Magma V2.19-8 Tue Aug 20 2013 16:14:06 on localhost [Seed = 1461111656] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s038 geometric_solution 3.57468489 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 0 2 0132 1230 3012 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 0.799473679368 0.418205100603 0 2 3 2 0132 1302 0132 2031 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 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 0.742826885082 0.258764832447 3 1 0 1 2310 1302 0132 2031 0 0 0 0 0 1 -1 0 0 0 1 -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 -1 1 -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 0.742826885082 0.258764832447 4 4 2 1 0132 2310 3201 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 1 -1 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 0.538535683855 0.632588868170 3 5 5 3 0132 0132 3201 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.436969107989 0.268506184496 4 4 5 5 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4.448797205583 1.071980910139 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(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' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : 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_1001_5' : d['c_0101_1'], 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_1' : negation(d['c_0101_3']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : d['c_0101_3'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0011_0']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : d['c_0101_0']})} 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_3, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 2013054541/179267088*c_0101_5^12 - 1234631439/59755696*c_0101_5^11 - 22834563127/89633544*c_0101_5^10 + 131911862/861861*c_0101_5^9 - 33497688883/29877848*c_0101_5^8 + 10593202787/16297008*c_0101_5^7 - 356971754275/179267088*c_0101_5^6 + 39129198139/44816772*c_0101_5^5 - 24189628823/13789776*c_0101_5^4 + 89921614099/179267088*c_0101_5^3 - 64239368777/89633544*c_0101_5^2 + 7968830941/89633544*c_0101_5 - 15604392149/179267088, c_0011_0 - 1, c_0011_3 - 2208/8281*c_0101_5^12 - 8265/8281*c_0101_5^11 - 58137/8281*c_0101_5^10 - 4793/637*c_0101_5^9 - 161823/8281*c_0101_5^8 - 206533/8281*c_0101_5^7 - 189485/8281*c_0101_5^6 - 289988/8281*c_0101_5^5 - 8451/637*c_0101_5^4 - 199403/8281*c_0101_5^3 - 27717/8281*c_0101_5^2 - 50758/8281*c_0101_5 - 3103/8281, c_0101_0 - 16945/91091*c_0101_5^12 - 15154/91091*c_0101_5^11 - 335371/91091*c_0101_5^10 + 47811/7007*c_0101_5^9 - 1508068/91091*c_0101_5^8 + 187756/8281*c_0101_5^7 - 2391502/91091*c_0101_5^6 + 2586952/91091*c_0101_5^5 - 9386/539*c_0101_5^4 + 1440960/91091*c_0101_5^3 - 101306/91091*c_0101_5^2 + 257743/91091*c_0101_5 + 138984/91091, c_0101_1 - 4481/91091*c_0101_5^12 - 12968/91091*c_0101_5^11 - 109371/91091*c_0101_5^10 - 3868/7007*c_0101_5^9 - 383914/91091*c_0101_5^8 - 34357/8281*c_0101_5^7 - 583460/91091*c_0101_5^6 - 812247/91091*c_0101_5^5 - 50970/7007*c_0101_5^4 - 776599/91091*c_0101_5^3 - 344112/91091*c_0101_5^2 - 287754/91091*c_0101_5 - 54904/91091, c_0101_3 - 2232/8281*c_0101_5^12 - 4154/8281*c_0101_5^11 - 50299/8281*c_0101_5^10 + 2272/637*c_0101_5^9 - 212717/8281*c_0101_5^8 + 108728/8281*c_0101_5^7 - 319092/8281*c_0101_5^6 + 101887/8281*c_0101_5^5 - 15516/637*c_0101_5^4 + 15335/8281*c_0101_5^3 - 35596/8281*c_0101_5^2 - 18979/8281*c_0101_5 + 3804/8281, c_0101_5^13 + 2*c_0101_5^12 + 23*c_0101_5^11 - 10*c_0101_5^10 + 98*c_0101_5^9 - 43*c_0101_5^8 + 170*c_0101_5^7 - 53*c_0101_5^6 + 147*c_0101_5^5 - 24*c_0101_5^4 + 59*c_0101_5^3 + 7*c_0101_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB