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mf_newforms • Show schema
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{'Nk2': 6552, 'analytic_conductor': 13.079495851085728, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1638, 3, [911, 703, 379], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 235, 'conrey_indexes': [235, 1171], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 2, 0, 1]], [11, [1, -2, 5, 2, 1]], [17, [289, 34, 21, -2, 1]]], 'hecke_orbit': 14, 'hecke_orbit_code': 58547413664663142, 'hecke_ring_generator_nbound': 5, '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': False, 'label': '1638.2.j.n', 'level': 1638, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.i.h', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(1+\\beta _{2})q^{2}+\\beta _{2}q^{4}+\\beta _{1}q^{5}+(1+\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1638.2.j', 'trace_display': [2, 0, 0, 2], 'trace_hash': 1177685869854682079, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.144', 'prec': 17}, {'__RealLiteral__': 0, 'data': '68.024', 'prec': 20}, 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mf_hecke_nf • Show schema
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63, -6], [0, 20, 8, 20], [-12, 9, -12, 0], [20, 0, 0, -12], [65, 11, 65, 0], [29, 35, 29, 0], [0, 4, -52, 4], [-38, 1, -38, 0], [22, 35, 22, 0], [0, -30, -30, -30], [0, 26, -24, 26], [38, 0, 0, 7], [2, 0, 0, 18], [17, 4, 17, 0], [-8, -24, -8, 0], [0, -24, 41, -24], [18, 0, 0, 2], [0, 13, -11, 13], [5, 0, 0, 33], [0, 8, -13, 8], [0, -39, -10, -39], [-28, 33, -28, 0], [1, 0, 0, 25], [36, 0, 0, -22], [0, -10, 17, -10], [-24, 38, -24, 0], [-21, 0, 0, -14], [-52, -21, -52, 0], [22, 0, 0, -22], [-41, 10, -41, 0], [-60, -8, -60, 0], [0, 21, 26, 21]], 'char_orbit_index': 10, 'field_poly': [4, 0, 2, 0, 1], 'hecke_orbit_code': 58547413664663142, 'hecke_ring_character_values': [[911, [1, 0, 0, 0]], [703, [-1, 0, -1, 0]], [379, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1638.2.j.n', 'level': 1638, 'maxp': 1999, 'weight': 2}
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{'Nk2': 6552, 'analytic_conductor': 13.079495851085728, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1638, 3, [911, 703, 379], [3, 2, 3]], 'conrey_index': 235, 'cusp_dim': 640, 'dim': 80, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 618508846694, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 8, 10, 10], 'label': '1638.2.j', 'level': 1638, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 704, 'mf_new_dim': 80, 'num_forms': 20, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 672, 'trace_bound': 7, 'trace_display': [0, 0, -8, 0], 'traces': [80, 0, 0, -40, -8, 0, 0, 0, 0, 4, -4, 0, -4, 10, 0, -40, 18, 0, 4, 16, 0, 12, 12, 0, -44, -6, 0, -12, 4, 0, -4, 0, 0, -32, 12, 0, 0, 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id: 779377
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1638.2.j.n', 'source_level': 1638, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '546.2.i.h', 'target_level': 546, 'twist_class_label': '546.2.i.h', 'twist_class_level': 546, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 779378
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1638.2.j.n', 'source_level': 1638, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '546.2.i.h', 'target_level': 546, 'twist_class_label': '546.2.i.h', 'twist_class_level': 546, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 779379
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1638.2.j.n', 'source_level': 1638, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1638.2.j.n', 'target_level': 1638, 'twist_class_label': '546.2.i.h', 'twist_class_level': 546, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 779380
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1638.2.j.n', 'source_level': 1638, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1638.2.j.n', 'target_level': 1638, 'twist_class_label': '546.2.i.h', 'twist_class_level': 546, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 779381
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1638.2.j.n', 'source_level': 1638, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '3822.2.a.bp', 'target_level': 3822, 'twist_class_label': '546.2.i.h', 'twist_class_level': 546, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 779382
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 4, 'source_hecke_orbit': 14, 'source_is_minimal': False, 'source_label': '1638.2.j.n', 'source_level': 1638, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '3822.2.a.bs', 'target_level': 3822, 'twist_class_label': '546.2.i.h', 'twist_class_level': 546, '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: 2095250
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 58547413664663142, 'p': 2}
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id: 2095251
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 58547413664663142, 'p': 3}
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id: 2095252
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 5}
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id: 2095253
{'charpoly_factorization': [[[49, -14, -3, -2, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 7}
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id: 2095254
{'charpoly_factorization': [[[1, -2, 5, 2, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 11}
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id: 2095255
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 58547413664663142, 'p': 13}
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id: 2095256
{'charpoly_factorization': [[[289, 34, 21, -2, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 17}
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id: 2095257
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 58547413664663142, 'p': 19}
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id: 2095258
{'charpoly_factorization': [[[2116, -184, 62, 4, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 23}
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id: 2095259
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 58547413664663142, 'p': 29}
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id: 2095260
{'charpoly_factorization': [[[64, 64, 56, 8, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 31}
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id: 2095261
{'charpoly_factorization': [[[2116, -184, 62, 4, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 37}
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id: 2095262
{'charpoly_factorization': [[[34, 12, 1], 2]], 'hecke_orbit_code': 58547413664663142, 'p': 41}
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id: 2095263
{'charpoly_factorization': [[[-4, -4, 1], 2]], 'hecke_orbit_code': 58547413664663142, 'p': 43}
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id: 2095264
{'charpoly_factorization': [[[81, -9, 1], 2]], 'hecke_orbit_code': 58547413664663142, 'p': 47}
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id: 2095265
{'charpoly_factorization': [[[16129, 254, 131, -2, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 53}
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id: 2095266
{'charpoly_factorization': [[[6241, -1422, 245, -18, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 59}
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id: 2095267
{'charpoly_factorization': [[[289, 34, 21, -2, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 61}
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id: 2095268
{'charpoly_factorization': [[[2401, -882, 275, -18, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 67}
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id: 2095269
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 58547413664663142, 'p': 71}
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id: 2095270
{'charpoly_factorization': [[[196, -168, 158, 12, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 73}
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id: 2095271
{'charpoly_factorization': [[[15376, -496, 140, 4, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 79}
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id: 2095272
{'charpoly_factorization': [[[-28, -4, 1], 2]], 'hecke_orbit_code': 58547413664663142, 'p': 83}
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id: 2095273
{'charpoly_factorization': [[[196, -56, 30, 4, 1], 1]], 'hecke_orbit_code': 58547413664663142, 'p': 89}
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id: 2095274
{'charpoly_factorization': [[[-94, 4, 1], 2]], 'hecke_orbit_code': 58547413664663142, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 14, 'label': '1638.2.j.n', 'level': 1638, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 229896000
{'hecke_orbit_code': 58547413664663142, 'n': 1, 'trace_an': 4}
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id: 229896001
{'hecke_orbit_code': 58547413664663142, 'n': 2, 'trace_an': 2}
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id: 229896002
{'hecke_orbit_code': 58547413664663142, 'n': 3, 'trace_an': 0}
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id: 229896003
{'hecke_orbit_code': 58547413664663142, 'n': 4, 'trace_an': -2}
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id: 229896004
{'hecke_orbit_code': 58547413664663142, 'n': 5, 'trace_an': 0}
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id: 229896005
{'hecke_orbit_code': 58547413664663142, 'n': 6, 'trace_an': 0}
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id: 229896006
{'hecke_orbit_code': 58547413664663142, 'n': 7, 'trace_an': 2}
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id: 229896007
{'hecke_orbit_code': 58547413664663142, 'n': 8, 'trace_an': -4}
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id: 229896008
{'hecke_orbit_code': 58547413664663142, 'n': 9, 'trace_an': 0}
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id: 229896009
{'hecke_orbit_code': 58547413664663142, 'n': 10, 'trace_an': 0}
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id: 229896010
{'hecke_orbit_code': 58547413664663142, 'n': 11, 'trace_an': -2}
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id: 229896011
{'hecke_orbit_code': 58547413664663142, 'n': 12, 'trace_an': 0}
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id: 229896012
{'hecke_orbit_code': 58547413664663142, 'n': 13, 'trace_an': 4}
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id: 229896013
{'hecke_orbit_code': 58547413664663142, 'n': 14, 'trace_an': -2}
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id: 229896014
{'hecke_orbit_code': 58547413664663142, 'n': 15, 'trace_an': 0}
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id: 229896015
{'hecke_orbit_code': 58547413664663142, 'n': 16, 'trace_an': -2}
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id: 229896016
{'hecke_orbit_code': 58547413664663142, 'n': 17, 'trace_an': 2}
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id: 229896017
{'hecke_orbit_code': 58547413664663142, 'n': 18, 'trace_an': 0}
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id: 229896018
{'hecke_orbit_code': 58547413664663142, 'n': 19, 'trace_an': -6}
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id: 229896019
{'hecke_orbit_code': 58547413664663142, 'n': 20, 'trace_an': 0}
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id: 229896020
{'hecke_orbit_code': 58547413664663142, 'n': 21, 'trace_an': 0}
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id: 229896021
{'hecke_orbit_code': 58547413664663142, 'n': 22, 'trace_an': -4}
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id: 229896022
{'hecke_orbit_code': 58547413664663142, 'n': 23, 'trace_an': -4}
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id: 229896023
{'hecke_orbit_code': 58547413664663142, 'n': 24, 'trace_an': 0}
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id: 229896024
{'hecke_orbit_code': 58547413664663142, 'n': 25, 'trace_an': 6}
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id: 229896025
{'hecke_orbit_code': 58547413664663142, 'n': 26, 'trace_an': 2}
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id: 229896026
{'hecke_orbit_code': 58547413664663142, 'n': 27, 'trace_an': 0}
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id: 229896027
{'hecke_orbit_code': 58547413664663142, 'n': 28, 'trace_an': -4}
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id: 229896028
{'hecke_orbit_code': 58547413664663142, 'n': 29, 'trace_an': -20}
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id: 229896029
{'hecke_orbit_code': 58547413664663142, 'n': 30, 'trace_an': 0}
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id: 229896030
{'hecke_orbit_code': 58547413664663142, 'n': 31, 'trace_an': -8}
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id: 229896031
{'hecke_orbit_code': 58547413664663142, 'n': 32, 'trace_an': 2}
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id: 229896032
{'hecke_orbit_code': 58547413664663142, 'n': 33, 'trace_an': 0}
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id: 229896033
{'hecke_orbit_code': 58547413664663142, 'n': 34, 'trace_an': 4}
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id: 229896034
{'hecke_orbit_code': 58547413664663142, 'n': 35, 'trace_an': -12}
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id: 229896035
{'hecke_orbit_code': 58547413664663142, 'n': 36, 'trace_an': 0}
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id: 229896036
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