Magma V2.19-8 Tue Aug 20 2013 16:18:28 on localhost [Seed = 3616951015] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2668 geometric_solution 5.93319862 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 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 1.002984026827 0.958605415390 0 5 6 5 0132 0132 0132 1302 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 -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 0.058624068533 1.338115558550 4 0 3 3 3120 0132 3012 0132 0 0 0 0 0 1 -1 0 0 0 0 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 1 -1 0 1 0 -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 0.289815885017 0.204961012439 5 2 2 0 3012 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.435723329554 0.826980856592 6 5 0 2 1023 2031 0132 3120 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 0 0 0 0 1 -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 1.481145829971 0.619984407094 4 1 1 3 1302 0132 2031 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489160162101 1.084508965636 6 4 6 1 2031 1023 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252212217932 0.716788365933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_2']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], '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' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_3'])})} 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_3, 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: 3 Groebner basis: [ t + 445/4*c_0101_3^2 + 169/2*c_0101_3 - 1/2, c_0011_0 - 1, c_0011_3 - 5*c_0101_3^2 + 2*c_0101_3 + 3, c_0011_4 - 10*c_0101_3^2 + 3*c_0101_3 + 6, c_0101_0 - 5*c_0101_3^2 + c_0101_3 + 3, c_0101_1 - 5*c_0101_3^2 + 2*c_0101_3 + 2, c_0101_2 + 5*c_0101_3^2 - c_0101_3 - 3, c_0101_3^3 + 2/5*c_0101_3^2 - 4/5*c_0101_3 - 2/5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, 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: 8 Groebner basis: [ t - 8*c_0101_3^7 + 15*c_0101_3^6 + 55*c_0101_3^5 - 59*c_0101_3^4 - 118*c_0101_3^3 + 58*c_0101_3^2 + 63*c_0101_3 - 22, c_0011_0 - 1, c_0011_3 + 2*c_0101_3^7 - 4*c_0101_3^6 - 12*c_0101_3^5 + 13*c_0101_3^4 + 23*c_0101_3^3 - 7*c_0101_3^2 - 9*c_0101_3, c_0011_4 - c_0101_3^7 + 11*c_0101_3^5 + 3*c_0101_3^4 - 29*c_0101_3^3 - 10*c_0101_3^2 + 17*c_0101_3 + 2, c_0101_0 + 2*c_0101_3^7 - 4*c_0101_3^6 - 12*c_0101_3^5 + 13*c_0101_3^4 + 23*c_0101_3^3 - 7*c_0101_3^2 - 10*c_0101_3, c_0101_1 - c_0101_3^7 + 11*c_0101_3^5 + 3*c_0101_3^4 - 29*c_0101_3^3 - 11*c_0101_3^2 + 17*c_0101_3 + 3, c_0101_2 + c_0101_3^7 - 2*c_0101_3^6 - 6*c_0101_3^5 + 7*c_0101_3^4 + 10*c_0101_3^3 - 4*c_0101_3^2 - 2*c_0101_3 - 1, c_0101_3^8 - 2*c_0101_3^7 - 7*c_0101_3^6 + 9*c_0101_3^5 + 16*c_0101_3^4 - 12*c_0101_3^3 - 11*c_0101_3^2 + 6*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB