Magma V2.19-8 Tue Aug 20 2013 16:16:14 on localhost [Seed = 3330759173] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0502 geometric_solution 4.51290879 oriented_manifold CS_known -0.0000000000000001 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 2.378171307034 0.903066407016 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 -0.616685705799 0.113145979955 0 3 4 0 3201 0132 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 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 0.451125731195 0.862600162576 4 2 5 4 2310 0132 0132 3201 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 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 -0.190591277542 0.615238785457 5 3 3 2 1023 2310 3201 0132 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 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 -0.190591277542 0.615238785457 6 4 6 3 0132 1023 2310 0132 0 0 0 0 0 0 0 0 0 0 1 -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 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 1.715441681293 1.553132949017 5 5 6 6 0132 3201 1230 3012 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 -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 0.216439928895 0.394702931302 ==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_0101_5'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_2'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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' : negation(d['c_0011_4']), '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' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0101_5']), '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' : d['c_0101_3'], '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' : d['c_0101_0'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], '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_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 3250/4123*c_0101_5^6 - 4512/4123*c_0101_5^5 + 6362/4123*c_0101_5^4 - 38043/4123*c_0101_5^3 - 6143/4123*c_0101_5^2 + 5926/4123*c_0101_5 - 2686/4123, c_0011_0 - 1, c_0011_2 + 1/589*c_0101_5^6 - 9/589*c_0101_5^5 + 73/589*c_0101_5^4 - 5/589*c_0101_5^3 + 32/589*c_0101_5^2 - 249/589*c_0101_5 - 957/589, c_0011_4 + 130/589*c_0101_5^6 + 8/589*c_0101_5^5 + 66/589*c_0101_5^4 - 1239/589*c_0101_5^3 - 2319/589*c_0101_5^2 - 564/589*c_0101_5 - 131/589, c_0101_0 - 497/589*c_0101_5^6 + 350/589*c_0101_5^5 - 352/589*c_0101_5^4 + 4841/589*c_0101_5^3 + 5300/589*c_0101_5^2 - 2293/589*c_0101_5 + 895/589, c_0101_1 + 635/589*c_0101_5^6 - 414/589*c_0101_5^5 + 413/589*c_0101_5^4 - 6120/589*c_0101_5^3 - 7363/589*c_0101_5^2 + 2682/589*c_0101_5 - 1025/589, c_0101_3 - 221/589*c_0101_5^6 + 222/589*c_0101_5^5 - 230/589*c_0101_5^4 + 2283/589*c_0101_5^3 + 1763/589*c_0101_5^2 - 1515/589*c_0101_5 + 635/589, c_0101_5^7 - c_0101_5^6 + c_0101_5^5 - 10*c_0101_5^4 - 8*c_0101_5^3 + 7*c_0101_5^2 - 4*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_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1504/765*c_0101_5^6 + 1813/255*c_0101_5^5 - 4387/765*c_0101_5^4 + 2366/153*c_0101_5^3 + 10927/255*c_0101_5^2 + 2812/153*c_0101_5 + 4681/765, c_0011_0 - 1, c_0011_2 - 2/85*c_0101_5^6 - 7/85*c_0101_5^5 + 6/85*c_0101_5^4 - 1/17*c_0101_5^3 - 8/85*c_0101_5^2 - 20/17*c_0101_5 + 52/85, c_0011_4 + 3/85*c_0101_5^6 + 8/85*c_0101_5^5 - 29/85*c_0101_5^4 + 2/17*c_0101_5^3 + 6/5*c_0101_5^2 - 27/17*c_0101_5 + 2/85, c_0101_0 - 16/85*c_0101_5^6 - 11/85*c_0101_5^5 + 9/5*c_0101_5^4 - 5*c_0101_5^3 + 356/85*c_0101_5^2 - 1/17*c_0101_5 - 4/85, c_0101_1 - 2/85*c_0101_5^6 + 8/85*c_0101_5^5 + 41/85*c_0101_5^4 - 21/17*c_0101_5^3 + 217/85*c_0101_5^2 - 1/17*c_0101_5 - 3/85, c_0101_3 + 33/85*c_0101_5^6 + 4/5*c_0101_5^5 - 224/85*c_0101_5^4 + 111/17*c_0101_5^3 - 28/85*c_0101_5^2 - 5/17*c_0101_5 - 18/85, c_0101_5^7 + 2*c_0101_5^6 - 7*c_0101_5^5 + 17*c_0101_5^4 - c_0101_5^3 - c_0101_5^2 - c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB