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{'Nk2': 19712, 'analytic_conductor': 39.350278116086976, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, -1], [11, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4928, 1, [4159, 1541, 2817, 3137], [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': [[3, [-4, -2, 1]], [5, [-4, 2, 1]], [13, [-4, -2, 1]], [17, [-16, 4, 1]], [19, [20, -10, 1]], [23, [-4, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265231680, 'hecke_ring_generator_nbound': 3, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4928.2.a.bt', 'level': 4928, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '154.2.a.d', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{3}+(-1-\\beta )q^{5}+q^{7}+(3+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4928.2.a', 'trace_display': [0, 2, -2, 2], 'trace_hash': 30566538181696245, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.865', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 1], [0, 0], [-1, -1], [0, 0], [1, 0], [0, 0], [3, 2], [0, 0], [-1, 0], [0, 0], [1, -1], [0, 0], [-6, -2], [0, 0], [-2, -2], [0, 0], [5, -1], [0, 0], [1, 1], [0, 0], [4, 0], [0, 0], [1, 2], [0, 0], [10, 2], [0, 0], [0, 2], [0, 0], [2, 0], [0, 0], [-1, -1], [0, 0], [-1, -1], [0, 0], [2, 4], [0, 0], [-4, 0], [0, 0], [2, 2], [0, 0], [6, -2], [0, 0], [-13, -5], [0, 0], [-2, 0], [0, 0], [1, 0], [0, 0], [-12, -4], [0, 0], [-4, 2], [0, 0], [1, 1], [0, 0], [0, 4], [0, 0], [-5, -1], [0, 0], [3, 1], [0, 0], [3, 2], [0, 0], [4, 0], [0, 0], [2, 6], [0, 0], [4, 4], [0, 0], [2, -2], [0, 0], [4, -4], [0, 0], [11, 3], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [11, 6], [0, 0], [1, -5], [0, 0], [12, 4], [0, 0], [10, 2], [0, 0], [10, 0], [0, 0], [1, -1], [0, 0], [2, 2], [0, 0], [0, -4], [0, 0], [8, -2], [0, 0], [-3, -2], [0, 0]], 'ap': [[0, 0], [1, 1], [-1, -1], [1, 0], [-1, 0], [1, -1], [-2, -2], [5, -1], [4, 0], [0, 2], [2, 0], [2, 4], [2, 2], [6, -2], [-2, 0], [-4, 2], [-5, 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-16], [-92, -2], [-36, 12], [-40, 2], [47, 21], [-22, 30], [35, -27], [64, -14], [7, -21], [-34, -22], [10, 36], [-7, -7], [-10, -10]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 202661983265231680, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '4928.2.a.bt', 'level': 4928, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [7, -1], [11, 1]], 18, 7], [[[2, -1], [7, -1], [11, -1]], 19, 8], [[[2, 1], [7, 1], [11, 1]], 14, 9], [[[2, 1], [7, -1], [11, -1]], 11, 9], [[[2, -1], [7, -1], [11, 1]], 12, 8], [[[2, -1], [7, 1], [11, 1]], 16, 8], [[[2, 1], [7, 1], [11, -1]], 15, 8], [[[2, -1], [7, 1], [11, -1]], 15, 7]], 'ALdims': [14, 15, 18, 11, 16, 15, 12, 19], 'Nk2': 19712, 'analytic_conductor': 39.350278116086976, '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': [4928, 1, [4159, 1541, 2817, 3137], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 745, 'dim': 120, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13, 17, 19, 23], 'hecke_orbit_code': 33559360, '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, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5], 'label': '4928.2.a', 'level': 4928, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 792, 'mf_new_dim': 120, 'num_forms': 64, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 1536, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -48, 0, 0, 0, 120, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 48, 0, 0, 0, 16, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, 120, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 160, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 200, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1233705
{'conductor': 8, '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': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '154.2.a.d', 'target_level': 154, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1233706
{'conductor': 56, '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': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1078.2.a.w', 'target_level': 1078, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1233707
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1078.2.e.n', 'target_level': 1078, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1233708
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1078.2.e.q', 'target_level': 1078, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1233709
{'conductor': 8, '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': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1232.2.a.p', 'target_level': 1232, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1233710
{'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': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1386.2.a.m', 'target_level': 1386, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1233711
{'conductor': 88, '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': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1694.2.a.l', 'target_level': 1694, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1233712
{'conductor': 40, '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': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '3850.2.a.bj', 'target_level': 3850, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1233713
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 46, 'source_is_minimal': False, 'source_label': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3850.2.c.q', 'target_level': 3850, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1233714
{'conductor': 4, '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': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '4928.2.a.bk', 'target_level': 4928, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1233715
{'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': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '4928.2.a.bt', 'target_level': 4928, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1233716
{'conductor': 56, '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': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '8624.2.a.bf', 'target_level': 8624, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1233717
{'conductor': 168, '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': '4928.2.a.bt', 'source_level': 4928, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 73, 'target_is_minimal': False, 'target_label': '9702.2.a.cu', 'target_level': 9702, 'twist_class_label': '154.2.a.d', 'twist_class_level': 154, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3746775
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 202661983265231680, 'p': 2}
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id: 3746776
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 3}
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id: 3746777
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 5}
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id: 3746778
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 202661983265231680, 'p': 7}
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id: 3746779
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 202661983265231680, 'p': 11}
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id: 3746780
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 13}
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id: 3746781
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 17}
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id: 3746782
{'charpoly_factorization': [[[20, -10, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 19}
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id: 3746783
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 202661983265231680, 'p': 23}
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id: 3746784
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 29}
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id: 3746785
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 202661983265231680, 'p': 31}
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id: 3746786
{'charpoly_factorization': [[[-76, -4, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 37}
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id: 3746787
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 41}
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id: 3746788
{'charpoly_factorization': [[[16, -12, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 43}
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id: 3746789
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 202661983265231680, 'p': 47}
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id: 3746790
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 53}
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id: 3746791
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 59}
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id: 3746792
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 61}
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id: 3746793
{'charpoly_factorization': [[[-176, -4, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 67}
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id: 3746794
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 71}
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id: 3746795
{'charpoly_factorization': [[[-64, -8, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 73}
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id: 3746796
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 202661983265231680, 'p': 79}
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id: 3746797
{'charpoly_factorization': [[[-124, -2, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 83}
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id: 3746798
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 202661983265231680, 'p': 89}
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id: 3746799
{'charpoly_factorization': [[[44, -16, 1], 1]], 'hecke_orbit_code': 202661983265231680, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '4928.2.a.bt', 'level': 4928, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 275786000
{'hecke_orbit_code': 202661983265231680, 'n': 1, 'trace_an': 2}
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id: 275786001
{'hecke_orbit_code': 202661983265231680, 'n': 2, 'trace_an': 0}
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id: 275786002
{'hecke_orbit_code': 202661983265231680, 'n': 3, 'trace_an': 2}
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id: 275786003
{'hecke_orbit_code': 202661983265231680, 'n': 4, 'trace_an': 0}
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