Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 21660, 'analytic_conductor': 43.238992694523326, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [19, -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': [5415, 1, [3611, 2167, 5056], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 8797896, 'field_disc_factorization': [[2, 3], [3, 4], [13577, 1]], 'field_poly': [-4, 13, 5, -8, -1, 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': [[2, [-4, 13, 5, -8, -1, 1]], [7, [24, 72, 36, -23, -2, 1]], [11, [-992, 256, 148, -32, -5, 1]], [13, [-128, -44, 70, 1, -8, 1]]], 'hecke_orbit': 26, 'hecke_orbit_code': 112589990717822247, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 211793, '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': False, 'label': '5415.2.a.z', 'level': 5415, '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, 5, 19], 'level_radical': 285, 'minimal_twist': '285.2.i.f', 'nf_label': '5.5.8797896.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}+q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5415.2.a', 'trace_display': [1, 5, 5, 2], 'trace_hash': 1119279133142998562, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '4.655', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '58.716', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '1099.767', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 4}, 'traces': [5, 1, 5, 7, 5, 1, 2, 6, 5, 1, 5, 7, 8, 4, 5, 7, 10, 1, 0, 7, 2, -2, -2, 6, 5, -2, 5, 10, 7, 1, 9, 23, 5, -25, 2, 7, -6, 0, 8, 6, -12, 4, -8, 16, 5, 20, 6, 7, 15, 1, 10, 4, -8, 1, 5, -36, 0, 38, 1, 7, 7, 15, 2, 14, 8, -2, 14, -1, -2, 4, 27, 6, 26, -18, 5, 0, 14, -2, -23, 7, 5, -36, -12, 10, 10, 2, 7, 0, 9, 1, -46, -52, 9, -45, 0, 23, -10, -21, 5, 7, 19, -25, 10, 48, 2, 5, -18, 7, 7, -2, -6, -20, -4, 0, -2, 14, 8, -10, 34, 6, 34, 56, -12, 75, 5, 4, 16, 33, -8, -2, 44, 16, 0, -20, 5, -60, 60, 20, 22, 10, 6, 36, -4, 7, 7, 28, 15, -78, -9, 1, -9, 0, 10, -92, 9, 4, -18, -58, -8, 23, -8, 1, -12, -30, 5, -3, -2, -36, -3, -25, 0, -4, -18, 38, 2, 82, 1, 66, 21, 7, 4, 22, 7, -24, -6, 15, -56, -51, 2, 0, 33, 14, -38, -2, 8, -3, 14, -2, 27, 6, 14, 14, -2, -1, -12, -82, -2, 34, 0, 4, 9, 53, 27, -3, -8, 6, 18, 5, 26, 16, -14, -18, 42, -10, 5, -41, 48, 0, -31, 20, 14, 54, 6, -2, 6, 56, -23, 62, 57, 7, 11, -43, 5, -10, 15, -36, 0, 72, -12, 1, -13, 10, -26, -10, 10, 29, -8, 2, -66, 4, 7, -32, -44, 0, -8, 0, 9, -98, 7, 1, 27, -151, -46, -15, 5, -52, 2, 41, 9, -36, -32, -45, 34, 60, 0, 88, -12, 23, 85, 38, -10, 88, 2, -21, 1, -30, 5, -66, 4, 7, 46, -33, 19, 0, 7, -25, -90, 28, 10, 15, -24, 48, -16, 66, 2, 20, 32, 5, -83, 14, -18, 92, 0, 7, 8, 42, 7, -54, 42, -2, -34, -33, -6, 5, 14, -20, -8, -39, -4, -1, 27, 0, 10, -48, -2, -78, -38, 14, 54, 4, 8, 110, 50, -10, 27, 48, 34, -114, -40, 6, 0, -19, 34, -26, 26, 56, -40, -28, -12, -18, -26, 75, -74, -118, 5, -138, 16, 4, 31, 0, 16, -138, -28, 33, 14, 44, -8, -14, -21, -2, -28, -48, 44, -71, -23, 16, 8, 6, 0, 7, 69, -20, 0, 98, 5, 128, -36, -60, 25, -36, 60, -82, 94, 20, -12, 56, 22, 0, 71, 10, -109, 123, 6, 84, 10, 36, 64, -9, -4, 2, 29, 7, -6, -60, 7, -109, 0, 28, -1, 0, 15, -112, -4, -78, 9, 30, -9, -76, -27, 1, -6, 43, -9, -24, -46, 0, -34, -113, 10, -52, 75, -92, -38, 2, 9, 15, -4, 4, 26, -45, -18, -48, 4, -58, 0, 104, -8, -6, 19, 23, 54, -11, -8, -19, -10, 1, -22, -18, -12, -21, 9, -30, 26, 0, 5, 105, 30, -3, -14, 7, -2, 40, 26, -36, 19, 56, -3, -40, -36, -25, 50, 34, 0, -82, 10, -4, 90, 78, -18, 48, -9, 38, -4, 100, 2, 47, -12, 82, 25, 5, 1, 0, -12, 66, -18, -144, 21, 92, -135, 7, -9, -63, 4, -107, 7, 22, -20, 69, 7, -2, 0, -24, 52, 82, -6, 35, 14, 15, -62, -20, -56, -40, 78, -51, -4, 56, 2, 66, 63, 0, 15, 4, 33, -36, -2, 14, 66, 50, -38, 14, -66, -2, 82, 66, 8, 55, 62, -3, 0, -10, 14, -78, 12, -2, 34, 18, 27, -52, 54, 6, -39, -22, 14, 15, 34, 14, 86, 0, -2, 56, -30, -1, -54, -66, -12, 36, -60, -82, -58, 75, -2, -6, 30, 34, 5, -158, 0, 42, -12, 4, -117, -90, 9, 25, 16, 53, 6, 80, 27, 33, -63, -3, 4, -52, -8, 0, 0, 6, -35, -2, 18, -42, -36, 5, 44, -84, 26, -66, 112, 16, -27, -26, -14, 30, 0, -18, 62, -37, 42, -20, 73, -10, -132, -46, 5, -57, -68, -41, -4, -60, 48, -6, -78, 0, 60, 134, -31, -34, 10, 20, -5, -66, 14, -1, 22, 54, 30, 21, 6, 10, 70, -2, 0, -88, 6, 22, 34, 56, 9, 36, -23, 84, -102, 62, -4, 30, 57, -2, -3, 7, -74, 0, 11, -55, 7, -43, -82, -66, 5, 28, 14, -10, -58, 22, 15, -104, -10, -36, 5, -78, 0, -154, 16, 72, -9, 146, -12, 26, 54, 1, -3, -99, -13, -52, -9, 10, 20, -154, -26, 0, 138, -10, -68, -78, 10, 115, -92, 29, 97, -92, -8, -130, 14, 2, 9, -12, -66, 72, 0, 4, 105, 208, 7, -219, -18, -32, -74, -71, -44, -58, 134, 0, -50, 214, -8, 120, 64, 0, 60, 23, 9, -102, -112, -98, -8, 90, 7, 78, 97, 1, -41, -64, 27, 96, -12, -151, 0, -106, -46, -30, 45, -15, 74, -90, 5, -28, 42, -52, -86, -3, 2, 104, 246, 41, -2, 0, 9, -110, -102, -36, 28, -86, -32, 3, -3, -45, 4, 179, 34, -25, 108, 60, 56, 14, 0, -66, -74, 88, -45, -4, -12, 64, -14, 23, -18, 6, 85, 6, 103, 38, 2, -36, -10, 0, 2, 88, -60, -107, 2, 82, -47, -21, 118, -106, 1, 127, 12, -30, -8, 66, 5, 144, 0, -66, 21, 144, 4, 30, 21, 7, -142, -48, 46, -132, 4, -33, -32, -72, 19, 22, -45, 0, -108, 28, 7, -191, -148, -25, -62, -24, -90, 192, 24, 28, -6, 56, 10, -8, -7, 15, 0, -165, -24, 115, -56, 48, -12, 130, -16, -51, -57, 66, -36, -94, 2, -88, -62, 20, 2, 0, 32, -150, 106, 5, 33, 186, -83, 14, 54, 14, -14, -114, -18, 19, -38, 92, 8, -66, 0, -2, 42, 7, 4, -146, 8, 104, 36, 42, 81, -3, 7, -30, -2, -54, 14, 106, 42, 0, -4, -2, -58, 183, -34, -48, 27, -33, -16, 5, -6, 6, 128, 5, 152, 34, 14, -131, 0, -20, 19, 14, -8, -244, -28, -39, -2, -42, -4, -48, 105, -1, -10, 130, 27, -65, -12, 0, -98, 26, 10, -82, 41, -48, 24, -174, -2, -42, -100, -78, -6, 34, -38, -18, -90, 14, 0, -116, 54, 216, 36, 4, 69, -175, 8, -195, 9, 110, -144, -127, 50, 53, 96, -10, -10, 0, 27, -36, -10, 48, -50, -3, 34, -188, -12, -114, -8, -22, -40, -90, 42, 6, 24, 21, 0, -123, 18, -19, -34, -104, 34, 5, -33, -26, 4, -88, 26, 0, -94, 56, -126, 16, -40, 0, -86, -28, -14, -250, -12, 124, 13, -18, 121, 72, -26, 70, 42, 75, 156, 26, -74, -10, 0, -118, 84, 2, 5, -45, -6, -138, -40, -41, 16, 62, -8, 4, 48, 180, 31, -42, 118, 0, -30, -117, 16, -36, -31, -138, -150, 36, -28, 20, 5, 33, 34, -42, 14, 176, -12, 44, 0, 54, -8, 102, 44, -14, 6, 62, -21, -44, -86, -2, 29, -17, -28, 127, 6, -48, 78, 0, 44, 56, 99, -71, -180, -150, -23, 117, -24, 16, -90, 62, 8, 42, 70, 6, 57, -52, 0, -12, -47, 7, 76, -60, 69, 26, 11, -20, -66, 126, 0, -43, -120, 98, 74, -26, 5, 0, 10, 128, -112, -10, -36, -24, -180, -60, 15, -54, 25, -108, -92, -36, -67, -44, 60, 123, 0, -82, -100, -137, 94, 72, 184, 20, -22, -66, -12, -36, -16, 56, 10, 1, 22, -152, -18, 0, -13, 234, 71, 108, -34, 10, -16, -51, -109, -22, -26, 123, -50, 73, 6, -10, -48, 84, 0, -204, 10, -34, 114, 36, -173, 29, 64, -78, 54, -9, -8, -16, -4, 60, -33, 2, -66, 0, 29, -39, -66, 7, 6, -208, -6, 4, -99, -60, -68, 30, 7, -42, 20, -109, 100, -32, 0, -102, 4, 28, -44, 144, -1, 56, -4, 0, -196, 57, 15, 10, -8, -112, 8, -69, -4, 0, 51, -78, 0, -128, 9, 54, -42, 30, 94, -98, -9, -16, -4, -76, 7, 18, -27, 146, 0, 1, 118, 84, -6, -283, 27, 43, -130, -8, -9, -151, -174, -24, -168, 252, -46, 3, -12, 0, 25, -15, -34, 26, -56, -113, 5, -56, 10, 164, 14, -52, 9, 119, 75, -24, 2, -92, 0, -247, -38, 41, -90, 2, 12, 12, 9, 21, -2, 15, 14, -36, -4, -34, 146, 4, -32, 0, 26, 90, -33, -45, 12, 34, -18, -148, 34, -48, 82, 15, 4, 60, 123, -58, -22, 222, 0, 12, 104, 104, 172, 88, -8, -66, 12, -6, -12, -134, 19, -12, 12, 23, 188, 38, 54, 0, 85, -11, -82, -24, -8, 38, -7, -19, 74, -14, -10, 130, -108, 1, -1, 88, -22, 112, 0, -18, 2, -14, -12, 76, -142, -21, -95, 16, 9, -92, 1, -30, 18, -215, 26, -30, 72, 0, -82, -52, 5, -19, -72, 105, 105, -66, 30, 8, -24, -3, 4, -192, -14, -126, -81, 7, 0, -123, -2, -93, 46, 40, -6, 92, 26, -33, -29, -36, -156, 88, 19, -52, 48, 56, -21, 0, -3, -114, -92, -40, 7, 182, -36, -174, -68, -25, 0, 1, 50, 8, -90, 34, -88, -55, 0, 28, 184, -82, -112, -204, 10, 166, -248, -4, -2, 15, 90, -14, 26, 78, -24, 36, -18, 0, 102, 48, -126, 12, -9, 4, -16, 38, 64, -171, -4, 66, -6, 100, 64, 20, 2, -156, 0, 47, -5, 20, -12, -74, 0, 82, 32, 98, 25, 112, -108, 5, -54, 114, 1, -13, -83, 0, -4, 51, -12, 14, 123, 66, -130, -30, -18, -44, 6, -144, -16, 92, 21, 144, 106, 92, 0, 194, -135, 122, 97, 7, 43, -79, -9, -108, 8, -63, -86, -264, 4, 42, -162, -107, 6, 0, 7, -76, 14, 22, 81, -54, -20, 78, 114, 69, 42, -140, 7, -190, -20, -2, 40, 116, 0, -105, -34, -24, 118, 71, 52, -33, -21, 82, 30, -78, -6, 135, -76, 35, 17, 5, 14, 0, -42, 15, 14, -8, -62, -24, -68, -20, -109, 23, -56, 4, -8, -40, -70, 108, 78, -39, 0, -51, 32, -28, -4, 211, 30, 56, 41, -1, 2, -84, 236, 66, 27, -74, 63, -34, -29, 0, 17, 27, 15, -7, 10, 4, -58, -57, 33, -48, 1, -36, -2, 94, -2, 92, -48, 14, 0, -78, 66, 48, 0, 50, -38, -96, -38, -220, 72, 14, -20, -170, -66, -85, 54, -2, 74, 0, 82, 4, 128, 66, 70, 126, 8, 37, -94, 55, -57, 110, 62, 26, 12, -3, 50, 74, 0, 30, 53, -10, -212, 109, 14, -3, 27, -78, -134, 80, 12, 48, 66, -2, 14, 300, 34, 0, 22, 18, -158, -114, 27, 26, 114, -52, -40, 126, 54, 222, 88, 6, 10, -275, -39, -24, 0, -22, 40, -191, 14, -19, 89, 15, 12, 206, 34, 12, -202, 14, -72, -26, 86, -156, -52, 0, 26, 126, -2, 34, 111, 56, 55, -174, -30, -188, -40, -1, -266, -211, -54, -28, 46, -66, 0, 84, -12, 120, 30, 36, -153, -18, -60, -166, -10, -82, -26, 274, -58, -116, -201, 75, -64, 0, -2, 12, -74, -6, -18, -107, 30, -118, -42, 34, 90, 6, 5, 94, 38, -158, -55, -138, 0, 72, -2, 42, 16, 72, -12, -26, 81, 4, -27, -4, -117, 8, 31, -90, 132, -74, 9, 0, 33, 25, -30, -22, 16, -1, -56, 53, 36, -138, 6, 222, -6, 80, -28, -154, 27, 102, 0, 33, 226, 158, -63, -114, 14, -3, 78, 78, 4, 44, 107, -52, 184, 4, -8, -37, 72, 0, 152, -14, 0, -24, -2, 6, -21, 140, -35, 88, -35, -2, -164, 52, 18, 9, -28, -42, 0, 72, -36, -48, -96, 5, 126, 210, 44, -7, 160, -84, -21, -71, 26, -248, 138, -66, -23, 0, 112, 52, 90, 16, 160, -125, -27, 156, 8, -26, 162, 12, -14, 6, 58, 30, -2, 76, 0, 179, -156, -18, -5, 7, 62, -80, -100, -37, 69, 34, 42, 168, 12, -20, -91, 127, 73, 0, 0, -10, -26, 194, -132, 98, 30, -46, 160, 24, 5, 289, 202, -57, -43, 128, -68, -70, 0, -41, -36, -78, -4, 186, -84, -60, 90, -119, 48, 46, 25, -6, 54, -261, -78, -36, 62, 0, -156, 134, 60, -144, 86, 134, 21, -82, -31, 148, 152, -34, 94, -60, 10, -126, 153, 20, 0, 66, -5, 190, -12, -66, -210, 177, 14, 56, -67, -1, -102, -72, 22, -192, 42, 54, 13, 0, 30, -176, 4, 21, 71, 328, 6, 186, 87, 10, -45, -174, 70, -174, -109, -2, -6, -225, 0, 123, -25, -88, 114, -54, 6, 47, 220, 22, 6, 84, 34, -6, -50, 56, 10, 304, 9, 0, 152, 36, -14, -96, -23, 4, 64, 84, -36, -13, -102, -9, -101, 62, 36, -238, -4, -312, 0, 30, -60, 2, 57, 72, -96, -2, 29, 0, -3, -108, 62, 7, 77, 288, -74, -189, -6, 0, -64, -318, 11, -60, 82, -55, 6, 52, 7, 39, -132, -43, 62, -109, -82, 96, -204, -66, 0, 134, 5, -4, 285, 28, -148, -81, 14, -185, -1, -10, 70, 18, -58, 0, 93, 22, -4, 0, 15, -148, -56, -104, 107, -112, -10, 122, -84, -36, -4, 54, 5, 182, -58, -78, 19, -40, 0, 23, 9, -154, -140, 46, 16, 30, 4, 72, -182, -84, -9, -34, 58, 146, -115, -76, -12, 0, -2, 26, -27, 96, 54, -198, 84, 1, 96, 21, -3, 192, -6, -99, -30, -107, -13, 43, 0, -52, 150, -42, -9, -16, 250, 10, 98, -24, 20, 258, 0, -154, -46, -60, -26, 302, -10, 0, -3, -66, 138, 63, -34, -10, -140, 208, -68, -113, -265, -78, -82, -114, 10, 72, 0, 115, 0, -52, -92, -26, -18, 29, 75, 104, 97, 162, 155, -92, 40, 66, -8, 168, -38, -130, -262, 0, 14, 2, -33, 2, -130, -84, 9, 148, 60, -12, 270, 15, -66, 218, 18, 72, -4, 68, 0, 302, -33, 4, 207, -41, 105, -24, 26, 208, -142, 265, 7, -45, -183, -219, 58, -114, -18, 0, 12, -32, -98, -48, -74, 36, 56, -71, 4, 210, -44, -66, 20, -58, 75, -51, 134, 135, 0, 0, 42, -132, -50, 104, 17, 214, 60, 66, -8, 230, 42, 120, 261, -6, 64, -108, -20, 0, 19, 186, 60, 146, 138, 23, 61, 47, 9, -222, 54, -102, 78, 66, -112, -11, -13, -98, 0, -180, -8, 81, -116, 90, 18, -19, 7, -36, -2, 78, -10, 202, 97, 178, -38, 1, -212, 0, -41, 65, -22, -64, 202, -104, 27, -18, -17, 96, -72, -246, -12, 147, -204, -151, 63, -21, 0, -42, -126, -106, 9, -114, -46, -118, 174, -30, -24, 124, 45, 104, 26, -15, -196, -81, 74, 0, -28, -90, 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