## Results (displaying matches 1-50 of 89) Next

Label Polynomial Discriminant Galois group Class group
25.5.190035222333323626806494766049.1 x25 - 4x24 + 4x23 + 5x22 - 20x21 + 18x20 + 19x19 - 28x18 - 2x16 + 2x15 - 28x14 - 29x13 + 120x12 + 59x11 - 112x10 - 35x9 + 16x8 - 23x7 + 29x6 + 32x5 - 21x4 - 12x3 + 7x2 + 2x - 1 $$7^{10}\cdot 11^{20}$$ $C_5\times D_5$ (as 25T3) Trivial (GRH)
25.5.722359806654877741268938522624.1 x25 - 3x24 + 4x23 - 7x22 + 5x21 - 6x20 + 28x19 - 37x18 + 24x17 + 60x15 - 133x14 + 74x13 + 37x12 - 24x11 - 112x10 + 155x9 - 56x8 - 45x7 + 51x6 - 17x5 + 3x4 - 3x3 + 3x - 1 $$2^{30}\cdot 11^{20}$$ $C_5\times D_5$ (as 25T3) Trivial (GRH)
25.5.9536743164062500000000000000000000.1 x25 - 5x24 + 10x23 - 10x22 + 17x20 - 25x19 + 10x18 + 55x17 - 150x16 + 156x15 - 100x14 + 115x13 - 60x12 - 175x11 + 208x10 + 70x9 - 80x8 - 70x7 - 25x6 + 20x5 + 15x4 + 15x3 + 10x2 - 1 $$2^{20}\cdot 5^{40}$$ $C_5\times D_5$ (as 25T3) Trivial (GRH)
25.5.39668558936237989671952184481937449.1 x25 - 3x24 + x23 - 3x22 + 19x21 - 17x20 - 8x19 - 27x18 + 13x17 + 72x16 + 7x15 + 58x14 - 37x13 - 186x12 + 151x11 - 314x10 + 404x9 - 330x8 + 297x7 - 201x6 + 123x5 - 65x4 + 32x3 - 18x2 + 7x - 1 $$3^{10}\cdot 31^{20}$$ $C_5\times D_5$ (as 25T3) Trivial (GRH)
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)
25.5.188919613181312032574569023867244773376.1 x25 - 2x24 - 2x23 - 10x22 + 33x21 + 5x20 - 6x19 - 115x18 - 16x17 + 168x16 + 250x15 - 16x14 + 291x13 - 1042x12 + 750x11 - 1666x10 + 1541x9 - 903x8 + 418x7 + 161x6 - 27x5 + 92x4 + 3x3 + 8x2 + 4x - 1 $$2^{20}\cdot 41^{20}$$ $C_5\times D_5$ (as 25T3) 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)
25.5.30047562514932432943626078739673704593849.1 x25 - 3x24 + x23 - 15x22 + 13x21 - 5x20 + 130x19 - 132x18 - 21x17 + 437x16 - 1713x15 + 747x14 + 4817x13 - 3107x12 - 7887x11 + 4826x10 + 5380x9 - 3452x8 + 864x7 - 1052x6 + 266x5 - 67x4 + 75x3 - 10x2 + 9x - 1 $$3^{10}\cdot 61^{20}$$ $C_5\times D_5$ (as 25T3) 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)
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