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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, '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': 2, 'hecke_orbit_code': 4503737099878784, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '384.2.c.b', 'level': 384, '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, 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 _{3})q^{3}+(-\\beta _{1}-\\beta _{3})q^{5}+(\\beta _{1}+\\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': 55256041274482347, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.771', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.644', 'prec': 17}, {'__RealLiteral__': 0, 'data': '73.208', 'prec': 20}, {'__RealLiteral__': 0, 'data': '40.024', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2021.920', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.512', 'prec': 17}, 'traces': [4, 0, -2, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 12, 0, 0, 0, 0, 0, -8, 0, -8, 0, -4, 0, -14, 0, 0, 0, 0, 0, 4, 0, 16, 0, -16, 0, 20, 0, 0, 0, 0, 0, 8, 0, -32, 0, 4, 0, -16, 0, 0, 0, 0, 0, -4, 0, 4, 0, 16, 0, 8, 0, 0, 0, 0, 0, 24, 0, -8, 0, -8, 0, -18, 0, 0, 0, 0, 0, 4, 0, 20, 0, 32, 0, 4, 0, 0, 0, 0, 0, -16, 0, 8, 0, -16, 0, -20, 0, 0, 0, 0, 0, -8, 0, -12, 0, -16, 0, -12, 0, 0, 0, 0, 0, -40, 0, -48, 0, 12, 0, 24, 0, 0, 0, 0, 0, -20, 0, -36, 0, -32, 0, -4, 0, 0, 0, 0, 0, 16, 0, 40, 0, -8, 0, 18, 0, 0, 0, 0, 0, 16, 0, 32, 0, 0, 0, 12, 0, 0, 0, 0, 0, 56, 0, 72, 0, 28, 0, 24, 0, 0, 0, 0, 0, -12, 0, -20, 0, 64, 0, -28, 0, 0, 0, 0, 0, -24, 0, -16, 0, 24, 0, 40, 0, 0, 0, 0, 0, 36, 0, -48, 0, -48, 0, -40, 0, 0, 0, 0, 0, -56, 0, 40, 0, -8, 0, 4, 0, 0, 0, 0, 0, 40, 0, 36, 0, -64, 0, -24, 0, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 1], [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, 1, 2, 0], [0, 0, 0, 0], [0, 1, 4, 1], [0, 0, 0, 0], [0, 1, -1, 1], [0, 0, 0, 0], [0, 1, -1, 3], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [-2, 2, 0, -2], [0, 0, 0, 0], [6, 2, -2, 0], [0, 0, 0, 0], [0, -2, 0, -2], [0, 0, 0, 0], [0, 1, -2, 1], [0, 0, 0, 0], [0, -1, -2, 3], [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, -3, -3, -1], [0, 0, 0, 0], [2, 1, 0, -1], [0, 0, 0, 0], [6, 2, 0, -2], [0, 0, 0, 0], [4, 3, 3, -1], [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, -2, 2, -1], [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, -7, -5, -1], [0, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [0, -2, -6, -2], [0, 0, 0, 0], [-2, 3, 0, -1], [0, 0, 0, 0], [4, 2, 0, -2], [0, 0, 0, 0], [-6, -2, 0, 2], [0, 0, 0, 0], [-2, 5, -2, -1], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [-1, 0, 0, 1], [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': 4503737099878784, '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.b', '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_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, 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: 285105
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 285106
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 285107
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 285108
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 285109
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 285110
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 285111
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 285112
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 285113
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 285114
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 285115
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 285116
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 285117
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 285118
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 285119
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 285120
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '384.2.c.b', '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.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 804800
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4503737099878784, 'p': 2}
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id: 804801
{'charpoly_factorization': [[[9, 6, 2, 2, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 3}
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id: 804802
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 5}
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id: 804803
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 7}
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id: 804804
{'charpoly_factorization': [[[4, -6, 1], 2]], 'hecke_orbit_code': 4503737099878784, 'p': 11}
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id: 804805
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 4503737099878784, 'p': 13}
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id: 804806
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 17}
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id: 804807
{'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 19}
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id: 804808
{'charpoly_factorization': [[[-16, 4, 1], 2]], 'hecke_orbit_code': 4503737099878784, 'p': 23}
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id: 804809
{'charpoly_factorization': [[[1936, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 29}
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id: 804810
{'charpoly_factorization': [[[16, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 31}
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id: 804811
{'charpoly_factorization': [[[-4, 8, 1], 2]], 'hecke_orbit_code': 4503737099878784, 'p': 37}
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id: 804812
{'charpoly_factorization': [[[256, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 41}
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id: 804813
{'charpoly_factorization': [[[400, 0, 60, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 43}
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id: 804814
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 4503737099878784, 'p': 47}
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id: 804815
{'charpoly_factorization': [[[16, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 53}
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id: 804816
{'charpoly_factorization': [[[-4, -2, 1], 2]], 'hecke_orbit_code': 4503737099878784, 'p': 59}
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id: 804817
{'charpoly_factorization': [[[-4, -8, 1], 2]], 'hecke_orbit_code': 4503737099878784, 'p': 61}
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id: 804818
{'charpoly_factorization': [[[1296, 0, 108, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 67}
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id: 804819
{'charpoly_factorization': [[[-176, 4, 1], 2]], 'hecke_orbit_code': 4503737099878784, 'p': 71}
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id: 804820
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 4503737099878784, 'p': 73}
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id: 804821
{'charpoly_factorization': [[[16, 0, 188, 0, 1], 1]], 'hecke_orbit_code': 4503737099878784, 'p': 79}
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id: 804822
{'charpoly_factorization': [[[20, -10, 1], 2]], 'hecke_orbit_code': 4503737099878784, 'p': 83}
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id: 804823
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 4503737099878784, 'p': 89}
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id: 804824
{'charpoly_factorization': [[[-4, 8, 1], 2]], 'hecke_orbit_code': 4503737099878784, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '384.2.c.b', '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: 20946223
{'hecke_orbit_code': 4503737099878784, 'n': 1, 'trace_an': 4}
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id: 20946224
{'hecke_orbit_code': 4503737099878784, 'n': 2, 'trace_an': 0}
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id: 20946225
{'hecke_orbit_code': 4503737099878784, 'n': 3, 'trace_an': -2}
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id: 20946226
{'hecke_orbit_code': 4503737099878784, 'n': 4, 'trace_an': 0}
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id: 20946227
{'hecke_orbit_code': 4503737099878784, 'n': 5, 'trace_an': 0}
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id: 20946228
{'hecke_orbit_code': 4503737099878784, 'n': 6, 'trace_an': 0}
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id: 20946229
{'hecke_orbit_code': 4503737099878784, 'n': 7, 'trace_an': 0}
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id: 20946230
{'hecke_orbit_code': 4503737099878784, 'n': 8, 'trace_an': 0}
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id: 20946231
{'hecke_orbit_code': 4503737099878784, 'n': 9, 'trace_an': 0}
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id: 20946232
{'hecke_orbit_code': 4503737099878784, 'n': 10, 'trace_an': 0}
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id: 20946233
{'hecke_orbit_code': 4503737099878784, 'n': 11, 'trace_an': 12}
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id: 20946234
{'hecke_orbit_code': 4503737099878784, 'n': 12, 'trace_an': 0}
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id: 20946235
{'hecke_orbit_code': 4503737099878784, 'n': 13, 'trace_an': 0}
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id: 20946236
{'hecke_orbit_code': 4503737099878784, 'n': 14, 'trace_an': 0}
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id: 20946237
{'hecke_orbit_code': 4503737099878784, 'n': 15, 'trace_an': 12}
-
id: 20946238
{'hecke_orbit_code': 4503737099878784, 'n': 16, 'trace_an': 0}
-
id: 20946239
{'hecke_orbit_code': 4503737099878784, 'n': 17, 'trace_an': 0}
-
id: 20946240
{'hecke_orbit_code': 4503737099878784, 'n': 18, 'trace_an': 0}
-
id: 20946241
{'hecke_orbit_code': 4503737099878784, 'n': 19, 'trace_an': 0}
-
id: 20946242
{'hecke_orbit_code': 4503737099878784, 'n': 20, 'trace_an': 0}
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