Query:
/api/mf_newforms/?_offset=0
Table mf_newforms
Galois orbits of newforms
{'Nk2': 39204, 'analytic_conductor': 78.26137902105691, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [11, 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': [9801, 1, [9560, 244], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 12, 'field_disc': 126659358777047203125, 'field_disc_factorization': [[3, 4], [5, 6], [61, 1], [1640598858881, 1]], 'field_poly': [-1, -25, -110, -66, 272, 152, -248, -84, 100, 16, -17, -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, [-1, -25, -110, -66, 272, 152, -248, -84, 100, 16, -17, -1, 1]], [5, [95, -370, -731, 2484, 1370, -3565, -1616, 885, 403, -74, -35, 2, 1]], [7, [99, 1614, 4690, -722, -9179, -4549, 2659, 1823, -214, -225, -7, 9, 1]], [17, [4811895, -1362975, -3716191, 1096904, 872654, -219875, -89628, 15727, 4489, -469, -108, 5, 1]]], 'hecke_orbit': 63, 'hecke_orbit_code': 279223176930534985, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 278919, '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': '9801.2.a.ck', 'level': 9801, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 11], 'level_radical': 33, 'minimal_twist': '891.2.f.c', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2})q^{4}+\\beta _{11}q^{5}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9801.2.a', 'trace_display': [1, 0, -2, -9], 'trace_hash': 1073443131120204242, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '10.594', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '319.616', 'prec': 20}, {'__RealLiteral__': 0, 'data': '113.663', 'prec': 20}, {'__RealLiteral__': 0, 'data': '15403.636', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.008', 'prec': 4}, 'traces': [12, 1, 0, 11, -2, 0, -9, 0, 0, -8, 0, 0, -9, 21, 0, 21, -5, 0, -18, -11, 0, 0, -3, 0, 14, -8, 0, -17, -6, 0, 6, -9, 0, -21, 5, 0, -7, 10, 0, -21, 5, 0, -15, 0, 0, -37, -17, 0, 11, -2, 0, -18, 19, 0, 0, 24, 0, 14, -23, 0, -31, -24, 0, 44, 34, 0, -7, -66, 0, -15, -7, 0, -25, 61, 0, -51, 0, 0, -47, -49, 0, 12, 24, 0, -15, -25, 0, 0, -17, 0, 29, 48, 0, -45, -23, 0, 15, -34, 0, -53, 47, 0, -17, -6, 0, -9, -9, 0, -20, 0, 0, -52, 69, 0, -2, -55, 0, 46, 12, 0, 0, -45, 0, 13, 24, 0, -53, 109, 0, 5, -23, 0, -11, -1, 0, -60, -27, 0, -32, -42, 0, -23, 0, 0, -22, -86, 0, -14, -22, 0, -52, 3, 0, 0, 78, 0, 44, -50, 0, -72, 34, 0, 15, 113, 0, -65, -68, 0, -15, 12, 0, 3, -13, 0, -22, 0, 0, -58, -26, 0, -7, 71, 0, -57, -22, 0, 0, 3, 0, 75, 0, 0, -25, -60, 0, -18, 72, 0, -7, 172, 0, -72, 12, 0, -53, -46, 0, -151, 0, 0, -94, 161, 0, -26, 43, 0, -46, -12, 0, 0, -73, 0, 18, -6, 0, 47, 2, 0, 26, -105, 0, -101, 45, 0, -23, 31, 0, -68, -18, 0, -56, 0, 0, -127, -102, 0, -13, -124, 0, 3, 6, 0, 0, -24, 0, 87, -34, 0, -49, 18, 0, -49, 70, 0, -19, -171, 0, -2, 58, 0, -107, 9, 0, -96, 0, 0, -42, -32, 0, -12, -30, 0, -57, 27, 0, 0, 7, 0, 37, 124, 0, -35, -42, 0, -35, 51, 0, -77, 68, 0, -32, 61, 0, -74, 93, 0, -24, 0, 0, -6, 78, 0, 34, -45, 0, -82, -57, 0, 0, -134, 0, 128, 61, 0, -22, 69, 0, 1, -132, 0, 10, 24, 0, 2, -60, 0, 55, -124, 0, 2, 0, 0, -117, -176, 0, 107, -69, 0, -47, -52, 0, 0, 78, 0, 55, -103, 0, 22, 57, 0, 52, 55, 0, -96, -141, 0, -73, -32, 0, -65, -48, 0, -69, 0, 0, -100, 55, 0, -27, 124, 0, 102, 9, 0, 0, 131, 0, 136, -19, 0, -27, -168, 0, -63, 16, 0, 33, 230, 0, -28, -38, 0, 24, -9, 0, -25, 0, 0, -69, 91, 0, 10, 70, 0, -63, -10, 0, 0, -52, 0, 37, -35, 0, -100, -24, 0, -50, -158, 0, -83, 35, 0, -86, 79, 0, -6, -99, 0, -126, 0, 0, 97, -32, 0, -51, -127, 0, 27, 17, 0, 0, 45, 0, 62, -89, 0, 11, -96, 0, -29, 17, 0, 16, -258, 0, 9, -9, 0, 22, 181, 0, 107, 0, 0, -108, 39, 0, -2, 34, 0, -121, 78, 0, 0, -44, 0, 70, 78, 0, 61, -45, 0, 67, -29, 0, -70, -20, 0, -74, 37, 0, -21, 50, 0, -64, 0, 0, -133, 155, 0, -101, 198, 0, 22, 33, 0, 0, -59, 0, 167, 48, 0, -29, 156, 0, 45, -41, 0, 9, 2, 0, 53, -134, 0, -181, -78, 0, -4, 0, 0, -29, -103, 0, -110, -87, 0, -51, -121, 0, 0, 147, 0, 102, -39, 0, 9, 86, 0, -97, 133, 0, 8, -22, 0, -121, -75, 0, 27, -34, 0, -66, 0, 0, -69, -18, 0, 0, 150, 0, 141, -39, 0, 0, 2, 0, -2, 37, 0, -103, -142, 0, 65, 117, 0, 8, 102, 0, 42, 39, 0, -106, -63, 0, 104, 0, 0, -78, 78, 0, 183, 31, 0, -71, -2, 0, 0, -126, 0, 78, 25, 0, 96, 15, 0, 12, -128, 0, -29, 87, 0, -21, 11, 0, 122, 25, 0, 42, 0, 0, -236, -40, 0, -20, -63, 0, 50, -139, 0, 0, -91, 0, 155, 97, 0, -98, 106, 0, 104, -11, 0, 53, -77, 0, -81, 59, 0, -83, 257, 0, -66, 0, 0, 42, -69, 0, 123, -84, 0, -143, 104, 0, 0, -76, 0, 146, 99, 0, 13, -13, 0, -81, 40, 0, -111, 33, 0, -50, -29, 0, 193, 159, 0, -99, 0, 0, -32, 13, 0, 61, -28, 0, 171, 32, 0, 0, -37, 0, -29, 95, 0, -8, 72, 0, -86, -129, 0, 35, -7, 0, -4, 93, 0, 4, -6, 0, -67, 0, 0, -48, -115, 0, 87, 76, 0, -80, 86, 0, 0, 113, 0, -96, -69, 0, -25, 3, 0, -68, 208, 0, -30, -122, 0, 52, -83, 0, 183, -129, 0, -23, 0, 0, -12, -64, 0, -21, -5, 0, 37, 8, 0, 0, 176, 0, -66, 33, 0, -50, 10, 0, -13, -93, 0, 57, 166, 0, 10, 23, 0, -150, -3, 0, -27, 0, 0, -161, 60, 0, -233, 30, 0, -61, -39, 0, 0, -19, 0, 36, -168, 0, 40, -139, 0, 43, -88, 0, -95, 85, 0, -9, 109, 0, -190, -10, 0, -7, 0, 0, 20, 30, 0, -40, -120, 0, -9, 26, 0, 0, 63, 0, 17, -111, 0, -4, -126, 0, -74, -72, 0, 51, 20, 0, 186, -33, 0, -72, 92, 0, -60, 0, 0, -163, 33, 0, -61, -36, 0, 118, -47, 0, 0, -161, 0, 43, 26, 0, 28, -45, 0, 107, -7, 0, -92, -14, 0, 0, -60, 0, 31, -9, 0, -18, 0, 0, 168, 9, 0, 42, -151, 0, 22, 85, 0, 0, 84, 0, 16, -16, 0, -137, 140, 0, -87, 196, 0, 76, -51, 0, -153, -84, 0, -8, 59, 0, -79, 0, 0, -59, -33, 0, 243, -5, 0, -35, 337, 0, 0, 168, 0, -4, -98, 0, 103, 89, 0, 69, -33, 0, -321, 72, 0, -148, -102, 0, -216, -206, 0, -120, 0, 0, 163, -8, 0, 36, 101, 0, -113, 21, 0, 0, 182, 0, 84, -107, 0, 114, 90, 0, 19, 102, 0, 59, -171, 0, 167, 18, 0, 46, -300, 0, 78, 0, 0, 32, 17, 0, 58, 22, 0, -39, 14, 0, 0, 114, 0, -35, -144, 0, -239, -154, 0, -27, 45, 0, -19, 18, 0, 33, -79, 0, 195, 25, 0, -6, 0, 0, 209, 45, 0, -84, 82, 0, 91, -50, 0, 0, -260, 0, -64, 163, 0, -13, 8, 0, 64, -120, 0, 106, 8, 0, -19, 45, 0, -55, 51, 0, 194, 0, 0, -123, 132, 0, 178, -52, 0, -141, -19, 0, 0, -163, 0, -112, -36, 0, -155, 0, 0, -47, -189, 0, -17, -129, 0, -80, -146, 0, -208, 297, 0, -132, 0, 0, 25, -86, 0, -180, -156, 0, 22, -30, 0, 0, 51, 0, 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8, 0, 0, 106, 2, 0, 77, 151, 0, 57, -99, 0, 0, 66, 0, -103, -9, 0, 92, -54, 0, -185, 145, 0, -49, -72, 0, -67, -9, 0, 148, 27, 0, -83, 0, 0, 302, 177, 0, -56, 218, 0, -196, -112, 0, 0, -357, 0, -85, -19, 0, 282, 21, 0, -11, -53, 0, 71, 213, 0, 6, -42, 0, 143, 145, 0, 151, 0, 0, -32, -178, 0, 340, -169, 0, -165, -89, 0, 0, -180, 0, -99, 182, 0, 117, 182, 0, 89, 57, 0, -220, -318, 0, 130, -52, 0, -89, 34, 0, 45, 0, 0, -37, -230, 0, -321, -72, 0, 266, 117, 0, 0, 67, 0, -72, -162, 0, -199, -262, 0, 250, 379, 0, 233, -217, 0, 255, -36, 0, -91, 90, 0, 224, 0, 0, 128, 203, 0, -182, 87, 0, -160, 97, 0, 0, -5, 0, 23, 240, 0, -161, 222, 0, -112, -249, 0, 93, 198, 0, -65, -335, 0, -46, -279, 0, -110, 0, 0, 253, -46, 0, -164, 95, 0, 352, 0, 0, 0, 246, 0, -193, -251, 0, 46, 21, 0, 72, 228, 0, 86, -445, 0, 211, -42, 0, -64, -71, 0, 284, 0, 0, 175, -369, 0, 294, -107, 0, -56, 5, 0, 0, 75, 0, -105, 204, 0, 265, -300, 0, 181, 357, 0, 107, 160, 0, 89, 189, 0, 137, 75, 0, 60, 0, 0, 63, -27, 0, 185, -139, 0, 250, -63, 0, 0, -98, 0, 82, 162, 0, -172, -143, 0, -270, -151, 0, 101, 136, 0, 121, 192, 0, -244, -338, 0, 162, 0, 0, -32, 203, 0, 244, -261, 0, 56, -176, 0, 0, -65, 0, 19, 400, 0, 143, -82, 0, -114, 48, 0, -89, -258, 0, -179, -190, 0, 441, 87, 0, -48, 0, 0, 311, -303, 0, -62, -91, 0, 352, -85, 0, 0, 141, 0, -374, 222, 0, -19, 18, 0, -499, -39, 0, 124, 5, 0, 131, -169, 0, 45, -71, 0, 139, 0, 0, 76, 276, 0, -276, 292, 0, -40, -74, 0, 0, 229, 0, -271, 45, 0, 141, -84, 0, 35, -162, 0, 178, 94, 0, 115, -183, 0, 192, -214, 0, 377, 0, 0, 169, -39, 0, -42, 24, 0, 121, 108, 0, 0, 90, 0, 93, -135, 0, -24, 144, 0, -134, -187, 0, 31, -190, 0, -167, -216, 0, -58, -369, 0, -48, 0, 0, -94, -305, 0, -155, 359, 0, -158, 78, 0, 0, 46, 0, -234, -245, 0, 382, -294, 0, -77, -43, 0, 124, -71, 0, -239, 80, 0, 8, -63, 0, 101, 0, 0, 31, 9, 0, 2, -24, 0, -10, 144, 0, 0, -7, 0, -105, -73, 0, 55, 174, 0, 11, -192, 0, 21, 320, 0, 210, -21, 0, 64, 249, 0, 231, 0, 0, -51, 201, 0, -94, -200, 0, 116, 60, 0, 0, 12, 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