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mf_newforms • Show schema
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{'Nk2': 2835, 'analytic_conductor': 1.414849310814562, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 315, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 61, 'char_orbit_label': 'ci', 'char_order': 12, 'char_parity': -1, 'char_values': [2835, 12, [1541, 1702, 2026], [2, 9, 6]], 'cm_discs': [], 'conrey_index': 188, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[13, [4, 4, 2, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4507722812754707, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 35, 6, 1, 4, 0], [1, 1, 105, 11, -1, 4, 0], [1, 1, 315, 54, 1, 12, 0], [1, 1, 315, 58, -1, 12, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2835.1.ci.b', 'level': 2835, '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': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '945.1.n.a', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 58, 'projective_field': [-24, 9, -9, -1, 1], 'projective_field_label': '4.2.165375.1', 'projective_image': 'S4', 'projective_image_type': 'S4', 'qexp_display': 'q+\\zeta_{24}^{7}q^{2}+\\zeta_{24}^{11}q^{5}+\\zeta_{24}^{4}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2835.1.ci', 'trace_display': [0, 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mf_hecke_nf • Show schema
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{'an': [[[1, 0]], [[1, 7]], [], [], [[1, 11]], [], [[1, 4]], [[1, 9]], [], [[-1, 6]], [[1, 1], [-1, 7]], [], [[1, 2], [1, 8]], [[1, 11]], [], [[-1, 4]], [[-1, 9]], [], [[1, 0]], [], [], [[1, 2], [1, 8]], [[1, 5]], [], [[-1, 10]], [[-1, 3], [1, 9]], [], [], [], [], [[-1, 2]], [], [], [[1, 4]], [[-1, 3]], [], [], [[1, 7]], [], [[-1, 8]], [], [], [], [], [], [[-1, 0]], [], [], [[1, 8]], [[1, 5]], [], [], [[1, 9]], [], [[-1, 0], [1, 6]], [[-1, 1]], [], [], [], [], [[1, 10]], [[-1, 9]], [], [[-1, 6]], [[-1, 1], [-1, 7]], [], [[-1, 2], [-1, 8]], [], [], [[-1, 10]], [], [], [], [], [], [], [[1, 5], [-1, 11]], [], [[1, 10]], [[1, 3]], [], [], [[1, 7]], [], [[1, 8]], [], [], [[1, 4], [1, 10]], [[-1, 3], [-1, 9]], [], [[-1, 0], [1, 6]], [], [], [], [[1, 11]], [], [[-1, 4], [-1, 10]], [[-1, 3]], [], []], 'ap': [[[1, 7]], [], [[1, 11]], [[1, 4]], [[1, 1], [-1, 7]], [[1, 2], [1, 8]], [[-1, 9]], [[1, 0]], [[1, 5]], [], [[-1, 2]], [], [], [], [], [[1, 9]], [], [[1, 10]], [[-1, 2], [-1, 8]], [], [], [[1, 10]], [[1, 7]], [[-1, 3], [-1, 9]], [[-1, 4], [-1, 10]], [[1, 1], [1, 7]], [[-1, 2], [-1, 8]], [], [[1, 6]], [], [], [], [[1, 7]], [], [], [], [[1, 2], [-1, 8]], [], [[1, 5]], [[-1, 7]], [], [[-1, 6]], [], [[-1, 2], [1, 8]], [[-1, 3]], [], [[-1, 8]], [], [[1, 1]], [[-1, 8]], [], [[-1, 5], [-1, 11]], [[1, 10]], [[1, 3], [-1, 9]], [[-1, 5]], [[-1, 1], [-1, 1]], [], [[-1, 6]], [], [], [], [[-1, 11]], [], [[-1, 5], [-1, 11]], [], [[-1, 7]], [], [[1, 2], [1, 8]], [], [[1, 4]], [], [[1, 3], [-1, 9]], [[1, 4], [1, 10]], [], [[1, 6]], [[1, 11]], [[-1, 1], [-1, 7]], [], [[-1, 5], [1, 11]], [[1, 8]], [[1, 5], [-1, 11]], [[-1, 4]], [[-1, 3], [-1, 9]], [], [[1, 4]], [[1, 1]], [[-1, 3], [1, 9]], [[1, 4], [-1, 10]], [[-1, 1], [-1, 7]], [[1, 2], [-1, 8]], [[1, 9]], [[-1, 1], [1, 7]], [[1, 0], [-1, 6]], [[1, 5], [-1, 11]], [[1, 2]], [[1, 3]], [], [[1, 3], [-1, 9]], [], [], [[1, 4], [-1, 10]], [], [], [[1, 1], [1, 7]], [[1, 8]], [[-1, 0], [-1, 6]], [[1, 1]], [[-1, 3]], [[-1, 5], [-1, 11]], [[-1, 10]], [], [[-1, 0], [-1, 6]], [[1, 11]], [[1, 4], [1, 4]], [[-1, 0]], [[1, 1], [-1, 7]], [], [[1, 9]], [[1, 5]], [[-1, 1], [-1, 7]], [[-1, 2], [-1, 2]], [], [], [[-1, 9]], [[-1, 10]], [[1, 3], [1, 9]], [], [[-1, 3], [-1, 9]], [], [[1, 2], [1, 8]], [[1, 6]], [], [[1, 8]], [[-1, 0], [1, 6]], [[-1, 5], [-1, 11]], [[-1, 8]], [[-1, 3]], [[-1, 2], [1, 8]], [[1, 5]], [], [], [[-1, 1], [1, 7]], [], [[1, 3]], [], [[-1, 1], [1, 7]], [], [[-1, 1]], [[1, 8]], [[-1, 9]], [[-1, 2], [-1, 8]], [], [], [[-1, 5]], [[-1, 4], [1, 10]], [], [], [[-1, 1], [1, 7]], [], [], [[-1, 7]], [], [], [[1, 3], [-1, 9]], [[1, 11], [1, 11]], [[-1, 7]], [[1, 0]], [], [[-1, 6]], [[1, 11]], [[1, 1], [1, 7]], [[-1, 2]], [], [[-1, 4], [-1, 10]], [[-1, 8]], [], [[1, 4]], [[1, 3], [1, 9]], [[1, 0], [-1, 6]], [[-1, 4], [-1, 4]], [[-1, 4], [1, 10]], [], [], [], [[-1, 5]], [[1, 1], [-1, 7]], [], [[-1, 4], [1, 10]], [[-1, 2]], [[-1, 3], [1, 9]], [[-1, 0], [1, 6]], [[1, 1]], [[1, 0]], [], [[1, 3]], [[1, 11]], [[1, 8]], [], [[-1, 1], [-1, 1]], [], [[-1, 5], [-1, 11]], [], [[-1, 2], [1, 8]], [[1, 4]], [[1, 3], [1, 9]], [], [], [[-1, 5]], [[-1, 1], [-1, 7]], [[1, 2], [1, 2]], [], [], [[-1, 4], [-1, 10]], [], [[1, 5], [-1, 11]], [[-1, 10]], [[-1, 2], [-1, 8]], [], [[-1, 3]], [[-1, 5]], [[-1, 8], [-1, 8]], [[-1, 8]], [[1, 5], [1, 11]], [[1, 0], [1, 6]], [[-1, 5]], [[-1, 10]], [[1, 7]], [], [], [[-1, 1], [1, 7]], [[1, 2], [-1, 8]], [[1, 0]], [], [], [], [[-1, 1]], [[1, 8]], [[1, 9]], [[1, 5], [1, 11]], [], [], [[1, 6]], [[1, 2], [1, 8]], [[1, 6]], [[-1, 11], [-1, 11]], [[1, 1], [-1, 7]], [[-1, 0], [-1, 6]], [], [], [[-1, 9]], [[1, 2], [1, 8]], [], [[-1, 11]], [[1, 4]], [[1, 7]], [], [[-1, 0]], [[-1, 4], [-1, 10]], [[1, 9]], [[1, 0], [1, 6]], [], [[1, 7]], [[-1, 8]], [[-1, 0], [1, 6]], [[1, 5]], [], [[1, 3], [-1, 9]], [[-1, 1], [-1, 7]], [], [], [[-1, 2]], [], [], [[1, 2]], [[1, 2], [-1, 8]], [], [[1, 11]], [[1, 10]], [[-1, 0]], [], [], [[1, 8]], [[1, 1]], [[-1, 10]], [], [], [], [[-1, 11], [-1, 11]], [[-1, 4]], [], [], [[-1, 9]], [[-1, 5], [-1, 5]], [[1, 5], [1, 11]], [[-1, 4], [-1, 10]], [[-1, 5], [1, 11]], [[-1, 10]], [], [[1, 3], [1, 9]], [[1, 4], [1, 10]], [], [[1, 3]], []], 'char_orbit_index': 61, 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'hecke_orbit_code': 4507722812754707, 'hecke_ring_character_values': [[1541, [[-1, 8]]], [1702, [[-1, 6]]], [2026, [[-1, 0]]]], 'hecke_ring_cyclotomic_generator': 24, 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '2835.1.ci.b', 'level': 2835, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 2835, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.414849310814562, 'char_conductor': 315, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 61, 'char_orbit_label': 'ci', 'char_order': 12, 'char_parity': -1, 'char_values': [2835, 12, [1541, 1702, 2026], [2, 9, 6]], 'conrey_index': 188, 'cusp_dim': 16, 'dihedral_dim': 0, 'dim': 16, 'eis_dim': 96, 'eis_new_dim': 16, 'hecke_orbit_code': 4123185384211, 'hecke_orbit_dims': [8, 8], 'label': '2835.1.ci', 'level': 2835, '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': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'mf_dim': 112, 'mf_new_dim': 32, 'num_forms': 2, 'prim_orbit_index': 58, 'relative_dim': 4, 's4_dim': 16, 'sturm_bound': 432, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [16, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 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, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, -8, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 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, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 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, 8, 0, 0, 16, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -16, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -16, 0, 0, 8, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 1006335
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '945.1.n.a', 'target_level': 945, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 1006336
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '945.1.n.a', 'target_level': 945, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 1006337
{'conductor': 315, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '945.1.n.a', 'target_level': 945, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '315.cb', 'twisting_char_orbit': 54, 'weight': 1}
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id: 1006338
{'conductor': 315, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '945.1.n.a', 'target_level': 945, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '315.cf', 'twisting_char_orbit': 58, 'weight': 1}
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id: 1006339
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '945.1.n.b', 'target_level': 945, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 1}
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id: 1006340
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '945.1.n.b', 'target_level': 945, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 1}
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id: 1006341
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '945.1.n.b', 'target_level': 945, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 1}
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id: 1006342
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '945.1.n.b', 'target_level': 945, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 1}
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id: 1006343
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2835.1.ci.a', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 1006344
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2835.1.ci.a', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 1006345
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2835.1.ci.a', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 1}
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id: 1006346
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2835.1.ci.a', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 1006347
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2835.1.ci.a', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 1}
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id: 1006348
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2835.1.ci.a', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 1}
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id: 1006349
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2835.1.ci.a', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 1}
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id: 1006350
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2835.1.ci.a', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 1}
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id: 1006351
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2835.1.ci.b', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 1006352
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2835.1.ci.b', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 1006353
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2835.1.ci.b', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 1006354
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2835.1.ci.b', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 1006355
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2835.1.ci.b', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 1}
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id: 1006356
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2835.1.ci.b', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 1}
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id: 1006357
{'conductor': 315, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2835.1.ci.b', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '315.cb', 'twisting_char_orbit': 54, 'weight': 1}
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id: 1006358
{'conductor': 315, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 61, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '2835.1.ci.b', 'source_level': 2835, 'target_char_orbit': 61, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2835.1.ci.b', 'target_level': 2835, 'twist_class_label': '945.1.n.a', 'twist_class_level': 945, 'twisting_char_label': '315.cf', 'twisting_char_orbit': 58, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 2873025
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4507722812754707, 'p': 2}
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id: 2873026
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507722812754707, 'p': 3}
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id: 2873027
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4507722812754707, 'p': 5}
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id: 2873028
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 4507722812754707, 'p': 7}
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id: 2873029
{'charpoly_factorization': [[[4, 0, -2, 0, 1], 2]], 'hecke_orbit_code': 4507722812754707, 'p': 11}
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id: 2873030
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 2]], 'hecke_orbit_code': 4507722812754707, 'p': 13}
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id: 2873031
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4507722812754707, 'p': 17}
-
id: 2873032
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 4507722812754707, 'p': 19}
-
id: 2873033
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4507722812754707, 'p': 23}
-
id: 2873034
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507722812754707, 'p': 29}
-
id: 2873035
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 4507722812754707, 'p': 31}
-
id: 2873036
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507722812754707, 'p': 37}
-
id: 2873037
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507722812754707, 'p': 41}
-
id: 2873038
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507722812754707, 'p': 43}
-
id: 2873039
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507722812754707, 'p': 47}
-
id: 2873040
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 2]], 'hecke_orbit_code': 4507722812754707, 'p': 53}
-
id: 2873041
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507722812754707, 'p': 59}
-
id: 2873042
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 4507722812754707, 'p': 61}
-
id: 2873043
{'charpoly_factorization': [[[4, -4, 2, -2, 1], 2]], 'hecke_orbit_code': 4507722812754707, 'p': 67}
-
id: 2873044
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507722812754707, 'p': 71}
-
id: 2873045
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4507722812754707, 'p': 73}
-
id: 2873046
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 4507722812754707, 'p': 79}
-
id: 2873047
{'charpoly_factorization': [[[1, 0, 0, 0, -1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4507722812754707, 'p': 83}
-
id: 2873048
{'charpoly_factorization': [[[2, 0, 1], 4]], 'hecke_orbit_code': 4507722812754707, 'p': 89}
-
id: 2873049
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 2]], 'hecke_orbit_code': 4507722812754707, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 61, 'hecke_orbit': 2, 'label': '2835.1.ci.b', 'level': 2835, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 25725931
{'hecke_orbit_code': 4507722812754707, 'n': 1, 'trace_an': 8}
-
id: 25725932
{'hecke_orbit_code': 4507722812754707, 'n': 2, 'trace_an': 0}
-
id: 25725933
{'hecke_orbit_code': 4507722812754707, 'n': 3, 'trace_an': 0}
-
id: 25725934
{'hecke_orbit_code': 4507722812754707, 'n': 4, 'trace_an': 0}
-
id: 25725935
{'hecke_orbit_code': 4507722812754707, 'n': 5, 'trace_an': 0}
-
id: 25725936
{'hecke_orbit_code': 4507722812754707, 'n': 6, 'trace_an': 0}
-
id: 25725937
{'hecke_orbit_code': 4507722812754707, 'n': 7, 'trace_an': 4}
-
id: 25725938
{'hecke_orbit_code': 4507722812754707, 'n': 8, 'trace_an': 0}
-
id: 25725939
{'hecke_orbit_code': 4507722812754707, 'n': 9, 'trace_an': 0}
-
id: 25725940
{'hecke_orbit_code': 4507722812754707, 'n': 10, 'trace_an': 0}
-
id: 25725941
{'hecke_orbit_code': 4507722812754707, 'n': 11, 'trace_an': 0}
-
id: 25725942
{'hecke_orbit_code': 4507722812754707, 'n': 12, 'trace_an': 0}
-
id: 25725943
{'hecke_orbit_code': 4507722812754707, 'n': 13, 'trace_an': -4}
-
id: 25725944
{'hecke_orbit_code': 4507722812754707, 'n': 14, 'trace_an': 0}
-
id: 25725945
{'hecke_orbit_code': 4507722812754707, 'n': 15, 'trace_an': 0}
-
id: 25725946
{'hecke_orbit_code': 4507722812754707, 'n': 16, 'trace_an': -4}
-
id: 25725947
{'hecke_orbit_code': 4507722812754707, 'n': 17, 'trace_an': 0}
-
id: 25725948
{'hecke_orbit_code': 4507722812754707, 'n': 18, 'trace_an': 0}
-
id: 25725949
{'hecke_orbit_code': 4507722812754707, 'n': 19, 'trace_an': 8}
-
id: 25725950
{'hecke_orbit_code': 4507722812754707, 'n': 20, 'trace_an': 0}
-
id: 25725951
{'hecke_orbit_code': 4507722812754707, 'n': 21, 'trace_an': 0}
-
id: 25725952
{'hecke_orbit_code': 4507722812754707, 'n': 22, 'trace_an': -4}
-
id: 25725953
{'hecke_orbit_code': 4507722812754707, 'n': 23, 'trace_an': 0}
-
id: 25725954
{'hecke_orbit_code': 4507722812754707, 'n': 24, 'trace_an': 0}
-
id: 25725955
{'hecke_orbit_code': 4507722812754707, 'n': 25, 'trace_an': 0}
-
id: 25725956
{'hecke_orbit_code': 4507722812754707, 'n': 26, 'trace_an': 0}
-
id: 25725957
{'hecke_orbit_code': 4507722812754707, 'n': 27, 'trace_an': 0}
-
id: 25725958
{'hecke_orbit_code': 4507722812754707, 'n': 28, 'trace_an': 0}
-
id: 25725959
{'hecke_orbit_code': 4507722812754707, 'n': 29, 'trace_an': 0}
-
id: 25725960
{'hecke_orbit_code': 4507722812754707, 'n': 30, 'trace_an': 0}
-
id: 25725961
{'hecke_orbit_code': 4507722812754707, 'n': 31, 'trace_an': 0}
-
id: 25725962
{'hecke_orbit_code': 4507722812754707, 'n': 32, 'trace_an': 0}
-
id: 25725963
{'hecke_orbit_code': 4507722812754707, 'n': 33, 'trace_an': 0}
-
id: 25725964
{'hecke_orbit_code': 4507722812754707, 'n': 34, 'trace_an': 4}
-
id: 25725965
{'hecke_orbit_code': 4507722812754707, 'n': 35, 'trace_an': 0}
-
id: 25725966
{'hecke_orbit_code': 4507722812754707, 'n': 36, 'trace_an': 0}
-
id: 25725967
{'hecke_orbit_code': 4507722812754707, 'n': 37, 'trace_an': 0}
-
id: 25725968
{'hecke_orbit_code': 4507722812754707, 'n': 38, 'trace_an': 0}
-
id: 25725969
{'hecke_orbit_code': 4507722812754707, 'n': 39, 'trace_an': 0}
-
id: 25725970
{'hecke_orbit_code': 4507722812754707, 'n': 40, 'trace_an': 4}
-
id: 25725971
{'hecke_orbit_code': 4507722812754707, 'n': 41, 'trace_an': 0}
-
id: 25725972
{'hecke_orbit_code': 4507722812754707, 'n': 42, 'trace_an': 0}
-
id: 25725973
{'hecke_orbit_code': 4507722812754707, 'n': 43, 'trace_an': 0}
-
id: 25725974
{'hecke_orbit_code': 4507722812754707, 'n': 44, 'trace_an': 0}
-
id: 25725975
{'hecke_orbit_code': 4507722812754707, 'n': 45, 'trace_an': 0}
-
id: 25725976
{'hecke_orbit_code': 4507722812754707, 'n': 46, 'trace_an': -8}
-
id: 25725977
{'hecke_orbit_code': 4507722812754707, 'n': 47, 'trace_an': 0}
-
id: 25725978
{'hecke_orbit_code': 4507722812754707, 'n': 48, 'trace_an': 0}
-
id: 25725979
{'hecke_orbit_code': 4507722812754707, 'n': 49, 'trace_an': -4}
-
id: 25725980
{'hecke_orbit_code': 4507722812754707, 'n': 50, 'trace_an': 0}
-
id: 25725981
{'hecke_orbit_code': 4507722812754707, 'n': 51, 'trace_an': 0}
-
id: 25725982
{'hecke_orbit_code': 4507722812754707, 'n': 52, 'trace_an': 0}
-
id: 25725983
{'hecke_orbit_code': 4507722812754707, 'n': 53, 'trace_an': 0}
-
id: 25725984
{'hecke_orbit_code': 4507722812754707, 'n': 54, 'trace_an': 0}
-
id: 25725985
{'hecke_orbit_code': 4507722812754707, 'n': 55, 'trace_an': -8}
-
id: 25725986
{'hecke_orbit_code': 4507722812754707, 'n': 56, 'trace_an': 0}
-
id: 25725987
{'hecke_orbit_code': 4507722812754707, 'n': 57, 'trace_an': 0}
-
id: 25725988
{'hecke_orbit_code': 4507722812754707, 'n': 58, 'trace_an': 0}
-
id: 25725989
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