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{'Nk2': 7360, 'analytic_conductor': 14.692473971915591, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [23, -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': [1840, 1, [1151, 1381, 737, 1201], [1, 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]], [7, [0, 1]], [11, [2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797779248, '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': '1840.2.a.g', 'level': 1840, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 23], 'level_radical': 230, 'minimal_twist': '920.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}-2q^{9}-2q^{11}-5q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/1840/g'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1840.2.a', 'trace_display': [0, 1, 1, 0], 'trace_hash': 2239732584451577196, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.079', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.113', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.310', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.394', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [1, 0, 1, 0, 1, 0, 0, 0, -2, 0, -2, 0, -5, 0, 1, 0, -4, 0, 2, 0, 0, 0, 1, 0, 1, 0, -5, 0, -3, 0, -7, 0, -2, 0, 0, 0, -2, 0, -5, 0, -9, 0, 4, 0, -2, 0, 9, 0, -7, 0, -4, 0, -6, 0, -2, 0, 2, 0, 0, 0, 2, 0, 0, 0, -5, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 14, 0, 1, 0, 0, 0, -4, 0, -3, 0, 16, 0, 0, 0, -7, 0, 2, 0, -4, 0, 4, 0, 10, 0, 0, 0, 0, 0, -10, 0, -4, 0, -2, 0, -16, 0, 1, 0, 10, 0, 0, 0, -7, 0, -9, 0, 1, 0, 7, 0, 4, 0, -15, 0, 0, 0, -5, 0, -12, 0, -9, 0, 9, 0, 10, 0, -3, 0, -7, 0, 14, 0, -15, 0, 8, 0, -7, 0, -4, 0, -6, 0, 0, 0, 23, 0, -2, 0, -16, 0, 12, 0, -4, 0, 14, 0, 0, 0, 0, 0, -9, 0, -2, 0, 2, 0, -2, 0, 8, 0, 0, 0, -14, 0, 5, 0, -5, 0, 25, 0, 10, 0, 2, 0, 0, 0, -9, 0, -2, 0, -4, 0, -28, 0, 1, 0, 4, 0, 0, 0, 1, 0, 20, 0, 8, 0, -2, 0, 4, 0, 0, 0, 0, 0, -25, 0, 9, 0, 14, 0, 9, 0, -10, 0, 16, 0, -7, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [1], [0], [0], [0], [-2], [0], [-2], [0], [-5], [0], [1], [0], [-4], [0], [2], [0], [0], [0], [1], [0], [1], [0], [-5], [0], [-3], [0], [-7], [0], [-2], [0], [0], [0], [-2], [0], [-5], [0], [-9], [0], [4], [0], [-2], [0], [9], [0], [-7], [0], [-4], [0], [-6], [0], [-2], [0], [2], [0], [0], [0], [2], [0], [0], [0], [-5], [0], [2], [0], [1], [0], [1], [0], [1], [0], [1], [0], [0], [0], [14], [0], [1], [0], [0], [0], [-4], [0], [-3], [0], [16], [0], [0], [0], [-7], [0], [2], [0], [-4], [0], [4], [0]], 'ap': [[0], [1], [1], [0], [-2], [-5], [-4], [2], [1], [-3], [-7], [-2], [-9], [4], [9], [-6], [0], [2], [2], [1], [1], [14], [0], [16], [-4], [10], [0], [-10], [-4], [-16], [7], [-15], [-12], [-9], [14], [-15], [-4], [23], [-16], [14], [-9], [-2], [-14], [5], [25], [10], [-28], [8], [4], [0], [-25], [9], [-10], [-8], [19], [-14], [-7], [0], [13], [-32], [22], [16], [-16], [9], [8], [2], [19], [8], [28], [17], [-27], [-30], [24], [14], [16], [-16], [8], [3], [-30], [-35], [12], [-8], [-28], [-6], [15], [25], [6], [32], [-7], [24], [6], [-16], [23], [-1], [-3], [-22], [-15], [36], [-28], [-35], [7], [-24], [-36], [2], [-4], [-11], [9], [-2], [32], [5], [20], [12], [-26], [48], [40], [-24], [34], [-7], [19], [0], [-10], [-9], [-30], [-5], [-20], [-16], [-12], [-32], [-46], [52], [23], [-24], [-4], [26], [13], [-34], [24], [4], [18], [10], [29], [-6], [-3], [8], [-46], [12], [22], [-41], [-43], [-57], [-50], [-28], [-52], [33], [30], [-50], [-60], [23], [-26], [-48], [-15], [-26], [3], [-22], [-26], [-50], [32], [14], [46], [3], [-18], [49], [-8], [-8], [31], [-36], [31], [-33], [-58], [-64], [47], [-8], [-19], [-54], [54], [-12], [30], [-18], [5], [48], [39], [20], [-10], [-30], [-26], [40], [-50], [-40], [-16], [-9], [-60], [8], [-23], [-18], [-28], [33], [42], [-3], [55], [43], [-9], [-5], [36], [-22], [-48], [44], [21], [-51], [-18], [-57], [-13], [26], [53], [72], [53], [-45], [42], [3], [-70], [20], [66], [-8], [10], [18], [-28], [12], [48], [58], [41], [39], [8], [25], [21], [-29], [6], [-39], [-39], [-30], [66], [2], [-36], [30], [-26], [44], [18], [-1], [-26], [-62], [5], [13], [-36], [-24], [10], [56], [-50], [-30], [-42], [-32], [-38], [-15], [-55], [-58], [28], [-32], [13], [1], [20], [18], [-70], [0], [75], [-46], [42], [70], [-32], [-48], [26], [-54], [-40], [78], [74], [76], [2], [-6], [-39], [-46], [60], [-69], [-85], [11], [28], [46], [-44], [-9], [44], [51], [52], [-36], [-70], [-30], [53], [26], [64], [23], [-6], [32], [63], [-39], [-16], [-1], [-44], [28], [39], [-40], [-66], [80], [-70], [79], [-46], [56], [17], [-17], [-25], [-17], [74], [-33], [-70], [-40], [63], [-40], [-1], [12], [-10], [30], [54], [-44], [31], [-52], [-34], [-38], [-79], [17], [70], [18], [-80], [42], [76], [-2], [57], [36], [-66], [-51], [-1], [70], [47], [-11], [-33], [70], [-22], [75], [-52], [29], [20], [72], [-37], [75], [-82], [-74], [36], [-29], [42], [-78], [52], [-53], [24], [-21], [-49], [22], [-14], [64], [-36], [54], [-87], [52], [-44], [-66], [-40], [-24], [84], [-42], [31], [-79], [-68], [-60], [83], [-11], [74], [-27], [64], [-36], [91], [-21], [-70], [86], [-50], [-27], [96], [-68], [-12], [0], [28], [-4], [-16], [76], [-31], [63], [-74], [-90], [-67], [101]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 27021597797779248, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1840.2.a.g', 'level': 1840, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [23, -1]], 7, 3], [[[2, 1], [5, 1], [23, -1]], 7, 2], [[[2, 1], [5, 1], [23, 1]], 4, 2], [[[2, -1], [5, -1], [23, 1]], 4, 2], [[[2, -1], [5, 1], [23, -1]], 7, 4], [[[2, 1], [5, -1], [23, -1]], 4, 2], [[[2, 1], [5, -1], [23, 1]], 7, 4], [[[2, -1], [5, 1], [23, 1]], 4, 3]], 'ALdims': [4, 7, 7, 4, 4, 7, 4, 7], 'Nk2': 7360, 'analytic_conductor': 14.692473971915591, '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': [1840, 1, [1151, 1381, 737, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 277, 'dim': 44, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33556272, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5], 'label': '1840.2.a', 'level': 1840, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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mf_twists_nf • Show schema
Hide schema
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id: 824767
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1840.2.a.g', 'source_level': 1840, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '920.2.a.b', 'target_level': 920, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 824768
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1840.2.a.g', 'source_level': 1840, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1840.2.a.g', 'target_level': 1840, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 824769
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1840.2.a.g', 'source_level': 1840, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4600.2.a.j', 'target_level': 4600, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 824770
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1840.2.a.g', 'source_level': 1840, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '4600.2.e.h', 'target_level': 4600, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 824771
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1840.2.a.g', 'source_level': 1840, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '7360.2.a.g', 'target_level': 7360, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 824772
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1840.2.a.g', 'source_level': 1840, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '7360.2.a.t', 'target_level': 7360, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 824773
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1840.2.a.g', 'source_level': 1840, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '8280.2.a.e', 'target_level': 8280, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 824774
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1840.2.a.g', 'source_level': 1840, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '9200.2.a.n', 'target_level': 9200, 'twist_class_label': '920.2.a.b', 'twist_class_level': 920, '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: 2245000
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 2}
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id: 2245001
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 3}
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id: 2245002
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 5}
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id: 2245003
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 7}
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id: 2245004
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 11}
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id: 2245005
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 13}
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id: 2245006
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 17}
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id: 2245007
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 19}
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id: 2245008
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 23}
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id: 2245009
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 29}
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id: 2245010
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 31}
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id: 2245011
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 37}
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id: 2245012
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 41}
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id: 2245013
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 43}
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id: 2245014
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 47}
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id: 2245015
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 53}
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id: 2245016
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 59}
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id: 2245017
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 61}
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id: 2245018
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 67}
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id: 2245019
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 71}
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id: 2245020
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 73}
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id: 2245021
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 79}
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id: 2245022
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 83}
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id: 2245023
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 89}
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id: 2245024
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 27021597797779248, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '1840.2.a.g', 'level': 1840, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 175343000
{'hecke_orbit_code': 27021597797779248, 'n': 1, 'trace_an': 1}
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id: 175343001
{'hecke_orbit_code': 27021597797779248, 'n': 2, 'trace_an': 0}
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id: 175343002
{'hecke_orbit_code': 27021597797779248, 'n': 3, 'trace_an': 1}
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id: 175343003
{'hecke_orbit_code': 27021597797779248, 'n': 4, 'trace_an': 0}
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id: 175343004
{'hecke_orbit_code': 27021597797779248, 'n': 5, 'trace_an': 1}
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id: 175343005
{'hecke_orbit_code': 27021597797779248, 'n': 6, 'trace_an': 0}
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id: 175343006
{'hecke_orbit_code': 27021597797779248, 'n': 7, 'trace_an': 0}
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id: 175343007
{'hecke_orbit_code': 27021597797779248, 'n': 8, 'trace_an': 0}
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id: 175343008
{'hecke_orbit_code': 27021597797779248, 'n': 9, 'trace_an': -2}
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id: 175343009
{'hecke_orbit_code': 27021597797779248, 'n': 10, 'trace_an': 0}
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id: 175343010
{'hecke_orbit_code': 27021597797779248, 'n': 11, 'trace_an': -2}
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id: 175343011
{'hecke_orbit_code': 27021597797779248, 'n': 12, 'trace_an': 0}
-
id: 175343012
{'hecke_orbit_code': 27021597797779248, 'n': 13, 'trace_an': -5}
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id: 175343013
{'hecke_orbit_code': 27021597797779248, 'n': 14, 'trace_an': 0}
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id: 175343014
{'hecke_orbit_code': 27021597797779248, 'n': 15, 'trace_an': 1}
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id: 175343015
{'hecke_orbit_code': 27021597797779248, 'n': 16, 'trace_an': 0}
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id: 175343016
{'hecke_orbit_code': 27021597797779248, 'n': 17, 'trace_an': -4}
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id: 175343017
{'hecke_orbit_code': 27021597797779248, 'n': 18, 'trace_an': 0}
-
id: 175343018
{'hecke_orbit_code': 27021597797779248, 'n': 19, 'trace_an': 2}
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id: 175343019
{'hecke_orbit_code': 27021597797779248, 'n': 20, 'trace_an': 0}
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id: 175343020
{'hecke_orbit_code': 27021597797779248, 'n': 21, 'trace_an': 0}
-
id: 175343021
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