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{'Nk2': 15876, 'analytic_conductor': 31.692624562246184, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, 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': [3969, 1, [2108, 3727], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 1600, 'field_disc_factorization': [[2, 6], [5, 2]], 'field_poly': [4, 0, -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': 1, 'hecke_cutters': [[2, [-1, -1, 1]], [5, [4, 0, -6, 0, 1]], [11, [-1, 1]], [13, [64, 0, -24, 0, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090450305, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3969.2.a.y', 'level': 3969, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '3969.2.a.r', 'nf_label': '4.4.1600.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{2})q^{2}-\\beta _{2}q^{4}-\\beta _{1}q^{5}+(-1+\\cdots)q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3969.2.a', 'trace_display': [2, 0, 0, 0], 'trace_hash': 1728068763137052640, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.890', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_cc • Show schema
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108086391090450305, 'label': '3969.2.a.y.1.2', 'level': 3969, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [7, -1]], 36, 9], [[[3, 1], [7, -1]], 42, 15], [[[3, -1], [7, 1]], 42, 5], [[[3, 1], [7, 1]], 34, 7]], 'ALdims': [34, 42, 42, 36], 'Nk2': 15876, 'analytic_conductor': 31.692624562246184, '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': [3969, 1, [2108, 3727], [1, 1]], 'conrey_index': 1, 'cusp_dim': 457, 'dim': 154, 'eis_dim': 95, 'eis_new_dim': 20, 'hecke_cutter_primes': [2, 5, 11, 13], 'hecke_orbit_code': 33558401, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 8, 8, 12, 12, 16], 'label': '3969.2.a', 'level': 3969, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 552, 'mf_new_dim': 174, 'num_forms': 36, 'plus_dim': 70, 'prim_orbit_index': 1, 'relative_dim': 154, 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mf_twists_cc • Show schema
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id: 48528366
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 108086391090450305, 'source_is_minimal': True, 'source_label': '3969.2.a.y.1.2', 'source_level': 3969, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090450305, 'target_is_minimal': True, 'target_label': '3969.2.a.y.1.2', 'target_level': 3969, 'twist_class_label': '3969.2.a.r.1.3', 'twist_class_level': 3969, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48528367
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 108086391090450305, 'source_is_minimal': True, 'source_label': '3969.2.a.y.1.2', 'source_level': 3969, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 76561193698856833, 'target_is_minimal': True, 'target_label': '3969.2.a.r.1.3', 'target_level': 3969, 'twist_class_label': '3969.2.a.r.1.3', 'twist_class_level': 3969, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48528368
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 108086391090450305, 'source_is_minimal': True, 'source_label': '3969.2.a.y.1.2', 'source_level': 3969, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090450305, 'target_is_minimal': True, 'target_label': '3969.2.a.y.1.1', 'target_level': 3969, 'twist_class_label': '3969.2.a.r.1.3', 'twist_class_level': 3969, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48528369
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 108086391090450305, 'source_is_minimal': True, 'source_label': '3969.2.a.y.1.2', 'source_level': 3969, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 76561193698856833, 'target_is_minimal': True, 'target_label': '3969.2.a.r.1.4', 'target_level': 3969, 'twist_class_label': '3969.2.a.r.1.3', 'twist_class_level': 3969, '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: 3452175
{'charpoly_factorization': [[[-1, -1, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 2}
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id: 3452176
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 108086391090450305, 'p': 3}
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id: 3452177
{'charpoly_factorization': [[[4, 0, -6, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 5}
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id: 3452178
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 108086391090450305, 'p': 7}
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id: 3452179
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 108086391090450305, 'p': 11}
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id: 3452180
{'charpoly_factorization': [[[64, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 13}
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id: 3452181
{'charpoly_factorization': [[[-10, 0, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 17}
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id: 3452182
{'charpoly_factorization': [[[484, 0, -46, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 19}
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id: 3452183
{'charpoly_factorization': [[[20, 10, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 23}
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id: 3452184
{'charpoly_factorization': [[[-4, 2, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 29}
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id: 3452185
{'charpoly_factorization': [[[4, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 31}
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id: 3452186
{'charpoly_factorization': [[[-29, 8, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 37}
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id: 3452187
{'charpoly_factorization': [[[3364, 0, -134, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 41}
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id: 3452188
{'charpoly_factorization': [[[-71, 6, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 43}
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id: 3452189
{'charpoly_factorization': [[[1444, 0, -166, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 47}
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id: 3452190
{'charpoly_factorization': [[[-29, -8, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 53}
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id: 3452191
{'charpoly_factorization': [[[13924, 0, -276, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 59}
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id: 3452192
{'charpoly_factorization': [[[13924, 0, -254, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 61}
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id: 3452193
{'charpoly_factorization': [[[-11, 6, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 67}
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id: 3452194
{'charpoly_factorization': [[[-19, -2, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 71}
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id: 3452195
{'charpoly_factorization': [[[7744, 0, -216, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 73}
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id: 3452196
{'charpoly_factorization': [[[95, 20, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 79}
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id: 3452197
{'charpoly_factorization': [[[3844, 0, -126, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 83}
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id: 3452198
{'charpoly_factorization': [[[-40, 0, 1], 2]], 'hecke_orbit_code': 108086391090450305, 'p': 89}
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id: 3452199
{'charpoly_factorization': [[[3364, 0, -126, 0, 1], 1]], 'hecke_orbit_code': 108086391090450305, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '3969.2.a.y', 'level': 3969, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 257221000
{'hecke_orbit_code': 108086391090450305, 'n': 1, 'trace_an': 4}
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id: 257221001
{'hecke_orbit_code': 108086391090450305, 'n': 2, 'trace_an': 2}
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id: 257221002
{'hecke_orbit_code': 108086391090450305, 'n': 3, 'trace_an': 0}
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id: 257221003
{'hecke_orbit_code': 108086391090450305, 'n': 4, 'trace_an': -2}
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id: 257221004
{'hecke_orbit_code': 108086391090450305, 'n': 5, 'trace_an': 0}
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id: 257221005
{'hecke_orbit_code': 108086391090450305, 'n': 6, 'trace_an': 0}
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id: 257221006
{'hecke_orbit_code': 108086391090450305, 'n': 7, 'trace_an': 0}
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id: 257221007
{'hecke_orbit_code': 108086391090450305, 'n': 8, 'trace_an': 0}
-
id: 257221008
{'hecke_orbit_code': 108086391090450305, 'n': 9, 'trace_an': 0}
-
id: 257221009
{'hecke_orbit_code': 108086391090450305, 'n': 10, 'trace_an': 0}
-
id: 257221010
{'hecke_orbit_code': 108086391090450305, 'n': 11, 'trace_an': 4}
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id: 257221011
{'hecke_orbit_code': 108086391090450305, 'n': 12, 'trace_an': 0}
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id: 257221012
{'hecke_orbit_code': 108086391090450305, 'n': 13, 'trace_an': 0}
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id: 257221013
{'hecke_orbit_code': 108086391090450305, 'n': 14, 'trace_an': 0}
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id: 257221014
{'hecke_orbit_code': 108086391090450305, 'n': 15, 'trace_an': 0}
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id: 257221015
{'hecke_orbit_code': 108086391090450305, 'n': 16, 'trace_an': -6}
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id: 257221016
{'hecke_orbit_code': 108086391090450305, 'n': 17, 'trace_an': 0}
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id: 257221017
{'hecke_orbit_code': 108086391090450305, 'n': 18, 'trace_an': 0}
-
id: 257221018
{'hecke_orbit_code': 108086391090450305, 'n': 19, 'trace_an': 0}
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id: 257221019
{'hecke_orbit_code': 108086391090450305, 'n': 20, 'trace_an': 0}
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id: 257221020
{'hecke_orbit_code': 108086391090450305, 'n': 21, 'trace_an': 0}
-
id: 257221021
{'hecke_orbit_code': 108086391090450305, 'n': 22, 'trace_an': 2}
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id: 257221022
{'hecke_orbit_code': 108086391090450305, 'n': 23, 'trace_an': -20}
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id: 257221023
{'hecke_orbit_code': 108086391090450305, 'n': 24, 'trace_an': 0}
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id: 257221024
{'hecke_orbit_code': 108086391090450305, 'n': 25, 'trace_an': -8}
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id: 257221025
{'hecke_orbit_code': 108086391090450305, 'n': 26, 'trace_an': 0}
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id: 257221026
{'hecke_orbit_code': 108086391090450305, 'n': 27, 'trace_an': 0}
-
id: 257221027
{'hecke_orbit_code': 108086391090450305, 'n': 28, 'trace_an': 0}
-
id: 257221028
{'hecke_orbit_code': 108086391090450305, 'n': 29, 'trace_an': -4}
-
id: 257221029
{'hecke_orbit_code': 108086391090450305, 'n': 30, 'trace_an': 0}
-
id: 257221030
{'hecke_orbit_code': 108086391090450305, 'n': 31, 'trace_an': 0}
-
id: 257221031
{'hecke_orbit_code': 108086391090450305, 'n': 32, 'trace_an': -18}
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id: 257221032
{'hecke_orbit_code': 108086391090450305, 'n': 33, 'trace_an': 0}
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id: 257221033
{'hecke_orbit_code': 108086391090450305, 'n': 34, 'trace_an': 0}
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id: 257221034
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