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{'Nk2': 7680, 'analytic_conductor': 15.331277188085833, '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': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1920, 1, [511, 901, 641, 1537], [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]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071484288, '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': True, 'label': '1920.2.a.q', 'level': 1920, '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': '1920.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+2q^{7}+q^{9}+6q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1920/q'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1920.2.a', 'trace_display': [0, 1, -1, 2], 'trace_hash': 1114841371615089395, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.954', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [-1], [0], [2], [0], [1], [0], [6], [0], [-2], [0], [-1], [0], [-2], [0], [2], [0], [2], [0], [-6], [0], [1], [0], [1], [0], [10], [0], [4], [0], [6], [0], [-2], [0], [2], [0], [-2], [0], [6], [0], [0], [0], [-1], [0], [-6], [0], [-3], [0], [-2], [0], [-10], [0], [-6], [0], [2], [0], [-6], [0], [6], [0], [2], [0], [2], [0], [16], [0], [-6], [0], [-8], [0], [10], [0], [1], [0], [12], [0], [0], [0], [1], [0], [12], [0], [2], [0], [10], [0], [6], [0], [-4], [0], [4], [0], [-2], [0], [10], [0], [6], [0]], 'ap': [[0], [1], [-1], [2], [6], [-2], [-2], [2], [-6], [10], [4], [2], [6], [0], [-6], [-10], [-6], [6], [16], [-8], [10], [0], [12], [6], [10], [10], [-10], [-4], [6], [-18], [-2], [-22], [-2], [14], [18], [0], [18], [12], [6], [18], [-18], [-18], [-12], [-22], [-2], [4], [-10], [2], [-8], [-26], [-26], [0], [18], [-18], [-2], [-14], [-6], [4], [-14], [18], [-8], [-6], [-8], [24], [-6], [14], [-30], [18], [-12], [22], [-10], [-4], [22], [-38], [-18], [-34], [-30], [14], [-34], [6], [-10], [38], [28], [18], [-4], [-24], [-6], [-22], [2], [-6], [-24], [-24], [26], [14], [34], [34], [-22], [34], [16], [-26], [-16], [18], [-4], [-42], [-46], [18], [4], [-10], [-36], [10], [-26], [-26], [6], [6], [-16], [18], [12], [-42], [22], [-26], [38], [-6], [30], [8], [-26], [10], [38], [-16], [-38], [-22], [2], [50], [28], [18], [2], [-26], [6], [48], [-18], [42], [26], [18], [-2], [4], [38], [36], [22], [-2], [-2], [-18], [-46], [14], [-20], [46], [-28], [20], [4], [58], [2], [-38], [-32], [-2], [-22], [54], [46], [26], [-60], [6], [38], [54], [18], [-2], [-48], [-14], [-56], [-10], [2], [42], [-58], [30], [-42], [-46], [-26], [-26], [-26], [-38], [34], [-36], [-26], [28], [26], [0], [22], [-30], [32], [54], [30], [30], [-42], [-22], [-6], [-60], [6], [-62], [-38], [66], [32], [60], [6], [18], [66], [-14], [22], [60], [68], [-2], [30], [-18], [-50], [6], [-2], [4], [30], [10], [-56], [-10], [-18], [32], [-6], [30], [14], [-14], [12], [18], [-56], [42], [18], [54], [-22], [0], [-4], [-70], [-18], [14], [-42], [-44], [-26], [-30], [46], [46], [-66], [-14], [-26], [-70], [50], [6], [-42], [68], [-38], [-14], [26], [8], [46], [26], [-18], [-14], [-6], [54], [80], [-38], [-74], [-32], [50], [80], [26], [54], [-4], [22], [10], [-22], [-18], [32], [-58], [-58], [20], [20], [-14], [-66], [-44], [-66], [-54], [56], [-42], [14], [26], [-14], [-76], [42], [-6], [-8], [18], [-14], [0], [36], [74], [-30], [4], [30], [-12], [42], [30], [-22], [14], [-28], [6], [54], [78], [28], [-62], [-82], [22], [50], [42], [-46], [14], [50], [34], [-16], [-30], [22], [70], [-30], [-24], [-12], [10], [-76], [-34], [78], [-22], [-42], [-22], [6], [-30], [-8], [66], [-2], [-34], [12], [4], [-50], [22], [-30], [34], [-46], [62], [30], [-72], [14], [6], [58], [-58], [-42], [-54], [18], [-24], [34], [14], [-18], [-34], [10], [14], [-58], [50], [0], [-2], [46], [76], [-46], [-22], [82], [42], [54], [-22], [-82], [-14], [-94], [20], [-62], [48], [-62], [22], [90], [-14], [80], [-64], [58], [-56], [-54], [-6], [-30], [-34], [-18], [-82], [46], [-30], [-40], [46], [-34], [44], [-18], [26], [106], [-64], [38], [-38], [34], [80], [-62], [-18], [34], [90], [54], [50], [18], [-62], [18], [36], [26], [98], [-60]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 72057594071484288, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1920.2.a.q', 'level': 1920, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 4, 6, 2, 4, 4, 2, 6], 'Nk2': 7680, 'analytic_conductor': 15.331277188085833, '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': [1920, 1, [511, 901, 641, 1537], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 353, 'dim': 32, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33556352, '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, 2, 2, 2, 2], 'label': '1920.2.a', 'level': 1920, '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': 416, 'mf_new_dim': 32, 'num_forms': 28, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 32, 'sturm_bound': 768, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [32, 0, 0, 0, 0, 0, 0, 0, 32, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 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, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 576, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 840046
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1920.2.a.b', 'target_level': 1920, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 840047
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '1920.2.a.j', 'target_level': 1920, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 840048
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '1920.2.a.q', 'target_level': 1920, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 840049
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '1920.2.a.u', 'target_level': 1920, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 840050
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3840.2.k.h', 'target_level': 3840, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 840051
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3840.2.k.v', 'target_level': 3840, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 840052
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '5760.2.a.c', 'target_level': 5760, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 840053
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '5760.2.a.v', 'target_level': 5760, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 840054
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '5760.2.a.bf', 'target_level': 5760, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 840055
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '5760.2.a.bo', 'target_level': 5760, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 840056
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '9600.2.a.i', 'target_level': 9600, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 840057
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '9600.2.a.x', 'target_level': 9600, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 840058
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '9600.2.a.bg', 'target_level': 9600, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 840059
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 17, 'source_is_minimal': True, 'source_label': '1920.2.a.q', 'source_level': 1920, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '9600.2.a.bv', 'target_level': 9600, 'twist_class_label': '1920.2.a.b', 'twist_class_level': 1920, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2299200
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 2}
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id: 2299201
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 3}
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id: 2299202
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 5}
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id: 2299203
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 7}
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id: 2299204
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 11}
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id: 2299205
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 13}
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id: 2299206
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 17}
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id: 2299207
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 19}
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id: 2299208
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 23}
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id: 2299209
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 29}
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id: 2299210
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 31}
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id: 2299211
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 37}
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id: 2299212
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 41}
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id: 2299213
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 43}
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id: 2299214
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 47}
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id: 2299215
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 53}
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id: 2299216
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 59}
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id: 2299217
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 61}
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id: 2299218
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 67}
-
id: 2299219
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 71}
-
id: 2299220
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 73}
-
id: 2299221
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 79}
-
id: 2299222
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 83}
-
id: 2299223
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 89}
-
id: 2299224
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 72057594071484288, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '1920.2.a.q', 'level': 1920, '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: 61314193
{'hecke_orbit_code': 72057594071484288, 'n': 1, 'trace_an': 1}
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id: 61314194
{'hecke_orbit_code': 72057594071484288, 'n': 2, 'trace_an': 0}
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id: 61314195
{'hecke_orbit_code': 72057594071484288, 'n': 3, 'trace_an': 1}
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id: 61314196
{'hecke_orbit_code': 72057594071484288, 'n': 4, 'trace_an': 0}
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id: 61314197
{'hecke_orbit_code': 72057594071484288, 'n': 5, 'trace_an': -1}
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id: 61314198
{'hecke_orbit_code': 72057594071484288, 'n': 6, 'trace_an': 0}
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id: 61314199
{'hecke_orbit_code': 72057594071484288, 'n': 7, 'trace_an': 2}
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id: 61314200
{'hecke_orbit_code': 72057594071484288, 'n': 8, 'trace_an': 0}
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id: 61314201
{'hecke_orbit_code': 72057594071484288, 'n': 9, 'trace_an': 1}
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id: 61314202
{'hecke_orbit_code': 72057594071484288, 'n': 10, 'trace_an': 0}
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