Magma V2.19-8 Wed Aug 21 2013 00:54:54 on localhost [Seed = 1848144941] Type ? for help. Type -D to quit. Loading file "L12n738__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n738 geometric_solution 12.06468902 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 2103 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 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 0.570217736377 0.507162568649 0 4 5 3 0132 0132 0132 2103 1 0 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 -9 9 -1 0 1 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.972519418949 1.147617033839 0 0 6 4 2103 0132 0132 3120 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 -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 0.020853693518 0.870871465755 5 7 0 1 0132 0132 0132 2103 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 -1 1 0 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778835926852 0.834549692474 2 1 8 6 3120 0132 0132 3120 1 0 1 1 0 0 1 -1 -1 0 0 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 -8 8 0 0 -1 1 -1 9 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.972519418949 1.147617033839 3 9 8 1 0132 0132 3120 0132 1 0 1 1 0 0 1 -1 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -9 9 0 0 1 -1 0 9 0 -9 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450635957141 0.363708897106 4 10 8 2 3120 0132 2103 0132 1 0 1 1 0 0 0 0 -1 0 0 1 -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 -1 0 0 1 8 -8 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296710502522 1.119619724437 11 3 12 10 0132 0132 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 9 0 0 -9 -8 0 0 8 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.793557917338 1.344872700940 6 11 5 4 2103 0321 3120 0132 1 0 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 -8 8 0 0 -1 1 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450635957141 0.363708897106 12 5 10 11 2103 0132 2103 1302 1 1 1 1 0 0 0 0 1 0 0 -1 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 -8 0 0 8 -8 8 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576330897081 0.851777043312 9 6 7 12 2103 0132 0132 2310 1 1 1 1 0 0 0 0 0 0 -1 1 0 1 0 -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 9 -9 0 -8 0 8 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455099732006 0.805324756183 7 12 9 8 0132 2103 2031 0321 1 1 1 1 0 0 0 0 1 0 0 -1 1 -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 -9 0 0 9 -9 9 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111511900072 0.726447380800 10 11 9 7 3201 2103 2103 0132 1 1 1 1 0 1 -1 0 1 0 -1 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 -9 8 1 -8 0 8 0 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345997351681 0.599637751200 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_1001_4']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_1001_10'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_1001_5']), 'c_1010_12' : negation(d['c_1001_4']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0011_8'], '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'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : negation(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' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0101_4']), 'c_1100_1' : negation(d['c_0101_5']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0101_4']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_1001_4']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_10'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : negation(d['c_0101_5']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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_12'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0101_10']), 'c_0110_12' : negation(d['c_0011_8']), 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], '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_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_0']})} 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_11, c_0011_12, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_5, c_1001_10, c_1001_4, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 28144650539/24608*c_1001_5^13 + 508386304603/24608*c_1001_5^12 + 1000152563619/6152*c_1001_5^11 + 8992389028155/12304*c_1001_5^10 + 6369639689975/3076*c_1001_5^9 + 23690587947025/6152*c_1001_5^8 + 116266888975499/24608*c_1001_5^7 + 89302133901983/24608*c_1001_5^6 + 31193258488695/24608*c_1001_5^5 - 6615378577947/12304*c_1001_5^4 - 1336634070007/1538*c_1001_5^3 - 5551908424371/12304*c_1001_5^2 - 1536730134727/12304*c_1001_5 - 448559854141/24608, c_0011_0 - 1, c_0011_10 + 4471/29222*c_1001_5^13 + 77901/29222*c_1001_5^12 + 288082/14611*c_1001_5^11 + 1180376/14611*c_1001_5^10 + 2932733/14611*c_1001_5^9 + 4538031/14611*c_1001_5^8 + 447035/1538*c_1001_5^7 + 3849551/29222*c_1001_5^6 - 921591/29222*c_1001_5^5 - 1142235/14611*c_1001_5^4 - 27860/769*c_1001_5^3 - 90832/14611*c_1001_5^2 - 294/769*c_1001_5 + 5285/29222, c_0011_11 + 11121/29222*c_1001_5^13 + 177461/29222*c_1001_5^12 + 608232/14611*c_1001_5^11 + 2343100/14611*c_1001_5^10 + 5582131/14611*c_1001_5^9 + 8524307/14611*c_1001_5^8 + 866461/1538*c_1001_5^7 + 8598297/29222*c_1001_5^6 - 292425/29222*c_1001_5^5 - 1907536/14611*c_1001_5^4 - 66052/769*c_1001_5^3 - 370284/14611*c_1001_5^2 - 2572/769*c_1001_5 + 5551/29222, c_0011_12 + 16563/29222*c_1001_5^13 + 265483/29222*c_1001_5^12 + 915157/14611*c_1001_5^11 + 3549747/14611*c_1001_5^10 + 8520560/14611*c_1001_5^9 + 13106125/14611*c_1001_5^8 + 1340569/1538*c_1001_5^7 + 13430477/29222*c_1001_5^6 - 244337/29222*c_1001_5^5 - 2852574/14611*c_1001_5^4 - 99283/769*c_1001_5^3 - 561744/14611*c_1001_5^2 - 4349/769*c_1001_5 + 8291/29222, c_0011_8 + 11121/29222*c_1001_5^13 + 177461/29222*c_1001_5^12 + 608232/14611*c_1001_5^11 + 2343100/14611*c_1001_5^10 + 5582131/14611*c_1001_5^9 + 8524307/14611*c_1001_5^8 + 866461/1538*c_1001_5^7 + 8598297/29222*c_1001_5^6 - 292425/29222*c_1001_5^5 - 1907536/14611*c_1001_5^4 - 66052/769*c_1001_5^3 - 370284/14611*c_1001_5^2 - 2572/769*c_1001_5 + 5551/29222, c_0101_0 - 1, c_0101_1 - c_1001_5 - 1, c_0101_10 - 1259/29222*c_1001_5^13 - 18871/29222*c_1001_5^12 - 59733/14611*c_1001_5^11 - 207484/14611*c_1001_5^10 - 431917/14611*c_1001_5^9 - 559492/14611*c_1001_5^8 - 49013/1538*c_1001_5^7 - 516473/29222*c_1001_5^6 - 176013/29222*c_1001_5^5 - 10820/14611*c_1001_5^4 + 1349/769*c_1001_5^3 + 59195/14611*c_1001_5^2 + 864/769*c_1001_5 + 8747/29222, c_0101_4 - c_1001_5 - 1, c_0101_5 + 335/1538*c_1001_5^13 + 5345/1538*c_1001_5^12 + 18325/769*c_1001_5^11 + 70350/769*c_1001_5^10 + 164929/769*c_1001_5^9 + 240339/769*c_1001_5^8 + 411909/1538*c_1001_5^7 + 143515/1538*c_1001_5^6 - 89939/1538*c_1001_5^5 - 62205/769*c_1001_5^4 - 19791/769*c_1001_5^3 + 28/769*c_1001_5^2 + 610/769*c_1001_5 + 321/1538, c_1001_10 + c_1001_5, c_1001_4 - 4471/29222*c_1001_5^13 - 77901/29222*c_1001_5^12 - 288082/14611*c_1001_5^11 - 1180376/14611*c_1001_5^10 - 2932733/14611*c_1001_5^9 - 4538031/14611*c_1001_5^8 - 447035/1538*c_1001_5^7 - 3849551/29222*c_1001_5^6 + 921591/29222*c_1001_5^5 + 1142235/14611*c_1001_5^4 + 27860/769*c_1001_5^3 + 90832/14611*c_1001_5^2 + 294/769*c_1001_5 - 5285/29222, c_1001_5^14 + 18*c_1001_5^13 + 141*c_1001_5^12 + 630*c_1001_5^11 + 1770*c_1001_5^10 + 3252*c_1001_5^9 + 3917*c_1001_5^8 + 2910*c_1001_5^7 + 906*c_1001_5^6 - 541*c_1001_5^5 - 730*c_1001_5^4 - 346*c_1001_5^3 - 84*c_1001_5^2 - 9*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB