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mf_newforms • Show schema
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{'Nk2': 2352, 'analytic_conductor': 8.67328077084387, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, -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': [147, 1, [50, 52], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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, [-4, 1]], [5, [18, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998203961491, 'hecke_ring_generator_nbound': 1, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '147.4.a.f', 'level': 147, 'level_is_powerful': False, '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, 7], 'level_radical': 21, 'minimal_twist': '147.4.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+4q^{2}-3q^{3}+8q^{4}-18q^{5}-12q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '147.4.a', 'trace_display': [4, -3, -18, 0], 'trace_hash': 318785509721981555, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.982', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.923', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1], [4], [-3], [8], [-18], [-12], [0], [0], [9], [-72], [-50], [-24], [36], [0], [54], [-64], [-126], [36], [72], [-144], [0], [-200], [14], [0], [199], [144], [-27], [0], [158], [216], [36], [-256], [150], [-504], [0], [72], [-162], [288], [-108], [0], [270], [0], [-324], [-400], [-162], [56], [72], [192], [0], [796], [378], [288], [-22], [-108], [900], [0], [-216], [632], [-468], [432], [-792], [144], [0], [-512], [-648], [600], [232], [-1008], [-42], [0], [-734], [0], [-180], [-648], [-597], [576], [0], [-432], [236], [1152], [81], [1080], [-36], [0], [2268], [-1296], [-474], [0], [-234], [-648], [0], [112], [-108], [288], [-1296], [768], [-468], [0], [-450], [1592]], 'ap': [[4], [-3], [-18], [0], [-50], [36], [-126], [72], [14], [158], [36], [-162], [270], [-324], [72], [-22], [-468], [-792], [232], [-734], [-180], [236], [-36], [-234], [-468], [666], [252], [670], [162], [-1390], [916], [-2268], [806], [-2628], [-2390], [3240], [-3024], [-1784], [3024], [-1566], [3802], [468], [482], [-810], [-2462], [4536], [2916], [1080], [1332], [-1620], [6718], [-3578], [756], [6516], [6030], [590], [990], [3420], [-2734], [598], [-3600], [-7902], [10224], [-3888], [-5112], [-10102], [5508], [-9234], [-6494], [-10080], [738], [194], [4752], [-2306], [-7452], [1152], [1894], [-9216], [-11650], [7524], [3852], [10402], [-10390], [-11232], [-14616], [11938], [8186], [2106], [-9486], [-12652], [3708], [8064], [-11664], [-9814], [-15228], [11088], [5814], [11682], [2988], [7130], [-5488], [5746], [-13068], [-1130], [16864], [2088], [-10260], [-3582], [7034], [18072], [-28584], [-10910], [-5522], [-2412], [24676], [-27482], [22752], [-14832], [2822], [-15826], [23832], [13770], [-8334], [-18598], [-8964], [3542], [-486], [26928], [-20628], [9756], [19064], [-3766], [-11664], [-34182], [4734], [30240], [-27702], [22644], [-30150], [-11318], [29628], [17770], [7868], [35726], [-27108], [-23256], [-35280], [19710], [-3888], [-36634], [1226], [38538], [-37260], [-26640], [-12636], [-33638], [36936], [22302], [-13824], [-13554], [44878], [38362], [26444], [-17820], [34438], [-26064], [33696], [-36072]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998203961491, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '147.4.a.f', 'level': 147, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [5, 5, 3, 7], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [4, 4, 4, 4], 'ALdims_old': [8, 6, 8, 6], 'Nk2': 2352, 'analytic_conductor': 8.67328077084387, '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': [147, 1, [50, 52], [1, 1]], 'conrey_index': 1, 'cusp_dim': 48, 'dim': 20, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 67109011, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3], 'label': '147.4.a', 'level': 147, 'level_is_powerful': False, '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, 7], 'level_radical': 21, 'mf_dim': 64, 'mf_new_dim': 20, 'num_forms': 13, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 20, 'sturm_bound': 74, 'trace_bound': 5, 'trace_display': [4, 0, 16, 0], 'traces': [20, 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40488, -38136, 32496, 0, 98072, -210360, 56976, 62924, 2896, 45360, 0, -74768, -48780, -29272, -69048, -35664, -29344, 0, -62796, -60500, -51912, 2592, -4372, 26768, 0, -165024, -143616, 6048, -154700, 86832, -1944, 0, -237076, -102900, 41980, -38544, 61536, 41912, 0, 10476, -65660, -111840, 92016, 33104, 20424, 0, -147360, 194240, 40032, -51368, 142080, -65520, 0, -187216, 158364, -11104, -265236, 10800, -37608], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 124819
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '147.4.a.f', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '147.4.a.f', 'target_level': 147, 'twist_class_label': '147.4.a.f', 'twist_class_level': 147, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 124820
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '147.4.a.f', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '147.4.a.h', 'target_level': 147, 'twist_class_label': '147.4.a.f', 'twist_class_level': 147, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 124821
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '147.4.a.f', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '147.4.e.a', 'target_level': 147, 'twist_class_label': '147.4.a.f', 'twist_class_level': 147, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 124822
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '147.4.a.f', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '147.4.e.d', 'target_level': 147, 'twist_class_label': '147.4.a.f', 'twist_class_level': 147, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 124823
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '147.4.a.f', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '441.4.a.a', 'target_level': 441, 'twist_class_label': '147.4.a.f', 'twist_class_level': 147, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 124824
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '147.4.a.f', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '441.4.a.c', 'target_level': 441, 'twist_class_label': '147.4.a.f', 'twist_class_level': 147, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 124825
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '147.4.a.f', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '441.4.e.l', 'target_level': 441, 'twist_class_label': '147.4.a.f', 'twist_class_level': 147, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 124826
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '147.4.a.f', 'source_level': 147, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '441.4.e.o', 'target_level': 441, 'twist_class_label': '147.4.a.f', 'twist_class_level': 147, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 124827
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '147.4.a.f', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '2352.4.a.s', 'target_level': 2352, 'twist_class_label': '147.4.a.f', 'twist_class_level': 147, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 124828
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': True, 'source_label': '147.4.a.f', 'source_level': 147, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2352.4.a.t', 'target_level': 2352, 'twist_class_label': '147.4.a.f', 'twist_class_level': 147, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 391125
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 2}
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id: 391126
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 3}
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id: 391127
{'charpoly_factorization': [[[18, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 5}
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id: 391128
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 7}
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id: 391129
{'charpoly_factorization': [[[50, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 11}
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id: 391130
{'charpoly_factorization': [[[-36, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 13}
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id: 391131
{'charpoly_factorization': [[[126, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 17}
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id: 391132
{'charpoly_factorization': [[[-72, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 19}
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id: 391133
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 23}
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id: 391134
{'charpoly_factorization': [[[-158, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 29}
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id: 391135
{'charpoly_factorization': [[[-36, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 31}
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id: 391136
{'charpoly_factorization': [[[162, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 37}
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id: 391137
{'charpoly_factorization': [[[-270, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 41}
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id: 391138
{'charpoly_factorization': [[[324, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 43}
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id: 391139
{'charpoly_factorization': [[[-72, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 47}
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id: 391140
{'charpoly_factorization': [[[22, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 53}
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id: 391141
{'charpoly_factorization': [[[468, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 59}
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id: 391142
{'charpoly_factorization': [[[792, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 61}
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id: 391143
{'charpoly_factorization': [[[-232, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 67}
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id: 391144
{'charpoly_factorization': [[[734, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 71}
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id: 391145
{'charpoly_factorization': [[[180, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 73}
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id: 391146
{'charpoly_factorization': [[[-236, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 79}
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id: 391147
{'charpoly_factorization': [[[36, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 83}
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id: 391148
{'charpoly_factorization': [[[234, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 89}
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id: 391149
{'charpoly_factorization': [[[468, 1], 1]], 'hecke_orbit_code': 22517998203961491, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '147.4.a.f', 'level': 147, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 43418023
{'hecke_orbit_code': 22517998203961491, 'n': 1, 'trace_an': 1}
-
id: 43418024
{'hecke_orbit_code': 22517998203961491, 'n': 2, 'trace_an': 4}
-
id: 43418025
{'hecke_orbit_code': 22517998203961491, 'n': 3, 'trace_an': -3}
-
id: 43418026
{'hecke_orbit_code': 22517998203961491, 'n': 4, 'trace_an': 8}
-
id: 43418027
{'hecke_orbit_code': 22517998203961491, 'n': 5, 'trace_an': -18}
-
id: 43418028
{'hecke_orbit_code': 22517998203961491, 'n': 6, 'trace_an': -12}
-
id: 43418029
{'hecke_orbit_code': 22517998203961491, 'n': 7, 'trace_an': 0}
-
id: 43418030
{'hecke_orbit_code': 22517998203961491, 'n': 8, 'trace_an': 0}
-
id: 43418031
{'hecke_orbit_code': 22517998203961491, 'n': 9, 'trace_an': 9}
-
id: 43418032
{'hecke_orbit_code': 22517998203961491, 'n': 10, 'trace_an': -72}
-
id: 43418033
{'hecke_orbit_code': 22517998203961491, 'n': 11, 'trace_an': -50}
-
id: 43418034
{'hecke_orbit_code': 22517998203961491, 'n': 12, 'trace_an': -24}
-
id: 43418035
{'hecke_orbit_code': 22517998203961491, 'n': 13, 'trace_an': 36}
-
id: 43418036
{'hecke_orbit_code': 22517998203961491, 'n': 14, 'trace_an': 0}
-
id: 43418037
{'hecke_orbit_code': 22517998203961491, 'n': 15, 'trace_an': 54}
-
id: 43418038
{'hecke_orbit_code': 22517998203961491, 'n': 16, 'trace_an': -64}
-
id: 43418039
{'hecke_orbit_code': 22517998203961491, 'n': 17, 'trace_an': -126}
-
id: 43418040
{'hecke_orbit_code': 22517998203961491, 'n': 18, 'trace_an': 36}
-
id: 43418041
{'hecke_orbit_code': 22517998203961491, 'n': 19, 'trace_an': 72}
-
id: 43418042
{'hecke_orbit_code': 22517998203961491, 'n': 20, 'trace_an': -144}
-
id: 43418043
{'hecke_orbit_code': 22517998203961491, 'n': 21, 'trace_an': 0}
-
id: 43418044
{'hecke_orbit_code': 22517998203961491, 'n': 22, 'trace_an': -200}
-
id: 43418045
{'hecke_orbit_code': 22517998203961491, 'n': 23, 'trace_an': 14}
-
id: 43418046
{'hecke_orbit_code': 22517998203961491, 'n': 24, 'trace_an': 0}
-
id: 43418047
{'hecke_orbit_code': 22517998203961491, 'n': 25, 'trace_an': 199}
-
id: 43418048
{'hecke_orbit_code': 22517998203961491, 'n': 26, 'trace_an': 144}
-
id: 43418049
{'hecke_orbit_code': 22517998203961491, 'n': 27, 'trace_an': -27}
-
id: 43418050
{'hecke_orbit_code': 22517998203961491, 'n': 28, 'trace_an': 0}
-
id: 43418051
{'hecke_orbit_code': 22517998203961491, 'n': 29, 'trace_an': 158}
-
id: 43418052
{'hecke_orbit_code': 22517998203961491, 'n': 30, 'trace_an': 216}
-
id: 43418053
{'hecke_orbit_code': 22517998203961491, 'n': 31, 'trace_an': 36}
-
id: 43418054
{'hecke_orbit_code': 22517998203961491, 'n': 32, 'trace_an': -256}
-
id: 43418055
{'hecke_orbit_code': 22517998203961491, 'n': 33, 'trace_an': 150}
-
id: 43418056
{'hecke_orbit_code': 22517998203961491, 'n': 34, 'trace_an': -504}
-
id: 43418057
{'hecke_orbit_code': 22517998203961491, 'n': 35, 'trace_an': 0}
-
id: 43418058
{'hecke_orbit_code': 22517998203961491, 'n': 36, 'trace_an': 72}
-
id: 43418059
{'hecke_orbit_code': 22517998203961491, 'n': 37, 'trace_an': -162}
-
id: 43418060
{'hecke_orbit_code': 22517998203961491, 'n': 38, 'trace_an': 288}
-
id: 43418061
{'hecke_orbit_code': 22517998203961491, 'n': 39, 'trace_an': -108}
-
id: 43418062
{'hecke_orbit_code': 22517998203961491, 'n': 40, 'trace_an': 0}
-
id: 43418063
{'hecke_orbit_code': 22517998203961491, 'n': 41, 'trace_an': 270}
-
id: 43418064
{'hecke_orbit_code': 22517998203961491, 'n': 42, 'trace_an': 0}
-
id: 43418065
{'hecke_orbit_code': 22517998203961491, 'n': 43, 'trace_an': -324}
-
id: 43418066
{'hecke_orbit_code': 22517998203961491, 'n': 44, 'trace_an': -400}
-
id: 43418067
{'hecke_orbit_code': 22517998203961491, 'n': 45, 'trace_an': -162}
-
id: 43418068
{'hecke_orbit_code': 22517998203961491, 'n': 46, 'trace_an': 56}
-
id: 43418069
{'hecke_orbit_code': 22517998203961491, 'n': 47, 'trace_an': 72}
-
id: 43418070
{'hecke_orbit_code': 22517998203961491, 'n': 48, 'trace_an': 192}
-
id: 43418071
{'hecke_orbit_code': 22517998203961491, 'n': 49, 'trace_an': 0}
-
id: 43418072
{'hecke_orbit_code': 22517998203961491, 'n': 50, 'trace_an': 796}
-
id: 43418073
{'hecke_orbit_code': 22517998203961491, 'n': 51, 'trace_an': 378}
-
id: 43418074
{'hecke_orbit_code': 22517998203961491, 'n': 52, 'trace_an': 288}
-
id: 43418075
{'hecke_orbit_code': 22517998203961491, 'n': 53, 'trace_an': -22}
-
id: 43418076
{'hecke_orbit_code': 22517998203961491, 'n': 54, 'trace_an': -108}
-
id: 43418077
{'hecke_orbit_code': 22517998203961491, 'n': 55, 'trace_an': 900}
-
id: 43418078
{'hecke_orbit_code': 22517998203961491, 'n': 56, 'trace_an': 0}
-
id: 43418079
{'hecke_orbit_code': 22517998203961491, 'n': 57, 'trace_an': -216}
-
id: 43418080
{'hecke_orbit_code': 22517998203961491, 'n': 58, 'trace_an': 632}
-
id: 43418081
{'hecke_orbit_code': 22517998203961491, 'n': 59, 'trace_an': -468}
-
id: 43418082
{'hecke_orbit_code': 22517998203961491, 'n': 60, 'trace_an': 432}
-
id: 43418083
{'hecke_orbit_code': 22517998203961491, 'n': 61, 'trace_an': -792}
-
id: 43418084
{'hecke_orbit_code': 22517998203961491, 'n': 62, 'trace_an': 144}
-
id: 43418085
{'hecke_orbit_code': 22517998203961491, 'n': 63, 'trace_an': 0}
-
id: 43418086
{'hecke_orbit_code': 22517998203961491, 'n': 64, 'trace_an': -512}
-
id: 43418087
{'hecke_orbit_code': 22517998203961491, 'n': 65, 'trace_an': -648}
-
id: 43418088
{'hecke_orbit_code': 22517998203961491, 'n': 66, 'trace_an': 600}
-
id: 43418089
{'hecke_orbit_code': 22517998203961491, 'n': 67, 'trace_an': 232}
-
id: 43418090
{'hecke_orbit_code': 22517998203961491, 'n': 68, 'trace_an': -1008}
-
id: 43418091
{'hecke_orbit_code': 22517998203961491, 'n': 69, 'trace_an': -42}
-
id: 43418092
{'hecke_orbit_code': 22517998203961491, 'n': 70, 'trace_an': 0}
-
id: 43418093
{'hecke_orbit_code': 22517998203961491, 'n': 71, 'trace_an': -734}
-
id: 43418094
{'hecke_orbit_code': 22517998203961491, 'n': 72, 'trace_an': 0}
-
id: 43418095
{'hecke_orbit_code': 22517998203961491, 'n': 73, 'trace_an': -180}
-
id: 43418096
{'hecke_orbit_code': 22517998203961491, 'n': 74, 'trace_an': -648}
-
id: 43418097
{'hecke_orbit_code': 22517998203961491, 'n': 75, 'trace_an': -597}
-
id: 43418098
{'hecke_orbit_code': 22517998203961491, 'n': 76, 'trace_an': 576}
-
id: 43418099
{'hecke_orbit_code': 22517998203961491, 'n': 77, 'trace_an': 0}
-
id: 43418100
{'hecke_orbit_code': 22517998203961491, 'n': 78, 'trace_an': -432}
-
id: 43418101
{'hecke_orbit_code': 22517998203961491, 'n': 79, 'trace_an': 236}
-
id: 43418102
{'hecke_orbit_code': 22517998203961491, 'n': 80, 'trace_an': 1152}
-
id: 43418103
{'hecke_orbit_code': 22517998203961491, 'n': 81, 'trace_an': 81}
-
id: 43418104
{'hecke_orbit_code': 22517998203961491, 'n': 82, 'trace_an': 1080}
-
id: 43418105
{'hecke_orbit_code': 22517998203961491, 'n': 83, 'trace_an': -36}
-
id: 43418106
{'hecke_orbit_code': 22517998203961491, 'n': 84, 'trace_an': 0}
-
id: 43418107
{'hecke_orbit_code': 22517998203961491, 'n': 85, 'trace_an': 2268}
-
id: 43418108
{'hecke_orbit_code': 22517998203961491, 'n': 86, 'trace_an': -1296}
-
id: 43418109
{'hecke_orbit_code': 22517998203961491, 'n': 87, 'trace_an': -474}
-
id: 43418110
{'hecke_orbit_code': 22517998203961491, 'n': 88, 'trace_an': 0}
-
id: 43418111
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