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{'Nk2': 21504, 'analytic_conductor': 79.29856704771538, 'analytic_rank': 1, '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': [1344, 1, [127, 1093, 449, 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, [6, 1]], [11, [-36, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798949221696, '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': '1344.4.a.d', 'level': 1344, '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': '84.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}-6q^{5}-7q^{7}+9q^{9}+6^{2}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1344.4.a', 'trace_display': [0, -3, -6, -7], 'trace_hash': 2240579175065370177, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.993', '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], [-3], [0], [-6], [0], [-7], [0], [9], [0], [36], [0], [-62], [0], [18], [0], [114], [0], [-76], [0], [21], [0], [24], [0], [-89], [0], [-27], [0], [-54], [0], [112], [0], [-108], [0], [42], [0], [178], [0], [186], [0], [378], [0], [-172], [0], [-54], [0], [192], [0], [49], [0], [-342], [0], [402], [0], [-216], [0], [228], [0], [396], [0], [-254], [0], [-63], [0], [372], [0], [-1012], [0], [-72], [0], [-840], [0], [890], [0], [267], [0], [-252], [0], [-80], [0], [81], [0], [-108], [0], [-684], [0], [162], [0], [-1638], [0], [434], [0], [-336], [0], [456], [0], [1010], [0], [324], [0]], 'ap': [[0], [-3], [-6], [-7], [36], [-62], [114], [-76], [24], [-54], [112], [178], [378], [-172], [192], [402], [396], [-254], [-1012], [-840], [890], [-80], [-108], [-1638], [1010], [-6], [472], [-972], [1786], [-2286], [-1328], [-1212], [-1254], [-340], [-1038], [-2936], [1330], [-3364], [-3048], [2706], [4716], [-1910], [-4080], [-2686], [-510], [-1352], [-3364], [4768], [420], [1882], [5082], [5424], [-2590], [-4932], [-3438], [-6120], [18], [-6896], [-6254], [1194], [-7156], [3738], [-844], [-6312], [8282], [-9318], [1652], [-1294], [3636], [-10478], [-7566], [8040], [-7568], [13522], [2468], [12336], [3762], [8770], [6642], [-1510], [-1260], [-3998], [2736], [2690], [1240], [-3900], [-10878], [2330], [-15150], [2992], [8724], [-9744], [-4136], [16212], [2396], [-13128], [-12798], [7386], [5180], [-4070], [14780], [6858], [6660], [-150], [-8188], [-5854], [17580], [17154], [18120], [17546], [14560], [4498], [-5478], [6044], [15352], [-22398], [3764], [17688], [-19878], [-20004], [1306], [-13054], [-5046], [12468], [-23212], [-35958], [-6446], [4704], [10600], [-12542], [23324], [6312], [-35840], [34594], [23946], [18770], [-30342], [-26188], [34818], [-21702], [-20356], [19890], [-4232], [9636], [-35294], [3768], [39466], [-34038], [-3364], [-13104], [40858], [-37374], [9788], [-50424], [-12412], [-6576], [-8264], [39426], [-4678], [17346], [19452], [4458], [-52520], [-10404], [-7566], [-44376], [27328], [-2774], [-36526], [-18438], [-39324], [-2990], [-58632], [45146], [-16928], [5274], [-36940], [16242], [6568], [-782], [25072], [25236], [-56270], [26346], [-2832], [-16326], [68506], [-51388], [-43750], [23760], [-29758], [11316], [76124], [3810], [-26244], [30282], [-47470], [7306], [-48174], [2952], [330], [-19232], [-14150], [36290], [30684], [-36750], [-64496], [-41748], [-4710], [-42100], [-20590], [-14454], [-18488], [-49428], [-20184], [27914], [-61904], [24882], [-45336], [-76566], [-5966], [49912], [68418], [-45056], [-54636], [-48350], [-16038], [45408], [-632], [69924], [-15590], [33860], [-92672], [-11238], [-11140], [-85008], [68450], [-8910], [3300], [-65592], [109692], [20492], [103816], [49354], [35778], [-48984], [40384], [-88188], [11540], [90912], [-15302], [49170], [-114408], [60026], [28482], [-30420], [-4766], [68828], [97914], [118298], [27472], [-30132], [78538], [133666], [52866], [89492], [-22806], [65562], [4628], [37458], [125314], [107660], [33098], [110416], [-8206], [-107336], [2196], [-135014], [99674], [-122124], [39072], [-83480], [46824], [-149558], [102044], [-79728], [44018], [30546], [135400], [-41646], [93546], [27636], [27786], [-57732], [-97238], [73794], [-33920], [-89286], [116796], [-55180], [-83446], [108858], [132784], [-2916], [-115036], [770], [53028], [-135566], [-72], [-52862], [-15408], [-67518], [122274], [-6820], [-57576], [116378], [111012], [132624], [-33310], [35922], [109412], [-9238], [-41262], [112672], [-54918], [52130], [55388], [-53908], [142944], [-79662], [-104054], [197706], [-112880], [-142956], [-186748], [145356], [170602], [-59118], [-46342], [30688], [-179342], [-34902], [-95286], [177640], [31722], [-15444], [-213446], [-162700], [80880], [11370], [-22444], [-95398], [-95862], [-155360], [193810], [206682], [-76464], [-168708], [-62958], [29208], [-40286], [-108630], [184560], [19428], [212228], [-90502], [108402], [-45224], [-2230], [-181476], [-155860], [108288], [28818], [207832], [2746], [-75948], [188448], [125858], [191922], [-61894], [-28638], [-59622], [106936], [-39966], [-80332], [35592], [-155216], [-182918], [49748], [151536], [-121150], [10362], [-89004], [-49948], [-142344], [60842], [-110576], [-67206], [-72220], [-140094], [-198398], [-258942], [74032], [113802], [-49014], [115768], [-20342], [242514], [-155164], [-149964], [100658], [-83646], [-33516], [12908], [108218], [-215406], [-212400], [157720], [120978], [102072], [-107958], [98218], [69504], [223356], [68042], [-170526], [113052], [-50262], [159068], [53736]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 13510798949221696, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '1344.4.a.d', 'level': 1344, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [10, 9, 8, 11, 8, 9, 10, 7], 'Nk2': 21504, 'analytic_conductor': 79.29856704771538, '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': [1344, 1, [127, 1093, 449, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 744, 'dim': 72, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 67110208, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '1344.4.a', 'level': 1344, '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': 792, 'mf_new_dim': 72, 'num_forms': 48, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1024, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 648, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 1976, 0, 0, 0, -400, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 944, 0, 0, 0, 0, 0, 0, 0, 3528, 0, 0, 0, 752, 0, 0, 0, 0, 0, 0, 0, -1824, 0, 0, 0, 3072, 0, 0, 0, -1056, 0, 0, 0, 592, 0, 0, 0, 1904, 0, 0, 0, 5832, 0, 0, 0, 480, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, 3632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6224, 0, 0, 0, 2160, 0, 0, 0, 0, 0, 0, 0, 11432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6736, 0, 0, 0, 5856, 0, 0, 0, -5120, 0, 0, 0, 5360, 0, 0, 0, -1872, 0, 0, 0, -9792, 0, 0, 0, -1120, 0, 0, 0, -8256, 0, 0, 0, 11064, 0, 0, 0, 16224, 0, 0, 0, 0, 0, 0, 0, 18432, 0, 0, 0, 3072, 0, 0, 0, 0, 0, 0, 0, -4144, 0, 0, 0, 16976, 0, 0, 0, 0, 0, 0, 0, 18720, 0, 0, 0, 0, 0, 0, 0, 16992, 0, 0, 0, 0, 0, 0, 0, 2400, 0, 0, 0, 17784, 0, 0, 0, 26688, 0, 0, 0, -15120, 0, 0, 0, 5568, 0, 0, 0, 25712, 0, 0, 0, 0, 0, 0, 0, 13632, 0, 0, 0, 5024, 0, 0, 0, 20240, 0, 0, 0, -3600, 0, 0, 0, 32384, 0, 0, 0, 25440, 0, 0, 0, 0, 0, 0, 0, 33552, 0, 0, 0, 1840, 0, 0, 0, 15936, 0, 0, 0, 16984, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -1680, 0, 0, 0, 22336, 0, 0, 0, 0, 0, 0, 0, 5808, 0, 0, 0, -25040, 0, 0, 0, -192, 0, 0, 0, -39040, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -27632, 0, 0, 0, -70720, 0, 0, 0, -9888, 0, 0, 0, 28224, 0, 0, 0, -35184, 0, 0, 0, 0, 0, 0, 0, -11032, 0, 0, 0, 7616, 0, 0, 0, 8496, 0, 0, 0, 5040, 0, 0, 0, -9216, 0, 0, 0, 33216, 0, 0, 0, -6048, 0, 0, 0, 35504, 0, 0, 0, 0, 0, 0, 0, -59968, 0, 0, 0, -69040, 0, 0, 0, 0, 0, 0, 0, -46928, 0, 0, 0, 20832, 0, 0, 0, -2976, 0, 0, 0, 36816, 0, 0, 0, -62384, 0, 0, 0, -45216, 0, 0, 0, 4592, 0, 0, 0, -15424, 0, 0, 0, 31752, 0, 0, 0, 57120, 0, 0, 0, 8240, 0, 0, 0, 0, 0, 0, 0, 48720, 0, 0, 0, -66720, 0, 0, 0, -27840, 0, 0, 0, 20720, 0, 0, 0, -6496, 0, 0, 0, 6768, 0, 0, 0, -76608, 0, 0, 0, 30656, 0, 0, 0, -28992, 0, 0, 0, -55776, 0, 0, 0, 19264, 0, 0, 0, 85056, 0, 0, 0, -25568, 0, 0, 0, -80800, 0, 0, 0, 0, 0, 0, 0, 22400, 0, 0, 0, 6960, 0, 0, 0, 0, 0, 0, 0, -10232, 0, 0, 0, -170464, 0, 0, 0, 0, 0, 0, 0, 83216, 0, 0, 0, -23744, 0, 0, 0, -16416, 0, 0, 0, -38752, 0, 0, 0, -90320, 0, 0, 0, -4320, 0, 0, 0, -99264, 0, 0, 0, 14000, 0, 0, 0, 23904, 0, 0, 0, 29840, 0, 0, 0, 0, 0, 0, 0, 27648, 0, 0, 0, -35968, 0, 0, 0, -62064, 0, 0, 0, 74688, 0, 0, 0, -89584, 0, 0, 0, -46464, 0, 0, 0, 0, 0, 0, 0, -214064, 0, 0, 0, -103024, 0, 0, 0, -9504, 0, 0, 0, 170344, 0, 0, 0, -219936, 0, 0, 0, 76416, 0, 0, 0, 0, 0, 0, 0, -12976, 0, 0, 0, -107424, 0, 0, 0, 72000, 0, 0, 0, -58800, 0, 0, 0, 5328, 0, 0, 0, 52896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25872, 0, 0, 0, 177952, 0, 0, 0, -89952, 0, 0, 0, 68800, 0, 0, 0, 8384, 0, 0, 0, 17136, 0, 0, 0, -77152, 0, 0, 0, -165424, 0, 0, 0, 61248, 0, 0, 0, -177712, 0, 0, 0, 32128, 0, 0, 0, -17568, 0, 0, 0, -16800, 0, 0, 0, -193008, 0, 0, 0, 52488, 0, 0, 0, -160096, 0, 0, 0, -177056, 0, 0, 0, -90240, 0, 0, 0, -21504, 0, 0, 0, -61936, 0, 0, 0, -13728, 0, 0, 0, 111568, 0, 0, 0, -35408, 0, 0, 0, 4320, 0, 0, 0, -33744, 0, 0, 0, 6016, 0, 0, 0, 31584, 0, 0, 0, -30688, 0, 0, 0, -194368, 0, 0, 0, 68064, 0, 0, 0, 21152, 0, 0, 0, -232672, 0, 0, 0, -1584, 0, 0, 0, -92064, 0, 0, 0, -51984, 0, 0, 0, -62592, 0, 0, 0, -57792, 0, 0, 0, -23824, 0, 0, 0, 0, 0, 0, 0, -134048, 0, 0, 0, -10192, 0, 0, 0, 0, 0, 0, 0, 101304, 0, 0, 0, 445568, 0, 0, 0, -6528, 0, 0, 0, 131328, 0, 0, 0, -7632, 0, 0, 0, 0, 0, 0, 0, -77920, 0, 0, 0, 331776, 0, 0, 0, 32688, 0, 0, 0, 191376, 0, 0, 0, -32880, 0, 0, 0, 292992, 0, 0, 0, -56000, 0, 0, 0, -12032, 0, 0, 0, 96, 0, 0, 0, 27744, 0, 0, 0, -75392, 0, 0, 0, 0, 0, 0, 0, -89280, 0, 0, 0, 0, 0, 0, 0, -2688, 0, 0, 0, 221840, 0, 0, 0, 35760, 0, 0, 0, -356256, 0, 0, 0, -119344, 0, 0, 0, 408704, 0, 0, 0, 0, 0, 0, 0, 224192, 0, 0, 0, -104752, 0, 0, 0, 114240, 0, 0, 0, 190408, 0, 0, 0, 411904, 0, 0, 0, -5184, 0, 0, 0, -74592, 0, 0, 0, 20464, 0, 0, 0, 56016, 0, 0, 0, -61888, 0, 0, 0, -117536, 0, 0, 0, -42816, 0, 0, 0, -118752, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 714347
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '84.4.a.a', 'target_level': 84, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 714348
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '252.4.a.b', 'target_level': 252, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 714349
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '336.4.a.k', 'target_level': 336, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 714350
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '588.4.a.d', 'target_level': 588, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '56.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 714351
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '588.4.i.c', 'target_level': 588, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 4}
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id: 714352
{'conductor': 56, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '588.4.i.f', 'target_level': 588, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 714353
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1008.4.a.h', 'target_level': 1008, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 714354
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1344.4.a.d', 'target_level': 1344, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 714355
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1344.4.a.q', 'target_level': 1344, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 714356
{'conductor': 168, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1764.4.a.j', 'target_level': 1764, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '168.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 714357
{'conductor': 168, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1764.4.k.f', 'target_level': 1764, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '168.be', 'twisting_char_orbit': 31, 'weight': 4}
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id: 714358
{'conductor': 168, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1764.4.k.l', 'target_level': 1764, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '168.v', 'twisting_char_orbit': 22, 'weight': 4}
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id: 714359
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2100.4.a.l', 'target_level': 2100, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 714360
{'conductor': 40, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2100.4.k.j', 'target_level': 2100, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '40.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 714361
{'conductor': 56, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '1344.4.a.d', 'source_level': 1344, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2352.4.a.d', 'target_level': 2352, 'twist_class_label': '84.4.a.a', 'twist_class_level': 84, 'twisting_char_label': '56.h', 'twisting_char_orbit': 8, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1882150
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 2}
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id: 1882151
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 3}
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id: 1882152
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 5}
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id: 1882153
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 7}
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id: 1882154
{'charpoly_factorization': [[[-36, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 11}
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id: 1882155
{'charpoly_factorization': [[[62, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 13}
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id: 1882156
{'charpoly_factorization': [[[-114, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 17}
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id: 1882157
{'charpoly_factorization': [[[76, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 19}
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id: 1882158
{'charpoly_factorization': [[[-24, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 23}
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id: 1882159
{'charpoly_factorization': [[[54, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 29}
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id: 1882160
{'charpoly_factorization': [[[-112, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 31}
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id: 1882161
{'charpoly_factorization': [[[-178, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 37}
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id: 1882162
{'charpoly_factorization': [[[-378, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 41}
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id: 1882163
{'charpoly_factorization': [[[172, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 43}
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id: 1882164
{'charpoly_factorization': [[[-192, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 47}
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id: 1882165
{'charpoly_factorization': [[[-402, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 53}
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id: 1882166
{'charpoly_factorization': [[[-396, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 59}
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id: 1882167
{'charpoly_factorization': [[[254, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 61}
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id: 1882168
{'charpoly_factorization': [[[1012, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 67}
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id: 1882169
{'charpoly_factorization': [[[840, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 71}
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id: 1882170
{'charpoly_factorization': [[[-890, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 73}
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id: 1882171
{'charpoly_factorization': [[[80, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 79}
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id: 1882172
{'charpoly_factorization': [[[108, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 83}
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id: 1882173
{'charpoly_factorization': [[[1638, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 89}
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id: 1882174
{'charpoly_factorization': [[[-1010, 1], 1]], 'hecke_orbit_code': 13510798949221696, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '1344.4.a.d', 'level': 1344, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 34859131
{'hecke_orbit_code': 13510798949221696, 'n': 1, 'trace_an': 1}
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id: 34859132
{'hecke_orbit_code': 13510798949221696, 'n': 2, 'trace_an': 0}
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id: 34859133
{'hecke_orbit_code': 13510798949221696, 'n': 3, 'trace_an': -3}
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id: 34859134
{'hecke_orbit_code': 13510798949221696, 'n': 4, 'trace_an': 0}
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id: 34859135
{'hecke_orbit_code': 13510798949221696, 'n': 5, 'trace_an': -6}
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id: 34859136
{'hecke_orbit_code': 13510798949221696, 'n': 6, 'trace_an': 0}
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id: 34859137
{'hecke_orbit_code': 13510798949221696, 'n': 7, 'trace_an': -7}
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id: 34859138
{'hecke_orbit_code': 13510798949221696, 'n': 8, 'trace_an': 0}
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id: 34859139
{'hecke_orbit_code': 13510798949221696, 'n': 9, 'trace_an': 9}
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id: 34859140
{'hecke_orbit_code': 13510798949221696, 'n': 10, 'trace_an': 0}
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id: 34859141
{'hecke_orbit_code': 13510798949221696, 'n': 11, 'trace_an': 36}
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id: 34859142
{'hecke_orbit_code': 13510798949221696, 'n': 12, 'trace_an': 0}
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