Magma V2.19-8 Wed Aug 21 2013 00:57:52 on localhost [Seed = 3970627149] Type ? for help. Type -D to quit. Loading file "L13n4562__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4562 geometric_solution 11.29708009 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1230 0132 1 1 0 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 1 0 -1 -1 0 0 1 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.220184729849 0.823406099084 0 4 5 2 0132 0132 0132 3012 0 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 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 1 0 0 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650481983075 0.640134015257 3 0 1 0 0213 0132 1230 3012 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 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 1.260030139746 0.753418784348 2 6 0 7 0213 0132 0132 0132 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 0 1 -1 0 0 -1 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 0.657069773725 1.203407813591 5 1 6 8 0321 0132 2103 0132 0 1 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 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 0 0 0 0 0 0 0 0 0 0 0.972708821202 0.584369949245 4 9 10 1 0321 0132 0132 0132 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 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 1.039048831420 1.029268630629 4 3 11 10 2103 0132 0132 1302 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 0 0 0 0 0 -2 2 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327255546154 0.754457361813 10 9 3 12 1302 2031 0132 0132 1 1 0 1 0 0 0 0 -1 0 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 1 -1 -2 0 -1 3 3 -1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.389805340188 0.243867489560 11 9 4 12 2103 0213 0132 3120 0 1 1 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 0 0 -2 2 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 0 0 0 1.035274582715 0.941113602327 7 5 8 11 1302 0132 0213 3201 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 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 0.390461513490 0.841215427923 12 7 6 5 3201 2031 2031 0132 0 1 1 1 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 -3 3 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 1.094344411308 0.706876492527 12 9 8 6 1023 2310 2103 0132 1 1 1 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 0 -3 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 -0.307900647711 0.872999761425 8 11 7 10 3120 1023 0132 2310 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 -1 1 0 3 0 -3 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 -0.063626185935 1.095132706606 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : negation(d['c_0011_5']), 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0110_9']), 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 'c_1010_12' : d['c_0101_4'], 'c_1010_11' : negation(d['c_0110_9']), 'c_1010_10' : d['c_0011_7'], 's_0_10' : 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' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_5']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_1001_2']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1001_2']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0110_9']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0011_11']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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_7']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], '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_11' : d['c_0101_4'], 'c_0110_10' : negation(d['c_0101_4']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_4'], 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : negation(d['c_0011_5']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0101_10']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : negation(d['c_0011_10']), 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_12'], '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_10, c_0011_11, c_0011_3, c_0011_5, c_0011_7, c_0101_0, c_0101_10, c_0101_12, c_0101_4, c_0110_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 26035493441644811/8166692548656880*c_1001_2^12 - 156726803609588503/16333385097313760*c_1001_2^11 - 4668176408535/8046002510992*c_1001_2^10 + 59487550315106787/2333340728187680*c_1001_2^9 + 129585115307445859/16333385097313760*c_1001_2^8 - 1466230909280390401/16333385097313760*c_1001_2^7 + 362236586726986731/8166692548656880*c_1001_2^6 + 1576813395084882127/16333385097313760*c_1001_2^5 - 176040873762411799/4083346274328440*c_1001_2^4 - 60188264993853257/429825923613520*c_1001_2^3 + 990256791104769399/8166692548656880*c_1001_2^2 + 65314504998671639/4083346274328440*c_1001_2 - 16897696986141128/510418284291055, c_0011_0 - 1, c_0011_10 - c_1001_2 - 1, c_0011_11 - 1/2*c_1001_2^12 + 3/4*c_1001_2^11 + 2*c_1001_2^10 - 9/4*c_1001_2^9 - 29/4*c_1001_2^8 + 27/4*c_1001_2^7 + 13*c_1001_2^6 - 35/4*c_1001_2^5 - 39/2*c_1001_2^4 + 19/2*c_1001_2^3 + 31/2*c_1001_2^2 - 4*c_1001_2 - 7, c_0011_3 - c_1001_2^2 - c_1001_2 + 1, c_0011_5 + 1/2*c_1001_2^12 - 1/4*c_1001_2^11 - 2*c_1001_2^10 + 1/4*c_1001_2^9 + 27/4*c_1001_2^8 - 3/4*c_1001_2^7 - 23/2*c_1001_2^6 - 5/4*c_1001_2^5 + 31/2*c_1001_2^4 + c_1001_2^3 - 21/2*c_1001_2^2 - 2*c_1001_2 + 4, c_0011_7 + 1/2*c_1001_2^9 - 3/2*c_1001_2^7 - 1/2*c_1001_2^6 + 7/2*c_1001_2^5 + c_1001_2^4 - 7/2*c_1001_2^3 - 2*c_1001_2^2 + 2*c_1001_2 + 1, c_0101_0 - 1, c_0101_10 + 1/4*c_1001_2^11 - 5/4*c_1001_2^9 - 3/4*c_1001_2^8 + 15/4*c_1001_2^7 + 2*c_1001_2^6 - 25/4*c_1001_2^5 - 5*c_1001_2^4 + 13/2*c_1001_2^3 + 9/2*c_1001_2^2 - 3*c_1001_2 - 3, c_0101_12 + 1/2*c_1001_2^12 - 3/4*c_1001_2^11 - 2*c_1001_2^10 + 9/4*c_1001_2^9 + 29/4*c_1001_2^8 - 27/4*c_1001_2^7 - 13*c_1001_2^6 + 31/4*c_1001_2^5 + 39/2*c_1001_2^4 - 17/2*c_1001_2^3 - 29/2*c_1001_2^2 + 2*c_1001_2 + 7, c_0101_4 + 1/4*c_1001_2^12 - 3/4*c_1001_2^10 - 1/4*c_1001_2^9 + 9/4*c_1001_2^8 + c_1001_2^7 - 9/4*c_1001_2^6 - 5/2*c_1001_2^5 + 2*c_1001_2^4 + 3*c_1001_2^3 + c_1001_2^2 - 2*c_1001_2 - 1, c_0110_9 - c_1001_2^3 - c_1001_2^2 + c_1001_2 + 1, c_1001_1 - c_1001_2^2 + 1, c_1001_2^13 - 2*c_1001_2^12 - 3*c_1001_2^11 + 7*c_1001_2^10 + 11*c_1001_2^9 - 24*c_1001_2^8 - 15*c_1001_2^7 + 38*c_1001_2^6 + 24*c_1001_2^5 - 54*c_1001_2^4 - 12*c_1001_2^3 + 36*c_1001_2^2 + 8*c_1001_2 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.470 seconds, Total memory usage: 32.09MB