Magma V2.19-8 Tue Aug 20 2013 23:40:19 on localhost [Seed = 290944405] Type ? for help. Type -D to quit. Loading file "L10a67__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a67 geometric_solution 10.36486961 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 1 3 0132 0132 3012 0132 1 0 1 1 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 -1 0 1 2 0 -3 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 0.445810857881 0.447884176428 0 0 5 4 0132 1230 0132 0132 0 0 1 1 0 -1 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 0 0 0 0 0 3 -2 -1 -2 0 2 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 1.091512579534 0.882137839936 6 0 7 6 0132 0132 0132 2031 1 0 1 1 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 -3 -1 0 4 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.538389442083 1.052115238674 5 8 0 7 0132 0132 0132 0132 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 -1 0 0 0 -1 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 1.008190377953 1.165759233165 9 8 1 10 0132 1230 0132 0132 0 0 0 1 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 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.061121928068 1.163167572944 3 6 10 1 0132 0321 2310 0132 0 0 1 0 0 1 0 -1 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 -2 0 2 0 0 2 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554837459336 0.617239294976 2 2 9 5 0132 1302 3120 0321 0 0 1 1 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 -2 2 0 0 0 0 -1 1 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614557763394 0.753227346348 8 9 3 2 0321 2103 0132 0132 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 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 0.672221408548 0.575916494201 7 3 4 9 0321 0132 3012 2103 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 0 -1 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 0.865128715678 1.073205603880 4 7 6 8 0132 2103 3120 2103 1 0 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.915207489143 1.437226015392 10 5 4 10 3012 3201 0132 1230 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 1 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.444599415788 0.697205388571 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_0101_10']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : negation(d['c_0011_4']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : negation(d['1']), 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_2_7' : d['1'], 's_2_10' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_7'], 'c_1100_8' : negation(d['c_0101_0']), 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_1001_1']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_1001_2']), 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : 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_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : 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_0110_10' : d['c_0011_10'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : negation(d['c_0011_7']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0101_5']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 554016/245245*c_1001_2^10 - 226102/22295*c_1001_2^9 + 2696802/245245*c_1001_2^8 - 815504/35035*c_1001_2^7 + 2652667/245245*c_1001_2^6 - 11950392/245245*c_1001_2^5 + 123493/3773*c_1001_2^4 - 11910839/245245*c_1001_2^3 + 1222712/49049*c_1001_2^2 - 10742401/245245*c_1001_2 + 1251702/245245, c_0011_0 - 1, c_0011_10 + c_1001_2, c_0011_3 + c_1001_2^10 - c_1001_2^9 + c_1001_2^8 - c_1001_2^7 + 2*c_1001_2^6 - 2*c_1001_2^5 + c_1001_2^4 - c_1001_2^3 + c_1001_2 - 1, c_0011_4 - c_1001_2^9 - c_1001_2^7 - 2*c_1001_2^5 - c_1001_2^3 - 1, c_0011_7 - c_1001_2^7 - c_1001_2^5 - 2*c_1001_2^3 - c_1001_2, c_0101_0 - 1, c_0101_1 + c_1001_2^10 - c_1001_2^9 + 2*c_1001_2^8 - c_1001_2^7 + 3*c_1001_2^6 - 2*c_1001_2^5 + 3*c_1001_2^4 - c_1001_2^3 + c_1001_2^2 + 2*c_1001_2 - 1, c_0101_10 + c_1001_2^10 + c_1001_2^8 + 3*c_1001_2^6 + 2*c_1001_2^4 + c_1001_2^2, c_0101_5 - 2*c_1001_2^10 - 2*c_1001_2^8 - 5*c_1001_2^6 - 3*c_1001_2^4 - c_1001_2^2 - c_1001_2, c_1001_1 + c_1001_2^10 - c_1001_2^9 + 2*c_1001_2^8 - c_1001_2^7 + 3*c_1001_2^6 - 2*c_1001_2^5 + 3*c_1001_2^4 - c_1001_2^3 + c_1001_2^2 + c_1001_2 - 1, c_1001_2^11 - c_1001_2^10 + 2*c_1001_2^9 - c_1001_2^8 + 4*c_1001_2^7 - 2*c_1001_2^6 + 4*c_1001_2^5 - c_1001_2^4 + 3*c_1001_2^3 + c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB