Magma V2.19-8 Wed Aug 21 2013 00:51:13 on localhost [Seed = 896737353] Type ? for help. Type -D to quit. Loading file "L11a203__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a203 geometric_solution 11.69278975 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 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 1 0 -1 0 0 0 0 1 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985877181313 0.498922261435 0 5 7 6 0132 0132 0132 0132 1 1 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 5 1 0 -6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425505767829 0.189052949717 8 0 9 8 0132 0132 0132 2103 1 0 1 1 0 0 0 0 1 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 -1 0 1 -2 0 1 1 0 -5 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842929326973 0.635089537443 6 6 10 0 0132 0321 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842929326973 0.635089537443 5 7 0 11 3120 3120 0132 0132 1 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 1 -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 0.088061138495 0.584499192277 12 1 12 4 0132 0132 3012 3120 1 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 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682538877374 1.070404301538 3 8 1 3 0132 2103 0132 0321 1 1 1 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 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366979050780 1.483819678877 11 4 9 1 3120 3120 2310 0132 1 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 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 0.734152529741 0.634222017100 2 6 10 2 0132 2103 1302 2103 1 0 1 1 0 0 -1 1 -1 0 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 5 -5 2 0 -1 -1 1 0 0 -1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842929326973 0.635089537443 10 7 10 2 1302 3201 0321 0132 1 0 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 1 -1 0 0 0 0 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366979050780 1.483819678877 8 9 9 3 2031 2031 0321 0132 1 1 1 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 0 0 0 -5 0 5 0 6 -6 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842929326973 0.635089537443 12 12 4 7 2031 2310 0132 3120 1 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 -1 1 0 -1 0 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 0.254672418815 0.858695547748 5 5 11 11 0132 1230 1302 3201 1 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 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 0.254672418815 0.858695547748 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_12' : d['c_0101_1'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0011_3']), 'c_1010_12' : d['c_0011_7'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0011_9'], 's_3_11' : d['1'], 's_0_11' : 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' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0011_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_2']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], '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_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_0011_4']), '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_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_1001_0']), 'c_1100_8' : d['c_0011_10'], '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' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_11']), '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' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_1'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : d['c_0011_7'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_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' : negation(d['c_0011_10']), 'c_0101_8' : negation(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_10']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_3'])})} 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_3, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 16*c_1001_2^5 - 18*c_1001_2^4 + 31*c_1001_2^3 + 45*c_1001_2^2 - 8*c_1001_2 - 17, c_0011_0 - 1, c_0011_10 - 2*c_1001_2^4 - c_1001_2^3 + 5*c_1001_2^2 + 3*c_1001_2 - 3, c_0011_11 + 4*c_1001_2^5 + 4*c_1001_2^4 - 7*c_1001_2^3 - 10*c_1001_2^2 + c_1001_2 + 3, c_0011_3 + 4*c_1001_2^5 - 9*c_1001_2^3 + 7*c_1001_2 - 3, c_0011_4 - 2*c_1001_2^5 - 3*c_1001_2^4 + 4*c_1001_2^3 + 8*c_1001_2^2 - c_1001_2 - 3, c_0011_7 + 2*c_1001_2^5 + c_1001_2^4 - 5*c_1001_2^3 - 3*c_1001_2^2 + 3*c_1001_2 + 1, c_0011_9 - 2*c_1001_2^5 - c_1001_2^4 + 5*c_1001_2^3 + 3*c_1001_2^2 - 3*c_1001_2 - 1, c_0101_0 + c_1001_2, c_0101_1 + c_1001_2, c_0101_2 - 1, c_0101_7 - 1, c_1001_0 - 2*c_1001_2^5 - c_1001_2^4 + 5*c_1001_2^3 + 3*c_1001_2^2 - 3*c_1001_2 - 1, c_1001_2^6 + 1/2*c_1001_2^5 - 5/2*c_1001_2^4 - 3/2*c_1001_2^3 + 2*c_1001_2^2 + 1/2*c_1001_2 - 1/2 ], 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_3, c_0011_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 465166/1390379*c_1001_2^9 + 938980/1390379*c_1001_2^8 - 1232155/1390379*c_1001_2^7 - 3415296/1390379*c_1001_2^6 + 1531074/1390379*c_1001_2^5 + 6673177/1390379*c_1001_2^4 - 10725/81787*c_1001_2^3 - 7665846/1390379*c_1001_2^2 - 175148/1390379*c_1001_2 + 5447694/1390379, c_0011_0 - 1, c_0011_10 - 54/283*c_1001_2^9 - 147/283*c_1001_2^8 + 142/283*c_1001_2^7 + 586/283*c_1001_2^6 - 104/283*c_1001_2^5 - 1168/283*c_1001_2^4 - 342/283*c_1001_2^3 + 1175/283*c_1001_2^2 + 446/283*c_1001_2 - 871/283, c_0011_11 - 380/283*c_1001_2^9 - 720/283*c_1001_2^8 + 1146/283*c_1001_2^7 + 2824/283*c_1001_2^6 - 1497/283*c_1001_2^5 - 5819/283*c_1001_2^4 + 46/283*c_1001_2^3 + 6581/283*c_1001_2^2 + 36/283*c_1001_2 - 4861/283, c_0011_3 - 147/283*c_1001_2^9 - 353/283*c_1001_2^8 + 418/283*c_1001_2^7 + 1438/283*c_1001_2^6 - 346/283*c_1001_2^5 - 2928/283*c_1001_2^4 - 648/283*c_1001_2^3 + 3120/283*c_1001_2^2 + 711/283*c_1001_2 - 2261/283, c_0011_4 + 3/283*c_1001_2^9 - 39/283*c_1001_2^8 + 55/283*c_1001_2^7 + 219/283*c_1001_2^6 - 120/283*c_1001_2^5 - 564/283*c_1001_2^4 + 19/283*c_1001_2^3 + 768/283*c_1001_2^2 + 101/283*c_1001_2 - 722/283, c_0011_7 - 371/283*c_1001_2^9 - 554/283*c_1001_2^8 + 1311/283*c_1001_2^7 + 2349/283*c_1001_2^6 - 2140/283*c_1001_2^5 - 5247/283*c_1001_2^4 + 1235/283*c_1001_2^3 + 6338/283*c_1001_2^2 - 793/283*c_1001_2 - 4480/283, c_0011_9 + 15/283*c_1001_2^9 + 88/283*c_1001_2^8 - 8/283*c_1001_2^7 - 320/283*c_1001_2^6 - 34/283*c_1001_2^5 + 576/283*c_1001_2^4 + 95/283*c_1001_2^3 - 688/283*c_1001_2^2 - 61/283*c_1001_2 + 635/283, c_0101_0 + c_1001_2, c_0101_1 - 63/283*c_1001_2^9 - 30/283*c_1001_2^8 + 260/283*c_1001_2^7 + 212/283*c_1001_2^6 - 593/283*c_1001_2^5 - 608/283*c_1001_2^4 + 733/283*c_1001_2^3 + 852/283*c_1001_2^2 - 706/283*c_1001_2 - 686/283, c_0101_2 - 1, c_0101_7 - 1, c_1001_0 + 15/283*c_1001_2^9 + 88/283*c_1001_2^8 - 8/283*c_1001_2^7 - 320/283*c_1001_2^6 - 34/283*c_1001_2^5 + 576/283*c_1001_2^4 + 95/283*c_1001_2^3 - 688/283*c_1001_2^2 - 61/283*c_1001_2 + 635/283, c_1001_2^10 + 3*c_1001_2^9 - c_1001_2^8 - 11*c_1001_2^7 - 4*c_1001_2^6 + 21*c_1001_2^5 + 17*c_1001_2^4 - 20*c_1001_2^3 - 21*c_1001_2^2 + 15*c_1001_2 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB