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mf_newforms • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'cm_discs': [], 'conrey_index': 148, 'conrey_indexes': [148, 323, 372, 729], 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]], [3, [81, -27, 9, -3, 1]], [13, [256, 64, 16, 4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525541022532431, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 3, 11, 3, 1, 5, 0]], 'is_cm': 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mf_hecke_cc • Show schema
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'hecke_orbit_code': 31525541022532431, 'label': '847.2.f.h.729.1', 'level': 847, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'conrey_index': 148, 'cusp_dim': 304, 'dim': 216, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 13], 'hecke_orbit_code': 343630938959, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 12, 12, 16, 16, 16, 24, 24], 'label': '847.2.f', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 400, 'mf_new_dim': 216, 'num_forms': 26, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 176, 'trace_bound': 7, 'trace_display': [4, 8, 4, 2], 'traces': [216, 4, 8, -52, 4, -6, 2, 2, -44, 16, 0, -36, 2, -3, 22, -74, 16, -15, -10, -14, -12, 0, -40, 14, -66, 10, 26, -11, 6, -12, 28, 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mf_twists_cc • Show schema
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id: 46283901
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 729, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022532431, 'target_is_minimal': False, 'target_label': '847.2.f.h.729.1', 'target_level': 847, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46283902
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554509, 'target_is_minimal': True, 'target_label': '77.2.a.a.1.1', 'target_level': 77, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46283903
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 148, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022532431, 'target_is_minimal': False, 'target_label': '847.2.f.h.148.1', 'target_level': 847, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46283904
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 323, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022532431, 'target_is_minimal': False, 'target_label': '847.2.f.h.323.1', 'target_level': 847, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46283905
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 372, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022532431, 'target_is_minimal': False, 'target_label': '847.2.f.h.372.1', 'target_level': 847, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 46283906
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 372, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029140649902927, 'target_is_minimal': False, 'target_label': '847.2.f.i.372.1', 'target_level': 847, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46283907
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 323, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029140649902927, 'target_is_minimal': False, 'target_label': '847.2.f.i.323.1', 'target_level': 847, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46283908
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 148, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029140649902927, 'target_is_minimal': False, 'target_label': '847.2.f.i.148.1', 'target_level': 847, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46283909
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925775, 'target_is_minimal': False, 'target_label': '847.2.a.b.1.1', 'target_level': 847, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46283910
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 729, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029140649902927, 'target_is_minimal': False, 'target_label': '847.2.f.i.729.1', 'target_level': 847, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 46283911
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296117, 'target_is_minimal': False, 'target_label': '693.2.a.c.1.1', 'target_level': 693, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '33.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46283912
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679896519, 'target_is_minimal': False, 'target_label': '7623.2.a.j.1.1', 'target_level': 7623, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '33.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46283913
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631120, 'target_is_minimal': False, 'target_label': '1232.2.a.l.1.1', 'target_level': 1232, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '44.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46283914
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1849, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014467262515077, 'target_is_minimal': False, 'target_label': '1925.2.b.e.1849.2', 'target_level': 1925, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '55.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46283915
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1849, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014467262515077, 'target_is_minimal': False, 'target_label': '1925.2.b.e.1849.1', 'target_level': 1925, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '55.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46283916
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425149829, 'target_is_minimal': False, 'target_label': '1925.2.a.h.1.1', 'target_level': 1925, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '55.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 46283917
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314395, 'target_is_minimal': False, 'target_label': '539.2.e.f.67.1', 'target_level': 539, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '77.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46283918
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288295963, 'target_is_minimal': False, 'target_label': '539.2.a.c.1.1', 'target_level': 539, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '77.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46283919
{'conductor': 77, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170412841, 'target_is_minimal': False, 'target_label': '5929.2.a.f.1.1', 'target_level': 5929, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '77.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46283920
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 177, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202907, 'target_is_minimal': False, 'target_label': '539.2.e.c.177.1', 'target_level': 539, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '77.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 46283921
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 177, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314395, 'target_is_minimal': False, 'target_label': '539.2.e.f.177.1', 'target_level': 539, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '77.46', 'twisting_conrey_index': 46, 'weight': 2}
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id: 46283922
{'conductor': 77, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202907, 'target_is_minimal': False, 'target_label': '539.2.e.c.67.1', 'target_level': 539, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '77.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 46283923
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991526720, 'target_is_minimal': False, 'target_label': '4928.2.a.bj.1.1', 'target_level': 4928, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '88.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46283924
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33559360, 'target_is_minimal': False, 'target_label': '4928.2.a.a.1.1', 'target_level': 4928, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '88.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46283925
{'conductor': 231, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679893747, 'target_is_minimal': False, 'target_label': '4851.2.a.j.1.1', 'target_level': 4851, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '231.167', 'twisting_conrey_index': 167, 'weight': 2}
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id: 46283926
{'conductor': 308, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 729, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 31525541022532431, 'source_is_minimal': False, 'source_label': '847.2.f.h.729.1', 'source_level': 847, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33563056, 'target_is_minimal': False, 'target_label': '8624.2.a.a.1.1', 'target_level': 8624, 'twist_class_label': '77.2.a.a.1.1', 'twist_class_level': 77, 'twisting_char_label': '308.167', 'twisting_conrey_index': 167, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1404500
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31525541022532431, 'p': 2}
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id: 1404501
{'charpoly_factorization': [[[81, -27, 9, -3, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 3}
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id: 1404502
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 5}
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id: 1404503
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 7}
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id: 1404504
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31525541022532431, 'p': 11}
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id: 1404505
{'charpoly_factorization': [[[256, 64, 16, 4, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 13}
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id: 1404506
{'charpoly_factorization': [[[16, -8, 4, -2, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 17}
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id: 1404507
{'charpoly_factorization': [[[1296, 216, 36, 6, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 19}
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id: 1404508
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 31525541022532431, 'p': 23}
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id: 1404509
{'charpoly_factorization': [[[10000, -1000, 100, -10, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 29}
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id: 1404510
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 31}
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id: 1404511
{'charpoly_factorization': [[[625, -125, 25, -5, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 37}
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id: 1404512
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 41}
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id: 1404513
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 31525541022532431, 'p': 43}
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id: 1404514
{'charpoly_factorization': [[[4096, 512, 64, 8, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 47}
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id: 1404515
{'charpoly_factorization': [[[1296, -216, 36, -6, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 53}
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id: 1404516
{'charpoly_factorization': [[[81, 27, 9, 3, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 59}
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id: 1404517
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 61}
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id: 1404518
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 31525541022532431, 'p': 67}
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id: 1404519
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 71}
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id: 1404520
{'charpoly_factorization': [[[10000, -1000, 100, -10, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 73}
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id: 1404521
{'charpoly_factorization': [[[1296, -216, 36, -6, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 79}
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id: 1404522
{'charpoly_factorization': [[[20736, -1728, 144, -12, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 83}
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id: 1404523
{'charpoly_factorization': [[[15, 1], 4]], 'hecke_orbit_code': 31525541022532431, 'p': 89}
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id: 1404524
{'charpoly_factorization': [[[625, -125, 25, -5, 1], 1]], 'hecke_orbit_code': 31525541022532431, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 8, 'label': '847.2.f.h', 'level': 847, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 193596000
{'hecke_orbit_code': 31525541022532431, 'n': 1, 'trace_an': 4}
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id: 193596001
{'hecke_orbit_code': 31525541022532431, 'n': 2, 'trace_an': 0}
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id: 193596002
{'hecke_orbit_code': 31525541022532431, 'n': 3, 'trace_an': 3}
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id: 193596003
{'hecke_orbit_code': 31525541022532431, 'n': 4, 'trace_an': 2}
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id: 193596004
{'hecke_orbit_code': 31525541022532431, 'n': 5, 'trace_an': 1}
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id: 193596005
{'hecke_orbit_code': 31525541022532431, 'n': 6, 'trace_an': 0}
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id: 193596006
{'hecke_orbit_code': 31525541022532431, 'n': 7, 'trace_an': -1}
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id: 193596007
{'hecke_orbit_code': 31525541022532431, 'n': 8, 'trace_an': 0}
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id: 193596008
{'hecke_orbit_code': 31525541022532431, 'n': 9, 'trace_an': -6}
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id: 193596009
{'hecke_orbit_code': 31525541022532431, 'n': 10, 'trace_an': 0}
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id: 193596010
{'hecke_orbit_code': 31525541022532431, 'n': 11, 'trace_an': 0}
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id: 193596011
{'hecke_orbit_code': 31525541022532431, 'n': 12, 'trace_an': 24}
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id: 193596012
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