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{'Nk2': 23040, 'analytic_conductor': 84.96275040826649, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [1440, 1, [991, 901, 641, 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': [[7, [12, 1]], [11, [20, 1]], [17, [-70, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595968185760, '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': '1440.4.a.l', 'level': 1440, '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': '480.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+5q^{5}-12q^{7}-20q^{11}-58q^{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': '1440.4.a', 'trace_display': [0, 0, 5, -12], 'trace_hash': 2293618541149787672, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.004', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [5], [0], [-12], [0], [0], [0], [-20], [0], [-58], [0], [0], [0], [70], [0], [92], [0], [0], [0], [112], [0], [25], [0], [0], [0], [-66], [0], [108], [0], [0], [0], [-60], [0], [-58], [0], [0], [0], [-66], [0], [388], [0], [0], [0], [-408], [0], [-199], [0], [0], [0], [-474], [0], [-100], [0], [0], [0], [-540], [0], [14], [0], [0], [0], [-290], [0], [276], [0], [0], [0], [-96], [0], [-790], [0], [0], [0], [240], [0], [-308], [0], [0], [0], [-1036], [0], [350], [0], [0], [0], [-1210], [0], [696], [0], [0], [0], [460], [0], [1426], [0], [0], [0]], 'ap': [[0], [0], [5], [-12], [-20], [-58], [70], [92], [112], [-66], [108], [-58], [-66], [388], [-408], [-474], [-540], [14], [276], [-96], [-790], [-308], [-1036], [-1210], [1426], [-74], [1436], [84], [-250], [654], [-2572], [-836], [-1250], [2428], [-1746], [-2092], [-2162], [-932], [3192], [-2282], [-2004], [-4226], [2656], [2162], [-3514], [988], [-3548], [-732], [5492], [798], [2886], [4096], [2354], [-2916], [-882], [-4456], [1486], [4676], [-2898], [-5194], [5420], [-9130], [-6044], [-6120], [-614], [-786], [-468], [1538], [8396], [-11090], [-3298], [-10720], [-4116], [3590], [12452], [-12416], [-2370], [9486], [10630], [12890], [-11196], [-8594], [3544], [5810], [9628], [-6100], [7750], [18314], [-6122], [10420], [12612], [-3352], [17108], [-11388], [8996], [-19504], [-8306], [-14850], [-20044], [-21930], [-19988], [11718], [12756], [15790], [-2500], [13778], [-11724], [27054], [15328], [-25286], [-22060], [-8810], [11766], [28316], [-1388], [15974], [-13044], [-18016], [17830], [-20740], [12070], [20514], [13326], [2988], [-16628], [-28082], [20158], [30536], [7204], [5398], [-5660], [3624], [-12532], [-9026], [-4674], [38386], [16774], [27116], [17494], [-9298], [21252], [-1578], [9652], [-15612], [-13194], [22512], [-3114], [36254], [-27644], [8608], [37294], [5742], [46028], [-10136], [30900], [-45152], [-30044], [11382], [-34758], [13270], [-35620], [16926], [27676], [-46916], [-27594], [-33016], [-2276], [57654], [-41630], [-20610], [-30220], [-59522], [27432], [-5382], [22076], [-14730], [16620], [-48642], [33692], [-42610], [34348], [6388], [56878], [-52842], [-1872], [-17858], [53526], [-62188], [-59942], [19104], [-56062], [10340], [-40860], [-56650], [-39796], [-41642], [-7902], [-2442], [-28146], [12008], [-67370], [47556], [84654], [40210], [62076], [46446], [-65276], [50020], [62966], [32308], [-45950], [-17346], [-14708], [94164], [-8464], [-92486], [33628], [-35370], [-34776], [-24922], [47150], [39356], [81942], [16276], [-79436], [14342], [8918], [-37368], [-28148], [44964], [-20490], [-1892], [55604], [-26746], [-48812], [78904], [83586], [-29138], [40012], [15744], [-85612], [-15716], [-81548], [21006], [59102], [-55648], [47708], [42572], [-19380], [69152], [80838], [-15922], [-53856], [59834], [-50994], [-74436], [-109378], [-27076], [78918], [-124598], [41588], [79500], [-2866], [-37042], [12966], [98980], [-4954], [49158], [42100], [115294], [82110], [56564], [57962], [79164], [119922], [-68020], [66364], [32110], [-105270], [-118020], [-129528], [-142708], [-34176], [114534], [-3708], [-69440], [26290], [31262], [77044], [150382], [-76410], [-129316], [155286], [-136588], [-34018], [-52762], [32900], [-23578], [125292], [-61476], [29610], [103654], [171260], [-71364], [-79052], [-38270], [45724], [-93194], [-38112], [-92778], [113648], [69030], [54790], [122668], [157544], [-102758], [-158948], [-15528], [133522], [-45410], [41956], [50906], [178878], [-110820], [62638], [103490], [-71636], [27028], [99648], [-6498], [125062], [-218], [-107212], [-61924], [64156], [78940], [-160610], [-50658], [117962], [-195964], [58006], [-110370], [92118], [-135780], [-161682], [-940], [-80578], [-128756], [-61560], [139638], [-172548], [-91766], [45118], [31780], [84294], [-69882], [78160], [79428], [-116538], [83672], [-9434], [70870], [-17584], [146060], [37380], [-71574], [-149778], [65508], [23530], [170436], [-25004], [46352], [-80218], [-10572], [-210314], [87300], [-75040], [54562], [-148826], [-26966], [-175546], [205182], [-45116], [9806], [17484], [-147432], [55436], [-145586], [-236340], [-42360], [183906], [-235986], [-44140], [188444], [109720], [167098], [215236], [234526], [36020], [37294], [5486], [-238458], [-138364], [-99554], [-65002], [66740], [-77098], [99942], [-42084], [234836], [-182334], [-261602], [39372], [-135268], [-173910], [81454], [219264], [257284], [-189546], [-43552], [-245434], [-122746], [-118816], [-241044], [-271766], [29934], [54660], [80646], [169604], [-105264]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 49539595968185760, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1440.4.a.l', 'level': 1440, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [7, 5, 9, 10, 5, 7, 9, 8], 'Nk2': 23040, 'analytic_conductor': 84.96275040826649, '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': [1440, 1, [991, 901, 641, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 832, 'dim': 60, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17], 'hecke_orbit_code': 67110304, 'hecke_orbit_dims': [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, 2, 3, 3, 3, 3], 'label': '1440.4.a', 'level': 1440, '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': 896, 'mf_new_dim': 60, 'num_forms': 37, 'plus_dim': 33, 'prim_orbit_index': 1, 'relative_dim': 60, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 1500, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 1008, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, 2116, 0, 0, 0, -784, 0, 0, 0, 0, 0, 0, 0, 1760, 0, 0, 0, 280, 0, 0, 0, 0, 0, 0, 0, -1224, 0, 0, 0, 1680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3656, 0, 0, 0, 0, 0, 0, 0, 680, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 3360, 0, 0, 0, 4856, 0, 0, 0, 0, 0, 0, 0, 12556, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13856, 0, 0, 0, -1480, 0, 0, 0, 0, 0, 0, 0, 720, 0, 0, 0, -13344, 0, 0, 0, 0, 0, 0, 0, -1360, 0, 0, 0, 16264, 0, 0, 0, 0, 0, 0, 0, 25700, 0, 0, 0, 11920, 0, 0, 0, 0, 0, 0, 0, 10152, 0, 0, 0, 2040, 0, 0, 0, 0, 0, 0, 0, 6936, 0, 0, 0, 4640, 0, 0, 0, 0, 0, 0, 0, -2520, 0, 0, 0, 22432, 0, 0, 0, 0, 0, 0, 0, 14832, 0, 0, 0, 22304, 0, 0, 0, 0, 0, 0, 0, -232, 0, 0, 0, -6984, 0, 0, 0, 0, 0, 0, 0, 560, 0, 0, 0, -5240, 0, 0, 0, 0, 0, 0, 0, -5904, 0, 0, 0, 36696, 0, 0, 0, 0, 0, 0, 0, 5080, 0, 0, 0, 23616, 0, 0, 0, 0, 0, 0, 0, 11360, 0, 0, 0, -34528, 0, 0, 0, 0, 0, 0, 0, 19700, 0, 0, 0, -30064, 0, 0, 0, 0, 0, 0, 0, -7160, 0, 0, 0, 11000, 0, 0, 0, 0, 0, 0, 0, 37528, 0, 0, 0, 22592, 0, 0, 0, 0, 0, 0, 0, -3600, 0, 0, 0, -28392, 0, 0, 0, 0, 0, 0, 0, 10360, 0, 0, 0, -56448, 0, 0, 0, 0, 0, 0, 0, -2728, 0, 0, 0, 21096, 0, 0, 0, 0, 0, 0, 0, 63212, 0, 0, 0, 21440, 0, 0, 0, 0, 0, 0, 0, 35808, 0, 0, 0, -19488, 0, 0, 0, 0, 0, 0, 0, -14640, 0, 0, 0, -15808, 0, 0, 0, 0, 0, 0, 0, -59408, 0, 0, 0, 48344, 0, 0, 0, 0, 0, 0, 0, 7744, 0, 0, 0, -4064, 0, 0, 0, 0, 0, 0, 0, -3520, 0, 0, 0, -3800, 0, 0, 0, 0, 0, 0, 0, 29832, 0, 0, 0, -87648, 0, 0, 0, 0, 0, 0, 0, 11040, 0, 0, 0, 13008, 0, 0, 0, 0, 0, 0, 0, -11272, 0, 0, 0, 12600, 0, 0, 0, 0, 0, 0, 0, 6040, 0, 0, 0, -8656, 0, 0, 0, 0, 0, 0, 0, -35696, 0, 0, 0, 5200, 0, 0, 0, 0, 0, 0, 0, -82576, 0, 0, 0, 30608, 0, 0, 0, 0, 0, 0, 0, -13120, 0, 0, 0, -31160, 0, 0, 0, 0, 0, 0, 0, -53360, 0, 0, 0, -15656, 0, 0, 0, 0, 0, 0, 0, -49436, 0, 0, 0, -70768, 0, 0, 0, 0, 0, 0, 0, 5512, 0, 0, 0, 1400, 0, 0, 0, 0, 0, 0, 0, 8224, 0, 0, 0, 43168, 0, 0, 0, 0, 0, 0, 0, 5360, 0, 0, 0, -21584, 0, 0, 0, 0, 0, 0, 0, -59096, 0, 0, 0, 75672, 0, 0, 0, 0, 0, 0, 0, -87168, 0, 0, 0, -41784, 0, 0, 0, 0, 0, 0, 0, 31280, 0, 0, 0, -16160, 0, 0, 0, 0, 0, 0, 0, -183616, 0, 0, 0, -51464, 0, 0, 0, 0, 0, 0, 0, 37500, 0, 0, 0, -114208, 0, 0, 0, 0, 0, 0, 0, -146688, 0, 0, 0, 38464, 0, 0, 0, 0, 0, 0, 0, -186848, 0, 0, 0, 6752, 0, 0, 0, 0, 0, 0, 0, -52832, 0, 0, 0, 16960, 0, 0, 0, 0, 0, 0, 0, -54616, 0, 0, 0, 57856, 0, 0, 0, 0, 0, 0, 0, 8400, 0, 0, 0, -62160, 0, 0, 0, 0, 0, 0, 0, -70752, 0, 0, 0, -35264, 0, 0, 0, 0, 0, 0, 0, -35880, 0, 0, 0, 99376, 0, 0, 0, 0, 0, 0, 0, 664, 0, 0, 0, -1400, 0, 0, 0, 0, 0, 0, 0, -30320, 0, 0, 0, -29168, 0, 0, 0, 0, 0, 0, 0, 20840, 0, 0, 0, 22504, 0, 0, 0, 0, 0, 0, 0, -10208, 0, 0, 0, 99864, 0, 0, 0, 0, 0, 0, 0, 64120, 0, 0, 0, 266368, 0, 0, 0, 0, 0, 0, 0, -34336, 0, 0, 0, -46600, 0, 0, 0, 0, 0, 0, 0, -202032, 0, 0, 0, -122400, 0, 0, 0, 0, 0, 0, 0, -23960, 0, 0, 0, 75384, 0, 0, 0, 0, 0, 0, 0, -73504, 0, 0, 0, -135840, 0, 0, 0, 0, 0, 0, 0, 38624, 0, 0, 0, -125800, 0, 0, 0, 0, 0, 0, 0, 75140, 0, 0, 0, -18560, 0, 0, 0, 0, 0, 0, 0, 83872, 0, 0, 0, 17880, 0, 0, 0, 0, 0, 0, 0, 23640, 0, 0, 0, 259936, 0, 0, 0, 0, 0, 0, 0, 65104, 0, 0, 0, -116032, 0, 0, 0, 0, 0, 0, 0, 142920, 0, 0, 0, -248800, 0, 0, 0, 0, 0, 0, 0, -165920, 0, 0, 0, 25760, 0, 0, 0, 0, 0, 0, 0, -35760, 0, 0, 0, -132048, 0, 0, 0, 0, 0, 0, 0, 25200, 0, 0, 0, -29392, 0, 0, 0, 0, 0, 0, 0, -139480, 0, 0, 0, 13144, 0, 0, 0, 0, 0, 0, 0, 2528, 0, 0, 0, 103528, 0, 0, 0, 0, 0, 0, 0, -76836, 0, 0, 0, 70240, 0, 0, 0, 0, 0, 0, 0, 332608, 0, 0, 0, -156072, 0, 0, 0, 0, 0, 0, 0, 10760, 0, 0, 0, -216024, 0, 0, 0, 0, 0, 0, 0, 104272, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 734893
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1440.4.a.l', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '480.4.a.a', 'target_level': 480, 'twist_class_label': '480.4.a.a', 'twist_class_level': 480, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 734894
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1440.4.a.l', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '480.4.a.h', 'target_level': 480, 'twist_class_label': '480.4.a.a', 'twist_class_level': 480, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 734895
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1440.4.a.l', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '960.4.a.p', 'target_level': 960, 'twist_class_label': '480.4.a.a', 'twist_class_level': 480, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 734896
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1440.4.a.l', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '960.4.a.be', 'target_level': 960, 'twist_class_label': '480.4.a.a', 'twist_class_level': 480, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 734897
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1440.4.a.l', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1440.4.a.l', 'target_level': 1440, 'twist_class_label': '480.4.a.a', 'twist_class_level': 480, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 734898
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1440.4.a.l', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1440.4.a.q', 'target_level': 1440, 'twist_class_label': '480.4.a.a', 'twist_class_level': 480, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 734899
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1440.4.a.l', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2400.4.a.b', 'target_level': 2400, 'twist_class_label': '480.4.a.a', 'twist_class_level': 480, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 734900
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '1440.4.a.l', 'source_level': 1440, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2400.4.a.u', 'target_level': 2400, 'twist_class_label': '480.4.a.a', 'twist_class_level': 480, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1848775
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 2}
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id: 1848776
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 3}
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id: 1848777
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 5}
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id: 1848778
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 7}
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id: 1848779
{'charpoly_factorization': [[[20, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 11}
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id: 1848780
{'charpoly_factorization': [[[58, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 13}
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id: 1848781
{'charpoly_factorization': [[[-70, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 17}
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id: 1848782
{'charpoly_factorization': [[[-92, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 19}
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id: 1848783
{'charpoly_factorization': [[[-112, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 23}
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id: 1848784
{'charpoly_factorization': [[[66, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 29}
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id: 1848785
{'charpoly_factorization': [[[-108, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 31}
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id: 1848786
{'charpoly_factorization': [[[58, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 37}
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id: 1848787
{'charpoly_factorization': [[[66, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 41}
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id: 1848788
{'charpoly_factorization': [[[-388, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 43}
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id: 1848789
{'charpoly_factorization': [[[408, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 47}
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id: 1848790
{'charpoly_factorization': [[[474, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 53}
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id: 1848791
{'charpoly_factorization': [[[540, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 59}
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id: 1848792
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 61}
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id: 1848793
{'charpoly_factorization': [[[-276, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 67}
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id: 1848794
{'charpoly_factorization': [[[96, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 71}
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id: 1848795
{'charpoly_factorization': [[[790, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 73}
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id: 1848796
{'charpoly_factorization': [[[308, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 79}
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id: 1848797
{'charpoly_factorization': [[[1036, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 83}
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id: 1848798
{'charpoly_factorization': [[[1210, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 89}
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id: 1848799
{'charpoly_factorization': [[[-1426, 1], 1]], 'hecke_orbit_code': 49539595968185760, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '1440.4.a.l', 'level': 1440, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 56648005
{'hecke_orbit_code': 49539595968185760, 'n': 1, 'trace_an': 1}
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id: 56648006
{'hecke_orbit_code': 49539595968185760, 'n': 2, 'trace_an': 0}
-
id: 56648007
{'hecke_orbit_code': 49539595968185760, 'n': 3, 'trace_an': 0}
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id: 56648008
{'hecke_orbit_code': 49539595968185760, 'n': 4, 'trace_an': 0}
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id: 56648009
{'hecke_orbit_code': 49539595968185760, 'n': 5, 'trace_an': 5}
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id: 56648010
{'hecke_orbit_code': 49539595968185760, 'n': 6, 'trace_an': 0}
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id: 56648011
{'hecke_orbit_code': 49539595968185760, 'n': 7, 'trace_an': -12}
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id: 56648012
{'hecke_orbit_code': 49539595968185760, 'n': 8, 'trace_an': 0}
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id: 56648013
{'hecke_orbit_code': 49539595968185760, 'n': 9, 'trace_an': 0}
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id: 56648014
{'hecke_orbit_code': 49539595968185760, 'n': 10, 'trace_an': 0}
-
id: 56648015
{'hecke_orbit_code': 49539595968185760, 'n': 11, 'trace_an': -20}
-
id: 56648016
{'hecke_orbit_code': 49539595968185760, 'n': 12, 'trace_an': 0}
-
id: 56648017
{'hecke_orbit_code': 49539595968185760, 'n': 13, 'trace_an': -58}
-
id: 56648018
{'hecke_orbit_code': 49539595968185760, 'n': 14, 'trace_an': 0}
-
id: 56648019
{'hecke_orbit_code': 49539595968185760, 'n': 15, 'trace_an': 0}
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id: 56648020
{'hecke_orbit_code': 49539595968185760, 'n': 16, 'trace_an': 0}
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id: 56648021
{'hecke_orbit_code': 49539595968185760, 'n': 17, 'trace_an': 70}
-
id: 56648022
{'hecke_orbit_code': 49539595968185760, 'n': 18, 'trace_an': 0}
-
id: 56648023
{'hecke_orbit_code': 49539595968185760, 'n': 19, 'trace_an': 92}
-
id: 56648024
{'hecke_orbit_code': 49539595968185760, 'n': 20, 'trace_an': 0}
-
id: 56648025
{'hecke_orbit_code': 49539595968185760, 'n': 21, 'trace_an': 0}
-
id: 56648026
{'hecke_orbit_code': 49539595968185760, 'n': 22, 'trace_an': 0}
-
id: 56648027
{'hecke_orbit_code': 49539595968185760, 'n': 23, 'trace_an': 112}
-
id: 56648028
{'hecke_orbit_code': 49539595968185760, 'n': 24, 'trace_an': 0}
-
id: 56648029
{'hecke_orbit_code': 49539595968185760, 'n': 25, 'trace_an': 25}
-
id: 56648030
{'hecke_orbit_code': 49539595968185760, 'n': 26, 'trace_an': 0}
-
id: 56648031
{'hecke_orbit_code': 49539595968185760, 'n': 27, 'trace_an': 0}
-
id: 56648032
{'hecke_orbit_code': 49539595968185760, 'n': 28, 'trace_an': 0}
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