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{'Nk2': 25536, 'analytic_conductor': 50.9764966503854, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [19, 1]], 'atkin_lehner_string': '+-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6384, 1, [799, 4789, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 135076, 'field_disc_factorization': [[2, 2], [33769, 1]], 'field_poly': [-2, 4, 4, -5, -1, 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, [-64, 64, 32, -20, -2, 1]], [11, [128, 160, -40, -28, 2, 1]], [13, [-64, -352, 208, -12, -8, 1]], [17, [5504, 1984, -192, -92, 2, 1]], [23, [-128, 160, 24, -36, 2, 1]]], 'hecke_orbit': 57, 'hecke_orbit_code': 252201579166308592, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], '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': '6384.2.a.ce', 'level': 6384, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '3192.2.a.ba', 'nf_label': '5.5.135076.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+\\beta _{1}q^{5}-q^{7}+q^{9}+\\beta _{4}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6384.2.a', 'trace_display': [0, 5, 2, -5], 'trace_hash': 1470887915999619371, 'trace_moments': 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'6384.2.a.ce.1.1', 'level': 6384, 'weight': 2}
-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [19, -1]], 3, 3], [[[2, 1], [3, 1], [7, -1], [19, -1]], 7, 4], [[[2, 1], [3, -1], [7, -1], [19, 1]], 6, 6], [[[2, 1], [3, 1], [7, -1], [19, 1]], 7, 3], [[[2, -1], [3, 1], [7, -1], [19, 1]], 4, 4], [[[2, 1], [3, -1], [7, 1], [19, 1]], 7, 3], [[[2, -1], [3, 1], [7, -1], [19, -1]], 8, 5], [[[2, 1], [3, 1], [7, 1], [19, 1]], 8, 3], [[[2, 1], [3, -1], [7, -1], [19, -1]], 8, 3], [[[2, -1], [3, -1], [7, 1], [19, -1]], 9, 3], [[[2, 1], [3, -1], [7, 1], [19, -1]], 7, 3], [[[2, -1], [3, -1], [7, 1], [19, 1]], 5, 3], [[[2, -1], [3, 1], [7, 1], [19, -1]], 6, 3], [[[2, 1], [3, 1], [7, 1], [19, -1]], 6, 3], [[[2, -1], [3, 1], [7, 1], [19, 1]], 8, 4], [[[2, -1], [3, -1], [7, -1], [19, 1]], 9, 5]], 'ALdims': [8, 6, 7, 7, 7, 7, 6, 8, 8, 6, 4, 8, 5, 9, 9, 3], 'Nk2': 25536, 'analytic_conductor': 50.9764966503854, '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': [6384, 1, [799, 4789, 2129, 913, 1009], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1257, 'dim': 108, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17, 23], 'hecke_orbit_code': 33560816, '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, 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], 'label': '6384.2.a', 'level': 6384, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 19], 'level_radical': 798, 'mf_dim': 1304, 'mf_new_dim': 108, 'num_forms': 58, 'plus_dim': 46, 'prim_orbit_index': 1, 'relative_dim': 108, 'sturm_bound': 2560, 'trace_bound': 25, 'trace_display': [0, 0, -8, -4], 'traces': [108, 0, 0, 0, -8, 0, -4, 0, 108, 0, -8, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 116, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, -16, 0, 8, 0, -16, 0, -8, 0, 48, 0, 108, 0, 0, 0, 8, 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mf_twists_cc • Show schema
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id: 49080244
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 252201579166308592, 'source_is_minimal': False, 'source_label': '6384.2.a.ce.1.1', 'source_level': 6384, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 252201579166308592, 'target_is_minimal': False, 'target_label': '6384.2.a.ce.1.1', 'target_level': 6384, 'twist_class_label': '3192.2.a.ba.1.1', 'twist_class_level': 3192, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49080245
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 252201579166308592, 'source_is_minimal': False, 'source_label': '6384.2.a.ce.1.1', 'source_level': 6384, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345190520, 'target_is_minimal': True, 'target_label': '3192.2.a.ba.1.1', 'target_level': 3192, 'twist_class_label': '3192.2.a.ba.1.1', 'twist_class_level': 3192, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49080246
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 252201579166308592, 'source_is_minimal': False, 'source_label': '6384.2.a.ce.1.1', 'source_level': 6384, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 297237575440016744, 'target_is_minimal': False, 'target_label': '9576.2.a.co.1.5', 'target_level': 9576, 'twist_class_label': '3192.2.a.ba.1.1', 'twist_class_level': 3192, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4173200
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 252201579166308592, 'p': 2}
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id: 4173201
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 252201579166308592, 'p': 3}
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id: 4173202
{'charpoly_factorization': [[[-64, 64, 32, -20, -2, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 5}
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id: 4173203
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 252201579166308592, 'p': 7}
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id: 4173204
{'charpoly_factorization': [[[128, 160, -40, -28, 2, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 11}
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id: 4173205
{'charpoly_factorization': [[[-64, -352, 208, -12, -8, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 13}
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id: 4173206
{'charpoly_factorization': [[[5504, 1984, -192, -92, 2, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 17}
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id: 4173207
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 252201579166308592, 'p': 19}
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id: 4173208
{'charpoly_factorization': [[[-128, 160, 24, -36, 2, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 23}
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id: 4173209
{'charpoly_factorization': [[[-1376, 128, 264, -52, -4, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 29}
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id: 4173210
{'charpoly_factorization': [[[256, 1408, 208, -80, -4, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 31}
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id: 4173211
{'charpoly_factorization': [[[-352, -304, 224, -8, -10, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 37}
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id: 4173212
{'charpoly_factorization': [[[352, 1040, -240, -72, 6, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 41}
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id: 4173213
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 252201579166308592, 'p': 43}
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id: 4173214
{'charpoly_factorization': [[[17728, 6624, -80, -180, -2, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 47}
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id: 4173215
{'charpoly_factorization': [[[-32, 0, 104, 44, -16, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 53}
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id: 4173216
{'charpoly_factorization': [[[-105472, 11008, 2944, -256, -12, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 59}
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id: 4173217
{'charpoly_factorization': [[[-6, 1], 5]], 'hecke_orbit_code': 252201579166308592, 'p': 61}
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id: 4173218
{'charpoly_factorization': [[[-10624, -10784, -2984, -108, 18, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 67}
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id: 4173219
{'charpoly_factorization': [[[-44288, 2880, 1840, -172, -10, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 71}
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id: 4173220
{'charpoly_factorization': [[[8992, 5776, 752, -104, -14, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 73}
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id: 4173221
{'charpoly_factorization': [[[512, -128, -504, -156, -2, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 79}
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id: 4173222
{'charpoly_factorization': [[[-4096, 1536, 448, -92, -6, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 83}
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id: 4173223
{'charpoly_factorization': [[[-6304, 2448, 464, -168, -10, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 89}
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id: 4173224
{'charpoly_factorization': [[[-128, -704, -656, -172, -8, 1], 1]], 'hecke_orbit_code': 252201579166308592, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 57, 'label': '6384.2.a.ce', 'level': 6384, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 278815000
{'hecke_orbit_code': 252201579166308592, 'n': 1, 'trace_an': 5}
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id: 278815001
{'hecke_orbit_code': 252201579166308592, 'n': 2, 'trace_an': 0}
-
id: 278815002
{'hecke_orbit_code': 252201579166308592, 'n': 3, 'trace_an': 5}
-
id: 278815003
{'hecke_orbit_code': 252201579166308592, 'n': 4, 'trace_an': 0}
-
id: 278815004
{'hecke_orbit_code': 252201579166308592, 'n': 5, 'trace_an': 2}
-
id: 278815005
{'hecke_orbit_code': 252201579166308592, 'n': 6, 'trace_an': 0}
-
id: 278815006
{'hecke_orbit_code': 252201579166308592, 'n': 7, 'trace_an': -5}
-
id: 278815007
{'hecke_orbit_code': 252201579166308592, 'n': 8, 'trace_an': 0}
-
id: 278815008
{'hecke_orbit_code': 252201579166308592, 'n': 9, 'trace_an': 5}
-
id: 278815009
{'hecke_orbit_code': 252201579166308592, 'n': 10, 'trace_an': 0}
-
id: 278815010
{'hecke_orbit_code': 252201579166308592, 'n': 11, 'trace_an': -2}
-
id: 278815011
{'hecke_orbit_code': 252201579166308592, 'n': 12, 'trace_an': 0}
-
id: 278815012
{'hecke_orbit_code': 252201579166308592, 'n': 13, 'trace_an': 8}
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id: 278815013
{'hecke_orbit_code': 252201579166308592, 'n': 14, 'trace_an': 0}
-
id: 278815014
{'hecke_orbit_code': 252201579166308592, 'n': 15, 'trace_an': 2}
-
id: 278815015
{'hecke_orbit_code': 252201579166308592, 'n': 16, 'trace_an': 0}
-
id: 278815016
{'hecke_orbit_code': 252201579166308592, 'n': 17, 'trace_an': -2}
-
id: 278815017
{'hecke_orbit_code': 252201579166308592, 'n': 18, 'trace_an': 0}
-
id: 278815018
{'hecke_orbit_code': 252201579166308592, 'n': 19, 'trace_an': -5}
-
id: 278815019
{'hecke_orbit_code': 252201579166308592, 'n': 20, 'trace_an': 0}
-
id: 278815020
{'hecke_orbit_code': 252201579166308592, 'n': 21, 'trace_an': -5}
-
id: 278815021
{'hecke_orbit_code': 252201579166308592, 'n': 22, 'trace_an': 0}
-
id: 278815022
{'hecke_orbit_code': 252201579166308592, 'n': 23, 'trace_an': -2}
-
id: 278815023
{'hecke_orbit_code': 252201579166308592, 'n': 24, 'trace_an': 0}
-
id: 278815024
{'hecke_orbit_code': 252201579166308592, 'n': 25, 'trace_an': 19}
-
id: 278815025
{'hecke_orbit_code': 252201579166308592, 'n': 26, 'trace_an': 0}
-
id: 278815026
{'hecke_orbit_code': 252201579166308592, 'n': 27, 'trace_an': 5}
-
id: 278815027
{'hecke_orbit_code': 252201579166308592, 'n': 28, 'trace_an': 0}
-
id: 278815028
{'hecke_orbit_code': 252201579166308592, 'n': 29, 'trace_an': 4}
-
id: 278815029
{'hecke_orbit_code': 252201579166308592, 'n': 30, 'trace_an': 0}
-
id: 278815030
{'hecke_orbit_code': 252201579166308592, 'n': 31, 'trace_an': 4}
-
id: 278815031
{'hecke_orbit_code': 252201579166308592, 'n': 32, 'trace_an': 0}
-
id: 278815032
{'hecke_orbit_code': 252201579166308592, 'n': 33, 'trace_an': -2}
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