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{'Nk2': 19200, 'analytic_conductor': 38.32819297021459, 'analytic_rank': 0, '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, [2, 1]], [11, [-6, 1]], [13, [2, 1]], [19, [4, 1]], [23, [-8, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892602048, '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.bu', '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': '480.2.f.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-2q^{7}+q^{9}+6q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/4800/bu'], '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, -2], 'trace_hash': 2161618143731694336, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.982', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [-2], [0], [1], [0], [6], [0], [-2], [0], [0], [0], [6], [0], [-4], [0], [-2], [0], [8], [0], [0], [0], [1], [0], [0], [0], [-8], [0], [6], [0], [0], [0], [2], [0], [-2], [0], [-6], [0], [4], [0], [0], [0], [4], [0], [-3], [0], [6], [0], [6], [0], [0], [0], [-4], [0], [6], [0], [6], [0], [-2], [0], [0], [0], [0], [0], [8], [0], [-4], [0], [-12], [0], [0], [0], [-12], [0], [-8], [0], [1], [0], [12], [0], [0], [0], [0], [0], [14], [0], [4], [0], [-8], [0], [0], [0], [-8], [0], [6], [0]], 'ap': [[0], [1], [0], [-2], [6], [-2], [6], [-4], [8], [0], [-8], [2], [-6], [4], [4], [6], [6], [6], [0], [-4], [-12], [-8], [12], [14], [-8], [-8], [6], [12], [-2], [2], [22], [10], [-6], [16], [4], [-8], [22], [-8], [16], [-14], [-2], [22], [-20], [-12], [6], [8], [16], [-10], [20], [-14], [22], [20], [-10], [-14], [-6], [24], [0], [0], [2], [-2], [8], [-26], [-12], [12], [-28], [18], [4], [-20], [4], [14], [6], [0], [-10], [-10], [8], [-12], [-36], [-38], [-18], [-26], [26], [2], [32], [-28], [8], [20], [-18], [-16], [20], [-14], [-28], [-28], [10], [-14], [-36], [4], [0], [-26], [24], [-2], [12], [14], [-4], [-2], [-28], [16], [-20], [2], [32], [34], [-22], [34], [38], [-24], [-40], [2], [-48], [-12], [10], [-30], [6], [28], [18], [36], [-20], [0], [10], [8], [26], [2], [20], [-12], [-32], [18], [-18], [2], [26], [-24], [-30], [34], [16], [24], [-22], [12], [38], [-8], [-6], [-18], [-8], [24], [-10], [-26], [-32], [48], [-44], [-32], [-48], [-34], [8], [-20], [-20], [-6], [-42], [-14], [30], [12], [48], [-10], [54], [-22], [30], [-6], [-48], [-4], [-16], [38], [16], [-60], [-46], [-62], [34], [-46], [-22], [-54], [-12], [-20], [-42], [-56], [-14], [-28], [-20], [-4], [56], [-28], [-12], [50], [-2], [-50], [-38], [12], [68], [-32], [-10], [-18], [-2], [-18], [40], [20], [-42], [20], [28], [20], [54], [4], [-4], [-26], [-50], [30], [-52], [30], [10], [0], [-6], [10], [-12], [26], [-6], [-24], [34], [70], [-10], [-56], [8], [46], [16], [-48], [-34], [-2], [-18], [-52], [28], [12], [18], [-18], [-2], [60], [-2], [-26], [28], [-16], [-30], [2], [-48], [6], [14], [34], [30], [-32], [-42], [4], [22], [-60], [-30], [-14], [42], [-76], [12], [42], [-40], [-30], [-22], [4], [52], [-48], [-4], [6], [60], [-34], [-58], [-70], [8], [-16], [44], [18], [60], [68], [40], [-30], [-48], [-6], [76], [-12], [-2], [-18], [42], [36], [-32], [74], [30], [52], [20], [10], [40], [-44], [-4], [-32], [60], [-78], [-36], [-74], [8], [48], [-58], [76], [20], [86], [30], [-4], [52], [42], [-36], [52], [24], [-14], [-50], [70], [56], [-84], [60], [90], [-30], [-66], [-16], [4], [-24], [28], [74], [54], [-38], [54], [86], [-2], [-40], [16], [-2], [6], [-54], [76], [12], [-22], [-40], [-80], [80], [6], [-58], [30], [96], [-18], [18], [-24], [-10], [74], [-68], [14], [-32], [16], [-18], [86], [-22], [14], [40], [-28], [-96], [40], [-38], [-42], [72], [8], [-34], [-72], [36], [-14], [70], [-58], [-64], [-48], [72], [-70], [68], [88], [50], [6], [-66], [64], [-8], [-96], [-88], [74], [100], [68], [-22], [26], [-50], [-6], [-64], [88], [-94], [46], [-24], [10], [-8], [78], [-52], [28], [-76], [80], [-88], [-98], [18], [-16], [100], [62], [52], [-54], [-4], [-82], [92], [26], [-20], [88]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 207165582892602048, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '4800.2.a.bu', '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], '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: 1224913
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '480.2.f.a', 'target_level': 480, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1224914
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '480.2.f.b', 'target_level': 480, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1224915
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '960.2.f.g', 'target_level': 960, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1224916
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '960.2.f.j', 'target_level': 960, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1224917
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1440.2.f.e', 'target_level': 1440, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '120.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1224918
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1440.2.f.g', 'target_level': 1440, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1224919
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2400.2.a.c', 'target_level': 2400, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1224920
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2400.2.a.d', 'target_level': 2400, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1224921
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '2400.2.a.be', 'target_level': 2400, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1224922
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '2400.2.a.bf', 'target_level': 2400, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1224923
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2880.2.f.a', 'target_level': 2880, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1224924
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2880.2.f.g', 'target_level': 2880, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1224925
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3840.2.d.e', 'target_level': 3840, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1224926
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3840.2.d.k', 'target_level': 3840, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1224927
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '3840.2.d.u', 'target_level': 3840, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1224928
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '3840.2.d.bc', 'target_level': 3840, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1224929
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '4800.2.a.z', 'target_level': 4800, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1224930
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '4800.2.a.ba', 'target_level': 4800, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1224931
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '4800.2.a.bt', 'target_level': 4800, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1224932
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '4800.2.a.bu', 'target_level': 4800, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1224933
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '7200.2.a.j', 'target_level': 7200, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1224934
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '7200.2.a.p', 'target_level': 7200, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1224935
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '7200.2.a.bl', 'target_level': 7200, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1224936
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4800.2.a.bu', 'source_level': 4800, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '7200.2.a.br', 'target_level': 7200, 'twist_class_label': '480.2.f.a', 'twist_class_level': 480, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3709975
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 2}
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id: 3709976
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 3}
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id: 3709977
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 5}
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id: 3709978
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 7}
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id: 3709979
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 11}
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id: 3709980
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 13}
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id: 3709981
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 17}
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id: 3709982
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 19}
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id: 3709983
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 23}
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id: 3709984
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 29}
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id: 3709985
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 31}
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id: 3709986
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 37}
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id: 3709987
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 41}
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id: 3709988
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 43}
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id: 3709989
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 47}
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id: 3709990
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 53}
-
id: 3709991
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 59}
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id: 3709992
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 61}
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id: 3709993
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 67}
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id: 3709994
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 71}
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id: 3709995
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 73}
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id: 3709996
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 79}
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id: 3709997
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 83}
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id: 3709998
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 89}
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id: 3709999
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 207165582892602048, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 47, 'label': '4800.2.a.bu', '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: 71249773
{'hecke_orbit_code': 207165582892602048, 'n': 1, 'trace_an': 1}
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id: 71249774
{'hecke_orbit_code': 207165582892602048, 'n': 2, 'trace_an': 0}
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id: 71249775
{'hecke_orbit_code': 207165582892602048, 'n': 3, 'trace_an': 1}
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id: 71249776
{'hecke_orbit_code': 207165582892602048, 'n': 4, 'trace_an': 0}
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id: 71249777
{'hecke_orbit_code': 207165582892602048, 'n': 5, 'trace_an': 0}
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id: 71249778
{'hecke_orbit_code': 207165582892602048, 'n': 6, 'trace_an': 0}
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id: 71249779
{'hecke_orbit_code': 207165582892602048, 'n': 7, 'trace_an': -2}
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id: 71249780
{'hecke_orbit_code': 207165582892602048, 'n': 8, 'trace_an': 0}
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id: 71249781
{'hecke_orbit_code': 207165582892602048, 'n': 9, 'trace_an': 1}
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id: 71249782
{'hecke_orbit_code': 207165582892602048, 'n': 10, 'trace_an': 0}
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id: 71249783
{'hecke_orbit_code': 207165582892602048, 'n': 11, 'trace_an': 6}
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