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mf_newforms • Show schema
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{'Nk2': 3100, 'analytic_conductor': 6.18840615664923, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [31, 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': [775, 1, [652, 251], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 5, 'field_disc': 144209, 'field_disc_factorization': [[13, 1], [11093, 1]], 'field_poly': [-1, 6, -1, -6, 0, 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': [[2, [3, -8, -13, 0, 4, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425148679, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '775.2.a.h', 'level': 775, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 31], 'level_radical': 155, 'minimal_twist': '775.2.a.h', 'nf_label': '5.5.144209.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{3})q^{2}+(-1+\\beta _{2})q^{3}+(1+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '775.2.a', 'trace_display': [-4, -3, 0, -2], 'trace_hash': 1964351072448353884, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.708', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.983', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1082.798', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [5, -4, -3, 6, 0, -1, -2, -9, 6, 0, -2, -5, -4, 2, 0, 4, -19, -5, 8, 0, -15, 10, -12, 26, 0, -16, -6, -6, 6, 0, -5, -7, -3, 31, 0, -13, -16, -14, -13, 0, -2, 22, -1, -4, 0, -11, -8, -31, -9, 0, 5, 26, -3, 10, 0, -9, -14, -5, -4, 0, -5, 4, 26, -5, 0, -25, -13, -30, 10, 0, 6, -2, -19, 4, 0, -5, -23, 38, -6, 0, -7, 27, -18, -15, 0, -7, 5, 1, -31, 0, 8, 16, 3, -14, 0, 10, 1, -10, -33, 0, -2, -12, 33, -39, 0, 0, -19, 19, -10, 0, 49, 39, -47, -3, 0, 40, -10, 7, -1, 0, 23, -14, 24, -6, 0, -19, 6, 24, 0, 0, -9, 74, 10, 21, 0, 35, -68, 53, -21, 0, -22, 33, 17, 45, 0, 70, 8, -23, -27, 0, 34, -9, -40, 57, 0, -23, 41, 48, -20, 0, 25, 35, 46, -72, 0, 45, -18, 35, 1, 0, 45, 17, 25, 39, 0, -38, -13, 13, -4, 0, -60, 6, 19, -6, 0, 1, 44, 66, -5, 0, 30, 19, -28, -21, 0, 12, -37, 64, 3, 0, -4, 71, 5, 54, 0, -58, -4, 57, 7, 0, 24, -45, 52, 5, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0], [-1, 0, 0, 1, 0], [-1, 0, 1, 0, 0], [1, -1, 0, -1, -1], [0, 0, 0, 0, 0], [0, 0, -1, -1, -1], [0, 1, -1, 0, 0], [-2, 1, 1, 1, 1], [2, 2, -1, 0, 1], [0, 0, 0, 0, 0], [0, -2, 0, 0, 1], [0, 0, 0, 1, 3], [0, -1, -1, -2, 0], [1, -1, 1, -1, 2], [0, 0, 0, 0, 0], [2, 1, -2, -2, 0], [-4, -1, 0, 1, 0], [0, -1, 0, -1, 2], [3, 1, -1, -1, 2], [0, 0, 0, 0, 0], [-4, -1, 1, 1, -1], [1, 3, -1, 1, -3], [-3, 1, 0, -1, -2], [5, 2, -1, -1, -2], [0, 0, 0, 0, 0], [-3, 3, 1, 1, 2], [-3, -1, 1, 1, -3], [-2, 2, -1, 0, -3], [-1, 0, 1, 1, -4], [0, 0, 0, 0, 0], [-1, 0, 0, 0, 0], [0, -1, 0, -1, 3], [0, -3, -2, -3, -2], [6, 0, 0, -3, -2], [0, 0, 0, 0, 0], [-4, 0, 0, -1, -4], [-3, -2, 2, -1, 2], [-2, 2, -1, 0, 1], [-2, -3, -1, 1, 1], [0, 0, 0, 0, 0], [-1, 4, 1, 3, 1], [4, -1, 0, -2, -2], [-1, 1, 0, 0, -2], [-1, -3, 4, 1, 4], [0, 0, 0, 0, 0], [-1, -2, 2, -2, 4], [-2, -3, -1, -2, -3], [-8, -3, 3, 3, 0], [-1, -2, 0, -2, 1], [0, 0, 0, 0, 0], [3, -1, -5, -2, -1], [6, 0, -1, -4, -1], [2, 2, -2, -1, 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7, 4, 3, 0], [-1, 0, 12, 5, -4], [-3, 3, -12, -3, 2], [-19, 4, 9, 4, -17], [4, 12, -13, 1, 1], [-17, 5, 9, 12, -14], [-19, 5, -10, 2, 12], [3, 0, 7, -15, -7], [-19, -8, 12, -7, -3], [-14, -7, -7, -1, -7], [6, -11, 5, 1, 4], [16, 3, 4, -7, 2], [17, -10, -7, -9, 3]], 'char_orbit_index': 1, 'field_poly': [-1, 6, -1, -6, 0, 1], 'hecke_orbit_code': 31525197425148679, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [2, 0, 1, 0, 0], [0, 4, 1, 1, 0], [8, 2, 5, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0], [0, 1, 0, 0, 0], [-2, 0, 1, 0, 0], [2, -4, -1, 1, 0], [2, -2, -5, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 5, 'label': '775.2.a.h', 'level': 775, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [31, -1]], 9, 2], [[[5, -1], [31, 1]], 15, 2], [[[5, 1], [31, 1]], 10, 3], [[[5, 1], [31, -1]], 13, 5]], 'ALdims': [10, 13, 15, 9], 'Nk2': 3100, 'analytic_conductor': 6.18840615664923, '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': [775, 1, [652, 251], [1, 1]], 'conrey_index': 1, 'cusp_dim': 75, 'dim': 47, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33555207, 'hecke_orbit_dims': [1, 1, 1, 2, 4, 4, 4, 5, 5, 5, 5, 10], 'label': '775.2.a', 'level': 775, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 31], 'level_radical': 155, 'mf_dim': 86, 'mf_new_dim': 47, 'num_forms': 12, 'plus_dim': 19, 'prim_orbit_index': 1, 'relative_dim': 47, 'sturm_bound': 160, 'trace_bound': 3, 'trace_display': [2, 2, 0, 0], 'traces': [47, 2, 2, 48, 0, -2, 0, 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-132, 154, 0, 96, -368, -40, -340, 0, 230, 0, -4, -70, 0, 42, -60, 2, -324, 0, 312, 0, 47, -114, 0, -326, 33, 40, -130, 0, 58, 60, 154, -353, 0, -24, 44, -80, 58, 0, 164, -140, -5, 50, 0, -144, -196, -98, -70, 0, -57, 52, -112, 70, 0, -172, 88, 24, 56, 0, -184, -48, -116, -112, 0, -86, 116, -8, 201, 0, -130, -86, 220, -52, 0, -250, -125, -4, -236, 0, 490, 40, 90, 68, 0, -36, -144, -84, 73, 0, -312, 34, -98, -116, 0, 28, -276, -240, -163, 0, -338, 234, 186, 80, 0, 4, 62, -92, 580, 0, 8, 116, -174, -118, 0, -132, -202, 36, -444, 0, -172, 98, 104, -74, 0, 100, 308, 198, -106, 0, 137, -46, 44, -166, 0, -292, -212, -2, 192, 0, 74, 20, -133, 36, 0, 21, -139, -118, -5, 0, -412, -64, -58, -144, 0, -64, -4, -138, -106, 0, -154, -150, 72, -428, 0, 166, -120, 206, -408, 0, -66, -106, -39, -116, 0, -136, 82, 180, -210, 0, 252, 16, -165, -40, 0, 62, 293, 108, -248, 0, -319, -24, 108, -108, 0, 284, -348, -44, 256, 0, 93, -220, 4, -40, 0, 28, 110, 28, 462, 0, 132, 184, 148, 220, 0, -158, -74, -4, 134, 0, -36, 252, 4, 4, 0, 54, -80, -10, 248, 0, -234, -52, 212, 122, 0, -360, 123, -142, -129, 0, -20, -110, -136, -240, 0, 198, 198, 118, -33, 0, 136, -32, -28, -36, 0, 118, 322, -92, -50, 0, -34, 204, 129, 174, 0, 47, 280, 80, -4, 0, 220, 4, 255, 232, 0, -124, 268, -64, -106, 0, -264, 172, 6, 120, 0, 20, -180, -132, 210, 0, 284, -240, -40, -68, 0, 30, 42, -4, -15, 0, 896, -196, 318, -128, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 493264
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '775.2.a.h', 'source_level': 775, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '775.2.a.h', 'target_level': 775, 'twist_class_label': '775.2.a.h', 'twist_class_level': 775, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 493265
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '775.2.a.h', 'source_level': 775, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '775.2.a.k', 'target_level': 775, 'twist_class_label': '775.2.a.h', 'twist_class_level': 775, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 493266
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '775.2.a.h', 'source_level': 775, 'target_char_orbit': 2, 'target_dim': 10, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '775.2.b.g', 'target_level': 775, 'twist_class_label': '775.2.a.h', 'twist_class_level': 775, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 493267
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '775.2.a.h', 'source_level': 775, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '6975.2.a.bp', 'target_level': 6975, 'twist_class_label': '775.2.a.h', 'twist_class_level': 775, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 493268
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 5, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '775.2.a.h', 'source_level': 775, 'target_char_orbit': 1, 'target_dim': 5, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '6975.2.a.by', 'target_level': 6975, 'twist_class_label': '775.2.a.h', 'twist_class_level': 775, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1313225
{'charpoly_factorization': [[[3, -8, -13, 0, 4, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 2}
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id: 1313226
{'charpoly_factorization': [[[11, 1, -19, -6, 3, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 3}
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id: 1313227
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 31525197425148679, 'p': 5}
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id: 1313228
{'charpoly_factorization': [[[27, 25, -13, -11, 2, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 7}
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id: 1313229
{'charpoly_factorization': [[[-233, 295, -41, -37, 2, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 11}
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id: 1313230
{'charpoly_factorization': [[[153, 173, -67, -25, 4, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 13}
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id: 1313231
{'charpoly_factorization': [[[-59, 346, 365, 129, 19, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 17}
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id: 1313232
{'charpoly_factorization': [[[59, -144, 94, -3, -8, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 19}
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id: 1313233
{'charpoly_factorization': [[[503, -924, -366, 3, 12, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 23}
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id: 1313234
{'charpoly_factorization': [[[-8711, 1644, 498, -87, -6, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 29}
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id: 1313235
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 31525197425148679, 'p': 31}
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id: 1313236
{'charpoly_factorization': [[[-4369, -4056, -911, 0, 16, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 37}
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id: 1313237
{'charpoly_factorization': [[[-507, 2093, -299, -127, 2, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 41}
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id: 1313238
{'charpoly_factorization': [[[17, 265, -43, -40, 1, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 43}
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id: 1313239
{'charpoly_factorization': [[[-291, 982, -578, -91, 8, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 47}
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id: 1313240
{'charpoly_factorization': [[[389, -443, -529, -102, 3, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 53}
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id: 1313241
{'charpoly_factorization': [[[15079, 4762, -523, -142, 4, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 59}
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id: 1313242
{'charpoly_factorization': [[[-3, 16, -3, -29, 5, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 61}
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id: 1313243
{'charpoly_factorization': [[[124659, 8019, -3159, -234, 13, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 67}
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id: 1313244
{'charpoly_factorization': [[[57279, 22130, 466, -279, -6, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 71}
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id: 1313245
{'charpoly_factorization': [[[3291, -5153, -1554, -11, 19, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 73}
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id: 1313246
{'charpoly_factorization': [[[1873, 990, -135, -84, 6, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 79}
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id: 1313247
{'charpoly_factorization': [[[-1983, 2789, -805, -33, 18, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 83}
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id: 1313248
{'charpoly_factorization': [[[729, 3835, 1884, 361, 31, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 89}
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id: 1313249
{'charpoly_factorization': [[[-25961, 10613, 476, -271, -1, 1], 1]], 'hecke_orbit_code': 31525197425148679, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '775.2.a.h', 'level': 775, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 185365000
{'hecke_orbit_code': 31525197425148679, 'n': 1, 'trace_an': 5}
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id: 185365001
{'hecke_orbit_code': 31525197425148679, 'n': 2, 'trace_an': -4}
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id: 185365002
{'hecke_orbit_code': 31525197425148679, 'n': 3, 'trace_an': -3}
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id: 185365003
{'hecke_orbit_code': 31525197425148679, 'n': 4, 'trace_an': 6}
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id: 185365004
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