Magma V2.19-8 Tue Aug 20 2013 17:58:16 on localhost [Seed = 1747573808] Type ? for help. Type -D to quit. Loading file "10^2_59__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_59 geometric_solution 11.88523285 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 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 0 0 -1 1 -2 2 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 0 5 4 6 0132 0132 0213 0132 0 0 1 0 0 0 0 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 0 0 0 0 0 0 0 1 0 0 -1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250000000000 0.661437827766 5 0 8 7 0132 0132 0132 0132 0 0 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071193690391 0.833073786806 9 6 10 0 0132 0132 0132 0132 0 0 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 0 0 0 0 0 0 0 -1 0 0 1 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.322875655532 10 1 0 10 1302 0213 0132 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 2 1 9 8 0132 0132 0213 0321 0 0 0 1 0 0 0 0 0 0 0 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 0 0 0 0 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 0.101839048370 1.191670795605 7 3 1 10 0213 0132 0132 3120 0 0 0 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.250000000000 0.661437827766 6 9 2 11 0213 0213 0132 0132 0 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 -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 -0.071193690391 0.833073786806 11 5 12 2 1230 0321 0132 0132 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 1 1 0 -2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.806693095032 1.070312175810 3 5 7 11 0132 0213 0213 2310 0 0 0 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 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 0.928806309609 0.833073786806 6 4 4 3 3120 2031 1230 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750000000000 0.661437827766 9 8 7 12 3201 3012 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 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 0.806693095032 1.070312175810 12 12 11 8 1230 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.346065477523 0.717194017597 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0110_4']), 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_12']), 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0011_10']), 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(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' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : d['c_0110_4'], 'c_1100_7' : d['c_1100_11'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_0110_4'], 'c_1100_3' : d['c_0110_4'], 'c_1100_2' : d['c_1100_11'], 's_0_10' : negation(d['1']), 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : d['c_0110_4'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_10']), '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_1'], 'c_1010_9' : negation(d['c_0101_12']), 'c_1010_8' : d['c_1001_1'], 'c_1100_8' : d['c_1100_11'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_11'], 's_1_7' : negation(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' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0011_12'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0011_7'], 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : negation(d['c_0011_10']), 'c_0101_0' : d['c_0011_7'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0011_12'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0011_7'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : negation(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_3, c_0011_7, c_0101_10, c_0101_11, c_0101_12, c_0110_4, c_1001_0, c_1001_1, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/252*c_1100_11 - 1/126, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + c_1100_11 - 2, c_0011_12 - c_1100_11 + 3, c_0011_3 + 1, c_0011_7 + 1, c_0101_10 + 3, c_0101_11 - 2, c_0101_12 - c_1100_11 + 4, c_0110_4 - 1, c_1001_0 + 1, c_1001_1 - 2, c_1100_11^2 - 5*c_1100_11 + 7 ], 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_3, c_0011_7, c_0101_10, c_0101_11, c_0101_12, c_0110_4, c_1001_0, c_1001_1, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + 323/15360*c_1100_11^2 - 1361/15360*c_1100_11 + 2317/15360, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - c_1100_11 + 2, c_0011_12 + c_1100_11^2 - 4*c_1100_11 + 4, c_0011_3 + 1, c_0011_7 - 1, c_0101_10 - 3, c_0101_11 - 2, c_0101_12 - c_1100_11 + 4, c_0110_4 + 1, c_1001_0 - 1, c_1001_1 - 2, c_1100_11^3 - 7*c_1100_11^2 + 19*c_1100_11 - 20 ], 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_3, c_0011_7, c_0101_10, c_0101_11, c_0101_12, c_0110_4, c_1001_0, c_1001_1, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 41/6321*c_1100_11^3 + 11/4214*c_1100_11^2 + 1175/25284*c_1100_11 - 124/903, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 40/301*c_1100_11^3 - 72/301*c_1100_11^2 + 59/301*c_1100_11 - 14/43, c_0011_12 + 60/301*c_1100_11^3 - 108/301*c_1100_11^2 + 239/301*c_1100_11 - 21/43, c_0011_3 - 1, c_0011_7 + 1, c_0101_10 - 40/301*c_1100_11^3 + 72/301*c_1100_11^2 - 360/301*c_1100_11 - 29/43, c_0101_11 + 40/301*c_1100_11^3 - 72/301*c_1100_11^2 + 360/301*c_1100_11 - 14/43, c_0101_12 + 80/301*c_1100_11^3 - 144/301*c_1100_11^2 + 419/301*c_1100_11 - 28/43, c_0110_4 + 40/301*c_1100_11^3 - 72/301*c_1100_11^2 + 360/301*c_1100_11 - 57/43, c_1001_0 - 1, c_1001_1 + 40/301*c_1100_11^3 - 72/301*c_1100_11^2 + 360/301*c_1100_11 - 14/43, c_1100_11^4 - 5/2*c_1100_11^3 + 29/4*c_1100_11^2 - 35/4*c_1100_11 + 49/4 ], 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_3, c_0011_7, c_0101_10, c_0101_11, c_0101_12, c_0110_4, c_1001_0, c_1001_1, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 796793/193395200*c_1100_11^5 + 7121369/386790400*c_1100_11^4 - 33422327/773580800*c_1100_11^3 + 46919641/773580800*c_1100_11^2 - 119168237/773580800*c_1100_11 + 27531019/77358080, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 2722/75545*c_1100_11^5 + 7187/75545*c_1100_11^4 - 49661/151090*c_1100_11^3 + 83593/151090*c_1100_11^2 - 75811/151090*c_1100_11 + 11260/15109, c_0011_12 + 324/75545*c_1100_11^5 - 5074/75545*c_1100_11^4 - 9589/75545*c_1100_11^3 + 7292/75545*c_1100_11^2 - 50329/75545*c_1100_11 + 880/15109, c_0011_3 - 1, c_0011_7 - 1, c_0101_10 + 2722/75545*c_1100_11^5 - 7187/75545*c_1100_11^4 + 49661/151090*c_1100_11^3 - 83593/151090*c_1100_11^2 + 226901/151090*c_1100_11 + 3849/15109, c_0101_11 + 2722/75545*c_1100_11^5 - 7187/75545*c_1100_11^4 + 49661/151090*c_1100_11^3 - 83593/151090*c_1100_11^2 + 226901/151090*c_1100_11 - 11260/15109, c_0101_12 + 5444/75545*c_1100_11^5 - 14374/75545*c_1100_11^4 + 49661/75545*c_1100_11^3 - 83593/75545*c_1100_11^2 + 151356/75545*c_1100_11 - 22520/15109, c_0110_4 - 2722/75545*c_1100_11^5 + 7187/75545*c_1100_11^4 - 49661/151090*c_1100_11^3 + 83593/151090*c_1100_11^2 - 226901/151090*c_1100_11 + 26369/15109, c_1001_0 + 1, c_1001_1 + 2722/75545*c_1100_11^5 - 7187/75545*c_1100_11^4 + 49661/151090*c_1100_11^3 - 83593/151090*c_1100_11^2 + 226901/151090*c_1100_11 - 11260/15109, c_1100_11^6 - 7/2*c_1100_11^5 + 41/4*c_1100_11^4 - 83/4*c_1100_11^3 + 151/4*c_1100_11^2 - 95/2*c_1100_11 + 50 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.270 seconds, Total memory usage: 32.09MB