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
conrey_indexes	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_polredabs	boolean
is_rm	boolean
is_self_dual	boolean
is_self_twist	boolean
is_twist_minimal	boolean
label	text
level	integer
level_is_prime	boolean
level_is_prime_power	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': 1584, 'analytic_conductor': 8.451774986155478, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [11, 5, [2], [4]], 'cm_discs': [], 'conrey_index': 3, 'conrey_indexes': [3, 4, 5, 9], 'dim': 40, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 137640280075, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '11.12.c.a', 'level': 11, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [11], 'level_radical': 11, 'minimal_twist': '11.12.c.a', 'prim_orbit_index': 3, 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '11.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '11.12.c', 'trace_display': [11, -276, 6038, 55440], 'traces': [40, 11, -276, -6137, 6038, -30371, 55440, -347809, -240812, 782320, -288860, -5871146, -794178, 9181256, -9707296, -10033697, 11803154, -2661582, -33326568, 34173582, 72722452, 77957825, 75694752, -297034287, -118409216, 605949712, 348141600, -546845442, -400113538, -828772494, 514005960, -84440796, 1211751794, -899802542, -1820315508, 971066424, 1207982934, 1815036992, -2825057488, -1263004028, -3269102782, 4736681342, 2749122728, 5968984648, -1896048208, -1240862964, -2081937184, -4090087516, -2514603052, 7217881803, -1172394432, 23226253050, -7132071266, -34172203516, -9211291408, 33017775912, 30518561370, -34218647932, -12866186432, -55228105332, 2702502990, -18405787180, 33243939784, 28267347551, 28056414980, 64510531470, -549542392, -17332191778, -33459566280, -90854725304, -37002489528, 37881288247, -41936764254, 118297253448, 72805696880, 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'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

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-0.0686079774057337, -0.15844401142137007, -0.4541525694842059], 'char_orbit_index': 3, 'conrey_index': 4, 'dual_conrey_index': 3, 'dual_embedding_index': 8, 'dual_embedding_m': 8, 'embedding_index': 8, 'embedding_m': 18, 'hecke_orbit': 1, 'hecke_orbit_code': 137640280075, 'label': '11.12.c.a.4.8', 'level': 11, 'weight': 12}

Column	Type
AL_dims	jsonb
ALdims	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_prime	boolean
level_is_prime_power	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': 1584, 'analytic_conductor': 8.451774986155478, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [11, 5, [2], [4]], 'conrey_index': 3, 'cusp_dim': 40, 'dim': 40, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [], 'hecke_orbit_code': 137640280075, 'hecke_orbit_dims': [40], 'label': '11.12.c', 'level': 11, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [11], 'level_radical': 11, 'mf_dim': 48, 'mf_new_dim': 48, 'num_forms': 1, 'prim_orbit_index': 3, 'relative_dim': 10, 'sturm_bound': 12, 'trace_bound': 0, 'trace_display': [11, -276, 6038, 55440], 'traces': [40, 11, -276, -6137, 6038, -30371, 55440, -347809, -240812, 782320, -288860, -5871146, -794178, 9181256, -9707296, -10033697, 11803154, -2661582, -33326568, 34173582, 72722452, 77957825, 75694752, -297034287, -118409216, 605949712, 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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: 1637439
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 40, 'source_embedding_index': 8, 'source_hecke_orbit_code': 137640280075, 'source_is_minimal': True, 'source_label': '11.12.c.a.4.8', 'source_level': 11, 'target_conrey_index': 4, 'target_dim': 40, 'target_embedding_index': 8, 'target_hecke_orbit_code': 137640280075, 'target_is_minimal': True, 'target_label': '11.12.c.a.4.8', 'target_level': 11, 'twist_class_label': '11.12.c.a.3.8', 'twist_class_level': 11, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 12}
id: 1637440
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 40, 'source_embedding_index': 8, 'source_hecke_orbit_code': 137640280075, 'source_is_minimal': True, 'source_label': '11.12.c.a.4.8', 'source_level': 11, 'target_conrey_index': 37, 'target_dim': 40, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343798710371, 'target_is_minimal': False, 'target_label': '99.12.f.a.37.3', 'target_level': 99, 'twist_class_label': '11.12.c.a.3.8', 'twist_class_level': 11, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 12}
id: 1637441
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 40, 'source_embedding_index': 8, 'source_hecke_orbit_code': 137640280075, 'source_is_minimal': True, 'source_label': '11.12.c.a.4.8', 'source_level': 11, 'target_conrey_index': 3, 'target_dim': 40, 'target_embedding_index': 8, 'target_hecke_orbit_code': 137640280075, 'target_is_minimal': True, 'target_label': '11.12.c.a.3.8', 'target_level': 11, 'twist_class_label': '11.12.c.a.3.8', 'twist_class_level': 11, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 12}
id: 1637442
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 4, 'source_dim': 40, 'source_embedding_index': 8, 'source_hecke_orbit_code': 137640280075, 'source_is_minimal': True, 'source_label': '11.12.c.a.4.8', 'source_level': 11, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 5, 'target_hecke_orbit_code': 40532396847661177, 'target_is_minimal': False, 'target_label': '121.12.a.j.1.5', 'target_level': 121, 'twist_class_label': '11.12.c.a.3.8', 'twist_class_level': 11, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 12}
id: 1637443
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 40, 'source_embedding_index': 8, 'source_hecke_orbit_code': 137640280075, 'source_is_minimal': True, 'source_label': '11.12.c.a.4.8', 'source_level': 11, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 16, 'target_hecke_orbit_code': 31525197592920185, 'target_is_minimal': False, 'target_label': '121.12.a.h.1.16', 'target_level': 121, 'twist_class_label': '11.12.c.a.3.8', 'twist_class_level': 11, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 12}
id: 1637444
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 4, 'source_dim': 40, 'source_embedding_index': 8, 'source_hecke_orbit_code': 137640280075, 'source_is_minimal': True, 'source_label': '11.12.c.a.4.8', 'source_level': 11, 'target_conrey_index': 91, 'target_dim': 40, 'target_embedding_index': 3, 'target_hecke_orbit_code': 343798710371, 'target_is_minimal': False, 'target_label': '99.12.f.a.91.3', 'target_level': 99, 'twist_class_label': '11.12.c.a.3.8', 'twist_class_level': 11, 'twisting_char_label': '33.14', 'twisting_conrey_index': 14, 'weight': 12}

hecke_orbit_code 137640280075 does not appear in mf_hecke_charpolys

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': 3, 'hecke_orbit': 1, 'label': '11.12.c.a', 'level': 11, 'portrait': 'data:image/png;base64,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', 'weight': 12}

Column	Type
hecke_orbit_code	bigint
n	integer
trace_an	numeric

mf_hecke_traces • Show schema

id: 24000000
{'hecke_orbit_code': 137640280075, 'n': 1, 'trace_an': 40}
id: 24000001
{'hecke_orbit_code': 137640280075, 'n': 2, 'trace_an': 11}
id: 24000002
{'hecke_orbit_code': 137640280075, 'n': 3, 'trace_an': -276}
id: 24000003
{'hecke_orbit_code': 137640280075, 'n': 4, 'trace_an': -6137}
id: 24000004
{'hecke_orbit_code': 137640280075, 'n': 5, 'trace_an': 6038}
id: 24000005
{'hecke_orbit_code': 137640280075, 'n': 6, 'trace_an': -30371}
id: 24000006
{'hecke_orbit_code': 137640280075, 'n': 7, 'trace_an': 55440}
id: 24000007
{'hecke_orbit_code': 137640280075, 'n': 8, 'trace_an': -347809}
id: 24000008
{'hecke_orbit_code': 137640280075, 'n': 9, 'trace_an': -240812}
id: 24000009
{'hecke_orbit_code': 137640280075, 'n': 10, 'trace_an': 782320}
id: 24000010
{'hecke_orbit_code': 137640280075, 'n': 11, 'trace_an': -288860}
id: 24000011
{'hecke_orbit_code': 137640280075, 'n': 12, 'trace_an': -5871146}
id: 24000012
{'hecke_orbit_code': 137640280075, 'n': 13, 'trace_an': -794178}
id: 24000013
{'hecke_orbit_code': 137640280075, 'n': 14, 'trace_an': 9181256}
id: 24000014
{'hecke_orbit_code': 137640280075, 'n': 15, 'trace_an': -9707296}
id: 24000015
{'hecke_orbit_code': 137640280075, 'n': 16, 'trace_an': -10033697}
id: 24000016
{'hecke_orbit_code': 137640280075, 'n': 17, 'trace_an': 11803154}
id: 24000017
{'hecke_orbit_code': 137640280075, 'n': 18, 'trace_an': -2661582}
id: 24000018
{'hecke_orbit_code': 137640280075, 'n': 19, 'trace_an': -33326568}
id: 24000019
{'hecke_orbit_code': 137640280075, 'n': 20, 'trace_an': 34173582}
id: 24000020
{'hecke_orbit_code': 137640280075, 'n': 21, 'trace_an': 72722452}
id: 24000021
{'hecke_orbit_code': 137640280075, 'n': 22, 'trace_an': 77957825}
id: 24000022
{'hecke_orbit_code': 137640280075, 'n': 23, 'trace_an': 75694752}
id: 24000023
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id: 24000838
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id: 24000889
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id: 24000890
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id: 24000891
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id: 24000892
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id: 24000893
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id: 24000894
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id: 24000902
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id: 24000912
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id: 24000916
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id: 24000917
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id: 24000918
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id: 24000919
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id: 24000920
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id: 24000921
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id: 24000922
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id: 24000923
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id: 24000924
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id: 24000925
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id: 24000926
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id: 24000927
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id: 24000928
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id: 24000929
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id: 24000930
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id: 24000931
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id: 24000932
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id: 24000933
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id: 24000934
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id: 24000935
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id: 24000936
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id: 24000937
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id: 24000938
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id: 24000939
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id: 24000940
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id: 24000941
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id: 24000942
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id: 24000943
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id: 24000944
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id: 24000945
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id: 24000946
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id: 24000947
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id: 24000948
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id: 24000949
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id: 24000950
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id: 24000951
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id: 24000952
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id: 24000953
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id: 24000954
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id: 24000955
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id: 24000956
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id: 24000957
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id: 24000958
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id: 24000959
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id: 24000960
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id: 24000961
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id: 24000962
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id: 24000963
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id: 24000964
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id: 24000965
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id: 24000966
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id: 24000967
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id: 24000968
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id: 24000969
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id: 24000970
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id: 24000971
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id: 24000972
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id: 24000973
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id: 24000974
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id: 24000975
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id: 24000976
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id: 24000977
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id: 24000978
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id: 24000979
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id: 24000980
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id: 24000981
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id: 24000982
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id: 24000983
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id: 24000984
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id: 24000985
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id: 24000986
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id: 24000987
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id: 24000988
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id: 24000989
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id: 24000990
{'hecke_orbit_code': 137640280075, 'n': 991, 'trace_an': -33381759868718800}
id: 24000991
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id: 24000992
{'hecke_orbit_code': 137640280075, 'n': 993, 'trace_an': -108727096036694204}
id: 24000993
{'hecke_orbit_code': 137640280075, 'n': 994, 'trace_an': -45830053166394764}
id: 24000994
{'hecke_orbit_code': 137640280075, 'n': 995, 'trace_an': -69307215508002536}
id: 24000995
{'hecke_orbit_code': 137640280075, 'n': 996, 'trace_an': 170500422209198928}
id: 24000996
{'hecke_orbit_code': 137640280075, 'n': 997, 'trace_an': 60574417831936998}
id: 24000997
{'hecke_orbit_code': 137640280075, 'n': 998, 'trace_an': -9259103895993314}
id: 24000998
{'hecke_orbit_code': 137640280075, 'n': 999, 'trace_an': 367962094710287024}
id: 24000999
{'hecke_orbit_code': 137640280075, 'n': 1000, 'trace_an': -93541659461638696}

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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.