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mf_newforms • Show schema
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{'Nk2': 1700, 'analytic_conductor': 3.3936420859044163, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 85, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [425, 4, [52, 326], [2, 1]], 'cm_discs': [], 'conrey_index': 149, 'dim': 12, 'field_disc': 3763724161024000000, 'field_disc_factorization': [[2, 18], [5, 6], [30313, 2]], 'field_poly': [1, 0, 278, 0, 519, 0, 364, 0, 119, 0, 18, 0, 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': [[2, [-1, 16, 11, -12, -7, 2, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 618508845481, 'hecke_ring_generator_nbound': 9, '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, 85, 10, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '425.2.j.a', 'level': 425, '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': False, 'level_primes': [5, 17], 'level_radical': 85, 'minimal_twist': '425.2.e.c', 'prim_orbit_index': 10, 'qexp_display': 'q+\\beta _{8}q^{2}-\\beta _{4}q^{3}+(1-\\beta _{2})q^{4}+(1+\\beta _{5}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '425.2.j', 'trace_display': [-4, -2, 0, 0], 'trace_hash': 246019942989850236, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.749', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '398.345', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22009.799', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.247', 'prec': 17}, 'traces': [12, -4, -2, 12, 0, 6, 0, -12, 0, 0, -4, 4, 0, -14, 0, 4, 10, 0, 0, 0, 8, -10, -12, 8, 0, 0, 22, 34, 6, 0, -6, -48, 0, -30, 0, 0, -18, 0, -16, 0, 6, 56, -16, -32, 0, 30, 0, -10, 0, 0, -40, 0, 48, -16, 0, -56, -18, 6, 0, 0, -8, -22, -30, 44, 0, 0, 0, 18, 72, 0, -20, 0, -18, 26, 0, 0, 24, -38, 14, 0, -8, 10, 52, -36, 0, 84, -48, 66, 24, 0, 12, -32, -60, 0, 0, 22, 52, 0, -30, 0, -8, 64, 0, 0, 0, -32, -30, -24, 34, 0, 0, 136, 8, 54, 0, -2, -52, 0, -30, 0, 0, -124, 0, -60, 0, 64, 92, -72, -46, 0, -10, 0, 10, 0, 0, -82, 0, -28, -44, 0, -76, -26, -2, 0, 0, -70, -22, -10, 8, 0, 0, 0, 28, 136, 0, -42, 0, 64, -12, 0, 0, 104, -24, -42, 0, 32, -8, 28, 8, 0, 104, -96, 14, 4, 0, 0, -98, -36, 0, 0, 54, 36, 0, 2, 0, -24, 44, 0, 0, 0, 96, -104, 50, 16, 0, 0, 60, 58, -16, 0, 8, -20, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, -1, 1, -1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 1, 0, -1, -1], [0, 1, 0, 1, 1, 0, 0, 1, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 1, 0, -1, 1, 0, -1, -1, -1, 0, 0], [1, 1, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0], [0, 1, 0, 0, 0, 0, 0, 2, 0, 1, -1, 1], [0, -1, 1, 1, 0, 0, 0, 0, 1, 1, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, -1, 1, -1, 0, -4, 0, 2, 2], [0, 1, 0, 0, 1, -1, -1, 1, -1, 1, 0, 1], [0, -1, 0, -1, -1, 0, 0, -1, 0, 1, 1, -1], [0, -2, 0, -1, -1, 0, 0, -2, 0, -1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, 1, 0, 0, 0, 2, 0, 0, 0], [-1, -2, 0, 0, -2, 1, 0, -2, -2, 0, 1, 0], [-1, 1, 1, 3, 0, 0, -1, 2, -1, 1, 0, 2], [0, 0, -1, 0, -1, -1, 0, 1, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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[0, 4, 0, -3, -3, -1, -1, 8, 0, 8, 1, -1], [0, 8, -3, 0, 11, -2, 0, 2, 8, 3, -8, 0], [7, -10, 2, -5, 0, 0, -1, -6, 10, 2, 0, -6], [-3, 0, 2, -1, 1, 4, -4, 0, -14, 0, 1, 1], [-5, -4, 3, 0, -12, 8, 0, -13, -4, -3, 10, 0], [0, 4, 0, -1, -1, 4, 4, -14, 0, -2, 2, -2], [10, -6, -2, -9, 0, 0, 4, -14, 6, -2, 0, -9], [2, 6, -2, 0, -4, 5, 0, -3, 6, 2, 2, 0], [0, -1, 0, 5, 5, -5, -5, -2, 0, 5, 1, -1], [-2, 0, 1, 0, 0, 0, 0, 0, -14, 0, 2, 2], [0, 2, 0, 9, 9, 1, 1, 0, 0, 2, -2, 2], [-3, -9, 2, 0, -7, 4, 0, -7, -9, -2, 16, 0], [0, 2, 0, -1, -1, 1, 1, -14, 0, 1, 1, -1], [6, 0, 8, 9, -9, 2, -2, 0, -18, 0, 4, 4], [15, 0, 1, 9, -9, 1, -1, 0, -8, 0, 0, 0], [18, 0, 5, 5, -5, 6, -6, 0, -2, 0, 3, 3], [-13, -14, 3, 0, -14, 6, 0, -19, -14, -3, 12, 0], [5, 9, -1, 0, 13, -4, 0, 9, 9, 1, -12, 0], [0, 20, 0, 12, 12, -7, -7, 21, 0, 4, -11, 11], [-10, 2, 0, 0, -3, 2, 0, -12, 2, 0, 5, 0], [0, -1, -1, 0, 5, -7, 0, 7, -1, 1, -8, 0], [0, -10, 0, 2, 2, 5, 5, -10, 0, -1, 1, -1], [-2, -11, -1, -7, 0, 0, 6, -4, 11, -1, 0, -7], [6, -12, 2, 0, -18, 3, 0, 3, -12, -2, 6, 0], [0, 10, 0, 0, 0, -1, -1, 16, 0, 7, -6, 6], [1, -4, 2, -3, 0, 0, 4, -5, 4, 2, 0, -5], [10, 0, -7, -6, 6, -6, 6, 0, 24, 0, -7, -7], [0, 0, 0, 1, 1, 4, 4, -11, 0, -6, -3, 3], [-8, -2, 0, -6, 0, 0, -2, 10, 2, 0, 0, 4], [8, 6, -7, 0, 0, -6, 0, 14, 6, 7, -2, 0], [-4, 4, -2, 0, 4, -1, 0, -3, 4, 2, -14, 0], [11, 6, 1, 0, -1, -3, 0, 14, 6, -1, -3, 0], [10, 0, 11, 3, -3, 1, -1, 0, -12, 0, -1, -1], [1, 5, 3, 0, 0, 0, -8, 7, -5, 3, 0, 6], [-4, 10, 4, 6, 0, 0, 2, 2, -10, 4, 0, 13], [0, 0, 0, -9, -9, 0, 0, 0, 0, -1, 3, -3], [9, 0, -8, -2, 2, -5, 5, 0, 10, 0, -1, -1], [0, -4, 0, -1, -1, -3, -3, 6, 0, 6, -5, 5], [-9, 7, -1, 0, 9, -2, 0, -7, 7, 1, -6, 0], [4, -9, -6, 3, 0, 0, 3, -7, 9, -6, 0, -10], [-8, 0, -5, 5, -5, -1, 1, 0, -2, 0, -3, -3], [0, 0, -2, -1, 1, 1, -1, 0, -7, 0, -4, -4], [14, 0, -4, -1, 1, 7, -7, 0, 1, 0, 4, 4], [4, 0, 11, 8, -8, 10, -10, 0, -11, 0, 5, 5], [16, 2, -2, 0, 6, 0, 0, 16, 2, 2, -5, 0], [-13, 0, 8, 5, -5, 2, -2, 0, -16, 0, 9, 9], [-2, 0, -7, 0, -6, 0, 0, -2, 0, 7, 4, 0], [-6, -4, -8, 2, 0, 0, -4, 10, 4, -8, 0, 5], [0, 10, 8, 16, 0, 0, -4, 4, -10, 8, 0, 6], [-12, 10, 3, 6, 0, 0, -3, 15, -10, 3, 0, 8], [7, -7, -1, -13, 0, 0, 5, -12, 7, -1, 0, -14], [1, 0, 11, 8, -8, 3, -3, 0, -8, 0, -3, -3], [-4, -2, 6, 0, -12, 8, 0, -12, -2, -6, 13, 0], [-3, 13, -3, 0, 15, -6, 0, 3, 13, 3, -9, 0], [-7, 0, 2, -5, 0, 0, 2, 5, 0, 2, 0, -1], [0, -4, 0, 2, 2, 2, 2, -8, 0, 6, 4, -4], [0, 8, 0, 1, 1, -4, -4, 24, 0, 8, -4, 4], [5, -4, 1, 9, 0, 0, 0, -5, 4, 1, 0, -9], [5, 1, 1, 1, 0, 0, -6, 1, -1, 1, 0, 5], [0, 0, 0, 5, 5, 4, 4, -2, 0, -3, 4, -4], [8, 6, 5, 0, 3, -6, 0, 14, 6, -5, -8, 0], [-6, -1, -2, -1, 0, 0, 7, -1, 1, -2, 0, -10], [12, 15, -11, 0, 7, -5, 0, 17, 15, 11, -9, 0], [2, 0, 1, -2, 2, 4, -4, 0, -18, 0, 3, 3], [-6, -9, 9, 0, -11, 2, 0, -8, -9, -9, -1, 0], [3, 0, 3, 4, -4, -3, 3, 0, 10, 0, 1, 1], [-4, 2, -10, 0, 1, -8, 0, 4, 2, 10, -9, 0], [-15, -4, 0, 0, 7, -5, 0, -10, -4, 0, 10, 0], [0, 7, 0, -4, -4, -3, -3, 2, 0, 0, -7, 7], [-10, 0, 3, 8, -8, 7, -7, 0, -10, 0, 9, 9], [0, -8, 0, -2, -2, 5, 5, -4, 0, -2, 7, -7], [-21, 0, -1, -2, 2, -1, 1, 0, 4, 0, -3, -3], [-1, 4, 2, 0, -3, 1, 0, -2, 4, -2, 7, 0], [-10, 10, 2, 12, 0, 0, 2, 8, -10, 2, 0, -3], [6, -4, -3, 6, 0, 0, -4, -2, 4, -3, 0, 14]], 'char_orbit_index': 10, 'field_poly': [1, 0, 278, 0, 519, 0, 364, 0, 119, 0, 18, 0, 1], 'hecke_orbit_code': 618508845481, 'hecke_ring_character_values': [[52, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [326, [0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 20, 20, 20, 20, 10, 10, 10, 20, 20], '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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -5, 0, 0, 0, 0, 0, 0, 0, 1, 1, -1], [13, 0, -6, 1, -1, 1, -1, 0, -4, 0, 2, 2], [0, 29, 0, 0, 0, -1, -1, -2, 0, -10, -9, 9], [-67, 0, 39, -7, 7, -9, 9, 0, 42, 0, -20, -20], [0, -185, 0, -2, -2, 13, 13, 28, 0, 81, 68, -68], [389, 0, -266, 42, -42, 66, -66, 0, -352, 0, 162, 162], [0, 1245, 0, 30, 30, -120, -120, -276, 0, -618, -494, 494], [-2447, 0, 1863, -254, 254, -464, 464, 0, 2740, 0, -1232, -1232], [0, -8637, 0, -304, -304, 978, 978, 2364, 0, 4603, 3559, -3559]], '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], [3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, -97, 29, 262, -62, 414, -58, 186, -14, 33, -1, 2], [-6, -97, -29, 262, 62, 414, 58, 186, 14, 33, 1, 2], [-22, 6, -653, 29, -776, -62, -314, -58, -52, -14, -3, -1], [22, 6, 653, 29, 776, -62, 314, -58, 52, -14, 3, -1], [0, 168, 0, 507, 0, 479, 0, 191, 0, 33, 0, 2], [2, 0, 388, 0, 531, 0, 249, 0, 47, 0, 3, 0], [0, -502, 0, -1133, 0, -906, 0, -324, 0, -52, 0, -3], [37, 552, 1118, 1143, 1486, 906, 684, 324, 127, 52, 8, 3], [37, -552, 1118, -1143, 1486, -906, 684, -324, 127, -52, 8, -3]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '425.2.j.a', 'level': 425, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 1700, 'analytic_conductor': 3.3936420859044163, 'char_conductor': 85, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 4, 'char_parity': 1, 'char_values': [425, 4, [52, 326], [2, 1]], 'conrey_index': 149, 'cusp_dim': 80, 'dim': 48, 'eis_dim': 24, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 618508845481, 'hecke_orbit_dims': [12, 12, 12, 12], 'label': '425.2.j', 'level': 425, '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': False, 'level_primes': [5, 17], 'level_radical': 85, 'mf_dim': 104, 'mf_new_dim': 56, 'num_forms': 4, 'prim_orbit_index': 10, 'relative_dim': 24, 'sturm_bound': 90, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, 48, 0, 12, 0, 0, 0, 0, -16, 0, 0, -20, 0, 16, 0, 0, 0, 0, -16, 0, 0, 8, 0, 0, 0, 0, 36, 0, -12, 0, 0, -36, 0, 0, 0, 0, 8, 0, -36, 0, 0, -80, 0, 12, 0, 0, 0, 0, -16, 0, 0, -88, 0, -32, 0, 0, 0, 0, 64, 0, 0, 32, 0, 0, 0, 0, 144, 0, 16, 0, 0, -4, 0, 0, 0, 0, 44, 0, 40, 0, 0, -72, 0, -24, 0, 0, 0, 0, -48, 0, 0, 0, 0, -20, 0, 0, -60, 0, 16, 0, 0, 0, 0, -176, 0, 0, 52, 0, 0, 0, 0, 12, 0, -44, 0, 0, -36, 0, 0, 0, 0, -48, 0, 16, 0, 0, -196, 0, -52, 0, 0, 0, 0, -52, 0, 0, -80, 0, -64, 0, 0, 0, 0, -28, 0, 0, 80, 0, 0, 0, 0, 256, 0, 132, 0, 0, 72, 0, 0, 0, 0, -36, 0, 128, 0, 0, -136, 0, 32, 0, 0, 280, 0, -72, 0, 0, 0, 0, 84, 0, 0, -4, 0, 48, 0, 0, 0, 0, 240, 0, 0, 88, 0, 0, 0, 0, 32, 0, -40, 0, 0, -76, 0, 0, 0, 0, -72, 0, 20, 0, 0, -288, 0, 196, 0, 0, 0, 0, 4, 0, 0, -380, 0, 72, 0, 0, 0, 0, 80, 0, 0, 96, 0, 0, 0, 0, 368, 0, -168, 0, 0, 136, 0, 0, 0, 0, 16, 0, -24, 0, 0, 0, 0, -80, 0, 0, 104, 0, 40, 0, 0, 0, 0, -44, 0, 0, 32, 0, -16, 0, 0, 0, 0, -264, 0, 0, 16, 0, 0, 0, 0, 156, 0, 32, 0, 0, -40, 0, 0, 0, 0, -80, 0, 164, 0, 0, 28, 0, -164, 0, 0, 0, 0, 160, 0, 0, -192, 0, 176, 0, 0, 0, 0, 64, 0, 0, -40, 0, 0, 0, 0, 88, 0, 104, 0, 0, -152, 0, 0, 0, 0, 52, 0, -384, 0, 0, 88, 0, -256, 0, 0, 64, 0, 60, 0, 0, 0, 0, 124, 0, 0, -116, 0, -8, 0, 0, 0, 0, 64, 0, 0, 436, 0, 0, 0, 0, 48, 0, 244, 0, 0, -228, 0, 0, 0, 0, -300, 0, -236, 0, 0, -104, 0, -52, 0, 0, 0, 0, 8, 0, 0, -56, 0, 12, 0, 0, 0, 0, -68, 0, 0, -40, 0, 0, 0, 0, -48, 0, -96, 0, 0, 76, 0, 0, 0, 0, -56, 0, -232, 0, 0, -312, 0, 80, 0, 0, 216, 0, -84, 0, 0, 0, 0, -4, 0, 0, 8, 0, -160, 0, 0, 0, 0, -208, 0, 0, -68, 0, 0, 0, 0, 288, 0, -100, 0, 0, -264, 0, 0, 0, 0, -100, 0, -364, 0, 0, -264, 0, -168, 0, 0, 0, 0, 376, 0, 0, 160, 0, -132, 0, 0, 0, 0, 92, 0, 0, -368, 0, 0, 0, 0, 360, 0, 108, 0, 0, 180, 0, 0, 0, 0, 320, 0, 296, 0, 0, -64, 0, -24, 0, 0, -96, 0, -12, 0, 0, 0, 0, -160, 0, 0, 168, 0, 216, 0, 0, 0, 0, 408, 0, 0, -36, 0, 0, 0, 0, -308, 0, 372, 0, 0, -204, 0, 0, 0, 0, -104, 0, 184, 0, 0, -92, 0, 140, 0, 0, 0, 0, -480, 0, 0, 96, 0, 84, 0, 0, 0, 0, 68, 0, 0, 288, 0, 0, 0, 0, -56, 0, -96, 0, 0, 228, 0, 0, 0, 0, -132, 0, 184, 0, 0, 72, 0, -16, 0, 0, -24, 0, -248, 0, 0, 0, 0, -76, 0, 0, 36, 0, -136, 0, 0, 0, 0, 128, 0, 0, 168, 0, 0, 0, 0, 160, 0, -340, 0, 0, 404, 0, 0, 0, 0, -92, 0, 252, 0, 0, -12, 0, -76, 0, 0, 0, 0, 104, 0, 0, -120, 0, -116, 0, 0, 0, 0, -452, 0, 0, 208, 0, 0, 0, 0, 136, 0, 136, 0, 0, 136, 0, 0, 0, 0, 176, 0, -248, 0, 0, 152, 0, 64, 0, 0, -24, 0, 824, 0, 0, 0, 0, 328, 0, 0, 116, 0, 216, 0, 0, 0, 0, 400, 0, 0, -224, 0, 0, 0, 0, 248, 0, 220, 0, 0, -180, 0, 0, 0, 0, 32, 0, 264, 0, 0, 276, 0, 360, 0, 0, 0, 0, -72, 0, 0, -416, 0, 308, 0, 0, 0, 0, 244, 0, 0, -704, 0, 0, 0, 0, 88, 0, 104, 0, 0, -668, 0, 0, 0, 0, 236, 0, 72, 0, 0, 608, 0, -408, 0, 0, 56, 0, -60, 0, 0, 0, 0, -440, 0, 0, -224, 0, 440, 0, 0, 0, 0, -656, 0, 0, 304, 0, 0, 0, 0, -264, 0, -224, 0, 0, -16, 0, 0, 0, 0, -176, 0, -140, 0, 0, 208, 0, -216, 0, 0, 0, 0, 24, 0, 0, 344, 0, 128, 0, 0, 0, 0, -196, 0, 0, 48, 0, 0, 0, 0, -224, 0, 104, 0, 0, -144, 0, 0, 0, 0, -240, 0, -224, 0, 0, -336, 0, -56, 0, 0, -280, 0, -420, 0, 0, 0, 0, -20, 0, 0, 16, 0, -1088, 0, 0, 0, 0, -88, 0, 0, -400, 0, 0, 0, 0, 480, 0, -356, 0, 0, -68, 0, 0, 0, 0, 124, 0, -436, 0, 0, 300, 0, -416, 0, 0, 0, 0, 60, 0, 0, 176, 0, -344, 0, 0, 0, 0, 80, 0, 0, -528, 0, 0, 0, 0, -16, 0, -24, 0, 0, 40, 0, 0, 0, 0, -68, 0, 104, 0, 0, -200, 0, 176, 0, 0, -504, 0, 36, 0, 0, 0, 0, -104, 0, 0, 84, 0, 216, 0, 0, 0, 0, 312, 0, 0, -368, 0, 0, 0, 0, -744, 0, -180, 0, 0, -68, 0, 0, 0, 0, -52, 0, 176, 0, 0, 56, 0, 24, 0, 0, 0, 0, -140, 0, 0, 304, 0, -392, 0, 0, 0, 0, -16, 0, 0, 472, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 311699
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.j.a', 'source_level': 425, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '425.2.e.c', 'target_level': 425, 'twist_class_label': '425.2.e.c', 'twist_class_level': 425, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 311700
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.j.a', 'source_level': 425, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '425.2.e.c', 'target_level': 425, 'twist_class_label': '425.2.e.c', 'twist_class_level': 425, 'twisting_char_label': '85.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 311701
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.j.a', 'source_level': 425, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '425.2.e.e', 'target_level': 425, 'twist_class_label': '425.2.e.c', 'twist_class_level': 425, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 311702
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.j.a', 'source_level': 425, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '425.2.e.e', 'target_level': 425, 'twist_class_label': '425.2.e.c', 'twist_class_level': 425, 'twisting_char_label': '85.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 311703
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.j.a', 'source_level': 425, 'target_char_orbit': 10, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '425.2.j.a', 'target_level': 425, 'twist_class_label': '425.2.e.c', 'twist_class_level': 425, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 311704
{'conductor': 85, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.j.a', 'source_level': 425, 'target_char_orbit': 10, 'target_dim': 12, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '425.2.j.a', 'target_level': 425, 'twist_class_label': '425.2.e.c', 'twist_class_level': 425, 'twisting_char_label': '85.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 311705
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.j.a', 'source_level': 425, 'target_char_orbit': 10, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '425.2.j.d', 'target_level': 425, 'twist_class_label': '425.2.e.c', 'twist_class_level': 425, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 311706
{'conductor': 17, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.j.a', 'source_level': 425, 'target_char_orbit': 10, 'target_dim': 12, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '425.2.j.d', 'target_level': 425, 'twist_class_label': '425.2.e.c', 'twist_class_level': 425, 'twisting_char_label': '17.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 311707
{'conductor': 85, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.j.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '7225.2.a.bm', 'target_level': 7225, 'twist_class_label': '425.2.e.c', 'twist_class_level': 425, 'twisting_char_label': '85.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 311708
{'conductor': 85, 'degree': 4, 'multiplicity': 2, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 12, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '425.2.j.a', 'source_level': 425, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '7225.2.a.br', 'target_level': 7225, 'twist_class_label': '425.2.e.c', 'twist_class_level': 425, 'twisting_char_label': '85.k', 'twisting_char_orbit': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 867475
{'charpoly_factorization': [[[-1, 16, 11, -12, -7, 2, 1], 2]], 'hecke_orbit_code': 618508845481, 'p': 2}
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id: 867476
{'charpoly_factorization': [[[25, -40, 32, 112, 271, -70, 16, 26, 43, -10, 2, 2, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 3}
-
id: 867477
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 618508845481, 'p': 5}
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id: 867478
{'charpoly_factorization': [[[7225, -510, 18, -1070, 6775, -1950, 200, 494, 415, 20, 0, 0, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 7}
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id: 867479
{'charpoly_factorization': [[[4, 240, 7200, 17352, 20848, -1832, 168, 312, 496, -76, 8, 4, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 11}
-
id: 867480
{'charpoly_factorization': [[[570025, 0, 506190, 0, 167991, 0, 26284, 0, 2031, 0, 74, 0, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 13}
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id: 867481
{'charpoly_factorization': [[[24137569, -14198570, 5846470, -1621290, 383503, -94860, 21620, -5580, 1327, -330, 70, -10, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 17}
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id: 867482
{'charpoly_factorization': [[[16, 0, 7536, 0, 26960, 0, 18200, 0, 1960, 0, 76, 0, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 19}
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id: 867483
{'charpoly_factorization': [[[8584900, 5274000, 1620000, 554920, 793720, 517000, 185768, 34128, 3244, 140, 72, 12, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 23}
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id: 867484
{'charpoly_factorization': [[[35344, -63168, 56448, -22560, 7520, -5592, 5184, -2064, 400, 0, 18, -6, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 29}
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id: 867485
{'charpoly_factorization': [[[10609, 49852, 117128, 131476, 67763, -12574, 7464, 4838, 1727, -138, 18, 6, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 31}
-
id: 867486
{'charpoly_factorization': [[[5396371600, 3155841600, 922780800, 110271920, 11525920, 3053880, 941672, 108592, 6976, 484, 162, 18, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 37}
-
id: 867487
{'charpoly_factorization': [[[35344, -391040, 2163200, 2909552, 1889888, 367288, 25928, -4928, 1856, 244, 18, -6, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 41}
-
id: 867488
{'charpoly_factorization': [[[1076, -3524, 3112, -384, -104, 8, 1], 2]], 'hecke_orbit_code': 618508845481, 'p': 43}
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id: 867489
{'charpoly_factorization': [[[54804682816, 0, 7219644864, 0, 344971120, 0, 7596320, 0, 84540, 0, 464, 0, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 47}
-
id: 867490
{'charpoly_factorization': [[[-24049, 27728, -10149, 996, 117, -24, 1], 2]], 'hecke_orbit_code': 618508845481, 'p': 53}
-
id: 867491
{'charpoly_factorization': [[[240994576, 0, 352948256, 0, 87734640, 0, 4084520, 0, 69640, 0, 456, 0, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 59}
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id: 867492
{'charpoly_factorization': [[[80947078144, -9250054144, 528515072, 316628480, 250330880, -12908544, 459904, 141568, 37920, -1040, 32, 8, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 61}
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id: 867493
{'charpoly_factorization': [[[96510976, 0, 41899008, 0, 6590464, 0, 471104, 0, 15744, 0, 228, 0, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 67}
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id: 867494
{'charpoly_factorization': [[[72982849, -104515062, 74835378, -6217258, -267661, 236294, 200888, 794, -13, 604, 200, 20, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 71}
-
id: 867495
{'charpoly_factorization': [[[762163920400, -198971734240, 25971939872, 2925117424, 399352544, -60448072, 7785272, 862712, 52576, -1244, 162, 18, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 73}
-
id: 867496
{'charpoly_factorization': [[[1809056089, -2147235972, 1274317128, -68467100, 16338575, -11902438, 3914024, -498386, 33035, -590, 98, -14, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 79}
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id: 867497
{'charpoly_factorization': [[[344, -1424, -3500, 520, 150, -26, 1], 2]], 'hecke_orbit_code': 618508845481, 'p': 83}
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id: 867498
{'charpoly_factorization': [[[-500, -880, 740, 760, -84, -12, 1], 2]], 'hecke_orbit_code': 618508845481, 'p': 89}
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id: 867499
{'charpoly_factorization': [[[41697640000, 17479520000, 3663680000, -2362025600, 491402800, -44948640, 4881792, -1058288, 190636, -20376, 1352, -52, 1], 1]], 'hecke_orbit_code': 618508845481, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 10, 'hecke_orbit': 1, 'label': '425.2.j.a', 'level': 425, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 10204224
{'hecke_orbit_code': 618508845481, 'n': 1, 'trace_an': 12}
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id: 10204225
{'hecke_orbit_code': 618508845481, 'n': 2, 'trace_an': -4}
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id: 10204226
{'hecke_orbit_code': 618508845481, 'n': 3, 'trace_an': -2}
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id: 10204227
{'hecke_orbit_code': 618508845481, 'n': 4, 'trace_an': 12}
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id: 10204228
{'hecke_orbit_code': 618508845481, 'n': 5, 'trace_an': 0}
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id: 10204229
{'hecke_orbit_code': 618508845481, 'n': 6, 'trace_an': 6}
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id: 10204230
{'hecke_orbit_code': 618508845481, 'n': 7, 'trace_an': 0}
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id: 10204231
{'hecke_orbit_code': 618508845481, 'n': 8, 'trace_an': -12}
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id: 10204232
{'hecke_orbit_code': 618508845481, 'n': 9, 'trace_an': 0}
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id: 10204233
{'hecke_orbit_code': 618508845481, 'n': 10, 'trace_an': 0}
-
id: 10204234
{'hecke_orbit_code': 618508845481, 'n': 11, 'trace_an': -4}
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id: 10204235
{'hecke_orbit_code': 618508845481, 'n': 12, 'trace_an': 4}
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id: 10204236
{'hecke_orbit_code': 618508845481, 'n': 13, 'trace_an': 0}
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id: 10204237
{'hecke_orbit_code': 618508845481, 'n': 14, 'trace_an': -14}
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id: 10204238
{'hecke_orbit_code': 618508845481, 'n': 15, 'trace_an': 0}
-
id: 10204239
{'hecke_orbit_code': 618508845481, 'n': 16, 'trace_an': 4}
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id: 10204240
{'hecke_orbit_code': 618508845481, 'n': 17, 'trace_an': 10}
-
id: 10204241
{'hecke_orbit_code': 618508845481, 'n': 18, 'trace_an': 0}
-
id: 10204242
{'hecke_orbit_code': 618508845481, 'n': 19, 'trace_an': 0}
-
id: 10204243
{'hecke_orbit_code': 618508845481, 'n': 20, 'trace_an': 0}
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id: 10204244
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id: 10204455
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id: 10204456
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id: 10204457
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id: 10204458
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id: 10204459
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id: 10204460
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id: 10204461
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id: 10204462
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id: 10204463
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id: 10204464
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id: 10204465
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id: 10204466
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id: 10204467
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id: 10204468
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id: 10204469
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id: 10204470
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id: 10204471
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id: 10204472
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id: 10204473
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id: 10204474
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id: 10204475
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id: 10204476
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id: 10204477
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id: 10204478
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id: 10204479
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id: 10204480
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id: 10204481
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