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mf_newforms • Show schema
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{'Nk2': 8000, 'analytic_conductor': 15.970080404256077, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2000, 1, [751, 501, 1377], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 4400, 'field_disc_factorization': [[2, 4], [5, 2], [11, 1]], 'field_poly': [11, 0, -7, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [5, 10, -1, -4, 1]], [7, [-31, 28, 3, -6, 1]]], 'hecke_orbit': 18, 'hecke_orbit_code': 76561193698854864, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2000.2.a.r', 'level': 2000, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '1000.2.a.e', 'nf_label': '4.4.4400.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta _{1})q^{3}+(2+\\beta _{2}-\\beta _{3})q^{7}+(2+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2000.2.a', 'trace_display': [0, 4, 0, 6], 'trace_hash': 2300843165531725555, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.891', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '39.702', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '596.886', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, 'traces': [4, 0, 4, 0, 0, 0, 6, 0, 6, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 8, 0, 14, 0, 0, 0, 22, 0, 10, 0, 16, 0, -4, 0, 0, 0, 0, 0, 24, 0, 2, 0, 12, 0, 0, 0, 16, 0, 2, 0, 0, 0, -24, 0, 0, 0, -24, 0, -8, 0, 6, 0, 18, 0, 0, 0, -16, 0, 12, 0, 24, 0, -4, 0, 0, 0, -32, 0, 48, 0, 16, 0, 2, 0, 0, 0, -22, 0, 10, 0, 8, 0, 20, 0, 0, 0, -4, 0, -8, 0, 14, 0, -24, 0, 0, 0, 20, 0, 6, 0, 24, 0, -28, 0, 0, 0, 60, 0, 16, 0, 20, 0, -22, 0, 0, 0, 24, 0, 26, 0, 0, 0, 28, 0, 0, 0, 4, 0, 8, 0, 6, 0, -8, 0, 0, 0, -22, 0, -14, 0, 48, 0, -8, 0, 0, 0, 12, 0, -24, 0, -10, 0, 6, 0, 0, 0, -40, 0, 28, 0, -48, 0, -4, 0, 0, 0, -12, 0, 8, 0, 14, 0, -50, 0, 0, 0, -64, 0, 34, 0, -16, 0, 40, 0, 0, 0, -20, 0, 0, 0, 16, 0, -6, 0, 0, 0, 2, 0, -56, 0, -40, 0, 48, 0, 0, 0, 56, 0, -32, 0, -8, 0, -16, 0, 0, 0, 38, 0, 26, 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mf_hecke_nf • Show schema
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'field_poly': [11, 0, -7, 0, 1], 'hecke_orbit_code': 76561193698854864, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [4, 0, 1, 0], [0, 4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-4, 0, 1, 0], [0, -4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '2000.2.a.r', 'level': 2000, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1]], 10, 4], [[[2, -1], [5, -1]], 10, 4], [[[2, 1], [5, -1]], 14, 4], [[[2, -1], [5, 1]], 14, 6]], 'ALdims': [10, 14, 14, 10], 'Nk2': 8000, 'analytic_conductor': 15.970080404256077, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2000, 1, [751, 501, 1377], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 271, 'dim': 48, 'eis_dim': 59, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33556432, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4], 'label': '2000.2.a', 'level': 2000, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 330, 'mf_new_dim': 48, 'num_forms': 18, 'plus_dim': 20, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 600, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 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mf_twists_nf • Show schema
Hide schema
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id: 856132
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1000.2.a.e', 'target_level': 1000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 856133
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1000.2.a.h', 'target_level': 1000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 856134
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1000.2.c.d', 'target_level': 1000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 856135
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2000.2.a.m', 'target_level': 2000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 856136
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2000.2.a.r', 'target_level': 2000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 856137
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 3, 'target_dim': 8, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2000.2.c.j', 'target_level': 2000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 856138
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '8000.2.a.ba', 'target_level': 8000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 856139
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '8000.2.a.bb', 'target_level': 8000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 856140
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '8000.2.a.bq', 'target_level': 8000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 856141
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '8000.2.a.br', 'target_level': 8000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 856142
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '9000.2.a.r', 'target_level': 9000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 856143
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 18, 'source_is_minimal': False, 'source_label': '2000.2.a.r', 'source_level': 2000, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '9000.2.a.ba', 'target_level': 9000, 'twist_class_label': '1000.2.a.e', 'twist_class_level': 1000, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2356625
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 76561193698854864, 'p': 2}
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id: 2356626
{'charpoly_factorization': [[[5, 10, -1, -4, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 3}
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id: 2356627
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 76561193698854864, 'p': 5}
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id: 2356628
{'charpoly_factorization': [[[-31, 28, 3, -6, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 7}
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id: 2356629
{'charpoly_factorization': [[[176, 0, -32, 0, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 11}
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id: 2356630
{'charpoly_factorization': [[[-16, -112, -32, 4, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 13}
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id: 2356631
{'charpoly_factorization': [[[-80, -160, -36, 4, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 17}
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id: 2356632
{'charpoly_factorization': [[[176, 0, -52, 0, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 19}
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id: 2356633
{'charpoly_factorization': [[[-71, 12, 43, -14, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 23}
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id: 2356634
{'charpoly_factorization': [[[-2039, 810, -53, -10, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 29}
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id: 2356635
{'charpoly_factorization': [[[-80, 0, 64, -16, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 31}
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id: 2356636
{'charpoly_factorization': [[[-464, 400, -92, 0, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 37}
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id: 2356637
{'charpoly_factorization': [[[-751, 614, -113, -2, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 41}
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id: 2356638
{'charpoly_factorization': [[[29, -66, 47, -12, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 43}
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id: 2356639
{'charpoly_factorization': [[[-539, 154, 51, -16, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 47}
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id: 2356640
{'charpoly_factorization': [[[16, 12, 1], 2]], 'hecke_orbit_code': 76561193698854864, 'p': 53}
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id: 2356641
{'charpoly_factorization': [[[-16, -96, -48, 8, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 59}
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id: 2356642
{'charpoly_factorization': [[[2305, 410, -101, -6, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 61}
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id: 2356643
{'charpoly_factorization': [[[-656, -288, 28, 16, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 67}
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id: 2356644
{'charpoly_factorization': [[[-4880, 640, 124, -24, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 71}
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id: 2356645
{'charpoly_factorization': [[[11824, -752, -272, 4, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 73}
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id: 2356646
{'charpoly_factorization': [[[16880, -6240, 836, -48, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 79}
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id: 2356647
{'charpoly_factorization': [[[-31, -136, -113, -2, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 83}
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id: 2356648
{'charpoly_factorization': [[[241, 410, -137, -10, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 89}
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id: 2356649
{'charpoly_factorization': [[[3376, -496, -144, 4, 1], 1]], 'hecke_orbit_code': 76561193698854864, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 18, 'label': '2000.2.a.r', 'level': 2000, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 240855000
{'hecke_orbit_code': 76561193698854864, 'n': 1, 'trace_an': 4}
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id: 240855001
{'hecke_orbit_code': 76561193698854864, 'n': 2, 'trace_an': 0}
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id: 240855002
{'hecke_orbit_code': 76561193698854864, 'n': 3, 'trace_an': 4}
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id: 240855003
{'hecke_orbit_code': 76561193698854864, 'n': 4, 'trace_an': 0}
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id: 240855004
{'hecke_orbit_code': 76561193698854864, 'n': 5, 'trace_an': 0}
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id: 240855005
{'hecke_orbit_code': 76561193698854864, 'n': 6, 'trace_an': 0}
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id: 240855006
{'hecke_orbit_code': 76561193698854864, 'n': 7, 'trace_an': 6}
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id: 240855007
{'hecke_orbit_code': 76561193698854864, 'n': 8, 'trace_an': 0}
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id: 240855008
{'hecke_orbit_code': 76561193698854864, 'n': 9, 'trace_an': 6}
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id: 240855009
{'hecke_orbit_code': 76561193698854864, 'n': 10, 'trace_an': 0}
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id: 240855010
{'hecke_orbit_code': 76561193698854864, 'n': 11, 'trace_an': 0}
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id: 240855011
{'hecke_orbit_code': 76561193698854864, 'n': 12, 'trace_an': 0}
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id: 240855012
{'hecke_orbit_code': 76561193698854864, 'n': 13, 'trace_an': -4}
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id: 240855013
{'hecke_orbit_code': 76561193698854864, 'n': 14, 'trace_an': 0}
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id: 240855014
{'hecke_orbit_code': 76561193698854864, 'n': 15, 'trace_an': 0}
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id: 240855015
{'hecke_orbit_code': 76561193698854864, 'n': 16, 'trace_an': 0}
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id: 240855016
{'hecke_orbit_code': 76561193698854864, 'n': 17, 'trace_an': -4}
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id: 240855017
{'hecke_orbit_code': 76561193698854864, 'n': 18, 'trace_an': 0}
-
id: 240855018
{'hecke_orbit_code': 76561193698854864, 'n': 19, 'trace_an': 0}
-
id: 240855019
{'hecke_orbit_code': 76561193698854864, 'n': 20, 'trace_an': 0}
-
id: 240855020
{'hecke_orbit_code': 76561193698854864, 'n': 21, 'trace_an': 8}
-
id: 240855021
{'hecke_orbit_code': 76561193698854864, 'n': 22, 'trace_an': 0}
-
id: 240855022
{'hecke_orbit_code': 76561193698854864, 'n': 23, 'trace_an': 14}
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id: 240855023
{'hecke_orbit_code': 76561193698854864, 'n': 24, 'trace_an': 0}
-
id: 240855024
{'hecke_orbit_code': 76561193698854864, 'n': 25, 'trace_an': 0}
-
id: 240855025
{'hecke_orbit_code': 76561193698854864, 'n': 26, 'trace_an': 0}
-
id: 240855026
{'hecke_orbit_code': 76561193698854864, 'n': 27, 'trace_an': 22}
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{'hecke_orbit_code': 76561193698854864, 'n': 998, 'trace_an': 0}
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id: 240855998
{'hecke_orbit_code': 76561193698854864, 'n': 999, 'trace_an': -8}
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id: 240855999
{'hecke_orbit_code': 76561193698854864, 'n': 1000, 'trace_an': 0}