Magma V2.19-8 Tue Aug 20 2013 23:59:23 on localhost [Seed = 2901067218] Type ? for help. Type -D to quit. Loading file "L14n43252__sl2_c7.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n43252 geometric_solution 11.29496914 oriented_manifold CS_known -0.0000000000000009 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 2 2 2 0 0 0 0 0 1 0 -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 1 0 -1 -7 0 8 -1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.403688223169 0.547481111947 0 5 4 6 0132 0132 3201 0132 2 2 0 2 0 0 0 0 -1 0 0 1 2 -3 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 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 -0.100608495423 1.410479373877 7 0 9 8 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 -1 1 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 0.346075838460 0.853559401753 6 10 4 0 3120 0132 0213 0132 2 2 0 2 0 0 0 0 -1 0 0 1 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 0 0 0 8 0 0 -8 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.228329650223 0.911152310798 1 3 0 5 2310 0213 0132 1023 2 2 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 0 0 0 0 0 0 0 0 0 0 0 1 -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 0.480305771969 0.498183466211 7 1 7 4 1023 0132 2031 1023 2 2 2 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 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 0.324835968798 1.011550248346 7 11 1 3 2031 0132 0132 3120 2 2 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 7 -8 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.417861920622 0.864195152332 2 5 6 5 0132 1023 1302 1302 2 0 2 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 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0.324835968798 1.011550248346 11 10 2 10 0213 0213 0132 2310 2 0 1 0 0 0 0 0 2 0 0 -2 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 -1 0 0 1 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.582138079378 0.864195152332 11 10 11 2 3201 0321 0321 0132 2 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 0 0 0 0 0 0 0 0 0 1 -1 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 0.582138079378 0.864195152332 8 3 8 9 3201 0132 0213 0321 2 1 2 0 0 0 0 0 -1 0 1 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -3 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 0.582138079378 0.864195152332 8 6 9 9 0213 0132 0321 2310 2 1 0 0 0 0 0 0 0 0 0 0 -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 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 0.453487024088 0.937872700339 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_1001_0'], 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0011_8'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_8' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0110_5']), 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_9'], 'c_1100_10' : d['c_0011_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0110_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_9'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_8'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0011_11'], '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_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' : negation(d['c_0011_8']), 'c_0101_8' : d['c_0011_11'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_8']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_0']})} 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_4, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0110_5, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 189108233/679616*c_1001_2^6 + 142815527/388352*c_1001_2^5 + 284818219/194176*c_1001_2^4 + 4806703221/2718464*c_1001_2^3 + 1341406369/679616*c_1001_2^2 + 1211463493/679616*c_1001_2 + 3250878257/2718464, c_0011_0 - 1, c_0011_10 + 2004/10619*c_1001_2^6 - 4603/10619*c_1001_2^5 + 212/10619*c_1001_2^4 - 2119/1517*c_1001_2^3 - 13372/10619*c_1001_2^2 + 7836/10619*c_1001_2 + 10219/10619, c_0011_11 + 3112/10619*c_1001_2^6 + 6502/10619*c_1001_2^5 + 9083/10619*c_1001_2^4 + 1757/1517*c_1001_2^3 - 19324/10619*c_1001_2^2 - 29926/10619*c_1001_2 - 13932/10619, c_0011_4 - 1544/10619*c_1001_2^6 - 2134/10619*c_1001_2^5 - 5653/10619*c_1001_2^4 - 1250/1517*c_1001_2^3 + 6339/10619*c_1001_2^2 - 1777/10619*c_1001_2 - 5563/10619, c_0011_8 - 1, c_0011_9 - 4456/10619*c_1001_2^6 - 4178/10619*c_1001_2^5 - 22642/10619*c_1001_2^4 - 2625/1517*c_1001_2^3 - 22641/10619*c_1001_2^2 - 17233/10619*c_1001_2 - 5766/10619, c_0101_0 - 1264/10619*c_1001_2^6 - 4388/10619*c_1001_2^5 - 10350/10619*c_1001_2^4 - 2839/1517*c_1001_2^3 - 25182/10619*c_1001_2^2 - 10093/10619*c_1001_2 - 4114/10619, c_0101_1 - 1, c_0101_2 - 2808/10619*c_1001_2^6 - 6522/10619*c_1001_2^5 - 16003/10619*c_1001_2^4 - 4089/1517*c_1001_2^3 - 18843/10619*c_1001_2^2 - 11870/10619*c_1001_2 - 9677/10619, c_0110_5 - 1264/10619*c_1001_2^6 - 4388/10619*c_1001_2^5 - 10350/10619*c_1001_2^4 - 2839/1517*c_1001_2^3 - 25182/10619*c_1001_2^2 - 20712/10619*c_1001_2 - 14733/10619, c_1001_0 - 2808/10619*c_1001_2^6 - 6522/10619*c_1001_2^5 - 16003/10619*c_1001_2^4 - 4089/1517*c_1001_2^3 - 18843/10619*c_1001_2^2 - 11870/10619*c_1001_2 - 9677/10619, c_1001_2^7 + 9/4*c_1001_2^6 + 13/2*c_1001_2^5 + 45/4*c_1001_2^4 + 13*c_1001_2^3 + 13*c_1001_2^2 + 41/4*c_1001_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB