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Label Polynomial Discriminant Galois group Class group
25.1.87484106193162239109441451974421849.1 x25 - x - 1 \( 10667\cdot 282401201\cdot 925997749\cdot 31362479733103 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.90151577746862807358339614920109401.1 x25 + x - 1 \( 13\cdot 2957\cdot 8969\cdot 6212881\cdot 42086382270382828249 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.12315009240091155769832362607858830802944.1 x25 - x - 2 \( 2^{24}\cdot 739\cdot 12239\cdot 2507149\cdot 272308609\cdot 118872926969 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.44752835248132002847029475633529775680857.1 x25 + 2x - 1 \( 2377\cdot 5147\cdot 460493604849521\cdot 7943531120919741043 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.1400610626524185559330987516514007343169536.1 x25 - 4x - 4 \( 2^{24}\cdot 7\cdot 19\cdot 2579\cdot 1081796927611\cdot 224982529004839973 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.1445363372954475592165493758257003671584768.1 x25 - 2x - 2 \( 2^{24}\cdot 86150370416311954984992370501578073 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.1490116119384765545503152796609155866558464.1 x25 - x - 4 \( 2^{24}\cdot 389\cdot 766126533933601\cdot 298023226053735461 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.1490116119384765625000000000000000000000000.1 x25 - 2 \( 2^{24}\cdot 5^{50} \) $D_{25}.C_{10}$ (as 25T40) Trivial (GRH)
25.1.1534868865815055657834506241742996328415232.1 x25 + 2x - 2 \( 2^{24}\cdot 11\cdot 83\cdot 139\cdot 177347\cdot 386150417\cdot 10526535234089689 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.1579621612245345690669012483485992656830464.1 x25 + 4x - 4 \( 2^{24}\cdot 8054869\cdot 11688928159776857914348061941 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.3.1130059131643038744233908476350526800370111143.1 x25 - 3x - 1 \( -\,131\cdot 13259\cdot 3933670000864773133\cdot 165394543991056112099 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.1130059131820674428173933522818307867264642393.1 x25 + 3x - 1 \( 7\cdot 14691751\cdot 10988276266833335135516653653549317449 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.1131549247851241351828920999584417333817376768.1 x25 + 3x - 2 \( 2^{24}\cdot 7\cdot 1777\cdot 19854823\cdot 273087660366642710101853209 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.23954722807101488252509025512220640191817388857.1 x25 - 3x - 3 \( 3^{24}\cdot 102715785599666749\cdot 825740991458053453 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.25084737186086914548680112005563314529306350393.1 x25 - 2x - 3 \( 3^{24}\cdot 4213063\cdot 105716820911311\cdot 199414803057521 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.25084781938832011102936096227680608444161921849.1 x25 - x - 3 \( 3^{25}\cdot 2351\cdot 126764421589739\cdot 99341097532143287 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.25084781938833344838712946511805057525634765625.1 x25 - 3 \( 3^{24}\cdot 5^{50} \) $D_{25}.C_{10}$ (as 25T40) Trivial (GRH)
25.1.25084781938834678574489796795929506607107609401.1 x25 + x - 3 \( 3^{24}\cdot 13\cdot 2298962364929\cdot 2971837118443792802173 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.26214841070565201424916867511389474859452142393.1 x25 + 3x - 3 \( 3^{24}\cdot 7\cdot 67\cdot 197908420683503999162553897368437 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.25.338813178901720135627329000271856784820556640625.1 x25 - 50x23 + 1025x21 - 11250x19 - 125x18 + 72525x17 + 3100x16 - 283885x15 - 28375x14 + 674550x13 + 121800x12 - 942450x11 - 261005x10 + 718625x9 + 269475x8 - 258425x7 - 117125x6 + 33010x5 + 16625x4 - 1100x3 - 650x2 - 50x - 1 \( 5^{68} \) $C_{25}$ (as 25T1) Trivial (GRH)
25.25.1269734648531914468903714880493455422104626762401.1 x25 - x24 - 48x23 + 43x22 + 946x21 - 752x20 - 9993x19 + 6962x18 + 62052x17 - 37341x16 - 234195x15 + 119366x14 + 538390x13 - 226505x12 - 737819x11 + 249907x10 + 571793x9 - 151052x8 - 224456x7 + 42136x6 + 35494x5 - 2561x4 - 1633x3 + 57x2 + 19x - 1 \( 101^{24} \) $C_{25}$ (as 25T1) Trivial (GRH)
25.3.1501651496792290262257581942140931778058569908224.1 x25 - 4x - 2 \( -\,2^{24}\cdot 7\cdot 11\cdot 173\cdot 431\cdot 2029499\cdot 218979707\cdot 3166728751\cdot 11077240423 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.3.1501652986908320829181236929617697887525122642599.1 x25 - 4x - 1 \( -\,7\cdot 53\cdot 3847\cdot 1012717\cdot 140141898521\cdot 847814229733\cdot 8744131694867 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.1501652986908498464865176954664165668592017173849.1 x25 + 4x - 1 \( 38117394317861\cdot 39395478462830178925440533821507109 \) $S_{25}$ (as 25T211) $[2]$ (GRH)
25.1.1501654477024529031788831942140931778058569908224.1 x25 + 4x - 2 \( 2^{24}\cdot 29\cdot 11136449\cdot 3349154609\cdot 82750417248561907056701 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.1526737768847242991861919888652736835584204673849.1 x25 + 4x - 3 \( 3^{24}\cdot 5405729825109676014849118774568643929 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.25.6118625560089276488733958103694021701812744140625.1 x25 - 5x24 - 60x23 + 290x22 + 1490x21 - 6836x20 - 20165x19 + 85905x18 + 165640x17 - 634300x16 - 876915x15 + 2860245x14 + 3104180x13 - 7920370x12 - 7429455x11 + 13143679x10 + 11662900x9 - 12187240x8 - 11034960x7 + 5336420x6 + 5352834x5 - 670950x4 - 973795x3 - 7365x2 + 53905x + 4751 \( 5^{40}\cdot 11^{20} \) $C_5^2$ (as 25T2) Trivial (GRH)
25.1.6249999988811813392427491791373439564250917896192.1 x25 - 2x - 4 \( 2^{46}\cdot 13751\cdot 431377\cdot 76457289497\cdot 195834881900887 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.6250000011188186607572508208626560435749082103808.1 x25 + 2x - 4 \( 2^{46}\cdot 88817842129006217640672221714148697 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.3.15898366049400615492894758682139527797698974609375.1 x25 - 5x - 3 \( -\,3^{24}\cdot 5^{23}\cdot 409\cdot 11545399656835619219 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.24998869940868268143413796079000415582666182623232.1 x25 - 3x - 4 \( 2^{48}\cdot 4813\cdot 18452904050171902358151509294269 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.25000000000000001333735776850284124449081472843776.1 x25 + x - 4 \( 2^{48}\cdot 13\cdot 5969653\cdot 175300357\cdot 544585241\cdot 11988341597 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.44167702310988117112449599216279089450836181640625.1 x25 + 5x - 3 \( 3^{23}\cdot 5^{25}\cdot 39301\cdot 40055507545130507 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.99371059376767585012993326250000000000000000000000.1 x25 + 5x - 2 \( 2^{22}\cdot 5^{25}\cdot 79496847501414068010394661 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.108009270762295279786326375965420843490676304895049.1 x25 - 4x - 5 \( 1663\cdot 6971\cdot 492251\cdot 268235921\cdot 264590126291\cdot 266683732590664933 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.3.397484234526838101282442055000000000000000000000000.1 x25 - 5x - 2 \( -\,2^{24}\cdot 5^{25}\cdot 11\cdot 7226986082306147296044401 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.3.397484236016954131849365709987476766109466552734375.1 x25 - 5x - 1 \( -\,5^{25}\cdot 131\cdot 311\cdot 542960645459\cdot 60293398488673829 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.397484236016954309485049650012523233890533447265625.1 x25 + 5x - 1 \( 5^{25}\cdot 2389\cdot 83136689749\cdot 6715230479961176141 \) $S_{25}$ (as 25T211) $[2]$ (GRH)
25.1.422484236016954220667207680000000000000000000000000.1 x25 + 5x - 4 \( 2^{48}\cdot 5^{25}\cdot 23\cdot 29\cdot 35541523\cdot 212450981 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.25.451947074858779414061989271610218361957576637330801.1 x25 - 84x23 - 66x22 + 2826x21 + 4072x20 - 48221x19 - 96798x18 + 441736x17 + 1150294x16 - 2099287x15 - 7477592x14 + 3886133x13 + 27115460x12 + 5785190x11 - 52524876x10 - 37286821x9 + 46080424x8 + 57112611x7 - 6485584x6 - 31826729x5 - 10040832x4 + 4451908x3 + 3356864x2 + 718016x + 51424 \( 11^{20}\cdot 31^{20} \) $C_5^2$ (as 25T2) Trivial (GRH)
25.1.4896471684322422898509807949247762262821197509765625.1 x25 - 5x - 5 \( 5^{25}\cdot 269\cdot 61077444673428329079290056567321 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.5293954790280245387320429425326762678403863692388857.1 x25 - 3x - 5 \( 35846147\cdot 76867751\cdot 1921292874428364109762304476450296181 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.5293955920294624372746725596413256021078201181350393.1 x25 - 2x - 5 \( 48407\cdot 109363437525453433857638886863744004401805548399 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.5293955920339377117843279852397478138372116036921849.1 x25 - x - 5 \( 47\cdot 8641\cdot 6952808251\cdot 10464775307854799\cdot 179154737750394843163 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.5293955920339377119177015629247762262821197509765625.1 x25 - 5 \( 5^{74} \) $D_{25}.C_{10}$ (as 25T40) Trivial (GRH)
25.1.5293955920339377120510751406098046387270278982609401.1 x25 + x - 5 \( 13\cdot 89\cdot 557\cdot 1597\cdot 2058253\cdot 8953100495557\cdot 279135218041860532289677 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.5293955920384129865607305662082268504564193838180857.1 x25 + 2x - 5 \( 137\cdot 3187\cdot 319234466347\cdot 37981133025939497114459508407014049 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.5293957050398508851033601833168761847238531327142393.1 x25 + 3x - 5 \( 7\cdot 79\cdot 367\cdot 26084902515378139802383835670525209766093940543 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.1.5691440156356331339844223309247762262821197509765625.1 x25 + 5x - 5 \( 5^{25}\cdot 127\cdot 390538849\cdot 963885163\cdot 399465067602449 \) $S_{25}$ (as 25T211) Trivial (GRH)
25.25.19744527036368077698033828496963106435582783749713601.1 x25 - x24 - 72x23 + 161x22 + 1991x21 - 6935x20 - 23789x19 + 131523x18 + 59219x17 - 1219472x16 + 1274267x15 + 5134575x14 - 12138942x13 - 4263646x12 + 39567816x11 - 30337248x10 - 42180110x9 + 75903945x8 - 9872226x7 - 55689151x6 + 38006340x5 + 5737119x4 - 14814116x3 + 5029783x2 - 190198x - 111103 \( 151^{24} \) $C_{25}$ (as 25T1) Trivial (GRH)

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