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mf_newforms • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [825, 2, [551, 727, 376], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 199, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 6, 0, 1]], [7, [16, 0, 24, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014535981990713, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 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': False, 'label': '825.2.c.e', 'level': 825, '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': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '165.2.a.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(\\beta_{2}+\\beta_1)q^{2}-\\beta_1 q^{3}+(-2\\beta_{3}-1)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '825.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1554856722380786334, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.662', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '69.416', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.652', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1879.449', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.520', 'prec': 17}, 'traces': [4, 0, 0, -4, 0, 4, 0, 0, -4, 0, -4, 0, 0, 8, 0, 12, 0, 0, 16, 0, 8, 0, 0, -12, 0, 32, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 0, 0, 4, 0, 16, 0, 0, -20, 0, 16, 0, 0, -4, 0, 8, 0, 0, 16, 0, -24, 0, 0, 28, 0, -4, 0, 0, -16, 0, 32, 0, 0, 56, 0, -48, 0, 0, 0, 0, 4, 0, 0, 24, 0, 40, 0, 0, 8, 0, -64, 0, 0, -16, 0, -12, 0, 0, 4, 0, 8, 0, 0, -32, 0, -56, 0, 0, -24, 0, -24, 0, 0, 32, 0, -40, 0, 0, -64, 0, 4, 0, 0, 0, 0, -8, 0, 0, -24, 0, -32, 0, 0, -32, 0, 32, 0, 0, 32, 0, 16, 0, 0, -12, 0, -64, 0, 0, -40, 0, 32, 0, 0, -8, 0, 64, 0, 0, -8, 0, 32, 0, 0, -40, 0, 40, 0, 0, -76, 0, -16, 0, 0, 24, 0, -12, 0, 0, 48, 0, -56, 0, 0, -48, 0, 0, 0, 0, -8, 0, 0, 0, 0, 56, 0, -108, 0, 0, 64, 0, 0, 0, 0, 16, 0, 32, 0, 0, -16, 0, 16, 0, 0, 88, 0, 12, 0, 0, 0, 0, -64, 0, 0, 40, 0, 104, 0, 0, 8, 0, -8, 0, 0, -32, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 1, 0], [0, -1, 0, 0], [-1, 0, 0, -2], [0, 0, 0, 0], [1, 0, 0, 1], [0, 2, -2, 0], [0, -3, -1, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 0], [0, 1, 2, 0], [0, 0, -4, 0], [2, 0, 0, 0], [0, 0, 0, 0], [3, 0, 0, 0], [0, 4, -2, 0], [0, -1, -1, 0], [4, 0, 0, 2], [0, 0, 0, 0], [2, 0, 0, -2], [0, -1, -1, 0], [0, -4, 0, 0], [-3, 0, 0, -1], [0, 0, 0, 0], [8, 0, 0, 4], [0, 1, 0, 0], [0, 6, -2, 0], [2, 0, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, 1, 0], [0, 1, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [1, 0, 0, 2], [0, -6, -4, 0], [0, 8, 6, 0], [0, 0, 0, -4], [0, 0, 0, 0], [2, 0, 0, 2], [0, -2, 0, 0], [0, -6, -2, 0], [1, 0, 0, 2], [0, 0, 0, 0], [4, 0, 0, 4], [0, 4, 0, 0], [0, -3, 0, 0], [-5, 0, 0, 8], [0, 0, 0, 0], [4, 0, 0, -2], [0, 16, 4, 0], [0, -2, 8, 0], [-1, 0, 0, -1], [0, 0, 0, 0], [2, 0, 0, -4], [0, -4, -2, 0], [0, 6, 4, 0], [4, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 0, -4], [0, 0, 0, 0], [0, -2, 2, 0], [7, 0, 0, 2], [0, 0, 0, 0], [-1, 0, 0, -1], [0, 0, 4, 0], [0, 4, -6, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [8, 0, 0, -4], [0, 3, 1, 0], [0, 0, 8, 0], [14, 0, 0, 10], [0, 0, 0, 0], [-12, 0, 0, -10], [0, -2, 2, 0], [0, -8, -4, 0], [0, 0, 0, -6], [0, 0, 0, 0], [1, 0, 0, 0], [0, 6, 4, 0], [0, -10, 0, 0], [6, 0, 0, -2], [0, 0, 0, 0], [10, 0, 0, 8], [0, -2, -2, 0], [0, 3, 1, 0], [2, 0, 0, -4], [0, 0, 0, 0], [-16, 0, 0, 8], [0, 4, 8, 0], [0, 0, 0, 0], [-4, 0, 0, -4], [0, 0, 0, 0], [-3, 0, 0, 1], [0, -6, -4, 0], [0, 11, 3, 0], [1, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 1, 1, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 2, -2, 0], [-1, 0, 0, 0], [0, 0, -4, 0], [0, 4, -2, 0], [4, 0, 0, 2], [0, -4, 0, 0], [2, 0, 0, 2], [0, 0, 0, 0], [0, -6, -4, 0], [2, 0, 0, 2], [0, -6, -2, 0], [0, 4, 0, 0], [0, -2, 8, 0], [4, 0, 0, 0], [-6, 0, 0, -4], [0, 0, 4, 0], [8, 0, 0, -4], [0, 0, 8, 0], [0, 0, 0, -6], [0, -10, 0, 0], [2, 0, 0, -4], [0, -6, -4, 0], [2, 0, 0, -2], [0, 8, -8, 0], [0, -6, -8, 0], [-6, 0, 0, -8], [0, -2, -12, 0], [0, 6, 6, 0], [-8, 0, 0, 8], [0, 2, 8, 0], [8, 0, 0, -6], [-10, 0, 0, 6], [8, 0, 0, 6], [0, -18, 0, 0], [0, 4, -8, 0], [0, 2, 8, 0], [0, 0, 2, 0], [12, 0, 0, 4], [-14, 0, 0, 0], [0, 0, 0, 4], [0, 8, 4, 0], [0, 0, 6, 0], [16, 0, 0, 4], [4, 0, 0, -2], [0, -12, 4, 0], [0, 14, 0, 0], [2, 0, 0, 0], [0, -16, -2, 0], [-12, 0, 0, -4], [-18, 0, 0, 4], [4, 0, 0, 12], [0, 22, -4, 0], [0, 18, 0, 0], [2, 0, 0, -16], [8, 0, 0, -14], [0, 8, -4, 0], [-14, 0, 0, 2], [0, -6, -2, 0], [0, -4, -2, 0], [0, 6, -2, 0], [8, 0, 0, -8], [0, 10, 4, 0], [0, -2, 20, 0], [12, 0, 0, -4], [0, 8, -8, 0], [0, 18, 8, 0], [6, 0, 0, -12], [0, 26, 0, 0], [-12, 0, 0, 0], [0, -4, -4, 0], [0, -12, 16, 0], [12, 0, 0, 8], [0, -8, 0, 0], [18, 0, 0, 4], [0, -2, 12, 0], [-18, 0, 0, 8], [14, 0, 0, 4], [20, 0, 0, 12], [-6, 0, 0, 0], [16, 0, 0, 4], [0, -10, -4, 0], [12, 0, 0, 6], [0, 12, 0, 0], [-14, 0, 0, -12], [0, 12, 8, 0], [-14, 0, 0, 10], [0, -12, 12, 0], [0, 0, 16, 0], [-20, 0, 0, -12], [0, -4, 12, 0], [20, 0, 0, -4], [28, 0, 0, -4], [0, 6, 8, 0], [-30, 0, 0, 8], [-10, 0, 0, -16], [0, -18, 6, 0], [6, 0, 0, 8], [0, -6, 10, 0], [0, -8, 2, 0], [0, 26, 4, 0], [10, 0, 0, 18], [-8, 0, 0, -6], [0, -14, 0, 0], [0, 8, -16, 0], [0, -20, -2, 0], [-16, 0, 0, -8], [6, 0, 0, -8], [0, -10, 6, 0], [0, -12, -24, 0], [0, -6, 4, 0], [20, 0, 0, -4], [40, 0, 0, 4], [-10, 0, 0, 12], [0, 4, 24, 0], [0, -16, 8, 0], [0, -10, 12, 0], [4, 0, 0, 8], [-2, 0, 0, 8], [0, 24, -4, 0], [0, -4, -18, 0], [0, 24, 0, 0], [20, 0, 0, 0], [22, 0, 0, 10], [-18, 0, 0, 8], [8, 0, 0, 28], [0, 0, -24, 0], [0, -12, 4, 0], [-16, 0, 0, 22], [0, 42, -4, 0], [-8, 0, 0, 20], [0, 14, 16, 0], [-26, 0, 0, -2], [-22, 0, 0, 8], [0, -2, 4, 0], [0, 6, 10, 0], [0, -18, -12, 0], [14, 0, 0, -30], [-8, 0, 0, 6], [-10, 0, 0, -2], [0, 16, 0, 0], [0, -30, -8, 0], [38, 0, 0, 0], [0, 0, 0, 16], [0, -20, 8, 0], [0, 20, 6, 0], [36, 0, 0, 12], [0, -32, 8, 0], [0, 20, -16, 0], [-30, 0, 0, -12], [0, -28, 16, 0], [0, 10, 4, 0], [0, -24, -12, 0], [-32, 0, 0, -12], [-20, 0, 0, 6], [6, 0, 0, 28], [0, -28, 12, 0], [2, 0, 0, -26], [0, 16, -16, 0], [0, 8, -14, 0], [0, 14, -18, 0], [-12, 0, 0, -16], [0, -14, 8, 0], [0, -8, -16, 0], [-8, 0, 0, -16], [0, 28, 8, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 18014535981990713, 'hecke_ring_character_values': [[551, [1, 0, 0, 0]], [727, [-1, 0, 0, 0]], [376, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 1], [0, 1, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '825.2.c.e', 'level': 825, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [825, 2, [551, 727, 376], [2, 1, 2]], 'conrey_index': 199, 'cusp_dim': 108, 'dim': 28, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 137472508729, 'hecke_orbit_dims': [2, 2, 4, 4, 4, 6, 6], 'label': '825.2.c', 'level': 825, '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': [3, 5, 11], 'level_radical': 165, 'mf_dim': 132, 'mf_new_dim': 28, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 28, 'sturm_bound': 240, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [28, 0, 0, -32, 0, 8, 0, 0, -28, 0, 0, 0, 0, 8, 0, 56, 0, 0, -12, 0, -4, 0, 0, -24, 0, -8, 0, 0, 32, 0, 4, 0, 0, 40, 0, 32, 0, 0, 4, 0, -32, 0, 0, -16, 0, -24, 0, 0, -24, 0, 16, 0, 0, -8, 0, -72, 0, 0, -32, 0, 12, 0, 0, -40, 0, -8, 0, 0, -16, 0, 96, 0, 0, -40, 0, 72, 0, 0, -16, 0, 28, 0, 0, 48, 0, 72, 0, 0, 56, 0, -28, 0, 0, -8, 0, -24, 0, 0, 0, 0, -24, 0, 0, -40, 0, -152, 0, 0, 28, 0, -48, 0, 0, 64, 0, -24, 0, 0, -152, 0, 28, 0, 0, 24, 0, -8, 0, 0, 20, 0, 72, 0, 0, 80, 0, -168, 0, 0, -8, 0, 8, 0, 0, -56, 0, -40, 0, 0, 144, 0, 132, 0, 0, 0, 0, -80, 0, 0, 32, 0, -56, 0, 0, 120, 0, -48, 0, 0, 24, 0, 12, 0, 0, 72, 0, 32, 0, 0, -88, 0, -52, 0, 0, 88, 0, 80, 0, 0, 4, 0, -16, 0, 0, 248, 0, -208, 0, 0, 4, 0, 4, 0, 0, -72, 0, -176, 0, 0, -16, 0, 4, 0, 0, 128, 0, 24, 0, 0, -32, 0, -104, 0, 0, 120, 0, 136, 0, 0, -12, 0, -24, 0, 0, 8, 0, 64, 0, 0, -136, 0, -12, 0, 0, 56, 0, -24, 0, 0, -56, 0, 120, 0, 0, -56, 0, 232, 0, 0, -32, 0, -32, 0, 0, 24, 0, -32, 0, 0, -72, 0, 48, 0, 0, -168, 0, -8, 0, 0, -4, 0, -24, 0, 0, -160, 0, 8, 0, 0, -60, 0, -36, 0, 0, 64, 0, 56, 0, 0, -72, 0, -76, 0, 0, 240, 0, -40, 0, 0, 16, 0, 168, 0, 0, -88, 0, 16, 0, 0, 24, 0, 56, 0, 0, -32, 0, -80, 0, 0, -16, 0, 112, 0, 0, -176, 0, 8, 0, 0, 80, 0, 64, 0, 0, -24, 0, -88, 0, 0, 120, 0, -4, 0, 0, -80, 0, 16, 0, 0, -256, 0, 104, 0, 0, -152, 0, 112, 0, 0, 32, 0, 136, 0, 0, 64, 0, -216, 0, 0, 76, 0, -24, 0, 0, -72, 0, -40, 0, 0, 104, 0, -56, 0, 0, 88, 0, 16, 0, 0, 52, 0, -56, 0, 0, -40, 0, 288, 0, 0, 28, 0, -104, 0, 0, 24, 0, -24, 0, 0, 64, 0, -128, 0, 0, -200, 0, 16, 0, 0, 16, 0, 8, 0, 0, -16, 0, 56, 0, 0, -84, 0, 24, 0, 0, -24, 0, 64, 0, 0, 16, 0, -16, 0, 0, -48, 0, -208, 0, 0, -16, 0, -16, 0, 0, 72, 0, 120, 0, 0, 60, 0, -92, 0, 0, -128, 0, 160, 0, 0, 64, 0, -360, 0, 0, -32, 0, 8, 0, 0, 116, 0, 136, 0, 0, 112, 0, 192, 0, 0, -12, 0, 32, 0, 0, 72, 0, 32, 0, 0, -256, 0, -104, 0, 0, -136, 0, 144, 0, 0, 8, 0, -168, 0, 0, -240, 0, 80, 0, 0, -244, 0, 32, 0, 0, -208, 0, -32, 0, 0, -64, 0, 20, 0, 0, 424, 0, 32, 0, 0, -12, 0, 168, 0, 0, -40, 0, 120, 0, 0, 140, 0, 0, 0, 0, -40, 0, 168, 0, 0, 160, 0, -140, 0, 0, -56, 0, 40, 0, 0, 28, 0, 184, 0, 0, 168, 0, 360, 0, 0, 228, 0, 88, 0, 0, 8, 0, -56, 0, 0, 0, 0, 44, 0, 0, -608, 0, 184, 0, 0, -56, 0, -128, 0, 0, -280, 0, -80, 0, 0, -236, 0, 16, 0, 0, 296, 0, -184, 0, 0, 240, 0, 68, 0, 0, -120, 0, 40, 0, 0, -96, 0, -88, 0, 0, 144, 0, -200, 0, 0, 24, 0, -28, 0, 0, 16, 0, -376, 0, 0, 240, 0, -128, 0, 0, 48, 0, 40, 0, 0, 92, 0, -24, 0, 0, 184, 0, 216, 0, 0, 196, 0, 32, 0, 0, -72, 0, 16, 0, 0, 360, 0, 16, 0, 0, 128, 0, -168, 0, 0, 24, 0, -56, 0, 0, -176, 0, -8, 0, 0, -140, 0, 16, 0, 0, -96, 0, 208, 0, 0, 72, 0, -80, 0, 0, 448, 0, 8, 0, 0, -28, 0, -40, 0, 0, -224, 0, -120, 0, 0, -208, 0, -36, 0, 0, -96, 0, -72, 0, 0, 88, 0, 144, 0, 0, -96, 0, -48, 0, 0, 48, 0, -352, 0, 0, -288, 0, -224, 0, 0, 52, 0, 168, 0, 0, -72, 0, -568, 0, 0, 40, 0, 40, 0, 0, 384, 0, 128, 0, 0, 40, 0, -232, 0, 0, 296, 0, -88, 0, 0, -264, 0, -56, 0, 0, 72, 0, 16, 0, 0, 248, 0, -276, 0, 0, -48, 0, 104, 0, 0, 28, 0, -136, 0, 0, 432, 0, -24, 0, 0, 248, 0, 76, 0, 0, 184, 0, 24, 0, 0, 152, 0, -220, 0, 0, 256, 0, 8, 0, 0, -132, 0, -336, 0, 0, 160, 0, 64, 0, 0, 128, 0, -112, 0, 0, 24, 0, 456, 0, 0, -40, 0, 292, 0, 0, -248, 0, -360, 0, 0, -256, 0, -8, 0, 0, 48, 0, -104, 0, 0, 88, 0, 0, 0, 0, -200, 0, -232, 0, 0, -248, 0, 80, 0, 0, -168, 0, -72, 0, 0, 24, 0, 152, 0, 0, 312, 0, -192, 0, 0, 100, 0, -28, 0, 0, 48, 0, 368, 0, 0, 208, 0, 160, 0, 0, -112, 0, 40, 0, 0, 12, 0, -88, 0, 0, -624, 0, 8, 0, 0, 232, 0, -16, 0, 0, 152, 0, 272, 0, 0, 32, 0, 384, 0, 0, -40, 0, -144, 0, 0, -176, 0, -200, 0, 0, -320, 0, -80, 0, 0, 0, 0, -28, 0, 0, -120, 0, 160, 0, 0, 216, 0, -28, 0, 0, 216, 0, -192, 0, 0, 48, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 519894
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '165.2.a.a', 'target_level': 165, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 519895
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '495.2.a.d', 'target_level': 495, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519896
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '825.2.a.g', 'target_level': 825, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 519897
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '825.2.c.e', 'target_level': 825, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 519898
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '825.2.c.e', 'target_level': 825, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 519899
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1815.2.a.k', 'target_level': 1815, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519900
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2475.2.a.m', 'target_level': 2475, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519901
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2475.2.c.m', 'target_level': 2475, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 519902
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2475.2.c.m', 'target_level': 2475, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 519903
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '2640.2.a.bb', 'target_level': 2640, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519904
{'conductor': 165, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '5445.2.a.m', 'target_level': 5445, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '165.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 519905
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 59, 'target_is_minimal': False, 'target_label': '7920.2.a.cg', 'target_level': 7920, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 519906
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '8085.2.a.ba', 'target_level': 8085, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '35.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 519907
{'conductor': 55, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '825.2.c.e', 'source_level': 825, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '9075.2.a.v', 'target_level': 9075, 'twist_class_label': '165.2.a.a', 'twist_class_level': 165, 'twisting_char_label': '55.e', 'twisting_char_orbit': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1375500
{'charpoly_factorization': [[[1, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 18014535981990713, 'p': 2}
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id: 1375501
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 3}
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id: 1375502
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014535981990713, 'p': 5}
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id: 1375503
{'charpoly_factorization': [[[16, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 18014535981990713, 'p': 7}
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id: 1375504
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 18014535981990713, 'p': 11}
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id: 1375505
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 13}
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id: 1375506
{'charpoly_factorization': [[[64, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 18014535981990713, 'p': 17}
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id: 1375507
{'charpoly_factorization': [[[8, -8, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 19}
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id: 1375508
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 23}
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id: 1375509
{'charpoly_factorization': [[[-4, -4, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 29}
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id: 1375510
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014535981990713, 'p': 31}
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id: 1375511
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 18014535981990713, 'p': 37}
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id: 1375512
{'charpoly_factorization': [[[-4, -4, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 41}
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id: 1375513
{'charpoly_factorization': [[[784, 0, 88, 0, 1], 1]], 'hecke_orbit_code': 18014535981990713, 'p': 43}
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id: 1375514
{'charpoly_factorization': [[[16, 0, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 47}
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id: 1375515
{'charpoly_factorization': [[[15376, 0, 264, 0, 1], 1]], 'hecke_orbit_code': 18014535981990713, 'p': 53}
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id: 1375516
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 18014535981990713, 'p': 59}
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id: 1375517
{'charpoly_factorization': [[[4, 12, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 61}
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id: 1375518
{'charpoly_factorization': [[[32, 0, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 67}
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id: 1375519
{'charpoly_factorization': [[[32, -16, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 71}
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id: 1375520
{'charpoly_factorization': [[[128, 0, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 73}
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id: 1375521
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 79}
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id: 1375522
{'charpoly_factorization': [[[100, 0, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 83}
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id: 1375523
{'charpoly_factorization': [[[-28, -4, 1], 2]], 'hecke_orbit_code': 18014535981990713, 'p': 89}
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id: 1375524
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 18014535981990713, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 5, 'label': '825.2.c.e', 'level': 825, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 40568413
{'hecke_orbit_code': 18014535981990713, 'n': 1, 'trace_an': 4}
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id: 40568414
{'hecke_orbit_code': 18014535981990713, 'n': 2, 'trace_an': 0}
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id: 40568415
{'hecke_orbit_code': 18014535981990713, 'n': 3, 'trace_an': 0}
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id: 40568416
{'hecke_orbit_code': 18014535981990713, 'n': 4, 'trace_an': -4}
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id: 40568417
{'hecke_orbit_code': 18014535981990713, 'n': 5, 'trace_an': 0}
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id: 40568418
{'hecke_orbit_code': 18014535981990713, 'n': 6, 'trace_an': 4}
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id: 40568419
{'hecke_orbit_code': 18014535981990713, 'n': 7, 'trace_an': 0}
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id: 40568420
{'hecke_orbit_code': 18014535981990713, 'n': 8, 'trace_an': 0}
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id: 40568421
{'hecke_orbit_code': 18014535981990713, 'n': 9, 'trace_an': -4}
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id: 40568422
{'hecke_orbit_code': 18014535981990713, 'n': 10, 'trace_an': 0}
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id: 40568423
{'hecke_orbit_code': 18014535981990713, 'n': 11, 'trace_an': -4}
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id: 40568424
{'hecke_orbit_code': 18014535981990713, 'n': 12, 'trace_an': 0}
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id: 40568425
{'hecke_orbit_code': 18014535981990713, 'n': 13, 'trace_an': 0}
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id: 40568426
{'hecke_orbit_code': 18014535981990713, 'n': 14, 'trace_an': 8}
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id: 40568427
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