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mf_newforms • Show schema
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{'Nk2': 968, 'analytic_conductor': 1.9323797289149853, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [242, 5, [123], [4]], 'cm_discs': [], 'conrey_index': 3, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 4, 6, -1, 1]], [7, [16, -8, 4, -2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 137472508146, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '242.2.c.a', 'level': 242, '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, 11], 'level_radical': 22, 'minimal_twist': '22.2.c.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\zeta_{10}-\\zeta_{10}^{2}+\\zeta_{10}^{3})q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '242.2.c', 'trace_display': [-1, 1, 4, 2], 'trace_hash': 259678916849073711, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.047', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.995', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.525', 'prec': 17}, {'__RealLiteral__': 0, 'data': '48.843', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 968, 'analytic_conductor': 1.9323797289149853, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 5, 'char_parity': 1, 'char_values': [242, 5, [123], [4]], 'conrey_index': 3, 'cusp_dim': 84, 'dim': 36, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 137472508146, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 8, 8], 'label': '242.2.c', 'level': 242, '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, 11], 'level_radical': 22, 'mf_dim': 180, 'mf_new_dim': 36, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 9, 'sturm_bound': 66, 'trace_bound': 3, 'trace_display': [1, 6, 8, -2], 'traces': [36, 1, 6, -9, 8, -1, -2, 1, -15, -4, 0, -14, 4, -2, -2, -9, -2, 8, 5, 8, 12, 0, -12, -1, -13, -4, 3, -2, -10, -6, 10, -4, 0, -18, -12, 0, 28, -8, 6, -4, 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-90, -138, -78, -96, -112, -10, -24, -46, 96, 0, -772, 2, -11, 116, -148, 16, -42, -20, -36, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 846617
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 9, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508146, 'target_is_minimal': False, 'target_label': '242.2.c.a.9.1', 'target_level': 242, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 846618
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 3, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727249138, 'target_is_minimal': False, 'target_label': '242.2.c.c.3.1', 'target_level': 242, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 846619
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 15, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472507926, 'target_is_minimal': True, 'target_label': '22.2.c.a.15.1', 'target_level': 22, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 846620
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407154, 'target_is_minimal': False, 'target_label': '242.2.a.f.1.1', 'target_level': 242, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 846621
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 27, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508146, 'target_is_minimal': False, 'target_label': '242.2.c.a.27.1', 'target_level': 242, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 846622
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 27, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619634, 'target_is_minimal': False, 'target_label': '242.2.c.d.27.1', 'target_level': 242, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 846623
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666162, 'target_is_minimal': False, 'target_label': '242.2.a.d.1.1', 'target_level': 242, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 846624
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 81, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727249138, 'target_is_minimal': False, 'target_label': '242.2.c.c.81.1', 'target_level': 242, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 846625
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 3, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472507926, 'target_is_minimal': True, 'target_label': '22.2.c.a.3.1', 'target_level': 22, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 846626
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 9, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510936354619634, 'target_is_minimal': False, 'target_label': '242.2.c.d.9.1', 'target_level': 242, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 846627
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 37, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420294, 'target_is_minimal': False, 'target_label': '198.2.f.e.37.1', 'target_level': 198, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '33.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 846628
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 91, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014742140420294, 'target_is_minimal': False, 'target_label': '198.2.f.e.91.1', 'target_level': 198, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '33.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 846629
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444114050, 'target_is_minimal': False, 'target_label': '2178.2.a.p.1.1', 'target_level': 2178, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '33.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 846630
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463078018, 'target_is_minimal': False, 'target_label': '2178.2.a.x.1.1', 'target_level': 2178, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '33.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 846631
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 81, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008023922016432, 'target_is_minimal': False, 'target_label': '176.2.m.c.81.1', 'target_level': 176, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '44.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 846632
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189372816, 'target_is_minimal': False, 'target_label': '1936.2.a.n.1.2', 'target_level': 1936, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '44.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 846633
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816743312, 'target_is_minimal': False, 'target_label': '1936.2.a.o.1.2', 'target_level': 1936, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '44.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 846634
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 113, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008023922016432, 'target_is_minimal': False, 'target_label': '176.2.m.c.113.1', 'target_level': 176, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '44.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 846635
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 499, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008985994691110, 'target_is_minimal': False, 'target_label': '550.2.ba.c.499.1', 'target_level': 550, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '55.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 846636
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637862306, 'target_is_minimal': False, 'target_label': '6050.2.a.bs.1.2', 'target_level': 6050, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '55.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 846637
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 201, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525678461485606, 'target_is_minimal': False, 'target_label': '550.2.h.h.201.1', 'target_level': 550, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '55.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 846638
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 301, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525678461485606, 'target_is_minimal': False, 'target_label': '550.2.h.h.301.1', 'target_level': 550, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '55.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 846639
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 270215977675790242, 'target_is_minimal': False, 'target_label': '6050.2.a.ci.1.2', 'target_level': 6050, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '55.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 846640
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 399, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008985994691110, 'target_is_minimal': False, 'target_label': '550.2.ba.c.399.1', 'target_level': 550, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '55.42', 'twisting_conrey_index': 42, 'weight': 2}
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id: 846641
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 499, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008985994691110, 'target_is_minimal': False, 'target_label': '550.2.ba.c.499.2', 'target_level': 550, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '55.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 846642
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 399, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008985994691110, 'target_is_minimal': False, 'target_label': '550.2.ba.c.399.2', 'target_level': 550, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '55.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 846643
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275968, 'target_is_minimal': False, 'target_label': '704.2.m.a.257.1', 'target_level': 704, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '88.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 846644
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 175640385501011520, 'target_is_minimal': False, 'target_label': '7744.2.a.bn.1.2', 'target_level': 7744, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '88.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 846645
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873641024, 'target_is_minimal': False, 'target_label': '7744.2.a.bm.1.2', 'target_level': 7744, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '88.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 846646
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 342273571713719872, 'target_is_minimal': False, 'target_label': '7744.2.a.cy.1.1', 'target_level': 7744, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '88.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 846647
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 641, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526022058869440, 'target_is_minimal': False, 'target_label': '704.2.m.h.641.1', 'target_level': 704, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '88.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 846648
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 346777171341090368, 'target_is_minimal': False, 'target_label': '7744.2.a.cz.1.1', 'target_level': 7744, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '88.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 846649
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 257, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31526022058869440, 'target_is_minimal': False, 'target_label': '704.2.m.h.257.1', 'target_level': 704, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '88.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 846650
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 9, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 137472508146, 'source_is_minimal': False, 'source_label': '242.2.c.a.9.1', 'source_level': 242, 'target_conrey_index': 641, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 824667275968, 'target_is_minimal': False, 'target_label': '704.2.m.a.641.1', 'target_level': 704, 'twist_class_label': '22.2.c.a.3.1', 'twist_class_level': 22, 'twisting_char_label': '88.75', 'twisting_conrey_index': 75, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 568575
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 2}
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id: 568576
{'charpoly_factorization': [[[1, 4, 6, -1, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 3}
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id: 568577
{'charpoly_factorization': [[[16, -24, 16, -4, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 5}
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id: 568578
{'charpoly_factorization': [[[16, -8, 4, -2, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 7}
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id: 568579
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 137472508146, 'p': 11}
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id: 568580
{'charpoly_factorization': [[[16, -16, 16, -6, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 13}
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id: 568581
{'charpoly_factorization': [[[1, 2, 4, 3, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 17}
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id: 568582
{'charpoly_factorization': [[[25, -25, 40, -10, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 19}
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id: 568583
{'charpoly_factorization': [[[-4, 2, 1], 2]], 'hecke_orbit_code': 137472508146, 'p': 23}
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id: 568584
{'charpoly_factorization': [[[400, 200, 60, 10, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 29}
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id: 568585
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 31}
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id: 568586
{'charpoly_factorization': [[[1296, -648, 144, -12, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 37}
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id: 568587
{'charpoly_factorization': [[[361, 38, 24, 7, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 41}
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id: 568588
{'charpoly_factorization': [[[-99, -3, 1], 2]], 'hecke_orbit_code': 137472508146, 'p': 43}
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id: 568589
{'charpoly_factorization': [[[256, -128, 64, -12, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 47}
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id: 568590
{'charpoly_factorization': [[[256, 64, 96, -16, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 53}
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id: 568591
{'charpoly_factorization': [[[3025, -275, 60, -10, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 59}
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id: 568592
{'charpoly_factorization': [[[256, 128, 64, 12, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 61}
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id: 568593
{'charpoly_factorization': [[[-1, -11, 1], 2]], 'hecke_orbit_code': 137472508146, 'p': 67}
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id: 568594
{'charpoly_factorization': [[[16, -32, 24, 2, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 71}
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id: 568595
{'charpoly_factorization': [[[17161, 1834, 136, 9, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 73}
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id: 568596
{'charpoly_factorization': [[[32400, -5400, 540, -30, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 79}
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id: 568597
{'charpoly_factorization': [[[3481, -1121, 186, -16, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 83}
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id: 568598
{'charpoly_factorization': [[[-25, 5, 1], 2]], 'hecke_orbit_code': 137472508146, 'p': 89}
-
id: 568599
{'charpoly_factorization': [[[9801, 297, 144, 18, 1], 1]], 'hecke_orbit_code': 137472508146, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 1, 'label': '242.2.c.a', 'level': 242, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 5574637
{'hecke_orbit_code': 137472508146, 'n': 1, 'trace_an': 4}
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id: 5574638
{'hecke_orbit_code': 137472508146, 'n': 2, 'trace_an': -1}
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id: 5574639
{'hecke_orbit_code': 137472508146, 'n': 3, 'trace_an': 1}
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id: 5574640
{'hecke_orbit_code': 137472508146, 'n': 4, 'trace_an': -1}
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id: 5574641
{'hecke_orbit_code': 137472508146, 'n': 5, 'trace_an': 4}
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id: 5574642
{'hecke_orbit_code': 137472508146, 'n': 6, 'trace_an': -4}
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id: 5574643
{'hecke_orbit_code': 137472508146, 'n': 7, 'trace_an': 2}
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id: 5574644
{'hecke_orbit_code': 137472508146, 'n': 8, 'trace_an': -1}
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id: 5574645
{'hecke_orbit_code': 137472508146, 'n': 9, 'trace_an': -8}
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id: 5574646
{'hecke_orbit_code': 137472508146, 'n': 10, 'trace_an': 4}
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id: 5574647
{'hecke_orbit_code': 137472508146, 'n': 11, 'trace_an': 0}
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id: 5574648
{'hecke_orbit_code': 137472508146, 'n': 12, 'trace_an': 6}
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id: 5574649
{'hecke_orbit_code': 137472508146, 'n': 13, 'trace_an': 6}
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id: 5574650
{'hecke_orbit_code': 137472508146, 'n': 14, 'trace_an': 2}
-
id: 5574651
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id: 5574868
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id: 5574869
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id: 5574870
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id: 5574871
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id: 5574872
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id: 5574873
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id: 5574875
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id: 5574876
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id: 5574877
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id: 5574878
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id: 5574879
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id: 5574880
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id: 5574881
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id: 5574882
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id: 5574883
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id: 5574884
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id: 5574885
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id: 5574886
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id: 5574887
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id: 5574888
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id: 5574889
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id: 5574890
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id: 5574891
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id: 5574892
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id: 5574893
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id: 5574894
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