Magma V2.19-8 Tue Aug 20 2013 23:45:17 on localhost [Seed = 3785851954] Type ? for help. Type -D to quit. Loading file "K13n2561__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2561 geometric_solution 11.19536199 oriented_manifold CS_known -0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 1 -1 0 0 -9 9 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.865259026099 1.295598166689 0 3 5 4 0132 3120 0132 1230 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 9 0 -9 0 0 1 -1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.568111136059 0.653509082083 6 0 5 7 0132 0132 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 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.473061722148 0.774108644257 8 1 6 0 0132 3120 2031 0132 0 0 0 0 0 0 0 0 0 0 1 -1 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 1 0 -1 0 0 -9 9 0 0 0 0 -1 -9 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.076766983582 0.647989296180 1 8 0 9 3012 0213 0132 0132 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 -1 1 0 9 0 -9 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240938454912 0.527303130573 8 2 10 1 1230 1230 0132 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 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 0.518160323916 1.079671016961 2 7 11 3 0132 2103 0132 1302 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 -9 0 9 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.638593023877 0.384743513823 10 6 2 9 0213 2103 0132 0213 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 9 0 -9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.218891434823 1.232963364464 3 5 4 11 0132 3012 0213 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812150385602 0.670127384368 11 10 4 7 2310 2103 0132 0213 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 0 0 0 -9 0 0 9 -9 9 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706667474948 1.382720079990 7 9 11 5 0213 2103 3012 0132 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 -9 9 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 0.776655478275 0.761393712081 8 10 9 6 3012 1230 3201 0132 0 0 0 0 0 0 0 0 0 0 -1 1 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 1 0 9 -10 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885937478865 1.111562370768 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_9']), 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : d['c_0011_7'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_5']), 'c_1010_11' : d['c_0011_7'], 'c_1010_10' : d['c_1001_5'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_7'], '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 'c_1100_5' : d['c_0101_9'], 'c_1100_4' : negation(d['c_1010_6']), 'c_1100_7' : negation(d['c_1001_5']), 'c_1100_6' : d['c_0011_11'], 'c_1100_1' : d['c_0101_9'], 'c_1100_0' : negation(d['c_1010_6']), 'c_1100_3' : negation(d['c_1010_6']), 'c_1100_2' : negation(d['c_1001_5']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0011_11'], 'c_1100_10' : d['c_0101_9'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1010_6']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : negation(d['c_1001_5']), 'c_1010_8' : d['c_0101_11'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0011_4'], 'c_1100_9' : negation(d['c_1010_6']), 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_11, c_0101_2, c_0101_9, c_1001_5, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t - 1/20*c_1010_6 + 1/20, c_0011_0 - 1, c_0011_10 + c_1010_6 - 2, c_0011_11 - c_1010_6 + 2, c_0011_3 + c_1010_6 - 1, c_0011_4 - c_1010_6 + 2, c_0011_5 + c_1010_6 - 2, c_0011_7 + c_1010_6 - 3, c_0101_11 + 1, c_0101_2 + c_1010_6 - 4, c_0101_9 - 1, c_1001_5 + c_1010_6 - 3, c_1010_6^2 - 4*c_1010_6 + 5 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_11, c_0101_2, c_0101_9, c_1001_5, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 212875124685921419592356/41810472681536198799885*c_1010_6^14 - 44587028968917605886952/8362094536307239759977*c_1010_6^13 - 319879136467482371519024/41810472681536198799885*c_1010_6^12 + 210207333966081392330614/13936824227178732933295*c_1010_6^11 - 130084947992466050460473/13936824227178732933295*c_1010_6^10 + 1613328805965638016110439/13936824227178732933295*c_1010_6^9 - 5500112646349128117934484/41810472681536198799885*c_1010_6^8 - 15906372907918351114068206/41810472681536198799885*c_1010_6^7 + 4983223071993699869351969/41810472681536198799885*c_1010_6^6 + 10515263455095158608320268/41810472681536198799885*c_1010_6^5 + 1523084958361547194555934/13936824227178732933295*c_1010_6^4 + 388111023599239803549399/2787364845435746586659*c_1010_6^3 - 853899852555923749129141/41810472681536198799885*c_1010_6^2 - 5474392825067193109715119/41810472681536198799885*c_1010_6 - 2598261033750658857183458/41810472681536198799885, c_0011_0 - 1, c_0011_10 - 1972280364073108/11356465026241313*c_1010_6^14 - 6064000000033290/11356465026241313*c_1010_6^13 - 7300331935180256/11356465026241313*c_1010_6^12 - 3945682155611223/11356465026241313*c_1010_6^11 + 3695322116503304/11356465026241313*c_1010_6^10 + 29151230237390851/11356465026241313*c_1010_6^9 + 46030537867643157/11356465026241313*c_1010_6^8 - 259848210595846729/11356465026241313*c_1010_6^7 - 170911093100109534/11356465026241313*c_1010_6^6 + 88188048998326703/11356465026241313*c_1010_6^5 + 26292554762818530/11356465026241313*c_1010_6^4 + 128238357262829370/11356465026241313*c_1010_6^3 + 127836786594167687/11356465026241313*c_1010_6^2 - 3451398839562692/11356465026241313*c_1010_6 - 13754515014395044/11356465026241313, c_0011_11 + 2563921150427212/11356465026241313*c_1010_6^14 + 5229614878522458/11356465026241313*c_1010_6^13 + 8314825770019448/11356465026241313*c_1010_6^12 + 494280884866613/11356465026241313*c_1010_6^11 + 4325954332932844/11356465026241313*c_1010_6^10 - 51311270442803498/11356465026241313*c_1010_6^9 + 11532069138773563/11356465026241313*c_1010_6^8 + 221886448453548281/11356465026241313*c_1010_6^7 + 126404149903965170/11356465026241313*c_1010_6^6 - 30424878349456007/11356465026241313*c_1010_6^5 - 35711066824627245/11356465026241313*c_1010_6^4 - 106907673602984656/11356465026241313*c_1010_6^3 - 108220513227267310/11356465026241313*c_1010_6^2 - 13515854299036072/11356465026241313*c_1010_6 + 3012919350268076/11356465026241313, c_0011_3 + 1708262553395666/11356465026241313*c_1010_6^14 + 727368510344614/11356465026241313*c_1010_6^13 + 994341192177793/11356465026241313*c_1010_6^12 - 7551166323604972/11356465026241313*c_1010_6^11 + 4333656266067157/11356465026241313*c_1010_6^10 - 41175646863010567/11356465026241313*c_1010_6^9 + 66398775639755070/11356465026241313*c_1010_6^8 + 110931660356443978/11356465026241313*c_1010_6^7 - 124289776410187217/11356465026241313*c_1010_6^6 - 85356935530113609/11356465026241313*c_1010_6^5 - 21585651753690064/11356465026241313*c_1010_6^4 - 42403812901704524/11356465026241313*c_1010_6^3 + 51199372466216512/11356465026241313*c_1010_6^2 + 65032798973859734/11356465026241313*c_1010_6 + 18281604880782536/11356465026241313, c_0011_4 + 1708262553395666/11356465026241313*c_1010_6^14 + 727368510344614/11356465026241313*c_1010_6^13 + 994341192177793/11356465026241313*c_1010_6^12 - 7551166323604972/11356465026241313*c_1010_6^11 + 4333656266067157/11356465026241313*c_1010_6^10 - 41175646863010567/11356465026241313*c_1010_6^9 + 66398775639755070/11356465026241313*c_1010_6^8 + 110931660356443978/11356465026241313*c_1010_6^7 - 124289776410187217/11356465026241313*c_1010_6^6 - 85356935530113609/11356465026241313*c_1010_6^5 - 21585651753690064/11356465026241313*c_1010_6^4 - 42403812901704524/11356465026241313*c_1010_6^3 + 51199372466216512/11356465026241313*c_1010_6^2 + 65032798973859734/11356465026241313*c_1010_6 + 18281604880782536/11356465026241313, c_0011_5 + 1486978607924556/11356465026241313*c_1010_6^14 + 3679790144194762/11356465026241313*c_1010_6^13 + 5715647534911496/11356465026241313*c_1010_6^12 + 2868028288524317/11356465026241313*c_1010_6^11 + 2094807478138794/11356465026241313*c_1010_6^10 - 26049019178945426/11356465026241313*c_1010_6^9 - 10650656988471980/11356465026241313*c_1010_6^8 + 147044003388013854/11356465026241313*c_1010_6^7 + 92784814776167287/11356465026241313*c_1010_6^6 + 30213371692118414/11356465026241313*c_1010_6^5 + 5526674535504572/11356465026241313*c_1010_6^4 - 102520295853927648/11356465026241313*c_1010_6^3 - 69217171365670864/11356465026241313*c_1010_6^2 - 32893303059869754/11356465026241313*c_1010_6 - 13118977616564456/11356465026241313, c_0011_7 + 3901074089665872/11356465026241313*c_1010_6^14 + 4212548133369276/11356465026241313*c_1010_6^13 + 8323305304475778/11356465026241313*c_1010_6^12 - 8430316061315290/11356465026241313*c_1010_6^11 + 12485145069386519/11356465026241313*c_1010_6^10 - 91974726265445559/11356465026241313*c_1010_6^9 + 105636829953238614/11356465026241313*c_1010_6^8 + 241634429634687443/11356465026241313*c_1010_6^7 - 27905856665426061/11356465026241313*c_1010_6^6 - 46373242316306527/11356465026241313*c_1010_6^5 - 80240078673843310/11356465026241313*c_1010_6^4 - 120542855914922724/11356465026241313*c_1010_6^3 - 18868395791767142/11356465026241313*c_1010_6^2 + 34070078062200606/11356465026241313*c_1010_6 + 17538115576820258/11356465026241313, c_0101_11 + 3901074089665872/11356465026241313*c_1010_6^14 + 4212548133369276/11356465026241313*c_1010_6^13 + 8323305304475778/11356465026241313*c_1010_6^12 - 8430316061315290/11356465026241313*c_1010_6^11 + 12485145069386519/11356465026241313*c_1010_6^10 - 91974726265445559/11356465026241313*c_1010_6^9 + 105636829953238614/11356465026241313*c_1010_6^8 + 241634429634687443/11356465026241313*c_1010_6^7 - 27905856665426061/11356465026241313*c_1010_6^6 - 46373242316306527/11356465026241313*c_1010_6^5 - 80240078673843310/11356465026241313*c_1010_6^4 - 120542855914922724/11356465026241313*c_1010_6^3 - 18868395791767142/11356465026241313*c_1010_6^2 + 34070078062200606/11356465026241313*c_1010_6 + 17538115576820258/11356465026241313, c_0101_2 + 5640136304031588/11356465026241313*c_1010_6^14 + 9638133078398632/11356465026241313*c_1010_6^13 + 15772006099880538/11356465026241313*c_1010_6^12 - 2977370091389912/11356465026241313*c_1010_6^11 + 11815935882112828/11356465026241313*c_1010_6^10 - 117373726945235293/11356465026241313*c_1010_6^9 + 64649114629328245/11356465026241313*c_1010_6^8 + 454332331510281580/11356465026241313*c_1010_6^7 + 132529317207337396/11356465026241313*c_1010_6^6 - 42336615030118256/11356465026241313*c_1010_6^5 - 71416798028237391/11356465026241313*c_1010_6^4 - 244641813364896403/11356465026241313*c_1010_6^3 - 124596549122465716/11356465026241313*c_1010_6^2 - 26250845765406829/11356465026241313*c_1010_6 + 1028519639115071/11356465026241313, c_0101_9 - 434127676937752/11356465026241313*c_1010_6^14 - 2934880289431418/11356465026241313*c_1010_6^13 - 5089975831279072/11356465026241313*c_1010_6^12 - 6622216403276009/11356465026241313*c_1010_6^11 - 624519243152777/11356465026241313*c_1010_6^10 + 3347616932061466/11356465026241313*c_1010_6^9 + 41660287510287558/11356465026241313*c_1010_6^8 - 59390385144761665/11356465026241313*c_1010_6^7 - 176048979307425629/11356465026241313*c_1010_6^6 - 74698046721576186/11356465026241313*c_1010_6^5 - 6819880646727649/11356465026241313*c_1010_6^4 + 42388861643571573/11356465026241313*c_1010_6^3 + 113128512749257584/11356465026241313*c_1010_6^2 + 71099525638796096/11356465026241313*c_1010_6 + 21216131328786851/11356465026241313, c_1001_5 + 1764882564794610/11356465026241313*c_1010_6^14 + 4105550987928270/11356465026241313*c_1010_6^13 + 7764667584462829/11356465026241313*c_1010_6^12 + 3744015659069946/11356465026241313*c_1010_6^11 + 5264971464876203/11356465026241313*c_1010_6^10 - 35153679212504876/11356465026241313*c_1010_6^9 - 1708502447467199/11356465026241313*c_1010_6^8 + 136156145463990204/11356465026241313*c_1010_6^7 + 136912187459610916/11356465026241313*c_1010_6^6 + 105912683264233617/11356465026241313*c_1010_6^5 - 37418479494078565/11356465026241313*c_1010_6^4 - 100829269268532355/11356465026241313*c_1010_6^3 - 96708493146735769/11356465026241313*c_1010_6^2 - 90192642512319665/11356465026241313*c_1010_6 - 15749137455231881/11356465026241313, c_1010_6^15 + c_1010_6^14 + 3/2*c_1010_6^13 - 3*c_1010_6^12 + 2*c_1010_6^11 - 23*c_1010_6^10 + 27*c_1010_6^9 + 145/2*c_1010_6^8 - 51/2*c_1010_6^7 - 89/2*c_1010_6^6 - 45/2*c_1010_6^5 - 59/2*c_1010_6^4 + 6*c_1010_6^3 + 25*c_1010_6^2 + 12*c_1010_6 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.120 Total time: 1.330 seconds, Total memory usage: 32.09MB