Magma V2.19-8 Tue Aug 20 2013 23:43:56 on localhost [Seed = 425688079] Type ? for help. Type -D to quit. Loading file "L14n13552__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13552 geometric_solution 9.60194237 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 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 1 0 -1 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 0.443991284501 0.983264868016 0 4 2 5 0132 2031 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.546074061201 0.390185231939 1 0 7 6 2031 0132 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 -1 1 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 0.131031349850 1.357530614109 4 8 6 0 3201 0132 2103 0132 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 -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 0.668953061684 1.045059865487 1 5 0 3 1302 3012 0132 2310 1 1 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 0 0 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 0 0 0 0 0.694045178089 1.700040361333 4 9 1 9 1230 0132 0132 1023 1 1 1 1 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833929656552 0.368100097888 3 9 2 8 2103 1023 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.357157780486 0.830974843568 10 10 10 2 0132 1302 3012 0132 1 1 1 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 1 0 -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 0.028872056093 0.506865372125 6 3 9 10 3012 0132 1023 1302 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.134719339211 0.560877757982 6 5 8 5 1023 0132 1023 1023 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799963651324 0.567855907822 7 7 8 7 0132 1230 2031 2031 1 1 0 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 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 0.809271945291 0.422387110034 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0011_3']), 'c_1001_10' : negation(d['c_0110_8']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_9'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_10' : 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_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : d['c_0110_8'], 'c_1100_6' : d['c_0110_8'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0110_8'], 'c_1100_10' : d['c_0011_5'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0101_8'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_9'], 'c_1010_2' : d['c_0101_9'], 'c_1010_1' : d['c_0011_4'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0011_4'], 'c_1010_8' : negation(d['c_0011_5']), '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' : negation(d['c_0011_5']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_5']), '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' : negation(d['c_0011_10']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : 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_4, c_0011_5, c_0101_0, c_0101_10, c_0101_3, c_0101_8, c_0101_9, c_0110_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 1373/2520*c_0110_8^8 + 409/2520*c_0110_8^7 + 5891/2520*c_0110_8^6 - 871/630*c_0110_8^5 - 1247/252*c_0110_8^4 - 1741/2520*c_0110_8^3 + 7087/840*c_0110_8^2 + 205/84*c_0110_8 - 3706/315, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 + 1/60*c_0110_8^8 + 5/12*c_0110_8^7 - 13/60*c_0110_8^6 - 17/30*c_0110_8^5 + 11/30*c_0110_8^4 + 89/60*c_0110_8^3 + 7/20*c_0110_8^2 - 9/5*c_0110_8 + 22/15, c_0011_4 - 1/5*c_0110_8^8 + 3/5*c_0110_8^6 - 1/5*c_0110_8^5 - 7/5*c_0110_8^4 - 4/5*c_0110_8^3 + 9/5*c_0110_8^2 + 3/5*c_0110_8 - 13/5, c_0011_5 + 13/60*c_0110_8^8 - 1/12*c_0110_8^7 - 19/60*c_0110_8^6 + 2/15*c_0110_8^5 + 23/30*c_0110_8^4 + 17/60*c_0110_8^3 - 19/20*c_0110_8^2 + 11/10*c_0110_8 + 1/15, c_0101_0 - 1/12*c_0110_8^8 - 1/12*c_0110_8^7 + 13/12*c_0110_8^6 - 1/6*c_0110_8^5 - 11/6*c_0110_8^4 - 5/12*c_0110_8^3 + 13/4*c_0110_8^2 + 3*c_0110_8 - 13/3, c_0101_10 - 13/60*c_0110_8^8 + 1/12*c_0110_8^7 + 19/60*c_0110_8^6 - 2/15*c_0110_8^5 - 23/30*c_0110_8^4 - 17/60*c_0110_8^3 + 19/20*c_0110_8^2 - 1/10*c_0110_8 - 1/15, c_0101_3 - 11/60*c_0110_8^8 + 5/12*c_0110_8^7 + 23/60*c_0110_8^6 - 23/30*c_0110_8^5 - 31/30*c_0110_8^4 + 41/60*c_0110_8^3 + 63/20*c_0110_8^2 - 6/5*c_0110_8 - 17/15, c_0101_8 - 11/60*c_0110_8^8 + 5/12*c_0110_8^7 + 23/60*c_0110_8^6 - 23/30*c_0110_8^5 - 31/30*c_0110_8^4 + 41/60*c_0110_8^3 + 63/20*c_0110_8^2 - 6/5*c_0110_8 - 32/15, c_0101_9 - 1/60*c_0110_8^8 - 5/12*c_0110_8^7 + 13/60*c_0110_8^6 + 17/30*c_0110_8^5 - 11/30*c_0110_8^4 - 89/60*c_0110_8^3 - 7/20*c_0110_8^2 + 9/5*c_0110_8 - 37/15, c_0110_8^9 - c_0110_8^8 - 3*c_0110_8^7 + 4*c_0110_8^6 + 6*c_0110_8^5 - 3*c_0110_8^4 - 13*c_0110_8^3 + 6*c_0110_8^2 + 16*c_0110_8 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB