Magma V2.19-8 Tue Aug 20 2013 23:38:58 on localhost [Seed = 711741003] Type ? for help. Type -D to quit. Loading file "K12n457__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n457 geometric_solution 9.90530132 oriented_manifold CS_known 0.0000000000000001 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 -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 -1 0 1 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.286207024643 1.732142286294 0 4 6 5 0132 1023 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 4 -3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471376593108 0.677947064998 7 0 3 8 0132 0132 1023 0132 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 1 0 -1 0 0 0 0 -1 0 0 1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033390404201 0.930285733228 5 9 2 0 0132 0132 1023 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 0 0 0 0 0 0 0 0 3 1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263476623820 0.658399115471 1 9 0 8 1023 0321 0132 1023 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 -1 1 -1 0 0 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.129655427678 0.462296173983 3 10 1 9 0132 0132 0132 3012 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 0 0 0 0 0 0 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 1.385879014393 0.730463785154 10 7 8 1 3012 0213 3012 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.424545787142 1.189296490843 2 9 6 10 0132 3012 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 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 1.117138047179 0.748661502451 10 6 2 4 0132 1230 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.350598333085 1.419708721205 7 3 5 4 1230 0132 1230 0321 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 -3 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.578993056565 0.949218603158 8 5 7 6 0132 0132 0132 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 -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 0.754582909666 0.558900771078 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_3'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_0101_3'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : d['c_0101_6'], '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_0101_3'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1100_10' : d['c_0101_1'], 'c_1010_7' : negation(d['c_0101_9']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : negation(d['c_0101_9']), 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : d['c_0101_3'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_6'], 'c_1100_8' : negation(d['c_1100_0']), '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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0011_6'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_6'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_0'], 'c_0110_8' : d['c_0101_10'], '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_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_1']})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_0101_6, c_0101_9, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 404/5251*c_1100_0^5 - 84192/288805*c_1100_0^4 - 66013/577610*c_1100_0^3 + 662059/577610*c_1100_0^2 + 212006/288805*c_1100_0 - 1755129/577610, c_0011_0 - 1, c_0011_10 - 14/55*c_1100_0^5 + 13/11*c_1100_0^4 + 2/55*c_1100_0^3 - 53/11*c_1100_0^2 - 59/55*c_1100_0 + 646/55, c_0011_6 + 12/55*c_1100_0^5 - 8/11*c_1100_0^4 - 41/55*c_1100_0^3 + 36/11*c_1100_0^2 + 137/55*c_1100_0 - 428/55, c_0101_0 - 41/55*c_1100_0^5 + 31/11*c_1100_0^4 + 53/55*c_1100_0^3 - 112/11*c_1100_0^2 - 381/55*c_1100_0 + 1444/55, c_0101_1 - 18/55*c_1100_0^5 + 12/11*c_1100_0^4 + 34/55*c_1100_0^3 - 43/11*c_1100_0^2 - 178/55*c_1100_0 + 532/55, c_0101_10 - 4/5*c_1100_0^5 + 3*c_1100_0^4 + 7/5*c_1100_0^3 - 12*c_1100_0^2 - 39/5*c_1100_0 + 156/5, c_0101_3 + 76/55*c_1100_0^5 - 58/11*c_1100_0^4 - 113/55*c_1100_0^3 + 228/11*c_1100_0^2 + 721/55*c_1100_0 - 3004/55, c_0101_6 - 23/55*c_1100_0^5 + 19/11*c_1100_0^4 + 19/55*c_1100_0^3 - 69/11*c_1100_0^2 - 203/55*c_1100_0 + 912/55, c_0101_9 - 28/55*c_1100_0^5 + 26/11*c_1100_0^4 + 4/55*c_1100_0^3 - 106/11*c_1100_0^2 - 173/55*c_1100_0 + 1457/55, c_1001_0 + 32/55*c_1100_0^5 - 25/11*c_1100_0^4 - 36/55*c_1100_0^3 + 96/11*c_1100_0^2 + 292/55*c_1100_0 - 1288/55, c_1100_0^6 - 6*c_1100_0^5 + 7*c_1100_0^4 + 18*c_1100_0^3 - 24*c_1100_0^2 - 60*c_1100_0 + 89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB