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{'Nk2': 14976, 'analytic_conductor': 29.895990516767377, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [13, 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': [3744, 1, [703, 2341, 2081, 2017], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-4, 2, 1]], [7, [-4, -2, 1]], [11, [2, 1]], [29, [-20, 0, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326227104, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3744.2.a.s', 'level': 3744, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '1248.2.a.l', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1-\\beta )q^{5}+(1+\\beta )q^{7}-2q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3744.2.a', 'trace_display': [0, 0, -2, 2], 'trace_hash': 1423514632594859926, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.950', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [13, -1]], 11, 6], [[[2, 1], [3, -1], [13, 1]], 10, 6], [[[2, 1], [3, -1], [13, -1]], 7, 5], [[[2, -1], [3, -1], [13, 1]], 8, 5], [[[2, -1], [3, 1], [13, -1]], 6, 3], [[[2, 1], [3, 1], [13, -1]], 6, 3], [[[2, -1], [3, 1], [13, 1]], 6, 2], [[[2, 1], [3, 1], [13, 1]], 6, 2]], 'ALdims': [6, 6, 10, 7, 6, 6, 8, 11], 'Nk2': 14976, 'analytic_conductor': 29.895990516767377, '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': [3744, 1, [703, 2341, 2081, 2017], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 641, 'dim': 60, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 29], 'hecke_orbit_code': 33558176, 'hecke_orbit_dims': [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, 3, 3, 4, 4, 4, 4, 4], 'label': '3744.2.a', 'level': 3744, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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mf_twists_cc • Show schema
Hide schema
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id: 48180495
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326227104, 'source_is_minimal': False, 'source_label': '3744.2.a.s.1.1', 'source_level': 3744, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326227104, 'target_is_minimal': False, 'target_label': '3744.2.a.s.1.1', 'target_level': 3744, 'twist_class_label': '1248.2.a.l.1.2', 'twist_class_level': 1248, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48180496
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326227104, 'source_is_minimal': False, 'source_label': '3744.2.a.s.1.1', 'source_level': 3744, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189372128, 'target_is_minimal': True, 'target_label': '1248.2.a.n.1.2', 'target_level': 1248, 'twist_class_label': '1248.2.a.l.1.2', 'twist_class_level': 1248, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48180497
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326227104, 'source_is_minimal': False, 'source_label': '3744.2.a.s.1.1', 'source_level': 3744, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698856608, 'target_is_minimal': False, 'target_label': '3744.2.a.r.1.1', 'target_level': 3744, 'twist_class_label': '1248.2.a.l.1.2', 'twist_class_level': 1248, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48180498
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326227104, 'source_is_minimal': False, 'source_label': '3744.2.a.s.1.1', 'source_level': 3744, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 315251973949496640, 'target_is_minimal': False, 'target_label': '7488.2.a.cs.1.2', 'target_level': 7488, 'twist_class_label': '1248.2.a.l.1.2', 'twist_class_level': 1248, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48180499
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326227104, 'source_is_minimal': False, 'source_label': '3744.2.a.s.1.1', 'source_level': 3744, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 319755573576867136, 'target_is_minimal': False, 'target_label': '7488.2.a.ct.1.2', 'target_level': 7488, 'twist_class_label': '1248.2.a.l.1.2', 'twist_class_level': 1248, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48180500
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326227104, 'source_is_minimal': False, 'source_label': '3744.2.a.s.1.1', 'source_level': 3744, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934631136, 'target_is_minimal': True, 'target_label': '1248.2.a.l.1.2', 'target_level': 1248, 'twist_class_label': '1248.2.a.l.1.2', 'twist_class_level': 1248, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48180501
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326227104, 'source_is_minimal': False, 'source_label': '3744.2.a.s.1.1', 'source_level': 3744, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854671808, 'target_is_minimal': False, 'target_label': '2496.2.a.be.1.1', 'target_level': 2496, 'twist_class_label': '1248.2.a.l.1.2', 'twist_class_level': 1248, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48180502
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81064793326227104, 'source_is_minimal': False, 'source_label': '3744.2.a.s.1.1', 'source_level': 3744, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787736783296, 'target_is_minimal': False, 'target_label': '2496.2.a.bh.1.1', 'target_level': 2496, 'twist_class_label': '1248.2.a.l.1.2', 'twist_class_level': 1248, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3337025
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326227104, 'p': 2}
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id: 3337026
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326227104, 'p': 3}
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id: 3337027
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 5}
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id: 3337028
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 7}
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id: 3337029
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 81064793326227104, 'p': 11}
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id: 3337030
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 81064793326227104, 'p': 13}
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id: 3337031
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 17}
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id: 3337032
{'charpoly_factorization': [[[4, -6, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 19}
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id: 3337033
{'charpoly_factorization': [[[-16, 4, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 23}
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id: 3337034
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 29}
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id: 3337035
{'charpoly_factorization': [[[-44, -2, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 31}
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id: 3337036
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 37}
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id: 3337037
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 41}
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id: 3337038
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 43}
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id: 3337039
{'charpoly_factorization': [[[-76, -4, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 47}
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id: 3337040
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 53}
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id: 3337041
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 59}
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id: 3337042
{'charpoly_factorization': [[[44, 16, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 61}
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id: 3337043
{'charpoly_factorization': [[[76, -18, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 67}
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id: 3337044
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 71}
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id: 3337045
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 73}
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id: 3337046
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 79}
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id: 3337047
{'charpoly_factorization': [[[124, 24, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 83}
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id: 3337048
{'charpoly_factorization': [[[-124, 2, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 89}
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id: 3337049
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 81064793326227104, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '3744.2.a.s', 'level': 3744, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 244179000
{'hecke_orbit_code': 81064793326227104, 'n': 1, 'trace_an': 2}
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id: 244179001
{'hecke_orbit_code': 81064793326227104, 'n': 2, 'trace_an': 0}
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id: 244179002
{'hecke_orbit_code': 81064793326227104, 'n': 3, 'trace_an': 0}
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id: 244179003
{'hecke_orbit_code': 81064793326227104, 'n': 4, 'trace_an': 0}
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id: 244179004
{'hecke_orbit_code': 81064793326227104, 'n': 5, 'trace_an': -2}
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id: 244179005
{'hecke_orbit_code': 81064793326227104, 'n': 6, 'trace_an': 0}
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id: 244179006
{'hecke_orbit_code': 81064793326227104, 'n': 7, 'trace_an': 2}
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id: 244179007
{'hecke_orbit_code': 81064793326227104, 'n': 8, 'trace_an': 0}
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id: 244179008
{'hecke_orbit_code': 81064793326227104, 'n': 9, 'trace_an': 0}
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id: 244179009
{'hecke_orbit_code': 81064793326227104, 'n': 10, 'trace_an': 0}
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id: 244179010
{'hecke_orbit_code': 81064793326227104, 'n': 11, 'trace_an': -4}
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id: 244179011
{'hecke_orbit_code': 81064793326227104, 'n': 12, 'trace_an': 0}
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id: 244179012
{'hecke_orbit_code': 81064793326227104, 'n': 13, 'trace_an': -2}
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id: 244179013
{'hecke_orbit_code': 81064793326227104, 'n': 14, 'trace_an': 0}
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id: 244179014
{'hecke_orbit_code': 81064793326227104, 'n': 15, 'trace_an': 0}
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id: 244179015
{'hecke_orbit_code': 81064793326227104, 'n': 16, 'trace_an': 0}
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id: 244179016
{'hecke_orbit_code': 81064793326227104, 'n': 17, 'trace_an': 0}
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id: 244179017
{'hecke_orbit_code': 81064793326227104, 'n': 18, 'trace_an': 0}
-
id: 244179018
{'hecke_orbit_code': 81064793326227104, 'n': 19, 'trace_an': 6}
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id: 244179019
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