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{'Nk2': 7480, 'analytic_conductor': 14.932025177979432, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [11, -1], [17, -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': [1870, 1, [1497, 1531, 1431], [1, 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': [[3, [-1, 1]], [7, [0, 1]], [13, [3, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998170408782, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1870.2.a.f', 'level': 1870, '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': True, 'level_primes': [2, 5, 11, 17], 'level_radical': 1870, 'minimal_twist': '1870.2.a.f', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-q^{8}+\\cdots', 'related_objects': ['EllipticCurve/Q/1870/f'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1870.2.a', 'trace_display': [-1, 1, -1, 0], 'trace_hash': 1530547171211481841, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.984', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [-1], [1], [1], [-1], [-1], [0], [-1], [-2], [1], [1], [1], [-3], [0], [-1], [1], [1], [2], [3], [-1], [0], [-1], [4], [-1], [1], [3], [-5], [0], [-3], [1], [-7], [-1], [1], [-1], [0], [-2], [8], [-3], [-3], [1], [-4], [0], [-2], [1], [2], [-4], [-9], [1], [-7], [-1], [1], [-3], [-3], [5], [-1], [0], [3], [3], [-11], [-1], [-1], [7], [0], [1], [3], [-1], [-12], [1], [4], [0], [-7], [2], [7], [-8], [1], [3], [0], [3], [0], [-1], [1], [4], [-6], [0], [-1], [2], [-3], [-1], [-1], [-2], [0], [4], [-7], [9], [-3], [-1], [-9], [7], [-2], [1]], 'ap': [[-1], [1], [-1], [0], [1], [-3], [1], [3], [4], [-3], [-7], [8], [-4], [-2], [-9], [-3], [-11], [-1], [-12], [-7], [7], [0], [-6], [-1], [-9], [4], [16], [0], [-1], [-13], [-1], [-8], [2], [-14], [-20], [22], [-2], [20], [-14], [8], [-12], [18], [18], [18], [20], [-9], [10], [9], [-3], [-26], [-3], [-24], [-22], [-20], [-24], [1], [-27], [-10], [-4], [5], [17], [19], [30], [0], [-26], [-6], [-17], [15], [35], [20], [-14], [18], [-4], [22], [-4], [17], [38], [-2], [-2], [31], [14], [-12], [16], [32], [-16], [-18], [10], [-8], [38], [23], [-14], [9], [18], [-27], [14], [-20], [-22], [12], [4], [6], [3], [-31], [44], [-31], [10], [-12], [-2], [24], [24], [-2], [46], [-23], [-33], [0], [0], [12], [-20], [-19], [0], [29], [14], [19], [12], [21], [-10], [-6], [11], [-11], [15], [-34], [-11], [-48], [-5], [11], [-30], [-5], [-26], [-37], [-30], [-10], [-18], [-45], [-44], [-8], [-2], [43], [-34], [13], [-31], [4], [-22], [-12], [14], [20], [-33], [-20], [-44], [-40], [16], [45], [3], [38], [32], [1], [22], [24], [25], [-18], [-16], [54], [-9], [52], [-33], [-58], [26], [6], [50], [-41], [29], [14], [39], [10], [-32], [-64], [28], [34], [10], [24], [4], [-64], [-46], [1], [1], [10], [25], [-46], [-30], [-18], [-45], [11], [-6], [59], [-2], [7], [20], [2], [4], [-48], [6], [67], [13], [26], [-26], [0], [-25], [-70], [-53], [-57], [38], [-5], [68], [-55], [34], [-12], [58], [-12], [-69], [-43], [-15], [-8], [47], [-14], [8], [35], [62], [-4], [-26], [-32], [64], [38], [-25], [52], [20], [30], [-29], [21], [58], [-8], [-40], [-77], [25], [60], [-67], [26], [41], [45], [-53], [-28], [-4], [-76], [44], [-42], [-46], [6], [3], [4], [42], [75], [37], [2], [-15], [20], [-38], [32], [-2], [-33], [38], [-24], [-27], [-57], [-72], [-59], [10], [58], [-68], [42], [15], [-32], [-56], [-19], [75], [9], [-18], [-72], [-10], [35], [20], [-69], [-80], [-4], [-56], [15], [77], [11], [40], [-70], [54], [-35], [12], [39], [28], [70], [22], [-54], [-65], [33], [-73], [-32], [-26], [41], [50], [-65], [38], [-16], [-51], [69], [-58], [-9], [-24], [4], [-74], [58], [-8], [30], [-74], [-36], [-80], [-78], [-64], [8], [-9], [48], [37], [-58], [6], [-18], [22], [46], [15], [-52], [76], [-2], [-60], [44], [-44], [6], [-36], [-40], [70], [57], [8], [36], [84], [0], [-58], [84], [2], [5], [-68], [-69], [60], [54], [12], [-22], [74], [-10], [49], [-50], [33], [74], [-31], [0], [38], [15], [50], [6], [-10], [-94], [-23], [12], [-8], [76], [69], [-42], [-2], [-70], [-70], [86], [4], [58], [-94], [42], [43], [-91], [84], [64], [-45], [-30], [22], [-14], [-77], [21], [-76], [-8], [4], [-57], [-40], [-18], [-7], [-73], [42], [-4], [86], [73], [1], [-11], [84], [-44], [49], [-80]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998170408782, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1870.2.a.f', 'level': 1870, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 3, 5, 2, 2, 3, 2, 4, 3, 4, 2, 4, 3, 3, 4, 2], 'Nk2': 7480, 'analytic_conductor': 14.932025177979432, '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': [1870, 1, [1497, 1531, 1431], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 317, 'dim': 49, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33556302, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 5], 'label': '1870.2.a', 'level': 1870, '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': True, 'level_primes': [2, 5, 11, 17], 'level_radical': 1870, 'mf_dim': 332, 'mf_new_dim': 49, 'num_forms': 22, 'plus_dim': 21, 'prim_orbit_index': 1, 'relative_dim': 49, 'sturm_bound': 648, 'trace_bound': 7, 'trace_display': [1, -4, -3, -24], 'traces': [49, 1, -4, 49, -3, -4, -24, 1, 37, 1, 1, -4, -18, 0, 4, 49, 1, 13, -12, -3, 0, -3, 16, -4, 49, 6, 8, -24, 22, -4, -8, 1, 4, 1, 8, 37, -34, -4, 8, 1, 2, 32, -36, 1, -7, -16, 16, -4, 9, 1, 4, -18, 14, 8, 1, 0, 32, 14, 20, 4, -74, 0, -8, 49, -2, 4, -100, 1, 48, -16, 32, 13, -54, 22, -4, -12, 0, 40, -64, -3, 41, -6, -12, 0, 1, -20, 24, -3, 50, 13, -32, 16, 48, -24, 20, -4, -6, -7, 13, 49, -2, -4, -40, 6, 16, 6, 60, 8, -10, 1, 88, -24, 26, -16, 8, 22, 6, -4, 0, -4, 49, -98, 24, -8, -3, -16, -48, 1, -32, 6, -76, 4, -64, 12, -8, 1, 42, -64, -52, 8, 96, 8, 6, 37, -26, -6, 12, -34, -50, -4, -40, -4, -19, 8, 0, 8, 6, -96, 40, 1, 80, -7, 12, 2, -4, 4, 40, 32, -17, -11, -116, -36, 14, 0, -24, 1, -48, -6, -12, -7, -18, 48, -120, -16, -10, -8, -3, 16, 96, -4, -32, -4, 50, -62, 0, 9, 6, -7, -32, 1, 96, -2, 64, 4, 2, 40, 112, -18, 12, 16, 68, 14, 80, -36, 12, 8, 32, 30, -32, 1, -2, -104, 80, 0, 37, 2, -12, 32, 54, 0, 32, 14, -22, -26, 8, 20, 128, 8, -80, 4, 58, 1, -60, -74, -11, 40, -24, 0, 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-90, 0, 32, -34, 120, 40, 14, 18, 48, 308, -22, 272, -148, 1, -26, -86, 224, -216, 8, 150, 88, 320, 20, -112, 12, -164, 128, 172, -4, 104, 8, 74, 86, 128, -80, 40, -16, -32, 4, 89, 36, -260, 58, 50, 112, 104, 1, -120, 2, -12, -60, -96, -144, 8, -74, 82, -144, 26, -11, 14, 132, 80, 40, 38, -2, 176, -24, -128, 13, 152, 0, 32, -208, 56, 32, 230, 52, 144, 1], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 829549
{'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': '1870.2.a.f', 'source_level': 1870, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1870.2.a.f', 'target_level': 1870, 'twist_class_label': '1870.2.a.f', 'twist_class_level': 1870, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 829550
{'conductor': 5, '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': '1870.2.a.f', 'source_level': 1870, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '9350.2.a.w', 'target_level': 9350, 'twist_class_label': '1870.2.a.f', 'twist_class_level': 1870, '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: 2264950
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 2}
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id: 2264951
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 3}
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id: 2264952
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 5}
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id: 2264953
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 7}
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id: 2264954
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 11}
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id: 2264955
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 13}
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id: 2264956
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 17}
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id: 2264957
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 19}
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id: 2264958
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 23}
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id: 2264959
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 29}
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id: 2264960
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 31}
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id: 2264961
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 37}
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id: 2264962
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 41}
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id: 2264963
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 43}
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id: 2264964
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 47}
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id: 2264965
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 53}
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id: 2264966
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 59}
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id: 2264967
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 61}
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id: 2264968
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 67}
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id: 2264969
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 71}
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id: 2264970
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 73}
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id: 2264971
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 79}
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id: 2264972
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 83}
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id: 2264973
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 89}
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id: 2264974
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 22517998170408782, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '1870.2.a.f', 'level': 1870, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 162938000
{'hecke_orbit_code': 22517998170408782, 'n': 1, 'trace_an': 1}
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id: 162938001
{'hecke_orbit_code': 22517998170408782, 'n': 2, 'trace_an': -1}
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id: 162938002
{'hecke_orbit_code': 22517998170408782, 'n': 3, 'trace_an': 1}
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id: 162938003
{'hecke_orbit_code': 22517998170408782, 'n': 4, 'trace_an': 1}
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id: 162938004
{'hecke_orbit_code': 22517998170408782, 'n': 5, 'trace_an': -1}
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id: 162938005
{'hecke_orbit_code': 22517998170408782, 'n': 6, 'trace_an': -1}
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id: 162938006
{'hecke_orbit_code': 22517998170408782, 'n': 7, 'trace_an': 0}
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id: 162938007
{'hecke_orbit_code': 22517998170408782, 'n': 8, 'trace_an': -1}
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id: 162938008
{'hecke_orbit_code': 22517998170408782, 'n': 9, 'trace_an': -2}
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id: 162938009
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id: 162938986
{'hecke_orbit_code': 22517998170408782, 'n': 987, 'trace_an': 0}
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id: 162938987
{'hecke_orbit_code': 22517998170408782, 'n': 988, 'trace_an': -9}
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id: 162938988
{'hecke_orbit_code': 22517998170408782, 'n': 989, 'trace_an': -8}
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id: 162938989
{'hecke_orbit_code': 22517998170408782, 'n': 990, 'trace_an': -2}
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id: 162938990
{'hecke_orbit_code': 22517998170408782, 'n': 991, 'trace_an': 25}
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id: 162938991
{'hecke_orbit_code': 22517998170408782, 'n': 992, 'trace_an': 7}
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id: 162938992
{'hecke_orbit_code': 22517998170408782, 'n': 993, 'trace_an': -17}
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id: 162938993
{'hecke_orbit_code': 22517998170408782, 'n': 994, 'trace_an': 0}
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id: 162938994
{'hecke_orbit_code': 22517998170408782, 'n': 995, 'trace_an': 9}
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id: 162938995
{'hecke_orbit_code': 22517998170408782, 'n': 996, 'trace_an': -6}
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id: 162938996
{'hecke_orbit_code': 22517998170408782, 'n': 997, 'trace_an': -18}
-
id: 162938997
{'hecke_orbit_code': 22517998170408782, 'n': 998, 'trace_an': -14}
-
id: 162938998
{'hecke_orbit_code': 22517998170408782, 'n': 999, 'trace_an': -40}
-
id: 162938999
{'hecke_orbit_code': 22517998170408782, 'n': 1000, 'trace_an': 1}