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mf_newforms • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [507, 2, [170, 340], [2, 1]], 'cm_discs': [], 'conrey_index': 337, 'conrey_indexes': [337], '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': [[2, [1, 0, 6, 0, 1]], [5, [8, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014467262513659, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '507.2.b.e', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '39.2.a.b', 'nf_label': '4.0.256.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\zeta_{8}q^{2}+q^{3}+(-1-\\zeta_{8}^{3})q^{4}+(-\\zeta_{8}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '507.2.b', 'trace_display': [0, 4, 0, 0], 'trace_hash': 1638789443364030244, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.719', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '71.828', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [1, 0, 0, 0], [-1, 0, 0, -1], [0, -1, 1, 0], [0, 1, 0, 0], [0, -1, 1, 0], [0, -2, -1, 0], [1, 0, 0, 0], [4, 0, 0, 1], [0, -1, -1, 0], [-1, 0, 0, -1], [0, 0, 0, 0], [4, 0, 0, 1], [0, -1, 1, 0], [3, 0, 0, 0], [-2, 0, 0, 2], [0, 1, 0, 0], [0, -1, 1, 0], [0, 5, 3, 0], [0, -1, 1, 0], [2, 0, 0, 1], [4, 0, 0, 0], [0, -2, -1, 0], [-3, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, 5, 3, 0], [2, 0, 0, 0], [4, 0, 0, 1], [0, 3, 1, 0], [0, -1, -2, 0], [0, -1, -1, 0], [0, 4, 2, 0], [-8, 0, 0, 0], [-1, 0, 0, -1], [0, 1, -3, 0], [4, 0, 0, 1], [0, 0, 0, 0], [-4, 0, 0, -3], [0, -5, -3, 0], [4, 0, 0, 1], [-4, 0, 0, -2], [0, 3, -1, 0], [0, -1, 1, 0], [0, 4, 0, 0], [0, -1, -5, 0], [3, 0, 0, 0], [-1, 0, 0, 0], [0, -3, 0, 0], [-2, 0, 0, 2], [0, 0, 0, 0], [-2, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, -2], [-4, 0, 0, -3], [0, -1, 1, 0], [0, 2, 0, 0], [0, -1, 3, 0], [0, 5, 3, 0], [2, 0, 0, -4], [-8, 0, 0, -3], [0, -1, 1, 0], [7, 0, 0, 1], [0, 0, 0, 0], [2, 0, 0, 1], [0, -1, -3, 0], [-14, 0, 0, 0], [4, 0, 0, 0], [0, -8, 0, 0], [0, -1, -1, 0], [0, -2, -1, 0], [0, 5, 1, 0], [-6, 0, 0, -1], [-3, 0, 0, 0], [0, 5, 3, 0], [0, 0, 0, -2], [0, 0, 0, 0], [0, 0, 0, 4], [0, -3, 3, 0], [1, 0, 0, 0], [12, 0, 0, 5], [0, 3, -1, 0], [0, 5, 3, 0], [0, -6, -10, 0], [0, -10, -2, 0], [2, 0, 0, 0], [-6, 0, 0, -1], [0, 5, 7, 0], [4, 0, 0, 1], [0, 0, 0, 0], [-4, 0, 0, -4], [0, 3, 1, 0], [-2, 0, 0, 1], [-8, 0, 0, 0], [0, -1, -2, 0], [0, 3, -1, 0], [0, -1, 0, 0], [0, -1, -1, 0], [3, 0, 0, 3]], 'ap': [[0, 1, 0, 0], [1, 0, 0, 0], [0, -1, 1, 0], [0, -1, 1, 0], [0, -1, -1, 0], [0, 0, 0, 0], [-2, 0, 0, 2], [0, -1, 1, 0], [4, 0, 0, 0], [2, 0, 0, 0], [0, 3, 1, 0], [0, 1, -3, 0], [0, -5, -3, 0], [-4, 0, 0, -2], [0, -1, -5, 0], [-2, 0, 0, 0], [0, -1, 3, 0], [2, 0, 0, -4], [0, -1, -3, 0], [0, -1, -1, 0], [0, 5, 1, 0], [0, 0, 0, 4], [0, 3, -1, 0], [0, 5, 7, 0], [0, 3, -1, 0], [-2, 0, 0, 2], [-8, 0, 0, -2], [0, 0, 0, 4], [0, 7, -1, 0], [6, 0, 0, 4], [0, 0, 0, 2], [-8, 0, 0, 0], [0, -3, -5, 0], [4, 0, 0, 4], [0, 7, 5, 0], [0, -9, -3, 0], [-10, 0, 0, 0], [0, 7, 9, 0], [0, 3, -1, 0], [6, 0, 0, -2], [12, 0, 0, -4], [-14, 0, 0, 0], [-8, 0, 0, -4], [0, -7, 1, 0], [0, 7, 1, 0], [-16, 0, 0, 2], [-12, 0, 0, 0], [0, -1, 5, 0], [0, -1, 7, 0], [0, 9, 1, 0], [10, 0, 0, 6], [0, -1, -1, 0], [0, 5, 1, 0], [0, 0, 0, 0], [10, 0, 0, 2], [12, 0, 0, 0], [18, 0, 0, 0], [0, 3, -11, 0], [2, 0, 0, 0], [0, 13, 11, 0], [-12, 0, 0, 6], [0, -11, -1, 0], [0, -9, -11, 0], [-12, 0, 0, -8], [6, 0, 0, 0], [0, 3, -3, 0], [0, -1, -11, 0], [2, 0, 0, 4], [-20, 0, 0, -4], [0, -3, 1, 0], [0, -5, 13, 0], [0, 3, 15, 0], [-24, 0, 0, 0], [10, 0, 0, 0], [0, 7, 1, 0], [0, -1, -13, 0], [10, 0, 0, -6], [0, 1, 13, 0], [0, 1, 11, 0], [0, 3, 15, 0], [-8, 0, 0, -8], [0, -9, -17, 0], [0, -9, -5, 0], [10, 0, 0, -4], [0, 0, 0, 6], [8, 0, 0, 12], [0, 1, -13, 0], [0, -1, 3, 0], [0, -5, -3, 0], [0, -5, -11, 0], [8, 0, 0, 0], [0, 3, 11, 0], [0, -13, 1, 0], [-8, 0, 0, 8], [0, -1, -11, 0], [4, 0, 0, 4], [0, 11, -3, 0], [14, 0, 0, -4], [-4, 0, 0, 4], [0, 5, 5, 0], [12, 0, 0, -4], [0, 13, -1, 0], [-4, 0, 0, 0], [26, 0, 0, -6], [-4, 0, 0, -6], [0, -13, 11, 0], [0, -9, 3, 0], [0, -3, -9, 0], [-12, 0, 0, 4], [22, 0, 0, 8], [8, 0, 0, -12], [0, 19, 23, 0], [0, 15, 17, 0], [0, -5, 9, 0], [0, -5, 17, 0], [-2, 0, 0, 10], [0, -9, -11, 0], [0, 0, 0, 4], [-14, 0, 0, 4], [-36, 0, 0, 4], [0, -3, -15, 0], [6, 0, 0, 8], [38, 0, 0, 4], [0, -5, 19, 0], [0, 15, 5, 0], [-22, 0, 0, -6], [0, 17, 1, 0], [-4, 0, 0, -12], [16, 0, 0, 2], [0, -1, 15, 0], [0, 3, -7, 0], [0, -1, -1, 0], [-16, 0, 0, -6], [18, 0, 0, -12], [0, 9, 15, 0], [0, -21, -21, 0], [0, -5, -15, 0], [0, 11, -15, 0], [-30, 0, 0, -2], [30, 0, 0, 4], [0, 3, 13, 0], [0, -5, 9, 0], [-32, 0, 0, -6], [0, -13, -13, 0], [6, 0, 0, -4], [0, -17, 15, 0], [0, -3, 1, 0], [10, 0, 0, -14], [-12, 0, 0, -4], [0, 19, 15, 0], [0, 3, -17, 0], [-14, 0, 0, -14], [12, 0, 0, 14], [-8, 0, 0, 0], [-4, 0, 0, -6], [-40, 0, 0, 0], [-8, 0, 0, -4], [0, 11, -3, 0], [-10, 0, 0, 4], [0, -5, -15, 0], [0, -25, -13, 0], [-46, 0, 0, -2], [0, 3, -7, 0], [-4, 0, 0, 4], [0, -9, -19, 0], [0, 3, 11, 0], [16, 0, 0, 4], [6, 0, 0, 16]], 'char_orbit_index': 2, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 18014467262513659, 'hecke_ring_character_values': [[170, [1, 0, 0, 0]], [340, [-1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 4, 2, 4], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, -1, 1], [0, 1, 1, 0], [0, 1, -1, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 1, 1], [0, -1, 1, -1], [0, 2, 0, -2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '507.2.b.e', 'level': 507, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [507, 2, [170, 340], [2, 1]], 'conrey_index': 337, 'cusp_dim': 46, 'dim': 26, 'eis_dim': 28, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 68753031675, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 6, 6], 'label': '507.2.b', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 74, 'mf_new_dim': 26, 'num_forms': 7, 'prim_orbit_index': 2, 'relative_dim': 26, 'sturm_bound': 121, 'trace_bound': 10, 'trace_display': [0, 2, 0, 0], 'traces': [26, 0, 2, -26, 0, 0, 0, 0, 26, 4, 0, 2, 0, -16, 0, 34, 16, 0, 0, 0, 0, -20, 4, 0, -34, 0, 2, 0, -20, 4, 0, 0, 0, 0, -4, -26, 0, 16, 0, -12, 0, 12, 20, 0, 0, 0, 0, -18, -10, 0, -8, 0, -28, 0, -12, 0, 0, 0, 0, 0, -12, 4, 0, -6, 0, 8, 0, -36, 4, 0, 0, 0, 0, 12, 18, 0, 40, 0, 4, 0, 26, -4, 0, 0, 0, 0, 8, 12, 0, 4, 0, -28, 0, 0, 20, 0, 0, 0, 0, 14, 4, 0, 0, 0, -4, 0, -44, 2, 0, 0, 0, 0, 0, -8, 0, 40, 0, 16, 0, -12, -14, 0, 0, 0, 0, -16, -16, 0, -60, 0, 12, 0, 8, -12, 0, 0, 0, 0, 40, 48, 0, 56, 0, 34, 0, -40, -62, 0, 0, 0, 0, -44, 16, 0, 28, 0, 0, 0, 4, 60, 0, 0, 0, 0, -16, 20, 0, 28, 0, 124, 0, -68, -104, 0, 0, 0, 0, 108, 44, 0, 52, 0, 40, 0, 148, 28, 0, 0, 0, 0, -76, 18, 0, -184, 0, -58, 0, -20, -56, 0, 0, 0, 0, -4, -128, 0, 4, 0, -64, 0, 8, 88, 0, 0, 0, 0, 40, -76, 0, 84, 0, -44, 0, -36, -34, 0, 0, 0, 0, -84, -4, 0, -108, 0, -36, 0, 20, 140, 0, 0, 0, 0, 2, 76, 0, 44, 0, -92, 0, 100, 64, 0, 0, 0, 0, -86, 4, 0, -72, 0, -20, 0, 12, 40, 0, 0, 0, 0, 124, 4, 0, 36, 0, -156, 0, -32, 68, 0, 0, 0, 0, -24, -24, 0, 8, 0, 0, 0, -66, -88, 0, 0, 0, 0, -64, -228, 0, -232, 0, -46, 0, 304, 24, 0, 0, 0, 0, 200, -28, 0, 60, 0, 104, 0, -4, -256, 0, 0, 0, 0, 8, 80, 0, -26, 0, 284, 0, -116, 44, 0, 0, 0, 0, -4, 48, 0, 20, 0, -36, 0, -36, 16, 0, 0, 0, 0, -136, 16, 0, 68, 0, 288, 0, -64, 44, 0, 0, 0, 0, -12, 18, 0, 14, 0, 96, 0, 32, -232, 0, 0, 0, 0, -116, 188, 0, 120, 0, 12, 0, -128, 8, 0, 0, 0, 0, 236, 20, 0, 120, 0, -84, 0, -44, -88, 0, 0, 0, 0, 60, 178, 0, 76, 0, -84, 0, 136, 12, 0, 0, 0, 0, -96, 8, 0, 68, 0, -24, 0, -24, 52, 0, 0, 0, 0, 156, 24, 0, -184, 0, -124, 0, -18, -40, 0, 0, 0, 0, -32, 48, 0, -10, 0, 8, 0, -96, 104, 0, 0, 0, 0, -12, -252, 0, 28, 0, -60, 0, 48, -8, 0, 0, 0, 0, -72, 24, 0, 32, 0, 52, 0, 4, 160, 0, 0, 0, 0, -28, -268, 0, 60, 0, -76, 0, -114, 100, 0, 0, 0, 0, -164, 92, 0, -16, 0, -12, 0, -108, 56, 0, 0, 0, 0, -116, 0, 0, -220, 0, 60, 0, -52, -144, 0, 0, 0, 0, 192, 72, 0, -8, 0, -112, 0, 160, 96, 0, 0, 0, 0, 2, -8, 0, -24, 0, -28, 0, 144, -4, 0, 0, 0, 0, -100, -220, 0, 88, 0, -60, 0, -12, 136, 0, 0, 0, 0, -36, -72, 0, 4, 0, -248, 0, -84, 128, 0, 0, 0, 0, 164, -56, 0, -128, 0, 24, 0, -144, -6, 0, 0, 0, 0, -80, 108, 0, 152, 0, -52, 0, 182, 16, 0, 0, 0, 0, 8, 140, 0, 72, 0, -116, 0, -100, -112, 0, 0, 0, 0, 72, 160, 0, 24, 0, -36, 0, -196, 40, 0, 0, 0, 0, -204, 4, 0, 160, 0, -150, 0, -8, -36, 0, 0, 0, 0, -28, -176, 0, -292, 0, 88, 0, 80, 108, 0, 0, 0, 0, 80, 140, 0, 48, 0, 168, 0, 40, -312, 0, 0, 0, 0, -148, 72, 0, 160, 0, 144, 0, 12, 132, 0, 0, 0, 0, -120, 196, 0, 18, 0, 372, 0, 44, -264, 0, 0, 0, 0, 396, 164, 0, 180, 0, 284, 0, 292, 40, 0, 0, 0, 0, 4, 32, 0, -320, 0, 152, 0, -48, -48, 0, 0, 0, 0, 4, -312, 0, -16, 0, 132, 0, -128, 40, 0, 0, 0, 0, 96, -416, 0, 36, 0, 26, 0, -160, -156, 0, 0, 0, 0, -52, -4, 0, -280, 0, -252, 0, 288, -44, 0, 0, 0, 0, -80, 48, 0, 12, 0, -164, 0, 344, -116, 0, 0, 0, 0, 60, 276, 0, -120, 0, -34, 0, -280, 84, 0, 0, 0, 0, 260, 36, 0, 72, 0, -160, 0, 8, 226, 0, 0, 0, 0, -104, -116, 0, 12, 0, -132, 0, 80, -316, 0, 0, 0, 0, 176, -216, 0, -148, 0, -32, 0, 272, 4, 0, 0, 0, 0, 168, -192, 0, 304, 0, 240, 0, 12, -136, 0, 0, 0, 0, -28, 68, 0, -204, 0, 104, 0, -144, 308, 0, 0, 0, 0, -134, 56, 0, -156, 0, 0, 0, 108, 56, 0, 0, 0, 0, -176, 20, 0, 40, 0, 192, 0, -100, 104, 0, 0, 0, 0, -2, 48, 0, 100, 0, 248, 0, 116, -128, 0, 0, 0, 0, -340, 120, 0, 128, 0, -48, 0, -260, 80, 0, 0, 0, 0, 220, 20, 0, 68, 0, -36, 0, 14, -268, 0, 0, 0, 0, 220, 52, 0, 4, 0, -180, 0, 188, 80, 0, 0, 0, 0, -84, 356, 0, 148, 0, -92, 0, -280, 0, 0, 0, 0, 0, 248, 32, 0, -144, 0, -44, 0, 40, -40, 0, 0, 0, 0, -4, -44, 0, -112, 0, -220, 0, -260, -112, 0, 0, 0, 0, -276, -20, 0, 54, 0, -44, 0, 352, 88, 0, 0, 0, 0, -160, 2, 0, 388, 0, -8, 0, -108, 216, 0, 0, 0, 0, -84, -204, 0, 96, 0, -164, 0, 4, 384, 0, 0, 0, 0, -192, -176, 0, -176], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 358163
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '39.2.a.b', 'target_level': 39, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358164
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '117.2.a.c', 'target_level': 117, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358165
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '507.2.a.h', 'target_level': 507, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358166
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.b.e', 'target_level': 507, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 358167
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '507.2.b.e', 'target_level': 507, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358168
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '507.2.e.d', 'target_level': 507, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358169
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '507.2.e.h', 'target_level': 507, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358170
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.j.f', 'target_level': 507, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 358171
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '507.2.j.f', 'target_level': 507, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 358172
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '624.2.a.k', 'target_level': 624, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358173
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '975.2.a.l', 'target_level': 975, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 358174
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '975.2.c.h', 'target_level': 975, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '65.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358175
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '975.2.c.h', 'target_level': 975, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '65.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 358176
{'conductor': 117, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1053.2.e.e', 'target_level': 1053, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '117.z', 'twisting_char_orbit': 26, 'weight': 2}
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id: 358177
{'conductor': 117, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1053.2.e.m', 'target_level': 1053, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '117.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 358178
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1521.2.a.f', 'target_level': 1521, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358179
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1521.2.b.j', 'target_level': 1521, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358180
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1521.2.b.j', 'target_level': 1521, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358181
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '1872.2.a.w', 'target_level': 1872, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 358182
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1911.2.a.h', 'target_level': 1911, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '91.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 358183
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '2496.2.a.bf', 'target_level': 2496, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '104.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 358184
{'conductor': 104, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '2496.2.a.bi', 'target_level': 2496, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '104.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 358185
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2925.2.a.v', 'target_level': 2925, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '195.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 358186
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2925.2.c.u', 'target_level': 2925, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '195.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 358187
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '2925.2.c.u', 'target_level': 2925, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '195.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 358188
{'conductor': 143, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '4719.2.a.p', 'target_level': 4719, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '143.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 358189
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': False, 'target_label': '5733.2.a.u', 'target_level': 5733, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '273.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 358190
{'conductor': 312, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 64, 'target_is_minimal': False, 'target_label': '7488.2.a.cl', 'target_level': 7488, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '312.y', 'twisting_char_orbit': 25, 'weight': 2}
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id: 358191
{'conductor': 312, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '7488.2.a.co', 'target_level': 7488, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '312.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 358192
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '507.2.b.e', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '8112.2.a.bm', 'target_level': 8112, 'twist_class_label': '39.2.a.b', 'twist_class_level': 39, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 979975
{'charpoly_factorization': [[[1, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 2}
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id: 979976
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 18014467262513659, 'p': 3}
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id: 979977
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 18014467262513659, 'p': 5}
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id: 979978
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 18014467262513659, 'p': 7}
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id: 979979
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 18014467262513659, 'p': 11}
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id: 979980
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014467262513659, 'p': 13}
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id: 979981
{'charpoly_factorization': [[[-28, 4, 1], 2]], 'hecke_orbit_code': 18014467262513659, 'p': 17}
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id: 979982
{'charpoly_factorization': [[[8, 0, 1], 2]], 'hecke_orbit_code': 18014467262513659, 'p': 19}
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id: 979983
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 18014467262513659, 'p': 23}
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id: 979984
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 18014467262513659, 'p': 29}
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id: 979985
{'charpoly_factorization': [[[64, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 31}
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id: 979986
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 37}
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id: 979987
{'charpoly_factorization': [[[3136, 0, 144, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 41}
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id: 979988
{'charpoly_factorization': [[[-16, 8, 1], 2]], 'hecke_orbit_code': 18014467262513659, 'p': 43}
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id: 979989
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 47}
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id: 979990
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 18014467262513659, 'p': 53}
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id: 979991
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 59}
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id: 979992
{'charpoly_factorization': [[[-124, -4, 1], 2]], 'hecke_orbit_code': 18014467262513659, 'p': 61}
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id: 979993
{'charpoly_factorization': [[[64, 0, 48, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 67}
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id: 979994
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 18014467262513659, 'p': 71}
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id: 979995
{'charpoly_factorization': [[[16, 0, 136, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 73}
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id: 979996
{'charpoly_factorization': [[[-128, 0, 1], 2]], 'hecke_orbit_code': 18014467262513659, 'p': 79}
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id: 979997
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 83}
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id: 979998
{'charpoly_factorization': [[[18496, 0, 304, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 89}
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id: 979999
{'charpoly_factorization': [[[784, 0, 72, 0, 1], 1]], 'hecke_orbit_code': 18014467262513659, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 5, 'label': '507.2.b.e', 'level': 507, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 156660000
{'hecke_orbit_code': 18014467262513659, 'n': 1, 'trace_an': 4}
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id: 156660001
{'hecke_orbit_code': 18014467262513659, 'n': 2, 'trace_an': 0}
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id: 156660002
{'hecke_orbit_code': 18014467262513659, 'n': 3, 'trace_an': 4}
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id: 156660003
{'hecke_orbit_code': 18014467262513659, 'n': 4, 'trace_an': -4}
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id: 156660004
{'hecke_orbit_code': 18014467262513659, 'n': 5, 'trace_an': 0}
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id: 156660005
{'hecke_orbit_code': 18014467262513659, 'n': 6, 'trace_an': 0}
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id: 156660006
{'hecke_orbit_code': 18014467262513659, 'n': 7, 'trace_an': 0}
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id: 156660007
{'hecke_orbit_code': 18014467262513659, 'n': 8, 'trace_an': 0}
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id: 156660008
{'hecke_orbit_code': 18014467262513659, 'n': 9, 'trace_an': 4}
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id: 156660009
{'hecke_orbit_code': 18014467262513659, 'n': 10, 'trace_an': 16}
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id: 156660010
{'hecke_orbit_code': 18014467262513659, 'n': 11, 'trace_an': 0}
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id: 156660011
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