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Label Polynomial Discriminant Galois group Class group
28.0.3053134545970524535745336759489912159909.1 x28 - x27 + x26 - x25 + x24 - x23 + x22 - x21 + x20 - x19 + x18 - x17 + x16 - x15 + x14 - x13 + x12 - x11 + x10 - x9 + x8 - x7 + x6 - x5 + x4 - x3 + x2 - x + 1 \( 29^{27} \) $C_{28}$ (as 28T1) $[2, 2, 2]$ (GRH)
28.28.14603047886206093768209337615200705673567789821.1 x28 - x27 - 28x26 + 28x25 + 349x24 - 349x23 - 2551x22 + 2551x21 + 12123x20 - 12123x19 - 39236x18 + 39236x17 + 88045x16 - 88045x15 - 136763x14 + 136763x13 + 144247x12 - 144247x11 - 99295x10 + 99295x9 + 41703x8 - 41703x7 - 9569x6 + 9569x5 + 987x4 - 987x3 - 28x2 + 28x + 1 \( 3^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.28.819569564076950716311987772907236898045117333504.1 x28 - 29x26 + 377x24 - 2900x22 + 14674x20 - 51359x18 + 127281x16 - 224808x14 + 281010x12 - 243542x10 + 140998x8 - 51272x6 + 10556x4 - 1015x2 + 29 \( 2^{28}\cdot 29^{27} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.0.18634854406558377293367533932433545897882080078125.1 x28 - x27 + 30x26 - 30x25 + 407x24 - 407x23 + 3307x22 - 3307x21 + 17981x20 - 17981x19 + 69340x18 - 69340x17 + 196621x16 - 196621x15 + 421429x14 - 421429x13 + 702439x12 - 702439x11 + 945981x10 - 945981x9 + 1086979x8 - 1086979x7 + 1138251x6 - 1138251x5 + 1148807x4 - 1148807x3 + 1149822x2 - 1149822x + 1149851 \( 5^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) $[2, 2, 2, 2, 1514]$ (GRH)
28.0.59692812354437378574125162510614243030548095703125.1 x28 - x27 + 13x26 - 18x25 + 139x24 + 6x23 + 1195x22 + 162x21 + 10698x20 - 2678x19 + 31811x18 - 10412x17 + 82335x16 - 59127x15 + 217167x14 - 143196x13 + 464676x12 - 285512x11 + 357781x10 - 176521x9 + 256648x8 + 112508x7 + 36201x6 + 9801x5 + 2858x4 + 449x3 + 67x2 + 9x + 1 \( 5^{21}\cdot 29^{24} \) $C_{28}$ (as 28T1) $[2, 2, 842]$ (GRH)
28.28.2070706293589565601613551437543564286910572644210741.1 x28 - x27 - 57x26 + 57x25 + 1451x24 - 1451x23 - 21749x22 + 21749x21 + 213035x20 - 213035x19 - 1430453x18 + 1430453x17 + 6715531x16 - 6715531x15 - 22059893x14 + 22059893x13 + 49878667x12 - 49878667x11 - 74814837x10 + 74814837x9 + 69567115x8 - 69567115x7 - 35437941x6 + 35437941x5 + 7799435x4 - 7799435x3 - 515445x2 + 515445x - 40309 \( 7^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.0.13427827737836760536055607671312169337571202392129536.1 x28 + 58x26 + 1508x24 + 23200x22 + 234784x20 + 1643488x18 + 8145984x16 + 28775424x14 + 71938560x12 + 124693504x10 + 144381952x8 + 105005056x6 + 43237376x4 + 8314880x2 + 475136 \( 2^{42}\cdot 29^{27} \) $C_{28}$ (as 28T1) $[2, 2, 2, 48802]$ (GRH)
28.28.13427827737836760536055607671312169337571202392129536.1 x28 - 58x26 + 1508x24 - 23200x22 + 234784x20 - 1643488x18 + 8145984x16 - 28775424x14 + 71938560x12 - 124693504x10 + 144381952x8 - 105005056x6 + 43237376x4 - 8314880x2 + 475136 \( 2^{42}\cdot 29^{27} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.0.50201655190081835380839261671426578388690948486328125.1 x28 - x27 + 18x26 - 23x25 + 29x24 - 149x23 - 795x22 - 8x21 - 2927x20 + 667x19 + 13846x18 - 647x17 + 109320x16 + 98963x15 + 313397x14 + 494999x13 + 789626x12 + 291678x11 + 1921156x10 - 425111x9 + 1044768x8 + 1156338x7 - 1030264x6 + 642721x5 + 1780368x4 - 4481806x3 + 897127x2 + 1339909x + 1148111 \( 5^{21}\cdot 29^{26} \) $C_{28}$ (as 28T1) $[2, 2, 2, 2, 562]$ (GRH)
28.0.761400267340438731808185095577412659073352813720703125.1 x28 - x27 + 19x26 - 2x25 + 271x24 - 992x23 + 5175x22 - 15390x21 + 63548x20 - 148986x19 + 389755x18 - 780480x17 + 1682463x16 - 2675897x15 + 5128339x14 - 7532046x13 + 13393480x12 - 18209154x11 + 29065829x10 - 34016343x9 + 48229826x8 - 40181120x7 + 44171883x6 - 25868717x5 + 23880346x4 + 7983325x3 + 12353145x2 + 823543x + 5764801 \( 5^{21}\cdot 43^{24} \) $C_{28}$ (as 28T1) $[22709]$ (GRH)
28.28.1159427335739550761098088865697701264851767903254485069.1 x28 - x27 - 86x26 + 86x25 + 3307x24 - 3307x23 - 74993x22 + 74993x21 + 1113601x20 - 1113601x19 - 11366636x18 + 11366636x17 + 81421213x16 - 81421213x15 - 410233883x14 + 410233883x13 + 1433472727x12 - 1433472727x11 - 3360164459x10 + 3360164459x9 + 4965626443x8 - 4965626443x7 - 4117054541x6 + 4117054541x5 + 1492836655x4 - 1492836655x3 - 125401190x2 + 125401190x + 13304911 \( 11^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.28.1455848000512373226044338588471370773272037506103515625.1 x28 - x27 - 57x26 + 57x25 + 1364x24 - 1364x23 - 17950x22 + 18037x21 + 142913x20 - 145523x19 - 713109x18 + 743298x17 + 2232740x16 - 2405667x15 - 4269698x14 + 4803704x13 + 4711051x12 - 5646852x11 - 2718459x10 + 3724759x9 + 602998x8 - 1290327x7 + 67136x6 + 201056x5 - 39932x4 - 7831x3 + 2582x2 - 146x + 1 \( 5^{21}\cdot 29^{27} \) $C_{28}$ (as 28T1) $[4]$ (GRH)
28.28.1455848000512373226044338588471370773272037506103515625.2 x28 - x27 - 57x26 + 57x25 + 1364x24 - 1364x23 - 17950x22 + 18037x21 + 142913x20 - 145523x19 - 713109x18 + 743298x17 + 2232740x16 - 2405812x15 - 4269553x14 + 4796744x13 + 4718011x12 - 5558257x11 - 2806909x10 + 3434904x9 + 899378x8 - 1037302x7 - 179219x6 + 128266x5 + 22273x4 - 2466x3 - 463x2 - x + 1 \( 5^{21}\cdot 29^{27} \) $C_{28}$ (as 28T1) $[4]$ (GRH)
28.0.3919975818323568890648031846194353959005956807512293376.1 x28 + 87x26 + 3393x24 + 78300x22 + 1188594x20 + 12480237x18 + 92787849x16 + 491655096x14 + 1843706610x12 + 4793637186x10 + 8325790902x8 + 9082680984x6 + 5609891196x4 + 1618237845x2 + 138706101 \( 2^{28}\cdot 3^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.0.12021339863667063616623959462764825581356981533355604701.1 x28 - x27 + 88x26 - 88x25 + 3481x24 - 3481x23 + 81781x22 - 81781x21 + 1270375x20 - 1270375x19 + 13750612x18 - 13750612x17 + 106538461x16 - 106538461x15 + 598193557x14 - 598193557x13 + 2441900167x12 - 2441900167x11 + 7235537353x10 - 7235537353x9 + 15561328255x8 - 15561328255x7 + 24644009239x6 - 24644009239x5 + 30253900435x4 - 30253900435x3 + 31872138280x2 - 31872138280x + 32010844381 \( 13^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.0.17501529797217428894629579082505064100647449493408203125.1 x28 + 21x26 - 21x25 + 350x24 + 875x23 + 5964x22 + 15191x21 + 74431x20 + 149541x19 + 491337x18 + 902447x17 + 2521988x16 + 4058887x15 + 10825963x14 + 16164904x13 + 40448583x12 + 53367559x11 + 103699603x10 + 109113760x9 + 196642418x8 + 95224249x7 + 208289837x6 + 114584232x5 + 234771859x4 + 151478789x3 + 168609280x2 + 76664532x + 88529281 \( 5^{21}\cdot 7^{48} \) $C_{28}$ (as 28T1) $[43793]$ (GRH)
28.28.27109279426973463946497256695670162843066176000405662417.1 x28 - x27 - 54x26 + 49x25 + 1225x24 - 1001x23 - 15311x22 + 11161x21 + 116343x20 - 74822x19 - 560240x18 + 313492x17 + 1732121x16 - 830930x15 - 3415294x14 + 1402578x13 + 4180450x12 - 1539463x11 - 3009246x10 + 1130459x9 + 1156658x8 - 526380x7 - 185425x6 + 123876x5 - 2990x4 - 8671x3 + 1761x2 - 106x + 1 \( 113^{27} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.28.89129930946082115284480820405277744589647154669189453125.1 x28 - x27 - 115x26 + 115x25 + 5917x24 - 5917x23 - 179683x22 + 179683x21 + 3576861x20 - 3576861x19 - 49014755x18 + 49014755x17 + 472328221x16 - 472328221x15 - 3210926051x14 + 3210926051x13 + 15205345309x12 - 15205345309x11 - 48637728739x10 + 48637728739x9 + 99209390109x8 - 99209390109x7 - 115840964579x6 + 115840964579x5 + 61259327517x4 - 61259327517x3 - 6856169443x2 + 6856169443x + 928458781 \( 3^{14}\cdot 5^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.28.285508871014090994161304854408230095373577594757080078125.1 x28 - 3x27 - 76x26 + 240x25 + 2304x24 - 7603x23 - 36878x22 + 128066x21 + 343545x20 - 1282732x19 - 1916913x18 + 8047861x17 + 6204946x16 - 32326986x15 - 9514433x14 + 82829451x13 - 3555519x12 - 130526538x11 + 39192998x10 + 114771575x9 - 59689322x8 - 42555117x7 + 33120187x6 - 652569x5 - 2759285x4 + 199864x3 + 57190x2 + 86x - 59 \( 3^{14}\cdot 5^{21}\cdot 29^{24} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.0.514080159043940282786363725114031369092948206215491155461.1 x28 - x27 + 117x26 - 117x25 + 6149x24 - 6149x23 + 191749x22 - 191749x21 + 3948293x20 - 3948293x19 + 56539909x18 - 56539909x17 + 577882885x16 - 577882885x15 + 4261137157x14 - 4261137157x13 + 22677408517x12 - 22677408517x11 + 86520482565x10 - 86520482565x9 + 234367601413x8 - 234367601413x7 + 449417956101x6 - 449417956101x5 + 626518248197x4 - 626518248197x3 + 694633745157x2 - 694633745157x + 702418373381 \( 17^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.28.857574960063654015836849375042748140931725025177001953125.1 x28 - 84x26 - 21x25 + 2870x24 + 1365x23 - 52311x22 - 35384x21 + 558551x20 + 476021x19 - 3616123x18 - 3640098x17 + 14278698x16 + 16439787x15 - 33849902x14 - 44286151x13 + 45977568x12 + 70220969x11 - 31909787x10 - 63232365x9 + 7294518x8 + 30363184x7 + 2492042x6 - 6990543x5 - 1496096x4 + 540274x3 + 194915x2 + 17822x + 361 \( 5^{21}\cdot 7^{50} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.28.1407829094312471215113334241722636006626629352569580078125.1 x28 - x27 - 81x26 + 98x25 + 2666x24 - 3722x23 - 46935x22 + 73335x21 + 486583x20 - 833426x19 - 3079355x18 + 5705690x17 + 11981008x16 - 23840492x15 - 28489796x14 + 60403709x13 + 41941965x12 - 91572889x11 - 41957881x10 + 83155937x9 + 31487031x8 - 43876845x7 - 17209192x6 + 11875118x5 + 5608146x4 - 990770x3 - 732425x2 - 84867x - 2789 \( 5^{21}\cdot 43^{26} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.28.2439474914825139472333913721484598054632328281342568904989.1 x28 - x27 - 144x26 + 144x25 + 9281x24 - 9281x23 - 353219x22 + 353219x21 + 8818031x20 - 8818031x19 - 151678844x18 + 151678844x17 + 1837086781x16 - 1837086781x15 - 15726038219x14 + 15726038219x13 + 94043493031x12 - 94043493031x11 - 381624475719x10 + 381624475719x9 + 995309118031x8 - 995309118031x7 - 1508206506969x6 + 1508206506969x5 + 1068941930531x4 - 1068941930531x3 - 170071741344x2 + 170071741344x + 6930211781 \( 19^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.28.5002255640118107399365159746748272082794905600000000000000.1 x28 - 145x26 + 9425x24 - 362500x22 + 9171250x20 - 160496875x18 + 1988765625x16 - 17563125000x14 + 109769531250x12 - 475667968750x10 + 1376933593750x8 - 2503515625000x6 + 2577148437500x4 - 1239013671875x2 + 177001953125 \( 2^{28}\cdot 5^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.0.9904124010343790995983966505676304133800374729508003670029.1 x28 - x27 + 146x26 - 146x25 + 9571x24 - 9571x23 + 372071x22 - 372071x21 + 9543321x20 - 9543321x19 + 170040196x18 - 170040196x17 + 2158805821x16 - 2158805821x15 + 19721930821x14 - 19721930821x13 + 129491462071x12 - 129491462071x11 + 605159430821x10 - 605159430821x9 + 1982093024571x8 - 1982093024571x7 + 4485608649571x6 - 4485608649571x5 + 7062757087071x4 - 7062757087071x3 + 8301770758946x2 - 8301770758946x + 8478772712071 \( 3^{14}\cdot 7^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.28.16023667304285831340989917799610839168000000000000000000000.1 x28 - 4x27 - 77x26 + 298x25 + 2444x24 - 9196x23 - 42045x22 + 154538x21 + 436038x20 - 1566292x19 - 2887069x18 + 10049582x17 + 12680015x16 - 41758048x15 - 38007063x14 + 112864436x13 + 79251721x12 - 195680358x11 - 115037594x10 + 209457056x9 + 112205318x8 - 127991098x7 - 66955254x6 + 37949294x5 + 20053613x4 - 3584684x3 - 1768008x2 + 148696x + 31321 \( 2^{28}\cdot 5^{21}\cdot 29^{24} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.0.18917407352603402612306290142504402709970002327473311711232.1 x28 - 4x27 - 14x26 + 64x25 + 191x24 - 772x23 - 690x22 + 4028x21 - 654x20 - 16648x19 + 22712x18 + 37484x17 + 113927x16 + 252872x15 + 1432704x14 - 2924152x13 + 10716934x12 - 2935524x11 + 20038x10 + 11010404x9 + 19222670x8 - 54174868x7 + 364501416x6 - 435001108x5 + 473363957x4 - 376661420x3 + 493240074x2 - 18656684x + 186649783 \( 2^{77}\cdot 29^{24} \) $C_{28}$ (as 28T1) $[2, 2, 772186]$ (GRH)
28.28.18917407352603402612306290142504402709970002327473311711232.1 x28 - 4x27 - 70x26 + 272x25 + 2007x24 - 7620x23 - 31106x22 + 115948x21 + 290042x20 - 1063528x19 - 1718136x18 + 6176908x17 + 6666823x16 - 23204920x15 - 17269984x14 + 56540840x13 + 30251654x12 - 88343908x11 - 35706314x10 + 86510324x9 + 26775430x8 - 51247828x7 - 10970104x6 + 17598492x5 + 1821397x4 - 3152012x3 + 46562x2 + 211268x - 23953 \( 2^{77}\cdot 29^{24} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.0.30928748566898619200779449873164521915364034557154874272253.1 x28 - 3x27 - 34x26 + 144x25 + 434x24 - 2347x23 - 1826x22 + 20510x21 - 1765x20 - 109438x19 + 155561x18 + 274375x17 - 755172x16 + 932048x15 - 239571x14 - 6022955x13 + 13616855x12 - 2683804x11 - 29709892x10 + 50763183x9 - 10828500x8 + 60669907x7 + 337407873x6 - 138342771x5 - 258957409x4 - 71603500x3 + 372018822x2 + 287060780x + 118082201 \( 13^{21}\cdot 29^{24} \) $C_{28}$ (as 28T1) $[2, 14, 9422]$ (GRH)
28.28.35394489068231220324814698212289719250778220848093751207381.1 x28 - x27 - 173x26 + 173x25 + 13399x24 - 13399x23 - 613001x22 + 613001x21 + 18404503x20 - 18404503x19 - 380963081x18 + 380963081x17 + 5557459255x16 - 5557459255x15 - 57374393033x14 + 57374393033x13 + 414614499127x12 - 414614499127x11 - 2039727740105x10 + 2039727740105x9 + 6485882143543x8 - 6485882143543x7 - 12115448511689x6 + 12115448511689x5 + 10862665827127x4 - 10862665827127x3 - 2393938599113x2 + 2393938599113x - 121377840329 \( 23^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.0.64224883807413352704377353768048295264353596334281414672384.1 x28 + 174x26 + 13572x24 + 626400x22 + 19017504x20 + 399367584x18 + 5938422336x16 + 62931852288x14 + 471988892160x12 + 2454342239232x10 + 8525609883648x8 + 18601330655232x6 + 22978114338816x4 + 13256604426240x2 + 2272560758784 \( 2^{42}\cdot 3^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.28.64224883807413352704377353768048295264353596334281414672384.1 x28 - 174x26 + 13572x24 - 626400x22 + 19017504x20 - 399367584x18 + 5938422336x16 - 62931852288x14 + 471988892160x12 - 2454342239232x10 + 8525609883648x8 - 18601330655232x6 + 22978114338816x4 - 13256604426240x2 + 2272560758784 \( 2^{42}\cdot 3^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.0.128401607345812283715591125636314028226206818103790283203125.1 x28 - x27 + 31x26 - 64x25 + 743x24 + 360x23 + 14247x22 + 17824x21 + 211772x20 + 351618x19 + 2950835x18 + 5926264x17 + 35579743x16 + 98555653x15 + 337486035x14 + 730923194x13 + 2193380028x12 + 3489008888x11 + 6547998985x10 + 8180911099x9 + 13300322412x8 - 1313161326x7 + 8126173929x6 - 251536057x5 + 8464009280x4 + 3624030723x3 + 1759162063x2 + 629981485x + 352275361 \( 5^{21}\cdot 71^{24} \) $C_{28}$ (as 28T1) $[2, 2, 2, 2, 14, 2758]$ (GRH)
28.28.240112960522850526089657382557321510209178757190704345703125.1 x28 - x27 - 127x26 + 122x25 + 6844x24 - 6239x23 - 208000x22 + 174427x21 + 3978918x20 - 2921373x19 - 50486029x18 + 30063653x17 + 435121500x16 - 184317982x15 - 2557698883x14 + 574396734x13 + 10101792966x12 - 102364842x11 - 25756963009x10 - 5196774016x9 + 39074109508x8 + 15087293028x7 - 29974362484x6 - 15060917194x5 + 8518851558x4 + 3872502094x3 - 1071658158x2 - 256197636x + 42607381 \( 3^{14}\cdot 5^{21}\cdot 29^{26} \) $C_{28}$ (as 28T1) $[2, 2]$ (GRH)
28.0.555850988161784919111048015916462199222154398969836020432896.1 x28 + 203x26 + 18473x24 + 994700x22 + 35232274x20 + 863190713x18 + 14974482369x16 + 185139054744x14 + 1619966729010x12 + 9827798155994x10 + 39828445158502x8 + 101381496767096x6 + 146108627693756x4 + 98342345563105x2 + 19668469112621 \( 2^{28}\cdot 7^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.28.2311051677985488109296342199847259892756218483742420538210789.1 x28 - x27 - 231x26 + 231x25 + 23897x24 - 23897x23 - 1460903x22 + 1460903x21 + 58643801x20 - 58643801x19 - 1624287911x18 + 1624287911x17 + 31741662553x16 - 31741662553x15 - 439714884263x14 + 439714884263x13 + 4274850583897x12 - 4274850583897x11 - 28412803328679x10 + 28412803328679x9 + 122982646371673x8 - 122982646371673x7 - 317440480029351x6 + 317440480029351x5 + 407962316395865x4 - 407962316395865x3 - 150039834700455x2 + 150039834700455x - 22496485878439 \( 29^{27}\cdot 31^{14} \) $C_{28}$ (as 28T1) n/a
28.28.3641753875281030900637863258408801848555415234088897705078125.1 x28 - 3x27 - 100x26 + 212x25 + 4256x24 - 5523x23 - 99700x22 + 59618x21 + 1402407x20 - 36832x19 - 12199271x18 - 5368181x17 + 65218506x16 + 54518578x15 - 204434963x14 - 248307765x13 + 329592453x12 + 566561234x11 - 164293830x10 - 586030579x9 - 118191520x8 + 199817979x7 + 70371961x6 - 24893187x5 - 10823713x4 + 572142x3 + 491878x2 + 43812x + 811 \( 3^{14}\cdot 5^{21}\cdot 43^{24} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.0.5545505004594863364258565003877268521046795476461201195989861.1 x28 - x27 + 233x26 - 233x25 + 24361x24 - 24361x23 + 1509161x22 - 1509161x21 + 61613865x20 - 61613865x19 + 1744545577x18 - 1744545577x17 + 35110496041x16 - 35110496041x15 + 506567042857x14 - 506567042857x13 + 5221132511017x12 - 5221132511017x11 + 37908786423593x10 - 37908786423593x9 + 189304236123945x8 - 189304236123945x7 + 629727362524969x6 - 629727362524969x5 + 1355130158950185x4 - 1355130158950185x3 + 1913132310046505x2 - 1913132310046505x + 2040675658868521 \( 3^{14}\cdot 11^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.0.6963275855162665256600064094162323796066183958530426025390625.1 x28 - x27 + 88x26 - 88x25 + 3394x24 - 3394x23 + 75865x22 - 80998x21 + 1100638x20 - 1451393x19 + 11305361x18 - 20452367x17 + 85342680x16 - 210052337x15 + 497984202x14 - 1476922586x13 + 2539665866x12 - 6840651052x11 + 12213543141x10 - 20170505866x9 + 46647651823x8 - 56641660997x7 + 104743069711x6 - 140023586864x5 + 212356160468x4 - 260927965161x3 + 188267474927x2 - 67387744281x + 9200187361 \( 3^{14}\cdot 5^{21}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.0.6963275855162665256600064094162323796066183958530426025390625.2 x28 - x27 + 88x26 - 88x25 + 3394x24 - 3394x23 + 75865x22 - 67948x21 + 1087588x20 - 790193x19 + 10659821x18 - 5999927x17 + 78712410x16 - 38454407x15 + 503292507x14 - 288729656x13 + 2653721996x12 - 2087317747x11 + 11671511826x10 - 12321166201x9 + 39843676753x8 - 39322573172x7 + 96931321441x6 - 93383072609x5 + 163068261008x4 - 47326599591x3 + 119652295787x2 + 25984132239x + 24797115841 \( 3^{14}\cdot 5^{21}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.28.8649266893998089480085334923884882761653761146262454088937777.1 x28 - 3x27 - 90x26 + 251x25 + 3319x24 - 8554x23 - 66698x22 + 158075x21 + 814194x20 - 1759929x19 - 6351581x18 + 12347113x17 + 32407795x16 - 55419172x15 - 108806380x14 + 158408220x13 + 238211940x12 - 281263173x11 - 332007770x10 + 294247369x9 + 283623445x8 - 164124215x7 - 141255320x6 + 39437768x5 + 37970686x4 - 617338x3 - 4146895x2 - 804372x - 43367 \( 17^{21}\cdot 29^{24} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.28.12638588217709750986410836410788356243350663111637823486328125.1 x28 - x27 - 260x26 + 260x25 + 30277x24 - 30277x23 - 2083823x22 + 2083823x21 + 94192291x20 - 94192291x19 - 2938505300x18 + 2938505300x17 + 64703836621x16 - 64703836621x15 - 1010545858331x14 + 1010545858331x13 + 11086013209879x12 - 11086013209879x11 - 83267147522159x10 + 83267147522159x9 + 408362479450039x8 - 408362479450039x7 - 1200607208822609x6 + 1200607208822609x5 + 1780718978270827x4 - 1780718978270827x3 - 799274837483108x2 + 799274837483108x - 135847856289239 \( 5^{14}\cdot 7^{14}\cdot 29^{27} \) $C_{28}$ (as 28T1) n/a
28.28.13475904202904384157772520869472715740288000000000000000000000.1 x28 - 145x26 + 8555x24 - 272600x22 + 5210575x20 - 62582000x18 + 480954125x16 - 2365022500x14 + 7347186250x12 - 14139312500x10 + 16449434375x8 - 11274656250x6 + 4349546875x4 - 854140625x2 + 65703125 \( 2^{28}\cdot 5^{21}\cdot 29^{26} \) $C_{28}$ (as 28T1) $[2, 2]$ (GRH)
28.0.15909539583539461596949590009846202679084771957405055149146112.1 x28 + 116x26 + 5162x24 + 117160x22 + 1511944x20 + 11760544x18 + 56876888x16 + 173227904x14 + 331475104x12 + 392753728x10 + 281553344x8 + 117551616x6 + 26535232x4 + 2798848x2 + 107648 \( 2^{77}\cdot 29^{26} \) $C_{28}$ (as 28T1) n/a
28.28.15909539583539461596949590009846202679084771957405055149146112.1 x28 - 116x26 + 5162x24 - 117160x22 + 1511944x20 - 11760544x18 + 56876888x16 - 173227904x14 + 331475104x12 - 392753728x10 + 281553344x8 - 117551616x6 + 26535232x4 - 2798848x2 + 107648 \( 2^{77}\cdot 29^{26} \) $C_{28}$ (as 28T1) $[2]$ (GRH)
28.0.26011077544761738747855517343331362930821153062567249262964773.1 x28 - x27 + 51x26 - 64x25 + 310x24 - 1155x23 - 7876x22 - 36341x21 - 5884x20 - 28565x19 + 2289507x18 + 6735427x17 + 12889086x16 - 44127190x15 - 68765767x14 + 112739846x13 - 244119948x12 + 661911232x11 + 656858657x10 - 1574285300x9 + 36632420x8 - 3142097964x7 + 12498470472x6 - 11788049168x5 + 11576546984x4 - 220732122x3 - 16100534512x2 + 12497398748x + 15073109483 \( 13^{21}\cdot 29^{26} \) $C_{28}$ (as 28T1) $[2, 2, 2, 2, 1801972]$ (GRH)
28.28.40485042622025269417087481839880287486644411644458770751953125.1 x28 - 3x27 - 111x26 + 355x25 + 5014x24 - 16873x23 - 121463x22 + 430221x21 + 1739875x20 - 6558612x19 - 15281943x18 + 62805921x17 + 82351466x16 - 386151006x15 - 261479693x14 + 1531368941x13 + 426084076x12 - 3886142713x11 - 137358612x10 + 6204587325x9 - 603585672x8 - 6078001902x7 + 902850052x6 + 3489342686x5 - 463454290x4 - 1069073901x3 + 59014540x2 + 137225481x + 9342001 \( 5^{21}\cdot 7^{14}\cdot 29^{24} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.28.83709274472667248662717543234670163936409630856037139892578125.1 x28 - 7x27 - 91x26 + 623x25 + 3640x24 - 23205x23 - 85141x22 + 472657x21 + 1298689x20 - 5765676x19 - 13490477x18 + 43240799x17 + 95742934x16 - 195423844x15 - 451889985x14 + 487358557x13 + 1342231212x12 - 484759443x11 - 2289033110x10 - 289531417x9 + 1935821398x8 + 834820998x7 - 668407222x6 - 463370698x5 + 34038536x4 + 68490877x3 + 8311506x2 - 1013901x - 63209 \( 3^{14}\cdot 5^{21}\cdot 7^{48} \) $C_{28}$ (as 28T1) Trivial (GRH)
28.0.89245865645132062133059821789304344522517366724620268695771613.1 x28 - x27 + 4x26 - 20x25 + 110x24 + 544x23 - 1294x22 + 5613x21 + 45738x20 + 7993x19 - 127473x18 + 913848x17 + 1222711x16 - 5830816x15 + 905534x14 + 26658338x13 - 35698128x12 - 34599131x11 + 407111869x10 + 111504745x9 - 1148132126x8 + 383663419x7 + 2357319562x6 - 93877796x5 - 1271425197x4 - 977493727x3 - 474592366x2 + 529082650x + 493619587 \( 197^{27} \) $C_{28}$ (as 28T1) n/a
28.0.129662843111551841878714037360432823103337384758484270764976073.1 x28 - x27 + 59x26 - 64x25 + 1338x24 - 2583x23 + 18024x22 - 49859x21 + 201884x20 - 608973x19 + 2001244x18 - 5335265x17 + 17538561x16 - 32869029x15 + 105198385x14 - 175996687x13 + 432226710x12 - 906030787x11 + 1606739712x10 - 2466399578x9 + 6832621830x8 - 3024360615x7 + 14632734546x6 - 3903580904x5 + 14821845636x4 - 4978220620x3 + 4490511812x2 - 3736246457x + 805522987 \( 3^{14}\cdot 113^{27} \) $C_{28}$ (as 28T1) n/a
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