Magma V2.19-8 Tue Aug 20 2013 16:14:52 on localhost [Seed = 543276104] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s839 geometric_solution 5.42357119 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 0 -1 1 -1 0 0 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 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 0.884285361857 1.044222301116 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 -1 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 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 0.747152296781 0.708564500495 3 0 4 5 2310 0132 3201 2310 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 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 0.747152296781 0.708564500495 3 1 2 3 3201 0132 3201 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 -0.306267364584 0.771653859368 2 4 1 4 2310 1302 0132 2031 0 0 0 0 0 1 -1 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 -1 0 1 0 0 -1 1 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760628507482 0.420217282907 2 5 5 1 3201 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.718517260167 0.587001006533 ==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_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1070/7*c_0101_3^9 + 3816/7*c_0101_3^8 + 10646/7*c_0101_3^7 + 1749*c_0101_3^6 - 4377/7*c_0101_3^5 - 18118/7*c_0101_3^4 - 11544/7*c_0101_3^3 + 332*c_0101_3^2 + 835*c_0101_3 + 1780/7, c_0011_0 - 1, c_0011_4 - 60*c_0101_3^9 + 212*c_0101_3^8 + 607*c_0101_3^7 + 696*c_0101_3^6 - 252*c_0101_3^5 - 1065*c_0101_3^4 - 690*c_0101_3^3 + 130*c_0101_3^2 + 350*c_0101_3 + 112, c_0101_0 - 4*c_0101_3^9 + 19*c_0101_3^8 + 20*c_0101_3^7 + 11*c_0101_3^6 - 50*c_0101_3^5 - 28*c_0101_3^4 + 13*c_0101_3^3 + 27*c_0101_3^2 - 8, c_0101_1 + 28*c_0101_3^9 - 95*c_0101_3^8 - 300*c_0101_3^7 - 353*c_0101_3^6 + 94*c_0101_3^5 + 535*c_0101_3^4 + 370*c_0101_3^3 - 50*c_0101_3^2 - 184*c_0101_3 - 64, c_0101_2 + c_0101_3^9 - 3*c_0101_3^8 - 12*c_0101_3^7 - 17*c_0101_3^6 - 2*c_0101_3^5 + 20*c_0101_3^4 + 21*c_0101_3^3 + 4*c_0101_3^2 - 8*c_0101_3 - 5, c_0101_3^10 - 3*c_0101_3^9 - 12*c_0101_3^8 - 17*c_0101_3^7 - 2*c_0101_3^6 + 20*c_0101_3^5 + 21*c_0101_3^4 + 4*c_0101_3^3 - 7*c_0101_3^2 - 5*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB