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mf_newforms • Show schema
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{'Nk2': 27648, 'analytic_conductor': 101.95530048991978, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1728, 2, [703, 325, 1217], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 865, 'conrey_indexes': [865], 'dim': 8, 'field_disc': 592240896, 'field_disc_factorization': [[2, 8], [3, 4], [13, 4]], 'field_poly': [81, 0, -63, 0, 40, 0, -7, 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': [[5, [156, 0, 1]], [7, [-147, 0, 1]], [17, [-4212, 0, 1]], [23, [-3900, 0, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22518204362393280, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 36864, 'hecke_ring_index_factorization': [[2, 12], [3, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 24, 8, -1, 2, 0], [1, 1, 8, 2, 1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0], [1, 1, 24, 6, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1728.4.d.f', 'level': 1728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '1728.4.d.f', 'nf_label': '8.0.592240896.1', 'prim_orbit_index': 2, 'qexp_display': 'q-\\beta _{6}q^{5}+7\\beta _{1}q^{7}-\\beta _{7}q^{11}-9\\beta _{2}q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1728.4.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 295018375570935949, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.069', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -9, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 49, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-31, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 14, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -59, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 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0, 0], [0, 6, 0, -6, 0, 3, 0, 1], [42, 0, 42, 0, -1, 0, 3, 0], [0, 0, 0, -15, 0, 0, 0, 1], [-186, 0, 186, 0, 7, 0, 21, 0], [0, -366, 0, -366, 0, -57, 0, 19], [-231, 0, 0, 0, 10, 0, 0, 0], [0, -2022, 0, 2022, 0, -291, 0, -97]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, -207, 0, 76, 0, -16, 0, 1], [-261, 0, 280, 0, -40, 0, 7, 0], [0, -81, 0, 190, 0, -40, 0, 7], [231, 0, 0, 0, 0, 0, 3, 0], [0, 1719, 0, -610, 0, 100, 0, -13], [126, 0, -124, 0, 28, 0, -4, 0], [0, -81, 0, 244, 0, -40, 0, 7]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1728.4.d.f', 'level': 1728, 'maxp': 1999, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 27648, 'analytic_conductor': 101.95530048991978, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1728, 2, [703, 325, 1217], [2, 1, 2]], 'conrey_index': 865, 'cusp_dim': 828, 'dim': 96, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17, 23], 'hecke_orbit_code': 206225540800, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 8, 8, 16, 16, 16], 'label': '1728.4.d', 'level': 1728, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 900, 'mf_new_dim': 96, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 1152, 'trace_bound': 49, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5424, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 800078
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.4.d.f', 'source_level': 1728, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.4.d.f', 'target_level': 1728, 'twist_class_label': '1728.4.d.f', 'twist_class_level': 1728, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 800079
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.4.d.f', 'source_level': 1728, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.4.d.f', 'target_level': 1728, 'twist_class_label': '1728.4.d.f', 'twist_class_level': 1728, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 800080
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.4.d.f', 'source_level': 1728, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.4.d.f', 'target_level': 1728, 'twist_class_label': '1728.4.d.f', 'twist_class_level': 1728, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 800081
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.4.d.f', 'source_level': 1728, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.4.d.f', 'target_level': 1728, 'twist_class_label': '1728.4.d.f', 'twist_class_level': 1728, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 800082
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.4.d.f', 'source_level': 1728, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.4.d.f', 'target_level': 1728, 'twist_class_label': '1728.4.d.f', 'twist_class_level': 1728, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 800083
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.4.d.f', 'source_level': 1728, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.4.d.f', 'target_level': 1728, 'twist_class_label': '1728.4.d.f', 'twist_class_level': 1728, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 800084
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.4.d.f', 'source_level': 1728, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.4.d.f', 'target_level': 1728, 'twist_class_label': '1728.4.d.f', 'twist_class_level': 1728, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 800085
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '1728.4.d.f', 'source_level': 1728, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1728.4.d.f', 'target_level': 1728, 'twist_class_label': '1728.4.d.f', 'twist_class_level': 1728, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2165000
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22518204362393280, 'p': 2}
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id: 2165001
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 22518204362393280, 'p': 3}
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id: 2165002
{'charpoly_factorization': [[[156, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 5}
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id: 2165003
{'charpoly_factorization': [[[-147, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 7}
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id: 2165004
{'charpoly_factorization': [[[468, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 11}
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id: 2165005
{'charpoly_factorization': [[[243, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 13}
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id: 2165006
{'charpoly_factorization': [[[-4212, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 17}
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id: 2165007
{'charpoly_factorization': [[[2401, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 19}
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id: 2165008
{'charpoly_factorization': [[[-3900, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 23}
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id: 2165009
{'charpoly_factorization': [[[624, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 29}
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id: 2165010
{'charpoly_factorization': [[[-588, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 31}
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id: 2165011
{'charpoly_factorization': [[[10443, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 37}
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id: 2165012
{'charpoly_factorization': [[[-119808, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 41}
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id: 2165013
{'charpoly_factorization': [[[67600, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 43}
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id: 2165014
{'charpoly_factorization': [[[-131196, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 47}
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id: 2165015
{'charpoly_factorization': [[[330096, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 53}
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id: 2165016
{'charpoly_factorization': [[[105300, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 59}
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id: 2165017
{'charpoly_factorization': [[[30603, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 61}
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id: 2165018
{'charpoly_factorization': [[[58081, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 67}
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id: 2165019
{'charpoly_factorization': [[[-62400, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 71}
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id: 2165020
{'charpoly_factorization': [[[-353, 1], 8]], 'hecke_orbit_code': 22518204362393280, 'p': 73}
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id: 2165021
{'charpoly_factorization': [[[-27, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 79}
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id: 2165022
{'charpoly_factorization': [[[1078272, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 83}
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id: 2165023
{'charpoly_factorization': [[[-640692, 0, 1], 4]], 'hecke_orbit_code': 22518204362393280, 'p': 89}
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id: 2165024
{'charpoly_factorization': [[[-1111, 1], 8]], 'hecke_orbit_code': 22518204362393280, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 6, 'label': '1728.4.d.f', 'level': 1728, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 171671000
{'hecke_orbit_code': 22518204362393280, 'n': 1, 'trace_an': 8}
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id: 171671001
{'hecke_orbit_code': 22518204362393280, 'n': 2, 'trace_an': 0}
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id: 171671002
{'hecke_orbit_code': 22518204362393280, 'n': 3, 'trace_an': 0}
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id: 171671003
{'hecke_orbit_code': 22518204362393280, 'n': 4, 'trace_an': 0}
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id: 171671004
{'hecke_orbit_code': 22518204362393280, 'n': 5, 'trace_an': 0}
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id: 171671005
{'hecke_orbit_code': 22518204362393280, 'n': 6, 'trace_an': 0}
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id: 171671006
{'hecke_orbit_code': 22518204362393280, 'n': 7, 'trace_an': 0}
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id: 171671007
{'hecke_orbit_code': 22518204362393280, 'n': 8, 'trace_an': 0}
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id: 171671008
{'hecke_orbit_code': 22518204362393280, 'n': 9, 'trace_an': 0}
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id: 171671009
{'hecke_orbit_code': 22518204362393280, 'n': 10, 'trace_an': 0}
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id: 171671010
{'hecke_orbit_code': 22518204362393280, 'n': 11, 'trace_an': 0}
-
id: 171671011
{'hecke_orbit_code': 22518204362393280, 'n': 12, 'trace_an': 0}
-
id: 171671012
{'hecke_orbit_code': 22518204362393280, 'n': 13, 'trace_an': 0}
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id: 171671013
{'hecke_orbit_code': 22518204362393280, 'n': 14, 'trace_an': 0}
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id: 171671014
{'hecke_orbit_code': 22518204362393280, 'n': 15, 'trace_an': 0}
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id: 171671015
{'hecke_orbit_code': 22518204362393280, 'n': 16, 'trace_an': 0}
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id: 171671016
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