back to table · edit · history · where entries came from · files · download
62051 bytes, as of the version from 2026-11-02 11:01 (current). Recorded here, not run.
{
"status": "passed",
"bits": 1024,
"discriminants": 66,
"T129_overlap": 49,
"T129_scope": "Only matching discriminants present in the supplied |D| <= 300 snapshot are compared.",
"results": [
{
"discriminant": -3,
"class_polynomial": [
0,
1
],
"primitive_reduced_forms": [
[
1,
1,
1
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[2.1810025344400520791714882678744763416039256549017906886265739908901950924458410009289573972119365131793519980838922845954952143583542375385372821534785151048971689409548503877327405586723826754125208167800635719959765583411164588034454599153081518206776758496852748241978746211137665559573623305404559549045946152493e-916 +/- 8.05e-1235]",
"T129_overlap_checked": true
},
{
"discriminant": -4,
"class_polynomial": [
-1728,
1
],
"primitive_reduced_forms": [
[
1,
0,
1
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[5.2533214045688886657478830071442069005826582789287345039112698924480773685144662339915931722652951953740550383662194480057450534078692355807629453414818241372367431337756415882939716081020366668031306032541889568518697805418167333591941918150053737825210859032892225146175988409040443920949903057862055409860654148125e-303 +/- 3.03e-620]",
"T129_overlap_checked": true
},
{
"discriminant": -7,
"class_polynomial": [
3375,
1
],
"primitive_reduced_forms": [
[
1,
1,
2
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[5.7440600968499641627563464150375280445921831056912761185873307239075908631881157508477226768374980676031781079937522933473427282363119799546995885891631310640714437387233864309517135935440420283619820015040320390344803798819049375158589082164010021291532646678054800114391586926080269617820011700413747392424270047049e-303 +/- 8.56e-621]",
"T129_overlap_checked": true
},
{
"discriminant": -8,
"class_polynomial": [
-8000,
1
],
"primitive_reduced_forms": [
[
1,
0,
2
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.8428265299106390023473615523936827926915126184307556947686137009217407530550298295071961742406459506962608493892412022345738067912588234706713658451050327718258950953660553016479754228883945808797947310947923224630424599105267595039157775606167849270882261757456221196781575381285431262457909514430642266449859849590e-302 +/- 3.18e-619]",
"T129_overlap_checked": true
},
{
"discriminant": -11,
"class_polynomial": [
32768,
1
],
"primitive_reduced_forms": [
[
1,
1,
3
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[4.9101415120974183266343673708599396438485314018713539714809310553436299725329408583365549329381246715789619671715872008038493065646592712615719749188333766019572810823808318220562489911667247034444170509602972558580140120989337452593297129868091990737660767310985932577411199203344874841017342617262776914702322265944e-302 +/- 3.50e-619]",
"T129_overlap_checked": true
},
{
"discriminant": -12,
"class_polynomial": [
-54000,
1
],
"primitive_reduced_forms": [
[
1,
0,
3
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.0721541263757557641584506244921314057219577455672045053870341034668499440721460257320314528550512949966888650811332665040258900730909071006034439854819875304290283512645199230314961738943917644475562425622283093120899573475869893352243991411106378283228602867729095450273571752094818044738242888696349674108205120456e-301 +/- 9.98e-619]",
"T129_overlap_checked": true
},
{
"discriminant": -15,
"class_polynomial": [
-121287375,
191025,
1
],
"primitive_reduced_forms": [
[
1,
1,
4
],
[
2,
1,
2
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[6.4275510252115256191540291504041387539250288811087200786181230179081281520810424307253063080679274656052060573129114642594361586439862324520158728528582378723703444724224167748516805986317573412155951519861151121854144543219649364474701280976563318745578747893639312395119970217879975010828348069858175612309380665259e-298 +/- 2.50e-615]",
"T129_overlap_checked": true
},
{
"discriminant": -16,
"class_polynomial": [
-287496,
1
],
"primitive_reduced_forms": [
[
1,
0,
4
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[5.0319558018965346201482716141507222115827505389855913097292608354199829995545535751159721553056112990142879357269973769038912170180450120154014880628604713419450716683345649195286008449791739003950206442713859441540804614662812477039239216488504138247421286809081758859437572204808834829463624536637035608562016929325e-301 +/- 5.45e-619]",
"T129_overlap_checked": true
},
{
"discriminant": -19,
"class_polynomial": [
884736,
1
],
"primitive_reduced_forms": [
[
1,
1,
5
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.3069312856779328178992786215973985795215422710898506974690958518845487433760292459793195766924891899724706104246887549935752112946528046405492498143417186975750668119432222850429718821161647423056568352263451501357196093021213861217811353612708433540941648174292154529857773286076841934794810587920528721098600101588e-300 +/- 7.32e-618]",
"T129_overlap_checked": true
},
{
"discriminant": -20,
"class_polynomial": [
-681472000,
-1264000,
1
],
"primitive_reduced_forms": [
[
1,
0,
5
],
[
2,
2,
3
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[2.8117283219347278987731056533566057015853742904888227255442053161455130326193863006691348645922083906358396443700104840259667222063828537573313178758471985544716068696879048826964709133811409227555665387731248231305922734667140128730980346416790942501397239562838956483310043255785928159347623849291226217774829825802e-297 +/- 1.31e-614]",
"T129_overlap_checked": true
},
{
"discriminant": -24,
"class_polynomial": [
14670139392,
-4834944,
1
],
"primitive_reduced_forms": [
[
1,
0,
6
],
[
2,
0,
3
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[6.5805466477425451100915485181327045598858420996098175711022324394610114411578170283256187780550885132633329054396256902224437623530566205102733390768319037078261341905696045965692850118443610969181211058520003968023452169603564783465662455364471558046996986219026146133491457396101978883343856794358984850519687054104e-296 +/- 1.05e-613]",
"T129_overlap_checked": true
},
{
"discriminant": -27,
"class_polynomial": [
12288000,
1
],
"primitive_reduced_forms": [
[
1,
1,
7
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.8759187886970955004483014480767620383251662036078638111118552139932378304603340281794148871762253490095884251349731260408769243440733347261482191320758408512701113396777462924084365418491466660668278988396921903112773045240997177780134361996947285798249669498668318400499719190148010045112041007959338160584795394608e-299 +/- 3.51e-616]",
"T129_overlap_checked": true
},
{
"discriminant": -28,
"class_polynomial": [
-16581375,
1
],
"primitive_reduced_forms": [
[
1,
0,
7
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[3.1927249254581969759993179253908892190948645845884145716969647663140029844716142253449174222770141547411901196445801411912632700797059036840190506231117172404407306907869276814100489680443398252383682891086568907152592857850836808055514930704820860891299382173697076630759047385022808126936151420684759188350601748774e-299 +/- 4.57e-616]",
"T129_overlap_checked": true
},
{
"discriminant": -32,
"class_polynomial": [
12167000000,
-52250000,
1
],
"primitive_reduced_forms": [
[
1,
0,
8
],
[
3,
2,
3
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.4178397722074040083719099940820893694415038894264913649234078780552355193844289076887511024743838010655018780252113203880256983225566239015800417790671381739813857129939956952520489455913380025816755675823643180043947288172071495577785558235598246825428315176637659188454465365607178265800021987843072153111560787563e-295 +/- 4.17e-612]",
"T129_overlap_checked": true
},
{
"discriminant": -35,
"class_polynomial": [
-134217728000,
117964800,
1
],
"primitive_reduced_forms": [
[
1,
1,
9
],
[
3,
1,
3
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.4417256869911019004457141329724002757530220310273523136444220057894000821207828968852164705821462093739716249311095025496565856522657265819752386647755630710496167641008733418815349639428644777000377977455827808841833541841170177845572296751033689138234266889230850116422458933805539339616859224153760283020217738186e-294 +/- 4.08e-612]",
"T129_overlap_checked": true
},
{
"discriminant": -36,
"class_polynomial": [
-1790957481984,
-153542016,
1
],
"primitive_reduced_forms": [
[
1,
0,
9
],
[
2,
2,
5
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[5.7073787452431558970067831067465226455968971534345631503828282333653875320920207104833375970668745649321110207115930260355121159112475764901298724438990923011741599063070579103726858804649467737711167869622341389194663486950277387355082276052890537008666417041904099019104397500258636423244767775250757958719558507928e-294 +/- 4.68e-611]",
"T129_overlap_checked": true
},
{
"discriminant": -39,
"class_polynomial": [
20919104368024767633,
109873509788637459,
-429878960946,
331531596,
1
],
"primitive_reduced_forms": [
[
1,
1,
10
],
[
2,
-1,
5
],
[
2,
1,
5
],
[
3,
3,
4
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.5471175208594685270662857962617239807917125160378796833479923002176671101970591337824888894264347529598411514561821440348953154617531213289967845953275606725944409356051328110060381753976197515036431567929994096907767349153455733137228649307391218454470290234560738310535643692046003307767526514359641489566921322773e-286 +/- 2.33e-604]",
"T129_overlap_checked": true
},
{
"discriminant": -43,
"class_polynomial": [
884736000,
1
],
"primitive_reduced_forms": [
[
1,
1,
11
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.3271464748975230178572818055402892774274200770921990494529539268509901079730814131042793105610377132852427162881254926052055419895486828553656771238973840170155100002455475431908309826623858706927504092747755978778241523005790388651847717111498184343493807965249366399460408829303392878729650413133550055685354962881e-297 +/- 1.21e-614]",
"T129_overlap_checked": true
},
{
"discriminant": -48,
"class_polynomial": [
6549518250000,
-2835810000,
1
],
"primitive_reduced_forms": [
[
1,
0,
12
],
[
3,
0,
4
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[2.9843752150505202838633471773609298884961853571296154534457575205072345075366937479888367042494823065999774681887046966882887900098039523621171511977110338643329944943155980949959864960878305861833984638633113234961190771466758213463940226751543812084621122758380610398049927581665345150863615402276384279988077817744e-293 +/- 1.33e-610]",
"T129_overlap_checked": true
},
{
"discriminant": -51,
"class_polynomial": [
6262062317568,
5541101568,
1
],
"primitive_reduced_forms": [
[
1,
1,
13
],
[
3,
3,
5
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[2.1285603771202546775966689583382421996677084152161569856731062503879173954609066902630142224818845117077367702735529195480775649989265903010174774880176343119037853343324674488091597090625984494704737723852730411895009491823631957309440764113960904172608809567240701089791112245927109408904350298797627479236184129080e-293 +/- 3.23e-610]",
"T129_overlap_checked": true
},
{
"discriminant": -60,
"class_polynomial": [
153173312762625,
-37018076625,
1
],
"primitive_reduced_forms": [
[
1,
0,
15
],
[
3,
0,
5
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[6.6598237290309441966103182039028693400534943410693659972911766187437522713971476396011687672987177633927405617507652429577346190991970232700745062487759738118335949023977027251836120766995966936534612631236339073150958322270592483239239571238105529190551311592040346527875050651074266417840626510172815993439093534506e-292 +/- 3.29e-609]",
"T129_overlap_checked": true
},
{
"discriminant": -63,
"class_polynomial": [
-6256903954262253662109375,
4558451243295023437500,
-193068841781250,
67515199875,
1
],
"primitive_reduced_forms": [
[
1,
1,
16
],
[
2,
-1,
8
],
[
2,
1,
8
],
[
4,
1,
4
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[6.4391651030016604644588648376722657148706189083789667982010658103958439955108079238750894053192316461121416153925224618461585931239827297798964498136623817284195463192390126713305647707533028444212231768539968196530497884985013013870242920079931885562689614949448108634582016311568753135264939159862190986758965309716e-281 +/- 1.35e-598]",
"T129_overlap_checked": true
},
{
"discriminant": -67,
"class_polynomial": [
147197952000,
1
],
"primitive_reduced_forms": [
[
1,
1,
17
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[2.3652586994543195477128704364708405926754599396619134325139323107072025169343913330708913020224397645800185297948151207002056290084665267553730227444132257797866724517769738736683184062123953902515819391349084117820515373687142687726503189691070831141934534075243317952182268860530526573773816622460026166081641109841e-295 +/- 8.85e-613]",
"T129_overlap_checked": true
},
{
"discriminant": -72,
"class_polynomial": [
232381513792000000,
-377674768000,
1
],
"primitive_reduced_forms": [
[
1,
0,
18
],
[
2,
0,
9
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[8.8546638279076982634790042910965901740298456082543771132555031498400963942207935619496549663196696782119063968276175960834517295400551395404644801412601758667803248484211996693826083737644543993185069125459287819164693338066151271022596946299927356854618972125307741438476951128271262262011456161008127302615759363195e-289 +/- 1.84e-606]",
"T129_overlap_checked": true
},
{
"discriminant": -75,
"class_polynomial": [
5209253090426880,
654403829760,
1
],
"primitive_reduced_forms": [
[
1,
1,
19
],
[
3,
3,
7
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.7240912426556533886618518212662671813839933235420570440744129563522208236042318442252715927406228425986423914108340356615549285907466465997694929097935000835491658461409033725789795535476190072286958447340081139425086802317685075421096405553575736673391864673194061399283255833583802332324867113526331328875326924614e-290 +/- 2.03e-607]",
"T129_overlap_checked": true
},
{
"discriminant": -84,
"class_polynomial": [
-5133201653210986057826304,
88821246589810089394176,
-5663679223085309952,
-3196800946944,
1
],
"primitive_reduced_forms": [
[
1,
0,
21
],
[
2,
2,
11
],
[
3,
0,
7
],
[
5,
4,
5
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[9.3897713293749811940791910448963890193095264773482825103686803441556219379705171769948282741641844515543963345143923521903581696414496882700408545785394519998077669433220107311905254532467678378136885433636118650274057773974760019941161373601389739074751557998048885482616239720963673409701576763890844360759260544862e-281 +/- 4.52e-598]",
"T129_overlap_checked": true
},
{
"discriminant": -96,
"class_polynomial": [
-984163224549635621646336,
447805364111967209472,
670421055192156288,
-23340144296736,
1
],
"primitive_reduced_forms": [
[
1,
0,
24
],
[
3,
0,
8
],
[
4,
4,
7
],
[
5,
2,
5
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.5837639512636629678733187090622119078831441286444236751049985952314562617256577305543474072357875852103848879699851345295665539777921667398363727824255129600864730443194994504012395310244898780403545189997063472201331697098440487147190680219774045383936840511568845029682833347363833108163813775130523091063215203474e-281 +/- 2.99e-598]",
"T129_overlap_checked": true
},
{
"discriminant": -99,
"class_polynomial": [
-56171326053810176,
37616060956672,
1
],
"primitive_reduced_forms": [
[
1,
1,
25
],
[
5,
1,
5
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[4.7585568059497970716485684494202400465228395587589760984399632603887916935657798803501408304845840917054542145029682856279553873690785666981754496504846044599873249814992618486189138709153066984195483381154620163202262290987282907872947962225428548701423525863712500501151309276609325879562067062283872279758328154887e-289 +/- 3.78e-607]",
"T129_overlap_checked": true
},
{
"discriminant": -108,
"class_polynomial": [
-1879994705688000000000,
224179462188000000,
-151013228706000,
1
],
"primitive_reduced_forms": [
[
1,
0,
27
],
[
4,
-2,
7
],
[
4,
2,
7
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.2653793068688726515530080745093872283190971080210227080214467444151333071781778395899284908641198346393169061051300110240074166065881094256706640851876099675673604453861740045957064466413465628775302304745063491367786923000556151578711806787755764391411453098561609084792475205518397111064602540644679457135774372927e-284 +/- 6.97e-602]",
"T129_overlap_checked": true
},
{
"discriminant": -120,
"class_polynomial": [
4934510722321469030006784000000,
-2588458316335175909376000000,
26329406807264910336000,
-883067971104000,
1
],
"primitive_reduced_forms": [
[
1,
0,
30
],
[
2,
0,
15
],
[
3,
0,
10
],
[
5,
0,
6
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[4.4224708532278627800307641156417292567418255068044291805660168883097599927641855108240413309758500565452076457964006548452373752003702006145763827748138159247041341465418795259558334769698169827305574439477843320811409006516404869503107656346591601101201984345074295851711100953974687783462947346557344346303927359316e-275 +/- 2.21e-592]",
"T129_overlap_checked": true
},
{
"discriminant": -123,
"class_polynomial": [
148809594175488000000,
1354146840576000,
1
],
"primitive_reduced_forms": [
[
1,
1,
31
],
[
3,
3,
11
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[4.8953406055080153175866940043439326689707419412636276641372417839164856933885551378143793071281247109074533266324351312929492791708369005898485063701797066240700163780958390908359431212506635865541199213781017362286155822695890253922127534892775072726985638828647405050290656497523858311757127143421923125245868425680e-286 +/- 2.82e-603]",
"T129_overlap_checked": true
},
{
"discriminant": -132,
"class_polynomial": [
1656636925108948992000000000000,
54984539729717250048000000000,
-325211610485778048000000,
-4736863498464000,
1
],
"primitive_reduced_forms": [
[
1,
0,
33
],
[
2,
2,
17
],
[
3,
0,
11
],
[
6,
6,
7
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.7434336766579771251538887862233282647387695548574913070747558702914007222865731797955830212831101399080800865127586521868621404307612256010659428511823385957372733556538150513133869498253327469428203030942283012694807822748997853658171853901601379412915237894632054675957766965554998131842012157747043514690959971856e-275 +/- 1.22e-592]",
"T129_overlap_checked": true
},
{
"discriminant": -144,
"class_polynomial": [
571751321233328637579104256,
490453856866850787293184,
269499185406087942528,
-23578503968570400,
1
],
"primitive_reduced_forms": [
[
1,
0,
36
],
[
4,
0,
9
],
[
5,
-4,
8
],
[
5,
4,
8
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[8.5885304381255197014464637141938069501067287246482320495926820683372019875906065137428250843503550743368939983242437763925951302783046476266782343236609522216455604810444144574912868510199809956023810317508984957043242719716636274527705936085423001585768931859254404135911452545210210915030936537131137985336803741831e-279 +/- 1.27e-596]",
"T129_overlap_checked": true
},
{
"discriminant": -147,
"class_polynomial": [
11356800389480448000000,
34848505552896000,
1
],
"primitive_reduced_forms": [
[
1,
1,
37
],
[
3,
3,
13
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[3.8107842163850686019747576102409469007210829756234995249972143780952854589962016581511294439749033322234418065279538887442841582110204112091272964568665467399317736699685835533359178230665000966162305669205335181009164513469346033538269293744787510630254703589421116420376044056404686522700214611875253175693875395046e-284 +/- 4.40e-601]",
"T129_overlap_checked": true
},
{
"discriminant": -156,
"class_polynomial": [
421266000645144840703921125633,
-164993592496972989327022035,
53074935443801207676942,
-109914552886955148,
1
],
"primitive_reduced_forms": [
[
1,
0,
39
],
[
3,
0,
13
],
[
5,
-2,
8
],
[
5,
2,
8
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[7.6895239286183528088879896512357579824231442230100744972839756317496753916589813624684589326054520133007228182427764363418626531981138246622143566092658773971555663062501884700512320385047974471782068760245504587592680769420563571256692620726779250055445152420642046263281654402127667109616523631259144212123782730336e-276 +/- 1.13e-593]",
"T129_overlap_checked": true
},
{
"discriminant": -163,
"class_polynomial": [
262537412640768000,
1
],
"primitive_reduced_forms": [
[
1,
1,
41
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[4.6843256496655124029132640688023401522425779962395306093724897336566342481118814463028322486578529133410240587328698769907764532004209774207321702797747795527620336185587697217488460560989339183150035578738914171898347733563172562321968407728598502972263247296172552577161471942525855057705961297330905177056567881657e-289 +/- 2.28e-606]",
"T129_overlap_checked": true
},
{
"discriminant": -168,
"class_polynomial": [
496644064976895846912000000000000000,
-264691184105480095991808000000000,
336511679671210230144000000,
-483435712076832000,
1
],
"primitive_reduced_forms": [
[
1,
0,
42
],
[
2,
0,
21
],
[
3,
0,
14
],
[
6,
0,
7
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[4.4853422084119163640118670623831922526773956240083178845481941372322995723900101996081988986007020259233973667824091462127889522930757296320093500287956649362741917823657511873229641061417356946555279388793599189400074028303686372802730167455552880017600153934131190770618272845250141587675338891127208060331484231856e-270 +/- 4.01e-587]",
"T129_overlap_checked": true
},
{
"discriminant": -171,
"class_polynomial": [
-1311901521779155773721411584,
8391550371275812148084736,
472103267541360574464,
694282057876537344,
1
],
"primitive_reduced_forms": [
[
1,
1,
43
],
[
5,
-3,
9
],
[
5,
3,
9
],
[
7,
5,
7
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[2.7540654128336610627900963970180389676376553553670862309411050942291084532066348073540553606405621681228642215185956455583601941484217093886162598888635211182299553082159627246280568923152914226409117518099156606811347615481826271673857915890112172448852721957984040181197199823231748823973889221122118997071498450972e-278 +/- 2.11e-595]",
"T129_overlap_checked": true
},
{
"discriminant": -180,
"class_polynomial": [
-6776421923145961044033929216000000,
16660473763558887652278272000000,
-2867757758882006477169664000,
-2018504138609120000,
1
],
"primitive_reduced_forms": [
[
1,
0,
45
],
[
2,
2,
23
],
[
5,
0,
9
],
[
7,
4,
7
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[8.8335613077423555583218688253375873018687441581579823264390262398830219391935354455164947975016398694912552497407819027183110420206929145336662940808036720840713685182882154020108970740690772367335102407205196533812648666035912411744838329123914398298397088838186573540379946209232105995769838114150927846971248230933e-272 +/- 2.95e-589]",
"T129_overlap_checked": true
},
{
"discriminant": -192,
"class_polynomial": [
-1080060886113159937649308593750000,
826335556188178615474500000000,
15705521635909735050750000,
-8041801037378436000,
1
],
"primitive_reduced_forms": [
[
1,
0,
48
],
[
3,
0,
16
],
[
4,
4,
13
],
[
7,
2,
7
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.5334868621381714310991776769295965603041048170333983769617082066728158051474942558668802591280225930974829646173595507217135480595050209304844496786148751232989251358002488356565432311312740024300056858411442640935743847497717323943580110147273055593802774640716500233023627598721661866636730938992351434377448420017e-272 +/- 4.13e-590]",
"T129_overlap_checked": true
},
{
"discriminant": -195,
"class_polynomial": [
-233490285492432753672585216000000,
104773100319600336175104000000,
25349140792043819237376000,
11284411506057216000,
1
],
"primitive_reduced_forms": [
[
1,
1,
49
],
[
3,
3,
17
],
[
5,
5,
11
],
[
7,
1,
7
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[2.4442968037268318584094268077602390029915632326996718852736490094825529951572603201027397237156174029711881159892369504796417189721721721234056550559193593779973113042109046384572645875119125066743230645453122577727002427524909874405373382010079510256608983255294633792689019026694862176327497224039255027657539528744e-273 +/- 3.63e-590]",
"T129_overlap_checked": true
},
{
"discriminant": -219,
"class_polynomial": [
110979720274963942538198675506593792,
-15979705448736682450562851012608,
831039118453558669939310592,
155212323706544357376,
1
],
"primitive_reduced_forms": [
[
1,
1,
55
],
[
3,
3,
19
],
[
5,
-1,
11
],
[
5,
1,
11
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.2555579381495746131694125448578051393262228103455960367044252681577465912942310296357983208118273013694216662416314368883328324180357698796720860256992697462274909831360216656254683604945909118063747901432613792019263057303465175594071372393001219633532664437950337508268172691122800668207060780454767974412553626369e-270 +/- 2.86e-587]",
"T129_overlap_checked": true
},
{
"discriminant": -228,
"class_polynomial": [
120020259495560805847424176128000000000000,
58827548670433207062445836288000000000,
-7985216535621460489954944000000,
-399605224650084576000,
1
],
"primitive_reduced_forms": [
[
1,
0,
57
],
[
2,
2,
29
],
[
3,
0,
19
],
[
6,
6,
11
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[8.5611274857078541867351957513776643451514845624782264366692580877208913873480410258837329489406564734029617066501455276578350023103806844205698395109206390383119371233693724687227615754280403833568925859685908884889956947154238666584852183739536146640874036974885338100955598122326647047214296702513100077472382864558e-265 +/- 3.63e-582]",
"T129_overlap_checked": true
},
{
"discriminant": -240,
"class_polynomial": [
51848746810441819437662737568196890625,
-3213137488352330508627918491550000,
15510636623637225985530243375,
-1370337635584848362400,
1
],
"primitive_reduced_forms": [
[
1,
0,
60
],
[
3,
0,
20
],
[
4,
0,
15
],
[
5,
0,
12
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[4.2139713363936990744388858871358527353517960480151735785810241834163974408011944012636105524534872763760580710143007114436007553932147455474870871974577430017153874851705207785170722065630370140113765287123684601000029663548556225573900910233587946400981622333497166008004180333389462357309992962458384529015840313353e-268 +/- 3.93e-585]",
"T129_overlap_checked": true
},
{
"discriminant": -243,
"class_polynomial": [
3338586724673519616000000000,
-3750657365033091072000000,
1855762905734664192000,
1
],
"primitive_reduced_forms": [
[
1,
1,
61
],
[
7,
-3,
9
],
[
7,
3,
9
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[7.3369655173715900636325720097028016450344017849065047827012066791412406210030118770229758414804282755668556936170712580936128749219545445322819298796283551858612273728568268480670327485942002106860593401685847359823461629017376267627892425620535886956748571166767351799028287460489353592427409701682157623627755714869e-278 +/- 3.91e-596]",
"T129_overlap_checked": true
},
{
"discriminant": -252,
"class_polynomial": [
398963060554172791168212890625,
-2443574658947106282398437500,
10887176246183122533468750,
-4558302700896532039875,
1
],
"primitive_reduced_forms": [
[
1,
0,
63
],
[
7,
0,
9
],
[
8,
-6,
9
],
[
8,
6,
9
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[8.7012561365191196554326326329373593243828934430770319169053226049440839557382263060565517004503147235779598030590144038322808498541764793110896211587592727807410303650172409527145543765485974847238905851288839890367090793765909544593464954976813881640306151121375696000918920056388683798817424917137342324728580062554e-276 +/- 4.16e-593]",
"T129_overlap_checked": true
},
{
"discriminant": -267,
"class_polynomial": [
531429662672621376897024000000,
19683091854079488000000,
1
],
"primitive_reduced_forms": [
[
1,
1,
67
],
[
3,
3,
23
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[2.0031987854457573853601180266538307808460450507132076325239208452452465408044268438654576489667745483174700000352015558053559865527919100634901405773339088315832832108093164620490690636415017639901420198436414817342654728488375786801869067784786242641657551861280716422534340035626470506515988675945558836451312030671e-276 +/- 4.44e-593]",
"T129_overlap_checked": true
},
{
"discriminant": -288,
"class_polynomial": [
40994594700208456153393000000000000,
136478143044657426076564000000000,
-87330008255955399131086000000,
-142637765058468510772000,
1
],
"primitive_reduced_forms": [
[
1,
0,
72
],
[
4,
4,
19
],
[
8,
0,
9
],
[
8,
8,
11
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[3.9441612632511819102156268427324855323712396866245411339776194104282816535086593778333930662419566582095105722133093409231553098826755670723725993140128642713080519537048195393280340947691170154740676673426885571143606557876625191096201483452199711519899488314927406937475398615126113141423467759776127026815177547422e-271 +/- 4.01e-588]",
"T129_overlap_checked": true
},
{
"discriminant": -291,
"class_polynomial": [
21782000952710117887925312635418808680448,
285389231946718842181542553187254272,
10786588141336392324590050738176,
188155567079341753466880,
1
],
"primitive_reduced_forms": [
[
1,
1,
73
],
[
3,
3,
25
],
[
5,
-3,
15
],
[
5,
3,
15
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[2.0882741995071341960809158522835735414329791825982677866682074744191936727395957081869436998206698777511719596175051486936747235528274659614482794575133544630470078147336005319580083946077840936977430551052349730266864013592895771485081248488865806852679120078267918730409932160018255184285751655675923572494200500493e-265 +/- 1.96e-582]",
"T129_overlap_checked": true
},
{
"discriminant": -312,
"class_polynomial": [
1698899690981885675579246225669492736000000000000,
-152340504750882110373595179663329280000000000,
1411168483733488619338991640960000000,
-1258031100283439093280000,
1
],
"primitive_reduced_forms": [
[
1,
0,
78
],
[
2,
0,
39
],
[
3,
0,
26
],
[
6,
0,
13
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.4510646417241464078440819779653715828803457208305472268622457807861934569702645419057646299704661279855194310702474665435173440186467475081178527924727537863476483935998606114849579973405104990542075724479364646692381598888514460721942086078026975682371180946167064433233432716364293138869609273907057658295085259661e-257 +/- 2.18e-574]",
"T129_overlap_checked": false
},
{
"discriminant": -315,
"class_polynomial": [
16319518649540946810407747584000000,
256755031834901461034493542400000,
116880346596078822090604544000,
1641640623633325773619200,
1
],
"primitive_reduced_forms": [
[
1,
1,
79
],
[
5,
5,
17
],
[
7,
7,
13
],
[
9,
9,
11
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.5241581720310762198665572712977278736832015688786432893704811809498979900874541699355006789731666751765667671324496421077473239091500662439373677380925876651712610337963189208929439667432898287723722022407908904569673110458045556800151536317592293684571244053036766535202178602987626497347123541671373778360301619547e-271 +/- 4.44e-589]",
"T129_overlap_checked": false
},
{
"discriminant": -363,
"class_polynomial": [
1577314437358442913340940353536000000000000,
-496864268553728774541064273920000000000,
45688143672322270430861721600000000,
98823634118413525094400000,
1
],
"primitive_reduced_forms": [
[
1,
1,
91
],
[
3,
3,
31
],
[
7,
-1,
13
],
[
7,
1,
13
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.8435347385081985744448089585258082271013624992444746303414766740803112907887207579283591932283344439840537221285727276242757659311423414658120854445023703469038437538367651326089074225242538751454443122579970943366168731167128075924993738960541804786757433480788222880446437468383615315385427296778600978414674491767e-263 +/- 3.81e-580]",
"T129_overlap_checked": false
},
{
"discriminant": -372,
"class_polynomial": [
41393149892607462736698558825033501904896000000000000,
1755509254864401819594526832548625909760000000000,
-2969541010382978868435960918595200000000,
-206603714804587147622880000,
1
],
"primitive_reduced_forms": [
[
1,
0,
93
],
[
2,
2,
47
],
[
3,
0,
31
],
[
6,
6,
17
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[3.0142661305742524955726449377049302224661277863156249096643966476854064555773712604524609029587241401487081685974579945001897725217390822802120449869924050810483943310090924695758158103965156824929308217177881355395052213616037609077052372685610490322202685445228853681811876610926326584612748355472936498763232728401e-253 +/- 3.98e-570]",
"T129_overlap_checked": false
},
{
"discriminant": -387,
"class_polynomial": [
587533119951491680960512000000000000,
747948304897905210163200000000000,
-1543710173513675490459648000000,
692535742940813486100480000,
1
],
"primitive_reduced_forms": [
[
1,
1,
97
],
[
9,
-3,
11
],
[
9,
3,
11
],
[
9,
9,
13
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.4564564942862006484514097008235283994439730819696038547288191371076560389705119082964843602082514348697949571191916545573531575933707021746458573932099246578255965728352227770687239487653621039060862867787341407365723662979896528681219092067717254463424747155606737187690477812028417413088570410860571152682137631979e-269 +/- 2.60e-586]",
"T129_overlap_checked": false
},
{
"discriminant": -408,
"class_polynomial": [
13375974716483932888129605820405217248677888000000000000,
-334918514756463762318006309600841904719872000000000,
218066148024051247931306674050097536000000,
-3622859125108878497350176000,
1
],
"primitive_reduced_forms": [
[
1,
0,
102
],
[
2,
0,
51
],
[
3,
0,
34
],
[
6,
0,
17
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.1325038924493069224596630472260183803318716318710105262964260118471123522779726612615404867697558972925480901217744907922254007978706558321553622974711808034210266553946089373477260001115722161340267833050229534834060105736484529619249264139911570257442340820903544709049126498113997910574593811862156317015273041075e-250 +/- 3.77e-567]",
"T129_overlap_checked": false
},
{
"discriminant": -435,
"class_polynomial": [
-12512019875237835915942574589201734434816000000,
42866222697779107335351550466659555737600000,
87465379468169320817492479772196864000,
28597298728131202056826060800,
1
],
"primitive_reduced_forms": [
[
1,
1,
109
],
[
3,
3,
37
],
[
5,
5,
23
],
[
11,
7,
11
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.8465579914729161850493301394150887205107881816471853240187957875145247250152384235435883936138754412465245447552320411475276064832745832830894522969343707114590369191877260447158754691494006656864990070902994229183335897093914493800165291844394273053415452359496683383382148080396448070913221029190000655667198029128e-259 +/- 2.66e-576]",
"T129_overlap_checked": false
},
{
"discriminant": -483,
"class_polynomial": [
-296241507936739247491345278560108544000000000000,
160587932046974848398336021151875072000000000,
9557426544972522152310585774047232000000,
966618711103413979025620992000,
1
],
"primitive_reduced_forms": [
[
1,
1,
121
],
[
3,
3,
41
],
[
7,
7,
19
],
[
11,
1,
11
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[3.0487815619245664656086178889743475509001170222677602508132864952544692853616501423532133974859354758641064396979934785381670847609978888867340075211019604014026860406092426925021670976132499423184537573619431740309037316675246985150106243876122540833968130633399810082490080947312264365211956909577609956047703237514e-258 +/- 3.73e-575]",
"T129_overlap_checked": false
},
{
"discriminant": -507,
"class_polynomial": [
52801843586884277419825606742991962112000000000000,
2658551097838253705341260639403769856000000000,
91537611307702496719179485710123008000000,
5262585338995033221326389248000,
1
],
"primitive_reduced_forms": [
[
1,
1,
127
],
[
3,
3,
43
],
[
7,
-5,
19
],
[
7,
5,
19
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[5.6510593327222379356309268909510459593060924833852652261641701025757147490329913160059621306593442682036544634233513618981038081611131075555434788456464201269738211772174505190147822142594270666170051546168633150920095454083947948892241338575402217422523579883665067454009320303397003527717730323148347021490910744160e-256 +/- 3.27e-573]",
"T129_overlap_checked": false
},
{
"discriminant": -555,
"class_polynomial": [
-532755731205331063356397364951543957176713216000000,
19282254568556435196991625190065063388512256000000,
7191013406366483381037450688276469907456000,
138859536630220704987259502592000,
1
],
"primitive_reduced_forms": [
[
1,
1,
139
],
[
3,
3,
47
],
[
5,
5,
29
],
[
13,
11,
13
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.0089628729701682323077798707167009349037917145425381732136728909971880325482770583956564424853230420133491604637293012183022673414102749743705233803571556718853282779232494788760353950582865387155098088747498171831898799438789128105153107055480402438668960256318841623973485212493004016152763641496275588655992846035e-254 +/- 2.43e-571]",
"T129_overlap_checked": false
},
{
"discriminant": -603,
"class_polynomial": [
469351599148575084436348037234688000000000000,
3412681538174356730332626026496000000000,
-7118624290306318120963251634176000000,
3189372971004509360884026494976000,
1
],
"primitive_reduced_forms": [
[
1,
1,
151
],
[
9,
-3,
17
],
[
9,
3,
17
],
[
9,
9,
19
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[7.4574588904617716030512101598628474930176383999298516325421768012243877046379857819455344576020526716749779615118722226106085950954026849090319901550746178383879739622760510481837373109133863584923465225104170856633602164387251838477420389747681153524437102330149951367201492244580555728066101623191409803988420314298e-261 +/- 3.82e-578]",
"T129_overlap_checked": false
},
{
"discriminant": -627,
"class_polynomial": [
-1261687189208313891495979730091871567872000000000000,
526326624169690832922357632213666758656000000000,
3563858169242172480409901737583233204224000000,
14586137722924213400310156521472000,
1
],
"primitive_reduced_forms": [
[
1,
1,
157
],
[
3,
3,
53
],
[
11,
11,
17
],
[
13,
7,
13
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.5852769121593170858988690346411960674557286653382284562482868971652186844023914613268392736900326999172390592053814840542400057988369290075381399566497137571370567517065750528289315128346180971876698235759722726949962554496990577851561135315255085443287490036629224799954942124010212891660359532950021669072911032271e-254 +/- 1.86e-571]",
"T129_overlap_checked": false
},
{
"discriminant": -708,
"class_polynomial": [
4046686423378034814414234559373865948538701215210194862739456000000000000,
3603887011528002652771717224491220641587422892784070051840000000000,
-2854565250565963840094617979015298078098347812480000000,
-2012303924332635494819557244440800000,
1
],
"primitive_reduced_forms": [
[
1,
0,
177
],
[
2,
2,
89
],
[
3,
0,
59
],
[
6,
6,
31
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[3.1980092259323739139166581835977221010076420175866195015792355619780884602874454879118906769525596077194109673359379118943946230617068961718334601228173606777606529927566235952967449378583309199901319615479701892820759632831016156243176744223153917018813477778774064446629220840020918013745075506267508526924135256680e-233 +/- 2.76e-550]",
"T129_overlap_checked": false
},
{
"discriminant": -723,
"class_polynomial": [
43799003445375960815587788104700084092928000000000000000,
-17437817166277457429521660531780027831812096000000000,
8222450770908698023546828197247145547399168000000,
4855690107103225136120718536060928000,
1
],
"primitive_reduced_forms": [
[
1,
1,
181
],
[
3,
3,
61
],
[
11,
-5,
17
],
[
11,
5,
17
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[7.6186322519181817643227479295475645429019729214546985103989863415764262341251159365098072965651399269239240863337521209728866292761869200434679676667694728149377214776360057092880875685999343619060582351746124668505189365385440045561454155738243710572317833149735414469829948892931388547546483038327782136238160956128e-250 +/- 3.21e-567]",
"T129_overlap_checked": false
},
{
"discriminant": -795,
"class_polynomial": [
1580866394929445594613317271657673734190830966521462784000000,
96989374802114211792220362019627433906928110027145216000000,
1962512368737475150054890329369747830206508302336000,
294853904675299611949375562546552832000,
1
],
"primitive_reduced_forms": [
[
1,
1,
199
],
[
3,
3,
67
],
[
5,
5,
41
],
[
15,
15,
17
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[1.8357449807001319174215516524608771705533356427651935796211872016567522965740415203433596312844700112995295932863609766077133727349347907060623755938043996562416651956346246680441090667353230476600823907379273791371886900412371830742616109317481526888049820450286663517102331598073198983790850293190252134221395434746e-245 +/- 6.14e-563]",
"T129_overlap_checked": false
},
{
"discriminant": -1227,
"class_polynomial": [
2513550635275580846572126510888944466103176257943640211456000000000000000,
89252949391959745426288430543461455160950172376987709997056000000000,
5282646588767618158994396140387285593346806931114470408192000000,
619638890847298092963653036606353098743021568000,
1
],
"primitive_reduced_forms": [
[
1,
1,
307
],
[
3,
3,
103
],
[
11,
-7,
29
],
[
11,
7,
29
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[2.9958791782897063322305310145752155936078237046407820199249506281974964633763423486988106592440180346611351953161743479358762611644200137657289256762330870599096395466779452523284382641766569719898310899479153836797776309959233908346876053189419718844929759132601612094003999721017101155633473197184183633708839591324e-233 +/- 8.08e-551]",
"T129_overlap_checked": false
},
{
"discriminant": -1467,
"class_polynomial": [
4750778730158046729996627074508314393022035482908819456000000000000000,
19361523208256264971288945998620952474692182081536000000000,
-40389436387354150167355479516145857227679829327872000000,
18095625621654510801615355531263454706630064771072000,
1
],
"primitive_reduced_forms": [
[
1,
1,
367
],
[
9,
-3,
41
],
[
9,
3,
41
],
[
9,
9,
43
]
],
"pari_agrees_exactly": true,
"direct_ball_product_determines_integer_coefficients": true,
"maximum_coefficient_radius": "[5.8626446689760032046958241649064434322786711759441836416997717789839947692891925502867295856607248095283334289461308335410381169120916906807263476009834543551930192459803022417959116782868743168950144402122519963562087694559321198882878813337880474481321378464934949233855132735171404469516658331161202784616200580875e-236 +/- 1.95e-553]",
"T129_overlap_checked": false
}
]
}