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': 59, 'hecke_orbit_code': 261208778421053001, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'id': 278915, '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.cg', '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': 1251783335476919351, 'trace_moments': [0, {'__RealLiteral__': 0, 'data': '10.594', 'prec': 17}, 0, {'__RealLiteral__': 0, 'data': '319.616', 'prec': 20}, 0, {'__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, -143, -187, 0, 74, -260, 0, 50, 35, 0, 167, 200, 0, 112, 25, 0, 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0, 111, -23, 0, 3, 8, 0, 0, 86, 0, -95, 225, 0, -13, -2, 0, 39, -195, 0, 126, -149, 0, 50, -164, 0, -53, 339, 0, -159, 0, 0, -154, 253, 0, -61, 207, 0, -29, 92, 0, 0, -103, 0, 7, 116, 0, 231, 96, 0, -8, -83, 0, -152, -141, 0, 100, -96, 0, -149, -165, 0, 117, 0, 0, 245, -132, 0, -126, -307, 0, 173, 4, 0, 0, 323, 0, -205, -234, 0, -112, 220, 0, -88, 102, 0, 32, -211, 0, 30, -107, 0, -95, -166, 0, 149, 0, 0, 88, -178, 0, -281, 106, 0, -12, -118, 0, 0, 87, 0, -34, -68, 0, -10, -73, 0, -18, 345, 0, -22, 84, 0, -75, 19, 0, 165, -100, 0, 95, 0, 0, 162, 87, 0, 168, -54, 0, -185, -51, 0, 0, -375, 0, -10, -106, 0, 13, -87, 0, -1, 49, 0, 78, 1, 0, 94, -37, 0, 212, -39, 0, 140, 0, 0, -93, -77, 0, 136, -69, 0, 80, -148, 0, 0, -44, 0, -68, -339, 0, 107, -96, 0, 219, -3, 0, 163, -245, 0, 118, 171, 0, -47, 198, 0, -124, 0, 0, 257, -94, 0, -96, 81, 0, 181, -80, 0, 0, 80, 0, -78, 225, 0, -63, -118, 0, -52, 119, 0, 210, 120, 0, 227, -56, 0, 76, -213, 0, 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, 0, -143, 80, 0, 108, -176, 0, -40, 72, 0, 273, 156, 0, 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0, 43, 225, 0, 77, -444, 0, -9, 114, 0, -25, -69, 0, 218, 4, 0, -285, 0, 0, 539, 138, 0, -18, 210, 0, -488, -77, 0, 0, 114, 0, 46, 145, 0, -16, 75, 0, -31, 106, 0, 42, 79, 0, 11, 102, 0, 264, 114, 0, 49, 0, 0, -144, -186, 0, 314, 3, 0, -194, -47, 0, 0, 144, 0, 32, 1, 0, 278, -228, 0, 138, 69, 0, 99, 74, 0, 186, -216, 0, -243, 111, 0, 237, 0, 0, -139, 108, 0, -83, 288, 0, -49, 197, 0, 0, -299, 0, -574, 221, 0, -74, -111, 0, -22, -162, 0, 207, -126, 0, -199, -28, 0, -431, 156, 0, 92, 0, 0, -37, 176, 0, -35, 112, 0, -315, -439, 0, 0, -120, 0, 21, 46, 0, 77, -86, 0, -371, -84, 0, -326, -330, 0, -208, 361, 0, -183, 252, 0, -4, 0, 0, 112, 21, 0, -26, -79, 0, -261, 46, 0, 0, 10, 0, -271, -54, 0, -119, -341, 0, 474, -341, 0, -85, -74, 0, 85, -210, 0, 32, 120, 0, 118, 0, 0, 36, -269, 0, 5, -195, 0, -40, 199, 0, 0, 66, 0, 44, -54, 0, -154, -252, 0], 'weight': 2, 'weight_parity': 1}