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mf_newforms • Show schema
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{'Nk2': 22500, 'analytic_conductor': 44.91585113697022, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [5, 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': [5625, 1, [4376, 1252], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 8, 'field_disc': 33620000000, 'field_disc_factorization': [[2, 8], [5, 7], [41, 2]], 'field_poly': [5, 0, -25, 0, 30, 0, -10, 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': 1, 'hecke_cutters': [[2, [5, 0, -25, 0, 30, 0, -10, 0, 1]], [7, [5, 5, -10, 0, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835710969, '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, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5625.2.a.w', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '225.2.h.e', 'nf_label': '8.8.33620000000.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+(-1-\\beta _{2}-\\beta _{4}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5625.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1871338902315479068, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.205', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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1, 0], [0, -20, 0, 23, 0, -23, 0, -4], [-41, 0, -13, 0, -4, 0, -22, 0], [-8, 0, -23, 0, -50, 0, -14, 0], [49, 0, 0, 0, 24, 0, 17, 0], [0, 2, 0, -9, 0, -22, 0, -7], [65, 0, 7, 0, 12, 0, 2, 0], [0, 27, 0, -18, 0, 2, 0, 8], [0, -13, 0, 17, 0, 9, 0, -26], [16, 0, 21, 0, -14, 0, 20, 0], [0, 2, 0, -35, 0, 6, 0, 8], [32, 0, -18, 0, -13, 0, -10, 0], [-49, 0, -16, 0, 16, 0, 0, 0], [0, 22, 0, -29, 0, 14, 0, -3], [20, 0, -1, 0, 43, 0, -3, 0], [0, 12, 0, 16, 0, 7, 0, 9], [-29, 0, 0, 0, -32, 0, 8, 0], [0, -25, 0, 2, 0, -27, 0, 3], [-23, 0, 9, 0, 9, 0, 8, 0], [0, 1, 0, -9, 0, 31, 0, -11], [0, -28, 0, 4, 0, -3, 0, -25], [-28, 0, -2, 0, -3, 0, 20, 0], [-23, 0, -24, 0, -30, 0, -1, 0], [0, 1, 0, 7, 0, 1, 0, 15], [-27, 0, -11, 0, 5, 0, -14, 0], [0, 8, 0, 14, 0, -2, 0, 6], [-17, 0, -40, 0, -1, 0, -4, 0], [0, 23, 0, 3, 0, 36, 0, 9], [0, -7, 0, 11, 0, -30, 0, -5], [55, 0, 9, 0, 58, 0, -13, 0], [-30, 0, -9, 0, 8, 0, -2, 0], [0, -21, 0, 14, 0, -7, 0, 3], [0, -35, 0, 28, 0, -29, 0, -10], [32, 0, -13, 0, -2, 0, -13, 0], [0, -28, 0, -4, 0, -20, 0, 13], [0, -10, 0, -22, 0, -3, 0, 12], [0, -2, 0, -1, 0, 9, 0, -5], [27, 0, 26, 0, -9, 0, -14, 0], [0, 43, 0, -6, 0, -5, 0, 22], [0, 36, 0, 14, 0, 4, 0, -4], [-9, 0, 20, 0, 33, 0, 22, 0], [0, -18, 0, 9, 0, 0, 0, -12], [0, 30, 0, -5, 0, 4, 0, 15], [0, 16, 0, 4, 0, -9, 0, 9], [-26, 0, 15, 0, 9, 0, -1, 0], [0, 4, 0, 28, 0, -20, 0, 9]], 'char_orbit_index': 1, 'field_poly': [5, 0, -25, 0, 30, 0, -10, 0, 1], 'hecke_orbit_code': 99079191835710969, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [3, 0, 1, 0, 0, 0, 0, 0], [0, 4, 0, 1, 0, 0, 0, 0], [13, 0, 5, 0, 1, 0, 0, 0], [0, 18, 0, 5, 0, 1, 0, 0], [59, 0, 23, 0, 8, 0, 1, 0], [0, 83, 0, 22, 0, 9, 0, 1]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-3, 0, 1, 0, 0, 0, 0, 0], [0, -4, 0, 1, 0, 0, 0, 0], [2, 0, -5, 0, 1, 0, 0, 0], [0, 2, 0, -5, 0, 1, 0, 0], [-6, 0, 17, 0, -8, 0, 1, 0], [0, -13, 0, 23, 0, -9, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '5625.2.a.w', 'level': 5625, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[3, -1], [5, -1]], 54, 9], [[[3, 1], [5, 1]], 36, 5], [[[3, 1], [5, -1]], 44, 4], [[[3, -1], [5, 1]], 58, 14]], 'ALdims': [36, 44, 58, 54], 'Nk2': 22500, 'analytic_conductor': 44.91585113697022, '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': [5625, 1, [4376, 1252], [1, 1]], 'conrey_index': 1, 'cusp_dim': 691, 'dim': 192, 'eis_dim': 119, 'eis_new_dim': 16, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33560057, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 24], 'label': '5625.2.a', 'level': 5625, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 810, 'mf_new_dim': 208, 'num_forms': 32, 'plus_dim': 90, 'prim_orbit_index': 1, 'relative_dim': 192, 'sturm_bound': 1500, 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mf_twists_nf • Show schema
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id: 1267703
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '5625.2.a.w', 'source_level': 5625, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '225.2.h.e', 'target_level': 225, 'twist_class_label': '225.2.h.e', 'twist_class_level': 225, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1267704
{'conductor': 75, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '5625.2.a.w', 'source_level': 5625, 'target_char_orbit': 8, 'target_dim': 16, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '225.2.h.e', 'target_level': 225, 'twist_class_label': '225.2.h.e', 'twist_class_level': 225, 'twisting_char_label': '75.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1267705
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '5625.2.a.w', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '5625.2.a.v', 'target_level': 5625, 'twist_class_label': '225.2.h.e', 'twist_class_level': 225, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1267706
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '5625.2.a.w', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '5625.2.a.v', 'target_level': 5625, 'twist_class_label': '225.2.h.e', 'twist_class_level': 225, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1267707
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '5625.2.a.w', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '5625.2.a.w', 'target_level': 5625, 'twist_class_label': '225.2.h.e', 'twist_class_level': 225, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1267708
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 8, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '5625.2.a.w', 'source_level': 5625, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '5625.2.a.w', 'target_level': 5625, 'twist_class_label': '225.2.h.e', 'twist_class_level': 225, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3952900
{'charpoly_factorization': [[[5, 0, -25, 0, 30, 0, -10, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 2}
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id: 3952901
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 99079191835710969, 'p': 3}
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id: 3952902
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 99079191835710969, 'p': 5}
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id: 3952903
{'charpoly_factorization': [[[5, 5, -10, 0, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 7}
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id: 3952904
{'charpoly_factorization': [[[125, 0, -1500, 0, 400, 0, -35, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 11}
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id: 3952905
{'charpoly_factorization': [[[-45, 60, -10, -5, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 13}
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id: 3952906
{'charpoly_factorization': [[[4205, 0, -4035, 0, 790, 0, -50, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 17}
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id: 3952907
{'charpoly_factorization': [[[-109, -61, 11, 9, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 19}
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id: 3952908
{'charpoly_factorization': [[[142805, 0, -35490, 0, 2950, 0, -95, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 23}
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id: 3952909
{'charpoly_factorization': [[[125, 0, -103375, 0, 7500, 0, -160, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 29}
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id: 3952910
{'charpoly_factorization': [[[801, -378, -16, 13, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 31}
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id: 3952911
{'charpoly_factorization': [[[-95, -195, -90, 0, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 37}
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id: 3952912
{'charpoly_factorization': [[[4005125, 0, -1218000, 0, 33850, 0, -320, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 41}
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id: 3952913
{'charpoly_factorization': [[[-45, 150, 115, 20, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 43}
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id: 3952914
{'charpoly_factorization': [[[12005, 0, -8575, 0, 1620, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 47}
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id: 3952915
{'charpoly_factorization': [[[10210205, 0, -948775, 0, 28650, 0, -310, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 53}
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id: 3952916
{'charpoly_factorization': [[[63190125, 0, -3900375, 0, 67475, 0, -445, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 59}
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id: 3952917
{'charpoly_factorization': [[[-319, -172, 14, 12, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 61}
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id: 3952918
{'charpoly_factorization': [[[-6395, -1580, 5, 20, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 67}
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id: 3952919
{'charpoly_factorization': [[[259560125, 0, -9087625, 0, 109050, 0, -550, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 71}
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id: 3952920
{'charpoly_factorization': [[[-10845, 3090, -85, -20, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 73}
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id: 3952921
{'charpoly_factorization': [[[-5309, -1194, 36, 21, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 79}
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id: 3952922
{'charpoly_factorization': [[[1805, 0, -14800, 0, 4530, 0, -160, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 83}
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id: 3952923
{'charpoly_factorization': [[[1128125, 0, -907500, 0, 37000, 0, -425, 0, 1], 1]], 'hecke_orbit_code': 99079191835710969, 'p': 89}
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id: 3952924
{'charpoly_factorization': [[[-9295, -2340, -50, 20, 1], 2]], 'hecke_orbit_code': 99079191835710969, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '5625.2.a.w', 'level': 5625, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
-
id: 253855000
{'hecke_orbit_code': 99079191835710969, 'n': 1, 'trace_an': 8}
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id: 253855001
{'hecke_orbit_code': 99079191835710969, 'n': 2, 'trace_an': 0}
-
id: 253855002
{'hecke_orbit_code': 99079191835710969, 'n': 3, 'trace_an': 0}
-
id: 253855003
{'hecke_orbit_code': 99079191835710969, 'n': 4, 'trace_an': 4}
-
id: 253855004
{'hecke_orbit_code': 99079191835710969, 'n': 5, 'trace_an': 0}
-
id: 253855005
{'hecke_orbit_code': 99079191835710969, 'n': 6, 'trace_an': 0}
-
id: 253855006
{'hecke_orbit_code': 99079191835710969, 'n': 7, 'trace_an': 0}
-
id: 253855007
{'hecke_orbit_code': 99079191835710969, 'n': 8, 'trace_an': 0}
-
id: 253855008
{'hecke_orbit_code': 99079191835710969, 'n': 9, 'trace_an': 0}
-
id: 253855009
{'hecke_orbit_code': 99079191835710969, 'n': 10, 'trace_an': 0}
-
id: 253855010
{'hecke_orbit_code': 99079191835710969, 'n': 11, 'trace_an': 0}
-
id: 253855011
{'hecke_orbit_code': 99079191835710969, 'n': 12, 'trace_an': 0}
-
id: 253855012
{'hecke_orbit_code': 99079191835710969, 'n': 13, 'trace_an': 10}
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id: 253855013
{'hecke_orbit_code': 99079191835710969, 'n': 14, 'trace_an': 0}
-
id: 253855014
{'hecke_orbit_code': 99079191835710969, 'n': 15, 'trace_an': 0}
-
id: 253855015
{'hecke_orbit_code': 99079191835710969, 'n': 16, 'trace_an': -8}
-
id: 253855016
{'hecke_orbit_code': 99079191835710969, 'n': 17, 'trace_an': 0}
-
id: 253855017
{'hecke_orbit_code': 99079191835710969, 'n': 18, 'trace_an': 0}
-
id: 253855018
{'hecke_orbit_code': 99079191835710969, 'n': 19, 'trace_an': -18}
-
id: 253855019
{'hecke_orbit_code': 99079191835710969, 'n': 20, 'trace_an': 0}
-
id: 253855020
{'hecke_orbit_code': 99079191835710969, 'n': 21, 'trace_an': 0}
-
id: 253855021
{'hecke_orbit_code': 99079191835710969, 'n': 22, 'trace_an': 0}
-
id: 253855022
{'hecke_orbit_code': 99079191835710969, 'n': 23, 'trace_an': 0}
-
id: 253855023
{'hecke_orbit_code': 99079191835710969, 'n': 24, 'trace_an': 0}
-
id: 253855024
{'hecke_orbit_code': 99079191835710969, 'n': 25, 'trace_an': 0}
-
id: 253855025
{'hecke_orbit_code': 99079191835710969, 'n': 26, 'trace_an': 0}
-
id: 253855026
{'hecke_orbit_code': 99079191835710969, 'n': 27, 'trace_an': 0}
-
id: 253855027
{'hecke_orbit_code': 99079191835710969, 'n': 28, 'trace_an': -30}
-
id: 253855028
{'hecke_orbit_code': 99079191835710969, 'n': 29, 'trace_an': 0}
-
id: 253855029
{'hecke_orbit_code': 99079191835710969, 'n': 30, 'trace_an': 0}
-
id: 253855030
{'hecke_orbit_code': 99079191835710969, 'n': 31, 'trace_an': -26}
-
id: 253855031
{'hecke_orbit_code': 99079191835710969, 'n': 32, 'trace_an': 0}
-
id: 253855032
{'hecke_orbit_code': 99079191835710969, 'n': 33, 'trace_an': 0}
-
id: 253855033
{'hecke_orbit_code': 99079191835710969, 'n': 34, 'trace_an': -20}
-
id: 253855034
{'hecke_orbit_code': 99079191835710969, 'n': 35, 'trace_an': 0}
-
id: 253855035
{'hecke_orbit_code': 99079191835710969, 'n': 36, 'trace_an': 0}
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