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mf_newforms • Show schema
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{'Nk2': 3280, 'analytic_conductor': 6.547732965744991, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 820, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 8, 'char_parity': 1, 'char_values': [820, 8, [411, 657, 621], [4, 4, 7]], 'cm_discs': [-4], 'conrey_index': 79, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [13, [98, 140, 66, 8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4505111489413940, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 205, 13, -1, 8, 0], [1, 1, 820, 23, 1, 8, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '820.2.w.b', 'level': 820, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 41], 'level_radical': 410, 'minimal_twist': '820.2.w.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 23, 'qexp_display': 'q+(1-\\zeta_{8}^{2})q^{2}-2\\zeta_{8}^{2}q^{4}+(-\\zeta_{8}+2\\zeta_{8}^{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.1.d8', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '820.2.w', 'trace_display': [4, 0, 0, 0], 'trace_hash': 1964879189526471638, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.815', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.633', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [1, 0, -1, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, -1, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, -2, 0], [0, 0, 0, 3], [0, 1, 0, 3], [0, 0, 0, 0], [0, 0, 0, 0], [-2, -3, -3, -2], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 0, 0], [-1, 1, 4, 4], [0, 3, 0, 3], [0, 0, 0, 0], [0, 4, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 0, -3, 0], [-5, -5, -1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [-5, -2, 2, 5], [0, 0, 0, 0], [0, 0, 0, 0], [-4, 0, 4, 0], [0, 0, 0, 0], [3, 5, 5, 3], [0, 0, 0, 0], [0, 6, 0, 0], [0, -5, 0, -5], [0, 0, 0, 0], [0, 0, 0, 0], [0, 6, 0, -2], [-5, 0, -4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, 0, -6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 7], [1, 0, -7, 0], [0, 0, 0, 0], [-6, -4, 4, 6], [7, 2, -2, -7], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-3, 3, 7, 7], [0, 0, 0, 0], [0, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 8, 0], [4, 8, 7, -1], [0, 0, 0, 0], [0, 0, 0, 0], [8, 8, 2, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 6, 0, -6], [0, 0, 0, -6], [0, -10, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 4, 0, -8], [0, 0, -9, 0], [-9, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, -7, -9, -6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [8, -5, 5, -8], [-3, 0, -9, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-9, -9, 4, -4], [0, 7, 0, 7], [0, 0, 0, 0], [-6, 0, -8, 0]], 'ap': [[1, 0, -1, 0], [0, 0, 0, 0], [0, -1, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [-2, -3, -3, -2], [-1, 1, 4, 4], [0, 0, 0, 0], [0, 0, 0, 0], [-5, -2, 2, 5], [0, 0, 0, 0], [0, -5, 0, -5], [-5, 0, -4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [7, 2, -2, -7], [0, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -6], [0, 0, 0, 0], [0, 0, 0, 0], [8, -5, 5, -8], [-9, -9, 4, -4], [-10, -10, -1, 1], [0, 0, 0, 0], [0, 0, 0, 0], [10, -10, -3, -3], [0, 1, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [11, -11, 4, 4], [0, 0, 0, 0], [7, 7, 10, -10], [0, 0, 0, 0], [-6, -11, 11, 6], [0, 0, 0, 0], [0, 0, 0, 0], [-11, 0, -11, 0], [0, 0, 0, 0], [9, 9, 10, -10], [0, 0, 0, 0], [-12, -7, -7, -12], [15, 0, -15, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [2, -2, 15, 15], [-13, 8, -8, 13], [0, 0, 0, 0], [-11, 0, -11, 0], [0, 0, 0, 0], [-16, -1, 1, 16], [0, 0, 0, 0], [0, 0, 26, 0], [0, 0, 0, 0], [0, 5, 0, -5], [5, -5, 16, 16], [0, 0, 0, 0], [-17, 17, -2, -2], [0, 0, 0, 0], [0, 0, 0, 0], [-12, 12, -13, -13], [14, -11, -11, 14], [0, 0, 0, 0], [0, 32, 0, 0], [0, 0, 0, 0], [0, 0, 0, -10], [0, 9, 0, -9], [0, 0, 0, 0], [0, 0, 0, 0], [-36, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [7, 0, 7, 0], [-6, 19, -19, 6], [0, 2, 0, 0], [0, 17, 0, 17], [0, 0, 0, 0], [-15, 14, 14, -15], [0, 0, 0, 0], [-24, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [27, 0, -27, 0], [-21, 21, 4, 4], [0, -29, 0, 29], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-22, -22, -5, 5], [-20, -11, 11, 20], [0, 0, 0, 0], [0, 0, 0, -42], [0, 0, 0, 0], [-19, -19, -14, 14], [0, 0, 0, 0], [0, 40, 0, 0], [0, 0, 0, 0], [-1, -24, -24, -1], [0, 0, 0, 0], [-8, 8, 23, 23], [0, 0, 0, 0], [-5, 5, 24, 24], [0, 0, 0, 0], [0, -34, 0, 0], [35, 0, -35, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-4, -4, -25, 25], [0, 0, 0, 0], [0, 0, 0, 0], [22, 13, -13, -22], [0, 0, 0, 0], [0, 0, 0, -50], [-12, 12, -23, -23], [0, -52, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -31, 0, -31], [-22, -15, -15, -22], [0, 0, 0, 0], [0, 0, 0, 0], [29, 0, -29, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [26, -26, -9, -9], [0, 1, 0, 1], [0, 0, -24, 0], [-17, -17, 22, -22], [0, 0, 0, 0], [0, 0, 52, 0], [-5, 28, -28, 5], [0, 0, 0, 0], [0, 11, 0, -11], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -20], [0, 0, 0, 0], [-5, 0, 5, 0], [0, -25, 0, -25], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 12, 0], [41, 0, 41, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [20, -20, 23, 23], [-24, -24, 19, -19], [39, 0, -39, 0], [0, 0, 0, 0], [0, 15, 0, 15], [0, 0, 0, 0], [0, 0, 0, 0], [-4, -31, 31, 4], [0, 0, 0, 0], [0, 0, 0, 0], [-31, -6, -6, -31]], 'char_orbit_index': 23, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 4505111489413940, 'hecke_ring_character_values': [[411, [-1, 0, 0, 0]], [657, [-1, 0, 0, 0]], [621, [0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '820.2.w.b', 'level': 820, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3280, 'analytic_conductor': 6.547732965744991, 'char_conductor': 820, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 8, 'char_parity': 1, 'char_values': [820, 8, [411, 657, 621], [4, 4, 7]], 'conrey_index': 79, 'cusp_dim': 488, 'dim': 488, 'eis_dim': 32, 'eis_new_dim': 32, 'hecke_cutter_primes': [3, 13], 'hecke_orbit_code': 1511862043444, 'hecke_orbit_dims': [4, 4, 8, 8, 464], 'label': '820.2.w', 'level': 820, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 41], 'level_radical': 410, 'mf_dim': 520, 'mf_new_dim': 520, 'num_forms': 5, 'prim_orbit_index': 23, 'relative_dim': 122, 'sturm_bound': 252, 'trace_bound': 2, 'trace_display': [0, 0, -8, 0], 'traces': [488, 0, 0, 0, -8, -8, 0, 0, -16, -8, 0, 0, 0, -32, 0, -16, 0, 0, 0, 0, -16, 0, 0, -8, 0, -8, 0, 0, -24, 0, 0, 0, 0, -8, 0, 24, 0, 0, 0, 0, 24, 0, 0, -40, 0, -72, 0, 0, 0, -12, 0, 0, 0, 24, 0, -8, 0, 0, 0, -60, -56, 0, 0, 0, -8, 0, 0, 0, 32, -52, 0, 0, 0, -112, 0, -208, 0, 0, 0, 28, 0, 0, 0, 16, 24, 0, 0, 0, -16, 32, 0, 0, 0, 120, 0, -296, 0, 0, 0, 56, -16, 0, 0, 0, 0, 32, 0, 0, 48, 120, 0, 0, 0, 176, 0, -88, 0, 0, 0, -104, -32, 0, 0, -80, -104, -208, 0, 0, 64, 60, 0, 0, 0, -128, 0, 48, 0, 0, 0, -156, 0, 0, 0, -8, 40, 0, 0, 0, 136, -36, 0, 0, 0, 0, 0, -464, 0, 0, 0, 96, 192, 0, 0, 96, -336, -40, 0, 0, 104, 60, 0, 0, 0, 352, 0, 216, 0, 0, 0, -16, 72, 0, 0, 40, -40, -112, 0, 0, 0, 112, 0, 0, 0, -104, 0, 48, 0, 0, 0, -84, -32, 0, 0, 0, -104, 224, 0, 0, 0, 72, 0, 0, 0, -96, 0, 280, 0, 0, 0, 84, -32, 0, 0, 176, 64, -288, 0, 0, -208, 0, 0, 0, 0, 312, 0, 0, 0, 0, 0, 264, -56, 0, 0, -80, 0, 224, 0, 0, 16, 0, 0, 0, 0, -56, 0, -80, 0, 0, 0, 28, -64, 0, 0, -400, -224, -56, 0, 0, 0, -240, 0, 0, 0, -440, 0, 128, 0, 0, 0, 144, -344, 0, 0, 16, 80, 0, 0, 0, -120, -4, 0, 0, 0, 240, 0, -312, 0, 0, 0, -56, -64, 0, 0, 120, 48, 376, 0, 0, 48, 0, 0, 0, 0, 232, 0, 56, 0, 0, 0, 120, 32, 0, 0, -112, 32, 48, 0, 0, -416, 152, 0, 0, 0, -248, 0, -96, 0, 0, 0, 72, -192, 0, 0, -16, 96, -16, 0, 0, -64, 168, 0, 0, 0, -184, 0, -232, 0, 0, 0, 228, 64, 0, 0, 8, 64, -232, 0, 0, -176, -248, 0, 0, 0, 160, 0, 480, 0, 0, 0, -412, 48, 0, 0, -120, -16, -64, 0, 0, 216, 484, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, -208, 0, 0, 152, 104, 32, 0, 0, 0, -16, 0, 0, 0, 0, 0, -112, 0, 0, 0, 784, 56, 0, 0, 592, -224, 32, 0, 0, -272, 132, 0, 0, 0, 176, 0, 152, 0, 0, 0, -212, 0, 0, 0, 400, 24, -176, 0, 0, 184, 0, 0, 0, 0, 232, 0, 504, 0, 0, 0, 56, -608, 0, 0, -112, -128, 136, 0, 0, -32, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 280, 264, 0, 0, 440, 408, 432, 0, 0, -192, -320, 0, 0, 0, -376, 0, 0, 0, 0, 0, -116, -832, 0, 0, -376, 104, 944, 0, 0, -192, -792, 0, 0, 0, 16, 0, -64, 0, 0, 0, -584, -480, 0, 0, -232, 512, 336, 0, 0, -8, 208, 0, 0, 0, 400, 0, 680, 0, 0, 0, -372, -48, 0, 0, 56, -264, -360, 0, 0, -32, 156, 0, 0, 0, 400, 0, 0, 0, 0, 0, 188, -112, 0, 0, 0, -24, 448, 0, 0, 144, -280, 0, 0, 0, -704, 0, -80, 0, 0, 0, -232, -208, 0, 0, -352, -8, 80, 0, 0, -320, -88, 0, 0, 0, 264, 0, 408, 0, 0, 0, -504, 584, 0, 0, -288, 0, -32, 0, 0, 528, 124, 0, 0, 0, 0, 0, 352, 0, 0, 0, -200, 400, 0, 0, 336, 504, -208, 0, 0, 312, -556, 0, 0, 0, -904, 0, 664, 0, 0, 0, 0, 112, 0, 0, -400, -288, 0, 0, 0, 368, -168, 0, 0, 0, -96, 0, -664, 0, 0, 0, 0, 624, 0, 0, 400, 208, 608, 0, 0, 128, -240, 0, 0, 0, 480, 0, 184, 0, 0, 0, 520, 0, 0, 0, 1056, -88, -136, 0, 0, 264, -28, 0, 0, 0, 40, 0, 0, 0, 0, 0, -280, 0, 0, 0, -408, -272, 200, 0, 0, -96, 336, 0, 0, 0, -176, 0, -544, 0, 0, 0, 0, -128, 0, 0, -448, 48, -392, 0, 0, 32, -364, 0, 0, 0, 496, 0, -56, 0, 0, 0, -512, 16, 0, 0, 376, 232, 584, 0, 0, -96, -112, 0, 0, 0, 64, 0, -64, 0, 0, 0, -624, 0, 0, 0, -40, 64, 8, 0, 0, 0, -516, 0, 0, 0, -672, 0, 280, 0, 0, 0, 16, -304, 0, 0, -664, 168, -1032, 0, 0, 352, 592, 0, 0, 0, 152, 0, -200, 0, 0, 0, -596, 184, 0, 0, 0, 304, -600, 0, 0, -280, 0, 0, 0, 0, 72, 0, 32, 0, 0, 0, 72, 32, 0, 0, 0, 160, -88, 0, 0, 432, -1080, 0, 0, 0, -1576, 0, 80, 0, 0, 0, 8, 24, 0, 0, -368, 0, -656, 0, 0, 560, 172, 0, 0, 0, -496, 0, -56, 0, 0, 0, 0, -80, 0, 0, -1336, 0, -568, 0, 0, -368, -196, 0, 0, 0, 232, 0, -240, 0, 0, 0, 12, -152, 0, 0, 0, 352, 0, 0, 0, 96, -188, 0, 0, 0, -856, 0, -128, 0, 0, 0, 564, 0, 0, 0, 344, -232, 0, 0, 0, 128, -52, 0, 0, 0, 440, 0, -1208, 0, 0, 0, 1168, 272, 0, 0, -192, 0, 528, 0, 0, -48, 984, 0, 0, 0, 280, 0, -1160, 0, 0, 0, 44, 296, 0, 0, -256, 832, -1296, 0, 0, -96, 504, 0, 0, 0, 72, 0, 376, 0, 0, 0, -268, -152, 0, 0, -344, -216, 0, 0, 0, -144, -32, 0, 0, 0, 0, 0, -1128, 0, 0, 0, 688, -592, 0, 0, 1328, 368, 104, 0, 0, 368, 372, 0, 0, 0, 48, 0, 856, 0, 0, 0, 256], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 519000
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '820.2.w.b', 'source_level': 820, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '820.2.w.a', 'target_level': 820, 'twist_class_label': '820.2.w.a', 'twist_class_level': 820, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 519001
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '820.2.w.b', 'source_level': 820, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '820.2.w.a', 'target_level': 820, 'twist_class_label': '820.2.w.a', 'twist_class_level': 820, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 519002
{'conductor': 41, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '820.2.w.b', 'source_level': 820, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '820.2.w.a', 'target_level': 820, 'twist_class_label': '820.2.w.a', 'twist_class_level': 820, 'twisting_char_label': '41.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 519003
{'conductor': 164, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '820.2.w.b', 'source_level': 820, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '820.2.w.a', 'target_level': 820, 'twist_class_label': '820.2.w.a', 'twist_class_level': 820, 'twisting_char_label': '164.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 519004
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '820.2.w.b', 'source_level': 820, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '820.2.w.b', 'target_level': 820, 'twist_class_label': '820.2.w.a', 'twist_class_level': 820, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 519005
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -4, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '820.2.w.b', 'source_level': 820, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '820.2.w.b', 'target_level': 820, 'twist_class_label': '820.2.w.a', 'twist_class_level': 820, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 519006
{'conductor': 205, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '820.2.w.b', 'source_level': 820, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '820.2.w.b', 'target_level': 820, 'twist_class_label': '820.2.w.a', 'twist_class_level': 820, 'twisting_char_label': '205.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 519007
{'conductor': 820, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '820.2.w.b', 'source_level': 820, 'target_char_orbit': 23, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '820.2.w.b', 'target_level': 820, 'twist_class_label': '820.2.w.a', 'twist_class_level': 820, 'twisting_char_label': '820.w', 'twisting_char_orbit': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1372750
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 4505111489413940, 'p': 2}
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id: 1372751
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 3}
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id: 1372752
{'charpoly_factorization': [[[25, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 4505111489413940, 'p': 5}
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id: 1372753
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 7}
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id: 1372754
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 11}
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id: 1372755
{'charpoly_factorization': [[[98, 140, 66, 8, 1], 1]], 'hecke_orbit_code': 4505111489413940, 'p': 13}
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id: 1372756
{'charpoly_factorization': [[[98, -140, 54, 4, 1], 1]], 'hecke_orbit_code': 4505111489413940, 'p': 17}
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id: 1372757
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 19}
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id: 1372758
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 23}
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id: 1372759
{'charpoly_factorization': [[[2, 12, 118, 20, 1], 1]], 'hecke_orbit_code': 4505111489413940, 'p': 29}
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id: 1372760
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 31}
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id: 1372761
{'charpoly_factorization': [[[50, 0, 1], 2]], 'hecke_orbit_code': 4505111489413940, 'p': 37}
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id: 1372762
{'charpoly_factorization': [[[41, 10, 1], 2]], 'hecke_orbit_code': 4505111489413940, 'p': 41}
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id: 1372763
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 43}
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id: 1372764
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 47}
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id: 1372765
{'charpoly_factorization': [[[578, -340, 246, -28, 1], 1]], 'hecke_orbit_code': 4505111489413940, 'p': 53}
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id: 1372766
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 59}
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id: 1372767
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 4505111489413940, 'p': 61}
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id: 1372768
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 67}
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id: 1372769
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 71}
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id: 1372770
{'charpoly_factorization': [[[1296, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4505111489413940, 'p': 73}
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id: 1372771
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 79}
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id: 1372772
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4505111489413940, 'p': 83}
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id: 1372773
{'charpoly_factorization': [[[28322, -6188, 594, -32, 1], 1]], 'hecke_orbit_code': 4505111489413940, 'p': 89}
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id: 1372774
{'charpoly_factorization': [[[37538, 7124, 662, 36, 1], 1]], 'hecke_orbit_code': 4505111489413940, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 23, 'hecke_orbit': 2, 'label': '820.2.w.b', 'level': 820, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 24886657
{'hecke_orbit_code': 4505111489413940, 'n': 1, 'trace_an': 4}
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id: 24886658
{'hecke_orbit_code': 4505111489413940, 'n': 2, 'trace_an': 4}
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id: 24886659
{'hecke_orbit_code': 4505111489413940, 'n': 3, 'trace_an': 0}
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id: 24886660
{'hecke_orbit_code': 4505111489413940, 'n': 4, 'trace_an': 0}
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id: 24886661
{'hecke_orbit_code': 4505111489413940, 'n': 5, 'trace_an': 0}
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id: 24886662
{'hecke_orbit_code': 4505111489413940, 'n': 6, 'trace_an': 0}
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id: 24886663
{'hecke_orbit_code': 4505111489413940, 'n': 7, 'trace_an': 0}
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id: 24886664
{'hecke_orbit_code': 4505111489413940, 'n': 8, 'trace_an': -8}
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id: 24886665
{'hecke_orbit_code': 4505111489413940, 'n': 9, 'trace_an': 0}
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