Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 5000, 'analytic_conductor': 20.673992616768864, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 4, 'char_parity': -1, 'char_values': [200, 4, [151, 101, 177], [4, 4, 1]], 'cm_discs': [], 'conrey_index': 57, 'dim': 4, 'field_disc': 13456, 'field_disc_factorization': [[2, 4], [29, 2]], 'field_poly': [49, 0, 15, 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, [18, -6, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007955252871368, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 800, 'hecke_ring_index_factorization': [[2, 5], [5, 2]], 'hecke_ring_index_proved': True, 'id': 30758, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 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': '200.5.l.c', 'level': 200, 'level_is_powerful': True, '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], 'level_radical': 10, 'minimal_twist': '40.5.l.b', 'nf_label': '4.0.13456.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(3-3\\beta _{1})q^{3}+(-11-11\\beta _{1}+\\beta _{2}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '4.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '200.5.l', 'trace_display': [0, 12, 0, -44], 'trace_hash': 2225772930903126674, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.058', 'prec': 7}, {'__RealLiteral__': 0, 'data': '3.993', 'prec': 14}, {'__RealLiteral__': 0, 'data': '0.223', 'prec': 10}, {'__RealLiteral__': 0, 'data': '59.313', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '1359.096', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.248', 'prec': 10}, 'traces': [4, 0, 12, 0, 0, 0, -44, 0, 0, 0, -296, 0, -316, 0, 0, 0, 220, 0, 0, 0, -264, 0, -652, 0, 0, 0, 1728, 0, 0, 0, -2760, 0, -888, 0, 0, 0, 2052, 0, 0, 0, -4312, 0, 1724, 0, 0, 0, 5252, 0, 0, 0, 1320, 0, -6924, 0, 0, 0, 2256, 0, 0, 0, -12120, 0, 2772, 0, 0, 0, 6012, 0, 0, 0, 2232, 0, -17812, 0, 0, 0, -19944, 0, 0, 0, -10044, 0, 16332, 0, 0, 0, 10032, 0, 0, 0, 30152, 0, -8280, 0, 0, 0, -11812, 0, 0, 0, 20104, 0, 48724, 0, 0, 0, -8180, 0, 0, 0, 12312, 0, -1284, 0, 0, 0, -19908, 0, 0, 0, 9740, 0, -12936, 0, 0, 0, -32188, 0, 0, 0, 25432, 0, 31472, 0, 0, 0, -10196, 0, 0, 0, 31512, 0, 184, 0, 0, 0, 43692, 0, 0, 0, 24568, 0, -13860, 0, 0, 0, -1932, 0, 0, 0, -55256, 0, -18868, 0, 0, 0, -83916, 0, 0, 0, -47376, 0, -18812, 0, 0, 0, 6768, 0, 0, 0, 44808, 0, -36360, 0, 0, 0, 76520, 0, 0, 0, -235400, 0, 59964, 0, 0, 0, 108004, 0, 0, 0, 36072, 0, -79216, 0, 0, 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536076, 0, 0, 0, -2221008, 0, -178012, 0, 0, 0, 183948, 0, 0, 0, -439496, 0, 744156, 0, 0, 0, -426028, 0, 0, 0, -1275480, 0, -1229460, 0, 0, 0, -235596, 0, 0, 0, 743256, 0, -1381776, 0, 0, 0, -100248, 0, 0, 0, -2153640, 0, 1417416, 0, 0, 0, -3115764, 0, 0, 0, 2320952, 0, -3064568, 0, 0, 0, 3409048, 0, 0, 0, 546984, 0, 682072, 0, 0, 0, 3069612, 0, 0, 0, -3758832, 0, -729432, 0, 0, 0, -2462420, 0, 0, 0, 1759496, 0, 1955656, 0, 0, 0, 167580, 0, 0, 0, 326136, 0, 2420556, 0, 0, 0, -1438368, 0, 0, 0, -629684, 0, 515340, 0, 0, 0, 3729140, 0, 0, 0, 3492696, 0, -4250672, 0, 0, 0, 162556, 0, 0, 0, 2133936, 0, 528276, 0, 0, 0, -1529832, 0, 0, 0, 3307192, 0, 1883976, 0, 0, 0, 746564, 0, 0, 0], 'weight': 5, 'weight_parity': -1}