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mf_newforms • Show schema
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [1050, 2, [701, 127, 451], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 799, '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': [[11, [-2, 1]], [13, [1, 0, 1]], [17, [1, 0, 1]], [19, [4, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532808996750362, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1050.2.g.j', 'level': 1050, '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, 5, 7], 'level_radical': 210, 'minimal_twist': '1050.2.a.e', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-iq^{2}+iq^{3}-q^{4}+q^{6}+iq^{7}+iq^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.2.g', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1836747680267334708, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.974', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.913', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [0, 1], [-1, 0], [0, 0], [1, 0], [0, 1], [0, 1], [-1, 0], [0, 0], [2, 0], [0, -1], [0, 1], [1, 0], [0, 0], [1, 0], [0, 1], [0, 1], [-4, 0], [0, 0], [-1, 0], [0, -2], [0, 7], [-1, 0], [0, 0], [1, 0], [0, -1], [0, -1], [-1, 0], [0, 0], [3, 0], [0, -1], [0, 2], [1, 0], [0, 0], [1, 0], [0, 6], [0, 4], [-1, 0], [0, 0], [-3, 0], [0, 1], [0, -1], [-2, 0], [0, 0], [7, 0], [0, 12], [0, 1], [-1, 0], [0, 0], [-1, 0], [0, -1], [0, 11], [-1, 0], [0, 0], [-1, 0], [0, -4], [0, 1], [3, 0], [0, 0], [5, 0], [0, -3], [0, -1], [-1, 0], [0, 0], [2, 0], [0, 12], [0, -1], [-7, 0], [0, 0], [4, 0], [0, -1], [0, -14], [6, 0], [0, 0], [4, 0], [0, 2], [0, 1], [2, 0], [0, 0], [1, 0], [0, 3], [0, -3], [1, 0], [0, 0], [-1, 0], [0, -1], [0, 2], [-10, 0], [0, 0], [-1, 0], [0, -7], [0, 3], [12, 0], [0, 0], [1, 0], [0, 10], [0, 1], [-2, 0], [0, 0]], 'ap': [[0, -1], [0, 1], [0, 0], [0, 1], [2, 0], [0, 1], [0, 1], [-4, 0], [0, 7], [-1, 0], [3, 0], [0, 6], [-3, 0], [0, -1], [0, 12], [0, 11], [3, 0], [5, 0], [0, 12], [4, 0], [0, -14], [2, 0], [0, -3], [-10, 0], [0, 10], [0, 0], [0, -17], [0, 18], [4, 0], [0, 6], [0, -14], [8, 0], [0, -4], [4, 0], [-5, 0], [22, 0], [0, -18], [0, -19], [0, 2], [0, -12], [-10, 0], [-18, 0], [-13, 0], [0, 2], [0, -27], [24, 0], [15, 0], [0, -13], [0, -7], [-14, 0], [0, 20], [24, 0], [-26, 0], [-15, 0], [0, 5], [0, 11], [-18, 0], [-20, 0], [0, 2], [0, 0], [0, -20], [0, 0], [0, 22], [34, 0], [0, 18], [0, 17], [-3, 0], [0, -27], [0, -26], [1, 0], [0, 10], [9, 0], [0, -13], [0, -4], [5, 0], [0, -20], [-22, 0], [0, -3], [16, 0], [14, 0], [25, 0], [34, 0], [27, 0], [0, 34], [-7, 0], [0, -12], [16, 0], [0, 17], [32, 0], [0, 36], [0, 39], [-8, 0], [0, -22], [30, 0], [27, 0], [0, -2], [0, 0], [39, 0], [0, -8], [-28, 0], [0, 15], [0, -18], [0, 41], [-14, 0], [19, 0], [0, -34], [0, 27], [0, -18], [45, 0], [28, 0], [0, -28], [0, 18], [0, -14], [-38, 0], [26, 0], [-26, 0], [0, 2], [0, -6], [0, 14], [6, 0], [-22, 0], [0, 27], [0, 20], [0, -6], [-42, 0], [-39, 0], [-4, 0], [34, 0], [0, 1], [0, 19], [-11, 0], [0, -3], [-20, 0], [0, 2], [34, 0], [-40, 0], [0, -20], [0, -38], [0, -42], [-20, 0], [-14, 0], [-38, 0], [0, -18], [0, 50], [-3, 0], [40, 0], [0, 43], [0, 46], [-40, 0], [0, 32], [0, -32], [5, 0], [0, 29], [0, -50], [0, 11], [-19, 0], [20, 0], [-25, 0], [0, 14], [0, 0], [0, 32], [0, -40], [0, 44], [-44, 0], [0, -42], [0, 24], [4, 0], [0, 2], [41, 0], [0, 0], [26, 0], [19, 0], [-5, 0], [0, -17], [4, 0], [63, 0], [28, 0], [-45, 0], [0, -9], [19, 0], [0, -42], [-39, 0], [0, -50], [0, -37], [0, 0], [-18, 0], [0, 64], [0, -54], [31, 0], [0, 0], [0, -16], [0, -28], [-24, 0], [30, 0], [0, 8], [0, -27], [5, 0], [0, 2], [0, 14], [0, 0], [18, 0], [37, 0], [0, -47], [-10, 0], [-9, 0], [0, 4], [17, 0], [0, 42], [-58, 0], [-10, 0], [0, 34], [-6, 0], [0, 34], [0, 35], [-2, 0], [64, 0], [0, 32], [6, 0], [0, 7], [0, -45], [32, 0], [-15, 0], [-54, 0], [0, -8], [0, -68], [-6, 0], [0, 30], [-24, 0], [0, -28], [-22, 0], [0, -8], [8, 0], [64, 0], [70, 0], [0, 12], [0, 4], [18, 0], [0, -66], [-70, 0], [50, 0], [0, 24], [22, 0], [0, 21], [70, 0], [0, 75], [-60, 0], [0, -15], [-20, 0], [-68, 0], [0, 32], [0, 44], [17, 0], [0, 7], [42, 0], [0, -44], [14, 0], [58, 0], [0, 50], [0, -74], [0, -14], [0, 52], [0, 72], [13, 0], [0, 2], [0, -51], [62, 0], [-1, 0], [45, 0], [0, -13], [0, 39], [55, 0], [0, 23], [0, -64], [4, 0], [0, -28], [0, 76], [0, -40], [10, 0], [55, 0], [-47, 0], [0, 76], [44, 0], [0, -48], [21, 0], [0, 4], [-5, 0], [0, -37], [0, -70], [19, 0], [-50, 0], [-50, 0], [0, 44], [0, -60], [-32, 0], [0, -66], [36, 0], [21, 0], [0, -2], [59, 0], [0, -50], [0, -20], [0, 53], [54, 0]], 'char_orbit_index': 7, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 40532808996750362, 'hecke_ring_character_values': [[701, [1, 0]], [127, [-1, 0]], [451, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1050.2.g.j', 'level': 1050, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': 1, 'char_values': [1050, 2, [701, 127, 451], [2, 1, 2]], 'conrey_index': 799, 'cusp_dim': 216, 'dim': 20, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19], 'hecke_orbit_code': 412350415898, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '1050.2.g', 'level': 1050, '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, 5, 7], 'level_radical': 210, 'mf_dim': 264, 'mf_new_dim': 20, 'num_forms': 10, 'prim_orbit_index': 2, 'relative_dim': 20, 'sturm_bound': 480, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [20, 0, 0, -20, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 20, 0, 0, -16, 0, 4, 0, 0, 0, 0, 24, 0, 0, -40, 0, -16, 0, 0, -8, 0, 20, 0, 0, 16, 0, 24, 0, 0, 0, 0, 8, 0, 0, -20, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 24, 0, 0, -20, 0, -16, 0, 0, -16, 0, 16, 0, 0, -8, 0, 16, 0, 0, 16, 0, 20, 0, 0, -4, 0, -48, 0, 0, -8, 0, 8, 0, 0, 48, 0, 0, 0, 0, 0, 0, 8, 0, 0, -24, 0, 16, 0, 0, -56, 0, -16, 0, 0, 0, 0, 40, 0, 0, 16, 0, 4, 0, 0, 16, 0, 0, 0, 0, 16, 0, 32, 0, 0, 32, 0, 8, 0, 0, 16, 0, -32, 0, 0, -20, 0, 72, 0, 0, -8, 0, -64, 0, 0, 0, 0, -16, 0, 0, 32, 0, -32, 0, 0, -24, 0, -64, 0, 0, 44, 0, 16, 0, 0, 48, 0, 0, 0, 0, 80, 0, -88, 0, 0, -8, 0, 8, 0, 0, -4, 0, -80, 0, 0, -8, 0, 20, 0, 0, 48, 0, -80, 0, 0, -8, 0, -80, 0, 0, 96, 0, -88, 0, 0, 64, 0, 0, 0, 0, 32, 0, -128, 0, 0, 0, 0, -24, 0, 0, 152, 0, 0, 0, 0, -24, 0, 16, 0, 0, 112, 0, 24, 0, 0, -24, 0, -16, 0, 0, -24, 0, -112, 0, 0, 96, 0, 20, 0, 0, 32, 0, 40, 0, 0, 16, 0, -16, 0, 0, -40, 0, 48, 0, 0, -40, 0, 16, 0, 0, 16, 0, -8, 0, 0, -16, 0, -80, 0, 0, -36, 0, 0, 0, 0, 0, 0, 8, 0, 0, -144, 0, -32, 0, 0, -16, 0, 8, 0, 0, 64, 0, 32, 0, 0, -72, 0, -16, 0, 0, 16, 0, 96, 0, 0, -20, 0, -80, 0, 0, 0, 0, 88, 0, 0, 16, 0, 4, 0, 0, -144, 0, 96, 0, 0, 48, 0, -8, 0, 0, -120, 0, -16, 0, 0, 32, 0, 8, 0, 0, -16, 0, 68, 0, 0, -8, 0, 24, 0, 0, -24, 0, 0, 0, 0, 64, 0, -48, 0, 0, -72, 0, -32, 0, 0, 0, 0, 8, 0, 0, 104, 0, 96, 0, 0, 16, 0, 0, 0, 0, 32, 0, 56, 0, 0, -8, 0, 16, 0, 0, -8, 0, -80, 0, 0, -8, 0, 24, 0, 0, 48, 0, -24, 0, 0, -16, 0, -32, 0, 0, -80, 0, 48, 0, 0, 32, 0, 56, 0, 0, -80, 0, 20, 0, 0, 16, 0, -16, 0, 0, -136, 0, 208, 0, 0, 64, 0, 0, 0, 0, -8, 0, 72, 0, 0, -40, 0, -8, 0, 0, -16, 0, -32, 0, 0, -16, 0, -16, 0, 0, 32, 0, -192, 0, 0, -4, 0, 0, 0, 0, 48, 0, 176, 0, 0, -16, 0, -16, 0, 0, 104, 0, 144, 0, 0, 0, 0, -48, 0, 0, -136, 0, -32, 0, 0, -8, 0, -16, 0, 0, 112, 0, -72, 0, 0, -32, 0, 8, 0, 0, -220, 0, 16, 0, 0, -112, 0, -32, 0, 0, 0, 0, 72, 0, 0, -8, 0, 8, 0, 0, -24, 0, 224, 0, 0, -88, 0, -16, 0, 0, -64, 0, -48, 0, 0, 32, 0, 0, 0, 0, -104, 0, 72, 0, 0, -72, 0, 20, 0, 0, 64, 0, 96, 0, 0, -72, 0, 168, 0, 0, -32, 0, 96, 0, 0, 16, 0, 8, 0, 0, -16, 0, 8, 0, 0, 64, 0, 16, 0, 0, 16, 0, -16, 0, 0, 0, 0, 0, 0, 0, 128, 0, 16, 0, 0, 16, 0, 104, 0, 0, -16, 0, -80, 0, 0, -144, 0, -32, 0, 0, -16, 0, 56, 0, 0, 32, 0, 32, 0, 0, 80, 0, 0, 0, 0, 32, 0, 24, 0, 0, -224, 0, 72, 0, 0, 64, 0, 8, 0, 0, 32, 0, 32, 0, 0, -40, 0, -44, 0, 0, -112, 0, -88, 0, 0, -16, 0, 0, 0, 0, -96, 0, -64, 0, 0, -48, 0, -48, 0, 0, -144, 0, 104, 0, 0, 0, 0, 88, 0, 0, 136, 0, -16, 0, 0, -24, 0, -80, 0, 0, 32, 0, 88, 0, 0, 88, 0, -64, 0, 0, -20, 0, -336, 0, 0, -16, 0, 8, 0, 0, 56, 0, -64, 0, 0, -8, 0, 248, 0, 0, -32, 0, 16, 0, 0, -96, 0, 4, 0, 0, -96, 0, -56, 0, 0, 80, 0, 0, 0, 0, -152, 0, 40, 0, 0, 48, 0, 8, 0, 0, 80, 0, 96, 0, 0, -20, 0, 112, 0, 0, 16, 0, -64, 0, 0, -88, 0, -48, 0, 0, -80, 0, 8, 0, 0, 80, 0, 16, 0, 0, 184, 0, -144, 0, 0, -128, 0, 8, 0, 0, -8, 0, 24, 0, 0, 80, 0, -24, 0, 0, 232, 0, -16, 0, 0, 16, 0, -96, 0, 0, 64, 0, 84, 0, 0, 88, 0, -48, 0, 0, 64, 0, -256, 0, 0, 80, 0, -64, 0, 0, 128, 0, 8, 0, 0, 0, 0, -120, 0, 0, 128, 0, -96, 0, 0, 112, 0, -32, 0, 0, -48, 0, 24, 0, 0, 128, 0, -160, 0, 0, 96, 0, 0, 0, 0, -80, 0, 0, 0, 0, 272, 0, -128, 0, 0, 24, 0, -16, 0, 0, -8, 0, -48, 0, 0, -72, 0, -152, 0, 0, -64, 0, -16, 0, 0, 0, 0, -32, 0, 0, 40, 0, 16, 0, 0, 0, 0, 24, 0, 0, 96, 0, -88, 0, 0, -16, 0, -16, 0, 0, -320, 0, 32, 0, 0, -16, 0, -112, 0, 0, 32, 0, -132, 0, 0, -24, 0, 64, 0, 0, -80, 0, -32, 0, 0, 112, 0, 24, 0, 0, 160, 0, 56, 0, 0, 16, 0, 96, 0, 0, -48, 0, -80, 0, 0, 0, 0, 24, 0, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 630462
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1050.2.a.e', 'target_level': 1050, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 630463
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '1050.2.a.o', 'target_level': 1050, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 630464
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1050.2.g.j', 'target_level': 1050, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 630465
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1050.2.g.j', 'target_level': 1050, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 630466
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3150.2.a.c', 'target_level': 3150, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 630467
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '3150.2.a.bl', 'target_level': 3150, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 630468
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3150.2.g.g', 'target_level': 3150, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 630469
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3150.2.g.g', 'target_level': 3150, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 630470
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '7350.2.a.bj', 'target_level': 7350, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 630471
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '7350.2.a.ca', 'target_level': 7350, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 630472
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '8400.2.a.t', 'target_level': 8400, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 630473
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1050.2.g.j', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '8400.2.a.bt', 'target_level': 8400, 'twist_class_label': '1050.2.a.e', 'twist_class_level': 1050, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1631900
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 2}
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id: 1631901
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 3}
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id: 1631902
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 5}
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id: 1631903
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 7}
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id: 1631904
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 11}
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id: 1631905
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 13}
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id: 1631906
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 17}
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id: 1631907
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 19}
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id: 1631908
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 23}
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id: 1631909
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 29}
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id: 1631910
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 31}
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id: 1631911
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 37}
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id: 1631912
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 41}
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id: 1631913
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 43}
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id: 1631914
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 47}
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id: 1631915
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 53}
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id: 1631916
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 59}
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id: 1631917
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 61}
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id: 1631918
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 67}
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id: 1631919
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 71}
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id: 1631920
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 73}
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id: 1631921
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 79}
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id: 1631922
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 83}
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id: 1631923
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 40532808996750362, 'p': 89}
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id: 1631924
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 40532808996750362, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 10, 'label': '1050.2.g.j', 'level': 1050, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 53925589
{'hecke_orbit_code': 40532808996750362, 'n': 1, 'trace_an': 2}
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id: 53925590
{'hecke_orbit_code': 40532808996750362, 'n': 2, 'trace_an': 0}
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id: 53925591
{'hecke_orbit_code': 40532808996750362, 'n': 3, 'trace_an': 0}
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id: 53925592
{'hecke_orbit_code': 40532808996750362, 'n': 4, 'trace_an': -2}
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id: 53925593
{'hecke_orbit_code': 40532808996750362, 'n': 5, 'trace_an': 0}
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id: 53925594
{'hecke_orbit_code': 40532808996750362, 'n': 6, 'trace_an': 2}
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id: 53925595
{'hecke_orbit_code': 40532808996750362, 'n': 7, 'trace_an': 0}
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id: 53925596
{'hecke_orbit_code': 40532808996750362, 'n': 8, 'trace_an': 0}
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id: 53925597
{'hecke_orbit_code': 40532808996750362, 'n': 9, 'trace_an': -2}
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id: 53925598
{'hecke_orbit_code': 40532808996750362, 'n': 10, 'trace_an': 0}
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id: 53925599
{'hecke_orbit_code': 40532808996750362, 'n': 11, 'trace_an': 4}
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id: 53925600
{'hecke_orbit_code': 40532808996750362, 'n': 12, 'trace_an': 0}
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id: 53925601
{'hecke_orbit_code': 40532808996750362, 'n': 13, 'trace_an': 0}
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id: 53925602
{'hecke_orbit_code': 40532808996750362, 'n': 14, 'trace_an': 2}
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id: 53925603
{'hecke_orbit_code': 40532808996750362, 'n': 15, 'trace_an': 0}
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id: 53925604
{'hecke_orbit_code': 40532808996750362, 'n': 16, 'trace_an': 2}
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id: 53925605
{'hecke_orbit_code': 40532808996750362, 'n': 17, 'trace_an': 0}
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id: 53925606
{'hecke_orbit_code': 40532808996750362, 'n': 18, 'trace_an': 0}
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