Magma V2.19-8 Tue Aug 20 2013 16:16:58 on localhost [Seed = 1983376034] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1221 geometric_solution 5.11690005 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 2031 1302 0 0 0 0 0 0 0 0 1 0 0 -1 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 1 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474685681917 0.492169232575 0 3 2 4 0132 0132 1230 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 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 0.984753450290 1.052639955827 3 0 4 1 2310 0132 0132 3012 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 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 0.984753450290 1.052639955827 3 1 2 3 3201 0132 3201 2310 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 -0.287953379189 0.787993830240 5 5 1 2 0132 2310 0132 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 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 0.257988334381 1.113471130121 4 6 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.428426861081 0.394817446326 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 2.550146960447 0.375182645820 ==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' : negation(d['1']), 's_2_0' : negation(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_0101_2']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0101_3']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_0101_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], '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' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : 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_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_3'], '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_3']), 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_0101_3'], '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_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 1077829506/57610609*c_0101_3*c_0101_6^12 + 1924469391/115221218*c_0101_3*c_0101_6^11 - 3080340800/57610609*c_0101_3*c_0101_6^10 - 11813213623/57610609*c_0101_3*c_0101_6^9 - 34582130747/115221218*c_0101_3*c_0101_6^8 - 19557755495/115221218*c_0101_3*c_0101_6^7 + 2281798901/57610609*c_0101_3*c_0101_6^6 + 12909371238/57610609*c_0101_3*c_0101_6^5 + 8809063590/57610609*c_0101_3*c_0101_6^4 + 423853783/57610609*c_0101_3*c_0101_6^3 - 583310561/115221218*c_0101_3*c_0101_6^2 - 1073917895/115221218*c_0101_3*c_0101_6 + 1169619390/57610609*c_0101_3, c_0011_0 - 1, c_0011_4 - 6245037/8230087*c_0101_3*c_0101_6^12 - 6676809/8230087*c_0101_3*c_0101_6^11 + 17902809/8230087*c_0101_3*c_0101_6^10 + 68165714/8230087*c_0101_3*c_0101_6^9 + 107869125/8230087*c_0101_3*c_0101_6^8 + 73874682/8230087*c_0101_3*c_0101_6^7 + 20966390/8230087*c_0101_3*c_0101_6^6 - 33660334/8230087*c_0101_3*c_0101_6^5 - 33322080/8230087*c_0101_3*c_0101_6^4 + 814780/8230087*c_0101_3*c_0101_6^3 - 13025481/8230087*c_0101_3*c_0101_6^2 + 4884884/8230087*c_0101_3*c_0101_6 - 431879/8230087*c_0101_3, c_0101_0 + 12819441/8230087*c_0101_6^12 + 14703625/8230087*c_0101_6^11 - 32820062/8230087*c_0101_6^10 - 149185551/8230087*c_0101_6^9 - 238121934/8230087*c_0101_6^8 - 175963369/8230087*c_0101_6^7 - 31422033/8230087*c_0101_6^6 + 100765124/8230087*c_0101_6^5 + 79984172/8230087*c_0101_6^4 + 1422450/8230087*c_0101_6^3 - 9953858/8230087*c_0101_6^2 + 6178986/8230087*c_0101_6 + 9471156/8230087, c_0101_1 + 6854055/8230087*c_0101_6^12 + 3657662/8230087*c_0101_6^11 - 16594057/8230087*c_0101_6^10 - 62279186/8230087*c_0101_6^9 - 96356810/8230087*c_0101_6^8 - 82306255/8230087*c_0101_6^7 - 56394130/8230087*c_0101_6^6 + 6671701/8230087*c_0101_6^5 + 4766969/8230087*c_0101_6^4 + 6272340/8230087*c_0101_6^3 + 19205817/8230087*c_0101_6^2 - 2392286/8230087*c_0101_6 + 6901756/8230087, c_0101_2 - 2388963/8230087*c_0101_3*c_0101_6^12 - 2908033/8230087*c_0101_3*c_0101_6^11 + 4647741/8230087*c_0101_3*c_0101_6^10 + 31086327/8230087*c_0101_3*c_0101_6^9 + 50513422/8230087*c_0101_3*c_0101_6^8 + 36948319/8230087*c_0101_3*c_0101_6^7 - 6063551/8230087*c_0101_3*c_0101_6^6 - 39663944/8230087*c_0101_3*c_0101_6^5 - 19943285/8230087*c_0101_3*c_0101_6^4 + 2865583/8230087*c_0101_3*c_0101_6^3 + 27228514/8230087*c_0101_3*c_0101_6^2 + 924862/8230087*c_0101_3*c_0101_6 - 4273147/8230087*c_0101_3, c_0101_3^2 - 98550675/106991131*c_0101_6^12 - 104321220/106991131*c_0101_6^11 + 287840893/106991131*c_0101_6^10 + 1142204330/106991131*c_0101_6^9 + 1669643848/106991131*c_0101_6^8 + 920985001/106991131*c_0101_6^7 - 21376019/8230087*c_0101_6^6 - 1073982645/106991131*c_0101_6^5 - 578999337/106991131*c_0101_6^4 + 274971751/106991131*c_0101_6^3 + 224812755/106991131*c_0101_6^2 - 11656145/106991131*c_0101_6 - 143813380/106991131, c_0101_6^13 + 4/3*c_0101_6^12 - 7/3*c_0101_6^11 - 12*c_0101_6^10 - 21*c_0101_6^9 - 53/3*c_0101_6^8 - 16/3*c_0101_6^7 + 25/3*c_0101_6^6 + 28/3*c_0101_6^5 + 5/3*c_0101_6^4 - c_0101_6^3 - c_0101_6^2 + 2/3*c_0101_6 + 1/3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.230 seconds, Total memory usage: 32.09MB