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{'Nk2': 20280, 'analytic_conductor': 40.48415382478915, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [5070, 2, [1691, 4057, 1861], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 1351, 'conrey_indexes': [1351], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [11, [9, 0, 42, 0, 1]], [17, [4, 1]], [31, [3, 0, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050463536223182, 'hecke_ring_generator_nbound': 23, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5070.2.b.o', 'level': 5070, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '390.2.bb.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\zeta_{12}q^{2}-q^{3}-q^{4}+\\zeta_{12}q^{5}-\\zeta_{12}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5070.2.b', 'trace_display': [0, -4, 0, 0], 'trace_hash': 2005449596667755859, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.745', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '74.048', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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40, 32, 0], [0, 48, -14, 0], [0, 80, -1, 0], [0, 40, 20, 0], [-12, 0, 0, 26], [96, 0, 0, 0], [-58, 0, 0, 16], [-56, 0, 0, 22], [-20, 0, 0, 36], [-6, 0, 0, -29], [0, -52, 16, 0], [14, 0, 0, -16], [0, 57, -2, 0], [-40, 0, 0, -14], [0, 0, 0, 8], [0, -40, 9, 0], [0, 0, 16, 0], [10, 0, 0, -41], [0, 52, 12, 0], [0, -48, -22, 0], [-16, 0, 0, -8], [0, -72, -20, 0], [0, 26, -16, 0], [42, 0, 0, -22]], 'char_orbit_index': 2, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 63050463536223182, 'hecke_ring_character_values': [[1691, [1, 0, 0, 0]], [4057, [1, 0, 0, 0]], [1861, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 1], [1, 0, 1, 0], [0, 1, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 0, 1], [-1, 0, 2, 0], [0, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '5070.2.b.o', 'level': 5070, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 20280, 'analytic_conductor': 40.48415382478915, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [5070, 2, [1691, 4057, 1861], [2, 2, 1]], 'conrey_index': 1351, 'cusp_dim': 1036, 'dim': 100, 'eis_dim': 112, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 31], 'hecke_orbit_code': 68753036238, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8], 'label': '5070.2.b', 'level': 5070, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1148, 'mf_new_dim': 100, 'num_forms': 27, 'prim_orbit_index': 2, 'relative_dim': 100, 'sturm_bound': 2184, 'trace_bound': 22, 'trace_display': [0, 4, 0, 0], 'traces': [100, 0, 4, -100, 0, 0, 0, 0, 100, -4, 0, -4, 0, -8, 0, 100, 0, 0, 0, 0, 0, -8, 0, 0, -100, 0, 4, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1241248
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '390.2.bb.b', 'target_level': 390, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1241249
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '390.2.bb.b', 'target_level': 390, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1241250
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 45, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1170.2.bs.e', 'target_level': 1170, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1241251
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 45, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1170.2.bs.e', 'target_level': 1170, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1241252
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.y.c', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1241253
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.y.c', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 1241254
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1950.2.y.f', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1241255
{'conductor': 65, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1950.2.y.f', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 1241256
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1950.2.bc.b', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1241257
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1950.2.bc.b', 'target_level': 1950, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1241258
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '5070.2.a.y', 'target_level': 5070, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1241259
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '5070.2.a.bg', 'target_level': 5070, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1241260
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5070.2.b.o', 'target_level': 5070, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1241261
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 15, 'source_is_minimal': False, 'source_label': '5070.2.b.o', 'source_level': 5070, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '5070.2.b.o', 'target_level': 5070, 'twist_class_label': '390.2.bb.b', 'twist_class_level': 390, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3790900
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 2}
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id: 3790901
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 63050463536223182, 'p': 3}
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id: 3790902
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 5}
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id: 3790903
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 7}
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id: 3790904
{'charpoly_factorization': [[[9, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 63050463536223182, 'p': 11}
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id: 3790905
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63050463536223182, 'p': 13}
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id: 3790906
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 63050463536223182, 'p': 17}
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id: 3790907
{'charpoly_factorization': [[[16, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 63050463536223182, 'p': 19}
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id: 3790908
{'charpoly_factorization': [[[1, -4, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 23}
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id: 3790909
{'charpoly_factorization': [[[1, -4, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 29}
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id: 3790910
{'charpoly_factorization': [[[3, 0, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 31}
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id: 3790911
{'charpoly_factorization': [[[121, 0, 86, 0, 1], 1]], 'hecke_orbit_code': 63050463536223182, 'p': 37}
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id: 3790912
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 41}
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id: 3790913
{'charpoly_factorization': [[[-23, -10, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 43}
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id: 3790914
{'charpoly_factorization': [[[1369, 0, 122, 0, 1], 1]], 'hecke_orbit_code': 63050463536223182, 'p': 47}
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id: 3790915
{'charpoly_factorization': [[[-12, 12, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 53}
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id: 3790916
{'charpoly_factorization': [[[169, 0, 74, 0, 1], 1]], 'hecke_orbit_code': 63050463536223182, 'p': 59}
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id: 3790917
{'charpoly_factorization': [[[-108, 0, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 61}
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id: 3790918
{'charpoly_factorization': [[[2704, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 63050463536223182, 'p': 67}
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id: 3790919
{'charpoly_factorization': [[[10816, 0, 224, 0, 1], 1]], 'hecke_orbit_code': 63050463536223182, 'p': 71}
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id: 3790920
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 73}
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id: 3790921
{'charpoly_factorization': [[[1, 14, 1], 2]], 'hecke_orbit_code': 63050463536223182, 'p': 79}
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id: 3790922
{'charpoly_factorization': [[[1936, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 63050463536223182, 'p': 83}
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id: 3790923
{'charpoly_factorization': [[[16, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 63050463536223182, 'p': 89}
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id: 3790924
{'charpoly_factorization': [[[16, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 63050463536223182, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 15, 'label': '5070.2.b.o', 'level': 5070, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 233505000
{'hecke_orbit_code': 63050463536223182, 'n': 1, 'trace_an': 4}
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id: 233505001
{'hecke_orbit_code': 63050463536223182, 'n': 2, 'trace_an': 0}
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id: 233505002
{'hecke_orbit_code': 63050463536223182, 'n': 3, 'trace_an': -4}
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id: 233505003
{'hecke_orbit_code': 63050463536223182, 'n': 4, 'trace_an': -4}
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id: 233505004
{'hecke_orbit_code': 63050463536223182, 'n': 5, 'trace_an': 0}
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id: 233505005
{'hecke_orbit_code': 63050463536223182, 'n': 6, 'trace_an': 0}
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id: 233505006
{'hecke_orbit_code': 63050463536223182, 'n': 7, 'trace_an': 0}
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id: 233505007
{'hecke_orbit_code': 63050463536223182, 'n': 8, 'trace_an': 0}
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id: 233505008
{'hecke_orbit_code': 63050463536223182, 'n': 9, 'trace_an': 4}
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id: 233505009
{'hecke_orbit_code': 63050463536223182, 'n': 10, 'trace_an': -4}
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