Magma V2.19-8 Tue Aug 20 2013 23:52:17 on localhost [Seed = 1613105993] Type ? for help. Type -D to quit. Loading file "L13n220__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n220 geometric_solution 11.12854463 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 1 1 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 1 0 -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 0.149945712928 0.998991164727 0 5 7 6 0132 0132 0132 0132 1 0 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 -1 0 0 1 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.530573259606 0.980204738560 8 0 5 7 0132 0132 0132 3120 1 0 1 1 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 -1 0 1 0 0 0 0 0 1 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501125262141 0.607402609718 9 10 11 0 0132 0132 0132 0132 1 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 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 -0.482895568156 1.129109475880 10 7 0 11 2103 0132 0132 0132 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 -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 -0.126685807934 0.650221318844 9 1 10 2 2103 0132 0132 0132 1 0 1 1 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612994706594 0.797603818804 8 11 1 9 3120 0132 0132 2103 1 0 1 1 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 -2 -1 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297537142370 0.596276736641 2 4 11 1 3120 0132 2103 0132 1 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 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.288685300830 1.481691912438 2 9 10 6 0132 2103 2103 3120 1 0 1 1 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 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473711484417 0.462785142598 3 8 5 6 0132 2103 2103 2103 1 0 1 1 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 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.153283904555 0.589943847877 8 3 4 5 2103 0132 2103 0132 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 0 0 0 0.282533113621 1.230402624262 7 6 4 3 2103 0132 0132 0132 1 0 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 -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 0.526630703077 1.096989074599 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : d['c_0011_4'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_0011_10'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_3_10' : 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_1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(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' : negation(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_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_11']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : negation(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'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_0'], 'c_0101_7' : d['c_0101_11'], '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_3'], '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_0'], 'c_0101_8' : d['c_0101_1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], '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' : d['c_0101_1'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_0'])})} 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_11, c_0011_4, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_1001_1, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 240864237/63844648400*c_1100_0^7 - 1554976273/63844648400*c_1100_0^6 - 452714193/6384464840*c_1100_0^5 - 1139038137/7980581050*c_1100_0^4 - 5711200643/15961162100*c_1100_0^3 - 1480919262/3990290525*c_1100_0^2 + 4950631827/63844648400*c_1100_0 + 21435085183/63844648400, c_0011_0 - 1, c_0011_10 + 2315/247364*c_1100_0^7 - 2065/123682*c_1100_0^6 + 2716/61841*c_1100_0^5 - 4779/61841*c_1100_0^4 - 9208/61841*c_1100_0^3 + 20981/123682*c_1100_0^2 + 77715/247364*c_1100_0 - 28577/61841, c_0011_11 - 4101/123682*c_1100_0^7 - 297/123682*c_1100_0^6 + 181/61841*c_1100_0^5 - 5988/61841*c_1100_0^4 + 13230/61841*c_1100_0^3 + 9340/61841*c_1100_0^2 - 98403/123682*c_1100_0 - 173439/123682, c_0011_4 + 9655/247364*c_1100_0^7 + 7485/247364*c_1100_0^6 + 1685/123682*c_1100_0^5 + 4244/61841*c_1100_0^4 - 3676/61841*c_1100_0^3 - 62357/123682*c_1100_0^2 + 92517/247364*c_1100_0 + 548115/247364, c_0101_0 - 1, c_0101_1 + 1047/19028*c_1100_0^7 + 206/4757*c_1100_0^6 - 171/4757*c_1100_0^5 + 138/4757*c_1100_0^4 - 1487/4757*c_1100_0^3 - 8791/9514*c_1100_0^2 + 26271/19028*c_1100_0 + 34603/9514, c_0101_11 - 175/9514*c_1100_0^7 + 347/19028*c_1100_0^6 + 237/9514*c_1100_0^5 - 346/4757*c_1100_0^4 + 488/4757*c_1100_0^3 + 438/4757*c_1100_0^2 - 4833/4757*c_1100_0 - 5229/19028, c_0101_2 - 1, c_0101_3 + 809/19028*c_1100_0^7 - 68/4757*c_1100_0^6 + 195/4757*c_1100_0^5 + 93/4757*c_1100_0^4 - 1726/4757*c_1100_0^3 + 177/9514*c_1100_0^2 + 21117/19028*c_1100_0 + 8945/9514, c_1001_1 - 11405/247364*c_1100_0^7 - 10507/247364*c_1100_0^6 - 5257/123682*c_1100_0^5 - 5974/61841*c_1100_0^4 + 20387/61841*c_1100_0^3 + 85765/123682*c_1100_0^2 - 236747/247364*c_1100_0 - 731241/247364, c_1001_3 - 15955/247364*c_1100_0^7 - 1499/61841*c_1100_0^6 - 1088/61841*c_1100_0^5 - 10472/61841*c_1100_0^4 + 26731/61841*c_1100_0^3 + 97153/123682*c_1100_0^2 - 488063/247364*c_1100_0 - 399609/123682, c_1100_0^8 + 2*c_1100_0^7 + c_1100_0^6 + 2*c_1100_0^5 - 4*c_1100_0^4 - 22*c_1100_0^3 + 5*c_1100_0^2 + 90*c_1100_0 + 89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB