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{'Nk2': 22500, 'analytic_conductor': 44.91585113697022, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 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': [5625, 1, [4376, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 8, 'field_disc': 13366265625, 'field_disc_factorization': [[3, 4], [5, 6], [59, 1], [179, 1]], 'field_poly': [16, 8, -48, -20, 41, 10, -12, -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, [16, -8, -48, 20, 41, -10, -12, 1, 1]], [7, [-1055, -320, 1650, 160, -654, 142, 29, -12, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580969977, 'hecke_ring_generator_nbound': 7, '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': '5625.2.a.u', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '1875.2.a.n', 'nf_label': '8.8.13366265625.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}+(1+\\beta _{4}+\\beta _{5})q^{4}+(1+\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5625.2.a', 'trace_display': [-1, 0, 0, 12], 'trace_hash': 1210501835044693946, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.080', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.186', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '145.477', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4556.776', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, 'traces': [8, -1, 0, 9, 0, 0, 12, -3, 0, 0, -12, 0, 14, -16, 0, 15, 1, 0, 16, 0, 0, 18, 4, 0, 0, 34, 0, -21, -2, 0, 13, 18, 0, -37, 0, 0, -8, 24, 0, 0, 12, 0, 20, -47, 0, 33, 15, 0, 30, 0, 0, -1, 4, 0, 0, -60, 0, 2, -14, 0, 10, -4, 0, 41, 0, 0, 19, 33, 0, 0, -21, 0, -19, 9, 0, -1, 11, 0, 10, 0, 0, 24, 27, 0, 0, -42, 0, 53, 9, 0, -12, 63, 0, 14, 0, 0, 24, 24, 0, 0, -37, 0, 60, 34, 0, -42, 5, 0, 56, 0, 0, -23, 12, 0, 0, -28, 0, 14, -21, 0, 52, 54, 0, -39, 0, 0, 44, 42, 0, 0, -15, 0, -10, -43, 0, -76, 74, 0, 9, 0, 0, 27, 15, 0, 0, 27, 0, 24, -58, 0, 21, 78, 0, 37, 0, 0, -4, 40, 0, 0, -23, 0, -23, 29, 0, -15, -2, 0, 6, 0, 0, -12, 67, 0, 0, 1, 0, -34, 40, 0, 43, 21, 0, -25, 0, 0, -19, 24, 0, 0, -12, 0, 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mf_hecke_nf • Show schema
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-17, 8, 30], [-1, 6, -17, -6, -23, -22, -9, -8], [-13, 10, -29, -8, -11, -9, -12, -26], [3, -13, -9, -18, -13, 0, 1, 3], [32, 1, 4, 8, 7, -12, 8, 25], [33, -26, -8, 22, -7, 6, -2, 14], [5, 9, -7, -1, -11, -7, 5, -14], [0, -13, 12, 10, 2, -14, 0, -8], [6, -6, 18, 18, 18, 7, 14, 8], [-3, -23, 22, -2, -7, 8, 5, 18], [0, -9, 10, 6, 16, 12, -10, 12], [-23, 3, 15, -18, 1, 1, 2, 2], [18, -8, -20, -16, -10, -13, 3, -35], [13, 15, -22, -14, 7, -8, 0, 16], [37, 2, 14, 8, 7, 12, 9, 13], [-57, -10, 1, -28, 7, 17, -3, -32], [11, -11, 17, -6, -5, -11, -3, 19], [-7, 2, 2, 6, -5, -14, 6, 18], [17, 6, -5, 16, -10, 6, -15, 24], [-7, -3, -34, -16, -7, 2, 0, -22], [24, 11, 11, 24, 0, 12, 5, 26], [21, -22, 20, 0, -5, 10, 12, 33], [35, -21, 1, -6, -5, 4, 6, 32], [13, -2, -6, 26, 1, -4, 10, 14], [1, 8, -8, 29, -2, 4, -12, 23], [16, 2, 11, -28, -4, -7, 9, -2], [31, -11, 9, 14, 15, -5, -2, 26], [-17, 4, 2, -16, 5, -6, 4, -14], [-38, -18, 27, -28, 0, 1, -3, -6], [20, 3, 20, 6, -14, -10, -9, 16], [-6, 31, -26, -11, -1, -26, -6, -25], [-17, 20, -26, -20, 7, -17, -10, 14], [-15, 3, -6, -16, -5, 9, -2, -12], [8, 5, 18, 6, 6, 5, 13, -7], [10, -26, 32, 26, -2, 16, 14, 42], [13, 22, -26, 6, 5, -6, -10, 32], [-22, -13, -13, 0, 12, 12, -1, 2], [-13, -18, 8, -9, -3, 10, 2, -34], [-21, 4, -2, 6, -3, 0, -2, -50], [18, -17, 21, -12, 12, 9, 9, 12], [-4, 1, 26, -6, -7, 5, -12, 1], [-29, 3, -35, -8, 1, 3, -9, -46], [29, 12, -5, 20, -7, -14, -15, 8], [-26, 20, 0, 0, -14, -21, -22, -8], [21, -4, 3, 8, -13, 11, 8, 18], [-1, -13, 3, -10, 1, -7, -1, 16]], 'char_orbit_index': 1, 'field_poly': [16, 8, -48, -20, 41, 10, -12, -1, 1], 'hecke_orbit_code': 90071992580969977, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 8, 8, 4, 4, 8, 4], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 1, 1, 0, 0], [0, 4, 3, 0, 0, 0, 1, 0], [15, -1, 0, -2, 7, 8, 0, 0], [-3, 22, 24, 0, -1, 0, 10, -2], [90, -14, -2, -20, 46, 59, 0, -2], [-44, 136, 171, 0, -16, -1, 79, -26]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [8, -40, -20, 41, 10, -12, -1, 1], [-56, 8, 94, -21, -34, 10, 3, -1], [20, -12, -62, 21, 30, -10, -3, 1], [-32, 12, 66, -21, -30, 10, 3, -1], [-24, 88, 60, -115, -30, 36, 3, -3], [-28, 30, 61, -52, -30, 21, 3, -2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '5625.2.a.u', 'level': 5625, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[3, -1], [5, -1]], 54, 9], [[[3, 1], [5, 1]], 36, 5], [[[3, 1], [5, -1]], 44, 4], [[[3, -1], [5, 1]], 58, 14]], 'ALdims': [36, 44, 58, 54], 'Nk2': 22500, 'analytic_conductor': 44.91585113697022, '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': [5625, 1, [4376, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 691, 'dim': 192, 'eis_dim': 119, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33560057, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 24], 'label': '5625.2.a', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 810, 'mf_new_dim': 208, 'num_forms': 32, 'plus_dim': 90, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 1500, 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mf_twists_nf • Show schema
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id: 1267692
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '5625.2.a.u', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '1875.2.a.n', 'target_level': 1875, 'twist_class_label': '1875.2.a.n', 'twist_class_level': 1875, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1267693
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '5625.2.a.u', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': True, 'target_label': '1875.2.a.o', 'target_level': 1875, 'twist_class_label': '1875.2.a.n', 'twist_class_level': 1875, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267694
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '5625.2.a.u', 'source_level': 5625, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1875.2.b.g', 'target_level': 1875, 'twist_class_label': '1875.2.a.n', 'twist_class_level': 1875, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1267695
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '5625.2.a.u', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '5625.2.a.u', 'target_level': 5625, 'twist_class_label': '1875.2.a.n', 'twist_class_level': 1875, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1267696
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 21, 'source_is_minimal': False, 'source_label': '5625.2.a.u', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '5625.2.a.bc', 'target_level': 5625, 'twist_class_label': '1875.2.a.n', 'twist_class_level': 1875, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3952850
{'charpoly_factorization': [[[16, -8, -48, 20, 41, -10, -12, 1, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 2}
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id: 3952851
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 90071992580969977, 'p': 3}
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id: 3952852
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 90071992580969977, 'p': 5}
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id: 3952853
{'charpoly_factorization': [[[-1055, -320, 1650, 160, -654, 142, 29, -12, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 7}
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id: 3952854
{'charpoly_factorization': [[[16, -344, 1728, -1160, -1749, -455, 2, 12, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 11}
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id: 3952855
{'charpoly_factorization': [[[8731, -16368, 7722, 860, -1364, 210, 43, -14, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 13}
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id: 3952856
{'charpoly_factorization': [[[8656, 12296, -14028, -2562, 2085, 122, -88, -1, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 17}
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id: 3952857
{'charpoly_factorization': [[[-14975, 40950, -42340, 21620, -5604, 554, 51, -16, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 19}
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id: 3952858
{'charpoly_factorization': [[[28720, 25560, -16260, -9950, 2731, 426, -104, -4, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 23}
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id: 3952859
{'charpoly_factorization': [[[57520, -13720, -29940, 3310, 3731, -257, -126, 2, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 29}
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id: 3952860
{'charpoly_factorization': [[[801025, 487775, -49560, -48425, 2801, 1453, -96, -13, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 31}
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id: 3952861
{'charpoly_factorization': [[[25, 1625, 2535, 825, -474, -313, -31, 8, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 37}
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id: 3952862
{'charpoly_factorization': [[[-48080, 32840, 12580, -6750, -749, 487, -6, -12, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 41}
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id: 3952863
{'charpoly_factorization': [[[-74369, 293275, 56711, -39050, -3729, 1620, 6, -20, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 43}
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id: 3952864
{'charpoly_factorization': [[[-255824, 272640, 56804, -48960, -169, 1635, -71, -15, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 47}
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id: 3952865
{'charpoly_factorization': [[[28720, 28400, -59800, -250, 7311, 306, -159, -4, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 53}
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id: 3952866
{'charpoly_factorization': [[[11920, 109200, -179520, 62230, 6661, -2241, -164, 14, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 59}
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id: 3952867
{'charpoly_factorization': [[[-1093919, 588525, 99929, -84310, 4521, 2060, -186, -10, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 61}
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id: 3952868
{'charpoly_factorization': [[[20204221, 7842924, -576673, -314923, 11790, 4283, -183, -19, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 67}
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id: 3952869
{'charpoly_factorization': [[[67696, -821056, 47512, 72312, -2165, -2102, -18, 21, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 71}
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id: 3952870
{'charpoly_factorization': [[[-379655, -184850, 76175, 26515, -3864, -1251, 21, 19, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 73}
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id: 3952871
{'charpoly_factorization': [[[6951025, 1678650, -820200, -122000, 28465, 2520, -320, -10, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 79}
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id: 3952872
{'charpoly_factorization': [[[-113744, -140056, 64588, 41610, -19349, 1840, 132, -27, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 83}
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id: 3952873
{'charpoly_factorization': [[[-12105680, 6006160, -202880, -250470, 22681, 2786, -294, -9, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 89}
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id: 3952874
{'charpoly_factorization': [[[-401939, 10004, 121672, -10788, -9590, 1468, 87, -24, 1], 1]], 'hecke_orbit_code': 90071992580969977, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '5625.2.a.u', 'level': 5625, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 249616000
{'hecke_orbit_code': 90071992580969977, 'n': 1, 'trace_an': 8}
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id: 249616001
{'hecke_orbit_code': 90071992580969977, 'n': 2, 'trace_an': -1}
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id: 249616002
{'hecke_orbit_code': 90071992580969977, 'n': 3, 'trace_an': 0}
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id: 249616003
{'hecke_orbit_code': 90071992580969977, 'n': 4, 'trace_an': 9}
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id: 249616004
{'hecke_orbit_code': 90071992580969977, 'n': 5, 'trace_an': 0}
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id: 249616005
{'hecke_orbit_code': 90071992580969977, 'n': 6, 'trace_an': 0}
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id: 249616006
{'hecke_orbit_code': 90071992580969977, 'n': 7, 'trace_an': 12}
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id: 249616007
{'hecke_orbit_code': 90071992580969977, 'n': 8, 'trace_an': -3}
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id: 249616008
{'hecke_orbit_code': 90071992580969977, 'n': 9, 'trace_an': 0}
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id: 249616009
{'hecke_orbit_code': 90071992580969977, 'n': 10, 'trace_an': 0}
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