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{'Nk2': 21888, 'analytic_conductor': 43.694139986044625, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [19, 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': [5472, 1, [4447, 2053, 1217, 3745], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 15317, 'field_disc_factorization': [[17, 2], [53, 1]], 'field_poly': [2, 5, -4, -2, 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, [32, -24, -18, 1, 1]], [7, [4, -19, -17, -1, 1]], [11, [16, 28, 0, -7, 1]], [13, [-344, 158, 7, -10, 1]], [23, [64, -132, -17, 8, 1]]], 'hecke_orbit': 46, 'hecke_orbit_code': 202661983265232224, 'hecke_ring_generator_nbound': 7, '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': '5472.2.a.bt', 'level': 5472, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '608.2.a.i', 'nf_label': '4.4.15317.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{2})q^{5}-\\beta _{3}q^{7}+(2-\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5472.2.a', 'trace_display': [0, 0, -1, 1], 'trace_hash': 1911346781701915923, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.145', 'prec': 17}, {'__RealLiteral__': 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [19, -1]], 15, 7], [[[2, -1], [3, 1], [19, -1]], 9, 4], [[[2, -1], [3, 1], [19, 1]], 9, 4], [[[2, 1], [3, 1], [19, 1]], 9, 4], [[[2, 1], [3, -1], [19, -1]], 12, 9], [[[2, -1], [3, -1], [19, 1]], 12, 7], [[[2, 1], [3, 1], [19, -1]], 9, 4], [[[2, 1], [3, -1], [19, 1]], 15, 9]], 'ALdims': [9, 9, 15, 12, 9, 9, 12, 15], 'Nk2': 21888, 'analytic_conductor': 43.694139986044625, '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': [5472, 1, [4447, 2053, 1217, 3745], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 929, 'dim': 90, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13, 23], 'hecke_orbit_code': 33559904, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], 'label': '5472.2.a', 'level': 5472, 'level_is_prime': False, 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mf_twists_cc • Show schema
Hide schema
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id: 48998939
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 202661983265232224, 'source_is_minimal': False, 'source_label': '5472.2.a.bt.1.2', 'source_level': 5472, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 202661983265232224, 'target_is_minimal': False, 'target_label': '5472.2.a.bt.1.2', 'target_level': 5472, 'twist_class_label': '608.2.a.i.1.2', 'twist_class_level': 608, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48998940
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 202661983265232224, 'source_is_minimal': False, 'source_label': '5472.2.a.bt.1.2', 'source_level': 5472, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052519008, 'target_is_minimal': True, 'target_label': '608.2.a.i.1.2', 'target_level': 608, 'twist_class_label': '608.2.a.i.1.2', 'twist_class_level': 608, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48998941
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 202661983265232224, 'source_is_minimal': False, 'source_label': '5472.2.a.bt.1.2', 'source_level': 5472, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637861728, 'target_is_minimal': False, 'target_label': '5472.2.a.bs.1.2', 'target_level': 5472, 'twist_class_label': '608.2.a.i.1.2', 'twist_class_level': 608, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48998942
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 202661983265232224, 'source_is_minimal': False, 'source_label': '5472.2.a.bt.1.2', 'source_level': 5472, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532396679889504, 'target_is_minimal': True, 'target_label': '608.2.a.j.1.4', 'target_level': 608, 'twist_class_label': '608.2.a.i.1.2', 'twist_class_level': 608, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48998943
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 202661983265232224, 'source_is_minimal': False, 'source_label': '5472.2.a.bt.1.2', 'source_level': 5472, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582791463077056, 'target_is_minimal': False, 'target_label': '1216.2.a.x.1.3', 'target_level': 1216, 'twist_class_label': '608.2.a.i.1.2', 'twist_class_level': 608, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48998944
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 202661983265232224, 'source_is_minimal': False, 'source_label': '5472.2.a.bt.1.2', 'source_level': 5472, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835706560, 'target_is_minimal': False, 'target_label': '1216.2.a.w.1.1', 'target_level': 1216, 'twist_class_label': '608.2.a.i.1.2', 'twist_class_level': 608, '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: 3908175
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 202661983265232224, 'p': 2}
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id: 3908176
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 202661983265232224, 'p': 3}
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id: 3908177
{'charpoly_factorization': [[[32, -24, -18, 1, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 5}
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id: 3908178
{'charpoly_factorization': [[[4, -19, -17, -1, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 7}
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id: 3908179
{'charpoly_factorization': [[[16, 28, 0, -7, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 11}
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id: 3908180
{'charpoly_factorization': [[[-344, 158, 7, -10, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 13}
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id: 3908181
{'charpoly_factorization': [[[698, -141, -51, 5, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 17}
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id: 3908182
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 202661983265232224, 'p': 19}
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id: 3908183
{'charpoly_factorization': [[[64, -132, -17, 8, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 23}
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id: 3908184
{'charpoly_factorization': [[[-344, -158, 7, 10, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 29}
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id: 3908185
{'charpoly_factorization': [[[-512, 416, -56, -6, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 31}
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id: 3908186
{'charpoly_factorization': [[[-1504, 536, 4, -14, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 37}
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id: 3908187
{'charpoly_factorization': [[[512, 192, -72, -2, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 41}
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id: 3908188
{'charpoly_factorization': [[[-64, -96, -32, 3, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 43}
-
id: 3908189
{'charpoly_factorization': [[[-64, -176, -108, 3, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 47}
-
id: 3908190
{'charpoly_factorization': [[[-508, -384, -69, 4, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 53}
-
id: 3908191
{'charpoly_factorization': [[[-152, 150, 85, -20, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 59}
-
id: 3908192
{'charpoly_factorization': [[[344, -28, -66, 3, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 61}
-
id: 3908193
{'charpoly_factorization': [[[-824, -602, -75, 8, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 67}
-
id: 3908194
{'charpoly_factorization': [[[-2432, 424, 268, 30, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 71}
-
id: 3908195
{'charpoly_factorization': [[[2, 309, -47, -9, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 73}
-
id: 3908196
{'charpoly_factorization': [[[-3136, -1288, -100, 10, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 79}
-
id: 3908197
{'charpoly_factorization': [[[-1024, 784, -116, -4, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 83}
-
id: 3908198
{'charpoly_factorization': [[[-15296, 4048, -204, -16, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 89}
-
id: 3908199
{'charpoly_factorization': [[[608, -88, -60, 6, 1], 1]], 'hecke_orbit_code': 202661983265232224, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 46, 'label': '5472.2.a.bt', 'level': 5472, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 275815000
{'hecke_orbit_code': 202661983265232224, 'n': 1, 'trace_an': 4}
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id: 275815001
{'hecke_orbit_code': 202661983265232224, 'n': 2, 'trace_an': 0}
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id: 275815002
{'hecke_orbit_code': 202661983265232224, 'n': 3, 'trace_an': 0}
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id: 275815003
{'hecke_orbit_code': 202661983265232224, 'n': 4, 'trace_an': 0}
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id: 275815004
{'hecke_orbit_code': 202661983265232224, 'n': 5, 'trace_an': -1}
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id: 275815005
{'hecke_orbit_code': 202661983265232224, 'n': 6, 'trace_an': 0}
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id: 275815006
{'hecke_orbit_code': 202661983265232224, 'n': 7, 'trace_an': 1}
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id: 275815007
{'hecke_orbit_code': 202661983265232224, 'n': 8, 'trace_an': 0}
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id: 275815008
{'hecke_orbit_code': 202661983265232224, 'n': 9, 'trace_an': 0}
-
id: 275815009
{'hecke_orbit_code': 202661983265232224, 'n': 10, 'trace_an': 0}
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id: 275815010
{'hecke_orbit_code': 202661983265232224, 'n': 11, 'trace_an': 7}
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id: 275815011
{'hecke_orbit_code': 202661983265232224, 'n': 12, 'trace_an': 0}
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id: 275815012
{'hecke_orbit_code': 202661983265232224, 'n': 13, 'trace_an': 10}
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id: 275815013
{'hecke_orbit_code': 202661983265232224, 'n': 14, 'trace_an': 0}
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id: 275815014
{'hecke_orbit_code': 202661983265232224, 'n': 15, 'trace_an': 0}
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id: 275815015
{'hecke_orbit_code': 202661983265232224, 'n': 16, 'trace_an': 0}
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id: 275815016
{'hecke_orbit_code': 202661983265232224, 'n': 17, 'trace_an': -5}
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id: 275815017
{'hecke_orbit_code': 202661983265232224, 'n': 18, 'trace_an': 0}
-
id: 275815018
{'hecke_orbit_code': 202661983265232224, 'n': 19, 'trace_an': -4}
-
id: 275815019
{'hecke_orbit_code': 202661983265232224, 'n': 20, 'trace_an': 0}
-
id: 275815020
{'hecke_orbit_code': 202661983265232224, 'n': 21, 'trace_an': 0}
-
id: 275815021
{'hecke_orbit_code': 202661983265232224, 'n': 22, 'trace_an': 0}
-
id: 275815022
{'hecke_orbit_code': 202661983265232224, 'n': 23, 'trace_an': -8}
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id: 275815023
{'hecke_orbit_code': 202661983265232224, 'n': 24, 'trace_an': 0}
-
id: 275815024
{'hecke_orbit_code': 202661983265232224, 'n': 25, 'trace_an': 17}
-
id: 275815025
{'hecke_orbit_code': 202661983265232224, 'n': 26, 'trace_an': 0}
-
id: 275815026
{'hecke_orbit_code': 202661983265232224, 'n': 27, 'trace_an': 0}
-
id: 275815027
{'hecke_orbit_code': 202661983265232224, 'n': 28, 'trace_an': 0}
-
id: 275815028
{'hecke_orbit_code': 202661983265232224, 'n': 29, 'trace_an': -10}
-
id: 275815029
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