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{'Nk2': 26912, 'analytic_conductor': 53.72335047991744, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -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': [6728, 1, [5047, 3365, 5889], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -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': [[3, [-8, -5, 2, 1]], [5, [10, -3, -4, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679895624, 'hecke_ring_generator_nbound': 3, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6728.2.a.j', 'level': 6728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'minimal_twist': '232.2.a.d', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{3}+(1-\\beta _{2})q^{5}+(2+\\beta _{2})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6728.2.a', 'trace_display': [0, -2, 4, 0], 'trace_hash': 1705920988577900871, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.831', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.811', 'prec': 17}, {'__RealLiteral__': 0, 'data': '20.117', 'prec': 20}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [29, -1]], 49, 5], [[[2, 1], [29, -1]], 56, 7], [[[2, -1], [29, 1]], 53, 11], [[[2, 1], [29, 1]], 45, 9]], 'ALdims': [45, 56, 53, 49], 'Nk2': 26912, 'analytic_conductor': 53.72335047991744, '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': [6728, 1, [5047, 3365, 5889], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 811, 'dim': 203, 'eis_dim': 119, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 33561160, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 12, 12, 12, 12, 16, 16, 24, 24], 'label': '6728.2.a', 'level': 6728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'mf_dim': 930, 'mf_new_dim': 203, 'num_forms': 32, 'plus_dim': 94, 'prim_orbit_index': 1, 'relative_dim': 203, 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mf_twists_cc • Show schema
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id: 46833310
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679895624, 'source_is_minimal': False, 'source_label': '6728.2.a.j.1.3', 'source_level': 6728, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679895624, 'target_is_minimal': False, 'target_label': '6728.2.a.j.1.3', 'target_level': 6728, 'twist_class_label': '232.2.a.d.1.1', 'twist_class_level': 232, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46833311
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679895624, 'source_is_minimal': False, 'source_label': '6728.2.a.j.1.3', 'source_level': 6728, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666152, 'target_is_minimal': True, 'target_label': '232.2.a.d.1.1', 'target_level': 232, 'twist_class_label': '232.2.a.d.1.1', 'twist_class_level': 232, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 46833312
{'conductor': 87, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679895624, 'source_is_minimal': False, 'source_label': '6728.2.a.j.1.3', 'source_level': 6728, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326225448, 'target_is_minimal': False, 'target_label': '2088.2.a.s.1.2', 'target_level': 2088, 'twist_class_label': '232.2.a.d.1.1', 'twist_class_level': 232, 'twisting_char_label': '87.86', 'twisting_conrey_index': 86, 'weight': 2}
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id: 46833313
{'conductor': 116, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679895624, 'source_is_minimal': False, 'source_label': '6728.2.a.j.1.3', 'source_level': 6728, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679889360, 'target_is_minimal': False, 'target_label': '464.2.a.j.1.3', 'target_level': 464, 'twist_class_label': '232.2.a.d.1.1', 'twist_class_level': 232, 'twisting_char_label': '116.115', 'twisting_conrey_index': 115, 'weight': 2}
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id: 46833314
{'conductor': 145, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679895624, 'source_is_minimal': False, 'source_label': '6728.2.a.j.1.3', 'source_level': 6728, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67553994444117672, 'target_is_minimal': False, 'target_label': '5800.2.a.p.1.3', 'target_level': 5800, 'twist_class_label': '232.2.a.d.1.1', 'twist_class_level': 232, 'twisting_char_label': '145.144', 'twisting_conrey_index': 144, 'weight': 2}
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id: 46833315
{'conductor': 232, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679895624, 'source_is_minimal': False, 'source_label': '6728.2.a.j.1.3', 'source_level': 6728, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090448192, 'target_is_minimal': False, 'target_label': '1856.2.a.y.1.1', 'target_level': 1856, 'twist_class_label': '232.2.a.d.1.1', 'twist_class_level': 232, 'twisting_char_label': '232.115', 'twisting_conrey_index': 115, 'weight': 2}
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id: 46833316
{'conductor': 232, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679895624, 'source_is_minimal': False, 'source_label': '6728.2.a.j.1.3', 'source_level': 6728, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582791463077696, 'target_is_minimal': False, 'target_label': '1856.2.a.x.1.3', 'target_level': 1856, 'twist_class_label': '232.2.a.d.1.1', 'twist_class_level': 232, 'twisting_char_label': '232.173', 'twisting_conrey_index': 173, 'weight': 2}
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id: 46833317
{'conductor': 348, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532396679895624, 'source_is_minimal': False, 'source_label': '6728.2.a.j.1.3', 'source_level': 6728, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 207165582892601424, 'target_is_minimal': False, 'target_label': '4176.2.a.bu.1.2', 'target_level': 4176, 'twist_class_label': '232.2.a.d.1.1', 'twist_class_level': 232, 'twisting_char_label': '348.347', 'twisting_conrey_index': 347, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4271975
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 40532396679895624, 'p': 2}
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id: 4271976
{'charpoly_factorization': [[[-8, -5, 2, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 3}
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id: 4271977
{'charpoly_factorization': [[[10, -3, -4, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 5}
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id: 4271978
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 40532396679895624, 'p': 7}
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id: 4271979
{'charpoly_factorization': [[[-80, -29, 2, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 11}
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id: 4271980
{'charpoly_factorization': [[[2, -19, -4, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 13}
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id: 4271981
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 40532396679895624, 'p': 17}
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id: 4271982
{'charpoly_factorization': [[[32, -28, -4, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 19}
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id: 4271983
{'charpoly_factorization': [[[-64, -20, 4, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 23}
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id: 4271984
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 40532396679895624, 'p': 29}
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id: 4271985
{'charpoly_factorization': [[[-68, 59, -14, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 31}
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id: 4271986
{'charpoly_factorization': [[[32, -32, -2, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 37}
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id: 4271987
{'charpoly_factorization': [[[-512, -64, 10, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 41}
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id: 4271988
{'charpoly_factorization': [[[-32, -37, -6, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 43}
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id: 4271989
{'charpoly_factorization': [[[452, -117, -2, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 47}
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id: 4271990
{'charpoly_factorization': [[[58, -43, 0, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 53}
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id: 4271991
{'charpoly_factorization': [[[16, -4, -8, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 59}
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id: 4271992
{'charpoly_factorization': [[[-328, -100, 2, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 61}
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id: 4271993
{'charpoly_factorization': [[[640, 32, -20, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 67}
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id: 4271994
{'charpoly_factorization': [[[1696, -148, -12, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 71}
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id: 4271995
{'charpoly_factorization': [[[160, -96, 2, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 73}
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id: 4271996
{'charpoly_factorization': [[[-388, 251, -30, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 79}
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id: 4271997
{'charpoly_factorization': [[[-976, 316, -32, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 83}
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id: 4271998
{'charpoly_factorization': [[[-2816, -256, 10, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 89}
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id: 4271999
{'charpoly_factorization': [[[64, 32, -14, 1], 1]], 'hecke_orbit_code': 40532396679895624, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '6728.2.a.j', 'level': 6728, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 205691000
{'hecke_orbit_code': 40532396679895624, 'n': 1, 'trace_an': 3}
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id: 205691001
{'hecke_orbit_code': 40532396679895624, 'n': 2, 'trace_an': 0}
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id: 205691002
{'hecke_orbit_code': 40532396679895624, 'n': 3, 'trace_an': -2}
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id: 205691003
{'hecke_orbit_code': 40532396679895624, 'n': 4, 'trace_an': 0}
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id: 205691004
{'hecke_orbit_code': 40532396679895624, 'n': 5, 'trace_an': 4}
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id: 205691005
{'hecke_orbit_code': 40532396679895624, 'n': 6, 'trace_an': 0}
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id: 205691006
{'hecke_orbit_code': 40532396679895624, 'n': 7, 'trace_an': 0}
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id: 205691007
{'hecke_orbit_code': 40532396679895624, 'n': 8, 'trace_an': 0}
-
id: 205691008
{'hecke_orbit_code': 40532396679895624, 'n': 9, 'trace_an': 5}
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id: 205691009
{'hecke_orbit_code': 40532396679895624, 'n': 10, 'trace_an': 0}
-
id: 205691010
{'hecke_orbit_code': 40532396679895624, 'n': 11, 'trace_an': -2}
-
id: 205691011
{'hecke_orbit_code': 40532396679895624, 'n': 12, 'trace_an': 0}
-
id: 205691012
{'hecke_orbit_code': 40532396679895624, 'n': 13, 'trace_an': 4}
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id: 205691013
{'hecke_orbit_code': 40532396679895624, 'n': 14, 'trace_an': 0}
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id: 205691014
{'hecke_orbit_code': 40532396679895624, 'n': 15, 'trace_an': 2}
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id: 205691015
{'hecke_orbit_code': 40532396679895624, 'n': 16, 'trace_an': 0}
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id: 205691016
{'hecke_orbit_code': 40532396679895624, 'n': 17, 'trace_an': -6}
-
id: 205691017
{'hecke_orbit_code': 40532396679895624, 'n': 18, 'trace_an': 0}
-
id: 205691018
{'hecke_orbit_code': 40532396679895624, 'n': 19, 'trace_an': 4}
-
id: 205691019
{'hecke_orbit_code': 40532396679895624, 'n': 20, 'trace_an': 0}
-
id: 205691020
{'hecke_orbit_code': 40532396679895624, 'n': 21, 'trace_an': 0}
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id: 205691021
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