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mf_newforms • Show schema
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{'Nk2': 3456, 'analytic_conductor': 6.899074734638625, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 72, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': 1, 'char_values': [864, 6, [703, 325, 353], [6, 3, 2]], 'cm_discs': [], 'conrey_index': 145, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [16, 0, -4, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 1168264659808, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0], [1, 1, 9, 3, 1, 3, 0], [1, 1, 72, 14, 1, 6, 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': '864.2.r.a', 'level': 864, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '72.2.n.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 14, 'qexp_display': 'q+2\\zeta_{12}q^{5}+4\\zeta_{12}^{2}q^{7}+(3\\zeta_{12}-3\\zeta_{12}^{3})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '864.2.r', 'trace_display': [0, 0, 0, 8], 'trace_hash': 1412734950284941981, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.782', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.841', 'prec': 17}, {'__RealLiteral__': 0, 'data': '84.711', 'prec': 20}, {'__RealLiteral__': 0, 'data': '33.206', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2852.053', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.513', 'prec': 17}, 'traces': [4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10, 0, 0, 0, 0, 0, 12, 0, -18, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -24, 0, 36, 0, 0, 0, 0, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -40, 0, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 4, 0, -18, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 32, 0, 30, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 88, 0, -64, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 60, 0, -34, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 3, 0, -3], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 2, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 8], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, 0, 5, 0], [0, 0, 0, 0], [0, 11, 0, -11], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 6, 0], [0, 0, 0, 0], [-9, 0, 9, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 0, 0, 0], [0, 12, 0, -12], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [0, 0, 0, 0], [0, -3, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-6, 0, 0, 0], [0, 0, 0, 0], [9, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 12, 0, 0], [0, 0, 0, 0], [0, 0, -14, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 4, 0, -4], [0, 0, 0, 0], [0, -10, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [14, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 8], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 2, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, 0], [0, 2, 0, 0], [0, 0, 4, 0], [0, 3, 0, -3], [0, 2, 0, 0], [-5, 0, 0, 0], [0, 0, 0, 1], [-2, 0, 2, 0], [0, 0, 0, 0], [-4, 0, 4, 0], [0, 0, 0, -2], [-5, 0, 5, 0], [0, 11, 0, -11], [0, 0, 6, 0], [0, 0, 0, 0], [0, -1, 0, 0], [0, 12, 0, -12], [0, -3, 0, 0], [-6, 0, 0, 0], [9, 0, 0, 0], [0, 0, -14, 0], [0, 4, 0, -4], [14, 0, 0, 0], [0, 0, -1, 0], [0, -14, 0, 14], [-6, 0, 6, 0], [0, 0, 0, -3], [0, 0, 0, 20], [6, 0, -6, 0], [2, 0, 0, 0], [0, -4, 0, 0], [0, 0, -9, 0], [0, -13, 0, 0], [0, -18, 0, 0], [0, 0, -6, 0], [0, -4, 0, 0], [0, 0, 0, -4], [2, 0, -2, 0], [0, 24, 0, -24], [0, 0, 0, -20], [0, 0, 0, -10], [0, 0, 16, 0], [15, 0, -15, 0], [0, 0, 0, 8], [8, 0, 0, 0], [0, 16, 0, 0], [0, 0, 2, 0], [0, -7, 0, 7], [0, -20, 0, 0], [-13, 0, 0, 0], [30, 0, -30, 0], [0, 0, -17, 0], [0, 0, 0, 15], [15, 0, -15, 0], [0, 0, 8, 0], [0, 0, 0, 12], [-12, 0, 0, 0], [0, 2, 0, -2], [0, 0, -6, 0], [0, -20, 0, 0], [0, -12, 0, 0], [0, 0, 0, -9], [-20, 0, 20, 0], [0, 0, 1, 0], [0, 22, 0, -22], [0, 20, 0, -20], [-7, 0, 7, 0], [0, 13, 0, 0], [0, 16, 0, -16], [0, 0, 15, 0], [-4, 0, 0, 0], [0, 0, 18, 0], [0, -26, 0, 0], [0, 0, 0, -5], [-18, 0, 18, 0], [0, 8, 0, -8], [0, 0, 0, -22], [-15, 0, 15, 0], [-31, 0, 31, 0], [0, 36, 0, 0], [0, -22, 0, 22], [-36, 0, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [0, 9, 0, -9], [-21, 0, 0, 0], [0, 0, 37, 0], [0, -6, 0, 6], [10, 0, -10, 0], [0, 0, 0, 29], [0, 0, -16, 0], [-20, 0, 0, 0], [0, -19, 0, 0], [0, 15, 0, 0], [36, 0, 0, 0], [0, 36, 0, 0], [-15, 0, 0, 0], [0, 0, 0, -36], [0, 0, 0, 22], [0, -35, 0, 35], [0, 0, 0, -24], [0, -9, 0, 0], [0, 0, 39, 0], [0, 5, 0, 0], [-33, 0, 0, 0], [0, 37, 0, -37], [30, 0, 0, 0], [-38, 0, 38, 0], [0, 0, -5, 0], [-20, 0, 20, 0], [0, 0, 0, -34], [5, 0, -5, 0], [0, 3, 0, -3], [-34, 0, 0, 0], [0, 0, -31, 0], [0, -5, 0, 0], [24, 0, 0, 0], [0, -36, 0, 0], [0, 12, 0, -12], [0, 14, 0, 0], [0, 0, -26, 0], [0, -48, 0, 48], [0, 0, 0, -35], [0, 28, 0, -28], [0, 0, 0, 10], [0, 8, 0, -8], [-34, 0, 0, 0], [0, 0, 6, 0], [0, -28, 0, 0], [0, 0, 0, 41], [44, 0, -44, 0], [2, 0, -2, 0], [0, 0, 0, 36], [14, 0, -14, 0], [-34, 0, 34, 0], [0, 0, 0, -38], [0, -12, 0, 0], [0, 22, 0, 0], [9, 0, 0, 0], [0, 0, 0, -7], [0, 28, 0, -28], [26, 0, -26, 0], [0, 0, 0, 48], [0, 0, 0, 32], [0, 0, -4, 0], [0, -42, 0, 42], [0, 0, 6, 0], [0, -35, 0, 0], [6, 0, 0, 0], [0, -8, 0, 0], [2, 0, 0, 0], [0, 0, 0, 23], [-30, 0, 30, 0], [0, 25, 0, -25], [0, 0, -12, 0], [42, 0, 0, 0], [0, 0, 14, 0], [2, 0, 0, 0], [0, -24, 0, 0], [0, 3, 0, -3], [21, 0, 0, 0], [-4, 0, 4, 0], [0, 0, 0, -12], [-31, 0, 31, 0], [0, 0, -46, 0], [-56, 0, 0, 0], [0, 12, 0, -12]], 'char_orbit_index': 18, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 1168264659808, 'hecke_ring_character_values': [[703, [1, 0, 0, 0]], [325, [-1, 0, 0, 0]], [353, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '864.2.r.a', 'level': 864, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3456, 'analytic_conductor': 6.899074734638625, 'char_conductor': 72, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 18, 'char_orbit_label': 'r', 'char_order': 6, 'char_parity': 1, 'char_values': [864, 6, [703, 325, 353], [6, 3, 2]], 'conrey_index': 145, 'cusp_dim': 240, 'dim': 20, 'eis_dim': 96, 'eis_new_dim': 8, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 1168264659808, 'hecke_orbit_dims': [4, 16], 'label': '864.2.r', 'level': 864, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 336, 'mf_new_dim': 28, 'num_forms': 2, 'prim_orbit_index': 14, 'relative_dim': 10, 'sturm_bound': 288, 'trace_bound': 1, 'trace_display': [0, 0, 0, 2], 'traces': [20, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 48, 0, -8, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 40, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -56, 0, -12, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -132, 0, -28, 0, 0, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, -58, 0, -16, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 70, 0, -2, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, 0, 0, 140, 0, 20, 0, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 90, 0, -2, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, -94, 0, 8, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, -172, 0, -28, 0, 0, 0, 0, 0, 22, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, -122, 0, 10, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, -66, 0, 0, 0, 0, 0, 102, 0, -14, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, 0, 0, 256, 0, 44, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 126, 0, -14, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, 0, 0, 0, 0, -96, 0, 10, 0, 0, 0, 0, 0, 124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -288, 0, 40, 0, 0, 0, 0, 0, 62, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, -94, 0, 34, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 170, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 312, 0, -28, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 104, 0, 32, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, -132, 0, 50, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, -272, 0, 16, 0, 0, 0, 0, 0, -116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, -170, 0, 22, 0, 0, 0, 0, 0, -82, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 152, 0, 46, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 122, 0, 0, 0, 0, 0, 288, 0, -76, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 114, 0, -2, 0, 0, 0, 0, 0, -86, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, -182, 0, -36, 0, 0, 0, 0, 0, -312, 0, 0, 0, 0, 0, 0, 0, 0, 0, -146, 0, 0, 0, 0, 0, -344, 0, 20, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, -142, 0, -46, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, 0, 0, 70, 0, 22, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, -170, 0, 0, 0, 0, 0, 348, 0, -108, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 188, 0, 24, 0, 0, 0, 0, 0, 158, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, -178, 0, -72, 0, 0, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 0, 0, -312, 0, -76, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 184, 0, 0, 0, 0, 0, -126, 0, -64, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 138, 0, -34, 0, 0, 0, 0, 0, 248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 122, 0, 0, 0, 0, 0, 120, 0, -8, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 222, 0, 24, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 0, 0, -238, 0, 0, 0, 0, 0, -178, 0, -16, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 541894
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '72.2.n.a', 'target_level': 72, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541895
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '72.2.n.a', 'target_level': 72, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541896
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '72.2.n.a', 'target_level': 72, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541897
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '72.2.n.a', 'target_level': 72, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 541898
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '216.2.n.a', 'target_level': 216, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541899
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '216.2.n.a', 'target_level': 216, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541900
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '216.2.n.a', 'target_level': 216, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541901
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 14, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '216.2.n.a', 'target_level': 216, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 541902
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.2.r.a', 'target_level': 288, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541903
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.2.r.a', 'target_level': 288, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541904
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.2.r.a', 'target_level': 288, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541905
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.2.r.a', 'target_level': 288, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 541906
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '648.2.d.a', 'target_level': 648, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 541907
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '648.2.d.a', 'target_level': 648, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 541908
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '648.2.d.d', 'target_level': 648, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 541909
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '648.2.d.d', 'target_level': 648, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 541910
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '864.2.r.a', 'target_level': 864, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 541911
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '864.2.r.a', 'target_level': 864, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 541912
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '864.2.r.a', 'target_level': 864, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 541913
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '864.2.r.a', 'target_level': 864, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 541914
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2592.2.d.a', 'target_level': 2592, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 541915
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2592.2.d.a', 'target_level': 2592, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 541916
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2592.2.d.b', 'target_level': 2592, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 541917
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 18, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': False, 'source_label': '864.2.r.a', 'source_level': 864, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2592.2.d.b', 'target_level': 2592, 'twist_class_label': '72.2.n.a', 'twist_class_level': 72, '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: 1423700
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1168264659808, 'p': 2}
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id: 1423701
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1168264659808, 'p': 3}
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id: 1423702
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 1168264659808, 'p': 5}
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id: 1423703
{'charpoly_factorization': [[[16, -4, 1], 2]], 'hecke_orbit_code': 1168264659808, 'p': 7}
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id: 1423704
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 1168264659808, 'p': 11}
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id: 1423705
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 1168264659808, 'p': 13}
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id: 1423706
{'charpoly_factorization': [[[5, 1], 4]], 'hecke_orbit_code': 1168264659808, 'p': 17}
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id: 1423707
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 1168264659808, 'p': 19}
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id: 1423708
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 1168264659808, 'p': 23}
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id: 1423709
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1168264659808, 'p': 29}
-
id: 1423710
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 1168264659808, 'p': 31}
-
id: 1423711
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 1168264659808, 'p': 37}
-
id: 1423712
{'charpoly_factorization': [[[25, 5, 1], 2]], 'hecke_orbit_code': 1168264659808, 'p': 41}
-
id: 1423713
{'charpoly_factorization': [[[14641, 0, -121, 0, 1], 1]], 'hecke_orbit_code': 1168264659808, 'p': 43}
-
id: 1423714
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 1168264659808, 'p': 47}
-
id: 1423715
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 1168264659808, 'p': 53}
-
id: 1423716
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 1168264659808, 'p': 59}
-
id: 1423717
{'charpoly_factorization': [[[20736, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 1168264659808, 'p': 61}
-
id: 1423718
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 1168264659808, 'p': 67}
-
id: 1423719
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 1168264659808, 'p': 71}
-
id: 1423720
{'charpoly_factorization': [[[-9, 1], 4]], 'hecke_orbit_code': 1168264659808, 'p': 73}
-
id: 1423721
{'charpoly_factorization': [[[196, 14, 1], 2]], 'hecke_orbit_code': 1168264659808, 'p': 79}
-
id: 1423722
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 1168264659808, 'p': 83}
-
id: 1423723
{'charpoly_factorization': [[[-14, 1], 4]], 'hecke_orbit_code': 1168264659808, 'p': 89}
-
id: 1423724
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 1168264659808, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 18, 'hecke_orbit': 1, 'label': '864.2.r.a', 'level': 864, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 12413994
{'hecke_orbit_code': 1168264659808, 'n': 1, 'trace_an': 4}
-
id: 12413995
{'hecke_orbit_code': 1168264659808, 'n': 2, 'trace_an': 0}
-
id: 12413996
{'hecke_orbit_code': 1168264659808, 'n': 3, 'trace_an': 0}
-
id: 12413997
{'hecke_orbit_code': 1168264659808, 'n': 4, 'trace_an': 0}
-
id: 12413998
{'hecke_orbit_code': 1168264659808, 'n': 5, 'trace_an': 0}
-
id: 12413999
{'hecke_orbit_code': 1168264659808, 'n': 6, 'trace_an': 0}
-
id: 12414000
{'hecke_orbit_code': 1168264659808, 'n': 7, 'trace_an': 8}
-
id: 12414001
{'hecke_orbit_code': 1168264659808, 'n': 8, 'trace_an': 0}
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id: 12414002
{'hecke_orbit_code': 1168264659808, 'n': 9, 'trace_an': 0}
-
id: 12414003
{'hecke_orbit_code': 1168264659808, 'n': 10, 'trace_an': 0}
-
id: 12414004
{'hecke_orbit_code': 1168264659808, 'n': 11, 'trace_an': 0}
-
id: 12414005
{'hecke_orbit_code': 1168264659808, 'n': 12, 'trace_an': 0}
-
id: 12414006
{'hecke_orbit_code': 1168264659808, 'n': 13, 'trace_an': 0}
-
id: 12414007
{'hecke_orbit_code': 1168264659808, 'n': 14, 'trace_an': 0}
-
id: 12414008
{'hecke_orbit_code': 1168264659808, 'n': 15, 'trace_an': 0}
-
id: 12414009
{'hecke_orbit_code': 1168264659808, 'n': 16, 'trace_an': 0}
-
id: 12414010
{'hecke_orbit_code': 1168264659808, 'n': 17, 'trace_an': -20}
-
id: 12414011
{'hecke_orbit_code': 1168264659808, 'n': 18, 'trace_an': 0}
-
id: 12414012
{'hecke_orbit_code': 1168264659808, 'n': 19, 'trace_an': 0}
-
id: 12414013
{'hecke_orbit_code': 1168264659808, 'n': 20, 'trace_an': 0}
-
id: 12414014
{'hecke_orbit_code': 1168264659808, 'n': 21, 'trace_an': 0}
-
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