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{'Nk2': 16320, 'analytic_conductor': 32.5789640246824, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [4080, 2, [511, 3061, 1361, 817, 241], [2, 2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 3841, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [4, 0, 1]], [11, [0, 1]], [13, [2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511279952007152, 'hecke_ring_generator_nbound': 3, '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, 17, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4080.2.h.d', 'level': 4080, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '2040.2.h.d', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+i q^{3}+i q^{5}+2 i q^{7}-q^{9}-2 q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4080.2.h', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1153132197922189689, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.920', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.383', 'prec': 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mf_hecke_nf • Show schema
Hide schema
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[1361, [1, 0]], [817, [1, 0]], [241, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4080.2.h.d', 'level': 4080, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 16320, 'analytic_conductor': 32.5789640246824, 'char_conductor': 17, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [4080, 2, [511, 3061, 1361, 817, 241], [2, 2, 2, 2, 1]], 'conrey_index': 3841, 'cusp_dim': 840, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13], 'hecke_orbit_code': 481069895664, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 6, 8, 10], 'label': '4080.2.h', 'level': 4080, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 17], 'level_radical': 510, 'mf_dim': 888, 'mf_new_dim': 72, 'num_forms': 20, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 1728, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, -4, 0, 0, 0, 8, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 48, 0, -72, 0, -4, 0, -32, 0, 16, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, -24, 0, -16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 72, 0, 48, 0, 8, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 32, 0, -88, 0, 24, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, -8, 0, 0, 0, 32, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, -8, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 8, 0, 0, 0, -128, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 64, 0, -16, 0, -56, 0, 72, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -176, 0, 32, 0, 0, 0, -32, 0, 232, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 160, 0, -24, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, -32, 0, -192, 0, 0, 0, -16, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, -56, 0, 112, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 24, 0, 64, 0, -176, 0, 8, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -128, 0, 4, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -24, 0, 48, 0, 32, 0, 32, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 144, 0, 64, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 256, 0, -48, 0, 0, 0, 64, 0, 96, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 72, 0, 96, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, -128, 0, -48, 0, 4, 0, -176, 0, -40, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, -8, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, -96, 0, -80, 0, -16, 0, -128, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 112, 0, -56, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -168, 0, 0, 0, -32, 0, -8, 0, 80, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -160, 0, -304, 0, -32, 0, 256, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, -72, 0, 0, 0, 0, 0, 0, 0, 368, 0, 0, 0, 8, 0, 96, 0, 8, 0, 32, 0, -112, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 72, 0, 48, 0, 96, 0, 120, 0, -48, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -256, 0, 112, 0, 24, 0, 0, 0, 192, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -32, 0, 48, 0, 80, 0, -120, 0, -80, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -224, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 72, 0, -72, 0, -128, 0, 0, 0, 36, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -48, 0, -96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 224, 0, 336, 0, -8, 0, -384, 0, 64, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 112, 0, 24, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -24, 0, 64, 0, 72, 0, 0, 0, -80, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 96, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, -72, 0, -160, 0, 144, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, -160, 0, -32, 0, 96, 0, -304, 0, -464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -32, 0, 64, 0, 32, 0, 176, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -256, 0, -72, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -368, 0, 64, 0, 16, 0, 176, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 200, 0, 224, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 16, 0, 296, 0, 80, 0, 320, 0, 256, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -64, 0, -80, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1187856
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '4080.2.h.d', 'source_level': 4080, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2040.2.h.d', 'target_level': 2040, 'twist_class_label': '2040.2.h.d', 'twist_class_level': 2040, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1187857
{'conductor': 68, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '4080.2.h.d', 'source_level': 4080, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '2040.2.h.d', 'target_level': 2040, 'twist_class_label': '2040.2.h.d', 'twist_class_level': 2040, 'twisting_char_label': '68.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1187858
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '4080.2.h.d', 'source_level': 4080, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4080.2.h.d', 'target_level': 4080, 'twist_class_label': '2040.2.h.d', 'twist_class_level': 2040, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1187859
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '4080.2.h.d', 'source_level': 4080, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '4080.2.h.d', 'target_level': 4080, 'twist_class_label': '2040.2.h.d', 'twist_class_level': 2040, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1187860
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '4080.2.h.d', 'source_level': 4080, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6120.2.h.f', 'target_level': 6120, 'twist_class_label': '2040.2.h.d', 'twist_class_level': 2040, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1187861
{'conductor': 204, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '4080.2.h.d', 'source_level': 4080, 'target_char_orbit': 8, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '6120.2.h.f', 'target_level': 6120, 'twist_class_label': '2040.2.h.d', 'twist_class_level': 2040, 'twisting_char_label': '204.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3492150
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 2}
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id: 3492151
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 3}
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id: 3492152
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 5}
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id: 3492153
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 7}
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id: 3492154
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 11}
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id: 3492155
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 13}
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id: 3492156
{'charpoly_factorization': [[[17, 2, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 17}
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id: 3492157
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 19}
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id: 3492158
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 23}
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id: 3492159
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 29}
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id: 3492160
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 31}
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id: 3492161
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 37}
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id: 3492162
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 41}
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id: 3492163
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 43}
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id: 3492164
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 47}
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id: 3492165
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 53}
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id: 3492166
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 59}
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id: 3492167
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 61}
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id: 3492168
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 67}
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id: 3492169
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 71}
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id: 3492170
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 73}
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id: 3492171
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 79}
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id: 3492172
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 83}
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id: 3492173
{'charpoly_factorization': [[[14, 1], 2]], 'hecke_orbit_code': 13511279952007152, 'p': 89}
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id: 3492174
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 13511279952007152, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 4, 'label': '4080.2.h.d', 'level': 4080, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 36904039
{'hecke_orbit_code': 13511279952007152, 'n': 1, 'trace_an': 2}
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id: 36904040
{'hecke_orbit_code': 13511279952007152, 'n': 2, 'trace_an': 0}
-
id: 36904041
{'hecke_orbit_code': 13511279952007152, 'n': 3, 'trace_an': 0}
-
id: 36904042
{'hecke_orbit_code': 13511279952007152, 'n': 4, 'trace_an': 0}
-
id: 36904043
{'hecke_orbit_code': 13511279952007152, 'n': 5, 'trace_an': 0}
-
id: 36904044
{'hecke_orbit_code': 13511279952007152, 'n': 6, 'trace_an': 0}
-
id: 36904045
{'hecke_orbit_code': 13511279952007152, 'n': 7, 'trace_an': 0}
-
id: 36904046
{'hecke_orbit_code': 13511279952007152, 'n': 8, 'trace_an': 0}
-
id: 36904047
{'hecke_orbit_code': 13511279952007152, 'n': 9, 'trace_an': -2}
-
id: 36904048
{'hecke_orbit_code': 13511279952007152, 'n': 10, 'trace_an': 0}
-
id: 36904049
{'hecke_orbit_code': 13511279952007152, 'n': 11, 'trace_an': 0}
-
id: 36904050
{'hecke_orbit_code': 13511279952007152, 'n': 12, 'trace_an': 0}
-
id: 36904051
{'hecke_orbit_code': 13511279952007152, 'n': 13, 'trace_an': -4}
-
id: 36904052
{'hecke_orbit_code': 13511279952007152, 'n': 14, 'trace_an': 0}
-
id: 36904053
{'hecke_orbit_code': 13511279952007152, 'n': 15, 'trace_an': -2}
-
id: 36904054
{'hecke_orbit_code': 13511279952007152, 'n': 16, 'trace_an': 0}
-
id: 36904055
{'hecke_orbit_code': 13511279952007152, 'n': 17, 'trace_an': -2}
-
id: 36904056
{'hecke_orbit_code': 13511279952007152, 'n': 18, 'trace_an': 0}
-
id: 36904057
{'hecke_orbit_code': 13511279952007152, 'n': 19, 'trace_an': -16}
-
id: 36904058
{'hecke_orbit_code': 13511279952007152, 'n': 20, 'trace_an': 0}
-
id: 36904059
{'hecke_orbit_code': 13511279952007152, 'n': 21, 'trace_an': -4}
-
id: 36904060
{'hecke_orbit_code': 13511279952007152, 'n': 22, 'trace_an': 0}
-
id: 36904061
{'hecke_orbit_code': 13511279952007152, 'n': 23, 'trace_an': 0}
-
id: 36904062
{'hecke_orbit_code': 13511279952007152, 'n': 24, 'trace_an': 0}
-
id: 36904063
{'hecke_orbit_code': 13511279952007152, 'n': 25, 'trace_an': -2}
-
id: 36904064
{'hecke_orbit_code': 13511279952007152, 'n': 26, 'trace_an': 0}
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id: 36904065
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