Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 256807873] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2252 geometric_solution 5.68237592 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 0 2 0 0132 2310 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 1 -1 0 1 0 0 -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 0.799524951509 1.396078928508 0 3 4 3 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.371967239490 0.460236417481 3 4 4 0 3012 2031 3012 0132 0 0 0 0 0 0 1 -1 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 -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 0.380788020151 0.978938429520 5 1 1 2 0132 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925403538605 0.753151120915 2 2 5 1 1302 1230 3012 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 0 0 1 -1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.866444385383 1.225511877021 3 4 6 6 0132 1230 2310 0132 0 0 0 0 0 0 0 0 1 0 0 -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 -1 1 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 0.396746726237 0.665764703417 6 5 5 6 3201 3201 0132 2310 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 0 0 0 -1 0 0 1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.987629329018 0.561144710638 ==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_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' : negation(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_6' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0101_3'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_3'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_0'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : negation(d['c_0101_0']), 'c_1001_2' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_4'])})} 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 633412/12607*c_0101_2*c_0101_3^6 + 1321084/12607*c_0101_2*c_0101_3^5 - 714152/12607*c_0101_2*c_0101_3^4 - 1343140/12607*c_0101_2*c_0101_3^3 + 5045771/25214*c_0101_2*c_0101_3^2 - 123757/12607*c_0101_2*c_0101_3 + 333735/12607*c_0101_2, c_0011_0 - 1, c_0011_2 - 1424/1801*c_0101_3^6 + 4376/1801*c_0101_3^5 - 4096/1801*c_0101_3^4 - 1124/1801*c_0101_3^3 + 6862/1801*c_0101_3^2 - 3458/1801*c_0101_3 - 183/1801, c_0011_4 + 1560/1801*c_0101_2*c_0101_3^6 - 3256/1801*c_0101_2*c_0101_3^5 + 440/1801*c_0101_2*c_0101_3^4 + 6776/1801*c_0101_2*c_0101_3^3 - 10917/1801*c_0101_2*c_0101_3^2 + 3080/1801*c_0101_2*c_0101_3 - 12/1801*c_0101_2, c_0011_6 + 2424/1801*c_0101_3^6 - 4616/1801*c_0101_3^5 + 1792/1801*c_0101_3^4 + 4544/1801*c_0101_3^3 - 6379/1801*c_0101_3^2 - 1864/1801*c_0101_3 - 933/1801, c_0101_0 + 1692/1801*c_0101_2*c_0101_3^6 - 3864/1801*c_0101_2*c_0101_3^5 + 3248/1801*c_0101_2*c_0101_3^4 + 1032/1801*c_0101_2*c_0101_3^3 - 8941/3602*c_0101_2*c_0101_3^2 - 3155/3602*c_0101_2*c_0101_3 + 445/3602*c_0101_2, c_0101_2^2 - 1760/1801*c_0101_3^6 + 3304/1801*c_0101_3^5 - 1420/1801*c_0101_3^4 - 3858/1801*c_0101_3^3 + 6498/1801*c_0101_3^2 + 866/1801*c_0101_3 - 1926/1801, c_0101_3^7 - 2*c_0101_3^6 + c_0101_3^5 + 2*c_0101_3^4 - 27/8*c_0101_3^3 - 5/8*c_0101_3^2 - 1/4*c_0101_3 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB