Magma V2.19-8 Tue Aug 20 2013 23:31:20 on localhost [Seed = 3785852788] Type ? for help. Type -D to quit. Loading file "L14n58431__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n58431 geometric_solution 8.33837459 oriented_manifold CS_known 0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 1 2 1 0132 1230 0132 2031 2 2 0 2 0 0 1 -1 0 0 0 0 -1 1 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 -2 0 0 0 0 3 -2 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784215820205 0.908563663516 0 0 0 3 0132 1302 3012 0132 2 2 2 0 0 0 1 -1 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 1 -1 0 0 -1 1 -1 2 0 -1 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455588052110 0.630735699399 4 5 6 0 0132 0132 0132 0132 2 2 2 2 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 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 0.709321672706 0.772001758919 4 6 1 7 2103 3012 0132 0132 2 2 2 2 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 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 0.427166218766 1.134494873793 2 8 3 8 0132 0132 2103 1023 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.880394435933 0.699801751161 7 2 7 7 0213 0132 1230 3201 2 1 2 2 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 -1 0 4 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434913705896 0.927516318523 3 6 6 2 1230 1230 3012 0132 2 2 2 2 0 0 1 -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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617617949585 0.615328266164 5 5 3 5 0213 2310 0132 3012 2 2 1 2 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 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.585574043310 0.883823233064 8 4 8 4 2031 0132 1302 1023 2 2 2 2 0 0 0 0 0 0 0 0 0 0 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 1 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 0.548373816375 0.181219061207 ==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' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0101_6'], 'c_1001_8' : d['c_0110_8'], 's_2_8' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_0_8' : 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_8' : negation(d['c_0011_2']), 'c_1100_5' : negation(d['c_0011_7']), 'c_1100_4' : d['c_0011_2'], 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : d['c_0011_6'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_8' : d['1'], 's_1_7' : negation(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_8' : d['1'], 'c_0011_8' : d['c_0011_2'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0101_7' : negation(d['c_0011_2']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_2']), 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_7'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_7']), 'c_0110_6' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 10 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_6, c_0110_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 60437/112*c_1001_0^4 + 14671/4*c_1001_0^3 - 348085/56*c_1001_0^2 + 118597/28*c_1001_0 - 15037/14, c_0011_0 - 1, c_0011_2 + 13/8*c_1001_0^4 - 12*c_1001_0^3 + 101/4*c_1001_0^2 - 24*c_1001_0 + 8, c_0011_3 - 91/8*c_1001_0^4 + 323/4*c_1001_0^3 - 611/4*c_1001_0^2 + 235/2*c_1001_0 - 33, c_0011_6 - c_1001_0 + 1, c_0011_7 - 1, c_0101_0 - 1, c_0101_6 - 13/8*c_1001_0^4 + 12*c_1001_0^3 - 101/4*c_1001_0^2 + 23*c_1001_0 - 8, c_0110_8 - 247/8*c_1001_0^4 + 202*c_1001_0^3 - 1229/4*c_1001_0^2 + 183*c_1001_0 - 39, c_1001_0^5 - 96/13*c_1001_0^4 + 202/13*c_1001_0^3 - 192/13*c_1001_0^2 + 88/13*c_1001_0 - 16/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB