Magma V2.19-8 Tue Aug 20 2013 17:57:07 on localhost [Seed = 2050739830] Type ? for help. Type -D to quit. Loading file "11_51__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_51 geometric_solution 11.21911773 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 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 -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 0.764343162810 0.758992665933 0 5 7 6 0132 0132 0132 0132 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 1 -1 0 0 0 0 0 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.007697655287 1.101494544197 7 0 9 8 1230 0132 0132 0132 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 0 0 0 0.598016334450 0.593873405867 4 5 8 0 3120 0213 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 0 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 0.415957662465 0.668581038789 10 6 0 3 0132 2310 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.922182888672 0.495051561459 7 1 3 11 2103 0132 0213 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 -1 1 0 0 0 0 0 1 2 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.044871350140 1.310638080018 10 9 1 4 2103 2103 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.491281844303 0.930709852244 10 2 5 1 3120 3012 2103 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 -1 1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.636839138796 0.498333343823 9 11 2 3 2103 0321 0132 0132 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 0 3 0 -2 -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 0.648458708072 1.134312047099 11 6 8 2 1302 2103 2103 0132 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 0 3 0 -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 0.882356355079 0.468764516038 4 11 6 7 0132 2031 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336361154160 0.559315279122 10 9 5 8 1302 2031 0132 0321 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 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.427086226995 0.584543610994 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_3'], 'c_1001_11' : negation(d['c_0101_2']), 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_9'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_0'], '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_2_10' : 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' : 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' : d['c_1001_0'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : negation(d['c_0101_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : negation(d['c_0011_3']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_1001_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_9'], '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' : 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_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], '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' : negation(d['c_0011_11']), 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_1100_8' : negation(d['c_0101_3'])})} 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_3, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 157/595*c_1001_2^4 + 234/119*c_1001_2^3 - 366/595*c_1001_2^2 - 2083/595*c_1001_2 - 668/595, c_0011_0 - 1, c_0011_10 - 8/17*c_1001_2^4 + 45/17*c_1001_2^3 + 67/17*c_1001_2^2 - 1/17*c_1001_2 - 27/17, c_0011_11 + 10/17*c_1001_2^4 - 69/17*c_1001_2^3 - 3/17*c_1001_2^2 + 65/17*c_1001_2 - 13/17, c_0011_3 + 8/17*c_1001_2^4 - 45/17*c_1001_2^3 - 67/17*c_1001_2^2 + 18/17*c_1001_2 + 27/17, c_0011_6 - 5/17*c_1001_2^4 + 43/17*c_1001_2^3 - 58/17*c_1001_2^2 - 24/17*c_1001_2 - 2/17, c_0011_9 - 10/17*c_1001_2^4 + 69/17*c_1001_2^3 + 3/17*c_1001_2^2 - 65/17*c_1001_2 + 13/17, c_0101_0 + 7/17*c_1001_2^4 - 33/17*c_1001_2^3 - 99/17*c_1001_2^2 - 14/17*c_1001_2 + 30/17, c_0101_1 + 8/17*c_1001_2^4 - 45/17*c_1001_2^3 - 67/17*c_1001_2^2 + 1/17*c_1001_2 + 10/17, c_0101_2 + 12/17*c_1001_2^4 - 76/17*c_1001_2^3 - 41/17*c_1001_2^2 + 10/17*c_1001_2 - 2/17, c_0101_3 - 2/17*c_1001_2^4 + 24/17*c_1001_2^3 - 64/17*c_1001_2^2 - 47/17*c_1001_2 + 23/17, c_1001_0 - 10/17*c_1001_2^4 + 69/17*c_1001_2^3 + 3/17*c_1001_2^2 - 65/17*c_1001_2 - 4/17, c_1001_2^5 - 6*c_1001_2^4 - 6*c_1001_2^3 + 3*c_1001_2^2 + 2*c_1001_2 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.940 Total time: 1.139 seconds, Total memory usage: 32.09MB