Magma V2.19-8 Tue Aug 20 2013 23:44:26 on localhost [Seed = 660685486] Type ? for help. Type -D to quit. Loading file "L14n37524__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n37524 geometric_solution 10.83636848 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 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 0 0 0 0 -3 0 3 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606901714524 0.619868052597 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 1 -1 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 2 -2 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.646652192950 0.878203325835 6 0 8 3 3201 0132 0132 1230 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 3 -3 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.686216800324 1.033738652695 2 8 8 0 3012 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776692334279 0.709991163449 9 6 0 10 0132 0132 0132 0132 0 0 0 0 0 1 -1 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 2 -3 1 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.891880432242 0.732986194489 7 1 10 10 2310 0132 0213 1230 0 1 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 -1 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577013503491 0.753297400157 8 4 1 2 2031 0132 0132 2310 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 -2 2 0 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.606901714524 0.619868052597 9 9 5 1 3120 1230 3201 0132 0 0 0 1 0 0 1 -1 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 -3 0 3 -6 7 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577013503491 0.753297400157 3 3 6 2 2031 3120 1302 0132 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.298595343376 0.641169078445 4 10 7 7 0132 2310 3012 3120 1 0 0 0 0 0 1 -1 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 1 -7 6 0 0 0 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577013503491 0.753297400157 5 5 4 9 3012 0213 0132 3201 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 -1 1 0 0 0 0 0 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577013503491 0.753297400157 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_1001_10'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0011_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_10'], 's_2_0' : negation(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' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0101_0'], 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0011_3']), 'c_1100_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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'], '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' : 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' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(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_0011_7'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), 'c_0101_2' : d['c_0101_2'], '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_0011_4'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_1'], '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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 19016645419800885987325233/464882324322355421029916*c_1001_10^7 + 3734407960763152390042472325/929764648644710842059832*c_1001_10^6 - 668782094007236773144119633/929764648644710842059832*c_1001_10^5 - 5620011663673406217294563571/929764648644710842059832*c_1001_10^4 + 6966380544180904062051554231/929764648644710842059832*c_1001_10^3 + 8623841080490673251257722617/464882324322355421029916*c_1001_10^2 + 515037788434281272150007453/40424549941074384437384*c_1001_10 + 4045608997841645160245195353/929764648644710842059832, c_0011_0 - 1, c_0011_10 - 1, c_0011_3 + 24889545161559/4310132313320348*c_1001_10^7 - 1243519562044629/2155066156660174*c_1001_10^6 + 2351444944489395/2155066156660174*c_1001_10^5 + 116284303277625/1077533078330087*c_1001_10^4 - 8027836532627347/4310132313320348*c_1001_10^3 - 1622202187572695/4310132313320348*c_1001_10^2 + 1572726237039537/1077533078330087*c_1001_10 + 2098493844790335/4310132313320348, c_0011_4 + 11189145246843/4310132313320348*c_1001_10^7 - 550316409976713/2155066156660174*c_1001_10^6 + 194912488024427/2155066156660174*c_1001_10^5 + 473064387758595/1077533078330087*c_1001_10^4 - 2725492382316191/4310132313320348*c_1001_10^3 - 4714247619819619/4310132313320348*c_1001_10^2 - 18162463463189/1077533078330087*c_1001_10 + 3868874049968971/4310132313320348, c_0011_7 - 2996668999860/1077533078330087*c_1001_10^7 + 590278154523969/2155066156660174*c_1001_10^6 - 269682325540243/2155066156660174*c_1001_10^5 - 2146397366937343/2155066156660174*c_1001_10^4 + 3779943947699729/2155066156660174*c_1001_10^3 + 1296554069874200/1077533078330087*c_1001_10^2 - 2408139647513367/2155066156660174*c_1001_10 - 1158935835776821/2155066156660174, c_0011_8 + 18039345204201/4310132313320348*c_1001_10^7 - 896917986010671/2155066156660174*c_1001_10^6 + 1273178716256911/2155066156660174*c_1001_10^5 + 294674345518110/1077533078330087*c_1001_10^4 - 5376664457471769/4310132313320348*c_1001_10^3 - 3168224903696157/4310132313320348*c_1001_10^2 + 777281886788174/1077533078330087*c_1001_10 + 2983683947379653/4310132313320348, c_0101_0 - 8411888338599/1077533078330087*c_1001_10^7 + 834841742517546/1077533078330087*c_1001_10^6 - 1024342174606543/1077533078330087*c_1001_10^5 - 796589037861444/1077533078330087*c_1001_10^4 + 2452586938444183/1077533078330087*c_1001_10^3 + 1642966095380056/1077533078330087*c_1001_10^2 - 869977660274311/1077533078330087*c_1001_10 - 797448934976112/1077533078330087, c_0101_1 - c_1001_10, c_0101_10 - 2996668999860/1077533078330087*c_1001_10^7 + 590278154523969/2155066156660174*c_1001_10^6 - 269682325540243/2155066156660174*c_1001_10^5 - 2146397366937343/2155066156660174*c_1001_10^4 + 3779943947699729/2155066156660174*c_1001_10^3 + 1296554069874200/1077533078330087*c_1001_10^2 - 4563205804173541/2155066156660174*c_1001_10 - 1158935835776821/2155066156660174, c_0101_2 - 18039345204201/4310132313320348*c_1001_10^7 + 896917986010671/2155066156660174*c_1001_10^6 - 1273178716256911/2155066156660174*c_1001_10^5 - 294674345518110/1077533078330087*c_1001_10^4 + 5376664457471769/4310132313320348*c_1001_10^3 + 3168224903696157/4310132313320348*c_1001_10^2 - 777281886788174/1077533078330087*c_1001_10 - 2983683947379653/4310132313320348, c_1001_10^8 - 99*c_1001_10^7 + 292/3*c_1001_10^6 + 398/3*c_1001_10^5 - 907/3*c_1001_10^4 - 304*c_1001_10^3 + 163/3*c_1001_10^2 + 145*c_1001_10 + 257/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB