Magma V2.19-8 Tue Aug 20 2013 23:29:44 on localhost [Seed = 2665019587] Type ? for help. Type -D to quit. Loading file "K13n2565__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2565 geometric_solution 8.02605900 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 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 0 -1 1 0 0 0 0 0 0 0 0 -12 13 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.333377969130 1.186887188861 0 5 4 6 0132 0132 2031 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 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.683078411643 1.183487890293 5 0 5 6 0213 0132 0321 1230 0 0 0 0 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 -12 0 12 0 0 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322070903763 0.317137435957 7 8 4 0 0132 0132 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 -1 0 1 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 0.240036962604 0.809718024859 3 8 0 1 2031 2031 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420320747179 0.365063553405 2 1 2 8 0213 0132 0321 2103 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 12 0 0 -12 0 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480023416540 0.953549079246 2 7 1 7 3012 2310 0132 3201 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 13 0 -13 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210233218724 0.566151035598 3 6 8 6 0132 2310 1023 3201 0 0 0 0 0 -1 0 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 13 0 -13 0 0 13 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.210233218724 0.566151035598 4 3 7 5 1302 0132 1023 2103 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 1 -13 12 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 0.932433989478 1.333977635319 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0110_6'], 'c_1001_4' : negation(d['c_0110_8']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0110_4']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : negation(d['c_0110_8']), 'c_1001_8' : d['c_0101_0'], 's_2_8' : d['1'], '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_0_8' : 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_8' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0110_8']), 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : negation(d['c_0011_6']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0110_6'], 'c_1010_7' : negation(d['c_0110_6']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0110_4']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0110_6'], 'c_1010_0' : negation(d['c_0110_8']), 'c_1010_8' : d['c_0110_4'], '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_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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_3']), '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_6'], '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_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0110_8'], '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' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : negation(d['c_0011_4']), 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0110_4, c_0110_6, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 5*c_0110_6*c_0110_8^4 - 8*c_0110_6*c_0110_8^3 + 5*c_0110_6*c_0110_8^2 - 10*c_0110_6*c_0110_8 + 8*c_0110_6 + 5*c_0110_8^4 - 5*c_0110_8 - 8, c_0011_0 - 1, c_0011_3 - c_0110_6*c_0110_8, c_0011_4 + c_0110_6, c_0011_6 + c_0110_6*c_0110_8^4 - c_0110_6*c_0110_8^3 + c_0110_6*c_0110_8^2 - 2*c_0110_6*c_0110_8 + c_0110_6 - c_0110_8^4 + c_0110_8, c_0101_0 + c_0110_8^4 - c_0110_8^3 + c_0110_8^2 - c_0110_8 + 1, c_0101_1 + c_0110_8^3 + c_0110_8 - 1, c_0110_4 + c_0110_6*c_0110_8^4 - c_0110_6*c_0110_8 - c_0110_6, c_0110_6^2 - c_0110_6*c_0110_8 - c_0110_8^2, c_0110_8^5 - c_0110_8^4 + c_0110_8^3 - 2*c_0110_8^2 + c_0110_8 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB