Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 29624, 'analytic_conductor': 59.13720773696025, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, 1], [23, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7406, 1, [2117, 3179], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_disc': 84770496, 'field_disc_factorization': [[2, 6], [3, 3], [49057, 1]], 'field_poly': [1, -28, 6, 24, -10, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [1, -28, 6, 24, -10, -2, 1]], [5, [-128, 176, 77, -54, -15, 4, 1]], [11, [52, 224, 357, 264, 95, 16, 1]]], 'hecke_orbit': 37, 'hecke_orbit_code': 162129586618899694, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 242137, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '7406.2.a.bk', 'level': 7406, '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, 23], 'level_radical': 322, 'minimal_twist': '7406.2.a.bk', 'nf_label': '6.6.84770496.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+\\beta _{1}q^{3}+q^{4}+(-1-\\beta _{4})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7406.2.a', 'trace_display': [6, 2, -4, -6], 'trace_hash': 1916358289631164357, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '5.567', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '89.573', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '2292.743', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 4}, 'traces': [6, 6, 2, 6, -4, 2, -6, 6, 6, -4, -16, 2, 0, -6, 0, 6, -2, 6, -18, -4, -2, -16, 0, 2, 16, 0, -16, -6, 4, 0, -2, 6, 18, -2, 4, 6, -4, -18, 6, -4, 0, -2, -8, -16, -42, 0, 8, 2, 6, 16, -4, 0, 8, -16, 12, -6, -28, 4, 2, 0, -28, -2, -6, 6, -24, 18, -16, -2, 0, 4, -10, 6, -28, -4, -32, -18, 16, 6, -16, -4, -2, 0, -24, -2, 2, -8, -20, -16, 46, -42, 0, 0, -2, 8, -2, 2, -2, 6, -28, 16, -26, -4, -26, 0, 0, 8, -64, -16, 20, 12, -62, -6, -12, -28, 0, 4, -18, 2, 2, 0, 0, -28, -10, -2, -42, -6, 20, 6, 50, -24, -68, 18, 18, -16, 80, -2, -28, 0, -28, 4, -54, -10, 6, 6, 8, -28, 2, -4, -8, -32, -18, -18, -38, 16, 44, 6, -24, -16, -28, -4, 0, -2, 0, 0, -54, -24, 16, -2, 24, 2, -10, -8, 4, -20, -16, -16, 34, 46, -18, -42, -2, 0, -28, 0, 30, -2, 2, 8, 16, -2, -4, 2, 46, -2, -90, 6, 6, -28, -62, 16, 28, -26, -4, -4, 0, -26, 0, 0, 26, 0, 36, 8, -10, -64, 14, -16, 2, 20, 12, 12, 12, -62, -16, -6, 52, -12, 80, -28, -26, 0, -18, 4, 4, -18, -60, 2, 50, 2, 6, 0, -58, 0, -66, -28, -4, -10, 60, -2, -36, -42, 0, -6, 0, 20, -6, 6, 82, 50, 4, -24, 56, -68, -52, 18, -80, 18, 8, -16, 18, 80, -4, -2, -6, -28, -80, 0, 2, -28, 8, 4, 12, -54, 28, -10, -2, 6, 0, 6, 8, 8, -68, -28, 14, 2, 0, -4, 64, -8, 0, -32, 8, -18, -38, -18, 56, -38, -28, 16, -92, 44, 10, 6, 18, -24, 42, -16, 42, -28, -32, -4, -52, 0, -26, -2, 54, 0, 34, 0, -8, -54, 6, -24, 16, 16, -12, -2, -12, 24, 76, 2, 4, -10, -6, -8, 0, 4, 30, -20, -2, -16, 18, -16, -28, 34, -70, 46, 4, -18, 16, -42, 28, -2, -152, 0, 88, -28, 32, 0, -62, 30, -8, -2, 48, 2, 72, 8, -84, 16, -48, -2, 56, -4, -72, 2, -12, 46, -44, -2, 4, -90, 0, 6, -12, 6, -30, -28, -42, -62, 28, 16, -24, 28, -162, -26, -4, -4, -50, -4, 24, 0, 24, -26, -2, 0, 46, 0, 18, 26, 50, 0, 24, 36, 50, 8, 36, -10, 28, -64, -36, 14, 12, -16, -26, 2, 116, 20, 0, 12, -30, 12, 6, 12, -46, -62, -30, -16, -110, -6, 50, 52, -10, -12, -34, 80, 24, -28, 8, -26, -20, 0, 36, -18, -4, 4, 122, 4, 2, -18, 16, -60, -88, 2, 74, 50, 16, 2, 64, 6, 32, 0, -18, -58, 0, 0, -102, -66, 26, -28, 32, -4, 72, -10, -72, 60, 206, -2, 10, -36, 106, -42, 8, 0, -28, -6, 12, 0, 124, 20, -42, -6, 28, 6, 52, 82, -8, 50, -78, 4, 12, -24, 2, 56, 70, -68, 32, -52, 12, 18, 0, -80, 52, 18, 54, 8, 22, -16, -38, 18, -16, 80, 30, -4, 96, -2, -100, -6, -70, -28, -64, -80, -24, 0, 16, 2, 112, -28, 48, 8, 18, 4, -32, 12, 58, -54, -124, 28, 2, -10, 32, -2, -48, 6, -20, 0, 0, 6, 38, 8, 66, 8, 24, -68, -52, -28, 48, 14, 44, 2, -108, 0, -62, -4, -20, 64, -2, -8, -40, 0, 40, -32, -84, 8, 28, -18, -46, -38, -66, -18, 20, 56, 30, -38, 56, -28, -34, 16, 108, -92, 86, 44, 0, 10, -46, 6, -46, 18, 20, -24, -50, 42, -8, -16, 40, 42, -32, -28, 0, -32, 164, -4, 56, -52, -2, 0, -132, -26, 114, -2, 28, 54, 2, 0, 24, 34, -20, 0, -108, -8, -56, -54, -68, 6, 72, -24, 2, 16, 0, 16, -44, -12, 56, -2, 42, -12, -144, 24, -6, 76, 2, 2, 32, 4, 92, -10, -116, -6, 40, -8, -12, 0, -116, 4, 28, 30, 24, -20, 136, -2, 4, -16, 4, 18, 90, -16, 138, -28, 26, 34, 32, -70, 60, 46, 0, 4, -18, -18, -114, 16, -10, -42, 26, 28, 28, -2, -20, -152, -68, 0, 0, 88, -16, -28, -70, 32, 0, 0, 76, -62, -64, 30, 60, -8, -60, -2, -82, 48, -38, 2, 64, 72, 84, 8, 44, -84, 158, 16, -24, -48, 0, -2, -4, 56, -20, -4, 16, -72, -48, 2, 66, -12, 10, 46, -104, -44, -98, -2, 62, 4, 8, -90, 20, 0, -32, 6, -88, -12, -70, 6, 76, -30, 12, -28, 60, -42, 148, -62, 62, 28, 20, 16, 62, -24, 96, 28, 0, -162, -66, -26, -4, -4, -12, -4, 42, -50, -36, -4, -8, 24, 18, 0, 110, 24, 18, -26, 196, -2, -24, 0, 20, 46, 46, 0, -2, 18, 76, 26, -20, 50, 68, 0, -46, 24, 34, 36, -50, 50, 0, 8, -72, 36, 0, -10, 90, 28, 76, -64, 38, -36, 76, 14, 10, 12, -84, -16, 12, -26, 36, 2, 98, 116, -72, 20, 54, 0, 42, 12, 72, -30, 0, 12, 56, 6, 14, 12, -20, -46, -170, -62, -20, -30, -108, -16, 92, -110, 48, -6, 0, 50, 104, 52, 144, -10, -50, -12, 94, -34, -12, 80, -48, 24, 68, -28, 36, 8, -60, -26, 68, -20, 116, 0, 52, 36, -138, -18, 36, -4, 124, 4, 18, 122, -18, 4, 114, 2, -12, -18, -112, 16, -36, -60, -34, -88, 0, 2, -80, 74, -106, 50, 18, 16, -58, 2, 56, 64, -106, 6, 128, 32, 28, 0, 86, -18, 4, -58, 48, 0, 62, 0, 102, -102, -82, -66, 28, 26, 198, -28, 88, 32, -130, -4, 156, 72, 2, -10, 50, -72, 54, 60, 0, 206, -8, -2, 66, 10, -70, -36, -146, 106, 34, -42, -6, 8, -140, 0, 28, -28, -72, -6, -96, 12, 114, 0, -244, 124, -8, 20, 76, -42, -136, -6, -38, 28, 8, 6, 82, 52, -18, 82, -2, -8, 76, 50, 12, -78, 0, 4, -12, 12, -72, -24, -158, 2, 8, 56, 4, 70, -92, -68, 44, 32, -18, -52, -60, 12, -10, 18, 18, 0, 28, -80, -8, 52, -86, 18, 228, 54, -62, 8, -42, 22, 38, -16, 92, -38, -108, 18, -22, -16, 84, 80, 0, 30, 112, -4, -44, 96, 70, -2, 136, -100, -14, -6, 76, -70, -130, -28, -86, -64, 24, -80, -72, -24, -112, 0, -114, 16, -18, 2, 38, 112, 40, -28, 28, 48, -12, 8, -28, 18, -110, 4, -36, -32, 102, 12, -74, 58, 0, -54, -86, -124, -108, 28, -14, 2, 96, -10, 42, 32, -2, -2, 0, -48, 22, 6, -48, -20, -10, 0, 100, 0, 22, 6, -34, 38, 54, 8, 48, 66, 140, 8, 82, 24, -82, -68, 330, -52, -10, -28, -16, 48, 8, 14, 0, 44, 202, 2, 140, -108, 20, 0, -20, -62, -24, -4, -52, -20, 4, 64, -124, -2, 74, -8, -60, -40, 150, 0, 10, 40, -26, -32, -112, -84, -10, 8, 60, 28, -144, -18, -246, -46, -4, -38, -88, -66, 52, -18, 168, 20, 0, 56, 190, 30, 64, -38, 16, 56, 2, -28, 28, -34, -58, 16, 84, 108, 138, -92, 6, 86, -34, 44, -16, 0, 112, 10, -58, -46, -60, 6, -16, -46, -46, 18, 18, 20, 326, -24, 56, -50, 4, 42, 60, -8, 72, -16, 0, 40, 2, 42, -170, -32, -46, -28, -54, 0, 120, -32, 28, 164, -126, -4, 28, 56, 76, -52, -184, -2, 90, 0, 18, -132, 44, -26, 122, 114, -30, -2, 72, 28, 16, 54, -52, 2, 56, 0, -168, 24, -34, 34, -2, -20, 0, 0, -30, -108, 54, -8, -128, -56, -46, -54, -4, -68, -16, 6, 176, 72, -12, -24, -130, 2, 24, 16, -6, 0, -34, 16, 4, -44, -204, -12, 104, 56, -138, -2, -8, 42, 98, -12, -4, -144, -46, 24, -32, -6, 168, 76, 0, 2, -180, 2, -170, 32, -20, 4, 90, 92, -84, -10, 6, -116, 158, -6, 32, 40, 198, -8, 100, -12, -6, 0, -82, -116, -156, 4, 138, 28, 88, 30, 148, 24, -84, -20, 62, 136, -12, -2, -4, 4, -118, -16, 104, 4, 0, 18, 20, 90, -28, -16, 4, 138, -84, -28, 144, 26, 64, 34, 30, 32, -218, -70, 4, 60, -172, 46, 80, 0, 44, 4, -6, -18, -232, -18, -58, -114, 0, 16, -56, -10, 132, -42, 192, 26, -12, 28, 160, 28, 50, -2, 0, -20, 90, -152, -62, -68, 178, 0, -50, 0, -50, 88, -46, -16, -26, -28, 18, -70, -38, 32, 120, 0, 48, 0, -36, 76, -114, -62, -36, -64, -76, 30, -176, 60, -50, -8, -370, -60, -98, -2, -184, -82, 10, 48, -112, -38, 0, 2, -74, 64, 10, 72, 10, 84, -60, 8, -14, 44, 108, -84, 68, 158, -186, 16, -76, -24, 94, -48, -50, 0, -2, -2, 6, -4, -44, 56, -76, -20, -162, -4, 102, 16, -4, -72, -12, -48, 36, 2, -32, 66, 44, -12, 0, 10, -78, 46, 396, -104, -12, -44, 152, -98, 236, -2, -94, 62, -4, 4, 64, 8, -98, -90, 16, 20, 124, 0, 152, -32, -134, 6, -84, -88, -44, -12, -54, -70, -52, 6, 188, 76, 36, -30, -106, 12, 68, -28, -130, 60, 0, -42, -80, 148, -128, -62, 34, 62, 92, 28, 84, 20, 114, 16, 120, 62, 26, -24, 166, 96, 44, 28, 52, 0, 20, -162, 140, -66, -168, -26, 18, -4, 54, -4, -112, -12, -94, -4, 72, 42, 38, -50, -214, -36, -4, -4, 0, -8, 2, 24, -22, 18, -86, 0, 98, 110, 40, 24, 60, 18, 192, -26, 144, 196, -36, -2, -68, -24, 124, 0, -130, 20, -50, 46, 20, 46, -48, 0, -198, -2, -192, 18, 146, 76, 150, 26, -6, -20, -108, 50, -84, 68, 0, 0, -32, -46, 82, 24, -126, 34, 58, 36, 116, -50, -96, 50, -148, 0, -148, 8, 8, -72, -86, 36, 66, 0, 90, -10, -10, 90, -116, 28, -40, 76, 104, -64, 208, 38, 4, -36, 216, 76, 108, 14, 188, 10, -48, 12, 0, -84, -16, -16, -60, 12, -28, -26, 10, 36, -76, 2, 22, 98, 58, 116, -92, -72, 36, 20, 248, 54, 148, 0, 172, 42, -66, 12, 50, 72, 66, -30, 0, 0, 48, 12, -16, 56, -14, 6, -204, 14, -86, 12, -16, -20, 0, -46, 88, -170, -34, -62, 0, -20, 208, -30, 108, -108, 216, -16, 6, 92, 180, -110, -68, 48, 46, -6, 32, 0, -90, 50, 68, 104, -82, 52, -40, 144, -64, -10, 248, -50, -132, -12, -20, 94, 24, -34, -4, -12, 404, 80, 0, -48, 12, 24, 138, 68, 18, -28, -176, 36, -56, 8, 44, -60, -96, -26, 78, 68, -56, -20, -40, 116, 112, 0, 52, 52, 92, 36, 44, -138, -138, -18, -112, 36, -28, -4, -230, 124, 80, 4, -104, 18, 52, 122, -148, -18, 0, 4, 96, 114, 60, 2, -8, -12, -82, -18, 48, -112, -90, 16, 44, -36, 124, -60, -2, -34, -18, -88, 204, 0, 78, 2, 52, -80, -112, 74, 54, -106, 46, 50, 4, 18, 16, 16, 72, -58, 0, 2, -44, 56, 166, 64, 0, -106, 6, 6, -122, 128, 70, 32, -174, 28, -16, 0, -82, 86, 48, -18, 80, 4, 134, -58, 268, 48, 122, 0, -10, 62, 310, 0, 150, 102, -2, -102, 104, -82, 32, -66, -170, 28, -44, 26, 30, 198, -16, -28, -8, 88, 0, 32, 70, -130, -16, -4, -68, 156, -54, 72, -46, 2, -12, -10, 16, 50, 242, -72, -34, 54, -148, 60, -236, 0, -278, 206, -28, -8, -196, -2, 12, 66, -34, 10, 96, -70, 102, -36, 24, -146, 2, 106, -44, 34, -224, -42, 0, -6, -48, 8, -86, -140, 64, 0, 0, 28, 64, -28, -64, -72, 102, -6, -72, -96, 70, 12, -82, 114, -8, 0, 182, -244, 20, 124, -52, -8, -148, 20, 168, 76, 22, -42, 68, -136, -116, -6, -168, -38, 48, 28, -192, 8, 0, 6, 120, 82, -14, 52, 150, -18, -40, 82, -16, -2, 188, -8, 144, 76, -154, 50, 0, 12, 216, -78, 36, 0, 10, 4, 32, -12, -54, 12, 128, -72, -64, -24, 52, -158, 102, 2, 72, 8, -12, 56, -192, 4, 160, 70, 0, -92, -150, -68, -282, 44, -28, 32, -8, -18, 202, -52, -40, -60, -8, 12, 118, -10, -164, 18, -76, 18, -184, 0, -40, 28, 0, -80, 38, -8, -72, 52, -60, -86, -248, 18, -22, 228, 82, 54, 34, -62, -56, 8, -32, -42, 0, 22, -88, 38, 134, -16, 246, 92, 50, -38, 28, -108, -78, 18, 120, -22, -6, -16, -278, 84, 114, 80, -68, 0, 92, 30, 206, 112, -80, -4, -164, -44, -48, 96, 148, 70, -336, -2, -10, 136, -84, -100, -44, -14, -12, -6, 0, 76, 154, -70, 146, -130, -18, -28, -68, -86, -4, -64, -54, 24, -244, -80, 182, -72, -6, -24, -42, -112, -124, 0, 228, -114, -104, 16, -92, -18, 36, 2, 140, 38, -42, 112, 252, 40, 0, -28, 120, 28, -80, 48, -146, -12, 0, 8, 32, -28, 152, 18, -10, -110, -174, 4, 196, -36, -30, -32, -88, 102, 52, 12, 24, -74, -116, 58, -44, 0, -34, -54, 156, -86, -294, -124, 26, -108, -16, 28, -36, -14, 6, 2, 256, 96, -28, -10, 260, 42, -54, 32, 0, -2, -120, -2, -60, 0, -180, -48, 16, 22, -74, 6, -34, -48, 60, -20, -24, -10, -30, 0, 240, 100, 140, 0, -132, 22, 8, 6, 28, -34, -8, 38, 34, 54, -84, 8, 236, 48, -60, 66, -6, 140, -20, 8, -68, 82, 0, 24, -228, -82, 0, -68, -70, 330, -16, -52, -12, -10, -74, -28, 148, -16, -244, 48, -16, 8, 164, 14, 12, 0, -136, 44, 88, 202, 28, 2, -48, 140, 432, -108, -6, 20, 12, 0, -124, -20, 92, -62, -174, -24, -8, -4, 0, -52, -46, -20, -76, 4, 80, 64, 236, -124, 60, -2, -222, 74, -20, -8, -300, -60, -4, -40, -272, 150, -36, 0, -56, 10, -182, 40, 232, -26, -134, -32, 6, -112, -64, -84, 336, -10, 16, 8, -228, 60, -66, 28, -246, -144, 0, -18, 52, -246, -224, -46, -152, -4, -32, -38, 280, -88, 192, -66, -30, 52, 36, -18, 114, 168, -234, 20, 28, 0, -166, 56, -116, 190, 2, 30, -28, 64, 18, -38, 6, 16, -96, 56, 4, 2, -168, -28, -18, 28, -168, -34, 0, -58, -70, 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