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mf_newforms • Show schema
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{'Nk2': 720, 'analytic_conductor': 2.6550859502583277, 'analytic_rank': 1, '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': [45, 1, [11, 37], [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, [5, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 67108909, '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': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '45.4.a.a', 'level': 45, '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, 5], 'level_radical': 15, 'minimal_twist': '45.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-5q^{2}+17q^{4}+5q^{5}-30q^{7}-45q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '45.4.a', 'trace_display': [-5, 0, 5, -30], 'trace_hash': 2231002571180033, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.191', 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mf_hecke_nf • Show schema
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{'an': [[1], [-5], [0], [17], [5], [0], [-30], [-45], [0], [-25], [-50], [0], [-20], [150], [0], [89], [10], [0], [-44], [85], [0], [250], [-120], [0], [25], [100], [0], [-510], [50], [0], [108], [-85], [0], [-50], [-150], [0], [-40], [220], [0], [-225], [-400], [0], [280], [-850], [0], [600], [280], [0], [557], [-125], [0], [-340], [610], [0], [-250], [1350], [0], [-250], [-50], [0], [-518], [-540], [0], [-287], [-100], [0], [-180], [170], [0], [750], [-700], [0], [-410], [200], [0], [-748], [1500], [0], [-516], [445], [0], [2000], [-660], [0], [50], [-1400], [0], [2250], [1500], [0], [600], [-2040], [0], [-1400], [-220], [0], [-1630], [-2785], [0], [425]], 'ap': [[-5], [0], [5], [-30], [-50], [-20], [10], [-44], [-120], [50], [108], [-40], [-400], [280], [280], [610], [-50], [-518], [-180], [-700], [-410], [-516], [-660], [1500], [-1630], [450], [770], [-660], [1754], [310], [-1070], [-1950], [-1050], [1676], [-2050], [448], [-100], [-1900], [-1920], [-2550], [-3650], [-4342], [3500], [3350], [-90], [3664], [-268], [-3670], [-3760], [-1434], [3450], [4900], [4822], [4650], [-5130], [1280], [-3350], [5512], [4920], [-4500], [-6900], [-1530], [3040], [5700], [3110], [950], [2292], [-7730], [1120], [1186], [-3630], [1800], [8490], [100], [-8084], [9480], [10950], [13840], [-9300], [-2854], [-1150], [-11162], [1200], [1510], [424], [-12360], [1300], [-7190], [150], [2670], [-1180], [14100], [-9850], [2450], [-17036], [20600], [-5750], [15500], [-13940], [-20478], [12040], [-23550], [6120], [11700], [-8188], [11690], [-21060], [22910], [1400], [-11002], [4630], [24040], [1890], [19244], [15892], [12600], [7260], [-7400], [4790], [1450], [11818], [5550], [-12930], [-32580], [10228], [-8350], [-14954], [-29400], [-16330], [30800], [-9524], [28600], [-8252], [-24920], [-27900], [-11506], [12510], [-1100], [4490], [-28600], [10068], [14250], [6830], [8920], [-3534], [8000], [5160], [-7670], [25804], [-400], [-35100], [18700], [-2980], [35880], [45240], [-33200], [35356], [25700], [52890], [-38050], [29640], [-15170], [-5470], [-15150], [-31190], [7560], [32672], [-4740]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 67108909, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '45.4.a.a', 'level': 45, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [1, 1, 1, 2], 'Nk2': 720, 'analytic_conductor': 2.6550859502583277, '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': [45, 1, [11, 37], [1, 1]], 'conrey_index': 1, 'cusp_dim': 14, 'dim': 5, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67108909, 'hecke_orbit_dims': [1, 1, 1, 1, 1], 'label': '45.4.a', 'level': 45, '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, 5], 'level_radical': 15, 'mf_dim': 22, 'mf_new_dim': 5, 'num_forms': 5, 'plus_dim': 3, 'prim_orbit_index': 1, 'relative_dim': 5, 'sturm_bound': 24, 'trace_bound': 2, 'trace_display': [0, 0, 5, -58], 'traces': [5, 0, 0, 36, 5, 0, -58, 36, 0, -40, -60, 0, 18, -12, 0, 84, -66, 0, -132, 80, 0, 352, 366, 0, 125, -396, 0, -784, -102, 0, 20, 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0, 2050, 13260, 0, 19240, -12306, 0, -91444, 8376, 0, 6800, 1320, 0, 100274, 12768, 0, 59320, 29226, 0, 34188, 29604, 0, 67024, -84750, 0, 17108, 19800, 0, -720, -29178, 0, -11180, 3864, 0, -223440, -81492, 0, 8981, -24144, 0, 174976, 1930, 0, 28126, 4740, 0, 97840, -15564, 0, -58760, 19836, 0, -5768, -33066, 0, -162264, -3840, 0, -98752, -35634, 0, 36390, 10656, 0, -6576, 13932, 0, 127780, 83016, 0, -229296, -26360, 0, -34390, -37608, 0, -10500], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 35860
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.4.a.a', 'target_level': 45, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 35861
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '45.4.a.e', 'target_level': 45, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 35862
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.4.a.a', 'target_level': 225, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 35863
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '225.4.a.h', 'target_level': 225, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 35864
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '225.4.b.a', 'target_level': 225, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 35865
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '225.4.b.b', 'target_level': 225, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 35866
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '405.4.e.b', 'target_level': 405, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 35867
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '405.4.e.n', 'target_level': 405, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 35868
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '720.4.a.o', 'target_level': 720, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 35869
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '720.4.a.bc', 'target_level': 720, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 35870
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2205.4.a.a', 'target_level': 2205, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 35871
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.4.a.a', 'source_level': 45, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2205.4.a.t', 'target_level': 2205, 'twist_class_label': '45.4.a.a', 'twist_class_level': 45, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 150225
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 2}
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id: 150226
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 3}
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id: 150227
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 5}
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id: 150228
{'charpoly_factorization': [[[30, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 7}
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id: 150229
{'charpoly_factorization': [[[50, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 11}
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id: 150230
{'charpoly_factorization': [[[20, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 13}
-
id: 150231
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 17}
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id: 150232
{'charpoly_factorization': [[[44, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 19}
-
id: 150233
{'charpoly_factorization': [[[120, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 23}
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id: 150234
{'charpoly_factorization': [[[-50, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 29}
-
id: 150235
{'charpoly_factorization': [[[-108, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 31}
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id: 150236
{'charpoly_factorization': [[[40, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 37}
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id: 150237
{'charpoly_factorization': [[[400, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 41}
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id: 150238
{'charpoly_factorization': [[[-280, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 43}
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id: 150239
{'charpoly_factorization': [[[-280, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 47}
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id: 150240
{'charpoly_factorization': [[[-610, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 53}
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id: 150241
{'charpoly_factorization': [[[50, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 59}
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id: 150242
{'charpoly_factorization': [[[518, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 61}
-
id: 150243
{'charpoly_factorization': [[[180, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 67}
-
id: 150244
{'charpoly_factorization': [[[700, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 71}
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id: 150245
{'charpoly_factorization': [[[410, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 73}
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id: 150246
{'charpoly_factorization': [[[516, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 79}
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id: 150247
{'charpoly_factorization': [[[660, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 83}
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id: 150248
{'charpoly_factorization': [[[-1500, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 89}
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id: 150249
{'charpoly_factorization': [[[1630, 1], 1]], 'hecke_orbit_code': 67108909, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '45.4.a.a', 'level': 45, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 2585676
{'hecke_orbit_code': 67108909, 'n': 1, 'trace_an': 1}
-
id: 2585677
{'hecke_orbit_code': 67108909, 'n': 2, 'trace_an': -5}
-
id: 2585678
{'hecke_orbit_code': 67108909, 'n': 3, 'trace_an': 0}
-
id: 2585679
{'hecke_orbit_code': 67108909, 'n': 4, 'trace_an': 17}
-
id: 2585680
{'hecke_orbit_code': 67108909, 'n': 5, 'trace_an': 5}
-
id: 2585681
{'hecke_orbit_code': 67108909, 'n': 6, 'trace_an': 0}
-
id: 2585682
{'hecke_orbit_code': 67108909, 'n': 7, 'trace_an': -30}
-
id: 2585683
{'hecke_orbit_code': 67108909, 'n': 8, 'trace_an': -45}
-
id: 2585684
{'hecke_orbit_code': 67108909, 'n': 9, 'trace_an': 0}
-
id: 2585685
{'hecke_orbit_code': 67108909, 'n': 10, 'trace_an': -25}
-
id: 2585686
{'hecke_orbit_code': 67108909, 'n': 11, 'trace_an': -50}
-
id: 2585687
{'hecke_orbit_code': 67108909, 'n': 12, 'trace_an': 0}
-
id: 2585688
{'hecke_orbit_code': 67108909, 'n': 13, 'trace_an': -20}
-
id: 2585689
{'hecke_orbit_code': 67108909, 'n': 14, 'trace_an': 150}
-
id: 2585690
{'hecke_orbit_code': 67108909, 'n': 15, 'trace_an': 0}
-
id: 2585691
{'hecke_orbit_code': 67108909, 'n': 16, 'trace_an': 89}
-
id: 2585692
{'hecke_orbit_code': 67108909, 'n': 17, 'trace_an': 10}
-
id: 2585693
{'hecke_orbit_code': 67108909, 'n': 18, 'trace_an': 0}
-
id: 2585694
{'hecke_orbit_code': 67108909, 'n': 19, 'trace_an': -44}
-
id: 2585695
{'hecke_orbit_code': 67108909, 'n': 20, 'trace_an': 85}
-
id: 2585696
{'hecke_orbit_code': 67108909, 'n': 21, 'trace_an': 0}
-
id: 2585697
{'hecke_orbit_code': 67108909, 'n': 22, 'trace_an': 250}
-
id: 2585698
{'hecke_orbit_code': 67108909, 'n': 23, 'trace_an': -120}
-
id: 2585699
{'hecke_orbit_code': 67108909, 'n': 24, 'trace_an': 0}
-
id: 2585700
{'hecke_orbit_code': 67108909, 'n': 25, 'trace_an': 25}
-
id: 2585701
{'hecke_orbit_code': 67108909, 'n': 26, 'trace_an': 100}
-
id: 2585702
{'hecke_orbit_code': 67108909, 'n': 27, 'trace_an': 0}
-
id: 2585703
{'hecke_orbit_code': 67108909, 'n': 28, 'trace_an': -510}
-
id: 2585704
{'hecke_orbit_code': 67108909, 'n': 29, 'trace_an': 50}
-
id: 2585705
{'hecke_orbit_code': 67108909, 'n': 30, 'trace_an': 0}
-
id: 2585706
{'hecke_orbit_code': 67108909, 'n': 31, 'trace_an': 108}
-
id: 2585707
{'hecke_orbit_code': 67108909, 'n': 32, 'trace_an': -85}
-
id: 2585708
{'hecke_orbit_code': 67108909, 'n': 33, 'trace_an': 0}
-
id: 2585709
{'hecke_orbit_code': 67108909, 'n': 34, 'trace_an': -50}
-
id: 2585710
{'hecke_orbit_code': 67108909, 'n': 35, 'trace_an': -150}
-
id: 2585711
{'hecke_orbit_code': 67108909, 'n': 36, 'trace_an': 0}
-
id: 2585712
{'hecke_orbit_code': 67108909, 'n': 37, 'trace_an': -40}
-
id: 2585713
{'hecke_orbit_code': 67108909, 'n': 38, 'trace_an': 220}
-
id: 2585714
{'hecke_orbit_code': 67108909, 'n': 39, 'trace_an': 0}
-
id: 2585715
{'hecke_orbit_code': 67108909, 'n': 40, 'trace_an': -225}
-
id: 2585716
{'hecke_orbit_code': 67108909, 'n': 41, 'trace_an': -400}
-
id: 2585717
{'hecke_orbit_code': 67108909, 'n': 42, 'trace_an': 0}
-
id: 2585718
{'hecke_orbit_code': 67108909, 'n': 43, 'trace_an': 280}
-
id: 2585719
{'hecke_orbit_code': 67108909, 'n': 44, 'trace_an': -850}
-
id: 2585720
{'hecke_orbit_code': 67108909, 'n': 45, 'trace_an': 0}
-
id: 2585721
{'hecke_orbit_code': 67108909, 'n': 46, 'trace_an': 600}
-
id: 2585722
{'hecke_orbit_code': 67108909, 'n': 47, 'trace_an': 280}
-
id: 2585723
{'hecke_orbit_code': 67108909, 'n': 48, 'trace_an': 0}
-
id: 2585724
{'hecke_orbit_code': 67108909, 'n': 49, 'trace_an': 557}
-
id: 2585725
{'hecke_orbit_code': 67108909, 'n': 50, 'trace_an': -125}
-
id: 2585726
{'hecke_orbit_code': 67108909, 'n': 51, 'trace_an': 0}
-
id: 2585727
{'hecke_orbit_code': 67108909, 'n': 52, 'trace_an': -340}
-
id: 2585728
{'hecke_orbit_code': 67108909, 'n': 53, 'trace_an': 610}
-
id: 2585729
{'hecke_orbit_code': 67108909, 'n': 54, 'trace_an': 0}
-
id: 2585730
{'hecke_orbit_code': 67108909, 'n': 55, 'trace_an': -250}
-
id: 2585731
{'hecke_orbit_code': 67108909, 'n': 56, 'trace_an': 1350}
-
id: 2585732
{'hecke_orbit_code': 67108909, 'n': 57, 'trace_an': 0}
-
id: 2585733
{'hecke_orbit_code': 67108909, 'n': 58, 'trace_an': -250}
-
id: 2585734
{'hecke_orbit_code': 67108909, 'n': 59, 'trace_an': -50}
-
id: 2585735
{'hecke_orbit_code': 67108909, 'n': 60, 'trace_an': 0}
-
id: 2585736
{'hecke_orbit_code': 67108909, 'n': 61, 'trace_an': -518}
-
id: 2585737
{'hecke_orbit_code': 67108909, 'n': 62, 'trace_an': -540}
-
id: 2585738
{'hecke_orbit_code': 67108909, 'n': 63, 'trace_an': 0}
-
id: 2585739
{'hecke_orbit_code': 67108909, 'n': 64, 'trace_an': -287}
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id: 2585740
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