Magma V2.19-8 Wed Aug 21 2013 01:03:00 on localhost [Seed = 1343637573] Type ? for help. Type -D to quit. Loading file "L14n17159__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n17159 geometric_solution 12.57312399 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 1 0 1 0 -1 0 0 0 0 -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 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 0.854096255482 1.171404489809 0 5 7 6 0132 0132 0132 0132 0 1 1 1 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 -1 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 0.537941101263 0.925553813048 8 0 10 9 0132 0132 0132 0132 1 0 1 1 0 -1 1 0 -1 0 0 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 -1 1 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 0.537941101263 0.925553813048 11 12 6 0 0132 0132 3201 0132 1 1 1 1 0 1 -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 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 -0.045121240198 0.950750503396 5 12 0 11 0132 2031 0132 2031 1 1 1 1 0 -1 1 0 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 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 0.774244609645 0.754059609177 4 1 8 9 0132 0132 1230 1230 0 1 1 1 0 0 1 -1 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 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 0.530604895509 0.807617093707 3 10 1 9 2310 1023 0132 1023 0 1 1 1 0 0 0 0 0 0 0 0 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 -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 0.431913605928 0.758183020178 9 8 10 1 1230 1230 1023 0132 0 1 1 1 0 0 0 0 1 0 -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 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 0.537941101263 0.925553813048 2 12 7 5 0132 0213 3012 3012 1 0 1 1 0 0 0 0 1 0 0 -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 -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 0.530604895509 0.807617093707 5 7 2 6 3012 3012 0132 1023 1 0 1 1 0 0 0 0 1 0 -1 0 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 0 0 1 -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 0.537941101263 0.925553813048 6 11 7 2 1023 1302 1023 0132 1 0 1 1 0 0 1 -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 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 0.431913605928 0.758183020178 3 4 12 10 0132 1302 1230 2031 1 1 1 1 0 0 0 0 -1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.247223017903 0.850076689713 4 3 8 11 1302 0132 0213 3012 1 1 1 1 0 -1 0 1 1 0 -1 0 1 0 0 -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 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 -0.469395104491 0.807617093707 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : negation(d['c_0110_12']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : negation(d['c_0011_7']), 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0110_12']), 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_12' : negation(d['c_0101_0']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_0110_12']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_0'], '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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0110_12'], 'c_1100_10' : negation(d['c_1100_1']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : negation(d['c_0011_7']), 'c_1010_2' : negation(d['c_0011_7']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : negation(d['c_0110_12']), 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : negation(d['c_0101_5']), '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' : negation(d['c_0101_5']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : d['c_0011_0'], 'c_0110_0' : d['c_0011_9'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_9'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_9'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1100_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0011_9'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0011_9'], 'c_0110_6' : negation(d['c_0101_3'])})} 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_7, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_0110_12, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/20*c_0110_12 + 1/10, c_0011_0 - 1, c_0011_10 - 2*c_0110_12 + 1, c_0011_11 - 1, c_0011_7 - c_0110_12 + 1, c_0011_9 - c_0110_12 + 1, c_0101_0 - c_0110_12, c_0101_10 + c_0110_12, c_0101_2 + c_0110_12, c_0101_3 - 2, c_0101_5 - 1, c_0101_8 - 1, c_0110_12^2 + 1, c_1100_1 + 1 ], 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_7, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_0110_12, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3014733/22350886*c_0110_12*c_1100_1^2 - 2254566/11175443*c_0110_12*c_1100_1 + 964792/11175443*c_0110_12 + 424061/1972137*c_1100_1^2 + 1317827/3944274*c_1100_1 - 280000/1972137, c_0011_0 - 1, c_0011_10 + 3*c_1100_1^2 + c_1100_1 - 10, c_0011_11 - c_0110_12*c_1100_1^2 - c_0110_12*c_1100_1 + 3*c_0110_12 - 6*c_1100_1^2 - 2*c_1100_1 + 17, c_0011_7 + c_0110_12*c_1100_1^2 - 3*c_0110_12 + 6*c_1100_1^2 + 2*c_1100_1 - 17, c_0011_9 - c_0110_12*c_1100_1^2 + 3*c_0110_12 - 5*c_1100_1^2 - 2*c_1100_1 + 14, c_0101_0 + c_0110_12 - 4*c_1100_1^2 - 2*c_1100_1 + 11, c_0101_10 + c_0110_12 - 2*c_1100_1^2 - 2*c_1100_1 + 6, c_0101_2 - c_0110_12 + 2*c_1100_1^2 - 5, c_0101_3 - 2*c_1100_1^2 + 5, c_0101_5 - 2*c_1100_1^2 - c_1100_1 + 6, c_0101_8 - 1, c_0110_12^2 - 4*c_0110_12*c_1100_1^2 - 2*c_0110_12*c_1100_1 + 11*c_0110_12 - 9*c_1100_1^2 - 3*c_1100_1 + 28, c_1100_1^3 - 3*c_1100_1 + 1 ], 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_7, c_0011_9, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_5, c_0101_8, c_0110_12, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 1281341/540672*c_1100_1^5 + 16460987/21626880*c_1100_1^4 + 1817327/1081344*c_1100_1^3 - 47701471/21626880*c_1100_1^2 - 40741477/21626880*c_1100_1 + 87133597/21626880, c_0011_0 - 1, c_0011_10 - 112/55*c_1100_1^5 + 802/165*c_1100_1^4 - 38/5*c_1100_1^3 + 504/55*c_1100_1^2 - 139/15*c_1100_1 + 36/11, c_0011_11 - 56/165*c_1100_1^5 + 163/165*c_1100_1^4 - 6/5*c_1100_1^3 + 373/165*c_1100_1^2 - 37/15*c_1100_1 + 74/55, c_0011_7 + 56/165*c_1100_1^5 - 251/165*c_1100_1^4 + 13/5*c_1100_1^3 - 101/33*c_1100_1^2 + 53/15*c_1100_1 - 118/55, c_0011_9 + 56/165*c_1100_1^5 - 251/165*c_1100_1^4 + 13/5*c_1100_1^3 - 101/33*c_1100_1^2 + 53/15*c_1100_1 - 118/55, c_0101_0 + 48/55*c_1100_1^5 - 102/55*c_1100_1^4 + 41/15*c_1100_1^3 - 183/55*c_1100_1^2 + 13/5*c_1100_1 - 68/165, c_0101_10 + 16/15*c_1100_1^5 - 34/15*c_1100_1^4 + 59/15*c_1100_1^3 - 71/15*c_1100_1^2 + 71/15*c_1100_1 - 22/15, c_0101_2 + 16/15*c_1100_1^5 - 34/15*c_1100_1^4 + 59/15*c_1100_1^3 - 71/15*c_1100_1^2 + 71/15*c_1100_1 - 22/15, c_0101_3 + 8/33*c_1100_1^5 - 43/55*c_1100_1^4 + 5/3*c_1100_1^3 - 323/165*c_1100_1^2 + 13/5*c_1100_1 - 124/165, c_0101_5 + 64/33*c_1100_1^5 - 136/33*c_1100_1^4 + 20/3*c_1100_1^3 - 266/33*c_1100_1^2 + 25/3*c_1100_1 - 62/33, c_0101_8 - 1, c_0110_12 + 48/55*c_1100_1^5 - 102/55*c_1100_1^4 + 41/15*c_1100_1^3 - 183/55*c_1100_1^2 + 13/5*c_1100_1 - 68/165, c_1100_1^6 - 21/8*c_1100_1^5 + 9/2*c_1100_1^4 - 47/8*c_1100_1^3 + 51/8*c_1100_1^2 - 27/8*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.320 Total time: 0.530 seconds, Total memory usage: 32.09MB