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mf_newforms • Show schema
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{'Nk2': 21888, 'analytic_conductor': 43.694139986044625, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 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': [5472, 1, [4447, 2053, 1217, 3745], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 19664, 'field_disc_factorization': [[2, 4], [1229, 1]], 'field_poly': [2, 2, -5, -2, 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': [[5, [8, 12, -3, -4, 1]], [7, [16, -16, -11, 2, 1]], [11, [4, -16, -3, 4, 1]], [13, [-32, 80, -20, -4, 1]], [23, [16, -48, -56, 4, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892602720, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5472.2.a.bu', 'level': 5472, '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, 3, 19], 'level_radical': 114, 'minimal_twist': '5472.2.a.bq', 'nf_label': '4.4.19664.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{3})q^{5}+(-1-\\beta _{2})q^{7}+(-1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5472.2.a', 'trace_display': [0, 0, 4, -2], 'trace_hash': 535413617988281429, 'trace_moments': 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mf_hecke_nf • Show schema
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-6], [-4, -14, -22, 6], [19, -5, 2, 4], [33, 5, -10, 16], [-31, -16, -15, 24], [30, 8, -10, 4], [16, 14, 24, -20], [-25, 3, -16, 0], [-21, -3, -4, 24], [8, 8, 18, 6], [59, 1, -4, 2], [25, 1, 6, -20], [52, -1, 16, 3], [9, 11, 22, -8], [43, 7, 10, -24], [-41, -1, -16, 14], [-13, -4, -17, 16], [-1, -8, 19, -18], [-1, -3, -6, -14], [14, 2, 2, -10], [53, -2, -8, -1], [-34, 0, 0, -12], [41, 4, 8, -13], [44, -10, 4, 6], [-17, 8, -9, -16], [-2, 12, -4, -4], [45, -1, 0, 6], [-34, -14, -2, 18], [17, -11, -12, 12], [28, -8, -4, 12], [-76, -2, 0, -2], [-17, -1, 4, -2], [5, 11, 4, -32], [48, -1, 0, -7], [26, 6, 10, 6], [-30, 2, -10, -8], [-17, -3, -4, 0], [-12, -8, -2, -10], [-22, -5, -8, 17], [15, -4, 15, -4], [14, -3, 12, 13]], 'char_orbit_index': 1, 'field_poly': [2, 2, -5, -2, 1], 'hecke_orbit_code': 207165582892602720, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [1, 1, 0, 0], [4, 1, 1, 0], [9, 4, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [-1, 2, 0, 0], [-3, -2, 1, 0], [1, -4, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '5472.2.a.bu', 'level': 5472, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [9, 9, 15, 12, 9, 9, 12, 15], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [7, 8, 8, 8, 8, 8, 8, 8], 'ALdims_old': [100, 111, 101, 104, 115, 103, 104, 101], 'Nk2': 21888, 'analytic_conductor': 43.694139986044625, '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': [5472, 1, [4447, 2053, 1217, 3745], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 929, 'dim': 90, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13, 23], 'hecke_orbit_code': 33559904, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], 'label': '5472.2.a', 'level': 5472, '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, 3, 19], 'level_radical': 114, 'mf_dim': 992, 'mf_new_dim': 90, 'num_forms': 48, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 90, 'sturm_bound': 1920, 'trace_bound': 19, 'trace_display': [0, 0, 4, 0], 'traces': [90, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 74, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -60, 0, 0, 0, 0, 0, 0, 0, 106, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 124, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -236, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -44, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, -56, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 130, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 100, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 212, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -110, 0, 0, 0, -168, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 244, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 84, 0, 0, 0, -204, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -260, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -220, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -172, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -140, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, -448, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 260, 0, 0, 0, -236, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -188, 0, 0, 0, 0, 0, 0, 0, 250, 0, 0, 0, 312, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, -380, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -220, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1261556
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': True, 'source_label': '5472.2.a.bu', 'source_level': 5472, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 43, 'target_is_minimal': True, 'target_label': '5472.2.a.bq', 'target_level': 5472, 'twist_class_label': '5472.2.a.bq', 'twist_class_level': 5472, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1261557
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': True, 'source_label': '5472.2.a.bu', 'source_level': 5472, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 44, 'target_is_minimal': True, 'target_label': '5472.2.a.br', 'target_level': 5472, 'twist_class_label': '5472.2.a.bq', 'twist_class_level': 5472, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1261558
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': True, 'source_label': '5472.2.a.bu', 'source_level': 5472, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 47, 'target_is_minimal': True, 'target_label': '5472.2.a.bu', 'target_level': 5472, 'twist_class_label': '5472.2.a.bq', 'twist_class_level': 5472, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1261559
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': True, 'source_label': '5472.2.a.bu', 'source_level': 5472, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 48, 'target_is_minimal': True, 'target_label': '5472.2.a.bv', 'target_level': 5472, 'twist_class_label': '5472.2.a.bq', 'twist_class_level': 5472, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3908200
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 207165582892602720, 'p': 2}
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id: 3908201
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 207165582892602720, 'p': 3}
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id: 3908202
{'charpoly_factorization': [[[8, 12, -3, -4, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 5}
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id: 3908203
{'charpoly_factorization': [[[16, -16, -11, 2, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 7}
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id: 3908204
{'charpoly_factorization': [[[4, -16, -3, 4, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 11}
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id: 3908205
{'charpoly_factorization': [[[-32, 80, -20, -4, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 13}
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id: 3908206
{'charpoly_factorization': [[[80, 72, -3, -8, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 17}
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id: 3908207
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 207165582892602720, 'p': 19}
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id: 3908208
{'charpoly_factorization': [[[16, -48, -56, 4, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 23}
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id: 3908209
{'charpoly_factorization': [[[-32, 80, -20, -4, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 29}
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id: 3908210
{'charpoly_factorization': [[[160, 176, -68, 0, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 31}
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id: 3908211
{'charpoly_factorization': [[[-448, 416, -44, -8, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 37}
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id: 3908212
{'charpoly_factorization': [[[-4288, 1152, -12, -16, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 41}
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id: 3908213
{'charpoly_factorization': [[[848, -504, -107, 6, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 43}
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id: 3908214
{'charpoly_factorization': [[[164, -4, -27, 0, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 47}
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id: 3908215
{'charpoly_factorization': [[[80, 192, 24, -16, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 53}
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id: 3908216
{'charpoly_factorization': [[[-2240, 1152, -140, -4, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 59}
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id: 3908217
{'charpoly_factorization': [[[3860, 332, -123, -6, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 61}
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id: 3908218
{'charpoly_factorization': [[[64, -128, -12, 8, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 67}
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id: 3908219
{'charpoly_factorization': [[[64, -160, 4, 12, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 71}
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id: 3908220
{'charpoly_factorization': [[[9380, 1668, -275, -6, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 73}
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id: 3908221
{'charpoly_factorization': [[[5024, 1424, -52, -20, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 79}
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id: 3908222
{'charpoly_factorization': [[[-1264, 2144, -248, -8, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 83}
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id: 3908223
{'charpoly_factorization': [[[976, -1024, 312, -32, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 89}
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id: 3908224
{'charpoly_factorization': [[[224, -16, -36, 0, 1], 1]], 'hecke_orbit_code': 207165582892602720, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 47, 'label': '5472.2.a.bu', 'level': 5472, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71257513
{'hecke_orbit_code': 207165582892602720, 'n': 1, 'trace_an': 4}
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id: 71257514
{'hecke_orbit_code': 207165582892602720, 'n': 2, 'trace_an': 0}
-
id: 71257515
{'hecke_orbit_code': 207165582892602720, 'n': 3, 'trace_an': 0}
-
id: 71257516
{'hecke_orbit_code': 207165582892602720, 'n': 4, 'trace_an': 0}
-
id: 71257517
{'hecke_orbit_code': 207165582892602720, 'n': 5, 'trace_an': 4}
-
id: 71257518
{'hecke_orbit_code': 207165582892602720, 'n': 6, 'trace_an': 0}
-
id: 71257519
{'hecke_orbit_code': 207165582892602720, 'n': 7, 'trace_an': -2}
-
id: 71257520
{'hecke_orbit_code': 207165582892602720, 'n': 8, 'trace_an': 0}
-
id: 71257521
{'hecke_orbit_code': 207165582892602720, 'n': 9, 'trace_an': 0}
-
id: 71257522
{'hecke_orbit_code': 207165582892602720, 'n': 10, 'trace_an': 0}
-
id: 71257523
{'hecke_orbit_code': 207165582892602720, 'n': 11, 'trace_an': -4}
-
id: 71257524
{'hecke_orbit_code': 207165582892602720, 'n': 12, 'trace_an': 0}
-
id: 71257525
{'hecke_orbit_code': 207165582892602720, 'n': 13, 'trace_an': 4}
-
id: 71257526
{'hecke_orbit_code': 207165582892602720, 'n': 14, 'trace_an': 0}
-
id: 71257527
{'hecke_orbit_code': 207165582892602720, 'n': 15, 'trace_an': 0}
-
id: 71257528
{'hecke_orbit_code': 207165582892602720, 'n': 16, 'trace_an': 0}
-
id: 71257529
{'hecke_orbit_code': 207165582892602720, 'n': 17, 'trace_an': 8}
-
id: 71257530
{'hecke_orbit_code': 207165582892602720, 'n': 18, 'trace_an': 0}
-
id: 71257531
{'hecke_orbit_code': 207165582892602720, 'n': 19, 'trace_an': -4}
-
id: 71257532
{'hecke_orbit_code': 207165582892602720, 'n': 20, 'trace_an': 0}
-
id: 71257533
{'hecke_orbit_code': 207165582892602720, 'n': 21, 'trace_an': 0}
-
id: 71257534
{'hecke_orbit_code': 207165582892602720, 'n': 22, 'trace_an': 0}
-
id: 71257535
{'hecke_orbit_code': 207165582892602720, 'n': 23, 'trace_an': -4}
-
id: 71257536
{'hecke_orbit_code': 207165582892602720, 'n': 24, 'trace_an': 0}
-
id: 71257537
{'hecke_orbit_code': 207165582892602720, 'n': 25, 'trace_an': 2}
-
id: 71257538
{'hecke_orbit_code': 207165582892602720, 'n': 26, 'trace_an': 0}
-
id: 71257539
{'hecke_orbit_code': 207165582892602720, 'n': 27, 'trace_an': 0}
-
id: 71257540
{'hecke_orbit_code': 207165582892602720, 'n': 28, 'trace_an': 0}
-
id: 71257541
{'hecke_orbit_code': 207165582892602720, 'n': 29, 'trace_an': 4}
-
id: 71257542
{'hecke_orbit_code': 207165582892602720, 'n': 30, 'trace_an': 0}
-
id: 71257543
{'hecke_orbit_code': 207165582892602720, 'n': 31, 'trace_an': 0}
-
id: 71257544
{'hecke_orbit_code': 207165582892602720, 'n': 32, 'trace_an': 0}
-
id: 71257545
{'hecke_orbit_code': 207165582892602720, 'n': 33, 'trace_an': 0}
-
id: 71257546
{'hecke_orbit_code': 207165582892602720, 'n': 34, 'trace_an': 0}
-
id: 71257547
{'hecke_orbit_code': 207165582892602720, 'n': 35, 'trace_an': 4}
-
id: 71257548
{'hecke_orbit_code': 207165582892602720, 'n': 36, 'trace_an': 0}
-
id: 71257549
{'hecke_orbit_code': 207165582892602720, 'n': 37, 'trace_an': 8}
-
id: 71257550
{'hecke_orbit_code': 207165582892602720, 'n': 38, 'trace_an': 0}
-
id: 71257551
{'hecke_orbit_code': 207165582892602720, 'n': 39, 'trace_an': 0}
-
id: 71257552
{'hecke_orbit_code': 207165582892602720, 'n': 40, 'trace_an': 0}
-
id: 71257553
{'hecke_orbit_code': 207165582892602720, 'n': 41, 'trace_an': 16}
-
id: 71257554
{'hecke_orbit_code': 207165582892602720, 'n': 42, 'trace_an': 0}
-
id: 71257555
{'hecke_orbit_code': 207165582892602720, 'n': 43, 'trace_an': -6}
-
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