# Stored data for newform 7500.2.a.m, downloaded from the LMFDB on 19 April 2024. {"label": "7500.2.a.m", "space_label": "7500.2.a", "level": 7500, "weight": 2, "hecke_orbit": 13, "hecke_orbit_code": 54043195562007884, "dim": 12, "is_polredabs": true, "trace_hash": 175279074269869467, "analytic_rank": 1, "is_twist_minimal": false, "hecke_cutters": [[7, [13136, -30272, -6744, 44640, -7175, -19212, 2289, 3768, 10, -300, -24, 8, 1]]], "qexp_display": "q-q^{3}+(-1+\\beta _{7})q^{7}+q^{9}+\\beta _{8}q^{11}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 30000, "fricke_eigenval": 1, "atkin_lehner_string": "-+-", "analytic_conductor": 59.88780151596029, "hecke_ring_index": 125, "level_radical": 30, "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": "0.006", "prec": 17}, "analytic_rank_proved": true, "char_values": [7500, 1, [3751, 2501, 6877], [1, 1, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 1, "level_primes": [2, 3, 5], "conrey_indexes": [1], "field_disc": 10535802568000000000, "field_disc_factorization": [[2, 12], [5, 9], [1316975321, 1]], "field_poly": [-4, 72, 40, -512, -127, 812, 55, -460, 27, 94, -11, -6, 1], "hecke_ring_index_factorization": [[5, 3]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "10.203", "prec": 20}, {"__RealLiteral__": 0, "data": "6.104", "prec": 17}, {"__RealLiteral__": 0, "data": "321.963", "prec": 24}, {"__RealLiteral__": 0, "data": "766.168", "prec": 24}, {"__RealLiteral__": 0, "data": "18115.404", "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], [3, 1], [5, -1]], "trace_display": [0, -12, 0, -8], "traces": [0, 12, 0, -12, 0, 0, 0, -8, 0, 12, 0, 2, 0, 0, 0, 0, 0, -8, 0, 10, 0, 8, 0, -18, 0, 0, 0, -12, 0, 8, 0, -2, 0, -2, 0, 0, 0, -4, 0, 0, 0, 10, 0, -28, 0, 0, 0, -22, 0, 28, 0, 8, 0, -16, 0, 0, 0, -10, 0, -2, 0, 34, 0, -8, 0, 0, 0, -32, 0, 18, 0, 0, 0, -24, 0, 0, 0, -18, 0, 6, 0, 12, 0, -28, 0, 0, 0, -8, 0, 10, 0, 20, 0, 2, 0, 0, 0, -16, 0, 2, 0, 6, 0, -32, 0, 0, 0, -34, 0, 36, 0, 4, 0, -14, 0, 0, 0, 0, 0, -18, 0, 30, 0, -10, 0, 0, 0, -48, 0, 28, 0, -16, 0, 0, 0, 0, 0, -24, 0, 12, 0, 22, 0, -30, 0, 0, 0, -28, 0, -4, 0, 20, 0, -8, 0, 0, 0, -36, 0, 16, 0, -28, 0, -80, 0, 0, 0, -24, 0, 44, 0, 10, 0, -2, 0, 0, 0, 2, 0, -22, 0, 60, 0, -34, 0, 0, 0, -68, 0, 8, 0, -52, 0, -72, 0, 0, 0, -2, 0, 6, 0, 32, 0, -62, 0, 0, 0, -18, 0, -40, 0, 10, 0, 0, 0, 0, 0, -72, 0, 24, 0, -30, 0, -60, 0, 0, 0, -70, 0, 12, 0, 18, 0, -30, 0, 0, 0, -6, 0, -34, 0, 36, 0, -12, 0, 0, 0, -100, 0, 28, 0, -74, 0, 32, 0, 0, 0, -24, 0, -14, 0, 8, 0, -78, 0, 0, 0, -10, 0, -58, 0, -2, 0, -20, 0, 0, 0, 24, 0, -2, 0, -28, 0, -144, 0, 0, 0, -80, 0, 58, 0, 16, 0, -4, 0, 0, 0, -2, 0, -90, 0, -18, 0, -6, 0, 0, 0, -44, 0, 32, 0, -62, 0, -32, 0, 0, 0, 2, 0, -52, 0, 34, 0, -50, 0, 0, 0, -36, 0, -52, 0, -66, 0, -4, 0, 0, 0, -64, 0, 14, 0, -42, 0, -76, 0, 0, 0, -94, 0, 42, 0, 0, 0, -44, 0, 0, 0, 18, 0, -92, 0, 42, 0, -30, 0, 0, 0, -88, 0, 10, 0, -86, 0, -28, 0, 0, 0, -30, 0, 26, 0, 48, 0, -54, 0, 0, 0, -28, 0, -48, 0, -68, 0, 16, 0, 0, 0, 36, 0, 0, 0, -68, 0, -100, 0, 0, 0, -104, 0, 2, 0, 24, 0, -42, 0, 0, 0, -12, 0, -76, 0, 20, 0, -22, 0, 0, 0, -96, 0, 30, 0, -64, 0, -32, 0, 0, 0, -10, 0, -24, 0, 28, 0, -122, 0, 0, 0, 4, 0, -74, 0, 30, 0, -20, 0, 0, 0, -20, 0, 8, 0, -68, 0, -44, 0, 0, 0, -104, 0, 98, 0, 36, 0, -78, 0, 0, 0, -16, 0, -62, 0, 90, 0, 28, 0, 0, 0, -96, 0, 80, 0, -42, 0, 68, 0, 0, 0, -70, 0, -12, 0, 24, 0, -42, 0, 0, 0, -44, 0, -56, 0, 26, 0, -10, 0, 0, 0, 68, 0, 2, 0, -86, 0, -44, 0, 0, 0, -42, 0, 26, 0, -2, 0, -30, 0, 0, 0, 22, 0, -122, 0, 106, 0, -60, 0, 0, 0, -36, 0, 34, 0, -90, 0, -84, 0, 0, 0, 14, 0, 30, 0, 68, 0, -50, 0, 0, 0, -8, 0, -108, 0, -30, 0, 52, 0, 0, 0, -56, 0, 72, 0, -148, 0, 4, 0, 0, 0, -48, 0, 40, 0, 2, 0, -8, 0, 0, 0, -6, 0, -88, 0, 86, 0, -32, 0, 0, 0, -64, 0, 62, 0, -160, 0, 96, 0, 0, 0, -62, 0, 8, 0, 18, 0, -130, 0, 0, 0, 40, 0, -174, 0, -6, 0, -10, 0, 0, 0, 160, 0, 0, 0, -202, 0, 28, 0, 0, 0, -14, 0, 108, 0, 72, 0, 92, 0, 0, 0, -24, 0, -64, 0, -84, 0, 30, 0, 0, 0, -32, 0, 60, 0, -26, 0, 60, 0, 0, 0, 52, 0, -36, 0, 70, 0, -82, 0, 0, 0, -12, 0, -220, 0, 26, 0, -18, 0, 0, 0, -20, 0, 30, 0, -78, 0, -80, 0, 0, 0, 6, 0, 38, 0, 6, 0, 68, 0, 0, 0, 34, 0, 36, 0, 168, 0, -36, 0, 0, 0, 4, 0, 12, 0, 2, 0, 172, 0, 0, 0, -2, 0, 60, 0, 100, 0, -22, 0, 0, 0, -28, 0, -114, 0, -126, 0, 74, 0, 0, 0, 108, 0, -32, 0, -16, 0, -24, 0, 0, 0, -60, 0, -26, 0, 24, 0, 84, 0, 0, 0, 14, 0, -100, 0, 20, 0, -8, 0, 0, 0, -16, 0, 78, 0, 6, 0, 0, 0, 0, 0, 124, 0, -22, 0, 10, 0, -34, 0, 0, 0, 58, 0, -18, 0, 130, 0, 2, 0, 0, 0, 120, 0, 20, 0, -188, 0, -24, 0, 0, 0, -26, 0, 184, 0, -24, 0, 58, 0, 0, 0, 2, 0, -22, 0, -6, 0, 28, 0, 0, 0, -20, 0, 144, 0, 36, 0, 164, 0, 0, 0, 4, 0, 50, 0, 80, 0, 44, 0, 0, 0, -58, 0, -104, 0, -110, 0, -16, 0, 0, 0, 88, 0, 4, 0, -240, 0, -36, 0, 0, 0, 42, 0, 62, 0, 2, 0, 100, 0, 0, 0, 90, 0, 32, 0, 204, 0, 18, 0, 0, 0, -104, 0, 6, 0, -24, 0, -68, 0, 0, 0, 164, 0, -4, 0, 44, 0, 160, 0, 0, 0, -32, 0, -44, 0, 80, 0, 62, 0, 0, 0, 96, 0, 32, 0, -120, 0, -60, 0, 0, 0, 26, 0, -130, 0, -2, 0, -112, 0, 0, 0, 52, 0, -24, 0, 30, 0, -34, 0, 0, 0, -40, 0, 50, 0, 56, 0, 92, 0, 0, 0, -6, 0, 20, 0, 36, 0, 126, 0, 0, 0, 52, 0, -148, 0, 96, 0, 66, 0, 0, 0, 48, 0, 4, 0, -150, 0, 68, 0, 0, 0, 30, 0, 82, 0, 64, 0, 82, 0, 0, 0, -14, 0, 26, 0, 94, 0, 42, 0, 0, 0, 40, 0, 76, 0, 14, 0, -56, 0, 0, 0, 104, 0, -82, 0, 94, 0, -4, 0, 0, 0, -42, 0, -114, 0, 98, 0, 0, 0, 0, 0, 80, 0, 44, 0, -30, 0, -60, 0, 0, 0, 84, 0, 88, 0, -18, 0, 124, 0, 0, 0, 92, 0, -20, 0, 48, 0, -42, 0, 0, 0, -52, 0, 30, 0, -48, 0, 96, 0, 0, 0, 32, 0, 174, 0, 88, 0, 20, 0, 0, 0, -10, 0, -150, 0, -124, 0, 86, 0, 0, 0, 168, 0, 28, 0, -160, 0, -84, 0, 0, 0, -22, 0, -14, 0, 30, 0, 158, 0, 0, 0, -26, 0, 138, 0, 20, 0, -48, 0, 0, 0, 84, 0, 54, 0, 8, 0, 92, 0, 0, 0, 110, 0, 30, 0, 28, 0, -192, 0, 0, 0, 48, 0, -154, 0, 162, 0, 68, 0, 0, 0, -4, 0, -16, 0, -42, 0, -96, 0, 0, 0, -64, 0, 100, 0, -36, 0, -58, 0, 0, 0, 0, 0, 36, 0, -76, 0, 68, 0, 0, 0, 0, 0, 100, 0, 8, 0, 280, 0, 0, 0, -28, 0, 64, 0, 104, 0, -90, 0, 0, 0, -2, 0, -48, 0, 68, 0, -24, 0, 0, 0, 84, 0, 42, 0, -34, 0, 116, 0, 0, 0, -102, 0, 42, 0, 12, 0, 418, 0, 0, 0, 76, 0, 42, 0, 190, 0, -20, 0, 0, 0, 20, 0, 22, 0, 80, 0, 80, 0, 0, 0, 322, 0, 98, 0, 96, 0, -108, 0, 0, 0, -30, 0, -32, 0, 106, 0, 64, 0, 0, 0, 36, 0, 32, 0, -120, 0, -68, 0, 0, 0, 82, 0, 72, 0, 10, 0, 20, 0, 0, 0, 24, 0, -28, 0, 50, 0, -28, 0, 0, 0, -16, 0, 122, 0, 48, 0, 228, 0, 0, 0, 138, 0, 90, 0, -4, 0, 36, 0, 0, 0, 74, 0, -50, 0, 128, 0, -30, 0, 0, 0, 248, 0, 20, 0, -198, 0, 172, 0, 0, 0, 14, 0, 214, 0, 20, 0, 62, 0, 0, 0, -8, 0, 38, 0, 14, 0, 68, 0, 0, 0, 40, 0, 44, 0, 50, 0, 176, 0, 0, 0, 292, 0, -52, 0, 104, 0, 14, 0, 0, 0, -98, 0, -310, 0, -28, 0, -36, 0, 0, 0, -20, 0, 78, 0, -108, 0, 128, 0, 0, 0, 40, 0, 68, 0, 16, 0, 44, 0, 0, 0, 62, 0, 44, 0, 44, 0, -90, 0, 0, 0, 104, 0, -28, 0, -40, 0, 12, 0, 0, 0, 42, 0, 120, 0, 96, 0, 230, 0, 0, 0, -80, 0, -60, 0, 40, 0, 42, 0, 0, 0, 180, 0, -68, 0, 46, 0, 196, 0, 0, 0, 38, 0, 30, 0, 70, 0, 422, 0, 0, 0, 12, 0, 114, 0, -40, 0, -24, 0, 0, 0, -24, 0, 42, 0, 154, 0, 60, 0, 0, 0, 270, 0, -88, 0, 44, 0, -22, 0, 0, 0, 56, 0, -68, 0, 266, 0, -26, 0, 0, 0, 36, 0, 10, 0, 28, 0, -16, 0, 0, 0, 10, 0, 86, 0, -68, 0, -62, 0, 0, 0, -2, 0, 146, 0, 100, 0, 86, 0, 0, 0, 140, 0, 44, 0, -78, 0, 280, 0, 0, 0, 70, 0, 50, 0, 42, 0, 26, 0, 0, 0, -26, 0, 60, 0, -14, 0, 2, 0, 0, 0, 136, 0, 30, 0, -36, 0, 32, 0, 0, 0, 4, 0, 26, 0, -22, 0, 356, 0, 0, 0, 122, 0, -136, 0, -16, 0, -106, 0, 0, 0, -8, 0, 60, 0, -40, 0, 80, 0, 0, 0, 190, 0, 86, 0, 36, 0, 146, 0, 0, 0, -34, 0, -246, 0, -10, 0, 90, 0, 0, 0, 28, 0, 84, 0, -250, 0, -228, 0, 0, 0, -26, 0, 54, 0, -14, 0, 286, 0, 0, 0, -30, 0, 96, 0, 18, 0, -68, 0, 0, 0, 76, 0, 50, 0, -20, 0, 80, 0, 0, 0, 62, 0, 96, 0, 8, 0, 10, 0, 0, 0, 108, 0, -126, 0, 32, 0, 30, 0, 0, 0, 196, 0, -52, 0, 96, 0, -148, 0, 0, 0, 54, 0, 20, 0, 56, 0, 294, 0, 0, 0, -72, 0, -36, 0, 52, 0, 148, 0, 0, 0, -12, 0, -4, 0, -62, 0, 248, 0, 0, 0, 346, 0, -228, 0, 48, 0, 90, 0, 0, 0, -40, 0, -34, 0, 62, 0, -2, 0, 0, 0, 200, 0, 8, 0, -120, 0, -96, 0, 0, 0, -22, 0, -60, 0, 6, 0, -110, 0, 0, 0, 88, 0, 16, 0, 136, 0, -86, 0, 0, 0, 100, 0, 32, 0, 184, 0, 64, 0, 0, 0, 6, 0, 146, 0, 64, 0, 18, 0, 0, 0, -62, 0, -198, 0, -326, 0, 160, 0, 0, 0, 176, 0, -96, 0, -178, 0, -20, 0, 0, 0, 148, 0, 96, 0, 62, 0, 256, 0, 0, 0, -8, 0, -36, 0, -16, 0, -18, 0, 0, 0, 8, 0, 130, 0, -154, 0, -92, 0, 0, 0, 82, 0, -148, 0, -40, 0, 52, 0, 0, 0, 174, 0, -52, 0, 6, 0, 6, 0, 0, 0, 68, 0, 10, 0, -108, 0, 108, 0, 0, 0, -84, 0, 202, 0, -160, 0, -100, 0, 0, 0, 0, 0, 30, 0, -94, 0, 202, 0, 0, 0, 0, 0, -28, 0, 22, 0, -4, 0, 0, 0, 110, 0, -96, 0, 14, 0, -198, 0, 0, 0, -108, 0, -118, 0, 30, 0, -72, 0, 0, 0, 100, 0, -92, 0, -148, 0, 180, 0, 0, 0, -38, 0, -132, 0, 24, 0, 100, 0, 0, 0, 64, 0, 118, 0, 96, 0, 84, 0, 0, 0, -28, 0, -30, 0, -10, 0, 116, 0, 0, 0, 114, 0, -24, 0, 32, 0, 112, 0, 0, 0, -60, 0, 0, 0, 12, 0, 26, 0, 0, 0, -104, 0, -60, 0, 28, 0, 148, 0, 0, 0, -32, 0, -30, 0, -52, 0, -170, 0, 0, 0, 36, 0, -112, 0, -10, 0, -70, 0, 0, 0, -80, 0, 82, 0, 156, 0, -76, 0, 0, 0, 100, 0, 30, 0, 12, 0, -102, 0, 0, 0, 220, 0, -150, 0, -100, 0, -26, 0, 0, 0, 152, 0, 18, 0, -280, 0, 100, 0, 0, 0, -42, 0, 56, 0, 20, 0, 170, 0, 0, 0, -30, 0, -78, 0, -32, 0, 78, 0, 0, 0, -12, 0, 80, 0, -14, 0, 220, 0, 0, 0, 324, 0, -140, 0, -6, 0, -202, 0, 0, 0, -38, 0, -198, 0, -80, 0, -6, 0, 0, 0, 36, 0, -68, 0, -242, 0, 128, 0, 0, 0, -10, 0, -14, 0, -34, 0, -16, 0, 0, 0, -36, 0, -88, 0, -12, 0, -168, 0, 0, 0, -92, 0, 36, 0, 130, 0, 180, 0, 0, 0, -52, 0, 88, 0, -4, 0, -86, 0, 0, 0, -12, 0, -244, 0, -322, 0, -2, 0, 0, 0, 120, 0, -172, 0, -110, 0, -116, 0, 0, 0, -140, 0, -132, 0, 2, 0, 146, 0, 0, 0, -60, 0, 212, 0, -62, 0, -100, 0, 0, 0, -56, 0, 22, 0, 184, 0, 108, 0, 0, 0, 2, 0, -22, 0, 28, 0, 80, 0, 0, 0, 114, 0, 40, 0, -184, 0, 126, 0, 0, 0, 12, 0, -74, 0, 70, 0, -76, 0, 0, 0, 2, 0, -44, 0, -108, 0, -58, 0, 0, 0, 32, 0, 14, 0, -76, 0, 16, 0, 0, 0, 16, 0, 24, 0, 174, 0, -92, 0, 0, 0, -130, 0, -210, 0, 60, 0, -258, 0, 0, 0, 26, 0, 116, 0, 4, 0, -24, 0, 0, 0, -36, 0, -84, 0, -280, 0, 116, 0, 0, 0, 40, 0, 46, 0, -14, 0, 318, 0, 0, 0, 100, 0, 104, 0, 134, 0, -20, 0, 0, 0, 108, 0, 8, 0, 260, 0, 40, 0, 0, 0, 46, 0, 46, 0, 16, 0, -28, 0, 0, 0, -78, 0, -222, 0, -80, 0, -6, 0, 0, 0, -8, 0, 0, 0, -178, 0, -64, 0, 0, 0, 308, 0, -140, 0, -124, 0, 164, 0, 0, 0, 22, 0, 124, 0, -12, 0, -10, 0, 0, 0, -12, 0, 34, 0, -134, 0, -120, 0, 0, 0, -110, 0, 30, 0, -58, 0, 244, 0, 0, 0, 18, 0, -44, 0, 10, 0, -130, 0, 0, 0, 16, 0, -2, 0, 8, 0, -368, 0, 0, 0, -70, 0, 54, 0, -120, 0, -170, 0, 0, 0, -20, 0, 144, 0, -24, 0, 188, 0, 0, 0, -20, 0, 24, 0, 206, 0, -160, 0, 0, 0, -6, 0, -366, 0, 26, 0, 290, 0, 0, 0, -184, 0, -190, 0, 86, 0, 24, 0, 0, 0, 0, 0, -58, 0, -190, 0, 256, 0, 0, 0, -114, 0, -240, 0, -2, 0, -142, 0, 0, 0, 22, 0, 252, 0, 110, 0, 6, 0, 0, 0, -48, 0, -28, 0, -20, 0, -64, 0, 0, 0, -292, 0, 142, 0, 20, 0, -142, 0, 0, 0, -144, 0, -86, 0, -256, 0, -36, 0, 0, 0, 20, 0, -164, 0, -80, 0, -140, 0, 0, 0, 160, 0, -138, 0, -4, 0, 278, 0, 0, 0, -50, 0, -2, 0, -160, 0, -80, 0, 0, 0, -160, 0, -44, 0, 236, 0, -244, 0, 0, 0, 46, 0, -64, 0, 58, 0, 100, 0, 0, 0, 104, 0, -240, 0, 62, 0, 110, 0, 0, 0, 40, 0, 16, 0, -242, 0, -236, 0, 0, 0, -120, 0, -54, 0, -88, 0, -178, 0, 0, 0, -4, 0, 330, 0, -280, 0, 240, 0, 0, 0, -148, 0, 36, 0, 126, 0, 176, 0, 0, 0, -206, 0, -142, 0, -42, 0, -206, 0, 0, 0, -62, 0, -276, 0, -124, 0, -2, 0, 0, 0, -152, 0, -100, 0, 166, 0, -156, 0, 0, 0, -54, 0, -102, 0, -90, 0, -212, 0, 0, 0, -32, 0, 170, 0, 38, 0, -204, 0, 0, 0, 104, 0, -18, 0, 30, 0, -116, 0, 0, 0, -210, 0, 40, 0, 104, 0, -158, 0, 0, 0, -6, 0, 138, 0, -46, 0, 24, 0, 0, 0, -188, 0, 68, 0, -46, 0, 200, 0, 0, 0, -370, 0, 46, 0, -164, 0, 80, 0, 0, 0, 4, 0, 320, 0, 6, 0, -44, 0, 0, 0, -124, 0, -160, 0, 190, 0, -48, 0, 0, 0, 40, 0, -24, 0, 32, 0, -440, 0, 0, 0, 44, 0, -82, 0, 148, 0, -80, 0, 0, 0, -4, 0, -62, 0, -174, 0, -204, 0, 0, 0, 102, 0, 162, 0, -96, 0, -54, 0, 0, 0, -32, 0, 232, 0, -140, 0, 120, 0, 0, 0, 136, 0, 60, 0, 90, 0, 96, 0, 0, 0, 278, 0, -424, 0, -26, 0, -142, 0, 0, 0, 130, 0, -204, 0, 90, 0, 2, 0, 0, 0, -200, 0, 112, 0, -230, 0, 212, 0, 0, 0, -154, 0, 80, 0, -52, 0, -596, 0, 0, 0, 24, 0, 168, 0, 68, 0, -30, 0, 0, 0, 104, 0, 34, 0, -68, 0, 232, 0, 0, 0, 94, 0, 130, 0, 40, 0, 34, 0, 0, 0, -50, 0, -138, 0, -400, 0, -56, 0, 0, 0, -72, 0, -92, 0, 92, 0, 108, 0, 0, 0, -322, 0, -156, 0, 6, 0, -206, 0, 0, 0, -20, 0, 4, 0, -112, 0, -36, 0, 0, 0, -40, 0, -126, 0, 160, 0, -312, 0, 0, 0, -144, 0, -48, 0, -52, 0, 166, 0, 0, 0, 148, 0, 376, 0, 330, 0, -96, 0, 0, 0, -40, 0, -66, 0, 388, 0, 160, 0, 0, 0, -218, 0, 326, 0, -48, 0, 90, 0, 0, 0, -4, 0, 210, 0, -34], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": false, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "300.2.o.a", "char_is_minimal": true, "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], [-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, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 1, 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, 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, -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], [-1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, -1, 0, 0, -1, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, 1, 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, -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, -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], [1, 1, 0, 0, 1, 1, 0, 0, 0, 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, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, 2, -1, -1, -1, 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], [-1, 0, 0, 1, 1, -1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, 0, 0, 0, 0, -1, -2, -1, 1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, -1, -1, 0, -3, 0, 0, -1, 0, 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], [-1, 0, -1, 0, 0, 1, 0, 0, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 2, -1, 0, -2, 2, -1, 0, 2, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -1, -1, 0, 0, -1, -1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 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], [-3, -2, 0, -1, 1, -1, 0, 0, -1, -1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, -1, 1, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -1, 1, 3, -1, -2, -2, -1, 0, -1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 1, 0, 2, -1, 0, 0, 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, 0], [1, 0, 2, 0, 4, -1, 1, -1, -2, -2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 2, 1, 0, 0, 1, 1, 0, 0, -1, 0, 1], [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], [-2, 0, 1, -1, -1, 0, 0, -2, -1, -1, 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, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2, 1, -2, -1, -1, 1, -2, -1, -2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, -1, -2, 3, 2, 1, -2, 1, -1, 2, 1, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 1, 0, 0, -1, 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], [1, -2, 0, 1, 3, -1, -2, -2, -1, 0, -1, -1], [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]]}