LMFDB - Embedded newform data

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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': 5184, 'analytic_conductor': 25.303187064213862, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1]], 'atkin_lehner_string': '-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [81, 1, [2], [1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 9567188363200212, 'field_disc_factorization': [[2, 2], [3, 3], [3527, 1], [25116268057, 1]], 'field_poly': [-22632, 15108, 17752, -1212, -401, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-381888, 296784, 59184, -3024, -504, 9, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199388958801, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 314928, 'hecke_ring_index_factorization': [[2, 4], [3, 9]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '81.8.a.c', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '9.8.c.a', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(52-3\\beta _{1}-\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '7.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.8.a', 'trace_display': [-9, 0, -180, 84], 'trace_hash': 492283572507305231, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '5.443', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '79.531', 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6673930411026, 775457728164, 0, 3834882006804, -325898080812, 0, 1542300665310, 1694529258876, 0, 1905818630940, 4908635676324, 0, -3206911327614, -3186871863984, 0, -2694846289044, 4026244996791, 0, -7523185014549, -2437222069044, 0, -1483960737156, -2136840032862, 0, -3371908154541, -169347176244, 0, -2527861721400, -1046354315616, 0, -7148846176209, 5093378239572, 0, 5028616729944, -474586694586, 0, 2546952323688, 1346075075124, 0, -6366733768896, 3838219276374, 0, -1120626122040, 3373266996576, 0, 5313713008092, -6401589734556, 0, 1438561739052, -1278159511608, 0, 4994661962400, -2219217508926, 0, -493211647026, 3421003945932, 0, 4110304248792, -103929088446, 0, -1798394025591, 1558804982994, 0, -4735559690892, 2441511132426, 0, 3850122967371, -1659403221372, 0], 'weight': 8, '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], [0.09477359090055726, 0.0], [0.0, 0.0], [-0.9910179664678138, 0.0], [0.34336439059762386, 0.0], [0.0, 0.0], [0.4165328955911077, 0.0], [-0.18869592222968, 0.0], [0.0, 0.0], [0.03254187628431835, 0.0], [1.5569983020517157, 0.0], [0.0, 0.0], [-1.2186336352458473, 0.0], [0.03947631824337617, 0.0], [0.0, 0.0], [0.9731345763298147, 0.0], [-1.0579780304015565, 0.0], [0.0, 0.0], [0.18459435904013005, 0.0], [-0.3402802801275173, 0.0], [0.0, 0.0], [0.14756232011151157, 0.0], [-1.0792101745116325, 0.0], [0.0, 0.0], [-0.8821008952695224, 0.0], [-0.11549428560444885, 0.0], [0.0, 0.0], [-0.41279158315564973, 0.0], [-1.692007562543177, 0.0], [0.0, 0.0], [0.6960792028422946, 0.0], [0.280923380457949, 0.0], [0.0, 0.0], [-0.10026837703505445, 0.0], [0.14302256385850437, 0.0], [0.0, 0.0], [0.2652873159973325, 0.0], [0.01749467026621987, 0.0], [0.0, 0.0], [-0.0647914603446507, 0.0], [-1.3540302717082826, 0.0], [0.0, 0.0], [0.1299449589287753, 0.0], [-1.5430132910931302, 0.0], [0.0, 0.0], [-0.10228062357488446, 0.0], [-0.4263718261815143, 0.0], [0.0, 0.0], [-0.8265003468904873, 0.0], [-0.08359986938128902, 0.0], [0.0, 0.0], [1.2076878270706193, 0.0], [-0.7812536053873421, 0.0], [0.0, 0.0], [0.5346177731455224, 0.0], [-0.07859805887256309, 0.0], [0.0, 0.0], [-0.1603576325331161, 0.0], [-1.0055096910050594, 0.0], [0.0, 0.0], [-1.2715207350186681, 0.0], [0.06596992560456165, 0.0], [0.0, 0.0], [-0.9465104587958915, 0.0], [-0.4184353955279574, 0.0], [0.0, 0.0], [1.2281197634375385, 0.0], [1.0484752362561733, 0.0], [0.0, 0.0], [0.01355476195667472, 0.0], [1.4645324315834163, 0.0], [0.0, 0.0], [0.6663664860709801, 0.0], [0.02514223155743805, 0.0], [0.0, 0.0], [-0.1829363263173792, 0.0], [0.6485410111840393, 0.0], [0.0, 0.0], [0.07020216745295443, 0.0], [0.3341397607709637, 0.0], [0.0, 0.0], [-0.12832631103785117, 0.0], [0.6055968318668603, 0.0], [0.0, 0.0], [-0.3632719816745048, 0.0], [0.012315350377105466, 0.0], [0.0, 0.0], [-0.2937992305156944, 0.0], [-0.2908594105036444, 0.0], [0.0, 0.0], [-0.5076009967536705, 0.0], [1.0695166725358924, 0.0], [0.0, 0.0], [-0.04040878902605035, 0.0], [0.06338312959957323, 0.0], [0.0, 0.0], [1.100322268791482, 0.0], [-0.07833040575536772, 0.0], [0.0, 0.0], [0.87417783544944, 0.0]], 'angles': [-0.24245533186568344, None, -0.22253988926718335, -0.2166089417340565, -0.10799065625655498, -0.35427811335722237, -0.3387143668823178, -0.23528951113584842, -0.3407132207533627, -0.41049900765258557, -0.1934237356380527, -0.22882670545747358, -0.36836342570871117, -0.23965201946734438, -0.2841920015044991, -0.3138708514318754, -0.33384007525923526, -0.3596566731770706, -0.1447676629430724, -0.11923134198856943, -0.1959386119419373, -0.2444123412034739, -0.2010395548426704, -0.2732282312610042, -0.15728314399038415, -0.22200663203545848, -0.3288254477598114, -0.2690375923259586, -0.27924645726586533, -0.19561481922327004, -0.24941209587598281, -0.3240432484194862, -0.369806256766761, -0.3190756227011079, -0.31992076787165763, -0.21471176458408184, -0.25755750780216996, -0.16763347052359626, -0.31830069651668386, -0.3649414928363887, -0.18632313095614364, -0.3400008505902016, -0.24653000963223143, -0.1105783141719049, -0.18555424652683503, -0.12847158342557705, -0.3182545854759307, -0.15226477969649352, -0.12794953969433034, -0.2709140101288493, -0.2750446096849374, -0.33379855602735087, -0.2967751504270558, -0.24264068519676255, -0.16343307689432973, -0.4127313172404438, -0.3131675274296708, -0.18505591634260243, -0.1840962953198369, -0.31432669223877674, -0.10044107218838395, -0.19827683014985215, -0.2923857157274874, -0.20487484990131144, -0.15972747584630015, -0.180820735704793, -0.2437883298984174, -0.1132277331392302, -0.2280985385273394, -0.3899635390149805, -0.2973705841603671, -0.1492660561545689, -0.2536501904637533, -0.29966345832245483, -0.04698925570036876, -0.10308558298453112, -0.08594605142789626, -0.29119359703437175, -0.2682966621796474, -0.32596767629283957, -0.33437322118980545, -0.21446905736634655, -0.36287732648242865, -0.13906115730347132, -0.1369672783447725, -0.4237246061864344, -0.23738692323185825, -0.4189080617788375, -0.2708923506759447, -0.14579226888784683, -0.28846975093918903, -0.3776737968057196, -0.29250186251011484, -0.23810075321533977, -0.24693953249888523, -0.2882558442067419, -0.22130175541074548, -0.3029997939574298, -0.3363274665753557, -0.10921080734397585], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 4, 'embedding_root_imag': 0.0, 'embedding_root_real': -9.27694586804902, 'hecke_orbit': 3, 'hecke_orbit_code': 9007199388958801, 'label': '81.8.a.c.1.4', 'level': 81, 'weight': 8}

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

{'ALdims': [14, 12], 'ALdims_eis_new': [2, 2], 'ALdims_eis_old': [4, 4], 'ALdims_old': [16, 15], 'Nk2': 5184, 'analytic_conductor': 25.303187064213862, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [81, 1, [2], [1]], 'conrey_index': 1, 'cusp_dim': 57, 'dim': 26, 'eis_dim': 12, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 134217809, 'hecke_orbit_dims': [4, 4, 6, 6, 6], 'label': '81.8.a', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 69, 'mf_new_dim': 30, 'num_forms': 5, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 26, 'sturm_bound': 72, 'trace_bound': 2, 'trace_display': [0, 0, 0, -164], 'traces': [26, 0, 0, 1538, 0, 0, -164, 0, 0, -3732, 0, 0, -12590, 0, 0, 113846, 0, 0, -20252, 0, 0, -35922, 0, 0, 362144, 0, 0, 109888, 0, 0, 413704, 0, 0, -293418, 0, 0, 536686, 0, 0, 223080, 0, 0, 198988, 0, 0, 2364348, 0, 0, 1330410, 0, 0, -4962932, 0, 0, -4534908, 0, 0, 5260956, 0, 0, 5425414, 0, 0, 10053530, 0, 0, -8062172, 0, 0, 18206736, 0, 0, -11800694, 0, 0, -19986806, 0, 0, -12047348, 0, 0, -15469026, 0, 0, 26755794, 0, 0, -12761106, 0, 0, 11322596, 0, 0, -12439200, 0, 0, 15267256, 0, 0, 14086298, 0, 0, -15438536, 0, 0, -113386716, 0, 0, -66927206, 0, 0, 8376400, 0, 0, 2714028, 0, 0, 87078126, 0, 0, 26453654, 0, 0, 92031400, 0, 0, -7117148, 0, 0, -16964796, 0, 0, 40643744, 0, 0, -25455510, 0, 0, -22868936, 0, 0, 70341444, 0, 0, 137955630, 0, 0, 100363300, 0, 0, 207864448, 0, 0, -316221864, 0, 0, 125898166, 0, 0, -63540, 0, 0, 405679552, 0, 0, -344957340, 0, 0, -240638316, 0, 0, -144658118, 0, 0, 278190328, 0, 0, 24969096, 0, 0, -141209084, 0, 0, 63911472, 0, 0, -283165236, 0, 0, 314035044, 0, 0, -624014450, 0, 0, -599405334, 0, 0, 268917928, 0, 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123232007508, 0, 0, 8749298460, 0, 0, -27809331616, 0, 0, 3773414836, 0, 0, 12461620228, 0, 0, -284458571586, 0, 0, -125368564988, 0, 0, 239558990238, 0, 0, -78356109536, 0, 0, -20502315324, 0, 0, -144415439610, 0, 0, 101586924920, 0, 0, 84451129532, 0, 0, -276881894436, 0, 0, 24818390110, 0, 0, -267805942260, 0, 0, 88849648384, 0, 0, 233883105846, 0, 0, 189198942584, 0, 0, 247917142312, 0, 0, 245724553080, 0, 0, -122318449254, 0, 0, 7745074848, 0, 0, -90661448820, 0, 0, -111323887760, 0, 0, 55698496032, 0, 0, -84200860488, 0, 0, 69646390804, 0, 0, -53325173180, 0, 0, -54467688324, 0, 0, -12875886716, 0, 0, -3984793020, 0, 0, -71461697772, 0, 0, 118785934926, 0, 0, -70030153046, 0, 0, -42849392280, 0, 0, 69655224840, 0, 0, -159395967258, 0, 0, 86841082154, 0, 0, 250956003456, 0, 0, 57668942028, 0, 0, -50137852044, 0, 0, -220174557342, 0, 0, 364456801294, 0, 0, -160003712276, 0, 0, -104211986412, 0, 0, -10067038432, 0, 0, 234818606512, 0, 0, 103502555172, 0, 0, -92622485778, 0, 0, 70752534606, 0, 0, 243483291128, 0, 0, -249927184820, 0, 0, 191691022536, 0, 0, 117962815030, 0, 0, -167402175540], 'weight': 8, '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: 40514687
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199388958801, 'source_is_minimal': False, 'source_label': '81.8.a.c.1.4', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007199388958801, 'target_is_minimal': False, 'target_label': '81.8.a.c.1.4', 'target_level': 81, 'twist_class_label': '9.8.c.a.4.4', 'twist_class_level': 9, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
id: 40514688
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199388958801, 'source_is_minimal': False, 'source_label': '81.8.a.c.1.4', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398643699793, 'target_is_minimal': False, 'target_label': '81.8.a.e.1.3', 'target_level': 81, 'twist_class_label': '9.8.c.a.4.4', 'twist_class_level': 9, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
id: 40514689
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199388958801, 'source_is_minimal': False, 'source_label': '81.8.a.c.1.4', 'source_level': 81, 'target_conrey_index': 4, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 137573171209, 'target_is_minimal': True, 'target_label': '9.8.c.a.4.4', 'target_level': 9, 'twist_class_label': '9.8.c.a.4.4', 'twist_class_level': 9, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 8}
id: 40514690
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199388958801, 'source_is_minimal': False, 'source_label': '81.8.a.c.1.4', 'source_level': 81, 'target_conrey_index': 19, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 137573171227, 'target_is_minimal': False, 'target_label': '27.8.c.a.19.3', 'target_level': 27, 'twist_class_label': '9.8.c.a.4.4', 'twist_class_level': 9, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 8}
id: 40514691
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199388958801, 'source_is_minimal': False, 'source_label': '81.8.a.c.1.4', 'source_level': 81, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 137573171209, 'target_is_minimal': True, 'target_label': '9.8.c.a.7.4', 'target_level': 9, 'twist_class_label': '9.8.c.a.4.4', 'twist_class_level': 9, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 8}
id: 40514692
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199388958801, 'source_is_minimal': False, 'source_label': '81.8.a.c.1.4', 'source_level': 81, 'target_conrey_index': 10, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 137573171227, 'target_is_minimal': False, 'target_label': '27.8.c.a.10.3', 'target_level': 27, 'twist_class_label': '9.8.c.a.4.4', 'twist_class_level': 9, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 8}
id: 40514693
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199388958801, 'source_is_minimal': False, 'source_label': '81.8.a.c.1.4', 'source_level': 81, 'target_conrey_index': 145, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007749144773040, 'target_is_minimal': False, 'target_label': '432.8.i.c.145.3', 'target_level': 432, 'twist_class_label': '9.8.c.a.4.4', 'twist_class_level': 9, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 8}
id: 40514694
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199388958801, 'source_is_minimal': False, 'source_label': '81.8.a.c.1.4', 'source_level': 81, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007749144772752, 'target_is_minimal': False, 'target_label': '144.8.i.c.49.4', 'target_level': 144, 'twist_class_label': '9.8.c.a.4.4', 'twist_class_level': 9, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 8}
id: 40514695
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199388958801, 'source_is_minimal': False, 'source_label': '81.8.a.c.1.4', 'source_level': 81, 'target_conrey_index': 97, 'target_dim': 12, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007749144772752, 'target_is_minimal': False, 'target_label': '144.8.i.c.97.4', 'target_level': 144, 'twist_class_label': '9.8.c.a.4.4', 'twist_class_level': 9, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 8}
id: 40514696
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 6, 'source_embedding_index': 4, 'source_hecke_orbit_code': 9007199388958801, 'source_is_minimal': False, 'source_label': '81.8.a.c.1.4', 'source_level': 81, 'target_conrey_index': 289, 'target_dim': 12, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007749144773040, 'target_is_minimal': False, 'target_label': '432.8.i.c.289.3', 'target_level': 432, 'twist_class_label': '9.8.c.a.4.4', 'twist_class_level': 9, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 8}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 255050
{'charpoly_factorization': [[[-381888, 296784, 59184, -3024, -504, 9, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 2}
id: 255051
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 9007199388958801, 'p': 3}
id: 255052
{'charpoly_factorization': [[[31744053360000, -1038790089000, 9726617025, -6308820, -215802, 180, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 5}
id: 255053
{'charpoly_factorization': [[[102270797359341148, -746089396718736, 1232153096793, 992820332, -2556606, -84, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 7}
id: 255054
{'charpoly_factorization': [[[91138834640012675391, -1161557496572208300, -1237765618832085, -385156341792, -19615275, 8460, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 11}
id: 255055
{'charpoly_factorization': [[[-2255093340493557814892, -15543323408512781148, 7404542979682137, 189369482204, -187887270, -1848, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 13}
id: 255056
{'charpoly_factorization': [[[-166492700082847130382576, 210520402376070624768, 23819070253947912, -6928758379224, -484771311, 15282, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 17}
id: 255057
{'charpoly_factorization': [[[16800857993345791317702400, -4097703949275237392640, -6177865427566176, 47934324957872, -2178600105, -12216, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 19}
id: 255058
{'charpoly_factorization': [[[27136342389505252996894648428, 1816137073084476596458248, 20091041806781931273, -617144085906948, -10036464318, 51588, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 23}
id: 255059
{'charpoly_factorization': [[[729422870661659302066496643012, -2458125098958526079957172, -483192879419674223991, -3412957437158220, 36664364538, 414648, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 29}
id: 255060
{'charpoly_factorization': [[[-153195445081948726446942692816, -1055931591113103697253040, 418953826470756019713, 2940463548541316, -69624544026, 8196, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 31}
id: 255061
{'charpoly_factorization': [[[17418862107440803407817401220864, -491456418650607169453513728, 3376495561527784807440, 11815889715571808, -141218470488, -69672, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 37}
id: 255062
{'charpoly_factorization': [[[212797677999067939788812357036769, 6151067992708273821958965054, 69509769441996510251775, 392309938617075396, 1166662280223, 1731582, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 41}
id: 255063
{'charpoly_factorization': [[[5249569418066649385643237860663, -804545788390822892479617588, 34551305967311416330683, -305543528787219712, -711900526323, 408372, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 43}
id: 255064
{'charpoly_factorization': [[[23763933834013314789521212922732748, 5677133876073281759940282456, -679398565320180907812135, -1735989107983951068, -538942765230, 1631484, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 47}
id: 255065
{'charpoly_factorization': [[[5402882262492230209304996929906944, 319677840433138846410991027584, 717530329340506736539920, -1454104216442591136, -1718420349240, 1417824, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 53}
id: 255066
{'charpoly_factorization': [[[861180909622217395678011664696691583, 1070200306062834586470591976332, -7508526576032365004159253, -13891152503839807008, -4896471861675, 2055636, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 59}
id: 255067
{'charpoly_factorization': [[[-274853211824555842264096080760633664, -4992492945756228558528932487840, -2770355024948230032906399, 14573285358913586468, -4634355124506, -2723196, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 61}
id: 255068
{'charpoly_factorization': [[[-4592122823385764341635346307062999793, -1494592917850296357080076609564, 41212864038303938098133259, -37218053633694482176, -12739783138779, 3806556, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 67}
id: 255069
{'charpoly_factorization': [[[8106591877797115679954159136162484224, 1027521401136604152359934136320, -33842673785975575338028800, -40787314436585096064, -13890082998960, 1204200, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 71}
id: 255070
{'charpoly_factorization': [[[344405939156137638975499835601692582416, 508719564021119403164672035754304, 19551044827333362061416840, -131329755466299389896, -22545849061407, 5335026, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 73}
id: 255071
{'charpoly_factorization': [[[-10737843379891912385821916082619283312, 32339667381660717327479388956712, 22236791831643988725603297, -43066235640130791028, -8849425172250, 6020916, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 79}
id: 255072
{'charpoly_factorization': [[[24177936465323773067426573714149748592, 37442653840850181620496219194112, -70926331551644138333467455, -2615864142253719564, 26868164804550, -9605052, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 83}
id: 255073
{'charpoly_factorization': [[[-147669584185232509339792295886968971200, 106294039174738850913024266963520, 455382261468937725280156656, 235259565886362197088, -2412113525892, -12315132, 1], 1]], 'hecke_orbit_code': 9007199388958801, 'p': 89}
id: 255074
{'charpoly_factorization': [[[-91395400470674933811073459492584060551063, 27583920355219544499677916908871786, 5093198541530964581855208783, -1244718749923919168884, -141678695635257, 9977226, 1], 1]], 'hecke_orbit_code': 9007199388958801, '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': 1, 'hecke_orbit': 3, 'label': '81.8.a.c', 'level': 81, 'portrait': 'data:image/png;base64,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', 'weight': 8}

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: 29070385
{'hecke_orbit_code': 9007199388958801, 'n': 1, 'trace_an': 6}
id: 29070386
{'hecke_orbit_code': 9007199388958801, 'n': 2, 'trace_an': -9}
id: 29070387
{'hecke_orbit_code': 9007199388958801, 'n': 3, 'trace_an': 0}
id: 29070388
{'hecke_orbit_code': 9007199388958801, 'n': 4, 'trace_an': 321}
id: 29070389
{'hecke_orbit_code': 9007199388958801, 'n': 5, 'trace_an': -180}
id: 29070390
{'hecke_orbit_code': 9007199388958801, 'n': 6, 'trace_an': 0}
id: 29070391
{'hecke_orbit_code': 9007199388958801, 'n': 7, 'trace_an': 84}
id: 29070392
{'hecke_orbit_code': 9007199388958801, 'n': 8, 'trace_an': -2961}
id: 29070393
{'hecke_orbit_code': 9007199388958801, 'n': 9, 'trace_an': 0}
id: 29070394
{'hecke_orbit_code': 9007199388958801, 'n': 10, 'trace_an': 126}
id: 29070395
{'hecke_orbit_code': 9007199388958801, 'n': 11, 'trace_an': -8460}
id: 29070396
{'hecke_orbit_code': 9007199388958801, 'n': 12, 'trace_an': 0}
id: 29070397
{'hecke_orbit_code': 9007199388958801, 'n': 13, 'trace_an': 1848}
id: 29070398
{'hecke_orbit_code': 9007199388958801, 'n': 14, 'trace_an': -16272}
id: 29070399
{'hecke_orbit_code': 9007199388958801, 'n': 15, 'trace_an': 0}
id: 29070400
{'hecke_orbit_code': 9007199388958801, 'n': 16, 'trace_an': 12417}
id: 29070401
{'hecke_orbit_code': 9007199388958801, 'n': 17, 'trace_an': -15282}
id: 29070402
{'hecke_orbit_code': 9007199388958801, 'n': 18, 'trace_an': 0}
id: 29070403
{'hecke_orbit_code': 9007199388958801, 'n': 19, 'trace_an': 12216}
id: 29070404
{'hecke_orbit_code': 9007199388958801, 'n': 20, 'trace_an': -40788}
id: 29070405
{'hecke_orbit_code': 9007199388958801, 'n': 21, 'trace_an': 0}
id: 29070406
{'hecke_orbit_code': 9007199388958801, 'n': 22, 'trace_an': 35001}
id: 29070407
{'hecke_orbit_code': 9007199388958801, 'n': 23, 'trace_an': -51588}
id: 29070408
{'hecke_orbit_code': 9007199388958801, 'n': 24, 'trace_an': 0}
id: 29070409
{'hecke_orbit_code': 9007199388958801, 'n': 25, 'trace_an': -4746}
id: 29070410
{'hecke_orbit_code': 9007199388958801, 'n': 26, 'trace_an': -268236}
id: 29070411
{'hecke_orbit_code': 9007199388958801, 'n': 27, 'trace_an': 0}
id: 29070412
{'hecke_orbit_code': 9007199388958801, 'n': 28, 'trace_an': 37758}
id: 29070413
{'hecke_orbit_code': 9007199388958801, 'n': 29, 'trace_an': -414648}
id: 29070414
{'hecke_orbit_code': 9007199388958801, 'n': 30, 'trace_an': 0}
id: 29070415
{'hecke_orbit_code': 9007199388958801, 'n': 31, 'trace_an': -8196}
id: 29070416
{'hecke_orbit_code': 9007199388958801, 'n': 32, 'trace_an': -1048977}
id: 29070417
{'hecke_orbit_code': 9007199388958801, 'n': 33, 'trace_an': 0}
id: 29070418
{'hecke_orbit_code': 9007199388958801, 'n': 34, 'trace_an': 106623}
id: 29070419
{'hecke_orbit_code': 9007199388958801, 'n': 35, 'trace_an': -1105308}
id: 29070420
{'hecke_orbit_code': 9007199388958801, 'n': 36, 'trace_an': 0}
id: 29070421
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id: 29070482
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id: 29070483
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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.