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mf_newforms • Show schema
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{'Nk2': 144, 'analytic_conductor': 0.2874614472766094, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 36, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 6, 'char_parity': 1, 'char_values': [36, 6, [19, 29], [3, 1]], 'cm_discs': [], 'conrey_index': 11, 'dim': 8, 'field_disc': 170772624, 'field_disc_factorization': [[2, 4], [3, 6], [11, 4]], 'field_poly': [16, -24, 20, -12, 6, -6, 5, -3, 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': 481069891620, 'hecke_ring_generator_nbound': 5, '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, 4, 2, -1, 2, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 36, 8, 1, 6, 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': '36.2.h.a', 'level': 36, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '36.2.h.a', 'nf_label': '8.0.170772624.1', 'prim_orbit_index': 8, 'qexp_display': 'q+(1-\\beta _{1}+\\beta _{4}+\\beta _{7})q^{2}+(-\\beta _{2}-\\beta _{3}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '36.2.h', 'trace_display': [-3, 0, -6, 0], 'trace_hash': 743109739627977142, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.607', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 144, 'analytic_conductor': 0.2874614472766094, 'char_conductor': 36, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 6, 'char_parity': 1, 'char_values': [36, 6, [19, 29], [3, 1]], 'conrey_index': 11, 'cusp_dim': 8, 'dim': 8, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [], 'hecke_orbit_code': 481069891620, 'hecke_orbit_dims': [8], 'label': '36.2.h', 'level': 36, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 16, 'mf_new_dim': 16, 'num_forms': 1, 'prim_orbit_index': 8, 'relative_dim': 4, 'sturm_bound': 12, 'trace_bound': 0, 'trace_display': [-3, 0, -6, 0], 'traces': [8, -3, 0, -1, -6, -3, 0, 0, -6, -8, 0, 6, -2, 12, 0, -1, 0, 18, 0, 18, -6, 3, 0, 3, -6, 0, 0, -12, 6, -18, 0, -33, 24, 7, 0, -33, -8, -27, 0, 10, 24, -18, 0, 0, 6, 12, 0, 21, -10, 21, 0, 16, 0, 39, 0, 18, 6, 4, 0, 6, -2, 0, 0, 26, -30, -24, 0, -15, -30, -6, 0, -21, 4, -30, 0, -3, -30, -12, 0, 0, -30, 10, 0, 30, 8, 21, 0, -21, 0, 6, 0, 24, 30, -18, 0, 12, 4, 0, 0, -30, 66, 9, 0, 12, 12, -20, 0, -15, 16, 12, 0, -30, 30, 21, 0, 0, 66, -54, 0, -24, 20, 18, 0, -12, 0, -12, 0, -3, -60, 2, 0, 15, 24, 0, 0, -2, -84, 12, 0, -24, -78, 30, 0, 18, -28, 15, 0, 34, -78, 24, 0, 0, -30, 48, 0, -12, 10, -24, 0, 22, 0, -33, 0, -39, 12, 30, 0, -6, 18, 0, 0, 78, 42, -6, 0, 39, 102, 4, 0, 24, -32, -6, 0, -24, 72, 12, 0, 0, 30, 60, 0, -51, -8, -69, 0, -19, 0, -33, 0, -3, 18, -44, 0, -12, -34, 0, 0, -32, 18, 6, 0, 24, -60, -51, 0, 36, -60, 60, 0, -6, 36, -30, 0, 0, -24, -92, 0, 6, -26, -42, 0, 10, 0, -24, 0, -75, 78, 6, 0, -42, -20, 0, 0, -32, 48, 39, 0, 36, 42, 26, 0, 42, 36, 72, 0, 47, 12, 18, 0, 0, 30, 60, 0, 9, -4, -18, 0, 39, 0, -60, 0, 15, -72, 43, 0, -12, -14, 0, 0, 48, -102, 78, 0, 54, -84, 18, 0, 33, 108, -6, 0, -17, -150, 39, 0, 0, -48, 28, 0, -39, -18, -6, 0, -51, 0, 6, 0, -42, -78, -54, 0, -12, 28, 0, 0, -108, -30, 12, 0, 30, 102, -18, 0, 42, 72, 18, 0, -29, 114, -24, 0, 0, -60, -144, 0, -12, 40, 3, 0, 2, 0, -36, 0, -117, 54, 28, 0, -18, 34, 0, 0, -54, 12, -21, 0, 48, 48, 48, 0, 66, 44, 12, 0, 36, -36, 30, 0, 0, -24, 8, 0, -96, 22, -21, 0, 60, 0, -12, 0, 54, 72, 36, 0, -15, -18, 0, 0, 130, 138, 30, 0, -39, -18, -8, 0, 39, -104, 18, 0, 15, -60, -39, 0, 0, 78, 12, 0, 39, -32, -24, 0, -48, 0, 24, 0, 0, -90, -21, 0, -24, -38, 0, 0, -32, -42, -30, 0, 27, -36, -60, 0, -39, -92, 6, 0, -68, 36, 15, 0, 0, -66, -40, 0, 60, -52, -42, 0, -6, 0, -21, 0, 108, -30, 15, 0, 57, -68, 0, 0, -24, -78, 42, 0, -18, 30, 67, 0, -24, -36, -6, 0, 75, 96, -30, 0, 0, 48, 108, 0, 18, -64, 81, 0, 38, 0, 18, 0, -12, 84, 10, 0, 9, 8, 0, 0, 144, 36, -42, 0, -84, 30, 9, 0, -108, 44, -30, 0, -36, 114, -18, 0, 0, 108, 82, 0, 3, 78, -12, 0, -28, 0, 0, 0, -12, 60, -60, 0, 12, 62, 0, 0, -12, 54, -108, 0, -117, -96, -80, 0, -78, 112, -144, 0, -11, -144, 78, 0, 0, -30, -42, 0, -12, 30, -6, 0, 3, 0, 120, 0, 12, -6, -2, 0, -24, 62, 0, 0, -108, -84, -6, 0, -60, -42, 24, 0, -69, -44, -24, 0, 20, -102, -126, 0, 0, -18, 64, 0, 39, 84, 156, 0, 34, 0, 93, 0, 36, -180, 30, 0, 81, 28, 0, 0, 72, -96, -66, 0, 45, -30, 2, 0, 15, -104, 63, 0, 6, 12, 48, 0, 0, -42, -24, 0, 120, 28, 45, 0, -80, 0, 42, 0, 162, 78, -86, 0, 72, 28, 0, 0, -140, 168, 51, 0, 48, 120, -3, 0, -51, -96, -60, 0, -42, 42, 60, 0, 0, 30, -156, 0, 12, -74, 192, 0, -12, 0, 48, 0, 42, 54, 60, 0, 66, -62, 0, 0, -42, 102, -108, 0, 18, -144, -18, 0, -99, -4, -114, 0, -3, -84, 30, 0, 0, 30, 18, 0, 30, -10, -42, 0, 42, 0, -12, 0, 45, -72, 19, 0, 21, -38, 0, 0, 112, -78, -48, 0, -72, -6, -42, 0, -42, 156, -66, 0, 4, 24, -78, 0, 0, 0, -4, 0, -24, 10, -60, 0, 12, 0, 9, 0, -84, 12, -36, 0, -108, 50, 0, 0, 54, -180, 90, 0, -168, -18, 2, 0, 12, 112, 9, 0, -54, -6, -144, 0, 0, 0, -48, 0, 18, 94, 30, 0, -35, 0, -21, 0, 57, 72, 4, 0, 24, 24, 0, 0, 38, 150, -72, 0, -96, 114, 78, 0, -18, 68, 6, 0, 90, 246, 36, 0, 0, 96, 118, 0, 81, -30, -78, 0, 22, 0, 30, 0, 24, 120, 30, 0, -69, 42, 0, 0, 116, -138, 84, 0, 144, -60, 48, 0, -12, -248, -78, 0, -56, -18, -3, 0, 0, -174, 132, 0, -36, -102, 144, 0, -18, 0, 66, 0, -24, -30, 27, 0, 120, -98, 0, 0, -54, 42, -18, 0, -42, -48, -66, 0, -3, -196, 51, 0, 24, -138, -6, 0, 0, 126, 48, 0, -30, -98, -42, 0, 30, 0, -21, 0, 24, -210, -27, 0, -102, -108, 0, 0, -24, -108, -36, 0, -6, 42, 25, 0, 39, 80, -15, 0, 16, 24, 42, 0, 0, -198, -60, 0, -57, -42, -81, 0, 10, 0, 21, 0, 36, 162, 58, 0, -102, -60, 0, 0, -44, 186, -30, 0, -87, 258, 45, 0, -12, 136, 96, 0, 36, 174, 60, 0, 0, 12, -114, 0, 6, 32, -9, 0, -42, 0, -36, 0, -48, -18, -48, 0, 120, 14, 0, 0, -122, 78, -42, 0, 78, 6, -4, 0, 117, 180, 162, 0, 16, -264, -102, 0, 0, 120, -138, 0, 30, 104, -6, 0, 48, 0, -6, 0, -48, -162, 24, 0, -48, 154, 0, 0, -64], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 5356323
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 11, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 481069891620, 'target_is_minimal': True, 'target_label': '36.2.h.a.11.3', 'target_level': 36, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 5356324
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 35, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069891692, 'target_is_minimal': False, 'target_label': '108.2.h.a.35.2', 'target_level': 108, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5356325
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 11, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 481069891620, 'target_is_minimal': True, 'target_label': '36.2.h.a.11.4', 'target_level': 36, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5356326
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 299, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 962106229636, 'target_is_minimal': False, 'target_label': '900.2.o.a.299.1', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5356327
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 299, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 962106229636, 'target_is_minimal': False, 'target_label': '900.2.o.a.299.8', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5356328
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 551, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008367519400836, 'target_is_minimal': False, 'target_label': '900.2.r.c.551.2', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 5356329
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 191, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22519235120988736, 'target_is_minimal': False, 'target_label': '576.2.s.f.191.4', 'target_level': 576, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5356330
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 191, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519235120988736, 'target_is_minimal': False, 'target_label': '576.2.s.f.191.1', 'target_level': 576, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 5356331
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 323, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380401988, 'target_is_minimal': False, 'target_label': '324.2.b.b.323.2', 'target_level': 324, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5356332
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 71, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891692, 'target_is_minimal': False, 'target_label': '108.2.h.a.71.1', 'target_level': 108, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 5356333
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 23, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 481069891620, 'target_is_minimal': True, 'target_label': '36.2.h.a.23.4', 'target_level': 36, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 5356334
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 323, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4503668380401988, 'target_is_minimal': False, 'target_label': '324.2.b.b.323.7', 'target_level': 324, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 5356335
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 35, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891692, 'target_is_minimal': False, 'target_label': '108.2.h.a.35.1', 'target_level': 108, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 5356336
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 299, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 962106229636, 'target_is_minimal': False, 'target_label': '900.2.o.a.299.3', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 5356337
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 299, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 962106229636, 'target_is_minimal': False, 'target_label': '900.2.o.a.299.6', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 5356338
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 551, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008367519400836, 'target_is_minimal': False, 'target_label': '900.2.r.c.551.1', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 5356339
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 575, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519235120989888, 'target_is_minimal': False, 'target_label': '1728.2.s.f.575.1', 'target_level': 1728, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 5356340
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 575, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519235120989888, 'target_is_minimal': False, 'target_label': '1728.2.s.f.575.2', 'target_level': 1728, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 5356341
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 323, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380401988, 'target_is_minimal': False, 'target_label': '324.2.b.b.323.1', 'target_level': 324, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 5356342
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 323, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4503668380401988, 'target_is_minimal': False, 'target_label': '324.2.b.b.323.8', 'target_level': 324, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 5356343
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 23, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 481069891620, 'target_is_minimal': True, 'target_label': '36.2.h.a.23.3', 'target_level': 36, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 5356344
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 71, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069891692, 'target_is_minimal': False, 'target_label': '108.2.h.a.71.2', 'target_level': 108, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 5356345
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 851, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008367519400836, 'target_is_minimal': False, 'target_label': '900.2.r.c.851.1', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 5356346
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 599, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 962106229636, 'target_is_minimal': False, 'target_label': '900.2.o.a.599.6', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 5356347
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 599, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 962106229636, 'target_is_minimal': False, 'target_label': '900.2.o.a.599.3', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 5356348
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 383, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22519235120988736, 'target_is_minimal': False, 'target_label': '576.2.s.f.383.4', 'target_level': 576, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '72.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 5356349
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 5183, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532534118847552, 'target_is_minimal': False, 'target_label': '5184.2.c.j.5183.1', 'target_level': 5184, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '72.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 5356350
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 1151, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22519235120989888, 'target_is_minimal': False, 'target_label': '1728.2.s.f.1151.2', 'target_level': 1728, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '72.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 5356351
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 5183, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532534118847552, 'target_is_minimal': False, 'target_label': '5184.2.c.j.5183.2', 'target_level': 5184, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '72.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 5356352
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 5183, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 40532534118847552, 'target_is_minimal': False, 'target_label': '5184.2.c.j.5183.7', 'target_level': 5184, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '72.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 5356353
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 383, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519235120988736, 'target_is_minimal': False, 'target_label': '576.2.s.f.383.1', 'target_level': 576, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '72.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 5356354
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 5183, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 40532534118847552, 'target_is_minimal': False, 'target_label': '5184.2.c.j.5183.8', 'target_level': 5184, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '72.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 5356355
{'conductor': 72, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 1151, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519235120989888, 'target_is_minimal': False, 'target_label': '1728.2.s.f.1151.1', 'target_level': 1728, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '72.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 5356356
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 599, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 962106229636, 'target_is_minimal': False, 'target_label': '900.2.o.a.599.1', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '180.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 5356357
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 851, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008367519400836, 'target_is_minimal': False, 'target_label': '900.2.r.c.851.2', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '180.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 5356358
{'conductor': 180, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 481069891620, 'source_is_minimal': True, 'source_label': '36.2.h.a.11.3', 'source_level': 36, 'target_conrey_index': 599, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 962106229636, 'target_is_minimal': False, 'target_label': '900.2.o.a.599.8', 'target_level': 900, 'twist_class_label': '36.2.h.a.11.3', 'twist_class_level': 36, 'twisting_char_label': '180.167', 'twisting_conrey_index': 167, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 128125
{'charpoly_factorization': [[[16, 24, 20, 12, 6, 6, 5, 3, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 2}
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id: 128126
{'charpoly_factorization': [[[81, 0, 27, 0, 12, 0, 3, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 3}
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id: 128127
{'charpoly_factorization': [[[4, -6, 1, 3, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 5}
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id: 128128
{'charpoly_factorization': [[[144, 0, -108, 0, 69, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 7}
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id: 128129
{'charpoly_factorization': [[[9, 0, 36, 0, 141, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 11}
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id: 128130
{'charpoly_factorization': [[[64, -8, 9, 1, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 13}
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id: 128131
{'charpoly_factorization': [[[4, 0, 7, 0, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 17}
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id: 128132
{'charpoly_factorization': [[[108, 0, 27, 0, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 19}
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id: 128133
{'charpoly_factorization': [[[2304, 0, 720, 0, 177, 0, 15, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 23}
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id: 128134
{'charpoly_factorization': [[[4, 6, 1, -3, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 29}
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id: 128135
{'charpoly_factorization': [[[36864, 0, -13248, 0, 4569, 0, -69, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 31}
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id: 128136
{'charpoly_factorization': [[[-32, 2, 1], 4]], 'hecke_orbit_code': 481069891620, 'p': 37}
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id: 128137
{'charpoly_factorization': [[[1, -12, 49, -12, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 41}
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id: 128138
{'charpoly_factorization': [[[8311689, 0, -311364, 0, 8781, 0, -108, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 43}
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id: 128139
{'charpoly_factorization': [[[36864, 0, 25920, 0, 18033, 0, 135, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 47}
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id: 128140
{'charpoly_factorization': [[[256, 0, 76, 0, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 53}
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id: 128141
{'charpoly_factorization': [[[16867449, 0, 739260, 0, 28293, 0, 180, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 59}
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id: 128142
{'charpoly_factorization': [[[64, -8, 9, 1, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 61}
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id: 128143
{'charpoly_factorization': [[[8311689, 0, -311364, 0, 8781, 0, -108, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 67}
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id: 128144
{'charpoly_factorization': [[[432, 0, -144, 0, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 71}
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id: 128145
{'charpoly_factorization': [[[-8, -1, 1], 4]], 'hecke_orbit_code': 481069891620, 'p': 73}
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id: 128146
{'charpoly_factorization': [[[101848464, 0, -2028492, 0, 30309, 0, -201, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 79}
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id: 128147
{'charpoly_factorization': [[[9437184, 0, 340992, 0, 9249, 0, 111, 0, 1], 1]], 'hecke_orbit_code': 481069891620, 'p': 83}
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id: 128148
{'charpoly_factorization': [[[4096, 0, 172, 0, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 89}
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id: 128149
{'charpoly_factorization': [[[17161, 262, 135, -2, 1], 2]], 'hecke_orbit_code': 481069891620, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '36.2.h.a', 'level': 36, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 9292968
{'hecke_orbit_code': 481069891620, 'n': 1, 'trace_an': 8}
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id: 9292969
{'hecke_orbit_code': 481069891620, 'n': 2, 'trace_an': -3}
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id: 9292970
{'hecke_orbit_code': 481069891620, 'n': 3, 'trace_an': 0}
-
id: 9292971
{'hecke_orbit_code': 481069891620, 'n': 4, 'trace_an': -1}
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id: 9292972
{'hecke_orbit_code': 481069891620, 'n': 5, 'trace_an': -6}
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id: 9292973
{'hecke_orbit_code': 481069891620, 'n': 6, 'trace_an': -3}
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id: 9292974
{'hecke_orbit_code': 481069891620, 'n': 7, 'trace_an': 0}
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id: 9292975
{'hecke_orbit_code': 481069891620, 'n': 8, 'trace_an': 0}
-
id: 9292976
{'hecke_orbit_code': 481069891620, 'n': 9, 'trace_an': -6}
-
id: 9292977
{'hecke_orbit_code': 481069891620, 'n': 10, 'trace_an': -8}
-
id: 9292978
{'hecke_orbit_code': 481069891620, 'n': 11, 'trace_an': 0}
-
id: 9292979
{'hecke_orbit_code': 481069891620, 'n': 12, 'trace_an': 6}
-
id: 9292980
{'hecke_orbit_code': 481069891620, 'n': 13, 'trace_an': -2}
-
id: 9292981
{'hecke_orbit_code': 481069891620, 'n': 14, 'trace_an': 12}
-
id: 9292982
{'hecke_orbit_code': 481069891620, 'n': 15, 'trace_an': 0}
-
id: 9292983
{'hecke_orbit_code': 481069891620, 'n': 16, 'trace_an': -1}
-
id: 9292984
{'hecke_orbit_code': 481069891620, 'n': 17, 'trace_an': 0}
-
id: 9292985
{'hecke_orbit_code': 481069891620, 'n': 18, 'trace_an': 18}
-
id: 9292986
{'hecke_orbit_code': 481069891620, 'n': 19, 'trace_an': 0}
-
id: 9292987
{'hecke_orbit_code': 481069891620, 'n': 20, 'trace_an': 18}
-
id: 9292988
{'hecke_orbit_code': 481069891620, 'n': 21, 'trace_an': -6}
-
id: 9292989
{'hecke_orbit_code': 481069891620, 'n': 22, 'trace_an': 3}
-
id: 9292990
{'hecke_orbit_code': 481069891620, 'n': 23, 'trace_an': 0}
-
id: 9292991
{'hecke_orbit_code': 481069891620, 'n': 24, 'trace_an': 3}
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id: 9292992
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id: 9293200
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id: 9293201
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id: 9293202
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id: 9293203
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id: 9293204
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id: 9293205
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id: 9293206
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id: 9293207
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id: 9293208
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id: 9293209
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id: 9293210
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id: 9293211
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id: 9293212
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id: 9293213
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id: 9293214
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id: 9293215
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id: 9293216
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id: 9293217
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id: 9293218
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id: 9293219
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id: 9293220
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id: 9293221
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id: 9293222
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id: 9293223
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id: 9293224
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id: 9293225
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