Number field search results

Results (1-50 of 64 matches)

 

Label	Polynomial	Degree	Signature	Discriminant	Ram. prime count	Root discriminant	CM field	Galois	Monogenic	Galois group	Class group	Unit group torsion	Unit group rank	Regulator
38.2.108...821.1	x^38 - x - 1	$38$	[2,18]	$624808693\cdot 17\!\cdots\!97$	$2$	$38.0097638537$			✓	$S_{38}$ (as 38T76)	trivial	$2$	$19$	$900165801403525.9$
38.0.282...776.1	x^38 - 2x^19 + 2	$38$	[0,19]	$-\,2^{56}\cdot 19^{38}$	$2$	$52.7687434194$			✓	$C_2\times F_{19}$ (as 38T9)	trivial	$4$	$18$	$1117851098845078000$
38.0.176...083.1	x^38 - 3x^19 + 3	$38$	[0,19]	$-\,3^{37}\cdot 19^{38}$	$2$	$55.3756750125$			✓	$C_2\times F_{19}$ (as 38T9)	trivial	$6$	$18$	$3410189640739071500$
38.2.290...489.1	x^38 - 4x - 1	$38$	[2,18]	$11149\cdot 365159\cdot 14342233\cdot 49\!\cdots\!63$	$4$	$67.2919716533$			not computed	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.2.290...352.1	x^38 - 2x - 1	$38$	[2,18]	$2^{39}\cdot 199\cdot 28308359\cdot 2683125188231\cdot 180622253751001441\cdot 1933097818431428689$	$6$	$67.291971654$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.0.789...744.1	x^38 - 4x + 4	$38$	[0,19]	$-\,2^{38}\cdot 3\cdot 1061\cdot 24469\cdot 188414113\cdot 393131311\cdot 49\!\cdots\!91$	$7$	$69.087701074$			not computed	$S_{38}$ (as 38T76)	not computed	$2$	$18$	$$
38.2.768...792.1	x^38 - 4x - 4	$38$	[2,18]	$2^{38}\cdot 727\cdot 5261563\cdot 73\!\cdots\!93$	$4$	$73.35163813$			not computed	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.0.144...440.1	x^38 - 2x + 2	$38$	[0,19]	$-\,2^{38}\cdot 5\cdot 41\cdot 367\cdot 263591\cdot 73599203\cdot 4905513061473881\cdot 73660168063921443246200957$	$8$	$74.5873673916$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$18$	$$
38.0.147...971.1	x^38 - x + 2	$38$	[0,19]	$-\,27991188787\cdot 52\!\cdots\!33$	$2$	$74.626272613$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$18$	$$
38.0.147...488.1	x^38 + 2	$38$	[0,19]	$-\,2^{75}\cdot 19^{38}$	$2$	$74.626272613$			✓	$C_2\times F_{19}$ (as 38T9)	trivial	$2$	$18$	$584782896068373250000$
38.2.147...488.1	x^38 - 2	$38$	[2,18]	$2^{75}\cdot 19^{38}$	$2$	$74.626272613$			✓	$C_2\times F_{19}$ (as 38T9)	trivial	$2$	$19$	$541671220201208600000$
38.2.150...536.1	x^38 - 2x - 2	$38$	[2,18]	$2^{38}\cdot 3\cdot 18\!\cdots\!23$	$3$	$74.6644415557$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.2.284...125.1	x^38 - 5	$38$	[2,18]	$5^{37}\cdot 19^{38}$	$2$	$91.0604218291$			not computed	$C_2\times F_{19}$ (as 38T9)	not computed	$2$	$19$	$$
38.2.142...317.1	x^38 - 3x - 1	$38$	[2,18]	$487\cdot 521\cdot 4519\cdot 26317\cdot 11892563\cdot 39\!\cdots\!79$	$6$	$100.93795748$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.0.470...339.1	x^38 - 3x + 3	$38$	[0,19]	$-\,3^{37}\cdot 11\cdot 71\cdot 7880009\cdot 21435017\cdot 79\!\cdots\!21$	$6$	$110.664319059$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$18$	$$
38.0.484...304.1	x^38 - 2x + 3	$38$	[0,19]	$-\,2^{39}\cdot 523\cdot 599\cdot 213961453\cdot 35576001825507809\cdot 36\!\cdots\!27$	$6$	$110.751350008$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$18$	$$
38.2.484...352.1	x^38 - 3	$38$	[2,18]	$2^{38}\cdot 3^{37}\cdot 19^{38}$	$3$	$110.751350025$			✓	$C_2\times F_{19}$ (as 38T9)	not computed	$2$	$19$	$$
38.2.498...365.1	x^38 - 3x - 3	$38$	[2,18]	$3^{37}\cdot 5\cdot 22\!\cdots\!71$	$3$	$110.835921845$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.2.948...304.1	x^38 - 4x - 3	$38$	[2,18]	$2^{38}\cdot 40980168689701\cdot 203965927976641\cdot 41\!\cdots\!51$	$4$	$112.728018653$			not computed	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.2.319...232.1	x^38 - 4x - 2	$38$	[2,18]	$2^{75}\cdot 3\cdot 23\cdot 277\cdot 1513583473\cdot 5473293451459721\cdot 5332978185985420820488513531$	$7$	$123.65319833$			not computed	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.2.797...824.1	x^38 - 4x + 2	$38$	[2,18]	$2^{75}\cdot 7\cdot 47\cdot 64\!\cdots\!17$	$4$	$134.583943306$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.2.797...008.1	x^38 - 4x + 1	$38$	[2,18]	$2^{38}\cdot 3\cdot 811\cdot 2302291\cdot 51\!\cdots\!69$	$5$	$134.583943307$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.0.508...072.1	x^38 - 2x + 4	$38$	[0,19]	$-\,2^{36}\cdot 3\cdot 7\cdot 269683\cdot 243410960929\cdot 53\!\cdots\!41$	$6$	$141.304573961$			not computed	$S_{38}$ (as 38T76)	not computed	$2$	$18$	$$
38.2.508...096.1	x^38 - 2x - 4	$38$	[2,18]	$2^{36}\cdot 101\cdot 919\cdot 1949\cdot 3539\cdot 185240700233\cdot 17140715362231\cdot 36\!\cdots\!23$	$8$	$141.304573961$			not computed	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.2.203...853.1	x^38 - x - 4	$38$	[2,18]	$773\cdot 4813\cdot 6781\cdot 44087\cdot 282407\cdot 4622799406751\cdot 23120981570369\cdot 60\!\cdots\!47$	$8$	$146.554751687$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.0.250...631.1	x^38 - x^37 + 3x^36 - 11x^35 + 44x^34 + 732x^33 - 116x^32 + 2069x^31 + 2818x^30 - 12880x^29 + 93246x^28 - 145805x^27 + 92780x^26 + 2105124x^25 - 3183002x^24 - 3104601x^23 + 12583923x^22 + 9706311x^21 + 21916307x^20 - 49619666x^19 + 22159929x^18 - 196911474x^17 + 1026982112x^16 + 311788273x^15 - 1106984612x^14 - 334730951x^13 - 1752540110x^12 + 3801710744x^11 + 7280378790x^10 + 1308968234x^9 - 6926602921x^8 - 6856588968x^7 + 18604485712x^6 + 18058309277x^5 + 9272912074x^4 - 5214869030x^3 - 1463327624x^2 + 5326526527x + 2048986499	$38$	[0,19]	$-\,191^{37}$	$1$	$166.343629548$	✓	✓	not computed	$C_{38}$ (as 38T1)	not computed	$2$	$18$	$$
38.2.383...821.1	x^38 - 5x + 1	$38$	[2,18]	$3\cdot 4921063777787\cdot 26\!\cdots\!61$	$3$	$168.229929133$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.2.383...429.1	x^38 - 5x - 1	$38$	[2,18]	$163\cdot 315952440047\cdot 735114279983971219\cdot 10\!\cdots\!31$	$4$	$168.229929133$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.2.912...125.1	x^38 - 5x - 5	$38$	[2,18]	$5^{37}\cdot 131\cdot 181\cdot 2011\cdot 898776624172831\cdot 29\!\cdots\!71$	$6$	$172.105717768$			not computed	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.0.195...488.1	x^38 - 2x + 5	$38$	[0,19]	$-\,2^{39}\cdot 13\cdot 35869\cdot 88799\cdot 604309\cdot 6594677\cdot 27890279\cdot 25456155281264080123\cdot 303856164543774260275357$	$9$	$175.59654618$			not computed	$S_{38}$ (as 38T76)	not computed	$2$	$18$	$$
38.0.744...875.1	x^38 - 5x + 5	$38$	[0,19]	$-\,5^{37}\cdot 23\cdot 139\cdot 299699\cdot 9433691167\cdot 85263102703\cdot 14613295519063\cdot 90847825344374471$	$8$	$181.879952061$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$18$	$$
38.0.782...987.1	x^38 - 3x + 5	$38$	[0,19]	$-\,313\cdot 1019481121\cdot 8471154741571\cdot 28\!\cdots\!89$	$4$	$182.120843657$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$18$	$$
38.0.782...000.1	x^38 + 5	$38$	[0,19]	$-\,2^{38}\cdot 5^{37}\cdot 19^{38}$	$3$	$182.120843658$			✓	$C_2\times F_{19}$ (as 38T9)	not computed	$2$	$18$	$$
38.2.782...517.1	x^38 - x - 5	$38$	[2,18]	$3\cdot 4441\cdot 68315627\cdot 8533124051989\cdot 10\!\cdots\!93$	$5$	$182.120843658$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.2.782...048.1	x^38 - 2x - 5	$38$	[2,18]	$2^{39}\cdot 3\cdot 17\cdot 929\cdot 26261\cdot 1587413\cdot 12103709\cdot 158015743\cdot 1243193510457304691\cdot 30321616657803787127474779$	$10$	$182.120843658$			✓	$S_{38}$ (as 38T76)	not computed	$2$	$19$	$$
38.38.206...109.1	x^38 - x^37 - 111x^36 + 252x^35 + 5215x^34 - 18518x^33 - 127217x^32 + 667591x^31 + 1483161x^30 - 13721975x^29 + 465004x^28 + 166721208x^27 - 256518740x^26 - 1121099509x^25 + 3587854285x^24 + 2545487107x^23 - 24194172078x^22 + 18477975516x^21 + 81929300895x^20 - 167013913064x^19 - 73340427022x^18 + 542830510766x^17 - 389253844535x^16 - 713755295161x^15 + 1324741808499x^14 - 116683382685x^13 - 1503618080692x^12 + 1234820609168x^11 + 402888989840x^10 - 1097103201368x^9 + 414161581992x^8 + 265775405099x^7 - 274544542564x^6 + 51663795877x^5 + 34067812864x^4 - 20708103251x^3 + 4233902513x^2 - 281738990x - 6131569	$38$	[38,0]	$229^{37}$	$1$	$198.488133851$		✓	not computed	$C_{38}$ (as 38T1)	not computed	$2$	$37$	$$
38.0.152...747.1	x^38 - x^37 + 91x^36 - 24x^35 + 5113x^34 - 166x^33 + 173717x^32 + 27194x^31 + 4239797x^30 + 1325317x^29 + 74027272x^28 + 40999344x^27 + 983326589x^26 + 743120555x^25 + 10059741791x^24 + 9563481092x^23 + 81070213075x^22 + 87547591746x^21 + 511882174610x^20 + 601337789804x^19 + 2539884758984x^18 + 3042827513863x^17 + 9675050790560x^16 + 11543123809355x^15 + 28268796522511x^14 + 31776668507252x^13 + 60600608962241x^12 + 63076854532617x^11 + 95016529831875x^10 + 85766481354393x^9 + 98440678914956x^8 + 74640315704381x^7 + 67352150639088x^6 + 40110464366364x^5 + 23287561297245x^4 + 7350839404496x^3 + 1810153278801x^2 + 182761486103x + 13841287201	$38$	[0,19]	$-\,3^{19}\cdot 191^{36}$	$2$	$250.922500573$	✓	✓		$C_{38}$ (as 38T1)	not computed	$6$	$18$	$$
38.0.223...259.1	x^38 - 209x^35 + 190x^34 + 1292x^33 + 11818x^32 - 17860x^31 - 124165x^30 + 92378x^29 - 315590x^28 + 461434x^27 + 19355661x^26 + 42336256x^25 - 170675214x^24 - 2184021538x^23 + 4055379323x^22 + 20028771815x^21 - 37281886089x^20 - 119372774190x^19 + 206222273796x^18 + 638565435242x^17 - 1510749792677x^16 - 1246896758667x^15 + 6615154002166x^14 + 1497131351993x^13 + 895955914113x^12 - 6914578071407x^11 + 51068057863185x^10 + 80278712330599x^9 - 10972845112675x^8 + 78343381011053x^7 + 257531197354487x^6 + 248070995565179x^5 + 172436840306532x^4 + 97988777901672x^3 + 65070800259551x^2 + 24610290628033x + 5454582062023	$38$	[0,19]	$-\,19^{73}$	$1$	$286.123131947$	✓	✓	not computed	$C_{38}$ (as 38T1)	not computed	$2$	$18$	$$
38.38.290...677.1	x^38 - x^37 - 188x^36 + 180x^35 + 15133x^34 - 12829x^33 - 695929x^32 + 470210x^31 + 20560148x^30 - 9452291x^29 - 414286793x^28 + 90520176x^27 + 5875939616x^26 + 191303612x^25 - 59496127537x^24 - 16762796308x^23 + 430644226744x^22 + 224673611403x^21 - 2206305371572x^20 - 1655031822292x^19 + 7828656065108x^18 + 7607383848877x^17 - 18551523651529x^16 - 22355418258850x^15 + 27686404325779x^14 + 41724858463028x^13 - 23225313872578x^12 - 48637857116067x^11 + 6837701957301x^10 + 34223650023543x^9 + 4693738691921x^8 - 13444562674843x^7 - 4790142874347x^6 + 2352031466145x^5 + 1507820068977x^4 + 14043380009x^3 - 154333274880x^2 - 38062864399x - 2836879451	$38$	[38,0]	$3^{19}\cdot 191^{37}$	$2$	$288.115617892$		✓	not computed	$C_{38}$ (as 38T1)	not computed	$2$	$37$	$$
38.0.360...904.1	x^38 + 181x^36 + 14302x^34 + 655785x^32 + 19564842x^30 + 403491764x^28 + 5961216274x^26 + 64460499272x^24 + 516273473421x^22 + 3076728313208x^20 + 13620343868498x^18 + 44444158242663x^16 + 105381413708670x^14 + 177560394917737x^12 + 205585970435602x^10 + 155336297697903x^8 + 70268784621098x^6 + 16089414412134x^4 + 1207108975793x^2 + 13841287201	$38$	[0,19]	$-\,2^{38}\cdot 191^{36}$	$2$	$289.740346504$	✓	✓	not computed	$C_{38}$ (as 38T1)	not computed	$4$	$18$	$$
38.0.104...707.1	x^38 - x^37 + 109x^36 - 318x^35 + 7607x^34 - 26082x^33 + 346271x^32 - 1277601x^31 + 11625429x^30 - 40847577x^29 + 278354747x^28 - 890102893x^27 + 4876149460x^26 - 13377962627x^25 + 59213347219x^24 - 129738898417x^23 + 497734200105x^22 - 864588650146x^21 + 3071362959747x^20 - 3938571660134x^19 + 13635086341776x^18 - 11900678948488x^17 + 45427254629183x^16 - 23117165748554x^15 + 104447793269632x^14 - 20670309199584x^13 + 172563580620384x^12 + 14666610274324x^11 + 167592119930922x^10 + 69948796872392x^9 + 125341715722354x^8 + 63681900889938x^7 + 64136735752211x^6 + 36520042111943x^5 + 22298249070088x^4 + 8329262399475x^3 + 2645555104756x^2 + 468857415513x + 63175314409	$38$	[0,19]	$-\,3^{19}\cdot 229^{36}$	$2$	$297.98488963$	✓	✓	not computed	$C_{38}$ (as 38T1)	not computed	$6$	$18$	$$
38.38.249...125.1	x^38 - 17x^37 - 64x^36 + 2589x^35 - 5411x^34 - 156768x^33 + 733103x^32 + 4788192x^31 - 35074270x^30 - 69778288x^29 + 937716801x^28 - 3988006x^27 - 15662818901x^26 + 18940301798x^25 + 169186329709x^24 - 366424944806x^23 - 1167394423359x^22 + 3780063487716x^21 + 4693995261962x^20 - 24515638087910x^19 - 6315614627194x^18 + 103828189076722x^17 - 36155927083660x^16 - 285274970106320x^15 + 223944436674986x^14 + 486329219734937x^13 - 571966582999537x^12 - 458764738319995x^11 + 781485719820911x^10 + 160103399248715x^9 - 557488639455834x^8 + 53135732479684x^7 + 180915511892981x^6 - 38184876354047x^5 - 25486623807243x^4 + 6173666606950x^3 + 1214949029058x^2 - 273982926995x + 184740541	$38$	[38,0]	$5^{19}\cdot 191^{36}$	$2$	$323.939555303$		✓	not computed	$C_{38}$ (as 38T1)	not computed	$2$	$37$	$$
38.38.687...664.1	x^38 - 191x^36 + 15662x^34 - 730575x^32 + 21705622x^30 - 436357836x^28 + 6157331558x^26 - 62411853712x^24 + 460944322269x^22 - 2499589479956x^20 + 9974553348782x^18 - 29202012585177x^16 + 62167403988174x^14 - 94680464008195x^12 + 100459885220950x^10 - 71207905317537x^8 + 31469275400290x^6 - 7629511512714x^4 + 744125807285x^2 - 1101076991	$38$	[38,0]	$2^{38}\cdot 191^{37}$	$2$	$332.687259095$		✓		$C_{38}$ (as 38T1)	not computed	$2$	$37$	$$
38.0.239...903.1	x^38 - x^37 + 118x^36 - 435x^35 + 6131x^34 - 35235x^33 + 222008x^32 - 1286466x^31 + 5995377x^30 - 26936649x^29 + 103513172x^28 - 328397860x^27 + 831795745x^26 - 841346468x^25 - 6703672958x^24 + 58117415411x^23 - 303731983764x^22 + 1218275129036x^21 - 3767355799065x^20 + 7961894667643x^19 - 2218796696910x^18 - 81504663492211x^17 + 502603614584717x^16 - 2027971305796085x^15 + 6509260330141933x^14 - 17551631941921428x^13 + 40524896388301467x^12 - 80503012777500047x^11 + 136388077021556601x^10 - 193370722349898757x^9 + 226309207994588218x^8 - 220960831577107827x^7 + 187038155057537519x^6 - 141423416677434751x^5 + 93202974532409581x^4 - 51592635735804780x^3 + 25439606449082092x^2 - 11768916674310345x + 3447647463127489	$38$	[0,19]	$-\,3^{19}\cdot 229^{37}$	$2$	$343.791532529$	✓	✓	not computed	$C_{38}$ (as 38T1)	not computed	$2$	$18$	$$
38.0.247...624.1	x^38 + 217x^36 + 20630x^34 + 1139565x^32 + 40850264x^30 + 1004488522x^28 + 17454519530x^26 + 217550145613x^24 + 1954462763213x^22 + 12621446315235x^20 + 58044125409037x^18 + 187171442808726x^16 + 413962321806804x^14 + 609555286857416x^12 + 575420256350720x^10 + 333058518278260x^8 + 111675903836641x^6 + 20190511272319x^4 + 1811471395871x^2 + 63175314409	$38$	[0,19]	$-\,2^{38}\cdot 229^{36}$	$2$	$344.083312485$	✓	✓	not computed	$C_{38}$ (as 38T1)	not computed	$4$	$18$	$$
38.0.105...139.1	x^38 - x^37 + 6x^36 - 46x^35 - 866x^34 - 2262x^33 - 8218x^32 - 21902x^31 + 431634x^30 + 845654x^29 + 12392062x^28 + 22625646x^27 + 131347110x^26 + 99749222x^25 + 35665294x^24 - 866315187x^23 - 258426421x^22 + 17785842992x^21 + 90256146871x^20 + 153552360949x^19 + 435041961961x^18 - 1392669637447x^17 + 1076840441256x^16 - 9935143209215x^15 + 31070017846749x^14 - 17675958023404x^13 + 138250934902501x^12 - 327233950365006x^11 + 433153745352823x^10 - 1944991946784557x^9 + 5889532748622531x^8 - 11577094600459131x^7 + 25495193933767723x^6 - 50712315827213047x^5 + 74651226530405679x^4 - 82308207923451862x^3 + 77528185035084423x^2 - 59368882440546583x + 25758699005655811	$38$	[0,19]	$-\,419^{37}$	$1$	$357.444312198$	✓	✓		$C_{38}$ (as 38T1)	not computed	$2$	$18$	$$
38.0.477...875.1	x^38 - x^37 + 194x^36 - 202x^35 + 16279x^34 - 7863x^33 + 772861x^32 + 402596x^31 + 23045822x^30 + 40384193x^29 + 479536671x^28 + 1351816180x^27 + 7928555878x^26 + 25902608554x^25 + 111456458601x^24 + 341385389946x^23 + 1297163210108x^22 + 3493633650369x^21 + 12095301942774x^20 + 29754895552994x^19 + 90602135732080x^18 + 209292172135889x^17 + 578704163180687x^16 + 1150796400064466x^15 + 3249066298571457x^14 + 4892053641982278x^13 + 14078439508345248x^12 + 18448183569455711x^11 + 46083907583218775x^10 + 65495333977938485x^9 + 111449247373051429x^8 + 177739871270855783x^7 + 253288222342260757x^6 + 334042708854918147x^5 + 456173375797126253x^4 + 247500381632980217x^3 + 331215018154218380x^2 + 303420818935344453x + 79580728329881359	$38$	[0,19]	$-\,5^{19}\cdot 191^{37}$	$2$	$371.955663293$	✓	✓		$C_{38}$ (as 38T1)	not computed	$2$	$18$	$$
38.38.261...857.1	x^38 - x^37 - 222x^36 + 479x^35 + 21047x^34 - 66053x^33 - 1110228x^32 + 4495506x^31 + 35823405x^30 - 180946047x^29 - 731415663x^28 + 4712734359x^27 + 9238434306x^26 - 83665939703x^25 - 59973164681x^24 + 1044644450973x^23 - 101098208429x^22 - 9336414182461x^21 + 6288159462034x^20 + 60150648390199x^19 - 67252981484387x^18 - 278611442416743x^17 + 417500804951451x^16 + 915079337067075x^15 - 1716002791423036x^14 - 2065408719688167x^13 + 4825202788269126x^12 + 2982003177766905x^11 - 9269437748788275x^10 - 2187058821094830x^9 + 11855288436035595x^8 - 411608485430453x^7 - 9515695267587717x^6 + 2357948299236310x^5 + 4196479083397002x^4 - 1892165812751211x^3 - 650631784472963x^2 + 526610168112801x - 83497743723127	$38$	[38,0]	$457^{37}$	$1$	$388.972058577$		✓	not computed	$C_{38}$ (as 38T1)	not computed	$2$	$37$	$$
38.0.566...896.1	x^38 + 229x^36 + 22442x^34 + 1242325x^32 + 43174744x^30 + 989928070x^28 + 15310092242x^26 + 160462320009x^24 + 1129846290713x^22 + 5241767939799x^20 + 15619544332617x^18 + 29338707057674x^16 + 34962128493052x^14 + 26729901012072x^12 + 13161379227544x^10 + 4139430890096x^8 + 811133080337x^6 + 94183964323x^4 + 5864318791x^2 + 149876149	$38$	[0,19]	$-\,2^{38}\cdot 229^{37}$	$2$	$396.976267701$	✓	✓	not computed	$C_{38}$ (as 38T1)	not computed	$2$	$18$	$$
38.0.136...787.1	x^38 + 171x^36 - 266x^35 + 17765x^34 - 38323x^33 + 1208419x^32 - 3128616x^31 + 60877083x^30 - 164538138x^29 + 2281935169x^28 - 6108816122x^27 + 65770773122x^26 - 164067939585x^25 + 1434043198618x^24 - 3182597959136x^23 + 23807715304970x^22 - 44488778447299x^21 + 291967423046375x^20 - 424722852053838x^19 + 2667130160996125x^18 - 2974990157993691x^17 + 18341053997864450x^16 - 14685757775285777x^15 + 92760878311304464x^14 - 59049250104163667x^13 + 342353164732402796x^12 - 172475502215832115x^11 + 890393108976853995x^10 - 452012764582067042x^9 + 1563583757111096932x^8 - 707974172043966504x^7 + 1816769368682524829x^6 - 831929210861393479x^5 + 1134167336866808190x^4 - 228910989279510535x^3 + 271437005032832706x^2 - 30519054068376079x + 49228485006254761	$38$	[0,19]	$-\,3^{19}\cdot 19^{72}$	$2$	$458.629712312$	✓	✓	not computed	$C_{38}$ (as 38T1)	not computed	$6$	$18$	$$