Magma V2.19-8 Tue Aug 20 2013 16:14:57 on localhost [Seed = 3785391608] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s933 geometric_solution 5.84315610 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 2 0 0 0132 0132 1230 3012 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 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 0.593420649124 0.899899047082 0 3 5 4 0132 0132 0132 0132 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 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 0.537116733093 1.105636237707 3 0 4 5 2310 0132 0132 2310 0 0 0 0 0 0 0 0 1 0 0 -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 0 -1 1 0 1 0 0 -1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537116733093 1.105636237707 3 1 2 3 3201 0132 3201 2310 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 -1 0 1 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 0.032656115272 0.782893244939 4 4 1 2 1230 3012 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 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 0.593420649124 0.899899047082 2 5 5 1 3201 3201 2310 0132 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 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 0.032656115272 0.782893244939 ==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_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_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_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_5'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : 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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0101_0']), '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' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_4'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - c_0101_3^4 + c_0101_3^3 + 15*c_0101_3^2 - 5*c_0101_3 - 7, c_0011_0 - 1, c_0011_4 - c_0101_3^4 - 3*c_0101_3^3 + 3*c_0101_3^2 + 3*c_0101_3 - 1, c_0011_5 + 1, c_0101_0 + 2*c_0101_3^4 + 5*c_0101_3^3 - 8*c_0101_3^2 - 3*c_0101_3 + 3, c_0101_1 + c_0101_3^4 + 3*c_0101_3^3 - 3*c_0101_3^2 - 3*c_0101_3 + 1, c_0101_3^5 + 3*c_0101_3^4 - 3*c_0101_3^3 - 4*c_0101_3^2 + c_0101_3 + 1 ], Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 160/7*c_0101_3^15 - 746/7*c_0101_3^14 - 2395/14*c_0101_3^13 + 872/7*c_0101_3^12 + 3323/7*c_0101_3^11 + 1453/14*c_0101_3^10 - 4244/7*c_0101_3^9 - 3767/7*c_0101_3^8 + 6091/14*c_0101_3^7 + 8607/14*c_0101_3^6 - 3083/14*c_0101_3^5 - 2650/7*c_0101_3^4 + 717/14*c_0101_3^3 + 785/7*c_0101_3^2 + 3/7*c_0101_3 - 235/14, c_0011_0 - 1, c_0011_4 + c_0101_3^15 + 4*c_0101_3^14 + 4*c_0101_3^13 - 12*c_0101_3^12 - 19*c_0101_3^11 + 13*c_0101_3^10 + 36*c_0101_3^9 + 3*c_0101_3^8 - 45*c_0101_3^7 - 17*c_0101_3^6 + 39*c_0101_3^5 + 15*c_0101_3^4 - 22*c_0101_3^3 - 6*c_0101_3^2 + 6*c_0101_3 + 1, c_0011_5 - 57/14*c_0101_3^15 - 253/14*c_0101_3^14 - 181/7*c_0101_3^13 + 215/7*c_0101_3^12 + 579/7*c_0101_3^11 - 5/7*c_0101_3^10 - 1635/14*c_0101_3^9 - 74*c_0101_3^8 + 734/7*c_0101_3^7 + 699/7*c_0101_3^6 - 929/14*c_0101_3^5 - 911/14*c_0101_3^4 + 24*c_0101_3^3 + 159/7*c_0101_3^2 - 19/7*c_0101_3 - 24/7, c_0101_0 + 3/7*c_0101_3^15 + c_0101_3^14 - 27/14*c_0101_3^13 - 179/14*c_0101_3^12 - 10*c_0101_3^11 + 18*c_0101_3^10 + 33*c_0101_3^9 - 9/7*c_0101_3^8 - 659/14*c_0101_3^7 - 155/7*c_0101_3^6 + 212/7*c_0101_3^5 + 28*c_0101_3^4 - 141/14*c_0101_3^3 - 233/14*c_0101_3^2 + 9/7*c_0101_3 + 30/7, c_0101_1 + 31/14*c_0101_3^15 + 66/7*c_0101_3^14 + 173/14*c_0101_3^13 - 275/14*c_0101_3^12 - 310/7*c_0101_3^11 + 67/14*c_0101_3^10 + 955/14*c_0101_3^9 + 541/14*c_0101_3^8 - 461/7*c_0101_3^7 - 785/14*c_0101_3^6 + 40*c_0101_3^5 + 297/7*c_0101_3^4 - 199/14*c_0101_3^3 - 269/14*c_0101_3^2 + 15/7*c_0101_3 + 55/14, c_0101_3^16 + 4*c_0101_3^15 + 4*c_0101_3^14 - 12*c_0101_3^13 - 19*c_0101_3^12 + 13*c_0101_3^11 + 36*c_0101_3^10 + 3*c_0101_3^9 - 45*c_0101_3^8 - 17*c_0101_3^7 + 39*c_0101_3^6 + 15*c_0101_3^5 - 22*c_0101_3^4 - 6*c_0101_3^3 + 7*c_0101_3^2 + c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB