Magma V2.19-8 Tue Aug 20 2013 23:43:52 on localhost [Seed = 896749608] Type ? for help. Type -D to quit. Loading file "L14n13175__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13175 geometric_solution 10.06358711 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 1 0 1 0 0 0 0 -1 0 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 1 0 -1 -9 0 0 9 -1 -1 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.903176362293 1.147751374666 0 5 7 6 0132 0132 0132 0132 1 1 1 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 0 0 0 9 0 -9 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 0.557876320673 0.436003353790 7 0 9 8 0132 0132 0132 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 -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 0.543032095169 0.557651007325 8 4 10 0 0321 2310 0132 0132 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.420888418116 0.971046148170 5 9 0 3 0132 0132 0132 3201 1 1 1 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 0 1 -1 10 0 -9 -1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.307376946913 0.569272034618 4 1 8 6 0132 0132 2310 3120 1 1 0 1 0 0 0 0 -1 0 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 -10 0 0 10 -2 0 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887196096890 0.869702147030 5 7 1 9 3120 3120 0132 3120 1 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 0 0 0 0 0 0 0 -10 0 0 10 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.112803903110 0.869702147030 2 6 10 1 0132 3120 3201 0132 1 1 0 1 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 -9 9 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887196096890 0.869702147030 3 5 2 10 0321 3201 0132 3012 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 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 1.058812498331 0.912281965670 6 4 10 2 3120 0132 0213 0132 1 1 0 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 0 0 0 -10 0 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.422872299785 1.031052055223 7 9 8 3 2310 0213 1230 0132 1 1 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 0 0 0 0 9 -10 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544159720227 1.338148761036 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_5']), 'c_1001_3' : negation(d['c_1001_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0101_5']), 'c_1010_10' : negation(d['c_1001_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : 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' : negation(d['c_1001_10']), 'c_1100_8' : negation(d['c_1001_10']), 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0011_3']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_5']), 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : negation(d['c_0101_10']), '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_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], '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_10' : d['c_0101_3'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : negation(d['c_0011_8']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_8']), 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_3']), 'c_0110_1' : negation(d['c_0011_8']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_8']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], '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_3, c_0011_6, c_0011_8, c_0101_1, c_0101_10, c_0101_3, c_0101_5, c_1001_10, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 7659802970327/93649251718*c_1001_2^9 - 2307240721051/4256784169*c_1001_2^8 + 30575235547645/34054273352*c_1001_2^7 - 346797783380307/374597006872*c_1001_2^6 + 295499385851365/374597006872*c_1001_2^5 + 120603978011573/374597006872*c_1001_2^4 - 33149432977993/374597006872*c_1001_2^3 + 84199309505493/93649251718*c_1001_2^2 - 106944702885367/187298503436*c_1001_2 + 29177432968921/374597006872, c_0011_0 - 1, c_0011_10 + 1, c_0011_3 - 399716116/386980379*c_1001_2^9 - 2831598616/386980379*c_1001_2^8 + 3029498733/386980379*c_1001_2^7 - 3547491289/386980379*c_1001_2^6 + 3000733999/386980379*c_1001_2^5 + 2163682271/386980379*c_1001_2^4 + 1479204680/386980379*c_1001_2^3 + 5106552745/386980379*c_1001_2^2 + 75416457/386980379*c_1001_2 + 624524488/386980379, c_0011_6 + 734216772/386980379*c_1001_2^9 + 5345730136/386980379*c_1001_2^8 - 4558830849/386980379*c_1001_2^7 + 5295948365/386980379*c_1001_2^6 - 4130349037/386980379*c_1001_2^5 - 5537041497/386980379*c_1001_2^4 - 2544308871/386980379*c_1001_2^3 - 10130649908/386980379*c_1001_2^2 - 580744152/386980379*c_1001_2 - 427953141/386980379, c_0011_8 + 1, c_0101_1 + 62470098/386980379*c_1001_2^9 + 547132236/386980379*c_1001_2^8 + 554224951/773960758*c_1001_2^7 - 401213907/773960758*c_1001_2^6 + 386350287/773960758*c_1001_2^5 - 1229632279/773960758*c_1001_2^4 - 2399661123/773960758*c_1001_2^3 - 1133746840/386980379*c_1001_2^2 - 1135536471/386980379*c_1001_2 - 306969243/773960758, c_0101_10 - 462186214/386980379*c_1001_2^9 - 3378730852/386980379*c_1001_2^8 + 5504772515/773960758*c_1001_2^7 - 6693768671/773960758*c_1001_2^6 + 5615117711/773960758*c_1001_2^5 + 5556996821/773960758*c_1001_2^4 + 5358070483/773960758*c_1001_2^3 + 6240299585/386980379*c_1001_2^2 + 823972549/386980379*c_1001_2 + 1556018219/773960758, c_0101_3 + 493986270/386980379*c_1001_2^9 + 3524097424/386980379*c_1001_2^8 - 7296987911/773960758*c_1001_2^7 + 7291678733/773960758*c_1001_2^6 - 5616486095/773960758*c_1001_2^5 - 7235455197/773960758*c_1001_2^4 - 2125813021/773960758*c_1001_2^3 - 6468412376/386980379*c_1001_2^2 + 506011516/386980379*c_1001_2 - 1054813123/773960758, c_0101_5 + 493986270/386980379*c_1001_2^9 + 3524097424/386980379*c_1001_2^8 - 7296987911/773960758*c_1001_2^7 + 7291678733/773960758*c_1001_2^6 - 5616486095/773960758*c_1001_2^5 - 7235455197/773960758*c_1001_2^4 - 2125813021/773960758*c_1001_2^3 - 6468412376/386980379*c_1001_2^2 + 506011516/386980379*c_1001_2 - 1054813123/773960758, c_1001_10 - 333522582/386980379*c_1001_2^9 - 2404705844/386980379*c_1001_2^8 + 4458923339/773960758*c_1001_2^7 - 5301674623/773960758*c_1001_2^6 + 4199861771/773960758*c_1001_2^5 + 4177496601/773960758*c_1001_2^4 + 2124248223/773960758*c_1001_2^3 + 4377598586/386980379*c_1001_2^2 - 221487646/386980379*c_1001_2 + 1002055841/773960758, c_1001_2^10 + 7*c_1001_2^9 - 33/4*c_1001_2^8 + 9*c_1001_2^7 - 15/2*c_1001_2^6 - 11/2*c_1001_2^5 - 2*c_1001_2^4 - 49/4*c_1001_2^3 + 5/2*c_1001_2^2 - 5/4*c_1001_2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.250 seconds, Total memory usage: 32.09MB