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mf_newforms • Show schema
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{'Nk2': 1045, 'analytic_conductor': 0.5215229382014875, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 1045, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': -1, 'char_values': [1045, 4, [837, 761, 496], [3, 2, 2]], 'cm_discs': [-19], 'conrey_index': 208, 'conrey_indexes': [208, 417], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]], [7, [2, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504286838916117, 'hecke_ring_generator_nbound': 4, '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, 19, 2, -1, 2, -19], [1, 1, 55, 5, 1, 4, 0], [1, 1, 1045, 11, -1, 4, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '1045.1.k.b', 'level': 1045, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '1045.1.k.b', 'nf_label': '2.0.4.1', 'prim_orbit_index': 11, 'projective_field': [-739, 69, -14, -1, 1], 'projective_field_label': '4.2.287375.1', 'projective_image': 'D4', 'projective_image_type': 'Dn', 'qexp_display': 'q-iq^{4}+q^{5}+(-1+i)q^{7}-iq^{9}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-19], 'self_twist_type': 1, 'space_label': '1045.1.k', 'trace_display': [0, 0, 2, -2], 'trace_hash': 1233200984882140300, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.786', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.163', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[[1, 0]], [], [], [[-1, 1]], [[1, 0]], [], [[-1, 0], [1, 1]], [], [[-1, 1]], [], [[-1, 1]], [], [], [], [], [[-1, 0]], [[1, 0], [-1, 1]], [], [[1, 0]], [[-1, 1]], [], [], [[-1, 0], [1, 1]], [], [[1, 0]], [], [], [[1, 0], [1, 1]], [], [], [], [], [], [], [[-1, 0], [1, 1]], [[-1, 0]], [], [], [], [], [], [], [[-1, 0], [-1, 1]], [[-1, 0]], [[-1, 1]], [], [[1, 0], [1, 1]], [], [[-1, 1]], [], [], [], [], [], [[-1, 1]], [], [], [], [], [], [[1, 1], [1, 1]], [], [[1, 0], [1, 1]], [[1, 1]], [], [], [], [[-1, 0], [-1, 1]], [], [], [], [], [[-1, 0], [-1, 1]], [], [], [[-1, 1]], [[1, 0], [1, 1]], [], [], [[-1, 0]], [[-1, 0]], [], [[1, 0], [1, 1]], [], [[1, 0], [-1, 1]], [], [], [], [], [], [], [[1, 0], [1, 1]], [], [], [[1, 0]], [], [], [], [[-1, 0]], [[-1, 1]]], 'ap': [[], [], [[1, 0]], [[-1, 0], [1, 1]], [[-1, 1]], [], [[1, 0], [-1, 1]], [[1, 0]], [[-1, 0], [1, 1]], [], [], [], [], [[-1, 0], [-1, 1]], [[1, 0], [1, 1]], [], [], [[1, 1], [1, 1]], [], [], [[-1, 0], [-1, 1]], [], [[1, 0], [1, 1]], [], [], [[1, 1], [1, 1]], [], [], [], [], [], [], [[1, 0], [1, 1]], [], [], [], [[-1, 0], [-1, 1]], [[-1, 0], [1, 1]], [], [], [], [], [[-1, 0], [-1, 0]], [], [[-1, 0], [1, 1]], [], [], [], [], [[-1, 1], [-1, 1]], [[1, 0], [1, 1]], [[1, 0], [1, 0]], [], [[1, 0], [1, 0]], [], [[-1, 0], [-1, 1]], [], [[-1, 1], [-1, 1]], [[1, 0], [-1, 1]], [], [[1, 0], [1, 1]], [], [], [], [[-1, 0], [1, 1]], [], [], [], [[1, 0], [-1, 1]], [[-1, 0], [-1, 0]], [[1, 0], [-1, 1]], [], [[-1, 0], [-1, 1]], [], [], [], [], [[-1, 0], [-1, 1]], [], [], [], [], [], [], [], [[-1, 0], [1, 1]], [], [[1, 0], [-1, 1]], [], [[1, 0], [-1, 1]], [[-1, 0], [-1, 1]], [], [], [], [[-1, 1], [-1, 1]], [[-1, 0], [-1, 1]], [], [], [], [[-1, 1], [-1, 1]], [], [[-1, 0], [1, 1]], [], [], [[1, 1], [1, 1]], [[-1, 0], [-1, 1]], [[-1, 0], [-1, 1]], [[1, 0], [1, 1]], [], [], [], [[-1, 0], [-1, 1]], [[1, 0], [1, 1]], [[1, 1], [1, 1]], [], [], [[-1, 0], [1, 1]], [[-1, 0], [-1, 1]], [[-1, 0], [1, 1]], [], [], [], [], [], [], [[-1, 1], [-1, 1]], [], [[1, 1], [1, 1]], [[1, 0], [1, 1]], [[-1, 0], [-1, 1]], [[-1, 0], [-1, 0]], [], [], [[1, 0], [1, 1]], [[1, 1], [1, 1]], [], [], [], [], [[1, 0], [1, 0]], [], [], [[1, 0], [-1, 1]], [], [], [], [[1, 0], [1, 1]], [], [], [], [], [], [[1, 0], [-1, 1]], [], [], [], [[-1, 0], [-1, 0]], [], [[-1, 0], [1, 1]], [], [[-1, 0], [-1, 1]], [], [[-1, 0], [1, 1]], [], [], [], [], [[-1, 0], [1, 1]], [], [[1, 0], [-1, 1]], [], [], [[1, 1], [1, 1]], [[1, 0], [1, 1]], [], [[1, 1], [1, 1]], [], [], [], [], [[1, 0], [1, 1]], [], [], [], [[1, 0], [-1, 1]], [], [], [], [], [], [], [[-1, 0], [-1, 1]], [], [], [[-1, 0], [1, 1]], [], [], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[1, 0], [1, 1]], [], [], [], [], [[-1, 1], [-1, 1]], [[-1, 0], [-1, 1]], [[-1, 1], [-1, 1]], [], [[-1, 0], [-1, 0]], [], [[-1, 0], [1, 1]], [], [[1, 0], [-1, 1]], [], [], [], [[-1, 0], [1, 1]], [], [], [[1, 0], [-1, 1]], [], [], [], [[-1, 0], [1, 1]], [], [[-1, 0], [-1, 0]], [], [], [], [], [[-1, 0], [1, 1]], [], [], [], [[-1, 0], [1, 1]], [[1, 0], [-1, 1]], [[-1, 1], [-1, 1]], [[-1, 0], [-1, 1]], [[-1, 1], [-1, 1]], [], [], [], [[1, 0], [-1, 1]], [], [], [[-1, 0], [-1, 0]], [[1, 0], [1, 1]], [], [], [[1, 0], [1, 1]], [[1, 0], [-1, 1]], [], [[1, 0], [1, 1]], [], [[-1, 0], [-1, 1]], [[1, 0], [1, 0]], [[-1, 0], [-1, 0]], [], [], [[1, 0], [-1, 1]], [], [], [], [], [[1, 0], [1, 1]], [], [], [], [], [[-1, 0], [-1, 1]], [], [], [[-1, 0], [1, 1]], [], [], [[1, 0], [-1, 1]], [[-1, 0], [-1, 1]], [], [], [[-1, 1], [-1, 1]], [], [], [[1, 0], [-1, 1]], [], [[-1, 0], [1, 1]], [], [[-1, 0], [1, 1]], [], [], [], [[-1, 0], [-1, 0]], [[1, 0], [1, 1]], [], [], [], [], [], [[1, 0], [-1, 1]], [], [[1, 0], [-1, 1]], [[1, 0], [1, 1]], [], []], 'char_orbit_index': 11, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4504286838916117, 'hecke_ring_character_values': [[837, [[1, 1]]], [761, [[-1, 0]]], [496, [[-1, 0]]]], 'hecke_ring_cyclotomic_generator': 4, 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '1045.1.k.b', 'level': 1045, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 1045, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.5215229382014875, 'char_conductor': 1045, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': -1, 'char_values': [1045, 4, [837, 761, 496], [3, 2, 2]], 'conrey_index': 208, 'cusp_dim': 8, 'dihedral_dim': 8, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_orbit_code': 687211545621, 'hecke_orbit_dims': [2, 2, 2, 2], 'label': '1045.1.k', 'level': 1045, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 16, 'mf_new_dim': 16, 'num_forms': 4, 'prim_orbit_index': 11, 'relative_dim': 4, 's4_dim': 0, 'sturm_bound': 120, 'trace_bound': 7, 'trace_display': [0, 0, 4, 0], 'traces': [8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, -8, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 629417
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.1.k.b', 'source_level': 1045, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1045.1.k.b', 'target_level': 1045, 'twist_class_label': '1045.1.k.b', 'twist_class_level': 1045, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 629418
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -19, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.1.k.b', 'source_level': 1045, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1045.1.k.b', 'target_level': 1045, 'twist_class_label': '1045.1.k.b', 'twist_class_level': 1045, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 629419
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.1.k.b', 'source_level': 1045, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1045.1.k.b', 'target_level': 1045, 'twist_class_label': '1045.1.k.b', 'twist_class_level': 1045, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 1}
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id: 629420
{'conductor': 1045, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.1.k.b', 'source_level': 1045, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1045.1.k.b', 'target_level': 1045, 'twist_class_label': '1045.1.k.b', 'twist_class_level': 1045, 'twisting_char_label': '1045.k', 'twisting_char_orbit': 11, 'weight': 1}
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id: 629421
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.1.k.b', 'source_level': 1045, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1045.1.k.c', 'target_level': 1045, 'twist_class_label': '1045.1.k.b', 'twist_class_level': 1045, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 629422
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.1.k.b', 'source_level': 1045, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1045.1.k.c', 'target_level': 1045, 'twist_class_label': '1045.1.k.b', 'twist_class_level': 1045, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 629423
{'conductor': 95, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.1.k.b', 'source_level': 1045, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1045.1.k.c', 'target_level': 1045, 'twist_class_label': '1045.1.k.b', 'twist_class_level': 1045, 'twisting_char_label': '95.g', 'twisting_char_orbit': 7, 'weight': 1}
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id: 629424
{'conductor': 209, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1045.1.k.b', 'source_level': 1045, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1045.1.k.c', 'target_level': 1045, 'twist_class_label': '1045.1.k.b', 'twist_class_level': 1045, 'twisting_char_label': '209.d', 'twisting_char_orbit': 4, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1629350
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 2}
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id: 1629351
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 3}
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id: 1629352
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 5}
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id: 1629353
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 4504286838916117, 'p': 7}
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id: 1629354
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 4504286838916117, 'p': 11}
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id: 1629355
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 13}
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id: 1629356
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4504286838916117, 'p': 17}
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id: 1629357
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 19}
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id: 1629358
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 4504286838916117, 'p': 23}
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id: 1629359
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 29}
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id: 1629360
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 31}
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id: 1629361
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 37}
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id: 1629362
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 41}
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id: 1629363
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 4504286838916117, 'p': 43}
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id: 1629364
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4504286838916117, 'p': 47}
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id: 1629365
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 53}
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id: 1629366
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 59}
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id: 1629367
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4504286838916117, 'p': 61}
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id: 1629368
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 67}
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id: 1629369
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 71}
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id: 1629370
{'charpoly_factorization': [[[2, 2, 1], 1]], 'hecke_orbit_code': 4504286838916117, 'p': 73}
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id: 1629371
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 79}
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id: 1629372
{'charpoly_factorization': [[[2, -2, 1], 1]], 'hecke_orbit_code': 4504286838916117, 'p': 83}
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id: 1629373
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 89}
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id: 1629374
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504286838916117, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 2, 'label': '1045.1.k.b', 'level': 1045, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 91503000
{'hecke_orbit_code': 4504286838916117, 'n': 1, 'trace_an': 2}
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id: 91503001
{'hecke_orbit_code': 4504286838916117, 'n': 2, 'trace_an': 0}
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id: 91503002
{'hecke_orbit_code': 4504286838916117, 'n': 3, 'trace_an': 0}
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id: 91503003
{'hecke_orbit_code': 4504286838916117, 'n': 4, 'trace_an': 0}
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id: 91503004
{'hecke_orbit_code': 4504286838916117, 'n': 5, 'trace_an': 2}
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id: 91503005
{'hecke_orbit_code': 4504286838916117, 'n': 6, 'trace_an': 0}
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id: 91503006
{'hecke_orbit_code': 4504286838916117, 'n': 7, 'trace_an': -2}
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id: 91503007
{'hecke_orbit_code': 4504286838916117, 'n': 8, 'trace_an': 0}
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id: 91503008
{'hecke_orbit_code': 4504286838916117, 'n': 9, 'trace_an': 0}
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id: 91503009
{'hecke_orbit_code': 4504286838916117, 'n': 10, 'trace_an': 0}
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id: 91503010
{'hecke_orbit_code': 4504286838916117, 'n': 11, 'trace_an': 0}
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id: 91503011
{'hecke_orbit_code': 4504286838916117, 'n': 12, 'trace_an': 0}
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id: 91503012
{'hecke_orbit_code': 4504286838916117, 'n': 13, 'trace_an': 0}
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id: 91503013
{'hecke_orbit_code': 4504286838916117, 'n': 14, 'trace_an': 0}
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id: 91503014
{'hecke_orbit_code': 4504286838916117, 'n': 15, 'trace_an': 0}
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id: 91503015
{'hecke_orbit_code': 4504286838916117, 'n': 16, 'trace_an': -2}
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id: 91503016
{'hecke_orbit_code': 4504286838916117, 'n': 17, 'trace_an': 2}
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id: 91503017
{'hecke_orbit_code': 4504286838916117, 'n': 18, 'trace_an': 0}
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id: 91503018
{'hecke_orbit_code': 4504286838916117, 'n': 19, 'trace_an': 2}
-
id: 91503019
{'hecke_orbit_code': 4504286838916117, 'n': 20, 'trace_an': 0}
-
id: 91503020
{'hecke_orbit_code': 4504286838916117, 'n': 21, 'trace_an': 0}
-
id: 91503021
{'hecke_orbit_code': 4504286838916117, 'n': 22, 'trace_an': 0}
-
id: 91503022
{'hecke_orbit_code': 4504286838916117, 'n': 23, 'trace_an': -2}
-
id: 91503023
{'hecke_orbit_code': 4504286838916117, 'n': 24, 'trace_an': 0}
-
id: 91503024
{'hecke_orbit_code': 4504286838916117, 'n': 25, 'trace_an': 2}
-
id: 91503025
{'hecke_orbit_code': 4504286838916117, 'n': 26, 'trace_an': 0}
-
id: 91503026
{'hecke_orbit_code': 4504286838916117, 'n': 27, 'trace_an': 0}
-
id: 91503027
{'hecke_orbit_code': 4504286838916117, 'n': 28, 'trace_an': 2}
-
id: 91503028
{'hecke_orbit_code': 4504286838916117, 'n': 29, 'trace_an': 0}
-
id: 91503029
{'hecke_orbit_code': 4504286838916117, 'n': 30, 'trace_an': 0}
-
id: 91503030
{'hecke_orbit_code': 4504286838916117, 'n': 31, 'trace_an': 0}
-
id: 91503031
{'hecke_orbit_code': 4504286838916117, 'n': 32, 'trace_an': 0}
-
id: 91503032
{'hecke_orbit_code': 4504286838916117, 'n': 33, 'trace_an': 0}
-
id: 91503033
{'hecke_orbit_code': 4504286838916117, 'n': 34, 'trace_an': 0}
-
id: 91503034
{'hecke_orbit_code': 4504286838916117, 'n': 35, 'trace_an': -2}
-
id: 91503035
{'hecke_orbit_code': 4504286838916117, 'n': 36, 'trace_an': -2}
-
id: 91503036
{'hecke_orbit_code': 4504286838916117, 'n': 37, 'trace_an': 0}
-
id: 91503037
{'hecke_orbit_code': 4504286838916117, 'n': 38, 'trace_an': 0}
-
id: 91503038
{'hecke_orbit_code': 4504286838916117, 'n': 39, 'trace_an': 0}
-
id: 91503039
{'hecke_orbit_code': 4504286838916117, 'n': 40, 'trace_an': 0}
-
id: 91503040
{'hecke_orbit_code': 4504286838916117, 'n': 41, 'trace_an': 0}
-
id: 91503041
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