Magma V2.19-8 Tue Aug 20 2013 16:18:58 on localhost [Seed = 2783197385] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3124 geometric_solution 6.28682431 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 0 0 0 0 0 -1 0 1 1 0 -1 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 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 0.715779262790 0.998656645313 0 3 5 4 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.256287920702 0.751320423913 3 0 4 5 3201 0132 3201 0132 0 0 0 0 0 1 -1 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 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 0.256287920702 0.751320423913 3 1 3 2 2310 0132 3201 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165021321105 1.124412374062 2 6 1 6 2310 0132 0132 2310 0 0 0 0 0 0 0 0 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 0 0 0 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 0.847633361659 1.637943949587 5 5 2 1 1302 2031 0132 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 0.364739789675 0.924869714801 4 4 6 6 3201 0132 2031 1302 0 0 0 0 0 0 1 -1 -1 0 1 0 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 0 1 -1 -1 0 1 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.428978723752 0.190244517235 ==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' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_2'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0011_5']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], '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_5'], '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' : negation(d['c_0101_1']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0110_6']), 'c_1001_1' : d['c_0011_5'], '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' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0011_5'], '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_0011_5, c_0101_0, c_0101_1, c_0101_2, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 114085664101/5116762903*c_0101_2*c_0110_6^12 + 100741165716/730966129*c_0101_2*c_0110_6^11 + 788038813614/5116762903*c_0101_2*c_0110_6^10 - 167213720992/5116762903*c_0101_2*c_0110_6^9 - 466689829195/730966129*c_0101_2*c_0110_6^8 - 2466513054772/5116762903*c_0101_2*c_0110_6^7 + 1785325158556/5116762903*c_0101_2*c_0110_6^6 + 2691998547772/5116762903*c_0101_2*c_0110_6^5 + 2496127554580/5116762903*c_0101_2*c_0110_6^4 - 131941287660/730966129*c_0101_2*c_0110_6^3 - 66319843386/5116762903*c_0101_2*c_0110_6^2 + 585068268208/5116762903*c_0101_2*c_0110_6 - 390161816222/5116762903*c_0101_2, c_0011_0 - 1, c_0011_4 - 41991949/730966129*c_0101_2*c_0110_6^12 + 289906963/730966129*c_0101_2*c_0110_6^11 + 93049125/730966129*c_0101_2*c_0110_6^10 - 205339293/730966129*c_0101_2*c_0110_6^9 - 1101768722/730966129*c_0101_2*c_0110_6^8 - 333298837/730966129*c_0101_2*c_0110_6^7 + 847980567/730966129*c_0101_2*c_0110_6^6 + 156180227/730966129*c_0101_2*c_0110_6^5 + 1121615538/730966129*c_0101_2*c_0110_6^4 - 164430336/730966129*c_0101_2*c_0110_6^3 + 1311454350/730966129*c_0101_2*c_0110_6^2 - 329479924/730966129*c_0101_2*c_0110_6 - 842007858/730966129*c_0101_2, c_0011_5 + 107396466/730966129*c_0101_2*c_0110_6^12 - 533337067/730966129*c_0101_2*c_0110_6^11 - 1567414051/730966129*c_0101_2*c_0110_6^10 - 598426869/730966129*c_0101_2*c_0110_6^9 + 3207546639/730966129*c_0101_2*c_0110_6^8 + 5914575430/730966129*c_0101_2*c_0110_6^7 + 714996835/730966129*c_0101_2*c_0110_6^6 - 4454462438/730966129*c_0101_2*c_0110_6^5 - 5049850698/730966129*c_0101_2*c_0110_6^4 - 2412360592/730966129*c_0101_2*c_0110_6^3 + 1780575386/730966129*c_0101_2*c_0110_6^2 - 371932742/730966129*c_0101_2*c_0110_6 + 351114237/730966129*c_0101_2, c_0101_0 - 37955269/730966129*c_0110_6^12 + 242886467/730966129*c_0110_6^11 + 205339293/730966129*c_0110_6^10 - 115997799/730966129*c_0110_6^9 - 800483786/730966129*c_0110_6^8 - 386069128/730966129*c_0110_6^7 + 977602396/730966129*c_0110_6^6 + 12167085/730966129*c_0110_6^5 - 3537460/730966129*c_0110_6^4 - 1395438248/730966129*c_0110_6^3 + 497447720/730966129*c_0110_6^2 + 1488990089/730966129*c_0110_6 - 41991949/730966129, c_0101_1 - 194183745/730966129*c_0110_6^12 + 1247807855/730966129*c_0110_6^11 + 990230429/730966129*c_0110_6^10 - 175730942/730966129*c_0110_6^9 - 5599693658/730966129*c_0110_6^8 - 3480141788/730966129*c_0110_6^7 + 2260265296/730966129*c_0110_6^6 + 4855160950/730966129*c_0110_6^5 + 5527377692/730966129*c_0110_6^4 - 1851173448/730966129*c_0110_6^3 - 60973846/730966129*c_0110_6^2 - 515784711/730966129*c_0110_6 - 452640797/730966129, c_0101_2^2 + 56891032/730966129*c_0110_6^12 - 277110679/730966129*c_0110_6^11 - 848974768/730966129*c_0110_6^10 - 448680934/730966129*c_0110_6^9 + 1649563537/730966129*c_0110_6^8 + 3153254459/730966129*c_0110_6^7 + 782086023/730966129*c_0110_6^6 - 2068038436/730966129*c_0110_6^5 - 2477430753/730966129*c_0110_6^4 - 1369752183/730966129*c_0110_6^3 - 64716033/730966129*c_0110_6^2 - 156413562/730966129*c_0110_6 - 444804059/730966129, c_0110_6^13 - 6*c_0110_6^12 - 8*c_0110_6^11 + 29*c_0110_6^9 + 27*c_0110_6^8 - 11*c_0110_6^7 - 27*c_0110_6^6 - 27*c_0110_6^5 + 4*c_0110_6^4 + 2*c_0110_6^3 - 4*c_0110_6^2 + 2*c_0110_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB