Magma V2.19-8 Tue Aug 20 2013 16:18:32 on localhost [Seed = 1478083947] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2725 geometric_solution 5.97350958 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 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 1 -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 1.209831289802 1.451472976913 0 5 4 2 0132 0132 1302 2103 0 0 0 0 0 0 1 -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 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 0.455606966819 0.266410070078 5 0 3 1 2310 0132 2103 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.048464200992 0.851781014624 2 4 6 0 2103 2103 0132 0132 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 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 0.048464200992 0.851781014624 1 3 0 6 2031 2103 0132 2310 0 0 0 0 0 0 0 0 -1 0 0 1 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 0 1 -1 0 0 0 0 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455606966819 0.266410070078 6 1 2 6 1230 0132 3201 3012 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.364373934578 0.956410429261 4 5 5 3 3201 3012 1230 0132 0 0 0 0 0 0 0 0 1 0 -1 0 0 1 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 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 0.364373934578 0.956410429261 ==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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : negation(d['c_0101_0']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), '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_6'], '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_2']), 'c_1001_4' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : 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_0011_6, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/56*c_0101_6 + 279/140, c_0011_0 - 1, c_0011_3 - c_0101_6 - 1, c_0011_4 + c_0101_6, c_0011_6 + 1/2*c_0101_6 + 1, c_0101_0 - 1/2*c_0101_6 + 1, c_0101_2 - 1/2*c_0101_6, c_0101_6^2 + 2/5*c_0101_6 + 4/5 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 28927/5953*c_0101_6^6 - 28688/5953*c_0101_6^5 - 86598/5953*c_0101_6^4 - 59568/5953*c_0101_6^3 + 291071/5953*c_0101_6^2 - 27143/5953*c_0101_6 - 635650/5953, c_0011_0 - 1, c_0011_3 + 104/5953*c_0101_6^6 - 20/5953*c_0101_6^5 - 1244/5953*c_0101_6^4 + 161/5953*c_0101_6^3 + 1399/5953*c_0101_6^2 + 797/5953*c_0101_6 - 3247/5953, c_0011_4 + 245/5953*c_0101_6^6 - 734/5953*c_0101_6^5 - 412/5953*c_0101_6^4 + 551/5953*c_0101_6^3 + 3124/5953*c_0101_6^2 - 2301/5953*c_0101_6 - 4272/5953, c_0011_6 - 1, c_0101_0 + 104/5953*c_0101_6^6 - 20/5953*c_0101_6^5 - 1244/5953*c_0101_6^4 + 161/5953*c_0101_6^3 + 1399/5953*c_0101_6^2 + 797/5953*c_0101_6 - 3247/5953, c_0101_2 + 489/5953*c_0101_6^6 - 323/5953*c_0101_6^5 - 1041/5953*c_0101_6^4 - 674/5953*c_0101_6^3 + 2056/5953*c_0101_6^2 - 1118/5953*c_0101_6 - 5708/5953, c_0101_6^7 - c_0101_6^6 - 3*c_0101_6^5 - 2*c_0101_6^4 + 10*c_0101_6^3 - c_0101_6^2 - 22*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB