Magma V2.19-8 Tue Aug 20 2013 23:39:11 on localhost [Seed = 3785852303] Type ? for help. Type -D to quit. Loading file "L11a364__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a364 geometric_solution 8.43498536 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 1 0132 0132 0132 3201 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 0.858284813108 0.259083065704 0 0 1 1 0132 2310 1230 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 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 1.361644686769 0.445647470947 4 0 3 5 0132 0132 1302 0132 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 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 0.782637234544 0.546087338567 2 5 6 0 2031 0132 0132 0132 1 1 1 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 1 0 -1 0 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.782637234544 0.546087338567 2 7 8 5 0132 0132 0132 2103 0 0 1 1 0 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 -3 3 -1 0 1 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349207778918 1.138676082745 6 3 2 4 0321 0132 0132 2103 1 0 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 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 0.484366962799 0.279646535796 5 9 7 3 0321 0132 3201 0132 1 1 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 1 0 -1 0 0 -1 1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349207778918 1.138676082745 6 4 9 8 2310 0132 3120 3120 0 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 0 0 0 0 1 -1 0 0 0 0 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.030159237974 0.671486654758 7 9 9 4 3120 1302 3201 0132 0 0 1 0 0 0 -1 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 0 -3 3 0 0 1 -1 3 -1 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566570544374 0.592588744178 8 6 7 8 2310 0132 3120 2031 1 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 0 1 0 0 0 0 -1 0 0 1 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566570544374 0.592588744178 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : negation(d['c_1001_3']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_1001_3'], 'c_1001_8' : negation(d['c_0101_8']), 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : d['c_0011_8'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0011_0'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_3'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_1001_3'], 'c_1010_4' : negation(d['c_1001_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_0011_8'], 'c_1010_8' : negation(d['c_0011_8']), '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_6']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(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_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : negation(d['c_0101_4']), 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0011_3'], 'c_0101_2' : negation(d['c_0011_3']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : negation(d['c_0101_8']), 'c_0110_8' : d['c_0101_4'], '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_4'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : d['c_0101_4'], 'c_0110_6' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_4, c_0101_8, c_1001_0, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 1818732/1357915*c_1001_3^10 - 168617/1357915*c_1001_3^9 - 6774148/1357915*c_1001_3^8 - 639427/1357915*c_1001_3^7 + 2695221/271583*c_1001_3^6 + 221298/104455*c_1001_3^5 + 8874818/1357915*c_1001_3^4 - 5971884/1357915*c_1001_3^3 + 1394602/1357915*c_1001_3^2 - 6955857/1357915*c_1001_3 - 7812902/1357915, c_0011_0 - 1, c_0011_3 + 1, c_0011_6 + 1252/8035*c_1001_3^10 - 607/8035*c_1001_3^9 + 3866/8035*c_1001_3^8 - 2493/8035*c_1001_3^7 - 11829/8035*c_1001_3^6 + 1853/8035*c_1001_3^5 + 2259/8035*c_1001_3^4 + 6084/8035*c_1001_3^3 - 1336/1607*c_1001_3^2 + 1216/1607*c_1001_3 + 5619/8035, c_0011_8 + 1252/8035*c_1001_3^10 - 607/8035*c_1001_3^9 + 3866/8035*c_1001_3^8 - 2493/8035*c_1001_3^7 - 11829/8035*c_1001_3^6 + 1853/8035*c_1001_3^5 + 2259/8035*c_1001_3^4 + 6084/8035*c_1001_3^3 + 271/1607*c_1001_3^2 + 1216/1607*c_1001_3 + 5619/8035, c_0101_0 - 592/8035*c_1001_3^10 - 1818/8035*c_1001_3^9 - 1751/8035*c_1001_3^8 - 7652/8035*c_1001_3^7 + 6004/8035*c_1001_3^6 + 8237/8035*c_1001_3^5 - 144/8035*c_1001_3^4 + 1821/8035*c_1001_3^3 - 2495/1607*c_1001_3^2 + 2906/1607*c_1001_3 - 13259/8035, c_0101_1 + 69/8035*c_1001_3^10 - 1824/8035*c_1001_3^9 + 842/8035*c_1001_3^8 - 7306/8035*c_1001_3^7 + 3372/8035*c_1001_3^6 + 10916/8035*c_1001_3^5 + 5663/8035*c_1001_3^4 + 10578/8035*c_1001_3^3 - 2307/1607*c_1001_3^2 + 2783/1607*c_1001_3 - 17307/8035, c_0101_4 + c_1001_3, c_0101_8 - 12/1607*c_1001_3^10 + 1097/8035*c_1001_3^9 + 246/8035*c_1001_3^8 + 1061/1607*c_1001_3^7 + 2867/8035*c_1001_3^6 - 2086/8035*c_1001_3^5 - 1361/8035*c_1001_3^4 - 2189/1607*c_1001_3^3 + 2764/8035*c_1001_3^2 - 7279/8035*c_1001_3 - 3396/8035, c_1001_0 + 1818/8035*c_1001_3^10 - 617/8035*c_1001_3^9 + 7652/8035*c_1001_3^8 - 2452/8035*c_1001_3^7 - 1529/1607*c_1001_3^6 + 3104/8035*c_1001_3^5 - 3597/8035*c_1001_3^4 + 14251/8035*c_1001_3^3 - 16898/8035*c_1001_3^2 + 11483/8035*c_1001_3 - 8627/8035, c_1001_3^11 + 4*c_1001_3^9 - 6*c_1001_3^7 - c_1001_3^6 - 5*c_1001_3^5 + 3*c_1001_3^4 - 3*c_1001_3^3 + 4*c_1001_3^2 + 3*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.240 seconds, Total memory usage: 32.09MB