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{'Nk2': 35280, 'analytic_conductor': 130.09921156265804, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [7, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2205, 1, [1226, 442, 1081], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 44, 'field_disc_factorization': [[2, 2], [11, 1]], 'field_poly': [-11, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-10, 2, 1]], [11, [913, 66, 1]], [13, [-4375, 10, 1]], [17, [-3175, -70, 1]]], 'hecke_orbit': 24, 'hecke_orbit_code': 103582791496632477, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2205.4.a.x', 'level': 2205, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '245.4.a.i', 'nf_label': '2.2.44.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta )q^{2}+(4-2\\beta )q^{4}+5q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2205.4.a', 'trace_display': [-2, 0, 10, 0], 'trace_hash': 921648953917885186, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.920', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 3.3166247903554, 'hecke_orbit': 24, 'hecke_orbit_code': 103582791496632477, 'label': '2205.4.a.x.1.2', 'level': 2205, 'weight': 4}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [7, -1]], 30, 15], [[[3, 1], [5, 1], [7, -1]], 21, 6], [[[3, 1], [5, -1], [7, -1]], 21, 6], [[[3, 1], [5, 1], [7, 1]], 20, 2], [[[3, -1], [5, -1], [7, 1]], 31, 7], [[[3, 1], [5, -1], [7, 1]], 20, 2], [[[3, -1], [5, 1], [7, -1]], 33, 16], [[[3, -1], [5, 1], [7, 1]], 29, 7]], 'ALdims': [20, 21, 20, 21, 29, 33, 31, 30], 'Nk2': 35280, 'analytic_conductor': 130.09921156265804, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2205, 1, [1226, 442, 1081], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 976, 'dim': 205, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13, 17], 'hecke_orbit_code': 67111069, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 12, 12], 'label': '2205.4.a', 'level': 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0, 1614896, -2136588, 0, 227320, 0, 0, 242224, -318608, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 48515161
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791496632477, 'source_is_minimal': False, 'source_label': '2205.4.a.x.1.2', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791496632477, 'target_is_minimal': False, 'target_label': '2205.4.a.x.1.2', 'target_level': 2205, 'twist_class_label': '245.4.a.i.1.1', 'twist_class_level': 245, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48515162
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791496632477, 'source_is_minimal': False, 'source_label': '2205.4.a.x.1.2', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797086073077, 'target_is_minimal': True, 'target_label': '245.4.a.i.1.1', 'target_level': 245, 'twist_class_label': '245.4.a.i.1.1', 'twist_class_level': 245, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48515163
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791496632477, 'source_is_minimal': False, 'source_label': '2205.4.a.x.1.2', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079191869261981, 'target_is_minimal': False, 'target_label': '2205.4.a.w.1.2', 'target_level': 2205, 'twist_class_label': '245.4.a.i.1.1', 'twist_class_level': 245, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 48515164
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791496632477, 'source_is_minimal': False, 'source_label': '2205.4.a.x.1.2', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594105038025, 'target_is_minimal': False, 'target_label': '1225.4.a.q.1.2', 'target_level': 1225, 'twist_class_label': '245.4.a.i.1.1', 'twist_class_level': 245, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 48515165
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791496632477, 'source_is_minimal': False, 'source_label': '2205.4.a.x.1.2', 'source_level': 2205, 'target_conrey_index': 116, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036271218721013, 'target_is_minimal': False, 'target_label': '245.4.e.k.116.2', 'target_level': 245, 'twist_class_label': '245.4.a.i.1.1', 'twist_class_level': 245, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 48515166
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791496632477, 'source_is_minimal': False, 'source_label': '2205.4.a.x.1.2', 'source_level': 2205, 'target_conrey_index': 116, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532671591350517, 'target_is_minimal': False, 'target_label': '245.4.e.j.116.2', 'target_level': 245, 'twist_class_label': '245.4.a.i.1.1', 'twist_class_level': 245, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 48515167
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791496632477, 'source_is_minimal': False, 'source_label': '2205.4.a.x.1.2', 'source_level': 2205, 'target_conrey_index': 226, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036271218721013, 'target_is_minimal': False, 'target_label': '245.4.e.k.226.2', 'target_level': 245, 'twist_class_label': '245.4.a.i.1.1', 'twist_class_level': 245, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 48515168
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791496632477, 'source_is_minimal': False, 'source_label': '2205.4.a.x.1.2', 'source_level': 2205, 'target_conrey_index': 226, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532671591350517, 'target_is_minimal': False, 'target_label': '245.4.e.j.226.2', 'target_level': 245, 'twist_class_label': '245.4.a.i.1.1', 'twist_class_level': 245, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 4}
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id: 48515169
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791496632477, 'source_is_minimal': False, 'source_label': '2205.4.a.x.1.2', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396713443573, 'target_is_minimal': True, 'target_label': '245.4.a.j.1.1', 'target_level': 245, 'twist_class_label': '245.4.a.i.1.1', 'twist_class_level': 245, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 4}
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id: 48515170
{'conductor': 105, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 103582791496632477, 'source_is_minimal': False, 'source_label': '2205.4.a.x.1.2', 'source_level': 2205, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994477667529, 'target_is_minimal': False, 'target_label': '1225.4.a.p.1.2', 'target_level': 1225, 'twist_class_label': '245.4.a.i.1.1', 'twist_class_level': 245, 'twisting_char_label': '105.104', 'twisting_conrey_index': 104, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 2486000
{'charpoly_factorization': [[[-10, 2, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 2}
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id: 2486001
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791496632477, 'p': 3}
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id: 2486002
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 103582791496632477, 'p': 5}
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id: 2486003
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 103582791496632477, 'p': 7}
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id: 2486004
{'charpoly_factorization': [[[913, 66, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 11}
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id: 2486005
{'charpoly_factorization': [[[-4375, 10, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 13}
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id: 2486006
{'charpoly_factorization': [[[-3175, -70, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 17}
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id: 2486007
{'charpoly_factorization': [[[500, 140, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 19}
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id: 2486008
{'charpoly_factorization': [[[-8560, -16, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 23}
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id: 2486009
{'charpoly_factorization': [[[-8703, -258, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 29}
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id: 2486010
{'charpoly_factorization': [[[-39500, -20, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 31}
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id: 2486011
{'charpoly_factorization': [[[5600, -328, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 37}
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id: 2486012
{'charpoly_factorization': [[[-87500, -300, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 41}
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id: 2486013
{'charpoly_factorization': [[[1780, 116, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 43}
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id: 2486014
{'charpoly_factorization': [[[-17375, 30, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 47}
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id: 2486015
{'charpoly_factorization': [[[-85500, 540, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 53}
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id: 2486016
{'charpoly_factorization': [[[18500, -380, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 59}
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id: 2486017
{'charpoly_factorization': [[[252000, 1080, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 61}
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id: 2486018
{'charpoly_factorization': [[[-46620, -468, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 67}
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id: 2486019
{'charpoly_factorization': [[[233728, -1056, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 71}
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id: 2486020
{'charpoly_factorization': [[[-255100, -860, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 73}
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id: 2486021
{'charpoly_factorization': [[[-1325903, -158, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 79}
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id: 2486022
{'charpoly_factorization': [[[-439600, -40, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 83}
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id: 2486023
{'charpoly_factorization': [[[-1574000, 240, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 89}
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id: 2486024
{'charpoly_factorization': [[[307825, 1630, 1], 1]], 'hecke_orbit_code': 103582791496632477, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 24, 'label': '2205.4.a.x', 'level': 2205, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 256765000
{'hecke_orbit_code': 103582791496632477, 'n': 1, 'trace_an': 2}
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id: 256765001
{'hecke_orbit_code': 103582791496632477, 'n': 2, 'trace_an': -2}
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id: 256765002
{'hecke_orbit_code': 103582791496632477, 'n': 3, 'trace_an': 0}
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id: 256765003
{'hecke_orbit_code': 103582791496632477, 'n': 4, 'trace_an': 8}
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id: 256765004
{'hecke_orbit_code': 103582791496632477, 'n': 5, 'trace_an': 10}
-
id: 256765005
{'hecke_orbit_code': 103582791496632477, 'n': 6, 'trace_an': 0}
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id: 256765006
{'hecke_orbit_code': 103582791496632477, 'n': 7, 'trace_an': 0}
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id: 256765007
{'hecke_orbit_code': 103582791496632477, 'n': 8, 'trace_an': -36}
-
id: 256765008
{'hecke_orbit_code': 103582791496632477, 'n': 9, 'trace_an': 0}
-
id: 256765009
{'hecke_orbit_code': 103582791496632477, 'n': 10, 'trace_an': -10}
-
id: 256765010
{'hecke_orbit_code': 103582791496632477, 'n': 11, 'trace_an': -66}
-
id: 256765011
{'hecke_orbit_code': 103582791496632477, 'n': 12, 'trace_an': 0}
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id: 256765012
{'hecke_orbit_code': 103582791496632477, 'n': 13, 'trace_an': -10}
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id: 256765013
{'hecke_orbit_code': 103582791496632477, 'n': 14, 'trace_an': 0}
-
id: 256765014
{'hecke_orbit_code': 103582791496632477, 'n': 15, 'trace_an': 0}
-
id: 256765015
{'hecke_orbit_code': 103582791496632477, 'n': 16, 'trace_an': -72}
-
id: 256765016
{'hecke_orbit_code': 103582791496632477, 'n': 17, 'trace_an': 70}
-
id: 256765017
{'hecke_orbit_code': 103582791496632477, 'n': 18, 'trace_an': 0}
-
id: 256765018
{'hecke_orbit_code': 103582791496632477, 'n': 19, 'trace_an': -140}
-
id: 256765019
{'hecke_orbit_code': 103582791496632477, 'n': 20, 'trace_an': 40}
-
id: 256765020
{'hecke_orbit_code': 103582791496632477, 'n': 21, 'trace_an': 0}
-
id: 256765021
{'hecke_orbit_code': 103582791496632477, 'n': 22, 'trace_an': -22}
-
id: 256765022
{'hecke_orbit_code': 103582791496632477, 'n': 23, 'trace_an': 16}
-
id: 256765023
{'hecke_orbit_code': 103582791496632477, 'n': 24, 'trace_an': 0}
-
id: 256765024
{'hecke_orbit_code': 103582791496632477, 'n': 25, 'trace_an': 50}
-
id: 256765025
{'hecke_orbit_code': 103582791496632477, 'n': 26, 'trace_an': 450}
-
id: 256765026
{'hecke_orbit_code': 103582791496632477, 'n': 27, 'trace_an': 0}
-
id: 256765027
{'hecke_orbit_code': 103582791496632477, 'n': 28, 'trace_an': 0}
-
id: 256765028
{'hecke_orbit_code': 103582791496632477, 'n': 29, 'trace_an': 258}
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id: 256765998
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id: 256765999
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