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mf_newforms • Show schema
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{'Nk2': 18432, 'analytic_conductor': 67.97020032661318, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1152, 2, [127, 901, 641], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 577, '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, [64, 0, 1]], [7, [-12, 1]], [17, [62, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021803989763200, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 18432, 'analytic_conductor': 67.97020032661318, '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': [1152, 2, [127, 901, 641], [2, 1, 2]], 'conrey_index': 577, 'cusp_dim': 544, 'dim': 60, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17], 'hecke_orbit_code': 206225540224, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '1152.4.d', 'level': 1152, 'level_is_powerful': True, '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': 608, 'mf_new_dim': 60, 'num_forms': 17, 'prim_orbit_index': 2, 'relative_dim': 60, 'sturm_bound': 768, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -1588, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -392, 0, 0, 0, 0, 0, 0, 0, 1500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1960, 0, 0, 0, 0, 0, 0, 0, 2008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5368, 0, 0, 0, 0, 0, 0, 0, -6588, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7624, 0, 0, 0, 0, 0, 0, 0, 4800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -23924, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 6072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11664, 0, 0, 0, 0, 0, 0, 0, -21184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6232, 0, 0, 0, 0, 0, 0, 0, 4056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8696, 0, 0, 0, 0, 0, 0, 0, -9408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4840, 0, 0, 0, 0, 0, 0, 0, 46804, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15264, 0, 0, 0, 0, 0, 0, 0, -34248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43968, 0, 0, 0, 0, 0, 0, 0, 53976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21112, 0, 0, 0, 0, 0, 0, 0, -38684, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29536, 0, 0, 0, 0, 0, 0, 0, 62720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45976, 0, 0, 0, 0, 0, 0, 0, -44264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25528, 0, 0, 0, 0, 0, 0, 0, 74424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3880, 0, 0, 0, 0, 0, 0, 0, -52648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42768, 0, 0, 0, 0, 0, 0, 0, -30112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21312, 0, 0, 0, 0, 0, 0, 0, -2880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52472, 0, 0, 0, 0, 0, 0, 0, 8412, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48992, 0, 0, 0, 0, 0, 0, 0, -26176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 97400, 0, 0, 0, 0, 0, 0, 0, 21752, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1976, 0, 0, 0, 0, 0, 0, 0, 79608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -57640, 0, 0, 0, 0, 0, 0, 0, 71196, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -113000, 0, 0, 0, 0, 0, 0, 0, 49040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -33408, 0, 0, 0, 0, 0, 0, 0, -30344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20384, 0, 0, 0, 0, 0, 0, 0, 720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28224, 0, 0, 0, 0, 0, 0, 0, -156096, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188016, 0, 0, 0, 0, 0, 0, 0, 165760, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21496, 0, 0, 0, 0, 0, 0, 0, 42424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24864, 0, 0, 0, 0, 0, 0, 0, 73888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 186616, 0, 0, 0, 0, 0, 0, 0, -239920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -209512, 0, 0, 0, 0, 0, 0, 0, 138412, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -55688, 0, 0, 0, 0, 0, 0, 0, -182016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -122440, 0, 0, 0, 0, 0, 0, 0, -21824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -286304, 0, 0, 0, 0, 0, 0, 0, -142896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8920, 0, 0, 0, 0, 0, 0, 0, -156936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 199352, 0, 0, 0, 0, 0, 0, 0, -49412, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13976, 0, 0, 0, 0, 0, 0, 0, 102848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45764901
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 577, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021803989763200, 'target_is_minimal': False, 'target_label': '1152.4.d.g.577.2', 'target_level': 1152, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 45764902
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805852909952, 'target_is_minimal': True, 'target_label': '384.4.d.b.193.1', 'target_level': 384, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 45764903
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 577, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805852910720, 'target_is_minimal': False, 'target_label': '1152.4.d.b.577.2', 'target_level': 1152, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 45764904
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 577, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805852910720, 'target_is_minimal': False, 'target_label': '1152.4.d.b.577.1', 'target_level': 1152, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 45764905
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 577, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021803989763200, 'target_is_minimal': False, 'target_label': '1152.4.d.g.577.1', 'target_level': 1152, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 45764906
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 206225539456, 'target_is_minimal': True, 'target_label': '384.4.d.a.193.2', 'target_level': 384, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 45764907
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968186624, 'target_is_minimal': False, 'target_label': '2304.4.a.l.1.1', 'target_level': 2304, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 45764908
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398576593152, 'target_is_minimal': False, 'target_label': '2304.4.a.e.1.1', 'target_level': 2304, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 45764909
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998203963648, 'target_is_minimal': False, 'target_label': '2304.4.a.f.1.1', 'target_level': 2304, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 45764910
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996340816128, 'target_is_minimal': False, 'target_label': '2304.4.a.k.1.1', 'target_level': 2304, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 45764911
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805852909952, 'target_is_minimal': True, 'target_label': '384.4.d.b.193.2', 'target_level': 384, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 45764912
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 193, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 206225539456, 'target_is_minimal': True, 'target_label': '384.4.d.a.193.1', 'target_level': 384, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 45764913
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599694480128, 'target_is_minimal': False, 'target_label': '768.4.a.b.1.1', 'target_level': 768, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 45764914
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798949221120, 'target_is_minimal': False, 'target_label': '768.4.a.d.1.1', 'target_level': 768, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 45764915
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199321850624, 'target_is_minimal': False, 'target_label': '768.4.a.c.1.1', 'target_level': 768, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 45764916
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 577, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27021803989763200, 'source_is_minimal': False, 'source_label': '1152.4.d.g.577.2', 'source_level': 1152, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67109632, 'target_is_minimal': False, 'target_label': '768.4.a.a.1.1', 'target_level': 768, 'twist_class_label': '384.4.d.a.193.1', 'twist_class_level': 384, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1725775
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 2}
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id: 1725776
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 3}
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id: 1725777
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 5}
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id: 1725778
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 7}
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id: 1725779
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 11}
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id: 1725780
{'charpoly_factorization': [[[400, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 13}
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id: 1725781
{'charpoly_factorization': [[[62, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 17}
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id: 1725782
{'charpoly_factorization': [[[11664, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 19}
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id: 1725783
{'charpoly_factorization': [[[-72, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 23}
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id: 1725784
{'charpoly_factorization': [[[16384, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 29}
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id: 1725785
{'charpoly_factorization': [[[204, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 31}
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id: 1725786
{'charpoly_factorization': [[[51984, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 37}
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id: 1725787
{'charpoly_factorization': [[[-22, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 41}
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id: 1725788
{'charpoly_factorization': [[[41616, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 43}
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id: 1725789
{'charpoly_factorization': [[[-600, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 47}
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id: 1725790
{'charpoly_factorization': [[[65536, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 53}
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id: 1725791
{'charpoly_factorization': [[[685584, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 59}
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id: 1725792
{'charpoly_factorization': [[[7056, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 61}
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id: 1725793
{'charpoly_factorization': [[[121104, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 67}
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id: 1725794
{'charpoly_factorization': [[[456, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 71}
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id: 1725795
{'charpoly_factorization': [[[-822, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 73}
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id: 1725796
{'charpoly_factorization': [[[1356, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 79}
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id: 1725797
{'charpoly_factorization': [[[11664, 0, 1], 1]], 'hecke_orbit_code': 27021803989763200, 'p': 83}
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id: 1725798
{'charpoly_factorization': [[[-938, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 89}
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id: 1725799
{'charpoly_factorization': [[[-1278, 1], 2]], 'hecke_orbit_code': 27021803989763200, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 7, 'label': '1152.4.d.g', 'level': 1152, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 47269447
{'hecke_orbit_code': 27021803989763200, 'n': 1, 'trace_an': 2}
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id: 47269448
{'hecke_orbit_code': 27021803989763200, 'n': 2, 'trace_an': 0}
-
id: 47269449
{'hecke_orbit_code': 27021803989763200, 'n': 3, 'trace_an': 0}
-
id: 47269450
{'hecke_orbit_code': 27021803989763200, 'n': 4, 'trace_an': 0}
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id: 47269451
{'hecke_orbit_code': 27021803989763200, 'n': 5, 'trace_an': 0}
-
id: 47269452
{'hecke_orbit_code': 27021803989763200, 'n': 6, 'trace_an': 0}
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id: 47269453
{'hecke_orbit_code': 27021803989763200, 'n': 7, 'trace_an': 24}
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id: 47269454
{'hecke_orbit_code': 27021803989763200, 'n': 8, 'trace_an': 0}
-
id: 47269455
{'hecke_orbit_code': 27021803989763200, 'n': 9, 'trace_an': 0}
-
id: 47269456
{'hecke_orbit_code': 27021803989763200, 'n': 10, 'trace_an': 0}
-
id: 47269457
{'hecke_orbit_code': 27021803989763200, 'n': 11, 'trace_an': 0}
-
id: 47269458
{'hecke_orbit_code': 27021803989763200, 'n': 12, 'trace_an': 0}
-
id: 47269459
{'hecke_orbit_code': 27021803989763200, 'n': 13, 'trace_an': 0}
-
id: 47269460
{'hecke_orbit_code': 27021803989763200, 'n': 14, 'trace_an': 0}
-
id: 47269461
{'hecke_orbit_code': 27021803989763200, 'n': 15, 'trace_an': 0}
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id: 47269462
{'hecke_orbit_code': 27021803989763200, 'n': 16, 'trace_an': 0}
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id: 47269463
{'hecke_orbit_code': 27021803989763200, 'n': 17, 'trace_an': -124}
-
id: 47269464
{'hecke_orbit_code': 27021803989763200, 'n': 18, 'trace_an': 0}
-
id: 47269465
{'hecke_orbit_code': 27021803989763200, 'n': 19, 'trace_an': 0}
-
id: 47269466
{'hecke_orbit_code': 27021803989763200, 'n': 20, 'trace_an': 0}
-
id: 47269467
{'hecke_orbit_code': 27021803989763200, 'n': 21, 'trace_an': 0}
-
id: 47269468
{'hecke_orbit_code': 27021803989763200, 'n': 22, 'trace_an': 0}
-
id: 47269469
{'hecke_orbit_code': 27021803989763200, 'n': 23, 'trace_an': 144}
-
id: 47269470
{'hecke_orbit_code': 27021803989763200, 'n': 24, 'trace_an': 0}
-
id: 47269471
{'hecke_orbit_code': 27021803989763200, 'n': 25, 'trace_an': 122}
-
id: 47269472
{'hecke_orbit_code': 27021803989763200, 'n': 26, 'trace_an': 0}
-
id: 47269473
{'hecke_orbit_code': 27021803989763200, 'n': 27, 'trace_an': 0}
-
id: 47269474
{'hecke_orbit_code': 27021803989763200, 'n': 28, 'trace_an': 0}
-
id: 47269475
{'hecke_orbit_code': 27021803989763200, 'n': 29, 'trace_an': 0}
-
id: 47269476
{'hecke_orbit_code': 27021803989763200, 'n': 30, 'trace_an': 0}
-
id: 47269477
{'hecke_orbit_code': 27021803989763200, 'n': 31, 'trace_an': -408}
-
id: 47269478
{'hecke_orbit_code': 27021803989763200, 'n': 32, 'trace_an': 0}
-
id: 47269479
{'hecke_orbit_code': 27021803989763200, 'n': 33, 'trace_an': 0}
-
id: 47269480
{'hecke_orbit_code': 27021803989763200, 'n': 34, 'trace_an': 0}
-
id: 47269481
{'hecke_orbit_code': 27021803989763200, 'n': 35, 'trace_an': 0}
-
id: 47269482
{'hecke_orbit_code': 27021803989763200, 'n': 36, 'trace_an': 0}
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