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{'Nk2': 21248, 'analytic_conductor': 42.41653355370414, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [83, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5312, 1, [831, 3653, 3073], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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]], [5, [-2, 1]], [7, [-3, 1]], [11, [-3, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425153216, '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': False, 'label': '5312.2.a.h', 'level': 5312, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 83], 'level_radical': 166, 'minimal_twist': '83.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+2q^{5}+3q^{7}-2q^{9}+3q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/5312/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5312.2.a', 'trace_display': [0, -1, 2, 3], 'trace_hash': 1519240308058745739, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.024', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.990', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.069', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.972', 'prec': 17}, {'__RealLiteral__': 0, 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1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [2], [0], [3], [0], [-2], [0], [3], [0], [6], [0], [-2], [0], [5], [0], [2], [0], [-3], [0], [4], [0], [-1], [0], [5], [0], [7], [0], [-5], [0], [-3], [0], [6], [0], [11], [0], [-6], [0], [-2], [0], [-8], [0], [-4], [0], [0], [0], [2], [0], [-5], [0], [-6], [0], [6], [0], [-2], [0], [5], [0], [-5], [0], [-6], [0], [12], [0], [-2], [0], [-4], [0], [-2], [0], [0], [0], [1], [0], [9], [0], [-14], [0], [1], [0], [-1], [0], [10], [0], [-7], [0], [0], [0], [18], [0], [5], [0], [4], [0], [-8], [0], [-6], [0]], 'ap': [[0], [-1], [2], [3], [3], [6], [5], [2], [4], [7], [-5], [11], [-2], [-8], [0], [-6], [5], [-5], [-2], [-2], [0], [-14], [-1], [0], [-8], [6], [4], [-18], [17], [15], [-13], [-4], [-14], [-2], [16], [-9], [-10], [-22], [-21], [-21], [-6], [26], [3], [2], [-11], [0], [-8], [16], [-28], [10], [18], [8], [-1], [8], [-6], [6], [-10], [32], [-10], [0], [26], [6], [20], [0], [11], [-3], [-22], [2], [14], [-23], [-1], [-33], [14], [11], [16], [29], [-4], [-2], [-18], [-21], [27], [38], [-21], [-16], [8], [13], [-2], [30], [-20], [5], [-12], [-21], [16], [-10], [-9], [0], [33], [-14], [29], [26], [13], [26], [21], [-18], [16], [-18], [-12], [-15], [-12], [42], [-24], [8], [11], [23], [12], [8], [8], [42], [-24], [-12], [0], [-23], [8], [28], [-35], [-22], [-6], [-44], [-23], [1], [-16], [36], [-40], [-23], [12], [-16], [-30], [52], [24], [-28], [-20], [32], [-36], [-32], [6], [45], [-1], [-49], [41], [-37], [14], [21], [-46], [-48], [-47], [-3], [-20], [-35], [12], [25], [32], [-27], [-22], [-22], [-19], [44], [-1], [9], [-26], [-6], [48], [-47], [-18], [-55], [10], [14], [20], [26], [2], [-8], [26], [19], [52], [-28], [-26], [-65], [2], [-33], [-8], [36], [10], [21], [19], [22], [-9], [-35], [6], [-29], [46], [43], [-54], [24], [13], [3], [-16], [6], [56], [-55], [-26], [-18], [6], [-40], [-2], [6], [30], [28], [12], [-51], [-52], [18], [50], [30], [-58], [20], [8], [-40], [-36], [33], [68], [45], [68], [19], [-40], [57], [48], [-24], [49], [-48], [-22], [48], [-16], [-28], [-25], [20], [54], [-13], [10], [-25], [-22], [72], [-16], [52], [-27], [10], [-65], [-10], [55], [-40], [-2], [2], [19], [12], [-10], [-22], [-35], [-52], [6], [-35], [4], [-34], [7], [-8], [46], [29], [64], [-81], [-33], [50], [30], [-69], [-50], [-16], [-28], [42], [-23], [40], [32], [35], [-64], [-47], [-33], [43], [74], [26], [82], [17], [72], [13], [81], [-8], [-58], [-52], [-65], [23], [50], [13], [6], [13], [46], [39], [12], [37], [-52], [62], [-7], [42], [72], [-88], [69], [42], [32], [-12], [12], [16], [31], [63], [-3], [56], [68], [46], [-41], [12], [49], [24], [25], [23], [33], [2], [-10], [-34], [-32], [-62], [35], [41], [-43], [-44], [47], [-96], [27], [78], [60], [-34], [-50], [16], [41], [39], [-12], [68], [62], [-40], [-38], [-50], [-9], [38], [16], [58], [-21], [-12], [95], [12], [-24], [36], [-97], [8], [-8], [-64], [-76], [28], [-91], [35], [-66], [-44], [-8], [-18], [-65], [-3], [14], [-19], [4], [-27], [-17], [-86], [36], [-33], [12], [46], [75], [2], [-69], [44], [-7], [48], [-11], [-54], [-84], [42], [84], [8], [4], [-54], [-105], [-8], [45], [-45], [30], [-96], [-46], [13], [27], [-23], [-66], [47], [-42], [-60], [65], [-18], [-84], [54], [10], [40]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 31525197425153216, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '5312.2.a.h', 'level': 5312, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [83, -1]], 36, 11], [[[2, 1], [83, -1]], 46, 13], [[[2, 1], [83, 1]], 37, 11], [[[2, -1], [83, 1]], 45, 13]], 'ALdims': [37, 46, 45, 36], 'Nk2': 21248, 'analytic_conductor': 42.41653355370414, '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': [5312, 1, [831, 3653, 3073], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 661, 'dim': 164, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 11], 'hecke_orbit_code': 33559744, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 8, 8, 8, 8, 11, 11], 'label': '5312.2.a', 'level': 5312, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 83], 'level_radical': 166, 'mf_dim': 684, 'mf_new_dim': 164, 'num_forms': 48, 'plus_dim': 73, 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mf_twists_nf • Show schema
Hide schema
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id: 1253283
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '5312.2.a.h', 'source_level': 5312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '83.2.a.a', 'target_level': 83, 'twist_class_label': '83.2.a.a', 'twist_class_level': 83, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1253284
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '5312.2.a.h', 'source_level': 5312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '747.2.a.d', 'target_level': 747, 'twist_class_label': '83.2.a.a', 'twist_class_level': 83, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1253285
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '5312.2.a.h', 'source_level': 5312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1328.2.a.c', 'target_level': 1328, 'twist_class_label': '83.2.a.a', 'twist_class_level': 83, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1253286
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '5312.2.a.h', 'source_level': 5312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2075.2.a.d', 'target_level': 2075, 'twist_class_label': '83.2.a.a', 'twist_class_level': 83, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1253287
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '5312.2.a.h', 'source_level': 5312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4067.2.a.a', 'target_level': 4067, 'twist_class_label': '83.2.a.a', 'twist_class_level': 83, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1253288
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '5312.2.a.h', 'source_level': 5312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '5312.2.a.h', 'target_level': 5312, 'twist_class_label': '83.2.a.a', 'twist_class_level': 83, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1253289
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '5312.2.a.h', 'source_level': 5312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '5312.2.a.l', 'target_level': 5312, 'twist_class_label': '83.2.a.a', 'twist_class_level': 83, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1253290
{'conductor': 664, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '5312.2.a.h', 'source_level': 5312, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '6889.2.a.a', 'target_level': 6889, 'twist_class_label': '83.2.a.a', 'twist_class_level': 83, 'twisting_char_label': '664.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3860050
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 2}
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id: 3860051
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 3}
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id: 3860052
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 5}
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id: 3860053
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 7}
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id: 3860054
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 11}
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id: 3860055
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 13}
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id: 3860056
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 17}
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id: 3860057
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 19}
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id: 3860058
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 23}
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id: 3860059
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 29}
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id: 3860060
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 31}
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id: 3860061
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 37}
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id: 3860062
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 41}
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id: 3860063
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 43}
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id: 3860064
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 47}
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id: 3860065
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 53}
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id: 3860066
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 59}
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id: 3860067
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 61}
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id: 3860068
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 67}
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id: 3860069
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 71}
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id: 3860070
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 73}
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id: 3860071
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 79}
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id: 3860072
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 83}
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id: 3860073
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 89}
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id: 3860074
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425153216, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '5312.2.a.h', 'level': 5312, 'portrait': 'data:image/png;base64,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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 187856000
{'hecke_orbit_code': 31525197425153216, 'n': 1, 'trace_an': 1}
-
id: 187856001
{'hecke_orbit_code': 31525197425153216, 'n': 2, 'trace_an': 0}
-
id: 187856002
{'hecke_orbit_code': 31525197425153216, 'n': 3, 'trace_an': -1}
-
id: 187856003
{'hecke_orbit_code': 31525197425153216, 'n': 4, 'trace_an': 0}
-
id: 187856004
{'hecke_orbit_code': 31525197425153216, 'n': 5, 'trace_an': 2}
-
id: 187856005
{'hecke_orbit_code': 31525197425153216, 'n': 6, 'trace_an': 0}
-
id: 187856006
{'hecke_orbit_code': 31525197425153216, 'n': 7, 'trace_an': 3}
-
id: 187856007
{'hecke_orbit_code': 31525197425153216, 'n': 8, 'trace_an': 0}
-
id: 187856008
{'hecke_orbit_code': 31525197425153216, 'n': 9, 'trace_an': -2}
-
id: 187856009
{'hecke_orbit_code': 31525197425153216, 'n': 10, 'trace_an': 0}
-
id: 187856010
{'hecke_orbit_code': 31525197425153216, 'n': 11, 'trace_an': 3}
-
id: 187856011
{'hecke_orbit_code': 31525197425153216, 'n': 12, 'trace_an': 0}
-
id: 187856012
{'hecke_orbit_code': 31525197425153216, 'n': 13, 'trace_an': 6}
-
id: 187856013
{'hecke_orbit_code': 31525197425153216, 'n': 14, 'trace_an': 0}
-
id: 187856014
{'hecke_orbit_code': 31525197425153216, 'n': 15, 'trace_an': -2}
-
id: 187856015
{'hecke_orbit_code': 31525197425153216, 'n': 16, 'trace_an': 0}
-
id: 187856016
{'hecke_orbit_code': 31525197425153216, 'n': 17, 'trace_an': 5}
-
id: 187856017
{'hecke_orbit_code': 31525197425153216, 'n': 18, 'trace_an': 0}
-
id: 187856018
{'hecke_orbit_code': 31525197425153216, 'n': 19, 'trace_an': 2}
-
id: 187856019
{'hecke_orbit_code': 31525197425153216, 'n': 20, 'trace_an': 0}
-
id: 187856020
{'hecke_orbit_code': 31525197425153216, 'n': 21, 'trace_an': -3}
-
id: 187856021
{'hecke_orbit_code': 31525197425153216, 'n': 22, 'trace_an': 0}
-
id: 187856022
{'hecke_orbit_code': 31525197425153216, 'n': 23, 'trace_an': 4}
-
id: 187856023
{'hecke_orbit_code': 31525197425153216, 'n': 24, 'trace_an': 0}
-
id: 187856024
{'hecke_orbit_code': 31525197425153216, 'n': 25, 'trace_an': -1}
-
id: 187856025
{'hecke_orbit_code': 31525197425153216, 'n': 26, 'trace_an': 0}
-
id: 187856026
{'hecke_orbit_code': 31525197425153216, 'n': 27, 'trace_an': 5}
-
id: 187856027
{'hecke_orbit_code': 31525197425153216, 'n': 28, 'trace_an': 0}
-
id: 187856028
{'hecke_orbit_code': 31525197425153216, 'n': 29, 'trace_an': 7}
-
id: 187856029
{'hecke_orbit_code': 31525197425153216, 'n': 30, 'trace_an': 0}
-
id: 187856030
{'hecke_orbit_code': 31525197425153216, 'n': 31, 'trace_an': -5}
-
id: 187856031
{'hecke_orbit_code': 31525197425153216, 'n': 32, 'trace_an': 0}
-
id: 187856032
{'hecke_orbit_code': 31525197425153216, 'n': 33, 'trace_an': -3}
-
id: 187856033
{'hecke_orbit_code': 31525197425153216, 'n': 34, 'trace_an': 0}
-
id: 187856034
{'hecke_orbit_code': 31525197425153216, 'n': 35, 'trace_an': 6}
-
id: 187856035
{'hecke_orbit_code': 31525197425153216, 'n': 36, 'trace_an': 0}
-
id: 187856036
{'hecke_orbit_code': 31525197425153216, 'n': 37, 'trace_an': 11}
-
id: 187856037
{'hecke_orbit_code': 31525197425153216, 'n': 38, 'trace_an': 0}
-
id: 187856038
{'hecke_orbit_code': 31525197425153216, 'n': 39, 'trace_an': -6}
-
id: 187856039
{'hecke_orbit_code': 31525197425153216, 'n': 40, 'trace_an': 0}
-
id: 187856040
{'hecke_orbit_code': 31525197425153216, 'n': 41, 'trace_an': -2}
-
id: 187856041
{'hecke_orbit_code': 31525197425153216, 'n': 42, 'trace_an': 0}
-
id: 187856042
{'hecke_orbit_code': 31525197425153216, 'n': 43, 'trace_an': -8}
-
id: 187856043
{'hecke_orbit_code': 31525197425153216, 'n': 44, 'trace_an': 0}
-
id: 187856044
{'hecke_orbit_code': 31525197425153216, 'n': 45, 'trace_an': -4}
-
id: 187856045
{'hecke_orbit_code': 31525197425153216, 'n': 46, 'trace_an': 0}
-
id: 187856046
{'hecke_orbit_code': 31525197425153216, 'n': 47, 'trace_an': 0}
-
id: 187856047
{'hecke_orbit_code': 31525197425153216, 'n': 48, 'trace_an': 0}
-
id: 187856048
{'hecke_orbit_code': 31525197425153216, 'n': 49, 'trace_an': 2}
-
id: 187856049
{'hecke_orbit_code': 31525197425153216, 'n': 50, 'trace_an': 0}
-
id: 187856050
{'hecke_orbit_code': 31525197425153216, 'n': 51, 'trace_an': -5}
-
id: 187856051
{'hecke_orbit_code': 31525197425153216, 'n': 52, 'trace_an': 0}
-
id: 187856052
{'hecke_orbit_code': 31525197425153216, 'n': 53, 'trace_an': -6}
-
id: 187856053
{'hecke_orbit_code': 31525197425153216, 'n': 54, 'trace_an': 0}
-
id: 187856054
{'hecke_orbit_code': 31525197425153216, 'n': 55, 'trace_an': 6}
-
id: 187856055
{'hecke_orbit_code': 31525197425153216, 'n': 56, 'trace_an': 0}
-
id: 187856056
{'hecke_orbit_code': 31525197425153216, 'n': 57, 'trace_an': -2}
-
id: 187856057
{'hecke_orbit_code': 31525197425153216, 'n': 58, 'trace_an': 0}
-
id: 187856058
{'hecke_orbit_code': 31525197425153216, 'n': 59, 'trace_an': 5}
-
id: 187856059
{'hecke_orbit_code': 31525197425153216, 'n': 60, 'trace_an': 0}
-
id: 187856060
{'hecke_orbit_code': 31525197425153216, 'n': 61, 'trace_an': -5}
-
id: 187856061
{'hecke_orbit_code': 31525197425153216, 'n': 62, 'trace_an': 0}
-
id: 187856062
{'hecke_orbit_code': 31525197425153216, 'n': 63, 'trace_an': -6}
-
id: 187856063
{'hecke_orbit_code': 31525197425153216, 'n': 64, 'trace_an': 0}
-
id: 187856064
{'hecke_orbit_code': 31525197425153216, 'n': 65, 'trace_an': 12}
-
id: 187856065
{'hecke_orbit_code': 31525197425153216, 'n': 66, 'trace_an': 0}
-
id: 187856066
{'hecke_orbit_code': 31525197425153216, 'n': 67, 'trace_an': -2}
-
id: 187856067
{'hecke_orbit_code': 31525197425153216, 'n': 68, 'trace_an': 0}
-
id: 187856068
{'hecke_orbit_code': 31525197425153216, 'n': 69, 'trace_an': -4}
-
id: 187856069
{'hecke_orbit_code': 31525197425153216, 'n': 70, 'trace_an': 0}
-
id: 187856070
{'hecke_orbit_code': 31525197425153216, 'n': 71, 'trace_an': -2}
-
id: 187856071
{'hecke_orbit_code': 31525197425153216, 'n': 72, 'trace_an': 0}
-
id: 187856072
{'hecke_orbit_code': 31525197425153216, 'n': 73, 'trace_an': 0}
-
id: 187856073
{'hecke_orbit_code': 31525197425153216, 'n': 74, 'trace_an': 0}
-
id: 187856074
{'hecke_orbit_code': 31525197425153216, 'n': 75, 'trace_an': 1}
-
id: 187856075
{'hecke_orbit_code': 31525197425153216, 'n': 76, 'trace_an': 0}
-
id: 187856076
{'hecke_orbit_code': 31525197425153216, 'n': 77, 'trace_an': 9}
-
id: 187856077
{'hecke_orbit_code': 31525197425153216, 'n': 78, 'trace_an': 0}
-
id: 187856078
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