Magma V2.19-8 Tue Aug 20 2013 16:17:10 on localhost [Seed = 2345277275] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1414 geometric_solution 5.25206781 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 -1 0 1 -1 0 0 1 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 0 1 -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 -0.558741474160 0.187501672053 0 0 2 2 0132 3201 2310 0132 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 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3.904753046875 2.276465309616 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -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 -0.068035390068 0.647044935325 2 4 4 5 0132 2310 1302 0132 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 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 0.260540196930 0.674380842223 3 6 2 3 2031 0132 0132 3201 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 -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 0.260540196930 0.674380842223 6 6 3 6 3012 0213 0132 2310 0 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 0 0 0 0 1 0 -1 0 0 0 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.738285692041 0.673310063283 5 4 5 5 3201 0132 0213 1230 0 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 0 0 0 0 0 1 -1 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 0.738285692041 0.673310063283 ==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' : 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' : negation(d['1']), 's_2_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_5']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_4']), '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' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_4']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0110_4'], '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_0011_4']), 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0110_4']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : d['c_0101_0'], '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_4, c_0011_5, c_0101_0, c_0101_1, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 1439/4181*c_0110_4^8 + 13791/4181*c_0110_4^7 + 16647/4181*c_0110_4^6 - 161471/4181*c_0110_4^5 - 364984/4181*c_0110_4^4 + 336275/4181*c_0110_4^3 + 853961/4181*c_0110_4^2 + 130493/4181*c_0110_4 - 34499/4181, c_0011_0 - 1, c_0011_2 - 573/4181*c_0110_4^8 - 2672/4181*c_0110_4^7 + 6406/4181*c_0110_4^6 + 32972/4181*c_0110_4^5 - 12171/4181*c_0110_4^4 - 74821/4181*c_0110_4^3 - 14111/4181*c_0110_4^2 + 20767/4181*c_0110_4 + 1616/4181, c_0011_4 - 968/4181*c_0110_4^8 - 4011/4181*c_0110_4^7 + 12964/4181*c_0110_4^6 + 49187/4181*c_0110_4^5 - 47273/4181*c_0110_4^4 - 105514/4181*c_0110_4^3 + 33616/4181*c_0110_4^2 + 20637/4181*c_0110_4 - 3815/4181, c_0011_5 - 1, c_0101_0 - 968/4181*c_0110_4^8 - 4011/4181*c_0110_4^7 + 12964/4181*c_0110_4^6 + 49187/4181*c_0110_4^5 - 47273/4181*c_0110_4^4 - 105514/4181*c_0110_4^3 + 33616/4181*c_0110_4^2 + 24818/4181*c_0110_4 - 3815/4181, c_0101_1 + 967/4181*c_0110_4^8 + 3472/4181*c_0110_4^7 - 15083/4181*c_0110_4^6 - 41908/4181*c_0110_4^5 + 72466/4181*c_0110_4^4 + 78407/4181*c_0110_4^3 - 81429/4181*c_0110_4^2 - 5931/4181*c_0110_4 + 7317/4181, c_0110_4^9 + 4*c_0110_4^8 - 14*c_0110_4^7 - 49*c_0110_4^6 + 56*c_0110_4^5 + 103*c_0110_4^4 - 49*c_0110_4^3 - 22*c_0110_4^2 + 6*c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB