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mf_newforms • Show schema
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{'Nk2': 280, 'analytic_conductor': 0.5589528141489627, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 12, 'char_parity': 1, 'char_values': [70, 12, [57, 31], [9, 2]], 'cm_discs': [], 'conrey_index': 3, 'dim': 16, 'field_disc': 1768031203886414954496, 'field_disc_factorization': [[2, 32], [3, 8], [89, 4]], 'field_poly': [2401, 0, 3038, 0, 1933, 0, 1438, 0, 852, 0, 266, 0, 61, 0, 10, 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': [], 'hecke_orbit': 1, 'hecke_orbit_code': 687228321862, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 35, 11, 1, 12, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '70.2.k.a', 'level': 70, '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': True, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '70.2.k.a', 'prim_orbit_index': 11, 'qexp_display': 'q+(-\\beta _{7}-\\beta _{15})q^{2}+(-\\beta _{4}+\\beta _{13})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '70.2.k', 'trace_display': [0, 0, -12, 8], 'trace_hash': 1072104218545443174, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.748', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1253.063', 'prec': 27}, {'__RealLiteral__': 0, 'data': '1073.186', 'prec': 27}, {'__RealLiteral__': 0, 'data': '179808.681', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.381', 'prec': 17}, 'traces': [16, 0, 0, 0, -12, 0, 8, 0, 0, -12, -12, 0, 0, 0, 16, 8, -36, -8, 0, 0, -28, -8, -4, 0, 12, 12, 0, 4, 0, 20, 24, 0, 48, 0, 8, -8, 4, 24, 0, 0, 0, 36, -8, 0, -12, -8, 12, 0, 0, -32, -16, 0, -28, 0, 0, -4, 8, -32, 0, 8, -12, 0, -36, 0, -8, 0, 32, -36, 0, -12, 16, -8, -12, 0, -48, 0, 16, 16, 0, -12, 0, -48, 0, 0, 24, 12, -24, -4, 0, 0, -16, 8, 28, 0, 20, 12, 0, 40, 0, 12, 60, 4, 24, 0, 56, -24, 20, 36, 0, 84, 0, 4, -8, 0, 72, 4, 12, 0, 0, 16, -36, 48, 40, 0, 0, -52, -88, 0, 0, 8, -36, 0, -60, 0, -56, 0, 16, -72, 0, -36, -48, -28, -36, 0, -72, 0, -52, 8, 0, -84, 0, -24, 0, 0, -104, 16, 24, 8, 0, 0, 84, 16, 56, 0, -68, 84, 0, 0, 0, 40, 36, 4, 12, 0, 28, -24, 40, 48, 0, 60, 0, -24, -32, 0, 48, 24, 72, 0, 0, -8, 0, 0, 40, 0, 0, 4, 80, -56, 0, 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 280, 'analytic_conductor': 0.5589528141489627, 'char_conductor': 35, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 12, 'char_parity': 1, 'char_values': [70, 12, [57, 31], [9, 2]], 'conrey_index': 3, 'cusp_dim': 32, 'dim': 16, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 687228321862, 'hecke_orbit_dims': [16], 'label': '70.2.k', 'level': 70, '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': True, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 64, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 11, 'relative_dim': 4, 'sturm_bound': 24, 'trace_bound': 0, 'trace_display': [0, 0, -12, 8], 'traces': [16, 0, 0, 0, -12, 0, 8, 0, 0, -12, -12, 0, 0, 0, 16, 8, -36, -8, 0, 0, -28, -8, -4, 0, 12, 12, 0, 4, 0, 20, 24, 0, 48, 0, 8, -8, 4, 24, 0, 0, 0, 36, -8, 0, -12, -8, 12, 0, 0, -32, -16, 0, -28, 0, 0, -4, 8, -32, 0, 8, -12, 0, -36, 0, -8, 0, 32, -36, 0, -12, 16, -8, -12, 0, -48, 0, 16, 16, 0, -12, 0, -48, 0, 0, 24, 12, -24, -4, 0, 0, -16, 8, 28, 0, 20, 12, 0, 40, 0, 12, 60, 4, 24, 0, 56, -24, 20, 36, 0, 84, 0, 4, -8, 0, 72, 4, 12, 0, 0, 16, -36, 48, 40, 0, 0, -52, -88, 0, 0, 8, -36, 0, -60, 0, -56, 0, 16, -72, 0, -36, -48, -28, -36, 0, -72, 0, -52, 8, 0, -84, 0, -24, 0, 0, -104, 16, 24, 8, 0, 0, 84, 16, 56, 0, -68, 84, 0, 0, 0, 40, 36, 4, 12, 0, 28, -24, 40, 48, 0, 60, 0, -24, -32, 0, 48, 24, 72, 0, 0, -8, 0, 0, 40, 0, 0, 4, 80, -56, 0, 0, 12, 0, 36, 0, -52, -132, -60, 0, 0, -40, 104, -28, -72, 0, 48, 0, -56, 80, 0, -36, -16, -36, 0, 0, 152, 16, -12, 4, 0, 0, 168, 64, 72, 0, -56, -24, 0, 28, 0, 8, -156, -48, 12, 0, 8, 88, 20, 0, 0, 72, 0, -24, -32, 0, 48, -8, -60, 0, 0, -40, 0, 48, -24, 0, 0, -4, -24, -32, 0, 4, -168, 0, 0, 0, -8, -36, -60, -132, 0, -8, -168, -20, -120, 0, -48, 0, -48, -16, 0, 24, 48, 12, 0, 0, 16, 4, -12, -28, 0, 0, 4, 56, -16, 0, -4, 24, 0, 68, 0, 28, -24, -8, 108, 0, -52, 32, -12, 84, 0, 0, 0, 40, 64, 0, 48, 40, 216, 0, 0, -24, 36, 72, 36, 0, 0, 4, 32, -8, 0, -4, 168, 0, -16, 0, 0, 12, 36, -24, 0, -88, 48, -4, -72, 0, -36, 0, 8, -40, 0, -24, 28, 12, 0, 0, -40, 28, 108, 4, 0, 0, -100, -56, 16, 0, 56, 60, 0, 8, 0, 20, 96, 36, -12, 0, 20, -144, 32, -24, 0, -12, 0, 16, -184, 0, 120, -4, -12, 0, 0, 24, 24, -24, 28, 0, 0, -16, -136, -4, 0, -4, -288, 0, 0, 0, 16, 12, -28, 24, 0, 0, 40, -40, 108, 0, -108, 0, -60, 40, 0, -72, -48, -36, 0, 0, 40, -20, -108, 20, 0, 0, -132, -80, -56, 0, 60, -72, 0, 8, 0, 48, -12, 4, 156, 0, 44, -80, -80, -72, 0, -12, 0, 56, 88, 0, -60, -24, -84, 0, 0, 16, -184, -48, -60, 0, 0, 24, 136, 0, 0, -20, -12, 0, 52, 0, -36, 144, 32, 48, 0, 52, 208, 40, 84, 0, -12, 0, 136, -32, 0, 72, 76, -36, 0, 0, 160, 76, 12, -44, 0, 0, 168, 0, -32, 0, 68, 36, 0, 16, 0, -8, 324, 4, -96, 0, -24, 56, -24, 48, 0, 0, 0, 48, 16, 0, -144, 36, -120, 0, 0, -64, 84, 48, -96, 0, 0, 8, -176, -16, 0, 12, 240, 0, -48, 0, 28, -24, 88, 60, 0, 28, -112, 64, -36, 0, -96, 0, -44, -56, 0, 12, -48, 36, 0, 0, -264, -4, -108, 16, 0, 0, -156, -24, 12, 0, -56, -12, 0, -80, 0, -40, -264, -4, 12, 0, -136, 72, -16, 60, 0, -48, 0, -56, 56, 0, -96, -76, 180, 0, 0, -64, -36, -48, 16, 0, 0, -76, 160, 68, 0, 28, 84, 0, -88, 0, 0, -72, 116, 24, 0, 88, 0, 8, 132, 0, 240, 0, 68, 16, 0, 0, -40, 24, 0, 0, 8, -88, -12, 8, 0, 0, -104, -112, -64, 0, -36, 0, 0, -64, 0, -36, 108, -44, -72, 0, 108, -56, 96, -36, 0, -72, 0, 36, -72, 0, 36, -76, -216, 0, 0, 48, 96, -132, -20, 0, 0, 128, -96, -4, 0, 72, 120, 0, -40, 0, 104, 60, -44, 24, 0, 84, -168, 4, 36, 0, 132, 0, 156, 80, 0, 96, -120, -48, 0, 0, 40, -4, -132, -24, 0, 0, -112, 128, 84, 0, 8, -84, 0, -36, 0, -96, -48, 16, -120, 0, 160, -16, 24, -72, 0, 36, 0, -40, 408, 0, -84, 16, -60, 0, 0, 184, 24, 12, 104, 0, 0, -4, 328, 64, 0, 8, 36, 0, 112, 0, 48, 72, -8, 0, 0, -16, 336, 40, 96, 0, 72, 0, 80, -8, 0, -36, -32, 84, 0, 0, 8, -80, 60, 40, 0, 0, -136, 112, -32, 0, -68, -144, 0, -84, 0, -16, -48, 96, -264, 0, 12, 0, -48, 12, 0, -132, 0, -96, -256, 0, -264, 16, -96, 0, 0, 16, -128, -120, -80, 0, 0, -8, -88, 60, 0, -132, 24, 0, -88, 0, 4, 12, -76, 144, 0, 48, -184, 16, -204, 0, -36, 0, -72, -56, 0, 24, -84, 72, 0, 0, -248, -20, -96, -20, 0, 0, 308, -16, -84, 0, 12, 24, 0, -4, 0, -68, -120, -40, -84, 0, -196, 256, 12, -204, 0, -36, 0, -56, -32, 0, -96, -28, 48, 0, 0, 24, 212, 24, 28, 0, 0, 4, 0, 64, 0, -56, 168, 0, 56, 0, 0, 144, 8, -12, 0, 68, 112, 4, 312, 0, 132, 0, 124, -120, 0, 60, 52, 108, 0, 0, 8, -24, 360, 32, 0, 0, 148, -144, -80, 0, 136, 60, 0, 4, 0, 20, -96, 96, 84, 0, -80, 176, 0, -144, 0, -48, 0, 28, 0, 0, 240, 112, -108, 0, 0, 16, -88, 48, 16, 0, 0, -136, -224, 48, 0, -12, -228, 0, 148, 0, 8, -12, -20, 264, 0, -120, -464, 44, 228, 0, 156, 0, -128, 40, 0, 156, 200, 0, 0, 0, 56, -76, 264, 108, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 7766237
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 47, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228321862, 'target_is_minimal': True, 'target_label': '70.2.k.a.47.1', 'target_level': 70, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 7766238
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 397, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9010429103702646, 'target_is_minimal': False, 'target_label': '630.2.bv.c.397.3', 'target_level': 630, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7766239
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 257, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9011322456900144, 'target_is_minimal': False, 'target_label': '560.2.ci.c.257.3', 'target_level': 560, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7766240
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 243, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008161360970078, 'target_is_minimal': False, 'target_label': '350.2.o.c.243.2', 'target_level': 350, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7766241
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 33, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 687228321862, 'target_is_minimal': True, 'target_label': '70.2.k.a.33.3', 'target_level': 70, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7766242
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 257, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008161360970078, 'target_is_minimal': False, 'target_label': '350.2.o.c.257.4', 'target_level': 350, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 7766243
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 97, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007611605156330, 'target_is_minimal': False, 'target_label': '490.2.g.c.97.6', 'target_level': 490, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7766244
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 687228321862, 'target_is_minimal': True, 'target_label': '70.2.k.a.17.3', 'target_level': 70, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7766245
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 227, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007955202540010, 'target_is_minimal': False, 'target_label': '490.2.l.c.227.4', 'target_level': 490, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 7766246
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 97, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007611605156330, 'target_is_minimal': False, 'target_label': '490.2.g.c.97.7', 'target_level': 490, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 7766247
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 117, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540010, 'target_is_minimal': False, 'target_label': '490.2.l.c.117.2', 'target_level': 490, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 7766248
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 523, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010429103702646, 'target_is_minimal': False, 'target_label': '630.2.bv.c.523.1', 'target_level': 630, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 7766249
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 33, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9011322456900144, 'target_is_minimal': False, 'target_label': '560.2.ci.c.33.3', 'target_level': 560, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7766250
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 577, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010429103702646, 'target_is_minimal': False, 'target_label': '630.2.bv.c.577.1', 'target_level': 630, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 7766251
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 17, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9011322456900144, 'target_is_minimal': False, 'target_label': '560.2.ci.c.17.3', 'target_level': 560, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '28.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7766252
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 3, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228321862, 'target_is_minimal': True, 'target_label': '70.2.k.a.3.1', 'target_level': 70, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '35.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7766253
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 313, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007955202540010, 'target_is_minimal': False, 'target_label': '490.2.l.c.313.4', 'target_level': 490, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 7766254
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 143, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008161360970078, 'target_is_minimal': False, 'target_label': '350.2.o.c.143.4', 'target_level': 350, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '35.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 7766255
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 423, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007955202540010, 'target_is_minimal': False, 'target_label': '490.2.l.c.423.2', 'target_level': 490, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '35.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 7766256
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 293, 'target_dim': 16, 'target_embedding_index': 7, 'target_hecke_orbit_code': 9007611605156330, 'target_is_minimal': False, 'target_label': '490.2.g.c.293.7', 'target_level': 490, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '35.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 7766257
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 157, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008161360970078, 'target_is_minimal': False, 'target_label': '350.2.o.c.157.2', 'target_level': 350, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '35.24', 'twisting_conrey_index': 24, 'weight': 2}
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id: 7766258
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 293, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007611605156330, 'target_is_minimal': False, 'target_label': '490.2.g.c.293.6', 'target_level': 490, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '35.33', 'twisting_conrey_index': 33, 'weight': 2}
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id: 7766259
{'conductor': 105, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 73, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9010429103702646, 'target_is_minimal': False, 'target_label': '630.2.bv.c.73.3', 'target_level': 630, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '105.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 7766260
{'conductor': 140, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 16, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228321862, 'source_is_minimal': True, 'source_label': '70.2.k.a.47.1', 'source_level': 70, 'target_conrey_index': 353, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9011322456900144, 'target_is_minimal': False, 'target_label': '560.2.ci.c.353.3', 'target_level': 560, 'twist_class_label': '70.2.k.a.3.1', 'twist_class_level': 70, 'twisting_char_label': '140.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 220625
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 687228321862, 'p': 2}
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id: 220626
{'charpoly_factorization': [[[16, 96, 288, 576, -276, -1968, 3528, -3780, 2357, -564, 0, 84, -45, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 3}
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id: 220627
{'charpoly_factorization': [[[390625, 937500, 1031250, 675000, 281250, 58500, -21600, -31260, -18241, -6252, -864, 468, 450, 216, 66, 12, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 5}
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id: 220628
{'charpoly_factorization': [[[5764801, -6588344, 3764768, -1344560, 175273, 54880, -20384, -4872, 4944, -696, -416, 160, 73, -80, 32, -8, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 7}
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id: 220629
{'charpoly_factorization': [[[3844, 5952, 8410, 1992, 807, 114, 49, 6, 1], 2]], 'hecke_orbit_code': 687228321862, 'p': 11}
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id: 220630
{'charpoly_factorization': [[[16, 0, 0, 0, 2280, 0, 0, 0, 1361, 0, 0, 0, 90, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 13}
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id: 220631
{'charpoly_factorization': [[[9834496, 50577408, 130056192, 222953472, 273629952, 243823104, 162570240, 83276928, 33047888, 10173024, 2449440, 463968, 68652, 7776, 648, 36, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 17}
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id: 220632
{'charpoly_factorization': [[[100000000, 0, 58000000, 0, 23150000, 0, 4844200, 0, 730801, 0, 53438, 0, 2795, 0, 62, 0, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 19}
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id: 220633
{'charpoly_factorization': [[[260144641, -237612428, 108515912, -202471528, 80047982, 44050244, 5166336, 2575212, 443539, -48324, -5376, -3052, -658, 56, 8, 4, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 23}
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id: 220634
{'charpoly_factorization': [[[329476, 0, 90948, 0, 7325, 0, 162, 0, 1], 2]], 'hecke_orbit_code': 687228321862, 'p': 29}
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id: 220635
{'charpoly_factorization': [[[16, -672, 9472, -2688, -412, 192, 32, -12, 1], 2]], 'hecke_orbit_code': 687228321862, 'p': 31}
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id: 220636
{'charpoly_factorization': [[[65536, 327680, 819200, 5005312, 12386048, -6952448, 1552512, -950256, 232225, 22860, -4536, 2296, -385, -56, 8, -4, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 37}
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id: 220637
{'charpoly_factorization': [[[18769, 0, 31468, 0, 5174, 0, 140, 0, 1], 2]], 'hecke_orbit_code': 687228321862, 'p': 41}
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id: 220638
{'charpoly_factorization': [[[784, 896, 512, -976, 673, -140, 8, 4, 1], 2]], 'hecke_orbit_code': 687228321862, 'p': 43}
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id: 220639
{'charpoly_factorization': [[[9834496, 71651328, 261015552, 633894912, 655934400, -400292352, 103800096, -18641688, 920753, 355332, -82584, 15288, -825, -288, 72, -12, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 47}
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id: 220640
{'charpoly_factorization': [[[41740124416, -16252791808, 3164260352, -14817500160, -96585232, 3470092096, 1286198656, 363698592, 99156337, 19525980, 2989576, 431240, 52271, 4776, 392, 28, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 53}
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id: 220641
{'charpoly_factorization': [[[268435456, 0, 419430400, 0, 581697536, 0, 110116864, 0, 16306432, 0, 632192, 0, 18608, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 59}
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id: 220642
{'charpoly_factorization': [[[148996, -78744, -5042, 9996, 1607, -294, -37, 6, 1], 2]], 'hecke_orbit_code': 687228321862, 'p': 61}
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id: 220643
{'charpoly_factorization': [[[3429742096, 3117947360, 1417248800, 5674148832, 1483484684, -3138391520, 1227548872, -476714964, 180649957, -39085404, 6081184, -939268, 112235, -8184, 512, -32, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 67}
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id: 220644
{'charpoly_factorization': [[[-4424, 1816, -190, -4, 1], 4]], 'hecke_orbit_code': 687228321862, 'p': 71}
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id: 220645
{'charpoly_factorization': [[[1017603875209216, -198908406202368, 19440056696832, -1266632589312, -616424309760, 46930397184, 3390958080, 1224624768, 171765008, -7027296, -295776, -125664, -16260, 288, 72, 12, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 73}
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id: 220646
{'charpoly_factorization': [[[61465600000000, 0, -5720064000000, 0, 349926400000, 0, -12457574400, 0, 323248896, 0, -5240832, 0, 59680, 0, -288, 0, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 79}
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id: 220647
{'charpoly_factorization': [[[3812835757370896, 0, 0, 0, 5479636353768, 0, 0, 0, 1373332049, 0, 0, 0, 69978, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 83}
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id: 220648
{'charpoly_factorization': [[[9971220736, 0, 6274951040, 0, 3225808304, 0, 417079160, 0, 40392625, 0, 1250110, 0, 28859, 0, 190, 0, 1], 1]], 'hecke_orbit_code': 687228321862, 'p': 89}
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id: 220649
{'charpoly_factorization': [[[3111696, 0, 0, 0, 8136, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 687228321862, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '70.2.k.a', 'level': 70, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 10509954
{'hecke_orbit_code': 687228321862, 'n': 1, 'trace_an': 16}
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id: 10509955
{'hecke_orbit_code': 687228321862, 'n': 2, 'trace_an': 0}
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id: 10509956
{'hecke_orbit_code': 687228321862, 'n': 3, 'trace_an': 0}
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id: 10509957
{'hecke_orbit_code': 687228321862, 'n': 4, 'trace_an': 0}
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id: 10509958
{'hecke_orbit_code': 687228321862, 'n': 5, 'trace_an': -12}
-
id: 10509959
{'hecke_orbit_code': 687228321862, 'n': 6, 'trace_an': 0}
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id: 10509960
{'hecke_orbit_code': 687228321862, 'n': 7, 'trace_an': 8}
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id: 10509961
{'hecke_orbit_code': 687228321862, 'n': 8, 'trace_an': 0}
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id: 10509962
{'hecke_orbit_code': 687228321862, 'n': 9, 'trace_an': 0}
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id: 10509963
{'hecke_orbit_code': 687228321862, 'n': 10, 'trace_an': -12}
-
id: 10509964
{'hecke_orbit_code': 687228321862, 'n': 11, 'trace_an': -12}
-
id: 10509965
{'hecke_orbit_code': 687228321862, 'n': 12, 'trace_an': 0}
-
id: 10509966
{'hecke_orbit_code': 687228321862, 'n': 13, 'trace_an': 0}
-
id: 10509967
{'hecke_orbit_code': 687228321862, 'n': 14, 'trace_an': 0}
-
id: 10509968
{'hecke_orbit_code': 687228321862, 'n': 15, 'trace_an': 16}
-
id: 10509969
{'hecke_orbit_code': 687228321862, 'n': 16, 'trace_an': 8}
-
id: 10509970
{'hecke_orbit_code': 687228321862, 'n': 17, 'trace_an': -36}
-
id: 10509971
{'hecke_orbit_code': 687228321862, 'n': 18, 'trace_an': -8}
-
id: 10509972
{'hecke_orbit_code': 687228321862, 'n': 19, 'trace_an': 0}
-
id: 10509973
{'hecke_orbit_code': 687228321862, 'n': 20, 'trace_an': 0}
-
id: 10509974
{'hecke_orbit_code': 687228321862, 'n': 21, 'trace_an': -28}
-
id: 10509975
{'hecke_orbit_code': 687228321862, 'n': 22, 'trace_an': -8}
-
id: 10509976
{'hecke_orbit_code': 687228321862, 'n': 23, 'trace_an': -4}
-
id: 10509977
{'hecke_orbit_code': 687228321862, 'n': 24, 'trace_an': 0}
-
id: 10509978
{'hecke_orbit_code': 687228321862, 'n': 25, 'trace_an': 12}
-
id: 10509979
{'hecke_orbit_code': 687228321862, 'n': 26, 'trace_an': 12}
-
id: 10509980
{'hecke_orbit_code': 687228321862, 'n': 27, 'trace_an': 0}
-
id: 10509981
{'hecke_orbit_code': 687228321862, 'n': 28, 'trace_an': 4}
-
id: 10509982
{'hecke_orbit_code': 687228321862, 'n': 29, 'trace_an': 0}
-
id: 10509983
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id: 10510188
{'hecke_orbit_code': 687228321862, 'n': 841, 'trace_an': -184}
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id: 10510189
{'hecke_orbit_code': 687228321862, 'n': 853, 'trace_an': 0}
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id: 10510190
{'hecke_orbit_code': 687228321862, 'n': 857, 'trace_an': -96}
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id: 10510191
{'hecke_orbit_code': 687228321862, 'n': 859, 'trace_an': 0}
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id: 10510192
{'hecke_orbit_code': 687228321862, 'n': 863, 'trace_an': -84}
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id: 10510193
{'hecke_orbit_code': 687228321862, 'n': 877, 'trace_an': 12}
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id: 10510194
{'hecke_orbit_code': 687228321862, 'n': 881, 'trace_an': 0}
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id: 10510195
{'hecke_orbit_code': 687228321862, 'n': 883, 'trace_an': -32}
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id: 10510196
{'hecke_orbit_code': 687228321862, 'n': 887, 'trace_an': 48}
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id: 10510197
{'hecke_orbit_code': 687228321862, 'n': 907, 'trace_an': 8}
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id: 10510198
{'hecke_orbit_code': 687228321862, 'n': 911, 'trace_an': 112}
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id: 10510199
{'hecke_orbit_code': 687228321862, 'n': 919, 'trace_an': 0}
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id: 10510200
{'hecke_orbit_code': 687228321862, 'n': 929, 'trace_an': 0}
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id: 10510201
{'hecke_orbit_code': 687228321862, 'n': 937, 'trace_an': 0}
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id: 10510202
{'hecke_orbit_code': 687228321862, 'n': 941, 'trace_an': -96}
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id: 10510203
{'hecke_orbit_code': 687228321862, 'n': 947, 'trace_an': 0}
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id: 10510204
{'hecke_orbit_code': 687228321862, 'n': 953, 'trace_an': 0}
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id: 10510205
{'hecke_orbit_code': 687228321862, 'n': 961, 'trace_an': -88}
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id: 10510206
{'hecke_orbit_code': 687228321862, 'n': 967, 'trace_an': -224}
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id: 10510207
{'hecke_orbit_code': 687228321862, 'n': 971, 'trace_an': -228}
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id: 10510208
{'hecke_orbit_code': 687228321862, 'n': 977, 'trace_an': -20}
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id: 10510209
{'hecke_orbit_code': 687228321862, 'n': 983, 'trace_an': 228}
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id: 10510210
{'hecke_orbit_code': 687228321862, 'n': 991, 'trace_an': 200}
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id: 10510211
{'hecke_orbit_code': 687228321862, 'n': 997, 'trace_an': 264}