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mf_newforms • Show schema
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{'Nk2': 4680, 'analytic_conductor': 9.342497036489805, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 45, 'char_orbit_label': 'bs', 'char_order': 6, 'char_parity': 1, 'char_values': [1170, 6, [911, 937, 1081], [6, 6, 5]], 'cm_discs': [], 'conrey_index': 361, 'conrey_indexes': [361, 901], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [81, 0, -9, 0, 1]], [11, [1, 6, 11, -6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13513822572643474, '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, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1170.2.bs.d', 'level': 1170, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '390.2.bb.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\zeta_{12}+\\zeta_{12}^{3})q^{2}+(1-\\zeta_{12}^{2})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1170.2.bs', 'trace_display': [0, 0, 0, 0], 'trace_hash': 364110677216249373, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.062', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.652', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.099', 'prec': 17}, {'__RealLiteral__': 0, 'data': '47.838', 'prec': 20}, {'__RealLiteral__': 0, 'data': '27.568', 'prec': 20}, 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mf_hecke_nf • Show schema
Hide schema
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'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '1170.2.bs.d', 'level': 1170, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4680, 'analytic_conductor': 9.342497036489805, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 45, 'char_orbit_label': 'bs', 'char_order': 6, 'char_parity': 1, 'char_values': [1170, 6, [911, 937, 1081], [6, 6, 5]], 'conrey_index': 361, 'cusp_dim': 472, 'dim': 44, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 3023690531986, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 8, 8, 8], 'label': '1170.2.bs', 'level': 1170, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 536, 'mf_new_dim': 44, 'num_forms': 8, 'prim_orbit_index': 5, 'relative_dim': 22, 'sturm_bound': 504, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [44, 0, 0, 22, 0, 0, 0, 0, 0, 2, -6, 0, 12, -12, 0, -22, -16, 0, -18, 0, 0, 0, 0, 0, -44, 16, 0, 0, -4, 0, 0, 0, 0, 0, 2, 0, 36, 24, 0, 4, 24, 0, 0, 0, 0, -12, 0, 0, 28, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 664399
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '390.2.bb.a', 'target_level': 390, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 664400
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '390.2.bb.a', 'target_level': 390, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 664401
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 45, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1170.2.bs.d', 'target_level': 1170, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 664402
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 45, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1170.2.bs.d', 'target_level': 1170, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 664403
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.y.d', 'target_level': 1950, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 664404
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.y.d', 'target_level': 1950, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '195.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 664405
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1950.2.y.e', 'target_level': 1950, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 664406
{'conductor': 195, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1950.2.y.e', 'target_level': 1950, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '195.bf', 'twisting_char_orbit': 32, 'weight': 2}
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id: 664407
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1950.2.bc.a', 'target_level': 1950, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 664408
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 29, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1950.2.bc.a', 'target_level': 1950, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '195.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 664409
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '5070.2.a.ba', 'target_level': 5070, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 664410
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '5070.2.a.be', 'target_level': 5070, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 664411
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5070.2.b.p', 'target_level': 5070, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 664412
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 45, 'source_dim': 4, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1170.2.bs.d', 'source_level': 1170, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5070.2.b.p', 'target_level': 5070, 'twist_class_label': '390.2.bb.a', 'twist_class_level': 390, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1741250
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 2}
-
id: 1741251
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 13513822572643474, 'p': 3}
-
id: 1741252
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 13513822572643474, 'p': 5}
-
id: 1741253
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 7}
-
id: 1741254
{'charpoly_factorization': [[[1, 6, 11, -6, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 11}
-
id: 1741255
{'charpoly_factorization': [[[169, 0, 23, 0, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 13}
-
id: 1741256
{'charpoly_factorization': [[[16, -4, 1], 2]], 'hecke_orbit_code': 13513822572643474, 'p': 17}
-
id: 1741257
{'charpoly_factorization': [[[169, 78, -1, -6, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 19}
-
id: 1741258
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 23}
-
id: 1741259
{'charpoly_factorization': [[[64, -32, 24, 4, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 29}
-
id: 1741260
{'charpoly_factorization': [[[1936, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 31}
-
id: 1741261
{'charpoly_factorization': [[[2209, 1128, 239, 24, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 37}
-
id: 1741262
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 41}
-
id: 1741263
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 13513822572643474, 'p': 43}
-
id: 1741264
{'charpoly_factorization': [[[9, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 47}
-
id: 1741265
{'charpoly_factorization': [[[1, -4, 1], 2]], 'hecke_orbit_code': 13513822572643474, 'p': 53}
-
id: 1741266
{'charpoly_factorization': [[[2704, 624, -4, -12, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 59}
-
id: 1741267
{'charpoly_factorization': [[[16, -32, 60, -8, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 61}
-
id: 1741268
{'charpoly_factorization': [[[64, -96, 56, -12, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 67}
-
id: 1741269
{'charpoly_factorization': [[[144, -288, 204, -24, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 71}
-
id: 1741270
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 13513822572643474, 'p': 73}
-
id: 1741271
{'charpoly_factorization': [[[52, -20, 1], 2]], 'hecke_orbit_code': 13513822572643474, 'p': 79}
-
id: 1741272
{'charpoly_factorization': [[[576, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 83}
-
id: 1741273
{'charpoly_factorization': [[[20449, -6006, 731, -42, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 89}
-
id: 1741274
{'charpoly_factorization': [[[10816, -3744, 536, -36, 1], 1]], 'hecke_orbit_code': 13513822572643474, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 45, 'hecke_orbit': 4, 'label': '1170.2.bs.d', 'level': 1170, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 146345000
{'hecke_orbit_code': 13513822572643474, 'n': 1, 'trace_an': 4}
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id: 146345001
{'hecke_orbit_code': 13513822572643474, 'n': 2, 'trace_an': 0}
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id: 146345002
{'hecke_orbit_code': 13513822572643474, 'n': 3, 'trace_an': 0}
-
id: 146345003
{'hecke_orbit_code': 13513822572643474, 'n': 4, 'trace_an': 2}
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id: 146345004
{'hecke_orbit_code': 13513822572643474, 'n': 5, 'trace_an': 0}
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id: 146345005
{'hecke_orbit_code': 13513822572643474, 'n': 6, 'trace_an': 0}
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id: 146345006
{'hecke_orbit_code': 13513822572643474, 'n': 7, 'trace_an': 0}
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id: 146345007
{'hecke_orbit_code': 13513822572643474, 'n': 8, 'trace_an': 0}
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id: 146345008
{'hecke_orbit_code': 13513822572643474, 'n': 9, 'trace_an': 0}
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id: 146345009
{'hecke_orbit_code': 13513822572643474, 'n': 10, 'trace_an': -2}
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id: 146345010
{'hecke_orbit_code': 13513822572643474, 'n': 11, 'trace_an': 6}
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id: 146345011
{'hecke_orbit_code': 13513822572643474, 'n': 12, 'trace_an': 0}
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id: 146345012
{'hecke_orbit_code': 13513822572643474, 'n': 13, 'trace_an': 0}
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id: 146345013
{'hecke_orbit_code': 13513822572643474, 'n': 14, 'trace_an': -12}
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id: 146345014
{'hecke_orbit_code': 13513822572643474, 'n': 15, 'trace_an': 0}
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id: 146345015
{'hecke_orbit_code': 13513822572643474, 'n': 16, 'trace_an': -2}
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id: 146345016
{'hecke_orbit_code': 13513822572643474, 'n': 17, 'trace_an': 8}
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id: 146345017
{'hecke_orbit_code': 13513822572643474, 'n': 18, 'trace_an': 0}
-
id: 146345018
{'hecke_orbit_code': 13513822572643474, 'n': 19, 'trace_an': 6}
-
id: 146345019
{'hecke_orbit_code': 13513822572643474, 'n': 20, 'trace_an': 0}
-
id: 146345020
{'hecke_orbit_code': 13513822572643474, 'n': 21, 'trace_an': 0}
-
id: 146345021
{'hecke_orbit_code': 13513822572643474, 'n': 22, 'trace_an': 4}
-
id: 146345022
{'hecke_orbit_code': 13513822572643474, 'n': 23, 'trace_an': 0}
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id: 146345023
{'hecke_orbit_code': 13513822572643474, 'n': 24, 'trace_an': 0}
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id: 146345024
{'hecke_orbit_code': 13513822572643474, 'n': 25, 'trace_an': -4}
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id: 146345025
{'hecke_orbit_code': 13513822572643474, 'n': 26, 'trace_an': 4}
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{'hecke_orbit_code': 13513822572643474, 'n': 996, 'trace_an': 0}
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id: 146345996
{'hecke_orbit_code': 13513822572643474, 'n': 997, 'trace_an': -72}
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id: 146345997
{'hecke_orbit_code': 13513822572643474, 'n': 998, 'trace_an': -32}
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id: 146345998
{'hecke_orbit_code': 13513822572643474, 'n': 999, 'trace_an': 0}
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id: 146345999
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