Magma V2.19-8 Wed Aug 21 2013 00:02:03 on localhost [Seed = 189620901] Type ? for help. Type -D to quit. Loading file "L14n58754__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58754 geometric_solution 11.01237599 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 2 0 0 1 -1 -1 0 0 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 1 -4 3 3 0 -1 -2 0 0 0 0 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.573226395529 0.809915677981 0 3 6 5 0132 3120 0132 0132 1 0 2 1 0 0 0 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 0 0 0 0 0 0 0 -3 0 3 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.731722855423 0.581285501746 7 0 9 8 0132 0132 0132 0132 1 1 2 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 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 0.420254575910 0.467753558162 10 1 5 0 0132 3120 0132 0132 1 0 2 1 0 0 1 -1 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 -4 4 -1 0 0 1 1 -4 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.216927758270 0.344556503737 11 9 0 6 0132 3201 0132 0132 1 0 1 1 0 0 1 -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 0 -3 3 1 0 2 -3 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.219128788530 1.772264407761 10 7 1 3 2103 0213 0132 0132 1 0 1 2 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 -4 0 4 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.296440065462 1.813855615399 11 7 4 1 3120 1302 0132 0132 1 0 1 1 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 3 -3 0 0 0 3 -3 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567155962526 0.574122319467 2 8 5 6 0132 2103 0213 2031 1 1 1 2 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 -4 4 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434222512627 0.869360061314 10 7 2 11 1023 2103 0132 3201 1 1 1 2 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 4 0 -4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.164441188021 1.645247290813 9 9 4 2 1302 2031 2310 0132 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 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 0.278775523088 0.882068028739 3 8 5 11 0132 1023 2103 0132 1 0 1 2 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 -3 3 1 0 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 0.527599525193 0.655769826859 4 8 10 6 0132 2310 0132 3120 1 0 1 1 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 4 -3 -1 -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 0.283883340197 0.508323952421 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : d['c_0011_5'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_0011_9'], 'c_1001_7' : d['c_0011_10'], 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_0011_9'], 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_0011_0'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : d['c_0011_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_1']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_6'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_0011_9'], 'c_1010_9' : d['c_0011_9'], 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : negation(d['c_0011_11']), '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' : negation(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_1_9' : negation(d['1']), 's_1_8' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_11'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0011_5'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_5, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 91629/56*c_1100_0^5 - 92859/14*c_1100_0^4 - 258577/28*c_1100_0^3 - 30389/4*c_1100_0^2 - 196669/56*c_1100_0 - 4615/7, c_0011_0 - 1, c_0011_10 + 27*c_1100_0^5 + 99*c_1100_0^4 + 114*c_1100_0^3 + 82*c_1100_0^2 + 28*c_1100_0 + 2, c_0011_11 + 90*c_1100_0^5 + 345*c_1100_0^4 + 436*c_1100_0^3 + 338*c_1100_0^2 + 139*c_1100_0 + 20, c_0011_5 + 99*c_1100_0^5 + 375*c_1100_0^4 + 464*c_1100_0^3 + 355*c_1100_0^2 + 141*c_1100_0 + 19, c_0011_6 + 18*c_1100_0^5 + 69*c_1100_0^4 + 86*c_1100_0^3 + 65*c_1100_0^2 + 26*c_1100_0 + 3, c_0011_9 - c_1100_0 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 9*c_1100_0^5 - 30*c_1100_0^4 - 28*c_1100_0^3 - 17*c_1100_0^2 - 2*c_1100_0 + 1, c_0101_2 + 45*c_1100_0^5 + 177*c_1100_0^4 + 233*c_1100_0^3 + 183*c_1100_0^2 + 78*c_1100_0 + 12, c_1001_1 + 27*c_1100_0^5 + 99*c_1100_0^4 + 114*c_1100_0^3 + 82*c_1100_0^2 + 27*c_1100_0 + 2, c_1100_0^6 + 13/3*c_1100_0^5 + 61/9*c_1100_0^4 + 56/9*c_1100_0^3 + 31/9*c_1100_0^2 + c_1100_0 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB