Global number field search results

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Degree	Signature	Galois group	Class number	Class group
Regulator	Num. ramified primes	Ramified primes		Unramified primes
CM field	Discriminant		Root discriminant

Results (displaying matches 1-50 of 491)

Label	Polynomial	Discriminant	Galois group	Class group
28.0.503553375386417026489977159144851919778199649.1	x^28 - x^27 + 14x^26 - 11x^25 + 115x^24 - 79x^23 + 617x^22 - 353x^21 + 2421x^20 - 1188x^19 + 7015x^18 - 2803x^17 + 15415x^16 - 5107x^15 + 25195x^14 - 6334x^13 + 30532x^12 - 6088x^11 + 26057x^10 - 3239x^9 + 15207x^8 - 1590x^7 + 5362x^6 - 70x^5 + 1050x^4 - 84x^3 + 77x^2 + 7x + 1	\( 3^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 4, 12]$ (GRH)
28.0.28261019450929335045240957686456444760176459776.1	x^28 + 27x^26 + 325x^24 + 2300x^22 + 10626x^20 + 33649x^18 + 74613x^16 + 116280x^14 + 125970x^12 + 92378x^10 + 43758x^8 + 12376x^6 + 1820x^4 + 105x^2 + 1	\( 2^{28}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 4, 84]$ (GRH)
28.28.642581186433047492874742549394260203375244140625.1	x^28 - x^27 - 40x^26 + 35x^25 + 667x^24 - 497x^23 - 6073x^22 + 3733x^21 + 33381x^20 - 16356x^19 - 116335x^18 + 43955x^17 + 264151x^16 - 74631x^15 - 396001x^14 + 80966x^13 + 391804x^12 - 55684x^11 - 251669x^10 + 23519x^9 + 101079x^8 - 5634x^7 - 23674x^6 + 574x^5 + 2842x^4 + 28x^3 - 133x^2 - 7x + 1	\( 5^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2]$ (GRH)
28.0.8602002546566250227508255640254075178338897178281.1	x^28 - 56x^25 - 7x^24 - 14x^23 + 1162x^22 + 286x^21 + 539x^20 - 11074x^19 - 4074x^18 - 6433x^17 + 48363x^16 + 27475x^15 + 29189x^14 - 79527x^13 - 90503x^12 - 49217x^11 + 5593x^10 + 93345x^9 + 89726x^8 + 166311x^7 + 114709x^6 + 86730x^5 + 11690x^4 - 17626x^3 + 25221x^2 - 9401x + 6241	\( 3^{14}\cdot 7^{50} \)	$C_2\times C_{14}$ (as 28T2)	$[203]$ (GRH)
28.0.14121388821225670988853483488774192350843817726481.1	x^28 - x^27 - x^26 - 50x^25 + 45x^24 + 41x^23 + 923x^22 - 740x^21 - 566x^20 - 7986x^19 + 5482x^18 + 3755x^17 + 34135x^16 - 15421x^15 - 15266x^14 - 71623x^13 - 3964x^12 + 45122x^11 + 87041x^10 + 49398x^9 - 13057x^8 - 105029x^7 - 52559x^6 - 58937x^5 + 57132x^4 + 53384x^3 + 9659x^2 + 13272x + 6241	\( 3^{14}\cdot 43^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[203]$ (GRH)
28.0.71403665296191917297019015087709113341743884283129.1	x^28 - x^27 + 41x^26 - 34x^25 + 814x^24 - 569x^23 + 10073x^22 - 5894x^21 + 85446x^20 - 41430x^19 + 517766x^18 - 204124x^17 + 2278084x^16 - 713493x^15 + 7270037x^14 - 1746022x^13 + 16581844x^12 - 2930752x^11 + 26206720x^10 - 3163168x^9 + 27305280x^8 - 2133504x^7 + 17228288x^6 - 594944x^5 + 5748736x^4 - 229376x^3 + 745472x^2 + 57344x + 16384	\( 7^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 4, 4, 812]$ (GRH)
28.0.160727205638753900965518547139872645824181262352384.1	x^28 - 25x^26 + 411x^24 - 3816x^22 + 25427x^20 - 105124x^18 + 315729x^16 - 623516x^14 + 888182x^12 - 737996x^10 + 406547x^8 - 33970x^6 + 2123x^4 - 53x^2 + 1	\( 2^{28}\cdot 3^{14}\cdot 29^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 4, 28]$ (GRH)
28.28.463028542684026225381227850734902390950731116969984.1	x^28 - 54x^26 + 1300x^24 - 18400x^22 + 170016x^20 - 1076768x^18 + 4775232x^16 - 14883840x^14 + 32248320x^12 - 47297536x^10 + 44808192x^8 - 25346048x^6 + 7454720x^4 - 860160x^2 + 16384	\( 2^{42}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	Trivial (GRH)
28.0.463028542684026225381227850734902390950731116969984.1	x^28 + 54x^26 + 1300x^24 + 18400x^22 + 170016x^20 + 1076768x^18 + 4775232x^16 + 14883840x^14 + 32248320x^12 + 47297536x^10 + 44808192x^8 + 25346048x^6 + 7454720x^4 + 860160x^2 + 16384	\( 2^{42}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 172, 172]$ (GRH)
28.0.482771783823117526797953812068649122826362283884544.1	x^28 + 14x^24 + 406x^22 + 637x^20 + 1736x^18 + 25613x^16 + 45672x^14 + 146510x^12 + 216314x^10 + 175987x^8 + 135485x^6 + 138712x^4 + 36281x^2 + 6241	\( 2^{28}\cdot 7^{50} \)	$C_2\times C_{14}$ (as 28T2)	$[71]$ (GRH)
28.0.792537323068373529244880273632877655015215903801344.1	x^28 - 3x^26 + 18x^24 + 304x^22 - 431x^20 + 627x^18 + 12915x^16 - 6007x^14 + 76379x^12 - 24573x^10 + 152173x^8 - 11756x^6 + 110547x^4 - 8906x^2 + 6241	\( 2^{28}\cdot 43^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[43]$ (GRH)
28.0.3654513548980364725264702136425345220781793212890625.1	x^28 - 5x^27 + 47x^26 - 152x^25 + 1049x^24 - 3001x^23 + 14492x^22 - 30908x^21 + 115818x^20 - 204097x^19 + 649914x^18 - 933216x^17 + 2508376x^16 - 2978786x^15 + 7071411x^14 - 6804920x^13 + 13577493x^12 - 10099944x^11 + 17701828x^10 - 9450995x^9 + 11808392x^8 - 1974799x^7 + 3396106x^6 - 287718x^5 + 726277x^4 + 16080x^3 + 60245x^2 - 6888x + 1681	\( 3^{14}\cdot 5^{14}\cdot 29^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 4, 452]$ (GRH)
28.0.9020522762586308771279473372699929575905800975548416.1	x^28 + 197x^24 + 9834x^20 + 111451x^16 + 395946x^12 + 345566x^8 + 1437x^4 + 1	\( 2^{56}\cdot 29^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 4, 1204]$ (GRH)
28.0.10976959488814771402711672000547176203926080322265625.1	x^28 - 112x^25 + 49x^24 + 154x^23 + 2618x^22 - 2414x^21 - 3381x^20 + 6370x^19 + 38654x^18 - 78533x^17 - 109165x^16 + 382109x^15 - 209631x^14 - 564725x^13 + 940065x^12 + 282121x^11 - 787227x^10 + 598339x^9 + 1045310x^8 - 124511x^7 - 202517x^6 + 343196x^5 + 333200x^4 + 51912x^3 - 47341x^2 - 9401x + 6241	\( 5^{14}\cdot 7^{50} \)	$C_2\times C_{14}$ (as 28T2)	$[127]$ (GRH)
28.0.18020212407199631553450678294049740884820855712890625.1	x^28 - x^27 + 5x^26 + 98x^25 - 43x^24 + 277x^23 + 2085x^22 - 152x^21 + 2790x^20 + 2322x^19 + 38446x^18 - 13267x^17 + 7013x^16 - 52161x^15 + 217434x^14 - 199373x^13 - 369218x^12 - 846630x^11 + 173519x^10 + 680690x^9 + 994183x^8 + 128151x^7 - 20587x^6 - 51405x^5 + 189716x^4 + 67288x^3 + 27471x^2 - 13272x + 6241	\( 5^{14}\cdot 43^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[1421]$ (GRH)
28.0.39980252956536233141313409161989698787991996663947761.1	x^28 - 12x^27 + 81x^26 - 388x^25 + 1591x^24 - 5878x^23 + 20190x^22 - 63303x^21 + 186224x^20 - 511845x^19 + 1342595x^18 - 3302776x^17 + 7789506x^16 - 17272242x^15 + 36946487x^14 - 74021368x^13 + 143721798x^12 - 259144734x^11 + 455881295x^10 - 732077019x^9 + 1159745156x^8 - 1624224783x^7 + 2293844933x^6 - 2689454001x^5 + 3335457433x^4 - 2996413671x^3 + 3196869115x^2 - 1711780865x + 1532409301	\( 11^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[16, 16, 3440]$ (GRH)
28.0.135171579942192030712001098144632895138136441638354944.1	x^28 - 29x^26 + 551x^24 - 5916x^22 + 45675x^20 - 232000x^18 + 854369x^16 - 1923396x^14 + 3056194x^12 - 2610464x^10 + 1563419x^8 - 459186x^6 + 96715x^4 - 10933x^2 + 841	\( 2^{28}\cdot 3^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 4, 4, 12]$ (GRH)
28.28.135171579942192030712001098144632895138136441638354944.1	x^28 - 2x^27 - 67x^26 + 128x^25 + 1915x^24 - 3470x^23 - 30502x^22 + 51962x^21 + 296883x^20 - 470232x^19 - 1822856x^18 + 2646496x^17 + 7045255x^16 - 9204326x^15 - 16632140x^14 + 19086334x^13 + 22549873x^12 - 22027400x^11 - 15790909x^10 + 12642698x^9 + 4786431x^8 - 3052488x^7 - 481394x^6 + 260140x^5 + 15255x^4 - 7818x^3 - 67x^2 + 56x + 1	\( 2^{28}\cdot 3^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	Trivial (GRH)
28.0.135171579942192030712001098144632895138136441638354944.2	x^28 - 31x^26 + 354x^24 - 1731x^22 + 2216x^20 + 8564x^18 - 4122x^16 - 121607x^14 + 165323x^12 - 180077x^10 + 1311812x^8 - 3636433x^6 + 15557681x^4 + 4370782x^2 + 2825761	\( 2^{28}\cdot 3^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 4, 4, 84]$ (GRH)
28.0.135171579942192030712001098144632895138136441638354944.3	x^28 - 23x^26 + 170x^24 - 243x^22 - 2160x^20 + 8804x^18 - 13066x^16 - 10755x^14 + 322699x^12 - 596165x^10 + 516968x^8 + 3918063x^6 - 1962803x^4 - 4216942x^2 + 3728761	\( 2^{28}\cdot 3^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 4, 12, 12]$ (GRH)
28.0.205102941494858641164670947835018741350400000000000000.1	x^28 + 69x^26 + 1974x^24 + 30865x^22 + 294090x^20 + 1804843x^18 + 7322517x^16 + 19717109x^14 + 34627149x^12 + 38013350x^10 + 24218096x^8 + 8079074x^6 + 1320817x^4 + 92266x^2 + 1681	\( 2^{28}\cdot 5^{14}\cdot 29^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 28, 812]$ (GRH)
28.0.406089795003640616506784472740838252236679434560990761.1	x^28 - 5x^27 + 26x^26 - 77x^25 + 206x^24 - 307x^23 + 1715x^22 - 5213x^21 + 20952x^20 - 59815x^19 + 74988x^18 + 73977x^17 - 344330x^16 + 1277344x^15 - 1650291x^14 - 1442414x^13 + 1443969x^12 + 177615x^11 + 4348963x^10 - 26399240x^9 + 40409501x^8 + 42898388x^7 - 81474689x^6 - 10418664x^5 + 26652928x^4 + 172023768x^3 - 282222973x^2 - 302462451x + 495997441	\( 3^{14}\cdot 7^{14}\cdot 29^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 4, 28]$ (GRH)
28.28.414528960816105641952550326302235364874378673563986369.1	x^28 - 12x^27 - 3x^26 + 548x^25 - 1373x^24 - 9718x^23 + 40314x^22 + 77013x^21 - 531130x^20 - 118317x^19 + 3851933x^18 - 2566528x^17 - 15762270x^16 + 20897646x^15 + 32941703x^14 - 71317048x^13 - 18213246x^12 + 117667962x^11 - 47279125x^10 - 79028331x^9 + 74956958x^8 + 1350369x^7 - 28078033x^6 + 12053439x^5 + 51715x^4 - 1286775x^3 + 334177x^2 - 26357x - 233	\( 13^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	Trivial (GRH)
28.0.2002407232668075518060451991052904113005433477935650601.1	x^28 - 12x^27 + 97x^26 - 616x^25 + 3227x^24 - 14252x^23 + 54685x^22 - 183020x^21 + 539214x^20 - 1401648x^19 + 3232728x^18 - 6601344x^17 + 11989926x^16 - 19294392x^15 + 28024356x^14 - 36414037x^13 + 44459150x^12 - 50087517x^11 + 54111340x^10 - 47799819x^9 + 31974029x^8 - 11720297x^7 + 14313843x^6 - 10672203x^5 + 8855016x^4 + 6890309x^3 + 6869672x^2 + 1932120x + 490421	\( 7^{14}\cdot 43^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 2, 2, 4, 4, 28]$ (GRH)
28.0.2050125174461338816008034482151201300557313248344408064.1	x^28 - 37x^26 + 899x^24 - 11816x^22 + 109211x^20 - 689424x^18 + 3252533x^16 - 11374748x^14 + 30588386x^12 - 61574116x^10 + 93616839x^8 - 99291934x^6 + 71950767x^4 - 24588641x^2 + 5764801	\( 2^{28}\cdot 3^{14}\cdot 43^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[8729]$ (GRH)
28.0.2633354537185343913419055876339673429183385802381459456.1	x^28 - 2x^27 + 41x^26 - 50x^25 + 1043x^24 - 1134x^23 + 14548x^22 - 12210x^21 + 139789x^20 - 97228x^19 + 872712x^18 - 341770x^17 + 3760649x^16 - 842760x^15 + 11555688x^14 - 371480x^13 + 25100954x^12 + 1057018x^11 + 37654712x^10 + 6404386x^9 + 37771153x^8 + 8191560x^7 + 21872382x^6 + 9907754x^5 + 5020235x^4 + 898658x^3 + 155537x^2 - 5746x + 289	\( 2^{42}\cdot 3^{14}\cdot 29^{24} \)	$C_2\times C_{14}$ (as 28T2)	n/a
28.0.2633354537185343913419055876339673429183385802381459456.2	x^28 - 4x^27 - 56x^26 + 220x^25 + 1315x^24 - 5092x^23 - 16614x^22 + 64264x^21 + 127316x^20 - 489536x^19 - 639052x^18 + 2365228x^17 + 2269775x^16 - 7607912x^15 - 5496216x^14 + 16118448x^13 + 8847842x^12 - 22214196x^11 - 8566886x^10 + 16836040x^9 + 8299336x^8 - 1040484x^7 - 3574880x^6 - 4114816x^5 + 7481301x^4 - 2328948x^3 + 12345988x^2 + 848352x + 6379363	\( 2^{42}\cdot 3^{14}\cdot 29^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 4, 172]$ (GRH)
28.0.3073445894692486733947614496733715330677488092041015625.1	x^28 - x^27 + 43x^26 - 40x^25 + 1159x^24 - 1036x^23 + 19003x^22 - 15433x^21 + 224851x^20 - 181133x^19 + 1880966x^18 - 1581476x^17 + 11890509x^16 - 10760627x^15 + 54491661x^14 - 53967794x^13 + 188495906x^12 - 193045342x^11 + 445333440x^10 - 455634883x^9 + 740257288x^8 - 583060481x^7 + 548816761x^6 - 204723830x^5 + 118266095x^4 - 8234460x^3 + 19656335x^2 - 1267554x + 83521	\( 3^{14}\cdot 5^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[8, 8, 8, 232]$ (GRH)
28.0.3073445894692486733947614496733715330677488092041015625.2	x^28 - 12x^27 + 83x^26 - 402x^25 + 1497x^24 - 4430x^23 + 9892x^22 - 13325x^21 - 5277x^20 + 101227x^19 - 392562x^18 + 1057712x^17 - 1930463x^16 + 1447308x^15 + 4869943x^14 - 23680302x^13 + 62730879x^12 - 112637118x^11 + 146344703x^10 - 53198618x^9 - 156584897x^8 + 323241525x^7 - 229415564x^6 - 164626476x^5 + 561348952x^4 - 564100843x^3 + 277913062x^2 - 62913107x + 37919821	\( 3^{14}\cdot 5^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 2, 8, 8, 696]$ (GRH)
28.0.3073445894692486733947614496733715330677488092041015625.3	x^28 - x^27 + 37x^26 - 22x^25 + 682x^24 - 337x^23 + 8185x^22 - 3706x^21 + 73123x^20 - 39323x^19 + 517055x^18 - 293864x^17 + 2881062x^16 - 1269653x^15 + 13304046x^14 - 1380551x^13 + 43894811x^12 + 1747694x^11 + 99880149x^10 + 8840615x^9 + 234860782x^8 + 131564944x^7 + 215771335x^6 + 538783144x^5 + 281593991x^4 + 346864593x^3 + 585050360x^2 + 1702686x + 297525211	\( 3^{14}\cdot 5^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 4, 4, 2712]$ (GRH)
28.0.3073445894692486733947614496733715330677488092041015625.4	x^28 - 12x^27 + 95x^26 - 544x^25 + 2722x^24 - 11790x^23 + 47230x^22 - 170465x^21 + 580519x^20 - 1817287x^19 + 5433646x^18 - 15049677x^17 + 40114635x^16 - 99220982x^15 + 237665411x^14 - 526242344x^13 + 1135619833x^12 - 2242768340x^11 + 4353420535x^10 - 7586336825x^9 + 13171343590x^8 - 19820814665x^7 + 30470050180x^6 - 37975578530x^5 + 50884013935x^4 - 48025395089x^3 + 54808752058x^2 - 30471626250x + 28667253361	\( 3^{14}\cdot 5^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 2, 8, 8, 26216]$ (GRH)
28.0.6492539982200921241997440328846150231607161552711619049.1	x^28 - x^27 - 2x^26 + 19x^25 - 46x^24 + 211x^23 - 355x^22 - 1919x^21 + 4340x^20 - 11423x^19 + 37745x^18 + 30381x^17 + 11173x^16 - 143962x^15 + 524367x^14 + 1703017x^13 + 6677470x^12 + 12083171x^11 + 13404975x^10 + 8355430x^9 - 1920396x^8 - 31689615x^7 - 18305575x^6 - 5343000x^5 + 13080000x^4 + 6143750x^3 + 531250x^2 + 1093750x + 390625	\( 3^{14}\cdot 71^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2107]$ (GRH)
28.0.7586259643335085676646037106440640773336778620436217856.1	x^28 + 261x^24 + 16298x^20 + 333123x^16 + 1428018x^12 + 819134x^8 + 51301x^4 + 841	\( 2^{56}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 4, 4, 1204]$ (GRH)
28.0.7586259643335085676646037106440640773336778620436217856.2	x^28 + 4x^26 - 63x^24 - 188x^22 + 1294x^20 + 4584x^18 - 401x^16 - 92448x^14 + 55130x^12 + 1054280x^10 + 684982x^8 + 8370860x^6 + 17488517x^4 - 20759960x^2 + 11042329	\( 2^{56}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 4, 4, 516]$ (GRH)
28.0.7586259643335085676646037106440640773336778620436217856.3	x^28 - 4x^26 - 63x^24 + 188x^22 + 1294x^20 - 4584x^18 - 401x^16 + 92448x^14 + 55130x^12 - 1054280x^10 + 684982x^8 - 8370860x^6 + 17488517x^4 + 20759960x^2 + 11042329	\( 2^{56}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 4, 4, 516]$ (GRH)
28.0.7909732906157957559057675256932747228387119659164368896.1	x^28 - 28x^26 - 56x^25 + 378x^24 + 924x^23 - 1862x^22 - 5444x^21 + 2345x^20 - 13468x^19 + 19348x^18 + 281638x^17 - 154847x^16 - 1262142x^15 + 1760256x^14 - 141078x^13 - 8273370x^12 + 16406964x^11 + 11480798x^10 - 36011178x^9 + 5028527x^8 + 24278114x^7 - 11198019x^6 - 38195010x^5 + 62510966x^4 - 13710102x^3 - 17816547x^2 + 999110x + 4391639	\( 2^{42}\cdot 7^{50} \)	$C_2\times C_{14}$ (as 28T2)	$[1234]$ (GRH)
28.0.7909732906157957559057675256932747228387119659164368896.2	x^28 + 28x^26 - 56x^25 + 378x^24 - 868x^23 + 4186x^22 - 5556x^21 + 26257x^20 - 19068x^19 + 110236x^18 + 22134x^17 + 394401x^16 + 513058x^15 + 2075488x^14 + 2977282x^13 + 8125894x^12 + 13724228x^11 + 26391246x^10 + 42138278x^9 + 55894391x^8 + 77662530x^7 + 111233549x^6 + 123489366x^5 + 114888018x^4 + 69822746x^3 + 45073133x^2 + 55406190x + 35681291	\( 2^{42}\cdot 7^{50} \)	$C_2\times C_{14}$ (as 28T2)	$[953]$ (GRH)
28.0.12984931501152231903148118403201067499769297367881220096.1	x^28 - 2x^27 + 33x^26 - 8x^25 + 400x^24 + 232x^23 + 3692x^22 - 84x^21 + 27349x^20 - 20814x^19 + 139895x^18 - 200258x^17 + 638481x^16 - 1214276x^15 + 3203837x^14 - 6552716x^13 + 15305413x^12 - 26733774x^11 + 44836479x^10 - 67452498x^9 + 82171671x^8 - 89019544x^7 + 107446012x^6 - 114631858x^5 + 99986627x^4 - 88401976x^3 + 75048342x^2 - 40938072x + 9978409	\( 2^{42}\cdot 43^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[203]$ (GRH)
28.0.12984931501152231903148118403201067499769297367881220096.2	x^28 - 2x^27 - 23x^26 + 96x^25 + 172x^24 - 1112x^23 + 140x^22 + 4108x^21 - 1323x^20 + 11954x^19 - 31809x^18 - 147466x^17 + 208293x^16 + 688988x^15 + 539117x^14 - 2252476x^13 - 6512215x^12 + 4195314x^11 + 22992711x^10 + 13208998x^9 - 22322709x^8 - 35926296x^7 + 14087468x^6 + 33378830x^5 + 6900339x^4 - 15784328x^3 - 2705282x^2 + 20949672x + 11474513	\( 2^{42}\cdot 43^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[985]$ (GRH)
28.28.17726902035997940785736680176345909279067179524672108809.1	x^28 - 12x^27 - 17x^26 + 704x^25 - 1230x^24 - 16910x^23 + 53678x^22 + 208815x^21 - 952529x^20 - 1292583x^19 + 9401590x^18 + 1835875x^17 - 55400397x^16 + 27000714x^15 + 193853027x^14 - 190074984x^13 - 373374103x^12 + 552455692x^11 + 303130711x^10 - 780400889x^9 + 66439726x^8 + 483771191x^7 - 213323444x^6 - 85110098x^5 + 72075535x^4 - 7307537x^3 - 3799902x^2 + 793446x - 20591	\( 17^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	Trivial (GRH)
28.0.22791052858328956460332445607300922515156603344533848064.1	x^28 + 27x^26 + 411x^24 + 2977x^22 + 14430x^20 + 6532x^18 + 178104x^16 - 578821x^14 + 8840544x^12 - 43934230x^10 + 167974631x^8 - 400934959x^6 + 707029168x^4 - 748889507x^2 + 495997441	\( 2^{28}\cdot 7^{14}\cdot 29^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 28, 28]$ (GRH)
28.0.46614449603597195528164649707632663661509314996337890625.1	x^28 - 5x^27 + 59x^26 - 100x^25 + 1361x^24 - 1097x^23 + 21852x^22 + 1090x^21 + 228116x^20 + 113321x^19 + 1783360x^18 + 1397646x^17 + 9302966x^16 + 7143500x^15 + 33359623x^14 + 23886766x^13 + 71237549x^12 + 23786690x^11 + 70217616x^10 + 13166733x^9 + 48825618x^8 - 2116445x^7 + 4110870x^6 - 526838x^5 + 330317x^4 - 34194x^3 + 3315x^2 - 62x + 1	\( 3^{14}\cdot 5^{14}\cdot 43^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[179249]$ (GRH)
28.0.47124132165319849265944537684819890333789452787530072064.1	x^28 - 42x^26 + 1141x^24 - 17304x^22 + 185514x^20 - 1405327x^18 + 8063678x^16 - 34632564x^14 + 114161607x^12 - 277641777x^10 + 500991365x^8 - 607640670x^6 + 528315102x^4 - 270828656x^2 + 88529281	\( 2^{28}\cdot 3^{14}\cdot 7^{48} \)	$C_2\times C_{14}$ (as 28T2)	$[14413]$ (GRH)
28.0.84119824649142740425307369706365450159735457977329962241.1	x^28 - 12x^27 + 109x^26 - 700x^25 + 4035x^24 - 19574x^23 + 88778x^22 - 356475x^21 + 1362190x^20 - 4712493x^19 + 15680341x^18 - 47682224x^17 + 140523186x^16 - 379222674x^15 + 998556167x^14 - 2397439896x^13 + 5658735650x^12 - 12041626214x^11 + 25449411835x^10 - 47468325131x^9 + 89362532230x^8 - 142895968159x^7 + 237288842983x^6 - 311702665937x^5 + 449511995851x^4 - 443009324759x^3 + 541930532937x^2 - 311321664597x + 311907554911	\( 19^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	n/a
28.0.115059555281167207950880893411598858797306743145141108736.1	x^28 + 429x^24 + 31802x^20 + 705923x^16 + 6451930x^12 + 25926230x^8 + 39023453x^4 + 5764801	\( 2^{56}\cdot 43^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[8729]$ (GRH)
28.0.172491573797176117219488267129250761475686400000000000000.1	x^28 + 85x^26 + 3138x^24 + 66361x^22 + 892864x^20 + 8023932x^18 + 49145542x^16 + 205287249x^14 + 575107259x^12 + 1042796687x^10 + 1154960464x^8 + 716818571x^6 + 212892821x^4 + 20075674x^2 + 83521	\( 2^{28}\cdot 5^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 4, 4, 4, 25928]$ (GRH)
28.0.172491573797176117219488267129250761475686400000000000000.2	x^28 + 77x^26 + 2586x^24 + 49961x^22 + 617080x^20 + 5126412x^18 + 29379286x^16 + 117391053x^14 + 327131195x^12 + 629891623x^10 + 820109500x^8 + 692717515x^6 + 350752457x^4 + 89938214x^2 + 7123561	\( 2^{28}\cdot 5^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 4, 4, 4, 2436]$ (GRH)
28.0.172491573797176117219488267129250761475686400000000000000.3	x^28 - 14x^27 + 135x^26 - 936x^25 + 5336x^24 - 25422x^23 + 104543x^22 - 374022x^21 + 1179882x^20 - 3301012x^19 + 8217087x^18 - 18188118x^17 + 35780211x^16 - 62540558x^15 + 96760101x^14 - 131361794x^13 + 157184593x^12 - 171136062x^11 + 167465338x^10 - 127633640x^9 + 92192786x^8 - 142945196x^7 + 133893346x^6 + 62481562x^5 - 20350779x^4 - 221014676x^3 + 12443600x^2 + 131163708x + 87247081	\( 2^{28}\cdot 5^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	$[2, 4, 4, 4, 5556]$ (GRH)
28.0.172491573797176117219488267129250761475686400000000000000.4	x^28 - 2x^27 + 45x^26 - 80x^25 + 1187x^24 - 1934x^23 + 22138x^22 - 33046x^21 + 318531x^20 - 435512x^19 + 3676840x^18 - 4581920x^17 + 34769671x^16 - 39193702x^15 + 271774836x^14 - 273990802x^13 + 1756548849x^12 - 1558280808x^11 + 9314576819x^10 - 7101150838x^9 + 39824889399x^8 - 25169366408x^7 + 133052209774x^6 - 65705100948x^5 + 328509907687x^4 - 113376601034x^3 + 537399587373x^2 - 97937579416x + 440719107401	\( 2^{28}\cdot 5^{14}\cdot 29^{26} \)	$C_2\times C_{14}$ (as 28T2)	n/a
28.0.227377301430762366815308745905009164830324961107925753249.1	x^28 - 5x^27 + 19x^26 - 52x^25 + 37x^24 + 291x^23 + 772x^22 - 5204x^21 + 20866x^20 - 77733x^19 + 49006x^18 + 350432x^17 - 606436x^16 + 1635850x^15 - 2715569x^14 - 6050900x^13 + 8898705x^12 + 25878608x^11 - 27922208x^10 - 226684219x^9 + 391036360x^8 + 663677457x^7 - 1302809622x^6 - 1338303622x^5 + 2642888941x^4 + 4993294824x^3 - 9487528803x^2 - 8862898688x + 16939803409	\( 3^{14}\cdot 11^{14}\cdot 29^{24} \)	$C_2\times C_{14}$ (as 28T2)	$[4, 4, 172]$ (GRH)