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{'Nk2': 7296, 'analytic_conductor': 14.564713328681542, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [19, 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': [1824, 1, [799, 229, 1217, 97], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 229, 'field_disc_factorization': [[229, 1]], 'field_poly': [-1, -4, 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, [4, 2, -5, 1]], [7, [16, -12, -1, 1]], [11, [16, -12, -1, 1]], [23, [224, -60, -2, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208336672, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1824.2.a.v', 'level': 1824, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '1824.2.a.t', 'nf_label': '3.3.229.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(2+\\beta _{2})q^{5}-\\beta _{1}q^{7}+q^{9}-\\beta _{1}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1824.2.a', 'trace_display': [0, 3, 5, 1], 'trace_hash': 2271809467340404478, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 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mf_newspaces • Show schema
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{'ALdims': [4, 6, 5, 3, 5, 3, 4, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [29, 36, 31, 35, 39, 31, 36, 32], 'Nk2': 7296, 'analytic_conductor': 14.564713328681542, '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': [1824, 1, [799, 229, 1217, 97], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 305, 'dim': 36, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 23], 'hecke_orbit_code': 33556256, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '1824.2.a', 'level': 1824, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 336, 'mf_new_dim': 36, 'num_forms': 22, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 640, 'trace_bound': 7, 'trace_display': [0, 0, -8, 0], 'traces': [36, 0, 0, 0, -8, 0, 0, 0, 36, 0, 0, 0, -8, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, 24, 0, 0, 0, -8, 0, 0, 0, 20, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 48, 0, 0, 0, 36, 0, 0, 0, 32, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 8, 0, 0, 0, 32, 0, 0, 0, -40, 0, 0, 0, 24, 0, 0, 0, -8, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -40, 0, 0, 0, 24, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 88, 0, 0, 0, 16, 0, 0, 0, 56, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 72, 0, 0, 0, -32, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 44, 0, 0, 0, -24, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -56, 0, 0, 0, -120, 0, 0, 0, -48, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 16, 0, 0, 0, -136, 0, 0, 0, -64, 0, 0, 0, -88, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, -72, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, 96, 0, 0, 0, -16, 0, 0, 0, -40, 0, 0, 0, -136, 0, 0, 0, 48, 0, 0, 0, -152, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, -88, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, -88, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -192, 0, 0, 0, 24, 0, 0, 0, -104, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, 48, 0, 0, 0, -104, 0, 0, 0, 16, 0, 0, 0, 40, 0, 0, 0, 88, 0, 0, 0, -8, 0, 0, 0, 40, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, -168, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 48, 0, 0, 0, 20, 0, 0, 0, -16, 0, 0, 0, -40, 0, 0, 0, -48, 0, 0, 0, -56, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -144, 0, 0, 0, -8, 0, 0, 0, 80, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -160, 0, 0, 0, 96, 0, 0, 0, 48, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -144, 0, 0, 0, 16, 0, 0, 0, 184, 0, 0, 0, -112, 0, 0, 0, -8, 0, 0, 0, -256, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, -8, 0, 0, 0, 96, 0, 0, 0, -184, 0, 0, 0, 384, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, -216, 0, 0, 0, -32, 0, 0, 0, -88, 0, 0, 0, 136, 0, 0, 0, -64, 0, 0, 0, 152, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -16, 0, 0, 0, -96, 0, 0, 0, 120, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -200, 0, 0, 0, 8, 0, 0, 0, 152, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, 72, 0, 0, 0, 184, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 48, 0, 0, 0, 48, 0, 0, 0, 80, 0, 0, 0, 40, 0, 0, 0, 32, 0, 0, 0, -184, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, -128, 0, 0, 0, 72, 0, 0, 0, 36, 0, 0, 0, 8, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 80, 0, 0, 0, 8, 0, 0, 0, -168, 0, 0, 0, 32, 0, 0, 0, 8, 0, 0, 0, 88, 0, 0, 0, -64, 0, 0, 0, 512, 0, 0, 0, 112, 0, 0, 0, 160, 0, 0, 0, 48, 0, 0, 0, 88, 0, 0, 0, 24, 0, 0, 0, 192, 0, 0, 0, 216, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, 120, 0, 0, 0, 16, 0, 0, 0, 216, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 72, 0, 0, 0, -128, 0, 0, 0, -136, 0, 0, 0, -136, 0, 0, 0, 128, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, 72, 0, 0, 0, -8, 0, 0, 0, -296, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 240, 0, 0, 0, 16, 0, 0, 0, 8, 0, 0, 0, -48, 0, 0, 0, 208, 0, 0, 0, 80, 0, 0, 0, -472, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 88, 0, 0, 0, 32, 0, 0, 0, 240, 0, 0, 0, 24, 0, 0, 0, -112, 0, 0, 0, -92, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 408, 0, 0, 0, -40, 0, 0, 0, 176, 0, 0, 0, 288, 0, 0, 0, -80, 0, 0, 0, -40, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48370146
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 94575592208336672, 'source_is_minimal': True, 'source_label': '1824.2.a.v.1.3', 'source_level': 1824, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 94575592208336672, 'target_is_minimal': True, 'target_label': '1824.2.a.v.1.3', 'target_level': 1824, 'twist_class_label': '1824.2.a.t.1.3', 'twist_class_level': 1824, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48370147
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 94575592208336672, 'source_is_minimal': True, 'source_label': '1824.2.a.v.1.3', 'source_level': 1824, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501009248, 'target_is_minimal': False, 'target_label': '5472.2.a.bn.1.1', 'target_level': 5472, 'twist_class_label': '1824.2.a.t.1.3', 'twist_class_level': 1824, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48370148
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 94575592208336672, 'source_is_minimal': True, 'source_label': '1824.2.a.v.1.3', 'source_level': 1824, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 85568392953595680, 'target_is_minimal': True, 'target_label': '1824.2.a.t.1.3', 'target_level': 1824, 'twist_class_label': '1824.2.a.t.1.3', 'twist_class_level': 1824, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48370149
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 94575592208336672, 'source_is_minimal': True, 'source_label': '1824.2.a.v.1.3', 'source_level': 1824, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 225179981402082880, 'target_is_minimal': False, 'target_label': '3648.2.a.by.1.1', 'target_level': 3648, 'twist_class_label': '1824.2.a.t.1.3', 'twist_class_level': 1824, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48370150
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 94575592208336672, 'source_is_minimal': True, 'source_label': '1824.2.a.v.1.3', 'source_level': 1824, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 216172782147341888, 'target_is_minimal': False, 'target_label': '3648.2.a.bw.1.1', 'target_level': 3648, 'twist_class_label': '1824.2.a.t.1.3', 'twist_class_level': 1824, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48370151
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 94575592208336672, 'source_is_minimal': True, 'source_label': '1824.2.a.v.1.3', 'source_level': 1824, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873638752, 'target_is_minimal': False, 'target_label': '5472.2.a.bm.1.1', 'target_level': 5472, 'twist_class_label': '1824.2.a.t.1.3', 'twist_class_level': 1824, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2231900
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 94575592208336672, 'p': 2}
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id: 2231901
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 94575592208336672, 'p': 3}
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id: 2231902
{'charpoly_factorization': [[[4, 2, -5, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 5}
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id: 2231903
{'charpoly_factorization': [[[16, -12, -1, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 7}
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id: 2231904
{'charpoly_factorization': [[[16, -12, -1, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 11}
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id: 2231905
{'charpoly_factorization': [[[16, -4, -6, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 13}
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id: 2231906
{'charpoly_factorization': [[[4, -4, -5, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 17}
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id: 2231907
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 94575592208336672, 'p': 19}
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id: 2231908
{'charpoly_factorization': [[[224, -60, -2, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 23}
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id: 2231909
{'charpoly_factorization': [[[208, -28, -8, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 29}
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id: 2231910
{'charpoly_factorization': [[[392, -56, -8, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 31}
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id: 2231911
{'charpoly_factorization': [[[16, -4, -6, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 37}
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id: 2231912
{'charpoly_factorization': [[[16, -20, -4, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 41}
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id: 2231913
{'charpoly_factorization': [[[-16, 8, 11, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 43}
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id: 2231914
{'charpoly_factorization': [[[148, -90, -1, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 47}
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id: 2231915
{'charpoly_factorization': [[[424, -68, -10, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 53}
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id: 2231916
{'charpoly_factorization': [[[512, -128, -2, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 59}
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id: 2231917
{'charpoly_factorization': [[[196, 32, -15, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 61}
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id: 2231918
{'charpoly_factorization': [[[-32, 40, 14, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 67}
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id: 2231919
{'charpoly_factorization': [[[-512, -128, 2, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 71}
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id: 2231920
{'charpoly_factorization': [[[292, -100, 3, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 73}
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id: 2231921
{'charpoly_factorization': [[[248, -104, -8, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 79}
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id: 2231922
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 94575592208336672, 'p': 83}
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id: 2231923
{'charpoly_factorization': [[[632, -196, 2, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 89}
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id: 2231924
{'charpoly_factorization': [[[-1168, -196, 12, 1], 1]], 'hecke_orbit_code': 94575592208336672, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '1824.2.a.v', 'level': 1824, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64788937
{'hecke_orbit_code': 94575592208336672, 'n': 1, 'trace_an': 3}
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id: 64788938
{'hecke_orbit_code': 94575592208336672, 'n': 2, 'trace_an': 0}
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id: 64788939
{'hecke_orbit_code': 94575592208336672, 'n': 3, 'trace_an': 3}
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id: 64788940
{'hecke_orbit_code': 94575592208336672, 'n': 4, 'trace_an': 0}
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id: 64788941
{'hecke_orbit_code': 94575592208336672, 'n': 5, 'trace_an': 5}
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id: 64788942
{'hecke_orbit_code': 94575592208336672, 'n': 6, 'trace_an': 0}
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id: 64788943
{'hecke_orbit_code': 94575592208336672, 'n': 7, 'trace_an': 1}
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id: 64788944
{'hecke_orbit_code': 94575592208336672, 'n': 8, 'trace_an': 0}
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id: 64788945
{'hecke_orbit_code': 94575592208336672, 'n': 9, 'trace_an': 3}
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id: 64788946
{'hecke_orbit_code': 94575592208336672, 'n': 10, 'trace_an': 0}
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id: 64788947
{'hecke_orbit_code': 94575592208336672, 'n': 11, 'trace_an': 1}
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id: 64788948
{'hecke_orbit_code': 94575592208336672, 'n': 12, 'trace_an': 0}
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id: 64788949
{'hecke_orbit_code': 94575592208336672, 'n': 13, 'trace_an': 6}
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id: 64788950
{'hecke_orbit_code': 94575592208336672, 'n': 14, 'trace_an': 0}
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id: 64788951
{'hecke_orbit_code': 94575592208336672, 'n': 15, 'trace_an': 5}
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id: 64788952
{'hecke_orbit_code': 94575592208336672, 'n': 16, 'trace_an': 0}
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id: 64788953
{'hecke_orbit_code': 94575592208336672, 'n': 17, 'trace_an': 5}
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id: 64788954
{'hecke_orbit_code': 94575592208336672, 'n': 18, 'trace_an': 0}
-
id: 64788955
{'hecke_orbit_code': 94575592208336672, 'n': 19, 'trace_an': -3}
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id: 64788956
{'hecke_orbit_code': 94575592208336672, 'n': 20, 'trace_an': 0}
-
id: 64788957
{'hecke_orbit_code': 94575592208336672, 'n': 21, 'trace_an': 1}
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id: 64788958
{'hecke_orbit_code': 94575592208336672, 'n': 22, 'trace_an': 0}
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id: 64788959
{'hecke_orbit_code': 94575592208336672, 'n': 23, 'trace_an': 2}
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id: 64788960
{'hecke_orbit_code': 94575592208336672, 'n': 24, 'trace_an': 0}
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id: 64788961
{'hecke_orbit_code': 94575592208336672, 'n': 25, 'trace_an': 6}
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id: 64788962
{'hecke_orbit_code': 94575592208336672, 'n': 26, 'trace_an': 0}
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id: 64788963
{'hecke_orbit_code': 94575592208336672, 'n': 27, 'trace_an': 3}
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id: 64788964
{'hecke_orbit_code': 94575592208336672, 'n': 28, 'trace_an': 0}
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id: 64788965
{'hecke_orbit_code': 94575592208336672, 'n': 29, 'trace_an': 8}
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id: 64788966
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id: 64789194
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