Magma V2.19-8 Tue Aug 20 2013 23:38:46 on localhost [Seed = 1814693926] Type ? for help. Type -D to quit. Loading file "K12n13__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n13 geometric_solution 10.02522071 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 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 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 1.198649310259 0.855829565505 0 5 5 4 0132 0132 1023 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976326928190 0.652003835697 6 0 3 6 0132 0132 3120 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 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 0.710154353414 1.106750119326 7 5 2 0 0132 2031 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.011160980085 0.518873207265 1 7 0 8 3012 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 0.824938937774 0.947454920889 3 1 1 7 1302 0132 1023 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 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 0.809027604944 0.719421791018 2 2 9 8 0132 1302 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589319812662 0.640030359818 3 5 4 10 0132 1302 0213 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.883389896408 1.705782072549 10 9 4 6 1023 3201 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1.101307906042 0.803159224955 10 10 8 6 3120 1023 2310 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 0 0 0 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915937920136 1.084904005658 9 8 7 9 1023 1023 0132 3120 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070993393450 0.916239724903 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0110_5'], 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0110_5']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_10' : negation(d['c_0011_10']), '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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_2']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : negation(d['c_0101_9']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0101_9']), 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : negation(d['c_0101_9']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : negation(d['c_0101_10']), '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'], '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_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_6'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : 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_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0101_8, c_0101_9, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 147443/179959*c_0101_9^3*c_0110_5 - 134841/359918*c_0101_9^3 - 615111/359918*c_0101_9^2*c_0110_5 - 79129/179959*c_0101_9^2 + 2000155/359918*c_0101_9*c_0110_5 - 94554/179959*c_0101_9 - 614287/359918*c_0110_5 - 1141215/179959, c_0011_0 - 1, c_0011_10 + 37/127*c_0101_9^3*c_0110_5 + 22/127*c_0101_9^3 + 9/127*c_0101_9^2*c_0110_5 - 53/127*c_0101_9^2 + 106/127*c_0101_9*c_0110_5 + 166/127*c_0101_9 + 389/127*c_0110_5 - 160/127, c_0011_3 + c_0110_5, c_0011_4 + 11/127*c_0101_9^3*c_0110_5 + 34/127*c_0101_9^3 + 37/127*c_0101_9^2*c_0110_5 - 105/127*c_0101_9^2 - 44/127*c_0101_9*c_0110_5 + 245/127*c_0101_9 + 301/127*c_0110_5 - 178/127, c_0101_1 + 39/127*c_0101_9^3*c_0110_5 - 18/127*c_0101_9^3 - 42/127*c_0101_9^2*c_0110_5 - 49/127*c_0101_9^2 + 225/127*c_0101_9*c_0110_5 - 55/127*c_0101_9 + 132/127*c_0110_5 - 354/127, c_0101_10 - 58/127*c_0101_9^3*c_0110_5 + 17/127*c_0101_9^3 + 82/127*c_0101_9^2*c_0110_5 + 11/127*c_0101_9^2 - 276/127*c_0101_9*c_0110_5 - 68/127*c_0101_9 - 167/127*c_0110_5 + 292/127, c_0101_2 - 6/127*c_0101_9^3*c_0110_5 - 7/127*c_0101_9^3 + 26/127*c_0101_9^2*c_0110_5 - 12/127*c_0101_9^2 + 24/127*c_0101_9*c_0110_5 - 99/127*c_0101_9 + 9/127*c_0110_5 - 53/127, c_0101_6 + 24/127*c_0101_9^3*c_0110_5 + 28/127*c_0101_9^3 + 23/127*c_0101_9^2*c_0110_5 - 79/127*c_0101_9^2 + 31/127*c_0101_9*c_0110_5 + 269/127*c_0101_9 + 345/127*c_0110_5 - 169/127, c_0101_8 + 21/127*c_0101_9^3*c_0110_5 - 39/127*c_0101_9^3 - 91/127*c_0101_9^2*c_0110_5 + 42/127*c_0101_9^2 + 170/127*c_0101_9*c_0110_5 - 225/127*c_0101_9 - 95/127*c_0110_5 - 259/127, c_0101_9^4 + 3*c_0101_9^3*c_0110_5 - 3*c_0101_9^3 - 4*c_0101_9^2*c_0110_5 + 6*c_0101_9^2 + 16*c_0101_9*c_0110_5 - 4*c_0101_9 + 5*c_0110_5 - 12, c_0110_5^2 - c_0110_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.340 Total time: 0.560 seconds, Total memory usage: 32.09MB