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{'Nk2': 12288, 'analytic_conductor': 24.530043500937335, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3072, 1, [2047, 2053, 1025], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [1, 0, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 24, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, 0, -16, 0, 1]], [7, [-6, 0, 1]], [11, [-8, 4, 1]], [19, [4, 8, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934632960, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -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': '3072.2.a.l', 'level': 3072, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '768.2.j.e', 'nf_label': '4.4.2304.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+(\\beta _{1}+\\beta _{2})q^{5}+\\beta _{2}q^{7}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3072.2.a', 'trace_display': [0, -4, 0, 0], 'trace_hash': 1547844393016707570, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.711', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 12, 4], [[[2, 1], [3, -1]], 20, 6], [[[2, -1], [3, 1]], 16, 5], [[[2, 1], [3, 1]], 16, 5]], 'ALdims': [16, 20, 16, 12], 'Nk2': 12288, 'analytic_conductor': 24.530043500937335, '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': [3072, 1, [2047, 2053, 1025], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 465, 'dim': 64, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 19], 'hecke_orbit_code': 33557504, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '3072.2.a', 'level': 3072, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 560, 'mf_new_dim': 64, 'num_forms': 20, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 64, 'sturm_bound': 1024, 'trace_bound': 17, 'trace_display': 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mf_twists_nf • Show schema
Hide schema
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id: 1044143
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '768.2.j.e', 'target_level': 768, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1044144
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '768.2.j.e', 'target_level': 768, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1044145
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '768.2.j.f', 'target_level': 768, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1044146
{'conductor': 32, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '768.2.j.f', 'target_level': 768, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1044147
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2304.2.k.e', 'target_level': 2304, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '96.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1044148
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2304.2.k.e', 'target_level': 2304, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1044149
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2304.2.k.l', 'target_level': 2304, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '96.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 1044150
{'conductor': 96, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 11, 'target_dim': 8, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2304.2.k.l', 'target_level': 2304, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1044151
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3072.2.a.l', 'target_level': 3072, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1044152
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3072.2.a.l', 'target_level': 3072, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1044153
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3072.2.a.r', 'target_level': 3072, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1044154
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3072.2.a.r', 'target_level': 3072, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1044155
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3072.2.d.h', 'target_level': 3072, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1044156
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3072.2.d.h', 'target_level': 3072, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1044157
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '9216.2.a.bc', 'target_level': 9216, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1044158
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '9216.2.a.bc', 'target_level': 9216, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1044159
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '9216.2.a.bi', 'target_level': 9216, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1044160
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '3072.2.a.l', 'source_level': 3072, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '9216.2.a.bi', 'target_level': 9216, 'twist_class_label': '768.2.j.e', 'twist_class_level': 768, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2992150
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539595934632960, 'p': 2}
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id: 2992151
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 49539595934632960, 'p': 3}
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id: 2992152
{'charpoly_factorization': [[[16, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 49539595934632960, 'p': 5}
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id: 2992153
{'charpoly_factorization': [[[-6, 0, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 7}
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id: 2992154
{'charpoly_factorization': [[[-8, 4, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 11}
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id: 2992155
{'charpoly_factorization': [[[-18, 0, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 13}
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id: 2992156
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 17}
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id: 2992157
{'charpoly_factorization': [[[4, 8, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 19}
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id: 2992158
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 23}
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id: 2992159
{'charpoly_factorization': [[[2704, 0, -112, 0, 1], 1]], 'hecke_orbit_code': 49539595934632960, 'p': 29}
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id: 2992160
{'charpoly_factorization': [[[-54, 0, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 31}
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id: 2992161
{'charpoly_factorization': [[[36, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 49539595934632960, 'p': 37}
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id: 2992162
{'charpoly_factorization': [[[52, -16, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 41}
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id: 2992163
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 43}
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id: 2992164
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 47}
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id: 2992165
{'charpoly_factorization': [[[1936, 0, -112, 0, 1], 1]], 'hecke_orbit_code': 49539595934632960, 'p': 53}
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id: 2992166
{'charpoly_factorization': [[[-192, 0, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 59}
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id: 2992167
{'charpoly_factorization': [[[36, 0, -84, 0, 1], 1]], 'hecke_orbit_code': 49539595934632960, 'p': 61}
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id: 2992168
{'charpoly_factorization': [[[16, 16, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 67}
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id: 2992169
{'charpoly_factorization': [[[10816, 0, -304, 0, 1], 1]], 'hecke_orbit_code': 49539595934632960, 'p': 71}
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id: 2992170
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 49539595934632960, 'p': 73}
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id: 2992171
{'charpoly_factorization': [[[-6, 0, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 79}
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id: 2992172
{'charpoly_factorization': [[[-8, 4, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 83}
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id: 2992173
{'charpoly_factorization': [[[-44, -4, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 89}
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id: 2992174
{'charpoly_factorization': [[[16, -16, 1], 2]], 'hecke_orbit_code': 49539595934632960, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '3072.2.a.l', 'level': 3072, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 216488000
{'hecke_orbit_code': 49539595934632960, 'n': 1, 'trace_an': 4}
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id: 216488001
{'hecke_orbit_code': 49539595934632960, 'n': 2, 'trace_an': 0}
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id: 216488002
{'hecke_orbit_code': 49539595934632960, 'n': 3, 'trace_an': -4}
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id: 216488003
{'hecke_orbit_code': 49539595934632960, 'n': 4, 'trace_an': 0}
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id: 216488004
{'hecke_orbit_code': 49539595934632960, 'n': 5, 'trace_an': 0}
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id: 216488005
{'hecke_orbit_code': 49539595934632960, 'n': 6, 'trace_an': 0}
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id: 216488006
{'hecke_orbit_code': 49539595934632960, 'n': 7, 'trace_an': 0}
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id: 216488007
{'hecke_orbit_code': 49539595934632960, 'n': 8, 'trace_an': 0}
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id: 216488008
{'hecke_orbit_code': 49539595934632960, 'n': 9, 'trace_an': 4}
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id: 216488009
{'hecke_orbit_code': 49539595934632960, 'n': 10, 'trace_an': 0}
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id: 216488010
{'hecke_orbit_code': 49539595934632960, 'n': 11, 'trace_an': -8}
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id: 216488011
{'hecke_orbit_code': 49539595934632960, 'n': 12, 'trace_an': 0}
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id: 216488012
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