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{'Nk2': 29440, 'analytic_conductor': 58.769895887662365, 'analytic_rank': 1, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7360, 1, [1151, 5061, 4417, 6721], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 876604, 'field_disc_factorization': [[2, 2], [37, 1], [5923, 1]], 'field_poly': [-16, 18, 8, -9, -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': [[3, [-4, 15, -7, -10, 1, 1]], [7, [-256, 130, 52, -29, -1, 1]], [11, [592, 626, -100, -49, 3, 1]], [13, [74, -249, -179, -16, 7, 1]], [17, [16, -48, 34, 5, -9, 1]]], 'hecke_orbit': 64, 'hecke_orbit_code': 283726776557903040, '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': '7360.2.a.cl', 'level': 7360, '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': '3680.2.a.x', 'nf_label': '5.5.876604.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{3}q^{3}-q^{5}+(\\beta _{2}+\\beta _{3}+\\beta _{4})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7360.2.a', 'trace_display': [0, -1, -5, 1], 'trace_hash': 556460980090142168, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 25, 10], [[[2, 1], [5, 1], [23, -1]], 22, 10], [[[2, 1], [5, 1], [23, 1]], 22, 9], [[[2, -1], [5, -1], [23, 1]], 19, 9], [[[2, -1], [5, 1], [23, -1]], 22, 7], [[[2, 1], [5, -1], [23, -1]], 19, 10], [[[2, 1], [5, -1], [23, 1]], 25, 11], [[[2, -1], [5, 1], [23, 1]], 22, 8]], 'ALdims': [22, 22, 25, 19, 22, 22, 19, 25], 'Nk2': 29440, 'analytic_conductor': 58.769895887662365, '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': [7360, 1, [1151, 5061, 4417, 6721], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1129, 'dim': 176, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13, 17], 'hecke_orbit_code': 33561792, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6], 'label': '7360.2.a', 'level': 7360, '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, 'mf_dim': 1176, 'mf_new_dim': 176, 'num_forms': 74, 'plus_dim': 82, 'prim_orbit_index': 1, 'relative_dim': 176, 'sturm_bound': 2304, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [176, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 176, 0, 0, 0, 48, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 49110908
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 283726776557903040, 'source_is_minimal': False, 'source_label': '7360.2.a.cl.1.3', 'source_level': 7360, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 283726776557903040, 'target_is_minimal': False, 'target_label': '7360.2.a.cl.1.3', 'target_level': 7360, 'twist_class_label': '3680.2.a.x.1.3', 'twist_class_level': 3680, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49110909
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 283726776557903040, 'source_is_minimal': False, 'source_label': '7360.2.a.cl.1.3', 'source_level': 7360, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 306244774694755520, 'target_is_minimal': False, 'target_label': '7360.2.a.cq.1.3', 'target_level': 7360, 'twist_class_label': '3680.2.a.x.1.3', 'twist_class_level': 3680, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49110910
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 283726776557903040, 'source_is_minimal': False, 'source_label': '7360.2.a.cl.1.3', 'source_level': 7360, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582791463079520, 'target_is_minimal': True, 'target_label': '3680.2.a.x.1.3', 'target_level': 3680, 'twist_class_label': '3680.2.a.x.1.3', 'twist_class_level': 3680, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49110911
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 283726776557903040, 'source_is_minimal': False, 'source_label': '7360.2.a.cl.1.3', 'source_level': 7360, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 117093590345191008, 'target_is_minimal': True, 'target_label': '3680.2.a.ba.1.3', 'target_level': 3680, 'twist_class_label': '3680.2.a.x.1.3', 'twist_class_level': 3680, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4453950
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 283726776557903040, 'p': 2}
-
id: 4453951
{'charpoly_factorization': [[[-4, 15, -7, -10, 1, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 3}
-
id: 4453952
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 283726776557903040, 'p': 5}
-
id: 4453953
{'charpoly_factorization': [[[-256, 130, 52, -29, -1, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 7}
-
id: 4453954
{'charpoly_factorization': [[[592, 626, -100, -49, 3, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 11}
-
id: 4453955
{'charpoly_factorization': [[[74, -249, -179, -16, 7, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 13}
-
id: 4453956
{'charpoly_factorization': [[[16, -48, 34, 5, -9, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 17}
-
id: 4453957
{'charpoly_factorization': [[[3152, 1334, -116, -75, 1, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 19}
-
id: 4453958
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 283726776557903040, 'p': 23}
-
id: 4453959
{'charpoly_factorization': [[[2264, -2072, 564, -23, -10, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 29}
-
id: 4453960
{'charpoly_factorization': [[[1132, -121, -361, 148, -21, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 31}
-
id: 4453961
{'charpoly_factorization': [[[-2368, 1824, -236, -70, 8, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 37}
-
id: 4453962
{'charpoly_factorization': [[[-94, 589, -477, -24, 13, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 41}
-
id: 4453963
{'charpoly_factorization': [[[-33664, 10368, 944, -202, -6, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 43}
-
id: 4453964
{'charpoly_factorization': [[[64, 484, 50, -55, 0, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 47}
-
id: 4453965
{'charpoly_factorization': [[[-32, 48, 416, -80, -6, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 53}
-
id: 4453966
{'charpoly_factorization': [[[-64, -48, 88, 88, 18, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 59}
-
id: 4453967
{'charpoly_factorization': [[[148, 294, 158, -1, -11, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 61}
-
id: 4453968
{'charpoly_factorization': [[[-41344, -6464, 1744, 478, 38, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 67}
-
id: 4453969
{'charpoly_factorization': [[[-76, -191, 189, 130, 21, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 71}
-
id: 4453970
{'charpoly_factorization': [[[712, -920, -384, 1, 12, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 73}
-
id: 4453971
{'charpoly_factorization': [[[-9728, 8224, -1432, -90, 18, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 79}
-
id: 4453972
{'charpoly_factorization': [[[-1024, -1536, -592, 12, 20, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 83}
-
id: 4453973
{'charpoly_factorization': [[[1088, -2896, -2372, -150, 16, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 89}
-
id: 4453974
{'charpoly_factorization': [[[-76, 458, -762, 257, -29, 1], 1]], 'hecke_orbit_code': 283726776557903040, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 64, 'label': '7360.2.a.cl', 'level': 7360, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 279828000
{'hecke_orbit_code': 283726776557903040, 'n': 1, 'trace_an': 5}
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id: 279828001
{'hecke_orbit_code': 283726776557903040, 'n': 2, 'trace_an': 0}
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id: 279828002
{'hecke_orbit_code': 283726776557903040, 'n': 3, 'trace_an': -1}
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id: 279828003
{'hecke_orbit_code': 283726776557903040, 'n': 4, 'trace_an': 0}
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id: 279828004
{'hecke_orbit_code': 283726776557903040, 'n': 5, 'trace_an': -5}
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id: 279828005
{'hecke_orbit_code': 283726776557903040, 'n': 6, 'trace_an': 0}
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id: 279828006
{'hecke_orbit_code': 283726776557903040, 'n': 7, 'trace_an': 1}
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id: 279828007
{'hecke_orbit_code': 283726776557903040, 'n': 8, 'trace_an': 0}
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id: 279828008
{'hecke_orbit_code': 283726776557903040, 'n': 9, 'trace_an': 6}
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id: 279828009
{'hecke_orbit_code': 283726776557903040, 'n': 10, 'trace_an': 0}
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id: 279828010
{'hecke_orbit_code': 283726776557903040, 'n': 11, 'trace_an': -3}
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id: 279828011
{'hecke_orbit_code': 283726776557903040, 'n': 12, 'trace_an': 0}
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id: 279828012
{'hecke_orbit_code': 283726776557903040, 'n': 13, 'trace_an': -7}
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id: 279828013
{'hecke_orbit_code': 283726776557903040, 'n': 14, 'trace_an': 0}
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id: 279828014
{'hecke_orbit_code': 283726776557903040, 'n': 15, 'trace_an': 1}
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id: 279828015
{'hecke_orbit_code': 283726776557903040, 'n': 16, 'trace_an': 0}
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id: 279828016
{'hecke_orbit_code': 283726776557903040, 'n': 17, 'trace_an': 9}
-
id: 279828017
{'hecke_orbit_code': 283726776557903040, 'n': 18, 'trace_an': 0}
-
id: 279828018
{'hecke_orbit_code': 283726776557903040, 'n': 19, 'trace_an': -1}
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id: 279828019
{'hecke_orbit_code': 283726776557903040, 'n': 20, 'trace_an': 0}
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id: 279828020
{'hecke_orbit_code': 283726776557903040, 'n': 21, 'trace_an': -20}
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id: 279828021
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