LMFDB - Embedded newform data

Formats: - HTML - YAML - JSON - 2026-09-22T07:37:53.960441

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': 33124, 'analytic_conductor': 66.12411791382229, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1], [13, 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': [8281, 1, [1522, 3382], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 27004, 'field_disc_factorization': [[2, 2], [43, 1], [157, 1]], 'field_poly': [1, 3, -6, -1, 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, [1, -3, -6, 1, 1]], [3, [-6, -16, -9, 1, 1]], [5, [-9, 1, 12, -7, 1]], [11, [-6, -16, -9, 1, 1]], [17, [-53, 60, -12, -4, 1]]], 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755753049, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], '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': '8281.2.a.bp', 'level': 8281, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'minimal_twist': '91.2.f.c', 'nf_label': '4.4.27004.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+\\beta _{3}q^{3}+(1+\\beta _{1}+\\beta _{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8281.2.a', 'trace_display': [-1, -1, 7, 0], 'trace_hash': 1014378647687470421, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.091', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.723', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.162', 'prec': 10}, {'__RealLiteral__': 0, 'data': '35.893', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '502.707', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 7}, 'traces': [4, -1, -1, 5, 7, 5, 0, -6, 7, 11, -1, -12, 0, 0, 3, 19, 4, -3, -1, 2, 0, 5, -2, 3, 5, 0, 26, 0, 1, -4, 4, -33, 19, -3, 0, -34, -10, 23, 0, 17, 22, 0, 3, -12, 11, 24, -2, -11, 0, 43, 7, 0, 2, -5, 3, 0, -17, -11, 8, -11, -8, 5, 0, 14, 0, -6, -6, 33, 18, 0, -14, 5, 8, 20, 7, -32, 0, 0, -26, -7, 24, 14, 0, 0, 5, 12, -13, 3, 1, -26, 0, 12, -7, -33, 21, 58, -3, 0, 23, 18, 9, 7, -22, 0, 0, 5, 23, 7, 28, -4, 26, 0, -24, -24, 20, -20, 0, -31, 0, -29, -25, 12, 10, 37, 18, 0, 17, -53, 4, 0, 39, -19, 0, 53, 47, -46, -37, -26, -15, 0, 5, -18, 0, 19, -9, -4, 0, -30, -13, -38, -8, 95, -11, 0, 13, 0, -11, 2, 53, -14, 0, 40, 32, -18, 32, 45, 20, 0, 0, 35, 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358, -10, -147, 93, 58, 115, 0, 4, -53, 0, 286, -12, 242, 0, 25, -115, -176, 111, -113, 40, 0, -153, 0, -53, 112, -105, -92, 0, 378, -214, -36, -54, 68, 61, 0, 0, 260, -23, -141, 92, -61, 0, 90, 71, 49, 101, -215, 76, 0, -111, -84, -4, -33, -92, 35, 0, 170, 19, 10, -153, 121, 0, 0, 83, -115, -39, 59, -102, -63, 0, -29, 76, -75, -14, 0, 65, 0, -66, -120, -82, -48, -17, -302, 0, 255, 41, -47, 0, -6, 54, 0, 92, 194, -159, 43, 113, -14, 0, 115, 182, 0, -96, -50, 165, 0, 78, 123, -4, -60, 88, 75, 0, 167, 0, -107, 60, -45, -216, 0, 217, -11, -229, -28, 4, -170, 0, 0, -12, -48, -15, 27, 1, 0, -220, 105, 49, 98, 142, 90, 0, 77, 136, 69, -35, -222, 31, 0, -36, 47, -155, 99, -12, 0, 0, -11, -155, 233, -2, -88, 129, 0, -52, -85, 86, -112, 0, 50, 0, -2, 113, -57, -32, -83, 151, 0, 17, 101, 80, 0, 75, 37, 0, -12, -64, 102, 119, 6, 12, 0, 55, -131, 0, 227, -112, 106, 0, 281, 45, -212, -227, -18, -32, 0, -119, 0, 107, 2, -88, 28, 0, -161, 77, -63, -110, 110, -36, 0, 0, -25, 235, 38, -156, -12, 0, -136, 143, 77, 157, 49, -52, 0, 161, 169, -221, 46, -71, 64, 0, -83, 39, -73, 223, 106, 0, 0, -80, -13, 48, -14, -88, -41, 0, -105, 95, 66, -10, 0, 202, 0, 57, 38, -120, -15, 68, 260, 0, -116, -32, 55, 0, -19, 72, 0, 30, -226, -76, 120, 67, 69, 0, 335, -38, 0, -8, 47, 120, 0, -181, 36, -103, -138, -16, -318, 0, 17, 0, -289, -80, 155, 316, 0, 36, -137, 50, 162, 2, -30, 0, 0, 72, -76, -31, 296, -118, 0, -140, 0, 0, -94, 84, 59, 0, 169, -89, -279, 259, 203, 64, 0, 120, -196, -49, -349, 91, 0, 0, 14, 50, 13, 70, -98, -23, 0, 216, 106, 38, 100, 0, -122, 0, 31, 118, 34, 17, -35, -19, 0, 64, -101, -193, 0, 242, -15, 0, 111, 66, -127, -48, -28, 127, 0, -60, -213, 0, -48, 234, -25, 0, -46, -16, 59, 47, 69, 4, 0, 67, 0, 121, -291, 175, -112, 0, -87, 9, -160, 20, 156, 54, 0, 0, -97, 9, 243, 230, -77, 0, 190, -89, 65, -174, -17, -56, 0, -197, -141, 103, -14, -78, -75, 0, -46, 70, 89, 118, -19, 0, 0, -76, 56, 9, 8, -19, -43, 0, -118, 76, 430, -90, 0, -196, 0, 46, -302, 32, -60, 89, 121, 0, 180, -112, 195, 0, -62, 56, 0, -178, -30, 67, -34, 38, 76, 0, -142, -134, 0, -188, 66, -8, 0, 9, -2, -116, 155, 69, 243, 0, 60, 0, 246, 107, 111, 123, 0, -316, 183, 65, -9, -97, -50, 0, 0, 23, -57, 130, -119, 24, 0, 122, -128, 70, 153], '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], [-1.9382376568234225, 0.0], [-0.7879788724605689, 0.0], [2.7567652143283516, 0.0], [-0.3314219374540471, 0.0], [1.5272903233843356, 0.0], [0.0, 0.0], [-3.4050284926086816, 0.0], [-0.37908929655577056, 0.0], [0.642374479470811, 0.0], [-0.4115085451816488, 0.0], [-2.172272745224973, 0.0], [0.0, 0.0], [0.0, 0.0], [0.2611534845837372, 0.0], [3.84298923260249, 0.0], [1.0062102121486798, 0.0], [0.7347651498830963, 0.0], [-1.6669474563990163, 0.0], [-0.9136524684386236, 0.0], [0.0, 0.0], [0.7976013583756946, 0.0], [-0.4865585801245729, 0.0], [2.683090512301899, 0.0], [-0.8901594993742057, 0.0], [0.0, 0.0], [1.0866932289224551, 0.0], [0.0, 0.0], [-0.07569480591238052, 0.0], [-0.5061775180308545, 0.0], [0.49794644072644817, 0.0], [-4.043597952788411, 0.0], [0.3242600394401247, 0.0], [-1.950274523866856, 0.0], [0.0, 0.0], [-1.0450601858691528, 0.0], [-1.003804010654863, 0.0], [3.230940331938594, 0.0], [0.0, 0.0], [1.1285011401066027, 0.0], [-0.1959375397878641, 0.0], [0.0, 0.0], [-0.26551251299260337, 0.0], [-1.1344324427556363, 0.0], [0.1256385091326053, 0.0], [0.9430661622479837, 0.0], [0.854539331869279, 0.0], [-3.0281943223842167, 0.0], [0.0, 0.0], [1.7253406622661713, 0.0], [-0.7928723884272265, 0.0], [0.0, 0.0], [0.6274332609276954, 0.0], [-2.106269737712539, 0.0], [0.13638295932299832, 0.0], [0.0, 0.0], [1.31351937714431, 0.0], [0.14671452324531617, 0.0], [1.4300277140128044, 0.0], [0.719938841901082, 0.0], [-0.835437251818214, 0.0], [-0.9651385424971941, 0.0], [0.0, 0.0], [3.9944645885461085, 0.0], [0.0, 0.0], [-0.6284930190458979, 0.0], [-1.6810103302180088, 0.0], [2.773885311153431, 0.0], [0.38339788135257635, 0.0], [0.0, 0.0], [-0.5714659885459495, 0.0], [1.290809856015381, 0.0], [-0.7104245972656126, 0.0], [1.9456107335216353, 0.0], [0.7014268786269511, 0.0], [-4.5953827619139345, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.0267355060654313, 0.0], [-1.2736509370841589, 0.0], [-0.4772020086810805, 0.0], [0.3797735180021758, 0.0], [-1.2882785732251487, 0.0], [0.0, 0.0], [-0.33348013799636317, 0.0], [0.5146263510400821, 0.0], [0.059645907813959204, 0.0], [1.4011983212954613, 0.0], [0.18666619383984523, 0.0], [-0.24351728954796906, 0.0], [0.0, 0.0], [-1.3413277684204166, 0.0], [-0.3923712749093801, 0.0], [-1.6563003122657642, 0.0], [0.5524629556338576, 0.0], [3.1862697555220767, 0.0], [-0.9680120191920278, 0.0], [0.0, 0.0], [0.15599848491959978, 0.0], [-2.45396074307875, 0.0]], 'angles': [-0.46034426328642314, -0.31445267411757166, -0.27649594046625303, None, -0.28298238057007247, None, -0.1660954286740845, -0.40682568119182855, -0.2891115774905729, -0.2560250402518422, -0.2099534417125127, -0.3336830990065434, -0.2656172643753466, -0.27119137504941676, -0.17973774816831284, -0.19921290187445656, -0.12321018109696458, -0.31858510658110517, -0.4088708397574536, -0.29611852264051697, -0.30779571175211073, -0.3358011544655708, -0.36139214659187957, -0.23512392497728943, -0.33040935936183313, -0.18919529403640228, -0.2720921678749088, -0.2385546609829681, -0.2280456594785556, -0.34928814817502474, -0.2112721237800977, -0.16765649808034624, -0.3518203902476678, -0.3229306696019309, -0.19572913443619025, -0.2659697400703664, -0.16379255482292418, -0.2879267814056336, -0.2978317795069163, -0.24900498555722228, -0.24542762093447187, -0.18989629306281294, -0.1917194385552276, -0.19930842601921794, -0.438757190532807, -0.3084672443305088, -0.15267837430559122, -0.2557050664231703, -0.0992040311061549, -0.2749737673251454, -0.1324681993871861, -0.217581046049752, -0.1860395529872607, -0.2180698137509372, -0.38731468737273683, -0.2977158221775953, -0.426857723559113, -0.24854792361221809, -0.47194929090138776, -0.22955548573105772, -0.14211270774648088, -0.33682677325240046, -0.3359375117141941, -0.3313566769618811, -0.2808477054827056, -0.37435437682493844, -0.26311635997252425, -0.39842986728833235, -0.2756868732690304, -0.09920892872532634, -0.11228575742245567, -0.1437423042814993, -0.4510928642738192, -0.3048493104022845, -0.1060735531377706, -0.23008058381841054, -0.2574841782852657, -0.3407620347912714, -0.3092396505632567, -0.1578649747041284, -0.26313912945000395, -0.35479627367381056, -0.20814124002984424, -0.1932861394331448, -0.1940455876852761, -0.37757291754135286, -0.117884401337142, -0.1697909732320515, -0.35963444888827023, -0.22900778435798877, -0.4655962362750783, -0.3833473743284002, -0.14587919906717145, -0.026851164139518574, -0.31639512224574773, -0.14081049449128638, -0.3133089200784715, -0.3195054277997761, -0.21483822577184483, -0.1881908483760483], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.741081981381933, 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755753049, 'label': '8281.2.a.bp.1.1', 'level': 8281, '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

{'ALdims': [118, 130, 131, 123], 'ALdims_eis_new': [10, 12, 15, 18], 'ALdims_eis_old': [17, 16, 13, 10], 'ALdims_old': [74, 73, 74, 70], 'Nk2': 33124, 'analytic_conductor': 66.12411791382229, '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': [8281, 1, [1522, 3382], [1, 1]], 'conrey_index': 1, 'cusp_dim': 793, 'dim': 502, 'eis_dim': 111, 'eis_new_dim': 55, 'hecke_cutter_primes': [2, 3, 5, 11, 17], 'hecke_orbit_code': 33562713, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 16, 24, 24, 24, 24, 32, 36, 36], 'label': '8281.2.a', 'level': 8281, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'mf_dim': 904, 'mf_new_dim': 557, 'num_forms': 78, 'plus_dim': 241, 'prim_orbit_index': 1, 'relative_dim': 502, 'sturm_bound': 1698, 'trace_bound': 17, 'trace_display': [0, -4, 2, 0], 'traces': [502, 0, -4, 472, 2, 0, 0, 12, 442, 6, -4, -4, 0, 0, -4, 416, 0, 4, -12, -2, 0, 14, 6, -4, 404, 0, 2, 0, 20, 58, -4, 44, -4, 2, 0, 354, 16, -20, 0, 14, 2, 0, 22, 28, 22, 8, 8, 46, 0, 40, 6, 0, 16, 48, 16, 0, 16, 40, 16, 0, -24, -10, 0, 318, 0, 26, 0, 90, -16, 0, -28, 40, -22, 70, -54, 16, 0, 0, 34, -38, 246, 52, 24, 0, 24, -52, 16, 42, 26, 28, 0, -140, 28, -2, 22, -4, -6, 0, 0, 280, 34, -72, -26, 0, 0, -36, -76, 12, 8, -92, 12, 0, 16, 28, 0, -10, 0, 56, 0, 142, 222, 18, 40, 4, 36, 0, 56, -52, 58, 0, 22, -8, 0, -32, -60, 30, -60, 68, 24, 0, -24, -18, 0, 260, 80, -4, 0, 92, 32, -4, 16, -68, -52, 0, 24, 0, 74, -76, 50, 50, 0, -56, 48, -18, 70, -126, -32, 0, 0, -36, -8, 54, -42, 12, 0, -12, -72, -40, 18, 54, 16, 0, 110, -56, -148, -236, -4, -52, 0, -44, 2, 112, 4, -108, 0, 0, 128, 140, 40, 84, -112, 22, 0, -80, 46, -16, 54, 0, -46, 0, 76, 72, 20, 28, 12, -24, 0, -172, 28, 102, 0, -20, 4, 0, 64, -92, 60, 140, 26, 106, 0, 140, -150, 0, -52, 76, 138, 0, -48, 52, -10, -184, -38, 6, 0, -126, 0, 44, -208, 16, 0, 0, -40, -8, -12, 92, -82, 92, 0, 0, -10, -28, -92, 202, 28, 0, -68, 56, -54, 256, 96, 84, 0, -118, -32, 36, 64, 56, 8, 0, -108, -30, 68, 104, 30, 0, 0, 284, -8, -114, 40, -118, -34, 0, -152, 182, -72, 108, 0, 212, 0, 356, -138, -36, 120, 10, 56, 0, -54, -108, -18, 0, -62, 78, 0, 154, 24, 12, -68, 106, 10, 0, -68, 252, 0, 86, 84, 42, 0, 116, 40, 32, 68, -92, -30, 0, 84, 0, -226, -108, 80, -110, 0, -52, -196, -42, -218, -118, -18, 0, 0, 106, -90, -194, 30, -30, 0, -64, -96, 238, 122, 30, -146, 0, -152, -168, 96, -60, -14, -64, 0, 272, 136, -82, -204, 90, 0, 0, -60, -314, 72, -156, -112, -4, 0, -10, -24, 2, -94, 0, -40, 0, -168, -200, -28, 132, -34, -92, 0, -194, -128, -66, 0, 26, 14, 0, 66, 56, 10, -84, 52, -22, 0, 92, -110, 0, -122, 84, -158, 0, 92, -100, -28, -176, -170, 96, 0, -2, 0, -30, 56, 218, 56, 0, 88, -60, 44, 34, -44, 80, 0, 0, -44, 8, 62, 26, 4, 0, 132, 376, 52, 204, 68, -80, 0, -70, 116, -182, -126, 36, 38, 0, -44, 180, -142, 56, -260, 0, 0, -52, -40, 30, -180, -108, 48, 0, -54, 282, 12, 120, 0, -70, 0, 154, -24, -48, 44, -6, 104, 0, 42, 56, -12, 0, -112, 16, 0, 288, 32, 40, 28, 104, -44, 0, 144, 266, 0, 468, 46, 224, 0, -272, -108, -70, 68, 182, -120, 0, -128, 0, -94, 144, 278, -24, 0, 32, 128, -16, -56, -192, -112, 0, 0, -244, 44, -178, -158, -62, 0, 96, 120, 48, 62, -2, 148, 0, 136, -280, 102, 20, 8, -64, 0, 180, -514, 242, 80, 206, 0, 0, -48, -144, -292, -172, -116, -84, 0, 192, -170, 12, 350, 0, -98, 0, -382, -240, 34, -80, 64, -48, 0, -672, 92, -30, 0, 10, 48, 0, 126, 140, 88, 280, -18, -92, 0, -156, -154, 0, -96, 68, 46, 0, 28, 128, 6, -308, 266, 274, 0, 154, 0, 116, 44, 96, 244, 0, -68, -284, -44, -154, -234, 60, 0, 0, 34, -86, -70, 308, 40, 0, 116, -252, 72, 30, 20, -414, 0, 116, -124, -240, -34, 8, -4, 0, 96, -346, -176, -212, -44, 0, 0, -32, -12, -292, 20, -10, 86, 0, 34, 360, -86, -24, 0, -288, 0, 12, -50, 76, 332, -24, 56, 0, 154, -56, -16, 0, -186, 12, 0, 154, -92, -20, -232, 16, -286, 0, 188, 478, 0, -2, 4, -146, 0, 112, 144, -72, 208, -78, -218, 0, 50, 0, 120, 208, -142, -226, 0, -404, 180, 28, 206, -262, -48, 0, 0, 174, 48, 192, 12, -110, 0, -48, -228, -294, -304, -16, 122, 0, -560, 400, 134, 94, 66, -84, 0, -116, 26, -50, -256, -224, 0, 0, -128, -416, 60, 280, 36, -32, 0, 548, -108, 0, -316, 0, -96, 0, -74, 26, -132, -204, 70, -112, 0, -82, 252, -236, 0, 118, 38, 0, -292, 0, -10, -372, -44, -182, 0, -308, -344, 0, 174, -52, 74, 0, -96, 100, 56, 240, 74, -232, 0, -438, 0, 96, -228, 314, -212, 0, -208, 344, -66, 60, 194, 104, 0, 0, 136, 66, 326, 160, 84, 0, 88, 16, 158, -586, 48, -14, 0, 166, -88, -96, 102, 24, 72, 0, -196, -230, 28, 488, 214, 0, 0, 112, -212, 122, 308, 56, -120, 0, -50, -62, -12, -480, 0, 548, 0, 264, 616, -94, 100, 0, 130, 0, 428, 12, -170, 0, 204, 52, 0, -212, -328, -104, 368, 86, -118, 0, 284, 76, 0, -572, -26, -476, 0, -256, 64, 80, -264, 272, 270, 0, -222, 0, -152, -348, -180, 318, 0, -184, 36, -68, 338, 434, -220, 0, 0, -236, -68, -1192, -292, -128, 0, -256, -20, -378, 74, -76, 466, 0, 10, 168, 202, 100, -72, -6, 0, -148, -38, 298, -196, 120, 0, 0, 180, 136, -152, 16, -2, 60, 0, -398, 68, 136, -192, 0, -42, 0, -94, -510, 234, -272, -80, -76, 0, 326, -36, 332, 0, 274, -56, 0, -30, 96, 92, -420, -84, -2, 0, -316, -280, 0, -488, -38, -246, 0, 60, 72, -68, 260, -158, -442, 0, -66, 0, -314, 172, -570, 66, 0, -44, -456, 152, -502, 240, 176, 0, 0, 250, 44, 226, -548, 80, 0, -412, -528, -94, 298, 80, -222], '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: 48955623
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 184647584755753049, 'target_is_minimal': False, 'target_label': '8281.2.a.bp.1.1', 'target_level': 8281, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
id: 48955624
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307260575, 'target_is_minimal': False, 'target_label': '1183.2.a.k.1.1', 'target_level': 1183, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
id: 48955625
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 295, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029140649902717, 'target_is_minimal': False, 'target_label': '637.2.f.i.295.4', 'target_level': 637, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 48955626
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 393, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029140649902717, 'target_is_minimal': False, 'target_label': '637.2.f.i.393.4', 'target_level': 637, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
id: 48955627
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 202661983265235033, 'target_is_minimal': False, 'target_label': '8281.2.a.bt.1.4', 'target_level': 8281, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
id: 48955628
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 373, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036408624120445, 'target_is_minimal': False, 'target_label': '637.2.g.k.373.4', 'target_level': 637, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.3', 'twisting_conrey_index': 3, 'weight': 2}
id: 48955629
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 263, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532808996749949, 'target_is_minimal': False, 'target_label': '637.2.g.j.263.4', 'target_level': 637, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.9', 'twisting_conrey_index': 9, 'weight': 2}
id: 48955630
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 165, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029278088856189, 'target_is_minimal': False, 'target_label': '637.2.h.i.165.1', 'target_level': 637, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.16', 'twisting_conrey_index': 16, 'weight': 2}
id: 48955631
{'conductor': 91, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 337, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021735236732063, 'target_is_minimal': False, 'target_label': '1183.2.c.g.337.1', 'target_level': 1183, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.34', 'twisting_conrey_index': 34, 'weight': 2}
id: 48955632
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 29, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007542885679195, 'target_is_minimal': True, 'target_label': '91.2.f.c.29.4', 'target_level': 91, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.48', 'twisting_conrey_index': 48, 'weight': 2}
id: 48955633
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 22, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007542885679195, 'target_is_minimal': True, 'target_label': '91.2.f.c.22.4', 'target_level': 91, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.55', 'twisting_conrey_index': 55, 'weight': 2}
id: 48955634
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 263, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45036408624120445, 'target_is_minimal': False, 'target_label': '637.2.g.k.263.4', 'target_level': 637, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.61', 'twisting_conrey_index': 61, 'weight': 2}
id: 48955635
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 165, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525678461485693, 'target_is_minimal': False, 'target_label': '637.2.h.h.165.1', 'target_level': 637, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.68', 'twisting_conrey_index': 68, 'weight': 2}
id: 48955636
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 471, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029278088856189, 'target_is_minimal': False, 'target_label': '637.2.h.i.471.1', 'target_level': 637, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.74', 'twisting_conrey_index': 74, 'weight': 2}
id: 48955637
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 373, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532808996749949, 'target_is_minimal': False, 'target_label': '637.2.g.j.373.4', 'target_level': 637, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.81', 'twisting_conrey_index': 81, 'weight': 2}
id: 48955638
{'conductor': 91, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 337, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021735236732063, 'target_is_minimal': False, 'target_label': '1183.2.c.g.337.8', 'target_level': 1183, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.83', 'twisting_conrey_index': 83, 'weight': 2}
id: 48955639
{'conductor': 91, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 471, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525678461485693, 'target_is_minimal': False, 'target_label': '637.2.h.h.471.1', 'target_level': 637, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.87', 'twisting_conrey_index': 87, 'weight': 2}
id: 48955640
{'conductor': 91, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49539595934631071, 'target_is_minimal': False, 'target_label': '1183.2.a.l.1.4', 'target_level': 1183, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '91.90', 'twisting_conrey_index': 90, 'weight': 2}
id: 48955641
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 568, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526159497823027, 'target_is_minimal': False, 'target_label': '819.2.o.h.568.1', 'target_level': 819, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '273.146', 'twisting_conrey_index': 146, 'weight': 2}
id: 48955642
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526159497823027, 'target_is_minimal': False, 'target_label': '819.2.o.h.757.1', 'target_level': 819, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '273.230', 'twisting_conrey_index': 230, 'weight': 2}
id: 48955643
{'conductor': 364, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 113, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72058831022065072, 'target_is_minimal': False, 'target_label': '1456.2.s.q.113.3', 'target_level': 1456, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '364.55', 'twisting_conrey_index': 55, 'weight': 2}
id: 48955644
{'conductor': 364, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 184647584755753049, 'source_is_minimal': False, 'source_label': '8281.2.a.bp.1.1', 'source_level': 8281, 'target_conrey_index': 1121, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72058831022065072, 'target_is_minimal': False, 'target_label': '1456.2.s.q.1121.3', 'target_level': 1456, 'twist_class_label': '91.2.f.c.22.4', 'twist_class_level': 91, 'twisting_char_label': '364.139', 'twisting_conrey_index': 139, 'weight': 2}

Column	Type
charpoly_factorization	jsonb
hecke_orbit_code	bigint
p	integer

mf_hecke_charpolys • Show schema

id: 4710700
{'charpoly_factorization': [[[1, -3, -6, 1, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 2}
id: 4710701
{'charpoly_factorization': [[[-6, -16, -9, 1, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 3}
id: 4710702
{'charpoly_factorization': [[[-9, 1, 12, -7, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 5}
id: 4710703
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 184647584755753049, 'p': 7}
id: 4710704
{'charpoly_factorization': [[[-6, -16, -9, 1, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 11}
id: 4710705
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 184647584755753049, 'p': 13}
id: 4710706
{'charpoly_factorization': [[[-53, 60, -12, -4, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 17}
id: 4710707
{'charpoly_factorization': [[[500, 0, -55, 1, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 19}
id: 4710708
{'charpoly_factorization': [[[72, -56, -38, 2, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 23}
id: 4710709
{'charpoly_factorization': [[[-5, -21, -22, -1, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 29}
id: 4710710
{'charpoly_factorization': [[[54, 26, -13, -4, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 31}
id: 4710711
{'charpoly_factorization': [[[-16, -44, 17, 10, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 37}
id: 4710712
{'charpoly_factorization': [[[-564, -226, 149, -22, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 41}
id: 4710713
{'charpoly_factorization': [[[-2, 8, -3, -3, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 43}
id: 4710714
{'charpoly_factorization': [[[100, 12, -51, 2, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 47}
id: 4710715
{'charpoly_factorization': [[[-1389, 890, -140, -2, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 53}
id: 4710716
{'charpoly_factorization': [[[-706, 550, -77, -8, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 59}
id: 4710717
{'charpoly_factorization': [[[-100, -176, -15, 8, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 61}
id: 4710718
{'charpoly_factorization': [[[11010, -634, -211, 6, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 67}
id: 4710719
{'charpoly_factorization': [[[-2032, -712, -16, 14, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 71}
id: 4710720
{'charpoly_factorization': [[[1772, 88, -119, -8, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 73}
id: 4710721
{'charpoly_factorization': [[[-7680, -1024, 134, 26, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 79}
id: 4710722
{'charpoly_factorization': [[[-426, 442, -97, 0, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 83}
id: 4710723
{'charpoly_factorization': [[[-108, 184, -71, -1, 1], 1]], 'hecke_orbit_code': 184647584755753049, 'p': 89}
id: 4710724
{'charpoly_factorization': [[[15692, -668, -305, 3, 1], 1]], 'hecke_orbit_code': 184647584755753049, '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': 42, 'label': '8281.2.a.bp', 'level': 8281, 'portrait': 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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: 70754929
{'hecke_orbit_code': 184647584755753049, 'n': 1, 'trace_an': 4}
id: 70754930
{'hecke_orbit_code': 184647584755753049, 'n': 2, 'trace_an': -1}
id: 70754931
{'hecke_orbit_code': 184647584755753049, 'n': 3, 'trace_an': -1}
id: 70754932
{'hecke_orbit_code': 184647584755753049, 'n': 4, 'trace_an': 5}
id: 70754933
{'hecke_orbit_code': 184647584755753049, 'n': 5, 'trace_an': 7}
id: 70754934
{'hecke_orbit_code': 184647584755753049, 'n': 6, 'trace_an': 5}
id: 70754935
{'hecke_orbit_code': 184647584755753049, 'n': 7, 'trace_an': 0}
id: 70754936
{'hecke_orbit_code': 184647584755753049, 'n': 8, 'trace_an': -6}
id: 70754937
{'hecke_orbit_code': 184647584755753049, 'n': 9, 'trace_an': 7}
id: 70754938
{'hecke_orbit_code': 184647584755753049, 'n': 10, 'trace_an': 11}
id: 70754939
{'hecke_orbit_code': 184647584755753049, 'n': 11, 'trace_an': -1}
id: 70754940
{'hecke_orbit_code': 184647584755753049, 'n': 12, 'trace_an': -12}
id: 70754941
{'hecke_orbit_code': 184647584755753049, 'n': 13, 'trace_an': 0}
id: 70754942
{'hecke_orbit_code': 184647584755753049, 'n': 14, 'trace_an': 0}
id: 70754943
{'hecke_orbit_code': 184647584755753049, 'n': 15, 'trace_an': 3}
id: 70754944
{'hecke_orbit_code': 184647584755753049, 'n': 16, 'trace_an': 19}
id: 70754945
{'hecke_orbit_code': 184647584755753049, 'n': 17, 'trace_an': 4}
id: 70754946
{'hecke_orbit_code': 184647584755753049, 'n': 18, 'trace_an': -3}
id: 70754947
{'hecke_orbit_code': 184647584755753049, 'n': 19, 'trace_an': -1}
id: 70754948
{'hecke_orbit_code': 184647584755753049, 'n': 20, 'trace_an': 2}
id: 70754949
{'hecke_orbit_code': 184647584755753049, 'n': 21, 'trace_an': 0}
id: 70754950
{'hecke_orbit_code': 184647584755753049, 'n': 22, 'trace_an': 5}
id: 70754951
{'hecke_orbit_code': 184647584755753049, 'n': 23, 'trace_an': -2}
id: 70754952
{'hecke_orbit_code': 184647584755753049, 'n': 24, 'trace_an': 3}
id: 70754953
{'hecke_orbit_code': 184647584755753049, 'n': 25, 'trace_an': 5}
id: 70754954
{'hecke_orbit_code': 184647584755753049, 'n': 26, 'trace_an': 0}
id: 70754955
{'hecke_orbit_code': 184647584755753049, 'n': 27, 'trace_an': 26}
id: 70754956
{'hecke_orbit_code': 184647584755753049, 'n': 28, 'trace_an': 0}
id: 70754957
{'hecke_orbit_code': 184647584755753049, 'n': 29, 'trace_an': 1}
id: 70754958
{'hecke_orbit_code': 184647584755753049, 'n': 30, 'trace_an': -4}
id: 70754959
{'hecke_orbit_code': 184647584755753049, 'n': 31, 'trace_an': 4}
id: 70754960
{'hecke_orbit_code': 184647584755753049, 'n': 32, 'trace_an': -33}
id: 70754961
{'hecke_orbit_code': 184647584755753049, 'n': 33, 'trace_an': 19}
id: 70754962
{'hecke_orbit_code': 184647584755753049, 'n': 34, 'trace_an': -3}
id: 70754963
{'hecke_orbit_code': 184647584755753049, 'n': 35, 'trace_an': 0}
id: 70754964
{'hecke_orbit_code': 184647584755753049, 'n': 36, 'trace_an': -34}
id: 70754965
{'hecke_orbit_code': 184647584755753049, 'n': 37, 'trace_an': -10}
id: 70754966
{'hecke_orbit_code': 184647584755753049, 'n': 38, 'trace_an': 23}
id: 70754967
{'hecke_orbit_code': 184647584755753049, 'n': 39, 'trace_an': 0}
id: 70754968
{'hecke_orbit_code': 184647584755753049, 'n': 40, 'trace_an': 17}
id: 70754969
{'hecke_orbit_code': 184647584755753049, 'n': 41, 'trace_an': 22}
id: 70754970
{'hecke_orbit_code': 184647584755753049, 'n': 42, 'trace_an': 0}
id: 70754971
{'hecke_orbit_code': 184647584755753049, 'n': 43, 'trace_an': 3}
id: 70754972
{'hecke_orbit_code': 184647584755753049, 'n': 44, 'trace_an': -12}
id: 70754973
{'hecke_orbit_code': 184647584755753049, 'n': 45, 'trace_an': 11}
id: 70754974
{'hecke_orbit_code': 184647584755753049, 'n': 46, 'trace_an': 24}
id: 70754975
{'hecke_orbit_code': 184647584755753049, 'n': 47, 'trace_an': -2}
id: 70754976
{'hecke_orbit_code': 184647584755753049, 'n': 48, 'trace_an': -11}
id: 70754977
{'hecke_orbit_code': 184647584755753049, 'n': 49, 'trace_an': 0}
id: 70754978
{'hecke_orbit_code': 184647584755753049, 'n': 50, 'trace_an': 43}
id: 70754979
{'hecke_orbit_code': 184647584755753049, 'n': 51, 'trace_an': 7}
id: 70754980
{'hecke_orbit_code': 184647584755753049, 'n': 52, 'trace_an': 0}
id: 70754981
{'hecke_orbit_code': 184647584755753049, 'n': 53, 'trace_an': 2}
id: 70754982
{'hecke_orbit_code': 184647584755753049, 'n': 54, 'trace_an': -5}
id: 70754983
{'hecke_orbit_code': 184647584755753049, 'n': 55, 'trace_an': 3}
id: 70754984
{'hecke_orbit_code': 184647584755753049, 'n': 56, 'trace_an': 0}
id: 70754985
{'hecke_orbit_code': 184647584755753049, 'n': 57, 'trace_an': -17}
id: 70754986
{'hecke_orbit_code': 184647584755753049, 'n': 58, 'trace_an': -11}
id: 70754987
{'hecke_orbit_code': 184647584755753049, 'n': 59, 'trace_an': 8}
id: 70754988
{'hecke_orbit_code': 184647584755753049, 'n': 60, 'trace_an': -11}
id: 70754989
{'hecke_orbit_code': 184647584755753049, 'n': 61, 'trace_an': -8}
id: 70754990
{'hecke_orbit_code': 184647584755753049, 'n': 62, 'trace_an': 5}
id: 70754991
{'hecke_orbit_code': 184647584755753049, 'n': 63, 'trace_an': 0}
id: 70754992
{'hecke_orbit_code': 184647584755753049, 'n': 64, 'trace_an': 14}
id: 70754993
{'hecke_orbit_code': 184647584755753049, 'n': 65, 'trace_an': 0}
id: 70754994
{'hecke_orbit_code': 184647584755753049, 'n': 66, 'trace_an': -6}
id: 70754995
{'hecke_orbit_code': 184647584755753049, 'n': 67, 'trace_an': -6}
id: 70754996
{'hecke_orbit_code': 184647584755753049, 'n': 68, 'trace_an': 33}
id: 70754997
{'hecke_orbit_code': 184647584755753049, 'n': 69, 'trace_an': 18}
id: 70754998
{'hecke_orbit_code': 184647584755753049, 'n': 70, 'trace_an': 0}
id: 70754999
{'hecke_orbit_code': 184647584755753049, 'n': 71, 'trace_an': -14}
id: 70755000
{'hecke_orbit_code': 184647584755753049, 'n': 72, 'trace_an': 5}
id: 70755001
{'hecke_orbit_code': 184647584755753049, 'n': 73, 'trace_an': 8}
id: 70755002
{'hecke_orbit_code': 184647584755753049, 'n': 74, 'trace_an': 20}
id: 70755003
{'hecke_orbit_code': 184647584755753049, 'n': 75, 'trace_an': 7}
id: 70755004
{'hecke_orbit_code': 184647584755753049, 'n': 76, 'trace_an': -32}
id: 70755005
{'hecke_orbit_code': 184647584755753049, 'n': 77, 'trace_an': 0}
id: 70755006
{'hecke_orbit_code': 184647584755753049, 'n': 78, 'trace_an': 0}
id: 70755007
{'hecke_orbit_code': 184647584755753049, 'n': 79, 'trace_an': -26}
id: 70755008
{'hecke_orbit_code': 184647584755753049, 'n': 80, 'trace_an': -7}
id: 70755009
{'hecke_orbit_code': 184647584755753049, 'n': 81, 'trace_an': 24}
id: 70755010
{'hecke_orbit_code': 184647584755753049, 'n': 82, 'trace_an': 14}
id: 70755011
{'hecke_orbit_code': 184647584755753049, 'n': 83, 'trace_an': 0}
id: 70755012
{'hecke_orbit_code': 184647584755753049, 'n': 84, 'trace_an': 0}
id: 70755013
{'hecke_orbit_code': 184647584755753049, 'n': 85, 'trace_an': 5}
id: 70755014
{'hecke_orbit_code': 184647584755753049, 'n': 86, 'trace_an': 12}
id: 70755015
{'hecke_orbit_code': 184647584755753049, 'n': 87, 'trace_an': -13}
id: 70755016
{'hecke_orbit_code': 184647584755753049, 'n': 88, 'trace_an': 3}
id: 70755017
{'hecke_orbit_code': 184647584755753049, 'n': 89, 'trace_an': 1}
id: 70755018
{'hecke_orbit_code': 184647584755753049, 'n': 90, 'trace_an': -26}
id: 70755019
{'hecke_orbit_code': 184647584755753049, 'n': 91, 'trace_an': 0}
id: 70755020
{'hecke_orbit_code': 184647584755753049, 'n': 92, 'trace_an': 12}
id: 70755021
{'hecke_orbit_code': 184647584755753049, 'n': 93, 'trace_an': -7}
id: 70755022
{'hecke_orbit_code': 184647584755753049, 'n': 94, 'trace_an': -33}
id: 70755023
{'hecke_orbit_code': 184647584755753049, 'n': 95, 'trace_an': 21}
id: 70755024
{'hecke_orbit_code': 184647584755753049, 'n': 96, 'trace_an': 58}
id: 70755025
{'hecke_orbit_code': 184647584755753049, 'n': 97, 'trace_an': -3}
id: 70755026
{'hecke_orbit_code': 184647584755753049, 'n': 98, 'trace_an': 0}
id: 70755027
{'hecke_orbit_code': 184647584755753049, 'n': 99, 'trace_an': 23}
id: 70755028
{'hecke_orbit_code': 184647584755753049, 'n': 100, 'trace_an': 18}

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.