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mf_newforms • Show schema
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{'Nk2': 1620, 'analytic_conductor': 3.2339412818618554, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'cm_discs': [], 'conrey_indexes': [136, 271], 'dim': 4, 'field_disc': 1521, 'field_disc_factorization': [[3, 2], [13, 2]], 'field_poly': [9, 3, 4, -1, 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, [9, 3, 4, -1, 1]], [7, [144, -24, 16, 2, 1]], [11, [144, -24, 16, 2, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45036271185166741, 'hecke_ring_generator_nbound': 5, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '405.2.e.k', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '135.2.a.c', 'nf_label': '4.0.1521.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(-1+\\beta _{1}+\\beta _{2}+\\beta _{3})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '405.2.e', 'trace_display': [1, 0, -2, -2], 'trace_hash': 2093939519506776399, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.467', 'prec': 17}, {'__RealLiteral__': 0, 'data': '59.996', 'prec': 20}, {'__RealLiteral__': 0, 'data': '17.348', 'prec': 20}, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [-1, 1, 1, 1], [0, 0, 1, 0], [0, 0, 0, 0], [-2, 2, -2, 0], [-3, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 1], [0, -2, 0, 0], [0, 0, 0, 0], [-2, 2, 2, 2], [0, 0, 6, 0], [0, 0, 0, 0], [2, -1, 2, 0], [-1, 0, 0, -2], [0, 0, 0, 0], [1, 0, 0, -2], [-1, -1, -1, 0], [0, 0, 0, 0], [2, -2, -6, -2], [0, 0, -3, 0], [0, 0, 0, 0], [-1, 0, -1, 0], [-10, 0, 0, 4], [0, 0, 0, 0], [-6, 0, 0, 2], [-6, 2, -6, 0], [0, 0, 0, 0], [2, -2, -1, -2], [-1, 1, 3, 1], [0, 0, 0, 0], [6, -1, 6, 0], [0, 0, 0, 2], [0, 0, 0, 0], [2, 0, 0, 0], [6, 1, 6, 0], [0, 0, 0, 0], [0, 0, -3, 0], [2, -2, 0, -2], [0, 0, 0, 0], [4, -2, 4, 0], [10, 0, 0, -4], [0, 0, 0, 0], [3, 0, 0, -3], [0, 4, 0, 0], [0, 0, 0, 0], [4, -4, 9, -4], [1, -1, 0, -1], [0, 0, 0, 0], [-8, -6, -8, 0], [-1, 0, 0, -2], [0, 0, 0, 0], [2, 0, 0, -2], [6, -6, 6, 0], [0, 0, 0, 0], [4, -4, 6, -4], [-2, 2, -6, 2], [0, 0, 0, 0], [-5, 4, -5, 0], [9, 0, 0, -3], [0, 0, 0, 0], [-5, 0, 0, 6], [-2, -2, -2, 0], [0, 0, 0, 0], [-4, 4, -10, 4], [-1, 1, 3, 1], [0, 0, 0, 0], [-6, 0, -6, 0], [10, 0, 0, 2], [0, 0, 0, 0], [10, 0, 0, -2], [0, 2, 0, 0], [0, 0, 0, 0], [-3, 3, 5, 3], [0, 0, -12, 0], [0, 0, 0, 0], [7, 2, 7, 0], [-1, 0, 0, -1], [0, 0, 0, 0], [8, 0, 0, -2], [-3, 0, -3, 0], [0, 0, 0, 0], [-2, 2, -3, 2], [-2, 2, -6, 2], [0, 0, 0, 0], [0, 6, 0, 0], [-6, 0, 0, 6], [0, 0, 0, 0], [-12, 0, 0, 4], [3, 3, 3, 0], [0, 0, 0, 0], [-4, 4, 12, 4], [-2, 2, -1, 2], [0, 0, 0, 0], [-8, 0, -8, 0], [7, 0, 0, 5], [0, 0, 0, 0], [2, 0, 0, -1]], 'ap': [[0, 1, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [-2, 2, -2, 0], [0, -2, 0, 0], [-2, 2, 2, 2], [-1, 0, 0, -2], [1, 0, 0, -2], [0, 0, -3, 0], [-6, 2, -6, 0], [2, -2, -1, -2], [2, 0, 0, 0], [2, -2, 0, -2], [4, -2, 4, 0], [0, 4, 0, 0], [-1, 0, 0, -2], [-2, 2, -6, 2], [-5, 4, -5, 0], [-4, 4, -10, 4], [10, 0, 0, 2], [10, 0, 0, -2], [7, 2, 7, 0], [-3, 0, -3, 0], [-6, 0, 0, 6], [-8, 0, -8, 0], [-12, 0, -12, 0], [0, 0, -4, 0], [0, 0, 0, 0], [-7, 0, 0, 0], [4, -4, -6, -4], [-14, 0, 0, 4], [0, 0, 6, 0], [-3, -6, -3, 0], [0, 0, -4, 0], [-10, 10, 0, 10], [4, -8, 4, 0], [6, -6, -4, -6], [2, 0, 0, 0], [0, 0, -3, 0], [-3, 6, -3, 0], [-16, 0, 0, 4], [-7, 0, 0, 0], [-6, 8, -6, 0], [6, -6, 14, -6], [-15, 0, 0, 6], [4, 0, 0, 4], [6, -6, 5, -6], [10, 0, 10, 0], [21, -4, 21, 0], [-4, 4, -1, 4], [-18, 0, 0, 0], [4, -4, -6, -4], [-23, 4, -23, 0], [12, 0, 0, -12], [6, -6, 15, -6], [12, -4, 12, 0], [2, 0, 0, 4], [13, 0, 0, -14], [16, -10, 16, 0], [6, 6, 6, 0], [2, -2, 8, -2], [-6, 6, -21, 6], [-2, 0, 0, -8], [6, -6, 6, -6], [-8, 12, -8, 0], [3, 2, 3, 0], [-20, -4, -20, 0], [-2, 2, 2, 2], [-8, 8, 12, 8], [-5, 16, -5, 0], [6, -12, 6, 0], [6, 0, 0, 12], [-2, 2, -2, 0], [4, -4, -16, -4], [19, 0, 0, -2], [-12, 12, -3, 12], [-12, -6, -12, 0], [-8, 0, 0, -2], [0, 0, -30, 0], [0, 0, 5, 0], [-10, 10, 0, 10], [13, -8, 13, 0], [12, 0, 0, 6], [4, 0, 0, -14], [-23, -2, -23, 0], [-3, 12, -3, 0], [20, 0, 0, -14], [4, 4, 4, 0], [6, -12, 6, 0], [-4, 4, -10, 4], [7, 0, 0, -4], [24, 6, 24, 0], [-22, 0, 0, 6], [-4, 4, 18, 4], [-2, 2, -25, 2], [13, 0, 0, 8], [16, -16, 12, -16], [-26, 0, 0, 2], [28, 0, 0, -2], [-30, 0, 0, 8], [4, -2, 4, 0], [-6, 0, 0, -12], [0, 0, 24, 0], [-30, 6, -30, 0], [-18, 18, -13, 18], [14, 0, 0, 6], [-21, 0, -21, 0], [-11, 0, 0, 14], [2, -2, -18, -2], [-17, 12, -17, 0], [-2, 2, 20, 2], [-8, 0, 0, 16], [-18, 18, -3, 18], [-8, -12, -8, 0], [7, 0, 0, 10], [24, 0, 24, 0], [-10, 10, -10, 10], [29, 0, 0, 4], [14, -14, 9, -14], [18, -2, 18, 0], [16, -16, 2, -16], [-2, -10, -2, 0], [6, -12, 6, 0], [-9, 0, 0, 0], [-5, -2, -5, 0], [22, 0, 0, 8], [-14, 16, -14, 0], [6, 0, 0, -24], [-8, -12, -8, 0], [0, 0, 32, 0], [7, 0, 0, 10], [-8, 8, -24, 8], [10, -10, -7, -10], [22, 0, 0, 4], [-18, 18, -30, 18], [0, 0, 41, 0], [3, 0, 0, 6], [10, -10, -16, -10], [-22, 22, -9, 22], [46, 0, 0, 2], [24, 0, 0, 8], [-30, 0, -30, 0], [6, -6, -4, -6], [-43, 0, 0, 4], [-18, 0, 0, -4], [-24, -4, -24, 0], [-20, -4, -20, 0], [27, -14, 27, 0], [10, -10, -7, -10], [25, 0, 0, -4], [-22, 22, -28, 22], [-28, 0, 0, -2], [8, 0, 0, -6], [12, -12, -3, -12], [-20, 8, -20, 0], [-18, 10, -18, 0], [16, 0, 0, -8], [-24, 2, -24, 0], [36, 0, 0, -4], [8, -8, 18, -8], [-39, 0, -39, 0], [-10, 0, 0, 16], [0, 0, 50, 0], [-18, 0, 0, 0], [4, -4, -6, -4], [15, 12, 15, 0], [-37, 0, 0, -6], [-20, 26, -20, 0]], 'char_orbit_index': 5, 'field_poly': [9, 3, 4, -1, 1], 'hecke_orbit_code': 45036271185166741, 'hecke_ring_character_values': [[326, [0, 0, 1, 0]], [82, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 12, 4], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-1, 1, 3, 1], [-7, 0, 0, 4]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, -4, 4, -1], [7, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '405.2.e.k', 'level': 405, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1620, 'analytic_conductor': 3.2339412818618554, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'conrey_indexes': [136, 271], 'cusp_dim': 84, 'dim': 32, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 274911461781, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '405.2.e', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 132, 'mf_new_dim': 32, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 108, 'trace_bound': 7, 'trace_display': [0, 0, 0, 10], 'traces': [32, 0, 0, -16, 0, 0, 10, 0, 0, 0, 0, 0, 10, 0, 0, -16, 0, 0, 4, 0, 0, -12, 0, 0, -16, 0, 0, -80, 0, 0, 40, 0, 0, 18, 0, 0, -20, 0, 0, 30, 0, 0, 28, 0, 0, -36, 0, 0, -18, 0, 0, 4, 0, 0, 0, 0, 0, -36, 0, 0, -14, 0, 0, 44, 0, 0, -14, 0, 0, -12, 0, 0, 76, 0, 0, 34, 0, 0, -2, 0, 0, 96, 0, 0, -12, 0, 0, -36, 0, 0, -52, 0, 0, -48, 0, 0, -26, 0, 0, 32, 0, 0, -2, 0, 0, -30, 0, 0, -152, 0, 0, 40, 0, 0, 0, 0, 0, 144, 0, 0, -64, 0, 0, 94, 0, 0, -80, 0, 0, 0, 0, 0, 98, 0, 0, 72, 0, 0, 58, 0, 0, -12, 0, 0, 24, 0, 0, 4, 0, 0, 46, 0, 0, 48, 0, 0, 52, 0, 0, 60, 0, 0, 52, 0, 0, -18, 0, 0, -66, 0, 0, -176, 0, 0, 10, 0, 0, -144, 0, 0, 52, 0, 0, 12, 0, 0, -84, 0, 0, -60, 0, 0, -74, 0, 0, 108, 0, 0, -68, 0, 0, 132, 0, 0, -36, 0, 0, -344, 0, 0, -110, 0, 0, -48, 0, 0, 152, 0, 0, -48, 0, 0, -32, 0, 0, -192, 0, 0, 28, 0, 0, -48, 0, 0, -96, 0, 0, 120, 0, 0, -74, 0, 0, 124, 0, 0, -34, 0, 0, 0, 0, 0, 168, 0, 0, -76, 0, 0, -34, 0, 0, 264, 0, 0, 0, 0, 0, 136, 0, 0, 100, 0, 0, 54, 0, 0, 124, 0, 0, 72, 0, 0, 28, 0, 0, 192, 0, 0, 104, 0, 0, -128, 0, 0, 60, 0, 0, -288, 0, 0, 80, 0, 0, 22, 0, 0, 64, 0, 0, -6, 0, 0, 10, 0, 0, 148, 0, 0, 24, 0, 0, -48, 0, 0, -20, 0, 0, -48, 0, 0, 10, 0, 0, 156, 0, 0, -14, 0, 0, -18, 0, 0, 92, 0, 0, -66, 0, 0, -38, 0, 0, 0, 0, 0, -24, 0, 0, -144, 0, 0, -228, 0, 0, -76, 0, 0, -14, 0, 0, -24, 0, 0, 34, 0, 0, -216, 0, 0, -92, 0, 0, 12, 0, 0, -12, 0, 0, 352, 0, 0, 24, 0, 0, -42, 0, 0, -296, 0, 0, -16, 0, 0, 116, 0, 0, 144, 0, 0, -98, 0, 0, 52, 0, 0, 96, 0, 0, 180, 0, 0, -2, 0, 0, -264, 0, 0, 14, 0, 0, -36, 0, 0, -488, 0, 0, 310, 0, 0, -32, 0, 0, -480, 0, 0, 48, 0, 0, -68, 0, 0, 48, 0, 0, 54, 0, 0, 88, 0, 0, 12, 0, 0, -122, 0, 0, -72, 0, 0, -100, 0, 0, -300, 0, 0, -2, 0, 0, 360, 0, 0, 146, 0, 0, 32, 0, 0, 76, 0, 0, -84, 0, 0, 12, 0, 0, -92, 0, 0, 40, 0, 0, 336, 0, 0, 120, 0, 0, -140, 0, 0, -70, 0, 0, 132, 0, 0, 120, 0, 0, -48, 0, 0, 436, 0, 0, -192, 0, 0, 68, 0, 0, 80, 0, 0, 60, 0, 0, 120, 0, 0, -20, 0, 0, 150, 0, 0, -14, 0, 0, 24, 0, 0, 194, 0, 0, -116, 0, 0, 176, 0, 0, -108, 0, 0, 120, 0, 0, -312, 0, 0, 118, 0, 0, 72, 0, 0, 148, 0, 0, 144, 0, 0, -84, 0, 0, -300, 0, 0, -28, 0, 0, -128, 0, 0, -120, 0, 0, -408, 0, 0, 100, 0, 0, -152, 0, 0, -134, 0, 0, -54, 0, 0, 28, 0, 0, 48, 0, 0, -50, 0, 0, 240, 0, 0, -16, 0, 0, -44, 0, 0, -188, 0, 0, 18, 0, 0, -60, 0, 0, -72, 0, 0, -20, 0, 0, -114, 0, 0, 432, 0, 0, -32, 0, 0, -24, 0, 0, 48, 0, 0, -98, 0, 0, -180, 0, 0, -120, 0, 0, 48, 0, 0, -50, 0, 0, 984, 0, 0, -166, 0, 0, 84, 0, 0, 96, 0, 0, 316, 0, 0, -32, 0, 0, -192, 0, 0, -108, 0, 0, 40, 0, 0, -28, 0, 0, 72, 0, 0, 82, 0, 0, 144, 0, 0, -84, 0, 0, -36, 0, 0, -76, 0, 0, 10, 0, 0, -32, 0, 0, -360, 0, 0, -104, 0, 0, 234, 0, 0, -176, 0, 0, 96, 0, 0, -24, 0, 0, -192, 0, 0, -50, 0, 0, 312, 0, 0, 244, 0, 0, -48, 0, 0, -136, 0, 0, -420, 0, 0, -134, 0, 0, -44, 0, 0, -80, 0, 0, 264, 0, 0, -120, 0, 0, -384, 0, 0, 190, 0, 0, -54, 0, 0, -196, 0, 0, -44, 0, 0, 240, 0, 0, 192, 0, 0, -72, 0, 0, 372, 0, 0, 112, 0, 0, 264, 0, 0, -172, 0, 0, 168, 0, 0, 118, 0, 0, 240, 0, 0, -212, 0, 0, 448, 0, 0, 12, 0, 0, -360, 0, 0, -40, 0, 0, -314, 0, 0, -500, 0, 0, 18, 0, 0, -182, 0, 0, 528, 0, 0, 58, 0, 0, -120, 0, 0, 72, 0, 0, -100, 0, 0, -34, 0, 0, -84, 0, 0, -170, 0, 0, 84, 0, 0, -452, 0, 0, -354, 0, 0, -208, 0, 0, -824, 0, 0, 12, 0, 0, 60, 0, 0, -216, 0, 0, -108, 0, 0, 82, 0, 0, 168, 0, 0, -36, 0, 0, -38, 0, 0, 304, 0, 0, 192, 0, 0, 10, 0, 0, 1056, 0, 0, -84, 0, 0, -258, 0, 0, 268, 0, 0, 72, 0, 0, -12, 0, 0, -144, 0, 0, 38, 0, 0, -132, 0, 0, 192, 0, 0, -228, 0, 0, 228, 0, 0, 484, 0, 0, -134, 0, 0, 72, 0, 0, -52, 0, 0, 58, 0, 0, 288, 0, 0, 600, 0, 0, 12, 0, 0, -184, 0, 0, 28, 0, 0, -312, 0, 0, -140, 0, 0, -60], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 302919
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '135.2.a.c', 'target_level': 135, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 302920
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '135.2.a.d', 'target_level': 135, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 302921
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '405.2.e.j', 'target_level': 405, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 302922
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '405.2.e.j', 'target_level': 405, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 302923
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '405.2.e.k', 'target_level': 405, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 302924
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '405.2.e.k', 'target_level': 405, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 302925
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '675.2.a.k', 'target_level': 675, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 302926
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '675.2.a.p', 'target_level': 675, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 302927
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '675.2.b.h', 'target_level': 675, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 302928
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '675.2.b.i', 'target_level': 675, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 302929
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '2160.2.a.y', 'target_level': 2160, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 302930
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '2160.2.a.ba', 'target_level': 2160, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 302931
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '6615.2.a.p', 'target_level': 6615, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 302932
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '6615.2.a.v', 'target_level': 6615, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 302933
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 63, 'target_is_minimal': False, 'target_label': '8640.2.a.ck', 'target_level': 8640, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 302934
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 70, 'target_is_minimal': False, 'target_label': '8640.2.a.cr', 'target_level': 8640, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 302935
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 77, 'target_is_minimal': False, 'target_label': '8640.2.a.cy', 'target_level': 8640, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 302936
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': False, 'source_label': '405.2.e.k', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 84, 'target_is_minimal': False, 'target_label': '8640.2.a.df', 'target_level': 8640, 'twist_class_label': '135.2.a.c', 'twist_class_level': 135, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 844350
{'charpoly_factorization': [[[9, 3, 4, -1, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 2}
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id: 844351
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45036271185166741, 'p': 3}
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id: 844352
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 45036271185166741, 'p': 5}
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id: 844353
{'charpoly_factorization': [[[144, -24, 16, 2, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 7}
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id: 844354
{'charpoly_factorization': [[[144, -24, 16, 2, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 11}
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id: 844355
{'charpoly_factorization': [[[16, -24, 40, 6, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 13}
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id: 844356
{'charpoly_factorization': [[[-9, 4, 1], 2]], 'hecke_orbit_code': 45036271185166741, 'p': 17}
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id: 844357
{'charpoly_factorization': [[[-13, 0, 1], 2]], 'hecke_orbit_code': 45036271185166741, 'p': 19}
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id: 844358
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 45036271185166741, 'p': 23}
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id: 844359
{'charpoly_factorization': [[[144, 120, 88, 10, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 29}
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id: 844360
{'charpoly_factorization': [[[81, 36, 25, -4, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 31}
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id: 844361
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 45036271185166741, 'p': 37}
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id: 844362
{'charpoly_factorization': [[[144, 24, 16, -2, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 41}
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id: 844363
{'charpoly_factorization': [[[16, 24, 40, -6, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 43}
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id: 844364
{'charpoly_factorization': [[[2304, 192, 64, -4, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 47}
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id: 844365
{'charpoly_factorization': [[[-9, 4, 1], 2]], 'hecke_orbit_code': 45036271185166741, 'p': 53}
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id: 844366
{'charpoly_factorization': [[[144, -120, 88, -10, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 59}
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id: 844367
{'charpoly_factorization': [[[1849, -258, 79, 6, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 61}
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id: 844368
{'charpoly_factorization': [[[144, -192, 244, -16, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 67}
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id: 844369
{'charpoly_factorization': [[[108, -22, 1], 2]], 'hecke_orbit_code': 45036271185166741, 'p': 71}
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id: 844370
{'charpoly_factorization': [[[68, -18, 1], 2]], 'hecke_orbit_code': 45036271185166741, 'p': 73}
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id: 844371
{'charpoly_factorization': [[[2601, -816, 205, -16, 1], 1]], 'hecke_orbit_code': 45036271185166741, 'p': 79}
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id: 844372
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 45036271185166741, 'p': 83}
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id: 844373
{'charpoly_factorization': [[[-108, 6, 1], 2]], 'hecke_orbit_code': 45036271185166741, 'p': 89}
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id: 844374
{'charpoly_factorization': [[[64, 8, 1], 2]], 'hecke_orbit_code': 45036271185166741, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 11, 'label': '405.2.e.k', 'level': 405, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 214966000
{'hecke_orbit_code': 45036271185166741, 'n': 1, 'trace_an': 4}
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id: 214966001
{'hecke_orbit_code': 45036271185166741, 'n': 2, 'trace_an': 1}
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id: 214966002
{'hecke_orbit_code': 45036271185166741, 'n': 3, 'trace_an': 0}
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id: 214966003
{'hecke_orbit_code': 45036271185166741, 'n': 4, 'trace_an': -3}
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id: 214966004
{'hecke_orbit_code': 45036271185166741, 'n': 5, 'trace_an': -2}
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id: 214966005
{'hecke_orbit_code': 45036271185166741, 'n': 6, 'trace_an': 0}
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