Magma V2.19-8 Tue Aug 20 2013 16:14:15 on localhost [Seed = 694727942] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s226 geometric_solution 4.37882988 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 1023 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 -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 0.745815114382 0.113748040454 0 2 0 2 0132 0132 1023 1023 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 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 0.633294968518 0.323884375066 3 1 4 1 0132 0132 0132 1023 0 0 0 0 0 0 -1 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 -1 0 0 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 1.662944401233 1.564224251825 2 4 4 5 0132 3201 2310 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 1 0 -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 -0.155658697160 0.801238037907 5 3 3 2 1023 3201 2310 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.155658697160 0.801238037907 5 4 3 5 3201 1023 0132 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.233647385058 1.202677240541 ==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' : negation(d['1']), 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : negation(d['c_0011_0']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], '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_4'], 'c_0011_4' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : d['c_0011_0'], 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_3'], '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_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 38498509/2154682*c_0101_3^16 + 220823221/2154682*c_0101_3^14 - 375397051/1077341*c_0101_3^12 + 4192507919/4309364*c_0101_3^10 - 4693325955/4309364*c_0101_3^8 + 1398556183/2154682*c_0101_3^6 - 2536390313/4309364*c_0101_3^4 + 347726294/1077341*c_0101_3^2 - 178411563/4309364, c_0011_0 - 1, c_0011_4 + 435432/1077341*c_0101_3^16 - 2474920/1077341*c_0101_3^14 + 8320754/1077341*c_0101_3^12 - 23037110/1077341*c_0101_3^10 + 24599674/1077341*c_0101_3^8 - 12575061/1077341*c_0101_3^6 + 11771681/1077341*c_0101_3^4 - 7656689/1077341*c_0101_3^2 + 492085/1077341, c_0101_0 + 1477276/1077341*c_0101_3^17 - 9120944/1077341*c_0101_3^15 + 32315546/1077341*c_0101_3^13 - 91957904/1077341*c_0101_3^11 + 121682100/1077341*c_0101_3^9 - 83155447/1077341*c_0101_3^7 + 63131307/1077341*c_0101_3^5 - 42591560/1077341*c_0101_3^3 + 8890876/1077341*c_0101_3, c_0101_1 - 9413022/1077341*c_0101_3^17 + 54704916/1077341*c_0101_3^15 - 187466904/1077341*c_0101_3^13 + 525251039/1077341*c_0101_3^11 - 608618584/1077341*c_0101_3^9 + 374469774/1077341*c_0101_3^7 - 323462614/1077341*c_0101_3^5 + 191024236/1077341*c_0101_3^3 - 27789720/1077341*c_0101_3, c_0101_2 - 984170/1077341*c_0101_3^17 + 5469588/1077341*c_0101_3^15 - 18192650/1077341*c_0101_3^13 + 50237361/1077341*c_0101_3^11 - 50775640/1077341*c_0101_3^9 + 26085081/1077341*c_0101_3^7 - 28267994/1077341*c_0101_3^5 + 14308824/1077341*c_0101_3^3 + 182243/1077341*c_0101_3, c_0101_3^18 - 6*c_0101_3^16 + 21*c_0101_3^14 - 119/2*c_0101_3^12 + 75*c_0101_3^10 - 103/2*c_0101_3^8 + 83/2*c_0101_3^6 - 53/2*c_0101_3^4 + 13/2*c_0101_3^2 - 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB