Magma V2.19-8 Tue Aug 20 2013 23:45:45 on localhost [Seed = 1377056697] Type ? for help. Type -D to quit. Loading file "K13n611__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n611 geometric_solution 10.88788905 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 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 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 0.669809899260 0.561269409095 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.550348437737 0.755772453885 8 0 10 9 0132 0132 0132 0132 0 0 0 0 0 0 0 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 0 0 0 -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 0.423523218017 0.877572653746 10 5 9 0 2031 1023 2031 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 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 1.122905073270 0.734964579935 10 8 0 11 0213 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 -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 0.799496775436 0.914281245936 3 1 8 9 1023 0132 1023 2031 0 0 0 0 0 0 0 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 0.669809899260 0.561269409095 7 9 1 11 1302 1023 0132 3201 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.200306874189 1.029143366530 10 6 11 1 1230 2031 3201 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.200306874189 1.029143366530 2 4 5 11 0132 0132 1023 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 1 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 0 0 0 0 0.799496775436 0.914281245936 6 5 2 3 1023 1302 0132 1302 0 0 0 0 0 0 0 0 0 0 1 -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 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 -0.037007535918 1.043331337582 4 7 3 2 0213 3012 1302 0132 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 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 -0.180152169701 0.710007571394 7 6 4 8 2310 2310 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 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 -0.235953527357 0.943986422744 ==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' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_0']), '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_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' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1010_9']), 'c_1100_4' : negation(d['c_1010_9']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : negation(d['c_1010_9']), 'c_1100_3' : negation(d['c_1010_9']), 'c_1100_2' : d['c_0101_3'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_3'], 'c_1100_11' : negation(d['c_1010_9']), 'c_1100_10' : d['c_0101_3'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : d['c_1010_9'], 'c_1010_8' : negation(d['c_0101_7']), 'c_1100_8' : d['c_1010_9'], '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_6'], '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_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_7']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : negation(d['c_0011_7']), 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_5']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : negation(d['c_0011_7']), 'c_0110_0' : d['c_0011_10'], 'c_0110_3' : negation(d['c_0011_7']), 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_7, c_0101_11, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_0110_5, c_1010_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 3328/10625*c_0110_5*c_1010_9 - 4512/10625*c_0110_5 + 12352/10625*c_1010_9 - 10208/10625, c_0011_0 - 1, c_0011_10 - 2/5*c_0110_5*c_1010_9 - 1/5*c_0110_5 - c_1010_9, c_0011_11 + 3*c_1010_9 - 1, c_0011_6 - 2/5*c_0110_5*c_1010_9 + 4/5*c_0110_5 + c_1010_9 - 1, c_0011_7 + 2/5*c_0110_5*c_1010_9 - 4/5*c_0110_5 + c_1010_9 - 1, c_0101_11 - c_1010_9, c_0101_3 - 2*c_0110_5*c_1010_9 + c_0110_5 - c_1010_9, c_0101_5 + 2*c_0110_5*c_1010_9 - c_0110_5, c_0101_7 - 2*c_0110_5*c_1010_9 + c_0110_5, c_0101_8 - 2/5*c_0110_5*c_1010_9 - 1/5*c_0110_5 + c_1010_9, c_0110_5^2 - 3*c_1010_9 + 2, c_1010_9^2 - c_1010_9 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.820 Total time: 1.030 seconds, Total memory usage: 32.09MB