Database - mf_hecke_nf

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Table mf_hecke_nf

Hecke eigenvalues of Galois orbits of newforms

Column	Type	Example
an	jsonb	[[1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 0], [0, -1, 0, -1],...
ap	jsonb	[[0, 0, 0, 0], [0, 1, 0, 0], [1, 0, 1, 0], [0, -1, 0, -1], [0, -3, 0, -1], [-1, 0, -2, 0], [-3, 0, -...
char_orbit_index	smallint	1
field_poly	numeric[]	[1, 0, -4, 0, 1]
hecke_orbit_code	bigint	148618787736784192
hecke_ring_character_values	jsonb
hecke_ring_cyclotomic_generator	integer	0
hecke_ring_denominators	numeric[]	[1, 1, 1, 1]
hecke_ring_inverse_denominators	numeric[]	[1, 1, 1, 1]
hecke_ring_inverse_numerators	numeric[]	[[1, 0, 0, 0], [0, 1, 0, 0], [2, 0, 1, 0], [0, 4, 0, 1]]
hecke_ring_numerators	numeric[]	[[1, 0, 0, 0], [0, 1, 0, 0], [-2, 0, 1, 0], [0, -4, 0, 1]]
hecke_ring_power_basis	boolean	False
hecke_ring_rank	integer	4
label	text	'3392.2.a.bh'
level	integer	3392
maxp	integer	2999
weight	smallint	2

{'an': [[1], [-24], [252], [-1472], [4830], [-6048], [-16744], [84480], [-113643], [-115920], [534612], [-370944], [-577738], [401856], [1217160], [987136], [-6905934], [2727432], [10661420], [-7109760], [-4219488], [-12830688], [18643272], [21288960], [-25499225], [13865712], [-73279080], [24647168], [128406630], [-29211840], [-52843168], [-196706304], [134722224], [165742416], [-80873520], [167282496], [-182213314], [-255874080], [-145589976], [408038400], [308120442], [101267712], [-17125708], [-786948864], [-548895690], [-447438528], [2687348496], [248758272], [-1696965207], [611981400], [-1740295368], [850430336], [-1596055698], [1758697920], [2582175960], [-1414533120], [2686677840], [-3081759120], [-5189203740], [-1791659520], [6956478662], [1268236032], [1902838392], [2699296768], [-2790474540], [-3233333376], [-15481826884], [10165534848], [4698104544], [1940964480], [9791485272], [-9600560640], [1463791322], [4373119536], [-6425804700], [-15693610240], [-8951543328], [3494159424], [38116845680], [4767866880], [1665188361], [-7394890608], [-29335099668], [6211086336], [-33355661220], [411016992], [32358470760], [45164021760], [-24992917110], [13173496560], [9673645072], [-27442896384], [-13316478336], [-64496363904], [51494658600], [-49569988608], [75013568546], [40727164968], [-60754911516], [37534859200]], 'ap': [[-24], [252], [4830], [-16744], [534612], [-577738], [-6905934], [10661420], [18643272], [128406630], [-52843168], [-182213314], [308120442], [-17125708], [2687348496], [-1596055698], [-5189203740], [6956478662], [-15481826884], [9791485272], [1463791322], [38116845680], [-29335099668], [-24992917110], [75013568546], [81742959102], [-225755128648], [90241258356], [73482676310], [-85146862638], [-262717201024], [631528759932], [-297198746214], [596793577940], [-1115433620850], [-824447297848], [1315116754406], [-357832759588], [2754833892216], [-950387449578], [1681384224780], [-996774496018], [2762403350592], [5442387685442], [-2876091504354], [728391402200], [-6793168439188], [7334863021472], [-1359839565924], [-11824411223170], [-17563353448518], [-7139577462960], [-231306909358], [12983053545252], [23961192565506], [-24273728464488], [25837706543670], [-3767932360528], [-16418932005874], [21035722907082], [16713176326532], [-23926858987458], [15311092828556], [49875160575912], [-99480832756438], [83369248359366], [-63584021925868], [121001428335986], [-155661561078204], [-25643022194650], [24909815245602], [157584150853560], [-177901220129584], [-55161734023378], [146463116322980], [231449571733632], [-149871571611810], [208110680273846], [-133407937691598], [-206167580638390], [73403515193820], [171111932338622], [-71775829446768], [99881248225682], [-29031220908760], [328369848718692], [-612368143631550], [303483032911706], [-729307946668938], [122188164073712], [-617380683662484], [1050837984850080], [-219909971761864], [-483863128068108], [-108877719272500], [506588355787752], [85753393288710], [927574652509722], [-21818651341228], [-1695266465052058], [752144751323996], [187489032934806], [244971285916812], [1352425875836970], [1432228477996772], [-877659324192574], [-2434250501782764], [-303318212278158], [-1701984261329400], [2339216023326602], [-2496072486898144], [2473009012516862], [24336777156666], [4225450805148020], [-4263261111420568], [1008295928583042], [303982416160892], [3435828424131096], [-1185387156769098], [-2265102374509140], [-5330121520762738], [4741198635421922], [-1413071638641474], [-3031157627077068], [-2747313442193908], [5727465442629702], [698326457818910], [9709787093595120], [2464686886685576], [7912852398754982], [-8406936179151460], [1362869794471992], [6817220120892752], [-667048975014994], [-7744079729695638], [2524111226919170], [-11145268112466978], [13227104255899436], [2302477758246246], [5604717670694010], [-5085164185024588], [279110773799022], [-13526517861603928], [272543929352676], [18045917610367430], [-7961834707368360], [-14982644001390898], [-22256130175851894], [5442366024533060], [10810987426382112], [-28102437759471274], [4222089494633682], [516091995437132], [5719060466578536], [-84377784300844], [-11009058285505488], [-4863513801242680], [3575343976258530], [38637331724206586], [-34899727878407658], [-28512291118415604], [40033434235820202], [18495304308397016], [-21487665696030828], [-8738799717564174], [11892426157508232], [23440857788319392], [-21400415987399554]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 201326593, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'id': 0, 'label': '1.12.a.a', 'level': 1, 'maxp': 997, 'weight': 12}