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mf_newforms • Show schema
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 105, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 6, 'char_parity': 1, 'char_values': [1050, 6, [701, 127, 451], [3, 3, 5]], 'cm_discs': [], 'conrey_index': 299, 'conrey_indexes': [299, 899], 'dim': 12, 'field_disc': 2387390285021184, 'field_disc_factorization': [[2, 16], [3, 6], [7069, 2]], 'field_poly': [729, -972, 891, -864, 576, -360, 237, -120, 64, -32, 11, -4, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[11, [1296, 15552, 75132, 155088, 168265, 99516, 30782, 3192, -645, -120, 38, 12, 1]], [13, [2904, 3300, 709, -232, -58, 4, 1]], [17, [82944, 290304, 339840, 4032, -76016, -4416, 14528, 2832, -708, -192, 32, 12, 1]], [23, [5103081, -1287630, 1885869, -57930, 405718, -8638, 43729, 3506, 2758, 86, 61, 2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27022972187313178, '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, 105, 16, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1050.2.u.g', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '210.2.r.a', 'prim_orbit_index': 16, 'qexp_display': 'q+\\beta _{5}q^{2}-\\beta _{1}q^{3}+(-1+\\beta _{5})q^{4}+(-\\beta _{1}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.2.u', 'trace_display': 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mf_hecke_nf • Show schema
Hide schema
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-14, 8, -8, -8, -4, 4, -18, 0, 18, 9], [0, -6, -8, -2, 4, -24, 2, -8, 6, -4, -14, -8], [-9, 4, 8, -6, -12, -9, -8, 4, 4, -2, 8, -2], [-6, 0, 0, 0, -2, 0, 6, 8, 0, -2, 0, -1], [-14, 14, 8, 9, -9, -14, 7, 16, -6, -2, 8, -2], [28, -2, -6, -2, -10, -14, -8, -4, -2, -6, 4, 0], [0, -2, 2, 4, 0, 12, 4, 6, 2, 6, 0, 12], [21, -2, 2, 19, -19, -42, -8, 8, -11, 0, 11, -9], [-7, -15, -10, 2, -5, -7, -7, -2, 5, -9, -10, -9], [24, -6, -16, 0, -8, -12, -8, -6, -6, -2, 10, 0], [-18, 9, 9, 0, 8, 0, 14, 6, 1, 8, 1, 4], [-9, 0, 0, -10, 10, 18, 11, -11, 2, 0, -2, -2], [-10, 8, 6, 1, 2, 5, 1, 1, 8, 1, 2, 0], [9, 1, 2, -1, 3, -9, 15, -12, 3, 14, -2, -14], [-24, 2, 0, -9, 3, 12, 12, -7, 2, 10, 2, 0], [14, -14, 1, 0, -5, 14, -12, -7, 15, -12, 1, -12], [-9, 11, 5, -5, -3, 9, 2, -5, 16, -3, -5, 3], [0, 2, -7, 4, -7, -9, -3, 8, -2, 1, -5, 2], [6, 8, 8, -10, -10, 0, 7, 7, 12, 0, 12, 0], [0, 2, -4, 1, -2, -13, -1, 9, -2, 7, -2, 14], [15, 9, -9, 12, -12, -30, -11, 11, -13, 0, 13, 4], [6, -7, -7, 4, -4, -3, -8, -13, -7, 9, 0, 0], [-34, -1, 0, 2, -13, 17, -15, 9, -1, -22, -1, 0], [-13, -6, 6, 2, -2, 26, -3, 3, 4, 0, -4, 7], [-22, 7, 7, 2, -14, 0, 2, 18, 3, -16, 3, -8], [-4, 16, 10, -12, -12, 2, 0, -4, 16, -8, 6, 0], [-5, 9, 2, 13, -19, -5, 5, 24, -7, -8, 2, -8], [0, -1, 0, 9, -4, 6, 5, 6, 1, 2, -1, 4], [-8, -6, -4, 0, 9, 4, 9, 10, -6, -1, -2, 0], [-12, 11, 1, 4, -5, -12, 6, 11, -10, 2, 1, 2], [-9, 17, 2, 12, -3, -9, 3, 6, -15, -9, 2, -9], [4, 4, 4, 2, 8, 0, -10, -16, 6, 6, 6, 3], [-1, -11, -17, 7, 5, -1, 6, 1, -6, -1, -17, -1], [33, 2, 2, -10, -8, 0, -5, -7, -2, 2, -2, 1], [21, -2, -10, -5, 5, 21, -5, -10, -8, 0, -10, 0], [6, -6, -14, 1, -1, -3, -2, -1, -6, 0, 8, 0], [0, -4, 0, 7, -18, -12, -11, 21, 4, 3, -4, 6], [15, 7, -7, 9, -9, -30, 0, 0, -16, 0, 16, 0], [30, -10, -10, -10, -12, 0, -12, -10, -8, -2, -8, -1], [27, -1, -22, 9, 2, -27, -8, 10, -23, 1, 22, -1], [22, 6, 7, 2, 1, -11, -1, 8, 6, -7, -1, 0], [-6, 2, 0, 10, -10, 6, 2, -12, 2, 12, 0, -12], [0, 0, 6, 13, -4, -23, 9, 11, 0, 7, 6, 14], [8, 0, 0, -8, 8, -16, 2, -2, -8, 0, 8, 16], [0, -6, -8, -2, 23, 6, 21, -20, 6, 3, -14, 6], [-6, -3, -3, -1, -21, 0, -11, 9, -2, -20, -2, -10], [-3, 6, -7, 7, 5, 3, -2, 7, -1, 5, 7, -5], [8, 8, -12, 4, 0, -8, -20, 20, -4, -16, 12, 16], [-39, 5, 5, -8, -18, 0, -14, -4, 3, -10, 3, -5], [-12, 8, -8, -16, 16, 24, 20, -20, 0, 0, 0, 2], [0, -1, 1, -2, 12, 3, 10, -7, 1, 5, 0, 10], [0, -5, 0, -1, -4, 0, -12, 8, -5, -13, 0, 13], [-13, 0, 0, 8, -8, 26, -4, 4, 4, 0, -4, 0], [-10, 4, 4, 10, 5, -10, 9, 4, 0, -1, 4, -1], [22, 7, 0, -8, -7, -11, 1, -9, 7, 2, 7, 0], [19, 0, -12, 7, -18, -19, -16, -2, -12, -9, 12, 9], [6, -5, 4, 0, 6, -6, -2, 8, -1, -2, -4, 2], [8, 2, -2, 8, -8, -16, -15, 15, -18, 0, 18, 1], [0, 10, 5, 3, 0, -9, 3, -1, -10, -1, 15, -2], [12, -2, -17, 6, 7, 12, 10, 3, -15, 4, -17, 4], [-12, 5, 5, -10, 6, 0, 14, -2, -7, 16, -7, 8], [2, 10, 4, -20, 8, 2, -4, -12, -6, 16, 4, 16], [6, -20, -20, 10, 0, 0, -16, -6, -2, -10, -2, -5], [-23, 19, 10, 1, -22, -23, -4, 18, -9, -5, 10, -5], [2, 6, 13, -8, -10, -1, -2, -6, 6, -4, -7, 0], [16, 0, 0, 14, -14, -32, -8, 8, -2, 0, 2, -16], [-12, 8, 8, -5, 21, 0, 19, -7, -15, 26, -15, 13], [7, 6, -6, -12, 12, -14, -1, 1, -6, 0, 6, 19], [18, 0, -16, 11, -3, -18, -13, 10, -16, -2, 16, 2], [2, -10, -2, 5, -8, -1, -13, 3, -10, -11, -8, 0], [6, -16, -4, 0, 4, 6, 4, 0, 12, 4, -4, 4], [-18, -8, 12, 0, -2, 18, 10, -12, 4, 10, -12, -10], [0, 4, -3, 1, -14, 19, -13, 1, -4, -13, 1, -26], [6, -14, -14, -10, -8, 0, -4, -6, -12, 2, -12, 1], [0, 13, 6, 6, 5, -21, 11, 3, -13, 8, 19, 16], [0, 2, 0, 6, -14, -6, -8, 4, -2, -10, 2, -20], [-26, -3, 6, -20, 10, 26, 22, -12, 3, 2, -6, -2], [0, 12, -2, 12, -10, -1, 2, 0, -12, -10, 10, -20], [0, 3, -12, -4, 5, -15, 1, 3, -3, 8, -9, 16], [-12, 3, 6, 3, 12, -12, 18, 6, 3, 15, 6, 15], [22, 18, -20, 14, -4, -22, -8, 4, -2, 6, 20, -6], [5, -9, 9, 0, 0, -10, -8, 8, 17, 0, -17, 7], [-27, -12, 12, -6, 6, 54, 11, -11, 10, 0, -10, -7], [0, -18, 16, -15, 14, -3, -1, -7, 18, 7, -2, 14], [-2, -8, -17, 7, 2, 1, -5, -3, -8, 5, 9, 0], [10, -16, -4, -6, -4, 10, 0, 4, 12, 6, -4, 6], [-30, 8, 8, -6, -22, 0, -1, 15, -4, -16, -4, -8], [9, -15, -14, 1, 11, 9, 5, -6, 1, 4, -14, 4], [12, -4, -4, 19, 5, 0, -9, 5, 1, -14, 1, -7], [14, 11, 2, 4, 2, 14, -6, -8, -9, -10, 2, -10], [-9, -22, -10, 15, 0, -9, 6, 6, 12, -9, -10, -9], [0, -8, 19, 9, -15, 3, -6, 9, 8, -6, 11, -12], [15, -9, -9, 3, -15, 0, -20, -2, 2, -18, 2, -9], [12, 10, -10, 11, -11, -24, -13, 13, -3, 0, 3, 5], [15, -2, -6, -1, 4, -15, 4, 0, -8, 3, 6, -3], [-32, -2, 4, -14, -4, 16, 10, -8, -2, 4, -6, 0], [-6, 0, 0, -12, 12, 12, 0, 0, 8, 0, -8, 0], [0, -5, -4, -12, 20, 3, 8, -9, 5, 11, -9, 22], [39, 1, 1, 6, 0, 0, -11, -5, 9, -6, 9, -3], [0, -16, 2, -10, 9, 24, -1, -14, 16, -5, -14, -10], [0, 12, -8, -3, -5, 0, -8, 7, -12, 2, 4, 4], [-13, 7, 10, -3, 17, 13, 7, 10, 17, 4, -10, -4]], 'char_orbit_index': 21, 'field_poly': [729, -972, 891, -864, 576, -360, 237, -120, 64, -32, 11, -4, 1], 'hecke_orbit_code': 27022972187313178, 'hecke_ring_character_values': [[701, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [127, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [451, [0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 243, 486, 486, 486, 486, 486, 486, 486, 162, 486], '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], [-1, 1, 1, 0, 0, -1, 1, 0, -1, 1, 0, 0], [1, 0, 1, 1, 0, 1, 0, 2, -1, 1, 0, 1], [4, 2, 0, 2, 0, 1, -3, 1, 0, -2, 2, -2], [6, 4, -2, -1, 0, -3, 1, -5, -4, 5, 1, -2], [-5, 8, 2, 9, -3, -2, 0, 6, -5, 10, 3, 7], [11, 4, 2, 23, 6, -19, -2, 16, -11, 1, 14, -3], [41, -12, -24, -2, 30, 17, -3, -13, -18, 20, -10, -4], [-24, 13, 8, 13, 12, 63, -27, -43, 22, 33, -3, 0], [104, 13, 19, 81, 21, -157, 35, -18, -10, 81, 81, 13], [238, -26, -149, 106, 168, -170, 16, 74, -94, 120, -16, 134]], '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], [972, -891, 864, -576, 360, -237, 120, -64, 32, -11, 4, -1], [4131, -1539, 1404, -1719, 423, -519, 330, -59, 79, -19, 2, -5], [1701, -1701, 2187, -1773, 1035, -771, 381, -197, 127, -43, 17, -5], [6318, -4212, 4455, -4302, 2070, -1668, 969, -400, 284, -98, 31, -16], [8019, -4212, 4887, -4986, 2097, -1896, 1095, -416, 325, -112, 35, -20], [-13365, 9558, -9396, 8874, -4221, 3246, -1902, 794, -529, 184, -56, 26], [-12636, 9801, -9558, 8766, -4356, 3255, -1920, 812, -538, 193, -56, 26], [-15795, 11097, -11232, 10602, -5103, 3957, -2286, 956, -643, 229, -68, 32], [3888, -3240, 3348, -3123, 1638, -1230, 708, -317, 208, -76, 26, -11], [17010, -12879, 12879, -11925, 5976, -4533, 2631, -1145, 736, -265, 83, -35]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '1050.2.u.g', 'level': 1050, 'maxp': 1999, 'weight': 2}
-
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{'Nk2': 4200, 'analytic_conductor': 8.38429221223444, 'char_conductor': 105, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 6, 'char_parity': 1, 'char_values': [1050, 6, [701, 127, 451], [3, 3, 5]], 'conrey_index': 299, 'cusp_dim': 432, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 23], 'hecke_orbit_code': 1374423090202, 'hecke_orbit_dims': [4, 4, 4, 4, 12, 12, 12, 12, 16, 16], 'label': '1050.2.u', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 528, 'mf_new_dim': 96, 'num_forms': 10, 'prim_orbit_index': 16, 'relative_dim': 48, 'sturm_bound': 480, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, -48, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, -48, 0, 0, -12, 0, -8, 0, 0, 12, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 24, 0, 0, 12, 0, 0, 0, 0, 0, 0, 16, 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mf_twists_nf • Show schema
Hide schema
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id: 631534
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 18, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.2.r.a', 'target_level': 210, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 631535
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 18, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '210.2.r.a', 'target_level': 210, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 631536
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 18, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '210.2.r.b', 'target_level': 210, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 631537
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 18, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '210.2.r.b', 'target_level': 210, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 631538
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 19, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1050.2.s.f', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 631539
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 19, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1050.2.s.f', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 631540
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 19, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1050.2.s.g', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 631541
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 19, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1050.2.s.g', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 631542
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1050.2.u.e', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 631543
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1050.2.u.e', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 631544
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1050.2.u.f', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 631545
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1050.2.u.f', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 631546
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1050.2.u.g', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 631547
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1050.2.u.g', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 631548
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1050.2.u.h', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 631549
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1050.2.u.h', 'target_level': 1050, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 631550
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1470.2.b.a', 'target_level': 1470, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '35.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 631551
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1470.2.b.a', 'target_level': 1470, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 631552
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1470.2.b.b', 'target_level': 1470, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 631553
{'conductor': 105, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1050.2.u.g', 'source_level': 1050, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1470.2.b.b', 'target_level': 1470, 'twist_class_label': '210.2.r.a', 'twist_class_level': 210, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1633225
{'charpoly_factorization': [[[1, -1, 1], 6]], 'hecke_orbit_code': 27022972187313178, 'p': 2}
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id: 1633226
{'charpoly_factorization': [[[729, 972, 891, 864, 576, 360, 237, 120, 64, 32, 11, 4, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 3}
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id: 1633227
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 27022972187313178, 'p': 5}
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id: 1633228
{'charpoly_factorization': [[[117649, 100842, 26411, -2058, -3381, -1764, -782, -252, -69, -6, 11, 6, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 7}
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id: 1633229
{'charpoly_factorization': [[[1296, 15552, 75132, 155088, 168265, 99516, 30782, 3192, -645, -120, 38, 12, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 11}
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id: 1633230
{'charpoly_factorization': [[[2904, 3300, 709, -232, -58, 4, 1], 2]], 'hecke_orbit_code': 27022972187313178, 'p': 13}
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id: 1633231
{'charpoly_factorization': [[[82944, 290304, 339840, 4032, -76016, -4416, 14528, 2832, -708, -192, 32, 12, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 17}
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id: 1633232
{'charpoly_factorization': [[[242985744, 40965264, -33815268, -6089076, 3891985, 194628, -175002, -4932, 5783, 0, -90, 0, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 19}
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id: 1633233
{'charpoly_factorization': [[[5103081, -1287630, 1885869, -57930, 405718, -8638, 43729, 3506, 2758, 86, 61, 2, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 23}
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id: 1633234
{'charpoly_factorization': [[[12194064, 0, 21665952, 0, 4309528, 0, 335392, 0, 12009, 0, 190, 0, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 29}
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id: 1633235
{'charpoly_factorization': [[[301925376, 120936960, -16450176, -13056960, 931984, 872064, -17568, -34512, 1004, 864, -24, -12, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 31}
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id: 1633236
{'charpoly_factorization': [[[4096, -129024, 1285312, 2187360, 1268489, 156240, -86270, -14400, 6311, 0, -86, 0, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 37}
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id: 1633237
{'charpoly_factorization': [[[549, 5802, 4627, -260, -145, 2, 1], 2]], 'hecke_orbit_code': 27022972187313178, 'p': 41}
-
id: 1633238
{'charpoly_factorization': [[[8832784, 0, 9592736, 0, 3430296, 0, 447712, 0, 19305, 0, 254, 0, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 43}
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id: 1633239
{'charpoly_factorization': [[[15397776, -49301136, 54262188, -5264316, -10480079, 1124916, 1962246, 208836, -11161, -2160, 102, 24, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 47}
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id: 1633240
{'charpoly_factorization': [[[11664, 198288, 3072924, 4791636, 5266105, 2887996, 1164302, 252796, 40459, 1208, 230, 8, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 53}
-
id: 1633241
{'charpoly_factorization': [[[454201344, 216870912, 199369728, 48362496, 45836800, 13195008, 4130368, 444864, 52896, 2640, 292, 12, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 59}
-
id: 1633242
{'charpoly_factorization': [[[2158903296, -1561190400, 301977600, 53760000, -20208512, -1639680, 902400, 28968, -19471, -990, 267, 30, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 61}
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id: 1633243
{'charpoly_factorization': [[[331776, -331776, -138240, 248832, 139968, -38016, -18096, 4128, 1777, -294, -37, 6, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 67}
-
id: 1633244
{'charpoly_factorization': [[[8680276224, 0, 2846784384, 0, 285221776, 0, 9033600, 0, 108824, 0, 552, 0, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 71}
-
id: 1633245
{'charpoly_factorization': [[[89884836864, -9886468608, 6672240000, 312070464, 279676048, 9078048, 4870240, 174096, 59772, 1008, 280, 0, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 73}
-
id: 1633246
{'charpoly_factorization': [[[8386816, 12464384, 35796160, -37438400, 27414352, -10374400, 2935376, -457936, 55708, -3248, 220, -4, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 79}
-
id: 1633247
{'charpoly_factorization': [[[1327104, 0, 1511424, 0, 582400, 0, 91200, 0, 5393, 0, 126, 0, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 83}
-
id: 1633248
{'charpoly_factorization': [[[15803506944, -1810252800, 2984086656, 1116589824, 436991152, 74600800, 11618408, 1003960, 106345, 7418, 635, 26, 1], 1]], 'hecke_orbit_code': 27022972187313178, 'p': 89}
-
id: 1633249
{'charpoly_factorization': [[[49488, 60960, -26204, 1560, 308, -36, 1], 2]], 'hecke_orbit_code': 27022972187313178, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 21, 'hecke_orbit': 7, 'label': '1050.2.u.g', 'level': 1050, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 184913000
{'hecke_orbit_code': 27022972187313178, 'n': 1, 'trace_an': 12}
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id: 184913001
{'hecke_orbit_code': 27022972187313178, 'n': 2, 'trace_an': 6}
-
id: 184913002
{'hecke_orbit_code': 27022972187313178, 'n': 3, 'trace_an': -4}
-
id: 184913003
{'hecke_orbit_code': 27022972187313178, 'n': 4, 'trace_an': -6}
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id: 184913004
{'hecke_orbit_code': 27022972187313178, 'n': 5, 'trace_an': 0}
-
id: 184913005
{'hecke_orbit_code': 27022972187313178, 'n': 6, 'trace_an': -2}
-
id: 184913006
{'hecke_orbit_code': 27022972187313178, 'n': 7, 'trace_an': -6}
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id: 184913007
{'hecke_orbit_code': 27022972187313178, 'n': 8, 'trace_an': -12}
-
id: 184913008
{'hecke_orbit_code': 27022972187313178, 'n': 9, 'trace_an': -6}
-
id: 184913009
{'hecke_orbit_code': 27022972187313178, 'n': 10, 'trace_an': 0}
-
id: 184913010
{'hecke_orbit_code': 27022972187313178, 'n': 11, 'trace_an': -12}
-
id: 184913011
{'hecke_orbit_code': 27022972187313178, 'n': 12, 'trace_an': 2}
-
id: 184913012
{'hecke_orbit_code': 27022972187313178, 'n': 13, 'trace_an': -8}
-
id: 184913013
{'hecke_orbit_code': 27022972187313178, 'n': 14, 'trace_an': -12}
-
id: 184913014
{'hecke_orbit_code': 27022972187313178, 'n': 15, 'trace_an': 0}
-
id: 184913015
{'hecke_orbit_code': 27022972187313178, 'n': 16, 'trace_an': -6}
-
id: 184913016
{'hecke_orbit_code': 27022972187313178, 'n': 17, 'trace_an': -12}
-
id: 184913017
{'hecke_orbit_code': 27022972187313178, 'n': 18, 'trace_an': 0}
-
id: 184913018
{'hecke_orbit_code': 27022972187313178, 'n': 19, 'trace_an': 0}
-
id: 184913019
{'hecke_orbit_code': 27022972187313178, 'n': 20, 'trace_an': 0}
-
id: 184913020
{'hecke_orbit_code': 27022972187313178, 'n': 21, 'trace_an': -18}
-
id: 184913021
{'hecke_orbit_code': 27022972187313178, 'n': 22, 'trace_an': 0}
-
id: 184913022
{'hecke_orbit_code': 27022972187313178, 'n': 23, 'trace_an': -2}
-
id: 184913023
{'hecke_orbit_code': 27022972187313178, 'n': 24, 'trace_an': 4}
-
id: 184913024
{'hecke_orbit_code': 27022972187313178, 'n': 25, 'trace_an': 0}
-
id: 184913025
{'hecke_orbit_code': 27022972187313178, 'n': 26, 'trace_an': -4}
-
id: 184913026
{'hecke_orbit_code': 27022972187313178, 'n': 27, 'trace_an': -28}
-
id: 184913027
{'hecke_orbit_code': 27022972187313178, 'n': 28, 'trace_an': -6}
-
id: 184913028
{'hecke_orbit_code': 27022972187313178, 'n': 29, 'trace_an': 0}
-
id: 184913029
{'hecke_orbit_code': 27022972187313178, 'n': 30, 'trace_an': 0}
-
id: 184913030
{'hecke_orbit_code': 27022972187313178, 'n': 31, 'trace_an': 12}
-
id: 184913031
{'hecke_orbit_code': 27022972187313178, 'n': 32, 'trace_an': 6}
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{'hecke_orbit_code': 27022972187313178, 'n': 214, 'trace_an': 2}
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{'hecke_orbit_code': 27022972187313178, 'n': 215, 'trace_an': 0}
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{'hecke_orbit_code': 27022972187313178, 'n': 219, 'trace_an': 8}
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{'hecke_orbit_code': 27022972187313178, 'n': 220, 'trace_an': 0}
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{'hecke_orbit_code': 27022972187313178, 'n': 223, 'trace_an': -160}
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{'hecke_orbit_code': 27022972187313178, 'n': 229, 'trace_an': -96}
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