Magma V2.19-8 Tue Aug 20 2013 23:45:24 on localhost [Seed = 3137134450] Type ? for help. Type -D to quit. Loading file "L9a24__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a24 geometric_solution 9.81472970 oriented_manifold CS_known -0.0000000000000006 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 2 3 0132 0132 1302 0132 1 1 1 0 0 0 0 0 1 0 -1 0 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 -5 0 5 0 4 0 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.143350152300 0.986260245365 0 4 5 4 0132 0132 0132 1230 1 1 0 1 0 0 0 0 -1 0 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 5 0 -1 -4 -1 1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.501975163260 0.577923581045 0 0 6 4 2031 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 -1 1 0 0 0 0 0 0 1 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855676898963 0.992954208676 5 7 0 6 0213 0132 0132 1230 1 1 1 1 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 1 -1 0 0 0 0 1 -1 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.109452004072 0.706341747509 1 1 2 8 3012 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.855676898963 0.992954208676 3 8 9 1 0213 0132 0132 0132 1 1 1 1 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 -1 0 0 1 0 0 0 0 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.214234381828 1.382548350019 3 8 10 2 3012 1023 0132 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 1 -1 1 0 -1 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353701735703 0.415030627632 9 3 10 8 0321 0132 1023 1023 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 0.752416985228 1.961735866375 6 5 4 7 1023 0132 0132 1023 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 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.353701735703 0.415030627632 7 10 10 5 0321 3012 0213 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 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 0.533416376511 0.470327320265 9 9 7 6 1230 0213 1023 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 -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 -0.054722807726 0.929976981632 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0011_9']), 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0110_8'], 'c_1001_2' : d['c_0110_8'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_1'], 'c_1010_10' : d['c_0101_8'], '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_9'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_1100_10'], 'c_1100_7' : negation(d['c_1100_10']), 'c_1100_6' : d['c_1100_10'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_1100_10'], 'c_1100_10' : d['c_1100_10'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : d['c_0110_8'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0110_8'], 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : negation(d['c_0011_9']), 'c_1100_8' : d['c_1100_10'], 's_3_1' : negation(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'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), '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' : d['c_0011_9'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_2']})} 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_5, c_0011_9, c_0101_2, c_0101_4, c_0101_8, c_0110_8, c_1001_1, c_1100_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 565927/361*c_1100_10^8 + 6326127/361*c_1100_10^7 + 28188992/361*c_1100_10^6 + 63341114/361*c_1100_10^5 + 75153016/361*c_1100_10^4 + 45391407/361*c_1100_10^3 + 10284688/361*c_1100_10^2 - 5257203/361*c_1100_10 - 2544712/361, c_0011_0 - 1, c_0011_10 - 2/3*c_1100_10^8 - 6*c_1100_10^7 - 20*c_1100_10^6 - 30*c_1100_10^5 - 59/3*c_1100_10^4 - 10/3*c_1100_10^3 + 13/3*c_1100_10^2 + 4/3*c_1100_10 + 1/3, c_0011_3 - c_1100_10, c_0011_5 - 1, c_0011_9 - 2/3*c_1100_10^8 - 6*c_1100_10^7 - 21*c_1100_10^6 - 36*c_1100_10^5 - 95/3*c_1100_10^4 - 40/3*c_1100_10^3 - 2/3*c_1100_10^2 + 4/3*c_1100_10 + 1/3, c_0101_2 + 2/3*c_1100_10^8 + 5*c_1100_10^7 + 12*c_1100_10^6 + 6*c_1100_10^5 - 40/3*c_1100_10^4 - 50/3*c_1100_10^3 - 22/3*c_1100_10^2 + 2/3*c_1100_10 + 2/3, c_0101_4 - c_1100_10^8 - 9*c_1100_10^7 - 31*c_1100_10^6 - 52*c_1100_10^5 - 47*c_1100_10^4 - 24*c_1100_10^3 - 2*c_1100_10^2 + 2*c_1100_10 + 1, c_0101_8 + 5/3*c_1100_10^8 + 14*c_1100_10^7 + 43*c_1100_10^6 + 58*c_1100_10^5 + 101/3*c_1100_10^4 + 22/3*c_1100_10^3 - 16/3*c_1100_10^2 - 4/3*c_1100_10 - 1/3, c_0110_8 - 5/3*c_1100_10^8 - 14*c_1100_10^7 - 43*c_1100_10^6 - 58*c_1100_10^5 - 101/3*c_1100_10^4 - 22/3*c_1100_10^3 + 16/3*c_1100_10^2 + 4/3*c_1100_10 + 1/3, c_1001_1 - 2/3*c_1100_10^8 - 5*c_1100_10^7 - 12*c_1100_10^6 - 6*c_1100_10^5 + 40/3*c_1100_10^4 + 50/3*c_1100_10^3 + 22/3*c_1100_10^2 - 2/3*c_1100_10 - 2/3, c_1100_10^9 + 11*c_1100_10^8 + 48*c_1100_10^7 + 105*c_1100_10^6 + 121*c_1100_10^5 + 73*c_1100_10^4 + 20*c_1100_10^3 - 6*c_1100_10^2 - 3*c_1100_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB