Magma V2.19-8 Tue Aug 20 2013 23:48:37 on localhost [Seed = 745162380] Type ? for help. Type -D to quit. Loading file "L11n94__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n94 geometric_solution 11.12854463 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 1 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 -1 0 1 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 0.530573259606 0.980204738560 0 5 7 6 0132 0132 0132 0132 0 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 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 0.612994706594 0.797603818804 7 0 9 8 0132 0132 0132 0132 0 1 1 1 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 1 -1 0 0 0 0 0 -7 1 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149945712928 0.998991164727 10 11 5 0 0132 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297537142370 0.596276736641 9 6 0 10 0132 0321 0132 0321 0 1 1 1 0 1 -2 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 -1 1 0 0 1 -1 0 -6 0 6 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288685300830 1.481691912438 11 1 8 3 0321 0132 0213 0132 0 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 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 0.587424895102 1.587878033427 8 11 1 4 0132 0213 0132 0321 0 1 1 1 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 0 0 0 0 0 -1 1 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.282533113621 1.230402624262 2 11 9 1 0132 0321 0213 0132 0 1 1 1 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 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501125262141 0.607402609718 6 5 2 10 0132 0213 0132 0132 0 1 1 1 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 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.482895568156 1.129109475880 4 7 10 2 0132 0213 0132 0132 0 1 1 1 0 0 -1 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 -1 1 0 0 0 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.126685807934 0.650221318844 3 4 8 9 0132 0321 0132 0132 0 1 1 1 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 0 0 0 -1 0 1 0 0 0 0 -1 -6 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.526630703077 1.096989074599 5 3 6 7 0321 0132 0213 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.071544025101 0.942248671163 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_4']), 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_7'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(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' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1001_10'], 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_1001_2'], 'c_1100_6' : d['c_1001_2'], 'c_1100_1' : d['c_1001_2'], 'c_1100_0' : d['c_1001_10'], 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : d['c_1100_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_7'], 'c_1100_10' : d['c_1100_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_7'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_10'], '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' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_4']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : d['c_1100_10']})} 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_4, c_0011_6, c_0101_0, c_0101_1, c_1001_0, c_1001_1, c_1001_10, c_1001_2, c_1001_7, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 240864237/63844648400*c_1100_10^7 + 1554976273/63844648400*c_1100_10^6 - 452714193/6384464840*c_1100_10^5 + 1139038137/7980581050*c_1100_10^4 - 5711200643/15961162100*c_1100_10^3 + 1480919262/3990290525*c_1100_10^2 + 4950631827/63844648400*c_1100_10 - 21435085183/63844648400, c_0011_0 - 1, c_0011_10 - 4101/123682*c_1100_10^7 + 297/123682*c_1100_10^6 + 181/61841*c_1100_10^5 + 5988/61841*c_1100_10^4 + 13230/61841*c_1100_10^3 - 9340/61841*c_1100_10^2 - 98403/123682*c_1100_10 + 173439/123682, c_0011_4 + 4101/247364*c_1100_10^7 - 297/247364*c_1100_10^6 - 181/123682*c_1100_10^5 - 2994/61841*c_1100_10^4 - 6615/61841*c_1100_10^3 + 71181/123682*c_1100_10^2 + 98403/247364*c_1100_10 - 173439/247364, c_0011_6 + 8415/123682*c_1100_10^7 - 7507/247364*c_1100_10^6 + 1981/61841*c_1100_10^5 - 11337/61841*c_1100_10^4 - 70173/123682*c_1100_10^3 + 108857/123682*c_1100_10^2 + 109124/61841*c_1100_10 - 890781/247364, c_0101_0 + 1412/61841*c_1100_10^7 - 7421/247364*c_1100_10^6 - 4939/123682*c_1100_10^5 - 6573/123682*c_1100_10^4 - 10123/123682*c_1100_10^3 + 33816/61841*c_1100_10^2 + 32976/61841*c_1100_10 - 630675/247364, c_0101_1 - 11405/247364*c_1100_10^7 + 10507/247364*c_1100_10^6 - 5257/123682*c_1100_10^5 + 5974/61841*c_1100_10^4 + 20387/61841*c_1100_10^3 - 85765/123682*c_1100_10^2 - 236747/247364*c_1100_10 + 731241/247364, c_1001_0 - 1, c_1001_1 + 405/9514*c_1100_10^7 - 173/4757*c_1100_10^6 + 267/9514*c_1100_10^5 - 393/4757*c_1100_10^4 - 1851/9514*c_1100_10^3 + 5697/9514*c_1100_10^2 + 11089/9514*c_1100_10 - 24603/9514, c_1001_10 - 809/19028*c_1100_10^7 - 68/4757*c_1100_10^6 - 195/4757*c_1100_10^5 + 93/4757*c_1100_10^4 + 1726/4757*c_1100_10^3 + 177/9514*c_1100_10^2 - 21117/19028*c_1100_10 + 8945/9514, c_1001_2 + 175/9514*c_1100_10^7 + 347/19028*c_1100_10^6 - 237/9514*c_1100_10^5 - 346/4757*c_1100_10^4 - 488/4757*c_1100_10^3 + 438/4757*c_1100_10^2 + 4833/4757*c_1100_10 - 5229/19028, c_1001_7 - 1047/19028*c_1100_10^7 + 206/4757*c_1100_10^6 + 171/4757*c_1100_10^5 + 138/4757*c_1100_10^4 + 1487/4757*c_1100_10^3 - 8791/9514*c_1100_10^2 - 26271/19028*c_1100_10 + 34603/9514, c_1100_10^8 - 2*c_1100_10^7 + c_1100_10^6 - 2*c_1100_10^5 - 4*c_1100_10^4 + 22*c_1100_10^3 + 5*c_1100_10^2 - 90*c_1100_10 + 89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB