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mf_newforms • Show schema
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{'Nk2': 7056, 'analytic_conductor': 14.08561091655386, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [1764, 2, [883, 785, 1081], [1, 1, 2]], 'cm_discs': [], 'conrey_index': 1079, 'conrey_indexes': [1079], 'dim': 16, 'field_disc': 33418400425706520576, 'field_disc_factorization': [[2, 32], [3, 12], [11, 4]], 'field_poly': [1, 0, -8, 0, 49, 0, -104, 0, 160, 0, -104, 0, 49, 0, -8, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 8, 0, 1]], [13, [-2, 0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532671557797604, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 16384, 'hecke_ring_index_factorization': [[2, 14]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 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mf_hecke_cc • Show schema
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1079, 'dual_conrey_index': 1079, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': -0.2122012224903926, 'embedding_root_real': 0.36754329878158754, 'hecke_orbit': 10, 'hecke_orbit_code': 40532671557797604, 'label': '1764.2.e.j.1079.3', 'level': 1764, 'weight': 2}
-
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{'Nk2': 7056, 'analytic_conductor': 14.08561091655386, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 2, 'char_parity': 1, 'char_values': [1764, 2, [883, 785, 1081], [1, 1, 2]], 'conrey_index': 1079, 'cusp_dim': 304, 'dim': 82, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13], 'hecke_orbit_code': 274911463140, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 8, 12, 16, 16, 16], 'label': '1764.2.e', 'level': 1764, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 368, 'mf_new_dim': 82, 'num_forms': 10, 'prim_orbit_index': 2, 'relative_dim': 82, 'sturm_bound': 672, 'trace_bound': 25, 'trace_display': [0, 0, 0, 0], 'traces': [82, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 8, 0, 0, 16, 0, 0, 0, 0, 0, -16, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 46943614
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1079, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532671557797604, 'source_is_minimal': True, 'source_label': '1764.2.e.j.1079.3', 'source_level': 1764, 'target_conrey_index': 1079, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532671557797604, 'target_is_minimal': True, 'target_label': '1764.2.e.j.1079.3', 'target_level': 1764, 'twist_class_label': '1764.2.e.j.1079.1', 'twist_class_level': 1764, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46943615
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1079, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532671557797604, 'source_is_minimal': True, 'source_label': '1764.2.e.j.1079.3', 'source_level': 1764, 'target_conrey_index': 1079, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 40532671557797604, 'target_is_minimal': True, 'target_label': '1764.2.e.j.1079.14', 'target_level': 1764, 'twist_class_label': '1764.2.e.j.1079.1', 'twist_class_level': 1764, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46943616
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1079, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532671557797604, 'source_is_minimal': True, 'source_label': '1764.2.e.j.1079.3', 'source_level': 1764, 'target_conrey_index': 1079, 'target_dim': 16, 'target_embedding_index': 15, 'target_hecke_orbit_code': 40532671557797604, 'target_is_minimal': True, 'target_label': '1764.2.e.j.1079.15', 'target_level': 1764, 'twist_class_label': '1764.2.e.j.1079.1', 'twist_class_level': 1764, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46943617
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1079, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532671557797604, 'source_is_minimal': True, 'source_label': '1764.2.e.j.1079.3', 'source_level': 1764, 'target_conrey_index': 1079, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532671557797604, 'target_is_minimal': True, 'target_label': '1764.2.e.j.1079.4', 'target_level': 1764, 'twist_class_label': '1764.2.e.j.1079.1', 'twist_class_level': 1764, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46943618
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1079, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532671557797604, 'source_is_minimal': True, 'source_label': '1764.2.e.j.1079.3', 'source_level': 1764, 'target_conrey_index': 1079, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532671557797604, 'target_is_minimal': True, 'target_label': '1764.2.e.j.1079.2', 'target_level': 1764, 'twist_class_label': '1764.2.e.j.1079.1', 'twist_class_level': 1764, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46943619
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1079, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532671557797604, 'source_is_minimal': True, 'source_label': '1764.2.e.j.1079.3', 'source_level': 1764, 'target_conrey_index': 1079, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 40532671557797604, 'target_is_minimal': True, 'target_label': '1764.2.e.j.1079.13', 'target_level': 1764, 'twist_class_label': '1764.2.e.j.1079.1', 'twist_class_level': 1764, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 46943620
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1079, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532671557797604, 'source_is_minimal': True, 'source_label': '1764.2.e.j.1079.3', 'source_level': 1764, 'target_conrey_index': 1079, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 40532671557797604, 'target_is_minimal': True, 'target_label': '1764.2.e.j.1079.16', 'target_level': 1764, 'twist_class_label': '1764.2.e.j.1079.1', 'twist_class_level': 1764, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46943621
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1079, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 40532671557797604, 'source_is_minimal': True, 'source_label': '1764.2.e.j.1079.3', 'source_level': 1764, 'target_conrey_index': 1079, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557797604, 'target_is_minimal': True, 'target_label': '1764.2.e.j.1079.1', 'target_level': 1764, 'twist_class_label': '1764.2.e.j.1079.1', 'twist_class_level': 1764, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2188550
{'charpoly_factorization': [[[16, 0, -16, 0, 9, 0, -4, 0, 1], 2]], 'hecke_orbit_code': 40532671557797604, 'p': 2}
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id: 2188551
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 40532671557797604, 'p': 3}
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id: 2188552
{'charpoly_factorization': [[[4, 0, 8, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 5}
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id: 2188553
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 40532671557797604, 'p': 7}
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id: 2188554
{'charpoly_factorization': [[[132, 0, -36, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 11}
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id: 2188555
{'charpoly_factorization': [[[-2, 0, 1], 8]], 'hecke_orbit_code': 40532671557797604, 'p': 13}
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id: 2188556
{'charpoly_factorization': [[[676, 0, 56, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 17}
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id: 2188557
{'charpoly_factorization': [[[528, 0, 48, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 19}
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id: 2188558
{'charpoly_factorization': [[[132, 0, -36, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 23}
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id: 2188559
{'charpoly_factorization': [[[4, 0, 28, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 29}
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id: 2188560
{'charpoly_factorization': [[[4752, 0, 144, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 31}
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id: 2188561
{'charpoly_factorization': [[[-12, 0, 1], 8]], 'hecke_orbit_code': 40532671557797604, 'p': 37}
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id: 2188562
{'charpoly_factorization': [[[2116, 0, 104, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 41}
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id: 2188563
{'charpoly_factorization': [[[2112, 0, 96, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 43}
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id: 2188564
{'charpoly_factorization': [[[528, 0, -120, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 47}
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id: 2188565
{'charpoly_factorization': [[[36, 0, 84, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 53}
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id: 2188566
{'charpoly_factorization': [[[4752, 0, -216, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 59}
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id: 2188567
{'charpoly_factorization': [[[20164, 0, -316, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 61}
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id: 2188568
{'charpoly_factorization': [[[528, 0, 72, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 67}
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id: 2188569
{'charpoly_factorization': [[[15972, 0, -276, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 71}
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id: 2188570
{'charpoly_factorization': [[[484, 0, -172, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 73}
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id: 2188571
{'charpoly_factorization': [[[4752, 0, 216, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 79}
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id: 2188572
{'charpoly_factorization': [[[19008, 0, -288, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 83}
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id: 2188573
{'charpoly_factorization': [[[2116, 0, 104, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 89}
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id: 2188574
{'charpoly_factorization': [[[20164, 0, -316, 0, 1], 4]], 'hecke_orbit_code': 40532671557797604, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 10, 'label': '1764.2.e.j', 'level': 1764, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 208816000
{'hecke_orbit_code': 40532671557797604, 'n': 1, 'trace_an': 16}
-
id: 208816001
{'hecke_orbit_code': 40532671557797604, 'n': 2, 'trace_an': 0}
-
id: 208816002
{'hecke_orbit_code': 40532671557797604, 'n': 3, 'trace_an': 0}
-
id: 208816003
{'hecke_orbit_code': 40532671557797604, 'n': 4, 'trace_an': 16}
-
id: 208816004
{'hecke_orbit_code': 40532671557797604, 'n': 5, 'trace_an': 0}
-
id: 208816005
{'hecke_orbit_code': 40532671557797604, 'n': 6, 'trace_an': 0}
-
id: 208816006
{'hecke_orbit_code': 40532671557797604, 'n': 7, 'trace_an': 0}
-
id: 208816007
{'hecke_orbit_code': 40532671557797604, 'n': 8, 'trace_an': 0}
-
id: 208816008
{'hecke_orbit_code': 40532671557797604, 'n': 9, 'trace_an': 0}
-
id: 208816009
{'hecke_orbit_code': 40532671557797604, 'n': 10, 'trace_an': 0}
-
id: 208816010
{'hecke_orbit_code': 40532671557797604, 'n': 11, 'trace_an': 0}
-
id: 208816011
{'hecke_orbit_code': 40532671557797604, 'n': 12, 'trace_an': 0}
-
id: 208816012
{'hecke_orbit_code': 40532671557797604, 'n': 13, 'trace_an': 0}
-
id: 208816013
{'hecke_orbit_code': 40532671557797604, 'n': 14, 'trace_an': 0}
-
id: 208816014
{'hecke_orbit_code': 40532671557797604, 'n': 15, 'trace_an': 0}
-
id: 208816015
{'hecke_orbit_code': 40532671557797604, 'n': 16, 'trace_an': -8}
-
id: 208816016
{'hecke_orbit_code': 40532671557797604, 'n': 17, 'trace_an': 0}
-
id: 208816017
{'hecke_orbit_code': 40532671557797604, 'n': 18, 'trace_an': 0}
-
id: 208816018
{'hecke_orbit_code': 40532671557797604, 'n': 19, 'trace_an': 0}
-
id: 208816019
{'hecke_orbit_code': 40532671557797604, 'n': 20, 'trace_an': 0}
-
id: 208816020
{'hecke_orbit_code': 40532671557797604, 'n': 21, 'trace_an': 0}
-
id: 208816021
{'hecke_orbit_code': 40532671557797604, 'n': 22, 'trace_an': -24}
-
id: 208816022
{'hecke_orbit_code': 40532671557797604, 'n': 23, 'trace_an': 0}
-
id: 208816023
{'hecke_orbit_code': 40532671557797604, 'n': 24, 'trace_an': 0}
-
id: 208816024
{'hecke_orbit_code': 40532671557797604, 'n': 25, 'trace_an': 16}
-
id: 208816025
{'hecke_orbit_code': 40532671557797604, 'n': 26, 'trace_an': 0}
-
id: 208816026
{'hecke_orbit_code': 40532671557797604, 'n': 27, 'trace_an': 0}
-
id: 208816027
{'hecke_orbit_code': 40532671557797604, 'n': 28, 'trace_an': 0}
-
id: 208816028
{'hecke_orbit_code': 40532671557797604, 'n': 29, 'trace_an': 0}
-
id: 208816029
{'hecke_orbit_code': 40532671557797604, 'n': 30, 'trace_an': 0}
-
id: 208816030
{'hecke_orbit_code': 40532671557797604, 'n': 31, 'trace_an': 0}
-
id: 208816031
{'hecke_orbit_code': 40532671557797604, 'n': 32, 'trace_an': 0}
-
id: 208816032
{'hecke_orbit_code': 40532671557797604, 'n': 33, 'trace_an': 0}
-
id: 208816033
{'hecke_orbit_code': 40532671557797604, 'n': 34, 'trace_an': 0}
-
id: 208816034
{'hecke_orbit_code': 40532671557797604, 'n': 35, 'trace_an': 0}
-
id: 208816035
{'hecke_orbit_code': 40532671557797604, 'n': 36, 'trace_an': 0}
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id: 208816036
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