Magma V2.19-8 Tue Aug 20 2013 16:17:43 on localhost [Seed = 3953817351] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1961 geometric_solution 5.54086268 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 -1 0 1 0 0 0 0 -1 0 0 1 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.649930298889 0.466076810771 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 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 0.501500877763 1.480768397668 4 5 1 3 0132 0132 0132 3012 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 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807493169252 0.787807103171 5 4 2 1 3201 3201 1230 0132 0 0 0 0 0 0 1 -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 -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 0.807493169252 0.787807103171 2 6 3 6 0132 0132 2310 1023 0 0 0 0 0 -1 1 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 1 0 -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 0.843524976176 1.016262016898 5 2 5 3 2031 0132 1302 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 0.583785916042 0.385667133747 6 4 6 4 2031 0132 1302 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 -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 0.496042393317 0.185061604431 ==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' : negation(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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_2']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0101_4'], 'c_1100_2' : d['c_0101_4'], 'c_0101_6' : negation(d['c_0011_2']), 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : d['c_0011_2'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} 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_0101_0, c_0101_1, c_0101_3, c_0101_4, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 371409/15716*c_0101_1*c_0110_6^8 - 153253/7858*c_0101_1*c_0110_6^7 + 8559709/15716*c_0101_1*c_0110_6^6 + 14805989/15716*c_0101_1*c_0110_6^5 - 15117911/15716*c_0101_1*c_0110_6^4 - 5821023/7858*c_0101_1*c_0110_6^3 + 1076923/7858*c_0101_1*c_0110_6^2 + 1819523/7858*c_0101_1*c_0110_6 + 1093537/15716*c_0101_1, c_0011_0 - 1, c_0011_2 + 1528/3929*c_0101_1*c_0110_6^8 + 385/3929*c_0101_1*c_0110_6^7 - 35270/3929*c_0101_1*c_0110_6^6 - 41759/3929*c_0101_1*c_0110_6^5 + 85605/3929*c_0101_1*c_0110_6^4 + 10542/3929*c_0101_1*c_0110_6^3 - 28207/3929*c_0101_1*c_0110_6^2 - 10859/3929*c_0101_1*c_0110_6 + 5542/3929*c_0101_1, c_0101_0 + 1370/3929*c_0101_1*c_0110_6^8 + 1636/3929*c_0101_1*c_0110_6^7 - 30831/3929*c_0101_1*c_0110_6^6 - 64620/3929*c_0101_1*c_0110_6^5 + 26535/3929*c_0101_1*c_0110_6^4 + 27009/3929*c_0101_1*c_0110_6^3 + 5540/3929*c_0101_1*c_0110_6^2 - 5874/3929*c_0101_1*c_0110_6 + 3313/3929*c_0101_1, c_0101_1^2 + 473/3929*c_0110_6^8 + 1104/3929*c_0110_6^7 - 11026/3929*c_0110_6^6 - 32348/3929*c_0110_6^5 - 317/3929*c_0110_6^4 + 16228/3929*c_0110_6^3 + 9656/3929*c_0110_6^2 - 227/3929*c_0110_6 - 2702/3929, c_0101_3 + 1616/3929*c_0110_6^8 + 1230/3929*c_0110_6^7 - 36499/3929*c_0110_6^6 - 62945/3929*c_0110_6^5 + 54845/3929*c_0110_6^4 + 38323/3929*c_0110_6^3 - 4/3929*c_0110_6^2 - 14282/3929*c_0110_6 - 1174/3929, c_0101_4 - 1370/3929*c_0110_6^8 - 1636/3929*c_0110_6^7 + 30831/3929*c_0110_6^6 + 64620/3929*c_0110_6^5 - 26535/3929*c_0110_6^4 - 27009/3929*c_0110_6^3 - 5540/3929*c_0110_6^2 + 5874/3929*c_0110_6 + 616/3929, c_0110_6^9 + c_0110_6^8 - 23*c_0110_6^7 - 44*c_0110_6^6 + 36*c_0110_6^5 + 43*c_0110_6^4 - 4*c_0110_6^3 - 16*c_0110_6^2 - 3*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB