Magma V2.19-8 Tue Aug 20 2013 16:16:24 on localhost [Seed = 997894103] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0686 geometric_solution 4.65196751 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 1 0 3201 0132 1023 2310 0 0 0 0 0 -1 0 1 0 0 0 0 -1 1 0 0 0 1 -1 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 1.875965863388 0.301083777126 2 0 0 3 0132 0132 1023 0132 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 1 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 0 0 -0.557134725353 0.835315033064 1 3 4 5 0132 2310 0132 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 -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 0.356293242200 0.384488810613 5 4 1 2 3120 3012 0132 3201 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 1 -1 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 0.356293242200 0.384488810613 3 6 6 2 1230 0132 1023 0132 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 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 1.154158653772 0.865550104313 6 6 2 3 0213 1302 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.445451741800 0.415878095410 5 4 4 5 0213 0132 1023 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.445451741800 0.415878095410 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : 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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), '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' : d['c_0011_0'], 'c_1001_5' : negation(d['c_0110_3']), 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0101_0']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0110_3'], 'c_0110_4' : d['c_0011_3'], 'c_0110_6' : negation(d['c_0110_3']), 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_0, c_0101_4, c_0110_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 76529/604*c_0110_3^7 + 437849/604*c_0110_3^6 - 819151/302*c_0110_3^5 + 1149677/302*c_0110_3^4 - 1135299/302*c_0110_3^3 + 1744673/604*c_0110_3^2 - 1203535/604*c_0110_3 + 280963/604, c_0011_0 - 1, c_0011_3 + 290/151*c_0101_0*c_0110_3^7 - 1596/151*c_0101_0*c_0110_3^6 + 5890/151*c_0101_0*c_0110_3^5 - 7583/151*c_0101_0*c_0110_3^4 + 7490/151*c_0101_0*c_0110_3^3 - 5552/151*c_0101_0*c_0110_3^2 + 3846/151*c_0101_0*c_0110_3 - 756/151*c_0101_0, c_0011_4 - 466/151*c_0101_0*c_0110_3^7 + 2650/151*c_0101_0*c_0110_3^6 - 9902/151*c_0101_0*c_0110_3^5 + 13743/151*c_0101_0*c_0110_3^4 - 13655/151*c_0101_0*c_0110_3^3 + 10394/151*c_0101_0*c_0110_3^2 - 7234/151*c_0101_0*c_0110_3 + 1446/151*c_0101_0, c_0011_5 - 380/151*c_0101_0*c_0110_3^7 + 2159/151*c_0101_0*c_0110_3^6 - 8072/151*c_0101_0*c_0110_3^5 + 11186/151*c_0101_0*c_0110_3^4 - 11111/151*c_0101_0*c_0110_3^3 + 8155/151*c_0101_0*c_0110_3^2 - 5654/151*c_0101_0*c_0110_3 + 1126/151*c_0101_0, c_0101_0^2 + 320/151*c_0110_3^7 - 1834/151*c_0110_3^6 + 6869/151*c_0110_3^5 - 9690/151*c_0110_3^4 + 9603/151*c_0110_3^3 - 7376/151*c_0110_3^2 + 5103/151*c_0110_3 - 1282/151, c_0101_4 + c_0110_3, c_0110_3^8 - 6*c_0110_3^7 + 23*c_0110_3^6 - 36*c_0110_3^5 + 38*c_0110_3^4 - 31*c_0110_3^3 + 22*c_0110_3^2 - 8*c_0110_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB