Magma V2.19-8 Tue Aug 20 2013 18:00:12 on localhost [Seed = 2513707347] Type ? for help. Type -D to quit. Loading file "11_200__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_200 geometric_solution 12.31245798 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 -1 1 -8 0 0 8 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290112466850 1.108450455742 0 5 7 6 0132 0132 0132 0132 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 -9 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 0.077749462544 0.529725716205 8 0 9 8 0132 0132 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.745167950136 0.705392589516 10 11 7 0 0132 0132 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.294137186049 1.359375727613 12 11 0 7 0132 2310 0132 3120 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 1 -1 0 -1 0 -8 9 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.319984730809 0.769534046657 10 1 6 12 2103 0132 2103 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.494642296296 1.115252538743 5 8 1 11 2103 3201 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782700266680 1.037232489955 4 9 3 1 3120 0132 3120 0132 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 0 0 0 -9 0 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.099530762939 1.324387522971 2 10 6 2 0132 2103 2310 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -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 0.745167950136 0.705392589516 12 7 12 2 2103 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.584216791804 0.766363250328 3 8 5 11 0132 2103 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.189040018304 0.991448814875 6 3 10 4 3120 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541130419225 0.879698465497 4 5 9 9 0132 0321 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546947649682 1.008122911908 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0011_0'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_6'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : d['c_0011_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_2']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_1001_1'], 'c_1010_11' : negation(d['c_1001_2']), 'c_1010_10' : d['c_1001_0'], 's_0_10' : negation(d['1']), 's_3_10' : 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' : d['c_0101_0'], '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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : d['c_0011_6'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : negation(d['c_0101_2']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_0011_12'], 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_6'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_1001_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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_0101_2']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_7']), 'c_0011_8' : d['c_0011_0'], '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' : 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_0011_7'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0101_1'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], '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' : d['c_0101_1'], 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_6']), 'c_0110_5' : negation(d['c_0011_12']), 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_7']})} 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_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1336553/3*c_1001_2^3 - 953012/3*c_1001_2^2 + 2399629/3*c_1001_2 - 4657618/3, c_0011_0 - 1, c_0011_10 + 2/3*c_1001_2^3 + 2/3*c_1001_2^2 + 5/3*c_1001_2 - 1/3, c_0011_12 + 2/3*c_1001_2^3 + 2/3*c_1001_2^2 + 5/3*c_1001_2 - 1/3, c_0011_6 + c_1001_2^3 + 2*c_1001_2 - 1, c_0011_7 - 7/3*c_1001_2^3 - 1/3*c_1001_2^2 - 16/3*c_1001_2 + 5/3, c_0101_0 - 1/3*c_1001_2^3 - 1/3*c_1001_2^2 - 1/3*c_1001_2 - 1/3, c_0101_1 - c_1001_2^3 - 2*c_1001_2 + 1, c_0101_11 - 8/3*c_1001_2^3 - 2/3*c_1001_2^2 - 20/3*c_1001_2 + 7/3, c_0101_2 + 1/3*c_1001_2^3 + 1/3*c_1001_2^2 + 1/3*c_1001_2 + 1/3, c_0101_7 - 2*c_1001_2^3 - c_1001_2^2 - 5*c_1001_2 + 2, c_1001_0 + 1/3*c_1001_2^3 + 1/3*c_1001_2^2 + 4/3*c_1001_2 + 1/3, c_1001_1 + 8/3*c_1001_2^3 + 2/3*c_1001_2^2 + 20/3*c_1001_2 - 7/3, c_1001_2^4 - c_1001_2^3 + 2*c_1001_2^2 - 4*c_1001_2 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 4071871/4971296*c_1001_2^7 + 1172843/19885184*c_1001_2^6 + 155661353/19885184*c_1001_2^5 + 100848101/9942592*c_1001_2^4 + 396524827/19885184*c_1001_2^3 + 160851875/9942592*c_1001_2^2 + 245103417/19885184*c_1001_2 - 57985207/4971296, c_0011_0 - 1, c_0011_10 - 493/974*c_1001_2^7 - 308/487*c_1001_2^6 - 4773/974*c_1001_2^5 - 11687/974*c_1001_2^4 - 19583/974*c_1001_2^3 - 24677/974*c_1001_2^2 - 21277/974*c_1001_2 - 3931/487, c_0011_12 + 1, c_0011_6 + 9/3896*c_1001_2^7 - 25/1948*c_1001_2^6 - 389/3896*c_1001_2^5 - 245/3896*c_1001_2^4 - 4959/3896*c_1001_2^3 - 4623/3896*c_1001_2^2 - 9723/3896*c_1001_2 - 1313/974, c_0011_7 - 23/974*c_1001_2^7 - 15/1948*c_1001_2^6 - 555/1948*c_1001_2^5 - 201/487*c_1001_2^4 - 2413/1948*c_1001_2^3 - 992/487*c_1001_2^2 - 3063/1948*c_1001_2 - 540/487, c_0101_0 + 639/3896*c_1001_2^7 + 165/487*c_1001_2^6 + 6471/3896*c_1001_2^5 + 19617/3896*c_1001_2^4 + 34589/3896*c_1001_2^3 + 43835/3896*c_1001_2^2 + 41141/3896*c_1001_2 + 4177/974, c_0101_1 - 145/3896*c_1001_2^7 + 6/487*c_1001_2^6 - 1633/3896*c_1001_2^5 - 1031/3896*c_1001_2^4 - 4843/3896*c_1001_2^3 - 2789/3896*c_1001_2^2 - 2763/3896*c_1001_2 + 267/974, c_0101_11 + 1131/3896*c_1001_2^7 + 148/487*c_1001_2^6 + 11179/3896*c_1001_2^5 + 24405/3896*c_1001_2^4 + 44009/3896*c_1001_2^3 + 52143/3896*c_1001_2^2 + 47265/3896*c_1001_2 + 4151/974, c_0101_2 + 77/1948*c_1001_2^7 - 49/1948*c_1001_2^6 + 311/974*c_1001_2^5 + 393/1948*c_1001_2^4 - 29/974*c_1001_2^3 - 917/1948*c_1001_2^2 - 870/487*c_1001_2 - 790/487, c_0101_7 + 305/3896*c_1001_2^7 + 235/1948*c_1001_2^6 + 3267/3896*c_1001_2^5 + 8147/3896*c_1001_2^4 + 15057/3896*c_1001_2^3 + 21249/3896*c_1001_2^2 + 18541/3896*c_1001_2 + 1823/974, c_1001_0 - 493/1948*c_1001_2^7 - 154/487*c_1001_2^6 - 4773/1948*c_1001_2^5 - 11687/1948*c_1001_2^4 - 19583/1948*c_1001_2^3 - 24677/1948*c_1001_2^2 - 20303/1948*c_1001_2 - 1722/487, c_1001_1 + 539/1948*c_1001_2^7 + 631/1948*c_1001_2^6 + 1332/487*c_1001_2^5 + 12491/1948*c_1001_2^4 + 5499/487*c_1001_2^3 + 28645/1948*c_1001_2^2 + 12657/974*c_1001_2 + 2749/487, c_1001_2^8 + 2*c_1001_2^7 + 11*c_1001_2^6 + 31*c_1001_2^5 + 61*c_1001_2^4 + 85*c_1001_2^3 + 89*c_1001_2^2 + 56*c_1001_2 + 16 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_7, c_1001_0, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 77837317369/404*c_1001_2^10 + 58742239131/404*c_1001_2^9 - 1917109123499/808*c_1001_2^8 + 4744792412611/808*c_1001_2^7 - 17205582666055/808*c_1001_2^6 + 29871788741573/808*c_1001_2^5 - 39996660582915/808*c_1001_2^4 + 33153729247297/808*c_1001_2^3 - 15061627545433/808*c_1001_2^2 + 3465617086769/808*c_1001_2 - 79297522673/202, c_0011_0 - 1, c_0011_10 + c_1001_2, c_0011_12 + 229703/404*c_1001_2^10 - 77399/202*c_1001_2^9 + 5641423/808*c_1001_2^8 - 1693803/101*c_1001_2^7 + 24894417/404*c_1001_2^6 - 42184703/404*c_1001_2^5 + 28032091/202*c_1001_2^4 - 45102577/404*c_1001_2^3 + 19501219/404*c_1001_2^2 - 1049154/101*c_1001_2 + 702435/808, c_0011_6 + 96419/404*c_1001_2^10 - 61037/404*c_1001_2^9 + 2365353/808*c_1001_2^8 - 5591997/808*c_1001_2^7 + 20698877/808*c_1001_2^6 - 34627883/808*c_1001_2^5 + 45883685/808*c_1001_2^4 - 36339211/808*c_1001_2^3 + 15337595/808*c_1001_2^2 - 3202675/808*c_1001_2 + 64789/202, c_0011_7 - 282803/808*c_1001_2^10 + 97047/404*c_1001_2^9 - 6947703/1616*c_1001_2^8 + 2096039/202*c_1001_2^7 - 15368559/404*c_1001_2^6 + 52284959/808*c_1001_2^5 - 69541543/808*c_1001_2^4 + 56196555/808*c_1001_2^3 - 12226449/404*c_1001_2^2 + 1325315/202*c_1001_2 - 893733/1616, c_0101_0 - 8747/808*c_1001_2^10 - 857/404*c_1001_2^9 - 209927/1616*c_1001_2^8 + 41361/202*c_1001_2^7 - 94519/101*c_1001_2^6 + 849563/808*c_1001_2^5 - 1004541/808*c_1001_2^4 + 260567/808*c_1001_2^3 + 29408/101*c_1001_2^2 - 17157/101*c_1001_2 + 36719/1616, c_0101_1 - 556647/808*c_1001_2^10 + 93139/202*c_1001_2^9 - 13668599/1616*c_1001_2^8 + 16387285/808*c_1001_2^7 - 60257793/808*c_1001_2^6 + 12745371/101*c_1001_2^5 - 16930296/101*c_1001_2^4 + 27188857/202*c_1001_2^3 - 46861759/808*c_1001_2^2 + 10032903/808*c_1001_2 - 1668227/1616, c_0101_11 - 37881/202*c_1001_2^10 + 13405/101*c_1001_2^9 - 931147/404*c_1001_2^8 + 566453/101*c_1001_2^7 - 8275193/404*c_1001_2^6 + 7084011/202*c_1001_2^5 - 18869983/404*c_1001_2^4 + 3840882/101*c_1001_2^3 - 6757163/404*c_1001_2^2 + 370541/101*c_1001_2 - 63109/202, c_0101_2 - 96419/404*c_1001_2^10 + 61037/404*c_1001_2^9 - 2365353/808*c_1001_2^8 + 5591997/808*c_1001_2^7 - 20698877/808*c_1001_2^6 + 34627883/808*c_1001_2^5 - 45883685/808*c_1001_2^4 + 36339211/808*c_1001_2^3 - 15337595/808*c_1001_2^2 + 3202675/808*c_1001_2 - 64789/202, c_0101_7 - 362095/808*c_1001_2^10 + 122197/404*c_1001_2^9 - 8892659/1616*c_1001_2^8 + 5342369/404*c_1001_2^7 - 19624519/404*c_1001_2^6 + 66530101/808*c_1001_2^5 - 88409619/808*c_1001_2^4 + 71138217/808*c_1001_2^3 - 15374641/404*c_1001_2^2 + 3304101/404*c_1001_2 - 1102833/1616, c_1001_0 - c_1001_2 + 1, c_1001_1 + 19887/202*c_1001_2^10 - 15479/202*c_1001_2^9 + 489635/404*c_1001_2^8 - 1223719/404*c_1001_2^7 + 2206917/202*c_1001_2^6 - 7715517/404*c_1001_2^5 + 5157185/202*c_1001_2^4 - 8593831/404*c_1001_2^3 + 1947549/202*c_1001_2^2 - 883297/404*c_1001_2 + 77655/404, c_1001_2^11 - c_1001_2^10 + 25/2*c_1001_2^9 - 67/2*c_1001_2^8 + 118*c_1001_2^7 - 219*c_1001_2^6 + 304*c_1001_2^5 - 276*c_1001_2^4 + 149*c_1001_2^3 - 46*c_1001_2^2 + 15/2*c_1001_2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.030 Total time: 3.229 seconds, Total memory usage: 64.12MB