Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 27900, 'analytic_conductor': 55.69565540984307, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [31, 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': [6975, 1, [776, 5302, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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, [-2, -4, 0, 1]], [7, [-4, 0, 4, 1]], [11, [37, 3, -7, 1]], [13, [-62, -34, 0, 1]], [17, [-59, -7, 7, 1]], [29, [1, 5, -5, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599935295, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 235532, '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': '6975.2.a.bc', 'level': 6975, '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, 31], 'level_radical': 465, 'minimal_twist': '2325.2.a.t', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{2}+(1-\\beta _{1}-\\beta _{2})q^{4}+(-1-\\beta _{1}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6975.2.a', 'trace_display': [0, 0, 0, -4], 'trace_hash': 2027668123683192120, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '2.843', 'prec': 14}, 0, {'__RealLiteral__': 0, 'data': '20.504', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '212.587', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 4}, 'traces': [3, 0, 0, 2, 0, 0, -4, 6, 0, 0, 7, 0, 0, 6, 0, -4, -7, 0, -11, 0, 0, 4, -5, 0, 0, -10, 0, 8, 5, 0, -3, -8, 0, -18, 0, 0, -26, -4, 0, 0, 8, 0, -8, 20, 0, -16, 10, 0, -5, 0, 0, -26, -11, 0, 0, -8, 0, -2, 14, 0, 12, 0, 0, -12, 0, 0, -3, -12, 0, 0, 26, 0, -12, 2, 0, 2, 6, 0, 10, 0, 0, -20, -5, 0, 0, -36, 0, 14, 9, 0, -26, -40, 0, -8, 0, 0, 5, -8, 0, 0, 24, 0, 11, 0, 0, 6, 8, 0, -6, 0, 0, -4, 2, 0, 0, 8, 0, 28, 2, 0, 10, 32, 0, -2, 0, 0, -2, -16, 0, 0, 2, 0, 24, 46, 0, -14, -31, 0, -12, 0, 0, 20, -42, 0, 0, -16, 0, -22, 14, 0, -32, -22, 0, 14, 0, 0, 29, -14, 0, 0, -30, 0, -7, -22, 0, 0, 4, 0, 29, 0, 0, -20, -18, 0, 0, -32, 0, 36, 2, 0, 12, 0, 0, -10, 0, 0, -13, -24, 0, 0, 22, 0, -21, 54, 0, -34, -30, 0, -24, 0, 0, 0, -2, 0, 0, -24, 0, 32, -3, 0, -7, 28, 0, 40, 0, 0, 4, -46, 0, 0, 4, 0, -18, 8, 0, 40, -6, 0, -22, 0, 0, 10, 40, 0, 0, 18, 0, -14, -3, 0, 24, 14, 0, 32, 0, 0, -32, -6, 0, 0, 3, 0, -69, 8, 0, 8, -28, 0, 30, 0, 0, -48, 12, 0, 0, -22, 0, 14, -6, 0, -54, -12, 0, -14, 0, 0, -18, 42, 0, 0, -2, 0, -11, 20, 0, -24, -38, 0, 12, 0, 0, -20, -30, 0, 0, -52, 0, -36, 94, 0, -4, -52, 0, -12, 0, 0, 0, -4, 0, 0, -26, 0, -22, -12, 0, -10, -68, 0, 23, 0, 0, -10, 47, 0, 0, -48, 0, 16, -44, 0, -34, -28, 0, 60, 0, 0, 8, 14, 0, 0, -7, 0, 4, -16, 0, 28, 38, 0, -1, 0, 0, -4, 1, 0, 0, -4, 0, -74, 18, 0, 10, -6, 0, 32, 0, 0, 24, 48, 0, 0, 50, 0, 13, -92, 0, 20, -16, 0, -40, 0, 0, -60, -25, 0, 0, -26, 0, 50, -18, 0, 23, -10, 0, 64, 0, 0, 31, 38, 0, 0, 1, 0, 0, 16, 0, 10, -72, 0, -74, 0, 0, 14, -10, 0, 0, -12, 0, -44, 12, 0, -82, -20, 0, -22, 0, 0, 8, -14, 0, 0, -42, 0, -34, -6, 0, -20, -23, 0, 48, 0, 0, 88, -24, 0, 0, -12, 0, -8, 1, 0, -16, 56, 0, -60, 0, 0, -34, 18, 0, 0, -9, 0, 12, -20, 0, 8, -50, 0, 20, 0, 0, 28, -12, 0, 0, -40, 0, 22, 22, 0, 16, -22, 0, 48, 0, 0, -60, 24, 0, 0, -3, 0, -1, 62, 0, 4, -32, 0, 4, 0, 0, 42, -22, 0, 0, -50, 0, -20, 55, 0, 4, -8, 0, 48, 0, 0, -30, -52, 0, 0, -34, 0, 18, -10, 0, 72, 7, 0, 70, 0, 0, -56, 62, 0, 0, -6, 0, 24, -65, 0, -25, 6, 0, 76, 0, 0, 25, 12, 0, 0, -5, 0, -30, -44, 0, 42, -7, 0, 8, 0, 0, -24, 74, 0, 0, 20, 0, 52, -51, 0, 28, -46, 0, 16, 0, 0, 2, 82, 0, 0, -18, 0, 39, -24, 0, 12, -25, 0, 11, 0, 0, 48, 8, 0, 0, -30, 0, 44, 8, 0, 26, -16, 0, -48, 0, 0, 59, 64, 0, 0, 84, 0, -56, 46, 0, 12, 12, 0, -46, 0, 0, 0, -22, 0, 0, 6, 0, -2, 50, 0, 62, 20, 0, 0, 0, 0, 84, -8, 0, 0, 13, 0, -20, 28, 0, 42, -11, 0, 22, 0, 0, -90, -4, 0, 0, 4, 0, 20, -24, 0, -47, -54, 0, -10, 0, 0, -29, 60, 0, 0, 44, 0, -50, -22, 0, -38, 48, 0, 40, 0, 0, -4, -90, 0, 0, -52, 0, -32, -100, 0, -35, 46, 0, 26, 0, 0, 14, 4, 0, 0, 38, 0, 82, -44, 0, 26, -32, 0, 50, 0, 0, 18, 5, 0, 0, -48, 0, 28, -104, 0, -8, 0, 0, 22, 0, 0, -4, -52, 0, 0, 112, 0, -91, 92, 0, 4, -21, 0, -28, 0, 0, -22, -57, 0, 0, 58, 0, -90, -30, 0, -5, 32, 0, -4, 0, 0, 52, -58, 0, 0, -60, 0, -8, -18, 0, -82, 2, 0, -93, 0, 0, 22, -27, 0, 0, 10, 0, -32, -44, 0, 46, 156, 0, 52, 0, 0, -26, 28, 0, 0, 52, 0, -40, -6, 0, -6, -92, 0, -30, 0, 0, -20, -36, 0, 0, 10, 0, 48, -63, 0, -32, 0, 0, -20, 0, 0, 72, -64, 0, 0, 11, 0, -40, 22, 0, 28, -37, 0, -10, 0, 0, 40, 5, 0, 0, -72, 0, 16, 20, 0, -72, -10, 0, -106, 0, 0, 28, -44, 0, 0, 64, 0, 74, 24, 0, 16, 102, 0, -32, 0, 0, -68, 12, 0, 0, 104, 0, -8, 4, 0, -2, -12, 0, 96, 0, 0, 66, -98, 0, 0, -42, 0, -28, 118, 0, 48, -10, 0, -16, 0, 0, 16, -82, 0, 0, -40, 0, 44, -5, 0, 43, -62, 0, 4, 0, 0, -39, -12, 0, 0, -35, 0, -61, -10, 0, 42, -14, 0, -97, 0, 0, 28, 12, 0, 0, 68, 0, 4, -11, 0, -27, 8, 0, 88, 0, 0, -33, -6, 0, 0, -19, 0, 76, 20, 0, -176, 1, 0, 20, 0, 0, 4, -34, 0, 0, -4, 0, -24, 74, 0, 3, 74, 0, 18, 0, 0, -28, 20, 0, 0, 24, 0, 66, 2, 0, 0, 104, 0, -35, 0, 0, -152, 1, 0, 0, -42, 0, 130, 36, 0, 4, 8, 0, 52, 0, 0, 49, 110, 0, 0, 38, 0, -108, 52, 0, -100, 99, 0, 46, 0, 0, -102, 42, 0, 0, -4, 0, 14, 8, 0, 92, -24, 0, 32, 0, 0, 36, 42, 0, 0, 50, 0, -31, 4, 0, -56, -100, 0, -44, 0, 0, 108, -58, 0, 0, -124, 0, 4, -26, 0, -28, 136, 0, 18, 0, 0, 16, 102, 0, 0, -8, 0, -1, 48, 0, 26, 51, 0, -66, 0, 0, 64, -50, 0, 0, 88, 0, -16, 74, 0, 98, 98, 0, -50, 0, 0, -9, 100, 0, 0, 51, 0, 7, -94, 0, -62, -97, 0, -60, 0, 0, -14, 28, 0, 0, 20, 0, -8, 21, 0, 56, -24, 0, -148, 0, 0, 9, 156, 0, 0, -90, 0, 68, -44, 0, 20, 123, 0, 40, 0, 0, -54, 63, 0, 0, 0, 0, 40, -115, 0, -76, 32, 0, -84, 0, 0, 26, 36, 0, 0, -34, 0, 50, 34, 0, 88, 66, 0, -60, 0, 0, -10, -128, 0, 0, -20, 0, 8, 52, 0, 106, 26, 0, -140, 0, 0, -60, 4, 0, 0, -78, 0, -96, 52, 0, -36, 56, 0, 6, 0, 0, 28, -97, 0, 0, 34, 0, 12, 0, 0, 6, 50, 0, -64, 0, 0, -118, -64, 0, 0, 82, 0, -14, 14, 0, 60, 28, 0, -117, 0, 0, -32, -6, 0, 0, -20, 0, 16, 10, 0, -26, 36, 0, -36, 0, 0, -62, -64, 0, 0, 64, 0, 74, -42, 0, 18, 8, 0, -15, 0, 0, 70, -52, 0, 0, 58, 0, 168, -78, 0, -86, 74, 0, -8, 0, 0, -2, -70, 0, 0, -8, 0, -49, 18, 0, 34, 18, 0, 57, 0, 0, 38, -59, 0, 0, 158, 0, -60, -14, 0, 61, 32, 0, 24, 0, 0, -120, 150, 0, 0, -22, 0, 75, -14, 0, -72, 56, 0, -64, 0, 0, 4, 0, 0, 0, 72, 0, 20, 67, 0, -47, 26, 0, -94, 0, 0, -109, 56, 0, 0, 15, 0, 8, -8, 0, 8, -62, 0, -44, 0, 0, 152, 2, 0, 0, 10, 0, 106, -130, 0, 64, 58, 0, -74, 0, 0, -30, 10, 0, 0, 36, 0, -6, -20, 0, 84, 37, 0, 121, 0, 0, -24, 96, 0, 0, 136, 0, 48, 88, 0, 112, 88, 0, -36, 0, 0, 52, 88, 0, 0, 98, 0, 42, 54, 0, -10, -50, 0, -59, 0, 0, 36, -84, 0, 0, 42, 0, -144, -14, 0, -13, -60, 0, 48, 0, 0, 2, 2, 0, 0, -31, 0, 113, 80, 0, 16, 44, 0, 110, 0, 0, 4, 128, 0, 0, 144, 0, 44, -65, 0, 30, 22, 0, -92, 0, 0, 82, 24, 0, 0, -12, 0, 72, 82, 0, -64, -10, 0, -108, 0, 0, 128, -66, 0, 0, -24, 0, 48, -124, 0, 21, 84, 0, 210, 0, 0, -92, -54, 0, 0, 68, 0, -28, -88, 0, -24, 71, 0, -79, 0, 0, 46, 4, 0, 0, -26, 0, 16, -89, 0, -42, -26, 0, -56, 0, 0, 7, -26, 0, 0, -19, 0, -139, 10, 0, -64, -62, 0, 5, 0, 0, 142, 50, 0, 0, -12, 0, 44, 30, 0, -6, -72, 0, -150, 0, 0, 11, 98, 0, 0, -13, 0, -16, -42, 0, -104, 110, 0, 118, 0, 0, 8, 101, 0, 0, -36, 0, 64, -2, 0, 52, 132, 0, 194, 0, 0, 6, -16, 0, 0, 133, 0, -110, -20, 0, -60, -31, 0, -136, 0, 0, 4, -36, 0, 0, -144, 0, 10, 0, 0, 48, -48, 0, -18, 0, 0, 15, 40, 0, 0, 100, 0, 86, -76, 0, -84, 75, 0, 114, 0, 0, 26, -144, 0, 0, -32, 0, -2, 10, 0, 55, 78, 0, -4, 0, 0, -4, -174, 0, 0, -72, 0, -34, 76, 0, -48, -118, 0, -10, 0, 0, 88, 11, 0, 0, 80, 0, -76, -127, 0, 64, 76, 0, 30, 0, 0, -106, -86, 0, 0, -76, 0, 60, 168, 0, 130, -61, 0, -54, 0, 0, -6, 2, 0, 0, 20, 0, -40, 52, 0, -27, -14, 0, -56, 0, 0, -30, -14, 0, 0, -125, 0, -57, 20, 0, 76, -31, 0, -72, 0, 0, 120, -14, 0, 0, 6, 0, 48, -126, 0, 4, 108, 0, 48, 0, 0, -56, 56, 0, 0, -26, 0, -53, -116, 0, 20, 37, 0, 194, 0, 0, 80, 98, 0, 0, 8, 0, -40, -64, 0, 35, -158, 0, -52, 0, 0, 96, 180, 0, 0, 53, 0, -18, -24, 0, -60, 46, 0, -12, 0, 0, 36, 44, 0, 0, -102, 0, 8, 12, 0, 36, -54, 0, -40, 0, 0, -58, -4, 0, 0, -112, 0, 195, -36, 0, 56, 116, 0, 88, 0, 0, -16, -139, 0, 0, -28, 0, 2, 98, 0, 64, -46, 0, -14, 0, 0, -108, -32, 0, 0, 175, 0, 66, 124, 0, -12, 36, 0, -158, 0, 0, -58, -74, 0, 0, 18, 0, -98, -14, 0, 83, -44, 0, 4, 0, 0, 64, 86, 0, 0, 112, 0, -33, 52, 0, -164, 104, 0, 79, 0, 0, 96, 136, 0, 0, -12, 0, -30, -61, 0, -50, 76, 0, 80, 0, 0, -57, 8, 0, 0, 38, 0, 16, 8, 0, 52, -55, 0, 143, 0, 0, -56, 100, 0, 0, 70, 0, -132, 97, 0, -12, -140, 0, 164, 0, 0, 58, 92, 0, 0, 52, 0, 46, 52, 0, -168, 84, 0, 107, 0, 0, -6, 31, 0, 0, -28, 0, -62, -88, 0, -70, 0, 0, 208, 0, 0, 96, 48, 0, 0, 56, 0, -50, -166, 0, -68, 82, 0, 28, 0, 0, 152, -35, 0, 0, -24, 0, -94, -81, 0, -64, -112, 0, -88, 0, 0, 21, 202, 0, 0, 66, 0, 28, -116, 0, 6, -40, 0, -20, 0, 0, -26, 52, 0, 0, -64, 0, 280, -17, 0, -32, -58, 0, 12, 0, 0, -86, 104, 0, 0, 62, 0, -143, 50, 0, 42, -85, 0, -30, 0, 0, -84, -4, 0, 0, -138, 0, 6, 56, 0, 48, -28, 0, -62, 0, 0, 94, 32, 0, 0, -40, 0, 64, -138, 0, 152, 151, 0, -9, 0, 0, 56, -148, 0, 0, 4, 0, -96, -19, 0, 52, -16, 0, -40, 0, 0, 61, 160, 0, 0, 86, 0, 11, 6, 0, -56, -24, 0, 26, 0, 0, 56, -53, 0, 0, 120, 0, 20, 6, 0, 82, 60, 0, -176, 0, 0, 3, 40, 0, 0, -40, 0, -16, 46, 0, 28, 154, 0, -4, 0, 0, -44, -154, 0, 0, -76, 0, -20, 29, 0, 46, 18, 0, 24, 0, 0, 0, 12, 0, 0, -44, 0, 93, -64, 0, 80, -16, 0, 208, 0, 0, 92, 49, 0, 0, 44, 0, 68, -38, 0, -84, -44, 0, 230, 0, 0, 30, 68, 0, 0, -34, 0, -45, -144, 0, 28, 22, 0, 16, 0, 0, -12, -210, 0, 0, -80, 0, -8, -38, 0, 58, -28, 0, 26, 0, 0, -38, -108, 0, 0, -112, 0, -106, -142, 0, 24, 10, 0, 36, 0, 0, 58, -102, 0, 0, -14, 0, -134, -74, 0, 114, -52, 0, -30, 0, 0, 186, 58, 0, 0, -26, 0, -37, -20, 0, 44, 130, 0, -1, 0, 0, 32, -83, 0, 0, -36, 0, -230, 66, 0, -57, 32, 0, 0, 0, 0, 128, -128, 0, 0, -141, 0, -12, -102, 0, 184, -14, 0, -23, 0, 0, -64, 41, 0, 0, -78, 0, -4, -146, 0, 51, 126, 0, 52, 0, 0, -96, 194, 0, 0, -62, 0, 12, -22, 0, -112, -64, 0, 44, 0, 0, -144, 58, 0, 0, -4, 0, -76, 64, 0, 9, -14, 0, -56, 0, 0, 64, 44, 0, 0, 14, 0, 150, -2, 0, -76, -106, 0, 18, 0, 0, -116, 90, 0, 0, 98, 0, -4, -18, 0, 78, 24, 0, -184, 0, 0, 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0, -58, 0, 30, 188, 0, -70, -56, 0, -132, 0, 0, 10, 164, 0, 0, 66, 0, -188, -30, 0, -14, 40, 0, 148, 0, 0, -42, 40, 0, 0, 108, 0, 100, -52, 0, 68, 8, 0, 168, 0, 0, 36, -167, 0, 0, -24, 0, 220, 61, 0, -236, -226, 0, -32, 0, 0, 59, 20, 0, 0, -2, 0, 212, -28, 0, -56, 46, 0, -96, 0, 0, 104, 36, 0, 0, 10, 0, 28, 27, 0, 44, 168, 0, 8, 0, 0, 6, -86, 0, 0, 86, 0, -84, 220, 0, -6, -2, 0, 40, 0, 0, -54, -4, 0, 0, 48, 0, -112, 140, 0, 16, -30, 0, 256, 0, 0, 108, 88, 0, 0, -36, 0, 26, -14, 0, -90, -142, 0, 146, 0, 0, -2, 106, 0, 0, -46, 0, 100, -86, 0, -8, -56, 0, 52, 0, 0, -152, -170, 0, 0, -160, 0, -125, 26, 0, 108, 49, 0, -52, 0, 0, -4, 8, 0, 0, 140, 0, 140, -74, 0], 'weight': 2, 'weight_parity': 1}