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{'Nk2': 34560, 'analytic_conductor': 127.44412561239973, 'analytic_rank': 0, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2160, 1, [271, 1621, 2081, 1297], [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, [-34, 1]], [11, [48, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532396713445488, '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': '2160.4.a.j', 'level': 2160, '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': '270.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-5q^{5}+34q^{7}-48q^{11}-70q^{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': '2160.4.a', 'trace_display': [0, 0, -5, 34], 'trace_hash': 1335303836113161298, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.035', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.995', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.103', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.021', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.326', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.099', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [1, 0, 0, 0, -5, 0, 34, 0, 0, 0, -48, 0, -70, 0, 0, 0, 27, 0, -119, 0, 0, 0, -51, 0, 25, 0, 0, 0, 30, 0, 133, 0, 0, 0, -170, 0, 218, 0, 0, 0, -156, 0, 88, 0, 0, 0, -516, 0, 813, 0, 0, 0, 639, 0, 240, 0, 0, 0, -654, 0, 461, 0, 0, 0, 350, 0, -182, 0, 0, 0, 900, 0, 704, 0, 0, 0, -1632, 0, 1375, 0, 0, 0, 915, 0, -135, 0, 0, 0, 1116, 0, -2380, 0, 0, 0, 595, 0, -16, 0, 0, 0, -348, 0, 412, 0, 0, 0, -900, 0, -115, 0, 0, 0, -966, 0, 255, 0, 0, 0, 918, 0, 973, 0, 0, 0, -125, 0, -1406, 0, 0, 0, 246, 0, -4046, 0, 0, 0, -519, 0, -1316, 0, 0, 0, 3360, 0, -150, 0, 0, 0, -372, 0, 1456, 0, 0, 0, -665, 0, 956, 0, 0, 0, -1734, 0, 2446, 0, 0, 0, -3111, 0, 2703, 0, 0, 0, 2397, 0, 850, 0, 0, 0, -540, 0, 2333, 0, 0, 0, -1090, 0, -1296, 0, 0, 0, -2730, 0, -4570, 0, 0, 0, -675, 0, 3112, 0, 0, 0, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1], [0], [0], [0], [-5], [0], [34], [0], [0], [0], [-48], [0], [-70], [0], [0], [0], [27], [0], [-119], [0], [0], [0], [-51], [0], [25], [0], [0], [0], [30], [0], [133], [0], [0], [0], [-170], [0], [218], [0], [0], [0], [-156], [0], [88], [0], [0], [0], [-516], [0], [813], [0], [0], [0], [639], [0], [240], [0], [0], [0], [-654], [0], [461], [0], [0], [0], [350], [0], [-182], [0], [0], [0], [900], [0], [704], [0], [0], [0], [-1632], [0], [1375], [0], [0], [0], [915], [0], [-135], [0], [0], [0], [1116], [0], [-2380], [0], [0], [0], [595], [0], [-16], [0], [0], [0]], 'ap': [[0], [0], [-5], [34], [-48], [-70], [27], [-119], [-51], [30], [133], [218], [-156], [88], [-516], [639], [-654], [461], [-182], [900], [704], [1375], [915], [1116], [-16], [-348], [412], [-900], [-115], [-966], [-1406], [246], [-519], [-1316], [-372], [1456], [956], [2446], [-3111], [2397], [-540], [2333], [-2730], [-4570], [-675], [3112], [-2441], [3418], [-4377], [4187], [1098], [6474], [3251], [1728], [5469], [-3216], [8010], [3805], [3224], [4530], [3292], [7953], [5290], [5358], [5600], [-7341], [-380], [434], [8004], [1109], [7662], [-8478], [-13286], [3080], [-10109], [-8727], [2712], [-8818], [-3306], [6401], [-2256], [1811], [-5454], [2990], [-9371], [6171], [-4122], [7076], [-762], [-8822], [-4977], [10104], [-14924], [1146], [14965], [15525], [8196], [-4932], [5938], [-6730], [17656], [-7974], [-25332], [1038], [-15671], [-916], [9141], [-5247], [-24162], [14357], [-3152], [4592], [7359], [15712], [3175], [-96], [18070], [1341], [24495], [-12378], [-24442], [2378], [-5478], [8595], [31615], [-29790], [3818], [-28314], [-56], [-34432], [1051], [39144], [1735], [6698], [-38766], [23501], [3591], [20716], [42981], [2268], [-11756], [-8646], [-10784], [42597], [-26458], [-11496], [21548], [-6261], [3355], [19701], [16292], [-9270], [-38486], [1893], [-44876], [23802], [24784], [-9060], [6176], [4182], [44079], [-12726], [-45218], [-3978], [-23466], [47913], [-31997], [-45628], [27299], [-8679], [31596], [-45313], [-39894], [53804], [11275], [21462], [-25715], [63306], [43612], [56882], [2608], [9384], [-35134], [-58698], [29595], [10236], [-47734], [-5384], [53273], [7254], [-57202], [43845], [6271], [-3336], [1323], [46725], [72677], [-48544], [40746], [10584], [62196], [21868], [-5650], [-37285], [18882], [-15642], [-1820], [42987], [-37140], [13228], [21098], [-18264], [-33320], [2076], [54588], [57917], [-26444], [-14568], [53973], [-29793], [-42982], [-28451], [86226], [47140], [11487], [-70369], [52293], [-67860], [-26822], [42612], [-49480], [-22223], [4768], [76974], [-8102], [53727], [19865], [45045], [-65994], [-108576], [-53940], [107485], [-88958], [-6667], [38310], [-97914], [448], [-3066], [-26732], [-22149], [5690], [-93798], [-63285], [-56671], [99651], [57744], [-27511], [33046], [90099], [2918], [37924], [52017], [-81493], [95276], [60045], [87532], [-85896], [69510], [-57206], [-56406], [128639], [-41366], [10964], [-42491], [-85048], [24622], [-130119], [90461], [6977], [-33708], [-33576], [96505], [-28911], [-144421], [33028], [88110], [72218], [73086], [63691], [-62136], [-44952], [127521], [-75810], [-126942], [51140], [10860], [-148619], [138882], [-8568], [29266], [134804], [142119], [156688], [15123], [-11981], [-33244], [-17220], [75107], [-133656], [-70252], [-46461], [-138636], [3576], [77002], [60471], [-87757], [-136920], [142140], [162146], [-104754], [19411], [-29608], [21420], [-103880], [-71133], [-92770], [-19037], [-151040], [-8040], [-71127], [-120310], [-46074], [44728], [-165612], [-4160], [-58860], [-135025], [52755], [-192202], [-178904], [-180592], [-81033], [216546], [-95573], [58098], [-105516], [-4129], [-173900], [101508], [204489], [48292], [-127978], [-11946], [145960], [-36430], [-27621], [-139542], [23094], [110994], [12273], [13322], [-45006], [-91440], [-8058], [42172], [63146], [-166281], [166966], [26642], [-182406], [148777], [79527], [44616], [-98219], [-242368], [176934], [-127890], [-84328], [-230094], [8750], [-156588], [66093], [-60374], [217119], [-33500], [140508], [53647], [67034], [-51032], [215616], [-224710], [-41613], [157374], [117466], [255066], [-146860], [177379], [238350], [-91217], [-90732], [-164950], [70218], [196126], [-35670], [254142], [-113375], [126614], [150330], [70828], [-44310], [-40138], [-184155], [126765], [86857], [57602], [-47286], [23670], [-209072], [55125], [34023], [122844], [192962], [112911], [-88206], [-136402], [-66063], [36465], [243018], [-92045], [-169860]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 40532396713445488, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '2160.4.a.j', 'level': 2160, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [11, 11, 13, 13, 11, 13, 13, 11], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [9, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [152, 141, 141, 148, 147, 144, 142, 149], 'Nk2': 34560, 'analytic_conductor': 127.44412561239973, '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': [2160, 1, [271, 1621, 2081, 1297], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1260, 'dim': 96, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 67111024, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4], 'label': '2160.4.a', 'level': 2160, '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': 1332, 'mf_new_dim': 96, 'num_forms': 48, 'plus_dim': 50, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 1728, 'trace_bound': 11, 'trace_display': [0, 0, 0, 36], 'traces': [96, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 2400, 0, 0, 0, 0, 0, 348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -672, 0, 0, 0, 0, 0, 4344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -456, 0, 0, 0, 0, 0, -2508, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, -1920, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -3588, 0, 0, 0, 0, 0, 792, 0, 0, 0, 0, 0, 2124, 0, 0, 0, 0, 0, 696, 0, 0, 0, 0, 0, -1140, 0, 0, 0, 0, 0, 12552, 0, 0, 0, 0, 0, -3144, 0, 0, 0, 0, 0, 2064, 0, 0, 0, 0, 0, -5268, 0, 0, 0, 0, 0, 360, 0, 0, 0, 0, 0, -9084, 0, 0, 0, 0, 0, 912, 0, 0, 0, 0, 0, 12396, 0, 0, 0, 0, 0, 21168, 0, 0, 0, 0, 0, 900, 0, 0, 0, 0, 0, 2184, 0, 0, 0, 0, 0, 2016, 0, 0, 0, 0, 0, -3048, 0, 0, 0, 0, 0, 4092, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4560, 0, 0, 0, 0, 0, 1200, 0, 0, 0, 0, 0, -13704, 0, 0, 0, 0, 0, 7176, 0, 0, 0, 0, 0, 5280, 0, 0, 0, 0, 0, -6816, 0, 0, 0, 0, 0, 11388, 0, 0, 0, 0, 0, 30624, 0, 0, 0, 0, 0, 48660, 0, 0, 0, 0, 0, -2640, 0, 0, 0, 0, 0, -2112, 0, 0, 0, 0, 0, 23952, 0, 0, 0, 0, 0, -44736, 0, 0, 0, 0, 0, 20040, 0, 0, 0, 0, 0, 2520, 0, 0, 0, 0, 0, 7440, 0, 0, 0, 0, 0, 13272, 0, 0, 0, 0, 0, 9048, 0, 0, 0, 0, 0, 67992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30588, 0, 0, 0, 0, 0, 4920, 0, 0, 0, 0, 0, 7572, 0, 0, 0, 0, 0, -12264, 0, 0, 0, 0, 0, -1080, 0, 0, 0, 0, 0, 23976, 0, 0, 0, 0, 0, -13020, 0, 0, 0, 0, 0, -21408, 0, 0, 0, 0, 0, -12408, 0, 0, 0, 0, 0, -18240, 0, 0, 0, 0, 0, 109476, 0, 0, 0, 0, 0, -9360, 0, 0, 0, 0, 0, 87384, 0, 0, 0, 0, 0, -576, 0, 0, 0, 0, 0, -4740, 0, 0, 0, 0, 0, -25944, 0, 0, 0, 0, 0, -45132, 0, 0, 0, 0, 0, 31968, 0, 0, 0, 0, 0, -39180, 0, 0, 0, 0, 0, 5520, 0, 0, 0, 0, 0, 58272, 0, 0, 0, 0, 0, 15840, 0, 0, 0, 0, 0, 99540, 0, 0, 0, 0, 0, -54432, 0, 0, 0, 0, 0, 4800, 0, 0, 0, 0, 0, 19992, 0, 0, 0, 0, 0, -26820, 0, 0, 0, 0, 0, -65376, 0, 0, 0, 0, 0, -122484, 0, 0, 0, 0, 0, -3240, 0, 0, 0, 0, 0, -126588, 0, 0, 0, 0, 0, -43680, 0, 0, 0, 0, 0, 1476, 0, 0, 0, 0, 0, 45240, 0, 0, 0, 0, 0, 30840, 0, 0, 0, 0, 0, -45600, 0, 0, 0, 0, 0, 138132, 0, 0, 0, 0, 0, 36120, 0, 0, 0, 0, 0, -29448, 0, 0, 0, 0, 0, 29760, 0, 0, 0, 0, 0, -97680, 0, 0, 0, 0, 0, 19896, 0, 0, 0, 0, 0, -134304, 0, 0, 0, 0, 0, 8856, 0, 0, 0, 0, 0, -840, 0, 0, 0, 0, 0, 11832, 0, 0, 0, 0, 0, 151452, 0, 0, 0, 0, 0, -106368, 0, 0, 0, 0, 0, 185172, 0, 0, 0, 0, 0, 60000, 0, 0, 0, 0, 0, 7800, 0, 0, 0, 0, 0, 29904, 0, 0, 0, 0, 0, -127800, 0, 0, 0, 0, 0, 18288, 0, 0, 0, 0, 0, -28800, 0, 0, 0, 0, 0, -9360, 0, 0, 0, 0, 0, 85272, 0, 0, 0, 0, 0, -2376, 0, 0, 0, 0, 0, 120804, 0, 0, 0, 0, 0, 23880, 0, 0, 0, 0, 0, 43428, 0, 0, 0, 0, 0, -39936, 0, 0, 0, 0, 0, -24828, 0, 0, 0, 0, 0, 49728, 0, 0, 0, 0, 0, 12600, 0, 0, 0, 0, 0, 44952, 0, 0, 0, 0, 0, -100272, 0, 0, 0, 0, 0, -47904, 0, 0, 0, 0, 0, 117636, 0, 0, 0, 0, 0, -14040, 0, 0, 0, 0, 0, 120480, 0, 0, 0, 0, 0, -31632, 0, 0, 0, 0, 0, 35088, 0, 0, 0, 0, 0, -28992, 0, 0, 0, 0, 0, 8700, 0, 0, 0, 0, 0, -214176, 0, 0, 0, 0, 0, -347604, 0, 0, 0, 0, 0, -213720, 0, 0, 0, 0, 0, -111912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -35040, 0, 0, 0, 0, 0, -80736, 0, 0, 0, 0, 0, 85860, 0, 0, 0, 0, 0, 65760, 0, 0, 0, 0, 0, 34020, 0, 0, 0, 0, 0, -16728, 0, 0, 0, 0, 0, -12348, 0, 0, 0, 0, 0, -22800, 0, 0, 0, 0, 0, -152832, 0, 0, 0, 0, 0, 38400, 0, 0, 0, 0, 0, -248724, 0, 0, 0, 0, 0, -120192, 0, 0, 0, 0, 0, -109044, 0, 0, 0, 0, 0, 138096, 0, 0, 0, 0, 0, 78360, 0, 0, 0, 0, 0, -26328, 0, 0, 0, 0, 0, 128076, 0, 0, 0, 0, 0, -47424, 0, 0, 0, 0, 0, 36408, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -420492, 0, 0, 0, 0, 0, -36312, 0, 0, 0, 0, 0, -313536, 0, 0, 0, 0, 0, 23376, 0, 0, 0, 0, 0, 15480, 0, 0, 0, 0, 0, -69480, 0, 0, 0, 0, 0, 20028, 0, 0, 0, 0, 0, 92592, 0, 0, 0, 0, 0, 35280, 0, 0, 0, 0, 0, 68640, 0, 0, 0, 0, 0, -285816, 0, 0, 0, 0, 0, 155088, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 886439
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2160.4.a.j', 'source_level': 2160, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '270.4.a.a', 'target_level': 270, 'twist_class_label': '270.4.a.a', 'twist_class_level': 270, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 886440
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2160.4.a.j', 'source_level': 2160, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '270.4.a.k', 'target_level': 270, 'twist_class_label': '270.4.a.a', 'twist_class_level': 270, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 886441
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2160.4.a.j', 'source_level': 2160, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '810.4.e.d', 'target_level': 810, 'twist_class_label': '270.4.a.a', 'twist_class_level': 270, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 886442
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2160.4.a.j', 'source_level': 2160, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '810.4.e.x', 'target_level': 810, 'twist_class_label': '270.4.a.a', 'twist_class_level': 270, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 886443
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2160.4.a.j', 'source_level': 2160, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1350.4.a.n', 'target_level': 1350, 'twist_class_label': '270.4.a.a', 'twist_class_level': 270, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 886444
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2160.4.a.j', 'source_level': 2160, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '1350.4.a.bb', 'target_level': 1350, 'twist_class_label': '270.4.a.a', 'twist_class_level': 270, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 886445
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2160.4.a.j', 'source_level': 2160, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1350.4.c.c', 'target_level': 1350, 'twist_class_label': '270.4.a.a', 'twist_class_level': 270, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 886446
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2160.4.a.j', 'source_level': 2160, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1350.4.c.r', 'target_level': 1350, 'twist_class_label': '270.4.a.a', 'twist_class_level': 270, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 886447
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2160.4.a.j', 'source_level': 2160, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '2160.4.a.j', 'target_level': 2160, 'twist_class_label': '270.4.a.a', 'twist_class_level': 270, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 886448
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '2160.4.a.j', 'source_level': 2160, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2160.4.a.t', 'target_level': 2160, 'twist_class_label': '270.4.a.a', 'twist_class_level': 270, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2463575
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 2}
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id: 2463576
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 3}
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id: 2463577
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 5}
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id: 2463578
{'charpoly_factorization': [[[-34, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 7}
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id: 2463579
{'charpoly_factorization': [[[48, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 11}
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id: 2463580
{'charpoly_factorization': [[[70, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 13}
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id: 2463581
{'charpoly_factorization': [[[-27, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 17}
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id: 2463582
{'charpoly_factorization': [[[119, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 19}
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id: 2463583
{'charpoly_factorization': [[[51, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 23}
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id: 2463584
{'charpoly_factorization': [[[-30, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 29}
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id: 2463585
{'charpoly_factorization': [[[-133, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 31}
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id: 2463586
{'charpoly_factorization': [[[-218, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 37}
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id: 2463587
{'charpoly_factorization': [[[156, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 41}
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id: 2463588
{'charpoly_factorization': [[[-88, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 43}
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id: 2463589
{'charpoly_factorization': [[[516, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 47}
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id: 2463590
{'charpoly_factorization': [[[-639, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 53}
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id: 2463591
{'charpoly_factorization': [[[654, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 59}
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id: 2463592
{'charpoly_factorization': [[[-461, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 61}
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id: 2463593
{'charpoly_factorization': [[[182, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 67}
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id: 2463594
{'charpoly_factorization': [[[-900, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 71}
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id: 2463595
{'charpoly_factorization': [[[-704, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 73}
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id: 2463596
{'charpoly_factorization': [[[-1375, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 79}
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id: 2463597
{'charpoly_factorization': [[[-915, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 83}
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id: 2463598
{'charpoly_factorization': [[[-1116, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 89}
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id: 2463599
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 40532396713445488, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 10, 'label': '2160.4.a.j', 'level': 2160, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 53619085
{'hecke_orbit_code': 40532396713445488, 'n': 1, 'trace_an': 1}
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id: 53619086
{'hecke_orbit_code': 40532396713445488, 'n': 2, 'trace_an': 0}
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id: 53619087
{'hecke_orbit_code': 40532396713445488, 'n': 3, 'trace_an': 0}
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id: 53619088
{'hecke_orbit_code': 40532396713445488, 'n': 4, 'trace_an': 0}
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id: 53619089
{'hecke_orbit_code': 40532396713445488, 'n': 5, 'trace_an': -5}
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id: 53619090
{'hecke_orbit_code': 40532396713445488, 'n': 6, 'trace_an': 0}
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id: 53619091
{'hecke_orbit_code': 40532396713445488, 'n': 7, 'trace_an': 34}
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id: 53619092
{'hecke_orbit_code': 40532396713445488, 'n': 8, 'trace_an': 0}
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id: 53619093
{'hecke_orbit_code': 40532396713445488, 'n': 9, 'trace_an': 0}
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id: 53619094
{'hecke_orbit_code': 40532396713445488, 'n': 10, 'trace_an': 0}
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id: 53619095
{'hecke_orbit_code': 40532396713445488, 'n': 11, 'trace_an': -48}
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id: 53619096
{'hecke_orbit_code': 40532396713445488, 'n': 12, 'trace_an': 0}
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id: 53619097
{'hecke_orbit_code': 40532396713445488, 'n': 13, 'trace_an': -70}
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id: 53619098
{'hecke_orbit_code': 40532396713445488, 'n': 14, 'trace_an': 0}
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id: 53619099
{'hecke_orbit_code': 40532396713445488, 'n': 15, 'trace_an': 0}
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id: 53619100
{'hecke_orbit_code': 40532396713445488, 'n': 16, 'trace_an': 0}
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id: 53619101
{'hecke_orbit_code': 40532396713445488, 'n': 17, 'trace_an': 27}
-
id: 53619102
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