Magma V2.19-8 Tue Aug 20 2013 16:18:01 on localhost [Seed = 475889874] 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' : 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' : 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 + 32884/491*c_0101_2*c_0101_3^6 - 64836/491*c_0101_2*c_0101_3^5 - 42192/491*c_0101_2*c_0101_3^4 + 87956/491*c_0101_2*c_0101_3^3 - 122095/982*c_0101_2*c_0101_3^2 - 27495/491*c_0101_2*c_0101_3 + 33807/491*c_0101_2, c_0011_0 - 1, c_0011_2 - 272/491*c_0101_3^6 - 200/491*c_0101_3^5 + 1920/491*c_0101_3^4 - 260/491*c_0101_3^3 - 626/491*c_0101_3^2 + 1154/491*c_0101_3 - 109/491, c_0011_4 - 1752/491*c_0101_2*c_0101_3^6 + 5528/491*c_0101_2*c_0101_3^5 - 3576/491*c_0101_2*c_0101_3^4 - 1848/491*c_0101_2*c_0101_3^3 + 4517/491*c_0101_2*c_0101_3^2 - 2358/491*c_0101_2*c_0101_3 - 110/491*c_0101_2, c_0011_6 + 808/491*c_0101_3^6 - 1832/491*c_0101_3^5 + 304/491*c_0101_3^4 + 368/491*c_0101_3^3 - 1433/491*c_0101_3^2 + 240/491*c_0101_3 - 95/491, c_0101_0 + 1268/491*c_0101_2*c_0101_3^6 - 3400/491*c_0101_2*c_0101_3^5 + 1216/491*c_0101_2*c_0101_3^4 + 1472/491*c_0101_2*c_0101_3^3 - 6063/982*c_0101_2*c_0101_3^2 + 1429/982*c_0101_2*c_0101_3 + 713/982*c_0101_2, c_0101_2^2 - 256/491*c_0101_3^6 + 736/491*c_0101_3^5 - 388/491*c_0101_3^4 - 418/491*c_0101_3^3 + 1086/491*c_0101_3^2 - 358/491*c_0101_3 - 738/491, c_0101_3^7 - 2*c_0101_3^6 - c_0101_3^5 + 2*c_0101_3^4 - 11/8*c_0101_3^3 - 7/8*c_0101_3^2 + 3/4*c_0101_3 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.000 Total time: 0.200 seconds, Total memory usage: 32.09MB