Magma V2.19-8 Tue Aug 20 2013 16:18:08 on localhost [Seed = 3633923554] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2361 geometric_solution 5.73210479 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 -1 0 1 1 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.756191857219 0.330119411993 3 2 4 0 0132 3012 0132 0132 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 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 0.751691086542 0.259702718509 1 3 0 5 1230 3201 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 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 1.212621272409 0.654850786691 1 6 2 5 0132 0132 2310 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.640245610648 1.045623248560 6 5 6 1 0321 3120 0132 0132 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 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 1.161456062737 0.921948614944 3 4 2 6 3201 3120 0132 3012 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 -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 0.640245610648 1.045623248560 4 3 5 4 0321 0132 1230 0132 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.248376344229 0.703111420409 ==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' : 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_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_0110_5'], 'c_1100_5' : d['c_0110_5'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0110_5'], 'c_1100_0' : d['c_0110_5'], 'c_1100_3' : d['c_0011_2'], 'c_1100_2' : d['c_0110_5'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_1']), 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_2'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_1'], '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_2'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : d['c_1001_3'], 'c_1001_6' : negation(d['c_0110_5']), 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : negation(d['c_0011_1']), 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : negation(d['c_0011_4']), 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : negation(d['c_1001_3']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_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_1, c_0011_2, c_0011_4, c_0101_2, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 234/25*c_1001_3^9 - 484/5*c_1001_3^8 + 806/5*c_1001_3^7 + 13011/25*c_1001_3^6 - 27833/25*c_1001_3^5 - 13436/25*c_1001_3^4 + 6584/5*c_1001_3^3 + 1607/5*c_1001_3^2 - 9904/25*c_1001_3 - 2193/25, c_0011_0 - 1, c_0011_1 + 12/25*c_1001_3^9 - 99/25*c_1001_3^8 - 24/25*c_1001_3^7 + 867/25*c_1001_3^6 - 23/5*c_1001_3^5 - 1833/25*c_1001_3^4 + 626/25*c_1001_3^3 + 821/25*c_1001_3^2 - 298/25*c_1001_3 - 6/5, c_0011_2 - 16/25*c_1001_3^9 + 146/25*c_1001_3^8 - 106/25*c_1001_3^7 - 954/25*c_1001_3^6 + 769/25*c_1001_3^5 + 1349/25*c_1001_3^4 - 769/25*c_1001_3^3 - 641/25*c_1001_3^2 + 206/25*c_1001_3 + 59/25, c_0011_4 - 4/5*c_1001_3^9 + 36/5*c_1001_3^8 - 22/5*c_1001_3^7 - 242/5*c_1001_3^6 + 169/5*c_1001_3^5 + 351/5*c_1001_3^4 - 184/5*c_1001_3^3 - 142/5*c_1001_3^2 + 53/5*c_1001_3 + 4/5, c_0101_2 + 3/5*c_1001_3^9 - 142/25*c_1001_3^8 + 154/25*c_1001_3^7 + 784/25*c_1001_3^6 - 927/25*c_1001_3^5 - 25*c_1001_3^4 + 553/25*c_1001_3^3 + 154/25*c_1001_3^2 - 11/25*c_1001_3 - 12/25, c_0110_5 - 16/25*c_1001_3^9 + 134/25*c_1001_3^8 + 8/25*c_1001_3^7 - 217/5*c_1001_3^6 + 182/25*c_1001_3^5 + 2084/25*c_1001_3^4 - 486/25*c_1001_3^3 - 977/25*c_1001_3^2 + 41/5*c_1001_3 + 62/25, c_1001_3^10 - 10*c_1001_3^9 + 15*c_1001_3^8 + 50*c_1001_3^7 - 95*c_1001_3^6 - 23*c_1001_3^5 + 90*c_1001_3^4 - 10*c_1001_3^3 - 25*c_1001_3^2 + 5*c_1001_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB