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Results (displaying all 42 matches)

Label Polynomial Discriminant Galois group Class group
24.0.1312855308850436212414726439933209.1 x24 - x + 1 \( 6361\cdot 61167766669\cdot 3374184647743911301 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.1354616244850132036483436505754343.1 x24 - x - 1 \( -\,101\cdot 2347\cdot 5714547093403974893094772369 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.350316121814615884196577198671824683008.1 x24 - 4x - 1 \( -\,2^{24}\cdot 1301\cdot 916880537\cdot 17504518859356095299 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.350317455550313237633498256909164085248.1 x24 - 2x - 1 \( -\,2^{24}\cdot 31\cdot 41\cdot 271\cdot 60621550560749490987423583 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.0.5243777181971717716963906410046849810432.1 x24 - 4x + 4 \( 2^{24}\cdot 787\cdot 11677\cdot 13863011\cdot 2453357022296255093 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.5944409425600790491662654025702232293376.1 x24 - 4x - 4 \( -\,2^{24}\cdot 173\cdot 1231\cdot 1663736950608410583747530797 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.0.10837870485757971821277186627921390862336.1 x24 - 2x + 2 \( 2^{24}\cdot 7\cdot 109\cdot 53165777879\cdot 15924556660524315773 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.0.11188186586692040208778648401394049193241.1 x24 - x + 2 \( 7\cdot 11777\cdot 45920781197\cdot 2955409859759798105958427 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.11538502729387044595975934243576773345280.1 x24 - 2x - 2 \( -\,2^{24}\cdot 5\cdot 67\cdot 2753\cdot 610126757\cdot 1222245568857186613 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.0.4786594593971226646376417850444128402601441.1 x24 - 3x + 3 \( 3^{24}\cdot 8147\cdot 5301617770571\cdot 392383198581553 \) $S_{24}$ (as 24T25000) $[2]$ (GRH)
24.2.5897260897369663197508269568271856664050951.1 x24 - 3x + 1 \( -\,3^{24}\cdot 205151\cdot 13244784701\cdot 7684607440855021 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.5897260900037134751208837817170019609738503.1 x24 - 3x - 1 \( -\,3^{25}\cdot 36151\cdot 192530109859296455766319771 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.5908449085310971482567180253156687218998535.1 x24 - 3x - 2 \( -\,3^{24}\cdot 5\cdot 11\cdot 265483\cdot 154229507\cdot 9289589167754417 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.0.125561775431862250597381650580016320510689280.1 x24 - 2x + 3 \( 2^{24}\cdot 5\cdot 1093\cdot 297427638587\cdot 4604325971243997318451 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.0.125562125747963184665769152041789793169020185.1 x24 - x + 3 \( 5\cdot 73019\cdot 92849\cdot 117957311\cdot 31401520670424842716043857 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.125562125748004945601768847865858503234841319.1 x24 - x - 3 \( -\,13\cdot 53\cdot 137\cdot 6991493\cdot 138367970479\cdot 1375033795802777653789 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.131459386646687464108127553646545086338825479.1 x24 - 3x - 3 \( -\,3^{24}\cdot 13\cdot 113\cdot 3889\cdot 11933731\cdot 235812503\cdot 28952007143 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.5877318055778181337911903212107230990401798144.1 x24 - 4x + 2 \( -\,2^{48}\cdot 7\cdot 19973360963\cdot 149344836212483380939 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.5877329243963455174643261554543217658011058176.1 x24 - 4x + 1 \( -\,2^{48}\cdot 20880467999843173653016711293671 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.5877340432151396482928320465228102488566005760.1 x24 - 4x - 2 \( -\,2^{48}\cdot 5\cdot 53\cdot 4104279709\cdot 19198099166735406971 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.6002891369712772975553880838621490887685832704.1 x24 - 4x - 3 \( -\,2^{48}\cdot 13\cdot 6961573\cdot 235651364354358546904391 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.0.23463327832864870281103511633608607075242344448.1 x24 - 2x + 4 \( 2^{22}\cdot 19\cdot 294425962258199268656072009658921481123 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.23463328008022931188371705308295510989087965184.1 x24 - 2x - 4 \( -\,2^{22}\cdot 372336599\cdot 227464000434709\cdot 66051290459897581 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.25399446258911415838226769691421221996306798583.1 x24 - 5x + 2 \( -\,144848223006701985217\cdot 175352142619907793902441399 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.0.93847414420876899539976075330115515190523724537.1 x24 - 3x + 4 \( 3^{24}\cdot 19\cdot 41\cdot 195136097417\cdot 2185934406093696137939 \) $S_{24}$ (as 24T25000) $[2]$ (GRH)
24.0.93853311681775582058482434035896201773627708697.1 x24 - x + 4 \( 11\cdot 41\cdot 1771657\cdot 3075314907797831527\cdot 38194763189910060973 \) $S_{24}$ (as 24T25000) $[2]$ (GRH)
24.2.93853311681775623819418433731720270483693529831.1 x24 - x - 4 \( -\,31\cdot 297479359\cdot 9490442482783\cdot 1072369884939912452511833 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.1244447315749097999580486154506246489419913303623.1 x24 - 5x + 3 \( -\,251\cdot 1237\cdot 4008049663106983543853643323251042682688529 \) $S_{24}$ (as 24T25000) $[2]$ (GRH)
24.2.1244572877874844649909843073222075864486642390599.1 x24 - 5x + 1 \( -\,1244572877874844649909843073222075864486642390599 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.1244572877874847317381396773790324762649588078151.1 x24 - 5x - 1 \( -\,59\cdot 48589\cdot 40950871734274681\cdot 10601497338051375177525121 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.1244572889063032591218128132132760749317197338183.1 x24 - 5x - 2 \( -\,83\cdot 32797\cdot 20931701251\cdot 1505093099737\cdot 14512433137983197059 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.1244698440000593967710753692506154137716317165127.1 x24 - 5x - 3 \( -\,13\cdot 281\cdot 2213\cdot 2909\cdot 931789\cdot 56803063496769892854311293073143 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.1338426189556621586584570357390008549696775853639.1 x24 - 5x - 4 \( -\,31\cdot 71\cdot 7507597\cdot 80997838857251733873344199342894357787 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.0.1766595949268585569254370315716256364340207011697.1 x24 - 3x + 5 \( 3^{24}\cdot 50404800560027\cdot 124095266579974970283331 \) $S_{24}$ (as 24T25000) $[2]$ (GRH)
24.0.3974842360081963176218442703162656548043077189632.1 x24 - 2x + 5 \( 2^{22}\cdot 977\cdot 969985944363810553940790264038531184329 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.0.14654796562803322843042687276493799686431884765625.1 x24 - 5x + 5 \( 5^{23}\cdot 11\cdot 5225198203\cdot 21388200184274766461077 \) $S_{24}$ (as 24T25000) $[4]$ (GRH)
24.0.15893492111434204037777887088161332333260516098048.1 x24 - 4x + 5 \( 2^{48}\cdot 1211669\cdot 7338719\cdot 6350022778305321759403 \) $S_{24}$ (as 24T25000) $[2]$ (GRH)
24.0.15899369440678168805807839200152087965644967089433.1 x24 - x + 5 \( 75883\cdot 209524787378967210123582873636415112286611851 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.15899369440678168847568775199847912034355032910567.1 x24 - x - 5 \( -\,7\cdot 29\cdot 3359\cdot 16263817\cdot 927461970881683907\cdot 1545806997710456209 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.15899369441028484948502843587349373807827691241472.1 x24 - 2x - 5 \( -\,2^{24}\cdot 7\cdot 14327\cdot 9449453755498647381067194927004507303 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.15899375337939067530087281558553692720938136894727.1 x24 - 3x - 5 \( -\,3^{24}\cdot 7\cdot 211\cdot 195518711\cdot 8911198202359\cdot 21875854421579 \) $S_{24}$ (as 24T25000) Trivial (GRH)
24.2.17143942318553014810333927123506200313568115234375.1 x24 - 5x - 5 \( -\,5^{23}\cdot 7\cdot 43\cdot 12491\cdot 382504803285481476130151021 \) $S_{24}$ (as 24T25000) $[2]$ (GRH)


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