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{'Nk2': 23200, 'analytic_conductor': 85.55276950832389, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [29, -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': [1450, 1, [1277, 901], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 19816, 'field_disc_factorization': [[2, 3], [2477, 1]], 'field_poly': [-54, -42, -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': [[3, [-96, -41, 2, 1]], [7, [-5376, -496, 24, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197458703786, 'hecke_ring_generator_nbound': 7, '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': '1450.4.a.h', 'level': 1450, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 29], 'level_radical': 290, 'minimal_twist': '58.4.a.d', 'nf_label': '3.3.19816.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{2}+(-1+\\beta _{1})q^{3}+4q^{4}+(2-2\\beta _{1}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1450.4.a', 'trace_display': [-6, -2, 0, -24], 'trace_hash': 754468195885071758, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.895', 'prec': 17}, 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-0.1190703761142405, -0.21446541426098742, -0.4036164680150655, -0.14585325901781113, -0.19439752309492292, -0.258276229321625, -0.17578455170102159, -0.3108729549110416, -0.18976313642462853, -0.0661004314417865, -0.13764789620330906, -0.17542226728190743, -0.16123021588731043], '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': -5.132907485443386, 'hecke_orbit': 8, 'hecke_orbit_code': 31525197458703786, 'label': '1450.4.a.h.1.1', 'level': 1450, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [15, 15, 19, 17, 15, 18, 19, 15], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [71, 65, 62, 67, 70, 64, 64, 68], 'Nk2': 23200, 'analytic_conductor': 85.55276950832389, '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': [1450, 1, [1277, 901], [1, 1]], 'conrey_index': 1, 'cusp_dim': 664, 'dim': 133, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 67110314, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 5, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9, 9, 12, 12], 'label': '1450.4.a', 'level': 1450, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 29], 'level_radical': 290, 'mf_dim': 688, 'mf_new_dim': 133, 'num_forms': 26, 'plus_dim': 69, 'prim_orbit_index': 1, 'relative_dim': 133, 'sturm_bound': 900, 'trace_bound': 7, 'trace_display': [2, -16, 0, 4], 'traces': [133, 2, -16, 532, 0, -20, 4, 8, 1271, 0, -4, -64, -84, -48, 0, 2128, 126, 58, 212, 0, 64, -108, 204, -80, 0, -84, -760, 16, -87, 0, -624, 32, -714, -180, 0, 5084, 238, -88, -988, 0, -1038, -808, -1072, -16, 0, 680, 744, -256, 3389, 0, 1216, -336, -1000, 724, 0, -192, -144, 58, 1380, 0, -1410, 244, 600, 8512, 0, -1352, -2084, 504, 3964, 0, 2224, 232, 658, 844, 0, 848, 3368, 2644, 56, 0, 15341, -468, -880, 256, 0, -1812, 0, -432, 1674, 0, -2580, 816, 658, -2028, 0, -320, 3490, -1678, -4152, 0, -5206, 1096, 1192, -336, 0, -1524, 2560, -3040, -4800, 0, 32, 64, 3454, -1240, 0, -348, -802, -1760, 14992, 0, 29415, 4500, 3388, -2496, 0, 288, 596, 128, -162, 0, 40, -2856, 5440, 352, 0, -720, 3426, -2088, 2024, 0, -3414, 4488, 7020, 20336, 0, 1780, 3088, 952, 3572, 0, -10132, -352, 11002, 5816, 0, -3952, 8726, 1964, -19244, 0, -8160, 5474, 7712, -4152, 0, 6712, -12232, 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mf_twists_cc • Show schema
Hide schema
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id: 46175864
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197458703786, 'source_is_minimal': False, 'source_label': '1450.4.a.h.1.1', 'source_level': 1450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458703786, 'target_is_minimal': False, 'target_label': '1450.4.a.h.1.1', 'target_level': 1450, 'twist_class_label': '58.4.a.d.1.3', 'twist_class_level': 58, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 46175865
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197458703786, 'source_is_minimal': False, 'source_label': '1450.4.a.h.1.1', 'source_level': 1450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510798949220410, 'target_is_minimal': True, 'target_label': '58.4.a.d.1.3', 'target_level': 58, 'twist_class_label': '58.4.a.d.1.3', 'twist_class_level': 58, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 46175866
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197458703786, 'source_is_minimal': False, 'source_label': '1450.4.a.h.1.1', 'source_level': 1450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996340814346, 'target_is_minimal': False, 'target_label': '522.4.a.k.1.2', 'target_level': 522, 'twist_class_label': '58.4.a.d.1.3', 'twist_class_level': 58, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 46175867
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197458703786, 'source_is_minimal': False, 'source_label': '1450.4.a.h.1.1', 'source_level': 1450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797086073296, 'target_is_minimal': False, 'target_label': '464.4.a.i.1.1', 'target_level': 464, 'twist_class_label': '58.4.a.d.1.3', 'twist_class_level': 58, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 46175868
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197458703786, 'source_is_minimal': False, 'source_label': '1450.4.a.h.1.1', 'source_level': 1450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793359779648, 'target_is_minimal': False, 'target_label': '1856.4.a.s.1.3', 'target_level': 1856, 'twist_class_label': '58.4.a.d.1.3', 'twist_class_level': 58, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 46175869
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197458703786, 'source_is_minimal': False, 'source_label': '1450.4.a.h.1.1', 'source_level': 1450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193732409152, 'target_is_minimal': False, 'target_label': '1856.4.a.r.1.1', 'target_level': 1856, 'twist_class_label': '58.4.a.d.1.3', 'twist_class_level': 58, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 46175870
{'conductor': 145, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525197458703786, 'source_is_minimal': False, 'source_label': '1450.4.a.h.1.1', 'source_level': 1450, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949222034, 'target_is_minimal': False, 'target_label': '1682.4.a.d.1.1', 'target_level': 1682, 'twist_class_label': '58.4.a.d.1.3', 'twist_class_level': 58, 'twisting_char_label': '145.144', 'twisting_conrey_index': 144, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1960500
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 31525197458703786, 'p': 2}
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id: 1960501
{'charpoly_factorization': [[[-96, -41, 2, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 3}
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id: 1960502
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 31525197458703786, 'p': 5}
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id: 1960503
{'charpoly_factorization': [[[-5376, -496, 24, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 7}
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id: 1960504
{'charpoly_factorization': [[[2424, -233, -10, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 11}
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id: 1960505
{'charpoly_factorization': [[[-131706, -5619, -4, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 13}
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id: 1960506
{'charpoly_factorization': [[[679368, -10660, -66, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 17}
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id: 1960507
{'charpoly_factorization': [[[-664448, -124, 164, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 19}
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id: 1960508
{'charpoly_factorization': [[[677376, 4284, -204, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 23}
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id: 1960509
{'charpoly_factorization': [[[-29, 1], 3]], 'hecke_orbit_code': 31525197458703786, 'p': 29}
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id: 1960510
{'charpoly_factorization': [[[-4766172, -48089, 86, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 31}
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id: 1960511
{'charpoly_factorization': [[[7684896, -79456, -42, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 37}
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id: 1960512
{'charpoly_factorization': [[[-5982048, 102432, -562, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 41}
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id: 1960513
{'charpoly_factorization': [[[-196488, -10369, 18, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 43}
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id: 1960514
{'charpoly_factorization': [[[3425124, 98015, 654, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 47}
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id: 1960515
{'charpoly_factorization': [[[-252120546, -350571, 712, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 53}
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id: 1960516
{'charpoly_factorization': [[[57362928, -311444, -184, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 59}
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id: 1960517
{'charpoly_factorization': [[[-5254424, -388372, -322, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 61}
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id: 1960518
{'charpoly_factorization': [[[-47608192, -327840, -228, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 67}
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id: 1960519
{'charpoly_factorization': [[[-672, -164, 52, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 71}
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id: 1960520
{'charpoly_factorization': [[[9410208, 6112, -494, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 73}
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id: 1960521
{'charpoly_factorization': [[[285187172, 1400543, 2110, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 79}
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id: 1960522
{'charpoly_factorization': [[[437606064, -1038996, -288, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 83}
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id: 1960523
{'charpoly_factorization': [[[598011552, -664800, -914, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 89}
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id: 1960524
{'charpoly_factorization': [[[17006112, -1500768, 218, 1], 1]], 'hecke_orbit_code': 31525197458703786, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '1450.4.a.h', 'level': 1450, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 49304293
{'hecke_orbit_code': 31525197458703786, 'n': 1, 'trace_an': 3}
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id: 49304294
{'hecke_orbit_code': 31525197458703786, 'n': 2, 'trace_an': -6}
-
id: 49304295
{'hecke_orbit_code': 31525197458703786, 'n': 3, 'trace_an': -2}
-
id: 49304296
{'hecke_orbit_code': 31525197458703786, 'n': 4, 'trace_an': 12}
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id: 49304297
{'hecke_orbit_code': 31525197458703786, 'n': 5, 'trace_an': 0}
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id: 49304298
{'hecke_orbit_code': 31525197458703786, 'n': 6, 'trace_an': 4}
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id: 49304299
{'hecke_orbit_code': 31525197458703786, 'n': 7, 'trace_an': -24}
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id: 49304300
{'hecke_orbit_code': 31525197458703786, 'n': 8, 'trace_an': -24}
-
id: 49304301
{'hecke_orbit_code': 31525197458703786, 'n': 9, 'trace_an': 5}
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id: 49304302
{'hecke_orbit_code': 31525197458703786, 'n': 10, 'trace_an': 0}
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id: 49304303
{'hecke_orbit_code': 31525197458703786, 'n': 11, 'trace_an': 10}
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id: 49304304
{'hecke_orbit_code': 31525197458703786, 'n': 12, 'trace_an': -8}
-
id: 49304305
{'hecke_orbit_code': 31525197458703786, 'n': 13, 'trace_an': 4}
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id: 49304306
{'hecke_orbit_code': 31525197458703786, 'n': 14, 'trace_an': 48}
-
id: 49304307
{'hecke_orbit_code': 31525197458703786, 'n': 15, 'trace_an': 0}
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id: 49304308
{'hecke_orbit_code': 31525197458703786, 'n': 16, 'trace_an': 48}
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id: 49304309
{'hecke_orbit_code': 31525197458703786, 'n': 17, 'trace_an': 66}
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id: 49304310
{'hecke_orbit_code': 31525197458703786, 'n': 18, 'trace_an': -10}
-
id: 49304311
{'hecke_orbit_code': 31525197458703786, 'n': 19, 'trace_an': -164}
-
id: 49304312
{'hecke_orbit_code': 31525197458703786, 'n': 20, 'trace_an': 0}
-
id: 49304313
{'hecke_orbit_code': 31525197458703786, 'n': 21, 'trace_an': -88}
-
id: 49304314
{'hecke_orbit_code': 31525197458703786, 'n': 22, 'trace_an': -20}
-
id: 49304315
{'hecke_orbit_code': 31525197458703786, 'n': 23, 'trace_an': 204}
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id: 49304316
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