Magma V2.19-8 Tue Aug 20 2013 16:09:04 on localhost [Seed = 947496626] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m364 geometric_solution 4.74832718 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 5 1 2 3 4 0132 0132 0132 0132 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 0 -1 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 0 0 0 0.276028665164 1.159461109063 0 4 1 1 0132 0132 1230 3012 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 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 0.385713181061 0.697337897279 2 0 4 2 3201 0132 3201 2310 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 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 0.276911284074 0.898156711415 4 3 3 0 3201 3201 2310 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 -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 -0.194312232260 0.816210433025 2 1 0 3 2310 0132 0132 2310 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 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 0 0 0 0 0 0 0.276028665164 1.159461109063 ==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_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_4' : d['c_0011_3'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_4' : d['c_0011_0'], '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_4' : negation(d['c_0101_1']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : negation(d['c_0101_2']), '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_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 15758/89*c_0101_2^12 - 15893/1246*c_0101_2^11 + 328430/623*c_0101_2^10 - 186695/1246*c_0101_2^9 - 505259/623*c_0101_2^8 + 133880/623*c_0101_2^7 + 76849/89*c_0101_2^6 - 20065/178*c_0101_2^5 - 46491/89*c_0101_2^4 - 3345/1246*c_0101_2^3 + 120009/623*c_0101_2^2 + 5626/623*c_0101_2 - 36947/1246, c_0011_0 - 1, c_0011_3 - 2658/89*c_0101_2^12 + 2215/623*c_0101_2^11 + 61718/623*c_0101_2^10 - 26056/623*c_0101_2^9 - 97316/623*c_0101_2^8 + 44300/623*c_0101_2^7 + 15136/89*c_0101_2^6 - 4669/89*c_0101_2^5 - 10138/89*c_0101_2^4 + 9176/623*c_0101_2^3 + 28320/623*c_0101_2^2 - 10/623*c_0101_2 - 4934/623, c_0101_0 + 3058/89*c_0101_2^12 + 4720/623*c_0101_2^11 - 68925/623*c_0101_2^10 + 7176/623*c_0101_2^9 + 113905/623*c_0101_2^8 - 15248/623*c_0101_2^7 - 18051/89*c_0101_2^6 + 306/89*c_0101_2^5 + 11354/89*c_0101_2^4 + 8390/623*c_0101_2^3 - 28076/623*c_0101_2^2 - 4447/623*c_0101_2 + 4168/623, c_0101_1 + 7*c_0101_2^12 + 5*c_0101_2^11 - 22*c_0101_2^10 - 9*c_0101_2^9 + 39*c_0101_2^8 + 14*c_0101_2^7 - 45*c_0101_2^6 - 21*c_0101_2^5 + 28*c_0101_2^4 + 17*c_0101_2^3 - 9*c_0101_2^2 - 6*c_0101_2 + 1, c_0101_2^13 + 5/7*c_0101_2^12 - 22/7*c_0101_2^11 - 9/7*c_0101_2^10 + 39/7*c_0101_2^9 + 2*c_0101_2^8 - 45/7*c_0101_2^7 - 3*c_0101_2^6 + 4*c_0101_2^5 + 17/7*c_0101_2^4 - 9/7*c_0101_2^3 - c_0101_2^2 + 1/7*c_0101_2 + 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB