Magma V2.19-8 Tue Aug 20 2013 23:46:56 on localhost [Seed = 3398213883] Type ? for help. Type -D to quit. Loading file "K14n5047__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n5047 geometric_solution 10.88659022 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -1 -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 6 -1 -5 -6 0 6 0 0 -5 0 5 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.219229897795 0.516516860014 0 2 6 5 0132 2310 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 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.467322788877 0.413615171646 7 0 6 1 0132 0132 1023 3201 0 0 0 0 0 -1 1 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 -6 6 0 0 0 0 0 -1 1 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478465072832 1.091985780911 5 6 8 0 0132 2103 0132 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 -1 1 0 0 6 -6 1 0 0 -1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.965448917662 0.663514979498 4 4 0 6 1230 3012 0132 2310 0 0 0 0 0 -1 1 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 -5 5 0 0 0 0 0 0 0 0 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.088850888223 0.622037418899 3 9 1 7 0132 0132 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.959213091959 1.091532120249 4 3 2 1 3201 2103 1023 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 0 0 -6 6 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748608744826 0.511071838164 2 5 10 9 0132 2310 0132 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 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 0.812539055029 0.642335758513 9 11 11 3 2310 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 1 -1 -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 -1 0 1 0 0 6 -6 -5 0 0 5 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554389500410 0.674754956869 7 5 8 10 3012 0132 3201 2310 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 5 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.807961362864 1.553751011723 9 11 11 7 3201 3012 2031 0132 0 0 0 0 0 -1 1 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 -6 6 0 -1 0 1 0 0 -1 0 1 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554389500410 0.674754956869 10 8 8 10 1230 0132 0321 1302 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 1 0 -6 5 0 6 0 -6 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.554389500410 0.674754956869 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_6'], 'c_1001_10' : negation(d['c_0011_10']), 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : negation(d['c_0101_11']), 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : negation(d['c_1001_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_10'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : 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_0101_10'], '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_10'], 'c_1100_8' : d['c_0011_6'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_6'], 'c_1100_3' : d['c_0011_6'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_3']), 'c_1010_6' : negation(d['c_1001_0']), 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_0011_6'], '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' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0110_11' : d['c_0011_10'], 'c_0110_10' : d['c_0101_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_4'], 'c_0110_7' : d['c_0011_3'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 128227943483584292/22517444865080025*c_0101_7^17 - 430633213130021779/22517444865080025*c_0101_7^16 - 72132239384408442/2501938318342225*c_0101_7^15 + 748771011368614393/22517444865080025*c_0101_7^14 + 3952891923503157071/22517444865080025*c_0101_7^13 - 112168391527858646/900697794603201*c_0101_7^12 - 1092460937988798502/3216777837868575*c_0101_7^11 + 19587488870580012/500387663668445*c_0101_7^10 + 7347232316079737098/7505814955026675*c_0101_7^9 + 10192173424837429114/22517444865080025*c_0101_7^8 - 39128804422537158496/22517444865080025*c_0101_7^7 - 1776650603989636588/1501162991005335*c_0101_7^6 + 25318080838604892473/22517444865080025*c_0101_7^5 + 1032294046588423396/643355567573715*c_0101_7^4 - 213907777137508814/4503488973016005*c_0101_7^3 - 23824655410344204091/22517444865080025*c_0101_7^2 - 100847597016072152/900697794603201*c_0101_7 + 5942809582264258252/22517444865080025, c_0011_0 - 1, c_0011_10 + 409053856/288899921*c_0101_7^17 + 379912921/288899921*c_0101_7^16 - 999943810/288899921*c_0101_7^15 - 2553527035/288899921*c_0101_7^14 + 2417225791/288899921*c_0101_7^13 + 5181860143/288899921*c_0101_7^12 - 3379683047/288899921*c_0101_7^11 - 17343467907/288899921*c_0101_7^10 - 5778751813/288899921*c_0101_7^9 + 29678613518/288899921*c_0101_7^8 + 21558982200/288899921*c_0101_7^7 - 13505647825/288899921*c_0101_7^6 - 22947987022/288899921*c_0101_7^5 - 3810637727/288899921*c_0101_7^4 + 9399340730/288899921*c_0101_7^3 - 676161656/288899921*c_0101_7^2 - 1561339930/288899921*c_0101_7 + 1933070567/288899921, c_0011_3 - 24091510709/20511894391*c_0101_7^17 - 8201833361/20511894391*c_0101_7^16 + 59576837536/20511894391*c_0101_7^15 + 117291108572/20511894391*c_0101_7^14 - 199984747997/20511894391*c_0101_7^13 - 174040542486/20511894391*c_0101_7^12 + 250958839714/20511894391*c_0101_7^11 + 869266486610/20511894391*c_0101_7^10 - 110712016059/20511894391*c_0101_7^9 - 1556279618225/20511894391*c_0101_7^8 - 490432941941/20511894391*c_0101_7^7 + 825975556217/20511894391*c_0101_7^6 + 945074661002/20511894391*c_0101_7^5 - 119208084408/20511894391*c_0101_7^4 - 377034117958/20511894391*c_0101_7^3 + 132981888026/20511894391*c_0101_7^2 - 32889937933/20511894391*c_0101_7 - 64876121194/20511894391, c_0011_4 - 14788075601/20511894391*c_0101_7^17 - 24091510709/20511894391*c_0101_7^16 + 36162393442/20511894391*c_0101_7^15 + 118729139940/20511894391*c_0101_7^14 - 45377723039/20511894391*c_0101_7^13 - 288713201603/20511894391*c_0101_7^12 + 77356742731/20511894391*c_0101_7^11 + 753753410148/20511894391*c_0101_7^10 + 543928823388/20511894391*c_0101_7^9 - 1234605761735/20511894391*c_0101_7^8 - 1423186937816/20511894391*c_0101_7^7 + 485580047725/20511894391*c_0101_7^6 + 1210465521843/20511894391*c_0101_7^5 + 457068166169/20511894391*c_0101_7^4 - 488909974433/20511894391*c_0101_7^3 - 110848757140/20511894391*c_0101_7^2 + 147769963627/20511894391*c_0101_7 - 121618391539/20511894391, c_0011_6 - c_0101_7, c_0101_0 - 451459066/1206582023*c_0101_7^17 - 1469914230/1206582023*c_0101_7^16 + 1287457506/1206582023*c_0101_7^15 + 5348842990/1206582023*c_0101_7^14 + 1232862242/1206582023*c_0101_7^13 - 16514537578/1206582023*c_0101_7^12 + 1454997013/1206582023*c_0101_7^11 + 31132014008/1206582023*c_0101_7^10 + 38880594252/1206582023*c_0101_7^9 - 54637168752/1206582023*c_0101_7^8 - 81627275116/1206582023*c_0101_7^7 + 20731199594/1206582023*c_0101_7^6 + 60671003736/1206582023*c_0101_7^5 + 30317613626/1206582023*c_0101_7^4 - 28317288372/1206582023*c_0101_7^3 - 7957313005/1206582023*c_0101_7^2 + 11096134438/1206582023*c_0101_7 - 5873244769/1206582023, c_0101_1 + 2359942264/1206582023*c_0101_7^17 + 451459066/1206582023*c_0101_7^16 - 5609912562/1206582023*c_0101_7^15 - 10727226562/1206582023*c_0101_7^14 + 20610521914/1206582023*c_0101_7^13 + 12926791342/1206582023*c_0101_7^12 - 23604480910/1206582023*c_0101_7^11 - 81693033989/1206582023*c_0101_7^10 + 20786715800/1206582023*c_0101_7^9 + 140475017812/1206582023*c_0101_7^8 + 33397688376/1206582023*c_0101_7^7 - 74128914308/1206582023*c_0101_7^6 - 82089698458/1206582023*c_0101_7^5 + 17207090976/1206582023*c_0101_7^4 + 28680942974/1206582023*c_0101_7^3 - 14161672380/1206582023*c_0101_7^2 + 5597370741/1206582023*c_0101_7 + 3063519146/1206582023, c_0101_10 - 29324801594/20511894391*c_0101_7^17 - 19296828550/20511894391*c_0101_7^16 + 71184044142/20511894391*c_0101_7^15 + 163879523580/20511894391*c_0101_7^14 - 204433684141/20511894391*c_0101_7^13 - 293771820050/20511894391*c_0101_7^12 + 265569490091/20511894391*c_0101_7^11 + 1153344985646/20511894391*c_0101_7^10 + 164988204848/20511894391*c_0101_7^9 - 1986626247438/20511894391*c_0101_7^8 - 1105896712618/20511894391*c_0101_7^7 + 960287424318/20511894391*c_0101_7^6 + 1394630000400/20511894391*c_0101_7^5 + 116929451779/20511894391*c_0101_7^4 - 557398966904/20511894391*c_0101_7^3 + 87044008211/20511894391*c_0101_7^2 + 42074634408/20511894391*c_0101_7 - 105420777565/20511894391, c_0101_11 + 31766314831/20511894391*c_0101_7^17 + 33190375271/20511894391*c_0101_7^16 - 81463615138/20511894391*c_0101_7^15 - 208221439402/20511894391*c_0101_7^14 + 179026089883/20511894391*c_0101_7^13 + 454787681312/20511894391*c_0101_7^12 - 275693788935/20511894391*c_0101_7^11 - 1398510724746/20511894391*c_0101_7^10 - 550258086225/20511894391*c_0101_7^9 + 2485111487009/20511894391*c_0101_7^8 + 1878096618913/20511894391*c_0101_7^7 - 1178405949315/20511894391*c_0101_7^6 - 1976481724514/20511894391*c_0101_7^5 - 396191347234/20511894391*c_0101_7^4 + 858428020282/20511894391*c_0101_7^3 - 18219461332/20511894391*c_0101_7^2 - 155744347513/20511894391*c_0101_7 + 185233176658/20511894391, c_0101_3 + 33190375271/20511894391*c_0101_7^17 + 13835329355/20511894391*c_0101_7^16 - 81156180078/20511894391*c_0101_7^15 - 170403373258/20511894391*c_0101_7^14 + 264189792326/20511894391*c_0101_7^13 + 264333563192/20511894391*c_0101_7^12 - 318456020492/20511894391*c_0101_7^11 - 1249117012507/20511894391*c_0101_7^10 + 70871559853/20511894391*c_0101_7^9 + 2163993452392/20511894391*c_0101_7^8 + 918170829531/20511894391*c_0101_7^7 - 1150557538908/20511894391*c_0101_7^6 - 1444479736657/20511894391*c_0101_7^5 + 64270149507/20511894391*c_0101_7^4 + 574086100017/20511894391*c_0101_7^3 - 123978032682/20511894391*c_0101_7^2 - 25876606719/20511894391*c_0101_7 + 95298944493/20511894391, c_0101_7^18 - 3*c_0101_7^16 - 4*c_0101_7^15 + 11*c_0101_7^14 + 6*c_0101_7^13 - 17*c_0101_7^12 - 34*c_0101_7^11 + 22*c_0101_7^10 + 76*c_0101_7^9 - 9*c_0101_7^8 - 66*c_0101_7^7 - 26*c_0101_7^6 + 33*c_0101_7^5 + 25*c_0101_7^4 - 18*c_0101_7^3 - c_0101_7^2 + 6*c_0101_7 - 3, c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.600 Total time: 0.800 seconds, Total memory usage: 32.09MB