Magma V2.19-8 Tue Aug 20 2013 17:56:16 on localhost [Seed = 543265809] Type ? for help. Type -D to quit. Loading file "11_241__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_241 geometric_solution 9.73049546 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 1 0 -5 4 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.761667659733 0.778151269349 0 5 2 6 0132 0132 3201 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 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 0.313066375354 0.467527361343 1 0 8 7 2310 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 -1 0 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 0 0 0.391754746302 0.882098488690 6 8 4 0 0132 0132 0213 0132 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 0 0 0 0 0 -5 5 0 1 0 -1 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596587330009 0.338321569539 9 3 0 9 0132 0213 0132 0321 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 -1 0 0 -4 4 0 5 0 -5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.688140172043 0.614175816073 10 1 7 8 0132 0132 0213 2310 0 0 0 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 -5 5 1 0 0 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.997638737851 1.225593313638 3 8 1 10 0132 0213 0132 3201 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 0 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927169374586 1.391123720998 9 5 2 10 3201 0213 0132 3012 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 5 -1 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621925691166 2.070281395740 5 3 6 2 3201 0132 0213 0132 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 4 0 -4 0 -5 5 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.426815449635 0.531994008605 4 4 10 7 0132 0321 1230 2310 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 -5 5 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.191135916690 0.721923786232 5 6 7 9 0132 2310 1230 3012 0 0 0 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 4 0 -4 -1 0 0 1 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.512273898456 0.570954001241 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0110_7']), 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_4']), '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_0011_3'], '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' : d['c_0011_7'], 'c_1100_8' : negation(d['c_1001_10']), 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0110_7']), 'c_1100_7' : negation(d['c_1001_10']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0110_7']), 'c_1100_3' : negation(d['c_0110_7']), 'c_1100_2' : negation(d['c_1001_10']), 'c_1100_10' : d['c_0110_7'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_1001_10']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0110_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0110_7']), 'c_1010_8' : d['c_1001_2'], '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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_3']), '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_0011_7'], 'c_0101_7' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], '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_4'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], '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_0011_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0011_4']})} 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_3, c_0011_4, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0110_7, c_1001_0, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3409/173*c_1001_2^5 - 3902/865*c_1001_2^4 + 107611/865*c_1001_2^3 + 161002/865*c_1001_2^2 + 40794/865*c_1001_2 - 49999/865, c_0011_0 - 1, c_0011_3 - 30/173*c_1001_2^5 + 52/173*c_1001_2^4 + 91/173*c_1001_2^3 + 170/173*c_1001_2^2 + 4/173*c_1001_2 + 102/173, c_0011_4 + 345/173*c_1001_2^5 + 267/173*c_1001_2^4 - 95/173*c_1001_2^3 - 225/173*c_1001_2^2 + 127/173*c_1001_2 + 38/173, c_0011_7 - c_1001_2, c_0101_0 - 315/173*c_1001_2^5 - 319/173*c_1001_2^4 + 4/173*c_1001_2^3 + 55/173*c_1001_2^2 - 304/173*c_1001_2 + 33/173, c_0101_1 + 30/173*c_1001_2^5 - 52/173*c_1001_2^4 - 91/173*c_1001_2^3 - 170/173*c_1001_2^2 - 4/173*c_1001_2 + 71/173, c_0101_2 - 355/173*c_1001_2^5 - 538/173*c_1001_2^4 - 336/173*c_1001_2^3 + 51/173*c_1001_2^2 - 68/173*c_1001_2 - 4/173, c_0110_7 - 155/173*c_1001_2^5 - 308/173*c_1001_2^4 - 20/173*c_1001_2^3 + 244/173*c_1001_2^2 - 37/173*c_1001_2 + 8/173, c_1001_0 + 30/173*c_1001_2^5 - 52/173*c_1001_2^4 - 91/173*c_1001_2^3 - 170/173*c_1001_2^2 - 4/173*c_1001_2 - 102/173, c_1001_10 - 355/173*c_1001_2^5 - 538/173*c_1001_2^4 - 336/173*c_1001_2^3 + 51/173*c_1001_2^2 + 105/173*c_1001_2 - 4/173, c_1001_2^6 + 8/5*c_1001_2^5 + 4/5*c_1001_2^4 - 2/5*c_1001_2^3 + 1/5*c_1001_2^2 + 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.440 seconds, Total memory usage: 32.09MB