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{'Nk2': 21504, 'analytic_conductor': 42.92757612664033, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [5376, 2, [2815, 5125, 1793, 4609], [2, 1, 2, 2]], 'cm_discs': [], 'conrey_index': 2689, 'conrey_indexes': [2689], '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': [[5, [12, 0, 1]], [11, [64, 0, 32, 0, 1]], [13, [4, 0, 1]], [17, [4, -8, 1]], [23, [-8, -4, 1]], [31, [-32, -8, 1]], [47, [-32, 8, 1]], [71, [24, -12, 1]], [79, [-32, -8, 1]]], 'hecke_orbit': 34, 'hecke_orbit_code': 148618925175739648, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5376.2.c.bh', 'level': 5376, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '672.2.a.i', 'nf_label': '4.0.144.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\zeta_{12}q^{3}-\\zeta_{12}^{2}q^{5}-q^{7}-q^{9}+(-2\\zeta_{12}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5376.2.c', 'trace_display': [0, 0, 0, -4], 'trace_hash': 2296817799920955484, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.999', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 21504, 'analytic_conductor': 42.92757612664033, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [5376, 2, [2815, 5125, 1793, 4609], [2, 1, 2, 2]], 'conrey_index': 2689, 'cusp_dim': 976, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17, 23, 31, 47, 71, 79], 'hecke_orbit_code': 137472513280, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '5376.2.c', 'level': 5376, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 1072, 'mf_new_dim': 96, 'num_forms': 40, 'prim_orbit_index': 2, 'relative_dim': 96, 'sturm_bound': 2048, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 48821761
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 2689, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618925175739648, 'target_is_minimal': False, 'target_label': '5376.2.c.bh.2689.1', 'target_level': 5376, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48821762
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 2689, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 175640522939962624, 'target_is_minimal': False, 'target_label': '5376.2.c.bn.2689.3', 'target_level': 5376, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48821763
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 2689, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 175640522939962624, 'target_is_minimal': False, 'target_label': '5376.2.c.bn.2689.2', 'target_level': 5376, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48821764
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 2689, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 148618925175739648, 'target_is_minimal': False, 'target_label': '5376.2.c.bh.2689.4', 'target_level': 5376, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48821765
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580965696, 'target_is_minimal': False, 'target_label': '1344.2.a.u.1.1', 'target_level': 1344, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48821766
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052519072, 'target_is_minimal': True, 'target_label': '672.2.a.i.1.2', 'target_level': 672, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48821767
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679889568, 'target_is_minimal': True, 'target_label': '672.2.a.j.1.2', 'target_level': 672, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48821768
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208336192, 'target_is_minimal': False, 'target_label': '1344.2.a.v.1.1', 'target_level': 1344, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48821769
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953595872, 'target_is_minimal': False, 'target_label': '2016.2.a.t.1.1', 'target_level': 2016, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48821770
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326225376, 'target_is_minimal': False, 'target_label': '2016.2.a.s.1.1', 'target_level': 2016, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48821771
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637860288, 'target_is_minimal': False, 'target_label': '4032.2.a.bs.1.2', 'target_level': 4032, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48821772
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 193654784010489792, 'target_is_minimal': False, 'target_label': '4032.2.a.br.1.2', 'target_level': 4032, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 48821773
{'conductor': 112, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 414331165751649472, 'target_is_minimal': False, 'target_label': '9408.2.a.do.1.2', 'target_level': 9408, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '112.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48821774
{'conductor': 112, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873637984, 'target_is_minimal': False, 'target_label': '4704.2.a.bm.1.1', 'target_level': 4704, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '112.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 48821775
{'conductor': 112, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501008480, 'target_is_minimal': False, 'target_label': '4704.2.a.bn.1.1', 'target_level': 4704, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '112.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 48821776
{'conductor': 112, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 2689, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 148618925175739648, 'source_is_minimal': False, 'source_label': '5376.2.c.bh.2689.1', 'source_level': 5376, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 454863562397983936, 'target_is_minimal': False, 'target_label': '9408.2.a.dx.1.2', 'target_level': 9408, 'twist_class_label': '672.2.a.i.1.2', 'twist_class_level': 672, 'twisting_char_label': '112.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3878250
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 148618925175739648, 'p': 2}
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id: 3878251
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 3}
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id: 3878252
{'charpoly_factorization': [[[12, 0, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 5}
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id: 3878253
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 148618925175739648, 'p': 7}
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id: 3878254
{'charpoly_factorization': [[[64, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 148618925175739648, 'p': 11}
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id: 3878255
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 13}
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id: 3878256
{'charpoly_factorization': [[[4, -8, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 17}
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id: 3878257
{'charpoly_factorization': [[[48, 0, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 19}
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id: 3878258
{'charpoly_factorization': [[[-8, -4, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 23}
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id: 3878259
{'charpoly_factorization': [[[1936, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 148618925175739648, 'p': 29}
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id: 3878260
{'charpoly_factorization': [[[-32, -8, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 31}
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id: 3878261
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 37}
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id: 3878262
{'charpoly_factorization': [[[52, 16, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 41}
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id: 3878263
{'charpoly_factorization': [[[64, 0, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 43}
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id: 3878264
{'charpoly_factorization': [[[-32, 8, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 47}
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id: 3878265
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 53}
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id: 3878266
{'charpoly_factorization': [[[256, 0, 224, 0, 1], 1]], 'hecke_orbit_code': 148618925175739648, 'p': 59}
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id: 3878267
{'charpoly_factorization': [[[1936, 0, 104, 0, 1], 1]], 'hecke_orbit_code': 148618925175739648, 'p': 61}
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id: 3878268
{'charpoly_factorization': [[[1024, 0, 128, 0, 1], 1]], 'hecke_orbit_code': 148618925175739648, 'p': 67}
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id: 3878269
{'charpoly_factorization': [[[24, -12, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 71}
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id: 3878270
{'charpoly_factorization': [[[-12, 12, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 73}
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id: 3878271
{'charpoly_factorization': [[[-32, -8, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 79}
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id: 3878272
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 83}
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id: 3878273
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 89}
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id: 3878274
{'charpoly_factorization': [[[-44, 4, 1], 2]], 'hecke_orbit_code': 148618925175739648, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 34, 'label': '5376.2.c.bh', 'level': 5376, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 269270000
{'hecke_orbit_code': 148618925175739648, 'n': 1, 'trace_an': 4}
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id: 269270001
{'hecke_orbit_code': 148618925175739648, 'n': 2, 'trace_an': 0}
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id: 269270002
{'hecke_orbit_code': 148618925175739648, 'n': 3, 'trace_an': 0}
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id: 269270003
{'hecke_orbit_code': 148618925175739648, 'n': 4, 'trace_an': 0}
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id: 269270004
{'hecke_orbit_code': 148618925175739648, 'n': 5, 'trace_an': 0}
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id: 269270005
{'hecke_orbit_code': 148618925175739648, 'n': 6, 'trace_an': 0}
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id: 269270006
{'hecke_orbit_code': 148618925175739648, 'n': 7, 'trace_an': -4}
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id: 269270007
{'hecke_orbit_code': 148618925175739648, 'n': 8, 'trace_an': 0}
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id: 269270008
{'hecke_orbit_code': 148618925175739648, 'n': 9, 'trace_an': -4}
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id: 269270009
{'hecke_orbit_code': 148618925175739648, 'n': 10, 'trace_an': 0}
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id: 269270010
{'hecke_orbit_code': 148618925175739648, 'n': 11, 'trace_an': 0}
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id: 269270011
{'hecke_orbit_code': 148618925175739648, 'n': 12, 'trace_an': 0}
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id: 269270012
{'hecke_orbit_code': 148618925175739648, 'n': 13, 'trace_an': 0}
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id: 269270013
{'hecke_orbit_code': 148618925175739648, 'n': 14, 'trace_an': 0}
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id: 269270014
{'hecke_orbit_code': 148618925175739648, 'n': 15, 'trace_an': 0}
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id: 269270015
{'hecke_orbit_code': 148618925175739648, 'n': 16, 'trace_an': 0}
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id: 269270016
{'hecke_orbit_code': 148618925175739648, 'n': 17, 'trace_an': 16}
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id: 269270017
{'hecke_orbit_code': 148618925175739648, 'n': 18, 'trace_an': 0}
-
id: 269270018
{'hecke_orbit_code': 148618925175739648, 'n': 19, 'trace_an': 0}
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id: 269270019
{'hecke_orbit_code': 148618925175739648, 'n': 20, 'trace_an': 0}
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id: 269270020
{'hecke_orbit_code': 148618925175739648, 'n': 21, 'trace_an': 0}
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id: 269270021
{'hecke_orbit_code': 148618925175739648, 'n': 22, 'trace_an': 0}
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id: 269270022
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