LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-10-25T05:46:09.492575

Column	Type
Nk2	integer
analytic_conductor	double precision
analytic_rank	smallint
analytic_rank_proved	boolean
artin_degree	integer
artin_field	numeric[]
artin_field_label	text
artin_image	text
atkin_lehner_eigenvals	integer[]
atkin_lehner_string	text
char_conductor	integer
char_degree	integer
char_is_minimal	boolean
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
cm_discs	integer[]
conrey_index	integer
dim	integer
embedded_related_objects	text[]
field_disc	numeric
field_disc_factorization	numeric[]
field_poly	numeric[]
field_poly_is_cyclotomic	boolean
field_poly_is_real_cyclotomic	boolean
field_poly_root_of_unity	integer
fricke_eigenval	smallint
has_non_self_twist	smallint
hecke_cutters	jsonb
hecke_orbit	integer
hecke_orbit_code	bigint
hecke_ring_generator_nbound	integer
hecke_ring_index	numeric
hecke_ring_index_factorization	numeric[]
hecke_ring_index_proved	boolean
inner_twist_count	integer
inner_twists	integer[]
is_cm	boolean
is_largest	boolean
is_maximal	boolean
is_polredabs	boolean
is_rm	boolean
is_self_dual	boolean
is_self_twist	boolean
is_twist_minimal	boolean
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
minimal_twist	text
nf_label	text
prim_orbit_index	smallint
projective_field	numeric[]
projective_field_label	text
projective_image	text
projective_image_type	text
qexp_display	text
related_objects	text[]
relative_dim	integer
rm_discs	integer[]
sato_tate_group	text
self_twist_discs	integer[]
self_twist_type	smallint
space_label	text
trace_display	numeric[]
trace_hash	bigint
trace_moments	numeric[]
trace_zratio	numeric
traces	numeric[]
weight	smallint
weight_parity	smallint

mf_newforms • Show schema

{'Nk2': 672, 'analytic_conductor': 1.3414867539575104, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 168, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 2, 'char_parity': 1, 'char_values': [168, 2, [127, 85, 113, 73], [2, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 125, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [2, 0, 1]], [11, [-6, 0, 1]], [13, [2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044109480, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 56, 8, -1, 2, 0], [1, 1, 168, 9, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '168.2.i.c', 'level': 168, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '168.2.i.a', 'nf_label': '4.0.576.1', 'prim_orbit_index': 9, 'qexp_display': 'q+\\beta _{1}q^{2}+(1-\\beta _{2})q^{3}+(1+\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '168.2.i', 'trace_display': [0, 4, 0, -8], 'trace_hash': 776438301510872838, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 4}, {'__RealLiteral__': 0, 'data': '3.860', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '123.523', 'prec': 20}, 0, {'__RealLiteral__': 0, 'data': '5022.133', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.750', 'prec': 10}, 'traces': [4, 0, 4, 4, 0, 4, -8, 0, -4, 4, 0, 4, -8, 0, -8, -8, 0, 8, 16, 0, -8, 12, 0, 16, 12, 0, -20, -20, 0, 4, 0, 0, 0, -36, 0, -4, 0, 0, -8, 16, 0, 4, 0, 0, -16, -4, 0, -8, 4, 0, 0, -8, 0, 4, 0, 0, 16, -24, 0, -8, 40, 0, 8, -32, 0, 12, 0, 0, 8, 4, 0, 32, 0, 0, 12, 16, 0, -8, 32, 0, -28, 12, 0, -20, 0, 0, 0, 0, 0, -4, 16, 0, 0, 24, 0, 16, 0, 0, 0, 12, 0, -36, 0, 0, 16, 0, 0, -20, 0, 0, 0, -8, 0, 16, 8, 0, 8, 16, 0, 16, -20, 0, 0, -48, 0, 8, -16, 0, 0, -8, 0, 24, -32, 0, -8, 0, 0, -4, -56, 0, 0, -4, 0, 8, 0, 0, 4, 72, 0, 12, 32, 0, 0, -36, 0, -8, -56, 0, 0, 16, 0, -16, 0, 0, 0, -32, 0, -32, -36, 0, -16, 24, 0, -24, -24, 0, -32, 36, 0, -16, 88, 0, 40, -16, 0, 48, -72, 0, 40, 16, 0, -32, -16, 0, 16, 52, 0, -12, 0, 0, 0, 28, 0, -72, 0, 0, 16, 16, 0, 4, 0, 0, 8, 36, 0, 16, -48, 0, 0, 24, 0, -72, 0, 0, -12, -40, 0, 16, -56, 0, 24, 0, 0, -16, 0, 0, 32, 108, 0, 16, 0, 0, 4, 40, 0, 12, -32, 0, 64, 32, 0, 20, 0, 0, 0, -32, 0, -24, 72, 0, 0, -32, 0, 0, 0, 0, 0, -24, 0, -20, 0, 0, 16, 32, 0, 8, 0, 0, 0, -32, 0, 24, 16, 0, -32, -24, 0, 32, 148, 0, 0, 0, 0, -44, -32, 0, 0, -48, 0, 12, 24, 0, -56, -32, 0, 36, 16, 0, 0, 48, 0, -32, 0, 0, 32, 32, 0, 0, -48, 0, 0, -4, 0, -28, -24, 0, 0, 0, 0, -24, 0, 0, 0, -96, 0, -8, 8, 0, 80, -72, 0, 32, 40, 0, 8, 4, 0, -48, -56, 0, 40, -48, 0, 16, 8, 0, -72, -108, 0, -16, -12, 0, -20, 40, 0, 40, 0, 0, 0, -72, 0, -48, 0, 0, -64, 0, 0, 4, 0, 0, -16, 44, 0, -32, 24, 0, 0, -96, 0, -8, 0, 0, 64, 72, 0, 48, -8, 0, -32, -24, 0, 24, 0, 0, 32, 72, 0, 0, 0, 0, -64, 96, 0, 4, 64, 0, -56, 48, 0, 40, 0, 0, 0, 0, 0, -4, -80, 0, 0, -24, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, -4, 72, 0, 72, 0, 0, 0, 64, 0, 24, 24, 0, 32, -8, 0, 64, -40, 0, 0, 8, 0, -36, -16, 0, 0, -40, 0, 8, -24, 0, -56, 64, 0, 32, 48, 0, 0, -76, 0, 16, 0, 0, -16, -20, 0, -44, -16, 0, 0, -44, 0, 24, 144, 0, 0, -96, 0, -32, 0, 0, 0, 40, 0, -64, -56, 0, -36, -16, 0, 72, 0, 0, -80, 12, 0, 24, 48, 0, -8, -32, 0, 24, 88, 0, -24, -28, 0, 48, 84, 0, -64, -80, 0, 36, 0, 0, 0, -68, 0, -8, 0, 0, 88, 144, 0, -8, 0, 0, -40, 36, 0, -16, -64, 0, 0, -56, 0, 96, 0, 0, -72, 8, 0, 48, 80, 0, 56, -16, 0, 16, 0, 0, -88, -36, 0, 32, 0, 0, -16, -48, 0, 96, 0, 0, 32, 4, 0, 52, 0, 0, 0, 144, 0, -60, -72, 0, 0, 8, 0, 48, 0, 0, 0, 32, 0, 28, 0, 0, -48, 40, 0, -144, 0, 0, 0, -48, 0, -96, 40, 0, 8, 120, 0, 16, -4, 0, 0, -56, 0, -4, 128, 0, 0, -96, 0, 0, -8, 0, 16, -32, 0, 36, -80, 0, 0, -144, 0, -64, 0, 0, -48, 72, 0, 0, 64, 0, 0, -72, 0, 24, -56, 0, 0, -128, 0, -144, 0, 0, 0, 24, 0, -80, 32, 0, -60, -36, 0, -40, -96, 0, 16, -48, 0, -16, -64, 0, -56, 48, 0, 8, 40, 0, 48, -12, 0, 0, -72, 0, 80, -60, 0, -8, 0, 0, 0, 60, 0, -32, 0, 0, -32, 0, 0, 108, 0, 0, 152, -76, 0, 32, 96, 0, 0, 88, 0, -20, 0, 0, 92, 0, 0, 40, -56, 0, -8, -16, 0, -12, 0, 0, -32, 0, 0, 0, 0, 0, 128, -72, 0, 32, 128, 0, -80, 48, 0, 100, 0, 0, 0, 64, 0, -16, 0, 0, 0, -24, 0, -32, 0, 0, 0, -16, 0, -48, 0, 0, 72, 120, 0, 16, 0, 0, 0, 88, 0, -32, -8, 0, 56, 32, 0, 0, -80, 0, 0, -72, 0, 16, -144, 0, 0, 32, 0, -24, -16, 0, 136, 112, 0, -28, -8, 0, 0, 72, 0, -144, 0, 0, -16, 24, 0, 32, 80, 0, 0, 16, 0, 16, 136, 0, 0, 64, 0, -56, 0, 0, 0, -32, 0, -32, -20, 0, -16, -168, 0, -24, 40, 0, 16, -108, 0, 8, 40, 0, -64, 0, 0, -24, -80, 0, 24, -52, 0, 16, -8, 0, 148, 48, 0, 48, 0, 0, 0, -16, 0, 0, 0, 0, -8, 48, 0, -88, 0, 0, -32, 84, 0, 0, 32, 0, 0, 120, 0, -48, 0, 0, -16, 104, 0, -12, 0, 0, 24, -160, 0, 32, 0, 0, -112, -8, 0, -32, 0, 0, -80, -56, 0, 180, -160, 0, 16, 28, 0, -24, 0, 0, 0, 96, 0, 48, 16, 0, 0, 88, 0, -64, 0, 0, 0, 48, 0, -56, 0, 0, 16, 24, 0, 32, 0, 0, 0, 144, 0, 0, -88, 0, -48, 24, 0, 64, -68, 0, 0, 48, 0, -4, -16, 0, 0, 96, 0, 4, 112, 0, -24, -80, 0, -72, 72, 0, 0, -84, 0, 0, 0, 0, 48, -32, 0, -48, -208, 0, 0, -4, 0, 64, -248, 0, 0, 128], 'weight': 2, 'weight_parity': 1}

Column	Type
an_normalized	double precision[]
angles	double precision[]
char_orbit_index	smallint
conrey_index	integer
dual_conrey_index	integer
dual_embedding_index	integer
dual_embedding_m	integer
embedding_index	integer
embedding_m	integer
embedding_root_imag	double precision
embedding_root_real	double precision
hecke_orbit	integer
hecke_orbit_code	bigint
label	text
level	integer
weight	smallint

mf_hecke_cc • Show schema

{'an_normalized': [[1.0, 0.0], [0.8660254037844386, 0.5], [0.5773502691896257, -0.816496580927726], [0.5, 0.8660254037844386], [0.0, -0.6324555320336759], [0.908248290463863, -0.41843164659173465], [-0.7559289460184545, 0.6546536707079772], [0.0, 1.0], [-0.3333333333333333, -0.9428090415820634], [0.31622776601683794, -0.5477225575051661], [0.7385489458759964, 0.0], [0.9957819157813604, 0.09175170953613698], [-0.5547001962252291, 0.0], [-0.9819805060619657, 0.18898223650461363], [-0.5163977794943223, -0.3651483716701107], [-0.5, 0.8660254037844386], [-1.7822655773580138, 0.0], [0.1827293861962188, -0.9831632475943927], [0.9176629354822471, 0.0], [0.5477225575051661, -0.31622776601683794], [0.09808670335286401, 0.9951778728575948], [0.6396021490668313, 0.3692744729379982], [0.0, 0.29488391230979427], [0.816496580927726, 0.5773502691896257], [0.6, 0.0], [-0.4803844614152614, -0.2773500981126146], [-0.9622504486493763, -0.2721655269759087], [-0.944911182523068, -0.3273268353539886], [-0.909717652294684, 0.0], [-0.26463940966490257, -0.5744266557639991], [0.0, 1.2443420336765103], [-0.8660254037844386, 0.5], [0.4264014327112209, -0.6030226891555273], [-1.5434872662825796, -0.8911327886790069], [0.4140393356054125, 0.47809144373375745], [0.6498299142610594, -0.7600796553858445], [0.0, -1.7084843923544981], [0.7947194142390263, 0.45883146774112354], [-0.32025630761017426, 0.4529108136578383], [0.6324555320336759, 0.0], [0.38254602783800296, 0.0], [-0.4126433595517489, 0.9108926708552694], [0.0, -0.5282705437953743], [0.3692744729379982, 0.6396021490668313], [-0.5962847939999439, 0.21081851067789195], [-0.14744195615489714, 0.2553769592276246], [0.7145896010104964, 0.0], [0.41843164659173465, 0.908248290463863], [0.14285714285714285, -0.989743318610787], [0.5196152422706631, 0.3], [-1.028991510855053, 1.4552137502179978], [-0.2773500981126146, -0.4803844614152614], [0.0, 0.0], [-0.697250569845379, -0.716827484720204], [0.0, -0.4670993664969138], [-0.6546536707079772, -0.7559289460184545], [0.5298129428260175, -0.7492686492653552], [-0.7878385971583354, -0.454858826147342], [0.0, -0.7364596943186587], [0.05802887626967681, -0.6297877813350133], [1.2803687993289596, 0.0], [-0.6221710168382552, 1.0776318121606494], [0.8691897151878525, 0.494478754863806], [-1.0, 0.0], [0.0, 0.35082320772281167], [0.6707858175157618, -0.30903225151148306], [0.0, 0.42320736951515897], [-0.8911327886790069, -1.5434872662825796], [0.2407717061715384, 0.17025130615174972], [0.11952286093343936, 0.6210590034081188], [0.0, 0.16783627165933782], [0.9428090415820634, -0.3333333333333333], [0.0, 0.0], [0.8542421961772491, -1.4795908857482156], [0.34641016151377546, -0.4898979485566356], [0.45883146774112354, 0.7947194142390263], [-0.5582905262390825, 0.48349377841522817], [-0.5038055049415338, 0.23210411647128093], [0.9000703207408192, 0.0], [0.5477225575051661, 0.31622776601683794], [-0.7777777777777778, 0.6285393610547089], [0.3312945782245396, 0.19127301391900148], [0.0, 1.2418408411301325], [-0.8128059675024053, 0.5825345133058459], [0.0, 1.127203723953269], [0.26413527189768715, -0.457495710997814], [-0.5252257314388902, 0.7427813527082074], [0.0, 0.7385489458759964], [0.7789361803342478, 0.0], [-0.6218070348332683, -0.11556821116491658], [0.4193139346887673, -0.36313651960128146], [-0.2553769592276246, 0.14744195615489714], [1.016001016001524, 0.7184212081070996], [0.618852747755276, 0.3572948005052482], [0.0, -0.5803810000880093], [-0.09175170953613698, 0.9957819157813604], [0.0, 1.406904916225318], [0.6185895741317419, -0.7857142857142857], [-0.24618298195866548, -0.6963106238227914], [0.3, 0.5196152422706631]], 'angles': [None, None, -0.44879180882521663, None, -0.18980311357330223, -0.29472809375551673, -0.42504427648954246, -0.17413408354436336, 0.02355198096412822, -0.3251551422877696, 0.10687457647266678, -0.33701078762621023, -0.21936920789650582, -0.457456730964422, -0.19184957468570443, -0.25, -0.43998197576285686, -0.13942896918815223, 0.033934302332575744, 0.013371712059244707, 0.0, -0.17570572270713922, 0.10662049904449754, -0.18632942647261197, 0.12417959916276464, -0.41803823411711927, -0.38041234949754643, -0.19220609835261204, 0.0, 0.11582475389025462, -0.27839584667807005, 0.08227710095270854, -0.4197194423093765, -0.3511730827875957, -0.315727715116136, -0.19723110483633183, -0.3443423193540272, -0.4332884826952006, -0.38695774475797284, -0.49143965038755916, -0.4040962669178241, -0.09764553951348365, -0.4048603345004592, -0.27299233923937705, -0.16230240168318455, 0.060037818963041736, 0.15717227474468864, -0.4015392615134898, 0.014961047496110429, -0.326536846763679, 0.07665679277550098, 0.16763123846727612, -0.46418425370333327, -0.42636683073385623, -0.23782910342331626, 0.049364081807184074, 0.13092200518747396, 0.0, -0.4834068846870808, -0.48655692886888735, -0.23103358162248724, -0.49342349854598067, -0.2317934117277461, -0.1278152244495867, -0.46863440818256197, -0.34274488737038505, -0.3839139969352709, -0.2413259843798137, -0.2604716330027389, -0.31112738698609355, -0.19716081199171795, 0.1254433308255404, 0.014409243821491693, 0.058394849059732745, 0.0430010622712693, -0.2699727041169728, -0.1433693734157732, -0.25799111481068715, -0.4544198295983921, -0.3363343606645549, 0.044563345277434, -0.3993854119607361, 0.07300417594016297, 0.08322718602089856, 0.09821284693245155, -0.18323069599092592, -0.33282075000460554, -0.2875728029450435, -0.4629765628408182, -0.2648144985638225, -0.3721025353857798, -0.23214997361406317, -0.2644438164907391, -0.31322771523551307, 0.0123528342320029, -0.3031286838728651, -0.4332098274055379, -0.10112132695898812, -0.17013750061613506, -0.3831041322397831], 'char_orbit_index': 9, 'conrey_index': 125, 'dual_conrey_index': 125, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.7071067811865476, 'embedding_root_real': 1.224744871391589, 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044109480, 'label': '168.2.i.c.125.4', 'level': 168, 'weight': 2}

Column	Type
ALdims	integer[]
ALdims_eis_new	integer[]
ALdims_eis_old	integer[]
ALdims_old	integer[]
Nk2	integer
a4_dim	integer
a5_dim	integer
analytic_conductor	double precision
char_conductor	integer
char_degree	integer
char_is_real	boolean
char_orbit_index	smallint
char_orbit_label	text
char_order	integer
char_parity	smallint
char_values	jsonb
conrey_index	integer
cusp_dim	integer
dihedral_dim	integer
dim	integer
eis_dim	integer
eis_new_dim	integer
hecke_cutter_primes	integer[]
hecke_orbit_code	bigint
hecke_orbit_dims	integer[]
label	text
level	integer
level_is_powerful	boolean
level_is_prime	boolean
level_is_prime_power	boolean
level_is_prime_square	boolean
level_is_square	boolean
level_is_squarefree	boolean
level_primes	integer[]
level_radical	integer
mf_dim	integer
mf_new_dim	integer
num_forms	smallint
plus_dim	integer
prim_orbit_index	smallint
relative_dim	integer
s4_dim	integer
sturm_bound	integer
trace_bound	integer
trace_display	numeric[]
traces	numeric[]
weight	smallint
weight_parity	smallint

mf_newspaces • Show schema

{'Nk2': 672, 'analytic_conductor': 1.3414867539575104, 'char_conductor': 168, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 2, 'char_parity': 1, 'char_values': [168, 2, [127, 85, 113, 73], [2, 1, 1, 1]], 'conrey_index': 125, 'cusp_dim': 28, 'dim': 28, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 549789368488, 'hecke_orbit_dims': [4, 4, 4, 8, 8], 'label': '168.2.i', 'level': 168, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 36, 'mf_new_dim': 36, 'num_forms': 5, 'prim_orbit_index': 9, 'relative_dim': 28, 'sturm_bound': 64, 'trace_bound': 4, 'trace_display': [0, 0, 0, -4], 'traces': [28, 0, 0, -4, 0, 0, -4, 0, -4, 0, 0, 0, 0, 0, 8, 4, 0, 12, 0, 0, 0, -32, 0, 0, -20, 0, 0, -12, 0, -4, 0, 0, 0, 0, 0, -40, 0, 0, -16, 0, 0, 12, 0, 0, 0, 32, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -16, -16, 0, 44, 0, 0, -36, -52, 0, 0, 0, 0, 0, 48, 0, 12, 0, 0, 0, 0, 0, 68, 24, 0, 12, 0, 0, 36, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, -72, 0, 0, 8, 80, 0, 0, 0, 0, 0, 20, 0, -28, 0, 0, 0, 0, 0, 116, -36, 0, 0, 0, 0, -52, -40, 0, 0, -88, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, -24, 0, -88, 0, 0, 0, 144, 0, 0, 40, 0, 0, -104, 0, -76, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, -84, -44, 0, 0, -72, 0, 0, 60, 0, 8, 0, 0, 0, 0, 0, -64, 8, 0, 120, 0, 0, 0, -136, 0, 0, 40, 0, 0, -124, 0, 24, 0, 0, 0, 0, 0, -144, 0, 0, 112, 0, 0, 116, 0, 0, 0, 80, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -4, 120, 0, 68, 0, 0, 96, -176, 0, 0, 0, 0, 0, 72, 0, 68, 0, 0, 0, 0, 0, 144, -160, 0, 8, 0, 0, 96, 0, 0, 0, 196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, -148, 0, 0, -64, 224, 0, 0, 0, 0, 0, 168, 0, -72, 0, 0, 0, 0, 0, 228, -44, 0, 0, 0, 0, -120, 176, 0, 0, -128, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 48, 0, -172, 0, 0, 0, 184, 0, 0, -224, 0, 0, -168, 0, -60, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, -108, -8, 0, 0, -144, 0, 0, -124, 0, 160, 0, 0, 0, 0, 0, 32, -200, 0, 188, 0, 0, 0, -224, 0, 0, -20, 0, 0, -72, 0, 68, 0, 0, 0, 0, 0, -216, 0, 0, -224, 0, 0, 180, 0, 0, 0, 264, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 56, 64, 0, 216, 0, 0, -160, -404, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 312, 176, 0, -64, 0, 0, 188, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, -28, 144, 0, 0, 0, 0, 0, 204, 0, -92, 0, 0, 0, 0, 0, 308, 136, 0, 0, 0, 0, -144, -24, 0, 0, -160, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, -112, 0, -196, 0, 0, 0, 300, 0, 0, 328, 0, 0, -48, 0, -72, 0, 0, 0, 0, 0, -340, 0, 0, 0, 0, 0, -148, 128, 0, 0, -272, 0, 0, 192, 0, -64, 0, 0, 0, 0, 0, -40, -40, 0, 192, 0, 0, 0, -456, 0, 0, 20, 0, 0, -216, 0, 72, 0, 0, 0, 0, 0, -364, 0, 0, 320, 0, 0, 164, 0, 0, 0, 224, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -144, -64, 0, 216, 0, 0, 140, -240, 0, 0, 0, 0, 0, 216, 0, 56, 0, 0, 0, 0, 0, 408, -320, 0, 16, 0, 0, 216, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, -292, 0, 0, 48, 392, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 332, -36, 0, 0, 0, 0, -216, -24, 0, 0, -320, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, -288, 0, -208, 0, 0, 0, 504, 0, 0, -304, 0, 0, -288, 0, -72, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -204, 40, 0, 0, -372, 0, 0, -96, 0, -184, 0, 0, 0, 0, 0, 80, 216, 0, 280, 0, 0, 0, -304, 0, 0, -144, 0, 0, -340, 0, 92, 0, 0, 0, 0, 0, -412, 0, 0, -456, 0, 0, 144, 0, 0, 0, 128, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -100, 336, 0, 308, 0, 0, -232, -232, 0, 0, 0, 0, 0, 80, 0, 168, 0, 0, 0, 0, 0, 448, 376, 0, 152, 0, 0, 180, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, -216, 0, 0, 144, 608, 0, 0, 0, 0, 0, 268, 0, -124, 0, 0, 0, 0, 0, 336, -352, 0, 0, 0, 0, -268, -288, 0, 0, -312, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 144, 0, -288, 0, 0, 0, 288, 0, 0, 552, 0, 0, -216, 0, -8, 0, 0, 0, 0, 0, -388, 0, 0, 0, 0, 0, -268, -204, 0, 0, -216, 0, 0, 172, 0, 32, 0, 0, 0, 0, 0, -80, -344, 0, 72, 0, 0, 0, -304, 0, 0, 128, 0, 0, -48, 0, 48, 0, 0, 0, 0, 0, -360, 0, 0, 536, 0, 0, 228, 0, 0, 0, 448, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 112, 128, 0, 344, 0, 0, 288, -600, 0, 0, 0, 0, 0, 440, 0, 44, 0, 0, 0, 0, 0, 360, -200, 0, 32, 0, 0, 264, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, -340, 0, 0, -40, 288, 0, 0, 0, 0, 0, 288, 0, -240, 0, 0, 0, 0, 0, 428, 196, 0, 0, 0, 0, -144, 8, 0, 0, -240, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, -272, 0, -360, 0, 0, 0, 248, 0, 0, -632, 0, 0, -64, 0, -172, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}

Column	Type
conductor	integer
degree	integer
order	integer
parity	smallint
source_conrey_index	integer
source_dim	integer
source_embedding_index	integer
source_hecke_orbit_code	bigint
source_is_minimal	boolean
source_label	text
source_level	integer
target_conrey_index	integer
target_dim	integer
target_embedding_index	integer
target_hecke_orbit_code	bigint
target_is_minimal	boolean
target_label	text
target_level	integer
twist_class_label	text
twist_class_level	integer
twisting_char_label	text
twisting_conrey_index	integer
weight	smallint

mf_twists_cc • Show schema

id: 41081681
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 125, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007749044109480, 'target_is_minimal': True, 'target_label': '168.2.i.c.125.4', 'target_level': 168, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 41081682
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 125, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109480, 'target_is_minimal': True, 'target_label': '168.2.i.c.125.1', 'target_level': 168, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
id: 41081683
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 209, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 549789368992, 'target_is_minimal': False, 'target_label': '672.2.i.a.209.3', 'target_level': 672, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 41081684
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 125, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 549789368488, 'target_is_minimal': True, 'target_label': '168.2.i.a.125.4', 'target_level': 168, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
id: 41081685
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 209, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007749044109984, 'target_is_minimal': False, 'target_label': '672.2.i.c.209.1', 'target_level': 672, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 41081686
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 125, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368488, 'target_is_minimal': True, 'target_label': '168.2.i.a.125.2', 'target_level': 168, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 41081687
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 209, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368992, 'target_is_minimal': False, 'target_label': '672.2.i.a.209.1', 'target_level': 672, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 41081688
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 125, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368488, 'target_is_minimal': True, 'target_label': '168.2.i.a.125.1', 'target_level': 168, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
id: 41081689
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 125, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 549789368488, 'target_is_minimal': True, 'target_label': '168.2.i.a.125.3', 'target_level': 168, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
id: 41081690
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 209, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007749044109984, 'target_is_minimal': False, 'target_label': '672.2.i.c.209.3', 'target_level': 672, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
id: 41081691
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 209, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007749044109984, 'target_is_minimal': False, 'target_label': '672.2.i.c.209.2', 'target_level': 672, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
id: 41081692
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 125, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007749044109480, 'target_is_minimal': True, 'target_label': '168.2.i.c.125.2', 'target_level': 168, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 2}
id: 41081693
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 209, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 549789368992, 'target_is_minimal': False, 'target_label': '672.2.i.a.209.4', 'target_level': 672, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 2}
id: 41081694
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 209, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007749044109984, 'target_is_minimal': False, 'target_label': '672.2.i.c.209.4', 'target_level': 672, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
id: 41081695
{'conductor': 168, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 209, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368992, 'target_is_minimal': False, 'target_label': '672.2.i.a.209.2', 'target_level': 672, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '168.83', 'twisting_conrey_index': 83, 'weight': 2}
id: 41081696
{'conductor': 168, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 125, 'source_dim': 4, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007749044109480, 'source_is_minimal': True, 'source_label': '168.2.i.c.125.4', 'source_level': 168, 'target_conrey_index': 125, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007749044109480, 'target_is_minimal': True, 'target_label': '168.2.i.c.125.3', 'target_level': 168, 'twist_class_label': '168.2.i.a.125.1', 'twist_class_level': 168, 'twisting_char_label': '168.125', 'twisting_conrey_index': 125, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 432825
{'charpoly_factorization': [[[4, 0, -2, 0, 1], 1]], 'hecke_orbit_code': 9007749044109480, 'p': 2}
id: 432826
{'charpoly_factorization': [[[3, -2, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 3}
id: 432827
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 5}
id: 432828
{'charpoly_factorization': [[[7, 4, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 7}
id: 432829
{'charpoly_factorization': [[[-6, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 11}
id: 432830
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 9007749044109480, 'p': 13}
id: 432831
{'charpoly_factorization': [[[-54, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 17}
id: 432832
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 9007749044109480, 'p': 19}
id: 432833
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 23}
id: 432834
{'charpoly_factorization': [[[-24, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 29}
id: 432835
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 31}
id: 432836
{'charpoly_factorization': [[[108, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 37}
id: 432837
{'charpoly_factorization': [[[-6, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 41}
id: 432838
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 43}
id: 432839
{'charpoly_factorization': [[[-24, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 47}
id: 432840
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007749044109480, 'p': 53}
id: 432841
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 59}
id: 432842
{'charpoly_factorization': [[[-10, 1], 4]], 'hecke_orbit_code': 9007749044109480, 'p': 61}
id: 432843
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 67}
id: 432844
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 71}
id: 432845
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007749044109480, 'p': 73}
id: 432846
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 9007749044109480, 'p': 79}
id: 432847
{'charpoly_factorization': [[[128, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 83}
id: 432848
{'charpoly_factorization': [[[-54, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 89}
id: 432849
{'charpoly_factorization': [[[192, 0, 1], 2]], 'hecke_orbit_code': 9007749044109480, 'p': 97}

Column	Type
char_orbit_index	smallint
hecke_orbit	integer
label	text
level	integer
portrait	text
weight	smallint

mf_newform_portraits • Show schema

{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '168.2.i.c', 'level': 168, 'portrait': 'data:image/png;base64,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', 'weight': 2}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema
Showing the first 100 of 258 matching records in this table.

id: 31138771
{'hecke_orbit_code': 9007749044109480, 'n': 1, 'trace_an': 4}
id: 31138772
{'hecke_orbit_code': 9007749044109480, 'n': 2, 'trace_an': 0}
id: 31138773
{'hecke_orbit_code': 9007749044109480, 'n': 3, 'trace_an': 4}
id: 31138774
{'hecke_orbit_code': 9007749044109480, 'n': 4, 'trace_an': 4}
id: 31138775
{'hecke_orbit_code': 9007749044109480, 'n': 5, 'trace_an': 0}
id: 31138776
{'hecke_orbit_code': 9007749044109480, 'n': 6, 'trace_an': 4}
id: 31138777
{'hecke_orbit_code': 9007749044109480, 'n': 7, 'trace_an': -8}
id: 31138778
{'hecke_orbit_code': 9007749044109480, 'n': 8, 'trace_an': 0}
id: 31138779
{'hecke_orbit_code': 9007749044109480, 'n': 9, 'trace_an': -4}
id: 31138780
{'hecke_orbit_code': 9007749044109480, 'n': 10, 'trace_an': 4}
id: 31138781
{'hecke_orbit_code': 9007749044109480, 'n': 11, 'trace_an': 0}
id: 31138782
{'hecke_orbit_code': 9007749044109480, 'n': 12, 'trace_an': 4}
id: 31138783
{'hecke_orbit_code': 9007749044109480, 'n': 13, 'trace_an': -8}
id: 31138784
{'hecke_orbit_code': 9007749044109480, 'n': 14, 'trace_an': 0}
id: 31138785
{'hecke_orbit_code': 9007749044109480, 'n': 15, 'trace_an': -8}
id: 31138786
{'hecke_orbit_code': 9007749044109480, 'n': 16, 'trace_an': -8}
id: 31138787
{'hecke_orbit_code': 9007749044109480, 'n': 17, 'trace_an': 0}
id: 31138788
{'hecke_orbit_code': 9007749044109480, 'n': 18, 'trace_an': 8}
id: 31138789
{'hecke_orbit_code': 9007749044109480, 'n': 19, 'trace_an': 16}
id: 31138790
{'hecke_orbit_code': 9007749044109480, 'n': 20, 'trace_an': 0}
id: 31138791
{'hecke_orbit_code': 9007749044109480, 'n': 21, 'trace_an': -8}
id: 31138792
{'hecke_orbit_code': 9007749044109480, 'n': 22, 'trace_an': 12}
id: 31138793
{'hecke_orbit_code': 9007749044109480, 'n': 23, 'trace_an': 0}
id: 31138794
{'hecke_orbit_code': 9007749044109480, 'n': 24, 'trace_an': 16}
id: 31138795
{'hecke_orbit_code': 9007749044109480, 'n': 25, 'trace_an': 12}
id: 31138796
{'hecke_orbit_code': 9007749044109480, 'n': 26, 'trace_an': 0}
id: 31138797
{'hecke_orbit_code': 9007749044109480, 'n': 27, 'trace_an': -20}
id: 31138798
{'hecke_orbit_code': 9007749044109480, 'n': 28, 'trace_an': -20}
id: 31138799
{'hecke_orbit_code': 9007749044109480, 'n': 29, 'trace_an': 0}
id: 31138800
{'hecke_orbit_code': 9007749044109480, 'n': 30, 'trace_an': 4}
id: 31138801
{'hecke_orbit_code': 9007749044109480, 'n': 31, 'trace_an': 0}
id: 31138802
{'hecke_orbit_code': 9007749044109480, 'n': 32, 'trace_an': 0}
id: 31138803
{'hecke_orbit_code': 9007749044109480, 'n': 33, 'trace_an': 0}
id: 31138804
{'hecke_orbit_code': 9007749044109480, 'n': 34, 'trace_an': -36}
id: 31138805
{'hecke_orbit_code': 9007749044109480, 'n': 35, 'trace_an': 0}
id: 31138806
{'hecke_orbit_code': 9007749044109480, 'n': 36, 'trace_an': -4}
id: 31138807
{'hecke_orbit_code': 9007749044109480, 'n': 37, 'trace_an': 0}
id: 31138808
{'hecke_orbit_code': 9007749044109480, 'n': 38, 'trace_an': 0}
id: 31138809
{'hecke_orbit_code': 9007749044109480, 'n': 39, 'trace_an': -8}
id: 31138810
{'hecke_orbit_code': 9007749044109480, 'n': 40, 'trace_an': 16}
id: 31138811
{'hecke_orbit_code': 9007749044109480, 'n': 41, 'trace_an': 0}
id: 31138812
{'hecke_orbit_code': 9007749044109480, 'n': 42, 'trace_an': 4}
id: 31138813
{'hecke_orbit_code': 9007749044109480, 'n': 43, 'trace_an': 0}
id: 31138814
{'hecke_orbit_code': 9007749044109480, 'n': 44, 'trace_an': 0}
id: 31138815
{'hecke_orbit_code': 9007749044109480, 'n': 45, 'trace_an': -16}
id: 31138816
{'hecke_orbit_code': 9007749044109480, 'n': 46, 'trace_an': -4}
id: 31138817
{'hecke_orbit_code': 9007749044109480, 'n': 47, 'trace_an': 0}
id: 31138818
{'hecke_orbit_code': 9007749044109480, 'n': 48, 'trace_an': -8}
id: 31138819
{'hecke_orbit_code': 9007749044109480, 'n': 49, 'trace_an': 4}
id: 31138820
{'hecke_orbit_code': 9007749044109480, 'n': 50, 'trace_an': 0}
id: 31138821
{'hecke_orbit_code': 9007749044109480, 'n': 51, 'trace_an': 0}
id: 31138822
{'hecke_orbit_code': 9007749044109480, 'n': 52, 'trace_an': -8}
id: 31138823
{'hecke_orbit_code': 9007749044109480, 'n': 53, 'trace_an': 0}
id: 31138824
{'hecke_orbit_code': 9007749044109480, 'n': 54, 'trace_an': 4}
id: 31138825
{'hecke_orbit_code': 9007749044109480, 'n': 55, 'trace_an': 0}
id: 31138826
{'hecke_orbit_code': 9007749044109480, 'n': 56, 'trace_an': 0}
id: 31138827
{'hecke_orbit_code': 9007749044109480, 'n': 57, 'trace_an': 16}
id: 31138828
{'hecke_orbit_code': 9007749044109480, 'n': 58, 'trace_an': -24}
id: 31138829
{'hecke_orbit_code': 9007749044109480, 'n': 59, 'trace_an': 0}
id: 31138830
{'hecke_orbit_code': 9007749044109480, 'n': 60, 'trace_an': -8}
id: 31138831
{'hecke_orbit_code': 9007749044109480, 'n': 61, 'trace_an': 40}
id: 31138832
{'hecke_orbit_code': 9007749044109480, 'n': 62, 'trace_an': 0}
id: 31138833
{'hecke_orbit_code': 9007749044109480, 'n': 63, 'trace_an': 8}
id: 31138834
{'hecke_orbit_code': 9007749044109480, 'n': 64, 'trace_an': -32}
id: 31138835
{'hecke_orbit_code': 9007749044109480, 'n': 65, 'trace_an': 0}
id: 31138836
{'hecke_orbit_code': 9007749044109480, 'n': 66, 'trace_an': 12}
id: 31138837
{'hecke_orbit_code': 9007749044109480, 'n': 67, 'trace_an': 0}
id: 31138838
{'hecke_orbit_code': 9007749044109480, 'n': 68, 'trace_an': 0}
id: 31138839
{'hecke_orbit_code': 9007749044109480, 'n': 69, 'trace_an': 8}
id: 31138840
{'hecke_orbit_code': 9007749044109480, 'n': 70, 'trace_an': 4}
id: 31138841
{'hecke_orbit_code': 9007749044109480, 'n': 71, 'trace_an': 0}
id: 31138842
{'hecke_orbit_code': 9007749044109480, 'n': 72, 'trace_an': 32}
id: 31138843
{'hecke_orbit_code': 9007749044109480, 'n': 73, 'trace_an': 0}
id: 31138844
{'hecke_orbit_code': 9007749044109480, 'n': 74, 'trace_an': 0}
id: 31138845
{'hecke_orbit_code': 9007749044109480, 'n': 75, 'trace_an': 12}
id: 31138846
{'hecke_orbit_code': 9007749044109480, 'n': 76, 'trace_an': 16}
id: 31138847
{'hecke_orbit_code': 9007749044109480, 'n': 77, 'trace_an': 0}
id: 31138848
{'hecke_orbit_code': 9007749044109480, 'n': 78, 'trace_an': -8}
id: 31138849
{'hecke_orbit_code': 9007749044109480, 'n': 79, 'trace_an': 32}
id: 31138850
{'hecke_orbit_code': 9007749044109480, 'n': 80, 'trace_an': 0}
id: 31138851
{'hecke_orbit_code': 9007749044109480, 'n': 81, 'trace_an': -28}
id: 31138852
{'hecke_orbit_code': 9007749044109480, 'n': 82, 'trace_an': 12}
id: 31138853
{'hecke_orbit_code': 9007749044109480, 'n': 83, 'trace_an': 0}
id: 31138854
{'hecke_orbit_code': 9007749044109480, 'n': 84, 'trace_an': -20}
id: 31138855
{'hecke_orbit_code': 9007749044109480, 'n': 85, 'trace_an': 0}
id: 31138856
{'hecke_orbit_code': 9007749044109480, 'n': 86, 'trace_an': 0}
id: 31138857
{'hecke_orbit_code': 9007749044109480, 'n': 87, 'trace_an': 0}
id: 31138858
{'hecke_orbit_code': 9007749044109480, 'n': 88, 'trace_an': 0}
id: 31138859
{'hecke_orbit_code': 9007749044109480, 'n': 89, 'trace_an': 0}
id: 31138860
{'hecke_orbit_code': 9007749044109480, 'n': 90, 'trace_an': -4}
id: 31138861
{'hecke_orbit_code': 9007749044109480, 'n': 91, 'trace_an': 16}
id: 31138862
{'hecke_orbit_code': 9007749044109480, 'n': 92, 'trace_an': 0}
id: 31138863
{'hecke_orbit_code': 9007749044109480, 'n': 93, 'trace_an': 0}
id: 31138864
{'hecke_orbit_code': 9007749044109480, 'n': 94, 'trace_an': 24}
id: 31138865
{'hecke_orbit_code': 9007749044109480, 'n': 95, 'trace_an': 0}
id: 31138866
{'hecke_orbit_code': 9007749044109480, 'n': 96, 'trace_an': 16}
id: 31138867
{'hecke_orbit_code': 9007749044109480, 'n': 97, 'trace_an': 0}
id: 31138868
{'hecke_orbit_code': 9007749044109480, 'n': 98, 'trace_an': 0}
id: 31138869
{'hecke_orbit_code': 9007749044109480, 'n': 99, 'trace_an': 0}
id: 31138870
{'hecke_orbit_code': 9007749044109480, 'n': 100, 'trace_an': 12}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$ over number fields
Genus 2 curves
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.