# Stored data for newform 9251.2.a.m, downloaded from the LMFDB on 21 May 2024.
{"Nk2": 37004, "analytic_conductor": 73.86960690988649, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[11, 1], [29, 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": [9251, 1, [7570, 1684], [1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 7, "field_disc": 905721709, "field_disc_factorization": [[127, 1], [1063, 1], [6709, 1]], "field_poly": [1, 0, -14, 1, 15, -4, -3, 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, 0, 14, 1, -15, -4, 3, 1]]], "hecke_orbit": 13, "hecke_orbit_code": 54043195562009635, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "9251.2.a.m", "level": 9251, "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": [11, 29], "level_radical": 319, "minimal_twist": "319.2.a.d", "prim_orbit_index": 1, "qexp_display": "q-\\beta _{1}q^{2}+(-\\beta _{4}+\\beta _{5}-\\beta _{6})q^{3}+(\\beta _{1}+\\cdots)q^{4}+\\cdots", "related_objects": [], "relative_dim": 7, "rm_discs": [], "sato_tate_group": "1.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "9251.2.a", "trace_display": [-3, 0, 4, 1], "trace_hash": 212151172437272766, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "6.356", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "106.966", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2617.704", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.003", "prec": 17}, "traces": [0, 7, -3, 0, 3, 4, 0, 1, -6, 13, -3, -7, -7, 0, 14, 12, -1, -18, -10, -10, 17, -14, 3, 4, 0, 9, -3, 9, 2, 0, -31, 13, 5, 0, -15, -4, -19, 5, -10, -1, -8, -31, 20, -9, -3, -17, 14, 7, 41, 2, -34, 7, -35, 12, 4, -4, 13, -2, 0, 12, 44, -15, -3, -51, -22, -9, 0, -25, 6, 8, 48, 4, -7, -7, -38, 13, -14, -1, -25, -11, 2, 23, -8, 36, -5, 5, 48, 0, 6, -26, 13, -38, -19, -49, 8, -22, -39, -14, 41, -13, 68, -47, 7, -21, 1, -48, 39, -21, -53, 1, 3, -18, -44, 4, 17, -32, 0, 45, -28, -38, -39, 7, 61, -3, 60, 15, -23, -7, 14, 7, -59, -42, 7, 26, -8, 38, 24, -24, 32, 7, -7, 44, -4, 0, 32, 0, 30, 54, 51, 24, -12, -35, 19, -1, -14, 47, 19, 15, -1, 7, -59, 42, 31, 8, -10, -12, -35, 57, -10, 11, -20, -85, -81, -37, 0, -3, 1, -50, 13, 12, -64, -21, -77, -48, 15, -40, -54, 18, 13, -49, -56, 68, -45, 19, 16, -25, 15, -3, 10, -47, -54, -27, 41, 0, 7, 13, -23, -12, 36, 10, 45, -23, -72, 13, 16, -51, 83, -9, -33, -102, -17, 4, 77, -9, -25, -47, -19, -55, 34, 4, 63, 14, 0, 37, 92, 48, 48, 21, -47, 5, 9, -20, -3, 107, -72, 74, -22, 33, -80, 37, -65, -1, 46, -4, 32, 29, -3, -5, -7, 21, -19, 0, 118, 65, 0, -39, -70, -69, -38, -5, 23, -9, 10, -1, 27, -9, -66, -74, 39, -3, 58, 93, -101, -26, -43, -103, 3, -25, 54, -15, 0, 20, 37, -14, -46, -102, -19, -9, -27, -30, 58, 31, -73, -31, 13, -6, 10, -27, -2, 118, -38, -33, 40, -39, -49, -75, -14, 41, -7, 0, 4, -22, 6, -1, -82, -69, 60, 21, 32, 11, 31, 25, 17, -26, -51, -67, -39, -64, 127, -27, -62, -13, 72, 35, 32, -54, 69, -11, 0, -10, 99, 35, -5, 49, 19, -83, -65, -41, 65, 17, 29, 51, -43, 0, -35, -10, -22, 24, -6, -81, 37, 34, 128, 25, 15, 20, -73, 0, -18, 59, 27, 14, 2, -79, 56, 4, -47, 0, 29, -119, 85, -54, 11, -105, 6, 11, 19, -65, 39, 104, 24, 52, 40, -11, -24, 70, 0, -5, -20, -62, -92, -83, -8, -18, -42, 123, 50, 71, 10, 11, -28, -30, -41, -86, 14, -1, 153, -3, -47, 1, 57, 5, 19, -65, 91, 0, 87, 36, 9, 8, 8, -42, 44, -16, -49, -57, -21, -19, 11, 12, -44, 31, 80, -35, -20, -79, -93, -11, -30, 61, -29, -78, -20, -3, 0, 104, -80, -47, -55, -15, -161, -99, -143, 9, -27, 21, -19, 39, 47, 8, 49, -85, -35, 40, 3, 32, -49, 39, 59, 46, 47, -5, 100, 0, 23, 17, -39, 24, -87, 17, 102, -43, -33, -25, -28, -93, -14, -116, -27, 73, 13, 51, 55, -132, -124, 24, -40, -7, 18, -143, 44, 19, 0, 3, -39, -15, -44, -37, -41, -75, 48, 35, -125, 61, 67, 16, 36, 110, -1, -2, -133, 2, -29, -33, -12, 93, 31, 20, 56, 61, 34, 0, 4, -59, 57, 71, -68, -96, 11, 66, -143, -7, 23, -37, 139, -57, -65, -111, 109, -54, 80, 42, 35, -4, -101, -16, -62, -36, 144, 86, 0, -84, -33, -12, -31, 98, 67, -64, -6, -107, 4, -150, -17, 72, -4, -43, -35, -70, -46, 32, -137, -26, -77, -21, 59, 4, 21, -12, 39, 0, 116, 15, 38, 61, -152, -70, -13, 28, -100, 29, 130, -16, 76, 14, 12, -29, 57, 2, 80, 1, -62, 58, 9, -20, -33, 22, -61, -120, 0, 109, 86, -89, -79, -37, 40, -153, 74, -32, 92, -12, 0, 25, -61, 17, -37, -7, 14, -54, 100, -3, -44, -98, -10, 62, -17, -48, -113, 0, 85, 79, 0, 15, 71, -85, -59, -140, 30, 59, 116, 16, -21, -32, 3, -15, 147, -27, 72, 74, 17, 66, 30, -64, -121, 51, -40, 43, 0, 109, 106, -10, -146, -84, -98, 60, 22, -67, 15, 19, 26, -66, 227, 56, 101, -92, -13, 9, 9, 9, -60, 18, 113, -161, 79, -157, 8, 0, 0, -26, 25, 130, 117, -62, -3, -18, -62, -14, 0, 25, 128, -103, 3, -29, -35, 94, 27, -9, 19, 119, -6, -97, -99, -40, 89, -13, 0, -65, 219, 73, -99, -8, 46, 96, -165, 65, -2, 74, -119, -9, 22, -129, -48, 71, 104, 15, 74, 75, -16, 52, 142, 117, -88, -4, -35, 0, -15, -13, -55, 53, -49, -162, -24, 36, 7, 92, 71, -117, -7, -47, -17, -85, 6, -13, -151, 7, -2, 48, 24, -77, -1, -142, 102, 148, 0, -168, 38, -122, -56, 59, 111, 3, -17, -36, 8, 21, -47, -13, 14, 48, 17, -89, -177, -35, 121, -20, -194, 71, 14, -156, 62, -43, 73, 0, -44, -9, -33, 44, 105, 1, 14, -59, 7, 48, -295, 20, -100, -2, 5, -55, 25, 52, -93, 49, -71, 18, -138, -57, 51, 14, -42, 11, 0, 79, -32, -75, -7, -83, 89, -73, -37, 14, -2, -28, -77, -46, 111, 119, -58, 45, -89, 7, 81, -23, 99, 92, 49, 92, -93, 68, -115, 0, 91, -116, 8, 93, -25, -35, 25, 98, -25, -76, -199, 141, -71, -36, 54, -68, 9, 112, 14, 53, 95, -110, -58, -72, 5, 144, 57, 113, 0, 99, -158, -138, -24, 28, 192, -5, -65, 21, -169, 80, 317, 53, -48, -72, 61, 32, -48, -42, -2, -41, 39, 63, 1, 80, 44, -78, 8, 0, -79, -38, -142, 84, 76, 84, -14, 164, -52, -57, -6, -159, -3, -6, -120, -71, -53, 74, -81, 41, 191, 26, 96, -230, -108, -35, -63, -228, 0, 54, 137, 80, -13, -24, 28, 158, -73, 24, 51, 35, 23, -177, -200, 38, 49, -101, -65, -72, -77, 29, -35, -70, 116, 7, 19, 11, -27, 0, -109, 18, 43, -63, -68, -141, 18, 49, 3, -23, -31, 36, 22, -14, -160, 104, 98, 99, -8, -36, -109, 20, -1, 85, 18, -86, 44, 80, 0, 22, -22, -42, 19, 168, 98, -101, 56, 5, -90, 68, 39, -181, 58, 45, -42, -63, -42, 43, 34, 19, 40, 14, -25, -120, -65, 71, 8, 0, -101, -162, -3, -157, -41, 86, 141, 14, -2, 167, 198, 23, -15, 86, 37, 13, -183, -91, 49, 59, -56, 27, -51, 15, 80, -143, -68, -128, 0, 45, 22, 122, -31, -38, -18, 17, -265, 47, -90, 51, 182, -71, 11, 1, -25, -37, -101, 46, -7, -42, 30, -18, 17, 24, -121, -58, 204, 0, -9, 21, 78, -118, -53, -73, -108, 63, 51, 96, -133, -136, -1, 72, 106, -26, -100, 27, 133, 29, 66, -44, 14, 48, -118, 106, -14, -136, 0, 18, 73, -49, 58, -24, -39, -32, -131, 55, 9, -16, 71, -118, -56, 118, -16, 21, -84, -169, 103, 34, 161, 181, 102, 39, 107, 149, 53, 0, -125, -3, 51, 40, 121, 15, -32, 337, 89, -1, 58, 34, -158, -50, 85, -59, 82, 34, -64, -186, -3, 77, 20, -129, -54, 15, 97, 5, 0, 92, -252, 18, -66, 123, 72, 16, 26, -91, 64, 128, 168, 31, 44, 66, 6, 81, 9, -101, 13, 212, -195, -31, -36, -4, -26, 117, -225, 0, -29, -106, -88, 47, 16, 30, -17, -159, -156, 40, 48, 31, 20, -77, -19, 190, 38, 32, -57, -121, 39, -181, -243, -45, 98, 141, -280, -90, 0, -99, -205, -23, -122, 6, 68, -60, 93, -15, 1, -45, -86, 142, 282, 118, 135, 75, 47, -60, 70, -94, 28, 73, -45, 18, 86, -33, 122, 0, -44, 128, 182, 38, 169, 90, -16, -24, -15, -78, -167, 151, 209, -48, 39, -143, 79, 178, -130, -135, 59, -16, 36, -32, -205, -7, 246, -122, 0, -117, -22, 18, 100, 44, -149, -93, -61, 76, 99, -59, 117, 3, 14, -53, 227, -1, -24, 3, -153, 4, -139, 46, 82, 136, 127, -97, 199, 0, -60, -29, 179, 147, -44, 2, 194, 44, 162, -147, 105, -15, -3, 75, -34, 51, -20, 56, 53, 88, 100, 37, 23, -88, 139, -33, -222, 163, 0, 113, 127, -139, -113, 7, 218, -128, 144, -128, 42, -60, -14, -77, 125, 117, -14, -174, -17, 12, 3, 185, -91, -3, 17, -92, -16, -7, -342, 0, 27, -88, -92, 84, 72, -80, 91, -83, 59, 45, -30, -37, -112, -47, -96, 202, -94, 66, -83, 42, 14, 182, -183, -118, 138, 169, -37, -18, 0, -157, -7, 71, 118, -3, 124, 58, -149, 169, -77, -224, -36, -26, 246, 144, 187, 143, 161, -211, 68, 108, -60, -42, 8, 167, 95, -117, 196, 0, -59, 23, 141, 161, 91, -38, -55, -121, -16, -72, -101, -105, 205, 86, 52, -44, -24, 51, -126, -203, 195, -67, 134, 8, -48, 69, 115, 24, 0, -211, -37, 19, -129, 74, 132, -77, 173, -58, -32, 12, -98, -102, -118, 90, 273, -289, 131, -55, -38, -7, 76, -79, 171, 160, 309, -46, 97, 0, 194, -420, 7, 0, 162, -65, 27, 118, 115, 186, -73, 54, -299, -44, 5, 17, 9, 62, -76, -128, 25, -28, 14, 13, 4, -318, 56, 56, 0, 50, -236, -160, -54, -28, 175, 0, -139, 129, -15, -133, 121, -8, -49, 228, 103, 160, -32, -105, -37, 102, 10, 81, 189, -118, 199, -512, -115, 0, -190, -93, -58, -86, -166, 206, 92, 48, 170, 11, -30, -78, 15, 97, -50, 5, -141, 5, 199, 165, 0, -54, -91, 110, -199, 99, -12, -28, 0, 5, 266, -40, -51, 78, 473, -21, 25, 124, -42, -57, 99, -90, 196, -24, -6, -212, -14, -83, 23, -118, 101, 207, 217, 25, 12, 141, -255, 0, -104, 86, 19, 180, -23, -83, 165, 35, 6, -131, -100, -191, -144, -26, 154, 118, -19, 194, -19, -41, 151, -75, -201, -97, -159, -48, -129, -36, 0, 1, -208, -63, 8, -14, 67, -41, 314, 95, -64, 136, 14, 174, 12, 41, 101, 151, -32, -383, 20, 2, 84, -47, 62, -9, 264, -64, 53, 0, 25, 237, -4, 194, -19, 50, 155, 278, 219, -140, -24, 104, -72, -102, -241, -15, 4, 303, 39, -10, -42, 100, -49, -8, 160, -49, 1, -31, 0, -151, 152, -279, -2, -2, -16, -72, -132, -7, 124, 148, 115, -113, 101, 60, -75, 61, -217, -29, 59, -5, 103, 4, -229, 15, -21, 182, 66, 0, -412, -42, 98, 62, -133, -111, 68, -58, 10, -63, -315, -91, -31, -51, -61, 71, -65, 110, 7, 128, 49, -168, 174, -8, 4, -275, 141, 45, 0, -97, 44, -9, -81, 115, 10, -3, -107, 181, -67, -96, -94, -72, 20, -104, -6, 12, 161, -60, 27, 97, -97, 162, 84, 155, 243, -36, 35, 0, 68, 163, 381, 71, 164, -140, -31, 238, -120, -57, -25, 12, -151, 83, 183, -30, 107, 117, -16, -286, 10, -50, -169, -218, 56, -12, 48, 57, 0, 79, -152, -11, 217, -86, -164, -24, 181, 119, -76, -187, -107, 103, 20, -59, 15, 26, -51, 106, -82, -11, -54, -78, -229, 85, -19, 69, 120, 0, -39, -154, 303, -27, -125, 69, 81, -117, -104, 209, 44, 237, 2, 26, -167, 214, 225, 37, 62, -183, 130, -111, -130, -134, 268, 94, -110, -116, 0, -39, -35, 299, 35, 51, 258, 11, 74, 320, -36, 3, 171, 16, 113, 131, -92, 126, 20, -23, -22, 105, -1, 94, -79, 2, 86, -190, -120, 0, -28, -38, 27, 50, 48, 48, 45, 135, -55, 35, -34, 82, -468, -90, -13, -102, -76, -103, 41, 38, 169, -205, -310, -7, -186, -12, 243, -227, 0, -95, 99, -48, 52, 104, -93, 17, 64, -12, 154, -253, 3, -105, -100, -84, 229, -213, 231, 21, -24, 101, -82, 61, -73, -83, 189, -97, 168, 0, 77, -262, -12, 110, 0, 5, 22, -98, 130, -166, 103, 48, -72, -130, 194, 52, 30, -27, -157, 38, -5, 187, -15, -236, -65, 26, 75, -154, 0, -101, 125, -88, -280, 40, 98, 10, 113, -129, 0, 85, 76, -168, 71, 19, 54, -24, -25, 15, 51, 176, 359, 54, 45, 202, 130, -18, -172, 0, 112, -39, 61, 13, -85, -228, 65, -100, -13, -61, -25, 197, 37, 192, -66, 21, 158, -113, -244, 49, 187, -60, 47, 313, 46, -96, -95, 8, 0, 33, 56, -6, -155, -80, 97, 0, -161, 211, -119, -63, -294, -68, 84, -224, -78, -240, -188, -16, -89, 229, -217, 65, 45, -42, -133, 41, -85, 0, -120, -235, 195, 225, 188, -19, 311, -45, 10, 276, 239, -263, 1, -197, 235, 136, -16, 236, 108, -135, 111, -92, -111, -17, 176, 3, 112, 25, 0, -125, -32, -101, 339, 79, 148, -187, 338, 139, -15, -10, -42, -129, -50, -36, 168, -200, -12, -75, 6, 3, 81, 36, 382, -74, 70, -89, 18, 0, 69, -21, -10, 73, 356, 30, -110, 288, -112, -144, -34, 531, 25, 47, 13, -57, -91, -49, 42, -155, -180, -171, -7, -255, 54, -289, -87, -256, 0, 52, 11, 117, 52, 24, 223, 27, 31, -201, -47, 104, 135, 138, 116, 145, 405, -250, -41, -320, 183, -221, -47, -48, -182, 50, 193, -10, -158, 0, 0, -187, 62, -20, -57, 194, 105, 331, 236, -81, -7, 59, -143, -36, -192, 248, 56, 55, -16, 258, 118, -13, -26, -305, 140, -76, -105, 65, 0, 264, 133, 289, 23, -65, 483, 13, 157, 264, 12, 15, 79, 11, 70, 12, 137, 224, 11, -151, 60, 154, -237, 138, 295, -185, -36, 61, 55, 0, -330, 87, -231, -100, 54, -34, -17, -10, -207, -35, -83, 52, 18, 188, 46, 182, -126, -11, -45, -174, -34, 93, 76, -15, -3, -91, -151, 393, 0, 23, -208, 34, 15, 319, 137, -157, -49, 91, 150, 246, 72, -93, 38, -82, 46, -50, 139, 73, 173, 73, -22, -13, -130, -59, -54, 9, 48, 0, -235, 123, -22, 118, -16, 330, -24, -67, 135, -120, -186, -111, 67, -101, -127, 51, 220, 62, -192, -88, 42, 47, 145, 11, 104, 74, -83, -265, 0, -229, -167, -63, 141, 27, -32, 54, -356, 9, -43, 40, 18, -175, 22, 80, 130, 66, 108, -124, 33, -78, 43, 43, -107, 59, 96, 114, 138, 0, -154, 102, 116, -202, 185, 212, 43, 20, 78, 88, -163, -145, 17, 44, -321, 2, 84, 63, -5, -117, -140, 9, 62, -4, -195, 16, 94, 14, 0, 67, -51, -293, 275, 184, -77, 302, 12, 13, -50, -13, -37, -8, 123, 97, -43, 9, 162, 22, 100, -147, -21, -50, -155, -156, 187, 94, 25, 0, -116, -100, -32, 209, 241, -95, -30, 85, -36, 47, 126, -62, 61, 32, 160, 120, -106, -102, 160, 111, 19, 113, 45, -51, -87, 59, 85, -106, 0, -87, -266, 55, -103, -18, 107, 51, 251, 113, 25, 121, 282, -6, -34, -186, -29, -176, 11, 77, -175, 27, 24, 105, -229, -4, -61, 83, -99, 0, 256, -70, 232, 31, -25, 347, -63, 15, 145, -112, -145, -53, 40, -31, 101, -197, 371, -14, -77, -27, 38, 55, 117, -83, -118, -58, -61, 21, 0, -48, -133, 220, 5, 108, 260, 108, 310, 75, -130, -37, -142, -77, -82, 246, 159, 4, -58, -40, 95, 133, -92, 63, 38, 177, 18, 25, -354, 0, -67, 329, -48, -48, -96, -115, 103, -196, 71, 137, -276, 169, -150, -333, -48, -10, 78, 70, 119, -180, -119, -305, -258, 14, 6, -21, -83, -22, 0, 45, 75, -38, -128, -234, -318, 107, 47, -54, -144, 63, -38, 169, 220, 80, 95, 125, 160, -5, 104, 363, 137, 202, 105, -182, -285, -477, 316, 0, -9, 13, 264, -77, -145, -134, 12, 69, 91, -62, 237, 20, -90, 21, -48, -254, -90, 146, 168, 195, -102, 248, 3, 79, 9, 120, 271, 236, 0, 37, 333, 116, -112, -107, 132, -182, -206, 22, 141, 167, 146, -95, 104, -98, 72, 11, 50, 150, -212, -11, 317, -18, -46, 281, -111, -74, -18, 0, 112, -99, -144, -17, 238, -28, -260, -204, 22, 135, 85, -10, 368, 41, 3, -75, 1, 115, 1, -33, -25, 185, 185, -26, -181, 225, -135, 270, 0, -258, 80, 159, 15, -203, -33, -146, -8, -316, -228, -182, -180, -37, -205, 191, 76, 225, -175, 123, 100, 163, -184, -120, 65, 301, 131, 36, -80, 0, -43, 127, -242, -99, 176, 1, -140, 0, -138, -57, -372, 85, -154, 380, 146, -51, -46, 136, -119, -55, -89, 14, -112, 207, 290, 179, 134, 4, 0, -42, -100, -106, 6, 116, -5, -28, 218, -288, -32, -57, -361, 316, -72, 19, -109, -155, -117, 43, -110, -29, -177, -8, 127, -111, 238, 435, -253, 0, -74, -323, 3, 57, -206, 187, 209, -209, -20, 169, -157, 148, 9, 5, -9, -58, -81, 311, 59, -281, -169, 56, -71, -217, 7, -106, 335, 30, 0, -166, -100, 99, 167, -196, 64, -21, -108, 58, 16, -8, -2, -157, 56, 51, -29, 90, 19, -42, -196, 254, 54, 206, -129, -201, 70, -103, -262, 0, 142, -197, -385, -64, 59, 39, -187, 76, 94, 88, -118, -49, -110, 18, -110, 145, 135, 133, 158, -308, -23, -65, -81, 140, 60, 20, -66, -335, 0, 112, 78, -43, 0, -105, 111, -64, 65, -112, 0, -147, 244, 174, -169, 39, -340, -28, -71, -3, 29, -8, 120, -86, 149, -184, 70, 195, -157, 0, -285, 188, -87, -55, -406, -285, -34, 69, 27, 155, -198, -24, -53, -254, -109, 72, 66, -124, 38, 96, -439, -77, -10, -70, -214, -33, -264, 244, 0, 5, 130, 130, 38, -2, -62, 85, -134, 226, -115, 223, -23, 16, -146, -84, 126, -75, -187, -137, 139, 137, 73, 9, -137, -231, -168, -135, 89, 0, -351, 58, -158, 143, -10, -18, 114, 405, 43, -343, 159, 15, -183], "weight": 2, "weight_parity": 1, "id": null, "nf_label": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 1, -1], [0, 1, 1, 0, 0, 0, 0], [1, 0, 1, 0, 0, 1, -1], [-1, 1, -1, -1, 0, -1, 1], [0, 0, 0, -1, 0, 0, 1], [-1, 0, -1, -1, 0, 0, 0], [2, -1, -1, 1, 0, -1, -1], [-1, -1, -1, -1, 0, -2, 1], [-1, 0, 0, 0, 0, 0, 0], [0, 0, 2, 1, 1, 1, 0], [1, -1, -1, 1, 1, 0, 0], [2, 0, 2, 0, -1, 1, -1], [1, 1, 1, 1, 0, -1, -1], [0, 0, 0, 1, -1, 1, -1], [-3, 1, 0, 0, 0, 0, -1], [0, -1, 0, 1, 1, 1, 0], [-2, 2, -1, -1, 0, 1, 2], [3, 1, 3, 1, -1, 3, -1], [-2, 0, 0, 0, 1, -1, 3], [0, 1, 0, 0, 0, 0, 0], [0, 0, -1, -1, -1, 0, 1], [1, -3, -1, 1, 1, -2, 0], [0, 3, 2, 0, -1, 1, 0], [-1, 1, -1, 2, 1, -2, 1], [2, -2, -2, -1, -1, 1, -4], [1, -3, -1, -1, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0], [-2, -4, -2, -1, 1, 1, 0], [3, -1, 3, 2, 2, -1, 0], [0, 1, -1, 1, 1, -2, 2], [0, 0, 0, 0, 1, -1, 1], [-3, 2, -1, 0, 0, 0, 0], [0, -2, 0, -2, 1, -1, 1], [-5, 4, 0, -1, 1, -2, 4], [-2, 4, 0, -1, -1, -1, 2], [-3, 2, -1, 1, -1, -1, 0], [-3, 3, -1, -2, -3, 0, -1], [-1, -2, -4, -2, 1, -2, 2], [-4, 1, 0, 0, 1, 1, 0], [3, 1, 1, 1, 0, 1, -1], [0, -3, -2, 0, 0, 0, 1], [0, -1, -1, 0, 0, 0, 0], [-1, -2, -1, 1, -1, 2, -3], [2, 1, 2, 0, -1, 2, -1], [2, 0, 2, 1, -1, 3, 0], [5, 1, -1, 0, -1, 0, -1], [1, -2, 2, -1, -2, 2, -3], [-4, -4, -4, -3, 0, -1, 1], [3, -3, 1, 2, 3, -2, -1], [-5, 1, -1, 0, 0, 1, 0], [3, -3, -2, 0, 0, 0, 1], [-1, 3, 3, 1, -1, 0, 0], [-1, 0, -1, 0, 0, -1, 1], [2, 2, 2, 1, 1, 1, 0], [-1, 1, 1, 1, 2, -3, 7], [0, 0, 0, 0, 0, 0, 0], [0, 2, 1, 3, 0, -3, 4], [3, 7, 3, 1, -1, 0, 2], [1, -6, -1, 1, 3, -2, -1], [2, -6, -2, -1, 2, -2, 1], [-9, 5, 1, 0, 2, -1, 6], [-1, -2, -1, 0, 3, 0, 1], [-3, 3, -3, 0, 1, -2, 1], [1, -1, 1, 1, 0, 1, -1], [-4, 1, -2, 0, 1, -1, 2], [1, 0, -2, 1, 0, 0, 2], [2, -2, -2, 0, 0, 0, 2], [7, 1, 7, 1, -2, 3, -3], [-2, 1, -4, -3, -2, -2, 0], [-2, 1, 0, -1, -3, 2, -3], [0, -2, 2, 1, 3, -3, 2], [-3, -3, -1, -1, -1, 4, -2], [4, 0, 4, 3, 2, 2, 1], [0, -3, -1, 2, 1, 0, -4], [0, 0, 0, 1, 0, 0, -1], [-3, 1, 1, -2, -2, 5, -2], [-1, -1, 0, 1, 0, 0, -2], [-1, 3, 2, 3, 0, -1, -2], [5, -6, -2, 0, -3, 1, -9], [-4, 4, -2, 1, 0, -3, 1], [7, -1, 1, 1, 1, 2, -4], [0, -4, -4, -1, -1, -1, -4], [0, 1, -3, 1, -1, 0, 2], [5, 5, 3, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 1, 0, 0, 0], [-3, -1, -3, -1, 3, -2, 2], [-2, 6, -2, 0, 1, -4, 3], [-7, 5, -3, 1, 1, 0, 2], [-2, -3, -1, -1, 2, -3, 0], [-10, 8, 4, -3, -2, 4, -1], [-1, -1, -5, -3, 1, -6, 4], [-4, 3, -1, 0, 4, -3, 2], [-5, 1, 1, -2, -2, 5, 0], [-2, 0, 2, 0, -1, 1, -1], [4, 1, 2, -4, -1, -1, 1], [-2, 1, 1, -1, 0, 1, 1], [9, 5, 7, 4, -1, 3, -4]]}