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{'Nk2': 36100, 'analytic_conductor': 72.06498782420555, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [19, -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': [9025, 1, [5777, 3251], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 7537, 'field_disc_factorization': [[7537, 1]], 'field_poly': [3, 4, -5, -1, 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, [6, 1, -6, -1, 1]], [3, [2, 5, -2, -3, 1]], [7, [-8, 15, -1, -4, 1]], [11, [3, -19, -25, 2, 1]], [29, [-141, -194, -63, -1, 1]]], 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755753793, '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': False, 'label': '9025.2.a.bp', 'level': 9025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'minimal_twist': '95.2.e.c', 'nf_label': '4.4.7537.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}+(1-\\beta _{1})q^{3}+(1-\\beta _{2}+\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9025.2.a', 'trace_display': [1, 3, 0, 4], 'trace_hash': 189264371238882445, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.137', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.783', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.394', 'prec': 17}, {'__RealLiteral__': 0, 'data': '39.796', 'prec': 20}, {'__RealLiteral__': 0, 'data': '18.396', 'prec': 20}, {'__RealLiteral__': 0, 'data': '643.649', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, 'traces': [4, 1, 3, 5, 0, 2, 4, 12, 1, 0, -2, 6, 7, 1, 0, 7, 1, -10, 0, 0, 4, 2, -2, 23, 0, 3, 12, 19, 1, 0, 0, 30, 19, -15, 0, -7, -2, 0, 15, 0, 8, 15, -1, -12, 0, -12, 12, 23, -10, 0, -22, -3, -5, -34, 0, 41, 0, 27, 5, 0, 0, -37, 3, 56, 0, -31, 4, -16, 9, 0, -20, 17, 20, 25, 0, 0, -14, -18, -17, 0, 12, -21, -1, 20, 0, -8, 16, -7, -11, 0, -6, 1, 8, 31, 0, 21, 1, 9, 38, 0, -12, 6, 10, 6, 0, -37, 20, -35, -34, 0, 2, 36, -13, 0, 0, 57, 20, -5, -1, 0, 10, 51, 28, -22, 0, 2, 36, 33, 42, 0, -4, -10, 0, -22, 0, -39, 9, -8, -25, 0, 30, 32, 29, -15, 0, 14, -16, 37, -19, 0, -28, 0, -30, 13, 0, 0, 2, 20, 12, 0, 13, -20, -5, 31, 0, 15, -6, 40, -17, 0, 0, 9, -2, 41, 0, 3, -50, -32, 11, 0, 35, 1, 3, 23, 0, -30, -44, 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0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, -1, 0], [1, -1, 0, 0], [1, 0, -1, 1], [0, 0, 0, 0], [0, 1, -1, 1], [1, 0, 0, 1], [3, -1, -1, 2], [1, -2, 1, 0], [0, 0, 0, 0], [0, -2, 0, -1], [1, 0, -2, 1], [2, -1, 0, -1], [0, -1, -2, 1], [0, 0, 0, 0], [1, -1, -4, 2], [0, 2, 1, 0], [-3, 2, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [1, -1, -1, 0], [0, 3, 1, 1], [0, -1, 1, 1], [6, -3, -2, 1], [0, 0, 0, 0], [0, 2, -1, 0], [4, -1, 3, -1], [4, 0, -3, 2], [0, -1, -2, 2], [0, 0, 0, 0], [1, -1, 3, 1], [6, 1, -5, 3], [6, -2, 3, 0], [-3, -2, 1, -3], [0, 0, 0, 0], [-2, 1, 0, -1], [-1, 0, -2, 1], [0, 0, 0, 0], [5, -3, 2, 0], [0, 0, 0, 0], [3, -2, 2, 3], [3, 1, -2, 2], [1, -4, 1, 1], [-3, 0, 0, -1], [0, 0, 0, 0], [-3, 0, 0, 1], [3, -2, -2, -3], [4, 2, -5, 4], [-3, 1, -1, 1], [0, 0, 0, 0], [-6, 1, -1, -1], [-1, 0, -1, 1], [0, -2, 3, -2], [-9, 2, 0, -3], [0, 0, 0, 0], [9, 0, -5, 3], [0, 0, 0, 0], [6, -1, -4, 5], [0, 5, 0, 0], [0, 0, 0, 0], [-1, 0, -4, -2], [-9, 0, 1, -1], [1, -1, 0, -2], [13, -2, -6, 3], [0, 0, 0, 0], [-9, 2, 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-11, -2]], 'char_orbit_index': 1, 'field_poly': [3, 4, -5, -1, 1], 'hecke_orbit_code': 184647584755753793, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [3, 0, 1, 0], [0, 4, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, 0, 1, 0], [0, -4, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '9025.2.a.bp', 'level': 9025, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[5, -1], [19, -1]], 129, 17], [[[5, -1], [19, 1]], 139, 12], [[[5, 1], [19, 1]], 121, 18], [[[5, 1], [19, -1]], 126, 27]], 'ALdims': [121, 126, 139, 129], 'Nk2': 36100, 'analytic_conductor': 72.06498782420555, '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': [9025, 1, [5777, 3251], [1, 1]], 'conrey_index': 1, 'cusp_dim': 891, 'dim': 515, 'eis_dim': 119, 'eis_new_dim': 51, 'hecke_cutter_primes': [2, 3, 7, 11, 29], 'hecke_orbit_code': 33563457, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9, 9, 9, 9, 10, 10, 10, 10, 16, 16, 16, 20, 20, 21, 21, 21, 21, 24, 24, 40], 'label': '9025.2.a', 'level': 9025, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 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mf_twists_nf • Show schema
Hide schema
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id: 1415012
{'conductor': 95, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '9025.2.a.bp', 'source_level': 9025, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '95.2.e.c', 'target_level': 95, 'twist_class_label': '95.2.e.c', 'twist_class_level': 95, 'twisting_char_label': '95.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1415013
{'conductor': 19, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '9025.2.a.bp', 'source_level': 9025, 'target_char_orbit': 5, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '475.2.e.e', 'target_level': 475, 'twist_class_label': '95.2.e.c', 'twist_class_level': 95, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1415014
{'conductor': 95, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '9025.2.a.bp', 'source_level': 9025, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '475.2.j.c', 'target_level': 475, 'twist_class_label': '95.2.e.c', 'twist_class_level': 95, 'twisting_char_label': '95.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1415015
{'conductor': 285, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '9025.2.a.bp', 'source_level': 9025, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '855.2.k.h', 'target_level': 855, 'twist_class_label': '95.2.e.c', 'twist_class_level': 95, 'twisting_char_label': '285.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1415016
{'conductor': 380, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '9025.2.a.bp', 'source_level': 9025, 'target_char_orbit': 17, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1520.2.q.o', 'target_level': 1520, 'twist_class_label': '95.2.e.c', 'twist_class_level': 95, 'twisting_char_label': '380.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1415017
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '9025.2.a.bp', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1805.2.a.i', 'target_level': 1805, 'twist_class_label': '95.2.e.c', 'twist_class_level': 95, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1415018
{'conductor': 95, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '9025.2.a.bp', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1805.2.a.o', 'target_level': 1805, 'twist_class_label': '95.2.e.c', 'twist_class_level': 95, 'twisting_char_label': '95.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1415019
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '9025.2.a.bp', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '9025.2.a.bg', 'target_level': 9025, 'twist_class_label': '95.2.e.c', 'twist_class_level': 95, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1415020
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 42, 'source_is_minimal': False, 'source_label': '9025.2.a.bp', 'source_level': 9025, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '9025.2.a.bp', 'target_level': 9025, 'twist_class_label': '95.2.e.c', 'twist_class_level': 95, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4914425
{'charpoly_factorization': [[[6, 1, -6, -1, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 2}
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id: 4914426
{'charpoly_factorization': [[[2, 5, -2, -3, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 3}
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id: 4914427
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 184647584755753793, 'p': 5}
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id: 4914428
{'charpoly_factorization': [[[-8, 15, -1, -4, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 7}
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id: 4914429
{'charpoly_factorization': [[[3, -19, -25, 2, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 11}
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id: 4914430
{'charpoly_factorization': [[[-16, 23, 7, -7, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 13}
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id: 4914431
{'charpoly_factorization': [[[108, -17, -30, -1, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 17}
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id: 4914432
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 184647584755753793, 'p': 19}
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id: 4914433
{'charpoly_factorization': [[[6, 7, -17, 2, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 23}
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id: 4914434
{'charpoly_factorization': [[[-141, -194, -63, -1, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 29}
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id: 4914435
{'charpoly_factorization': [[[1063, 5, -67, 0, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 31}
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id: 4914436
{'charpoly_factorization': [[[-118, -123, -31, 2, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 37}
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id: 4914437
{'charpoly_factorization': [[[-2238, 971, -87, -8, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 41}
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id: 4914438
{'charpoly_factorization': [[[794, -197, -98, 1, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 43}
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id: 4914439
{'charpoly_factorization': [[[-2316, 929, -55, -12, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 47}
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id: 4914440
{'charpoly_factorization': [[[-54, -227, -86, 5, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 53}
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id: 4914441
{'charpoly_factorization': [[[1875, 500, -125, -5, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 59}
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id: 4914442
{'charpoly_factorization': [[[3049, 88, -130, 0, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 61}
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id: 4914443
{'charpoly_factorization': [[[64, -24, -36, -4, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 67}
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id: 4914444
{'charpoly_factorization': [[[-243, -95, 91, 20, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 71}
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id: 4914445
{'charpoly_factorization': [[[-1726, 219, 95, -20, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 73}
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id: 4914446
{'charpoly_factorization': [[[-184, -20, 72, 17, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 79}
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id: 4914447
{'charpoly_factorization': [[[366, -55, -62, 1, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 83}
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id: 4914448
{'charpoly_factorization': [[[-3816, -1388, -90, 11, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 89}
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id: 4914449
{'charpoly_factorization': [[[7442, -805, -266, -1, 1], 1]], 'hecke_orbit_code': 184647584755753793, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 42, 'label': '9025.2.a.bp', 'level': 9025, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 274302000
{'hecke_orbit_code': 184647584755753793, 'n': 1, 'trace_an': 4}
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id: 274302001
{'hecke_orbit_code': 184647584755753793, 'n': 2, 'trace_an': 1}
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id: 274302002
{'hecke_orbit_code': 184647584755753793, 'n': 3, 'trace_an': 3}
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id: 274302003
{'hecke_orbit_code': 184647584755753793, 'n': 4, 'trace_an': 5}
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id: 274302004
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