706387762184/584234071*c_1001_2^7 + 20716585261582/584234071*c_1001_2^6 - 10663480609732/584234071*c_1001_2^5 - 20375570647225/584234071*c_1001_2^4 - 10880036423214/584234071*c_1001_2^3 - 1745695250137/584234071*c_1001_2^2 + 261290518610/584234071*c_1001_2 - 5730372087/584234071, c_0101_0 + 3709977479/584234071*c_1001_2^13 - 99007839733/584234071*c_1001_2^12 - 1376563863628/584234071*c_1001_2^11 - 7195329378083/584234071*c_1001_2^10 - 20688324092683/584234071*c_1001_2^9 - 35896517188386/584234071*c_1001_2^8 - 36525513138886/584234071*c_1001_2^7 - 15703699453102/584234071*c_1001_2^6 + 8882110304126/584234071*c_1001_2^5 + 16075442495085/584234071*c_1001_2^4 + 8345584556043/584234071*c_1001_2^3 + 1224544075356/584234071*c_1001_2^2 - 236068971380/584234071*c_1001_2 + 5558065688/584234071, c_0101_2 - 1, c_0101_5 + 11634141031/584234071*c_1001_2^13 - 311033818614/584234071*c_1001_2^12 - 4300264733126/584234071*c_1001_2^11 - 22406383165667/584234071*c_1001_2^10 - 64363163668930/584234071*c_1001_2^9 - 111954852112647/584234071*c_1001_2^8 - 115054417547114/584234071*c_1001_2^7 - 51767134519394/584234071*c_1001_2^6 + 24788151899189/584234071*c_1001_2^5 + 49301948215105/584234071*c_1001_2^4 + 27161976837597/584234071*c_1001_2^3 + 4990566007626/584234071*c_1001_2^2 - 401442200813/584234071*c_1001_2 + 5826412185/584234071, c_0101_7 + 1350214576/584234071*c_1001_2^13 - 36189626075/584234071*c_1001_2^12 - 496456669536/584234071*c_1001_2^11 - 2570615049822/584234071*c_1001_2^10 - 7339981627534/584234071*c_1001_2^9 - 12687172355629/584234071*c_1001_2^8 - 12936388595485/584234071*c_1001_2^7 - 5716103302279/584234071*c_1001_2^6 + 2886939689333/584234071*c_1001_2^5 + 5562249227453/584234071*c_1001_2^4 + 3025395027152/584234071*c_1001_2^3 + 539649005792/584234071*c_1001_2^2 - 50404608804/584234071*c_1001_2 + 409509242/584234071, c_1001_2^14 - 25*c_1001_2^13 - 416*c_1001_2^12 - 2567*c_1001_2^11 - 8872*c_1001_2^10 - 19214*c_1001_2^9 - 26566*c_1001_2^8 - 21577*c_1001_2^7 - 5561*c_1001_2^6 + 7944*c_1001_2^5 + 9678*c_1001_2^4 + 4467*c_1001_2^3 + 704*c_1001_2^2 - 60*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB