Magma V2.19-8 Tue Aug 20 2013 16:17:17 on localhost [Seed = 273779910] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1524 geometric_solution 5.32271871 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 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 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 0.562919874629 1.388738096869 0 3 2 4 0132 0132 0132 0132 0 0 0 0 0 -1 1 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 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 0.038514482696 0.882917449700 3 0 4 1 0132 0132 3201 0132 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 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 0.038514482696 0.882917449700 2 1 5 5 0132 0132 0132 2310 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.388710462170 0.760899284918 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 1 0 -1 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 -1 0 1 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 -0.049312639634 1.130457609070 3 6 6 3 3201 0132 3201 0132 0 0 0 0 0 -1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.303275613715 0.627872829359 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 1 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.359861582907 0.474822935293 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(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_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_0_6' : 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_6' : d['c_0101_2'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 105759863615/1020607438336*c_0101_6^13 + 1726030513185/255151859584*c_0101_6^11 - 37732252984453/1020607438336*c_0101_6^9 - 27334042930357/510303719168*c_0101_6^7 + 38435500425767/1020607438336*c_0101_6^5 + 5072361844207/1020607438336*c_0101_6^3 + 1611879242441/1020607438336*c_0101_6, c_0011_0 - 1, c_0011_4 + 108274423/1993373903*c_0101_6^13 - 7429104326/1993373903*c_0101_6^11 + 62818492047/1993373903*c_0101_6^9 - 115178497314/1993373903*c_0101_6^7 + 69652932370/1993373903*c_0101_6^5 - 26961279961/1993373903*c_0101_6^3 + 12772734067/1993373903*c_0101_6, c_0011_5 + 26269419/1993373903*c_0101_6^12 - 1741861451/1993373903*c_0101_6^10 + 11174401972/1993373903*c_0101_6^8 + 1151524827/1993373903*c_0101_6^6 - 3797443016/1993373903*c_0101_6^4 - 2788580310/1993373903*c_0101_6^2 - 1954455554/1993373903, c_0101_0 - 88004932/1993373903*c_0101_6^12 + 5941130160/1993373903*c_0101_6^10 - 44519100494/1993373903*c_0101_6^8 + 45991659086/1993373903*c_0101_6^6 - 16936165798/1993373903*c_0101_6^4 + 12320475543/1993373903*c_0101_6^2 - 4136221814/1993373903, c_0101_1 - 18684251/3986747806*c_0101_6^13 + 591262068/1993373903*c_0101_6^11 - 4129681129/3986747806*c_0101_6^9 - 15066113612/1993373903*c_0101_6^7 + 37789272897/3986747806*c_0101_6^5 - 13180631347/3986747806*c_0101_6^3 + 8813677309/3986747806*c_0101_6, c_0101_2 - 73759533/1993373903*c_0101_6^12 + 4925517575/1993373903*c_0101_6^10 - 33692728351/1993373903*c_0101_6^8 + 12604206980/1993373903*c_0101_6^6 + 4932918272/1993373903*c_0101_6^4 + 2668989278/1993373903*c_0101_6^2 + 2128520916/1993373903, c_0101_6^14 - 68*c_0101_6^12 + 539*c_0101_6^10 - 770*c_0101_6^8 + 439*c_0101_6^6 - 201*c_0101_6^4 + 81*c_0101_6^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB