Magma V2.19-8 Wed Aug 21 2013 01:07:56 on localhost [Seed = 1191272042] Type ? for help. Type -D to quit. Loading file "L14n36236__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n36236 geometric_solution 11.65756462 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 0 0 -1 0 1 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 6 1 -7 -7 0 0 7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421047842480 0.565463705347 0 3 6 5 0132 1023 0132 0132 1 1 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 0 0 0 0 7 0 -1 -6 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.053990658514 1.278764581354 7 0 5 5 0132 0132 1302 0321 1 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 -6 6 0 1 0 0 -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 0.564963035293 0.750332522753 1 8 9 0 1023 0132 0132 0132 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 0 0 0 0 0 0 1 -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 0.435406944574 1.258137883119 10 7 0 11 0132 0213 0132 0132 1 1 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 0 0 0 0 0 0 0 -7 7 0 0 0 -7 7 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665013856178 0.542123990270 2 2 1 8 2031 0321 0132 0132 1 1 0 0 0 0 0 0 1 0 -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 -6 0 6 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 0.564963035293 0.750332522753 12 11 12 1 0132 0132 2031 0132 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 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 -0.032958234451 0.780613240133 2 8 4 10 0132 1023 0213 0321 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 0 0 0 0 0 0 0 7 -7 -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 0.714967729595 0.982880092633 7 3 5 12 1023 0132 0132 2031 1 1 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 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 0.548735656741 0.480203136577 10 11 11 3 2031 2031 0132 0132 1 1 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 0 0 0 0 0 0 0 0 1 0 -1 7 0 -7 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 -0.160609562594 1.102705437770 4 7 9 12 0132 0321 1302 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 7 -7 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 1.369717432909 0.361381060152 9 6 4 9 1302 0132 0132 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 0 0 -7 7 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.160609562594 1.102705437770 6 8 10 6 0132 1302 0132 1302 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 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 0.949703331304 0.683031231245 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : d['c_0110_8'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_8'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0101_8'], 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : negation(d['c_0101_6']), 'c_1010_10' : d['c_0110_8'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(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' : negation(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_1010_12']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_1010_12']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_3'], 'c_1100_6' : negation(d['c_1010_12']), 'c_1100_1' : negation(d['c_1010_12']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_6'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_8'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_1001_0'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0101_8'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_6'], 's_1_7' : d['1'], 's_1_6' : negation(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' : 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_0'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : negation(d['c_0011_10']), '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_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0110_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' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_8'], 'c_0110_4' : negation(d['c_0011_9']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_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_9, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_8, c_0110_8, c_1001_0, c_1010_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 11013296051/32551366855*c_1100_0^5 - 227400562481/97654100565*c_1100_0^4 - 5688196154443/390616402260*c_1100_0^3 + 5005175904059/390616402260*c_1100_0^2 - 16156374244301/390616402260*c_1100_0 - 6462880818013/390616402260, c_0011_0 - 1, c_0011_10 + 13207/1138508*c_1100_0^5 + 101341/1138508*c_1100_0^4 + 321107/569254*c_1100_0^3 + 796/284627*c_1100_0^2 + 1426007/1138508*c_1100_0 + 2430899/1138508, c_0011_11 + 941/284627*c_1100_0^5 + 8880/284627*c_1100_0^4 + 55305/284627*c_1100_0^3 + 52036/284627*c_1100_0^2 + 56949/284627*c_1100_0 + 183180/284627, c_0011_9 + 941/284627*c_1100_0^5 + 8880/284627*c_1100_0^4 + 55305/284627*c_1100_0^3 + 52036/284627*c_1100_0^2 + 56949/284627*c_1100_0 + 183180/284627, c_0101_0 - 1, c_0101_1 - 1135/162644*c_1100_0^5 - 2332/40661*c_1100_0^4 - 15348/40661*c_1100_0^3 - 9123/40661*c_1100_0^2 - 98505/162644*c_1100_0 - 55798/40661, c_0101_3 - 941/284627*c_1100_0^5 - 8880/284627*c_1100_0^4 - 55305/284627*c_1100_0^3 - 52036/284627*c_1100_0^2 + 227678/284627*c_1100_0 - 183180/284627, c_0101_6 - 941/284627*c_1100_0^5 - 8880/284627*c_1100_0^4 - 55305/284627*c_1100_0^3 - 52036/284627*c_1100_0^2 - 56949/284627*c_1100_0 - 183180/284627, c_0101_8 - 1081/1138508*c_1100_0^5 - 6269/1138508*c_1100_0^4 - 1973/569254*c_1100_0^3 + 74890/284627*c_1100_0^2 + 863775/1138508*c_1100_0 - 38931/1138508, c_0110_8 + 1915/1138508*c_1100_0^5 - 5219/1138508*c_1100_0^4 - 10723/569254*c_1100_0^3 - 155312/284627*c_1100_0^2 + 1881127/1138508*c_1100_0 + 232739/1138508, c_1001_0 + 1786/284627*c_1100_0^5 + 53805/1138508*c_1100_0^4 + 80770/284627*c_1100_0^3 - 37047/284627*c_1100_0^2 + 70279/284627*c_1100_0 + 96407/1138508, c_1010_12 + 4181/1138508*c_1100_0^5 + 7444/284627*c_1100_0^4 + 52131/284627*c_1100_0^3 + 11825/284627*c_1100_0^2 + 1600247/1138508*c_1100_0 + 207406/284627, c_1100_0^6 + 8*c_1100_0^5 + 51*c_1100_0^4 + 12*c_1100_0^3 + 91*c_1100_0^2 + 172*c_1100_0 + 89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.400 seconds, Total memory usage: 32.09MB