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mf_newforms • Show schema
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 12, 'char_parity': 1, 'char_values': [1050, 12, [701, 127, 451], [12, 3, 2]], 'cm_discs': [], 'conrey_index': 157, 'conrey_indexes': [157, 493, 607, 943], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [1, 1, 1]], [13, [28561, 0, 0, 0, 1106, 0, 0, 0, 1]], [17, [256, 0, 1536, 0, 3056, 0, -96, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1924178904090, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 2, 35, 11, 1, 12, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1050.2.bc.a', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '1050.2.bc.a', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 11, 'qexp_display': 'q-\\zeta_{24}^{7}q^{2}+(-\\zeta_{24}^{3}+\\zeta_{24}^{7})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.2.bc', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1276810235648333333, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.784', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.324', 'prec': 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mf_hecke_cc • Show schema
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'dual_embedding_index': 1, 'dual_embedding_m': 7, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': -0.25881904510252074, 'embedding_root_real': -0.9659258262890683, 'hecke_orbit': 1, 'hecke_orbit_code': 1924178904090, 'label': '1050.2.bc.a.157.1', 'level': 1050, 'weight': 2}
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'char_conductor': 35, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 29, 'char_orbit_label': 'bc', 'char_order': 12, 'char_parity': 1, 'char_values': [1050, 12, [701, 127, 451], [12, 3, 2]], 'conrey_index': 157, 'cusp_dim': 864, 'dim': 96, 'eis_dim': 192, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17], 'hecke_orbit_code': 1924178904090, 'hecke_orbit_dims': [8, 8, 8, 8, 16, 16, 16, 16], 'label': '1050.2.bc', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1056, 'mf_new_dim': 96, 'num_forms': 8, 'prim_orbit_index': 11, 'relative_dim': 24, 'sturm_bound': 480, 'trace_bound': 19, 'trace_display': [0, 0, 0, 12], 'traces': [96, 0, 0, 0, 0, 0, 12, 0, 0, 0, -16, 0, 0, 0, 0, 48, 0, 0, 0, 0, 8, -8, 8, 0, 0, 48, 0, 12, 0, 0, 96, 0, -12, 0, 0, -96, 16, 48, 0, 0, 0, -4, 48, 0, 0, 16, 24, 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id: 21679029
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1924178904090, 'source_is_minimal': True, 'source_label': '1050.2.bc.a.157.1', 'source_level': 1050, 'target_conrey_index': 157, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1924178904090, 'target_is_minimal': True, 'target_label': '1050.2.bc.a.157.1', 'target_level': 1050, 'twist_class_label': '1050.2.bc.a.157.1', 'twist_class_level': 1050, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 21679030
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1924178904090, 'source_is_minimal': True, 'source_label': '1050.2.bc.a.157.1', 'source_level': 1050, 'target_conrey_index': 493, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512723061015578, 'target_is_minimal': True, 'target_label': '1050.2.bc.d.493.1', 'target_level': 1050, 'twist_class_label': '1050.2.bc.a.157.1', 'twist_class_level': 1050, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 21679031
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1924178904090, 'source_is_minimal': True, 'source_label': '1050.2.bc.a.157.1', 'source_level': 1050, 'target_conrey_index': 493, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512723061015578, 'target_is_minimal': True, 'target_label': '1050.2.bc.d.493.2', 'target_level': 1050, 'twist_class_label': '1050.2.bc.a.157.1', 'twist_class_level': 1050, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 21679032
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1924178904090, 'source_is_minimal': True, 'source_label': '1050.2.bc.a.157.1', 'source_level': 1050, 'target_conrey_index': 157, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1924178904090, 'target_is_minimal': True, 'target_label': '1050.2.bc.a.157.2', 'target_level': 1050, 'twist_class_label': '1050.2.bc.a.157.1', 'twist_class_level': 1050, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 21679033
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1924178904090, 'source_is_minimal': True, 'source_label': '1050.2.bc.a.157.1', 'source_level': 1050, 'target_conrey_index': 607, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13512723061015578, 'target_is_minimal': True, 'target_label': '1050.2.bc.d.607.2', 'target_level': 1050, 'twist_class_label': '1050.2.bc.a.157.1', 'twist_class_level': 1050, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 21679034
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1924178904090, 'source_is_minimal': True, 'source_label': '1050.2.bc.a.157.1', 'source_level': 1050, 'target_conrey_index': 943, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1924178904090, 'target_is_minimal': True, 'target_label': '1050.2.bc.a.943.2', 'target_level': 1050, 'twist_class_label': '1050.2.bc.a.157.1', 'twist_class_level': 1050, 'twisting_char_label': '35.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 21679035
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 157, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1924178904090, 'source_is_minimal': True, 'source_label': '1050.2.bc.a.157.1', 'source_level': 1050, 'target_conrey_index': 607, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13512723061015578, 'target_is_minimal': True, 'target_label': '1050.2.bc.d.607.1', 'target_level': 1050, 'twist_class_label': '1050.2.bc.a.157.1', 'twist_class_level': 1050, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 21679036
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 157, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 1924178904090, 'source_is_minimal': True, 'source_label': '1050.2.bc.a.157.1', 'source_level': 1050, 'target_conrey_index': 943, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1924178904090, 'target_is_minimal': True, 'target_label': '1050.2.bc.a.943.1', 'target_level': 1050, 'twist_class_label': '1050.2.bc.a.157.1', 'twist_class_level': 1050, 'twisting_char_label': '35.33', 'twisting_conrey_index': 33, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1633325
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 2}
-
id: 1633326
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 3}
-
id: 1633327
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 1924178904090, 'p': 5}
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id: 1633328
{'charpoly_factorization': [[[2401, 0, 0, 0, -94, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 7}
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id: 1633329
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 1924178904090, 'p': 11}
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id: 1633330
{'charpoly_factorization': [[[28561, 0, 0, 0, 1106, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 13}
-
id: 1633331
{'charpoly_factorization': [[[256, 0, 1536, 0, 3056, 0, -96, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 17}
-
id: 1633332
{'charpoly_factorization': [[[169, 104, 51, 8, 1], 2]], 'hecke_orbit_code': 1924178904090, 'p': 19}
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id: 1633333
{'charpoly_factorization': [[[4879681, 0, 106032, 0, -1441, 0, -48, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 23}
-
id: 1633334
{'charpoly_factorization': [[[48, 0, 1], 4]], 'hecke_orbit_code': 1924178904090, 'p': 29}
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id: 1633335
{'charpoly_factorization': [[[16, 48, 44, -12, 1], 2]], 'hecke_orbit_code': 1924178904090, 'p': 31}
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id: 1633336
{'charpoly_factorization': [[[2313441, 0, -219024, 0, 5391, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 37}
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id: 1633337
{'charpoly_factorization': [[[169, 0, 38, 0, 1], 2]], 'hecke_orbit_code': 1924178904090, 'p': 41}
-
id: 1633338
{'charpoly_factorization': [[[3748096, 0, 0, 0, 6944, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 43}
-
id: 1633339
{'charpoly_factorization': [[[14641, 0, 17424, 0, 6791, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 47}
-
id: 1633340
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 53}
-
id: 1633341
{'charpoly_factorization': [[[2704, 832, 204, 16, 1], 2]], 'hecke_orbit_code': 1924178904090, 'p': 59}
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id: 1633342
{'charpoly_factorization': [[[2704, -624, -4, 12, 1], 2]], 'hecke_orbit_code': 1924178904090, 'p': 61}
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id: 1633343
{'charpoly_factorization': [[[256, 0, 0, 0, -16, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 67}
-
id: 1633344
{'charpoly_factorization': [[[-44, 4, 1], 4]], 'hecke_orbit_code': 1924178904090, 'p': 71}
-
id: 1633345
{'charpoly_factorization': [[[65536, 0, 0, 0, -256, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 73}
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id: 1633346
{'charpoly_factorization': [[[2704, -1248, 140, 24, 1], 2]], 'hecke_orbit_code': 1924178904090, 'p': 79}
-
id: 1633347
{'charpoly_factorization': [[[11664, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 1924178904090, 'p': 83}
-
id: 1633348
{'charpoly_factorization': [[[2304, 0, 48, 0, 1], 2]], 'hecke_orbit_code': 1924178904090, 'p': 89}
-
id: 1633349
{'charpoly_factorization': [[[1048576, 0, 0, 0, 14336, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 1924178904090, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 29, 'hecke_orbit': 1, 'label': '1050.2.bc.a', 'level': 1050, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 53764000
{'hecke_orbit_code': 1924178904090, 'n': 1, 'trace_an': 8}
-
id: 53764001
{'hecke_orbit_code': 1924178904090, 'n': 2, 'trace_an': 0}
-
id: 53764002
{'hecke_orbit_code': 1924178904090, 'n': 3, 'trace_an': 0}
-
id: 53764003
{'hecke_orbit_code': 1924178904090, 'n': 4, 'trace_an': 0}
-
id: 53764004
{'hecke_orbit_code': 1924178904090, 'n': 5, 'trace_an': 0}
-
id: 53764005
{'hecke_orbit_code': 1924178904090, 'n': 6, 'trace_an': 0}
-
id: 53764006
{'hecke_orbit_code': 1924178904090, 'n': 7, 'trace_an': 0}
-
id: 53764007
{'hecke_orbit_code': 1924178904090, 'n': 8, 'trace_an': 0}
-
id: 53764008
{'hecke_orbit_code': 1924178904090, 'n': 9, 'trace_an': 0}
-
id: 53764009
{'hecke_orbit_code': 1924178904090, 'n': 10, 'trace_an': 0}
-
id: 53764010
{'hecke_orbit_code': 1924178904090, 'n': 11, 'trace_an': -4}
-
id: 53764011
{'hecke_orbit_code': 1924178904090, 'n': 12, 'trace_an': 0}
-
id: 53764012
{'hecke_orbit_code': 1924178904090, 'n': 13, 'trace_an': 0}
-
id: 53764013
{'hecke_orbit_code': 1924178904090, 'n': 14, 'trace_an': 0}
-
id: 53764014
{'hecke_orbit_code': 1924178904090, 'n': 15, 'trace_an': 0}
-
id: 53764015
{'hecke_orbit_code': 1924178904090, 'n': 16, 'trace_an': 4}
-
id: 53764016
{'hecke_orbit_code': 1924178904090, 'n': 17, 'trace_an': 0}
-
id: 53764017
{'hecke_orbit_code': 1924178904090, 'n': 18, 'trace_an': 0}
-
id: 53764018
{'hecke_orbit_code': 1924178904090, 'n': 19, 'trace_an': -16}
-
id: 53764019
{'hecke_orbit_code': 1924178904090, 'n': 20, 'trace_an': 0}
-
id: 53764020
{'hecke_orbit_code': 1924178904090, 'n': 21, 'trace_an': 0}
-
id: 53764021
{'hecke_orbit_code': 1924178904090, 'n': 22, 'trace_an': 0}
-
id: 53764022
{'hecke_orbit_code': 1924178904090, 'n': 23, 'trace_an': 0}
-
id: 53764023
{'hecke_orbit_code': 1924178904090, 'n': 24, 'trace_an': 4}
-
id: 53764024
{'hecke_orbit_code': 1924178904090, 'n': 25, 'trace_an': 0}
-
id: 53764025
{'hecke_orbit_code': 1924178904090, 'n': 26, 'trace_an': 12}
-
id: 53764026
{'hecke_orbit_code': 1924178904090, 'n': 27, 'trace_an': 0}
-
id: 53764027
{'hecke_orbit_code': 1924178904090, 'n': 28, 'trace_an': 0}
-
id: 53764028
{'hecke_orbit_code': 1924178904090, 'n': 29, 'trace_an': 0}
-
id: 53764029
{'hecke_orbit_code': 1924178904090, 'n': 30, 'trace_an': 0}
-
id: 53764030
{'hecke_orbit_code': 1924178904090, 'n': 31, 'trace_an': 24}
-
id: 53764031
{'hecke_orbit_code': 1924178904090, 'n': 32, 'trace_an': 0}
-
id: 53764032
{'hecke_orbit_code': 1924178904090, 'n': 33, 'trace_an': 0}
-
id: 53764033
{'hecke_orbit_code': 1924178904090, 'n': 34, 'trace_an': 32}
-
id: 53764034
{'hecke_orbit_code': 1924178904090, 'n': 35, 'trace_an': 0}
-
id: 53764035
{'hecke_orbit_code': 1924178904090, 'n': 36, 'trace_an': -8}
-
id: 53764036
{'hecke_orbit_code': 1924178904090, 'n': 37, 'trace_an': 0}
-
id: 53764037
{'hecke_orbit_code': 1924178904090, 'n': 38, 'trace_an': 0}
-
id: 53764038
{'hecke_orbit_code': 1924178904090, 'n': 39, 'trace_an': -12}
-
id: 53764039
{'hecke_orbit_code': 1924178904090, 'n': 40, 'trace_an': 0}
-
id: 53764040
{'hecke_orbit_code': 1924178904090, 'n': 41, 'trace_an': 0}
-
id: 53764041
{'hecke_orbit_code': 1924178904090, 'n': 42, 'trace_an': 0}
-
id: 53764042
{'hecke_orbit_code': 1924178904090, 'n': 43, 'trace_an': 0}
-
id: 53764043
{'hecke_orbit_code': 1924178904090, 'n': 44, 'trace_an': 0}
-
id: 53764044
{'hecke_orbit_code': 1924178904090, 'n': 45, 'trace_an': 0}
-
id: 53764045
{'hecke_orbit_code': 1924178904090, 'n': 46, 'trace_an': -4}
-
id: 53764046
{'hecke_orbit_code': 1924178904090, 'n': 47, 'trace_an': 0}
-
id: 53764047
{'hecke_orbit_code': 1924178904090, 'n': 48, 'trace_an': 0}
-
id: 53764048
{'hecke_orbit_code': 1924178904090, 'n': 49, 'trace_an': 0}
-
id: 53764049
{'hecke_orbit_code': 1924178904090, 'n': 50, 'trace_an': 0}
-
id: 53764050
{'hecke_orbit_code': 1924178904090, 'n': 51, 'trace_an': -16}
-
id: 53764051
{'hecke_orbit_code': 1924178904090, 'n': 52, 'trace_an': 0}
-
id: 53764052
{'hecke_orbit_code': 1924178904090, 'n': 53, 'trace_an': 0}
-
id: 53764053
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