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{'Nk2': 39168, 'analytic_conductor': 144.43667569405304, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [17, 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': [2448, 1, [2143, 613, 1361, 1873], [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, [6, 1]], [7, [-28, 1]]], 'hecke_orbit': 6, 'hecke_orbit_code': 22517998203963792, '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': '2448.4.a.f', 'level': 2448, '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, 17], 'level_radical': 102, 'minimal_twist': '17.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-6q^{5}+28q^{7}-24q^{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': '2448.4.a', 'trace_display': [0, 0, -6, 28], 'trace_hash': 1781021066065924745, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.049', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.973', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.138', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.967', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.351', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.020', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [1, 0, 0, 0, -6, 0, 28, 0, 0, 0, -24, 0, -58, 0, 0, 0, -17, 0, -116, 0, 0, 0, -60, 0, -89, 0, 0, 0, -30, 0, 172, 0, 0, 0, -168, 0, -58, 0, 0, 0, 342, 0, 148, 0, 0, 0, 288, 0, 441, 0, 0, 0, -318, 0, 144, 0, 0, 0, 252, 0, 110, 0, 0, 0, 348, 0, 484, 0, 0, 0, -708, 0, 362, 0, 0, 0, -672, 0, 484, 0, 0, 0, 756, 0, 102, 0, 0, 0, 774, 0, -1624, 0, 0, 0, 696, 0, -382, 0, 0, 0, 210, 0, 232, 0, 0, 0, 432, 0, -1186, 0, 0, 0, 366, 0, 360, 0, 0, 0, -476, 0, -755, 0, 0, 0, 1284, 0, 472, 0, 0, 0, 2760, 0, -3248, 0, 0, 0, -1098, 0, -2528, 0, 0, 0, 1392, 0, 180, 0, 0, 0, -1614, 0, 3328, 0, 0, 0, -1032, 0, -2458, 0, 0, 0, -1680, 0, -272, 0, 0, 0, 3516, 0, 1167, 0, 0, 0, 1842, 0, -2492, 0, 0, 0, -3516, 0, 3398, 0, 0, 0, 348, 0, 408, 0, 0, 0, -2640, 0, 2882, 0, 0, 0, 42, 0, 3220, 0, 0, 0, -840, 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mf_hecke_nf • Show schema
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{'an': [[1], [0], [0], [0], [-6], [0], [28], [0], [0], [0], [-24], [0], [-58], [0], [0], [0], [-17], [0], [-116], [0], [0], [0], [-60], [0], [-89], [0], [0], [0], [-30], [0], [172], [0], [0], [0], [-168], [0], [-58], [0], [0], [0], [342], [0], [148], [0], [0], [0], [288], [0], [441], [0], [0], [0], [-318], [0], [144], [0], [0], [0], [252], [0], [110], [0], [0], [0], [348], [0], [484], [0], [0], [0], [-708], [0], [362], [0], [0], [0], [-672], [0], [484], [0], [0], [0], [756], [0], [102], [0], [0], [0], [774], [0], [-1624], [0], [0], [0], [696], [0], [-382], [0], [0], [0]], 'ap': [[0], [0], [-6], [28], [-24], [-58], [-17], [-116], [-60], [-30], [172], [-58], [342], [148], [288], [-318], [252], [110], [484], [-708], [362], [484], [756], [774], [-382], [210], [232], [432], [-1186], [366], [472], [2760], [-1098], [-2528], [-1614], [3328], [-2458], [-272], [3516], [1842], [-3516], [3398], [-2640], [2882], [42], [3220], [2080], [-4664], [-1440], [-1186], [5334], [5328], [5618], [-2028], [1902], [-5472], [3570], [-272], [3830], [-8874], [2632], [6402], [8980], [-3972], [4730], [2898], [4564], [722], [5544], [11126], [-7842], [5040], [8404], [-8098], [-320], [-10872], [-1374], [-7522], [-2706], [266], [2688], [-13810], [3036], [-11422], [52], [3108], [-6114], [4106], [-3366], [-896], [-10236], [5172], [15052], [8700], [1168], [-1740], [12570], [-11658], [-13700], [17822], [-3800], [10074], [-15948], [-21834], [21208], [12530], [2220], [25038], [5784], [-4198], [12124], [7454], [-28842], [17224], [12448], [25182], [-17048], [7128], [-18462], [28092], [10910], [-28414], [6042], [34752], [-18320], [22890], [22886], [-13452], [27304], [24470], [-35252], [1548], [-2948], [-754], [41574], [-15118], [-23550], [-5240], [-5526], [438], [30448], [21930], [27436], [-17832], [-4090], [-2508], [-42442], [-32730], [6148], [-22512], [9182], [-28530], [12436], [7404], [-15368], [27276], [46456], [-13026], [26330], [-28254], [49272], [-32922], [1168], [-19812], [28494], [-42708], [29500], [-9322], [-6190], [-25254], [9444], [27254], [-55788], [48266], [-52136], [15174], [-30992], [66282], [5056], [-39370], [7936], [-62280], [14726], [-70074], [-5496], [-56670], [-34882], [-4988], [-38902], [22212], [-4222], [-28392], [41068], [-21222], [-38088], [4662], [42002], [-1618], [51774], [35352], [44562], [31444], [10574], [13106], [-4524], [1818], [-52304], [-31212], [84630], [11692], [-17038], [-41070], [68956], [-57588], [36132], [-29878], [-28016], [82254], [48564], [-30006], [4670], [-10172], [-36546], [-12308], [-55860], [20606], [1926], [44076], [58672], [87912], [18662], [-64136], [35416], [-44298], [35356], [63864], [-89134], [91146], [-41808], [107664], [8352], [-34436], [-45992], [96662], [50958], [-5700], [17740], [-50832], [-25628], [-22104], [59366], [-8226], [-65856], [45002], [60522], [59964], [-29050], [-96512], [-51846], [-55462], [-132788], [-122148], [-80890], [-63634], [16062], [-113276], [127578], [92694], [-70520], [105090], [30494], [25156], [-130582], [-35624], [87122], [77632], [-12372], [109526], [-63478], [-13116], [36432], [-13196], [56004], [46478], [-32384], [101712], [94898], [67194], [-55280], [13518], [-54798], [127464], [48294], [-42312], [2990], [-95214], [53296], [-148062], [-84216], [-75140], [-11446], [113226], [-78476], [-600], [-40928], [-130174], [110244], [145982], [121704], [-140962], [52860], [3690], [-55746], [97900], [63912], [30938], [10020], [-876], [-22366], [-39090], [77488], [123194], [-81030], [150016], [99030], [48530], [1096], [28024], [9300], [-174438], [81758], [141522], [-79364], [119484], [-11288], [137112], [208694], [83454], [-129430], [8008], [-127042], [-90570], [69210], [110248], [-63030], [149520], [-16378], [20812], [-126828], [-89094], [162124], [165002], [17322], [151900], [-167506], [-30906], [140664], [155616], [124302], [8976], [-115306], [220566], [-238128], [-121800], [21724], [-82150], [-71598], [-189128], [-153766], [-56988], [-54248], [-3348], [-16350], [-13160], [41102], [-192552], [-60228], [-70222], [109422], [1514], [163266], [-219834], [-133244], [-24834], [-28016], [-229452], [95416], [-47602], [4048], [153504], [58850], [-133398], [-92892], [222244], [-85680], [87770], [27904], [50406], [-47816], [146562], [-142114], [32142], [-119648], [95142], [149730], [-54620], [190934], [-68034], [202732], [-133224], [-20590], [178866], [166644], [-198632], [66554], [90354], [152940], [77284], [-10674], [-70632], [205674], [-202186], [-210492], [72492], [128618], [35946], [-171720], [270054], [-296372], [-166188]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 22517998203963792, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2448.4.a.f', 'level': 2448, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [12, 12, 17, 19, 12, 12, 19, 17], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [152, 144, 141, 139, 142, 150, 141, 143], 'Nk2': 39168, 'analytic_conductor': 144.43667569405304, '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': [2448, 1, [2143, 613, 1361, 1873], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1272, 'dim': 120, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 67111312, '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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 7, 7], 'label': '2448.4.a', 'level': 2448, '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, 17], 'level_radical': 102, 'mf_dim': 1320, 'mf_new_dim': 120, 'num_forms': 49, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 1728, 'trace_bound': 7, 'trace_display': [0, 0, 0, -22], 'traces': [120, 0, 0, 0, 0, 0, -22, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, -302, 0, 2832, 0, 0, 0, -144, 0, 66, 0, 0, 0, 228, 0, -8, 0, 0, 0, 296, 0, -668, 0, 0, 0, -1368, 0, 6752, 0, 0, 0, 376, 0, 612, 0, 0, 0, 1020, 0, 0, 0, 0, 0, -744, 0, -1440, 0, 0, 0, -1734, 0, 768, 0, 0, 0, 624, 0, 2614, 0, 0, 0, 1340, 0, 0, 0, 0, 0, 248, 0, 984, 0, 0, 0, -4728, 0, 440, 0, 0, 0, 3344, 0, -1872, 0, 0, 0, 758, 0, 1720, 0, 0, 0, -1640, 0, -4108, 0, 0, 0, -1190, 0, 11704, 0, 0, 0, -5040, 0, 2076, 0, 0, 0, 1118, 0, -2328, 0, 0, 0, 2992, 0, -1602, 0, 0, 0, -9728, 0, 3176, 0, 0, 0, 4064, 0, -908, 0, 0, 0, -6124, 0, 5864, 0, 0, 0, -4096, 0, -1686, 0, 0, 0, 802, 0, 15456, 0, 0, 0, -6872, 0, -14218, 0, 0, 0, -2636, 0, 6840, 0, 0, 0, 5704, 0, -1122, 0, 0, 0, 6472, 0, 13008, 0, 0, 0, 6888, 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mf_twists_nf • Show schema
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id: 942869
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '17.4.a.a', 'target_level': 17, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 942870
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '153.4.a.d', 'target_level': 153, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 942871
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '272.4.a.d', 'target_level': 272, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 942872
{'conductor': 204, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '289.4.a.a', 'target_level': 289, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '204.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 942873
{'conductor': 204, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '289.4.b.a', 'target_level': 289, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '204.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 942874
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '425.4.a.d', 'target_level': 425, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 942875
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '425.4.b.c', 'target_level': 425, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 942876
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '833.4.a.a', 'target_level': 833, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 942877
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1088.4.a.a', 'target_level': 1088, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 942878
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1088.4.a.l', 'target_level': 1088, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 942879
{'conductor': 132, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2057.4.a.d', 'target_level': 2057, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, 'twisting_char_label': '132.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 942880
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 6, 'source_is_minimal': False, 'source_label': '2448.4.a.f', 'source_level': 2448, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2448.4.a.f', 'target_level': 2448, 'twist_class_label': '17.4.a.a', 'twist_class_level': 17, '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: 2462275
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 2}
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id: 2462276
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 3}
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id: 2462277
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 5}
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id: 2462278
{'charpoly_factorization': [[[-28, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 7}
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id: 2462279
{'charpoly_factorization': [[[24, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 11}
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id: 2462280
{'charpoly_factorization': [[[58, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 13}
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id: 2462281
{'charpoly_factorization': [[[17, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 17}
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id: 2462282
{'charpoly_factorization': [[[116, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 19}
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id: 2462283
{'charpoly_factorization': [[[60, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 23}
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id: 2462284
{'charpoly_factorization': [[[30, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 29}
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id: 2462285
{'charpoly_factorization': [[[-172, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 31}
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id: 2462286
{'charpoly_factorization': [[[58, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 37}
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id: 2462287
{'charpoly_factorization': [[[-342, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 41}
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id: 2462288
{'charpoly_factorization': [[[-148, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 43}
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id: 2462289
{'charpoly_factorization': [[[-288, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 47}
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id: 2462290
{'charpoly_factorization': [[[318, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 53}
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id: 2462291
{'charpoly_factorization': [[[-252, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 59}
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id: 2462292
{'charpoly_factorization': [[[-110, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 61}
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id: 2462293
{'charpoly_factorization': [[[-484, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 67}
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id: 2462294
{'charpoly_factorization': [[[708, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 71}
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id: 2462295
{'charpoly_factorization': [[[-362, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 73}
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id: 2462296
{'charpoly_factorization': [[[-484, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 79}
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id: 2462297
{'charpoly_factorization': [[[-756, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 83}
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id: 2462298
{'charpoly_factorization': [[[-774, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 89}
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id: 2462299
{'charpoly_factorization': [[[382, 1], 1]], 'hecke_orbit_code': 22517998203963792, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 6, 'label': '2448.4.a.f', 'level': 2448, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 43698727
{'hecke_orbit_code': 22517998203963792, 'n': 1, 'trace_an': 1}
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id: 43698728
{'hecke_orbit_code': 22517998203963792, 'n': 2, 'trace_an': 0}
-
id: 43698729
{'hecke_orbit_code': 22517998203963792, 'n': 3, 'trace_an': 0}
-
id: 43698730
{'hecke_orbit_code': 22517998203963792, 'n': 4, 'trace_an': 0}
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id: 43698731
{'hecke_orbit_code': 22517998203963792, 'n': 5, 'trace_an': -6}
-
id: 43698732
{'hecke_orbit_code': 22517998203963792, 'n': 6, 'trace_an': 0}
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id: 43698733
{'hecke_orbit_code': 22517998203963792, 'n': 7, 'trace_an': 28}
-
id: 43698734
{'hecke_orbit_code': 22517998203963792, 'n': 8, 'trace_an': 0}
-
id: 43698735
{'hecke_orbit_code': 22517998203963792, 'n': 9, 'trace_an': 0}
-
id: 43698736
{'hecke_orbit_code': 22517998203963792, 'n': 10, 'trace_an': 0}
-
id: 43698737
{'hecke_orbit_code': 22517998203963792, 'n': 11, 'trace_an': -24}
-
id: 43698738
{'hecke_orbit_code': 22517998203963792, 'n': 12, 'trace_an': 0}
-
id: 43698739
{'hecke_orbit_code': 22517998203963792, 'n': 13, 'trace_an': -58}
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id: 43698740
{'hecke_orbit_code': 22517998203963792, 'n': 14, 'trace_an': 0}
-
id: 43698741
{'hecke_orbit_code': 22517998203963792, 'n': 15, 'trace_an': 0}
-
id: 43698742
{'hecke_orbit_code': 22517998203963792, 'n': 16, 'trace_an': 0}
-
id: 43698743
{'hecke_orbit_code': 22517998203963792, 'n': 17, 'trace_an': -17}
-
id: 43698744
{'hecke_orbit_code': 22517998203963792, 'n': 18, 'trace_an': 0}
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