Global number field search results

Further refine search

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 88)

Label	Polynomial	Discriminant	Galois group	Class group
15.7.2975546764864246329.1	x^15 - x^14 - 12x^13 + 13x^12 + 52x^11 - 59x^10 - 97x^9 + 105x^8 + 80x^7 - 53x^6 - 50x^5 + 4x^4 + 9x^3 + 3x^2 + 3x + 1	\( 3^{6}\cdot 7993^{4} \)	15T28	Trivial
15.7.3069762702266721241.1	x^15 - 6x^14 + 13x^13 - 10x^12 - 9x^11 + 30x^10 - 38x^9 + 45x^8 - 19x^7 - 48x^6 + 47x^5 - 38x^4 + 34x^3 + 5x^2 - 7x + 1	\( 11^{12}\cdot 23^{2}\cdot 43^{2} \)	15T71	Trivial
15.7.14145782123826827881.1	x^15 - x^14 + 12x^12 - 13x^11 + 2x^10 + 20x^9 - 22x^8 + x^7 - 80x^6 + 90x^5 - x^4 + x^3 - 10x^2 + 1	\( 11^{6}\cdot 41^{8} \)	15T28	Trivial
15.7.1348768015888107230208.1	x^15 - 15x^13 - 10x^12 + 72x^11 + 96x^10 - 103x^9 - 270x^8 - 99x^7 + 176x^6 + 459x^5 + 906x^4 + 1096x^3 + 720x^2 + 240x + 32	\( 2^{10}\cdot 3^{15}\cdot 13^{3}\cdot 347^{3} \)	15T93	Trivial (GRH)
15.7.1731826804433353307136.1	x^15 - 6x^13 - 6x^12 + 27x^11 + 12x^10 - 88x^9 + 54x^8 - 72x^7 + 408x^6 - 297x^5 - 474x^4 + 616x^3 - 72x^2 - 144x + 32	\( 2^{10}\cdot 3^{15}\cdot 4903^{3} \)	15T93	Trivial (GRH)
15.7.5759064874224632479744.1	x^15 - 6x^14 + 8x^13 + 30x^12 - 122x^11 + 90x^10 + 325x^9 - 728x^8 + 58x^7 + 1440x^6 - 1327x^5 - 904x^4 + 1775x^3 - 218x^2 - 716x + 296	\( 2^{14}\cdot 29^{4}\cdot 89^{6} \)	15T89	Trivial
15.7.13331179272517323570872.1	x^15 - 2x^14 - 12x^13 + 21x^12 + 59x^11 - 84x^10 - 150x^9 + 160x^8 + 204x^7 - 150x^6 - 140x^5 + 67x^4 + 44x^3 - 13x^2 - 4x + 1	\( 2^{3}\cdot 4373\cdot 411967\cdot 924989228549 \)	15T104	Trivial
15.7.27837728923955327156224.1	x^15 - 2x^14 - 3x^13 + 11x^12 - 30x^11 + 122x^9 - 174x^8 + 126x^7 + 282x^6 - 476x^5 - 4x^4 + 72x^3 - 216x^2 + 112x + 16	\( 2^{14}\cdot 43^{4}\cdot 89^{6} \)	15T89	Trivial
15.7.33455467633674242293489.1	x^15 - 6x^14 + 14x^13 - 2x^12 - 81x^11 + 267x^10 - 478x^9 + 345x^8 + 603x^7 - 1896x^6 + 2450x^5 - 2082x^4 + 445x^3 + 2020x^2 - 2460x + 859	\( 11^{12}\cdot 23^{2}\cdot 67^{4} \)	15T71	Trivial
15.7.35309406125000000000000.1	x^15 - 15x^13 + 90x^11 - 2x^10 - 275x^9 + 20x^8 + 450x^7 - 70x^6 - 383x^5 + 100x^4 + 165x^3 - 50x^2 - 40x + 8	\( 2^{12}\cdot 5^{15}\cdot 7^{10} \)	15T59	Trivial
15.7.35309406125000000000000.2	x^15 - 15x^13 + 90x^11 - 14x^10 - 275x^9 + 140x^8 + 450x^7 - 490x^6 - 375x^5 + 700x^4 + 125x^3 - 350x^2 + 56	\( 2^{12}\cdot 5^{15}\cdot 7^{10} \)	15T59	Trivial (GRH)
15.7.39876401007276214551552.1	x^15 - 4x^14 - 6x^13 + 63x^12 - 113x^11 - 102x^10 + 732x^9 - 1232x^8 + 734x^7 + 453x^6 - 804x^5 + 183x^4 - 46x^3 + 218x^2 - 53x + 3	\( 2^{10}\cdot 3^{8}\cdot 331^{3}\cdot 547^{3} \)	15T91	Trivial
15.7.83802598434331093896192.1	x^15 - 9x^13 - 6x^12 - 36x^11 - 48x^10 + 119x^9 + 270x^8 + 261x^7 + 256x^6 - 27x^5 - 714x^4 - 1064x^3 - 720x^2 - 240x - 32	\( 2^{10}\cdot 3^{9}\cdot 401^{6} \)	15T86	Trivial
15.7.208679507343297525648384.1	x^15 + 9x^13 - 6x^12 - 9x^11 + 12x^10 - 139x^9 + 270x^8 - 180x^7 + 40x^6 + 243x^5 - 810x^4 + 1080x^3 - 720x^2 + 240x - 32	\( 2^{10}\cdot 3^{15}\cdot 61^{3}\cdot 397^{3} \)	15T93	Trivial
15.7.307896452502425414887424.1	x^15 - x^14 - 11x^13 + 8x^12 + 48x^11 - 21x^10 - 108x^9 + 17x^8 + 137x^7 + 6x^6 - 99x^5 - 8x^4 + 38x^3 - 6x + 1	\( 2^{11}\cdot 11\cdot 13667278608949991783 \)	15T104	Trivial (GRH)
15.7.522874251292437641653529.1	x^15 - 5x^14 + 14x^13 - 25x^12 - 39x^11 + 325x^10 - 886x^9 + 1475x^8 - 714x^7 - 3448x^6 + 9908x^5 - 13758x^4 + 11749x^3 - 6069x^2 + 1604x - 131	\( 11^{12}\cdot 23\cdot 38281\cdot 189223 \)	15T81	Trivial (GRH)
15.7.554751656000000000000000.1	x^15 - 15x^13 + 90x^11 - 2x^10 - 275x^9 + 20x^8 + 450x^7 - 70x^6 - 387x^5 + 100x^4 + 185x^3 - 50x^2 - 60x + 8	\( 2^{18}\cdot 5^{15}\cdot 37^{5} \)	15T68	Trivial (GRH)
15.7.936090281689727783203125.1	x^15 - 15x^13 + 90x^11 - 2x^10 - 275x^9 + 20x^8 + 450x^7 - 70x^6 - 380x^5 + 100x^4 + 150x^3 - 50x^2 - 25x + 9	\( 3^{7}\cdot 5^{15}\cdot 107^{5} \)	15T68	Trivial
15.7.1043397536716487628241920.1	x^15 - 15x^13 - 10x^12 + 90x^11 + 120x^10 - 250x^9 - 540x^8 + 225x^7 + 1128x^6 + 297x^5 - 1098x^4 - 684x^3 + 432x^2 + 432x + 32	\( 2^{10}\cdot 3^{15}\cdot 5\cdot 61^{3}\cdot 397^{3} \)	15T93	Trivial (GRH)
15.7.1060617614116662948639744.1	x^15 - 15x^13 - 6x^12 + 90x^11 + 72x^10 - 282x^9 - 324x^8 + 513x^7 + 768x^6 - 567x^5 - 1206x^4 + 164x^3 + 1080x^2 + 480x - 32	\( 2^{10}\cdot 3^{15}\cdot 11^{12}\cdot 23 \)	15T81	Trivial (GRH)
15.7.2142947516807204898849792.1	x^15 - 3x^13 - 2x^12 - 54x^11 - 72x^10 - 51x^9 - 54x^8 + 207x^7 + 640x^6 + 891x^5 + 1098x^4 + 1128x^3 + 720x^2 + 240x + 32	\( 2^{10}\cdot 3^{16}\cdot 36497^{3} \)	15T91	Trivial (GRH)
15.7.2262670157726939535197184.1	x^15 + 12x^13 - 8x^12 + 9x^11 - 12x^10 - 185x^9 + 378x^8 - 495x^7 + 704x^6 - 405x^5 - 522x^4 + 1032x^3 - 720x^2 + 240x - 32	\( 2^{10}\cdot 3^{12}\cdot 401^{6} \)	15T80	Trivial (GRH)
15.7.11201613990722256217457664.1	x^15 - 3x^14 - 20x^13 + 54x^12 + 104x^11 - 221x^10 - 155x^9 - 112x^8 + 165x^7 + 554x^6 + 1088x^5 + 572x^4 - 1059x^3 - 1770x^2 - 1234x - 277	\( 2^{10}\cdot 3^{8}\cdot 401^{7} \)	15T79	Trivial (GRH)
15.7.11761609325115930968155136.1	x^15 - 2x^14 + 23x^13 - 29x^12 + 78x^11 + 108x^10 - 353x^9 + 913x^8 - 585x^7 - 345x^6 + 2379x^5 - 2442x^4 + 342x^3 + 480x^2 - 188x + 17	\( 2^{10}\cdot 83^{2}\cdot 401^{7} \)	15T79	Trivial (GRH)
15.7.44499179768629810858877952.1	x^15 - 15x^13 - 4x^12 + 90x^11 + 48x^10 - 306x^9 - 216x^8 + 729x^7 + 656x^6 - 1215x^5 - 1668x^4 + 620x^3 + 2016x^2 + 1056x + 96	\( 2^{10}\cdot 3^{11}\cdot 59\cdot 401^{6} \)	15T86	Trivial (GRH)
15.7.44896833821697857666015625.1	x^15 - x^14 - 4x^13 - 35x^12 - 24x^11 - 71x^10 + 899x^9 + 1896x^8 - 6905x^7 - 1614x^6 + 18939x^5 - 416x^4 - 14084x^3 - 28970x^2 + 3401x - 97	\( 3^{8}\cdot 5^{14}\cdot 257^{5} \)	15T60	Trivial (GRH)
15.7.144627327488000000000000000.1	x^15 - 20x^11 - 16x^10 + 75x^7 + 120x^6 + 48x^5 + 125x^3 + 300x^2 + 240x + 64	\( 2^{24}\cdot 5^{15}\cdot 7^{10} \)	15T101	Trivial (GRH)
15.7.144627327488000000000000000.2	x^15 - 20x^11 - 128x^10 - 800x^7 + 3200x^6 + 3072x^5 + 8000x^3 - 25600x^2 - 20480x + 32768	\( 2^{24}\cdot 5^{15}\cdot 7^{10} \)	15T101	Trivial (GRH)
15.7.183276282775882102350971904.1	x^15 + 9x^13 - 6x^12 - 36x^11 + 48x^10 - 151x^9 + 270x^8 - 99x^7 - 176x^6 + 459x^5 - 906x^4 + 1096x^3 - 720x^2 + 240x - 32	\( 2^{10}\cdot 3^{16}\cdot 401^{6} \)	15T80	Trivial (GRH)
15.7.10962798110524462576263969024.1	x^15 - 15x^13 - 6x^12 + 90x^11 + 72x^10 - 406x^9 - 324x^8 + 1629x^7 + 1016x^6 - 3915x^5 - 2694x^4 + 5992x^3 + 3312x^2 - 6960x - 864	\( 2^{8}\cdot 3^{14}\cdot 11^{6}\cdot 131^{6} \)	15T88	$[3]$ (GRH)
15.7.30882301570945259777553578125.1	x^15 - 4x^14 + 11x^13 - 38x^12 + 139x^11 - 206x^10 - 2038x^9 + 7767x^8 - 9664x^7 - 5430x^6 + 20708x^5 + 7092x^4 - 3218x^3 - 4097x^2 - 3552x - 188	\( 5^{6}\cdot 11^{12}\cdot 229^{5} \)	15T60	$[5]$ (GRH)
15.7.46147275726319772173643452416.1	x^15 - 6x^14 - 15x^13 + 195x^12 - 177x^11 - 1944x^10 + 125x^9 + 17799x^8 + 6408x^7 - 65914x^6 - 5610x^5 + 101934x^4 - 28655x^3 - 49518x^2 + 36987x - 10313	\( 2^{12}\cdot 3^{20}\cdot 17^{2}\cdot 3343733^{2} \)	15T50	Trivial (GRH)
15.7.65140401200194873310818074624.1	x^15 - 15x^13 - 22x^12 + 90x^11 + 264x^10 - 806x^9 - 1188x^8 + 5229x^7 + 14104x^6 - 14715x^5 - 72150x^4 - 6696x^3 + 105552x^2 + 63504x - 27616	\( 2^{18}\cdot 3^{12}\cdot 881^{6} \)	15T88	Trivial (GRH)
15.7.148943932177529497406294458368.1	x^15 - 15x^13 - 10x^12 + 90x^11 + 120x^10 - 374x^9 - 540x^8 + 1341x^7 + 1608x^6 - 3051x^5 - 3978x^4 + 6536x^3 + 4752x^2 - 11184x + 3680	\( 2^{20}\cdot 3^{16}\cdot 53^{9} \)	15T85	Trivial (GRH)
15.7.156309566567541201405567041536.1	x^15 - x^14 - 37x^13 + 81x^12 + 394x^11 - 906x^10 - 1650x^9 + 3878x^8 + 1548x^7 - 3724x^6 + 28484x^5 + 42844x^4 - 18504x^3 - 59864x^2 - 36216x - 7288	\( 2^{26}\cdot 137^{10} \)	$A_8$ (as 15T72)	Trivial (GRH)
15.7.156309566567541201405567041536.2	x^15 - 4x^14 - 30x^13 + 32x^12 + 421x^11 + 132x^10 - 3322x^9 - 112x^8 + 11245x^7 - 816x^6 - 22856x^5 + 7348x^4 + 20212x^3 - 4272x^2 - 8528x - 1648	\( 2^{26}\cdot 137^{10} \)	$A_8$ (as 15T72)	Trivial (GRH)
15.7.233416994199210500000000000000.1	x^15 - 20x^13 - 30x^12 + 140x^11 + 500x^10 - 1200x^9 - 2200x^8 + 5300x^7 + 20400x^6 - 12600x^5 - 29000x^4 + 110500x^3 + 8000x^2 - 39500x + 500	\( 2^{14}\cdot 5^{15}\cdot 7^{6}\cdot 3968023429 \)	15T87	Trivial (GRH)
15.7.267595051448364257812500000000.1	x^15 - 5x^14 - 5x^13 - 35x^12 - 10x^11 + 950x^10 + 2005x^9 + 165x^8 - 11050x^7 - 28850x^6 - 1575x^5 + 95325x^4 + 21125x^3 - 82925x^2 + 14750x - 2060	\( 2^{8}\cdot 3^{5}\cdot 5^{22}\cdot 71^{5} \)	15T51	Trivial (GRH)
15.7.471761446343357531250000000000.1	x^15 - 15x^13 - 10x^12 + 90x^11 + 120x^10 - 470x^9 - 540x^8 + 2205x^7 + 2440x^6 - 5643x^5 - 8970x^4 + 14120x^3 + 12240x^2 - 26160x - 17056	\( 2^{10}\cdot 3^{4}\cdot 5^{15}\cdot 239^{6} \)	15T85	Trivial (GRH)
15.7.479201799063542949853898980608.1	x^15 + 15x^13 - 10x^12 - 9x^11 + 12x^10 - 760x^9 + 1512x^8 - 2628x^7 + 4544x^6 - 1404x^5 - 7800x^4 + 12640x^3 - 8640x^2 + 2880x - 384	\( 2^{8}\cdot 3^{17}\cdot 31\cdot 881^{6} \)	15T90	Trivial (GRH)
15.7.879395416202630789696044007424.1	x^15 - 15x^13 - 2x^12 + 90x^11 + 24x^10 - 330x^9 - 108x^8 + 945x^7 + 160x^6 - 1863x^5 + 174x^4 + 2036x^3 - 504x^2 - 1248x + 384	\( 2^{17}\cdot 3^{15}\cdot 881^{6} \)	15T90	Trivial (GRH)
15.7.1722345634229351422033015574528.1	x^15 - 20x^13 - 23x^12 + 160x^11 + 368x^10 - 455x^9 - 2208x^8 - 940x^7 + 5251x^6 + 7856x^5 - 792x^4 - 10957x^3 - 10192x^2 - 3532x - 289	\( 2^{12}\cdot 23\cdot 53^{9}\cdot 5540509427 \)	15T87	Trivial (GRH)
15.7.2078532132292195957110397206528.1	x^15 - 6x^14 - 45x^13 + 237x^12 + 927x^11 - 3972x^10 - 15815x^9 - 1359x^8 + 32784x^7 + 13036x^6 - 44982x^5 - 205428x^4 - 402517x^3 - 219972x^2 + 103137x + 90953	\( 2^{24}\cdot 3^{20}\cdot 19^{2}\cdot 73^{3}\cdot 503^{2} \)	15T75	Trivial (GRH)
15.7.3241218354514560000000000000000.1	x^15 - 15x^13 - 30x^12 + 90x^11 + 360x^10 - 70x^9 - 1620x^8 - 1395x^7 + 3960x^6 + 5157x^5 - 6750x^4 - 11080x^3 + 6480x^2 + 17040x - 8032	\( 2^{22}\cdot 3^{16}\cdot 5^{16}\cdot 7^{6} \)	15T84	Trivial (GRH)
15.7.9609426760086059570312500000000.1	x^15 - 50x^13 - 5x^12 + 330x^11 + 266x^10 + 9150x^9 - 12230x^8 - 55090x^7 + 142500x^6 - 156072x^5 + 136600x^4 - 150040x^3 + 126420x^2 - 48320x + 1024	\( 2^{8}\cdot 5^{24}\cdot 229^{5} \)	15T51	Trivial (GRH)
15.7.25239408082699883432366153814016.1	x^15 - 3x^14 - 34x^13 + 131x^12 + 140x^11 + 6x^10 - 844x^9 - 23534x^8 + 34798x^7 - 338826x^6 + 697817x^5 + 1734863x^4 - 384987x^3 + 1185332x^2 - 3097360x - 1985369	\( 2^{12}\cdot 7^{10}\cdot 181^{3}\cdot 1918013^{2} \)	15T75	Trivial (GRH)
15.7.449874748329512465067024908812288.1	x^15 - x^14 - 45x^13 - 187x^12 - 215x^11 + 1683x^10 + 6975x^9 + 12185x^8 - 14857x^7 - 41575x^6 + 142641x^5 + 821871x^4 + 1562899x^3 + 1035129x^2 + 89497x - 69121	\( 2^{20}\cdot 13^{4}\cdot 37^{5}\cdot 61^{3}\cdot 30893^{2} \)	15T82	Trivial (GRH)
15.7.476081340356745953854630586535361.1	x^15 - 5x^14 - 75x^13 + 271x^12 + 2056x^11 - 3072x^10 - 28992x^9 - 28869x^8 + 188292x^7 + 579191x^6 + 359939x^5 - 1857141x^4 - 5503034x^3 - 7914792x^2 - 6186220x - 2598643	\( 61^{4}\cdot 139^{2}\cdot 397^{4}\cdot 267661^{2} \)	15T89	$[3]$ (GRH)
15.7.1196768921851523490591827382239232.1	x^15 - 5x^14 - 65x^13 + 117x^12 + 2102x^11 + 4902x^10 - 62198x^9 - 170502x^8 + 1255903x^7 + 2178233x^6 - 14942855x^5 - 11450085x^4 + 78014535x^3 + 39062877x^2 - 153874791x - 120960561	\( 2^{24}\cdot 3^{9}\cdot 107^{5}\cdot 137^{3}\cdot 317^{2} \)	15T82	Trivial (GRH)
15.7.62285142048708605347358118488040529.1	x^15 - 148x^13 - 2x^12 + 9164x^11 + 196x^10 - 303942x^9 - 7001x^8 + 5695781x^7 + 103900x^6 - 57180412x^5 - 407256x^4 + 240215638x^3 - 2362248x^2 - 5490x + 27	\( 7^{10}\cdot 3848209^{2}\cdot 3858721^{2} \)	15T50	Trivial (GRH)