Magma V2.19-8 Tue Aug 20 2013 23:58:26 on localhost [Seed = 3499538514] Type ? for help. Type -D to quit. Loading file "L14n39817__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n39817 geometric_solution 10.86701141 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1230 0132 0132 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 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 0 0.172377685026 0.654302624063 0 4 0 5 0132 0132 3012 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 0 0 0 0 0 -1 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 0.623486458317 1.429151332906 6 7 5 0 0132 0132 2031 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 -1.290018515389 0.901721751490 8 8 0 5 0132 1302 0132 2031 1 1 1 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 -1 1 0 0 0 0 0 -3 0 0 3 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.104143747332 1.017875820507 9 1 10 9 0132 0132 0132 2031 1 1 0 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 1 -1 0 0 0 0 0 -1 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743548791990 0.587835679290 11 3 1 2 0132 1302 0132 1302 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 0 0 0 1 0 -1 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 0.383667641828 0.898607151985 2 11 10 7 0132 2103 3120 1302 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 -0.064726052175 0.727012489954 11 2 6 10 2103 0132 2031 1230 1 1 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 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 0.220840153901 0.682881654581 3 9 10 3 0132 1230 3012 2031 1 1 0 1 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 0 -1 1 -2 -1 0 3 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.487241284000 0.553605693168 4 4 8 11 0132 1302 3012 1023 1 1 1 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 0 3 -3 0 0 0 0 2 1 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172377685026 0.654302624063 7 8 6 4 3012 1230 3120 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 1 0 -1 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 0.519077749024 0.756810788082 5 6 7 9 0132 2103 2103 1023 1 1 1 1 0 0 0 0 0 0 1 -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 -1 0 -2 3 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.220018343935 1.067868297839 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_2']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0101_10'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : d['c_0101_4'], 'c_1010_10' : d['c_0101_8'], '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_0101_10']), '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' : negation(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' : negation(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_1100_8' : d['c_0011_11'], 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0101_0']), 'c_1100_7' : d['c_0101_4'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : negation(d['c_1010_5']), 'c_1100_3' : negation(d['c_1010_5']), 'c_1100_2' : negation(d['c_1010_5']), 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_0']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : negation(d['c_0101_4']), 'c_1010_5' : d['c_1010_5'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_0'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : negation(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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(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' : 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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_0'], 'c_0110_10' : d['c_0101_4'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0101_10']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_2']})} 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_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_4, c_0101_8, c_1010_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 66657341307064/204966641*c_1010_5^7 + 12201021970888/18633331*c_1010_5^6 + 301757273331908/204966641*c_1010_5^5 + 212347206889259/204966641*c_1010_5^4 + 897187352706463/409933282*c_1010_5^3 - 995678329323/819866564*c_1010_5^2 + 222832417999151/204966641*c_1010_5 - 613028439660553/819866564, c_0011_0 - 1, c_0011_10 + c_1010_5, c_0011_11 - 6876736/18633331*c_1010_5^7 - 14117056/18633331*c_1010_5^6 - 30720576/18633331*c_1010_5^5 - 27571520/18633331*c_1010_5^4 - 62689152/18633331*c_1010_5^3 - 27950652/18633331*c_1010_5^2 - 45567367/18633331*c_1010_5 - 5624412/18633331, c_0011_2 - 9880416/18633331*c_1010_5^7 - 20499648/18633331*c_1010_5^6 - 37182928/18633331*c_1010_5^5 - 14922148/18633331*c_1010_5^4 - 36735710/18633331*c_1010_5^3 + 18631999/18633331*c_1010_5^2 - 8296857/18633331*c_1010_5 + 23108742/18633331, c_0011_3 + 1090304/18633331*c_1010_5^7 - 411536/18633331*c_1010_5^6 + 2126608/18633331*c_1010_5^5 - 1950584/18633331*c_1010_5^4 + 15566678/18633331*c_1010_5^3 - 2692173/18633331*c_1010_5^2 + 59258405/37266662*c_1010_5 - 4232682/18633331, c_0101_0 - 1, c_0101_1 + 1090304/18633331*c_1010_5^7 - 411536/18633331*c_1010_5^6 + 2126608/18633331*c_1010_5^5 - 1950584/18633331*c_1010_5^4 + 15566678/18633331*c_1010_5^3 - 2692173/18633331*c_1010_5^2 + 59258405/37266662*c_1010_5 - 4232682/18633331, c_0101_10 - 10652992/18633331*c_1010_5^7 - 14721728/18633331*c_1010_5^6 - 32696000/18633331*c_1010_5^5 - 5835528/18633331*c_1010_5^4 - 50637192/18633331*c_1010_5^3 + 26528534/18633331*c_1010_5^2 - 29525537/18633331*c_1010_5 + 21889328/18633331, c_0101_2 - 5138880/18633331*c_1010_5^7 - 10887968/18633331*c_1010_5^6 - 27365936/18633331*c_1010_5^5 - 25938040/18633331*c_1010_5^4 - 48469124/18633331*c_1010_5^3 - 1076100/18633331*c_1010_5^2 - 25609408/18633331*c_1010_5 + 20214397/18633331, c_0101_4 - 5138880/18633331*c_1010_5^7 - 10887968/18633331*c_1010_5^6 - 27365936/18633331*c_1010_5^5 - 25938040/18633331*c_1010_5^4 - 48469124/18633331*c_1010_5^3 - 1076100/18633331*c_1010_5^2 - 25609408/18633331*c_1010_5 + 20214397/18633331, c_0101_8 + 6876736/18633331*c_1010_5^7 + 14117056/18633331*c_1010_5^6 + 30720576/18633331*c_1010_5^5 + 27571520/18633331*c_1010_5^4 + 62689152/18633331*c_1010_5^3 + 27950652/18633331*c_1010_5^2 + 26934036/18633331*c_1010_5 + 5624412/18633331, c_1010_5^8 + 2*c_1010_5^7 + 9/2*c_1010_5^6 + 25/8*c_1010_5^5 + 107/16*c_1010_5^4 - 3/32*c_1010_5^3 + 107/32*c_1010_5^2 - 75/32*c_1010_5 + 1/32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB