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mf_newforms • Show schema
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{'Nk2': 2088, 'analytic_conductor': 4.168190985510836, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [522, 1, [407, 379], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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, [1, 1]], [7, [2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660925450, 'hecke_ring_generator_nbound': 1, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '522.2.a.b', 'level': 522, '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, 29], 'level_radical': 174, 'minimal_twist': '58.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-q^{5}-2q^{7}-q^{8}+q^{10}+\\cdots', 'related_objects': ['EllipticCurve/Q/522/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '522.2.a', 'trace_display': [-1, 0, -1, -2], 'trace_hash': 587228116130816194, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.894', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.650', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, -1, 0, 1, -1, 0, -2, -1, 0, 1, 3, 0, -1, 2, 0, 1, -8, 0, 0, -1, 0, -3, -4, 0, -4, 1, 0, -2, 1, 0, -3, -1, 0, 8, 2, 0, 8, 0, 0, 1, -2, 0, -11, 3, 0, 4, -13, 0, -3, 4, 0, -1, 11, 0, -3, 2, 0, -1, 0, 0, -8, 3, 0, 1, 1, 0, -12, -8, 0, -2, -2, 0, 4, -8, 0, 0, -6, 0, 15, -1, 0, 2, -4, 0, 8, 11, 0, -3, 10, 0, 2, -4, 0, 13, 0, 0, -2, 3, 0, -4, 8, 0, 14, 1, 0, -11, 2, 0, 5, 3, 0, -2, 6, 0, 4, 1, 0, 0, 16, 0, -2, 8, 0, -3, 9, 0, 8, -1, 0, -1, -12, 0, 0, 12, 0, 8, 12, 0, -20, 2, 0, 2, -3, 0, -1, -4, 0, 8, -15, 0, 2, 0, 0, 6, 3, 0, 18, -15, 0, 1, 8, 0, 9, -2, 0, 4, 2, 0, -12, -8, 0, -11, 6, 0, 8, 3, 0, -10, 10, 0, 7, -2, 0, 4, -8, 0, -24, -13, 0, 0, 8, 0, 14, 2, 0, -3, -18, 0, -10, 4, 0, -8, -2, 0, 2, -14, 0, -1, 0, 0, -3, 11, 0, -2, 11, 0, 6, -5, 0, -3, 8, 0, -26, 2, 0, -6, -18, 0, 10, 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0, -3, -18, 0, -22, -18, 0, 15, -12, 0, 8, 17, 0, -10, 32, 0, 104, 4, 0, 27, 12, 0, -8, -3, 0, -8, 0, 0, -18, -2, 0, -24, -9, 0, 0, -30, 0, 2, 33, 0, -16, -14, 0, 0, -13, 0, 40, -4, 0, -1, 24, 0, -2, 0, 0, -10, -45, 0, 1, -32, 0, -3, 12, 0, 4, 11, 0, -32, -32, 0, 14, -16, 0, -2, 27, 0, -25, 11, 0, 32, 46, 0, -6, 16, 0, 6, 45, 0, 12, -5, 0, 0, -18, 0, 13, -20, 0, -3, -42, 0, -26, 8, 0, 4, -33, 0, -16, 10, 0, -26, 0, 0, -10, 2, 0, -10, -3, 0, -88, 6, 0, -6, -7, 0, 28, -18, 0, 2, 13, 0, -12, 2, 0, 10, 24, 0, 30, -4, 0, 2, 2, 0, -32, -4, 0, -1, 30, 0, 0, 1, 0, -27, 24, 0, -2, -24, 0, 13, -37, 0, 8, 0, 0, 33, -33, 0, -4, 0, 0, -16, 1, 0, -8, 0, 0, -5, -24, 0, -22, 8, 0, 17, -14, 0, 13, 2, 0, -2, 28, 0, 40, 22, 0, -8, -13, 0, 30, 3, 0, -33, -49, 0, 18, 8, 0, 0, 44, 0, 22, 3, 0, -4, 10, 0, 8, 20, 0, -9], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [0], [1], [-1], [0], [-2], [-1], [0], [1], [3], [0], [-1], [2], [0], [1], [-8], [0], [0], [-1], [0], [-3], [-4], [0], [-4], [1], [0], [-2], [1], [0], [-3], [-1], [0], [8], [2], [0], [8], [0], [0], [1], [-2], [0], [-11], [3], [0], [4], [-13], [0], [-3], [4], [0], [-1], [11], [0], [-3], [2], [0], [-1], [0], [0], [-8], [3], [0], [1], [1], [0], [-12], [-8], [0], [-2], [-2], [0], [4], [-8], [0], [0], [-6], [0], [15], [-1], [0], [2], [-4], [0], [8], [11], [0], [-3], [10], [0], [2], [-4], [0], [13], [0], [0], [-2], [3], [0], [-4]], 'ap': [[-1], [0], [-1], [-2], [3], [-1], [-8], [0], [-4], [1], [-3], [8], [-2], [-11], [-13], [11], [0], [-8], [-12], [-2], [4], [15], [-4], [10], [-2], [8], [14], [2], [5], [6], [8], [-12], [12], [-20], [-15], [2], [18], [9], [2], [6], [10], [7], [8], [14], [-18], [-10], [-3], [-26], [-18], [10], [1], [0], [17], [-27], [-13], [-9], [0], [-13], [-2], [-27], [4], [-14], [-7], [8], [9], [12], [-23], [-32], [2], [-15], [26], [25], [-32], [-21], [20], [-14], [0], [-17], [-27], [30], [10], [32], [-32], [-16], [20], [-4], [10], [-2], [-2], [4], [27], [5], [-22], [33], [-20], [-19], [15], [13], [24], [-8], [38], [2], [11], [30], [-28], [8], [-28], [-39], [5], [2], [3], [-31], [12], [-35], [-38], [8], [34], [32], [26], [-15], [-18], [9], [-38], [-24], [-28], [-27], [15], [50], [8], [24], [-5], [-44], [32], [8], [-42], [-20], [-14], [-22], [32], [0], [-18], [33], [-16], [-13], [40], [-45], [14], [27], [-25], [46], [13], [-42], [-26], [-33], [28], [13], [30], [30], [-2], [-37], [-33], [1], [13], [28], [-13], [-49], [22], [8]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 4503599660925450, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '522.2.a.b', 'level': 522, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [1, 2, 1, 2, 2, 1, 1, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [8, 10, 10, 8, 7, 10, 9, 8], 'Nk2': 2088, 'analytic_conductor': 4.168190985510836, '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': [522, 1, [407, 379], [1, 1]], 'conrey_index': 1, 'cusp_dim': 83, 'dim': 13, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33554954, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'label': '522.2.a', 'level': 522, '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, 29], 'level_radical': 174, 'mf_dim': 98, 'mf_new_dim': 13, 'num_forms': 13, 'plus_dim': 5, 'prim_orbit_index': 1, 'relative_dim': 13, 'sturm_bound': 180, 'trace_bound': 7, 'trace_display': [1, 0, 0, -4], 'traces': [13, 1, 0, 13, 0, 0, -4, 1, 0, -2, -8, 0, -4, 0, 0, 13, -2, 0, -4, 0, 0, 2, 4, 0, 13, 10, 0, -4, 3, 0, -8, 1, 0, -6, 20, 0, 2, 4, 0, -2, 10, 0, -8, -8, 0, -4, -16, 0, 37, 23, 0, -4, 16, 0, -24, 0, 0, -1, 4, 0, -10, -14, 0, 13, -10, 0, -28, -2, 0, 24, -16, 0, -26, -22, 0, -4, -24, 0, 0, 0, 0, -6, -20, 0, -8, -2, 0, 2, 2, 0, 44, 4, 0, 2, -48, 0, -50, 25, 0, 13, -10, 0, -24, 10, 0, -2, -36, 0, 16, -10, 0, -4, 22, 0, -28, 3, 0, 24, 24, 0, 27, -10, 0, -8, 18, 0, -8, 1, 0, 20, -20, 0, 32, -12, 0, -6, 50, 0, 8, 20, 0, -52, 72, 0, -4, -22, 0, 2, -52, 0, -36, 4, 0, -44, 36, 0, -46, -10, 0, -2, -16, 0, 16, 10, 0, -32, -24, 0, -3, 16, 0, -8, 74, 0, -56, -8, 0, -22, 72, 0, 44, -24, 0, -4, -4, 0, 20, -16, 0, 8, -48, 0, -2, 30, 0, 37, -46, 0, 44, 23, 0, 10, 4, 0, 60, -44, 0, -4, 0, 0, 40, 16, 0, -28, 40, 0, 64, -6, 0, -24, 16, 0, 80, 0, 0, 6, -16, 0, -22, -36, 0, -1, 24, 0, -68, 4, 0, -16, -68, 0, -8, 29, 0, -10, 56, 0, 96, -14, 0, 24, -24, 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12, 0, 8, -38, 0, 148, -48, 0, 80, -12, 0, -30, -164, 0, -2, -82, 0, -80, 30, 0, 66, -16, 0, -36, -72, 0, 37, 12, 0, 60, -46, 0, -102, 56, 0, 80, 98, 0, 44, 34, 0, 180, 23, 0, -66, -24, 0, -136, -2, 0, 10, -78, 0, 136, 4, 0, -72, 104, 0, -96, -70, 0, 60, -20, 0, 160, -44, 0, -120, 8, 0, 6, -20, 0, -4, -130, 0, 128, 0, 0, 0, 72, 0, 13, -66, 0, 40, -14, 0, -24, 16, 0, -38, -16, 0, 126, -72, 0, -28, 108, 0, -80, 40, 0, 20, 0, 0, 120, 82, 0, 64, 38, 0, 24, -6, 0, 32, -36, 0, 16, 20, 0, -24, -138, 0, -8, 16, 0, 92, -176, 0, -80, 120, 0, 80, 56, 0, -24, 0, 0, 14, -4, 0, -264, -144, 0, 6, 38, 0, -52, -16, 0, -304, 104, 0, -12, 34, 0, -22, -64, 0, -24, -36, 0, -22, 88, 0, 46, -100, 0, -1, -54, 0, -228, 24, 0, -6, -4, 0, 42, -48, 0, -68, 16, 0, 232, 4, 0, -24, -120, 0, 92, -36, 0, -16, -72, 0, 104, -68, 0, 14, -32, 0, -169, -76, 0, -8, 12, 0, 216, 29, 0, 64, 84, 0, -136, 128, 0, -10, -132, 0, -116, 56, 0, -162, -48, 0, -16, 14, 0, 96, 124, 0, -8, -14, 0, -72, -124, 0, 26, -8, 0, 24], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 365228
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '58.2.a.b', 'target_level': 58, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 365229
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '464.2.a.e', 'target_level': 464, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 365230
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '522.2.a.b', 'target_level': 522, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 365231
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1450.2.a.c', 'target_level': 1450, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 365232
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1450.2.b.b', 'target_level': 1450, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 365233
{'conductor': 87, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1682.2.a.d', 'target_level': 1682, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '87.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 365234
{'conductor': 87, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1682.2.b.a', 'target_level': 1682, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '87.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 365235
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1856.2.a.f', 'target_level': 1856, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 365236
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1856.2.a.k', 'target_level': 1856, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 365237
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2842.2.a.e', 'target_level': 2842, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 365238
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4176.2.a.n', 'target_level': 4176, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 365239
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '7018.2.a.a', 'target_level': 7018, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 365240
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '522.2.a.b', 'source_level': 522, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '9802.2.a.a', 'target_level': 9802, 'twist_class_label': '58.2.a.b', 'twist_class_level': 58, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 998675
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 2}
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id: 998676
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 3}
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id: 998677
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 5}
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id: 998678
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 7}
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id: 998679
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 11}
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id: 998680
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 13}
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id: 998681
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 17}
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id: 998682
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 19}
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id: 998683
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 23}
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id: 998684
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 29}
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id: 998685
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 31}
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id: 998686
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 37}
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id: 998687
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 41}
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id: 998688
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 43}
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id: 998689
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 47}
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id: 998690
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 53}
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id: 998691
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 59}
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id: 998692
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 61}
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id: 998693
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 67}
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id: 998694
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 71}
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id: 998695
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 73}
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id: 998696
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 79}
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id: 998697
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 83}
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id: 998698
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 89}
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id: 998699
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660925450, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '522.2.a.b', 'level': 522, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 16152930
{'hecke_orbit_code': 4503599660925450, 'n': 1, 'trace_an': 1}
-
id: 16152931
{'hecke_orbit_code': 4503599660925450, 'n': 2, 'trace_an': -1}
-
id: 16152932
{'hecke_orbit_code': 4503599660925450, 'n': 3, 'trace_an': 0}
-
id: 16152933
{'hecke_orbit_code': 4503599660925450, 'n': 4, 'trace_an': 1}
-
id: 16152934
{'hecke_orbit_code': 4503599660925450, 'n': 5, 'trace_an': -1}
-
id: 16152935
{'hecke_orbit_code': 4503599660925450, 'n': 6, 'trace_an': 0}
-
id: 16152936
{'hecke_orbit_code': 4503599660925450, 'n': 7, 'trace_an': -2}
-
id: 16152937
{'hecke_orbit_code': 4503599660925450, 'n': 8, 'trace_an': -1}
-
id: 16152938
{'hecke_orbit_code': 4503599660925450, 'n': 9, 'trace_an': 0}
-
id: 16152939
{'hecke_orbit_code': 4503599660925450, 'n': 10, 'trace_an': 1}
-
id: 16152940
{'hecke_orbit_code': 4503599660925450, 'n': 11, 'trace_an': 3}
-
id: 16152941
{'hecke_orbit_code': 4503599660925450, 'n': 12, 'trace_an': 0}
-
id: 16152942
{'hecke_orbit_code': 4503599660925450, 'n': 13, 'trace_an': -1}
-
id: 16152943
{'hecke_orbit_code': 4503599660925450, 'n': 14, 'trace_an': 2}
-
id: 16152944
{'hecke_orbit_code': 4503599660925450, 'n': 15, 'trace_an': 0}
-
id: 16152945
{'hecke_orbit_code': 4503599660925450, 'n': 16, 'trace_an': 1}
-
id: 16152946
{'hecke_orbit_code': 4503599660925450, 'n': 17, 'trace_an': -8}
-
id: 16152947
{'hecke_orbit_code': 4503599660925450, 'n': 18, 'trace_an': 0}
-
id: 16152948
{'hecke_orbit_code': 4503599660925450, 'n': 19, 'trace_an': 0}
-
id: 16152949
{'hecke_orbit_code': 4503599660925450, 'n': 20, 'trace_an': -1}
-
id: 16152950
{'hecke_orbit_code': 4503599660925450, 'n': 21, 'trace_an': 0}
-
id: 16152951
{'hecke_orbit_code': 4503599660925450, 'n': 22, 'trace_an': -3}
-
id: 16152952
{'hecke_orbit_code': 4503599660925450, 'n': 23, 'trace_an': -4}
-
id: 16152953
{'hecke_orbit_code': 4503599660925450, 'n': 24, 'trace_an': 0}
-
id: 16152954
{'hecke_orbit_code': 4503599660925450, 'n': 25, 'trace_an': -4}
-
id: 16152955
{'hecke_orbit_code': 4503599660925450, 'n': 26, 'trace_an': 1}
-
id: 16152956
{'hecke_orbit_code': 4503599660925450, 'n': 27, 'trace_an': 0}
-
id: 16152957
{'hecke_orbit_code': 4503599660925450, 'n': 28, 'trace_an': -2}
-
id: 16152958
{'hecke_orbit_code': 4503599660925450, 'n': 29, 'trace_an': 1}
-
id: 16152959
{'hecke_orbit_code': 4503599660925450, 'n': 30, 'trace_an': 0}
-
id: 16152960
{'hecke_orbit_code': 4503599660925450, 'n': 31, 'trace_an': -3}
-
id: 16152961
{'hecke_orbit_code': 4503599660925450, 'n': 32, 'trace_an': -1}
-
id: 16152962
{'hecke_orbit_code': 4503599660925450, 'n': 33, 'trace_an': 0}
-
id: 16152963
{'hecke_orbit_code': 4503599660925450, 'n': 34, 'trace_an': 8}
-
id: 16152964
{'hecke_orbit_code': 4503599660925450, 'n': 35, 'trace_an': 2}
-
id: 16152965
{'hecke_orbit_code': 4503599660925450, 'n': 36, 'trace_an': 0}
-
id: 16152966
{'hecke_orbit_code': 4503599660925450, 'n': 37, 'trace_an': 8}
-
id: 16152967
{'hecke_orbit_code': 4503599660925450, 'n': 38, 'trace_an': 0}
-
id: 16152968
{'hecke_orbit_code': 4503599660925450, 'n': 39, 'trace_an': 0}
-
id: 16152969
{'hecke_orbit_code': 4503599660925450, 'n': 40, 'trace_an': 1}
-
id: 16152970
{'hecke_orbit_code': 4503599660925450, 'n': 41, 'trace_an': -2}
-
id: 16152971
{'hecke_orbit_code': 4503599660925450, 'n': 42, 'trace_an': 0}
-
id: 16152972
{'hecke_orbit_code': 4503599660925450, 'n': 43, 'trace_an': -11}
-
id: 16152973
{'hecke_orbit_code': 4503599660925450, 'n': 44, 'trace_an': 3}
-
id: 16152974
{'hecke_orbit_code': 4503599660925450, 'n': 45, 'trace_an': 0}
-
id: 16152975
{'hecke_orbit_code': 4503599660925450, 'n': 46, 'trace_an': 4}
-
id: 16152976
{'hecke_orbit_code': 4503599660925450, 'n': 47, 'trace_an': -13}
-
id: 16152977
{'hecke_orbit_code': 4503599660925450, 'n': 48, 'trace_an': 0}
-
id: 16152978
{'hecke_orbit_code': 4503599660925450, 'n': 49, 'trace_an': -3}
-
id: 16152979
{'hecke_orbit_code': 4503599660925450, 'n': 50, 'trace_an': 4}
-
id: 16152980
{'hecke_orbit_code': 4503599660925450, 'n': 51, 'trace_an': 0}
-
id: 16152981
{'hecke_orbit_code': 4503599660925450, 'n': 52, 'trace_an': -1}
-
id: 16152982
{'hecke_orbit_code': 4503599660925450, 'n': 53, 'trace_an': 11}
-
id: 16152983
{'hecke_orbit_code': 4503599660925450, 'n': 54, 'trace_an': 0}
-
id: 16152984
{'hecke_orbit_code': 4503599660925450, 'n': 55, 'trace_an': -3}
-
id: 16152985
{'hecke_orbit_code': 4503599660925450, 'n': 56, 'trace_an': 2}
-
id: 16152986
{'hecke_orbit_code': 4503599660925450, 'n': 57, 'trace_an': 0}
-
id: 16152987
{'hecke_orbit_code': 4503599660925450, 'n': 58, 'trace_an': -1}
-
id: 16152988
{'hecke_orbit_code': 4503599660925450, 'n': 59, 'trace_an': 0}
-
id: 16152989
{'hecke_orbit_code': 4503599660925450, 'n': 60, 'trace_an': 0}
-
id: 16152990
{'hecke_orbit_code': 4503599660925450, 'n': 61, 'trace_an': -8}
-
id: 16152991
{'hecke_orbit_code': 4503599660925450, 'n': 62, 'trace_an': 3}
-
id: 16152992
{'hecke_orbit_code': 4503599660925450, 'n': 63, 'trace_an': 0}
-
id: 16152993
{'hecke_orbit_code': 4503599660925450, 'n': 64, 'trace_an': 1}
-
id: 16152994
{'hecke_orbit_code': 4503599660925450, 'n': 65, 'trace_an': 1}
-
id: 16152995
{'hecke_orbit_code': 4503599660925450, 'n': 66, 'trace_an': 0}
-
id: 16152996
{'hecke_orbit_code': 4503599660925450, 'n': 67, 'trace_an': -12}
-
id: 16152997
{'hecke_orbit_code': 4503599660925450, 'n': 68, 'trace_an': -8}
-
id: 16152998
{'hecke_orbit_code': 4503599660925450, 'n': 69, 'trace_an': 0}
-
id: 16152999
{'hecke_orbit_code': 4503599660925450, 'n': 70, 'trace_an': -2}
-
id: 16153000
{'hecke_orbit_code': 4503599660925450, 'n': 71, 'trace_an': -2}
-
id: 16153001
{'hecke_orbit_code': 4503599660925450, 'n': 72, 'trace_an': 0}
-
id: 16153002
{'hecke_orbit_code': 4503599660925450, 'n': 73, 'trace_an': 4}
-
id: 16153003
{'hecke_orbit_code': 4503599660925450, 'n': 74, 'trace_an': -8}
-
id: 16153004
{'hecke_orbit_code': 4503599660925450, 'n': 75, 'trace_an': 0}
-
id: 16153005
{'hecke_orbit_code': 4503599660925450, 'n': 76, 'trace_an': 0}
-
id: 16153006
{'hecke_orbit_code': 4503599660925450, 'n': 77, 'trace_an': -6}
-
id: 16153007
{'hecke_orbit_code': 4503599660925450, 'n': 78, 'trace_an': 0}
-
id: 16153008
{'hecke_orbit_code': 4503599660925450, 'n': 79, 'trace_an': 15}
-
id: 16153009
{'hecke_orbit_code': 4503599660925450, 'n': 80, 'trace_an': -1}
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