Magma V2.19-8 Tue Aug 20 2013 23:38:58 on localhost [Seed = 3465063086] Type ? for help. Type -D to quit. Loading file "K12n438__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n438 geometric_solution 10.56579905 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621195584827 0.979993782784 0 5 5 2 0132 0132 3201 2310 0 0 0 0 0 1 -1 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 -8 8 0 0 0 0 0 9 -8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.024893386244 0.636374561199 1 0 7 6 3201 0132 0132 0132 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 1 -1 0 1 0 0 -1 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.621195584827 0.979993782784 7 8 9 0 0213 0132 0132 0132 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.643964422843 0.558544908974 9 8 0 6 0132 0321 0132 1023 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 -1 1 0 0 0 0 -9 9 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504804602900 0.686271500500 1 1 8 10 2310 0132 2103 0132 0 0 0 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 8 -8 0 0 0 0 0 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649748862032 1.712239971716 9 10 2 4 1023 2310 0132 1023 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 1 -1 0 0 0 0 9 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.504804602900 0.686271500500 3 10 9 2 0213 2031 1023 0132 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 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 0.643964422843 0.558544908974 5 3 10 4 2103 0132 2310 0321 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 0 0 0 0 1 -1 8 1 0 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760988796630 0.735835186456 4 6 7 3 0132 1023 1023 0132 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 1 -1 1 0 0 -1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796899911000 1.161242299587 7 8 5 6 1302 3201 0132 3201 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320883680879 0.656668909606 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0101_9'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_1001_0'], 'c_1010_10' : negation(d['c_1001_0']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_7']), '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' : d['c_1100_0'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1100_0']), 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 'c_1100_10' : d['c_0011_4'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0110_6'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0110_6'], 'c_1010_8' : d['c_0110_6'], '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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0110_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' : negation(d['c_0101_9']), 'c_0011_6' : negation(d['c_0011_4']), 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0011_7'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0011_7'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_5'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_7'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0101_0']), 'c_1100_8' : d['c_0011_10']})} 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_4, c_0011_7, c_0101_0, c_0101_5, c_0101_9, c_0110_6, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1/14*c_1100_0 + 3/14, c_0011_0 - 1, c_0011_10 - c_1001_0 - 1, c_0011_3 + c_1001_0 + 1, c_0011_4 + c_1100_0 + 1, c_0011_7 + c_1001_0, c_0101_0 - 1, c_0101_5 - c_1100_0, c_0101_9 - c_1001_0*c_1100_0 - c_1001_0 - c_1100_0, c_0110_6 - c_1001_0*c_1100_0 - c_1001_0 - 1, c_1001_0^2 + c_1001_0 - c_1100_0 + 1, c_1100_0^2 - 2 ], 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_4, c_0011_7, c_0101_0, c_0101_5, c_0101_9, c_0110_6, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1392061/424125*c_1100_0^7 + 113956/14625*c_1100_0^6 - 2828779/424125*c_1100_0^5 - 59764/3625*c_1100_0^4 - 3879587/84825*c_1100_0^3 + 354373/28275*c_1100_0^2 + 349933/84825*c_1100_0 + 467731/424125, c_0011_0 - 1, c_0011_10 + 17/125*c_1100_0^7 - 28/125*c_1100_0^6 + 13/125*c_1100_0^5 + 86/125*c_1100_0^4 + 69/25*c_1100_0^3 + 27/25*c_1100_0^2 - 1/25*c_1100_0 - 32/125, c_0011_3 - 19/125*c_1100_0^7 + 51/125*c_1100_0^6 - 46/125*c_1100_0^5 - 97/125*c_1100_0^4 - 42/25*c_1100_0^3 + 29/25*c_1100_0^2 + 21/25*c_1100_0 - 41/125, c_0011_4 - 4/125*c_1100_0^7 + 31/125*c_1100_0^6 - 51/125*c_1100_0^5 + 13/125*c_1100_0^4 + 11/25*c_1100_0^3 + 63/25*c_1100_0^2 + 8/25*c_1100_0 + 49/125, c_0011_7 + 19/125*c_1100_0^7 - 51/125*c_1100_0^6 + 46/125*c_1100_0^5 + 97/125*c_1100_0^4 + 42/25*c_1100_0^3 - 29/25*c_1100_0^2 - 21/25*c_1100_0 + 41/125, c_0101_0 - 1/125*c_1100_0^7 - 11/125*c_1100_0^6 + 31/125*c_1100_0^5 - 28/125*c_1100_0^4 - 16/25*c_1100_0^3 - 48/25*c_1100_0^2 + 32/25*c_1100_0 + 31/125, c_0101_5 - 11/125*c_1100_0^7 + 24/125*c_1100_0^6 - 4/125*c_1100_0^5 - 88/125*c_1100_0^4 - 32/25*c_1100_0^3 + 24/25*c_1100_0^2 + 43/25*c_1100_0 + 6/125, c_0101_9 - 2/125*c_1100_0^7 - 7/125*c_1100_0^6 + 22/125*c_1100_0^5 - 16/125*c_1100_0^4 - 24/25*c_1100_0^3 - 32/25*c_1100_0^2 + 1/25*c_1100_0 + 92/125, c_0110_6 + 2/125*c_1100_0^7 + 7/125*c_1100_0^6 - 22/125*c_1100_0^5 + 16/125*c_1100_0^4 + 24/25*c_1100_0^3 + 32/25*c_1100_0^2 - 1/25*c_1100_0 - 92/125, c_1001_0 - 17/125*c_1100_0^7 + 28/125*c_1100_0^6 - 13/125*c_1100_0^5 - 86/125*c_1100_0^4 - 69/25*c_1100_0^3 - 27/25*c_1100_0^2 + 1/25*c_1100_0 + 32/125, c_1100_0^8 - 2*c_1100_0^7 + c_1100_0^6 + 6*c_1100_0^5 + 16*c_1100_0^4 - 5*c_1100_0^2 - c_1100_0 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB