Krawtchouk polynomials $K_n(x;p,N)$ in the Askey normalisation

$p$

$N$

$n$

$K_n(x;p,N)$

1/4

1

0:

1

1/4

1

1:

-4*x + 1

1/4

2

0:

1

1/4

2

1:

-2*x + 1

1/4

2

2:

8*x^2 - 12*x + 1

1/4

3

0:

1

1/4

3

1:

-4/3*x + 1

1/4

3

2:

8/3*x^2 - 16/3*x + 1

1/4

3

3:

-32/3*x^3 + 40*x^2 - 100/3*x + 1

1/4

4

0:

1

1/4

4

1:

-x + 1

1/4

4

2:

4/3*x^2 - 10/3*x + 1

1/4

4

3:

-8/3*x^3 + 12*x^2 - 37/3*x + 1

1/4

4

4:

32/3*x^4 - 224/3*x^3 + 472/3*x^2 - 292/3*x + 1

1/4

5

0:

1

1/4

5

1:

-4/5*x + 1

1/4

5

2:

4/5*x^2 - 12/5*x + 1

1/4

5

3:

-16/15*x^3 + 28/5*x^2 - 104/15*x + 1

1/4

5

4:

32/15*x^4 - 256/15*x^3 + 616/15*x^2 - 88/3*x + 1

1/4

5

5:

-128/15*x^5 + 96*x^4 - 1120/3*x^3 + 584*x^2 - 4532/15*x + 1

1/4

6

0:

1

1/4

6

1:

-2/3*x + 1

1/4

6

2:

8/15*x^2 - 28/15*x + 1

1/4

6

3:

-8/15*x^3 + 16/5*x^2 - 14/3*x + 1

1/4

6

4:

32/45*x^4 - 32/5*x^3 + 784/45*x^2 - 72/5*x + 1

1/4

6

5:

-64/45*x^5 + 160/9*x^4 - 688/9*x^3 + 1184/9*x^2 - 374/5*x + 1

1/4

6

6:

256/45*x^6 - 1408/15*x^5 + 5216/9*x^4 - 4960/3*x^3 + 96424/45*x^2 - 4924/5*x + 1

1/4

7

0:

1

1/4

7

1:

-4/7*x + 1

1/4

7

2:

8/21*x^2 - 32/21*x + 1

1/4

7

3:

-32/105*x^3 + 72/35*x^2 - 52/15*x + 1

1/4

7

4:

32/105*x^4 - 64/21*x^3 + 976/105*x^2 - 928/105*x + 1

1/4

7

5:

-128/315*x^5 + 352/63*x^4 - 1664/63*x^3 + 3152/63*x^2 - 1108/35*x + 1

1/4

7

6:

256/315*x^6 - 512/35*x^5 + 6176/63*x^4 - 2112/7*x^3 + 131944/315*x^2 - 1024/5*x + 1

1/4

7

7:

-1024/315*x^7 + 3328/45*x^6 - 29824/45*x^5 + 26720/9*x^4 - 311968/45*x^3 + 354472/45*x^2 - 116388/35*x + 1

1/4

8

0:

1

1/4

8

1:

-1/2*x + 1

1/4

8

2:

2/7*x^2 - 9/7*x + 1

1/4

8

3:

-4/21*x^3 + 10/7*x^2 - 115/42*x + 1

1/4

8

4:

16/105*x^4 - 176/105*x^3 + 596/105*x^2 - 646/105*x + 1

1/4

8

5:

-16/105*x^5 + 16/7*x^4 - 248/21*x^3 + 172/7*x^2 - 3653/210*x + 1

1/4

8

6:

64/315*x^6 - 416/105*x^5 + 1808/63*x^4 - 2000/21*x^3 + 44806/315*x^2 - 2623/35*x + 1

1/4

8

7:

-128/315*x^7 + 448/45*x^6 - 4304/45*x^5 + 4112/9*x^4 - 50876/45*x^3 + 60802/45*x^2 - 41641/70*x + 1

1/4

8

8:

512/315*x^8 - 1024/21*x^7 + 1792/3*x^6 - 57728/15*x^5 + 69856/5*x^4 - 84832/3*x^3 + 1834424/63*x^2 - 403108/35*x + 1

1/4

9

0:

1

1/4

9

1:

-4/9*x + 1

1/4

9

2:

2/9*x^2 - 10/9*x + 1

1/4

9

3:

-8/63*x^3 + 22/21*x^2 - 142/63*x + 1

1/4

9

4:

16/189*x^4 - 64/63*x^3 + 716/189*x^2 - 292/63*x + 1

1/4

9

5:

-64/945*x^5 + 208/189*x^4 - 1168/189*x^3 + 380/27*x^2 - 3512/315*x + 1

1/4

9

6:

64/945*x^6 - 64/45*x^5 + 2096/189*x^4 - 832/21*x^3 + 60286/945*x^2 - 1646/45*x + 1

1/4

9

7:

-256/2835*x^7 + 64/27*x^6 - 9856/405*x^5 + 3344/27*x^4 - 131752/405*x^3 + 3698/9*x^2 - 60002/315*x + 1

1/4

9

8:

512/2835*x^8 - 16384/2835*x^7 + 30464/405*x^6 - 207616/405*x^5 + 793184/405*x^4 - 1679488/405*x^3 + 155272/35*x^2 - 569672/315*x + 1

1/4

9

9:

-2048/2835*x^9 + 8704/315*x^8 - 418816/945*x^7 + 58112/15*x^6 - 2708864/135*x^5 + 938656/15*x^4 - 322084192/2835*x^3 + 34108568/315*x^2 - 12803012/315*x + 1

1/4

10

0:

1

1/4

10

1:

-2/5*x + 1

1/4

10

2:

8/45*x^2 - 44/45*x + 1

1/4

10

3:

-4/45*x^3 + 4/5*x^2 - 86/45*x + 1

1/4

10

4:

16/315*x^4 - 208/315*x^3 + 848/315*x^2 - 232/63*x + 1

1/4

10

5:

-32/945*x^5 + 16/27*x^4 - 680/189*x^3 + 1688/189*x^2 - 2486/315*x + 1

1/4

10

6:

128/4725*x^6 - 64/105*x^5 + 688/135*x^4 - 176/9*x^3 + 160472/4725*x^2 - 6716/315*x + 1

1/4

10

7:

-128/4725*x^7 + 512/675*x^6 - 224/27*x^5 + 6064/135*x^4 - 84596/675*x^3 + 113348/675*x^2 - 26066/315*x + 1

1/4

10

8:

512/14175*x^8 - 17408/14175*x^7 + 34304/2025*x^6 - 49408/405*x^5 + 993824/2025*x^4 - 2206496/2025*x^3 + 1915168/1575*x^2 - 161936/315*x + 1

1/4

10

9:

-1024/14175*x^9 + 512/175*x^8 - 233984/4725*x^7 + 4096/9*x^6 - 1665856/675*x^5 + 1804576/225*x^4 - 213945968/14175*x^3 + 933712/63*x^2 - 1793006/315*x + 1

1/4

10

10:

4096/14175*x^10 - 38912/2835*x^9 + 52736/189*x^8 - 2999296/945*x^7 + 14956288/675*x^6 - 13215104/135*x^5 + 154048928/567*x^4 - 1282760032/2835*x^3 + 637748984/1575*x^2 - 45833156/315*x + 1

1/4

11

0:

1

1/4

11

1:

-4/11*x + 1

1/4

11

2:

8/55*x^2 - 48/55*x + 1

1/4

11

3:

-32/495*x^3 + 104/165*x^2 - 164/99*x + 1

1/4

11

4:

16/495*x^4 - 224/495*x^3 + 992/495*x^2 - 1504/495*x + 1

1/4

11

5:

-64/3465*x^5 + 80/231*x^4 - 224/99*x^3 + 128/21*x^2 - 20716/3465*x + 1

1/4

11

6:

128/10395*x^6 - 1024/3465*x^5 + 784/297*x^4 - 7520/693*x^3 + 19192/945*x^2 - 6928/495*x + 1

1/4

11

7:

-512/51975*x^7 + 2176/7425*x^6 - 5056/1485*x^5 + 29072/1485*x^4 - 430784/7425*x^3 + 613864/7425*x^2 - 151276/3465*x + 1

1/4

11

8:

512/51975*x^8 - 2048/5775*x^7 + 512/99*x^6 - 19456/495*x^5 + 45792/275*x^4 - 961088/2475*x^3 + 85760/189*x^2 - 694336/3465*x + 1

1/4

11

9:

-2048/155925*x^9 + 9728/17325*x^8 - 520192/51975*x^7 + 239104/2475*x^6 - 4072832/7425*x^5 + 4602976/2475*x^4 - 566901184/155925*x^3 + 63922112/17325*x^2 - 5043436/3465*x + 1

1/4

11

10:

4096/155925*x^10 - 8192/6237*x^9 + 291328/10395*x^8 - 3467264/10395*x^7 + 18028288/7425*x^6 - 1504256/135*x^5 + 997621216/31185*x^4 - 1710651968/31185*x^3 + 290392328/5775*x^2 - 5796656/315*x + 1

1/4

11

11:

-16384/155925*x^11 + 4096/675*x^10 - 432128/2835*x^9 + 137728/63*x^8 - 93328384/4725*x^7 + 26311936/225*x^6 - 1295389568/2835*x^5 + 31193888/27*x^4 - 25409671904/14175*x^3 + 2396735224/1575*x^2 - 1825370476/3465*x + 1

1/4

12

0:

1

1/4

12

1:

-1/3*x + 1

1/4

12

2:

4/33*x^2 - 26/33*x + 1

1/4

12

3:

-8/165*x^3 + 28/55*x^2 - 241/165*x + 1

1/4

12

4:

32/1485*x^4 - 32/99*x^3 + 2296/1485*x^2 - 116/45*x + 1

1/4

12

5:

-16/1485*x^5 + 64/297*x^4 - 448/297*x^3 + 1304/297*x^2 - 2353/495*x + 1

1/4

12

6:

64/10395*x^6 - 544/3465*x^5 + 3104/2079*x^4 - 4544/693*x^3 + 12476/945*x^2 - 3146/315*x + 1

1/4

12

7:

-128/31185*x^7 + 64/495*x^6 - 7088/4455*x^5 + 320/33*x^4 - 135896/4455*x^3 + 22916/495*x^2 - 91321/3465*x + 1

1/4

12

8:

512/155925*x^8 - 19456/155925*x^7 + 42752/22275*x^6 - 13696/891*x^5 + 1527104/22275*x^4 - 3744832/22275*x^3 + 3575344/17325*x^2 - 332296/3465*x + 1

1/4

12

9:

-512/155925*x^9 + 512/3465*x^8 - 143872/51975*x^7 + 69376/2475*x^6 - 1237088/7425*x^5 + 291968/495*x^4 - 187136704/155925*x^3 + 7292176/5775*x^2 - 1781611/3465*x + 1

1/4

12

10:

2048/467775*x^10 - 1024/4455*x^9 + 160256/31185*x^8 - 60416/945*x^7 + 10807424/22275*x^6 - 1145536/495*x^5 + 643804352/93555*x^4 - 54227456/4455*x^3 + 595393772/51975*x^2 - 14830066/3465*x + 1

1/4

12

11:

-4096/467775*x^11 + 22528/42525*x^10 - 5632/405*x^9 + 589312/2835*x^8 - 27666176/14175*x^7 + 24241024/2025*x^6 - 410718176/8505*x^5 + 1068244864/8505*x^4 - 404320616/2025*x^3 + 816978052/4725*x^2 - 210563821/3465*x + 1

1/4

12

12:

16384/467775*x^12 - 376832/155925*x^11 + 446464/6075*x^10 - 735232/567*x^9 + 208443904/14175*x^8 - 176610304/1575*x^7 + 24841586944/42525*x^6 - 5862626176/2835*x^5 + 29415356192/6075*x^4 - 100338160352/14175*x^3 + 298535626232/51975*x^2 - 6669791596/3465*x + 1

1/4

13

0:

1

1/4

13

1:

-4/13*x + 1

1/4

13

2:

4/39*x^2 - 28/39*x + 1

1/4

13

3:

-16/429*x^3 + 60/143*x^2 - 560/429*x + 1

1/4

13

4:

32/2145*x^4 - 512/2145*x^3 + 2632/2145*x^2 - 4792/2145*x + 1

1/4

13

5:

-128/19305*x^5 + 544/3861*x^4 - 4064/3861*x^3 + 12728/3861*x^2 - 25204/6435*x + 1

1/4

13

6:

64/19305*x^6 - 64/715*x^5 + 3488/3861*x^4 - 5440/1287*x^3 + 176356/19305*x^2 - 3748/495*x + 1

1/4

13

7:

-256/135135*x^7 + 1216/19305*x^6 - 1216/1485*x^5 + 1568/297*x^4 - 339952/19305*x^3 + 549724/19305*x^2 - 790168/45045*x + 1

1/4

13

8:

512/405405*x^8 - 4096/81081*x^7 + 9472/11583*x^6 - 399104/57915*x^5 + 1872704/57915*x^4 - 966400/11583*x^3 + 971728/9009*x^2 - 2392048/45045*x + 1

1/4

13

9:

-2048/2027025*x^9 + 512/10725*x^8 - 633856/675675*x^7 + 35584/3575*x^6 - 543232/8775*x^5 + 818496/3575*x^4 - 984471232/2027025*x^3 + 5699248/10725*x^2 - 10117108/45045*x + 1

1/4

13

10:

2048/2027025*x^10 - 2048/36855*x^9 + 25088/19305*x^8 - 2281472/135135*x^7 + 12888704/96525*x^6 - 2556800/3861*x^5 + 75249472/36855*x^4 - 1513049984/405405*x^3 + 116308436/32175*x^2 - 62306308/45045*x + 1

1/4

13

11:

-8192/6081075*x^11 + 47104/552825*x^10 - 4096/1755*x^9 + 267776/7371*x^8 - 65300992/184275*x^7 + 59289472/26325*x^6 - 1037942656/110565*x^5 + 556058816/22113*x^4 - 1079778512/26325*x^3 + 171488452/4725*x^2 - 584258368/45045*x + 1

1/4

13

12:

16384/6081075*x^12 - 131072/675675*x^11 + 3395584/552825*x^10 - 4149248/36855*x^9 + 18754048/14175*x^8 - 640495616/61425*x^7 + 30950324992/552825*x^6 - 18532096/91*x^5 + 270002185184/552825*x^4 - 134301092096/184275*x^3 + 31259748392/51975*x^2 - 707427496/3465*x + 1

1/4

13

13:

-65536/6081075*x^13 + 16384/18711*x^12 - 2965504/93555*x^11 + 28684288/42525*x^10 - 132872192/14175*x^9 + 253317632/2835*x^8 - 5077443584/8505*x^7 + 119282239744/42525*x^6 - 389133149312/42525*x^5 + 170788323424/8505*x^4 - 869906449184/31185*x^3 + 1131146913272/51975*x^2 - 319239504508/45045*x + 1

1/4

14

0:

1

1/4

14

1:

-2/7*x + 1

1/4

14

2:

8/91*x^2 - 60/91*x + 1

1/4

14

3:

-8/273*x^3 + 32/91*x^2 - 46/39*x + 1

1/4

14

4:

32/3003*x^4 - 544/3003*x^3 + 272/273*x^2 - 5912/3003*x + 1

1/4

14

5:

-64/15015*x^5 + 96/1001*x^4 - 16/21*x^3 + 2560/1001*x^2 - 4526/1365*x + 1

1/4

14

6:

256/135135*x^6 - 2432/45045*x^5 + 15584/27027*x^4 - 8608/3003*x^3 + 896344/135135*x^2 - 38644/6435*x + 1

1/4

14

7:

-128/135135*x^7 + 128/3861*x^6 - 8768/19305*x^5 + 11936/3861*x^4 - 210776/19305*x^3 + 72608/3861*x^2 - 565618/45045*x + 1

1/4

14

8:

512/945945*x^8 - 1024/45045*x^7 + 17408/45045*x^6 - 22016/6435*x^5 + 253376/15015*x^4 - 294848/6435*x^3 + 59120032/945945*x^2 - 1476688/45045*x + 1

1/4

14

9:

-1024/2837835*x^9 + 512/28665*x^8 - 49664/135135*x^7 + 183808/45045*x^6 - 3586432/135135*x^5 + 4619584/45045*x^4 - 644443616/2837835*x^3 + 27235328/105105*x^2 - 5150998/45045*x + 1

1/4

14

10:

4096/14189175*x^10 - 47104/2837835*x^9 + 54784/135135*x^8 - 148480/27027*x^7 + 30581248/675675*x^6 - 31543552/135135*x^5 + 2119575616/2837835*x^4 - 802114240/567567*x^3 + 45443656/32175*x^2 - 25028308/45045*x + 1

1/4

14

11:

-4096/14189175*x^11 + 8192/429975*x^10 - 140288/257985*x^9 + 252416/28665*x^8 - 5479168/61425*x^7 + 1718528/2925*x^6 - 653203328/257985*x^5 + 601339712/85995*x^4 - 15120299336/1289925*x^3 + 507251488/47775*x^2 - 174153178/45045*x + 1

1/4

14

12:

16384/42567525*x^12 - 16384/567567*x^11 + 3678208/3869775*x^10 - 4665344/257985*x^9 + 283969024/1289925*x^8 - 338944/189*x^7 + 38420798464/3869775*x^6 - 9581384192/257985*x^5 + 353411007584/3869775*x^4 - 7186071584/51597*x^3 + 42577986224/363825*x^2 - 1814586808/45045*x + 1

1/4

14

13:

-32768/42567525*x^13 + 212992/3274425*x^12 - 8003584/3274425*x^11 + 16039936/297675*x^10 - 25603072/33075*x^9 + 107885056/14175*x^8 - 15575839232/297675*x^7 + 75116282368/297675*x^6 - 250857816256/297675*x^5 + 561971901152/297675*x^4 - 2913422129488/1091475*x^3 + 109823117312/51975*x^2 - 31342482238/45045*x + 1

1/4

14

14:

131072/42567525*x^14 - 65536/225225*x^13 + 5783552/467775*x^12 - 48676864/155925*x^11 + 221753344/42525*x^10 - 860452864/14175*x^9 + 150371082752/297675*x^8 - 14328239104/4725*x^7 + 556117166336/42525*x^6 - 564335141248/14175*x^5 + 38652305544352/467775*x^4 - 17119073996704/155925*x^3 + 391332950540072/4729725*x^2 - 1182930584188/45045*x + 1

1/4

15

0:

1

1/4

15

1:

-4/15*x + 1

1/4

15

2:

8/105*x^2 - 64/105*x + 1

1/4

15

3:

-32/1365*x^3 + 136/455*x^2 - 1468/1365*x + 1

1/4

15

4:

32/4095*x^4 - 64/455*x^3 + 3376/4095*x^2 - 160/91*x + 1

1/4

15

5:

-128/45045*x^5 + 608/9009*x^4 - 5120/9009*x^3 + 18352/9009*x^2 - 14348/5005*x + 1

1/4

15

6:

256/225225*x^6 - 512/15015*x^5 + 17312/45045*x^4 - 6080/3003*x^3 + 1126744/225225*x^2 - 24672/5005*x + 1

1/4

15

7:

-1024/2027025*x^7 + 1792/96525*x^6 - 1408/5265*x^5 + 2848/1485*x^4 - 2073568/289575*x^3 + 422296/32175*x^2 - 7780/819*x + 1

1/4

15

8:

512/2027025*x^8 - 2048/184275*x^7 + 57344/289575*x^6 - 8192/4455*x^5 + 2757824/289575*x^4 - 7878016/289575*x^3 + 802528/20475*x^2 - 990784/45045*x + 1

1/4

15

9:

-2048/14189175*x^9 + 11776/1576575*x^8 - 108544/675675*x^7 + 83968/45045*x^6 - 8559872/675675*x^5 + 1047232/20475*x^4 - 1678971136/14189175*x^3 + 8901280/63063*x^2 - 420916/6435*x + 1

1/4

15

10:

4096/42567525*x^10 - 16384/2837835*x^9 + 83456/567567*x^8 - 280576/135135*x^7 + 252416/14175*x^6 - 4301824/45045*x^5 + 540328640/1702701*x^4 - 1766486144/2837835*x^3 + 3043798984/4729725*x^2 - 11776768/45045*x + 1

1/4

15

11:

-16384/212837625*x^11 + 4096/773955*x^10 - 22528/143325*x^9 + 682496/257985*x^8 - 25628672/921375*x^7 + 6997504/36855*x^6 - 251940608/297675*x^5 + 1867130432/773955*x^4 - 26844684448/6449625*x^3 + 66510056/17199*x^2 - 1851284/1287*x + 1

1/4

15

12:

16384/212837625*x^12 - 32768/5457375*x^11 + 794624/3869775*x^10 - 5226496/1289925*x^9 + 329403904/6449625*x^8 - 132073472/307125*x^7 + 9503049728/3869775*x^6 - 12194197504/1289925*x^5 + 35511704288/1488375*x^4 - 240132986944/6449625*x^3 + 150877082032/4729725*x^2 - 502239904/45045*x + 1

1/4

15

13:

-65536/638512875*x^13 + 16384/1819125*x^12 - 17235968/49116375*x^11 + 794624/99225*x^10 - 176945152/1488375*x^9 + 199373312/165375*x^8 - 38091556864/4465125*x^7 + 279486464/6615*x^6 - 645436395392/4465125*x^5 + 164150534432/496125*x^4 - 2601004648192/5457375*x^3 + 46467499184/121275*x^2 - 5751639532/45045*x + 1

1/4

15

14:

131072/638512875*x^14 - 262144/13030875*x^13 + 6209536/7016625*x^12 - 32407552/1403325*x^11 + 12087296/30375*x^10 - 144867328/30375*x^9 + 182089289216/4465125*x^8 - 6404233216/25515*x^7 + 706349731072/637875*x^6 - 2194721056256/637875*x^5 + 809772815392/111375*x^4 - 218532554816/22275*x^3 + 11805502266568/1576575*x^2 - 108115022368/45045*x + 1

1/4

15

15:

-524288/638512875*x^15 + 3801088/42567525*x^14 - 458752/104247*x^13 + 60833792/467775*x^12 - 18032869376/7016625*x^11 + 508203008/14175*x^10 - 12974147584/35721*x^9 + 805780890112/297675*x^8 - 9481400290304/637875*x^7 + 2534666832128/42525*x^6 - 9596536055936/56133*x^5 + 52700447966944/155925*x^4 - 30633967914894688/70945875*x^3 + 11053365467544/35035*x^2 - 881475456332/9009*x + 1

1/4

16

0:

1

1/4

16

1:

-1/4*x + 1

1/4

16

2:

1/15*x^2 - 17/30*x + 1

1/4

16

3:

-2/105*x^3 + 9/35*x^2 - 83/84*x + 1

1/4

16

4:

8/1365*x^4 - 152/1365*x^3 + 946/1365*x^2 - 2167/1365*x + 1

1/4

16

5:

-8/4095*x^5 + 40/819*x^4 - 356/819*x^3 + 194/117*x^2 - 4587/1820*x + 1

1/4

16

6:

32/45045*x^6 - 16/715*x^5 + 184/693*x^4 - 1480/1001*x^3 + 13481/3465*x^2 - 5943/1430*x + 1

1/4

16

7:

-64/225225*x^7 + 32/2925*x^6 - 1064/6435*x^5 + 8024/6435*x^4 - 158098/32175*x^3 + 307963/32175*x^2 - 150151/20020*x + 1

1/4

16

8:

256/2027025*x^8 - 11776/2027025*x^7 + 6272/57915*x^6 - 60992/57915*x^5 + 1656592/289575*x^4 - 4975792/289575*x^3 + 130932/5005*x^2 - 709342/45045*x + 1

1/4

16

9:

-128/2027025*x^9 + 256/75075*x^8 - 51712/675675*x^7 + 29824/32175*x^6 - 57712/8775*x^5 + 892336/32175*x^4 - 135955384/2027025*x^3 + 18873892/225225*x^2 - 1477097/36036*x + 1

1/4

16

10:

512/14189175*x^10 - 1280/567567*x^9 + 4352/72765*x^8 - 118784/135135*x^7 + 5299136/675675*x^6 - 5909536/135135*x^5 + 428421872/2837835*x^4 - 79300336/257985*x^3 + 57728597/175175*x^2 - 1137781/8190*x + 1

1/4

16

11:

-1024/42567525*x^11 + 512/297675*x^10 - 13696/257985*x^9 + 47872/51597*x^8 - 1864832/184275*x^7 + 1884224/26325*x^6 - 51103408/154791*x^5 + 150466192/154791*x^4 - 2229819698/1289925*x^3 + 709847249/429975*x^2 - 113379787/180180*x + 1

1/4

16

12:

4096/212837625*x^12 - 4096/2627625*x^11 + 214016/3869775*x^10 - 208384/184275*x^9 + 95147776/6449625*x^8 - 39425536/307125*x^7 + 2926815872/3869775*x^6 - 1289118784/429975*x^5 + 150421734536/19348875*x^4 - 1636056328/131625*x^3 + 3956689966/363825*x^2 - 174156181/45045*x + 1

1/4

16

13:

-4096/212837625*x^13 + 4096/2338875*x^12 - 231424/3274425*x^11 + 99328/59535*x^10 - 4230784/165375*x^9 + 18962176/70875*x^8 - 116030464/59535*x^7 + 421729664/42525*x^6 - 51771834872/1488375*x^5 + 121187935352/1488375*x^4 - 130555960012/1091475*x^3 + 725873182/7425*x^2 - 5946009337/180180*x + 1

1/4

16

14:

16384/638512875*x^14 - 237568/91216125*x^13 + 118784/1002375*x^12 - 22409216/7016625*x^11 + 12066304/212625*x^10 - 148877056/212625*x^9 + 27471355648/4465125*x^8 - 24774673408/637875*x^7 + 15982198112/91125*x^6 - 355019681456/637875*x^5 + 934258198312/779625*x^4 - 1281205508344/779625*x^3 + 222695065171/175175*x^2 - 37094124773/90090*x + 1

1/4

16

15:

-32768/638512875*x^15 + 16384/2837835*x^14 - 69632/236925*x^13 + 126976/14175*x^12 - 182709248/1002375*x^11 + 7410176/2835*x^10 - 24265011328/893025*x^9 + 20580628736/99225*x^8 - 742686734144/637875*x^7 + 2700847136/567*x^6 - 2788742823704/200475*x^5 + 4356604818136/155925*x^4 - 233377049552438/6449625*x^3 + 51097271215/1911*x^2 - 301455130859/36036*x + 1

1/4

16

16:

131072/638512875*x^16 - 16252928/638512875*x^15 + 183894016/127702575*x^14 - 179634176/3648645*x^13 + 724516864/637875*x^12 - 131184705536/7016625*x^11 + 202152964096/893025*x^10 - 73158215680/35721*x^9 + 62160919035392/4465125*x^8 - 45202541579264/637875*x^7 + 374500582205696/1403325*x^6 - 203933202844288/280665*x^5 + 32542180567268704/23648625*x^4 - 120430195292292448/70945875*x^3 + 34576447074824/28665*x^2 - 3299810479436/9009*x + 1

1/3

1

0:

1

1/3

1

1:

-3*x + 1

1/3

2

0:

1

1/3

2

1:

-3/2*x + 1

1/3

2

2:

9/2*x^2 - 15/2*x + 1

1/3

3

0:

1

1/3

3

1:

-x + 1

1/3

3

2:

3/2*x^2 - 7/2*x + 1

1/3

3

3:

-9/2*x^3 + 18*x^2 - 33/2*x + 1

1/3

4

0:

1

1/3

4

1:

-3/4*x + 1

1/3

4

2:

3/4*x^2 - 9/4*x + 1

1/3

4

3:

-9/8*x^3 + 45/8*x^2 - 27/4*x + 1

1/3

4

4:

27/8*x^4 - 99/4*x^3 + 441/8*x^2 - 147/4*x + 1

1/3

5

0:

1

1/3

5

1:

-3/5*x + 1

1/3

5

2:

9/20*x^2 - 33/20*x + 1

1/3

5

3:

-9/20*x^3 + 27/10*x^2 - 81/20*x + 1

1/3

5

4:

27/40*x^4 - 117/20*x^3 + 621/40*x^2 - 51/4*x + 1

1/3

5

5:

-81/40*x^5 + 189/8*x^4 - 765/8*x^3 + 1251/8*x^2 - 1707/20*x + 1

1/3

6

0:

1

1/3

6

1:

-1/2*x + 1

1/3

6

2:

3/10*x^2 - 13/10*x + 1

1/3

6

3:

-9/40*x^3 + 63/40*x^2 - 57/20*x + 1

1/3

6

4:

9/40*x^4 - 9/4*x^3 + 279/40*x^2 - 139/20*x + 1

1/3

6

5:

-27/80*x^5 + 9/2*x^4 - 333/16*x^3 + 39*x^2 - 497/20*x + 1

1/3

6

6:

81/80*x^6 - 1377/80*x^5 + 1755/16*x^4 - 5175/16*x^3 + 2169/5*x^2 - 4137/20*x + 1

1/3

7

0:

1

1/3

7

1:

-3/7*x + 1

1/3

7

2:

3/14*x^2 - 15/14*x + 1

1/3

7

3:

-9/70*x^3 + 36/35*x^2 - 153/70*x + 1

1/3

7

4:

27/280*x^4 - 153/140*x^3 + 1089/280*x^2 - 129/28*x + 1

1/3

7

5:

-27/280*x^5 + 81/56*x^4 - 423/56*x^3 + 129/8*x^2 - 1689/140*x + 1

1/3

7

6:

81/560*x^6 - 1539/560*x^5 + 2187/112*x^4 - 7173/112*x^3 + 477/5*x^2 - 1017/20*x + 1

1/3

7

7:

-243/560*x^7 + 81/8*x^6 - 1863/20*x^5 + 3429/8*x^4 - 82251/80*x^3 + 4797/4*x^2 - 72699/140*x + 1

1/3

8

0:

1

1/3

8

1:

-3/8*x + 1

1/3

8

2:

9/56*x^2 - 51/56*x + 1

1/3

8

3:

-9/112*x^3 + 81/112*x^2 - 99/56*x + 1

1/3

8

4:

27/560*x^4 - 171/280*x^3 + 1377/560*x^2 - 951/280*x + 1

1/3

8

5:

-81/2240*x^5 + 135/224*x^4 - 225/64*x^3 + 1899/224*x^2 - 2073/280*x + 1

1/3

8

6:

81/2240*x^6 - 243/320*x^5 + 2673/448*x^4 - 9711/448*x^3 + 5751/160*x^2 - 6093/280*x + 1

1/3

8

7:

-243/4480*x^7 + 891/640*x^6 - 8991/640*x^5 + 9045/128*x^4 - 29529/160*x^3 + 37341/160*x^2 - 30633/280*x + 1

1/3

8

8:

729/4480*x^8 - 5589/1120*x^7 + 20007/320*x^6 - 32967/80*x^5 + 979263/640*x^4 - 506403/160*x^3 + 3724803/1120*x^2 - 375033/280*x + 1

1/3

9

0:

1

1/3

9

1:

-1/3*x + 1

1/3

9

2:

1/8*x^2 - 19/24*x + 1

1/3

9

3:

-3/56*x^3 + 15/28*x^2 - 83/56*x + 1

1/3

9

4:

3/112*x^4 - 3/8*x^3 + 27/16*x^2 - 449/168*x + 1

1/3

9

5:

-9/560*x^5 + 33/112*x^4 - 213/112*x^3 + 575/112*x^2 - 4349/840*x + 1

1/3

9

6:

27/2240*x^6 - 621/2240*x^5 + 153/64*x^4 - 4287/448*x^3 + 19749/1120*x^2 - 3413/280*x + 1

1/3

9

7:

-27/2240*x^7 + 27/80*x^6 - 297/80*x^5 + 651/32*x^4 - 18519/320*x^3 + 12771/160*x^2 - 34639/840*x + 1

1/3

9

8:

81/4480*x^8 - 135/224*x^7 + 2619/320*x^6 - 2331/40*x^5 + 149007/640*x^4 - 16503/32*x^3 + 646211/1120*x^2 - 206699/840*x + 1

1/3

9

9:

-243/4480*x^9 + 9477/4480*x^8 - 77517/2240*x^7 + 98739/320*x^6 - 1043037/640*x^5 + 3314979/640*x^4 - 5360427/560*x^3 + 10382031/1120*x^2 - 987393/280*x + 1

1/3

10

0:

1

1/3

10

1:

-3/10*x + 1

1/3

10

2:

1/10*x^2 - 7/10*x + 1

1/3

10

3:

-3/80*x^3 + 33/80*x^2 - 51/40*x + 1

1/3

10

4:

9/560*x^4 - 69/280*x^3 + 687/560*x^2 - 123/56*x + 1

1/3

10

5:

-9/1120*x^5 + 9/56*x^4 - 255/224*x^3 + 191/56*x^2 - 157/40*x + 1

1/3

10

6:

27/5600*x^6 - 27/224*x^5 + 1269/1120*x^4 - 159/32*x^3 + 14187/1400*x^2 - 447/56*x + 1

1/3

10

7:

-81/22400*x^7 + 351/3200*x^6 - 837/640*x^5 + 4977/640*x^4 - 1203/50*x^3 + 29031/800*x^2 - 5853/280*x + 1

1/3

10

8:

81/22400*x^8 - 729/5600*x^7 + 3051/1600*x^6 - 117/8*x^5 + 201087/3200*x^4 - 119553/800*x^3 + 1003799/5600*x^2 - 23017/280*x + 1

1/3

10

9:

-243/44800*x^9 + 729/3200*x^8 - 89667/22400*x^7 + 12231/320*x^6 - 1378701/6400*x^5 + 2328021/3200*x^4 - 15919299/11200*x^3 + 231399/160*x^2 - 160749/280*x + 1

1/3

10

10:

729/44800*x^10 - 7047/8960*x^9 + 3645/224*x^8 - 843939/4480*x^7 + 8564211/6400*x^6 - 7695729/1280*x^5 + 15192225/896*x^4 - 64186623/2240*x^3 + 145456893/5600*x^2 - 528153/56*x + 1

1/3

11

0:

1

1/3

11

1:

-3/11*x + 1

1/3

11

2:

9/110*x^2 - 69/110*x + 1

1/3

11

3:

-3/110*x^3 + 18/55*x^2 - 123/110*x + 1

1/3

11

4:

9/880*x^4 - 15/88*x^3 + 819/880*x^2 - 819/440*x + 1

1/3

11

5:

-27/6160*x^5 + 117/1232*x^4 - 129/176*x^3 + 2979/1232*x^2 - 879/280*x + 1

1/3

11

6:

27/12320*x^6 - 729/12320*x^5 + 135/224*x^4 - 645/224*x^3 + 19917/3080*x^2 - 17769/3080*x + 1

1/3

11

7:

-81/61600*x^7 + 189/4400*x^6 - 243/440*x^5 + 3123/880*x^4 - 104817/8800*x^3 + 21609/1100*x^2 - 39057/3080*x + 1

1/3

11

8:

243/246400*x^8 - 2349/61600*x^7 + 10557/17600*x^6 - 4347/880*x^5 + 802341/35200*x^4 - 512643/8800*x^3 + 4637133/61600*x^2 - 23175/616*x + 1

1/3

11

9:

-243/246400*x^9 + 2187/49280*x^8 - 102789/123200*x^7 + 149769/17600*x^6 - 1799901/35200*x^5 + 258633/1408*x^4 - 11725569/30800*x^3 + 25232121/61600*x^2 - 528651/3080*x + 1

1/3

11

10:

729/492800*x^10 - 7533/98560*x^9 + 41553/24640*x^8 - 1023273/49280*x^7 + 11010411/70400*x^6 - 10453131/14080*x^5 + 108553419/49280*x^4 - 96025221/24640*x^3 + 226446543/61600*x^2 - 77241/56*x + 1

1/3

11

11:

-2187/492800*x^11 + 729/2800*x^10 - 1701/256*x^9 + 12393/128*x^8 - 39807531/44800*x^7 + 8546229/1600*x^6 - 37947933/1792*x^5 + 48631455/896*x^4 - 136406259/1600*x^3 + 58514679/800*x^2 - 15729915/616*x + 1

1/3

12

0:

1

1/3

12

1:

-1/4*x + 1

1/3

12

2:

3/44*x^2 - 25/44*x + 1

1/3

12

3:

-9/440*x^3 + 117/440*x^2 - 219/220*x + 1

1/3

12

4:

3/440*x^4 - 27/220*x^3 + 321/440*x^2 - 71/44*x + 1

1/3

12

5:

-9/3520*x^5 + 21/352*x^4 - 351/704*x^3 + 633/352*x^2 - 1147/440*x + 1

1/3

12

6:

27/24640*x^6 - 783/24640*x^5 + 1719/4928*x^4 - 8901/4928*x^3 + 54729/12320*x^2 - 13719/3080*x + 1

1/3

12

7:

-27/49280*x^7 + 27/1408*x^6 - 1863/7040*x^5 + 2577/1408*x^4 - 11691/1760*x^3 + 4209/352*x^2 - 26639/3080*x + 1

1/3

12

8:

81/246400*x^8 - 837/61600*x^7 + 4023/17600*x^6 - 1773/880*x^5 + 350727/35200*x^4 - 240759/8800*x^3 + 2352447/61600*x^2 - 64663/3080*x + 1

1/3

12

9:

-243/985600*x^9 + 729/61600*x^8 - 116883/492800*x^7 + 567/220*x^6 - 2321541/140800*x^5 + 554553/8800*x^4 - 34216641/246400*x^3 + 244647/1540*x^2 - 219069/3080*x + 1

1/3

12

10:

243/985600*x^10 - 243/17920*x^9 + 31347/98560*x^8 - 409617/98560*x^7 + 4668597/140800*x^6 - 4684311/28160*x^5 + 25635699/49280*x^4 - 47642499/49280*x^3 + 29383929/30800*x^2 - 229717/616*x + 1

1/3

12

11:

-729/1971200*x^11 + 4131/179200*x^10 - 5589/8960*x^9 + 172287/17920*x^8 - 16680087/179200*x^7 + 15065109/25600*x^6 - 43818597/17920*x^5 + 58618449/8960*x^4 - 239161653/22400*x^3 + 13251027/1400*x^2 - 2089673/616*x + 1

1/3

12

12:

2187/1971200*x^12 - 2187/28160*x^11 + 429381/179200*x^10 - 768609/17920*x^9 + 88412391/179200*x^8 - 68362461/17920*x^7 + 3609319743/179200*x^6 - 184851153/2560*x^5 + 7663377573/44800*x^4 - 226413693/896*x^3 + 3186012087/15400*x^2 - 43010553/616*x + 1

1/3

13

0:

1

1/3

13

1:

-3/13*x + 1

1/3

13

2:

3/52*x^2 - 27/52*x + 1

1/3

13

3:

-9/572*x^3 + 63/286*x^2 - 513/572*x + 1

1/3

13

4:

27/5720*x^4 - 261/2860*x^3 + 3357/5720*x^2 - 4071/2860*x + 1

1/3

13

5:

-9/5720*x^5 + 45/1144*x^4 - 405/1144*x^3 + 1587/1144*x^2 - 6363/2860*x + 1

1/3

13

6:

27/45760*x^6 - 837/45760*x^5 + 1971/9152*x^4 - 11007/9152*x^3 + 73719/22880*x^2 - 20601/5720*x + 1

1/3

13

7:

-81/320320*x^7 + 27/2860*x^6 - 1593/11440*x^5 + 4725/4576*x^4 - 184797/45760*x^3 + 13923/1760*x^2 - 255867/40040*x + 1

1/3

13

8:

81/640640*x^8 - 81/14560*x^7 + 351/3520*x^6 - 1341/1430*x^5 + 453807/91520*x^4 - 334287/22880*x^3 + 320997/14560*x^2 - 536427/40040*x + 1

1/3

13

9:

-243/3203200*x^9 + 12393/3203200*x^8 - 131949/1601600*x^7 + 217647/228800*x^6 - 2959821/457600*x^5 + 1093581/41600*x^4 - 24692229/400400*x^3 + 60315543/800800*x^2 - 1458243/40040*x + 1

1/3

13

10:

729/12812800*x^10 - 243/73216*x^9 + 21141/256256*x^8 - 112509/98560*x^7 + 1356507/140800*x^6 - 287631/5632*x^5 + 21592413/128128*x^4 - 30194397/91520*x^3 + 137081187/400400*x^2 - 1127289/8008*x + 1

1/3

13

11:

-729/12812800*x^11 + 2187/582400*x^10 - 25029/232960*x^9 + 101817/58240*x^8 - 20776257/1164800*x^7 + 9866853/83200*x^6 - 120427371/232960*x^5 + 21063537/14560*x^4 - 716535801/291200*x^3 + 82388037/36400*x^2 - 6706233/8008*x + 1

1/3

13

12:

2187/25625600*x^12 - 80919/12812800*x^11 + 478953/2329600*x^10 - 180549/46592*x^9 + 15583833/332800*x^8 - 441892827/1164800*x^7 + 4874788899/2329600*x^6 - 363956247/46592*x^5 + 11180484513/582400*x^4 - 8530282161/291200*x^3 + 705021093/28600*x^2 - 5237433/616*x + 1

1/3

13

13:

-6561/25625600*x^13 + 41553/1971200*x^12 - 1524339/1971200*x^11 + 2988171/179200*x^10 - 42072291/179200*x^9 + 58030587/25600*x^8 - 2747826747/179200*x^7 + 13064048793/179200*x^6 - 21546482841/89600*x^5 + 23882523867/44800*x^4 - 184119171543/246400*x^3 + 646208613/1100*x^2 - 1541240157/8008*x + 1

1/3

14

0:

1

1/3

14

1:

-3/14*x + 1

1/3

14

2:

9/182*x^2 - 87/182*x + 1

1/3

14

3:

-9/728*x^3 + 135/728*x^2 - 297/364*x + 1

1/3

14

4:

27/8008*x^4 - 279/4004*x^3 + 27/56*x^2 - 5097/4004*x + 1

1/3

14

5:

-81/80080*x^5 + 27/1001*x^4 - 4167/16016*x^3 + 315/286*x^2 - 38811/20020*x + 1

1/3

14

6:

27/80080*x^6 - 81/7280*x^5 + 2241/16016*x^4 - 13437/16016*x^3 + 3483/1430*x^2 - 783/260*x + 1

1/3

14

7:

-81/640640*x^7 + 459/91520*x^6 - 7209/91520*x^5 + 11421/18304*x^4 - 29979/11440*x^3 + 127359/22880*x^2 - 200037/40040*x + 1

1/3

14

8:

243/4484480*x^8 - 81/32032*x^7 + 15417/320320*x^6 - 1377/2860*x^5 + 1739421/640640*x^4 - 39213/4576*x^3 + 15660873/1121120*x^2 - 376107/40040*x + 1

1/3

14

9:

-243/8968960*x^9 + 6561/4484480*x^8 - 21141/640640*x^7 + 129357/320320*x^6 - 3732237/1281280*x^5 + 8056827/640640*x^4 - 6404049/203840*x^3 + 46047123/1121120*x^2 - 865647/40040*x + 1

1/3

14

10:

729/44844800*x^10 - 8991/8968960*x^9 + 59049/2242240*x^8 - 7047/18304*x^7 + 21987531/6406400*x^6 - 2237787/116480*x^5 + 300129867/4484480*x^4 - 62025939/448448*x^3 + 849902463/5605600*x^2 - 530403/8008*x + 1

1/3

14

11:

-2187/179379200*x^11 + 13851/16307200*x^10 - 10449/407680*x^9 + 716607/1630720*x^8 - 1570509/332800*x^7 + 76835709/2329600*x^6 - 246077109/1630720*x^5 + 360724509/815360*x^4 - 1603205649/2038400*x^3 + 192122649/254800*x^2 - 2322777/8008*x + 1

1/3

14

12:

2187/179379200*x^12 - 6561/6899200*x^11 + 531441/16307200*x^10 - 150417/232960*x^9 + 133522911/16307200*x^8 - 80935767/1164800*x^7 + 6532420203/16307200*x^6 - 2542345461/1630720*x^5 + 16235733393/4076800*x^4 - 1832785281/291200*x^3 + 956744109/175175*x^2 - 15474861/8008*x + 1

1/3

14

13:

-6561/358758400*x^13 + 2187/1379840*x^12 - 1686177/27596800*x^11 + 866781/627200*x^10 - 7299963/358400*x^9 + 3680721/17920*x^8 - 3631612401/2508800*x^7 + 4484709423/627200*x^6 - 3830673627/156800*x^5 + 1753150419/31360*x^4 - 19853733951/246400*x^3 + 1997438319/30800*x^2 - 173311881/8008*x + 1

1/3

14

14:

19683/358758400*x^14 - 269001/51251200*x^13 + 80919/358400*x^12 - 22751361/3942400*x^11 + 34969401/358400*x^10 - 411925581/358400*x^9 + 24273870939/2508800*x^8 - 21048234993/358400*x^7 + 11465915553/44800*x^6 - 35248451589/44800*x^5 + 405966245409/246400*x^4 - 543668060151/246400*x^3 + 426516170499/254800*x^2 - 4277098425/8008*x + 1

1/3

15

0:

1

1/3

15

1:

-1/5*x + 1

1/3

15

2:

3/70*x^2 - 31/70*x + 1

1/3

15

3:

-9/910*x^3 + 72/455*x^2 - 681/910*x + 1

1/3

15

4:

9/3640*x^4 - 99/1820*x^3 + 1467/3640*x^2 - 419/364*x + 1

1/3

15

5:

-27/40040*x^5 + 153/8008*x^4 - 225/1144*x^3 + 7167/8008*x^2 - 34369/20020*x + 1

1/3

15

6:

81/400400*x^6 - 81/11440*x^5 + 7587/80080*x^4 - 9729/16016*x^3 + 13599/7150*x^2 - 51699/20020*x + 1

1/3

15

7:

-27/400400*x^7 + 81/28600*x^6 - 27/572*x^5 + 207/520*x^4 - 102339/57200*x^3 + 5337/1300*x^2 - 81479/20020*x + 1

1/3

15

8:

81/3203200*x^8 - 999/800800*x^7 + 5751/228800*x^6 - 3051/11440*x^5 + 732087/457600*x^4 - 617373/114400*x^3 + 7597659/800800*x^2 - 282203/40040*x + 1

1/3

15

9:

-243/22422400*x^9 + 13851/22422400*x^8 - 23571/1601600*x^7 + 60993/320320*x^6 - 4657581/3203200*x^5 + 21331917/3203200*x^4 - 49633047/2802800*x^3 + 27815373/1121120*x^2 - 51993/3640*x + 1

1/3

15

10:

243/44844800*x^10 - 243/689920*x^9 + 2187/224224*x^8 - 96309/640640*x^7 + 9053937/6406400*x^6 - 10693377/1281280*x^5 + 27528363/896896*x^4 - 150339591/2242240*x^3 + 436791231/5605600*x^2 - 208729/5720*x + 1

1/3

15

11:

-729/224224000*x^11 + 243/1019200*x^10 - 30861/4076800*x^9 + 55647/407680*x^8 - 640953/416000*x^7 + 823527/72800*x^6 - 221487939/4076800*x^5 + 68105259/407680*x^4 - 1585686591/5096000*x^3 + 12240429/39200*x^2 - 5041847/40040*x + 1

1/3

15

12:

2187/896896000*x^12 - 89667/448448000*x^11 + 16767/2329600*x^10 - 1220103/8153600*x^9 + 162187191/81536000*x^8 - 102922893/5824000*x^7 + 1736764011/16307200*x^6 - 271281069/627200*x^5 + 3350031939/2912000*x^4 - 19242319563/10192000*x^3 + 237613023/140140*x^2 - 24765969/40040*x + 1

1/3

15

13:

-2187/896896000*x^13 + 2187/9856000*x^12 - 618921/68992000*x^11 + 266571/1254400*x^10 - 2934711/896000*x^9 + 216274617/6272000*x^8 - 1588237713/6272000*x^7 + 233059599/179200*x^6 - 14452372107/3136000*x^5 + 17099580591/1568000*x^4 - 19956035331/1232000*x^3 + 1442401407/107800*x^2 - 36519797/8008*x + 1

1/3

15

14:

6561/1793792000*x^14 - 94041/256256000*x^13 + 325863/19712000*x^12 - 1741581/3942400*x^11 + 13967883/1792000*x^10 - 171375021/1792000*x^9 + 10496028033/12544000*x^8 - 1887430653/358400*x^7 + 332304687/14000*x^6 - 16857048699/224000*x^5 + 199604263833/1232000*x^4 - 54774689031/246400*x^3 + 482427619593/2802800*x^2 - 2234488253/40040*x + 1

1/3

15

15:

-19683/1793792000*x^15 + 19683/16307200*x^14 - 308367/5125120*x^13 + 3545127/1971200*x^12 - 5535297/154000*x^11 + 90853083/179200*x^10 - 1302536133/250880*x^9 + 49045365297/1254400*x^8 - 388576542789/1792000*x^7 + 1966034349/2240*x^6 - 50056575453/19712*x^5 + 28336150971/5600*x^4 - 729795358091817/112112000*x^3 + 13409575277031/2802800*x^2 - 59687507877/40040*x + 1

1/3

16

0:

1

1/3

16

1:

-3/16*x + 1

1/3

16

2:

3/80*x^2 - 33/80*x + 1

1/3

16

3:

-9/1120*x^3 + 153/1120*x^2 - 387/560*x + 1

1/3

16

4:

27/14560*x^4 - 9/208*x^3 + 711/2080*x^2 - 7647/7280*x + 1

1/3

16

5:

-27/58240*x^5 + 81/5824*x^4 - 1773/11648*x^3 + 4317/5824*x^2 - 11211/7280*x + 1

1/3

16

6:

81/640640*x^6 - 2997/640640*x^5 + 1215/18304*x^4 - 58095/128128*x^3 + 488277/320320*x^2 - 180801/80080*x + 1

1/3

16

7:

-243/6406400*x^7 + 1539/915200*x^6 - 5427/183040*x^5 + 48573/183040*x^4 - 291069/228800*x^3 + 718749/228800*x^2 - 24891/7280*x + 1

1/3

16

8:

81/6406400*x^8 - 81/123200*x^7 + 6399/457600*x^6 - 3591/22880*x^5 + 914247/915200*x^4 - 822051/228800*x^3 + 837327/123200*x^2 - 445161/80080*x + 1

1/3

16

9:

-243/51251200*x^9 + 729/2562560*x^8 - 182979/25625600*x^7 + 89181/915200*x^6 - 5755941/7321600*x^5 + 279207/73216*x^4 - 138160593/12812800*x^3 + 51863949/3203200*x^2 - 817911/80080*x + 1

1/3

16

10:

729/358758400*x^10 - 9963/71751680*x^9 + 145071/35875840*x^8 - 336069/5125120*x^7 + 2558547/3942400*x^6 - 41395293/10250240*x^5 + 17570277/1121120*x^4 - 649550961/17937920*x^3 + 91170819/2038400*x^2 - 139287/6160*x + 1

1/3

16

11:

-729/717516800*x^11 + 729/9318400*x^10 - 243/93184*x^9 + 64395/1304576*x^8 - 5449761/9318400*x^7 + 41995017/9318400*x^6 - 11397753/501760*x^5 + 6830973/93184*x^4 - 166956039/1164800*x^3 + 308104779/2038400*x^2 - 5160171/80080*x + 1

1/3

16

12:

2187/3587584000*x^12 - 94041/1793792000*x^11 + 129033/65228800*x^10 - 1405269/32614400*x^9 + 195575391/326144000*x^8 - 129842919/23296000*x^7 + 458034831/13045760*x^6 - 4855581531/32614400*x^5 + 33666012423/81536000*x^4 - 28756439109/40768000*x^3 + 14755664961/22422400*x^2 - 3989151/16016*x + 1

1/3

16

13:

-6561/14350336000*x^13 + 2187/50176000*x^12 - 41553/22528000*x^11 + 458541/10035200*x^10 - 73829961/100352000*x^9 + 405505521/50176000*x^8 - 6205633641/100352000*x^7 + 663101559/2007040*x^6 - 4356456129/3584000*x^5 + 37374482673/12544000*x^4 - 78842782143/17248000*x^3 + 609394041/156800*x^2 - 108719319/80080*x + 1

1/3

16

14:

6561/14350336000*x^14 - 19683/410009600*x^13 + 356481/157696000*x^12 - 1420821/22528000*x^11 + 16633593/14336000*x^10 - 8498439/573440*x^9 + 13523872671/100352000*x^8 - 12613628691/14336000*x^7 + 29424585933/7168000*x^6 - 1376184843/102400*x^5 + 587303914167/19712000*x^4 - 51695711559/1232000*x^3 + 744944675667/22422400*x^2 - 878170287/80080*x + 1

1/3

16

15:

-19683/28700672000*x^15 + 452709/5740134400*x^14 - 3365793/820019200*x^13 + 1152549/9011200*x^12 - 839136591/315392000*x^11 + 44721963/1146880*x^10 - 16624236771/40140800*x^9 + 129578814693/40140800*x^8 - 132533460441/7168000*x^7 + 1973975427/25600*x^6 - 112981062087/492800*x^5 + 1845603434223/3942400*x^4 - 137954076341049/224224000*x^3 + 10322994785463/22422400*x^2 - 11650603959/80080*x + 1

1/3

16

16:

59049/28700672000*x^16 - 925101/3587584000*x^15 + 846369/57401344*x^14 - 1305639/2562560*x^13 + 1873268289/157696000*x^12 - 3894506811/19712000*x^11 + 24249704589/10035200*x^10 - 2769503319/125440*x^9 + 30406094594199/200704000*x^8 - 2788736100993/3584000*x^7 + 23299597021383/7884800*x^6 - 1598331010329/197120*x^5 + 27739794586224681/1793792000*x^4 - 4304007625024269/224224000*x^3 + 307451005404903/22422400*x^2 - 334823854359/80080*x + 1

1/2

1

0:

1

1/2

1

1:

-2*x + 1

1/2

2

0:

1

1/2

2

1:

-x + 1

1/2

2

2:

2*x^2 - 4*x + 1

1/2

3

0:

1

1/2

3

1:

-2/3*x + 1

1/2

3

2:

2/3*x^2 - 2*x + 1

1/2

3

3:

-4/3*x^3 + 6*x^2 - 20/3*x + 1

1/2

4

0:

1

1/2

4

1:

-1/2*x + 1

1/2

4

2:

1/3*x^2 - 4/3*x + 1

1/2

4

3:

-1/3*x^3 + 2*x^2 - 19/6*x + 1

1/2

4

4:

2/3*x^4 - 16/3*x^3 + 40/3*x^2 - 32/3*x + 1

1/2

5

0:

1

1/2

5

1:

-2/5*x + 1

1/2

5

2:

1/5*x^2 - x + 1

1/2

5

3:

-2/15*x^3 + x^2 - 31/15*x + 1

1/2

5

4:

2/15*x^4 - 4/3*x^3 + 64/15*x^2 - 14/3*x + 1

1/2

5

5:

-4/15*x^5 + 10/3*x^4 - 44/3*x^3 + 80/3*x^2 - 256/15*x + 1

1/2

6

0:

1

1/2

6

1:

-1/3*x + 1

1/2

6

2:

2/15*x^2 - 4/5*x + 1

1/2

6

3:

-1/15*x^3 + 3/5*x^2 - 23/15*x + 1

1/2

6

4:

2/45*x^4 - 8/15*x^3 + 94/45*x^2 - 44/15*x + 1

1/2

6

5:

-2/45*x^5 + 2/3*x^4 - 32/9*x^3 + 8*x^2 - 101/15*x + 1

1/2

6

6:

4/45*x^6 - 8/5*x^5 + 98/9*x^4 - 104/3*x^3 + 2296/45*x^2 - 416/15*x + 1

1/2

7

0:

1

1/2

7

1:

-2/7*x + 1

1/2

7

2:

2/21*x^2 - 2/3*x + 1

1/2

7

3:

-4/105*x^3 + 2/5*x^2 - 128/105*x + 1

1/2

7

4:

2/105*x^4 - 4/15*x^3 + 26/21*x^2 - 32/15*x + 1

1/2

7

5:

-4/315*x^5 + 2/9*x^4 - 88/63*x^3 + 34/9*x^2 - 422/105*x + 1

1/2

7

6:

4/315*x^6 - 4/15*x^5 + 134/63*x^4 - 8*x^3 + 4456/315*x^2 - 146/15*x + 1

1/2

7

7:

-8/315*x^7 + 28/45*x^6 - 272/45*x^5 + 266/9*x^4 - 3416/45*x^3 + 4312/45*x^2 - 4832/105*x + 1

1/2

8

0:

1

1/2

8

1:

-1/4*x + 1

1/2

8

2:

1/14*x^2 - 4/7*x + 1

1/2

8

3:

-1/42*x^3 + 2/7*x^2 - 85/84*x + 1

1/2

8

4:

1/105*x^4 - 16/105*x^3 + 86/105*x^2 - 176/105*x + 1

1/2

8

5:

-1/210*x^5 + 2/21*x^4 - 29/42*x^3 + 46/21*x^2 - 1193/420*x + 1

1/2

8

6:

1/315*x^6 - 8/105*x^5 + 44/63*x^4 - 64/21*x^3 + 4013/630*x^2 - 572/105*x + 1

1/2

8

7:

-1/315*x^7 + 4/45*x^6 - 89/90*x^5 + 50/9*x^4 - 742/45*x^3 + 1096/45*x^2 - 5993/420*x + 1

1/2

8

8:

2/315*x^8 - 64/315*x^7 + 8/3*x^6 - 832/45*x^5 + 1088/15*x^4 - 7168/45*x^3 + 11264/63*x^2 - 8192/105*x + 1

1/2

9

0:

1

1/2

9

1:

-2/9*x + 1

1/2

9

2:

1/18*x^2 - 1/2*x + 1

1/2

9

3:

-1/63*x^3 + 3/14*x^2 - 109/126*x + 1

1/2

9

4:

1/189*x^4 - 2/21*x^3 + 110/189*x^2 - 29/21*x + 1

1/2

9

5:

-2/945*x^5 + 1/21*x^4 - 74/189*x^3 + 10/7*x^2 - 691/315*x + 1

1/2

9

6:

1/945*x^6 - 1/35*x^5 + 8/27*x^4 - 31/21*x^3 + 6773/1890*x^2 - 779/210*x + 1

1/2

9

7:

-2/2835*x^7 + 1/45*x^6 - 113/405*x^5 + 16/9*x^4 - 2444/405*x^3 + 311/30*x^2 - 4667/630*x + 1

1/2

9

8:

2/2835*x^8 - 8/315*x^7 + 152/405*x^6 - 44/15*x^5 + 5264/405*x^4 - 1456/45*x^3 + 39232/945*x^2 - 2242/105*x + 1

1/2

9

9:

-4/2835*x^9 + 2/35*x^8 - 184/189*x^7 + 136/15*x^6 - 6772/135*x^5 + 2512/15*x^4 - 184816/567*x^3 + 35008/105*x^2 - 42496/315*x + 1

1/2

10

0:

1

1/2

10

1:

-1/5*x + 1

1/2

10

2:

2/45*x^2 - 4/9*x + 1

1/2

10

3:

-1/90*x^3 + 1/6*x^2 - 34/45*x + 1

1/2

10

4:

1/315*x^4 - 4/63*x^3 + 137/315*x^2 - 74/63*x + 1

1/2

10

5:

-1/945*x^5 + 5/189*x^4 - 46/189*x^3 + 190/189*x^2 - 563/315*x + 1

1/2

10

6:

2/4725*x^6 - 4/315*x^5 + 139/945*x^4 - 52/63*x^3 + 10823/4725*x^2 - 14/5*x + 1

1/2

10

7:

-1/4725*x^7 + 1/135*x^6 - 14/135*x^5 + 20/27*x^4 - 3839/1350*x^3 + 1517/270*x^2 - 506/105*x + 1

1/2

10

8:

2/14175*x^8 - 16/2835*x^7 + 188/2025*x^6 - 328/405*x^5 + 8144/2025*x^4 - 4576/405*x^3 + 78418/4725*x^2 - 3212/315*x + 1

1/2

10

9:

-2/14175*x^9 + 2/315*x^8 - 568/4725*x^7 + 56/45*x^6 - 5168/675*x^5 + 256/9*x^4 - 874816/14175*x^3 + 7424/105*x^2 - 10303/315*x + 1

1/2

10

10:

4/14175*x^10 - 8/567*x^9 + 286/945*x^8 - 688/189*x^7 + 18172/675*x^6 - 17032/135*x^5 + 1053712/2835*x^4 - 372448/567*x^3 + 981376/1575*x^2 - 74752/315*x + 1

1/2

11

0:

1

1/2

11

1:

-2/11*x + 1

1/2

11

2:

2/55*x^2 - 2/5*x + 1

1/2

11

3:

-4/495*x^3 + 2/15*x^2 - 332/495*x + 1

1/2

11

4:

1/495*x^4 - 2/45*x^3 + 167/495*x^2 - 46/45*x + 1

1/2

11

5:

-2/3465*x^5 + 1/63*x^4 - 16/99*x^3 + 47/63*x^2 - 5228/3465*x + 1

1/2

11

6:

2/10395*x^6 - 2/315*x^5 + 169/2079*x^4 - 32/63*x^3 + 16523/10395*x^2 - 236/105*x + 1

1/2

11

7:

-4/51975*x^7 + 2/675*x^6 - 68/1485*x^5 + 49/135*x^4 - 11578/7425*x^3 + 2363/675*x^2 - 4082/1155*x + 1

1/2

11

8:

2/51975*x^8 - 8/4725*x^7 + 76/2475*x^6 - 8/27*x^5 + 368/225*x^4 - 3476/675*x^3 + 40694/4725*x^2 - 44/7*x + 1

1/2

11

9:

-4/155925*x^9 + 2/1575*x^8 - 1376/51975*x^7 + 68/225*x^6 - 15256/7425*x^5 + 1904/225*x^4 - 3191072/155925*x^3 + 4626/175*x^2 - 49514/3465*x + 1

1/2

11

10:

4/155925*x^10 - 4/2835*x^9 + 346/10395*x^8 - 416/945*x^7 + 26572/7425*x^6 - 2488/135*x^5 + 1860112/31185*x^4 - 328352/2835*x^3 + 2094976/17325*x^2 - 16162/315*x + 1

1/2

11

11:

-8/155925*x^11 + 44/14175*x^10 - 232/2835*x^9 + 1166/945*x^8 - 55448/4725*x^7 + 49412/675*x^6 - 170936/567*x^5 + 2276912/2835*x^4 - 18586528/14175*x^3 + 1840256/1575*x^2 - 1467392/3465*x + 1

1/2

12

0:

1

1/2

12

1:

-1/6*x + 1

1/2

12

2:

1/33*x^2 - 4/11*x + 1

1/2

12

3:

-1/165*x^3 + 6/55*x^2 - 199/330*x + 1

1/2

12

4:

2/1485*x^4 - 16/495*x^3 + 80/297*x^2 - 448/495*x + 1

1/2

12

5:

-1/2970*x^5 + 1/99*x^4 - 67/594*x^3 + 19/33*x^2 - 431/330*x + 1

1/2

12

6:

1/10395*x^6 - 4/1155*x^5 + 101/2079*x^4 - 232/693*x^3 + 12139/10395*x^2 - 6508/3465*x + 1

1/2

12

7:

-1/31185*x^7 + 2/1485*x^6 - 203/8910*x^5 + 59/297*x^4 - 8429/8910*x^3 + 1181/495*x^2 - 19291/6930*x + 1

1/2

12

8:

2/155925*x^8 - 32/51975*x^7 + 272/22275*x^6 - 64/495*x^5 + 1594/2025*x^4 - 20464/7425*x^3 + 24592/4725*x^2 - 15424/3465*x + 1

1/2

12

9:

-1/155925*x^9 + 2/5775*x^8 - 82/10395*x^7 + 244/2475*x^6 - 5464/7425*x^5 + 752/225*x^4 - 279997/31185*x^3 + 20582/1575*x^2 - 57427/6930*x + 1

1/2

12

10:

2/467775*x^10 - 8/31185*x^9 + 206/31185*x^8 - 992/10395*x^7 + 18896/22275*x^6 - 2368/495*x^5 + 1589792/93555*x^4 - 1133824/31185*x^3 + 2192423/51975*x^2 - 70892/3465*x + 1

1/2

12

11:

-2/467775*x^11 + 4/14175*x^10 - 23/2835*x^9 + 2/15*x^8 - 19582/14175*x^7 + 6332/675*x^6 - 357352/8505*x^5 + 344752/2835*x^4 - 3053824/14175*x^3 + 15616/75*x^2 - 570499/6930*x + 1

1/2

12

12:

4/467775*x^12 - 32/51975*x^11 + 832/42525*x^10 - 1024/2835*x^9 + 60814/14175*x^8 - 162016/4725*x^7 + 7963696/42525*x^6 - 656576/945*x^5 + 72429344/42525*x^4 - 36879616/14175*x^3 + 114303488/51975*x^2 - 2650112/3465*x + 1

1/2

13

0:

1

1/2

13

1:

-2/13*x + 1

1/2

13

2:

1/39*x^2 - 1/3*x + 1

1/2

13

3:

-2/429*x^3 + 1/11*x^2 - 235/429*x + 1

1/2

13

4:

2/2145*x^4 - 4/165*x^3 + 472/2145*x^2 - 134/165*x + 1

1/2

13

5:

-4/19305*x^5 + 2/297*x^4 - 316/3861*x^3 + 136/297*x^2 - 7412/6435*x + 1

1/2

13

6:

1/19305*x^6 - 1/495*x^5 + 119/3861*x^4 - 23/99*x^3 + 17269/19305*x^2 - 799/495*x + 1

1/2

13

7:

-2/135135*x^7 + 1/1485*x^6 - 239/19305*x^5 + 35/297*x^4 - 11909/19305*x^3 + 2569/1485*x^2 - 103429/45045*x + 1

1/2

13

8:

2/405405*x^8 - 8/31185*x^7 + 64/11583*x^6 - 284/4455*x^5 + 24614/57915*x^4 - 7316/4455*x^3 + 93784/27027*x^2 - 3956/1155*x + 1

1/2

13

9:

-4/2027025*x^9 + 2/17325*x^8 - 1928/675675*x^7 + 32/825*x^6 - 30496/96525*x^5 + 118/75*x^4 - 9467636/2027025*x^3 + 12008/1575*x^2 - 50734/9009*x + 1

1/2

13

10:

2/2027025*x^10 - 2/31185*x^9 + 22/12285*x^8 - 292/10395*x^7 + 26216/96525*x^6 - 496/297*x^5 + 2632064/405405*x^4 - 477034/31185*x^3 + 1485481/75075*x^2 - 38447/3465*x + 1

1/2

13

11:

-4/6081075*x^11 + 2/42525*x^10 - 2/1365*x^9 + 74/2835*x^8 - 54044/184275*x^7 + 4376/2025*x^6 - 1162256/110565*x^5 + 281408/8505*x^4 - 11776768/184275*x^3 + 320003/4725*x^2 - 1350311/45045*x + 1

1/2

13

12:

4/6081075*x^12 - 8/155925*x^11 + 976/552825*x^10 - 20/567*x^9 + 83494/184275*x^8 - 18488/4725*x^7 + 12750688/552825*x^6 - 261472/2835*x^5 + 134484704/552825*x^4 - 5655808/14175*x^3 + 244166144/675675*x^2 - 467162/3465*x + 1

1/2

13

13:

-8/6081075*x^13 + 52/467775*x^12 - 56/13365*x^11 + 3952/42525*x^10 - 2728/2025*x^9 + 189982/14175*x^8 - 795016/8505*x^7 + 19492096/42525*x^6 - 9473248/6075*x^5 + 151535072/42525*x^4 - 22911232/4455*x^3 + 215940608/51975*x^2 - 62836736/45045*x + 1

1/2

14

0:

1

1/2

14

1:

-1/7*x + 1

1/2

14

2:

2/91*x^2 - 4/13*x + 1

1/2

14

3:

-1/273*x^3 + 1/13*x^2 - 137/273*x + 1

1/2

14

4:

2/3003*x^4 - 8/429*x^3 + 50/273*x^2 - 316/429*x + 1

1/2

14

5:

-2/15015*x^5 + 2/429*x^4 - 184/3003*x^3 + 160/429*x^2 - 15473/15015*x + 1

1/2

14

6:

4/135135*x^6 - 8/6435*x^5 + 554/27027*x^4 - 24/143*x^3 + 95596/135135*x^2 - 9112/6435*x + 1

1/2

14

7:

-1/135135*x^7 + 7/19305*x^6 - 139/19305*x^5 + 287/3861*x^4 - 8197/19305*x^3 + 2303/1755*x^2 - 88069/45045*x + 1

1/2

14

8:

2/945945*x^8 - 16/135135*x^7 + 124/45045*x^6 - 664/19305*x^5 + 3746/15015*x^4 - 20392/19305*x^3 + 2341876/945945*x^2 - 11384/4095*x + 1

1/2

14

9:

-2/2837835*x^9 + 2/45045*x^8 - 32/27027*x^7 + 112/6435*x^6 - 20786/135135*x^5 + 5374/6435*x^4 - 1545944/567567*x^3 + 223136/45045*x^2 - 189779/45045*x + 1

1/2

14

10:

4/14189175*x^10 - 8/405405*x^9 + 562/945945*x^8 - 272/27027*x^7 + 71152/675675*x^6 - 13568/19305*x^5 + 8453314/2837835*x^4 - 624872/81081*x^3 + 17498606/1576575*x^2 - 323996/45045*x + 1

1/2

14

11:

-2/14189175*x^11 + 2/184275*x^10 - 94/257985*x^9 + 86/12285*x^8 - 5216/61425*x^7 + 5936/8775*x^6 - 919648/257985*x^5 + 449312/36855*x^4 - 33168757/1289925*x^3 + 615463/20475*x^2 - 682061/45045*x + 1

1/2

14

12:

4/42567525*x^12 - 16/2027025*x^11 + 1132/3869775*x^10 - 232/36855*x^9 + 112354/1289925*x^8 - 16592/20475*x^7 + 19918576/3869775*x^6 - 817664/36855*x^5 + 244233824/3869775*x^4 - 20598016/184275*x^3 + 518728718/4729725*x^2 - 2024996/45045*x + 1

1/2

14

13:

-4/42567525*x^13 + 4/467775*x^12 - 1136/3274425*x^11 + 352/42525*x^10 - 158/1225*x^9 + 19534/14175*x^8 - 3069088/297675*x^7 + 329008/6075*x^6 - 58649888/297675*x^5 + 20429984/42525*x^4 - 805336832/1091475*x^3 + 32864768/51975*x^2 - 10127651/45045*x + 1

1/2

14

14:

8/42567525*x^14 - 16/868725*x^13 + 76/93555*x^12 - 1424/66825*x^11 + 2248/6075*x^10 - 112/25*x^9 + 2308822/59535*x^8 - 10296304/42525*x^7 + 46154384/42525*x^6 - 20842112/6075*x^5 + 98648864/13365*x^4 - 225897728/22275*x^3 + 37253047808/4729725*x^2 - 115552256/45045*x + 1

1/2

15

0:

1

1/2

15

1:

-2/15*x + 1

1/2

15

2:

2/105*x^2 - 2/7*x + 1

1/2

15

3:

-4/1365*x^3 + 6/91*x^2 - 632/1365*x + 1

1/2

15

4:

2/4095*x^4 - 4/273*x^3 + 634/4095*x^2 - 184/273*x + 1

1/2

15

5:

-4/45045*x^5 + 10/3003*x^4 - 424/9009*x^3 + 310/1001*x^2 - 14002/15015*x + 1

1/2

15

6:

4/225225*x^6 - 4/5005*x^5 + 58/4095*x^4 - 376/3003*x^3 + 129196/225225*x^2 - 18946/15015*x + 1

1/2

15

7:

-8/2027025*x^7 + 4/19305*x^6 - 256/57915*x^5 + 190/3861*x^4 - 88256/289575*x^3 + 6628/6435*x^2 - 6976/4095*x + 1

1/2

15

8:

2/2027025*x^8 - 8/135135*x^7 + 428/289575*x^6 - 128/6435*x^5 + 45194/289575*x^4 - 13888/19305*x^3 + 417836/225225*x^2 - 11712/5005*x + 1

1/2

15

9:

-4/14189175*x^9 + 2/105105*x^8 - 368/675675*x^7 + 388/45045*x^6 - 55516/675675*x^5 + 4358/9009*x^4 - 24452312/14189175*x^3 + 1093156/315315*x^2 - 21578/6435*x + 1

1/2

15

10:

4/42567525*x^10 - 4/567567*x^9 + 646/2837835*x^8 - 16/3861*x^7 + 94672/2027025*x^6 - 15172/45045*x^5 + 13193182/8513505*x^4 - 2488664/567567*x^3 + 33118126/4729725*x^2 - 234518/45045*x + 1

1/2

15

11:

-8/212837625*x^11 + 4/1289925*x^10 - 16/143325*x^9 + 22/9555*x^8 - 304/10125*x^7 + 15824/61425*x^6 - 5673088/3869775*x^5 + 280454/51597*x^4 - 80675876/6449625*x^3 + 2315438/143325*x^2 - 83896/9009*x + 1

1/2

15

12:

4/212837625*x^12 - 8/4729725*x^11 + 4/59535*x^10 - 80/51597*x^9 + 148474/6449625*x^8 - 14128/61425*x^7 + 6077936/3869775*x^6 - 626816/85995*x^5 + 432944864/19348875*x^4 - 55372228/1289925*x^3 + 217483306/4729725*x^2 - 950648/45045*x + 1

1/2

15

13:

-8/638512875*x^13 + 4/3274425*x^12 - 2608/49116375*x^11 + 404/297675*x^10 - 33716/1488375*x^9 + 2858/11025*x^8 - 9274064/4465125*x^7 + 3477424/297675*x^6 - 203154496/4465125*x^5 + 7070048/59535*x^4 - 1065573632/5457375*x^3 + 65255698/363825*x^2 - 621070/9009*x + 1

1/2

15

14:

8/638512875*x^14 - 8/6081075*x^13 + 436/7016625*x^12 - 272/155925*x^11 + 328/10125*x^10 - 44/105*x^9 + 17287106/4465125*x^8 - 1095632/42525*x^7 + 78397168/637875*x^6 - 5848768/14175*x^5 + 314234656/334125*x^4 - 212797184/155925*x^3 + 5274850816/4729725*x^2 - 17155958/45045*x + 1

1/2

15

15:

-16/638512875*x^15 + 8/2837835*x^14 - 2624/18243225*x^13 + 412/93555*x^12 - 632992/7016625*x^11 + 7928/6075*x^10 - 12244928/893025*x^9 + 701014/6615*x^8 - 384763408/637875*x^7 + 106534928/42525*x^6 - 10431111808/1403325*x^5 + 40560032/2673*x^4 - 1416651904256/70945875*x^3 + 70848976384/4729725*x^2 - 42790912/9009*x + 1

1/2

16

0:

1

1/2

16

1:

-1/8*x + 1

1/2

16

2:

1/60*x^2 - 4/15*x + 1

1/2

16

3:

-1/420*x^3 + 2/35*x^2 - 361/840*x + 1

1/2

16

4:

1/2730*x^4 - 16/1365*x^3 + 181/1365*x^2 - 848/1365*x + 1

1/2

16

5:

-1/16380*x^5 + 2/819*x^4 - 121/3276*x^3 + 214/819*x^2 - 9301/10920*x + 1

1/2

16

6:

1/90090*x^6 - 8/15015*x^5 + 1/99*x^4 - 96/1001*x^3 + 85523/180180*x^2 - 17092/15015*x + 1

1/2

16

7:

-1/450450*x^7 + 4/32175*x^6 - 73/25740*x^5 + 218/6435*x^4 - 14557/64350*x^3 + 26716/32175*x^2 - 2791/1848*x + 1

1/2

16

8:

1/2027025*x^8 - 64/2027025*x^7 + 244/289575*x^6 - 64/5265*x^5 + 2702/26325*x^4 - 148288/289575*x^3 + 324908/225225*x^2 - 91072/45045*x + 1

1/2

16

9:

-1/8108100*x^9 + 2/225225*x^8 - 367/1351350*x^7 + 148/32175*x^6 - 18199/386100*x^5 + 9634/32175*x^4 - 4697059/4054050*x^3 + 576644/225225*x^2 - 1002997/360360*x + 1

1/2

16

10:

1/28378350*x^10 - 8/2837835*x^9 + 92/945945*x^8 - 256/135135*x^7 + 2813/122850*x^6 - 24008/135135*x^5 + 2507129/2837835*x^4 - 7722784/2837835*x^3 + 30223513/6306300*x^2 - 182348/45045*x + 1

1/2

16

11:

-1/85135050*x^11 + 4/3869775*x^10 - 41/1031940*x^9 + 226/257985*x^8 - 322/26325*x^7 + 20752/184275*x^6 - 2135149/3095820*x^5 + 164554/59535*x^4 - 35723119/5159700*x^3 + 4240606/429975*x^2 - 2338549/360360*x + 1

1/2

16

12:

1/212837625*x^12 - 32/70945875*x^11 + 74/3869775*x^10 - 608/1289925*x^9 + 3712/496125*x^8 - 8192/102375*x^7 + 2267168/3869775*x^6 - 3768832/1289925*x^5 + 374227807/38697750*x^4 - 129722192/6449625*x^3 + 8590609/363825*x^2 - 78896/6435*x + 1

1/2

16

13:

-1/425675250*x^13 + 4/16372125*x^12 - 53/4677750*x^11 + 92/297675*x^10 - 3643/661500*x^9 + 33394/496125*x^8 - 857774/1488375*x^7 + 1031888/297675*x^6 - 3073108/212625*x^5 + 60199904/1488375*x^4 - 1560548359/21829500*x^3 + 1033126/14553*x^2 - 10837237/360360*x + 1

1/2

16

14:

1/638512875*x^14 - 16/91216125*x^13 + 62/7016625*x^12 - 1856/7016625*x^11 + 2227/425250*x^10 - 15352/212625*x^9 + 3173692/4465125*x^8 - 3213568/637875*x^7 + 16319816/637875*x^6 - 58293632/637875*x^5 + 517988224/2338875*x^4 - 9859072/28875*x^3 + 5606559667/18918900*x^2 - 4861676/45045*x + 1

1/2

16

15:

-1/638512875*x^15 + 8/42567525*x^14 - 373/36486450*x^13 + 52/155925*x^12 - 7291/1002375*x^11 + 136/1215*x^10 - 4464557/3572100*x^9 + 3052046/297675*x^8 - 5636434/91125*x^7 + 3852752/14175*x^6 - 170683324/200475*x^5 + 122294048/66825*x^4 - 179312042816/70945875*x^3 + 9373233664/4729725*x^2 - 47129393/72072*x + 1

1/2

16

16:

2/638512875*x^16 - 256/638512875*x^15 + 272/11609325*x^14 - 15104/18243225*x^13 + 138584/7016625*x^12 - 2359552/7016625*x^11 + 3761488/893025*x^10 - 35203328/893025*x^9 + 1237256192/4465125*x^8 - 929824768/637875*x^7 + 7953771776/1403325*x^6 - 22329192448/1403325*x^5 + 600083910656/19348875*x^4 - 2786833596416/70945875*x^3 + 135132872704/4729725*x^2 - 79691776/9009*x + 1

2/3

1

0:

1

2/3

1

1:

-3/2*x + 1

2/3

2

0:

1

2/3

2

1:

-3/4*x + 1

2/3

2

2:

9/8*x^2 - 21/8*x + 1

2/3

3

0:

1

2/3

3

1:

-1/2*x + 1

2/3

3

2:

3/8*x^2 - 11/8*x + 1

2/3

3

3:

-9/16*x^3 + 45/16*x^2 - 15/4*x + 1

2/3

4

0:

1

2/3

4

1:

-3/8*x + 1

2/3

4

2:

3/16*x^2 - 15/16*x + 1

2/3

4

3:

-9/64*x^3 + 63/64*x^2 - 63/32*x + 1

2/3

4

4:

27/128*x^4 - 117/64*x^3 + 657/128*x^2 - 321/64*x + 1

2/3

5

0:

1

2/3

5

1:

-3/10*x + 1

2/3

5

2:

9/80*x^2 - 57/80*x + 1

2/3

5

3:

-9/160*x^3 + 81/160*x^2 - 27/20*x + 1

2/3

5

4:

27/640*x^4 - 153/320*x^3 + 1161/640*x^2 - 165/64*x + 1

2/3

5

5:

-81/1280*x^5 + 27/32*x^4 - 1035/256*x^3 + 531/64*x^2 - 2091/320*x + 1

2/3

6

0:

1

2/3

6

1:

-1/4*x + 1

2/3

6

2:

3/40*x^2 - 23/40*x + 1

2/3

6

3:

-9/320*x^3 + 99/320*x^2 - 33/32*x + 1

2/3

6

4:

9/640*x^4 - 63/320*x^3 + 603/640*x^2 - 563/320*x + 1

2/3

6

5:

-27/2560*x^5 + 45/256*x^4 - 549/512*x^3 + 741/256*x^2 - 259/80*x + 1

2/3

6

6:

81/5120*x^6 - 1539/5120*x^5 + 2241/1024*x^4 - 7785/1024*x^3 + 32337/2560*x^2 - 5397/640*x + 1

2/3

7

0:

1

2/3

7

1:

-3/14*x + 1

2/3

7

2:

3/56*x^2 - 27/56*x + 1

2/3

7

3:

-9/560*x^3 + 117/560*x^2 - 117/140*x + 1

2/3

7

4:

27/4480*x^4 - 45/448*x^3 + 2601/4480*x^2 - 3009/2240*x + 1

2/3

7

5:

-27/8960*x^5 + 27/448*x^4 - 801/1792*x^3 + 3/2*x^2 - 4887/2240*x + 1

2/3

7

6:

81/35840*x^6 - 1863/35840*x^5 + 3321/7168*x^4 - 14373/7168*x^3 + 10971/2560*x^2 - 2547/640*x + 1

2/3

7

7:

-243/71680*x^7 + 891/10240*x^6 - 9153/10240*x^5 + 9585/2048*x^4 - 67113/5120*x^3 + 23823/1280*x^2 - 24357/2240*x + 1

2/3

8

0:

1

2/3

8

1:

-3/16*x + 1

2/3

8

2:

9/224*x^2 - 93/224*x + 1

2/3

8

3:

-9/896*x^3 + 135/896*x^2 - 45/64*x + 1

2/3

8

4:

27/8960*x^4 - 261/4480*x^3 + 3537/8960*x^2 - 4881/4480*x + 1

2/3

8

5:

-81/71680*x^5 + 27/1024*x^4 - 3303/14336*x^3 + 6633/7168*x^2 - 14853/8960*x + 1

2/3

8

6:

81/143360*x^6 - 2187/143360*x^5 + 4617/28672*x^4 - 23985/28672*x^3 + 22491/10240*x^2 - 47151/17920*x + 1

2/3

8

7:

-243/573440*x^7 + 1053/81920*x^6 - 12879/81920*x^5 + 16227/16384*x^4 - 69489/20480*x^3 + 124443/20480*x^2 - 173517/35840*x + 1

2/3

8

8:

729/1146880*x^8 - 1215/57344*x^7 + 4779/16384*x^6 - 43821/20480*x^5 + 1471743/163840*x^4 - 175761/8192*x^3 + 1543599/57344*x^2 - 1009059/71680*x + 1

2/3

9

0:

1

2/3

9

1:

-1/6*x + 1

2/3

9

2:

1/32*x^2 - 35/96*x + 1

2/3

9

3:

-3/448*x^3 + 51/448*x^2 - 17/28*x + 1

2/3

9

4:

3/1792*x^4 - 33/896*x^3 + 513/1792*x^2 - 2467/2688*x + 1

2/3

9

5:

-9/17920*x^5 + 3/224*x^4 - 69/512*x^3 + 565/896*x^2 - 18037/13440*x + 1

2/3

9

6:

27/143360*x^6 - 837/143360*x^5 + 2043/28672*x^4 - 12399/28672*x^3 + 96699/71680*x^2 - 35521/17920*x + 1

2/3

9

7:

-27/286720*x^7 + 27/8192*x^6 - 1917/40960*x^5 + 2829/8192*x^4 - 28767/20480*x^3 + 783/256*x^2 - 83929/26880*x + 1

2/3

9

8:

81/1146880*x^8 - 783/286720*x^7 + 3591/81920*x^6 - 7731/20480*x^5 + 307767/163840*x^4 - 221181/40960*x^3 + 2406179/286720*x^2 - 1261777/215040*x + 1

2/3

9

9:

-243/2293760*x^9 + 729/163840*x^8 - 90639/1146880*x^7 + 63261/81920*x^6 - 1480437/327680*x^5 + 2639601/163840*x^4 - 19479303/573440*x^3 + 1578087/40960*x^2 - 1315239/71680*x + 1

2/3

10

0:

1

2/3

10

1:

-3/20*x + 1

2/3

10

2:

1/40*x^2 - 13/40*x + 1

2/3

10

3:

-3/640*x^3 + 57/640*x^2 - 171/320*x + 1

2/3

10

4:

9/8960*x^4 - 111/4480*x^3 + 1947/8960*x^2 - 711/896*x + 1

2/3

10

5:

-9/35840*x^5 + 27/3584*x^4 - 615/7168*x^3 + 1643/3584*x^2 - 2531/2240*x + 1

2/3

10

6:

27/358400*x^6 - 27/10240*x^5 + 2619/71680*x^4 - 3639/14336*x^3 + 164499/179200*x^2 - 14319/8960*x + 1

2/3

10

7:

-81/2867200*x^7 + 459/409600*x^6 - 297/16384*x^5 + 12573/81920*x^4 - 18537/25600*x^3 + 190659/102400*x^2 - 83301/35840*x + 1

2/3

10

8:

81/5734400*x^8 - 891/1433600*x^7 + 4671/409600*x^6 - 2313/20480*x^5 + 534087/819200*x^4 - 451317/204800*x^3 + 5914019/1433600*x^2 - 263167/71680*x + 1

2/3

10

9:

-243/22937600*x^9 + 729/1433600*x^8 - 118827/11468800*x^7 + 4779/40960*x^6 - 2593701/3276800*x^5 + 169047/51200*x^4 - 47348109/5734400*x^3 + 1635111/143360*x^2 - 510057/71680*x + 1

2/3

10

10:

729/45875200*x^10 - 7533/9175040*x^9 + 16767/917504*x^8 - 1051461/4587520*x^7 + 11650311/6553600*x^6 - 11531403/1310720*x^5 + 6333255/229376*x^4 - 120662127/2293760*x^3 + 157239459/2867200*x^2 - 864291/35840*x + 1

2/3

11

0:

1

2/3

11

1:

-3/22*x + 1

2/3

11

2:

9/440*x^2 - 129/440*x + 1

2/3

11

3:

-3/880*x^3 + 63/880*x^2 - 21/44*x + 1

2/3

11

4:

9/14080*x^4 - 123/7040*x^3 + 2403/14080*x^2 - 4923/7040*x + 1

2/3

11

5:

-27/197120*x^5 + 45/9856*x^4 - 327/5632*x^3 + 1719/4928*x^2 - 4377/4480*x + 1

2/3

11

6:

27/788480*x^6 - 1053/788480*x^5 + 297/14336*x^4 - 2325/14336*x^3 + 263079/394240*x^2 - 132339/98560*x + 1

2/3

11

7:

-81/7884800*x^7 + 513/1126400*x^6 - 1863/225280*x^5 + 17811/225280*x^4 - 239271/563200*x^3 + 177579/140800*x^2 - 91767/49280*x + 1

2/3

11

8:

243/63078400*x^8 - 2997/15769600*x^7 + 3537/901120*x^6 - 9909/225280*x^5 + 2608101/9011200*x^4 - 2540319/2252800*x^3 + 7819173/3153920*x^2 - 2122317/788480*x + 1

2/3

11

9:

-243/126156800*x^9 + 6561/63078400*x^8 - 150903/63078400*x^7 + 137619/4505600*x^6 - 4259061/18022400*x^5 + 10216287/9011200*x^4 - 104214051/31539200*x^3 + 85928391/15769600*x^2 - 3388617/788480*x + 1

2/3

11

10:

729/504627200*x^10 - 243/2883584*x^9 + 15309/7208960*x^8 - 1526769/50462720*x^7 + 19296711/72089600*x^6 - 21906207/14417920*x^5 + 69532803/12615680*x^4 - 44293509/3604480*x^3 + 69180237/4505600*x^2 - 19401/2240*x + 1

2/3

11

11:

-2187/1009254400*x^11 + 12393/91750400*x^10 - 33777/9175040*x^9 + 105705/1835008*x^8 - 52397361/91750400*x^7 + 48921327/13107200*x^6 - 74327301/4587520*x^5 + 42052635/917504*x^4 - 3594789/44800*x^3 + 55818981/716800*x^2 - 25214547/788480*x + 1

2/3

12

0:

1

2/3

12

1:

-1/8*x + 1

2/3

12

2:

3/176*x^2 - 47/176*x + 1

2/3

12

3:

-9/3520*x^3 + 207/3520*x^2 - 69/160*x + 1

2/3

12

4:

3/7040*x^4 - 9/704*x^3 + 969/7040*x^2 - 2201/3520*x + 1

2/3

12

5:

-9/112640*x^5 + 3/1024*x^4 - 927/22528*x^3 + 3093/11264*x^2 - 12127/14080*x + 1

2/3

12

6:

27/1576960*x^6 - 1161/1576960*x^5 + 3987/315392*x^4 - 34731/315392*x^3 + 400599/788480*x^2 - 228633/197120*x + 1

2/3

12

7:

-27/6307840*x^7 + 189/901120*x^6 - 3807/901120*x^5 + 8115/180224*x^4 - 61191/225280*x^3 + 206079/225280*x^2 - 614681/394240*x + 1

2/3

12

8:

81/63078400*x^8 - 1107/15769600*x^7 + 7263/4505600*x^6 - 909/45056*x^5 + 1344327/9011200*x^4 - 1484829/2252800*x^3 + 26291187/15769600*x^2 - 1686287/788480*x + 1

2/3

12

9:

-243/504627200*x^9 + 729/25231360*x^8 - 186867/252313600*x^7 + 8667/819200*x^6 - 6637221/72089600*x^5 + 1804059/3604480*x^4 - 210907449/126156800*x^3 + 101607993/31539200*x^2 - 609723/197120*x + 1

2/3

12

10:

243/1009254400*x^10 - 3159/201850880*x^9 + 44469/100925440*x^8 - 64557/9175040*x^7 + 10102077/144179200*x^6 - 12980817/28835840*x^5 + 11753901/6307840*x^4 - 22027599/4587520*x^3 + 447848523/63078400*x^2 - 7924079/1576960*x + 1

2/3

12

11:

-729/4037017600*x^11 + 4617/367001600*x^10 - 7047/18350080*x^9 + 247617/36700160*x^8 - 27644247/367001600*x^7 + 29171583/52428800*x^6 - 100666017/36700160*x^5 + 162798129/18350080*x^4 - 823512933/45875200*x^3 + 235845861/11468800*x^2 - 33445073/3153920*x + 1

2/3

12

12:

2187/8074035200*x^12 - 80919/4037017600*x^11 + 481869/734003200*x^10 - 183951/14680064*x^9 + 113344191/734003200*x^8 - 471786687/367001600*x^7 + 5391736407/734003200*x^6 - 2103715557/73400320*x^5 + 13642331823/183500800*x^4 - 11112782571/91750400*x^3 + 27886699377/252313600*x^2 - 269917971/6307840*x + 1

2/3

13

0:

1

2/3

13

1:

-3/26*x + 1

2/3

13

2:

3/208*x^2 - 51/208*x + 1

2/3

13

3:

-9/4576*x^3 + 225/4576*x^2 - 225/572*x + 1

2/3

13

4:

27/91520*x^4 - 441/45760*x^3 + 10377/91520*x^2 - 25881/45760*x + 1

2/3

13

5:

-9/183040*x^5 + 9/4576*x^4 - 1107/36608*x^3 + 2031/9152*x^2 - 35259/45760*x + 1

2/3

13

6:

27/2928640*x^6 - 1269/2928640*x^5 + 4779/585728*x^4 - 45855/585728*x^3 + 53289/133120*x^2 - 374157/366080*x + 1

2/3

13

7:

-81/41000960*x^7 + 621/5857280*x^6 - 13743/5857280*x^5 + 32319/1171456*x^4 - 540801/2928640*x^3 + 19593/28160*x^2 - 156567/116480*x + 1

2/3

13

8:

81/164003840*x^8 - 243/8200192*x^7 + 135/180224*x^6 - 30339/2928640*x^5 + 1993527/23429120*x^4 - 492777/1171456*x^3 + 9874407/8200192*x^2 - 18266331/10250240*x + 1

2/3

13

9:

-243/1640038400*x^9 + 729/74547200*x^8 - 226719/820019200*x^7 + 256041/58572800*x^6 - 9909621/234291200*x^5 + 30139533/117145600*x^4 - 397995903/410009600*x^3 + 439836669/205004800*x^2 - 24932151/10250240*x + 1

2/3

13

10:

729/13120307200*x^10 - 10449/2624061440*x^9 + 162567/1312030720*x^8 - 221373/100925440*x^7 + 3504627/144179200*x^6 - 1007559/5767168*x^5 + 133665471/164003840*x^4 - 1570540563/656015360*x^3 + 3375705429/820019200*x^2 - 72550077/20500480*x + 1

2/3

13

11:

-729/26240614400*x^11 + 729/340787200*x^10 - 17253/238551040*x^9 + 67311/47710208*x^8 - 41846787/2385510400*x^7 + 49375737/340787200*x^6 - 23941467/29818880*x^5 + 10024587/3407872*x^4 - 1017515439/149094400*x^3 + 42730899/4659200*x^2 - 60304971/10250240*x + 1

2/3

13

12:

2187/104962457600*x^12 - 89667/52481228800*x^11 + 592677/9542041600*x^10 - 1258011/954204160*x^9 + 24681753/1363148800*x^8 - 803517651/4771020800*x^7 + 10292562351/9542041600*x^6 - 903939993/190840832*x^5 + 33178107303/2385510400*x^4 - 30877092963/1192755200*x^3 + 12878572383/468582400*x^2 - 82507671/6307840*x + 1

2/3

13

13:

-6561/209924915200*x^13 + 2187/807403520*x^12 - 67797/645922816*x^11 + 110079/45875200*x^10 - 52781301/1468006400*x^9 + 777843/2097152*x^8 - 790269777/293601280*x^7 + 2529775233/183500800*x^6 - 4514231007/91750400*x^5 + 2175190497/18350080*x^4 - 36633662253/201850880*x^3 + 5658359481/36044800*x^2 - 4736562333/82001920*x + 1

2/3

14

0:

1

2/3

14

1:

-3/28*x + 1

2/3

14

2:

9/728*x^2 - 165/728*x + 1

2/3

14

3:

-9/5824*x^3 + 243/5824*x^2 - 81/224*x + 1

2/3

14

4:

27/128128*x^4 - 477/64064*x^3 + 1107/11648*x^2 - 33081/64064*x + 1

2/3

14

5:

-81/2562560*x^5 + 27/19712*x^4 - 11727/512512*x^3 + 6705/36608*x^2 - 27921/40040*x + 1

2/3

14

6:

27/5125120*x^6 - 1377/5125120*x^5 + 513/93184*x^4 - 59139/1025024*x^3 + 118557/366080*x^2 - 83673/91520*x + 1

2/3

14

7:

-81/82001920*x^7 + 135/2342912*x^6 - 16281/11714560*x^5 + 3807/212992*x^4 - 192519/1464320*x^3 + 321003/585728*x^2 - 6063573/5125120*x + 1

2/3

14

8:

243/1148026880*x^8 - 81/5857280*x^7 + 31293/82001920*x^6 - 1539/266240*x^5 + 8566101/164003840*x^4 - 1674009/5857280*x^3 + 262225737/287006720*x^2 - 2243073/1464320*x + 1

2/3

14

9:

-243/4592107520*x^9 + 2187/574013440*x^8 - 38637/328007680*x^7 + 3807/1863680*x^6 - 14278437/656015360*x^5 + 12020319/82001920*x^4 - 54495801/88309760*x^3 + 110523123/71751680*x^2 - 20646981/10250240*x + 1

2/3

14

10:

729/45921075200*x^10 - 11421/9184215040*x^9 + 194643/4592107520*x^8 - 108135/131203072*x^7 + 66043431/6560153600*x^6 - 105129819/1312030720*x^5 + 478307673/1148026880*x^4 - 632504835/459210752*x^3 + 706733829/260915200*x^2 - 135447/49280*x + 1

2/3

14

11:

-2187/367368601600*x^11 + 16767/33397145600*x^10 - 243/13045760*x^9 + 1334799/3339714560*x^8 - 26156763/4771020800*x^7 + 239247513/4771020800*x^6 - 1033034553/3339714560*x^5 + 2121905403/1669857280*x^4 - 1073676573/321126400*x^3 + 5426788581/1043660800*x^2 - 165697239/41000960*x + 1

2/3

14

12:

2187/734737203200*x^12 - 19683/73473720320*x^11 + 715149/66794291200*x^10 - 238869/954204160*x^9 + 253545471/66794291200*x^8 - 37305117/954204160*x^7 + 18587686167/66794291200*x^6 - 9116461629/6679429120*x^5 + 75281372703/16698572800*x^4 - 2277652401/238551040*x^3 + 270645324057/22960537600*x^2 - 566748333/82001920*x + 1

2/3

14

13:

-6561/2938948812800*x^13 + 2187/10276044800*x^12 - 2053593/226072985600*x^11 + 2353941/10276044800*x^10 - 11134503/2936012800*x^9 + 63573903/1468006400*x^8 - 7165419489/20552089600*x^7 + 20411663283/10276044800*x^6 - 40655423853/5138022400*x^5 + 54930012273/2569011200*x^4 - 37344023847/1009254400*x^3 + 210646953/5734400*x^2 - 667155669/41000960*x + 1

2/3

14

14:

19683/5877897625600*x^14 - 282123/839699660800*x^13 + 981963/64592281600*x^12 - 26482383/64592281600*x^11 + 43083171/5872025600*x^10 - 538906203/5872025600*x^9 + 33832596213/41104179200*x^8 - 31357977039/5872025600*x^7 + 73276017147/2936012800*x^6 - 121178116449/1468006400*x^5 + 1506308546961/8074035200*x^4 - 273055533417/1009254400*x^3 + 10253888308359/45921075200*x^2 - 1841849643/23429120*x + 1

2/3

15

0:

1

2/3

15

1:

-1/10*x + 1

2/3

15

2:

3/280*x^2 - 59/280*x + 1

2/3

15

3:

-9/7280*x^3 + 261/7280*x^2 - 87/260*x + 1

2/3

15

4:

9/58240*x^4 - 171/29120*x^3 + 4707/58240*x^2 - 2767/5824*x + 1

2/3

15

5:

-27/1281280*x^5 + 9/9152*x^4 - 4545/256256*x^3 + 2463/16016*x^2 - 204047/320320*x + 1

2/3

15

6:

81/25625600*x^6 - 81/465920*x^5 + 19737/5125120*x^4 - 44865/1025024*x^3 + 489771/1830400*x^2 - 530121/640640*x + 1

2/3

15

7:

-27/51251200*x^7 + 243/7321600*x^6 - 1269/1464320*x^5 + 1611/133120*x^4 - 355257/3660800*x^3 + 405819/915200*x^2 - 67757/64064*x + 1

2/3

15

8:

81/820019200*x^8 - 1431/205004800*x^7 + 12231/58572800*x^6 - 10071/2928640*x^5 + 3972087/117145600*x^4 - 5959557/29286400*x^3 + 147329139/205004800*x^2 - 13795183/10250240*x + 1

2/3

15

9:

-243/11480268800*x^9 + 729/441548800*x^8 - 4131/74547200*x^7 + 85779/82001920*x^6 - 19966581/1640038400*x^5 + 73779579/820019200*x^4 - 1200604059/2870067200*x^3 + 334172439/287006720*x^2 - 17679699/10250240*x + 1

2/3

15

10:

243/45921075200*x^10 - 4131/9184215040*x^9 + 2187/131203072*x^8 - 231741/656015360*x^7 + 30948237/6560153600*x^6 - 54081189/1312030720*x^5 + 54325107/229605376*x^4 - 1998768609/2296053760*x^3 + 60864183/31539200*x^2 - 11577823/5125120*x + 1

2/3

15

11:

-729/459210752000*x^11 + 243/1669857280*x^10 - 24543/4174643200*x^9 + 114939/834928640*x^8 - 12323421/5963776000*x^7 + 990225/47710208*x^6 - 294823881/2087321600*x^5 + 269009073/417464320*x^4 - 2480868027/1304576000*x^3 + 44002869/13045760*x^2 - 6341333/2050048*x + 1

2/3

15

12:

2187/3673686016000*x^12 - 2187/37486592000*x^11 + 169857/66794291200*x^10 - 2169747/33397145600*x^9 + 360329391/333971456000*x^8 - 291152637/23855104000*x^7 + 6397109379/66794291200*x^6 - 2482962579/4771020800*x^5 + 160157588823/83492864000*x^4 - 191380197627/41746432000*x^3 + 149640543837/22960537600*x^2 - 378465249/82001920*x + 1

2/3

15

13:

-2187/7347372032000*x^13 + 2187/70647808000*x^12 - 815751/565182464000*x^11 + 102303/2569011200*x^10 - 5303961/7340032000*x^9 + 29106783/3211264000*x^8 - 4129378623/51380224000*x^7 + 259995663/513802240*x^6 - 14372955333/6422528000*x^5 + 2712737187/401408000*x^4 - 66652976583/5046272000*x^3 + 26693589807/1766195200*x^2 - 669090067/82001920*x + 1

2/3

15

14:

6561/29389488128000*x^14 - 102789/4198498304000*x^13 + 391473/322961408000*x^12 - 2313117/64592281600*x^11 + 2948319/4194304000*x^10 - 283557429/29360128000*x^9 + 19584522063/205520896000*x^8 - 4001310333/5872025600*x^7 + 51640890093/14680064000*x^6 - 94599937287/7340032000*x^5 + 186820432713/5767168000*x^4 - 10611624897/201850880*x^3 + 2257995966873/45921075200*x^2 - 478606333/23429120*x + 1

2/3

15

15:

-19683/58778976256000*x^15 + 452709/11755795251200*x^14 - 675783/335879864320*x^13 + 8164071/129184563200*x^12 - 122797863/92274688000*x^11 + 232903107/11744051200*x^10 - 3537313821/16441671680*x^9 + 141482052081/82208358400*x^8 - 298457569107/29360128000*x^7 + 128985560001/2936012800*x^6 - 62761162851/461373440*x^5 + 586783236069/2018508800*x^4 - 46135891636281/114802688000*x^3 + 1461283700913/4592107520*x^2 - 252581421/2342912*x + 1

2/3

16

0:

1

2/3

16

1:

-3/32*x + 1

2/3

16

2:

3/320*x^2 - 63/320*x + 1

2/3

16

3:

-9/8960*x^3 + 279/8960*x^2 - 279/896*x + 1

2/3

16

4:

27/232960*x^4 - 549/116480*x^3 + 16209/232960*x^2 - 51249/116480*x + 1

2/3

16

5:

-27/1863680*x^5 + 135/186368*x^4 - 747/53248*x^3 + 24411/186368*x^2 - 136611/232960*x + 1

2/3

16

6:

81/41000960*x^6 - 4779/41000960*x^5 + 22761/8200192*x^4 - 278865/8200192*x^3 + 4610637/20500480*x^2 - 3874887/5125120*x + 1

2/3

16

7:

-243/820019200*x^7 + 2349/117145600*x^6 - 13203/23429120*x^5 + 198963/23429120*x^4 - 166113/2252800*x^3 + 10733139/29286400*x^2 - 9808977/10250240*x + 1

2/3

16

8:

81/1640038400*x^8 - 1539/410009600*x^7 + 567/4685824*x^6 - 12609/5857280*x^5 + 5389767/234291200*x^4 - 8801613/58572800*x^3 + 47646519/82001920*x^2 - 24636303/20500480*x + 1

2/3

16

9:

-243/26240614400*x^9 + 729/937164800*x^8 - 28431/1009254400*x^7 + 269487/468582400*x^6 - 27217701/3748659200*x^5 + 54764181/937164800*x^4 - 1951508241/6560153600*x^3 + 19459899/21299200*x^2 - 12395727/8200192*x + 1

2/3

16

10:

729/367368601600*x^10 - 243/1335885824*x^9 + 267543/36736860160*x^8 - 876987/5248122880*x^7 + 127156311/52481228800*x^6 - 242109891/10496245760*x^5 + 665666829/4592107520*x^4 - 10798722063/18368430080*x^3 + 33324543909/22960537600*x^2 - 14351403/7454720*x + 1

2/3

16

11:

-729/1469474406400*x^11 + 6561/133588582400*x^10 - 14337/6679429120*x^9 + 145557/2671771648*x^8 - 16958241/19084083200*x^7 + 185674599/19084083200*x^6 - 193643217/2671771648*x^5 + 486309501/1335885824*x^4 - 19917315153/16698572800*x^3 + 9938927553/4174643200*x^2 - 413245431/164003840*x + 1

2/3

16

12:

2187/14694744064000*x^12 - 115911/7347372032000*x^11 + 2187/2936012800*x^10 - 2758779/133588582400*x^9 + 498256191/1335885824000*x^8 - 439033689/95420416000*x^7 + 812004183/20552089600*x^6 - 31532284341/133588582400*x^5 + 45937576089/47710208000*x^4 - 33041809863/12845056000*x^3 + 381975692157/91842150400*x^2 - 87648093/25231360*x + 1

2/3

16

13:

-6561/117557952512000*x^13 + 28431/4521459712000*x^12 - 575181/1808583884800*x^11 + 31347/3288334336*x^10 - 154778121/822083584000*x^9 + 1058892183/411041792000*x^8 - 4108081941/164416716800*x^7 + 14196979269/82208358400*x^6 - 173141422263/205520896000*x^5 + 290368973799/102760448000*x^4 - 175244734107/28259123200*x^3 + 114860656629/14129561600*x^2 - 3463659219/656015360*x + 1

2/3

16

14:

6561/235115905024000*x^14 - 111537/33587986432000*x^13 + 461457/2583691264000*x^12 - 14828589/2583691264000*x^11 + 28822473/234881024000*x^10 - 432068337/234881024000*x^9 + 32624360847/1644167168000*x^8 - 36524066157/234881024000*x^7 + 103640022693/117440512000*x^6 - 209583579951/58720256000*x^5 + 3217510008639/322961408000*x^4 - 365930729253/20185088000*x^3 + 7116229311747/367368601600*x^2 - 1816786467/187432960*x + 1

2/3

16

15:

-19683/940463620096000*x^15 + 19683/7523708960768*x^14 - 570807/3838627020800*x^13 + 955719/187904819200*x^12 - 1206552591/10334765056000*x^11 + 71346501/37580963840*x^10 - 29595981123/1315333734400*x^9 + 258989184459/1315333734400*x^8 - 42753988863/33554432000*x^7 + 7097705757/1174405120*x^6 - 332402414391/16148070400*x^5 + 6270362031249/129184563200*x^4 - 546665266155249/7347372032000*x^3 + 176301005499/2671771648*x^2 - 1940981841/74973184*x + 1

2/3

16

16:

59049/1880927240192000*x^16 - 19683/4798283776000*x^15 + 23048793/94046362009600*x^14 - 1489347/167939932160*x^13 + 320397687/1476395008000*x^12 - 4905158877/1291845632000*x^11 + 32204505933/657666867200*x^10 - 555270309/1174405120*x^9 + 45195964479639/13153337344000*x^8 - 4399243568271/234881024000*x^7 + 5582944953297/73819750400*x^6 - 2855077815627/12918456320*x^5 + 52837414375852521/117557952512000*x^4 - 1249973005469229/2099249152000*x^3 + 133557037496163/293894881280*x^2 - 22320892047/149946368*x + 1

3/4

1

0:

1

3/4

1

1:

-4/3*x + 1

3/4

2

0:

1

3/4

2

1:

-2/3*x + 1

3/4

2

2:

8/9*x^2 - 20/9*x + 1

3/4

3

0:

1

3/4

3

1:

-4/9*x + 1

3/4

3

2:

8/27*x^2 - 32/27*x + 1

3/4

3

3:

-32/81*x^3 + 56/27*x^2 - 244/81*x + 1

3/4

4

0:

1

3/4

4

1:

-1/3*x + 1

3/4

4

2:

4/27*x^2 - 22/27*x + 1

3/4

4

3:

-8/81*x^3 + 20/27*x^2 - 133/81*x + 1

3/4

4

4:

32/243*x^4 - 32/27*x^3 + 856/243*x^2 - 308/81*x + 1

3/4

5

0:

1

3/4

5

1:

-4/15*x + 1

3/4

5

2:

4/45*x^2 - 28/45*x + 1

3/4

5

3:

-16/405*x^3 + 52/135*x^2 - 464/405*x + 1

3/4

5

4:

32/1215*x^4 - 128/405*x^3 + 1576/1215*x^2 - 56/27*x + 1

3/4

5

5:

-128/3645*x^5 + 352/729*x^4 - 1760/729*x^3 + 3848/729*x^2 - 5644/1215*x + 1

3/4

6

0:

1

3/4

6

1:

-2/9*x + 1

3/4

6

2:

8/135*x^2 - 68/135*x + 1

3/4

6

3:

-8/405*x^3 + 32/135*x^2 - 358/405*x + 1

3/4

6

4:

32/3645*x^4 - 32/243*x^3 + 2512/3645*x^2 - 1768/1215*x + 1

3/4

6

5:

-64/10935*x^5 + 224/2187*x^4 - 1456/2187*x^3 + 4288/2187*x^2 - 9122/3645*x + 1

3/4

6

6:

256/32805*x^6 - 1664/10935*x^5 + 7520/6561*x^4 - 3040/729*x^3 + 243304/32805*x^2 - 61036/10935*x + 1

3/4

7

0:

1

3/4

7

1:

-4/21*x + 1

3/4

7

2:

8/189*x^2 - 80/189*x + 1

3/4

7

3:

-32/2835*x^3 + 152/945*x^2 - 292/405*x + 1

3/4

7

4:

32/8505*x^4 - 64/945*x^3 + 3664/8505*x^2 - 640/567*x + 1

3/4

7

5:

-128/76545*x^5 + 544/15309*x^4 - 4352/15309*x^3 + 16112/15309*x^2 - 44764/25515*x + 1

3/4

7

6:

256/229635*x^6 - 2048/76545*x^5 + 11552/45927*x^4 - 1984/1701*x^3 + 629224/229635*x^2 - 32176/10935*x + 1

3/4

7

7:

-1024/688905*x^7 + 256/6561*x^6 - 40576/98415*x^5 + 544/243*x^4 - 647968/98415*x^3 + 65864/6561*x^2 - 169724/25515*x + 1

3/4

8

0:

1

3/4

8

1:

-1/6*x + 1

3/4

8

2:

2/63*x^2 - 23/63*x + 1

3/4

8

3:

-4/567*x^3 + 22/189*x^2 - 691/1134*x + 1

3/4

8

4:

16/8505*x^4 - 16/405*x^3 + 2516/8505*x^2 - 874/945*x + 1

3/4

8

5:

-16/25515*x^5 + 80/5103*x^4 - 760/5103*x^3 + 484/729*x^2 - 3313/2430*x + 1

3/4

8

6:

64/229635*x^6 - 608/76545*x^5 + 4112/45927*x^4 - 368/729*x^3 + 338566/229635*x^2 - 157027/76545*x + 1

3/4

8

7:

-128/688905*x^7 + 64/10935*x^6 - 7376/98415*x^5 + 3280/6561*x^4 - 181436/98415*x^3 + 119818/32805*x^2 - 521449/153090*x + 1

3/4

8

8:

512/2066715*x^8 - 17408/2066715*x^7 + 35072/295245*x^6 - 265088/295245*x^5 + 1156064/295245*x^4 - 2904416/295245*x^3 + 3048664/229635*x^2 - 1814236/229635*x + 1

3/4

9

0:

1

3/4

9

1:

-4/27*x + 1

3/4

9

2:

2/81*x^2 - 26/81*x + 1

3/4

9

3:

-8/1701*x^3 + 50/567*x^2 - 898/1701*x + 1

3/4

9

4:

16/15309*x^4 - 128/5103*x^3 + 3308/15309*x^2 - 572/729*x + 1

3/4

9

5:

-64/229635*x^5 + 368/45927*x^4 - 4048/45927*x^3 + 21100/45927*x^2 - 85712/76545*x + 1

3/4

9

6:

64/688905*x^6 - 704/229635*x^5 + 5552/137781*x^4 - 4096/15309*x^3 + 643486/688905*x^2 - 365746/229635*x + 1

3/4

9

7:

-256/6200145*x^7 + 448/295245*x^6 - 20224/885735*x^5 + 10672/59049*x^4 - 710632/885735*x^3 + 192734/98415*x^2 - 1620638/688905*x + 1

3/4

9

8:

512/18600435*x^8 - 4096/3720087*x^7 + 48896/2657205*x^6 - 442112/2657205*x^5 + 2336864/2657205*x^4 - 1451776/531441*x^3 + 3252824/688905*x^2 - 8071624/2066715*x + 1

3/4

9

9:

-2048/55801305*x^9 + 9728/6200145*x^8 - 529408/18600435*x^7 + 84224/295245*x^6 - 4575104/2657205*x^5 + 628384/98415*x^4 - 790852576/55801305*x^3 + 107250376/6200145*x^2 - 58159412/6200145*x + 1

3/4

10

0:

1

3/4

10

1:

-2/15*x + 1

3/4

10

2:

8/405*x^2 - 116/405*x + 1

3/4

10

3:

-4/1215*x^3 + 28/405*x^2 - 566/1215*x + 1

3/4

10

4:

16/25515*x^4 - 16/945*x^3 + 4208/25515*x^2 - 1160/1701*x + 1

3/4

10

5:

-32/229635*x^5 + 208/45927*x^4 - 2600/45927*x^3 + 2216/6561*x^2 - 72886/76545*x + 1

3/4

10

6:

128/3444525*x^6 - 64/45927*x^5 + 14416/688905*x^4 - 272/1701*x^3 + 319496/492075*x^2 - 8588/6561*x + 1

3/4

10

7:

-128/10333575*x^7 + 256/492075*x^6 - 2656/295245*x^5 + 2704/32805*x^4 - 631796/1476225*x^3 + 610844/492075*x^2 - 46454/25515*x + 1

3/4

10

8:

512/93002175*x^8 - 23552/93002175*x^7 + 65024/13286025*x^6 - 27392/531441*x^5 + 4257824/13286025*x^4 - 15786464/13286025*x^3 + 8649376/3444525*x^2 - 5503856/2066715*x + 1

3/4

10

9:

-1024/279006525*x^9 + 5632/31000725*x^8 - 356864/93002175*x^7 + 13312/295245*x^6 - 4277056/13286025*x^5 + 2111008/1476225*x^4 - 1081390448/279006525*x^3 + 37072912/6200145*x^2 - 27609326/6200145*x + 1

3/4

10

10:

4096/837019575*x^10 - 2048/7971615*x^9 + 65024/11160261*x^8 - 1389568/18600435*x^7 + 23711488/39858075*x^6 - 8077184/2657205*x^5 + 332343968/33480783*x^4 - 158725408/7971615*x^3 + 2075961784/93002175*x^2 - 13833892/1240029*x + 1

3/4

11

0:

1

3/4

11

1:

-4/33*x + 1

3/4

11

2:

8/495*x^2 - 128/495*x + 1

3/4

11

3:

-32/13365*x^3 + 248/4455*x^2 - 5572/13365*x + 1

3/4

11

4:

16/40095*x^4 - 32/2673*x^3 + 5216/40095*x^2 - 896/1485*x + 1

3/4

11

5:

-64/841995*x^5 + 464/168399*x^4 - 928/24057*x^3 + 3968/15309*x^2 - 232772/280665*x + 1

3/4

11

6:

128/7577955*x^6 - 256/360855*x^5 + 18160/1515591*x^4 - 17440/168399*x^3 + 47176/98415*x^2 - 2814848/2525985*x + 1

3/4

11

7:

-512/113669325*x^7 + 128/601425*x^6 - 13504/3247695*x^5 + 46864/1082565*x^4 - 4179584/16238475*x^3 + 4679848/5412825*x^2 - 3776404/2525985*x + 1

3/4

11

8:

512/341007975*x^8 - 26624/341007975*x^7 + 83456/48715425*x^6 - 200704/9743085*x^5 + 7178144/48715425*x^4 - 30949568/48715425*x^3 + 5468672/3444525*x^2 - 3107584/1515591*x + 1

3/4

11

9:

-2048/3069071775*x^9 + 512/13640319*x^8 - 925696/1023023925*x^7 + 22016/1804275*x^6 - 14717312/146146275*x^5 + 1695968/3247695*x^4 - 5146422592/3069071775*x^3 + 1071328576/341007975*x^2 - 203822764/68201595*x + 1

3/4

11

10:

4096/9207215325*x^10 - 16384/613814355*x^9 + 60928/87687765*x^8 - 2103296/204604785*x^7 + 41682688/438438825*x^6 - 1511936/2657205*x^5 + 4055602912/1841443065*x^4 - 3273858752/613814355*x^3 + 1090985512/146146275*x^2 - 6277504/1240029*x + 1

3/4

11

11:

-16384/27621645975*x^11 + 94208/2511058725*x^10 - 34816/33480783*x^9 + 79360/4782969*x^8 - 140862464/837019575*x^7 + 135113984/119574225*x^6 - 508892032/100442349*x^5 + 1498054624/100442349*x^4 - 2555347232/93002175*x^3 + 1140981656/39858075*x^2 - 60510980/4546773*x + 1

3/4

12

0:

1

3/4

12

1:

-1/9*x + 1

3/4

12

2:

4/297*x^2 - 70/297*x + 1

3/4

12

3:

-8/4455*x^3 + 68/1485*x^2 - 1681/4455*x + 1

3/4

12

4:

32/120285*x^4 - 32/3645*x^3 + 12664/120285*x^2 - 4340/8019*x + 1

3/4

12

5:

-16/360855*x^5 + 128/72171*x^4 - 1984/72171*x^3 + 14824/72171*x^2 - 88433/120285*x + 1

3/4

12

6:

64/7577955*x^6 - 992/2525985*x^5 + 11168/1515591*x^4 - 1088/15309*x^3 + 254396/688905*x^2 - 2454898/2525985*x + 1

3/4

12

7:

-128/68201595*x^7 + 64/649539*x^6 - 20912/9743085*x^5 + 16256/649539*x^4 - 1633496/9743085*x^3 + 46180/72171*x^2 - 9646489/7577955*x + 1

3/4

12

8:

512/1023023925*x^8 - 29696/1023023925*x^7 + 9472/13286025*x^6 - 281728/29229255*x^5 + 11395904/146146275*x^4 - 56027072/146146275*x^3 + 13963696/12629925*x^2 - 38196344/22733865*x + 1

3/4

12

9:

-512/3069071775*x^9 + 512/48715425*x^8 - 291328/1023023925*x^7 + 256/59049*x^6 - 5937248/146146275*x^5 + 434944/1804275*x^4 - 2748972736/3069071775*x^3 + 19253744/9743085*x^2 - 155836651/68201595*x + 1

3/4

12

10:

2048/27621645975*x^10 - 1024/204604785*x^9 + 270848/1841443065*x^8 - 504832/204604785*x^7 + 34216064/1315316475*x^6 - 5224768/29229255*x^5 + 4431836096/5524329195*x^4 - 155931136/68201595*x^3 + 11853413612/3069071775*x^2 - 45479218/13640319*x + 1

3/4

12

11:

-4096/82864937925*x^11 + 26624/7533176175*x^10 - 55808/502211745*x^9 + 144896/71744535*x^8 - 58877696/2511058725*x^7 + 65040512/358722675*x^6 - 1421943776/1506635235*x^5 + 4914270464/1506635235*x^4 - 6008833864/837019575*x^3 + 1103484548/119574225*x^2 - 235277731/40920957*x + 1

3/4

12

12:

16384/248594813775*x^12 - 16384/3314597517*x^11 + 3715072/22599528525*x^10 - 59392/18600435*x^9 + 302447104/7533176175*x^8 - 171817984/502211745*x^7 + 45405174016/22599528525*x^6 - 12200617088/1506635235*x^5 + 493839410144/22599528525*x^4 - 18794107616/502211745*x^3 + 1010143651448/27621645975*x^2 - 1956757868/122762871*x + 1

3/4

13

0:

1

3/4

13

1:

-4/39*x + 1

3/4

13

2:

4/351*x^2 - 76/351*x + 1

3/4

13

3:

-16/11583*x^3 + 148/3861*x^2 - 3992/11583*x + 1

3/4

13

4:

32/173745*x^4 - 128/19305*x^3 + 15112/173745*x^2 - 2584/5265*x + 1

3/4

13

5:

-128/4691115*x^5 + 1120/938223*x^4 - 19040/938223*x^3 + 156584/938223*x^2 - 1032964/1563705*x + 1

3/4

13

6:

64/14073345*x^6 - 1088/4691115*x^5 + 13472/2814669*x^4 - 5312/104247*x^3 + 4132516/14073345*x^2 - 311284/360855*x + 1

3/4

13

7:

-256/295540245*x^7 + 64/1279395*x^6 - 3904/3247695*x^5 + 1120/72171*x^4 - 4882672/42220035*x^3 + 6954556/14073345*x^2 - 12159088/10945935*x + 1

3/4

13

8:

512/2659862205*x^8 - 32768/2659862205*x^7 + 127232/379980315*x^6 - 1910528/379980315*x^5 + 17248064/379980315*x^4 - 95230976/379980315*x^3 + 26894096/32837805*x^2 - 422497456/295540245*x + 1

3/4

13

9:

-2048/39897933075*x^9 + 15872/4433103675*x^8 - 1432576/13299311025*x^7 + 35072/19190925*x^6 - 36426752/1899901575*x^5 + 27053888/211100175*x^4 - 21585007552/39897933075*x^3 + 6088702288/4433103675*x^2 - 1654647892/886620735*x + 1

3/4

13

10:

2048/119693799225*x^10 - 2048/1595917323*x^9 + 67072/1595917323*x^8 - 2097152/2659862205*x^7 + 53224064/5699704725*x^6 - 5509760/75996063*x^5 + 1774174912/4787751969*x^4 - 9708086144/7979586615*x^3 + 32069844812/13299311025*x^2 - 448110956/177324147*x + 1

3/4

13

11:

-8192/1077244193025*x^11 + 59392/97931290275*x^10 - 139264/6528752685*x^9 + 2841088/6528752685*x^8 - 185907712/32643763425*x^7 + 232729216/4663394775*x^6 - 5806331008/19586258055*x^5 + 23124049216/19586258055*x^4 - 33068371088/10881254475*x^3 + 3923771116/837019575*x^2 - 1971369656/531972441*x + 1

3/4

13

12:

16384/3231732579075*x^12 - 65536/153892027575*x^11 + 667648/41970552975*x^10 - 151552/435250179*x^9 + 37308928/7533176175*x^8 - 1565622272/32643763425*x^7 + 94575801088/293793870825*x^6 - 836112640/559607373*x^5 + 196915441952/41970552975*x^4 - 310288557184/32643763425*x^3 + 313000216808/27621645975*x^2 - 802058168/122762871*x + 1

3/4

13

13:

-65536/9695197737225*x^13 + 16384/27621645975*x^12 - 17383424/745784441325*x^11 + 12234752/22599528525*x^10 - 186652672/22599528525*x^9 + 655161856/7533176175*x^8 - 43814167552/67798585575*x^7 + 25628463872/7533176175*x^6 - 850221525632/67798585575*x^5 + 709850784736/22599528525*x^4 - 4182965250656/82864937925*x^3 + 1287680747128/27621645975*x^2 - 30605234812/1595917323*x + 1

3/4

14

0:

1

3/4

14

1:

-2/21*x + 1

3/4

14

2:

8/819*x^2 - 164/819*x + 1

3/4

14

3:

-8/7371*x^3 + 80/2457*x^2 - 334/1053*x + 1

3/4

14

4:

32/243243*x^4 - 32/6237*x^3 + 1616/22113*x^2 - 12136/27027*x + 1

3/4

14

5:

-64/3648645*x^5 + 608/729729*x^4 - 11248/729729*x^3 + 100960/729729*x^2 - 729662/1216215*x + 1

3/4

14

6:

256/98513415*x^6 - 4736/32837805*x^5 + 63968/19702683*x^4 - 6368/168399*x^3 + 2143304/8955765*x^2 - 3640492/4691115*x + 1

3/4

14

7:

-128/295540245*x^7 + 128/4691115*x^6 - 2752/3838185*x^5 + 28576/2814669*x^4 - 3517016/42220035*x^3 + 5543536/14073345*x^2 - 32402054/32837805*x + 1

3/4

14

8:

512/6206345145*x^8 - 1024/177324147*x^7 + 152576/886620735*x^6 - 359936/126660105*x^5 + 25110464/886620735*x^4 - 4394944/25332021*x^3 + 436774432/689593905*x^2 - 122889232/98513415*x + 1

3/4

14

9:

-1024/55857106305*x^9 + 8704/6206345145*x^8 - 123392/2659862205*x^7 + 85504/98513415*x^6 - 26810752/2659862205*x^5 + 22150976/295540245*x^4 - 19791831008/55857106305*x^3 + 485537216/477411165*x^2 - 1405762198/886620735*x + 1

3/4

14

10:

4096/837856594575*x^10 - 2048/5077918755*x^9 + 116224/7979586615*x^8 - 160768/531972441*x^7 + 158530048/39897933075*x^6 - 91524352/2659862205*x^5 + 33081303616/167571318915*x^4 - 8200235968/11171421261*x^3 + 22210031992/13299311025*x^2 - 364409972/177324147*x + 1

3/4

14

11:

-4096/2513569783725*x^11 + 32768/228506343975*x^10 - 84992/15233756265*x^9 + 147968/1171827405*x^8 - 20019968/10881254475*x^7 + 28028672/1554464925*x^6 - 423579008/3515482215*x^5 + 24868336448/45701268795*x^4 - 13601466968/8463197925*x^3 + 73609279472/25389593775*x^2 - 164299766/59108049*x + 1

3/4

14

12:

16384/22622128053525*x^12 - 507904/7540709351175*x^11 + 5742592/2056557095775*x^10 - 1036288/15233756265*x^9 + 740713984/685519031925*x^8 - 383009792/32643763425*x^7 + 182547444736/2056557095775*x^6 - 64101928448/137103806385*x^5 + 3459572523104/2056557095775*x^4 - 905519236768/228506343975*x^3 + 1089906897776/193351521825*x^2 - 6558772856/1595917323*x + 1

3/4

14

13:

-32768/67866384160575*x^13 + 16384/348032739285*x^12 - 10756096/5220491089275*x^11 + 2818048/52732233225*x^10 - 144475136/158196699675*x^9 + 16288256/1506635235*x^8 - 43042984448/474590099025*x^7 + 85730596352/158196699675*x^6 - 1083549466816/474590099025*x^5 + 13921725856/2109289329*x^4 - 7211243818864/580054565475*x^3 + 674815264/48715425*x^2 - 3956025362/531972441*x + 1

3/4

14

14:

131072/203599152481725*x^14 - 1900544/29085593211675*x^13 + 6701056/2237353323975*x^12 - 183353344/2237353323975*x^11 + 101060608/67798585575*x^10 - 1287538688/67798585575*x^9 + 247598322176/1423770297075*x^8 - 235009436672/203395756725*x^7 + 1128803451136/203395756725*x^6 - 3854536851328/203395756725*x^5 + 33178058481632/745784441325*x^4 - 16805409668896/248594813775*x^3 + 447669704443384/7540709351175*x^2 - 111008839540/4787751969*x + 1

3/4

15

0:

1

3/4

15

1:

-4/45*x + 1

3/4

15

2:

8/945*x^2 - 176/945*x + 1

3/4

15

3:

-32/36855*x^3 + 344/12285*x^2 - 10828/36855*x + 1

3/4

15

4:

32/331695*x^4 - 64/15795*x^3 + 20656/331695*x^2 - 704/1701*x + 1

3/4

15

5:

-128/10945935*x^5 + 1312/2189187*x^4 - 26240/2189187*x^3 + 36464/312741*x^2 - 286492/521235*x + 1

3/4

15

6:

256/164189025*x^6 - 1024/10945935*x^5 + 74912/32837805*x^4 - 3008/104247*x^3 + 32662744/164189025*x^2 - 7723472/10945935*x + 1

3/4

15

7:

-1024/4433103675*x^7 + 256/16238475*x^6 - 11392/25332021*x^5 + 292576/42220035*x^4 - 39311968/633300525*x^3 + 22641544/70366725*x^2 - 6732316/7577955*x + 1

3/4

15

8:

512/13299311025*x^8 - 38912/13299311025*x^7 + 16384/172718325*x^6 - 649216/379980315*x^5 + 3217984/172718325*x^4 - 238231424/1899901575*x^3 + 249070816/492567075*x^2 - 327574784/295540245*x + 1

3/4

15

9:

-2048/279285531525*x^9 + 18944/31031725725*x^8 - 2048/93002175*x^7 + 2048/4546773*x^6 - 76297472/13299311025*x^5 + 23137472/492567075*x^4 - 68656216576/279285531525*x^3 + 4883375456/6206345145*x^2 - 1225906732/886620735*x + 1

3/4

15

10:

4096/2513569783725*x^10 - 8192/55857106305*x^9 + 194048/33514263783*x^8 - 38912/295540245*x^7 + 2503168/1315316475*x^6 - 48381952/2659862205*x^5 + 11640102080/100542791349*x^4 - 26861613952/55857106305*x^3 + 344829738184/279285531525*x^2 - 514841584/295540245*x + 1

3/4

15

11:

-16384/37703546755875*x^11 + 4096/97931290275*x^10 - 407552/228506343975*x^9 + 2027008/45701268795*x^8 - 116252672/163218817125*x^7 + 252078592/32643763425*x^6 - 39324210944/685519031925*x^5 + 5677635904/19586258055*x^4 - 28324884832/29295685125*x^3 + 152169557944/76168781325*x^2 - 5980106884/2659862205*x + 1

3/4

15

12:

16384/113110640267625*x^12 - 557056/37703546755875*x^11 + 106496/158196699675*x^10 - 65536/3627084825*x^9 + 155279872/489656451375*x^8 - 623249408/163218817125*x^7 + 66175035392/2056557095775*x^6 - 130180253696/685519031925*x^5 + 7935873083744/10282785478875*x^4 - 339211095616/163218817125*x^3 + 49506359248/14363255907*x^2 - 24303147584/7979586615*x + 1

3/4

15

13:

-65536/1017995762408625*x^13 + 16384/2372950495125*x^12 - 26083328/78307366339125*x^11 + 647168/67798585575*x^10 - 428849152/2372950495125*x^9 + 626963968/263661166125*x^8 - 158474819584/7118851485375*x^7 + 70801727488/474590099025*x^6 - 5051685713792/7118851485375*x^5 + 792547343072/338992927875*x^4 - 44304622451072/8700818482125*x^3 + 355008604304/52732233225*x^2 - 21800039860/4787751969*x + 1

3/4

15

14:

131072/3053987287225875*x^14 - 2097152/436283898175125*x^13 + 8175616/33560299859625*x^12 - 49577984/6712059971925*x^11 + 151785472/1016978783625*x^10 - 2154389504/1016978783625*x^9 + 463091949056/21356554456125*x^8 - 98653468672/610187270175*x^7 + 2671954185472/3050936350875*x^6 - 10355833652224/3050936350875*x^5 + 102090601468832/11186766619875*x^4 - 12014574516416/745784441325*x^3 + 382008863572184/22622128053525*x^2 - 609468035152/71816279535*x + 1

3/4

15

15:

-524288/9161961861677625*x^15 + 4063232/610797457445175*x^14 - 18415616/52354067781015*x^13 + 2277376/203395756725*x^12 - 3441901568/14382985654125*x^11 + 2212401152/610187270175*x^10 - 20539598848/512557306947*x^9 + 1398204773888/4271310891225*x^8 - 18122512661504/9152809052625*x^7 + 23844266752/2711943423*x^6 - 16161239162752/575319426165*x^5 + 418051564691168/6712059971925*x^4 - 91662941840523488/1017995762408625*x^3 + 466354429778984/6169671287325*x^2 - 6070213345124/215448838605*x + 1

3/4

16

0:

1

3/4

16

1:

-1/12*x + 1

3/4

16

2:

1/135*x^2 - 47/270*x + 1

3/4

16

3:

-2/2835*x^3 + 23/945*x^2 - 3103/11340*x + 1

3/4

16

4:

8/110565*x^4 - 8/2457*x^3 + 5938/110565*x^2 - 2021/5265*x + 1

3/4

16

5:

-8/995085*x^5 + 88/199017*x^4 - 1892/199017*x^3 + 19826/199017*x^2 - 672961/1326780*x + 1

3/4

16

6:

32/32837805*x^6 - 688/10945935*x^5 + 10840/6567561*x^4 - 5480/243243*x^3 + 5518613/32837805*x^2 - 14166589/21891870*x + 1

3/4

16

7:

-64/492567075*x^7 + 224/23455575*x^6 - 376/1279395*x^5 + 232/47385*x^4 - 304118/6396975*x^3 + 6286711/23455575*x^2 - 11798701/14594580*x + 1

3/4

16

8:

256/13299311025*x^8 - 20992/13299311025*x^7 + 105088/1899901575*x^6 - 410048/379980315*x^5 + 24281872/1899901575*x^4 - 16189424/172718325*x^3 + 203780812/492567075*x^2 - 295067554/295540245*x + 1

3/4

16

9:

-128/39897933075*x^9 + 256/886620735*x^8 - 150016/13299311025*x^7 + 52864/211100175*x^6 - 6594512/1899901575*x^5 + 1310128/42220035*x^4 - 546547864/3069071775*x^3 + 2786975836/4433103675*x^2 - 4356466573/3546482940*x + 1

3/4

16

10:

512/837856594575*x^10 - 256/4296700485*x^9 + 142592/55857106305*x^8 - 167936/2659862205*x^7 + 3054272/3069071775*x^6 - 27680416/2659862205*x^5 + 12194668784/167571318915*x^4 - 18655132304/55857106305*x^3 + 88885362173/93095177175*x^2 - 244616089/161203770*x + 1

3/4

16

11:

-1024/7540709351175*x^11 + 9728/685519031925*x^10 - 6016/9140253759*x^9 + 256/14348907*x^8 - 1460096/4663394775*x^7 + 121484864/32643763425*x^6 - 4172298608/137103806385*x^5 + 4666484848/27420761277*x^4 - 48196732006/76168781325*x^3 + 16029794681/10881254475*x^2 - 20217462809/10639448820*x + 1

3/4

16

12:

4096/113110640267625*x^12 - 151552/37703546755875*x^11 + 410624/2056557095775*x^10 - 34304/5859137025*x^9 + 385758976/3427595159625*x^8 - 243001856/163218817125*x^7 + 5690894464/411311419155*x^6 - 62038221632/685519031925*x^5 + 4219537408136/10282785478875*x^4 - 1422122298664/1142531719875*x^3 + 5932099776214/2513569783725*x^2 - 3906205477/1595917323*x + 1

3/4

16

13:

-4096/339331920802875*x^13 + 4096/2900272827375*x^12 - 1943552/26102455446375*x^11 + 369664/158196699675*x^10 - 38415232/790983498375*x^9 + 185490688/263661166125*x^8 - 17266809856/2372950495125*x^7 + 63415168/1171827405*x^6 - 681862320632/2372950495125*x^5 + 842731530328/790983498375*x^4 - 7666399096148/2900272827375*x^3 + 785544219734/193351521825*x^2 - 106235279473/31918346460*x + 1

3/4

16

14:

16384/3053987287225875*x^14 - 8192/12465254233575*x^13 + 1224704/33560299859625*x^12 - 40767488/33560299859625*x^11 + 27467264/1016978783625*x^10 - 86023424/203395756725*x^9 + 102322564864/21356554456125*x^8 - 121086475264/3050936350875*x^7 + 732253990304/3050936350875*x^6 - 127554453968/122037454035*x^5 + 35646129714808/11186766619875*x^4 - 24123342491912/3728922206625*x^3 + 181012462787137/22622128053525*x^2 - 724618055113/143632559070*x + 1

3/4

16

15:

-32768/9161961861677625*x^15 + 278528/610797457445175*x^14 - 6934528/261770338905075*x^13 + 692224/745784441325*x^12 - 2203022336/100680899578875*x^11 + 8946176/24407490807*x^10 - 57541849216/12813932673675*x^9 + 174217538816/4271310891225*x^8 - 2519971444544/9152809052625*x^7 + 278767136992/203395756725*x^6 - 99429431391656/20136179915775*x^5 + 83554186119416/6712059971925*x^4 - 21103834691508818/1017995762408625*x^3 + 1395018599269819/67866384160575*x^2 - 8374068731741/861795354420*x + 1

3/4

16

16:

131072/27485885585032875*x^16 - 524288/832905623788875*x^15 + 3801088/99948674854665*x^14 - 3473408/2493050846715*x^13 + 10439081984/302042698736625*x^12 - 61810589696/100680899578875*x^11 + 309517447168/38441798021025*x^10 - 40600954880/512557306947*x^9 + 112993420508672/192208990105125*x^8 - 10009853252608/3050936350875*x^7 + 821987618646272/60408539747325*x^6 - 3002039666560/73222472421*x^5 + 23987390891938912/277635207929625*x^4 - 121595017632989408/1017995762408625*x^3 + 2178067290214888/22622128053525*x^2 - 823748089156/23938759845*x + 1