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{'Nk2': 15288, 'analytic_conductor': 30.518823652533364, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [7, -1], [13, 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': [3822, 1, [2549, 3433, 1471], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 28, 'field_disc_factorization': [[2, 2], [7, 1]], 'field_poly': [-7, 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': [[5, [-6, -2, 1]], [11, [-3, 4, 1]], [17, [9, -8, 1]], [29, [-27, 2, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364155118, 'hecke_ring_generator_nbound': 5, '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': False, 'label': '3822.2.a.bi', 'level': 3822, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.i.j', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-q^{3}+q^{4}+(1+\\beta )q^{5}+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': '3822.2.a', 'trace_display': [-2, -2, 2, 0], 'trace_hash': 1004363377169995383, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.062', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.989', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.363', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.439', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.778', 'prec': 17}, {'__RealLiteral__': 0, 'data': '61.470', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, 'traces': [2, -2, -2, 2, 2, 2, 0, -2, 2, -2, -4, -2, -2, 0, -2, 2, 8, -2, -10, 2, 0, 4, -10, 2, 6, 2, -2, 0, -2, 2, 4, -2, 4, -8, 0, 2, 6, 10, 2, -2, 10, 0, 0, -4, 2, 10, -6, -2, 0, -6, -8, -2, -6, 2, 10, 0, 10, 2, 0, -2, 8, -4, 0, 2, -2, -4, -6, 8, 10, 0, 22, -2, 22, -6, -6, -10, 0, -2, -20, 2, 2, -10, 16, 0, 22, 0, 2, 4, -18, -2, 0, -10, -4, 6, -10, 2, 14, 0, -4, 6, 0, 8, 0, 2, 0, 6, -24, -2, -8, -10, -6, 0, 4, -10, 4, -2, -2, 0, 0, 2, 0, -8, -10, 4, 24, 0, 6, -2, 0, 2, -6, 4, 0, 6, -2, -8, -2, -10, 18, 0, 6, -22, 4, 2, 26, -22, 0, 6, -30, 6, 28, 10, 8, 0, -24, 2, 0, 20, 6, -2, 0, -2, 26, 10, -10, -16, -18, 0, 2, -22, -10, 0, 34, -2, 0, -4, 0, 18, -12, 2, -24, 0, -8, 10, 20, 4, -2, -6, 0, 10, 0, -2, 22, -14, 2, 0, -6, 4, 18, -6, 6, 0, 0, -8, -4, 0, -10, -2, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 3, 3], [[[2, 1], [3, 1], [7, -1], [13, -1]], 3, 3], [[[2, 1], [3, -1], [7, 1], [13, 1]], 5, 2], [[[2, 1], [3, 1], [7, 1], [13, 1]], 4, 3], [[[2, -1], [3, 1], [7, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, -1], [13, -1]], 6, 6], [[[2, 1], [3, -1], [7, -1], [13, -1]], 6, 5], [[[2, -1], [3, -1], [7, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [7, 1], [13, -1]], 4, 2], [[[2, 1], [3, -1], [7, -1], [13, 1]], 6, 4], [[[2, 1], [3, 1], [7, -1], [13, 1]], 6, 5], [[[2, -1], [3, -1], [7, -1], [13, 1]], 6, 4], [[[2, -1], [3, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [3, -1], [7, 1], [13, 1]], 4, 3], [[[2, 1], [3, 1], [7, 1], [13, -1]], 7, 2], [[[2, -1], [3, 1], [7, 1], [13, 1]], 5, 2]], 'ALdims': [4, 7, 6, 3, 5, 4, 6, 6, 5, 4, 6, 6, 4, 7, 6, 3], 'Nk2': 15288, 'analytic_conductor': 30.518823652533364, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 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232, -144, -96, 292, -208, 0, 0, -32, -256, 16, -144, -124, -32, 0, 4, -96, 72, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1155103
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '3822.2.a.bi', 'source_level': 3822, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '546.2.i.j', 'target_level': 546, 'twist_class_label': '546.2.i.j', 'twist_class_level': 546, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1155104
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '3822.2.a.bi', 'source_level': 3822, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1638.2.j.k', 'target_level': 1638, 'twist_class_label': '546.2.i.j', 'twist_class_level': 546, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1155105
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '3822.2.a.bi', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '3822.2.a.bi', 'target_level': 3822, 'twist_class_label': '546.2.i.j', 'twist_class_level': 546, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1155106
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 35, 'source_is_minimal': False, 'source_label': '3822.2.a.bi', 'source_level': 3822, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '3822.2.a.bk', 'target_level': 3822, 'twist_class_label': '546.2.i.j', 'twist_class_level': 546, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3378850
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 153122387364155118, 'p': 2}
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id: 3378851
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 153122387364155118, 'p': 3}
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id: 3378852
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 5}
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id: 3378853
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 153122387364155118, 'p': 7}
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id: 3378854
{'charpoly_factorization': [[[-3, 4, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 11}
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id: 3378855
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 153122387364155118, 'p': 13}
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id: 3378856
{'charpoly_factorization': [[[9, -8, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 17}
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id: 3378857
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 153122387364155118, 'p': 19}
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id: 3378858
{'charpoly_factorization': [[[18, 10, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 23}
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id: 3378859
{'charpoly_factorization': [[[-27, 2, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 29}
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id: 3378860
{'charpoly_factorization': [[[-24, -4, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 31}
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id: 3378861
{'charpoly_factorization': [[[2, -6, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 37}
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id: 3378862
{'charpoly_factorization': [[[18, -10, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 41}
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id: 3378863
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 43}
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id: 3378864
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 153122387364155118, 'p': 47}
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id: 3378865
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 153122387364155118, 'p': 53}
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id: 3378866
{'charpoly_factorization': [[[-63, 0, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 59}
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id: 3378867
{'charpoly_factorization': [[[-47, -8, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 61}
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id: 3378868
{'charpoly_factorization': [[[-103, 6, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 67}
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id: 3378869
{'charpoly_factorization': [[[93, -22, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 71}
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id: 3378870
{'charpoly_factorization': [[[114, -22, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 73}
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id: 3378871
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 153122387364155118, 'p': 79}
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id: 3378872
{'charpoly_factorization': [[[36, -16, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 83}
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id: 3378873
{'charpoly_factorization': [[[18, 18, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 89}
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id: 3378874
{'charpoly_factorization': [[[-14, -14, 1], 1]], 'hecke_orbit_code': 153122387364155118, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '3822.2.a.bi', 'level': 3822, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 269364000
{'hecke_orbit_code': 153122387364155118, 'n': 1, 'trace_an': 2}
-
id: 269364001
{'hecke_orbit_code': 153122387364155118, 'n': 2, 'trace_an': -2}
-
id: 269364002
{'hecke_orbit_code': 153122387364155118, 'n': 3, 'trace_an': -2}
-
id: 269364003
{'hecke_orbit_code': 153122387364155118, 'n': 4, 'trace_an': 2}
-
id: 269364004
{'hecke_orbit_code': 153122387364155118, 'n': 5, 'trace_an': 2}
-
id: 269364005
{'hecke_orbit_code': 153122387364155118, 'n': 6, 'trace_an': 2}
-
id: 269364006
{'hecke_orbit_code': 153122387364155118, 'n': 7, 'trace_an': 0}
-
id: 269364007
{'hecke_orbit_code': 153122387364155118, 'n': 8, 'trace_an': -2}
-
id: 269364008
{'hecke_orbit_code': 153122387364155118, 'n': 9, 'trace_an': 2}
-
id: 269364009
{'hecke_orbit_code': 153122387364155118, 'n': 10, 'trace_an': -2}
-
id: 269364010
{'hecke_orbit_code': 153122387364155118, 'n': 11, 'trace_an': -4}
-
id: 269364011
{'hecke_orbit_code': 153122387364155118, 'n': 12, 'trace_an': -2}
-
id: 269364012
{'hecke_orbit_code': 153122387364155118, 'n': 13, 'trace_an': -2}
-
id: 269364013
{'hecke_orbit_code': 153122387364155118, 'n': 14, 'trace_an': 0}
-
id: 269364014
{'hecke_orbit_code': 153122387364155118, 'n': 15, 'trace_an': -2}
-
id: 269364015
{'hecke_orbit_code': 153122387364155118, 'n': 16, 'trace_an': 2}
-
id: 269364016
{'hecke_orbit_code': 153122387364155118, 'n': 17, 'trace_an': 8}
-
id: 269364017
{'hecke_orbit_code': 153122387364155118, 'n': 18, 'trace_an': -2}
-
id: 269364018
{'hecke_orbit_code': 153122387364155118, 'n': 19, 'trace_an': -10}
-
id: 269364019
{'hecke_orbit_code': 153122387364155118, 'n': 20, 'trace_an': 2}
-
id: 269364020
{'hecke_orbit_code': 153122387364155118, 'n': 21, 'trace_an': 0}
-
id: 269364021
{'hecke_orbit_code': 153122387364155118, 'n': 22, 'trace_an': 4}
-
id: 269364022
{'hecke_orbit_code': 153122387364155118, 'n': 23, 'trace_an': -10}
-
id: 269364023
{'hecke_orbit_code': 153122387364155118, 'n': 24, 'trace_an': 2}
-
id: 269364024
{'hecke_orbit_code': 153122387364155118, 'n': 25, 'trace_an': 6}
-
id: 269364025
{'hecke_orbit_code': 153122387364155118, 'n': 26, 'trace_an': 2}
-
id: 269364026
{'hecke_orbit_code': 153122387364155118, 'n': 27, 'trace_an': -2}
-
id: 269364027
{'hecke_orbit_code': 153122387364155118, 'n': 28, 'trace_an': 0}
-
id: 269364028
{'hecke_orbit_code': 153122387364155118, 'n': 29, 'trace_an': -2}
-
id: 269364029
{'hecke_orbit_code': 153122387364155118, 'n': 30, 'trace_an': 2}
-
id: 269364030
{'hecke_orbit_code': 153122387364155118, 'n': 31, 'trace_an': 4}
-
id: 269364031
{'hecke_orbit_code': 153122387364155118, 'n': 32, 'trace_an': -2}
-
id: 269364032
{'hecke_orbit_code': 153122387364155118, 'n': 33, 'trace_an': 4}
-
id: 269364033
{'hecke_orbit_code': 153122387364155118, 'n': 34, 'trace_an': -8}
-
id: 269364034
{'hecke_orbit_code': 153122387364155118, 'n': 35, 'trace_an': 0}
-
id: 269364035
{'hecke_orbit_code': 153122387364155118, 'n': 36, 'trace_an': 2}
-
id: 269364036
{'hecke_orbit_code': 153122387364155118, 'n': 37, 'trace_an': 6}
-
id: 269364037
{'hecke_orbit_code': 153122387364155118, 'n': 38, 'trace_an': 10}
-
id: 269364038
{'hecke_orbit_code': 153122387364155118, 'n': 39, 'trace_an': 2}
-
id: 269364039
{'hecke_orbit_code': 153122387364155118, 'n': 40, 'trace_an': -2}
-
id: 269364040
{'hecke_orbit_code': 153122387364155118, 'n': 41, 'trace_an': 10}
-
id: 269364041
{'hecke_orbit_code': 153122387364155118, 'n': 42, 'trace_an': 0}
-
id: 269364042
{'hecke_orbit_code': 153122387364155118, 'n': 43, 'trace_an': 0}
-
id: 269364043
{'hecke_orbit_code': 153122387364155118, 'n': 44, 'trace_an': -4}
-
id: 269364044
{'hecke_orbit_code': 153122387364155118, 'n': 45, 'trace_an': 2}
-
id: 269364045
{'hecke_orbit_code': 153122387364155118, 'n': 46, 'trace_an': 10}
-
id: 269364046
{'hecke_orbit_code': 153122387364155118, 'n': 47, 'trace_an': -6}
-
id: 269364047
{'hecke_orbit_code': 153122387364155118, 'n': 48, 'trace_an': -2}
-
id: 269364048
{'hecke_orbit_code': 153122387364155118, 'n': 49, 'trace_an': 0}
-
id: 269364049
{'hecke_orbit_code': 153122387364155118, 'n': 50, 'trace_an': -6}
-
id: 269364050
{'hecke_orbit_code': 153122387364155118, 'n': 51, 'trace_an': -8}
-
id: 269364051
{'hecke_orbit_code': 153122387364155118, 'n': 52, 'trace_an': -2}
-
id: 269364052
{'hecke_orbit_code': 153122387364155118, 'n': 53, 'trace_an': -6}
-
id: 269364053
{'hecke_orbit_code': 153122387364155118, 'n': 54, 'trace_an': 2}
-
id: 269364054
{'hecke_orbit_code': 153122387364155118, 'n': 55, 'trace_an': 10}
-
id: 269364055
{'hecke_orbit_code': 153122387364155118, 'n': 56, 'trace_an': 0}
-
id: 269364056
{'hecke_orbit_code': 153122387364155118, 'n': 57, 'trace_an': 10}
-
id: 269364057
{'hecke_orbit_code': 153122387364155118, 'n': 58, 'trace_an': 2}
-
id: 269364058
{'hecke_orbit_code': 153122387364155118, 'n': 59, 'trace_an': 0}
-
id: 269364059
{'hecke_orbit_code': 153122387364155118, 'n': 60, 'trace_an': -2}
-
id: 269364060
{'hecke_orbit_code': 153122387364155118, 'n': 61, 'trace_an': 8}
-
id: 269364061
{'hecke_orbit_code': 153122387364155118, 'n': 62, 'trace_an': -4}
-
id: 269364062
{'hecke_orbit_code': 153122387364155118, 'n': 63, 'trace_an': 0}
-
id: 269364063
{'hecke_orbit_code': 153122387364155118, 'n': 64, 'trace_an': 2}
-
id: 269364064
{'hecke_orbit_code': 153122387364155118, 'n': 65, 'trace_an': -2}
-
id: 269364065
{'hecke_orbit_code': 153122387364155118, 'n': 66, 'trace_an': -4}
-
id: 269364066
{'hecke_orbit_code': 153122387364155118, 'n': 67, 'trace_an': -6}
-
id: 269364067
{'hecke_orbit_code': 153122387364155118, 'n': 68, 'trace_an': 8}
-
id: 269364068
{'hecke_orbit_code': 153122387364155118, 'n': 69, 'trace_an': 10}
-
id: 269364069
{'hecke_orbit_code': 153122387364155118, 'n': 70, 'trace_an': 0}
-
id: 269364070
{'hecke_orbit_code': 153122387364155118, 'n': 71, 'trace_an': 22}
-
id: 269364071
{'hecke_orbit_code': 153122387364155118, 'n': 72, 'trace_an': -2}
-
id: 269364072
{'hecke_orbit_code': 153122387364155118, 'n': 73, 'trace_an': 22}
-
id: 269364073
{'hecke_orbit_code': 153122387364155118, 'n': 74, 'trace_an': -6}
-
id: 269364074
{'hecke_orbit_code': 153122387364155118, 'n': 75, 'trace_an': -6}
-
id: 269364075
{'hecke_orbit_code': 153122387364155118, 'n': 76, 'trace_an': -10}
-
id: 269364076
{'hecke_orbit_code': 153122387364155118, 'n': 77, 'trace_an': 0}
-
id: 269364077
{'hecke_orbit_code': 153122387364155118, 'n': 78, 'trace_an': -2}
-
id: 269364078
{'hecke_orbit_code': 153122387364155118, 'n': 79, 'trace_an': -20}
-
id: 269364079
{'hecke_orbit_code': 153122387364155118, 'n': 80, 'trace_an': 2}
-
id: 269364080
{'hecke_orbit_code': 153122387364155118, 'n': 81, 'trace_an': 2}
-
id: 269364081
{'hecke_orbit_code': 153122387364155118, 'n': 82, 'trace_an': -10}
-
id: 269364082
{'hecke_orbit_code': 153122387364155118, 'n': 83, 'trace_an': 16}
-
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{'hecke_orbit_code': 153122387364155118, 'n': 269, 'trace_an': 18}
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id: 269364920
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id: 269364924
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id: 269364925
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id: 269364927
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id: 269364928
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id: 269364930
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id: 269364932
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id: 269364934
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id: 269364935
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id: 269364936
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id: 269364937
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id: 269364938
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id: 269364939
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id: 269364940
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id: 269364941
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id: 269364942
{'hecke_orbit_code': 153122387364155118, 'n': 943, 'trace_an': -64}
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id: 269364943
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id: 269364944
{'hecke_orbit_code': 153122387364155118, 'n': 945, 'trace_an': 0}
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id: 269364945
{'hecke_orbit_code': 153122387364155118, 'n': 946, 'trace_an': 28}
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id: 269364946
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id: 269364947
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id: 269364948
{'hecke_orbit_code': 153122387364155118, 'n': 949, 'trace_an': -22}
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id: 269364949
{'hecke_orbit_code': 153122387364155118, 'n': 950, 'trace_an': 30}
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id: 269364950
{'hecke_orbit_code': 153122387364155118, 'n': 951, 'trace_an': 16}
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id: 269364951
{'hecke_orbit_code': 153122387364155118, 'n': 952, 'trace_an': 0}
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id: 269364952
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id: 269364953
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id: 269364954
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id: 269364955
{'hecke_orbit_code': 153122387364155118, 'n': 956, 'trace_an': 6}
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id: 269364956
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id: 269364957
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id: 269364958
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id: 269364959
{'hecke_orbit_code': 153122387364155118, 'n': 960, 'trace_an': -2}
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id: 269364960
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id: 269364962
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id: 269364963
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id: 269364964
{'hecke_orbit_code': 153122387364155118, 'n': 965, 'trace_an': 64}
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id: 269364965
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id: 269364966
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id: 269364967
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id: 269364968
{'hecke_orbit_code': 153122387364155118, 'n': 969, 'trace_an': 40}
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id: 269364969
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id: 269364972
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id: 269364973
{'hecke_orbit_code': 153122387364155118, 'n': 974, 'trace_an': 32}
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id: 269364974
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id: 269364975
{'hecke_orbit_code': 153122387364155118, 'n': 976, 'trace_an': 8}
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id: 269364976
{'hecke_orbit_code': 153122387364155118, 'n': 977, 'trace_an': 72}
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id: 269364977
{'hecke_orbit_code': 153122387364155118, 'n': 978, 'trace_an': 26}
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id: 269364978
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id: 269364979
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id: 269364980
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id: 269364981
{'hecke_orbit_code': 153122387364155118, 'n': 982, 'trace_an': 20}
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id: 269364982
{'hecke_orbit_code': 153122387364155118, 'n': 983, 'trace_an': -14}
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id: 269364983
{'hecke_orbit_code': 153122387364155118, 'n': 984, 'trace_an': 10}
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id: 269364984
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id: 269364985
{'hecke_orbit_code': 153122387364155118, 'n': 986, 'trace_an': -20}
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{'hecke_orbit_code': 153122387364155118, 'n': 987, 'trace_an': 0}
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id: 269364987
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{'hecke_orbit_code': 153122387364155118, 'n': 989, 'trace_an': -28}
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id: 269364990
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id: 269364998
{'hecke_orbit_code': 153122387364155118, 'n': 999, 'trace_an': -6}
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id: 269364999
{'hecke_orbit_code': 153122387364155118, 'n': 1000, 'trace_an': -24}