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mf_newforms • Show schema
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{'Nk2': 2240, 'analytic_conductor': 4.471622513191702, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 49, 'char_orbit_label': 'bw', 'char_order': 6, 'char_parity': 1, 'char_values': [560, 6, [351, 421, 337, 241], [6, 6, 3, 2]], 'cm_discs': [], 'conrey_index': 289, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, -1, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4506898195808816, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 35, 10, 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': '560.2.bw.b', 'level': 560, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '35.2.j.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 10, 'qexp_display': 'q+\\zeta_{12}q^{3}+(-2\\zeta_{12}-\\zeta_{12}^{2}+2\\zeta_{12}^{3})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '560.2.bw', 'trace_display': [0, 0, -2, 0], 'trace_hash': 1101203247103772805, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.714', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '84.451', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2979.861', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.511', 'prec': 17}, 'traces': [4, 0, 0, 0, -2, 0, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, 0, -12, 0, -10, 0, 0, 0, 6, 0, 0, 0, -28, 0, 4, 0, 0, 0, 16, 0, 0, 0, 4, 0, 20, 0, 0, 0, -4, 0, 0, 0, 26, 0, -4, 0, 0, 0, 0, 0, 0, 0, -20, 0, -14, 0, 0, 0, 8, 0, 0, 0, -12, 0, 8, 0, 0, 0, 8, 0, 0, 0, 4, 0, -2, 0, 0, 0, 16, 0, 0, 0, 18, 0, 4, 0, 0, 0, -12, 0, 0, 0, 0, 0, -18, 0, 0, 0, 2, 0, 0, 0, 10, 0, -32, 0, 0, 0, 12, 0, 0, 0, 20, 0, 22, 0, 0, 0, -44, 0, 0, 0, -14, 0, 8, 0, 0, 0, 20, 0, 0, 0, 32, 0, 0, 0, 0, 0, 14, 0, 0, 0, 2, 0, 28, 0, 0, 0, -8, 0, 0, 0, 12, 0, 24, 0, 0, 0, 0, 0, 0, 0, 36, 0, -24, 0, 0, 0, -40, 0, 0, 0, 4, 0, -12, 0, 0, 0, 32, 0, 0, 0, 10, 0, 24, 0, 0, 0, -8, 0, 0, 0, 8, 0, -10, 0, 0, 0, -10, 0, 0, 0, 0, 0, 40, 0, 0, 0, -28, 0, 0, 0, -12, 0, -8, 0, 0, 0, -24, 0, 0, 0, -44, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 1, 0, 0], [0, 0, 0, 0], [0, -2, -1, 2], [0, 0, 0, 0], [0, -3, 0, 2], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [-2, 0, 0, -1], [0, 0, 0, 0], [0, -2, 0, 0], [0, 0, 0, 0], [0, 0, -6, 0], [0, 0, 0, 0], [-2, 0, -1, 0], [0, 0, 0, 0], [0, -3, 0, 3], [0, 0, 0, 0], [3, 4, -3, 0], [0, 0, 0, 0], [0, 0, 0, -5], [0, 0, 0, 0], [-7, 0, 0, 0], [0, 0, 0, 0], [2, 0, -2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, 2, -4, 1], [0, 0, 0, 0], [0, -8, 0, 8], [0, 0, 0, 0], [2, 0, -2, 0], [0, 0, 0, 0], [5, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 7], [0, 0, 0, 0], [-2, 4, 2, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [8, 0, -3, 0], [0, 0, 0, 0], [0, 0, -2, 0], [0, 0, 0, 0], [0, 6, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -6], [0, 0, 0, 0], [-10, 0, 10, 0], [0, 0, 0, 0], [0, 0, -7, 0], [0, 0, 0, 0], [0, 4, 0, 2], [0, 0, 0, 0], [0, -2, 4, 2], [0, 0, 0, 0], [0, -5, 0, 0], [0, 0, 0, 0], [-3, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, 0], [0, 0, 0, 0], [0, -6, 0, 0], [0, 0, 0, 0], [0, 3, 4, -3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 2, 0], [0, 0, 0, 0], [-1, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, -11], [0, 0, 0, 0], [4, 0, 0, 2], [0, 0, 0, 0], [0, -7, 0, 0], [0, 0, 0, 0], [0, 0, 9, 0], [0, 0, 0, 0], [-2, 0, 6, 0], [0, 0, 0, 0], [0, 2, 0, -2], [0, 0, 0, 0], [-6, 12, 6, 0], [0, 0, 0, 0], [0, 0, 0, -16], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 1, 0, 0], [0, -2, -1, 2], [0, -3, 0, 2], [0, 0, 0, 0], [0, 0, 0, -2], [0, -2, 0, 0], [0, 0, -6, 0], [0, -3, 0, 3], [-7, 0, 0, 0], [2, 0, -2, 0], [0, -8, 0, 8], [5, 0, 0, 0], [0, 0, 0, 7], [0, 0, 0, 0], [0, 6, 0, 0], [-10, 0, 10, 0], [0, 0, -7, 0], [0, -5, 0, 0], [2, 0, 0, 0], [0, -6, 0, 0], [0, 0, 2, 0], [0, 0, 0, -11], [0, 0, 9, 0], [0, 0, 0, -16], [-9, 0, 9, 0], [0, 7, 0, -7], [0, -11, 0, 11], [5, 0, -5, 0], [0, 0, 0, 6], [0, 0, 0, -16], [0, 0, 4, 0], [0, 0, 0, 0], [8, 0, 0, 0], [0, 0, 1, 0], [14, 0, -14, 0], [0, -12, 0, 0], [0, -4, 0, 4], [0, 0, 0, 3], [0, 12, 0, -12], [2, 0, -2, 0], [-3, 0, 0, 0], [0, 0, 12, 0], [0, -4, 0, 0], [0, 0, 0, -8], [4, 0, -4, 0], [10, 0, 0, 0], [0, 0, 0, 0], [0, -20, 0, 0], [0, 0, -22, 0], [0, -14, 0, 14], [-18, 0, 0, 0], [14, 0, -14, 0], [-30, 0, 0, 0], [0, 20, 0, -20], [0, 9, 0, 0], [-11, 0, 11, 0], [0, 0, -2, 0], [0, -10, 0, 0], [-14, 0, 0, 0], [0, -16, 0, 0], [0, 0, 0, -24], [0, 0, 0, -23], [30, 0, -30, 0], [0, -24, 0, 24], [0, -6, 0, 6], [0, 0, 6, 0], [0, 0, 0, 18], [0, 15, 0, 0], [17, 0, 0, 0], [0, -26, 0, 0], [0, 0, -10, 0], [0, 27, 0, 0], [0, 24, 0, -24], [-10, 0, 0, 0], [0, 5, 0, -5], [14, 0, -14, 0], [0, -16, 0, 16], [0, 0, -3, 0], [-25, 0, 25, 0], [24, 0, 0, 0], [15, 0, 0, 0], [-32, 0, 32, 0], [0, 0, 0, 2], [0, 0, -24, 0], [0, 31, 0, -31], [-31, 0, 0, 0], [0, 32, 0, -32], [18, 0, 0, 0], [0, 0, 0, 3], [0, -3, 0, 3], [-42, 0, 42, 0], [0, -12, 0, 0], [26, 0, 0, 0], [0, 0, -16, 0], [0, 0, 0, -15], [0, 0, 27, 0], [-14, 0, 14, 0], [0, 4, 0, -4], [0, 0, 3, 0], [0, 0, 0, 17], [0, 44, 0, 0], [0, -33, 0, 0], [0, 0, -18, 0], [-18, 0, 18, 0], [0, 32, 0, 0], [0, 0, 0, 36], [0, -22, 0, 22], [44, 0, -44, 0], [10, 0, 0, 0], [0, 33, 0, -33], [0, -34, 0, 0], [0, 0, 0, -4], [-28, 0, 28, 0], [-40, 0, 0, 0], [11, 0, -11, 0], [0, 0, 0, -4], [0, 47, 0, 0], [0, 26, 0, -26], [6, 0, 0, 0], [9, 0, -9, 0], [0, 0, 0, 36], [0, -14, 0, 14], [0, -35, 0, 0], [0, 0, -20, 0], [-1, 0, 0, 0], [0, 0, -49, 0], [0, 0, -36, 0], [0, 0, 0, 47], [0, 16, 0, -16], [-16, 0, 16, 0], [0, 0, 0, -49], [0, 0, -12, 0], [0, 0, 0, 22], [0, 0, -14, 0], [30, 0, 0, 0], [0, 18, 0, 0], [0, -17, 0, 0], [0, 0, 0, 40], [9, 0, -9, 0], [2, 0, 0, 0], [0, 0, -22, 0], [0, -25, 0, 0], [0, 0, 0, 39], [-30, 0, 30, 0], [48, 0, 0, 0], [0, 0, 0, 6], [0, 12, 0, 0], [0, 0, 32, 0], [0, -9, 0, 9], [0, -2, 0, 2], [-43, 0, 0, 0], [0, 0, 0, 36], [0, -43, 0, 43], [0, -19, 0, 0], [-24, 0, 0, 0], [0, 0, -34, 0], [0, 0, -29, 0], [0, 0, 0, -8], [18, 0, -18, 0], [0, 57, 0, -57], [0, 0, 0, -60], [0, 0, 0, 13], [0, 0, -32, 0], [0, -60, 0, 0], [0, -3, 0, 0], [-50, 0, 50, 0], [0, 2, 0, 0]], 'char_orbit_index': 49, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 4506898195808816, 'hecke_ring_character_values': [[351, [1, 0, 0, 0]], [421, [1, 0, 0, 0]], [337, [-1, 0, 0, 0]], [241, [0, 0, -1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '560.2.bw.b', 'level': 560, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2240, 'analytic_conductor': 4.471622513191702, 'char_conductor': 35, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 49, 'char_orbit_label': 'bw', 'char_order': 6, 'char_parity': 1, 'char_values': [560, 6, [351, 421, 337, 241], [6, 6, 3, 2]], 'conrey_index': 289, 'cusp_dim': 168, 'dim': 44, 'eis_dim': 48, 'eis_new_dim': 8, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 3298568438320, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 24], 'label': '560.2.bw', 'level': 560, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 216, 'mf_new_dim': 52, 'num_forms': 6, 'prim_orbit_index': 10, 'relative_dim': 22, 'sturm_bound': 192, 'trace_bound': 9, 'trace_display': [0, 0, -1, 0], 'traces': [44, 0, 0, 0, -1, 0, 0, 0, 16, 0, 2, 0, 0, 0, 10, 0, 0, 0, 14, 0, -14, 0, 0, 0, -5, 0, 0, 0, 0, 0, 14, 0, 0, 0, 13, 0, 0, 0, -16, 0, -16, 0, 0, 0, 12, 0, 0, 0, -20, 0, 26, 0, 0, 0, -18, 0, 0, 0, 30, 0, -2, 0, 0, 0, -4, 0, 0, 0, -36, 0, -32, 0, 0, 0, 25, 0, 0, 0, 26, 0, 10, 0, 0, 0, -30, 0, 0, 0, 10, 0, -80, 0, 0, 0, 27, 0, 0, 0, 8, 0, 2, 0, 0, 0, 22, 0, 0, 0, -18, 0, 4, 0, 0, 0, 27, 0, 0, 0, -10, 0, 8, 0, 0, 0, -28, 0, 0, 0, 20, 0, -82, 0, 0, 0, 1, 0, 0, 0, -112, 0, -28, 0, 0, 0, 6, 0, 0, 0, -26, 0, -10, 0, 0, 0, -106, 0, 0, 0, -62, 0, 14, 0, 0, 0, -27, 0, 0, 0, -12, 0, -100, 0, 0, 0, -41, 0, 0, 0, 26, 0, -32, 0, 0, 0, -39, 0, 0, 0, -16, 0, -46, 0, 0, 0, 48, 0, 0, 0, -18, 0, -18, 0, 0, 0, -2, 0, 0, 0, 60, 0, 168, 0, 0, 0, -34, 0, 0, 0, -30, 0, 40, 0, 0, 0, 32, 0, 0, 0, 38, 0, 202, 0, 0, 0, -49, 0, 0, 0, 32, 0, -38, 0, 0, 0, 55, 0, 0, 0, 32, 0, 152, 0, 0, 0, -89, 0, 0, 0, 86, 0, -20, 0, 0, 0, 90, 0, 0, 0, -10, 0, 178, 0, 0, 0, -47, 0, 0, 0, 160, 0, -16, 0, 0, 0, -17, 0, 0, 0, 28, 0, 32, 0, 0, 0, 150, 0, 0, 0, 108, 0, 96, 0, 0, 0, 21, 0, 0, 0, 20, 0, 110, 0, 0, 0, 180, 0, 0, 0, -12, 0, 4, 0, 0, 0, -32, 0, 0, 0, 10, 0, 62, 0, 0, 0, -54, 0, 0, 0, 56, 0, 26, 0, 0, 0, -21, 0, 0, 0, 64, 0, -432, 0, 0, 0, 88, 0, 0, 0, 34, 0, -8, 0, 0, 0, -6, 0, 0, 0, -88, 0, -142, 0, 0, 0, 116, 0, 0, 0, -24, 0, -40, 0, 0, 0, -34, 0, 0, 0, 46, 0, -84, 0, 0, 0, 31, 0, 0, 0, -188, 0, -58, 0, 0, 0, 230, 0, 0, 0, -2, 0, -238, 0, 0, 0, 6, 0, 0, 0, -232, 0, -40, 0, 0, 0, -59, 0, 0, 0, 128, 0, -82, 0, 0, 0, -220, 0, 0, 0, -118, 0, -64, 0, 0, 0, 65, 0, 0, 0, -16, 0, -120, 0, 0, 0, -208, 0, 0, 0, -58, 0, 8, 0, 0, 0, 17, 0, 0, 0, -2, 0, -94, 0, 0, 0, -22, 0, 0, 0, -74, 0, 36, 0, 0, 0, 12, 0, 0, 0, -220, 0, 368, 0, 0, 0, -192, 0, 0, 0, -54, 0, -80, 0, 0, 0, -82, 0, 0, 0, -30, 0, 310, 0, 0, 0, -73, 0, 0, 0, 212, 0, 74, 0, 0, 0, -39, 0, 0, 0, -116, 0, 144, 0, 0, 0, -117, 0, 0, 0, 10, 0, -54, 0, 0, 0, -186, 0, 0, 0, 124, 0, 292, 0, 0, 0, -59, 0, 0, 0, -16, 0, -108, 0, 0, 0, -20, 0, 0, 0, -38, 0, 126, 0, 0, 0, 422, 0, 0, 0, 186, 0, 28, 0, 0, 0, -28, 0, 0, 0, 68, 0, 216, 0, 0, 0, 178, 0, 0, 0, 38, 0, -40, 0, 0, 0, 18, 0, 0, 0, -152, 0, 44, 0, 0, 0, 156, 0, 0, 0, 82, 0, 34, 0, 0, 0, 3, 0, 0, 0, -252, 0, -448, 0, 0, 0, 142, 0, 0, 0, 208, 0, 50, 0, 0, 0, -52, 0, 0, 0, 130, 0, -470, 0, 0, 0, 87, 0, 0, 0, -144, 0, 126, 0, 0, 0, 77, 0, 0, 0, -168, 0, -308, 0, 0, 0, 115, 0, 0, 0, -280, 0, 78, 0, 0, 0, -270, 0, 0, 0, 28, 0, -334, 0, 0, 0, 108, 0, 0, 0, -92, 0, 24, 0, 0, 0, 47, 0, 0, 0, -62, 0, -240, 0, 0, 0, -392, 0, 0, 0, -134, 0, 90, 0, 0, 0, -30, 0, 0, 0, 196, 0, -284, 0, 0, 0, -214, 0, 0, 0, 42, 0, 192, 0, 0, 0, -47, 0, 0, 0, -166, 0, -166, 0, 0, 0, 6, 0, 0, 0, 46, 0, 2, 0, 0, 0, -48, 0, 0, 0, 160, 0, 772, 0, 0, 0, -247, 0, 0, 0, 8, 0, 72, 0, 0, 0, 74, 0, 0, 0, 38, 0, 384, 0, 0, 0, -201, 0, 0, 0, 268, 0, -68, 0, 0, 0, -15, 0, 0, 0, 126, 0, 72, 0, 0, 0, -57, 0, 0, 0, 116, 0, 182, 0, 0, 0, 322, 0, 0, 0, 46, 0, 474, 0, 0, 0, -62, 0, 0, 0, 192, 0, -20, 0, 0, 0, 155, 0, 0, 0, 94, 0, 226, 0, 0, 0, 336, 0, 0, 0, 106, 0, -36, 0, 0, 0, 49, 0, 0, 0, 132, 0, 272, 0, 0, 0, 368, 0, 0, 0, 16, 0, 80, 0, 0, 0, -167, 0, 0, 0, 68, 0, 198, 0, 0, 0, 174, 0, 0, 0, 244, 0, -102, 0, 0, 0, -14, 0, 0, 0, 328, 0, -672, 0, 0, 0, 365, 0, 0, 0, 74, 0, -80, 0, 0, 0, 210, 0, 0, 0, -110, 0, -458, 0, 0, 0, 129, 0, 0, 0, -364, 0, -170, 0, 0, 0, 15, 0, 0, 0, 192, 0, -172, 0, 0, 0, 187, 0, 0, 0, -50, 0, -60, 0, 0, 0, 162, 0, 0, 0, 98, 0, -458, 0, 0, 0, 48, 0, 0, 0, 44, 0, 200, 0, 0, 0, -60, 0, 0, 0, 100, 0, -162, 0, 0, 0, -586, 0, 0, 0, -166, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 383705
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.2.j.a', 'target_level': 35, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 383706
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.2.j.a', 'target_level': 35, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 383707
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.2.j.a', 'target_level': 35, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 383708
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '35.2.j.a', 'target_level': 35, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 383709
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.2.e.a', 'target_level': 175, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 383710
{'conductor': 140, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '175.2.e.a', 'target_level': 175, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 383711
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.2.e.b', 'target_level': 175, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 383712
{'conductor': 140, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.2.e.b', 'target_level': 175, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 383713
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '245.2.b.b', 'target_level': 245, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 383714
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '245.2.b.b', 'target_level': 245, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 383715
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '245.2.b.c', 'target_level': 245, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 383716
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '245.2.b.c', 'target_level': 245, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 383717
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '245.2.j.c', 'target_level': 245, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 383718
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '245.2.j.c', 'target_level': 245, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 383719
{'conductor': 140, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '245.2.j.c', 'target_level': 245, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 383720
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '245.2.j.c', 'target_level': 245, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 383721
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 32, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '315.2.bf.a', 'target_level': 315, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 383722
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 32, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '315.2.bf.a', 'target_level': 315, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 383723
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 32, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '315.2.bf.a', 'target_level': 315, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 383724
{'conductor': 420, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 32, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '315.2.bf.a', 'target_level': 315, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '420.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 383725
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '560.2.bw.b', 'target_level': 560, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 383726
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '560.2.bw.b', 'target_level': 560, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 383727
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '560.2.bw.b', 'target_level': 560, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 383728
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 49, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '560.2.bw.b', 'target_level': 560, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 383729
{'conductor': 140, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1225.2.a.b', 'target_level': 1225, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 383730
{'conductor': 140, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1225.2.a.d', 'target_level': 1225, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 383731
{'conductor': 140, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1225.2.a.f', 'target_level': 1225, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 383732
{'conductor': 140, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1225.2.a.g', 'target_level': 1225, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '140.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 383733
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2205.2.d.d', 'target_level': 2205, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 383734
{'conductor': 420, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2205.2.d.d', 'target_level': 2205, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '420.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 383735
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2205.2.d.e', 'target_level': 2205, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 383736
{'conductor': 420, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 49, 'source_dim': 4, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '560.2.bw.b', 'source_level': 560, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '2205.2.d.e', 'target_level': 2205, 'twist_class_label': '35.2.j.a', 'twist_class_level': 35, 'twisting_char_label': '420.be', 'twisting_char_orbit': 31, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1048050
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4506898195808816, 'p': 2}
-
id: 1048051
{'charpoly_factorization': [[[1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4506898195808816, 'p': 3}
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id: 1048052
{'charpoly_factorization': [[[25, 10, -1, 2, 1], 1]], 'hecke_orbit_code': 4506898195808816, 'p': 5}
-
id: 1048053
{'charpoly_factorization': [[[49, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 4506898195808816, 'p': 7}
-
id: 1048054
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4506898195808816, 'p': 11}
-
id: 1048055
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 4506898195808816, 'p': 13}
-
id: 1048056
{'charpoly_factorization': [[[16, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 4506898195808816, 'p': 17}
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id: 1048057
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 4506898195808816, 'p': 19}
-
id: 1048058
{'charpoly_factorization': [[[81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 4506898195808816, 'p': 23}
-
id: 1048059
{'charpoly_factorization': [[[7, 1], 4]], 'hecke_orbit_code': 4506898195808816, 'p': 29}
-
id: 1048060
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 4506898195808816, 'p': 31}
-
id: 1048061
{'charpoly_factorization': [[[4096, 0, -64, 0, 1], 1]], 'hecke_orbit_code': 4506898195808816, 'p': 37}
-
id: 1048062
{'charpoly_factorization': [[[-5, 1], 4]], 'hecke_orbit_code': 4506898195808816, 'p': 41}
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id: 1048063
{'charpoly_factorization': [[[49, 0, 1], 2]], 'hecke_orbit_code': 4506898195808816, 'p': 43}
-
id: 1048064
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 4506898195808816, 'p': 47}
-
id: 1048065
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 4506898195808816, 'p': 53}
-
id: 1048066
{'charpoly_factorization': [[[100, 10, 1], 2]], 'hecke_orbit_code': 4506898195808816, 'p': 59}
-
id: 1048067
{'charpoly_factorization': [[[49, 7, 1], 2]], 'hecke_orbit_code': 4506898195808816, 'p': 61}
-
id: 1048068
{'charpoly_factorization': [[[625, 0, -25, 0, 1], 1]], 'hecke_orbit_code': 4506898195808816, 'p': 67}
-
id: 1048069
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 4506898195808816, 'p': 71}
-
id: 1048070
{'charpoly_factorization': [[[1296, 0, -36, 0, 1], 1]], 'hecke_orbit_code': 4506898195808816, 'p': 73}
-
id: 1048071
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 4506898195808816, 'p': 79}
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id: 1048072
{'charpoly_factorization': [[[121, 0, 1], 2]], 'hecke_orbit_code': 4506898195808816, 'p': 83}
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id: 1048073
{'charpoly_factorization': [[[81, -9, 1], 2]], 'hecke_orbit_code': 4506898195808816, 'p': 89}
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id: 1048074
{'charpoly_factorization': [[[256, 0, 1], 2]], 'hecke_orbit_code': 4506898195808816, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 49, 'hecke_orbit': 2, 'label': '560.2.bw.b', 'level': 560, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 25602607
{'hecke_orbit_code': 4506898195808816, 'n': 1, 'trace_an': 4}
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id: 25602608
{'hecke_orbit_code': 4506898195808816, 'n': 2, 'trace_an': 0}
-
id: 25602609
{'hecke_orbit_code': 4506898195808816, 'n': 3, 'trace_an': 0}
-
id: 25602610
{'hecke_orbit_code': 4506898195808816, 'n': 4, 'trace_an': 0}
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id: 25602611
{'hecke_orbit_code': 4506898195808816, 'n': 5, 'trace_an': -2}
-
id: 25602612
{'hecke_orbit_code': 4506898195808816, 'n': 6, 'trace_an': 0}
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id: 25602613
{'hecke_orbit_code': 4506898195808816, 'n': 7, 'trace_an': 0}
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id: 25602614
{'hecke_orbit_code': 4506898195808816, 'n': 8, 'trace_an': 0}
-
id: 25602615
{'hecke_orbit_code': 4506898195808816, 'n': 9, 'trace_an': -4}
-
id: 25602616
{'hecke_orbit_code': 4506898195808816, 'n': 10, 'trace_an': 0}
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id: 25602617
{'hecke_orbit_code': 4506898195808816, 'n': 11, 'trace_an': 0}
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id: 25602618
{'hecke_orbit_code': 4506898195808816, 'n': 12, 'trace_an': 0}
-
id: 25602619
{'hecke_orbit_code': 4506898195808816, 'n': 13, 'trace_an': 0}
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id: 25602620
{'hecke_orbit_code': 4506898195808816, 'n': 14, 'trace_an': 0}
-
id: 25602621
{'hecke_orbit_code': 4506898195808816, 'n': 15, 'trace_an': -8}
-
id: 25602622
{'hecke_orbit_code': 4506898195808816, 'n': 16, 'trace_an': 0}
-
id: 25602623
{'hecke_orbit_code': 4506898195808816, 'n': 17, 'trace_an': 0}
-
id: 25602624
{'hecke_orbit_code': 4506898195808816, 'n': 18, 'trace_an': 0}
-
id: 25602625
{'hecke_orbit_code': 4506898195808816, 'n': 19, 'trace_an': -12}
-
id: 25602626
{'hecke_orbit_code': 4506898195808816, 'n': 20, 'trace_an': 0}
-
id: 25602627
{'hecke_orbit_code': 4506898195808816, 'n': 21, 'trace_an': -10}
-
id: 25602628
{'hecke_orbit_code': 4506898195808816, 'n': 22, 'trace_an': 0}
-
id: 25602629
{'hecke_orbit_code': 4506898195808816, 'n': 23, 'trace_an': 0}
-
id: 25602630
{'hecke_orbit_code': 4506898195808816, 'n': 24, 'trace_an': 0}
-
id: 25602631
{'hecke_orbit_code': 4506898195808816, 'n': 25, 'trace_an': 6}
-
id: 25602632
{'hecke_orbit_code': 4506898195808816, 'n': 26, 'trace_an': 0}
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