Magma V2.19-8 Tue Aug 20 2013 16:19:12 on localhost [Seed = 1916006262] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3321 geometric_solution 6.45244257 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1023 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 -1 0 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 0.090737327318 1.033701557344 0 4 5 0 0132 0132 0132 1023 0 0 0 0 0 0 1 -1 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 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 -0.414118743155 0.909106807781 4 0 6 3 0132 0132 0132 3201 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 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 0.149391450525 0.774908785147 6 2 5 0 0132 2310 1023 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.149391450525 0.774908785147 2 1 5 5 0132 0132 2103 3201 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 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 0.181984287179 1.208752937444 4 4 3 1 2103 2310 1023 0132 0 0 0 0 0 1 0 -1 -1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.181984287179 1.208752937444 3 6 6 2 0132 1230 3012 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239104183784 1.143957817919 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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' : negation(d['c_1100_0']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_5'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_3']), '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' : d['c_0101_2'], 'c_1001_4' : d['c_0011_5'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : negation(d['c_0101_4']), 'c_1001_3' : d['c_0101_4'], 'c_1001_2' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_5'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_0'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_4']), 'c_1010_2' : negation(d['c_0101_4']), 'c_1010_1' : d['c_0011_5'], '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_3, c_0011_5, c_0101_0, c_0101_2, c_0101_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 571810582376896891219/10049571000416100807*c_0101_4^18 - 10500813474016984963877/16749285000693501345*c_0101_4^17 - 75728882868658523272393/50247855002080504035*c_0101_4^16 + 5163070823696534838359/5583095000231167115*c_0101_4^15 + 23676957029508598809721/50247855002080504035*c_0101_4^14 + 59050257146653498797941/50247855002080504035*c_0101_4^13 + 7767391749550469370658/16749285000693501345*c_0101_4^12 - 2627385501814494041810/3349857000138700269*c_0101_4^11 - 215085669584788011639716/16749285000693501345*c_0101_4^10 + 84924643006034721009727/5583095000231167115*c_0101_4^9 - 768629901439672649115262/50247855002080504035*c_0101_4^8 + 665746915036637267690498/50247855002080504035*c_0101_4^7 + 897269684554124809199294/50247855002080504035*c_0101_4^6 - 1136849145629150899109738/50247855002080504035*c_0101_4^5 - 128458155256058577337766/50247855002080504035*c_0101_4^4 + 19876804258866884994938/3349857000138700269*c_0101_4^3 + 22430887774865584224397/50247855002080504035*c_0101_4^2 - 22238394465952663963786/50247855002080504035*c_0101_4 - 4175686360595575392157/50247855002080504035, c_0011_0 - 1, c_0011_3 - 21319476268373321478/5583095000231167115*c_0101_4^18 - 267630269808284827084/5583095000231167115*c_0101_4^17 - 941048044489285215327/5583095000231167115*c_0101_4^16 - 702126395567088447202/5583095000231167115*c_0101_4^15 + 200011577239294805558/5583095000231167115*c_0101_4^14 + 713811511843986945352/5583095000231167115*c_0101_4^13 + 193103810769194635967/1116619000046233423*c_0101_4^12 + 342604737430501676866/5583095000231167115*c_0101_4^11 - 4958530093870842731531/5583095000231167115*c_0101_4^10 - 1750801354781461660451/5583095000231167115*c_0101_4^9 - 571805029476325469106/5583095000231167115*c_0101_4^8 - 1362810911634265819438/5583095000231167115*c_0101_4^7 + 11194679532969606442316/5583095000231167115*c_0101_4^6 + 3926361847032430469447/5583095000231167115*c_0101_4^5 - 1605104842402764108385/1116619000046233423*c_0101_4^4 - 2637375310252700472234/5583095000231167115*c_0101_4^3 + 1351111473231220750117/5583095000231167115*c_0101_4^2 + 679077153309502806734/5583095000231167115*c_0101_4 + 16304236891704346175/1116619000046233423, c_0011_5 + 30900291393493533849/5583095000231167115*c_0101_4^18 + 367424279946836732768/5583095000231167115*c_0101_4^17 + 1126110651320034644044/5583095000231167115*c_0101_4^16 + 66799226201429288563/1116619000046233423*c_0101_4^15 - 71797535705992281795/1116619000046233423*c_0101_4^14 - 895597793498400681172/5583095000231167115*c_0101_4^13 - 917453600731589307989/5583095000231167115*c_0101_4^12 - 61367086319366663863/5583095000231167115*c_0101_4^11 + 7145862548365504447451/5583095000231167115*c_0101_4^10 - 422231054118099173994/1116619000046233423*c_0101_4^9 + 709937943821943762802/1116619000046233423*c_0101_4^8 - 1773906967300417145449/5583095000231167115*c_0101_4^7 - 13907945007199697216677/5583095000231167115*c_0101_4^6 + 2237726543461437631147/5583095000231167115*c_0101_4^5 + 8040015779726503090541/5583095000231167115*c_0101_4^4 + 541596700326299226617/5583095000231167115*c_0101_4^3 - 1419197104047740206318/5583095000231167115*c_0101_4^2 - 429715319544537637696/5583095000231167115*c_0101_4 - 38899513289710033463/5583095000231167115, c_0101_0 + 41561611557834853381/5583095000231167115*c_0101_4^18 + 467903882722324098102/5583095000231167115*c_0101_4^17 + 1215876752298429367931/5583095000231167115*c_0101_4^16 - 70028735114085946030/1116619000046233423*c_0101_4^15 - 65583860232624419067/1116619000046233423*c_0101_4^14 - 914378639461614912233/5583095000231167115*c_0101_4^13 - 559190763888417147256/5583095000231167115*c_0101_4^12 + 376891709957640234688/5583095000231167115*c_0101_4^11 + 9409436285339873609409/5583095000231167115*c_0101_4^10 - 1772589292257987757536/1116619000046233423*c_0101_4^9 + 1940257456861330972998/1116619000046233423*c_0101_4^8 - 7698049430614590531286/5583095000231167115*c_0101_4^7 - 14276719650430930848923/5583095000231167115*c_0101_4^6 + 12770501544871052516833/5583095000231167115*c_0101_4^5 + 3903246537112977707754/5583095000231167115*c_0101_4^4 - 3023921161308001262997/5583095000231167115*c_0101_4^3 - 689820369639684575812/5583095000231167115*c_0101_4^2 + 138599003130174696486/5583095000231167115*c_0101_4 + 34899672789368513038/5583095000231167115, c_0101_2 + 39959572900686877494/5583095000231167115*c_0101_4^18 + 450148622589788263001/5583095000231167115*c_0101_4^17 + 1171304313431420461903/5583095000231167115*c_0101_4^16 - 339231969110719672023/5583095000231167115*c_0101_4^15 - 355814439064658882338/5583095000231167115*c_0101_4^14 - 183211325389622902165/1116619000046233423*c_0101_4^13 - 562226670248178452471/5583095000231167115*c_0101_4^12 + 369534109825342933852/5583095000231167115*c_0101_4^11 + 1815870517429628909170/1116619000046233423*c_0101_4^10 - 8433806802015651009664/5583095000231167115*c_0101_4^9 + 9087441622305848548336/5583095000231167115*c_0101_4^8 - 7382212955945256327608/5583095000231167115*c_0101_4^7 - 13952659396378191639264/5583095000231167115*c_0101_4^6 + 12148703637284467818476/5583095000231167115*c_0101_4^5 + 4154005731257286261424/5583095000231167115*c_0101_4^4 - 2727634800168350712953/5583095000231167115*c_0101_4^3 - 748863543033701495704/5583095000231167115*c_0101_4^2 + 59192028350517440022/5583095000231167115*c_0101_4 + 19713834027824258103/5583095000231167115, c_0101_4^19 + 11*c_0101_4^18 + 26*c_0101_4^17 - 20*c_0101_4^16 - 17*c_0101_4^15 - 20*c_0101_4^14 - 5*c_0101_4^13 + 21*c_0101_4^12 + 231*c_0101_4^11 - 273*c_0101_4^10 + 209*c_0101_4^9 - 192*c_0101_4^8 - 363*c_0101_4^7 + 443*c_0101_4^6 + 147*c_0101_4^5 - 169*c_0101_4^4 - 50*c_0101_4^3 + 19*c_0101_4^2 + 9*c_0101_4 + 1, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB