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mf_newforms • Show schema
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{'Nk2': 528, 'analytic_conductor': 1.9470630301894403, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [11, 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': [33, 1, [23, 13], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 97, 'field_disc_factorization': [[97, 1]], 'field_poly': [-24, -1, 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': [[2, [-24, -1, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199321849889, 'hecke_ring_generator_nbound': 2, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '33.4.a.c', 'level': 33, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 11], 'level_radical': 33, 'minimal_twist': '33.4.a.c', 'nf_label': '2.2.97.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}-3q^{3}+(2^{4}+\\beta )q^{4}+(-6-2\\beta )q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '33.4.a', 'trace_display': [1, -6, -14, 24], 'trace_hash': 65723081855829816, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.946', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.796', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [-3, 0], [16, 1], [-6, -2], [0, -3], [14, -4], [24, 9], [9, 0], [-48, -8], [-11, 0], [-48, -3], [14, 2], [-96, 10], [18, 6], [88, 25], [60, -14], [0, 9], [26, -2], [-144, -40], [-42, 12], [0, -11], [72, -10], [-72, -27], [7, 28], [48, 16], [-27, 0], [128, -54], [-96, -6], [144, 24], [176, 8], [408, 41], [33, 0], [-336, 46], [108, 4], [144, 9], [-190, 52], [-48, 24], [-42, -6], [-576, -120], [-384, -14], [288, -30], [206, -26], [-176, -11], [-54, -18], [-240, 62], [96, 74], [-264, -75], [237, -96], [672, 35], [-180, 42], [272, 48], [-234, -54], [0, -27], [66, 22], [-528, -6], [-78, 6], [-144, -102], [-36, -100], [432, 120], [-406, 34], [192, 184], [126, -36], [280, 249], [-180, -44], [0, 33], [-340, -96], [624, -178], [-216, 30], [96, 112], [288, 54], [216, 81], [662, -28], [1248, -138], [-21, -84], [368, -8], [-154, 44], [-144, -48], [254, 144], [-1728, -376], [81, 0], [-336, -398], [-240, 156], [-384, 162], [312, -8], [-624, 180], [288, 18], [-264, -99], [-414, 72], [-432, -72], [4, -36], [912, -98], [-528, -24], [1776, 170], [-60, -36], [-1224, -123], [-322, 192], [-2304, 141], [-99, 0], [784, 483]], 'ap': [[0, 1], [-3, 0], [-6, -2], [14, -4], [-11, 0], [14, 2], [60, -14], [26, -2], [72, -10], [-96, -6], [176, 8], [-190, 52], [-384, -14], [206, -26], [96, 74], [-234, -54], [-36, -100], [-406, 34], [-340, -96], [288, 54], [662, -28], [254, 144], [-240, 156], [-414, 72], [-322, 192], [168, 314], [92, -96], [432, 132], [374, -406], [150, 180], [-250, 168], [492, 24], [-354, -280], [-1030, 14], [-756, -238], [-826, 240], [-322, -60], [464, 116], [1644, -96], [-312, 66], [-1548, 132], [-1138, -124], [-984, 266], [-22, 332], [2256, 562], [-2296, -524], [-2494, -326], [1508, -532], [-1032, -36], [2762, 208], [720, -726], [2436, -528], [2750, -280], [-1740, 844], [-3390, 688], [6828, -172], [-858, -302], [-1078, -216], [6350, -418], [3360, -810], [-2938, -898], [-4260, 426], [-142, 462], [-5016, 558], [-5506, 300], [1818, 202], [-1768, 1820], [2990, 540], [-5568, -548], [818, 22], [570, -144], [4200, -1028], [-3244, 788], [4082, 974], [3056, -1876], [5400, -1210], [-11382, 78], [-1174, -184], [1278, 1208], [-12250, 280], [-7164, -28], [-562, -2200], [3276, 516], [4622, 188], [2066, 1628], [2412, -1868], [2442, -1828], [-2746, 2560], [6420, 1458], [14972, -592], [12636, -144], [780, -388], [6464, 2244], [-8880, 1660], [10100, 24], [-6132, 2080], [-4026, 738], [18918, 480], [-10258, 2430], [302, 3866], [830, -3606], [1500, -3758], [5772, 832], [11532, 1194], [182, -1326], [-16030, -68], [14364, -284], [7320, 1766], [-13632, -266], [1730, -2424], [-10402, -1392], [8786, 690], [4758, -2460], [4160, 2628], [248, 392], [11802, -132], [992, 3492], [-5064, -4714], [-6162, -674], [13788, 496], [3110, -28], [-16486, -2484], [16608, -3894], [-17700, 764], [1352, -2364], [12324, 1826], [-7270, -1440], [2592, -1842], [10016, -1532], [21446, 2890], [24590, 1782], [1416, 28], [-8680, 1424], [-4642, -1728], [-27516, -1614], [-14974, -588], [7830, -2982], [6350, -5410], [16578, -3562], [18036, 4278], [194, 2330], [13320, 562], [19340, -2852], [22512, -2788], [14378, 1772], [-6696, -2126], [-4390, -3198], [-15924, -514], [18008, 2308], [8856, 378], [19178, 478], [3486, 8060], [-1156, -904], [-33984, -580], [7280, -1124], [-9744, 8742], [6962, 320], [-27402, 1872], [-45718, 720], [3840, 6234], [11172, -5976], [-26004, 5038], [24494, 5120], [-6252, -8524], [-138, 1560], [-33504, -2010], [-42304, -520], [-1582, 1302]], 'char_orbit_index': 1, 'field_poly': [-24, -1, 1], 'hecke_orbit_code': 9007199321849889, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '33.4.a.c', 'level': 33, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [11, -1]], 2, 1], [[[3, -1], [11, 1]], 1, 1], [[[3, 1], [11, 1]], 2, 1], [[[3, 1], [11, -1]], 1, 1]], 'ALdims': [2, 1, 1, 2], 'Nk2': 528, 'analytic_conductor': 1.9470630301894403, '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': [33, 1, [23, 13], [1, 1]], 'conrey_index': 1, 'cusp_dim': 10, 'dim': 6, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 67108897, 'hecke_orbit_dims': [1, 1, 2, 2], 'label': '33.4.a', 'level': 33, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 11], 'level_radical': 33, 'mf_dim': 14, 'mf_new_dim': 6, 'num_forms': 4, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 6, 'sturm_bound': 16, 'trace_bound': 3, 'trace_display': [-4, 0, -16, -32], 'traces': [6, -4, 0, 44, -16, -12, -32, 36, 54, -88, 0, -24, -116, -28, 60, 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mf_twists_nf • Show schema
Hide schema
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id: 26552
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '33.4.a.c', 'target_level': 33, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 26553
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '99.4.a.f', 'target_level': 99, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 26554
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '363.4.a.i', 'target_level': 363, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 26555
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '528.4.a.p', 'target_level': 528, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 26556
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '825.4.a.l', 'target_level': 825, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 26557
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '825.4.c.h', 'target_level': 825, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 26558
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '1089.4.a.u', 'target_level': 1089, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 26559
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '1584.4.a.bj', 'target_level': 1584, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 26560
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1617.4.a.k', 'target_level': 1617, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 26561
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '2112.4.a.bg', 'target_level': 2112, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 26562
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '2112.4.a.bn', 'target_level': 2112, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 26563
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '33.4.a.c', 'source_level': 33, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '2475.4.a.p', 'target_level': 2475, 'twist_class_label': '33.4.a.c', 'twist_class_level': 33, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 119725
{'charpoly_factorization': [[[-24, -1, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 2}
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id: 119726
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 9007199321849889, 'p': 3}
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id: 119727
{'charpoly_factorization': [[[-48, 14, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 5}
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id: 119728
{'charpoly_factorization': [[[-244, -24, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 7}
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id: 119729
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 9007199321849889, 'p': 11}
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id: 119730
{'charpoly_factorization': [[[128, -30, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 13}
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id: 119731
{'charpoly_factorization': [[[-1944, -106, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 17}
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id: 119732
{'charpoly_factorization': [[[528, -50, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 19}
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id: 119733
{'charpoly_factorization': [[[2064, -134, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 23}
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id: 119734
{'charpoly_factorization': [[[8928, 198, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 29}
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id: 119735
{'charpoly_factorization': [[[30848, -360, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 31}
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id: 119736
{'charpoly_factorization': [[[-38676, 328, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 37}
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id: 119737
{'charpoly_factorization': [[[148128, 782, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 41}
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id: 119738
{'charpoly_factorization': [[[20856, -386, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 43}
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id: 119739
{'charpoly_factorization': [[[-115104, -266, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 47}
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id: 119740
{'charpoly_factorization': [[[-2592, 522, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 53}
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id: 119741
{'charpoly_factorization': [[[-235104, 172, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 59}
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id: 119742
{'charpoly_factorization': [[[123288, 778, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 61}
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id: 119743
{'charpoly_factorization': [[[-72944, 776, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 67}
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id: 119744
{'charpoly_factorization': [[[28512, -630, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 71}
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id: 119745
{'charpoly_factorization': [[[400892, -1296, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 73}
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id: 119746
{'charpoly_factorization': [[[-396572, -652, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 79}
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id: 119747
{'charpoly_factorization': [[[-563904, 324, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 83}
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id: 119748
{'charpoly_factorization': [[[17172, 756, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 89}
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id: 119749
{'charpoly_factorization': [[[-842876, 452, 1], 1]], 'hecke_orbit_code': 9007199321849889, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '33.4.a.c', 'level': 33, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 109747000
{'hecke_orbit_code': 9007199321849889, 'n': 1, 'trace_an': 2}
-
id: 109747001
{'hecke_orbit_code': 9007199321849889, 'n': 2, 'trace_an': 1}
-
id: 109747002
{'hecke_orbit_code': 9007199321849889, 'n': 3, 'trace_an': -6}
-
id: 109747003
{'hecke_orbit_code': 9007199321849889, 'n': 4, 'trace_an': 33}
-
id: 109747004
{'hecke_orbit_code': 9007199321849889, 'n': 5, 'trace_an': -14}
-
id: 109747005
{'hecke_orbit_code': 9007199321849889, 'n': 6, 'trace_an': -3}
-
id: 109747006
{'hecke_orbit_code': 9007199321849889, 'n': 7, 'trace_an': 24}
-
id: 109747007
{'hecke_orbit_code': 9007199321849889, 'n': 8, 'trace_an': 57}
-
id: 109747008
{'hecke_orbit_code': 9007199321849889, 'n': 9, 'trace_an': 18}
-
id: 109747009
{'hecke_orbit_code': 9007199321849889, 'n': 10, 'trace_an': -104}
-
id: 109747010
{'hecke_orbit_code': 9007199321849889, 'n': 11, 'trace_an': -22}
-
id: 109747011
{'hecke_orbit_code': 9007199321849889, 'n': 12, 'trace_an': -99}
-
id: 109747012
{'hecke_orbit_code': 9007199321849889, 'n': 13, 'trace_an': 30}
-
id: 109747013
{'hecke_orbit_code': 9007199321849889, 'n': 14, 'trace_an': -182}
-
id: 109747014
{'hecke_orbit_code': 9007199321849889, 'n': 15, 'trace_an': 42}
-
id: 109747015
{'hecke_orbit_code': 9007199321849889, 'n': 16, 'trace_an': 201}
-
id: 109747016
{'hecke_orbit_code': 9007199321849889, 'n': 17, 'trace_an': 106}
-
id: 109747017
{'hecke_orbit_code': 9007199321849889, 'n': 18, 'trace_an': 9}
-
id: 109747018
{'hecke_orbit_code': 9007199321849889, 'n': 19, 'trace_an': 50}
-
id: 109747019
{'hecke_orbit_code': 9007199321849889, 'n': 20, 'trace_an': -328}
-
id: 109747020
{'hecke_orbit_code': 9007199321849889, 'n': 21, 'trace_an': -72}
-
id: 109747021
{'hecke_orbit_code': 9007199321849889, 'n': 22, 'trace_an': -11}
-
id: 109747022
{'hecke_orbit_code': 9007199321849889, 'n': 23, 'trace_an': 134}
-
id: 109747023
{'hecke_orbit_code': 9007199321849889, 'n': 24, 'trace_an': -171}
-
id: 109747024
{'hecke_orbit_code': 9007199321849889, 'n': 25, 'trace_an': 42}
-
id: 109747025
{'hecke_orbit_code': 9007199321849889, 'n': 26, 'trace_an': 112}
-
id: 109747026
{'hecke_orbit_code': 9007199321849889, 'n': 27, 'trace_an': -54}
-
id: 109747027
{'hecke_orbit_code': 9007199321849889, 'n': 28, 'trace_an': 202}
-
id: 109747028
{'hecke_orbit_code': 9007199321849889, 'n': 29, 'trace_an': -198}
-
id: 109747029
{'hecke_orbit_code': 9007199321849889, 'n': 30, 'trace_an': 312}
-
id: 109747030
{'hecke_orbit_code': 9007199321849889, 'n': 31, 'trace_an': 360}
-
id: 109747031
{'hecke_orbit_code': 9007199321849889, 'n': 32, 'trace_an': 857}
-
id: 109747032
{'hecke_orbit_code': 9007199321849889, 'n': 33, 'trace_an': 66}
-
id: 109747033
{'hecke_orbit_code': 9007199321849889, 'n': 34, 'trace_an': -626}
-
id: 109747034
{'hecke_orbit_code': 9007199321849889, 'n': 35, 'trace_an': 220}
-
id: 109747035
{'hecke_orbit_code': 9007199321849889, 'n': 36, 'trace_an': 297}
-
id: 109747036
{'hecke_orbit_code': 9007199321849889, 'n': 37, 'trace_an': -328}
-
id: 109747037
{'hecke_orbit_code': 9007199321849889, 'n': 38, 'trace_an': -72}
-
id: 109747038
{'hecke_orbit_code': 9007199321849889, 'n': 39, 'trace_an': -90}
-
id: 109747039
{'hecke_orbit_code': 9007199321849889, 'n': 40, 'trace_an': -1272}
-
id: 109747040
{'hecke_orbit_code': 9007199321849889, 'n': 41, 'trace_an': -782}
-
id: 109747041
{'hecke_orbit_code': 9007199321849889, 'n': 42, 'trace_an': 546}
-
id: 109747042
{'hecke_orbit_code': 9007199321849889, 'n': 43, 'trace_an': 386}
-
id: 109747043
{'hecke_orbit_code': 9007199321849889, 'n': 44, 'trace_an': -363}
-
id: 109747044
{'hecke_orbit_code': 9007199321849889, 'n': 45, 'trace_an': -126}
-
id: 109747045
{'hecke_orbit_code': 9007199321849889, 'n': 46, 'trace_an': -418}
-
id: 109747046
{'hecke_orbit_code': 9007199321849889, 'n': 47, 'trace_an': 266}
-
id: 109747047
{'hecke_orbit_code': 9007199321849889, 'n': 48, 'trace_an': -603}
-
id: 109747048
{'hecke_orbit_code': 9007199321849889, 'n': 49, 'trace_an': 378}
-
id: 109747049
{'hecke_orbit_code': 9007199321849889, 'n': 50, 'trace_an': 1379}
-
id: 109747050
{'hecke_orbit_code': 9007199321849889, 'n': 51, 'trace_an': -318}
-
id: 109747051
{'hecke_orbit_code': 9007199321849889, 'n': 52, 'trace_an': 592}
-
id: 109747052
{'hecke_orbit_code': 9007199321849889, 'n': 53, 'trace_an': -522}
-
id: 109747053
{'hecke_orbit_code': 9007199321849889, 'n': 54, 'trace_an': -27}
-
id: 109747054
{'hecke_orbit_code': 9007199321849889, 'n': 55, 'trace_an': 154}
-
id: 109747055
{'hecke_orbit_code': 9007199321849889, 'n': 56, 'trace_an': -1062}
-
id: 109747056
{'hecke_orbit_code': 9007199321849889, 'n': 57, 'trace_an': -150}
-
id: 109747057
{'hecke_orbit_code': 9007199321849889, 'n': 58, 'trace_an': -390}
-
id: 109747058
{'hecke_orbit_code': 9007199321849889, 'n': 59, 'trace_an': -172}
-
id: 109747059
{'hecke_orbit_code': 9007199321849889, 'n': 60, 'trace_an': 984}
-
id: 109747060
{'hecke_orbit_code': 9007199321849889, 'n': 61, 'trace_an': -778}
-
id: 109747061
{'hecke_orbit_code': 9007199321849889, 'n': 62, 'trace_an': 568}
-
id: 109747062
{'hecke_orbit_code': 9007199321849889, 'n': 63, 'trace_an': 216}
-
id: 109747063
{'hecke_orbit_code': 9007199321849889, 'n': 64, 'trace_an': 809}
-
id: 109747064
{'hecke_orbit_code': 9007199321849889, 'n': 65, 'trace_an': -404}
-
id: 109747065
{'hecke_orbit_code': 9007199321849889, 'n': 66, 'trace_an': 33}
-
id: 109747066
{'hecke_orbit_code': 9007199321849889, 'n': 67, 'trace_an': -776}
-
id: 109747067
{'hecke_orbit_code': 9007199321849889, 'n': 68, 'trace_an': 1070}
-
id: 109747068
{'hecke_orbit_code': 9007199321849889, 'n': 69, 'trace_an': -402}
-
id: 109747069
{'hecke_orbit_code': 9007199321849889, 'n': 70, 'trace_an': 304}
-
id: 109747070
{'hecke_orbit_code': 9007199321849889, 'n': 71, 'trace_an': 630}
-
id: 109747071
{'hecke_orbit_code': 9007199321849889, 'n': 72, 'trace_an': 513}
-
id: 109747072
{'hecke_orbit_code': 9007199321849889, 'n': 73, 'trace_an': 1296}
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id: 109747073
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