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mf_newforms • Show schema
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{'Nk2': 3328, 'analytic_conductor': 6.643553448170528, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 52, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 47, 'char_orbit_label': 'bu', 'char_order': 12, 'char_parity': 1, 'char_values': [832, 12, [703, 261, 769], [6, 12, 7]], 'cm_discs': [], 'conrey_index': 63, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 12, 14, 6, 1]], [5, [9, -18, 18, -6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9010360384226112, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 52, 12, 1, 12, 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': False, 'label': '832.2.bu.c', 'level': 832, '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, 13], 'level_radical': 26, 'minimal_twist': '208.2.bm.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 12, 'qexp_display': 'q+(-2-\\zeta_{12}+\\zeta_{12}^{2}+\\zeta_{12}^{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '832.2.bu', 'trace_display': [0, -6, 6, 8], 'trace_hash': 429243114774364335, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.063', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.981', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.047', 'prec': 17}, {'__RealLiteral__': 0, 'data': '49.349', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [-2, -1, 1, 1], [0, 0, 0, 0], [1, -1, 1, -1], [0, 0, 0, 0], [2, -2, 0, 2], [0, 0, 0, 0], [1, 2, -1, -4], [0, 0, 0, 0], [-4, -2, 2, -2], [0, 0, 0, 0], [0, 2, 3, -2], [0, 0, 0, 0], [-2, 1, 1, 1], [0, 0, 0, 0], [-2, -3, -2, 0], [0, 0, 0, 0], [3, 3, -5, 2], [0, 0, 0, 0], [-2, 0, 0, -2], [0, 0, 0, 0], [0, -1, -3, -1], [0, 0, 0, 0], [-3, 0, 6, -1], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [1, 2, 2, 1], [0, 0, 0, 0], [8, 8, -4, -4], [0, 0, 0, 0], [4, -6, 4, 0], [0, 0, 0, 0], [5, 1, -6, -6], [0, 0, 0, 0], [-5, -5, -1, 4], [0, 0, 0, 0], [-5, -1, 4, -4], [0, 0, 0, 0], [2, 0, -2, 0], [0, 0, 0, 0], [-4, 4, -1, -5], [0, 0, 0, 0], [7, 2, -2, -7], [0, 0, 0, 0], [8, -1, -4, 1], [0, 0, 0, 0], [9, 10, 0, -5], [0, 0, 0, 0], [6, 2, 0, -1], [0, 0, 0, 0], [-12, 6, 6, -6], [0, 0, 0, 0], [-4, -6, 6, 4], [0, 0, 0, 0], [-4, 4, 2, -2], [0, 0, 0, 0], [0, -3, 0, 6], [0, 0, 0, 0], [-2, 4, 6, -6], [0, 0, 0, 0], [-5, 7, 4, -8], [0, 0, 0, 0], [6, 1, -7, -7], [0, 0, 0, 0], [4, 6, 4, 0], [0, 0, 0, 0], [1, 1, 1, -2], [0, 0, 0, 0], [-2, -3, -3, -2], [0, 0, 0, 0], [0, -2, -8, -2], [0, 0, 0, 0], [-4, 0, 8, -12], [0, 0, 0, 0], [6, 0, -12, -2], [0, 0, 0, 0], [0, 2, -1, 2], [0, 0, 0, 0], [-6, 6, 6, -6], [0, 0, 0, 0], [-3, -3, 0, 3], [0, 0, 0, 0], [3, 3, 3, 0], [0, 0, 0, 0], [6, -3, -3, -3], [0, 0, 0, 0], [-4, -2, 10, -4], [0, 0, 0, 0], [-6, -8, -2, 2], [0, 0, 0, 0], [15, -7, -15, 14], [0, 0, 0, 0], [7, -7, -1, 6], [0, 0, 0, 0], [-14, -4, 4, 14], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [-2, -1, 1, 1], [1, -1, 1, -1], [2, -2, 0, 2], [-4, -2, 2, -2], [0, 2, 3, -2], [-2, -3, -2, 0], [3, 3, -5, 2], [0, -1, -3, -1], [0, 0, -3, 0], [1, 2, 2, 1], [5, 1, -6, -6], [-5, -1, 4, -4], [2, 0, -2, 0], [7, 2, -2, -7], [6, 2, 0, -1], [-4, 4, 2, -2], [0, -3, 0, 6], [6, 1, -7, -7], [1, 1, 1, -2], [-2, -3, -3, -2], [6, 0, -12, -2], [-6, 6, 6, -6], [6, -3, -3, -3], [7, -7, -1, 6], [4, -9, -2, 9], [5, -6, 0, 3], [-2, -15, 1, 15], [-3, -10, 10, 3], [6, -1, -6, 2], [0, -7, 3, -7], [-1, 0, 2, -3], [-4, -4, -7, 11], [-6, 0, -6, 0], [3, -3, 6, 9], [-11, -2, 2, 11], [-1, 0, 0, 0], [0, 0, -10, -10], [0, 6, 6, -6], [-6, -6, -6, 0], [0, -2, 6, -2], [5, 0, -10, 0], [-5, 9, -5, 0], [-1, 1, 0, 0], [-2, -13, -11, 11], [-3, 9, 3, -18], [6, -11, -3, 11], [0, 7, -7, -7], [9, 9, -9, 0], [-1, 6, 6, -1], [-6, 0, 12, -12], [-4, 14, 14, -4], [-4, -4, -3, 7], [3, 1, -3, -2], [-2, 18, 1, -18], [4, -12, -2, 12], [24, 4, -24, -8], [10, -8, -18, 18], [6, 15, 6, 0], [3, -15, -15, 3], [0, 2, -12, 2], [4, 4, 13, -17], [-5, -8, 8, 5], [9, 10, 0, -5], [-24, 12, 0, -6], [-8, -1, 1, 8], [-16, -16, 16, 0], [0, 0, 0, 7], [3, 21, 3, 0], [18, -11, -7, -7], [5, -8, -13, 13], [-8, -16, 16, 8], [18, 9, -9, -9], [-15, 10, 15, -20], [-12, -5, 17, 17], [-12, -12, -12, 24], [-7, 0, 14, -12], [1, 1, -15, 14], [5, -16, 11, 11], [13, -13, -6, 7], [10, -15, -5, 15], [18, 17, -17, -18], [-8, -14, 22, 22], [3, -20, 3, 0], [0, -6, -20, -6], [16, 0, -32, 12], [-5, -5, 19, -14], [-1, -1, 0, 0], [19, -19, -14, 5], [-8, 6, -6, 8], [-12, 24, 0, -12], [16, 23, 7, -7], [2, 2, -12, 10], [0, 2, 24, 2], [-7, 6, 6, -7], [0, -24, 0, 0], [1, 2, 1, -1], [18, 22, 0, -11], [-8, 30, 4, -30], [-16, 9, 9, -16], [-3, 0, 6, -3], [17, -10, -7, -7], [36, -2, -36, 4], [4, 0, -2, 0], [-30, -4, 0, 2], [-10, 5, -5, 10], [-30, 12, 18, 18], [-14, -11, -11, -14], [-3, 0, 6, 9], [0, 15, 0, 15], [19, 9, 19, 0], [3, -17, -20, 20], [-18, 18, -15, -33], [14, 14, -14, -14], [-16, 16, -8, -24], [8, 27, 8, 0], [-6, -6, 14, -8], [0, 19, -9, 19], [0, 8, 0, 8], [-2, -6, -2, 0], [7, -9, 2, 2], [-12, 15, 6, -15], [0, 16, 0, -8], [-31, 31, 23, -8], [4, -24, 20, 20], [-4, 0, 8, -18], [25, 25, -18, -7], [-24, 6, 24, -12], [-12, 16, 0, -8], [-15, -5, 5, 15], [12, 14, 2, -2], [2, -10, 8, 8], [0, 12, 26, 12], [0, 4, -6, 4], [-19, -19, -7, 26], [-10, 9, 19, -19], [-17, 17, 13, -4], [7, -7, -25, -18], [-2, 0, -2, 0], [0, -7, -30, -7], [7, 2, 2, 7], [-2, 11, 13, -13], [-16, 6, 16, -12], [16, -4, 4, -16], [24, -13, -12, 13], [3, -3, -15, -12], [-11, 11, 11, -11], [-3, 0, 6, 0], [15, 0, -30, -17], [32, -22, -22, 32], [24, -24, -11, 13], [-26, -12, 13, 12], [3, -18, 0, 9], [0, 24, 0, -24], [0, -4, 42, -4], [-8, 0, 16, -42], [9, 5, 9, 0], [7, -7, 10, 17], [3, -16, 0, 8], [15, 36, -36, -15], [-40, -23, 17, -17], [-12, 24, -12, 0], [17, -8, -8, 17], [-1, 33, -1, 0], [13, 29, 16, -16], [13, 26, -26, -13], [2, -15, -1, 15], [10, 15, -10, -30]], 'char_orbit_index': 47, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 9010360384226112, 'hecke_ring_character_values': [[703, [-1, 0, 0, 0]], [261, [1, 0, 0, 0]], [769, [0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '832.2.bu.c', 'level': 832, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3328, 'analytic_conductor': 6.643553448170528, 'char_conductor': 52, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 47, 'char_orbit_label': 'bu', 'char_order': 12, 'char_parity': 1, 'char_values': [832, 12, [703, 261, 769], [6, 12, 7]], 'conrey_index': 63, 'cusp_dim': 400, 'dim': 104, 'eis_dim': 96, 'eis_new_dim': 16, 'hecke_cutter_primes': [3, 5], 'hecke_orbit_code': 3161129485120, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 16, 16, 16], 'label': '832.2.bu', 'level': 832, '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, 13], 'level_radical': 26, 'mf_dim': 496, 'mf_new_dim': 120, 'num_forms': 14, 'prim_orbit_index': 12, 'relative_dim': 26, 'sturm_bound': 224, 'trace_bound': 7, 'trace_display': [0, 0, 8, 0], 'traces': [104, 0, 0, 0, 8, 0, 0, 0, 40, 0, 0, 0, 8, 0, 0, 0, -12, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -20, 0, 0, 0, 24, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 16, 0, 0, 0, -20, 0, 0, 0, 4, 0, 0, 0, -24, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 28, 0, 0, 0, -16, 0, 0, 0, 84, 0, 0, 0, -16, 0, 0, 0, 12, 0, 0, 0, -40, 0, 0, 0, 72, 0, 0, 0, -4, 0, 0, 0, -64, 0, 0, 0, -12, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, -16, 0, 0, 0, 20, 0, 0, 0, -36, 0, 0, 0, 200, 0, 0, 0, -48, 0, 0, 0, -240, 0, 0, 0, 52, 0, 0, 0, 60, 0, 0, 0, 32, 0, 0, 0, -132, 0, 0, 0, -20, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, -104, 0, 0, 0, 40, 0, 0, 0, -88, 0, 0, 0, -84, 0, 0, 0, -276, 0, 0, 0, -16, 0, 0, 0, -220, 0, 0, 0, -4, 0, 0, 0, -36, 0, 0, 0, 216, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, -96, 0, 0, 0, -8, 0, 0, 0, -148, 0, 0, 0, 12, 0, 0, 0, 108, 0, 0, 0, -32, 0, 0, 0, 72, 0, 0, 0, 4, 0, 0, 0, -148, 0, 0, 0, 12, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, -40, 0, 0, 0, 168, 0, 0, 0, -212, 0, 0, 0, -84, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, -24, 0, 0, 0, -28, 0, 0, 0, 112, 0, 0, 0, -12, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -60, 0, 0, 0, -44, 0, 0, 0, 136, 0, 0, 0, 32, 0, 0, 0, -48, 0, 0, 0, -12, 0, 0, 0, 368, 0, 0, 0, -120, 0, 0, 0, 4, 0, 0, 0, 52, 0, 0, 0, 492, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 248, 0, 0, 0, 96, 0, 0, 0, 100, 0, 0, 0, 72, 0, 0, 0, 252, 0, 0, 0, 344, 0, 0, 0, 280, 0, 0, 0, 200, 0, 0, 0, 180, 0, 0, 0, -36, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, -92, 0, 0, 0, 352, 0, 0, 0, 244, 0, 0, 0, 8, 0, 0, 0, 104, 0, 0, 0, -336, 0, 0, 0, 144, 0, 0, 0, -124, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 12, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -132, 0, 0, 0, 52, 0, 0, 0, -36, 0, 0, 0, 296, 0, 0, 0, 328, 0, 0, 0, 12, 0, 0, 0, 48, 0, 0, 0, 52, 0, 0, 0, 32, 0, 0, 0, -8, 0, 0, 0, -12, 0, 0, 0, -136, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, -8, 0, 0, 0, -176, 0, 0, 0, 180, 0, 0, 0, -12, 0, 0, 0, -760, 0, 0, 0, -80, 0, 0, 0, -108, 0, 0, 0, 200, 0, 0, 0, -564, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, -552, 0, 0, 0, 132, 0, 0, 0, -120, 0, 0, 0, 224, 0, 0, 0, -804, 0, 0, 0, -104, 0, 0, 0, -388, 0, 0, 0, -28, 0, 0, 0, -84, 0, 0, 0, -108, 0, 0, 0, -496, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, -312, 0, 0, 0, 156, 0, 0, 0, -220, 0, 0, 0, -204, 0, 0, 0, -144, 0, 0, 0, -148, 0, 0, 0, 68, 0, 0, 0, -144, 0, 0, 0, -96, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -8, 0, 0, 0, -44, 0, 0, 0, -572, 0, 0, 0, 96, 0, 0, 0, -288, 0, 0, 0, -56, 0, 0, 0, 88, 0, 0, 0, -36, 0, 0, 0, 84, 0, 0, 0, -12, 0, 0, 0, 452, 0, 0, 0, 0, 0, 0, 0, -156, 0, 0, 0, -16, 0, 0, 0, 368, 0, 0, 0, 64, 0, 0, 0, -328, 0, 0, 0, -48, 0, 0, 0, 784, 0, 0, 0, -88, 0, 0, 0, 108, 0, 0, 0, -20, 0, 0, 0, 972, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 660, 0, 0, 0, -92, 0, 0, 0, -8, 0, 0, 0, 88, 0, 0, 0, 732, 0, 0, 0, -424, 0, 0, 0, 232, 0, 0, 0, -16, 0, 0, 0, 104, 0, 0, 0, -300, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, -284, 0, 0, 0, -16, 0, 0, 0, -136, 0, 0, 0, 312, 0, 0, 0, 252, 0, 0, 0, 648, 0, 0, 0, 148, 0, 0, 0, -92, 0, 0, 0, -236, 0, 0, 0, 216, 0, 0, 0, 168, 0, 0, 0, 0, 0, 0, 0, -100, 0, 0, 0, -48, 0, 0, 0, -116, 0, 0, 0, 396, 0, 0, 0, -344, 0, 0, 0, 336, 0, 0, 0, -160, 0, 0, 0, -216, 0, 0, 0, -52, 0, 0, 0, -24, 0, 0, 0, -12, 0, 0, 0, -164, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, -432, 0, 0, 0, -60, 0, 0, 0, -120, 0, 0, 0, 16, 0, 0, 0, -132, 0, 0, 0, -744, 0, 0, 0, 492, 0, 0, 0, 36, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 524556
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 47, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '832.2.bu.c', 'source_level': 832, 'target_char_orbit': 39, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '208.2.bm.a', 'target_level': 208, 'twist_class_label': '208.2.bm.a', 'twist_class_level': 208, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 524557
{'conductor': 104, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 47, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '832.2.bu.c', 'source_level': 832, 'target_char_orbit': 39, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '208.2.bm.a', 'target_level': 208, 'twist_class_label': '208.2.bm.a', 'twist_class_level': 208, 'twisting_char_label': '104.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 524558
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 47, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '832.2.bu.c', 'source_level': 832, 'target_char_orbit': 39, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '208.2.bm.d', 'target_level': 208, 'twist_class_label': '208.2.bm.a', 'twist_class_level': 208, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 524559
{'conductor': 104, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 47, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '832.2.bu.c', 'source_level': 832, 'target_char_orbit': 39, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': True, 'target_label': '208.2.bm.d', 'target_level': 208, 'twist_class_label': '208.2.bm.a', 'twist_class_level': 208, 'twisting_char_label': '104.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 524560
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 47, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '832.2.bu.c', 'source_level': 832, 'target_char_orbit': 47, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '832.2.bu.c', 'target_level': 832, 'twist_class_label': '208.2.bm.a', 'twist_class_level': 208, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 524561
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 47, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '832.2.bu.c', 'source_level': 832, 'target_char_orbit': 47, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '832.2.bu.c', 'target_level': 832, 'twist_class_label': '208.2.bm.a', 'twist_class_level': 208, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 524562
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 47, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '832.2.bu.c', 'source_level': 832, 'target_char_orbit': 47, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '832.2.bu.h', 'target_level': 832, 'twist_class_label': '208.2.bm.a', 'twist_class_level': 208, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 524563
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 47, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '832.2.bu.c', 'source_level': 832, 'target_char_orbit': 47, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '832.2.bu.h', 'target_level': 832, 'twist_class_label': '208.2.bm.a', 'twist_class_level': 208, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1385275
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 9010360384226112, 'p': 2}
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id: 1385276
{'charpoly_factorization': [[[4, 12, 14, 6, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 3}
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id: 1385277
{'charpoly_factorization': [[[9, -18, 18, -6, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 5}
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id: 1385278
{'charpoly_factorization': [[[16, -16, 20, -8, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 7}
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id: 1385279
{'charpoly_factorization': [[[576, 288, 72, 12, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 11}
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id: 1385280
{'charpoly_factorization': [[[169, -78, 23, -6, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 13}
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id: 1385281
{'charpoly_factorization': [[[9, 36, 51, 12, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 17}
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id: 1385282
{'charpoly_factorization': [[[676, -364, 50, -2, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 19}
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id: 1385283
{'charpoly_factorization': [[[36, 36, 30, 6, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 23}
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id: 1385284
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 9010360384226112, 'p': 29}
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id: 1385285
{'charpoly_factorization': [[[4, -16, 32, -8, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 31}
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id: 1385286
{'charpoly_factorization': [[[169, -286, 137, -8, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 37}
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id: 1385287
{'charpoly_factorization': [[[1089, 594, 117, 12, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 41}
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id: 1385288
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 9010360384226112, 'p': 43}
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id: 1385289
{'charpoly_factorization': [[[4356, -1584, 288, -24, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 47}
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id: 1385290
{'charpoly_factorization': [[[33, -12, 1], 2]], 'hecke_orbit_code': 9010360384226112, 'p': 53}
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id: 1385291
{'charpoly_factorization': [[[144, 0, 36, 12, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 59}
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id: 1385292
{'charpoly_factorization': [[[729, 0, 27, 0, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 61}
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id: 1385293
{'charpoly_factorization': [[[484, -572, 194, -10, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 67}
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id: 1385294
{'charpoly_factorization': [[[36, -36, 18, -6, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 71}
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id: 1385295
{'charpoly_factorization': [[[121, 154, 98, 14, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 73}
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id: 1385296
{'charpoly_factorization': [[[10816, 0, 224, 0, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 79}
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id: 1385297
{'charpoly_factorization': [[[1296, -432, 72, 12, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 83}
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id: 1385298
{'charpoly_factorization': [[[2916, -972, 162, -18, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 89}
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id: 1385299
{'charpoly_factorization': [[[484, -220, 194, -26, 1], 1]], 'hecke_orbit_code': 9010360384226112, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 47, 'hecke_orbit': 3, 'label': '832.2.bu.c', 'level': 832, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 32271649
{'hecke_orbit_code': 9010360384226112, 'n': 1, 'trace_an': 4}
-
id: 32271650
{'hecke_orbit_code': 9010360384226112, 'n': 2, 'trace_an': 0}
-
id: 32271651
{'hecke_orbit_code': 9010360384226112, 'n': 3, 'trace_an': -6}
-
id: 32271652
{'hecke_orbit_code': 9010360384226112, 'n': 4, 'trace_an': 0}
-
id: 32271653
{'hecke_orbit_code': 9010360384226112, 'n': 5, 'trace_an': 6}
-
id: 32271654
{'hecke_orbit_code': 9010360384226112, 'n': 6, 'trace_an': 0}
-
id: 32271655
{'hecke_orbit_code': 9010360384226112, 'n': 7, 'trace_an': 8}
-
id: 32271656
{'hecke_orbit_code': 9010360384226112, 'n': 8, 'trace_an': 0}
-
id: 32271657
{'hecke_orbit_code': 9010360384226112, 'n': 9, 'trace_an': 2}
-
id: 32271658
{'hecke_orbit_code': 9010360384226112, 'n': 10, 'trace_an': 0}
-
id: 32271659
{'hecke_orbit_code': 9010360384226112, 'n': 11, 'trace_an': -12}
-
id: 32271660
{'hecke_orbit_code': 9010360384226112, 'n': 12, 'trace_an': 0}
-
id: 32271661
{'hecke_orbit_code': 9010360384226112, 'n': 13, 'trace_an': 6}
-
id: 32271662
{'hecke_orbit_code': 9010360384226112, 'n': 14, 'trace_an': 0}
-
id: 32271663
{'hecke_orbit_code': 9010360384226112, 'n': 15, 'trace_an': -6}
-
id: 32271664
{'hecke_orbit_code': 9010360384226112, 'n': 16, 'trace_an': 0}
-
id: 32271665
{'hecke_orbit_code': 9010360384226112, 'n': 17, 'trace_an': -12}
-
id: 32271666
{'hecke_orbit_code': 9010360384226112, 'n': 18, 'trace_an': 0}
-
id: 32271667
{'hecke_orbit_code': 9010360384226112, 'n': 19, 'trace_an': 2}
-
id: 32271668
{'hecke_orbit_code': 9010360384226112, 'n': 20, 'trace_an': 0}
-
id: 32271669
{'hecke_orbit_code': 9010360384226112, 'n': 21, 'trace_an': -8}
-
id: 32271670
{'hecke_orbit_code': 9010360384226112, 'n': 22, 'trace_an': 0}
-
id: 32271671
{'hecke_orbit_code': 9010360384226112, 'n': 23, 'trace_an': -6}
-
id: 32271672
{'hecke_orbit_code': 9010360384226112, 'n': 24, 'trace_an': 0}
-
id: 32271673
{'hecke_orbit_code': 9010360384226112, 'n': 25, 'trace_an': 0}
-
id: 32271674
{'hecke_orbit_code': 9010360384226112, 'n': 26, 'trace_an': 0}
-
id: 32271675
{'hecke_orbit_code': 9010360384226112, 'n': 27, 'trace_an': 0}
-
id: 32271676
{'hecke_orbit_code': 9010360384226112, 'n': 28, 'trace_an': 0}
-
id: 32271677
{'hecke_orbit_code': 9010360384226112, 'n': 29, 'trace_an': -6}
-
id: 32271678
{'hecke_orbit_code': 9010360384226112, 'n': 30, 'trace_an': 0}
-
id: 32271679
{'hecke_orbit_code': 9010360384226112, 'n': 31, 'trace_an': 8}
-
id: 32271680
{'hecke_orbit_code': 9010360384226112, 'n': 32, 'trace_an': 0}
-
id: 32271681
{'hecke_orbit_code': 9010360384226112, 'n': 33, 'trace_an': 24}
-
id: 32271682
{'hecke_orbit_code': 9010360384226112, 'n': 34, 'trace_an': 0}
-
id: 32271683
{'hecke_orbit_code': 9010360384226112, 'n': 35, 'trace_an': 24}
-
id: 32271684
{'hecke_orbit_code': 9010360384226112, 'n': 36, 'trace_an': 0}
-
id: 32271685
{'hecke_orbit_code': 9010360384226112, 'n': 37, 'trace_an': 8}
-
id: 32271686
{'hecke_orbit_code': 9010360384226112, 'n': 38, 'trace_an': 0}
-
id: 32271687
{'hecke_orbit_code': 9010360384226112, 'n': 39, 'trace_an': -22}
-
id: 32271688
{'hecke_orbit_code': 9010360384226112, 'n': 40, 'trace_an': 0}
-
id: 32271689
{'hecke_orbit_code': 9010360384226112, 'n': 41, 'trace_an': -12}
-
id: 32271690
{'hecke_orbit_code': 9010360384226112, 'n': 42, 'trace_an': 0}
-
id: 32271691
{'hecke_orbit_code': 9010360384226112, 'n': 43, 'trace_an': 4}
-
id: 32271692
{'hecke_orbit_code': 9010360384226112, 'n': 44, 'trace_an': 0}
-
id: 32271693
{'hecke_orbit_code': 9010360384226112, 'n': 45, 'trace_an': -18}
-
id: 32271694
{'hecke_orbit_code': 9010360384226112, 'n': 46, 'trace_an': 0}
-
id: 32271695
{'hecke_orbit_code': 9010360384226112, 'n': 47, 'trace_an': 24}
-
id: 32271696
{'hecke_orbit_code': 9010360384226112, 'n': 48, 'trace_an': 0}
-
id: 32271697
{'hecke_orbit_code': 9010360384226112, 'n': 49, 'trace_an': 24}
-
id: 32271698
{'hecke_orbit_code': 9010360384226112, 'n': 50, 'trace_an': 0}
-
id: 32271699
{'hecke_orbit_code': 9010360384226112, 'n': 51, 'trace_an': 36}
-
id: 32271700
{'hecke_orbit_code': 9010360384226112, 'n': 52, 'trace_an': 0}
-
id: 32271701
{'hecke_orbit_code': 9010360384226112, 'n': 53, 'trace_an': 24}
-
id: 32271702
{'hecke_orbit_code': 9010360384226112, 'n': 54, 'trace_an': 0}
-
id: 32271703
{'hecke_orbit_code': 9010360384226112, 'n': 55, 'trace_an': -36}
-
id: 32271704
{'hecke_orbit_code': 9010360384226112, 'n': 56, 'trace_an': 0}
-
id: 32271705
{'hecke_orbit_code': 9010360384226112, 'n': 57, 'trace_an': -4}
-
id: 32271706
{'hecke_orbit_code': 9010360384226112, 'n': 58, 'trace_an': 0}
-
id: 32271707
{'hecke_orbit_code': 9010360384226112, 'n': 59, 'trace_an': -12}
-
id: 32271708
{'hecke_orbit_code': 9010360384226112, 'n': 60, 'trace_an': 0}
-
id: 32271709
{'hecke_orbit_code': 9010360384226112, 'n': 61, 'trace_an': 0}
-
id: 32271710
{'hecke_orbit_code': 9010360384226112, 'n': 62, 'trace_an': 0}
-
id: 32271711
{'hecke_orbit_code': 9010360384226112, 'n': 63, 'trace_an': 4}
-
id: 32271712
{'hecke_orbit_code': 9010360384226112, 'n': 64, 'trace_an': 0}
-
id: 32271713
{'hecke_orbit_code': 9010360384226112, 'n': 65, 'trace_an': -12}
-
id: 32271714
{'hecke_orbit_code': 9010360384226112, 'n': 66, 'trace_an': 0}
-
id: 32271715
{'hecke_orbit_code': 9010360384226112, 'n': 67, 'trace_an': 10}
-
id: 32271716
{'hecke_orbit_code': 9010360384226112, 'n': 68, 'trace_an': 0}
-
id: 32271717
{'hecke_orbit_code': 9010360384226112, 'n': 69, 'trace_an': 24}
-
id: 32271718
{'hecke_orbit_code': 9010360384226112, 'n': 70, 'trace_an': 0}
-
id: 32271719
{'hecke_orbit_code': 9010360384226112, 'n': 71, 'trace_an': 6}
-
id: 32271720
{'hecke_orbit_code': 9010360384226112, 'n': 72, 'trace_an': 0}
-
id: 32271721
{'hecke_orbit_code': 9010360384226112, 'n': 73, 'trace_an': -14}
-
id: 32271722
{'hecke_orbit_code': 9010360384226112, 'n': 74, 'trace_an': 0}
-
id: 32271723
{'hecke_orbit_code': 9010360384226112, 'n': 75, 'trace_an': -16}
-
id: 32271724
{'hecke_orbit_code': 9010360384226112, 'n': 76, 'trace_an': 0}
-
id: 32271725
{'hecke_orbit_code': 9010360384226112, 'n': 77, 'trace_an': 0}
-
id: 32271726
{'hecke_orbit_code': 9010360384226112, 'n': 78, 'trace_an': 0}
-
id: 32271727
{'hecke_orbit_code': 9010360384226112, 'n': 79, 'trace_an': 0}
-
id: 32271728
{'hecke_orbit_code': 9010360384226112, 'n': 80, 'trace_an': 0}
-
id: 32271729
{'hecke_orbit_code': 9010360384226112, 'n': 81, 'trace_an': -2}
-
id: 32271730
{'hecke_orbit_code': 9010360384226112, 'n': 82, 'trace_an': 0}
-
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