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mf_newforms • Show schema
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{'Nk2': 512, 'analytic_conductor': 1.8880611201836996, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 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': [32, 1, [31, 5], [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': [[3, [-8, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321849888, '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': True, 'label': '32.4.a.c', 'level': 32, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '32.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+8q^{3}-10q^{5}+2^{4}q^{7}+37q^{9}-40q^{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': '32.4.a', 'trace_display': [0, 8, -10, 16], 'trace_hash': 1421853197891527038, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.988', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.056', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.933', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.136', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.714', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 'traces': [1, 0, 8, 0, -10, 0, 16, 0, 37, 0, -40, 0, -50, 0, -80, 0, -30, 0, 40, 0, 128, 0, 48, 0, -25, 0, 80, 0, -34, 0, 320, 0, -320, 0, -160, 0, 310, 0, -400, 0, 410, 0, 152, 0, -370, 0, -416, 0, -87, 0, -240, 0, -410, 0, 400, 0, 320, 0, -200, 0, 30, 0, 592, 0, 500, 0, 776, 0, 384, 0, 400, 0, -630, 0, -200, 0, -640, 0, -1120, 0, -359, 0, 552, 0, 300, 0, -272, 0, -326, 0, -800, 0, 2560, 0, -400, 0, -110, 0, -1480, 0, -1098, 0, -48, 0, -1280, 0, 664, 0, -370, 0, 2480, 0, 1490, 0, -480, 0, -1850, 0, -480, 0, 269, 0, 3280, 0, 1500, 0, -1024, 0, 1216, 0, 1160, 0, 640, 0, -800, 0, 570, 0, -1960, 0, -3328, 0, 2000, 0, 340, 0, -696, 0, -2010, 0, -720, 0, -1110, 0, -3200, 0, 1790, 0, -3280, 0, 768, 0, -1208, 0, 3200, 0, 2896, 0, 303, 0, 1480, 0, 750, 0, -400, 0, -1600, 0, 2280, 0, -442, 0, 240, 0, -3100, 0, 1200, 0, 1280, 0, -1920, 0, -5070, 0, 4000, 0, 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24800, 0], 'weight': 4, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [8], [0], [-10], [0], [16], [0], [37], [0], [-40], [0], [-50], [0], [-80], [0], [-30], [0], [40], [0], [128], [0], [48], [0], [-25], [0], [80], [0], [-34], [0], [320], [0], [-320], [0], [-160], [0], [310], [0], [-400], [0], [410], [0], [152], [0], [-370], [0], [-416], [0], [-87], [0], [-240], [0], [-410], [0], [400], [0], [320], [0], [-200], [0], [30], [0], [592], [0], [500], [0], [776], [0], [384], [0], [400], [0], [-630], [0], [-200], [0], [-640], [0], [-1120], [0], [-359], [0], [552], [0], [300], [0], [-272], [0], [-326], [0], [-800], [0], [2560], [0], [-400], [0], [-110], [0], [-1480], [0]], 'ap': [[0], [8], [-10], [16], [-40], [-50], [-30], [40], [48], [-34], [320], [310], [410], [152], [-416], [-410], [-200], [30], [776], [400], [-630], [-1120], [552], [-326], [-110], [-1098], [-48], [664], [-370], [1490], [-1024], [1160], [570], [-1960], [-2010], [-720], [1790], [-1208], [2896], [750], [2280], [-442], [-1920], [-5070], [1910], [2960], [40], [4288], [-6456], [-1066], [-5910], [-3360], [3970], [6840], [4610], [-4848], [5550], [-480], [1030], [-3270], [2168], [2070], [1896], [-1680], [970], [7230], [-5800], [-1870], [376], [-7586], [2530], [9680], [2784], [7910], [1720], [11008], [-12330], [-4370], [3298], [-9110], [7880], [-5290], [13920], [4930], [-10640], [-9288], [12850], [10490], [11118], [5792], [2216], [-10560], [13264], [-4840], [19560], [-528], [-19554], [15162], [10968], [-6722], [20424], [-6610], [-2712], [3530], [-13640], [-6270], [-8616], [5490], [-15440], [8890], [23744], [-15210], [-12630], [11160], [13040], [-16910], [4488], [2064], [4270], [-19800], [27110], [32210], [27190], [-20328], [12520], [11550], [-34154], [-22880], [10416], [14750], [-2360], [32208], [-36640], [-12090], [-3318], [11506], [22230], [-21336], [-7170], [-23654], [-30440], [-19930], [-9872], [-5704], [27230], [-18800], [-12090], [-470], [24440], [-22592], [-17330], [-31470], [-3352], [-48144], [16216], [49440], [-16080], [-11310], [25130], [-22322], [36456], [40650], [34704], [-30760], [-38110], [19632], [-47680], [-39690]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199321849888, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '32.4.a.c', 'level': 32, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [2, 1], 'ALdims_eis_new': [0, 0], 'ALdims_eis_old': [4, 4], 'ALdims_old': [3, 2], 'Nk2': 512, 'analytic_conductor': 1.8880611201836996, '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': [32, 1, [31, 5], [1, 1]], 'conrey_index': 1, 'cusp_dim': 8, 'dim': 3, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 67108896, 'hecke_orbit_dims': [1, 1, 1], 'label': '32.4.a', 'level': 32, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 16, 'mf_new_dim': 3, 'num_forms': 3, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 3, 'sturm_bound': 16, 'trace_bound': 3, 'trace_display': [0, 0, 2, 0], 'traces': [3, 0, 0, 0, 2, 0, 0, 0, 47, 0, 0, 0, -118, 0, 0, 0, -154, 0, 0, 0, 256, 0, 0, 0, 309, 0, 0, 0, -198, 0, 0, 0, -640, 0, 0, 0, 834, 0, 0, 0, 590, 0, 0, 0, -1334, 0, 0, 0, -517, 0, 0, 0, -302, 0, 0, 0, 640, 0, 0, 0, 890, 0, 0, 0, 604, 0, 0, 0, 768, 0, 0, 0, -162, 0, 0, 0, -1280, 0, 0, 0, 11, 0, 0, 0, -1468, 0, 0, 0, -2322, 0, 0, 0, 5120, 0, 0, 0, 374, 0, 0, 0, -1598, 0, 0, 0, -2560, 0, 0, 0, -2486, 0, 0, 0, 4982, 0, 0, 0, -3214, 0, 0, 0, -793, 0, 0, 0, 8148, 0, 0, 0, 2432, 0, 0, 0, 1280, 0, 0, 0, -466, 0, 0, 0, -6656, 0, 0, 0, -2180, 0, 0, 0, -7534, 0, 0, 0, 318, 0, 0, 0, 3866, 0, 0, 0, 1536, 0, 0, 0, 6400, 0, 0, 0, -1267, 0, 0, 0, -2582, 0, 0, 0, -3200, 0, 0, 0, 3058, 0, 0, 0, -1492, 0, 0, 0, 2560, 0, 0, 0, -4778, 0, 0, 0, 4994, 0, 0, 0, 12416, 0, 0, 0, -13260, 0, 0, 0, -3200, 0, 0, 0, 6400, 0, 0, 0, 10240, 0, 0, 0, 4692, 0, 0, 0, -11543, 0, 0, 0, 4258, 0, 0, 0, -12418, 0, 0, 0, -17920, 0, 0, 0, 2630, 0, 0, 0, -5806, 0, 0, 0, 8832, 0, 0, 0, -3840, 0, 0, 0, 7686, 0, 0, 0, 994, 0, 0, 0, 19596, 0, 0, 0, 14506, 0, 0, 0, -12800, 0, 0, 0, 11186, 0, 0, 0, -13970, 0, 0, 0, -6400, 0, 0, 0, -4103, 0, 0, 0, -5278, 0, 0, 0, -6400, 0, 0, 0, 4864, 0, 0, 0, 17660, 0, 0, 0, -768, 0, 0, 0, -4898, 0, 0, 0, 4186, 0, 0, 0, 10624, 0, 0, 0, -3962, 0, 0, 0, -13312, 0, 0, 0, 17162, 0, 0, 0, -16106, 0, 0, 0, -25600, 0, 0, 0, -7680, 0, 0, 0, -5702, 0, 0, 0, 8358, 0, 0, 0, -7680, 0, 0, 0, -17377, 0, 0, 0, 36756, 0, 0, 0, 36550, 0, 0, 0, 2898, 0, 0, 0, 5740, 0, 0, 0, -16384, 0, 0, 0, 12800, 0, 0, 0, -24286, 0, 0, 0, 18560, 0, 0, 0, 874, 0, 0, 0, 4198, 0, 0, 0, 23218, 0, 0, 0, -11074, 0, 0, 0, -6400, 0, 0, 0, -31360, 0, 0, 0, -21470, 0, 0, 0, -32246, 0, 0, 0, 32000, 0, 0, 0, 4998, 0, 0, 0, 3840, 0, 0, 0, 2823, 0, 0, 0, -30220, 0, 0, 0, 41814, 0, 0, 0, -11520, 0, 0, 0, 37486, 0, 0, 0, 24554, 0, 0, 0, -51200, 0, 0, 0, 24832, 0, 0, 0, -12160, 0, 0, 0, -44326, 0, 0, 0, -34852, 0, 0, 0, 15268, 0, 0, 0, -19328, 0, 0, 0, 14260, 0, 0, 0, 12800, 0, 0, 0, 46336, 0, 0, 0, 35116, 0, 0, 0, -24838, 0, 0, 0, 6400, 0, 0, 0, 33280, 0, 0, 0, 54062, 0, 0, 0, -6400, 0, 0, 0, -31893, 0, 0, 0, -36860, 0, 0, 0, 36480, 0, 0, 0, -19366, 0, 0, 0, -31012, 0, 0, 0, -20190, 0, 0, 0, -35840, 0, 0, 0, -21846, 0, 0, 0, 19200, 0, 0, 0, 14244, 0, 0, 0, -19746, 0, 0, 0, -30720, 0, 0, 0, -15994, 0, 0, 0, 17664, 0, 0, 0, 47692, 0, 0, 0, 25600, 0, 0, 0, -4522, 0, 0, 0, 47360, 0, 0, 0, 750, 0, 0, 0, -34662, 0, 0, 0, -8704, 0, 0, 0, -7198, 0, 0, 0, -9794, 0, 0, 0, 7680, 0, 0, 0, 44631, 0, 0, 0, -38716, 0, 0, 0, 640, 0, 0, 0, 14874, 0, 0, 0, -4970, 0, 0, 0, -24320, 0, 0, 0, 16000, 0, 0, 0, 41898, 0, 0, 0, -76266, 0, 0, 0, 28370, 0, 0, 0, -12800, 0, 0, 0, 68608, 0, 0, 0, 59958, 0, 0, 0, 58434, 0, 0, 0, -103296, 0, 0, 0, -46732, 0, 0, 0, 31676, 0, 0, 0, -47360, 0, 0, 0, -2980, 0, 0, 0, 43130, 0, 0, 0, 66560, 0, 0, 0, -105118, 0, 0, 0, 30720, 0, 0, 0, -53760, 0, 0, 0, -1536, 0, 0, 0, -44970, 0, 0, 0, -80809, 0, 0, 0, 68218, 0, 0, 0, -62080, 0, 0, 0, -32000, 0, 0, 0, -37108, 0, 0, 0, 21248, 0, 0, 0, 109440, 0, 0, 0, 10866, 0, 0, 0, 25246, 0, 0, 0, 78036, 0, 0, 0, 32662, 0, 0, 0, 84002, 0, 0, 0, 79360, 0, 0, 0, -32000, 0, 0, 0, -29508, 0, 0, 0, -77568, 0, 0, 0, -17940, 0, 0, 0, -56294, 0, 0, 0, 20966, 0, 0, 0, -15360, 0, 0, 0, -70578, 0, 0, 0, -7680, 0, 0, 0, 12160, 0, 0, 0, -41710, 0, 0, 0, 16000, 0, 0, 0, 77626, 0, 0, 0, 37462, 0, 0, 0, 51200, 0, 0, 0, -53955, 0, 0, 0, -47266, 0, 0, 0, 34688, 0, 0, 0, -44558, 0, 0, 0, 45054, 0, 0, 0, 104960, 0, 0, 0, -104804, 0, 0, 0, 89600, 0, 0, 0, -24178, 0, 0, 0, -77174, 0, 0, 0, -70090, 0, 0, 0, 32000, 0, 0, 0, -32768, 0, 0, 0, -33280, 0, 0, 0, -38400, 0, 0, 0, -24092, 0, 0, 0, 95564, 0, 0, 0, -97398, 0, 0, 0, -44160, 0, 0, 0, 37120, 0, 0, 0, 30336, 0, 0, 0, 61326, 0, 0, 0, 8246, 0, 0, 0, -26880, 0, 0, 0, 102206, 0, 0, 0, -76022, 0, 0, 0, -25600, 0, 0, 0, 43236, 0, 0, 0, 24542, 0, 0, 0, 21760, 0, 0, 0, 115427, 0, 0, 0, 219364, 0, 0, 0, -19200, 0, 0, 0, -62720, 0, 0, 0, -132826, 0, 0, 0, 19762, 0, 0, 0, -12372, 0, 0, 0, 14592, 0, 0, 0, -92800, 0, 0, 0, -26494, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 25390
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '32.4.a.a', 'target_level': 32, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 25391
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '32.4.a.c', 'target_level': 32, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 25392
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '64.4.a.a', 'target_level': 64, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 25393
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '64.4.a.e', 'target_level': 64, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 25394
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '256.4.b.c', 'target_level': 256, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 25395
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '256.4.b.e', 'target_level': 256, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 25396
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '288.4.a.h', 'target_level': 288, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 25397
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '288.4.a.i', 'target_level': 288, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 25398
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '576.4.a.g', 'target_level': 576, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 25399
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '576.4.a.h', 'target_level': 576, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 25400
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '800.4.a.a', 'target_level': 800, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 25401
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '800.4.a.k', 'target_level': 800, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 25402
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '800.4.c.a', 'target_level': 800, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 25403
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '800.4.c.b', 'target_level': 800, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 25404
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1568.4.a.c', 'target_level': 1568, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 25405
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '1568.4.a.o', 'target_level': 1568, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 25406
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1600.4.a.e', 'target_level': 1600, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 25407
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '32.4.a.c', 'source_level': 32, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '1600.4.a.bw', 'target_level': 1600, 'twist_class_label': '32.4.a.a', 'twist_class_level': 32, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 115675
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 2}
-
id: 115676
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 3}
-
id: 115677
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 5}
-
id: 115678
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 7}
-
id: 115679
{'charpoly_factorization': [[[40, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 11}
-
id: 115680
{'charpoly_factorization': [[[50, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 13}
-
id: 115681
{'charpoly_factorization': [[[30, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 17}
-
id: 115682
{'charpoly_factorization': [[[-40, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 19}
-
id: 115683
{'charpoly_factorization': [[[-48, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 23}
-
id: 115684
{'charpoly_factorization': [[[34, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 29}
-
id: 115685
{'charpoly_factorization': [[[-320, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 31}
-
id: 115686
{'charpoly_factorization': [[[-310, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 37}
-
id: 115687
{'charpoly_factorization': [[[-410, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 41}
-
id: 115688
{'charpoly_factorization': [[[-152, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 43}
-
id: 115689
{'charpoly_factorization': [[[416, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 47}
-
id: 115690
{'charpoly_factorization': [[[410, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 53}
-
id: 115691
{'charpoly_factorization': [[[200, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 59}
-
id: 115692
{'charpoly_factorization': [[[-30, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 61}
-
id: 115693
{'charpoly_factorization': [[[-776, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 67}
-
id: 115694
{'charpoly_factorization': [[[-400, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 71}
-
id: 115695
{'charpoly_factorization': [[[630, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 73}
-
id: 115696
{'charpoly_factorization': [[[1120, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 79}
-
id: 115697
{'charpoly_factorization': [[[-552, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 83}
-
id: 115698
{'charpoly_factorization': [[[326, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 89}
-
id: 115699
{'charpoly_factorization': [[[110, 1], 1]], 'hecke_orbit_code': 9007199321849888, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '32.4.a.c', 'level': 32, 'portrait': 'data:image/png;base64,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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 28315219
{'hecke_orbit_code': 9007199321849888, 'n': 1, 'trace_an': 1}
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id: 28315220
{'hecke_orbit_code': 9007199321849888, 'n': 2, 'trace_an': 0}
-
id: 28315221
{'hecke_orbit_code': 9007199321849888, 'n': 3, 'trace_an': 8}
-
id: 28315222
{'hecke_orbit_code': 9007199321849888, 'n': 4, 'trace_an': 0}
-
id: 28315223
{'hecke_orbit_code': 9007199321849888, 'n': 5, 'trace_an': -10}
-
id: 28315224
{'hecke_orbit_code': 9007199321849888, 'n': 6, 'trace_an': 0}
-
id: 28315225
{'hecke_orbit_code': 9007199321849888, 'n': 7, 'trace_an': 16}
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id: 28315226
{'hecke_orbit_code': 9007199321849888, 'n': 8, 'trace_an': 0}
-
id: 28315227
{'hecke_orbit_code': 9007199321849888, 'n': 9, 'trace_an': 37}
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id: 28315228
{'hecke_orbit_code': 9007199321849888, 'n': 10, 'trace_an': 0}
-
id: 28315229
{'hecke_orbit_code': 9007199321849888, 'n': 11, 'trace_an': -40}
-
id: 28315230
{'hecke_orbit_code': 9007199321849888, 'n': 12, 'trace_an': 0}
-
id: 28315231
{'hecke_orbit_code': 9007199321849888, 'n': 13, 'trace_an': -50}
-
id: 28315232
{'hecke_orbit_code': 9007199321849888, 'n': 14, 'trace_an': 0}
-
id: 28315233
{'hecke_orbit_code': 9007199321849888, 'n': 15, 'trace_an': -80}
-
id: 28315234
{'hecke_orbit_code': 9007199321849888, 'n': 16, 'trace_an': 0}
-
id: 28315235
{'hecke_orbit_code': 9007199321849888, 'n': 17, 'trace_an': -30}
-
id: 28315236
{'hecke_orbit_code': 9007199321849888, 'n': 18, 'trace_an': 0}
-
id: 28315237
{'hecke_orbit_code': 9007199321849888, 'n': 19, 'trace_an': 40}
-
id: 28315238
{'hecke_orbit_code': 9007199321849888, 'n': 20, 'trace_an': 0}
-
id: 28315239
{'hecke_orbit_code': 9007199321849888, 'n': 21, 'trace_an': 128}
-
id: 28315240
{'hecke_orbit_code': 9007199321849888, 'n': 22, 'trace_an': 0}
-
id: 28315241
{'hecke_orbit_code': 9007199321849888, 'n': 23, 'trace_an': 48}
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