Magma V2.19-8 Tue Aug 20 2013 16:14:57 on localhost [Seed = 2176851355] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s936 geometric_solution 5.87218855 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 -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 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 0.771809465244 0.753324515401 0 3 5 4 0132 0132 0132 0132 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 -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 0.545246846213 0.727928367166 3 0 4 5 3201 0132 3201 2310 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 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 0.545246846213 0.727928367166 3 1 3 2 2031 0132 1302 2310 0 0 0 0 0 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.334835971885 1.189950165770 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 0 -1 1 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 -1 1 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 0.653396768021 1.395036916516 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.335837071097 0.629806452419 ==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' : negation(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' : negation(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' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), '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_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_5'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), '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_2']), 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0101_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), '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_0101_0, c_0101_1, c_0101_2, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 438435/1258*c_0101_2*c_0101_5^9 + 5674729/2516*c_0101_2*c_0101_5^8 + 103789/37*c_0101_2*c_0101_5^7 - 1852819/1258*c_0101_2*c_0101_5^6 - 3513580/629*c_0101_2*c_0101_5^5 + 971561/629*c_0101_2*c_0101_5^4 + 5725775/629*c_0101_2*c_0101_5^3 - 11703657/1258*c_0101_2*c_0101_5^2 + 2048839/2516*c_0101_2*c_0101_5 + 1890585/2516*c_0101_2, c_0011_0 - 1, c_0011_4 + 4305/1258*c_0101_2*c_0101_5^9 + 27833/1258*c_0101_2*c_0101_5^8 + 2033/74*c_0101_2*c_0101_5^7 - 8856/629*c_0101_2*c_0101_5^6 - 67199/1258*c_0101_2*c_0101_5^5 + 21101/1258*c_0101_2*c_0101_5^4 + 56206/629*c_0101_2*c_0101_5^3 - 58136/629*c_0101_2*c_0101_5^2 + 11937/1258*c_0101_2*c_0101_5 + 4542/629*c_0101_2, c_0101_0 - 1301/629*c_0101_2*c_0101_5^9 - 33883/2516*c_0101_2*c_0101_5^8 - 2555/148*c_0101_2*c_0101_5^7 + 18733/2516*c_0101_2*c_0101_5^6 + 20302/629*c_0101_2*c_0101_5^5 - 21745/2516*c_0101_2*c_0101_5^4 - 136191/2516*c_0101_2*c_0101_5^3 + 65703/1258*c_0101_2*c_0101_5^2 - 3241/629*c_0101_2*c_0101_5 - 8639/2516*c_0101_2, c_0101_1 - 5951/2516*c_0101_5^9 - 38251/2516*c_0101_5^8 - 2719/148*c_0101_5^7 + 6768/629*c_0101_5^6 + 93695/2516*c_0101_5^5 - 30907/2516*c_0101_5^4 - 76637/1258*c_0101_5^3 + 41862/629*c_0101_5^2 - 20439/2516*c_0101_5 - 3241/629, c_0101_2^2 + c_0101_5 - 1, c_0101_5^10 + 6*c_0101_5^9 + 5*c_0101_5^8 - 8*c_0101_5^7 - 14*c_0101_5^6 + 12*c_0101_5^5 + 24*c_0101_5^4 - 39*c_0101_5^3 + 15*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