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mf_newforms • Show schema
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{'Nk2': 6552, 'analytic_conductor': 13.079495851085728, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 36, 'char_orbit_label': 'bj', 'char_order': 6, 'char_parity': 1, 'char_values': [1638, 6, [911, 703, 379], [6, 6, 5]], 'cm_discs': [], 'conrey_index': 127, 'conrey_indexes': [127, 1135], 'dim': 16, 'field_disc': 69882774134913183482118144, 'field_disc_factorization': [[2, 20], [3, 8], [1021, 2], [98713, 2]], 'field_poly': [97344, 7488, 288, 8856, 55249, 11266, 1106, 478, 6655, 1612, 172, -148, 143, 18, 2, -2, 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': [[5, [1024, 0, 50688, 0, 111760, 0, 96800, 0, 40824, 0, 8752, 0, 953, 0, 50, 0, 1]], [11, [11075584, -21086208, 9853952, 6716160, -5632240, -1784016, 2108476, 211620, -365343, -41736, 41282, 9276, -881, -360, 18, 12, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31527602606835302, 'hecke_ring_generator_nbound': 13, '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, 13, 5, 1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1638.2.bj.h', 'level': 1638, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '1638.2.bj.h', 'prim_orbit_index': 5, 'qexp_display': 'q+\\beta _{4}q^{2}+(1-\\beta _{5})q^{4}-\\beta _{9}q^{5}-\\beta _{3}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1638.2.bj', 'trace_display': [0, 0, 0, 0], 'trace_hash': 63335461527198541, 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mf_hecke_nf • Show schema
Hide schema
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0, -2, -3, 4, 0, -7, -7, -4, 1, 1], [1, -2, 4, 5, -4, 15, 2, -2, -2, -2, -3, 0, 3, 0, -2, 1], [-8, 4, -4, -6, 4, 12, 4, 0, -8, -4, 0, 2, 4, 0, 4, 0], [15, -2, -2, 1, 1, -11, 0, 0, 0, 0, 1, -2, -1, -2, 0, -7], [8, 2, -6, 4, -8, -8, -2, -2, -6, 4, 0, 0, 0, 2, 2, 2], [4, 4, -4, -8, 8, -2, -10, 0, 6, 2, 0, 0, 0, 0, -6, 0], [3, -4, 1, -1, 0, -9, -3, -5, 3, -5, 7, 0, 1, 0, -6, 3], [-8, -4, -2, -14, -4, -8, -4, -4, 2, 0, 0, -4, 4, 0, 2, -2], [0, -7, 7, 4, -4, -5, 3, 0, 4, 1, 6, 0, 0, 6, 5, 0], [-1, -3, -3, 4, 1, 1, 1, -2, 4, 1, -2, -3, 0, 2, -1, 2], [0, -2, -2, 10, 8, 0, -5, -10, -3, 5, -4, -2, 0, 4, 0, 0], [-6, 4, -4, 16, -14, 18, -10, 0, 6, 0, -2, -2, -4, -2, -6, 0], [8, 2, -2, -9, -1, 8, 2, 7, 2, 0, 0, -1, 1, 0, 1, -1], [6, -3, 1, -11, 7, -12, -2, -6, 2, -6, 4, 0, -3, 0, -12, 6], [-13, 6, 6, -5, -11, -5, 3, 0, -3, 0, -1, -6, 0, 1, 5, -10], [-5, 1, 1, -13, 8, 3, 2, 4, -2, 4, 3, 0, -3, 0, 10, -5], [-1, 4, 1, -16, 9, -3, 5, 1, -5, 1, -10, 0, -2, 0, 2, -1], [-6, 3, 3, -12, -14, -4, -3, -2, -6, 1, -5, -2, 0, 5, 4, -8], [19, 3, -9, -2, 5, -19, -3, -3, -9, 6, 0, -1, -1, -1, 4, 4], [-2, 4, 0, 15, 0, -2, 4, -2, 0, 0, -6, 0, 0, 3, 1, -1], [-5, 1, 1, -2, -1, -1, 7, 12, 6, -6, 5, 1, 0, -5, 1, -2], [2, -6, 6, 10, -10, 4, 4, 0, 2, -4, 0, 0, 0, 0, -8, 0], [11, -1, -5, -2, -13, -6, -4, 4, -4, -4, -2, 4, 2, 4, 0, -1], [-2, -2, 5, 2, -6, 2, 2, -1, 5, 2, 0, 2, 2, 3, -2, -2], [-4, -4, 4, 14, -12, -2, 8, 0, -4, 8, -4, -2, -4, -4, 10, 0], [-6, 3, 4, -7, 12, 6, -3, -1, 4, 2, 0, 2, 2, -2, -3, -3], [17, -5, -4, -7, 4, -7, 1, 7, 1, -7, 0, 14, 7, 0, 0, 3], [-8, -6, 6, 0, 0, 12, 8, 0, -2, 0, -2, 0, 0, -2, 4, 0], [2, 1, -3, -7, 1, 23, -2, -1, 2, -1, 1, 0, 5, 0, -4, 2], [23, 2, 5, -8, 12, -23, -2, 5, 5, -10, 0, 4, 4, 2, -1, -1], [3, -1, 1, -5, 7, 1, -4, 0, 5, 3, 4, -2, -4, 4, -7, 0], [-13, 5, 5, 0, -11, -1, -1, -6, -6, 3, -6, -11, 0, 6, 1, -2], [-10, 4, -4, -23, 23, 13, 3, 0, -7, -4, -6, 0, 0, -6, 7, 0], [-12, 3, -4, 1, 1, -12, 3, -3, 4, 0, -6, 1, -1, 3, 3, -3], [-18, -2, 4, 2, -2, 18, 2, -2, 4, 4, 0, -2, -2, 8, -4, -4], [12, -7, -1, 2, 1, 12, -7, 3, 1, 0, 6, 1, -1, -3, -10, 10], [5, 7, 7, 6, 5, 1, 3, 0, -4, 0, 6, -1, 0, -6, -1, 2], [-4, -2, 4, 11, -26, 4, 2, 2, 4, -4, 0, 4, 4, 1, 1, 1], [11, -6, -1, -2, 5, -7, 5, 7, 5, -7, -4, 4, 2, 8, 0, -3], [0, -3, 3, 21, -23, 8, -1, 0, 4, -9, -1, 2, 4, -1, -8, 0], [-5, -4, 3, -6, 0, 14, -1, -2, 1, -2, -1, 0, 6, 0, 10, -5], [4, -6, 4, 25, -12, -9, -2, -1, 2, -1, 9, 0, -1, 0, -8, 4], [4, 8, -8, -4, 8, -6, -6, 0, -2, 10, 0, -4, -8, 0, -2, 0], [-3, -1, -1, -3, -5, -3, -2, -6, -1, 3, 0, -2, 0, 0, 3, -6], [17, 1, 1, -4, -3, -1, -1, -8, -2, 4, 5, 1, 0, -5, 1, -2], [-12, -5, 5, 11, -12, 22, 5, 0, 0, -1, 1, 1, 2, 1, 2, 0], [-6, -6, -1, -1, -8, 1, 5, 1, 5, -1, -4, 2, 1, 8, 0, -4], [4, 12, -3, -1, 5, -4, -12, -1, -3, 2, 0, -3, -3, 4, 1, 1], [-4, -2, -2, -10, 2, 2, -6, 8, -4, -4, 8, 12, 0, -8, -2, 4], [6, -6, 6, 16, -18, -8, 1, 0, 5, 3, 4, 2, 4, 4, -4, 0], [-9, -3, 2, 3, -8, 5, 5, -4, 5, 4, -3, -6, -3, 6, 0, 1], [-4, -1, 7, 9, -3, -4, -1, -6, -7, 0, 2, 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-8, 2, -8, 14, 8, 8, -2, 2, 4, 0, 2, 2, -4, 6, 6], [15, 7, 4, 1, 0, -9, -3, -9, -3, 9, 2, -2, -1, -4, 0, -3], [-8, 1, 7, 10, -12, 8, -1, -3, 7, 6, 0, -8, -8, -4, 2, 2], [0, 6, -6, 10, -10, -5, 0, -2, 0, -2, -2, 0, 10, 0, 0, 0], [5, -3, -3, 18, 19, -3, -1, -4, 2, 2, -4, 1, 0, 4, 3, -6], [-4, -1, 7, -7, 7, -7, 6, 3, -6, 3, 3, 0, -7, 0, 8, -4], [-18, 5, -6, -13, 4, -18, 5, 11, 6, 0, 0, 4, -4, 0, -1, 1], [0, 7, -3, -19, -1, 0, 7, 8, 3, 0, 6, -1, 1, -3, 3, -3], [0, 6, -6, -30, 28, 2, 0, 0, -6, -4, -1, 2, 4, -1, -2, 0], [1, 2, 2, 1, 0, 2, 9, -6, 7, 3, -17, -1, 0, 17, -2, 4], [12, 2, 4, 5, -2, -12, -2, 0, 4, 0, 0, -8, -8, -1, -1, -1], [-2, -1, 8, -2, 12, 6, 9, 3, 9, -3, 1, 4, 2, -2, 0, 10], [2, 0, 0, -13, 17, -3, 3, 0, -3, 8, 2, -4, -8, 2, -1, 0], [-3, -3, 4, 19, -8, -5, 1, 0, -1, 0, -3, 0, -3, 0, 6, -3], [-8, -4, 4, -12, 8, 20, 4, 0, 0, -4, 8, 4, 8, 8, -4, 0], [5, 0, 0, 26, -23, -15, -4, 0, 4, 4, 1, -3, -6, 1, 5, 0], [7, 3, -5, 20, -1, 7, 3, 1, 5, 0, -2, -1, 1, 1, -6, 6], [-4, 7, -1, -33, 13, -12, 6, 3, -6, 3, -4, 0, 7, 0, 8, -4], [-13, -6, -6, -14, -11, 3, -2, -2, 4, 1, 0, 3, 0, 0, -3, 6], [1, 8, -4, -12, 9, -7, 4, 4, -4, 4, 5, 0, -6, 0, -2, 1], [17, 1, -4, 23, -35, -17, -1, -3, -4, 6, 0, -11, -11, -6, 2, 2], [4, 10, -2, 10, -16, -4, -10, -4, -2, 8, 0, -4, -4, 8, -4, -4], [-6, -6, 6, -12, 6, 8, 8, 0, -2, -2, 0, 6, 12, 0, 4, 0], [3, -7, -6, 1, 0, 5, -13, 2, 13, 2, -5, 0, -1, 0, -6, 3], [2, -1, 3, -28, 12, -12, 2, -1, -2, -1, 0, 0, 4, 0, -4, 2], [4, -1, 5, 3, 3, -3, 6, 7, 6, -7, -5, -6, -3, 10, 0, -2], [-13, 4, 4, 2, 5, -3, 0, 16, -4, -8, -1, 3, 0, 1, 3, -6], [12, 4, 4, 0, 4, -2, 3, -2, -1, 1, -2, 4, 0, 2, 2, -4], [-15, 6, -6, -6, 11, 23, -5, 0, -1, 10, -5, -5, -10, -5, 7, 0], [-2, 10, 4, 6, -2, -2, 10, 2, -4, 0, -4, -2, 2, 2, 6, -6], [30, 1, 2, 2, -21, -16, 1, -1, 1, 1, -5, -4, -2, 10, 0, -2], [-12, 6, -4, 6, -2, 12, -6, -10, -4, 20, 0, -10, -10, -2, 4, 4], [3, 1, -13, 15, -6, 5, -12, 2, 12, 2, 3, 0, -3, 0, -6, 3], [7, 1, 9, 4, -15, -4, 8, -2, 8, 2, 4, -8, -4, -8, 0, -1], [6, 3, -7, 2, 6, 0, -4, 3, 4, 3, -2, 0, -14, 0, -12, 6], [29, -9, 1, -1, 1, -29, 9, 2, 1, -4, 0, 1, 1, 1, -2, -2], [7, -5, 0, -3, 14, 1, 5, 6, 5, -6, 3, 6, 3, -6, 0, 9], [2, 0, -4, -27, 0, 2, 0, -2, 4, 0, -10, 0, 0, 5, -1, 1], [25, 0, 0, 2, 1, 7, -1, 0, -1, 0, 7, -1, 0, -7, -7, 14], [-14, 8, 3, 1, 1, -14, 8, 0, -3, 0, -12, 1, -1, 6, -1, 1], [-12, 10, 0, 4, 4, 6, -10, 2, -10, -2, 0, -8, -4, 0, 0, 0], [-14, 7, 1, -19, 2, -14, 7, 6, -1, 0, -2, 2, -2, 1, 9, -9], [-4, 4, -6, 18, -8, -6, -2, -2, 2, -2, -4, 0, -2, 0, 8, -4], [6, 2, 0, 4, 2, 2, -2, -12, -2, 12, 0, -8, -4, 0, 0, 10], [15, 9, 1, -3, 4, -7, -8, 10, -8, -10, 1, 6, 3, -2, 0, 1], [-1, 2, -2, 6, -11, 0, -1, 0, -1, 8, 1, 5, 10, 1, 2, 0], [3, 7, -2, 25, -14, -1, 5, 2, -5, 2, -1, 0, 3, 0, -6, 3], [-20, -4, -4, 10, 12, -4, 2, 4, 6, -2, -12, 2, 0, 12, 4, -8], [-9, 1, -11, 1, 4, -9, 1, 2, 11, 0, -8, 4, -4, 4, 1, -1], [-6, 4, -5, 12, -26, 6, -4, -5, -5, 10, 0, 2, 2, 9, -6, -6], [6, 8, 10, 2, -14, -4, 2, 12, 2, -12, 2, -4, -2, -4, 0, -2], [-10, 0, 0, 4, 14, 2, 2, 8, 2, -4, -6, 10, 0, 6, -2, 4], [-4, 12, 6, 8, -4, -4, 12, -6, -6, 0, 6, -4, 4, -3, -2, 2], [1, -2, -2, -7, -12, 0, -5, -10, -3, 5, -1, -5, 0, 1, 0, 0], [-7, 9, -3, -20, 9, 6, 6, -6, -6, -6, -8, 0, 2, 0, 14, -7], [7, 3, -3, 10, -7, -15, -10, 0, 7, 1, -1, -3, -6, -1, 1, 0], [-5, 1, 2, 4, -4, -2, 3, 9, -3, 9, 2, 0, 4, 0, 10, -5], [2, 10, 12, 13, -8, 2, 10, -4, -12, 0, -6, -8, 8, 3, 3, -3], [-16, -2, 8, -8, 8, 16, 2, 0, 8, 0, 0, 8, 8, 2, -4, -4], [-4, 6, 0, 16, 1, -4, 6, 8, 0, 0, -6, 1, -1, 3, -3, 3], [-12, -10, 10, -31, 26, 26, 7, 0, 3, -12, 6, 5, 10, 6, -2, 0], [-22, 1, -11, 3, 6, -22, 1, 12, 11, 0, -2, 6, -6, 1, 3, -3], [0, 2, -5, -1, 10, 0, -2, -5, -5, 10, 0, -8, -8, 3, 2, 2], [34, 1, 1, 4, -8, 1, -4, -8, -5, 4, 4, -12, 0, -4, -1, 2], [-3, 1, -1, 17, -13, 13, 0, 0, -1, -13, 0, -4, -8, 0, -7, 0], [-30, 12, 10, 0, -26, 12, -2, -2, -2, 2, -1, 0, 0, 2, 0, -6], [-29, 1, -1, 8, -25, 29, -1, 3, -1, -6, 0, 9, 9, -3, 4, 4], [-4, 12, -3, 9, 1, 4, -12, -4, -3, 8, 0, -19, -19, -8, -1, -1], [-19, -9, -14, 1, 10, 13, -5, -2, -5, 2, 2, -2, -1, -4, 0, 7], [11, 5, -3, -15, 0, 11, 5, 6, 3, 0, 0, 0, 0, 0, 5, -5], [5, -3, 3, -24, 21, -9, 7, 0, -4, -2, -7, 3, 6, -7, -1, 0], [1, 8, 12, 20, 0, 1, 8, 8, -12, 0, -8, 0, 0, 4, 12, -12], [0, -3, 9, 16, -27, 0, 3, 1, 9, -2, 0, -5, -5, 16, -4, -4], [0, -2, -4, 14, -4, -18, -6, -4, 6, -4, 0, 0, -6, 0, 0, 0], [12, 2, 6, -2, 2, -2, 4, 6, 4, -6, 6, 4, 2, -12, 0, 8], [-7, 2, 2, 22, 29, -1, 3, 8, 1, -4, 1, 7, 0, -1, 1, -2], [-15, -8, -5, -7, 22, 7, 3, 19, 3, -19, 1, 14, 7, -2, 0, -1], [0, -2, 2, -2, 8, 4, -6, 0, 8, -14, -2, -6, -12, -2, -4, 0], [-5, 6, 6, -10, -13, -6, 7, -12, 1, 6, -11, -3, 0, 11, 6, -12], [-15, 4, 4, -12, -14, 2, 4, -4, 0, 2, -4, -2, 0, 4, -2, 4], [15, 17, -17, -7, 8, -38, -6, 0, -11, -1, -10, -1, -2, -10, 8, 0], [5, 5, -1, -13, 1, 5, 5, 8, 1, 0, -18, 1, -1, 9, 18, -18], [-6, -5, 1, 2, -9, 6, 5, 6, 1, -12, 0, 5, 5, -8, 8, 8], [1, 0, 2, 7, -5, 23, 2, -10, -2, -10, -7, 0, 3, 0, -2, 1], [2, -2, -9, -1, -1, -2, 2, 0, -9, 0, 0, 3, 3, -8, 3, 3], [21, -8, -6, -3, 8, -15, 2, 10, 2, -10, -5, 6, 3, 10, 0, -9], [6, -15, -3, -14, 3, 6, -15, -7, 3, 0, -4, 3, -3, 2, 0, 0], [-12, -2, -5, -6, 12, 12, 2, -3, -5, 6, 0, 0, 0, 19, -4, -4], [-9, -7, -7, -2, -1, -1, -3, -6, 4, 3, -10, 1, 0, 10, 1, -2], [9, -5, -5, 6, 5, 5, -3, -12, 2, 6, -10, -1, 0, 10, -5, 10], [0, -6, 6, -26, 8, 6, 0, -1, 0, -1, 14, 0, 10, 0, 0, 0], [-2, -3, 5, 5, -3, -10, 2, 7, -2, 7, 6, 0, 1, 0, 4, -2], [-12, -7, 1, 0, -4, 8, 8, -11, 8, 11, -8, 0, 0, 16, 0, 4], [6, 0, 8, 4, 6, -6, 0, 4, 8, -8, 0, -14, -14, 1, 0, 0], [0, -7, 7, 9, -3, -4, 3, 0, 4, 5, 3, -6, -12, 3, 4, 0], [2, -1, 5, 17, -3, 1, 4, 9, -4, 9, -3, 0, -11, 0, -4, 2]], 'char_orbit_index': 36, 'field_poly': [97344, 7488, 288, 8856, 55249, 11266, 1106, 478, 6655, 1612, 172, -148, 143, 18, 2, -2, 1], 'hecke_orbit_code': 31527602606835302, 'hecke_ring_character_values': [[911, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [703, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [379, [1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1107554912919410126016, 57592855471809326552832, 57592855471809326552832, 35896513665792, 1107554912919410126016, 14398213867952331638208, 230105856832, 14398213867952331638208, 14398213867952331638208, 57592855471809326552832, 57592855471809326552832, 14398213867952331638208, 57592855471809326552832, 57592855471809326552832], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 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, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 5, -5, -1, 0, 0, -1, 1, 0, 0, 0, 0, 1, 0], [-4, 1, -8, 2, -4, 2, -8, -2, -2, 2, 0, -2, 0, -2, 2, 0], [-38, -3, -3, 11, -1, 1, -16, -2, -13, 1, 14, -12, 0, -14, -1, 2], [-8, -81, 18, -34, 8, -22, -18, -28, 0, -2, 30, -26, 4, -2, -30, 4], [36, -211, 211, -375, 355, 63, 56, 0, 155, -163, 24, 20, 40, 24, 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-
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{'Nk2': 6552, 'analytic_conductor': 13.079495851085728, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 36, 'char_orbit_label': 'bj', 'char_order': 6, 'char_parity': 1, 'char_values': [1638, 6, [911, 703, 379], [6, 6, 5]], 'conrey_index': 127, 'cusp_dim': 640, 'dim': 72, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 2405215241830, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 8, 12, 16, 16], 'label': '1638.2.bj', 'level': 1638, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 704, 'mf_new_dim': 72, 'num_forms': 9, 'prim_orbit_index': 5, 'relative_dim': 36, 'sturm_bound': 672, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 36, 0, 0, 0, 0, 0, 0, -12, 0, 20, -8, 0, -36, -4, 0, 0, 0, 0, -4, -8, 0, -88, 0, 0, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, -32, 0, 0, 60, 0, -12, 0, 0, 12, 0, 0, 36, 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mf_twists_nf • Show schema
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id: 780050
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 36, 'source_dim': 16, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1638.2.bj.h', 'source_level': 1638, 'target_char_orbit': 36, 'target_dim': 16, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1638.2.bj.h', 'target_level': 1638, 'twist_class_label': '1638.2.bj.h', 'twist_class_level': 1638, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 780051
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 36, 'source_dim': 16, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1638.2.bj.h', 'source_level': 1638, 'target_char_orbit': 36, 'target_dim': 16, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '1638.2.bj.h', 'target_level': 1638, 'twist_class_label': '1638.2.bj.h', 'twist_class_level': 1638, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 780052
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 36, 'source_dim': 16, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1638.2.bj.h', 'source_level': 1638, 'target_char_orbit': 36, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1638.2.bj.i', 'target_level': 1638, 'twist_class_label': '1638.2.bj.h', 'twist_class_level': 1638, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 780053
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 36, 'source_dim': 16, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '1638.2.bj.h', 'source_level': 1638, 'target_char_orbit': 36, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1638.2.bj.i', 'target_level': 1638, 'twist_class_label': '1638.2.bj.h', 'twist_class_level': 1638, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2097150
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 4]], 'hecke_orbit_code': 31527602606835302, 'p': 2}
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id: 2097151
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 31527602606835302, 'p': 3}
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id: 2097152
{'charpoly_factorization': [[[1024, 0, 50688, 0, 111760, 0, 96800, 0, 40824, 0, 8752, 0, 953, 0, 50, 0, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 5}
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id: 2097153
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 4]], 'hecke_orbit_code': 31527602606835302, 'p': 7}
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id: 2097154
{'charpoly_factorization': [[[11075584, -21086208, 9853952, 6716160, -5632240, -1784016, 2108476, 211620, -365343, -41736, 41282, 9276, -881, -360, 18, 12, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 11}
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id: 2097155
{'charpoly_factorization': [[[815730721, -627485170, 154457888, -19307236, -514098, 2447458, -95992, -275054, 93063, -21158, -568, 1114, -18, -52, 32, -10, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 13}
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id: 2097156
{'charpoly_factorization': [[[184226329, -525790874, 1683488100, 331150540, 430838186, 30584058, 55582056, 4611250, 4008435, 263106, 191880, 13770, 5746, 316, 108, 6, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 17}
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id: 2097157
{'charpoly_factorization': [[[11075584, -19169280, -122880, 19353600, 4654848, -6456576, -1107680, 1290312, 293945, -126792, -32790, 8328, 3055, 0, -62, 0, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 19}
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id: 2097158
{'charpoly_factorization': [[[112123183104, 45517897728, 34428076032, 8547717120, 5090427136, 1202383360, 437649024, 77808384, 21128752, 3191616, 700424, 83496, 14313, 1340, 191, 12, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 23}
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id: 2097159
{'charpoly_factorization': [[[37903417344, -11335514112, 19043144064, -2498825616, 6509824033, -1171345832, 686651249, -152275864, 57640114, -10683592, 2125089, -238912, 31330, -2592, 289, -16, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 29}
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id: 2097160
{'charpoly_factorization': [[[645566464, 0, 4313908736, 0, 5194909712, 0, 952812832, 0, 69237240, 0, 2387792, 0, 40849, 0, 330, 0, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 31}
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id: 2097161
{'charpoly_factorization': [[[897122304, 3985293312, 5367794688, -2369993472, -1403069552, 610880352, 282512144, -208491360, 41032940, -26184, -886932, 34296, 15549, -894, -137, 6, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 37}
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id: 2097162
{'charpoly_factorization': [[[887876521984, -1386406253568, 727807506880, -9665258736, -61994973167, 3449921196, 5090633805, -957360372, -41310946, 21410844, 125857, -376428, 18750, 2340, -147, -12, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 41}
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id: 2097163
{'charpoly_factorization': [[[4269838336, -2519664640, 3734445824, 756510080, 1124593424, 102325792, 113797136, 4141440, 8417356, -11832, 371564, -9648, 12085, -250, 155, 6, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 43}
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id: 2097164
{'charpoly_factorization': [[[7653323063296, 0, 5743049361408, 0, 793661977920, 0, 42953645248, 0, 1152022433, 0, 16849476, 0, 136870, 0, 580, 0, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 47}
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id: 2097165
{'charpoly_factorization': [[[-4239, 54108, 52848, 1692, -5442, -876, 64, 20, 1], 2]], 'hecke_orbit_code': 31527602606835302, 'p': 53}
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id: 2097166
{'charpoly_factorization': [[[37748736, -94371840, 51118080, 68812800, -23478272, -27795456, 5933056, 10063872, 2581888, -185088, -143440, 2592, 7033, 558, -81, -6, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 59}
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id: 2097167
{'charpoly_factorization': [[[3444868249, -6299754462, 19705678564, 12661265860, 20816460554, -44673762, 2093842792, 205673574, 131330323, 5677718, 2669576, 25294, 41682, 20, 236, 2, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 61}
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id: 2097168
{'charpoly_factorization': [[[102072582144, -458345152512, 719643475968, -150853582848, -68996722688, 18914107392, 7402575872, -63611904, -195903040, -4017792, 4011744, 259584, -32583, -3030, 199, 30, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 67}
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id: 2097169
{'charpoly_factorization': [[[7251876788834304, 1243426001596416, -246011101844736, -54367057764096, 6370555536016, 1379381843136, -100076137904, -21662070144, 1391011660, 222176496, -13374724, -1510728, 104749, 5148, -381, -12, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 71}
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id: 2097170
{'charpoly_factorization': [[[5464074551296, 0, 4036813463552, 0, 654446577920, 0, 42200036608, 0, 1307113056, 0, 20861456, 0, 171385, 0, 678, 0, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 73}
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id: 2097171
{'charpoly_factorization': [[[975168, -604128, -212924, 67204, 13017, -1380, -214, 8, 1], 2]], 'hecke_orbit_code': 31527602606835302, 'p': 79}
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id: 2097172
{'charpoly_factorization': [[[331776, 0, 18749952, 0, 175123600, 0, 305506720, 0, 79092504, 0, 3216672, 0, 51953, 0, 374, 0, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 83}
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id: 2097173
{'charpoly_factorization': [[[1357129898491536, -1076981152070304, 272048119695564, 10189053010632, -8612783515451, 28391533134, 197763280189, -9669493842, -2142079830, 154001814, 17239353, -1832478, -36166, 8490, 17, -30, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 89}
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id: 2097174
{'charpoly_factorization': [[[4165233987813376, 3520054271410176, 1085966218362880, 79746255372288, -17815099218944, -2497719277056, 241246805376, 44798477376, -1182247792, -408070368, 3291808, 2686512, 37500, -9792, -216, 24, 1], 1]], 'hecke_orbit_code': 31527602606835302, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 36, 'hecke_orbit': 8, 'label': '1638.2.bj.h', 'level': 1638, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 194829000
{'hecke_orbit_code': 31527602606835302, 'n': 1, 'trace_an': 16}
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id: 194829001
{'hecke_orbit_code': 31527602606835302, 'n': 2, 'trace_an': 0}
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id: 194829002
{'hecke_orbit_code': 31527602606835302, 'n': 3, 'trace_an': 0}
-
id: 194829003
{'hecke_orbit_code': 31527602606835302, 'n': 4, 'trace_an': 8}
-
id: 194829004
{'hecke_orbit_code': 31527602606835302, 'n': 5, 'trace_an': 0}
-
id: 194829005
{'hecke_orbit_code': 31527602606835302, 'n': 6, 'trace_an': 0}
-
id: 194829006
{'hecke_orbit_code': 31527602606835302, 'n': 7, 'trace_an': 0}
-
id: 194829007
{'hecke_orbit_code': 31527602606835302, 'n': 8, 'trace_an': 0}
-
id: 194829008
{'hecke_orbit_code': 31527602606835302, 'n': 9, 'trace_an': 0}
-
id: 194829009
{'hecke_orbit_code': 31527602606835302, 'n': 10, 'trace_an': 2}
-
id: 194829010
{'hecke_orbit_code': 31527602606835302, 'n': 11, 'trace_an': -12}
-
id: 194829011
{'hecke_orbit_code': 31527602606835302, 'n': 12, 'trace_an': 0}
-
id: 194829012
{'hecke_orbit_code': 31527602606835302, 'n': 13, 'trace_an': 10}
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id: 194829013
{'hecke_orbit_code': 31527602606835302, 'n': 14, 'trace_an': -16}
-
id: 194829014
{'hecke_orbit_code': 31527602606835302, 'n': 15, 'trace_an': 0}
-
id: 194829015
{'hecke_orbit_code': 31527602606835302, 'n': 16, 'trace_an': -8}
-
id: 194829016
{'hecke_orbit_code': 31527602606835302, 'n': 17, 'trace_an': -6}
-
id: 194829017
{'hecke_orbit_code': 31527602606835302, 'n': 18, 'trace_an': 0}
-
id: 194829018
{'hecke_orbit_code': 31527602606835302, 'n': 19, 'trace_an': 0}
-
id: 194829019
{'hecke_orbit_code': 31527602606835302, 'n': 20, 'trace_an': 0}
-
id: 194829020
{'hecke_orbit_code': 31527602606835302, 'n': 21, 'trace_an': 0}
-
id: 194829021
{'hecke_orbit_code': 31527602606835302, 'n': 22, 'trace_an': -4}
-
id: 194829022
{'hecke_orbit_code': 31527602606835302, 'n': 23, 'trace_an': -12}
-
id: 194829023
{'hecke_orbit_code': 31527602606835302, 'n': 24, 'trace_an': 0}
-
id: 194829024
{'hecke_orbit_code': 31527602606835302, 'n': 25, 'trace_an': -20}
-
id: 194829025
{'hecke_orbit_code': 31527602606835302, 'n': 26, 'trace_an': -2}
-
id: 194829026
{'hecke_orbit_code': 31527602606835302, 'n': 27, 'trace_an': 0}
-
id: 194829027
{'hecke_orbit_code': 31527602606835302, 'n': 28, 'trace_an': 0}
-
id: 194829028
{'hecke_orbit_code': 31527602606835302, 'n': 29, 'trace_an': 16}
-
id: 194829029
{'hecke_orbit_code': 31527602606835302, 'n': 30, 'trace_an': 0}
-
id: 194829030
{'hecke_orbit_code': 31527602606835302, 'n': 31, 'trace_an': 0}
-
id: 194829031
{'hecke_orbit_code': 31527602606835302, 'n': 32, 'trace_an': 0}
-
id: 194829032
{'hecke_orbit_code': 31527602606835302, 'n': 33, 'trace_an': 0}
-
id: 194829033
{'hecke_orbit_code': 31527602606835302, 'n': 34, 'trace_an': 0}
-
id: 194829034
{'hecke_orbit_code': 31527602606835302, 'n': 35, 'trace_an': 2}
-
id: 194829035
{'hecke_orbit_code': 31527602606835302, 'n': 36, 'trace_an': 0}
-
id: 194829036
{'hecke_orbit_code': 31527602606835302, 'n': 37, 'trace_an': -6}
-
id: 194829037
{'hecke_orbit_code': 31527602606835302, 'n': 38, 'trace_an': 0}
-
id: 194829038
{'hecke_orbit_code': 31527602606835302, 'n': 39, 'trace_an': 0}
-
id: 194829039
{'hecke_orbit_code': 31527602606835302, 'n': 40, 'trace_an': 4}
-
id: 194829040
{'hecke_orbit_code': 31527602606835302, 'n': 41, 'trace_an': 12}
-
id: 194829041
{'hecke_orbit_code': 31527602606835302, 'n': 42, 'trace_an': 0}
-
id: 194829042
{'hecke_orbit_code': 31527602606835302, 'n': 43, 'trace_an': -6}
-
id: 194829043
{'hecke_orbit_code': 31527602606835302, 'n': 44, 'trace_an': 0}
-
id: 194829044
{'hecke_orbit_code': 31527602606835302, 'n': 45, 'trace_an': 0}
-
id: 194829045
{'hecke_orbit_code': 31527602606835302, 'n': 46, 'trace_an': 6}
-
id: 194829046
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