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mf_newforms • Show schema
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{'Nk2': 12960, 'analytic_conductor': 47.7915471046499, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [810, 3, [731, 487], [1, 3]], 'cm_discs': [], 'conrey_index': 271, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [16, -4, 1]], [11, [144, -12, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079466747167530, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '810.4.e.w', 'level': 810, 'level_is_powerful': False, '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, 5], 'level_radical': 30, 'minimal_twist': '10.4.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(2-2\\zeta_{6})q^{2}-4\\zeta_{6}q^{4}+5\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '810.4.e', 'trace_display': [2, 0, 5, 4], 'trace_hash': 151955672707189443, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.947', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.050', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.151', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [2, -2], [0, 0], [0, -4], [0, 5], [0, 0], [4, -4], [-8, 0], [0, 0], [10, 0], [12, -12], [0, 0], [0, 58], [0, -8], [0, 0], [-16, 16], [-66, 0], [0, 0], [-100, 0], [20, -20], [0, 0], [0, -24], [0, 132], [0, 0], [-25, 25], [116, 0], [0, 0], [-16, 0], [-90, 90], [0, 0], [0, -152], [0, 32], [0, 0], [-132, 132], [20, 0], [0, 0], [-34, 0], [-200, 200], [0, 0], [0, -40], [0, -438], [0, 0], [-32, 32], [-48, 0], [0, 0], [264, 0], [-204, 204], [0, 0], [0, 327], [0, 50], [0, 0], [232, -232], [-222, 0], [0, 0], [60, 0], [-32, 32], [0, 0], [0, 180], [0, 420], [0, 0], [-902, 902], [-304, 0], [0, 0], [64, 0], [-290, 290], [0, 0], [0, 1024], [0, 264], [0, 0], [40, -40], [-432, 0], [0, 0], [362, 0], [-68, 68], [0, 0], [0, 400], [0, -48], [0, 0], [160, -160], [-80, 0], [0, 0], [-876, 0], [72, -72], [0, 0], [0, -330], [0, 64], [0, 0], [-96, 96], [-810, 0], [0, 0], [232, 0], [528, -528], [0, 0], [0, 408], [0, -500], [0, 0], [-1106, 1106], [654, 0], [0, 0], [100, 0]], 'ap': [[2, -2], [0, 0], [0, 5], [4, -4], [12, -12], [0, 58], [-66, 0], [-100, 0], [0, 132], [-90, 90], [0, -152], [-34, 0], [0, -438], [-32, 32], [-204, 204], [-222, 0], [0, 420], [-902, 902], [0, 1024], [-432, 0], [362, 0], [160, -160], [72, -72], [-810, 0], [-1106, 1106], [-258, 258], [0, 988], [24, 0], [950, 0], [0, -1038], [-124, 0], [0, 132], [-1254, 1254], [0, 2860], [0, 750], [448, -448], [0, -2246], [-568, 0], [0, -1524], [3702, -3702], [-3180, 0], [-2098, 0], [4392, -4392], [0, 2158], [1074, 0], [2840, 0], [0, 2668], [-1772, 1772], [-2784, 2784], [0, -350], [-1962, 0], [0, -4320], [478, -478], [-2652, 0], [0, -2334], [-3948, 3948], [-1590, 0], [4952, 0], [-1646, 1646], [-1158, 1158], [0, -6992], [0, -258], [-8944, 0], [0, 1392], [5878, -5878], [10326, -10326], [4228, -4228], [0, -1106], [0, 9336], [11770, -11770], [8322, -8322], [-10680, 0], [5884, -5884], [0, 2098], [3860, 0], [0, -9588], [-13410, 13410], [-13114, 0], [0, -5838], [0, -9530], [0, 7260], [-12062, 12062], [13608, 0], [-3838, 0], [-7400, 7400], [8352, -8352], [-10770, 0], [6694, -6694], [-3018, 3018], [0, -14492], [-7776, 0], [-13680, 13680], [7916, 0], [0, 13932], [0, 8260], [11148, 0], [0, -9690], [16038, 0], [992, 0], [7142, 0], [-7616, 7616], [10314, 0], [0, -7128], [2010, -2010], [0, 23188], [22466, 0], [22776, -22776], [21198, 0], [0, 15960], [-5882, 5882], [0, -8516], [8462, 0], [0, -11094], [-2180, 2180], [-26848, 0], [26322, -26322], [0, 10168], [23604, 0], [0, 16422], [-26100, 26100], [0, 3058], [-10802, 10802], [-10674, 10674], [28608, 0], [2428, -2428], [6618, 0], [-20510, 20510], [-31680, 0], [-13196, 13196], [0, -8102], [-12580, 0], [0, 29892], [0, 40408], [32366, 0], [0, -17238], [0, -10850], [-9102, 0], [0, 25504], [0, 14166], [-33210, 0], [39212, 0], [6222, -6222], [0, -31172], [264, 0], [-29050, 0], [-21720, 21720], [6658, -6658], [-13974, 13974], [0, -23780], [12228, 0], [0, -11606], [32958, 0], [8072, 0], [0, 15756], [-18776, 18776], [-20568, 20568], [-6280, 0], [-20430, 20430], [8906, 0], [0, -17418], [-2544, 2544], [-15402, 0], [0, 49444], [25188, 0], [0, 2946], [15012, -15012], [-5128, 0], [49714, -49714]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 99079466747167530, 'hecke_ring_character_values': [[731, [0, -1]], [487, [1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '810.4.e.w', 'level': 810, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 12960, 'analytic_conductor': 47.7915471046499, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [810, 3, [731, 487], [1, 3]], 'conrey_index': 271, 'cusp_dim': 924, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 274945016618, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], 'label': '810.4.e', 'level': 810, 'level_is_powerful': False, '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, 5], 'level_radical': 30, 'mf_dim': 1020, 'mf_new_dim': 96, 'num_forms': 34, 'prim_orbit_index': 3, 'relative_dim': 48, 'sturm_bound': 648, 'trace_bound': 11, 'trace_display': [0, 0, 0, 120], 'traces': [96, 0, 0, -192, 0, 0, 120, 0, 0, 0, 0, 0, -240, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 513862
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '10.4.a.a', 'target_level': 10, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 513863
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '50.4.a.c', 'target_level': 50, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 513864
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '50.4.b.a', 'target_level': 50, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 513865
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '80.4.a.f', 'target_level': 80, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 513866
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '90.4.a.a', 'target_level': 90, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 513867
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '320.4.a.b', 'target_level': 320, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 513868
{'conductor': 72, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '320.4.a.m', 'target_level': 320, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 513869
{'conductor': 180, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '400.4.a.b', 'target_level': 400, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '180.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 513870
{'conductor': 180, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '400.4.c.c', 'target_level': 400, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '180.v', 'twisting_char_orbit': 22, 'weight': 4}
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id: 513871
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '450.4.a.q', 'target_level': 450, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 513872
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '450.4.c.d', 'target_level': 450, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 513873
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '490.4.a.o', 'target_level': 490, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 4}
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id: 513874
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '490.4.e.a', 'target_level': 490, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 513875
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '490.4.e.a', 'target_level': 490, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 4}
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id: 513876
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '490.4.e.i', 'target_level': 490, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 513877
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '490.4.e.i', 'target_level': 490, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 513878
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '720.4.a.j', 'target_level': 720, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 513879
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '810.4.e.c', 'target_level': 810, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 513880
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '810.4.e.c', 'target_level': 810, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 513881
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '810.4.e.w', 'target_level': 810, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 513882
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '810.4.e.w', 'target_level': 810, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 513883
{'conductor': 99, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1210.4.a.b', 'target_level': 1210, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '99.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 513884
{'conductor': 144, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1280.4.d.g', 'target_level': 1280, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '144.u', 'twisting_char_orbit': 21, 'weight': 4}
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id: 513885
{'conductor': 144, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1280.4.d.j', 'target_level': 1280, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '144.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 513886
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1600.4.a.d', 'target_level': 1600, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '360.bh', 'twisting_char_orbit': 34, 'weight': 4}
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id: 513887
{'conductor': 360, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '1600.4.a.bx', 'target_level': 1600, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '360.bd', 'twisting_char_orbit': 30, 'weight': 4}
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id: 513888
{'conductor': 117, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1690.4.a.a', 'target_level': 1690, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '117.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 513889
{'conductor': 315, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '810.4.e.w', 'source_level': 810, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2450.4.a.b', 'target_level': 2450, 'twist_class_label': '10.4.a.a', 'twist_class_level': 10, 'twisting_char_label': '315.z', 'twisting_char_orbit': 26, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1358300
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 2}
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id: 1358301
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 99079466747167530, 'p': 3}
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id: 1358302
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 5}
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id: 1358303
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 7}
-
id: 1358304
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 11}
-
id: 1358305
{'charpoly_factorization': [[[3364, -58, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 13}
-
id: 1358306
{'charpoly_factorization': [[[66, 1], 2]], 'hecke_orbit_code': 99079466747167530, 'p': 17}
-
id: 1358307
{'charpoly_factorization': [[[100, 1], 2]], 'hecke_orbit_code': 99079466747167530, 'p': 19}
-
id: 1358308
{'charpoly_factorization': [[[17424, -132, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 23}
-
id: 1358309
{'charpoly_factorization': [[[8100, 90, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 29}
-
id: 1358310
{'charpoly_factorization': [[[23104, 152, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 31}
-
id: 1358311
{'charpoly_factorization': [[[34, 1], 2]], 'hecke_orbit_code': 99079466747167530, 'p': 37}
-
id: 1358312
{'charpoly_factorization': [[[191844, 438, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 41}
-
id: 1358313
{'charpoly_factorization': [[[1024, 32, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 43}
-
id: 1358314
{'charpoly_factorization': [[[41616, 204, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 47}
-
id: 1358315
{'charpoly_factorization': [[[222, 1], 2]], 'hecke_orbit_code': 99079466747167530, 'p': 53}
-
id: 1358316
{'charpoly_factorization': [[[176400, -420, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 59}
-
id: 1358317
{'charpoly_factorization': [[[813604, 902, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 61}
-
id: 1358318
{'charpoly_factorization': [[[1048576, -1024, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 67}
-
id: 1358319
{'charpoly_factorization': [[[432, 1], 2]], 'hecke_orbit_code': 99079466747167530, 'p': 71}
-
id: 1358320
{'charpoly_factorization': [[[-362, 1], 2]], 'hecke_orbit_code': 99079466747167530, 'p': 73}
-
id: 1358321
{'charpoly_factorization': [[[25600, -160, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 79}
-
id: 1358322
{'charpoly_factorization': [[[5184, -72, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 83}
-
id: 1358323
{'charpoly_factorization': [[[810, 1], 2]], 'hecke_orbit_code': 99079466747167530, 'p': 89}
-
id: 1358324
{'charpoly_factorization': [[[1223236, 1106, 1], 1]], 'hecke_orbit_code': 99079466747167530, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 23, 'label': '810.4.e.w', 'level': 810, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 65808295
{'hecke_orbit_code': 99079466747167530, 'n': 1, 'trace_an': 2}
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id: 65808296
{'hecke_orbit_code': 99079466747167530, 'n': 2, 'trace_an': 2}
-
id: 65808297
{'hecke_orbit_code': 99079466747167530, 'n': 3, 'trace_an': 0}
-
id: 65808298
{'hecke_orbit_code': 99079466747167530, 'n': 4, 'trace_an': -4}
-
id: 65808299
{'hecke_orbit_code': 99079466747167530, 'n': 5, 'trace_an': 5}
-
id: 65808300
{'hecke_orbit_code': 99079466747167530, 'n': 6, 'trace_an': 0}
-
id: 65808301
{'hecke_orbit_code': 99079466747167530, 'n': 7, 'trace_an': 4}
-
id: 65808302
{'hecke_orbit_code': 99079466747167530, 'n': 8, 'trace_an': -16}
-
id: 65808303
{'hecke_orbit_code': 99079466747167530, 'n': 9, 'trace_an': 0}
-
id: 65808304
{'hecke_orbit_code': 99079466747167530, 'n': 10, 'trace_an': 20}
-
id: 65808305
{'hecke_orbit_code': 99079466747167530, 'n': 11, 'trace_an': 12}
-
id: 65808306
{'hecke_orbit_code': 99079466747167530, 'n': 12, 'trace_an': 0}
-
id: 65808307
{'hecke_orbit_code': 99079466747167530, 'n': 13, 'trace_an': 58}
-
id: 65808308
{'hecke_orbit_code': 99079466747167530, 'n': 14, 'trace_an': -8}
-
id: 65808309
{'hecke_orbit_code': 99079466747167530, 'n': 15, 'trace_an': 0}
-
id: 65808310
{'hecke_orbit_code': 99079466747167530, 'n': 16, 'trace_an': -16}
-
id: 65808311
{'hecke_orbit_code': 99079466747167530, 'n': 17, 'trace_an': -132}
-
id: 65808312
{'hecke_orbit_code': 99079466747167530, 'n': 18, 'trace_an': 0}
-
id: 65808313
{'hecke_orbit_code': 99079466747167530, 'n': 19, 'trace_an': -200}
-
id: 65808314
{'hecke_orbit_code': 99079466747167530, 'n': 20, 'trace_an': 20}
-
id: 65808315
{'hecke_orbit_code': 99079466747167530, 'n': 21, 'trace_an': 0}
-
id: 65808316
{'hecke_orbit_code': 99079466747167530, 'n': 22, 'trace_an': -24}
-
id: 65808317
{'hecke_orbit_code': 99079466747167530, 'n': 23, 'trace_an': 132}
-
id: 65808318
{'hecke_orbit_code': 99079466747167530, 'n': 24, 'trace_an': 0}
-
id: 65808319
{'hecke_orbit_code': 99079466747167530, 'n': 25, 'trace_an': -25}
-
id: 65808320
{'hecke_orbit_code': 99079466747167530, 'n': 26, 'trace_an': 232}
-
id: 65808321
{'hecke_orbit_code': 99079466747167530, 'n': 27, 'trace_an': 0}
-
id: 65808322
{'hecke_orbit_code': 99079466747167530, 'n': 28, 'trace_an': -32}
-
id: 65808323
{'hecke_orbit_code': 99079466747167530, 'n': 29, 'trace_an': -90}
-
id: 65808324
{'hecke_orbit_code': 99079466747167530, 'n': 30, 'trace_an': 0}
-
id: 65808325
{'hecke_orbit_code': 99079466747167530, 'n': 31, 'trace_an': -152}
-
id: 65808326
{'hecke_orbit_code': 99079466747167530, 'n': 32, 'trace_an': 32}
-
id: 65808327
{'hecke_orbit_code': 99079466747167530, 'n': 33, 'trace_an': 0}
-
id: 65808328
{'hecke_orbit_code': 99079466747167530, 'n': 34, 'trace_an': -132}
-
id: 65808329
{'hecke_orbit_code': 99079466747167530, 'n': 35, 'trace_an': 40}
-
id: 65808330
{'hecke_orbit_code': 99079466747167530, 'n': 36, 'trace_an': 0}
-
id: 65808331
{'hecke_orbit_code': 99079466747167530, 'n': 37, 'trace_an': -68}
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