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mf_newforms • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [462, 3, [155, 199, 211], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 67, 'conrey_indexes': [67, 331], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [0, 1]], [13, [-4, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480270, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '462.2.i.d', 'level': 462, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.i.d', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '462.2.i', 'trace_display': [1, 1, 0, 4], 'trace_hash': 1667608963833433527, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.979', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.219', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.660', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.451', 'prec': 17}, {'__RealLiteral__': 0, 'data': '107.872', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, 'traces': [2, 1, 1, -1, 0, 2, 4, -2, -1, 0, 1, 1, 8, 5, 0, -1, 1, 1, 3, 0, -1, 2, 1, -1, 5, 4, -2, 1, -2, 0, -6, 1, -1, 2, 0, 2, 3, -3, 4, 0, -12, 4, 2, 1, 0, -1, 1, -2, 2, 10, -1, -4, 0, -1, 0, -4, 6, -1, -7, 0, -6, -12, -5, 2, 0, 1, 4, 1, 2, 0, -30, 1, -12, -3, -5, -6, -1, 8, 0, 0, -1, -6, -32, 5, 0, 1, -1, -1, 8, 0, 16, -2, 6, -1, 0, -1, 14, 13, -2, 5, -15, 1, -4, -8, 0, 0, -2, 1, 18, 0, 6, -5, 8, 3, 0, 1, -4, -14, -1, 0, -1, 6, -6, -6, 0, -1, -14, 1, 1, 0, 2, 2, 15, 8, 0, -1, 4, 1, -34, 0, 2, -15, 4, -1, 0, -24, -11, -6, -1, 5, -11, -3, -2, 4, 0, 4, 9, 0, 0, 0, 5, -2, 18, 6, 0, -16, -24, 1, 6, 0, 3, -1, 6, -2, -5, -2, 7, -8, 25, 0, 44, 20, -12, -1, 0, -6, -1, -2, -4, 0, 24, 1, -14, 7, 0, 11, 54, -1, -4, -5, -4, -30, -4, 2, 0, 4, 1, -4, 6, 0, -40, 0, -15, 2, 0, 2, 6, 36, 12, 0, 4, 3, 32, -1, -10, 4, 2, -3, 6, 0, -5, 2, 11, 4, 0, -7, 0, 4, 32, 0, 4, 1, 1, 12, 0, -12, 12, 6, -16, 0, -14, 4, 2, -7, 0, -1, 12, 2, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [1, -1], [-1, 1], [0, 0], [1, 0], [3, -2], [-1, 0], [0, -1], [0, 0], [1, -1], [0, 1], [4, 0], [2, 1], [0, 0], [0, -1], [1, -1], [1, -1], [0, 3], [0, 0], [1, -3], [1, 0], [0, 1], [-1, 1], [5, -5], [0, 4], [-1, 0], [-1, 3], [-1, 0], [0, 0], [-6, 6], [1, -1], [0, -1], [1, 0], [0, 0], [1, 0], [0, 3], [-3, 3], [4, -4], [0, 0], [-6, 0], [3, -2], [1, 0], [0, 1], [0, 0], [-1, 1], [0, 1], [-1, 0], [5, -8], [5, 0], [0, -1], [-4, 4], [0, 0], [0, -1], [0, 0], [-3, 2], [3, 0], [0, -1], [-7, 7], [0, 0], [0, -6], [-6, 0], [-2, -1], [1, 0], [0, 0], [1, -1], [4, -4], [0, 1], [1, 0], [0, 0], [-15, 0], [0, 1], [-12, 12], [-3, 3], [0, -5], [-3, 0], [1, -3], [4, 0], [0, 0], [0, 0], [-1, 1], [0, -6], [-16, 0], [2, 1], [0, 0], [0, 1], [-1, 1], [-1, 1], [0, 8], [0, 0], [12, -8], [-1, 0], [0, 6], [-1, 1], [0, 0], [0, -1], [7, 0], [8, -3], [-1, 0], [0, 5]], 'ap': [[0, 1], [1, -1], [0, 0], [3, -2], [1, -1], [4, 0], [1, -1], [0, 3], [0, 1], [-1, 0], [-6, 6], [0, 3], [-6, 0], [1, 0], [0, 1], [0, 0], [-7, 7], [0, -6], [4, -4], [-15, 0], [-12, 12], [0, 0], [-16, 0], [0, 8], [7, 0], [-15, 15], [0, -4], [0, -2], [18, -18], [4, 0], [-7, 0], [0, 2], [4, -4], [-17, 0], [0, -1], [-11, 11], [9, -9], [0, 18], [-12, 0], [0, 6], [25, -25], [22, 0], [0, 24], [-14, 14], [27, 0], [-4, 4], [-20, 0], [16, 0], [2, -2], [0, 6], [0, 11], [16, 0], [4, -4], [-7, 0], [0, 12], [14, -14], [18, -18], [0, 16], [16, -16], [-27, 0], [-20, 20], [-15, 0], [-20, 0], [31, -31], [0, 33], [0, -12], [0, -10], [-26, 0], [20, -20], [32, 0], [8, -8], [0, -2], [-20, 20], [0, -34], [-22, 0], [0, -29], [28, -28], [0, -23], [0, -2], [-6, 6], [-17, 0], [-3, 0], [28, -28], [-19, 0], [0, 11], [0, 3], [-8, 0], [0, -18], [21, 0], [-32, 0], [0, 23], [-10, 10], [-20, 20], [12, 0], [0, -10], [2, 0], [0, -4], [-18, 18], [0, -44], [0, -20], [7, 0], [3, -3], [-12, 12], [0, -39], [-7, 7], [22, -22], [4, 0], [0, 19], [40, -40], [22, 0], [0, 0], [-40, 40], [26, 0], [30, -30], [40, 0], [-34, 34], [-10, 0], [-8, 8], [0, -48], [50, 0], [41, -41], [-28, 0], [0, 9], [-39, 39], [0, 34], [29, 0], [0, 9], [0, 37], [14, 0], [0, 10], [20, -20], [-6, 0], [0, 34], [29, 0], [0, 18], [-22, 0], [-14, 14], [11, -11], [42, 0], [-42, 42], [20, 0], [0, -10], [-50, 50], [30, 0], [7, -7], [-4, 0], [-36, 0], [-51, 51], [0, -8], [0, 0], [0, -32], [-12, 0], [14, 0], [0, -8], [8, -8], [-21, 0], [0, 33], [0, -54], [8, 0], [45, -45], [0, 51], [14, 0], [-35, 0], [0, 0], [-12, 12], [-19, 19], [0, 0], [44, -44]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 13511348671480270, 'hecke_ring_character_values': [[155, [1, 0]], [199, [0, -1]], [211, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '462.2.i.d', 'level': 462, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [462, 3, [155, 199, 211], [3, 2, 3]], 'conrey_index': 67, 'cusp_dim': 176, 'dim': 24, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13], 'hecke_orbit_code': 549789368782, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 6, 6], 'label': '462.2.i', 'level': 462, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 208, 'mf_new_dim': 24, 'num_forms': 7, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 192, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, -12, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, -12, 0, 0, 8, 0, -8, 0, -16, 0, -20, 0, 0, 0, 0, 0, 0, 0, -4, 24, -32, 24, -12, 16, -8, 0, 64, 8, 48, 0, 0, -8, 8, 0, -24, 32, -8, 0, 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208, -16, 24, -32, -80, -32, 112, 0, -48, 0, 48, -108, -32, 8, -96, -32, 8, 96], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 336942
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.i.d', 'source_level': 462, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '462.2.i.d', 'target_level': 462, 'twist_class_label': '462.2.i.d', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 336943
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.i.d', 'source_level': 462, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '462.2.i.d', 'target_level': 462, 'twist_class_label': '462.2.i.d', 'twist_class_level': 462, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 336944
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.i.d', 'source_level': 462, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1386.2.k.f', 'target_level': 1386, 'twist_class_label': '462.2.i.d', 'twist_class_level': 462, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 336945
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.i.d', 'source_level': 462, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1386.2.k.f', 'target_level': 1386, 'twist_class_label': '462.2.i.d', 'twist_class_level': 462, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 336946
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.i.d', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3234.2.a.c', 'target_level': 3234, 'twist_class_label': '462.2.i.d', 'twist_class_level': 462, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 336947
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.i.d', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '3234.2.a.j', 'target_level': 3234, 'twist_class_label': '462.2.i.d', 'twist_class_level': 462, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 336948
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.i.d', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 43, 'target_is_minimal': False, 'target_label': '9702.2.a.bq', 'target_level': 9702, 'twist_class_label': '462.2.i.d', 'twist_class_level': 462, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 336949
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '462.2.i.d', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 48, 'target_is_minimal': False, 'target_label': '9702.2.a.bv', 'target_level': 9702, 'twist_class_label': '462.2.i.d', 'twist_class_level': 462, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 924325
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 2}
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id: 924326
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 3}
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id: 924327
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671480270, 'p': 5}
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id: 924328
{'charpoly_factorization': [[[7, -4, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 7}
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id: 924329
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 11}
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id: 924330
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511348671480270, 'p': 13}
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id: 924331
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 17}
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id: 924332
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 19}
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id: 924333
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 23}
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id: 924334
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 13511348671480270, 'p': 29}
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id: 924335
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 31}
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id: 924336
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 37}
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id: 924337
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 13511348671480270, 'p': 41}
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id: 924338
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13511348671480270, 'p': 43}
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id: 924339
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 47}
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id: 924340
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671480270, 'p': 53}
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id: 924341
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 59}
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id: 924342
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 61}
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id: 924343
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 67}
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id: 924344
{'charpoly_factorization': [[[15, 1], 2]], 'hecke_orbit_code': 13511348671480270, 'p': 71}
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id: 924345
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 73}
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id: 924346
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671480270, 'p': 79}
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id: 924347
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 13511348671480270, 'p': 83}
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id: 924348
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 13511348671480270, 'p': 89}
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id: 924349
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 13511348671480270, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '462.2.i.d', 'level': 462, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 143252000
{'hecke_orbit_code': 13511348671480270, 'n': 1, 'trace_an': 2}
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id: 143252001
{'hecke_orbit_code': 13511348671480270, 'n': 2, 'trace_an': 1}
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id: 143252002
{'hecke_orbit_code': 13511348671480270, 'n': 3, 'trace_an': 1}
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id: 143252003
{'hecke_orbit_code': 13511348671480270, 'n': 4, 'trace_an': -1}
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id: 143252004
{'hecke_orbit_code': 13511348671480270, 'n': 5, 'trace_an': 0}
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id: 143252005
{'hecke_orbit_code': 13511348671480270, 'n': 6, 'trace_an': 2}
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id: 143252006
{'hecke_orbit_code': 13511348671480270, 'n': 7, 'trace_an': 4}
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id: 143252007
{'hecke_orbit_code': 13511348671480270, 'n': 8, 'trace_an': -2}
-
id: 143252008
{'hecke_orbit_code': 13511348671480270, 'n': 9, 'trace_an': -1}
-
id: 143252009
{'hecke_orbit_code': 13511348671480270, 'n': 10, 'trace_an': 0}
-
id: 143252010
{'hecke_orbit_code': 13511348671480270, 'n': 11, 'trace_an': 1}
-
id: 143252011
{'hecke_orbit_code': 13511348671480270, 'n': 12, 'trace_an': 1}
-
id: 143252012
{'hecke_orbit_code': 13511348671480270, 'n': 13, 'trace_an': 8}
-
id: 143252013
{'hecke_orbit_code': 13511348671480270, 'n': 14, 'trace_an': 5}
-
id: 143252014
{'hecke_orbit_code': 13511348671480270, 'n': 15, 'trace_an': 0}
-
id: 143252015
{'hecke_orbit_code': 13511348671480270, 'n': 16, 'trace_an': -1}
-
id: 143252016
{'hecke_orbit_code': 13511348671480270, 'n': 17, 'trace_an': 1}
-
id: 143252017
{'hecke_orbit_code': 13511348671480270, 'n': 18, 'trace_an': 1}
-
id: 143252018
{'hecke_orbit_code': 13511348671480270, 'n': 19, 'trace_an': 3}
-
id: 143252019
{'hecke_orbit_code': 13511348671480270, 'n': 20, 'trace_an': 0}
-
id: 143252020
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