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mf_newforms • Show schema
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{'Nk2': 14580, 'analytic_conductor': 44.1418028263681, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 6, 'char_parity': -1, 'char_values': [1620, 6, [811, 1541, 1297], [6, 5, 6]], 'cm_discs': [], 'conrey_index': 701, 'conrey_indexes': [701, 1241], 'dim': 4, 'field_disc': 3600, 'field_disc_factorization': [[2, 4], [3, 2], [5, 2]], 'field_poly': [25, 0, -5, 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': [[7, [16, -4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008161377748564, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 9, 4, -1, 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mf_hecke_nf • Show schema
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'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 5, 0], [0, 0, 0, 5]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1620.3.o.c', 'level': 1620, 'maxp': 1999, 'weight': 3}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 14580, 'analytic_conductor': 44.1418028263681, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 15, 'char_orbit_label': 'o', 'char_order': 6, 'char_parity': -1, 'char_values': [1620, 6, [811, 1541, 1297], [6, 5, 6]], 'conrey_index': 701, 'cusp_dim': 1224, 'dim': 64, 'eis_dim': 144, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 962123007572, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 32], 'label': '1620.3.o', 'level': 1620, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1368, 'mf_new_dim': 64, 'num_forms': 7, 'prim_orbit_index': 4, 'relative_dim': 32, 'sturm_bound': 972, 'trace_bound': 7, 'trace_display': [0, 0, 0, -10], 'traces': [64, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 92, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, -402, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 777023
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '540.3.g.b', 'target_level': 540, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 777024
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '540.3.g.b', 'target_level': 540, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 777025
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.o.c', 'target_level': 1620, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 777026
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.o.c', 'target_level': 1620, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 777027
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.o.c', 'target_level': 1620, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 777028
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 15, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.3.o.c', 'target_level': 1620, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 777029
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2160.3.l.c', 'target_level': 2160, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 3}
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id: 777030
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2160.3.l.c', 'target_level': 2160, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 777031
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2700.3.b.i', 'target_level': 2700, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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id: 777032
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '2700.3.b.i', 'target_level': 2700, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 777033
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2700.3.g.k', 'target_level': 2700, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 777034
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 15, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1620.3.o.c', 'source_level': 1620, 'target_char_orbit': 7, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2700.3.g.k', 'target_level': 2700, 'twist_class_label': '540.3.g.b', 'twist_class_level': 540, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2084625
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008161377748564, 'p': 2}
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id: 2084626
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9008161377748564, 'p': 3}
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id: 2084627
{'charpoly_factorization': [[[25, 0, -5, 0, 1], 1]], 'hecke_orbit_code': 9008161377748564, 'p': 5}
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id: 2084628
{'charpoly_factorization': [[[16, -4, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 7}
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id: 2084629
{'charpoly_factorization': [[[2025, 0, -45, 0, 1], 1]], 'hecke_orbit_code': 9008161377748564, 'p': 11}
-
id: 2084630
{'charpoly_factorization': [[[49, -7, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 13}
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id: 2084631
{'charpoly_factorization': [[[405, 0, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 17}
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id: 2084632
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 9008161377748564, 'p': 19}
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id: 2084633
{'charpoly_factorization': [[[2025, 0, -45, 0, 1], 1]], 'hecke_orbit_code': 9008161377748564, 'p': 23}
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id: 2084634
{'charpoly_factorization': [[[4862025, 0, -2205, 0, 1], 1]], 'hecke_orbit_code': 9008161377748564, 'p': 29}
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id: 2084635
{'charpoly_factorization': [[[841, 29, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 31}
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id: 2084636
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 9008161377748564, 'p': 37}
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id: 2084637
{'charpoly_factorization': [[[32400, 0, -180, 0, 1], 1]], 'hecke_orbit_code': 9008161377748564, 'p': 41}
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id: 2084638
{'charpoly_factorization': [[[49, -7, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 43}
-
id: 2084639
{'charpoly_factorization': [[[1265625, 0, -1125, 0, 1], 1]], 'hecke_orbit_code': 9008161377748564, 'p': 47}
-
id: 2084640
{'charpoly_factorization': [[[8820, 0, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 53}
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id: 2084641
{'charpoly_factorization': [[[2624400, 0, -1620, 0, 1], 1]], 'hecke_orbit_code': 9008161377748564, 'p': 59}
-
id: 2084642
{'charpoly_factorization': [[[3844, 62, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 61}
-
id: 2084643
{'charpoly_factorization': [[[3364, -58, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 67}
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id: 2084644
{'charpoly_factorization': [[[2880, 0, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 71}
-
id: 2084645
{'charpoly_factorization': [[[52, 1], 4]], 'hecke_orbit_code': 9008161377748564, 'p': 73}
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id: 2084646
{'charpoly_factorization': [[[2401, -49, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 79}
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id: 2084647
{'charpoly_factorization': [[[32400, 0, -180, 0, 1], 1]], 'hecke_orbit_code': 9008161377748564, 'p': 83}
-
id: 2084648
{'charpoly_factorization': [[[11520, 0, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 89}
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id: 2084649
{'charpoly_factorization': [[[1156, -34, 1], 2]], 'hecke_orbit_code': 9008161377748564, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 15, 'hecke_orbit': 3, 'label': '1620.3.o.c', 'level': 1620, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 122751000
{'hecke_orbit_code': 9008161377748564, 'n': 1, 'trace_an': 4}
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id: 122751001
{'hecke_orbit_code': 9008161377748564, 'n': 2, 'trace_an': 0}
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id: 122751002
{'hecke_orbit_code': 9008161377748564, 'n': 3, 'trace_an': 0}
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id: 122751003
{'hecke_orbit_code': 9008161377748564, 'n': 4, 'trace_an': 0}
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id: 122751004
{'hecke_orbit_code': 9008161377748564, 'n': 5, 'trace_an': 0}
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id: 122751005
{'hecke_orbit_code': 9008161377748564, 'n': 6, 'trace_an': 0}
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id: 122751006
{'hecke_orbit_code': 9008161377748564, 'n': 7, 'trace_an': 8}
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id: 122751007
{'hecke_orbit_code': 9008161377748564, 'n': 8, 'trace_an': 0}
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id: 122751008
{'hecke_orbit_code': 9008161377748564, 'n': 9, 'trace_an': 0}
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id: 122751009
{'hecke_orbit_code': 9008161377748564, 'n': 10, 'trace_an': 0}
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id: 122751010
{'hecke_orbit_code': 9008161377748564, 'n': 11, 'trace_an': 0}
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id: 122751011
{'hecke_orbit_code': 9008161377748564, 'n': 12, 'trace_an': 0}
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id: 122751012
{'hecke_orbit_code': 9008161377748564, 'n': 13, 'trace_an': 14}
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id: 122751013
{'hecke_orbit_code': 9008161377748564, 'n': 14, 'trace_an': 0}
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id: 122751014
{'hecke_orbit_code': 9008161377748564, 'n': 15, 'trace_an': 0}
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id: 122751015
{'hecke_orbit_code': 9008161377748564, 'n': 16, 'trace_an': 0}
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id: 122751016
{'hecke_orbit_code': 9008161377748564, 'n': 17, 'trace_an': 0}
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id: 122751980
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id: 122751981
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id: 122751982
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id: 122751983
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id: 122751984
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id: 122751985
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id: 122751986
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id: 122751987
{'hecke_orbit_code': 9008161377748564, 'n': 988, 'trace_an': 0}
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id: 122751988
{'hecke_orbit_code': 9008161377748564, 'n': 989, 'trace_an': 0}
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id: 122751989
{'hecke_orbit_code': 9008161377748564, 'n': 990, 'trace_an': 0}
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id: 122751990
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id: 122751991
{'hecke_orbit_code': 9008161377748564, 'n': 992, 'trace_an': 0}
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id: 122751992
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id: 122751993
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id: 122751994
{'hecke_orbit_code': 9008161377748564, 'n': 995, 'trace_an': 0}
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id: 122751995
{'hecke_orbit_code': 9008161377748564, 'n': 996, 'trace_an': 0}
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id: 122751996
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id: 122751997
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id: 122751998
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id: 122751999
{'hecke_orbit_code': 9008161377748564, 'n': 1000, 'trace_an': 0}