/*
  This code can be loaded, or copied and pasted, into Magma.
  It will load the data associated to the HMF, including
  the field, level, and Hecke and Atkin-Lehner eigenvalue data.
  At the *bottom* of the file, there is code to recreate the
  Hilbert modular form in Magma, by creating the HMF space
  and cutting out the corresponding Hecke irreducible subspace.
  From there, you can ask for more eigenvalues or modify as desired.
  It is commented out, as this computation may be lengthy.
*/

P<x> := PolynomialRing(Rationals());
g := P![-34, 0, 1];
F<w> := NumberField(g);
ZF := Integers(F);

NN := ideal<ZF | {11, 11, w + 1}>;

primesArray := [
[2, 2, w - 6],
[3, 3, w + 1],
[3, 3, w + 2],
[5, 5, w + 2],
[5, 5, w + 3],
[11, 11, w + 1],
[11, 11, w + 10],
[17, 17, -3*w + 17],
[29, 29, w + 11],
[29, 29, w + 18],
[37, 37, w + 16],
[37, 37, w + 21],
[47, 47, -w - 9],
[47, 47, w - 9],
[49, 7, -7],
[61, 61, w + 20],
[61, 61, w + 41],
[89, 89, 2*w - 15],
[89, 89, -2*w - 15],
[103, 103, -14*w + 81],
[103, 103, 4*w - 21],
[107, 107, w + 26],
[107, 107, w + 81],
[109, 109, w + 19],
[109, 109, w + 90],
[127, 127, 2*w - 3],
[127, 127, -2*w - 3],
[131, 131, w + 54],
[131, 131, w + 77],
[137, 137, -3*w - 13],
[137, 137, 3*w - 13],
[139, 139, w + 27],
[139, 139, w + 112],
[151, 151, 8*w - 45],
[151, 151, -10*w + 57],
[163, 163, w + 69],
[163, 163, w + 94],
[169, 13, -13],
[173, 173, w + 42],
[173, 173, w + 131],
[181, 181, w + 45],
[181, 181, w + 136],
[191, 191, -w - 15],
[191, 191, w - 15],
[197, 197, w + 25],
[197, 197, w + 172],
[211, 211, w + 33],
[211, 211, w + 178],
[223, 223, -3*w - 23],
[223, 223, 3*w - 23],
[227, 227, w + 48],
[227, 227, w + 179],
[239, 239, -5*w + 33],
[239, 239, -23*w + 135],
[257, 257, -3*w - 7],
[257, 257, 3*w - 7],
[263, 263, -24*w + 139],
[263, 263, 6*w - 31],
[269, 269, w + 29],
[269, 269, w + 240],
[271, 271, -9*w + 55],
[271, 271, -15*w + 89],
[277, 277, w + 119],
[277, 277, w + 158],
[281, 281, 3*w - 5],
[281, 281, -3*w - 5],
[283, 283, w + 113],
[283, 283, w + 170],
[317, 317, w + 44],
[317, 317, w + 273],
[347, 347, w + 46],
[347, 347, w + 301],
[353, 353, 9*w - 49],
[353, 353, -21*w + 121],
[359, 359, -25*w + 147],
[359, 359, -7*w + 45],
[361, 19, -19],
[379, 379, w + 105],
[379, 379, w + 274],
[383, 383, 6*w - 29],
[383, 383, -36*w + 209],
[397, 397, w + 35],
[397, 397, w + 362],
[409, 409, -5*w - 21],
[409, 409, 5*w - 21],
[419, 419, w + 156],
[419, 419, w + 263],
[433, 433, -12*w + 73],
[433, 433, -18*w + 107],
[457, 457, 6*w + 41],
[457, 457, -6*w + 41],
[463, 463, -4*w - 9],
[463, 463, 4*w - 9],
[499, 499, w + 212],
[499, 499, w + 287],
[529, 23, -23],
[541, 541, w + 121],
[541, 541, w + 420],
[547, 547, w + 157],
[547, 547, w + 390],
[569, 569, -28*w + 165],
[569, 569, -10*w + 63],
[571, 571, w + 264],
[571, 571, w + 307],
[577, 577, -47*w + 273],
[577, 577, 7*w - 33],
[593, 593, 2*w - 27],
[593, 593, -2*w - 27],
[599, 599, -6*w - 25],
[599, 599, 6*w - 25],
[619, 619, w + 167],
[619, 619, w + 452],
[631, 631, -15*w + 91],
[631, 631, -21*w + 125],
[643, 643, w + 57],
[643, 643, w + 586],
[647, 647, -11*w + 69],
[647, 647, -29*w + 171],
[653, 653, w + 120],
[653, 653, w + 533],
[677, 677, w + 64],
[677, 677, w + 613],
[683, 683, w + 248],
[683, 683, w + 435],
[691, 691, w + 322],
[691, 691, w + 369],
[709, 709, w + 265],
[709, 709, w + 444],
[727, 727, -9*w + 59],
[727, 727, -39*w + 229],
[761, 761, -27*w + 155],
[761, 761, 15*w - 83],
[769, 769, 5*w - 9],
[769, 769, -5*w - 9],
[787, 787, w + 63],
[787, 787, w + 724],
[811, 811, w + 70],
[811, 811, w + 741],
[821, 821, w + 149],
[821, 821, w + 672],
[827, 827, w + 193],
[827, 827, w + 634],
[853, 853, w + 253],
[853, 853, w + 600],
[863, 863, -6*w - 19],
[863, 863, 6*w - 19],
[877, 877, w + 339],
[877, 877, w + 538],
[907, 907, w + 74],
[907, 907, w + 833],
[919, 919, -3*w - 35],
[919, 919, 3*w - 35],
[937, 937, 7*w - 27],
[937, 937, -7*w - 27],
[941, 941, w + 144],
[941, 941, w + 797],
[947, 947, w + 292],
[947, 947, w + 655],
[953, 953, 2*w - 33],
[953, 953, -2*w - 33],
[961, 31, -31],
[967, 967, 9*w - 61],
[967, 967, -9*w - 61],
[977, 977, -4*w - 39],
[977, 977, 4*w - 39],
[997, 997, w + 55],
[997, 997, w + 942]];
primes := [ideal<ZF | {F!x : x in I}> : I in primesArray];

heckePol := x^17 - x^16 - 25*x^15 + 22*x^14 + 253*x^13 - 190*x^12 - 1335*x^11 + 836*x^10 + 3912*x^9 - 2023*x^8 - 6207*x^7 + 2682*x^6 + 4688*x^5 - 1775*x^4 - 1124*x^3 + 441*x^2 + 25*x - 11;
K<e> := NumberField(heckePol);

heckeEigenvaluesArray := [e, -2241025/11675351*e^16 + 3193095/11675351*e^15 + 51364618/11675351*e^14 - 63516692/11675351*e^13 - 470245887/11675351*e^12 + 469978776/11675351*e^11 + 2221378385/11675351*e^10 - 1608052430/11675351*e^9 - 5763860122/11675351*e^8 + 2451263708/11675351*e^7 + 7967094062/11675351*e^6 - 976376476/11675351*e^5 - 5071930655/11675351*e^4 - 763494380/11675351*e^3 + 894225048/11675351*e^2 + 186638737/11675351*e - 14125971/11675351, -616267/35026053*e^16 - 6747100/35026053*e^15 + 29257229/35026053*e^14 + 47905264/11675351*e^13 - 437801317/35026053*e^12 - 1184133073/35026053*e^11 + 2998194826/35026053*e^10 + 1598806730/11675351*e^9 - 3501680139/11675351*e^8 - 9823111742/35026053*e^7 + 18828863282/35026053*e^6 + 9051431131/35026053*e^5 - 5133317879/11675351*e^4 - 2386674406/35026053*e^3 + 1293993990/11675351*e^2 - 10034326/11675351*e - 106279480/35026053, -2723654/35026053*e^16 + 8463430/35026053*e^15 + 54824512/35026053*e^14 - 59429329/11675351*e^13 - 412378175/35026053*e^12 + 1441148935/35026053*e^11 + 1433771471/35026053*e^10 - 1892172791/11675351*e^9 - 723025613/11675351*e^8 + 11227525763/35026053*e^7 + 630504733/35026053*e^6 - 9975696754/35026053*e^5 + 359321758/11675351*e^4 + 2532727948/35026053*e^3 - 101194918/11675351*e^2 + 38361924/11675351*e - 5977919/35026053, 6965828/35026053*e^16 - 11322001/35026053*e^15 - 160958791/35026053*e^14 + 77694988/11675351*e^13 + 1493663015/35026053*e^12 - 1821935173/35026053*e^11 - 7217977976/35026053*e^10 + 2279232204/11675351*e^9 + 6484912014/11675351*e^8 - 12538720127/35026053*e^7 - 28667845900/35026053*e^6 + 9569823025/35026053*e^5 + 6813785853/11675351*e^4 - 1237957030/35026053*e^3 - 1594987348/11675351*e^2 - 21038707/11675351*e + 210506396/35026053, -1, 3883246/35026053*e^16 - 2834849/35026053*e^15 - 98823245/35026053*e^14 + 19226346/11675351*e^13 + 1029331339/35026053*e^12 - 442036160/35026053*e^11 - 5664176203/35026053*e^10 + 538649324/11675351*e^9 + 5847555701/11675351*e^8 - 2893418404/35026053*e^7 - 29733352610/35026053*e^6 + 2304593099/35026053*e^5 + 8012356584/11675351*e^4 - 842930948/35026053*e^3 - 2011157109/11675351*e^2 + 214520755/11675351*e + 249595804/35026053, -5480387/35026053*e^16 + 28683181/35026053*e^15 + 78308824/35026053*e^14 - 200384086/11675351*e^13 - 178264151/35026053*e^12 + 4857026947/35026053*e^11 - 2168100145/35026053*e^10 - 6448987907/11675351*e^9 + 4884165984/11675351*e^8 + 39659702006/35026053*e^7 - 34682550641/35026053*e^6 - 38807012560/35026053*e^5 + 11010852368/11675351*e^4 + 13883128531/35026053*e^3 - 2934125389/11675351*e^2 - 239287643/11675351*e + 377352532/35026053, -8252786/11675351*e^16 + 11231014/11675351*e^15 + 194190620/11675351*e^14 - 228491576/11675351*e^13 - 1839013107/11675351*e^12 + 1756982892/11675351*e^11 + 9063968836/11675351*e^10 - 6459781849/11675351*e^9 - 24798620457/11675351*e^8 + 11604508988/11675351*e^7 + 36634653182/11675351*e^6 - 8888552731/11675351*e^5 - 25351563766/11675351*e^4 + 1702869410/11675351*e^3 + 5015703022/11675351*e^2 - 335508075/11675351*e - 67743706/11675351, -12142747/35026053*e^16 + 2063525/35026053*e^15 + 320449967/35026053*e^14 - 11473190/11675351*e^13 - 3422317540/35026053*e^12 + 149163998/35026053*e^11 + 18977038738/35026053*e^10 + 90613424/11675351*e^9 - 19342706746/11675351*e^8 - 3521720681/35026053*e^7 + 94993619630/35026053*e^6 + 8694643279/35026053*e^5 - 24073835920/11675351*e^4 - 7158338716/35026053*e^3 + 5319830832/11675351*e^2 + 84015662/11675351*e - 582963856/35026053, 10213716/11675351*e^16 - 5103843/11675351*e^15 - 258221801/11675351*e^14 + 96716660/11675351*e^13 + 2634903913/11675351*e^12 - 651619183/11675351*e^11 - 13937222786/11675351*e^10 + 1847579423/11675351*e^9 + 40581923542/11675351*e^8 - 1725151987/11675351*e^7 - 63215917977/11675351*e^6 - 859298476/11675351*e^5 + 46058381336/11675351*e^4 + 1208257092/11675351*e^3 - 10190308840/11675351*e^2 + 556777646/11675351*e + 246787166/11675351, -8057824/35026053*e^16 + 9329270/35026053*e^15 + 191373140/35026053*e^14 - 64938618/11675351*e^13 - 1826692111/35026053*e^12 + 1551440657/35026053*e^11 + 9044978050/35026053*e^10 - 2000082194/11675351*e^9 - 8266200224/11675351*e^8 + 11726772943/35026053*e^7 + 36866691881/35026053*e^6 - 10759390121/35026053*e^5 - 8837252047/11675351*e^4 + 3770215499/35026053*e^3 + 2208861213/11675351*e^2 - 232885317/11675351*e - 264438448/35026053, 14961682/35026053*e^16 + 10852930/35026053*e^15 - 425019317/35026053*e^14 - 76311848/11675351*e^13 + 4808491924/35026053*e^12 + 1884295522/35026053*e^11 - 27716080318/35026053*e^10 - 2564002346/11675351*e^9 + 28832735760/11675351*e^8 + 15821068409/35026053*e^7 - 142323158450/35026053*e^6 - 13886836666/35026053*e^5 + 35992963516/11675351*e^4 + 1685909341/35026053*e^3 - 8135037705/11675351*e^2 + 647111698/11675351*e + 608822494/35026053, 16430369/35026053*e^16 - 15481474/35026053*e^15 - 390224635/35026053*e^14 + 95771369/11675351*e^13 + 3731253572/35026053*e^12 - 1872030343/35026053*e^11 - 18535656017/35026053*e^10 + 1612175836/11675351*e^9 + 16968181135/11675351*e^8 - 1894208780/35026053*e^7 - 75089077591/35026053*e^6 - 11059031438/35026053*e^5 + 17308738663/11675351*e^4 + 13690063886/35026053*e^3 - 3634699756/11675351*e^2 - 693498574/11675351*e + 433516829/35026053, 25850066/35026053*e^16 - 39475879/35026053*e^15 - 603265543/35026053*e^14 + 275078695/11675351*e^13 + 5660614679/35026053*e^12 - 6598042942/35026053*e^11 - 27656920886/35026053*e^10 + 8559133797/11675351*e^9 + 25083609921/11675351*e^8 - 50428004075/35026053*e^7 - 111429235558/35026053*e^6 + 45874381483/35026053*e^5 + 26245146021/11675351*e^4 - 15219340372/35026053*e^3 - 5698241774/11675351*e^2 + 945181351/11675351*e + 424844423/35026053, 3600395/11675351*e^16 + 2129657/11675351*e^15 - 97277054/11675351*e^14 - 52455439/11675351*e^13 + 1052994246/11675351*e^12 + 527996059/11675351*e^11 - 5837122620/11675351*e^10 - 2774658894/11675351*e^9 + 17560518043/11675351*e^8 + 7984414001/11675351*e^7 - 27783691935/11675351*e^6 - 12012668639/11675351*e^5 + 19951761522/11675351*e^4 + 7936446964/11675351*e^3 - 3835557748/11675351*e^2 - 1070569649/11675351*e + 92210340/11675351, 1388768/11675351*e^16 - 6574564/11675351*e^15 - 20947963/11675351*e^14 + 134294854/11675351*e^13 + 68053893/11675351*e^12 - 1050907035/11675351*e^11 + 369048598/11675351*e^10 + 4042613463/11675351*e^9 - 3032031596/11675351*e^8 - 8065726878/11675351*e^7 + 7507369811/11675351*e^6 + 7968233105/11675351*e^5 - 7222812830/11675351*e^4 - 3210317839/11675351*e^3 + 1749366775/11675351*e^2 + 165835039/11675351*e + 29934558/11675351, -5874869/35026053*e^16 - 8845037/35026053*e^15 + 183788326/35026053*e^14 + 63755094/11675351*e^13 - 2256057719/35026053*e^12 - 1632623309/35026053*e^11 + 13972807796/35026053*e^10 + 2372166810/11675351*e^9 - 15521754941/11675351*e^8 - 16809984259/35026053*e^7 + 81062645107/35026053*e^6 + 20550624815/35026053*e^5 - 20941985596/11675351*e^4 - 10362562637/35026053*e^3 + 3815394621/11675351*e^2 + 29841416/11675351*e + 95353045/35026053, -8167738/35026053*e^16 + 19030646/35026053*e^15 + 166571915/35026053*e^14 - 127490129/11675351*e^13 - 1266515656/35026053*e^12 + 2875130306/35026053*e^11 + 4361026366/35026053*e^10 - 3357385382/11675351*e^9 - 1938816689/11675351*e^8 + 15971904601/35026053*e^7 - 1631751964/35026053*e^6 - 7130371157/35026053*e^5 + 2663668870/11675351*e^4 - 5240027170/35026053*e^3 - 521810966/11675351*e^2 + 876754824/11675351*e - 191403928/35026053, 5941756/35026053*e^16 - 12498725/35026053*e^15 - 126011207/35026053*e^14 + 85903075/11675351*e^13 + 1055152384/35026053*e^12 - 2044806323/35026053*e^11 - 4581989728/35026053*e^10 + 2684455998/11675351*e^9 + 3792014274/11675351*e^8 - 16732243996/35026053*e^7 - 16736839445/35026053*e^6 + 17707394642/35026053*e^5 + 4710207267/11675351*e^4 - 8165172338/35026053*e^3 - 1803676860/11675351*e^2 + 319025456/11675351*e + 296367019/35026053, 1518446/11675351*e^16 + 3606970/11675351*e^15 - 47352677/11675351*e^14 - 78476780/11675351*e^13 + 579850324/11675351*e^12 + 672735364/11675351*e^11 - 3580167740/11675351*e^10 - 2931472169/11675351*e^9 + 11884486463/11675351*e^8 + 6919375661/11675351*e^7 - 20617457041/11675351*e^6 - 8639838359/11675351*e^5 + 16069871581/11675351*e^4 + 5007543571/11675351*e^3 - 3252770349/11675351*e^2 - 740850484/11675351*e + 41938175/11675351, 7982461/11675351*e^16 + 5006875/11675351*e^15 - 222842218/11675351*e^14 - 109454396/11675351*e^13 + 2490755587/11675351*e^12 + 950356327/11675351*e^11 - 14265180102/11675351*e^10 - 4189802198/11675351*e^9 + 44495383075/11675351*e^8 + 9697447619/11675351*e^7 - 73604877128/11675351*e^6 - 10693058424/11675351*e^5 + 56437232536/11675351*e^4 + 3841957187/11675351*e^3 - 12906544128/11675351*e^2 + 524869169/11675351*e + 406549962/11675351, 13377118/35026053*e^16 - 38213564/35026053*e^15 - 260729192/35026053*e^14 + 262108192/11675351*e^13 + 1872149344/35026053*e^12 - 6177637739/35026053*e^11 - 6025260502/35026053*e^10 + 7867264769/11675351*e^9 + 2479285312/11675351*e^8 - 45396487654/35026053*e^7 + 2129203498/35026053*e^6 + 39868405790/35026053*e^5 - 3171175764/11675351*e^4 - 11102716835/35026053*e^3 + 830805811/11675351*e^2 + 25823643/11675351*e + 237377299/35026053, 4902361/11675351*e^16 - 1223153/11675351*e^15 - 123348145/11675351*e^14 + 17541877/11675351*e^13 + 1245754404/11675351*e^12 - 34538499/11675351*e^11 - 6469006183/11675351*e^10 - 539855819/11675351*e^9 + 18282785018/11675351*e^8 + 3335319690/11675351*e^7 - 27131447888/11675351*e^6 - 7097916832/11675351*e^5 + 17936729987/11675351*e^4 + 5587955557/11675351*e^3 - 2605808536/11675351*e^2 - 724416440/11675351*e - 71013343/11675351, -14544508/35026053*e^16 + 8856296/35026053*e^15 + 367988072/35026053*e^14 - 54814543/11675351*e^13 - 3760608562/35026053*e^12 + 1046177492/35026053*e^11 + 19953102472/35026053*e^10 - 783568454/11675351*e^9 - 19478383980/11675351*e^8 - 1238013128/35026053*e^7 + 91994577449/35026053*e^6 + 11652132097/35026053*e^5 - 22793257250/11675351*e^4 - 12293261548/35026053*e^3 + 5292050669/11675351*e^2 + 551457064/11675351*e - 598041235/35026053, 23261513/35026053*e^16 - 32035288/35026053*e^15 - 538241995/35026053*e^14 + 218546489/11675351*e^13 + 4972757822/35026053*e^12 - 5070129796/35026053*e^11 - 23664450590/35026053*e^10 + 6235646700/11675351*e^9 + 20595178351/11675351*e^8 - 33507619817/35026053*e^7 - 86347734196/35026053*e^6 + 25058133307/35026053*e^5 + 19117472022/11675351*e^4 - 4065714214/35026053*e^3 - 4299931073/11675351*e^2 + 366590394/11675351*e + 657239696/35026053, -19557786/11675351*e^16 + 21889707/11675351*e^15 + 464632799/11675351*e^14 - 443942741/11675351*e^13 - 4430031291/11675351*e^12 + 3388750075/11675351*e^11 + 21846346975/11675351*e^10 - 12296769708/11675351*e^9 - 59278544958/11675351*e^8 + 21659495182/11675351*e^7 + 86052751786/11675351*e^6 - 16235763930/11675351*e^5 - 58398938999/11675351*e^4 + 3291163584/11675351*e^3 + 11901163422/11675351*e^2 - 918354973/11675351*e - 256644503/11675351, 9940275/11675351*e^16 - 14616525/11675351*e^15 - 231321435/11675351*e^14 + 297054085/11675351*e^13 + 2158241983/11675351*e^12 - 2268690480/11675351*e^11 - 10438661947/11675351*e^10 + 8152474765/11675351*e^9 + 27929358181/11675351*e^8 - 13649458228/11675351*e^7 - 40267696960/11675351*e^6 + 7917847489/11675351*e^5 + 27206215377/11675351*e^4 + 1386942734/11675351*e^3 - 5149940936/11675351*e^2 - 287024158/11675351*e - 14553869/11675351, -6044441/35026053*e^16 + 1378264/35026053*e^15 + 154206256/35026053*e^14 - 8211342/11675351*e^13 - 1595960249/35026053*e^12 + 181017349/35026053*e^11 + 8618166176/35026053*e^10 - 308952485/11675351*e^9 - 8626354501/11675351*e^8 + 3940850750/35026053*e^7 + 42480075085/35026053*e^6 - 10283608858/35026053*e^5 - 11521319632/11675351*e^4 + 11494112236/35026053*e^3 + 3500155034/11675351*e^2 - 985353736/11675351*e - 315106130/35026053, -20687464/35026053*e^16 + 6619685/35026053*e^15 + 536611676/35026053*e^14 - 42627748/11675351*e^13 - 5639634772/35026053*e^12 + 865112960/35026053*e^11 + 30855392395/35026053*e^10 - 766860600/11675351*e^9 - 31163366683/11675351*e^8 + 855797275/35026053*e^7 + 152832890828/35026053*e^6 + 5686071634/35026053*e^5 - 39380288758/11675351*e^4 - 6737592544/35026053*e^3 + 9434113356/11675351*e^2 + 97294443/11675351*e - 1007917768/35026053, 8099713/35026053*e^16 - 16735826/35026053*e^15 - 166966457/35026053*e^14 + 113810389/11675351*e^13 + 1295097649/35026053*e^12 - 2664041957/35026053*e^11 - 4657347670/35026053*e^10 + 3414781439/11675351*e^9 + 2400194003/11675351*e^8 - 20774713555/35026053*e^7 - 1750793561/35026053*e^6 + 22024412045/35026053*e^5 - 1277428920/11675351*e^4 - 11148271973/35026053*e^3 - 107787960/11675351*e^2 + 688932660/11675351*e + 82565560/35026053, 11338862/35026053*e^16 - 18788215/35026053*e^15 - 244368466/35026053*e^14 + 120796088/11675351*e^13 + 2047317503/35026053*e^12 - 2537258005/35026053*e^11 - 8495769860/35026053*e^10 + 2578683471/11675351*e^9 + 6010945425/11675351*e^8 - 8230245050/35026053*e^7 - 17508280312/35026053*e^6 - 4969435316/35026053*e^5 + 1568260030/11675351*e^4 + 12272937275/35026053*e^3 + 280179694/11675351*e^2 - 836834869/11675351*e + 34379003/35026053, -11485736/11675351*e^16 + 11354515/11675351*e^15 + 276166909/11675351*e^14 - 224551611/11675351*e^13 - 2683175778/11675351*e^12 + 1649576185/11675351*e^11 + 13603922164/11675351*e^10 - 5629575100/11675351*e^9 - 38351440655/11675351*e^8 + 8829557827/11675351*e^7 + 58445031421/11675351*e^6 - 4743138796/11675351*e^5 - 41788683277/11675351*e^4 - 620183058/11675351*e^3 + 8652614315/11675351*e^2 - 231838051/11675351*e - 193429261/11675351, -36966800/35026053*e^16 + 77607190/35026053*e^15 + 799174276/35026053*e^14 - 533079721/11675351*e^13 - 6788922749/35026053*e^12 + 12578844805/35026053*e^11 + 29319664958/35026053*e^10 - 16041535203/11675351*e^9 - 22954014416/11675351*e^8 + 93016989140/35026053*e^7 + 86658691414/35026053*e^6 - 83447258398/35026053*e^5 - 17901993010/11675351*e^4 + 26267443375/35026053*e^3 + 4488883735/11675351*e^2 - 792369085/11675351*e - 680070365/35026053, -7527057/11675351*e^16 + 7748767/11675351*e^15 + 184558797/11675351*e^14 - 157623373/11675351*e^13 - 1833547996/11675351*e^12 + 1195122577/11675351*e^11 + 9524785490/11675351*e^10 - 4167014636/11675351*e^9 - 27541159292/11675351*e^8 + 6231283909/11675351*e^7 + 42942315518/11675351*e^6 - 1423739053/11675351*e^5 - 30904443512/11675351*e^4 - 3703205541/11675351*e^3 + 5881716385/11675351*e^2 + 673452192/11675351*e - 262183550/11675351, 16622578/35026053*e^16 - 15820307/35026053*e^15 - 407389286/35026053*e^14 + 104481217/11675351*e^13 + 4049954575/35026053*e^12 - 2277306164/35026053*e^11 - 21075279883/35026053*e^10 + 2445079850/11675351*e^9 + 20352777824/11675351*e^8 - 8761046908/35026053*e^7 - 95204196200/35026053*e^6 - 3507969574/35026053*e^5 + 22686995787/11675351*e^4 + 11777490085/35026053*e^3 - 4086167446/11675351*e^2 - 486980562/11675351*e + 169995031/35026053, 10354027/35026053*e^16 + 6106642/35026053*e^15 - 296902871/35026053*e^14 - 47702011/11675351*e^13 + 3410275576/35026053*e^12 + 1366395532/35026053*e^11 - 20103720118/35026053*e^10 - 2289370388/11675351*e^9 + 21566948461/11675351*e^8 + 19197935756/35026053*e^7 - 110690391332/35026053*e^6 - 28527068734/35026053*e^5 + 29204633283/11675351*e^4 + 18551229913/35026053*e^3 - 6688415823/11675351*e^2 - 600218471/11675351*e + 762938104/35026053, -7434034/35026053*e^16 + 38218145/35026053*e^15 + 113245616/35026053*e^14 - 268876598/11675351*e^13 - 406526980/35026053*e^12 + 6591951596/35026053*e^11 - 1439469461/35026053*e^10 - 8915519741/11675351*e^9 + 4393191697/11675351*e^8 + 56498508412/35026053*e^7 - 32111967835/35026053*e^6 - 58162651904/35026053*e^5 + 9963057979/11675351*e^4 + 22831255325/35026053*e^3 - 2410615425/11675351*e^2 - 409277652/11675351*e + 46636538/35026053, 21412044/11675351*e^16 - 23610182/11675351*e^15 - 512570058/11675351*e^14 + 479584827/11675351*e^13 + 4935230102/11675351*e^12 - 3663964052/11675351*e^11 - 24645585831/11675351*e^10 + 13263297574/11675351*e^9 + 67973762778/11675351*e^8 - 23040546951/11675351*e^7 - 100800685298/11675351*e^6 + 16222751228/11675351*e^5 + 70300636671/11675351*e^4 - 1894334400/11675351*e^3 - 14831870776/11675351*e^2 + 455130542/11675351*e + 408688819/11675351, 13635788/35026053*e^16 - 71397520/35026053*e^15 - 192603469/35026053*e^14 + 500228316/11675351*e^13 + 357991409/35026053*e^12 - 12184158184/35026053*e^11 + 6448221001/35026053*e^10 + 16327829554/11675351*e^9 - 14027238756/11675351*e^8 - 102469482881/35026053*e^7 + 99682193117/35026053*e^6 + 105286207405/35026053*e^5 - 31180661129/11675351*e^4 - 42914117038/35026053*e^3 + 7081977419/11675351*e^2 + 1063638396/11675351*e - 162077047/35026053, 39971356/35026053*e^16 + 2286685/35026053*e^15 - 1075078112/35026053*e^14 - 23002684/11675351*e^13 + 11681888761/35026053*e^12 + 884231212/35026053*e^11 - 65729774779/35026053*e^10 - 1905399585/11675351*e^9 + 67791289961/11675351*e^8 + 18851601593/35026053*e^7 - 335992402775/35026053*e^6 - 29664407119/35026053*e^5 + 85691105720/11675351*e^4 + 17274920308/35026053*e^3 - 18866488774/11675351*e^2 + 299828452/11675351*e + 1690566202/35026053, 11113057/11675351*e^16 - 14813610/11675351*e^15 - 252039711/11675351*e^14 + 294153486/11675351*e^13 + 2265844345/11675351*e^12 - 2178927147/11675351*e^11 - 10379865699/11675351*e^10 + 7563596591/11675351*e^9 + 25612154354/11675351*e^8 - 12357437778/11675351*e^7 - 32672219460/11675351*e^6 + 7722773222/11675351*e^5 + 18355992486/11675351*e^4 - 146679868/11675351*e^3 - 2652792041/11675351*e^2 - 85482106/11675351*e + 53584138/11675351, -23041105/35026053*e^16 + 16616315/35026053*e^15 + 588699968/35026053*e^14 - 121011271/11675351*e^13 - 6062805430/35026053*e^12 + 3060837170/35026053*e^11 + 32320977172/35026053*e^10 - 4252921571/11675351*e^9 - 31621716672/11675351*e^8 + 27939458821/35026053*e^7 + 149545289960/35026053*e^6 - 31515078392/35026053*e^5 - 37265708624/11675351*e^4 + 16668924491/35026053*e^3 + 9015961834/11675351*e^2 - 1140424315/11675351*e - 969275194/35026053, 50662264/35026053*e^16 - 78988556/35026053*e^15 - 1158356450/35026053*e^14 + 542081867/11675351*e^13 + 10557061045/35026053*e^12 - 12731990654/35026053*e^11 - 49501121308/35026053*e^10 + 16050470437/11675351*e^9 + 42341443123/11675351*e^8 - 90815216422/35026053*e^7 - 172743962210/35026053*e^6 + 77119579094/35026053*e^5 + 35651687490/11675351*e^4 - 20847201848/35026053*e^3 - 5749855370/11675351*e^2 + 838370891/11675351*e + 82518685/35026053, -15542439/11675351*e^16 + 7088625/11675351*e^15 + 401375746/11675351*e^14 - 143043254/11675351*e^13 - 4196073872/11675351*e^12 + 1062006845/11675351*e^11 + 22805691280/11675351*e^10 - 3571447888/11675351*e^9 - 68448951779/11675351*e^8 + 5150343731/11675351*e^7 + 110155649424/11675351*e^6 - 1723816043/11675351*e^5 - 82566698305/11675351*e^4 - 1028999935/11675351*e^3 + 18007294209/11675351*e^2 - 862483470/11675351*e - 371660177/11675351, -51117316/35026053*e^16 + 52385684/35026053*e^15 + 1219785110/35026053*e^14 - 350456610/11675351*e^13 - 11687126911/35026053*e^12 + 7896222347/35026053*e^11 + 57900826792/35026053*e^10 - 9310708170/11675351*e^9 - 52525810506/11675351*e^8 + 47082611248/35026053*e^7 + 228353450171/35026053*e^6 - 31906862672/35026053*e^5 - 50867477104/11675351*e^4 + 3569168741/35026053*e^3 + 9597186668/11675351*e^2 - 353301323/11675351*e - 486313822/35026053, 10151653/35026053*e^16 + 6376471/35026053*e^15 - 274501433/35026053*e^14 - 49938728/11675351*e^13 + 2975325589/35026053*e^12 + 1385131240/35026053*e^11 - 16532611126/35026053*e^10 - 2095681742/11675351*e^9 + 16669745036/11675351*e^8 + 13946318000/35026053*e^7 - 80419574672/35026053*e^6 - 12212839102/35026053*e^5 + 20410100262/11675351*e^4 + 100150798/35026053*e^3 - 5216702245/11675351*e^2 + 704114257/11675351*e + 283397179/35026053, -30602171/11675351*e^16 + 34363500/11675351*e^15 + 733903906/11675351*e^14 - 701869736/11675351*e^13 - 7086687500/11675351*e^12 + 5428173724/11675351*e^11 + 35533977799/11675351*e^10 - 20195134906/11675351*e^9 - 98493483648/11675351*e^8 + 37462400010/11675351*e^7 + 146793228741/11675351*e^6 - 31901269815/11675351*e^5 - 102742358556/11675351*e^4 + 10030802221/11675351*e^3 + 21730485388/11675351*e^2 - 2167210749/11675351*e - 507187432/11675351, -21202211/35026053*e^16 + 43754224/35026053*e^15 + 466809175/35026053*e^14 - 300470166/11675351*e^13 - 4058165441/35026053*e^12 + 7072642591/35026053*e^11 + 17988935843/35026053*e^10 - 8943632191/11675351*e^9 - 14385310946/11675351*e^8 + 50682179111/35026053*e^7 + 53662852093/35026053*e^6 - 42658201255/35026053*e^5 - 9432174723/11675351*e^4 + 10517769232/35026053*e^3 + 659487153/11675351*e^2 - 107887089/11675351*e + 145563415/35026053, 8092822/11675351*e^16 - 10139198/11675351*e^15 - 203642054/11675351*e^14 + 217451541/11675351*e^13 + 2080874362/11675351*e^12 - 1798417600/11675351*e^11 - 11134726869/11675351*e^10 + 7307530993/11675351*e^9 + 33234163355/11675351*e^8 - 15213558826/11675351*e^7 - 53858582520/11675351*e^6 + 15200848636/11675351*e^5 + 41395272675/11675351*e^4 - 6287477578/11675351*e^3 - 9784805471/11675351*e^2 + 1591701366/11675351*e + 337779835/11675351, 1790813/35026053*e^16 - 62578141/35026053*e^15 + 97722896/35026053*e^14 + 434598420/11675351*e^13 - 2447698294/35026053*e^12 - 10414761631/35026053*e^11 + 20020055065/35026053*e^10 + 13485583830/11675351*e^9 - 25471879247/11675351*e^8 - 78033958223/35026053*e^7 + 143008004651/35026053*e^6 + 64445152591/35026053*e^5 - 39402922440/11675351*e^4 - 10520324980/35026053*e^3 + 9507939107/11675351*e^2 - 881674979/11675351*e - 859927282/35026053, 54081062/35026053*e^16 - 46869706/35026053*e^15 - 1342709509/35026053*e^14 + 314540289/11675351*e^13 + 13496006768/35026053*e^12 - 7092990247/35026053*e^11 - 70736690204/35026053*e^10 + 8292354736/11675351*e^9 + 68530651411/11675351*e^8 - 40191750800/35026053*e^7 - 321683960848/35026053*e^6 + 21859389877/35026053*e^5 + 78358459001/11675351*e^4 + 4119462089/35026053*e^3 - 16689417978/11675351*e^2 + 225504679/11675351*e + 1874423648/35026053, 15256250/35026053*e^16 - 33868357/35026053*e^15 - 320730970/35026053*e^14 + 227628054/11675351*e^13 + 2590656326/35026053*e^12 - 5135603803/35026053*e^11 - 10193410358/35026053*e^10 + 5934877214/11675351*e^9 + 6643230627/11675351*e^8 - 26764074005/35026053*e^7 - 16372483468/35026053*e^6 + 7435425286/35026053*e^5 + 239502654/11675351*e^4 + 13971826070/35026053*e^3 + 1401802332/11675351*e^2 - 1329911820/11675351*e - 517124548/35026053, 15339620/35026053*e^16 + 45381302/35026053*e^15 - 520842058/35026053*e^14 - 317349061/11675351*e^13 + 6717301199/35026053*e^12 + 7754702786/35026053*e^11 - 42815897423/35026053*e^10 - 10487172418/11675351*e^9 + 48403104333/11675351*e^8 + 66588233371/35026053*e^7 - 256967610175/35026053*e^6 - 68517133571/35026053*e^5 + 69015060296/11675351*e^4 + 26065415792/35026053*e^3 - 15702574456/11675351*e^2 - 7241835/11675351*e + 999983771/35026053, 16984467/11675351*e^16 - 35141954/11675351*e^15 - 372347577/11675351*e^14 + 720758679/11675351*e^13 + 3227942925/11675351*e^12 - 5610484609/11675351*e^11 - 14346048736/11675351*e^10 + 20948686304/11675351*e^9 + 35002709772/11675351*e^8 - 38069025063/11675351*e^7 - 45933935379/11675351*e^6 + 28228139387/11675351*e^5 + 28616323930/11675351*e^4 - 2443801231/11675351*e^3 - 5586187468/11675351*e^2 - 747084296/11675351*e + 220485304/11675351, 8044051/35026053*e^16 - 13406054/35026053*e^15 - 210299897/35026053*e^14 + 99738543/11675351*e^13 + 2246117089/35026053*e^12 - 2573081243/35026053*e^11 - 12631965595/35026053*e^10 + 3563643330/11675351*e^9 + 13253647324/11675351*e^8 - 21591661447/35026053*e^7 - 67622637743/35026053*e^6 + 17710008650/35026053*e^5 + 17533959421/11675351*e^4 - 2497895696/35026053*e^3 - 3323068606/11675351*e^2 + 218812135/11675351*e + 385434940/35026053, 3088267/35026053*e^16 - 82670024/35026053*e^15 + 107188729/35026053*e^14 + 578154517/11675351*e^13 - 3028080710/35026053*e^12 - 14056527227/35026053*e^11 + 25886576285/35026053*e^10 + 18759923110/11675351*e^9 - 34149000632/11675351*e^8 - 116143835713/35026053*e^7 + 198872811553/35026053*e^6 + 114113326658/35026053*e^5 - 56744791991/11675351*e^4 - 39561445331/35026053*e^3 + 13706835198/11675351*e^2 + 136973972/11675351*e - 964721888/35026053, -13489370/35026053*e^16 + 31493851/35026053*e^15 + 298787266/35026053*e^14 - 215787485/11675351*e^13 - 2631542501/35026053*e^12 + 5072422489/35026053*e^11 + 11977671728/35026053*e^10 - 6412541413/11675351*e^9 - 10051051563/11675351*e^8 + 36390222077/35026053*e^7 + 40597390612/35026053*e^6 - 30773824771/35026053*e^5 - 7996664269/11675351*e^4 + 8027506339/35026053*e^3 + 548723599/11675351*e^2 - 422988016/11675351*e + 157553473/35026053, -23113852/35026053*e^16 - 3497623/35026053*e^15 + 603201377/35026053*e^14 + 39263110/11675351*e^13 - 6310662151/35026053*e^12 - 1496145382/35026053*e^11 + 33830279284/35026053*e^10 + 3026069007/11675351*e^9 - 32754744810/11675351*e^8 - 27531561899/35026053*e^7 + 149260631213/35026053*e^6 + 39463132828/35026053*e^5 - 33825348631/11675351*e^4 - 21559316653/35026053*e^3 + 5688993973/11675351*e^2 + 376610547/11675351*e + 174526259/35026053, 48083434/35026053*e^16 - 36710894/35026053*e^15 - 1222295960/35026053*e^14 + 252728696/11675351*e^13 + 12604289074/35026053*e^12 - 5910515960/35026053*e^11 - 67847269828/35026053*e^10 + 7296982263/11675351*e^9 + 67566367268/11675351*e^8 - 38891955361/35026053*e^7 - 326483567051/35026053*e^6 + 27560532716/35026053*e^5 + 82201839525/11675351*e^4 - 3167172833/35026053*e^3 - 18574564621/11675351*e^2 + 959615940/11675351*e + 1989329110/35026053, 5203973/35026053*e^16 + 4128782/35026053*e^15 - 166327117/35026053*e^14 - 30064931/11675351*e^13 + 2111738636/35026053*e^12 + 797113724/35026053*e^11 - 13711879439/35026053*e^10 - 1255644619/11675351*e^9 + 16212011489/11675351*e^8 + 10289689771/35026053*e^7 - 92100563722/35026053*e^6 - 15524747096/35026053*e^5 + 27314032404/11675351*e^4 + 10086835364/35026053*e^3 - 7793397203/11675351*e^2 - 121775670/11675351*e + 1291111856/35026053, -31100074/35026053*e^16 + 869978/35026053*e^15 + 845718755/35026053*e^14 - 5111372/11675351*e^13 - 9309905377/35026053*e^12 + 16677125/35026053*e^11 + 53190561886/35026053*e^10 + 307949444/11675351*e^9 - 55829303466/11675351*e^8 - 5896828652/35026053*e^7 + 281946719102/35026053*e^6 + 13457254633/35026053*e^5 - 73082530245/11675351*e^4 - 10179339394/35026053*e^3 + 16010867428/11675351*e^2 - 533483871/11675351*e - 1352353189/35026053, -1520997/11675351*e^16 + 15084989/11675351*e^15 + 1377418/11675351*e^14 - 310066002/11675351*e^13 + 370693509/11675351*e^12 + 2439622748/11675351*e^11 - 3923743069/11675351*e^10 - 9370018136/11675351*e^9 + 16907531230/11675351*e^8 + 18198666682/11675351*e^7 - 34836189562/11675351*e^6 - 16206745475/11675351*e^5 + 32080440032/11675351*e^4 + 4576386013/11675351*e^3 - 9201411729/11675351*e^2 + 32212085/11675351*e + 354716950/11675351, 4372010/11675351*e^16 - 11761976/11675351*e^15 - 83873360/11675351*e^14 + 236909721/11675351*e^13 + 572778690/11675351*e^12 - 1799441991/11675351*e^11 - 1548979814/11675351*e^10 + 6502672110/11675351*e^9 + 348546661/11675351*e^8 - 11294752317/11675351*e^7 + 5427012010/11675351*e^6 + 7731095991/11675351*e^5 - 6952063067/11675351*e^4 - 109322591/11675351*e^3 + 569304011/11675351*e^2 - 637539468/11675351*e + 159323112/11675351, 35594732/35026053*e^16 - 98847067/35026053*e^15 - 731852842/35026053*e^14 + 687493770/11675351*e^13 + 5751967880/35026053*e^12 - 16461858400/35026053*e^11 - 21975486281/35026053*e^10 + 21261251922/11675351*e^9 + 13979170687/11675351*e^8 - 123215624375/35026053*e^7 - 34759168537/35026053*e^6 + 104858521096/35026053*e^5 + 1529354962/11675351*e^4 - 23243818621/35026053*e^3 + 1598988445/11675351*e^2 - 306023613/11675351*e - 149674486/35026053, 8015705/35026053*e^16 + 15218333/35026053*e^15 - 244502263/35026053*e^14 - 109481920/11675351*e^13 + 2893400057/35026053*e^12 + 2811939368/35026053*e^11 - 17038402622/35026053*e^10 - 4129691774/11675351*e^9 + 17726896231/11675351*e^8 + 29873167276/35026053*e^7 - 85525964728/35026053*e^6 - 37926162935/35026053*e^5 + 20383287006/11675351*e^4 + 21326359094/35026053*e^3 - 3744436907/11675351*e^2 - 751466561/11675351*e - 222213697/35026053, 20857531/35026053*e^16 + 14034298/35026053*e^15 - 595978235/35026053*e^14 - 103791093/11675351*e^13 + 6795957295/35026053*e^12 + 2735649514/35026053*e^11 - 39610417498/35026053*e^10 - 4047083709/11675351*e^9 + 41868095578/11675351*e^8 + 28083025628/35026053*e^7 - 211609873967/35026053*e^6 - 30841810153/35026053*e^5 + 55624829482/11675351*e^4 + 11598322327/35026053*e^3 - 13807816914/11675351*e^2 + 319591452/11675351*e + 1855870825/35026053, -10045820/11675351*e^16 + 31358513/11675351*e^15 + 201349697/11675351*e^14 - 652998926/11675351*e^13 - 1526353486/11675351*e^12 + 5210193351/11675351*e^11 + 5548413042/11675351*e^10 - 20256353881/11675351*e^9 - 9889054252/11675351*e^8 + 39582392286/11675351*e^7 + 7532550969/11675351*e^6 - 34830385611/11675351*e^5 - 1379495249/11675351*e^4 + 8970930703/11675351*e^3 + 158660180/11675351*e^2 + 77350121/11675351*e - 270801361/11675351, -15997202/11675351*e^16 + 29152048/11675351*e^15 + 350160957/11675351*e^14 - 594373623/11675351*e^13 - 2999682178/11675351*e^12 + 4610077833/11675351*e^11 + 12886072299/11675351*e^10 - 17372317708/11675351*e^9 - 29164982650/11675351*e^8 + 33367507956/11675351*e^7 + 33188287745/11675351*e^6 - 31137276932/11675351*e^5 - 16837661857/11675351*e^4 + 12338451883/11675351*e^3 + 3696492973/11675351*e^2 - 1930350024/11675351*e - 130214389/11675351, 41099251/35026053*e^16 - 71445347/35026053*e^15 - 880368845/35026053*e^14 + 478990829/11675351*e^13 + 7283658688/35026053*e^12 - 10865637563/35026053*e^11 - 29447721481/35026053*e^10 + 12990139395/11675351*e^9 + 19663779349/11675351*e^8 - 67148567938/35026053*e^7 - 48307566470/35026053*e^6 + 46419878237/35026053*e^5 - 110158734/11675351*e^4 - 3054539204/35026053*e^3 + 3879323823/11675351*e^2 - 471187217/11675351*e - 1041208610/35026053, 19107457/35026053*e^16 - 20219147/35026053*e^15 - 427620065/35026053*e^14 + 132000980/11675351*e^13 + 3751948993/35026053*e^12 - 2846457647/35026053*e^11 - 16459555177/35026053*e^10 + 3085144155/11675351*e^9 + 12582682357/11675351*e^8 - 12638625013/35026053*e^7 - 42982804049/35026053*e^6 + 2008564814/35026053*e^5 + 7295117304/11675351*e^4 + 8272473586/35026053*e^3 - 2006677520/11675351*e^2 - 1065936358/11675351*e + 627368227/35026053, -12345740/35026053*e^16 + 14809660/35026053*e^15 + 327988324/35026053*e^14 - 109818559/11675351*e^13 - 3588507323/35026053*e^12 + 2850374530/35026053*e^11 + 20852032157/35026053*e^10 - 4063766842/11675351*e^9 - 22813583016/11675351*e^8 + 26733354947/35026053*e^7 + 122947373041/35026053*e^6 - 27894257770/35026053*e^5 - 34868454789/11675351*e^4 + 12132610573/35026053*e^3 + 8953533496/11675351*e^2 - 1341373026/11675351*e - 656742929/35026053, -13281863/35026053*e^16 - 57862022/35026053*e^15 + 481854406/35026053*e^14 + 422795632/11675351*e^13 - 6478274876/35026053*e^12 - 10924331294/35026053*e^11 + 42485409473/35026053*e^10 + 15830043889/11675351*e^9 - 48982425800/11675351*e^8 - 109764408868/35026053*e^7 + 262970745691/35026053*e^6 + 128009334380/35026053*e^5 - 70528395603/11675351*e^4 - 61413263585/35026053*e^3 + 15352413529/11675351*e^2 + 1463654656/11675351*e - 793180097/35026053, 6084271/35026053*e^16 + 69891805/35026053*e^15 - 306215642/35026053*e^14 - 501205909/11675351*e^13 + 4694061820/35026053*e^12 + 12630215362/35026053*e^11 - 32671681663/35026053*e^10 - 17713643553/11675351*e^9 + 38678068550/11675351*e^8 + 117547556621/35026053*e^7 - 210007215785/35026053*e^6 - 128683128532/35026053*e^5 + 56955808085/11675351*e^4 + 56178427120/35026053*e^3 - 13112148939/11675351*e^2 - 1400980939/11675351*e + 887036617/35026053, 12798394/35026053*e^16 + 28778266/35026053*e^15 - 385828139/35026053*e^14 - 207213043/11675351*e^13 + 4600040092/35026053*e^12 + 5198518756/35026053*e^11 - 27788662021/35026053*e^10 - 7071260462/11675351*e^9 + 30212375607/11675351*e^8 + 42659044571/35026053*e^7 - 155697401807/35026053*e^6 - 35095236073/35026053*e^5 + 41000301239/11675351*e^4 + 2252672473/35026053*e^3 - 9403057085/11675351*e^2 + 1250805803/11675351*e + 312587824/35026053, 5896682/11675351*e^16 + 8158092/11675351*e^15 - 173534764/11675351*e^14 - 183985738/11675351*e^13 + 2017583531/11675351*e^12 + 1655534062/11675351*e^11 - 11864072301/11675351*e^10 - 7651296778/11675351*e^9 + 37531641850/11675351*e^8 + 19139602872/11675351*e^7 - 62172027093/11675351*e^6 - 24707276027/11675351*e^5 + 46942070314/11675351*e^4 + 13771665323/11675351*e^3 - 10044014869/11675351*e^2 - 1551929084/11675351*e + 166732313/11675351, 997863/11675351*e^16 - 68227/11675351*e^15 - 28173679/11675351*e^14 + 1662151/11675351*e^13 + 325545801/11675351*e^12 - 12615962/11675351*e^11 - 1970592004/11675351*e^10 + 12946536/11675351*e^9 + 6613986631/11675351*e^8 + 254132519/11675351*e^7 - 11909876352/11675351*e^6 - 1082197685/11675351*e^5 + 10003172673/11675351*e^4 + 1266681022/11675351*e^3 - 2580147075/11675351*e^2 - 39078200/11675351*e + 104607651/11675351, -5849254/11675351*e^16 - 286493/11675351*e^15 + 157658985/11675351*e^14 + 3127366/11675351*e^13 - 1712188397/11675351*e^12 - 8887890/11675351*e^11 + 9601661192/11675351*e^10 + 22678983/11675351*e^9 - 29559001782/11675351*e^8 - 188063520/11675351*e^7 + 48601281192/11675351*e^6 + 585639513/11675351*e^5 - 37118211218/11675351*e^4 - 356834450/11675351*e^3 + 8181892796/11675351*e^2 - 608067946/11675351*e - 55020899/11675351, 20797011/11675351*e^16 - 43742537/11675351*e^15 - 450532820/11675351*e^14 + 903244307/11675351*e^13 + 3829821160/11675351*e^12 - 7118889735/11675351*e^11 - 16484940741/11675351*e^10 + 27262518617/11675351*e^9 + 38222871294/11675351*e^8 - 52568731510/11675351*e^7 - 46412837420/11675351*e^6 + 46547229655/11675351*e^5 + 26078442730/11675351*e^4 - 13820429221/11675351*e^3 - 4893375756/11675351*e^2 + 1015591367/11675351*e + 372271177/11675351, -23366915/11675351*e^16 + 35125035/11675351*e^15 + 547955952/11675351*e^14 - 725275584/11675351*e^13 - 5180585125/11675351*e^12 + 5701912110/11675351*e^11 + 25593513296/11675351*e^10 - 21667797520/11675351*e^9 - 70678720647/11675351*e^8 + 40974375564/11675351*e^7 + 106599828607/11675351*e^6 - 34425581883/11675351*e^5 - 77018233170/11675351*e^4 + 8519927806/11675351*e^3 + 17438762085/11675351*e^2 - 1052736602/11675351*e - 607608200/11675351, -13663926/11675351*e^16 + 23910138/11675351*e^15 + 314835536/11675351*e^14 - 499783571/11675351*e^13 - 2905247560/11675351*e^12 + 3992591737/11675351*e^11 + 13894159240/11675351*e^10 - 15465983444/11675351*e^9 - 36745360440/11675351*e^8 + 29855890893/11675351*e^7 + 52197607678/11675351*e^6 - 25542502809/11675351*e^5 - 34202093815/11675351*e^4 + 6504784389/11675351*e^3 + 5669308621/11675351*e^2 - 1209996087/11675351*e + 85199047/11675351, -19573079/11675351*e^16 + 11801256/11675351*e^15 + 497009557/11675351*e^14 - 234725320/11675351*e^13 - 5107795633/11675351*e^12 + 1738417169/11675351*e^11 + 27303998079/11675351*e^10 - 6058332608/11675351*e^9 - 80624763117/11675351*e^8 + 10312138839/11675351*e^7 + 127667446195/11675351*e^6 - 8252346273/11675351*e^5 - 94356769285/11675351*e^4 + 3400146764/11675351*e^3 + 20732600043/11675351*e^2 - 1749321079/11675351*e - 583599526/11675351, -5338838/11675351*e^16 + 26616405/11675351*e^15 + 81029267/11675351*e^14 - 556206814/11675351*e^13 - 267322724/11675351*e^12 + 4452280466/11675351*e^11 - 1416410329/11675351*e^10 - 17315652050/11675351*e^9 + 11824779038/11675351*e^8 + 33503748794/11675351*e^7 - 29688984451/11675351*e^6 - 28198751640/11675351*e^5 + 29577851772/11675351*e^4 + 5747572877/11675351*e^3 - 8497028279/11675351*e^2 + 109885878/11675351*e + 210408627/11675351, 8540405/11675351*e^16 - 4220182/11675351*e^15 - 216563625/11675351*e^14 + 76563496/11675351*e^13 + 2227613518/11675351*e^12 - 477156115/11675351*e^11 - 11953291456/11675351*e^10 + 1123758836/11675351*e^9 + 35540221508/11675351*e^8 - 234493235/11675351*e^7 - 56841482900/11675351*e^6 - 2199997340/11675351*e^5 + 42628067123/11675351*e^4 + 1366862233/11675351*e^3 - 9637044263/11675351*e^2 + 796303979/11675351*e + 114944682/11675351, -5243456/11675351*e^16 + 21534761/11675351*e^15 + 85522491/11675351*e^14 - 441125753/11675351*e^13 - 395837424/11675351*e^12 + 3441700144/11675351*e^11 - 232651687/11675351*e^10 - 12982706172/11675351*e^9 + 6633723526/11675351*e^8 + 24257876616/11675351*e^7 - 18033968659/11675351*e^6 - 19578778070/11675351*e^5 + 16785817995/11675351*e^4 + 3623691826/11675351*e^3 - 2883970936/11675351*e^2 + 95751673/11675351*e - 302705054/11675351, 25344602/35026053*e^16 - 26085013/35026053*e^15 - 652913548/35026053*e^14 + 199069966/11675351*e^13 + 6817535231/35026053*e^12 - 5338792762/35026053*e^11 - 37103572946/35026053*e^10 + 7928598659/11675351*e^9 + 37290115462/11675351*e^8 - 55472437628/35026053*e^7 - 181046267779/35026053*e^6 + 64658243878/35026053*e^5 + 45014630083/11675351*e^4 - 33022424422/35026053*e^3 - 8954317494/11675351*e^2 + 2294684320/11675351*e + 240795116/35026053, 42572542/35026053*e^16 - 31855412/35026053*e^15 - 1056427727/35026053*e^14 + 217577300/11675351*e^13 + 10602037855/35026053*e^12 - 4997208008/35026053*e^11 - 55420104094/35026053*e^10 + 5943116273/11675351*e^9 + 53547913004/11675351*e^8 - 29096584735/35026053*e^7 - 251215263008/35026053*e^6 + 15448487984/35026053*e^5 + 61523146186/11675351*e^4 + 3459837598/35026053*e^3 - 13398395950/11675351*e^2 + 251642613/11675351*e + 869863102/35026053, 4404940/11675351*e^16 - 21703398/11675351*e^15 - 58449707/11675351*e^14 + 438960654/11675351*e^13 + 51318346/11675351*e^12 - 3349736163/11675351*e^11 + 2463349758/11675351*e^10 + 12114860684/11675351*e^9 - 14529664258/11675351*e^8 - 20595022331/11675351*e^7 + 33206121828/11675351*e^6 + 12141759624/11675351*e^5 - 31445495334/11675351*e^4 + 2823558712/11675351*e^3 + 8781136320/11675351*e^2 - 1625661692/11675351*e - 200272453/11675351, 12042391/35026053*e^16 - 14518910/35026053*e^15 - 304460495/35026053*e^14 + 96346716/11675351*e^13 + 3146566396/35026053*e^12 - 2131768127/35026053*e^11 - 17163436480/35026053*e^10 + 2368978126/11675351*e^9 + 17499031992/11675351*e^8 - 9426661414/35026053*e^7 - 86761355102/35026053*e^6 - 1158027955/35026053*e^5 + 21713640723/11675351*e^4 + 10187755837/35026053*e^3 - 3532208810/11675351*e^2 - 678706369/11675351*e - 594151304/35026053, -21365347/35026053*e^16 + 110986361/35026053*e^15 + 310481192/35026053*e^14 - 766030077/11675351*e^13 - 799825273/35026053*e^12 + 18214309817/35026053*e^11 - 7644747419/35026053*e^10 - 23428434785/11675351*e^9 + 18055997121/11675351*e^8 + 136241671348/35026053*e^7 - 130013365231/35026053*e^6 - 119292987473/35026053*e^5 + 41671153086/11675351*e^4 + 32308828655/35026053*e^3 - 11267890329/11675351*e^2 - 618189815/11675351*e + 1226721305/35026053, 54578366/35026053*e^16 - 35385961/35026053*e^15 - 1402929217/35026053*e^14 + 250593117/11675351*e^13 + 14665286615/35026053*e^12 - 6145278751/35026053*e^11 - 80213222450/35026053*e^10 + 8281508407/11675351*e^9 + 81358058542/11675351*e^8 - 52789610720/35026053*e^7 - 401147312536/35026053*e^6 + 57684154411/35026053*e^5 + 103060632666/11675351*e^4 - 30711976663/35026053*e^3 - 23524350604/11675351*e^2 + 3141239052/11675351*e + 1707313403/35026053, -17046005/35026053*e^16 - 38444003/35026053*e^15 + 565287616/35026053*e^14 + 263223314/11675351*e^13 - 7199898212/35026053*e^12 - 6198270983/35026053*e^11 + 45624916985/35026053*e^10 + 7840360179/11675351*e^9 - 51464910540/11675351*e^8 - 43631191582/35026053*e^7 + 273161037928/35026053*e^6 + 32394390248/35026053*e^5 - 73570764799/11675351*e^4 - 235667441/35026053*e^3 + 17106410252/11675351*e^2 - 1429394860/11675351*e - 1102865024/35026053, 4773588/11675351*e^16 + 7191280/11675351*e^15 - 131137821/11675351*e^14 - 169680993/11675351*e^13 + 1447746197/11675351*e^12 + 1576147925/11675351*e^11 - 8200682850/11675351*e^10 - 7279024217/11675351*e^9 + 25231486851/11675351*e^8 + 17229863123/11675351*e^7 - 40860090843/11675351*e^6 - 19133292085/11675351*e^5 + 30277279837/11675351*e^4 + 7411737557/11675351*e^3 - 6581837372/11675351*e^2 - 140195758/11675351*e + 181194640/11675351, -11494894/35026053*e^16 + 67661378/35026053*e^15 + 128472479/35026053*e^14 - 462314325/11675351*e^13 + 373449197/35026053*e^12 + 10926422726/35026053*e^11 - 10558677779/35026053*e^10 - 14192425908/11675351*e^9 + 18147673106/11675351*e^8 + 86998434511/35026053*e^7 - 119739018238/35026053*e^6 - 89765727185/35026053*e^5 + 36639104366/11675351*e^4 + 39140126708/35026053*e^3 - 8852031671/11675351*e^2 - 871313274/11675351*e + 1055390918/35026053, 47723621/35026053*e^16 + 26984288/35026053*e^15 - 1336163983/35026053*e^14 - 192597701/11675351*e^13 + 14987508548/35026053*e^12 + 4936888400/35026053*e^11 - 86203827272/35026053*e^10 - 7262931213/11675351*e^9 + 90066175934/11675351*e^8 + 52479380080/35026053*e^7 - 449041417420/35026053*e^6 - 65549781971/35026053*e^5 + 114924322885/11675351*e^4 + 34098999002/35026053*e^3 - 25941445298/11675351*e^2 - 19395067/11675351*e + 3014127011/35026053, -79647776/35026053*e^16 + 112420354/35026053*e^15 + 1845061786/35026053*e^14 - 759151085/11675351*e^13 - 17127869807/35026053*e^12 + 17358709726/35026053*e^11 + 82338628253/35026053*e^10 - 20867490931/11675351*e^9 - 72752404828/11675351*e^8 + 107115589811/35026053*e^7 + 308735886349/35026053*e^6 - 69366193996/35026053*e^5 - 66085219392/11675351*e^4 - 1023667040/35026053*e^3 + 9825843001/11675351*e^2 + 183364398/11675351*e + 569541070/35026053, -19254291/11675351*e^16 + 2190036/11675351*e^15 + 510607495/11675351*e^14 - 46466883/11675351*e^13 - 5468706702/11675351*e^12 + 357362510/11675351*e^11 + 30333537018/11675351*e^10 - 1292406273/11675351*e^9 - 92599621393/11675351*e^8 + 2615203916/11675351*e^7 + 151387849544/11675351*e^6 - 3861925496/11675351*e^5 - 115852658966/11675351*e^4 + 4104963645/11675351*e^3 + 26908723471/11675351*e^2 - 2039507990/11675351*e - 890462059/11675351, 27777161/35026053*e^16 - 112055359/35026053*e^15 - 448369669/35026053*e^14 + 768040737/11675351*e^13 + 1955973086/35026053*e^12 - 18076413559/35026053*e^11 + 2821776232/35026053*e^10 + 22942477256/11675351*e^9 - 14572080706/11675351*e^8 - 131277612026/35026053*e^7 + 119156342807/35026053*e^6 + 112886717509/35026053*e^5 - 40489525926/11675351*e^4 - 29777748718/35026053*e^3 + 11726943872/11675351*e^2 + 342750101/11675351*e - 1425642034/35026053, 10230226/35026053*e^16 + 8653405/35026053*e^15 - 271109240/35026053*e^14 - 68746783/11675351*e^13 + 2836493584/35026053*e^12 + 1936527148/35026053*e^11 - 14840874346/35026053*e^10 - 2981949283/11675351*e^9 + 13500449106/11675351*e^8 + 20304955019/35026053*e^7 - 54133314509/35026053*e^6 - 18717601789/35026053*e^5 + 9371440938/11675351*e^4 + 2103518203/35026053*e^3 - 491701191/11675351*e^2 + 347200963/11675351*e - 17952422/35026053, -50833037/35026053*e^16 + 85975036/35026053*e^15 + 1155446428/35026053*e^14 - 599719877/11675351*e^13 - 10464937070/35026053*e^12 + 14400985663/35026053*e^11 + 48845419721/35026053*e^10 - 18691955821/11675351*e^9 - 41871730022/11675351*e^8 + 109869385112/35026053*e^7 + 174661172425/35026053*e^6 - 98379470284/35026053*e^5 - 39343655458/11675351*e^4 + 29443173451/35026053*e^3 + 9688079854/11675351*e^2 - 1135264216/11675351*e - 1231859429/35026053, -7130021/35026053*e^16 + 9152995/35026053*e^15 + 166546735/35026053*e^14 - 50720449/11675351*e^13 - 1580705819/35026053*e^12 + 728163637/35026053*e^11 + 7913837660/35026053*e^10 + 113090078/11675351*e^9 - 7391723783/11675351*e^8 - 12389771854/35026053*e^7 + 33064373179/35026053*e^6 + 35340142205/35026053*e^5 - 6979451598/11675351*e^4 - 34130421140/35026053*e^3 + 335985702/11675351*e^2 + 1825816534/11675351*e + 415702855/35026053, 60318943/35026053*e^16 - 9513974/35026053*e^15 - 1616195396/35026053*e^14 + 54823427/11675351*e^13 + 17497199464/35026053*e^12 - 793540238/35026053*e^11 - 98118761014/35026053*e^10 - 177410489/11675351*e^9 + 100861637209/11675351*e^8 + 13640420534/35026053*e^7 - 498397610954/35026053*e^6 - 34440777421/35026053*e^5 + 127147279486/11675351*e^4 + 26495839840/35026053*e^3 - 28683057438/11675351*e^2 + 384727800/11675351*e + 2534317789/35026053, -25136646/11675351*e^16 + 24741248/11675351*e^15 + 612858710/11675351*e^14 - 495418211/11675351*e^13 - 6053159116/11675351*e^12 + 3707772417/11675351*e^11 + 31255808026/11675351*e^10 - 13010731811/11675351*e^9 - 89768498741/11675351*e^8 + 21356398209/11675351*e^7 + 138897070746/11675351*e^6 - 12823500129/11675351*e^5 - 99347139455/11675351*e^4 - 410629460/11675351*e^3 + 18943110826/11675351*e^2 - 697406110/11675351*e - 180213540/11675351, 88403915/35026053*e^16 - 188198392/35026053*e^15 - 1916164141/35026053*e^14 + 1301182838/11675351*e^13 + 16245919274/35026053*e^12 - 30955213237/35026053*e^11 - 69229071557/35026053*e^10 + 39853382923/11675351*e^9 + 52134305611/11675351*e^8 - 233685395639/35026053*e^7 - 178871297485/35026053*e^6 + 212948985247/35026053*e^5 + 29321855802/11675351*e^4 - 69861768436/35026053*e^3 - 4094331431/11675351*e^2 + 2652304289/11675351*e + 78612152/35026053, -4520976/11675351*e^16 - 5451182/11675351*e^15 + 124986048/11675351*e^14 + 121447590/11675351*e^13 - 1387111444/11675351*e^12 - 1055917927/11675351*e^11 + 7887334440/11675351*e^10 + 4513815924/11675351*e^9 - 24302583987/11675351*e^8 - 9686914349/11675351*e^7 + 39141273128/11675351*e^6 + 9321779306/11675351*e^5 - 28119013349/11675351*e^4 - 2774132403/11675351*e^3 + 5136725896/11675351*e^2 - 55843037/11675351*e - 179838874/11675351, 60414688/35026053*e^16 - 69009593/35026053*e^15 - 1413068234/35026053*e^14 + 459982086/11675351*e^13 + 13234326754/35026053*e^12 - 10300498061/35026053*e^11 - 64045931479/35026053*e^10 + 12006267928/11675351*e^9 + 56930390164/11675351*e^8 - 59128389367/35026053*e^7 - 245504056946/35026053*e^6 + 36677911508/35026053*e^5 + 56542074534/11675351*e^4 - 56021207/35026053*e^3 - 13473117243/11675351*e^2 - 267343328/11675351*e + 2099185654/35026053, -22769625/11675351*e^16 + 14048667/11675351*e^15 + 573259679/11675351*e^14 - 281171521/11675351*e^13 - 5838735681/11675351*e^12 + 2082327425/11675351*e^11 + 30927549256/11675351*e^10 - 7090973377/11675351*e^9 - 90473061928/11675351*e^8 + 10811902219/11675351*e^7 + 141677179764/11675351*e^6 - 5064451607/11675351*e^5 - 102688415521/11675351*e^4 - 1129108781/11675351*e^3 + 21053543915/11675351*e^2 - 1085472013/11675351*e - 462392657/11675351, 42076774/35026053*e^16 - 1869461/35026053*e^15 - 1153129730/35026053*e^14 + 11727268/11675351*e^13 + 12766572793/35026053*e^12 - 133127432/35026053*e^11 - 73207371823/35026053*e^10 - 286587422/11675351*e^9 + 77021275594/11675351*e^8 + 7046220488/35026053*e^7 - 390086878340/35026053*e^6 - 15673462384/35026053*e^5 + 101862027717/11675351*e^4 + 9720153547/35026053*e^3 - 22815166850/11675351*e^2 + 1112799482/11675351*e + 1216805623/35026053, 62454644/35026053*e^16 - 100914247/35026053*e^15 - 1384648570/35026053*e^14 + 669855979/11675351*e^13 + 12152761457/35026053*e^12 - 14966916001/35026053*e^11 - 54553718231/35026053*e^10 + 17451334594/11675351*e^9 + 44466678176/11675351*e^8 - 85872260705/35026053*e^7 - 172795744930/35026053*e^6 + 51354774997/35026053*e^5 + 34669132853/11675351*e^4 + 4553593187/35026053*e^3 - 6553829876/11675351*e^2 - 1027850096/11675351*e + 1406288057/35026053, -35069300/35026053*e^16 - 40932758/35026053*e^15 + 1018212049/35026053*e^14 + 294433985/11675351*e^13 - 11765145155/35026053*e^12 - 7457147456/35026053*e^11 + 69249506213/35026053*e^10 + 10453931365/11675351*e^9 - 73641983739/11675351*e^8 - 67719096835/35026053*e^7 + 372657400333/35026053*e^6 + 67475883350/35026053*e^5 - 97409734251/11675351*e^4 - 20502202877/35026053*e^3 + 23786883278/11675351*e^2 - 700158986/11675351*e - 2407234304/35026053, -43760753/35026053*e^16 + 64993654/35026053*e^15 + 1003197241/35026053*e^14 - 435055402/11675351*e^13 - 9213796622/35026053*e^12 + 9825085813/35026053*e^11 + 43890715607/35026053*e^10 - 11578938817/11675351*e^9 - 38549900198/11675351*e^8 + 56957429879/35026053*e^7 + 163330230451/35026053*e^6 - 31352692396/35026053*e^5 - 35080275778/11675351*e^4 - 6784349318/35026053*e^3 + 5274764909/11675351*e^2 - 225446546/11675351*e + 798063406/35026053, -75343730/35026053*e^16 + 133788484/35026053*e^15 + 1647089449/35026053*e^14 - 897978926/11675351*e^13 - 14107772240/35026053*e^12 + 20393831317/35026053*e^11 + 60730365530/35026053*e^10 - 24366415512/11675351*e^9 - 46039746983/11675351*e^8 + 125084831810/35026053*e^7 + 157358769967/35026053*e^6 - 83818500376/35026053*e^5 - 24998760980/11675351*e^4 + 2499672745/35026053*e^3 + 3081717888/11675351*e^2 + 1076388948/11675351*e - 77458085/35026053, -56231695/35026053*e^16 + 62038205/35026053*e^15 + 1349537978/35026053*e^14 - 414057905/11675351*e^13 - 13081273801/35026053*e^12 + 9327583736/35026053*e^11 + 66123270553/35026053*e^10 - 11049850956/11675351*e^9 - 61845887451/11675351*e^8 + 56740692883/35026053*e^7 + 280340633894/35026053*e^6 - 40268613707/35026053*e^5 - 65698957350/11675351*e^4 + 6003377966/35026053*e^3 + 13025818580/11675351*e^2 - 358463063/11675351*e - 531323920/35026053, -22204720/11675351*e^16 + 11790228/11675351*e^15 + 568609222/11675351*e^14 - 242844351/11675351*e^13 - 5889579100/11675351*e^12 + 1893283579/11675351*e^11 + 31703397953/11675351*e^10 - 7152524233/11675351*e^9 - 94283860618/11675351*e^8 + 13979229722/11675351*e^7 + 150773094019/11675351*e^6 - 14365244673/11675351*e^5 - 113580825824/11675351*e^4 + 8348927001/11675351*e^3 + 26435543058/11675351*e^2 - 3368318110/11675351*e - 671735347/11675351, 32059403/35026053*e^16 - 83919622/35026053*e^15 - 637197184/35026053*e^14 + 561325558/11675351*e^13 + 4727911400/35026053*e^12 - 12714963634/35026053*e^11 - 16197591533/35026053*e^10 + 15165098293/11675351*e^9 + 7924557223/11675351*e^8 - 77594611946/35026053*e^7 - 4154806303/35026053*e^6 + 51023463157/35026053*e^5 - 5970190867/11675351*e^4 - 62811697/35026053*e^3 + 2454564674/11675351*e^2 - 838451955/11675351*e - 447465160/35026053, 18198715/35026053*e^16 - 36652934/35026053*e^15 - 416407244/35026053*e^14 + 251389561/11675351*e^13 + 3877842235/35026053*e^12 - 5874867443/35026053*e^11 - 19306023544/35026053*e^10 + 7250066522/11675351*e^9 + 18554036421/11675351*e^8 - 38031211129/35026053*e^7 - 91304342468/35026053*e^6 + 23772593123/35026053*e^5 + 24775520520/11675351*e^4 + 3544196395/35026053*e^3 - 6570153533/11675351*e^2 - 601903113/11675351*e + 1562525656/35026053, 20665545/11675351*e^16 - 32145283/11675351*e^15 - 471775968/11675351*e^14 + 640737782/11675351*e^13 + 4304691545/11675351*e^12 - 4765068811/11675351*e^11 - 20320476448/11675351*e^10 + 16490469165/11675351*e^9 + 52970999981/11675351*e^8 - 25917518315/11675351*e^7 - 74206799734/11675351*e^6 + 12313618783/11675351*e^5 + 48432734286/11675351*e^4 + 5355516044/11675351*e^3 - 8845206016/11675351*e^2 - 1089895542/11675351*e + 308183935/11675351, 10995358/11675351*e^16 - 10976914/11675351*e^15 - 255613007/11675351*e^14 + 206056612/11675351*e^13 + 2377178973/11675351*e^12 - 1389272349/11675351*e^11 - 11393963027/11675351*e^10 + 4046002870/11675351*e^9 + 29850512865/11675351*e^8 - 4173018146/11675351*e^7 - 41267715778/11675351*e^6 - 1955193069/11675351*e^5 + 26006712052/11675351*e^4 + 5366941425/11675351*e^3 - 4818383651/11675351*e^2 - 1493127349/11675351*e + 116446425/11675351, 11009592/11675351*e^16 - 291497/11675351*e^15 - 293839504/11675351*e^14 - 4901585/11675351*e^13 + 3176310412/11675351*e^12 + 197269724/11675351*e^11 - 17832934291/11675351*e^10 - 1854161571/11675351*e^9 + 55188953291/11675351*e^8 + 7599761632/11675351*e^7 - 91219831132/11675351*e^6 - 14606240001/11675351*e^5 + 69402970189/11675351*e^4 + 11362537018/11675351*e^3 - 14757175482/11675351*e^2 - 1149625566/11675351*e + 662652600/11675351, -4018672/11675351*e^16 + 12596202/11675351*e^15 + 76972718/11675351*e^14 - 251119408/11675351*e^13 - 550008903/11675351*e^12 + 1897182211/11675351*e^11 + 1863706865/11675351*e^10 - 6936214868/11675351*e^9 - 3075327051/11675351*e^8 + 12807265817/11675351*e^7 + 2139955990/11675351*e^6 - 11137703774/11675351*e^5 - 173450371/11675351*e^4 + 3628096918/11675351*e^3 - 339229399/11675351*e^2 - 333511079/11675351*e + 97608483/11675351, -41025333/11675351*e^16 + 58960098/11675351*e^15 + 949664373/11675351*e^14 - 1208878083/11675351*e^13 - 8791985640/11675351*e^12 + 9386585082/11675351*e^11 + 42038563744/11675351*e^10 - 34907334294/11675351*e^9 - 110619164117/11675351*e^8 + 63404572158/11675351*e^7 + 155931327462/11675351*e^6 - 48389839852/11675351*e^5 - 103140845945/11675351*e^4 + 7059222662/11675351*e^3 + 21139525168/11675351*e^2 + 262355629/11675351*e - 879364005/11675351, -6202378/35026053*e^16 + 191462576/35026053*e^15 - 249841234/35026053*e^14 - 1346199040/11675351*e^13 + 6689964476/35026053*e^12 + 32871963410/35026053*e^11 - 55717695728/35026053*e^10 - 43834813815/11675351*e^9 + 71723438855/11675351*e^8 + 267033791854/35026053*e^7 - 408129059215/35026053*e^6 - 247309992404/35026053*e^5 + 115128138977/11675351*e^4 + 68735404220/35026053*e^3 - 29476531336/11675351*e^2 + 887002468/11675351*e + 2656202852/35026053, -105135466/35026053*e^16 + 198261935/35026053*e^15 + 2318800646/35026053*e^14 - 1357458484/11675351*e^13 - 20186194417/35026053*e^12 + 31770952742/35026053*e^11 + 89576553379/35026053*e^10 - 39760839511/11675351*e^9 - 71995129012/11675351*e^8 + 220588974160/35026053*e^7 + 276658567793/35026053*e^6 - 175216683071/35026053*e^5 - 56450929598/11675351*e^4 + 31646643386/35026053*e^3 + 12649026259/11675351*e^2 + 207022840/11675351*e - 1936103335/35026053, -24623341/35026053*e^16 + 30402329/35026053*e^15 + 586849577/35026053*e^14 - 200988841/11675351*e^13 - 5687239267/35026053*e^12 + 4415978939/35026053*e^11 + 29097069571/35026053*e^10 - 4857619890/11675351*e^9 - 28026528019/11675351*e^8 + 18863435290/35026053*e^7 + 133518302288/35026053*e^6 + 3712377526/35026053*e^5 - 33555827953/11675351*e^4 - 22440099517/35026053*e^3 + 7467640826/11675351*e^2 + 1632311330/11675351*e - 1175429383/35026053, 50704574/35026053*e^16 - 104217121/35026053*e^15 - 1090512445/35026053*e^14 + 718374716/11675351*e^13 + 9149226962/35026053*e^12 - 17060613961/35026053*e^11 - 38417988041/35026053*e^10 + 22048875989/11675351*e^9 + 28277591086/11675351*e^8 - 131862320600/35026053*e^7 - 92892594919/35026053*e^6 + 128391469573/35026053*e^5 + 13513881744/11675351*e^4 - 52458251176/35026053*e^3 - 993005493/11675351*e^2 + 2689626038/11675351*e + 181527296/35026053, 8054711/11675351*e^16 - 52511872/11675351*e^15 - 94328995/11675351*e^14 + 1095734631/11675351*e^13 - 164444506/11675351*e^12 - 8809424879/11675351*e^11 + 6517388443/11675351*e^10 + 34909657862/11675351*e^9 - 34131795055/11675351*e^8 - 71248123648/11675351*e^7 + 74796349902/11675351*e^6 + 69599405646/11675351*e^5 - 68908949862/11675351*e^4 - 24908527276/11675351*e^3 + 18483797387/11675351*e^2 + 972231133/11675351*e - 827455410/11675351, 67793578/35026053*e^16 - 78237392/35026053*e^15 - 1585671569/35026053*e^14 + 512459043/11675351*e^13 + 14841656329/35026053*e^12 - 11134233809/35026053*e^11 - 71594694376/35026053*e^10 + 12198885365/11675351*e^9 + 62915134537/11675351*e^8 - 50573430910/35026053*e^7 - 262061443100/35026053*e^6 + 8667215732/35026053*e^5 + 54254209115/11675351*e^4 + 29317994548/35026053*e^3 - 8002911556/11675351*e^2 - 2047037780/11675351*e + 159256195/35026053, -11007717/11675351*e^16 - 13300746/11675351*e^15 + 330524111/11675351*e^14 + 266958195/11675351*e^13 - 3916751667/11675351*e^12 - 2051771094/11675351*e^11 + 23489976560/11675351*e^10 + 7708266231/11675351*e^9 - 76001274247/11675351*e^8 - 14588983588/11675351*e^7 + 129329179826/11675351*e^6 + 12142263855/11675351*e^5 - 100833207061/11675351*e^4 - 1639805926/11675351*e^3 + 22712008043/11675351*e^2 - 2017247707/11675351*e - 615615847/11675351, -77111432/35026053*e^16 - 26133989/35026053*e^15 + 2138981473/35026053*e^14 + 189936246/11675351*e^13 - 23899738586/35026053*e^12 - 5020622753/35026053*e^11 + 137789191754/35026053*e^10 + 7676443933/11675351*e^9 - 145211499836/11675351*e^8 - 57376566397/35026053*e^7 + 734742684076/35026053*e^6 + 71969212925/35026053*e^5 - 192075406932/11675351*e^4 - 33449694776/35026053*e^3 + 44797801977/11675351*e^2 - 1365468943/11675351*e - 4336317188/35026053, 67368122/35026053*e^16 - 88041175/35026053*e^15 - 1539528028/35026053*e^14 + 573280370/11675351*e^13 + 14037882434/35026053*e^12 - 12394883767/35026053*e^11 - 65960886023/35026053*e^10 + 13615022773/11675351*e^9 + 56711545677/11675351*e^8 - 58837217516/35026053*e^7 - 234797916562/35026053*e^6 + 20448424687/35026053*e^5 + 51181497199/11675351*e^4 + 17732994902/35026053*e^3 - 11161458931/11675351*e^2 - 1224089765/11675351*e + 1285685990/35026053, -66859603/35026053*e^16 + 57890243/35026053*e^15 + 1600627100/35026053*e^14 - 367503273/11675351*e^13 - 15399327817/35026053*e^12 + 7602496643/35026053*e^11 + 76651757392/35026053*e^10 - 7712679778/11675351*e^9 - 69866548852/11675351*e^8 + 28073434402/35026053*e^7 + 305180773694/35026053*e^6 - 2200874768/35026053*e^5 - 68551029326/11675351*e^4 - 12845104117/35026053*e^3 + 13531505925/11675351*e^2 + 173192330/11675351*e - 1216722964/35026053, -36598538/35026053*e^16 + 72729745/35026053*e^15 + 816863755/35026053*e^14 - 503914238/11675351*e^13 - 7280478200/35026053*e^12 + 11936314159/35026053*e^11 + 33744270248/35026053*e^10 - 15017402760/11675351*e^9 - 29213104320/11675351*e^8 + 81418746380/35026053*e^7 + 125592265876/35026053*e^6 - 55812656140/35026053*e^5 - 29183330287/11675351*e^4 - 1647043265/35026053*e^3 + 6584713287/11675351*e^2 + 357638146/11675351*e - 1549093061/35026053, -22189925/35026053*e^16 + 31784128/35026053*e^15 + 525312157/35026053*e^14 - 220527138/11675351*e^13 - 5044668848/35026053*e^12 + 5219212015/35026053*e^11 + 25495203749/35026053*e^10 - 6518818114/11675351*e^9 - 24147919876/11675351*e^8 + 34296088982/35026053*e^7 + 112111623397/35026053*e^6 - 20167299841/35026053*e^5 - 26742525084/11675351*e^4 - 5437322147/35026053*e^3 + 4777086238/11675351*e^2 + 340485000/11675351*e - 804243083/35026053, 39178129/35026053*e^16 - 135325277/35026053*e^15 - 735556898/35026053*e^14 + 936735915/11675351*e^13 + 4918283446/35026053*e^12 - 22305112292/35026053*e^11 - 13357785232/35026053*e^10 + 28612396124/11675351*e^9 + 2001539419/11675351*e^8 - 163971228235/35026053*e^7 + 36478000030/35026053*e^6 + 135346400297/35026053*e^5 - 19572129530/11675351*e^4 - 24532385165/35026053*e^3 + 7694330426/11675351*e^2 - 1101234342/11675351*e - 1124661158/35026053, 35162905/35026053*e^16 - 29638247/35026053*e^15 - 850851935/35026053*e^14 + 188284466/11675351*e^13 + 8331328582/35026053*e^12 - 3945168083/35026053*e^11 - 42639444904/35026053*e^10 + 4224408744/11675351*e^9 + 40586496811/11675351*e^8 - 19146660091/35026053*e^7 - 190308551558/35026053*e^6 + 12932882033/35026053*e^5 + 48876827457/11675351*e^4 - 4727044085/35026053*e^3 - 13872920147/11675351*e^2 + 821500387/11675351*e + 1922589547/35026053, 6574145/11675351*e^16 + 9205556/11675351*e^15 - 198842544/11675351*e^14 - 178245738/11675351*e^13 + 2362632761/11675351*e^12 + 1278794272/11675351*e^11 - 14156189411/11675351*e^10 - 4143410633/11675351*e^9 + 45699268619/11675351*e^8 + 5146430720/11675351*e^7 - 77856314530/11675351*e^6 + 1918266109/11675351*e^5 + 61795298352/11675351*e^4 - 8073806648/11675351*e^3 - 15262224529/11675351*e^2 + 2857285403/11675351*e + 262137973/11675351, -85575796/35026053*e^16 + 122159243/35026053*e^15 + 2003653646/35026053*e^14 - 841217444/11675351*e^13 - 18827943280/35026053*e^12 + 19875244763/35026053*e^11 + 91733364445/35026053*e^10 - 25339948921/11675351*e^9 - 82329352466/11675351*e^8 + 146983563457/35026053*e^7 + 357399206987/35026053*e^6 - 133328223896/35026053*e^5 - 80490525763/11675351*e^4 + 45997784009/35026053*e^3 + 15522922787/11675351*e^2 - 2878454692/11675351*e - 434006401/35026053, -110567464/35026053*e^16 + 196547843/35026053*e^15 + 2479415708/35026053*e^14 - 1355334868/11675351*e^13 - 22054090360/35026053*e^12 + 32090897297/35026053*e^11 + 100496158792/35026053*e^10 - 40999815948/11675351*e^9 - 83294733412/11675351*e^8 + 237500264305/35026053*e^7 + 329735658518/35026053*e^6 - 212050015214/35026053*e^5 - 67349679073/11675351*e^4 + 67074959459/35026053*e^3 + 12351082042/11675351*e^2 - 2785306368/11675351*e - 270701992/35026053, 9910734/11675351*e^16 - 35768372/11675351*e^15 - 190893444/11675351*e^14 + 752883211/11675351*e^13 + 1352712314/11675351*e^12 - 6094509104/11675351*e^11 - 4348533494/11675351*e^10 + 24150762407/11675351*e^9 + 5909094708/11675351*e^8 - 48461933278/11675351*e^7 - 1268493177/11675351*e^6 + 44686467620/11675351*e^5 - 2687784544/11675351*e^4 - 13662769082/11675351*e^3 + 874168601/11675351*e^2 + 1115182706/11675351*e - 207987976/11675351, -23167822/11675351*e^16 + 45513611/11675351*e^15 + 482327160/11675351*e^14 - 895924839/11675351*e^13 - 3852558904/11675351*e^12 + 6547500091/11675351*e^11 + 14970183698/11675351*e^10 - 22107401247/11675351*e^9 - 28844225033/11675351*e^8 + 33307269626/11675351*e^7 + 23435924155/11675351*e^6 - 13466648416/11675351*e^5 - 2572357732/11675351*e^4 - 9472427135/11675351*e^3 - 2128936751/11675351*e^2 + 2725455869/11675351*e - 161849449/11675351, 4693457/11675351*e^16 - 2123264/11675351*e^15 - 130104734/11675351*e^14 + 56644387/11675351*e^13 + 1454363984/11675351*e^12 - 565361042/11675351*e^11 - 8408832248/11675351*e^10 + 2636943921/11675351*e^9 + 26754969378/11675351*e^8 - 5800282075/11675351*e^7 - 45529166814/11675351*e^6 + 5123506568/11675351*e^5 + 35791548794/11675351*e^4 - 1226806639/11675351*e^3 - 7776390171/11675351*e^2 + 1067782331/11675351*e + 211658973/11675351, -125210188/35026053*e^16 + 204024140/35026053*e^15 + 2899160300/35026053*e^14 - 1426186379/11675351*e^13 - 26884480150/35026053*e^12 + 34380818390/35026053*e^11 + 129130188847/35026053*e^10 - 44959123963/11675351*e^9 - 114348367865/11675351*e^8 + 268654055383/35026053*e^7 + 491995874849/35026053*e^6 - 251222844500/35026053*e^5 - 111516487716/11675351*e^4 + 86996193110/35026053*e^3 + 23617573452/11675351*e^2 - 3998914474/11675351*e - 2066397871/35026053, -20485798/11675351*e^16 - 1089731/11675351*e^15 + 552701064/11675351*e^14 + 40654971/11675351*e^13 - 6023604592/11675351*e^12 - 567909201/11675351*e^11 + 33983323976/11675351*e^10 + 3746269855/11675351*e^9 - 105358991018/11675351*e^8 - 12288066009/11675351*e^7 + 174263979167/11675351*e^6 + 19217768612/11675351*e^5 - 133378046381/11675351*e^4 - 11693605853/11675351*e^3 + 29246200251/11675351*e^2 + 386064972/11675351*e - 797709044/11675351, 27334881/11675351*e^16 - 50691111/11675351*e^15 - 599112713/11675351*e^14 + 1027294861/11675351*e^13 + 5163659146/11675351*e^12 - 7859086614/11675351*e^11 - 22535649626/11675351*e^10 + 28656057850/11675351*e^9 + 52741441306/11675351*e^8 - 50487944620/11675351*e^7 - 63778326431/11675351*e^6 + 35922166730/11675351*e^5 + 34687669526/11675351*e^4 - 2238939505/11675351*e^3 - 6080107010/11675351*e^2 - 2014989251/11675351*e + 316422900/11675351, 8563910/11675351*e^16 - 5927069/11675351*e^15 - 202123383/11675351*e^14 + 116424595/11675351*e^13 + 1896700050/11675351*e^12 - 837761217/11675351*e^11 - 9078033324/11675351*e^10 + 2745234341/11675351*e^9 + 23576651761/11675351*e^8 - 4047858462/11675351*e^7 - 32942074798/11675351*e^6 + 2120439989/11675351*e^5 + 23971718662/11675351*e^4 + 133135268/11675351*e^3 - 8736554976/11675351*e^2 - 368796486/11675351*e + 636786979/11675351, -64960936/35026053*e^16 + 128474783/35026053*e^15 + 1462852319/35026053*e^14 - 900923171/11675351*e^13 - 13131696631/35026053*e^12 + 21775593269/35026053*e^11 + 60905411212/35026053*e^10 - 28412516391/11675351*e^9 - 52006615068/11675351*e^8 + 166352272966/35026053*e^7 + 214385333591/35026053*e^6 - 142761293717/35026053*e^5 - 44711903577/11675351*e^4 + 32327788796/35026053*e^3 + 6102046358/11675351*e^2 - 392415250/11675351*e + 593280671/35026053, 176674577/35026053*e^16 - 220402558/35026053*e^15 - 4167596989/35026053*e^14 + 1486052890/11675351*e^13 + 39487906712/35026053*e^12 - 33923572699/35026053*e^11 - 193959129041/35026053*e^10 + 40818965186/11675351*e^9 + 175251178759/11675351*e^8 - 212819336747/35026053*e^7 - 763819757398/35026053*e^6 + 151501941352/35026053*e^5 + 172079348594/11675351*e^4 - 19158892618/35026053*e^3 - 33350357983/11675351*e^2 + 836752852/11675351*e + 1963133960/35026053, 268701/11675351*e^16 - 13382049/11675351*e^15 + 19250923/11675351*e^14 + 282301891/11675351*e^13 - 461059042/11675351*e^12 - 2280335351/11675351*e^11 + 3727822090/11675351*e^10 + 8872158263/11675351*e^9 - 14172601855/11675351*e^8 - 16617606301/11675351*e^7 + 26737669123/11675351*e^6 + 11750728206/11675351*e^5 - 23265476927/11675351*e^4 + 764287235/11675351*e^3 + 7206976546/11675351*e^2 - 884596406/11675351*e - 555940672/11675351, -20681506/35026053*e^16 + 62398589/35026053*e^15 + 418702274/35026053*e^14 - 443535384/11675351*e^13 - 3239565616/35026053*e^12 + 10968787916/35026053*e^11 + 12276451831/35026053*e^10 - 14865798818/11675351*e^9 - 7974254209/11675351*e^8 + 92778370642/35026053*e^7 + 22371876467/35026053*e^6 - 89963469050/35026053*e^5 - 2350762066/11675351*e^4 + 28696510076/35026053*e^3 - 490174419/11675351*e^2 + 49420356/11675351*e + 591008354/35026053, 38610684/11675351*e^16 - 61538816/11675351*e^15 - 881601425/11675351*e^14 + 1272852494/11675351*e^13 + 8025794357/11675351*e^12 - 10052154768/11675351*e^11 - 37638094491/11675351*e^10 + 38670081344/11675351*e^9 + 96986104712/11675351*e^8 - 75638632977/11675351*e^7 - 134113039371/11675351*e^6 + 70301383885/11675351*e^5 + 88175751713/11675351*e^4 - 25223694742/11675351*e^3 - 18879610409/11675351*e^2 + 3447164215/11675351*e + 542618690/11675351, 51358546/35026053*e^16 - 194487599/35026053*e^15 - 924954938/35026053*e^14 + 1345044386/11675351*e^13 + 5639542897/35026053*e^12 - 32062723238/35026053*e^11 - 11217445843/35026053*e^10 + 41402669116/11675351*e^9 - 5161668314/11675351*e^8 - 242596613110/35026053*e^7 + 88788462121/35026053*e^6 + 216138096275/35026053*e^5 - 34141670100/11675351*e^4 - 61408371665/35026053*e^3 + 8855705834/11675351*e^2 + 1081344381/11675351*e - 656103359/35026053, 1891180/11675351*e^16 - 43988097/11675351*e^15 + 58741156/11675351*e^14 + 907743516/11675351*e^13 - 1712047982/11675351*e^12 - 7198008947/11675351*e^11 + 14756905379/11675351*e^10 + 28074733874/11675351*e^9 - 58798710122/11675351*e^8 - 56391605001/11675351*e^7 + 115131858980/11675351*e^6 + 54566054312/11675351*e^5 - 99740637041/11675351*e^4 - 19834360450/11675351*e^3 + 24767004393/11675351*e^2 + 649646513/11675351*e - 1096704501/11675351, -33608142/11675351*e^16 + 50533284/11675351*e^15 + 785385644/11675351*e^14 - 1052586994/11675351*e^13 - 7347415050/11675351*e^12 + 8368699480/11675351*e^11 + 35518716932/11675351*e^10 - 32277043232/11675351*e^9 - 94544242719/11675351*e^8 + 62480744421/11675351*e^7 + 134948269936/11675351*e^6 - 55236891996/11675351*e^5 - 90320733140/11675351*e^4 + 16412729752/11675351*e^3 + 18057441603/11675351*e^2 - 2070295378/11675351*e - 262696009/11675351, 13476752/11675351*e^16 - 45251096/11675351*e^15 - 256727751/11675351*e^14 + 939341888/11675351*e^13 + 1755164422/11675351*e^12 - 7459201616/11675351*e^11 - 4973181783/11675351*e^10 + 28800511180/11675351*e^9 + 3040132578/11675351*e^8 - 55752546597/11675351*e^7 + 11326513006/11675351*e^6 + 48504701515/11675351*e^5 - 18971765257/11675351*e^4 - 12470196651/11675351*e^3 + 7115355657/11675351*e^2 + 120872367/11675351*e - 580234957/11675351, 5832939/11675351*e^16 - 14043723/11675351*e^15 - 121435160/11675351*e^14 + 286920323/11675351*e^13 + 960974627/11675351*e^12 - 2194430216/11675351*e^11 - 3619057033/11675351*e^10 + 7752744139/11675351*e^9 + 6378017578/11675351*e^8 - 11792293388/11675351*e^7 - 3663332310/11675351*e^6 + 2688232728/11675351*e^5 - 1610838008/11675351*e^4 + 7772540429/11675351*e^3 + 1222053174/11675351*e^2 - 2340459683/11675351*e - 120318668/11675351, -27298523/35026053*e^16 + 74923792/35026053*e^15 + 575966707/35026053*e^14 - 519770834/11675351*e^13 - 4742597789/35026053*e^12 + 12393112516/35026053*e^11 + 19758574379/35026053*e^10 - 15860846047/11675351*e^9 - 14881814622/11675351*e^8 + 89725299515/35026053*e^7 + 53612262175/35026053*e^6 - 70418505517/35026053*e^5 - 9987957113/11675351*e^4 + 8634202105/35026053*e^3 + 1819062962/11675351*e^2 + 414143345/11675351*e - 896751332/35026053, -45070850/35026053*e^16 + 53140303/35026053*e^15 + 1086984682/35026053*e^14 - 359988258/11675351*e^13 - 10617640004/35026053*e^12 + 8206198492/35026053*e^11 + 54312062792/35026053*e^10 - 9644990703/11675351*e^9 - 51716933321/11675351*e^8 + 45231169529/35026053*e^7 + 240522106249/35026053*e^6 - 16594027855/35026053*e^5 - 58449435891/11675351*e^4 - 18759463319/35026053*e^3 + 12557246478/11675351*e^2 + 1468381452/11675351*e - 1699382468/35026053, 26128388/35026053*e^16 - 55800757/35026053*e^15 - 535864096/35026053*e^14 + 385288427/11675351*e^13 + 4132889423/35026053*e^12 - 9119950708/35026053*e^11 - 14775615422/35026053*e^10 + 11612368490/11675351*e^9 + 7540264183/11675351*e^8 - 66643814273/35026053*e^7 - 3810516088/35026053*e^6 + 58455721315/35026053*e^5 - 6533825340/11675351*e^4 - 17847762112/35026053*e^3 + 2990038837/11675351*e^2 + 332934963/11675351*e - 336131962/35026053, 69470162/35026053*e^16 - 78320095/35026053*e^15 - 1648046803/35026053*e^14 + 516703512/11675351*e^13 + 15718569845/35026053*e^12 - 11413744705/35026053*e^11 - 77743610528/35026053*e^10 + 13037004197/11675351*e^9 + 70691600818/11675351*e^8 - 61781903594/35026053*e^7 - 309780841708/35026053*e^6 + 33789491575/35026053*e^5 + 70503447080/11675351*e^4 + 4288387901/35026053*e^3 - 14961302203/11675351*e^2 + 215135667/11675351*e + 2659744136/35026053, 12711203/11675351*e^16 + 3984577/11675351*e^15 - 353741206/11675351*e^14 - 83900878/11675351*e^13 + 3956352984/11675351*e^12 + 716980005/11675351*e^11 - 22781867362/11675351*e^10 - 3240012741/11675351*e^9 + 71844405225/11675351*e^8 + 8096590309/11675351*e^7 - 120981979044/11675351*e^6 - 10245712604/11675351*e^5 + 95474340870/11675351*e^4 + 4585876451/11675351*e^3 - 23250468528/11675351*e^2 + 994545150/11675351*e + 715027077/11675351, 30213173/11675351*e^16 - 75611507/11675351*e^15 - 623797632/11675351*e^14 + 1558734944/11675351*e^13 + 4935754457/11675351*e^12 - 12247026619/11675351*e^11 - 19058007736/11675351*e^10 + 46550574972/11675351*e^9 + 37069304587/11675351*e^8 - 87873114702/11675351*e^7 - 32489853965/11675351*e^6 + 72499986298/11675351*e^5 + 7930608847/11675351*e^4 - 14751497097/11675351*e^3 + 897950561/11675351*e^2 - 937872264/11675351*e + 10931343/11675351, 7708895/11675351*e^16 - 13718295/11675351*e^15 - 185155428/11675351*e^14 + 287460690/11675351*e^13 + 1833841171/11675351*e^12 - 2321626681/11675351*e^11 - 9790193055/11675351*e^10 + 9243745544/11675351*e^9 + 30252312916/11675351*e^8 - 18928346602/11675351*e^7 - 52754394376/11675351*e^6 + 18442039707/11675351*e^5 + 45462049517/11675351*e^4 - 6775754333/11675351*e^3 - 13404445617/11675351*e^2 + 1181929357/11675351*e + 770985384/11675351, -45241161/11675351*e^16 + 37574037/11675351*e^15 + 1110804239/11675351*e^14 - 748194024/11675351*e^13 - 11022821620/11675351*e^12 + 5515968448/11675351*e^11 + 56947248770/11675351*e^10 - 18660793326/11675351*e^9 - 162873079575/11675351*e^8 + 27729999047/11675351*e^7 + 250175744586/11675351*e^6 - 10156087706/11675351*e^5 - 178302044100/11675351*e^4 - 7977836329/11675351*e^3 + 35213187682/11675351*e^2 - 302060912/11675351*e - 434570287/11675351, 74108245/35026053*e^16 - 116039423/35026053*e^15 - 1702776782/35026053*e^14 + 792971251/11675351*e^13 + 15616400926/35026053*e^12 - 18463301951/35026053*e^11 - 73842945643/35026053*e^10 + 22824630291/11675351*e^9 + 63985535015/11675351*e^8 - 122958843346/35026053*e^7 - 267669606953/35026053*e^6 + 89200121774/35026053*e^5 + 58985739525/11675351*e^4 - 6558795902/35026053*e^3 - 12795835392/11675351*e^2 - 667335735/11675351*e + 2002511050/35026053, 31633394/35026053*e^16 - 79465198/35026053*e^15 - 638792173/35026053*e^14 + 546735027/11675351*e^13 + 4815703484/35026053*e^12 - 12854917006/35026053*e^11 - 16564990517/35026053*e^10 + 16096997845/11675351*e^9 + 7564408340/11675351*e^8 - 87994678298/35026053*e^7 + 5239470941/35026053*e^6 + 64532733634/35026053*e^5 - 12249070209/11675351*e^4 - 3452422684/35026053*e^3 + 6292986450/11675351*e^2 - 1276848381/11675351*e - 463469293/35026053, -58678430/35026053*e^16 + 127213696/35026053*e^15 + 1261531000/35026053*e^14 - 875769864/11675351*e^13 - 10559293967/35026053*e^12 + 20738617024/35026053*e^11 + 44096331608/35026053*e^10 - 26609955378/11675351*e^9 - 32167298939/11675351*e^8 + 156418260563/35026053*e^7 + 105517669558/35026053*e^6 - 145739812270/35026053*e^5 - 17200987439/11675351*e^4 + 51668788597/35026053*e^3 + 4188079330/11675351*e^2 - 1592265646/11675351*e - 1344782225/35026053, -45993340/35026053*e^16 + 39142370/35026053*e^15 + 1144830497/35026053*e^14 - 284286895/11675351*e^13 - 11498025232/35026053*e^12 + 7158450761/35026053*e^11 + 59949445399/35026053*e^10 - 9848031394/11675351*e^9 - 57560341822/11675351*e^8 + 62817480745/35026053*e^7 + 267339290555/35026053*e^6 - 65118061097/35026053*e^5 - 64507710813/11675351*e^4 + 28485298043/35026053*e^3 + 13473299828/11675351*e^2 - 2087510039/11675351*e - 565232731/35026053];
heckeEigenvalues := AssociativeArray();
for i := 1 to #heckeEigenvaluesArray do
  heckeEigenvalues[primes[i]] := heckeEigenvaluesArray[i];
end for;

ALEigenvalues := AssociativeArray();
ALEigenvalues[ideal<ZF | {11, 11, w + 1}>] := 1;

// EXAMPLE:
// pp := Factorization(2*ZF)[1][1];
// heckeEigenvalues[pp];

print "To reconstruct the Hilbert newform f, type
  f, iso := Explode(make_newform());";

function make_newform();
 M := HilbertCuspForms(F, NN);
 S := NewSubspace(M);
 // SetVerbose("ModFrmHil", 1);
 NFD := NewformDecomposition(S);
 newforms := [* Eigenform(U) : U in NFD *];

 if #newforms eq 0 then;
  print "No Hilbert newforms at this level";
  return 0;
 end if;

 print "Testing ", #newforms, " possible newforms";
 newforms := [* f: f in newforms | IsIsomorphic(BaseField(f), K) *];
 print #newforms, " newforms have the correct Hecke field";

 if #newforms eq 0 then;
  print "No Hilbert newform found with the correct Hecke field";
  return 0;
 end if;

 autos := Automorphisms(K);
 xnewforms := [* *];
 for f in newforms do;
  if K eq RationalField() then;
   Append(~xnewforms, [* f, autos[1] *]);
  else;
   flag, iso := IsIsomorphic(K,BaseField(f));
   for a in autos do;
    Append(~xnewforms, [* f, a*iso *]);
   end for;
  end if;
 end for;
 newforms := xnewforms;

 for P in primes do;
  xnewforms := [* *];
  for f_iso in newforms do;
   f, iso := Explode(f_iso);
   if HeckeEigenvalue(f,P) eq iso(heckeEigenvalues[P]) then;
    Append(~xnewforms, f_iso);
   end if;
  end for;
  newforms := xnewforms;
  if #newforms eq 0 then;
   print "No Hilbert newform found which matches the Hecke eigenvalues";
   return 0;
  else if #newforms eq 1 then;
   print "success: unique match";
   return newforms[1];
  end if;
  end if;
 end for;
 print #newforms, "Hilbert newforms found which match the Hecke eigenvalues";
 return newforms[1];

end function;