Magma V2.19-8 Tue Aug 20 2013 16:15:52 on localhost [Seed = 3120047516] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0085 geometric_solution 3.62786143 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 2 0132 0132 0132 1023 0 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 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.237718408889 0.966055942799 0 4 3 4 0132 0132 3012 1023 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 -1 0 1 0 0 -1 1 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.972604572645 1.976992172568 5 0 5 0 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0.710770929271 0.125216212618 4 1 4 0 2310 1230 3201 0132 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 1 -2 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 1.972604572645 1.976992172568 3 1 3 1 2310 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 -1 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.007007849958 0.505721788295 2 6 2 6 0132 0132 1023 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.850364513287 0.040309825790 5 5 6 6 3201 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677576214140 0.034378302799 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(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' : 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_0110_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_2']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_0']), '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' : d['c_0101_2'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_5'], 'c_0110_1' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_5']})} 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_0101_1, c_0101_2, c_0101_3, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 2532/17*c_0101_3*c_0110_6^9 + 10449/34*c_0101_3*c_0110_6^8 - 23311/68*c_0101_3*c_0110_6^7 - 64665/34*c_0101_3*c_0110_6^6 + 52353/68*c_0101_3*c_0110_6^5 + 198507/68*c_0101_3*c_0110_6^4 - 84345/68*c_0101_3*c_0110_6^3 - 2269/2*c_0101_3*c_0110_6^2 + 52439/68*c_0101_3*c_0110_6 - 4187/34*c_0101_3, c_0011_0 - 1, c_0011_3 + 86*c_0110_6^9 + 157*c_0110_6^8 - 251*c_0110_6^7 - 1073*c_0110_6^6 + 728*c_0110_6^5 + 1713*c_0110_6^4 - 1167*c_0110_6^3 - 657*c_0110_6^2 + 651*c_0110_6 - 126, c_0101_1 + 59*c_0101_3*c_0110_6^9 + 211/2*c_0101_3*c_0110_6^8 - 178*c_0101_3*c_0110_6^7 - 1467/2*c_0101_3*c_0110_6^6 + 1061/2*c_0101_3*c_0110_6^5 + 2359/2*c_0101_3*c_0110_6^4 - 850*c_0101_3*c_0110_6^3 - 907/2*c_0101_3*c_0110_6^2 + 469*c_0101_3*c_0110_6 - 92*c_0101_3, c_0101_2 + 49*c_0101_3*c_0110_6^9 + 191/2*c_0101_3*c_0110_6^8 - 255/2*c_0101_3*c_0110_6^7 - 618*c_0101_3*c_0110_6^6 + 334*c_0101_3*c_0110_6^5 + 1939/2*c_0101_3*c_0110_6^4 - 544*c_0101_3*c_0110_6^3 - 374*c_0101_3*c_0110_6^2 + 639/2*c_0101_3*c_0110_6 - 117/2*c_0101_3, c_0101_3^2 - 88*c_0110_6^9 - 160*c_0110_6^8 + 258*c_0110_6^7 + 1096*c_0110_6^6 - 753*c_0110_6^5 - 1747*c_0110_6^4 + 1207*c_0110_6^3 + 664*c_0110_6^2 - 672*c_0110_6 + 133, c_0101_5 + 2*c_0110_6^9 + 3*c_0110_6^8 - 7*c_0110_6^7 - 23*c_0110_6^6 + 25*c_0110_6^5 + 34*c_0110_6^4 - 40*c_0110_6^3 - 6*c_0110_6^2 + 21*c_0110_6 - 7, c_0110_6^10 + 3/2*c_0110_6^9 - 7/2*c_0110_6^8 - 23/2*c_0110_6^7 + 25/2*c_0110_6^6 + 17*c_0110_6^5 - 20*c_0110_6^4 - 3*c_0110_6^3 + 10*c_0110_6^2 - 4*c_0110_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB