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mf_newforms • Show schema
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{'Nk2': 1088, 'analytic_conductor': 2.1719309349788265, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 4, 'char_parity': 1, 'char_values': [272, 4, [239, 69, 241], [4, 4, 1]], 'cm_discs': [], 'conrey_index': 81, 'dim': 4, 'field_disc': 2704, 'field_disc_factorization': [[2, 4], [13, 2]], 'field_poly': [9, 0, 7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [36, 12, 2, -2, 1]], [5, [2, 2, 1]], [7, [36, -12, 2, 2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022559870451984, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 3, 1, 4, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '272.2.o.g', 'level': 272, '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, 17], 'level_radical': 34, 'minimal_twist': '68.2.e.a', 'nf_label': '4.0.2704.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\beta _{1}+\\beta _{3})q^{3}+(-1+\\beta _{1})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '272.2.o', 'trace_display': [0, 2, -4, -2], 'trace_hash': 1243176058491243993, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.055', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.981', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1088, 'analytic_conductor': 2.1719309349788265, 'char_conductor': 17, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 4, 'char_parity': 1, 'char_values': [272, 4, [239, 69, 241], [4, 4, 1]], 'conrey_index': 81, 'cusp_dim': 60, 'dim': 16, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 962106229008, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4], 'label': '272.2.o', 'level': 272, '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, 17], 'level_radical': 34, 'mf_dim': 84, 'mf_new_dim': 20, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 8, 'sturm_bound': 72, 'trace_bound': 7, 'trace_display': [0, 2, -4, 2], 'traces': [16, 0, 2, 0, -4, 0, 2, 0, 0, 0, 2, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 14, 0, 0, 0, -4, 0, 0, 0, -6, 0, -12, 0, -20, 0, -12, 0, 32, 0, 0, 0, 0, 0, 24, 0, -16, 0, 0, 0, 46, 0, 0, 0, -12, 0, 4, 0, 0, 0, -20, 0, -62, 0, -20, 0, -32, 0, 44, 0, 30, 0, -24, 0, -50, 0, 0, 0, -18, 0, -12, 0, 0, 0, -16, 0, 0, 0, -4, 0, -24, 0, 0, 0, 28, 0, 12, 0, 2, 0, -4, 0, 24, 0, -28, 0, -30, 0, 20, 0, 0, 0, 36, 0, 68, 0, 0, 0, -26, 0, 0, 0, 36, 0, 16, 0, 0, 0, -28, 0, 58, 0, 20, 0, 40, 0, 52, 0, -10, 0, -8, 0, 56, 0, 0, 0, 58, 0, 0, 0, 0, 0, 4, 0, 0, 0, 16, 0, 40, 0, 0, 0, -6, 0, -12, 0, 6, 0, 8, 0, -92, 0, -8, 0, 90, 0, 36, 0, 0, 0, -44, 0, -140, 0, 0, 0, 70, 0, 0, 0, -120, 0, -8, 0, 0, 0, -24, 0, -94, 0, 16, 0, 4, 0, -40, 0, 54, 0, 36, 0, -98, 0, 0, 0, -84, 0, 12, 0, 0, 0, -4, 0, 0, 0, 92, 0, -94, 0, 0, 0, 32, 0, -20, 0, -32, 0, -36, 0, 88, 0, 24, 0, -110, 0, -56, 0, 0, 0, -92, 0, 168, 0, 0, 0, -120, 0, 0, 0, 60, 0, 36, 0, 0, 0, 56, 0, 168, 0, -20, 0, 56, 0, -136, 0, -62, 0, -24, 0, 158, 0, 0, 0, 66, 0, 56, 0, 0, 0, -24, 0, 0, 0, -24, 0, 68, 0, 0, 0, 32, 0, 60, 0, 80, 0, -24, 0, -120, 0, 16, 0, 22, 0, -32, 0, 0, 0, 48, 0, -180, 0, 0, 0, 8, 0, 0, 0, -92, 0, -40, 0, 0, 0, 0, 0, -56, 0, -48, 0, -20, 0, 28, 0, -12, 0, -28, 0, -134, 0, 0, 0, -88, 0, -16, 0, 0, 0, 4, 0, 0, 0, -88, 0, -102, 0, 0, 0, -30, 0, 28, 0, -48, 0, 124, 0, 128, 0, -20, 0, -78, 0, 60, 0, 0, 0, 76, 0, 188, 0, 0, 0, -78, 0, 0, 0, 196, 0, -76, 0, 0, 0, -24, 0, 176, 0, 72, 0, 20, 0, 64, 0, -48, 0, 140, 0, 212, 0, 0, 0, 94, 0, -20, 0, 0, 0, 92, 0, 0, 0, -8, 0, 142, 0, 0, 0, -52, 0, -28, 0, 70, 0, 88, 0, -64, 0, 36, 0, 44, 0, 4, 0, 0, 0, -132, 0, -176, 0, 0, 0, 44, 0, 0, 0, 24, 0, 36, 0, 0, 0, 136, 0, -172, 0, 84, 0, -156, 0, -208, 0, 50, 0, 12, 0, -192, 0, 0, 0, -94, 0, 20, 0, 0, 0, -68, 0, 0, 0, 76, 0, -82, 0, 0, 0, -30, 0, -20, 0, -34, 0, -88, 0, 164, 0, 128, 0, -104, 0, -72, 0, 0, 0, -136, 0, 280, 0, 0, 0, -82, 0, 0, 0, 164, 0, -36, 0, 0, 0, 116, 0, 62, 0, -92, 0, 68, 0, -184, 0, -94, 0, -40, 0, 164, 0, 0, 0, 84, 0, -4, 0, 0, 0, -44, 0, 0, 0, -192, 0, 190, 0, 0, 0, -114, 0, -72, 0, -26, 0, -60, 0, -108, 0, -52, 0, 120, 0, -52, 0, 0, 0, 196, 0, -356, 0, 0, 0, 140, 0, 0, 0, -264, 0, -16, 0, 0, 0, -72, 0, -190, 0, -92, 0, 16, 0, 224, 0, 36, 0, -12, 0, -158, 0, 0, 0, -88, 0, -24, 0, 0, 0, 104, 0, 0, 0, -140, 0, -220, 0, 0, 0, 2, 0, 20, 0, -102, 0, 72, 0, 200, 0, -28, 0, -96, 0, 64, 0, 0, 0, 172, 0, 240, 0, 0, 0, -88, 0, 0, 0, 92, 0, 68, 0, 0, 0, -36, 0, 236, 0, 104, 0, 124, 0, 148, 0, -118, 0, -92, 0, 220, 0, 0, 0, 58, 0, -100, 0, 0, 0, 44, 0, 0, 0, 204, 0, 108, 0, 0, 0, -8, 0, 0, 0, 70, 0, 60, 0, -32, 0, 88, 0, 134, 0, 64, 0, 0, 0, -80, 0, -128, 0, 0, 0, 32, 0, 0, 0, -140, 0, -16, 0, 0, 0, -8, 0, -118, 0, 120, 0, -268, 0, -132, 0, -42, 0, 64, 0, -148, 0, 0, 0, 24, 0, -60, 0, 0, 0, 52, 0, 0, 0, 36, 0, -84, 0, 0, 0, -50, 0, -140, 0, -20, 0, -68, 0, 72, 0, 40, 0, -2, 0, -196, 0, 0, 0, -116, 0, 192, 0, 0, 0, -48, 0, 0, 0, 212, 0, 12, 0, 0, 0, 20, 0, 182, 0, -104, 0, 20, 0, -56, 0, 0, 0, -8, 0, 70, 0, 0, 0, 198, 0, 144, 0, 0, 0, -92, 0, 0, 0, 64, 0, 218, 0, 0, 0, 40, 0, 76, 0, -18, 0, -204, 0, -44, 0, -20, 0, 76, 0, -72, 0, 0, 0, 28, 0, -104, 0, 0, 0, 210, 0, 0, 0, 16, 0, 120, 0, 0, 0, -28, 0, -316, 0, -184, 0, -184, 0, 232, 0, 210, 0, -68, 0, -178, 0, 0, 0, -156, 0, 40, 0, 0, 0, 72, 0, 0, 0, -72, 0, -94, 0, 0, 0, 34, 0, 68, 0, -4, 0, 76, 0, 48, 0, -192, 0, -168, 0, 156, 0, 0, 0, 176, 0, 236, 0, 0, 0, -12, 0, 0, 0, 20, 0, -8, 0, 0, 0, -208, 0, 30, 0, 108, 0, 252, 0, 252, 0, 88, 0, 132, 0, 104, 0, 0, 0, 86, 0, -56, 0, 0, 0, 148, 0, 0, 0, -116, 0, 80, 0, 0, 0, 0, 0, -80, 0, -74, 0, 176, 0, -176, 0, 44, 0, 142, 0, 180, 0, 0, 0, -104, 0, -440, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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-
id: 45919277
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 81, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022559870451984, 'target_is_minimal': False, 'target_label': '272.2.o.g.81.2', 'target_level': 272, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45919278
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1441, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90074054165268880, 'target_is_minimal': False, 'target_label': '2448.2.be.u.1441.1', 'target_level': 2448, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45919279
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 13, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461444, 'target_is_minimal': True, 'target_label': '68.2.e.a.13.1', 'target_level': 68, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45919280
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 897, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85569355026269248, 'target_is_minimal': False, 'target_label': '1088.2.o.t.897.2', 'target_level': 1088, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45919281
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 897, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065755398898752, 'target_is_minimal': False, 'target_label': '1088.2.o.s.897.1', 'target_level': 1088, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45919282
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 217, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737804388, 'target_is_minimal': False, 'target_label': '612.2.k.e.217.2', 'target_level': 612, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45919283
{'conductor': 17, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 189151184383119888, 'target_is_minimal': False, 'target_label': '4624.2.a.bq.1.4', 'target_level': 4624, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '17.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45919284
{'conductor': 17, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 225, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022559870451984, 'target_is_minimal': False, 'target_label': '272.2.o.g.225.2', 'target_level': 272, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '17.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 45919285
{'conductor': 17, 'degree': 4, 'order': 8, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383119888, 'target_is_minimal': False, 'target_label': '4624.2.a.bq.1.1', 'target_level': 4624, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '17.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 45919286
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504424294647460, 'target_is_minimal': False, 'target_label': '1700.2.m.b.149.2', 'target_level': 1700, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
-
id: 45919287
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667276964, 'target_is_minimal': False, 'target_label': '1700.2.m.a.149.1', 'target_level': 1700, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
-
id: 45919288
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1101, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008161360971428, 'target_is_minimal': False, 'target_label': '1700.2.o.c.1101.2', 'target_level': 1700, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
-
id: 45919289
{'conductor': 51, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1585, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90074054165268880, 'target_is_minimal': False, 'target_label': '2448.2.be.u.1585.1', 'target_level': 2448, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '51.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 45919290
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1001, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879579374724, 'target_is_minimal': False, 'target_label': '1156.2.h.e.1001.1', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.3', 'twisting_conrey_index': 3, 'weight': 2}
-
id: 45919291
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 977, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879579374724, 'target_is_minimal': False, 'target_label': '1156.2.h.e.977.1', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.7', 'twisting_conrey_index': 7, 'weight': 2}
-
id: 45919292
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 757, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014879579374724, 'target_is_minimal': False, 'target_label': '1156.2.h.e.757.4', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 45919293
{'conductor': 68, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525197425149060, 'target_is_minimal': False, 'target_label': '1156.2.a.h.1.4', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.15', 'twisting_conrey_index': 15, 'weight': 2}
-
id: 45919294
{'conductor': 68, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425149060, 'target_is_minimal': False, 'target_label': '1156.2.a.h.1.1', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.19', 'twisting_conrey_index': 19, 'weight': 2}
-
id: 45919295
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 757, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879579374724, 'target_is_minimal': False, 'target_label': '1156.2.h.e.757.1', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.23', 'twisting_conrey_index': 23, 'weight': 2}
-
id: 45919296
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 977, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014879579374724, 'target_is_minimal': False, 'target_label': '1156.2.h.e.977.4', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.27', 'twisting_conrey_index': 27, 'weight': 2}
-
id: 45919297
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1001, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014879579374724, 'target_is_minimal': False, 'target_label': '1156.2.h.e.1001.4', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.31', 'twisting_conrey_index': 31, 'weight': 2}
-
id: 45919298
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 733, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014879579374724, 'target_is_minimal': False, 'target_label': '1156.2.h.e.733.4', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.39', 'twisting_conrey_index': 39, 'weight': 2}
-
id: 45919299
{'conductor': 68, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 577, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68753032324, 'target_is_minimal': False, 'target_label': '1156.2.b.a.577.1', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.43', 'twisting_conrey_index': 43, 'weight': 2}
-
id: 45919300
{'conductor': 68, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 905, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166203524, 'target_is_minimal': False, 'target_label': '1156.2.e.c.905.2', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.47', 'twisting_conrey_index': 47, 'weight': 2}
-
id: 45919301
{'conductor': 68, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 21, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461444, 'target_is_minimal': True, 'target_label': '68.2.e.a.21.1', 'target_level': 68, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.55', 'twisting_conrey_index': 55, 'weight': 2}
-
id: 45919302
{'conductor': 68, 'degree': 4, 'order': 8, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 577, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 68753032324, 'target_is_minimal': False, 'target_label': '1156.2.b.a.577.4', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.59', 'twisting_conrey_index': 59, 'weight': 2}
-
id: 45919303
{'conductor': 68, 'degree': 8, 'order': 16, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 733, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014879579374724, 'target_is_minimal': False, 'target_label': '1156.2.h.e.733.1', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.63', 'twisting_conrey_index': 63, 'weight': 2}
-
id: 45919304
{'conductor': 68, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 829, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007474166203524, 'target_is_minimal': False, 'target_label': '1156.2.e.c.829.2', 'target_level': 1156, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '68.67', 'twisting_conrey_index': 67, 'weight': 2}
-
id: 45919305
{'conductor': 136, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065755398898752, 'target_is_minimal': False, 'target_label': '1088.2.o.s.769.1', 'target_level': 1088, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '136.21', 'twisting_conrey_index': 21, 'weight': 2}
-
id: 45919306
{'conductor': 136, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 769, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 85569355026269248, 'target_is_minimal': False, 'target_label': '1088.2.o.t.769.2', 'target_level': 1088, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '136.123', 'twisting_conrey_index': 123, 'weight': 2}
-
id: 45919307
{'conductor': 204, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 361, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015085737804388, 'target_is_minimal': False, 'target_label': '612.2.k.e.361.2', 'target_level': 612, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '204.191', 'twisting_conrey_index': 191, 'weight': 2}
-
id: 45919308
{'conductor': 340, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1449, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667276964, 'target_is_minimal': False, 'target_label': '1700.2.m.a.1449.1', 'target_level': 1700, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '340.123', 'twisting_conrey_index': 123, 'weight': 2}
-
id: 45919309
{'conductor': 340, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 701, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008161360971428, 'target_is_minimal': False, 'target_label': '1700.2.o.c.701.2', 'target_level': 1700, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '340.259', 'twisting_conrey_index': 259, 'weight': 2}
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id: 45919310
{'conductor': 340, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 27022559870451984, 'source_is_minimal': False, 'source_label': '272.2.o.g.81.2', 'source_level': 272, 'target_conrey_index': 1449, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504424294647460, 'target_is_minimal': False, 'target_label': '1700.2.m.b.1449.2', 'target_level': 1700, 'twist_class_label': '68.2.e.a.13.1', 'twist_class_level': 68, 'twisting_char_label': '340.327', 'twisting_conrey_index': 327, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 619925
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27022559870451984, 'p': 2}
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id: 619926
{'charpoly_factorization': [[[36, 12, 2, -2, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 3}
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id: 619927
{'charpoly_factorization': [[[2, 2, 1], 2]], 'hecke_orbit_code': 27022559870451984, 'p': 5}
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id: 619928
{'charpoly_factorization': [[[36, -12, 2, 2, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 7}
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id: 619929
{'charpoly_factorization': [[[4, -12, 18, 6, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 11}
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id: 619930
{'charpoly_factorization': [[[-12, 2, 1], 2]], 'hecke_orbit_code': 27022559870451984, 'p': 13}
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id: 619931
{'charpoly_factorization': [[[289, 0, -18, 0, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 17}
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id: 619932
{'charpoly_factorization': [[[16, 0, 44, 0, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 19}
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id: 619933
{'charpoly_factorization': [[[36, -60, 50, -10, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 23}
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id: 619934
{'charpoly_factorization': [[[324, 144, 32, -8, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 29}
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id: 619935
{'charpoly_factorization': [[[36, 60, 50, 10, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 31}
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id: 619936
{'charpoly_factorization': [[[18, -6, 1], 2]], 'hecke_orbit_code': 27022559870451984, 'p': 37}
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id: 619937
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 27022559870451984, 'p': 41}
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id: 619938
{'charpoly_factorization': [[[1296, 0, 124, 0, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 43}
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id: 619939
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 27022559870451984, 'p': 47}
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id: 619940
{'charpoly_factorization': [[[2304, 0, 112, 0, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 53}
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id: 619941
{'charpoly_factorization': [[[144, 0, 76, 0, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 59}
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id: 619942
{'charpoly_factorization': [[[10404, 408, 8, -4, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 61}
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id: 619943
{'charpoly_factorization': [[[-48, 4, 1], 2]], 'hecke_orbit_code': 27022559870451984, 'p': 67}
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id: 619944
{'charpoly_factorization': [[[2116, 460, 50, -10, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 71}
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id: 619945
{'charpoly_factorization': [[[98, 14, 1], 2]], 'hecke_orbit_code': 27022559870451984, 'p': 73}
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id: 619946
{'charpoly_factorization': [[[4, -12, 18, 6, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 79}
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id: 619947
{'charpoly_factorization': [[[4624, 0, 332, 0, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 83}
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id: 619948
{'charpoly_factorization': [[[-108, 6, 1], 2]], 'hecke_orbit_code': 27022559870451984, 'p': 89}
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id: 619949
{'charpoly_factorization': [[[36, 96, 128, 16, 1], 1]], 'hecke_orbit_code': 27022559870451984, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 15, 'hecke_orbit': 7, 'label': '272.2.o.g', 'level': 272, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47627809
{'hecke_orbit_code': 27022559870451984, 'n': 1, 'trace_an': 4}
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id: 47627810
{'hecke_orbit_code': 27022559870451984, 'n': 2, 'trace_an': 0}
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id: 47627811
{'hecke_orbit_code': 27022559870451984, 'n': 3, 'trace_an': 2}
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id: 47627812
{'hecke_orbit_code': 27022559870451984, 'n': 4, 'trace_an': 0}
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id: 47627813
{'hecke_orbit_code': 27022559870451984, 'n': 5, 'trace_an': -4}
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id: 47627814
{'hecke_orbit_code': 27022559870451984, 'n': 6, 'trace_an': 0}
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id: 47627815
{'hecke_orbit_code': 27022559870451984, 'n': 7, 'trace_an': -2}
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id: 47627816
{'hecke_orbit_code': 27022559870451984, 'n': 8, 'trace_an': 0}
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id: 47627817
{'hecke_orbit_code': 27022559870451984, 'n': 9, 'trace_an': 0}
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id: 47627818
{'hecke_orbit_code': 27022559870451984, 'n': 10, 'trace_an': 0}
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id: 47627819
{'hecke_orbit_code': 27022559870451984, 'n': 11, 'trace_an': -6}
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id: 47627820
{'hecke_orbit_code': 27022559870451984, 'n': 12, 'trace_an': 0}
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id: 47627821
{'hecke_orbit_code': 27022559870451984, 'n': 13, 'trace_an': -4}
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id: 47627822
{'hecke_orbit_code': 27022559870451984, 'n': 14, 'trace_an': 0}
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id: 47627823
{'hecke_orbit_code': 27022559870451984, 'n': 15, 'trace_an': 0}
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id: 47627824
{'hecke_orbit_code': 27022559870451984, 'n': 16, 'trace_an': 0}
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id: 47627825
{'hecke_orbit_code': 27022559870451984, 'n': 17, 'trace_an': 0}
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id: 47627826
{'hecke_orbit_code': 27022559870451984, 'n': 18, 'trace_an': 0}
-
id: 47627827
{'hecke_orbit_code': 27022559870451984, 'n': 19, 'trace_an': 0}
-
id: 47627828
{'hecke_orbit_code': 27022559870451984, 'n': 20, 'trace_an': 0}
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id: 47627829
{'hecke_orbit_code': 27022559870451984, 'n': 21, 'trace_an': -28}
-
id: 47627830
{'hecke_orbit_code': 27022559870451984, 'n': 22, 'trace_an': 0}
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id: 47627831
{'hecke_orbit_code': 27022559870451984, 'n': 23, 'trace_an': 10}
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id: 47628041
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id: 47628042
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id: 47628043
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id: 47628044
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id: 47628045
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id: 47628046
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id: 47628047
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id: 47628048
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id: 47628049
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id: 47628050
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id: 47628051
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id: 47628052
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id: 47628053
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id: 47628054
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id: 47628055
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id: 47628056
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id: 47628057
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id: 47628058
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id: 47628059
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id: 47628060
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id: 47628061
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id: 47628062
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id: 47628063
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id: 47628064
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id: 47628065
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id: 47628066
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