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{'Nk2': 27360, 'analytic_conductor': 54.61767498255578, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -1], [19, -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': [6840, 1, [1711, 3421, 5321, 2737, 6481], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 20308, 'field_disc_factorization': [[2, 2], [5077, 1]], 'field_poly': [12, 4, -8, -1, 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, [12, -14, -4, 4, 1]], [11, [-4, -14, -10, 4, 1]], [13, [8, -18, -4, 4, 1]]], 'hecke_orbit': 43, 'hecke_orbit_code': 189151184383122104, 'hecke_ring_generator_nbound': 7, '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': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6840.2.a.bq', 'level': 6840, '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, 19], 'level_radical': 570, 'minimal_twist': '6840.2.a.bp', 'nf_label': '4.4.20308.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+(-1+\\beta _{1})q^{7}+(-1+\\beta _{1}+\\beta _{3})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': '6840.2.a', 'trace_display': [0, 0, 4, -4], 'trace_hash': 1866905163763961334, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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[-6, -11, 9, 2], [41, -13, -6, -6], [-12, 5, 15, -5], [-22, 0, -12, -2], [28, -5, 7, 11], [43, 3, 2, -1], [-11, -23, -4, -16], [-30, 0, -14, -4], [-17, 17, 8, 24], [-2, 14, 4, -3], [1, 12, 17, -7], [-50, -2, 0, 9], [2, 22, -2, 18], [-8, -2, 4, 32], [-4, 1, -11, -19], [2, 11, 9, 12], [-20, 5, 9, -5], [3, -8, -3, -25], [-6, -2, -8, -4], [68, -12, -8, -12], [-5, -9, 8, 13], [-22, 8, 14, 0], [7, -9, -2, 3], [7, -2, 7, -10], [4, -1, -1, -23], [-12, -22, -2, 4], [-6, -4, 2, -28], [-30, -19, -5, 12], [20, -7, -11, -12], [6, 23, -5, -2], [12, -10, 4, -10], [-22, 4, 16, 0], [40, -16, -16, -18], [-31, -1, -12, 5], [-27, -8, -7, -18], [4, -17, 13, 3], [-24, 15, 3, 10], [-11, -18, -7, -12], [20, -3, 1, -5], [10, 22, -8, 6], [-24, 2, -2, 16], [-34, 8, 10, 8], [-17, 6, -11, -5]], 'char_orbit_index': 1, 'field_poly': [12, 4, -8, -1, 1], 'hecke_orbit_code': 189151184383122104, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2, 2, 1], 'hecke_ring_inverse_denominators': [1, 2, 2, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 1, 0], [8, 1, 1, 2], [4, 9, 5, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [2, -4, -1, 1], [-2, 8, 1, -1], [-4, -1, 1, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '6840.2.a.bq', 'level': 6840, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 5, 5, 4, 6, 7, 6, 8, 5, 4, 4, 5, 7, 6, 8, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [75, 91, 93, 76, 84, 81, 80, 80, 77, 92, 90, 75, 79, 82, 82, 82], 'Nk2': 27360, 'analytic_conductor': 54.61767498255578, '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': [6840, 1, [1711, 3421, 5321, 2737, 6481], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1409, 'dim': 90, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 33561272, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5], 'label': '6840.2.a', 'level': 6840, '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, 19], 'level_radical': 570, 'mf_dim': 1472, 'mf_new_dim': 90, 'num_forms': 45, 'plus_dim': 42, 'prim_orbit_index': 1, 'relative_dim': 90, 'sturm_bound': 2880, 'trace_bound': 13, 'trace_display': [0, 0, 2, 0], 'traces': [90, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, -12, 0, 8, 0, 0, 0, -12, 0, 0, 0, 0, 0, 4, 0, 28, 0, 0, 0, 36, 0, 78, 0, 0, 0, 16, 0, 8, 0, 0, 0, 16, 0, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 0, -48, 0, 32, 0, 0, 0, -60, 0, -4, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -20, 0, 16, 0, 0, 0, 0, 0, -12, 0, 0, 0, 32, 0, 12, 0, 0, 0, -60, 0, 66, 0, 0, 0, 2, 0, -56, 0, 0, 0, 0, 0, -4, 0, 0, 0, -8, 0, -32, 0, 0, 0, 16, 0, -36, 0, 0, 0, -84, 0, 32, 0, 0, 0, -8, 0, -36, 0, 0, 0, -52, 0, 44, 0, 0, 0, 16, 0, -38, 0, 0, 0, 16, 0, 0, 0, 0, 0, -24, 0, 76, 0, 0, 0, -8, 0, 0, 0, 0, 0, 76, 0, -40, 0, 0, 0, 36, 0, -44, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, -24, 0, 0, 0, 20, 0, -80, 0, 0, 0, 8, 0, 0, 0, 0, 0, -48, 0, 36, 0, 0, 0, 44, 0, 28, 0, 0, 0, 52, 0, 52, 0, 0, 0, 2, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, -112, 0, 24, 0, 0, 0, 68, 0, 0, 0, 0, 0, 20, 0, -28, 0, 0, 0, 0, 0, 36, 0, 0, 0, 4, 0, 44, 0, 0, 0, 128, 0, 66, 0, 0, 0, 0, 0, -64, 0, 0, 0, 160, 0, 112, 0, 0, 0, 4, 0, 104, 0, 0, 0, 36, 0, 24, 0, 0, 0, -96, 0, 72, 0, 0, 0, -24, 0, 0, 0, 0, 0, -112, 0, 152, 0, 0, 0, 8, 0, 80, 0, 0, 0, 80, 0, -60, 0, 0, 0, -28, 0, -12, 0, 0, 0, 16, 0, 8, 0, 0, 0, -92, 0, 90, 0, 0, 0, 20, 0, -100, 0, 0, 0, 96, 0, 48, 0, 0, 0, 36, 0, 56, 0, 0, 0, 56, 0, 8, 0, 0, 0, -4, 0, -68, 0, 0, 0, -24, 0, -92, 0, 0, 0, 44, 0, 32, 0, 0, 0, -24, 0, -84, 0, 0, 0, -40, 0, 68, 0, 0, 0, 48, 0, -100, 0, 0, 0, 8, 0, 112, 0, 0, 0, 80, 0, -8, 0, 0, 0, 20, 0, 16, 0, 0, 0, 108, 0, -12, 0, 0, 0, 52, 0, -80, 0, 0, 0, 0, 0, -72, 0, 0, 0, 100, 0, 44, 0, 0, 0, -164, 0, 168, 0, 0, 0, -32, 0, 0, 0, 0, 0, -104, 0, 48, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, -64, 0, 0, 0, 112, 0, -8, 0, 0, 0, -64, 0, -68, 0, 0, 0, 12, 0, 148, 0, 0, 0, 64, 0, -16, 0, 0, 0, 116, 0, -120, 0, 0, 0, 160, 0, 14, 0, 0, 0, -104, 0, -32, 0, 0, 0, 16, 0, 20, 0, 0, 0, 12, 0, 32, 0, 0, 0, -4, 0, 24, 0, 0, 0, -132, 0, -88, 0, 0, 0, 0, 0, 56, 0, 0, 0, 84, 0, 104, 0, 0, 0, 0, 0, -112, 0, 0, 0, 8, 0, -80, 0, 0, 0, -180, 0, -24, 0, 0, 0, 188, 0, -32, 0, 0, 0, 208, 0, -140, 0, 0, 0, 10, 0, -72, 0, 0, 0, -168, 0, 108, 0, 0, 0, 36, 0, 0, 0, 0, 0, -104, 0, 90, 0, 0, 0, 112, 0, -24, 0, 0, 0, 56, 0, 312, 0, 0, 0, -44, 0, -12, 0, 0, 0, 88, 0, 56, 0, 0, 0, 204, 0, -40, 0, 0, 0, 64, 0, 12, 0, 0, 0, 12, 0, -32, 0, 0, 0, 0, 0, -104, 0, 0, 0, 112, 0, -96, 0, 0, 0, 32, 0, 28, 0, 0, 0, 84, 0, -64, 0, 0, 0, 24, 0, -32, 0, 0, 0, 220, 0, -36, 0, 0, 0, -72, 0, -28, 0, 0, 0, -144, 0, 104, 0, 0, 0, 108, 0, -40, 0, 0, 0, -12, 0, -144, 0, 0, 0, -264, 0, 204, 0, 0, 0, 48, 0, -8, 0, 0, 0, 72, 0, 20, 0, 0, 0, -24, 0, 136, 0, 0, 0, 48, 0, -140, 0, 0, 0, 160, 0, 192, 0, 0, 0, -28, 0, 0, 0, 0, 0, -176, 0, 8, 0, 0, 0, -16, 0, 64, 0, 0, 0, -36, 0, 8, 0, 0, 0, -88, 0, 24, 0, 0, 0, -32, 0, 8, 0, 0, 0, -160, 0, -64, 0, 0, 0, -136, 0, 112, 0, 0, 0, 4, 0, -12, 0, 0, 0, 84, 0, -64, 0, 0, 0, 96, 0, -92, 0, 0, 0, 52, 0, -32, 0, 0, 0, -128, 0, -118, 0, 0, 0, -2, 0, 64, 0, 0, 0, -88, 0, -148, 0, 0, 0, -32, 0, -64, 0, 0, 0, 104, 0, -24, 0, 0, 0, -96, 0, -12, 0, 0, 0, -12, 0, -96, 0, 0, 0, 68, 0, -52, 0, 0, 0, 232, 0, -88, 0, 0, 0, 52, 0, -88, 0, 0, 0, 160, 0, 8, 0, 0, 0, -44, 0, -336, 0, 0, 0, -88, 0, 32, 0, 0, 0, 152, 0, -148, 0, 0, 0, -200, 0, 0, 0, 0, 0, 168, 0, 16, 0, 0, 0, -8, 0, -16, 0, 0, 0, -212, 0, 128, 0, 0, 0, -164, 0, -232, 0, 0, 0, -232, 0, -8, 0, 0, 0, -108, 0, 106, 0, 0, 0, 48, 0, 84, 0, 0, 0, 40, 0, -40, 0, 0, 0, 24, 0, -48, 0, 0, 0, 8, 0, 28, 0, 0, 0, -176, 0, 208, 0, 0, 0, -48, 0, -180, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1320741
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 43, 'source_is_minimal': True, 'source_label': '6840.2.a.bq', 'source_level': 6840, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 42, 'target_is_minimal': True, 'target_label': '6840.2.a.bp', 'target_level': 6840, 'twist_class_label': '6840.2.a.bp', 'twist_class_level': 6840, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1320742
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 43, 'source_is_minimal': True, 'source_label': '6840.2.a.bq', 'source_level': 6840, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 43, 'target_is_minimal': True, 'target_label': '6840.2.a.bq', 'target_level': 6840, 'twist_class_label': '6840.2.a.bp', 'twist_class_level': 6840, '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: 4304050
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 189151184383122104, 'p': 2}
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id: 4304051
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 189151184383122104, 'p': 3}
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id: 4304052
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 189151184383122104, 'p': 5}
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id: 4304053
{'charpoly_factorization': [[[12, -14, -4, 4, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 7}
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id: 4304054
{'charpoly_factorization': [[[-4, -14, -10, 4, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 11}
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id: 4304055
{'charpoly_factorization': [[[8, -18, -4, 4, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 13}
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id: 4304056
{'charpoly_factorization': [[[8, 20, -28, 2, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 17}
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id: 4304057
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 189151184383122104, 'p': 19}
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id: 4304058
{'charpoly_factorization': [[[-32, -108, -52, -2, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 23}
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id: 4304059
{'charpoly_factorization': [[[-12, 34, -26, 2, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 29}
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id: 4304060
{'charpoly_factorization': [[[-656, -420, -40, 8, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 31}
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id: 4304061
{'charpoly_factorization': [[[64, -230, -40, 6, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 37}
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id: 4304062
{'charpoly_factorization': [[[848, -378, -94, 4, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 41}
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id: 4304063
{'charpoly_factorization': [[[2896, -2, -108, 0, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 43}
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id: 4304064
{'charpoly_factorization': [[[-32, 108, -52, 2, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 47}
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id: 4304065
{'charpoly_factorization': [[[552, 604, -96, -10, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 53}
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id: 4304066
{'charpoly_factorization': [[[-2896, -1872, -88, 16, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 59}
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id: 4304067
{'charpoly_factorization': [[[-472, 716, -140, -4, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 61}
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id: 4304068
{'charpoly_factorization': [[[-14368, -3160, -92, 18, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 67}
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id: 4304069
{'charpoly_factorization': [[[-864, -504, -36, 14, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 71}
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id: 4304070
{'charpoly_factorization': [[[2592, 272, -208, 2, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 73}
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id: 4304071
{'charpoly_factorization': [[[-64, 144, -88, 8, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 79}
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id: 4304072
{'charpoly_factorization': [[[17488, -724, -268, 6, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 83}
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id: 4304073
{'charpoly_factorization': [[[-216, -370, -150, 6, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 89}
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id: 4304074
{'charpoly_factorization': [[[-9068, 3030, -216, -10, 1], 1]], 'hecke_orbit_code': 189151184383122104, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 43, 'label': '6840.2.a.bq', 'level': 6840, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 70851421
{'hecke_orbit_code': 189151184383122104, 'n': 1, 'trace_an': 4}
-
id: 70851422
{'hecke_orbit_code': 189151184383122104, 'n': 2, 'trace_an': 0}
-
id: 70851423
{'hecke_orbit_code': 189151184383122104, 'n': 3, 'trace_an': 0}
-
id: 70851424
{'hecke_orbit_code': 189151184383122104, 'n': 4, 'trace_an': 0}
-
id: 70851425
{'hecke_orbit_code': 189151184383122104, 'n': 5, 'trace_an': 4}
-
id: 70851426
{'hecke_orbit_code': 189151184383122104, 'n': 6, 'trace_an': 0}
-
id: 70851427
{'hecke_orbit_code': 189151184383122104, 'n': 7, 'trace_an': -4}
-
id: 70851428
{'hecke_orbit_code': 189151184383122104, 'n': 8, 'trace_an': 0}
-
id: 70851429
{'hecke_orbit_code': 189151184383122104, 'n': 9, 'trace_an': 0}
-
id: 70851430
{'hecke_orbit_code': 189151184383122104, 'n': 10, 'trace_an': 0}
-
id: 70851431
{'hecke_orbit_code': 189151184383122104, 'n': 11, 'trace_an': -4}
-
id: 70851432
{'hecke_orbit_code': 189151184383122104, 'n': 12, 'trace_an': 0}
-
id: 70851433
{'hecke_orbit_code': 189151184383122104, 'n': 13, 'trace_an': -4}
-
id: 70851434
{'hecke_orbit_code': 189151184383122104, 'n': 14, 'trace_an': 0}
-
id: 70851435
{'hecke_orbit_code': 189151184383122104, 'n': 15, 'trace_an': 0}
-
id: 70851436
{'hecke_orbit_code': 189151184383122104, 'n': 16, 'trace_an': 0}
-
id: 70851437
{'hecke_orbit_code': 189151184383122104, 'n': 17, 'trace_an': -2}
-
id: 70851438
{'hecke_orbit_code': 189151184383122104, 'n': 18, 'trace_an': 0}
-
id: 70851439
{'hecke_orbit_code': 189151184383122104, 'n': 19, 'trace_an': 4}
-
id: 70851440
{'hecke_orbit_code': 189151184383122104, 'n': 20, 'trace_an': 0}
-
id: 70851441
{'hecke_orbit_code': 189151184383122104, 'n': 21, 'trace_an': 0}
-
id: 70851442
{'hecke_orbit_code': 189151184383122104, 'n': 22, 'trace_an': 0}
-
id: 70851443
{'hecke_orbit_code': 189151184383122104, 'n': 23, 'trace_an': 2}
-
id: 70851444
{'hecke_orbit_code': 189151184383122104, 'n': 24, 'trace_an': 0}
-
id: 70851445
{'hecke_orbit_code': 189151184383122104, 'n': 25, 'trace_an': 4}
-
id: 70851446
{'hecke_orbit_code': 189151184383122104, 'n': 26, 'trace_an': 0}
-
id: 70851447
{'hecke_orbit_code': 189151184383122104, 'n': 27, 'trace_an': 0}
-
id: 70851448
{'hecke_orbit_code': 189151184383122104, 'n': 28, 'trace_an': 0}
-
id: 70851449
{'hecke_orbit_code': 189151184383122104, 'n': 29, 'trace_an': -2}
-
id: 70851450
{'hecke_orbit_code': 189151184383122104, 'n': 30, 'trace_an': 0}
-
id: 70851451
{'hecke_orbit_code': 189151184383122104, 'n': 31, 'trace_an': -8}
-
id: 70851452
{'hecke_orbit_code': 189151184383122104, 'n': 32, 'trace_an': 0}
-
id: 70851453
{'hecke_orbit_code': 189151184383122104, 'n': 33, 'trace_an': 0}
-
id: 70851454
{'hecke_orbit_code': 189151184383122104, 'n': 34, 'trace_an': 0}
-
id: 70851455
{'hecke_orbit_code': 189151184383122104, 'n': 35, 'trace_an': -4}
-
id: 70851456
{'hecke_orbit_code': 189151184383122104, 'n': 36, 'trace_an': 0}
-
id: 70851457
{'hecke_orbit_code': 189151184383122104, 'n': 37, 'trace_an': -6}
-
id: 70851458
{'hecke_orbit_code': 189151184383122104, 'n': 38, 'trace_an': 0}
-
id: 70851459
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id: 70851656
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id: 70851657
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id: 70851658
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id: 70851659
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id: 70851660
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id: 70851661
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id: 70851662
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id: 70851663
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id: 70851664
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id: 70851665
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id: 70851666
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id: 70851667
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id: 70851668
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id: 70851669
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id: 70851670
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id: 70851671
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id: 70851672
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id: 70851673
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id: 70851674
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id: 70851675
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id: 70851676
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id: 70851677
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id: 70851678
{'hecke_orbit_code': 189151184383122104, 'n': 997, 'trace_an': 36}