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{'Nk2': 33124, 'analytic_conductor': 66.12411791382229, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, 1], [13, -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': [8281, 1, [1522, 3382], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 12, 'field_disc': 9612330547679760384, 'field_disc_factorization': [[2, 12], [3, 6], [11, 2], [163109, 2]], 'field_poly': [1, 0, -36, 0, 172, 0, -197, 0, 88, 0, -16, 0, 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': 1, 'hecke_cutters': [[2, [1, 0, -36, 0, 172, 0, -197, 0, 88, 0, -16, 0, 1]], [3, [7, -19, 4, 16, -5, -3, 1]], [5, [121, 0, -539, 0, 878, 0, -636, 0, 201, 0, -25, 0, 1]], [11, [85849, 0, -122593, 0, 61227, 0, -13284, 0, 1355, 0, -62, 0, 1]], [17, [19, 146, 56, -198, 96, -17, 1]]], 'hecke_orbit': 68, 'hecke_orbit_code': 301741175067385945, '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, 13, 2, 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': '8281.2.a.cp', 'level': 8281, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'minimal_twist': '91.2.k.b', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{3}q^{3}+(1-\\beta _{8}+\\beta _{9})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8281.2.a', 'trace_display': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, -1], [0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 1, 0, -1, 0, 0, 0, 0], [2, 0, -1, 1, 0, 0, -1, 0, 0, 0, 0, 0], [3, 0, 0, 1, 0, 0, 0, 0, -1, -1, 0, 0], [0, -1, 0, 0, -1, -1, 0, 0, 0, 0, -2, 1], [0, 1, 0, 0, -1, -1, 0, 0, 0, 0, 0, -1], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, -2, 0, 0, -1, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, -1, 0, 1, -2, 0, 0], [0, -1, 0, 0, 1, 1, 0, 1, 0, 0, 2, -1], [-1, 0, 0, 1, 0, 0, 0, 0, -1, -2, 0, 0], [0, 0, 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[-33, 0, -11, 10, 0, 0, -10, 0, 5, -20, 0, 0], [0, -6, 0, 0, -8, 16, 0, -25, 0, 0, 13, -12], [0, -15, 0, 0, -15, -3, 0, -3, 0, 0, -10, -4], [15, 0, -8, 12, 0, 0, 15, 0, 5, 4, 0, 0]], 'char_orbit_index': 1, 'field_poly': [1, 0, -36, 0, 172, 0, -197, 0, 88, 0, -16, 0, 1], 'hecke_orbit_code': 301741175067385945, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 11, 11, 11, 11, 11, 1, 11, 11, 11, 11], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0], [0, 5, 0, 0, 1, 1, 0, 1, 0, 0, 1, -1], [16, 0, -1, 1, 0, 0, -1, 0, -6, 6, 0, 0], [0, 29, 0, 0, 7, 8, 0, 8, 0, 0, 10, -9], [94, 0, -10, 6, 0, 0, -11, 0, -37, 35, 0, 0], [0, 176, 0, 0, 41, 58, 0, 57, 0, 0, 79, -67], [574, 0, -79, 25, 0, 0, -95, 0, -234, 205, 0, 0], [0, 1092, 0, 0, 230, 408, 0, 395, 0, 0, 582, -474], [3576, 0, -582, 65, 0, 0, -747, 0, -1500, 1214, 0, 0], [0, 6872, 0, 0, 1279, 2829, 0, 2708, 0, 0, 4158, -3290]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [32, 0, -248, 0, -127, 0, 242, 0, -66, 0, 5, 0], [27, 0, -223, 0, 360, 0, -209, 0, 44, 0, -3, 0], [0, 27, 0, -223, 0, 360, 0, -209, 0, 44, 0, -3], [0, -191, 0, 559, 0, -244, 0, -33, 0, 22, 0, -2], [-27, 0, 91, 0, 476, 0, -451, 0, 110, 0, -8, 0], [0, 12, 0, -76, 0, 60, 0, -14, 0, 1, 0, 0], [9, 0, 263, 0, -903, 0, 638, 0, -143, 0, 10, 0], [-24, 0, 274, 0, -903, 0, 638, 0, -143, 0, 10, 0], [0, 171, 0, -822, 0, 1147, 0, -605, 0, 121, 0, -8], [0, 194, 0, -1333, 0, 1923, 0, -1001, 0, 198, 0, -13]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '8281.2.a.cp', 'level': 8281, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[7, -1], [13, -1]], 123, 23], [[[7, -1], [13, 1]], 131, 33], [[[7, 1], [13, 1]], 118, 15], [[[7, 1], [13, -1]], 130, 7]], 'ALdims': [118, 130, 131, 123], 'Nk2': 33124, 'analytic_conductor': 66.12411791382229, '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': [8281, 1, [1522, 3382], [1, 1]], 'conrey_index': 1, 'cusp_dim': 793, 'dim': 502, 'eis_dim': 111, 'eis_new_dim': 55, 'hecke_cutter_primes': [2, 3, 5, 11, 17], 'hecke_orbit_code': 33562713, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 12, 12, 12, 12, 12, 12, 16, 24, 24, 24, 24, 32, 36, 36], 'label': '8281.2.a', 'level': 8281, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7, 13], 'level_radical': 91, 'mf_dim': 904, 'mf_new_dim': 557, 'num_forms': 78, 'plus_dim': 241, 'prim_orbit_index': 1, 'relative_dim': 502, 'sturm_bound': 1698, 'trace_bound': 17, 'trace_display': [0, -4, 2, 0], 'traces': [502, 0, -4, 472, 2, 0, 0, 12, 442, 6, -4, -4, 0, 0, -4, 416, 0, 4, -12, -2, 0, 14, 6, -4, 404, 0, 2, 0, 20, 58, -4, 44, -4, 2, 0, 354, 16, -20, 0, 14, 2, 0, 22, 28, 22, 8, 8, 46, 0, 40, 6, 0, 16, 48, 16, 0, 16, 40, 16, 0, -24, -10, 0, 318, 0, 26, 0, 90, -16, 0, -28, 40, -22, 70, -54, 16, 0, 0, 34, -38, 246, 52, 24, 0, 24, -52, 16, 42, 26, 28, 0, -140, 28, -2, 22, -4, -6, 0, 0, 280, 34, -72, -26, 0, 0, -36, -76, 12, 8, -92, 12, 0, 16, 28, 0, -10, 0, 56, 0, 142, 222, 18, 40, 4, 36, 0, 56, -52, 58, 0, 22, -8, 0, -32, -60, 30, -60, 68, 24, 0, -24, -18, 0, 260, 80, -4, 0, 92, 32, -4, 16, -68, -52, 0, 24, 0, 74, -76, 50, 50, 0, -56, 48, -18, 70, -126, -32, 0, 0, -36, -8, 54, -42, 12, 0, -12, -72, -40, 18, 54, 16, 0, 110, -56, -148, -236, -4, -52, 0, -44, 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mf_twists_nf • Show schema
Hide schema
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id: 1384682
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '91.2.k.b', 'target_level': 91, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '91.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 1384683
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '91.2.u.b', 'target_level': 91, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '91.bd', 'twisting_char_orbit': 30, 'weight': 2}
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id: 1384684
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '637.2.k.i', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '91.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 1384685
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 17, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '637.2.q.g', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1384686
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 17, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '637.2.q.i', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '91.bc', 'twisting_char_orbit': 29, 'weight': 2}
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id: 1384687
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '637.2.u.g', 'target_level': 637, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '91.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1384688
{'conductor': 273, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 39, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '819.2.bm.f', 'target_level': 819, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '273.bv', 'twisting_char_orbit': 48, 'weight': 2}
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id: 1384689
{'conductor': 273, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 93, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '819.2.do.e', 'target_level': 819, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '273.bw', 'twisting_char_orbit': 49, 'weight': 2}
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id: 1384690
{'conductor': 7, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 5, 'target_dim': 24, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1183.2.e.j', 'target_level': 1183, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1384691
{'conductor': 91, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 5, 'target_dim': 24, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1183.2.e.j', 'target_level': 1183, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '91.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 1384692
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '8281.2.a.co', 'target_level': 8281, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1384693
{'conductor': 91, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '8281.2.a.co', 'target_level': 8281, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '91.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1384694
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '8281.2.a.cp', 'target_level': 8281, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1384695
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 68, 'source_is_minimal': False, 'source_label': '8281.2.a.cp', 'source_level': 8281, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 68, 'target_is_minimal': False, 'target_label': '8281.2.a.cp', 'target_level': 8281, 'twist_class_label': '91.2.k.b', 'twist_class_level': 91, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4711450
{'charpoly_factorization': [[[1, 0, -36, 0, 172, 0, -197, 0, 88, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 2}
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id: 4711451
{'charpoly_factorization': [[[7, -19, 4, 16, -5, -3, 1], 2]], 'hecke_orbit_code': 301741175067385945, 'p': 3}
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id: 4711452
{'charpoly_factorization': [[[121, 0, -539, 0, 878, 0, -636, 0, 201, 0, -25, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 5}
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id: 4711453
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 301741175067385945, 'p': 7}
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id: 4711454
{'charpoly_factorization': [[[85849, 0, -122593, 0, 61227, 0, -13284, 0, 1355, 0, -62, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 11}
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id: 4711455
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 301741175067385945, 'p': 13}
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id: 4711456
{'charpoly_factorization': [[[19, 146, 56, -198, 96, -17, 1], 2]], 'hecke_orbit_code': 301741175067385945, 'p': 17}
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id: 4711457
{'charpoly_factorization': [[[1, 0, -474, 0, 13117, 0, -15833, 0, 1984, 0, -79, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 19}
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id: 4711458
{'charpoly_factorization': [[[793, -646, -185, 259, -50, -3, 1], 2]], 'hecke_orbit_code': 301741175067385945, 'p': 23}
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id: 4711459
{'charpoly_factorization': [[[4009, -5040, 1438, 190, -86, -1, 1], 2]], 'hecke_orbit_code': 301741175067385945, 'p': 29}
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id: 4711460
{'charpoly_factorization': [[[241274089, 0, -82568820, 0, 10607464, 0, -639617, 0, 18424, 0, -232, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 31}
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id: 4711461
{'charpoly_factorization': [[[123201, 0, -371790, 0, 363609, 0, -123741, 0, 7164, 0, -147, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 37}
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id: 4711462
{'charpoly_factorization': [[[389707081, 0, -501255685, 0, 58359667, 0, -2449760, 0, 44563, 0, -354, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 41}
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id: 4711463
{'charpoly_factorization': [[[20467, -7744, -1377, 816, -49, -11, 1], 2]], 'hecke_orbit_code': 301741175067385945, 'p': 43}
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id: 4711464
{'charpoly_factorization': [[[121, 0, -1243, 0, 2634, 0, -1968, 0, 509, 0, -41, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 47}
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id: 4711465
{'charpoly_factorization': [[[-17, -264, -611, 404, -38, -8, 1], 2]], 'hecke_orbit_code': 301741175067385945, 'p': 53}
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id: 4711466
{'charpoly_factorization': [[[35582408689, 0, -14985781851, 0, 693359866, 0, -13023632, 0, 120841, 0, -553, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 59}
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id: 4711467
{'charpoly_factorization': [[[1777, 4825, 1100, -354, -75, 5, 1], 2]], 'hecke_orbit_code': 301741175067385945, 'p': 61}
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id: 4711468
{'charpoly_factorization': [[[5708255809, 0, -1907282039, 0, 147600062, 0, -4680243, 0, 68286, 0, -439, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 67}
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id: 4711469
{'charpoly_factorization': [[[639230089, 0, -469455277, 0, 72145275, 0, -3845232, 0, 66611, 0, -446, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 71}
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id: 4711470
{'charpoly_factorization': [[[484396081, 0, -886799840, 0, 87039596, 0, -3205221, 0, 53832, 0, -400, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 73}
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id: 4711471
{'charpoly_factorization': [[[255121, 36737, -20673, 504, 344, -35, 1], 2]], 'hecke_orbit_code': 301741175067385945, 'p': 79}
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id: 4711472
{'charpoly_factorization': [[[402363481, 0, -194879694, 0, 33361345, 0, -2359793, 0, 59836, 0, -463, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 83}
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id: 4711473
{'charpoly_factorization': [[[145033849, 0, -107270948, 0, 24138686, 0, -1621338, 0, 42861, 0, -430, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 89}
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id: 4711474
{'charpoly_factorization': [[[1681, 0, -25106, 0, 125675, 0, -216876, 0, 29979, 0, -361, 0, 1], 1]], 'hecke_orbit_code': 301741175067385945, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 68, 'label': '8281.2.a.cp', 'level': 8281, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 280220000
{'hecke_orbit_code': 301741175067385945, 'n': 1, 'trace_an': 12}
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id: 280220001
{'hecke_orbit_code': 301741175067385945, 'n': 2, 'trace_an': 0}
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id: 280220002
{'hecke_orbit_code': 301741175067385945, 'n': 3, 'trace_an': 6}
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id: 280220003
{'hecke_orbit_code': 301741175067385945, 'n': 4, 'trace_an': 8}
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id: 280220004
{'hecke_orbit_code': 301741175067385945, 'n': 5, 'trace_an': 0}
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id: 280220005
{'hecke_orbit_code': 301741175067385945, 'n': 6, 'trace_an': 0}
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id: 280220006
{'hecke_orbit_code': 301741175067385945, 'n': 7, 'trace_an': 0}
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id: 280220007
{'hecke_orbit_code': 301741175067385945, 'n': 8, 'trace_an': 0}
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id: 280220008
{'hecke_orbit_code': 301741175067385945, 'n': 9, 'trace_an': 2}
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id: 280220009
{'hecke_orbit_code': 301741175067385945, 'n': 10, 'trace_an': 24}
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id: 280220010
{'hecke_orbit_code': 301741175067385945, 'n': 11, 'trace_an': 0}
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id: 280220011
{'hecke_orbit_code': 301741175067385945, 'n': 12, 'trace_an': -2}
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id: 280220012
{'hecke_orbit_code': 301741175067385945, 'n': 13, 'trace_an': 0}
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id: 280220013
{'hecke_orbit_code': 301741175067385945, 'n': 14, 'trace_an': 0}
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id: 280220014
{'hecke_orbit_code': 301741175067385945, 'n': 15, 'trace_an': 0}
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id: 280220015
{'hecke_orbit_code': 301741175067385945, 'n': 16, 'trace_an': 16}
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id: 280220016
{'hecke_orbit_code': 301741175067385945, 'n': 17, 'trace_an': 34}
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id: 280220017
{'hecke_orbit_code': 301741175067385945, 'n': 18, 'trace_an': 0}
-
id: 280220018
{'hecke_orbit_code': 301741175067385945, 'n': 19, 'trace_an': 0}
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id: 280220019
{'hecke_orbit_code': 301741175067385945, 'n': 20, 'trace_an': 0}
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id: 280220020
{'hecke_orbit_code': 301741175067385945, 'n': 21, 'trace_an': 0}
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id: 280220021
{'hecke_orbit_code': 301741175067385945, 'n': 22, 'trace_an': 30}
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id: 280220022
{'hecke_orbit_code': 301741175067385945, 'n': 23, 'trace_an': 6}
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id: 280220023
{'hecke_orbit_code': 301741175067385945, 'n': 24, 'trace_an': 0}
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id: 280220024
{'hecke_orbit_code': 301741175067385945, 'n': 25, 'trace_an': -10}
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id: 280220025
{'hecke_orbit_code': 301741175067385945, 'n': 26, 'trace_an': 0}
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id: 280220026
{'hecke_orbit_code': 301741175067385945, 'n': 27, 'trace_an': 12}
-
id: 280220027
{'hecke_orbit_code': 301741175067385945, 'n': 28, 'trace_an': 0}
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id: 280220028
{'hecke_orbit_code': 301741175067385945, 'n': 29, 'trace_an': 2}
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id: 280220029
{'hecke_orbit_code': 301741175067385945, 'n': 30, 'trace_an': 22}
-
id: 280220030
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