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mf_newforms • Show schema
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{'Nk2': 4536, 'analytic_conductor': 20.20836129643556, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [3, 1]], 'cm_discs': [], 'conrey_index': 37, 'dim': 4, 'field_disc': 829612809, 'field_disc_factorization': [[3, 2], [9601, 2]], 'field_poly': [5760000, 2400, 2401, -1, 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': [[5, [2883204, -89994, 4507, 53, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525609809117310, 'hecke_ring_generator_nbound': 7, '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, 7, 3, 1, 3, 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': False, 'label': '126.6.g.h', 'level': 126, '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, 7], 'level_radical': 42, 'minimal_twist': '42.6.e.c', 'nf_label': '4.0.829612809.1', 'prim_orbit_index': 3, 'qexp_display': 'q+4\\beta _{2}q^{2}+(-2^{4}+2^{4}\\beta _{2})q^{4}+(-\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '5.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '126.6.g', 'trace_display': [8, 0, -53, 6], 'trace_hash': 195168620197644417, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.718', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.284', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
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7659882, 0], [-11670788, 709583, 10961205, 709583], [4897314, 0, 0, 566070], [0, 75149, 28870523, 0], [0, -721860, -9888306, 0], [5908355, 0, 0, 47484], [4062921, 174691, -4237612, 174691], [0, -33322, 9011962, 0], [-19256994, 0, 0, 373942], [21336959, 0, 0, 170418], [0, -1269, -15182580, 0], [2514882, -11796, -2503086, -11796], [29498556, 257328, -29755884, 257328], [19067773, -503160, -18564613, -503160], [6349426, -377745, -5971681, -377745]], 'char_orbit_index': 7, 'field_poly': [5760000, 2400, 2401, -1, 1], 'hecke_orbit_code': 31525609809117310, 'hecke_ring_character_values': [[29, [1, 0, 0, 0]], [73, [0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 5762400, 2401], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-2401, 1, 2400, 1], [-4801, 0, 0, 2401]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [5760000, -2401, 2401, -1], [4801, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '126.6.g.h', 'level': 126, 'maxp': 997, 'weight': 6}
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mf_newspaces • Show schema
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{'Nk2': 4536, 'analytic_conductor': 20.20836129643556, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [3, 1]], 'conrey_index': 37, 'cusp_dim': 224, 'dim': 32, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 412417523838, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 4, 4, 4], 'label': '126.6.g', 'level': 126, '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, 7], 'level_radical': 42, 'mf_dim': 256, 'mf_new_dim': 32, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 144, 'trace_bound': 5, 'trace_display': [0, 0, 72, 236], 'traces': [32, 0, 0, -256, 72, 0, 236, 0, 0, 48, -528, 0, -560, 432, 0, -4096, 384, 0, -3392, -2304, 0, 1920, -5052, 0, -7360, 6960, 0, -2752, 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-32325120, 0, -95837712, -96169512, 0, -257430944, -93213504, 0, -10247168, -48492408, 0, -188501664, -11082816, 0, 57229296, -12778968, 0, -15290280, 79841568, 0, -154164736, 81300168, 0, 100127452, 10100736, 0, -111352896, 340847088, 0, 175182460, 52814160, 0, 7137792], 'weight': 6, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 108797
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '42.6.e.c', 'target_level': 42, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 108798
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '42.6.e.c', 'target_level': 42, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 6}
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id: 108799
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '126.6.g.h', 'target_level': 126, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 6}
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id: 108800
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '126.6.g.h', 'target_level': 126, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 108801
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '294.6.a.r', 'target_level': 294, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 6}
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id: 108802
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '294.6.a.w', 'target_level': 294, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 6}
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id: 108803
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '294.6.e.s', 'target_level': 294, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 6}
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id: 108804
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '294.6.e.s', 'target_level': 294, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 6}
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id: 108805
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '336.6.q.f', 'target_level': 336, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 6}
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id: 108806
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '336.6.q.f', 'target_level': 336, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 6}
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id: 108807
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '882.6.a.bb', 'target_level': 882, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 6}
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id: 108808
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '126.6.g.h', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '882.6.a.bh', 'target_level': 882, 'twist_class_label': '42.6.e.c', 'twist_class_level': 42, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 6}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 350800
{'charpoly_factorization': [[[16, -4, 1], 2]], 'hecke_orbit_code': 31525609809117310, 'p': 2}
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id: 350801
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 31525609809117310, 'p': 3}
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id: 350802
{'charpoly_factorization': [[[2883204, -89994, 4507, 53, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 5}
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id: 350803
{'charpoly_factorization': [[[282475249, -100842, -4781, -6, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 7}
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id: 350804
{'charpoly_factorization': [[[2589384996, 9719226, 87367, -191, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 11}
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id: 350805
{'charpoly_factorization': [[[-254520, 379, 1], 2]], 'hecke_orbit_code': 31525609809117310, 'p': 13}
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id: 350806
{'charpoly_factorization': [[[867133440000, -316608000, 1046800, 340, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 17}
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id: 350807
{'charpoly_factorization': [[[8227948033600, 5074270360, 5997801, -1769, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 19}
-
id: 350808
{'charpoly_factorization': [[[6653923430400, -8347326720, 7892176, -3236, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 23}
-
id: 350809
{'charpoly_factorization': [[[-3960660, 4459, 1], 2]], 'hecke_orbit_code': 31525609809117310, 'p': 29}
-
id: 350810
{'charpoly_factorization': [[[4040269588503225, -126744851310, 67539151, 1994, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 31}
-
id: 350811
{'charpoly_factorization': [[[9942700716200464, 2052793425004, 324111477, 20587, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 37}
-
id: 350812
{'charpoly_factorization': [[[8966160, 8814, 1], 2]], 'hecke_orbit_code': 31525609809117310, 'p': 41}
-
id: 350813
{'charpoly_factorization': [[[44661910, -15853, 1], 2]], 'hecke_orbit_code': 31525609809117310, 'p': 43}
-
id: 350814
{'charpoly_factorization': [[[52483809749276304, -7769017144224, 920930292, -33912, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 47}
-
id: 350815
{'charpoly_factorization': [[[234844064631551376, -23861570178636, 1939871997, -49239, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 53}
-
id: 350816
{'charpoly_factorization': [[[641088840321015696, 45426593189460, 2418179989, 56735, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 59}
-
id: 350817
{'charpoly_factorization': [[[1292483992550115600, 76748134547280, 3420455404, 67508, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 61}
-
id: 350818
{'charpoly_factorization': [[[1347686929342656100, 87906769364370, 4573073539, 75723, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 67}
-
id: 350819
{'charpoly_factorization': [[[-4289674884, -8992, 1], 2]], 'hecke_orbit_code': 31525609809117310, 'p': 71}
-
id: 350820
{'charpoly_factorization': [[[3367701404869597636, 5874250509006, 1845376207, -3201, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 73}
-
id: 350821
{'charpoly_factorization': [[[4650336176778498969, -57387814991556, 2864662357, 26612, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 79}
-
id: 350822
{'charpoly_factorization': [[[-7511023590, -949, 1], 2]], 'hecke_orbit_code': 31525609809117310, 'p': 83}
-
id: 350823
{'charpoly_factorization': [[[59100484299832452096, -1357352851108032, 23486455908, -176562, 1], 1]], 'hecke_orbit_code': 31525609809117310, 'p': 89}
-
id: 350824
{'charpoly_factorization': [[[-5231869258, 129423, 1], 2]], 'hecke_orbit_code': 31525609809117310, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 8, 'label': '126.6.g.h', 'level': 126, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50018179
{'hecke_orbit_code': 31525609809117310, 'n': 1, 'trace_an': 4}
-
id: 50018180
{'hecke_orbit_code': 31525609809117310, 'n': 2, 'trace_an': 8}
-
id: 50018181
{'hecke_orbit_code': 31525609809117310, 'n': 3, 'trace_an': 0}
-
id: 50018182
{'hecke_orbit_code': 31525609809117310, 'n': 4, 'trace_an': -32}
-
id: 50018183
{'hecke_orbit_code': 31525609809117310, 'n': 5, 'trace_an': -53}
-
id: 50018184
{'hecke_orbit_code': 31525609809117310, 'n': 6, 'trace_an': 0}
-
id: 50018185
{'hecke_orbit_code': 31525609809117310, 'n': 7, 'trace_an': 6}
-
id: 50018186
{'hecke_orbit_code': 31525609809117310, 'n': 8, 'trace_an': -256}
-
id: 50018187
{'hecke_orbit_code': 31525609809117310, 'n': 9, 'trace_an': 0}
-
id: 50018188
{'hecke_orbit_code': 31525609809117310, 'n': 10, 'trace_an': 212}
-
id: 50018189
{'hecke_orbit_code': 31525609809117310, 'n': 11, 'trace_an': 191}
-
id: 50018190
{'hecke_orbit_code': 31525609809117310, 'n': 12, 'trace_an': 0}
-
id: 50018191
{'hecke_orbit_code': 31525609809117310, 'n': 13, 'trace_an': -758}
-
id: 50018192
{'hecke_orbit_code': 31525609809117310, 'n': 14, 'trace_an': 36}
-
id: 50018193
{'hecke_orbit_code': 31525609809117310, 'n': 15, 'trace_an': 0}
-
id: 50018194
{'hecke_orbit_code': 31525609809117310, 'n': 16, 'trace_an': -512}
-
id: 50018195
{'hecke_orbit_code': 31525609809117310, 'n': 17, 'trace_an': -340}
-
id: 50018196
{'hecke_orbit_code': 31525609809117310, 'n': 18, 'trace_an': 0}
-
id: 50018197
{'hecke_orbit_code': 31525609809117310, 'n': 19, 'trace_an': 1769}
-
id: 50018198
{'hecke_orbit_code': 31525609809117310, 'n': 20, 'trace_an': 1696}
-
id: 50018199
{'hecke_orbit_code': 31525609809117310, 'n': 21, 'trace_an': 0}
-
id: 50018200
{'hecke_orbit_code': 31525609809117310, 'n': 22, 'trace_an': 1528}
-
id: 50018201
{'hecke_orbit_code': 31525609809117310, 'n': 23, 'trace_an': 3236}
-
id: 50018202
{'hecke_orbit_code': 31525609809117310, 'n': 24, 'trace_an': 0}
-
id: 50018203
{'hecke_orbit_code': 31525609809117310, 'n': 25, 'trace_an': 45}
-
id: 50018204
{'hecke_orbit_code': 31525609809117310, 'n': 26, 'trace_an': -1516}
-
id: 50018205
{'hecke_orbit_code': 31525609809117310, 'n': 27, 'trace_an': 0}
-
id: 50018206
{'hecke_orbit_code': 31525609809117310, 'n': 28, 'trace_an': 48}
-
id: 50018207
{'hecke_orbit_code': 31525609809117310, 'n': 29, 'trace_an': -8918}
-
id: 50018208
{'hecke_orbit_code': 31525609809117310, 'n': 30, 'trace_an': 0}
-
id: 50018209
{'hecke_orbit_code': 31525609809117310, 'n': 31, 'trace_an': -1994}
-
id: 50018210
{'hecke_orbit_code': 31525609809117310, 'n': 32, 'trace_an': 2048}
-
id: 50018211
{'hecke_orbit_code': 31525609809117310, 'n': 33, 'trace_an': 0}
-
id: 50018212
{'hecke_orbit_code': 31525609809117310, 'n': 34, 'trace_an': -2720}
-
id: 50018213
{'hecke_orbit_code': 31525609809117310, 'n': 35, 'trace_an': 4562}
-
id: 50018214
{'hecke_orbit_code': 31525609809117310, 'n': 36, 'trace_an': 0}
-
id: 50018215
{'hecke_orbit_code': 31525609809117310, 'n': 37, 'trace_an': -20587}
-
id: 50018216
{'hecke_orbit_code': 31525609809117310, 'n': 38, 'trace_an': -7076}
-
id: 50018217
{'hecke_orbit_code': 31525609809117310, 'n': 39, 'trace_an': 0}
-
id: 50018218
{'hecke_orbit_code': 31525609809117310, 'n': 40, 'trace_an': 3392}
-
id: 50018219
{'hecke_orbit_code': 31525609809117310, 'n': 41, 'trace_an': -17628}
-
id: 50018220
{'hecke_orbit_code': 31525609809117310, 'n': 42, 'trace_an': 0}
-
id: 50018221
{'hecke_orbit_code': 31525609809117310, 'n': 43, 'trace_an': 31706}
-
id: 50018222
{'hecke_orbit_code': 31525609809117310, 'n': 44, 'trace_an': 3056}
-
id: 50018223
{'hecke_orbit_code': 31525609809117310, 'n': 45, 'trace_an': 0}
-
id: 50018224
{'hecke_orbit_code': 31525609809117310, 'n': 46, 'trace_an': -12944}
-
id: 50018225
{'hecke_orbit_code': 31525609809117310, 'n': 47, 'trace_an': 33912}
-
id: 50018226
{'hecke_orbit_code': 31525609809117310, 'n': 48, 'trace_an': 0}
-
id: 50018227
{'hecke_orbit_code': 31525609809117310, 'n': 49, 'trace_an': 9598}
-
id: 50018228
{'hecke_orbit_code': 31525609809117310, 'n': 50, 'trace_an': 360}
-
id: 50018229
{'hecke_orbit_code': 31525609809117310, 'n': 51, 'trace_an': 0}
-
id: 50018230
{'hecke_orbit_code': 31525609809117310, 'n': 52, 'trace_an': 6064}
-
id: 50018231
{'hecke_orbit_code': 31525609809117310, 'n': 53, 'trace_an': 49239}
-
id: 50018232
{'hecke_orbit_code': 31525609809117310, 'n': 54, 'trace_an': 0}
-
id: 50018233
{'hecke_orbit_code': 31525609809117310, 'n': 55, 'trace_an': 37882}
-
id: 50018234
{'hecke_orbit_code': 31525609809117310, 'n': 56, 'trace_an': -384}
-
id: 50018235
{'hecke_orbit_code': 31525609809117310, 'n': 57, 'trace_an': 0}
-
id: 50018236
{'hecke_orbit_code': 31525609809117310, 'n': 58, 'trace_an': -17836}
-
id: 50018237
{'hecke_orbit_code': 31525609809117310, 'n': 59, 'trace_an': -56735}
-
id: 50018238
{'hecke_orbit_code': 31525609809117310, 'n': 60, 'trace_an': 0}
-
id: 50018239
{'hecke_orbit_code': 31525609809117310, 'n': 61, 'trace_an': -67508}
-
id: 50018240
{'hecke_orbit_code': 31525609809117310, 'n': 62, 'trace_an': -15952}
-
id: 50018241
{'hecke_orbit_code': 31525609809117310, 'n': 63, 'trace_an': 0}
-
id: 50018242
{'hecke_orbit_code': 31525609809117310, 'n': 64, 'trace_an': 16384}
-
id: 50018243
{'hecke_orbit_code': 31525609809117310, 'n': 65, 'trace_an': -42762}
-
id: 50018244
{'hecke_orbit_code': 31525609809117310, 'n': 66, 'trace_an': 0}
-
id: 50018245
{'hecke_orbit_code': 31525609809117310, 'n': 67, 'trace_an': -75723}
-
id: 50018246
{'hecke_orbit_code': 31525609809117310, 'n': 68, 'trace_an': -5440}
-
id: 50018247
{'hecke_orbit_code': 31525609809117310, 'n': 69, 'trace_an': 0}
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