Magma V2.19-8 Wed Aug 21 2013 00:34:16 on localhost [Seed = 1781299991] Type ? for help. Type -D to quit. Loading file "K14n21290__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n21290 geometric_solution 11.89250540 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 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 -1 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 0.328736361646 1.282767520638 0 4 5 5 0132 0132 2103 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 -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 0.453204149561 0.726897622845 6 0 8 7 0132 0132 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 3 0 -3 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 0.168601611332 0.759028601118 4 6 9 0 0132 0132 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 -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 0.981133636756 1.490550443553 3 1 0 10 0132 0132 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 1 -1 0 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 0.527878915048 0.418382010105 1 8 1 9 2103 0132 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 -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 0.382365614404 0.990628543698 2 3 10 9 0132 0132 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 -3 0 3 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.557178057331 0.761152848775 11 8 2 11 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.145541775915 1.139937536297 10 5 7 2 1230 0132 2310 0132 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 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033175659640 0.588832480928 12 5 6 3 0132 1302 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 -1 0 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 -0.064349457630 0.946440093474 12 8 4 6 2103 3012 0132 0132 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 2 0 1 -3 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524674864054 0.466551022147 7 7 12 12 0132 2310 3012 2103 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.425700275897 0.833117358129 9 11 10 11 0132 1230 2103 2103 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 0 0 0 0 -2 2 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.796494314545 1.401581807552 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0011_5'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : negation(d['c_0101_8']), 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0110_5'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0101_8']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_12' : 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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_5']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0110_5']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0011_11']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0110_5'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : negation(d['c_0101_8']), 'c_1010_2' : negation(d['c_0101_8']), 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_1001_2'], 'c_1100_8' : negation(d['c_0011_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'], 'c_1100_12' : negation(d['c_0101_6']), '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_12']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0101_6'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_10'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_5, c_0101_0, c_0101_10, c_0101_11, c_0101_6, c_0101_8, c_0110_5, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t + 25859377665322216113742988/1898879242616038948419*c_1100_0^15 - 59700075825571662308168200/517876157077101531387*c_1100_0^14 + 2453802646593067673066733005/5696637727848116845257*c_1100_0^13 - 6165774155456761191822361621/5696637727848116845257*c_1100_0^12 + 12823002331568459081887485586/5696637727848116845257*c_1100_0^11 - 810719742196362447989413330/210986582512893216491*c_1100_0^10 + 30694468906316839399940583817/5696637727848116845257*c_1100_0^9 - 4416126947740603134253364413/632959747538679649473*c_1100_0^8 + 47346245770530090663578810977/5696637727848116845257*c_1100_0^7 - 47234103659024731943714829559/5696637727848116845257*c_1100_0^6 + 13862706999148387837320380186/1898879242616038948419*c_1100_0^5 - 33265385853662466686577896216/5696637727848116845257*c_1100_0^4 + 22460149174112097027040294048/5696637727848116845257*c_1100_0^3 - 451462775469280320039749926/210986582512893216491*c_1100_0^2 + 1406920086254292769359433273/1898879242616038948419*c_1100_0 - 944394682191023135986514476/5696637727848116845257, c_0011_0 - 1, c_0011_10 + 6109305475887732/44390191986722747*c_1100_0^15 - 5671060612573172/4035471998792977*c_1100_0^14 + 261151413806422265/44390191986722747*c_1100_0^13 - 663447526356227782/44390191986722747*c_1100_0^12 + 1364674033078044175/44390191986722747*c_1100_0^11 - 2381860726116469830/44390191986722747*c_1100_0^10 + 3257051325417633186/44390191986722747*c_1100_0^9 - 4047333123821057546/44390191986722747*c_1100_0^8 + 4956505288299584201/44390191986722747*c_1100_0^7 - 4735494559384973980/44390191986722747*c_1100_0^6 + 3791201765692024718/44390191986722747*c_1100_0^5 - 3106443062066936973/44390191986722747*c_1100_0^4 + 1866403782360219045/44390191986722747*c_1100_0^3 - 867899126884640572/44390191986722747*c_1100_0^2 + 127813476149450942/44390191986722747*c_1100_0 - 4864199513318843/44390191986722747, c_0011_11 + 13418820917834668/44390191986722747*c_1100_0^15 - 6960062671456452/4035471998792977*c_1100_0^14 + 173035040637486787/44390191986722747*c_1100_0^13 - 335172258889080748/44390191986722747*c_1100_0^12 + 630126508859713860/44390191986722747*c_1100_0^11 - 713470628435246339/44390191986722747*c_1100_0^10 + 854141818637044041/44390191986722747*c_1100_0^9 - 1310705817742032937/44390191986722747*c_1100_0^8 + 884873527617476737/44390191986722747*c_1100_0^7 - 641378659977837140/44390191986722747*c_1100_0^6 + 829041704482154722/44390191986722747*c_1100_0^5 - 145515207345693391/44390191986722747*c_1100_0^4 + 238084423001472194/44390191986722747*c_1100_0^3 + 114174323804648814/44390191986722747*c_1100_0^2 + 73509037759957176/44390191986722747*c_1100_0 + 12779411455638662/44390191986722747, c_0011_12 + 29058118765070924/44390191986722747*c_1100_0^15 - 16354721069241264/4035471998792977*c_1100_0^14 + 456740794020021667/44390191986722747*c_1100_0^13 - 914164951381840725/44390191986722747*c_1100_0^12 + 1712452151604186277/44390191986722747*c_1100_0^11 - 2156483365396117886/44390191986722747*c_1100_0^10 + 2484975952324663533/44390191986722747*c_1100_0^9 - 3470774758251935122/44390191986722747*c_1100_0^8 + 2895201036045288760/44390191986722747*c_1100_0^7 - 2008060921697696473/44390191986722747*c_1100_0^6 + 2065914231289150271/44390191986722747*c_1100_0^5 - 749192293374579840/44390191986722747*c_1100_0^4 + 465849184586342884/44390191986722747*c_1100_0^3 + 201618536388541168/44390191986722747*c_1100_0^2 + 843035149219599/44390191986722747*c_1100_0 - 2673350198948882/44390191986722747, c_0011_5 - 28407858023613240/44390191986722747*c_1100_0^15 + 16166964397807528/4035471998792977*c_1100_0^14 - 462652764677579666/44390191986722747*c_1100_0^13 + 951176497608401172/44390191986722747*c_1100_0^12 - 1811496822051870749/44390191986722747*c_1100_0^11 + 2383238341084460172/44390191986722747*c_1100_0^10 - 2870948648567403738/44390191986722747*c_1100_0^9 + 3959823876265473143/44390191986722747*c_1100_0^8 - 3514491832065253399/44390191986722747*c_1100_0^7 + 2715867060016350261/44390191986722747*c_1100_0^6 - 2681359464369348878/44390191986722747*c_1100_0^5 + 1272001773716844898/44390191986722747*c_1100_0^4 - 870886264401348119/44390191986722747*c_1100_0^3 + 35352621071750699/44390191986722747*c_1100_0^2 - 90922100956084319/44390191986722747*c_1100_0 - 6861630930410902/44390191986722747, c_0101_0 - 18675222789507516/44390191986722747*c_1100_0^15 + 12751675924950612/4035471998792977*c_1100_0^14 - 458204410482666883/44390191986722747*c_1100_0^13 + 1053159159556510276/44390191986722747*c_1100_0^12 - 2089347355504881955/44390191986722747*c_1100_0^11 + 3283214603953893880/44390191986722747*c_1100_0^10 - 4266165950470968730/44390191986722747*c_1100_0^9 + 5470100167775332946/44390191986722747*c_1100_0^8 - 6137411467992772251/44390191986722747*c_1100_0^7 + 5496069702355644415/44390191986722747*c_1100_0^6 - 4654113470132723472/44390191986722747*c_1100_0^5 + 3448309698584970598/44390191986722747*c_1100_0^4 - 2059116041013574991/44390191986722747*c_1100_0^3 + 888271668505123886/44390191986722747*c_1100_0^2 - 168233813924414486/44390191986722747*c_1100_0 + 23439142705870630/44390191986722747, c_0101_10 - 2391066332531596/44390191986722747*c_1100_0^15 + 1246038006537144/4035471998792977*c_1100_0^14 - 21498272562036863/44390191986722747*c_1100_0^13 - 1301873323202917/44390191986722747*c_1100_0^12 + 48993064691161398/44390191986722747*c_1100_0^11 - 196553602981577235/44390191986722747*c_1100_0^10 + 451788307047004570/44390191986722747*c_1100_0^9 - 549435990685869809/44390191986722747*c_1100_0^8 + 719456643165657484/44390191986722747*c_1100_0^7 - 1085873185502472231/44390191986722747*c_1100_0^6 + 928380109123870379/44390191986722747*c_1100_0^5 - 664891100568884054/44390191986722747*c_1100_0^4 + 650979436875661832/44390191986722747*c_1100_0^3 - 355551038474001125/44390191986722747*c_1100_0^2 + 127089308495802271/44390191986722747*c_1100_0 + 12227197777567453/44390191986722747, c_0101_11 + 26312669958645404/44390191986722747*c_1100_0^15 - 16626734740883420/4035471998792977*c_1100_0^14 + 544512167083659387/44390191986722747*c_1100_0^13 - 1187196718015278654/44390191986722747*c_1100_0^12 + 2300071605788695009/44390191986722747*c_1100_0^11 - 3382105215698882217/44390191986722747*c_1100_0^10 + 4203416565939962048/44390191986722747*c_1100_0^9 - 5473093501858189192/44390191986722747*c_1100_0^8 + 5754831848174061766/44390191986722747*c_1100_0^7 - 4793726088108822921/44390191986722747*c_1100_0^6 + 4171450414792016692/44390191986722747*c_1100_0^5 - 2863636344667165263/44390191986722747*c_1100_0^4 + 1625814358243286298/44390191986722747*c_1100_0^3 - 496435304498160443/44390191986722747*c_1100_0^2 + 126352451648441922/44390191986722747*c_1100_0 + 1353394656424891/44390191986722747, c_0101_6 - 27055426368887248/44390191986722747*c_1100_0^15 + 18343708394564116/4035471998792977*c_1100_0^14 - 649600884267116456/44390191986722747*c_1100_0^13 + 1468559682023663087/44390191986722747*c_1100_0^12 - 2891421121923867498/44390191986722747*c_1100_0^11 + 4498182927583607947/44390191986722747*c_1100_0^10 - 5754539239214224083/44390191986722747*c_1100_0^9 + 7397031756770387268/44390191986722747*c_1100_0^8 - 8288772852085220876/44390191986722747*c_1100_0^7 + 7204653542278810547/44390191986722747*c_1100_0^6 - 6075425655956797418/44390191986722747*c_1100_0^5 + 4576550550609415256/44390191986722747*c_1100_0^4 - 2589348001137077581/44390191986722747*c_1100_0^3 + 1012714951342052815/44390191986722747*c_1100_0^2 - 165532025633043092/44390191986722747*c_1100_0 + 29983481659010521/44390191986722747, c_0101_8 - c_1100_0, c_0110_5 - 38750277716276272/44390191986722747*c_1100_0^15 + 24139009119857176/4035471998792977*c_1100_0^14 - 775720055024499184/44390191986722747*c_1100_0^13 + 1671870757895168530/44390191986722747*c_1100_0^12 - 3221553170898624867/44390191986722747*c_1100_0^11 + 4656106481554801008/44390191986722747*c_1100_0^10 - 5705999270159844928/44390191986722747*c_1100_0^9 + 7431099046538620318/44390191986722747*c_1100_0^8 - 7603747153561971142/44390191986722747*c_1100_0^7 + 6092089707987580526/44390191986722747*c_1100_0^6 - 5251634406706300051/44390191986722747*c_1100_0^5 + 3390858152266928281/44390191986722747*c_1100_0^4 - 1793079972882959059/44390191986722747*c_1100_0^3 + 367783873392574599/44390191986722747*c_1100_0^2 - 51797316605128013/44390191986722747*c_1100_0 - 1369250822872586/44390191986722747, c_1001_2 - 12572921903716708/44390191986722747*c_1100_0^15 + 8242528473626520/4035471998792977*c_1100_0^14 - 280963601173356993/44390191986722747*c_1100_0^13 + 619842830583038813/44390191986722747*c_1100_0^12 - 1195915263844598335/44390191986722747*c_1100_0^11 + 1786806095262307700/44390191986722747*c_1100_0^10 - 2209043547528837475/44390191986722747*c_1100_0^9 + 2793971075142937695/44390191986722747*c_1100_0^8 - 2999428467323414246/44390191986722747*c_1100_0^7 + 2484432813316925071/44390191986722747*c_1100_0^6 - 1979976303290009132/44390191986722747*c_1100_0^5 + 1382936726645699343/44390191986722747*c_1100_0^4 - 787866326183799251/44390191986722747*c_1100_0^3 + 165049870764409397/44390191986722747*c_1100_0^2 + 33178247058419570/44390191986722747*c_1100_0 - 4071039114243980/44390191986722747, c_1100_0^16 - 7*c_1100_0^15 + 85/4*c_1100_0^14 - 95/2*c_1100_0^13 + 373/4*c_1100_0^12 - 561/4*c_1100_0^11 + 180*c_1100_0^10 - 234*c_1100_0^9 + 499/2*c_1100_0^8 - 220*c_1100_0^7 + 761/4*c_1100_0^6 - 131*c_1100_0^5 + 163/2*c_1100_0^4 - 28*c_1100_0^3 + 8*c_1100_0^2 + 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 18.680 Total time: 18.890 seconds, Total memory usage: 200.62MB