Magma V2.19-8 Tue Aug 20 2013 23:39:00 on localhost [Seed = 3153977308] Type ? for help. Type -D to quit. Loading file "K11n142__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n142 geometric_solution 11.18083695 oriented_manifold CS_known -0.0000000000000009 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 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 -1 1 -1 0 1 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 0.451116877214 0.668097350050 0 5 7 6 0132 0132 0132 0132 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 0 0 0 1 0 0 -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 0.406508586227 0.883231422165 8 0 9 5 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 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 0.786800400467 1.325024714547 9 6 8 0 0132 0132 0132 0132 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 -1 0 1 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 0.670164538975 0.675588837977 10 6 0 9 0132 1302 0132 0132 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 1 -1 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.939745916346 1.257862091965 11 1 2 8 0132 0132 0132 0132 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 0 0 0 0 0 0 0 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 0.394393214725 1.351767381307 10 3 1 4 2103 0132 0132 2031 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 1 0 -1 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 0.583560912787 1.195284575324 10 11 9 1 3120 0321 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.776657930427 0.631101314222 2 11 5 3 0132 0132 0132 0132 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 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 0.486609380185 0.344883541263 3 7 4 2 0132 1230 0132 0132 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 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 0.510955748654 0.387845774688 4 11 6 7 0132 1230 2103 3120 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 -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 0.132444035573 0.527187225274 5 8 10 7 0132 0132 3012 0321 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 -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 0.330964855896 0.928564601360 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0011_3']), 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_1001_9'], 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_7']), 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_1001_9']), 'c_1100_6' : negation(d['c_1001_9']), 'c_1100_1' : negation(d['c_1001_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : negation(d['c_0101_7']), 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_9'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0011_10']), 'c_1100_8' : d['c_1100_0'], 's_3_1' : negation(d['1']), 's_3_0' : negation(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_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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_0110_11' : negation(d['c_0011_7']), 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_7']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_7']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_7']), 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_7']})} 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_7, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0, c_1001_1, c_1001_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 9797930287806/560780065307*c_1100_0^9 + 130979448783096/12897941502061*c_1100_0^8 - 2134701604470599/12897941502061*c_1100_0^7 - 11561557520260/167505733793*c_1100_0^6 - 7639070216965948/12897941502061*c_1100_0^5 - 6143712618041762/12897941502061*c_1100_0^4 + 1269268603639448/12897941502061*c_1100_0^3 + 5367620667074902/12897941502061*c_1100_0^2 - 229226973220919/1172540136551*c_1100_0 - 638321106279344/12897941502061, c_0011_0 - 1, c_0011_10 - 1148342/1309631*c_1100_0^9 + 1841865/1309631*c_1100_0^8 - 11790394/1309631*c_1100_0^7 + 6721228/1309631*c_1100_0^6 - 36461615/1309631*c_1100_0^5 + 7592018/1309631*c_1100_0^4 + 30369937/1309631*c_1100_0^3 + 14332809/1309631*c_1100_0^2 - 40769140/1309631*c_1100_0 + 14420347/1309631, c_0011_3 - 3733946/1309631*c_1100_0^9 + 5509233/1309631*c_1100_0^8 - 37912254/1309631*c_1100_0^7 + 17218998/1309631*c_1100_0^6 - 119028722/1309631*c_1100_0^5 + 8769302/1309631*c_1100_0^4 + 92097986/1309631*c_1100_0^3 + 52437733/1309631*c_1100_0^2 - 118140847/1309631*c_1100_0 + 40053029/1309631, c_0011_7 - 1291651/1309631*c_1100_0^9 + 2266174/1309631*c_1100_0^8 - 13415937/1309631*c_1100_0^7 + 9434981/1309631*c_1100_0^6 - 40675704/1309631*c_1100_0^5 + 15041535/1309631*c_1100_0^4 + 38269099/1309631*c_1100_0^3 + 14037725/1309631*c_1100_0^2 - 49342352/1309631*c_1100_0 + 20186970/1309631, c_0101_0 - 56955/1309631*c_1100_0^9 - 116864/1309631*c_1100_0^8 - 375454/1309631*c_1100_0^7 - 1661890/1309631*c_1100_0^6 - 1836987/1309631*c_1100_0^5 - 6040587/1309631*c_1100_0^4 - 1149621/1309631*c_1100_0^3 + 4988942/1309631*c_1100_0^2 + 2860122/1309631*c_1100_0 - 4185880/1309631, c_0101_1 - 1148342/1309631*c_1100_0^9 + 1841865/1309631*c_1100_0^8 - 11790394/1309631*c_1100_0^7 + 6721228/1309631*c_1100_0^6 - 36461615/1309631*c_1100_0^5 + 7592018/1309631*c_1100_0^4 + 30369937/1309631*c_1100_0^3 + 14332809/1309631*c_1100_0^2 - 40769140/1309631*c_1100_0 + 15729978/1309631, c_0101_2 + 1501026/1309631*c_1100_0^9 - 1933255/1309631*c_1100_0^8 + 14985978/1309631*c_1100_0^7 - 4190897/1309631*c_1100_0^6 + 48114080/1309631*c_1100_0^5 + 5736620/1309631*c_1100_0^4 - 32342161/1309631*c_1100_0^3 - 24764455/1309631*c_1100_0^2 + 41418755/1309631*c_1100_0 - 11756162/1309631, c_0101_7 + 2232920/1309631*c_1100_0^9 - 3575978/1309631*c_1100_0^8 + 22926276/1309631*c_1100_0^7 - 13028101/1309631*c_1100_0^6 + 70914642/1309631*c_1100_0^5 - 14505922/1309631*c_1100_0^4 - 59755825/1309631*c_1100_0^3 - 27673278/1309631*c_1100_0^2 + 76722092/1309631*c_1100_0 - 28296867/1309631, c_1001_0 - 804619/1309631*c_1100_0^9 + 380240/1309631*c_1100_0^8 - 7406818/1309631*c_1100_0^7 - 4071043/1309631*c_1100_0^6 - 26073997/1309631*c_1100_0^5 - 23910896/1309631*c_1100_0^4 + 7975123/1309631*c_1100_0^3 + 25326047/1309631*c_1100_0^2 - 5616984/1309631*c_1100_0 - 7023242/1309631, c_1001_1 - 52950/1309631*c_1100_0^9 - 352844/1309631*c_1100_0^8 - 68984/1309631*c_1100_0^7 - 3960792/1309631*c_1100_0^6 - 1317717/1309631*c_1100_0^5 - 13587083/1309631*c_1100_0^4 - 2751607/1309631*c_1100_0^3 + 9446200/1309631*c_1100_0^2 + 8885699/1309631*c_1100_0 - 8488867/1309631, c_1001_9 - 804619/1309631*c_1100_0^9 + 380240/1309631*c_1100_0^8 - 7406818/1309631*c_1100_0^7 - 4071043/1309631*c_1100_0^6 - 26073997/1309631*c_1100_0^5 - 23910896/1309631*c_1100_0^4 + 7975123/1309631*c_1100_0^3 + 25326047/1309631*c_1100_0^2 - 6926615/1309631*c_1100_0 - 7023242/1309631, c_1100_0^10 - 2*c_1100_0^9 + 11*c_1100_0^8 - 10*c_1100_0^7 + 35*c_1100_0^6 - 19*c_1100_0^5 - 21*c_1100_0^4 + 38*c_1100_0^2 - 29*c_1100_0 + 7 ], 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_7, c_0101_0, c_0101_1, c_0101_2, c_0101_7, c_1001_0, c_1001_1, c_1001_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t - 2312528793284296740338/80833307110347275*c_1100_0^13 - 6375796835116678711602/80833307110347275*c_1100_0^12 - 28107112758821341895167/161666614220694550*c_1100_0^11 - 24317828832170056902877/80833307110347275*c_1100_0^10 - 7944948599580651932883/16166661422069455*c_1100_0^9 - 185401634473486252241/293939298583081*c_1100_0^8 - 40691571967300524388974/80833307110347275*c_1100_0^7 + 25827680957150733549547/161666614220694550*c_1100_0^6 + 8296031995602609592126/16166661422069455*c_1100_0^5 + 51147229303703574933712/80833307110347275*c_1100_0^4 - 19306593016723963104431/161666614220694550*c_1100_0^3 - 26119700203254220250131/80833307110347275*c_1100_0^2 - 33452578049564874087647/161666614220694550*c_1100_0 - 4446933038902159812931/161666614220694550, c_0011_0 - 1, c_0011_10 - 5788056294332/6835797641467*c_1100_0^13 - 14503626178652/6835797641467*c_1100_0^12 - 30474102969017/6835797641467*c_1100_0^11 - 51143219500498/6835797641467*c_1100_0^10 - 83242422307858/6835797641467*c_1100_0^9 - 101016810505713/6835797641467*c_1100_0^8 - 67099844611987/6835797641467*c_1100_0^7 + 57157728988434/6835797641467*c_1100_0^6 + 89454237729716/6835797641467*c_1100_0^5 + 89430316143669/6835797641467*c_1100_0^4 - 50724342342995/6835797641467*c_1100_0^3 - 47795411312827/6835797641467*c_1100_0^2 - 14870665131815/6835797641467*c_1100_0 + 810207050459/6835797641467, c_0011_3 - 17048115028108/6835797641467*c_1100_0^13 - 47659346169724/6835797641467*c_1100_0^12 - 104642573209213/6835797641467*c_1100_0^11 - 181714924700882/6835797641467*c_1100_0^10 - 296687023167800/6835797641467*c_1100_0^9 - 382432406807832/6835797641467*c_1100_0^8 - 306568989466184/6835797641467*c_1100_0^7 + 92488483763326/6835797641467*c_1100_0^6 + 312464572802124/6835797641467*c_1100_0^5 + 378903025669476/6835797641467*c_1100_0^4 - 59937730527545/6835797641467*c_1100_0^3 - 197328498127131/6835797641467*c_1100_0^2 - 118771717536812/6835797641467*c_1100_0 - 19485876988814/6835797641467, c_0011_7 + 25936850234408/6835797641467*c_1100_0^13 + 72702297795012/6835797641467*c_1100_0^12 + 160902568880602/6835797641467*c_1100_0^11 + 279912389318217/6835797641467*c_1100_0^10 + 458138304848408/6835797641467*c_1100_0^9 + 591811246365259/6835797641467*c_1100_0^8 + 481450875097576/6835797641467*c_1100_0^7 - 125234544427113/6835797641467*c_1100_0^6 - 473870012300368/6835797641467*c_1100_0^5 - 599944141392111/6835797641467*c_1100_0^4 + 78786208104420/6835797641467*c_1100_0^3 + 295303597702306/6835797641467*c_1100_0^2 + 206186024034852/6835797641467*c_1100_0 + 32528853180893/6835797641467, c_0101_0 - 25196317397716/6835797641467*c_1100_0^13 - 72622045627120/6835797641467*c_1100_0^12 - 160923059985899/6835797641467*c_1100_0^11 - 281111827120647/6835797641467*c_1100_0^10 - 460699452764961/6835797641467*c_1100_0^9 - 600790277789704/6835797641467*c_1100_0^8 - 498016692352180/6835797641467*c_1100_0^7 + 103013553332482/6835797641467*c_1100_0^6 + 478801124786956/6835797641467*c_1100_0^5 + 598760890958748/6835797641467*c_1100_0^4 - 61734440585207/6835797641467*c_1100_0^3 - 308794632227443/6835797641467*c_1100_0^2 - 210511011580684/6835797641467*c_1100_0 - 33378916236008/6835797641467, c_0101_1 - 37961459048444/6835797641467*c_1100_0^13 - 105681387495528/6835797641467*c_1100_0^12 - 234045829575553/6835797641467*c_1100_0^11 - 406743539835059/6835797641467*c_1100_0^10 - 664919324856605/6835797641467*c_1100_0^9 - 857989156189061/6835797641467*c_1100_0^8 - 697157953261713/6835797641467*c_1100_0^7 + 187204182437229/6835797641467*c_1100_0^6 + 684148371519691/6835797641467*c_1100_0^5 + 863712199121235/6835797641467*c_1100_0^4 - 133245597638903/6835797641467*c_1100_0^3 - 439289990686096/6835797641467*c_1100_0^2 - 293045208266955/6835797641467*c_1100_0 - 44766840307699/6835797641467, c_0101_2 + 31903833479116/6835797641467*c_1100_0^13 + 87171890537912/6835797641467*c_1100_0^12 + 192803989514033/6835797641467*c_1100_0^11 + 332565196690855/6835797641467*c_1100_0^10 + 543282809333032/6835797641467*c_1100_0^9 + 695775221498601/6835797641467*c_1100_0^8 + 553147916376166/6835797641467*c_1100_0^7 - 184408530034841/6835797641467*c_1100_0^6 - 567890797951822/6835797641467*c_1100_0^5 - 708045250552637/6835797641467*c_1100_0^4 + 142640391567549/6835797641467*c_1100_0^3 + 347873481551880/6835797641467*c_1100_0^2 + 233597172193105/6835797641467*c_1100_0 + 35108594815416/6835797641467, c_0101_7 - 17048115028108/6835797641467*c_1100_0^13 - 47659346169724/6835797641467*c_1100_0^12 - 104642573209213/6835797641467*c_1100_0^11 - 181714924700882/6835797641467*c_1100_0^10 - 296687023167800/6835797641467*c_1100_0^9 - 382432406807832/6835797641467*c_1100_0^8 - 306568989466184/6835797641467*c_1100_0^7 + 92488483763326/6835797641467*c_1100_0^6 + 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