Magma V2.19-8 Tue Aug 20 2013 16:16:56 on localhost [Seed = 1663238066] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1198 geometric_solution 5.09102684 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 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 -1 0 1 0 0 -1 1 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.518867376491 0.343070535781 3 4 2 0 0132 0132 2031 0132 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 -1 1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.490615442950 0.582859091978 4 3 0 1 2310 0132 0132 1302 0 0 0 0 0 0 0 0 -1 0 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 -1 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 0.490615442950 0.582859091978 1 2 5 5 0132 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.822494656534 0.742502784228 4 1 2 4 3012 0132 3201 1230 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.154735393209 1.004188042334 3 6 6 3 3201 0132 3201 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.146414418401 0.595757373543 5 5 6 6 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.321926431806 0.598720369644 ==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_0101_1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_5']), '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_1'], 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : negation(d['c_0101_1']), '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' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0011_0']), 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : negation(d['c_0101_1']), '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_5, c_0101_1, c_0101_2, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t - 6376*c_0101_6^16 - 29476*c_0101_6^15 + 45476*c_0101_6^14 + 245512*c_0101_6^13 + 5918*c_0101_6^12 - 713622*c_0101_6^11 - 120912*c_0101_6^10 + 1188862*c_0101_6^9 + 89111*c_0101_6^8 - 1327626*c_0101_6^7 + 230943*c_0101_6^6 + 915906*c_0101_6^5 - 497275*c_0101_6^4 - 185696*c_0101_6^3 + 249338*c_0101_6^2 - 83913*c_0101_6 + 9818, c_0011_0 - 1, c_0011_1 + 3603*c_0101_6^16 + 16466*c_0101_6^15 - 26649*c_0101_6^14 - 137726*c_0101_6^13 + 4373*c_0101_6^12 + 406274*c_0101_6^11 + 48044*c_0101_6^10 - 682942*c_0101_6^9 - 18755*c_0101_6^8 + 764694*c_0101_6^7 - 165084*c_0101_6^6 - 523637*c_0101_6^5 + 306372*c_0101_6^4 + 99576*c_0101_6^3 - 148590*c_0101_6^2 + 52009*c_0101_6 - 6307, c_0011_5 - 5441*c_0101_6^16 - 24721*c_0101_6^15 + 40987*c_0101_6^14 + 207331*c_0101_6^13 - 12519*c_0101_6^12 - 616688*c_0101_6^11 - 57927*c_0101_6^10 + 1041608*c_0101_6^9 + 6523*c_0101_6^8 - 1168075*c_0101_6^7 + 272717*c_0101_6^6 + 797632*c_0101_6^5 - 480015*c_0101_6^4 - 148055*c_0101_6^3 + 229859*c_0101_6^2 - 81378*c_0101_6 + 9947, c_0101_1 + 6344*c_0101_6^16 + 28763*c_0101_6^15 - 48100*c_0101_6^14 - 241459*c_0101_6^13 + 17077*c_0101_6^12 + 720309*c_0101_6^11 + 61347*c_0101_6^10 - 1218690*c_0101_6^9 + 1688*c_0101_6^8 + 1367388*c_0101_6^7 - 327990*c_0101_6^6 - 932773*c_0101_6^5 + 567092*c_0101_6^4 + 171552*c_0101_6^3 - 270334*c_0101_6^2 + 96118*c_0101_6 - 11785, c_0101_2 - 1015*c_0101_6^16 - 4561*c_0101_6^15 + 7880*c_0101_6^14 + 38305*c_0101_6^13 - 4345*c_0101_6^12 - 115064*c_0101_6^11 - 4685*c_0101_6^10 + 195694*c_0101_6^9 - 9151*c_0101_6^8 - 219764*c_0101_6^7 + 62594*c_0101_6^6 + 148452*c_0101_6^5 - 97988*c_0101_6^4 - 24677*c_0101_6^3 + 45266*c_0101_6^2 - 16959*c_0101_6 + 2184, c_0101_4 + 9*c_0101_6^16 + 37*c_0101_6^15 - 86*c_0101_6^14 - 316*c_0101_6^13 + 173*c_0101_6^12 + 1031*c_0101_6^11 - 347*c_0101_6^10 - 1824*c_0101_6^9 + 730*c_0101_6^8 + 2038*c_0101_6^7 - 1288*c_0101_6^6 - 1238*c_0101_6^5 + 1393*c_0101_6^4 - 21*c_0101_6^3 - 534*c_0101_6^2 + 285*c_0101_6 - 51, c_0101_6^17 + 4*c_0101_6^16 - 10*c_0101_6^15 - 34*c_0101_6^14 + 23*c_0101_6^13 + 112*c_0101_6^12 - 51*c_0101_6^11 - 197*c_0101_6^10 + 103*c_0101_6^9 + 215*c_0101_6^8 - 167*c_0101_6^7 - 119*c_0101_6^6 + 168*c_0101_6^5 - 21*c_0101_6^4 - 57*c_0101_6^3 + 38*c_0101_6^2 - 10*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB