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mf_newforms • Show schema
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{'Nk2': 3080, 'analytic_conductor': 6.14848095563859, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 5, 'char_parity': 1, 'char_values': [770, 5, [617, 661, 211], [5, 5, 2]], 'cm_discs': [], 'conrey_index': 71, 'dim': 8, 'field_disc': 484000000, 'field_disc_factorization': [[2, 8], [5, 6], [11, 2]], 'field_poly': [121, 0, 66, 0, 16, 0, 1, 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': [[3, [25, 0, 65, 80, 46, -8, 4, -2, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518891523605250, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '770.2.n.f', 'level': 770, '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': True, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'minimal_twist': '770.2.n.f', 'nf_label': '8.0.484000000.9', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{5}q^{2}+(-\\beta _{3}-\\beta _{4}-\\beta _{7})q^{3}+(-1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '770.2.n', 'trace_display': [2, 2, -2, 2], 'trace_hash': 910255563060673481, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.885', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.582', 'prec': 17}, {'__RealLiteral__': 0, 'data': '213.576', 'prec': 24}, {'__RealLiteral__': 0, 'data': '335.656', 'prec': 24}, {'__RealLiteral__': 0, 'data': '11196.327', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [8, 2, 2, -2, -2, -2, 2, 2, 2, -8, 0, -8, -2, -2, 2, -2, -6, 8, 6, -2, 8, 0, 0, -2, -2, 12, -4, 2, 20, -2, -6, -8, -8, -24, 2, -8, 16, 4, 20, 2, -12, 2, 20, 0, 12, 0, -16, 2, -2, 2, -20, -12, -30, 44, 0, 8, 0, -20, -18, 2, 8, -24, 8, -2, 28, 18, 0, -6, -28, -2, 22, -2, -50, -16, 2, -4, 0, 60, -34, -2, -28, 12, -34, -2, -6, 0, 4, 0, -8, -2, 12, 0, 56, -24, 6, -2, 0, -8, -24, 8, -6, 20, 46, 2, -2, -10, 54, -4, -40, 0, -12, 2, -16, 30, 0, -30, -34, 18, 6, 8, 38, -28, 26, 24, -2, 2, 14, 2, 76, 2, 20, 42, 4, -10, 26, 6, -2, -32, -32, 2, -52, 28, 2, 12, -30, 50, 2, -34, 12, -2, 42, 4, -12, 0, -36, 20, -18, -26, 18, 2, 0, 28, -46, 48, -28, -16, -20, 2, -18, 6, 2, -10, -10, -44, -8, 0, 20, 28, -16, -8, 6, -2, -18, 0, -34, 4, 16, -16, 4, -6, -38, 2, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, -1, -1, 0, 0, -1], [-1, 0, -1, -1, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 1, 0], [1, 0, 1, 1, 0, -1, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0], [0, 2, -1, -1, 0, -1, -2, -2], [-1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 2, 0, -1, 0], [-1, 0, 0, 0, 1, 0, 0, 0], [0, 2, -1, -1, 1, -3, -1, -1], [0, 0, 0, 1, 0, 0, 0, 0], [1, 1, 1, 1, 0, -1, 0, 0], [0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, -1, -1], [2, 2, 2, 1, 0, -1, 0, 0], [1, 0, 0, 0, -2, -1, 0, -2], [0, 0, 0, 0, 0, -1, 0, 0], [1, 0, 0, 0, -1, 0, 0, 0], [0, 2, 0, 0, 0, 0, -2, -1], [0, -2, 0, 0, 0, 0, 0, 2], [0, 1, 0, 0, 0, -1, -1, -1], [0, 0, 0, 1, 0, 0, 0, 0], [4, 2, 4, 3, 1, -3, -1, 0], [-3, 0, -7, -3, 0, 0, -1, -1], [0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, -5, -1, 5, 1, 0], [0, 0, 0, 1, 1, 0, 0, 1], [0, 4, 3, 3, 3, 3, -1, -1], [-1, 0, 0, 0, 0, 0, 0, 0], [-2, -1, -3, 3, 1, 4, 0, 2], [-3, 1, 0, 0, -1, 0, 0, -1], [0, 0, 0, 0, 0, 1, 0, 0], [-1, 0, 0, 1, 2, 1, 0, 2], 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0, -7, -19, 0, 0, 3, 4], [-13, 0, -15, -13, 0, 0, 10, -8], [5, 4, 0, 7, -18, -5, -4, -18], [-27, -7, -27, -27, -11, 27, 11, 0], [0, 10, 19, 19, 9, -1, -1, -1], [0, 8, 12, 12, -3, -13, -11, -11], [8, -4, 8, -3, -3, 3, 3, 0], [-11, -1, 0, -3, 13, 11, 1, 13], [-23, 0, -7, -23, 0, 0, 9, 8], [-17, 13, -13, 0, -4, 13, 0, -13], [-9, -4, 7, 0, -10, -7, 0, 4], [13, 0, 26, 13, 0, 0, -5, -7], [-3, -11, 0, -7, -9, 3, 11, -9], [-4, -17, 8, 0, 9, -8, 0, 17], [-5, -1, 0, -4, 8, 5, 1, 8], [7, 7, 7, 14, 6, -14, -6, 0], [-12, 0, -13, -12, 0, 0, 7, 9], [0, -9, 1, 1, -2, -4, 7, 7], [4, 0, 15, 4, 0, 0, -10, 7], [-2, 0, -16, -2, 0, 0, 5, -10], [0, -12, -18, -18, 7, 25, 19, 19], [15, 0, -12, 15, 0, 0, -13, -5], [5, 21, -4, 0, -9, 4, 0, -21], [5, 17, 5, -7, 20, 7, -20, 0], [-23, -7, -20, 0, -4, 20, 0, 7], [6, 0, 0, 14, 0, -6, 0, 0], [0, 14, -2, -2, -2, 4, -16, -16], [7, -11, 7, 22, -2, -22, 2, 0], [-19, 8, 5, 0, 1, -5, 0, -8], [-7, 5, -7, 12, 4, -12, -4, 0]], 'char_orbit_index': 14, 'field_poly': [121, 0, 66, 0, 16, 0, 1, 0, 1], 'hecke_orbit_code': 22518891523605250, 'hecke_ring_character_values': [[617, [1, 0, 0, 0, 0, 0, 0, 0]], [661, [1, 0, 0, 0, 0, 0, 0, 0]], [211, [-1, 0, -1, -1, 0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1991, 1991, 1991, 1991, 1991, 1991], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 4, 1, 0, 0, 0, 0], [0, -3, 0, 0, 1, 0, 4, 4], [-7, 0, 0, 10, 0, 7, 0, 0], [0, -7, 0, 0, 17, 0, 0, 7], [-75, 0, -75, -37, 0, 37, 0, 0], [0, 0, 0, 0, 0, 0, -75, -38]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-363, 0, 629, 0, -37, 0, 7, 0], [-539, 0, -525, 0, 148, 0, -28, 0], [0, -539, 0, -525, 0, 148, 0, -28], [2761, 0, 750, 0, 73, 0, 40, 0], [0, -1672, 0, -646, 0, 38, 0, -61], [0, 3300, 0, 1275, 0, -75, 0, 68]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '770.2.n.f', 'level': 770, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3080, 'analytic_conductor': 6.14848095563859, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 14, 'char_orbit_label': 'n', 'char_order': 5, 'char_parity': 1, 'char_values': [770, 5, [617, 661, 211], [5, 5, 2]], 'conrey_index': 71, 'cusp_dim': 544, 'dim': 96, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 893386752770, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 12, 12, 12, 12, 16], 'label': '770.2.n', 'level': 770, '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': True, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'mf_dim': 608, 'mf_new_dim': 96, 'num_forms': 11, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 288, 'trace_bound': 3, 'trace_display': [-4, -8, 0, 0], 'traces': [96, -4, -8, -24, 0, 12, 0, -4, -20, 0, 24, -8, 24, 0, 12, -24, -24, 0, 36, 0, -8, -12, 16, 12, -24, -8, -20, 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-176, -140, -24, -20, 1136, -112, 80, -88, 72, 152, -272, 112, 144, -16, -260, 240, 200, -72, 152, -16, 40, -96, 204, -32, -64, -40, -416, -28, -32, 32, 648, -40, -160, -80, 36, 80, -176, 160, -92, 32, 72, -96, 228, 20, 96, 80, -328, 16, 128, -28, -264, 168, 100, 4, -24, -16, 288, 160, -80, 72, -640, -48, -32, 12, -40, 272, -256, -140, 0, 40, 240, 124, -120, -88, -40, 212, 96, 232, -40, -64, 496, -768, -32, 0, -184, 208, 48, -56, 0, 48, 16, 72, -112, -168, -232, 0, -492, 32, -136, 20, 112, -8, -128, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 491872
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '770.2.n.f', 'source_level': 770, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '770.2.n.f', 'target_level': 770, 'twist_class_label': '770.2.n.f', 'twist_class_level': 770, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 491873
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '770.2.n.f', 'source_level': 770, 'target_char_orbit': 14, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '770.2.n.f', 'target_level': 770, 'twist_class_label': '770.2.n.f', 'twist_class_level': 770, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 491874
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '770.2.n.f', 'source_level': 770, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '8470.2.a.co', 'target_level': 8470, 'twist_class_label': '770.2.n.f', 'twist_class_level': 770, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 491875
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 14, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '770.2.n.f', 'source_level': 770, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 71, 'target_is_minimal': False, 'target_label': '8470.2.a.cs', 'target_level': 8470, 'twist_class_label': '770.2.n.f', 'twist_class_level': 770, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1308025
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 22518891523605250, 'p': 2}
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id: 1308026
{'charpoly_factorization': [[[25, 0, 65, 80, 46, -8, 4, -2, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 3}
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id: 1308027
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 2]], 'hecke_orbit_code': 22518891523605250, 'p': 5}
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id: 1308028
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 22518891523605250, 'p': 7}
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id: 1308029
{'charpoly_factorization': [[[14641, 0, -2299, 0, 231, 0, -19, 0, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 11}
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id: 1308030
{'charpoly_factorization': [[[48400, -48400, 22440, -3520, 936, 108, 24, 2, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 13}
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id: 1308031
{'charpoly_factorization': [[[625, 1500, 3975, 3540, 1576, 336, 46, 6, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 17}
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id: 1308032
{'charpoly_factorization': [[[21025, 8700, 4740, 730, 246, 4, 21, -6, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 19}
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id: 1308033
{'charpoly_factorization': [[[176, 0, -32, 0, 1], 2]], 'hecke_orbit_code': 22518891523605250, 'p': 23}
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id: 1308034
{'charpoly_factorization': [[[26896, 101680, 137184, -61360, 16136, -2560, 294, -20, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 29}
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id: 1308035
{'charpoly_factorization': [[[21939856, 4665264, 1000712, 70272, 3880, -132, 72, 6, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 31}
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id: 1308036
{'charpoly_factorization': [[[1210000, 242000, -39600, -25520, 13776, -2056, 286, -16, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 37}
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id: 1308037
{'charpoly_factorization': [[[703921, 422856, 124553, 18840, 7156, 720, 102, 12, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 41}
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id: 1308038
{'charpoly_factorization': [[[971, 280, -53, -10, 1], 2]], 'hecke_orbit_code': 22518891523605250, 'p': 43}
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id: 1308039
{'charpoly_factorization': [[[2611456, 51712, 82752, -10240, 2816, 800, 168, 16, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 47}
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id: 1308040
{'charpoly_factorization': [[[7862416, 2860080, 878096, 175560, 29296, 4080, 446, 30, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 53}
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id: 1308041
{'charpoly_factorization': [[[24025, -55800, 42560, 28530, 11266, 2412, 329, 18, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 59}
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id: 1308042
{'charpoly_factorization': [[[80656, -31808, 18088, -296, -420, -76, 138, -8, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 61}
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id: 1308043
{'charpoly_factorization': [[[-29, -50, -23, 0, 1], 2]], 'hecke_orbit_code': 22518891523605250, 'p': 67}
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id: 1308044
{'charpoly_factorization': [[[309136, -153456, 75368, -23360, 6376, -1420, 232, -22, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 71}
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id: 1308045
{'charpoly_factorization': [[[689010001, 143057050, 23027261, 2704620, 266756, 21030, 1286, 50, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 73}
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id: 1308046
{'charpoly_factorization': [[[2016400, 1391600, 646640, 190200, 39296, 5664, 566, 34, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 79}
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id: 1308047
{'charpoly_factorization': [[[1113025, 242650, 308940, 173810, 49526, 6764, 621, 34, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 83}
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id: 1308048
{'charpoly_factorization': [[[-2749, -1396, -169, 4, 1], 2]], 'hecke_orbit_code': 22518891523605250, 'p': 89}
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id: 1308049
{'charpoly_factorization': [[[2042041, 785950, 397546, 65260, 12316, 140, -49, 0, 1], 1]], 'hecke_orbit_code': 22518891523605250, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 14, 'hecke_orbit': 6, 'label': '770.2.n.f', 'level': 770, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 44769685
{'hecke_orbit_code': 22518891523605250, 'n': 1, 'trace_an': 8}
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id: 44769686
{'hecke_orbit_code': 22518891523605250, 'n': 2, 'trace_an': 2}
-
id: 44769687
{'hecke_orbit_code': 22518891523605250, 'n': 3, 'trace_an': 2}
-
id: 44769688
{'hecke_orbit_code': 22518891523605250, 'n': 4, 'trace_an': -2}
-
id: 44769689
{'hecke_orbit_code': 22518891523605250, 'n': 5, 'trace_an': -2}
-
id: 44769690
{'hecke_orbit_code': 22518891523605250, 'n': 6, 'trace_an': -2}
-
id: 44769691
{'hecke_orbit_code': 22518891523605250, 'n': 7, 'trace_an': 2}
-
id: 44769692
{'hecke_orbit_code': 22518891523605250, 'n': 8, 'trace_an': 2}
-
id: 44769693
{'hecke_orbit_code': 22518891523605250, 'n': 9, 'trace_an': 2}
-
id: 44769694
{'hecke_orbit_code': 22518891523605250, 'n': 10, 'trace_an': -8}
-
id: 44769695
{'hecke_orbit_code': 22518891523605250, 'n': 11, 'trace_an': 0}
-
id: 44769696
{'hecke_orbit_code': 22518891523605250, 'n': 12, 'trace_an': -8}
-
id: 44769697
{'hecke_orbit_code': 22518891523605250, 'n': 13, 'trace_an': -2}
-
id: 44769698
{'hecke_orbit_code': 22518891523605250, 'n': 14, 'trace_an': -2}
-
id: 44769699
{'hecke_orbit_code': 22518891523605250, 'n': 15, 'trace_an': 2}
-
id: 44769700
{'hecke_orbit_code': 22518891523605250, 'n': 16, 'trace_an': -2}
-
id: 44769701
{'hecke_orbit_code': 22518891523605250, 'n': 17, 'trace_an': -6}
-
id: 44769702
{'hecke_orbit_code': 22518891523605250, 'n': 18, 'trace_an': 8}
-
id: 44769703
{'hecke_orbit_code': 22518891523605250, 'n': 19, 'trace_an': 6}
-
id: 44769704
{'hecke_orbit_code': 22518891523605250, 'n': 20, 'trace_an': -2}
-
id: 44769705
{'hecke_orbit_code': 22518891523605250, 'n': 21, 'trace_an': 8}
-
id: 44769706
{'hecke_orbit_code': 22518891523605250, 'n': 22, 'trace_an': 0}
-
id: 44769707
{'hecke_orbit_code': 22518891523605250, 'n': 23, 'trace_an': 0}
-
id: 44769708
{'hecke_orbit_code': 22518891523605250, 'n': 24, 'trace_an': -2}
-
id: 44769709
{'hecke_orbit_code': 22518891523605250, 'n': 25, 'trace_an': -2}
-
id: 44769710
{'hecke_orbit_code': 22518891523605250, 'n': 26, 'trace_an': 12}
-
id: 44769711
{'hecke_orbit_code': 22518891523605250, 'n': 27, 'trace_an': -4}
-
id: 44769712
{'hecke_orbit_code': 22518891523605250, 'n': 28, 'trace_an': 2}
-
id: 44769713
{'hecke_orbit_code': 22518891523605250, 'n': 29, 'trace_an': 20}
-
id: 44769714
{'hecke_orbit_code': 22518891523605250, 'n': 30, 'trace_an': -2}
-
id: 44769715
{'hecke_orbit_code': 22518891523605250, 'n': 31, 'trace_an': -6}
-
id: 44769716
{'hecke_orbit_code': 22518891523605250, 'n': 32, 'trace_an': -8}
-
id: 44769717
{'hecke_orbit_code': 22518891523605250, 'n': 33, 'trace_an': -8}
-
id: 44769718
{'hecke_orbit_code': 22518891523605250, 'n': 34, 'trace_an': -24}
-
id: 44769719
{'hecke_orbit_code': 22518891523605250, 'n': 35, 'trace_an': 2}
-
id: 44769720
{'hecke_orbit_code': 22518891523605250, 'n': 36, 'trace_an': -8}
-
id: 44769721
{'hecke_orbit_code': 22518891523605250, 'n': 37, 'trace_an': 16}
-
id: 44769722
{'hecke_orbit_code': 22518891523605250, 'n': 38, 'trace_an': 4}
-
id: 44769723
{'hecke_orbit_code': 22518891523605250, 'n': 39, 'trace_an': 20}
-
id: 44769724
{'hecke_orbit_code': 22518891523605250, 'n': 40, 'trace_an': 2}
-
id: 44769725
{'hecke_orbit_code': 22518891523605250, 'n': 41, 'trace_an': -12}
-
id: 44769726
{'hecke_orbit_code': 22518891523605250, 'n': 42, 'trace_an': 2}
-
id: 44769727
{'hecke_orbit_code': 22518891523605250, 'n': 43, 'trace_an': 20}
-
id: 44769728
{'hecke_orbit_code': 22518891523605250, 'n': 44, 'trace_an': 0}
-
id: 44769729
{'hecke_orbit_code': 22518891523605250, 'n': 45, 'trace_an': 12}
-
id: 44769730
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