Magma V2.19-8 Wed Aug 21 2013 01:02:42 on localhost [Seed = 4071942419] Type ? for help. Type -D to quit. Loading file "L14n15505__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15505 geometric_solution 11.74836712 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 7 0 -7 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 -0.073525949759 1.109148359377 0 5 2 6 0132 0132 1302 0132 0 1 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 0 1 -1 -7 0 7 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 0.501934322066 0.250007476405 1 0 8 7 2031 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 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 1 -1 0 -1 0 1 0 0 0 0 0 -7 -1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240674630274 0.570810766692 6 4 9 0 0132 0132 0132 0132 1 1 1 1 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 -7 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.264211568050 0.527866314115 5 3 0 10 0213 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.493035489494 0.899456766575 4 1 11 7 0213 0132 0132 1230 0 1 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 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 0.757843614082 0.759754537019 3 12 1 11 0132 0132 0132 0132 0 1 1 1 0 0 0 0 1 0 0 -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 1 -1 7 0 0 -7 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.276618634341 0.948170383568 5 8 2 9 3012 0132 0132 2310 1 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 0 0 0 0 0 0 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829508508080 1.903573428964 10 7 12 2 0213 0132 1023 0132 1 0 1 1 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 0 -1 1 1 0 0 -1 8 0 0 -8 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.163209794347 0.924401556862 7 12 10 3 3201 2310 0132 0132 1 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 0 0 0 0 0 0 0 8 0 -8 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 0.276618634341 0.948170383568 8 11 4 9 0213 2103 0132 0132 1 1 0 1 0 0 0 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 1 -1 0 -8 0 0 8 -1 1 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568630565653 1.392685985290 12 10 6 5 0321 2103 0132 0132 0 1 1 1 0 -1 0 1 -1 0 1 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 -7 0 7 0 0 -1 0 1 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508596963675 0.666642245741 11 6 8 9 0321 0132 1023 3201 0 1 1 1 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 -1 0 1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508596963675 0.666642245741 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_1001_0'], 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : negation(d['c_0101_11']), 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_1001_5'], 'c_1010_10' : negation(d['c_1001_5']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_7']), '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_12' : 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_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_9'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_11']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_7'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_0'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_1001_0'], 'c_1100_8' : d['c_0011_9'], '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'], 'c_1100_12' : negation(d['c_0011_9']), '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_12']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0101_2']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_12']), 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_2']), 'c_0101_8' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : negation(d['c_0011_7']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_11']})} 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_10, c_0011_11, c_0011_12, c_0011_7, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 2676/25*c_1001_5*c_1100_0^2 - 1456/5*c_1001_5*c_1100_0 - 2462/25*c_1001_5 + 2851/25*c_1100_0^2 + 1361/5*c_1100_0 + 412/25, c_0011_0 - 1, c_0011_10 - c_1001_5*c_1100_0^2 - 2*c_1001_5*c_1100_0, c_0011_11 + c_1001_5*c_1100_0^2 - c_1001_5 - c_1100_0^2, c_0011_12 + c_1001_5*c_1100_0^2 - c_1001_5 - c_1100_0^2 - c_1100_0, c_0011_7 + c_1001_5*c_1100_0 - c_1001_5 + 1, c_0011_9 + c_1001_5*c_1100_0^2 + 2*c_1001_5*c_1100_0 + c_1001_5 + c_1100_0, c_0101_0 + c_1100_0, c_0101_11 + c_1100_0^2 + c_1100_0, c_0101_2 + c_1001_5 + c_1100_0, c_0101_7 - 1, c_1001_0 + c_1100_0^2 + 2*c_1100_0 + 1, c_1001_5^2 - 2/7*c_1001_5*c_1100_0^2 - 1/7*c_1001_5*c_1100_0 - 5/7*c_1001_5 + 1/7*c_1100_0^2 - 3/7*c_1100_0 - 1/7, c_1100_0^3 + 3*c_1100_0^2 + 2*c_1100_0 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_7, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 318837/5092*c_1100_0^9 - 4826941/10184*c_1100_0^8 + 3992009/2546*c_1100_0^7 - 31512213/10184*c_1100_0^6 + 42282675/10184*c_1100_0^5 - 39850811/10184*c_1100_0^4 + 12613027/5092*c_1100_0^3 - 2298027/2546*c_1100_0^2 + 111843/2546*c_1100_0 + 111760/1273, c_0011_0 - 1, c_0011_10 - 969/67*c_1100_0^9 + 10319/134*c_1100_0^8 - 23585/134*c_1100_0^7 + 16422/67*c_1100_0^6 - 15354/67*c_1100_0^5 + 17169/134*c_1100_0^4 - 1913/67*c_1100_0^3 - 1729/134*c_1100_0^2 + 647/67*c_1100_0 + 366/67, c_0011_11 - 1059/67*c_1100_0^9 + 11489/134*c_1100_0^8 - 26631/134*c_1100_0^7 + 37365/134*c_1100_0^6 - 35209/134*c_1100_0^5 + 20041/134*c_1100_0^4 - 4847/134*c_1100_0^3 - 1661/134*c_1100_0^2 + 671/67*c_1100_0 + 389/67, c_0011_12 + 1059/67*c_1100_0^9 - 11489/134*c_1100_0^8 + 26631/134*c_1100_0^7 - 37365/134*c_1100_0^6 + 35209/134*c_1100_0^5 - 20041/134*c_1100_0^4 + 4847/134*c_1100_0^3 + 1661/134*c_1100_0^2 - 671/67*c_1100_0 - 389/67, c_0011_7 - 540/67*c_1100_0^9 + 2907/67*c_1100_0^8 - 13653/134*c_1100_0^7 + 9878/67*c_1100_0^6 - 19167/134*c_1100_0^5 + 11403/134*c_1100_0^4 - 3245/134*c_1100_0^3 - 332/67*c_1100_0^2 + 345/67*c_1100_0 + 205/67, c_0011_9 - 1224/67*c_1100_0^9 + 6348/67*c_1100_0^8 - 14254/67*c_1100_0^7 + 19728/67*c_1100_0^6 - 36571/134*c_1100_0^5 + 10230/67*c_1100_0^4 - 5055/134*c_1100_0^3 - 1581/134*c_1100_0^2 + 1095/134*c_1100_0 + 420/67, c_0101_0 + 150/67*c_1100_0^9 - 640/67*c_1100_0^8 + 2285/134*c_1100_0^7 - 1255/67*c_1100_0^6 + 1561/134*c_1100_0^5 - 119/134*c_1100_0^4 - 487/134*c_1100_0^3 + 122/67*c_1100_0^2 + 27/67*c_1100_0 - 83/67, c_0101_11 + 90/67*c_1100_0^9 - 585/67*c_1100_0^8 + 1523/67*c_1100_0^7 - 4521/134*c_1100_0^6 + 4501/134*c_1100_0^5 - 1436/67*c_1100_0^4 + 1021/134*c_1100_0^3 - 34/67*c_1100_0^2 - 24/67*c_1100_0 - 23/67, c_0101_2 + 1224/67*c_1100_0^9 - 6348/67*c_1100_0^8 + 14254/67*c_1100_0^7 - 19728/67*c_1100_0^6 + 36571/134*c_1100_0^5 - 10230/67*c_1100_0^4 + 5055/134*c_1100_0^3 + 1581/134*c_1100_0^2 - 1095/134*c_1100_0 - 420/67, c_0101_7 - 1, c_1001_0 - 24/67*c_1100_0^9 + 22/67*c_1100_0^8 + 112/67*c_1100_0^7 - 389/134*c_1100_0^6 + 119/67*c_1100_0^5 + 279/134*c_1100_0^4 - 777/134*c_1100_0^3 + 639/134*c_1100_0^2 - 141/67*c_1100_0 - 43/67, c_1001_5 - 1074/67*c_1100_0^9 + 5708/67*c_1100_0^8 - 26223/134*c_1100_0^7 + 18473/67*c_1100_0^6 - 17505/67*c_1100_0^5 + 20341/134*c_1100_0^4 - 2771/67*c_1100_0^3 - 1337/134*c_1100_0^2 + 1149/134*c_1100_0 + 337/67, c_1100_0^10 - 43/6*c_1100_0^9 + 22*c_1100_0^8 - 79/2*c_1100_0^7 + 142/3*c_1100_0^6 - 115/3*c_1100_0^5 + 56/3*c_1100_0^4 - 19/6*c_1100_0^3 - 2*c_1100_0^2 + 2/3*c_1100_0 + 2/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB