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{'Nk2': 24156, 'analytic_conductor': 48.22165778065122, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [11, -1], [61, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6039, 1, [1343, 5491, 5248], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 14, 'field_disc': 50365449715930651304366472, 'field_disc_factorization': [[2, 3], [3, 2], [97912689533, 1], [7144325605597, 1]], 'field_poly': [-1, -15, 74, 386, -802, -745, 1123, 497, -627, -148, 167, 20, -21, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, -15, 74, 386, -802, -745, 1123, 497, -627, -148, 167, 20, -21, -1, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396679894935, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '6039.2.a.j', 'level': 6039, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 11, 61], 'level_radical': 2013, 'minimal_twist': '2013.2.a.h', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}-\\beta _{10}q^{5}+(1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 14, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6039.2.a', 'trace_display': [1, 0, -1, 9], 'trace_hash': 352940048031224476, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.132', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.754', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6.813', 'prec': 17}, {'__RealLiteral__': 0, 'data': '382.706', 'prec': 24}, {'__RealLiteral__': 0, 'data': '619.432', 'prec': 24}, {'__RealLiteral__': 0, 'data': '19781.211', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [14, 1, 0, 15, -1, 0, 9, 0, 0, 6, 14, 0, 1, 7, 0, 17, 9, 0, 22, -23, 0, 1, -1, 0, 25, -4, 0, 37, 6, 0, 9, -4, 0, 8, -18, 0, 18, -8, 0, 16, 25, 0, 25, 15, 0, 20, -36, 0, 25, -2, 0, -13, 0, 0, -1, 40, 0, 33, -17, 0, 14, 13, 0, -6, 61, 0, 22, -66, 0, 44, 13, 0, 20, 12, 0, 49, 9, 0, 31, -88, 0, 2, -32, 0, 2, 14, 0, 0, 21, 0, 45, 14, 0, -31, -23, 0, 37, 38, 0, 23, 7, 0, 63, 58, 0, -25, -51, 0, 15, 6, 0, 109, -24, 0, 45, -28, 0, -9, -15, 0, 14, 1, 0, 72, -42, 0, 37, 0, 0, 20, -30, 0, 44, -63, 0, 18, 1, 0, 40, -91, 0, 50, 1, 0, 1, -14, 0, 19, 29, 0, 35, -3, 0, 7, -4, 0, 60, -77, 0, 12, 86, 0, 88, 72, 0, -4, -27, 0, 21, 1, 0, 46, -23, 0, 19, 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-98, 0, -311, -284, 0, 225, 163, 0], 'weight': 2, 'weight_parity': 1}
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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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -1, -1, 0, -1, 1, 0, -1, -1, -1, 1, -1], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 0, -1, 0, -1, 0, 1, 0, -1, 0, 0, -1], [0, 1, 1, 1, 0, -1, 0, 0, 0, 1, -1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0], [1, 1, -1, 0, 0, 0, -1, 0, 0, -1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, 0, -1, 1, 0, 0, -1, -1, 1, -1], [-1, 1, -2, 0, -1, 0, -2, 1, 1, 0, -2, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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2, -5, 7, -1, 0, 9, -4, 3, 5, 0], [-7, -11, 6, -3, -4, 2, 7, -2, 1, 6, 3, 0, 2, 9], [1, 1, 4, -4, -2, 3, -5, 6, -4, -7, -9, -6, 15, -3], [-11, -5, 7, -1, -9, 0, 4, 8, -11, 5, -3, -8, 7, -1], [10, 1, -8, -7, -9, 0, -14, 1, 3, -10, 9, 1, 4, -11], [9, 9, -8, 3, -3, 0, -6, -5, 0, 0, 4, -7, 0, -4], [3, 12, -13, -6, 4, -1, -6, -6, 9, -2, 7, 5, -8, -1], [14, -1, 2, 6, -3, 2, 2, -1, -2, 8, -7, 0, 4, 5], [-15, -5, 12, 7, 0, 4, 11, 6, -10, -3, -5, -5, 1, 1], [8, -3, -6, -3, 1, 0, -5, 3, 4, -6, -3, 8, -6, -2], [-36, 1, 4, 3, 4, 1, 4, 3, -13, -6, -6, -14, 8, 0], [-16, 1, 6, 2, -5, -6, -8, 10, 3, -1, -5, -2, 8, -13], [11, 0, 5, -3, -5, 3, -3, -3, 12, -3, 1, 16, -11, 0], [10, 2, -1, 2, 4, 4, 3, -5, 2, -5, 10, 8, -6, -1], [-7, 7, -4, -6, -7, 0, -10, 5, -4, -6, 1, -6, -3, -7], [13, -5, -1, -2, 1, 3, 10, -4, 7, 11, 1, 11, -12, 0], [3, -7, -7, -2, -4, -6, 11, -4, 0, 11, -6, 13, -14, -8], [6, 1, -9, -9, -6, 4, 1, -1, -2, 3, -2, -9, 3, -1], [-11, -1, 3, 2, -10, -4, -12, 7, -2, -6, -10, -15, 1, -8], [-4, 8, -4, -6, 5, 4, 7, -3, -1, -9, 10, 4, 0, -2], [-18, -2, 7, 3, 6, 6, 13, -6, -15, 7, 6, 4, 0, 18], [-6, 6, -8, 8, 2, 4, -7, 1, 4, 5, 2, -9, 4, -1], [30, 9, -3, -5, -14, -2, -6, -4, 7, 1, -4, 4, -5, -5], [15, -5, -5, -3, -4, -10, -2, -5, 7, 7, -3, 10, -11, -1], [3, -8, 7, -4, -6, 0, 3, -3, -1, 8, -5, -1, 8, 1], [11, -6, 3, 0, -8, -6, -5, 13, -2, 5, -16, -11, 5, -7], [-9, 9, -14, -6, 4, -2, -5, 0, 13, -3, 5, 4, 6, -16], [12, -3, 4, 10, 11, 0, 3, 2, -4, -3, 1, -4, 2, 2], [-10, -10, -14, -1, -10, 0, -10, 4, 3, 8, -4, -4, 9, -3], [-3, 18, -2, -2, -11, -5, -17, 12, 3, 2, -18, -7, 5, -8], [-1, -18, -1, 0, -2, -4, 12, -5, 4, 15, 2, 5, 4, 7], [16, 3, -3, 6, 0, -4, 1, 0, -1, 9, -10, 4, 1, -6], [-19, 15, 5, -9, -1, 1, -17, 7, 1, -14, -8, -4, 6, -5], [-13, -7, 1, 5, 14, -6, 8, -3, 1, 0, 4, 4, 7, 0], [3, 4, 6, 5, 9, 4, 4, 7, -4, -10, 10, 2, 3, -2], [6, 0, -10, -2, 0, -1, -5, 8, 10, -2, 3, 5, -1, -8], [-18, 9, -10, 1, 6, 2, -5, -5, -4, -12, 6, 3, 6, -1], [26, 12, 0, -5, -8, 3, -15, 3, 3, -13, 11, 1, -3, 0], [-3, -2, -6, 2, -6, 6, 4, 6, -9, 3, -15, -8, -4, -2], [8, -7, -3, 2, 1, 3, -11, 2, 3, 0, -3, 2, -2, 1], [7, -7, 4, 0, 16, -2, 9, -5, 14, 1, 19, 15, -14, 7], [-12, 5, 8, -5, 3, -6, -12, 11, -3, -8, -17, -5, 0, -11], [4, -5, 5, 3, 0, 1, 4, 1, -5, 4, -9, -7, 8, 4], [28, 4, -8, -11, -2, 5, -2, -3, 10, 3, -3, 9, -8, -2], [-6, -10, 6, 1, 13, 0, 15, -3, -6, 8, -7, -3, -1, 12], [3, -13, 1, 5, 2, -4, 10, -5, -6, 10, -6, -5, -4, 3], [2, 4, 0, -1, -4, 0, -11, 3, -5, -9, -8, 0, -7, 0], [-12, 13, -7, 0, -5, 4, -8, -1, -4, -6, -2, -11, -1, -2], [3, -12, 0, 1, -4, 9, -2, 4, -15, -8, 2, -8, -1, -2], [11, 15, -8, 1, -6, 6, -4, 4, -5, -2, -4, -17, 5, -9], [7, 11, 11, -2, -8, -5, -2, -3, -3, 5, -10, 1, 0, 4], [-11, -6, 3, 8, 3, 0, 4, -1, -2, 7, 7, 0, -5, 7], [1, 13, -14, -1, -9, 5, -13, 4, 4, -10, -5, -7, -3, -7], [-27, -2, 14, 7, 0, -5, -7, 3, -2, 1, -7, -7, 8, 0], [-18, -5, -6, 5, 1, 0, 11, 0, 6, 9, 2, 0, -8, 0], [-17, -2, 7, 4, 9, -7, 12, 0, -2, 6, 7, 14, 3, -5], [18, 4, 8, -1, -15, 1, -11, 7, -11, -3, -13, -17, 5, 3], [-6, 7, 6, -1, 0, 8, -2, -3, -9, -8, -7, -8, 6, 4], [17, 5, -11, -3, 0, 5, -11, 2, 11, -12, 6, -6, 6, -17], [4, -1, 9, 4, 11, 0, 1, -6, -4, -5, 11, 5, 0, 0], [3, 8, -1, 2, -10, -1, -8, 11, -5, -13, -9, -12, 7, -6], [-10, 0, 4, 12, 12, 6, 18, -3, -13, -7, 19, 0, -2, 10], [28, 12, 4, 5, 12, -2, 1, -10, 3, -2, 2, 7, -10, 5], [-5, -8, -2, -2, -8, -5, -2, -4, 3, 6, 4, 3, -8, -3], [-20, 2, 4, 1, -3, -2, 0, -3, 1, 5, -9, -3, -8, -5], [17, 4, 8, 3, 1, -6, 4, 0, 6, 10, -7, 3, 1, 5], [-5, 14, -4, -5, -4, -2, 1, 0, 3, 2, 4, -4, 9, -5], [-1, -22, 3, 0, 10, -4, 14, 0, 8, 9, 12, 6, -5, 5], [11, 19, 5, 6, 13, -3, -2, 3, -1, -2, 1, 1, -4, -2], [11, -4, -1, -4, -1, -9, -9, 5, 7, -8, -7, 6, -5, -11], [1, -13, -1, 0, 5, 1, 17, -7, -2, 6, 8, 15, -11, 4], [18, -5, -15, -8, -12, -3, -3, 5, 8, 8, -3, 8, -13, -10], [22, -3, -3, -2, -2, -1, 4, -11, 6, 4, 6, 8, -8, -2], [24, -11, -5, -6, -6, 1, 2, 6, 4, -3, -12, -1, 5, -3], [2, 3, -4, -3, 5, -4, 1, -5, 6, -4, 14, 12, -15, 9], [11, -1, 6, 4, 3, 4, -7, -5, -7, -9, 10, 6, 1, 3], [14, -6, 0, -1, 6, 4, 10, -4, 6, -4, 16, 22, -14, 4], [-11, 15, -5, -6, -3, -5, -10, 5, 8, -9, 8, -1, 12, -3], [-6, 7, 5, 4, 10, 7, 15, -2, -5, -8, 11, 0, -4, 8], [-12, -2, 1, -4, 5, 8, 3, 2, -1, -10, 3, 4, 1, 1], [11, 0, 3, -4, 1, 2, -4, 7, 13, -6, 4, 5, 2, -1], [-12, -8, 3, -4, -4, -2, 14, 1, -1, 10, -4, 7, -3, -2], [-17, -6, -4, -2, 3, -3, 8, -3, -3, 3, 5, 6, 1, -3], [-2, 3, 2, -4, 3, -3, 17, -7, -5, 2, 10, 11, -1, 5], [28, -22, -8, 1, -10, -2, 1, -7, 3, 5, -3, 6, -15, 4], [22, -6, -2, 0, 11, 0, 17, -14, 3, -5, 22, 18, -8, 7], [30, 2, -1, -2, -3, 3, 3, -5, 0, -3, 2, -3, -1, -7], [-1, 2, -8, 0, -14, 3, -11, 4, 6, -4, -3, -2, 2, -10], [-11, 14, -11, -3, 13, -2, -2, -6, 4, -8, 17, 4, 1, 5], [-10, -22, -9, -2, -8, 3, 1, -2, 9, 4, 0, 7, -8, 5], [-4, 4, -3, 2, -2, -9, 3, 0, -2, 7, 1, -5, 6, 4], [4, 1, 2, -8, 0, 0, 4, 5, 2, 2, -14, 6, -1, -5], [-1, 10, 0, 8, 8, -5, -1, 0, 0, 2, 6, -6, 14, -6], [2, -1, 6, 4, -2, 12, -1, -3, -5, -4, -1, 0, -8, 5], [-7, -15, 9, -6, -9, -4, 3, 8, 0, 9, -7, 1, 2, -1], [-30, -3, 11, -11, -2, -1, -4, 4, -3, -1, -8, -4, 3, -3], [-3, 13, 8, -3, 1, 5, -8, 4, -16, -4, -6, -10, 2, 3], [22, -2, -1, -9, -4, -2, -12, 6, 4, -8, -13, -3, -9, 3], [8, 6, -10, -1, -10, 6, 1, -4, -13, 3, -6, -14, 5, 5], [31, 3, -7, -2, 5, 2, -14, 2, 12, -20, 15, 1, -5, -2], [-10, -5, 10, 4, 12, -6, -4, 7, -2, -1, 3, -3, -6, 3], [-8, -5, 9, 1, 0, -1, -1, -4, 3, 9, -11, 7, -5, 8], [-5, 16, -19, -10, -13, -2, -9, 5, 5, -10, -4, -7, 4, -12], [34, 7, -14, -4, 5, 2, -11, -4, 17, -5, 7, 6, 2, -2], [8, -6, 4, 0, 11, -1, 6, -12, 2, 3, 19, 13, 5, -1], [12, -3, 6, 1, 3, -3, -7, 1, 4, -2, 3, -4, 3, -7], [-17, -7, 8, 6, 5, 0, 2, 0, 0, -5, 4, 8, -5, 1], [-11, 0, 9, 7, 10, -3, 6, 6, -10, 8, -15, -8, 12, -1], [4, -9, -8, 1, 2, 3, 13, -4, 4, 1, 8, 2, 5, 4], [-19, -1, 16, -3, 8, -3, 4, 10, -5, -1, 3, 9, 3, 6], [-5, -2, 2, 8, 7, -9, 13, -4, -9, 9, 2, 10, -6, 0], [11, 15, -5, -4, -7, -3, 1, 2, 0, 5, 3, -1, 1, 2], [-11, -2, 5, 4, 7, 1, 3, 3, -6, 2, -3, 7, -3, 5], [-14, -8, -3, 3, -1, 5, 22, -7, -10, 9, 16, 7, 8, 7], [5, -10, 8, -6, 2, -2, 6, -9, -1, 13, -7, 3, -7, 16], [-2, 10, -6, -12, -1, -6, -7, -1, 17, -14, -1, 2, 1, -14], [-18, -2, 11, -2, 5, 4, 5, 2, -11, 0, -2, -3, -1, 9], [17, -10, 19, 2, -6, -1, 8, 10, -12, 0, -2, 6, 7, 2], [4, -7, 4, -3, 9, -3, -4, -2, -3, -1, -4, -3, 0, 3], [11, -14, -8, -12, -8, -1, 10, -2, 6, -2, -5, 7, -7, 0], [-34, -14, 9, 3, 2, 2, 0, 5, -11, 5, -12, -12, 14, 4], [18, -27, 1, 0, 5, 4, 6, 1, -2, 0, -5, 3, -5, 4], [-22, 3, 3, -5, -7, -2, -1, -1, -9, -5, -2, -11, 5, 4], [-6, 13, 18, -1, 2, -2, 2, 7, -10, -4, -1, -8, 10, 4], [2, 0, -4, -2, -6, 0, 0, 11, -6, -2, -9, -5, -4, 1], [-4, 9, -3, 1, 3, -3, 6, -5, -3, 7, 9, 9, -3, -5], [13, -4, -4, 1, -11, -2, -6, -2, -9, 6, -9, -1, 1, -1]], 'char_orbit_index': 1, 'field_poly': [-1, -15, 74, 386, -802, -745, 1123, 497, -627, -148, 167, 20, -21, -1, 1], 'hecke_orbit_code': 40532396679894935, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1, 4505, 4505, 4505, 4505, 901, 4505, 4505, 901, 4505, 4505], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [15, 0, 7, 0, 0, -1, 0, 0, 0, 0, 1, 1, 0, 0], [0, 28, 0, 9, 0, -1, 1, 0, 1, 1, 0, 1, -1, 0], [84, -1, 48, 1, 0, -10, 2, 0, -2, 1, 9, 9, 0, 1], [-1, 168, 2, 67, -1, -12, 12, 0, 9, 13, -1, 10, -12, 2], [504, -13, 326, 14, -1, -79, 28, -1, -26, 16, 66, 64, -2, 16], [-12, 1046, 33, 472, -12, -106, 114, -4, 57, 125, -10, 79, -109, 35], [3147, -118, 2204, 141, -11, -579, 282, -20, -243, 174, 464, 426, -37, 176], [-89, 6644, 370, 3258, -98, -839, 984, -75, 302, 1066, -56, 586, -898, 405], [20093, -923, 14874, 1251, -72, -4113, 2491, -256, -2010, 1609, 3245, 2777, -443, 1652], [-465, 42680, 3528, 22304, -681, -6318, 8029, -911, 1339, 8540, -128, 4261, -7055, 3916]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -5, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-13953, -27224, 307840, -83942, -411132, 140254, 186606, -62411, -35539, 10454, 2838, -586, -71, -1], [-22401, 24637, 253645, -233864, -713699, 125703, 556827, -4527, -179663, -7732, 25486, 1503, -1317, -82], [-1068, 43281, -209250, 306853, 435843, -466936, -273749, 245494, 74721, -59981, -9372, 6964, 444, -311], [-17712, -67706, 618105, 76842, -1428903, -232439, 1032859, 180436, -320701, -54664, 44412, 7221, -2254, -349], [885, -2743, -92020, 158118, 158677, -248794, -100390, 146488, 29344, -40303, -3957, 5183, 199, -251], [-20941, 113882, 883850, -1595379, -1915614, 2048843, 1308832, -1050382, -388563, 260758, 52066, -31082, -2582, 1423], [-12056, 52752, 607560, -1048784, -1286659, 1511263, 893382, -858752, -271938, 232803, 37201, -29727, -1872, 1433], [3337, -5623, -77090, 162984, 115493, -277112, -67311, 170845, 18455, -48107, -2343, 6246, 111, -303], [21502, 14111, -424595, 591393, 604778, -1177831, -360249, 786304, 104816, -233541, -14292, 31524, 729, -1576], [36556, -176207, -1064330, 2324484, 1876454, -3477208, -1203902, 2019747, 352898, -551558, -47406, 70487, 2367, -3393]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 14, 'label': '6039.2.a.j', 'level': 6039, 'maxp': 2999, 'weight': 2}
-
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{'AL_dims': [[[[3, 1], [11, -1], [61, 1]], 25, 1], [[[3, -1], [11, -1], [61, -1]], 46, 3], [[[3, 1], [11, 1], [61, 1]], 25, 1], [[[3, -1], [11, 1], [61, 1]], 44, 3], [[[3, -1], [11, 1], [61, -1]], 29, 3], [[[3, 1], [11, 1], [61, -1]], 25, 1], [[[3, 1], [11, -1], [61, -1]], 25, 1], [[[3, -1], [11, -1], [61, 1]], 31, 3]], 'ALdims': [25, 25, 25, 25, 44, 29, 31, 46], 'Nk2': 24156, 'analytic_conductor': 48.22165778065122, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6039, 1, [1343, 5491, 5248], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 737, 'dim': 250, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33560471, 'hecke_orbit_dims': [5, 6, 11, 11, 12, 12, 13, 13, 13, 14, 19, 21, 25, 25, 25, 25], 'label': '6039.2.a', 'level': 6039, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 11, 61], 'level_radical': 2013, 'mf_dim': 752, 'mf_new_dim': 250, 'num_forms': 16, 'plus_dim': 110, 'prim_orbit_index': 1, 'relative_dim': 250, 'sturm_bound': 1488, 'trace_bound': 7, 'trace_display': [0, 0, 2, 0], 'traces': [250, 0, 0, 250, 2, 0, 0, 0, 0, -12, 4, 0, 0, -20, 0, 242, 8, 0, -4, 16, 0, 0, 2, 0, 236, 16, 0, 20, -20, 0, -26, 0, 0, 32, -4, 0, -6, 40, 0, 48, 0, 0, -8, 2, 0, 32, 4, 0, 250, 40, 0, 4, 16, 0, -14, -56, 0, -24, 38, 0, 0, 24, 0, 186, 20, 0, -30, 56, 0, 84, 10, 0, 28, 76, 0, -88, 0, 0, 16, 68, 0, 8, 0, 0, 12, -20, 0, 0, 26, 0, -64, 60, 0, -4, -28, 0, 26, 136, 0, 278, 32, 0, -36, 128, 0, 64, 60, 0, 4, 0, 0, 104, 38, 0, 38, 48, 0, 140, -8, 0, 250, 10, 0, -68, 42, 0, 28, 0, 0, 96, -112, 0, -48, 92, 0, 112, 22, 0, -16, 52, 0, 16, 8, 0, -48, -28, 0, 28, -52, 0, -20, 188, 0, -8, -2, 0, 10, 4, 0, -20, 48, 0, 8, 88, 0, -52, -28, 0, 294, 46, 0, 52, -20, 0, 44, 6, 0, 124, -50, 0, 2, 36, 0, -36, 82, 0, 8, 66, 0, 16, 26, 0, -24, 148, 0, 206, -76, 0, -36, 24, 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-648, 0, -216, 52, 0, -408, 24, 0, 384, -28, 0, 4, -734, 0, -28, -152, 0, -72, -392, 0, -1064, -284, 0, 16, -112, 0, -260, -536, 0, 396, -328, 0, -28, -276, 0, -96, -24, 0, -204, 56, 0, 380, 1176, 0, 428, -246, 0, -144, 48, 0, -304, -206, 0, -36, -188, 0, -892, -128, 0, 106, -228, 0, 716, -1080, 0, 108, -152, 0, -316, -60, 0, -324, 364, 0, 116, 212, 0, 0, 540, 0, -38, 188, 0, -724, -336, 0, 240, -24, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1285828
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 14, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '6039.2.a.j', 'source_level': 6039, 'target_char_orbit': 1, 'target_dim': 14, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '2013.2.a.h', 'target_level': 2013, 'twist_class_label': '2013.2.a.h', 'twist_class_level': 2013, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1285829
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 14, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '6039.2.a.j', 'source_level': 6039, 'target_char_orbit': 1, 'target_dim': 14, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '6039.2.a.j', 'target_level': 6039, 'twist_class_label': '2013.2.a.h', 'twist_class_level': 2013, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4071150
{'charpoly_factorization': [[[-1, -15, 74, 386, -802, -745, 1123, 497, -627, -148, 167, 20, -21, -1, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 2}
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id: 4071151
{'charpoly_factorization': [[[0, 1], 14]], 'hecke_orbit_code': 40532396679894935, 'p': 3}
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id: 4071152
{'charpoly_factorization': [[[-17240, -31268, 85462, 37207, -94641, -9611, 40005, 5, -8198, 261, 876, -30, -47, 1, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 5}
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id: 4071153
{'charpoly_factorization': [[[2000, 15844, -23864, -67987, 88676, 46348, -87098, 18359, 13200, -5204, -425, 387, -21, -9, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 7}
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id: 4071154
{'charpoly_factorization': [[[-1, 1], 14]], 'hecke_orbit_code': 40532396679894935, 'p': 11}
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id: 4071155
{'charpoly_factorization': [[[-30904, 161844, 2526238, 311705, -2104113, -142588, 565498, 22553, -66920, -1837, 3799, 71, -101, -1, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 13}
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id: 4071156
{'charpoly_factorization': [[[-2464, -34560, 52466, 321879, -194290, -469545, 103619, 170783, -16478, -19030, 1680, 760, -77, -9, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 17}
-
id: 4071157
{'charpoly_factorization': [[[-372904, -907542, 1669088, 1826469, -3898270, 1662652, 296423, -371220, 59143, 17420, -6374, 272, 139, -22, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 19}
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id: 4071158
{'charpoly_factorization': [[[-101900800, 57121760, 99520576, -27702169, -32706597, 3961472, 4413930, -270777, -290230, 9821, 9757, -170, -160, 1, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 23}
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id: 4071159
{'charpoly_factorization': [[[4669602512, -1405884280, -1852620762, 697279679, 219514428, -113502316, -4863380, 7344831, -488125, -174531, 19390, 1714, -242, -6, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 29}
-
id: 4071160
{'charpoly_factorization': [[[302065736, -17480178, -325278958, 103540831, 73299057, -31318191, -5283630, 3335674, 11491, -141160, 9594, 2032, -195, -9, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 31}
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id: 4071161
{'charpoly_factorization': [[[-207834696, -110411748, 285888846, 229415769, -18042521, -45409895, -2052421, 3619646, 158967, -145265, -957, 2753, -86, -18, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 37}
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id: 4071162
{'charpoly_factorization': [[[7101316, -124448906, 373431448, -291274201, -37905795, 122990661, -40604543, -665011, 2146054, -208935, -28550, 4844, -19, -25, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 41}
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id: 4071163
{'charpoly_factorization': [[[6851179168, -19783965700, -10187580836, 4352781779, 1632097208, -403996347, -93038263, 19322373, 2205340, -481578, -17181, 5736, -70, -25, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 43}
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id: 4071164
{'charpoly_factorization': [[[-2272971239168, -1005157933468, 143891921668, 126973424103, 8498161938, -4807400482, -768562155, 46325626, 17027636, 571721, -123454, -10114, 123, 36, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 47}
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id: 4071165
{'charpoly_factorization': [[[-50664924, 338642262, 802110732, -1644210867, -872460391, 142381689, 79199589, -4285658, -2730160, 52884, 44255, -227, -340, 0, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 53}
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id: 4071166
{'charpoly_factorization': [[[10127082816, -1059850512, -18546914676, -7042253019, 4361986283, 2106539067, -117743352, -92229603, -1565679, 1378822, 56912, -8299, -437, 17, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 59}
-
id: 4071167
{'charpoly_factorization': [[[-1, 1], 14]], 'hecke_orbit_code': 40532396679894935, 'p': 61}
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id: 4071168
{'charpoly_factorization': [[[-11152814800, 85007231770, -40076549556, -10386722411, 7619098256, -236110449, -370205235, 39840548, 6092263, -1048201, -15175, 9005, -257, -22, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 67}
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id: 4071169
{'charpoly_factorization': [[[6346448960, -40987926296, 86126251160, -71654183149, 26599299002, -3518799783, -370757592, 134878051, -3758419, -1533539, 90246, 7366, -528, -13, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 71}
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id: 4071170
{'charpoly_factorization': [[[457179272, 1312877468, 1231956290, 229615621, -269083547, -124095806, 9128612, 11054479, 251085, -377088, -3239, 5858, -207, -20, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 73}
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id: 4071171
{'charpoly_factorization': [[[-33860837584, 291930714652, -124989959652, -18249345063, 14077876019, -292880422, -563778923, 44156274, 9527777, -1116838, -55576, 10514, -83, -31, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 79}
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id: 4071172
{'charpoly_factorization': [[[1517677024, 1293192456, -3066820452, -506512067, 997326301, 90999358, -101051497, -10457714, 3703689, 454634, -45273, -7162, 35, 32, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 83}
-
id: 4071173
{'charpoly_factorization': [[[12934626280804, -6966045100834, -2347220343922, 866869845971, 76019389600, -32454957798, -546384186, 532025413, -8001968, -4181220, 132903, 15377, -639, -21, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 89}
-
id: 4071174
{'charpoly_factorization': [[[39289496832, -154414314432, 25496215194, 120933892323, 15836415500, -7323227966, -828850102, 185702483, 13312351, -2433910, -68176, 15695, -93, -37, 1], 1]], 'hecke_orbit_code': 40532396679894935, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '6039.2.a.j', 'level': 6039, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 205348000
{'hecke_orbit_code': 40532396679894935, 'n': 1, 'trace_an': 14}
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id: 205348001
{'hecke_orbit_code': 40532396679894935, 'n': 2, 'trace_an': 1}
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id: 205348002
{'hecke_orbit_code': 40532396679894935, 'n': 3, 'trace_an': 0}
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id: 205348003
{'hecke_orbit_code': 40532396679894935, 'n': 4, 'trace_an': 15}
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id: 205348004
{'hecke_orbit_code': 40532396679894935, 'n': 5, 'trace_an': -1}
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id: 205348005
{'hecke_orbit_code': 40532396679894935, 'n': 6, 'trace_an': 0}
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id: 205348006
{'hecke_orbit_code': 40532396679894935, 'n': 7, 'trace_an': 9}
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id: 205348007
{'hecke_orbit_code': 40532396679894935, 'n': 8, 'trace_an': 0}
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id: 205348008
{'hecke_orbit_code': 40532396679894935, 'n': 9, 'trace_an': 0}
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id: 205348009
{'hecke_orbit_code': 40532396679894935, 'n': 10, 'trace_an': 6}
-
id: 205348010
{'hecke_orbit_code': 40532396679894935, 'n': 11, 'trace_an': 14}
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id: 205348011
{'hecke_orbit_code': 40532396679894935, 'n': 12, 'trace_an': 0}
-
id: 205348012
{'hecke_orbit_code': 40532396679894935, 'n': 13, 'trace_an': 1}
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id: 205348013
{'hecke_orbit_code': 40532396679894935, 'n': 14, 'trace_an': 7}
-
id: 205348014
{'hecke_orbit_code': 40532396679894935, 'n': 15, 'trace_an': 0}
-
id: 205348015
{'hecke_orbit_code': 40532396679894935, 'n': 16, 'trace_an': 17}
-
id: 205348016
{'hecke_orbit_code': 40532396679894935, 'n': 17, 'trace_an': 9}
-
id: 205348017
{'hecke_orbit_code': 40532396679894935, 'n': 18, 'trace_an': 0}
-
id: 205348018
{'hecke_orbit_code': 40532396679894935, 'n': 19, 'trace_an': 22}
-
id: 205348019
{'hecke_orbit_code': 40532396679894935, 'n': 20, 'trace_an': -23}
-
id: 205348020
{'hecke_orbit_code': 40532396679894935, 'n': 21, 'trace_an': 0}
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id: 205348021
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