Magma V2.19-8 Tue Aug 20 2013 23:40:01 on localhost [Seed = 2362107938] Type ? for help. Type -D to quit. Loading file "K14n2485__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n2485 geometric_solution 9.87594951 oriented_manifold CS_known 0.0000000000000001 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 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 0 0 0 0 -6 -1 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.160435141160 0.716286747038 0 3 2 5 0132 3120 3120 0132 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 -1 0 0 1 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.102330143871 0.895928007158 6 0 1 6 0132 0132 3120 2031 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674670324618 0.759068303761 7 1 4 0 0132 3120 0213 0132 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 7 0 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.535111134409 0.933322809213 8 3 0 9 0132 0213 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 -1 1 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 0.322567353476 0.451521196805 10 9 1 10 0132 2031 0132 1023 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 -1 1 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.135011119472 0.428452115494 2 2 7 8 0132 1302 1230 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 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.345847011621 0.735984348460 3 9 9 6 0132 0321 0213 3012 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 -7 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301972742469 0.546701776801 4 6 10 10 0132 2310 0213 1302 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 0 0 0 0 0 0 0 0 0 0 -0.179840976150 1.617716480886 5 7 4 7 1302 0213 0132 0321 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 6 0 0 -6 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.887934310232 0.695438838310 5 8 8 5 0132 0213 2031 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.041068360693 1.869726978393 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_10' : negation(d['c_0101_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_1001_1']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0101_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_1001_7'], 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_10' : d['c_0101_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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_1001_7'], 'c_1100_8' : d['c_0101_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_1001_7'], 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1001_7'], 'c_1100_3' : d['c_1001_7'], 'c_1100_2' : negation(d['c_0101_1']), 'c_1100_10' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0011_9'], 'c_1010_4' : d['c_1001_7'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_1001_1']), 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : negation(d['c_0101_2']), '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_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0011_9'], 'c_0101_7' : d['c_0011_9'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_9'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_3'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_9'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_9'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0011_4'], 'c_0011_10' : 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_9, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1149/169*c_1001_1*c_1001_7^5 + 249/169*c_1001_1*c_1001_7^4 + 2749/169*c_1001_1*c_1001_7^3 - 2406/169*c_1001_1*c_1001_7^2 + 6393/169*c_1001_1*c_1001_7 - 2115/169*c_1001_1 - 1927/169*c_1001_7^5 - 1166/169*c_1001_7^4 - 4941/169*c_1001_7^3 + 2208/169*c_1001_7^2 - 9613/169*c_1001_7 - 577/169, c_0011_0 - 1, c_0011_10 - c_1001_1*c_1001_7^2, c_0011_3 + 6/13*c_1001_7^5 + 5/13*c_1001_7^4 + 15/13*c_1001_7^3 - 9/13*c_1001_7^2 + 25/13*c_1001_7 + 10/13, c_0011_4 + 6/13*c_1001_1*c_1001_7^5 + 5/13*c_1001_1*c_1001_7^4 + 15/13*c_1001_1*c_1001_7^3 - 9/13*c_1001_1*c_1001_7^2 + 25/13*c_1001_1*c_1001_7 + 10/13*c_1001_1, c_0011_9 - 1/13*c_1001_1*c_1001_7^5 - 3/13*c_1001_1*c_1001_7^4 - 9/13*c_1001_1*c_1001_7^3 - 5/13*c_1001_1*c_1001_7^2 - 15/13*c_1001_1*c_1001_7 - 6/13*c_1001_1 - 6/13*c_1001_7^5 - 5/13*c_1001_7^4 - 15/13*c_1001_7^3 + 9/13*c_1001_7^2 - 25/13*c_1001_7 - 10/13, c_0101_1 + 6/13*c_1001_1*c_1001_7^5 + 5/13*c_1001_1*c_1001_7^4 + 15/13*c_1001_1*c_1001_7^3 - 9/13*c_1001_1*c_1001_7^2 + 25/13*c_1001_1*c_1001_7 + 10/13*c_1001_1 + 1/13*c_1001_7^5 + 3/13*c_1001_7^4 + 9/13*c_1001_7^3 + 5/13*c_1001_7^2 + 15/13*c_1001_7 + 6/13, c_0101_10 - 6/13*c_1001_1*c_1001_7^5 - 5/13*c_1001_1*c_1001_7^4 - 15/13*c_1001_1*c_1001_7^3 - 4/13*c_1001_1*c_1001_7^2 - 25/13*c_1001_1*c_1001_7 - 10/13*c_1001_1 - 6/13*c_1001_7^5 - 5/13*c_1001_7^4 - 15/13*c_1001_7^3 - 4/13*c_1001_7^2 - 25/13*c_1001_7 - 10/13, c_0101_2 + 12/13*c_1001_1*c_1001_7^5 + 10/13*c_1001_1*c_1001_7^4 + 30/13*c_1001_1*c_1001_7^3 - 18/13*c_1001_1*c_1001_7^2 + 50/13*c_1001_1*c_1001_7 + 7/13*c_1001_1 + 1/13*c_1001_7^5 + 3/13*c_1001_7^4 + 9/13*c_1001_7^3 + 5/13*c_1001_7^2 + 15/13*c_1001_7 + 6/13, c_0101_6 - 6/13*c_1001_7^5 - 5/13*c_1001_7^4 - 15/13*c_1001_7^3 + 9/13*c_1001_7^2 - 25/13*c_1001_7 + 3/13, c_1001_1^2 + 6/13*c_1001_7^5 + 5/13*c_1001_7^4 + 15/13*c_1001_7^3 - 9/13*c_1001_7^2 + 25/13*c_1001_7 - 3/13, c_1001_7^6 + c_1001_7^5 + 3*c_1001_7^4 + 5*c_1001_7^2 + 2*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB