Magma V2.19-8 Tue Aug 20 2013 17:55:34 on localhost [Seed = 2378971742] Type ? for help. Type -D to quit. Loading file "8_8__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 8_8 geometric_solution 7.80134122 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 9 1 1 2 3 0132 0213 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 -1 0 1 1 0 -1 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.921129913525 0.724091654277 0 4 0 5 0132 0132 0213 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 -1 1 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 0.673272357380 1.376832394809 6 7 5 0 0132 0132 0213 0132 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 0 0 0 -4 0 3 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 0.788455765518 0.320786627100 4 5 0 8 0213 0321 0132 0132 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 -1 1 0 0 0 0 -1 -3 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756861767318 0.510753435033 3 1 7 7 0213 0132 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.373075261943 0.612352893367 8 2 1 3 0132 0213 0132 0321 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 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.501565191740 0.580424945394 2 7 8 8 0132 1230 0132 0321 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 1 -1 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677077844118 0.501176340829 4 2 6 4 3120 0132 3012 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 1 0 -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 0.816296887017 0.797323395086 5 6 3 6 0132 0321 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.045847986577 0.706267999811 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_2'], 'c_1001_6' : d['c_0101_7'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_2'], 'c_1001_8' : d['c_1001_8'], 's_2_8' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_0_8' : d['1'], 's_0_6' : negation(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_8' : d['c_1001_8'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_1001_8'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_8'], 'c_1100_3' : d['c_1001_8'], 'c_1100_2' : d['c_1001_8'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0101_7'], 'c_1010_5' : d['c_1001_8'], 'c_1010_4' : d['c_0011_2'], 'c_1010_3' : d['c_1001_8'], 'c_1010_2' : d['c_0011_2'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_3'], 'c_1010_8' : d['c_0101_7'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_8' : negation(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_8' : d['1'], 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], '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_0011_3'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_3']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0011_5']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_5, c_0101_0, c_0101_7, c_1001_2, c_1001_3, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 414787503619/19863391450*c_1001_8^11 + 742508830187/3972678290*c_1001_8^10 - 10419525419939/19863391450*c_1001_8^9 + 641056558663/1418813675*c_1001_8^8 - 116274060356/1986339145*c_1001_8^7 + 1769408606227/9931695725*c_1001_8^6 - 6743205132863/19863391450*c_1001_8^5 - 6445079048914/9931695725*c_1001_8^4 + 463570922639/9931695725*c_1001_8^3 - 440129826148/9931695725*c_1001_8^2 - 39313964059/19863391450*c_1001_8 - 410360482367/9931695725, c_0011_0 - 1, c_0011_2 + 1103211/2415002*c_1001_8^11 - 4966067/1207501*c_1001_8^10 + 14283857/1207501*c_1001_8^9 - 28481297/2415002*c_1001_8^8 + 7096259/1207501*c_1001_8^7 - 10836453/1207501*c_1001_8^6 + 26838363/2415002*c_1001_8^5 + 23845559/2415002*c_1001_8^4 + 4188733/1207501*c_1001_8^3 + 1951055/1207501*c_1001_8^2 + 2377225/2415002*c_1001_8 + 2874997/2415002, c_0011_3 + 412859/2415002*c_1001_8^11 - 1926808/1207501*c_1001_8^10 + 5913986/1207501*c_1001_8^9 - 13411351/2415002*c_1001_8^8 + 3482352/1207501*c_1001_8^7 - 4713809/1207501*c_1001_8^6 + 15144307/2415002*c_1001_8^5 + 2569339/2415002*c_1001_8^4 + 1462446/1207501*c_1001_8^3 - 2475950/1207501*c_1001_8^2 + 1480441/2415002*c_1001_8 + 114593/2415002, c_0011_5 + 216735/1207501*c_1001_8^11 - 2329160/1207501*c_1001_8^10 + 9280422/1207501*c_1001_8^9 - 17836972/1207501*c_1001_8^8 + 19908742/1207501*c_1001_8^7 - 16881956/1207501*c_1001_8^6 + 15906882/1207501*c_1001_8^5 - 9718561/1207501*c_1001_8^4 + 2340370/1207501*c_1001_8^3 + 955652/1207501*c_1001_8^2 + 1094446/1207501*c_1001_8 - 1018656/1207501, c_0101_0 + 1251255/2415002*c_1001_8^11 - 5573351/1207501*c_1001_8^10 + 15544217/1207501*c_1001_8^9 - 26950851/2415002*c_1001_8^8 + 3174676/1207501*c_1001_8^7 - 8586599/1207501*c_1001_8^6 + 28844783/2415002*c_1001_8^5 + 30497571/2415002*c_1001_8^4 + 2614410/1207501*c_1001_8^3 + 826033/1207501*c_1001_8^2 + 3560569/2415002*c_1001_8 + 3197371/2415002, c_0101_7 + 393163/1207501*c_1001_8^11 - 3928791/1207501*c_1001_8^10 + 13824125/1207501*c_1001_8^9 - 21565104/1207501*c_1001_8^8 + 19480980/1207501*c_1001_8^7 - 18829301/1207501*c_1001_8^6 + 22796320/1207501*c_1001_8^5 - 7792895/1207501*c_1001_8^4 + 1921192/1207501*c_1001_8^3 - 1588302/1207501*c_1001_8^2 + 1015871/1207501*c_1001_8 - 500873/1207501, c_1001_2 - 297321/1207501*c_1001_8^11 + 2807169/1207501*c_1001_8^10 - 8767349/1207501*c_1001_8^9 + 9991538/1207501*c_1001_8^8 - 3520353/1207501*c_1001_8^7 + 2309428/1207501*c_1001_8^6 - 6678673/1207501*c_1001_8^5 - 4723205/1207501*c_1001_8^4 + 4127708/1207501*c_1001_8^3 - 662161/1207501*c_1001_8^2 - 1760999/1207501*c_1001_8 - 304523/1207501, c_1001_3 - 598599/2415002*c_1001_8^11 + 2589672/1207501*c_1001_8^10 - 6847326/1207501*c_1001_8^9 + 10900887/2415002*c_1001_8^8 - 2875771/1207501*c_1001_8^7 + 7793256/1207501*c_1001_8^6 - 17523349/2415002*c_1001_8^5 - 11752237/2415002*c_1001_8^4 - 7174502/1207501*c_1001_8^3 - 905900/1207501*c_1001_8^2 - 878959/2415002*c_1001_8 - 1603131/2415002, c_1001_8^12 - 9*c_1001_8^11 + 26*c_1001_8^10 - 27*c_1001_8^9 + 17*c_1001_8^8 - 26*c_1001_8^7 + 31*c_1001_8^6 + 14*c_1001_8^5 + 15*c_1001_8^4 + 2*c_1001_8^3 + 5*c_1001_8^2 + 2*c_1001_8 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB