Magma V2.19-8 Tue Aug 20 2013 23:58:07 on localhost [Seed = 4273509970] Type ? for help. Type -D to quit. Loading file "L14n3872__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n3872 geometric_solution 11.51710111 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 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 1 0 -1 -1 0 1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330890296592 0.993534680306 0 5 7 6 0132 0132 0132 0132 1 0 1 1 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 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 0.250838516765 0.813598494263 8 0 9 6 0132 0132 0132 2031 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 -1 0 1 0 0 0 0 1 0 0 -1 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484007203494 1.159821505897 8 10 7 0 3012 0132 3120 0132 1 0 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 0 0 1 -1 0 0 0 0 8 -9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.392267391028 0.613503062805 6 5 0 8 0132 3201 0132 3012 1 0 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 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698257858315 0.906014124204 11 1 4 10 0132 0132 2310 3012 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.612467627610 0.665147302363 4 2 1 11 0132 1302 0132 3012 1 0 1 1 0 0 0 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 0 0 -8 -1 0 9 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.527747718399 0.976250551130 11 9 3 1 3012 3120 3120 0132 1 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 0 0 0 0 0 -1 1 0 0 -1 1 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.520260903990 0.592733467351 2 11 4 3 0132 0132 1230 1230 0 1 1 1 0 0 0 0 0 0 0 0 -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 8 0 0 -8 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.693559440935 0.734320373988 10 7 10 2 0321 3120 0132 0132 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 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416090585578 0.318333181178 9 3 5 9 0321 0132 1230 0132 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 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960184008945 1.454991387524 5 8 6 7 0132 0132 1230 1230 0 1 1 1 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 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.571488233304 0.792679596363 ==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' : negation(d['c_0011_4']), 'c_1001_5' : d['c_0101_8'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_1001_3'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : 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_0101_11'], 'c_1100_8' : d['c_0101_0'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_7']), 'c_1100_3' : negation(d['c_0101_7']), 'c_1100_2' : d['c_0101_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_1'], 'c_1100_10' : d['c_0101_11'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : negation(d['c_0101_8']), 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_0101_8'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : d['c_0101_3'], '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' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), '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_7'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_7'], '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' : negation(d['c_0011_9']), 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_7, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 35568393/6653840*c_1001_3^5 - 530922227/53230720*c_1001_3^4 - 1966453013/106461440*c_1001_3^3 - 230636201/13307680*c_1001_3^2 - 1060521919/26615360*c_1001_3 - 2656200803/106461440, c_0011_0 - 1, c_0011_10 + 196248/83173*c_1001_3^5 + 346457/83173*c_1001_3^4 + 1263753/166346*c_1001_3^3 + 1154789/166346*c_1001_3^2 + 2825951/166346*c_1001_3 + 812904/83173, c_0011_4 - 163824/83173*c_1001_3^5 - 316394/83173*c_1001_3^4 - 583727/83173*c_1001_3^3 - 563116/83173*c_1001_3^2 - 1286092/83173*c_1001_3 - 775796/83173, c_0011_7 - 224816/83173*c_1001_3^5 - 381810/83173*c_1001_3^4 - 759053/83173*c_1001_3^3 - 645321/83173*c_1001_3^2 - 1639217/83173*c_1001_3 - 805254/83173, c_0011_9 - 81088/83173*c_1001_3^5 - 137240/83173*c_1001_3^4 - 270098/83173*c_1001_3^3 - 256785/83173*c_1001_3^2 - 536240/83173*c_1001_3 - 281701/83173, c_0101_0 - 1, c_0101_1 + 121632/83173*c_1001_3^5 + 205860/83173*c_1001_3^4 + 405147/83173*c_1001_3^3 + 770355/166346*c_1001_3^2 + 887533/83173*c_1001_3 + 464138/83173, c_0101_11 - 81088/83173*c_1001_3^5 - 137240/83173*c_1001_3^4 - 270098/83173*c_1001_3^3 - 256785/83173*c_1001_3^2 - 619413/83173*c_1001_3 - 364874/83173, c_0101_3 - 40544/83173*c_1001_3^5 - 68620/83173*c_1001_3^4 - 135049/83173*c_1001_3^3 - 256785/166346*c_1001_3^2 - 351293/83173*c_1001_3 - 182437/83173, c_0101_7 - 121632/83173*c_1001_3^5 - 205860/83173*c_1001_3^4 - 405147/83173*c_1001_3^3 - 770355/166346*c_1001_3^2 - 887533/83173*c_1001_3 - 464138/83173, c_0101_8 + 1, c_1001_3^6 + 19/8*c_1001_3^5 + 71/16*c_1001_3^4 + 81/16*c_1001_3^3 + 147/16*c_1001_3^2 + 17/2*c_1001_3 + 5/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB