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{'Nk2': 27648, 'analytic_conductor': 101.95530048991978, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1728, 1, [703, 325, 1217], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 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': [[5, [15, 1]], [7, [25, 1]], [11, [-15, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321851584, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1728.4.a.c', 'level': 1728, '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': '27.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-15q^{5}-5^{2}q^{7}+15q^{11}-20q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1728.4.a', 'trace_display': [0, 0, -15, -25], 'trace_hash': 483044361700621962, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.989', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1], [0], [0], [0], [-15], [0], [-25], [0], [0], [0], [15], [0], [-20], [0], [0], [0], [72], [0], [-2], [0], [0], [0], [114], [0], [100], [0], [0], [0], [-30], [0], [101], [0], [0], [0], [375], [0], [430], [0], [0], [0], [-30], [0], [-110], [0], [0], [0], [-330], [0], [282], [0], [0], [0], [-621], [0], [-225], [0], [0], [0], [660], [0], [376], [0], [0], [0], [300], [0], [250], [0], [0], [0], [-360], [0], [785], [0], [0], [0], [-375], [0], [488], [0], [0], [0], [-489], [0], [-1080], [0], [0], [0], [-450], [0], [500], [0], [0], [0], [30], [0], [-1105], [0], [0], [0]], 'ap': [[0], [0], [-15], [-25], [15], [-20], [72], [-2], [114], [-30], [101], [430], [-30], [-110], [-330], [-621], [660], [376], [250], [-360], [785], [488], [-489], [-450], [-1105], [-1425], [-1060], [-1485], [862], [690], [1865], [1155], [-2778], [1924], [-1455], [-727], [-3260], [-2540], [3498], [1149], [-315], [-1136], [2460], [965], [-2493], [-511], [2086], [5240], [-2388], [-182], [450], [5190], [-2266], [2880], [-4188], [-3030], [-3510], [2999], [7720], [-7440], [-830], [-546], [5560], [-8670], [4565], [-4233], [-542], [5690], [-5055], [-1622], [30], [-7470], [-1375], [4840], [-1892], [-10704], [-7815], [-4700], [-2100], [-10753], [-2940], [-8696], [8370], [-5155], [-10987], [-1956], [-8730], [-8665], [9825], [-5245], [11007], [16950], [10640], [-1635], [15802], [-7866], [11955], [19260], [18520], [-8372], [-17120], [-10575], [-10455], [-24540], [-24644], [-9610], [-4017], [594], [8790], [9371], [-14560], [18250], [19662], [-12044], [14879], [8850], [-18380], [3888], [6789], [-28335], [6082], [9965], [-8130], [-33516], [22084], [10395], [4804], [10980], [-25945], [-18650], [5128], [-32700], [21161], [-7130], [-3360], [33473], [3546], [31840], [15717], [10530], [26782], [-10110], [-12535], [-9792], [4534], [-8880], [-2270], [-19608], [952], [-17604], [-21890], [23940], [34990], [-22188], [-37370], [40710], [20981], [20100], [15635], [-23955], [36393], [43020], [-43585], [43335], [30390], [-59226], [8399], [-13340], [-37717], [14286], [-32475], [11266], [35790], [2810], [-13183], [-41790], [23974], [-6435], [19415], [-25544], [16985], [-9165], [-28910], [-38700], [-47244], [17925], [22570], [-43040], [3827], [24210], [-47950], [-47091], [-42986], [-38955], [29268], [17484], [79319], [-44390], [-31020], [-66060], [-17115], [-41767], [24280], [-28483], [-59715], [33930], [15284], [-23649], [-36510], [75472], [-26215], [-40110], [68555], [-18615], [-38280], [15041], [30800], [-67110], [-29358], [-92994], [-29342], [-63268], [-90840], [-76300], [-38373], [-78248], [62184], [-54990], [-12040], [84300], [2410], [-30728], [43112], [60540], [-60590], [102252], [-86002], [-107226], [1245], [-9180], [95460], [-80246], [-1465], [47032], [-14880], [13980], [101765], [35355], [32866], [-40644], [-99380], [109440], [-51762], [-39607], [-105969], [2835], [-67556], [85480], [-60093], [-28375], [-78865], [897], [104578], [-9560], [-17652], [64636], [-35190], [108750], [-71300], [-130290], [-87176], [-12800], [113645], [-10213], [23105], [-43495], [97023], [-30512], [48359], [-5700], [-119100], [51941], [-148758], [80134], [-140690], [-37710], [-137725], [-128895], [133328], [-8640], [-9570], [-82233], [-16140], [-4695], [39850], [39270], [116129], [115395], [-112005], [153790], [-78550], [96417], [-87289], [134391], [-1154], [-128545], [21300], [132442], [111480], [-111080], [27876], [-34605], [48090], [97180], [32328], [109082], [-89445], [-90300], [142130], [-52050], [-15284], [-7675], [77535], [-17845], [167016], [-134593], [113182], [133000], [-71880], [-2619], [-31538], [-12210], [-25999], [-24600], [-87752], [-55485], [19438], [39786], [46433], [89075], [193750], [-108672], [128415], [77384], [-45885], [-156780], [-195914], [-34670], [-48030], [-53982], [62512], [117155], [177510], [213545], [-7526], [140634], [-83370], [27045], [124170], [-2166], [-66800], [143760], [-107820], [28725], [-125930], [-64690], [-157782], [-168235], [-40687], [37455], [179548], [85254], [110715], [-231559], [-24140], [-110400], [-159570], [81515], [-30870], [49790], [189105], [232926], [-63880], [197112], [124396], [225630], [203204], [58300], [87910], [-129900], [-95551], [27654], [23220], [-148610], [-18780], [-9970], [10208], [145290], [-36794], [188085], [-221636], [-94770], [-212200], [-148440], [258975], [-21571], [-14690], [-98340], [-271100], [209265], [124175], [-239763], [204651], [-9884], [-48175], [-150525], [-288990], [-133000], [-303822], [25674], [-295590], [192670], [254892], [-65805], [193565], [189003], [19851], [140670], [222424], [153660]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199321851584, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1728.4.a.c', 'level': 1728, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
Hide schema
{'ALdims': [25, 23, 23, 25], 'Nk2': 27648, 'analytic_conductor': 101.95530048991978, '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': [1728, 1, [703, 325, 1217], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 828, 'dim': 96, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 67110592, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '1728.4.a', 'level': 1728, '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': 900, 'mf_new_dim': 96, 'num_forms': 58, 'plus_dim': 50, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 1152, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1488, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2400, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2832, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54816, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25968, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17328, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5472, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26064, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -27360, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -67248, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 57312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6024, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 75744, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -67416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 113136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -66792, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -90960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -225792, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9504, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -181752, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10656, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -179088, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -59352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -25008, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -133368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94752, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -140040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80088, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 138192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 27888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 57024, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 71544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 184512, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 57144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 103344, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 799350
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '27.4.a.a', 'target_level': 27, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 799351
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '27.4.a.b', 'target_level': 27, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 799352
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '81.4.c.a', 'target_level': 81, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 799353
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '81.4.c.c', 'target_level': 81, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 799354
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '432.4.a.a', 'target_level': 432, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 799355
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '432.4.a.n', 'target_level': 432, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 799356
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '675.4.a.a', 'target_level': 675, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 799357
{'conductor': 120, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '675.4.a.j', 'target_level': 675, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 799358
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '675.4.b.a', 'target_level': 675, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 799359
{'conductor': 120, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '675.4.b.b', 'target_level': 675, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 799360
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1323.4.a.d', 'target_level': 1323, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '168.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 799361
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1323.4.a.k', 'target_level': 1323, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 799362
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1728.4.a.c', 'target_level': 1728, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 799363
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1728.4.a.d', 'target_level': 1728, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 799364
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '1728.4.a.bc', 'target_level': 1728, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 799365
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '1728.4.a.c', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '1728.4.a.bd', 'target_level': 1728, 'twist_class_label': '27.4.a.a', 'twist_class_level': 27, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2163600
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 2}
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id: 2163601
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 3}
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id: 2163602
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 5}
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id: 2163603
{'charpoly_factorization': [[[25, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 7}
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id: 2163604
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 11}
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id: 2163605
{'charpoly_factorization': [[[20, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 13}
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id: 2163606
{'charpoly_factorization': [[[-72, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 17}
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id: 2163607
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 19}
-
id: 2163608
{'charpoly_factorization': [[[-114, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 23}
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id: 2163609
{'charpoly_factorization': [[[30, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 29}
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id: 2163610
{'charpoly_factorization': [[[-101, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 31}
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id: 2163611
{'charpoly_factorization': [[[-430, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 37}
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id: 2163612
{'charpoly_factorization': [[[30, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 41}
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id: 2163613
{'charpoly_factorization': [[[110, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 43}
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id: 2163614
{'charpoly_factorization': [[[330, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 47}
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id: 2163615
{'charpoly_factorization': [[[621, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 53}
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id: 2163616
{'charpoly_factorization': [[[-660, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 59}
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id: 2163617
{'charpoly_factorization': [[[-376, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 61}
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id: 2163618
{'charpoly_factorization': [[[-250, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 67}
-
id: 2163619
{'charpoly_factorization': [[[360, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 71}
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id: 2163620
{'charpoly_factorization': [[[-785, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 73}
-
id: 2163621
{'charpoly_factorization': [[[-488, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 79}
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id: 2163622
{'charpoly_factorization': [[[489, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 83}
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id: 2163623
{'charpoly_factorization': [[[450, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 89}
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id: 2163624
{'charpoly_factorization': [[[1105, 1], 1]], 'hecke_orbit_code': 9007199321851584, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '1728.4.a.c', 'level': 1728, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 28669453
{'hecke_orbit_code': 9007199321851584, 'n': 1, 'trace_an': 1}
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id: 28669454
{'hecke_orbit_code': 9007199321851584, 'n': 2, 'trace_an': 0}
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id: 28669455
{'hecke_orbit_code': 9007199321851584, 'n': 3, 'trace_an': 0}
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id: 28669456
{'hecke_orbit_code': 9007199321851584, 'n': 4, 'trace_an': 0}
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id: 28669457
{'hecke_orbit_code': 9007199321851584, 'n': 5, 'trace_an': -15}
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