Magma V2.19-8 Tue Aug 20 2013 23:44:22 on localhost [Seed = 762005673] Type ? for help. Type -D to quit. Loading file "L14n32833__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32833 geometric_solution 9.51968946 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 0213 0 1 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 0 1 -1 0 0 -2 2 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747928699902 0.873165142546 0 4 5 4 0132 0132 0132 1023 1 1 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 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 0 0 0 0 1.015629588364 1.476377982254 6 0 5 0 0132 0132 3120 0213 0 1 1 1 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 -1 1 0 0 0 0 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.747928699902 0.873165142546 6 7 7 0 1302 0132 0321 0132 0 1 1 1 0 -1 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 -2 3 -1 1 0 -3 2 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.080523098377 0.759412314831 8 1 8 1 0132 0132 1023 1023 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587624777167 0.329035051399 9 9 2 1 0132 1302 3120 0132 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.138227579999 0.923270518931 2 3 9 10 0132 2031 0321 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 1 -1 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662942638986 0.987108155403 10 3 3 9 1230 0132 0321 2031 0 1 1 1 0 1 -1 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 2 -3 1 0 0 -1 1 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.080523098377 0.759412314831 4 10 4 10 0132 1302 1023 3120 1 1 1 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 0 0 0 2 0 -2 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706427277624 0.294176172213 5 7 6 5 0132 1302 0321 2031 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 -1 1 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 0.529903457789 0.429829894349 8 7 6 8 3120 3012 0132 2031 1 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 2 0 -2 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 0.261981377230 0.384516135762 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_10' : d['c_0011_3'], 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_0']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0101_4'], 'c_1010_10' : negation(d['c_0011_0']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_2_10' : negation(d['1']), 's_0_8' : negation(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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_10']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_0011_5']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_0'], 'c_1100_3' : d['c_1001_0'], 'c_1100_2' : negation(d['c_0101_5']), 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0101_0'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_10' : d['c_0101_4'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_4'], '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_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_5, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 315/1261*c_0101_8^5 + 1265/679*c_0101_8^4 + 57465/8827*c_0101_8^3 + 106221/8827*c_0101_8^2 + 97586/8827*c_0101_8 + 28985/8827, c_0011_0 - 1, c_0011_10 + 23/679*c_0101_8^5 + 51/679*c_0101_8^4 + 57/679*c_0101_8^3 - 356/679*c_0101_8^2 - 205/679*c_0101_8 + 1/679, c_0011_3 - 80/679*c_0101_8^5 - 325/679*c_0101_8^4 - 523/679*c_0101_8^3 + 205/679*c_0101_8^2 + 654/679*c_0101_8 - 33/679, c_0011_5 - 2/97*c_0101_8^5 + 4/97*c_0101_8^4 + 33/97*c_0101_8^3 + 90/97*c_0101_8^2 + 60/97*c_0101_8 - 76/97, c_0101_0 + 57/679*c_0101_8^5 + 274/679*c_0101_8^4 + 466/679*c_0101_8^3 + 151/679*c_0101_8^2 - 449/679*c_0101_8 + 711/679, c_0101_1 + 66/679*c_0101_8^5 + 353/679*c_0101_8^4 + 754/679*c_0101_8^3 + 425/679*c_0101_8^2 - 234/679*c_0101_8 + 859/679, c_0101_10 - 23/679*c_0101_8^5 - 51/679*c_0101_8^4 - 57/679*c_0101_8^3 - 323/679*c_0101_8^2 - 474/679*c_0101_8 - 1/679, c_0101_4 + 11/679*c_0101_8^5 + 172/679*c_0101_8^4 + 352/679*c_0101_8^3 + 184/679*c_0101_8^2 - 718/679*c_0101_8 + 30/679, c_0101_5 - 41/679*c_0101_8^5 - 209/679*c_0101_8^4 - 633/679*c_0101_8^3 - 871/679*c_0101_8^2 - 225/679*c_0101_8 + 382/679, c_0101_8^6 + 6*c_0101_8^5 + 16*c_0101_8^4 + 17*c_0101_8^3 - 2*c_0101_8^2 - 8*c_0101_8 + 13, c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB