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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, [-3, 1]], [7, [-29, 1]], [11, [57, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592241891008, '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.v', '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': '54.4.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+3q^{5}+29q^{7}-57q^{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, 3, 29], 'trace_hash': 2000324512609006972, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.984', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.930', 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1], [0], [0], [0], [3], [0], [29], [0], [0], [0], [-57], [0], [-20], [0], [0], [0], [72], [0], [106], [0], [0], [0], [-174], [0], [-116], [0], [0], [0], [-210], [0], [47], [0], [0], [0], [87], [0], [-2], [0], [0], [0], [6], [0], [-218], [0], [0], [0], [-474], [0], [498], [0], [0], [0], [81], [0], [-171], [0], [0], [0], [84], [0], [-56], [0], [0], [0], [-60], [0], [142], [0], [0], [0], [-360], [0], [-1159], [0], [0], [0], [-1653], [0], [-160], [0], [0], [0], [735], [0], [216], [0], [0], [0], [954], [0], [-580], [0], [0], [0], [318], [0], [191], [0], [0], [0]], 'ap': [[0], [0], [3], [29], [-57], [-20], [72], [106], [-174], [-210], [47], [-2], [6], [-218], [-474], [81], [84], [-56], [142], [-360], [-1159], [-160], [735], [954], [191], [-363], [-628], [675], [-1730], [-1866], [1379], [579], [-654], [3004], [1803], [2459], [196], [1564], [-1974], [-2217], [-2475], [-1568], [-1140], [2045], [-3735], [1163], [-2126], [-2752], [-3972], [-4502], [-4842], [5334], [-3994], [-1008], [924], [-1014], [-2970], [245], [-4376], [-240], [6838], [-5118], [5560], [-7662], [3485], [-7059], [-9290], [-3814], [1929], [6586], [6042], [3762], [-7261], [-1640], [7396], [4992], [-9453], [-8588], [1716], [-9889], [5556], [2104], [-7614], [7805], [-5209], [4236], [16002], [7319], [9483], [10793], [2583], [1254], [17336], [-15171], [-8930], [-15210], [19641], [-22428], [8152], [2860], [9664], [14859], [8193], [16572], [6244], [-14794], [-26769], [3078], [-1002], [-20653], [27128], [-24518], [474], [1132], [6725], [21126], [-19460], [11664], [-3345], [9393], [1762], [25517], [26898], [23940], [-23060], [-14175], [8692], [29556], [-36691], [19798], [21976], [13236], [-6325], [3238], [40416], [-4759], [27414], [-6176], [6879], [16902], [-24086], [7854], [5771], [-17568], [-31322], [-41856], [-15662], [39864], [9160], [-5076], [-14978], [22860], [32506], [-35868], [33586], [28902], [28271], [-19140], [31619], [-20913], [17529], [53604], [11117], [-27297], [-25086], [20982], [11477], [-8588], [21899], [-22686], [-56091], [-55262], [-39234], [-58534], [-50605], [-39162], [-45470], [-32409], [677], [24568], [33563], [16251], [-57854], [16812], [28500], [52791], [36826], [-46496], [-69397], [48834], [-23758], [24765], [-7454], [37599], [59508], [-11100], [67007], [-23654], [-36564], [69156], [-4569], [-3373], [30760], [8885], [-67707], [-27738], [44660], [61527], [-86010], [-61472], [-29023], [44526], [7265], [23001], [44808], [46577], [-18664], [83838], [-91998], [30738], [79522], [69356], [-32376], [-50380], [28227], [73384], [-106872], [-42030], [-80512], [-11892], [78010], [21112], [-1168], [6036], [51622], [4908], [20270], [-22230], [-67371], [13284], [51540], [65230], [11117], [-43688], [-480], [-14244], [-27457], [35211], [-45002], [32364], [32380], [57168], [-34770], [24329], [-52851], [34371], [-116804], [-108056], [-43839], [26057], [58349], [60657], [119698], [45736], [-103260], [51892], [93654], [-10950], [-109964], [-118014], [36376], [-2864], [22061], [21161], [5393], [37667], [-20409], [83104], [120287], [1788], [-62364], [130295], [116346], [-90074], [-14438], [35730], [-77893], [86259], [44984], [-78624], [51378], [-1449], [-67620], [89337], [-126470], [93450], [71579], [-114447], [139203], [99034], [-57814], [-121149], [-93283], [-58857], [57274], [-42361], [29220], [-149222], [79224], [-12152], [-94524], [69129], [81534], [-161372], [76824], [77978], [-40485], [-116940], [-120526], [30714], [100276], [-117187], [102645], [-125575], [117192], [-42145], [-68582], [-111080], [49800], [27567], [-44930], [-183966], [-54133], [4488], [-169400], [-121365], [-42770], [184110], [-133927], [70121], [-126362], [-59568], [51861], [81488], [116097], [56196], [2374], [59830], [153138], [-148914], [-75728], [-45277], [126714], [114995], [216250], [73134], [-149322], [224901], [22254], [-163878], [117232], [178176], [77940], [130173], [-61022], [-115666], [-20154], [-92689], [-20383], [149271], [-179228], [-5322], [-191919], [-87541], [118852], [-166704], [-133650], [-93877], [163854], [-10690], [151827], [-36822], [204176], [204744], [-35660], [14382], [-156652], [-87716], [21922], [-255036], [130385], [-212502], [177876], [124954], [-254364], [162830], [-250504], [-221730], [11698], [-173697], [15100], [149418], [-15424], [222360], [-178803], [-187945], [100654], [-46860], [28492], [-116535], [-253177], [57975], [-65565], [-242948], [200873], [295569], [-254430], [211088], [-144090], [46122], [249414], [-193538], [81084], [-88629], [173477], [-143727], [-45885], [-182358], [94120], [-5460]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 94575592241891008, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1728.4.a.v', 'level': 1728, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [25, 23, 23, 25], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [18, 18, 18, 18], 'ALdims_old': [185, 181, 181, 185], '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: 799572
{'conductor': 8, '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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '54.4.a.b', 'target_level': 54, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 799573
{'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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '54.4.a.c', 'target_level': 54, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 799574
{'conductor': 72, '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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '162.4.c.b', 'target_level': 162, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 799575
{'conductor': 72, '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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '162.4.c.g', 'target_level': 162, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 799576
{'conductor': 8, '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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '432.4.a.e', 'target_level': 432, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 799577
{'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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '432.4.a.j', 'target_level': 432, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 799578
{'conductor': 120, '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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1350.4.a.a', 'target_level': 1350, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '120.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 799579
{'conductor': 40, '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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1350.4.a.o', 'target_level': 1350, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 799580
{'conductor': 120, '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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1350.4.c.b', 'target_level': 1350, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '120.w', 'twisting_char_orbit': 23, 'weight': 4}
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id: 799581
{'conductor': 40, '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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '1350.4.c.s', 'target_level': 1350, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 799582
{'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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1728.4.a.k', 'target_level': 1728, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 799583
{'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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1728.4.a.l', 'target_level': 1728, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 799584
{'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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1728.4.a.u', 'target_level': 1728, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 799585
{'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': '1728.4.a.v', 'source_level': 1728, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '1728.4.a.v', 'target_level': 1728, 'twist_class_label': '54.4.a.b', 'twist_class_level': 54, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2162750
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 2}
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id: 2162751
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 3}
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id: 2162752
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 5}
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id: 2162753
{'charpoly_factorization': [[[-29, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 7}
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id: 2162754
{'charpoly_factorization': [[[57, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 11}
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id: 2162755
{'charpoly_factorization': [[[20, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 13}
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id: 2162756
{'charpoly_factorization': [[[-72, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 17}
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id: 2162757
{'charpoly_factorization': [[[-106, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 19}
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id: 2162758
{'charpoly_factorization': [[[174, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 23}
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id: 2162759
{'charpoly_factorization': [[[210, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 29}
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id: 2162760
{'charpoly_factorization': [[[-47, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 31}
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id: 2162761
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 37}
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id: 2162762
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 41}
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id: 2162763
{'charpoly_factorization': [[[218, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 43}
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id: 2162764
{'charpoly_factorization': [[[474, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 47}
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id: 2162765
{'charpoly_factorization': [[[-81, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 53}
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id: 2162766
{'charpoly_factorization': [[[-84, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 59}
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id: 2162767
{'charpoly_factorization': [[[56, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 61}
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id: 2162768
{'charpoly_factorization': [[[-142, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 67}
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id: 2162769
{'charpoly_factorization': [[[360, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 71}
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id: 2162770
{'charpoly_factorization': [[[1159, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 73}
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id: 2162771
{'charpoly_factorization': [[[160, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 79}
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id: 2162772
{'charpoly_factorization': [[[-735, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 83}
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id: 2162773
{'charpoly_factorization': [[[-954, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 89}
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id: 2162774
{'charpoly_factorization': [[[-191, 1], 1]], 'hecke_orbit_code': 94575592241891008, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '1728.4.a.v', 'level': 1728, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 65250757
{'hecke_orbit_code': 94575592241891008, 'n': 1, 'trace_an': 1}
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id: 65250758
{'hecke_orbit_code': 94575592241891008, 'n': 2, 'trace_an': 0}
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id: 65250759
{'hecke_orbit_code': 94575592241891008, 'n': 3, 'trace_an': 0}
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id: 65250760
{'hecke_orbit_code': 94575592241891008, 'n': 4, 'trace_an': 0}
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id: 65250761
{'hecke_orbit_code': 94575592241891008, 'n': 5, 'trace_an': 3}
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id: 65250762
{'hecke_orbit_code': 94575592241891008, 'n': 6, 'trace_an': 0}
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id: 65250763
{'hecke_orbit_code': 94575592241891008, 'n': 7, 'trace_an': 29}
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id: 65250764
{'hecke_orbit_code': 94575592241891008, 'n': 8, 'trace_an': 0}
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id: 65250765
{'hecke_orbit_code': 94575592241891008, 'n': 9, 'trace_an': 0}
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id: 65250766
{'hecke_orbit_code': 94575592241891008, 'n': 10, 'trace_an': 0}
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id: 65250767
{'hecke_orbit_code': 94575592241891008, 'n': 11, 'trace_an': -57}
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id: 65250768
{'hecke_orbit_code': 94575592241891008, 'n': 12, 'trace_an': 0}
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id: 65250769
{'hecke_orbit_code': 94575592241891008, 'n': 13, 'trace_an': -20}
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id: 65250770
{'hecke_orbit_code': 94575592241891008, 'n': 14, 'trace_an': 0}
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id: 65250771
{'hecke_orbit_code': 94575592241891008, 'n': 15, 'trace_an': 0}
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id: 65250772
{'hecke_orbit_code': 94575592241891008, 'n': 16, 'trace_an': 0}
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id: 65250773
{'hecke_orbit_code': 94575592241891008, 'n': 17, 'trace_an': 72}
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id: 65250774
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