Magma V2.19-8 Tue Aug 20 2013 16:18:06 on localhost [Seed = 779072234] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2323 geometric_solution 5.71526909 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 0132 0 0 0 0 0 -1 0 1 0 0 -1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440535729500 0.669015763007 3 4 2 0 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 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 0.517897066462 0.544890451467 4 3 0 1 2310 3201 0132 1302 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 -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 0.517897066462 0.544890451467 1 5 2 5 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 0 0 0 -1 0 0 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.993875101641 1.231490239160 6 1 2 6 0132 0132 3201 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.959200759863 0.642234926613 5 3 5 3 2310 0132 3201 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 0 1 -1 0 0 0 0 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576161083785 0.297622514290 4 6 6 4 0132 1230 3012 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.647165832034 0.372366637265 ==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' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : negation(d['c_0101_5']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0011_1']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], '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' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : negation(d['c_0101_5']), 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : negation(d['c_0101_1']), '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_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 3 Groebner basis: [ t + c_0101_6^2 - 4*c_0101_6 + 4, c_0011_0 - 1, c_0011_1 + c_0101_6^2 - c_0101_6 - 1, c_0101_0 + c_0101_6^2 - c_0101_6 - 1, c_0101_1 + c_0101_6, c_0101_4 - 1, c_0101_5 - 1, c_0101_6^3 - 2*c_0101_6^2 - c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1417/7*c_0101_6^5 - 10385/7*c_0101_6^4 - 4238/7*c_0101_6^3 + 1769*c_0101_6^2 + 1356/7*c_0101_6 - 2578/7, c_0011_0 - 1, c_0011_1 - c_0101_6^4 - 8*c_0101_6^3 - 8*c_0101_6^2 + 5*c_0101_6 + 4, c_0101_0 - c_0101_6^5 - 7*c_0101_6^4 + 14*c_0101_6^2 - 5, c_0101_1 + 3*c_0101_6^5 + 21*c_0101_6^4 + c_0101_6^3 - 35*c_0101_6^2 + 10, c_0101_4 - 4*c_0101_6^5 - 31*c_0101_6^4 - 25*c_0101_6^3 + 24*c_0101_6^2 + 11*c_0101_6 - 3, c_0101_5 + 4*c_0101_6^5 + 31*c_0101_6^4 + 25*c_0101_6^3 - 24*c_0101_6^2 - 11*c_0101_6 + 4, c_0101_6^6 + 8*c_0101_6^5 + 8*c_0101_6^4 - 6*c_0101_6^3 - 6*c_0101_6^2 + c_0101_6 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 216091452042033/1905959539*c_0101_6^17 - 9576923665343647/24777474007*c_0101_6^16 + 63504525229878034/24777474007*c_0101_6^15 + 13452245115451822/1905959539*c_0101_6^14 - 91427306513853721/24777474007*c_0101_6^13 + 128151531558389246/24777474007*c_0101_6^12 - 1456167767653555942/24777474007*c_0101_6^11 + 1227273596464728313/24777474007*c_0101_6^10 + 98358757041371625/2252497637*c_0101_6^9 - 4217822059049670846/24777474007*c_0101_6^8 + 8473243776679972610/24777474007*c_0101_6^7 - 11602076208822265293/24777474007*c_0101_6^6 + 10499595473342135741/24777474007*c_0101_6^5 - 6317836202266775331/24777474007*c_0101_6^4 + 2530253243303903388/24777474007*c_0101_6^3 - 654714397686667645/24777474007*c_0101_6^2 + 99882913403333969/24777474007*c_0101_6 - 6864146795279347/24777474007, c_0011_0 - 1, c_0011_1 + 231220843299/10192297*c_0101_6^17 + 10394195809312/132499861*c_0101_6^16 - 67377841722566/132499861*c_0101_6^15 - 14627432285961/10192297*c_0101_6^14 + 87195608552532/132499861*c_0101_6^13 - 137622085070441/132499861*c_0101_6^12 + 1551120996680642/132499861*c_0101_6^11 - 1240586732029246/132499861*c_0101_6^10 - 1185923391802729/132499861*c_0101_6^9 + 4443050328467776/132499861*c_0101_6^8 - 8880940213656562/132499861*c_0101_6^7 + 12063014202043703/132499861*c_0101_6^6 - 10801394442840099/132499861*c_0101_6^5 + 6424143607900281/132499861*c_0101_6^4 - 2541361104958933/132499861*c_0101_6^3 + 648993771109466/132499861*c_0101_6^2 - 97581907620215/132499861*c_0101_6 + 6596095335716/132499861, c_0101_0 - 780967160161/132499861*c_0101_6^17 - 205429621657/10192297*c_0101_6^16 + 17624740248395/132499861*c_0101_6^15 + 48794152657577/132499861*c_0101_6^14 - 24866839673939/132499861*c_0101_6^13 + 35498813825472/132499861*c_0101_6^12 - 404466878464541/132499861*c_0101_6^11 + 337052731931385/132499861*c_0101_6^10 + 23334302710029/10192297*c_0101_6^9 - 1168883718924375/132499861*c_0101_6^8 + 2344242079418206/132499861*c_0101_6^7 - 3203510763052813/132499861*c_0101_6^6 + 2890454415888262/132499861*c_0101_6^5 - 1732581936271539/132499861*c_0101_6^4 + 690613987913536/132499861*c_0101_6^3 - 177660318444179/132499861*c_0101_6^2 + 26903422196127/132499861*c_0101_6 - 1830755499322/132499861, c_0101_1 - 201143811770/132499861*c_0101_6^17 - 753481068043/132499861*c_0101_6^16 + 4286160308649/132499861*c_0101_6^15 + 13938436404171/132499861*c_0101_6^14 - 1701734526275/132499861*c_0101_6^13 + 9104750282760/132499861*c_0101_6^12 - 101229115412931/132499861*c_0101_6^11 + 4160054860709/10192297*c_0101_6^10 + 92125536049457/132499861*c_0101_6^9 - 269308387092256/132499861*c_0101_6^8 + 39956165217171/10192297*c_0101_6^7 - 665032452118358/132499861*c_0101_6^6 + 545426362831495/132499861*c_0101_6^5 - 290784225430044/132499861*c_0101_6^4 + 100699188274599/132499861*c_0101_6^3 - 21736462377681/132499861*c_0101_6^2 + 199745517067/10192297*c_0101_6 - 123001947097/132499861, c_0101_4 + 3590224372829/132499861*c_0101_6^17 + 12399961160723/132499861*c_0101_6^16 - 80534250525306/132499861*c_0101_6^15 - 226814274798021/132499861*c_0101_6^14 + 105221301201503/132499861*c_0101_6^13 - 164351931184271/132499861*c_0101_6^12 + 1853360113528409/132499861*c_0101_6^11 - 1489158144169796/132499861*c_0101_6^10 - 1413458979384013/132499861*c_0101_6^9 + 5313948441682339/132499861*c_0101_6^8 - 10626431621860458/132499861*c_0101_6^7 + 1111084389262775/10192297*c_0101_6^6 - 12945792932718362/132499861*c_0101_6^5 + 7707702318266100/132499861*c_0101_6^4 - 3052580988815338/132499861*c_0101_6^3 + 780494516032633/132499861*c_0101_6^2 - 117512810249115/132499861*c_0101_6 + 7955617751241/132499861, c_0101_5 - 804477003606/132499861*c_0101_6^17 - 218991209842/10192297*c_0101_6^16 + 17785821768361/132499861*c_0101_6^15 + 52267940002734/132499861*c_0101_6^14 - 18753060187857/132499861*c_0101_6^13 + 36476189073875/132499861*c_0101_6^12 - 412362659513881/132499861*c_0101_6^11 + 299356655708228/132499861*c_0101_6^10 + 25624605240868/10192297*c_0101_6^9 - 1157665459603893/132499861*c_0101_6^8 + 2291398274058169/132499861*c_0101_6^7 - 3065710309813199/132499861*c_0101_6^6 + 2685946232643272/132499861*c_0101_6^5 - 1556842820572118/132499861*c_0101_6^4 + 598183376523251/132499861*c_0101_6^3 - 147746652656895/132499861*c_0101_6^2 + 21350870547576/132499861*c_0101_6 - 1373934098028/132499861, c_0101_6^18 + 3*c_0101_6^17 - 24*c_0101_6^16 - 53*c_0101_6^15 + 58*c_0101_6^14 - 59*c_0101_6^13 + 537*c_0101_6^12 - 649*c_0101_6^11 - 206*c_0101_6^10 + 1659*c_0101_6^9 - 3631*c_0101_6^8 + 5365*c_0101_6^7 - 5429*c_0101_6^6 + 3780*c_0101_6^5 - 1822*c_0101_6^4 + 602*c_0101_6^3 - 131*c_0101_6^2 + 17*c_0101_6 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB