Magma V2.19-8 Tue Aug 20 2013 23:53:01 on localhost [Seed = 21457601] Type ? for help. Type -D to quit. Loading file "L13n4598__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4598 geometric_solution 10.28617105 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 0 1 1 1 0 -1 0 1 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 3 1 -4 1 0 0 -1 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.040006127721 0.797370714756 0 3 6 5 0132 0132 0132 0132 0 1 1 1 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 0 1 -1 0 0 1 0 0 0 0 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.730683813854 0.689438158453 7 0 4 8 0132 0132 2103 0132 0 1 1 1 0 1 -1 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 -3 3 0 0 0 0 0 0 0 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567134112915 0.831431645130 9 1 10 0 0132 0132 0132 0132 0 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 1 0 -1 0 0 0 0 7 -7 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.791743075685 1.287767659965 2 5 0 10 2103 0321 0132 3201 0 1 0 1 0 0 -1 1 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 -1 4 -3 0 0 1 -1 -3 3 0 0 -6 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.226869846452 1.388662540385 6 11 1 4 2103 0132 0132 0321 0 1 0 1 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 -1 1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.226869846452 1.388662540385 7 8 5 1 3120 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.396186742295 0.586095270980 2 9 9 6 0132 2103 3120 3120 1 1 1 1 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 6 -6 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.000000000000 -0.000000000000 9 6 2 11 3120 0132 0132 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685274937223 0.933970346854 3 7 7 8 0132 2103 3120 3120 1 1 1 1 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 0 6 -6 0 0 0 0 0 1 -1 0 0 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.724101241428 0.771663069148 11 4 11 3 0213 2310 3120 0132 0 1 1 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 1 0 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306055145819 0.549722856287 10 5 10 8 0213 0132 3120 0213 0 1 1 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 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306055145819 0.549722856287 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0110_4']), 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_4']), 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : d['c_0011_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : negation(d['c_0110_4']), 'c_1010_10' : negation(d['c_0110_4']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_11'], '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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_10']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_0011_10']), 'c_1100_3' : negation(d['c_0011_10']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_7']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_1001_0'], 'c_1010_5' : negation(d['c_1001_10']), 'c_1010_4' : negation(d['c_1001_10']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_4']), 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0011_11']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_3']), 'c_0110_10' : d['c_0101_3'], '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_3'], '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_0'], 'c_0101_8' : d['c_0101_7'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], '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' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0110_4'], '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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0110_4, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 5516881431/2977133888*c_1001_10^7 + 2924580877/1488566944*c_1001_10^6 - 441845886373/2977133888*c_1001_10^5 + 211948476119/1488566944*c_1001_10^4 + 172903926489/744283472*c_1001_10^3 - 175016521621/744283472*c_1001_10^2 - 68644242719/372141736*c_1001_10 + 2330919347/93035434, c_0011_0 - 1, c_0011_10 + 533587/20391328*c_1001_10^7 - 167897/10195664*c_1001_10^6 + 42487193/20391328*c_1001_10^5 - 11150279/10195664*c_1001_10^4 - 2654582/637229*c_1001_10^3 + 15591315/5097832*c_1001_10^2 + 17102575/5097832*c_1001_10 - 1912973/2548916, c_0011_11 - 533587/20391328*c_1001_10^7 + 167897/10195664*c_1001_10^6 - 42487193/20391328*c_1001_10^5 + 11150279/10195664*c_1001_10^4 + 2654582/637229*c_1001_10^3 - 15591315/5097832*c_1001_10^2 - 17102575/5097832*c_1001_10 + 1912973/2548916, c_0011_4 + 964471/40782656*c_1001_10^7 - 722349/20391328*c_1001_10^6 + 77520533/40782656*c_1001_10^5 - 54003291/20391328*c_1001_10^4 - 6373635/2548916*c_1001_10^3 + 41469787/10195664*c_1001_10^2 + 16622891/10195664*c_1001_10 - 6982685/5097832, c_0011_6 - 419339/5097832*c_1001_10^7 + 69045/1274458*c_1001_10^6 - 33402049/5097832*c_1001_10^5 + 4663379/1274458*c_1001_10^4 + 8242076/637229*c_1001_10^3 - 9571865/1274458*c_1001_10^2 - 14500067/1274458*c_1001_10 - 168553/637229, c_0101_0 - 4268627/81565312*c_1001_10^7 + 795745/40782656*c_1001_10^6 - 338736201/81565312*c_1001_10^5 + 46137735/40782656*c_1001_10^4 + 47711283/5097832*c_1001_10^3 - 57400959/20391328*c_1001_10^2 - 184250199/20391328*c_1001_10 - 16288711/10195664, c_0101_1 - 4268627/81565312*c_1001_10^7 + 795745/40782656*c_1001_10^6 - 338736201/81565312*c_1001_10^5 + 46137735/40782656*c_1001_10^4 + 47711283/5097832*c_1001_10^3 - 57400959/20391328*c_1001_10^2 - 184250199/20391328*c_1001_10 - 16288711/10195664, c_0101_3 - 4063221/81565312*c_1001_10^7 + 1568855/40782656*c_1001_10^6 - 323828495/81565312*c_1001_10^5 + 109543201/40782656*c_1001_10^4 + 39221897/5097832*c_1001_10^3 - 77975273/20391328*c_1001_10^2 - 149085681/20391328*c_1001_10 - 9975233/10195664, c_0101_7 + 4369739/81565312*c_1001_10^7 - 2858393/40782656*c_1001_10^6 + 350737649/81565312*c_1001_10^5 - 211096975/40782656*c_1001_10^4 - 30972595/5097832*c_1001_10^3 + 178688455/20391328*c_1001_10^2 + 80996655/20391328*c_1001_10 - 37752897/10195664, c_0110_4 - 3979205/40782656*c_1001_10^7 + 1711943/20391328*c_1001_10^6 - 317047487/40782656*c_1001_10^5 + 120447489/20391328*c_1001_10^4 + 39081021/2548916*c_1001_10^3 - 123825377/10195664*c_1001_10^2 - 129321041/10195664*c_1001_10 + 12157863/5097832, c_1001_0 - 1, c_1001_10^8 + 79*c_1001_10^6 + 8*c_1001_10^5 - 204*c_1001_10^4 - 12*c_1001_10^3 + 236*c_1001_10^2 + 96*c_1001_10 - 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB