Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 4038159564] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0164 geometric_solution 3.90404982 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 2 0132 2310 0132 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 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 3.012433776746 0.650907322969 0 1 1 0 0132 3201 2310 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.566400907809 0.060494103782 0 3 3 0 3201 0132 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 1 0 -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 -0.428780938558 0.973150940355 2 2 4 5 2310 0132 0132 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 0 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 -0.144540970340 0.247851362131 5 5 6 3 1230 3012 0132 0132 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 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949870275054 1.713997865523 4 4 3 6 1230 3012 0132 0132 0 0 0 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.949870275054 1.713997865523 6 6 5 4 1230 3012 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.422452396407 0.803312935841 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_1100_3'], 'c_1100_5' : d['c_1100_3'], 'c_1100_4' : d['c_1100_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : d['c_1100_3'], 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0101_1'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_4'], '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' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0011_4']), '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_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_4'], 'c_0110_6' : d['c_0011_6'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_1100_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 329029/27775*c_1100_3^7 + 1120937/27775*c_1100_3^6 - 864906/27775*c_1100_3^5 - 4321088/27775*c_1100_3^4 + 2841296/27775*c_1100_3^3 + 11410624/27775*c_1100_3^2 + 54256/1111*c_1100_3 - 11774418/27775, c_0011_0 - 1, c_0011_2 - 39/505*c_1100_3^7 - 59/505*c_1100_3^6 + 179/505*c_1100_3^5 + 30/101*c_1100_3^4 - 536/505*c_1100_3^3 - 632/505*c_1100_3^2 + 799/505*c_1100_3 + 38/101, c_0011_4 + 652/16665*c_1100_3^7 + 864/5555*c_1100_3^6 - 1102/16665*c_1100_3^5 - 566/1111*c_1100_3^4 + 4118/16665*c_1100_3^3 + 16561/16665*c_1100_3^2 + 3398/16665*c_1100_3 - 1565/3333, c_0011_6 - 326/16665*c_1100_3^7 - 432/5555*c_1100_3^6 + 551/16665*c_1100_3^5 + 283/1111*c_1100_3^4 - 2059/16665*c_1100_3^3 - 16613/16665*c_1100_3^2 - 18364/16665*c_1100_3 + 2449/3333, c_0101_0 - 736/16665*c_1100_3^7 + 13/5555*c_1100_3^6 + 3391/16665*c_1100_3^5 - 438/1111*c_1100_3^4 - 7409/16665*c_1100_3^3 + 11057/16665*c_1100_3^2 + 10171/16665*c_1100_3 - 4654/3333, c_0101_1 + 643/16665*c_1100_3^7 - 34/5555*c_1100_3^6 - 5023/16665*c_1100_3^5 + 120/1111*c_1100_3^4 + 9122/16665*c_1100_3^3 - 716/16665*c_1100_3^2 - 11218/16665*c_1100_3 - 1160/3333, c_1100_3^8 + 3*c_1100_3^7 - 4*c_1100_3^6 - 12*c_1100_3^5 + 14*c_1100_3^4 + 31*c_1100_3^3 - 10*c_1100_3^2 - 37*c_1100_3 + 15 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB