Magma V2.19-8 Tue Aug 20 2013 23:52:15 on localhost [Seed = 1562064490] Type ? for help. Type -D to quit. Loading file "L13n2121__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2121 geometric_solution 11.85727367 oriented_manifold CS_known -0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 0 0 1 2 1302 2031 0132 0132 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 -1 -1 2 1 0 0 -1 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.375619406657 0.736662623072 3 4 5 0 0132 0132 0132 0132 0 0 0 0 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 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 0.256463057718 0.825910782448 6 3 0 7 0132 3201 0132 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 2 -2 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 0.256463057718 0.825910782448 1 8 2 9 0132 0132 2310 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 -1 0 0 1 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722925944344 1.437766867870 10 1 6 6 0132 0132 2031 3012 0 1 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 0 0 0 1 0 -1 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 0.543253272823 0.787780236805 8 7 7 1 3201 3012 0132 0132 0 0 0 1 0 -1 0 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 -1 0 1 -1 0 1 0 0 0 0 0 1 12 -13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312814334801 1.232526210501 2 11 4 4 0132 0132 1230 1302 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 0 0 0 0 0 0 -1 0 1 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 0.543253272823 0.787780236805 5 9 2 5 1230 1023 0132 0132 0 0 1 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 0 0 0 0 0 1 -1 -12 -1 0 13 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312814334801 1.232526210501 11 3 11 5 3012 0132 1023 2310 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428348962908 0.706219053697 7 10 3 10 1023 2310 0132 3012 0 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428348962908 0.706219053697 4 11 9 9 0132 3012 1230 3201 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 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 0.692465273270 0.855473249019 10 6 8 8 1230 0132 1023 1230 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 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 0.692465273270 0.855473249019 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0011_7']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : negation(d['c_0101_6']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0011_0'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0101_8'], 'c_1010_10' : negation(d['c_0101_11']), '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_11'], '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_11'], 'c_0011_10' : d['c_0011_1'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_5']), 'c_1100_10' : negation(d['c_0011_7']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_0101_8'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_0101_6']), 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : negation(d['c_0101_1']), 'c_1100_8' : d['c_0011_5'], '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_7'], 'c_0011_8' : d['c_0011_1'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_11'], 'c_0110_11' : d['c_0011_1'], 'c_0110_10' : d['c_0101_10'], 'c_0110_0' : d['c_0101_2'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_5'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0101_9' : d['c_0101_1'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_7']), 'c_0110_8' : negation(d['c_0011_5']), 'c_0110_1' : negation(d['c_0011_0']), 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_5'], 'c_0110_6' : d['c_0101_2']})} 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_1, c_0011_11, c_0011_5, c_0011_7, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_6, c_0101_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 165555337/353632256*c_0101_8*c_1100_0^3 + 660258163/353632256*c_0101_8*c_1100_0^2 - 71990649/44204032*c_0101_8*c_1100_0 - 1278146339/353632256*c_0101_8 - 5024585/4980736*c_1100_0^3 + 19684275/4980736*c_1100_0^2 - 2355257/622592*c_1100_0 - 46553443/4980736, c_0011_0 - 1, c_0011_1 - 41/209*c_0101_8*c_1100_0^3 + 162/209*c_0101_8*c_1100_0^2 - 149/209*c_0101_8*c_1100_0 - 243/209*c_0101_8 - 102/209*c_1100_0^3 + 454/209*c_1100_0^2 - 544/209*c_1100_0 - 890/209, c_0011_11 + 41/209*c_0101_8*c_1100_0^3 - 162/209*c_0101_8*c_1100_0^2 + 149/209*c_0101_8*c_1100_0 + 243/209*c_0101_8, c_0011_5 + c_0101_8 + 6/19*c_1100_0^3 - 20/19*c_1100_0^2 + 13/19*c_1100_0 + 49/19, c_0011_7 - 6/19*c_0101_8*c_1100_0^3 + 20/19*c_0101_8*c_1100_0^2 - 13/19*c_0101_8*c_1100_0 - 49/19*c_0101_8 - 1, c_0101_1 - 78/209*c_0101_8*c_1100_0^3 + 298/209*c_0101_8*c_1100_0^2 - 207/209*c_0101_8*c_1100_0 - 656/209*c_0101_8 - 82/209*c_1100_0^3 + 324/209*c_1100_0^2 - 298/209*c_1100_0 - 904/209, c_0101_10 - 1, c_0101_11 - 92/209*c_1100_0^3 + 389/209*c_1100_0^2 - 421/209*c_1100_0 - 897/209, c_0101_2 - 3/19*c_1100_0^3 + 10/19*c_1100_0^2 + 3/19*c_1100_0 - 15/19, c_0101_6 - 74/209*c_1100_0^3 + 272/209*c_1100_0^2 - 116/209*c_1100_0 - 408/209, c_0101_8^2 + 2/19*c_0101_8*c_1100_0^3 + 6/19*c_0101_8*c_1100_0^2 - 40/19*c_0101_8*c_1100_0 + 10/19*c_0101_8 + 1, c_1100_0^4 - 3*c_1100_0^3 + 11*c_1100_0 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.320 seconds, Total memory usage: 32.09MB