Magma V2.19-8 Tue Aug 20 2013 16:17:14 on localhost [Seed = 1259001749] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1481 geometric_solution 5.29623363 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 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 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 0 0 0.376854523983 0.550074630955 0 3 2 4 0132 0132 1230 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 1 0 -1 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 1.152376719974 1.237230902847 3 0 4 1 2310 0132 2310 3012 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 0 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 1.152376719974 1.237230902847 5 1 2 5 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 -1 0 1 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 -0.046878392306 0.456348575325 6 2 1 6 0132 3201 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.677354094341 0.349792904601 3 3 5 5 0132 2310 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 -1 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 0 0 0 2.362381521067 0.795821586303 4 6 6 4 0132 3201 2310 1023 0 0 0 0 0 0 1 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.088332767898 0.511516353988 ==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' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_4'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_0011_4'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_4']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_0'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_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_4, c_0101_0, c_0101_1, c_0101_2, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 144829472277038/7064907732461*c_0101_6^15 - 459451562309427/7064907732461*c_0101_6^14 + 4050859333375633/7064907732461*c_0101_6^13 + 2060637611039218/7064907732461*c_0101_6^12 - 18288689570943762/7064907732461*c_0101_6^11 - 7453474696720663/7064907732461*c_0101_6^10 + 23088274630812233/7064907732461*c_0101_6^9 + 4374370688847732/7064907732461*c_0101_6^8 - 1681071898666355/7064907732461*c_0101_6^7 + 24885565239515040/7064907732461*c_0101_6^6 + 8309965919531011/7064907732461*c_0101_6^5 - 17189345113932119/7064907732461*c_0101_6^4 - 8912995220839378/7064907732461*c_0101_6^3 + 1475218085088519/7064907732461*c_0101_6^2 + 1498895408847359/7064907732461*c_0101_6 - 175863993036146/7064907732461, c_0011_0 - 1, c_0011_4 - 3529711086507/7064907732461*c_0101_6^15 - 11536319739227/7064907732461*c_0101_6^14 + 96742425894116/7064907732461*c_0101_6^13 + 56917250621272/7064907732461*c_0101_6^12 - 416158231209734/7064907732461*c_0101_6^11 - 217006188051042/7064907732461*c_0101_6^10 + 457105689486162/7064907732461*c_0101_6^9 + 125020758864687/7064907732461*c_0101_6^8 + 18027576921547/7064907732461*c_0101_6^7 + 614896984320150/7064907732461*c_0101_6^6 + 319407193417496/7064907732461*c_0101_6^5 - 261037808373780/7064907732461*c_0101_6^4 - 157996331734873/7064907732461*c_0101_6^3 + 32467026805466/7064907732461*c_0101_6^2 + 29086511008926/7064907732461*c_0101_6 - 2768808348195/7064907732461, c_0101_0 + 3934985253213/7064907732461*c_0101_6^15 + 14268420311523/7064907732461*c_0101_6^14 - 103730698090275/7064907732461*c_0101_6^13 - 102918065907214/7064907732461*c_0101_6^12 + 455846205229306/7064907732461*c_0101_6^11 + 395129309010834/7064907732461*c_0101_6^10 - 466758581224752/7064907732461*c_0101_6^9 - 283644739563980/7064907732461*c_0101_6^8 - 45612764520439/7064907732461*c_0101_6^7 - 725868308219556/7064907732461*c_0101_6^6 - 568099396373723/7064907732461*c_0101_6^5 + 204905914416927/7064907732461*c_0101_6^4 + 266687050195122/7064907732461*c_0101_6^3 + 17017390312658/7064907732461*c_0101_6^2 - 37148629437439/7064907732461*c_0101_6 - 1640597524435/7064907732461, c_0101_1 + 12444140758323/7064907732461*c_0101_6^15 + 53595860956136/7064907732461*c_0101_6^14 - 295259181856920/7064907732461*c_0101_6^13 - 540149998185949/7064907732461*c_0101_6^12 + 1171141920696445/7064907732461*c_0101_6^11 + 2148594398827299/7064907732461*c_0101_6^10 - 447236302303231/7064907732461*c_0101_6^9 - 1561760300178774/7064907732461*c_0101_6^8 - 785398652581504/7064907732461*c_0101_6^7 - 2637971525777270/7064907732461*c_0101_6^6 - 3500000433148030/7064907732461*c_0101_6^5 - 1002979936402056/7064907732461*c_0101_6^4 + 679401754195645/7064907732461*c_0101_6^3 + 404909871765440/7064907732461*c_0101_6^2 - 18673035335935/7064907732461*c_0101_6 - 35292214217392/7064907732461, c_0101_2 - 10399109958047/7064907732461*c_0101_6^15 - 42670156000024/7064907732461*c_0101_6^14 + 254442383880700/7064907732461*c_0101_6^13 + 396221559003508/7064907732461*c_0101_6^12 - 1032649354319171/7064907732461*c_0101_6^11 - 1565752032194935/7064907732461*c_0101_6^10 + 574794036974963/7064907732461*c_0101_6^9 + 1115935245407077/7064907732461*c_0101_6^8 + 561774848844851/7064907732461*c_0101_6^7 + 2129104920704467/7064907732461*c_0101_6^6 + 2492160439225038/7064907732461*c_0101_6^5 + 516190500938261/7064907732461*c_0101_6^4 - 569972233730587/7064907732461*c_0101_6^3 - 290748650512144/7064907732461*c_0101_6^2 + 19596304788670/7064907732461*c_0101_6 + 26701657903373/7064907732461, c_0101_5 - 10075121017387/7064907732461*c_0101_6^15 - 43595447770769/7064907732461*c_0101_6^14 + 238353084085684/7064907732461*c_0101_6^13 + 442713961704935/7064907732461*c_0101_6^12 - 943855201964677/7064907732461*c_0101_6^11 - 1760833011484445/7064907732461*c_0101_6^10 + 337895950268655/7064907732461*c_0101_6^9 + 1286820422737507/7064907732461*c_0101_6^8 + 669214554387841/7064907732461*c_0101_6^7 + 2138192055994539/7064907732461*c_0101_6^6 + 2858653901676391/7064907732461*c_0101_6^5 + 836775974867533/7064907732461*c_0101_6^4 - 568591941966284/7064907732461*c_0101_6^3 - 360615961475041/7064907732461*c_0101_6^2 + 6435517352355/7064907732461*c_0101_6 + 33749366160590/7064907732461, c_0101_6^16 + 4*c_0101_6^15 - 25*c_0101_6^14 - 36*c_0101_6^13 + 106*c_0101_6^12 + 144*c_0101_6^11 - 83*c_0101_6^10 - 116*c_0101_6^9 - 31*c_0101_6^8 - 189*c_0101_6^7 - 218*c_0101_6^6 - 2*c_0101_6^5 + 81*c_0101_6^4 + 19*c_0101_6^3 - 12*c_0101_6^2 - 3*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB