Regulators of quartic fields

$D$

$k$

$R_K$

117

1:

0.5435350724978695498926364006192337217181767537693045902578565450006843770349604030842035014653078917

comment: $a^4-a^3-a^2+a+1=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.117.1

125

1:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4-a^3+a^2-a+1=0$; signature $(0,2)$; $C_4$ (4T1); $h_K=1$; $w_K=10$; LMFDB 4.0.125.1; $K=\mathbb{Q}(\zeta_5)$

144

1:

1.316957896924816708625046347307968444026981971467516479768472256920460185416443976074219013450101784

comment: $a^4-a^2+1=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=12$; LMFDB 4.0.144.1; $K=\mathbb{Q}(\zeta_{12})$

189

1:

0.8625546276620610321856927944750238565076360622524832105671568406093502650613837854309720433466247532

comment: $a^4-a^3+2a+1=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.189.1

225

1:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4-a^3+2a^2+a+1=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=6$; LMFDB 4.0.225.1

229

1:

0.3373778035715619014381982404044614505035293766460445399946133389725856960148538114465710607840662889

comment: $a^4-a+1=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.229.1

256

1:

1.762747174039086050465218649959584618056320656523270821506591217306754368444052175667413783820512086

comment: $a^4+1=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=8$; LMFDB 4.0.256.1; $K=\mathbb{Q}(\zeta_8)$

257

1:

0.4421378287316384595584503617785560502498667018373349568907998184867266671127156086440823217405674868

comment: $a^4+a^2-a+1=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.257.1

272

1:

0.7328576759736452608886724437653071523304809088580241617706403996206211440598829988619985216505280786

comment: $a^4+a^2-2a+1=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.272.1

-275

1:

0.3691843735753683371008152140364559036556839002675866641652993740942452976192172287005082445600148876

comment: $a^4-a^3+2a-1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.275.1

-283

1:

0.3781993324595690556328400804919704513160355456739602971804382064326160896479070594271412432368433871

comment: $a^4-a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.283.1

320

1:

1.061275061905035652033018916213573485806785498938633696397210281512860861711642056155362784903206574

comment: $a^4-2a^3+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.320.1

-331

1:

0.4322030911848134018382578854578751154957852318449836913853165517907640514722769756700722719469925191

comment: $a^4-a^3+a^2+a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.331.1

333

1:

1.460781613113235440165640064354742699096291415677522999954488773082940897444580400554751502996236038

comment: $a^4-a^3-2a^2+3=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.333.1

392

1:

0.6329743192009474501481832460801859300728576976886075268319739483062799438148109826273510874461527725

comment: $a^4-a^3+a+1=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.392.1

400

1:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4+3a^2+1=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=4$; LMFDB 4.0.400.1

-400

1:

0.5106981094295658352378116261079461520147648693683537790635993681239775885954767379683156178699397294

comment: $a^4-a^2-1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.400.1

432

1:

1.662885891058621075652485039079406059532747287925058546546333390169731779446753382439854031600658310

comment: $a^4-3a^2+3=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.432.1

441

1:

1.566799236972411078664056862580483493862082351092658863932945998012214813469392269627996849962220114

comment: $a^4-a^3-a^2-2a+4=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=6$; LMFDB 4.0.441.1

-448

1:

0.5578868462053922610273457742918053380018886924655041626944098179703971039767102602025059849603677686

comment: $a^4-2a^3+a^2-2a+1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.448.1

-475

1:

0.5769314774098270066776795951153347338857406487103273764942603806940896597858130941323610809922938173

comment: $a^4-2a^3+2a^2-a-1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.475.1

-491

1:

0.6335577348797549195790079727302763951110153346063934567459203550498251499914639400368184092198607625

comment: $a^4-a^3-a^2+3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.491.1

-507

1:

0.6493957119259368255013594695614750574404000054165573943176994539034917262318170536044288124893555419

comment: $a^4-a^3-a^2-a+1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.507.1

512

1:

1.528570919480998161272456184793673393288683296235854124772998962802455968808757097855616109732976758

comment: $a^4-2a^2+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.512.1

513

1:

1.964978375110626173703750140075654730514098722437161382567596970048045180137920411671663254143673129

comment: $a^4-a^3-3a^2+2a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.513.1

549

1:

2.114376192509158198789994890998933832947725766382084172198361624500575280211334694879360780506082011

comment: $a^4-2a^3-2a^2+3a+3=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.549.1

-563

1:

0.7042671959828660712713416616300676385681449748191853011416149622770539602740228872023556465503572944

comment: $a^4-a^3+a^2-a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.563.1

576

1:

2.292431669561177687800787311348015431621868240015710247605016444831347855723856573484055076085019256

comment: $a^4-2a^2+4=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=6$; LMFDB 4.0.576.1

576

2:

1.762747174039086050465218649959584618056320656523270821506591217306754368444052175667413783820512086

comment: $a^4+2a^2+4=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=6$; LMFDB 4.0.576.2

592

1:

0.9178186079574091427717248312274755478346529751445829535521421954655694056616446629541101954450442450

comment: $a^4+2a^2-2a+1=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.592.1

605

1:

0.7671972182513194433290287685198713336263083819608530000906805221816921268038099598389693256499660176

comment: $a^4-a^3+a^2+a+1=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.605.1

-643

1:

0.7201844678683060907280227037416335819552420341971731089867215440835409121695437021041921995603695308

comment: $a^4-a^3-2a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.643.1

656

1:

2.426106652115390089301025747313864050387639556164494677781815837727583041250452746912717544849232802

comment: $a^4-2a^3-a^2+2a+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.656.1

657

1:

2.033545654697235607326547589460714298276701275707727287229056412852010619351659879588176732421021867

comment: $a^4-a^3+5a^2-2a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.657.1

-688

1:

0.9987432118528067724899156123043553237512113481340216675822613215181194500787216269038377404589027239

comment: $a^4-2a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.688.1

697

1:

1.033241851225720719412600725234028228826204225700499209533659363224547888276159678069205769469251809

comment: $a^4-a^3+2a^2-a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.697.1

725

1:

0.8250688479347573262339191699126341710785035765924633590946276315350289813675797405628935275411956690

comment: $a^4-a^3-3a^2+a+1=0$; signature $(4,0)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.4.725.1

-731

1:

0.8668300736866192339552598379628995870424283972619333127348612835761895288230508834495384220736005723

comment: $a^4-a^3+2a^2-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.731.1

-751

1:

1.067940596263452499536904325039686440809811359566696121289272607713352535784570537482960698892161598

comment: $a^4-2a^3+a^2-a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.751.1

761

1:

0.9906995087680828064923384611343683907701954392653147995479038626504706791490570599285304562986834360

comment: $a^4-a^3+a^2+2a+1=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.761.1

-775

1:

0.8679053094629697912095532839302911043126603492884369158657856099040073015160436936867424170476095345

comment: $a^4-a^3-3a-1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.775.1

784

1:

2.768659383313573832732001409383745519872057893445600633657277561381764216167126915163756411003609295

comment: $a^4-3a^2+4=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=4$; LMFDB 4.0.784.1

788

1:

1.394113585979294821972425570062789702416339710260527291956816796176923069115712356986165618939989068

comment: $a^4-a^3+2a^2-2a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.788.1

832

1:

2.138622086316221079963016256440163280174686353728443548658591927248553415935867836257585008529392709

comment: $a^4-2a^3-2a+5=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.832.1

837

1:

2.418838104122377368081812918218833547380420790314831658385306262104113444851311156541812407149292464

comment: $a^4-a^3-3a^2-a+7=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.837.1

-848

1:

0.9929949383146108126240222656839706924801508231666199447826688558903481727573177654862086106558277072

comment: $a^4-a^2-2a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.848.1

873

1:

2.428002560457031351456558935938985946580119354062569606509618610356260586387079125704737305813429016

comment: $a^4-a^3-4a^2+a+7=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.873.1

892

1:

1.292744269121944199595432942187728720490360807848930668422542632223217328763979985177821251580768877

comment: $a^4-a^3-a^2+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.892.1

-976

1:

0.9906992150057355635616684163388473970660123482204788203224264463367335605769068695753710301396392349

comment: $a^4-2a^3+3a^2-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.976.1

981

1:

2.152218757189984606460492727128389645589811377112325618775414580201545707397923194709199837893440403

comment: $a^4-a^3-4a^2+4a+7=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.981.1

985

1:

1.343611730036169733155342246588149805406671132339292515422419306916455733395425538872402245153087509

comment: $a^4-a^3+2a^2-3a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.985.1

1008

1:

3.395883183678574928136209938203961150782128572708631247567560224869749146403455634829828756806126986

comment: $a^4-5a^2+7=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1008.1

1008

2:

2.416113286909962015506938433315144258878508639892048807593501370487301617477128988224372727326026340

comment: $a^4+5a^2+7=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1008.2

1016

1:

1.274284429910408541447648202970698051179341643502259578639136949808403222238297904240910078791277312

comment: $a^4-a^3+a^2-2a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1016.1

-1024

1:

1.347242034316728427790359175746851860430550244163398367098117026462444478900469991794157077141551695

comment: $a^4-2a^2-1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1024.1

1025

1:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4-a^3+3a^2-2a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.1025.1

1040

1:

1.852266062700364849100248890611574630538711829454837487447532002124995803538149071199778436551419132

comment: $a^4-3a^2-2a+5=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.1040.1

1040

2:

3.468649042975932895916821878708322439630837659589571547846557804868866935104576363165924464871493012

comment: $a^4+a^2-4a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.1040.2

1076

1:

1.777026410372426399300341371561200904805985127443227650144488633447957399938985144170331395972066112

comment: $a^4-a^3+3a^2-3a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1076.1

1088

1:

1.179966023924604709615288586426314735907240288579342405639061389389953432948504658245058773921204790

comment: $a^4-2a^3+a^2-2a+3=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.1088.1

1088

2:

1.762747174039086050465218649959584618056320656523270821506591217306754368444052175667413783820512086

comment: $a^4-2a^3+5a^2-4a+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.1088.2

1089

1:

3.828168471333101014963363758757313457551225484632143122563566897063799285244534035578125984357219626

comment: $a^4-a^3-2a^2-3a+9=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=6$; LMFDB 4.0.1089.1

-1099

1:

1.012449166023178404100687470492046250975160422471830110568491067997407819988706066149115152981742514

comment: $a^4-a^3+a^2-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1099.1

-1107

1:

1.288048074113729589043862006968909176220313338706208155986243366179022809792832883971368640178040549

comment: $a^4-a^3-2a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1107.1

1125

1:

1.165455194324171095940217247824703232272023330157830093102621774436296352527467810683240986476735408

comment: $a^4-a^3-4a^2+4a+1=0$; signature $(4,0)$; $C_4$ (4T1); $h_K=1$; $w_K=2$; LMFDB 4.4.1125.1

1129

1:

1.269019281046059984694221332382318277025688334468714090678146097630636679850282917006897012482624660

comment: $a^4-a^3-a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1129.1

-1156

1:

1.535126169218605257004562327636177610749298518447977073798941103352539541575703778791989960050707546

comment: $a^4-a^3-2a^2-a+1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1156.1

1161

1:

3.481423501732223245808223928535044394672938224862556928909370641058658667817869401856079610233376195

comment: $a^4-a^3+6a^2-a+7=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1161.1

1168

1:

1.890241359602200356772133121845617447971126318834338752747393391226206132286204739553913708704696579

comment: $a^4-a^2-4a+5=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.1168.1

-1192

1:

1.568972303595477198389262221433690757811322902095283717121409797753990990359480866459326218717953864

comment: $a^4-a^3+2a^2+a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1192.1

1197

1:

2.319238933802290600631456564174970450501065238752732593144183270090265022711124848414748996513471354

comment: $a^4-2a^3-4a^2+5a+7=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1197.1

1197

2:

3.577134383774335381874457265628566550991377384466064368421344538593750098498009860870413446011150363

comment: $a^4-a^3-5a^2+3a+9=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1197.2

1225

1:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4-a^3+5a^2+2a+4=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=2$; LMFDB 4.0.1225.1

1229

1:

1.242061262099757721523317768083865745652952209949609907203514258878358928510671574159097386219666862

comment: $a^4-a^3+3a^2-a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1229.1

-1255

1:

1.582329949521447056291136751519368276317249642329304432787434445028624392448819374491846972941246035

comment: $a^4-a^2-3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1255.1

1257

1:

1.538814685751820306979678507464126774902441727700585382803006256473677175966624555470500704765337383

comment: $a^4-a^2-a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1257.1

1264

1:

1.155072616529301103297574190028336005808857893206772516959443805437115290186910054759110546948992564

comment: $a^4+3a^2-2a+1=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1264.1

1280

1:

2.938703488736370546511688634723295233575606714669576345755827673204956541419444515730806505945131120

comment: $a^4-4a^2+5=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.1280.1

-1323

1:

1.351449932467939367305453588373199995308121094183741029446853327792674716128566791037665498956187853

comment: $a^4-a^3-3a^2-a+1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1323.1

-1328

1:

1.366889679702798973487494688513593316162568622305583109048698734845428543587465204654232224708328686

comment: $a^4-3a^2-2a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1328.1

-1371

1:

1.348765423071728304111503222142700913514236876250433279096090949164651243097560014224407838245577507

comment: $a^4+2a^2-a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1371.1

1372

1:

1.486022124876927092479168720953647376698020618026628916849144512955277707250900953069325294098847233

comment: $a^4-a^3+3a^2-4a+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.1372.1

-1375

1:

1.330619325833928225955388905621443500169101282616946453103725417251561527394899432770638301712738381

comment: $a^4-a^3+a^2+4a-4=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1375.1

1384

1:

1.815331719235453857842633322902298470870558359747946668339833123413708323791735480869992213014465027

comment: $a^4-a^3-a^2+2a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1384.1

1396

1:

2.368195711907287393850608668297904612858092587506135238290111964647556491337094495888891182094323227

comment: $a^4-a^3+a^2-a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1396.1

-1399

1:

1.706133522308356665348046201332907463139632252445009239616282421877490859873311024898824801354312565

comment: $a^4-a^3+a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1399.1

1413

1:

3.892626839348520505858164942739375716606120953672975280488592345523189247667112428074087585636043521

comment: $a^4-a^3+7a^2-3a+9=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1413.1

1421

1:

2.227578716365390904101590516965062661194832386576236149391007023734937563234114764013301651577849999

comment: $a^4-2a^3+2a^2-a+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.1421.1

-1423

1:

1.697694591988586574502141350653883103780427520558241818706643301349320779314617264628411042443400086

comment: $a^4-a^3+a^2-2a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1423.1

1424

1:

2.409385376358372106349595678060382790275293602589566114286350964249599199939407554726884742262658959

comment: $a^4-2a^3-a^2+2a+5=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.1424.1

-1424

1:

1.473253307057244545598784882577270249163981927657485365572716747766099182438565815837020558220720141

comment: $a^4+a^2-2a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1424.1

1436

1:

1.595912127712981655474610997442949215265652862454129689571996779834108817095189003585583902671776454

comment: $a^4-a^3+3a^2+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1436.1

-1456

1:

1.760523194975316345434651659522968140880839051757493322265952568197650147611061673013033482055655577

comment: $a^4-2a^2-2a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1456.1

-1472

1:

1.956325889691224392483559161678700516724814260895899245934196579562612642335150032636784930098521554

comment: $a^4-2a^3+2a^2-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1472.1

-1472

2:

1.259514802152132781675746772319756878993003607988641526529585704061107712855213915963243524628811564

comment: $a^4-2a^3+3a^2-2a-1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1472.2

-1475

1:

1.234776974514532016654679851685795138966347443342239898238967265551420995477779798813156620373412038

comment: $a^4-a^3-a^2+5a-5=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1475.1

1489

1:

1.765883704346785933101388467157272358562714945249165604517250894021262716310251853585666930286486255

comment: $a^4-a^3+4a^2-a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1489.1

1492

1:

2.480288806871018140840982939695068962362916525136202584274331572858868541697229813266399591874055088

comment: $a^4-a^3+2a^2+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1492.1

1509

1:

1.150887295773447764605609662851291984766610894047752530121630751683904443916883154166969941822679931

comment: $a^4-a^3+2a^2+2a+1=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1509.1

1521

1:

2.389526434574218608223861657038181047072324150306010858541360598922648191661925060537743228578628751

comment: $a^4-a^3+4a^2+3a+9=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=2$; $w_K=6$; LMFDB 4.0.1521.1

1525

1:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4-2a^3+6a^2-5a+5=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.1525.1

1552

1:

2.231851352751197249922611243161787101274812842068759469197982300757295810308825023491044250072354593

comment: $a^4-2a^3-3a^2+4a+5=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.1552.1

1556

1:

2.308748384320147480668220503888583200787919885955050749215347917649455729193039235303803612318208103

comment: $a^4-a^3-a^2+a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1556.1

1568

1:

2.256767929932602176559654849480547890908418676786560431191552234847311378677188660623825043648897932

comment: $a^4-a^2+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.1568.1

-1588

1:

1.933580383115812654364243663672181662267673045803991594000898250847214309176401964103598747744628692

comment: $a^4-a^3-3a^2+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1588.1

1593

1:

2.083815498328273972056999766814677368399652962942715365043365077866522742320410716421343660009385516

comment: $a^4-2a^3+3a^2-a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1593.1

1600

1:

1.542505909833487916757471135871307776140139725975452302527771602469293658740805314872237160148641662

comment: $a^4-6a^2+4=0$; signature $(4,0)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=2$; LMFDB 4.4.1600.1

1600

2:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4+6a^2+4=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=2$; LMFDB 4.0.1600.2

-1600

1:

1.414138869123852673665516286018142250156743853030957017358982365823664436154534936954086265246240124

comment: $a^4-2a^2-4=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1600.1

1616

1:

1.577942048269947034417936617981356835947734773002492946274692704896132778464940099873799307855349263

comment: $a^4-2a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1616.1

1629

1:

2.576480376958753115526905291764001147362624747742864133814706901131758466557856094619698611822632938

comment: $a^4-2a^3+8a^2-7a+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1629.1

1728

1:

3.983304782098873648137993350571853908295334929565824088318480472358758147392163178082400838332215209

comment: $a^4-6a^2+12=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1728.1

-1728

1:

2.189950705914511481040414854637989993610106674247135208018060118536534322031335751633188912978914169

comment: $a^4-2a^3-2a+1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1728.1

-1732

1:

2.051556609234092221315331955617826721387624930858189477506124382053925085796410930587572498249915691

comment: $a^4-a^3+3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1732.1

1737

1:

5.202881797712410294279004616626892786959816278376221524005302854520929114929801117735205114962198743

comment: $a^4-a^3-5a^2+6a+12=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1737.1

1765

1:

1.445795531593986470545874108787551369290085003359698135185410285924460216161741208777707569243872334

comment: $a^4-a^3-a^2-a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1765.1

-1775

1:

1.511697220961820031803529154008325096247265254098852481660620797922716602488457322417740327574833598

comment: $a^4-2a^3+3a^2-2a-4=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1775.1

-1791

1:

2.019138499251088278156791724963151289971212773140003123930655678892667400859336869488124823551994181

comment: $a^4-a^3-a^2-2a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1791.1

-1792

1:

1.989055645475366321197206671637841148909843028980920296320113036757806644642683732265767663315794474

comment: $a^4-2a^2-4a-2=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1792.1

1805

1:

1.198913757654163243949790349760757577120817027249751934908995697079002924937995458690294100413632387

comment: $a^4-a^3+3a^2+a+1=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.1805.1

1808

1:

5.260958752951066748524035898466282457074929575439099830796586768467428654955216357001274492834826433

comment: $a^4-3a^2-4a+8=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.1808.1

1809

1:

4.616220643874701352572084120233821680650882675744734298850962436792239350816947604167778975058940343

comment: $a^4-a^3-6a^2+5a+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1809.1

1813

1:

2.639870715458458381837339405693125437584126032368808463912334440425736263428186820896439927365971022

comment: $a^4-2a^3+a+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.1813.1

-1823

1:

2.281926207484798175538232637132412291073919218418720772712344065016339595302255862043055793310987842

comment: $a^4-a^3+3a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1823.1

1825

1:

2.118659482296351316249647471214726299885570865270977473784973704431035897799368894399253947280802008

comment: $a^4+a^2-a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1825.1

1856

1:

3.949445153045524441705763368555012852364298412763842068453795632083856520666761071530442450398512601

comment: $a^4-2a^3-4a+10=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.1856.1

-1856

1:

1.761459117821123845971651129753155667188298393662807989487952741068455305682285653983953081731438104

comment: $a^4-2a^3+a^2-2a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1856.1

1872

1:

2.575278132004271610509120838412191407020292614922387924671574394959331831734481401404457319007813084

comment: $a^4+7a^2+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=6$; LMFDB 4.0.1872.1

-1879

1:

1.658957108499377147088914895998904311103227324225729962899364041632425346315653766205335014683007829

comment: $a^4-a^3-2a^2-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1879.1

-1927

1:

2.075477262445982561326075498077520285809365606979873852387229967516946440141147836653881363284408689

comment: $a^4-2a^3+a^2-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1927.1

1929

1:

2.092351213854111764045447269120011612775853793631373519143853384517616778266384219081705287634552141

comment: $a^4-a^3+4a^2-3a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1929.1

-1931

1:

1.390844754680718058339257521113597937754144327819521187430041349216795574992718045585622633653561558

comment: $a^4-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1931.1

1936

1:

2.993222846126380897912667713774182913083660451180980642685145600977499226709739878280630962707130629

comment: $a^4-5a^2+9=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=4$; LMFDB 4.0.1936.1

1937

1:

1.654707732958321599784729216407678906989422332151518699926287511886887526673431338591659906245967457

comment: $a^4+a^2-3a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1937.1

1940

1:

2.674281175672190987244465425843476246456137175877410101520038662880257030715917064833657045985141741

comment: $a^4-a^3+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.1940.1

1953

1:

5.730656165860591947042300078601190537361662695845252042089376899414266929487040861793041518731275878

comment: $a^4-2a^3-5a^2+6a+12=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1953.1

1953

2:

3.774447561577707726506052285538733734525489031979481103438710606989425456851910305613153987335845566

comment: $a^4-a^3+8a^2-5a+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.1953.2

1957

1:

1.918363023386443808645821531142979446560280859052320084827038976368766831053172160044011777211751088

comment: $a^4-4a^2-a+1=0$; signature $(4,0)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.4.1957.1

-1963

1:

1.478851910761126148483992028068991641256470830691451756234563111319543389783109085071743356794898311

comment: $a^4-a^3+2a^2-2a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1963.1

-1968

1:

2.399206854518971153369660348808971583647455287633912423352059930990657781573359284366136982234063714

comment: $a^4-4a^2-2a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1968.1

-1975

1:

1.776330029970654670130764610639960558596558548889225958939628899178880981791471943445377625096063741

comment: $a^4-2a^3+a^2-5=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1975.1

-1984

1:

3.000919799390640672604665222194474534064629967782649186931422137862551015523379953563576941997797314

comment: $a^4-2a^3+a^2-2=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.1984.1

-1984

2:

2.168014423338391533806287745498420867226070011424355875054076764990386289771636074379588228213057264

comment: $a^4-2a^3+2a^2+2a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.1984.2

2000

1:

1.852810563973024194284130737163363903923708859097747433277403231248757120441015028258391858373197398

comment: $a^4-5a^2+5=0$; signature $(4,0)$; $C_4$ (4T1); $h_K=1$; $w_K=2$; LMFDB 4.4.2000.1

-2000

1:

1.556163653203624448435594063664151653775687337701884748210636000290496671480994739781146652821644047

comment: $a^4-5=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.2000.1

2021

1:

2.942347881189272777036545246103252259694713333721643414415642526071583689368446398867909857665854859

comment: $a^4-a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2021.1

2048

1:

2.441795006619915765722142114284313009926824619065582022876298928665877306786612358037326401612971288

comment: $a^4-4a^2+2=0$; signature $(4,0)$; $C_4$ (4T1); $h_K=1$; $w_K=2$; LMFDB 4.4.2048.1

2048

2:

2.448452447678075790005309913635869140315248609746677605756410967796751761014716789583098591024039783

comment: $a^4+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2048.2

2048

3:

1.762747174039086050465218649959584618056320656523270821506591217306754368444052175667413783820512086

comment: $a^4+4a^2+2=0$; signature $(0,2)$; $C_4$ (4T1); $h_K=1$; $w_K=2$; LMFDB 4.0.2048.3

-2048

1:

2.158001316456805648260655445843392174227244496522360754116238316337097347836807940038907657668510207

comment: $a^4-2=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.2048.1

-2051

1:

1.743003167532260864655433034352500118013407285528976385264449797945810838563167181046292127460424895

comment: $a^4-a^3-a^2+3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2051.1

2057

1:

1.884408873747002751086972771929702222361424699036637633088171581433989901979254929453288088929245142

comment: $a^4-a^3+3a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2057.1

2061

1:

2.833658871114048702587864002403354288161915560464292603301564546476209189535866430901306398384147656

comment: $a^4-a^3+8a^2-2a+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.2061.1

-2068

1:

2.312582566369999992082099869684352357087330487311442609989195453030963041210052931603738438549361949

comment: $a^4-a^3-2a^2+3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2068.1

2089

1:

1.717580920685679925150408508347738863139979007512529407975263685682307928644811943224749551287414070

comment: $a^4-a^3+a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2089.1

-2092

1:

3.114751466984301204113105098332631098854046323939424215247170807225273174738775622901970755997226881

comment: $a^4-a^3+a^2-3a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2092.1

-2096

1:

2.523841176702220079770913612289459263257135688446283547733489606193837338597864592416636460559180599

comment: $a^4-2a^2-2a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2096.1

2112

1:

3.154720161996649790763723015812530664064216335636705699575498662997628390685901983751024544520906405

comment: $a^4-2a^3+a^2+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2112.1

2112

2:

1.418316134968973230200327889083755122596041982011748319191662687569803440738554935868118067924324449

comment: $a^4-2a^3+5a^2-2a+1=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2112.2

-2116

1:

2.417773191803686091493719482971189082360571231644429223433591029630794004165911587421031677033740782

comment: $a^4-a^3+a^2-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2116.1

2133

1:

3.862227228128559751669956196409529383262754371259085982904822613701491907488312336202713821966729027

comment: $a^4-2a^3-6a^2+7a+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.2133.1

-2151

1:

2.277984154240583101994983418886159332769504812585358048336025922996921950397553952419860426758494125

comment: $a^4-a^2-3a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2151.1

2156

1:

3.998469557844646429546574815991337461764375983838416630448542483962945745813564079067356272574595396

comment: $a^4-a^3-2a^2+2a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2156.1

2156

2:

1.970922789043445361427645586249298876517530473495661838268938452322440674028604386559369581549613589

comment: $a^4-a^3+a^2+4a+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2156.2

2169

1:

4.143650221390020076553782073895669710393152419060323280202297280273314181037436145719883955643230169

comment: $a^4-a^3-7a^2+4a+16=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.2169.1

-2183

1:

2.233192422426950538862862930467702510884850329443501991921861372486332193492846525255224842123165926

comment: $a^4-2a^3+3a^2+a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2183.1

-2191

1:

2.325830090810559665861692445671749359446099456999855495682095112660019926052466570890875110633092489

comment: $a^4-a^3+3a^2-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2191.1

2192

1:

5.981357070948798692071106058085054277888806672155696785467952574223895056604422452921700500078069387

comment: $a^4-2a^3+7a^2-6a+10=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.2192.1

2197

1:

2.389526434574218608223861657038181047072324150306010858541360598922648191661925060537743228578628751

comment: $a^4-a^3+2a^2+4a+3=0$; signature $(0,2)$; $C_4$ (4T1); $h_K=1$; $w_K=2$; LMFDB 4.0.2197.1

2213

1:

1.668022333007250693851177691151465917717611150309716113354075641754366861353882972671574947476600475

comment: $a^4-2a^2-a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2213.1

-2219

1:

1.503836469972744714599390655193760217904603583907602023403974820275466609027346703928908751215736281

comment: $a^4-a^3+3a^2-a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2219.1

2225

1:

2.064511903133028338365029766615262197498359055477454715333205940639179111343595265339964851262448486

comment: $a^4-a^3-5a^2+2a+4=0$; signature $(4,0)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.4.2225.1

-2243

1:

1.943201761660343355472002579191307995708183833723459785327654244940868966817240289596736400203233749

comment: $a^4-a^3-a^2-3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2243.1

2256

1:

2.327435032748590895230165646045139907859423791738416378507135445266327928942812837766280616629448389

comment: $a^4+2a^2-2a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2256.1

2272

1:

3.341657949279238029504928780342492868023059548004378927184545158945934667880503347955897864785356313

comment: $a^4+a^2-2a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2272.1

-2284

1:

3.314058231156395938070504907387715551793675406230822450513268491327249806215487681376379455952615841

comment: $a^4-2a^3+2a^2+2a-4=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2284.1

2292

1:

3.332572322509382757915965716606950006736852275018546270334108488860412923840172165932701053218466321

comment: $a^4-a^3+2a^2-4a+4=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2292.1

2296

1:

2.582712062951195795474644713449524661374082793423020854796423241380833811116241561516551306135425208

comment: $a^4-a^3-2a^2+a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2296.1

2304

1:

2.660898580190370468920683695892799809558411558994988963935036266833354189417146169957673248491733232

comment: $a^4-4a^2+1=0$; signature $(4,0)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=2$; LMFDB 4.4.2304.1

2304

2:

2.292431669561177687800787311348015431621868240015710247605016444831347855723856573484055076085019256

comment: $a^4+9=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=2$; $w_K=4$; LMFDB 4.0.2304.2; $K=\mathbb{Q}(\zeta_{12},\sqrt{3})$

2304

3:

1.316957896924816708625046347307968444026981971467516479768472256920460185416443976074219013450101784

comment: $a^4+4a^2+1=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=2$; $w_K=2$; LMFDB 4.0.2304.3

2312

1:

4.189425094522202588489645692131057306906302096397346531773611959852495899391254498300858730977481602

comment: $a^4-a^3-2a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2312.1

-2312

1:

2.471689635656662323258068433369988859476495751426706798386118574675035037878910742584652204746941468

comment: $a^4-3a^2-2=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.2312.1

-2319

1:

2.696671271479967002806963542064160674703670088825611581737998167405963320263864451272545572360140875

comment: $a^4-a^3-2a^2+3a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2319.1

2320

1:

5.957553323908206150320204393167680218017836715087362086954975974366020184893332945335090590753606798

comment: $a^4-2a^3-3a^2+4a+8=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.2320.1

2320

2:

2.520950375596908145705816276006960113023209277555166862759948351969691968390559886597586913364765923

comment: $a^4+a^2-6a+9=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.2320.2

-2327

1:

2.694446734341663135781128477942953065954124372589525208511288186715464903936892199893659890234256961

comment: $a^4-a^2-a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2327.1

2349

1:

1.842945480357451784479624104536785303475439804356124099085844019162706486557901428540997325914316667

comment: $a^4-a^3+3a^2-3a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2349.1

2368

1:

4.084243329076342311630824155073351518733626996953203280878119879977644930387430367291505633465289115

comment: $a^4-2a^3-4a^2+4a+10=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.2368.1

-2375

1:

1.917888010680814421710275226377626716649848178435842797588572847628988133209839556983390698372223856

comment: $a^4-a^3+a^2-6a-4=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.2375.1

-2412

1:

3.448422418271657569646916062129546962279218792386369921283370483066642848934599469936699378956537791

comment: $a^4-a^3-a^2+a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2412.1

2429

1:

1.896101423289735265039807778973757043785497543378102776722548496561229526373864221788596237959858542

comment: $a^4-a^3-2a^2+2a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2429.1

-2443

1:

2.221501113003453160786623756487899645160744901821518479364010164425713722971223826997551200331777851

comment: $a^4-3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2443.1

2448

1:

3.231983058354065443137435852649561760322774870747989619012753508365322328559639562902213334629640189

comment: $a^4-a^2-6a+10=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=4$; LMFDB 4.0.2448.1

2457

1:

2.687391442808814174596443530828964425450903784851638638771687857926545173159033088000255342516210445

comment: $a^4-a^3-6a^2-a+19=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=6$; LMFDB 4.0.2457.1

2457

2:

2.873839980179266888369700036532637675830242882067212588149678103043986680834527801084005673473035647

comment: $a^4-a^3+9a^2-4a+16=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=6$; LMFDB 4.0.2457.2

-2475

1:

1.671341138021862106078848305213536683379328287923403224198499944220751116238902974516648328911536739

comment: $a^4-a^3-a^2-5a-5=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.2475.1

-2480

1:

2.909912892643766750161216969521629385570007382849367732807471192037842545126638023573020082748965587

comment: $a^4-2a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2480.1

-2488

1:

2.610482001024349678044623057717667008450922333110170528287850666098389945211067579688646409303464494

comment: $a^4-a^3+a^2+2a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2488.1

2493

1:

2.691506079134416996934030232548315610872257250245109425871319723130898849773644346809102726941488137

comment: $a^4-a^3-7a^2+a+19=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.2493.1

2525

1:

2.091118875664179659565232670846189703823590949062420850512323748887028137288727969345910750826372828

comment: $a^4-2a^3-4a^2+5a+5=0$; signature $(4,0)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.4.2525.1

2560

1:

4.611018062486953884083671876266861794658164692255328688544888075790047754315354427610396337713781493

comment: $a^4-6a^2+10=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.2560.1

2560

2:

3.937275851586192583577330190490996379041462025364021147685622034705496510984970691775751504140152461

comment: $a^4-2a^2+10=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.2560.2

-2563

1:

1.526669332404127679214986377471475474298885087800952671792105693462617555936435046811896726139084742

comment: $a^4-2a^3+4a^2-a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2563.1

2597

1:

3.418626684663730796946814531079881433777563223003051365765988251930529242489291259924282683956735707

comment: $a^4-2a^3+4a^2-3a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2597.1

2597

2:

1.339502188216318921900003862702171600289407508443864767561503334196146844892869796570990988177501111

comment: $a^4+4a^2-a+1=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2597.2

2601

1:

4.189425094522202588489645692131057306906302096397346531773611959852495899391254498300858730977481602

comment: $a^4-a^3+5a^2+4a+16=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=6$; LMFDB 4.0.2601.1

-2608

1:

2.677199351101700601782143160098434791642340571699621095276654866765362427290383266950296346304505376

comment: $a^4-2a^2-2a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2608.1

-2619

1:

2.389936324724883080776591710207819318174878718672887940497941506436606486023609551865922406451246034

comment: $a^4-a^3-3a^2+3a+3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2619.1

2624

1:

2.185956206691598390834689158467666601210602849577137351496727814202557762233558898353931811352699713

comment: $a^4-2a^3-3a^2+2a+1=0$; signature $(4,0)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.4.2624.1

2624

2:

2.024120695169036034926278427880417050943780718341821034316237179529070365035929877842434817774725850

comment: $a^4-2a^3+3a^2-2a+3=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2624.2

2673

1:

2.910180842646894517198583745568068298933067762495101873560453636114250357352640357199691138964272825

comment: $a^4-a^3+a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2673.1

2677

1:

1.442315509670690156087338658784840567973926377122890526942501833010869975190168474356408482223366166

comment: $a^4-a^3-2a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2677.1

-2687

1:

2.541798448286662776825315206996072224765320861176436513242439957589404525378127913868695407744537104

comment: $a^4-3a^2-3a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2687.1

-2696

1:

3.193521429541197562555606743055961256480727259732946560131696693002266880609624254678599033400702831

comment: $a^4-a^3-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2696.1

2704

1:

2.389526434574218608223861657038181047072324150306010858541360598922648191661925060537743228578628751

comment: $a^4+7a^2+9=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=4$; LMFDB 4.0.2704.1

-2704

1:

2.555147004408438275740483443756656945497202405473696084409964683541720238799019509675888567821306069

comment: $a^4-3a^2-1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.2704.1

2709

1:

5.893480740267126920159757567244586121839083207294095913942554276910097333256316551445714955011752695

comment: $a^4-2a^3+10a^2-9a+21=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.2709.1

2709

2:

2.950859431437045102338433761090238847426566138760926558801209400628224656853071081108374137872112428

comment: $a^4-a^3-7a^2+7a+19=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.2709.2

2725

1:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4-a^3+5a^2-3a+9=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2725.1

2736

1:

6.519136436338616636385267697572596330491215107807588421179809296079459888773283604636832581033511163

comment: $a^4-8a^2+19=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.2736.1

2736

2:

3.953821401174310285857021685659343990855275797547059896415690669896771107750486039831650448865739947

comment: $a^4+8a^2+19=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.2736.2

-2736

1:

2.675314712854146404138213358000182916616629078381773254771380111872393395209687560539887358055709198

comment: $a^4-2a^3+2a^2+2a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2736.1

2744

1:

4.769480793406061210993548337486870442684735699909481879627339998826594651651718175278017407303956345

comment: $a^4-a^3+3a^2+3a+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2744.1

-2763

1:

1.819495276954033230644499117633927231614327394884183058682321607303919645441929570225839674438238720

comment: $a^4-4a^2-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2763.1

-2764

1:

3.817145729785533814882581676162559469685903872005069175029737705174295933062685955224010198123452846

comment: $a^4-a^3-3a^2+a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2764.1

-2767

1:

2.604628940776772594338053437171875854076676272829155199369237995332501001207407738028257722232079103

comment: $a^4-a^3-3a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2767.1

2777

1:

3.038773403795369756303052908247621637316468265378903523689957805959301641329831458560339271536426010

comment: $a^4-a^3-4a^2+a+2=0$; signature $(4,0)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.4.2777.1

2781

1:

4.804153739007987309806517404945032583228877379868192791600515099214057036264607278857207578717067215

comment: $a^4-a^3-6a^2+8a+19=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.2781.1

-2787

1:

2.808643174270894871183786635160098837239883692931346120589894740351958934277458720677309597381478271

comment: $a^4-a^3-a^2-5a-3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2787.1

-2816

1:

3.174525512128850271845521593980220431701123331718453053089265177987768981155917965766528649400984884

comment: $a^4-2a^2-4a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2816.1

2817

1:

7.446907105875990781316833944274538147686059016706887136590575642725598062704141343915023639957514145

comment: $a^4-a^3-8a^2+3a+21=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.2817.1

-2824

1:

2.930214935085338540936958360657026020397143543097158563225043260702941994846682536911323044354133211

comment: $a^4-a^3-a^2-2a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2824.1

2836

1:

4.005694007647328625589526483411222178470044497161295537018015035503339551407665774293187472513888050

comment: $a^4-a^3+4a^2-4a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2836.1

-2843

1:

2.036859310724014389333666042186417029549897978970773484722800065008566273627570830915500035165481228

comment: $a^4-a^3+2a^2+2a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2843.1

-2859

1:

2.147505927347163568668698095199480650321164356514250562398307740118325761607051477190314804894121214

comment: $a^4-a^3-a^2+3a-3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2859.1

2873

1:

2.389526434574218608223861657038181047072324150306010858541360598922648191661925060537743228578628751

comment: $a^4-a^3+a^2-2a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.2873.1

2880

1:

2.452913742502811769493757708793151599963974923396953666653163978558210248180162918709254290249355289

comment: $a^4-2a^3-4a^2+2a+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=4$; LMFDB 4.0.2880.1

2889

1:

1.332431803028025483252831910782337315243431131759350637597167101814679177808575235966437450403556702

comment: $a^4-a^3+3a^2+2a+1=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=2$; $w_K=2$; LMFDB 4.0.2889.1

-2911

1:

2.789891270683257048876348402202582250343823667984279158995196503621378857142811556450762461827512179

comment: $a^4+a^2-a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2911.1

2917

1:

4.226403957779750468003534467240555850769691311289527957593372125553520497126145012507335179679664842

comment: $a^4+4a^2-a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2917.1

2920

1:

3.024617419787301832727702921690731692480431328061929447255364189320723866323364915119922852186964141

comment: $a^4-a^2-2a+4=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2920.1

2925

1:

2.968489399508618728121168402559247321971423089653701260272733155378300921949558818532583691010244580

comment: $a^4-a^3-8a^2+6a+21=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=6$; LMFDB 4.0.2925.1

-2943

1:

3.189365255504768641677000081024310275620156162994187952094447832061761719005327111785014329402421981

comment: $a^4-a^3-a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.2943.1

2960

1:

7.686216104427020965041731765382508867160181797850608127601067881883735615940744724349603423878497278

comment: $a^4-2a^3-5a^2+6a+10=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.2960.1

2960

2:

2.723601801715691576410075795729063852653323318228475024349524789415977218865605028158492661942813392

comment: $a^4-5a^2-4a+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.2960.2

2981

1:

3.806404198580363828431633781806045345113502891700186801520529592387453896911053727299694358436381147

comment: $a^4-2a^3+4a^2-a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.2981.1

-3008

1:

4.023564539880189426684134481796787169405253800996962381172268005441433467517800215367169309730877526

comment: $a^4-2a^3+3a^2+4a-4=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.3008.1

3024

1:

3.357169943927773718316276003241873304909373401624093700949189633873731468009597633885914703936250023

comment: $a^4-2a^3+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3024.1

3024

2:

2.839469892378389339258943189119327590280339693222727678930969850453720842387438410122392880395204710

comment: $a^4-9a^2+21=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=6$; LMFDB 4.0.3024.2

3025

1:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4+3a^2+16=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=2$; $w_K=2$; LMFDB 4.0.3025.1

3028

1:

3.381942785326174743805238192004661713628980636789686119542320842077201222310934493975900147034178341

comment: $a^4-a^3+2a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3028.1

3033

1:

5.479888510956780324042413920289643975818613188370650167896906704303373706604735905079985528757108200

comment: $a^4-2a^3-7a^2+8a+19=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.3033.1

-3052

1:

4.083187759630747204674002355129983463464548925062415130463394400778042860833701119423548202892003842

comment: $a^4-a^3+a^2-a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3052.1

3072

1:

2.553373736760690840771078328030436551485076151594731194082815237266168924474850704848313242585863799

comment: $a^4-2a^2+3=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.3072.1

3072

2:

3.755631711048186798854278181782822578573956132537713236706913155564056231777371850213240970322841288

comment: $a^4+2a^2+3=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.3072.2

3088

1:

3.290459741191959419403167462121166400754234556292066029353850139650183478594492405360933052466494962

comment: $a^4-3a^2-6a+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.3088.1

-3119

1:

2.894546827631216038798916201666386960397125819153773268836095446137558113094540346267280484378495014

comment: $a^4-a^3-2a^2-3a-4=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3119.1

3136

1:

2.898149445355172670064346286515453564939263170832587035692342323024500076045112539275969620856239324

comment: $a^4-2a^3+2a^2+2=0$; signature $(0,2)$; $A_4$ (4T4); $h_K=1$; $w_K=2$; LMFDB 4.0.3136.1

3136

2:

3.400084414113339500700187214244867064519782873143950778863694555175049936039146224586818365308646527

comment: $a^4-2a^3+9a^2-8a+2=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=2$; LMFDB 4.0.3136.2

3136

3:

1.762747174039086050465218649959584618056320656523270821506591217306754368444052175667413783820512086

comment: $a^4+6a^2+16=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=2$; $w_K=2$; LMFDB 4.0.3136.3

3141

1:

6.150639311563478087107008340172559493822713944990007576031695796313002637363924530867976581650826963

comment: $a^4-a^3+10a^2-6a+21=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.3141.1

-3163

1:

2.620983428849720956013203452359587273656370323333601028200766736282365853068582137364768465183141854

comment: $a^4-a^3-2a^2-2a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3163.1

3173

1:

3.811119265602736993555106542826127774115932681237445478351321398215097496791316802259460796786914232

comment: $a^4-2a^3-a+4=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3173.1

-3175

1:

3.060935491283527213558163703139086137338576940963556351266846826863073080362257855208876495100214315

comment: $a^4-a^2-3a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3175.1

-3188

1:

3.573215673281244439750638125501975968218897183155483300484110508897617214451622172645292625797805913

comment: $a^4-a^3+a^2-4a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3188.1

-3216

1:

2.576485423278378160563863159171817408445332421092545255853482768324437380691549813089376116391691116

comment: $a^4-2a^3-a^2+3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3216.1

3221

1:

3.998841459290513322433610253236757857067795814505684039460275337881643607945677199807904946753714508

comment: $a^4+2a^2-3a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3221.1

-3223

1:

2.816772692147621636152416048323243893644061865657766399200340990103479955633279678301079404328502685

comment: $a^4-a^3-a^2+4a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3223.1

3229

1:

1.515215374456638772007990603201347371965036817866677829220347649340499047662355986603437655782144486

comment: $a^4-a^3+2a^2-4a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3229.1

3249

1:

5.710416052763152522543082381529571773891267742457577178777509198888377823787070885692485233446943978

comment: $a^4-a^3-4a^2-5a+25=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=6$; LMFDB 4.0.3249.1

3261

1:

2.702284142633055096441817079850026217306801654500590695723981284854467785997479150405951162445130864

comment: $a^4-a^3+2a^2-2a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3261.1

-3267

1:

2.661185995110762468392241874824128770210955881356748723953746481531218264935936087200851829662114986

comment: $a^4-a^3+3a^2+a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3267.1

-3271

1:

2.954013356038483447468742972735020616228409572893544780735657726112150945629995103099804624355110060

comment: $a^4+3a^2-a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3271.1

-3275

1:

1.652509182891516363363408683505244065020993090597718336142354977172235441199322311874331119710177095

comment: $a^4-a^3+2a^2+6a-9=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.3275.1

-3284

1:

3.651298530186726265716230519779891567689874774020097941069071093755190539975720198448402418212970203

comment: $a^4-a^3-a^2-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3284.1

-3303

1:

2.871472616823991155087044360077701052945310258717275996919802407051454765218894586784164290044834017

comment: $a^4-a^2-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3303.1

3305

1:

2.789321805033712840645780328030611432550653604393608883999732207772629870695527912645598011943386939

comment: $a^4-a^3+2a^2+a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3305.1

-3312

1:

4.281508177903779667121120923055905682451914141951225897763134250020730745895907762340426494464716603

comment: $a^4-2a^3-a^2+2a-2=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.3312.1

-3312

2:

2.906190421855476467559102938984337175682629106949707603612354085802585413776740929378851156641856235

comment: $a^4+a^2-6a+1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.3312.2

3316

1:

4.420899702957307893083208428864955409289786433616971581788037946273480713669204807203928845619124042

comment: $a^4+2a^2-2a+4=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3316.1

3328

1:

4.984319936267670912278508410825835892824089038049143901792628054881619382031510033670771360276061431

comment: $a^4-4a^2+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.3328.1

3357

1:

6.913878903181846496346081663751225297138932205392450706448923366486055614815704517224487471410614323

comment: $a^4-2a^3-8a^2+9a+21=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.3357.1

3368

1:

5.467812985811938048734512344017844504593018939767729637417665514592318078961309511985577704907018706

comment: $a^4-a^3+a^2-a+4=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3368.1

-3376

1:

2.199997915529543602425667593547914063666905124210847241824077897718288338115804397163107151192655197

comment: $a^4-2a^3+a^2-4a+5=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3376.1

3392

1:

4.871475343776532755973397779891028583249529298853339881193048070883052271295613239878567321934013360

comment: $a^4-2a^3-6a+17=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.3392.1

-3407

1:

2.770509482823913931671803340456909395714120751789123494552311965162280056407523225944517023322480447

comment: $a^4-a^3-2a^2+a-3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3407.1

-3411

1:

1.820617154898360695195375760902879733801744154582689448853688856475665289565800508777049272482226835

comment: $a^4-a^3-4a^2-2a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3411.1

-3424

1:

4.542782720912682846455764289034892640258699630862962572183662022691082597416505707005515774859987343

comment: $a^4-3a^2-2a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3424.1

3429

1:

4.903865316580785956993668132626057007639677294372672421005577889050622470205865375136075749931948877

comment: $a^4-a^3-9a^2+5a+25=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.3429.1

-3431

1:

2.884301344769544863189158318951248741386093354719686700902392224361995539025788925348438775378992821

comment: $a^4-a^3+a^2+2a-4=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3431.1

-3436

1:

4.553566552297048838669148286674427918422567096138004539848653493701132084787053768310919409601943603

comment: $a^4-a^3-2a^2+2a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3436.1

-3475

1:

2.008079814304238693793277953510700371300484704893005498478728060591242784899781903127570907331118383

comment: $a^4-a^3-2a^2+8a-11=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.3475.1

-3504

1:

3.680159989256987870740535657119939545463229865039927689496285060908384338527318548293293389302356427

comment: $a^4-2a^3+4a^2-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3504.1

3528

1:

2.798767810936469217975036180478792713600593532685394267342130028446611479721653995647665498298515969

comment: $a^4-a^3+5a^2-5a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=2$; LMFDB 4.0.3528.1

-3544

1:

3.391640847564588911325798508393137344773882558414126736546934128741954731183714224823989108451326405

comment: $a^4+a^2-4a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3544.1

-3559

1:

3.169240512002107248626005959701029887315581561984794161074977499371473131554366721306129554745597399

comment: $a^4-2a^3+3a^2-a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3559.1

-3571

1:

2.932700257087894527874278530141652382897651094152909468896612941961296177609542293428820590795473616

comment: $a^4-a^3-5a^2+5a+3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3571.1

3573

1:

6.605444778438004024772256449270924633705598388553940511101617558136219658299867351186935977004238771

comment: $a^4-a^3-8a^2+27=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.3573.1

3600

1:

2.615347524611138434212723706531891111496759049426127266544946943744058178304807936238197529918709595

comment: $a^4-2a^3-7a^2+8a+1=0$; signature $(4,0)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=2$; LMFDB 4.4.3600.1

3600

2:

4.126874137791121093454562345240263742913182899766784999672065385531805685694819823560706012807160652

comment: $a^4-7a^2+16=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=2$; $w_K=4$; LMFDB 4.0.3600.2

3600

3:

4.126874137791121093454562345240263742913182899766784999672065385531805685694819823560706012807160652

comment: $a^4-5a^2+25=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=2$; $w_K=6$; LMFDB 4.0.3600.3

3600

4:

2.633915793849633417250092694615936888053963942935032959536944513840920370832887952148438026900203567

comment: $a^4+a^2+4=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=2$; $w_K=2$; LMFDB 4.0.3600.4

-3600

1:

2.360742197487120469394736282004138112333179130358676989794428984157921088165282127458227598587250056

comment: $a^4-3a^2-9=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.3600.1

3624

1:

3.411330135620626738531473782844222308614607573231727963136058307561574170324700872410020374420771636

comment: $a^4-a^3+2a^2-3a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3624.1

3625

1:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4-a^3+6a^2-a+11=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=2$; LMFDB 4.0.3625.1

-3632

1:

3.016115754197051040659617919900196920014127418863520276113228578889022140105751371713943014205129970

comment: $a^4-2a^3-2a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3632.1

3636

1:

1.956387106736481007987771426690111466934694042470494331744443897600468149032657480342701120651505055

comment: $a^4-a^3-a^2+a+4=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=2$; $w_K=2$; LMFDB 4.0.3636.1

3648

1:

4.491864937396507744238416842163696704406986018848445914831083757818212549749558369560498422085283699

comment: $a^4-2a^3-a^2+6=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.3648.1

3648

2:

3.033828346371275198616094232058261973335749752091973868839236365117419333815888788874514270704295632

comment: $a^4-2a^3-a^2+2a+3=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.3648.2

3681

1:

5.564330858942239445045989422164224594361071033518090459199065975499434591635470722850840194669116281

comment: $a^4-2a^3+11a^2-10a+28=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.3681.1

3700

1:

2.297465516527920096690679795850550362883793900036197644452632132860954163442628906761070784701481899

comment: $a^4-a^3+5a^2-3a+4=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=2$; $w_K=2$; LMFDB 4.0.3700.1

-3723

1:

2.326520086376176447580944850204817179351034533314598370618772847763233488587661124770909664841902203

comment: $a^4-a^3+a^2+3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3723.1

3725

1:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4-2a^3+8a^2-7a+11=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.3725.1

3728

1:

3.473000505270582760064263315081386462082289371737577878658046301997654318476286718240413687923054966

comment: $a^4-2a^3-5a^2+6a+13=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.3728.1

3732

1:

4.640941852053543308327334182818563912847624629396334194651191342532290538673272505953542654023745310

comment: $a^4-a^3+4a^2+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3732.1

-3747

1:

2.648640927178814641164843830975355315685317682902037486059937375183796768196131358045501853202529952

comment: $a^4-a^3+a^2-3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3747.1

-3751

1:

3.268430864839835172430571871125190354953292170587045183628233235329600879511182522093683189434992355

comment: $a^4-a^3-2a^2-3a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3751.1

3753

1:

7.734362815711950836326528543292025657161799643618103831419959839546178688197172807491193895702243217

comment: $a^4-a^3-9a^2+2a+28=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.3753.1

3753

2:

3.660543310459527377786526844856144222050793995439319435105098086510023009798136425056362791794406660

comment: $a^4-a^3+3a^2+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3753.2

3757

1:

4.189425094522202588489645692131057306906302096397346531773611959852495899391254498300858730977481602

comment: $a^4-2a^3+6a^2-5a+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.3757.1

3760

1:

2.166226730507995958728218864469261559166503496798973439089746106743552442027966368104769519828959333

comment: $a^4-2a^3-a^2+5=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3760.1

3773

1:

4.277859645751119123830269896846520585191153582962141784813053530982629942948957401476137722482590009

comment: $a^4-2a^3-2a^2+3a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.3773.1

-3775

1:

2.337995287393885420576208105961121160305368233571726304898948714801849920109986264918739311404603637

comment: $a^4-a^3+7a-11=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.3775.1

-3776

1:

2.824956729195261536775099460955256128632432110460108983831604129734066706107075210099479088381071769

comment: $a^4-2a^3-3a^2+2a+3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3776.1

-3776

2:

3.913735036080133451156037588909263224560161209034852176036522178191162213455544972473200268980667977

comment: $a^4-2a^3-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3776.2

3789

1:

2.981045066873088284286321930966848448127695619580486081082564511645821706121925970067736439197570989

comment: $a^4-a^3+11a^2-5a+25=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.3789.1

-3816

1:

3.579174364529074945888396832934355253308623869998985655966169275099290614488327855049876239476435166

comment: $a^4-a^3-a^2-2a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3816.1

3856

1:

2.785033484338026197055922992466709557844212358007195488959224232936659696751329193717602402528261061

comment: $a^4-2a^3+9a^2-8a+17=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.3856.1

-3875

1:

1.967594330505664147837337049635718700354443536795110639616786600467297996124817359511149920244673055

comment: $a^4-2a^3+4a^2-3a-9=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.3875.1

3877

1:

2.207004566136880284168260730091287088556636319974104676800035144493610417049960993560881008015626048

comment: $a^4+2a^2-a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3877.1

-3887

1:

2.402817353006203294924846964051016323869682492658966827954628646727984285598776738245700014847060766

comment: $a^4-a^3+5a-1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.3887.1

-3888

1:

4.421060263097984767111432598037861007809983974074459555077584185659573309906577238573653304691740118

comment: $a^4-2a^3-6a+3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3888.1

3889

1:

3.186266233271642218531384796480255877343938643509010473777364088521831982512998778576537680815966570

comment: $a^4-2a^3+a^2-a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3889.1

-3891

1:

2.586522901124647943034050265316903207471478990855222739178212929022594260667325123239604552624844076

comment: $a^4-a^3-4a^2+3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3891.1

3897

1:

3.037659851668862210979809340118328792276230106636565811062665593895374248148271604603197437605514767

comment: $a^4-a^3-8a^2+9a+27=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=3$; $w_K=6$; LMFDB 4.0.3897.1

-3899

1:

2.706467121943818747379019514346081950528583503539325547920665476542553103257243330973875690370469254

comment: $a^4-2a^3+2a^2+a-3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3899.1

3904

1:

4.382510947775121946270455559138395510906148171216585697593066922455381850846349954648642137471443731

comment: $a^4-2a^3-4a^2+18=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.3904.1

-3919

1:

3.357565690563753113074764098117304524096732680903892155479172892920672475907110955970017448637028755

comment: $a^4+a^2-3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3919.1

-3951

1:

3.184784264877712247878050393357926140338799296759243648574854049781599693335300139816027740767926444

comment: $a^4-a^3+2a^2+a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3951.1

-3967

1:

2.459703482280219730366317319870797654831490121956252501858759819673766001875552983234615122136247865

comment: $a^4-a^3-2a^2+5a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3967.1

3973

1:

1.611755699050916692249586442972057594493126670051615034705429574349555276645084284634610827743307618

comment: $a^4-a^3+3a^2-5a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3973.1

3981

1:

3.188939412472677164578715786872990679250867472898299156739087041644787411700620230341198459364347882

comment: $a^4-a^3-4a^2+2a+1=0$; signature $(4,0)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.4.3981.1

-3984

1:

2.872106081844185236673191896692702225004745853573208649518729474008629050723403740560156651658712062

comment: $a^4-2a^3+2a^2+6a-3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.3984.1

3988

1:

4.911108588517863346673610456570328042387223866661287113215005776688101990403135936001018479781069846

comment: $a^4-2a+4=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.3988.1

3993

1:

2.775992694421243666583547553325071909191736314982503579175973866634530805683744086009522655274229911

comment: $a^4-a^3-a^2+2a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.3993.1

4001

1:

4.020503917302913536867666007624543278891771582998861684663720778034330377901937242150924769254937605

comment: $a^4-a^3+3a^2-4a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4001.1

-4027

1:

2.972472928429473467100921852122865892204087153258405903933740112877281726521427038426778561986115467

comment: $a^4-a^3+2a-3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4027.1

-4027

2:

5.255498045444149543886517354384852928388367681776918064194147078667115504111968343077393222081289822

comment: $a^4-2a^2-a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4027.2

4032

1:

4.434620999131755795768895610326931212182331889689213644072866102424830953381177269451978503689502120

comment: $a^4-10a^2+28=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4032.1

4032

2:

8.581653672140948698391250532607674641997463769778724243061745152598298927423487631439869258536209221

comment: $a^4+10a^2+28=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4032.2

-4032

1:

4.933520049519820187422177394918185161035470055383221253149682813584088512338323170002090246135877125

comment: $a^4-2a^3-a^2-4a-2=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.4032.1

-4063

1:

3.219977349389937521152443912839959744541603305370244940171572888210806478206782205533723745263620897

comment: $a^4-a^3-3a^2-2a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4063.1

4077

1:

5.258910432719636420939541053297713803879396071440382018633990986951322382864002275448552999531372732

comment: $a^4-2a^3+12a^2-11a+31=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4077.1

-4103

1:

3.894808019917846509160047232920466925921785471966933828116360785042561416607382917904596496562876290

comment: $a^4-a^3-2a^2+5a-4=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4103.1

-4107

1:

3.639946192669694612817560991565852876944330139488761985662233829848824627180543091683616719124626124

comment: $a^4+5a^2-3=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.4107.1

-4108

1:

4.969998837725410185999316879499423013267248573764077834395448751602040911143785426910356318055164091

comment: $a^4-a^3-2a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4108.1

4112

1:

8.918954652072207059106856358250854259714836946779479726646786902107635992319845333886664991856343540

comment: $a^4+a^2-8a+16=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.4112.1

4113

1:

6.670745486136388812171912488531051237531118068943873667626377719063433165975817214000107076761812171

comment: $a^4-a^3+11a^2-8a+28=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4113.1

-4152

1:

4.276026856751264479594078318101227751382993594340412489831144430863070599592814037162530260312559610

comment: $a^4-a^3+a^2-4=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4152.1

-4192

1:

5.050415622830381106720551112807916854624578877197084406743128577220403277423397981081386461094303531

comment: $a^4+a^2-2a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4192.1

-4204

1:

5.214814568892455480655564826772089246131787776672271339768266549255302822416980064508230449981181552

comment: $a^4-2a-4=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4204.1

4205

1:

2.824284511400592578058483518631178992932725411760868079506877738094526014664018701232474297906497692

comment: $a^4-a^3-5a^2-a+1=0$; signature $(4,0)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.4.4205.1

4212

1:

5.850878844307987547031815951402965038824449811081490401655933990060211123019395172377994898571937183

comment: $a^4-a^3+3a^2+a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4212.1

4221

1:

6.944812908436921929903204514583674907658124968930724789448908954346964620369033118361392543609987817

comment: $a^4-2a^3-8a^2+9a+27=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4221.1

4221

2:

4.142638267357566096944350731852180781759387778213328920756899319710595109530159116855035225637633809

comment: $a^4-a^3-10a^2+4a+31=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4221.2

4225

1:

1.572953287800024028226741571626886097116027792151326325607337007090083690436024706708804055896758710

comment: $a^4-a^3-3a+4=0$; signature $(0,2)$; $A_4$ (4T4); $h_K=2$; $w_K=2$; LMFDB 4.0.4225.1

4225

2:

3.192577674137409390447084845773086592754796515090709415610534484474548866858381714853505999199555640

comment: $a^4-9a^2+4=0$; signature $(4,0)$; $C_2\times C_2$ (4T2); $h_K=1$; $w_K=2$; LMFDB 4.4.4225.2

4232

1:

1.429036246038769811990176858286147966840755031699186362911754368537511490938293100858972783207166223

comment: $a^4-a^3+4a^2+a+1=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=3$; $w_K=2$; LMFDB 4.0.4232.1

4240

1:

8.618918987198342644223888973078438014557835029088938070927840779536323944657296726411941667456001295

comment: $a^4-5a^2-6a+18=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.4240.1

4240

2:

4.421067404913768886799553101982141201626472473451097504684107826465262181513131440663357251687211232

comment: $a^4-a^2-8a+17=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.4240.2

4257

1:

1.512333598495908377430728483937985232396795862876077020314906884953197001509278308549524954503219220

comment: $a^4-a^3+5a^2-2a+1=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=2$; $w_K=2$; LMFDB 4.0.4257.1

-4275

1:

1.831345286822625017843220038020320720109105012946526313901035406899297059018564861812628403213631386

comment: $a^4-2a^3+a-11=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.4275.1

4281

1:

3.190087418537611915513793870492471211601277987501199975317884353594062270968485586342609597152502761

comment: $a^4-a^3-a^2+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4281.1

-4287

1:

4.016889573150433030995391991347120253687774801977308857295627178217207521716167656447157998625717754

comment: $a^4-a^3+2a^2-a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4287.1

4312

1:

6.400564620732448788121612022561137325636124741216781832304127850848652906351294389626802040422482782

comment: $a^4-a^3-3a^2-a+8=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.4312.1

4312

2:

3.012178643196120462643968215125911466082957968440029088778098226417441972680216871684949022774796406

comment: $a^4-a^3+2a^2-7a+7=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.4312.2

-4319

1:

4.088875302101913260444097498442897701702475772861404612260616091449333088357042166547798247330716078

comment: $a^4-a^3-4a^2-a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4319.1

4329

1:

3.064286266300607337418276536040106579815514097427700469982783764656666240107463605576613198920124482

comment: $a^4-a^3-10a^2+7a+31=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=6$; LMFDB 4.0.4329.1

4329

2:

3.016361863357131421685929663827933098698389570889079168768844934805877628760308615298266938720651912

comment: $a^4-a^3+11a^2-2a+28=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=6$; LMFDB 4.0.4329.2

4344

1:

3.904055380547974416587880576009343463600724703849227232666656796221531461537371741794449367426488667

comment: $a^4-a^3+4a^2-3a+5=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4344.1

4345

1:

3.620724475783039147806000643443075276994458097779801471636206921452864482445550127152394562619685423

comment: $a^4-a^3+a^2-2a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4345.1

4352

1:

2.784049264020885450516362717139937584097157943837409010025480305273584010426322941457351946928755650

comment: $a^4-8a^2+17=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=4$; LMFDB 4.0.4352.1

4352

2:

4.181672643826274348358847944362106461702166477382321044005359857109769980762039535157855693143264334

comment: $a^4-6a^2-4a+2=0$; signature $(4,0)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.4.4352.2

4352

3:

1.943025389164496813899129443705176898368996429088262101036307505592845856146407264624617489059952057

comment: $a^4-2a^2-4a+6=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=2$; LMFDB 4.0.4352.3

4360

1:

3.765088990375516815487937960825431714742739852487451115764458219734917979571955798648994955737307197

comment: $a^4-a^3+a^2+2a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4360.1

-4384

1:

5.363396380588951588076169202964160995475908666835503129449758159527685386269900319093604038181126531

comment: $a^4-2a^3+3a^2-4=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4384.1

4400

1:

3.290115885149082636666074256556703871658097975081773831468699433735614564401017915901087122043379569

comment: $a^4-7a^2+11=0$; signature $(4,0)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.4.4400.1

4400

2:

0.9624236501192068949955178268487368462703686687713210393220363376803277352164435488240188582454469500

comment: $a^4+7a^2+11=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=2$; LMFDB 4.0.4400.2

-4400

1:

2.251563249537752342980265583175615640926570887141741033349823995780577459653695654371936768655189281

comment: $a^4-a^2-11=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.4400.1

4401

1:

7.814539721681192001719656316633670557627696331081863936841998064339273124145155195884674288660453466

comment: $a^4-2a^3-9a^2+10a+28=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4401.1

-4423

1:

3.867523566399078013234487024757059798772740671676808102545571270070083879488871260297833295168252685

comment: $a^4-a^3-3a^2+4a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4423.1

-4432

1:

3.525019639601071286416473370191116920181151408195474885908400382206489944344093258023713812365459894

comment: $a^4-2a^3-a^2-4a+3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4432.1

4464

1:

8.712430838165338063162623313304102506751098537033456740776518964558392779590159943336950348251824379

comment: $a^4-11a^2+31=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4464.1

4464

2:

5.049485992975036238462572548934908697243200397656791686114167190858168262772451966396294917730668425

comment: $a^4+11a^2+31=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4464.2

-4475

1:

2.362939079930076695897966247119839191382122542799013382127944438522865443987136126001785581849680921

comment: $a^4-2a^3+2a^2-a-11=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.4475.1

4477

1:

1.677961026366074430789354714645326749173343765240423269000277458029077566143307158602541215927043113

comment: $a^4-a^3-4a+5=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.4477.1

4481

1:

2.143652390634575645542240124786428710190412659584129815293521257604581827711136843330464318818250394

comment: $a^4-a^3-2a^2+a+5=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4481.1

-4491

1:

3.365230514116183267517431512861910908843256197030480003723441388400707844665451546392024935690915688

comment: $a^4-2a^2-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4491.1

-4492

1:

5.279716721048897103555196254551382084676770437639002329466821637757612395507404328678723356898560663

comment: $a^4-a^3-a^2+a-4=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4492.1

4493

1:

2.331709058252278631861667504912629851978605704782465060579325075408544865349000315093699211354803580

comment: $a^4-a^3+4a^2-4a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4493.1

4496

1:

2.695574279591287213795396917378260540751077180936027101977455274262260524639310748567812053377671673

comment: $a^4-2a^3-a^2+2a+17=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.4496.1

-4503

1:

4.129336855892812627545338397997453518517475534077822305367116579558452580890515310358758644266482449

comment: $a^4-2a^3+a^2-3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4503.1

4508

1:

6.535674296153379107831776109990634945495170139389262344899051100236462873665652012276245893292039139

comment: $a^4-a^3-6a+8=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.4508.1

4508

2:

6.740557174568675482908143907927675901881607375016326194607602463801585973514683518701939810651067190

comment: $a^4-a^3+6a^2-2a+4=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.4508.2

4525

1:

3.055164679665898785622784045863032549948997872630643410897093989100616243130234246743544835839160899

comment: $a^4-a^3-7a^2+3a+9=0$; signature $(4,0)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.4.4525.1

-4544

1:

2.444160155175453387506198042502137840300782421638631997827907988110731661947163707658242217822436233

comment: $a^4-2a^3+a^2-6a-1=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.4544.1

-4564

1:

4.068240939529709662169222946050711734291514030871386890053290565574667046641978585021197780116587796

comment: $a^4-a^3-5a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4564.1

-4568

1:

4.538349428295367559533721196538145305777455117020852408713562984028590512020415620152187537075268356

comment: $a^4-a^3+2a^2-3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4568.1

-4595

1:

2.809794776243295128698376539956319605881400240545137250853015039739437769750538826820726528463871773

comment: $a^4-2a^3-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4595.1

4596

1:

5.519789222875198663219093409254926072581966046749081038450781109010992908717502178587142407170917394

comment: $a^4-a^3+a^2+3a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4596.1

4608

1:

2.914035387720903308802887302304554109173074369013362793480757438718906055678046459018256826028133786

comment: $a^4-6a^2+18=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=4$; LMFDB 4.0.4608.1

-4608

1:

4.946008839806170999053540632389528025800059904747651917033764160670786792876069031177600121735548975

comment: $a^4-2a^2-2=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.4608.1

-4608

2:

3.362685706427419960289007947176190345694405807446070595047978439476469631599886996341631345516619582

comment: $a^4+2a^2-2=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.4608.2

-4615

1:

3.619912074971109811623148106167527805194378727176388753961935980461814617245111135595850144996955845

comment: $a^4-a^3+a^2-4a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4615.1

4624

1:

4.189425094522202588489645692131057306906302096397346531773611959852495899391254498300858730977481602

comment: $a^4+9a^2+16=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=2$; $w_K=4$; LMFDB 4.0.4624.1

-4648

1:

3.847702334951816020190075214407683146077224890232973919327897282660017624503704217605388811929208209

comment: $a^4+a^2-6a-4=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4648.1

4649

1:

4.222085117193611421382342917562318460403767238549877021493015693978355591771301143041487738466140802

comment: $a^4+3a^2-3a+2=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4649.1

-4652

1:

5.357324235426876270172009511009896645647371751963569190559613610629048217655579960950261885524387554

comment: $a^4-a^3-3a^2+5a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4652.1

-4663

1:

3.404631796286538081559957381158609606928500619814209861210912933844729296506588235826912504277505691

comment: $a^4-a^3+2a^2-5a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4663.1

-4671

1:

4.465930617350339793986000457032245124309777011322135330835070417208500874971407208940513972382091333

comment: $a^4-2a^3+3a^2+a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4671.1

4672

1:

4.221877599301990598528543194199776309182609749427180756138034186254092357490948851129613521039225601

comment: $a^4-2a^3+3a^2+4a+2=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.4672.1

4672

2:

1.762747174039086050465218649959584618056320656523270821506591217306754368444052175667413783820512086

comment: $a^4-2a^3+5a^2-2a+7=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.4672.2

-4675

1:

2.427768436637555656475256299261093592182690949012262967413137681822257003081020455196958072373096995

comment: $a^4-2a^3-3a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4675.1

4684

1:

4.046573555669591797191022310438495194935211754245533852969696756352745780001542901462412869811790737

comment: $a^4-a^3-2a^2-a+5=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4684.1

-4703

1:

3.456521494633148793345837108427414580887379462209366515416629645002957020304942117743026031212328892

comment: $a^4-3a^2-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4703.1

4725

1:

3.040161134150384711958551117169295423110494395158775170070233231640588551591363731275506582620516355

comment: $a^4-a^3+12a^2-4a+31=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=6$; LMFDB 4.0.4725.1

4729

1:

3.638060713261631826921419307976909764789907969417935605875896458283830848669043715846529113045984211

comment: $a^4+3a^2-a+4=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4729.1

-4744

1:

3.907280477518859325554244694300679300775747603779267819069223286683422527194797955609017480010193554

comment: $a^4-3a^2-4a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4744.1

-4748

1:

5.434771956582878635391800397481390904329909387977299071856243703873855594298067347584620897223589879

comment: $a^4-a^3-3a^2-a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4748.1

4749

1:

1.938860959041780884266210922758015681477045992748929612795294686404891395383939430250983118470817472

comment: $a^4-a^3-a^2+3a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4749.1

4752

1:

3.705337159498718731851648517168556712377023927921633916055038219705641092269380428090726229895969604

comment: $a^4-2a^3-3a^2+4a+1=0$; signature $(4,0)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.4.4752.1

4752

2:

2.633915793849633417250092694615936888053963942935032959536944513840920370832887952148438026900203567

comment: $a^4+3a^2-6a+6=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=2$; $w_K=2$; LMFDB 4.0.4752.2

-4752

1:

3.732900348499022975807708880028261170783523746992110531258090768373978599515762482725570207603480107

comment: $a^4-3a^2-2a+3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4752.1

4761

1:

3.217271971157257876255315585381411341351206558884243566266455058728955257874538807863329768195266715

comment: $a^4-a^3-5a^2-6a+36=0$; signature $(0,2)$; $C_2\times C_2$ (4T2); $h_K=3$; $w_K=6$; LMFDB 4.0.4761.1

-4775

1:

2.727318927566263137907426621046811362300570561384794923188562940728974345281752143961033519064705597

comment: $a^4-a^3+2a^2-9a-9=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.4775.1

-4780

1:

5.679907699413980056104400015207262585916316704071310514570785561751209823615241259735037316014436197

comment: $a^4-a^3-3a^2-3a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4780.1

-4799

1:

3.550593323115778314973616506945173173082369459742099935852581755733531004292570405580044041381569872

comment: $a^4-a^3-4a^2+5a+3=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4799.1

4805

1:

1.803582672465436704684869114871268006392304131804860800435297721498888706618148639337229693570930819

comment: $a^4-2a^3+2a^2-a+8=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=3$; $w_K=2$; LMFDB 4.0.4805.1

4825

1:

3.142138141166654936681260863992758251065237126726396735167706081519767377470855919892792484432282737

comment: $a^4-a^3+2a^2-3a+5=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4825.1

-4832

1:

6.431643308718848312022747431397886036864376159244194670757557200251072481134493689730308679249392781

comment: $a^4-a^2-4a-2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4832.1

4857

1:

5.112077405440804223146868427424744529400500667309118713285990620319428541024676660242152903574193348

comment: $a^4-a^3+5a^2-2a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4857.1

-4864

1:

3.766053122426352033439400347096670793888007238137712406251836624799578149901325045496322874077731098

comment: $a^4-4a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4864.1

4869

1:

3.181721646873791204162573835144273580032614707023003629981832000626718534764261752620247176063473340

comment: $a^4-2a^3-10a^2+11a+31=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4869.1

4880

1:

4.479031725022562537006057853990385468914400452774775435141598784123435183522431865641633149283083778

comment: $a^4-2a^3-7a^2+8a+17=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.4880.1

4880

2:

10.61803342755599669393469706193914933079769751868664472882509776505699265865000243587872497099110698

comment: $a^4-3a^2-8a+20=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=4$; LMFDB 4.0.4880.2

4892

1:

4.671533873525360258350425042692636845834701164093289831589368954411853612107142404029907921856047355

comment: $a^4-a^3-a+3=0$; signature $(0,2)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.0.4892.1

4901

1:

2.389526434574218608223861657038181047072324150306010858541360598922648191661925060537743228578628751

comment: $a^4-2a^3+6a^2-5a+3=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.0.4901.1

-4907

1:

2.670657723091356926312543484376205070447914021887927440728012585815089317249802158138953701083720564

comment: $a^4-a^3-2a^2-4a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4907.1

4913

1:

3.461988732275068829140467313317236035559890656002543126647565461139527049401624559121738246498094022

comment: $a^4-a^3-6a^2+a+1=0$; signature $(4,0)$; $C_4$ (4T1); $h_K=1$; $w_K=2$; LMFDB 4.4.4913.1

-4944

1:

3.254106826001936152400281292435052108705283205351386255398172399383659961745647874419578408420238371

comment: $a^4-a^2-4a-1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4944.1

-4975

1:

3.215521038387780019875487590751389594624329158266784281754841955920577552937533275009849324154675614

comment: $a^4-a^3-2a^2-7a-11=0$; signature $(2,1)$; $D_4$ (4T3); $h_K=1$; $w_K=2$; LMFDB 4.2.4975.1

4977

1:

10.24522438027487136036832206750196677806862505268177299532705069204498796634783464078784588794068041

comment: $a^4-a^3-11a^2+6a+36=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4977.1

4977

2:

7.030310875940406023153182152056061282652653562764386025323715739827630133614389714338236661416029798

comment: $a^4-a^3-10a^2+a+37=0$; signature $(0,2)$; $D_4$ (4T3); $h_K=1$; $w_K=6$; LMFDB 4.0.4977.2

-4979

1:

2.830838332062780462537325256776000606858943317041532365283732095065744121675339421184404691236021277

comment: $a^4-a^3-a^2-3a+1=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4979.1

-4999

1:

3.790436749969642366718702834063912044786653006155205998531458460388939986741266573333106886223679645

comment: $a^4-2a^3-a^2-a+2=0$; signature $(2,1)$; $S_4$ (4T5); $h_K=1$; $w_K=2$; LMFDB 4.2.4999.1