Magma V2.19-8 Tue Aug 20 2013 23:52:33 on localhost [Seed = 1511797125] Type ? for help. Type -D to quit. Loading file "L13n2859__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2859 geometric_solution 11.13571879 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 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 -1 1 -1 0 1 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 0.714698228516 1.265024781870 0 5 7 6 0132 0132 0132 0132 0 0 0 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 1 -1 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 0 0 0 -0.012188098650 0.527934550163 8 0 9 6 0132 0132 0132 2103 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314543808715 1.066616931133 10 8 11 0 0132 2310 0132 0132 1 0 0 1 0 0 0 0 0 0 1 -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 -1 0 1 0 0 1 -1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.476536988956 0.489485988751 11 7 0 5 0132 3012 0132 1302 1 0 0 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 -1 1 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 0.543301490779 0.421514110032 8 1 4 10 1023 0132 2031 3201 0 1 1 0 0 0 0 0 -1 0 0 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 -1 1 0 -8 0 -1 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.276993439826 0.931023511056 10 9 1 2 2103 1023 0132 2103 0 0 1 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 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 0.529461689151 0.945013354761 4 9 8 1 1230 3120 3120 0132 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 0 0 0 -1 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 0 0 -0.010512726122 1.742216640736 2 5 7 3 0132 1023 3120 3201 1 0 1 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 0 0 0 0 0 0 0 8 0 -8 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 0.582350474446 1.056746353091 6 7 11 2 1023 3120 0321 0132 1 0 1 0 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 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 -0.000601958088 0.956786770966 3 5 6 11 0132 2310 2103 0321 1 0 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 0 0 0 0 0 0 0 0 0 0 0 8 -9 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349886674452 1.523705236188 4 10 9 3 0132 0321 0321 0132 1 0 1 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 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 0.872314693784 0.664167183550 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : negation(d['c_0110_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(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_1100_9' : negation(d['c_0110_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0110_6']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_5'], 'c_1100_10' : negation(d['c_0110_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : negation(d['c_0101_11']), 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : negation(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' : negation(d['1']), 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_11']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_0' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : negation(d['c_0011_11']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_11']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_0, c_0101_11, c_0101_2, c_0101_5, c_0101_8, c_0110_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 8248355513/23400*c_0110_6^8 + 14436480977/7020*c_0110_6^7 + 146075179397/7020*c_0110_6^6 + 5743400538883/35100*c_0110_6^5 + 4178765744897/8775*c_0110_6^4 + 9674418444139/17550*c_0110_6^3 + 3131921263619/8775*c_0110_6^2 + 98984079956/975*c_0110_6 + 49714830938/2925, c_0011_0 - 1, c_0011_10 - 47/2700*c_0110_6^8 - 1/10*c_0110_6^7 - 55/54*c_0110_6^6 - 10789/1350*c_0110_6^5 - 3421/150*c_0110_6^4 - 34099/1350*c_0110_6^3 - 10994/675*c_0110_6^2 - 376/75*c_0110_6 - 389/675, c_0011_11 + 313/8100*c_0110_6^8 + 92/405*c_0110_6^7 + 3713/1620*c_0110_6^6 + 73061/4050*c_0110_6^5 + 107398/2025*c_0110_6^4 + 127363/2025*c_0110_6^3 + 83746/2025*c_0110_6^2 + 22561/2025*c_0110_6 + 2701/2025, c_0011_6 - 28/2025*c_0110_6^8 - 7/81*c_0110_6^7 - 341/405*c_0110_6^6 - 27209/4050*c_0110_6^5 - 84689/4050*c_0110_6^4 - 105569/4050*c_0110_6^3 - 29509/2025*c_0110_6^2 - 5239/2025*c_0110_6 + 521/2025, c_0011_7 - 241/8100*c_0110_6^8 - 133/810*c_0110_6^7 - 689/405*c_0110_6^6 - 26851/2025*c_0110_6^5 - 145097/4050*c_0110_6^4 - 137057/4050*c_0110_6^3 - 32572/2025*c_0110_6^2 - 1027/2025*c_0110_6 + 293/2025, c_0101_0 - 1, c_0101_11 - 11/225*c_0110_6^8 - 139/540*c_0110_6^7 - 49/18*c_0110_6^6 - 4739/225*c_0110_6^5 - 35867/675*c_0110_6^4 - 17623/450*c_0110_6^3 - 2588/225*c_0110_6^2 - 29/675*c_0110_6 + 172/225, c_0101_2 + 23/1620*c_0110_6^8 + 32/405*c_0110_6^7 + 661/810*c_0110_6^6 + 1031/162*c_0110_6^5 + 14113/810*c_0110_6^4 + 1381/81*c_0110_6^3 + 3422/405*c_0110_6^2 + 611/405*c_0110_6 - 103/405, c_0101_5 - 109/8100*c_0110_6^8 - 29/405*c_0110_6^7 - 1217/1620*c_0110_6^6 - 23603/4050*c_0110_6^5 - 30034/2025*c_0110_6^4 - 43223/4050*c_0110_6^3 - 2173/2025*c_0110_6^2 + 6302/2025*c_0110_6 + 1112/2025, c_0101_8 + 7/8100*c_0110_6^8 + 41/1620*c_0110_6^7 + 233/1620*c_0110_6^6 + 5939/4050*c_0110_6^5 + 18562/2025*c_0110_6^4 + 36262/2025*c_0110_6^3 + 11584/2025*c_0110_6^2 + 2179/2025*c_0110_6 - 1046/2025, c_0110_5 - 101/4050*c_0110_6^8 - 23/162*c_0110_6^7 - 1177/810*c_0110_6^6 - 23032/2025*c_0110_6^5 - 65047/2025*c_0110_6^4 - 140849/4050*c_0110_6^3 - 41389/2025*c_0110_6^2 - 8344/2025*c_0110_6 - 784/2025, c_0110_6^9 + 6*c_0110_6^8 + 60*c_0110_6^7 + 474*c_0110_6^6 + 1428*c_0110_6^5 + 1788*c_0110_6^4 + 1272*c_0110_6^3 + 456*c_0110_6^2 + 96*c_0110_6 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB