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mf_newforms • Show schema
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{'Nk2': 2048, 'analytic_conductor': 7.552244480734799, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [128, 2, [127, 5], [2, 1]], 'cm_discs': [], 'conrey_index': 65, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [64, 0, 1]], [7, [-32, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510867668697216, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '128.4.b.d', 'level': 128, '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': '128.4.b.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+2\\beta q^{3}+3\\beta q^{5}+32 q^{7}-37 q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '128.4.b', 'trace_display': [0, 0, 0, 64], 'trace_hash': 1699295898531744502, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.012', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.983', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.320', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.807', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.457', 'prec': 17}, {'__RealLiteral__': 0, 'data': '156.549', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.507', 'prec': 17}, 'traces': [2, 0, 0, 0, 0, 0, 64, 0, -74, 0, 0, 0, 0, 0, -192, 0, -196, 0, 0, 0, 0, 0, -64, 0, -38, 0, 0, 0, 0, 0, 512, 0, -128, 0, 0, 0, 0, 0, -320, 0, -204, 0, 0, 0, 0, 0, 640, 0, 1362, 0, 0, 0, 0, 0, -192, 0, 1408, 0, 0, 0, 0, 0, -2368, 0, -480, 0, 0, 0, 0, 0, 832, 0, -276, 0, 0, 0, 0, 0, 128, 0, -718, 0, 0, 0, 0, 0, 2752, 0, 1164, 0, 0, 0, 0, 0, 2112, 0, 476, 0, 0, 0, 0, 0, -1984, 0, -6144, 0, 0, 0, 0, 0, -1472, 0, -604, 0, 0, 0, 0, 0, -6272, 0, 2534, 0, 0, 0, 0, 0, 3328, 0, -4736, 0, 0, 0, 0, 0, 1920, 0, -3468, 0, 0, 0, 0, 0, -320, 0, 4128, 0, 0, 0, 0, 0, 960, 0, 7252, 0, 0, 0, 0, 0, -1216, 0, -2048, 0, 0, 0, 0, 0, 4416, 0, 3594, 0, 0, 0, 0, 0, -1216, 0, 6528, 0, 0, 0, 0, 0, 10176, 0, -2208, 0, 0, 0, 0, 0, -7424, 0, 3228, 0, 0, 0, 0, 0, -8128, 0, -8832, 0, 0, 0, 0, 0, 2368, 0, 1408, 0, 0, 0, 0, 0, -7104, 0, 16384, 0, 0, 0, 0, 0, -5632, 0, 1406, 0, 0, 0, 0, 0, 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-137984, 0, 0, 0, 0, 0, 6080, 0, -54084, 0, 0, 0, 0, 0, -88384, 0, -16416, 0, 0, 0, 0, 0, -59648, 0, 70528, 0, 0, 0, 0, 0, 14720, 0], 'weight': 4, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 2], [0, 0], [0, 3], [0, 0], [32, 0], [0, 0], [-37, 0], [0, 0], [0, 2], [0, 0], [0, 5], [0, 0], [-96, 0], [0, 0], [-98, 0], [0, 0], [0, -22], [0, 0], [0, 64], [0, 0], [-32, 0], [0, 0], [-19, 0], [0, 0], [0, -20], [0, 0], [0, -43], [0, 0], [256, 0], [0, 0], [-64, 0], [0, 0], [0, 96], [0, 0], [0, 23], [0, 0], [-160, 0], [0, 0], [-102, 0], [0, 0], [0, 74], [0, 0], [0, -111], [0, 0], [320, 0], [0, 0], [681, 0], [0, 0], [0, -196], [0, 0], [0, 19], [0, 0], [-96, 0], [0, 0], [704, 0], [0, 0], [0, -102], [0, 0], [0, -159], [0, 0], [-1184, 0], [0, 0], [-240, 0], [0, 0], [0, 138], [0, 0], [0, -64], [0, 0], [416, 0], [0, 0], [-138, 0], [0, 0], [0, -38], [0, 0], [0, 64], [0, 0], [64, 0], [0, 0], [-359, 0], [0, 0], [0, 98], [0, 0], [0, -294], [0, 0], [1376, 0], [0, 0], [582, 0], [0, 0], [0, 160], [0, 0], [0, 512], [0, 0], [1056, 0], [0, 0], [238, 0], [0, 0], [0, -74], [0, 0]], 'ap': [[0, 0], [0, 2], [0, 3], [32, 0], [0, 2], [0, 5], [-98, 0], [0, -22], [-32, 0], [0, -43], [256, 0], [0, 23], [-102, 0], [0, 74], [320, 0], [0, 19], [0, -102], [0, -159], [0, 138], [416, 0], [-138, 0], [64, 0], [0, 98], [582, 0], [238, 0], [0, 367], [-992, 0], [0, 146], [0, 185], [-302, 0], [1664, 0], [0, -582], [-1734, 0], [0, -758], [0, 447], [480, 0], [0, -575], [0, -398], [2208, 0], [0, -987], [0, -526], [0, -353], [-3712, 0], [1614, 0], [0, 171], [-4064, 0], [0, 530], [-2816, 0], [0, 962], [0, 163], [-3050, 0], [6336, 0], [-4610, 0], [0, -198], [-5374, 0], [3488, 0], [0, -1191], [-1344, 0], [0, -2149], [-2874, 0], [0, 722], [0, 1635], [0, -2646], [6368, 0], [-8758, 0], [0, -179], [0, -1102], [1202, 0], [0, 1290], [0, -1219], [4834, 0], [4128, 0], [4416, 0], [0, -1045], [0, 3434], [-512, 0], [0, -433], [0, 2609], [-12130, 0], [-5014, 0], [0, -2006], [0, 587], [1728, 0], [62, 0], [-14112, 0], [0, 1122], [-2482, 0], [-5894, 0], [0, -1767], [-7616, 0], [0, -3270], [13568, 0], [1696, 0], [0, -774], [0, 4802], [16224, 0], [0, -2823], [5178, 0], [0, 1714], [0, 3433], [0, -2742], [0, -6403], [0, 2442], [-22838, 0], [0, -2302], [-10878, 0], [0, -4510], [26994, 0], [-18336, 0], [9286, 0], [17536, 0], [0, 1467], [19286, 0], [0, -1310], [-15520, 0], [654, 0], [0, 2058], [-24672, 0], [0, 5513], [0, -3006], [0, 4775], [9902, 0], [0, -4921], [0, -4966], [0, -814], [0, -719], [0, -1825], [2880, 0], [8800, 0], [0, 5269], [0, 4834], [-13664, 0], [-19520, 0], [0, -5001], [-31478, 0], [7054, 0], [0, -2401], [0, 786], [0, 5521], [-14950, 0], [0, 5858], [0, -261], [-18208, 0], [0, 3122], [0, -7543], [32544, 0], [0, 6539], [-18646, 0], [0, 1450], [25088, 0], [0, -751], [43282, 0], [0, 6970], [7392, 0], [0, -7270], [-26688, 0], [19680, 0], [-48466, 0], [-13610, 0], [0, 7673], [0, -1206], [22986, 0], [17184, 0], [0, 730], [-27042, 0], [-44192, 0], [-29824, 0], [0, 2903]], 'char_orbit_index': 2, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 13510867668697216, 'hecke_ring_character_values': [[127, [1, 0]], [5, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 4], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 4]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '128.4.b.d', 'level': 128, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 2048, 'analytic_conductor': 7.552244480734799, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [128, 2, [127, 5], [2, 1]], 'conrey_index': 65, 'cusp_dim': 40, 'dim': 12, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 68786585728, 'hecke_orbit_dims': [2, 2, 2, 2, 4], 'label': '128.4.b', 'level': 128, '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': 56, 'mf_new_dim': 12, 'num_forms': 5, 'prim_orbit_index': 2, 'relative_dim': 12, 'sturm_bound': 64, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [12, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -388, 0, 0, 0, 0, 0, 0, 0, 464, 0, 0, 0, 0, 0, 0, 0, -552, 0, 0, 0, 0, 0, 0, 0, 2028, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, 0, 0, 0, 0, 1752, 0, 0, 0, 0, 0, 0, 0, -3332, 0, 0, 0, 0, 0, 0, 0, 1432, 0, 0, 0, 0, 0, 0, 0, 1624, 0, 0, 0, 0, 0, 0, 0, -2048, 0, 0, 0, 0, 0, 0, 0, -1384, 0, 0, 0, 0, 0, 0, 0, -2124, 0, 0, 0, 0, 0, 0, 0, -10096, 0, 0, 0, 0, 0, 0, 0, 2072, 0, 0, 0, 0, 0, 0, 0, -2976, 0, 0, 0, 0, 0, 0, 0, 12520, 0, 0, 0, 0, 0, 0, 0, 10240, 0, 0, 0, 0, 0, 0, 0, 6556, 0, 0, 0, 0, 0, 0, 0, 12816, 0, 0, 0, 0, 0, 0, 0, -28128, 0, 0, 0, 0, 0, 0, 0, -5928, 0, 0, 0, 0, 0, 0, 0, -5872, 0, 0, 0, 0, 0, 0, 0, -624, 0, 0, 0, 0, 0, 0, 0, 32768, 0, 0, 0, 0, 0, 0, 0, 23588, 0, 0, 0, 0, 0, 0, 0, -18984, 0, 0, 0, 0, 0, 0, 0, 1176, 0, 0, 0, 0, 0, 0, 0, -34480, 0, 0, 0, 0, 0, 0, 0, -24744, 0, 0, 0, 0, 0, 0, 0, 9888, 0, 0, 0, 0, 0, 0, 0, -30720, 0, 0, 0, 0, 0, 0, 0, 26520, 0, 0, 0, 0, 0, 0, 0, 32932, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 50912, 0, 0, 0, 0, 0, 0, 0, -56808, 0, 0, 0, 0, 0, 0, 0, -70320, 0, 0, 0, 0, 0, 0, 0, 12288, 0, 0, 0, 0, 0, 0, 0, -41064, 0, 0, 0, 0, 0, 0, 0, 83968, 0, 0, 0, 0, 0, 0, 0, 69912, 0, 0, 0, 0, 0, 0, 0, -8108, 0, 0, 0, 0, 0, 0, 0, 31976, 0, 0, 0, 0, 0, 0, 0, -29536, 0, 0, 0, 0, 0, 0, 0, -83968, 0, 0, 0, 0, 0, 0, 0, 63376, 0, 0, 0, 0, 0, 0, 0, -64616, 0, 0, 0, 0, 0, 0, 0, 81304, 0, 0, 0, 0, 0, 0, 0, 84624, 0, 0, 0, 0, 0, 0, 0, -49160, 0, 0, 0, 0, 0, 0, 0, 79512, 0, 0, 0, 0, 0, 0, 0, -141132, 0, 0, 0, 0, 0, 0, 0, -61608, 0, 0, 0, 0, 0, 0, 0, -15784, 0, 0, 0, 0, 0, 0, 0, -98304, 0, 0, 0, 0, 0, 0, 0, 82448, 0, 0, 0, 0, 0, 0, 0, 92384, 0, 0, 0, 0, 0, 0, 0, -14640, 0, 0, 0, 0, 0, 0, 0, 63488, 0, 0, 0, 0, 0, 0, 0, -102624, 0, 0, 0, 0, 0, 0, 0, -90400, 0, 0, 0, 0, 0, 0, 0, 19480, 0, 0, 0, 0, 0, 0, 0, -41556, 0, 0, 0, 0, 0, 0, 0, 174288, 0, 0, 0, 0, 0, 0, 0, 74720, 0, 0, 0, 0, 0, 0, 0, -53248, 0, 0, 0, 0, 0, 0, 0, 139488, 0, 0, 0, 0, 0, 0, 0, -221992, 0, 0, 0, 0, 0, 0, 0, -180520, 0, 0, 0, 0, 0, 0, 0, -992, 0, 0, 0, 0, 0, 0, 0, -23848, 0, 0, 0, 0, 0, 0, 0, 117528, 0, 0, 0, 0, 0, 0, 0, 247808, 0, 0, 0, 0, 0, 0, 0, 51032, 0, 0, 0, 0, 0, 0, 0, -27444, 0, 0, 0, 0, 0, 0, 0, -136240, 0, 0, 0, 0, 0, 0, 0, -41000, 0, 0, 0, 0, 0, 0, 0, 73616, 0, 0, 0, 0, 0, 0, 0, -69848, 0, 0, 0, 0, 0, 0, 0, 268288, 0, 0, 0, 0, 0, 0, 0, 77272, 0, 0, 0, 0, 0, 0, 0, -77744, 0, 0, 0, 0, 0, 0, 0, 90208, 0, 0, 0, 0, 0, 0, 0, -148176, 0, 0, 0, 0, 0, 0, 0, -266240, 0, 0, 0, 0, 0, 0, 0, -32768, 0, 0, 0, 0, 0, 0, 0, -141312, 0, 0, 0, 0, 0, 0, 0, 134148, 0, 0, 0, 0, 0, 0, 0, 97936, 0, 0, 0, 0, 0, 0, 0, 38176, 0, 0, 0, 0, 0, 0, 0, 18704, 0, 0, 0, 0, 0, 0, 0, -102120, 0, 0, 0, 0, 0, 0, 0, -680, 0, 0, 0, 0, 0, 0, 0, 120832, 0, 0, 0, 0, 0, 0, 0, -107808, 0, 0, 0, 0, 0, 0, 0, 120352, 0, 0, 0, 0, 0, 0, 0, -6552, 0, 0, 0, 0, 0, 0, 0, -121384, 0, 0, 0, 0, 0, 0, 0, 183632, 0, 0, 0, 0, 0, 0, 0, -263536, 0, 0, 0, 0, 0, 0, 0, -222376, 0, 0, 0, 0, 0, 0, 0, -49700, 0, 0, 0, 0, 0, 0, 0, -67760, 0, 0, 0, 0, 0, 0, 0, 78424, 0, 0, 0, 0, 0, 0, 0, 318048, 0, 0, 0, 0, 0, 0, 0, 30760, 0, 0, 0, 0, 0, 0, 0, 7192, 0, 0, 0, 0, 0, 0, 0, 40960, 0, 0, 0, 0, 0, 0, 0, -51200, 0, 0, 0, 0, 0, 0, 0, 268576, 0, 0, 0, 0, 0, 0, 0, 17616, 0, 0, 0, 0, 0, 0, 0, 177680, 0, 0, 0, 0, 0, 0, 0, -112808, 0, 0, 0, 0, 0, 0, 0, -100392, 0, 0, 0, 0, 0, 0, 0, 266240, 0, 0, 0, 0, 0, 0, 0, -155432, 0, 0, 0, 0, 0, 0, 0, -95348, 0, 0, 0, 0, 0, 0, 0, -356768, 0, 0, 0, 0, 0, 0, 0, -236776, 0, 0, 0, 0, 0, 0, 0, -124000, 0, 0, 0, 0, 0, 0, 0, 388176, 0, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 110536
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '128.4.b.a', 'target_level': 128, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 110537
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '128.4.b.a', 'target_level': 128, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 110538
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '128.4.b.d', 'target_level': 128, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 110539
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '128.4.b.d', 'target_level': 128, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 110540
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '256.4.a.b', 'target_level': 256, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 110541
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '256.4.a.c', 'target_level': 256, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 110542
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '256.4.a.f', 'target_level': 256, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 110543
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '256.4.a.g', 'target_level': 256, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 110544
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1152.4.d.a', 'target_level': 1152, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 110545
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1152.4.d.a', 'target_level': 1152, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 110546
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1152.4.d.h', 'target_level': 1152, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 110547
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1152.4.d.h', 'target_level': 1152, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 110548
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2304.4.a.c', 'target_level': 2304, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 110549
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2304.4.a.d', 'target_level': 2304, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 110550
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2304.4.a.m', 'target_level': 2304, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 110551
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': True, 'source_label': '128.4.b.d', 'source_level': 128, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2304.4.a.n', 'target_level': 2304, 'twist_class_label': '128.4.b.a', 'twist_class_level': 128, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 356075
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 2}
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id: 356076
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 3}
-
id: 356077
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 5}
-
id: 356078
{'charpoly_factorization': [[[-32, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 7}
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id: 356079
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 11}
-
id: 356080
{'charpoly_factorization': [[[400, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 13}
-
id: 356081
{'charpoly_factorization': [[[98, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 17}
-
id: 356082
{'charpoly_factorization': [[[7744, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 19}
-
id: 356083
{'charpoly_factorization': [[[32, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 23}
-
id: 356084
{'charpoly_factorization': [[[29584, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 29}
-
id: 356085
{'charpoly_factorization': [[[-256, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 31}
-
id: 356086
{'charpoly_factorization': [[[8464, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 37}
-
id: 356087
{'charpoly_factorization': [[[102, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 41}
-
id: 356088
{'charpoly_factorization': [[[87616, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 43}
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id: 356089
{'charpoly_factorization': [[[-320, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 47}
-
id: 356090
{'charpoly_factorization': [[[5776, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 53}
-
id: 356091
{'charpoly_factorization': [[[166464, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 59}
-
id: 356092
{'charpoly_factorization': [[[404496, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 61}
-
id: 356093
{'charpoly_factorization': [[[304704, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 67}
-
id: 356094
{'charpoly_factorization': [[[-416, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 71}
-
id: 356095
{'charpoly_factorization': [[[138, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 73}
-
id: 356096
{'charpoly_factorization': [[[-64, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 79}
-
id: 356097
{'charpoly_factorization': [[[153664, 0, 1], 1]], 'hecke_orbit_code': 13510867668697216, 'p': 83}
-
id: 356098
{'charpoly_factorization': [[[-582, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 89}
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id: 356099
{'charpoly_factorization': [[[-238, 1], 2]], 'hecke_orbit_code': 13510867668697216, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 4, 'label': '128.4.b.d', 'level': 128, 'portrait': 'data:image/png;base64,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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 35904031
{'hecke_orbit_code': 13510867668697216, 'n': 1, 'trace_an': 2}
-
id: 35904032
{'hecke_orbit_code': 13510867668697216, 'n': 2, 'trace_an': 0}
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id: 35904033
{'hecke_orbit_code': 13510867668697216, 'n': 3, 'trace_an': 0}
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id: 35904034
{'hecke_orbit_code': 13510867668697216, 'n': 4, 'trace_an': 0}
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id: 35904035
{'hecke_orbit_code': 13510867668697216, 'n': 5, 'trace_an': 0}
-
id: 35904036
{'hecke_orbit_code': 13510867668697216, 'n': 6, 'trace_an': 0}
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id: 35904037
{'hecke_orbit_code': 13510867668697216, 'n': 7, 'trace_an': 64}
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id: 35904038
{'hecke_orbit_code': 13510867668697216, 'n': 8, 'trace_an': 0}
-
id: 35904039
{'hecke_orbit_code': 13510867668697216, 'n': 9, 'trace_an': -74}
-
id: 35904040
{'hecke_orbit_code': 13510867668697216, 'n': 10, 'trace_an': 0}
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id: 35904041
{'hecke_orbit_code': 13510867668697216, 'n': 11, 'trace_an': 0}
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id: 35904042
{'hecke_orbit_code': 13510867668697216, 'n': 12, 'trace_an': 0}
-
id: 35904043
{'hecke_orbit_code': 13510867668697216, 'n': 13, 'trace_an': 0}
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id: 35904044
{'hecke_orbit_code': 13510867668697216, 'n': 14, 'trace_an': 0}
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