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mf_newforms • Show schema
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{'Nk2': 2304, 'analytic_conductor': 4.59938315642575, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [576, 3, [127, 325, 65], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 193, 'conrey_indexes': [193, 385], 'dim': 4, 'field_disc': 1089, 'field_disc_factorization': [[3, 2], [11, 2]], 'field_poly': [9, -3, -2, -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': [[5, [64, -8, 9, 1, 1]], [7, [36, 18, 15, -3, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49540145690444352, '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': '576.2.i.l', 'level': 576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '72.2.i.b', 'nf_label': '4.0.1089.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{3}+(-\\beta _{1}+\\beta _{2}+2\\beta _{3})q^{5}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '576.2.i', 'trace_display': [0, 1, -1, 3], 'trace_hash': 1688860044785563959, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.922', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.869', 'prec': 17}, {'__RealLiteral__': 0, 'data': '58.293', 'prec': 20}, {'__RealLiteral__': 0, 'data': '39.394', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, -1, 1, 2], [0, 0, 0, 0], [-1, 2, 2, -1], [0, 0, 0, 0], [0, 0, 3, 1], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [2, 1, -3, -2], [0, 0, 0, 0], [6, -1, -3, 0], [0, 0, 0, 0], [-2, -1, -1, -1], [0, 0, 0, 0], [4, -1, -1, -1], [0, 0, 0, 0], [-3, 2, 6, -1], [0, 0, 0, 0], [2, 1, -3, -2], [0, 0, 0, 0], [-1, 2, -3, -1], [0, 0, 0, 0], [3, 2, 0, -2], [0, 0, 0, 0], [1, -2, -2, 1], [0, 0, 0, 0], [4, -1, -3, 2], [0, 0, 0, 0], [0, -1, 0, 1], [0, 0, 0, 0], [7, 1, 1, 1], [0, 0, 0, 0], [-2, -2, -2, -2], [0, 0, 0, 0], [-6, 1, 3, 2], [0, 0, 0, 0], [7, -2, -5, 4], [0, 0, 0, 0], [-2, 4, -3, -2], [0, 0, 0, 0], [0, 3, -3, 2], [0, 0, 0, 0], [-1, 2, 2, -1], [0, 0, 0, 0], [-5, 3, 2, -6], [0, 0, 0, 0], [-3, -2, -3, -1], [0, 0, 0, 0], [6, -2, -2, -2], [0, 0, 0, 0], [1, -1, -1, -1], [0, 0, 0, 0], [-3, 4, -3, -1], [0, 0, 0, 0], [-7, 0, 7, 0], [0, 0, 0, 0], [-1, 2, 0, -1], [0, 0, 0, 0], [-3, 4, 6, -5], [0, 0, 0, 0], [3, -6, 8, 3], [0, 0, 0, 0], [-1, -2, 3, 4], [0, 0, 0, 0], [-6, 1, 3, 2], [0, 0, 0, 0], [4, 0, 0, 0], [0, 0, 0, 0], [-2, -3, -3, -3], [0, 0, 0, 0], [-3, -3, 6, 4], [0, 0, 0, 0], [2, -1, -1, 2], [0, 0, 0, 0], [1, -2, -4, 1], [0, 0, 0, 0], [-6, 5, 6, 0], [0, 0, 0, 0], [-1, 2, -12, -1], [0, 0, 0, 0], [-8, 2, 6, -4], [0, 0, 0, 0], [3, -2, -6, 1], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, 0], [-5, 1, 1, 1], [0, 0, 0, 0], [6, -1, -3, 4], [0, 0, 0, 0], [-8, -4, 12, 8], [0, 0, 0, 0], [2, -4, 3, 2], [0, 0, 0, 0], [3, -1, -3, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 1, 0, 0], [0, -1, 1, 2], [-1, 2, 2, -1], [0, 0, -1, 0], [2, 1, -3, -2], [-2, -1, -1, -1], [4, -1, -1, -1], [2, 1, -3, -2], [1, -2, -2, 1], [4, -1, -3, 2], [-2, -2, -2, -2], [7, -2, -5, 4], [-2, 4, -3, -2], [-1, 2, 2, -1], [6, -2, -2, -2], [-7, 0, 7, 0], [-1, 2, 0, -1], [-1, -2, 3, 4], [4, 0, 0, 0], [-2, -3, -3, -3], [1, -2, -4, 1], [-1, 2, -12, -1], [6, 0, 0, 0], [2, -4, 3, 2], [3, -6, 0, 3], [-10, 1, 9, -2], [4, -5, -5, -5], [-2, 2, 2, 2], [2, -1, -1, 2], [0, -2, -2, -2], [-16, 1, 15, -2], [2, -4, -13, 2], [-1, 2, -1, -4], [-6, 1, 5, -2], [-1, 2, -2, -1], [4, 3, -7, -6], [-12, 0, 0, 0], [-12, 3, 9, -6], [1, -2, -14, 1], [-4, 8, 8, 8], [14, -4, -4, -4], [-5, 10, -2, -5], [3, 2, -5, -4], [-22, 2, 2, 2], [-4, 6, 6, 6], [12, 1, -13, -2], [7, -14, 2, 7], [0, 0, 15, 0], [6, -7, 1, 14], [2, 1, 1, 1], [-2, 5, -3, -10], [2, -4, -1, 2], [20, -3, -3, -3], [5, 4, -9, -8], [3, -6, -14, 3], [6, 2, 2, 2], [8, 4, 4, 4], [-3, 6, 22, -3], [-5, 10, 2, -5], [-12, 5, 7, -10], [22, 1, -23, -2], [28, 1, 1, 1], [-18, -3, 21, 6], [6, -12, 3, 6], [-7, 14, 14, -7], [-5, 10, 20, -5], [1, -8, 7, 16], [-5, 10, -5, -20], [3, -6, 24, 3], [-8, 16, 5, -8], [0, -6, -6, -6], [1, -2, 20, 1], [14, -3, -11, 6], [-16, 3, 3, 3], [0, -9, 9, 18], [-7, 14, -6, -7], [-2, 6, 6, 6], [3, -6, 3, 12], [-1, 2, -1, -4], [-4, -7, 11, 14], [3, -6, -28, 3], [8, -2, -2, -2], [22, 3, 3, 3], [-3, 6, 0, -3], [10, -20, -7, 10], [-26, 3, 3, 3], [-2, 4, -1, -2], [-3, 6, -14, -3], [20, -9, -11, 18], [4, 1, 1, 1], [7, -14, 6, 7], [0, -2, -2, -2], [-5, -2, 7, 4], [1, -8, 7, 16], [-20, 4, 4, 4], [-24, 3, 21, -6], [2, 3, 3, 3], [0, -4, -4, -4], [18, -6, -6, -6], [2, -4, 21, 2], [14, 0, 0, 0], [-5, 2, 3, -4], [6, -12, -13, 6], [17, -4, -13, 8], [-2, 5, 5, 5], [6, -12, 5, 6], [-26, 0, 0, 0], [28, -5, -23, 10], [8, -16, 13, 8], [-4, 3, 1, -6], [6, 2, 2, 2], [-19, 8, 11, -16], [6, -12, -7, 6], [32, 0, 0, 0], [6, -12, 11, 6], [-3, 0, 3, 0], [0, -10, -10, -10], [-30, -3, 33, 6], [3, -6, -12, 3], [-20, 11, 9, -22], [-1, 2, -2, -1], [7, -14, -4, 7], [-12, -1, -1, -1], [3, -6, -8, 3], [22, 4, 4, 4], [7, -14, -12, 7], [-32, -4, -4, -4], [3, -6, 18, 3], [-26, 5, 21, -10], [32, 3, 3, 3], [38, 1, -39, -2], [-40, -1, 41, 2], [-22, 4, 4, 4], [-2, -9, 11, 18], [-26, 3, 23, -6], [-2, -8, -8, -8], [-12, 13, -1, -26], [20, 7, -27, -14], [30, -5, -5, -5], [-20, 9, 9, 9], [1, -2, 22, 1], [32, 3, -35, -6], [4, 8, 8, 8], [-2, -4, -4, -4], [-11, 22, 4, -11], [-3, 6, 26, -3], [3, -6, -30, 3], [-7, -4, 11, 8], [-8, 8, 8, 8], [16, -5, -11, 10], [-2, 8, 8, 8], [-12, 13, 13, 13], [0, -5, 5, 10], [0, 0, -37, 0], [-3, 6, -8, -3], [-16, -6, -6, -6], [15, -30, -2, 15], [30, 0, 0, 0], [-4, -13, 17, 26], [-2, 4, 49, -2], [-18, 3, 3, 3], [-6, 1, 5, -2], [8, -4, -4, -4], [-5, -2, 7, 4], [-3, 6, 48, -3], [-24, -8, -8, -8], [-9, 18, 28, -9]], 'char_orbit_index': 9, 'field_poly': [9, -3, -2, -1, 1], 'hecke_orbit_code': 49540145690444352, 'hecke_ring_character_values': [[127, [1, 0, 0, 0]], [325, [1, 0, 0, 0]], [65, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 6, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 3, 1], [3, 2, 0, -2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-3, -2, 2, 1], [3, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '576.2.i.l', 'level': 576, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2304, 'analytic_conductor': 4.59938315642575, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [576, 3, [127, 325, 65], [3, 3, 1]], 'conrey_index': 193, 'cusp_dim': 168, 'dim': 44, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 549789368896, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 8], 'label': '576.2.i', 'level': 576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 216, 'mf_new_dim': 52, 'num_forms': 14, 'prim_orbit_index': 3, 'relative_dim': 22, 'sturm_bound': 192, 'trace_bound': 7, 'trace_display': [0, 0, 2, 0], 'traces': [44, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 2, 0, 0, 0, -8, 0, 0, 0, -2, 0, 0, 0, -16, 0, 0, 0, 2, 0, 0, 0, 18, 0, 0, 0, 8, 0, 0, 0, 6, 0, 0, 0, 18, 0, 0, 0, -12, 0, 0, 0, 56, 0, 0, 0, -24, 0, 0, 0, 2, 0, 0, 0, 18, 0, 0, 0, 22, 0, 0, 0, -8, 0, 0, 0, -26, 0, 0, 0, -28, 0, 0, 0, 12, 0, 0, 0, -40, 0, 0, 0, -74, 0, 0, 0, -2, 0, 0, 0, 26, 0, 0, 0, -8, 0, 0, 0, -40, 0, 0, 0, -18, 0, 0, 0, 34, 0, 0, 0, -4, 0, 0, 0, -108, 0, 0, 0, 42, 0, 0, 0, 40, 0, 0, 0, -10, 0, 0, 0, -122, 0, 0, 0, 12, 0, 0, 0, -46, 0, 0, 0, -64, 0, 0, 0, 26, 0, 0, 0, 84, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -46, 0, 0, 0, 10, 0, 0, 0, 8, 0, 0, 0, -12, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, -72, 0, 0, 0, 26, 0, 0, 0, -18, 0, 0, 0, -8, 0, 0, 0, -24, 0, 0, 0, 20, 0, 0, 0, 124, 0, 0, 0, -8, 0, 0, 0, 26, 0, 0, 0, -72, 0, 0, 0, 150, 0, 0, 0, -2, 0, 0, 0, -76, 0, 0, 0, -38, 0, 0, 0, -36, 0, 0, 0, 6, 0, 0, 0, -62, 0, 0, 0, -12, 0, 0, 0, 216, 0, 0, 0, 56, 0, 0, 0, 26, 0, 0, 0, 30, 0, 0, 0, 232, 0, 0, 0, -76, 0, 0, 0, 58, 0, 0, 0, 66, 0, 0, 0, -26, 0, 0, 0, 108, 0, 0, 0, 70, 0, 0, 0, 22, 0, 0, 0, 170, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 10, 0, 0, 0, 80, 0, 0, 0, 22, 0, 0, 0, 108, 0, 0, 0, 122, 0, 0, 0, 2, 0, 0, 0, -74, 0, 0, 0, 156, 0, 0, 0, -36, 0, 0, 0, -148, 0, 0, 0, 62, 0, 0, 0, 2, 0, 0, 0, 140, 0, 0, 0, -216, 0, 0, 0, -18, 0, 0, 0, 66, 0, 0, 0, 2, 0, 0, 0, 104, 0, 0, 0, 30, 0, 0, 0, -54, 0, 0, 0, 22, 0, 0, 0, -388, 0, 0, 0, -134, 0, 0, 0, -70, 0, 0, 0, 32, 0, 0, 0, -336, 0, 0, 0, -8, 0, 0, 0, -32, 0, 0, 0, 188, 0, 0, 0, -60, 0, 0, 0, -264, 0, 0, 0, -154, 0, 0, 0, 22, 0, 0, 0, -198, 0, 0, 0, 90, 0, 0, 0, -68, 0, 0, 0, 98, 0, 0, 0, -8, 0, 0, 0, -28, 0, 0, 0, -124, 0, 0, 0, -136, 0, 0, 0, 36, 0, 0, 0, -80, 0, 0, 0, -170, 0, 0, 0, 12, 0, 0, 0, 202, 0, 0, 0, -120, 0, 0, 0, -114, 0, 0, 0, 40, 0, 0, 0, 344, 0, 0, 0, 20, 0, 0, 0, -146, 0, 0, 0, 24, 0, 0, 0, 104, 0, 0, 0, -124, 0, 0, 0, -94, 0, 0, 0, 26, 0, 0, 0, 472, 0, 0, 0, -164, 0, 0, 0, -138, 0, 0, 0, -10, 0, 0, 0, 414, 0, 0, 0, -56, 0, 0, 0, 6, 0, 0, 0, 66, 0, 0, 0, -8, 0, 0, 0, -72, 0, 0, 0, 240, 0, 0, 0, -2, 0, 0, 0, 308, 0, 0, 0, 106, 0, 0, 0, 8, 0, 0, 0, 46, 0, 0, 0, 94, 0, 0, 0, 14, 0, 0, 0, 256, 0, 0, 0, -206, 0, 0, 0, -12, 0, 0, 0, 46, 0, 0, 0, 224, 0, 0, 0, -12, 0, 0, 0, -230, 0, 0, 0, -128, 0, 0, 0, -46, 0, 0, 0, -304, 0, 0, 0, -346, 0, 0, 0, -2, 0, 0, 0, 18, 0, 0, 0, -54, 0, 0, 0, 132, 0, 0, 0, -76, 0, 0, 0, -122, 0, 0, 0, -36, 0, 0, 0, -536, 0, 0, 0, 184, 0, 0, 0, -46, 0, 0, 0, 74, 0, 0, 0, -538, 0, 0, 0, -76, 0, 0, 0, -152, 0, 0, 0, -100, 0, 0, 0, 26, 0, 0, 0, 372, 0, 0, 0, -168, 0, 0, 0, 66, 0, 0, 0, -280, 0, 0, 0, -56, 0, 0, 0, 152, 0, 0, 0, -114, 0, 0, 0, -116, 0, 0, 0, 46, 0, 0, 0, -152, 0, 0, 0, 44, 0, 0, 0, 24, 0, 0, 0, 114, 0, 0, 0, -242, 0, 0, 0, 44, 0, 0, 0, 322, 0, 0, 0, 88, 0, 0, 0, 30, 0, 0, 0, 40, 0, 0, 0, 464, 0, 0, 0, -16, 0, 0, 0, -78, 0, 0, 0, 48, 0, 0, 0, -40, 0, 0, 0, 200, 0, 0, 0, -26, 0, 0, 0, 80, 0, 0, 0, 544, 0, 0, 0, 146, 0, 0, 0, 74, 0, 0, 0, 110, 0, 0, 0, 584, 0, 0, 0, 108, 0, 0, 0, 94, 0, 0, 0, 126, 0, 0, 0, 74, 0, 0, 0, 88, 0, 0, 0, 246, 0, 0, 0, -16, 0, 0, 0, 320, 0, 0, 0, 74, 0, 0, 0, 240, 0, 0, 0, 4, 0, 0, 0, 162, 0, 0, 0, 18, 0, 0, 0, 220, 0, 0, 0, 240, 0, 0, 0, -40, 0, 0, 0, -146, 0, 0, 0, 246, 0, 0, 0, -8, 0, 0, 0, -342, 0, 0, 0, -8, 0, 0, 0, 124, 0, 0, 0, 200, 0, 0, 0, -602, 0, 0, 0, 36, 0, 0, 0, 126, 0, 0, 0, -160, 0, 0, 0, -356, 0, 0, 0, -18, 0, 0, 0, 120, 0, 0, 0, -60, 0, 0, 0, -772, 0, 0, 0, -166, 0, 0, 0, 242, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 392111
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '72.2.i.b', 'target_level': 72, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 392112
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '72.2.i.b', 'target_level': 72, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 392113
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.2.i.d', 'target_level': 144, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392114
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.2.i.d', 'target_level': 144, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 392115
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '216.2.i.b', 'target_level': 216, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 392116
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '216.2.i.b', 'target_level': 216, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 392117
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '432.2.i.d', 'target_level': 432, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 392118
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '432.2.i.d', 'target_level': 432, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 392119
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '576.2.i.j', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392120
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '576.2.i.j', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 392121
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '576.2.i.l', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 392122
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '576.2.i.l', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 392123
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '648.2.a.f', 'target_level': 648, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 392124
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '648.2.a.g', 'target_level': 648, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 392125
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1296.2.a.n', 'target_level': 1296, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 392126
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1296.2.a.p', 'target_level': 1296, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 392127
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.2.i.i', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392128
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.2.i.i', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 392129
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1728.2.i.j', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 392130
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1728.2.i.j', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 392131
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '5184.2.a.bo', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 392132
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '5184.2.a.bp', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 392133
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '5184.2.a.bs', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 392134
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '576.2.i.l', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '5184.2.a.bt', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1068525
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49540145690444352, 'p': 2}
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id: 1068526
{'charpoly_factorization': [[[9, -3, -2, -1, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 3}
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id: 1068527
{'charpoly_factorization': [[[64, -8, 9, 1, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 5}
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id: 1068528
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 7}
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id: 1068529
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 49540145690444352, 'p': 11}
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id: 1068530
{'charpoly_factorization': [[[4, 10, 27, -5, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 13}
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id: 1068531
{'charpoly_factorization': [[[-2, 5, 1], 2]], 'hecke_orbit_code': 49540145690444352, 'p': 17}
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id: 1068532
{'charpoly_factorization': [[[4, -7, 1], 2]], 'hecke_orbit_code': 49540145690444352, 'p': 19}
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id: 1068533
{'charpoly_factorization': [[[4, 10, 27, -5, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 23}
-
id: 1068534
{'charpoly_factorization': [[[36, -18, 15, 3, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 29}
-
id: 1068535
{'charpoly_factorization': [[[16, -28, 45, -7, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 31}
-
id: 1068536
{'charpoly_factorization': [[[-24, 6, 1], 2]], 'hecke_orbit_code': 49540145690444352, 'p': 37}
-
id: 1068537
{'charpoly_factorization': [[[9, -36, 141, -12, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 41}
-
id: 1068538
{'charpoly_factorization': [[[289, -136, 81, 8, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 43}
-
id: 1068539
{'charpoly_factorization': [[[36, 18, 15, -3, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 47}
-
id: 1068540
{'charpoly_factorization': [[[-8, -10, 1], 2]], 'hecke_orbit_code': 49540145690444352, 'p': 53}
-
id: 1068541
{'charpoly_factorization': [[[49, 7, 1], 2]], 'hecke_orbit_code': 49540145690444352, 'p': 59}
-
id: 1068542
{'charpoly_factorization': [[[64, -8, 9, 1, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 61}
-
id: 1068543
{'charpoly_factorization': [[[841, -116, 45, 4, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 67}
-
id: 1068544
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 49540145690444352, 'p': 71}
-
id: 1068545
{'charpoly_factorization': [[[-62, 7, 1], 2]], 'hecke_orbit_code': 49540145690444352, 'p': 73}
-
id: 1068546
{'charpoly_factorization': [[[16, 28, 45, 7, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 79}
-
id: 1068547
{'charpoly_factorization': [[[21904, 3700, 477, 25, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 83}
-
id: 1068548
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 49540145690444352, 'p': 89}
-
id: 1068549
{'charpoly_factorization': [[[289, 136, 81, -8, 1], 1]], 'hecke_orbit_code': 49540145690444352, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 12, 'label': '576.2.i.l', 'level': 576, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 220692000
{'hecke_orbit_code': 49540145690444352, 'n': 1, 'trace_an': 4}
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id: 220692001
{'hecke_orbit_code': 49540145690444352, 'n': 2, 'trace_an': 0}
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id: 220692002
{'hecke_orbit_code': 49540145690444352, 'n': 3, 'trace_an': 1}
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id: 220692003
{'hecke_orbit_code': 49540145690444352, 'n': 4, 'trace_an': 0}
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id: 220692004
{'hecke_orbit_code': 49540145690444352, 'n': 5, 'trace_an': -1}
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id: 220692005
{'hecke_orbit_code': 49540145690444352, 'n': 6, 'trace_an': 0}
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id: 220692006
{'hecke_orbit_code': 49540145690444352, 'n': 7, 'trace_an': 3}
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id: 220692007
{'hecke_orbit_code': 49540145690444352, 'n': 8, 'trace_an': 0}
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id: 220692008
{'hecke_orbit_code': 49540145690444352, 'n': 9, 'trace_an': 5}
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id: 220692009
{'hecke_orbit_code': 49540145690444352, 'n': 10, 'trace_an': 0}
-
id: 220692010
{'hecke_orbit_code': 49540145690444352, 'n': 11, 'trace_an': -2}
-
id: 220692011
{'hecke_orbit_code': 49540145690444352, 'n': 12, 'trace_an': 0}
-
id: 220692012
{'hecke_orbit_code': 49540145690444352, 'n': 13, 'trace_an': 5}
-
id: 220692013
{'hecke_orbit_code': 49540145690444352, 'n': 14, 'trace_an': 0}
-
id: 220692014
{'hecke_orbit_code': 49540145690444352, 'n': 15, 'trace_an': 17}
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id: 220692015
{'hecke_orbit_code': 49540145690444352, 'n': 16, 'trace_an': 0}
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id: 220692016
{'hecke_orbit_code': 49540145690444352, 'n': 17, 'trace_an': -10}
-
id: 220692017
{'hecke_orbit_code': 49540145690444352, 'n': 18, 'trace_an': 0}
-
id: 220692018
{'hecke_orbit_code': 49540145690444352, 'n': 19, 'trace_an': 14}
-
id: 220692019
{'hecke_orbit_code': 49540145690444352, 'n': 20, 'trace_an': 0}
-
id: 220692020
{'hecke_orbit_code': 49540145690444352, 'n': 21, 'trace_an': 3}
-
id: 220692021
{'hecke_orbit_code': 49540145690444352, 'n': 22, 'trace_an': 0}
-
id: 220692022
{'hecke_orbit_code': 49540145690444352, 'n': 23, 'trace_an': 5}
-
id: 220692023
{'hecke_orbit_code': 49540145690444352, 'n': 24, 'trace_an': 0}
-
id: 220692024
{'hecke_orbit_code': 49540145690444352, 'n': 25, 'trace_an': -7}
-
id: 220692025
{'hecke_orbit_code': 49540145690444352, 'n': 26, 'trace_an': 0}
-
id: 220692026
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