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mf_newforms • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [11, -1]], 'atkin_lehner_string': '--+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [462, 1, [155, 199, 211], [1, 1, 1]], 'cm_discs': [], 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, 1]], [13, [2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797777870, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '462.2.a.g', 'level': 462, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.a.g', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}+2q^{5}+q^{6}-q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/462/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '462.2.a', 'trace_display': [1, 1, 2, -1], 'trace_hash': 661039448796501051, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.052', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.202', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.122', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, 'traces': [1, 1, 1, 1, 2, 1, -1, 1, 1, 2, 1, 1, -2, -1, 2, 1, -2, 1, 0, 2, -1, 1, 0, 1, -1, -2, 1, -1, -2, 2, 4, 1, 1, -2, -2, 1, -2, 0, -2, 2, -10, -1, 4, 1, 2, 0, 4, 1, 1, -1, -2, -2, -2, 1, 2, -1, 0, -2, -12, 2, -2, 4, -1, 1, -4, 1, 12, -2, 0, -2, 8, 1, 6, -2, -1, 0, -1, -2, -8, 2, 1, -10, -8, -1, -4, 4, -2, 1, -14, 2, 2, 0, 4, 4, 0, 1, -14, 1, 1, -1, -10, -2, 4, -2, -2, -2, -12, 1, 14, 2, -2, -1, 18, 0, 0, -2, -2, -12, 2, 2, 1, -2, -10, 4, -12, -1, 8, 1, 4, -4, 0, 1, 0, 12, 2, -2, 10, 0, 0, -2, 4, 8, -2, 1, -4, 6, 1, -2, -10, -1, 8, 0, -2, -1, 8, -2, 18, -8, -2, 2, 0, 1, 4, -10, 2, -8, 0, -1, -9, -4, 0, 4, 6, -2, 1, 1, -12, -14, 12, 2, 2, 2, -2, 0, -4, 4, -2, 4, -1, 0, -8, 1, 2, -14, -4, 1, 6, 1, 20, -1, 12, -10, 2, -2, -20, 4, 0, -2, 0, -2, 12, -2, 8, -12, 8, 1, -4, 14, 6, 2, 4, -2, 20, -1, -1, 18, 0, 0, -14, 0, -1, -2, -6, -2, 8, -12, -8, 2, 16, 2, 30, 1, 1, -2, 2, -10, 0, 4, -8, -12, 4, -1, 0, 8, -4, 1, -6, 4, 2, -4, -2, 0, 32, 1, -4, 0, -14, 12, 10, 2, -8, -2, 2, 10, -1, 0, -10, 0, 4, -2, 10, 4, 16, 8, 0, -2, 10, 1, -13, -4, -14, 6, 14, 1, -24, -2, 1, -10, 0, -1, -4, 8, -10, 0, -4, -2, 8, -1, 4, 8, 20, -2, -30, 18, -2, -8, 22, -2, -2, 2, -12, 0, 0, 1, 2, 4, 14, -10, -4, 2, 20, -8, -2, 0, 24, -1, -22, -9, 18, -4, 4, 0, -1, 4, 0, 6, -12, -2, -26, 1, -2, 1, -6, -12, 16, -14, 2, 12, -32, 2, -19, 2, 1, 2, 12, -2, -28, 0, -10, -4, 2, 4, 22, -2, -12, 4, 4, -1, -20, 0, 8, -8, 12, 1, -2, 2, 4, -14, 22, -4, 0, 1, 0, 6, -16, 1, -30, 20, 0, -1, 18, 12, -8, -10, 2, 2, -2, -2, 14, -20, 10, 4, 12, 0, -16, -2, 0, 0, -12, -2, 6, 12, 4, -2, 2, 8, 2, -12, -2, 8, -40, 1, 18, -4, -4, 14, 0, 6, 16, 2, 1, 4, -12, -2, -28, 20, -10, -1, -30, -1, -10, 18, 8, 0, 4, 0, -38, -14, -2, 0, -18, -1, 16, -2, 8, -6, 4, -2, -12, 8, 18, -12, 4, -8, 0, 2, -2, 16, -32, 2, 4, 30, 0, 1, -28, 1, -32, -2, 4, 2, -36, -10, 4, 0, 2, 4, -8, -8, 28, -12, 0, 4, 16, -1, -20, 0, -9, 8, 10, -4, -6, 1, 0, -6, 8, 4, 4, 2, 6, -4, -30, -2, -16, 0, 1, 32, -8, 1, -23, -4, -12, 0, 20, -14, -24, 12, 12, 10, 1, 2, 30, -8, 2, -2, 28, 2, -44, 10, -2, -1, 0, 0, 8, -10, -4, 0, 14, 4, -8, -2, -2, 10, 0, 4, 36, 16, -1, 8, -22, 0, 44, -2, -8, 10, 0, 1, 10, -13, 2, -4, 8, -14, -2, 6, -4, 14, -28, 1, 0, -24, 6, -2, -34, 1, 4, -10, 20, 0, -24, -1, -18, -4, 12, 8, 2, -10, 32, 0, 2, -4, -8, -2, 38, 8, -20, -1, 26, 4, -20, 8, 0, 20, 14, -2, -19, -30, 0, 18, 4, -2, 0, -8, 12, 22, 16, -2, -2, -2, 8, 2, 18, -12, 44, 0, 8, 0, -28, 1, -12, 2, -4, 4, 30, 14, 0, -10, 6, -4, -20, 2, 18, 20, 4, -8, 0, -2, 0, 0, 20, 24, -2, -1, 26, -22, -1, -9, 14, 18, 14, -4, 0, 4, -28, 0, 20, -1, -14, 4, 4, 0, 28, 6, -1, -12, 0, -2, 20, -26, -6, 1, 30, -2, 0, 1, 8, -6, 10, -12, -2, 16, -8, -14, 0, 2, -4, 12, 16, -32, 28, 2, -4, -19, 30, 2, 2, 1, 28, 2, 1, 12, -8, -2, 46, -28, 2, 0, 12, -10, 20, -4, 0, 2, -40, 4, -20, 22, -8, -2, 12, -12, -8, 4, 4, 4, 16, -1, -18, -20, 0, 0, -2, 8, -14, -8, -4, 12, 24, 1, -26, -2, -6, 2, 10, 4, -4, -14, 2, 22, 0, -4, 8, 0, -2, 1, 36, 0, 32, 6, 32, -16, -18, 1, 4, -30, -4, 20, 34, 0, -8, -1, -14, 18, 6, 12, 0, -8, 10, -10, -14, 2, 0, 2, -8, -2, 8, -2, 0, 14, 2, -20, 22, 10, -48, 4, -1, 12, -36, 0, -6, -16, -10, -2, -2, 0, 0, 0, 4, -12, -12, -2, -25, 6, 10, 12, -18, 4, -1, -2, 16, 2, 0, 8, 6, 2, 0, -12, -34, -2, 4, 8, 10, -40, 24, 1, 12, 18, -13, -4, -8, -4, -24, 14, -14, 0, 12, 6, -2, 16, 14, 2, -14, 1, -28, 4, -24, -12, 24, -2, -8, -28, 1, 20, 0, -10, 24, -1, 0, -30, -8, -1, 4, -10, -4, 18, 4, 8, -12, 0, -10, 4, -40, 0, -8, -38, -4, -14, 0, -2, -40, 0, 8, -18, -16, -1, 2, 16, 4, -2, -54, 8, 0, -6, 20, 4, -4, -2, 22, -12, -30, 8, 6, 18, 0, -12, -2, 4, 4, -8, -12, 0, 22, 2, 18, -2, -16, 16, -2, -32, -10, 2, -15, 4, -12, 30, 4, 0, -40, 1, 0, -28, -52, 1, 0, -32, 2, -2, 2, 4, -14, 2, 14, -36, -4, -10, 12, 4, -4, 0, 0, 2, 16, 4, 20, -8, 40, -8, 14, 28, -2, -12], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [1], [1], [2], [1], [-1], [1], [1], [2], [1], [1], [-2], [-1], [2], [1], [-2], [1], [0], [2], [-1], [1], [0], [1], [-1], [-2], [1], [-1], [-2], [2], [4], [1], [1], [-2], [-2], [1], [-2], [0], [-2], [2], [-10], [-1], [4], [1], [2], [0], [4], [1], [1], [-1], [-2], [-2], [-2], [1], [2], [-1], [0], [-2], [-12], [2], [-2], [4], [-1], [1], [-4], [1], [12], [-2], [0], [-2], [8], [1], [6], [-2], [-1], [0], [-1], [-2], [-8], [2], [1], [-10], [-8], [-1], [-4], [4], [-2], [1], [-14], [2], [2], [0], [4], [4], [0], [1], [-14], [1], [1], [-1]], 'ap': [[1], [1], [2], [-1], [1], [-2], [-2], [0], [0], [-2], [4], [-2], [-10], [4], [4], [-2], [-12], [-2], [12], [8], [6], [-8], [-8], [-14], [-14], [-10], [4], [-12], [14], [18], [8], [0], [10], [0], [-10], [8], [18], [4], [0], [6], [12], [2], [-8], [2], [6], [20], [12], [20], [0], [-14], [-6], [16], [30], [4], [-6], [32], [10], [-8], [-10], [10], [16], [14], [8], [20], [-30], [22], [20], [-22], [-12], [-26], [-6], [-32], [-28], [22], [-20], [12], [22], [-30], [18], [14], [-12], [6], [-40], [18], [16], [-12], [-30], [-38], [-18], [16], [4], [-32], [-32], [-36], [28], [16], [10], [-30], [-16], [30], [-44], [14], [0], [-22], [44], [10], [-28], [-34], [-24], [-18], [32], [38], [26], [-20], [0], [18], [44], [-28], [30], [-20], [18], [26], [14], [-28], [28], [30], [-2], [28], [28], [46], [20], [-40], [-8], [-18], [-2], [-26], [10], [32], [34], [-14], [0], [22], [-48], [-36], [-6], [-12], [6], [-34], [4], [24], [-2], [-14], [-28], [24], [-12], [-40], [-40], [-54], [22], [6], [4], [18], [-40], [-52], [2], [-4], [16], [14]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797777870, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '462.2.a.g', 'level': 462, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [3, -1], [7, 1], [11, 1]], 1, 1], [[[2, 1], [3, 1], [7, -1], [11, -1]], 1, 1], [[[2, 1], [3, -1], [7, -1], [11, -1]], 2, 1], [[[2, -1], [3, -1], [7, 1], [11, -1]], 1, 1], [[[2, -1], [3, -1], [7, -1], [11, 1]], 1, 1], [[[2, -1], [3, 1], [7, -1], [11, 1]], 1, 1], [[[2, 1], [3, 1], [7, 1], [11, 1]], 1, 1], [[[2, 1], [3, 1], [7, 1], [11, -1]], 1, 1]], 'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [462, 1, [155, 199, 211], [1, 1, 1]], 'conrey_indexes': [1], 'cusp_dim': 89, 'dim': 9, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13], 'hecke_orbit_code': 33554894, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2], 'label': '462.2.a', 'level': 462, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 104, 'mf_new_dim': 9, 'num_forms': 8, 'plus_dim': 3, 'prim_orbit_index': 1, 'relative_dim': 9, 'sturm_bound': 192, 'trace_bound': 5, 'trace_display': [-3, 1, -2, 1], 'traces': [9, -3, 1, 9, -2, 1, 1, -3, 9, -2, 1, 1, 6, 1, 6, 9, -6, -3, 4, -2, 1, -3, -16, 1, 7, -18, 1, 1, -26, 6, 24, -3, 1, -6, -10, 9, 6, -4, 14, -2, -14, -3, 4, 1, -2, 0, 8, 1, 9, 3, 10, 6, -2, 1, 6, 1, 20, -2, -4, 6, -10, 0, 1, 9, 20, 1, 20, -6, 8, -2, -16, -3, -14, -18, -1, 4, 1, -2, -48, -2, 9, 18, -12, 1, 12, 4, -2, -3, -38, -2, -2, -16, -8, 0, -24, 1, -14, -3, 1, 7, -18, -6, -32, -18, 6, -10, -4, 1, 38, 6, 22, 1, 2, -12, 0, -26, 6, -20, -14, 6, 9, 30, -14, 24, -36, 1, 0, -3, -4, 20, -12, 1, -4, 4, 6, -6, -22, 8, -36, -10, 0, -16, 6, 9, 20, 18, 1, 6, -2, -33, -24, -4, -6, -7, -16, 14, 38, 16, -10, -2, -8, -3, 20, -14, -2, -20, 40, -3, -17, 12, 4, 4, 22, -2, 31, 1, -20, -30, 4, -2, -18, -2, 14, 0, 84, 8, 2, 8, 1, 40, -8, 1, 2, -38, -28, 9, 46, -3, -32, 3, 20, 38, -18, 10, -68, 56, -16, 6, -20, -2, 28, -2, -8, -36, 56, 1, -8, -18, 26, 6, 60, -10, 8, 1, 7, 26, 36, 20, 14, 64, 1, -2, -14, -18, -16, -4, 0, 10, -32, 6, -38, -3, 1, -10, -2, -30, 24, 0, -20, -36, 44, 1, 16, 32, -68, 9, 98, -4, -10, 20, -26, -4, 72, 1, 84, 4, 10, 20, 38, 6, 16, -6, 6, 34, 15, 8, -34, 68, 24, -2, 98, -16, 12, -16, -24, -2, 26, -3, -5, 20, -14, -14, -18, 1, -88, -18, 1, -26, 32, -1, -20, 40, -42, 4, -44, -6, -76, 1, 0, -16, 64, -2, -102, -42, -10, -48, 38, -10, 6, -2, -4, -8, 8, 9, -70, 36, -50, 18, 0, -2, -36, -12, 6, -40, -56, 1, 34, 27, -30, 12, 0, -4, 1, 4, -96, 30, -36, -2, -10, -17, 14, -3, 34, -4, 32, -38, 10, -12, 40, -2, 21, 46, 1, -2, -52, -34, -120, -16, -14, -44, -10, -8, 30, 2, 12, 0, 68, -3, 44, -24, -16, 40, -24, 1, -2, -22, 4, -14, -66, -28, 128, -3, -20, -26, 80, 1, -58, 56, 4, 7, 50, -12, -48, -18, -2, -2, 6, -6, 50, -68, 26, -32, 28, 0, -24, -18, -4, 20, -76, 6, -42, 28, 8, -10, -42, 24, 14, -4, -18, -72, -16, 1, 66, 16, -28, 38, 0, -22, -56, 6, 9, -4, 28, 22, 60, 48, -42, 1, -110, 3, -6, 2, -8, 12, 20, -12, -6, 14, 10, 0, -42, -3, 64, -26, -16, 10, 100, 6, 20, -16, 22, -20, 4, 32, -52, -14, -2, 32, -16, 6, 132, 26, 16, 9, 92, 1, -8, 30, 4, -2, -36, -14, 92, 8, 6, 24, -56, 44, -12, -36, 56, -68, -8, 1, -12, 0, -9, 0, -106, 28, 2, -3, 20, -22, 32, -4, 16, 6, 62, 20, -22, -2, -68, -12, -1, 40, 32, 1, 17, -108, -4, -4, -52, -22, 8, 4, 4, -26, 1, 6, -10, 0, 62, -6, -92, 14, -4, -22, -10, -29, -72, 8, 16, -26, 4, -36, -10, 0, 24, -10, -14, -38, 36, 0, -84, 20, 1, -16, -78, 8, 52, 6, 16, 18, -48, 9, -62, -57, 98, 20, -28, 18, 14, 18, 20, 54, -84, 1, 0, 40, 38, 6, -6, 1, -4, -2, -16, 64, -144, -33, -14, 12, 20, -24, -2, 6, 80, -4, -26, -44, -80, -6, -34, -4, -20, -7, -22, 48, 12, -16, 8, 8, 10, 14, 37, -46, 12, 38, 92, -2, -8, 16, 36, 30, 48, -10, 6, 14, -16, -2, 34, -4, 148, -8, 56, 8, 48, -3, 12, -78, 16, 20, 70, 46, 72, -14, -14, -8, -140, -2, 30, 108, -4, -20, 8, -18, 64, 40, -8, 72, -42, -3, -14, -38, -1, -17, 78, 2, -30, 12, 60, -8, -68, 4, -100, 1, -2, 4, -76, 32, -92, 22, 1, 28, -40, -2, 100, -50, 106, 31, 6, -2, -40, 1, -16, -22, 54, -20, 22, 96, -48, -30, 32, 2, -28, 4, -16, -56, 40, -2, 0, -119, 82, -18, -102, 1, 0, -2, 9, 76, 40, 14, 214, -48, 6, 0, 36, 18, -84, 84, 72, 6, 40, 8, 20, -10, -12, 2, 12, 12, 48, 8, 60, -12, 80, 1, 54, -4, -8, 40, -46, 48, -18, -8, 12, 16, 72, 1, 26, 6, -30, 2, -66, 4, 56, -38, 6, 134, -120, -28, 0, -64, -2, 9, 116, 12, 100, 46, -8, 16, -46, -3, -124, -74, 4, -32, -26, 4, 32, 3, -38, -54, -6, 20, -16, -32, -66, 38, -94, -2, 76, -18, 16, -2, 56, 10, -144, -94, -2, -68, -98, -70, 168, 56, 31, -4, -36, -16, 38, 104, -10, 6, -6, 28, -16, -20, -8, 52, -128, -2, 31, 110, -38, 28, -110, 0, 1, -2, 44, -42, -32, -8, -50, 14, -24, -36, -30, -2, 92, 56, 2, -112, -24, 1, 4, -22, -77, -8, 0, -28, -40, -18, -14, 32, 12, 26, -42, -8, 38, 6, -62, -3, 4, 60, -56, -20, 104, -10, 32, -4, 1, 8, 0, 54, 168, 1, -80, 42, -144, 7, 28, -38, -28, 26, -28, 56, -52, 36, -18, 36, -8, 20, -20, -94, 36, 14, 20, -6, 8, 64, 20, 46, 96, 1, -70, -64, -32, -2, -30, 80, 4, -14, 24, -92, -20, -18, -94, -44, -6, -16, -74, -10, 64, -4, 6, 4, 132, 0, 44, -12, 30, 10, 82, -10, -176, -32, -34, 48, -54, 6, -71, -44, -4, -38, 60, 0, -104, -3, 88, -36, -116, 1, 52, -24, 50, -10, 2, 36, -6, -2, 38, -116, -80, -30, -28, -36, 16, 24, -96, 6, -112, 0, -4, -8, -32, -20, -34, 4, 22, -36], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 336854
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '462.2.a.g', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '462.2.a.g', 'target_level': 462, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 336855
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '462.2.a.g', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1386.2.a.a', 'target_level': 1386, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336856
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '462.2.a.g', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3234.2.a.p', 'target_level': 3234, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336857
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '462.2.a.g', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '3696.2.a.m', 'target_level': 3696, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336858
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '462.2.a.g', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '5082.2.a.n', 'target_level': 5082, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336859
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '462.2.a.g', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '9702.2.a.r', 'target_level': 9702, 'twist_class_label': '462.2.a.g', 'twist_class_level': 462, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 923950
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 2}
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id: 923951
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 3}
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id: 923952
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 5}
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id: 923953
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 7}
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id: 923954
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 11}
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id: 923955
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 13}
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id: 923956
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 17}
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id: 923957
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 19}
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id: 923958
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 23}
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id: 923959
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 29}
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id: 923960
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 31}
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id: 923961
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 37}
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id: 923962
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 41}
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id: 923963
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 43}
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id: 923964
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 47}
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id: 923965
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 53}
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id: 923966
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 59}
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id: 923967
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 61}
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id: 923968
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 67}
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id: 923969
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 71}
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id: 923970
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 73}
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id: 923971
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 79}
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id: 923972
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 83}
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id: 923973
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 89}
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id: 923974
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 27021597797777870, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '462.2.a.g', 'level': 462, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 174565000
{'hecke_orbit_code': 27021597797777870, 'n': 1, 'trace_an': 1}
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id: 174565001
{'hecke_orbit_code': 27021597797777870, 'n': 2, 'trace_an': 1}
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id: 174565002
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id: 174565980
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id: 174565981
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id: 174565982
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id: 174565983
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id: 174565984
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id: 174565985
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id: 174565986
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id: 174565987
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id: 174565988
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id: 174565989
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id: 174565990
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id: 174565991
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id: 174565992
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id: 174565993
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id: 174565994
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id: 174565995
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id: 174565996
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id: 174565997
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id: 174565998
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id: 174565999
{'hecke_orbit_code': 27021597797777870, 'n': 1000, 'trace_an': -12}