Magma V2.19-8 Tue Aug 20 2013 23:47:24 on localhost [Seed = 3137130738] Type ? for help. Type -D to quit. Loading file "L10a68__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a68 geometric_solution 11.39239158 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 3201 0132 0132 1 1 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 0 0 0 -1 0 1 0 0 0 0 1 1 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.029811769370 1.403564148567 0 2 0 3 0132 3120 2310 3120 1 1 1 1 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 0 0 0 1 -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 0.660184719882 0.463145361604 4 1 5 0 0132 3120 0132 0132 1 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 0 0 0 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 0.369627049488 0.940418786963 1 5 0 4 3120 0132 0132 0132 1 1 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 -1 1 1 0 0 -1 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369627049488 0.940418786963 2 6 3 7 0132 0132 0132 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 -1 1 0 0 1 -1 -1 2 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750950030627 0.586256797080 8 3 9 2 0132 0132 0132 0132 1 1 1 1 0 0 0 0 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 0 0 0 0 0 0 0 -2 2 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.750950030627 0.586256797080 8 4 8 10 1023 0132 1230 0132 1 1 1 1 0 0 0 0 -1 0 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 -2 0 2 0 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540836783699 0.572165838986 11 11 4 9 0132 1230 0132 0132 1 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 0 0 0 0 1 -1 0 -1 0 1 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 0.540836783699 0.572165838986 5 6 11 6 0132 1023 0132 3012 1 1 1 1 0 1 0 -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 2 0 -2 0 0 0 0 2 0 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540836783699 0.572165838986 10 10 7 5 3012 0132 0132 0132 1 1 1 0 0 0 0 0 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 2 0 0 -2 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.540836783699 0.572165838986 11 9 6 9 1230 0132 0132 1230 1 1 0 1 0 0 0 0 1 0 0 -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 2 0 0 -2 1 -3 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127511168376 0.923029496880 7 10 7 8 0132 3012 3012 0132 1 1 1 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 -1 1 0 1 0 -1 0 0 -2 0 2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.127511168376 0.923029496880 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : d['c_1001_10'], 'c_1001_4' : d['c_1001_10'], 'c_1001_7' : d['c_1001_6'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : negation(d['c_1001_1']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : d['c_0101_11'], 's_0_10' : d['1'], 's_0_11' : 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' : 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' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_1001_6']), 'c_1100_10' : d['c_0101_5'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_11'], 'c_1010_6' : d['c_1001_10'], 'c_1010_5' : negation(d['c_1001_1']), 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : d['c_1001_10'], 'c_1010_8' : 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' : negation(d['c_0011_10']), 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0011_6' : d['c_0011_2'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : negation(d['c_0101_10']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_2'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_11'], 'c_1100_8' : negation(d['c_1001_6'])})} 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_2, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0101_5, c_1001_1, c_1001_10, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 26040669117129/498726188800*c_1100_0^14 + 166464621924327/498726188800*c_1100_0^13 - 551843722993337/498726188800*c_1100_0^12 + 129134066705807/49872618880*c_1100_0^11 - 2351424298255071/498726188800*c_1100_0^10 + 215038177990357/31170386800*c_1100_0^9 - 593324946901541/71246598400*c_1100_0^8 + 29956549242727/3562329920*c_1100_0^7 - 3777114788678453/498726188800*c_1100_0^6 + 3061267609372697/498726188800*c_1100_0^5 - 464638768871177/99745237760*c_1100_0^4 + 920605618819049/249363094400*c_1100_0^3 - 1201408417806111/498726188800*c_1100_0^2 + 127817656938439/99745237760*c_1100_0 - 337057997535403/498726188800, c_0011_0 - 1, c_0011_10 - 1, c_0011_2 + c_1100_0, c_0101_0 - 5203/365575*c_1100_0^14 - 85086/365575*c_1100_0^13 + 604291/365575*c_1100_0^12 - 380432/73115*c_1100_0^11 + 4028678/365575*c_1100_0^10 - 6499666/365575*c_1100_0^9 + 1169488/52225*c_1100_0^8 - 234984/10445*c_1100_0^7 + 6696279/365575*c_1100_0^6 - 5489046/365575*c_1100_0^5 + 897801/73115*c_1100_0^4 - 3157864/365575*c_1100_0^3 + 2380423/365575*c_1100_0^2 - 205542/73115*c_1100_0 - 120971/365575, c_0101_10 - 15587/365575*c_1100_0^14 + 109131/365575*c_1100_0^13 - 390861/365575*c_1100_0^12 + 191222/73115*c_1100_0^11 - 1772613/365575*c_1100_0^10 + 2535636/365575*c_1100_0^9 - 404523/52225*c_1100_0^8 + 71224/10445*c_1100_0^7 - 1752634/365575*c_1100_0^6 + 1032566/365575*c_1100_0^5 - 133436/73115*c_1100_0^4 + 562544/365575*c_1100_0^3 - 459308/365575*c_1100_0^2 + 28057/73115*c_1100_0 - 122034/365575, c_0101_11 + 60909/365575*c_1100_0^14 - 425417/365575*c_1100_0^13 + 1471727/365575*c_1100_0^12 - 697484/73115*c_1100_0^11 + 6397591/365575*c_1100_0^10 - 9413952/365575*c_1100_0^9 + 1615411/52225*c_1100_0^8 - 321548/10445*c_1100_0^7 + 9815713/365575*c_1100_0^6 - 7876887/365575*c_1100_0^5 + 1135062/73115*c_1100_0^4 - 4325458/365575*c_1100_0^3 + 3280981/365575*c_1100_0^2 - 255849/73115*c_1100_0 + 601738/365575, c_0101_2 + c_1100_0^2 - c_1100_0 + 1, c_0101_5 + 473/365575*c_1100_0^14 - 25499/365575*c_1100_0^13 + 144469/365575*c_1100_0^12 - 85058/73115*c_1100_0^11 + 896652/365575*c_1100_0^10 - 1502869/365575*c_1100_0^9 + 292492/52225*c_1100_0^8 - 65996/10445*c_1100_0^7 + 2182911/365575*c_1100_0^6 - 1760914/365575*c_1100_0^5 + 237429/73115*c_1100_0^4 - 643476/365575*c_1100_0^3 + 182407/365575*c_1100_0^2 + 5392/73115*c_1100_0 - 121939/365575, c_1001_1 - 5203/365575*c_1100_0^14 - 85086/365575*c_1100_0^13 + 604291/365575*c_1100_0^12 - 380432/73115*c_1100_0^11 + 4028678/365575*c_1100_0^10 - 6499666/365575*c_1100_0^9 + 1169488/52225*c_1100_0^8 - 234984/10445*c_1100_0^7 + 6696279/365575*c_1100_0^6 - 5489046/365575*c_1100_0^5 + 897801/73115*c_1100_0^4 - 3157864/365575*c_1100_0^3 + 2380423/365575*c_1100_0^2 - 205542/73115*c_1100_0 - 120971/365575, c_1001_10 - c_1100_0^2 + c_1100_0 - 1, c_1001_6 - 473/365575*c_1100_0^14 + 25499/365575*c_1100_0^13 - 144469/365575*c_1100_0^12 + 85058/73115*c_1100_0^11 - 896652/365575*c_1100_0^10 + 1502869/365575*c_1100_0^9 - 292492/52225*c_1100_0^8 + 65996/10445*c_1100_0^7 - 2182911/365575*c_1100_0^6 + 1760914/365575*c_1100_0^5 - 237429/73115*c_1100_0^4 + 643476/365575*c_1100_0^3 - 182407/365575*c_1100_0^2 - 5392/73115*c_1100_0 + 121939/365575, c_1100_0^15 - 7*c_1100_0^14 + 25*c_1100_0^13 - 62*c_1100_0^12 + 119*c_1100_0^11 - 184*c_1100_0^10 + 235*c_1100_0^9 - 252*c_1100_0^8 + 237*c_1100_0^7 - 201*c_1100_0^6 + 157*c_1100_0^5 - 122*c_1100_0^4 + 87*c_1100_0^3 - 51*c_1100_0^2 + 27*c_1100_0 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB