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{'Nk2': 10164, 'analytic_conductor': 20.289987153607346, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 1], [11, -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': [2541, 1, [848, 1816, 2059], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -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': [[2, [-4, 1, 1]], [5, [-1, 1]], [13, [8, 7, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580966893, 'hecke_ring_generator_nbound': 2, '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': '2541.2.a.u', 'level': 2541, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 11], 'level_radical': 231, 'minimal_twist': '2541.2.a.u', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+q^{3}+(2+\\beta )q^{4}+q^{5}-\\beta q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2541.2.a', 'trace_display': [-1, 2, 2, -2], 'trace_hash': 1159302951653813599, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.904', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.841', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, -1], [1, 0], [2, 1], [1, 0], [0, -1], [-1, 0], [-4, -1], [1, 0], [0, -1], [0, 0], [2, 1], [-4, 1], [0, 1], [1, 0], [0, 3], [-1, 2], [0, -1], [-6, 0], [2, 1], [-1, 0], [0, 0], [-4, 0], [-4, -1], [-4, 0], [-4, 3], [1, 0], [-2, -1], [-2, 3], [0, -1], [2, -4], [-4, -1], [0, 0], [-8, -1], [-1, 0], [2, 1], [2, 3], [0, 6], [-4, 1], [-4, -1], [6, -1], [0, 1], [1, -3], [0, 0], [1, 0], [0, 4], [5, 1], [0, 3], [1, 0], [0, 4], [-1, 2], [-4, -1], [0, -5], [0, -1], [0, 0], [4, 1], [-6, 0], [-12, -1], [-11, 1], [2, 1], [4, -6], [16, 2], [-1, 0], [4, -1], [-4, 1], [0, 0], [1, -5], [6, 5], [-4, 0], [0, 1], [0, -2], [-4, -1], [-4, 2], [-12, -5], [-4, 0], [-12, -6], [0, 0], [-4, 3], [0, 2], [0, 3], [1, 0], [4, -5], [1, -5], [-2, -1], [-1, 2], [12, 2], [-2, 3], [0, 0], [-5, 4], [0, -1], [4, -1], [-8, -4], [2, -4], [-4, -6], [-6, 0], [-4, -1], [6, 3], [0, -1], [0, 0], [-8, -4]], 'ap': [[0, -1], [1, 0], [1, 0], [-1, 0], [0, 0], [-4, 1], [-1, 2], [-6, 0], [-4, 0], [-2, 3], [2, -4], [2, 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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [7, -1], [11, -1]], 20, 6], [[[3, 1], [7, -1], [11, -1]], 15, 8], [[[3, -1], [7, 1], [11, 1]], 16, 3], [[[3, 1], [7, -1], [11, 1]], 12, 5], [[[3, -1], [7, 1], [11, -1]], 10, 5], [[[3, -1], [7, -1], [11, 1]], 8, 3], [[[3, 1], [7, 1], [11, -1]], 15, 10], [[[3, 1], [7, 1], [11, 1]], 12, 4]], 'ALdims': [12, 15, 12, 15, 16, 10, 8, 20], 'Nk2': 10164, 'analytic_conductor': 20.289987153607346, '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': [2541, 1, [848, 1816, 2059], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 329, 'dim': 108, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 33556973, 'hecke_orbit_dims': [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, 4, 4, 4, 4, 4, 4, 10, 10], 'label': '2541.2.a', 'level': 2541, 'level_is_prime': False, 'level_is_prime_power': 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-16, 152, -64, 0, -320, -24, 524, -432, 176, -16, -272, -112, -160, 0, 0, -368, -112, 32, 1072, 284, 32, 360, -224, -48, 640, 0, -360, 64, 160, 224, -1192, -208, 48, -24, -1440, 16, 0, -120, -24, 568, 256, 0, -280, -144, 32], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 959519
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '2541.2.a.u', 'source_level': 2541, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '2541.2.a.u', 'target_level': 2541, 'twist_class_label': '2541.2.a.u', 'twist_class_level': 2541, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 959520
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '2541.2.a.u', 'source_level': 2541, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': True, 'target_label': '2541.2.a.bc', 'target_level': 2541, 'twist_class_label': '2541.2.a.u', 'twist_class_level': 2541, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 959521
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '2541.2.a.u', 'source_level': 2541, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '7623.2.a.be', 'target_level': 7623, 'twist_class_label': '2541.2.a.u', 'twist_class_level': 2541, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 959522
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 21, 'source_is_minimal': True, 'source_label': '2541.2.a.u', 'source_level': 2541, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '7623.2.a.bt', 'target_level': 7623, 'twist_class_label': '2541.2.a.u', 'twist_class_level': 2541, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2710525
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 2}
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id: 2710526
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 90071992580966893, 'p': 3}
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id: 2710527
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 90071992580966893, 'p': 5}
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id: 2710528
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 90071992580966893, 'p': 7}
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id: 2710529
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 90071992580966893, 'p': 11}
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id: 2710530
{'charpoly_factorization': [[[8, 7, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 13}
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id: 2710531
{'charpoly_factorization': [[[-17, 0, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 17}
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id: 2710532
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 90071992580966893, 'p': 19}
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id: 2710533
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 90071992580966893, 'p': 23}
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id: 2710534
{'charpoly_factorization': [[[-38, 1, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 29}
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id: 2710535
{'charpoly_factorization': [[[-68, 0, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 31}
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id: 2710536
{'charpoly_factorization': [[[-26, -7, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 37}
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id: 2710537
{'charpoly_factorization': [[[26, -11, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 41}
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id: 2710538
{'charpoly_factorization': [[[-38, 1, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 43}
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id: 2710539
{'charpoly_factorization': [[[26, -11, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 47}
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id: 2710540
{'charpoly_factorization': [[[-100, 5, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 53}
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id: 2710541
{'charpoly_factorization': [[[106, 21, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 59}
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id: 2710542
{'charpoly_factorization': [[[-152, -2, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 61}
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id: 2710543
{'charpoly_factorization': [[[-104, 3, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 67}
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id: 2710544
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 71}
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id: 2710545
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 73}
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id: 2710546
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 79}
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id: 2710547
{'charpoly_factorization': [[[-104, 3, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 83}
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id: 2710548
{'charpoly_factorization': [[[-59, 6, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 89}
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id: 2710549
{'charpoly_factorization': [[[18, -15, 1], 1]], 'hecke_orbit_code': 90071992580966893, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '2541.2.a.u', 'level': 2541, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 248991000
{'hecke_orbit_code': 90071992580966893, 'n': 1, 'trace_an': 2}
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id: 248991001
{'hecke_orbit_code': 90071992580966893, 'n': 2, 'trace_an': -1}
-
id: 248991002
{'hecke_orbit_code': 90071992580966893, 'n': 3, 'trace_an': 2}
-
id: 248991003
{'hecke_orbit_code': 90071992580966893, 'n': 4, 'trace_an': 5}
-
id: 248991004
{'hecke_orbit_code': 90071992580966893, 'n': 5, 'trace_an': 2}
-
id: 248991005
{'hecke_orbit_code': 90071992580966893, 'n': 6, 'trace_an': -1}
-
id: 248991006
{'hecke_orbit_code': 90071992580966893, 'n': 7, 'trace_an': -2}
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id: 248991007
{'hecke_orbit_code': 90071992580966893, 'n': 8, 'trace_an': -9}
-
id: 248991008
{'hecke_orbit_code': 90071992580966893, 'n': 9, 'trace_an': 2}
-
id: 248991009
{'hecke_orbit_code': 90071992580966893, 'n': 10, 'trace_an': -1}
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id: 248991010
{'hecke_orbit_code': 90071992580966893, 'n': 11, 'trace_an': 0}
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id: 248991011
{'hecke_orbit_code': 90071992580966893, 'n': 12, 'trace_an': 5}
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id: 248991012
{'hecke_orbit_code': 90071992580966893, 'n': 13, 'trace_an': -7}
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id: 248991013
{'hecke_orbit_code': 90071992580966893, 'n': 14, 'trace_an': 1}
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id: 248991014
{'hecke_orbit_code': 90071992580966893, 'n': 15, 'trace_an': 2}
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id: 248991015
{'hecke_orbit_code': 90071992580966893, 'n': 16, 'trace_an': 3}
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id: 248991016
{'hecke_orbit_code': 90071992580966893, 'n': 17, 'trace_an': 0}
-
id: 248991017
{'hecke_orbit_code': 90071992580966893, 'n': 18, 'trace_an': -1}
-
id: 248991018
{'hecke_orbit_code': 90071992580966893, 'n': 19, 'trace_an': -12}
-
id: 248991019
{'hecke_orbit_code': 90071992580966893, 'n': 20, 'trace_an': 5}
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id: 248991020
{'hecke_orbit_code': 90071992580966893, 'n': 21, 'trace_an': -2}
-
id: 248991021
{'hecke_orbit_code': 90071992580966893, 'n': 22, 'trace_an': 0}
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id: 248991022
{'hecke_orbit_code': 90071992580966893, 'n': 23, 'trace_an': -8}
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id: 248991023
{'hecke_orbit_code': 90071992580966893, 'n': 24, 'trace_an': -9}
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id: 248991024
{'hecke_orbit_code': 90071992580966893, 'n': 25, 'trace_an': -8}
-
id: 248991025
{'hecke_orbit_code': 90071992580966893, 'n': 26, 'trace_an': -5}
-
id: 248991026
{'hecke_orbit_code': 90071992580966893, 'n': 27, 'trace_an': 2}
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id: 248991027
{'hecke_orbit_code': 90071992580966893, 'n': 28, 'trace_an': -5}
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id: 248991028
{'hecke_orbit_code': 90071992580966893, 'n': 29, 'trace_an': -1}
-
id: 248991029
{'hecke_orbit_code': 90071992580966893, 'n': 30, 'trace_an': -1}
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id: 248991030
{'hecke_orbit_code': 90071992580966893, 'n': 31, 'trace_an': 0}
-
id: 248991031
{'hecke_orbit_code': 90071992580966893, 'n': 32, 'trace_an': -9}
-
id: 248991032
{'hecke_orbit_code': 90071992580966893, 'n': 33, 'trace_an': 0}
-
id: 248991033
{'hecke_orbit_code': 90071992580966893, 'n': 34, 'trace_an': -17}
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id: 248991034
{'hecke_orbit_code': 90071992580966893, 'n': 35, 'trace_an': -2}
-
id: 248991035
{'hecke_orbit_code': 90071992580966893, 'n': 36, 'trace_an': 5}
-
id: 248991036
{'hecke_orbit_code': 90071992580966893, 'n': 37, 'trace_an': 7}
-
id: 248991037
{'hecke_orbit_code': 90071992580966893, 'n': 38, 'trace_an': 6}
-
id: 248991038
{'hecke_orbit_code': 90071992580966893, 'n': 39, 'trace_an': -7}
-
id: 248991039
{'hecke_orbit_code': 90071992580966893, 'n': 40, 'trace_an': -9}
-
id: 248991040
{'hecke_orbit_code': 90071992580966893, 'n': 41, 'trace_an': 11}
-
id: 248991041
{'hecke_orbit_code': 90071992580966893, 'n': 42, 'trace_an': 1}
-
id: 248991042
{'hecke_orbit_code': 90071992580966893, 'n': 43, 'trace_an': -1}
-
id: 248991043
{'hecke_orbit_code': 90071992580966893, 'n': 44, 'trace_an': 0}
-
id: 248991044
{'hecke_orbit_code': 90071992580966893, 'n': 45, 'trace_an': 2}
-
id: 248991045
{'hecke_orbit_code': 90071992580966893, 'n': 46, 'trace_an': 4}
-
id: 248991046
{'hecke_orbit_code': 90071992580966893, 'n': 47, 'trace_an': 11}
-
id: 248991047
{'hecke_orbit_code': 90071992580966893, 'n': 48, 'trace_an': 3}
-
id: 248991048
{'hecke_orbit_code': 90071992580966893, 'n': 49, 'trace_an': 2}
-
id: 248991049
{'hecke_orbit_code': 90071992580966893, 'n': 50, 'trace_an': 4}
-
id: 248991050
{'hecke_orbit_code': 90071992580966893, 'n': 51, 'trace_an': 0}
-
id: 248991051
{'hecke_orbit_code': 90071992580966893, 'n': 52, 'trace_an': -9}
-
id: 248991052
{'hecke_orbit_code': 90071992580966893, 'n': 53, 'trace_an': -5}
-
id: 248991053
{'hecke_orbit_code': 90071992580966893, 'n': 54, 'trace_an': -1}
-
id: 248991054
{'hecke_orbit_code': 90071992580966893, 'n': 55, 'trace_an': 0}
-
id: 248991055
{'hecke_orbit_code': 90071992580966893, 'n': 56, 'trace_an': 9}
-
id: 248991056
{'hecke_orbit_code': 90071992580966893, 'n': 57, 'trace_an': -12}
-
id: 248991057
{'hecke_orbit_code': 90071992580966893, 'n': 58, 'trace_an': -25}
-
id: 248991058
{'hecke_orbit_code': 90071992580966893, 'n': 59, 'trace_an': -21}
-
id: 248991059
{'hecke_orbit_code': 90071992580966893, 'n': 60, 'trace_an': 5}
-
id: 248991060
{'hecke_orbit_code': 90071992580966893, 'n': 61, 'trace_an': 2}
-
id: 248991061
{'hecke_orbit_code': 90071992580966893, 'n': 62, 'trace_an': 34}
-
id: 248991062
{'hecke_orbit_code': 90071992580966893, 'n': 63, 'trace_an': -2}
-
id: 248991063
{'hecke_orbit_code': 90071992580966893, 'n': 64, 'trace_an': 7}
-
id: 248991064
{'hecke_orbit_code': 90071992580966893, 'n': 65, 'trace_an': -7}
-
id: 248991065
{'hecke_orbit_code': 90071992580966893, 'n': 66, 'trace_an': 0}
-
id: 248991066
{'hecke_orbit_code': 90071992580966893, 'n': 67, 'trace_an': -3}
-
id: 248991067
{'hecke_orbit_code': 90071992580966893, 'n': 68, 'trace_an': 17}
-
id: 248991068
{'hecke_orbit_code': 90071992580966893, 'n': 69, 'trace_an': -8}
-
id: 248991069
{'hecke_orbit_code': 90071992580966893, 'n': 70, 'trace_an': 1}
-
id: 248991070
{'hecke_orbit_code': 90071992580966893, 'n': 71, 'trace_an': -2}
-
id: 248991071
{'hecke_orbit_code': 90071992580966893, 'n': 72, 'trace_an': -9}
-
id: 248991072
{'hecke_orbit_code': 90071992580966893, 'n': 73, 'trace_an': -6}
-
id: 248991073
{'hecke_orbit_code': 90071992580966893, 'n': 74, 'trace_an': -29}
-
id: 248991074
{'hecke_orbit_code': 90071992580966893, 'n': 75, 'trace_an': -8}
-
id: 248991075
{'hecke_orbit_code': 90071992580966893, 'n': 76, 'trace_an': -30}
-
id: 248991076
{'hecke_orbit_code': 90071992580966893, 'n': 77, 'trace_an': 0}
-
id: 248991077
{'hecke_orbit_code': 90071992580966893, 'n': 78, 'trace_an': -5}
-
id: 248991078
{'hecke_orbit_code': 90071992580966893, 'n': 79, 'trace_an': 2}
-
id: 248991079
{'hecke_orbit_code': 90071992580966893, 'n': 80, 'trace_an': 3}
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