Magma V2.19-8 Tue Aug 20 2013 23:39:26 on localhost [Seed = 4038497450] Type ? for help. Type -D to quit. Loading file "K13n446__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n446 geometric_solution 9.96524504 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 1230 0132 0132 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 -1 0 1 1 0 0 -1 1 0 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808192190439 0.970228336953 0 4 0 5 0132 0132 3012 0132 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 4 -4 0 -1 0 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 0.493143149445 0.608477643072 6 7 8 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 -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 -4 0 0 4 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379974843211 0.511856900703 9 10 0 6 0132 0132 0132 2031 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 1 -1 -4 0 0 4 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.204685788682 1.197595920235 5 1 10 9 3120 0132 2031 2103 0 0 0 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 -4 4 0 0 0 0 0 1 -1 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.626400721794 0.255766920270 6 8 1 4 2103 3012 0132 3120 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.258099857738 0.814460558107 2 3 5 9 0132 1302 2103 0132 0 0 0 0 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 1 -1 0 0 0 0 0 -3 -1 0 4 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554929205988 1.082461334941 7 2 10 7 3201 0132 0321 2310 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 0 0 0 0 0.570768418046 1.156404633113 5 10 9 2 1230 3012 3012 0132 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 0 0 0 0 0 0 0 0 -3 0 3 3 -4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.399162398149 0.571075667366 3 8 6 4 0132 1230 0132 2103 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 1 -1 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.384993985442 0.871470407197 8 3 7 4 1230 0132 0321 1302 0 0 0 0 0 0 0 0 -1 0 0 1 -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 3 0 0 -3 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.306201487625 0.658432902452 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_2']), 'c_1001_5' : negation(d['c_0011_8']), 'c_1001_4' : negation(d['c_0011_8']), 'c_1001_7' : d['c_0101_4'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_0101_4'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_10']), 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_10' : d['c_0101_1'], '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' : negation(d['c_0110_4']), 'c_1100_8' : negation(d['c_1001_9']), 'c_1100_5' : negation(d['c_0101_4']), 'c_1100_4' : negation(d['c_0101_1']), 'c_1100_7' : negation(d['c_0011_2']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_1001_9']), 'c_1100_3' : negation(d['c_1001_9']), 'c_1100_2' : negation(d['c_1001_9']), 'c_1100_10' : d['c_0101_4'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_1001_9'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_2']), 'c_1010_2' : d['c_0101_4'], 'c_1010_1' : negation(d['c_0011_8']), 'c_1010_0' : d['c_0101_1'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : negation(d['c_0101_10']), '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_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : d['c_0011_8'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0011_0'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0011_5']})} 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_2, c_0011_5, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_4, c_0110_4, c_1001_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 551/68*c_1001_9^11 - 25893/340*c_1001_9^10 - 90463/340*c_1001_9^9 - 191697/340*c_1001_9^8 - 340159/340*c_1001_9^7 - 25726/17*c_1001_9^6 - 619729/340*c_1001_9^5 - 637147/340*c_1001_9^4 - 558243/340*c_1001_9^3 - 389439/340*c_1001_9^2 - 52459/85*c_1001_9 - 73157/340, c_0011_0 - 1, c_0011_10 - c_1001_9^11 - 5*c_1001_9^10 - 12*c_1001_9^9 - 22*c_1001_9^8 - 35*c_1001_9^7 - 46*c_1001_9^6 - 50*c_1001_9^5 - 47*c_1001_9^4 - 38*c_1001_9^3 - 24*c_1001_9^2 - 12*c_1001_9 - 3, c_0011_2 + c_1001_9^11 + 5*c_1001_9^10 + 12*c_1001_9^9 + 23*c_1001_9^8 + 38*c_1001_9^7 + 49*c_1001_9^6 + 53*c_1001_9^5 + 49*c_1001_9^4 + 36*c_1001_9^3 + 21*c_1001_9^2 + 7*c_1001_9 + 1, c_0011_5 + c_1001_9, c_0011_8 - c_1001_9^11 - 4*c_1001_9^10 - 7*c_1001_9^9 - 11*c_1001_9^8 - 16*c_1001_9^7 - 16*c_1001_9^6 - 14*c_1001_9^5 - 11*c_1001_9^4 - 6*c_1001_9^3 - 2*c_1001_9^2 + 1, c_0101_0 + c_1001_9^7 + 2*c_1001_9^6 + c_1001_9^5 + 3*c_1001_9^4 + 3*c_1001_9^3 + c_1001_9, c_0101_1 - c_1001_9^5 - 2*c_1001_9^4 - 2*c_1001_9^3 - 3*c_1001_9^2 - 2*c_1001_9 - 1, c_0101_10 + c_1001_9^11 + 5*c_1001_9^10 + 11*c_1001_9^9 + 19*c_1001_9^8 + 30*c_1001_9^7 + 36*c_1001_9^6 + 36*c_1001_9^5 + 32*c_1001_9^4 + 22*c_1001_9^3 + 12*c_1001_9^2 + 4*c_1001_9, c_0101_4 - c_1001_9^6 - 3*c_1001_9^5 - 3*c_1001_9^4 - 4*c_1001_9^3 - 5*c_1001_9^2 - 2*c_1001_9 - 1, c_0110_4 - c_1001_9^6 - 3*c_1001_9^5 - 3*c_1001_9^4 - 4*c_1001_9^3 - 5*c_1001_9^2 - 2*c_1001_9 - 1, c_1001_9^12 + 5*c_1001_9^11 + 12*c_1001_9^10 + 23*c_1001_9^9 + 38*c_1001_9^8 + 50*c_1001_9^7 + 56*c_1001_9^6 + 54*c_1001_9^5 + 43*c_1001_9^4 + 28*c_1001_9^3 + 14*c_1001_9^2 + 4*c_1001_9 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.330 seconds, Total memory usage: 32.09MB