Magma V2.19-8 Wed Aug 21 2013 00:05:08 on localhost [Seed = 4173239938] Type ? for help. Type -D to quit. Loading file "L9a27__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L9a27 geometric_solution 11.18847780 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 1 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498831247292 1.057805134961 0 4 4 5 0132 1023 0132 0132 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 1 -1 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 0.010747135503 0.790359501118 5 0 7 6 0132 0132 0132 0132 1 1 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 1 0 -1 0 0 1 -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 0.719588051896 0.922775508231 6 8 5 0 0132 0132 0132 0132 1 1 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.719588051896 0.922775508231 1 5 0 1 1023 0132 0132 0132 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 -1 1 -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 0.010747135503 0.790359501118 2 4 1 3 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.498831247292 1.057805134961 3 9 2 7 0132 0132 0132 3120 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 1 -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 0.713377872443 0.740671396823 6 8 10 2 3120 0321 0132 0132 1 1 0 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 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 0.419654357834 0.427232613656 11 3 9 7 0132 0132 0132 0321 1 1 0 0 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 0.070379099375 0.591900765305 11 6 10 8 1023 0132 0213 0132 1 1 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 -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 -0.276271932254 0.855438796761 11 9 11 7 3012 0213 1023 0132 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 1 -1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.787464271277 0.608763716513 8 9 10 10 0132 1023 1023 1230 1 1 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 1 -1 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 0.511192339023 1.464202513274 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0101_1'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_7']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0011_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_2_11' : 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' : d['c_1001_7'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : negation(d['c_0101_7']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_7']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_2'], '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' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_7'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : negation(d['c_0011_7']), '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_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : d['c_1001_7']})} 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_11, c_0011_7, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0, c_1001_2, c_1001_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 139546/5661*c_1100_0^9 - 761057/5661*c_1100_0^8 + 3386761/5661*c_1100_0^7 - 2699065/1887*c_1100_0^6 + 14064937/5661*c_1100_0^5 - 17032121/5661*c_1100_0^4 + 5109445/1887*c_1100_0^3 - 9199498/5661*c_1100_0^2 + 3543094/5661*c_1100_0 - 492664/5661, c_0011_0 - 1, c_0011_10 - 1903/629*c_1100_0^9 + 10562/629*c_1100_0^8 - 46753/629*c_1100_0^7 + 113015/629*c_1100_0^6 - 194466/629*c_1100_0^5 + 236357/629*c_1100_0^4 - 210729/629*c_1100_0^3 + 126747/629*c_1100_0^2 - 47897/629*c_1100_0 + 6837/629, c_0011_11 - 3278/629*c_1100_0^9 + 18528/629*c_1100_0^8 - 82272/629*c_1100_0^7 + 201974/629*c_1100_0^6 - 350872/629*c_1100_0^5 + 429761/629*c_1100_0^4 - 385143/629*c_1100_0^3 + 231049/629*c_1100_0^2 - 86435/629*c_1100_0 + 11348/629, c_0011_7 + 2953/629*c_1100_0^9 - 16668/629*c_1100_0^8 + 73625/629*c_1100_0^7 - 179838/629*c_1100_0^6 + 308208/629*c_1100_0^5 - 373503/629*c_1100_0^4 + 329428/629*c_1100_0^3 - 194319/629*c_1100_0^2 + 70590/629*c_1100_0 - 9161/629, c_0101_0 - 1, c_0101_1 + 186/629*c_1100_0^9 - 1229/629*c_1100_0^8 + 5630/629*c_1100_0^7 - 15622/629*c_1100_0^6 + 29447/629*c_1100_0^5 - 39412/629*c_1100_0^4 + 37431/629*c_1100_0^3 - 24611/629*c_1100_0^2 + 9494/629*c_1100_0 - 1720/629, c_0101_2 - 905/629*c_1100_0^9 + 5131/629*c_1100_0^8 - 22598/629*c_1100_0^7 + 55118/629*c_1100_0^6 - 93488/629*c_1100_0^5 + 111156/629*c_1100_0^4 - 95535/629*c_1100_0^3 + 53604/629*c_1100_0^2 - 17172/629*c_1100_0 + 1416/629, c_0101_7 - 1140/629*c_1100_0^9 + 6234/629*c_1100_0^8 - 27486/629*c_1100_0^7 + 65434/629*c_1100_0^6 - 111109/629*c_1100_0^5 + 132781/629*c_1100_0^4 - 116419/629*c_1100_0^3 + 67631/629*c_1100_0^2 - 24710/629*c_1100_0 + 3278/629, c_1001_0 - 905/629*c_1100_0^9 + 5131/629*c_1100_0^8 - 22598/629*c_1100_0^7 + 55118/629*c_1100_0^6 - 93488/629*c_1100_0^5 + 111156/629*c_1100_0^4 - 95535/629*c_1100_0^3 + 53604/629*c_1100_0^2 - 17172/629*c_1100_0 + 1416/629, c_1001_2 - 1, c_1001_7 + 90/629*c_1100_0^9 - 128/629*c_1100_0^8 + 614/629*c_1100_0^7 + 1389/629*c_1100_0^6 - 2633/629*c_1100_0^5 + 4365/629*c_1100_0^4 - 2280/629*c_1100_0^3 - 59/629*c_1100_0^2 + 2646/629*c_1100_0 - 954/629, c_1100_0^10 - 6*c_1100_0^9 + 27*c_1100_0^8 - 70*c_1100_0^7 + 127*c_1100_0^6 - 165*c_1100_0^5 + 158*c_1100_0^4 - 106*c_1100_0^3 + 47*c_1100_0^2 - 11*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB