Magma V2.19-8 Tue Aug 20 2013 23:39:55 on localhost [Seed = 3220822794] Type ? for help. Type -D to quit. Loading file "K14n21079__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21079 geometric_solution 9.91483324 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.679773501773 1.125061804348 0 2 6 5 0132 2310 0132 0132 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 1 1 -2 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 0.841920619618 0.677325689550 7 0 8 1 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.094038692210 0.697734239045 9 8 5 0 0132 3012 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167577124056 0.688711479293 10 9 0 6 0132 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.657715709461 0.467079664715 10 6 1 3 2031 0213 0132 3012 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 2 -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 0.363176464831 0.686145809934 4 7 5 1 3201 3201 0213 0132 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 -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 0.946985477500 0.590374578541 2 8 6 10 0132 3201 2310 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976899630731 1.495514167002 3 9 7 2 1230 0321 2310 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601652843777 0.519869615864 3 4 10 8 0132 0132 2031 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.799279453110 1.508541985599 4 7 5 9 0132 0321 1302 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.500562977240 0.795818730755 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0101_8'], 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : d['c_1001_8'], 'c_1010_10' : negation(d['c_1001_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_5']), '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_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_8'], 'c_1100_8' : d['c_0011_0'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : d['c_0011_6'], 'c_1100_6' : d['c_0011_8'], 'c_1100_1' : d['c_0011_8'], 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_1100_10' : d['c_0101_0'], 'c_1010_7' : negation(d['c_1001_8']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_8']), '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_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_8']), 'c_0110_8' : negation(d['c_0011_10']), '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_7'], 'c_0110_5' : d['c_0011_6'], 'c_0110_4' : negation(d['c_0011_5']), '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 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_5, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_7, c_0101_8, c_1001_2, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 10289408223/129059510*c_1001_8^7 - 2504814649/258119020*c_1001_8^6 + 8688246753/258119020*c_1001_8^5 + 6846711992/90341657*c_1001_8^4 - 373201169/40799458*c_1001_8^3 + 24231622199/1806833140*c_1001_8^2 + 474318452439/12647831980*c_1001_8 - 78832212738/3161957995, c_0011_0 - 1, c_0011_10 + 1450897/2081605*c_1001_8^7 + 93058/2081605*c_1001_8^6 + 6293357/4163210*c_1001_8^5 + 1451879/4163210*c_1001_8^4 - 1688992/14571235*c_1001_8^3 - 304043/2081605*c_1001_8^2 - 6543517/5828494*c_1001_8 - 1400801/5828494, c_0011_5 + 1183497/832642*c_1001_8^7 + 2069123/4163210*c_1001_8^6 + 12135487/4163210*c_1001_8^5 + 7459102/2081605*c_1001_8^4 - 418597/4163210*c_1001_8^3 + 11881141/4163210*c_1001_8^2 + 350883/4163210*c_1001_8 - 535126/416321, c_0011_6 + 360122/2081605*c_1001_8^7 + 127589/4163210*c_1001_8^6 - 767228/2081605*c_1001_8^5 + 1551353/4163210*c_1001_8^4 - 17901959/14571235*c_1001_8^3 - 433923/832642*c_1001_8^2 + 6740793/14571235*c_1001_8 - 2083447/5828494, c_0011_8 + 378119/832642*c_1001_8^7 + 1218154/2081605*c_1001_8^6 + 3164357/4163210*c_1001_8^5 + 5651769/4163210*c_1001_8^4 + 6627381/29142470*c_1001_8^3 - 1517027/2081605*c_1001_8^2 + 10620271/29142470*c_1001_8 - 2080735/5828494, c_0101_0 + 4853023/4163210*c_1001_8^7 + 4106263/4163210*c_1001_8^6 + 8047753/4163210*c_1001_8^5 + 7611143/2081605*c_1001_8^4 + 128169/29142470*c_1001_8^3 + 1090133/832642*c_1001_8^2 + 21140877/29142470*c_1001_8 - 2259689/2914247, c_0101_1 + 1811019/2081605*c_1001_8^7 + 62741/832642*c_1001_8^6 + 4758901/4163210*c_1001_8^5 + 1501616/2081605*c_1001_8^4 - 19590951/14571235*c_1001_8^3 - 2777701/4163210*c_1001_8^2 - 19235999/29142470*c_1001_8 - 1742124/2914247, c_0101_7 + 2373567/4163210*c_1001_8^7 - 59899/2081605*c_1001_8^6 + 3718337/4163210*c_1001_8^5 + 2704447/2081605*c_1001_8^4 - 22680739/29142470*c_1001_8^3 + 637279/416321*c_1001_8^2 + 17229983/29142470*c_1001_8 - 1873619/2914247, c_0101_8 - 4210899/4163210*c_1001_8^7 - 1051729/2081605*c_1001_8^6 - 592396/416321*c_1001_8^5 - 1432971/832642*c_1001_8^4 + 4600075/5828494*c_1001_8^3 + 332886/2081605*c_1001_8^2 - 1598547/14571235*c_1001_8 + 2175653/5828494, c_1001_2 - 1771959/2081605*c_1001_8^7 - 2188921/4163210*c_1001_8^6 - 841715/416321*c_1001_8^5 - 950931/416321*c_1001_8^4 - 1975056/2914247*c_1001_8^3 - 5508351/4163210*c_1001_8^2 - 7184334/14571235*c_1001_8 + 1872263/2914247, c_1001_8^8 + 2*c_1001_8^6 + 8/7*c_1001_8^5 - 18/49*c_1001_8^4 + 32/49*c_1001_8^3 - 6/49*c_1001_8^2 - 40/49*c_1001_8 + 25/49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.310 Total time: 0.520 seconds, Total memory usage: 32.09MB