Magma V2.19-8 Wed Aug 21 2013 00:58:28 on localhost [Seed = 307497106] Type ? for help. Type -D to quit. Loading file "L13n5558__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5558 geometric_solution 12.41722390 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 0 0 0 0 0 0 0 0 0 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 0.839861283218 0.605705295885 0 2 6 5 0132 0321 0132 0132 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 -1 1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657314168109 0.593927564078 7 0 8 1 0132 0132 0132 0321 1 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 -1 0 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771473476647 1.065886397517 9 8 10 0 0132 3012 0132 0132 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 1 0 -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 0.194857654086 0.919247817533 7 11 0 12 2031 0132 0132 0132 1 1 0 0 0 -1 0 1 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 3 1 -4 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.671904349376 0.609948100983 6 8 1 12 1302 3201 0132 2103 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.271106006176 0.903550923484 9 5 10 1 2031 2031 0321 0132 1 1 0 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 0 0 0 0 -1 1 0 -1 0 1 4 -1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456723445673 0.961930094642 2 11 4 9 0132 1023 1302 0321 1 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -2 0 0 2 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.362442550534 0.547159856209 3 11 5 2 1230 0321 2310 0132 1 0 0 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.561554405451 1.003442217581 3 7 6 12 0132 0321 1302 2031 1 1 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 -4 4 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351090794744 0.884493065229 11 12 6 3 2031 2031 0321 0132 1 1 0 1 0 0 0 0 1 0 -1 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 -3 0 3 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.459153365087 0.670443823903 7 4 10 8 1023 0132 1302 0321 1 1 0 0 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 -3 3 0 0 0 1 -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 1.070242200551 0.918972210178 10 9 4 5 1302 1302 0132 2103 1 1 1 0 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 -4 4 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 0.459153365087 0.670443823903 ==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_0110_12']), 'c_1001_12' : d['c_0101_3'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(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' : negation(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' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_12']), 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : d['c_0101_1'], 'c_1100_6' : negation(d['c_0110_12']), 'c_1100_1' : negation(d['c_0110_12']), 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_0011_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0110_5']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_5'], 'c_1010_5' : negation(d['c_0101_10']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : d['c_0011_5'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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'], 'c_1100_12' : negation(d['c_0110_5']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(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_3']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0011_11' : d['c_0011_0'], 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0101_9' : negation(d['c_0011_6']), 'c_0101_8' : d['c_0101_8'], '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_0011_3'], 'c_0110_1' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0011_3'], '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_12, c_0011_3, c_0011_5, c_0011_6, c_0101_1, c_0101_10, c_0101_3, c_0101_8, c_0110_12, c_0110_5, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 849721099900361/2780169948011520*c_1001_2^11 - 1167698706988859/556033989602304*c_1001_2^10 + 13573473430607131/2780169948011520*c_1001_2^9 - 384905129619089/154453886000640*c_1001_2^8 + 19440388576795/6864617155584*c_1001_2^7 - 2056742906197289/185344663200768*c_1001_2^6 - 47829509524347079/2780169948011520*c_1001_2^5 + 9556866644070869/1390084974005760*c_1001_2^4 + 74159576701700599/2780169948011520*c_1001_2^3 + 162059798919369379/2780169948011520*c_1001_2^2 + 2494525006770949/61781554400256*c_1001_2 + 35009576341372501/2780169948011520, c_0011_0 - 1, c_0011_10 - 2263750/131445641*c_1001_2^11 + 7530417/131445641*c_1001_2^10 + 37570323/131445641*c_1001_2^9 - 266646468/131445641*c_1001_2^8 + 570335928/131445641*c_1001_2^7 - 844191117/131445641*c_1001_2^6 + 1583242381/131445641*c_1001_2^5 - 1677521174/131445641*c_1001_2^4 + 1168482818/131445641*c_1001_2^3 - 1867200263/131445641*c_1001_2^2 + 367698009/131445641*c_1001_2 - 335530733/131445641, c_0011_12 - 2263750/131445641*c_1001_2^11 + 7530417/131445641*c_1001_2^10 + 37570323/131445641*c_1001_2^9 - 266646468/131445641*c_1001_2^8 + 570335928/131445641*c_1001_2^7 - 844191117/131445641*c_1001_2^6 + 1583242381/131445641*c_1001_2^5 - 1677521174/131445641*c_1001_2^4 + 1168482818/131445641*c_1001_2^3 - 1867200263/131445641*c_1001_2^2 + 367698009/131445641*c_1001_2 - 335530733/131445641, c_0011_3 + 11223403/262891282*c_1001_2^11 - 104356307/262891282*c_1001_2^10 + 408823711/262891282*c_1001_2^9 - 430018247/131445641*c_1001_2^8 + 1338675573/262891282*c_1001_2^7 - 2042924285/262891282*c_1001_2^6 + 2243528003/262891282*c_1001_2^5 - 942871168/131445641*c_1001_2^4 + 1921215697/262891282*c_1001_2^3 - 779061947/262891282*c_1001_2^2 + 688373627/262891282*c_1001_2 + 245145939/262891282, c_0011_5 - 11223403/262891282*c_1001_2^11 + 104356307/262891282*c_1001_2^10 - 408823711/262891282*c_1001_2^9 + 430018247/131445641*c_1001_2^8 - 1338675573/262891282*c_1001_2^7 + 2042924285/262891282*c_1001_2^6 - 2243528003/262891282*c_1001_2^5 + 942871168/131445641*c_1001_2^4 - 1921215697/262891282*c_1001_2^3 + 779061947/262891282*c_1001_2^2 - 425482345/262891282*c_1001_2 - 245145939/262891282, c_0011_6 + 1, c_0101_1 - 18903815/262891282*c_1001_2^11 + 178120363/262891282*c_1001_2^10 - 703638773/262891282*c_1001_2^9 + 746313338/131445641*c_1001_2^8 - 2359842299/262891282*c_1001_2^7 + 3760829805/262891282*c_1001_2^6 - 4274089197/262891282*c_1001_2^5 + 1771771431/131445641*c_1001_2^4 - 3918262771/262891282*c_1001_2^3 + 1754009205/262891282*c_1001_2^2 - 687890087/262891282*c_1001_2 + 72587281/262891282, c_0101_10 - 22362343/262891282*c_1001_2^11 + 197078749/262891282*c_1001_2^10 - 717095647/262891282*c_1001_2^9 + 680963110/131445641*c_1001_2^8 - 2065929411/262891282*c_1001_2^7 + 3391552591/262891282*c_1001_2^6 - 3401859999/262891282*c_1001_2^5 + 1320935222/131445641*c_1001_2^4 - 3561668021/262891282*c_1001_2^3 + 679335243/262891282*c_1001_2^2 - 732368039/262891282*c_1001_2 + 160658461/262891282, c_0101_3 - 14569083/262891282*c_1001_2^11 + 117015233/262891282*c_1001_2^10 - 354983359/262891282*c_1001_2^9 + 214789965/131445641*c_1001_2^8 - 359413835/262891282*c_1001_2^7 + 717145195/262891282*c_1001_2^6 + 78353189/262891282*c_1001_2^5 - 414259019/131445641*c_1001_2^4 - 464806663/262891282*c_1001_2^3 - 1533860167/262891282*c_1001_2^2 + 290039551/262891282*c_1001_2 - 40140599/262891282, c_0101_8 - 1, c_0110_12 + 3840206/131445641*c_1001_2^11 - 36882028/131445641*c_1001_2^10 + 147407531/131445641*c_1001_2^9 - 316295091/131445641*c_1001_2^8 + 510583363/131445641*c_1001_2^7 - 858952760/131445641*c_1001_2^6 + 1015280597/131445641*c_1001_2^5 - 828900263/131445641*c_1001_2^4 + 998523537/131445641*c_1001_2^3 - 487473629/131445641*c_1001_2^2 + 131203871/131445641*c_1001_2 - 158866610/131445641, c_0110_5 - 18903815/262891282*c_1001_2^11 + 178120363/262891282*c_1001_2^10 - 703638773/262891282*c_1001_2^9 + 746313338/131445641*c_1001_2^8 - 2359842299/262891282*c_1001_2^7 + 3760829805/262891282*c_1001_2^6 - 4274089197/262891282*c_1001_2^5 + 1771771431/131445641*c_1001_2^4 - 3918262771/262891282*c_1001_2^3 + 1754009205/262891282*c_1001_2^2 - 950781369/262891282*c_1001_2 + 72587281/262891282, c_1001_2^12 - 8*c_1001_2^11 + 26*c_1001_2^10 - 45*c_1001_2^9 + 81*c_1001_2^8 - 150*c_1001_2^7 + 136*c_1001_2^6 - 175*c_1001_2^5 + 245*c_1001_2^4 - 28*c_1001_2^3 + 198*c_1001_2^2 - 4*c_1001_2 + 27 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.140 Total time: 0.350 seconds, Total memory usage: 32.09MB