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{'Nk2': 16128, 'analytic_conductor': 59.47392528578654, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 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': [1008, 1, [127, 757, 785, 577], [1, 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, [-18, 1]], [11, [36, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592241890288, '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': '1008.4.a.v', 'level': 1008, '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, 7], 'level_radical': 42, 'minimal_twist': '21.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+18q^{5}-7q^{7}-6^{2}q^{11}-34q^{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': '1008.4.a', 'trace_display': [0, 0, 18, -7], 'trace_hash': 257573090462470539, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [18], [0], [-7], [0], [0], [0], [-36], [0], [-34], [0], [0], [0], [-42], [0], [124], [0], [0], [0], [0], [0], [199], [0], [0], [0], [-102], [0], [160], [0], [0], [0], [-126], [0], [398], [0], [0], [0], [318], [0], [268], [0], [0], [0], [240], [0], [49], [0], [0], [0], [498], [0], [-648], [0], [0], [0], [-132], [0], [398], [0], [0], [0], [-612], [0], [-92], [0], [0], [0], [-720], [0], [-502], [0], [0], [0], [252], [0], [1024], [0], [0], [0], [-204], [0], [-756], [0], [0], [0], [-354], [0], [238], [0], [0], [0], [2232], [0], [-286], [0], [0], [0]], 'ap': [[0], [0], [18], [-7], [-36], [-34], [-42], [124], [0], [-102], [160], [398], [318], [268], [240], [498], [-132], [398], [-92], [-720], [-502], [1024], [-204], [-354], [-286], [-414], [-56], [12], [1478], [-402], [-1280], [1764], [2358], [52], [1746], [232], [1694], [2932], [1176], [-870], [-2316], [-106], [-1128], [4034], [1314], [-5096], [3076], [1888], [-4716], [-1690], [-138], [1896], [-3598], [-3060], [6822], [2592], [-8214], [5344], [-6514], [-6618], [-3260], [-5118], [-452], [5016], [5402], [-10086], [8044], [4178], [156], [-12418], [7830], [-9312], [3760], [5870], [1852], [2160], [6786], [-6514], [-3330], [-5398], [13092], [-322], [2616], [4322], [9016], [-5268], [5310], [15770], [5370], [3328], [4548], [-8064], [-16616], [-7140], [9124], [-6552], [-2790], [14862], [-17660], [-19834], [-20972], [-21174], [-17772], [-8250], [-20756], [2], [26364], [-2298], [3072], [24554], [-16832], [-2482], [15798], [15460], [7720], [17262], [12220], [13560], [-23094], [22548], [17462], [-22462], [25554], [9276], [-27380], [-25830], [-6226], [-15072], [32920], [-6946], [2356], [-23520], [-3008], [-20770], [-11538], [8498], [32322], [-26228], [43338], [28902], [-27164], [17202], [5992], [25884], [-1474], [33528], [1190], [-34578], [44404], [-38328], [-38842], [35046], [-14204], [-26136], [9052], [5016], [-44552], [-24234], [-13894], [-46758], [13812], [58518], [-19640], [-58308], [23550], [15768], [-35264], [-29338], [-18286], [64098], [13212], [-33730], [29520], [17786], [34432], [-978], [32092], [-14334], [-20072], [7454], [-55136], [22260], [-33874], [10878], [-49272], [-4734], [-2266], [-3908], [43130], [-3792], [46802], [8940], [17188], [-71286], [25044], [14334], [2450], [52310], [6918], [-312], [-42294], [1888], [10118], [-19726], [-49284], [2874], [-2288], [-30492], [-39738], [-39548], [24914], [24258], [59272], [-70356], [-55320], [-5110], [79792], [-20682], [76944], [-33990], [-22642], [34792], [-6498], [-15104], [40020], [-35170], [-104802], [-76008], [-3944], [-108372], [-23578], [45484], [-64064], [23910], [-83468], [8784], [46802], [-43086], [-21396], [-56232], [-85500], [-30764], [-11576], [25814], [-8682], [93480], [-67664], [-61260], [-92900], [21528], [47558], [-51402], [84432], [27722], [-5814], [-81564], [-97090], [58804], [74754], [-54502], [-25184], [10164], [99830], [-99538], [105126], [81772], [124074], [-14898], [-22916], [54690], [31790], [-26444], [84890], [115504], [109154], [130408], [78156], [22790], [-21670], [-15132], [-32928], [-105896], [24600], [77510], [143908], [-81384], [-11086], [-92238], [81016], [-23706], [-55638], [14676], [28998], [136140], [-28330], [65994], [160], [7602], [47532], [-28244], [-106198], [-65046], [-156800], [35700], [-99380], [-98782], [77004], [-61810], [12240], [52958], [28464], [121170], [140142], [-51356], [68832], [-148246], [-115548], [-125304], [140402], [-105954], [27628], [5546], [-108486], [93472], [-42714], [189074], [11284], [-143228], [145608], [-702], [-41290], [-57990], [15712], [-43164], [132460], [-166500], [145334], [179622], [-147670], [-81488], [31502], [174246], [-121470], [-81272], [-76902], [177732], [-189754], [84076], [-28752], [158802], [65788], [141338], [2442], [50848], [27758], [97326], [42480], [48732], [-25362], [52464], [-137122], [33582], [110328], [223836], [177244], [-4102], [-30486], [45160], [49610], [-2268], [217924], [185544], [143250], [-59096], [-212506], [-122892], [-92520], [-7486], [-71850], [-14902], [37962], [68358], [27160], [226494], [-243380], [-29064], [-53552], [-30490], [143548], [220416], [-94174], [-18798], [-107796], [49804], [43440], [-59254], [-64784], [-40242], [168748], [-242958], [-23506], [-43842], [37600], [-168786], [-137310], [-188552], [110486], [-157170], [-67268], [-227964], [129170], [-13038], [197244], [-275852], [112538], [-98166], [44904], [44584], [-41130], [7704], [245754], [19910], [-48696], [-119460], [-183382], [-141654], [130596], [-23994], [157156], [81864]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 94575592241890288, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1008.4.a.v', 'level': 1008, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [4, 4, 7, 7, 4, 6, 7, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [68, 62, 59, 65, 66, 62, 61, 64], 'Nk2': 16128, 'analytic_conductor': 59.47392528578654, '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': [1008, 1, [127, 757, 785, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 552, 'dim': 45, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 67109872, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '1008.4.a', 'level': 1008, '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, 7], 'level_radical': 42, 'mf_dim': 600, 'mf_new_dim': 45, 'num_forms': 34, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 45, 'sturm_bound': 768, 'trace_bound': 13, 'trace_display': [0, 0, 2, 7], 'traces': [45, 0, 0, 0, 2, 0, 7, 0, 0, 0, 56, 0, -46, 0, 0, 0, 50, 0, -24, 0, 0, 0, -220, 0, 1147, 0, 0, 0, -242, 0, 264, 0, 0, 0, 210, 0, 62, 0, 0, 0, 138, 0, -892, 0, 0, 0, -1536, 0, 2205, 0, 0, 0, -98, 0, 1080, 0, 0, 0, 1080, 0, 834, 0, 0, 0, -580, 0, -228, 0, 0, 0, -2900, 0, 458, 0, 0, 0, 476, 0, 3016, 0, 0, 0, 1112, 0, -1588, 0, 0, 0, 1730, 0, -546, 0, 0, 0, -1848, 0, 906, 0, 0, 0, 2530, 0, -192, 0, 0, 0, 3648, 0, 126, 0, 0, 0, -782, 0, -3520, 0, 0, 0, -1190, 0, 1993, 0, 0, 0, -2604, 0, 3880, 0, 0, 0, 4216, 0, 504, 0, 0, 0, 3442, 0, 7944, 0, 0, 0, 2368, 0, 788, 0, 0, 0, 2030, 0, -3320, 0, 0, 0, 3552, 0, 5210, 0, 0, 0, 280, 0, 2276, 0, 0, 0, 8776, 0, 5339, 0, 0, 0, -4046, 0, 1225, 0, 0, 0, -2912, 0, -3686, 0, 0, 0, 10444, 0, -1256, 0, 0, 0, 276, 0, -670, 0, 0, 0, 5358, 0, 1344, 0, 0, 0, 1274, 0, 1916, 0, 0, 0, -7600, 0, 13124, 0, 0, 0, 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mf_twists_nf • Show schema
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id: 618184
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '21.4.a.a', 'target_level': 21, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 618185
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '63.4.a.c', 'target_level': 63, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 618186
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '147.4.a.c', 'target_level': 147, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 618187
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '147.4.e.g', 'target_level': 147, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 618188
{'conductor': 84, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '147.4.e.i', 'target_level': 147, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 618189
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '336.4.a.f', 'target_level': 336, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 618190
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '441.4.a.j', 'target_level': 441, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 618191
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '441.4.e.b', 'target_level': 441, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 618192
{'conductor': 28, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.4.e.d', 'target_level': 441, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 618193
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '525.4.a.g', 'target_level': 525, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 618194
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '525.4.d.c', 'target_level': 525, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 618195
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1008.4.a.v', 'target_level': 1008, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 618196
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1344.4.a.n', 'target_level': 1344, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 618197
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '1344.4.a.ba', 'target_level': 1344, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 618198
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1575.4.a.b', 'target_level': 1575, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 618199
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '1008.4.a.v', 'source_level': 1008, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '2352.4.a.r', 'target_level': 2352, 'twist_class_label': '21.4.a.a', 'twist_class_level': 21, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1316075
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 2}
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id: 1316076
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 3}
-
id: 1316077
{'charpoly_factorization': [[[-18, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 5}
-
id: 1316078
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 7}
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id: 1316079
{'charpoly_factorization': [[[36, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 11}
-
id: 1316080
{'charpoly_factorization': [[[34, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 13}
-
id: 1316081
{'charpoly_factorization': [[[42, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 17}
-
id: 1316082
{'charpoly_factorization': [[[-124, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 19}
-
id: 1316083
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 23}
-
id: 1316084
{'charpoly_factorization': [[[102, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 29}
-
id: 1316085
{'charpoly_factorization': [[[-160, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 31}
-
id: 1316086
{'charpoly_factorization': [[[-398, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 37}
-
id: 1316087
{'charpoly_factorization': [[[-318, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 41}
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id: 1316088
{'charpoly_factorization': [[[-268, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 43}
-
id: 1316089
{'charpoly_factorization': [[[-240, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 47}
-
id: 1316090
{'charpoly_factorization': [[[-498, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 53}
-
id: 1316091
{'charpoly_factorization': [[[132, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 59}
-
id: 1316092
{'charpoly_factorization': [[[-398, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 61}
-
id: 1316093
{'charpoly_factorization': [[[92, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 67}
-
id: 1316094
{'charpoly_factorization': [[[720, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 71}
-
id: 1316095
{'charpoly_factorization': [[[502, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 73}
-
id: 1316096
{'charpoly_factorization': [[[-1024, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 79}
-
id: 1316097
{'charpoly_factorization': [[[204, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 83}
-
id: 1316098
{'charpoly_factorization': [[[354, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 89}
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id: 1316099
{'charpoly_factorization': [[[286, 1], 1]], 'hecke_orbit_code': 94575592241890288, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '1008.4.a.v', 'level': 1008, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 65233471
{'hecke_orbit_code': 94575592241890288, 'n': 1, 'trace_an': 1}
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id: 65233472
{'hecke_orbit_code': 94575592241890288, 'n': 2, 'trace_an': 0}
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id: 65233473
{'hecke_orbit_code': 94575592241890288, 'n': 3, 'trace_an': 0}
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id: 65233474
{'hecke_orbit_code': 94575592241890288, 'n': 4, 'trace_an': 0}
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id: 65233475
{'hecke_orbit_code': 94575592241890288, 'n': 5, 'trace_an': 18}
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id: 65233476
{'hecke_orbit_code': 94575592241890288, 'n': 6, 'trace_an': 0}
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id: 65233477
{'hecke_orbit_code': 94575592241890288, 'n': 7, 'trace_an': -7}
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id: 65233478
{'hecke_orbit_code': 94575592241890288, 'n': 8, 'trace_an': 0}
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id: 65233479
{'hecke_orbit_code': 94575592241890288, 'n': 9, 'trace_an': 0}
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