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mf_newforms • Show schema
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{'Nk2': 5824, 'analytic_conductor': 11.626218534298424, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 55, 'char_orbit_label': 'cc', 'char_order': 6, 'char_parity': 1, 'char_values': [1456, 6, [911, 1093, 1249, 561], [6, 6, 6, 1]], 'cm_discs': [], 'conrey_index': 225, 'dim': 12, 'field_disc': 58891012706304, 'field_disc_factorization': [[2, 12], [3, 6], [4441, 2]], 'field_poly': [64, 0, -80, -16, 60, 4, -30, 2, 15, -2, -5, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 12, 50, -10, 87, 0, 83, -18, 34, -6, 9, -2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18018109394781616, 'hecke_ring_generator_nbound': 7, '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, 13, 5, 1, 6, 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': '1456.2.cc.e', 'level': 1456, '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, 7, 13], 'level_radical': 182, 'minimal_twist': '728.2.bm.b', 'nf_label': '12.0.58891012706304.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(-\\beta _{3}+\\beta _{8})q^{3}+(-\\beta _{1}-\\beta _{2}+\\beta _{6}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1456.2.cc', 'trace_display': [0, 2, 0, 0], 'trace_hash': 945035914054142716, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
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19, -11, -8, -14, -10, -8, -11, -4, 19, 14], [11, 5, 5, 20, 0, -12, 4, 11, -32, -22, 4, 20], [9, 15, 7, 7, 10, 12, 8, -10, -7, -9, -7, 12], [3, -24, -24, -2, 0, 2, 13, -11, 4, -6, 13, -2], [12, -9, -9, 1, 0, -5, 5, 21, -6, -24, 5, 1], [16, -21, 11, 16, -16, 3, -21, 0, -3, -8, 10, -13], [-25, 11, 13, -36, 3, 1, -2, -3, 36, 25, -13, 1], [11, 0, 0, -33, 20, -19, 9, 10, -14, 0, -9, 33], [-16, -11, 6, -16, -11, 5, -17, 11, 16, 16, -6, 5], [0, 13, 11, 10, 6, 11, -13, 12, 11, 2, -2, -1], [0, -2, 8, -5, -2, -3, 2, -4, -3, 24, 10, -2], [-1, 9, 9, 5, 0, 15, 15, 3, 10, 2, 15, 5], [0, -9, -8, 23, -13, 6, -1, 13, -23, 0, 8, 6], [-19, -17, -15, 14, -5, -12, -2, 5, -14, 19, 15, -12], [-7, -4, 8, 0, -11, 3, -4, -11, 0, -7, 8, -3], [6, 5, -5, 9, -34, 5, 3, -17, 4, 0, -3, -9], [11, -6, 6, -2, 14, -9, 7, 7, 7, 0, -7, 2], [-9, -10, -10, 10, 0, -2, 9, -19, -12, 18, 9, 10], [20, -2, -12, 21, -2, 9, -2, 0, -9, -10, 14, -12], [5, -18, 0, -10, -26, -16, 18, -26, -10, 5, 0, 16], [0, 0, -12, 0, 16, 20, 0, 32, 20, -8, -12, -20], [16, -20, -14, -1, 14, -9, -6, -14, 1, -16, 14, -9], [12, -11, 2, -3, 14, 9, 9, 14, -3, 12, 2, -9], [14, -24, -24, 1, -4, -3, 0, 4, -1, -14, 24, -3], [0, -2, -4, -1, 2, -13, 2, 4, -13, 8, -2, 12], [-1, 6, -10, -12, 4, 0, 4, 4, -12, -1, -10, 0], [-6, -15, 6, 5, 2, 3, -15, 0, -3, 3, 9, -2], [31, 8, -8, 12, -34, 11, 17, -17, 1, 0, -17, -12], [-22, -25, -5, 7, -1, -6, -25, 0, 6, 11, 30, -13], [1, 11, -7, 0, -9, -7, -4, -9, 0, 1, -7, 7], [18, 5, -13, 1, 5, 0, 5, 0, 0, -9, 8, -1], [-14, 3, -13, 13, 6, 2, 16, -6, -13, 14, 13, 2], [8, -1, 3, -23, -26, -26, -2, -26, -23, 8, 3, 26], [2, -2, 18, -6, 8, -9, -16, 8, -6, 2, 18, 9], [-11, 5, 5, 3, 0, 17, -1, 21, 14, 22, -1, 3], [-24, -11, 8, -8, 5, -1, -19, -5, 8, 24, -8, -1], [-13, -2, 2, 4, -10, 4, 17, -5, 0, 0, -17, -4], [-10, 18, -13, 18, 9, 7, 18, 0, -7, 5, -5, -11], [0, -17, -18, -2, -3, 14, 17, -6, 14, 15, -1, -16], [-3, -19, 15, -12, -15, -12, 4, -15, -12, -3, 15, 12], [-23, -6, 6, -6, 34, -14, -7, 17, 8, 0, 7, 6], [-14, 19, 8, -4, -14, -2, 19, 0, 2, 7, -27, 2], [-11, -1, 1, 15, -6, -9, -11, -3, 24, 0, 11, -15], [21, 17, 14, -9, 9, 4, 3, -9, 9, -21, -14, 4], [14, 13, 13, 7, 0, 18, -15, 3, 11, -28, -15, 7], [-18, -13, -10, -16, -5, -9, -3, 5, 16, 18, 10, -9], [-10, -5, -4, 3, 4, -19, -5, 0, 19, 5, 9, -22], [0, 17, 19, 1, 21, 2, -17, 42, 2, 1, 2, -1], [10, 18, -5, 14, 9, 19, 18, 0, -19, -5, -13, 5], [-3, -17, -17, -8, 0, 0, -6, 28, 8, 6, -6, -8], [-26, 0, 11, 0, 5, 3, 0, 0, -3, 13, -11, 3], [0, -6, 2, 2, 4, -10, 6, 8, -10, 3, 8, 12], [-3, 11, -11, 10, 56, 14, 16, 28, -4, 0, -16, -10], [0, 6, 6, -13, 0, -7, -9, -20, 6, 0, -9, -13], [23, 4, -3, 4, 26, -5, -1, 26, 4, 23, -3, 5], [0, -10, 1, -4, -15, -33, 10, -30, -33, -3, 11, 29], [0, -16, -20, 2, -4, 2, 16, -8, 2, -2, -4, 0], [22, 6, -2, -5, -34, 0, -4, -34, -5, 22, -2, 0], [-16, 17, -8, 9, -10, -7, 17, 0, 7, 8, -9, -16], [-2, 5, 5, 19, 0, -9, 13, -35, -28, 4, 13, 19], [4, -10, -5, 12, -15, -3, -10, 0, 3, -2, 15, -15], [0, 7, 21, 2, 9, -20, -7, 18, -20, -37, 14, 22], [-36, 12, 12, -22, -2, -1, 0, 2, 22, 36, -12, -1], [-22, 5, 1, 7, 10, 8, -6, 10, 7, -22, 1, -8], [-6, -8, 8, 1, 4, -13, -36, 2, 14, 0, 36, -1], [-1, 0, 9, -12, -2, -13, -9, -2, -12, -1, 9, 13], [1, 22, 22, -14, 0, 16, -11, -41, 30, -2, -11, -14], [20, -6, 6, -20, 16, -6, 12, 8, -14, 0, -12, 20], [-6, 13, -13, 26, -2, 18, 14, -1, 8, 0, -14, -26], [-4, 9, 9, -8, 0, 20, -6, -19, 28, 8, -6, -8], [-4, -8, -16, 8, -14, 0, -8, 0, 0, 2, 24, -8], [0, 14, 3, -6, -5, -16, -14, -10, -16, 4, -11, 10], [11, 15, 6, 5, 21, 10, 9, -21, -5, -11, -6, 10], [0, 2, -6, 5, -6, 11, -2, -12, 11, -24, -8, -6], [0, 3, 20, 15, -25, 8, -23, -25, 15, 0, 20, -8], [-42, 1, 15, -16, -1, -15, 1, 0, 15, 21, -16, 1], [0, 6, 18, -8, -6, 2, -6, -12, 2, -18, 12, -10], [-3, 13, -13, -6, 24, -2, 12, 12, -4, 0, -12, 6], [-3, -2, 2, 3, -30, -10, -21, -15, 13, 0, 21, -3], [29, -8, -1, -10, -16, 4, -7, 16, 10, -29, 1, 4], [19, -11, -3, 14, 19, -5, -8, -19, -14, -19, 3, -5], [-20, 2, -10, 1, 20, 10, 8, 20, 1, -20, -10, -10], [0, 3, 4, 15, -18, 11, -3, -36, 11, 3, 1, 4], [5, 6, 6, -1, 0, -9, 5, -34, -8, -10, 5, -1], [-6, 2, -16, -12, 14, 4, 18, -14, 12, 6, 16, 4]], 'char_orbit_index': 55, 'field_poly': [64, 0, -80, -16, 60, 4, -30, 2, 15, -2, -5, 0, 1], 'hecke_orbit_code': 18018109394781616, 'hecke_ring_character_values': [[911, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1093, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [1249, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [561, [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 32, 32, 32, 16, 32, 32, 8, 16, 16, 16], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 1, -1, 1, 1, 0, 0, -1], [0, 1, 1, 1, 1, 0, -1, 0, 0, 1, 1, -1], [-1, 0, -1, 1, -1, 1, -2, 1, 0, 1, 0, -1], [1, -1, 0, 0, 0, -1, -1, -1, 1, 4, 0, -2], [-2, 4, 1, 1, -3, -2, -1, 0, -1, 1, -2, 2], [1, 0, 1, -3, -7, 3, -2, -1, 7, 5, -3, -5], [-3, 8, 10, 4, 2, -1, -5, 1, 7, 0, 0, -3], [-8, 1, 7, 7, -17, 12, -11, -4, 6, 3, 3, -7], [-11, -6, 3, 9, 7, 3, -8, -9, 18, 13, 4, -17], [-7, 3, 14, 22, -26, -1, -11, -21, -13, -6, 4, 18]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -80, -16, 60, 4, -30, 2, 15, -2, -5, 0, 1], [96, -48, 16, -4, -28, -6, 30, -13, -6, 7, 4, -3], [-64, -64, 24, 84, 0, -42, 4, 21, -8, -11, 2, 3], [-64, -56, 68, 60, -38, -26, 23, 7, -13, -3, 3, 1], [64, -32, 48, -20, -68, 10, 42, -23, -10, 13, 4, -5], [-32, 16, 120, -68, -88, 50, 44, -39, -8, 17, 2, -5], [-32, 24, 52, -28, -34, 20, 13, -13, -3, 5, 1, -1], [-80, -16, 108, 8, -70, 12, 35, -13, -13, 5, 3, -1], [-64, 96, 96, -92, -68, 66, 18, -37, -2, 15, 0, -3], [-160, 16, 192, -20, -116, 34, 50, -27, -18, 9, 4, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '1456.2.cc.e', 'level': 1456, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 5824, 'analytic_conductor': 11.626218534298424, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 55, 'char_orbit_label': 'cc', 'char_order': 6, 'char_parity': 1, 'char_values': [1456, 6, [911, 1093, 1249, 561], [6, 6, 6, 1]], 'conrey_index': 225, 'cusp_dim': 424, 'dim': 84, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 3710885299632, 'hecke_orbit_dims': [4, 4, 12, 12, 12, 16, 24], 'label': '1456.2.cc', 'level': 1456, '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, 7, 13], 'level_radical': 182, 'mf_dim': 472, 'mf_new_dim': 84, 'num_forms': 7, 'prim_orbit_index': 5, 'relative_dim': 42, 'sturm_bound': 448, 'trace_bound': 9, 'trace_display': [0, 0, 0, 0], 'traces': [84, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, -2, 0, 0, 0, -2, 0, 0, 0, 0, 0, 12, 0, -88, 0, -24, 0, 2, 0, 0, 0, 0, 0, 12, 0, 30, 0, 12, 0, 6, 0, -28, 0, -30, 0, 0, 0, 42, 0, 72, 0, 4, 0, 40, 0, 0, 0, 36, 0, -10, 0, 0, 0, 6, 0, -72, 0, 0, 0, -36, 0, 0, 0, -16, 0, 0, 0, 16, 0, -34, 0, 0, 0, -6, 0, -36, 0, 24, 0, 0, 0, 0, 0, 24, 0, -24, 0, 0, 0, -34, 0, 32, 0, 16, 0, 12, 0, 0, 0, -204, 0, -18, 0, -60, 0, -28, 0, 0, 0, 58, 0, -36, 0, 0, 0, 32, 0, 32, 0, 24, 0, 0, 0, 0, 0, -30, 0, 16, 0, 72, 0, 144, 0, -78, 0, 0, 0, 30, 0, 0, 0, -10, 0, 72, 0, 44, 0, 80, 0, 0, 0, 0, 0, -8, 0, 36, 0, -34, 0, -36, 0, 28, 0, 0, 0, 0, 0, -28, 0, -84, 0, 152, 0, 14, 0, 0, 0, 0, 0, -132, 0, 30, 0, -76, 0, 72, 0, -32, 0, 0, 0, 0, 0, 54, 0, -248, 0, -16, 0, 0, 0, 0, 0, -108, 0, 8, 0, -60, 0, -12, 0, 108, 0, 60, 0, 96, 0, 0, 0, 36, 0, 24, 0, -104, 0, -32, 0, 0, 0, 42, 0, 96, 0, -6, 0, 176, 0, 48, 0, -36, 0, 0, 0, 0, 0, 42, 0, 48, 0, -132, 0, -4, 0, 0, 0, 156, 0, 12, 0, 132, 0, 16, 0, 36, 0, 30, 0, 144, 0, 0, 0, 8, 0, -32, 0, 80, 0, -72, 0, 0, 0, -78, 0, -64, 0, 120, 0, -36, 0, 0, 0, -24, 0, -198, 0, 0, 0, -48, 0, -88, 0, -88, 0, 36, 0, 0, 0, -228, 0, -24, 0, -204, 0, 36, 0, -156, 0, 0, 0, 24, 0, 0, 0, -56, 0, 52, 0, 80, 0, -32, 0, 0, 0, 0, 0, 60, 0, 0, 0, 20, 0, -30, 0, -100, 0, 48, 0, 0, 0, 18, 0, 184, 0, -68, 0, 92, 0, 0, 0, 0, 0, 34, 0, -108, 0, 114, 0, 108, 0, 8, 0, -240, 0, 0, 0, -148, 0, -180, 0, 72, 0, -24, 0, 0, 0, 120, 0, -32, 0, -6, 0, -120, 0, 366, 0, 104, 0, 30, 0, 0, 0, 0, 0, -112, 0, -160, 0, -32, 0, 0, 0, -192, 0, 52, 0, 72, 0, 128, 0, 228, 0, 2, 0, 240, 0, 0, 0, 8, 0, -84, 0, -64, 0, -48, 0, 0, 0, 120, 0, 120, 0, 168, 0, 24, 0, 30, 0, -60, 0, -66, 0, 0, 0, 136, 0, -120, 0, 32, 0, 40, 0, 0, 0, 480, 0, -50, 0, 120, 0, -30, 0, 0, 0, -88, 0, 108, 0, 0, 0, -132, 0, -84, 0, -40, 0, 8, 0, 0, 0, -312, 0, 60, 0, 6, 0, -340, 0, -78, 0, -8, 0, -144, 0, 0, 0, -8, 0, 64, 0, -124, 0, -152, 0, 0, 0, -48, 0, -66, 0, -180, 0, -46, 0, 60, 0, -88, 0, 0, 0, 0, 0, 44, 0, 240, 0, -192, 0, 126, 0, 0, 0, 0, 0, 196, 0, 114, 0, 40, 0, -264, 0, 16, 0, -30, 0, 0, 0, -76, 0, 320, 0, -16, 0, -8, 0, 0, 0, 156, 0, 8, 0, -168, 0, 16, 0, -336, 0, 72, 0, 336, 0, 0, 0, -56, 0, -96, 0, 192, 0, -2, 0, 0, 0, 6, 0, -8, 0, 72, 0, -192, 0, 126, 0, 68, 0, -54, 0, 0, 0, 8, 0, -88, 0, 212, 0, -52, 0, 0, 0, -144, 0, -16, 0, -552, 0, 2, 0, -156, 0, 14, 0, 36, 0, 0, 0, 60, 0, -64, 0, -176, 0, -36, 0, 0, 0, 462, 0, 152, 0, 126, 0, -296, 0, 24, 0, 44, 0, -48, 0, 0, 0, 94, 0, 216, 0, -408, 0, -36, 0, 0, 0, 144, 0, 22, 0, -120, 0, -42, 0, 252, 0, 0, 0, -228, 0, 0, 0, 112, 0, 136, 0, -56, 0, -112, 0, 0, 0, 30, 0, -96, 0, 48, 0, 184, 0, 0, 0, 132, 0, -24, 0, 0, 0, -60, 0, -120, 0, -108, 0, 40, 0, 0, 0, 0, 0, -72, 0, 72, 0, 272, 0, -180, 0, -22, 0, 444, 0, 0, 0, 44, 0, 224, 0, 320, 0, -60, 0, 0, 0, 24, 0, 24, 0, -282, 0, 124, 0, -264, 0, -88, 0, 312, 0, 0, 0, -24, 0, 280, 0, -96, 0, 148, 0, 0, 0, -12, 0, 136, 0, -72, 0, -84, 0, -552, 0, -12, 0, -120, 0, 0, 0, 72, 0, 0, 0, 264, 0, 14, 0, 0, 0, 192, 0, -80, 0, -216, 0, -56, 0, 216, 0, -12, 0, -48, 0, 0, 0, 158, 0, 656, 0, -4, 0, 80, 0, 0, 0, -168, 0, 72, 0, 12, 0, -214, 0, 0, 0, 144, 0, -108, 0, 0, 0, 128, 0, 12, 0, -88, 0, 16, 0, 0, 0, 300, 0, -184, 0, 72, 0, 212, 0, 192, 0, -24, 0, -294, 0, 0, 0, 42, 0, -352, 0, 16, 0, 120, 0, 0, 0, -192, 0, 24, 0, 180, 0, -24, 0, -24, 0, -162, 0, 0, 0, 0, 0, -56, 0, 244, 0, 16, 0, -176, 0, 0, 0, 0, 0, -172, 0, 72, 0, 200, 0, -228, 0, -128, 0, 54, 0, 0, 0, -408, 0, -568, 0, -36, 0, -88, 0, 0, 0, 36, 0, -64, 0, -84, 0, -214, 0, 408, 0, -60, 0, -204, 0, 0, 0, 96, 0, -132, 0, -64, 0, 118, 0, 0, 0, -72, 0, -24, 0, 144, 0, 304, 0, -402, 0, 40, 0, 48, 0, 0, 0, -32, 0, 96, 0, 336, 0, -4, 0, 0, 0, -84, 0, 54, 0, 312, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 740005
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1456.2.cc.e', 'source_level': 1456, 'target_char_orbit': 39, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '728.2.bm.b', 'target_level': 728, 'twist_class_label': '728.2.bm.b', 'twist_class_level': 728, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 740006
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1456.2.cc.e', 'source_level': 1456, 'target_char_orbit': 39, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '728.2.bm.b', 'target_level': 728, 'twist_class_label': '728.2.bm.b', 'twist_class_level': 728, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 740007
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1456.2.cc.e', 'source_level': 1456, 'target_char_orbit': 55, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1456.2.cc.e', 'target_level': 1456, 'twist_class_label': '728.2.bm.b', 'twist_class_level': 728, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 740008
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1456.2.cc.e', 'source_level': 1456, 'target_char_orbit': 55, 'target_dim': 12, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1456.2.cc.e', 'target_level': 1456, 'twist_class_label': '728.2.bm.b', 'twist_class_level': 728, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 740009
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1456.2.cc.e', 'source_level': 1456, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '9464.2.a.bf', 'target_level': 9464, 'twist_class_label': '728.2.bm.b', 'twist_class_level': 728, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 740010
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 55, 'source_dim': 12, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '1456.2.cc.e', 'source_level': 1456, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '9464.2.a.bg', 'target_level': 9464, 'twist_class_label': '728.2.bm.b', 'twist_class_level': 728, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1966425
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 18018109394781616, 'p': 2}
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id: 1966426
{'charpoly_factorization': [[[4, 12, 50, -10, 87, 0, 83, -18, 34, -6, 9, -2, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 3}
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id: 1966427
{'charpoly_factorization': [[[1, 0, 648, 0, 1432, 0, 950, 0, 256, 0, 28, 0, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 5}
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id: 1966428
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 3]], 'hecke_orbit_code': 18018109394781616, 'p': 7}
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id: 1966429
{'charpoly_factorization': [[[5476, 25308, 46906, 36594, 8899, -3852, -1963, 414, 334, 0, -21, 0, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 11}
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id: 1966430
{'charpoly_factorization': [[[4826809, -742586, -314171, -4394, -17914, -1274, 5417, -98, -106, -2, -11, -2, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 13}
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id: 1966431
{'charpoly_factorization': [[[2401, -3430, 6713, -4466, 7438, -5702, 4365, -1730, 622, -102, 25, -2, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 17}
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id: 1966432
{'charpoly_factorization': [[[64, -1056, 6904, -18084, 23361, -14070, 2199, 1458, -376, -156, 35, 12, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 19}
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id: 1966433
{'charpoly_factorization': [[[52765696, -44862464, 32796672, -10589184, 3648448, -651456, 204992, -28128, 7236, -388, 110, -6, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 23}
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id: 1966434
{'charpoly_factorization': [[[1, -852, 727244, 1141388, 1919892, -25260, 138278, -39852, 14260, -2292, 300, -20, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 29}
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id: 1966435
{'charpoly_factorization': [[[13118884, 0, 7639576, 0, 1572153, 0, 151248, 0, 7154, 0, 152, 0, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 31}
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id: 1966436
{'charpoly_factorization': [[[614656, 1317120, -166208, -2372160, 1997440, -164736, -104644, 11400, 4909, -486, -69, 6, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 37}
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id: 1966437
{'charpoly_factorization': [[[32993536, 69755136, 57820864, 18313152, -425984, -1299456, 3548, 73536, 6253, -1260, -57, 12, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 41}
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id: 1966438
{'charpoly_factorization': [[[148996, 233916, 312810, 181174, 103131, 12600, 10293, -1386, 2070, -500, 123, -12, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 43}
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id: 1966439
{'charpoly_factorization': [[[150601984, 0, 53130080, 0, 6708569, 0, 404616, 0, 12438, 0, 184, 0, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 47}
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id: 1966440
{'charpoly_factorization': [[[-383, 6, 463, 196, -17, -10, 1], 2]], 'hecke_orbit_code': 18018109394781616, 'p': 53}
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id: 1966441
{'charpoly_factorization': [[[964324, 1632084, 468046, -766182, -233795, 300774, 115352, -47154, 2011, 864, -24, -12, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 59}
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id: 1966442
{'charpoly_factorization': [[[4096, 8192, 14336, 10240, 8128, 2560, 2400, 592, 385, 36, 31, 4, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 61}
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id: 1966443
{'charpoly_factorization': [[[131010916, -10644780, -28429714, 2333370, 5320169, 563592, -184908, -24114, 5451, 552, -80, -6, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 67}
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id: 1966444
{'charpoly_factorization': [[[65536, 491520, 1323008, 706560, -106240, -149760, 35712, 60672, 24048, 4896, 568, 36, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 71}
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id: 1966445
{'charpoly_factorization': [[[322751244544, 0, 30933985152, 0, 1050041392, 0, 17148728, 0, 145225, 0, 610, 0, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 73}
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id: 1966446
{'charpoly_factorization': [[[55648, -44000, 3624, 1440, -142, -10, 1], 2]], 'hecke_orbit_code': 18018109394781616, 'p': 79}
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id: 1966447
{'charpoly_factorization': [[[1205895076, 0, 685457080, 0, 101760105, 0, 4526688, 0, 77378, 0, 488, 0, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 83}
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id: 1966448
{'charpoly_factorization': [[[87616, 1893216, 14176472, 11672700, -697375, -3459906, 1104231, 3054, -24480, -180, 427, 36, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 89}
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id: 1966449
{'charpoly_factorization': [[[17249144896, 26324462496, 15912261880, 3846968148, 232321449, -51227220, -4138509, 590592, 66152, -1806, -289, 6, 1], 1]], 'hecke_orbit_code': 18018109394781616, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 55, 'hecke_orbit': 5, 'label': '1456.2.cc.e', 'level': 1456, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 41734831
{'hecke_orbit_code': 18018109394781616, 'n': 1, 'trace_an': 12}
-
id: 41734832
{'hecke_orbit_code': 18018109394781616, 'n': 2, 'trace_an': 0}
-
id: 41734833
{'hecke_orbit_code': 18018109394781616, 'n': 3, 'trace_an': 2}
-
id: 41734834
{'hecke_orbit_code': 18018109394781616, 'n': 4, 'trace_an': 0}
-
id: 41734835
{'hecke_orbit_code': 18018109394781616, 'n': 5, 'trace_an': 0}
-
id: 41734836
{'hecke_orbit_code': 18018109394781616, 'n': 6, 'trace_an': 0}
-
id: 41734837
{'hecke_orbit_code': 18018109394781616, 'n': 7, 'trace_an': 0}
-
id: 41734838
{'hecke_orbit_code': 18018109394781616, 'n': 8, 'trace_an': 0}
-
id: 41734839
{'hecke_orbit_code': 18018109394781616, 'n': 9, 'trace_an': 4}
-
id: 41734840
{'hecke_orbit_code': 18018109394781616, 'n': 10, 'trace_an': 0}
-
id: 41734841
{'hecke_orbit_code': 18018109394781616, 'n': 11, 'trace_an': 0}
-
id: 41734842
{'hecke_orbit_code': 18018109394781616, 'n': 12, 'trace_an': 0}
-
id: 41734843
{'hecke_orbit_code': 18018109394781616, 'n': 13, 'trace_an': 2}
-
id: 41734844
{'hecke_orbit_code': 18018109394781616, 'n': 14, 'trace_an': 0}
-
id: 41734845
{'hecke_orbit_code': 18018109394781616, 'n': 15, 'trace_an': -12}
-
id: 41734846
{'hecke_orbit_code': 18018109394781616, 'n': 16, 'trace_an': 0}
-
id: 41734847
{'hecke_orbit_code': 18018109394781616, 'n': 17, 'trace_an': 2}
-
id: 41734848
{'hecke_orbit_code': 18018109394781616, 'n': 18, 'trace_an': 0}
-
id: 41734849
{'hecke_orbit_code': 18018109394781616, 'n': 19, 'trace_an': -12}
-
id: 41734850
{'hecke_orbit_code': 18018109394781616, 'n': 20, 'trace_an': 0}
-
id: 41734851
{'hecke_orbit_code': 18018109394781616, 'n': 21, 'trace_an': 0}
-
id: 41734852
{'hecke_orbit_code': 18018109394781616, 'n': 22, 'trace_an': 0}
-
id: 41734853
{'hecke_orbit_code': 18018109394781616, 'n': 23, 'trace_an': 6}
-
id: 41734854
{'hecke_orbit_code': 18018109394781616, 'n': 24, 'trace_an': 0}
-
id: 41734855
{'hecke_orbit_code': 18018109394781616, 'n': 25, 'trace_an': 4}
-
id: 41734856
{'hecke_orbit_code': 18018109394781616, 'n': 26, 'trace_an': 0}
-
id: 41734857
{'hecke_orbit_code': 18018109394781616, 'n': 27, 'trace_an': -4}
-
id: 41734858
{'hecke_orbit_code': 18018109394781616, 'n': 28, 'trace_an': 0}
-
id: 41734859
{'hecke_orbit_code': 18018109394781616, 'n': 29, 'trace_an': 20}
-
id: 41734860
{'hecke_orbit_code': 18018109394781616, 'n': 30, 'trace_an': 0}
-
id: 41734861
{'hecke_orbit_code': 18018109394781616, 'n': 31, 'trace_an': 0}
-
id: 41734862
{'hecke_orbit_code': 18018109394781616, 'n': 32, 'trace_an': 0}
-
id: 41734863
{'hecke_orbit_code': 18018109394781616, 'n': 33, 'trace_an': 6}
-
id: 41734864
{'hecke_orbit_code': 18018109394781616, 'n': 34, 'trace_an': 0}
-
id: 41734865
{'hecke_orbit_code': 18018109394781616, 'n': 35, 'trace_an': 4}
-
id: 41734866
{'hecke_orbit_code': 18018109394781616, 'n': 36, 'trace_an': 0}
-
id: 41734867
{'hecke_orbit_code': 18018109394781616, 'n': 37, 'trace_an': -6}
-
id: 41734868
{'hecke_orbit_code': 18018109394781616, 'n': 38, 'trace_an': 0}
-
id: 41734869
{'hecke_orbit_code': 18018109394781616, 'n': 39, 'trace_an': -26}
-
id: 41734870
{'hecke_orbit_code': 18018109394781616, 'n': 40, 'trace_an': 0}
-
id: 41734871
{'hecke_orbit_code': 18018109394781616, 'n': 41, 'trace_an': -12}
-
id: 41734872
{'hecke_orbit_code': 18018109394781616, 'n': 42, 'trace_an': 0}
-
id: 41734873
{'hecke_orbit_code': 18018109394781616, 'n': 43, 'trace_an': 12}
-
id: 41734874
{'hecke_orbit_code': 18018109394781616, 'n': 44, 'trace_an': 0}
-
id: 41734875
{'hecke_orbit_code': 18018109394781616, 'n': 45, 'trace_an': 18}
-
id: 41734876
{'hecke_orbit_code': 18018109394781616, 'n': 46, 'trace_an': 0}
-
id: 41734877
{'hecke_orbit_code': 18018109394781616, 'n': 47, 'trace_an': 0}
-
id: 41734878
{'hecke_orbit_code': 18018109394781616, 'n': 48, 'trace_an': 0}
-
id: 41734879
{'hecke_orbit_code': 18018109394781616, 'n': 49, 'trace_an': 6}
-
id: 41734880
{'hecke_orbit_code': 18018109394781616, 'n': 50, 'trace_an': 0}
-
id: 41734881
{'hecke_orbit_code': 18018109394781616, 'n': 51, 'trace_an': -16}
-
id: 41734882
{'hecke_orbit_code': 18018109394781616, 'n': 52, 'trace_an': 0}
-
id: 41734883
{'hecke_orbit_code': 18018109394781616, 'n': 53, 'trace_an': 20}
-
id: 41734884
{'hecke_orbit_code': 18018109394781616, 'n': 54, 'trace_an': 0}
-
id: 41734885
{'hecke_orbit_code': 18018109394781616, 'n': 55, 'trace_an': -24}
-
id: 41734886
{'hecke_orbit_code': 18018109394781616, 'n': 56, 'trace_an': 0}
-
id: 41734887
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{'hecke_orbit_code': 18018109394781616, 'n': 997, 'trace_an': -62}