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{'Nk2': 38808, 'analytic_conductor': 77.47086004104622, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -1], [11, 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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 621, 'field_disc_factorization': [[3, 3], [23, 1]], 'field_poly': [-3, -6, 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': [[5, [4, -9, 0, 1]], [13, [-32, -36, 0, 1]], [17, [-1, 1]], [19, [-36, -36, -3, 1]], [23, [-21, 3, 9, 1]], [29, [-92, 0, 9, 1]]], 'hecke_orbit': 99, 'hecke_orbit_code': 441352763515872742, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9702.2.a.du', 'level': 9702, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.i.f', 'nf_label': '3.3.621.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+\\beta _{2}q^{5}-q^{8}-\\beta _{2}q^{10}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9702.2.a', 'trace_display': [-3, 0, 0, 0], 'trace_hash': 883469604346214061, 'trace_moments': [{'__RealLiteral__': 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mf_hecke_cc • Show schema
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{'ALdims': [5, 9, 11, 8, 13, 13, 13, 13, 9, 5, 8, 11, 11, 15, 14, 11], 'Nk2': 38808, 'analytic_conductor': 77.47086004104622, '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': [9702, 1, [4313, 199, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1953, 'dim': 169, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33564134, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '9702.2.a', 'level': 9702, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': 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mf_twists_cc • Show schema
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id: 49162429
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 441352763515872742, 'source_is_minimal': False, 'source_label': '9702.2.a.du.1.3', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 441352763515872742, 'target_is_minimal': False, 'target_label': '9702.2.a.du.1.3', 'target_level': 9702, 'twist_class_label': '462.2.i.f.67.1', 'twist_class_level': 462, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49162430
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 441352763515872742, 'source_is_minimal': False, 'source_label': '9702.2.a.du.1.3', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109413538, 'target_is_minimal': False, 'target_label': '3234.2.a.bg.1.1', 'target_level': 3234, 'twist_class_label': '462.2.i.f.67.1', 'twist_class_level': 462, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49162431
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 441352763515872742, 'source_is_minimal': False, 'source_label': '9702.2.a.du.1.3', 'source_level': 9702, 'target_conrey_index': 793, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079879030474090, 'target_is_minimal': False, 'target_label': '1386.2.k.w.793.3', 'target_level': 1386, 'twist_class_label': '462.2.i.f.67.1', 'twist_class_level': 462, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49162432
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 441352763515872742, 'source_is_minimal': False, 'source_label': '9702.2.a.du.1.3', 'source_level': 9702, 'target_conrey_index': 991, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079879030474090, 'target_is_minimal': False, 'target_label': '1386.2.k.w.991.3', 'target_level': 1386, 'twist_class_label': '462.2.i.f.67.1', 'twist_class_level': 462, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49162433
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 441352763515872742, 'source_is_minimal': False, 'source_label': '9702.2.a.du.1.3', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 436849163888502246, 'target_is_minimal': False, 'target_label': '9702.2.a.dt.1.1', 'target_level': 9702, 'twist_class_label': '462.2.i.f.67.1', 'twist_class_level': 462, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 49162434
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 441352763515872742, 'source_is_minimal': False, 'source_label': '9702.2.a.du.1.3', 'source_level': 9702, 'target_conrey_index': 67, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221262, 'target_is_minimal': True, 'target_label': '462.2.i.f.67.1', 'target_level': 462, 'twist_class_label': '462.2.i.f.67.1', 'twist_class_level': 462, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49162435
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 441352763515872742, 'source_is_minimal': False, 'source_label': '9702.2.a.du.1.3', 'source_level': 9702, 'target_conrey_index': 331, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518547926221262, 'target_is_minimal': True, 'target_label': '462.2.i.f.331.1', 'target_level': 462, 'twist_class_label': '462.2.i.f.67.1', 'twist_class_level': 462, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 49162436
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 441352763515872742, 'source_is_minimal': False, 'source_label': '9702.2.a.du.1.3', 'source_level': 9702, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 153122387364154530, 'target_is_minimal': False, 'target_label': '3234.2.a.bi.1.3', 'target_level': 3234, 'twist_class_label': '462.2.i.f.67.1', 'twist_class_level': 462, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 5101925
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 441352763515872742, 'p': 2}
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id: 5101926
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 441352763515872742, 'p': 3}
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id: 5101927
{'charpoly_factorization': [[[4, -9, 0, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 5}
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id: 5101928
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 441352763515872742, 'p': 7}
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id: 5101929
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 441352763515872742, 'p': 11}
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id: 5101930
{'charpoly_factorization': [[[-32, -36, 0, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 13}
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id: 5101931
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 441352763515872742, 'p': 17}
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id: 5101932
{'charpoly_factorization': [[[-36, -36, -3, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 19}
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id: 5101933
{'charpoly_factorization': [[[-21, 3, 9, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 23}
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id: 5101934
{'charpoly_factorization': [[[-92, 0, 9, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 29}
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id: 5101935
{'charpoly_factorization': [[[-512, -96, 6, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 31}
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id: 5101936
{'charpoly_factorization': [[[164, -12, -9, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 37}
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id: 5101937
{'charpoly_factorization': [[[82, 21, -12, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 41}
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id: 5101938
{'charpoly_factorization': [[[164, -12, -9, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 43}
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id: 5101939
{'charpoly_factorization': [[[-19, 51, 15, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 47}
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id: 5101940
{'charpoly_factorization': [[[-32, -36, 0, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 53}
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id: 5101941
{'charpoly_factorization': [[[768, -96, -9, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 59}
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id: 5101942
{'charpoly_factorization': [[[226, -129, -6, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 61}
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id: 5101943
{'charpoly_factorization': [[[84, -15, -6, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 67}
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id: 5101944
{'charpoly_factorization': [[[-64, -24, 3, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 71}
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id: 5101945
{'charpoly_factorization': [[[192, -96, 0, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 73}
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id: 5101946
{'charpoly_factorization': [[[368, -33, -12, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 79}
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id: 5101947
{'charpoly_factorization': [[[188, -111, 6, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 83}
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id: 5101948
{'charpoly_factorization': [[[1328, 396, 36, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 89}
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id: 5101949
{'charpoly_factorization': [[[7, -81, 9, 1], 1]], 'hecke_orbit_code': 441352763515872742, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 99, 'label': '9702.2.a.du', 'level': 9702, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72538225
{'hecke_orbit_code': 441352763515872742, 'n': 1, 'trace_an': 3}
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id: 72538226
{'hecke_orbit_code': 441352763515872742, 'n': 2, 'trace_an': -3}
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id: 72538227
{'hecke_orbit_code': 441352763515872742, 'n': 3, 'trace_an': 0}
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id: 72538228
{'hecke_orbit_code': 441352763515872742, 'n': 4, 'trace_an': 3}
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id: 72538229
{'hecke_orbit_code': 441352763515872742, 'n': 5, 'trace_an': 0}
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id: 72538230
{'hecke_orbit_code': 441352763515872742, 'n': 6, 'trace_an': 0}
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id: 72538231
{'hecke_orbit_code': 441352763515872742, 'n': 7, 'trace_an': 0}
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id: 72538232
{'hecke_orbit_code': 441352763515872742, 'n': 8, 'trace_an': -3}
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id: 72538233
{'hecke_orbit_code': 441352763515872742, 'n': 9, 'trace_an': 0}
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id: 72538234
{'hecke_orbit_code': 441352763515872742, 'n': 10, 'trace_an': 0}
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id: 72538235
{'hecke_orbit_code': 441352763515872742, 'n': 11, 'trace_an': -3}
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id: 72538236
{'hecke_orbit_code': 441352763515872742, 'n': 12, 'trace_an': 0}
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id: 72538237
{'hecke_orbit_code': 441352763515872742, 'n': 13, 'trace_an': 0}
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id: 72538238
{'hecke_orbit_code': 441352763515872742, 'n': 14, 'trace_an': 0}
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id: 72538239
{'hecke_orbit_code': 441352763515872742, 'n': 15, 'trace_an': 0}
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id: 72538240
{'hecke_orbit_code': 441352763515872742, 'n': 16, 'trace_an': 3}
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id: 72538241
{'hecke_orbit_code': 441352763515872742, 'n': 17, 'trace_an': 3}
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id: 72538242
{'hecke_orbit_code': 441352763515872742, 'n': 18, 'trace_an': 0}
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id: 72538243
{'hecke_orbit_code': 441352763515872742, 'n': 19, 'trace_an': 3}
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id: 72538244
{'hecke_orbit_code': 441352763515872742, 'n': 20, 'trace_an': 0}
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