Magma V2.19-8 Tue Aug 20 2013 16:16:15 on localhost [Seed = 3153733497] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0514 geometric_solution 4.52014169 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0.194324095748 0.462731873704 2 2 3 0 1023 3012 0132 0132 0 0 0 0 0 1 0 -1 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 -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 0.414416747376 1.173497761834 1 1 0 3 1230 1023 0132 2310 0 0 0 0 0 0 1 -1 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 0.414416747376 1.173497761834 2 4 4 1 3201 0132 3201 0132 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 -1 0 1 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 0.334940723690 0.554040766472 3 3 5 5 2310 0132 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 1 -1 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 2.544792828961 1.715862505467 6 4 4 6 0132 3201 0132 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.311224914520 0.109819471032 5 5 6 6 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 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 2.980438043380 0.254551359230 ==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' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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' : 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_0011_1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0011_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_1'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_1']), 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : negation(d['c_0101_0']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_3']), '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' : d['c_0011_3'], 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_4']), 'c_1001_4' : negation(d['c_0011_1']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : negation(d['c_0011_1']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_4']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0101_0']), 'c_0110_2' : d['c_0011_1'], 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : d['c_0011_1'], 'c_0110_6' : d['c_0011_1'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0011_1'], 'c_1010_4' : negation(d['c_0101_4']), 'c_1010_3' : negation(d['c_0011_1']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0011_0']), '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_1, c_0011_3, c_0011_5, c_0101_0, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 32480805287367/250769871895*c_0101_6^15 - 16694636158823/50153974379*c_0101_6^14 - 732816299667013/250769871895*c_0101_6^13 - 651068866020912/250769871895*c_0101_6^12 - 1139645353357363/250769871895*c_0101_6^11 - 662992349501180/50153974379*c_0101_6^10 - 526377678857280/50153974379*c_0101_6^9 - 427111423308337/250769871895*c_0101_6^8 - 1512760094772562/250769871895*c_0101_6^7 - 414284405554777/250769871895*c_0101_6^6 + 4009458353255621/250769871895*c_0101_6^5 + 4274640022979338/250769871895*c_0101_6^4 + 224648199951055/50153974379*c_0101_6^3 - 66711173458037/50153974379*c_0101_6^2 - 79663887095038/250769871895*c_0101_6 + 53814264364224/250769871895, c_0011_0 - 1, c_0011_1 + 193883990323/2950233787*c_0101_6^15 - 518521057061/2950233787*c_0101_6^14 - 4303065816155/2950233787*c_0101_6^13 - 3497697837175/2950233787*c_0101_6^12 - 6763286399271/2950233787*c_0101_6^11 - 19096987778108/2950233787*c_0101_6^10 - 14281348148705/2950233787*c_0101_6^9 - 2235147788334/2950233787*c_0101_6^8 - 8981413256602/2950233787*c_0101_6^7 - 1508728443644/2950233787*c_0101_6^6 + 23291205898609/2950233787*c_0101_6^5 + 23660261692751/2950233787*c_0101_6^4 + 5809764272012/2950233787*c_0101_6^3 - 1942055634184/2950233787*c_0101_6^2 - 426446523975/2950233787*c_0101_6 + 286024039835/2950233787, c_0011_3 + 180149609347/2950233787*c_0101_6^15 - 481024089918/2950233787*c_0101_6^14 - 4001050279013/2950233787*c_0101_6^13 - 3264004437444/2950233787*c_0101_6^12 - 6284425304269/2950233787*c_0101_6^11 - 17774290974858/2950233787*c_0101_6^10 - 13318647389401/2950233787*c_0101_6^9 - 2086388406402/2950233787*c_0101_6^8 - 8357373559075/2950233787*c_0101_6^7 - 1436032019229/2950233787*c_0101_6^6 + 21674428760673/2950233787*c_0101_6^5 + 22039251697755/2950233787*c_0101_6^4 + 5427448725880/2950233787*c_0101_6^3 - 1798576645113/2950233787*c_0101_6^2 - 397563058043/2950233787*c_0101_6 + 265740636327/2950233787, c_0011_5 - 97656177879/2950233787*c_0101_6^15 + 258216110455/2950233787*c_0101_6^14 + 2177300783219/2950233787*c_0101_6^13 + 1820414446568/2950233787*c_0101_6^12 + 3420233620366/2950233787*c_0101_6^11 + 9714862607206/2950233787*c_0101_6^10 + 7419281285774/2950233787*c_0101_6^9 + 1194529039445/2950233787*c_0101_6^8 + 4520231769523/2950233787*c_0101_6^7 + 902678808591/2950233787*c_0101_6^6 - 11803547076129/2950233787*c_0101_6^5 - 12216569329381/2950233787*c_0101_6^4 - 3085565168871/2950233787*c_0101_6^3 + 985044381496/2950233787*c_0101_6^2 + 231474174358/2950233787*c_0101_6 - 148945358821/2950233787, c_0101_0 - 69541616594/2950233787*c_0101_6^15 + 184581266088/2950233787*c_0101_6^14 + 1548547145348/2950233787*c_0101_6^13 + 1280658302723/2950233787*c_0101_6^12 + 2424456317161/2950233787*c_0101_6^11 + 6896938616014/2950233787*c_0101_6^10 + 5213237928906/2950233787*c_0101_6^9 + 806610616147/2950233787*c_0101_6^8 + 3220217411457/2950233787*c_0101_6^7 + 600298129688/2950233787*c_0101_6^6 - 8409440381555/2950233787*c_0101_6^5 - 8609101074494/2950233787*c_0101_6^4 - 2129810699193/2950233787*c_0101_6^3 + 715609525578/2950233787*c_0101_6^2 + 166905118836/2950233787*c_0101_6 - 104977250499/2950233787, c_0101_4 - 134830153683/2950233787*c_0101_6^15 + 362935130398/2950233787*c_0101_6^14 + 2984931351193/2950233787*c_0101_6^13 + 2384241745396/2950233787*c_0101_6^12 + 4685605061558/2950233787*c_0101_6^11 + 13205678144818/2950233787*c_0101_6^10 + 9737912950281/2950233787*c_0101_6^9 + 1479847211327/2950233787*c_0101_6^8 + 6252035493015/2950233787*c_0101_6^7 + 932053499317/2950233787*c_0101_6^6 - 16153536887292/2950233787*c_0101_6^5 - 16192195397370/2950233787*c_0101_6^4 - 3891308153658/2950233787*c_0101_6^3 + 1348759266336/2950233787*c_0101_6^2 + 286383904368/2950233787*c_0101_6 - 194536530493/2950233787, c_0101_6^16 - 2*c_0101_6^15 - 24*c_0101_6^14 - 33*c_0101_6^13 - 47*c_0101_6^12 - 122*c_0101_6^11 - 140*c_0101_6^10 - 61*c_0101_6^9 - 54*c_0101_6^8 - 39*c_0101_6^7 + 115*c_0101_6^6 + 203*c_0101_6^5 + 112*c_0101_6^4 + 10*c_0101_6^3 - 9*c_0101_6^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB