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{'Nk2': 22080, 'analytic_conductor': 44.077421915746775, 'analytic_rank': 0, '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, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 20087896, 'field_disc_factorization': [[2, 3], [337, 1], [7451, 1]], 'field_poly': [-4, 84, 5, -21, -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': [[7, [-128, 104, 54, -19, -4, 1]], [11, [-1312, 408, 160, -46, -4, 1]], [13, [-3584, 968, 248, -66, -4, 1]], [17, [2416, -2148, 584, -25, -10, 1]], [19, [-512, 256, 120, -54, -4, 1]]], 'hecke_orbit': 55, 'hecke_orbit_code': 243194379911566736, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': '5520.2.a.cc', 'level': 5520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 23], 'level_radical': 690, 'minimal_twist': '2760.2.a.w', 'nf_label': '5.5.20087896.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+(1-\\beta _{1})q^{7}+q^{9}+(1-\\beta _{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5520.2.a', 'trace_display': [0, 5, 5, 4], 'trace_hash': 208434658534793605, 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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 5, 4], [[[2, -1], [3, -1], [5, -1], [23, -1]], 5, 4], [[[2, -1], [3, 1], [5, 1], [23, -1]], 5, 4], [[[2, 1], [3, 1], [5, -1], [23, -1]], 6, 3], [[[2, 1], [3, 1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, -1], [5, -1], [23, 1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [23, 1]], 6, 4], [[[2, -1], [3, 1], [5, -1], [23, -1]], 6, 5], [[[2, 1], [3, -1], [5, -1], [23, -1]], 8, 3], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, 1]], 8, 4], [[[2, 1], [3, -1], [5, -1], [23, 1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [23, 1]], 6, 2], [[[2, -1], [3, 1], [5, -1], [23, 1]], 5, 3], [[[2, -1], [3, -1], [5, 1], [23, -1]], 6, 5]], '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_prime': False, 'level_is_prime_power': 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, 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mf_twists_cc • Show schema
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id: 49068576
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 243194379911566736, 'source_is_minimal': False, 'source_label': '5520.2.a.cc.1.5', 'source_level': 5520, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 243194379911566736, 'target_is_minimal': False, 'target_label': '5520.2.a.cc.1.5', 'target_level': 5520, 'twist_class_label': '2760.2.a.w.1.1', 'twist_class_level': 2760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49068577
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 243194379911566736, 'source_is_minimal': False, 'source_label': '5520.2.a.cc.1.5', 'source_level': 5520, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835708104, 'target_is_minimal': True, 'target_label': '2760.2.a.w.1.1', 'target_level': 2760, 'twist_class_label': '2760.2.a.w.1.1', 'twist_class_level': 2760, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49068578
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 5, 'source_hecke_orbit_code': 243194379911566736, 'source_is_minimal': False, 'source_label': '5520.2.a.cc.1.5', 'source_level': 5520, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010494040, 'target_is_minimal': False, 'target_label': '8280.2.a.br.1.1', 'target_level': 8280, 'twist_class_label': '2760.2.a.w.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
Hide schema
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id: 3921750
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 243194379911566736, 'p': 2}
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id: 3921751
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 243194379911566736, 'p': 3}
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id: 3921752
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 243194379911566736, 'p': 5}
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id: 3921753
{'charpoly_factorization': [[[-128, 104, 54, -19, -4, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 7}
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id: 3921754
{'charpoly_factorization': [[[-1312, 408, 160, -46, -4, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 11}
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id: 3921755
{'charpoly_factorization': [[[-3584, 968, 248, -66, -4, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 13}
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id: 3921756
{'charpoly_factorization': [[[2416, -2148, 584, -25, -10, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 17}
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id: 3921757
{'charpoly_factorization': [[[-512, 256, 120, -54, -4, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 19}
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id: 3921758
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 243194379911566736, 'p': 23}
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id: 3921759
{'charpoly_factorization': [[[1424, -1476, 472, -25, -10, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 29}
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id: 3921760
{'charpoly_factorization': [[[4096, 128, -568, -79, 6, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 31}
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id: 3921761
{'charpoly_factorization': [[[-112, 44, 76, -11, -6, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 37}
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id: 3921762
{'charpoly_factorization': [[[1912, -3196, 1010, -53, -12, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 41}
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id: 3921763
{'charpoly_factorization': [[[-128, 1344, 40, -84, -2, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 43}
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id: 3921764
{'charpoly_factorization': [[[512, 256, -120, -54, 4, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 47}
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id: 3921765
{'charpoly_factorization': [[[-2344, 3364, 202, -141, 0, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 53}
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id: 3921766
{'charpoly_factorization': [[[53248, 14032, -1536, -269, 6, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 59}
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id: 3921767
{'charpoly_factorization': [[[25856, -17480, 3368, -126, -16, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 61}
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id: 3921768
{'charpoly_factorization': [[[6176, 4160, 162, -123, -4, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 67}
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id: 3921769
{'charpoly_factorization': [[[6464, 1000, -482, -65, 8, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 71}
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id: 3921770
{'charpoly_factorization': [[[-656, 88, 316, -42, -14, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 73}
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id: 3921771
{'charpoly_factorization': [[[32768, -768, -1984, -88, 18, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 79}
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id: 3921772
{'charpoly_factorization': [[[9056, -4384, 414, 95, -20, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 83}
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id: 3921773
{'charpoly_factorization': [[[-3328, 7936, 1552, -120, -18, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 89}
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id: 3921774
{'charpoly_factorization': [[[-13952, 13536, 1360, -364, -4, 1], 1]], 'hecke_orbit_code': 243194379911566736, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 55, 'label': '5520.2.a.cc', 'level': 5520, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 278399000
{'hecke_orbit_code': 243194379911566736, 'n': 1, 'trace_an': 5}
-
id: 278399001
{'hecke_orbit_code': 243194379911566736, 'n': 2, 'trace_an': 0}
-
id: 278399002
{'hecke_orbit_code': 243194379911566736, 'n': 3, 'trace_an': 5}
-
id: 278399003
{'hecke_orbit_code': 243194379911566736, 'n': 4, 'trace_an': 0}
-
id: 278399004
{'hecke_orbit_code': 243194379911566736, 'n': 5, 'trace_an': 5}
-
id: 278399005
{'hecke_orbit_code': 243194379911566736, 'n': 6, 'trace_an': 0}
-
id: 278399006
{'hecke_orbit_code': 243194379911566736, 'n': 7, 'trace_an': 4}
-
id: 278399007
{'hecke_orbit_code': 243194379911566736, 'n': 8, 'trace_an': 0}
-
id: 278399008
{'hecke_orbit_code': 243194379911566736, 'n': 9, 'trace_an': 5}
-
id: 278399009
{'hecke_orbit_code': 243194379911566736, 'n': 10, 'trace_an': 0}
-
id: 278399010
{'hecke_orbit_code': 243194379911566736, 'n': 11, 'trace_an': 4}
-
id: 278399011
{'hecke_orbit_code': 243194379911566736, 'n': 12, 'trace_an': 0}
-
id: 278399012
{'hecke_orbit_code': 243194379911566736, 'n': 13, 'trace_an': 4}
-
id: 278399013
{'hecke_orbit_code': 243194379911566736, 'n': 14, 'trace_an': 0}
-
id: 278399014
{'hecke_orbit_code': 243194379911566736, 'n': 15, 'trace_an': 5}
-
id: 278399015
{'hecke_orbit_code': 243194379911566736, 'n': 16, 'trace_an': 0}
-
id: 278399016
{'hecke_orbit_code': 243194379911566736, 'n': 17, 'trace_an': 10}
-
id: 278399017
{'hecke_orbit_code': 243194379911566736, 'n': 18, 'trace_an': 0}
-
id: 278399018
{'hecke_orbit_code': 243194379911566736, 'n': 19, 'trace_an': 4}
-
id: 278399019
{'hecke_orbit_code': 243194379911566736, 'n': 20, 'trace_an': 0}
-
id: 278399020
{'hecke_orbit_code': 243194379911566736, 'n': 21, 'trace_an': 4}
-
id: 278399021
{'hecke_orbit_code': 243194379911566736, 'n': 22, 'trace_an': 0}
-
id: 278399022
{'hecke_orbit_code': 243194379911566736, 'n': 23, 'trace_an': 5}
-
id: 278399023
{'hecke_orbit_code': 243194379911566736, 'n': 24, 'trace_an': 0}
-
id: 278399024
{'hecke_orbit_code': 243194379911566736, 'n': 25, 'trace_an': 5}
-
id: 278399025
{'hecke_orbit_code': 243194379911566736, 'n': 26, 'trace_an': 0}
-
id: 278399026
{'hecke_orbit_code': 243194379911566736, 'n': 27, 'trace_an': 5}
-
id: 278399027
{'hecke_orbit_code': 243194379911566736, 'n': 28, 'trace_an': 0}
-
id: 278399028
{'hecke_orbit_code': 243194379911566736, 'n': 29, 'trace_an': 10}
-
id: 278399029
{'hecke_orbit_code': 243194379911566736, 'n': 30, 'trace_an': 0}
-
id: 278399030
{'hecke_orbit_code': 243194379911566736, 'n': 31, 'trace_an': -6}
-
id: 278399031
{'hecke_orbit_code': 243194379911566736, 'n': 32, 'trace_an': 0}
-
id: 278399032
{'hecke_orbit_code': 243194379911566736, 'n': 33, 'trace_an': 4}
-
id: 278399033
{'hecke_orbit_code': 243194379911566736, 'n': 34, 'trace_an': 0}
-
id: 278399034
{'hecke_orbit_code': 243194379911566736, 'n': 35, 'trace_an': 4}
-
id: 278399035
{'hecke_orbit_code': 243194379911566736, 'n': 36, 'trace_an': 0}
-
id: 278399036
{'hecke_orbit_code': 243194379911566736, 'n': 37, 'trace_an': 6}
-
id: 278399037
{'hecke_orbit_code': 243194379911566736, 'n': 38, 'trace_an': 0}
-
id: 278399038
{'hecke_orbit_code': 243194379911566736, 'n': 39, 'trace_an': 4}
-
id: 278399039
{'hecke_orbit_code': 243194379911566736, 'n': 40, 'trace_an': 0}
-
id: 278399040
{'hecke_orbit_code': 243194379911566736, 'n': 41, 'trace_an': 12}
-
id: 278399041
{'hecke_orbit_code': 243194379911566736, 'n': 42, 'trace_an': 0}
-
id: 278399042
{'hecke_orbit_code': 243194379911566736, 'n': 43, 'trace_an': 2}
-
id: 278399043
{'hecke_orbit_code': 243194379911566736, 'n': 44, 'trace_an': 0}
-
id: 278399044
{'hecke_orbit_code': 243194379911566736, 'n': 45, 'trace_an': 5}
-
id: 278399045
{'hecke_orbit_code': 243194379911566736, 'n': 46, 'trace_an': 0}
-
id: 278399046
{'hecke_orbit_code': 243194379911566736, 'n': 47, 'trace_an': -4}
-
id: 278399047
{'hecke_orbit_code': 243194379911566736, 'n': 48, 'trace_an': 0}
-
id: 278399048
{'hecke_orbit_code': 243194379911566736, 'n': 49, 'trace_an': 19}
-
id: 278399049
{'hecke_orbit_code': 243194379911566736, 'n': 50, 'trace_an': 0}
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id: 278399050
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