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mf_newforms • Show schema
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{'Nk2': 1536, 'analytic_conductor': 3.066255437617167, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [384, 2, [127, 133, 257], [1, 2, 1]], 'cm_discs': [], 'conrey_index': 383, 'conrey_indexes': [383], 'dim': 4, 'field_disc': 400, 'field_disc_factorization': [[2, 4], [5, 2]], 'field_poly': [1, 0, 3, 0, 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': [[11, [4, 6, 1]], [23, [-16, -4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336727249280, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 12, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '384.2.c.c', 'level': 384, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '384.2.c.a', 'nf_label': '4.0.400.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(1+\\beta _{1})q^{3}+(\\beta _{1}+\\beta _{3})q^{5}+(\\beta _{1}+\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '384.2.c', 'trace_display': [0, 2, 0, 0], 'trace_hash': 1130183948318086940, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.027', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.771', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.121', 'prec': 17}, {'__RealLiteral__': 0, 'data': '73.208', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [1, 1, 0, 0], [0, 0, 0, 0], [0, 1, 0, 1], [0, 0, 0, 0], [0, 1, 1, 1], [0, 0, 0, 0], [1, 1, 1, -1], [0, 0, 0, 0], [-2, 1, 0, -1], [0, 0, 0, 0], [-2, -2, 0, 2], [0, 0, 0, 0], [-2, 1, 1, -1], [0, 0, 0, 0], [0, -2, -2, -2], [0, 0, 0, 0], [0, 1, 2, 1], [0, 0, 0, 0], [-2, 1, 2, 1], [0, 0, 0, 0], [4, 2, 0, -2], [0, 0, 0, 0], [1, 2, 0, -2], [0, 0, 0, 0], [3, 0, 2, 1], [0, 0, 0, 0], [0, -1, -4, -1], [0, 0, 0, 0], [0, 1, -1, 1], [0, 0, 0, 0], [0, -3, 1, -1], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [-2, 2, 0, -2], [0, 0, 0, 0], [-6, 0, -2, 2], [0, 0, 0, 0], [0, 2, 0, 2], [0, 0, 0, 0], [0, 1, -2, 1], [0, 0, 0, 0], [0, -3, 2, 1], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [-1, -2, 0, 2], [0, 0, 0, 0], [4, -2, -4, -2], [0, 0, 0, 0], [0, 1, 0, 1], [0, 0, 0, 0], [0, -4, 2, -4], [0, 0, 0, 0], [-2, 1, 3, 3], [0, 0, 0, 0], [-2, -1, 0, 1], [0, 0, 0, 0], [6, 2, 0, -2], [0, 0, 0, 0], [-4, -1, 3, 3], [0, 0, 0, 0], [0, 2, -4, 2], [0, 0, 0, 0], [0, -3, 0, -3], [0, 0, 0, 0], [8, 2, 2, -2], [0, 0, 0, 0], [-4, -6, 0, 6], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 0, 0, 0], [5, -1, 2, -2], [0, 0, 0, 0], [0, -2, 0, -2], [0, 0, 0, 0], [0, -3, -5, -3], [0, 0, 0, 0], [1, 4, 2, 4], [0, 0, 0, 0], [-6, -1, 0, 1], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 0, 0], [2, -1, -5, -7], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, -2, -6, -2], [0, 0, 0, 0], [-2, 1, 0, -3], [0, 0, 0, 0], [-4, -2, 0, 2], [0, 0, 0, 0], [-6, -2, 0, 2], [0, 0, 0, 0], [2, -1, -2, 5], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [1, 1, 0, 0], [0, 1, 0, 1], [0, 1, 1, 1], [-2, 1, 0, -1], [-2, -2, 0, 2], [0, -2, -2, -2], [0, 1, 2, 1], [4, 2, 0, -2], [0, -1, -4, -1], [0, 1, -1, 1], [-2, 2, 0, -2], [0, 2, 0, 2], [0, 1, -2, 1], [8, 0, 0, 0], [0, 1, 0, 1], [-2, -1, 0, 1], [6, 2, 0, -2], [0, -3, 0, -3], [-4, -6, 0, 6], [-2, 0, 0, 0], [0, -3, -5, -3], [-6, -1, 0, 1], [0, 0, -2, 0], [-6, -2, 0, 2], [0, -3, -4, -3], [0, 5, 1, 5], [-2, -5, 0, 5], [-2, 2, 0, -2], [0, 0, 4, 0], [0, 1, -5, 1], [10, 1, 0, -1], [0, -2, -4, -2], [0, -3, 0, -3], [0, -3, 0, -3], [0, -3, 5, -3], [-2, -2, 0, 2], [0, 5, 6, 5], [-20, -2, 0, 2], [0, 7, 0, 7], [10, 5, 0, -5], [14, -2, 0, 2], [0, -4, 0, 4], [14, 8, 0, -8], [0, 1, 4, 1], [0, 5, 5, 5], [0, 1, -4, 1], [0, 5, 3, 5], [-14, -5, 0, 5], [-18, -2, 0, 2], [0, -4, 6, -4], [-8, 0, 0, 0], [-2, 0, 0, 0], [14, -3, 0, 3], [0, -4, 4, -4], [-4, 2, 0, -2], [0, -5, 0, -5], [0, -3, -5, -3], [14, 2, 0, -2], [0, 4, -6, 4], [0, 1, 12, 1], [0, 1, 12, 1], [0, -11, -4, -11], [-12, -2, 0, 2], [6, 2, 0, -2], [0, -9, -8, -9], [0, -15, -8, -15], [-10, -10, 0, 10], [14, -3, 0, 3], [22, -2, 0, 2], [0, -8, -8, -8], [12, -6, 0, 6], [0, 1, -1, 1], [22, 6, 0, -6], [0, -7, -6, -7], [-16, 4, 0, -4], [0, 5, -8, 5], [-2, -6, 0, 6], [0, 10, 2, 10], [-6, 8, 0, -8], [-6, -5, 0, 5], [-2, 6, 0, -6], [-8, 0, 0, 0], [10, -2, 0, 2], [0, 5, -3, 5], [-26, -3, 0, 3], [0, -6, -10, -6], [-22, 0, 0, 0], [0, -5, -4, -5], [0, 1, 19, 1], [-14, -1, 0, 1], [32, 8, 0, -8], [0, -7, 5, -7], [-10, -13, 0, 13], [0, 1, -12, 1], [-28, -2, 0, 2], [0, 3, -8, 3], [0, -10, -4, -10], [0, 5, 14, 5], [6, 10, 0, -10], [0, 1, -2, 1], [0, 7, 4, 7], [18, 15, 0, -15], [0, 2, -20, 2], [0, 9, 12, 9], [22, -2, 0, 2], [14, 11, 0, -11], [0, -4, 8, -4], [-12, -6, 0, 6], [-18, -16, 0, 16], [0, 1, 19, 1], [-26, -14, 0, 14], [0, 8, 2, 8], [0, 9, 0, 9], [0, 9, 5, 9], [0, 14, 10, 14], [0, -7, -18, -7], [12, 14, 0, -14], [0, 3, 12, 3], [-38, -3, 0, 3], [6, -14, 0, 14], [-6, 6, 0, -6], [0, -3, -12, -3], [-10, 1, 0, -1], [0, -3, 10, -3], [0, 3, 12, 3], [14, 2, 0, -2], [-8, -12, 0, 12], [0, 5, 1, 5], [-10, 6, 0, -6], [0, 9, 8, 9], [12, 6, 0, -6], [0, -11, -9, -11], [14, 6, 0, -6], [0, -18, -8, -18], [-2, -16, 0, 16], [0, 5, 12, 5], [0, 5, -6, 5], [0, -13, 4, -13], [0, -6, -8, -6], [0, 5, -18, 5], [0, -23, -12, -23], [0, 9, -11, 9], [-10, -9, 0, 9], [-2, -2, 0, 2], [12, -6, 0, 6], [6, 14, 0, -14], [0, 10, 20, 10], [0, 1, 10, 1], [-16, -12, 0, 12], [38, 6, 0, -6], [0, 0, 12, 0], [0, 1, 2, 1], [-12, -10, 0, 10], [0, 1, -18, 1], [-8, 8, 0, -8], [0, -15, 5, -15], [0, 6, -14, 6], [18, 10, 0, -10], [0, 3, 4, 3], [18, 13, 0, -13], [0, 10, 4, 10], [0, 1, -3, 1], [38, 17, 0, -17], [0, -10, 14, -10], [-28, -2, 0, 2], [0, 5, -17, 5], [14, 10, 0, -10]], 'char_orbit_index': 3, 'field_poly': [1, 0, 3, 0, 1], 'hecke_orbit_code': 9007336727249280, 'hecke_ring_character_values': [[127, [-1, 0, 0, 0]], [133, [1, 0, 0, 0]], [257, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 1], [-2, 1, 0, -1], [0, -2, 1, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [1, 1, 1, 0], [0, 4, 0, 2], [-1, 1, -1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '384.2.c.c', 'level': 384, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1536, 'analytic_conductor': 3.066255437617167, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [384, 2, [127, 133, 257], [1, 2, 1]], 'conrey_index': 383, 'cusp_dim': 48, 'dim': 16, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 23], 'hecke_orbit_code': 137472508288, 'hecke_orbit_dims': [4, 4, 4, 4], 'label': '384.2.c', 'level': 384, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 80, 'mf_new_dim': 16, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 16, 'sturm_bound': 128, 'trace_bound': 15, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -192, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -672, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 592, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 285121
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '384.2.c.a', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 285122
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '384.2.c.a', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 285123
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '384.2.c.b', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 285124
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '384.2.c.b', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 285125
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '384.2.c.c', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 285126
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '384.2.c.c', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 285127
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '384.2.c.d', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 285128
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '384.2.c.d', 'target_level': 384, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 285129
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '768.2.f.b', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 285130
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '768.2.f.b', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 285131
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '768.2.f.c', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 285132
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '768.2.f.c', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 285133
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '768.2.f.e', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 285134
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '768.2.f.e', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 285135
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '768.2.f.f', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 285136
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '384.2.c.c', 'source_level': 384, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '768.2.f.f', 'target_level': 768, 'twist_class_label': '384.2.c.a', 'twist_class_level': 384, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 804825
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007336727249280, 'p': 2}
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id: 804826
{'charpoly_factorization': [[[9, -6, 2, -2, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 3}
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id: 804827
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 5}
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id: 804828
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 7}
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id: 804829
{'charpoly_factorization': [[[4, 6, 1], 2]], 'hecke_orbit_code': 9007336727249280, 'p': 11}
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id: 804830
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 9007336727249280, 'p': 13}
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id: 804831
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 17}
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id: 804832
{'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 19}
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id: 804833
{'charpoly_factorization': [[[-16, -4, 1], 2]], 'hecke_orbit_code': 9007336727249280, 'p': 23}
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id: 804834
{'charpoly_factorization': [[[1936, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 29}
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id: 804835
{'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 31}
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id: 804836
{'charpoly_factorization': [[[-4, 8, 1], 2]], 'hecke_orbit_code': 9007336727249280, 'p': 37}
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id: 804837
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 41}
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id: 804838
{'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 43}
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id: 804839
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 9007336727249280, 'p': 47}
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id: 804840
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 53}
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id: 804841
{'charpoly_factorization': [[[-4, 2, 1], 2]], 'hecke_orbit_code': 9007336727249280, 'p': 59}
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id: 804842
{'charpoly_factorization': [[[-4, -8, 1], 2]], 'hecke_orbit_code': 9007336727249280, 'p': 61}
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id: 804843
{'charpoly_factorization': [[[1296, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 67}
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id: 804844
{'charpoly_factorization': [[[-176, -4, 1], 2]], 'hecke_orbit_code': 9007336727249280, 'p': 71}
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id: 804845
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 9007336727249280, 'p': 73}
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id: 804846
{'charpoly_factorization': [[[16, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 9007336727249280, 'p': 79}
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id: 804847
{'charpoly_factorization': [[[20, 10, 1], 2]], 'hecke_orbit_code': 9007336727249280, 'p': 83}
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id: 804848
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 9007336727249280, 'p': 89}
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id: 804849
{'charpoly_factorization': [[[-4, 8, 1], 2]], 'hecke_orbit_code': 9007336727249280, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '384.2.c.c', 'level': 384, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 115752000
{'hecke_orbit_code': 9007336727249280, 'n': 1, 'trace_an': 4}
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id: 115752001
{'hecke_orbit_code': 9007336727249280, 'n': 2, 'trace_an': 0}
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id: 115752002
{'hecke_orbit_code': 9007336727249280, 'n': 3, 'trace_an': 2}
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id: 115752003
{'hecke_orbit_code': 9007336727249280, 'n': 4, 'trace_an': 0}
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id: 115752004
{'hecke_orbit_code': 9007336727249280, 'n': 5, 'trace_an': 0}
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id: 115752005
{'hecke_orbit_code': 9007336727249280, 'n': 6, 'trace_an': 0}
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id: 115752006
{'hecke_orbit_code': 9007336727249280, 'n': 7, 'trace_an': 0}
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id: 115752007
{'hecke_orbit_code': 9007336727249280, 'n': 8, 'trace_an': 0}
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id: 115752008
{'hecke_orbit_code': 9007336727249280, 'n': 9, 'trace_an': 0}
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id: 115752009
{'hecke_orbit_code': 9007336727249280, 'n': 10, 'trace_an': 0}
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id: 115752010
{'hecke_orbit_code': 9007336727249280, 'n': 11, 'trace_an': -12}
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id: 115752011
{'hecke_orbit_code': 9007336727249280, 'n': 12, 'trace_an': 0}
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id: 115752012
{'hecke_orbit_code': 9007336727249280, 'n': 13, 'trace_an': 0}
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id: 115752013
{'hecke_orbit_code': 9007336727249280, 'n': 14, 'trace_an': 0}
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id: 115752014
{'hecke_orbit_code': 9007336727249280, 'n': 15, 'trace_an': -12}
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id: 115752015
{'hecke_orbit_code': 9007336727249280, 'n': 16, 'trace_an': 0}
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id: 115752016
{'hecke_orbit_code': 9007336727249280, 'n': 17, 'trace_an': 0}
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id: 115752017
{'hecke_orbit_code': 9007336727249280, 'n': 18, 'trace_an': 0}
-
id: 115752018
{'hecke_orbit_code': 9007336727249280, 'n': 19, 'trace_an': 0}
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id: 115752019
{'hecke_orbit_code': 9007336727249280, 'n': 20, 'trace_an': 0}
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id: 115752020
{'hecke_orbit_code': 9007336727249280, 'n': 21, 'trace_an': -8}
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id: 115752021
{'hecke_orbit_code': 9007336727249280, 'n': 22, 'trace_an': 0}
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id: 115752022
{'hecke_orbit_code': 9007336727249280, 'n': 23, 'trace_an': 8}
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id: 115752023
{'hecke_orbit_code': 9007336727249280, 'n': 24, 'trace_an': 0}
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id: 115752024
{'hecke_orbit_code': 9007336727249280, 'n': 25, 'trace_an': -4}
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id: 115752025
{'hecke_orbit_code': 9007336727249280, 'n': 26, 'trace_an': 0}
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id: 115752026
{'hecke_orbit_code': 9007336727249280, 'n': 27, 'trace_an': 14}
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id: 115752027
{'hecke_orbit_code': 9007336727249280, 'n': 28, 'trace_an': 0}
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id: 115752028
{'hecke_orbit_code': 9007336727249280, 'n': 29, 'trace_an': 0}
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id: 115752029
{'hecke_orbit_code': 9007336727249280, 'n': 30, 'trace_an': 0}
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id: 115752030
{'hecke_orbit_code': 9007336727249280, 'n': 31, 'trace_an': 0}
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id: 115752031
{'hecke_orbit_code': 9007336727249280, 'n': 32, 'trace_an': 0}
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id: 115752032
{'hecke_orbit_code': 9007336727249280, 'n': 33, 'trace_an': 4}
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id: 115752033
{'hecke_orbit_code': 9007336727249280, 'n': 34, 'trace_an': 0}
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id: 115752996
{'hecke_orbit_code': 9007336727249280, 'n': 997, 'trace_an': 16}
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id: 115752997
{'hecke_orbit_code': 9007336727249280, 'n': 998, 'trace_an': 0}
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id: 115752998
{'hecke_orbit_code': 9007336727249280, 'n': 999, 'trace_an': -76}
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id: 115752999
{'hecke_orbit_code': 9007336727249280, 'n': 1000, 'trace_an': 0}