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{'Nk2': 8800, 'analytic_conductor': 17.567088444681684, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [11, 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': [2200, 1, [551, 1101, 177, 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, [1, 1]], [13, [0, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425150104, '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': '2200.2.a.h', 'level': 2200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '440.2.b.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{7}-2q^{9}-q^{11}-q^{17}+q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/2200/h'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2200.2.a', 'trace_display': [0, 1, 0, -1], 'trace_hash': 1878993227631436474, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.018', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.027', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [1], [0], [0], [0], [-1], [0], [-2], [0], [-1], [0], [0], [0], [0], [0], [-1], [0], [1], [0], [-1], [0], [0], [0], [0], [0], [-5], [0], [-1], [0], [-1], [0], [-1], [0], [0], [0], [-1], [0], [0], [0], [0], [0], [-6], [0], [0], [0], [-8], [0], [-6], [0], [-1], [0], [-9], [0], [0], [0], [1], [0], [4], [0], [-7], [0], [2], [0], [0], [0], [4], [0], [0], [0], [5], [0], [-14], [0], [0], [0], [1], [0], [4], [0], [1], [0], [-16], [0], [0], [0], [-1], [0], [-7], [0], [0], [0], [-1], [0], [0], [0], [16], [0], [2], [0]], 'ap': [[0], [1], [0], [-1], [-1], [0], [-1], [1], [0], [-1], [-1], [-1], [0], [-6], [-8], [-9], [4], [-7], [4], [5], [-14], [4], [-16], [-7], [16], [-10], [-8], [-8], [10], [-2], [16], [21], [-12], [12], [17], [10], [-13], [-19], [3], [22], [-10], [-22], [24], [-13], [-18], [17], [17], [10], [-12], [12], [-1], [-16], [0], [6], [-24], [21], [8], [-6], [8], [-22], [20], [-16], [16], [-13], [18], [1], [-34], [13], [18], [10], [14], [20], [0], [-4], [2], [-18], [6], [14], [-29], [-32], [8], [24], [0], [-26], [26], [-20], [-2], [1], [9], [36], [5], [-34], [-18], [-27], [28], [24], [8], [-2], [28], [3], [12], [-8], [12], [24], [7], [-4], [-33], [18], [-5], [14], [-3], [46], [8], [0], [21], [-1], [1], [-48], [-27], [-33], [28], [35], [-36], [15], [40], [33], [18], [-41], [18], [6], [-16], [-21], [-29], [-10], [-20], [-22], [-45], [-30], [54], [34], [-17], [42], [-2], [14], [4], [24], [16], [-53], [2], [-52], [38], [-10], [-41], [-48], [-7], [-27], [-26], [15], [-10], [27], [35], [-39], [25], [-48], [0], [-42], [24], [-10], [0], [-9], [-43], [16], [-62], [3], [12], [-5], [-44], [-30], [-11], [1], [-14], [37], [-63], [11], [-58], [-24], [-20], [52], [0], [-40], [10], [50], [52], [-2], [-38], [-48], [-12], [-34], [-42], [33], [11], [-40], [-35], [-70], [54], [-25], [-8], [-44], [-36], [-58], [17], [42], [16], [-49], [34], [15], [-23], [42], [8], [-31], [58], [66], [33], [-52], [24], [-15], [-6], [-3], [24], [-40], [58], [-37], [-46], [-10], [4], [-35], [-29], [14], [-8], [51], [15], [52], [-62], [20], [-30], [-30], [-24], [4], [45], [33], [62], [60], [48], [-5], [36], [-51], [-54], [10], [-26], [-7], [44], [-6], [17], [-44], [18], [50], [-36], [5], [-28], [-54], [-30], [83], [-46], [76], [83], [-8], [12], [62], [-32], [63], [67], [76], [-44], [-63], [8], [39], [50], [64], [-35], [-48], [-24], [-60], [75], [-85], [62], [-30], [32], [69], [-76], [50], [-55], [40], [-52], [20], [78], [-8], [12], [-64], [-21], [4], [-8], [36], [-72], [21], [-57], [-56], [72], [6], [52], [20], [-5], [-56], [-42], [-50], [49], [-65], [-12], [28], [-41], [86], [31], [-30], [76], [36], [9], [41], [28], [7], [-19], [-25], [54], [48], [-9], [53], [-45], [11], [-46], [-41], [-82], [1], [-63], [4], [24], [-19], [-47], [-51], [15], [27], [-14], [64], [88], [30], [72], [-29], [-67], [12], [12], [-33], [-26], [46], [28], [-56], [-75], [-36], [-46], [66], [-42], [-77], [48], [89], [-26], [-14], [88], [57], [100], [-38], [-64], [-3], [-74], [-14], [-11], [-39], [36], [-52], [60], [-6], [74], [51], [2], [-63], [-57], [50], [24], [38], [-22], [66], [-43], [68], [-21], [-30], [6], [-48], [8], [-8], [-94], [-42], [-18], [-70], [0], [-69], [-86], [-58], [-42], [-59], [-16], [-31], [79], [70], [-14], [18]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 31525197425150104, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2200.2.a.h', 'level': 2200, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, -1], [11, 1]], 5, 3], [[[2, 1], [5, 1], [11, -1]], 6, 3], [[[2, -1], [5, -1], [11, -1]], 8, 3], [[[2, 1], [5, -1], [11, -1]], 7, 3], [[[2, -1], [5, 1], [11, 1]], 7, 5], [[[2, -1], [5, -1], [11, 1]], 4, 3], [[[2, 1], [5, 1], [11, 1]], 6, 3], [[[2, -1], [5, 1], [11, -1]], 4, 2]], 'ALdims': [6, 6, 5, 7, 7, 4, 4, 8], 'Nk2': 8800, 'analytic_conductor': 17.567088444681684, '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': [2200, 1, [551, 1101, 177, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 337, 'dim': 47, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33556632, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4], 'label': '2200.2.a', 'level': 2200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 384, 'mf_new_dim': 47, 'num_forms': 25, 'plus_dim': 21, 'prim_orbit_index': 1, 'relative_dim': 47, 'sturm_bound': 720, 'trace_bound': 11, 'trace_display': [0, -2, 0, -4], 'traces': [47, 0, -2, 0, 0, 0, -4, 0, 41, 0, 3, 0, -6, 0, 0, 0, 2, 0, -4, 0, 4, 0, -6, 0, 0, 0, -14, 0, 30, 0, -14, 0, 2, 0, 0, 0, 16, 0, 0, 0, 18, 0, -16, 0, 0, 0, 20, 0, 31, 0, -4, 0, 10, 0, 0, 0, 32, 0, 14, 0, 14, 0, 24, 0, 0, 0, -6, 0, 22, 0, -18, 0, -18, 0, 0, 0, 4, 0, -52, 0, 71, 0, -8, 0, 0, 0, 0, 0, 24, 0, -48, 0, -10, 0, 0, 0, -8, 0, 9, 0, -22, 0, 20, 0, 0, 0, 24, 0, -70, 0, -70, 0, 48, 0, 0, 0, 10, 0, 16, 0, 47, 0, 48, 0, 0, 0, 0, 0, 124, 0, 32, 0, -32, 0, 0, 0, 64, 0, -72, 0, 72, 0, 2, 0, 0, 0, -50, 0, -46, 0, -28, 0, 14, 0, 0, 0, -28, 0, 108, 0, 76, 0, -24, 0, 0, 0, -48, 0, 21, 0, -4, 0, 6, 0, 0, 0, -14, 0, 6, 0, -48, 0, 24, 0, 0, 0, -14, 0, 20, 0, 14, 0, 6, 0, 0, 0, 22, 0, -12, 0, -62, 0, 24, 0, 0, 0, -48, 0, -16, 0, -44, 0, -46, 0, 0, 0, -36, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 892713
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '2200.2.a.h', 'source_level': 2200, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '440.2.b.c', 'target_level': 440, 'twist_class_label': '440.2.b.c', 'twist_class_level': 440, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 892714
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '2200.2.a.h', 'source_level': 2200, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '880.2.b.g', 'target_level': 880, 'twist_class_label': '440.2.b.c', 'twist_class_level': 440, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 892715
{'conductor': 5, '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': '2200.2.a.h', 'source_level': 2200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2200.2.a.d', 'target_level': 2200, 'twist_class_label': '440.2.b.c', 'twist_class_level': 440, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 892716
{'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': '2200.2.a.h', 'source_level': 2200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2200.2.a.h', 'target_level': 2200, 'twist_class_label': '440.2.b.c', 'twist_class_level': 440, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 892717
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '2200.2.a.h', 'source_level': 2200, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3960.2.d.a', 'target_level': 3960, 'twist_class_label': '440.2.b.c', 'twist_class_level': 440, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 892718
{'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': '2200.2.a.h', 'source_level': 2200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4400.2.a.j', 'target_level': 4400, 'twist_class_label': '440.2.b.c', 'twist_class_level': 440, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 892719
{'conductor': 20, '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': '2200.2.a.h', 'source_level': 2200, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '4400.2.a.u', 'target_level': 4400, 'twist_class_label': '440.2.b.c', 'twist_class_level': 440, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2492275
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 2}
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id: 2492276
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 3}
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id: 2492277
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 5}
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id: 2492278
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 7}
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id: 2492279
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 11}
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id: 2492280
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 13}
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id: 2492281
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 17}
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id: 2492282
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 19}
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id: 2492283
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 23}
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id: 2492284
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 29}
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id: 2492285
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 31}
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id: 2492286
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 37}
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id: 2492287
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 41}
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id: 2492288
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 43}
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id: 2492289
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 47}
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id: 2492290
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 53}
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id: 2492291
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 59}
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id: 2492292
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 61}
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id: 2492293
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 67}
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id: 2492294
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 71}
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id: 2492295
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 73}
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id: 2492296
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 79}
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id: 2492297
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 83}
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id: 2492298
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 89}
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id: 2492299
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 31525197425150104, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '2200.2.a.h', 'level': 2200, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 186131000
{'hecke_orbit_code': 31525197425150104, 'n': 1, 'trace_an': 1}
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id: 186131001
{'hecke_orbit_code': 31525197425150104, 'n': 2, 'trace_an': 0}
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id: 186131002
{'hecke_orbit_code': 31525197425150104, 'n': 3, 'trace_an': 1}
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id: 186131003
{'hecke_orbit_code': 31525197425150104, 'n': 4, 'trace_an': 0}
-
id: 186131004
{'hecke_orbit_code': 31525197425150104, 'n': 5, 'trace_an': 0}
-
id: 186131005
{'hecke_orbit_code': 31525197425150104, 'n': 6, 'trace_an': 0}
-
id: 186131006
{'hecke_orbit_code': 31525197425150104, 'n': 7, 'trace_an': -1}
-
id: 186131007
{'hecke_orbit_code': 31525197425150104, 'n': 8, 'trace_an': 0}
-
id: 186131008
{'hecke_orbit_code': 31525197425150104, 'n': 9, 'trace_an': -2}
-
id: 186131009
{'hecke_orbit_code': 31525197425150104, 'n': 10, 'trace_an': 0}
-
id: 186131010
{'hecke_orbit_code': 31525197425150104, 'n': 11, 'trace_an': -1}
-
id: 186131011
{'hecke_orbit_code': 31525197425150104, 'n': 12, 'trace_an': 0}
-
id: 186131012
{'hecke_orbit_code': 31525197425150104, 'n': 13, 'trace_an': 0}
-
id: 186131013
{'hecke_orbit_code': 31525197425150104, 'n': 14, 'trace_an': 0}
-
id: 186131014
{'hecke_orbit_code': 31525197425150104, 'n': 15, 'trace_an': 0}
-
id: 186131015
{'hecke_orbit_code': 31525197425150104, 'n': 16, 'trace_an': 0}
-
id: 186131016
{'hecke_orbit_code': 31525197425150104, 'n': 17, 'trace_an': -1}
-
id: 186131017
{'hecke_orbit_code': 31525197425150104, 'n': 18, 'trace_an': 0}
-
id: 186131018
{'hecke_orbit_code': 31525197425150104, 'n': 19, 'trace_an': 1}
-
id: 186131019
{'hecke_orbit_code': 31525197425150104, 'n': 20, 'trace_an': 0}
-
id: 186131020
{'hecke_orbit_code': 31525197425150104, 'n': 21, 'trace_an': -1}
-
id: 186131021
{'hecke_orbit_code': 31525197425150104, 'n': 22, 'trace_an': 0}
-
id: 186131022
{'hecke_orbit_code': 31525197425150104, 'n': 23, 'trace_an': 0}
-
id: 186131023
{'hecke_orbit_code': 31525197425150104, 'n': 24, 'trace_an': 0}
-
id: 186131024
{'hecke_orbit_code': 31525197425150104, 'n': 25, 'trace_an': 0}
-
id: 186131025
{'hecke_orbit_code': 31525197425150104, 'n': 26, 'trace_an': 0}
-
id: 186131026
{'hecke_orbit_code': 31525197425150104, 'n': 27, 'trace_an': -5}
-
id: 186131027
{'hecke_orbit_code': 31525197425150104, 'n': 28, 'trace_an': 0}
-
id: 186131028
{'hecke_orbit_code': 31525197425150104, 'n': 29, 'trace_an': -1}
-
id: 186131029
{'hecke_orbit_code': 31525197425150104, 'n': 30, 'trace_an': 0}
-
id: 186131030
{'hecke_orbit_code': 31525197425150104, 'n': 31, 'trace_an': -1}
-
id: 186131031
{'hecke_orbit_code': 31525197425150104, 'n': 32, 'trace_an': 0}
-
id: 186131032
{'hecke_orbit_code': 31525197425150104, 'n': 33, 'trace_an': -1}
-
id: 186131033
{'hecke_orbit_code': 31525197425150104, 'n': 34, 'trace_an': 0}
-
id: 186131034
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