Magma V2.19-8 Tue Aug 20 2013 17:56:23 on localhost [Seed = 3600245479] Type ? for help. Type -D to quit. Loading file "10^2_66__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_66 geometric_solution 11.45958725 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 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 0.826552048042 0.922810494919 0 5 7 6 0132 0132 0132 0132 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 -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 0.862677590585 0.673642601559 7 0 8 4 1230 0132 0132 0213 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 1 -1 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 0.340248039844 0.689440212541 7 9 9 0 0132 0132 0321 0132 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 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 0.196728084265 1.046669843927 9 10 0 2 0321 0132 0132 0213 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 1 -1 -1 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851408018869 0.554910228939 9 1 11 11 3012 0132 0132 3120 0 1 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 -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 0.730208021342 0.643079893120 10 8 1 11 2103 3201 0132 3012 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 0 0 0 0 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 0.093292016580 0.721015519516 3 2 10 1 0132 3012 2103 0132 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 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 0.639938024870 1.081523279274 11 10 6 2 1230 0321 2310 0132 1 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 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 0.790426505498 1.171978388280 4 3 3 5 0321 0132 0321 1230 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 -1 0 1 -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 0.196728084265 1.046669843927 7 4 6 8 2103 0132 2103 0321 1 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675648018375 0.537276296102 5 8 6 5 3120 3012 1230 0132 0 1 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 -1 1 -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 0.554740053951 1.322286067875 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_11']), 'c_1001_11' : negation(d['c_0011_8']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_1001_2'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : 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' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_0'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1001_0'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : d['c_0011_6'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : d['c_0101_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_5'], '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' : 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' : 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' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_1']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_0'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_0011_6']})} 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_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_8, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1541/56160*c_1001_2^3 - 2219/56160*c_1001_2^2 + 563/56160*c_1001_2 + 5867/56160, c_0011_0 - 1, c_0011_11 - 1/4*c_1001_2^3 - 1/2*c_1001_2^2 + 1/4*c_1001_2 - 1/2, c_0011_3 + c_1001_2, c_0011_6 + 1/4*c_1001_2^3 - 1/2*c_1001_2^2 - 1/4*c_1001_2 + 1/2, c_0011_8 + 1/4*c_1001_2^3 - 1/2*c_1001_2^2 - 1/4*c_1001_2 - 1/2, c_0101_0 + 1, c_0101_1 + c_1001_2 + 1, c_0101_11 - 1/4*c_1001_2^3 - 1/4*c_1001_2 - 1/2, c_0101_5 - 1, c_0101_8 - 1/2*c_1001_2^2 + 1/2*c_1001_2, c_1001_0 - 1, c_1001_2^4 - c_1001_2^3 + c_1001_2^2 + c_1001_2 + 6 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_5, c_0101_8, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 129/35*c_1001_2^5 - 6*c_1001_2^4 - 37/35*c_1001_2^3 - 37/35*c_1001_2^2 + 36/7*c_1001_2 - 128/35, c_0011_0 - 1, c_0011_11 - 4*c_1001_2^5 + 6*c_1001_2^4 - 8*c_1001_2^3 + 7*c_1001_2^2 - 11*c_1001_2 + 6, c_0011_3 + 4*c_1001_2^5 - 5*c_1001_2^4 + 8*c_1001_2^3 - 6*c_1001_2^2 + 11*c_1001_2 - 3, c_0011_6 + c_1001_2^5 - 2*c_1001_2^4 + 2*c_1001_2^3 - 2*c_1001_2^2 + 2*c_1001_2 - 2, c_0011_8 - 3*c_1001_2^5 + 5*c_1001_2^4 - 7*c_1001_2^3 + 6*c_1001_2^2 - 9*c_1001_2 + 5, c_0101_0 + 4*c_1001_2^5 - 5*c_1001_2^4 + 8*c_1001_2^3 - 6*c_1001_2^2 + 11*c_1001_2 - 4, c_0101_1 + 3*c_1001_2^5 - 4*c_1001_2^4 + 6*c_1001_2^3 - 5*c_1001_2^2 + 8*c_1001_2 - 3, c_0101_11 - c_1001_2^5 + 2*c_1001_2^4 - 3*c_1001_2^3 + 3*c_1001_2^2 - 4*c_1001_2 + 2, c_0101_5 - c_1001_2 + 1, c_0101_8 - 5*c_1001_2^5 + 8*c_1001_2^4 - 11*c_1001_2^3 + 10*c_1001_2^2 - 15*c_1001_2 + 9, c_1001_0 - 1, c_1001_2^6 - 2*c_1001_2^5 + 3*c_1001_2^4 - 3*c_1001_2^3 + 4*c_1001_2^2 - 3*c_1001_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.250 seconds, Total memory usage: 32.09MB