4:
x^4 - 2*x^3 + x^2 - 1/30
5:
x^5 - 5/2*x^4 + 5/3*x^3 - 1/6*x
6:
x^6 - 3*x^5 + 5/2*x^4 - 1/2*x^2 + 1/42
7:
x^7 - 7/2*x^6 + 7/2*x^5 - 7/6*x^3 + 1/6*x
8:
x^8 - 4*x^7 + 14/3*x^6 - 7/3*x^4 + 2/3*x^2 - 1/30
9:
x^9 - 9/2*x^8 + 6*x^7 - 21/5*x^5 + 2*x^3 - 3/10*x
10:
x^10 - 5*x^9 + 15/2*x^8 - 7*x^6 + 5*x^4 - 3/2*x^2 + 5/66
11:
x^11 - 11/2*x^10 + 55/6*x^9 - 11*x^7 + 11*x^5 - 11/2*x^3 + 5/6*x
12:
x^12 - 6*x^11 + 11*x^10 - 33/2*x^8 + 22*x^6 - 33/2*x^4 + 5*x^2 - 691/2730
13:
x^13 - 13/2*x^12 + 13*x^11 - 143/6*x^9 + 286/7*x^7 - 429/10*x^5 + 65/3*x^3 - 691/210*x
14:
x^14 - 7*x^13 + 91/6*x^12 - 1001/30*x^10 + 143/2*x^8 - 1001/10*x^6 + 455/6*x^4 - 691/30*x^2 + 7/6
15:
x^15 - 15/2*x^14 + 35/2*x^13 - 91/2*x^11 + 715/6*x^9 - 429/2*x^7 + 455/2*x^5 - 691/6*x^3 + 35/2*x
16:
x^16 - 8*x^15 + 20*x^14 - 182/3*x^12 + 572/3*x^10 - 429*x^8 + 1820/3*x^6 - 1382/3*x^4 + 140*x^2 - 3617/510
17:
x^17 - 17/2*x^16 + 68/3*x^15 - 238/3*x^13 + 884/3*x^11 - 2431/3*x^9 + 4420/3*x^7 - 23494/15*x^5 + 2380/3*x^3 - 3617/30*x
18:
x^18 - 9*x^17 + 51/2*x^16 - 102*x^14 + 442*x^12 - 7293/5*x^10 + 3315*x^8 - 23494/5*x^6 + 3570*x^4 - 10851/10*x^2 + 43867/798
19:
x^19 - 19/2*x^18 + 57/2*x^17 - 646/5*x^15 + 646*x^13 - 12597/5*x^11 + 20995/3*x^9 - 446386/35*x^7 + 13566*x^5 - 68723/10*x^3 + 43867/42*x
20:
x^20 - 10*x^19 + 95/3*x^18 - 323/2*x^16 + 6460/7*x^14 - 4199*x^12 + 41990/3*x^10 - 223193/7*x^8 + 45220*x^6 - 68723/2*x^4 + 219335/21*x^2 - 174611/330
21:
x^21 - 21/2*x^20 + 35*x^19 - 399/2*x^17 + 1292*x^15 - 6783*x^13 + 293930/11*x^11 - 223193/3*x^9 + 135660*x^7 - 1443183/10*x^5 + 219335/3*x^3 - 1222277/110*x
22:
x^22 - 11*x^21 + 77/2*x^20 - 1463/6*x^18 + 3553/2*x^16 - 10659*x^14 + 146965/3*x^12 - 2455123/15*x^10 + 373065*x^8 - 5291671/10*x^6 + 2412685/6*x^4 - 1222277/10*x^2 + 854513/138
23:
x^23 - 23/2*x^22 + 253/6*x^21 - 1771/6*x^19 + 4807/2*x^17 - 81719/5*x^15 + 260015/3*x^13 - 5133439/15*x^11 + 2860165/3*x^9 - 17386919/10*x^7 + 11098351/6*x^5 - 28112371/30*x^3 + 854513/6*x
24:
x^24 - 12*x^23 + 46*x^22 - 1771/5*x^20 + 9614/3*x^18 - 245157/10*x^16 + 148580*x^14 - 10266878/15*x^12 + 2288132*x^10 - 52160757/10*x^8 + 22196702/3*x^6 - 28112371/5*x^4 + 1709026*x^2 - 236364091/2730
25:
x^25 - 25/2*x^24 + 50*x^23 - 1265/3*x^21 + 12650/3*x^19 - 72105/2*x^17 + 742900/3*x^15 - 51334390/39*x^13 + 5200300*x^11 - 86934595/6*x^9 + 554917550/21*x^7 - 28112371*x^5 + 42725650/3*x^3 - 1181820455/546*x
26:
x^26 - 13*x^25 + 325/6*x^24 - 1495/3*x^22 + 16445/3*x^20 - 312455/6*x^18 + 2414425/6*x^16 - 51334390/21*x^14 + 33801950/3*x^12 - 226029947/6*x^10 + 3606964075/42*x^8 - 365460823/3*x^6 + 277716725/3*x^4 - 1181820455/42*x^2 + 8553103/6
27:
x^27 - 27/2*x^26 + 117/2*x^25 - 585*x^23 + 49335/7*x^21 - 148005/2*x^19 + 1278225/2*x^17 - 30800634/7*x^15 + 23401350*x^13 - 184933593/2*x^11 + 3606964075/14*x^9 - 469878201*x^7 + 499890105*x^5 - 3545461365/14*x^3 + 76977927/2*x
28:
x^28 - 14*x^27 + 63*x^26 - 1365/2*x^24 + 8970*x^22 - 207207/2*x^20 + 994175*x^18 - 15400317/2*x^16 + 46802700*x^14 - 431511717/2*x^12 + 721392815*x^10 - 3289147407/2*x^8 + 2332820490*x^6 - 3545461365/2*x^4 + 538845489*x^2 - 23749461029/870
29:
x^29 - 29/2*x^28 + 203/3*x^27 - 7917/10*x^25 + 11310*x^23 - 286143/2*x^21 + 1517425*x^19 - 26271129/2*x^17 + 90485220*x^15 - 962603061/2*x^13 + 1901853785*x^11 - 10598363867/2*x^9 + 9664542030*x^7 - 20563675917/2*x^5 + 5208839727*x^3 - 23749461029/30*x
30:
x^30 - 15*x^29 + 145/2*x^28 - 1827/2*x^26 + 28275/2*x^24 - 390195/2*x^22 + 4552275/2*x^20 - 43785215/2*x^18 + 339319575/2*x^16 - 2062720845/2*x^14 + 9509268925/2*x^12 - 31795091601/2*x^10 + 72484065225/2*x^8 - 102818379585/2*x^6 + 78132595905/2*x^4 - 23749461029/2*x^2 + 8615841276005/14322
31:
x^31 - 31/2*x^30 + 155/2*x^29 - 6293/6*x^27 + 35061/2*x^25 - 525915/2*x^23 + 6720025/2*x^21 - 71439035/2*x^19 + 618759225/2*x^17 - 4262956413/2*x^15 + 22675948975/2*x^13 - 985647839631/22*x^11 + 249667335775/2*x^9 - 3187369767135/14*x^7 + 484422094611/2*x^5 - 736233291899/6*x^3 + 8615841276005/462*x
32:
x^32 - 16*x^31 + 248/3*x^30 - 3596/3*x^28 + 21576*x^26 - 350610*x^24 + 53760200/11*x^22 - 57151228*x^20 + 550008200*x^18 - 4262956413*x^16 + 181407591800/7*x^14 - 1314197119508/11*x^12 + 399467737240*x^10 - 6374739534270/7*x^8 + 1291792252296*x^6 - 2944933167596/3*x^4 + 68926730208040/231*x^2 - 7709321041217/510
33:
x^33 - 33/2*x^32 + 88*x^31 - 1364*x^29 + 79112/3*x^27 - 2314026/5*x^25 + 7012200*x^23 - 628663508/7*x^21 + 955277400*x^19 - 140677561629/17*x^17 + 399096701960/7*x^15 - 303276258348*x^13 + 1198403211720*x^11 - 23374044958990/7*x^9 + 6089877760824*x^7 - 32394264843556/5*x^5 + 68926730208040/21*x^3 - 84802531453387/170*x
34:
x^34 - 17*x^33 + 187/2*x^32 - 23188/15*x^30 + 672452/21*x^28 - 3026034/5*x^26 + 9933950*x^24 - 971570876/7*x^22 + 1623971580*x^20 - 15630840181*x^18 + 848080491665/7*x^16 - 736528055988*x^14 + 3395475766540*x^12 - 79471752860566/7*x^10 + 25881980483502*x^8 - 550702502340452/15*x^6 + 585877206768340/21*x^4 - 84802531453387/10*x^2 + 2577687858367/6
35:
x^35 - 35/2*x^34 + 595/6*x^33 - 5236/3*x^31 + 115940/3*x^29 - 2353582/3*x^27 + 13907530*x^25 - 211211060*x^23 + 2706619300*x^21 - 28793652965*x^19 + 249435438725*x^17 - 1718565463972*x^15 + 9141665525300*x^13 - 36123524027530*x^11 + 100652146324730*x^9 - 550702502340452/3*x^7 + 585877206768340/3*x^5 - 593617720173709/6*x^3 + 90219075042845/6*x
36:
x^36 - 18*x^35 + 105*x^34 - 3927/2*x^32 + 46376*x^30 - 1008678*x^28 + 19256580*x^26 - 316816590*x^24 + 4429013400*x^22 - 51828575337*x^20 + 498870877450*x^18 - 3866772293937*x^16 + 23507139922200*x^14 - 108370572082590*x^12 + 362347726769028*x^10 - 826053753510678*x^8 + 1171754413536680*x^6 - 1780853160521127/2*x^4 + 270657225128535*x^2 - 26315271553053477373/1919190
37:
x^37 - 37/2*x^36 + 111*x^35 - 4403/2*x^33 + 55352*x^31 - 1286934*x^29 + 79165940/3*x^27 - 2344442766/5*x^25 + 7124934600*x^23 - 91317013689*x^21 + 18458222465650/19*x^19 - 8415916169157*x^17 + 57984278474760*x^15 - 4009711167055830/13*x^13 + 1218805990041276*x^11 - 10187996293298362/3*x^9 + 43354913300857160/7*x^7 - 65891566939281699/10*x^5 + 3338105776585265*x^3 - 26315271553053477373/51870*x
38:
x^38 - 19*x^37 + 703/6*x^36 - 4921/2*x^34 + 131461/2*x^32 - 8150582/5*x^30 + 107439490/3*x^28 - 44544412554/65*x^26 + 11281146450*x^24 - 157729387281*x^22 + 1845822246565*x^20 - 17766934134887*x^18 + 137712661377555*x^16 - 76184512174060770/91*x^14 + 3859552301797374*x^12 - 193571929572668878/15*x^10 + 205935838179071510/7*x^8 - 417313257282117427/10*x^6 + 63424009755120035/2*x^4 - 26315271553053477373/2730*x^2 + 2929993913841559/6
39:
x^39 - 39/2*x^38 + 247/2*x^37 - 27417/10*x^35 + 155363/2*x^33 - 10253958/5*x^31 + 48162530*x^29 - 14848137518/15*x^27 + 17598588462*x^25 - 267454178433*x^23 + 23995689205345/7*x^21 - 36468970066347*x^19 + 315929046689685*x^17 - 15236902434812154/7*x^15 + 11578656905392122*x^13 - 228766825858608674/5*x^11 + 2677165896327929630/21*x^9 - 2325031004857511379/10*x^7 + 494707276089936273/2*x^5 - 26315271553053477373/210*x^3 + 38089920879940267/2*x
40:
x^40 - 20*x^39 + 130*x^38 - 9139/3*x^36 + 91390*x^34 - 5126979/2*x^32 + 192650120/3*x^30 - 29696275036/21*x^28 + 27074751480*x^26 - 445756964055*x^24 + 43628525827900/7*x^22 - 72937940132694*x^20 + 702064548199300*x^18 - 38092256087030385/7*x^16 + 33081876872548920*x^14 - 457533651717217348/3*x^12 + 10708663585311718520/21*x^10 - 2325031004857511379/2*x^8 + 1649024253633120910*x^6 - 26315271553053477373/21*x^4 + 380899208799402670*x^2 - 261082718496449122051/13530
41:
x^41 - 41/2*x^40 + 410/3*x^39 - 10127/3*x^37 + 749398/7*x^35 - 6369883/2*x^33 + 254795320/3*x^31 - 41984388844/21*x^29 + 123340534520/3*x^27 - 3655207105251/5*x^25 + 77772589519300/7*x^23 - 142402645020974*x^21 + 1514981393482700*x^19 - 91869558798132105/7*x^17 + 90423796784967048*x^15 - 1442990747723531636/3*x^13 + 439055206997780459320/231*x^11 - 31775423733052655513/6*x^9 + 9658570628422565330*x^7 - 1078926133675192572293/105*x^5 + 15616867560775509470/3*x^3 - 261082718496449122051/330*x
42:
x^42 - 21*x^41 + 287/2*x^40 - 3731*x^38 + 374699/3*x^36 - 7868679/2*x^34 + 222945905/2*x^32 - 41984388844/15*x^30 + 61670267260*x^28 - 5904565323867/5*x^26 + 19443147379825*x^24 - 2990455545440454/11*x^22 + 3181460926313670*x^20 - 30623186266044035*x^18 + 237362466560538501*x^16 - 1442990747723531636*x^14 + 219527603498890229660/33*x^12 - 222427966131368588591/10*x^10 + 101414991598436935965/2*x^8 - 1078926133675192572293/15*x^6 + 54659036462714283145*x^4 - 1827579029475143854357/110*x^2 + 1520097643918070802691/1806
43:
x^43 - 43/2*x^42 + 301/2*x^41 - 12341/3*x^39 + 435461/3*x^37 - 48336171/10*x^35 + 9586673915/66*x^33 - 58236410332/15*x^31 + 91442120420*x^29 - 28210700991809/15*x^27 + 33442213493299*x^25 - 5590851671910414/11*x^23 + 6514419991975610*x^21 - 69305105759994395*x^19 + 600387415417832679*x^17 - 62048602152111860348/15*x^15 + 726129765419406144260/33*x^13 - 869491140331713573583/10*x^11 + 1453614879577596082165/6*x^9 - 46393823748033280608599/105*x^7 + 470067713579342835047*x^5 - 78585898267431185737351/330*x^3 + 1520097643918070802691/42*x
44:
x^44 - 22*x^43 + 473/3*x^42 - 135751/30*x^40 + 504218/3*x^38 - 177232627/30*x^36 + 563921995/3*x^34 - 160150128413/30*x^32 + 402345329848/3*x^30 - 44331101558557/15*x^28 + 56594515142506*x^26 - 931808611985069*x^24 + 13028839983951220*x^22 - 152471232671987669*x^20 + 1467613682132479882*x^18 - 170633655918307615957/15*x^16 + 1452259530838812288520/21*x^14 - 9564402543648849309413/30*x^12 + 3197952735070711380763/3*x^10 - 510332061228366086694589/210*x^8 + 10341489698745542371034/3*x^6 - 78585898267431185737351/30*x^4 + 16721074083098778829601/21*x^2 - 27833269579301024235023/690
45:
x^45 - 45/2*x^44 + 165*x^43 - 9933/2*x^41 + 193930*x^39 - 14370213/2*x^37 + 241680855*x^35 - 14559102583/2*x^33 + 194683224120*x^31 - 4585976023299*x^29 + 282972575712530/3*x^27 - 8386277507865621/5*x^25 + 586297799277804900/23*x^23 - 2287068490079815035/7*x^21 + 3475927141892715510*x^19 - 30111821632642520463*x^17 + 1452259530838812288520/7*x^15 - 2207169817765119071403/2*x^13 + 4360844638732788246495*x^11 - 510332061228366086694589/42*x^9 + 22160335068740447937930*x^7 - 235757694802293557212053/10*x^5 + 83605370415493894148005/7*x^3 - 83499808737903072705069/46*x
46:
x^46 - 23*x^45 + 345/2*x^44 - 10879/2*x^42 + 446039/2*x^40 - 17395521/2*x^38 + 1852886555/6*x^36 - 19697609377/2*x^34 + 559714269345/2*x^32 - 35159149511959/5*x^30 + 3254184620694095/21*x^28 - 14837260206223791/5*x^26 + 48858149939817075*x^24 - 4782052297439613255/7*x^22 + 7994632426353245673*x^20 - 230857299183592656883/3*x^18 + 4175246151161585329495/7*x^16 - 7252129401228248377467/2*x^14 + 33433142230284709889795/2*x^12 - 11737637408252419993975547/210*x^10 + 254843853290515151286195/2*x^8 - 1807475660150917271959073/10*x^6 + 1922923519556359565404115/14*x^4 - 83499808737903072705069/2*x^2 + 596451111593912163277961/282
47:
x^47 - 47/2*x^46 + 1081/6*x^45 - 11891/2*x^43 + 511313/2*x^41 - 20963833/2*x^39 + 2353666705/6*x^37 - 925787640719/70*x^35 + 797168807855/2*x^33 - 53305807324583/5*x^31 + 5274023350780085/21*x^29 - 77483469965835353/15*x^27 + 91853321886856101*x^25 - 9772019912159209695/7*x^23 + 17892748763742978411*x^21 - 571068055875202888079/3*x^19 + 11543327594387912381545/7*x^17 - 113616693952575891246983/10*x^15 + 120873668063337028063105/2*x^13 - 50151723471623976337895519/210*x^11 + 3992553701551404036817055/6*x^9 - 12135908003870444540296633/10*x^7 + 18075481083829779914798681/14*x^5 - 1308163670227148139046081/2*x^3 + 596451111593912163277961/6*x
48:
x^48 - 24*x^47 + 188*x^46 - 6486*x^44 + 2045252/7*x^42 - 62891499/5*x^40 + 495508780*x^38 - 1851575281438/105*x^36 + 562707393780*x^34 - 159917421973749/10*x^32 + 8438437361248136/21*x^30 - 44276268551905916/5*x^28 + 169575363483426648*x^26 - 19544039824318419390/7*x^24 + 39038724575439225624*x^22 - 2284272223500811552316/5*x^20 + 92346620755103299052360/21*x^18 - 340850081857727673740949/10*x^16 + 207212002394292048108180*x^14 - 100303446943247952675791038/105*x^12 + 3194042961241123229453644*x^10 - 36407724011611333620889899/5*x^8 + 72301924335319119659194724/7*x^6 - 7848982021362888834276486*x^4 + 2385804446375648653111844*x^2 - 5609403368997817686249127547/46410
49:
x^49 - 49/2*x^48 + 196*x^47 - 105938/15*x^45 + 332948*x^43 - 75163011/5*x^41 + 1867686940/3*x^39 - 350298026218/15*x^37 + 787790351292*x^35 - 237453141718597/10*x^33 + 1905453597701192/3*x^31 - 74811626173909996/5*x^29 + 923243645631989528/3*x^27 - 27361655754045787146/5*x^25 + 83169456704196611112*x^23 - 15989905564505680866212/15*x^21 + 34022439225564373335080/3*x^19 - 16701654011028656013306501/170*x^17 + 676892541154687357153388*x^15 - 702124128602735668730537266/195*x^13 + 14228009554619548931202596*x^11 - 594659492189651782474535017/15*x^9 + 72301924335319119659194724*x^7 - 384600119046781552879547814/5*x^5 + 116904417872406784002480356/3*x^3 - 39265823582984723803743892829/6630*x
50:
x^50 - 25*x^49 + 1225/6*x^48 - 23030/3*x^46 + 378350*x^44 - 17895955*x^42 + 2334608675/3*x^40 - 92183691110/3*x^38 + 3282459797050/3*x^36 - 1187265708592985/34*x^34 + 5954542492816225/6*x^32 - 74811626173909996/3*x^30 + 1648649367199981300/3*x^28 - 136808278770228935730/13*x^26 + 173269701467076273150*x^24 - 7268138892957127666460/3*x^22 + 85056098063910933337700/3*x^20 - 27836090018381093355510835/102*x^18 + 4230578382216795982208675/2*x^16 - 501517234716239763378955190/39*x^14 + 177850119432744361640032450/3*x^12 - 594659492189651782474535017/3*x^10 + 451887027095744497869967025*x^8 - 641000198411302588132579690*x^6 + 1461305223405084800031004450/3*x^4 - 196329117914923619018719464145/1326*x^2 + 495057205241079648212477525/66
