Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 3221103488] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s042 geometric_solution 3.58738679 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3.582754286842 1.597577175337 0 0 3 3 0132 3201 3201 0132 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.358559973681 0.240177785042 0 0 2 2 3201 0132 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145944283429 0.037062825127 1 4 1 5 2310 0132 0132 0132 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995180906208 0.518974544036 5 3 5 5 3012 0132 2310 1230 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 0 -1 1 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 0.986074227621 0.976960251354 4 4 3 4 3012 3201 0132 1230 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 -1 0 0 1 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.986074227621 0.976960251354 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : 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_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_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_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : d['c_0110_2'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), '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_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0101_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0110_2']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0101_4'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0110_2'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0110_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 118563/5*c_0110_2^12 - 166604/5*c_0110_2^11 + 484458*c_0110_2^10 + 1692853/5*c_0110_2^9 - 1570016*c_0110_2^8 - 2706493/5*c_0110_2^7 + 12655352/5*c_0110_2^6 + 267001/5*c_0110_2^5 - 2088486*c_0110_2^4 + 576383*c_0110_2^3 + 3182781/5*c_0110_2^2 - 1911139/5*c_0110_2 + 292559/5, c_0011_0 - 1, c_0011_3 + 7*c_0110_2^12 + 8*c_0110_2^11 - 146*c_0110_2^10 - 63*c_0110_2^9 + 498*c_0110_2^8 + 44*c_0110_2^7 - 816*c_0110_2^6 + 171*c_0110_2^5 + 664*c_0110_2^4 - 331*c_0110_2^3 - 179*c_0110_2^2 + 171*c_0110_2 - 35, c_0101_0 + c_0110_2^12 + c_0110_2^11 - 21*c_0110_2^10 - 6*c_0110_2^9 + 72*c_0110_2^8 - 4*c_0110_2^7 - 116*c_0110_2^6 + 41*c_0110_2^5 + 89*c_0110_2^4 - 60*c_0110_2^3 - 17*c_0110_2^2 + 28*c_0110_2 - 8, c_0101_1 + 1045*c_0110_2^12 + 1458*c_0110_2^11 - 21370*c_0110_2^10 - 14718*c_0110_2^9 + 69447*c_0110_2^8 + 23294*c_0110_2^7 - 112078*c_0110_2^6 - 1504*c_0110_2^5 + 92506*c_0110_2^4 - 26096*c_0110_2^3 - 28154*c_0110_2^2 + 17081*c_0110_2 - 2630, c_0101_4 + 27*c_0110_2^12 + 33*c_0110_2^11 - 560*c_0110_2^10 - 287*c_0110_2^9 + 1887*c_0110_2^8 + 318*c_0110_2^7 - 3084*c_0110_2^6 + 407*c_0110_2^5 + 2533*c_0110_2^4 - 1045*c_0110_2^3 - 730*c_0110_2^2 + 567*c_0110_2 - 101, c_0110_2^13 + c_0110_2^12 - 21*c_0110_2^11 - 6*c_0110_2^10 + 72*c_0110_2^9 - 4*c_0110_2^8 - 116*c_0110_2^7 + 41*c_0110_2^6 + 89*c_0110_2^5 - 60*c_0110_2^4 - 17*c_0110_2^3 + 27*c_0110_2^2 - 9*c_0110_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB