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{'Nk2': 14080, 'analytic_conductor': 28.107341511490695, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [11, -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': [3520, 1, [2751, 1541, 2817, 321], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [0, 1]], [7, [0, 1]], [13, [2, 1]], [17, [-6, 1]], [19, [-4, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444115392, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3520.2.a.p', 'level': 3520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '55.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-3q^{9}+q^{11}-2q^{13}+6q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/3520/p'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3520.2.a', 'trace_display': [0, 0, -1, 0], 'trace_hash': 422154930772541141, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.972', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.883', 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [-1], [0], [0], [0], [-3], [0], [1], [0], [-2], [0], [0], [0], [6], [0], [4], [0], [0], [0], [4], [0], [1], [0], [0], [0], [-6], [0], [-8], [0], [0], [0], [0], [0], [2], [0], [0], [0], [2], [0], [-4], [0], [3], [0], [-12], [0], [-7], [0], [0], [0], [2], [0], [-1], [0], [0], [0], [-4], [0], [10], [0], [0], [0], [2], [0], [16], [0], [0], [0], [8], [0], [14], [0], [0], [0], [0], [0], [8], [0], [9], [0], [4], [0], [-6], [0], [0], [0], [10], [0], [0], [0], [0], [0], [-4], [0], [10], [0], [-3], [0]], 'ap': [[0], [0], [-1], [0], [1], [-2], [6], [4], [4], [-6], [-8], [2], [2], [-4], [-12], [2], [-4], [10], [16], [8], [14], [8], [4], [10], [10], [10], [-4], [-12], [18], [-6], [16], [12], [18], [-12], [10], [8], [2], [-16], [-8], [6], [-4], [10], [8], [-26], [-2], [0], [-4], [-4], [20], [10], [6], [8], [10], [-12], [18], [24], [18], [0], [-10], [18], [-4], [-10], [-20], [-24], [-22], [18], [-4], [6], [4], [10], [18], [-32], [4], [-18], [-20], [-12], [-6], [-30], [2], [-6], [28], [-6], [-24], [-22], [-8], [-8], [2], [-26], [34], [-36], [0], [24], [28], [28], [36], [-16], [-14], [-6], [20], [34], [-12], [-10], [-36], [26], [-36], [-22], [24], [22], [24], [2], [-32], [-34], [2], [20], [40], [34], [16], [20], [10], [-36], [10], [-26], [38], [16], [28], [-22], [10], [0], [52], [-42], [-4], [40], [16], [-6], [10], [-22], [-14], [-52], [2], [18], [12], [18], [-36], [-12], [2], [-32], [-2], [-18], [-28], [4], [22], [18], [16], [56], [40], [8], [24], [-14], [6], [2], [0], [-42], [8], [-36], [10], [-4], [8], [46], [26], [-30], [-28], [34], [40], [-10], [32], [10], [-36], [-6], [-16], [34], [-36], [-28], [-22], [6], [-36], [-38], [6], [24], [58], [-8], [42], [12], [44], [-30], [-28], [-38], [-22], [-38], [-2], [-8], [-38], [-40], [-62], [10], [-12], [50], [-40], [-52], [-30], [44], [-18], [58], [-36], [-8], [-48], [-6], [-56], [34], [36], [42], [-30], [-32], [50], [52], [-68], [58], [34], [24], [8], [36], [-14], [-20], [-40], [66], [16], [-72], [-14], [54], [-20], [0], [-64], [-76], [-4], [18], [30], [-48], [-28], [-36], [52], [48], [-2], [-14], [-12], [58], [6], [-36], [74], [-36], [26], [-58], [32], [-12], [-46], [14], [-62], [20], [66], [-38], [-52], [-42], [-14], [-16], [50], [64], [14], [52], [40], [-22], [18], [-20], [-48], [16], [-32], [-22], [28], [24], [-6], [22], [-40], [-78], [18], [40], [6], [84], [-34], [50], [0], [2], [4], [-68], [-74], [-42], [-64], [8], [60], [-30], [40], [50], [-8], [46], [56], [42], [50], [88], [24], [18], [-84], [-80], [26], [50], [-52], [2], [90], [-36], [6], [82], [-20], [-40], [56], [78], [-22], [2], [8], [12], [-76], [-16], [66], [46], [-54], [-40], [-86], [58], [10], [0], [42], [68], [-54], [96], [72], [-46], [68], [10], [-30], [-56], [-62], [30], [-24], [20], [-2], [28], [70], [42], [-92], [-20], [-40], [2], [-42], [24], [-30], [28], [-44], [16], [-22], [48], [18], [-36], [-32], [14], [-30], [38], [-94], [90], [-8], [-42], [52], [28], [64], [-54], [20], [-4], [-30], [18], [60], [-96], [-72], [-10], [48], [-86], [84], [-30], [-94], [-6], [-8], [-6], [-54], [-88], [2], [-78], [-40], [52], [62], [-42], [-8], [-76], [-34], [-46], [48], [-28], [66], [16], [34], [-74], [28], [-36], [26], [74], [-48], [-6], [-12], [-96]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 67553994444115392, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '3520.2.a.p', 'level': 3520, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, -1], [11, 1]], 10, 6], [[[2, 1], [5, 1], [11, -1]], 12, 7], [[[2, -1], [5, -1], [11, -1]], 12, 7], [[[2, 1], [5, -1], [11, -1]], 8, 5], [[[2, -1], [5, 1], [11, 1]], 10, 9], [[[2, -1], [5, -1], [11, 1]], 10, 6], [[[2, 1], [5, 1], [11, 1]], 10, 5], [[[2, -1], [5, 1], [11, -1]], 8, 7]], 'ALdims': [10, 12, 10, 8, 10, 8, 10, 12], 'Nk2': 14080, 'analytic_conductor': 28.107341511490695, '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': [3520, 1, [2751, 1541, 2817, 321], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 553, 'dim': 80, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13, 17, 19], 'hecke_orbit_code': 33557952, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 5, 5], 'label': '3520.2.a', 'level': 3520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 600, 'mf_new_dim': 80, 'num_forms': 52, 'plus_dim': 36, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 160, 0, 0, 0, -32, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1108508
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '55.2.a.a', 'target_level': 55, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1108509
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '275.2.a.a', 'target_level': 275, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1108510
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '275.2.b.b', 'target_level': 275, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1108511
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '495.2.a.a', 'target_level': 495, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1108512
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '605.2.a.b', 'target_level': 605, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '88.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1108513
{'conductor': 88, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '605.2.g.a', 'target_level': 605, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '88.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1108514
{'conductor': 88, 'degree': 4, 'multiplicity': 4, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '605.2.g.c', 'target_level': 605, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '88.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1108515
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '880.2.a.h', 'target_level': 880, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1108516
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2475.2.a.i', 'target_level': 2475, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1108517
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2475.2.c.f', 'target_level': 2475, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1108518
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2695.2.a.c', 'target_level': 2695, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1108519
{'conductor': 440, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3025.2.a.f', 'target_level': 3025, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '440.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1108520
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3520.2.a.n', 'target_level': 3520, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1108521
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3520.2.a.p', 'target_level': 3520, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1108522
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '4400.2.a.p', 'target_level': 4400, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1108523
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4400.2.b.n', 'target_level': 4400, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1108524
{'conductor': 264, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '5445.2.a.i', 'target_level': 5445, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '264.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1108525
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '7920.2.a.i', 'target_level': 7920, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1108526
{'conductor': 104, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '9295.2.a.b', 'target_level': 9295, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, 'twisting_char_label': '104.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1108527
{'conductor': 88, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '3520.2.a.p', 'source_level': 3520, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '9680.2.a.r', 'target_level': 9680, 'twist_class_label': '55.2.a.a', 'twist_class_level': 55, '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: 3221200
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 2}
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id: 3221201
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 3}
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id: 3221202
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 5}
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id: 3221203
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 7}
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id: 3221204
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 11}
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id: 3221205
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 13}
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id: 3221206
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 17}
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id: 3221207
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 19}
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id: 3221208
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 23}
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id: 3221209
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 29}
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id: 3221210
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 31}
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id: 3221211
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 37}
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id: 3221212
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 41}
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id: 3221213
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 43}
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id: 3221214
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 47}
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id: 3221215
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 53}
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id: 3221216
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 59}
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id: 3221217
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 61}
-
id: 3221218
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 67}
-
id: 3221219
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 71}
-
id: 3221220
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 73}
-
id: 3221221
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 79}
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id: 3221222
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 83}
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id: 3221223
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 89}
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id: 3221224
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 67553994444115392, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '3520.2.a.p', 'level': 3520, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 234568000
{'hecke_orbit_code': 67553994444115392, 'n': 1, 'trace_an': 1}
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id: 234568001
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