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- 2025-07-18T23:26:44.877024+00:00
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mf_newforms • Show schema
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{'Nk2': 3072, 'analytic_conductor': 6.132510875234334, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [768, 2, [511, 517, 257], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 385, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, 0, 1]], [7, [-2, 1]], [23, [-4, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518204328837888, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '768.2.d.f', 'level': 768, '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], 'level_radical': 6, 'minimal_twist': '384.2.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+i q^{3}+4 i q^{5}+2 q^{7}-q^{9}+4 i q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '768.2.d', 'trace_display': [0, 0, 0, 4], 'trace_hash': 666793186249621551, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.197', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '147.744', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.511', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, 0, 0, 8, 0, -22, 0, 0, 0, 0, 0, 12, 0, -8, 0, 0, 0, 0, 0, -4, 0, -12, 0, 0, 0, 0, 0, -8, 0, -6, 0, 0, 0, 0, 0, -32, 0, 16, 0, 0, 0, 0, 0, -4, 0, -16, 0, 0, 0, 0, 0, 24, 0, 20, 0, 0, 0, 0, 0, -20, 0, 2, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 64, 0, 20, 0, 0, 0, 0, 0, -20, 0, -16, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, -8, 0, -10, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 8, 0, 4, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 20, 0, 4, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 32, 0, 18, 0, 0, 0, 0, 0, -44, 0, 8, 0, 0, 0, 0, 0, -28, 0, -16, 0, 0, 0, 0, 0, -16, 0, -4, 0, 0, 0, 0, 0, 28, 0, 8, 0, 0, 0, 0, 0, -8, 0, 64, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 36, 0, 22, 0, 0, 0, 0, 0, -16, 0, 12, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 32, 0, -24, 0, 0, 0, 0, 0, 16, 0, 36, 0, 0, 0, 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16, 0, -96, 0, 0, 0, 0, 0, 16, 0, -20, 0, 0, 0, 0, 0, 32, 0, -92, 0, 0, 0, 0, 0, -48, 0, 8, 0, 0, 0, 0, 0, -96, 0, -16, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -12, 0, -24, 0, 0, 0, 0, 0, 20, 0, -84, 0, 0, 0, 0, 0, 64, 0, 76, 0, 0, 0, 0, 0, -48, 0, 16, 0, 0, 0, 0, 0, 48, 0, 4, 0, 0, 0, 0, 0, 8, 0, 10, 0, 0, 0, 0, 0, -4, 0, -32, 0, 0, 0, 0, 0, 44, 0, 12, 0, 0, 0, 0, 0, 112, 0, -64, 0, 0, 0, 0, 0, -20, 0, -40, 0, 0, 0, 0, 0, 4, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [0, 4], [0, 0], [2, 0], [0, 0], [-1, 0], [0, 0], [0, 4], [0, 0], [0, 2], [0, 0], [-4, 0], [0, 0], [-2, 0], [0, 0], [0, -8], [0, 0], [0, 2], [0, 0], [4, 0], [0, 0], [-11, 0], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [6, 0], [0, 0], [-4, 0], [0, 0], [0, 8], [0, 0], [0, 2], [0, 0], [-2, 0], [0, 0], [-6, 0], [0, 0], [0, 0], [0, 0], [0, -4], [0, 0], [-4, 0], [0, 0], [-3, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [-16, 0], [0, 0], [8, 0], [0, 0], [0, -4], [0, 0], [0, 14], [0, 0], [-2, 0], [0, 0], [-8, 0], [0, 0], [0, -4], [0, 0], [0, 4], [0, 0], [12, 0], [0, 0], [10, 0], [0, 0], [0, -11], [0, 0], [0, 8], [0, 0], [-10, 0], [0, 0], [1, 0], [0, 0], [0, 12], [0, 0], [0, -8], [0, 0], [0, 0], [0, 0], [14, 0], [0, 0], [0, 4], [0, 0], [0, 6], [0, 0], [32, 0], [0, 0], [10, 0], [0, 0], [0, -4], [0, 0]], 'ap': [[0, 0], [0, 1], [0, 4], [2, 0], [0, 4], [0, 2], [-2, 0], [0, -8], [4, 0], [0, 0], [6, 0], [0, 2], [-6, 0], [0, 0], [-4, 0], [0, 0], [0, -4], [0, 14], [0, -4], [12, 0], [10, 0], [-10, 0], [0, 12], [14, 0], [10, 0], [0, 0], [-10, 0], [0, 4], [0, -6], [2, 0], [2, 0], [0, -12], [2, 0], [0, -4], [0, -12], [10, 0], [0, -18], [0, -8], [16, 0], [0, 12], [0, 12], [0, 22], [-8, 0], [-2, 0], [0, 8], [14, 0], [0, -20], [18, 0], [0, 12], [0, 14], [6, 0], [0, 0], [-2, 0], [0, -12], [18, 0], [-24, 0], [0, 16], [-14, 0], [0, 6], [-18, 0], [0, -12], [0, -16], [0, 12], [-16, 0], [26, 0], [0, -24], [0, 20], [-2, 0], [0, 12], [0, -2], [-30, 0], [-4, 0], [38, 0], [0, 2], [0, -32], [24, 0], [0, 20], [0, 6], [6, 0], [14, 0], [0, -20], [0, 38], [-28, 0], [18, 0], [6, 0], [0, -36], [14, 0], [-18, 0], [0, 28], [26, 0], [0, -4], [-36, 0], [-14, 0], [0, -4], [0, 4], [44, 0], [0, -8], [-14, 0], [0, -16], [0, -14], [0, -16], [0, -28], [0, 36], [-38, 0], [0, -4], [38, 0], [0, -4], [-30, 0], [-36, 0], [-30, 0], [-14, 0], [0, -46], [14, 0], [0, 4], [34, 0], [-42, 0], [0, -48], [-12, 0], [0, -12], [0, -36], [0, -22], [34, 0], [0, -20], [0, 12], [0, 24], [0, -40], [0, -2], [36, 0], [42, 0], [0, 42], [0, 12], [-40, 0], [22, 0], [0, -2], [-22, 0], [14, 0], [0, -24], [0, -32], [0, -12], [18, 0], [0, 24], [0, 8], [-22, 0], [0, -44], [0, -38], [36, 0], [0, -38], [42, 0], [0, -8], [8, 0], [0, -34], [-46, 0], [0, -40], [-24, 0], [0, 8], [0, 0], [-6, 0], [-42, 0], [38, 0], [0, 28], [0, -52], [2, 0], [-2, 0], [0, -4], [6, 0], [56, 0], [-10, 0], [0, -54]], 'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 22518204328837888, 'hecke_ring_character_values': [[511, [1, 0]], [517, [-1, 0]], [257, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '768.2.d.f', 'level': 768, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3072, 'analytic_conductor': 6.132510875234334, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [768, 2, [511, 517, 257], [2, 1, 2]], 'conrey_index': 385, 'cusp_dim': 104, 'dim': 16, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 23], 'hecke_orbit_code': 206191985408, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2], 'label': '768.2.d', 'level': 768, '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], 'level_radical': 6, 'mf_dim': 152, 'mf_new_dim': 16, 'num_forms': 8, 'prim_orbit_index': 2, 'relative_dim': 16, 'sturm_bound': 256, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 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, -80, 0, 0, 0, 0, 0, 0, 0, -32, 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, 16, 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, 32, 0, 0, 0, 0, 0, 0, 0, 16, 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, 32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 64, 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, -224, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 64, 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, 192, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 128, 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, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 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, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 112, 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, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 192, 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, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 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, -32, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -256, 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, 368, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -96, 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: 488115
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '384.2.a.a', 'target_level': 384, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 488116
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '384.2.a.d', 'target_level': 384, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 488117
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '384.2.a.e', 'target_level': 384, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 488118
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '384.2.a.h', 'target_level': 384, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 488119
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '768.2.d.c', 'target_level': 768, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488120
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '768.2.d.c', 'target_level': 768, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 488121
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '768.2.d.f', 'target_level': 768, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 488122
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '768.2.d.f', 'target_level': 768, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488123
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1152.2.a.a', 'target_level': 1152, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 488124
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1152.2.a.b', 'target_level': 1152, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 488125
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1152.2.a.s', 'target_level': 1152, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 488126
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1152.2.a.t', 'target_level': 1152, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 488127
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2304.2.d.f', 'target_level': 2304, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488128
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2304.2.d.f', 'target_level': 2304, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 488129
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2304.2.d.o', 'target_level': 2304, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 488130
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2304.2.d.o', 'target_level': 2304, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 488131
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '9600.2.a.e', 'target_level': 9600, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 488132
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '9600.2.a.t', 'target_level': 9600, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 488133
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '9600.2.a.bk', 'target_level': 9600, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 488134
{'conductor': 80, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '768.2.d.f', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 52, 'target_is_minimal': False, 'target_label': '9600.2.a.bz', 'target_level': 9600, 'twist_class_label': '384.2.a.a', 'twist_class_level': 384, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1300575
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 2}
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id: 1300576
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 22518204328837888, 'p': 3}
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id: 1300577
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 22518204328837888, 'p': 5}
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id: 1300578
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 7}
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id: 1300579
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 22518204328837888, 'p': 11}
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id: 1300580
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 22518204328837888, 'p': 13}
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id: 1300581
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 17}
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id: 1300582
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 22518204328837888, 'p': 19}
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id: 1300583
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 23}
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id: 1300584
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 29}
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id: 1300585
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 31}
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id: 1300586
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 22518204328837888, 'p': 37}
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id: 1300587
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 41}
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id: 1300588
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 43}
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id: 1300589
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 47}
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id: 1300590
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 53}
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id: 1300591
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 22518204328837888, 'p': 59}
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id: 1300592
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 22518204328837888, 'p': 61}
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id: 1300593
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 22518204328837888, 'p': 67}
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id: 1300594
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 71}
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id: 1300595
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 73}
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id: 1300596
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 79}
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id: 1300597
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 22518204328837888, 'p': 83}
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id: 1300598
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 89}
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id: 1300599
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 22518204328837888, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 6, 'label': '768.2.d.f', 'level': 768, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44233045
{'hecke_orbit_code': 22518204328837888, 'n': 1, 'trace_an': 2}
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id: 44233046
{'hecke_orbit_code': 22518204328837888, 'n': 2, 'trace_an': 0}
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id: 44233047
{'hecke_orbit_code': 22518204328837888, 'n': 3, 'trace_an': 0}
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id: 44233048
{'hecke_orbit_code': 22518204328837888, 'n': 4, 'trace_an': 0}
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id: 44233049
{'hecke_orbit_code': 22518204328837888, 'n': 5, 'trace_an': 0}
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id: 44233050
{'hecke_orbit_code': 22518204328837888, 'n': 6, 'trace_an': 0}
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id: 44233051
{'hecke_orbit_code': 22518204328837888, 'n': 7, 'trace_an': 4}
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id: 44233052
{'hecke_orbit_code': 22518204328837888, 'n': 8, 'trace_an': 0}
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id: 44233053
{'hecke_orbit_code': 22518204328837888, 'n': 9, 'trace_an': -2}
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id: 44233054
{'hecke_orbit_code': 22518204328837888, 'n': 10, 'trace_an': 0}
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id: 44233055
{'hecke_orbit_code': 22518204328837888, 'n': 11, 'trace_an': 0}
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id: 44233056
{'hecke_orbit_code': 22518204328837888, 'n': 12, 'trace_an': 0}
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id: 44233057
{'hecke_orbit_code': 22518204328837888, 'n': 13, 'trace_an': 0}
-
id: 44233058
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