Number field search results

Results (1-50 of 245 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
26.2.287...125.1	x^26 - 2x^25 - 4x^24 + 16x^23 - 11x^22 - 29x^21 + 88x^20 - 189x^19 + 510x^18 - 655x^17 + 132x^16 - 179x^15 + 449x^14 + 1090x^13 + 114x^12 - 781x^11 - 543x^10 - 58x^9 + 245x^8 + 173x^7 + 196x^6 + 159x^5 + 34x^4 - 4x^3 + 6x^2 - 6x - 1	$26$	[2,12]	$5^{13}\cdot 191^{12}$	$2$	$25.250479705462247$			not computed	$D_{26}$ (as 26T3)	trivial	$2$	$13$	$62790605.5500462$
26.2.624...401.1	x^26 - x - 1	$26$	[2,12]	$73\cdot 181\cdot 2385857\cdot 32375941061\cdot 6118709648547401$	$5$	$26.014328429$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$117671984.44253884$
26.0.549...875.1	x^26 - 2x^25 + 5x^24 - 26x^23 + 53x^22 - 54x^21 + 268x^20 - 237x^19 + 744x^18 + 440x^17 + 1338x^16 - 3330x^15 - 8756x^14 + 7284x^13 + 63381x^12 + 167449x^11 + 262693x^10 + 320455x^9 + 419505x^8 + 480606x^7 + 569660x^6 + 459537x^5 + 397335x^4 + 258066x^3 + 85342x^2 + 34263x + 39371	$26$	[0,13]	$-\,5^{13}\cdot 191^{13}$	$2$	$30.903074280724887$			not computed	$D_{26}$ (as 26T3)	$[4]$	$2$	$12$	$130484336.16997853$
26.2.129...328.1	x^26 - 8x^24 + 24x^22 - 16x^20 + 176x^18 - 608x^16 + 320x^14 + 3712x^12 + 1280x^10 - 17408x^8 + 22528x^6 + 98304x^4 + 65536x^2 - 8192	$26$	[2,12]	$2^{39}\cdot 191^{12}$	$2$	$31.93961115244732$			not computed	$D_{26}$ (as 26T3)	trivial	$2$	$13$	$1293801547.1375248$
26.0.115...543.1	x^26 - x^25 + 11x^24 - 20x^23 + 107x^22 - 382x^21 + 1248x^20 - 3197x^19 + 6521x^18 - 10581x^17 + 13912x^16 - 15385x^15 + 14827x^14 - 15025x^13 + 15241x^12 - 12717x^11 + 9243x^10 - 4542x^9 - 233x^8 + 4189x^7 - 7810x^6 + 6629x^5 - 1342x^4 - 1780x^3 + 1964x^2 - 1216x + 361	$26$	[0,13]	$-\,23^{13}\cdot 73^{12}$	$2$	$34.742341447639475$			not computed	$D_{26}$ (as 26T3)	$[3]$	$2$	$12$	$1140159040.1752596$
26.0.252...496.1	x^26 - 2x^13 + 2	$26$	[0,13]	$-\,2^{38}\cdot 13^{26}$	$2$	$35.8022457311$			✓	$C_2\times F_{13}$ (as 26T10)	trivial	$4$	$12$	$19943633307.82794$
26.2.602...128.1	x^26 - 12x^24 + 44x^22 - 24x^20 - 272x^18 + 1312x^16 - 1408x^14 - 3328x^12 + 30208x^10 - 19456x^8 + 46080x^6 + 204800x^4 + 131072x^2 - 8192	$26$	[2,12]	$2^{39}\cdot 263^{12}$	$2$	$37.02095746661013$				$D_{26}$ (as 26T3)	trivial	$2$	$13$	$12785934187.300812$
26.0.777...987.1	x^26 - 3x^13 + 3	$26$	[0,13]	$-\,3^{25}\cdot 13^{26}$	$2$	$37.3864121659$			✓	$C_2\times F_{13}$ (as 26T10)	trivial	$6$	$12$	$43085229111.75138$
26.2.252...432.1	x^26 - 12x^24 + 54x^22 - 54x^20 + 891x^18 - 4617x^16 + 3645x^14 + 63423x^12 + 32805x^10 - 669222x^8 + 1299078x^6 + 8503056x^4 + 8503056x^2 - 1594323	$26$	[2,12]	$2^{26}\cdot 3^{13}\cdot 191^{12}$	$3$	$39.11787495320146$			not computed	$D_{26}$ (as 26T3)	not computed	$2$	$13$	$$
26.2.713...893.1	x^26 - x^25 - 37x^24 + 36x^23 + 656x^22 - 602x^21 - 7532x^20 + 5987x^19 + 63242x^18 - 39168x^17 - 407978x^16 + 177750x^15 + 2044391x^14 - 593805x^13 - 7863783x^12 + 1620832x^11 + 22802242x^10 - 3804296x^9 - 48757198x^8 + 7281003x^7 + 74301119x^6 - 12442481x^5 - 74591007x^4 + 16397553x^3 + 41639217x^2 - 9412671x - 11716513	$26$	[2,12]	$13^{13}\cdot 191^{12}$	$2$	$40.71517513072366$			not computed	$D_{26}$ (as 26T3)	not computed	$2$	$13$	$$
26.2.955...125.1	x^26 - 4x^25 - x^24 + 12x^23 - 20x^22 - 91x^21 + 245x^20 + 945x^19 + 237x^18 - 2538x^17 - 3465x^16 + 4625x^15 + 16764x^14 + 17173x^13 + 6911x^12 - 948x^11 + 1857x^10 + 6384x^9 + 2100x^8 - 1050x^7 + 280x^6 + 490x^5 - 352x^4 - 172x^3 - 11x^2 + 8x - 1	$26$	[2,12]	$5^{13}\cdot 19^{12}\cdot 29^{12}$	$3$	$41.17483750765216$			not computed	$D_{26}$ (as 26T3)	trivial	$2$	$13$	$74302156406.7933$
26.0.120...736.1	x^26 - 4x + 4	$26$	[0,13]	$-\,2^{26}\cdot 11\cdot 5351\cdot 322710411593\cdot 942553212724915163$	$5$	$41.5385196003$			not computed	$S_{26}$ (as 26T96)	trivial	$2$	$12$	$80495462904.86972$
26.0.167...007.1	x^26 - 8x^25 + 22x^24 - 43x^23 + 115x^22 - 151x^21 + 220x^20 - 577x^19 + 509x^18 - 1015x^17 + 1547x^16 - 884x^15 + 2815x^14 - 3027x^13 + 2341x^12 - 3581x^11 + 6893x^10 + 2193x^9 + 12186x^8 - 1094x^7 + 906x^6 - 2074x^5 + 14041x^4 + 14998x^3 + 13037x^2 + 4230x + 1325	$26$	[0,13]	$-\,7^{13}\cdot 401^{12}$	$2$	$42.07268888922606$				$D_{26}$ (as 26T3)	trivial	$2$	$12$	$193328971319.57028$
26.0.463...123.1	x^26 - 9x^24 - 20x^23 - 12x^22 + 186x^21 + 794x^20 - 27x^19 - 4404x^18 - 5528x^17 + 1038x^16 + 13671x^15 + 59660x^14 + 64299x^13 - 161565x^12 - 318218x^11 + 37881x^10 + 189642x^9 - 55703x^8 + 873384x^7 + 1978515x^6 - 188640x^5 - 4211379x^4 - 4130865x^3 + 1301535x^2 + 4678236x + 2259171	$26$	[0,13]	$-\,3^{13}\cdot 1093^{12}$	$2$	$43.752281248263614$				$D_{26}$ (as 26T3)	trivial	$6$	$12$	$16355807538960.088$
26.2.486...125.1	x^26 - 4x^25 + 20x^24 - 36x^23 + 151x^22 - 166x^21 + 575x^20 - 1143x^19 + 1160x^18 - 4286x^17 + 2641x^16 - 4158x^15 + 10417x^14 + 3815x^13 + 21287x^12 + 17505x^11 + 19313x^10 + 20293x^9 + 10822x^8 + 10971x^7 + 6883x^6 + 3740x^5 + 2969x^4 + 837x^3 + 388x^2 + 17x - 1	$26$	[2,12]	$5^{13}\cdot 631^{12}$	$2$	$43.833509637163175$				$D_{26}$ (as 26T3)	trivial	$2$	$13$	$305647208281.4963$
26.2.596...009.1	x^26 - 4x - 1	$26$	[2,12]	$29\cdot 10128571112394569\cdot 20292423834064993115883509$	$3$	$44.1776978886$			not computed	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$168756466576.10596$
26.2.596...776.1	x^26 - 2x - 1	$26$	[2,12]	$2^{27}\cdot 7417\cdot 22861\cdot 53970181\cdot 4852810050936915961$	$5$	$44.1776996435$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$172533350216.54126$
26.2.117...632.1	x^26 - 18x^24 + 99x^22 - 81x^20 - 1377x^18 + 9963x^16 - 16038x^14 - 56862x^12 + 774198x^10 - 747954x^8 + 2657205x^6 + 17714700x^4 + 17006112x^2 - 1594323	$26$	[2,12]	$2^{26}\cdot 3^{13}\cdot 263^{12}$	$3$	$45.34122779123691$				$D_{26}$ (as 26T3)	not computed	$2$	$13$	$$
26.26.127...693.1	x^26 - x^25 - 25x^24 + 24x^23 + 276x^22 - 253x^21 - 1771x^20 + 1540x^19 + 7315x^18 - 5985x^17 - 20349x^16 + 15504x^15 + 38760x^14 - 27132x^13 - 50388x^12 + 31824x^11 + 43758x^10 - 24310x^9 - 24310x^8 + 11440x^7 + 8008x^6 - 3003x^5 - 1365x^4 + 364x^3 + 91x^2 - 13x - 1	$26$	[26,0]	$53^{25}$	$1$	$45.4943607364$		✓	✓	$C_{26}$ (as 26T1)	trivial	$2$	$25$	$14915851505236.459$
26.2.144...125.1	x^26 - 3x^25 + 8x^24 - 23x^23 - 44x^22 + 17x^21 + 450x^20 - 860x^19 + 3401x^18 + 4044x^17 - 12200x^16 - 9996x^15 + 5376x^14 - 176112x^13 - 67837x^12 - 1501x^11 - 261354x^10 - 143521x^9 - 1171x^8 - 152170x^7 - 30780x^6 - 39875x^5 - 16350x^4 - 26625x^3 - 13000x^2 - 6875x - 3125	$26$	[2,12]	$5^{13}\cdot 691^{12}$	$2$	$45.710222126386626$				$D_{26}$ (as 26T3)	trivial	$2$	$13$	$2016100861553.7466$
26.2.233...497.1	x^26 - x^25 - 50x^24 + 48x^23 + 1188x^22 - 1066x^21 - 17960x^20 + 14231x^19 + 194023x^18 - 126696x^17 - 1579415x^16 + 794998x^15 + 9883811x^14 - 3670079x^13 - 47524550x^12 + 13070104x^11 + 173418938x^10 - 37145018x^9 - 469905596x^8 + 84248201x^7 + 912345834x^6 - 152992905x^5 - 1188256605x^4 + 203114817x^3 + 913828487x^2 - 132782216x - 329129521	$26$	[2,12]	$17^{13}\cdot 191^{12}$	$2$	$46.5595840424962$			not computed	$D_{26}$ (as 26T3)	not computed	$2$	$13$	$$
26.2.331...693.1	x^26 - x^25 - 45x^24 + 44x^23 + 912x^22 - 836x^21 - 11055x^20 + 9149x^19 + 89968x^18 - 63863x^17 - 520434x^16 + 297998x^15 + 2198217x^14 - 952653x^13 - 6808591x^12 + 2140242x^11 + 15236220x^10 - 3364016x^9 - 23680109x^8 + 2956997x^7 + 23956149x^6 - 618594x^5 - 14015975x^4 - 2419867x^3 + 3438259x^2 + 3561247x - 1990843	$26$	[2,12]	$13^{13}\cdot 263^{12}$	$2$	$47.19264613353339$				$D_{26}$ (as 26T3)	not computed	$2$	$13$	$$
26.0.105...671.1	x^26 - 4x^25 + 29x^24 - 114x^23 + 437x^22 - 1233x^21 + 3738x^20 - 6943x^19 + 17106x^18 - 22984x^17 + 59870x^16 - 97147x^15 + 263098x^14 - 450753x^13 + 813670x^12 - 1048444x^11 + 1103470x^10 - 985605x^9 + 369592x^8 - 235197x^7 - 276734x^6 + 186178x^5 - 88862x^4 + 240404x^3 + 178609x^2 + 96160x + 61675	$26$	[0,13]	$-\,31^{13}\cdot 113^{12}$	$2$	$49.346404357107986$				$D_{26}$ (as 26T3)	$[3]$	$2$	$12$	$195886918009.72314$
26.2.109...616.1	x^26 - 4x - 4	$26$	[2,12]	$2^{26}\cdot 6733\cdot 11138847809333\cdot 21705255151207321321$	$4$	$49.4065321547$			not computed	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$984173527164.3383$
26.0.200...232.1	x^26 - 2x + 2	$26$	[0,13]	$-\,2^{26}\cdot 471266581969\cdot 6342995795806711798279927$	$3$	$50.5750348368$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$12$	$906347594418.0435$
26.0.206...607.1	x^26 - x + 2	$26$	[0,13]	$-\,31\cdot 2143\cdot 2713\cdot 7727\cdot 758671\cdot 195505457062666900180454399$	$6$	$50.6320214754$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$12$	$1050708933134.0826$
26.0.206...232.1	x^26 + 2	$26$	[0,13]	$-\,2^{51}\cdot 13^{26}$	$2$	$50.6320214763$			✓	$C_2\times F_{13}$ (as 26T10)	trivial	$2$	$12$	$1735637148211.4587$
26.2.206...232.1	x^26 - 2	$26$	[2,12]	$2^{51}\cdot 13^{26}$	$2$	$50.6320214763$			✓	$C_2\times F_{13}$ (as 26T10)	trivial	$2$	$13$	$1119664136073.1033$
26.2.212...232.1	x^26 - 2x - 2	$26$	[2,12]	$2^{26}\cdot 3\cdot 67\cdot 107\cdot 5867\cdot 10536636742939\cdot 2381953897662043$	$7$	$50.6874484196$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$1482708296476.7107$
26.0.526...875.1	x^26 - 8x^25 + 14x^24 + 18x^23 - 92x^22 + 514x^21 - 1212x^20 - 596x^19 + 954x^18 - 2053x^17 + 29744x^16 - 4491x^15 + 71256x^14 - 216720x^13 - 344608x^12 + 50717x^11 + 1942970x^10 + 2307612x^9 + 264538x^8 - 5680405x^7 - 6094469x^6 - 2337568x^5 + 3586683x^4 + 5626157x^3 + 5313221x^2 + 843733x + 496261	$26$	[0,13]	$-\,5^{13}\cdot 19^{13}\cdot 29^{13}$	$3$	$52.48809388804284$			not computed	$D_{26}$ (as 26T3)	$[2, 4]$	$2$	$12$	$154406339448.51657$
26.0.199...875.1	x^26 - 6x^25 + 34x^24 - 149x^23 + 724x^22 - 3027x^21 + 10234x^20 - 26698x^19 + 56427x^18 - 101122x^17 + 164719x^16 - 254230x^15 + 377196x^14 - 535703x^13 + 716143x^12 - 954928x^11 + 1568217x^10 - 3148667x^9 + 5745440x^8 - 8171380x^7 + 9122775x^6 - 8433000x^5 + 7096875x^4 - 5099875x^3 + 3012500x^2 - 717500x + 153125	$26$	[0,13]	$-\,5^{12}\cdot 691^{13}$	$2$	$55.25105360171537$				$D_{26}$ (as 26T3)	$[5]$	$2$	$12$	$4189632832285.5117$
26.0.308...216.1	x^26 + 6x^24 + 189x^22 + 2700x^20 + 22032x^18 + 262683x^16 + 3276126x^14 + 20111652x^12 + 46005732x^10 - 38618046x^8 - 195511239x^6 - 5668704x^4 + 416649744x^2 + 419306949	$26$	[0,13]	$-\,2^{26}\cdot 3^{13}\cdot 263^{13}$	$3$	$56.178287620752556$				$D_{26}$ (as 26T3)	not computed	$2$	$12$	$$
26.0.445...927.1	x^26 - 2x^25 + 17x^24 - 98x^23 + 152x^22 - 696x^21 + 1597x^20 + 1896x^19 + 20067x^18 + 156392x^17 + 357813x^16 - 241572x^15 - 6441785x^14 - 21049242x^13 - 6337440x^12 + 144534568x^11 + 455484358x^10 + 307770160x^9 - 848362260x^8 - 452511774x^7 + 6860115833x^6 + 21793527372x^5 + 15854969370x^4 - 22167126630x^3 - 34371344111x^2 - 12604846614x + 29070259637	$26$	[0,13]	$-\,17^{13}\cdot 191^{13}$	$2$	$56.9824534396335$			not computed	$D_{26}$ (as 26T3)	not computed	$2$	$12$	$$
26.2.273...125.1	x^26 - 5	$26$	[2,12]	$5^{25}\cdot 13^{26}$	$2$	$61.0984080937$			not computed	$C_2\times F_{13}$ (as 26T10)	trivial	$2$	$13$	$9612138497230.408$
26.2.225...849.1	x^26 - 3x + 1	$26$	[2,12]	$17\cdot 47\cdot 457\cdot 58031\cdot 959677\cdot 10678056923\cdot 1039710637886321095943$	$7$	$66.2665468328$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$32189616171752.71$
26.2.225...401.1	x^26 - 3x - 1	$26$	[2,12]	$97\cdot 1027188157\cdot 761641463933293\cdot 2974955834015001526633$	$4$	$66.2665468329$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$61866206311105.24$
26.2.225...857.1	x^26 - 3x - 2	$26$	[2,12]	$22739663746473685987\cdot 9937244678052017295688440011$	$2$	$66.2688777891$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$71305060830185.08$
26.0.275...999.1	x^26 - x^25 + 2x^24 + 48x^23 - 41x^22 + 75x^21 + 827x^20 - 597x^19 + 990x^18 + 6414x^17 - 3755x^16 + 5397x^15 + 23537x^14 - 10353x^13 + 15676x^12 + 35758x^11 - 6997x^10 + 39165x^9 + 14468x^8 + 8338x^7 + 43270x^6 - 25107x^5 + 25775x^4 - 10788x^3 - 8746x^2 + 10048x + 4289	$26$	[0,13]	$-\,79^{25}$	$1$	$66.7792341258$	✓	✓		$C_{26}$ (as 26T1)	$[265]$	$2$	$12$	$57529828940.82975$
26.0.384...563.1	x^26 - x^25 + 25x^24 - 14x^23 + 405x^22 - 192x^21 + 3603x^20 - 1111x^19 + 22650x^18 - 5414x^17 + 87624x^16 - 5096x^15 + 234451x^14 - 19756x^13 + 367484x^12 - 30562x^11 + 404986x^10 - 57146x^9 + 232119x^8 - 34742x^7 + 91429x^6 - 16226x^5 + 7319x^4 + 98x^3 + 168x^2 - 10x + 1	$26$	[0,13]	$-\,3^{13}\cdot 53^{24}$	$2$	$67.6394225992$	✓	✓	not computed	$C_{26}$ (as 26T1)	$[53, 53]$	$6$	$12$	$5382739421.971964$
26.2.330...944.1	x^26 - 4x + 1	$26$	[2,12]	$2^{26}\cdot 3\cdot 149\cdot 977\cdot 3541\cdot 12747387209041\cdot 2498880811540538989$	$7$	$73.4726910711$			not computed	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$149569312316316.25$
26.0.499...143.1	x^26 - 3x + 3	$26$	[0,13]	$-\,3^{25}\cdot 37\cdot 193\cdot 397\cdot 3673\cdot 565614067938252407382930781$	$6$	$74.6456825982$			✓	$S_{26}$ (as 26T96)	$[2]$	$2$	$12$	$62788452030563.16$
26.0.521...768.1	x^26 - 2x + 3	$26$	[0,13]	$-\,2^{27}\cdot 47\cdot 349\cdot 1395923\cdot 415496197\cdot 4084851144240798246517$	$6$	$74.7728210455$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$12$	$228191453653879.84$
26.0.521...143.1	x^26 - x + 3	$26$	[0,13]	$-\,59\cdot 71\cdot 33563\cdot 396349\cdot 15944389\cdot 1472102329\cdot 3987894255883125121$	$7$	$74.7728243318$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$12$	$218241269970487.8$
26.2.521...768.1	x^26 - 3	$26$	[2,12]	$2^{26}\cdot 3^{25}\cdot 13^{26}$	$3$	$74.7728243318$			✓	$C_2\times F_{13}$ (as 26T10)	trivial	$2$	$13$	$228316605135874.6$
26.2.521...393.1	x^26 - x - 3	$26$	[2,12]	$2083\cdot 1519447\cdot 16\!\cdots\!93$	$3$	$74.7728243318$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$221401864429738.72$
26.2.544...393.1	x^26 - 3x - 3	$26$	[2,12]	$3^{25}\cdot 19\cdot 9619\cdot 306629767564201\cdot 114607019135083291$	$5$	$74.8947809299$			✓	$S_{26}$ (as 26T96)	trivial	$2$	$13$	$326818418751639.6$
26.0.161...184.1	x^26 + 49x^24 + 994x^22 + 10915x^20 + 71324x^18 + 287620x^16 + 721007x^14 + 1111118x^12 + 1019820x^10 + 521449x^8 + 129173x^6 + 10874x^4 + 236x^2 + 1	$26$	[0,13]	$-\,2^{26}\cdot 53^{24}$	$2$	$78.1032776909$	✓	✓	not computed	$C_{26}$ (as 26T1)	$[14209]$	$4$	$12$	$5382739421.971964$
26.0.203...839.1	x^26 - x^25 + 28x^24 - 29x^23 + 276x^22 - 306x^21 + 1038x^20 - 1375x^19 + 54x^18 - 1586x^17 - 8106x^16 - 449x^15 - 5336x^14 - 49021x^13 + 97058x^12 - 111859x^11 + 338650x^10 + 82909x^9 + 16023x^8 + 521830x^7 - 124280x^6 - 1299383x^5 + 3115247x^4 - 2524927x^3 + 1035234x^2 + 2787416x + 1009861	$26$	[0,13]	$-\,3^{13}\cdot 53^{25}$	$2$	$78.7985442532$	✓	✓		$C_{26}$ (as 26T1)	$[32510]$	$2$	$12$	$5382739421.971964$
26.2.214...688.1	x^26 - 13x^25 + 121x^24 - 802x^23 + 4651x^22 - 22825x^21 + 98893x^20 - 371962x^19 + 1240872x^18 - 3661594x^17 + 9598744x^16 - 22249906x^15 + 46158003x^14 - 86354433x^13 + 145428273x^12 - 217463318x^11 + 270662252x^10 - 252429562x^9 + 127602004x^8 + 63980066x^7 - 189163921x^6 + 167659735x^5 - 112782103x^4 + 89161818x^3 - 55238589x^2 + 18143595x - 204972201	$26$	[2,12]	$2^{24}\cdot 53^{25}$	$2$	$86.26436088675523$				$D_{26}$ (as 26T3)	$[13]$	$2$	$13$	$1441989777359363.2$
26.26.294...125.1	x^26 - 11x^25 - 7x^24 + 468x^23 - 1046x^22 - 6960x^21 + 26796x^20 + 40357x^19 - 278503x^18 + 355x^17 + 1499785x^16 - 1077692x^15 - 4479644x^14 + 5284410x^13 + 7470556x^12 - 11963101x^11 - 6678940x^10 + 14762504x^9 + 2744933x^8 - 10366844x^7 - 29320x^6 + 4079010x^5 - 378384x^4 - 821546x^3 + 120702x^2 + 64121x - 11789	$26$	[26,0]	$5^{13}\cdot 53^{24}$	$2$	$87.3221190912$		✓	not computed	$C_{26}$ (as 26T1)	trivial	$2$	$25$	$53967208334298856$