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{'Nk2': 10800, 'analytic_conductor': 39.82628925387491, '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': [675, 1, [326, 352], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 1772, 'field_disc_factorization': [[2, 2], [443, 1]], 'field_poly': [8, -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, [30, -8, -5, 1]], [7, [8298, -795, -4, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793359778467, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '675.4.a.s', 'level': 675, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '135.4.a.e', 'nf_label': '3.3.1772.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(2-\\beta _{1})q^{2}+(7-3\\beta _{1}+\\beta _{2})q^{4}+(2+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '675.4.a', 'trace_display': [5, 0, 0, 4], 'trace_hash': 1598666629232344414, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.025', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.876', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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-40854, 16990], [70912, -53332, 7564], [-17063, 30036, -4992], [-109194, 11232, 13300], [-147200, 16575, -2275], [-47453, -22421, -18815], [-48874, 41836, -12], [38298, 47346, -20010], [-31618, 60554, 450], [139342, -3523, -5109], [29218, 55851, -13467], [-38982, -264, -28960], [46246, 67582, -9610], [49652, 41317, -21529], [-66114, -25848, -1860], [31213, 3001, 3855], [-25723, 13409, 7275], [-34858, -8984, 24248], [195885, -6405, 16005], [-169353, -2571, -12745], [16250, -43052, -10556], [-96838, -67246, 18030], [-109352, 42406, 10770], [-39172, -37594, 20510], [-108694, 41838, 4914], [-47938, 37004, -27200]], 'char_orbit_index': 1, 'field_poly': [8, -12, -1, 1], 'hecke_orbit_code': 81064793359778467, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 2, 2], 'hecke_ring_inverse_denominators': [1, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0], [1, 1, 1], [23, 5, -1]], 'hecke_ring_numerators': [[1, 0, 0], [-8, 1, 1], [6, 5, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '675.4.a.s', 'level': 675, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
Hide schema
{'ALdims': [20, 19, 16, 21], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [9, 9, 9, 9], 'ALdims_old': [46, 41, 44, 45], 'Nk2': 10800, 'analytic_conductor': 39.82628925387491, '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': [675, 1, [326, 352], [1, 1]], 'conrey_index': 1, 'cusp_dim': 252, 'dim': 76, 'eis_dim': 36, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 67109539, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '675.4.a', 'level': 675, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 288, 'mf_new_dim': 76, 'num_forms': 29, 'plus_dim': 41, 'prim_orbit_index': 1, 'relative_dim': 76, 'sturm_bound': 360, 'trace_bound': 7, 'trace_display': [0, 0, 0, -40], 'traces': [76, 0, 0, 298, 0, 0, -40, 0, 0, 0, 0, 0, 2, 0, 0, 1030, 0, 0, 98, 0, 0, 294, 0, 0, 0, 0, 0, -406, 0, 0, -46, 0, 0, 60, 0, 0, 1106, 0, 0, 0, 0, 0, 980, 0, 0, 1956, 0, 0, 4500, 0, 0, 152, 0, 0, 0, 0, 0, 1260, 0, 0, -2602, 0, 0, 610, 0, 0, -2722, 0, 0, 0, 0, 0, -2632, 0, 0, 3476, 0, 0, 2114, 0, 0, 5040, 0, 0, 0, 0, 0, 9294, 0, 0, 5002, 0, 0, 8712, 0, 0, -2644, 0, 0, 0, 0, 0, -1018, 0, 0, 2622, 0, 0, -8632, 0, 0, -6166, 0, 0, 0, 0, 0, -6360, 0, 0, 6178, 0, 0, 2138, 0, 0, 9926, 0, 0, 0, 0, 0, -6230, 0, 0, 3648, 0, 0, 5414, 0, 0, -9084, 0, 0, 0, 0, 0, 15956, 0, 0, 5636, 0, 0, -11034, 0, 0, -12844, 0, 0, 0, 0, 0, 3206, 0, 0, -5010, 0, 0, 13326, 0, 0, 29396, 0, 0, 0, 0, 0, -936, 0, 0, -5710, 0, 0, 23928, 0, 0, 8640, 0, 0, 0, 0, 0, 11828, 0, 0, 9876, 0, 0, -21580, 0, 0, -41910, 0, 0, 0, 0, 0, -4216, 0, 0, -4414, 0, 0, -11970, 0, 0, 32530, 0, 0, 0, 0, 0, -5944, 0, 0, -49356, 0, 0, -10792, 0, 0, -11472, 0, 0, 0, 0, 0, -9240, 0, 0, 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438588, 0, 0, -326486, 0, 0, 3636, 0, 0, 0, 0, 0, -138480, 0, 0, 33114, 0, 0, 72632, 0, 0, 104900, 0, 0, 0, 0, 0, -165014, 0, 0, -261616, 0, 0, 129780, 0, 0, -207222, 0, 0, 0, 0, 0, 701152, 0, 0, -91684, 0, 0, 393912, 0, 0, 178964, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 445806
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '675.4.a.s', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '135.4.a.e', 'target_level': 135, 'twist_class_label': '135.4.a.e', 'twist_class_level': 135, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 445807
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '675.4.a.s', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '135.4.a.h', 'target_level': 135, 'twist_class_label': '135.4.a.e', 'twist_class_level': 135, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 445808
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '675.4.a.s', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '405.4.e.q', 'target_level': 405, 'twist_class_label': '135.4.a.e', 'twist_class_level': 135, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 445809
{'conductor': 45, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '675.4.a.s', 'source_level': 675, 'target_char_orbit': 5, 'target_dim': 6, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '405.4.e.v', 'target_level': 405, 'twist_class_label': '135.4.a.e', 'twist_class_level': 135, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 445810
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '675.4.a.s', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '675.4.a.p', 'target_level': 675, 'twist_class_label': '135.4.a.e', 'twist_class_level': 135, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 445811
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '675.4.a.s', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '675.4.a.s', 'target_level': 675, 'twist_class_label': '135.4.a.e', 'twist_class_level': 135, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 445812
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '675.4.a.s', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '675.4.b.m', 'target_level': 675, 'twist_class_label': '135.4.a.e', 'twist_class_level': 135, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 445813
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '675.4.a.s', 'source_level': 675, 'target_char_orbit': 2, 'target_dim': 6, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '675.4.b.n', 'target_level': 675, 'twist_class_label': '135.4.a.e', 'twist_class_level': 135, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 445814
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '675.4.a.s', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '2160.4.a.bi', 'target_level': 2160, 'twist_class_label': '135.4.a.e', 'twist_class_level': 135, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 445815
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 19, 'source_is_minimal': False, 'source_label': '675.4.a.s', 'source_level': 675, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '2160.4.a.bq', 'target_level': 2160, 'twist_class_label': '135.4.a.e', 'twist_class_level': 135, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1196000
{'charpoly_factorization': [[[30, -8, -5, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 2}
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id: 1196001
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 81064793359778467, 'p': 3}
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id: 1196002
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 81064793359778467, 'p': 5}
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id: 1196003
{'charpoly_factorization': [[[8298, -795, -4, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 7}
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id: 1196004
{'charpoly_factorization': [[[-31260, -2888, 5, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 11}
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id: 1196005
{'charpoly_factorization': [[[6425, -769, 7, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 13}
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id: 1196006
{'charpoly_factorization': [[[-41760, 5608, -155, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 17}
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id: 1196007
{'charpoly_factorization': [[[-368012, -16663, 50, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 19}
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id: 1196008
{'charpoly_factorization': [[[553500, 16200, -285, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 23}
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id: 1196009
{'charpoly_factorization': [[[-6440340, -47408, 115, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 29}
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id: 1196010
{'charpoly_factorization': [[[-938304, -29232, 115, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 31}
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id: 1196011
{'charpoly_factorization': [[[22667198, -67923, -384, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 37}
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id: 1196012
{'charpoly_factorization': [[[3917280, 89812, 580, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 41}
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id: 1196013
{'charpoly_factorization': [[[5357936, 142520, -797, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 43}
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id: 1196014
{'charpoly_factorization': [[[14388240, -249152, 145, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 47}
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id: 1196015
{'charpoly_factorization': [[[-12658320, -58172, 400, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 53}
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id: 1196016
{'charpoly_factorization': [[[-5205120, -27392, 380, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 59}
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id: 1196017
{'charpoly_factorization': [[[-5069066, -87475, 152, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 61}
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id: 1196018
{'charpoly_factorization': [[[-20769300, -243999, 2, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 67}
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id: 1196019
{'charpoly_factorization': [[[-216071280, -677372, 40, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 71}
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id: 1196020
{'charpoly_factorization': [[[-16447954, 264533, -980, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 73}
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id: 1196021
{'charpoly_factorization': [[[90596925, 52215, -1013, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 79}
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id: 1196022
{'charpoly_factorization': [[[84539160, -301428, -270, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 83}
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id: 1196023
{'charpoly_factorization': [[[-125064000, 46800, 1020, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 89}
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id: 1196024
{'charpoly_factorization': [[[-27430558, -34563, 720, 1], 1]], 'hecke_orbit_code': 81064793359778467, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '675.4.a.s', 'level': 675, 'portrait': 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'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 63410701
{'hecke_orbit_code': 81064793359778467, 'n': 1, 'trace_an': 3}
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id: 63410702
{'hecke_orbit_code': 81064793359778467, 'n': 2, 'trace_an': 5}
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id: 63410703
{'hecke_orbit_code': 81064793359778467, 'n': 3, 'trace_an': 0}
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id: 63410704
{'hecke_orbit_code': 81064793359778467, 'n': 4, 'trace_an': 17}
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id: 63410705
{'hecke_orbit_code': 81064793359778467, 'n': 5, 'trace_an': 0}
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id: 63410706
{'hecke_orbit_code': 81064793359778467, 'n': 6, 'trace_an': 0}
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id: 63410707
{'hecke_orbit_code': 81064793359778467, 'n': 7, 'trace_an': 4}
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id: 63410708
{'hecke_orbit_code': 81064793359778467, 'n': 8, 'trace_an': 75}
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id: 63410709
{'hecke_orbit_code': 81064793359778467, 'n': 9, 'trace_an': 0}
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id: 63410710
{'hecke_orbit_code': 81064793359778467, 'n': 10, 'trace_an': 0}
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id: 63410711
{'hecke_orbit_code': 81064793359778467, 'n': 11, 'trace_an': -5}
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