Magma V2.19-8 Tue Aug 20 2013 17:56:26 on localhost [Seed = 4054861260] Type ? for help. Type -D to quit. Loading file "9^2_20__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_20 geometric_solution 9.12441551 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 0 0 1 2 1302 2031 0132 0132 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 -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 0.319991999402 1.363588873338 3 4 5 0 0132 0132 0132 0132 0 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 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345403613978 0.592308939161 6 3 0 5 0132 3201 0132 0132 0 0 1 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 1 -3 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 -0.620739119971 1.121221639699 1 7 2 7 0132 0132 2310 1230 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 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.260631708919 0.938009645943 5 1 8 6 0321 0132 0132 1302 0 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 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 -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 0.590419425167 0.425350245735 4 9 2 1 0321 0132 0132 0132 0 0 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 2 -2 0 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.203225039716 0.786664791615 2 7 4 8 0132 0321 2031 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.029972781693 0.822721164473 3 3 9 6 3012 0132 3201 0321 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 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 0.518299336682 0.657547507999 9 6 9 4 2103 2310 0132 0132 0 1 0 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 2 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 0.509791107568 0.735501133815 7 5 8 8 2310 0132 2103 0132 0 1 1 1 0 1 0 -1 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 -2 -1 3 1 0 -2 1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.627453989082 0.941421356305 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0011_8'], 'c_1001_8' : negation(d['c_1001_3']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['1'], 'c_1100_9' : negation(d['c_0101_4']), 'c_1100_8' : negation(d['c_0101_4']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0101_4']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0011_8']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_1100_0'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_0011_8'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_1001_3']), 'c_1010_8' : negation(d['c_0101_2']), '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'], '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' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_2'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : negation(d['c_0101_7']), 'c_0101_8' : negation(d['c_0101_7']), 'c_0110_9' : negation(d['c_0101_7']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0011_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0011_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0011_2'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_2, c_0011_5, c_0011_8, c_0101_2, c_0101_4, c_0101_7, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1351268790/130335571*c_1100_0^7 - 5325876656/130335571*c_1100_0^6 - 18529417741/130335571*c_1100_0^5 - 26922991605/130335571*c_1100_0^4 - 2450951675/130335571*c_1100_0^3 - 11940282386/130335571*c_1100_0^2 + 91291953264/130335571*c_1100_0 - 53227998577/130335571, c_0011_0 - 1, c_0011_1 - 1, c_0011_2 - 783214/3522583*c_1100_0^7 - 2918060/3522583*c_1100_0^6 - 9881875/3522583*c_1100_0^5 - 12300754/3522583*c_1100_0^4 + 5434544/3522583*c_1100_0^3 - 347896/3522583*c_1100_0^2 + 59620819/3522583*c_1100_0 - 39518786/3522583, c_0011_5 - 455352/3522583*c_1100_0^7 - 1636512/3522583*c_1100_0^6 - 5582895/3522583*c_1100_0^5 - 6647495/3522583*c_1100_0^4 + 3594421/3522583*c_1100_0^3 - 380089/3522583*c_1100_0^2 + 36079443/3522583*c_1100_0 - 24435897/3522583, c_0011_8 - 70975/3522583*c_1100_0^7 - 349026/3522583*c_1100_0^6 - 1269999/3522583*c_1100_0^5 - 2448109/3522583*c_1100_0^4 - 1757103/3522583*c_1100_0^3 - 830480/3522583*c_1100_0^2 + 2690334/3522583*c_1100_0 - 1060718/3522583, c_0101_2 - 70975/3522583*c_1100_0^7 - 349026/3522583*c_1100_0^6 - 1269999/3522583*c_1100_0^5 - 2448109/3522583*c_1100_0^4 - 1757103/3522583*c_1100_0^3 - 830480/3522583*c_1100_0^2 + 6212917/3522583*c_1100_0 - 1060718/3522583, c_0101_4 - 252784/3522583*c_1100_0^7 - 885842/3522583*c_1100_0^6 - 2882804/3522583*c_1100_0^5 - 3053403/3522583*c_1100_0^4 + 3303092/3522583*c_1100_0^3 - 15190/3522583*c_1100_0^2 + 18799302/3522583*c_1100_0 - 13498685/3522583, c_0101_7 - 587836/3522583*c_1100_0^7 - 2284391/3522583*c_1100_0^6 - 7838020/3522583*c_1100_0^5 - 10754047/3522583*c_1100_0^4 + 1164200/3522583*c_1100_0^3 - 1773204/3522583*c_1100_0^2 + 41897534/3522583*c_1100_0 - 24254966/3522583, c_1001_3 - 195378/3522583*c_1100_0^7 - 633669/3522583*c_1100_0^6 - 2043855/3522583*c_1100_0^5 - 1546707/3522583*c_1100_0^4 + 4270344/3522583*c_1100_0^3 + 1425308/3522583*c_1100_0^2 + 17723285/3522583*c_1100_0 - 15263820/3522583, c_1100_0^8 + 3*c_1100_0^7 + 10*c_1100_0^6 + 7*c_1100_0^5 - 17*c_1100_0^4 + 7*c_1100_0^3 - 76*c_1100_0^2 + 103*c_1100_0 - 37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB