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{'Nk2': 19200, 'analytic_conductor': 38.32819297021459, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1]], 'atkin_lehner_string': '--+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4800, 1, [4351, 901, 1601, 577], [1, 1, 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': [[7, [3, 1]], [11, [-2, 1]], [13, [-1, 1]], [19, [5, 1]], [23, [-6, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784010490560, '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': '4800.2.a.br', 'level': 4800, '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], 'level_radical': 30, 'minimal_twist': '75.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-3q^{7}+q^{9}+2q^{11}+q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4800/br'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4800.2.a', 'trace_display': [0, 1, 0, -3], 'trace_hash': 932403860904554524, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.960', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [-3], [0], [1], [0], [2], [0], [1], [0], [0], [0], [-2], [0], [-5], [0], [-3], [0], [6], [0], [0], [0], [1], [0], [-10], [0], [3], [0], [2], [0], [0], [0], [2], [0], [1], [0], [-8], [0], [-1], [0], [0], [0], [2], [0], [2], [0], [-2], [0], [-4], [0], [0], [0], [-5], [0], [-10], [0], [-7], [0], [-3], [0], [0], [0], [3], [0], [6], [0], [8], [0], [14], [0], [0], [0], [-6], [0], [0], [0], [1], [0], [-6], [0], [0], [0], [-10], [0], [0], [0], [-3], [0], [3], [0], [0], [0], [-17], [0], [2], [0]], 'ap': [[0], [1], [0], [-3], [2], [1], [-2], [-5], [6], [-10], [3], [2], [-8], [-1], [2], [-4], [-10], [-7], [3], [8], [14], [0], [-6], [0], [-17], [-12], [-4], [-12], [-5], [4], [-8], [12], [18], [20], [-10], [-7], [-13], [-11], [12], [6], [-10], [-17], [-22], [-11], [-18], [5], [-13], [-19], [8], [15], [24], [-20], [-23], [12], [-12], [16], [10], [8], [-3], [-18], [9], [6], [-7], [18], [-11], [-8], [12], [23], [-2], [-10], [-6], [0], [27], [-29], [25], [36], [0], [7], [12], [5], [-20], [-22], [18], [29], [35], [24], [20], [-22], [-12], [-24], [38], [-30], [-13], [-8], [-5], [16], [10], [22], [-31], [3], [8], [42], [-6], [30], [-13], [13], [-12], [-16], [20], [-13], [-8], [-14], [-12], [-25], [23], [12], [-36], [-28], [-14], [-40], [38], [-6], [42], [24], [-8], [-22], [-25], [-30], [-43], [-34], [-20], [-4], [8], [-23], [12], [35], [-24], [-7], [52], [-20], [27], [18], [41], [28], [30], [-10], [51], [28], [40], [16], [27], [32], [-41], [-18], [-12], [58], [-55], [-50], [33], [-22], [18], [-56], [32], [42], [-2], [36], [-17], [42], [5], [-14], [-30], [53], [18], [-21], [5], [0], [27], [18], [-19], [5], [17], [-8], [1], [38], [-54], [10], [-63], [29], [5], [-2], [-1], [64], [-3], [58], [-42], [-46], [22], [6], [-42], [46], [0], [-12], [42], [10], [60], [42], [-35], [-26], [60], [-43], [13], [38], [-39], [28], [30], [-58], [37], [42], [-8], [6], [-37], [25], [-30], [16], [8], [-35], [54], [-10], [-53], [42], [21], [-20], [-47], [-58], [4], [72], [-30], [-44], [-30], [-12], [-66], [-3], [-29], [-15], [-6], [10], [-73], [2], [5], [-34], [22], [2], [12], [45], [-14], [-60], [-37], [28], [12], [-62], [1], [-22], [10], [-69], [-42], [40], [70], [-8], [4], [26], [13], [8], [-26], [15], [-57], [41], [18], [-75], [-33], [-48], [16], [8], [-38], [33], [33], [78], [-1], [-48], [40], [0], [-82], [-52], [84], [72], [71], [0], [-77], [-24], [-30], [28], [-6], [-28], [-25], [54], [52], [43], [-12], [-5], [-60], [6], [-54], [-60], [12], [19], [22], [25], [-30], [-12], [39], [30], [32], [13], [28], [61], [-66], [-38], [-85], [29], [-78], [56], [3], [62], [-65], [-46], [-13], [-52], [25], [44], [-43], [-48], [31], [8], [30], [93], [86], [30], [-77], [53], [-12], [-68], [27], [-42], [-22], [-89], [45], [-6], [-40], [-78], [-42], [-34], [-53], [-58], [42], [80], [-92], [-91], [72], [-84], [47], [12], [-75], [26], [-60], [-72], [-23], [80], [-42], [49], [-60], [-37], [-22], [-6], [-8], [8], [60], [-94], [43], [-58], [-36], [-78], [45], [-64], [20], [-77], [-2], [79], [-5], [-60], [-83], [-12], [-10], [-36], [67], [68], [20], [8], [17], [-8], [69], [60], [9], [12], [-26], [27], [-77], [-92], [-10], [67], [-72], [-44], [-40], [7], [-18], [-70], [34], [32], [-16], [60], [77], [-50]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 193654784010490560, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4800.2.a.br', 'level': 4800, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [8, 10, 11, 8, 10, 10, 7, 12], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [101, 104, 103, 100, 104, 98, 101, 102], 'Nk2': 19200, 'analytic_conductor': 38.32819297021459, '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': [4800, 1, [4351, 901, 1601, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 889, 'dim': 76, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19, 23], 'hecke_orbit_code': 33559232, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], 'label': '4800.2.a', 'level': 4800, '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], 'level_radical': 30, 'mf_dim': 1032, 'mf_new_dim': 76, 'num_forms': 74, 'plus_dim': 33, 'prim_orbit_index': 1, 'relative_dim': 76, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [76, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, -64, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 24, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 24, 0, 0, 0, 8, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 40, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 96, 0, 0, 0, 16, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 56, 0, 0, 0, -16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -8, 0, 0, 0, 40, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, -72, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 16, 0, 0, 0, 72, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 24, 0, 0, 0, 112, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 24, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -40, 0, 0, 0, -48, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -200, 0, 0, 0, -96, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 88, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, -128, 0, 0, 0, 48, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 72, 0, 0, 0, 120, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, -208, 0, 0, 0, -16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 64, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -168, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 24, 0, 0, 0, 88, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 312, 0, 0, 0, -104, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -48, 0, 0, 0, -120, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 96, 0, 0, 0, -8, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -72, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, -80, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, -120, 0, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, 232, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 176, 0, 0, 0, 80, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -16, 0, 0, 0, 256, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, -8, 0, 0, 0, 64, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 136, 0, 0, 0, 8, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -232, 0, 0, 0, 8, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 24, 0, 0, 0, 88, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -32, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 96, 0, 0, 0, -136, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 72, 0, 0, 0, -160, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, 104, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, -608, 0, 0, 0, 16, 0, 0, 0, -168, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1224849
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '75.2.a.a', 'target_level': 75, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1224850
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '75.2.a.c', 'target_level': 75, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1224851
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '75.2.b.a', 'target_level': 75, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1224852
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.a.a', 'target_level': 225, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1224853
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '225.2.a.e', 'target_level': 225, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1224854
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.2.b.a', 'target_level': 225, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1224855
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1200.2.a.c', 'target_level': 1200, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1224856
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1200.2.a.p', 'target_level': 1200, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1224857
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1200.2.f.d', 'target_level': 1200, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1224858
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3600.2.a.j', 'target_level': 3600, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1224859
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '3600.2.a.bk', 'target_level': 3600, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1224860
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3600.2.f.p', 'target_level': 3600, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1224861
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3675.2.a.b', 'target_level': 3675, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1224862
{'conductor': 280, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '3675.2.a.q', 'target_level': 3675, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '280.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1224863
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '4800.2.a.bb', 'target_level': 4800, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1224864
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '4800.2.a.be', 'target_level': 4800, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1224865
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '4800.2.a.bq', 'target_level': 4800, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1224866
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '4800.2.a.br', 'target_level': 4800, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1224867
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '4800.2.f.l', 'target_level': 4800, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1224868
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '4800.2.f.y', 'target_level': 4800, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1224869
{'conductor': 440, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '9075.2.a.a', 'target_level': 9075, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '440.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1224870
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '4800.2.a.br', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '9075.2.a.s', 'target_level': 9075, 'twist_class_label': '75.2.a.a', 'twist_class_level': 75, 'twisting_char_label': '88.g', 'twisting_char_orbit': 7, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3709875
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 2}
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id: 3709876
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 3}
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id: 3709877
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 5}
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id: 3709878
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 7}
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id: 3709879
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 11}
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id: 3709880
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 13}
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id: 3709881
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 17}
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id: 3709882
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 19}
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id: 3709883
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 23}
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id: 3709884
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 29}
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id: 3709885
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 31}
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id: 3709886
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 37}
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id: 3709887
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 41}
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id: 3709888
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 43}
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id: 3709889
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 47}
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id: 3709890
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 53}
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id: 3709891
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 59}
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id: 3709892
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 61}
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id: 3709893
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 67}
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id: 3709894
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 71}
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id: 3709895
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 73}
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id: 3709896
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 79}
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id: 3709897
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 83}
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id: 3709898
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 89}
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id: 3709899
{'charpoly_factorization': [[[17, 1], 1]], 'hecke_orbit_code': 193654784010490560, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 44, 'label': '4800.2.a.br', 'level': 4800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70936819
{'hecke_orbit_code': 193654784010490560, 'n': 1, 'trace_an': 1}
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id: 70936820
{'hecke_orbit_code': 193654784010490560, 'n': 2, 'trace_an': 0}
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id: 70936821
{'hecke_orbit_code': 193654784010490560, 'n': 3, 'trace_an': 1}
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id: 70936822
{'hecke_orbit_code': 193654784010490560, 'n': 4, 'trace_an': 0}
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id: 70936823
{'hecke_orbit_code': 193654784010490560, 'n': 5, 'trace_an': 0}
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id: 70936824
{'hecke_orbit_code': 193654784010490560, 'n': 6, 'trace_an': 0}
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id: 70936825
{'hecke_orbit_code': 193654784010490560, 'n': 7, 'trace_an': -3}
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