Magma V2.19-8 Tue Aug 20 2013 16:16:42 on localhost [Seed = 172725955] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0984 geometric_solution 4.87606827 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 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 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 0.330949469077 0.717544340289 0 5 4 3 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330949469077 0.717544340289 6 0 4 5 0132 0132 1230 0213 0 0 0 0 0 0 0 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 0 1 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 -0.669527714433 0.328382729748 1 4 5 0 3201 0132 1023 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 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 0.417857856566 0.313845724402 1 3 0 2 2031 0132 0132 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.330949469077 0.717544340289 6 1 3 2 3201 0132 1023 0213 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 -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 1.096130148294 0.474204943663 2 6 6 5 0132 1230 3012 2310 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 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 1.786874546115 0.552462546190 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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' : d['c_0011_0'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : negation(d['c_1001_0']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0110_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : negation(d['c_0101_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0101_6']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : d['c_1001_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_3, c_0101_0, c_0101_2, c_0101_6, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 941/6*c_1001_0^8 - 565/12*c_1001_0^7 + 8755/12*c_1001_0^6 + 13963/12*c_1001_0^5 - 2437/6*c_1001_0^4 - 13771/12*c_1001_0^3 - 751/12*c_1001_0^2 + 934/3*c_1001_0 + 1825/24, c_0011_0 - 1, c_0011_3 - 18*c_1001_0^8 + 8*c_1001_0^7 + 84*c_1001_0^6 + 70*c_1001_0^5 - 128*c_1001_0^4 - 70*c_1001_0^3 + 80*c_1001_0^2 + 14*c_1001_0 - 14, c_0101_0 + 18*c_1001_0^8 - 8*c_1001_0^7 - 84*c_1001_0^6 - 70*c_1001_0^5 + 128*c_1001_0^4 + 70*c_1001_0^3 - 80*c_1001_0^2 - 14*c_1001_0 + 15, c_0101_2 + 10*c_1001_0^8 - 8*c_1001_0^7 - 48*c_1001_0^6 - 22*c_1001_0^5 + 98*c_1001_0^4 + 30*c_1001_0^3 - 70*c_1001_0^2 - 7*c_1001_0 + 14, c_0101_6 - 2*c_1001_0^8 + 2*c_1001_0^7 + 10*c_1001_0^6 + 2*c_1001_0^5 - 24*c_1001_0^4 - 4*c_1001_0^3 + 22*c_1001_0^2 + c_1001_0 - 6, c_0110_4 + 10*c_1001_0^8 - 2*c_1001_0^7 - 48*c_1001_0^6 - 50*c_1001_0^5 + 62*c_1001_0^4 + 56*c_1001_0^3 - 34*c_1001_0^2 - 14*c_1001_0 + 6, c_1001_0^9 - 5*c_1001_0^7 - 6*c_1001_0^6 + 6*c_1001_0^5 + 8*c_1001_0^4 - 3*c_1001_0^3 - 7/2*c_1001_0^2 + 1/2*c_1001_0 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB