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{'Nk2': 33300, 'analytic_conductor': 66.47545968271592, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [37, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8325, 1, [3701, 7327, 5626], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 6224, 'field_disc_factorization': [[2, 4], [389, 1]], 'field_poly': [5, -2, -6, 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': [[2, [5, 2, -6, 0, 1]], [7, [-16, -64, -16, 4, 1]], [11, [64, 32, -32, 0, 1]], [13, [-80, -144, -32, 4, 1]]], 'hecke_orbit': 48, 'hecke_orbit_code': 211669182519976069, 'hecke_ring_generator_nbound': 2, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8325.2.a.bv', 'level': 8325, '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, 37], 'level_radical': 555, 'minimal_twist': '111.2.a.b', 'nf_label': '4.4.6224.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{1}+\\beta _{2})q^{4}+(-2+2\\beta _{3})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8325.2.a', 'trace_display': [0, 0, 0, -4], 'trace_hash': 59853414103243070, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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-2, 0], [0, -32, -4, -8], [-1, 14, -25, 5]], 'char_orbit_index': 1, 'field_poly': [5, -2, -6, 0, 1], 'hecke_orbit_code': 211669182519976069, '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], [3, 1, 1, 0], [1, 5, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, -1, 1, 0], [2, -4, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '8325.2.a.bv', 'level': 8325, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [24, 30, 32, 28, 42, 39, 44, 46], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [112, 111, 111, 109, 102, 99, 92, 96], 'Nk2': 33300, 'analytic_conductor': 66.47545968271592, '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': [8325, 1, [3701, 7327, 5626], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1117, 'dim': 285, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11, 13], 'hecke_orbit_code': 33562757, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 10, 10, 13, 13, 16, 16], 'label': '8325.2.a', 'level': 8325, '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, 37], 'level_radical': 555, 'mf_dim': 1164, 'mf_new_dim': 285, 'num_forms': 76, 'plus_dim': 135, 'prim_orbit_index': 1, 'relative_dim': 285, 'sturm_bound': 2280, 'trace_bound': 13, 'trace_display': [-1, 0, 0, 2], 'traces': [285, -1, 0, 289, 0, 0, 2, -15, 0, 0, 2, 0, 8, -2, 0, 297, 0, 0, 14, 0, 0, 2, -4, 0, 0, -18, 0, 4, 22, 0, 12, -11, 0, -10, 0, 0, 1, 4, 0, 0, -4, 0, 18, -20, 0, -28, 14, 0, 291, 0, 0, 10, 12, 0, 0, -28, 0, -10, -44, 0, -2, -32, 0, 301, 0, 0, 16, 46, 0, 0, 2, 0, 48, 5, 0, 4, -46, 0, -18, 0, 0, 4, 6, 0, 0, 8, 0, -36, 32, 0, -34, -72, 0, -94, 0, 0, 54, -7, 0, 0, -4, 0, -6, -22, 0, -64, -28, 0, -12, 0, 0, -32, -18, 0, 0, 22, 0, -8, 34, 0, 343, -22, 0, -56, 0, 0, -18, 5, 0, 0, -6, 0, 22, -64, 0, -114, 14, 0, 32, 0, 0, 18, -2, 0, 0, -152, 0, 3, 16, 0, -88, -48, 0, -18, 0, 0, 48, -28, 0, 0, 12, 0, -2, -98, 0, -86, 6, 0, 355, 0, 0, 48, 12, 0, 0, -60, 0, 14, -12, 0, 48, -76, 0, -12, 0, 0, -18, 184, 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-184, 0, 0, -84, 76, 0, 0, -142, 0, 24, -128, 0, -112, 182, 0, 22, 0, 0, 344, 184, 0, 0, -424, 0, -252, 304, 0, -7, -38, 0, -274, 0, 0, -116, -83, 0, 0, -36, 0, -184, -432, 0, 134, 38, 0, 10, 0, 0, -108, -222, 0, 0, 328, 0, -200, 88, 0, -190, -56, 0, -278, 0, 0, -142, -360, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1386029
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8325.2.a.bv', 'source_level': 8325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '111.2.a.b', 'target_level': 111, 'twist_class_label': '111.2.a.b', 'twist_class_level': 111, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1386030
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8325.2.a.bv', 'source_level': 8325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '333.2.a.g', 'target_level': 333, 'twist_class_label': '111.2.a.b', 'twist_class_level': 111, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1386031
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8325.2.a.bv', 'source_level': 8325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1776.2.a.u', 'target_level': 1776, 'twist_class_label': '111.2.a.b', 'twist_class_level': 111, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1386032
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8325.2.a.bv', 'source_level': 8325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '2775.2.a.x', 'target_level': 2775, 'twist_class_label': '111.2.a.b', 'twist_class_level': 111, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1386033
{'conductor': 555, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8325.2.a.bv', 'source_level': 8325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '4107.2.a.i', 'target_level': 4107, 'twist_class_label': '111.2.a.b', 'twist_class_level': 111, 'twisting_char_label': '555.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1386034
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8325.2.a.bv', 'source_level': 8325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '5328.2.a.bs', 'target_level': 5328, 'twist_class_label': '111.2.a.b', 'twist_class_level': 111, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1386035
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8325.2.a.bv', 'source_level': 8325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '5439.2.a.u', 'target_level': 5439, 'twist_class_label': '111.2.a.b', 'twist_class_level': 111, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1386036
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8325.2.a.bv', 'source_level': 8325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '7104.2.a.cc', 'target_level': 7104, 'twist_class_label': '111.2.a.b', 'twist_class_level': 111, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1386037
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8325.2.a.bv', 'source_level': 8325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '7104.2.a.cf', 'target_level': 7104, 'twist_class_label': '111.2.a.b', 'twist_class_level': 111, 'twisting_char_label': '120.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 1386038
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 48, 'source_is_minimal': False, 'source_label': '8325.2.a.bv', 'source_level': 8325, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '8325.2.a.bv', 'target_level': 8325, 'twist_class_label': '111.2.a.b', 'twist_class_level': 111, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4722525
{'charpoly_factorization': [[[5, 2, -6, 0, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 2}
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id: 4722526
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 211669182519976069, 'p': 3}
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id: 4722527
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 211669182519976069, 'p': 5}
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id: 4722528
{'charpoly_factorization': [[[-16, -64, -16, 4, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 7}
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id: 4722529
{'charpoly_factorization': [[[64, 32, -32, 0, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 11}
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id: 4722530
{'charpoly_factorization': [[[-80, -144, -32, 4, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 13}
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id: 4722531
{'charpoly_factorization': [[[-28, -72, -24, 2, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 17}
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id: 4722532
{'charpoly_factorization': [[[-224, 144, -8, -8, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 19}
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id: 4722533
{'charpoly_factorization': [[[652, -296, -32, 10, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 23}
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id: 4722534
{'charpoly_factorization': [[[724, 40, -56, -2, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 29}
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id: 4722535
{'charpoly_factorization': [[[32, 16, -16, -4, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 31}
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id: 4722536
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 211669182519976069, 'p': 37}
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id: 4722537
{'charpoly_factorization': [[[-400, -304, 0, 12, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 41}
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id: 4722538
{'charpoly_factorization': [[[3424, -176, -128, 4, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 43}
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id: 4722539
{'charpoly_factorization': [[[-128, -128, 16, 12, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 47}
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id: 4722540
{'charpoly_factorization': [[[464, 320, -56, -8, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 53}
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id: 4722541
{'charpoly_factorization': [[[-7156, 2416, -176, -10, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 59}
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id: 4722542
{'charpoly_factorization': [[[656, -480, -72, 8, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 61}
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id: 4722543
{'charpoly_factorization': [[[-16, 64, -16, -4, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 67}
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id: 4722544
{'charpoly_factorization': [[[1664, 512, -48, -12, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 71}
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id: 4722545
{'charpoly_factorization': [[[-32, -176, -8, 12, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 73}
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id: 4722546
{'charpoly_factorization': [[[-1504, -656, -56, 8, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 79}
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id: 4722547
{'charpoly_factorization': [[[64, 192, 112, 20, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 83}
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id: 4722548
{'charpoly_factorization': [[[-5452, -944, 128, 26, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 89}
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id: 4722549
{'charpoly_factorization': [[[17008, 464, -272, -4, 1], 1]], 'hecke_orbit_code': 211669182519976069, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 48, 'label': '8325.2.a.bv', 'level': 8325, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71387029
{'hecke_orbit_code': 211669182519976069, 'n': 1, 'trace_an': 4}
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id: 71387030
{'hecke_orbit_code': 211669182519976069, 'n': 2, 'trace_an': 0}
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id: 71387031
{'hecke_orbit_code': 211669182519976069, 'n': 3, 'trace_an': 0}
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id: 71387032
{'hecke_orbit_code': 211669182519976069, 'n': 4, 'trace_an': 4}
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id: 71387033
{'hecke_orbit_code': 211669182519976069, 'n': 5, 'trace_an': 0}
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id: 71387034
{'hecke_orbit_code': 211669182519976069, 'n': 6, 'trace_an': 0}
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id: 71387035
{'hecke_orbit_code': 211669182519976069, 'n': 7, 'trace_an': -4}
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id: 71387036
{'hecke_orbit_code': 211669182519976069, 'n': 8, 'trace_an': -6}
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id: 71387037
{'hecke_orbit_code': 211669182519976069, 'n': 9, 'trace_an': 0}
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id: 71387038
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id: 71387253
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id: 71387254
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id: 71387260
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id: 71387286
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