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 96)

Label	Polynomial	Discriminant	Galois group	Class group
15.15.756943935220796320321.1	x^15 - x^14 - 14x^13 + 13x^12 + 78x^11 - 66x^10 - 220x^9 + 165x^8 + 330x^7 - 210x^6 - 252x^5 + 126x^4 + 84x^3 - 28x^2 - 8x + 1	\( 31^{14} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.886528337182930278529.1	x^15 - x^14 - 22x^13 + 17x^12 + 166x^11 - 102x^10 - 533x^9 + 270x^8 + 729x^7 - 352x^6 - 393x^5 + 173x^4 + 80x^3 - 27x^2 - 6x + 1	\( 7^{10}\cdot 11^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.10943023107606534329121.1	x^15 - 27x^13 - 4x^12 + 252x^11 + 60x^10 - 976x^9 - 288x^8 + 1473x^7 + 384x^6 - 765x^5 - 168x^4 + 150x^3 + 27x^2 - 9x - 1	\( 3^{20}\cdot 11^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.432659002790862279847129.1	x^15 - 2x^14 - 33x^13 + 46x^12 + 402x^11 - 362x^10 - 2214x^9 + 1335x^8 + 5700x^7 - 2740x^6 - 6581x^5 + 2926x^4 + 2758x^3 - 1103x^2 - 373x + 131	\( 11^{12}\cdot 13^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.9876832533361318095112441.1	x^15 - x^14 - 28x^13 + 23x^12 + 276x^11 - 182x^10 - 1193x^9 + 592x^8 + 2307x^7 - 956x^6 - 1721x^5 + 908x^4 + 316x^3 - 262x^2 + 42x - 1	\( 61^{14} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.16836836874485015869140625.1	x^15 - 5x^14 - 30x^13 + 150x^12 + 305x^11 - 1539x^10 - 1350x^9 + 6825x^8 + 3115x^7 - 13645x^6 - 4757x^5 + 11735x^4 + 3765x^3 - 3500x^2 - 770x + 301	\( 5^{24}\cdot 7^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.19241912323039288533050521.1	x^15 - 2x^14 - 43x^13 + 100x^12 + 622x^11 - 1668x^10 - 3380x^9 + 11013x^8 + 4836x^7 - 27366x^6 + 3839x^5 + 23300x^4 - 6520x^3 - 6663x^2 + 1723x + 197	\( 11^{12}\cdot 19^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.207828545629978179931640625.1	x^15 - 45x^13 - 10x^12 + 690x^11 + 252x^10 - 4560x^9 - 1965x^8 + 14370x^7 + 6350x^6 - 21975x^5 - 8970x^4 + 15050x^3 + 4575x^2 - 3405x - 107	\( 3^{20}\cdot 5^{24} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.222495240978703757087365489.1	x^15 - 2x^14 - 47x^13 + 44x^12 + 796x^11 - 86x^10 - 5782x^9 - 2469x^8 + 18376x^7 + 14370x^6 - 21477x^5 - 22698x^4 + 4468x^3 + 10091x^2 + 2903x + 211	\( 7^{10}\cdot 31^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.2572344674223769220522333521.1	x^15 - 2x^14 - 63x^13 + 133x^12 + 1422x^11 - 3182x^10 - 14085x^9 + 33507x^8 + 61557x^7 - 157405x^6 - 111611x^5 + 318268x^4 + 77338x^3 - 252062x^2 - 16054x + 47081	\( 11^{12}\cdot 31^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.2746410307762150989067078161.1	x^15 - 3x^14 - 48x^13 + 168x^12 + 663x^11 - 2841x^10 - 2236x^9 + 16959x^8 - 3687x^7 - 40813x^6 + 26625x^5 + 35805x^4 - 31481x^3 - 7836x^2 + 10398x - 1637	\( 3^{20}\cdot 31^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.6373627540905023204410809169.1	x^15 - 2x^14 - 59x^13 + 150x^12 + 1100x^11 - 3368x^10 - 7356x^9 + 29167x^8 + 10106x^7 - 98196x^6 + 44261x^5 + 92292x^4 - 57764x^3 - 27115x^2 + 17047x + 547	\( 7^{10}\cdot 41^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.8217006435930728912353515625.1	x^15 - 5x^14 - 40x^13 + 180x^12 + 585x^11 - 2349x^10 - 3980x^9 + 13695x^8 + 13045x^7 - 34955x^6 - 19249x^5 + 33245x^4 + 9345x^3 - 7780x^2 - 490x + 151	\( 5^{24}\cdot 13^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.15091397646253318362996493129.1	x^15 - 2x^14 - 73x^13 + 52x^12 + 2098x^11 + 858x^10 - 28112x^9 - 36813x^8 + 161814x^7 + 350706x^6 - 211189x^5 - 1031110x^4 - 709558x^3 + 104955x^2 + 207733x + 42527	\( 11^{12}\cdot 37^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.67826089355015287563327567529.1	x^15 - 2x^14 - 83x^13 + 81x^12 + 2678x^11 - 114x^10 - 41297x^9 - 30177x^8 + 301977x^7 + 409471x^6 - 861711x^5 - 1732412x^4 + 197478x^3 + 1652146x^2 + 508174x - 184427	\( 11^{12}\cdot 43^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.78674026011431622215094122481.1	x^15 - 3x^14 - 60x^13 + 114x^12 + 1311x^11 - 1311x^10 - 13178x^9 + 3897x^8 + 62079x^7 + 12471x^6 - 121443x^5 - 49737x^4 + 91153x^3 + 39540x^2 - 22284x - 8373	\( 3^{20}\cdot 41^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.108586003458674436566349398089.1	x^15 - 2x^14 - 57x^13 + 48x^12 + 1160x^11 - 216x^10 - 10866x^9 - 2451x^8 + 48322x^7 + 23558x^6 - 90077x^5 - 56572x^4 + 40542x^3 + 17185x^2 - 7475x + 625	\( 13^{10}\cdot 31^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.213817926580534310560958234929.1	x^15 - x^14 - 76x^13 + 13x^12 + 2093x^11 + 895x^10 - 25826x^9 - 21876x^8 + 141938x^7 + 155038x^6 - 298286x^5 - 335201x^4 + 192098x^3 + 163900x^2 - 31690x - 2479	\( 7^{10}\cdot 31^{14} \)	$C_{15}$ (as 15T1)	$[3]$ (GRH)
15.15.213817926580534310560958234929.2	x^15 - x^14 - 76x^13 + 13x^12 + 2093x^11 + 895x^10 - 24958x^9 - 17536x^8 + 133041x^7 + 91023x^6 - 330836x^5 - 156827x^4 + 371340x^3 + 38908x^2 - 166230x + 43525	\( 7^{10}\cdot 31^{14} \)	$C_{15}$ (as 15T1)	$[3]$ (GRH)
15.15.365440026390612125396728515625.1	x^15 - 5x^14 - 50x^13 + 260x^12 + 745x^11 - 4439x^10 - 2980x^9 + 29685x^8 - 4955x^7 - 81705x^6 + 43089x^5 + 82545x^4 - 55625x^3 - 17710x^2 + 9800x + 2401	\( 5^{24}\cdot 19^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.749787887447605250170677896929.1	x^15 - 2x^14 - 83x^13 + 140x^12 + 2380x^11 - 3320x^10 - 29682x^9 + 34801x^8 + 167356x^7 - 161206x^6 - 393515x^5 + 250272x^4 + 359552x^3 - 96207x^2 - 115927x - 9659	\( 7^{10}\cdot 61^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.2238775636295572340244024331321.1	x^15 - 2x^14 - 113x^13 + 208x^12 + 4834x^11 - 8166x^10 - 98676x^9 + 150883x^8 + 1004274x^7 - 1336418x^6 - 4903173x^5 + 5161658x^4 + 10129434x^3 - 6538649x^2 - 6747207x + 1201663	\( 11^{12}\cdot 61^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.2639300305759427100493462112721.1	x^15 - 93x^13 - 62x^12 + 3069x^11 + 3534x^10 - 43338x^9 - 62496x^8 + 258261x^7 + 375162x^6 - 681318x^5 - 871131x^4 + 723943x^3 + 645327x^2 - 209901x + 5921	\( 3^{20}\cdot 31^{14} \)	$C_{15}$ (as 15T1)	$[3]$ (GRH)
15.15.2639300305759427100493462112721.2	x^15 - 93x^13 - 62x^12 + 3069x^11 + 3534x^10 - 43617x^9 - 59985x^8 + 290067x^7 + 447981x^6 - 837000x^5 - 1558308x^4 + 541198x^3 + 2046465x^2 + 1023000x + 96875	\( 3^{20}\cdot 31^{14} \)	$C_{15}$ (as 15T1)	$[3]$ (GRH)
15.15.3091133177133909578645502426129.1	x^15 - 3x^14 - 114x^13 + 130x^12 + 5361x^11 + 3249x^10 - 120562x^9 - 259107x^8 + 1090119x^7 + 4464049x^6 + 785697x^5 - 20966655x^4 - 43817519x^3 - 38133582x^2 - 14510214x - 1701701	\( 3^{20}\cdot 7^{10}\cdot 11^{12} \)	$C_{15}$ (as 15T1)	$[3]$ (GRH)
15.15.3091133177133909578645502426129.2	x^15 - 3x^14 - 114x^13 + 165x^12 + 5277x^11 + 309x^10 - 119015x^9 - 163851x^8 + 1201692x^7 + 3201011x^6 - 2654712x^5 - 17750946x^4 - 19922550x^3 - 3294435x^2 + 4535715x + 831403	\( 3^{20}\cdot 7^{10}\cdot 11^{12} \)	$C_{15}$ (as 15T1)	$[3]$ (GRH)
15.15.3110568743658022425562755753769.1	x^15 - 2x^14 - 69x^13 + 154x^12 + 1536x^11 - 3742x^10 - 13104x^9 + 32905x^8 + 47584x^7 - 119624x^6 - 71155x^5 + 179526x^4 + 33394x^3 - 87985x^2 + 9x + 2293	\( 13^{10}\cdot 41^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.3203887529980253057019236799601.1	x^15 - x^14 - 70x^13 + 37x^12 + 1714x^11 - 646x^10 - 19122x^9 + 7308x^8 + 103129x^7 - 46623x^6 - 259504x^5 + 140547x^4 + 239121x^3 - 152667x^2 + 7714x + 361	\( 151^{14} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.4635329218173515544706698901009.1	x^15 - 2x^14 - 95x^13 + 330x^12 + 2696x^11 - 13890x^10 - 14576x^9 + 183885x^8 - 244262x^7 - 421848x^6 + 1178315x^5 - 361390x^4 - 1098512x^3 + 1025879x^2 - 229827x - 2911	\( 7^{10}\cdot 71^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.4829212716211581952447142935561.1	x^15 - 2x^14 - 67x^13 + 102x^12 + 1524x^11 - 1830x^10 - 13856x^9 + 15183x^8 + 52210x^7 - 55028x^6 - 78181x^5 + 76130x^4 + 39828x^3 - 32647x^2 - 2587x + 1303	\( 19^{10}\cdot 31^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.5720845891965056149406296828729.1	x^15 - 2x^14 - 123x^13 + 152x^12 + 5870x^11 - 2956x^10 - 136528x^9 - 22067x^8 + 1590440x^7 + 1155822x^6 - 8394345x^5 - 9635844x^4 + 13947752x^3 + 17818309x^2 - 4647121x - 4845499	\( 11^{12}\cdot 67^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.9255142598391173348787179150721.1	x^15 - 3x^14 - 84x^13 + 228x^12 + 2391x^11 - 5847x^10 - 29200x^9 + 60063x^8 + 170109x^7 - 273581x^6 - 455961x^5 + 575889x^4 + 516547x^3 - 477888x^2 - 213990x + 109169	\( 3^{20}\cdot 61^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.13487790856470777216989713088929.1	x^15 - 2x^14 - 133x^13 + 326x^12 + 6618x^11 - 19414x^10 - 150182x^9 + 529243x^8 + 1451632x^7 - 6655484x^6 - 2779461x^5 + 32472178x^4 - 23518862x^3 - 22419019x^2 + 15844999x + 3358343	\( 11^{12}\cdot 73^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.29715506336344844930608532407921.1	x^15 - 2x^14 - 143x^13 + 8246x^11 + 14904x^10 - 219872x^9 - 786687x^8 + 2075724x^7 + 14598886x^6 + 12430527x^5 - 75224192x^4 - 235831716x^3 - 288431111x^2 - 160431365x - 31658639	\( 11^{12}\cdot 79^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.40504199006061377874300161158921.1	x^15 - x^14 - 84x^13 + 157x^12 + 2394x^11 - 6230x^10 - 25412x^9 + 85976x^8 + 79471x^7 - 472660x^6 + 188069x^5 + 851676x^4 - 1016574x^3 + 218070x^2 + 106911x - 11813	\( 181^{14} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.48853652893352568149566650390625.1	x^15 - 5x^14 - 70x^13 + 345x^12 + 1605x^11 - 8259x^10 - 13835x^9 + 83055x^8 + 32860x^7 - 361145x^6 + 102680x^5 + 603860x^4 - 414630x^3 - 202555x^2 + 206735x - 28349	\( 5^{24}\cdot 31^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.57217025805425309006858635774641.1	x^15 - 3x^14 - 96x^13 + 90x^12 + 3387x^11 + 2367x^10 - 48026x^9 - 90183x^8 + 200511x^7 + 624775x^6 + 87771x^5 - 1101825x^4 - 1198347x^3 - 414456x^2 - 17184x + 8621	\( 3^{20}\cdot 71^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.104351149323786133540261771563529.1	x^15 - x^14 - 138x^13 + 199x^12 + 6929x^11 - 12063x^10 - 157948x^9 + 284032x^8 + 1754651x^7 - 2937677x^6 - 9064776x^5 + 12870179x^4 + 16617944x^3 - 18839782x^2 + 3647700x - 183581	\( 13^{10}\cdot 31^{14} \)	$C_{15}$ (as 15T1)	$[3]$ (GRH)
15.15.104351149323786133540261771563529.2	x^15 - x^14 - 138x^13 + 199x^12 + 6929x^11 - 12063x^10 - 153918x^9 + 286450x^8 + 1482626x^7 - 2537498x^6 - 5507898x^5 + 6506003x^4 + 7481934x^3 - 6753006x^2 - 3196046x + 2524579	\( 13^{10}\cdot 31^{14} \)	$C_{15}$ (as 15T1)	$[3]$ (GRH)
15.15.138338254038795273955595483867881.1	x^15 - 2x^14 - 79x^13 + 208x^12 + 1972x^11 - 5720x^10 - 21178x^9 + 65923x^8 + 100680x^7 - 350546x^6 - 168943x^5 + 826932x^4 - 86756x^3 - 658269x^2 + 294489x - 7213	\( 19^{10}\cdot 41^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.286613963390460550785064697265625.1	x^15 - 5x^14 - 80x^13 + 290x^12 + 2545x^11 - 5909x^10 - 39850x^9 + 51015x^8 + 314635x^7 - 181935x^6 - 1227567x^5 + 144735x^4 + 2166295x^3 + 419510x^2 - 1278880x - 477401	\( 5^{24}\cdot 37^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.318300180965960649704233197114049.1	x^15 - 2x^14 - 131x^13 + 582x^12 + 4862x^11 - 37014x^10 + 4666x^9 + 624063x^8 - 2105658x^7 + 1891060x^6 + 3272277x^5 - 8403710x^4 + 5121648x^3 + 1384213x^2 - 2005313x + 229963	\( 7^{10}\cdot 101^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.346700425107361035262655933030041.1	x^15 - x^14 - 98x^13 + 33x^12 + 3496x^11 + 320x^10 - 56185x^9 - 12878x^8 + 436039x^7 + 77800x^6 - 1621482x^5 - 146020x^4 + 2557353x^3 + 215635x^2 - 1305471x - 67519	\( 211^{14} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.365924546437605291907270802025529.1	x^15 - 2x^14 - 93x^13 + 144x^12 + 2960x^11 - 3738x^10 - 41558x^9 + 37495x^8 + 276726x^7 - 122146x^6 - 804863x^5 - 14194x^4 + 594218x^3 + 5239x^2 - 121589x + 18863	\( 13^{10}\cdot 61^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.1288144726352944910526275634765625.1	x^15 - 5x^14 - 90x^13 + 345x^12 + 3125x^11 - 8439x^10 - 53115x^9 + 90315x^8 + 460840x^7 - 430345x^6 - 1946324x^5 + 750200x^4 + 3237450x^3 - 106595x^2 - 566105x + 59599	\( 5^{24}\cdot 43^{10} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.2229659760502257132817812847740961.1	x^15 - x^14 - 112x^13 + 27x^12 + 4670x^11 + 1950x^10 - 88262x^9 - 82128x^8 + 746261x^7 + 913205x^6 - 2710134x^5 - 3747299x^4 + 3569665x^3 + 5422493x^2 - 548532x - 1342853	\( 241^{14} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.2262214114345307242786511343301609.1	x^15 - 2x^14 - 105x^13 + 334x^12 + 3348x^11 - 14720x^10 - 27588x^9 + 198291x^8 - 60296x^7 - 857980x^6 + 806127x^5 + 1390892x^4 - 1587370x^3 - 853079x^2 + 749403x + 261871	\( 13^{10}\cdot 71^{12} \)	$C_{15}$ (as 15T1)	Trivial (GRH)
15.15.2375614325883809574306005975647441.1	x^15 - x^14 - 138x^13 - 80x^12 + 6278x^11 + 13450x^10 - 98056x^9 - 360148x^8 + 54921x^7 + 1300271x^6 + 477210x^5 - 1783924x^4 - 627480x^3 + 972256x^2 + 154496x - 141824	\( 11^{12}\cdot 31^{14} \)	$C_{15}$ (as 15T1)	$[5]$ (GRH)
15.15.2375614325883809574306005975647441.2	x^15 - x^14 - 138x^13 + 261x^12 + 5937x^11 - 14853x^10 - 78278x^9 + 180337x^8 + 345794x^7 - 482477x^6 - 731294x^5 + 270601x^4 + 509073x^3 + 18479x^2 - 93070x - 15313	\( 11^{12}\cdot 31^{14} \)	$C_{15}$ (as 15T1)	$[5]$ (GRH)
15.15.2375614325883809574306005975647441.3	x^15 - x^14 - 138x^13 + 261x^12 + 5937x^11 - 13489x^10 - 113742x^9 + 294231x^8 + 1029158x^7 - 3121135x^6 - 3764830x^5 + 15651747x^4 + 191261x^3 - 29662843x^2 + 18560312x + 2683361	\( 11^{12}\cdot 31^{14} \)	$C_{15}$ (as 15T1)	$[5]$ (GRH)