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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, [-4, 1]], [13, [4, 0, 1]], [17, [4, 0, 1]], [19, [-4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511211232527386, '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': False, 'label': '1050.2.g.d', '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': '210.2.a.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-i q^{2}-i q^{3}-q^{4}-q^{6}-i q^{7}+\\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': 2016028850244079276, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.941', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.164', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.973', '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], [4, 0], [0, 1], [0, -2], [-1, 0], [0, 0], [1, 0], [0, -2], [0, 1], [4, 0], [0, 0], [-1, 0], [0, -4], [0, -8], [1, 0], [0, 0], [-2, 0], [0, 1], [0, 1], [-6, 0], [0, 0], [-8, 0], [0, -1], [0, -4], [-2, 0], [0, 0], [1, 0], [0, 2], [0, -4], [-2, 0], [0, 0], [2, 0], [0, 1], [0, -12], [-4, 0], [0, 0], [-8, 0], [0, 8], [0, -1], [-1, 0], [0, 0], [-2, 0], [0, 2], [0, 6], [1, 0], [0, 0], [1, 0], [0, -4], [0, 6], [-4, 0], [0, 0], [-2, 0], [0, 8], [0, 1], [-1, 0], [0, 0], [-4, 0], [0, -12], [0, 2], [-8, 0], [0, 0], [8, 0], [0, -1], [0, -14], [2, 0], [0, 0], [-4, 0], [0, -4], [0, 2], [0, 0], [0, 0], [1, 0], [0, -2], [0, 12], [1, 0], [0, 0], [-12, 0], [0, 6], [0, 4], [-2, 0], [0, 0], [-2, 0], [0, 8], [0, 8], [8, 0], [0, 0], [-1, 0], [0, -10], [0, 1], [-4, 0], [0, 0]], 'ap': [[0, -1], [0, -1], [0, 0], [0, -1], [4, 0], [0, -2], [0, -2], [4, 0], [0, -8], [-6, 0], [-8, 0], [0, 2], [2, 0], [0, -12], [0, 8], [0, 6], [-4, 0], [-2, 0], [0, -12], [8, 0], [0, -14], [0, 0], [0, 12], [-2, 0], [0, -10], [6, 0], [0, 8], [0, 20], [2, 0], [0, -14], [0, 0], [12, 0], [0, -10], [-20, 0], [18, 0], [8, 0], [0, -14], [0, 12], [0, 16], [0, 14], [20, 0], [-10, 0], [-16, 0], [0, -14], [0, -6], [16, 0], [20, 0], [0, 0], [0, -12], [26, 0], [0, 10], [16, 0], [18, 0], [4, 0], [0, -2], [0, 24], [-30, 0], [-24, 0], [0, -14], [10, 0], [0, 20], [0, 6], [0, 4], [8, 0], [0, 34], [0, -14], [28, 0], [0, -2], [0, -12], [34, 0], [0, 18], [8, 0], [0, 32], [0, 14], [-28, 0], [0, 24], [18, 0], [0, 2], [18, 0], [-10, 0], [-12, 0], [-26, 0], [0, 0], [0, -6], [-32, 0], [0, -4], [14, 0], [0, 38], [-34, 0], [0, -16], [0, 20], [0, 0], [0, 24], [36, 0], [-4, 0], [0, 16], [-14, 0], [-30, 0], [0, -28], [14, 0], [0, -28], [0, 2], [0, -36], [6, 0], [-20, 0], [0, -26], [0, 12], [0, 18], [-8, 0], [-22, 0], [0, 0], [0, -34], [0, -10], [44, 0], [24, 0], [-30, 0], [0, -20], [0, 32], [0, -34], [-28, 0], [-10, 0], [0, 2], [0, -6], [0, -4], [-20, 0], [6, 0], [26, 0], [0, 0], [0, 24], [0, 30], [-36, 0], [0, 24], [-32, 0], [0, 34], [2, 0], [14, 0], [0, -26], [0, 4], [0, -30], [38, 0], [36, 0], [46, 0], [0, -8], [0, -12], [34, 0], [24, 0], [0, -26], [0, 22], [28, 0], [0, 0], [0, 10], [42, 0], [0, 28], [0, -16], [0, 12], [48, 0], [8, 0], [-10, 0], [0, -18], [-18, 0], [0, 12], [0, -6], [0, 8], [36, 0], [0, -18], [0, 32], [-32, 0], [0, -38], [-50, 0], [0, -42], [-4, 0], [62, 0], [56, 0], [0, 26], [40, 0], [14, 0], [-52, 0], [-18, 0], [0, 8], [18, 0], [0, -64], [28, 0], [0, -50], [0, 22], [0, 16], [-38, 0], [0, 26], [0, -4], [22, 0], [-16, 0], [0, 26], [0, 44], [4, 0], [-50, 0], [0, 12], [0, -54], [-46, 0], [0, 22], [0, 30], [0, -48], [-54, 0], [24, 0], [0, 10], [30, 0], [28, 0], [0, 2], [24, 0], [0, -60], [-10, 0], [-12, 0], [0, 14], [-42, 0], [0, 40], [0, 12], [-24, 0], [58, 0], [0, -32], [-22, 0], [0, -8], [0, -50], [-58, 0], [-48, 0], [-18, 0], [0, 16], [0, -44], [-22, 0], [0, 26], [0, 0], [0, -40], [-12, 0], [0, -26], [-44, 0], [-48, 0], [-54, 0], [0, -76], [0, -56], [-34, 0], [0, -10], [44, 0], [-40, 0], [0, 36], [4, 0], [0, 72], [34, 0], [0, 2], [-40, 0], [0, -32], [12, 0], [68, 0], [0, 48], [0, -22], [42, 0], [0, 24], [-26, 0], [0, -18], [-12, 0], [38, 0], [0, -36], [0, -6], [0, -2], [0, 16], [0, 44], [26, 0], [0, -2], [0, 62], [-12, 0], [-54, 0], [-30, 0], [0, 20], [0, 54], [-50, 0], [0, 20], [0, -78], [0, 0], [0, -42], [0, 8], [0, -76], [-14, 0], [10, 0], [28, 0], [0, 24], [-40, 0], [0, 16], [-26, 0], [0, 28], [0, 0], [0, 2], [0, 58], [80, 0], [6, 0], [22, 0], [0, 68], [0, 26], [-12, 0], [0, 54], [-46, 0], [-40, 0], [0, -42], [-4, 0], [0, -28], [0, 2], [0, 2], [64, 0]], 'char_orbit_index': 7, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 13511211232527386, '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.d', '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: 630366
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '210.2.a.c', 'target_level': 210, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 630367
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '630.2.a.b', 'target_level': 630, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 630368
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1050.2.a.h', 'target_level': 1050, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 630369
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.g.d', 'target_level': 1050, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 630370
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1050.2.g.d', 'target_level': 1050, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 630371
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1470.2.a.q', 'target_level': 1470, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 630372
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1470.2.i.b', 'target_level': 1470, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 630373
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1470.2.i.f', 'target_level': 1470, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 630374
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1680.2.a.q', 'target_level': 1680, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 630375
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '3150.2.a.w', 'target_level': 3150, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 630376
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3150.2.g.e', 'target_level': 3150, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 630377
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3150.2.g.e', 'target_level': 3150, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 630378
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4410.2.a.l', 'target_level': 4410, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 630379
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '5040.2.a.i', 'target_level': 5040, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 630380
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '6720.2.a.k', 'target_level': 6720, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 630381
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '6720.2.a.bp', 'target_level': 6720, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 630382
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '7350.2.a.p', 'target_level': 7350, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 630383
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1050.2.g.d', 'source_level': 1050, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '8400.2.a.p', 'target_level': 8400, 'twist_class_label': '210.2.a.c', 'twist_class_level': 210, '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: 1631750
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 2}
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id: 1631751
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 3}
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id: 1631752
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 5}
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id: 1631753
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 7}
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id: 1631754
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 11}
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id: 1631755
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 13}
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id: 1631756
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 17}
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id: 1631757
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 19}
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id: 1631758
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 23}
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id: 1631759
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 29}
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id: 1631760
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 31}
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id: 1631761
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 37}
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id: 1631762
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 41}
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id: 1631763
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 43}
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id: 1631764
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 47}
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id: 1631765
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 53}
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id: 1631766
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 59}
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id: 1631767
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 61}
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id: 1631768
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 67}
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id: 1631769
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 71}
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id: 1631770
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 73}
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id: 1631771
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 79}
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id: 1631772
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 83}
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id: 1631773
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 13511211232527386, 'p': 89}
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id: 1631774
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 13511211232527386, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 4, 'label': '1050.2.g.d', '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: 36754399
{'hecke_orbit_code': 13511211232527386, 'n': 1, 'trace_an': 2}
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id: 36754400
{'hecke_orbit_code': 13511211232527386, 'n': 2, 'trace_an': 0}
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id: 36754401
{'hecke_orbit_code': 13511211232527386, 'n': 3, 'trace_an': 0}
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id: 36754402
{'hecke_orbit_code': 13511211232527386, 'n': 4, 'trace_an': -2}
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id: 36754403
{'hecke_orbit_code': 13511211232527386, 'n': 5, 'trace_an': 0}
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id: 36754404
{'hecke_orbit_code': 13511211232527386, 'n': 6, 'trace_an': -2}
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id: 36754405
{'hecke_orbit_code': 13511211232527386, 'n': 7, 'trace_an': 0}
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id: 36754406
{'hecke_orbit_code': 13511211232527386, 'n': 8, 'trace_an': 0}
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id: 36754407
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