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{'Nk2': 16928, 'analytic_conductor': 33.792690135405856, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [23, -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': [4232, 1, [3175, 2117, 2121], [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': [[3, [1, 1]], [5, [2, 1]], [7, [-2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660929160, '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': '4232.2.a.b', 'level': 4232, 'level_is_powerful': True, '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, 23], 'level_radical': 46, 'minimal_twist': '4232.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-2q^{5}+2q^{7}-2q^{9}+4q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/4232/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4232.2.a', 'trace_display': [0, -1, -2, 2], 'trace_hash': 1724548604148124403, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.991', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [-0.5773502691896257, 0.0], [0.0, 0.0], [-0.8944271909999159, 0.0], [0.0, 0.0], [0.7559289460184545, 0.0], [0.0, 0.0], [-0.6666666666666666, 0.0], [0.0, 0.0], [1.2060453783110545, 0.0], [0.0, 0.0], [1.1094003924504583, 0.0], [0.0, 0.0], [0.5163977794943223, 0.0], [0.0, 0.0], [-1.697749375254331, 0.0], [0.0, 0.0], [0.6882472016116853, 0.0], [0.0, 0.0], [-0.4364357804719848, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.2, 0.0], [0.0, 0.0], [0.9622504486493763, 0.0], [0.0, 0.0], [-0.7427813527082074, 0.0], [0.0, 0.0], [1.0776318121606494, 0.0], [0.0, 0.0], [-0.6963106238227914, 0.0], [0.0, 0.0], [-0.6761234037828132, 0.0], [0.0, 0.0], [0.3287979746107146, 0.0], [0.0, 0.0], [-0.6405126152203485, 0.0], [0.0, 0.0], [0.9370425713316364, 0.0], [0.0, 0.0], [0.7624928516630234, 0.0], [0.0, 0.0], [0.5962847939999439, 0.0], [0.0, 0.0], [-1.4586499149789456, 0.0], [0.0, 0.0], [-0.42857142857142855, 0.0], [0.0, 0.0], [0.9801960588196068, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.0787197799411874, 0.0], [0.0, 0.0], [-0.39735970711951313, 0.0], [0.0, 0.0], [-0.6509445549041193, 0.0], [0.0, 0.0], [-0.5121475197315839, 0.0], [0.0, 0.0], [-0.5039526306789697, 0.0], [0.0, 0.0], [-0.9922778767136676, 0.0], [0.0, 0.0], [0.6108472217815261, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.6614943214713946, 0.0], [0.0, 0.0], [1.7556172079419585, 0.0], [0.0, 0.0], [0.11547005383792515, 0.0], [0.0, 0.0], [0.9116846116771036, 0.0], [0.0, 0.0], [-1.3501054811112287, 0.0], [0.0, 0.0], [0.1111111111111111, 0.0], [0.0, 0.0], [-1.6464638998453551, 0.0], [0.0, 0.0], [1.5185132047305931, 0.0], [0.0, 0.0], [0.4288450139351179, 0.0], [0.0, 0.0], [-1.05999788000636, 0.0], [0.0, 0.0], [0.8386278693775346, 0.0], [0.0, 0.0], [-0.6221710168382552, 0.0], [0.0, 0.0], [-0.6155870112510925, 0.0], [0.0, 0.0], [1.015346165133619, 0.0], [0.0, 0.0], [-0.8040302522073697, 0.0], [0.0, 0.0]], 'angles': [None, -0.29660737466933434, -0.32379180882521663, -0.18831207139278752, -0.1469814168498227, -0.1564164790945006, -0.41135967875557294, -0.1940880380884006, None, -0.3105594707954217, -0.15943592008757862, -0.22371577164437328, -0.17239346463999347, -0.18774747074715262, -0.3800828685425652, -0.25, -0.3027616395089722, -0.29121449938009475, -0.2006009689992424, -0.09395676072004097, -0.0795023999222862, -0.3679395720695872, -0.4039156816588137, -0.3389038422446764, -0.16525289203832555, -0.21811410355839342, -0.16801146792710184, -0.3484819145929012, -0.41540784662638475, -0.12535211385494854, -0.32316334681150594, -0.18568974275255254, -0.21574226526890955, -0.12185042890460372, -0.16821723365858976, -0.15353900910363774, -0.3294734990721256, -0.14222129330815886, -0.1731540650132851, -0.31206260624397164, -0.14043413996684395, -0.21420942274234384, -0.25, -0.07186719359857585, -0.13921358420014895, -0.10766816690670794, -0.1881966803167503, -0.17235141703141765, -0.1545991259869569, -0.06197114728140581, -0.16825338355683328, -0.2916533939604434, -0.3548070758816247, -0.36530627131147764, -0.17251668788171737, -0.29988223872332365, -0.1903931858404624, -0.20088423352744628, -0.2985635670614343, -0.2932552904319484, -0.25473108641862213, -0.20282247579227253, -0.28200740190340723, -0.25, -0.2274345495399332, -0.09054623884757985, -0.3967883875682152, -0.30760255799476555, -0.2800823985522408, -0.33989840692036977, -0.18464660729009186, -0.3953939567463555, -0.25, -0.3675219437572624, -0.2295053049549479, -0.11100713947335517, -0.15583773774627283, -0.16631991729054574, -0.21392674680196658, -0.2776833513202166, -0.3014293577674624, -0.18625545201411192, -0.1519128434659206, -0.3046044566814079, -0.09936227075616265, -0.3817443129162827, -0.14958131586289283, -0.2124271970549565, -0.3028542625785166, -0.10502544821560254, -0.22036988413620082, -0.2941977423264972, -0.32484869847104775, -0.22111138170949662, -0.45625993816711496, -0.19195051441760647, -0.25, -0.2709788118886046, -0.39420536881195, -0.3908434439077188], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660929160, 'label': '4232.2.a.b.1.1', 'level': 4232, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [27, 36, 33, 30], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [23, 24, 24, 24], 'ALdims_old': [94, 96, 99, 90], 'Nk2': 16928, 'analytic_conductor': 33.792690135405856, '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': [4232, 1, [3175, 2117, 2121], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 505, 'dim': 126, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7], 'hecke_orbit_code': 33558664, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 8, 12, 15, 15, 15, 15], 'label': '4232.2.a', 'level': 4232, 'level_is_powerful': True, '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, 23], 'level_radical': 46, 'mf_dim': 600, 'mf_new_dim': 126, 'num_forms': 28, 'plus_dim': 57, 'prim_orbit_index': 1, 'relative_dim': 126, 'sturm_bound': 1104, 'trace_bound': 7, 'trace_display': [0, 0, 2, 0], 'traces': [126, 0, 0, 0, 2, 0, 0, 0, 130, 0, -2, 0, 0, 0, -4, 0, 4, 0, -2, 0, 4, 0, 0, 0, 134, 0, -12, 0, -12, 0, 12, 0, 12, 0, 0, 0, 18, 0, 28, 0, -4, 0, 10, 0, -18, 0, 0, 0, 134, 0, -4, 0, 6, 0, -20, 0, 0, 0, 0, 0, 26, 0, 20, 0, -16, 0, -6, 0, 0, 0, 0, 0, 28, 0, 24, 0, -24, 0, -4, 0, 126, 0, -14, 0, -12, 0, -28, 0, -12, 0, 36, 0, -28, 0, 12, 0, 12, 0, -14, 0, 4, 0, -36, 0, 8, 0, -42, 0, -6, 0, -12, 0, 16, 0, 0, 0, 12, 0, -60, 0, 106, 0, 28, 0, 36, 0, 16, 0, 32, 0, 8, 0, 8, 0, 44, 0, -48, 0, 60, 0, 4, 0, -16, 0, 8, 0, 16, 0, 14, 0, -8, 0, 56, 0, -12, 0, -10, 0, 8, 0, 0, 0, -8, 0, 72, 0, 52, 0, 94, 0, -74, 0, 16, 0, -16, 0, -40, 0, 4, 0, -42, 0, 48, 0, -24, 0, -12, 0, 28, 0, -24, 0, 20, 0, 28, 0, 36, 0, -56, 0, -44, 0, 60, 0, -8, 0, 0, 0, 0, 0, -24, 0, -28, 0, 72, 0, 36, 0, -20, 0, 12, 0, 64, 0, 186, 0, -2, 0, -54, 0, 20, 0, -20, 0, -44, 0, 0, 0, -8, 0, 36, 0, 4, 0, 34, 0, 68, 0, 20, 0, -54, 0, 0, 0, 4, 0, 56, 0, 28, 0, -40, 0, -24, 0, 0, 0, -112, 0, -72, 0, -36, 0, -68, 0, 74, 0, -36, 0, 12, 0, 40, 0, 14, 0, 0, 0, -60, 0, 110, 0, -68, 0, -42, 0, -40, 0, 20, 0, 0, 0, -16, 0, -120, 0, -72, 0, 28, 0, 12, 0, 20, 0, 24, 0, -48, 0, 68, 0, 64, 0, -40, 0, 100, 0, 16, 0, -8, 0, 52, 0, 76, 0, 54, 0, -52, 0, 60, 0, -36, 0, -4, 0, 0, 0, 0, 0, -28, 0, 44, 0, 64, 0, -88, 0, -92, 0, -32, 0, 36, 0, 74, 0, 32, 0, -32, 0, 32, 0, -56, 0, -12, 0, 2, 0, -24, 0, 4, 0, 38, 0, -52, 0, -24, 0, -16, 0, 98, 0, 42, 0, 0, 0, 52, 0, -8, 0, -60, 0, 44, 0, 76, 0, -12, 0, 34, 0, 108, 0, -12, 0, 40, 0, -32, 0, 20, 0, 36, 0, -58, 0, 58, 0, -100, 0, 20, 0, -16, 0, 68, 0, 84, 0, -12, 0, -28, 0, 0, 0, -4, 0, 230, 0, 16, 0, -52, 0, -32, 0, 28, 0, -128, 0, 0, 0, -76, 0, -44, 0, 108, 0, -16, 0, 12, 0, 4, 0, -18, 0, 20, 0, -48, 0, 84, 0, -70, 0, -18, 0, -44, 0, -56, 0, 0, 0, 32, 0, -96, 0, 12, 0, 32, 0, 92, 0, -28, 0, 4, 0, -24, 0, -44, 0, 44, 0, -84, 0, 80, 0, -76, 0, 12, 0, -64, 0, 112, 0, -36, 0, 28, 0, -8, 0, -70, 0, -4, 0, 4, 0, 0, 0, 20, 0, -192, 0, 28, 0, 0, 0, -34, 0, 0, 0, 52, 0, -300, 0, 44, 0, -38, 0, -52, 0, -40, 0, -76, 0, 18, 0, -20, 0, -8, 0, -38, 0, -248, 0, -16, 0, -12, 0, 50, 0, 28, 0, 0, 0, -8, 0, 20, 0, -72, 0, 52, 0, -20, 0, 40, 0, 80, 0, 176, 0, -220, 0, 16, 0, -68, 0, -92, 0, 44, 0, -26, 0, -22, 0, -96, 0, 36, 0, -44, 0, 54, 0, 92, 0, -28, 0, -6, 0, 0, 0, -48, 0, 118, 0, 44, 0, -332, 0, 72, 0, -28, 0, -20, 0, -32, 0, -108, 0, 88, 0, 102, 0, -88, 0, 100, 0, 8, 0, -12, 0, -60, 0, -116, 0, -40, 0, -46, 0, -30, 0, -148, 0, 96, 0, 0, 0, -40, 0, -112, 0, -288, 0, 16, 0, -10, 0, 16, 0, 60, 0, -116, 0, 32, 0, 104, 0, 36, 0, 100, 0, 44, 0, 20, 0, 36, 0, -4, 0, 22, 0, 100, 0, 84, 0, -48, 0, 2, 0, 92, 0, 0, 0, 24, 0, -12, 0, 72, 0, 48, 0, -92, 0, -288, 0, 96, 0, 190, 0, 32, 0, -54, 0, -20, 0, 20, 0, -56, 0, 80, 0, -28, 0, -8, 0, 142, 0, 44, 0, -24, 0, 36, 0, 116, 0, -18, 0, 0, 0, -64, 0, 64, 0, 44, 0, 72, 0, 52, 0, 12, 0, -46, 0, 132, 0, -64, 0, -140, 0, -4, 0, -116, 0, -380, 0, -14, 0, 32, 0, -52, 0, -92, 0, 20, 0, -14, 0, 116, 0, -36, 0, -136, 0, 0, 0, 36, 0, 32, 0, -36, 0, 8, 0, 84, 0, 72, 0, -160, 0, 40, 0, -52, 0, -60, 0, -42, 0, -4, 0, 68, 0, -28, 0, 64, 0, 16, 0, -84, 0, 142, 0, 20, 0, 130, 0, -160, 0, -68, 0, 0, 0, -216, 0, -84, 0, -60, 0, -40, 0, 60, 0, -52, 0, 60, 0, -128, 0, -80, 0, 32, 0, -32, 0, 68, 0, 16, 0, 48, 0, 24, 0, 12, 0, -32, 0, -108, 0, -36, 0, -34, 0, -128, 0, 52, 0, 0, 0, -20, 0, 0, 0, -40, 0, -56, 0, -78, 0, -20, 0, 196, 0, 0, 0, 92, 0, 84, 0, -48, 0, -40, 0, 32, 0, -34, 0, -24, 0, -320, 0, 158, 0, -4, 0, 112, 0, -16, 0, 112, 0, -22, 0, 0, 0, -12, 0, 92, 0, 36, 0, -124, 0, -120, 0, 28, 0, -4, 0, 116, 0, 174, 0, -58, 0, 16, 0, -76, 0, 76, 0, -46, 0, -148, 0, -172, 0, 68, 0, 28, 0, -46, 0, 4, 0, 88, 0, 36, 0, 0, 0, -24, 0, -80, 0, -32, 0, 120, 0, 116, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 33934247
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660929160, 'source_is_minimal': True, 'source_label': '4232.2.a.b.1.1', 'source_level': 4232, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660929160, 'target_is_minimal': True, 'target_label': '4232.2.a.b.1.1', 'target_level': 4232, 'twist_class_label': '4232.2.a.b.1.1', 'twist_class_level': 4232, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 33934248
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660929160, 'source_is_minimal': True, 'source_label': '4232.2.a.b.1.1', 'source_level': 4232, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307267856, 'target_is_minimal': False, 'target_label': '8464.2.a.k.1.1', 'target_level': 8464, 'twist_class_label': '4232.2.a.b.1.1', 'twist_class_level': 4232, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 33934249
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660929160, 'source_is_minimal': True, 'source_label': '4232.2.a.b.1.1', 'source_level': 4232, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288299656, 'target_is_minimal': True, 'target_label': '4232.2.a.c.1.1', 'target_level': 4232, 'twist_class_label': '4232.2.a.b.1.1', 'twist_class_level': 4232, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 33934250
{'conductor': 92, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660929160, 'source_is_minimal': True, 'source_label': '4232.2.a.b.1.1', 'source_level': 4232, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816749840, 'target_is_minimal': False, 'target_label': '8464.2.a.o.1.1', 'target_level': 8464, 'twist_class_label': '4232.2.a.b.1.1', 'twist_class_level': 4232, 'twisting_char_label': '92.91', 'twisting_conrey_index': 91, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3538900
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 2}
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id: 3538901
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 3}
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id: 3538902
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 5}
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id: 3538903
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 7}
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id: 3538904
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 11}
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id: 3538905
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 13}
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id: 3538906
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 17}
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id: 3538907
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 19}
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id: 3538908
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 23}
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id: 3538909
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 29}
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id: 3538910
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 31}
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id: 3538911
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 37}
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id: 3538912
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 41}
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id: 3538913
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 43}
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id: 3538914
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 47}
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id: 3538915
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 53}
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id: 3538916
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 59}
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id: 3538917
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 61}
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id: 3538918
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 67}
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id: 3538919
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 71}
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id: 3538920
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 73}
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id: 3538921
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 79}
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id: 3538922
{'charpoly_factorization': [[[15, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 83}
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id: 3538923
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 89}
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id: 3538924
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 4503599660929160, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '4232.2.a.b', 'level': 4232, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 17110110
{'hecke_orbit_code': 4503599660929160, 'n': 1, 'trace_an': 1}
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id: 17110111
{'hecke_orbit_code': 4503599660929160, 'n': 2, 'trace_an': 0}
-
id: 17110112
{'hecke_orbit_code': 4503599660929160, 'n': 3, 'trace_an': -1}
-
id: 17110113
{'hecke_orbit_code': 4503599660929160, 'n': 4, 'trace_an': 0}
-
id: 17110114
{'hecke_orbit_code': 4503599660929160, 'n': 5, 'trace_an': -2}
-
id: 17110115
{'hecke_orbit_code': 4503599660929160, 'n': 6, 'trace_an': 0}
-
id: 17110116
{'hecke_orbit_code': 4503599660929160, 'n': 7, 'trace_an': 2}
-
id: 17110117
{'hecke_orbit_code': 4503599660929160, 'n': 8, 'trace_an': 0}
-
id: 17110118
{'hecke_orbit_code': 4503599660929160, 'n': 9, 'trace_an': -2}
-
id: 17110119
{'hecke_orbit_code': 4503599660929160, 'n': 10, 'trace_an': 0}
-
id: 17110120
{'hecke_orbit_code': 4503599660929160, 'n': 11, 'trace_an': 4}
-
id: 17110121
{'hecke_orbit_code': 4503599660929160, 'n': 12, 'trace_an': 0}
-
id: 17110122
{'hecke_orbit_code': 4503599660929160, 'n': 13, 'trace_an': 4}
-
id: 17110123
{'hecke_orbit_code': 4503599660929160, 'n': 14, 'trace_an': 0}
-
id: 17110124
{'hecke_orbit_code': 4503599660929160, 'n': 15, 'trace_an': 2}
-
id: 17110125
{'hecke_orbit_code': 4503599660929160, 'n': 16, 'trace_an': 0}
-
id: 17110126
{'hecke_orbit_code': 4503599660929160, 'n': 17, 'trace_an': -7}
-
id: 17110127
{'hecke_orbit_code': 4503599660929160, 'n': 18, 'trace_an': 0}
-
id: 17110128
{'hecke_orbit_code': 4503599660929160, 'n': 19, 'trace_an': 3}
-
id: 17110129
{'hecke_orbit_code': 4503599660929160, 'n': 20, 'trace_an': 0}
-
id: 17110130
{'hecke_orbit_code': 4503599660929160, 'n': 21, 'trace_an': -2}
-
id: 17110131
{'hecke_orbit_code': 4503599660929160, 'n': 22, 'trace_an': 0}
-
id: 17110132
{'hecke_orbit_code': 4503599660929160, 'n': 23, 'trace_an': 0}
-
id: 17110133
{'hecke_orbit_code': 4503599660929160, 'n': 24, 'trace_an': 0}
-
id: 17110134
{'hecke_orbit_code': 4503599660929160, 'n': 25, 'trace_an': -1}
-
id: 17110135
{'hecke_orbit_code': 4503599660929160, 'n': 26, 'trace_an': 0}
-
id: 17110136
{'hecke_orbit_code': 4503599660929160, 'n': 27, 'trace_an': 5}
-
id: 17110137
{'hecke_orbit_code': 4503599660929160, 'n': 28, 'trace_an': 0}
-
id: 17110138
{'hecke_orbit_code': 4503599660929160, 'n': 29, 'trace_an': -4}
-
id: 17110139
{'hecke_orbit_code': 4503599660929160, 'n': 30, 'trace_an': 0}
-
id: 17110140
{'hecke_orbit_code': 4503599660929160, 'n': 31, 'trace_an': 6}
-
id: 17110141
{'hecke_orbit_code': 4503599660929160, 'n': 32, 'trace_an': 0}
-
id: 17110142
{'hecke_orbit_code': 4503599660929160, 'n': 33, 'trace_an': -4}
-
id: 17110143
{'hecke_orbit_code': 4503599660929160, 'n': 34, 'trace_an': 0}
-
id: 17110144
{'hecke_orbit_code': 4503599660929160, 'n': 35, 'trace_an': -4}
-
id: 17110145
{'hecke_orbit_code': 4503599660929160, 'n': 36, 'trace_an': 0}
-
id: 17110146
{'hecke_orbit_code': 4503599660929160, 'n': 37, 'trace_an': 2}
-
id: 17110147
{'hecke_orbit_code': 4503599660929160, 'n': 38, 'trace_an': 0}
-
id: 17110148
{'hecke_orbit_code': 4503599660929160, 'n': 39, 'trace_an': -4}
-
id: 17110149
{'hecke_orbit_code': 4503599660929160, 'n': 40, 'trace_an': 0}
-
id: 17110150
{'hecke_orbit_code': 4503599660929160, 'n': 41, 'trace_an': 6}
-
id: 17110151
{'hecke_orbit_code': 4503599660929160, 'n': 42, 'trace_an': 0}
-
id: 17110152
{'hecke_orbit_code': 4503599660929160, 'n': 43, 'trace_an': 5}
-
id: 17110153
{'hecke_orbit_code': 4503599660929160, 'n': 44, 'trace_an': 0}
-
id: 17110154
{'hecke_orbit_code': 4503599660929160, 'n': 45, 'trace_an': 4}
-
id: 17110155
{'hecke_orbit_code': 4503599660929160, 'n': 46, 'trace_an': 0}
-
id: 17110156
{'hecke_orbit_code': 4503599660929160, 'n': 47, 'trace_an': -10}
-
id: 17110157
{'hecke_orbit_code': 4503599660929160, 'n': 48, 'trace_an': 0}
-
id: 17110158
{'hecke_orbit_code': 4503599660929160, 'n': 49, 'trace_an': -3}
-
id: 17110159
{'hecke_orbit_code': 4503599660929160, 'n': 50, 'trace_an': 0}
-
id: 17110160
{'hecke_orbit_code': 4503599660929160, 'n': 51, 'trace_an': 7}
-
id: 17110161
{'hecke_orbit_code': 4503599660929160, 'n': 52, 'trace_an': 0}
-
id: 17110162
{'hecke_orbit_code': 4503599660929160, 'n': 53, 'trace_an': 0}
-
id: 17110163
{'hecke_orbit_code': 4503599660929160, 'n': 54, 'trace_an': 0}
-
id: 17110164
{'hecke_orbit_code': 4503599660929160, 'n': 55, 'trace_an': -8}
-
id: 17110165
{'hecke_orbit_code': 4503599660929160, 'n': 56, 'trace_an': 0}
-
id: 17110166
{'hecke_orbit_code': 4503599660929160, 'n': 57, 'trace_an': -3}
-
id: 17110167
{'hecke_orbit_code': 4503599660929160, 'n': 58, 'trace_an': 0}
-
id: 17110168
{'hecke_orbit_code': 4503599660929160, 'n': 59, 'trace_an': -5}
-
id: 17110169
{'hecke_orbit_code': 4503599660929160, 'n': 60, 'trace_an': 0}
-
id: 17110170
{'hecke_orbit_code': 4503599660929160, 'n': 61, 'trace_an': -4}
-
id: 17110171
{'hecke_orbit_code': 4503599660929160, 'n': 62, 'trace_an': 0}
-
id: 17110172
{'hecke_orbit_code': 4503599660929160, 'n': 63, 'trace_an': -4}
-
id: 17110173
{'hecke_orbit_code': 4503599660929160, 'n': 64, 'trace_an': 0}
-
id: 17110174
{'hecke_orbit_code': 4503599660929160, 'n': 65, 'trace_an': -8}
-
id: 17110175
{'hecke_orbit_code': 4503599660929160, 'n': 66, 'trace_an': 0}
-
id: 17110176
{'hecke_orbit_code': 4503599660929160, 'n': 67, 'trace_an': 5}
-
id: 17110177
{'hecke_orbit_code': 4503599660929160, 'n': 68, 'trace_an': 0}
-
id: 17110178
{'hecke_orbit_code': 4503599660929160, 'n': 69, 'trace_an': 0}
-
id: 17110179
{'hecke_orbit_code': 4503599660929160, 'n': 70, 'trace_an': 0}
-
id: 17110180
{'hecke_orbit_code': 4503599660929160, 'n': 71, 'trace_an': 14}
-
id: 17110181
{'hecke_orbit_code': 4503599660929160, 'n': 72, 'trace_an': 0}
-
id: 17110182
{'hecke_orbit_code': 4503599660929160, 'n': 73, 'trace_an': 15}
-
id: 17110183
{'hecke_orbit_code': 4503599660929160, 'n': 74, 'trace_an': 0}
-
id: 17110184
{'hecke_orbit_code': 4503599660929160, 'n': 75, 'trace_an': 1}
-
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