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mf_newforms • Show schema
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{'Nk2': 1664, 'analytic_conductor': 3.321776724085264, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 52, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [416, 4, [287, 261, 353], [2, 4, 3]], 'cm_discs': [], 'conrey_index': 31, 'dim': 4, 'field_disc': 6400, 'field_disc_factorization': [[2, 8], [5, 2]], 'field_poly': [25, 0, 0, 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': [[3, [1, 0, 1]], [7, [25, 0, 0, 0, 1]], [11, [324, -72, 8, 4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007886483063200, 'hecke_ring_generator_nbound': 5, '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, 52, 6, 1, 4, 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': '416.2.k.c', 'level': 416, '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, 13], 'level_radical': 26, 'minimal_twist': '416.2.k.c', 'nf_label': '4.0.6400.3', 'prim_orbit_index': 6, 'qexp_display': 'q-\\beta _{2}q^{3}+\\beta _{1}q^{5}-\\beta _{1}q^{7}+2q^{9}+(-1+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '416.2.k', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2005327792646572875, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.952', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.085', 'prec': 17}, {'__RealLiteral__': 0, 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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, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [-1, 2, -1, 0], [0, 0, 0, 0], [2, -1, -2, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 2, -1, 2], [0, 0, 0, 0], [2, 0, -2, -2], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-4, 1, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -5, 0], [0, 0, 0, 0], [2, 1, 0, -1], [0, 0, 0, 0], [-2, 0, 2, 2], [0, 0, 0, 0], [-1, 0, 1, -2], [0, 0, 0, 0], [0, 0, -5, 0], [0, 0, 0, 0], [-2, 0, 2, -1], [0, 0, 0, 0], [-2, 0, -2, 1], [0, 0, 0, 0], [2, -2, 2, 0], [0, 0, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [2, -3, 2, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [-1, 2, 0, -2], [0, 0, 0, 0], [0, -3, 0, 3], [0, 0, 0, 0], [0, -1, 10, -1], [0, 0, 0, 0], [-2, -2, -2, 0], [0, 0, 0, 0], [4, 0, 4, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 0], [0, 2, -5, -2], [0, 0, 0, 0], [1, 0, -1, 4], [0, 0, 0, 0], [0, -1, 4, -1], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [-6, 0, 6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 1, -10, 1], [0, 0, 0, 0], [0, 3, 6, 3], [0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 0], [-9, 0, 9, 2], [0, 0, 0, 0], [-10, 0, 10, -1], [0, 0, 0, 0], [0, -1, -2, -1], [0, 0, 0, 0], [-6, 0, 6, 2], [0, 0, 0, 0], [0, -2, 5, 2], [0, 0, 0, 0], [2, 2, 2, 0], [0, 0, 0, 0], [10, 2, 0, -2], [0, 0, 0, 0], [-7, -2, -7, 0], [0, 0, 0, 0], [-2, 4, -2, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, -1, 0], [0, 1, 0, 0], [0, -1, 0, 0], [-1, 2, -1, 0], [2, -1, -2, 0], [0, 2, -1, 2], [2, 0, -2, -2], [-4, 1, 0, -1], [2, 1, 0, -1], [-2, 0, 2, 2], [-2, 0, 2, -1], [2, -2, 2, 0], [5, 0, 0, 0], [2, -3, 2, 0], [0, -3, 0, 3], [4, 0, 4, 0], [2, 0, 0, 0], [1, 0, -1, 4], [0, 0, 0, 1], [-6, 0, 6, 0], [0, 3, 6, 3], [-9, 0, 9, 2], [-6, 0, 6, 2], [-7, -2, -7, 0], [0, -2, 4, -2], [-2, -3, 0, 3], [0, -2, 6, -2], [-6, -3, -6, 0], [16, 0, 0, 0], [-12, -1, 0, 1], [0, -4, -1, -4], [-3, 0, 3, 0], [0, 2, -9, 2], [2, 0, 2, 0], [6, 3, 6, 0], [-4, 6, 0, -6], [9, 0, 9, 0], [-8, 6, -8, 0], [0, 3, 6, 3], [3, -4, 0, 4], [0, -1, -6, -1], [0, -1, -22, -1], [1, 0, -1, -2], [6, -1, 6, 0], [24, -1, 0, 1], [0, 4, 3, 4], [2, 0, -2, -7], [0, 0, 0, -2], [-2, 0, 2, 5], [0, -2, 1, -2], [14, 0, -14, -1], [-6, 0, 6, 6], [-6, -4, 0, 4], [0, -4, -17, -4], [0, 0, -6, 0], [10, 0, 0, 0], [-2, -7, -2, 0], [0, -2, 6, -2], [-8, 0, 8, 6], [12, 4, 0, -4], [-12, 0, 12, 3], [-6, -4, -6, 0], [-6, 6, 0, -6], [3, -4, 0, 4], [-14, 4, -14, 0], [5, 0, -5, 6], [0, 4, 3, 4], [0, -8, -1, -8], [-4, 0, 4, 1], [-3, -2, -3, 0], [18, 2, 18, 0], [0, -1, 20, -1], [0, 4, 0, -4], [13, 0, -13, 0], [-12, 0, 12, -3], [0, 0, 4, 0], [2, 0, -2, -16], [5, 0, -5, 12], [17, -4, 17, 0], [0, -2, -11, -2], [-4, -1, -4, 0], [6, 0, -6, 11], [0, 6, 9, 6], [-12, -4, 0, 4], [0, 8, -5, 8], [-17, 0, 17, -6], [-10, 10, -10, 0], [0, 7, 0, 0], [4, 2, 4, 0], [-22, -4, 0, 4], [12, 11, 12, 0], [-12, 0, 12, -10], [35, 2, 0, -2], [-6, 0, 6, -6], [0, -4, 2, -4], [2, 0, 2, 0], [-17, -2, 0, 2], [0, -2, -6, -2], [4, 0, -4, 7], [0, 2, -17, 2], [-8, 0, 8, -1], [-7, 2, 0, -2], [0, 6, 15, 6], [5, 6, 0, -6], [2, -12, 2, 0], [-7, 0, 7, 0], [-3, 0, 3, -6], [0, 10, 4, 10], [7, 12, 0, -12], [0, -6, 0, -6], [12, 6, 12, 0], [4, 12, 4, 0], [-18, -6, -18, 0], [-14, 9, -14, 0], [0, -2, -28, -2], [13, 0, -13, 4], [4, -6, 0, 6], [24, 6, 0, -6], [0, -6, 10, -6], [20, 0, -20, 2], [0, 6, 1, 6], [14, -1, 0, 1], [15, -10, 15, 0], [-10, 0, 10, -8], [0, 1, 28, 1], [22, 0, -22, 8], [16, -5, 0, 5], [6, 9, 0, -9], [-4, 1, -4, 0], [-6, 2, -6, 0], [14, 0, -14, -9], [-30, 6, 0, -6], [0, 9, 0, -9], [12, 0, -12, -4], [-12, -8, -12, 0], [-26, -3, -26, 0], [-18, -6, -18, 0], [0, -6, -14, -6], [15, -12, 0, 12], [-12, 0, 12, 0], [-6, -3, -6, 0], [8, 6, 0, -6], [0, 6, 0, 0], [0, -3, 20, -3], [-8, -6, -8, 0], [0, 0, 0, -11], [0, -10, 16, -10], [0, -10, -22, -10], [2, 0, -2, -9], [6, -15, 6, 0], [0, 0, 15, 0], [39, -6, 0, 6], [0, 6, -6, 6], [-1, -12, 0, 12], [0, 1, 22, 1], [0, -6, 40, -6], [-22, -4, -22, 0], [-12, 8, 0, -8], [18, -11, 18, 0], [7, 6, 7, 0], [0, -10, 19, -10], [8, 0, -8, -1], [0, 2, 37, 2], [-3, 16, -3, 0], [6, -3, 6, 0], [0, 0, 14, 0], [-18, -13, 0, 13]], 'char_orbit_index': 11, 'field_poly': [25, 0, 0, 0, 1], 'hecke_orbit_code': 9007886483063200, 'hecke_ring_character_values': [[287, [-1, 0, 0, 0]], [261, [1, 0, 0, 0]], [353, [0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 5, 5], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 5, 0], [0, 0, 0, 5]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '416.2.k.c', 'level': 416, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1664, 'analytic_conductor': 3.321776724085264, 'char_conductor': 52, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 4, 'char_parity': 1, 'char_values': [416, 4, [287, 261, 353], [2, 4, 3]], 'conrey_index': 31, 'cusp_dim': 96, 'dim': 28, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 687228322208, 'hecke_orbit_dims': [2, 2, 4, 4, 8, 8], 'label': '416.2.k', 'level': 416, '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, 13], 'level_radical': 26, 'mf_dim': 128, 'mf_new_dim': 28, 'num_forms': 6, 'prim_orbit_index': 6, 'relative_dim': 14, 'sturm_bound': 112, 'trace_bound': 11, 'trace_display': [0, 0, -4, 0], 'traces': [28, 0, 0, 0, -4, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -28, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 16, 0, 0, 0, 24, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, -24, 0, 0, 0, -12, 0, 0, 0, -16, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 44, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 60, 0, 0, 0, 48, 0, 0, 0, 80, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 16, 0, 0, 0, -192, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 192, 0, 0, 0, 76, 0, 0, 0, 36, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -108, 0, 0, 0, -12, 0, 0, 0, -128, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -24, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, -172, 0, 0, 0, -80, 0, 0, 0, -192, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -100, 0, 0, 0, -128, 0, 0, 0, 164, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 240, 0, 0, 0, -180, 0, 0, 0, -4, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 204, 0, 0, 0, 96, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 68, 0, 0, 0, 68, 0, 0, 0, 92, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 84, 0, 0, 0, -24, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -156, 0, 0, 0, 176, 0, 0, 0, -84, 0, 0, 0, 132, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, -208, 0, 0, 0, 8, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -240, 0, 0, 0, -112, 0, 0, 0, 124, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, -80, 0, 0, 0, -100, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -408, 0, 0, 0, 192, 0, 0, 0, 124, 0, 0, 0, 176, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, -576, 0, 0, 0, 100, 0, 0, 0, -80, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, -76, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 484, 0, 0, 0, 112, 0, 0, 0, 196, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 220, 0, 0, 0, 280, 0, 0, 0, 208, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, -460, 0, 0, 0, 164, 0, 0, 0, 48, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, -240, 0, 0, 0, -72, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, -592, 0, 0, 0, -212, 0, 0, 0, -32, 0, 0, 0, -432, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -268, 0, 0, 0, -332, 0, 0, 0, 176, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 332, 0, 0, 0, -488, 0, 0, 0, 84, 0, 0, 0, -68, 0, 0, 0, 0, 0, 0, 0, -336, 0, 0, 0, 256, 0, 0, 0, 256, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -68, 0, 0, 0, 496, 0, 0, 0, 0, 0, 0, 0, 360, 0, 0, 0, 224, 0, 0, 0, 20, 0, 0, 0, -172, 0, 0, 0, 0, 0, 0, 0, -148, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -384, 0, 0, 0, -48, 0, 0, 0, -204, 0, 0, 0, 252, 0, 0, 0, 0, 0, 0, 0, 864, 0, 0, 0, -80, 0, 0, 0, -208, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, -432, 0, 0, 0, -80, 0, 0, 0, 172, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, -472, 0, 0, 0, -236, 0, 0, 0, 112, 0, 0, 0, -132, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -520, 0, 0, 0, 544, 0, 0, 0, 80, 0, 0, 0, 76, 0, 0, 0, -476, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 32, 0, 0, 0, -88, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 307618
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '416.2.k.c', 'source_level': 416, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '416.2.k.c', 'target_level': 416, 'twist_class_label': '416.2.k.c', 'twist_class_level': 416, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 307619
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '416.2.k.c', 'source_level': 416, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '416.2.k.c', 'target_level': 416, 'twist_class_label': '416.2.k.c', 'twist_class_level': 416, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 307620
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '416.2.k.c', 'source_level': 416, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '416.2.k.d', 'target_level': 416, 'twist_class_label': '416.2.k.c', 'twist_class_level': 416, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 307621
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '416.2.k.c', 'source_level': 416, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '416.2.k.d', 'target_level': 416, 'twist_class_label': '416.2.k.c', 'twist_class_level': 416, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 307622
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '416.2.k.c', 'source_level': 416, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '832.2.k.e', 'target_level': 832, 'twist_class_label': '416.2.k.c', 'twist_class_level': 416, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 307623
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '416.2.k.c', 'source_level': 416, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '832.2.k.e', 'target_level': 832, 'twist_class_label': '416.2.k.c', 'twist_class_level': 416, 'twisting_char_label': '104.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 307624
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '416.2.k.c', 'source_level': 416, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '832.2.k.f', 'target_level': 832, 'twist_class_label': '416.2.k.c', 'twist_class_level': 416, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 307625
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 11, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '416.2.k.c', 'source_level': 416, 'target_char_orbit': 11, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '832.2.k.f', 'target_level': 832, 'twist_class_label': '416.2.k.c', 'twist_class_level': 416, 'twisting_char_label': '104.m', 'twisting_char_orbit': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 857200
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9007886483063200, 'p': 2}
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id: 857201
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 9007886483063200, 'p': 3}
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id: 857202
{'charpoly_factorization': [[[25, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 5}
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id: 857203
{'charpoly_factorization': [[[25, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 7}
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id: 857204
{'charpoly_factorization': [[[324, -72, 8, 4, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 11}
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id: 857205
{'charpoly_factorization': [[[169, -104, 32, -8, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 13}
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id: 857206
{'charpoly_factorization': [[[1521, 0, 82, 0, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 17}
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id: 857207
{'charpoly_factorization': [[[144, 96, 32, -8, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 19}
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id: 857208
{'charpoly_factorization': [[[6, 8, 1], 2]], 'hecke_orbit_code': 9007886483063200, 'p': 23}
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id: 857209
{'charpoly_factorization': [[[-6, -4, 1], 2]], 'hecke_orbit_code': 9007886483063200, 'p': 29}
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id: 857210
{'charpoly_factorization': [[[144, -96, 32, 8, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 31}
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id: 857211
{'charpoly_factorization': [[[9, 24, 32, 8, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 37}
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id: 857212
{'charpoly_factorization': [[[144, 96, 32, -8, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 41}
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id: 857213
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 9007886483063200, 'p': 43}
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id: 857214
{'charpoly_factorization': [[[1369, 296, 32, -8, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 47}
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id: 857215
{'charpoly_factorization': [[[-90, 0, 1], 2]], 'hecke_orbit_code': 9007886483063200, 'p': 53}
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id: 857216
{'charpoly_factorization': [[[32, -8, 1], 2]], 'hecke_orbit_code': 9007886483063200, 'p': 59}
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id: 857217
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 9007886483063200, 'p': 61}
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id: 857218
{'charpoly_factorization': [[[6084, 312, 8, -4, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 67}
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id: 857219
{'charpoly_factorization': [[[25, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 71}
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id: 857220
{'charpoly_factorization': [[[72, 12, 1], 2]], 'hecke_orbit_code': 9007886483063200, 'p': 73}
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id: 857221
{'charpoly_factorization': [[[2916, 0, 252, 0, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 79}
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id: 857222
{'charpoly_factorization': [[[20164, 5112, 648, 36, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 83}
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id: 857223
{'charpoly_factorization': [[[2704, 1248, 288, 24, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 89}
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id: 857224
{'charpoly_factorization': [[[6084, 2184, 392, 28, 1], 1]], 'hecke_orbit_code': 9007886483063200, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 3, 'label': '416.2.k.c', 'level': 416, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 31347493
{'hecke_orbit_code': 9007886483063200, 'n': 1, 'trace_an': 4}
-
id: 31347494
{'hecke_orbit_code': 9007886483063200, 'n': 2, 'trace_an': 0}
-
id: 31347495
{'hecke_orbit_code': 9007886483063200, 'n': 3, 'trace_an': 0}
-
id: 31347496
{'hecke_orbit_code': 9007886483063200, 'n': 4, 'trace_an': 0}
-
id: 31347497
{'hecke_orbit_code': 9007886483063200, 'n': 5, 'trace_an': 0}
-
id: 31347498
{'hecke_orbit_code': 9007886483063200, 'n': 6, 'trace_an': 0}
-
id: 31347499
{'hecke_orbit_code': 9007886483063200, 'n': 7, 'trace_an': 0}
-
id: 31347500
{'hecke_orbit_code': 9007886483063200, 'n': 8, 'trace_an': 0}
-
id: 31347501
{'hecke_orbit_code': 9007886483063200, 'n': 9, 'trace_an': 8}
-
id: 31347502
{'hecke_orbit_code': 9007886483063200, 'n': 10, 'trace_an': 0}
-
id: 31347503
{'hecke_orbit_code': 9007886483063200, 'n': 11, 'trace_an': -4}
-
id: 31347504
{'hecke_orbit_code': 9007886483063200, 'n': 12, 'trace_an': 0}
-
id: 31347505
{'hecke_orbit_code': 9007886483063200, 'n': 13, 'trace_an': 8}
-
id: 31347506
{'hecke_orbit_code': 9007886483063200, 'n': 14, 'trace_an': 0}
-
id: 31347507
{'hecke_orbit_code': 9007886483063200, 'n': 15, 'trace_an': 0}
-
id: 31347508
{'hecke_orbit_code': 9007886483063200, 'n': 16, 'trace_an': 0}
-
id: 31347509
{'hecke_orbit_code': 9007886483063200, 'n': 17, 'trace_an': 0}
-
id: 31347510
{'hecke_orbit_code': 9007886483063200, 'n': 18, 'trace_an': 0}
-
id: 31347511
{'hecke_orbit_code': 9007886483063200, 'n': 19, 'trace_an': 8}
-
id: 31347512
{'hecke_orbit_code': 9007886483063200, 'n': 20, 'trace_an': 0}
-
id: 31347513
{'hecke_orbit_code': 9007886483063200, 'n': 21, 'trace_an': 0}
-
id: 31347514
{'hecke_orbit_code': 9007886483063200, 'n': 22, 'trace_an': 0}
-
id: 31347515
{'hecke_orbit_code': 9007886483063200, 'n': 23, 'trace_an': -16}
-
id: 31347516
{'hecke_orbit_code': 9007886483063200, 'n': 24, 'trace_an': 0}
-
id: 31347517
{'hecke_orbit_code': 9007886483063200, 'n': 25, 'trace_an': 0}
-
id: 31347518
{'hecke_orbit_code': 9007886483063200, 'n': 26, 'trace_an': 0}
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