Magma V2.19-8 Tue Aug 20 2013 23:30:47 on localhost [Seed = 2631596779] Type ? for help. Type -D to quit. Loading file "L13n4799__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4799 geometric_solution 8.42001527 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 9 1 2 3 2 0132 0132 0132 1230 0 0 1 0 0 -1 -1 2 1 0 -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 0 1 -1 -1 0 1 0 -1 9 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.074764955295 1.113377757140 0 4 4 3 0132 0132 1302 2031 0 0 0 1 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 1 0 0 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939957464195 0.894135809801 0 0 4 5 3012 0132 0132 0132 0 0 0 1 0 1 -1 0 -2 0 1 1 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 1 0 -1 0 0 0 0 0 8 -9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.441498461536 0.531275344248 6 1 5 0 0132 1302 1302 0132 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 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 -0.275266033910 0.748253398531 1 1 6 2 2031 0132 3012 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 0 -1 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 0.441498461536 0.531275344248 3 7 2 8 2031 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784887822518 0.969187023345 3 4 8 7 0132 1230 2103 2103 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.218255773194 0.983350480788 8 5 8 6 1302 0132 2031 2103 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 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 0.257499271325 0.960357541486 6 7 5 7 2103 2031 0132 1302 0 0 0 0 0 0 0 0 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.777063505536 1.015762506425 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : d['c_0011_3'], 'c_1001_7' : negation(d['c_0110_7']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0110_7']), 's_2_8' : negation(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' : 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' : negation(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_8']), 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : negation(d['c_0011_8']), 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : negation(d['c_0110_7']), 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : negation(d['c_0011_8']), 'c_1010_7' : negation(d['c_0101_4']), 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : negation(d['c_0110_7']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0011_3'], 'c_1010_0' : d['c_0101_2'], 'c_1010_8' : negation(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' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : 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' : negation(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' : negation(d['1']), '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_5']), 'c_0011_6' : negation(d['c_0011_3']), '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_0101_7' : negation(d['c_0011_8']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_5']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_8' : d['c_0101_0'], 'c_0110_8' : d['c_0110_7'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : negation(d['c_0011_5'])})} 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_3, c_0011_5, c_0011_8, c_0101_0, c_0101_2, c_0101_4, c_0101_5, c_0110_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1092971/977500*c_0110_7^7 + 20127/850*c_0110_7^6 - 14532429/244375*c_0110_7^5 + 15220104/244375*c_0110_7^4 - 4897113/97750*c_0110_7^3 + 9167733/244375*c_0110_7^2 - 18306249/977500*c_0110_7 - 1009353/488750, c_0011_0 - 1, c_0011_3 + 783/7820*c_0110_7^7 - 77/34*c_0110_7^6 + 64333/7820*c_0110_7^5 - 19842/1955*c_0110_7^4 + 11895/1564*c_0110_7^3 - 28443/3910*c_0110_7^2 + 7488/1955*c_0110_7 - 2758/1955, c_0011_5 + 2473/19550*c_0110_7^7 - 45/17*c_0110_7^6 + 120383/19550*c_0110_7^5 - 72604/9775*c_0110_7^4 + 27993/3910*c_0110_7^3 - 41258/9775*c_0110_7^2 + 22806/9775*c_0110_7 - 4161/9775, c_0011_8 - 1742/9775*c_0110_7^7 + 129/34*c_0110_7^6 - 97807/9775*c_0110_7^5 + 255889/19550*c_0110_7^4 - 26242/1955*c_0110_7^3 + 215403/19550*c_0110_7^2 - 67423/9775*c_0110_7 + 23163/9775, c_0101_0 - 1, c_0101_2 - 8357/39100*c_0110_7^7 + 77/17*c_0110_7^6 - 446147/39100*c_0110_7^5 + 228761/19550*c_0110_7^4 - 85477/7820*c_0110_7^3 + 88886/9775*c_0110_7^2 - 44977/9775*c_0110_7 + 15187/9775, c_0101_4 - 2221/19550*c_0110_7^7 + 77/34*c_0110_7^6 - 62241/19550*c_0110_7^5 + 30341/19550*c_0110_7^4 - 13001/3910*c_0110_7^3 + 35557/19550*c_0110_7^2 - 7537/9775*c_0110_7 + 1397/9775, c_0101_5 - 783/7820*c_0110_7^7 + 77/34*c_0110_7^6 - 64333/7820*c_0110_7^5 + 19842/1955*c_0110_7^4 - 11895/1564*c_0110_7^3 + 28443/3910*c_0110_7^2 - 7488/1955*c_0110_7 + 2758/1955, c_0110_7^8 - 22*c_0110_7^7 + 71*c_0110_7^6 - 108*c_0110_7^5 + 117*c_0110_7^4 - 102*c_0110_7^3 + 68*c_0110_7^2 - 32*c_0110_7 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB