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mf_newforms • Show schema
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{'Nk2': 5400, 'analytic_conductor': 10.779804272872852, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [1350, 6, [1001, 1027], [2, 3]], 'cm_discs': [], 'conrey_index': 199, 'dim': 8, 'field_disc': 303595776, 'field_disc_factorization': [[2, 8], [3, 4], [11, 4]], 'field_poly': [81, 0, 45, 0, 16, 0, 5, 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': [[7, [4096, 0, -1088, 0, 225, 0, -17, 0, 1]], [11, [36, -18, 15, 3, 1]], [19, [-8, 1, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518616645698886, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 9, 'hecke_ring_index_factorization': [[3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 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mf_hecke_nf • Show schema
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0, 0, -11, 44, 0, 0], [0, 23, 0, 0, 23, 16, 0, 23], [5, 0, -5, -20, 0, 0, 5, 0], [0, -14, 0, 0, 0, 0, 0, 18], [-5, 0, 5, 41, 0, 0, -5, 0], [42, 0, -16, 42, 0, 0, 0, 0], [0, -54, 0, 0, 0, 0, 0, 6], [12, 0, 0, 0, 0, 0, -18, 0], [0, -76, 0, 0, 0, 0, 0, 0], [0, 15, 0, 0, 15, -8, 0, 15], [0, 16, 0, 0, 14, 16, 0, 0], [-24, 0, 0, 0, 0, 0, -20, 0]], 'char_orbit_index': 10, 'field_poly': [81, 0, 45, 0, 16, 0, 5, 0, 1], 'hecke_orbit_code': 22518616645698886, 'hecke_ring_character_values': [[1001, [0, 0, 0, 1, 0, 0, 0, 0]], [1027, [-1, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 432, 48, 144, 72, 48, 9, 18], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 2, 0, -1], [-6, 0, -1, -7, 0, 0, 2, 0], [0, -9, 0, 0, 2, -11, 0, 4], [0, 0, -5, 13, 0, 0, -5, 0], [0, 45, 0, 0, -2, -1, 0, -1], [-39, 0, 32, -16, 0, 0, -16, 0], [0, 0, 0, 0, -13, 118, 0, 13]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 45, 0, 16, 0, 32, 0, 1], [-51, 0, -32, 0, -16, 0, 1, 0], [-225, 0, -80, 0, -16, 0, -5, 0], [0, 165, 0, 40, 0, 8, 0, 1], [0, 13, 0, 0, 0, 0, 0, 1], [-27, 0, -7, 0, -5, 0, -1, 0], [0, -3, 0, 10, 0, 2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1350.2.j.f', 'level': 1350, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5400, 'analytic_conductor': 10.779804272872852, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 6, 'char_parity': 1, 'char_values': [1350, 6, [1001, 1027], [2, 3]], 'conrey_index': 199, 'cusp_dim': 468, 'dim': 36, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 19], 'hecke_orbit_code': 618508846406, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 8, 8], 'label': '1350.2.j', 'level': 1350, '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': [2, 3, 5], 'level_radical': 30, 'mf_dim': 612, 'mf_new_dim': 36, 'num_forms': 7, 'prim_orbit_index': 10, 'relative_dim': 18, 'sturm_bound': 540, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [36, 0, 0, 18, 0, 0, 0, 0, 0, 0, 12, 0, 0, -12, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 24, 0, 24, 0, 0, 30, 0, 0, 0, 0, 0, 0, 12, 0, 0, 30, 0, -12, 0, 0, -36, 0, 0, 0, 0, 0, 0, 48, 0, 0, -36, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 6, 0, 0, 96, 0, 48, 0, 0, 12, 0, 0, 0, 0, 0, 0, 48, 0, 0, -12, 0, -24, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, -66, 0, 0, -12, 0, 0, 0, 0, 0, 0, 24, 0, 0, 24, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 24, 0, 0, 24, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, -24, 0, 0, -36, 0, -12, 0, 0, 54, 0, 0, 0, 0, 0, 0, 12, 0, 0, -168, 0, 72, 0, 0, 12, 0, 0, 0, 0, 0, 0, -36, 0, 0, -66, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 54, 0, -36, 0, 0, 36, 0, 0, 0, 0, 0, 0, -60, 0, 0, 24, 0, -48, 0, 0, 84, 0, 0, 0, 0, 0, 0, -30, 0, 0, -72, 0, -36, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, -18, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 60, 0, 0, -60, 0, 0, 0, 0, 0, 0, -72, 0, 0, 24, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 168, 0, 72, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132, 0, -12, 0, 0, 96, 0, 0, 0, 0, 0, 0, 144, 0, 0, -6, 0, 0, 0, 0, 84, 0, 0, 0, 0, 0, 0, 48, 0, 0, -408, 0, 60, 0, 0, 24, 0, 0, 0, 0, 0, 0, -264, 0, 0, -120, 0, -12, 0, 0, -312, 0, 0, 0, 0, 0, 0, 192, 0, 0, -144, 0, -120, 0, 0, -48, 0, 0, 0, 0, 0, 0, 156, 0, 0, 96, 0, -120, 0, 0, -120, 0, 0, 0, 0, 0, 0, 12, 0, 0, 108, 0, -12, 0, 0, -48, 0, 0, 0, 0, 0, 0, -120, 0, 0, 24, 0, -36, 0, 0, -60, 0, 0, 0, 0, 0, 0, -12, 0, 0, -96, 0, -252, 0, 0, -78, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 42, 0, 0, 312, 0, 0, 0, 0, 0, 0, 120, 0, 0, 204, 0, -24, 0, 0, 66, 0, 0, 0, 0, 0, 0, -234, 0, 0, -72, 0, -24, 0, 0, 42, 0, 0, 0, 0, 0, 0, 120, 0, 0, 72, 0, -72, 0, 0, 36, 0, 0, 0, 0, 0, 0, 192, 0, 0, -24, 0, 120, 0, 0, 30, 0, 0, 0, 0, 0, 0, 12, 0, 0, 408, 0, 264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, -12, 0, 36, 0, 0, 24, 0, 0, 0, 0, 0, 0, 72, 0, 0, 84, 0, 126, 0, 0, -60, 0, 0, 0, 0, 0, 0, 120, 0, 0, 48, 0, 264, 0, 0, 132, 0, 0, 0, 0, 0, 0, -24, 0, 0, 96, 0, 84, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, -36, 0, -12, 0, 0, -30, 0, 0, 0, 0, 0, 0, -30, 0, 0, -288, 0, -168, 0, 0, 12, 0, 0, 0, 0, 0, 0, -6, 0, 0, -12, 0, -30, 0, 0, 24, 0, 0, 0, 0, 0, 0, -72, 0, 0, 36, 0, 120, 0, 0, 12, 0, 0, 0, 0, 0, 0, -120, 0, 0, 384, 0, 108, 0, 0, -96, 0, 0, 0, 0, 0, 0, -108, 0, 0, -312, 0, -36, 0, 0, 48, 0, 0, 0, 0, 0, 0, -528, 0, 0, -12, 0, -54, 0, 0, -252, 0, 0, 0, 0, 0, 0, -84, 0, 0, -120, 0, -288, 0, 0, 36, 0, 0, 0, 0, 0, 0, 228, 0, 0, 72, 0, -12, 0, 0, 300, 0, 0, 0, 0, 0, 0, -24, 0, 0, -12, 0, 228, 0, 0, 120, 0, 0, 0, 0, 0, 0, -24, 0, 0, -72, 0, -264, 0, 0, 96, 0, 0, 0, 0, 0, 0, 66, 0, 0, -72, 0, 108, 0, 0, -60, 0, 0, 0, 0, 0, 0, 600, 0, 0, 120, 0, 0, 0, 0, -156, 0, 0, 0, 0, 0, 0, 264, 0, 0, 12, 0, -36, 0, 0, -72, 0, 0, 0, 0, 0, 0, -72, 0, 0, -96, 0, 168, 0, 0, 96, 0, 0, 0, 0, 0, 0, 108, 0, 0, -276, 0, 150, 0, 0, 36, 0, 0, 0, 0, 0, 0, 144, 0, 0, 120, 0, 72, 0, 0, -216, 0, 0, 0, 0, 0, 0, 24, 0, 0, 264, 0, 36, 0, 0, 216, 0, 0, 0, 0, 0, 0, -480, 0, 0, 60, 0, -60, 0, 0, 12, 0, 0, 0, 0, 0, 0, 12, 0, 0, 48, 0, 48, 0, 0, -24, 0, 0, 0, 0, 0, 0, -204, 0, 0, 48, 0, -84, 0, 0, -48, 0, 0, 0, 0, 0, 0, 144, 0, 0, -12, 0, -48, 0, 0, -174, 0, 0, 0, 0, 0, 0, 120, 0, 0, -60, 0, -48, 0, 0, -204, 0, 0, 0, 0, 0, 0, 72, 0, 0, 168, 0, -18, 0, 0, -72, 0, 0, 0, 0, 0, 0, 264, 0, 0, -180, 0, -12, 0, 0, -90, 0, 0, 0, 0, 0, 0, -48, 0, 0, 816, 0, -48, 0, 0, 24, 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: 716126
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '90.2.e.c', 'target_level': 90, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 716127
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '90.2.e.c', 'target_level': 90, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 716128
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '270.2.e.c', 'target_level': 270, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 716129
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '270.2.e.c', 'target_level': 270, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 716130
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '450.2.e.j', 'target_level': 450, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 716131
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '450.2.e.j', 'target_level': 450, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 716132
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '450.2.j.g', 'target_level': 450, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 716133
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '450.2.j.g', 'target_level': 450, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 716134
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '450.2.j.g', 'target_level': 450, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 716135
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '450.2.j.g', 'target_level': 450, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 716136
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '720.2.q.f', 'target_level': 720, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 716137
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '720.2.q.f', 'target_level': 720, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 716138
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '810.2.a.i', 'target_level': 810, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 716139
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '810.2.a.k', 'target_level': 810, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 716140
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1350.2.e.l', 'target_level': 1350, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 716141
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1350.2.e.l', 'target_level': 1350, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 716142
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1350.2.j.f', 'target_level': 1350, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 716143
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1350.2.j.f', 'target_level': 1350, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 716144
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1350.2.j.f', 'target_level': 1350, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 716145
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1350.2.j.f', 'target_level': 1350, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 716146
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2160.2.q.f', 'target_level': 2160, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 716147
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2160.2.q.f', 'target_level': 2160, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 716148
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '4050.2.a.bo', 'target_level': 4050, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 716149
{'conductor': 45, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '4050.2.a.bw', 'target_level': 4050, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 716150
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '4050.2.c.v', 'target_level': 4050, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 716151
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '4050.2.c.v', 'target_level': 4050, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 716152
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '4050.2.c.ba', 'target_level': 4050, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 716153
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '4050.2.c.ba', 'target_level': 4050, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 716154
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '6480.2.a.be', 'target_level': 6480, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 716155
{'conductor': 180, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '1350.2.j.f', 'source_level': 1350, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '6480.2.a.bn', 'target_level': 6480, 'twist_class_label': '90.2.e.c', 'twist_class_level': 90, 'twisting_char_label': '180.x', 'twisting_char_orbit': 24, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1886375
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 2]], 'hecke_orbit_code': 22518616645698886, 'p': 2}
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id: 1886376
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22518616645698886, 'p': 3}
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id: 1886377
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22518616645698886, 'p': 5}
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id: 1886378
{'charpoly_factorization': [[[4096, 0, -1088, 0, 225, 0, -17, 0, 1], 1]], 'hecke_orbit_code': 22518616645698886, 'p': 7}
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id: 1886379
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 2]], 'hecke_orbit_code': 22518616645698886, 'p': 11}
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id: 1886380
{'charpoly_factorization': [[[1048576, 0, -69632, 0, 3600, 0, -68, 0, 1], 1]], 'hecke_orbit_code': 22518616645698886, 'p': 13}
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id: 1886381
{'charpoly_factorization': [[[144, 0, 57, 0, 1], 2]], 'hecke_orbit_code': 22518616645698886, 'p': 17}
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id: 1886382
{'charpoly_factorization': [[[-8, 1, 1], 4]], 'hecke_orbit_code': 22518616645698886, 'p': 19}
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id: 1886383
{'charpoly_factorization': [[[1296, 0, -756, 0, 405, 0, -21, 0, 1], 1]], 'hecke_orbit_code': 22518616645698886, 'p': 23}
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id: 1886384
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 2]], 'hecke_orbit_code': 22518616645698886, 'p': 29}
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id: 1886385
{'charpoly_factorization': [[[1024, 64, 36, -2, 1], 2]], 'hecke_orbit_code': 22518616645698886, 'p': 31}
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id: 1886386
{'charpoly_factorization': [[[16, 0, 1], 4]], 'hecke_orbit_code': 22518616645698886, 'p': 37}
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id: 1886387
{'charpoly_factorization': [[[9, 3, 1], 4]], 'hecke_orbit_code': 22518616645698886, 'p': 41}
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id: 1886388
{'charpoly_factorization': [[[16777216, 0, -659456, 0, 21825, 0, -161, 0, 1], 1]], 'hecke_orbit_code': 22518616645698886, 'p': 43}
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id: 1886389
{'charpoly_factorization': [[[20736, 0, -8208, 0, 3105, 0, -57, 0, 1], 1]], 'hecke_orbit_code': 22518616645698886, 'p': 47}
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id: 1886390
{'charpoly_factorization': [[[132, 0, 1], 4]], 'hecke_orbit_code': 22518616645698886, 'p': 53}
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id: 1886391
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 2]], 'hecke_orbit_code': 22518616645698886, 'p': 59}
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id: 1886392
{'charpoly_factorization': [[[5476, -74, 75, 1, 1], 2]], 'hecke_orbit_code': 22518616645698886, 'p': 61}
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id: 1886393
{'charpoly_factorization': [[[2401, 0, -49, 0, 1], 2]], 'hecke_orbit_code': 22518616645698886, 'p': 67}
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id: 1886394
{'charpoly_factorization': [[[-6, 1], 8]], 'hecke_orbit_code': 22518616645698886, 'p': 71}
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id: 1886395
{'charpoly_factorization': [[[1936, 0, 209, 0, 1], 2]], 'hecke_orbit_code': 22518616645698886, 'p': 73}
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id: 1886396
{'charpoly_factorization': [[[4, -2, 1], 4]], 'hecke_orbit_code': 22518616645698886, 'p': 79}
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id: 1886397
{'charpoly_factorization': [[[20736, 0, -8208, 0, 3105, 0, -57, 0, 1], 1]], 'hecke_orbit_code': 22518616645698886, 'p': 83}
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id: 1886398
{'charpoly_factorization': [[[-18, -15, 1], 4]], 'hecke_orbit_code': 22518616645698886, 'p': 89}
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id: 1886399
{'charpoly_factorization': [[[234256, 0, -37268, 0, 5445, 0, -77, 0, 1], 1]], 'hecke_orbit_code': 22518616645698886, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 6, 'label': '1350.2.j.f', 'level': 1350, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 44657971
{'hecke_orbit_code': 22518616645698886, 'n': 1, 'trace_an': 8}
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id: 44657972
{'hecke_orbit_code': 22518616645698886, 'n': 2, 'trace_an': 0}
-
id: 44657973
{'hecke_orbit_code': 22518616645698886, 'n': 3, 'trace_an': 0}
-
id: 44657974
{'hecke_orbit_code': 22518616645698886, 'n': 4, 'trace_an': 4}
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id: 44657975
{'hecke_orbit_code': 22518616645698886, 'n': 5, 'trace_an': 0}
-
id: 44657976
{'hecke_orbit_code': 22518616645698886, 'n': 6, 'trace_an': 0}
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id: 44657977
{'hecke_orbit_code': 22518616645698886, 'n': 7, 'trace_an': 0}
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id: 44657978
{'hecke_orbit_code': 22518616645698886, 'n': 8, 'trace_an': 0}
-
id: 44657979
{'hecke_orbit_code': 22518616645698886, 'n': 9, 'trace_an': 0}
-
id: 44657980
{'hecke_orbit_code': 22518616645698886, 'n': 10, 'trace_an': 0}
-
id: 44657981
{'hecke_orbit_code': 22518616645698886, 'n': 11, 'trace_an': -6}
-
id: 44657982
{'hecke_orbit_code': 22518616645698886, 'n': 12, 'trace_an': 0}
-
id: 44657983
{'hecke_orbit_code': 22518616645698886, 'n': 13, 'trace_an': 0}
-
id: 44657984
{'hecke_orbit_code': 22518616645698886, 'n': 14, 'trace_an': 2}
-
id: 44657985
{'hecke_orbit_code': 22518616645698886, 'n': 15, 'trace_an': 0}
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id: 44657986
{'hecke_orbit_code': 22518616645698886, 'n': 16, 'trace_an': -4}
-
id: 44657987
{'hecke_orbit_code': 22518616645698886, 'n': 17, 'trace_an': 0}
-
id: 44657988
{'hecke_orbit_code': 22518616645698886, 'n': 18, 'trace_an': 0}
-
id: 44657989
{'hecke_orbit_code': 22518616645698886, 'n': 19, 'trace_an': -4}
-
id: 44657990
{'hecke_orbit_code': 22518616645698886, 'n': 20, 'trace_an': 0}
-
id: 44657991
{'hecke_orbit_code': 22518616645698886, 'n': 21, 'trace_an': 0}
-
id: 44657992
{'hecke_orbit_code': 22518616645698886, 'n': 22, 'trace_an': 0}
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id: 44657993
{'hecke_orbit_code': 22518616645698886, 'n': 23, 'trace_an': 0}
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id: 44657994
{'hecke_orbit_code': 22518616645698886, 'n': 24, 'trace_an': 0}
-
id: 44657995
{'hecke_orbit_code': 22518616645698886, 'n': 25, 'trace_an': 0}
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id: 44657996
{'hecke_orbit_code': 22518616645698886, 'n': 26, 'trace_an': -8}
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id: 44657997
{'hecke_orbit_code': 22518616645698886, 'n': 27, 'trace_an': 0}
-
id: 44657998
{'hecke_orbit_code': 22518616645698886, 'n': 28, 'trace_an': 0}
-
id: 44657999
{'hecke_orbit_code': 22518616645698886, 'n': 29, 'trace_an': 6}
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id: 44658000
{'hecke_orbit_code': 22518616645698886, 'n': 30, 'trace_an': 0}
-
id: 44658001
{'hecke_orbit_code': 22518616645698886, 'n': 31, 'trace_an': 4}
-
id: 44658002
{'hecke_orbit_code': 22518616645698886, 'n': 32, 'trace_an': 0}
-
id: 44658003
{'hecke_orbit_code': 22518616645698886, 'n': 33, 'trace_an': 0}
-
id: 44658004
{'hecke_orbit_code': 22518616645698886, 'n': 34, 'trace_an': 18}
-
id: 44658005
{'hecke_orbit_code': 22518616645698886, 'n': 35, 'trace_an': 0}
-
id: 44658006
{'hecke_orbit_code': 22518616645698886, 'n': 36, 'trace_an': 0}
-
id: 44658007
{'hecke_orbit_code': 22518616645698886, 'n': 37, 'trace_an': 0}
-
id: 44658008
{'hecke_orbit_code': 22518616645698886, 'n': 38, 'trace_an': 0}
-
id: 44658009
{'hecke_orbit_code': 22518616645698886, 'n': 39, 'trace_an': 0}
-
id: 44658010
{'hecke_orbit_code': 22518616645698886, 'n': 40, 'trace_an': 0}
-
id: 44658011
{'hecke_orbit_code': 22518616645698886, 'n': 41, 'trace_an': -12}
-
id: 44658012
{'hecke_orbit_code': 22518616645698886, 'n': 42, 'trace_an': 0}
-
id: 44658013
{'hecke_orbit_code': 22518616645698886, 'n': 43, 'trace_an': 0}
-
id: 44658014
{'hecke_orbit_code': 22518616645698886, 'n': 44, 'trace_an': -12}
-
id: 44658015
{'hecke_orbit_code': 22518616645698886, 'n': 45, 'trace_an': 0}
-
id: 44658016
{'hecke_orbit_code': 22518616645698886, 'n': 46, 'trace_an': 12}
-
id: 44658017
{'hecke_orbit_code': 22518616645698886, 'n': 47, 'trace_an': 0}
-
id: 44658018
{'hecke_orbit_code': 22518616645698886, 'n': 48, 'trace_an': 0}
-
id: 44658019
{'hecke_orbit_code': 22518616645698886, 'n': 49, 'trace_an': 6}
-
id: 44658020
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