p = 503 :

\chi = \chi_{503}^{251}
f(\chi) = 503
ord(\chi) = 2

h_{2}(503) = 2 * N(-B_{1,\chi}/2) =
21
= 3 * 7
-----
\chi = \chi_{503}
f(\chi) = 503
ord(\chi) = 502

h_{502}(503) = 503 * N(-B_{1,\chi}/2) =
266215584162359502140410568457865825436929465738536699862019949928160879610423139727194223787760772482677366624201341166180982190542852846663
= 15061 * 182337132259 * 67961871500791 * 1426393059443963956629111805923533484420318131081450920505530106099684339754321688566291891565574466073368455407
-----
-----
p = 509 :

\chi = \chi_{509}^{127}
f(\chi) = 509
ord(\chi) = 4

h_{4}(509) = 2 * N(-B_{1,\chi}/2) =
13
= p(2)
-----
\chi = \chi_{509}
f(\chi) = 509
ord(\chi) = 508

h_{508}(509) = 509 * N(-B_{1,\chi}/2) =
113356913393377727127827103817237351636552061578784499343050093050541522303661144488619260756827331990221782091564990199335291686703341360133249
= 1102305661663669 * 3595837345204924707130453993 * 28598676513738608267713121087496232799415440255061301561441498654903596698585740492754620192308152597
-----
-----
p = 521 :

\chi = \chi_{521}^{65}
f(\chi) = 521
ord(\chi) = 8

h_{8}(521) = 2 * N(-B_{1,\chi}/2) =
97
= p(2)
-----
\chi = \chi_{521}^{13}
f(\chi) = 521
ord(\chi) = 40

h_{40}(521) = N(-B_{1,\chi}/2) =
6872774401
= 761 * 1601 * 5641
-----
\chi = \chi_{521}^5
f(\chi) = 521
ord(\chi) = 104

h_{104}(521) = N(-B_{1,\chi}/2) =
191264690708963363550137
= 5344249 * 26548393 * 1348062041
-----
\chi = \chi_{521}
f(\chi) = 521
ord(\chi) = 520

h_{520}(521) = 521 * N(-B_{1,\chi}/2) =
279612794592709797127999293702813627924123160382111797751175720816816648046869784263179307057236120886451270030001
= 79^2 * 64682281 * 40157581461065433467870041 * 17248446331642905635172784462381447748387796620955271179463262737155474753041
-----
-----
p = 523 :

\chi = \chi_{523}^{261}
f(\chi) = 523
ord(\chi) = 2

h_{2}(523) = 2 * N(-B_{1,\chi}/2) =
5
= p(1)
-----
\chi = \chi_{523}^{87}
f(\chi) = 523
ord(\chi) = 6

h_{6}(523) = N(-B_{1,\chi}/2) =
13
= p(2)
-----
\chi = \chi_{523}^{29}
f(\chi) = 523
ord(\chi) = 18

h_{18}(523) = N(-B_{1,\chi}/2) =
811
= p(3)
-----
\chi = \chi_{523}^9
f(\chi) = 523
ord(\chi) = 58

h_{58}(523) = N(-B_{1,\chi}/2) =
16977324135954223
= 59^3 * 82663388837
-----
\chi = \chi_{523}^3
f(\chi) = 523
ord(\chi) = 174

h_{174}(523) = N(-B_{1,\chi}/2) =
2270198826037423907080571436871
= 349 * 523 * 5967679 * 2084161285822490887
-----
\chi = \chi_{523}
f(\chi) = 523
ord(\chi) = 522

h_{522}(523) = 523 * N(-B_{1,\chi}/2) =
140953861366244629690629006262647461536009444625526415815113037137690007827335976268559721112467281
= 1071156007 * 10985382469 * 370924051068546652788823 * 2173547132520841902327692923 * 14857817227110538093873042183
-----
-----
p = 541 :

\chi = \chi_{541}^{135}
f(\chi) = 541
ord(\chi) = 4

h_{4}(541) = 2 * N(-B_{1,\chi}/2) =
61
= p(2)
-----
\chi = \chi_{541}^{45}
f(\chi) = 541
ord(\chi) = 12

h_{12}(541) = N(-B_{1,\chi}/2) =
37
= p(2)
-----
\chi = \chi_{541}^{27}
f(\chi) = 541
ord(\chi) = 20

h_{20}(541) = N(-B_{1,\chi}/2) =
14801
= 19^2 * 41
-----
\chi = \chi_{541}^{15}
f(\chi) = 541
ord(\chi) = 36

h_{36}(541) = N(-B_{1,\chi}/2) =
13534273
= 73 * 185401
-----
\chi = \chi_{541}^9
f(\chi) = 541
ord(\chi) = 60

h_{60}(541) = N(-B_{1,\chi}/2) =
5633900641
= p(10)
-----
\chi = \chi_{541}^5
f(\chi) = 541
ord(\chi) = 108

h_{108}(541) = N(-B_{1,\chi}/2) =
241080859370058895333
= 109 * 541 * 3889 * 8317 * 126396289
-----
\chi = \chi_{541}^3
f(\chi) = 541
ord(\chi) = 180

h_{180}(541) = N(-B_{1,\chi}/2) =
1038975999211925024399058601
= p(28)
-----
\chi = \chi_{541}
f(\chi) = 541
ord(\chi) = 540

h_{540}(541) = 541 * N(-B_{1,\chi}/2) =
4761729687921626289562829356613079625327968290059895142357776866883546106051275631301
= 931862341 * 3232364126963533021 * 1580857407284958847266870035047674074037554081633206570741
-----
-----
p = 547 :

\chi = \chi_{547}^{273}
f(\chi) = 547
ord(\chi) = 2

h_{2}(547) = 2 * N(-B_{1,\chi}/2) =
3
= p(1)
-----
\chi = \chi_{547}^{91}
f(\chi) = 547
ord(\chi) = 6

h_{6}(547) = N(-B_{1,\chi}/2) =
12
= 2^2 * 3
-----
\chi = \chi_{547}^{39}
f(\chi) = 547
ord(\chi) = 14

h_{14}(547) = N(-B_{1,\chi}/2) =
10753
= p(5)
-----
\chi = \chi_{547}^{21}
f(\chi) = 547
ord(\chi) = 26

h_{26}(547) = N(-B_{1,\chi}/2) =
895753
= 53 * 16901
-----
\chi = \chi_{547}^{13}
f(\chi) = 547
ord(\chi) = 42

h_{42}(547) = N(-B_{1,\chi}/2) =
3879331
= 43 * 90217
-----
\chi = \chi_{547}^7
f(\chi) = 547
ord(\chi) = 78

h_{78}(547) = N(-B_{1,\chi}/2) =
16031062477
= p(11)
-----
\chi = \chi_{547}^3
f(\chi) = 547
ord(\chi) = 182

h_{182}(547) = N(-B_{1,\chi}/2) =
65607376652218359180361844596588285686553
= 2731 * 2173081 * 1924495847 * 35629990397 * 161221283497
-----
\chi = \chi_{547}
f(\chi) = 547
ord(\chi) = 546

h_{546}(547) = 547 * N(-B_{1,\chi}/2) =
388106023371161809352774975950358427346527863266625912038637046084860340812666891651152099
= 547^2 * 3445807 * 152391067476710103877291 * 2470161054529791267286585696910967397717434187135173103
-----
-----
p = 557 :

\chi = \chi_{557}^{139}
f(\chi) = 557
ord(\chi) = 4

h_{4}(557) = 2 * N(-B_{1,\chi}/2) =
13
= p(2)
-----
\chi = \chi_{557}
f(\chi) = 557
ord(\chi) = 556

h_{556}(557) = 557 * N(-B_{1,\chi}/2) =
525485793232916812075501502169299718506604416197090927822725356961084902233231207693041882521335538541734931672187976706952307694743562342059270981956827979246253
= 557 * 22598022579868717 * 109236800265788167873 * 20135574011386889971501 * 18980268886142336273091951902263474993268234048703111783382874431585519071084447246743495927520562969
-----
-----
p = 563 :

\chi = \chi_{563}^{281}
f(\chi) = 563
ord(\chi) = 2

h_{2}(563) = 2 * N(-B_{1,\chi}/2) =
9
= 3^2
-----
\chi = \chi_{563}
f(\chi) = 563
ord(\chi) = 562

h_{562}(563) = 563 * N(-B_{1,\chi}/2) =
166145331148957933062193768821281449801887478919393572794202392594381986557758957878972220854275613830640328966499607601990303087362331304021112810093068468173650153
= 1997911 * 8319676591 * 1265238090899 * 7900112959777629685523578181055861191582329641551054397157426729147528913575382981668930757304541674675091983105795321413269294742426347
-----
-----
p = 569 :

\chi = \chi_{569}^{71}
f(\chi) = 569
ord(\chi) = 8

h_{8}(569) = 2 * N(-B_{1,\chi}/2) =
521
= p(3)
-----
\chi = \chi_{569}
f(\chi) = 569
ord(\chi) = 568

h_{568}(569) = 569 * N(-B_{1,\chi}/2) =
660547683986033397983653825375037047005073197291526560089900367203518789493742222585972109465818995841466604828575060913147630226453580171833431373989745000933287009
= 8521 * 22721 * 1453513 * 853099081 * 58939573073 * 2435539429714997701190158945873 * 19167506625788790140908333611729016431636917191449463602783882429175890261939005203408919152557102377
-----
-----
p = 571 :

\chi = \chi_{571}^{285}
f(\chi) = 571
ord(\chi) = 2

h_{2}(571) = 2 * N(-B_{1,\chi}/2) =
5
= p(1)
-----
\chi = \chi_{571}^{95}
f(\chi) = 571
ord(\chi) = 6

h_{6}(571) = N(-B_{1,\chi}/2) =
19
= p(2)
-----
\chi = \chi_{571}^{57}
f(\chi) = 571
ord(\chi) = 10

h_{10}(571) = N(-B_{1,\chi}/2) =
55
= 5 * 11
-----
\chi = \chi_{571}^{19}
f(\chi) = 571
ord(\chi) = 30

h_{30}(571) = N(-B_{1,\chi}/2) =
247531
= p(6)
-----
\chi = \chi_{571}^{15}
f(\chi) = 571
ord(\chi) = 38

h_{38}(571) = N(-B_{1,\chi}/2) =
40628594597
= 2851 * 14250647
-----
\chi = \chi_{571}^5
f(\chi) = 571
ord(\chi) = 114

h_{114}(571) = N(-B_{1,\chi}/2) =
842945888907786688129
= 7^3 * 19 * 1416109 * 91338798193
-----
\chi = \chi_{571}^3
f(\chi) = 571
ord(\chi) = 190

h_{190}(571) = N(-B_{1,\chi}/2) =
6178508186637286656737125863850049443689571
= 191 * 729601 * 6201471371 * 7149408223431729121347511
-----
\chi = \chi_{571}
f(\chi) = 571
ord(\chi) = 570

h_{570}(571) = 571 * N(-B_{1,\chi}/2) =
9085518674907516138520712858100858402341424531731688004414015316021921462330174136571
= 7411 * 14821 * 16708766626719980301959731 * 4950522191318208709609507018964684975152521021899911
-----
-----
p = 577 :

\chi = \chi_{577}^9
f(\chi) = 577
ord(\chi) = 64

h_{64}(577) = 2 * N(-B_{1,\chi}/2) =
2512487730199314817
= 18433 * 136303788325249
-----
\chi = \chi_{577}^3
f(\chi) = 577
ord(\chi) = 192

h_{192}(577) = N(-B_{1,\chi}/2) =
64294736545262150454157205324406710401
= 577 * 245153960937409 * 454528053875506390657
-----
\chi = \chi_{577}
f(\chi) = 577
ord(\chi) = 576

h_{576}(577) = 577 * N(-B_{1,\chi}/2) =
3533836619933954623358830041698212817276074110395690137565810485506675362651688996258723113086130609878169775382657
= 180289 * 483327803069176858477939263910038242498858726209 * 40554164521978880211934517719288507511083298160165490752281857
-----
-----
p = 587 :

\chi = \chi_{587}^{293}
f(\chi) = 587
ord(\chi) = 2

h_{2}(587) = 2 * N(-B_{1,\chi}/2) =
7
= p(1)
-----
\chi = \chi_{587}
f(\chi) = 587
ord(\chi) = 586

h_{586}(587) = 587 * N(-B_{1,\chi}/2) =
746770199099944678154508004879948355690703103847981069429137879267500768695206805420958524664475299963423971181908954771972478005995155776224130432268228367527528138354393649
= 587^2 * 1759 * 86729 * 14206287439446112071694705917544261721964457458569915852460891881052472007137330289414300227548108014516877744845298915428585105564948321690791168004751869484911
-----
-----
p = 593 :

\chi = \chi_{593}^{37}
f(\chi) = 593
ord(\chi) = 16

h_{16}(593) = 2 * N(-B_{1,\chi}/2) =
24049
= p(5)
-----
\chi = \chi_{593}
f(\chi) = 593
ord(\chi) = 592

h_{592}(593) = 593 * N(-B_{1,\chi}/2) =
75196309137484060903539777548208555532313860088638001283127950877173320182071189316976677866477094385015358624120638068832245172838185605627383353629695000430656616100511313
= 593 * 14162417 * 1937145790778273 * 1168576681187252489930972559619247447089 * 3955350103337366664022748310562274666928571530193119915961438997473803443596620091638501124161814861963532609
-----
-----
p = 599 :

\chi = \chi_{599}^{299}
f(\chi) = 599
ord(\chi) = 2

h_{2}(599) = 2 * N(-B_{1,\chi}/2) =
25
= 5^2
-----
\chi = \chi_{599}^{23}
f(\chi) = 599
ord(\chi) = 26

h_{26}(599) = N(-B_{1,\chi}/2) =
4273231
= 53 * 80627
-----
\chi = \chi_{599}^{13}
f(\chi) = 599
ord(\chi) = 46

h_{46}(599) = N(-B_{1,\chi}/2) =
10241617178983
= 47 * 58099 * 3750611
-----
\chi = \chi_{599}
f(\chi) = 599
ord(\chi) = 598

h_{598}(599) = 599 * N(-B_{1,\chi}/2) =
391775946260080245138153731728264662704721333793431352434622605242381790249323618242453457882939947089356853663774940213737453414537539067224247551439622848739
= 14951 * 1991062301957 * 1708051066424731637398205514437 * 7705162924248017376678374647750771823645069473342641118287496697091516639516775921419936394163224299056298546221
-----
-----