Magma V2.19-8 Tue Aug 20 2013 20:09:57 on localhost [Seed = 357777951] Type ? for help. Type -D to quit. Loading file "11_360__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_360 geometric_solution 14.41597616 oriented_manifold CS_known -0.0000000000000008 1 0 torus 0.000000000000 0.000000000000 15 1 2 1 3 0132 0132 3012 0132 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 6 1 -7 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 0.516570875399 1.507316295300 0 0 5 4 0132 1230 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 0 1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.192931293224 0.601553500506 6 0 7 6 0132 0132 0132 2031 0 0 0 0 0 1 -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 0 -6 6 0 7 0 -1 -6 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393419298524 0.701688417012 8 9 0 7 0132 0132 0132 2310 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 0 0 0 0 0 -7 7 0 -1 0 1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.234586267743 0.561511148763 10 10 1 7 0132 1302 0132 1302 0 0 0 0 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 0 -6 6 0 0 -6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.622977661582 0.716861372221 11 9 8 1 0132 1023 3120 0132 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 6 -6 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 0.293233999361 0.764570690718 2 2 11 12 0132 1302 2031 0132 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 6 0 -6 -7 0 0 7 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392069678192 1.084282511720 3 9 4 2 3201 0321 2031 0132 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 0 6 -6 0 0 -1 1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.410359357148 0.774055336627 3 13 5 11 0132 0132 3120 0132 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 1 0 0 -1 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402382443390 0.513045785676 5 3 14 7 1023 0132 0132 0321 0 0 0 0 0 -1 1 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 7 -7 0 -6 0 0 6 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.970457688991 1.167323730816 4 13 12 4 0132 1230 3012 2031 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 0 0 0 -6 0 6 0 0 -1 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574697574243 1.092716398219 5 13 8 6 0132 1023 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.253734498093 1.576592831550 14 10 6 14 1230 1230 0132 1302 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 -6 6 0 0 0 -7 7 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314443205498 0.998121268537 11 8 10 14 1023 0132 3012 2310 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 -6 6 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 0.344327134402 0.945786588425 13 12 12 9 3201 3012 2031 0132 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -7 7 0 0 0 0 -6 0 0 6 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614336818860 0.773066920898 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_0110_6' : d['c_0101_12'], 'c_1001_14' : negation(d['c_0011_12']), 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_13' : negation(d['c_0011_10']), 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0011_7']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_13' : negation(d['c_0101_9']), 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_14']), 'c_1010_10' : negation(d['c_0011_10']), 'c_1010_14' : negation(d['c_0101_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 'c_0101_13' : negation(d['c_0011_10']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0101_14'], '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_2_14' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_12'], 'c_1100_9' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_7'], 'c_1100_4' : d['c_0101_7'], 'c_1100_7' : negation(d['c_1001_12']), 'c_1100_6' : d['c_0101_14'], 'c_1100_1' : d['c_0101_7'], 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : negation(d['c_1001_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_5']), 'c_1100_10' : negation(d['c_1001_12']), 'c_1100_13' : d['c_0011_12'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_1001_12'], 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1100_14' : negation(d['c_0101_10']), 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0011_10']), 's_3_1' : d['1'], 's_2_8' : 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_0101_14'], '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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0101_0'], 'c_0110_13' : negation(d['c_0101_14']), 'c_0110_12' : d['c_0011_12'], 'c_0110_14' : d['c_0101_9'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_1010_0' : d['c_1001_2'], 's_0_8' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_7']), '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' : negation(d['c_0011_7']), 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_7']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_1100_8' : negation(d['c_0101_5'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_14, c_0101_5, c_0101_7, c_0101_9, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2909068996598/482387819989*c_1001_2^13 + 600025570102/482387819989*c_1001_2^12 - 1016313097639/28375754117*c_1001_2^11 - 2903654581768/482387819989*c_1001_2^10 - 42147713890983/482387819989*c_1001_2^9 - 17496511599658/482387819989*c_1001_2^8 - 59712615324934/482387819989*c_1001_2^7 - 29500094432833/482387819989*c_1001_2^6 - 47170194343666/482387819989*c_1001_2^5 - 19540673048462/482387819989*c_1001_2^4 - 16306700434153/482387819989*c_1001_2^3 - 331194108126/25388832631*c_1001_2^2 - 1539829166351/482387819989*c_1001_2 - 427649871760/482387819989, c_0011_0 - 1, c_0011_10 + 201/197*c_1001_2^13 - 117/197*c_1001_2^12 + 1632/197*c_1001_2^11 - 649/197*c_1001_2^10 + 5650/197*c_1001_2^9 - 1433/197*c_1001_2^8 + 10763/197*c_1001_2^7 - 1380/197*c_1001_2^6 + 11859/197*c_1001_2^5 - 732/197*c_1001_2^4 + 7395/197*c_1001_2^3 - 417/197*c_1001_2^2 + 2153/197*c_1001_2 + 118/197, c_0011_11 - 163/197*c_1001_2^13 + 89/197*c_1001_2^12 - 1297/197*c_1001_2^11 + 492/197*c_1001_2^10 - 4377/197*c_1001_2^9 + 1117/197*c_1001_2^8 - 8098/197*c_1001_2^7 + 1272/197*c_1001_2^6 - 8632/197*c_1001_2^5 + 1067/197*c_1001_2^4 - 5206/197*c_1001_2^3 + 691/197*c_1001_2^2 - 1498/197*c_1001_2 - 179/197, c_0011_12 - 276/197*c_1001_2^13 - 4/197*c_1001_2^12 - 2091/197*c_1001_2^11 - 332/197*c_1001_2^10 - 6882/197*c_1001_2^9 - 1790/197*c_1001_2^8 - 12565/197*c_1001_2^7 - 4068/197*c_1001_2^6 - 13329/197*c_1001_2^5 - 3667/197*c_1001_2^4 - 7708/197*c_1001_2^3 - 974/197*c_1001_2^2 - 1989/197*c_1001_2 - 262/197, c_0011_7 + 118/197*c_1001_2^13 - 4/197*c_1001_2^12 + 864/197*c_1001_2^11 + 62/197*c_1001_2^10 + 2771/197*c_1001_2^9 + 377/197*c_1001_2^8 + 4968/197*c_1001_2^7 + 857/197*c_1001_2^6 + 5189/197*c_1001_2^5 + 667/197*c_1001_2^4 + 2930/197*c_1001_2^3 + 208/197*c_1001_2^2 + 769/197*c_1001_2 + 329/197, c_0101_0 - 132/197*c_1001_2^13 + 118/197*c_1001_2^12 - 1060/197*c_1001_2^11 + 732/197*c_1001_2^10 - 3634/197*c_1001_2^9 + 1979/197*c_1001_2^8 - 6883/197*c_1001_2^7 + 2988/197*c_1001_2^6 - 7591/197*c_1001_2^5 + 3077/197*c_1001_2^4 - 4877/197*c_1001_2^3 + 2138/197*c_1001_2^2 - 1508/197*c_1001_2 + 637/197, c_0101_1 - 1, c_0101_10 - 156/197*c_1001_2^13 + 32/197*c_1001_2^12 - 1199/197*c_1001_2^11 + 95/197*c_1001_2^10 - 4044/197*c_1001_2^9 - 61/197*c_1001_2^8 - 7633/197*c_1001_2^7 - 749/197*c_1001_2^6 - 8416/197*c_1001_2^5 - 1002/197*c_1001_2^4 - 5119/197*c_1001_2^3 - 679/197*c_1001_2^2 - 1424/197*c_1001_2 - 465/197, c_0101_12 - 282/197*c_1001_2^13 + 73/197*c_1001_2^12 - 2175/197*c_1001_2^11 + 346/197*c_1001_2^10 - 7280/197*c_1001_2^9 + 655/197*c_1001_2^8 - 13442/197*c_1001_2^7 + 563/197*c_1001_2^6 - 14274/197*c_1001_2^5 + 977/197*c_1001_2^4 - 8261/197*c_1001_2^3 + 1129/197*c_1001_2^2 - 2362/197*c_1001_2 - 45/197, c_0101_14 + 136/197*c_1001_2^13 - 38/197*c_1001_2^12 + 1116/197*c_1001_2^11 - 199/197*c_1001_2^10 + 3965/197*c_1001_2^9 - 457/197*c_1001_2^8 + 7796/197*c_1001_2^7 - 625/197*c_1001_2^6 + 8812/197*c_1001_2^5 - 1051/197*c_1001_2^4 + 5180/197*c_1001_2^3 - 1373/197*c_1001_2^2 + 1100/197*c_1001_2 - 519/197, c_0101_5 - 61/197*c_1001_2^13 - 38/197*c_1001_2^12 - 460/197*c_1001_2^11 - 396/197*c_1001_2^10 - 1551/197*c_1001_2^9 - 1639/197*c_1001_2^8 - 3039/197*c_1001_2^7 - 3580/197*c_1001_2^6 - 3796/197*c_1001_2^5 - 4203/197*c_1001_2^4 - 2897/197*c_1001_2^3 - 2555/197*c_1001_2^2 - 1067/197*c_1001_2 - 716/197, c_0101_7 + 150/197*c_1001_2^13 + 45/197*c_1001_2^12 + 1115/197*c_1001_2^11 + 583/197*c_1001_2^10 + 3646/197*c_1001_2^9 + 2506/197*c_1001_2^8 + 6756/197*c_1001_2^7 + 5380/197*c_1001_2^6 + 7471/197*c_1001_2^5 + 5843/197*c_1001_2^4 + 4566/197*c_1001_2^3 + 3176/197*c_1001_2^2 + 1051/197*c_1001_2 + 879/197, c_0101_9 + 440/197*c_1001_2^13 - 65/197*c_1001_2^12 + 3402/197*c_1001_2^11 - 76/197*c_1001_2^10 + 11391/197*c_1001_2^9 + 758/197*c_1001_2^8 + 21039/197*c_1001_2^7 + 2648/197*c_1001_2^6 + 22217/197*c_1001_2^5 + 2023/197*c_1001_2^4 + 12251/197*c_1001_2^3 - 560/197*c_1001_2^2 + 2597/197*c_1001_2 - 219/197, c_1001_12 - 320/197*c_1001_2^13 + 101/197*c_1001_2^12 - 2510/197*c_1001_2^11 + 503/197*c_1001_2^10 - 8553/197*c_1001_2^9 + 971/197*c_1001_2^8 - 16107/197*c_1001_2^7 + 671/197*c_1001_2^6 - 17501/197*c_1001_2^5 + 642/197*c_1001_2^4 - 10450/197*c_1001_2^3 + 855/197*c_1001_2^2 - 3017/197*c_1001_2 + 16/197, c_1001_2^14 + 8*c_1001_2^12 + c_1001_2^11 + 28*c_1001_2^10 + 6*c_1001_2^9 + 55*c_1001_2^8 + 15*c_1001_2^7 + 64*c_1001_2^6 + 16*c_1001_2^5 + 42*c_1001_2^4 + 6*c_1001_2^3 + 13*c_1001_2^2 + c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 195.550 Total time: 195.759 seconds, Total memory usage: 733.31MB