Magma V2.19-8 Tue Aug 20 2013 16:17:00 on localhost [Seed = 2867541625] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1258 geometric_solution 5.15886930 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 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 1 0 -1 1 0 0 -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 -0.869281004179 0.554816737166 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 -1 1 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 0 0 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 1.213367438568 1.374584516296 4 3 1 5 0132 2031 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 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 0.748476755453 0.723218064679 2 4 6 1 1302 2310 0132 0132 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 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 0.748476755453 0.723218064679 2 5 6 3 0132 0321 0321 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.311973474645 0.174272015704 6 6 2 4 0213 3120 0132 0321 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 1 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 0.365806131050 0.345948562661 5 5 4 3 0213 3120 0321 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 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 0.365806131050 0.345948562661 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : negation(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' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : d['c_1001_4'], 'c_1100_5' : d['c_1001_4'], 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : d['1'], 'c_1100_1' : d['c_1001_4'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1001_4'], 'c_1100_2' : d['c_1001_4'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : negation(d['c_0011_5']), '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_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_5']), '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' : d['c_0011_2'], 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_5']), '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' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : d['c_0101_0'], 'c_0110_6' : negation(d['c_0011_2']), 'c_1010_6' : negation(d['c_0011_5']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0011_3'], '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_3, c_0011_5, c_0101_0, c_0101_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 4/3*c_0101_1, c_0011_0 - 1, c_0011_2 + c_0011_3 + 1/2*c_0101_1, c_0011_3^2 + 1/2*c_0011_3*c_0101_1 - 3/4, c_0011_5 + 1/2, c_0101_0 + 1, c_0101_1^2 - 2, c_1001_4 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 361368465/350491504*c_0101_1*c_1001_4^7 - 1924851475/175245752*c_0101_1*c_1001_4^6 - 14959737591/350491504*c_0101_1*c_1001_4^5 - 19152159091/350491504*c_0101_1*c_1001_4^4 + 16485931433/350491504*c_0101_1*c_1001_4^3 + 32428690135/175245752*c_0101_1*c_1001_4^2 + 1559390595/43811438*c_0101_1*c_1001_4 - 10507232695/43811438*c_0101_1, c_0011_0 - 1, c_0011_2 + 10245/724156*c_0101_1*c_1001_4^7 + 90495/724156*c_0101_1*c_1001_4^6 + 132107/362078*c_0101_1*c_1001_4^5 + 116061/724156*c_0101_1*c_1001_4^4 - 233843/362078*c_0101_1*c_1001_4^3 - 419857/362078*c_0101_1*c_1001_4^2 + 258005/362078*c_0101_1*c_1001_4 + 54215/181039*c_0101_1, c_0011_3 + 10245/724156*c_0101_1*c_1001_4^7 + 90495/724156*c_0101_1*c_1001_4^6 + 132107/362078*c_0101_1*c_1001_4^5 + 116061/724156*c_0101_1*c_1001_4^4 - 233843/362078*c_0101_1*c_1001_4^3 - 419857/362078*c_0101_1*c_1001_4^2 + 258005/362078*c_0101_1*c_1001_4 + 54215/181039*c_0101_1, c_0011_5 + 17237/1448312*c_1001_4^7 + 65923/724156*c_1001_4^6 + 283075/1448312*c_1001_4^5 - 204765/1448312*c_1001_4^4 - 915817/1448312*c_1001_4^3 - 499191/724156*c_1001_4^2 + 438417/362078*c_1001_4 - 90061/181039, c_0101_0 + 2055/362078*c_1001_4^7 + 28087/724156*c_1001_4^6 + 21985/362078*c_1001_4^5 - 78285/724156*c_1001_4^4 - 30439/724156*c_1001_4^3 + 211019/724156*c_1001_4^2 + 63680/181039*c_1001_4 - 107867/181039, c_0101_1^2 - 2055/362078*c_1001_4^7 - 28087/724156*c_1001_4^6 - 21985/362078*c_1001_4^5 + 78285/724156*c_1001_4^4 + 30439/724156*c_1001_4^3 - 211019/724156*c_1001_4^2 - 63680/181039*c_1001_4 - 73172/181039, c_1001_4^8 + 8*c_1001_4^7 + 19*c_1001_4^6 - 7*c_1001_4^5 - 51*c_1001_4^4 - 40*c_1001_4^3 + 132*c_1001_4^2 - 64*c_1001_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB