Magma V2.19-8 Tue Aug 20 2013 17:54:58 on localhost [Seed = 3684330602] Type ? for help. Type -D to quit. Loading file "11_298__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_298 geometric_solution 7.75445376 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 8 1 2 3 4 0132 0132 0132 0132 0 0 0 0 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 0 -1 0 0 0 0 1 -2 0 1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.332206478569 0.775689973537 0 5 4 6 0132 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.001286504266 1.098755667755 7 0 6 3 0132 0132 3012 2310 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 -2 0 2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.018831066944 0.779734252493 2 6 7 0 3201 3012 1230 0132 0 0 0 0 0 0 0 0 -1 0 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 -2 0 2 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638450433514 0.917568750230 1 7 0 5 2310 1230 0132 1023 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 0 0 1 -1 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638450433514 0.917568750230 7 1 6 4 1023 0132 2031 1023 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 -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 0.848797269796 0.975933740502 3 2 1 5 1230 1230 0132 1302 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 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 0.139564434564 0.752590391679 2 5 4 3 0132 1023 3012 3012 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 0 1 -1 0 0 0 0 0 2 0 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440830779532 0.974022194614 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(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' : negation(d['1']), 's_2_7' : 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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_3'], 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_6']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0101_3']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_3'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_6'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1923632389/652647644*c_0101_3^7 - 3211817461/652647644*c_0101_3^6 - 2988655867/326323822*c_0101_3^5 - 7834013875/652647644*c_0101_3^4 - 12703634379/652647644*c_0101_3^3 - 631172083/59331604*c_0101_3^2 - 3890821783/326323822*c_0101_3 - 1478710539/163161911, c_0011_0 - 1, c_0011_3 + 38038/780679*c_0101_3^7 + 107298/780679*c_0101_3^6 + 94907/780679*c_0101_3^5 + 383838/780679*c_0101_3^4 + 415010/780679*c_0101_3^3 + 595835/780679*c_0101_3^2 + 610142/780679*c_0101_3 + 714948/780679, c_0011_4 + 576702/780679*c_0101_3^7 + 1518156/780679*c_0101_3^6 + 2131373/780679*c_0101_3^5 + 2483819/780679*c_0101_3^4 + 3115031/780679*c_0101_3^3 + 2039648/780679*c_0101_3^2 + 427696/780679*c_0101_3 + 705589/780679, c_0011_6 - 38038/780679*c_0101_3^7 - 107298/780679*c_0101_3^6 - 94907/780679*c_0101_3^5 - 383838/780679*c_0101_3^4 - 415010/780679*c_0101_3^3 - 595835/780679*c_0101_3^2 + 170537/780679*c_0101_3 + 65731/780679, c_0101_0 + 654066/780679*c_0101_3^7 + 1488993/780679*c_0101_3^6 + 2687300/780679*c_0101_3^5 + 3690317/780679*c_0101_3^4 + 5006426/780679*c_0101_3^3 + 3411537/780679*c_0101_3^2 + 2303642/780679*c_0101_3 + 1760016/780679, c_0101_1 - 198884/780679*c_0101_3^7 - 257305/780679*c_0101_3^6 - 408591/780679*c_0101_3^5 - 587504/780679*c_0101_3^4 - 847032/780679*c_0101_3^3 + 293251/780679*c_0101_3^2 - 59978/780679*c_0101_3 - 454815/780679, c_0101_2 - 234731/780679*c_0101_3^7 - 808958/780679*c_0101_3^6 - 1369938/780679*c_0101_3^5 - 1658941/780679*c_0101_3^4 - 1463405/780679*c_0101_3^3 - 1103392/780679*c_0101_3^2 - 310004/780679*c_0101_3 + 3216/780679, c_0101_3^8 + 22/7*c_0101_3^7 + 39/7*c_0101_3^6 + 54/7*c_0101_3^5 + 73/7*c_0101_3^4 + 10*c_0101_3^3 + 6*c_0101_3^2 + 33/7*c_0101_3 + 19/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB