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mf_newforms • Show schema
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{'Nk2': 5832, 'analytic_conductor': 11.64218861470268, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [1458, 3, [731], [2]], 'cm_discs': [], 'conrey_index': 487, 'dim': 12, 'field_disc': 40419192196881, 'field_disc_factorization': [[3, 18], [17, 2], [19, 2]], 'field_poly': [57, -342, 936, -1584, 1905, -1698, 1225, -678, 318, -110, 33, -6, 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': [[5, [5184, 7776, 14256, 4320, 6156, -1620, 3429, -918, 459, -60, 27, -3, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021735236732338, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2187, 'hecke_ring_index_factorization': [[3, 7]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 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': '1458.2.c.g', 'level': 1458, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '54.2.e.b', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{2}q^{2}+(-1-\\beta _{2})q^{4}+(1+\\beta _{1}-\\beta _{4}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1458.2.c', 'trace_display': [6, 0, 3, -6], 'trace_hash': 1944739254325072751, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.057', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.736', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6.372', 'prec': 17}, {'__RealLiteral__': 0, 'data': '489.570', 'prec': 24}, {'__RealLiteral__': 0, 'data': '486.739', 'prec': 24}, {'__RealLiteral__': 0, 'data': '43681.824', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [12, 6, 0, -6, 3, 0, -6, -12, 0, 6, 3, 0, -9, 6, 0, -6, -12, 0, 18, 3, 0, -3, -3, 0, -15, -18, 0, 12, 3, 0, -12, 6, 0, -6, 6, 0, 30, 9, 0, -3, 3, 0, -12, -6, 0, -6, -9, 0, -12, 15, 0, -9, 12, 0, 18, 6, 0, -3, -3, 0, -12, -24, 0, 12, -3, 0, -21, 6, 0, 3, 24, 0, 42, 15, 0, -9, -3, 0, 0, -6, 0, 6, -27, 0, 0, 12, 0, -3, 24, 0, 12, -3, 0, 9, -30, 0, -18, -24, 0, 30, 6, 0, -21, 9, 0, 6, 30, 0, 6, 9, 0, -6, -27, 0, -9, -6, 0, -6, -33, 0, 3, 12, 0, -12, 24, 0, 6, 6, 0, 3, -24, 0, -15, -42, 0, 12, -15, 0, -6, -3, 0, 12, 78, 0, 0, 21, 0, -15, -3, 0, -3, -18, 0, -6, -30, 0, -21, 0, 0, -3, 12, 0, -6, 3, 0, 27, -36, 0, 3, 0, 0, 24, -9, 0, 12, 3, 0, 12, 84, 0, -24, 6, 0, 3, -12, 0, 9, 18, 0, -60, -21, 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5832, 'analytic_conductor': 11.64218861470268, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [1458, 3, [731], [2]], 'conrey_index': 487, 'cusp_dim': 414, 'dim': 72, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 137472509362, 'hecke_orbit_dims': [6, 6, 6, 6, 12, 12, 12, 12], 'label': '1458.2.c', 'level': 1458, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 558, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 36, 'sturm_bound': 486, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 72, 0, 0, 36, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, -54, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -54, 0, 0, 72, 0, 0, 36, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 54, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 108, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 36, 0, 0, -36, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 108, 0, 0, -108, 0, 0, 108, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 36, 0, 0, -54, 0, 0, -216, 0, 0, -36, 0, 0, 36, 0, 0, -108, 0, 0, 108, 0, 0, 36, 0, 0, -72, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 72, 0, 0, 36, 0, 0, 108, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, -54, 0, 0, 54, 0, 0, 0, 0, 0, -54, 0, 0, -54, 0, 0, -72, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, 108, 0, 0, 54, 0, 0, 72, 0, 0, 36, 0, 0, 36, 0, 0, 108, 0, 0, -54, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -216, 0, 0, 108, 0, 0, -216, 0, 0, 0, 0, 0, 432, 0, 0, -36, 0, 0, 36, 0, 0, -216, 0, 0, 108, 0, 0, 36, 0, 0, 432, 0, 0, 54, 0, 0, 108, 0, 0, 108, 0, 0, -216, 0, 0, 108, 0, 0, -216, 0, 0, 0, 0, 0, 36, 0, 0, 108, 0, 0, -54, 0, 0, 0, 0, 0, -108, 0, 0, 108, 0, 0, -216, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -18, 0, 0, -36, 0, 0, -216, 0, 0, 108, 0, 0, -54, 0, 0, 0, 0, 0, 36, 0, 0, 108, 0, 0, -216, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -216, 0, 0, -54, 0, 0, -180, 0, 0, 108, 0, 0, 72, 0, 0, -72, 0, 0, 108, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, -180, 0, 0, -216, 0, 0, -180, 0, 0, 0, 0, 0, 360, 0, 0, 54, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 360, 0, 0, -54, 0, 0, 0, 0, 0, -216, 0, 0, -180, 0, 0, 0, 0, 0, 432, 0, 0, 0, 0, 0, 108, 0, 0, -72, 0, 0, 108, 0, 0, -54, 0, 0, 36, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 144, 0, 0, 54, 0, 0, -108, 0, 0, 54, 0, 0, 108, 0, 0, 0, 0, 0, 144, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 72, 0, 0, -180, 0, 0, 108, 0, 0, -108, 0, 0, 0, 0, 0, -162, 0, 0, -216, 0, 0, 54, 0, 0, 0, 0, 0, 360, 0, 0, -54, 0, 0, 216, 0, 0, -108, 0, 0, 216, 0, 0, 0, 0, 0, -432, 0, 0, -54, 0, 0, -180, 0, 0, 216, 0, 0, -108, 0, 0, 0, 0, 0, -432, 0, 0, 108, 0, 0, -108, 0, 0, -108, 0, 0, 216, 0, 0, -108, 0, 0, 468, 0, 0, 0, 0, 0, 36, 0, 0, -216, 0, 0, 54, 0, 0, 36, 0, 0, -432, 0, 0, -108, 0, 0, 216, 0, 0, 72, 0, 0, -126, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -108, 0, 0, -54, 0, 0, 432, 0, 0, -216, 0, 0, 90, 0, 0, 0, 0, 0, 108, 0, 0, -216, 0, 0, 216, 0, 0, 0, 0, 0, -216, 0, 0, -108, 0, 0, 180, 0, 0, 54, 0, 0, 216, 0, 0, -108, 0, 0, -234, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -324, 0, 0, 36, 0, 0, -216, 0, 0, 432, 0, 0, -216, 0, 0, 0, 0, 0, 432, 0, 0, 108, 0, 0, -72, 0, 0, -216, 0, 0, 108, 0, 0, -108, 0, 0, 432, 0, 0, 54, 0, 0, 108, 0, 0, 432, 0, 0, -216, 0, 0, 108, 0, 0, -504, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 108, 0, 0, 324, 0, 0, 108, 0, 0, -216, 0, 0, -108, 0, 0, 162, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -252, 0, 0, 0, 0, 0, -180, 0, 0, 108, 0, 0, -72, 0, 0, 36, 0, 0, -108, 0, 0, 0, 0, 0, -324, 0, 0, 36, 0, 0, -288, 0, 0, 0, 0, 0, 36, 0, 0, 108], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45728619
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 973, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021735236732338, 'target_is_minimal': False, 'target_label': '1458.2.c.g.973.6', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45728620
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 973, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361842, 'target_is_minimal': False, 'target_label': '1458.2.c.f.973.1', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45728621
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135609361842, 'target_is_minimal': False, 'target_label': '1458.2.c.f.487.1', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45728622
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408370, 'target_is_minimal': False, 'target_label': '1458.2.a.f.1.1', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45728623
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 1, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021597797778866, 'target_is_minimal': False, 'target_label': '1458.2.a.g.1.6', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45728624
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 487, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 27021735236732338, 'target_is_minimal': False, 'target_label': '1458.2.c.g.487.6', 'target_level': 1458, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45728625
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 271, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472303055334, 'target_is_minimal': False, 'target_label': '486.2.e.h.271.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45728626
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420943846, 'target_is_minimal': False, 'target_label': '486.2.e.e.217.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45728627
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 7, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831926, 'target_is_minimal': True, 'target_label': '54.2.e.b.7.1', 'target_level': 54, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45728628
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 145, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832034, 'target_is_minimal': False, 'target_label': '162.2.e.b.145.1', 'target_level': 162, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45728629
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314342, 'target_is_minimal': False, 'target_label': '486.2.e.f.109.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45728630
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 379, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021872675684838, 'target_is_minimal': False, 'target_label': '486.2.e.g.379.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 45728631
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 379, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518273048314342, 'target_is_minimal': False, 'target_label': '486.2.e.f.379.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45728632
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 109, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021872675684838, 'target_is_minimal': False, 'target_label': '486.2.e.g.109.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 45728633
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 31, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831926, 'target_is_minimal': True, 'target_label': '54.2.e.b.31.1', 'target_level': 54, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45728634
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 19, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832034, 'target_is_minimal': False, 'target_label': '162.2.e.b.19.1', 'target_level': 162, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 45728635
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 217, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525472303055334, 'target_is_minimal': False, 'target_label': '486.2.e.h.217.2', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 45728636
{'conductor': 27, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 271, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420943846, 'target_is_minimal': False, 'target_label': '486.2.e.e.271.1', 'target_level': 486, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '27.25', 'twisting_conrey_index': 25, 'weight': 2}
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id: 45728637
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 193, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460080, 'target_is_minimal': False, 'target_label': '432.2.u.b.193.2', 'target_level': 432, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '108.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 45728638
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 973, 'source_dim': 12, 'source_embedding_index': 6, 'source_hecke_orbit_code': 27021735236732338, 'source_is_minimal': False, 'source_label': '1458.2.c.g.973.6', 'source_level': 1458, 'target_conrey_index': 385, 'target_dim': 12, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504974050460080, 'target_is_minimal': False, 'target_label': '432.2.u.b.385.2', 'target_level': 432, 'twist_class_label': '54.2.e.b.7.1', 'twist_class_level': 54, 'twisting_char_label': '108.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1967600
{'charpoly_factorization': [[[1, -1, 1], 6]], 'hecke_orbit_code': 27021735236732338, 'p': 2}
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id: 1967601
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 27021735236732338, 'p': 3}
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id: 1967602
{'charpoly_factorization': [[[5184, 7776, 14256, 4320, 6156, -1620, 3429, -918, 459, -60, 27, -3, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 5}
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id: 1967603
{'charpoly_factorization': [[[64, -576, 4272, -9824, 20196, 12762, 8727, 2349, 801, 148, 45, 6, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 7}
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id: 1967604
{'charpoly_factorization': [[[81, -729, 5022, -14877, 34101, 5346, 7641, -594, 729, -33, 36, -3, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 11}
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id: 1967605
{'charpoly_factorization': [[[23104, 78432, 184176, 226048, 202788, 95148, 35889, 8685, 2106, 373, 78, 9, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 13}
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id: 1967606
{'charpoly_factorization': [[[333, 378, -45, -132, -18, 6, 1], 2]], 'hecke_orbit_code': 27021735236732338, 'p': 17}
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id: 1967607
{'charpoly_factorization': [[[307, -159, -189, 119, 3, -9, 1], 2]], 'hecke_orbit_code': 27021735236732338, 'p': 19}
-
id: 1967608
{'charpoly_factorization': [[[5184, -38880, 274752, -173448, 226800, 144342, 90423, 22545, 5184, 465, 72, 3, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 23}
-
id: 1967609
{'charpoly_factorization': [[[5184, 0, 14256, -7344, 35316, -9882, 13149, 3942, 2565, 264, 63, -3, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 29}
-
id: 1967610
{'charpoly_factorization': [[[4032064, 6240864, 9828336, 1373440, 1314180, 188820, 130605, 13671, 5409, 562, 165, 12, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 31}
-
id: 1967611
{'charpoly_factorization': [[[11944, -1008, -3066, 821, 0, -15, 1], 2]], 'hecke_orbit_code': 27021735236732338, 'p': 37}
-
id: 1967612
{'charpoly_factorization': [[[2653641, -2155167, 1735668, -725409, 363123, -121986, 47655, -11124, 2673, -303, 54, -3, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 41}
-
id: 1967613
{'charpoly_factorization': [[[49674304, 33069216, 27174000, 6362176, 4071636, 959292, 412269, 49365, 10593, 922, 183, 12, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 43}
-
id: 1967614
{'charpoly_factorization': [[[419904, 1469664, 3674160, 4105728, 3280500, 1484244, 497421, 96228, 14661, 954, 153, 9, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 47}
-
id: 1967615
{'charpoly_factorization': [[[-72, 216, 414, -3, -63, -6, 1], 2]], 'hecke_orbit_code': 27021735236732338, 'p': 53}
-
id: 1967616
{'charpoly_factorization': [[[82464561, -101752605, 92615238, -40586049, 14183991, -2605608, 476145, -32616, 10071, -345, 126, 3, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 59}
-
id: 1967617
{'charpoly_factorization': [[[1000000, 2100000, 4170000, 1138000, 762300, 99720, 86649, 8703, 5085, 166, 183, 12, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 61}
-
id: 1967618
{'charpoly_factorization': [[[249393368449, 52003291269, 15501520200, 1988154427, 415015335, 46245528, 7227609, 611424, 73071, 5107, 480, 21, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 67}
-
id: 1967619
{'charpoly_factorization': [[[-22104, -12636, 1386, 975, -81, -12, 1], 2]], 'hecke_orbit_code': 27021735236732338, 'p': 71}
-
id: 1967620
{'charpoly_factorization': [[[-269, -363, 501, 587, 51, -21, 1], 2]], 'hecke_orbit_code': 27021735236732338, 'p': 73}
-
id: 1967621
{'charpoly_factorization': [[[591851584, -574821984, 412898256, -158181872, 49140612, -7979904, 1443345, -97965, 39393, -698, 213, 0, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 79}
-
id: 1967622
{'charpoly_factorization': [[[13756474944, 10070347680, 4977856944, 1450675008, 326204172, 52467588, 7230465, 796311, 84402, 7191, 558, 27, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 83}
-
id: 1967623
{'charpoly_factorization': [[[-356229, -44469, 20502, 2109, -270, -12, 1], 2]], 'hecke_orbit_code': 27021735236732338, 'p': 89}
-
id: 1967624
{'charpoly_factorization': [[[373532435929, 119002717176, 36829153215, 5166157000, 895766949, 83450898, 13634358, 935460, 110835, 4216, 528, 18, 1], 1]], 'hecke_orbit_code': 27021735236732338, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 7, 'label': '1458.2.c.g', 'level': 1458, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47149993
{'hecke_orbit_code': 27021735236732338, 'n': 1, 'trace_an': 12}
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id: 47149994
{'hecke_orbit_code': 27021735236732338, 'n': 2, 'trace_an': 6}
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id: 47149995
{'hecke_orbit_code': 27021735236732338, 'n': 3, 'trace_an': 0}
-
id: 47149996
{'hecke_orbit_code': 27021735236732338, 'n': 4, 'trace_an': -6}
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id: 47149997
{'hecke_orbit_code': 27021735236732338, 'n': 5, 'trace_an': 3}
-
id: 47149998
{'hecke_orbit_code': 27021735236732338, 'n': 6, 'trace_an': 0}
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id: 47149999
{'hecke_orbit_code': 27021735236732338, 'n': 7, 'trace_an': -6}
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id: 47150000
{'hecke_orbit_code': 27021735236732338, 'n': 8, 'trace_an': -12}
-
id: 47150001
{'hecke_orbit_code': 27021735236732338, 'n': 9, 'trace_an': 0}
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id: 47150002
{'hecke_orbit_code': 27021735236732338, 'n': 10, 'trace_an': 6}
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id: 47150003
{'hecke_orbit_code': 27021735236732338, 'n': 11, 'trace_an': 3}
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id: 47150004
{'hecke_orbit_code': 27021735236732338, 'n': 12, 'trace_an': 0}
-
id: 47150005
{'hecke_orbit_code': 27021735236732338, 'n': 13, 'trace_an': -9}
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id: 47150006
{'hecke_orbit_code': 27021735236732338, 'n': 14, 'trace_an': 6}
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id: 47150007
{'hecke_orbit_code': 27021735236732338, 'n': 15, 'trace_an': 0}
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id: 47150008
{'hecke_orbit_code': 27021735236732338, 'n': 16, 'trace_an': -6}
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id: 47150009
{'hecke_orbit_code': 27021735236732338, 'n': 17, 'trace_an': -12}
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id: 47150010
{'hecke_orbit_code': 27021735236732338, 'n': 18, 'trace_an': 0}
-
id: 47150011
{'hecke_orbit_code': 27021735236732338, 'n': 19, 'trace_an': 18}
-
id: 47150012
{'hecke_orbit_code': 27021735236732338, 'n': 20, 'trace_an': 3}
-
id: 47150013
{'hecke_orbit_code': 27021735236732338, 'n': 21, 'trace_an': 0}
-
id: 47150014
{'hecke_orbit_code': 27021735236732338, 'n': 22, 'trace_an': -3}
-
id: 47150015
{'hecke_orbit_code': 27021735236732338, 'n': 23, 'trace_an': -3}
-
id: 47150016
{'hecke_orbit_code': 27021735236732338, 'n': 24, 'trace_an': 0}
-
id: 47150017
{'hecke_orbit_code': 27021735236732338, 'n': 25, 'trace_an': -15}
-
id: 47150018
{'hecke_orbit_code': 27021735236732338, 'n': 26, 'trace_an': -18}
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id: 47150019
{'hecke_orbit_code': 27021735236732338, 'n': 27, 'trace_an': 0}
-
id: 47150020
{'hecke_orbit_code': 27021735236732338, 'n': 28, 'trace_an': 12}
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id: 47150021
{'hecke_orbit_code': 27021735236732338, 'n': 29, 'trace_an': 3}
-
id: 47150022
{'hecke_orbit_code': 27021735236732338, 'n': 30, 'trace_an': 0}
-
id: 47150023
{'hecke_orbit_code': 27021735236732338, 'n': 31, 'trace_an': -12}
-
id: 47150024
{'hecke_orbit_code': 27021735236732338, 'n': 32, 'trace_an': 6}
-
id: 47150025
{'hecke_orbit_code': 27021735236732338, 'n': 33, 'trace_an': 0}
-
id: 47150026
{'hecke_orbit_code': 27021735236732338, 'n': 34, 'trace_an': -6}
-
id: 47150027
{'hecke_orbit_code': 27021735236732338, 'n': 35, 'trace_an': 6}
-
id: 47150028
{'hecke_orbit_code': 27021735236732338, 'n': 36, 'trace_an': 0}
-
id: 47150029
{'hecke_orbit_code': 27021735236732338, 'n': 37, 'trace_an': 30}
-
id: 47150030
{'hecke_orbit_code': 27021735236732338, 'n': 38, 'trace_an': 9}
-
id: 47150031
{'hecke_orbit_code': 27021735236732338, 'n': 39, 'trace_an': 0}
-
id: 47150032
{'hecke_orbit_code': 27021735236732338, 'n': 40, 'trace_an': -3}
-
id: 47150033
{'hecke_orbit_code': 27021735236732338, 'n': 41, 'trace_an': 3}
-
id: 47150034
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{'hecke_orbit_code': 27021735236732338, 'n': 877, 'trace_an': -42}
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id: 47150233
{'hecke_orbit_code': 27021735236732338, 'n': 881, 'trace_an': -24}
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id: 47150234
{'hecke_orbit_code': 27021735236732338, 'n': 883, 'trace_an': -18}
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id: 47150235
{'hecke_orbit_code': 27021735236732338, 'n': 887, 'trace_an': -24}
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id: 47150236
{'hecke_orbit_code': 27021735236732338, 'n': 907, 'trace_an': -9}
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id: 47150237
{'hecke_orbit_code': 27021735236732338, 'n': 911, 'trace_an': 72}
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id: 47150238
{'hecke_orbit_code': 27021735236732338, 'n': 919, 'trace_an': -12}
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id: 47150239
{'hecke_orbit_code': 27021735236732338, 'n': 929, 'trace_an': 144}
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id: 47150240
{'hecke_orbit_code': 27021735236732338, 'n': 937, 'trace_an': -42}
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id: 47150241
{'hecke_orbit_code': 27021735236732338, 'n': 941, 'trace_an': 87}
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id: 47150242
{'hecke_orbit_code': 27021735236732338, 'n': 947, 'trace_an': 45}
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id: 47150243
{'hecke_orbit_code': 27021735236732338, 'n': 953, 'trace_an': 180}
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id: 47150244
{'hecke_orbit_code': 27021735236732338, 'n': 961, 'trace_an': 0}
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id: 47150245
{'hecke_orbit_code': 27021735236732338, 'n': 967, 'trace_an': -129}
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id: 47150246
{'hecke_orbit_code': 27021735236732338, 'n': 971, 'trace_an': -306}
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id: 47150247
{'hecke_orbit_code': 27021735236732338, 'n': 977, 'trace_an': 87}
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id: 47150248
{'hecke_orbit_code': 27021735236732338, 'n': 983, 'trace_an': -75}
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id: 47150249
{'hecke_orbit_code': 27021735236732338, 'n': 991, 'trace_an': -120}
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id: 47150250
{'hecke_orbit_code': 27021735236732338, 'n': 997, 'trace_an': -75}