Magma V2.19-8 Tue Aug 20 2013 16:16:01 on localhost [Seed = 1797978030] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0269 geometric_solution 4.31563348 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.935832081657 0.076401429776 0 0 1 1 0132 3201 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 0.744742942799 0.099010274209 3 0 4 0 0132 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.940855318811 0.138536789373 2 5 4 6 0132 0132 3012 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 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 0.679487016598 0.385657603330 5 3 6 2 0213 1230 3012 0132 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 -1 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 0.679487016598 0.385657603330 4 3 6 6 0213 0132 0132 2310 0 0 0 0 0 0 -1 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 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 1.096444007275 0.823629034065 5 4 3 5 3201 1230 0132 0132 0 0 0 0 0 0 -1 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 0 -1 0 1 0 0 0 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.140248281427 1.197716269006 ==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' : negation(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' : d['c_0011_6'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_0'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : negation(d['c_0011_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_0']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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_0011_0']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0011_4'], 'c_1010_6' : negation(d['c_0011_0']), 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0101_3']})} 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_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 10227567174763807/1418622478780864*c_0101_3^13 + 74252245704364919/1418622478780864*c_0101_3^12 - 80150029958318097/709311239390432*c_0101_3^11 - 9235154669112805/202660354111552*c_0101_3^10 + 541349463411945449/1418622478780864*c_0101_3^9 + 229612756429943239/1418622478780864*c_0101_3^8 - 976155668203040795/709311239390432*c_0101_3^7 + 721116500952582085/1418622478780864*c_0101_3^6 + 1144967618836658565/709311239390432*c_0101_3^5 - 946530181880390999/709311239390432*c_0101_3^4 - 16251731309477057/177327809847608*c_0101_3^3 + 70057521025534425/88663904923804*c_0101_3^2 - 317606359994039201/354655619695216*c_0101_3 + 453352033360388383/1418622478780864, c_0011_0 - 1, c_0011_4 - 10525586545/102147355903*c_0101_3^13 + 66782009232/102147355903*c_0101_3^12 - 110910628163/102147355903*c_0101_3^11 - 124751559334/102147355903*c_0101_3^10 + 378229175297/102147355903*c_0101_3^9 + 483882531880/102147355903*c_0101_3^8 - 1339357166122/102147355903*c_0101_3^7 - 86197917689/102147355903*c_0101_3^6 + 1452979533063/102147355903*c_0101_3^5 - 910570246916/102147355903*c_0101_3^4 - 25094484100/102147355903*c_0101_3^3 + 851768727795/102147355903*c_0101_3^2 - 790944132335/102147355903*c_0101_3 + 245636829184/102147355903, c_0011_6 - 10525586545/102147355903*c_0101_3^13 + 66782009232/102147355903*c_0101_3^12 - 110910628163/102147355903*c_0101_3^11 - 124751559334/102147355903*c_0101_3^10 + 378229175297/102147355903*c_0101_3^9 + 483882531880/102147355903*c_0101_3^8 - 1339357166122/102147355903*c_0101_3^7 - 86197917689/102147355903*c_0101_3^6 + 1452979533063/102147355903*c_0101_3^5 - 910570246916/102147355903*c_0101_3^4 - 25094484100/102147355903*c_0101_3^3 + 851768727795/102147355903*c_0101_3^2 - 790944132335/102147355903*c_0101_3 + 245636829184/102147355903, c_0101_0 + 251931217/804309889*c_0101_3^13 - 1878113671/804309889*c_0101_3^12 + 4264137930/804309889*c_0101_3^11 + 1085643092/804309889*c_0101_3^10 - 14078275164/804309889*c_0101_3^9 - 3614578622/804309889*c_0101_3^8 + 50818564087/804309889*c_0101_3^7 - 25041344858/804309889*c_0101_3^6 - 58671415809/804309889*c_0101_3^5 + 56255027135/804309889*c_0101_3^4 + 1160982444/804309889*c_0101_3^3 - 30457668822/804309889*c_0101_3^2 + 35465435537/804309889*c_0101_3 - 14131724093/804309889, c_0101_1 - 8958241827/102147355903*c_0101_3^13 + 51941589362/102147355903*c_0101_3^12 - 59283240862/102147355903*c_0101_3^11 - 177123212400/102147355903*c_0101_3^10 + 272485827638/102147355903*c_0101_3^9 + 668635183029/102147355903*c_0101_3^8 - 945728418796/102147355903*c_0101_3^7 - 1017435855750/102147355903*c_0101_3^6 + 1284490775101/102147355903*c_0101_3^5 + 399406600430/102147355903*c_0101_3^4 - 513632572601/102147355903*c_0101_3^3 + 438700583154/102147355903*c_0101_3^2 - 164871276344/102147355903*c_0101_3 - 165765157344/102147355903, c_0101_2 - 22966850094/102147355903*c_0101_3^13 + 152875698018/102147355903*c_0101_3^12 - 278958480798/102147355903*c_0101_3^11 - 244049883969/102147355903*c_0101_3^10 + 966904083666/102147355903*c_0101_3^9 + 924440099192/102147355903*c_0101_3^8 - 3443892293782/102147355903*c_0101_3^7 + 231815531831/102147355903*c_0101_3^6 + 3917261727701/102147355903*c_0101_3^5 - 2601973510175/102147355903*c_0101_3^4 - 262525736971/102147355903*c_0101_3^3 + 2180352633133/102147355903*c_0101_3^2 - 1885960383645/102147355903*c_0101_3 + 545929494447/102147355903, c_0101_3^14 - 8*c_0101_3^13 + 21*c_0101_3^12 - 5*c_0101_3^11 - 58*c_0101_3^10 + 16*c_0101_3^9 + 209*c_0101_3^8 - 209*c_0101_3^7 - 177*c_0101_3^6 + 348*c_0101_3^5 - 118*c_0101_3^4 - 120*c_0101_3^3 + 204*c_0101_3^2 - 133*c_0101_3 + 31 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB