Petits Discriminants de Polynômes Irréductibles

Cette page contient une liste de polynômes irréductibles de petits discriminants. Attention , ce n'est pas une liste de discriminants de corps de nombres. Une table de corps de nombres est disponible sur le site ftp de l'A2X. Les polynômes sont triés suivant leur signature d.r₁ où d est le degré et r₁ est le nombre de racines réelles. Le discriminant et le polynôme sont donnés à chaque fois. Ils sont tous à moins de 30% des bornes d'Odlyzko. Les lettres i et p indiquent que le corps de nombres engendré par une racine du polynôme est imprimitif ou primitif (contient un sous-corps non trivial ou n'en contient pas). Enfin, certains polynômes sont donnés sous la forme de résultant (res_y) de deux polynômes, indiquant ainsi un sous-corps et le polynôme relatif.
Cette liste est une mise à jour des résultats de ma thèse.

Si vous connaissez des polynômes qui ont naturellement leur place dans cette page, écrivez-moi !
Si vous voulez davantage de polynômes n'hésitez pas à m'en demander !

degré : 2,3,4, 5,6,7, 8,9,10, 11,12,13, 14,15,16, 17,18,19, 20,21,22, 23,24,25, 26,27,28, 30,32,33, 34,36,38, 40,42,44, 48.

2.0: p: -3: x²-x+1
2.2: p: 5: x²-x-1

3.1: p: -23: x³-x²+1
3.3: p: 49: x³-x²-2x+1

4.0: i: 117: res_y(y²+y+1,x²+yx-1)
4.0: p: 229: x⁴-x+1
4.2: i: -275: x⁴-x³+2x-1
4.2: p: -283: x⁴-x-1
4.4: i: 725: res_y(y²+y-1,x²+yx-1)
4.4: p: 1957: x⁴-4x²-x+1

5.1: p: 1609: x⁵-x³-x²+x+1
5.3: p: -4511: x⁵-x³-2x²+1
5.5: p: 14641: x⁵-x⁴-4x³+3x²+3x-1

6.0: i: -9747: x⁶-x⁵+x⁴-2x³+4x²-3x+1
6.0: p: -14731: x⁶-x⁵+x³-x²+1
6.2: i: 28037: res_y(y³+2y²+3y+1,x²+yx-1)
6.2: p: 29077: x⁶-x⁵+x⁴-x²+2x-1
6.4: p: -92779: x⁶-x⁵-2x⁴+3x³-x²-2x+1
6.4: i: -103243: x⁶-x⁵-x⁴-2x³+2x²+3x-1
6.6: i: 300125: x⁶-x⁵-7x⁴+2x³+7x²-2x-1
6.6: p: 592661: x⁶-x⁵-5x⁴+4x³+5x²-2x-1

7.1: p: -184607: x⁷-x⁶-x⁵+x⁴-x²+x+1
7.3: p: 612233: x⁷-x⁶+x⁵-x³+x²-x-1
7.5: p: -2306599: x⁷-3x⁵-x⁴+x³+3x²+x-1
7.7: p: 20134393: x⁷-x⁶-6x⁵+4x⁴+10x³-4x²-4x+1

8.0: i: 1257728: x⁸+2x⁷-4x⁵-4x⁴+3x²+2x+1
8.0: p: 1282789: x⁸+3x⁷-x⁶-8x⁵-x⁴+7x³+x²-2x+1
8.2: i: -4286875: x⁸-7x⁷+17x⁶-17x⁵+8x⁴-6x³+3x²+x+1
8.2: p: -4296211: x⁸-5x⁶-x⁵+8x⁴+3x³-4x²-2x+1
8.4: i: 15297613: x⁸+2x⁷-3x⁶-6x⁵+2x⁴+5x³+x²-2x-1
8.4: p: 15908237: x⁸-5x⁷+6x⁶+4x⁵-9x⁴+x³+3x²-x-1
8.6: p: -65106259: x⁸-4x⁷+x⁶+9x⁵-x⁴-10x³-2x²+4x+1
8.6: i: -68856875: x⁸-2x⁷-4x⁶+6x⁵+7x⁴-3x³-6x²-x+1
8.8: i: 282300416: res_y(y⁴-6y³+9y²-2y-1,x²-x-y)
8.8: p: 483345053: x⁸-2x⁷-6x⁶+13x⁵+7x⁴-21x³+4x²+4x-1

9.1: p: 29510281: x⁹-2x⁸-x⁷+x⁶+3x⁵+x⁴-2x³-x²+1
9.1: i: 32206049: x⁹+2x⁸+4x⁷+5x⁶+6x⁵+6x⁴+5x³+4x²+3x+1
9.3: p: -109880167: x⁹-2x⁸+x⁷+x⁶-3x⁵+x⁴+3x³-2x-1
9.3: i: -110852311: x⁹-x⁸-4x⁷+2x⁶+8x⁵-x⁴-8x³-2x²+3x+1
9.5: p: 453771377: x⁹+2x⁸-x⁷-2x⁶-x⁵-5x⁴+x³+5x²-1
9.5: i: 467890073: x⁹-8x⁷-4x⁶+19x⁵+12x⁴-17x³-9x²+6x+1
9.7: p: -1904081383: x⁹+x⁸-6x⁷-8x⁶+10x⁵+19x⁴-2x³-13x²-2x+1
9.7: i: -2668161671: x⁹-7x⁷-2x⁶+14x⁵+7x⁴-8x³-7x²+1
9.9: p: 9685993193: x⁹+2x⁸-7x⁷-14x⁶+15x⁵+30x⁴-10x³-19x²+2x+1
9.9: i: 16240385609: x⁹-x⁸-9x⁷+4x⁶+26x⁵-2x⁴-25x³-x²+7x+1

10.0: i: -209352647: x¹⁰-3x⁹+7x⁸-11x⁷+13x⁶-12x⁵+9x⁴-5x³+3x²-2x+1
10.0: p: -215067767: x¹⁰-x⁹-x⁸+2x⁷+x⁶-3x⁵+3x³-x²-x+1
10.2: i: 799905449: res_y(y⁵+y⁴+5y³+3y²+6y+1,x²+yx-1)
10.2: p: 801214577: x¹⁰-3x⁹+3x⁸-x⁷+x⁵-3x⁴+4x³-x²-x+1
10.4: p: -3191230411: x¹⁰-x⁹-3x⁸+5x⁶+4x⁵-4x⁴-2x³-x²-x+1
10.4: i: -3202088651: x¹⁰-2x⁹-2x⁸+5x⁷+x⁶-2x⁵-2x⁴-5x³+2x²+4x+1
10.6: p: 14002335917: x¹⁰-x⁹-x⁸+4x⁷-4x⁶+8x⁴-3x³-5x²+x+1
10.6: i: 14339628125: x¹⁰-2x⁹-2x⁸+10x⁷-3x⁶-15x⁵+8x⁴+4x³-3x²+4x-1
10.8: p: -74596123648: x¹⁰-2x⁹-6x⁸+10x⁷+15x⁶-16x⁵-19x⁴+10x³+9x²-2x-1
10.8: i: -91588346875: x¹⁰-x⁹-9x⁸+7x⁷+30x⁶-17x⁵-43x⁴+16x³+22x²-4x-1
10.10: p: 513087549389: x¹⁰+4x⁹-2x⁸-23x⁷-11x⁶+40x⁵+30x⁴-21x³-18x²+1
10.10: i: 572981288913: x¹⁰-x⁹-10x⁸+10x⁷+34x⁶-34x⁵-43x⁴+43x³+12x²-12x+1

11.1: p: -5781612911: x¹¹-2x¹⁰+2x⁹-3x⁸+6x⁷-8x⁶+7x⁵-7x⁴+7x³-6x²+3x-1
11.3: p: 23653561333: x¹¹-2x¹⁰-2x⁹+6x⁸+2x⁷-9x⁶+8x⁴-x³-5x²+1
11.5: p: -104044407583: x¹¹+x¹⁰-x⁹-2x⁸-4x⁷+2x⁵+3x⁴+3x³-x²-1
11.7: p: 487871635289: x¹¹-2x¹⁰-3x⁹+9x⁸-3x⁷-10x⁶+12x⁵-7x³+4x²+x-1
11.9: p: -2413345112407: x¹¹-x¹⁰-8x⁹+6x⁸+23x⁷-10x⁶-29x⁵+x⁴+16x³+6x²-3x-1
11.11: p: 30733206894581: x¹¹-2x¹⁰-10x⁹+19x⁸+37x⁷-65x⁶-61x⁵+94x⁴+42x³-48x²-9x+1

12.0: i: 41223887921: x¹²-2x¹¹+2x¹⁰-x⁹+2x⁸-5x⁷+8x⁶-7x⁵+4x⁴-3x³+4x²-3x+1
12.0: p: 42194001221: x¹²-3x¹¹+7x¹⁰-12x⁹+17x⁸-21x⁷+24x⁶-24x⁵+22x⁴-17x³+10x²-4x+1
12.2: p: -172922533711: x¹²-x¹¹-2x⁹+x⁷+x⁶+3x⁵-2x²-x-1
12.2: i: -179242037248: res_y(y⁶+4y⁵-14y³-5y²+24y+19,x²-yx+1)
12.4: i: 734297685397: res_y(y⁶-5y⁵+4y⁴+12y³-15y²-7y+11,x²-yx+1)
12.4: p: 767833756933: x¹²-2x¹¹+6x⁹-8x⁸-x⁷+10x⁶-7x⁵-4x⁴+6x³-x²-2x+1
12.6: p: -3686915115419: x¹²-x¹¹-9x¹⁰+8x⁹+28x⁸-21x⁷-40x⁶+22x⁵+28x⁴-8x³-9x²+x+1
12.6: i: -4063064230763: res_y(y⁶-7y⁵+24y³+25y²+9y+1,x²-x-y)
12.8: i: 17497403356237: x¹²-5x¹¹+5x¹⁰+11x⁹-24x⁸+11x⁷+12x⁶-35x⁵+25x⁴+21x³-20x²-4x+1
12.8: p: 18137291911168: x¹²-8x¹¹+20x¹⁰-4x⁹-50x⁸+40x⁷+54x⁶-48x⁵-40x⁴+26x³+15x²-6x-1
12.10: p: -110034817788739: x¹²-10x¹⁰-x⁹+35x⁸+6x⁷-51x⁶-13x⁵+27x⁴+12x³-2x²-4x-1
12.10: i: -201418549671875: x¹²-x¹¹-10x¹⁰+10x⁹+34x⁸-32x⁷-48x⁶+38x⁵+29x⁴-15x³-7x²+x+1
12.12: i: 551709470703125: x¹²-x¹¹-12x¹⁰+11x⁹+54x⁸-43x⁷-113x⁶+71x⁵+110x⁴-46x³-40x²+8x+1
12.12: p: 1246066316078125: x¹²-4x¹¹-5x¹⁰+34x⁹-x⁸-107x⁷+40x⁶+152x⁵-68x⁴-92x³+32x²+16x+1

13.1: p: 1296443603821: x¹³-7x¹²+19x¹¹-39x¹⁰+63x⁹-83x⁸+92x⁷-88x⁶+72x⁵-50x⁴+29x³-14x²+5x-1
13.3: p: -5894076408919: x¹³-5x¹²+13x¹¹-25x¹⁰+35x⁹-37x⁸+30x⁷-15x⁶+2x⁵+6x⁴-8x³+6x²-3x+1
13.5: p: 27148371732301: x¹³-3x¹²+8x¹⁰-8x⁹-4x⁸+13x⁷-6x⁶-5x⁵+8x⁴-3x³-x²+2x-1
13.7: p: -158547669654323: x¹³-2x¹²-12x¹¹+22x¹⁰+59x⁹-93x⁸-153x⁷+187x⁶+222x⁵-177x⁴-171x³+62x²+55x+1
13.9: p: 922071522770617: x¹³+x¹²-11x¹¹-8x¹⁰+47x⁹+19x⁸-97x⁷-5x⁶+95x⁵-27x⁴-32x³+18x²-3x+1
13.11: p: -4768959849003391: x¹³+2x¹²-10x¹¹-19x¹⁰+39x⁹+67x⁸-75x⁷-106x⁶+73x⁵+71x⁴-31x³-16x²+4x+1
13.13: p: 62557040066579369: x¹³+3x¹²-8x¹¹-27x¹⁰+23x⁹+91x⁸-28x⁷-141x⁶+12x⁵+98x⁴-24x²+1

14.0: i: -9866941650479: res_y(y⁷-3y⁶-y⁵+7y⁴-4y²+1,x²-yx+1)
14.0: p: -9977823237443: x¹⁴-5x¹³+15x¹²-34x¹¹+63x¹⁰-97x⁹+127x⁸-143x⁷+138x⁶-112x⁵+76x⁴-42x³+18x²-5x+1
14.2: i: 44856176930933: res_y(y⁷+2y⁶-3y⁵-6y⁴-y²-3y-1,x²-yx+1)
14.2: p: 45241136631013: x¹⁴-2x¹²+4x¹⁰-2x⁹-5x⁸+4x⁷+3x⁶-6x⁵+4x³-2x²-x+1
14.4: p: -202978988658371: x¹⁴-4x¹³+6x¹²-5x¹¹+2x¹⁰+3x⁹-7x⁸+7x⁷-6x⁶+2x⁵+x⁴-2x³+3x²-x+1
14.4: i: -232440717742163: res_y(y⁷+5y⁶+7y⁵-3y⁴-14y³-7y²+3y+1,x²-x-y)
14.6: p: 1025423340537577: x¹⁴-4x¹²-6x¹¹+4x¹⁰+16x⁹+10x⁸-13x⁷-21x⁶-3x⁵+14x⁴+10x³-2x²-4x-1
14.6: i: 1066457629922633: res_y(y⁷+7y⁶+11y⁵-22y⁴-76y³-49y²+30y+31,x²-yx+1)
14.8: i: -5221080604842703: x¹⁴-3x¹³-15x¹²+68x¹¹+4x¹⁰-413x⁹+674x⁸+208x⁷-1905x⁶+2671x⁵-1911x⁴+784x³-183x²+22x-1
14.8: p: -6477212527842647: x¹⁴-x¹³-3x¹²+8x¹¹-3x¹⁰-13x⁹+19x⁸-4x⁷-18x⁶+18x⁵-x⁴-9x³+5x²+x-1
14.10: i: 38213434345183981: res_y(y⁷-11y⁶+44y⁵-81y⁴+64y³-7y²-10y-1,x²-x-y)
14.10: p: 56531228750566573: x¹⁴+x¹³-12x¹²-10x¹¹+57x¹⁰+37x⁹-135x⁸-61x⁷+164x⁶+41x⁵-94x⁴-5x³+21x²-3x-1
14.12: p: -375594908253322939: x¹⁴+x¹³-13x¹²-12x¹¹+65x¹⁰+53x⁹-159x⁸-109x⁷+197x⁶+107x⁵-114x⁴-45x³+25x²+5x-1
14.12: i: -636873630702643379: res_y(y⁷-3y⁶-7y⁵+35y⁴-41y³+13y²+2y-1,x²-x-y)
14.14: i: 1776478047975643577: x¹⁴+2x¹³-15x¹²-19x¹¹+90x¹⁰+56x⁹-255x⁸-46x⁷+338x⁶-30x⁵-184x⁴+47x³+23x²-10x+1
14.14: p: 6013825446222379157: x¹⁴-3x¹³-10x¹²+34x¹¹+36x¹⁰-150x⁹-52x⁸+324x⁷+11x⁶-351x⁵+38x⁴+170x³-25x²-23x+1

15.1: p: -336785064838151: x¹⁵-3x¹⁴+7x¹³-13x¹²+20x¹¹-28x¹⁰+34x⁹-37x⁸+36x⁷-31x⁶+25x⁵-17x⁴+10x³-6x²+2x-1
15.1: i: -555486720069467: x¹⁵+5x¹⁴-x¹³-28x¹²-18x¹¹+56x¹⁰+58x⁹-44x⁸-69x⁷+5x⁶+39x⁵+12x⁴-11x³-6x²+x+1
15.3: p: 1714193679010601: x¹⁵-6x¹⁴+19x¹³-44x¹²+81x¹¹-124x¹⁰+160x⁹-178x⁸+173x⁷-146x⁶+107x⁵-67x⁴+36x³-15x²+5x-1
15.5: p: -9889196456378443: x¹⁵-4x¹⁴+6x¹³-x¹²-12x¹¹+18x¹⁰-6x⁹-14x⁸+19x⁷-4x⁶-10x⁵+8x⁴-4x²+x+1
15.7: p: 49954118550260597: x¹⁵-x¹⁴-11x¹³+11x¹²+47x¹¹-47x¹⁰-98x⁹+99x⁸+101x⁷-107x⁶-43x⁵+55x⁴+x³-10x²+2x+1
15.7: i: 149617272573627401: x¹⁵-5x¹³-5x¹²+5x¹¹+20x¹⁰+13x⁹-15x⁸-32x⁷-16x⁶+14x⁵+22x⁴+8x³-5x²-5x-1
15.9: p: -259445842195368391: x¹⁵-x¹⁴-12x¹³+11x¹²+56x¹¹-47x¹⁰-128x⁹+99x⁸+148x⁷-108x⁶-80x⁵+59x⁴+17x³-14x²-x+1
15.11: p: 1809208205586432929: x¹⁵-2x¹⁴-12x¹³+23x¹²+57x¹¹-102x¹⁰-136x⁹+219x⁸+169x⁷-234x⁶-100x⁵+114x⁴+21x³-18x²-1
15.13: p: -34014660913686708907: x¹⁵-10x¹⁴+32x¹³-9x¹²-142x¹¹+190x¹⁰+207x⁹-446x⁸-128x⁷+441x⁶+46x⁵-190x⁴-17x³+26x²+x-1
15.15: p: 363145034778499996657: x¹⁵+2x¹⁴-14x¹³-22x¹²+78x¹¹+82x¹⁰-214x⁹-116x⁸+289x⁷+40x⁶-172x⁵+12x⁴+44x³-8x²-4x+1
15.15: i: 756943935220796320321: x¹⁵-x¹⁴-14x¹³+13x¹²+78x¹¹-66x¹⁰-220x⁹+165x⁸+330x⁷-210x⁶-252x⁵+126x⁴+84x³-28x²-8x+1

16.0: i: 2609799434210737: res_y(y⁸+5y⁷+6y⁶-9y⁵-31y⁴-37y³-27y²-10y+1,x²-xy+1)
16.0: p: 3068002906183997: x¹⁶-5x¹⁵+15x¹⁴-36x¹³+72x¹²-121x¹¹+177x¹⁰-226x⁹+253x⁸-248x⁷+212x⁶-156x⁵+98x⁴-51x³+21x²-6x+1
16.2: i: -11705685949886767: x¹⁶+3x¹⁵+2x¹⁴-5x¹³-11x¹²-2x¹¹+16x¹⁰+15x⁹-7x⁸-18x⁷-6x⁶+10x⁵+8x⁴-2x³-3x²-x+1
16.2: p: -13627506010977623: x¹⁶-4x¹⁴+x¹³+9x¹²-3x¹¹-13x¹⁰+5x⁹+13x⁸-4x⁷-11x⁶+3x⁵+7x⁴-x³-3x²+1
16.4: i: 60447330360817889: res_y(y⁸+6y⁷+11y⁶-3y⁵-41y⁴-66y³-46y²-12y-1,x²+x-y)
16.4: p: 80200578945539669: x¹⁶-x¹⁵+x¹⁴+2x¹³-5x¹²+6x¹¹-2x¹⁰-5x⁹+9x⁸-8x⁷+x⁶+4x⁵-5x⁴+3x³-x+1
16.6: p: -488576402290603343: x¹⁶-2x¹⁵-9x¹⁴+18x¹³+31x¹²-62x¹¹-50x¹⁰+101x⁹+36x⁸-77x⁷-8x⁶+23x⁵-2x³-1
16.6: i: -530189487232240079: res_y(y⁸-6y⁷+9y⁶+7y⁵-21y⁴+13y²-y-1,x²+x-y)
16.8: i: 2065633544167346897: x¹⁶-3x¹⁵-13x¹⁴+53x¹³+28x¹²-319x¹¹+262x¹⁰+656x⁹-1343x⁸+366x⁷+1420x⁶-2084x⁵+1431x⁴-574x³+137x²-18x+1
16.8: p: 2527724787004400309: x¹⁶-14x¹⁴-x¹³+80x¹²+11x¹¹-240x¹⁰-46x⁹+404x⁸+92x⁷-377x⁶-91x⁵+179x⁴+42x³-34x²-8x+1
16.10: p: -14027767668189833431: x¹⁶+x¹⁵-14x¹⁴-13x¹³+78x¹²+67x¹¹-221x¹⁰-174x⁹+338x⁸+241x⁷-273x⁶-176x⁵+103x⁴+63x³-11x²-8x-1
16.10: i: -39165688288992519439: res_y(y⁸-10y⁷+38y⁶-68y⁵+55y⁴-9y³-12y²+3y+1,x²+x-y)
16.12: p: 91104975192612294989: x¹⁶-6x¹⁵+3x¹⁴+44x¹³-68x¹²-112x¹¹+264x¹⁰+100x⁹-446x⁸+26x⁷+364x⁶-88x⁵-137x⁴+41x³+20x²-4x-1
16.12: i: 181234382690889339001: res_y(y⁸-2y⁷+y⁶-3y⁵-5y⁴+6y³+4y²-2y-1,x²+yx-1)
16.14: i: -2166599664000000000000: res_y(y⁸-8y⁷+20y⁶-8y⁵-36y⁴+48y³-15y²-2y+1,x²-x-y)
16.14: p: -4852329765210578782823: x¹⁶-x¹⁵-15x¹⁴+14x¹³+91x¹²-79x¹¹-286x¹⁰+231x⁹+494x⁸-374x⁷-455x⁶+330x⁵+194x⁴-142x³-23x²+21x-2
16.16: i: 4151600163965461328125: res_y(y⁸-13y⁷+63y⁶-143y⁵+157y⁴-74y³+6y²+5y-1,x²-x-y)
16.16: p: 75341762604432007766521: x¹⁶-17x¹⁴+118x¹²+x¹¹-430x¹⁰-11x⁹+880x⁸+44x⁷-1000x⁶-78x⁵+576x⁴+60x³-128x²-16x+1

17.1: p: 97984550291978029: x¹⁷-2x¹⁶+5x¹⁵-9x¹⁴+14x¹³-21x¹²+28x¹¹-34x¹⁰+39x⁹-41x⁸+40x⁷-35x⁶+29x⁵-22x⁴+14x³-8x²+4x-1
17.3: p: -675725936983715711: x¹⁷+4x¹⁶+3x¹⁵-7x¹⁴-12x¹³+11x¹¹+2x¹⁰-7x⁹+3x⁸+12x⁷+x⁶-11x⁵-6x⁴+4x³+4x²-1
17.5: p: 3462565393841824229: x¹⁷+6x¹⁶+8x¹⁵-16x¹⁴-39x¹³+21x¹²+91x¹¹-5x¹⁰-123x⁹-16x⁸+105x⁷+15x⁶-61x⁵-3x⁴+22x³-2x²-4x+1
17.7: p: -30383869816887350663: x¹⁷-15x¹⁵+x¹⁴+92x¹³-11x¹²-297x¹¹+47x¹⁰+541x⁹-99x⁸-552x⁷+107x⁶+292x⁵-55x⁴-66x³+10x²+4x-1
17.9: p: 279117834864985945753: x¹⁷-4x¹⁶-6x¹⁵+39x¹⁴+2x¹³-149x¹²+55x¹¹+286x¹⁰-144x⁹-293x⁸+142x⁷+155x⁶-53x⁵-36x⁴+3x³+2x²+1
17.11: p: -1205448451307144937223: x¹⁷+x¹⁶-14x¹⁵-12x¹⁴+81x¹³+57x¹²-250x¹¹-136x¹⁰+442x⁹+170x⁸-444x⁷-104x⁶+232x⁵+24x⁴-49x³-x²+2x+1
17.13: p: 25522065986492999399417: x¹⁷-x¹⁶-16x¹⁵+15x¹⁴+105x¹³-92x¹²-362x¹¹+296x¹⁰+695x⁹-531x⁸-720x⁷+517x⁶+351x⁵-240x⁴-54x³+36x²-1
17.15: p: -754424650732128851556379: x¹⁷+x¹⁶-16x¹⁵-15x¹⁴+104x¹³+90x¹²-353x¹¹-276x¹⁰+670x⁹+459x⁸-708x⁷-406x⁶+392x⁵+174x⁴-100x³-28x²+9x+1

18.0: i: -813353263818459731: res_y(y⁹+5y⁸+15y⁷+30y⁶+45y⁵+50y⁴+42y³+24y²+8y+1,x²-x-y)
18.0: p: -1041990291060054731: x¹⁸-2x¹⁷-2x¹⁶+5x¹⁵+6x¹⁴-8x¹³-14x¹²+7x¹¹+22x¹⁰+2x⁹-22x⁸-12x⁷+13x⁶+14x⁵-2x⁴-8x³-2x²+2x+1
18.2: i: 3882675302999984089: res_y(y⁹+8y⁸+26y⁷+46y⁶+50y⁵+30y⁴-3y³-18y²-8y-1,x²+x-y)
18.2: p: 5374762945221541873: x¹⁸-x¹⁷-3x¹⁶+7x¹⁵+x¹⁴-16x¹³+11x¹²+16x¹¹-25x¹⁰-2x⁹+26x⁸-13x⁷-12x⁶+15x⁵-7x³+3x²+x-1
18.4: i: -21960508005098221571: res_y(y⁹+7y⁸+17y⁷+10y⁶-38y⁵-110y⁴-145y³-113y²-51y-11,x²-yx+1)
18.4: p: -49949648432157517567: x¹⁸-x¹⁷+3x¹⁵-7x¹⁴+4x¹³+3x¹²-12x¹¹+12x¹⁰-3x⁹-9x⁸+13x⁷-7x⁶-x⁵+6x⁴-4x³+x²+x-1
18.6: i: 136294362264505730221: res_y(y⁹-11y⁸+53y⁷-144y⁶+235y⁵-223y⁴+100y³+3y²-14y-1,x²+x-y)
18.6: p: 215845451835243001433: x¹⁸+5x¹⁷-3x¹⁶-49x¹⁵-30x¹⁴+195x¹³+204x¹²-406x¹¹-519x¹⁰+479x⁹+667x⁸-332x⁷-443x⁶+142x⁵+137x⁴-38x³-14x²+4x-1
18.8: i: -1047999309957441092791: x¹⁸-5x¹⁷-9x¹⁶+94x¹⁵-96x¹⁴-511x¹³+1358x¹²+36x¹¹-4433x¹⁰+6223x⁹+2x⁸-9461x⁷+12999x⁶-9428x⁵+4267x⁴-1241x³+225x²-23x+1
18.8: p: -2170294908408973424431: x¹⁸-16x¹⁶+x¹⁵+108x¹⁴-13x¹³-399x¹²+69x¹¹+875x¹⁰-192x⁹-1154x⁸+299x⁷+882x⁶-257x⁵-351x⁴+111x³+54x²-18x+1
18.10: i: 5386481861613431603329: res_y(y⁹-12y⁸+56y⁷-129y⁶+148y⁵-63y⁴-19y³+18y²-1,x²-x-y)
18.10: p: 11758604069748792736789: x¹⁸-2x¹⁷-12x¹⁶+23x¹⁵+59x¹⁴-107x¹³-151x¹²+258x¹¹+210x¹⁰-343x⁹-149x⁸+245x⁷+42x⁶-82x⁵+8x³-1
18.12: i: -37644290208944611459163: res_y(y⁹+7y⁸+6y⁷-58y⁶-132y⁵+73y⁴+425y³+243y²-201y-167,x²-yx+1)
18.12: p: -117873243733924016406287: x¹⁸-17x¹⁶+x¹⁵+120x¹⁴-13x¹³-454x¹²+66x¹¹+991x¹⁰-164x⁹-1250x⁸+203x⁷+861x⁶-110x⁵-279x⁴+14x³+26x²+4x+1
18.14: i: 214547097427475246206649: res_y(y⁹-14y⁸+74y⁷-186y⁶+217y⁵-70y⁴-51y³+17y²+10y+1,x²-x-y)
18.14: p: 1735763456961142847791613: x¹⁸-5x¹⁷-5x¹⁶+59x¹⁵-29x¹⁴-271x¹³+282x¹²+606x¹¹-848x¹⁰-670x⁹+1197x⁸+325x⁷-821x⁶-47x⁵+259x⁴-3x³-30x²+1
18.16: i: -1080694888369248859733231: res_y(y⁹-16y⁸+104y⁷-349y⁶+629y⁵-556y⁴+149y³+52y²-12y-1,x²-x-y)
18.16: p: -47453377537928695911809024: x¹⁸+2x¹⁷-16x¹⁶-30x¹⁵+108x¹⁴+186x¹³-397x¹²-616x¹¹+853x¹⁰+1176x⁹-1064x⁸-1300x⁷+712x⁶+784x⁵-203x⁴-214x³+6x²+12x+1
18.18: i: 36202993110042424993725741: x¹⁸-18x¹⁶-x¹⁵+135x¹⁴+15x¹³-546x¹²-90x¹¹+1287x¹⁰+276x⁹-1782x⁸-459x⁷+1385x⁶+405x⁵-534x⁴-170x³+72x²+24x+1

19.1: p: -67151184187148213203: x¹⁹+x¹⁸-2x¹⁷-4x¹⁶+3x¹⁵+9x¹⁴-3x¹³-16x¹²-x¹¹+20x¹⁰+5x⁹-19x⁸-7x⁷+14x⁶+6x⁵-8x⁴-3x³+3x²+x-1
19.3: p: 293889699820778667689: x¹⁹-5x¹⁷-3x¹⁶+12x¹⁵+12x¹⁴-14x¹³-26x¹²+5x¹¹+33x¹⁰+11x⁹-24x⁸-20x⁷+8x⁶+16x⁵+2x⁴-6x³-3x²+x+1
19.5: p: -1640783267216919594863: x¹⁹+2x¹⁸-7x¹⁷-10x¹⁶+27x¹⁵+21x¹⁴-62x¹³-19x¹²+92x¹¹-x¹⁰-92x⁹+23x⁸+62x⁷-27x⁶-27x⁵+17x⁴+7x³-6x²-x+1
19.7: p: 24349879441828030184441: x¹⁹+9x¹⁸+23x¹⁷-11x¹⁶-108x¹⁵-24x¹⁴+264x¹³+75x¹²-441x¹¹-77x¹⁰+510x⁹+13x⁸-386x⁷+45x⁶+172x⁵-40x⁴-37x³+11x²+3x-1
19.9: p: -81172345477394712921043: x¹⁹+2x¹⁸-16x¹⁷-31x¹⁶+110x¹⁵+203x¹⁴-425x¹³-729x¹²+1013x¹¹+1558x¹⁰-1538x⁹-2009x⁸+1480x⁷+1507x⁶-865x⁵-591x⁴+276x³+90x²-36x+1
19.11: p: 677712175493888590645321: x¹⁹-9x¹⁸+23x¹⁷+22x¹⁶-185x¹⁵+159x¹⁴+436x¹³-750x¹²-311x¹¹+1201x¹⁰-188x⁹-843x⁸+367x⁷+201x⁶-176x⁵+36x⁴+42x³-15x²-9x-1
19.13: p: -5045373792733700562144563: x¹⁹+2x¹⁸-16x¹⁷-30x¹⁶+109x¹⁵+186x¹⁴-411x¹³-615x¹²+930x¹¹+1168x¹⁰-1275x⁹-1281x⁸+1016x⁷+775x⁶-428x⁵-226x⁴+80x³+21x²-6x-1
19.15: p: 67570981671365062021501753: x¹⁹+9x¹⁸+21x¹⁷-35x¹⁶-195x¹⁵-62x¹⁴+628x¹³+552x¹²-1004x¹¹-1173x¹⁰+865x⁹+1145x⁸-395x⁷-528x⁶+86x⁵+98x⁴-7x³-6x²+1

20.0: i: 294179066004120138473: res_y(y¹⁰+10y⁹+47y⁸+133y⁷+243y⁶+297y⁵+253y⁴+152y³+58y²+12y+1,x²-x-y)
20.0: p: 415568410400940323953: x²⁰+5x¹⁹+20x¹⁸+59x¹⁷+145x¹⁶+304x¹⁵+555x¹⁴+892x¹³+1276x¹²+1631x¹¹+1865x¹⁰+1906x⁹+1735x⁸+1397x⁷+985x⁶+599x⁵+307x⁴+128x³+41x²+9x+1
20.2: i: -1240514077961238536107: res_y(y¹⁰+9y⁹+34y⁸+69y⁷+79y⁶+52y⁵+33y⁴+38y³+28y²+9y+1,x²+x-y)
20.2: p: -5223858452044775733991: x²⁰+8x¹⁹+33x¹⁸+94x¹⁷+209x¹⁶+386x¹⁵+613x¹⁴+855x¹³+1062x¹²+1185x¹¹+1194x¹⁰+1089x⁹+899x⁸+670x⁷+447x⁶+266x⁵+138x⁴+61x³+22x²+6x+1
20.4: i: 8248827519028002239989: res_y(y¹⁰-3y⁹-y⁸+17y⁷-28y⁶+45y⁴-56y³+32y²-9y+1,x²-yx+1)
20.4: p: 28551661075727084593801: x²⁰+x¹⁹-15x¹⁸-15x¹⁷+94x¹⁶+94x¹⁵-319x¹⁴-319x¹³+636x¹²+636x¹¹-758x¹⁰-758x⁹+529x⁸+529x⁷-205x⁶-205x⁵+40x⁴+40x³-3x²-3x+1
20.6: i: -59553360765360541453819: x²⁰+x¹⁹-5x¹⁸-4x¹⁷+7x¹⁶+11x¹⁵+4x¹⁴-21x¹³-18x¹²+13x¹¹+25x¹⁰+12x⁹-23x⁸-18x⁷+4x⁶+12x⁵+7x⁴-5x³-2x²-x+1
20.6: p: -203332212852356144437939: x²⁰+4x¹⁹-10x¹⁸-55x¹⁷+29x¹⁶+318x¹⁵+34x¹⁴-1002x¹³-404x¹²+1861x¹¹+1050x¹⁰-2049x⁹-1362x⁸+1261x⁷+955x⁶-359x⁵-342x⁴+14x³+48x²+8x+1
20.8: i: 336605885845914288243389: res_y(y¹⁰+4y⁹+12y⁸+27y⁷+41y⁶+49y⁵+45y⁴+34y³+20y²+7y+1,x²+yx-1)
20.8: p: 1275824144641980241620469: x²⁰-19x¹⁸-x¹⁷+154x¹⁶+16x¹⁵-693x¹⁴-106x¹³+1886x¹²+374x¹¹-3166x¹⁰-751x⁹+3197x⁸+846x⁷-1798x⁶-486x⁵+474x⁴+108x³-36x²-1
20.10: i: -2949769135535838301668911: x²⁰-x¹⁹-28x¹⁸+54x¹⁷+266x¹⁶-805x¹⁵-711x¹⁴+4883x¹³-3357x¹²-10552x¹¹+21394x¹⁰-7676x⁹-21878x⁸+38490x⁷-32431x⁶+17251x⁵-6187x⁴+1507x³-241x²+23x-1
20.10: p: -11154261525452625383973439: x²⁰+x¹⁹-18x¹⁸-17x¹⁷+137x¹⁶+121x¹⁵-574x¹⁴-468x¹³+1444x¹²+1068x¹¹-2232x¹⁰-1460x⁹+2084x⁸+1156x⁷-1113x⁶-481x⁵+310x⁴+85x³-41x²-5x+1
20.12: i: 29001517818595120504239517: res_y(y¹⁰-3y⁹-6y⁸-18y⁷-30y⁶-3y⁵+44y⁴+56y³+32y²+9y+1,x²+yx-1)
20.12: p: 147497380939480220087079881: x²⁰+3x¹⁹-14x¹⁸-47x¹⁷+78x¹⁶+310x¹⁵-212x¹⁴-1118x¹³+250x¹²+2397x¹¹+49x¹⁰-3114x⁹-444x⁸+2398x⁷+423x⁶-1025x⁵-137x⁴+208x³+6x²-12x+1
20.14: i: -488197741488077231431184831: res_y(y¹⁰-14y⁹+81y⁸-248y⁷+423y⁶-377y⁵+124y⁴+32y³-24y²+1,x²+x-y)
20.14: p: -5184610569604085861604044503: x²⁰+4x¹⁹-11x¹⁸-57x¹⁷+44x¹⁶+347x¹⁵-60x¹⁴-1175x¹³-84x¹²+2410x¹¹+405x¹⁰-3051x⁹-574x⁸+2323x⁷+380x⁶-985x⁵-107x⁴+196x³+6x²-12x+1
20.16: i: 1672052832924406329741691801: res_y(y¹⁰-12y⁹+62y⁸-186y⁷+355y⁶-426y⁵+292y⁴-88y³-3y²+7y-1,x²-x-y)
20.16: p: 16157863030963705464755904817: x²⁰+x¹⁹-20x¹⁸-19x¹⁷+171x¹⁶+153x¹⁵-815x¹⁴-678x¹³+2366x¹²+1793x¹¹-4290x¹⁰-2859x⁹+4786x⁸+2620x⁷-3110x⁶-1193x⁵+1055x⁴+164x³-151x²+11x+1
20.18: i: -94776722787404662171147902739: res_y(y¹⁰+17y⁹+119y⁸+441y⁷+924y⁶+1077y⁵+628y⁴+121y³-28y²-12y-1,x²+x+y)
20.20: i: 169675210983039290802001953125: x²⁰-x¹⁹-20x¹⁸+19x¹⁷+170x¹⁶-151x¹⁵-801x¹⁴+650x¹³+2289x¹²-1639x¹¹-4080x¹⁰+2442x⁹+4489x⁸-2058x⁷-2891x⁶+877x⁵+951x⁴-151x³-108x²+12x+1

21.1: p: 34482057615039759645721: x²¹+2x²⁰-9x¹⁹-21x¹⁸+31x¹⁷+90x¹⁶-53x¹⁵-214x¹⁴+51x¹³+333x¹²-23x¹¹-361x¹⁰-4x⁹+277x⁸+12x⁷-149x⁶-6x⁵+53x⁴+x³-11x²+1
21.1: i: 85593938121111084018457: x²¹-5x²⁰+12x¹⁹-16x¹⁸+10x¹⁷+5x¹⁶-19x¹⁵+25x¹⁴-24x¹³+21x¹²-17x¹¹+12x¹⁰-7x⁹+5x⁸-6x⁷+7x⁶-3x⁵-3x⁴+4x³-2x+1
21.3: p: -150590362732584743063267: x²¹+x²⁰-10x¹⁹-5x¹⁸+45x¹⁷+18x¹⁶-120x¹⁵-24x¹⁴+210x¹³+2x¹²-252x¹¹+41x¹⁰+210x⁹-67x⁸-120x⁷+56x⁶+45x⁵-28x⁴-10x³+8x²+x-1
21.3: i: -789836520330544607428631: x²¹-7x¹⁹-4x¹⁸+21x¹⁷+24x¹⁶-41x¹⁵-60x¹⁴+65x¹³+86x¹²-81x¹¹-84x¹⁰+87x⁹+60x⁸-91x⁷-10x⁶+66x⁵-30x⁴-13x³+18x²-7x+1
21.5: p: 2998905653795702969882153: x²¹+3x²⁰-13x¹⁹-42x¹⁸+72x¹⁷+250x¹⁶-223x¹⁵-821x¹⁴+428x¹³+1613x¹²-536x¹¹-1919x¹⁰+451x⁹+1328x⁸-256x⁷-476x⁶+92x⁵+64x⁴-16x³+1
21.5: i: 6322536328503891392782441: x²¹+7x²⁰+9x¹⁹-32x¹⁸-85x¹⁷+18x¹⁶+224x¹⁵+127x¹⁴-239x¹³-283x¹²+49x¹¹+252x¹⁰+124x⁹-100x⁸-122x⁷+x⁶+46x⁵+16x⁴-6x³-7x²+1
21.7: p: -19172891990497966004371039: x²¹-18x¹⁹+139x¹⁷-603x¹⁵+x¹⁴+1616x¹³-11x¹²-2770x¹¹+47x¹⁰+3037x⁹-99x⁸-2064x⁷+107x⁶+807x⁵-55x⁴-155x³+10x²+10x-1
21.7: i: -32779674916162045493206847: x²¹-5x²⁰-2x¹⁹+37x¹⁸-12x¹⁷-108x¹⁶+23x¹⁵+171x¹⁴+55x¹³-138x¹²-189x¹¹-23x¹⁰+172x⁹+164x⁸+x⁷-112x⁶-84x⁵-7x⁴+28x³+21x²+7x+1
21.9: p: 72988832652439117027217237: x²¹-3x²⁰-14x¹⁹+46x¹⁸+81x¹⁷-301x¹⁶-244x¹⁵+1093x¹⁴+378x¹³-2397x¹²-170x¹¹+3235x¹⁰-367x⁹-2618x⁸+652x⁷+1175x⁶-415x⁵-246x⁴+106x³+16x²-8x-1
21.9: i: 102182477212197167982592841: x²¹-4x²⁰-x¹⁹+38x¹⁸-92x¹⁷+48x¹⁶+174x¹⁵-323x¹⁴-74x¹³+936x¹²-1226x¹¹+27x¹⁰+2011x⁹-3095x⁸+2346x⁷-701x⁶-413x⁵+585x⁴-316x³+94x²-15x+1
21.11: i: -2927210245661857560044580707: x²¹-19x²⁰+158x¹⁹-758x¹⁸+2332x¹⁷-4862x¹⁶+7164x¹⁵-7853x¹⁴+6785x¹³-4578x¹²+1975x¹¹-157x¹⁰-444x⁹+550x⁸-404x⁷+90x⁶+11x⁵-11x⁴+30x³-7x²-3x+1
21.11: p: -3019633646279902743554464091: x²¹+x²⁰-17x¹⁹-18x¹⁸+122x¹⁷+137x¹⁶-479x¹⁵-574x¹⁴+1112x¹³+1443x¹²-1530x¹¹-2223x¹⁰+1159x⁹+2053x⁸-361x⁷-1061x⁶-48x⁵+266x⁴+47x³-24x²-6x+1
21.13: p: 6300772916540026213532768321: x²¹+2x²⁰-18x¹⁹-35x¹⁸+140x¹⁷+262x¹⁶-614x¹⁵-1092x¹⁴+1660x¹³+2761x¹²-2836x¹¹-4320x¹⁰+3008x⁹+4079x⁸-1854x⁷-2149x⁶+567x⁵+528x⁴-54x³-36x²-1
21.13: i: 51240487242045559171080383449: x²¹-12x¹⁹-11x¹⁸+55x¹⁷+95x¹⁶-93x¹⁵-306x¹⁴-28x¹³+475x¹²+294x¹¹-396x¹⁰-433x⁹+183x⁸+334x⁷-53x⁶-154x⁵+19x⁴+39x³-7x²-4x+1
21.15: p: -103138205177997448430258698267: x²¹-20x¹⁹+2x¹⁸+162x¹⁷-28x¹⁶-691x¹⁵+153x¹⁴+1699x¹³-427x¹²-2489x¹¹+666x¹⁰+2184x⁹-607x⁸-1130x⁷+328x⁶+331x⁵-101x⁴-50x³+16x²+3x-1

22.0: i: -107998378243171290376163: res_y(y¹¹+5y¹⁰+4y⁹-18y⁸-40y⁷-20y⁶+23y⁵+46y⁴+41y³+21y²+7y+1,x²+xy+1)
22.0: p: -379809031292434917529379: x²²-5x²¹+16x²⁰-41x¹⁹+88x¹⁸-163x¹⁷+269x¹⁶-398x¹⁵+536x¹⁴-660x¹³+746x¹²-777x¹¹+746x¹⁰-659x⁹+535x⁸-397x⁷+268x⁶-163x⁵+88x⁴-41x³+16x²-5x+1
22.2: i: 536711831589389927080153: res_y(y¹¹-8y⁹+22y⁷-2y⁶-25y⁵+6y⁴+10y³-4y²-1,x²+xy+1)
22.4: i: -3398602253961828540651439: res_y(y¹¹-9y¹⁰+30y⁹-35y⁸-46y⁷+213y⁶-327y⁵+279y⁴-138y³+30y²+4y-1,x²+xy+1)
22.6: i: 24102052053683949980878777: res_y(y¹¹+y¹⁰-y⁹+2y⁸-5y⁶-2y⁵+6y⁴+3y³-4y²-y+1,x²-x+y+1)
22.8: p: -357912882739149816898151203: x²²-18x²⁰-x¹⁹+139x¹⁸+16x¹⁷-602x¹⁶-108x¹⁵+1604x¹⁴+400x¹³-2711x¹²-885x¹¹+2882x¹⁰+1192x⁹-1827x⁸-950x⁷+594x⁶+408x⁵-50x⁴-72x³-12x²+1
22.8: i: -454134285763030573369404319: res_y(y¹¹+y¹⁰-4y⁹-y⁸+9y⁷-3y⁶-11y⁵+6y⁴+4y³-5y²+y+1,x²+x+y-1)
22.10: i: 1608366390110260588308910001: res_y(y¹¹+y¹⁰+2y⁹+3y⁸-5y⁷-5y⁶+3y⁵+2y⁴-2y³+2y-1,x²+xy-1)
22.10: p: 12907086306322284114197725637: x²²+3x²¹-16x²⁰-53x¹⁹+105x¹⁸+401x¹⁷-355x¹⁶-1694x¹⁵+609x¹⁴+4367x¹³-304x¹²-7056x¹¹-645x¹⁰+7081x⁹+1159x⁸-4252x⁷-691x⁶+1429x⁵+149x⁴-232x³-6x²+12x+1
22.12: i: -30284695472228064975248516279: res_y(y¹¹+y¹⁰-2y⁹+2y⁸-y⁷-9y⁶+10y⁵+6y⁴-13y³+y²+4y-1,x²-x-y-1)
22.12: p: -115088853880462959288063766979: x²²-3x²¹-16x²⁰+51x¹⁹+109x¹⁸-372x¹⁷-412x¹⁶+1520x¹⁵+942x¹⁴-3810x¹³-1326x¹²+6032x¹¹+1104x¹⁰-5990x⁹-465x⁸+3589x⁷+34x⁶-1201x⁵+35x⁴+196x³-6x²-12x-1
22.14: i: 285759703957044588294931170541: res_y(y¹¹-2y⁹-y⁸-4y⁷-5y⁶+8y⁵+11y⁴-5y³-6y²+y+1,x²+x-y-1)
22.14: p: 363103402760286758581231469957: x²²+2x²¹-20x²⁰-42x¹⁹+167x¹⁸+376x¹⁷-744x¹⁶-1864x¹⁵+1844x¹⁴+5552x¹³-2248x¹²-10047x¹¹+263x¹⁰+10561x⁹+2412x⁸-5681x⁷-2191x⁶+1172x⁵+453x⁴-125x³-27x²+6x+1
22.16: i: -4743465430592967266610606635579: res_y(y¹¹+2y¹⁰-8y⁹-16y⁸+21y⁷+42y⁶-21y⁵-42y⁴+7y³+14y²-1,x²+x-y-1)
22.18: i: 13193141640994946075582963010901: res_y(y¹¹-2y⁹+y⁸-12y⁷-2y⁶+26y⁵-3y⁴-16y³+4y²+3y-1,x²+xy-1)

23.1: p: -19428663093300286157663927: x²³-4x²²+15x²¹-40x²⁰+93x¹⁹-187x¹⁸+334x¹⁷-540x¹⁶+793x¹⁵-1069x¹⁴+1326x¹³-1518x¹²+1606x¹¹-1569x¹⁰+1413x⁹-1169x⁸+883x⁷-603x⁶+369x⁵-197x⁴+89x³-32x²+8x-1
23.3: p: 79972758619041750666817201: x²³+13x²²+89x²¹+419x²⁰+1506x¹⁹+4359x¹⁸+10482x¹⁷+21355x¹⁶+37346x¹⁵+56581x¹⁴+74757x¹³+86532x¹²+87967x¹¹+78546x¹⁰+61434x⁹+41853x⁸+24620x⁷+12355x⁶+5203x⁵+1797x⁴+492x³+101x²+14x+1
23.5: p: -849003720184333875827275823: x²³-14x²¹+10x²⁰+58x¹⁹-38x¹⁸-160x¹⁷+86x¹⁶+304x¹⁵-134x¹⁴-404x¹³+142x¹²+387x¹¹-100x¹⁰-272x⁹+44x⁸+139x⁷-11x⁶-50x⁵+3x⁴+14x³-x²-4x-1
23.7: p: 4452973495079570492925497957: x²³+3x²²-14x²¹-46x²⁰+82x¹⁹+301x¹⁸-262x¹⁷-1097x¹⁶+504x¹⁵+2438x¹⁴-622x¹³-3401x¹²+534x¹¹+2955x¹⁰-345x⁹-1535x⁸+156x⁷+440x⁶-37x⁵-61x⁴+3x³+3x²+1
23.9: p: -16656303582514502292550218959: x²³+3x²²-16x²¹-51x²⁰+112x¹⁹+379x¹⁸-452x¹⁷-1614x¹⁶+1166x¹⁵+4336x¹⁴-2009x¹³-7618x¹²+2329x¹¹+8770x¹⁰-1759x⁹-6433x⁸+784x⁷+2808x⁶-156x⁵-628x⁴+48x²-1
23.13: p: -1323214155069379088591359558775: x²³+2x²²-21x²¹-41x²⁰+194x¹⁹+366x¹⁸-1038x¹⁷-1866x¹⁶+3564x¹⁵+5988x¹⁴-8220x¹³-12564x¹²+12951x¹¹+17334x¹⁰-13887x⁹-15399x⁸+9890x⁷+8350x⁶-4434x⁵-2470x⁴+1120x³+300x²-120x-1

24.0: i: 37886087608691786498090597: x²⁴-x²³+6x²²-x²¹+10x²⁰+6x¹⁹+11x¹⁸-2x¹⁷+21x¹⁶-27x¹⁵+8x¹⁴-24x¹³-15x¹²-24x¹¹+8x¹⁰-27x⁹+21x⁸-2x⁷+11x⁶+6x⁵+10x⁴-x³+6x²-x+1
24.2: i: -338458030960681792551324071: x²⁴-3x²³+9x²²-22x²¹+45x²⁰-83x¹⁹+138x¹⁸-209x¹⁷+291x¹⁶-374x¹⁵+447x¹⁴-497x¹³+513x¹²-497x¹¹+447x¹⁰-374x⁹+291x⁸-209x⁷+138x⁶-83x⁵+45x⁴-22x³+9x²-3x+1
24.4: i: 1782755427225878694163152049: x²⁴+12x²³+72x²²+286x²¹+840x²⁰+1932x¹⁹+3594x¹⁸+5499x¹⁷+6947x¹⁶+7160x¹⁵+5767x¹⁴+3129x¹³+208x¹²-1969x¹¹-2866x¹⁰-2624x⁹-1808x⁸-979x⁷-426x⁶-159x⁵-63x⁴-31x³-16x²-6x-1
24.6: i: -23645390555295627946291692479: x²⁴-7x²³+25x²²-67x²¹+149x²⁰-286x¹⁹+489x¹⁸-754x¹⁷+1063x¹⁶-1379x¹⁵+1655x¹⁴-1845x¹³+1911x¹²-1845x¹¹+1655x¹⁰-1379x⁹+1063x⁸-754x⁷+489x⁶-286x⁵+149x⁴-67x³+25x²-7x+1
24.8: i: 143375498352337582073361465344: x²⁴-12x²³+54x²²-88x²¹-103x²⁰+568x¹⁹-426x¹⁸-1068x¹⁷+1809x¹⁶+692x¹⁵-3006x¹⁴+432x¹³+2916x¹²-1214x¹¹-1799x¹⁰+1132x⁹+687x⁸-606x⁷-147x⁶+204x⁵+8x⁴-44x³+6x²+4x-1
24.10: i: -1155058975841406047048835372719: x²⁴+12x²³+52x²²+66x²¹-189x²⁰-658x¹⁹-130x¹⁸+1908x¹⁷+1822x¹⁶-2832x¹⁵-4459x¹⁴+2401x¹³+5961x¹²-1121x¹¹-5082x¹⁰+175x⁹+2874x⁸+119x⁷-1068x⁶-101x⁵+246x⁴+35x³-28x²-4x+1
24.12: i: 31892423120801508936152820466241: x²⁴+12x²³+56x²²+110x²¹-18x²⁰-488x¹⁹-766x¹⁸+117x¹⁷+1667x¹⁶+1640x¹⁵-615x¹⁴-2405x¹³-1428x¹²+825x¹¹+1560x¹⁰+564x⁹-403x⁸-453x⁷-103x⁶+68x⁵+51x⁴+14x³-2x²-4x-1
24.14: i: -261882648303358248183337859735711: x²⁴-12x²³+56x²²-110x²¹-7x²⁰+378x¹⁹-352x¹⁸-708x¹⁷+1285x¹⁶+600x¹⁵-2496x¹⁴+546x¹³+2566x¹²-1688x¹¹-1369x¹⁰+1662x⁹+292x⁸-930x⁷+81x⁶+308x⁵-71x⁴-50x³+15x²+3x-1
24.16: i: 4013390480518880466881777656202401: x²⁴+12x²³+58x²²+132x²¹+72x²⁰-358x¹⁹-937x¹⁸-738x¹⁷+800x¹⁶+2456x¹⁵+2041x¹⁴-677x¹³-3035x¹²-2551x¹¹+1785x⁹+1480x⁸+233x⁷-443x⁶-333x⁵-50x⁴+49x³+23x²-1
24.20: i: 393154007302196873946254679061037056: x²⁴-21x²²+192x²⁰-1005x¹⁸+3301x¹⁶-7050x¹⁴+9900x¹²-9115x¹⁰+5420x⁸-2007x⁶+427x⁴-43x²+1
24.24: i: 161761786626698377317203521728515625: x²⁴+x²³-23x²²-23x²¹+230x²⁰+229x¹⁹-1312x¹⁸-1294x¹⁷+4709x¹⁶+4573x¹⁵-11067x¹⁴-10506x¹³+17187x¹²+15810x¹¹-17391x¹⁰-15333x⁹+11034x⁸+9189x⁷-4088x⁶-3142x⁵+784x⁴+528x³-64x²-32x+1

25.1: p: 129099600509863080815214961637: x²⁵-2x²⁴+3x²³-4x²²+5x²¹-6x²⁰+7x¹⁹-8x¹⁸+9x¹⁷-9x¹⁶+9x¹⁵-8x¹⁴+6x¹³-5x¹²+3x¹¹-x¹⁰+x⁸-2x⁷+3x⁶-3x⁵+3x⁴-3x³+2x²-x+1
25.3: p: -607530313557458600557841746759: x²⁵-11x²⁴+67x²³-284x²²+924x²¹-2422x²⁰+5267x¹⁹-9671x¹⁸+15156x¹⁷-20380x¹⁶+23531x¹⁵-23217x¹⁴+19327x¹³-13188x¹²+6860x¹¹-2053x¹⁰-569x⁹+1353x⁸-1118x⁷+604x⁶-211x⁵+25x⁴+22x³-18x²+7x-1
25.5: p: 1621845684586061889231543125837: x²⁵-10x²⁴+54x²³-208x²²+628x²¹-1568x²⁰+3345x¹⁹-6226x¹⁸+10268x¹⁷-15159x¹⁶+20187x¹⁵-24371x¹⁴+26756x¹³-26756x¹²+24370x¹¹-20187x¹⁰+15159x⁹-10268x⁸+6226x⁷-3345x⁶+1568x⁵-628x⁴+208x³-54x²+10x-1
25.7: p: -16693453533590270424331126316771: x²⁵+12x²⁴+66x²³+220x²²+486x²¹+702x²⁰+518x¹⁹-297x¹⁸-1400x¹⁷-1884x¹⁶-1075x¹⁵+591x¹⁴+1778x¹³+1549x¹²+312x¹¹-716x¹⁰-824x⁹-315x⁸+125x⁷+206x⁶+86x⁵-10x⁴-24x³-8x²+x+1
25.9: p: 409834822565143690732924136953609: x²⁵+12x²⁴+46x²³+8x²²-353x²¹-556x²⁰+1058x¹⁹+2769x¹⁸-1737x¹⁷-7157x¹⁶+2038x¹⁵+11826x¹⁴-2689x¹³-13222x¹²+4084x¹¹+9780x¹⁰-4661x⁹-4233x⁸+3201x⁷+626x⁶-1128x⁵+219x⁴+126x³-72x²+14x-1
25.11: p: -615881985522689712778200128181811: x²⁵-11x²⁴+41x²³-20x²²-264x²¹+611x²⁰+237x¹⁹-2355x¹⁸+1587x¹⁷+3945x¹⁶-5115x¹⁵-3518x¹⁴+7264x¹³+2117x¹²-6353x¹¹-1456x¹⁰+3812x⁹+1151x⁸-1463x⁷-618x⁶+224x⁵+160x⁴+36x³-5x²-6x-1

26.0: i: -27913114648851916933143115871: x²⁶-x²⁵+3x²⁴-4x²³+6x²²-8x²¹+9x²⁰-12x¹⁹+12x¹⁸-14x¹⁷+14x¹⁶-14x¹⁵+15x¹⁴-13x¹³+15x¹²-14x¹¹+14x¹⁰-14x⁹+12x⁸-12x⁷+9x⁶-8x⁵+6x⁴-4x³+3x²-x+1
26.2: i: 118138280244622969648648274941: x²⁶-13x²⁵+91x²⁴-442x²³+1650x²²-4994x²¹+12665x²⁰-27507x¹⁹+51965x¹⁸-86374x¹⁷+127427x¹⁶-167988x¹⁵+198921x¹⁴-212361x¹³+204829x¹²-178548x¹¹+140375x¹⁰-99055x⁹+62216x⁸-34357x⁷+16404x⁶-6627x⁵+2203x⁴-580x³+114x²-15x+1
26.4: i: -1040279941681352250650026233619: x²⁶-13x²⁵+91x²⁴-442x²³+1650x²²-4994x²¹+12661x²⁰-27467x¹⁹+51747x¹⁸-85552x¹⁷+125062x¹⁶-162532x¹⁵+188524x¹⁴-195690x¹³+182075x¹²-151939x¹¹+113658x¹⁰-76073x⁹+45397x⁸-24016x⁷+11165x⁶-4501x⁵+1542x⁴-435x³+95x²-14x+1
26.6: i: 22211163076419026499081519461737: x²⁶+6x²⁵+20x²⁴+52x²³+112x²²+211x²¹+360x²⁰+560x¹⁹+805x¹⁸+1073x¹⁷+1336x¹⁶+1560x¹⁵+1710x¹⁴+1765x¹³+1710x¹²+1560x¹¹+1336x¹⁰+1073x⁹+805x⁸+560x⁷+360x⁶+211x⁵+112x⁴+52x³+20x²+6x+1
26.8: p: -290370196591712272449871576725583: x²⁶+4x²⁵-15x²⁴-75x²³+85x²²+617x²¹-171x²⁰-2923x¹⁹-402x¹⁸+8794x¹⁷+3303x¹⁶-17461x¹⁵-9211x¹⁴+23001x¹³+14633x¹²-19630x¹¹-14360x¹⁰+10183x⁹+8674x⁸-2744x⁷-3040x⁶+187x⁵+536x⁴+53x³-33x²-6x+1
26.10: i: 1599047396045456798233737135058729: x²⁶+13x²⁵+70x²⁴+190x²³+207x²²-253x²¹-1146x²⁰-1340x¹⁹+343x¹⁸+2821x¹⁷+2974x¹⁶-314x¹⁵-3701x¹⁴-3225x¹³+396x¹²+2814x¹¹+1842x¹⁰-416x⁹-1242x⁸-534x⁷+216x⁶+288x⁵+64x⁴-44x³-25x²-x+1
26.12: i: -131948620119461406358981404664193099: x²⁶+13x²⁵+67x²⁴+154x²³+35x²²-627x²¹-1280x²⁰-216x¹⁹+2668x¹⁸+3625x¹⁷-394x¹⁶-5430x¹⁵-4476x¹⁴+1898x¹³+5521x¹²+2447x¹¹-2185x¹⁰-2798x⁹-424x⁸+1039x⁷+649x⁶-63x⁵-199x⁴-52x³+16x²+9x+1
26.14: i: 279606089126562659546543389357032709: x²⁶-13x²⁵+65x²⁴-130x²³-68x²²+748x²¹-852x²⁰-1215x¹⁹+3015x¹⁸+491x¹⁷-5084x¹⁶+688x¹⁵+6052x¹⁴-1024x¹³-5795x¹²+489x¹¹+4270x¹⁰+273x⁹-2228x⁸-550x⁷+730x⁶+317x⁵-107x⁴-80x³+7x+1
26.16: p: -10766283169612606806299902061193086311: x²⁶-13x²⁴-15x²³+78x²²+154x²¹-286x²⁰-579x¹⁹+715x¹⁸+865x¹⁷-1287x¹⁶+124x¹⁵+1716x¹⁴-2229x¹³-1716x¹²+3421x¹¹+1287x¹⁰-2709x⁹-715x⁸+1279x⁷+286x⁶-364x⁵-78x⁴+58x³+13x²-4x-1
26.18: i: 53448263818690604995573656846143768261: x²⁶-13x²⁵+65x²⁴-130x²³-63x²²+693x²¹-636x²⁰-1450x¹⁹+2295x¹⁸+2696x¹⁷-5618x¹⁶-4322x¹⁵+11339x¹⁴+3317x¹³-15272x¹²+814x¹¹+12396x¹⁰-3329x⁹-5807x⁸+2384x⁷+1475x⁶-765x⁵-188x⁴+111x³+14x²-7x-1

27.1: p: -77302478433842264174513534351387: x²⁷-15x²⁶+121x²⁵-675x²⁴+2883x²³-9941x²²+28578x²¹-69944x²⁰+147849x¹⁹-272648x¹⁸+441763x¹⁷-632028x¹⁶+801119x¹⁵-901499x¹⁴+901498x¹³-801119x¹²+632028x¹¹-441763x¹⁰+272648x⁹-147849x⁸+69944x⁷-28578x⁶+9941x⁵-2883x⁴+675x³-121x²+15x-1
27.3: i: 1336720986735505736036259928306033: x²⁷-2x²⁵-9x²⁴-2x²³+16x²²+41x²¹+14x²⁰-55x¹⁹-114x¹⁸-48x¹⁷+107x¹⁶+202x¹⁵+94x¹⁴-127x¹³-229x¹²-107x¹¹+96x¹⁰+161x⁹+67x⁸-48x⁷-67x⁶-20x⁵+15x⁴+14x³+2x²-2x-1
27.5: i: -4142086358540455760246643579343243: x²⁷-8x²⁶+24x²⁵-22x²⁴-47x²³+130x²²-34x²¹-213x²⁰+151x¹⁹+295x¹⁸-266x¹⁷-443x¹⁶+426x¹⁵+591x¹⁴-571x¹³-684x¹²+646x¹¹+621x¹⁰-537x⁹-455x⁸+300x⁷+269x⁶-91x⁵-115x⁴-2x³+25x²+9x+1
27.7: i: 4589787664480643358735677798214413: x²⁷-9x²⁵-5x²⁴+36x²³+40x²²-77x²¹-140x²⁰+77x¹⁹+280x¹⁸+21x¹⁷-350x¹⁶-166x¹⁵+280x¹⁴+234x¹³-135x¹²-188x¹¹+20x¹⁰+91x⁹+25x⁸-11x⁷-20x⁶-16x⁵+5x⁴+11x³-4x+1
27.9: i: -396667839003733715093930430571090463: -x²⁷+12x²⁶-57x²⁵+129x²⁴-111x²³-76x²²+204x²¹-82x²⁰-2x¹⁹-101x¹⁸+102x¹⁷+18x¹⁶-90x¹⁵+95x¹⁴-51x¹³+48x¹²-45x¹¹-9x¹⁰+29x⁹-26x⁸+15x⁷-11x⁶+13x⁵-3x⁴-3x³+6x²-3x+1

28.0: i: 41234698411531193629362341046937: res_y(y¹⁴+3y¹³-3y¹¹+3y¹⁰-y⁹-7y⁸+3y⁶-3y⁵+4y³+1,x²+xy+1)
28.2: i: -244646156594563969942241270474759: res_y(y¹⁴-2y¹³+y¹¹+2y¹⁰+4y⁹-5y⁸-4y⁷+2y⁶+y⁵+4y⁴-4y²+1,x²-x-y+1)
28.4: i: 731277643058059239156679881549661: res_y(y¹⁴-3y¹³+6y¹²-11y¹¹+16y¹⁰-20y⁹+23y⁸-23y⁷+20y⁶-17y⁵+12y⁴-8y³+4y²-2y+1,x²+x-y+1)
28.6: i: -27285880065980294660266071926117387: res_y(y¹⁴+13y¹³+76y¹²+261y¹¹+574y¹⁰+816y⁹+687y⁸+185y⁷-274y⁶-343y⁵-140y⁴+22y³+42y²+12y+1,x²-x-y)
28.8: i: 85488507795008896063798242261533161: res_y(y¹⁴-7y¹²-6y¹¹+18y¹⁰+49y⁹-41y⁸-110y⁷+52y⁶+110y⁵-27y⁴-49y³+4y²+6y-1,(x²-x-1)y-1)
28.10: i: -6356101128216652327390958788886856959: res_y(y¹⁴-2y¹³-53y¹²+335y¹¹-752y¹⁰+347y⁹+1626y⁸-3809y⁷+4182y⁶-2835y⁵+1297y⁴-418y³+95y²-14y+1,x²+xy+1)
28.12: i: 6724563716656313117617735658244278801: res_y(y¹⁴-2y¹³-12y¹²+12y¹¹+53y¹⁰-25y⁹-107y⁸+23y⁷+104y⁶-11y⁵-49y⁴+2y³+11y²-1,(x²-x-1)y+1)
28.16: i: 6173245216161145680775853888544774677941: res_y(y¹⁴-11y¹³+43y¹²-53y¹¹-81y¹⁰+251y⁹-40y⁸-354y⁷+172y⁶+236y⁵-119y⁴-81y³+24y²+12y+1,x²+x-y)
28.20: i: 257525532709394083792076584867421801960869: res_y(y¹⁴+y¹³-12y¹²-11y¹¹+55y¹⁰+46y⁹-120y⁸-91y⁷+125y⁶+86y⁵-52y⁴-34y³+3y²+3y+1,(x²-x-1)y-1)

30.0: i: -21869526358580701036128190699466951: res_y(y¹⁵+3y¹⁴-8y¹³-28y¹²+24y¹¹+103y¹⁰-35y⁹-189y⁸+32y⁷+180y⁶-28y⁵-83y⁴+18y³+14y²-4y-1,x²+xy+1)
30.2: i: 42853137288476971481428614880384201: res_y(y¹⁵+y¹⁴-13y¹³-12y¹²+68y¹¹+57y¹⁰-183y⁹-135y⁸+269y⁷+164y⁶-212y⁵-93y⁴+82y³+18y²-12y+1,x²+xy+1)
30.4: i: -1305515761553189385520859424585974519: res_y(y¹⁵-10y¹⁴+35y¹³-34y¹²-79y¹¹+195y¹⁰-20y⁹-272y⁸+158y⁷+153y⁶-131y⁵-34y⁴+40y³+2y²-4y+1,x²+xy+1)
30.6: i: 11260458366872966045586009812179940113: res_y(y¹⁵-11y¹⁴+41y¹³-15y¹²-331y¹¹+994y¹⁰-835y⁹-1470y⁸+4709y⁷-5843y⁶+4218y⁵-1952y⁴+602y³-124y²+16y-1,x²+xy+1)
30.8: i: -515584148385453483936313858153425911563: res_y(y¹⁵-15y¹⁴+113y¹³-551y¹²+1827y¹¹-4053y¹⁰+5658y⁹-4070y⁸-331y⁷+3343y⁶-2723y⁵+844y⁴+11y³-69y²+15y-1,x²-x+y)
30.10: i: 3420313857095409773627892936426657659281: res_y(y¹⁵-14y¹⁴+78y¹³-207y¹²+199y¹¹+232y¹⁰-655y⁹+179y⁸+615y⁷-357y⁶-292y⁵+179y⁴+84y³-30y²-12y-1,x²+xy+1)

32.0: i: 6433212827952969330605324687313585769: res_y(y¹⁶+3y¹⁵-9y¹⁴-31y¹³+32y¹²+132y¹¹-56y¹⁰-297y⁹+47y⁸+375y⁷-11y⁶-258y⁵-8y⁴+84y³+4y²-8y+1,x²+xy+1)
32.2: i: -253020852401144453476677514790390875439: res_y(y¹⁶-4y¹⁵-4y¹⁴+30y¹³-93y¹¹+20y¹⁰+152y⁹-31y⁸-135y⁷+14y⁶+58y⁵-8y³-1,x²+xy+1)
32.4: i: 466190950302947822847621954878202984769: res_y(y¹⁶-11y¹⁵+43y¹⁴-50y¹³-106y¹²+316y¹¹-50y¹⁰-549y⁹+356y⁸+427y⁷-373y⁶-157y⁵+141y⁴+24y³-12y²+1,x²+xy+1)
32.6: i: -38334431343651371351882178955314259296256: res_y(res_x(x⁸+2x⁷+5x⁶+4x⁵-3x⁴-12x³-13x²-6x-1,y²+yx-1),z²+z+y-1)
32.8: i: 199620256088427301025642985967051774955977: res_y(y¹⁶-4y¹⁵-12y¹⁴+73y¹³-11y¹²-407y¹¹+513y¹⁰+653y⁹-1547y⁸+33y⁷+1642y⁶-776y⁵-534y⁴+420y³-52y²+8y+1,x²+xy+1)
32.10: i: -1440371731744801000583603906081798259716231: res_y(y¹⁶-12y¹⁵+55y¹⁴-105y¹³+307y¹¹-330y¹⁰-236y⁹+530y⁸-2y⁷-351y⁶+74y⁵+106y⁴-31y³-12y²+4y+1,x²+x-y)
32.12: 110826505720388984870650129881431456675309841: res_y(y¹⁶-13y¹⁵+68y¹⁴-193y¹³+337y¹²-318y¹¹-221y¹⁰+1376y⁹-2135y⁸+1367y⁷+256y⁶-1143y⁵+944y⁴-420y³+110y²-16y+1,x²+xy-1)
32.18: i: -21607690855861111542895174593065667159464083631: res_y(res_x(x⁸-4x⁷-6x⁶-24x⁵-49x⁴-33x³-3x²+4x+1,y²+yx-1),z²+z+y-1)

33.3: i: -221677751601922737558815703039602963731127: res_y(y¹¹-4y¹⁰+5y⁹-2y⁸-2y⁷+7y⁶-6y⁵+3y⁴+y³-3y²+2y-1,(x³-x²+1)y+(-x²+x-1))

34.0: i: -11157960155110895284014357239736310101479: res_y(y¹⁷+3y¹⁶-10y¹⁵-34y¹⁴+39y¹³+158y¹²-72y¹¹-387y¹⁰+52y⁹+534y⁸+25y⁷-410y⁶-69y⁵+160y⁴+42y³-24y²-8y-1,x²+xy+1)
34.2: i: 53254955881361258152829556123708686337577: res_y(y¹⁷+3y¹⁶-11y¹⁵-38y¹⁴+44y¹³+194y¹²-65y¹¹-505y¹⁰-32y⁹+693y⁸+196y⁷-459y⁶-175y⁵+112y⁴+30y³-12y²+1,x²+xy+1)
34.4: i: -4653211853914529583811288843162697083019467: res_y(y¹⁷-9y¹⁶+28y¹⁵-26y¹⁴-33y¹³+74y¹²-31y¹¹-72y¹⁰+531y⁹-1565y⁸+2407y⁷-2268y⁶+1473y⁵-722y⁴+275y³-76y²+13y-1,x²+xy+1)
34.6: i: 27100610696562923164570843650379888800670225: res_y(y¹⁷-2y¹⁶-15y¹⁵+30y¹⁴+89y¹³-176y¹²-271y¹¹+516y¹⁰+465y⁹-803y⁸-467y⁷+646y⁶+271y⁵-240y⁴-78y³+32y²+8y-1,x²+xy+1)
34.10: i: 6976819119114924690728117751765822917505562009: res_y(y¹⁷-13y¹⁶+65y¹⁵-138y¹⁴+14y¹³+458y¹²-612y¹¹-308y¹⁰+1111y⁹-265y⁸-798y⁷+410y⁶+240y⁵-162y⁴-21y³+18y²-1,x²+xy+1)
34.14: i: 106593531400763215090519510113261054779870746121: res_y(y¹⁷-18y¹⁶+145y¹⁵-674y¹⁴+1932y¹³-3312y¹²+2665y¹¹+1004y¹⁰-4060y⁹+2415y⁸+1219y⁷-1798y⁶+254y⁵+317y⁴-70y³-26y²+4y+1,x²+x-y)

36.0: i: 61205151117705585939237268679347280960786377: res_y(y¹⁸+3y¹⁷-10y¹⁶-35y¹⁵+37y¹⁴+166y¹³-57y¹²-413y¹¹+10y¹⁰+579y⁹+80y⁸-453y⁷-103y⁶+180y⁵+51y⁴-27y³-9y²+1,x²+xy+1)
36.2: i: -61255395467586534280102183390996826554956851: res_y(res_x(x⁹+x⁸-10x⁷-17x⁶+8x⁵+51x⁴+60x³+33x²+9x+1,y²+y(x-1)+1),z²+(y-1)z+1)
36.4: i: 5406890384107685308077883913438808700098001393: res_y(res_x(x⁹-6x⁸+17x⁷-37x⁶+64x⁵-72x⁴+51x³-26x²+8x-1,y²-xy+1),z²+z-y+1)
36.6: i: -9278216115453719734207571699621647794559802587: res_y(y¹⁸+10y¹⁷+35y¹⁶+31y¹⁵-102y¹⁴-249y¹³-20y¹²+431y¹¹+287y¹⁰-301y⁹-294y⁸+111y⁷+110y⁶-41y⁵-11y⁴+14y³-y²-y+1,x²+xy+1)
36.8: i: 1193685645381337374777892597915007189104810000384: res_y(y¹⁸-18y¹⁷+121y¹⁶-336y¹⁵-100y¹⁴+3320y¹³-9128y¹²+7872y¹¹+13600y¹⁰-47992y⁹+64883y⁸-49350y⁷+21887y⁶-5590y⁵+1103y⁴-372y³+117y²-18y+1,x²+xy+1)

38.0: i: -34151833523912084668812619117978207685093263631: res_y(y¹⁹+3y¹⁸-12y¹⁷-39y¹⁶+62y¹⁵+215y¹⁴-186y¹³-653y¹²+374y¹¹+1184y¹⁰-545y⁹-1289y⁸+568y⁷+791y⁶-374y⁵-224y⁴+120y³+12y²-8y-1,x²+xy+1)
38.2: i: 389787070544597190551402472840699143242653335161: res_y(y¹⁹+3y¹⁸-12y¹⁷-41y¹⁶+56y¹⁵+234y¹⁴-120y¹³-722y¹²+78y¹¹+1302y¹⁰+150y⁹-1384y⁸-341y⁷+831y⁶+270y⁵-253y⁴-94y³+30y²+12y+1,x²+xy+1)
38.4: i: -21518194979143263515575650048761868687057704791699: res_y(y¹⁹+2y¹⁸-14y¹⁷-27y¹⁶+80y¹⁵+147y¹⁴-242y¹³-417y¹²+422y¹¹+669y¹⁰-434y⁹-623y⁸+262y⁷+336y⁶-88y⁵-102y⁴+15y³+16y²-y-1,x²+xy+1)
38.6: i: 24950780213174378633230915117800527375413904962489: res_y(y¹⁹-10y¹⁸+34y¹⁷-21y¹⁶-139y¹⁵+296y¹⁴+44y¹³-694y¹²+483y¹¹+586y¹⁰-836y⁹-39y⁸+533y⁷-204y⁶-113y⁵+99y⁴-13y³-13y²+6y-1,x²+xy+1)

40.0: i: 2321397522872238414471450612686850554108752298401: res_y(res_x(x¹⁰-10x⁹+43x⁸-103x⁷+148x⁶-127x⁵+59x⁴-7x³-8x²+4x+1,y²+y-x),z²+yz+1)
40.2: i: -198814311768183336609441508721676925804810491359639: res_y(res_x(x¹⁰-9x⁹+33x⁸-62x⁷+58x⁶-13x⁵-21x⁴+13x³+4x²-4x-1,y²+y-x),z²+yz+1)
40.4: i: 5944621432028828963065378026565162686024932738647921: res_y(res_x(x¹⁰-11x⁹+52x⁸-137x⁷+215x⁶-194x⁵+80x⁴+7x³-15x²+2x+1,y²+y-x),z²+yz+1)
40.8: i: 267745374983004418305988272298054896652984776746310001: res_y(y²⁰-19y¹⁹+156y¹⁸-714y¹⁷+1930y¹⁶-2838y¹⁵+983y¹⁴+3809y¹³-5994y¹²+1298y¹¹+4335y¹⁰-3387y⁹-725y⁸+1579y⁷-235y⁶-263y⁵+78y⁴+10y³-4y²+1,x²+xy+1)

42.2: i: 66954425636061062606563275668207467178823263322193321: res_y(y²¹-4y²⁰-10y¹⁹+55y¹⁸+30y¹⁷-322y¹⁶+27y¹⁵+1045y¹⁴-396y¹³-2049y¹²+1105y¹¹+2478y¹⁰-1570y⁹-1805y⁸+1254y⁷+734y⁶-547y⁵-140y⁴+114y³+8y²-8y-1,x²+xy+1)

44.0: i: 27233142200262920005021777595675092928855448912772834081: res_y(res_x(x¹¹-9x¹⁰+35x⁹-77x⁸+103x⁷-77x⁶+10x⁵+38x⁴-29x³-x²+6x+1,y²+y-x),z²+yz+1)
44.2: i: -1779774872595145219893170737930008096626919136308729302587: res_y(res_x(x¹¹-9x¹⁰+38x⁹-109x⁸+232x⁷-371x⁶+425x⁵-339x⁴+182x³-62x²+12x-1,y²-xy-1),z²+(y-1)z+1)

48.0: i: 38763924428183747899069217305943420648802842736512137377363649: res_y(res_x(x¹²-2x¹¹+4x⁹-3x⁸-3x⁷+7x⁶-4x⁵-x⁴+2x³+x²-2x+1,(y²-2y)x-y²+y+1),z²+yz+1)

degré : 2,3,4, 5,6,7, 8,9,10, 11,12,13, 14,15,16, 17,18,19, 20,21,22, 23,24,25, 26,27,28, 30,32,33, 34,36,38, 40,42,44, 48.