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mf_newforms • Show schema
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{'Nk2': 2040, 'analytic_conductor': 4.0723705030853, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [17, -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': [510, 1, [341, 307, 241], [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': [[7, [0, 1]], [11, [-4, 1]], [13, [-2, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170407422, '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': '510.2.a.f', 'level': 510, '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, 5, 17], 'level_radical': 510, 'minimal_twist': '510.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{3}+q^{4}-q^{5}+q^{6}+q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/510/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '510.2.a', 'trace_display': [1, 1, -1, 0], 'trace_hash': 578804144758778028, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.172', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, 'traces': [1, 1, 1, 1, -1, 1, 0, 1, 1, -1, 4, 1, 2, 0, -1, 1, 1, 1, -4, -1, 0, 4, 4, 1, 1, 2, 1, 0, 2, -1, -4, 1, 4, 1, 0, 1, -6, -4, 2, -1, -10, 0, -8, 4, -1, 4, 0, 1, -7, 1, 1, 2, 6, 1, -4, 0, -4, 2, -8, -1, 10, -4, 0, 1, -2, 4, -8, 1, 4, 0, 8, 1, -2, -6, 1, -4, 0, 2, 4, -1, 1, -10, 4, 0, -1, -8, 2, 4, -14, -1, 0, 4, -4, 0, 4, 1, -10, -7, 4, 1, -6, 1, 16, 2, 0, 6, 12, 1, -14, -4, -6, 0, 18, -4, -4, 2, 2, -8, 0, -1, 5, 10, -10, -4, -1, 0, -16, 1, -8, -2, 4, 4, 0, -8, -1, 1, -6, 4, -4, 0, 0, 8, 8, 1, -2, -2, -7, -6, 2, 1, 0, -4, 1, 0, 4, 2, -6, 4, 6, -1, 0, 1, 12, -10, -4, 4, 12, 0, -9, -1, -4, -8, 2, 2, 0, 4, -8, -14, 0, -1, -14, 0, 10, 4, 6, -4, 4, 0, 0, 4, 0, 1, 6, -10, -2, -7, 18, 4, -4, 1, -8, -6, 0, 1, 10, 16, 4, 2, -16, 0, 12, 6, 8, 12, 8, 1, 0, -14, -2, -4, 2, -6, 24, 0, 1, 18, 12, -4, 6, -4, 0, 2, -30, 2, 0, -8, 4, 0, 8, -1, 10, 5, 1, 10, 7, -10, -8, -4, 4, -1, 0, 0, 16, -16, -1, 1, 18, -8, 0, -2, 2, 4, 16, 4, -6, 0, -14, -8, -14, -1, -8, 1, 0, -6, 4, 4, 10, -4, -4, 0, -30, 0, 20, 8, 4, 8, 0, 1, 1, -2, -10, -2, 6, -7, 8, -6, 4, 2, 8, 1, 0, 0, -6, -4, -10, 1, 16, 0, 16, 4, -8, 2, -2, -6, 0, 4, 26, 6, 8, -1, 12, 0, -4, 1, 2, 12, -14, -10, 0, -4, 20, 4, -6, 12, 8, 0, 6, -9, 18, -1, -16, -4, 0, -8, -4, 2, 4, 2, -34, 0, 2, 4, -30, -8, -8, -14, 0, 0, 32, -1, -3, -14, 5, 0, 2, 10, 8, 4, -10, 6, 0, -4, 18, 4, -1, 0, 4, 0, 20, 4, -16, 0, -24, 1, 0, 6, -8, -10, -30, -2, 4, -7, 4, 18, -4, 4, 18, -4, 0, 1, 6, -8, -8, -6, -1, 0, -24, 1, 10, 10, -6, 16, 0, 4, -4, 2, -4, -16, 28, 0, 30, 12, 0, 6, 1, 8, 0, 12, 8, 8, -16, 1, -6, 0, -2, -14, -16, -2, 20, -4, -7, 2, -28, -6, 14, 24, 2, 0, -26, 1, -40, 18, 0, 12, 0, -4, 2, 6, 1, -4, -38, 0, -24, 2, 4, -30, -12, 2, 0, 0, -6, -8, -32, 4, -4, 0, 6, 8, 0, -1, -12, 10, 0, 5, 10, 1, -40, 10, 12, 7, 24, -10, 2, -8, -4, -4, 0, 4, 28, -1, 12, 0, -28, 0, 6, 16, -9, -16, -6, -1, 0, 1, -4, 18, -16, -8, 0, 0, 2, -2, 30, 2, -40, 4, 0, 16, -4, 4, -7, -6, -8, 0, -20, -14, -12, -8, 0, -14, -28, -1, -22, -8, -14, 1, 14, 0, -20, -6, 10, 4, -8, 4, 0, 10, 6, -4, 30, -4, -16, 0, 4, -30, 20, 0, -18, 20, 0, 8, 26, 4, -44, 8, 0, 0, 4, 1, -6, 1, 6, -2, 0, -10, 24, -2, -2, 6, -12, -7, 16, 8, 18, -6, -30, 4, 0, 2, -4, 8, 0, 1, 34, 0, -8, 0, -5, -6, -32, -4, 0, -10, 0, 1, 10, 16, 10, 0, 2, 16, 44, 4, 4, -8, 0, 2, 1, -2, -16, -6, -6, 0, 32, 4, 12, 26, 16, 6, -14, 8, 8, -1, -42, 12, -20, 0, 8, -4, -32, 1, -32, 2, 0, 12, 34, -14, -4, -10, -2, 0, 24, -4, 22, 20, 2, 4, 0, -6, 8, 12, 24, 8, 40, 0, -10, 6, 1, -9, 18, 18, 0, -1, 12, -16, 44, -4, 6, 0, 6, -8, 12, -4, -36, 2, 0, 4, 4, 2, -10, -34, -30, 0, 10, 2, 24, 4, 0, -30, 0, -8, 10, -8, 4, -14, -16, 0, -8, 0, 8, 32, -48, -1, 0, -3, 10, -14, 2, 5, 40, 0, 1, 2, -8, 10, 26, 8, 7, 4, -32, -10, -44, 6, -8, 0, 28, -4, -2, 18, 4, 4, 0, -1, -4, 0, 0, 4, 0, 0, -14, 20, 16, 4, 42, -16, 0, 0, -1, -24, -16, 1, 2, 0, 18, 6, 14, -8, -4, -10, 0, -30, 40, -2, 32, 4, 2, -7, 6, 4, 4, 18, 16, -4, 0, 4, 20, 18, -6, -4, 6, 0, 0, 1, -14, 6, -8, -8, 0, -8, -14, -6, 54, -1, -28, 0, -8, -24, -12, 1, 32, 10, 0, 10, -6, -6, 16, 16, 4, 0, 36, 4, 54, -4, 10, 2, -7, -4, -12, -16, -4, 28, 16, 0, -25, 30, -30, 12, 9, 0, 0, 6, 20, 1, -24, 8, -54, 0, 4, 12, 26, 8, 20, 8, 0, -16, -8, 1, -2, -6, 1, 0, 16, -2, -16, -14, -10, -16, 0, -2, 50, 20, 6, -4, -2, -7, 0, 2, 8, -28, 12, -6, 0, 14, 4, 24, 0, 2, 0, 0, 8, -26, -8, 1, 6, -40, 0, 18, 14, 0, -36, 12, -6, 0, 48, -4, 16, 2, -10, 6, 0, 1, 16, -4, 16, -38, 16, 0, -6, -24, 16, 2, -50, 4, 28, -30, -8, -12, -4, 2, 2, 0, -2, 0, -30, -6, -40, -8, 0, -32, -28, 4, -4, -4, 26, 0, -6, 6, 0, 8, 8, 0, 0, -1, -15, -12, 12, 10, -6, 0, 24, 5, -4, 10, 32, 1, 0, -40, 2, 10, 18, 12, -56, 7, -14, 24, -44, -10, -18, 2, 0, -8, -32, -4, -44, -4, 20, 0, 4, 4, 10, 28, -6, -1], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [1], [1], [1], [-1], [1], [0], [1], [1], [-1], [4], [1], [2], [0], [-1], [1], [1], [1], [-4], [-1], [0], [4], [4], [1], [1], [2], [1], [0], [2], [-1], [-4], [1], [4], [1], [0], [1], [-6], [-4], [2], [-1], [-10], [0], [-8], [4], [-1], [4], [0], [1], [-7], [1], [1], [2], [6], [1], [-4], [0], [-4], [2], [-8], [-1], [10], [-4], [0], [1], [-2], [4], [-8], [1], [4], [0], [8], [1], [-2], [-6], [1], [-4], [0], [2], [4], [-1], [1], [-10], [4], [0], [-1], [-8], [2], [4], [-14], [-1], [0], [4], [-4], [0], [4], [1], [-10], [-7], [4], [1]], 'ap': [[1], [1], [-1], [0], [4], [2], [1], [-4], [4], [2], [-4], [-6], [-10], [-8], [0], [6], [-8], [10], [-8], [8], [-2], [4], [4], [-14], [-10], [-6], [16], [12], [-14], [18], [-16], [4], [-6], [-4], [2], [0], [-6], [12], [12], [2], [0], [-14], [0], [6], [18], [-4], [12], [24], [12], [6], [-30], [8], [10], [0], [18], [16], [-14], [-8], [10], [-30], [20], [6], [16], [-8], [-2], [26], [20], [6], [4], [-34], [-30], [32], [8], [18], [20], [-24], [-30], [18], [6], [10], [28], [30], [-16], [-6], [20], [-28], [-26], [2], [-38], [-24], [-12], [0], [-40], [24], [28], [-28], [-6], [30], [-40], [-22], [-20], [30], [20], [26], [-44], [-6], [-12], [-30], [0], [34], [-32], [10], [2], [44], [32], [-42], [-20], [-32], [34], [24], [22], [-10], [18], [44], [-36], [10], [10], [-48], [40], [26], [-44], [28], [-4], [-14], [42], [2], [14], [4], [6], [54], [-28], [-6], [16], [36], [54], [16], [-54], [26], [20], [-8], [50], [-2], [0], [12], [-36], [48], [16], [-50], [2], [-30], [-28], [-6], [24], [32], [18], [-44], [-44], [10]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998170407422, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '510.2.a.f', 'level': 510, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0], 'Nk2': 2040, 'analytic_conductor': 4.0723705030853, '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': [510, 1, [341, 307, 241], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 101, 'dim': 9, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33554942, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2], 'label': '510.2.a', 'level': 510, '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, 5, 17], 'level_radical': 510, 'mf_dim': 116, 'mf_new_dim': 9, 'num_forms': 8, 'plus_dim': 1, 'prim_orbit_index': 1, 'relative_dim': 9, 'sturm_bound': 216, 'trace_bound': 7, 'trace_display': [1, -3, 1, 0], 'traces': [9, 1, -3, 9, 1, 1, 0, 1, 9, -3, 4, -3, 6, 0, 1, 9, 1, 1, 4, 1, 0, 4, 8, 1, 9, -10, -3, 0, 30, 1, 8, 1, 12, 1, 0, 9, 6, -12, -10, -3, 2, 8, 4, 4, 1, 0, 0, -3, 17, 1, 1, 6, 6, 1, 12, 0, -12, -10, 4, 1, 6, 0, 0, 9, -10, -4, -4, 1, 8, 8, -24, 1, -46, -18, -3, 4, 0, 6, 8, 1, 9, -38, -28, 0, -3, -28, -2, 4, -6, -3, -32, 8, -40, 0, 20, 1, -6, -39, 4, 9, -50, -3, -24, -10, 0, -26, 28, -3, 6, -4, -26, 0, -30, -12, -16, 30, 6, 4, -8, 1, -19, -34, -6, 8, 1, 0, -32, 1, -12, -10, 12, 12, 0, 12, 1, 1, -22, 0, -36, 0, -16, 8, -8, 9, 14, -38, -43, 6, 14, 1, -8, -12, 1, 32, 0, -10, -26, -16, 22, -3, 32, 1, -12, 2, -12, 20, 24, 8, -1, 1, 4, 4, 30, 14, 0, 4, 4, -22, 44, 1, -34, 48, -2, 0, 22, 0, 4, 0, 0, -12, 0, -3, 58, 2, -2, 17, -10, 4, -16, 1, -4, 14, 0, 1, 10, 24, 8, 6, 48, 0, 20, 6, 8, 28, 12, 1, 0, 30, 18, 12, -2, 22, 32, 0, 9, 2, -28, -12, 22, 8, -16, -10, 42, -10, -16, 4, 24, -8, 0, 1, 18, 5, -3, 6, 25, 2, 24, 0, 4, -3, 36, 0, 16, 16, 1, 9, 2, 12, 48, -10, 30, 44, 40, -4, -2, 32, 2, -4, -98, 1, -16, 1, 16, -54, 4, 8, 6, -4, 8, 8, 26, 16, -52, -24, -12, 24, 32, 1, 9, -18, -38, -46, 6, 25, 12, -18, 12, -2, 48, -3, 32, 40, 38, 4, -18, 1, 28, 0, -16, 8, 24, 6, 2, 6, 0, 8, 110, -2, 8, 1, 12, 16, -12, 9, 6, 36, -34, -38, -112, -12, 60, -28, 6, 32, 4, 0, 74, -41, 18, -3, -48, -12, -48, -28, 16, -42, -4, -2, 14, 0, -10, 4, -62, -20, -24, -6, 0, 28, 88, -3, -27, -58, 17, -32, -14, 30, -24, 8, 2, 22, 64, -40, 142, 4, 1, 0, 20, 8, -4, 20, 24, 32, 0, 1, -16, 2, 4, -6, -66, -2, 16, -39, 20, 30, 48, 4, -34, 56, -32, 9, -22, -28, 16, -50, 1, 16, -24, -3, -102, 2, -38, -24, -112, 0, -12, -10, 12, -16, -20, 0, -26, 52, 0, -26, 1, 16, -128, 28, 24, 4, -80, -3, -78, -48, 6, 6, -32, -6, -112, -4, 17, -2, 44, -26, 26, -16, 54, 0, -6, 1, -72, -30, -8, -12, -80, -12, -22, 38, 1, -16, -26, -16, 16, 30, -16, -70, -76, 6, -64, 16, 54, 4, -16, 32, 4, -8, 6, 0, -96, 1, 20, 50, -48, -19, -38, 1, -32, -34, 20, -43, -60, -6, -10, 24, 12, 8, 64, 20, -28, 1, -8, -12, 56, 0, -26, 48, -37, -32, -58, -7, 64, 1, -12, -14, -48, -12, -96, 0, -34, -10, -14, -10, 4, 12, 0, -40, 0, 12, -47, -42, 4, 0, -36, -6, -20, 12, -4, 6, -92, 1, 38, -32, -10, 1, 30, -64, 132, -22, 6, 4, 24, 0, 128, -2, -18, -36, -34, 0, 136, 0, 12, -22, -28, -16, -54, -4, 0, 8, 170, 4, -84, -8, -16, -64, 8, 9, -30, 1, -22, 14, -64, -14, 56, -38, -10, 22, 28, -43, 32, -12, 22, 6, -14, -4, 0, 14, 32, 16, 40, 1, 154, 112, -4, -8, -27, 22, 8, -12, 0, -2, 80, 1, 14, 60, 26, 32, -54, 16, 60, 0, 8, 24, 32, -10, 9, -22, -48, -26, -18, 8, -24, -16, 4, 22, 8, 22, 38, -24, -24, -3, 26, 28, 84, 32, 12, 4, -88, 1, -48, -10, 16, -12, 78, -50, -28, 2, -46, 16, -20, -12, -26, 60, 14, 20, -32, -18, 0, 24, 40, 12, -24, 8, -6, -78, -3, -1, 86, 58, 96, 1, 4, 48, 140, 4, 50, -48, -34, 4, -28, -24, -28, 30, 0, 44, 76, 14, 2, 14, -70, 0, 70, 6, 56, 4, 0, 50, 144, 4, 14, 16, 8, -22, -64, 8, -8, 44, 64, -8, -48, 1, 0, -3, 74, -34, 30, -27, 56, 48, 9, 10, -36, -2, -26, 136, -23, 0, -16, -38, -60, 22, -8, -64, 72, 0, 6, 62, -28, 4, -112, 1, 120, 0, 20, -44, 8, 0, 62, 140, 48, -12, -22, -40, -144, 0, -3, -16, -40, -3, 2, -16, 34, 58, 54, -28, 8, 2, -16, 14, 8, -2, 0, -24, -2, 17, 6, -12, 52, -10, 24, 24, -48, 4, 164, -42, 6, -16, 94, -32, 16, 1, -6, -110, 24, -4, -48, -48, 78, 14, 50, -3, 44, 0, 48, 72, -28, 1, 112, -6, -32, 10, 54, 18, 0, 24, 12, 32, 172, 8, -34, -28, 6, 6, -39, -4, 16, 48, -40, -52, 40, 0, -97, -26, -94, 20, 23, 0, -64, 6, 60, 1, -32, 8, -58, 16, 20, 28, -38, -8, 12, 12, -64, -16, 16, 1, 14, -14, -3, 0, 112, 14, -8, 30, -6, 64, 0, 18, 94, 8, 54, 12, 74, -39, -36, -2, 28, -116, -88, 22, 96, 2, 4, 32, -128, -10, -28, 0, -32, 34, -32, 9, 6, -72, -32, 2, 6, 8, -100, -28, -50, 32, 208, -12, -16, -86, -18, 22, -160, -3, -72, 8, 12, 38, -32, -16, 6, 64, -24, -10, -182, 8, 100, 42, -8, -44, 12, -10, 42, 48, 18, -16, -2, 22, 16, 4, 0, 16, -12, 24, 28, -12, -82, -8, 26, -26, -16, 0, 56, 0, -48, 1, -55, -76, 28, 18, -22, 0, 24, 5, 20, -30, 52, -3, -80, 16, -10, 6, -174, -60, -88, 25, 6, 52, -168, 2, 22, -2, 144, 24, 80, -4, -56, 0, 44, -80, -8, 4, -138, -28, -26, -3], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 360058
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '510.2.a.f', 'source_level': 510, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '510.2.a.f', 'target_level': 510, 'twist_class_label': '510.2.a.f', 'twist_class_level': 510, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 360059
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '510.2.a.f', 'source_level': 510, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1530.2.a.f', 'target_level': 1530, 'twist_class_label': '510.2.a.f', 'twist_class_level': 510, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360060
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '510.2.a.f', 'source_level': 510, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2550.2.a.d', 'target_level': 2550, 'twist_class_label': '510.2.a.f', 'twist_class_level': 510, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360061
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '510.2.a.f', 'source_level': 510, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2550.2.d.s', 'target_level': 2550, 'twist_class_label': '510.2.a.f', 'twist_class_level': 510, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 360062
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '510.2.a.f', 'source_level': 510, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4080.2.a.c', 'target_level': 4080, 'twist_class_label': '510.2.a.f', 'twist_class_level': 510, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 360063
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '510.2.a.f', 'source_level': 510, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '7650.2.a.bw', 'target_level': 7650, 'twist_class_label': '510.2.a.f', 'twist_class_level': 510, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 360064
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '510.2.a.f', 'source_level': 510, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '8670.2.a.r', 'target_level': 8670, 'twist_class_label': '510.2.a.f', 'twist_class_level': 510, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 981325
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 2}
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id: 981326
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 3}
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id: 981327
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 5}
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id: 981328
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 7}
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id: 981329
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 11}
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id: 981330
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 13}
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id: 981331
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 17}
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id: 981332
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 19}
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id: 981333
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 23}
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id: 981334
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 29}
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id: 981335
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 31}
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id: 981336
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 37}
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id: 981337
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 41}
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id: 981338
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 43}
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id: 981339
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 47}
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id: 981340
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 53}
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id: 981341
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 59}
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id: 981342
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 61}
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id: 981343
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 67}
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id: 981344
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 71}
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id: 981345
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 73}
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id: 981346
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 79}
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id: 981347
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 83}
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id: 981348
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 89}
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id: 981349
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 22517998170407422, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '510.2.a.f', 'level': 510, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 41804233
{'hecke_orbit_code': 22517998170407422, 'n': 1, 'trace_an': 1}
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id: 41804234
{'hecke_orbit_code': 22517998170407422, 'n': 2, 'trace_an': 1}
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id: 41804235
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id: 41804490
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