Magma V2.19-8 Wed Aug 21 2013 01:05:15 on localhost [Seed = 1242321624] Type ? for help. Type -D to quit. Loading file "L14n25366__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25366 geometric_solution 11.62425804 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 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 0 1 -1 7 0 -7 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.720913209785 0.638908285816 0 5 7 6 0132 0132 0132 0132 1 1 0 1 0 1 -1 0 1 0 -1 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 -8 8 0 -7 0 7 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 0.977478259667 0.666637828062 8 0 9 6 0132 0132 0132 2031 1 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 0 0 0 0 0 0 0 7 0 0 -7 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548170728019 0.457797548404 5 10 8 0 0132 0132 0132 0132 1 1 0 1 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 1 0 -1 0 0 -7 7 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456635762662 1.732357925475 11 9 0 9 0132 0132 0132 2310 1 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 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353841775718 0.525401300536 3 1 11 9 0132 0132 3120 1302 1 1 1 0 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 8 0 -8 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532943687691 1.106914692258 12 2 1 7 0132 1302 0132 0321 1 1 1 0 0 -1 0 1 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 7 0 -7 0 0 0 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 0.589775438859 0.833832387552 12 6 10 1 2103 0321 2031 0132 1 1 1 1 0 -1 0 1 -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 7 1 -8 8 0 -1 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.985873050502 0.827422881213 2 10 11 3 0132 1023 2310 0132 1 1 1 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 -7 0 0 7 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286708821439 0.321817939736 4 4 5 2 3201 0132 2031 0132 1 1 1 1 0 0 0 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 0 0 0 -8 0 8 0 1 0 0 -1 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.690634475031 1.551552007683 8 3 12 7 1023 0132 3012 1302 1 1 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 1 0 0 -1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.715454524289 1.079491906486 4 8 5 12 0132 3201 3120 2103 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 8 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.113766753508 0.944220591303 6 10 7 11 0132 1230 2103 2103 1 1 0 1 0 0 0 0 0 0 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 -8 8 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717238330799 1.686494554328 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_8']), 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : d['c_0011_7'], 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0110_10']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : d['c_0110_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_2']), 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0110_10'], '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'], 'c_0101_12' : negation(d['c_0011_7']), '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' : 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' : 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_1001_1']), 'c_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_11']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_1001_1']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_0']), 'c_1100_10' : negation(d['c_0011_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0110_10'], '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'], 'c_1100_12' : negation(d['c_0101_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_11'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_7']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], '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_0101_11']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_7']), 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_8, c_0110_10, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 956789504/42114017125*c_1001_2^5 - 3932546/434165125*c_1001_2^4 - 1164778068/42114017125*c_1001_2^3 - 17640187626/42114017125*c_1001_2^2 + 66769838626/42114017125*c_1001_2 + 131363450846/42114017125, c_0011_0 - 1, c_0011_11 + 4271/204313*c_1001_2^5 - 6198/204313*c_1001_2^4 - 2500/204313*c_1001_2^3 - 117670/204313*c_1001_2^2 + 381363/204313*c_1001_2 + 498465/204313, c_0011_12 + 1177/408626*c_1001_2^5 - 2624/204313*c_1001_2^4 + 12849/408626*c_1001_2^3 - 807/408626*c_1001_2^2 + 82995/408626*c_1001_2 + 65263/204313, c_0011_7 + 5868/204313*c_1001_2^5 - 6028/204313*c_1001_2^4 - 1904/204313*c_1001_2^3 - 101059/204313*c_1001_2^2 + 429052/204313*c_1001_2 + 606827/204313, c_0101_0 - 4466/204313*c_1001_2^5 + 7365/408626*c_1001_2^4 + 892/204313*c_1001_2^3 + 160791/408626*c_1001_2^2 - 788317/408626*c_1001_2 - 713661/408626, c_0101_1 - 1, c_0101_10 + 10559/408626*c_1001_2^5 - 3404/204313*c_1001_2^4 - 16657/408626*c_1001_2^3 - 201311/408626*c_1001_2^2 + 775109/408626*c_1001_2 + 337251/204313, c_0101_11 - 3064/204313*c_1001_2^5 + 1337/204313*c_1001_2^4 - 120/204313*c_1001_2^3 + 59732/204313*c_1001_2^2 - 154952/204313*c_1001_2 - 311147/204313, c_0101_2 - 4271/204313*c_1001_2^5 + 6198/204313*c_1001_2^4 + 2500/204313*c_1001_2^3 + 117670/204313*c_1001_2^2 - 381363/204313*c_1001_2 - 294152/204313, c_0101_8 + 1662/204313*c_1001_2^5 + 2017/408626*c_1001_2^4 + 1132/204313*c_1001_2^3 - 78137/408626*c_1001_2^2 + 240117/408626*c_1001_2 + 530927/408626, c_0110_10 - 2804/204313*c_1001_2^5 + 4691/204313*c_1001_2^4 + 2024/204313*c_1001_2^3 + 41327/204313*c_1001_2^2 - 274100/204313*c_1001_2 - 91367/204313, c_1001_1 + 1, c_1001_2^6 - c_1001_2^4 - 20*c_1001_2^3 + 62*c_1001_2^2 + 156*c_1001_2 + 97 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.460 seconds, Total memory usage: 32.09MB