Magma V2.19-8 Tue Aug 20 2013 16:08:59 on localhost [Seed = 425232292] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation m244 geometric_solution 4.20995987 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 5 1 0 2 0 0132 2310 0132 3201 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 1 0 -1 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 -0.259095451689 0.665060725899 0 2 3 2 0132 3201 0132 1230 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 1 0 -1 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 0.508592519316 1.305483781663 1 3 1 0 3012 1023 2310 0132 0 0 0 0 0 1 0 -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 0 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 0.508592519316 1.305483781663 2 4 4 1 1023 0132 1023 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.628940280575 0.323688872224 4 3 3 4 3201 0132 1023 2310 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.065663603385 0.571839299987 ==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' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_4' : negation(d['c_0011_2']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : negation(d['c_0101_2']), 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0101_4']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 6 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0101_1, c_0101_2, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 16480255751464/81172993861*c_0101_4^10 - 43292755703332/81172993861*c_0101_4^9 + 233521118471548/81172993861*c_0101_4^8 + 332656541713683/81172993861*c_0101_4^7 - 426064416755735/81172993861*c_0101_4^6 - 904613909315057/81172993861*c_0101_4^5 - 861640320239223/81172993861*c_0101_4^4 - 640810891966951/81172993861*c_0101_4^3 - 83087338455596/81172993861*c_0101_4^2 + 85838691764622/81172993861*c_0101_4 - 14732807879593/81172993861, c_0011_0 - 1, c_0011_2 + 125864550040/81172993861*c_0101_4^10 + 261096531820/81172993861*c_0101_4^9 - 1904293078012/81172993861*c_0101_4^8 - 1454103186149/81172993861*c_0101_4^7 + 3675525096919/81172993861*c_0101_4^6 + 4814643832395/81172993861*c_0101_4^5 + 4686678406533/81172993861*c_0101_4^4 + 2870177691362/81172993861*c_0101_4^3 - 373232022984/81172993861*c_0101_4^2 - 303422406445/81172993861*c_0101_4 + 57752082496/81172993861, c_0101_1 - 271490329832/81172993861*c_0101_4^10 - 695469661788/81172993861*c_0101_4^9 + 3867554770864/81172993861*c_0101_4^8 + 5187457107039/81172993861*c_0101_4^7 - 6963674825878/81172993861*c_0101_4^6 - 14334461147104/81172993861*c_0101_4^5 - 14028283925367/81172993861*c_0101_4^4 - 10287832694991/81172993861*c_0101_4^3 - 1336269299298/81172993861*c_0101_4^2 + 1219390216598/81172993861*c_0101_4 - 178621785559/81172993861, c_0101_2 + 58989337600/81172993861*c_0101_4^10 + 166732399224/81172993861*c_0101_4^9 - 815489491268/81172993861*c_0101_4^8 - 1363669147452/81172993861*c_0101_4^7 + 1466435235887/81172993861*c_0101_4^6 + 3413697869035/81172993861*c_0101_4^5 + 3458569156643/81172993861*c_0101_4^4 + 2896022027998/81172993861*c_0101_4^3 + 622363158932/81172993861*c_0101_4^2 - 152482208605/81172993861*c_0101_4 + 36986110234/81172993861, c_0101_4^11 + 5/2*c_0101_4^10 - 29/2*c_0101_4^9 - 147/8*c_0101_4^8 + 227/8*c_0101_4^7 + 103/2*c_0101_4^6 + 363/8*c_0101_4^5 + 65/2*c_0101_4^4 + 3/8*c_0101_4^3 - 45/8*c_0101_4^2 + 13/8*c_0101_4 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB