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mf_newforms • Show schema
Hide schema
{'Nk2': 216, 'analytic_conductor': 0.4311921709149141, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [54, 9, [29], [8]], 'cm_discs': [], 'conrey_index': 7, 'conrey_indexes': [7, 13, 25, 31, 43, 49], 'dim': 12, 'field_disc': 40419192196881, 'field_disc_factorization': [[3, 18], [17, 2], [19, 2]], 'field_poly': [57, -342, 936, -1584, 1905, -1698, 1225, -678, 318, -110, 33, -6, 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, [5184, -7776, 2592, -3672, 3564, 5184, 1053, -27, 162, 24, 9, 3, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538831926, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 27, 5, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '54.2.e.b', 'level': 54, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '54.2.e.b', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\beta _{4}+\\beta _{6})q^{2}-\\beta _{11}q^{3}+\\beta _{3}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '54.2.e', 'trace_display': [0, 0, -3, -3], 'trace_hash': 1820293566675637851, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.560', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.595', 'prec': 17}, {'__RealLiteral__': 0, 'data': '408.525', 'prec': 24}, {'__RealLiteral__': 0, 'data': '545.073', 'prec': 24}, {'__RealLiteral__': 0, 'data': '23635.323', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [12, 0, 0, 0, -3, 3, -3, -6, -12, -3, -12, -3, 12, -3, -18, 0, -6, 6, -9, 6, 24, -12, 30, 0, -9, 18, 0, 12, 15, 27, 0, 0, 36, -15, 3, -3, -15, 3, -42, -3, -12, -15, 9, -3, 18, 3, -9, 3, -39, -27, -27, 12, -12, -36, 18, -3, 18, -3, 12, -18, -36, -12, 3, -6, -15, -18, 36, 3, 18, 39, 12, 24, -21, 33, 30, 3, 3, 18, 39, 6, 0, 6, 18, -9, 45, 9, 27, 6, 12, 27, -6, -6, -33, 36, -15, 6, 39, -12, 9, -15, -69, -45, -18, -6, -63, -12, -30, -18, 6, -45, -54, -3, -36, 6, -36, -3, -15, 3, 69, -9, -36, 9, 27, -27, 12, 12, -3, 0, 6, -15, -39, 36, -18, 42, 0, 12, -12, 36, -48, 39, 54, -15, 39, -3, 0, 18, 45, -30, 84, -21, 18, -9, 0, 3, 75, 15, 54, -42, -9, -3, -12, -18, -6, -12, -27, 0, -45, -12, 48, 0, 48, -12, -18, 36, 6, 6, 9, -15, 42, 36, 12, -9, -30, -6, 102, 9, -54, -18, 0, -60, 12, 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 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, -1], [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -1, 0, -1, 1, 0, 1, 0], [1, 0, -1, 0, 0, 1, 0, 0, 0, -1, 0, 0], [-1, 0, 1, 0, 1, 0, -2, 1, -1, 0, 0, 1], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 2, 1, -1, 0, 0, 0, 0, -1, 1, -1, 0], [-1, 0, 0, 0, 1, -1, 0, 1, 0, 0, -1, 1], [0, -1, -1, 1, 1, 1, 0, 1, 0, -2, -1, 1], [0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0], [2, 0, 0, -2, -1, 1, 0, -1, 1, 2, 0, -1], [-1, 0, 1, -2, 0, 0, 0, -1, -1, 2, 0, 0], [0, -2, -1, -2, 3, 0, 0, 0, 0, 2, 1, 1], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [-1, 0, -1, 2, -3, 0, 1, -1, -1, -1, -1, -1], [0, 0, 0, 0, -1, 0, -2, -1, -1, 0, 0, -1], [1, -2, -1, -1, -1, 0, 1, 0, 1, -1, 0, 1], [0, 0, 1, 0, -1, 0, 0, 0, 0, 0, -1, -1], [2, 0, 0, 4, -2, -1, 2, 1, 1, 0, 0, 0], [-1, 1, 1, 0, 1, 0, -1, 0, 1, 0, 1, -1], [1, 2, 1, 0, 4, -1, -2, 1, 0, 0, 1, 0], [0, 0, 0, 0, 1, 0, -1, 1, 0, 0, 0, 1], [-3, 4, 0, 2, -2, 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10, -10, -4, -7, 3], [-4, 12, -1, -12, 3, 0, 7, -2, 2, 6, 5, 3], [0, -10, 3, 4, 14, -4, 1, 1, 5, -4, 0, 4], [9, 3, -3, 0, 9, 0, -3, -3, 0, 0, -6, -3], [-7, 4, 0, -4, -3, 2, 2, -6, -1, -4, -6, -1], [6, -12, 0, 3, -5, -4, 0, -2, -5, 12, -2, -5], [-1, 6, 1, -8, 2, -2, -4, 0, 1, 4, 2, 6], [-3, 0, -9, 6, 2, 9, 0, -6, -6, -6, 0, 0], [-3, -4, 4, 0, -12, -4, 4, -4, -7, 4, -7, -4], [-2, 0, -7, 8, 1, 4, -8, 8, 4, -1, 7, 0], [14, 10, 1, 0, -11, 0, 20, 0, 4, 6, 4, -1], [15, -14, -8, -4, 11, 8, 0, 2, 3, -10, 1, -1], [-2, -2, 2, 4, 5, -1, -4, 0, -1, 4, 1, -3], [1, -13, 6, 12, -6, -4, 13, 6, 0, 0, -4, 2], [8, 3, -3, -10, 8, 8, -3, -3, 0, 0, 2, 5], [-1, 4, -8, 9, -11, 7, 8, 1, 0, -9, 0, -7], [2, -2, 2, -10, -12, -2, 0, -8, -6, 8, 2, -2], [-8, 0, 7, -12, -6, -1, 12, -2, -1, 6, -7, 0], [2, 0, 3, 5, 7, 3, -5, 3, 3, -7, -3, 0], [3, -8, 6, 8, -10, 0, 4, 1, -1, -4, -11, -10], [0, 4, -6, -1, -4, 6, 0, -11, -7, 5, 4, -4], [-19, 12, 1, -5, 2, -8, 8, -3, 1, 13, -7, -3], [5, -9, 0, -12, 6, 0, 2, 7, 8, 9, 7, 8], [-18, 2, 0, -14, -13, -1, 12, -3, -1, -2, -3, -1], [-6, 8, 6, -10, 8, 4, -8, 6, 0, 0, -8, 10], [-1, -6, 1, 9, 23, 0, -9, 0, -1, 9, 0, 5], [21, -10, -3, 10, 1, 0, 6, -7, 7, -14, 8, 1], [10, 0, 0, -2, -16, 4, 2, -8, 4, 16, 0, 0], [1, -1, -7, 0, 14, 6, -8, 6, 2, -12, 2, 7], [-6, -6, 3, -8, 12, -6, -9, 3, -9, 8, 0, 6], [5, -6, -2, -8, 11, 1, -22, 3, -2, -14, -1, 3], [-8, -4, 3, 24, -9, -10, 4, 3, 0, 0, -1, -7], [3, -12, -3, -11, -18, 4, 2, 0, -1, -2, -4, -5], [-1, 5, 8, -10, 7, -4, -2, -3, 8, 8, 4, -3], [10, 0, -10, 8, 10, 7, -8, -1, 7, -10, 10, 0], [12, -3, -3, 3, 6, 0, -14, -3, 3, -9, 9, 6], [-4, 12, 5, 2, -12, 3, 10, -10, 5, 8, 8, -10], [-1, 4, -2, -6, 1, 4, -4, -2, 0, 0, 6, 2], [-3, 13, 0, 8, 7, -5, 0, -3, 7, -13, -3, 7], [22, -11, -2, -4, 9, 6, 11, -2, 0, 0, -4, 4], [-30, 26, 1, 13, -22, -5, 14, -9, 1, 1, -4, -9], [-15, 4, 11, -4, 6, 0, -12, 10, -10, 5, -4, 6], [-3, 0, -1, -8, -10, 0, 8, 7, 0, 10, 1, 0], [3, 0, 6, 0, -12, 1, 6, 1, -4, 18, -4, -6], [-10, -2, 0, 2, 4, 0, 4, 5, -5, 5, -1, 4], [10, -2, -4, -8, 1, 1, 2, 3, 11, 8, 0, -1], [7, -14, -7, 2, -2, -1, 4, 0, 8, -4, 1, 0], [4, 2, -3, -12, 3, 11, -2, -3, 0, 0, 8, 8], [-15, 1, 0, 2, -30, -6, 20, -5, -10, -1, -5, -10], [-2, -10, -7, 10, -6, -5, 8, 4, -7, -2, -12, 4], [12, -15, -8, 15, 2, 0, 0, 0, 0, -12, 2, 2], [-18, 3, 0, 0, 18, -3, -15, -3, 3, -2, 3, 0], [-8, 0, 2, 14, 4, -1, -14, 6, -1, -4, -2, 0], [-25, 10, 13, 0, 1, -10, -4, -10, -1, 12, -1, -13], [0, 12, -5, 18, 6, 5, 0, 10, 13, -6, 3, -3], [-11, 14, -4, -2, -19, 5, 22, -1, 6, 2, 0, -5], [-16, 16, 0, 8, 19, -14, -13, 7, 6, -16, 7, 6], [3, 0, 0, -6, -25, 10, 24, -1, -1, 0, -1, -1], [-1, 12, 1, -8, -1, 7, -7, 0, -8, 7, -7, 0], [5, -10, -6, 4, -4, 6, 0, 6, 3, -14, -3, 3], [0, 0, 7, 2, -20, 0, -2, -7, 0, 20, -7, 0], [-10, 12, 17, -12, -3, 0, -2, -2, 2, 12, -1, -3], [4, -12, -4, -4, 13, -4, -14, 9, -4, -10, -8, 9], [6, 6, 0, 0, -2, 6, 8, 9, 6, -6, 9, 6], [5, 0, -10, 20, -5, -1, 0, -10, 0, 0, 0, -11], [9, -16, -8, -9, 9, 1, 6, 0, -8, 15, -7, 0], [1, -4, 11, -6, 2, 2, -8, -13, -9, 6, 0, -2], [-10, 6, 2, 0, 10, -5, -6, -5, 7, 16, 7, -2], [0, 0, 11, 2, -2, -4, -2, 12, -4, 2, -11, 0], [4, 8, 2, 0, 2, -4, 4, -4, 12, -18, 12, -2], [15, 2, -7, -5, -14, 12, -14, -5, -11, 5, 0, -12], [16, -12, 5, -4, 1, -1, 4, -3, 5, 8, 4, -3], [-8, 8, 11, 17, 11, -4, -8, 11, 0, 0, 0, 7], [8, -8, 1, -12, 7, 1, -16, -2, -9, 12, 0, -1], [-10, 0, -6, 23, 13, -2, -23, 1, -2, -13, 6, 0], [-16, 0, 6, 17, 4, -12, -17, 3, -12, -4, -6, 0], [0, -8, -2, -4, 2, 2, 0, 2, -6, -4, -8, 8], [-7, 6, 12, -2, 2, -8, 0, -4, 1, 2, 0, 8], [-27, 24, 4, 10, -17, -7, 2, -7, 4, -8, -3, -7], [2, -20, -2, 4, 3, 2, 14, 0, 0, -14, -2, 13], [0, -4, 0, -8, 10, 0, -6, -1, 4, 4, -1, 4], [12, 8, -6, -8, 9, 6, 0, -1, -2, 16, -1, 1], [3, 14, -3, -14, -2, 0, -12, -7, 7, 4, 5, -2], [13, -11, 0, 0, -10, 5, -1, 5, -2, -8, -2, 0], [0, 0, -1, -2, -10, 0, 2, 4, 0, 10, 1, 0], [23, -18, -14, 4, 12, 6, -18, 8, -1, -4, 0, -6], [3, -3, -10, 2, -1, 10, 4, 1, -10, 2, 0, 1], [5, -2, -5, -5, -15, 2, 8, 0, 3, -8, -2, -2], [1, -16, -6, 0, -21, -1, 16, -6, 0, 0, -22, -7], [17, -3, -8, -9, 1, 8, 0, -1, 0, 6, 1, -1], [-6, -10, 9, 10, -2, 0, -12, 2, -2, 4, -4, -2], [-2, 0, -2, -20, -10, -2, 20, -9, -2, 10, 2, 0], [-6, 12, 12, -12, 24, -12, 0, 0, -6, 24, -6, 6], [-10, 7, 10, 2, 3, 3, -2, 0, -13, 2, -3, -1], [-5, 2, -5, 12, -8, 5, -2, -5, 0, 0, -2, 0], [3, 2, 0, 19, -5, -15, 6, 2, 1, -2, 2, 1], [10, 6, -10, 8, -2, 8, 1, 0, 2, -1, -8, -9], [-4, 16, -2, 0, 16, 7, 2, 7, 3, -26, 3, 2], [24, 0, -3, 6, 18, -3, -6, 6, -3, -18, 3, 0], [-6, -6, 0, 0, 3, 7, -9, 7, -10, -18, -10, 0], [9, 6, -5, 6, -15, 5, 0, -5, 10, 0, 15, -15], [-6, 16, 6, 0, -9, -6, -6, 0, 0, 6, 6, -15], [-12, -26, 0, -22, -27, -9, 20, -11, -7, 26, -11, -7]], 'char_orbit_index': 5, 'field_poly': [57, -342, 936, -1584, 1905, -1698, 1225, -678, 318, -110, 33, -6, 1], 'hecke_orbit_code': 4503874538831926, 'hecke_ring_character_values': [[29, [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 218, 218, 218, 218, 218, 218, 2, 218, 218, 218, 218], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -1, -1, 2, 1, -1, 2, 1, 1, -1, -1, 2], [-7, -1, -1, 5, 1, -1, -1, 4, 1, -1, -1, 2], [-10, -4, 2, -4, -2, 5, -13, 1, -5, 5, 2, -7], [32, -7, -1, -31, -2, 14, -7, -20, -8, 8, 11, -16], [77, 29, -16, -10, 4, -10, 65, -26, 25, -34, 14, 23], [-121, 104, 17, 161, -17, -94, 101, 85, 67, -88, -49, 110], [-535, -82, 149, 212, -56, -46, -271, 229, -101, 158, -187, -25], [257, -829, -19, -724, 151, 515, -826, -263, -509, 761, 41, -652], [3359, -406, -1108, -1951, 640, 812, 821, -1571, 160, -268, 1304, -478], [1451, 4949, -913, 2375, -521, -2308, 5630, 25, 3352, -5224, 1451, 3353], [-18736, 7973, 6587, 14021, -5168, -7273, 326, 9241, 2323, -3685, -6547, 6041]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1060, -3477, 5358, -5701, 3234, -1278, -252, 438, -324, 127, -33, 6], [-1706, 5080, -6002, 5579, -2069, 3777, -1512, 2301, -745, 544, -89, 36], [-2263, 10469, -20623, 24401, -18150, 9021, -2572, -445, 586, -408, 94, -27], [524, -4712, 12972, -19981, 20118, -12623, 6865, -1590, 449, 187, -34, 26], [555, -4618, 15545, -25822, 31404, -23990, 15780, -6686, 2615, -551, 120, -2], [-83, -1957, 9570, -19635, 26758, -23134, 16285, -8075, 3311, -953, 203, -27], [26, -116, 279, -404, 412, -295, 173, -70, 25, -5, 1, 0], [4350, -19689, 41571, -55710, 52308, -36614, 20190, -8138, 2726, -539, 98, 2], [-2201, 13927, -36296, 56973, -60760, 47327, -28887, 13234, -4892, 1277, -252, 26], [-5194, 25899, -58431, 84604, -84255, 64054, -37373, 17125, -6086, 1634, -307, 36], [-5469, 28743, -71337, 112914, -123498, 99754, -62791, 30405, -11563, 3325, -664, 91]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '54.2.e.b', 'level': 54, 'maxp': 997, 'weight': 2}
-
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{'Nk2': 216, 'analytic_conductor': 0.4311921709149141, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [54, 9, [29], [8]], 'conrey_index': 7, 'cusp_dim': 42, 'dim': 18, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461430, 'hecke_orbit_dims': [6, 12], 'label': '54.2.e', 'level': 54, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 66, 'mf_new_dim': 18, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 3, 'sturm_bound': 18, 'trace_bound': 1, 'trace_display': [0, 0, -6, 0], 'traces': [18, 0, 0, 0, -6, -6, 0, -3, -12, 0, -15, -3, 0, -6, -18, 0, -12, 6, 0, 12, 24, -9, 24, 0, -18, 36, 27, 0, 30, 36, -18, 0, 27, -9, 6, 6, 0, -12, -42, 0, -15, -24, -9, -6, 0, 0, 0, -6, -18, -36, 0, 0, -24, -36, 0, -6, -9, 0, 6, -18, -18, 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mf_twists_nf • Show schema
Hide schema
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id: 45408
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '54.2.e.b', 'target_level': 54, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 45409
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '54.2.e.b', 'target_level': 54, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 45410
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '162.2.e.b', 'target_level': 162, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 45411
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '162.2.e.b', 'target_level': 162, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 45412
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.2.u.b', 'target_level': 432, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 45413
{'conductor': 108, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '432.2.u.b', 'target_level': 432, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '108.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 45414
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '486.2.e.e', 'target_level': 486, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 45415
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '486.2.e.e', 'target_level': 486, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 45416
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '486.2.e.f', 'target_level': 486, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 45417
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '486.2.e.f', 'target_level': 486, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 45418
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '486.2.e.g', 'target_level': 486, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 45419
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '486.2.e.g', 'target_level': 486, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 45420
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '486.2.e.h', 'target_level': 486, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 45421
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '486.2.e.h', 'target_level': 486, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 45422
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1458.2.a.f', 'target_level': 1458, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 45423
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1458.2.a.g', 'target_level': 1458, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 45424
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1458.2.c.f', 'target_level': 1458, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 45425
{'conductor': 27, 'degree': 6, 'multiplicity': 2, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 12, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.2.e.b', 'source_level': 54, 'target_char_orbit': 3, 'target_dim': 12, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1458.2.c.g', 'target_level': 1458, 'twist_class_label': '54.2.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 180425
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 2]], 'hecke_orbit_code': 4503874538831926, 'p': 2}
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id: 180426
{'charpoly_factorization': [[[729, 0, 486, 0, 162, -54, 57, -18, 18, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 3}
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id: 180427
{'charpoly_factorization': [[[5184, -7776, 2592, -3672, 3564, 5184, 1053, -27, 162, 24, 9, 3, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 5}
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id: 180428
{'charpoly_factorization': [[[64, -480, -384, 5344, 26208, -1476, 1029, 603, 153, 88, 24, 3, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 7}
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id: 180429
{'charpoly_factorization': [[[81, 243, -1296, 702, 38313, 41148, 23409, 8397, 2430, 537, 90, 12, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 11}
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id: 180430
{'charpoly_factorization': [[[23104, -62016, 139488, -176528, 138096, -35442, 3189, 1926, -846, 43, 48, -12, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 13}
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id: 180431
{'charpoly_factorization': [[[110889, 125874, 157869, 70902, 57915, 21546, 15012, 3294, 1161, 156, 54, 6, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 17}
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id: 180432
{'charpoly_factorization': [[[94249, 48813, 83304, 43015, 53721, 24300, 13911, 3204, 1269, 265, 78, 9, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 19}
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id: 180433
{'charpoly_factorization': [[[5184, -62208, 336960, -478440, 671328, -472392, 199665, -63882, 16902, -3291, 414, -30, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 23}
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id: 180434
{'charpoly_factorization': [[[5184, 7776, 25920, 29376, 33696, 32724, 10125, -4239, -864, 132, 81, -15, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 29}
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id: 180435
{'charpoly_factorization': [[[4032064, -8023968, 6442848, 2198392, 377244, 14796, 17769, -9261, -1836, 421, 81, 0, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 31}
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id: 180436
{'charpoly_factorization': [[[142659136, 12039552, 37636368, 16521520, 10227924, 2696346, 682809, 92988, 15381, 1642, 225, 15, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 37}
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id: 180437
{'charpoly_factorization': [[[2653641, 3606606, 1955583, 542349, 143532, 75492, 34830, 11151, 3186, 753, 117, 12, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 41}
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id: 180438
{'charpoly_factorization': [[[49674304, -76879584, 56268144, -22280240, 5621328, -841554, -13389, 23481, 855, 268, 36, -9, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 43}
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id: 180439
{'charpoly_factorization': [[[419904, -1469664, 1364688, -151632, 1014768, 167670, -32805, -38637, 5508, 558, 99, 9, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 47}
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id: 180440
{'charpoly_factorization': [[[-72, -216, 414, 3, -63, 6, 1], 2]], 'hecke_orbit_code': 4503874538831926, 'p': 53}
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id: 180441
{'charpoly_factorization': [[[82464561, 68161986, 10967967, 4568913, 4345974, -1401219, 470448, -90288, 7452, 111, 9, -12, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 59}
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id: 180442
{'charpoly_factorization': [[[1000000, -1800000, 1080000, 2266000, 1634400, 832770, 337179, 104589, 24534, 4291, 531, 36, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 61}
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id: 180443
{'charpoly_factorization': [[[249393368449, -64271879100, 8636864022, -557686865, -48642471, 15539985, -1035015, -99927, 38745, -6185, 630, -36, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 67}
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id: 180444
{'charpoly_factorization': [[[488586816, 279306144, 190304640, 25589304, 12450672, -430434, 867051, -58347, 16875, -978, 225, -12, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 71}
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id: 180445
{'charpoly_factorization': [[[72361, -97647, 266538, -133943, 477801, -336762, 310857, -50616, 14427, 2245, 390, 21, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 73}
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id: 180446
{'charpoly_factorization': [[[591851584, -221287488, 4041888, -22247840, 16595640, -4745898, 2193699, -652383, 115101, -11936, 822, -39, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 79}
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id: 180447
{'charpoly_factorization': [[[13756474944, -6308217792, 2412768384, -861479712, 192648456, -25945110, 2718441, -271188, 20088, -981, 126, -18, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 83}
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id: 180448
{'charpoly_factorization': [[[126899100441, 15841147401, 9280898919, 590870484, 417935295, 23500206, 8737335, -121851, 77706, -978, 414, -12, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 89}
-
id: 180449
{'charpoly_factorization': [[[373532435929, -89426222187, 3086903058, 2239966411, -254241909, -1860363, 5346381, -1235493, 187821, -17282, 993, -39, 1], 1]], 'hecke_orbit_code': 4503874538831926, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '54.2.e.b', 'level': 54, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 85109000
{'hecke_orbit_code': 4503874538831926, 'n': 1, 'trace_an': 12}
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id: 85109001
{'hecke_orbit_code': 4503874538831926, 'n': 2, 'trace_an': 0}
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id: 85109002
{'hecke_orbit_code': 4503874538831926, 'n': 3, 'trace_an': 0}
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id: 85109003
{'hecke_orbit_code': 4503874538831926, 'n': 4, 'trace_an': 0}
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id: 85109004
{'hecke_orbit_code': 4503874538831926, 'n': 5, 'trace_an': -3}
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id: 85109005
{'hecke_orbit_code': 4503874538831926, 'n': 6, 'trace_an': 3}
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id: 85109006
{'hecke_orbit_code': 4503874538831926, 'n': 7, 'trace_an': -3}
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id: 85109007
{'hecke_orbit_code': 4503874538831926, 'n': 8, 'trace_an': -6}
-
id: 85109008
{'hecke_orbit_code': 4503874538831926, 'n': 9, 'trace_an': -12}
-
id: 85109009
{'hecke_orbit_code': 4503874538831926, 'n': 10, 'trace_an': -3}
-
id: 85109010
{'hecke_orbit_code': 4503874538831926, 'n': 11, 'trace_an': -12}
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id: 85109011
{'hecke_orbit_code': 4503874538831926, 'n': 12, 'trace_an': -3}
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id: 85109012
{'hecke_orbit_code': 4503874538831926, 'n': 13, 'trace_an': 12}
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id: 85109013
{'hecke_orbit_code': 4503874538831926, 'n': 14, 'trace_an': -3}
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id: 85109014
{'hecke_orbit_code': 4503874538831926, 'n': 15, 'trace_an': -18}
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id: 85109015
{'hecke_orbit_code': 4503874538831926, 'n': 16, 'trace_an': 0}
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id: 85109016
{'hecke_orbit_code': 4503874538831926, 'n': 17, 'trace_an': -6}
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id: 85109017
{'hecke_orbit_code': 4503874538831926, 'n': 18, 'trace_an': 6}
-
id: 85109018
{'hecke_orbit_code': 4503874538831926, 'n': 19, 'trace_an': -9}
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id: 85109019
{'hecke_orbit_code': 4503874538831926, 'n': 20, 'trace_an': 6}
-
id: 85109020
{'hecke_orbit_code': 4503874538831926, 'n': 21, 'trace_an': 24}
-
id: 85109021
{'hecke_orbit_code': 4503874538831926, 'n': 22, 'trace_an': -12}
-
id: 85109022
{'hecke_orbit_code': 4503874538831926, 'n': 23, 'trace_an': 30}
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id: 85109023
{'hecke_orbit_code': 4503874538831926, 'n': 24, 'trace_an': 0}
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id: 85109024
{'hecke_orbit_code': 4503874538831926, 'n': 25, 'trace_an': -9}
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id: 85109025
{'hecke_orbit_code': 4503874538831926, 'n': 26, 'trace_an': 18}
-
id: 85109026
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