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mf_newforms • Show schema
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{'Nk2': 1656, 'analytic_conductor': 3.305806643681008, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [23, -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': [414, 1, [47, 235], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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, [2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 33554846, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '414.2.a.a', 'level': 414, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'minimal_twist': '138.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}-2q^{5}-q^{8}+2q^{10}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/414/a'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '414.2.a', 'trace_display': [-1, 0, -2, 0], 'trace_hash': 1666331856633445933, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.961', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.884', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.662', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, 'traces': [1, -1, 0, 1, -2, 0, 0, -1, 0, 2, 0, 0, -2, 0, 0, 1, -2, 0, -8, -2, 0, 0, 1, 0, -1, 2, 0, 0, 2, 0, -8, -1, 0, 2, 0, 0, 2, 8, 0, 2, -10, 0, 8, 0, 0, -1, -8, 0, -7, 1, 0, -2, -2, 0, 0, 0, 0, -2, 4, 0, 2, 8, 0, 1, 4, 0, 8, -2, 0, 0, 0, 0, -6, -2, 0, -8, 0, 0, 8, -2, 0, 10, 16, 0, 4, -8, 0, 0, -18, 0, 0, 1, 0, 8, 16, 0, 10, 7, 0, -1, 18, 0, 8, 2, 0, 2, -8, 0, 2, 0, 0, 0, 6, 0, -2, 2, 0, -4, 0, 0, -11, -2, 0, -8, 12, 0, 16, -1, 0, -4, 12, 0, 0, -8, 0, 2, -10, 0, -20, 0, 0, 0, 0, 0, -4, 6, 0, 2, -2, 0, 16, 8, 0, 0, 16, 0, -22, -8, 0, 2, 0, 0, -4, -10, 0, -16, 0, 0, -9, -4, 0, 8, -14, 0, 0, 0, 0, 18, -12, 0, 10, 0, 0, -1, -4, 0, 0, -8, 0, -16, -24, 0, -14, -10, 0, -7, -22, 0, 16, 1, 0, -18, 0, 0, 20, -8, 0, -2, 0, 0, -12, -2, 0, 8, -16, 0, 0, -2, 0, 0, 4, 0, 24, 0, 0, -6, 8, 0, -6, 2, 0, -2, 22, 0, 16, 4, 0, 0, 0, 0, -22, 11, 0, 2, 14, 0, 16, 8, 0, -12, -8, 0, 0, -16, 0, 1, -18, 0, 0, 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50, 0, -32, -8, 0, 0, -24, 0, 22, 32, 0, -2, 14, 0, 0, 0, 0, 0, 56, 0, -25, 30, 0, -12, 18, 0, 0, -2, 0, -2, 2, 0, -26, 0, 0, 8, 54, 0, 36, -16, 0, -24, -32, 0, 28, 22, 0, 0, 0, 0, -16, -2, 0, 8, 0, 0, 22, 8, 0, 0, 22, 0, 4, 4, 0, 4, 48, 0, 0, -36, 0, 24, 64, 0, 24, 0, 0, -30, -16, 0, 4, 0, 0, -6, -20, 0, 24, 8, 0, 0, -40, 0, 0, -18, 0, -6, 0, 0, 16, 2, 0, 30, 0, 0, -2, 0, 0, -2, -34, 0, 56, 22, 0, 0, 0, 0, -22, 0, 0, 16, -58, 0, -10, 4, 0, 0, -44, 0, 12, -8, 0, 0, 22, 0, 48, 0, 0, 0, 0, 0, 33, 4, 0, -22, 28, 0, -32, 11, 0, 20, 48, 0, 0, 8, 0, 2, 14, 0, 0, 14, 0, 4, -48, 0, 44, 4, 0, 16, 8, 0, -56, 8, 0, 0, -32, 0, 14, 20, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [0], [1], [-2], [0], [0], [-1], [0], [2], [0], [0], [-2], [0], [0], [1], [-2], [0], [-8], [-2], [0], [0], [1], [0], [-1], [2], [0], [0], [2], [0], [-8], [-1], [0], [2], [0], [0], [2], [8], [0], [2], [-10], [0], [8], [0], [0], [-1], [-8], [0], [-7], [1], [0], [-2], [-2], [0], [0], [0], [0], [-2], [4], [0], [2], [8], [0], [1], [4], [0], [8], [-2], [0], [0], [0], [0], [-6], [-2], [0], [-8], [0], [0], [8], [-2], [0], [10], [16], [0], [4], [-8], [0], [0], [-18], [0], [0], [1], [0], [8], [16], [0], [10], [7], [0], [-1]], 'ap': [[-1], [0], [-2], [0], [0], [-2], [-2], [-8], [1], [2], [-8], [2], [-10], [8], [-8], [-2], [4], [2], [8], [0], [-6], [8], [16], [-18], [10], [18], [8], [-8], [2], [6], [16], [12], [-10], [-20], [-2], [16], [-22], [-4], [0], [-14], [-12], [10], [-24], [-14], [-22], [16], [-12], [24], [8], [-6], [22], [0], [-22], [-8], [-18], [-8], [2], [-16], [-2], [-2], [24], [30], [-4], [8], [2], [-14], [-4], [-30], [12], [6], [14], [0], [-24], [18], [-16], [-16], [22], [30], [14], [-22], [0], [-30], [24], [-22], [-8], [-4], [30], [18], [-30], [0], [0], [0], [-8], [-4], [-20], [32], [-30], [-26], [0], [-10], [-44], [-2], [24], [-10], [16], [18], [-12], [-34], [24], [42], [-24], [10], [-18], [-40], [24], [-18], [16], [-24], [10], [-32], [42], [18], [-2], [4], [20], [-18], [-14], [-48], [0], [-6], [-20], [24], [16], [-38], [-42], [26], [38], [-32], [-2], [38], [-4], [50], [-32], [-24], [22], [56], [-26], [54], [36], [-32], [22], [22], [4], [48], [24], [-40], [16], [-34], [-22], [-58], [-44], [22], [-32], [48], [14], [-48], [-56], [14]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 33554846, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '414.2.a.a', 'level': 414, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [23, 1]], 1, 1], [[[2, -1], [3, -1], [23, -1]], 2, 2], [[[2, 1], [3, -1], [23, 1]], 2, 1], [[[2, 1], [3, -1], [23, -1]], 1, 1], [[[2, -1], [3, 1], [23, 1]], 2, 1], [[[2, 1], [3, 1], [23, -1]], 2, 1]], 'ALdims': [0, 2, 2, 1, 2, 0, 1, 2], 'Nk2': 1656, 'analytic_conductor': 3.305806643681008, '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': [414, 1, [47, 235], [1, 1]], 'conrey_index': 1, 'cusp_dim': 65, 'dim': 10, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 33554846, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2], 'label': '414.2.a', 'level': 414, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'mf_dim': 80, 'mf_new_dim': 10, 'num_forms': 7, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 10, 'sturm_bound': 144, 'trace_bound': 5, 'trace_display': [0, 0, -2, 4], 'traces': [10, 0, 0, 10, -2, 0, 4, 0, 0, 2, 10, 0, -4, -4, 0, 10, 8, 0, 2, -2, 0, -6, 0, 0, 18, 0, 0, 4, 0, 0, 16, 0, 0, -12, 32, 0, 2, 10, 0, 2, -16, 0, 6, 10, 0, -2, -8, 0, 10, 4, 0, -4, -18, 0, -16, -4, 0, -20, -8, 0, 6, 8, 0, 10, -12, 0, -22, 8, 0, 0, 0, 0, -16, -34, 0, 2, -24, 0, -28, -2, 0, -28, -34, 0, -60, 6, 0, -6, -12, 0, -24, 0, 0, 0, -8, 0, 8, -16, 0, 18, 52, 0, -32, 0, 0, -6, -18, 0, -18, 24, 0, 4, 36, 0, -2, 0, 0, -16, -8, 0, -10, -22, 0, 16, -12, 0, 32, 0, 0, -36, 48, 0, -24, -22, 0, -12, -40, 0, -24, 32, 0, 24, 12, 0, 12, 4, 0, 2, 30, 0, 32, 10, 0, 8, 56, 0, 42, -36, 0, 2, 4, 0, -36, -16, 0, 22, -16, 0, 38, -20, 0, 6, 24, 0, 12, 10, 0, 0, -4, 0, 30, 56, 0, -2, 20, 0, 84, -8, 0, 64, -36, 0, -36, -12, 0, 10, -40, 0, 68, 4, 0, 0, -8, 0, 4, 24, 0, -4, 28, 0, 0, -18, 0, 54, -104, 0, 48, -30, 0, -16, 0, 0, 0, -4, 0, 0, 26, 0, 94, 10, 0, -20, 20, 0, 0, -8, 0, -24, 56, 0, -8, 12, 0, 6, -2, 0, 28, 8, 0, -12, 22, 0, 6, 16, 0, 10, -40, 0, -32, -12, 0, -8, -40, 0, -44, 72, 0, -22, 48, 0, 104, 8, 0, 4, -42, 0, -8, 64, 0, 0, 36, 0, -18, 0, 0, 28, 56, 0, -2, 20, 0, -16, 6, 0, 24, -34, 0, -38, 0, 0, -8, -8, 0, 2, 52, 0, 4, -24, 0, 48, 8, 0, 16, 46, 0, -28, -80, 0, -52, -2, 0, -4, 4, 0, -180, -12, 0, -28, -16, 0, -24, -34, 0, 8, -24, 0, -68, -32, 0, -60, 40, 0, -88, 6, 0, 36, -52, 0, 40, -92, 0, -6, -44, 0, 64, -12, 0, 4, -44, 0, 38, -6, 0, -24, -12, 0, -4, 0, 0, -76, -16, 0, -126, -28, 0, 0, 64, 0, -14, -8, 0, 28, -40, 0, -80, 56, 0, 8, -30, 0, -4, -16, 0, 4, 0, 0, 108, -36, 0, 18, 40, 0, -160, 52, 0, 40, 72, 0, -68, -20, 0, -32, -80, 0, 0, 0, 0, -60, 46, 0, 34, 40, 0, -6, 32, 0, 48, -18, 0, 16, 44, 0, -136, -64, 0, -18, -2, 0, 32, 24, 0, 104, -36, 0, 4, -56, 0, 4, 0, 0, -12, 36, 0, 42, -64, 0, 0, -6, 0, -2, -32, 0, 56, 0, 0, -16, 54, 0, -24, 8, 0, -16, -124, 0, 6, -8, 0, -24, 24, 0, 172, 68, 0, -10, -84, 0, -16, -22, 0, -94, -4, 0, -88, -68, 0, 16, 80, 0, -60, -12, 0, 78, 44, 0, -4, 14, 0, 32, 32, 0, 24, 0, 0, -36, 32, 0, 48, 16, 0, -36, -88, 0, -86, 48, 0, 120, 32, 0, 10, -28, 0, -24, 64, 0, -112, -22, 0, 44, 42, 0, 104, 88, 0, -12, -12, 0, 64, -40, 0, -82, 60, 0, -16, 60, 0, -24, 2, 0, -44, 32, 0, -32, 42, 0, 116, 6, 0, 24, -80, 0, 74, 12, 0, 8, -20, 0, 128, -32, 0, 12, 104, 0, -16, 4, 0, 50, 32, 0, 96, 120, 0, 2, -24, 0, -16, 30, 0, 4, 8, 0, 64, 8, 0, 32, 46, 0, 48, 10, 0, 68, 0, 0, 38, -52, 0, 8, 12, 0, 46, 56, 0, -24, -88, 0, -2, -68, 0, 42, 60, 0, 16, -36, 0, -20, -80, 0, -4, -52, 0, 2, -8, 0, 158, 4, 0, -92, 0, 0, 136, 8, 0, -36, 76, 0, -56, -16, 0, -64, -106, 0, 158, 48, 0, 22, -112, 0, 20, -16, 0, 112, 48, 0, -64, 24, 0, 38, 54, 0, -40, -20, 0, -16, -40, 0, 148, -8, 0, 6, -44, 0, 112, 24, 0, -12, 104, 0, 72, 76, 0, 12, -6, 0, -112, 10, 0, -32, 24, 0, -118, -40, 0, 0, -8, 0, 32, -4, 0, -28, 0, 0, -64, -148, 0, 30, -88, 0, -12, 56, 0, -28, -52, 0, -78, 20, 0, -2, -4, 0, -124, 20, 0, -64, 64, 0, -76, -42, 0, 84, -152, 0, 32, -8, 0, -120, -24, 0, -74, 50, 0, 64, -20, 0, 16, -36, 0, 56, 48, 0, -8, -96, 0, -36, 138, 0, 224, -12, 0, 54, 100, 0, -64, 8, 0, 10, 116, 0, -186, -40, 0, -48, -56, 0, -92, -32, 0, 68, -38, 0, 32, 4, 0, 36, -92, 0, -48, 0, 0, 0, -4, 0, 128, -8, 0, 32, 40, 0, 28, 72, 0, 4, -68, 0, -128, 24, 0, 80, -18, 0, -80, 72, 0, -4, 136, 0, -160, 28, 0, 6, 112, 0, 6, 70, 0, 0, 50, 0, -188, -18, 0, -124, -22, 0, -12, -16, 0, 54, 36, 0, 100, -104, 0, 28, -56, 0, -180, 36, 0, 48, 8, 0, -52, -30, 0, -2, 80, 0, 16, -48, 0, -16, -28, 0, 16, 0, 0, -140, 56, 0, -96, -52, 0, 0, 72, 0, 56, -4, 0, -156, -128, 0, 52, -60, 0, 0, 84, 0, -106, 26, 0, -96, -148, 0, -148, -100, 0, 94, 96, 0, -172, 10, 0, 140, -80, 0, -178, -40, 0, -20, 64, 0, -30, 20, 0, -106, 0, 0, -140, 152, 0, 0, -226, 0, 12, -8, 0, -100, -116, 0, -128, 22, 0, -24, 0, 0, 208, 56, 0, -184, -104, 0, 58, -28, 0, -8, -116, 0, -24, 12, 0, 84, 130, 0, 80, 32, 0, 6, -96, 0, 44, -2, 0, 20, -68, 0, 204, 0, 0, 28, 2, 0, -72, 8, 0, -32, -64, 0, -32, -52, 0, -12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 306540
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '138.2.a.c', 'target_level': 138, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 306541
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '414.2.a.a', 'target_level': 414, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 306542
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1104.2.a.g', 'target_level': 1104, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 306543
{'conductor': 69, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3174.2.a.e', 'target_level': 3174, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '69.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 306544
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3312.2.a.d', 'target_level': 3312, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 306545
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3450.2.a.k', 'target_level': 3450, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 306546
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3450.2.d.f', 'target_level': 3450, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 306547
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4416.2.a.c', 'target_level': 4416, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 306548
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '4416.2.a.s', 'target_level': 4416, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 306549
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '6762.2.a.bg', 'target_level': 6762, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 306550
{'conductor': 23, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '414.2.a.a', 'source_level': 414, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '9522.2.a.d', 'target_level': 9522, 'twist_class_label': '138.2.a.c', 'twist_class_level': 138, 'twisting_char_label': '23.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 854025
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 2}
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id: 854026
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 3}
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id: 854027
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 5}
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id: 854028
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 7}
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id: 854029
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 11}
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id: 854030
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 13}
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id: 854031
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 17}
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id: 854032
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 19}
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id: 854033
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 23}
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id: 854034
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 29}
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id: 854035
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 31}
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id: 854036
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 37}
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id: 854037
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 41}
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id: 854038
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 43}
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id: 854039
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 47}
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id: 854040
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 53}
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id: 854041
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 59}
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id: 854042
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 61}
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id: 854043
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 67}
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id: 854044
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 71}
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id: 854045
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 73}
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id: 854046
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 79}
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id: 854047
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 83}
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id: 854048
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 89}
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id: 854049
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 33554846, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '414.2.a.a', 'level': 414, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 395000
{'hecke_orbit_code': 33554846, 'n': 1, 'trace_an': 1}
-
id: 395001
{'hecke_orbit_code': 33554846, 'n': 2, 'trace_an': -1}
-
id: 395002
{'hecke_orbit_code': 33554846, 'n': 3, 'trace_an': 0}
-
id: 395003
{'hecke_orbit_code': 33554846, 'n': 4, 'trace_an': 1}
-
id: 395004
{'hecke_orbit_code': 33554846, 'n': 5, 'trace_an': -2}
-
id: 395005
{'hecke_orbit_code': 33554846, 'n': 6, 'trace_an': 0}
-
id: 395006
{'hecke_orbit_code': 33554846, 'n': 7, 'trace_an': 0}
-
id: 395007
{'hecke_orbit_code': 33554846, 'n': 8, 'trace_an': -1}
-
id: 395008
{'hecke_orbit_code': 33554846, 'n': 9, 'trace_an': 0}
-
id: 395009
{'hecke_orbit_code': 33554846, 'n': 10, 'trace_an': 2}
-
id: 395010
{'hecke_orbit_code': 33554846, 'n': 11, 'trace_an': 0}
-
id: 395011
{'hecke_orbit_code': 33554846, 'n': 12, 'trace_an': 0}
-
id: 395012
{'hecke_orbit_code': 33554846, 'n': 13, 'trace_an': -2}
-
id: 395013
{'hecke_orbit_code': 33554846, 'n': 14, 'trace_an': 0}
-
id: 395014
{'hecke_orbit_code': 33554846, 'n': 15, 'trace_an': 0}
-
id: 395015
{'hecke_orbit_code': 33554846, 'n': 16, 'trace_an': 1}
-
id: 395016
{'hecke_orbit_code': 33554846, 'n': 17, 'trace_an': -2}
-
id: 395017
{'hecke_orbit_code': 33554846, 'n': 18, 'trace_an': 0}
-
id: 395018
{'hecke_orbit_code': 33554846, 'n': 19, 'trace_an': -8}
-
id: 395019
{'hecke_orbit_code': 33554846, 'n': 20, 'trace_an': -2}
-
id: 395020
{'hecke_orbit_code': 33554846, 'n': 21, 'trace_an': 0}
-
id: 395021
{'hecke_orbit_code': 33554846, 'n': 22, 'trace_an': 0}
-
id: 395022
{'hecke_orbit_code': 33554846, 'n': 23, 'trace_an': 1}
-
id: 395023
{'hecke_orbit_code': 33554846, 'n': 24, 'trace_an': 0}
-
id: 395024
{'hecke_orbit_code': 33554846, 'n': 25, 'trace_an': -1}
-
id: 395025
{'hecke_orbit_code': 33554846, 'n': 26, 'trace_an': 2}
-
id: 395026
{'hecke_orbit_code': 33554846, 'n': 27, 'trace_an': 0}
-
id: 395027
{'hecke_orbit_code': 33554846, 'n': 28, 'trace_an': 0}
-
id: 395028
{'hecke_orbit_code': 33554846, 'n': 29, 'trace_an': 2}
-
id: 395029
{'hecke_orbit_code': 33554846, 'n': 30, 'trace_an': 0}
-
id: 395030
{'hecke_orbit_code': 33554846, 'n': 31, 'trace_an': -8}
-
id: 395031
{'hecke_orbit_code': 33554846, 'n': 32, 'trace_an': -1}
-
id: 395032
{'hecke_orbit_code': 33554846, 'n': 33, 'trace_an': 0}
-
id: 395033
{'hecke_orbit_code': 33554846, 'n': 34, 'trace_an': 2}
-
id: 395034
{'hecke_orbit_code': 33554846, 'n': 35, 'trace_an': 0}
-
id: 395035
{'hecke_orbit_code': 33554846, 'n': 36, 'trace_an': 0}
-
id: 395036
{'hecke_orbit_code': 33554846, 'n': 37, 'trace_an': 2}
-
id: 395037
{'hecke_orbit_code': 33554846, 'n': 38, 'trace_an': 8}
-
id: 395038
{'hecke_orbit_code': 33554846, 'n': 39, 'trace_an': 0}
-
id: 395039
{'hecke_orbit_code': 33554846, 'n': 40, 'trace_an': 2}
-
id: 395040
{'hecke_orbit_code': 33554846, 'n': 41, 'trace_an': -10}
-
id: 395041
{'hecke_orbit_code': 33554846, 'n': 42, 'trace_an': 0}
-
id: 395042
{'hecke_orbit_code': 33554846, 'n': 43, 'trace_an': 8}
-
id: 395043
{'hecke_orbit_code': 33554846, 'n': 44, 'trace_an': 0}
-
id: 395044
{'hecke_orbit_code': 33554846, 'n': 45, 'trace_an': 0}
-
id: 395045
{'hecke_orbit_code': 33554846, 'n': 46, 'trace_an': -1}
-
id: 395046
{'hecke_orbit_code': 33554846, 'n': 47, 'trace_an': -8}
-
id: 395047
{'hecke_orbit_code': 33554846, 'n': 48, 'trace_an': 0}
-
id: 395048
{'hecke_orbit_code': 33554846, 'n': 49, 'trace_an': -7}
-
id: 395049
{'hecke_orbit_code': 33554846, 'n': 50, 'trace_an': 1}
-
id: 395050
{'hecke_orbit_code': 33554846, 'n': 51, 'trace_an': 0}
-
id: 395051
{'hecke_orbit_code': 33554846, 'n': 52, 'trace_an': -2}
-
id: 395052
{'hecke_orbit_code': 33554846, 'n': 53, 'trace_an': -2}
-
id: 395053
{'hecke_orbit_code': 33554846, 'n': 54, 'trace_an': 0}
-
id: 395054
{'hecke_orbit_code': 33554846, 'n': 55, 'trace_an': 0}
-
id: 395055
{'hecke_orbit_code': 33554846, 'n': 56, 'trace_an': 0}
-
id: 395056
{'hecke_orbit_code': 33554846, 'n': 57, 'trace_an': 0}
-
id: 395057
{'hecke_orbit_code': 33554846, 'n': 58, 'trace_an': -2}
-
id: 395058
{'hecke_orbit_code': 33554846, 'n': 59, 'trace_an': 4}
-
id: 395059
{'hecke_orbit_code': 33554846, 'n': 60, 'trace_an': 0}
-
id: 395060
{'hecke_orbit_code': 33554846, 'n': 61, 'trace_an': 2}
-
id: 395061
{'hecke_orbit_code': 33554846, 'n': 62, 'trace_an': 8}
-
id: 395062
{'hecke_orbit_code': 33554846, 'n': 63, 'trace_an': 0}
-
id: 395063
{'hecke_orbit_code': 33554846, 'n': 64, 'trace_an': 1}
-
id: 395064
{'hecke_orbit_code': 33554846, 'n': 65, 'trace_an': 4}
-
id: 395065
{'hecke_orbit_code': 33554846, 'n': 66, 'trace_an': 0}
-
id: 395066
{'hecke_orbit_code': 33554846, 'n': 67, 'trace_an': 8}
-
id: 395067
{'hecke_orbit_code': 33554846, 'n': 68, 'trace_an': -2}
-
id: 395068
{'hecke_orbit_code': 33554846, 'n': 69, 'trace_an': 0}
-
id: 395069
{'hecke_orbit_code': 33554846, 'n': 70, 'trace_an': 0}
-
id: 395070
{'hecke_orbit_code': 33554846, 'n': 71, 'trace_an': 0}
-
id: 395071
{'hecke_orbit_code': 33554846, 'n': 72, 'trace_an': 0}
-
id: 395072
{'hecke_orbit_code': 33554846, 'n': 73, 'trace_an': -6}
-
id: 395073
{'hecke_orbit_code': 33554846, 'n': 74, 'trace_an': -2}
-
id: 395074
{'hecke_orbit_code': 33554846, 'n': 75, 'trace_an': 0}
-
id: 395075
{'hecke_orbit_code': 33554846, 'n': 76, 'trace_an': -8}
-
id: 395076
{'hecke_orbit_code': 33554846, 'n': 77, 'trace_an': 0}
-
id: 395077
{'hecke_orbit_code': 33554846, 'n': 78, 'trace_an': 0}
-
id: 395078
{'hecke_orbit_code': 33554846, 'n': 79, 'trace_an': 8}
-
id: 395079
{'hecke_orbit_code': 33554846, 'n': 80, 'trace_an': -2}
-
id: 395080
{'hecke_orbit_code': 33554846, 'n': 81, 'trace_an': 0}
-
id: 395081
{'hecke_orbit_code': 33554846, 'n': 82, 'trace_an': 10}
-
id: 395082
{'hecke_orbit_code': 33554846, 'n': 83, 'trace_an': 16}
-
id: 395083
{'hecke_orbit_code': 33554846, 'n': 84, 'trace_an': 0}
-
id: 395084
{'hecke_orbit_code': 33554846, 'n': 85, 'trace_an': 4}
-
id: 395085
{'hecke_orbit_code': 33554846, 'n': 86, 'trace_an': -8}
-
id: 395086
{'hecke_orbit_code': 33554846, 'n': 87, 'trace_an': 0}
-
id: 395087
{'hecke_orbit_code': 33554846, 'n': 88, 'trace_an': 0}
-
id: 395088
{'hecke_orbit_code': 33554846, 'n': 89, 'trace_an': -18}
-
id: 395089
{'hecke_orbit_code': 33554846, 'n': 90, 'trace_an': 0}
-
id: 395090
{'hecke_orbit_code': 33554846, 'n': 91, 'trace_an': 0}
-
id: 395091
{'hecke_orbit_code': 33554846, 'n': 92, 'trace_an': 1}
-
id: 395092
{'hecke_orbit_code': 33554846, 'n': 93, 'trace_an': 0}
-
id: 395093
{'hecke_orbit_code': 33554846, 'n': 94, 'trace_an': 8}
-
id: 395094
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id: 395981
{'hecke_orbit_code': 33554846, 'n': 982, 'trace_an': 4}
-
id: 395982
{'hecke_orbit_code': 33554846, 'n': 983, 'trace_an': -48}
-
id: 395983
{'hecke_orbit_code': 33554846, 'n': 984, 'trace_an': 0}
-
id: 395984
{'hecke_orbit_code': 33554846, 'n': 985, 'trace_an': 44}
-
id: 395985
{'hecke_orbit_code': 33554846, 'n': 986, 'trace_an': 4}
-
id: 395986
{'hecke_orbit_code': 33554846, 'n': 987, 'trace_an': 0}
-
id: 395987
{'hecke_orbit_code': 33554846, 'n': 988, 'trace_an': 16}
-
id: 395988
{'hecke_orbit_code': 33554846, 'n': 989, 'trace_an': 8}
-
id: 395989
{'hecke_orbit_code': 33554846, 'n': 990, 'trace_an': 0}
-
id: 395990
{'hecke_orbit_code': 33554846, 'n': 991, 'trace_an': -56}
-
id: 395991
{'hecke_orbit_code': 33554846, 'n': 992, 'trace_an': 8}
-
id: 395992
{'hecke_orbit_code': 33554846, 'n': 993, 'trace_an': 0}
-
id: 395993
{'hecke_orbit_code': 33554846, 'n': 994, 'trace_an': 0}
-
id: 395994
{'hecke_orbit_code': 33554846, 'n': 995, 'trace_an': -32}
-
id: 395995
{'hecke_orbit_code': 33554846, 'n': 996, 'trace_an': 0}
-
id: 395996
{'hecke_orbit_code': 33554846, 'n': 997, 'trace_an': 14}
-
id: 395997
{'hecke_orbit_code': 33554846, 'n': 998, 'trace_an': 20}
-
id: 395998
{'hecke_orbit_code': 33554846, 'n': 999, 'trace_an': 0}
-
id: 395999
{'hecke_orbit_code': 33554846, 'n': 1000, 'trace_an': -12}