Magma V2.19-8 Tue Aug 20 2013 23:30:46 on localhost [Seed = 3364794045] Type ? for help. Type -D to quit. Loading file "L13n3894__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3894 geometric_solution 7.89459449 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 4 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 1 0 -1 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 8 0 -7 -1 -8 1 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576572325079 1.494180123472 0 2 6 5 0132 2031 0132 0132 1 1 1 1 0 0 0 0 -1 0 1 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 -8 0 8 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.452082250178 0.196681711537 1 0 8 7 1302 0132 0132 0132 0 1 1 1 0 1 1 -2 0 0 0 0 0 0 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 -0.033219789918 0.788893544112 5 4 8 0 0132 0132 0321 0132 0 1 1 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.348396975400 0.446993105044 5 3 0 7 3012 0132 0132 0213 0 1 1 1 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 0 0 0 -1 0 1 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.084729461202 1.391707231207 3 8 1 4 0132 2031 0132 1230 1 1 1 1 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 -1 0 1 0 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401012070560 0.874667847087 6 7 6 1 2031 3012 1302 0132 1 1 1 1 0 0 0 0 0 0 1 -1 -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 0 0 8 -8 -8 0 0 8 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915270538798 1.391707231207 6 8 2 4 1230 0132 0132 0213 0 1 1 1 0 -1 2 -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 -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 0.915270538798 1.391707231207 5 7 3 2 1302 0132 0321 0132 0 1 1 1 0 1 0 -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 -1 0 1 0 0 0 0 1 0 0 -1 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.401012070560 0.874667847087 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_0']), 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : negation(d['c_0101_7']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_8' : d['c_1001_8'], '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_1001_3'], 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : d['c_1001_8'], 'c_1100_7' : d['c_1001_3'], 'c_1100_6' : negation(d['c_0011_6']), 'c_1100_1' : negation(d['c_0011_6']), 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : d['c_1001_3'], 'c_1010_7' : d['c_1001_8'], 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0011_7']), 'c_1010_4' : d['c_1001_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_1001_0'], 'c_1010_8' : d['c_1001_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_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_7']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_7']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0011_7']), 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0011_3'], 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_7']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0011_7'])})} 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_6, c_0011_7, c_0101_0, c_0101_7, c_1001_0, c_1001_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2073/11*c_1001_8^5 + 4475/11*c_1001_8^4 + 8344/11*c_1001_8^3 + 8879/11*c_1001_8^2 + 9914/11*c_1001_8 + 710/11, c_0011_0 - 1, c_0011_3 - 1/3*c_1001_8^5 - 1/3*c_1001_8^4 - 1/3*c_1001_8^3 + 1/3, c_0011_6 - 1/3*c_1001_8^5 - 4/3*c_1001_8^4 - 7/3*c_1001_8^3 - 3*c_1001_8^2 - 3*c_1001_8 - 2/3, c_0011_7 + 4/3*c_1001_8^5 + 10/3*c_1001_8^4 + 19/3*c_1001_8^3 + 8*c_1001_8^2 + 8*c_1001_8 + 8/3, c_0101_0 - 4/3*c_1001_8^5 - 10/3*c_1001_8^4 - 19/3*c_1001_8^3 - 8*c_1001_8^2 - 9*c_1001_8 - 8/3, c_0101_7 + c_1001_8^5 + 3*c_1001_8^4 + 5*c_1001_8^3 + 6*c_1001_8^2 + 6*c_1001_8 + 1, c_1001_0 - 1, c_1001_3 + c_1001_8^5 + 3*c_1001_8^4 + 5*c_1001_8^3 + 6*c_1001_8^2 + 6*c_1001_8 + 2, c_1001_8^6 + 3*c_1001_8^5 + 6*c_1001_8^4 + 8*c_1001_8^3 + 9*c_1001_8^2 + 5*c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB