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mf_newforms • Show schema
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{'Nk2': 2760, 'analytic_conductor': 5.509677739468347, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 11, 'char_parity': 1, 'char_values': [690, 11, [461, 277, 511], [11, 11, 3]], 'cm_discs': [], 'conrey_index': 31, 'conrey_indexes': [31, 121, 151, 211, 271, 301, 331, 361, 541, 601], 'dim': 20, 'field_disc': 365539962290338781842763621161, 'field_disc_factorization': [[11, 18], [43, 2], [67, 2], [89, 2]], 'field_poly': [529, 5681, 32919, 60038, 38352, -8374, 92618, -102542, 106197, -87666, 60906, -35832, 17043, -6182, 1567, -52, -163, 66, -3, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [529, -4393, 9991, -38812, 252482, -184623, 540780, -61583, -30534, -66922, 61478, -17376, 11360, -9544, 3796, -705, 200, -94, 20, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008023922016946, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 23, 3, 1, 11, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '690.2.m.c', 'level': 690, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '690.2.m.c', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{16}q^{2}-\\beta _{14}q^{3}-\\beta _{12}q^{4}+\\beta _{11}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c11', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '690.2.m', 'trace_display': [-2, 2, -2, 2], 'trace_hash': 2207617336825084703, 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mf_hecke_cc • Show schema
Hide schema
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'char_orbit_index': 13, 'conrey_index': 121, 'dual_conrey_index': 211, 'dual_embedding_index': 2, 'dual_embedding_m': 8, 'embedding_index': 2, 'embedding_m': 4, 'embedding_root_imag': -1.548046567230482, 'embedding_root_real': 0.7069691788962884, 'hecke_orbit': 3, 'hecke_orbit_code': 9008023922016946, 'label': '690.2.m.c.121.2', 'level': 690, 'weight': 2}
-
mf_newspaces • Show schema
Hide schema
{'Nk2': 2760, 'analytic_conductor': 5.509677739468347, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 11, 'char_parity': 1, 'char_values': [690, 11, [461, 277, 511], [11, 11, 3]], 'conrey_index': 31, 'cusp_dim': 1360, 'dim': 160, 'eis_dim': 160, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 824667275954, 'hecke_orbit_dims': [10, 10, 20, 20, 20, 20, 30, 30], 'label': '690.2.m', 'level': 690, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 1520, 'mf_new_dim': 160, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 288, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [160, 0, 0, -16, 0, 0, 0, 0, -16, -4, -24, 0, -16, -8, 0, -16, 56, 0, 64, 0, 0, 80, -24, 0, -16, 64, 0, 0, 64, -4, 40, 0, -8, -24, 28, -16, -40, -32, 36, -4, 40, -24, 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mf_twists_cc • Show schema
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id: 41271937
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008023922016946, 'source_is_minimal': True, 'source_label': '690.2.m.c.121.2', 'source_level': 690, 'target_conrey_index': 121, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008023922016946, 'target_is_minimal': True, 'target_label': '690.2.m.c.121.2', 'target_level': 690, 'twist_class_label': '690.2.m.c.121.2', 'twist_class_level': 690, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41271938
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 121, 'source_dim': 20, 'source_embedding_index': 2, 'source_hecke_orbit_code': 9008023922016946, 'source_is_minimal': True, 'source_label': '690.2.m.c.121.2', 'source_level': 690, 'target_conrey_index': 211, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008023922016946, 'target_is_minimal': True, 'target_label': '690.2.m.c.211.2', 'target_level': 690, 'twist_class_label': '690.2.m.c.121.2', 'twist_class_level': 690, 'twisting_char_label': '23.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1212250
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 9008023922016946, 'p': 2}
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id: 1212251
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 9008023922016946, 'p': 3}
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id: 1212252
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 9008023922016946, 'p': 5}
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id: 1212253
{'charpoly_factorization': [[[529, -4393, 9991, -38812, 252482, -184623, 540780, -61583, -30534, -66922, 61478, -17376, 11360, -9544, 3796, -705, 200, -94, 20, -2, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 7}
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id: 1212254
{'charpoly_factorization': [[[4489, 143246, 2669703, 4823295, 24048199, 14541174, 8773829, 6951312, 3431573, -39052, -556975, -344777, -120497, 12877, 45629, 26456, 8813, 1909, 273, 24, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 11}
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id: 1212255
{'charpoly_factorization': [[[529, -2507, 90605, 629679, 34114015, 269541970, 832131170, 266880315, 52831342, -6251797, -4832850, -1350531, -17078, 47466, 26342, 5824, 1004, 197, 23, 4, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 13}
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id: 1212256
{'charpoly_factorization': [[[3500852224, 17748506624, 35072897024, 18489339520, 7030898496, -693780736, 2891896544, -233080632, 7453072, 72225224, -12774719, 1674682, 836880, -530489, 160429, -37521, 7284, -1085, 143, -16, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 17}
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id: 1212257
{'charpoly_factorization': [[[59274601, -191358645, 1560996959, -6313247503, 12381404616, -14196430077, 10983486601, -6289487143, 2980996272, -1246692924, 444571798, -123273945, 25051360, -3592912, 349443, -23941, 2600, -701, 147, -14, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 19}
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id: 1212258
{'charpoly_factorization': [[[41426511213649, 3602305322926, 8849141336753, 313243941124, 873559780989, -32529277522, 51421063591, -7220944162, 2117748345, -570296178, 82913127, -24795486, 4003305, -593486, 183751, -5054, 5901, 92, 113, 2, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 23}
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id: 1212259
{'charpoly_factorization': [[[59067463607296, 115945225781760, 78848647689216, -5722737582336, 5780549739328, -580200928896, 640523124144, -163875134832, 44576316392, -5089766112, 176888217, 114662135, -24116076, 1956362, 210812, -82539, 14963, -1816, 188, -18, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 29}
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id: 1212260
{'charpoly_factorization': [[[152659665224704, -35760921264640, 201218171677952, -112453503978112, 36574051014336, -11204669986400, 3334830274864, -860493193032, 189372033972, -37275450938, 7272197405, -1302121898, 189926803, -21062107, 1900547, -143550, 9196, -836, 176, -22, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 31}
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id: 1212261
{'charpoly_factorization': [[[42213400681, 210380770345, 6953231649958, 9559374314553, 8124675536335, 1044869341747, 266308447623, -236913492746, 19508179108, 2086576619, -3437704909, 286729852, 213538798, 17902800, 915568, 35508, 8175, 447, 132, 16, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 37}
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id: 1212262
{'charpoly_factorization': [[[3543563854121281, -5773566248326304, 4989209671292361, -1850158315434764, 287990193653240, 54176686416506, -29420843177273, 4412569265333, 656649054394, -198980154254, 37894463354, -4100990757, 363229223, -27305970, 2965971, -478847, 68148, -7239, 562, -29, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 41}
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id: 1212263
{'charpoly_factorization': [[[5143909873755136, 2246763636215296, -159056664355072, -234243039084032, 137685940183616, 149053597231968, 57968672172752, 14476666551688, 2976302382592, 546893064674, 86135488219, 11512863835, 1375395021, 144754236, 13832478, 1228513, 97977, 7304, 473, 22, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 43}
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id: 1212264
{'charpoly_factorization': [[[1159181, 866947, -12606490, -11161471, -3815776, -598784, -26374, 4944, 812, 47, 1], 2]], 'hecke_orbit_code': 9008023922016946, 'p': 47}
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id: 1212265
{'charpoly_factorization': [[[439932686936963089, -418541241131344244, 346383353398075067, -177192375328256193, 61482945148199679, -15142829863438684, 2742491494003593, -371976624379461, 38502742851028, -2982295068332, 128381106699, 9704601248, -2778406562, 265348879, -3473519, -2362448, 359181, -30237, 1667, -58, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 53}
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id: 1212266
{'charpoly_factorization': [[[1050454057882681, -2213284632706247, 3835395702786164, -4187182058952980, 2880347841521556, -1280822387126656, 385215942992992, -78577042025406, 10996914196719, -1117091281547, 118082584366, -17053303761, 2385758870, -292074091, 33197121, -3389617, 302950, -21614, 1155, -45, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 59}
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id: 1212267
{'charpoly_factorization': [[[554879105680384, -1492269013927424, 2329166224538624, -1300707115492480, 630167668691200, -125019463964256, 31494715777088, -4628552041480, 774481276884, -26080076120, 4394103053, -105908257, -245614334, 10765241, 2942278, -145185, -1873, 675, -51, -1, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 61}
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id: 1212268
{'charpoly_factorization': [[[1535935108056064, 4604162755120640, 27250634019937024, -22566789703443840, 5651505832843072, -388233035563136, 27049306122592, -16386349658848, 2775037864372, -364382614940, 65665581729, -8353601898, 950580566, -103826299, 12555498, -1052430, 88691, -6085, 456, -16, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 67}
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id: 1212269
{'charpoly_factorization': [[[59348755456, -4728769759232, 133373238553344, -26158750656000, 37013566222976, -7730437518464, 4650616282192, -2404506874568, 895757550300, -145859817198, 15325882593, 2131062496, -611975417, 84275967, 909764, -1776312, 300761, -28285, 1664, -59, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 71}
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id: 1212270
{'charpoly_factorization': [[[20837416757330944, 27933834685091840, 15069183317576704, 5357616140595968, 1959215714500544, 564425107938560, 124008200100864, 27167314780912, 5085911984268, 645232158354, 77250557119, 9863878641, 1129873385, 103366344, 11348288, 489082, 46000, 3577, 171, -3, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 73}
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id: 1212271
{'charpoly_factorization': [[[23911777870160896, -773923821410304, 39340312019968, -334787984129152, 139007055975424, 43224735083520, 9973710286032, 36281065112, -105085303904, -6345635140, 4670596061, 281447841, -98646397, -13685393, 1715407, 484494, 61536, 6418, 449, 20, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 79}
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id: 1212272
{'charpoly_factorization': [[[10300915926016, -15432784441856, 9817891176704, -256051262720, 845242467968, 1178919324960, 930982028464, 383148687328, 83388978924, 8215295640, -134634523, -141051547, -3474290, -559713, 444909, -18065, 6167, -1210, 123, -13, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 83}
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id: 1212273
{'charpoly_factorization': [[[106612663193713043929, 15770657295829092059, -9703469336441968810, -3458255255263431198, -222038010082364543, 163302476048680739, 71598572030931207, 17159844544903616, 2994042239733987, 413898560972272, 47337962318327, 4591475233591, 384287495435, 28023550053, 1784378432, 98232848, 4569545, 172441, 4959, 97, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 89}
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id: 1212274
{'charpoly_factorization': [[[61671996335104, -82849497095680, 121664127838976, -50636687927936, 26074300000960, -6877018673440, 1582273196080, -388871077320, 69374087468, 3570052458, -3341172253, -50453033, 113929214, 7819207, -1304305, -120491, 17925, 2882, 227, 17, 1], 1]], 'hecke_orbit_code': 9008023922016946, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 13, 'hecke_orbit': 3, 'label': '690.2.m.c', 'level': 690, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 122172000
{'hecke_orbit_code': 9008023922016946, 'n': 1, 'trace_an': 20}
-
id: 122172001
{'hecke_orbit_code': 9008023922016946, 'n': 2, 'trace_an': -2}
-
id: 122172002
{'hecke_orbit_code': 9008023922016946, 'n': 3, 'trace_an': 2}
-
id: 122172003
{'hecke_orbit_code': 9008023922016946, 'n': 4, 'trace_an': -2}
-
id: 122172004
{'hecke_orbit_code': 9008023922016946, 'n': 5, 'trace_an': -2}
-
id: 122172005
{'hecke_orbit_code': 9008023922016946, 'n': 6, 'trace_an': 2}
-
id: 122172006
{'hecke_orbit_code': 9008023922016946, 'n': 7, 'trace_an': 2}
-
id: 122172007
{'hecke_orbit_code': 9008023922016946, 'n': 8, 'trace_an': -2}
-
id: 122172008
{'hecke_orbit_code': 9008023922016946, 'n': 9, 'trace_an': -2}
-
id: 122172009
{'hecke_orbit_code': 9008023922016946, 'n': 10, 'trace_an': -2}
-
id: 122172010
{'hecke_orbit_code': 9008023922016946, 'n': 11, 'trace_an': -24}
-
id: 122172011
{'hecke_orbit_code': 9008023922016946, 'n': 12, 'trace_an': 2}
-
id: 122172012
{'hecke_orbit_code': 9008023922016946, 'n': 13, 'trace_an': -4}
-
id: 122172013
{'hecke_orbit_code': 9008023922016946, 'n': 14, 'trace_an': 2}
-
id: 122172014
{'hecke_orbit_code': 9008023922016946, 'n': 15, 'trace_an': 2}
-
id: 122172015
{'hecke_orbit_code': 9008023922016946, 'n': 16, 'trace_an': -2}
-
id: 122172016
{'hecke_orbit_code': 9008023922016946, 'n': 17, 'trace_an': 16}
-
id: 122172017
{'hecke_orbit_code': 9008023922016946, 'n': 18, 'trace_an': -2}
-
id: 122172018
{'hecke_orbit_code': 9008023922016946, 'n': 19, 'trace_an': 14}
-
id: 122172019
{'hecke_orbit_code': 9008023922016946, 'n': 20, 'trace_an': -2}
-
id: 122172020
{'hecke_orbit_code': 9008023922016946, 'n': 21, 'trace_an': -13}
-
id: 122172021
{'hecke_orbit_code': 9008023922016946, 'n': 22, 'trace_an': -2}
-
id: 122172022
{'hecke_orbit_code': 9008023922016946, 'n': 23, 'trace_an': -2}
-
id: 122172023
{'hecke_orbit_code': 9008023922016946, 'n': 24, 'trace_an': -20}
-
id: 122172024
{'hecke_orbit_code': 9008023922016946, 'n': 25, 'trace_an': -2}
-
id: 122172025
{'hecke_orbit_code': 9008023922016946, 'n': 26, 'trace_an': 7}
-
id: 122172026
{'hecke_orbit_code': 9008023922016946, 'n': 27, 'trace_an': 2}
-
id: 122172027
{'hecke_orbit_code': 9008023922016946, 'n': 28, 'trace_an': 2}
-
id: 122172028
{'hecke_orbit_code': 9008023922016946, 'n': 29, 'trace_an': 18}
-
id: 122172029
{'hecke_orbit_code': 9008023922016946, 'n': 30, 'trace_an': 2}
-
id: 122172030
{'hecke_orbit_code': 9008023922016946, 'n': 31, 'trace_an': 22}
-
id: 122172031
{'hecke_orbit_code': 9008023922016946, 'n': 32, 'trace_an': -2}
-
id: 122172032
{'hecke_orbit_code': 9008023922016946, 'n': 33, 'trace_an': 2}
-
id: 122172033
{'hecke_orbit_code': 9008023922016946, 'n': 34, 'trace_an': -17}
-
id: 122172034
{'hecke_orbit_code': 9008023922016946, 'n': 35, 'trace_an': 13}
-
id: 122172035
{'hecke_orbit_code': 9008023922016946, 'n': 36, 'trace_an': -2}
-
id: 122172036
{'hecke_orbit_code': 9008023922016946, 'n': 37, 'trace_an': -16}
-
id: 122172037
{'hecke_orbit_code': 9008023922016946, 'n': 38, 'trace_an': 3}
-
id: 122172038
{'hecke_orbit_code': 9008023922016946, 'n': 39, 'trace_an': 4}
-
id: 122172039
{'hecke_orbit_code': 9008023922016946, 'n': 40, 'trace_an': -2}
-
id: 122172040
{'hecke_orbit_code': 9008023922016946, 'n': 41, 'trace_an': 29}
-
id: 122172041
{'hecke_orbit_code': 9008023922016946, 'n': 42, 'trace_an': 9}
-
id: 122172042
{'hecke_orbit_code': 9008023922016946, 'n': 43, 'trace_an': -22}
-
id: 122172043
{'hecke_orbit_code': 9008023922016946, 'n': 44, 'trace_an': -24}
-
id: 122172044
{'hecke_orbit_code': 9008023922016946, 'n': 45, 'trace_an': 20}
-
id: 122172045
{'hecke_orbit_code': 9008023922016946, 'n': 46, 'trace_an': -2}
-
id: 122172046
{'hecke_orbit_code': 9008023922016946, 'n': 47, 'trace_an': -94}
-
id: 122172047
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