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mf_newforms • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [225, 3, [101, 127], [1, 3]], 'cm_discs': [], 'conrey_index': 76, 'conrey_indexes': [76, 151], 'dim': 8, 'field_disc': 1223810289, 'field_disc_factorization': [[3, 4], [13, 4], [23, 2]], 'field_poly': [9, 15, 37, -8, 23, -2, 8, -2, 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': [[2, [9, -15, 37, 8, 23, 2, 8, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202593, 'hecke_ring_generator_nbound': 4, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '225.2.e.c', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '225.2.e.c', 'nf_label': '8.0.1223810289.2', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{1}q^{2}+(-\\beta _{4}+\\beta _{7})q^{3}+(-1+\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.2.e', 'trace_display': [-2, 1, 0, 1], 'trace_hash': 813021793839869066, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.668', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.379', 'prec': 17}, {'__RealLiteral__': 0, 'data': '221.934', 'prec': 24}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'225.2.e.c.76.3', 'level': 225, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [225, 3, [101, 127], [1, 3]], 'conrey_index': 76, 'cusp_dim': 48, 'dim': 32, 'eis_dim': 24, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461601, 'hecke_orbit_dims': [2, 6, 8, 8, 8], 'label': '225.2.e', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 72, 'mf_new_dim': 44, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 60, 'trace_bound': 2, 'trace_display': [2, 2, 0, 2], 'traces': [32, 2, 2, -12, 0, 0, 2, 0, 6, 0, -6, -14, 2, 6, 0, -8, -4, 20, 8, 0, -18, -6, 6, -54, 0, -24, 2, -16, -6, 0, 4, 22, -20, -14, 0, -12, -4, -10, 42, 0, -6, 42, 2, 72, 0, -16, 20, 10, 10, 0, -30, -10, 8, 48, 0, 48, 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mf_twists_cc • Show schema
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id: 40808655
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 76, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202593, 'target_is_minimal': True, 'target_label': '225.2.e.c.76.3', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40808656
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 226, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420944035, 'target_is_minimal': False, 'target_label': '675.2.e.e.226.2', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40808657
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886483063009, 'target_is_minimal': False, 'target_label': '225.2.k.c.49.4', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40808658
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007886483063009, 'target_is_minimal': False, 'target_label': '225.2.k.c.49.5', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40808659
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 76, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943585, 'target_is_minimal': True, 'target_label': '225.2.e.e.76.2', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40808660
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420944035, 'target_is_minimal': False, 'target_label': '675.2.e.e.451.2', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40808661
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090448361, 'target_is_minimal': False, 'target_label': '2025.2.a.y.1.2', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40808662
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67553994444113897, 'target_is_minimal': False, 'target_label': '2025.2.a.p.1.3', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40808663
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 151, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166202593, 'target_is_minimal': True, 'target_label': '225.2.e.c.151.3', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40808664
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 199, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007886483063459, 'target_is_minimal': False, 'target_label': '675.2.k.c.199.5', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40808665
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 199, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886483063459, 'target_is_minimal': False, 'target_label': '675.2.k.c.199.4', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 40808666
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 226, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166203043, 'target_is_minimal': False, 'target_label': '675.2.e.c.226.3', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 40808667
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 424, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886483063459, 'target_is_minimal': False, 'target_label': '675.2.k.c.424.4', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40808668
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594071484393, 'target_is_minimal': False, 'target_label': '2025.2.a.q.1.3', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 40808669
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007886483063009, 'target_is_minimal': False, 'target_label': '225.2.k.c.124.5', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 40808670
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 58546863908849641, 'target_is_minimal': False, 'target_label': '2025.2.b.n.649.5', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 40808671
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717818857, 'target_is_minimal': False, 'target_label': '2025.2.a.z.1.2', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 40808672
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 58546863908849641, 'target_is_minimal': False, 'target_label': '2025.2.b.n.649.4', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 40808673
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 63050463536220137, 'target_is_minimal': False, 'target_label': '2025.2.b.o.649.4', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 40808674
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007474166203043, 'target_is_minimal': False, 'target_label': '675.2.e.c.451.3', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 40808675
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 63050463536220137, 'target_is_minimal': False, 'target_label': '2025.2.b.o.649.5', 'target_level': 2025, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 40808676
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 151, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014673420943585, 'target_is_minimal': True, 'target_label': '225.2.e.e.151.2', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 40808677
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 424, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9007886483063459, 'target_is_minimal': False, 'target_label': '675.2.k.c.424.5', 'target_level': 675, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 40808678
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 76, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 9007474166202593, 'source_is_minimal': True, 'source_label': '225.2.e.c.76.3', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007886483063009, 'target_is_minimal': False, 'target_label': '225.2.k.c.124.4', 'target_level': 225, 'twist_class_label': '225.2.e.c.76.3', 'twist_class_level': 225, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 537925
{'charpoly_factorization': [[[9, -15, 37, 8, 23, 2, 8, 2, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 2}
-
id: 537926
{'charpoly_factorization': [[[81, -27, -18, 9, -3, 3, -2, -1, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 3}
-
id: 537927
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007474166202593, 'p': 5}
-
id: 537928
{'charpoly_factorization': [[[81, -216, 468, -306, 177, -36, 13, -1, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 7}
-
id: 537929
{'charpoly_factorization': [[[81, 369, 1456, 1007, 593, 107, 26, -1, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 11}
-
id: 537930
{'charpoly_factorization': [[[11449, -535, 3235, -278, 803, -50, 34, 2, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 13}
-
id: 537931
{'charpoly_factorization': [[[-303, 110, 20, -11, 1], 2]], 'hecke_orbit_code': 9007474166202593, 'p': 17}
-
id: 537932
{'charpoly_factorization': [[[-25, 80, -27, -2, 1], 2]], 'hecke_orbit_code': 9007474166202593, 'p': 19}
-
id: 537933
{'charpoly_factorization': [[[59049, 2187, 13932, 6777, 3627, 873, 168, 15, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 23}
-
id: 537934
{'charpoly_factorization': [[[16641, 18318, 15004, 5938, 1871, 244, 41, 1, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 29}
-
id: 537935
{'charpoly_factorization': [[[59049, 6561, 10935, 810, 1629, 114, 58, -4, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 31}
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id: 537936
{'charpoly_factorization': [[[-647, -503, -99, 1, 1], 2]], 'hecke_orbit_code': 9007474166202593, 'p': 37}
-
id: 537937
{'charpoly_factorization': [[[42849, -33327, 20746, -6095, 1637, -197, 50, -5, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 41}
-
id: 537938
{'charpoly_factorization': [[[452929, -394378, 311092, -41588, 8837, -692, 148, -10, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 43}
-
id: 537939
{'charpoly_factorization': [[[145161, -26670, 45667, 22730, 10430, 2000, 293, 20, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 47}
-
id: 537940
{'charpoly_factorization': [[[-471, 179, 86, -20, 1], 2]], 'hecke_orbit_code': 9007474166202593, 'p': 53}
-
id: 537941
{'charpoly_factorization': [[[5349969, 2114082, 840022, 76814, 17855, 1862, 287, 17, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 59}
-
id: 537942
{'charpoly_factorization': [[[1, -91, 8278, -299, 1193, -143, 172, -13, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 61}
-
id: 537943
{'charpoly_factorization': [[[59049, -72900, 81252, -19062, 6153, 1212, 253, 17, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 67}
-
id: 537944
{'charpoly_factorization': [[[381, -263, -40, 8, 1], 2]], 'hecke_orbit_code': 9007474166202593, 'p': 71}
-
id: 537945
{'charpoly_factorization': [[[113, -241, -96, -2, 1], 2]], 'hecke_orbit_code': 9007474166202593, 'p': 73}
-
id: 537946
{'charpoly_factorization': [[[42849, 14283, 11592, 621, 1365, 93, 82, -7, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 79}
-
id: 537947
{'charpoly_factorization': [[[531441, 688905, 683073, 228420, 53865, 6750, 612, 30, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 83}
-
id: 537948
{'charpoly_factorization': [[[2025, -405, -99, 9, 1], 2]], 'hecke_orbit_code': 9007474166202593, 'p': 89}
-
id: 537949
{'charpoly_factorization': [[[908209, -153433, 103114, -23173, 10573, -1861, 280, -19, 1], 1]], 'hecke_orbit_code': 9007474166202593, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '225.2.e.c', 'level': 225, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 117957000
{'hecke_orbit_code': 9007474166202593, 'n': 1, 'trace_an': 8}
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id: 117957001
{'hecke_orbit_code': 9007474166202593, 'n': 2, 'trace_an': -2}
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id: 117957002
{'hecke_orbit_code': 9007474166202593, 'n': 3, 'trace_an': 1}
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id: 117957003
{'hecke_orbit_code': 9007474166202593, 'n': 4, 'trace_an': -4}
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id: 117957004
{'hecke_orbit_code': 9007474166202593, 'n': 5, 'trace_an': 0}
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id: 117957005
{'hecke_orbit_code': 9007474166202593, 'n': 6, 'trace_an': 8}
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id: 117957006
{'hecke_orbit_code': 9007474166202593, 'n': 7, 'trace_an': 1}
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id: 117957007
{'hecke_orbit_code': 9007474166202593, 'n': 8, 'trace_an': 18}
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id: 117957008
{'hecke_orbit_code': 9007474166202593, 'n': 9, 'trace_an': 5}
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id: 117957009
{'hecke_orbit_code': 9007474166202593, 'n': 10, 'trace_an': 0}
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id: 117957010
{'hecke_orbit_code': 9007474166202593, 'n': 11, 'trace_an': 1}
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id: 117957011
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