LMFDB - Global number field search results

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Results (displaying all 28 matches)

Label	Polynomial	Discriminant	Galois group	Class group
39.1.111519235660091198557729019736032936151076617850366100945341655.1	x³⁹ - x - 1	$ -\,5\cdot 277\cdot 182969\cdot 824281\cdot 240883723\cdot 166682962769\cdot 13296842994412570838812157821 $	$S_{39}$ (as 39T306)	Trivial (GRH)
39.1.113671059264051186521849878241745183709307592588026933074562263.1	x³⁹ + x - 1	$ -\,2273\cdot 50009264964386795654135450172347199168195157319853468136631 $	$S_{39}$ (as 39T306)	Trivial (GRH)
39.1.591488768481811428963044547642351525741394155127341131468704186081053911.1	x³⁹ + 2x - 1	$ -\,15377\cdot 121075963\cdot 2526314190511031\cdot 125756254669634227064751087937702671316288931 $	$S_{39}$ (as 39T306)	n/a
39.1.29766940929686730469453404466315757751925974444091458872611472369770299392.1	x³⁹ - 4x - 4	$ -\,2^{38}\cdot 7\cdot 379\cdot 21067\cdot 725149\cdot 2449913\cdot 4899001\cdot 8078297\cdot 27558093317186226614976151637 $	$S_{39}$ (as 39T306)	n/a
39.1.30358429698055946750954377821418319828678479539288607898860980038841401344.1	x³⁹ - 2x - 2	$ -\,2^{38}\cdot 109\cdot 733\cdot 2281571\cdot 39359244317586317715611\cdot 15393176755842820625535054943 $	$S_{39}$ (as 39T306)	n/a
39.1.30949918466424087120653371182538821476178128510706641437741657291847892992.1	x³⁹ - x - 2	$ -\,2^{39}\cdot 6984751662407\cdot 51339275011007\cdot 156996140889988820454187313273455591 $	$S_{39}$ (as 39T306)	n/a
39.1.30949918466425163032455347262376548002357192825523150128829529791279710855.1	x³⁹ - x - 4	$ -\,5\cdot 7\cdot 41\cdot 659\cdot 2251\cdot 31793\cdot 2678539\cdot 118932731307271627\cdot 1435541730552723797020749364164204653 $	$S_{39}$ (as 39T306)	n/a
39.1.31541407234794379313956324531623443982183489729682905951359995376983605248.1	x³⁹ + 2x - 2	$ -\,2^{38}\cdot 248461\cdot 12252886339\cdot 405761380291\cdot 92891053318731020670026583775103003 $	$S_{39}$ (as 39T306)	n/a
39.1.5184532600841803944263915674895587210566658055846276632709425783895556943647.1	x³⁹ + 3x - 1	$ -\,3^{39}\cdot 14058971690735203\cdot 72182134610038326703\cdot 1260658330770821965649 $	$S_{39}$ (as 39T306)	n/a
39.3.4360191917307956891935658158444803764507661447188598787724416645863129369703209.1	x³⁹ - 3x - 1	$ 3^{40}\cdot 113\cdot 28201\cdot 37423\cdot 9699563\cdot 158105977\cdot 1960981103314503221804260659585541 $	$S_{39}$ (as 39T306)	n/a
39.1.4360222867226423429693838075867172825179015867062293203673446975547354292158464.1	x³⁹ + 3x - 2	$ -\,2^{39}\cdot 3^{39}\cdot 11\cdot 17\cdot 10465700849318807861983225793753454091541088157 $	$S_{39}$ (as 39T306)	n/a
39.1.147739156433474749315843702498682821120110181270784796708171654921655559297397183.1	x³⁹ - 3x - 3	$ -\,3^{39}\cdot 43\cdot 389\cdot 7503689519\cdot 5584497575731\cdot 52010336227194448203036429672690983 $	$S_{39}$ (as 39T306)	n/a
39.1.152099348350782706321450419921178811406467720959718579205203664155545621741662655.1	x³⁹ + x - 3	$ -\,5\cdot 378559\cdot 2269473744073\cdot 35407772863339269610949345166405887211353254003387332772693733 $	$S_{39}$ (as 39T306)	n/a
39.1.156459540268090663324905313739714813728704402142940114144004698651774852056707519.1	x³⁹ + 3x - 3	$ -\,3^{39}\cdot 7\cdot 1570897\cdot 3510971995405936089410206754104651560391127681333166283 $	$S_{39}$ (as 39T306)	n/a
39.3.325174389229479288854843362066155701042596080647544598108539007844370930854873006080.1	x³⁹ - 4x - 2	$ 2^{38}\cdot 5\cdot 307\cdot 2957\cdot 227299\cdot 2015359939\cdot 126713808485393773489\cdot 4489962387285740477847287937259 $	$S_{39}$ (as 39T306)	n/a
39.1.325326488608779990027588899606730251036541369844682445198450852946268133768462561727.1	x³⁹ + 4x - 3	$ -\,11\cdot 383\cdot 258901833901\cdot 46102253730493\cdot 6469499493992647369095124715187091139195245766876020603 $	$S_{39}$ (as 39T306)	n/a
39.1.2126862202034452915901730414063261730179692260123929310064681767016944856455727546368.1	x³⁹ - 2x - 4	$ -\,2^{74}\cdot 7\cdot 587\cdot 18500401851230653445409506417\cdot 1481161349950452069806304520009 $	$S_{39}$ (as 39T306)	n/a
39.1.2126862202034748660285915022204012216857243541162305562612280341530069610290263097344.1	x³⁹ + 2x - 4	$ -\,2^{74}\cdot 67\cdot 127\cdot 1705859\cdot 46716239\cdot 166046661282933582784622192068215692727450449 $	$S_{39}$ (as 39T306)	n/a
39.1.8507444447946485844418286341728927378077567305462033667695206300572163873845601632256.1	x³⁹ - 3x - 4	$ -\,2^{38}\cdot 3^{40}\cdot 2545710992654683535902750385463210805291971108293154349 $	$S_{39}$ (as 39T306)	n/a
39.1.8507448808138403152375291948446349874067853663001722601477703332581397763908045897728.1	x³⁹ + x - 4	$ -\,2^{38}\cdot 11\cdot 2813628951493196639314123190060474164409525131222578520126495056776845067 $	$S_{39}$ (as 39T306)	n/a
39.1.40113869709381128552180746821850510752089597302511683056027631106471306712928407781376.1	x³⁹ + 5x - 4	$ -\,2^{38}\cdot 7\cdot 68315637157987\cdot 305166292278799543829975774982369331856821036434790372619681 $	$S_{39}$ (as 39T306)	n/a
39.3.1957072166951536895904481190802993016887123856431051011110940069807894780803482990048041.1	x³⁹ - 5x - 1	$ 7927\cdot 100829867\cdot 421590019\cdot 318322193083061\cdot 332220892743431\cdot 54919251341659036283763722464180590181 $	$S_{39}$ (as 39T306)	n/a
39.1.4551319558799813191937857662952947174343134462233413202747696872159030254011873008112727.1	x³⁹ + 3x - 5	$ -\,3^{37}\cdot 151\cdot 2609\cdot 99918475519\cdot 325937638315547\cdot 787806508996424549807457661706822615567 $	$S_{39}$ (as 39T306)	n/a
39.1.39004803857886589914228280658647578469613897459583108388651613131514750421047210693359375.1	x³⁹ - 5x - 5	$ -\,5^{38}\cdot 818093\cdot 1607563\cdot 82561960451\cdot 987432138341051629144601850338133733171 $	$S_{39}$ (as 39T306)	n/a
39.1.40961876020477934892824804957514913328056217551506497952573954413598228555987564313704207.1	x³⁹ - 3x - 5	$ -\,3^{40}\cdot 101\cdot 2063\cdot 3701\cdot 268997\cdot 2960047\cdot 5487113197832234029051190326614909234836995144171 $	$S_{39}$ (as 39T306)	n/a
39.1.40961876024838126218643993592829437447598858753241531636146517934365724171539541622257423.1	x³⁹ - 2x - 5	$ -\,23\cdot 139\cdot 18119\cdot 1044213497\cdot 677194894382274307014809509780229502720468505732082805656194530298448213 $	$S_{39}$ (as 39T306)	n/a
39.1.40961876024838127401621530331262000449545568958365685141156708328663776670554879764461327.1	x³⁹ + 2x - 5	$ -\,229\cdot 1987\cdot 142963\cdot 1366812637\cdot 810114948493\cdot 156226602792479\cdot 2528280980108249089\cdot 1439749307724964790152813 $	$S_{39}$ (as 39T306)	n/a
39.1.42918948191789663706037243265443859427530530252024108388651613131514750421047210693359375.1	x³⁹ + 5x - 5	$ -\,5^{38}\cdot 11\cdot 18424603\cdot 298789856935478924630711\cdot 1948194133336354989156327267833 $	$S_{39}$ (as 39T306)	n/a

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Results (displaying all 28 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

Label	Polynomial	Discriminant	Galois group	Class group
39.1.111519235660091198557729019736032936151076617850366100945341655.1	x³⁹ - x - 1	\( -\,5\cdot 277\cdot 182969\cdot 824281\cdot 240883723\cdot 166682962769\cdot 13296842994412570838812157821 \)	$S_{39}$ (as 39T306)	Trivial (GRH)
39.1.113671059264051186521849878241745183709307592588026933074562263.1	x³⁹ + x - 1	\( -\,2273\cdot 50009264964386795654135450172347199168195157319853468136631 \)	$S_{39}$ (as 39T306)	Trivial (GRH)
39.1.591488768481811428963044547642351525741394155127341131468704186081053911.1	x³⁹ + 2x - 1	\( -\,15377\cdot 121075963\cdot 2526314190511031\cdot 125756254669634227064751087937702671316288931 \)	$S_{39}$ (as 39T306)	n/a
39.1.29766940929686730469453404466315757751925974444091458872611472369770299392.1	x³⁹ - 4x - 4	\( -\,2^{38}\cdot 7\cdot 379\cdot 21067\cdot 725149\cdot 2449913\cdot 4899001\cdot 8078297\cdot 27558093317186226614976151637 \)	$S_{39}$ (as 39T306)	n/a
39.1.30358429698055946750954377821418319828678479539288607898860980038841401344.1	x³⁹ - 2x - 2	\( -\,2^{38}\cdot 109\cdot 733\cdot 2281571\cdot 39359244317586317715611\cdot 15393176755842820625535054943 \)	$S_{39}$ (as 39T306)	n/a
39.1.30949918466424087120653371182538821476178128510706641437741657291847892992.1	x³⁹ - x - 2	\( -\,2^{39}\cdot 6984751662407\cdot 51339275011007\cdot 156996140889988820454187313273455591 \)	$S_{39}$ (as 39T306)	n/a
39.1.30949918466425163032455347262376548002357192825523150128829529791279710855.1	x³⁹ - x - 4	\( -\,5\cdot 7\cdot 41\cdot 659\cdot 2251\cdot 31793\cdot 2678539\cdot 118932731307271627\cdot 1435541730552723797020749364164204653 \)	$S_{39}$ (as 39T306)	n/a
39.1.31541407234794379313956324531623443982183489729682905951359995376983605248.1	x³⁹ + 2x - 2	\( -\,2^{38}\cdot 248461\cdot 12252886339\cdot 405761380291\cdot 92891053318731020670026583775103003 \)	$S_{39}$ (as 39T306)	n/a
39.1.5184532600841803944263915674895587210566658055846276632709425783895556943647.1	x³⁹ + 3x - 1	\( -\,3^{39}\cdot 14058971690735203\cdot 72182134610038326703\cdot 1260658330770821965649 \)	$S_{39}$ (as 39T306)	n/a
39.3.4360191917307956891935658158444803764507661447188598787724416645863129369703209.1	x³⁹ - 3x - 1	\( 3^{40}\cdot 113\cdot 28201\cdot 37423\cdot 9699563\cdot 158105977\cdot 1960981103314503221804260659585541 \)	$S_{39}$ (as 39T306)	n/a
39.1.4360222867226423429693838075867172825179015867062293203673446975547354292158464.1	x³⁹ + 3x - 2	\( -\,2^{39}\cdot 3^{39}\cdot 11\cdot 17\cdot 10465700849318807861983225793753454091541088157 \)	$S_{39}$ (as 39T306)	n/a
39.1.147739156433474749315843702498682821120110181270784796708171654921655559297397183.1	x³⁹ - 3x - 3	\( -\,3^{39}\cdot 43\cdot 389\cdot 7503689519\cdot 5584497575731\cdot 52010336227194448203036429672690983 \)	$S_{39}$ (as 39T306)	n/a
39.1.152099348350782706321450419921178811406467720959718579205203664155545621741662655.1	x³⁹ + x - 3	\( -\,5\cdot 378559\cdot 2269473744073\cdot 35407772863339269610949345166405887211353254003387332772693733 \)	$S_{39}$ (as 39T306)	n/a
39.1.156459540268090663324905313739714813728704402142940114144004698651774852056707519.1	x³⁹ + 3x - 3	\( -\,3^{39}\cdot 7\cdot 1570897\cdot 3510971995405936089410206754104651560391127681333166283 \)	$S_{39}$ (as 39T306)	n/a
39.3.325174389229479288854843362066155701042596080647544598108539007844370930854873006080.1	x³⁹ - 4x - 2	\( 2^{38}\cdot 5\cdot 307\cdot 2957\cdot 227299\cdot 2015359939\cdot 126713808485393773489\cdot 4489962387285740477847287937259 \)	$S_{39}$ (as 39T306)	n/a
39.1.325326488608779990027588899606730251036541369844682445198450852946268133768462561727.1	x³⁹ + 4x - 3	\( -\,11\cdot 383\cdot 258901833901\cdot 46102253730493\cdot 6469499493992647369095124715187091139195245766876020603 \)	$S_{39}$ (as 39T306)	n/a
39.1.2126862202034452915901730414063261730179692260123929310064681767016944856455727546368.1	x³⁹ - 2x - 4	\( -\,2^{74}\cdot 7\cdot 587\cdot 18500401851230653445409506417\cdot 1481161349950452069806304520009 \)	$S_{39}$ (as 39T306)	n/a
39.1.2126862202034748660285915022204012216857243541162305562612280341530069610290263097344.1	x³⁹ + 2x - 4	\( -\,2^{74}\cdot 67\cdot 127\cdot 1705859\cdot 46716239\cdot 166046661282933582784622192068215692727450449 \)	$S_{39}$ (as 39T306)	n/a
39.1.8507444447946485844418286341728927378077567305462033667695206300572163873845601632256.1	x³⁹ - 3x - 4	\( -\,2^{38}\cdot 3^{40}\cdot 2545710992654683535902750385463210805291971108293154349 \)	$S_{39}$ (as 39T306)	n/a
39.1.8507448808138403152375291948446349874067853663001722601477703332581397763908045897728.1	x³⁹ + x - 4	\( -\,2^{38}\cdot 11\cdot 2813628951493196639314123190060474164409525131222578520126495056776845067 \)	$S_{39}$ (as 39T306)	n/a
39.1.40113869709381128552180746821850510752089597302511683056027631106471306712928407781376.1	x³⁹ + 5x - 4	\( -\,2^{38}\cdot 7\cdot 68315637157987\cdot 305166292278799543829975774982369331856821036434790372619681 \)	$S_{39}$ (as 39T306)	n/a
39.3.1957072166951536895904481190802993016887123856431051011110940069807894780803482990048041.1	x³⁹ - 5x - 1	\( 7927\cdot 100829867\cdot 421590019\cdot 318322193083061\cdot 332220892743431\cdot 54919251341659036283763722464180590181 \)	$S_{39}$ (as 39T306)	n/a
39.1.4551319558799813191937857662952947174343134462233413202747696872159030254011873008112727.1	x³⁹ + 3x - 5	\( -\,3^{37}\cdot 151\cdot 2609\cdot 99918475519\cdot 325937638315547\cdot 787806508996424549807457661706822615567 \)	$S_{39}$ (as 39T306)	n/a
39.1.39004803857886589914228280658647578469613897459583108388651613131514750421047210693359375.1	x³⁹ - 5x - 5	\( -\,5^{38}\cdot 818093\cdot 1607563\cdot 82561960451\cdot 987432138341051629144601850338133733171 \)	$S_{39}$ (as 39T306)	n/a
39.1.40961876020477934892824804957514913328056217551506497952573954413598228555987564313704207.1	x³⁹ - 3x - 5	\( -\,3^{40}\cdot 101\cdot 2063\cdot 3701\cdot 268997\cdot 2960047\cdot 5487113197832234029051190326614909234836995144171 \)	$S_{39}$ (as 39T306)	n/a
39.1.40961876024838126218643993592829437447598858753241531636146517934365724171539541622257423.1	x³⁹ - 2x - 5	\( -\,23\cdot 139\cdot 18119\cdot 1044213497\cdot 677194894382274307014809509780229502720468505732082805656194530298448213 \)	$S_{39}$ (as 39T306)	n/a
39.1.40961876024838127401621530331262000449545568958365685141156708328663776670554879764461327.1	x³⁹ + 2x - 5	\( -\,229\cdot 1987\cdot 142963\cdot 1366812637\cdot 810114948493\cdot 156226602792479\cdot 2528280980108249089\cdot 1439749307724964790152813 \)	$S_{39}$ (as 39T306)	n/a
39.1.42918948191789663706037243265443859427530530252024108388651613131514750421047210693359375.1	x³⁹ + 5x - 5	\( -\,5^{38}\cdot 11\cdot 18424603\cdot 298789856935478924630711\cdot 1948194133336354989156327267833 \)	$S_{39}$ (as 39T306)	n/a