Magma V2.19-8 Tue Aug 20 2013 23:41:58 on localhost [Seed = 1140990211] Type ? for help. Type -D to quit. Loading file "L12n617__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n617 geometric_solution 9.07078369 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 2310 0 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 0 1 1 0 0 -1 8 1 0 -9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756647105816 0.477544657622 0 4 6 5 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 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 -1 0 1 0 1 -1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.647184560227 0.065445716612 0 0 3 4 3201 0132 0321 1230 0 1 0 1 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 1 0 -1 9 0 -1 -8 -1 -1 0 2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847123930011 1.662357493124 5 7 2 0 0132 0132 0321 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407672579312 0.531064757337 2 1 8 9 3012 0132 0132 0132 1 0 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 0 0 0 1 0 0 -1 8 0 0 -8 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705680545303 0.749215939545 3 10 1 6 0132 0132 0132 3120 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.176167072899 0.903886046685 5 9 10 1 3120 0132 1023 0132 1 1 1 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 0 0 0 0 0 1 -1 0 8 0 -8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756647105816 0.477544657622 8 3 8 10 2031 0132 1302 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.221931433143 1.129884595655 7 9 7 4 2031 2310 1302 0132 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 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 -0.305309521000 1.096288066437 10 6 4 8 3201 0132 0132 3201 1 0 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 1 -1 -1 1 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.705680545303 0.749215939545 7 5 6 9 3201 0132 1023 2310 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 0 -1 1 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 1.792266790471 1.065847019175 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_5' : negation(d['c_0110_9']), 'c_1001_4' : negation(d['c_0110_9']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0110_9']), '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_0011_8']), 'c_1100_8' : negation(d['c_0011_8']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_0011_10'], 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_6']), 'c_1010_7' : d['c_0101_9'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_4'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0110_9']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : negation(d['c_0110_9']), '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_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_9']), 'c_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_4'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_1']})} 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_6, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0101_9, c_0110_9, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 1096352/9753*c_1001_1^9 - 405492/3251*c_1001_1^8 + 5658008/9753*c_1001_1^7 + 8329358/9753*c_1001_1^6 - 12272590/9753*c_1001_1^5 - 6720347/3251*c_1001_1^4 + 10543838/9753*c_1001_1^3 + 7809398/3251*c_1001_1^2 + 4177075/9753*c_1001_1 - 2986463/9753, c_0011_0 - 1, c_0011_10 - 3220/3251*c_1001_1^9 - 1344/3251*c_1001_1^8 + 14474/3251*c_1001_1^7 + 6558/3251*c_1001_1^6 - 37267/3251*c_1001_1^5 - 7330/3251*c_1001_1^4 + 39084/3251*c_1001_1^3 - 3936/3251*c_1001_1^2 - 17660/3251*c_1001_1 + 8136/3251, c_0011_6 - 11128/3251*c_1001_1^9 - 20928/3251*c_1001_1^8 + 29392/3251*c_1001_1^7 + 78896/3251*c_1001_1^6 - 46672/3251*c_1001_1^5 - 150364/3251*c_1001_1^4 - 14205/3251*c_1001_1^3 + 71073/3251*c_1001_1^2 + 8310/3251*c_1001_1 - 8924/3251, c_0011_8 + 5096/3251*c_1001_1^9 + 6424/3251*c_1001_1^8 - 17592/3251*c_1001_1^7 - 25192/3251*c_1001_1^6 + 39360/3251*c_1001_1^5 + 45524/3251*c_1001_1^4 - 27281/3251*c_1001_1^3 - 19270/3251*c_1001_1^2 + 16217/3251*c_1001_1 - 805/3251, c_0101_0 + 10904/3251*c_1001_1^9 + 30220/3251*c_1001_1^8 - 12328/3251*c_1001_1^7 - 102582/3251*c_1001_1^6 - 12290/3251*c_1001_1^5 + 191269/3251*c_1001_1^4 + 117507/3251*c_1001_1^3 - 61509/3251*c_1001_1^2 - 36960/3251*c_1001_1 + 10960/3251, c_0101_1 - 1, c_0101_10 + 9576/3251*c_1001_1^9 + 28648/3251*c_1001_1^8 - 7764/3251*c_1001_1^7 - 97640/3251*c_1001_1^6 - 23282/3251*c_1001_1^5 + 183218/3251*c_1001_1^4 + 127112/3251*c_1001_1^3 - 67506/3251*c_1001_1^2 - 44728/3251*c_1001_1 + 16993/3251, c_0101_4 - 10904/3251*c_1001_1^9 - 30220/3251*c_1001_1^8 + 12328/3251*c_1001_1^7 + 102582/3251*c_1001_1^6 + 12290/3251*c_1001_1^5 - 191269/3251*c_1001_1^4 - 117507/3251*c_1001_1^3 + 61509/3251*c_1001_1^2 + 36960/3251*c_1001_1 - 14211/3251, c_0101_9 - 10904/3251*c_1001_1^9 - 30220/3251*c_1001_1^8 + 12328/3251*c_1001_1^7 + 102582/3251*c_1001_1^6 + 12290/3251*c_1001_1^5 - 191269/3251*c_1001_1^4 - 117507/3251*c_1001_1^3 + 61509/3251*c_1001_1^2 + 36960/3251*c_1001_1 - 10960/3251, c_0110_9 - 19540/3251*c_1001_1^9 - 35860/3251*c_1001_1^8 + 50194/3251*c_1001_1^7 + 132076/3251*c_1001_1^6 - 79833/3251*c_1001_1^5 - 246063/3251*c_1001_1^4 - 31750/3251*c_1001_1^3 + 102581/3251*c_1001_1^2 + 13706/3251*c_1001_1 - 11650/3251, c_1001_1^10 + 2*c_1001_1^9 - 5/2*c_1001_1^8 - 15/2*c_1001_1^7 + 15/4*c_1001_1^6 + 29/2*c_1001_1^5 + 2*c_1001_1^4 - 29/4*c_1001_1^3 - 1/2*c_1001_1^2 + 3/2*c_1001_1 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB