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{'Nk2': 10716, 'analytic_conductor': 21.391922701501016, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [19, -1], [47, -1]], 'atkin_lehner_string': '+--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2679, 1, [1787, 1693, 2167], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 7, 'field_disc': 2056629517, 'field_disc_factorization': [[163, 1], [12617359, 1]], 'field_poly': [1, 2, -13, 1, 16, -7, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 2, 13, 1, -16, -7, 2, 1]], [5, [-17, 46, -17, -38, 25, 5, -6, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307262071, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2679.2.a.k', 'level': 2679, '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': True, 'level_primes': [3, 19, 47], 'level_radical': 2679, 'minimal_twist': '2679.2.a.k', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{2}-q^{3}+(1+\\beta _{2})q^{4}+(1-\\beta _{5}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2679.2.a', 'trace_display': [-2, -7, 6, -3], 'trace_hash': 1705003762647700586, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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-
mf_newspaces • Show schema
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{'ALdims': [11, 24, 24, 11, 24, 11, 11, 23], 'Nk2': 10716, 'analytic_conductor': 21.391922701501016, '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': [2679, 1, [1787, 1693, 2167], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 317, 'dim': 139, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33557111, 'hecke_orbit_dims': [1, 1, 1, 1, 3, 3, 4, 4, 6, 7, 7, 7, 23, 23, 24, 24], 'label': '2679.2.a', 'level': 2679, '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': True, 'level_primes': [3, 19, 47], 'level_radical': 2679, 'mf_dim': 324, 'mf_new_dim': 139, 'num_forms': 16, 'plus_dim': 44, 'prim_orbit_index': 1, 'relative_dim': 139, 'sturm_bound': 640, 'trace_bound': 5, 'trace_display': [9, -1, 10, 8], 'traces': [139, 9, -1, 145, 10, 1, 8, 21, 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-156, 174, 144, -28, -14, 232, -6, 444, -58, 24, -60, -72, 192, 48, -120, 5, 76, 178, -19, 160, 256, -172, -112, 414, 46, -8, -64, 42, -102, -64, -142, 380, 430, 17, 148, -148, 40, 212, 400, -106, -64, 340, 4, -48, -1, 6, 72, 560, -64, -166, -224, 167, 220, 240, -80, -174, 228, 8, 212, -52, 26, 252, 16, -31, 24, -262, -132, -178, -288, -46, 200, -56, -76, 86, -344, 24, 38, 384, -48, -162, 238, 16, -25, 298, 32, -252, 208, -18, 30, 248, 118, -2, -126, 10, 72, 108, 48, 176, 76, 56, 244, 91, 74, -360, 62, -2, -272, 152, 56, 248, -96, -90, 547, 4, -12, -182, 44, 0, 104, -15, -10, 308, 340, -7, 72, -192, -242, 330, 94, 28, -208, 358, 26, -172, -168, -134, -156, -196, -8, -18, 96, -32, -88, 16, -100, 240, -168, 284, 250, 20, 26, -28], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47053580
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307262071, 'source_is_minimal': True, 'source_label': '2679.2.a.k.1.2', 'source_level': 2679, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307262071, 'target_is_minimal': True, 'target_label': '2679.2.a.k.1.2', 'target_level': 2679, 'twist_class_label': '2679.2.a.k.1.2', 'twist_class_level': 2679, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47053581
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 7, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307262071, 'source_is_minimal': True, 'source_label': '2679.2.a.k.1.2', 'source_level': 2679, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40532396679896933, 'target_is_minimal': False, 'target_label': '8037.2.a.j.1.6', 'target_level': 8037, 'twist_class_label': '2679.2.a.k.1.2', 'twist_class_level': 2679, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2790925
{'charpoly_factorization': [[[-1, 2, 13, 1, -16, -7, 2, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 2}
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id: 2790926
{'charpoly_factorization': [[[1, 1], 7]], 'hecke_orbit_code': 45035996307262071, 'p': 3}
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id: 2790927
{'charpoly_factorization': [[[-17, 46, -17, -38, 25, 5, -6, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 5}
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id: 2790928
{'charpoly_factorization': [[[1, 16, 36, 1, -39, -12, 3, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 7}
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id: 2790929
{'charpoly_factorization': [[[23, 84, -16, -161, -58, 15, 9, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 11}
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id: 2790930
{'charpoly_factorization': [[[175, 179, -100, -179, -53, 12, 8, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 13}
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id: 2790931
{'charpoly_factorization': [[[35, 222, 66, -333, 155, -8, -7, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 17}
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id: 2790932
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 45035996307262071, 'p': 19}
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id: 2790933
{'charpoly_factorization': [[[-103, 172, 245, -187, -213, -34, 7, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 23}
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id: 2790934
{'charpoly_factorization': [[[27175, 56509, 27770, -693, -1329, -82, 12, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 29}
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id: 2790935
{'charpoly_factorization': [[[-1657, -9699, 5950, 680, -578, -30, 13, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 31}
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id: 2790936
{'charpoly_factorization': [[[18536, 14880, -874, -3485, -964, -53, 10, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 37}
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id: 2790937
{'charpoly_factorization': [[[1, 5864, 3067, -1249, -852, -89, 8, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 41}
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id: 2790938
{'charpoly_factorization': [[[45367, 11934, -11123, -734, 799, -39, -12, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 43}
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id: 2790939
{'charpoly_factorization': [[[-1, 1], 7]], 'hecke_orbit_code': 45035996307262071, 'p': 47}
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id: 2790940
{'charpoly_factorization': [[[24841, 39607, 6807, -3030, -760, 28, 17, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 53}
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id: 2790941
{'charpoly_factorization': [[[2744, 3780, -2360, -1187, 621, -30, -12, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 59}
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id: 2790942
{'charpoly_factorization': [[[-279209, 100577, 42901, -5964, -1956, 30, 23, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 61}
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id: 2790943
{'charpoly_factorization': [[[113, -44019, 2210, 6144, 6, -153, -1, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 67}
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id: 2790944
{'charpoly_factorization': [[[-34264, -5988, 8416, 1699, -510, -129, 0, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 71}
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id: 2790945
{'charpoly_factorization': [[[7, -171, 417, 1482, 1154, 290, 29, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 73}
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id: 2790946
{'charpoly_factorization': [[[881912, -69524, -156864, 31629, 462, -338, 3, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 79}
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id: 2790947
{'charpoly_factorization': [[[135400, -88644, -63836, 2887, 2858, -138, -19, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 83}
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id: 2790948
{'charpoly_factorization': [[[-1841, -9799, 7568, 533, -647, -24, 14, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 89}
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id: 2790949
{'charpoly_factorization': [[[2209, 658, -3006, -2053, -289, 62, 17, 1], 1]], 'hecke_orbit_code': 45035996307262071, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '2679.2.a.k', 'level': 2679, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 54292723
{'hecke_orbit_code': 45035996307262071, 'n': 1, 'trace_an': 7}
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id: 54292724
{'hecke_orbit_code': 45035996307262071, 'n': 2, 'trace_an': -2}
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id: 54292725
{'hecke_orbit_code': 45035996307262071, 'n': 3, 'trace_an': -7}
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id: 54292726
{'hecke_orbit_code': 45035996307262071, 'n': 4, 'trace_an': 4}
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id: 54292727
{'hecke_orbit_code': 45035996307262071, 'n': 5, 'trace_an': 6}
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id: 54292728
{'hecke_orbit_code': 45035996307262071, 'n': 6, 'trace_an': 2}
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id: 54292729
{'hecke_orbit_code': 45035996307262071, 'n': 7, 'trace_an': -3}
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id: 54292730
{'hecke_orbit_code': 45035996307262071, 'n': 8, 'trace_an': 6}
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id: 54292731
{'hecke_orbit_code': 45035996307262071, 'n': 9, 'trace_an': 7}
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