Magma V2.19-8 Tue Aug 20 2013 16:15:56 on localhost [Seed = 1174919803] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0175 geometric_solution 3.97678775 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 2 0132 0132 2310 2310 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 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 -3.855756131136 3.192903627108 0 0 3 3 0132 3201 3201 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 0.195820004700 0.287789468596 0 0 4 4 3201 0132 3201 0132 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 0 0 0 0 0.105132323017 0.045686505117 1 5 1 6 2310 0132 0132 0132 0 0 0 0 0 -1 1 0 0 0 0 0 0 -1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.479813792369 0.918214376191 2 4 2 4 2310 1302 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -8.911240542765 3.508626428447 6 3 6 6 3120 0132 3012 2310 0 0 0 0 0 1 -1 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 -1 0 1 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 0.472644844638 0.870584431434 5 5 3 5 3201 1230 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 1 -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 0.472644844638 0.870584431434 ==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' : d['1'], 's_2_0' : 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_0011_3']), 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_1']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0011_6']), 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_4']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_1']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_4'])})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 15029753715669454325/58341084672426907*c_0101_4^17 + 13594553688018852895/58341084672426907*c_0101_4^16 - 28504352823855815019/58341084672426907*c_0101_4^15 - 93468224635784938237/58341084672426907*c_0101_4^14 - 73953336912727631527/58341084672426907*c_0101_4^13 - 198329120389542660020/58341084672426907*c_0101_4^12 - 294744370437568317063/58341084672426907*c_0101_4^11 + 102575255983931845463/4487775744032839*c_0101_4^10 + 1433099857555816579265/58341084672426907*c_0101_4^9 - 2209532040262702344476/58341084672426907*c_0101_4^8 - 133208556611647543221/4487775744032839*c_0101_4^7 + 1562485208904595449641/58341084672426907*c_0101_4^6 + 821876389984892622372/58341084672426907*c_0101_4^5 - 400292630583173644341/58341084672426907*c_0101_4^4 - 171354631434078807503/58341084672426907*c_0101_4^3 + 99196970383525604/58341084672426907*c_0101_4^2 + 23673450817744199423/58341084672426907*c_0101_4 - 2224671515193213851/58341084672426907, c_0011_0 - 1, c_0011_3 - 6394109314049445/4487775744032839*c_0101_4^17 - 10127253841748523/4487775744032839*c_0101_4^16 + 4381581889814903/4487775744032839*c_0101_4^15 + 40534955992481557/4487775744032839*c_0101_4^14 + 58447151015083750/4487775744032839*c_0101_4^13 + 130448785049591018/4487775744032839*c_0101_4^12 + 226923041948571399/4487775744032839*c_0101_4^11 - 388483511446776292/4487775744032839*c_0101_4^10 - 827814456200470248/4487775744032839*c_0101_4^9 + 351567637160911011/4487775744032839*c_0101_4^8 + 803592207170378068/4487775744032839*c_0101_4^7 - 164884719292596109/4487775744032839*c_0101_4^6 - 289493331520983640/4487775744032839*c_0101_4^5 + 36331968932287167/4487775744032839*c_0101_4^4 + 51701490391048799/4487775744032839*c_0101_4^3 + 2475149533288495/4487775744032839*c_0101_4^2 - 19233942784874219/4487775744032839*c_0101_4 + 682790913871765/4487775744032839, c_0011_4 - 13990731481910685/4487775744032839*c_0101_4^17 - 19729192623651209/4487775744032839*c_0101_4^16 + 13540335163110969/4487775744032839*c_0101_4^15 + 89274242588437305/4487775744032839*c_0101_4^14 + 114672161158272600/4487775744032839*c_0101_4^13 + 261304028009103498/4487775744032839*c_0101_4^12 + 434159272384526151/4487775744032839*c_0101_4^11 - 953560071855333953/4487775744032839*c_0101_4^10 - 1709457483637816998/4487775744032839*c_0101_4^9 + 1032226711153124014/4487775744032839*c_0101_4^8 + 1774771641064352100/4487775744032839*c_0101_4^7 - 491059667019780257/4487775744032839*c_0101_4^6 - 676366734586423271/4487775744032839*c_0101_4^5 + 52405365555886179/4487775744032839*c_0101_4^4 + 70821945297929685/4487775744032839*c_0101_4^3 + 17448919701871412/4487775744032839*c_0101_4^2 - 5680920370751861/4487775744032839*c_0101_4 + 5503063736631618/4487775744032839, c_0011_6 - 10576776912551860/4487775744032839*c_0101_4^17 - 17929810971239474/4487775744032839*c_0101_4^16 + 3413081321362446/4487775744032839*c_0101_4^15 + 66344187923381608/4487775744032839*c_0101_4^14 + 106728962265858842/4487775744032839*c_0101_4^13 + 237816269359575448/4487775744032839*c_0101_4^12 + 408931729071354749/4487775744032839*c_0101_4^11 - 569595119716256604/4487775744032839*c_0101_4^10 - 1401494262935392990/4487775744032839*c_0101_4^9 + 272691346339830266/4487775744032839*c_0101_4^8 + 1252366908469403911/4487775744032839*c_0101_4^7 + 80383629434197711/4487775744032839*c_0101_4^6 - 357835486857809760/4487775744032839*c_0101_4^5 - 100529783190744461/4487775744032839*c_0101_4^4 - 1409841075393783/4487775744032839*c_0101_4^3 + 35693655313203726/4487775744032839*c_0101_4^2 + 1573765559638989/4487775744032839*c_0101_4 - 4463566907107407/4487775744032839, c_0101_0 + 5076439962993895/4487775744032839*c_0101_4^17 - 1807275570725337/4487775744032839*c_0101_4^16 - 19729192623651209/4487775744032839*c_0101_4^15 - 27071184540840191/4487775744032839*c_0101_4^14 + 17188795113923996/4487775744032839*c_0101_4^13 - 7162397953580880/4487775744032839*c_0101_4^12 + 29818365696581886/4487775744032839*c_0101_4^11 + 667675510682245321/4487775744032839*c_0101_4^10 + 82033680595420627/4487775744032839*c_0101_4^9 - 1607928684377939098/4487775744032839*c_0101_4^8 - 267341919373313106/4487775744032839*c_0101_4^7 + 1429573723580767240/4487775744032839*c_0101_4^6 + 227764231740155275/4487775744032839*c_0101_4^5 - 473309136066667471/4487775744032839*c_0101_4^4 - 109025425267319682/4487775744032839*c_0101_4^3 + 21072833660589514/4487775744032839*c_0101_4^2 + 29043711394095704/4487775744032839*c_0101_4 + 1426095577439592/4487775744032839, c_0101_1 + 24108688046048590/4487775744032839*c_0101_4^17 + 30147924573422851/4487775744032839*c_0101_4^16 - 37493929733837616/4487775744032839*c_0101_4^15 - 168025380280235037/4487775744032839*c_0101_4^14 - 175908540799556263/4487775744032839*c_0101_4^13 - 363088075276589409/4487775744032839*c_0101_4^12 - 570121931155203152/4487775744032839*c_0101_4^11 + 1991567176737733055/4487775744032839*c_0101_4^10 + 3093011298014889169/4487775744032839*c_0101_4^9 - 2582096996472315344/4487775744032839*c_0101_4^8 - 4085318115084056601/4487775744032839*c_0101_4^7 + 1154697107288545909/4487775744032839*c_0101_4^6 + 2164858851495272351/4487775744032839*c_0101_4^5 + 69799231338123499/4487775744032839*c_0101_4^4 - 442371876401084035/4487775744032839*c_0101_4^3 - 133070521695505215/4487775744032839*c_0101_4^2 + 19255501083972572/4487775744032839*c_0101_4 + 6469884208997343/4487775744032839, c_0101_4^18 + 12/5*c_0101_4^17 - 8*c_0101_4^15 - 71/5*c_0101_4^14 - 24*c_0101_4^13 - 228/5*c_0101_4^12 + 46*c_0101_4^11 + 204*c_0101_4^10 + 20*c_0101_4^9 - 256*c_0101_4^8 - 68*c_0101_4^7 + 708/5*c_0101_4^6 + 40*c_0101_4^5 - 159/5*c_0101_4^4 - 49/5*c_0101_4^3 + 7/5*c_0101_4^2 + 7/5*c_0101_4 - 1/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB