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{'Nk2': 38304, 'analytic_conductor': 76.4647449755781, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [19, 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': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-1, 1]], [11, [-11, -1, 1]], [13, [-19, -2, 1]], [17, [5, -5, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265236328, 'hecke_ring_generator_nbound': 13, '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': '9576.2.a.bt', 'level': 9576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '1064.2.a.d', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-q^{7}+(-1+3\\beta )q^{11}+(3-4\\beta )q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9576.2.a', 'trace_display': [0, 0, 2, -2], 'trace_hash': 1361295164369721347, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.070', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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'char_values': [9576, 1, [7183, 4789, 5321, 4105, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1889, 'dim': 134, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33564008, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5], 'label': '9576.2.a', 'level': 9576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 1952, 'mf_new_dim': 134, 'num_forms': 67, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 134, 'sturm_bound': 3840, 'trace_bound': 17, 'trace_display': [0, 0, 4, 0], 'traces': [134, 0, 0, 0, 4, 0, 0, 0, 0, 0, -12, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 134, 0, 0, 0, -4, 0, 16, 0, 0, 0, -12, 0, 4, 0, 0, 0, -4, 0, 20, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
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id: 1438024
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '9576.2.a.bt', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1064.2.a.d', 'target_level': 1064, 'twist_class_label': '1064.2.a.d', 'twist_class_level': 1064, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1438025
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '9576.2.a.bt', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2128.2.a.f', 'target_level': 2128, 'twist_class_label': '1064.2.a.d', 'twist_class_level': 1064, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1438026
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '9576.2.a.bt', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '7448.2.a.z', 'target_level': 7448, 'twist_class_label': '1064.2.a.d', 'twist_class_level': 1064, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1438027
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '9576.2.a.bt', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '8512.2.a.q', 'target_level': 8512, 'twist_class_label': '1064.2.a.d', 'twist_class_level': 1064, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1438028
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '9576.2.a.bt', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '8512.2.a.y', 'target_level': 8512, 'twist_class_label': '1064.2.a.d', 'twist_class_level': 1064, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1438029
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '9576.2.a.bt', 'source_level': 9576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '9576.2.a.bt', 'target_level': 9576, 'twist_class_label': '1064.2.a.d', 'twist_class_level': 1064, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5066125
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 202661983265236328, 'p': 2}
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id: 5066126
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 202661983265236328, 'p': 3}
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id: 5066127
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 202661983265236328, 'p': 5}
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id: 5066128
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 202661983265236328, 'p': 7}
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id: 5066129
{'charpoly_factorization': [[[-11, -1, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 11}
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id: 5066130
{'charpoly_factorization': [[[-19, -2, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 13}
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id: 5066131
{'charpoly_factorization': [[[5, -5, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 17}
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id: 5066132
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 202661983265236328, 'p': 19}
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id: 5066133
{'charpoly_factorization': [[[-5, 0, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 23}
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id: 5066134
{'charpoly_factorization': [[[-31, -1, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 29}
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id: 5066135
{'charpoly_factorization': [[[-11, 9, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 31}
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id: 5066136
{'charpoly_factorization': [[[5, 10, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 37}
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id: 5066137
{'charpoly_factorization': [[[1, -3, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 41}
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id: 5066138
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 202661983265236328, 'p': 43}
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id: 5066139
{'charpoly_factorization': [[[-9, 12, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 47}
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id: 5066140
{'charpoly_factorization': [[[-1, -11, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 53}
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id: 5066141
{'charpoly_factorization': [[[-79, -2, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 59}
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id: 5066142
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 202661983265236328, 'p': 61}
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id: 5066143
{'charpoly_factorization': [[[-5, 15, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 67}
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id: 5066144
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 202661983265236328, 'p': 71}
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id: 5066145
{'charpoly_factorization': [[[-5, 5, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 73}
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id: 5066146
{'charpoly_factorization': [[[-44, -12, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 79}
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id: 5066147
{'charpoly_factorization': [[[41, 13, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 83}
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id: 5066148
{'charpoly_factorization': [[[20, -10, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 89}
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id: 5066149
{'charpoly_factorization': [[[61, 18, 1], 1]], 'hecke_orbit_code': 202661983265236328, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '9576.2.a.bt', 'level': 9576, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 276060000
{'hecke_orbit_code': 202661983265236328, 'n': 1, 'trace_an': 2}
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id: 276060001
{'hecke_orbit_code': 202661983265236328, 'n': 2, 'trace_an': 0}
-
id: 276060002
{'hecke_orbit_code': 202661983265236328, 'n': 3, 'trace_an': 0}
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id: 276060003
{'hecke_orbit_code': 202661983265236328, 'n': 4, 'trace_an': 0}
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id: 276060004
{'hecke_orbit_code': 202661983265236328, 'n': 5, 'trace_an': 2}
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id: 276060005
{'hecke_orbit_code': 202661983265236328, 'n': 6, 'trace_an': 0}
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id: 276060006
{'hecke_orbit_code': 202661983265236328, 'n': 7, 'trace_an': -2}
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id: 276060007
{'hecke_orbit_code': 202661983265236328, 'n': 8, 'trace_an': 0}
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id: 276060008
{'hecke_orbit_code': 202661983265236328, 'n': 9, 'trace_an': 0}
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id: 276060009
{'hecke_orbit_code': 202661983265236328, 'n': 10, 'trace_an': 0}
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id: 276060010
{'hecke_orbit_code': 202661983265236328, 'n': 11, 'trace_an': 1}
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id: 276060011
{'hecke_orbit_code': 202661983265236328, 'n': 12, 'trace_an': 0}
-
id: 276060012
{'hecke_orbit_code': 202661983265236328, 'n': 13, 'trace_an': 2}
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id: 276060013
{'hecke_orbit_code': 202661983265236328, 'n': 14, 'trace_an': 0}
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id: 276060014
{'hecke_orbit_code': 202661983265236328, 'n': 15, 'trace_an': 0}
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id: 276060015
{'hecke_orbit_code': 202661983265236328, 'n': 16, 'trace_an': 0}
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id: 276060016
{'hecke_orbit_code': 202661983265236328, 'n': 17, 'trace_an': 5}
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id: 276060017
{'hecke_orbit_code': 202661983265236328, 'n': 18, 'trace_an': 0}
-
id: 276060018
{'hecke_orbit_code': 202661983265236328, 'n': 19, 'trace_an': -2}
-
id: 276060019
{'hecke_orbit_code': 202661983265236328, 'n': 20, 'trace_an': 0}
-
id: 276060020
{'hecke_orbit_code': 202661983265236328, 'n': 21, 'trace_an': 0}
-
id: 276060021
{'hecke_orbit_code': 202661983265236328, 'n': 22, 'trace_an': 0}
-
id: 276060022
{'hecke_orbit_code': 202661983265236328, 'n': 23, 'trace_an': 0}
-
id: 276060023
{'hecke_orbit_code': 202661983265236328, 'n': 24, 'trace_an': 0}
-
id: 276060024
{'hecke_orbit_code': 202661983265236328, 'n': 25, 'trace_an': -8}
-
id: 276060025
{'hecke_orbit_code': 202661983265236328, 'n': 26, 'trace_an': 0}
-
id: 276060026
{'hecke_orbit_code': 202661983265236328, 'n': 27, 'trace_an': 0}
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id: 276060027
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