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mf_newforms • Show schema
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{'Nk2': 3072, 'analytic_conductor': 6.132510875234334, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [768, 1, [511, 517, 257], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, '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]], [7, [2, 1]], [11, [0, 1]], [19, [-4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666688, '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': False, 'label': '768.2.a.d', 'level': 768, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '24.2.d.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+2q^{5}-2q^{7}+q^{9}+4q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/768/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '768.2.a', 'trace_display': [0, -1, 2, -2], 'trace_hash': 1636210429938901289, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.048', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.043', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.928', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.721', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [1, 0, -1, 0, 2, 0, -2, 0, 1, 0, 0, 0, 4, 0, -2, 0, -2, 0, 4, 0, 2, 0, 4, 0, -1, 0, -1, 0, 6, 0, -2, 0, 0, 0, -4, 0, 8, 0, -4, 0, -2, 0, 4, 0, 2, 0, 12, 0, -3, 0, 2, 0, 6, 0, 0, 0, -4, 0, -4, 0, 0, 0, -2, 0, 8, 0, -12, 0, -4, 0, 12, 0, 6, 0, 1, 0, 0, 0, -10, 0, 1, 0, 16, 0, -4, 0, -6, 0, 10, 0, -8, 0, 2, 0, 8, 0, -2, 0, 0, 0, -10, 0, -6, 0, 4, 0, 12, 0, -4, 0, -8, 0, -6, 0, 8, 0, 4, 0, 4, 0, -11, 0, 2, 0, -12, 0, 2, 0, -4, 0, -20, 0, -8, 0, -2, 0, -18, 0, -4, 0, -12, 0, 0, 0, 12, 0, 3, 0, -6, 0, -18, 0, -2, 0, -4, 0, -8, 0, -6, 0, -8, 0, -4, 0, 0, 0, 8, 0, 3, 0, 4, 0, -6, 0, 2, 0, 4, 0, 4, 0, -20, 0, 0, 0, 16, 0, 0, 0, 2, 0, 8, 0, -6, 0, -8, 0, -2, 0, 10, 0, 12, 0, -12, 0, -4, 0, 4, 0, 0, 0, 20, 0, -12, 0, 8, 0, 4, 0, -6, 0, -8, 0, -14, 0, -1, 0, 8, 0, 4, 0, 0, 0, -14, 0, 24, 0, 10, 0, 0, 0, 2, 0, -1, 0, -6, 0, 16, 0, -16, 0, 0, 0, 0, 0, 4, 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12, 0, -4, 0, -28, 0, 6, 0, 16, 0, 2, 0, 20, 0, 7, 0, -18, 0, 6, 0, 22, 0, -4, 0, 32, 0, -24, 0, 8, 0, -18, 0, -44, 0, -4, 0, -24, 0, -12, 0, 13, 0, 0, 0, -48, 0, -2, 0, 24, 0, 32, 0, -6, 0, 2, 0, -4, 0, 8, 0, 48, 0, -4, 0, 0, 0, 48, 0, 8, 0, -16, 0, -12, 0, -12, 0, 8, 0, -40, 0, -28, 0, -10, 0, 48, 0, 0, 0, 0, 0, 40, 0, 30, 0, 12, 0, 48, 0, -8, 0, -6, 0, -50, 0, -12, 0, 8, 0, 0, 0, -38, 0, 14, 0, -30, 0, -8, 0, 4, 0, -12, 0, 24, 0, -22, 0, 6, 0, 16, 0, 0, 0, 36, 0, -27, 0, 12, 0, -12, 0, -22, 0, 8, 0, 0, 0, 8, 0, 4, 0, -2, 0, 0, 0, -4, 0, -16, 0, -4, 0, 24, 0, 16, 0, -2, 0, 20, 0, 20, 0, 48, 0, -8, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [2], [0], [-2], [0], [1], [0], [0], [0], [4], [0], [-2], [0], [-2], [0], [4], [0], [2], [0], [4], [0], [-1], [0], [-1], [0], [6], [0], [-2], [0], [0], [0], [-4], [0], [8], [0], [-4], [0], [-2], [0], [4], [0], [2], [0], [12], [0], [-3], [0], [2], [0], [6], [0], [0], [0], [-4], [0], [-4], [0], [0], [0], [-2], [0], [8], [0], [-12], [0], [-4], [0], [12], [0], [6], [0], [1], [0], [0], [0], [-10], [0], [1], [0], [16], [0], [-4], [0], [-6], [0], [10], [0], [-8], [0], [2], [0], [8], [0], [-2], [0], [0], [0]], 'ap': [[0], [-1], [2], [-2], [0], [4], [-2], [4], [4], [6], [-2], [8], [-2], [4], [12], [6], [-4], [0], [-12], [12], [6], [-10], [16], [10], [-2], [-10], [-6], [12], [-4], [-6], [2], [-20], [-18], [-4], [-6], [-18], [-8], [-4], [8], [-6], [4], [-20], [8], [-6], [-2], [10], [20], [-14], [8], [4], [-14], [0], [2], [0], [18], [-16], [6], [18], [28], [18], [4], [6], [-12], [-8], [-14], [22], [-20], [-2], [-8], [16], [-6], [-20], [-18], [16], [-4], [-24], [34], [32], [-18], [-10], [24], [-20], [-12], [14], [-30], [24], [30], [22], [-30], [26], [8], [-20], [38], [20], [-36], [-36], [6], [-42], [-36], [-20], [28], [42], [-24], [30], [20], [-42], [-28], [-6], [-20], [-2], [2], [16], [2], [36], [22], [22], [-4], [-12], [-6], [-36], [-40], [14], [18], [-16], [-20], [-50], [4], [20], [-42], [4], [44], [-16], [-2], [-12], [38], [10], [-34], [-12], [2], [30], [-20], [-10], [14], [12], [-4], [20], [-24], [-18], [-44], [-24], [32], [2], [-4], [48], [-28], [48], [30], [-50], [-38], [-30], [-12], [6], [-22], [0], [-2], [-16], [-2], [48]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798915666688, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '768.2.a.d', 'level': 768, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 2, 2], [[[2, 1], [3, -1]], 6, 4], [[[2, -1], [3, 1]], 4, 3], [[[2, 1], [3, 1]], 4, 3]], 'ALdims': [4, 6, 4, 2], 'Nk2': 3072, 'analytic_conductor': 6.132510875234334, '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': [768, 1, [511, 517, 257], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 105, 'dim': 16, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 19], 'hecke_orbit_code': 33555200, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], 'label': '768.2.a', 'level': 768, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 152, 'mf_new_dim': 16, 'num_forms': 12, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 16, 'sturm_bound': 256, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 487585
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '24.2.d.a', 'target_level': 24, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 487586
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '72.2.d.b', 'target_level': 72, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 487587
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '96.2.d.a', 'target_level': 96, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 487588
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '288.2.d.b', 'target_level': 288, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 487589
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '600.2.d.b', 'target_level': 600, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 487590
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '600.2.d.c', 'target_level': 600, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 487591
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '600.2.k.b', 'target_level': 600, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 487592
{'conductor': 144, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '648.2.n.c', 'target_level': 648, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '144.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 487593
{'conductor': 144, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '648.2.n.k', 'target_level': 648, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '144.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 487594
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '768.2.a.a', 'target_level': 768, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 487595
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '768.2.a.d', 'target_level': 768, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 487596
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '768.2.a.e', 'target_level': 768, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487597
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '768.2.a.h', 'target_level': 768, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487598
{'conductor': 112, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1176.2.c.a', 'target_level': 1176, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '112.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 487599
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1800.2.d.b', 'target_level': 1800, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '240.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 487600
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1800.2.d.i', 'target_level': 1800, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '240.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 487601
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1800.2.k.a', 'target_level': 1800, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '240.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 487602
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2304.2.a.b', 'target_level': 2304, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487603
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2304.2.a.e', 'target_level': 2304, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 487604
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2304.2.a.l', 'target_level': 2304, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 487605
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '2304.2.a.o', 'target_level': 2304, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 487606
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2400.2.d.b', 'target_level': 2400, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 487607
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2400.2.d.c', 'target_level': 2400, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 487608
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2400.2.k.a', 'target_level': 2400, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 487609
{'conductor': 144, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2592.2.r.f', 'target_level': 2592, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '144.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 487610
{'conductor': 144, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2592.2.r.g', 'target_level': 2592, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '144.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 487611
{'conductor': 112, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4704.2.c.a', 'target_level': 4704, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '112.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 487612
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '7200.2.d.d', 'target_level': 7200, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '240.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 487613
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '7200.2.d.g', 'target_level': 7200, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '240.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 487614
{'conductor': 240, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '768.2.a.d', 'source_level': 768, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '7200.2.k.d', 'target_level': 7200, 'twist_class_label': '24.2.d.a', 'twist_class_level': 24, 'twisting_char_label': '240.bm', 'twisting_char_orbit': 39, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1299975
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 2}
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id: 1299976
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 3}
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id: 1299977
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 5}
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id: 1299978
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 7}
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id: 1299979
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 11}
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id: 1299980
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 13}
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id: 1299981
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 17}
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id: 1299982
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 19}
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id: 1299983
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 23}
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id: 1299984
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 29}
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id: 1299985
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 31}
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id: 1299986
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 37}
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id: 1299987
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 41}
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id: 1299988
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 43}
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id: 1299989
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 47}
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id: 1299990
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 53}
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id: 1299991
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 59}
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id: 1299992
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 61}
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id: 1299993
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 67}
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id: 1299994
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 71}
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id: 1299995
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 73}
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id: 1299996
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 79}
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id: 1299997
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 83}
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id: 1299998
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 89}
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id: 1299999
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915666688, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '768.2.a.d', 'level': 768, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 126131000
{'hecke_orbit_code': 13510798915666688, 'n': 1, 'trace_an': 1}
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id: 126131001
{'hecke_orbit_code': 13510798915666688, 'n': 2, 'trace_an': 0}
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id: 126131002
{'hecke_orbit_code': 13510798915666688, 'n': 3, 'trace_an': -1}
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id: 126131003
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{'hecke_orbit_code': 13510798915666688, 'n': 987, 'trace_an': 24}
-
id: 126131987
{'hecke_orbit_code': 13510798915666688, 'n': 988, 'trace_an': 0}
-
id: 126131988
{'hecke_orbit_code': 13510798915666688, 'n': 989, 'trace_an': 16}
-
id: 126131989
{'hecke_orbit_code': 13510798915666688, 'n': 990, 'trace_an': 0}
-
id: 126131990
{'hecke_orbit_code': 13510798915666688, 'n': 991, 'trace_an': -2}
-
id: 126131991
{'hecke_orbit_code': 13510798915666688, 'n': 992, 'trace_an': 0}
-
id: 126131992
{'hecke_orbit_code': 13510798915666688, 'n': 993, 'trace_an': 20}
-
id: 126131993
{'hecke_orbit_code': 13510798915666688, 'n': 994, 'trace_an': 0}
-
id: 126131994
{'hecke_orbit_code': 13510798915666688, 'n': 995, 'trace_an': 20}
-
id: 126131995
{'hecke_orbit_code': 13510798915666688, 'n': 996, 'trace_an': 0}
-
id: 126131996
{'hecke_orbit_code': 13510798915666688, 'n': 997, 'trace_an': 48}
-
id: 126131997
{'hecke_orbit_code': 13510798915666688, 'n': 998, 'trace_an': 0}
-
id: 126131998
{'hecke_orbit_code': 13510798915666688, 'n': 999, 'trace_an': -8}
-
id: 126131999
{'hecke_orbit_code': 13510798915666688, 'n': 1000, 'trace_an': 0}