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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': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 1]], 'field_poly': [-2, -6, -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, [44, -23, -2, 1]], [11, [64, 2, -8, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580967112, 'hecke_ring_generator_nbound': 11, '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': True, 'label': '2760.2.a.u', '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.u', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+(1-2\\beta _{1}-\\beta _{2})q^{7}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2760.2.a', 'trace_display': [0, 3, 3, 2], 'trace_hash': 1225609766048571422, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.850', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.248', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '244.278', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [3, 0, 3, 0, 3, 0, 2, 0, 3, 0, 8, 0, 2, 0, 3, 0, -4, 0, 0, 0, 2, 0, -3, 0, 3, 0, 3, 0, 20, 0, 14, 0, 8, 0, 2, 0, -4, 0, 2, 0, -8, 0, -8, 0, 3, 0, 12, 0, 29, 0, -4, 0, 0, 0, 8, 0, 0, 0, 14, 0, -22, 0, 2, 0, 2, 0, 6, 0, -3, 0, -6, 0, -10, 0, 3, 0, -8, 0, 4, 0, 3, 0, 22, 0, -4, 0, 20, 0, -10, 0, -12, 0, 14, 0, 0, 0, 2, 0, 8, 0, -8, 0, 8, 0, 2, 0, 2, 0, -10, 0, -4, 0, 8, 0, -3, 0, 2, 0, 18, 0, 27, 0, -8, 0, 3, 0, -8, 0, -8, 0, 28, 0, -28, 0, 3, 0, 14, 0, 18, 0, 12, 0, 44, 0, 20, 0, 29, 0, 18, 0, -4, 0, -4, 0, 14, 0, -12, 0, 0, 0, -2, 0, 16, 0, 8, 0, -12, 0, 1, 0, 0, 0, -34, 0, 2, 0, 14, 0, 24, 0, -6, 0, -22, 0, -4, 0, -28, 0, 2, 0, -36, 0, -6, 0, 2, 0, 2, 0, 0, 0, 6, 0, 34, 0, -8, 0, -3, 0, -4, 0, -42, 0, -6, 0, -8, 0, -54, 0, -10, 0, -20, 0, -20, 0, 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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: 48314764
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 90071992580967112, 'source_is_minimal': True, 'source_label': '2760.2.a.u.1.3', 'source_level': 2760, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 90071992580967112, 'target_is_minimal': True, 'target_label': '2760.2.a.u.1.3', 'target_level': 2760, 'twist_class_label': '2760.2.a.u.1.3', 'twist_class_level': 2760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48314765
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 90071992580967112, 'source_is_minimal': True, 'source_label': '2760.2.a.u.1.3', 'source_level': 2760, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 153122387364159576, 'target_is_minimal': False, 'target_label': '8280.2.a.bi.1.3', 'target_level': 8280, 'twist_class_label': '2760.2.a.u.1.3', 'twist_class_level': 2760, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48314766
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 90071992580967112, 'source_is_minimal': True, 'source_label': '2760.2.a.u.1.3', 'source_level': 2760, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 229683581029455248, 'target_is_minimal': False, 'target_label': '5520.2.a.bz.1.1', 'target_level': 5520, 'twist_class_label': '2760.2.a.u.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: 2832675
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 90071992580967112, 'p': 2}
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id: 2832676
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 90071992580967112, 'p': 3}
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id: 2832677
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 90071992580967112, 'p': 5}
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id: 2832678
{'charpoly_factorization': [[[44, -23, -2, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 7}
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id: 2832679
{'charpoly_factorization': [[[64, 2, -8, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 11}
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id: 2832680
{'charpoly_factorization': [[[44, -18, -2, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 13}
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id: 2832681
{'charpoly_factorization': [[[-2, -1, 4, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 17}
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id: 2832682
{'charpoly_factorization': [[[8, -10, 0, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 19}
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id: 2832683
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 90071992580967112, 'p': 23}
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id: 2832684
{'charpoly_factorization': [[[-250, 127, -20, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 29}
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id: 2832685
{'charpoly_factorization': [[[472, -7, -14, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 31}
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id: 2832686
{'charpoly_factorization': [[[-2, -19, 4, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 37}
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id: 2832687
{'charpoly_factorization': [[[-670, -97, 8, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 41}
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id: 2832688
{'charpoly_factorization': [[[-80, -12, 8, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 43}
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id: 2832689
{'charpoly_factorization': [[[-32, 38, -12, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 47}
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id: 2832690
{'charpoly_factorization': [[[-122, -49, 0, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 53}
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id: 2832691
{'charpoly_factorization': [[[1100, -69, -14, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 59}
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id: 2832692
{'charpoly_factorization': [[[-580, 66, 22, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 61}
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id: 2832693
{'charpoly_factorization': [[[1156, -175, -6, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 67}
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id: 2832694
{'charpoly_factorization': [[[-848, -133, 6, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 71}
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id: 2832695
{'charpoly_factorization': [[[-764, -130, 10, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 73}
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id: 2832696
{'charpoly_factorization': [[[-128, -96, -4, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 79}
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id: 2832697
{'charpoly_factorization': [[[-352, 155, -22, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 83}
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id: 2832698
{'charpoly_factorization': [[[-848, -88, 10, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 89}
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id: 2832699
{'charpoly_factorization': [[[-16, -248, -2, 1], 1]], 'hecke_orbit_code': 90071992580967112, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '2760.2.a.u', '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: 249028000
{'hecke_orbit_code': 90071992580967112, 'n': 1, 'trace_an': 3}
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id: 249028001
{'hecke_orbit_code': 90071992580967112, 'n': 2, 'trace_an': 0}
-
id: 249028002
{'hecke_orbit_code': 90071992580967112, 'n': 3, 'trace_an': 3}
-
id: 249028003
{'hecke_orbit_code': 90071992580967112, 'n': 4, 'trace_an': 0}
-
id: 249028004
{'hecke_orbit_code': 90071992580967112, 'n': 5, 'trace_an': 3}
-
id: 249028005
{'hecke_orbit_code': 90071992580967112, 'n': 6, 'trace_an': 0}
-
id: 249028006
{'hecke_orbit_code': 90071992580967112, 'n': 7, 'trace_an': 2}
-
id: 249028007
{'hecke_orbit_code': 90071992580967112, 'n': 8, 'trace_an': 0}
-
id: 249028008
{'hecke_orbit_code': 90071992580967112, 'n': 9, 'trace_an': 3}
-
id: 249028009
{'hecke_orbit_code': 90071992580967112, 'n': 10, 'trace_an': 0}
-
id: 249028010
{'hecke_orbit_code': 90071992580967112, 'n': 11, 'trace_an': 8}
-
id: 249028011
{'hecke_orbit_code': 90071992580967112, 'n': 12, 'trace_an': 0}
-
id: 249028012
{'hecke_orbit_code': 90071992580967112, 'n': 13, 'trace_an': 2}
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id: 249028013
{'hecke_orbit_code': 90071992580967112, 'n': 14, 'trace_an': 0}
-
id: 249028014
{'hecke_orbit_code': 90071992580967112, 'n': 15, 'trace_an': 3}
-
id: 249028015
{'hecke_orbit_code': 90071992580967112, 'n': 16, 'trace_an': 0}
-
id: 249028016
{'hecke_orbit_code': 90071992580967112, 'n': 17, 'trace_an': -4}
-
id: 249028017
{'hecke_orbit_code': 90071992580967112, 'n': 18, 'trace_an': 0}
-
id: 249028018
{'hecke_orbit_code': 90071992580967112, 'n': 19, 'trace_an': 0}
-
id: 249028019
{'hecke_orbit_code': 90071992580967112, 'n': 20, 'trace_an': 0}
-
id: 249028020
{'hecke_orbit_code': 90071992580967112, 'n': 21, 'trace_an': 2}
-
id: 249028021
{'hecke_orbit_code': 90071992580967112, 'n': 22, 'trace_an': 0}
-
id: 249028022
{'hecke_orbit_code': 90071992580967112, 'n': 23, 'trace_an': -3}
-
id: 249028023
{'hecke_orbit_code': 90071992580967112, 'n': 24, 'trace_an': 0}
-
id: 249028024
{'hecke_orbit_code': 90071992580967112, 'n': 25, 'trace_an': 3}
-
id: 249028025
{'hecke_orbit_code': 90071992580967112, 'n': 26, 'trace_an': 0}
-
id: 249028026
{'hecke_orbit_code': 90071992580967112, 'n': 27, 'trace_an': 3}
-
id: 249028027
{'hecke_orbit_code': 90071992580967112, 'n': 28, 'trace_an': 0}
-
id: 249028028
{'hecke_orbit_code': 90071992580967112, 'n': 29, 'trace_an': 20}
-
id: 249028029
{'hecke_orbit_code': 90071992580967112, 'n': 30, 'trace_an': 0}
-
id: 249028030
{'hecke_orbit_code': 90071992580967112, 'n': 31, 'trace_an': 14}
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id: 249028031
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