Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 3087, 'analytic_conductor': 14.493407268050612, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 13, 'char_orbit_label': 'm', 'char_order': 6, 'char_parity': -1, 'char_values': [63, 6, [29, 10], [6, 1]], 'cm_discs': [], 'conrey_index': 10, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 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': [[2, [4, 16, 66, -8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504424378531903, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'id': 11875, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 4, -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': '63.7.m.b', 'level': 63, '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': [3, 7], 'level_radical': 21, 'minimal_twist': '7.7.d.b', 'nf_label': '4.0.576.2', 'prim_orbit_index': 4, 'qexp_display': 'q+(-4\\beta _{1}-2\\beta _{2}+\\beta _{3})q^{2}+(30+30\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '6.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '63.7.m', 'trace_display': [8, 0, 150, 280], 'trace_hash': 1050508590930805820, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '3.750', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '53.055', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '1169.790', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.167', 'prec': 10}, 'traces': [4, 8, 0, 60, 150, 0, 280, 928, 0, -1200, -1882, 0, 0, 1820, 0, 248, -13458, 0, 18078, 0, 0, -28088, -2470, 0, 2500, -43848, 0, -45444, 34544, 0, -17202, -7008, 0, 0, -154350, 0, -43870, 81924, 0, -76800, 0, 0, 320216, 4332, 0, -113636, 354714, 0, 140140, -160000, 0, 196056, -104530, 0, 0, 346192, 0, -59432, 62646, 0, -140682, 0, 0, -33248, 77700, 0, 432494, -381276, 0, -338100, 1481528, 0, -971778, -50024, 0, 0, -642670, 0, 935990, -1767000, 0, 286776, 0, 0, -579300, 738712, 0, -840616, 679290, 0, 711480, -2124456, 0, 860892, 291750, 0, 0, 361424, 0, -795000, -1706394, 0, -950358, 0, 0, 2589520, 1124726, 0, 66422, 1943700, 0, -185752, -3576784, 0, -6361050, 1546320, 0, 0, -1901298, 0, 592764, -1415208, 0, 310212, 0, 0, 3336824, 2523584, 0, 2121000, 5359182, 0, 956382, 5081752, 0, -3296352, 1349594, 0, 0, -5909400, 0, 3224632, -9850428, 0, 7721400, 0, 0, -6240264, 7182386, 0, -2875510, 4790040, 0, -9518600, 2582700, 0, 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33929400, 0, 0, 376149920, 400955318, 0, 66842978, -1128456, 0, 98908656, -623755000, 0, -477127794, 59466656, 0, 0, -111515376, 0, 211668550, -582536784, 0, 224409024, 0, 0, -122043804, 35919300, 0, -218260088, 613170078, 0, 459316200, 678446904, 0, -608140512, 24127370, 0, 0, 168400960, 0, 229590516, 657612900, 0, 364058286, 0, 0, 127312800, 477164436, 0, 36942422, 243589248, 0, -380365888, -854484352, 0, 26543346, 18112500, 0, 0, -725575242, 0, 299218750, -802155288, 0, -90303948, 0, 0, 583266104, 139371176, 0, -390699272, 1301240100, 0, -697876032, 185403632, 0, -238368000, 36676214, 0, 0, 362994240, 0, -193215684, -930002826, 0, 151510398, 0, 0, 373837224, -608889322, 0, 267481350, 331947504, 0, 279234144, -945669208, 0, -357070458, 88099828, 0, 0, -724070550, 0, -462283040, -504694008, 0, -360858900, 0, 0, 74638544, 459361576, 0, 81774060, -366086298, 0, -32442312, 357535200, 0, 292760304, 30090614, 0, 0, -30385684, 0, 117347152, -53311860, 0, 54545082, 0, 0, -997266680, 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-2575829152, -1803804358, 0, 1885427964, -807225000, 0, -1060014648, -516488176, 0, -1337506950, 495821136, 0, 0, 1120619234, 0, -1626915296, -247346568, 0, 456180228, 0, 0, 1738625960, -622791696, 0, -700337400, 2520075246, 0, 1936119360, -52643048, 0, -863104728, -884710966, 0, 0, 2373285600, 0, -1561555256, 997262682, 0, -2138071200, 0, 0, 1001112336, 139465300, 0, 1153655222, 73083024, 0, 734519296, 602687100, 0, -56514, 121372900, 0, 0], 'weight': 7, 'weight_parity': -1}