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mf_newforms • Show schema
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{'Nk2': 448, 'analytic_conductor': 1.6520534801607372, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 28, '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': [28, 2, [15, 17], [1, 1]], 'cm_discs': [], 'conrey_index': 27, 'dim': 8, 'field_disc': 2037630631936, 'field_disc_factorization': [[2, 22], [17, 2], [41, 2]], 'field_poly': [8978, 1072, -3172, -464, 493, 84, -30, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1312, 0, -80, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805852909596, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4096, 'hecke_ring_index_factorization': [[2, 12]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 7, 2, -1, 2, 0], [1, 1, 28, 4, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '28.4.d.b', 'level': 28, '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, 7], 'level_radical': 14, 'minimal_twist': '28.4.d.b', 'prim_orbit_index': 4, 'qexp_display': 'q+(-1+\\beta _{2})q^{2}+\\beta _{1}q^{3}+(-2-\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '28.4.d', 'trace_display': [-8, 0, 0, 0], 'trace_hash': 628744848089718999, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.789', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.046', 'prec': 17}, {'__RealLiteral__': 0, 'data': '482.783', 'prec': 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mf_hecke_cc • Show schema
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'hecke_orbit': 2, 'hecke_orbit_code': 4503805852909596, 'label': '28.4.d.b.27.1', 'level': 28, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 448, 'analytic_conductor': 1.6520534801607372, 'char_conductor': 28, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [28, 2, [15, 17], [1, 1]], 'conrey_index': 27, 'cusp_dim': 10, 'dim': 10, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 206225539100, 'hecke_orbit_dims': [2, 8], 'label': '28.4.d', 'level': 28, '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, 7], 'level_radical': 14, 'mf_dim': 14, 'mf_new_dim': 14, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 10, 'sturm_bound': 16, 'trace_bound': 1, 'trace_display': [-3, 0, 0, 0], 'traces': [10, -3, 0, -7, 0, 0, 0, -27, 50, 0, 0, 0, 0, -103, 0, 17, 0, -47, 0, 0, -64, 310, 0, 0, -222, 0, 0, 197, -260, 256, 0, 877, 0, 0, 0, -1219, 492, 0, 0, 0, 0, -1024, 0, 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mf_twists_cc • Show schema
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id: 34935208
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 27, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503805852909596, 'target_is_minimal': True, 'target_label': '28.4.d.b.27.1', 'target_level': 28, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 34935209
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 55, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 13510867668697340, 'target_is_minimal': False, 'target_label': '252.4.b.d.55.7', 'target_level': 252, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 34935210
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 27, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503805852909596, 'target_is_minimal': True, 'target_label': '28.4.d.b.27.4', 'target_level': 28, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34935211
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 31, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007542919233732, 'target_is_minimal': False, 'target_label': '196.4.f.c.31.4', 'target_level': 196, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 34935212
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007542919233732, 'target_is_minimal': False, 'target_label': '196.4.f.c.19.7', 'target_level': 196, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34935213
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007542919233732, 'target_is_minimal': False, 'target_label': '196.4.f.c.19.8', 'target_level': 196, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 34935214
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 31, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007542919233732, 'target_is_minimal': False, 'target_label': '196.4.f.c.31.3', 'target_level': 196, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 34935215
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 27, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503805852909596, 'target_is_minimal': True, 'target_label': '28.4.d.b.27.2', 'target_level': 28, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 34935216
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 447, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511142546604480, 'target_is_minimal': False, 'target_label': '448.4.f.d.447.3', 'target_level': 448, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34935217
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 447, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13511142546604480, 'target_is_minimal': False, 'target_label': '448.4.f.d.447.5', 'target_level': 448, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 34935218
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 55, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 13510867668697340, 'target_is_minimal': False, 'target_label': '252.4.b.d.55.5', 'target_level': 252, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 34935219
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 55, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13510867668697340, 'target_is_minimal': False, 'target_label': '252.4.b.d.55.8', 'target_level': 252, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 34935220
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007542919233732, 'target_is_minimal': False, 'target_label': '196.4.f.c.19.4', 'target_level': 196, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 34935221
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007542919233732, 'target_is_minimal': False, 'target_label': '196.4.f.c.19.3', 'target_level': 196, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 34935222
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 31, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007542919233732, 'target_is_minimal': False, 'target_label': '196.4.f.c.31.8', 'target_level': 196, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 34935223
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 31, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007542919233732, 'target_is_minimal': False, 'target_label': '196.4.f.c.31.7', 'target_level': 196, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 34935224
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 27, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503805852909596, 'target_is_minimal': True, 'target_label': '28.4.d.b.27.3', 'target_level': 28, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 34935225
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 447, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511142546604480, 'target_is_minimal': False, 'target_label': '448.4.f.d.447.4', 'target_level': 448, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '56.13', 'twisting_conrey_index': 13, 'weight': 4}
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id: 34935226
{'conductor': 56, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 447, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13511142546604480, 'target_is_minimal': False, 'target_label': '448.4.f.d.447.6', 'target_level': 448, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '56.27', 'twisting_conrey_index': 27, 'weight': 4}
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id: 34935227
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 27, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503805852909596, 'source_is_minimal': True, 'source_label': '28.4.d.b.27.1', 'source_level': 28, 'target_conrey_index': 55, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 13510867668697340, 'target_is_minimal': False, 'target_label': '252.4.b.d.55.6', 'target_level': 252, 'twist_class_label': '28.4.d.b.27.1', 'twist_class_level': 28, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 107000
{'charpoly_factorization': [[[64, 32, 12, 4, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 2}
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id: 107001
{'charpoly_factorization': [[[1312, 0, -80, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 3}
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id: 107002
{'charpoly_factorization': [[[22304, 0, 368, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 5}
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id: 107003
{'charpoly_factorization': [[[13841287201, 0, -87060260, 0, 285670, 0, -740, 0, 1], 1]], 'hecke_orbit_code': 4503805852909596, 'p': 7}
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id: 107004
{'charpoly_factorization': [[[272, 0, 1720, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 11}
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id: 107005
{'charpoly_factorization': [[[11798816, 0, 7792, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 13}
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id: 107006
{'charpoly_factorization': [[[5709824, 0, 7936, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 17}
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id: 107007
{'charpoly_factorization': [[[694048, 0, -2128, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 19}
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id: 107008
{'charpoly_factorization': [[[132140048, 0, 23800, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 23}
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id: 107009
{'charpoly_factorization': [[[-4892, 148, 1], 4]], 'hecke_orbit_code': 4503805852909596, 'p': 29}
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id: 107010
{'charpoly_factorization': [[[108822528, 0, -23040, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 31}
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id: 107011
{'charpoly_factorization': [[[24004, -348, 1], 4]], 'hecke_orbit_code': 4503805852909596, 'p': 37}
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id: 107012
{'charpoly_factorization': [[[342946304, 0, 58304, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 41}
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id: 107013
{'charpoly_factorization': [[[141396752, 0, 34360, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 43}
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id: 107014
{'charpoly_factorization': [[[1789861888, 0, -103680, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 47}
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id: 107015
{'charpoly_factorization': [[[-163516, 292, 1], 4]], 'hecke_orbit_code': 4503805852909596, 'p': 53}
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id: 107016
{'charpoly_factorization': [[[67995188512, 0, -570320, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 59}
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id: 107017
{'charpoly_factorization': [[[6445856, 0, 606832, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 61}
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id: 107018
{'charpoly_factorization': [[[12017669648, 0, 343672, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 67}
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id: 107019
{'charpoly_factorization': [[[9248152592, 0, 275576, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 71}
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id: 107020
{'charpoly_factorization': [[[1798951424, 0, 92864, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 73}
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id: 107021
{'charpoly_factorization': [[[108115639568, 0, 1466680, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 79}
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id: 107022
{'charpoly_factorization': [[[340971272992, 0, -1267920, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 83}
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id: 107023
{'charpoly_factorization': [[[661026681344, 0, 1846976, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 89}
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id: 107024
{'charpoly_factorization': [[[1135775350784, 0, 3065344, 0, 1], 2]], 'hecke_orbit_code': 4503805852909596, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '28.4.d.b', 'level': 28, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 84124000
{'hecke_orbit_code': 4503805852909596, 'n': 1, 'trace_an': 8}
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id: 84124001
{'hecke_orbit_code': 4503805852909596, 'n': 2, 'trace_an': -8}
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id: 84124002
{'hecke_orbit_code': 4503805852909596, 'n': 3, 'trace_an': 0}
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id: 84124003
{'hecke_orbit_code': 4503805852909596, 'n': 4, 'trace_an': -16}
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id: 84124004
{'hecke_orbit_code': 4503805852909596, 'n': 5, 'trace_an': 0}
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id: 84124005
{'hecke_orbit_code': 4503805852909596, 'n': 6, 'trace_an': 0}
-
id: 84124006
{'hecke_orbit_code': 4503805852909596, 'n': 7, 'trace_an': 0}
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id: 84124007
{'hecke_orbit_code': 4503805852909596, 'n': 8, 'trace_an': -32}
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id: 84124008
{'hecke_orbit_code': 4503805852909596, 'n': 9, 'trace_an': 104}
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id: 84124009
{'hecke_orbit_code': 4503805852909596, 'n': 10, 'trace_an': 0}
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id: 84124010
{'hecke_orbit_code': 4503805852909596, 'n': 11, 'trace_an': 0}
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id: 84124011
{'hecke_orbit_code': 4503805852909596, 'n': 12, 'trace_an': 0}
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id: 84124012
{'hecke_orbit_code': 4503805852909596, 'n': 13, 'trace_an': 0}
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id: 84124013
{'hecke_orbit_code': 4503805852909596, 'n': 14, 'trace_an': -152}
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id: 84124014
{'hecke_orbit_code': 4503805852909596, 'n': 15, 'trace_an': 0}
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id: 84124015
{'hecke_orbit_code': 4503805852909596, 'n': 16, 'trace_an': 64}
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id: 84124016
{'hecke_orbit_code': 4503805852909596, 'n': 17, 'trace_an': 0}
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id: 84124017
{'hecke_orbit_code': 4503805852909596, 'n': 18, 'trace_an': 88}
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id: 84124018
{'hecke_orbit_code': 4503805852909596, 'n': 19, 'trace_an': 0}
-
id: 84124019
{'hecke_orbit_code': 4503805852909596, 'n': 20, 'trace_an': 0}
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id: 84124020
{'hecke_orbit_code': 4503805852909596, 'n': 21, 'trace_an': -64}
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id: 84124021
{'hecke_orbit_code': 4503805852909596, 'n': 22, 'trace_an': 240}
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id: 84124022
{'hecke_orbit_code': 4503805852909596, 'n': 23, 'trace_an': 0}
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id: 84124023
{'hecke_orbit_code': 4503805852909596, 'n': 24, 'trace_an': 0}
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id: 84124024
{'hecke_orbit_code': 4503805852909596, 'n': 25, 'trace_an': -472}
-
id: 84124025
{'hecke_orbit_code': 4503805852909596, 'n': 26, 'trace_an': 0}
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id: 84124026
{'hecke_orbit_code': 4503805852909596, 'n': 27, 'trace_an': 0}
-
id: 84124027
{'hecke_orbit_code': 4503805852909596, 'n': 28, 'trace_an': -48}
-
id: 84124028
{'hecke_orbit_code': 4503805852909596, 'n': 29, 'trace_an': -592}
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id: 84124029
{'hecke_orbit_code': 4503805852909596, 'n': 30, 'trace_an': 256}
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id: 84124030
{'hecke_orbit_code': 4503805852909596, 'n': 31, 'trace_an': 0}
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id: 84124031
{'hecke_orbit_code': 4503805852909596, 'n': 32, 'trace_an': 1152}
-
id: 84124032
{'hecke_orbit_code': 4503805852909596, 'n': 33, 'trace_an': 0}
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id: 84124033
{'hecke_orbit_code': 4503805852909596, 'n': 34, 'trace_an': 0}
-
id: 84124034
{'hecke_orbit_code': 4503805852909596, 'n': 35, 'trace_an': 0}
-
id: 84124035
{'hecke_orbit_code': 4503805852909596, 'n': 36, 'trace_an': -976}
-
id: 84124036
{'hecke_orbit_code': 4503805852909596, 'n': 37, 'trace_an': 1392}
-
id: 84124037
{'hecke_orbit_code': 4503805852909596, 'n': 38, 'trace_an': 0}
-
id: 84124038
{'hecke_orbit_code': 4503805852909596, 'n': 39, 'trace_an': 0}
-
id: 84124039
{'hecke_orbit_code': 4503805852909596, 'n': 40, 'trace_an': 0}
-
id: 84124040
{'hecke_orbit_code': 4503805852909596, 'n': 41, 'trace_an': 0}
-
id: 84124041
{'hecke_orbit_code': 4503805852909596, 'n': 42, 'trace_an': -1024}
-
id: 84124042
{'hecke_orbit_code': 4503805852909596, 'n': 43, 'trace_an': 0}
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id: 84124043
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