Magma V2.19-8 Tue Aug 20 2013 16:14:12 on localhost [Seed = 3549581298] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s166 geometric_solution 4.25351039 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 1 0132 3201 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.569149208137 1.310288182697 0 2 3 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.042226900881 0.174184514175 3 1 4 5 2310 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.260260068666 1.467824299296 5 4 2 1 3012 3120 3201 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 0 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 1.260260068666 1.467824299296 5 3 5 2 1230 3120 2103 0132 0 0 0 0 0 1 -1 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 -1 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 0.422588491235 0.445360957755 4 4 2 3 2103 3012 0132 1230 0 0 0 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 0 0 0 0 0 0 -1 1 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 0 0 0 1.085869371743 0.837537555202 ==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_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_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_0011_4']), 'c_1001_4' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0011_5'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0101_0']})} 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_0011_4, c_0011_5, c_0101_0, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 26013/1727*c_0101_3^7 - 113543/1727*c_0101_3^6 - 18036/157*c_0101_3^5 - 24864/1727*c_0101_3^4 - 199937/1727*c_0101_3^3 + 107059/1727*c_0101_3^2 - 91998/1727*c_0101_3 + 70288/1727, c_0011_0 - 1, c_0011_3 + 21/157*c_0101_3^7 + 76/157*c_0101_3^6 + 112/157*c_0101_3^5 + 20/157*c_0101_3^4 + 416/157*c_0101_3^3 + 16/157*c_0101_3^2 + 226/157*c_0101_3 - 43/157, c_0011_4 + 22/157*c_0101_3^7 + 117/157*c_0101_3^6 + 222/157*c_0101_3^5 + 6/157*c_0101_3^4 - 95/157*c_0101_3^3 + 99/157*c_0101_3^2 + 5/157*c_0101_3 + 97/157, c_0011_5 - c_0101_3, c_0101_0 - 124/157*c_0101_3^7 - 531/157*c_0101_3^6 - 923/157*c_0101_3^5 - 148/157*c_0101_3^4 - 1163/157*c_0101_3^3 + 541/157*c_0101_3^2 - 542/157*c_0101_3 + 381/157, c_0101_3^8 + 4*c_0101_3^7 + 6*c_0101_3^6 - 2*c_0101_3^5 + 7*c_0101_3^4 - 7*c_0101_3^3 + 5*c_0101_3^2 - 4*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB