Magma V2.19-8 Tue Aug 20 2013 16:18:53 on localhost [Seed = 2227509745] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3056 geometric_solution 6.22558090 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 0 1 -1 1 0 0 -1 1 0 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 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 0.508715896550 0.549466570956 3 0 4 3 0132 0132 0132 3012 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 -1 1 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 0.893063942781 1.317965768366 5 3 6 0 0132 1302 0132 0132 0 0 0 0 0 1 0 -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 -1 0 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 0.350825985123 1.020893102513 1 6 1 2 0132 3201 1230 2031 0 0 0 0 0 0 -1 1 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 1 -1 -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 0.809234937272 0.426898508918 6 5 5 1 1023 3201 0213 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 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 0.208511072506 1.201444596818 2 4 4 6 0132 0213 2310 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -0.397249130668 1.347777304554 5 4 3 2 3012 1023 2310 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 1.033291680969 0.509970987344 ==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' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_0'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_2']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_3'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : d['c_0011_2'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : 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_2, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 16708151216821009/11943815046354478*c_0101_6^10 + 93247149339172169/5971907523177239*c_0101_6^9 - 774685449645940041/11943815046354478*c_0101_6^8 + 90326513088893867/853129646168177*c_0101_6^7 - 890300900658580736/5971907523177239*c_0101_6^6 + 1665682916877556057/5971907523177239*c_0101_6^5 - 288690906759090369/11943815046354478*c_0101_6^4 - 1269103322940281618/5971907523177239*c_0101_6^3 - 663879754987741384/5971907523177239*c_0101_6^2 + 4632930089987963/121875663738311*c_0101_6 + 764673852182755174/5971907523177239, c_0011_0 - 1, c_0011_2 - 951663203083/17410809105473*c_0101_6^10 + 10277487797058/17410809105473*c_0101_6^9 - 40513445763925/17410809105473*c_0101_6^8 + 58400509579658/17410809105473*c_0101_6^7 - 83424348437475/17410809105473*c_0101_6^6 + 160851286810197/17410809105473*c_0101_6^5 + 5290817122521/2487258443639*c_0101_6^4 - 121125871651502/17410809105473*c_0101_6^3 - 95806211147534/17410809105473*c_0101_6^2 - 19464086110267/17410809105473*c_0101_6 + 10054927362315/2487258443639, c_0011_4 - 222373150099/17410809105473*c_0101_6^10 + 2293254819619/17410809105473*c_0101_6^9 - 8431014001311/17410809105473*c_0101_6^8 + 10279193619897/17410809105473*c_0101_6^7 - 16631374396515/17410809105473*c_0101_6^6 + 30141902687858/17410809105473*c_0101_6^5 + 2888906827679/2487258443639*c_0101_6^4 - 12624779083381/17410809105473*c_0101_6^3 - 21123709701473/17410809105473*c_0101_6^2 - 4283493001024/17410809105473*c_0101_6 + 401813240825/2487258443639, c_0101_0 - 1422774745237/17410809105473*c_0101_6^10 + 15323325237748/17410809105473*c_0101_6^9 - 60067513453658/17410809105473*c_0101_6^8 + 85191669980666/17410809105473*c_0101_6^7 - 121789859970497/17410809105473*c_0101_6^6 + 238754091001652/17410809105473*c_0101_6^5 + 9320036909588/2487258443639*c_0101_6^4 - 180721818468886/17410809105473*c_0101_6^3 - 158103157698223/17410809105473*c_0101_6^2 - 33199186476404/17410809105473*c_0101_6 + 13830153013352/2487258443639, c_0101_1 - 503981650852/17410809105473*c_0101_6^10 + 5219910945631/17410809105473*c_0101_6^9 - 19133048386630/17410809105473*c_0101_6^8 + 22358561299511/17410809105473*c_0101_6^7 - 34078644086678/17410809105473*c_0101_6^6 + 70594143088362/17410809105473*c_0101_6^5 + 7181096736463/2487258443639*c_0101_6^4 - 41237888261750/17410809105473*c_0101_6^3 - 63980756927140/17410809105473*c_0101_6^2 - 33838395197540/17410809105473*c_0101_6 + 4195753899074/2487258443639, c_0101_3 - 1767006444045/17410809105473*c_0101_6^10 + 18879401284763/17410809105473*c_0101_6^9 - 73115533118791/17410809105473*c_0101_6^8 + 100650417119688/17410809105473*c_0101_6^7 - 145069273107933/17410809105473*c_0101_6^6 + 280945802995943/17410809105473*c_0101_6^5 + 15033530962885/2487258443639*c_0101_6^4 - 212611116877405/17410809105473*c_0101_6^3 - 170646921301687/17410809105473*c_0101_6^2 - 42999076936153/17410809105473*c_0101_6 + 13226828473355/2487258443639, c_0101_6^11 - 10*c_0101_6^10 + 34*c_0101_6^9 - 28*c_0101_6^8 + 41*c_0101_6^7 - 101*c_0101_6^6 - 173*c_0101_6^5 + 89*c_0101_6^4 + 191*c_0101_6^3 + 98*c_0101_6^2 - 46*c_0101_6 - 49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB