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{'Nk2': 18400, 'analytic_conductor': 36.731184929788974, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [23, -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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 13955077, 'field_disc_factorization': [[1249, 1], [11173, 1]], 'field_poly': [16, 32, -1, -14, 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': [[3, [-16, 32, 1, -14, 0, 1]], [7, [-256, 128, 57, -28, -2, 1]], [11, [64, 172, -28, -35, 1, 1]]], 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854673912, 'hecke_ring_generator_nbound': 7, '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': '4600.2.a.be', 'level': 4600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '920.2.a.j', 'nf_label': '5.5.13955077.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}+(\\beta _{3}+\\beta _{4})q^{7}+(2+\\beta _{2}+\\beta _{4})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4600.2.a', 'trace_display': [0, 0, 0, 2], 'trace_hash': 606018931145623129, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.089', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.811', 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0.0, 'embedding_root_real': 3.30649014556138, 'hecke_orbit': 31, 'hecke_orbit_code': 135107988854673912, 'label': '4600.2.a.be.1.1', 'level': 4600, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 15, 5], [[[2, 1], [5, 1], [23, -1]], 14, 5], [[[2, 1], [5, 1], [23, 1]], 13, 7], [[[2, -1], [5, -1], [23, 1]], 13, 3], [[[2, -1], [5, 1], [23, -1]], 11, 5], [[[2, 1], [5, -1], [23, -1]], 12, 2], [[[2, 1], [5, -1], [23, 1]], 14, 4], [[[2, -1], [5, 1], [23, 1]], 12, 6]], 'ALdims': [13, 14, 14, 12, 12, 11, 13, 15], 'Nk2': 18400, 'analytic_conductor': 36.731184929788974, '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': [4600, 1, [1151, 2301, 2577, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 697, 'dim': 104, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33559032, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 5, 5, 5, 7, 7, 8, 8], 'label': '4600.2.a', 'level': 4600, 'level_is_prime': False, 'level_is_prime_power': False, 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mf_twists_cc • Show schema
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id: 48728018
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673912, 'source_is_minimal': False, 'source_label': '4600.2.a.be.1.1', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 135107988854673912, 'target_is_minimal': False, 'target_label': '4600.2.a.be.1.1', 'target_level': 4600, 'twist_class_label': '920.2.a.j.1.5', 'twist_class_level': 920, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48728019
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673912, 'source_is_minimal': False, 'source_label': '4600.2.a.be.1.1', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 324259173204239344, 'target_is_minimal': False, 'target_label': '9200.2.a.cu.1.5', 'target_level': 9200, 'twist_class_label': '920.2.a.j.1.5', 'twist_class_level': 920, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48728020
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673912, 'source_is_minimal': False, 'source_label': '4600.2.a.be.1.1', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 10, 'target_embedding_index': 9, 'target_hecke_orbit_code': 90072267458875896, 'target_is_minimal': False, 'target_label': '4600.2.e.u.4049.9', 'target_level': 4600, 'twist_class_label': '920.2.a.j.1.5', 'twist_class_level': 920, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48728021
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673912, 'source_is_minimal': False, 'source_label': '4600.2.a.be.1.1', 'source_level': 4600, 'target_conrey_index': 4049, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90072267458875896, 'target_is_minimal': False, 'target_label': '4600.2.e.u.4049.2', 'target_level': 4600, 'twist_class_label': '920.2.a.j.1.5', 'twist_class_level': 920, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48728022
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673912, 'source_is_minimal': False, 'source_label': '4600.2.a.be.1.1', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 40532396679889816, 'target_is_minimal': True, 'target_label': '920.2.a.j.1.5', 'target_level': 920, 'twist_class_label': '920.2.a.j.1.5', 'twist_class_level': 920, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48728023
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673912, 'source_is_minimal': False, 'source_label': '4600.2.a.be.1.1', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637864536, 'target_is_minimal': False, 'target_label': '8280.2.a.bs.1.2', 'target_level': 8280, 'twist_class_label': '920.2.a.j.1.5', 'twist_class_level': 920, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48728024
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673912, 'source_is_minimal': False, 'source_label': '4600.2.a.be.1.1', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208336688, 'target_is_minimal': False, 'target_label': '1840.2.a.v.1.1', 'target_level': 1840, 'twist_class_label': '920.2.a.j.1.5', 'twist_class_level': 920, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48728025
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673912, 'source_is_minimal': False, 'source_label': '4600.2.a.be.1.1', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 301741175067385024, 'target_is_minimal': False, 'target_label': '7360.2.a.cp.1.5', 'target_level': 7360, 'twist_class_label': '920.2.a.j.1.5', 'twist_class_level': 920, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48728026
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 135107988854673912, 'source_is_minimal': False, 'source_label': '4600.2.a.be.1.1', 'source_level': 4600, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 297237575440014528, 'target_is_minimal': False, 'target_label': '7360.2.a.co.1.1', 'target_level': 7360, 'twist_class_label': '920.2.a.j.1.5', 'twist_class_level': 920, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3647000
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 135107988854673912, 'p': 2}
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id: 3647001
{'charpoly_factorization': [[[-16, 32, 1, -14, 0, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 3}
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id: 3647002
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 135107988854673912, 'p': 5}
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id: 3647003
{'charpoly_factorization': [[[-256, 128, 57, -28, -2, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 7}
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id: 3647004
{'charpoly_factorization': [[[64, 172, -28, -35, 1, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 11}
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id: 3647005
{'charpoly_factorization': [[[-500, 600, -75, -46, 4, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 13}
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id: 3647006
{'charpoly_factorization': [[[-32, -138, -157, -46, 4, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 17}
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id: 3647007
{'charpoly_factorization': [[[512, 676, 180, -41, -7, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 19}
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id: 3647008
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 135107988854673912, 'p': 23}
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id: 3647009
{'charpoly_factorization': [[[8, 64, -36, -41, -4, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 29}
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id: 3647010
{'charpoly_factorization': [[[-128, -53, 183, 72, -19, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 31}
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id: 3647011
{'charpoly_factorization': [[[-64, -176, 36, 64, 15, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 37}
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id: 3647012
{'charpoly_factorization': [[[2182, 27, -653, 212, -25, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 41}
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id: 3647013
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 135107988854673912, 'p': 43}
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id: 3647014
{'charpoly_factorization': [[[-512, -800, 1116, -110, -11, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 47}
-
id: 3647015
{'charpoly_factorization': [[[20272, 5808, -440, -160, 3, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 53}
-
id: 3647016
{'charpoly_factorization': [[[13568, 4560, -236, -142, 1, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 59}
-
id: 3647017
{'charpoly_factorization': [[[7664, 2092, -568, -115, 5, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 61}
-
id: 3647018
{'charpoly_factorization': [[[-8192, 4832, -432, -126, 9, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 67}
-
id: 3647019
{'charpoly_factorization': [[[-3968, 8139, 407, -214, -1, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 71}
-
id: 3647020
{'charpoly_factorization': [[[1328, 2072, 272, -158, -1, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 73}
-
id: 3647021
{'charpoly_factorization': [[[-1024, 2432, 128, -128, 2, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 79}
-
id: 3647022
{'charpoly_factorization': [[[-41216, 26608, -6588, 784, -45, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 83}
-
id: 3647023
{'charpoly_factorization': [[[-8192, 2560, 512, -136, -6, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 89}
-
id: 3647024
{'charpoly_factorization': [[[49616, -16908, -4164, -39, 25, 1], 1]], 'hecke_orbit_code': 135107988854673912, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 31, 'label': '4600.2.a.be', 'level': 4600, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 265583000
{'hecke_orbit_code': 135107988854673912, 'n': 1, 'trace_an': 5}
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id: 265583001
{'hecke_orbit_code': 135107988854673912, 'n': 2, 'trace_an': 0}
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id: 265583002
{'hecke_orbit_code': 135107988854673912, 'n': 3, 'trace_an': 0}
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id: 265583003
{'hecke_orbit_code': 135107988854673912, 'n': 4, 'trace_an': 0}
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id: 265583004
{'hecke_orbit_code': 135107988854673912, 'n': 5, 'trace_an': 0}
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id: 265583005
{'hecke_orbit_code': 135107988854673912, 'n': 6, 'trace_an': 0}
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id: 265583006
{'hecke_orbit_code': 135107988854673912, 'n': 7, 'trace_an': 2}
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id: 265583007
{'hecke_orbit_code': 135107988854673912, 'n': 8, 'trace_an': 0}
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id: 265583008
{'hecke_orbit_code': 135107988854673912, 'n': 9, 'trace_an': 13}
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id: 265583009
{'hecke_orbit_code': 135107988854673912, 'n': 10, 'trace_an': 0}
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id: 265583010
{'hecke_orbit_code': 135107988854673912, 'n': 11, 'trace_an': -1}
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id: 265583011
{'hecke_orbit_code': 135107988854673912, 'n': 12, 'trace_an': 0}
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id: 265583012
{'hecke_orbit_code': 135107988854673912, 'n': 13, 'trace_an': -4}
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id: 265583013
{'hecke_orbit_code': 135107988854673912, 'n': 14, 'trace_an': 0}
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id: 265583014
{'hecke_orbit_code': 135107988854673912, 'n': 15, 'trace_an': 0}
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id: 265583015
{'hecke_orbit_code': 135107988854673912, 'n': 16, 'trace_an': 0}
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id: 265583016
{'hecke_orbit_code': 135107988854673912, 'n': 17, 'trace_an': -4}
-
id: 265583017
{'hecke_orbit_code': 135107988854673912, 'n': 18, 'trace_an': 0}
-
id: 265583018
{'hecke_orbit_code': 135107988854673912, 'n': 19, 'trace_an': 7}
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id: 265583019
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