Magma V2.19-8 Wed Aug 21 2013 00:59:50 on localhost [Seed = 3448493814] Type ? for help. Type -D to quit. Loading file "L13n7842__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7842 geometric_solution 11.73921378 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 2 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 2 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.088996358407 1.118469632083 0 4 2 5 0132 1023 1023 0132 1 1 2 0 0 0 -1 1 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 2 -2 0 0 0 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 0.070694046570 0.888453703874 4 0 1 3 1023 0132 1023 3120 1 1 2 0 0 0 0 0 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 0 0 0 -1 0 -2 3 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.070694046570 0.888453703874 2 6 7 0 3120 0132 0132 0132 1 1 2 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 -3 0 3 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 0.455501820797 0.559234816041 1 2 0 5 1023 1023 0132 1230 1 1 2 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.088996358407 1.118469632083 4 8 1 7 3012 0132 0132 3012 1 1 1 2 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 -2 2 0 0 0 0 0 0 3 0 -3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.893760101048 0.917949379419 9 3 9 10 0132 0132 3012 0132 1 1 1 2 0 0 0 0 0 0 0 0 0 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 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 0.680770666072 0.638817087845 11 11 5 3 0132 3201 1230 0132 1 1 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 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.541540528147 1.427672049574 12 5 10 12 0132 0132 1302 2031 1 1 2 1 0 -1 0 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 2 1 -3 0 0 0 0 -3 -1 0 4 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218884029657 0.732978452674 6 6 12 12 0132 1230 1230 0132 1 1 2 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 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 0.625946449803 1.252595691287 8 11 6 11 2031 3120 0132 0213 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 -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 0.863499803955 0.314038125755 7 10 7 10 0132 3120 2310 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.178413086142 0.438661030489 8 8 9 9 0132 1302 0132 3012 1 1 1 2 0 0 0 0 0 0 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 -1 1 0 0 0 0 -3 3 0 0 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625946449803 1.252595691287 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_10'], 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0011_3']), 'c_1001_3' : d['c_1001_10'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), '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' : d['c_0101_11'], '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' : negation(d['1']), 's_2_5' : 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' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : d['c_0110_5'], 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0110_5'], 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_10'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_3']), 'c_1010_2' : negation(d['c_0011_3']), 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0101_12'], 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : negation(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'], 'c_1100_12' : negation(d['c_0011_10']), 's_1_7' : 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' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_12'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7'], 'c_0110_10' : negation(d['c_0101_7']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_12'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_12'], '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_0110_5'], 'c_0110_4' : d['c_0011_12'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : d['c_0101_10']})} 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_12, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_7, c_0110_5, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 126239498719461376/7730076046005*c_1001_10^7 + 66522474538860544/858897338445*c_1001_10^6 - 1130077919550570496/7730076046005*c_1001_10^5 + 1088799132728737792/7730076046005*c_1001_10^4 - 544008173212475392/7730076046005*c_1001_10^3 + 93171712397422592/7730076046005*c_1001_10^2 + 2111065918246912/858897338445*c_1001_10 - 1338208394712064/1546015209201, c_0011_0 - 1, c_0011_10 - 5632/365*c_1001_10^7 + 23968/365*c_1001_10^6 - 37248/365*c_1001_10^5 + 4912/73*c_1001_10^4 - 3936/365*c_1001_10^3 - 3054/365*c_1001_10^2 + 404/365*c_1001_10 + 532/365, c_0011_11 - 11072/365*c_1001_10^7 + 44544/365*c_1001_10^6 - 64944/365*c_1001_10^5 + 39536/365*c_1001_10^4 - 4048/365*c_1001_10^3 - 6052/365*c_1001_10^2 + 187/365*c_1001_10 + 724/365, c_0011_12 + 5952/365*c_1001_10^7 - 23392/365*c_1001_10^6 + 33312/365*c_1001_10^5 - 19704/365*c_1001_10^4 + 1744/365*c_1001_10^3 + 3196/365*c_1001_10^2 + 94/365*c_1001_10 - 201/146, c_0011_3 - 5952/365*c_1001_10^7 + 23392/365*c_1001_10^6 - 33312/365*c_1001_10^5 + 19704/365*c_1001_10^4 - 1744/365*c_1001_10^3 - 3196/365*c_1001_10^2 - 94/365*c_1001_10 + 201/146, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 512/73*c_1001_10^7 - 9408/365*c_1001_10^6 + 11728/365*c_1001_10^5 - 4368/365*c_1001_10^4 - 2644/365*c_1001_10^3 + 2304/365*c_1001_10^2 + 261/365*c_1001_10 - 56/365, c_0101_11 - 5952/365*c_1001_10^7 + 23392/365*c_1001_10^6 - 33312/365*c_1001_10^5 + 19704/365*c_1001_10^4 - 1744/365*c_1001_10^3 - 3196/365*c_1001_10^2 - 94/365*c_1001_10 + 55/146, c_0101_12 - 1024/365*c_1001_10^7 + 5632/365*c_1001_10^6 - 11232/365*c_1001_10^5 + 9456/365*c_1001_10^4 - 1804/365*c_1001_10^3 - 1856/365*c_1001_10^2 + 611/365*c_1001_10 + 256/365, c_0101_7 + c_1001_10, c_0110_5 - 5952/365*c_1001_10^7 + 23392/365*c_1001_10^6 - 33312/365*c_1001_10^5 + 19704/365*c_1001_10^4 - 1744/365*c_1001_10^3 - 3196/365*c_1001_10^2 - 94/365*c_1001_10 + 347/146, c_1001_10^8 - 9/2*c_1001_10^7 + 31/4*c_1001_10^6 - 25/4*c_1001_10^5 + 31/16*c_1001_10^4 + 7/16*c_1001_10^3 - 9/32*c_1001_10^2 - 1/16*c_1001_10 + 9/256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.350 seconds, Total memory usage: 32.09MB