Magma V2.19-8 Tue Aug 20 2013 23:50:42 on localhost [Seed = 3230051322] Type ? for help. Type -D to quit. Loading file "L12n734__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n734 geometric_solution 11.78878427 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 -1 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 -1 0 1 1 0 -1 0 -5 5 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583642631033 0.887946080954 0 5 7 6 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 -1 0 1 0 6 -6 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576147707745 0.419778571251 8 0 10 9 0132 0132 0132 0132 0 1 1 1 0 -1 0 1 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 1 0 -1 -1 0 0 1 5 0 0 -5 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432893150815 0.923211177194 5 8 9 0 2103 0213 0132 0132 0 1 1 1 0 -1 0 1 0 0 0 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 0 0 0 0 0 -1 1 0 6 0 -6 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.614900901018 0.759822654016 11 8 0 10 0132 0132 0132 0132 0 1 1 1 0 1 0 -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 -1 1 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583642631033 0.887946080954 11 1 3 6 1023 0132 2103 3120 1 1 1 1 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 -6 0 0 6 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875171217285 0.955323791472 5 9 1 11 3120 1023 0132 0132 1 1 1 1 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 0 0 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.875171217285 0.955323791472 10 9 8 1 1230 3120 1230 0132 1 1 1 0 0 1 -1 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 5 -5 0 0 0 1 -1 0 -5 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.583642631033 0.887946080954 2 4 3 7 0132 0132 0213 3012 0 1 1 1 0 -1 1 0 0 0 -1 1 -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 1 0 -6 5 -5 6 0 -1 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.483084430225 0.786428423767 6 7 2 3 1023 3120 0132 0132 0 1 1 1 0 1 -1 0 0 0 0 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 -1 1 0 0 0 -1 1 0 5 0 -5 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356416906885 0.795264754176 11 7 4 2 3012 3012 0132 0132 0 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 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 0.432893150815 0.923211177194 4 5 6 10 0132 1023 0132 1230 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 0 0 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 0.783633929443 0.651338606966 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_3'], 'c_1001_10' : negation(d['c_0011_7']), 'c_1001_5' : d['c_0011_3'], 'c_1001_4' : negation(d['c_0101_7']), 'c_1001_7' : negation(d['c_1001_0']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : negation(d['c_0101_7']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_7']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : d['c_0011_0'], 'c_1100_8' : d['c_1001_0'], 'c_1100_5' : negation(d['c_0101_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : d['c_0101_2'], 'c_1100_1' : d['c_0101_2'], '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_11' : d['c_0101_2'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0011_6']), 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : negation(d['c_0101_7']), 'c_1010_9' : negation(d['c_0011_7']), 'c_1010_8' : negation(d['c_0101_7']), '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' : d['c_0011_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], '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_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_2'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : d['c_0101_10']})} 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_3, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 19/56*c_1100_0^5 + 19/56*c_1100_0^4 + 39/56*c_1100_0^3 - 11/2*c_1100_0^2 + 199/28*c_1100_0 - 59/8, c_0011_0 - 1, c_0011_10 + 1/2*c_1100_0 - 1/2, c_0011_3 + 1/4*c_1100_0^5 - 3/4*c_1100_0^4 + 5/4*c_1100_0^3 - c_1100_0^2 + c_1100_0 - 3/4, c_0011_6 - 1/4*c_1100_0^5 + 5/4*c_1100_0^4 - 11/4*c_1100_0^3 + 7/2*c_1100_0^2 - 5/2*c_1100_0 + 7/4, c_0011_7 - 1/4*c_1100_0^5 + 3/4*c_1100_0^4 - 7/4*c_1100_0^3 + 3/2*c_1100_0^2 - 2*c_1100_0 + 3/4, c_0101_0 + 1/2*c_1100_0^4 - 3/2*c_1100_0^3 + 5/2*c_1100_0^2 - 3/2*c_1100_0 + 1, c_0101_10 + 1/4*c_1100_0^5 - 3/4*c_1100_0^4 + 5/4*c_1100_0^3 - 1/2*c_1100_0^2 + 3/4, c_0101_2 - 1/2*c_1100_0^2 + c_1100_0 - 1/2, c_0101_3 - 1/2*c_1100_0^2 + 1/2*c_1100_0 - 1, c_0101_7 - 1/2*c_1100_0^4 + c_1100_0^3 - 3/2*c_1100_0^2 + 1/2*c_1100_0 - 1/2, c_1001_0 - 1, c_1100_0^6 - 4*c_1100_0^5 + 10*c_1100_0^4 - 13*c_1100_0^3 + 14*c_1100_0^2 - 7*c_1100_0 + 7 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_10, c_0101_2, c_0101_3, c_0101_7, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 2060/13*c_1100_0^6 + 2374/13*c_1100_0^5 - 67/13*c_1100_0^4 - 3154/13*c_1100_0^3 - 2243/13*c_1100_0^2 + 571/13*c_1100_0 + 958/13, c_0011_0 - 1, c_0011_10 - 4*c_1100_0^6 - 2*c_1100_0^5 + c_1100_0^4 + 6*c_1100_0^3 + c_1100_0^2 - c_1100_0 - 1, c_0011_3 + 8*c_1100_0^6 + 16*c_1100_0^5 + 12*c_1100_0^4 - 3*c_1100_0^3 - 10*c_1100_0^2 - 5*c_1100_0, c_0011_6 - 8*c_1100_0^6 - 8*c_1100_0^5 + 9*c_1100_0^3 + 6*c_1100_0^2 - 2*c_1100_0 - 2, c_0011_7 + c_1100_0, c_0101_0 + 8*c_1100_0^6 + 8*c_1100_0^5 - 9*c_1100_0^3 - 6*c_1100_0^2 + 2*c_1100_0 + 2, c_0101_10 - 8*c_1100_0^6 - 4*c_1100_0^5 + 6*c_1100_0^4 + 14*c_1100_0^3 + 5*c_1100_0^2 - 6*c_1100_0 - 4, c_0101_2 - 1, c_0101_3 + 8*c_1100_0^5 + 16*c_1100_0^4 + 12*c_1100_0^3 - 3*c_1100_0^2 - 10*c_1100_0 - 4, c_0101_7 - 4*c_1100_0^5 - 2*c_1100_0^4 + c_1100_0^3 + 4*c_1100_0^2 + c_1100_0 - 1, c_1001_0 - 1, c_1100_0^7 + 3/2*c_1100_0^6 + 1/4*c_1100_0^5 - 7/4*c_1100_0^4 - 7/4*c_1100_0^3 + 3/4*c_1100_0 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.310 seconds, Total memory usage: 32.09MB