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{'Nk2': 11040, 'analytic_conductor': 22.038710957873388, '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': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2760, 1, [2071, 1381, 1841, 1657, 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]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835708104, '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': True, 'label': '2760.2.a.w', 'level': 2760, '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+\\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': '2760.2.a', 'trace_display': [0, -5, 5, -4], 'trace_hash': 1539963580566027225, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.078', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.747', 'prec': 17}, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, 1], [23, 1]], 2, 2], [[[2, -1], [3, -1], [5, -1], [23, -1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [23, -1]], 4, 1], [[[2, 1], [3, 1], [5, -1], [23, -1]], 1, 1], [[[2, 1], [3, 1], [5, -1], [23, 1]], 5, 1], [[[2, -1], [3, -1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [3, 1], [5, 1], [23, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [23, -1]], 3, 2], [[[2, 1], [3, -1], [5, -1], [23, -1]], 3, 1], [[[2, 1], [3, 1], [5, 1], [23, -1]], 4, 3], [[[2, 1], [3, -1], [5, 1], [23, -1]], 3, 1], [[[2, 1], [3, -1], [5, 1], [23, 1]], 2, 1], [[[2, 1], [3, -1], [5, -1], [23, 1]], 2, 1], [[[2, 1], [3, 1], [5, 1], [23, 1]], 2, 1], [[[2, -1], [3, 1], [5, -1], [23, 1]], 3, 2], [[[2, -1], [3, -1], [5, 1], [23, -1]], 3, 1]], 'ALdims': [2, 4, 5, 1, 2, 3, 2, 3, 2, 4, 3, 3, 2, 3, 4, 1], 'Nk2': 11040, 'analytic_conductor': 22.038710957873388, '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': [2760, 1, [2071, 1381, 1841, 1657, 1201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 561, 'dim': 44, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 33557192, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5], 'label': '2760.2.a', 'level': 2760, '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': 592, 'mf_new_dim': 44, 'num_forms': 23, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 44, 'sturm_bound': 1152, 'trace_bound': 11, 'trace_display': [0, -4, 0, -8], 'traces': [44, 0, -4, 0, 0, 0, -8, 0, 44, 0, 0, 0, 0, 0, 0, 0, 16, 0, -8, 0, -8, 0, 0, 0, 44, 0, -4, 0, 16, 0, -8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 52, 0, 0, 0, -48, 0, 0, 0, -8, 0, 16, 0, -56, 0, -8, 0, 0, 0, 8, 0, 0, 0, 16, 0, 8, 0, -4, 0, 0, 0, 24, 0, 44, 0, 48, 0, 8, 0, 16, 0, 48, 0, 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mf_twists_cc • Show schema
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id: 48429215
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 99079191835708104, 'source_is_minimal': True, 'source_label': '2760.2.a.w.1.3', 'source_level': 2760, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079191835708104, 'target_is_minimal': True, 'target_label': '2760.2.a.w.1.3', 'target_level': 2760, 'twist_class_label': '2760.2.a.w.1.3', 'twist_class_level': 2760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48429216
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 99079191835708104, 'source_is_minimal': True, 'source_label': '2760.2.a.w.1.3', 'source_level': 2760, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 193654784010494040, 'target_is_minimal': False, 'target_label': '8280.2.a.br.1.3', 'target_level': 8280, 'twist_class_label': '2760.2.a.w.1.3', 'twist_class_level': 2760, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48429217
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 3, 'source_hecke_orbit_code': 99079191835708104, 'source_is_minimal': True, 'source_label': '2760.2.a.w.1.3', 'source_level': 2760, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 3, 'target_hecke_orbit_code': 243194379911566736, 'target_is_minimal': False, 'target_label': '5520.2.a.cc.1.3', 'target_level': 5520, 'twist_class_label': '2760.2.a.w.1.3', 'twist_class_level': 2760, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2838100
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 99079191835708104, 'p': 2}
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id: 2838101
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 99079191835708104, 'p': 3}
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id: 2838102
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 99079191835708104, 'p': 5}
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id: 2838103
{'charpoly_factorization': [[[128, 104, -54, -19, 4, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 7}
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id: 2838104
{'charpoly_factorization': [[[1312, 408, -160, -46, 4, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 11}
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id: 2838105
{'charpoly_factorization': [[[-3584, 968, 248, -66, -4, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 13}
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id: 2838106
{'charpoly_factorization': [[[2416, -2148, 584, -25, -10, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 17}
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id: 2838107
{'charpoly_factorization': [[[512, 256, -120, -54, 4, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 19}
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id: 2838108
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 99079191835708104, 'p': 23}
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id: 2838109
{'charpoly_factorization': [[[1424, -1476, 472, -25, -10, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 29}
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id: 2838110
{'charpoly_factorization': [[[-4096, 128, 568, -79, -6, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 31}
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id: 2838111
{'charpoly_factorization': [[[-112, 44, 76, -11, -6, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 37}
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id: 2838112
{'charpoly_factorization': [[[1912, -3196, 1010, -53, -12, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 41}
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id: 2838113
{'charpoly_factorization': [[[128, 1344, -40, -84, 2, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 43}
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id: 2838114
{'charpoly_factorization': [[[-512, 256, 120, -54, -4, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 47}
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id: 2838115
{'charpoly_factorization': [[[-2344, 3364, 202, -141, 0, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 53}
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id: 2838116
{'charpoly_factorization': [[[-53248, 14032, 1536, -269, -6, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 59}
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id: 2838117
{'charpoly_factorization': [[[25856, -17480, 3368, -126, -16, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 61}
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id: 2838118
{'charpoly_factorization': [[[-6176, 4160, -162, -123, 4, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 67}
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id: 2838119
{'charpoly_factorization': [[[-6464, 1000, 482, -65, -8, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 71}
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id: 2838120
{'charpoly_factorization': [[[-656, 88, 316, -42, -14, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 73}
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id: 2838121
{'charpoly_factorization': [[[-32768, -768, 1984, -88, -18, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 79}
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id: 2838122
{'charpoly_factorization': [[[-9056, -4384, -414, 95, 20, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 83}
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id: 2838123
{'charpoly_factorization': [[[-3328, 7936, 1552, -120, -18, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 89}
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id: 2838124
{'charpoly_factorization': [[[-13952, 13536, 1360, -364, -4, 1], 1]], 'hecke_orbit_code': 99079191835708104, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '2760.2.a.w', 'level': 2760, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 253344000
{'hecke_orbit_code': 99079191835708104, 'n': 1, 'trace_an': 5}
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id: 253344001
{'hecke_orbit_code': 99079191835708104, 'n': 2, 'trace_an': 0}
-
id: 253344002
{'hecke_orbit_code': 99079191835708104, 'n': 3, 'trace_an': -5}
-
id: 253344003
{'hecke_orbit_code': 99079191835708104, 'n': 4, 'trace_an': 0}
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id: 253344004
{'hecke_orbit_code': 99079191835708104, 'n': 5, 'trace_an': 5}
-
id: 253344005
{'hecke_orbit_code': 99079191835708104, 'n': 6, 'trace_an': 0}
-
id: 253344006
{'hecke_orbit_code': 99079191835708104, 'n': 7, 'trace_an': -4}
-
id: 253344007
{'hecke_orbit_code': 99079191835708104, 'n': 8, 'trace_an': 0}
-
id: 253344008
{'hecke_orbit_code': 99079191835708104, 'n': 9, 'trace_an': 5}
-
id: 253344009
{'hecke_orbit_code': 99079191835708104, 'n': 10, 'trace_an': 0}
-
id: 253344010
{'hecke_orbit_code': 99079191835708104, 'n': 11, 'trace_an': -4}
-
id: 253344011
{'hecke_orbit_code': 99079191835708104, 'n': 12, 'trace_an': 0}
-
id: 253344012
{'hecke_orbit_code': 99079191835708104, 'n': 13, 'trace_an': 4}
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id: 253344013
{'hecke_orbit_code': 99079191835708104, 'n': 14, 'trace_an': 0}
-
id: 253344014
{'hecke_orbit_code': 99079191835708104, 'n': 15, 'trace_an': -5}
-
id: 253344015
{'hecke_orbit_code': 99079191835708104, 'n': 16, 'trace_an': 0}
-
id: 253344016
{'hecke_orbit_code': 99079191835708104, 'n': 17, 'trace_an': 10}
-
id: 253344017
{'hecke_orbit_code': 99079191835708104, 'n': 18, 'trace_an': 0}
-
id: 253344018
{'hecke_orbit_code': 99079191835708104, 'n': 19, 'trace_an': -4}
-
id: 253344019
{'hecke_orbit_code': 99079191835708104, 'n': 20, 'trace_an': 0}
-
id: 253344020
{'hecke_orbit_code': 99079191835708104, 'n': 21, 'trace_an': 4}
-
id: 253344021
{'hecke_orbit_code': 99079191835708104, 'n': 22, 'trace_an': 0}
-
id: 253344022
{'hecke_orbit_code': 99079191835708104, 'n': 23, 'trace_an': -5}
-
id: 253344023
{'hecke_orbit_code': 99079191835708104, 'n': 24, 'trace_an': 0}
-
id: 253344024
{'hecke_orbit_code': 99079191835708104, 'n': 25, 'trace_an': 5}
-
id: 253344025
{'hecke_orbit_code': 99079191835708104, 'n': 26, 'trace_an': 0}
-
id: 253344026
{'hecke_orbit_code': 99079191835708104, 'n': 27, 'trace_an': -5}
-
id: 253344027
{'hecke_orbit_code': 99079191835708104, 'n': 28, 'trace_an': 0}
-
id: 253344028
{'hecke_orbit_code': 99079191835708104, 'n': 29, 'trace_an': 10}
-
id: 253344029
{'hecke_orbit_code': 99079191835708104, 'n': 30, 'trace_an': 0}
-
id: 253344030
{'hecke_orbit_code': 99079191835708104, 'n': 31, 'trace_an': 6}
-
id: 253344031
{'hecke_orbit_code': 99079191835708104, 'n': 32, 'trace_an': 0}
-
id: 253344032
{'hecke_orbit_code': 99079191835708104, 'n': 33, 'trace_an': 4}
-
id: 253344033
{'hecke_orbit_code': 99079191835708104, 'n': 34, 'trace_an': 0}
-
id: 253344034
{'hecke_orbit_code': 99079191835708104, 'n': 35, 'trace_an': -4}
-
id: 253344035
{'hecke_orbit_code': 99079191835708104, 'n': 36, 'trace_an': 0}
-
id: 253344036
{'hecke_orbit_code': 99079191835708104, 'n': 37, 'trace_an': 6}
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