Magma V2.19-8 Mon Sep 9 2013 20:34:25 on localhost [Seed = 342372205] Type ? for help. Type -D to quit. Loading file "10_105__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_105 geometric_solution 15.18169550 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 16 1 2 2 3 0132 0132 1302 0132 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 -1 0 1 0 0 -1 1 0 1 0 -1 -1 -4 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344266173734 1.012897588943 0 4 6 5 0132 0132 0132 0132 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 0 0 0 0.785544729508 0.944021017235 0 0 8 7 2031 0132 0132 0132 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 1 0 -1 0 0 0 0 -5 4 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699194432466 0.885028089722 9 10 0 9 0132 0132 0132 2031 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 1 0 -1 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 0.344266173734 1.012897588943 5 1 11 12 0213 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650388814431 0.349559154000 4 13 1 14 0213 0132 0132 0132 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 0 0 0 0.530529502733 0.539015907274 8 13 15 1 2310 0213 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0.656437337868 0.948683269828 15 15 2 14 0213 2103 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397945912371 0.673596449646 9 14 6 2 3201 2310 3201 0132 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 0 0 0 0.675277453250 0.619985793695 3 3 15 8 0132 1302 1023 2310 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 0 1 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699194432466 0.885028089722 11 3 11 12 2031 0132 3201 2031 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 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 0.180918317165 0.888575061273 10 13 10 4 2310 0321 1302 0132 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 -1 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 0.180918317165 0.888575061273 14 10 4 13 0321 1302 0132 2310 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 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 1.082507380411 0.621736443410 12 5 6 11 3201 0132 0213 0321 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 0 0 0 0 0 0 0 0 0 0.605176590187 0.369727409864 12 7 5 8 0321 2310 0132 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656437337868 0.948683269828 7 7 9 6 0213 2103 1023 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397945912371 0.673596449646 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0011_7'], 'c_1001_14' : d['c_1001_13'], 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : d['c_0011_10'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0110_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_15'], 'c_1001_6' : d['c_1001_13'], 'c_1001_1' : d['c_0110_10'], 'c_1001_0' : d['c_0011_15'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_13' : d['c_1001_4'], 'c_1010_12' : d['c_0011_11'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0011_12'], 'c_1010_15' : d['c_1001_13'], 'c_1010_14' : d['c_0101_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_3_15' : d['1'], 's_0_15' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0011_13'], 'c_0101_15' : d['c_0011_7'], 'c_0101_14' : negation(d['c_0101_12']), '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_2_15' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : d['c_0011_13'], 'c_1100_7' : negation(d['c_0011_14']), 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : negation(d['c_0011_8']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_14']), 'c_1100_14' : negation(d['c_0011_8']), 'c_1100_15' : negation(d['c_0011_8']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_8'], 'c_1100_11' : d['c_0011_13'], 'c_1100_10' : negation(d['c_0011_11']), 'c_1100_13' : d['c_0110_10'], 's_0_11' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_1001_13']), 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_1001_13'], 'c_1010_4' : d['c_0110_10'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_15'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_12'], 's_0_14' : d['1'], 'c_1010_9' : negation(d['c_0101_2']), 's_3_14' : d['1'], 'c_1100_8' : negation(d['c_0011_14']), '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'], 'c_1100_12' : d['c_0011_13'], '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_8'], 'c_0011_5' : negation(d['c_0011_13']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_14'], '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_13']), 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_14']), 'c_0110_15' : d['c_0101_6'], 'c_0110_14' : negation(d['c_0011_12']), 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 's_2_14' : d['1'], 's_0_9' : d['1'], 'c_1010_8' : d['c_0011_12'], 'c_0101_7' : d['c_0011_15'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_13']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : negation(d['c_0101_1']), 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0011_15'], 'c_0110_5' : negation(d['c_0101_12']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_1'], 'c_0101_13' : d['c_0011_14']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_14, c_0011_15, c_0011_7, c_0011_8, c_0101_1, c_0101_12, c_0101_2, c_0101_6, c_0110_10, c_1001_13, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 66779252/3467269*c_1001_4^7 - 18269496/3467269*c_1001_4^6 + 4683762/3467269*c_1001_4^5 + 271170752/3467269*c_1001_4^4 - 194179175/3467269*c_1001_4^3 - 25146632/203957*c_1001_4^2 - 424931634/3467269*c_1001_4 + 12723550/3467269, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 84/541*c_1001_4^7 - 18/541*c_1001_4^6 + 228/541*c_1001_4^5 + 153/541*c_1001_4^4 - 110/541*c_1001_4^3 - 1371/541*c_1001_4^2 + 716/541*c_1001_4 + 392/541, c_0011_12 + 135/541*c_1001_4^7 - 87/541*c_1001_4^6 + 20/541*c_1001_4^5 - 613/541*c_1001_4^4 + 911/541*c_1001_4^3 + 136/541*c_1001_4^2 + 395/541*c_1001_4 - 630/541, c_0011_13 + 95/541*c_1001_4^7 + 59/541*c_1001_4^6 - 26/541*c_1001_4^5 - 231/541*c_1001_4^4 + 60/541*c_1001_4^3 + 797/541*c_1001_4^2 + 298/541*c_1001_4 + 278/541, c_0011_14 - 117/541*c_1001_4^7 - 141/541*c_1001_4^6 + 163/541*c_1001_4^5 + 387/541*c_1001_4^4 + 40/541*c_1001_4^3 - 1813/541*c_1001_4^2 - 162/541*c_1001_4 + 5/541, c_0011_15 - 230/541*c_1001_4^7 + 28/541*c_1001_4^6 + 6/541*c_1001_4^5 + 844/541*c_1001_4^4 - 971/541*c_1001_4^3 - 933/541*c_1001_4^2 - 693/541*c_1001_4 - 189/541, c_0011_7 + 230/541*c_1001_4^7 - 28/541*c_1001_4^6 - 6/541*c_1001_4^5 - 844/541*c_1001_4^4 + 971/541*c_1001_4^3 + 933/541*c_1001_4^2 + 693/541*c_1001_4 + 189/541, c_0011_8 + 117/541*c_1001_4^7 + 141/541*c_1001_4^6 - 163/541*c_1001_4^5 - 387/541*c_1001_4^4 - 40/541*c_1001_4^3 + 1813/541*c_1001_4^2 + 162/541*c_1001_4 - 5/541, c_0101_1 - 135/541*c_1001_4^7 + 87/541*c_1001_4^6 - 20/541*c_1001_4^5 + 613/541*c_1001_4^4 - 911/541*c_1001_4^3 - 136/541*c_1001_4^2 - 395/541*c_1001_4 + 630/541, c_0101_12 + 30/541*c_1001_4^7 + 161/541*c_1001_4^6 - 236/541*c_1001_4^5 - 16/541*c_1001_4^4 - 579/541*c_1001_4^3 + 1533/541*c_1001_4^2 - 333/541*c_1001_4 - 140/541, c_0101_2 + 46/541*c_1001_4^7 - 222/541*c_1001_4^6 + 107/541*c_1001_4^5 - 277/541*c_1001_4^4 + 1168/541*c_1001_4^3 - 1220/541*c_1001_4^2 - 186/541*c_1001_4 - 936/541, c_0101_6 - 165/541*c_1001_4^7 - 74/541*c_1001_4^6 + 216/541*c_1001_4^5 + 629/541*c_1001_4^4 - 332/541*c_1001_4^3 - 1669/541*c_1001_4^2 - 62/541*c_1001_4 + 229/541, c_0110_10 - 30/541*c_1001_4^7 - 161/541*c_1001_4^6 + 236/541*c_1001_4^5 + 16/541*c_1001_4^4 + 579/541*c_1001_4^3 - 1533/541*c_1001_4^2 + 333/541*c_1001_4 + 140/541, c_1001_13 - 48/541*c_1001_4^7 + 67/541*c_1001_4^6 + 53/541*c_1001_4^5 + 242/541*c_1001_4^4 - 372/541*c_1001_4^3 + 144/541*c_1001_4^2 + 100/541*c_1001_4 + 224/541, c_1001_4^8 - 4*c_1001_4^5 + 4*c_1001_4^4 + 5*c_1001_4^3 + 5*c_1001_4^2 - c_1001_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 467.830 Total time: 468.040 seconds, Total memory usage: 2095.41MB