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{'Nk2': 22080, 'analytic_conductor': 44.077421915746775, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -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': [5520, 1, [4831, 1381, 1841, 4417, 1201], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': 0, 'hecke_cutters': [[7, [0, 1]], [11, [4, 1]], [13, [-2, 1]], [17, [-2, 1]], [19, [0, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208340368, 'hecke_ring_generator_nbound': 1, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5520.2.a.v', 'level': 5520, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '2760.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+q^{9}-4q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/5520/v'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5520.2.a', 'trace_display': [0, 1, -1, 0], 'trace_hash': 718519758418240048, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.007', 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mf_newspaces • Show schema
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{'ALdims': [6, 4, 4, 6, 8, 4, 4, 8, 6, 5, 5, 6, 5, 6, 6, 5], 'Nk2': 22080, 'analytic_conductor': 44.077421915746775, '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': [5520, 1, [4831, 1381, 1841, 4417, 1201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1129, 'dim': 88, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19], 'hecke_orbit_code': 33559952, '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, 2, 2, 3, 3, 3, 3, 3, 3, 4, 5], 'label': '5520.2.a', 'level': 5520, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'mf_dim': 1176, 'mf_new_dim': 88, 'num_forms': 55, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 88, 'sturm_bound': 2304, 'trace_bound': 17, 'trace_display': [0, 4, 0, 8], 'traces': [88, 0, 4, 0, 0, 0, 8, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 88, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 104, 0, 0, 0, -32, 0, -16, 0, 16, 0, -32, 0, -32, 0, 8, 0, 0, 0, 8, 0, 0, 0, -32, 0, 16, 0, 4, 0, -32, 0, 8, 0, 88, 0, 0, 0, 0, 0, -24, 0, 0, 0, -64, 0, 0, 0, 0, 0, 16, 0, 0, 0, -32, 0, -40, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 12, 0, 0, 0, -8, 0, 88, 0, -24, 0, 0, 0, 16, 0, 16, 0, -56, 0, -32, 0, 0, 0, 0, 0, 56, 0, 0, 0, -80, 0, 0, 0, 36, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 104, 0, 8, 0, -32, 0, 8, 0, 0, 0, 72, 0, 0, 0, 56, 0, 0, 0, 48, 0, 0, 0, 16, 0, 48, 0, 0, 0, 0, 0, 24, 0, 48, 0, 96, 0, 0, 0, 0, 0, 32, 0, 56, 0, 0, 0, 24, 0, 96, 0, 8, 0, 32, 0, 96, 0, 88, 0, -144, 0, 64, 0, -48, 0, 0, 0, 0, 0, 0, 0, -112, 0, 16, 0, 4, 0, 64, 0, 64, 0, 0, 0, 64, 0, 0, 0, -24, 0, 0, 0, -120, 0, 0, 0, 48, 0, 0, 0, 48, 0, 64, 0, -120, 0, 64, 0, 0, 0, -32, 0, 8, 0, -64, 0, -40, 0, 0, 0, -16, 0, 88, 0, 8, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, -32, 0, 48, 0, 0, 0, 136, 0, -16, 0, 0, 0, -64, 0, -80, 0, -32, 0, -48, 0, 0, 0, 8, 0, -64, 0, 104, 0, 0, 0, 0, 0, -80, 0, -80, 0, -64, 0, 160, 0, 0, 0, 0, 0, 64, 0, 8, 0, -96, 0, -48, 0, 96, 0, 48, 0, 72, 0, 52, 0, -32, 0, -88, 0, 0, 0, 168, 0, 0, 0, 0, 0, -32, 0, 120, 0, -32, 0, 16, 0, 0, 0, 8, 0, 32, 0, 0, 0, -32, 0, 0, 0, 64, 0, 64, 0, -64, 0, 32, 0, 0, 0, 240, 0, -48, 0, -48, 0, -96, 0, -40, 0, 48, 0, -48, 0, -96, 0, 0, 0, 0, 0, 160, 0, 64, 0, 16, 0, 16, 0, 0, 0, 0, 0, 128, 0, 104, 0, 192, 0, 32, 0, -32, 0, -96, 0, -64, 0, -32, 0, -32, 0, -16, 0, 0, 0, -96, 0, 144, 0, 0, 0, -16, 0, 32, 0, 56, 0, -96, 0, 8, 0, -32, 0, -304, 0, -64, 0, 24, 0, 0, 0, 0, 0, 16, 0, -16, 0, -96, 0, -16, 0, -128, 0, -168, 0, -32, 0, 128, 0, -32, 0, 156, 0, 192, 0, 128, 0, 16, 0, -56, 0, 160, 0, 48, 0, -128, 0, 40, 0, 0, 0, -96, 0, 88, 0, -32, 0, 96, 0, -56, 0, -32, 0, -144, 0, -128, 0, 104, 0, 0, 0, 160, 0, -32, 0, -80, 0, -128, 0, 24, 0, 96, 0, -32, 0, -32, 0, 224, 0, -32, 0, 8, 0, -64, 0, 88, 0, 96, 0, 0, 0, -80, 0, -40, 0, -96, 0, 128, 0, 0, 0, -144, 0, 96, 0, 48, 0, -192, 0, -32, 0, -32, 0, -120, 0, -48, 0, 8, 0, 0, 0, -64, 0, 0, 0, -224, 0, -64, 0, 0, 0, -128, 0, 24, 0, 0, 0, -224, 0, 88, 0, 16, 0, 128, 0, 152, 0, 16, 0, -112, 0, 64, 0, -32, 0, -128, 0, -104, 0, -32, 0, 64, 0, -32, 0, 112, 0, -128, 0, 0, 0, 16, 0, -16, 0, 0, 0, 48, 0, 0, 0, 48, 0, -32, 0, -96, 0, -80, 0, 4, 0, 128, 0, -48, 0, 0, 0, -48, 0, -32, 0, 104, 0, -128, 0, 240, 0, -32, 0, 0, 0, -96, 0, 96, 0, -96, 0, -64, 0, 0, 0, -400, 0, 0, 0, 8, 0, 0, 0, 48, 0, -32, 0, -240, 0, 0, 0, 56, 0, 0, 0, 72, 0, 88, 0, 48, 0, 32, 0, 0, 0, -32, 0, -248, 0, -32, 0, 32, 0, 0, 0, 0, 0, 64, 0, 8, 0, -32, 0, 0, 0, -128, 0, 0, 0, -160, 0, 352, 0, 0, 0, 64, 0, 16, 0, 96, 0, -64, 0, 8, 0, 96, 0, 160, 0, -192, 0, -24, 0, -32, 0, -232, 0, 64, 0, 56, 0, 64, 0, 24, 0, 96, 0, 128, 0, 0, 0, -272, 0, 0, 0, -8, 0, -160, 0, -24, 0, -32, 0, 16, 0, 64, 0, -64, 0, -192, 0, -32, 0, 0, 0, 144, 0, -96, 0, 104, 0, 0, 0, 0, 0, 0, 0, -256, 0, 120, 0, -112, 0, 64, 0, -168, 0, 80, 0, 0, 0, -128, 0, 0, 0, -96, 0, -104, 0, -96, 0, 64, 0, -32, 0, 76, 0, 128, 0, 144, 0, 16, 0, 0, 0, 0, 0, -32, 0, 256, 0, 464, 0, -32, 0, -16, 0, 128, 0, 0, 0, 64, 0, 16, 0, 0, 0, -248, 0, 128, 0, 96, 0, 96, 0, -24, 0, -32, 0, 112, 0, 32, 0, 48, 0, 160, 0, 120, 0, 16, 0, -48, 0, 0, 0, -40, 0, -32, 0, 56, 0, -96, 0, -112, 0, 144, 0, 24, 0, 160, 0, -64, 0, 0, 0, 96, 0, 160, 0, 80, 0, 0, 0, 64, 0, 0, 0, -64, 0, 40, 0, 0, 0, -32, 0, -160, 0, 0, 0, 0, 0, 192, 0, 8, 0, -192, 0, -96, 0, 0, 0, -16, 0, -32, 0, -48, 0, 0, 0, 264, 0, 80, 0, 0, 0, -160, 0, 8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48383161
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208340368, 'source_is_minimal': False, 'source_label': '5520.2.a.v.1.1', 'source_level': 5520, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208340368, 'target_is_minimal': False, 'target_label': '5520.2.a.v.1.1', 'target_level': 5520, 'twist_class_label': '2760.2.a.a.1.1', 'twist_class_level': 2760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48383162
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208340368, 'source_is_minimal': False, 'source_label': '5520.2.a.v.1.1', 'source_level': 5520, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33557192, 'target_is_minimal': True, 'target_label': '2760.2.a.a.1.1', 'target_level': 2760, 'twist_class_label': '2760.2.a.a.1.1', 'twist_class_level': 2760, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48383163
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 94575592208340368, 'source_is_minimal': False, 'source_label': '5520.2.a.v.1.1', 'source_level': 5520, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444120152, 'target_is_minimal': False, 'target_label': '8280.2.a.p.1.1', 'target_level': 8280, 'twist_class_label': '2760.2.a.a.1.1', 'twist_class_level': 2760, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3921225
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 2}
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id: 3921226
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 3}
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id: 3921227
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 5}
-
id: 3921228
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 7}
-
id: 3921229
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 11}
-
id: 3921230
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 13}
-
id: 3921231
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 17}
-
id: 3921232
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 19}
-
id: 3921233
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 23}
-
id: 3921234
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 29}
-
id: 3921235
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 31}
-
id: 3921236
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 37}
-
id: 3921237
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 41}
-
id: 3921238
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 43}
-
id: 3921239
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 47}
-
id: 3921240
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 53}
-
id: 3921241
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 59}
-
id: 3921242
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 61}
-
id: 3921243
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 67}
-
id: 3921244
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 71}
-
id: 3921245
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 73}
-
id: 3921246
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 79}
-
id: 3921247
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 83}
-
id: 3921248
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 89}
-
id: 3921249
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 94575592208340368, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '5520.2.a.v', 'level': 5520, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64963861
{'hecke_orbit_code': 94575592208340368, 'n': 1, 'trace_an': 1}
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id: 64963862
{'hecke_orbit_code': 94575592208340368, 'n': 2, 'trace_an': 0}
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id: 64963863
{'hecke_orbit_code': 94575592208340368, 'n': 3, 'trace_an': 1}
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id: 64963864
{'hecke_orbit_code': 94575592208340368, 'n': 4, 'trace_an': 0}
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id: 64963865
{'hecke_orbit_code': 94575592208340368, 'n': 5, 'trace_an': -1}
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id: 64963866
{'hecke_orbit_code': 94575592208340368, 'n': 6, 'trace_an': 0}
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id: 64963867
{'hecke_orbit_code': 94575592208340368, 'n': 7, 'trace_an': 0}
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id: 64963868
{'hecke_orbit_code': 94575592208340368, 'n': 8, 'trace_an': 0}
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id: 64963869
{'hecke_orbit_code': 94575592208340368, 'n': 9, 'trace_an': 1}
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id: 64963870
{'hecke_orbit_code': 94575592208340368, 'n': 10, 'trace_an': 0}
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id: 64963871
{'hecke_orbit_code': 94575592208340368, 'n': 11, 'trace_an': -4}
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id: 64963872
{'hecke_orbit_code': 94575592208340368, 'n': 12, 'trace_an': 0}
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id: 64963873
{'hecke_orbit_code': 94575592208340368, 'n': 13, 'trace_an': 2}
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id: 64963874
{'hecke_orbit_code': 94575592208340368, 'n': 14, 'trace_an': 0}
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id: 64963875
{'hecke_orbit_code': 94575592208340368, 'n': 15, 'trace_an': -1}
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