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mf_newforms • Show schema
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{'Nk2': 25344, 'analytic_conductor': 50.59321472068325, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [11, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6336, 1, [4159, 4357, 3521, 1729], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, -3, 1]], [7, [-16, 2, 1]], [13, [-16, -2, 1]], [17, [2, 1]], [19, [-4, 1]], [23, [16, 9, 1]], [47, [8, 1]]], 'hecke_orbit': 73, 'hecke_orbit_code': 324259173204236480, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6336.2.a.cu', 'level': 6336, '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, 11], 'level_radical': 66, 'minimal_twist': '88.2.a.b', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{5}+(-2+2\\beta )q^{7}-q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6336.2.a', 'trace_display': [0, 0, 3, -2], 'trace_hash': 835697664194039161, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.060', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.5615528128088303, 'hecke_orbit': 73, 'hecke_orbit_code': 324259173204236480, 'label': '6336.2.a.cu.1.2', 'level': 6336, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [11, 11, 16, 13, 9, 9, 14, 17], 'Nk2': 25344, 'analytic_conductor': 50.59321472068325, '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': [6336, 1, [4159, 4357, 3521, 1729], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1105, 'dim': 100, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 13, 17, 19, 23, 47], 'hecke_orbit_code': 33560768, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4], 'label': '6336.2.a', 'level': 6336, '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, 11], 'level_radical': 66, 'mf_dim': 1200, 'mf_new_dim': 100, 'num_forms': 80, 'plus_dim': 47, 'prim_orbit_index': 1, 'relative_dim': 100, 'sturm_bound': 2304, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 264, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 68, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 88, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, -328, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, -280, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 400, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49137896
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 324259173204236480, 'target_is_minimal': False, 'target_label': '6336.2.a.cu.1.2', 'target_level': 6336, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49137897
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562001088, 'target_is_minimal': False, 'target_label': '704.2.a.m.1.2', 'target_level': 704, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49137898
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 337769972086347968, 'target_is_minimal': False, 'target_label': '6336.2.a.cx.1.2', 'target_level': 6336, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49137899
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953595440, 'target_is_minimal': False, 'target_label': '1584.2.a.t.1.1', 'target_level': 1584, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49137900
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148696, 'target_is_minimal': False, 'target_label': '792.2.a.h.1.1', 'target_level': 792, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49137901
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444112576, 'target_is_minimal': False, 'target_label': '704.2.a.p.1.1', 'target_level': 704, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49137902
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925016, 'target_is_minimal': True, 'target_label': '88.2.a.b.1.1', 'target_level': 88, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49137903
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666096, 'target_is_minimal': False, 'target_label': '176.2.a.d.1.2', 'target_level': 176, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49137904
{'conductor': 33, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 225179981402086976, 'target_is_minimal': False, 'target_label': '7744.2.a.by.1.2', 'target_level': 7744, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '33.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 49137905
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 99079329274661632, 'target_is_minimal': False, 'target_label': '2816.2.c.w.1409.2', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49137906
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554131883068160, 'target_is_minimal': False, 'target_label': '2816.2.c.p.1409.3', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49137907
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 99079329274661632, 'target_is_minimal': False, 'target_label': '2816.2.c.w.1409.3', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 49137908
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1409, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67554131883068160, 'target_is_minimal': False, 'target_label': '2816.2.c.p.1409.2', 'target_level': 2816, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 49137909
{'conductor': 88, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972566536, 'target_is_minimal': False, 'target_label': '8712.2.a.bb.1.1', 'target_level': 8712, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '88.21', 'twisting_conrey_index': 21, 'weight': 2}
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id: 49137910
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816743576, 'target_is_minimal': False, 'target_label': '2200.2.a.o.1.2', 'target_level': 2200, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '120.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 49137911
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021666517256344, 'target_is_minimal': False, 'target_label': '2200.2.b.g.1849.2', 'target_level': 2200, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '120.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 49137912
{'conductor': 120, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 184647584755749168, 'target_is_minimal': False, 'target_label': '4400.2.a.bp.1.1', 'target_level': 4400, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '120.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 49137913
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1849, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021666517256344, 'target_is_minimal': False, 'target_label': '2200.2.b.g.1849.3', 'target_level': 2200, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '120.77', 'twisting_conrey_index': 77, 'weight': 2}
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id: 49137914
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 94575660927815984, 'target_is_minimal': False, 'target_label': '4400.2.b.v.4049.3', 'target_level': 4400, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '120.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 49137915
{'conductor': 120, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 4049, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575660927815984, 'target_is_minimal': False, 'target_label': '4400.2.b.v.4049.2', 'target_level': 4400, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '120.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 49137916
{'conductor': 132, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 283726776557903424, 'target_is_minimal': False, 'target_label': '7744.2.a.cl.1.1', 'target_level': 7744, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '132.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 49137917
{'conductor': 168, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 238690780284199344, 'target_is_minimal': False, 'target_label': '8624.2.a.cb.1.1', 'target_level': 8624, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '168.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 49137918
{'conductor': 168, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189375192, 'target_is_minimal': False, 'target_label': '4312.2.a.n.1.2', 'target_level': 4312, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '168.125', 'twisting_conrey_index': 125, 'weight': 2}
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id: 49137919
{'conductor': 264, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 729, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.729.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '264.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49137920
{'conductor': 264, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 753, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.753.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '264.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 49137921
{'conductor': 264, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.81.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '264.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 49137922
{'conductor': 264, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 81, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.81.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '264.101', 'twisting_conrey_index': 101, 'weight': 2}
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id: 49137923
{'conductor': 264, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 753, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.753.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '264.125', 'twisting_conrey_index': 125, 'weight': 2}
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id: 49137924
{'conductor': 264, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561193698854800, 'target_is_minimal': False, 'target_label': '1936.2.a.r.1.2', 'target_level': 1936, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '264.131', 'twisting_conrey_index': 131, 'weight': 2}
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id: 49137925
{'conductor': 264, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 729, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.729.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '264.149', 'twisting_conrey_index': 149, 'weight': 2}
-
id: 49137926
{'conductor': 264, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72058143827297224, 'target_is_minimal': False, 'target_label': '968.2.i.q.9.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '264.173', 'twisting_conrey_index': 173, 'weight': 2}
-
id: 49137927
{'conductor': 264, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889864, 'target_is_minimal': False, 'target_label': '968.2.a.j.1.1', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '264.197', 'twisting_conrey_index': 197, 'weight': 2}
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id: 49137928
{'conductor': 264, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 324259173204236480, 'source_is_minimal': False, 'source_label': '6336.2.a.cu.1.2', 'source_level': 6336, 'target_conrey_index': 9, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 76561743454667720, 'target_is_minimal': False, 'target_label': '968.2.i.r.9.2', 'target_level': 968, 'twist_class_label': '88.2.a.b.1.1', 'twist_class_level': 88, 'twisting_char_label': '264.245', 'twisting_conrey_index': 245, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4156100
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 324259173204236480, 'p': 2}
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id: 4156101
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 324259173204236480, 'p': 3}
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id: 4156102
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 5}
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id: 4156103
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 7}
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id: 4156104
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 324259173204236480, 'p': 11}
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id: 4156105
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 13}
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id: 4156106
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 324259173204236480, 'p': 17}
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id: 4156107
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 324259173204236480, 'p': 19}
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id: 4156108
{'charpoly_factorization': [[[16, 9, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 23}
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id: 4156109
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 29}
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id: 4156110
{'charpoly_factorization': [[[8, 7, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 31}
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id: 4156111
{'charpoly_factorization': [[[26, -11, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 37}
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id: 4156112
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 41}
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id: 4156113
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 43}
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id: 4156114
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 324259173204236480, 'p': 47}
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id: 4156115
{'charpoly_factorization': [[[-52, -8, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 53}
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id: 4156116
{'charpoly_factorization': [[[-100, 5, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 59}
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id: 4156117
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 61}
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id: 4156118
{'charpoly_factorization': [[[52, 15, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 67}
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id: 4156119
{'charpoly_factorization': [[[-32, -5, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 71}
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id: 4156120
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 73}
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id: 4156121
{'charpoly_factorization': [[[32, 14, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 79}
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id: 4156122
{'charpoly_factorization': [[[8, -10, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 83}
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id: 4156123
{'charpoly_factorization': [[[-26, -7, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 89}
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id: 4156124
{'charpoly_factorization': [[[178, -27, 1], 1]], 'hecke_orbit_code': 324259173204236480, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 73, 'label': '6336.2.a.cu', 'level': 6336, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 72379039
{'hecke_orbit_code': 324259173204236480, 'n': 1, 'trace_an': 2}
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id: 72379040
{'hecke_orbit_code': 324259173204236480, 'n': 2, 'trace_an': 0}
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id: 72379041
{'hecke_orbit_code': 324259173204236480, 'n': 3, 'trace_an': 0}
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id: 72379042
{'hecke_orbit_code': 324259173204236480, 'n': 4, 'trace_an': 0}
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id: 72379043
{'hecke_orbit_code': 324259173204236480, 'n': 5, 'trace_an': 3}
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id: 72379044
{'hecke_orbit_code': 324259173204236480, 'n': 6, 'trace_an': 0}
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id: 72379045
{'hecke_orbit_code': 324259173204236480, 'n': 7, 'trace_an': -2}
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id: 72379046
{'hecke_orbit_code': 324259173204236480, 'n': 8, 'trace_an': 0}
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id: 72379047
{'hecke_orbit_code': 324259173204236480, 'n': 9, 'trace_an': 0}
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id: 72379048
{'hecke_orbit_code': 324259173204236480, 'n': 10, 'trace_an': 0}
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id: 72379049
{'hecke_orbit_code': 324259173204236480, 'n': 11, 'trace_an': -2}
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id: 72379050
{'hecke_orbit_code': 324259173204236480, 'n': 12, 'trace_an': 0}
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id: 72379051
{'hecke_orbit_code': 324259173204236480, 'n': 13, 'trace_an': 2}
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id: 72379052
{'hecke_orbit_code': 324259173204236480, 'n': 14, 'trace_an': 0}
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id: 72379053
{'hecke_orbit_code': 324259173204236480, 'n': 15, 'trace_an': 0}
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id: 72379054
{'hecke_orbit_code': 324259173204236480, 'n': 16, 'trace_an': 0}
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id: 72379055
{'hecke_orbit_code': 324259173204236480, 'n': 17, 'trace_an': -4}
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id: 72379056
{'hecke_orbit_code': 324259173204236480, 'n': 18, 'trace_an': 0}
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id: 72379057
{'hecke_orbit_code': 324259173204236480, 'n': 19, 'trace_an': 8}
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