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mf_newforms • Show schema
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{'Nk2': 1024, 'analytic_conductor': 2.044170291744778, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 32, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 8, 'char_parity': 1, 'char_values': [256, 8, [255, 5], [8, 7]], 'cm_discs': [], 'conrey_index': 33, '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, [2, -4, 2, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977785600, 'hecke_ring_generator_nbound': 5, '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, 32, 7, 1, 8, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '256.2.g.b', 'level': 256, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '32.2.g.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 7, 'qexp_display': 'q+(-\\zeta_{8}-\\zeta_{8}^{2})q^{3}+(1+\\zeta_{8}+2\\zeta_{8}^{2}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c8', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '256.2.g', 'trace_display': [0, 0, 4, 4], 'trace_hash': 986473573597790293, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.911', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '43.365', 'prec': 20}, {'__RealLiteral__': 0, 'data': '11.809', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, -1, -1, 0], [0, 0, 0, 0], [1, 1, 2, -2], [0, 0, 0, 0], [1, 0, 1, 0], [0, 0, 0, 0], [-1, 0, 1, -1], [0, 0, 0, 0], [2, -2, 1, 1], [0, 0, 0, 0], [-1, 0, 0, 1], [0, 0, 0, 0], [0, -3, -2, -3], [0, 0, 0, 0], [0, -2, 0, -2], [0, 0, 0, 0], [2, 3, -3, -2], [0, 0, 0, 0], [1, -1, -1, -1], [0, 0, 0, 0], [3, 0, -3, 4], [0, 0, 0, 0], [1, 5, 1, 0], [0, 0, 0, 0], [-3, -3, 1, -1], [0, 0, 0, 0], [1, -2, -2, 1], [0, 0, 0, 0], [-4, 0, 0, 0], [0, 0, 0, 0], [2, -1, 0, 1], [0, 0, 0, 0], [-1, 3, 3, -1], [0, 0, 0, 0], [-1, -1, 0, 0], [0, 0, 0, 0], [1, 2, 1, 0], [0, 0, 0, 0], [-3, 0, 3, 4], [0, 0, 0, 0], [-4, 4, 3, 3], [0, 0, 0, 0], [-2, 3, -3, 2], [0, 0, 0, 0], [0, 4, 6, 4], [0, 0, 0, 0], [0, 0, -5, 0], [0, 0, 0, 0], [-2, -2, 2, 2], [0, 0, 0, 0], [-1, 1, 4, 4], [0, 0, 0, 0], [-5, 0, 5, -6], [0, 0, 0, 0], [-5, -4, -5, 0], [0, 0, 0, 0], [4, 4, -1, 1], [0, 0, 0, 0], [-1, 0, 0, -1], [0, 0, 0, 0], [-2, 1, 0, -1], [0, 0, 0, 0], [-2, -3, 0, 3], [0, 0, 0, 0], [2, -3, -3, 2], [0, 0, 0, 0], [1, 1, -3, 3], [0, 0, 0, 0], [-3, 4, -3, 0], [0, 0, 0, 0], [7, 0, -7, 0], [0, 0, 0, 0], [1, -1, -6, -6], [0, 0, 0, 0], [1, -3, 3, -1], [0, 0, 0, 0], [0, 0, -6, 0], [0, 0, 0, 0], [0, 5, 3, 5], [0, 0, 0, 0], [-4, 1, -1, 4], [0, 0, 0, 0], [-2, 2, -6, -6], [0, 0, 0, 0], [-1, 0, 1, 4], [0, 0, 0, 0], [3, -8, 3, 0], [0, 0, 0, 0], [-1, -1, -1, 1], [0, 0, 0, 0], [0, 4, 4, 0], [0, 0, 0, 0], [16, 3, 0, -3], [0, 0, 0, 0], [-10, 6, 0, -6], [0, 0, 0, 0], [-5, 2, 2, -5], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, -1, -1, 0], [1, 1, 2, -2], [1, 0, 1, 0], [2, -2, 1, 1], [-1, 0, 0, 1], [0, -2, 0, -2], [2, 3, -3, -2], [3, 0, -3, 4], [1, -2, -2, 1], [-4, 0, 0, 0], [-1, -1, 0, 0], [-3, 0, 3, 4], [-4, 4, 3, 3], [0, 4, 6, 4], [-1, 1, 4, 4], [4, 4, -1, 1], [-1, 0, 0, -1], [2, -3, -3, 2], [-3, 4, -3, 0], [7, 0, -7, 0], [0, 0, -6, 0], [-4, 1, -1, 4], [3, -8, 3, 0], [-10, 6, 0, -6], [-5, -5, -4, 4], [1, -12, 1, 0], [2, -2, 1, 1], [5, -6, 6, -5], [0, 4, 12, 4], [-4, -12, 0, 12], [10, 1, 1, 10], [-3, 0, 3, -8], [-4, 4, -9, -9], [5, -5, 10, 10], [7, 0, -7, -12], [-1, 0, 0, -1], [-4, -9, -9, -4], [9, -8, 9, 0], [-1, 4, -4, 1], [8, 1, -1, -8], [-7, 7, -6, -6], [-12, 0, 0, 0], [-10, -6, 0, 6], [-11, -11, 2, -2], [1, 24, 1, 0], [-4, 9, -9, 4], [-4, 12, 0, -12], [-8, 7, 7, -8], [17, 17, -6, 6], [3, 0, -3, -8], [0, -8, -6, -8], [0, -6, 0, -6], [4, 4, 11, -11], [6, 0, 0, 0], [-3, 4, -3, 0], [-7, 10, -10, 7], [0, 0, -18, 0], [-1, 1, 0, 0], [-9, 4, -9, 0], [2, 2, 9, -9], [1, 1, 14, -14], [2, -9, 9, -2], [3, 0, -3, -8], [1, 12, 1, 0], [-11, -2, -2, -11], [2, -2, -3, -3], [0, -12, 0, -12], [-8, -8, -1, 1], [-7, 18, 18, -7], [6, 0, 0, 0], [-15, 4, -15, 0], [0, 0, 6, 0], [11, -11, -12, -12], [-4, -4, -21, 21], [0, 12, 0, -12], [19, 19, -4, 4], [17, -6, 6, -17], [0, -2, 0, -2], [13, -12, 13, 0], [-2, 13, 13, -2], [-7, -7, 6, -6], [0, 4, 18, 4], [0, 6, 24, 6], [-17, 0, 17, 0], [10, 10, 5, -5], [6, 18, 0, -18], [1, 0, -1, -12], [-7, -2, 2, 7], [0, 12, -6, 12], [-10, -17, 17, 10], [12, -12, 0, 12], [-11, 0, -11, 0], [-16, 16, -17, -17], [-4, -3, 3, 4], [3, 0, -3, -20], [7, -20, -20, 7], [9, 0, -9, -8], [-10, 10, -3, -3], [11, -12, -12, 11], [14, 9, 9, 14], [-13, 16, -16, 13], [-10, 7, -7, 10], [9, -8, 9, 0], [2, 2, -3, 3], [2, -12, 0, 12], [2, -2, 13, 13], [0, -20, 0, -20], [-21, 0, 21, -8], [-5, 24, -5, 0], [-16, 12, 0, -12], [-19, -19, -6, 6], [3, 0, -3, 28], [14, -14, -3, -3], [7, 0, -7, 36], [-18, -18, 0, 18], [2, 21, 21, 2], [9, 4, 9, 0], [17, 10, -10, -17], [8, -11, 11, -8], [17, -17, 18, 18], [14, -6, 0, 6], [-5, -5, 20, -20], [8, -8, -5, -5], [8, 21, -21, -8], [-5, -8, -8, -5], [-1, -1, 12, -12], [0, 4, -30, 4], [7, 0, -7, -24], [17, -6, -6, 17], [-4, -9, -9, -4], [9, -32, 9, 0], [0, -12, -6, -12], [17, -17, 6, 6], [-27, 4, -27, 0], [14, 6, 0, -6], [7, 7, 20, -20], [-4, -3, 3, 4], [7, -20, -20, 7], [-15, 0, 15, -20], [26, -26, -3, -3], [11, -11, 4, 4], [19, 0, -19, 24], [-14, -14, 17, -17], [-25, -12, -12, -25], [21, 16, 21, 0], [-25, 25, -12, -12], [21, 16, 21, 0], [-16, -16, -9, 9], [-12, -24, 0, 24], [17, 6, -6, -17], [0, 16, 0, 16], [-34, 15, -15, 34], [-9, 0, 9, 16], [8, -8, 3, 3], [0, 28, 6, 28], [-17, 0, 17, 12], [-18, -6, 0, 6], [19, 0, -19, 0], [-7, -2, 2, 7], [14, 19, -19, -14], [9, -8, 9, 0], [-23, -24, -23, 0], [-16, 16, 7, 7], [0, 10, 0, 10], [3, 0, -3, -32], [-16, 0, 0, 0], [11, 11, -24, 24]], 'char_orbit_index': 7, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 4504011977785600, 'hecke_ring_character_values': [[255, [1, 0, 0, 0]], [5, [0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '256.2.g.b', 'level': 256, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1024, 'analytic_conductor': 2.044170291744778, 'char_conductor': 32, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 8, 'char_parity': 1, 'char_values': [256, 8, [255, 5], [8, 7]], 'conrey_index': 33, 'cusp_dim': 96, 'dim': 24, 'eis_dim': 64, 'eis_new_dim': 16, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 412350415104, 'hecke_orbit_dims': [4, 4, 8, 8], 'label': '256.2.g', 'level': 256, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 160, 'mf_new_dim': 40, 'num_forms': 4, 'prim_orbit_index': 7, 'relative_dim': 6, 'sturm_bound': 64, 'trace_bound': 7, 'trace_display': [0, 0, 8, 0], 'traces': [24, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, -16, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -8, 0, 0, 0, -56, 0, 0, 0, -16, 0, 0, 0, -56, 0, 0, 0, -8, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -8, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 8, 0, 0, 0, 48, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 56, 0, 0, 0, 104, 0, 0, 0, -16, 0, 0, 0, 104, 0, 0, 0, 56, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 40, 0, 0, 0, 64, 0, 0, 0, 8, 0, 0, 0, -16, 0, 0, 0, -40, 0, 0, 0, -8, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, -8, 0, 0, 0, -128, 0, 0, 0, -16, 0, 0, 0, -152, 0, 0, 0, -8, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, 72, 0, 0, 0, 72, 0, 0, 0, -72, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -136, 0, 0, 0, 168, 0, 0, 0, 48, 0, 0, 0, 168, 0, 0, 0, -136, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, -72, 0, 0, 0, -24, 0, 0, 0, 88, 0, 0, 0, -88, 0, 0, 0, -80, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, -8, 0, 0, 0, -152, 0, 0, 0, -16, 0, 0, 0, -112, 0, 0, 0, 48, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 112, 0, 0, 0, -24, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 120, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, 184, 0, 0, 0, 288, 0, 0, 0, -16, 0, 0, 0, 264, 0, 0, 0, 184, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 120, 0, 0, 0, 72, 0, 0, 0, -16, 0, 0, 0, -88, 0, 0, 0, 128, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, 8, 0, 0, 0, -248, 0, 0, 0, -16, 0, 0, 0, -248, 0, 0, 0, -8, 0, 0, 0, -152, 0, 0, 0, 0, 0, 0, 0, -152, 0, 0, 0, -72, 0, 0, 0, 32, 0, 0, 0, -80, 0, 0, 0, 112, 0, 0, 0, -200, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 328, 0, 0, 0, -200, 0, 0, 0, 168, 0, 0, 0, -144, 0, 0, 0, 80, 0, 0, 0, -200, 0, 0, 0, 184, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -200, 0, 0, 0, 8, 0, 0, 0, -80, 0, 0, 0, -88, 0, 0, 0, -16, 0, 0, 0, -280, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -8, 0, 0, 0, -288, 0, 0, 0, -16, 0, 0, 0, -312, 0, 0, 0, 40, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 120, 0, 0, 0, -88, 0, 0, 0, -16, 0, 0, 0, 104, 0, 0, 0, 184, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 248, 0, 0, 0, 224, 0, 0, 0, -16, 0, 0, 0, 248, 0, 0, 0, 248, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 136, 0, 0, 0, 128, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 8, 0, 0, 0, 120, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 128, 0, 0, 0, -216, 0, 0, 0, 224, 0, 0, 0, -216, 0, 0, 0, -192, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, 104, 0, 0, 0, 112, 0, 0, 0, 72, 0, 0, 0, -264, 0, 0, 0, 232, 0, 0, 0, 0, 0, 0, 0, 232, 0, 0, 0, -328, 0, 0, 0, 192, 0, 0, 0, 240, 0, 0, 0, 424, 0, 0, 0, -272, 0, 0, 0, 136, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -264, 0, 0, 0, 168, 0, 0, 0, 112, 0, 0, 0, -16, 0, 0, 0, -200, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, -88, 0, 0, 0, -280, 0, 0, 0, 256, 0, 0, 0, -64, 0, 0, 0, 56, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 184, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, 240, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, 192, 0, 0, 0, 80, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 248, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 312, 0, 0, 0, -88, 0, 0, 0, -16, 0, 0, 0, -88, 0, 0, 0, 184, 0, 0, 0, -280, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, 56, 0, 0, 0, -216, 0, 0, 0, -232, 0, 0, 0, -336, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, 0, 0, 0, 0, -184, 0, 0, 0, -264, 0, 0, 0, -184, 0, 0, 0, -272, 0, 0, 0, -24, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 203482
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '32.2.g.a', 'target_level': 32, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 203483
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '32.2.g.a', 'target_level': 32, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 203484
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '128.2.g.a', 'target_level': 128, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 203485
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '128.2.g.a', 'target_level': 128, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 203486
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '256.2.g.a', 'target_level': 256, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 203487
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '256.2.g.a', 'target_level': 256, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 203488
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '256.2.g.b', 'target_level': 256, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 203489
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '256.2.g.b', 'target_level': 256, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 203490
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.2.v.a', 'target_level': 288, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 203491
{'conductor': 96, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '288.2.v.a', 'target_level': 288, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '96.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 203492
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '512.2.g.a', 'target_level': 512, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 203493
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '512.2.g.a', 'target_level': 512, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 203494
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '512.2.g.b', 'target_level': 512, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 203495
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '512.2.g.b', 'target_level': 512, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 203496
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '512.2.g.c', 'target_level': 512, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 203497
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '512.2.g.c', 'target_level': 512, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '32.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 203498
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '512.2.g.d', 'target_level': 512, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 203499
{'conductor': 32, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '512.2.g.d', 'target_level': 512, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '32.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 203500
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '800.2.y.a', 'target_level': 800, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 203501
{'conductor': 160, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 25, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '800.2.y.a', 'target_level': 800, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '160.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 203502
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '800.2.ba.a', 'target_level': 800, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 203503
{'conductor': 160, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '800.2.ba.a', 'target_level': 800, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '160.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 203504
{'conductor': 40, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '800.2.ba.b', 'target_level': 800, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '40.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 203505
{'conductor': 160, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 27, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '800.2.ba.b', 'target_level': 800, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '160.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 203506
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1152.2.v.a', 'target_level': 1152, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 203507
{'conductor': 96, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 22, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1152.2.v.a', 'target_level': 1152, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '96.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 203508
{'conductor': 64, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4096.2.a.e', 'target_level': 4096, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '64.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 203509
{'conductor': 64, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '256.2.g.b', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4096.2.a.f', 'target_level': 4096, 'twist_class_label': '32.2.g.a', 'twist_class_level': 32, 'twisting_char_label': '64.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 594300
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4504011977785600, 'p': 2}
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id: 594301
{'charpoly_factorization': [[[2, -4, 2, 0, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 3}
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id: 594302
{'charpoly_factorization': [[[98, -28, 6, -4, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 5}
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id: 594303
{'charpoly_factorization': [[[2, -2, 1], 2]], 'hecke_orbit_code': 4504011977785600, 'p': 7}
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id: 594304
{'charpoly_factorization': [[[2, 4, 18, -8, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 11}
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id: 594305
{'charpoly_factorization': [[[2, 4, 6, 4, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 13}
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id: 594306
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 4504011977785600, 'p': 17}
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id: 594307
{'charpoly_factorization': [[[578, -68, 18, -8, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 19}
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id: 594308
{'charpoly_factorization': [[[4, -24, 72, -12, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 23}
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id: 594309
{'charpoly_factorization': [[[98, -28, 6, -4, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 29}
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id: 594310
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 4504011977785600, 'p': 31}
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id: 594311
{'charpoly_factorization': [[[2, 4, 6, 4, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 37}
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id: 594312
{'charpoly_factorization': [[[4, 24, 72, 12, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 41}
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id: 594313
{'charpoly_factorization': [[[1922, 868, 162, 16, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 43}
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id: 594314
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 47}
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id: 594315
{'charpoly_factorization': [[[98, -140, 54, 4, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 53}
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id: 594316
{'charpoly_factorization': [[[1058, -460, 114, -16, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 59}
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id: 594317
{'charpoly_factorization': [[[2, 4, 6, 4, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 61}
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id: 594318
{'charpoly_factorization': [[[578, -68, 18, -8, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 67}
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id: 594319
{'charpoly_factorization': [[[4, 24, 72, 12, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 71}
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id: 594320
{'charpoly_factorization': [[[98, -14, 1], 2]], 'hecke_orbit_code': 4504011977785600, 'p': 73}
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id: 594321
{'charpoly_factorization': [[[36, 0, 1], 2]], 'hecke_orbit_code': 4504011977785600, 'p': 79}
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id: 594322
{'charpoly_factorization': [[[1058, 460, 114, 16, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 83}
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id: 594323
{'charpoly_factorization': [[[2116, 552, 72, -12, 1], 1]], 'hecke_orbit_code': 4504011977785600, 'p': 89}
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id: 594324
{'charpoly_factorization': [[[28, 20, 1], 2]], 'hecke_orbit_code': 4504011977785600, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '256.2.g.b', 'level': 256, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 88000000
{'hecke_orbit_code': 4504011977785600, 'n': 1, 'trace_an': 4}
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id: 88000001
{'hecke_orbit_code': 4504011977785600, 'n': 2, 'trace_an': 0}
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id: 88000002
{'hecke_orbit_code': 4504011977785600, 'n': 3, 'trace_an': 0}
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id: 88000003
{'hecke_orbit_code': 4504011977785600, 'n': 4, 'trace_an': 0}
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id: 88000004
{'hecke_orbit_code': 4504011977785600, 'n': 5, 'trace_an': 4}
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id: 88000005
{'hecke_orbit_code': 4504011977785600, 'n': 6, 'trace_an': 0}
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id: 88000006
{'hecke_orbit_code': 4504011977785600, 'n': 7, 'trace_an': 4}
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id: 88000007
{'hecke_orbit_code': 4504011977785600, 'n': 8, 'trace_an': 0}
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id: 88000008
{'hecke_orbit_code': 4504011977785600, 'n': 9, 'trace_an': -4}
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id: 88000009
{'hecke_orbit_code': 4504011977785600, 'n': 10, 'trace_an': 0}
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id: 88000010
{'hecke_orbit_code': 4504011977785600, 'n': 11, 'trace_an': 8}
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id: 88000011
{'hecke_orbit_code': 4504011977785600, 'n': 12, 'trace_an': 0}
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id: 88000012
{'hecke_orbit_code': 4504011977785600, 'n': 13, 'trace_an': -4}
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id: 88000013
{'hecke_orbit_code': 4504011977785600, 'n': 14, 'trace_an': 0}
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id: 88000014
{'hecke_orbit_code': 4504011977785600, 'n': 15, 'trace_an': 0}
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id: 88000015
{'hecke_orbit_code': 4504011977785600, 'n': 16, 'trace_an': 0}
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id: 88000016
{'hecke_orbit_code': 4504011977785600, 'n': 17, 'trace_an': 0}
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id: 88000017
{'hecke_orbit_code': 4504011977785600, 'n': 18, 'trace_an': 0}
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id: 88000018
{'hecke_orbit_code': 4504011977785600, 'n': 19, 'trace_an': 8}
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id: 88000019
{'hecke_orbit_code': 4504011977785600, 'n': 20, 'trace_an': 0}
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id: 88000020
{'hecke_orbit_code': 4504011977785600, 'n': 21, 'trace_an': 4}
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id: 88000021
{'hecke_orbit_code': 4504011977785600, 'n': 22, 'trace_an': 0}
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id: 88000022
{'hecke_orbit_code': 4504011977785600, 'n': 23, 'trace_an': 12}
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id: 88000023
{'hecke_orbit_code': 4504011977785600, 'n': 24, 'trace_an': 0}
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id: 88000024
{'hecke_orbit_code': 4504011977785600, 'n': 25, 'trace_an': 4}
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id: 88000025
{'hecke_orbit_code': 4504011977785600, 'n': 26, 'trace_an': 0}
-
id: 88000026
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id: 88000937
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id: 88000941
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id: 88000942
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id: 88000943
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id: 88000944
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id: 88000945
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id: 88000946
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id: 88000948
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id: 88000949
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id: 88000950
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id: 88000951
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id: 88000955
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id: 88000959
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id: 88000960
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id: 88000961
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id: 88000965
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id: 88000971
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id: 88000972
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id: 88000973
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id: 88000974
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id: 88000975
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id: 88000977
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id: 88000979
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id: 88000980
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id: 88000981
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id: 88000982
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id: 88000987
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id: 88000988
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id: 88000989
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id: 88000990
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id: 88000991
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id: 88000992
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id: 88000993
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id: 88000995
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id: 88000997
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id: 88000999
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