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mf_newforms • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'analytic_rank': 1, '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_index': 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, [4, 1]], [13, [6, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543036878, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '462.2.a.e', 'level': 462, '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': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}-4q^{5}-q^{6}+q^{7}+\\cdots', 'related_objects': ['EllipticCurve/Q/462/e'], '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, -4, 1], 'trace_hash': 1734542168263096860, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.959', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.841', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [1, 1, -1, 1, -4, -1, 1, 1, 1, -4, -1, -1, -6, 1, 4, 1, -4, 1, -2, -4, -1, -1, -8, -1, 11, -6, -1, 1, -6, 4, 6, 1, 1, -4, -4, 1, -6, -2, 6, -4, 12, -1, 4, -1, -4, -8, 6, -1, 1, 11, 4, -6, 2, -1, 4, 1, 2, -6, 0, 4, 10, 6, 1, 1, 24, 1, 4, -4, 8, -4, -12, 1, 0, -6, -11, -2, -1, 6, -16, -4, 1, 12, -14, -1, 16, 4, 6, -1, -14, -4, -6, -8, -6, 6, 8, -1, -14, 1, -1, 11, 14, 4, -6, -6, 4, 2, -8, -1, 6, 4, 6, 1, 14, 2, 32, -6, -6, 0, -4, 4, 1, 10, -12, 6, -24, 1, 0, 1, -4, 24, -2, 1, -2, 4, 4, -4, 14, 8, 2, -4, -6, -12, 6, 1, 24, 0, -1, -6, -10, -11, -8, -2, -4, -1, -24, 6, -4, -16, -2, -4, -8, 1, 4, 12, -4, -14, -12, -1, 23, 16, -2, 4, 2, 6, 11, -1, 0, -14, -4, -4, -8, -6, -10, -8, 24, -6, 4, 6, -1, 8, 0, -1, -14, -14, -24, 1, 10, -1, 2, 11, -4, 14, -6, 4, -48, -6, -8, -6, 2, 4, -4, 2, 12, -8, -16, -1, 6, 6, 0, 4, 24, 6, 6, 1, 11, 14, 6, 2, 8, 32, 1, -6, -14, -6, -24, 0, 16, -4, -16, 4, -8, 1, -1, 10, -4, -12, 12, 6, 14, -24, -16, 1, 8, 0, -16, 1, 26, -4, -6, 24, -6, -2, 0, 1, -8, -2, 14, 4, -4, 4, -4, -4, 6, 14, -11, 8, -10, 2, 6, -4, 26, -6, -14, -12, -8, 6, 12, 1, -1, 24, 14, 0, -14, -1, 0, -6, 1, -10, 48, -11, 4, -8, -14, -2, -40, -4, -14, -1, 6, -24, 10, 6, -34, -4, -4, -16, -6, -2, 6, -4, 8, -8, 8, 1, -66, 4, -6, 12, 6, -4, 20, -14, -6, -12, -16, -1, 6, 23, -14, 16, -6, -2, 1, 4, -32, 2, 8, 6, 6, 11, 6, -1, -6, 0, 48, -14, 4, -4, 24, -4, -15, -8, -1, -6, 0, -10, -34, -8, 12, 24, 2, -6, -14, 4, 24, 6, 36, -1, 20, 8, 0, 0, -22, -1, 4, -14, 4, -14, 6, -24, 32, 1, 2, 10, 64, -1, -20, 2, 2, 11, -26, -4, -36, 14, -4, -6, 6, 4, 4, -48, -14, -6, 0, -8, 56, -6, -2, 2, 12, 4, 38, -4, 6, 2, -44, 12, 10, -8, -6, -16, -24, -1, 26, 6, -24, 6, 16, 0, -20, 4, 1, 24, 28, 6, 56, 6, 10, 1, 14, 11, -12, 14, 8, 6, 24, 2, 10, 8, 4, 32, 14, 1, -24, -6, 24, -14, 36, -6, 4, -24, 4, 0, -4, 16, -22, -4, 2, -16, 24, 4, 36, -8, 8, 1, 56, -1, 20, 10, -4, -4, -28, -12, 24, 12, 4, 6, -12, 14, -28, -24, 12, -16, 20, 1, -56, 8, -23, 0, 20, -16, 0, 1, 2, 26, 24, -4, -6, -6, -2, 24, 18, -6, -22, -2, -11, 0, -24, 1, 41, -8, 0, -2, -72, 14, 32, 4, 4, -4, -1, 4, -14, -4, 8, -4, -24, 6, 8, 14, 10, -11, 12, 8, -16, -10, -24, 2, -30, 6, -24, -4, -4, 26, -26, -6, -56, -14, 1, -12, 10, -8, -32, 6, 0, 12, -88, 1, -34, -1, 14, 24, -14, 14, -2, 0, 24, -14, 24, -1, -12, 0, -10, -6, -12, 1, 16, -10, -2, 48, 12, -11, 4, 4, 4, -8, -4, -14, -8, -2, 6, -40, -36, -4, -6, -14, 48, -1, 26, 6, -4, -24, 8, 10, -14, 6, 41, -34, -2, -4, 24, -4, 28, -16, 4, -6, 0, -2, -6, 6, -12, -4, 18, 8, 32, -8, 16, 8, 26, 1, 0, -66, -6, 4, 30, -6, 8, 12, 0, 6, -24, -4, 0, 20, -24, -14, 8, -6, 48, -12, -6, -16, -10, -1, -10, 6, -11, 23, 34, -14, -14, 16, -6, -6, -36, -2, -56, 1, -8, 4, -12, -32, 24, 2, -1, 8, -8, 6, -48, 6, 14, 11, -18, 6, 12, -1, 24, -6, 14, 0, -30, 48, -16, -14, -48, 4, -24, -4, 16, 24, 18, -4, -6, -15, 8, -8, -66, -1, -42, -6, 1, 0, -16, -10, 50, -34, 4, -8, -4, 12, -16, 24, -12, 2, 16, -6, 40, -14, -14, 4, -8, 24, -28, 6, 16, 36, 32, -1, 2, 20, -8, 8, 24, 0, 6, 0, 16, -22, 0, -1, 28, 4, -26, -14, -24, 4, 66, -14, 6, 6, -24, -24, 12, 32, 6, 1, 16, 2, -50, 10, 0, 64, 14, -1, -60, -20, 8, 2, 24, 2, -24, 11, -14, -26, 0, -4, 32, -36, 4, 14, -2, -4, 26, -6, 4, 6, -16, 4, -8, 4, -6, -48, -26, -14, 44, -6, 11, 0, -28, -8, 16, 56, 10, -6, -4, -2, 48, 2, -6, 12, -54, 4, 7, 38, -26, -4, -92, 6, 1, 2, 14, -44, 48, 12, -6, 10, 8, -8, -40, -6, 40, -16, -12, -24, -16, -1, -8, 26, 1, 6, 16, -24, -24, 6, -14, 16, -24, 0, -18, -20, 14, 4, -50, 1, 28, 24, 0, 28, -24, 6, 0, 56, -1, 6, -12, 10, 16, 1, -48, 14, -36, 11, -8, -12, -4, 14, 32, 8, 52, 6, 14, 24, 24, 2, 14, 10, 40, 8, -2, 4, 32, 32, 14, 14, 72, 1, -66, -24, -6, -6, 18, 24, -2, -14, -10, 36, -16, -6, -32, 4, 34, -24, -30, 4, -96, 0, 4, -4, 36, 16, 0, -22, 6, -4, 30, 2, 0, -16, -6, 24, 14, 4, 5, 36, -8, -8, 56, 8, -32, 1, -8, 56, -36, -1, 2, 20, 66, 10, 2, -4, 14, -4, 6, -28, -42, -12, -40, 24, -6, 12, -32, 4, 8, 6, -20, -12, -8, 14, -26, -28, 6, -24], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [-1], [1], [-4], [-1], [1], [1], [1], [-4], [-1], [-1], [-6], [1], [4], [1], [-4], [1], [-2], [-4], [-1], [-1], [-8], [-1], [11], [-6], [-1], [1], [-6], [4], [6], [1], [1], [-4], [-4], [1], [-6], [-2], [6], [-4], [12], [-1], [4], [-1], [-4], [-8], [6], [-1], [1], [11], [4], [-6], [2], [-1], [4], [1], [2], [-6], [0], [4], [10], [6], [1], [1], [24], [1], [4], [-4], [8], [-4], [-12], [1], [0], [-6], [-11], [-2], [-1], [6], [-16], [-4], [1], [12], [-14], [-1], [16], [4], [6], [-1], [-14], [-4], [-6], [-8], [-6], [6], [8], [-1], [-14], [1], [-1], [11]], 'ap': [[1], [-1], [-4], [1], [-1], [-6], [-4], [-2], [-8], [-6], [6], [-6], [12], [4], [6], [2], [0], [10], [4], [-12], [0], [-16], [-14], [-14], [-14], [14], [-6], [-8], [6], [14], [0], [-2], [14], [2], [-10], [-8], [-4], [4], [-12], [2], [-4], [-8], [0], [-14], [10], [2], [-4], [6], [6], [8], [-14], [-16], [-8], [-16], [26], [0], [-4], [-4], [-10], [26], [-14], [-14], [-14], [10], [-34], [-6], [20], [6], [8], [6], [-6], [24], [-34], [-14], [20], [-22], [6], [-20], [-26], [4], [12], [38], [-24], [26], [-20], [28], [14], [10], [14], [-24], [36], [24], [20], [-28], [-28], [20], [20], [18], [-22], [-14], [8], [-30], [-26], [10], [-32], [-34], [24], [-12], [12], [4], [-8], [-6], [26], [-4], [28], [18], [32], [26], [30], [-24], [0], [-10], [34], [-36], [24], [-18], [-30], [18], [-42], [50], [-16], [16], [-28], [2], [24], [28], [-24], [-50], [24], [-2], [26], [-26], [44], [-28], [16], [-54], [-6], [-40], [40], [-16], [-18], [-50], [28], [-24], [52], [24], [32], [18], [-32], [-30], [36], [30], [-32], [-36], [2], [-42], [8], [-26]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 18014398543036878, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '462.2.a.e', 'level': 462, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0], '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_index': 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_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': 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: 336842
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '462.2.a.e', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '462.2.a.e', 'target_level': 462, 'twist_class_label': '462.2.a.e', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 336843
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '462.2.a.e', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1386.2.a.e', 'target_level': 1386, 'twist_class_label': '462.2.a.e', 'twist_class_level': 462, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336844
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '462.2.a.e', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '3234.2.a.v', 'target_level': 3234, 'twist_class_label': '462.2.a.e', 'twist_class_level': 462, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336845
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '462.2.a.e', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3696.2.a.p', 'target_level': 3696, 'twist_class_label': '462.2.a.e', 'twist_class_level': 462, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336846
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '462.2.a.e', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '5082.2.a.a', 'target_level': 5082, 'twist_class_label': '462.2.a.e', 'twist_class_level': 462, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336847
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '462.2.a.e', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '9702.2.a.b', 'target_level': 9702, 'twist_class_label': '462.2.a.e', '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: 923900
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 2}
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id: 923901
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 3}
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id: 923902
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 5}
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id: 923903
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 7}
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id: 923904
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 11}
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id: 923905
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 13}
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id: 923906
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 17}
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id: 923907
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 19}
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id: 923908
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 23}
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id: 923909
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 29}
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id: 923910
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 31}
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id: 923911
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 37}
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id: 923912
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 41}
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id: 923913
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 43}
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id: 923914
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 47}
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id: 923915
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 53}
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id: 923916
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 59}
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id: 923917
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 61}
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id: 923918
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 67}
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id: 923919
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 71}
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id: 923920
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 73}
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id: 923921
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 79}
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id: 923922
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 83}
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id: 923923
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 89}
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id: 923924
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 18014398543036878, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '462.2.a.e', 'level': 462, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 37902499
{'hecke_orbit_code': 18014398543036878, 'n': 1, 'trace_an': 1}
-
id: 37902500
{'hecke_orbit_code': 18014398543036878, 'n': 2, 'trace_an': 1}
-
id: 37902501
{'hecke_orbit_code': 18014398543036878, 'n': 3, 'trace_an': -1}
-
id: 37902502
{'hecke_orbit_code': 18014398543036878, 'n': 4, 'trace_an': 1}
-
id: 37902503
{'hecke_orbit_code': 18014398543036878, 'n': 5, 'trace_an': -4}
-
id: 37902504
{'hecke_orbit_code': 18014398543036878, 'n': 6, 'trace_an': -1}
-
id: 37902505
{'hecke_orbit_code': 18014398543036878, 'n': 7, 'trace_an': 1}
-
id: 37902506
{'hecke_orbit_code': 18014398543036878, 'n': 8, 'trace_an': 1}
-
id: 37902507
{'hecke_orbit_code': 18014398543036878, 'n': 9, 'trace_an': 1}
-
id: 37902508
{'hecke_orbit_code': 18014398543036878, 'n': 10, 'trace_an': -4}
-
id: 37902509
{'hecke_orbit_code': 18014398543036878, 'n': 11, 'trace_an': -1}
-
id: 37902510
{'hecke_orbit_code': 18014398543036878, 'n': 12, 'trace_an': -1}
-
id: 37902511
{'hecke_orbit_code': 18014398543036878, 'n': 13, 'trace_an': -6}
-
id: 37902512
{'hecke_orbit_code': 18014398543036878, 'n': 14, 'trace_an': 1}
-
id: 37902513
{'hecke_orbit_code': 18014398543036878, 'n': 15, 'trace_an': 4}
-
id: 37902514
{'hecke_orbit_code': 18014398543036878, 'n': 16, 'trace_an': 1}
-
id: 37902515
{'hecke_orbit_code': 18014398543036878, 'n': 17, 'trace_an': -4}
-
id: 37902516
{'hecke_orbit_code': 18014398543036878, 'n': 18, 'trace_an': 1}
-
id: 37902517
{'hecke_orbit_code': 18014398543036878, 'n': 19, 'trace_an': -2}
-
id: 37902518
{'hecke_orbit_code': 18014398543036878, 'n': 20, 'trace_an': -4}
-
id: 37902519
{'hecke_orbit_code': 18014398543036878, 'n': 21, 'trace_an': -1}
-
id: 37902520
{'hecke_orbit_code': 18014398543036878, 'n': 22, 'trace_an': -1}
-
id: 37902521
{'hecke_orbit_code': 18014398543036878, 'n': 23, 'trace_an': -8}
-
id: 37902522
{'hecke_orbit_code': 18014398543036878, 'n': 24, 'trace_an': -1}
-
id: 37902523
{'hecke_orbit_code': 18014398543036878, 'n': 25, 'trace_an': 11}
-
id: 37902524
{'hecke_orbit_code': 18014398543036878, 'n': 26, 'trace_an': -6}
-
id: 37902525
{'hecke_orbit_code': 18014398543036878, 'n': 27, 'trace_an': -1}
-
id: 37902526
{'hecke_orbit_code': 18014398543036878, 'n': 28, 'trace_an': 1}
-
id: 37902527
{'hecke_orbit_code': 18014398543036878, 'n': 29, 'trace_an': -6}
-
id: 37902528
{'hecke_orbit_code': 18014398543036878, 'n': 30, 'trace_an': 4}
-
id: 37902529
{'hecke_orbit_code': 18014398543036878, 'n': 31, 'trace_an': 6}
-
id: 37902530
{'hecke_orbit_code': 18014398543036878, 'n': 32, 'trace_an': 1}
-
id: 37902531
{'hecke_orbit_code': 18014398543036878, 'n': 33, 'trace_an': 1}
-
id: 37902532
{'hecke_orbit_code': 18014398543036878, 'n': 34, 'trace_an': -4}
-
id: 37902533
{'hecke_orbit_code': 18014398543036878, 'n': 35, 'trace_an': -4}
-
id: 37902534
{'hecke_orbit_code': 18014398543036878, 'n': 36, 'trace_an': 1}
-
id: 37902535
{'hecke_orbit_code': 18014398543036878, 'n': 37, 'trace_an': -6}
-
id: 37902536
{'hecke_orbit_code': 18014398543036878, 'n': 38, 'trace_an': -2}
-
id: 37902537
{'hecke_orbit_code': 18014398543036878, 'n': 39, 'trace_an': 6}
-
id: 37902538
{'hecke_orbit_code': 18014398543036878, 'n': 40, 'trace_an': -4}
-
id: 37902539
{'hecke_orbit_code': 18014398543036878, 'n': 41, 'trace_an': 12}
-
id: 37902540
{'hecke_orbit_code': 18014398543036878, 'n': 42, 'trace_an': -1}
-
id: 37902541
{'hecke_orbit_code': 18014398543036878, 'n': 43, 'trace_an': 4}
-
id: 37902542
{'hecke_orbit_code': 18014398543036878, 'n': 44, 'trace_an': -1}
-
id: 37902543
{'hecke_orbit_code': 18014398543036878, 'n': 45, 'trace_an': -4}
-
id: 37902544
{'hecke_orbit_code': 18014398543036878, 'n': 46, 'trace_an': -8}
-
id: 37902545
{'hecke_orbit_code': 18014398543036878, 'n': 47, 'trace_an': 6}
-
id: 37902546
{'hecke_orbit_code': 18014398543036878, 'n': 48, 'trace_an': -1}
-
id: 37902547
{'hecke_orbit_code': 18014398543036878, 'n': 49, 'trace_an': 1}
-
id: 37902548
{'hecke_orbit_code': 18014398543036878, 'n': 50, 'trace_an': 11}
-
id: 37902549
{'hecke_orbit_code': 18014398543036878, 'n': 51, 'trace_an': 4}
-
id: 37902550
{'hecke_orbit_code': 18014398543036878, 'n': 52, 'trace_an': -6}
-
id: 37902551
{'hecke_orbit_code': 18014398543036878, 'n': 53, 'trace_an': 2}
-
id: 37902552
{'hecke_orbit_code': 18014398543036878, 'n': 54, 'trace_an': -1}
-
id: 37902553
{'hecke_orbit_code': 18014398543036878, 'n': 55, 'trace_an': 4}
-
id: 37902554
{'hecke_orbit_code': 18014398543036878, 'n': 56, 'trace_an': 1}
-
id: 37902555
{'hecke_orbit_code': 18014398543036878, 'n': 57, 'trace_an': 2}
-
id: 37902556
{'hecke_orbit_code': 18014398543036878, 'n': 58, 'trace_an': -6}
-
id: 37902557
{'hecke_orbit_code': 18014398543036878, 'n': 59, 'trace_an': 0}
-
id: 37902558
{'hecke_orbit_code': 18014398543036878, 'n': 60, 'trace_an': 4}
-
id: 37902559
{'hecke_orbit_code': 18014398543036878, 'n': 61, 'trace_an': 10}
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id: 37902560
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id: 37902756
{'hecke_orbit_code': 18014398543036878, 'n': 997, 'trace_an': -26}