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mf_newforms • Show schema
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{'Nk2': 9216, 'analytic_conductor': 33.98510016330659, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [576, 2, [127, 325, 65], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 289, 'conrey_indexes': [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': [[5, [192, 0, 1]], [7, [-768, 0, 1]], [17, [-6, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014604735021632, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 1024, 'hecke_ring_index_factorization': [[2, 10]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 2, 1, 2, 0], [1, 1, 8, 4, -1, 2, 0], [1, 1, 4, 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': '576.4.d.e', 'level': 576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '64.4.b.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 2, 'qexp_display': 'q+\\zeta_{12}^{2}q^{5}-\\zeta_{12}^{3}q^{7}+21\\zeta_{12}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '3.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '576.4.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1556166648739730441, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.724', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.315', 'prec': 17}, {'__RealLiteral__': 0, 'data': '108.917', 'prec': 24}, {'__RealLiteral__': 0, 'data': '42.299', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4026.540', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.759', 'prec': 17}, 'traces': [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 1700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2304, 0, 0, 0, 0, 0, 0, 0, 1736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4728, 0, 0, 0, 0, 0, 0, 0, -4952, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6600, 0, 0, 0, 0, 0, 0, 0, -1732, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2088, 0, 0, 0, 0, 0, 0, 0, 13056, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15360, 0, 0, 0, 0, 0, 0, 0, 1876, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, -7384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15792, 0, 0, 0, 0, 0, 0, 0, -12288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19272, 0, 0, 0, 0, 0, 0, 0, -2200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, 0], [0, 0, 0, -1], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 21, 0, 0], [0, 0, 0, 0], [0, 0, -3, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, 0, 0, 0], [0, 0, 0, 0], [0, 47, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -5], [0, 0, 0, 0], [-67, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -17, 0], [0, 0, 0, 0], [0, 0, 0, 4], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -192, 0, 0], [0, 0, 0, 0], [0, 0, -1, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [54, 0, 0, 0], [0, 0, 0, 0], [0, -221, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -2], [0, 0, 0, 0], [425, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 5, 0], [0, 0, 0, 0], [0, 0, 0, -21], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 69, 0, 0], [0, 0, 0, 0], [0, 0, -31, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [576, 0, 0, 0], [0, 0, 0, 0], [0, -89, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -31], [0, 0, 0, 0], [434, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -84, 0], [0, 0, 0, 0], [0, 0, 0, 6], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, -135, 0, 0], [0, 0, 0, 0], [0, 0, 6, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [1182, 0, 0, 0], [0, 0, 0, 0], [0, 576, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -47], [0, 0, 0, 0], [-1238, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0]], 'ap': [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 1, 0], [0, 0, 0, -1], [0, 21, 0, 0], [0, 0, -3, 0], [6, 0, 0, 0], [0, 47, 0, 0], [0, 0, 0, -5], [0, 0, -17, 0], [0, 0, 0, 4], [0, 0, -1, 0], [54, 0, 0, 0], [0, -221, 0, 0], [0, 0, 0, -2], [0, 0, 5, 0], [0, 69, 0, 0], [0, 0, -31, 0], [0, -89, 0, 0], [0, 0, 0, -31], [434, 0, 0, 0], [0, 0, 0, 6], [0, -135, 0, 0], [1182, 0, 0, 0], [-1238, 0, 0, 0], [0, 0, -127, 0], [0, 0, 0, -37], [0, -651, 0, 0], [0, 0, -19, 0], [-1650, 0, 0, 0], [0, 0, 0, -40], [0, 105, 0, 0], [-522, 0, 0, 0], [0, 275, 0, 0], [0, 0, -27, 0], [0, 0, 0, 53], [0, 0, 121, 0], [0, -289, 0, 0], [0, 0, 0, -43], [0, 0, 187, 0], [0, -1959, 0, 0], [0, 0, 259, 0], [0, 0, 0, -112], [-1846, 0, 0, 0], [0, 0, 33, 0], [0, 0, 0, 87], [0, 1495, 0, 0], [0, 0, 0, -196], [0, -1647, 0, 0], [0, 0, -137, 0], [-4818, 0, 0, 0], [0, 0, 0, 206], [-550, 0, 0, 0], [0, 3333, 0, 0], [-4962, 0, 0, 0], [0, 0, 0, 201], [0, 0, 75, 0], [0, 0, 0, 38], [0, 0, 355, 0], [3102, 0, 0, 0], [0, 2051, 0, 0], [0, 0, 281, 0], [0, -2369, 0, 0], [0, 0, 0, -169], [9466, 0, 0, 0], [0, 0, -297, 0], [0, 4187, 0, 0], [-3566, 0, 0, 0], [0, -1947, 0, 0], [0, 0, -367, 0], [-1698, 0, 0, 0], [0, 0, 0, -91], [0, 0, 0, -118], [0, 0, 27, 0], [0, -53, 0, 0], [0, 0, 0, 464], [0, 0, -391, 0], [0, 0, -1019, 0], [6918, 0, 0, 0], [-7270, 0, 0, 0], [0, -5367, 0, 0], [0, 0, -1129, 0], [0, 0, 0, -586], [-10982, 0, 0, 0], [0, 0, 0, -615], [0, 1341, 0, 0], [-14346, 0, 0, 0], [-7894, 0, 0, 0], [0, 0, -261, 0], [0, 0, 0, 246], [0, -2367, 0, 0], [0, 0, 0, -444], [0, 0, 0, -141], [0, 3309, 0, 0], [0, 8503, 0, 0], [0, 0, 0, -425], [0, 0, 671, 0], [246, 0, 0, 0], [0, -7109, 0, 0], [0, 0, -727, 0], [0, -10729, 0, 0], [0, 0, -789, 0], [0, -11103, 0, 0], [-2202, 0, 0, 0], [0, -2845, 0, 0], [18466, 0, 0, 0], [0, -2475, 0, 0], [-6834, 0, 0, 0], [0, 0, 0, -53], [-2014, 0, 0, 0], [0, 0, 0, 164], [0, 0, 2087, 0], [-11730, 0, 0, 0], [0, -9157, 0, 0], [0, 0, 0, -167], [-18570, 0, 0, 0], [0, 13511, 0, 0], [0, 0, 0, -103], [0, 0, -2037, 0], [0, 4281, 0, 0], [0, 0, 1163, 0], [-25430, 0, 0, 0], [0, 0, 1153, 0], [0, -4179, 0, 0], [0, -11449, 0, 0], [0, 0, 639, 0], [0, 0, -1065, 0], [0, 0, 0, 474], [0, 0, 0, -603], [0, 0, 2273, 0], [0, 7375, 0, 0], [0, 0, 0, 77], [0, 0, 0, -190], [0, 0, -1949, 0], [-20538, 0, 0, 0], [-10678, 0, 0, 0], [0, 0, 2009, 0], [0, -6409, 0, 0], [0, 0, 487, 0], [-29130, 0, 0, 0], [0, -14309, 0, 0], [0, 0, -875, 0], [0, 0, 0, 1545], [0, -20787, 0, 0], [0, 0, 1617, 0], [0, 0, 0, 1129], [0, 0, 307, 0], [41862, 0, 0, 0], [0, -5381, 0, 0], [0, 0, 0, 68], [0, 0, 2717, 0], [-4722, 0, 0, 0], [0, 15695, 0, 0], [0, 0, 0, -1425], [0, -2621, 0, 0], [0, 0, 0, 1018], [0, 0, 0, 69], [20118, 0, 0, 0], [-3950, 0, 0, 0], [0, 0, 835, 0], [0, 23073, 0, 0], [47718, 0, 0, 0], [0, 0, 0, -1241], [0, -1059, 0, 0], [-8826, 0, 0, 0], [0, 0, 0, 843], [0, 0, 0, -604], [0, 0, -945, 0]], 'char_orbit_index': 4, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 18014604735021632, 'hecke_ring_character_values': [[127, [1, 0, 0, 0]], [325, [-1, 0, 0, 0]], [65, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 32, 16, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 8, 0, 1], [8, 0, 1, 0], [0, 1, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 0, 2], [-8, 0, 16, 0], [0, 32, 0, -16]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '576.4.d.e', 'level': 576, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 9216, 'analytic_conductor': 33.98510016330659, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [576, 2, [127, 325, 65], [2, 1, 2]], 'conrey_index': 289, 'cusp_dim': 264, 'dim': 30, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 17], 'hecke_orbit_code': 206225539648, 'hecke_orbit_dims': [2, 4, 4, 4, 4, 4, 4, 4], 'label': '576.4.d', 'level': 576, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 312, 'mf_new_dim': 30, 'num_forms': 8, 'prim_orbit_index': 2, 'relative_dim': 30, 'sturm_bound': 384, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 0, 0, 0, 0, -618, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 588, 0, 0, 0, 0, 0, 0, 0, 750, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2304, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2412, 0, 0, 0, 0, 0, 0, 0, 3324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4068, 0, 0, 0, 0, 0, 0, 0, -4638, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1740, 0, 0, 0, 0, 0, 0, 0, 1392, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -4554, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13536, 0, 0, 0, 0, 0, 0, 0, 2988, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6456, 0, 0, 0, 0, 0, 0, 0, -5088, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30612, 0, 0, 0, 0, 0, 0, 0, -3204, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12324, 0, 0, 0, 0, 0, 0, 0, 25104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15948, 0, 0, 0, 0, 0, 0, 0, -6198, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29664, 0, 0, 0, 0, 0, 0, 0, 9132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34272, 0, 0, 0, 0, 0, 0, 0, -29172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15492, 0, 0, 0, 0, 0, 0, 0, 34866, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39168, 0, 0, 0, 0, 0, 0, 0, -9216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41628, 0, 0, 0, 0, 0, 0, 0, -59172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -87924, 0, 0, 0, 0, 0, 0, 0, -11220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5820, 0, 0, 0, 0, 0, 0, 0, 33276, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 103128, 0, 0, 0, 0, 0, 0, 0, 58560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31968, 0, 0, 0, 0, 0, 0, 0, -60144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -125268, 0, 0, 0, 0, 0, 0, 0, -20370, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112320, 0, 0, 0, 0, 0, 0, 0, 111072, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 173292, 0, 0, 0, 0, 0, 0, 0, 38364, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12132, 0, 0, 0, 0, 0, 0, 0, -85764, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -173460, 0, 0, 0, 0, 0, 0, 0, -52386, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74532, 0, 0, 0, 0, 0, 0, 0, 44136, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 308160, 0, 0, 0, 0, 0, 0, 0, 69708, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 154368, 0, 0, 0, 0, 0, 0, 0, -168984, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -205344, 0, 0, 0, 0, 0, 0, 0, 12960, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -193800, 0, 0, 0, 0, 0, 0, 0, 84528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 213516, 0, 0, 0, 0, 0, 0, 0, 70764, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 159264, 0, 0, 0, 0, 0, 0, 0, -173760, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -316788, 0, 0, 0, 0, 0, 0, 0, -20280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -91236, 0, 0, 0, 0, 0, 0, 0, 130566, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 391788, 0, 0, 0, 0, 0, 0, 0, 36816, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 129852, 0, 0, 0, 0, 0, 0, 0, -151584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -408384, 0, 0, 0, 0, 0, 0, 0, -127224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -265860, 0, 0, 0, 0, 0, 0, 0, 368316, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 397068, 0, 0, 0, 0, 0, 0, 0, 41598, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 195420, 0, 0, 0, 0, 0, 0, 0, -128304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 394633
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '64.4.b.b', 'target_level': 64, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 394634
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '64.4.b.b', 'target_level': 64, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 394635
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '64.4.b.b', 'target_level': 64, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 394636
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '64.4.b.b', 'target_level': 64, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 394637
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '256.4.a.i', 'target_level': 256, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 394638
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '256.4.a.i', 'target_level': 256, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 394639
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '256.4.a.m', 'target_level': 256, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 394640
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '256.4.a.m', 'target_level': 256, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 394641
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '576.4.d.e', 'target_level': 576, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 394642
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '576.4.d.e', 'target_level': 576, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 394643
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '576.4.d.e', 'target_level': 576, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 394644
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '576.4.d.e', 'target_level': 576, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 394645
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '2304.4.a.ba', 'target_level': 2304, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 394646
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '2304.4.a.ba', 'target_level': 2304, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 394647
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '2304.4.a.bi', 'target_level': 2304, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 394648
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 4, 'source_hecke_orbit': 5, 'source_is_minimal': False, 'source_label': '576.4.d.e', 'source_level': 576, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '2304.4.a.bi', 'target_level': 2304, 'twist_class_label': '64.4.b.b', 'twist_class_level': 64, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 1070725
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014604735021632, 'p': 2}
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id: 1070726
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 18014604735021632, 'p': 3}
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id: 1070727
{'charpoly_factorization': [[[192, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 5}
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id: 1070728
{'charpoly_factorization': [[[-768, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 7}
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id: 1070729
{'charpoly_factorization': [[[1764, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 11}
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id: 1070730
{'charpoly_factorization': [[[1728, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 13}
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id: 1070731
{'charpoly_factorization': [[[-6, 1], 4]], 'hecke_orbit_code': 18014604735021632, 'p': 17}
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id: 1070732
{'charpoly_factorization': [[[8836, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 19}
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id: 1070733
{'charpoly_factorization': [[[-19200, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 23}
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id: 1070734
{'charpoly_factorization': [[[55488, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 29}
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id: 1070735
{'charpoly_factorization': [[[-12288, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 31}
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id: 1070736
{'charpoly_factorization': [[[192, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 37}
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id: 1070737
{'charpoly_factorization': [[[-54, 1], 4]], 'hecke_orbit_code': 18014604735021632, 'p': 41}
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id: 1070738
{'charpoly_factorization': [[[195364, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 43}
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id: 1070739
{'charpoly_factorization': [[[-3072, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 47}
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id: 1070740
{'charpoly_factorization': [[[4800, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 53}
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id: 1070741
{'charpoly_factorization': [[[19044, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 59}
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id: 1070742
{'charpoly_factorization': [[[184512, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 61}
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id: 1070743
{'charpoly_factorization': [[[31684, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 67}
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id: 1070744
{'charpoly_factorization': [[[-738048, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 71}
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id: 1070745
{'charpoly_factorization': [[[-434, 1], 4]], 'hecke_orbit_code': 18014604735021632, 'p': 73}
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id: 1070746
{'charpoly_factorization': [[[-27648, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 79}
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id: 1070747
{'charpoly_factorization': [[[72900, 0, 1], 2]], 'hecke_orbit_code': 18014604735021632, 'p': 83}
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id: 1070748
{'charpoly_factorization': [[[-1182, 1], 4]], 'hecke_orbit_code': 18014604735021632, 'p': 89}
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id: 1070749
{'charpoly_factorization': [[[1238, 1], 4]], 'hecke_orbit_code': 18014604735021632, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 5, 'label': '576.4.d.e', 'level': 576, 'portrait': 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'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 158081000
{'hecke_orbit_code': 18014604735021632, 'n': 1, 'trace_an': 4}
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id: 158081001
{'hecke_orbit_code': 18014604735021632, 'n': 2, 'trace_an': 0}
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id: 158081002
{'hecke_orbit_code': 18014604735021632, 'n': 3, 'trace_an': 0}
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id: 158081003
{'hecke_orbit_code': 18014604735021632, 'n': 4, 'trace_an': 0}
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id: 158081990
{'hecke_orbit_code': 18014604735021632, 'n': 991, 'trace_an': 0}
-
id: 158081991
{'hecke_orbit_code': 18014604735021632, 'n': 992, 'trace_an': 0}
-
id: 158081992
{'hecke_orbit_code': 18014604735021632, 'n': 993, 'trace_an': 0}
-
id: 158081993
{'hecke_orbit_code': 18014604735021632, 'n': 994, 'trace_an': 0}
-
id: 158081994
{'hecke_orbit_code': 18014604735021632, 'n': 995, 'trace_an': 0}
-
id: 158081995
{'hecke_orbit_code': 18014604735021632, 'n': 996, 'trace_an': 0}
-
id: 158081996
{'hecke_orbit_code': 18014604735021632, 'n': 997, 'trace_an': 0}
-
id: 158081997
{'hecke_orbit_code': 18014604735021632, 'n': 998, 'trace_an': 0}
-
id: 158081998
{'hecke_orbit_code': 18014604735021632, 'n': 999, 'trace_an': 0}
-
id: 158081999
{'hecke_orbit_code': 18014604735021632, 'n': 1000, 'trace_an': 0}