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mf_newforms • Show schema
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{'Nk2': 448, 'analytic_conductor': 0.8943245026383403, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 112, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 12, 'char_parity': 1, 'char_values': [112, 12, [15, 85, 17], [12, 3, 4]], 'cm_discs': [], 'conrey_index': 37, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 2, 5, 4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1511862042736, '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, 112, 23, 1, 12, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '112.2.w.a', 'level': 112, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '112.2.w.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 23, 'qexp_display': 'q+(\\zeta_{12}-\\zeta_{12}^{2}-\\zeta_{12}^{3})q^{2}+(-1-\\zeta_{12}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '112.2.w', 'trace_display': [-2, -4, -6, 0], 'trace_hash': 423271149686969615, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.959', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.866', 'prec': 17}, {'__RealLiteral__': 0, 'data': '46.178', 'prec': 20}, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0], [0, 1, -1, -1], [-1, -1, 0, 0], [0, -2, 0, 0], [-2, -2, 1, 1], [-1, -1, 1, 2], [0, 2, 0, -3], [-2, 0, 0, 2], [1, -1, 1, 0], [-1, 0, 2, 3], [3, -1, -2, -2], [0, 2, 2, 0], [1, -2, 2, -1], [2, -3, -3, 1], [3, 4, 0, -2], [0, 0, 4, 0], [0, 2, -3, 2], [0, 2, -2, 0], [-1, 1, -2, -3], [2, 4, 2, -2], [-3, -2, 1, 3], [-3, -1, -3, 0], [-2, 1, -2, 0], [4, 2, -2, -2], [6, 1, -3, -1], [0, 2, -4, 2], [-1, 3, 3, -1], [-6, 0, 2, 0], [-3, -2, 2, 3], [4, 1, -5, -5], [0, 1, -2, 1], [4, 4, -4, 0], [-5, -2, 5, 4], [-1, -1, 5, -4], [-5, -1, 4, 5], [0, -2, 2, -2], [6, 6, -1, -5], [-1, -6, 0, 3], [-2, 1, 1, -1], [6, 2, -6, -4], [4, 0, -8, -2], [-1, 1, 5, 2], [5, -4, -4, 5], [-4, -6, 6, 4], [-2, -1, 1, -1], [-1, -4, 4, 1], [-6, -1, 6, 2], [0, 0, -4, -4], [3, 0, -8, 0], [-2, 2, -4, -6], [2, -2, -1, 1], [-2, -2, 6, -4], [-3, -4, 7, 7], [6, 1, -3, -1], [-5, 0, 10, 6], [2, -4, 4, 6], [-2, 0, 4, 5], [0, 2, 4, 2], [9, -5, -4, -4], [-4, -6, -4, 0], [-4, 4, 1, -3], [-1, -1, 3, -2], [-3, 5, 1, -4], [0, 0, 0, -8], [-3, 1, 3, -2], [3, 4, 4, 3], [-1, -5, -4, 4], [4, 0, -8, 6], [2, 1, 1, 2], [3, 4, 6, 1], [2, 0, -4, -4], [0, 0, -4, 4], [-6, 2, 3, -2], [5, 0, -10, -7], [-7, -7, 3, 4], [-6, 2, 4, 4], [-5, 0, -3, -7], [2, -2, 0, 2], [8, -5, -8, 10], [-4, -4, -4, -4], [0, -5, -2, -5], [-8, -6, 2, -2], [7, 4, -4, -7], [6, 6, -2, -2], [3, -3, -3, 3], [-8, 6, 4, -6], [6, 5, -3, -5], [0, 6, 2, 6], [3, 0, 3, 0], [0, -2, 0, 4], [-7, 8, 0, -5], [0, 4, -2, 4], [1, -1, 0, 1], [5, 2, 2, 5], [0, 5, 6, 5], [-4, -8, 0, 4], [4, 8, 0, -4], [-8, -5, 5, -3], [3, -2, 2, -3], [-2, -12, 0, 6]], 'ap': [[0, 1, -1, -1], [-1, -1, 0, 0], [-2, -2, 1, 1], [0, 2, 0, -3], [3, -1, -2, -2], [1, -2, 2, -1], [0, 2, -3, 2], [-1, 1, -2, -3], [-2, 1, -2, 0], [-3, -2, 2, 3], [0, 1, -2, 1], [6, 6, -1, -5], [4, 0, -8, -2], [5, -4, -4, 5], [-6, -1, 6, 2], [-3, -4, 7, 7], [9, -5, -4, -4], [-4, 4, 1, -3], [-1, -5, -4, 4], [2, 0, -4, -4], [-6, 2, 3, -2], [8, -5, -8, 10], [7, 4, -4, -7], [3, 0, 3, 0], [4, 8, 0, -4], [-5, 12, -7, -7], [2, -3, 2, 0], [1, 1, -2, 1], [7, 8, 1, -1], [2, 4, 0, -2], [6, -4, 0, 2], [3, -3, 4, 7], [-18, 2, 9, -2], [-9, 8, 8, -9], [4, 4, 3, -7], [-12, 1, 6, -1], [1, -12, -13, 13], [-7, 7, 2, -5], [8, 0, -16, 8], [-2, 2, 3, 1], [-7, -3, 4, -4], [9, -12, -12, 9], [0, 5, 0, -10], [0, 0, 23, 0], [-13, 10, 10, -13], [8, -5, -4, 5], [-5, 8, -8, 5], [-4, -16, 0, 8], [5, 15, 10, -10], [-8, -8, -5, 13], [3, 6, 3, 0], [-12, -4, 0, 2], [0, 4, -7, 4], [-11, 18, 18, -11], [9, -6, -9, 12], [12, 15, -6, -15], [5, 14, 9, -9], [0, 7, 0, -14], [9, 0, -9, -9], [4, 0, -8, -6], [-1, -11, 12, 12], [-5, 8, 8, -5], [9, 0, 0, -9], [-4, 3, 2, -3], [9, -6, 9, 0], [10, -10, -9, 1], [-13, -13, 14, -1], [-20, -16, 0, 8], [17, -11, -6, -6], [-13, -14, 14, 13], [0, -12, 7, -12], [2, -1, 2, 0], [0, 7, 6, 7], [2, 2, -1, -1], [-5, -14, -14, -5], [20, -3, -20, 6], [-1, 16, -15, -15], [-14, 14, 1, -13], [15, 0, -15, 0], [10, 0, -5, 0], [-19, 0, 0, 19], [5, -10, -10, 5], [0, 5, -22, 5], [-2, 36, 0, -18], [2, 11, 2, 0], [-9, -9, 8, 1], [-6, 20, 0, -10], [3, 24, 3, 0], [5, -10, 10, -5], [16, 16, 0, -8], [15, -15, -4, 11], [0, 9, 0, 9], [-20, -5, 10, 5], [3, 18, 18, 3], [-15, 15, 6, -9], [8, 0, -16, 18], [-8, 8, 11, 3], [34, 14, -17, -14], [-25, -25, 24, 1], [-2, 2, -11, -13], [7, 22, -22, -7], [-5, -2, 3, -3], [-17, -25, -8, 8], [-7, -18, -7, 0], [7, -17, 10, 10], [0, 14, 11, 14], [19, -8, -8, 19], [1, -6, -1, 12], [-28, -5, 14, 5], [0, 0, 0, -10], [2, 11, -2, -22], [-13, 2, 11, 11], [2, 0, -4, -4], [-19, 7, 12, 12], [-14, 0, 28, -8], [0, 8, 25, 8], [11, 12, -12, -11], [-40, 1, 20, -1], [22, -22, -17, 5], [-3, -16, 16, 3], [17, -10, -7, -7], [20, -24, 0, 12], [22, 22, 17, -39], [-1, 33, -32, -32], [-15, 15, 10, -5], [3, 12, -12, -3], [2, 2, -25, 23], [-16, -9, 16, 18], [10, 0, -20, 24], [12, -12, 21, 33], [5, 35, 30, -30], [-4, 0, 8, 18], [6, 11, -6, -22], [-15, 10, 10, -15], [-9, -2, -9, 0], [-4, -16, 0, 8], [11, -4, -7, -7], [-1, -11, -10, 10], [-27, -10, 10, 27], [30, -8, -15, 8], [17, -20, -20, 17], [10, 10, -3, -7], [28, 7, -14, -7], [5, 24, 24, 5], [-13, -20, -7, 7], [-16, 0, 32, 10], [-17, -14, -14, -17], [-2, 12, 1, -12], [25, 25, -14, -11], [24, -5, -24, 10], [-22, 22, 21, -1], [50, 0, 0, 0], [-5, 0, 0, 5], [4, -39, 4, 0], [-7, 17, -10, -10], [-10, -20, 0, 10], [10, -1, 10, 0], [-5, 26, 5, -52], [-4, 0, 8, 36], [17, 6, -11, 11], [-3, 3, 22, 19], [2, 0, -4, -20], [14, 0, -28, 36], [-37, -37, 38, -1], [0, 8, 31, 8], [-24, -1, 12, 1], [0, 9, 24, 9], [-3, 0, 3, 3]], 'char_orbit_index': 23, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 1511862042736, 'hecke_ring_character_values': [[15, [1, 0, 0, 0]], [85, [0, 0, 0, 1]], [17, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '112.2.w.a', 'level': 112, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 448, 'analytic_conductor': 0.8943245026383403, 'char_conductor': 112, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 12, 'char_parity': 1, 'char_values': [112, 12, [15, 85, 17], [12, 3, 4]], 'conrey_index': 37, 'cusp_dim': 56, 'dim': 56, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1511862042736, 'hecke_orbit_dims': [4, 4, 48], 'label': '112.2.w', 'level': 112, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 72, 'mf_new_dim': 72, 'num_forms': 3, 'prim_orbit_index': 23, 'relative_dim': 14, 'sturm_bound': 32, 'trace_bound': 2, 'trace_display': [-2, -2, -2, 0], 'traces': [56, -2, -2, -4, -2, -8, 0, -20, 0, 4, -6, -2, -8, -24, -16, 8, -4, 10, -2, 8, -10, -36, 0, 18, 0, -2, -20, -14, 8, 14, 20, 8, -4, -32, -2, -64, 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mf_twists_nf • Show schema
Hide schema
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id: 97031
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '112.2.w.a', 'target_level': 112, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 97032
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '112.2.w.a', 'target_level': 112, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 97033
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '112.2.w.b', 'target_level': 112, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 97034
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '112.2.w.b', 'target_level': 112, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 97035
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.ba.a', 'target_level': 448, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 97036
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.ba.a', 'target_level': 448, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 97037
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.2.ba.b', 'target_level': 448, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 97038
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '448.2.ba.b', 'target_level': 448, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 97039
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '784.2.m.d', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 97040
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '784.2.m.d', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 97041
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.m.e', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 97042
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '784.2.m.e', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 97043
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.x.a', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 97044
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.x.a', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 97045
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.x.h', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 97046
{'conductor': 112, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '784.2.x.h', 'target_level': 784, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 97047
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '896.2.ba.a', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 97048
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '896.2.ba.a', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 97049
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '896.2.ba.b', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 97050
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '896.2.ba.b', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 97051
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '896.2.ba.c', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 97052
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '896.2.ba.c', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 97053
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '896.2.ba.d', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 97054
{'conductor': 112, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '112.2.w.a', 'source_level': 112, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '896.2.ba.d', 'target_level': 896, 'twist_class_label': '112.2.w.a', 'twist_class_level': 112, 'twisting_char_label': '112.w', 'twisting_char_orbit': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 320575
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 2}
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id: 320576
{'charpoly_factorization': [[[1, 2, 5, 4, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 3}
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id: 320577
{'charpoly_factorization': [[[9, 0, 9, 6, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 5}
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id: 320578
{'charpoly_factorization': [[[49, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 7}
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id: 320579
{'charpoly_factorization': [[[169, -130, 41, -8, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 11}
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id: 320580
{'charpoly_factorization': [[[4, -16, 32, -8, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 13}
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id: 320581
{'charpoly_factorization': [[[9, -18, 39, 6, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 17}
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id: 320582
{'charpoly_factorization': [[[169, 130, 41, 8, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 19}
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id: 320583
{'charpoly_factorization': [[[121, 132, 59, 12, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 23}
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id: 320584
{'charpoly_factorization': [[[4, 16, 32, 8, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 29}
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id: 320585
{'charpoly_factorization': [[[1, 4, 15, 4, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 31}
-
id: 320586
{'charpoly_factorization': [[[169, -104, 137, -22, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 37}
-
id: 320587
{'charpoly_factorization': [[[1936, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 41}
-
id: 320588
{'charpoly_factorization': [[[36, 72, 72, -12, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 43}
-
id: 320589
{'charpoly_factorization': [[[1089, 396, 111, 12, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 47}
-
id: 320590
{'charpoly_factorization': [[[2209, -940, 101, -2, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 53}
-
id: 320591
{'charpoly_factorization': [[[14641, -3146, 365, -28, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 59}
-
id: 320592
{'charpoly_factorization': [[[1, 4, 53, 14, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 61}
-
id: 320593
{'charpoly_factorization': [[[1521, 234, 45, 12, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 67}
-
id: 320594
{'charpoly_factorization': [[[16, 0, 56, 0, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 71}
-
id: 320595
{'charpoly_factorization': [[[529, 414, 131, 18, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 73}
-
id: 320596
{'charpoly_factorization': [[[121, 176, 267, -16, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 79}
-
id: 320597
{'charpoly_factorization': [[[676, -520, 200, -20, 1], 1]], 'hecke_orbit_code': 1511862042736, 'p': 83}
-
id: 320598
{'charpoly_factorization': [[[27, -9, 1], 2]], 'hecke_orbit_code': 1511862042736, 'p': 89}
-
id: 320599
{'charpoly_factorization': [[[-32, -8, 1], 2]], 'hecke_orbit_code': 1511862042736, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 23, 'hecke_orbit': 1, 'label': '112.2.w.a', 'level': 112, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 13159614
{'hecke_orbit_code': 1511862042736, 'n': 1, 'trace_an': 4}
-
id: 13159615
{'hecke_orbit_code': 1511862042736, 'n': 2, 'trace_an': -2}
-
id: 13159616
{'hecke_orbit_code': 1511862042736, 'n': 3, 'trace_an': -4}
-
id: 13159617
{'hecke_orbit_code': 1511862042736, 'n': 4, 'trace_an': 0}
-
id: 13159618
{'hecke_orbit_code': 1511862042736, 'n': 5, 'trace_an': -6}
-
id: 13159619
{'hecke_orbit_code': 1511862042736, 'n': 6, 'trace_an': -2}
-
id: 13159620
{'hecke_orbit_code': 1511862042736, 'n': 7, 'trace_an': 0}
-
id: 13159621
{'hecke_orbit_code': 1511862042736, 'n': 8, 'trace_an': -8}
-
id: 13159622
{'hecke_orbit_code': 1511862042736, 'n': 9, 'trace_an': 6}
-
id: 13159623
{'hecke_orbit_code': 1511862042736, 'n': 10, 'trace_an': 0}
-
id: 13159624
{'hecke_orbit_code': 1511862042736, 'n': 11, 'trace_an': 8}
-
id: 13159625
{'hecke_orbit_code': 1511862042736, 'n': 12, 'trace_an': 4}
-
id: 13159626
{'hecke_orbit_code': 1511862042736, 'n': 13, 'trace_an': 8}
-
id: 13159627
{'hecke_orbit_code': 1511862042736, 'n': 14, 'trace_an': 2}
-
id: 13159628
{'hecke_orbit_code': 1511862042736, 'n': 15, 'trace_an': 12}
-
id: 13159629
{'hecke_orbit_code': 1511862042736, 'n': 16, 'trace_an': 8}
-
id: 13159630
{'hecke_orbit_code': 1511862042736, 'n': 17, 'trace_an': -6}
-
id: 13159631
{'hecke_orbit_code': 1511862042736, 'n': 18, 'trace_an': -4}
-
id: 13159632
{'hecke_orbit_code': 1511862042736, 'n': 19, 'trace_an': -8}
-
id: 13159633
{'hecke_orbit_code': 1511862042736, 'n': 20, 'trace_an': 12}
-
id: 13159634
{'hecke_orbit_code': 1511862042736, 'n': 21, 'trace_an': -10}
-
id: 13159635
{'hecke_orbit_code': 1511862042736, 'n': 22, 'trace_an': -18}
-
id: 13159636
{'hecke_orbit_code': 1511862042736, 'n': 23, 'trace_an': -12}
-
id: 13159637
{'hecke_orbit_code': 1511862042736, 'n': 24, 'trace_an': 12}
-
id: 13159638
{'hecke_orbit_code': 1511862042736, 'n': 25, 'trace_an': 18}
-
id: 13159639
{'hecke_orbit_code': 1511862042736, 'n': 26, 'trace_an': -8}
-
id: 13159640
{'hecke_orbit_code': 1511862042736, 'n': 27, 'trace_an': 2}
-
id: 13159641
{'hecke_orbit_code': 1511862042736, 'n': 28, 'trace_an': -20}
-
id: 13159642
{'hecke_orbit_code': 1511862042736, 'n': 29, 'trace_an': -8}
-
id: 13159643
{'hecke_orbit_code': 1511862042736, 'n': 30, 'trace_an': 6}
-
id: 13159644
{'hecke_orbit_code': 1511862042736, 'n': 31, 'trace_an': -4}
-
id: 13159645
{'hecke_orbit_code': 1511862042736, 'n': 32, 'trace_an': 8}
-
id: 13159646
{'hecke_orbit_code': 1511862042736, 'n': 33, 'trace_an': -10}
-
id: 13159647
{'hecke_orbit_code': 1511862042736, 'n': 34, 'trace_an': 6}
-
id: 13159648
{'hecke_orbit_code': 1511862042736, 'n': 35, 'trace_an': -12}
-
id: 13159649
{'hecke_orbit_code': 1511862042736, 'n': 36, 'trace_an': 4}
-
id: 13159650
{'hecke_orbit_code': 1511862042736, 'n': 37, 'trace_an': 22}
-
id: 13159651
{'hecke_orbit_code': 1511862042736, 'n': 38, 'trace_an': -4}
-
id: 13159652
{'hecke_orbit_code': 1511862042736, 'n': 39, 'trace_an': -6}
-
id: 13159653
{'hecke_orbit_code': 1511862042736, 'n': 40, 'trace_an': 12}
-
id: 13159654
{'hecke_orbit_code': 1511862042736, 'n': 41, 'trace_an': 0}
-
id: 13159655
{'hecke_orbit_code': 1511862042736, 'n': 42, 'trace_an': 6}
-
id: 13159656
{'hecke_orbit_code': 1511862042736, 'n': 43, 'trace_an': 12}
-
id: 13159657
{'hecke_orbit_code': 1511862042736, 'n': 44, 'trace_an': -4}
-
id: 13159658
{'hecke_orbit_code': 1511862042736, 'n': 45, 'trace_an': -6}
-
id: 13159659
{'hecke_orbit_code': 1511862042736, 'n': 46, 'trace_an': 4}
-
id: 13159660
{'hecke_orbit_code': 1511862042736, 'n': 47, 'trace_an': -12}
-
id: 13159661
{'hecke_orbit_code': 1511862042736, 'n': 48, 'trace_an': -8}
-
id: 13159662
{'hecke_orbit_code': 1511862042736, 'n': 49, 'trace_an': -4}
-
id: 13159663
{'hecke_orbit_code': 1511862042736, 'n': 50, 'trace_an': -16}
-
id: 13159664
{'hecke_orbit_code': 1511862042736, 'n': 51, 'trace_an': 6}
-
id: 13159665
{'hecke_orbit_code': 1511862042736, 'n': 52, 'trace_an': 4}
-
id: 13159666
{'hecke_orbit_code': 1511862042736, 'n': 53, 'trace_an': 2}
-
id: 13159667
{'hecke_orbit_code': 1511862042736, 'n': 54, 'trace_an': 18}
-
id: 13159668
{'hecke_orbit_code': 1511862042736, 'n': 55, 'trace_an': 0}
-
id: 13159669
{'hecke_orbit_code': 1511862042736, 'n': 56, 'trace_an': 16}
-
id: 13159670
{'hecke_orbit_code': 1511862042736, 'n': 57, 'trace_an': 0}
-
id: 13159671
{'hecke_orbit_code': 1511862042736, 'n': 58, 'trace_an': 8}
-
id: 13159672
{'hecke_orbit_code': 1511862042736, 'n': 59, 'trace_an': 28}
-
id: 13159673
{'hecke_orbit_code': 1511862042736, 'n': 60, 'trace_an': -24}
-
id: 13159674
{'hecke_orbit_code': 1511862042736, 'n': 61, 'trace_an': -14}
-
id: 13159675
{'hecke_orbit_code': 1511862042736, 'n': 62, 'trace_an': 2}
-
id: 13159676
{'hecke_orbit_code': 1511862042736, 'n': 63, 'trace_an': -10}
-
id: 13159677
{'hecke_orbit_code': 1511862042736, 'n': 64, 'trace_an': 0}
-
id: 13159678
{'hecke_orbit_code': 1511862042736, 'n': 65, 'trace_an': -6}
-
id: 13159679
{'hecke_orbit_code': 1511862042736, 'n': 66, 'trace_an': 20}
-
id: 13159680
{'hecke_orbit_code': 1511862042736, 'n': 67, 'trace_an': -12}
-
id: 13159681
{'hecke_orbit_code': 1511862042736, 'n': 68, 'trace_an': 0}
-
id: 13159682
{'hecke_orbit_code': 1511862042736, 'n': 69, 'trace_an': 10}
-
id: 13159683
{'hecke_orbit_code': 1511862042736, 'n': 70, 'trace_an': 24}
-
id: 13159684
{'hecke_orbit_code': 1511862042736, 'n': 71, 'trace_an': 0}
-
id: 13159685
{'hecke_orbit_code': 1511862042736, 'n': 72, 'trace_an': -8}
-
id: 13159686
{'hecke_orbit_code': 1511862042736, 'n': 73, 'trace_an': -18}
-
id: 13159687
{'hecke_orbit_code': 1511862042736, 'n': 74, 'trace_an': 0}
-
id: 13159688
{'hecke_orbit_code': 1511862042736, 'n': 75, 'trace_an': -22}
-
id: 13159689
{'hecke_orbit_code': 1511862042736, 'n': 76, 'trace_an': -16}
-
id: 13159690
{'hecke_orbit_code': 1511862042736, 'n': 77, 'trace_an': -26}
-
id: 13159691
{'hecke_orbit_code': 1511862042736, 'n': 78, 'trace_an': 8}
-
id: 13159692
{'hecke_orbit_code': 1511862042736, 'n': 79, 'trace_an': 16}
-
id: 13159693
{'hecke_orbit_code': 1511862042736, 'n': 80, 'trace_an': -24}
-
id: 13159694
{'hecke_orbit_code': 1511862042736, 'n': 81, 'trace_an': -4}
-
id: 13159695
{'hecke_orbit_code': 1511862042736, 'n': 82, 'trace_an': -28}
-
id: 13159696
{'hecke_orbit_code': 1511862042736, 'n': 83, 'trace_an': 20}
-
id: 13159697
{'hecke_orbit_code': 1511862042736, 'n': 84, 'trace_an': 20}
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