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mf_newforms • Show schema
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{'Nk2': 2255, 'analytic_conductor': 1.1253916034874205, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 2255, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [2255, 2, [452, 1641, 826], [1, 1, 1]], 'cm_discs': [-2255], 'conrey_index': 2254, 'dim': 4, 'field_disc': 2000, 'field_disc_factorization': [[2, 4], [5, 3]], 'field_poly': [5, 0, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [5, 0, -5, 0, 1]], [3, [5, 0, -5, 0, 1]], [7, [0, 1]], [19, [-1, 1, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029278072080591, 'hecke_ring_generator_nbound': 2, '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, 2255, 8, -1, 2, -2255], [1, 1, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 1], [0, -1, 0, 0], [1, 0, -1, 0], [-1, 0, 0, 0], [-1, 0, -2, 0], [0, 0, 0, 0], [0, -1, 0, 1], [2, 0, 1, 0], [0, 0, 0, -1], [-1, 0, 0, 0], [0, -1, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 1, 0, 1], [0, 0, 1, 0], [-1, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [2, 0, -1, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, -1], [0, 0, 0, 0], [1, 0, 1, 0], [1, 0, 2, 0], [0, 0, 1, 0], [0, -1, 0, 1], [0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, -1], [0, 0, 0, 0], [0, 1, 0, -1], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 1, 0], [-2, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 2], [1, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [-3, 0, -1, 0], [1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 1, 0, 0], [-1, 0, -1, 0], [0, 1, 0, -1], [0, 0, 0, 0], [0, 1, 0, -1], [0, 0, 0, 0], [1, 0, -1, 0], [0, 0, 0, 0], [1, 0, 2, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 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'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 0, 1, 0], [0, 3, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, 0, 1, 0], [0, -3, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '2255.1.h.i', 'level': 2255, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 2255, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.1253916034874205, 'char_conductor': 2255, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [2255, 2, [452, 1641, 826], [1, 1, 1]], 'conrey_index': 2254, 'cusp_dim': 22, 'dihedral_dim': 22, 'dim': 22, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_orbit_code': 481053116623, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '2255.1.h', 'level': 2255, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 11, 41], 'level_radical': 2255, 'mf_dim': 26, 'mf_new_dim': 26, 'num_forms': 10, 'prim_orbit_index': 8, 'relative_dim': 22, 's4_dim': 0, 'sturm_bound': 252, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [22, 0, 0, 10, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -8, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 2, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 14, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, -6, 0, 0, 0, 12, 0, 22, 0, 0, -8, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -14, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -8, 0, 0, 22, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -6, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, 6, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -8, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -16, 0, 0, 0, -14, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, -8, 0, -6, 0, 0, 0, 0, -32, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, -16, 0, -12, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 32, 0, 0, 0, 24, 0, 0, 0, 0, -6, 22, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 4, 30, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, -8, 0, 0, -16, -6, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 2, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 16, -2, 0, 0, 0, -8, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -8, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 902185
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '2255.1.h.i', 'source_level': 2255, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '2255.1.h.i', 'target_level': 2255, 'twist_class_label': '2255.1.h.i', 'twist_class_level': 2255, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 902186
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '2255.1.h.i', 'source_level': 2255, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '2255.1.h.i', 'target_level': 2255, 'twist_class_label': '2255.1.h.i', 'twist_class_level': 2255, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 902187
{'conductor': 451, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '2255.1.h.i', 'source_level': 2255, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '2255.1.h.i', 'target_level': 2255, 'twist_class_label': '2255.1.h.i', 'twist_class_level': 2255, 'twisting_char_label': '451.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 902188
{'conductor': 2255, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -2255, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '2255.1.h.i', 'source_level': 2255, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '2255.1.h.i', 'target_level': 2255, 'twist_class_label': '2255.1.h.i', 'twist_class_level': 2255, 'twisting_char_label': '2255.h', 'twisting_char_orbit': 8, 'weight': 1}
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id: 902189
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '2255.1.h.i', 'source_level': 2255, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2255.1.h.j', 'target_level': 2255, 'twist_class_label': '2255.1.h.i', 'twist_class_level': 2255, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 902190
{'conductor': 41, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '2255.1.h.i', 'source_level': 2255, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2255.1.h.j', 'target_level': 2255, 'twist_class_label': '2255.1.h.i', 'twist_class_level': 2255, 'twisting_char_label': '41.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 902191
{'conductor': 55, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '2255.1.h.i', 'source_level': 2255, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2255.1.h.j', 'target_level': 2255, 'twist_class_label': '2255.1.h.i', 'twist_class_level': 2255, 'twisting_char_label': '55.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 902192
{'conductor': 205, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 4, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '2255.1.h.i', 'source_level': 2255, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': True, 'target_label': '2255.1.h.j', 'target_level': 2255, 'twist_class_label': '2255.1.h.i', 'twist_class_level': 2255, 'twisting_char_label': '205.c', 'twisting_char_orbit': 3, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2526550
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 36029278072080591, 'p': 2}
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id: 2526551
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 36029278072080591, 'p': 3}
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id: 2526552
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 5}
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id: 2526553
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 7}
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id: 2526554
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 11}
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id: 2526555
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 13}
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id: 2526556
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 17}
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id: 2526557
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 36029278072080591, 'p': 19}
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id: 2526558
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 23}
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id: 2526559
{'charpoly_factorization': [[[-1, -1, 1], 2]], 'hecke_orbit_code': 36029278072080591, 'p': 29}
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id: 2526560
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 36029278072080591, 'p': 31}
-
id: 2526561
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 37}
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id: 2526562
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 41}
-
id: 2526563
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 43}
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id: 2526564
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 47}
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id: 2526565
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 36029278072080591, 'p': 53}
-
id: 2526566
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 36029278072080591, 'p': 59}
-
id: 2526567
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 61}
-
id: 2526568
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 36029278072080591, 'p': 67}
-
id: 2526569
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 71}
-
id: 2526570
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 36029278072080591, 'p': 73}
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id: 2526571
{'charpoly_factorization': [[[-1, -1, 1], 2]], 'hecke_orbit_code': 36029278072080591, 'p': 79}
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id: 2526572
{'charpoly_factorization': [[[5, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 36029278072080591, 'p': 83}
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id: 2526573
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 89}
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id: 2526574
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 36029278072080591, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 9, 'label': '2255.1.h.i', 'level': 2255, 'portrait': 'data:image/png;base64,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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 52126039
{'hecke_orbit_code': 36029278072080591, 'n': 1, 'trace_an': 4}
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id: 52126040
{'hecke_orbit_code': 36029278072080591, 'n': 2, 'trace_an': 0}
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id: 52126041
{'hecke_orbit_code': 36029278072080591, 'n': 3, 'trace_an': 0}
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id: 52126042
{'hecke_orbit_code': 36029278072080591, 'n': 4, 'trace_an': 6}
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id: 52126043
{'hecke_orbit_code': 36029278072080591, 'n': 5, 'trace_an': -4}
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id: 52126044
{'hecke_orbit_code': 36029278072080591, 'n': 6, 'trace_an': 0}
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id: 52126045
{'hecke_orbit_code': 36029278072080591, 'n': 7, 'trace_an': 0}
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id: 52126046
{'hecke_orbit_code': 36029278072080591, 'n': 8, 'trace_an': 0}
-
id: 52126047
{'hecke_orbit_code': 36029278072080591, 'n': 9, 'trace_an': 6}
-
id: 52126048
{'hecke_orbit_code': 36029278072080591, 'n': 10, 'trace_an': 0}
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id: 52126049
{'hecke_orbit_code': 36029278072080591, 'n': 11, 'trace_an': -4}
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id: 52126050
{'hecke_orbit_code': 36029278072080591, 'n': 12, 'trace_an': 0}
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id: 52126051
{'hecke_orbit_code': 36029278072080591, 'n': 13, 'trace_an': 0}
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id: 52126052
{'hecke_orbit_code': 36029278072080591, 'n': 14, 'trace_an': 0}
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id: 52126053
{'hecke_orbit_code': 36029278072080591, 'n': 15, 'trace_an': 0}
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id: 52126054
{'hecke_orbit_code': 36029278072080591, 'n': 16, 'trace_an': 4}
-
id: 52126055
{'hecke_orbit_code': 36029278072080591, 'n': 17, 'trace_an': 0}
-
id: 52126056
{'hecke_orbit_code': 36029278072080591, 'n': 18, 'trace_an': 0}
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