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mf_newforms • Show schema
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{'Nk2': 1300, 'analytic_conductor': 2.5951380656916125, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 6, 'char_parity': 1, 'char_values': [325, 6, [27, 301], [6, 5]], 'cm_discs': [], 'conrey_index': 101, 'conrey_indexes': [101, 251], 'dim': 4, 'field_disc': 441, 'field_disc_factorization': [[3, 2], [7, 2]], 'field_poly': [4, -2, -1, -1, 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, [1, -3, 2, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504493014122821, 'hecke_ring_generator_nbound': 3, '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, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '325.2.n.b', 'level': 325, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'minimal_twist': '65.2.l.a', 'nf_label': '4.0.441.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-1+\\beta _{3})q^{2}+\\beta _{2}q^{3}+(\\beta _{1}+\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '325.2.n', 'trace_display': [-3, 2, 0, 6], 'trace_hash': 134013167334482884, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.938', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.168', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [-1, 0, 0, 1], [0, 0, 1, 0], [0, 1, 1, -2], [0, 0, 0, 0], [-1, 1, 0, 0], [1, 0, 1, 0], [-1, 0, 2, 0], [2, 0, -2, 0], [0, 0, 0, 0], [0, 0, 1, -2], [1, -1, 0, -1], [-1, 0, 4, 0], [-2, 1, 0, 1], [0, 0, 0, 0], [1, -2, -2, 1], [-1, 2, 3, -4], [0, -2, 0, 2], [1, 0, 1, 0], [0, 0, 0, 0], [-1, 0, 2, 0], [-3, -1, 2, 2], [-2, 4, 3, -2], [-2, 0, 1, 0], [0, 0, 0, 0], [-3, 4, 0, -1], [5, 0, 0, 0], [1, 0, 1, -3], [2, -4, -3, 2], [0, 0, 0, 0], [2, -6, -4, 6], [-4, 1, -3, 0], [1, -2, -1, 0], [-2, -3, 4, 3], [0, 0, 0, 0], [-2, 4, 2, -2], [0, 0, -3, 6], [-2, 1, 0, 1], [-4, 0, 3, 0], [0, 0, 0, 0], [0, 0, -1, 2], [-1, 2, 0, -1], [7, -2, -9, 4], [3, 1, -6, -1], [0, 0, 0, 0], [5, -3, 2, 0], [0, -4, 0, 4], [1, -1, -2, 2], [0, 0, -4, 0], [0, 0, 0, 0], [1, -2, 0, -2], [4, -5, -1, -2], [-2, -2, 0, -2], [-5, 0, 0, 5], [0, 0, 0, 0], [-3, 0, 3, 0], [-1, 0, 2, 0], [-5, 3, -2, 0], [3, 4, 7, 0], [0, 0, 0, 0], [5, 2, -3, -4], [-4, 8, -6, -4], [4, 0, -2, 0], [9, -2, 0, -2], [0, 0, 0, 0], [-4, 1, 0, 1], [8, 0, -1, -6], [-1, 2, -9, -1], [-1, 2, 3, -4], [0, 0, 0, 0], [-1, 4, 3, 0], [2, 0, 2, 0], [0, 0, 0, 0], [9, 3, -6, -6], [0, 0, 0, 0], [1, 0, 1, -3], [1, -2, 0, -2], [1, 3, 0, -4], [-6, 0, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [3, 1, -2, -2], [4, 2, -8, -2], [2, -3, -1, 0], [0, 0, 0, 0], [2, -3, -4, 3], [1, -2, -3, 4], [2, -4, -3, 2], [-8, 0, 5, -2], [0, 0, 0, 0], [-5, 0, 7, 0], [-11, 1, 0, 1], [-2, 0, -2, 6], [-4, 8, -4, -4], [0, 0, 0, 0], [3, 1, -6, -1], [-1, 6, 5, 0], [4, -4, 0, 0], [-2, 4, 4, -4], [0, 0, 0, 0]], 'ap': [[-1, 0, 0, 1], [0, 0, 1, 0], [0, 0, 0, 0], [1, 0, 1, 0], [0, 0, 1, -2], [-1, 0, 4, 0], [-1, 2, 3, -4], [1, 0, 1, 0], [-2, 4, 3, -2], [2, -4, -3, 2], [2, -6, -4, 6], [0, 0, -3, 6], [0, 0, -1, 2], [7, -2, -9, 4], [0, -4, 0, 4], [-2, -2, 0, -2], [3, 4, 7, 0], [5, 2, -3, -4], [8, 0, -1, -6], [-1, 4, 3, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [4, 2, -8, -2], [-8, 0, 5, -2], [-1, 6, 5, 0], [0, 0, -9, 0], [8, -4, 0, -4], [2, -4, -9, 2], [6, -6, -12, 6], [-11, -2, 9, 4], [-6, 12, 13, -6], [-2, -2, 0, -2], [-1, -4, -5, 0], [11, -6, -17, 12], [-3, 10, 7, 0], [-4, 6, 8, -6], [2, -4, 0, -4], [-3, 12, 9, 0], [-8, 0, 5, -2], [-13, 2, 15, -4], [4, -8, -15, 4], [-8, 6, 0, 6], [13, -2, -15, 4], [-8, 0, 7, -6], [-20, 0, 9, 2], [-7, 2, 9, -4], [-4, 8, -3, -4], [10, 0, -5, 0], [-3, 2, -1, 0], [-12, 12, 24, -12], [-14, 4, 0, 4], [2, 8, -4, -8], [-1, 0, -1, 0], [-7, -4, 3, 8], [4, -8, -15, 4], [0, 0, 9, 0], [15, 0, -15, 0], [10, 0, -5, 0], [-11, -2, 9, 4], [0, -8, 0, 8], [6, -12, -23, 6], [-13, 2, -11, 0], [14, 0, -28, 0], [2, 2, 0, 2], [20, -6, 0, -6], [2, 8, -4, -8], [5, -6, -1, 0], [-14, -6, 0, -6], [-7, 8, 15, -16], [-12, 0, 3, 6], [-14, 0, 5, 4], [6, -20, -12, 20], [6, -12, 3, 6], [-13, 0, 13, 0], [-6, 0, -3, 12], [1, 10, 11, 0], [8, -4, 0, -4], [-11, 18, 7, 0], [-10, 0, 13, -16], [-5, 0, -5, 0], [4, -8, 9, 4], [0, -12, 0, 12], [22, 0, -7, -8], [-1, -6, -5, 12], [-12, 24, 5, -12], [8, -10, 0, -10], [-19, 10, -9, 0], [2, 0, -1, 0], [3, 14, 17, 0], [-18, 18, 36, -18], [2, 8, 0, 8], [16, 0, -1, -14], [9, -12, -3, 0], [-2, 4, -21, -2], [-2, -6, 4, 6], [-7, -4, 3, 8], [22, 0, -7, -8], [-6, 12, 0, 12], [-4, 8, -3, -4], [-6, 0, 12, 0], [-12, -6, 0, -6], [12, 0, -5, -2], [-9, 0, 9, 0], [6, -12, -3, 6], [4, -14, 0, -14], [-4, 0, 8, 0], [12, 0, -17, 22], [8, -16, -16, 16], [-18, 12, 0, 12], [10, -20, -9, 10], [-3, -6, -3, 12], [16, 0, -5, -6], [3, 4, 7, 0], [14, -12, -28, 12], [-11, 6, -5, 0], [-11, 4, 15, -8], [-5, -6, -11, 0], [0, 0, 27, 0], [20, -40, -27, 20], [-9, 12, 21, -24], [12, 0, -9, 6], [4, -8, -21, 4], [14, -4, 0, -4], [9, 8, 17, 0], [32, 0, -13, -6], [-10, -4, 0, -4], [-21, 0, -21, 0], [3, -12, -15, 24], [32, -6, 0, -6], [-10, 12, 20, -12], [38, 0, -13, -12], [-28, 0, 7, 14], [6, -12, -7, 6], [-6, 12, 5, -6], [-23, 2, -21, 0], [18, 0, -9, 0], [-19, 4, -15, 0], [-17, 6, -11, 0], [19, -14, -33, 28], [-20, 40, 39, -20], [-26, 12, 52, -12], [24, 0, -11, -2], [-35, -2, 33, 4], [2, -16, -4, 16], [-8, 16, 27, -8], [-5, -16, -21, 0], [8, 18, -16, -18], [-12, 6, 0, 6], [6, -18, 0, -18], [-10, -8, 20, 8], [-3, 6, 3, 0], [12, -24, -27, 12], [14, -18, 0, -18], [-12, 24, 45, -12], [-6, 12, -11, -6], [20, -10, 0, -10], [-47, 4, 51, -8], [5, -16, -11, 0], [2, -12, 0, -12], [-10, 20, 20, -20], [-14, 0, -3, 20], [17, 14, -3, -28], [-20, 6, 40, -6], [-3, -12, -9, 24], [2, 0, 13, -28], [-26, 22, 52, -22], [0, 0, 13, 0], [-7, -4, 3, 8]], 'char_orbit_index': 14, 'field_poly': [4, -2, -1, -1, 1], 'hecke_orbit_code': 4504493014122821, 'hecke_ring_character_values': [[27, [1, 0, 0, 0]], [301, [1, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 1], [2, 1, 1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-2, -1, 1, 1], [2, 1, 1, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '325.2.n.b', 'level': 325, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1300, 'analytic_conductor': 2.5951380656916125, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 6, 'char_parity': 1, 'char_values': [325, 6, [27, 301], [6, 5]], 'conrey_index': 101, 'cusp_dim': 60, 'dim': 38, 'eis_dim': 24, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 893386752325, 'hecke_orbit_dims': [2, 4, 4, 8, 10, 10], 'label': '325.2.n', 'level': 325, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'mf_dim': 84, 'mf_new_dim': 50, 'num_forms': 6, 'prim_orbit_index': 5, 'relative_dim': 19, 'sturm_bound': 70, 'trace_bound': 3, 'trace_display': [3, 0, 0, 6], 'traces': [38, 3, 0, 17, 0, 0, 6, 0, -13, 0, -18, -16, 5, -24, 0, -23, -1, 0, 18, 0, 0, 12, 4, 54, 0, -39, 12, 18, 3, 0, 0, 3, -42, 0, 0, 11, -21, 4, 10, 0, 27, -4, 10, 0, 0, 60, 0, -38, -13, 0, 12, 4, 30, -18, 0, 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'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 250775
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.l.a', 'target_level': 65, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 250776
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '65.2.l.a', 'target_level': 65, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 250777
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '325.2.n.b', 'target_level': 325, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 250778
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '325.2.n.b', 'target_level': 325, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 250779
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '325.2.n.c', 'target_level': 325, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 250780
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '325.2.n.c', 'target_level': 325, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 250781
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '585.2.bf.a', 'target_level': 585, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 250782
{'conductor': 195, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 32, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '585.2.bf.a', 'target_level': 585, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '195.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 250783
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.b.f', 'target_level': 845, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 250784
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 2, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.b.f', 'target_level': 845, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 250785
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.d.c', 'target_level': 845, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 250786
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.d.c', 'target_level': 845, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 250787
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.l.c', 'target_level': 845, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 250788
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.l.c', 'target_level': 845, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 250789
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.n.c', 'target_level': 845, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 250790
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.n.c', 'target_level': 845, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 250791
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '845.2.n.d', 'target_level': 845, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 250792
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '845.2.n.d', 'target_level': 845, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 250793
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 84, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1040.2.df.b', 'target_level': 1040, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 250794
{'conductor': 260, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 84, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1040.2.df.b', 'target_level': 1040, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '260.bg', 'twisting_char_orbit': 33, 'weight': 2}
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id: 250795
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '4225.2.a.bj', 'target_level': 4225, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 250796
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '325.2.n.b', 'source_level': 325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '4225.2.a.bk', 'target_level': 4225, 'twist_class_label': '65.2.l.a', 'twist_class_level': 65, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 713825
{'charpoly_factorization': [[[1, -3, 2, 3, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 2}
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id: 713826
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 4504493014122821, 'p': 3}
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id: 713827
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504493014122821, 'p': 5}
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id: 713828
{'charpoly_factorization': [[[3, -3, 1], 2]], 'hecke_orbit_code': 4504493014122821, 'p': 7}
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id: 713829
{'charpoly_factorization': [[[49, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 11}
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id: 713830
{'charpoly_factorization': [[[13, -2, 1], 2]], 'hecke_orbit_code': 4504493014122821, 'p': 13}
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id: 713831
{'charpoly_factorization': [[[441, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 17}
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id: 713832
{'charpoly_factorization': [[[3, -3, 1], 2]], 'hecke_orbit_code': 4504493014122821, 'p': 19}
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id: 713833
{'charpoly_factorization': [[[441, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 23}
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id: 713834
{'charpoly_factorization': [[[441, 0, 21, 0, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 29}
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id: 713835
{'charpoly_factorization': [[[3600, 0, 132, 0, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 31}
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id: 713836
{'charpoly_factorization': [[[3969, 0, -63, 0, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 37}
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id: 713837
{'charpoly_factorization': [[[49, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 41}
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id: 713838
{'charpoly_factorization': [[[225, -180, 129, -12, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 43}
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id: 713839
{'charpoly_factorization': [[[256, 0, 80, 0, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 47}
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id: 713840
{'charpoly_factorization': [[[-12, 6, 1], 2]], 'hecke_orbit_code': 4504493014122821, 'p': 53}
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id: 713841
{'charpoly_factorization': [[[2209, -1410, 347, -30, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 59}
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id: 713842
{'charpoly_factorization': [[[225, -180, 129, -12, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 61}
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id: 713843
{'charpoly_factorization': [[[225, 360, 177, -24, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 67}
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id: 713844
{'charpoly_factorization': [[[625, 150, -13, -6, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 71}
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id: 713845
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504493014122821, 'p': 73}
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id: 713846
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 4504493014122821, 'p': 79}
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id: 713847
{'charpoly_factorization': [[[4624, 0, 164, 0, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 83}
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id: 713848
{'charpoly_factorization': [[[1681, 984, 233, 24, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 89}
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id: 713849
{'charpoly_factorization': [[[2601, 612, -3, -12, 1], 1]], 'hecke_orbit_code': 4504493014122821, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 14, 'hecke_orbit': 2, 'label': '325.2.n.b', 'level': 325, '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: 93443000
{'hecke_orbit_code': 4504493014122821, 'n': 1, 'trace_an': 4}
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id: 93443001
{'hecke_orbit_code': 4504493014122821, 'n': 2, 'trace_an': -3}
-
id: 93443002
{'hecke_orbit_code': 4504493014122821, 'n': 3, 'trace_an': 2}
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id: 93443003
{'hecke_orbit_code': 4504493014122821, 'n': 4, 'trace_an': 1}
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id: 93443004
{'hecke_orbit_code': 4504493014122821, 'n': 5, 'trace_an': 0}
-
id: 93443005
{'hecke_orbit_code': 4504493014122821, 'n': 6, 'trace_an': -3}
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id: 93443006
{'hecke_orbit_code': 4504493014122821, 'n': 7, 'trace_an': 6}
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id: 93443007
{'hecke_orbit_code': 4504493014122821, 'n': 8, 'trace_an': 0}
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id: 93443008
{'hecke_orbit_code': 4504493014122821, 'n': 9, 'trace_an': 4}
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id: 93443009
{'hecke_orbit_code': 4504493014122821, 'n': 10, 'trace_an': 0}
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id: 93443010
{'hecke_orbit_code': 4504493014122821, 'n': 11, 'trace_an': 0}
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id: 93443011
{'hecke_orbit_code': 4504493014122821, 'n': 12, 'trace_an': 2}
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id: 93443012
{'hecke_orbit_code': 4504493014122821, 'n': 13, 'trace_an': 4}
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id: 93443013
{'hecke_orbit_code': 4504493014122821, 'n': 14, 'trace_an': -6}
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id: 93443014
{'hecke_orbit_code': 4504493014122821, 'n': 15, 'trace_an': 0}
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id: 93443015
{'hecke_orbit_code': 4504493014122821, 'n': 16, 'trace_an': -1}
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id: 93443016
{'hecke_orbit_code': 4504493014122821, 'n': 17, 'trace_an': 0}
-
id: 93443017
{'hecke_orbit_code': 4504493014122821, 'n': 18, 'trace_an': 0}
-
id: 93443018
{'hecke_orbit_code': 4504493014122821, 'n': 19, 'trace_an': 6}
-
id: 93443019
{'hecke_orbit_code': 4504493014122821, 'n': 20, 'trace_an': 0}
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id: 93443020
{'hecke_orbit_code': 4504493014122821, 'n': 21, 'trace_an': 0}
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id: 93443021
{'hecke_orbit_code': 4504493014122821, 'n': 22, 'trace_an': -7}
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id: 93443022
{'hecke_orbit_code': 4504493014122821, 'n': 23, 'trace_an': 0}
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id: 93443023
{'hecke_orbit_code': 4504493014122821, 'n': 24, 'trace_an': -6}
-
id: 93443024
{'hecke_orbit_code': 4504493014122821, 'n': 25, 'trace_an': 0}
-
id: 93443025
{'hecke_orbit_code': 4504493014122821, 'n': 26, 'trace_an': -9}
-
id: 93443026
{'hecke_orbit_code': 4504493014122821, 'n': 27, 'trace_an': 20}
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id: 93443027
{'hecke_orbit_code': 4504493014122821, 'n': 28, 'trace_an': 3}
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id: 93443028
{'hecke_orbit_code': 4504493014122821, 'n': 29, 'trace_an': 0}
-
id: 93443029
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