Magma V2.19-8 Tue Aug 20 2013 16:16:41 on localhost [Seed = 1747580066] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0975 geometric_solution 4.87027223 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 1 0 0 -1 -1 2 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.922940568130 0.594273578864 0 0 3 2 0132 3201 0132 0132 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 -1 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 1.109372042250 1.248673705173 4 3 1 3 0132 2031 0132 3012 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 -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 0.770079596538 0.648914929178 2 4 2 1 1302 2310 1230 0132 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 -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 0.770079596538 0.648914929178 2 5 5 3 0132 0132 3201 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 -1 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 0.343808081411 0.221174122720 4 4 6 6 2310 0132 0132 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804815324615 2.678195734692 6 5 6 5 2310 2310 3201 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 1 -1 0 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.479843858059 0.356845375982 ==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' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_6']), 'c_1100_4' : negation(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_0101_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_2']), 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), '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_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0101_4'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0101_5'], '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_4']), 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_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_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9*c_0101_1*c_0101_5^4 - 40*c_0101_1*c_0101_5^3 - 61*c_0101_1*c_0101_5^2 - 50*c_0101_1*c_0101_5 - 27*c_0101_1, c_0011_0 - 1, c_0011_2 + c_0101_1*c_0101_5^4 + 2*c_0101_1*c_0101_5^3 + c_0101_1*c_0101_5^2 - c_0101_1, c_0011_6 + c_0101_1*c_0101_5^4 + 2*c_0101_1*c_0101_5^3 + 2*c_0101_1*c_0101_5^2 + c_0101_1*c_0101_5, c_0101_0 + c_0101_5^4 + 3*c_0101_5^3 + 3*c_0101_5^2 + 2*c_0101_5 - 1, c_0101_1^2 + c_0101_5^4 + 3*c_0101_5^3 + 3*c_0101_5^2 + 2*c_0101_5 - 2, c_0101_4 - c_0101_5^4 - 3*c_0101_5^3 - 2*c_0101_5^2 - c_0101_5, c_0101_5^5 + 4*c_0101_5^4 + 5*c_0101_5^3 + 3*c_0101_5^2 + c_0101_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_6, c_0101_0, c_0101_1, c_0101_4, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 49218/1723*c_0101_1*c_0101_5^6 - 55581/1723*c_0101_1*c_0101_5^5 - 632584/1723*c_0101_1*c_0101_5^4 + 1902076/1723*c_0101_1*c_0101_5^3 - 2954606/1723*c_0101_1*c_0101_5^2 + 2901156/1723*c_0101_1*c_0101_5 - 193176/1723*c_0101_1, c_0011_0 - 1, c_0011_2 - 637/1723*c_0101_1*c_0101_5^6 - 620/1723*c_0101_1*c_0101_5^5 + 6476/1723*c_0101_1*c_0101_5^4 - 11274/1723*c_0101_1*c_0101_5^3 + 19193/1723*c_0101_1*c_0101_5^2 - 5054/1723*c_0101_1*c_0101_5 + 941/1723*c_0101_1, c_0011_6 - 926/1723*c_0101_1*c_0101_5^6 - 1353/1723*c_0101_1*c_0101_5^5 + 9030/1723*c_0101_1*c_0101_5^4 - 11558/1723*c_0101_1*c_0101_5^3 + 19310/1723*c_0101_1*c_0101_5^2 + 5017/1723*c_0101_1*c_0101_5 - 1034/1723*c_0101_1, c_0101_0 - 33/1723*c_0101_5^6 + 590/1723*c_0101_5^5 + 1174/1723*c_0101_5^4 - 6835/1723*c_0101_5^3 + 8998/1723*c_0101_5^2 - 13421/1723*c_0101_5 - 1090/1723, c_0101_1^2 - 33/1723*c_0101_5^6 + 590/1723*c_0101_5^5 + 1174/1723*c_0101_5^4 - 6835/1723*c_0101_5^3 + 8998/1723*c_0101_5^2 - 13421/1723*c_0101_5 - 2813/1723, c_0101_4 - 201/1723*c_0101_5^6 - 9/1723*c_0101_5^5 + 2295/1723*c_0101_5^4 - 5605/1723*c_0101_5^3 + 8285/1723*c_0101_5^2 - 4681/1723*c_0101_5 - 217/1723, c_0101_5^7 - c_0101_5^6 - 13*c_0101_5^5 + 37*c_0101_5^4 - 55*c_0101_5^3 + 51*c_0101_5^2 + 4*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB