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 89)

Label	Polynomial	Discriminant	Galois group	Class group
21.1.34154868120917133312000000000.1	x^21 - 10x^18 + 36x^15 - 76x^12 - 224x^9 - 144x^6 - 32x^3 - 16	\( 2^{20}\cdot 3^{34}\cdot 5^{9} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.7083212072929370650536855994368.1	x^21 - 18x^18 + 90x^15 - 108x^12 + 432x^9 + 1296x^6 - 216x^3 + 864	\( 2^{26}\cdot 3^{27}\cdot 7^{12} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.3.374031156573051227998849803993088.1	x^21 - 6x^20 + x^19 + 53x^18 - 27x^17 - 293x^16 - 9x^15 + 1527x^14 + 243x^13 - 5106x^12 - 1574x^11 + 12477x^10 + 3557x^9 - 22537x^8 + 2995x^7 + 24604x^6 - 19343x^5 - 8523x^4 + 22177x^3 - 14282x^2 + 4522x - 290	\( -\,2^{14}\cdot 7^{15}\cdot 37^{10} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.2322524889444393135652695649026048.1	x^21 - 7x^20 + 11x^19 - x^18 + 29x^17 - 31x^16 - 207x^15 + 283x^14 + 178x^13 - 774x^12 + 1676x^11 - 1948x^10 - 1140x^9 + 7012x^8 - 10652x^7 + 6060x^6 + 7976x^5 - 23032x^4 + 27464x^3 - 19144x^2 + 7592x - 1352	\( 2^{33}\cdot 3^{19}\cdot 7^{17} \)	$S_3\times F_7$ (as 21T15)	$[3]$ (GRH)
21.1.6126396525391100008339733920874496.1	x^21 - 2	\( 2^{20}\cdot 3^{21}\cdot 7^{21} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.3.55599491807759182102966212420960256.1	x^21 - 144x^14 - 106x^7 + 2	\( -\,2^{20}\cdot 7^{21}\cdot 37^{7} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.297767057903624960000000000000000000.1	x^21 + 21x^19 - 2x^18 + 209x^17 - 26x^16 + 1081x^15 - 450x^14 + 2345x^13 - 2990x^12 - 107x^11 - 5360x^10 - 1817x^9 + 13424x^8 + 28897x^7 + 59776x^6 + 72068x^5 + 63024x^4 + 32992x^3 + 7616x^2 + 576x + 64	\( 2^{26}\cdot 5^{19}\cdot 7^{17} \)	$S_3\times F_7$ (as 21T15)	$[3]$ (GRH)
21.1.301059380309170415238823998755176448.1	x^21 - 68x^14 + 1294x^7 + 32	\( 2^{33}\cdot 7^{21}\cdot 13^{7} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.7.17715608156920361474020168853580939264.1	x^21 - 2x^20 + 4x^19 + 70x^18 - 226x^17 - 406x^16 + 1741x^15 - 48x^14 - 4521x^13 + 7056x^12 - 14691x^11 + 29502x^10 - 17641x^9 - 46606x^8 + 128156x^7 - 152086x^6 + 57937x^5 + 104248x^4 - 179097x^3 + 119110x^2 - 36110x + 3596	\( -\,2^{36}\cdot 3^{18}\cdot 13^{16} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.20371841277193344052610353606982956821.1	x^21 - 3	\( 3^{41}\cdot 7^{21} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.7.419106148260412830400407432145473110016.1	x^21 - 6x^20 + 6x^19 + 14x^18 + 117x^17 - 756x^16 + 993x^15 - 72x^14 + 5994x^13 - 27152x^12 + 37740x^11 - 31386x^10 + 134624x^9 - 240930x^8 + 143181x^7 + 237822x^6 - 396504x^5 + 2869290x^4 - 6027167x^3 - 6344232x^2 + 4802307x + 1646714	\( -\,2^{30}\cdot 3^{27}\cdot 13^{15} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.340301188777014871770941836751902415781888.1	x^21 - 336x^14 + 28320x^7 - 15552	\( 2^{18}\cdot 3^{19}\cdot 7^{15}\cdot 113^{7} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.557192518080328228128540460681915283203125.1	x^21 - 5	\( 3^{21}\cdot 5^{20}\cdot 7^{21} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.21361423839074287933309954143795760931536896.1	x^21 - 6	\( 2^{20}\cdot 3^{41}\cdot 7^{21} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.466193259238025221575869415718789708563776421.1	x^21 - 7	\( 3^{21}\cdot 7^{41} \)	$S_3\times F_7$ (as 21T15)	$[3]$ (GRH)
21.21.2137431244633054651040398357581563904000000000.1	x^21 - 56x^19 + 1148x^17 - 11256x^15 - 1008x^14 + 59584x^13 + 12838x^12 - 178752x^11 - 58604x^10 + 304976x^9 + 120344x^8 - 290570x^7 - 117992x^6 + 148176x^5 + 54880x^4 - 35672x^3 - 10976x^2 + 2744x + 686	\( 2^{20}\cdot 3^{9}\cdot 5^{9}\cdot 7^{21}\cdot 37^{7} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.21.2988294641754081422729557568579911620000628736.1	x^21 - 4x^20 - 53x^19 + 209x^18 + 1073x^17 - 4189x^16 - 10781x^15 + 42311x^14 + 57491x^13 - 234064x^12 - 159236x^11 + 723175x^10 + 196667x^9 - 1249345x^8 + 3415x^7 + 1186026x^6 - 243705x^5 - 565919x^4 + 208315x^3 + 98094x^2 - 53928x + 4514	\( 2^{14}\cdot 7^{12}\cdot 37^{7}\cdot 173^{9} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.11841910006204867301303769538659846667225792512.1	x^21 - 7x^20 + 28x^19 - 140x^18 + 539x^17 - 1589x^16 + 5208x^15 - 14550x^14 + 33726x^13 - 85652x^12 + 199136x^11 - 392630x^10 + 782026x^9 - 779296x^8 + 517684x^7 - 1556478x^6 + 6082125x^5 - 9280761x^4 + 10378536x^3 - 3684954x^2 + 2233119x - 4362447	\( 2^{26}\cdot 3^{19}\cdot 7^{21}\cdot 43^{7} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.96191904229042724857909956685420452170151493632.1	x^21 - 7x^20 + 7x^19 + 91x^18 - 343x^17 - 35x^16 + 2793x^15 - 5271x^14 - 6174x^13 + 36862x^12 - 49252x^11 - 16100x^10 + 47152x^9 + 564704x^8 - 1702904x^7 + 1927968x^6 - 1988448x^5 + 2003568x^4 - 677040x^3 + 1010352x^2 - 1193808x + 348528	\( 2^{33}\cdot 3^{19}\cdot 7^{21}\cdot 29^{7} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.3.990506497724182757810432716022494243247764430389248.1	x^21 - 7x^20 - 21x^19 + 231x^18 + 77x^17 - 3255x^16 + 1701x^15 + 25169x^14 - 22890x^13 - 120750x^12 + 153188x^11 + 167748x^10 - 63896x^9 - 667016x^8 + 650208x^7 - 1194704x^6 + 2329152x^5 + 2944032x^4 - 4262720x^3 - 9240448x^2 + 9202368x + 7854656	\( -\,2^{33}\cdot 3^{18}\cdot 7^{21}\cdot 127^{7} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.52000321857243010504353469003759985000000000000000000.1	x^21 - 7x^20 - 21x^19 + 329x^18 - 511x^17 - 5313x^16 + 22673x^15 + 17861x^14 - 305914x^13 + 484596x^12 + 1641416x^11 - 6850424x^10 + 2950976x^9 + 28662816x^8 - 56752004x^7 - 29714272x^6 + 268519692x^5 - 350328916x^4 - 99703156x^3 + 680126244x^2 - 678292132x + 258383116	\( 2^{18}\cdot 5^{19}\cdot 7^{21}\cdot 211^{7} \)	$S_3\times F_7$ (as 21T15)	$[2]$ (GRH)
21.1.2779674387135021652740220623564472320000000000000000000.1	x^21 + 21x^19 - 438x^18 - 4161x^17 + 6876x^16 - 19449x^15 - 180030x^14 - 2020725x^13 - 25576020x^12 - 53377557x^11 - 224961030x^10 + 334966533x^9 - 10903896024x^8 - 28494481803x^7 - 139865038686x^6 - 209353969512x^5 - 2909582113104x^4 - 4534363813248x^3 - 30425924350656x^2 - 23356753720704x - 82620315048384	\( 2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{17}\cdot 13^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.3.10651197913197001533908982295691974846616400750079639552.1	x^21 - 32144x^14 + 10493280x^7 + 34420736	\( -\,2^{33}\cdot 7^{40}\cdot 41^{7} \)	$S_3\times F_7$ (as 21T15)	Trivial (GRH)
21.1.185083894086285956343696257354334893311234724948971880448.1	x^21 + 49x^19 - 98x^18 + 1029x^17 - 4116x^16 + 16121x^15 - 62238x^14 + 228095x^13 - 1568000x^12 + 12925563x^11 + 8335586x^10 - 73278177x^9 + 670558140x^8 + 627665995x^7 + 589911294x^6 + 5927602716x^5 - 8314660648x^4 + 54391211280x^3 + 136118128608x^2 + 13796853952x + 3093525184	\( 2^{33}\cdot 3^{18}\cdot 7^{17}\cdot 17^{19} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.254715392223928332796590537567913082880000000000000000000.1	x^21 - 7x^20 - 189x^19 + 2359x^18 + 8981x^17 - 277431x^16 + 789901x^15 + 14121359x^14 - 113584254x^13 - 128880486x^12 + 5222680680x^11 - 18571849464x^10 - 79222959900x^9 + 812925249780x^8 - 1456671621720x^7 - 10017806215788x^6 + 60981098550876x^5 - 83034819969948x^4 - 384001652308932x^3 + 1982371881158172x^2 - 3793231674684900x + 2927357027960148	\( 2^{33}\cdot 3^{18}\cdot 5^{19}\cdot 7^{17}\cdot 29^{7} \)	$S_3\times F_7$ (as 21T15)	$[3]$ (GRH)
21.3.272003771615891296889203394410244273958868413695405064192.1	x^21 - 633864x^14 - 98737629144x^7 - 2130887864952	\( -\,2^{18}\cdot 3^{19}\cdot 7^{17}\cdot 11^{19}\cdot 13^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.2850782826128958048988669116723104997174540074367395561472.1	x^21 - 7x^20 + 7x^19 + 427x^18 - 2359x^17 + 973x^16 + 76713x^15 - 322251x^14 - 51030x^13 + 7422478x^12 - 25300156x^11 - 7171388x^10 + 387981832x^9 - 261657928x^8 - 2718060368x^7 + 14603743728x^6 - 41439308064x^5 + 7269519264x^4 + 196647632832x^3 - 9805798464x^2 - 433958835072x + 1329014280576	\( 2^{33}\cdot 3^{18}\cdot 7^{21}\cdot 1063^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.7768946935337343279213431536688153817536377176369532239872.1	x^21 - 7x^20 + 217x^19 - 1039x^18 + 16265x^17 - 67195x^16 + 673467x^15 - 3262297x^14 + 21564242x^13 - 95264182x^12 + 490225342x^11 - 1802769584x^10 + 6308769536x^9 - 10492301162x^8 + 9691332318x^7 + 120179963920x^6 - 363434677664x^5 + 861500572256x^4 + 287175699584x^3 - 2226072324992x^2 + 4588789081088x - 3290030542336	\( 2^{18}\cdot 7^{17}\cdot 17^{19}\cdot 127^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.1202090336315934431360526607958288705617920000000000000000000.1	x^21 - 9x^20 + 30x^19 + 810x^18 + 7665x^17 + 145539x^16 - 1157136x^15 + 22352700x^14 + 59486130x^13 + 1036911690x^12 + 12604874796x^11 - 4048247664x^10 + 1332478142730x^9 + 705666957930x^8 + 52060322671200x^7 + 11992532164164x^6 + 1519304409798669x^5 + 1226053598985135x^4 + 22310247806481510x^3 + 4304090964183750x^2 + 204438880713856581x + 48239717281463331	\( 2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{17}\cdot 83^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.3988584188566184927712460097535808514732885044093734132645888.1	x^21 - 7x^20 + 112x^19 - 644x^18 + 5327x^17 - 25445x^16 + 141288x^15 - 561156x^14 + 2291226x^13 - 7649978x^12 + 24182648x^11 - 60738860x^10 + 134840062x^9 - 263747806x^8 + 513894856x^7 - 611271612x^6 + 815747877x^5 + 952919793x^4 + 211758120x^3 + 7341777072x^2 - 4043917773x + 14403261843	\( 2^{33}\cdot 3^{19}\cdot 7^{40}\cdot 13^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.5596800126330048398179365787435248523182080000000000000000000.1	x^21 - 660x^14 + 22192610x^7 + 133100000	\( 2^{33}\cdot 5^{19}\cdot 7^{21}\cdot 11^{19} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.9388410490242195341432275672675535918039385773886516991623168.1	x^21 - 7x^20 + 203x^19 - 1463x^18 + 18977x^17 - 132097x^16 + 1077041x^15 - 6775769x^14 + 40655986x^13 - 220547236x^12 + 1072325800x^11 - 4567524416x^10 + 17184792352x^9 - 56921931136x^8 + 196394111312x^7 - 511010249400x^6 + 1425798699360x^5 - 1876730026416x^4 + 4969555055472x^3 + 2779476929040x^2 + 5617933981296x + 22093742653584	\( 2^{18}\cdot 3^{18}\cdot 7^{17}\cdot 13^{19}\cdot 43^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.20714269215444879542778783404872527378677760000000000000000000.1	x^21 - 7x^20 - 49x^19 + 539x^18 + 161x^17 - 16051x^16 + 38241x^15 + 209059x^14 - 1086554x^13 - 407106x^12 + 13782440x^11 - 27422584x^10 - 41136060x^9 + 183654100x^8 + 84516280x^7 - 1385748588x^6 + 3217907756x^5 - 2441792668x^4 - 4210424932x^3 + 11145838172x^2 - 7005312580x + 1393873588	\( 2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{21}\cdot 41^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.7133386677177057321844488601370585790057054877370150192469245952.1	x^21 - 7x^20 + 63x^19 - 273x^18 + 1337x^17 - 3927x^16 + 13041x^15 - 25267x^14 + 60690x^13 - 91518x^12 + 119084x^11 + 634284x^10 - 845936x^9 + 3003280x^8 - 9539064x^7 + 22197616x^6 - 45490368x^5 + 88338768x^4 - 71119664x^3 + 42161840x^2 - 83922384x + 83379248	\( 2^{33}\cdot 3^{18}\cdot 7^{21}\cdot 11^{19}\cdot 13^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.8697528010877856619486913745558327692042564236100084428584255488.1	x^21 - 133x^19 - 602x^18 + 7581x^17 + 68628x^16 - 84749x^15 - 3258486x^14 - 10193785x^13 + 60618320x^12 + 517592649x^11 + 529827578x^10 - 8204305753x^9 - 35791605276x^8 - 5603826919x^7 + 479101024822x^6 + 1888661691252x^5 + 1078888675256x^4 - 11182890702928x^3 - 34923249923744x^2 - 50824408657344x - 35473411152832	\( 2^{33}\cdot 7^{40}\cdot 769^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.385299031450283695081389016328751512292325294080000000000000000000.1	x^21 - 7x^20 - 21x^19 + 427x^18 - 1099x^17 - 7371x^16 + 51877x^15 - 28459x^14 - 763602x^13 + 2834454x^12 - 3354876x^11 - 12561948x^10 - 9581544x^9 + 867775608x^8 - 2671533936x^7 + 2861475120x^6 - 10704143520x^5 + 18597509280x^4 + 4102539840x^3 + 39186141120x^2 - 60906867840x + 19907441280	\( 2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{21}\cdot 167^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.515948419432548652795384693815714046409770106880000000000000000000.1	x^21 - 7x^20 - 91x^19 + 1589x^18 - 1981x^17 - 101773x^16 + 735063x^15 + 1327111x^14 - 39409664x^13 + 144182136x^12 + 739819136x^11 - 7552096384x^10 + 15950698176x^9 + 59488601536x^8 - 544613923904x^7 + 574658074368x^6 + 11837589381632x^5 - 42702941725696x^4 + 17265195121664x^3 + 173123472026624x^2 - 632942656095232x + 900920827165696	\( 2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{15}\cdot 13^{7}\cdot 71^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.1842305049185776426372317709444210377390880236285000000000000000000.1	x^21 - 7x^20 + 56x^19 - 161x^18 + 581x^17 + 434x^16 - 1099x^15 + 19159x^14 + 8281x^13 + 87794x^12 + 966385x^11 - 2665229x^10 + 2983120x^9 - 37440235x^8 + 138040805x^7 - 189202188x^6 + 722578416x^5 - 1035586608x^4 + 1556164848x^3 - 2269756608x^2 + 1964250960x - 685324272	\( 2^{18}\cdot 3^{18}\cdot 5^{19}\cdot 7^{21}\cdot 13^{7}\cdot 83^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.3.2225242853336768591507237143760594156154416824320000000000000000000.1	x^21 - 304920x^14 - 4098965310x^7 - 1194393600000	\( -\,2^{33}\cdot 3^{18}\cdot 5^{19}\cdot 7^{21}\cdot 251^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.2916867225003158090761647087922058466205473669120000000000000000000.1	x^21 - 7x^20 - 21x^19 + 7x^18 + 1421x^17 + 1449x^16 - 15323x^15 - 108919x^14 - 11802x^13 + 1594194x^12 + 12744564x^11 - 28570668x^10 + 56321496x^9 + 938347368x^8 - 2826925296x^7 + 3242337840x^6 + 33289250400x^5 - 45591991200x^4 - 23651409600x^3 + 69480331200x^2 + 7011849600x - 97809091200	\( 2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{21}\cdot 223^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.3028868744050989768689551478105098411269081489345000000000000000000.1	x^21 + 21x^19 - 2268x^18 + 189x^17 - 40824x^16 + 2205441x^15 - 306090x^14 + 33070275x^13 - 1191655710x^12 + 200655063x^11 - 14287865130x^10 + 386285674383x^9 - 60913514214x^8 + 3472200615087x^7 - 75107387510946x^6 + 11228678522208x^5 - 449969373535374x^4 + 8108854969694472x^3 - 647042556248046x^2 + 24293782425706416x - 374806423239554574	\( 2^{18}\cdot 3^{19}\cdot 5^{19}\cdot 7^{15}\cdot 29^{7}\cdot 181^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.5408345795652875901935821111247961815379871355609667224052053311488.1	x^21 - 7x^20 + 56x^19 - 112x^18 + 287x^17 + 2639x^16 - 4872x^15 + 28852x^14 + 85498x^13 + 65310x^12 + 3879176x^11 - 10560508x^10 + 7001358x^9 - 263126318x^8 + 885880792x^7 - 1200362772x^6 + 6132900389x^5 - 8618999431x^4 + 13069935536x^3 - 24705378292x^2 + 23796592883x - 7883676593	\( 2^{26}\cdot 3^{19}\cdot 7^{21}\cdot 13^{7}\cdot 19^{19} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.13345529421114240689213311204151578981153204581639050292194699378688.1	x^21 - 7x^20 - 63x^19 + 1057x^18 - 1729x^17 - 46977x^16 + 316603x^15 + 325961x^14 - 11687256x^13 + 39839016x^12 + 136557204x^11 - 1367972340x^10 + 2516687964x^9 + 11623314444x^8 - 72186530568x^7 + 66246386724x^6 + 737941558788x^5 - 2591283279564x^4 + 1407559447980x^3 + 9674836268076x^2 - 28321950476484x + 29930107102308	\( 2^{18}\cdot 3^{19}\cdot 7^{40}\cdot 491^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.23354215149520145770884611145212717381599630651700115392847547465728.1	x^21 - 21173202x^14 + 164940880734306x^7 - 715092588417024	\( 2^{26}\cdot 3^{19}\cdot 7^{17}\cdot 23^{19}\cdot 29^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.67074988669695514157661184969648385566174950359040000000000000000000.1	x^21 - 7x^20 - 49x^19 + 119x^18 + 2681x^17 + 2849x^16 - 59199x^15 - 275051x^14 + 372946x^13 + 6005034x^12 + 15049580x^11 - 44208724x^10 - 258483120x^9 - 193560080x^8 + 699630280x^7 + 7646828112x^6 + 21977505536x^5 - 19136576368x^4 - 106034214832x^3 - 140692650448x^2 - 190888547920x - 142292871632	\( 2^{33}\cdot 3^{19}\cdot 5^{19}\cdot 7^{21}\cdot 349^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.1404290639202374964915097229751126656217933390186240000000000000000000.1	x^21 - 8730x^14 + 36455570370x^7 - 2612138803200000	\( 2^{26}\cdot 3^{18}\cdot 5^{19}\cdot 7^{21}\cdot 13^{7}\cdot 97^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.14064575590537072617183510833911332264598919604082378886625262816985088.1	x^21 - 7x^20 - 63x^19 - 119x^18 + 5327x^17 + 20055x^16 - 83237x^15 - 1383859x^14 - 2372160x^13 + 24367560x^12 + 187055820x^11 + 145844244x^10 - 2682084636x^9 - 13682621484x^8 - 12996844992x^7 + 145289526228x^6 + 753092808804x^5 + 754915945140x^4 - 2830120486452x^3 - 14383246351572x^2 - 29486874188772x - 30092867037324	\( 2^{26}\cdot 3^{19}\cdot 7^{40}\cdot 601^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.16856743381788797964169462556045972312361821474422784000000000000000000.1	x^21 + 77x^19 - 14x^18 + 2541x^17 - 924x^16 + 46669x^15 - 24570x^14 + 517055x^13 - 480760x^12 + 3613071x^11 - 3850x^10 + 11794727x^9 - 4705764x^8 + 41542631x^7 + 118482154x^6 + 57561084x^5 + 954860816x^4 + 1014152048x^3 + 3747573928x^2 - 813508752x + 5460680552	\( 2^{33}\cdot 5^{18}\cdot 7^{40}\cdot 97^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.1.23799537214144544855987852949932308494594769678441899396662782058299392.1	x^21 - 7x^20 - 133x^19 + 287x^18 + 11501x^17 + 22673x^16 - 503307x^15 - 2971235x^14 + 7171822x^13 + 123851322x^12 + 289386524x^11 - 1890715204x^10 - 13338735312x^9 - 15880653152x^8 + 150044092120x^7 + 784511093184x^6 + 1150521936032x^5 - 3757986589840x^4 - 22166544339184x^3 - 50296288035280x^2 - 61556969399632x - 35029115785232	\( 2^{33}\cdot 3^{18}\cdot 7^{40}\cdot 379^{7} \)	$S_3\times F_7$ (as 21T15)	n/a
21.3.164741220697322129579481287495063613302478454386458880000000000000000000.1	x^21 - 7x^20 - 539x^19 + 3745x^18 + 123515x^17 - 856121x^16 - 15509193x^15 + 108271479x^14 + 1138001760x^13 - 8161548500x^12 - 47160362200x^11 + 364571599000x^10 + 889660452520x^9 - 8783229793240x^8 + 1697893096120x^7 + 79566366868800x^6 - 223602818989200x^5 + 302507514834000x^4 - 231401632434000x^3 - 7218977715600x^2 + 2011887049200x + 1281974857676400	\( -\,2^{26}\cdot 3^{19}\cdot 5^{19}\cdot 7^{21}\cdot 2129^{7} \)	$S_3\times F_7$ (as 21T15)	n/a