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mf_newforms • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'cm_discs': [], 'conrey_index': 148, 'conrey_indexes': [148, 323, 372, 729], 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [0, 1]], [3, [1, 1, 1, 1, 1]], [13, [256, -64, 16, -4, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518341767791439, 'hecke_ring_generator_nbound': 3, '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, 3, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '847.2.f.f', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'minimal_twist': '77.2.a.b', 'nf_label': '4.0.125.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{10}^{2}q^{3}+2\\zeta_{10}^{3}q^{4}-3\\zeta_{10}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '847.2.f', 'trace_display': [0, -1, -3, -1], 'trace_hash': 2094193807009584154, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.226', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.926', 'prec': 17}, {'__RealLiteral__': 0, 'data': '118.951', 'prec': 24}, {'__RealLiteral__': 0, 'data': '59.376', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 2], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [2, -2, 2, -2], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, 0], [4, -4, 4, -4], [0, 0, 0, 0], [0, 0, 0, -3], [0, -4, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [0, 0, 2, 0], [6, -6, 6, -6], [1, 0, 0, 0], [0, 0, 0, 0], [3, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 5, 0, 0], [0, 2, 0, 0], [0, 0, 0, 6], [0, 0, 0, 0], [-5, 5, -5, 5], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-3, 3, -3, 3], [0, 0, 4, 0], [0, 0, 0, -11], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [0, 0, 6, 0], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -4], [0, -1, 0, 0], [0, 0, 0, 0], [0, 0, 0, 6], [0, 0, 8, 0], [6, -6, 6, -6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 2, -2, 2], [0, 0, 0, 0], [0, 0, 0, 9], [0, 6, 0, 0], [0, 10, 0, 0], [0, 0, 0, 0], [0, 0, -2, 0], [8, -8, 8, -8], [-12, 0, 0, 0], [0, 0, 0, 0], [5, 0, 0, 0], [-12, 12, -12, 12], [0, 0, 3, 0], [0, 0, 0, 0], [0, -9, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [-4, 4, -4, 4], [-4, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [10, -10, 10, -10], [0, 0, 12, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, -12, 0, 0], [0, 0, 0, 2], [0, 0, -18, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 0, 0], [0, 0, -4, 0], [0, 0, 0, 6], [0, -5, 0, 0], [0, 0, 0, 0], [0, 0, 0, -6], [0, 0, 0, 0], [1, -1, 1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [-8, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 1, 0], [0, -3, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [4, -4, 4, -4], [0, 6, 0, 0], [0, 0, 2, 0], [3, 0, 0, 0], [0, 0, 0, 6], [-5, 5, -5, 5], [0, 0, 0, -11], [0, 0, 6, 0], [8, 0, 0, 0], [0, 0, 0, 0], [6, -6, 6, -6], [0, 0, 0, 9], [0, 10, 0, 0], [5, 0, 0, 0], [0, -9, 0, 0], [0, 0, 0, -2], [10, -10, 10, -10], [0, -12, 0, 0], [-3, 0, 0, 0], [1, -1, 1, -1], [12, -12, 12, -12], [0, 0, 0, 4], [0, 0, 6, 0], [20, 0, 0, 0], [0, 0, -3, 0], [0, -2, 0, 0], [-6, 0, 0, 0], [0, 3, 0, 0], [0, 0, 0, -14], [0, 6, 0, 0], [0, 0, -10, 0], [0, 0, -13, 0], [-20, 20, -20, 20], [-6, 6, -6, 6], [0, 0, 0, 0], [0, 0, -15, 0], [0, 7, 0, 0], [0, 0, 0, 27], [0, -14, 0, 0], [18, 0, 0, 0], [-16, 0, 0, 0], [-14, 14, -14, 14], [0, 0, -19, 0], [0, 0, 0, 12], [-5, 5, -5, 5], [-6, 6, -6, 6], [0, 0, -12, 0], [-28, 0, 0, 0], [9, -9, 9, -9], [0, 0, 0, 6], [-30, 0, 0, 0], [0, -30, 0, 0], [0, 0, 0, 16], [-8, 8, -8, 8], [0, -12, 0, 0], [0, 0, 32, 0], [0, 0, 0, 30], [20, 0, 0, 0], [0, 0, 0, 0], [0, 19, 0, 0], [-9, 9, -9, 9], [-1, 0, 0, 0], [0, 0, 0, -14], [0, 18, 0, 0], [0, 0, -10, 0], [-3, 0, 0, 0], [0, 0, 0, -24], [0, 0, 0, -17], [-4, 0, 0, 0], [0, -11, 0, 0], [-21, 21, -21, 21], [0, 0, 0, -33], [2, 0, 0, 0], [0, 6, 0, 0], [-14, 14, -14, 14], [24, 0, 0, 0], [0, 0, -10, 0], [-12, 12, -12, 12], [0, 0, 0, -11], [26, 0, 0, 0], [0, 0, 9, 0], [9, -9, 9, -9], [0, -8, 0, 0], [-6, 0, 0, 0], [5, 0, 0, 0], [0, -15, 0, 0], [0, 12, 0, 0], [0, 0, 11, 0], [0, 0, 0, 30], [0, 0, 0, 4], [0, 0, 0, 0], [0, 0, 21, 0], [0, 0, 0, -3], [0, 16, 0, 0], [16, -16, 16, -16], [0, 0, 8, 0], [0, 0, 0, -30], [-36, 36, -36, 36], [0, 0, -18, 0], [-4, 0, 0, 0], [0, -11, 0, 0], [0, 0, 0, -12], [6, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -8], [-14, 14, -14, 14], [0, 0, -16, 0], [-30, 0, 0, 0], [0, 0, -19, 0], [0, 0, 0, -11], [0, 0, 15, 0], [0, 49, 0, 0], [33, -33, 33, -33], [0, 0, 0, -39], [30, 0, 0, 0], [-49, 0, 0, 0], [28, -28, 28, -28], [0, 18, 0, 0], [12, 0, 0, 0], [-35, 35, -35, 35], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 39], [17, 0, 0, 0], [0, 0, 0, 4], [34, -34, 34, -34], [0, -24, 0, 0], [0, 0, -31, 0], [-38, 38, -38, 38], [-48, 48, -48, 48], [-40, 0, 0, 0], [0, 0, -6, 0], [0, -50, 0, 0], [0, 21, 0, 0], [0, -30, 0, 0], [0, 0, 2, 0], [0, 0, 0, -18], [-23, 23, -23, 23], [-36, 36, -36, 36], [0, 0, 0, 25], [0, 0, -15, 0], [0, 10, 0, 0], [-12, 0, 0, 0], [-13, 0, 0, 0], [0, 12, 0, 0], [0, 0, -22, 0], [-9, 0, 0, 0], [0, 0, 20, 0], [0, 0, 0, 42], [0, -8, 0, 0], [-48, 48, -48, 48], [0, 16, 0, 0], [0, -18, 0, 0], [-20, 20, -20, 20], [0, -18, 0, 0], [-27, 0, 0, 0], [0, 0, 0, 36], [14, 0, 0, 0], [0, 0, -39, 0], [-9, 9, -9, 9], [0, 0, 0, -33], [-16, 0, 0, 0], [0, 0, 0, 28]], 'char_orbit_index': 6, 'field_poly': [1, -1, 1, -1, 1], 'hecke_orbit_code': 22518341767791439, 'hecke_ring_character_values': [[122, [1, 0, 0, 0]], [365, [0, 0, 0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '847.2.f.f', 'level': 847, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'conrey_index': 148, 'cusp_dim': 304, 'dim': 216, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 13], 'hecke_orbit_code': 343630938959, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 12, 12, 16, 16, 16, 24, 24], 'label': '847.2.f', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 400, 'mf_new_dim': 216, 'num_forms': 26, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 176, 'trace_bound': 7, 'trace_display': [4, 8, 4, 2], 'traces': [216, 4, 8, -52, 4, -6, 2, 2, -44, 16, 0, -36, 2, -3, 22, -74, 16, -15, -10, -14, -12, 0, -40, 14, -66, 10, 26, -11, 6, -12, 28, 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mf_twists_nf • Show schema
Hide schema
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id: 534382
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '77.2.a.b', 'target_level': 77, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534383
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '539.2.a.b', 'target_level': 539, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '77.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 534384
{'conductor': 77, 'degree': 8, 'multiplicity': 2, 'order': 15, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '539.2.e.d', 'target_level': 539, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '77.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 534385
{'conductor': 77, 'degree': 8, 'multiplicity': 2, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '539.2.e.e', 'target_level': 539, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '77.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 534386
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '693.2.a.b', 'target_level': 693, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 534387
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '847.2.a.c', 'target_level': 847, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534388
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '847.2.f.f', 'target_level': 847, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 534389
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '847.2.f.f', 'target_level': 847, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534390
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '847.2.f.g', 'target_level': 847, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 534391
{'conductor': 11, 'degree': 4, 'multiplicity': 3, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '847.2.f.g', 'target_level': 847, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534392
{'conductor': 44, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1232.2.a.d', 'target_level': 1232, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '44.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 534393
{'conductor': 55, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1925.2.a.f', 'target_level': 1925, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '55.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 534394
{'conductor': 55, 'degree': 8, 'multiplicity': 2, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1925.2.b.g', 'target_level': 1925, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '55.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 534395
{'conductor': 231, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '4851.2.a.k', 'target_level': 4851, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '231.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 534396
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4928.2.a.i', 'target_level': 4928, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '88.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 534397
{'conductor': 88, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '4928.2.a.x', 'target_level': 4928, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '88.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 534398
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '5929.2.a.d', 'target_level': 5929, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '77.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 534399
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '7623.2.a.i', 'target_level': 7623, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 534400
{'conductor': 308, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '847.2.f.f', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '8624.2.a.s', 'target_level': 8624, 'twist_class_label': '77.2.a.b', 'twist_class_level': 77, 'twisting_char_label': '308.t', 'twisting_char_orbit': 20, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1404450
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518341767791439, 'p': 2}
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id: 1404451
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 3}
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id: 1404452
{'charpoly_factorization': [[[81, 27, 9, 3, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 5}
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id: 1404453
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 7}
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id: 1404454
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518341767791439, 'p': 11}
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id: 1404455
{'charpoly_factorization': [[[256, -64, 16, -4, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 13}
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id: 1404456
{'charpoly_factorization': [[[1296, -216, 36, -6, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 17}
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id: 1404457
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 19}
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id: 1404458
{'charpoly_factorization': [[[-3, 1], 4]], 'hecke_orbit_code': 22518341767791439, 'p': 23}
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id: 1404459
{'charpoly_factorization': [[[1296, -216, 36, -6, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 29}
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id: 1404460
{'charpoly_factorization': [[[625, 125, 25, 5, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 31}
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id: 1404461
{'charpoly_factorization': [[[14641, 1331, 121, 11, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 37}
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id: 1404462
{'charpoly_factorization': [[[1296, 216, 36, 6, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 41}
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id: 1404463
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 22518341767791439, 'p': 43}
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id: 1404464
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 22518341767791439, 'p': 47}
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id: 1404465
{'charpoly_factorization': [[[1296, -216, 36, -6, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 53}
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id: 1404466
{'charpoly_factorization': [[[6561, -729, 81, -9, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 59}
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id: 1404467
{'charpoly_factorization': [[[10000, -1000, 100, -10, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 61}
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id: 1404468
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 22518341767791439, 'p': 67}
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id: 1404469
{'charpoly_factorization': [[[6561, 729, 81, 9, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 71}
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id: 1404470
{'charpoly_factorization': [[[16, 8, 4, 2, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 73}
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id: 1404471
{'charpoly_factorization': [[[10000, -1000, 100, -10, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 79}
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id: 1404472
{'charpoly_factorization': [[[20736, 1728, 144, 12, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 83}
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id: 1404473
{'charpoly_factorization': [[[3, 1], 4]], 'hecke_orbit_code': 22518341767791439, 'p': 89}
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id: 1404474
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 22518341767791439, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 6, 'label': '847.2.f.f', 'level': 847, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 172138000
{'hecke_orbit_code': 22518341767791439, 'n': 1, 'trace_an': 4}
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id: 172138001
{'hecke_orbit_code': 22518341767791439, 'n': 2, 'trace_an': 0}
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id: 172138002
{'hecke_orbit_code': 22518341767791439, 'n': 3, 'trace_an': -1}
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id: 172138003
{'hecke_orbit_code': 22518341767791439, 'n': 4, 'trace_an': 2}
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id: 172138004
{'hecke_orbit_code': 22518341767791439, 'n': 5, 'trace_an': -3}
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id: 172138005
{'hecke_orbit_code': 22518341767791439, 'n': 6, 'trace_an': 0}
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id: 172138006
{'hecke_orbit_code': 22518341767791439, 'n': 7, 'trace_an': -1}
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id: 172138007
{'hecke_orbit_code': 22518341767791439, 'n': 8, 'trace_an': 0}
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id: 172138008
{'hecke_orbit_code': 22518341767791439, 'n': 9, 'trace_an': 2}
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id: 172138009
{'hecke_orbit_code': 22518341767791439, 'n': 10, 'trace_an': 0}
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id: 172138010
{'hecke_orbit_code': 22518341767791439, 'n': 11, 'trace_an': 0}
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id: 172138011
{'hecke_orbit_code': 22518341767791439, 'n': 12, 'trace_an': -8}
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id: 172138012
{'hecke_orbit_code': 22518341767791439, 'n': 13, 'trace_an': 4}
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id: 172138013
{'hecke_orbit_code': 22518341767791439, 'n': 14, 'trace_an': 0}
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id: 172138014
{'hecke_orbit_code': 22518341767791439, 'n': 15, 'trace_an': -3}
-
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id: 172138993
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id: 172138997
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id: 172138998
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id: 172138999
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