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mf_newforms • Show schema
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{'Nk2': 3528, 'analytic_conductor': 7.04280545827693, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [882, 3, [785, 199], [2, 3]], 'cm_discs': [], 'conrey_index': 295, 'conrey_indexes': [295, 589], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [25, 10, 9, -2, 1]], [11, [4, 2, 1]], [13, [576, 0, 24, 0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532740277273458, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '882.2.f.j', 'level': 882, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '126.2.f.c', 'nf_label': '4.0.576.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{2})q^{2}+(-1-\\beta _{3})q^{3}-\\beta _{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '882.2.f', 'trace_display': [-2, -4, 2, 0], 'trace_hash': 763178405440580351, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.869', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '56.892', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [-1, 0, 1, 0], [-1, 0, 0, -1], [0, 0, -1, 0], [0, -1, 1, -1], [1, 1, -1, 0], [0, 0, 0, 0], [1, 0, 0, 0], [-1, 0, 0, 2], [-1, 2, 0, -1], [-2, 0, 2, 0], [0, -1, 1, 1], [0, 2, 0, 2], [0, 0, 0, 0], [-4, 2, 1, 0], [-1, 0, 1, 0], [-2, 0, 0, 0], [1, -2, -1, 0], [-5, 2, 0, -1], [1, -1, -1, 2], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 1, 0], [-1, 0, 0, -1], [-2, 2, 2, -4], [0, -4, 0, 2], [5, 0, 0, -1], [0, 0, 0, 0], [2, 2, -2, -4], [3, -2, -4, 2], [0, 0, 6, 0], [0, 0, -1, 0], [2, 2, -2, 0], [2, 0, -2, 0], [0, 0, 0, 0], [0, 2, 1, -2], [2, 8, 0, -4], [5, -1, -5, 2], [8, -2, -4, -2], [0, -1, 1, -1], [0, 4, 0, 4], [0, 0, 0, 0], [-2, -2, 2, 4], [2, 0, 0, 0], [8, -1, -5, 3], [-1, 0, 0, 0], [0, 4, 0, -8], [1, 1, -1, 0], [0, 0, 0, 0], [0, 2, -2, 2], [2, 0, 0, 2], [0, 2, 0, -4], [-6, -4, 0, 2], [-5, 1, 5, 0], [-2, 4, 0, -2], [0, 0, 0, 0], [7, -2, -4, 6], [0, 2, 2, 2], [0, 0, -2, 0], [1, 0, 3, -2], [9, -1, -9, 2], [-6, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [12, -2, -12, 4], [0, -2, 2, 2], [0, 2, 8, 2], [0, 0, 2, 0], [0, 1, -1, -1], [0, 0, 0, 0], [5, -4, 0, 2], [-1, 0, 0, 2], [2, 4, 0, -2], [-2, -4, 2, 8], [-2, 0, -6, 4], [0, -1, 5, -1], [0, 0, 0, 0], [-4, 4, 8, -2], [-3, 2, 3, -4], [-1, 2, 0, -1], [-7, 0, 0, -4], [0, -8, 0, 4], [2, 0, -2, 0], [0, 0, 0, 0], [0, 2, -2, 2], [0, -2, -2, -2], [-6, -4, -2, 4], [-2, 0, 2, 0], [12, 4, 0, -2], [-3, -2, 8, -1], [0, 0, 0, 0], [1, 0, -1, 0], [0, 6, -6, -6], [0, 4, 0, 4], [0, 6, -11, 6], [0, -1, 1, 1], [-2, 2, 2, -4], [0, 0, 0, 0], [2, -4, -2, 0], [2, -4, 0, 2]], 'ap': [[-1, 0, 1, 0], [-1, 0, 0, -1], [0, -1, 1, -1], [0, 0, 0, 0], [-2, 0, 2, 0], [0, 2, 0, 2], [-2, 0, 0, 0], [-5, 2, 0, -1], [0, 0, 1, 0], [2, 2, -2, -4], [0, 0, 6, 0], [2, 8, 0, -4], [0, 4, 0, 4], [-2, -2, 2, 4], [0, 4, 0, -8], [-6, -4, 0, 2], [0, 0, -2, 0], [9, -1, -9, 2], [0, 2, 8, 2], [5, -4, 0, 2], [2, 4, 0, -2], [-3, 2, 3, -4], [2, 0, -2, 0], [12, 4, 0, -2], [-2, 2, 2, -4], [-5, -5, 5, 10], [0, 0, 14, 0], [-12, 0, 0, 0], [-2, 12, 0, -6], [0, -2, 11, -2], [-3, 0, 0, 0], [0, 1, -11, 1], [2, -4, -2, 8], [0, -1, 7, -1], [0, 0, 6, 0], [5, 0, -5, 0], [0, -3, -1, -3], [-10, -8, 0, 4], [0, -6, 4, -6], [-8, 2, 8, -4], [6, 12, 0, -6], [3, 6, 0, -3], [-9, 2, 9, -4], [0, 2, 13, 2], [2, 12, 0, -6], [-2, 4, 0, -2], [0, -2, -8, -2], [-16, 2, 16, -4], [-3, -1, 3, 2], [0, 5, -11, 5], [-7, 0, 0, 0], [0, -4, 3, -4], [-4, 2, 4, -4], [-15, -2, 0, 1], [0, -4, 18, -4], [-21, -2, 21, 4], [11, 6, 0, -3], [-12, 4, 0, -2], [4, 6, -4, -12], [19, 0, -19, 0], [0, -1, -23, -1], [0, -5, 15, -5], [-13, -10, 0, 5], [0, 6, 16, 6], [10, -6, -10, 12], [-6, -6, 6, 12], [10, -6, -10, 12], [0, 12, -6, 12], [0, -8, 0, -8], [16, -2, -16, 4], [-6, 0, 6, 0], [1, -8, 0, 4], [-4, -4, 4, 8], [0, 2, 2, 2], [-2, 20, 0, -10], [0, -2, 2, -2], [20, 2, -20, -4], [-24, -12, 0, 6], [0, 2, 15, 2], [0, -4, -4, -4], [0, 1, 27, 1], [-18, -2, 18, 4], [12, 16, 0, -8], [-2, 8, 0, -4], [12, -4, -12, 8], [10, 2, -10, -4], [1, 16, 0, -8], [-7, 10, 7, -20], [13, -3, -13, 6], [0, -6, 11, -6], [-10, 0, 0, 0], [-10, 8, 10, -16], [-7, -24, 0, 12], [0, -4, -6, -4], [0, 12, -4, 12], [0, 20, 0, -10], [0, 2, -12, 2], [24, -12, 0, 6], [7, 6, 0, -3], [6, -20, 0, 10], [-12, 8, 12, -16], [-8, -4, 0, 2], [0, -11, -13, -11], [30, 0, -30, 0], [0, -4, -24, -4], [-4, 16, 0, -8], [-1, 7, 1, -14], [0, -12, 0, 6], [0, 4, 24, 4], [2, 6, -2, -12], [0, 6, 6, 6], [0, -12, 0, 6], [0, 12, -14, 12], [13, 7, -13, -14], [23, 4, 0, -2], [-17, 10, 17, -20], [0, -12, -10, -12], [36, 12, 0, -6], [0, -4, 0, -4], [10, 6, -10, -12], [0, -1, 7, -1], [-11, 8, 11, -16], [0, 6, 0, -12], [42, 8, 0, -4], [29, 9, -29, -18], [22, -24, 0, 12], [-8, -8, 8, 16], [0, -8, 0, 4], [16, -10, -16, 20], [0, -1, -15, -1], [-6, 16, 0, -8], [0, 0, -36, 0], [0, 8, -21, 8], [-6, -24, 0, 12], [0, 0, 2, 0], [0, -18, 10, -18], [-7, -22, 0, 11], [0, -12, 18, -12], [0, -11, 9, -11], [-26, 8, 0, -4], [2, 0, 0, 0], [-20, 8, 20, -16], [0, 12, -16, 12], [-12, -20, 0, 10], [-16, 12, 0, -6], [-40, 2, 40, -4], [-7, 13, 7, -26], [-30, -2, 30, 4], [0, 0, -10, 0], [7, 4, 0, -2], [0, -10, 2, -10], [0, -16, 0, 8], [-10, -8, 0, 4], [0, 4, -24, 4], [12, -6, -12, 12], [-3, -20, 3, 40], [-11, -12, 0, 6], [0, 14, 0, -28], [-26, -16, 0, 8], [0, -1, 1, -1], [-28, -10, 28, 20], [26, -24, 0, 12], [0, -8, -5, -8], [27, -22, 0, 11], [0, 8, 18, 8], [6, -16, -6, 32], [8, -8, 0, 4], [35, 7, -35, -14]], 'char_orbit_index': 6, 'field_poly': [4, 0, -2, 0, 1], 'hecke_orbit_code': 40532740277273458, 'hecke_ring_character_values': [[785, [0, 0, -1, 0]], [199, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '882.2.f.j', 'level': 882, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3528, 'analytic_conductor': 7.04280545827693, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [882, 3, [785, 199], [2, 3]], 'conrey_index': 295, 'cusp_dim': 304, 'dim': 82, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 343630938994, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '882.2.f', 'level': 882, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 368, 'mf_new_dim': 82, 'num_forms': 19, 'prim_orbit_index': 3, 'relative_dim': 41, 'sturm_bound': 336, 'trace_bound': 9, 'trace_display': [-1, -3, 4, 0], 'traces': [82, -1, -3, -41, 4, -5, 0, 2, -9, 0, -5, 0, 2, 0, 4, -41, 2, 10, -10, 4, 0, 3, -14, 1, -35, -4, 36, 0, 6, -12, 8, -1, -5, 3, 0, 3, -16, 13, -28, 0, 27, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 550823
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '126.2.f.c', 'target_level': 126, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 550824
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '126.2.f.c', 'target_level': 126, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 550825
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '378.2.f.d', 'target_level': 378, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 550826
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '378.2.f.d', 'target_level': 378, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 550827
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.2.e.m', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 550828
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.2.e.m', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 550829
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.2.e.n', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 550830
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.2.e.n', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 550831
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '882.2.f.j', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 550832
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '882.2.f.j', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 550833
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '882.2.h.k', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 550834
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '882.2.h.k', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 550835
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '882.2.h.l', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 550836
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '882.2.h.l', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 550837
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1008.2.r.e', 'target_level': 1008, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 550838
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1008.2.r.e', 'target_level': 1008, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '252.bi', 'twisting_char_orbit': 35, 'weight': 2}
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id: 550839
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1134.2.a.i', 'target_level': 1134, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 550840
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1134.2.a.p', 'target_level': 1134, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 550841
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.e.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 550842
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.e.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 550843
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2646.2.e.l', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 550844
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2646.2.e.l', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 550845
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.f.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 550846
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.f.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 550847
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2646.2.h.m', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 550848
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2646.2.h.m', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 550849
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2646.2.h.n', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 550850
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2646.2.h.n', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 550851
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3024.2.r.e', 'target_level': 3024, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 550852
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3024.2.r.e', 'target_level': 3024, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '252.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 550853
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '7938.2.a.bm', 'target_level': 7938, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 550854
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '7938.2.a.bn', 'target_level': 7938, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 550855
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '9072.2.a.bd', 'target_level': 9072, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '252.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 550856
{'conductor': 252, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '882.2.f.j', 'source_level': 882, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '9072.2.a.bk', 'target_level': 9072, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '252.bi', 'twisting_char_orbit': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1444300
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 2}
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id: 1444301
{'charpoly_factorization': [[[3, 2, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 3}
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id: 1444302
{'charpoly_factorization': [[[25, 10, 9, -2, 1], 1]], 'hecke_orbit_code': 40532740277273458, 'p': 5}
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id: 1444303
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 40532740277273458, 'p': 7}
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id: 1444304
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 11}
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id: 1444305
{'charpoly_factorization': [[[576, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 40532740277273458, 'p': 13}
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id: 1444306
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 40532740277273458, 'p': 17}
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id: 1444307
{'charpoly_factorization': [[[19, 10, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 19}
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id: 1444308
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 23}
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id: 1444309
{'charpoly_factorization': [[[400, 80, 36, -4, 1], 1]], 'hecke_orbit_code': 40532740277273458, 'p': 29}
-
id: 1444310
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 31}
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id: 1444311
{'charpoly_factorization': [[[-92, -4, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 37}
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id: 1444312
{'charpoly_factorization': [[[9216, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 40532740277273458, 'p': 41}
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id: 1444313
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 40532740277273458, 'p': 43}
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id: 1444314
{'charpoly_factorization': [[[9216, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 40532740277273458, 'p': 47}
-
id: 1444315
{'charpoly_factorization': [[[12, 12, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 53}
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id: 1444316
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 59}
-
id: 1444317
{'charpoly_factorization': [[[5625, -1350, 249, -18, 1], 1]], 'hecke_orbit_code': 40532740277273458, 'p': 61}
-
id: 1444318
{'charpoly_factorization': [[[1600, -640, 216, -16, 1], 1]], 'hecke_orbit_code': 40532740277273458, 'p': 67}
-
id: 1444319
{'charpoly_factorization': [[[1, -10, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 71}
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id: 1444320
{'charpoly_factorization': [[[-20, -4, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 73}
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id: 1444321
{'charpoly_factorization': [[[225, -90, 51, 6, 1], 1]], 'hecke_orbit_code': 40532740277273458, 'p': 79}
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id: 1444322
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 83}
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id: 1444323
{'charpoly_factorization': [[[120, -24, 1], 2]], 'hecke_orbit_code': 40532740277273458, 'p': 89}
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id: 1444324
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 40532740277273458, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 10, 'label': '882.2.f.j', 'level': 882, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 208903000
{'hecke_orbit_code': 40532740277273458, 'n': 1, 'trace_an': 4}
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id: 208903001
{'hecke_orbit_code': 40532740277273458, 'n': 2, 'trace_an': -2}
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id: 208903002
{'hecke_orbit_code': 40532740277273458, 'n': 3, 'trace_an': -4}
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id: 208903003
{'hecke_orbit_code': 40532740277273458, 'n': 4, 'trace_an': -2}
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id: 208903004
{'hecke_orbit_code': 40532740277273458, 'n': 5, 'trace_an': 2}
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id: 208903005
{'hecke_orbit_code': 40532740277273458, 'n': 6, 'trace_an': 2}
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{'hecke_orbit_code': 40532740277273458, 'n': 988, 'trace_an': 24}
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id: 208903988
{'hecke_orbit_code': 40532740277273458, 'n': 989, 'trace_an': -8}
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id: 208903989
{'hecke_orbit_code': 40532740277273458, 'n': 990, 'trace_an': -52}
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id: 208903990
{'hecke_orbit_code': 40532740277273458, 'n': 991, 'trace_an': 32}
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id: 208903991
{'hecke_orbit_code': 40532740277273458, 'n': 992, 'trace_an': 12}
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id: 208903992
{'hecke_orbit_code': 40532740277273458, 'n': 993, 'trace_an': 52}
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id: 208903993
{'hecke_orbit_code': 40532740277273458, 'n': 994, 'trace_an': 0}
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id: 208903994
{'hecke_orbit_code': 40532740277273458, 'n': 995, 'trace_an': -28}
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id: 208903995
{'hecke_orbit_code': 40532740277273458, 'n': 996, 'trace_an': 8}
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id: 208903996
{'hecke_orbit_code': 40532740277273458, 'n': 997, 'trace_an': 70}
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id: 208903997
{'hecke_orbit_code': 40532740277273458, 'n': 998, 'trace_an': 16}
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id: 208903998
{'hecke_orbit_code': 40532740277273458, 'n': 999, 'trace_an': 40}
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id: 208903999
{'hecke_orbit_code': 40532740277273458, 'n': 1000, 'trace_an': -36}