Magma V2.19-8 Wed Aug 21 2013 00:51:57 on localhost [Seed = 104862540] Type ? for help. Type -D to quit. Loading file "L11n364__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n364 geometric_solution 12.22891805 oriented_manifold CS_known -0.0000000000000007 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 0321 1 0 2 2 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 0 -1 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 0.402449487580 0.870509900823 0 4 6 5 0132 0132 0132 0132 1 0 2 2 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 -1 -1 2 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 0.382030742248 0.542018720297 7 0 8 8 0132 0132 0213 0132 1 0 2 2 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 -1 1 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 0.402449487580 0.870509900823 9 0 6 0 0132 0321 0321 0132 1 0 2 0 0 0 0 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 1 -1 0 -1 0 0 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 0.562437465629 0.946460438278 10 1 10 5 0132 0132 0321 0321 1 2 2 2 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 1 -1 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 0.786472460229 1.361611996916 9 4 1 6 2103 0321 0132 0321 1 0 2 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 -2 2 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 1.232612113795 0.868781285781 11 5 3 1 0132 0321 0321 0132 1 0 2 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 -2 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 1.000000000000 1.000000000000 2 10 11 12 0132 0132 0213 0132 1 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 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 0.382030742248 0.542018720297 9 2 2 11 3120 0213 0132 0213 1 0 0 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 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 0.535989876320 0.780828539813 3 12 5 8 0132 3012 2103 3120 2 0 0 2 0 0 0 0 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 0 0 0 1 0 0 -1 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382275850276 1.070870337092 4 7 4 12 0132 0132 0321 0321 1 2 2 2 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 1 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 0.786472460229 1.361611996916 6 7 12 8 0132 0213 0132 0213 1 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.500000000000 9 10 7 11 1230 0321 0132 0132 1 0 2 2 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.232612113795 0.868781285781 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_1010_11'], 'c_1010_10' : d['c_1001_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : d['c_0011_12'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : 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_1100_8' : d['c_1010_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_1010_11'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_3'], 'c_1100_3' : d['c_1001_3'], 'c_1100_2' : d['c_1010_11'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1010_11'], 'c_1100_10' : d['c_1001_10'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_10'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : negation(d['c_0011_8']), 'c_1010_8' : d['c_1010_11'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1010_11'], '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), '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' : negation(d['c_0101_3']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_3']), 'c_0101_12' : d['c_0011_8'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_8'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0011_8'], 'c_0110_6' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_12, c_0011_3, c_0011_8, c_0101_0, c_0101_3, c_1001_0, c_1001_1, c_1001_10, c_1001_11, c_1001_3, c_1010_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 283453/317992*c_1010_11^7 + 1441089/317992*c_1010_11^6 + 3229937/317992*c_1010_11^5 + 2068795/317992*c_1010_11^4 + 2616581/635984*c_1010_11^3 + 8357297/635984*c_1010_11^2 + 5327671/317992*c_1010_11 + 730753/158996, c_0011_0 - 1, c_0011_11 + 11693/158996*c_1010_11^7 + 11012/39749*c_1010_11^6 + 77015/158996*c_1010_11^5 + 199/39749*c_1010_11^4 + 224113/317992*c_1010_11^3 + 60777/79498*c_1010_11^2 + 1066/39749*c_1010_11 + 6734/39749, c_0011_12 - 12759/158996*c_1010_11^7 - 27523/79498*c_1010_11^6 - 88027/158996*c_1010_11^5 + 20081/79498*c_1010_11^4 + 70089/317992*c_1010_11^3 - 176525/158996*c_1010_11^2 - 26351/158996*c_1010_11 + 43942/39749, c_0011_3 - 681/39749*c_1010_11^7 - 1209/39749*c_1010_11^6 + 199/39749*c_1010_11^5 + 9013/39749*c_1010_11^4 - 9381/79498*c_1010_11^3 + 46551/79498*c_1010_11^2 + 6734/39749*c_1010_11 + 16363/39749, c_0011_8 - 11693/158996*c_1010_11^7 - 11012/39749*c_1010_11^6 - 77015/158996*c_1010_11^5 - 199/39749*c_1010_11^4 - 224113/317992*c_1010_11^3 - 60777/79498*c_1010_11^2 - 40815/39749*c_1010_11 - 6734/39749, c_0101_0 - 1, c_0101_3 + c_1010_11^2, c_1001_0 - 1, c_1001_1 + 9629/317992*c_1010_11^7 + 33675/158996*c_1010_11^6 + 165171/317992*c_1010_11^5 + 76219/158996*c_1010_11^4 - 15847/635984*c_1010_11^3 + 377185/317992*c_1010_11^2 + 57339/158996*c_1010_11 - 5668/39749, c_1001_10 - 3233/317992*c_1010_11^7 - 681/158996*c_1010_11^6 + 59897/317992*c_1010_11^5 + 118899/158996*c_1010_11^4 + 476579/635984*c_1010_11^3 - 47359/317992*c_1010_11^2 + 48671/158996*c_1010_11 + 52385/39749, c_1001_11 + 9629/317992*c_1010_11^7 + 33675/158996*c_1010_11^6 + 165171/317992*c_1010_11^5 + 76219/158996*c_1010_11^4 - 15847/635984*c_1010_11^3 + 377185/317992*c_1010_11^2 + 57339/158996*c_1010_11 - 5668/39749, c_1001_3 - 681/39749*c_1010_11^7 - 1209/39749*c_1010_11^6 + 199/39749*c_1010_11^5 + 9013/39749*c_1010_11^4 - 9381/79498*c_1010_11^3 + 46551/79498*c_1010_11^2 + 6734/39749*c_1010_11 - 23386/39749, c_1010_11^8 + 4*c_1010_11^7 + 7*c_1010_11^6 + 13/2*c_1010_11^4 + 12*c_1010_11^3 + 6*c_1010_11^2 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB