# Stored data for newform 10000.2.a.bo, downloaded from the LMFDB on 20 April 2024.
{"label": "10000.2.a.bo", "space_label": "10000.2.a", "level": 10000, "weight": 2, "hecke_orbit": 41, "hecke_orbit_code": 180143985128384272, "dim": 12, "is_polredabs": true, "trace_hash": 2029211987652766049, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[3, [-5, 110, 1165, 2760, 726, -2624, -708, 773, 195, -93, -23, 4, 1]], [7, [16, -848, 12224, -30798, 13407, 9353, -5896, -919, 824, 29, -48, 0, 1]], [11, [-8609, 29479, 4252, -78417, 44673, 17573, -14022, -1322, 1533, 48, -68, -1, 1]]], "qexp_display": "q-\\beta _{6}q^{3}+(1+\\beta _{1}-\\beta _{2}+\\beta _{5})q^{7}+(2+\\cdots)q^{9}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 40000, "fricke_eigenval": 1, "atkin_lehner_string": "++", "analytic_conductor": 79.85040202128039, "hecke_ring_index": 5, "level_radical": 10, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.009", "prec": 17}, "analytic_rank_proved": true, "char_values": [10000, 1, [8751, 2501, 9377], [1, 1, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 1, "level_primes": [2, 5], "conrey_indexes": [1], "field_disc": 3930964290369140625, "field_disc_factorization": [[3, 6], [5, 9], [18059, 1], [152879, 1]], "field_poly": [45, 0, -285, 15, 556, 4, -440, -29, 144, 11, -20, -1, 1], "hecke_ring_index_factorization": [[5, 1]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.097", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "313.896", "prec": 24}, {"__RealLiteral__": 0, "data": "221.874", "prec": 24}, {"__RealLiteral__": 0, "data": "15451.200", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "1.2.3.c1", "atkin_lehner_eigenvals": [[2, 1], [5, 1]], "trace_display": [0, -4, 0, 0], "traces": [0, 12, 0, -4, 0, 0, 0, 0, 0, 26, 0, 1, 0, -4, 0, 0, 0, -8, 0, -9, 0, 12, 0, 0, 0, 0, 0, -37, 0, 8, 0, -33, 0, -26, 0, 0, 0, -6, 0, -14, 0, 27, 0, -50, 0, 0, 0, 18, 0, 12, 0, 5, 0, -22, 0, 0, 0, -36, 0, -33, 0, -8, 0, -26, 0, 0, 0, -41, 0, 3, 0, -19, 0, 5, 0, 0, 0, 13, 0, -58, 0, 68, 0, -18, 0, 0, 0, -48, 0, 44, 0, -46, 0, -10, 0, 0, 0, -22, 0, -5, 0, -8, 0, -12, 0, 0, 0, -20, 0, 38, 0, -19, 0, -10, 0, 0, 0, -11, 0, 57, 0, 5, 0, -83, 0, 0, 0, 14, 0, 44, 0, -7, 0, -62, 0, 0, 0, -19, 0, -15, 0, 94, 0, -5, 0, 0, 0, -38, 0, -31, 0, -17, 0, -41, 0, 0, 0, -75, 0, -76, 0, -31, 0, 40, 0, 0, 0, 12, 0, 38, 0, -75, 0, 25, 0, 0, 0, 42, 0, -43, 0, 111, 0, 45, 0, 0, 0, -78, 0, 111, 0, -12, 0, 19, 0, 0, 0, -37, 0, -33, 0, 39, 0, -36, 0, 0, 0, 16, 0, 52, 0, -21, 0, 17, 0, 0, 0, -23, 0, -3, 0, 4, 0, 72, 0, 0, 0, -97, 0, 63, 0, -52, 0, -79, 0, 0, 0, -81, 0, -12, 0, 92, 0, -170, 0, 0, 0, 130, 0, -8, 0, -17, 0, -68, 0, 0, 0, -45, 0, -118, 0, 0, 0, -8, 0, 0, 0, -49, 0, 63, 0, -73, 0, 12, 0, 0, 0, 36, 0, -86, 0, 64, 0, -56, 0, 0, 0, -17, 0, 72, 0, -36, 0, -60, 0, 0, 0, -33, 0, -64, 0, 42, 0, 56, 0, 0, 0, -83, 0, 84, 0, -30, 0, -8, 0, 0, 0, 16, 0, 6, 0, 20, 0, -88, 0, 0, 0, -46, 0, -60, 0, -81, 0, -55, 0, 0, 0, -6, 0, 59, 0, 57, 0, -87, 0, 0, 0, -93, 0, 16, 0, -42, 0, -38, 0, 0, 0, -145, 0, -45, 0, -1, 0, -10, 0, 0, 0, -15, 0, 38, 0, -30, 0, 2, 0, 0, 0, -85, 0, -120, 0, 34, 0, 19, 0, 0, 0, -162, 0, -11, 0, 73, 0, -138, 0, 0, 0, -9, 0, -32, 0, 15, 0, -86, 0, 0, 0, 83, 0, 42, 0, -33, 0, -47, 0, 0, 0, -84, 0, 20, 0, -17, 0, -1, 0, 0, 0, 27, 0, -101, 0, 37, 0, -33, 0, 0, 0, -113, 0, -21, 0, 48, 0, -67, 0, 0, 0, 133, 0, 40, 0, 5, 0, -92, 0, 0, 0, -28, 0, 35, 0, -116, 0, 70, 0, 0, 0, -37, 0, 41, 0, 19, 0, -34, 0, 0, 0, 29, 0, 15, 0, 105, 0, -89, 0, 0, 0, -29, 0, 27, 0, 18, 0, -44, 0, 0, 0, -38, 0, 69, 0, -117, 0, 55, 0, 0, 0, -167, 0, -101, 0, -89, 0, 22, 0, 0, 0, -16, 0, 127, 0, -30, 0, -57, 0, 0, 0, -69, 0, 10, 0, 128, 0, -82, 0, 0, 0, -101, 0, 80, 0, 21, 0, -68, 0, 0, 0, -50, 0, -101, 0, 21, 0, -6, 0, 0, 0, -47, 0, 68, 0, -100, 0, -207, 0, 0, 0, -135, 0, -37, 0, 34, 0, 0, 0, 0, 0, -49, 0, -9, 0, -152, 0, -86, 0, 0, 0, -178, 0, 52, 0, 117, 0, -119, 0, 0, 0, 88, 0, -14, 0, 24, 0, -244, 0, 0, 0, -83, 0, -101, 0, -76, 0, -12, 0, 0, 0, -22, 0, -106, 0, -41, 0, 37, 0, 0, 0, 76, 0, -112, 0, -74, 0, -124, 0, 0, 0, -7, 0, -44, 0, -21, 0, -23, 0, 0, 0, -61, 0, -10, 0, 115, 0, -42, 0, 0, 0, -66, 0, 71, 0, 124, 0, 70, 0, 0, 0, 51, 0, -149, 0, 57, 0, -79, 0, 0, 0, -122, 0, -95, 0, -162, 0, -103, 0, 0, 0, 119, 0, -56, 0, -99, 0, -118, 0, 0, 0, 28, 0, 79, 0, 15, 0, 83, 0, 0, 0, -160, 0, 8, 0, 52, 0, -82, 0, 0, 0, -139, 0, 75, 0, -35, 0, -12, 0, 0, 0, 40, 0, -79, 0, 159, 0, 122, 0, 0, 0, -180, 0, 25, 0, -121, 0, -21, 0, 0, 0, -127, 0, 0, 0, -131, 0, -35, 0, 0, 0, 84, 0, 102, 0, -23, 0, 115, 0, 0, 0, -2, 0, 105, 0, -35, 0, -37, 0, 0, 0, 57, 0, 95, 0, 4, 0, -144, 0, 0, 0, -44, 0, -130, 0, 92, 0, 54, 0, 0, 0, 11, 0, -82, 0, 30, 0, -182, 0, 0, 0, -6, 0, -18, 0, -55, 0, 161, 0, 0, 0, 1, 0, -103, 0, -21, 0, 165, 0, 0, 0, -34, 0, 82, 0, -8, 0, 8, 0, 0, 0, 70, 0, 28, 0, -50, 0, 43, 0, 0, 0, 125, 0, 49, 0, 128, 0, 219, 0, 0, 0, -27, 0, -77, 0, -201, 0, -93, 0, 0, 0, -42, 0, 38, 0, -114, 0, 179, 0, 0, 0, -96, 0, 282, 0, -75, 0, 81, 0, 0, 0, 59, 0, 31, 0, 174, 0, -91, 0, 0, 0, 238, 0, -19, 0, 68, 0, 8, 0, 0, 0, -47, 0, -154, 0, 156, 0, -105, 0, 0, 0, 24, 0, -140, 0, -117, 0, -84, 0, 0, 0, -26, 0, -97, 0, -10, 0, 66, 0, 0, 0, 107, 0, 377, 0, -129, 0, 72, 0, 0, 0, -117, 0, -51, 0, -7, 0, -34, 0, 0, 0, 153, 0, 187, 0, 79, 0, 75, 0, 0, 0, 81, 0, 5, 0, -52, 0, -227, 0, 0, 0, 1, 0, -42, 0, -136, 0, -148, 0, 0, 0, 58, 0, -142, 0, 211, 0, 67, 0, 0, 0, -71, 0, -112, 0, -153, 0, 23, 0, 0, 0, 84, 0, -212, 0, 36, 0, 41, 0, 0, 0, 83, 0, 194, 0, -53, 0, 245, 0, 0, 0, 187, 0, -240, 0, 131, 0, 196, 0, 0, 0, -169, 0, -103, 0, -28, 0, 3, 0, 0, 0, 47, 0, -167, 0, -12, 0, 4, 0, 0, 0, 127, 0, 70, 0, 23, 0, -59, 0, 0, 0, 4, 0, 26, 0, 384, 0, 14, 0, 0, 0, 93, 0, 68, 0, -55, 0, 92, 0, 0, 0, 9, 0, -105, 0, -2, 0, 79, 0, 0, 0, 1, 0, 127, 0, -135, 0, -13, 0, 0, 0, -89, 0, -15, 0, -159, 0, 238, 0, 0, 0, -31, 0, 215, 0, -100, 0, -161, 0, 0, 0, 112, 0, 68, 0, 477, 0, -151, 0, 0, 0, -75, 0, -9, 0, 16, 0, 386, 0, 0, 0, -102, 0, 41, 0, 57, 0, 46, 0, 0, 0, -80, 0, 172, 0, 167, 0, 57, 0, 0, 0, 45, 0, -174, 0, 21, 0, 10, 0, 0, 0, -25, 0, 115, 0, -39, 0, 72, 0, 0, 0, -81, 0, 160, 0, 111, 0, -163, 0, 0, 0, -73, 0, 124, 0, -20, 0, 6, 0, 0, 0, -20, 0, -105, 0, -14, 0, -71, 0, 0, 0, 19, 0, -120, 0, -161, 0, 273, 0, 0, 0, 104, 0, -138, 0, -86, 0, 291, 0, 0, 0, 231, 0, 29, 0, -78, 0, -144, 0, 0, 0, -77, 0, 34, 0, 17, 0, -151, 0, 0, 0, 18, 0, -40, 0, 119, 0, -77, 0, 0, 0, 52, 0, -28, 0, 118, 0, -65, 0, 0, 0, -31, 0, -100, 0, -175, 0, -241, 0, 0, 0, 288, 0, -177, 0, -69, 0, 29, 0, 0, 0, -35, 0, 85, 0, 6, 0, 81, 0, 0, 0, -134, 0, -123, 0, 177, 0, 26, 0, 0, 0, 264, 0, 57, 0, 105, 0, -294, 0, 0, 0, 55, 0, -116, 0, 39, 0, 89, 0, 0, 0, 78, 0, 84, 0, -316, 0, 160, 0, 0, 0, -159, 0, 34, 0, -233, 0, 328, 0, 0, 0, 167, 0, 287, 0, -219, 0, 82, 0, 0, 0, 153, 0, 158, 0, -31, 0, 156, 0, 0, 0, -207, 0, 314, 0, 70, 0, 307, 0, 0, 0, 8, 0, -216, 0, -10, 0, -104, 0, 0, 0, 40, 0, -66, 0, -103, 0, -187, 0, 0, 0, 263, 0, -39, 0, -17, 0, -147, 0, 0, 0, 79, 0, -129, 0, 235, 0, 113, 0, 0, 0, -132, 0, 48, 0, -43, 0, -174, 0, 0, 0, 38, 0, -52, 0, -134, 0, 11, 0, 0, 0, 296, 0, 80, 0, 270, 0, -24, 0, 0, 0, 83, 0, -94, 0, -28, 0, 45, 0, 0, 0, 34, 0, -82, 0, 83, 0, -211, 0, 0, 0, -93, 0, 80, 0, -217, 0, -89, 0, 0, 0, 60, 0, 10, 0, -46, 0, 156, 0, 0, 0, 159, 0, -45, 0, 28, 0, 420, 0, 0, 0, 24, 0, -124, 0, 72, 0, 43, 0, 0, 0, -270, 0, -182, 0, 162, 0, -45, 0, 0, 0, 124, 0, 89, 0, -100, 0, 344, 0, 0, 0, 27, 0, 14, 0, -66, 0, -6, 0, 0, 0, -261, 0, 107, 0, 86, 0, -71, 0, 0, 0, 89, 0, 89, 0, 150, 0, -105, 0, 0, 0, -56, 0, -125, 0, -63, 0, 105, 0, 0, 0, 35, 0, -95, 0, -100, 0, 44, 0, 0, 0, 96, 0, 22, 0, -21, 0, -4, 0, 0, 0, -4, 0, 97, 0, 67, 0, -95, 0, 0, 0, 243, 0, 124, 0, 77, 0, -237, 0, 0, 0, -152, 0, -44, 0, -155, 0, 8, 0, 0, 0, -48, 0, 306, 0, 38, 0, -7, 0, 0, 0, -91, 0, -124, 0, 196, 0, 173, 0, 0, 0, 250, 0, -162, 0, -194, 0, 423, 0, 0, 0, 142, 0, 13, 0, 40, 0, 133, 0, 0, 0, -142, 0, 175, 0, -32, 0, 41, 0, 0, 0, 19, 0, 4, 0, 199, 0, 129, 0, 0, 0, 96, 0, 83, 0, -117, 0, 165, 0, 0, 0, -109, 0, -10, 0, 290, 0, 245, 0, 0, 0, 7, 0, 84, 0, -180, 0, -245, 0, 0, 0, 82, 0, 211, 0, -54, 0, 118, 0, 0, 0, 6, 0, 197, 0, 178, 0, -3, 0, 0, 0, 350, 0, -99, 0, 94, 0, 144, 0, 0, 0, -90, 0, 106, 0, 23, 0, -44, 0, 0, 0, 133, 0, -205, 0, 113, 0, -354, 0, 0, 0, 180, 0, 71, 0, 63, 0, -335, 0, 0, 0, -6, 0, 51, 0, -79, 0, 88, 0, 0, 0, -70, 0, 39, 0, -70, 0, 293, 0, 0, 0, 145, 0, -230, 0, 218, 0, -67, 0, 0, 0, 192, 0, 237, 0, 73, 0, 325, 0, 0, 0, 101, 0, -240, 0, 150, 0, -12, 0, 0, 0, -34, 0, -47, 0, -353, 0, 44, 0, 0, 0, 89, 0, -65, 0, -133, 0, 99, 0, 0, 0, 135, 0, -12, 0, 133, 0, 88, 0, 0, 0, 141, 0, 30, 0, 137, 0, 50, 0, 0, 0, 64, 0, -193, 0, -46, 0, 76, 0, 0, 0, 18, 0, -99, 0, 106, 0, 40, 0, 0, 0, 425, 0, -172, 0, 6, 0, -60, 0, 0, 0, -35, 0, 205, 0, -143, 0, 133, 0, 0, 0, -162, 0, 237, 0, 347, 0, -27, 0, 0, 0, 111, 0, 166, 0, 114, 0, -236, 0, 0, 0, -102, 0, -162, 0, -116, 0, 21, 0, 0, 0, -231, 0, -23, 0, 107, 0, 170, 0, 0, 0, -147, 0, 37, 0, -135, 0, -291, 0, 0, 0, 69, 0, 4, 0, -169, 0, 182, 0, 0, 0, -27, 0, 13, 0, -59, 0, 78, 0, 0, 0, 221, 0, 138, 0, 336, 0, 179, 0, 0, 0, -4, 0, 153, 0, -96, 0, 488, 0, 0, 0, -80, 0, 60, 0, -404, 0, -46, 0, 0, 0, 426, 0, -79, 0, -106, 0, 115, 0, 0, 0, -97, 0, -169, 0, 50, 0, 226, 0, 0, 0, -93, 0, 208, 0, -53, 0, 85, 0, 0, 0, 448, 0, -119, 0, -72, 0, -198, 0, 0, 0, 378, 0, 202, 0, 96, 0, 44, 0, 0, 0, -225, 0, -33, 0, 199, 0, -189, 0, 0, 0, 49, 0, -110, 0, 69, 0, 324, 0, 0, 0, 231, 0, 124, 0, -123, 0, 218, 0, 0, 0, 0, 0, 32, 0, -465, 0, -115, 0, 0, 0, -255, 0, -13, 0, 88, 0, 167, 0, 0, 0, -19, 0, 149, 0, -72, 0, -56, 0, 0, 0, 199, 0, -106, 0, -98, 0, -412, 0, 0, 0, 47, 0, 239, 0, -63, 0, -163, 0, 0, 0, 312, 0, -80, 0, 28, 0, 192, 0, 0, 0, -304, 0, -89, 0, -27, 0, 184, 0, 0, 0, -126, 0, -229, 0, 313, 0, 253, 0, 0, 0, -14, 0, -210, 0, 365, 0, 133, 0, 0, 0, 133, 0, -214, 0, -127, 0, 205, 0, 0, 0, -17, 0, -176, 0, -17, 0, 170, 0, 0, 0, -86, 0, 194, 0, 320, 0, 85, 0, 0, 0, 246, 0, 68, 0, 316, 0, -54, 0, 0, 0, 393, 0, -35, 0, 113, 0, 398, 0, 0, 0, 211, 0, 115, 0, -145, 0, 295, 0, 0, 0, 87, 0, -202, 0, -84, 0, -110, 0, 0, 0, 140, 0, 9, 0, -183, 0, -254, 0, 0, 0, -117, 0, -319, 0, -253, 0, 117, 0, 0, 0, -21, 0, -27, 0, -392, 0, -123, 0, 0, 0, 83, 0, 140, 0, 353, 0, 132, 0, 0, 0, 292, 0, -72, 0, -266, 0, 441, 0, 0, 0, -116, 0, -5, 0, -148, 0, 123, 0, 0, 0, 183, 0, -45, 0, 76, 0, 480, 0, 0, 0, -40, 0, 55, 0, 278, 0, -100, 0, 0, 0, -68, 0, 210, 0, -432, 0, -282, 0, 0, 0, 188, 0, -50, 0, 185, 0, 468, 0, 0, 0, 109, 0, 107, 0, -28, 0, 151, 0, 0, 0, 147, 0, -73, 0, 93, 0, -214, 0, 0, 0, 319, 0, 15, 0, -208, 0, 568, 0, 0, 0, 108, 0, 30, 0, 75, 0, 203, 0, 0, 0, -78, 0, 116, 0, 178, 0, -46, 0, 0, 0, 65, 0, -234, 0, -116, 0, -42, 0, 0, 0, 115, 0, 163, 0, -61, 0, -310, 0, 0, 0, 41, 0, -219, 0, 129, 0, 142, 0, 0, 0, -227, 0, 293, 0, -341, 0, -74, 0, 0, 0, 442, 0, -434, 0, -4, 0, -33, 0, 0, 0, 7, 0, 200, 0, 31, 0, -44, 0, 0, 0, 301, 0, -5, 0, 35, 0, 217, 0, 0, 0, -27, 0, -102, 0, 222, 0, -75, 0, 0, 0, -198, 0, -140, 0, 128, 0, -344, 0, 0, 0, 275, 0, 66, 0, -233, 0, 631, 0, 0, 0, 45, 0, 200, 0, 63, 0, 228, 0, 0, 0, 40, 0, 400, 0, 138, 0, -21, 0, 0, 0, 161, 0, 314, 0, -118, 0, -145, 0, 0, 0, 180, 0, 234, 0, 68, 0, 390, 0, 0, 0, 1, 0, -144, 0, 230, 0, -76, 0, 0, 0, -254, 0, -301, 0, -72, 0, 288, 0, 0, 0, 20, 0, -173, 0, -65, 0, 122, 0, 0, 0, -18, 0, 70, 0, -77, 0, -12, 0, 0, 0, 284, 0, -8, 0, 54, 0, 269, 0, 0, 0, 30, 0, -127, 0, -52, 0, 7, 0, 0, 0, -152, 0, -37, 0, 65, 0, -366, 0, 0, 0, -114, 0, 190, 0, -83, 0, 559, 0, 0, 0, 92, 0, -138, 0, 88, 0, -16, 0, 0, 0, -304, 0, 197, 0, -19, 0, -266, 0, 0, 0, -381, 0, 31, 0, 369, 0, 145, 0, 0, 0, 215, 0, 0, 0, 99, 0, 25, 0, 0, 0, -61, 0, 30, 0, 268, 0, -3, 0, 0, 0, 43, 0, 214, 0, -51, 0, -195, 0, 0, 0, 403, 0, -44, 0, -98, 0, 170, 0, 0, 0, -44, 0, 268, 0, -692, 0, 33, 0, 0, 0, 215, 0, -226, 0, 37, 0, 370, 0, 0, 0, 3, 0, 85, 0, -160, 0, -135, 0, 0, 0, 76, 0, -240, 0, 167, 0, -26, 0, 0, 0, 43, 0, -128, 0, -94, 0, 147, 0, 0, 0, 188, 0, 53, 0, -24, 0, -315, 0, 0, 0, -263, 0, 83, 0, -291, 0, -347, 0, 0, 0, -191, 0, -212, 0, 253, 0, -115, 0, 0, 0, 189, 0, -168, 0, -98, 0, -182, 0, 0, 0, -28, 0, -411, 0, 382, 0, -125, 0, 0, 0, 208, 0, 158, 0, -80, 0, 368, 0, 0, 0, -81, 0, -218, 0, 75, 0, -39, 0, 0, 0, 348, 0, 206, 0, 320, 0, -263, 0, 0, 0, -407, 0, -57, 0, 119, 0, -206, 0, 0, 0, 0, 0, -44, 0, -174, 0, -154, 0, 0, 0, -240, 0, -291, 0, -185, 0, -41, 0, 0, 0, 407, 0, -50, 0, -35, 0, 298, 0, 0, 0, 344, 0, -431, 0, -173, 0, 29, 0, 0, 0, 38, 0, 15, 0, -262, 0, 312, 0, 0, 0, 174, 0, -33, 0, 397, 0, 494, 0, 0, 0, -51, 0, 290, 0, 71, 0, -308, 0, 0, 0, -123, 0, 146, 0, 15, 0, -45, 0, 0, 0, 174, 0, -28, 0, 302, 0, -359, 0, 0, 0, 131, 0, -93, 0, 234, 0, 127, 0, 0, 0, -84, 0, 268, 0, -177, 0, -271, 0, 0, 0, 319, 0, 204, 0, -138, 0, 172, 0, 0, 0, 287, 0, 191, 0, -53, 0, 199, 0, 0, 0, -96, 0, -11, 0, -364, 0, 82, 0, 0, 0, -93, 0, -102, 0, -347, 0, -268, 0, 0, 0, -76, 0, -193, 0, -124, 0, 31, 0, 0, 0, -468, 0, -92, 0, 217, 0, -42, 0, 0, 0, 476, 0, 27, 0], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": true, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "5000.2.a.o", "char_is_minimal": false, "conrey_index": 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, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, -1, -1, 1, -1, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, -1, 0, 0, 1, 0, 1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 2, 0, 0, -1, 1, 1, 1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 0, 0, 2, -1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, 1, 0, 0, -2, 1, -3, 1, -1, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, -1, 0, 0, 0, -1, -1, -2, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -2, 0, 0, 2, -2, 0, 0, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 1, 1, 2, -1, 1, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 1, 0, 0, -2, 0, -1, 0, -1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -2, 2, 0, 0, -2, -1, -2, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -1, 0, -2, 1, 0, 1, -1, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -2, -1, 2, 2, 5, -3, 1, -3, 0, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 1, -1, 0, 0, 1, -2, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 1, 1, 1, -2, -3, 1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, -1, 1, 1, 0, 2, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -3, -1, 0, 2, 0, 1, -2, 1, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, -1, -1, 0, -1, 1, 2, 0, 0, -1, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -1, 2, 1, 2, 2, -1, 1, -2, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -1, -2, -2, -1, 1, -2, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 1, 1, 0, 2, -1, 1, 1, 1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 2, -1, 0, -2, 6, -2, 4, -2, 1, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -2, 1, 3, 3, 2, -3, -1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, -4, -3, -2, -4, 3, 0, 2, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -3, 1, -1, -3, -1, 0, -1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -3, 4, 2, 2, 1, -2, -1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, -7, 1, 1, 4, -1, 0, -1, 1, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-8, 1, 4, -1, -1, -4, 3, -1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 2, -2, 1, -3, 5, -4, 1, -1, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -3, 3, 0, 2, 0, -1, -1, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-10, 1, 8, -1, 1, -5, 2, 6, 4, 2, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, -6, 1, 0, 0, -1, -2, -3, 1, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -1, -1, 3, 0, 2, -1, -3, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 3, 0, 1, -1, 1, 2, 0, -1, 0, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, -1, -1, -2, -3, 3, -3, 2, -1, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-8, 1, 11, -3, -1, -7, 4, 1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}