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{'Nk2': 31200, 'analytic_conductor': 62.2833135765987, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [13, 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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 30056, 'field_disc_factorization': [[2, 3], [13, 1], [17, 2]], 'field_poly': [26, 0, -11, 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': [[7, [-16, 24, 6, -7, 1]], [11, [-4, -26, -20, -1, 1]], [17, [8, 36, -26, -3, 1]], [19, [0, 1]]], 'hecke_orbit': 51, 'hecke_orbit_code': 225179981402087032, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7800.2.a.by', 'level': 7800, '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, 13], 'level_radical': 390, 'minimal_twist': '1560.2.l.d', 'nf_label': '4.4.30056.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(2+\\beta _{1})q^{7}+q^{9}+(\\beta _{1}-\\beta _{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7800.2.a', 'trace_display': [0, 4, 0, 7], 'trace_hash': 814835612987065294, 'trace_moments': 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'ALdims': [7, 7, 7, 7, 8, 5, 7, 9, 8, 5, 7, 9, 7, 7, 7, 7], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [84, 107, 100, 90, 97, 94, 93, 95, 94, 97, 94, 94, 104, 86, 93, 97], 'Nk2': 31200, 'analytic_conductor': 62.2833135765987, '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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 114, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33562232, '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, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5], 'label': '7800.2.a', 'level': 7800, '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, 13], 'level_radical': 390, 'mf_dim': 1728, 'mf_new_dim': 114, 'num_forms': 53, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 114, 'sturm_bound': 3360, 'trace_bound': 17, 'trace_display': [0, 0, 0, 4], 'traces': [114, 0, 0, 0, 0, 0, 4, 0, 114, 0, 0, 0, -2, 0, 0, 0, -4, 0, -12, 0, 4, 0, -24, 0, 0, 0, 0, 0, -4, 0, 4, 0, -16, 0, 0, 0, -4, 0, 0, 0, -8, 0, 16, 0, 0, 0, 16, 0, 90, 0, 0, 0, 4, 0, 0, 0, 4, 0, 8, 0, 4, 0, 4, 0, 0, 0, 4, 0, -8, 0, 56, 0, -36, 0, 0, 0, -32, 0, 16, 0, 114, 0, 8, 0, 0, 0, 0, 0, 0, 0, -12, 0, -36, 0, 0, 0, -36, 0, 0, 0, -20, 0, 16, 0, 0, 0, -8, 0, -36, 0, -8, 0, 4, 0, 0, 0, -2, 0, -56, 0, 114, 0, 12, 0, 0, 0, 8, 0, -8, 0, 8, 0, -16, 0, 0, 0, -72, 0, 8, 0, 32, 0, 0, 0, 0, 0, -16, 0, 72, 0, -100, 0, -4, 0, 0, 0, 20, 0, -40, 0, -32, 0, 4, 0, 0, 0, 64, 0, 114, 0, -12, 0, 44, 0, 0, 0, -8, 0, 8, 0, 36, 0, 16, 0, 0, 0, 32, 0, 4, 0, 56, 0, -76, 0, 0, 0, -32, 0, -24, 0, 4, 0, 72, 0, 0, 0, -24, 0, 0, 0, 0, 0, 8, 0, 0, 0, -64, 0, -24, 0, 12, 0, 68, 0, 0, 0, 48, 0, 44, 0, -80, 0, 20, 0, 0, 0, 40, 0, 56, 0, 28, 0, 0, 0, 0, 0, -4, 0, -16, 0, 64, 0, 64, 0, 0, 0, 4, 0, -72, 0, -4, 0, 48, 0, 0, 0, 20, 0, 44, 0, -60, 0, -4, 0, 0, 0, 84, 0, 4, 0, 24, 0, -72, 0, 0, 0, 24, 0, 78, 0, -8, 0, 72, 0, 0, 0, -16, 0, 8, 0, 112, 0, 48, 0, 0, 0, 28, 0, -8, 0, 72, 0, -12, 0, 0, 0, 112, 0, -48, 0, -8, 0, 120, 0, 0, 0, -80, 0, -56, 0, 108, 0, -4, 0, 0, 0, -12, 0, -24, 0, 56, 0, 56, 0, 0, 0, -32, 0, 52, 0, 0, 0, -24, 0, 0, 0, -8, 0, 64, 0, -62, 0, -64, 0, 0, 0, -72, 0, -8, 0, 88, 0, 52, 0, 0, 0, 12, 0, 84, 0, 32, 0, -80, 0, 0, 0, 16, 0, -36, 0, -16, 0, 8, 0, 0, 0, 76, 0, 16, 0, 48, 0, 12, 0, 0, 0, 80, 0, 44, 0, 4, 0, 176, 0, 0, 0, -16, 0, 40, 0, 28, 0, 16, 0, 0, 0, -104, 0, 8, 0, -32, 0, -44, 0, 0, 0, 80, 0, -128, 0, 90, 0, 8, 0, 0, 0, -20, 0, -64, 0, 80, 0, 36, 0, 0, 0, 12, 0, 0, 0, -144, 0, 84, 0, 0, 0, 96, 0, -56, 0, -48, 0, -128, 0, 0, 0, 4, 0, 312, 0, 28, 0, 48, 0, 0, 0, 4, 0, 36, 0, 432, 0, 184, 0, 0, 0, 32, 0, -20, 0, 16, 0, -64, 0, 0, 0, 0, 0, 80, 0, 264, 0, 4, 0, 0, 0, 16, 0, 48, 0, 12, 0, 56, 0, 0, 0, -56, 0, 18, 0, 8, 0, -24, 0, 0, 0, 40, 0, 400, 0, -68, 0, -96, 0, 0, 0, 40, 0, 4, 0, -24, 0, 80, 0, 0, 0, -8, 0, 16, 0, -80, 0, 24, 0, 0, 0, 4, 0, -44, 0, 136, 0, 40, 0, 0, 0, 52, 0, -80, 0, -72, 0, -32, 0, 0, 0, -40, 0, -192, 0, -12, 0, -144, 0, 0, 0, 32, 0, 0, 0, 324, 0, 4, 0, 0, 0, -24, 0, 200, 0, -16, 0, -68, 0, 0, 0, -104, 0, 244, 0, -8, 0, -152, 0, 0, 0, 48, 0, -88, 0, 12, 0, 104, 0, 0, 0, -2, 0, 56, 0, -84, 0, -188, 0, 0, 0, 80, 0, 88, 0, 16, 0, -84, 0, 0, 0, -36, 0, 96, 0, 20, 0, 0, 0, 0, 0, -96, 0, -76, 0, 368, 0, 148, 0, 0, 0, 164, 0, -56, 0, 216, 0, -64, 0, 0, 0, -32, 0, -28, 0, -212, 0, -32, 0, 0, 0, -64, 0, 24, 0, -140, 0, -136, 0, 0, 0, -88, 0, 124, 0, 16, 0, -176, 0, 0, 0, 88, 0, -104, 0, -64, 0, -104, 0, 0, 0, -40, 0, 114, 0, 272, 0, 52, 0, 0, 0, -96, 0, 164, 0, 12, 0, 24, 0, 0, 0, 8, 0, -64, 0, 208, 0, 32, 0, 0, 0, 180, 0, -64, 0, 40, 0, -136, 0, 0, 0, -40, 0, 100, 0, -8, 0, 216, 0, 0, 0, -24, 0, -120, 0, -176, 0, 0, 0, 0, 0, 124, 0, -32, 0, -56, 0, -12, 0, 0, 0, -44, 0, 384, 0, 0, 0, -16, 0, 0, 0, 80, 0, -132, 0, -140, 0, -20, 0, 0, 0, 0, 0, -12, 0, 200, 0, 48, 0, 0, 0, -192, 0, -44, 0, -16, 0, -4, 0, 0, 0, -36, 0, 72, 0, -98, 0, 44, 0, 0, 0, -268, 0, -176, 0, -16, 0, -84, 0, 0, 0, -44, 0, -256, 0, -88, 0, 16, 0, 0, 0, -32, 0, 0, 0, -28, 0, -36, 0, 0, 0, -84, 0, -20, 0, -140, 0, -72, 0, 0, 0, 40, 0, 160, 0, 0, 0, 96, 0, 0, 0, -8, 0, -296, 0, -32, 0, -128, 0, 0, 0, 72, 0, -20, 0, -104, 0, -128, 0, 0, 0, 96, 0, -96, 0, -52, 0, 40, 0, 0, 0, 16, 0, -152, 0, -284, 0, 88, 0, 0, 0, 4, 0, 0, 0, -248, 0, 0, 0, 0, 0, -312, 0, -20, 0, -76, 0, -124, 0, 0, 0, -32, 0, 376, 0, 42, 0, -8, 0, 0, 0, -28, 0, -24, 0, -304, 0, -176, 0, 0, 0, -160, 0, -80, 0, -36, 0, 200, 0, 0, 0, -16, 0, -320, 0, -264, 0, 44, 0, 0, 0, -140, 0, -8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1365166
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7800.2.a.by', 'source_level': 7800, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '1560.2.l.d', 'target_level': 1560, 'twist_class_label': '1560.2.l.d', 'twist_class_level': 1560, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1365167
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7800.2.a.by', 'source_level': 7800, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3120.2.l.n', 'target_level': 3120, 'twist_class_label': '1560.2.l.d', 'twist_class_level': 1560, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1365168
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7800.2.a.by', 'source_level': 7800, 'target_char_orbit': 12, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4680.2.l.g', 'target_level': 4680, 'twist_class_label': '1560.2.l.d', 'twist_class_level': 1560, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1365169
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7800.2.a.by', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '7800.2.a.bt', 'target_level': 7800, 'twist_class_label': '1560.2.l.d', 'twist_class_level': 1560, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1365170
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 51, 'source_is_minimal': False, 'source_label': '7800.2.a.by', 'source_level': 7800, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '7800.2.a.by', 'target_level': 7800, 'twist_class_label': '1560.2.l.d', 'twist_class_level': 1560, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4576750
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 225179981402087032, 'p': 2}
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id: 4576751
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 225179981402087032, 'p': 3}
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id: 4576752
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 225179981402087032, 'p': 5}
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id: 4576753
{'charpoly_factorization': [[[-16, 24, 6, -7, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 7}
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id: 4576754
{'charpoly_factorization': [[[-4, -26, -20, -1, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 11}
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id: 4576755
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 225179981402087032, 'p': 13}
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id: 4576756
{'charpoly_factorization': [[[8, 36, -26, -3, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 17}
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id: 4576757
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 225179981402087032, 'p': 19}
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id: 4576758
{'charpoly_factorization': [[[-32, 72, -20, -5, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 23}
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id: 4576759
{'charpoly_factorization': [[[256, 144, -20, -8, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 29}
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id: 4576760
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 225179981402087032, 'p': 31}
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id: 4576761
{'charpoly_factorization': [[[376, 140, -54, -5, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 37}
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id: 4576762
{'charpoly_factorization': [[[-4, 22, -8, -7, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 41}
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id: 4576763
{'charpoly_factorization': [[[256, 144, -20, -8, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 43}
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id: 4576764
{'charpoly_factorization': [[[-128, 52, 18, -10, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 47}
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id: 4576765
{'charpoly_factorization': [[[376, -140, -54, 5, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 53}
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id: 4576766
{'charpoly_factorization': [[[1072, 36, -86, -2, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 59}
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id: 4576767
{'charpoly_factorization': [[[32, 128, -22, -11, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 61}
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id: 4576768
{'charpoly_factorization': [[[-256, 224, -24, -12, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 67}
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id: 4576769
{'charpoly_factorization': [[[1256, 530, -30, -15, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 71}
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id: 4576770
{'charpoly_factorization': [[[32, -168, -12, 10, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 73}
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id: 4576771
{'charpoly_factorization': [[[7328, -52, -176, 1, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 79}
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id: 4576772
{'charpoly_factorization': [[[-2704, 1612, 10, -22, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 83}
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id: 4576773
{'charpoly_factorization': [[[268, 378, -136, -9, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 89}
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id: 4576774
{'charpoly_factorization': [[[6464, -308, -272, -1, 1], 1]], 'hecke_orbit_code': 225179981402087032, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 51, 'label': '7800.2.a.by', 'level': 7800, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 71607103
{'hecke_orbit_code': 225179981402087032, 'n': 1, 'trace_an': 4}
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id: 71607104
{'hecke_orbit_code': 225179981402087032, 'n': 2, 'trace_an': 0}
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id: 71607105
{'hecke_orbit_code': 225179981402087032, 'n': 3, 'trace_an': 4}
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id: 71607106
{'hecke_orbit_code': 225179981402087032, 'n': 4, 'trace_an': 0}
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id: 71607107
{'hecke_orbit_code': 225179981402087032, 'n': 5, 'trace_an': 0}
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id: 71607108
{'hecke_orbit_code': 225179981402087032, 'n': 6, 'trace_an': 0}
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id: 71607109
{'hecke_orbit_code': 225179981402087032, 'n': 7, 'trace_an': 7}
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id: 71607110
{'hecke_orbit_code': 225179981402087032, 'n': 8, 'trace_an': 0}
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id: 71607111
{'hecke_orbit_code': 225179981402087032, 'n': 9, 'trace_an': 4}
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id: 71607112
{'hecke_orbit_code': 225179981402087032, 'n': 10, 'trace_an': 0}
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id: 71607113
{'hecke_orbit_code': 225179981402087032, 'n': 11, 'trace_an': 1}
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id: 71607114
{'hecke_orbit_code': 225179981402087032, 'n': 12, 'trace_an': 0}
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id: 71607115
{'hecke_orbit_code': 225179981402087032, 'n': 13, 'trace_an': -4}
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id: 71607116
{'hecke_orbit_code': 225179981402087032, 'n': 14, 'trace_an': 0}
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id: 71607117
{'hecke_orbit_code': 225179981402087032, 'n': 15, 'trace_an': 0}
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id: 71607118
{'hecke_orbit_code': 225179981402087032, 'n': 16, 'trace_an': 0}
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id: 71607119
{'hecke_orbit_code': 225179981402087032, 'n': 17, 'trace_an': 3}
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id: 71607120
{'hecke_orbit_code': 225179981402087032, 'n': 18, 'trace_an': 0}
-
id: 71607121
{'hecke_orbit_code': 225179981402087032, 'n': 19, 'trace_an': 0}
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id: 71607122
{'hecke_orbit_code': 225179981402087032, 'n': 20, 'trace_an': 0}
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id: 71607123
{'hecke_orbit_code': 225179981402087032, 'n': 21, 'trace_an': 7}
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id: 71607124
{'hecke_orbit_code': 225179981402087032, 'n': 22, 'trace_an': 0}
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id: 71607125
{'hecke_orbit_code': 225179981402087032, 'n': 23, 'trace_an': 5}
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id: 71607126
{'hecke_orbit_code': 225179981402087032, 'n': 24, 'trace_an': 0}
-
id: 71607127
{'hecke_orbit_code': 225179981402087032, 'n': 25, 'trace_an': 0}
-
id: 71607128
{'hecke_orbit_code': 225179981402087032, 'n': 26, 'trace_an': 0}
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id: 71607129
{'hecke_orbit_code': 225179981402087032, 'n': 27, 'trace_an': 4}
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id: 71607130
{'hecke_orbit_code': 225179981402087032, 'n': 28, 'trace_an': 0}
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id: 71607131
{'hecke_orbit_code': 225179981402087032, 'n': 29, 'trace_an': 8}
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id: 71607132
{'hecke_orbit_code': 225179981402087032, 'n': 30, 'trace_an': 0}
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id: 71607133
{'hecke_orbit_code': 225179981402087032, 'n': 31, 'trace_an': 0}
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id: 71607134
{'hecke_orbit_code': 225179981402087032, 'n': 32, 'trace_an': 0}
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id: 71607135
{'hecke_orbit_code': 225179981402087032, 'n': 33, 'trace_an': 1}
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id: 71607334
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id: 71607335
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id: 71607338
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id: 71607339
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id: 71607340
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id: 71607341
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id: 71607344
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id: 71607345
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id: 71607346
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id: 71607347
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id: 71607348
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id: 71607349
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id: 71607350
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id: 71607351
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id: 71607352
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id: 71607353
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id: 71607354
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id: 71607355
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id: 71607356
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id: 71607357
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id: 71607358
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id: 71607359
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id: 71607360
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