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{'Nk2': 6468, 'analytic_conductor': 12.911810006841039, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, 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': [1617, 1, [1079, 199, 442], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2624, 'field_disc_factorization': [[2, 6], [41, 1]], 'field_poly': [1, 2, -3, -2, 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': [[2, [-1, 6, -3, -2, 1]], [5, [7, 4, -8, 0, 1]], [13, [-7, 24, 6, -8, 1]], [17, [-28, 48, -6, -8, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090447953, 'hecke_ring_generator_nbound': 2, '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': '1617.2.a.y', 'level': 1617, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7, 11], 'level_radical': 231, 'minimal_twist': '1617.2.a.w', 'nf_label': '4.4.2624.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+q^{3}+\\beta _{2}q^{4}+(-1+\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1617.2.a', 'trace_display': [2, 4, 0, 0], 'trace_hash': 2070120582740586045, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.727', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.260', 'prec': 17}, {'__RealLiteral__': 0, 'data': '35.329', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6.255', 'prec': 17}, {'__RealLiteral__': 0, 'data': '481.092', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, 'traces': [4, 2, 4, 2, 0, 2, 0, 0, 4, -2, -4, 2, 8, 0, 0, -6, 8, 2, 8, 10, 0, -2, 8, 0, -4, 14, 4, 0, 16, -2, 8, 2, -4, 20, 0, 2, -4, -14, 8, 16, 12, 0, 0, -2, 0, -8, 20, -6, 0, 8, 8, 10, 8, 2, 0, 0, 8, -2, 8, 10, -24, 24, 0, -12, -12, -2, -28, 0, 8, 0, 12, 0, 20, -18, -4, -2, 0, 14, 0, -2, 4, 4, 32, 0, -24, -20, 16, 0, 4, -2, 0, -12, 8, 22, 4, 2, 8, 0, -4, 4, -8, 20, 16, -12, 0, -24, 0, 2, -24, 2, -4, 0, -12, -14, -8, 18, 8, 10, 0, 16, 4, -36, 12, 20, -12, 0, 0, -22, 0, -14, 20, -2, 0, -6, 0, -24, -8, -8, 20, 0, 20, 36, -8, -6, 8, 6, 0, -34, 16, 8, -32, 4, 8, 0, 16, 10, -8, 40, 8, -10, 0, 2, -28, -20, 0, -20, 16, 0, 0, -16, 8, 4, -16, -2, 0, 6, 8, -44, 24, 10, -16, 0, -24, -8, -8, 24, -8, 6, 0, -26, 36, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0], [1, -1, 0, 0], [1, 0, 0, 0], [0, 0, 1, 0], [-1, 1, 1, -1], [1, -1, 0, 0], [0, 0, 0, 0], [-1, 1, 1, -1], [1, 0, 0, 0], [-1, 0, 1, -2], [-1, 0, 0, 0], [0, 0, 1, 0], [3, -2, 0, 2], [0, 0, 0, 0], [-1, 1, 1, -1], [-1, 0, -1, -2], [4, -3, -1, 2], [1, -1, 0, 0], [1, 2, 0, 0], [2, 0, 1, -1], [0, 0, 0, 0], [-1, 1, 0, 0], [2, 1, -1, 0], [-1, 1, 1, -1], [0, -2, 0, 2], [5, -3, 0, 2], [1, 0, 0, 0], [0, 0, 0, 0], [3, 1, 1, 1], [-1, 0, 1, -2], [2, -1, 1, -2], [0, 2, -1, 1], [-1, 0, 0, 0], [6, -2, 0, 3], [0, 0, 0, 0], [0, 0, 1, 0], [-1, 2, -2, -2], [-1, -3, -2, 0], [3, -2, 0, 2], [5, -2, 0, 2], [4, 0, -2, -1], [0, 0, 0, 0], [-2, 3, 1, -1], [0, 0, -1, 0], [-1, 1, 1, -1], [0, -2, -2, 1], [7, -3, -1, 3], [-1, 0, -1, -2], [0, 0, 0, 0], [2, 0, 0, 2], [4, -3, -1, 2], [2, 0, 1, -2], [2, 1, -1, 4], [1, -1, 0, 0], [1, -1, -1, 1], [0, 0, 0, 0], [1, 2, 0, 0], [3, -6, -1, 0], [5, -3, -3, 3], [2, 0, 1, -1], [-6, 4, -4, -6], [4, 0, 4, -3], [0, 0, 0, 0], [-1, -2, -2, 6], [-7, 5, 3, -7], [-1, 1, 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14], [45, -14, -22, 30], [-20, 9, -15, 7], [-44, -9, -3, 14], [6, 16, -12, -24], [7, 15, 35, -1], [24, -1, 19, 15], [29, -19, -11, 37], [8, 2, 34, 15], [-44, 14, 28, 1]], 'char_orbit_index': 1, 'field_poly': [1, 2, -3, -2, 1], 'hecke_orbit_code': 108086391090447953, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [1, 2, 1, 0], [1, 6, 2, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-1, -2, 1, 0], [1, -2, -2, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1617.2.a.y', 'level': 1617, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [7, -1], [11, -1]], 12, 4], [[[3, 1], [7, -1], [11, -1]], 7, 3], [[[3, -1], [7, 1], [11, 1]], 8, 2], [[[3, 1], [7, -1], [11, 1]], 10, 4], [[[3, -1], [7, 1], [11, -1]], 6, 2], [[[3, -1], [7, -1], [11, 1]], 9, 7], [[[3, 1], [7, 1], [11, -1]], 9, 2], [[[3, 1], [7, 1], [11, 1]], 7, 4]], 'ALdims': [7, 9, 10, 7, 8, 6, 9, 12], 'Nk2': 6468, 'analytic_conductor': 12.911810006841039, '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': [1617, 1, [1079, 199, 442], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 209, 'dim': 68, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 13, 17], 'hecke_orbit_code': 33556049, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5], 'label': '1617.2.a', 'level': 1617, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': 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48, -20, -200, -32, -144, 0, -28, 848, -136, -16], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 775367
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': True, 'source_label': '1617.2.a.y', 'source_level': 1617, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 23, 'target_is_minimal': True, 'target_label': '1617.2.a.w', 'target_level': 1617, 'twist_class_label': '1617.2.a.w', 'twist_class_level': 1617, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 775368
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': True, 'source_label': '1617.2.a.y', 'source_level': 1617, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 25, 'target_is_minimal': True, 'target_label': '1617.2.a.y', 'target_level': 1617, 'twist_class_label': '1617.2.a.w', 'twist_class_level': 1617, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 775369
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': True, 'source_label': '1617.2.a.y', 'source_level': 1617, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '4851.2.a.br', 'target_level': 4851, 'twist_class_label': '1617.2.a.w', 'twist_class_level': 1617, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 775370
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 25, 'source_is_minimal': True, 'source_label': '1617.2.a.y', 'source_level': 1617, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '4851.2.a.bs', 'target_level': 4851, 'twist_class_label': '1617.2.a.w', 'twist_class_level': 1617, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2081600
{'charpoly_factorization': [[[-1, 6, -3, -2, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 2}
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id: 2081601
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 108086391090447953, 'p': 3}
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id: 2081602
{'charpoly_factorization': [[[7, 4, -8, 0, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 5}
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id: 2081603
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 108086391090447953, 'p': 7}
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id: 2081604
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 108086391090447953, 'p': 11}
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id: 2081605
{'charpoly_factorization': [[[-7, 24, 6, -8, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 13}
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id: 2081606
{'charpoly_factorization': [[[-28, 48, -6, -8, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 17}
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id: 2081607
{'charpoly_factorization': [[[-7, 24, 6, -8, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 19}
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id: 2081608
{'charpoly_factorization': [[[-68, 40, 10, -8, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 23}
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id: 2081609
{'charpoly_factorization': [[[47, -140, 80, -16, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 29}
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id: 2081610
{'charpoly_factorization': [[[28, 40, -14, -8, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 31}
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id: 2081611
{'charpoly_factorization': [[[-119, -236, -50, 4, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 37}
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id: 2081612
{'charpoly_factorization': [[[-4, 8, 24, -12, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 41}
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id: 2081613
{'charpoly_factorization': [[[-4, -40, -30, 0, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 43}
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id: 2081614
{'charpoly_factorization': [[[175, -240, 112, -20, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 47}
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id: 2081615
{'charpoly_factorization': [[[476, 488, -70, -8, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 53}
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id: 2081616
{'charpoly_factorization': [[[511, 148, -48, -8, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 59}
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id: 2081617
{'charpoly_factorization': [[[-23792, -4448, -56, 24, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 61}
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id: 2081618
{'charpoly_factorization': [[[-3871, -676, 166, 28, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 67}
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id: 2081619
{'charpoly_factorization': [[[412, 712, -56, -12, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 71}
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id: 2081620
{'charpoly_factorization': [[[-223, -148, 118, -20, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 73}
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id: 2081621
{'charpoly_factorization': [[[64, -640, -152, 0, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 79}
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id: 2081622
{'charpoly_factorization': [[[-7100, 400, 258, -32, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 83}
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id: 2081623
{'charpoly_factorization': [[[3088, 112, -124, -4, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 89}
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id: 2081624
{'charpoly_factorization': [[[4348, 504, -134, -8, 1], 1]], 'hecke_orbit_code': 108086391090447953, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '1617.2.a.y', 'level': 1617, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 256944000
{'hecke_orbit_code': 108086391090447953, 'n': 1, 'trace_an': 4}
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id: 256944001
{'hecke_orbit_code': 108086391090447953, 'n': 2, 'trace_an': 2}
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id: 256944002
{'hecke_orbit_code': 108086391090447953, 'n': 3, 'trace_an': 4}
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id: 256944003
{'hecke_orbit_code': 108086391090447953, 'n': 4, 'trace_an': 2}
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id: 256944004
{'hecke_orbit_code': 108086391090447953, 'n': 5, 'trace_an': 0}
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id: 256944005
{'hecke_orbit_code': 108086391090447953, 'n': 6, 'trace_an': 2}
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id: 256944006
{'hecke_orbit_code': 108086391090447953, 'n': 7, 'trace_an': 0}
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id: 256944007
{'hecke_orbit_code': 108086391090447953, 'n': 8, 'trace_an': 0}
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id: 256944008
{'hecke_orbit_code': 108086391090447953, 'n': 9, 'trace_an': 4}
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id: 256944009
{'hecke_orbit_code': 108086391090447953, 'n': 10, 'trace_an': -2}
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id: 256944010
{'hecke_orbit_code': 108086391090447953, 'n': 11, 'trace_an': -4}
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id: 256944011
{'hecke_orbit_code': 108086391090447953, 'n': 12, 'trace_an': 2}
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id: 256944012
{'hecke_orbit_code': 108086391090447953, 'n': 13, 'trace_an': 8}
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id: 256944013
{'hecke_orbit_code': 108086391090447953, 'n': 14, 'trace_an': 0}
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id: 256944014
{'hecke_orbit_code': 108086391090447953, 'n': 15, 'trace_an': 0}
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id: 256944015
{'hecke_orbit_code': 108086391090447953, 'n': 16, 'trace_an': -6}
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id: 256944016
{'hecke_orbit_code': 108086391090447953, 'n': 17, 'trace_an': 8}
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id: 256944017
{'hecke_orbit_code': 108086391090447953, 'n': 18, 'trace_an': 2}
-
id: 256944018
{'hecke_orbit_code': 108086391090447953, 'n': 19, 'trace_an': 8}
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id: 256944019
{'hecke_orbit_code': 108086391090447953, 'n': 20, 'trace_an': 10}
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id: 256944020
{'hecke_orbit_code': 108086391090447953, 'n': 21, 'trace_an': 0}
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id: 256944021
{'hecke_orbit_code': 108086391090447953, 'n': 22, 'trace_an': -2}
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id: 256944022
{'hecke_orbit_code': 108086391090447953, 'n': 23, 'trace_an': 8}
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id: 256944023
{'hecke_orbit_code': 108086391090447953, 'n': 24, 'trace_an': 0}
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id: 256944024
{'hecke_orbit_code': 108086391090447953, 'n': 25, 'trace_an': -4}
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id: 256944025
{'hecke_orbit_code': 108086391090447953, 'n': 26, 'trace_an': 14}
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