# Stored data for newform 5070.2.b.r, downloaded from the LMFDB on 25 April 2024. {"label": "5070.2.b.r", "space_label": "5070.2.b", "level": 5070, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561262418334670, "dim": 4, "is_polredabs": true, "nf_label": "4.0.4624.1", "trace_hash": 1139945011865163800, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[7, [4, 0, 13, 0, 1]], [11, [17, 0, 1]], [17, [-16, 2, 1]], [31, [1444, 0, 77, 0, 1]]], "qexp_display": "q+\\beta _{2}q^{2}+q^{3}-q^{4}+\\beta _{2}q^{5}+\\beta _{2}q^{6}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 13, "char_orbit_label": "b", "char_is_real": true, "Nk2": 20280, "analytic_conductor": 40.48415382478915, "hecke_ring_index": 1, "level_radical": 390, "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": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.515", "prec": 17}, "analytic_rank_proved": true, "char_values": [5070, 2, [1691, 4057, 1861], [2, 2, 1]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 3, 5, 13], "conrey_indexes": [1351], "field_disc": 4624, "field_disc_factorization": [[2, 4], [17, 2]], "field_poly": [16, 0, 9, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "3.879", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "71.166", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1807.620", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 4, "sato_tate_group": "1.2.3.c2", "trace_display": [0, 4, 0, 0], "traces": [0, 4, 0, 4, -4, 0, 0, 0, 0, 4, -4, 0, -4, 0, 6, 0, 4, -4, 0, 0, 0, 0, 0, 6, 0, -4, 0, 4, 0, 18, -4, 0, 0, 0, 0, 6, -4, 0, 6, 0, 4, 0, 6, -10, 0, 0, 0, 0, 4, 2, 0, -4, 0, 26, 0, 0, -6, 0, 0, 0, 0, 24, 2, 0, -4, 0, 0, 0, 4, 6, 0, 0, 0, 0, 0, -4, 0, 34, 0, 38, 0, 4, -16, 0, 0, 0, 0, 18, 0, 0, -4, 0, -6, 0, 28, 6, 0, 0, 0, 0, 4, 52, 0, -10, 0, 6, 0, 8, -4, 0, 0, 0, 0, 10, 6, 0, -18, 0, 34, 0, 4, -24, 0, 0, 0, 0, 6, 26, 0, -10, 0, 8, 0, -26, -24, 0, 0, 0, 0, 42, -6, 0, 36, 0, 4, 0, -12, 2, 0, 0, 0, 0, -6, -4, 0, 2, 0, 72, 0, 26, -4, 0, 0, 0, 0, 0, 12, 0, -6, 0, 4, 0, 10, 10, 0, 0, 0, 0, -34, 26, 0, -28, 0, 24, 0, 0, 2, 0, 0, 0, 0, 60, -4, 0, 12, 0, -2, 0, 0, -28, 0, 0, 0, 0, 4, -16, 0, 6, 0, 34, 0, -30, -26, 0, 0, 0, 0, 48, 48, 0, 0, 0, 0, 0, 6, -4, 0, 0, 0, 0, -6, 34, 0, 46, 0, 28, 0, 38, -40, 0, 0, 0, 0, 4, -24, 0, -16, 0, -2, 0, 4, 16, 0, 0, 0, 0, 4, 14, 0, -34, 0, 18, 0, -52, 0, 0, 0, 0, 0, 36, -4, 0, -4, 0, 6, 0, -6, 4, 0, 0, 0, 0, 28, -54, 0, 6, 0, -44, 0, 4, -18, 0, 0, 0, 0, 34, 0, 0, 50, 0, 4, 0, -12, 52, 0, 0, 0, 0, -34, -10, 0, -24, 0, 76, 0, 6, -38, 0, 0, 0, 0, 8, 60, 0, -4, 0, -66, 0, 16, -42, 0, 0, 0, 0, -32, -24, 0, 24, 0, 10, 0, -102, 6, 0, 0, 0, 0, 20, -18, 0, -6, 0, 0, 0, 34, 36, 0, 0, 0, 0, 4, 50, 0, -24, 0, -12, 0, -16, 6, 0, 0, 0, 0, -62, 68, 0, -28, 0, 6, 0, -6, 26, 0, 0, 0, 0, 0, -10, 0, -2, 0, -108, 0, 8, -10, 0, 0, 0, 0, -26, -4, 0, -24, 0, -52, 0, 44, 68, 0, 0, 0, 0, 10, -68, 0, 12, 0, 42, 0, 64, -6, 0, 0, 0, 0, 4, 36, 0, -8, 0, 10, 0, 4, -24, 0, 0, 0, 0, -12, -84, 0, 2, 0, -36, 0, -34, -2, 0, 0, 0, 0, 136, -10, 0, 80, 0, -6, 0, -64, -4, 0, 0, 0, 0, 18, 2, 0, -44, 0, 104, 0, 72, -34, 0, 0, 0, 0, 26, -4, 0, -4, 0, -96, 0, 24, 12, 0, 0, 0, 0, -2, 78, 0, -52, 0, 0, 0, -20, 12, 0, 0, 0, 0, -98, -6, 0, -102, 0, -26, 0, 4, 120, 0, 0, 0, 0, 10, 0, 0, 10, 0, -50, 0, -78, -8, 0, 0, 0, 0, 70, -26, 0, 26, 0, -34, 0, 24, 26, 0, 0, 0, 0, 38, -28, 0, 48, 0, 60, 0, 24, 0, 0, 0, 0, 0, 0, -42, 0, 2, 0, 6, 0, 32, 0, 0, 0, 0, 0, -36, -14, 0, -70, 0, 60, 0, -6, -4, 0, 0, 0, 0, 16, 12, 0, 12, 0, -42, 0, -2, 48, 0, 0, 0, 0, 0, -40, 0, -28, 0, -56, 0, -12, -32, 0, 0, 0, 0, 6, 6, 0, -24, 0, 4, 0, 20, -16, 0, 0, 0, 0, -2, 6, 0, -34, 0, 4, 0, 34, -72, 0, 0, 0, 0, -30, 58, 0, -26, 0, -34, 0, 4, 54, 0, 0, 0, 0, -40, -66, 0, 34, 0, 48, 0, -170, 48, 0, 0, 0, 0, 50, 0, 0, -24, 0, -12, 0, 0, 78, 0, 0, 0, 0, 6, -136, 0, -4, 0, -132, 0, 16, -4, 0, 0, 0, 0, 6, -6, 0, -10, 0, -6, 0, -10, 34, 0, 0, 0, 0, -32, 46, 0, 38, 0, -34, 0, 28, -12, 0, 0, 0, 0, 38, 34, 0, -40, 0, -26, 0, 36, -48, 0, 0, 0, 0, 28, -18, 0, -30, 0, 4, 0, 44, -24, 0, 0, 0, 0, -136, -16, 0, 0, 0, 22, 0, -2, 50, 0, 0, 0, 0, 4, 54, 0, 16, 0, -12, 0, 10, 46, 0, 0, 0, 0, -140, -60, 0, -42, 0, 4, 0, -34, 14, 0, 0, 0, 0, -12, -34, 0, -44, 0, -68, 0, 18, 2, 0, 0, 0, 0, -52, -38, 0, 0, 0, -64, 0, 28, -36, 0, 0, 0, 0, 26, -204, 0, 60, 0, 36, 0, 8, -4, 0, 0, 0, 0, -66, -4, 0, 34, 0, 16, 0, 6, 54, 0, 0, 0, 0, -6, -132, 0, 4, 0, 100, 0, -32, -34, 0, 0, 0, 0, -18, 64, 0, 30, 0, 28, 0, 26, -54, 0, 0, 0, 0, 36, 6, 0, 66, 0, -14, 0, -44, -8, 0, 0, 0, 0, 4, -48, 0, -18, 0, -48, 0, 60, -6, 0, 0, 0, 0, 0, 90, 0, -14, 0, 34, 0, 16, 0, 0, 0, 0, 0, -42, 50, 0, -6, 0, 10, 0, 4, 8, 0, 0, 0, 0, -12, 26, 0, 52, 0, -124, 0, -68, -48, 0, 0, 0, 0, 116, 6, 0, 46, 0, -34, 0, 52, -10, 0, 0, 0, 0, -46, -24, 0, 68, 0, 48, 0, 76, -28, 0, 0, 0, 0, 6, 34, 0, -38, 0, -6, 0, 40, -114, 0, 0, 0, 0, -120, 76, 0, -30, 0, 8, 0, 0, 60, 0, 0, 0, 0, -42, -4, 0, 22, 0, 24, 0, -66, 170, 0, 0, 0, 0, 16, -10, 0, -42, 0, -66, 0, 74, 2, 0, 0, 0, 0, -10, -16, 0, -4, 0, -32, 0, -16, -24, 0, 0, 0, 0, -52, 24, 0, 176, 0, 44, 0, 10, -22, 0, 0, 0, 0, -102, -4, 0, 6, 0, -14, 0, 10, -44, 0, 0, 0, 0, 34, -24, 0, -38, 0, 20, 0, -160, -18, 0, 0, 0, 0, -38, -6, 0, 52, 0, 100, 0, 0, -84, 0, 0, 0, 0, 34, 40, 0, 36, 0, -68, 0, -168, -8, 0, 0, 0, 0, 10, -36, 0, 102, 0, 4, 0, -60, 50, 0, 0, 0, 0, 4, -24, 0, 88, 0, -60, 0, -12, -6, 0, 0, 0, 0, -16, 44, 0, 6, 0, 40, 0, -4, -34, 0, 0, 0, 0, -26, -2, 0, -148, 0, -62, 0, -68, 68, 0, 0, 0, 0, -150, -28, 0, -10, 0, 54, 0, 6, 80, 0, 0, 0, 0, -6, 116, 0, 26, 0, -64, 0, 102, 44, 0, 0, 0, 0, -88, 64, 0, -4, 0, 0, 0, 18, -10, 0, 0, 0, 0, 34, -2, 0, 150, 0, -126, 0, -108, 128, 0, 0, 0, 0, 8, -34, 0, -10, 0, 0, 0, 42, 68, 0, 0, 0, 0, -50, -144, 0, -4, 0, -26, 0, 136, -4, 0, 0, 0, 0, -96, -24, 0, 12, 0, 24, 0, -52, -124, 0, 0, 0, 0, 44, -12, 0, 68, 0, 42, 0, -2, -96, 0, 0, 0, 0, 10, 34, 0, 142, 0, 10, 0, -74, -68, 0, 0, 0, 0, 24, 12, 0, -62, 0, 22, 0, 42, -76, 0, 0, 0, 0, 64, -68, 0, -6, 0, -88, 0, 38, -102, 0, 0, 0, 0, -26, 212, 0, 104, 0, 4, 0, -148, 36, 0, 0, 0, 0, -188, -8, 0, -120, 0, -60, 0, 10, 82, 0, 0, 0, 0, 4, 160, 0, -24, 0, 2, 0, 78, 66, 0, 0, 0, 0, -136, -8, 0, -16, 0, -12, 0, 42, -84, 0, 0, 0, 0, 36, 2, 0, -26, 0, -180, 0, -36, 26, 0, 0, 0, 0, -34, 32, 0, -2, 0, 24, 0, 0, -4, 0, 0, 0, 0, -24, -20, 0, 0, 0, 136, 0, 38, -10, 0, 0, 0, 0, 94, 80, 0, 102, 0, 52, 0, -6, 80, 0, 0, 0, 0, -64, 0, 0, -4, 0, -70, 0, 40, 74, 0, 0, 0, 0, 120, -20, 0, -42, 0, 18, 0, -120, 2, 0, 0, 0, 0, 6, -44, 0, 36, 0, 32, 0, 104, 0, 0, 0, 0, 0, 72, 112, 0, -34, 0, 104, 0, -36, -42, 0, 0, 0, 0, -150, 0, 0, -204, 0, 26, 0, -58, -4, 0, 0, 0, 0, 68, -4, 0, 2, 0, -50, 0, -96, 84, 0, 0, 0, 0, 24, 28, 0, 12, 0, -14, 0, -58, 12, 0, 0, 0, 0, -42, -138, 0, 16, 0, -2, 0, -6, 78, 0, 0, 0, 0, 30, -52, 0, 206, 0, -66, 0, 0, 38, 0, 0, 0, 0, -20, 62, 0, 12, 0, -68, 0, 12, -154, 0, 0, 0, 0, 28, -32, 0, -170, 0, -98, 0, 132, -6, 0, 0, 0, 0, -136, -102, 0, 6, 0, -14, 0, -26, -24, 0, 0, 0, 0, 4, 76, 0, 120, 0, 20, 0, 100, 158, 0, 0, 0, 0, -198, 0, 0, -6, 0, 10, 0, -2, 0, 0, 0, 0, 0, 2, 10, 0, -164, 0, -218, 0, -50, 108, 0, 0, 0, 0, -78, -72, 0, -8, 0, 150, 0, 10, 16, 0, 0, 0, 0, -36, 32, 0, 58, 0, 70, 0, -120, -26, 0, 0, 0, 0, -34, 26, 0, -28, 0, 4, 0, -34, 28, 0, 0, 0, 0, 24, -78, 0, 26, 0, 126, 0, -40, 52, 0, 0, 0, 0, 140, -50, 0, -44, 0, 38, 0, -68, -28, 0, 0, 0, 0, -32, 48, 0, -58, 0, 170, 0, 60, 42, 0, 0, 0, 0, 24, -10, 0, 0, 0, 68, 0, -80, -24, 0, 0, 0, 0, -12, 204, 0, -18, 0, 0, 0, 12, -42, 0, 0, 0, 0, 108, 2, 0, -64, 0, 48, 0, 6, -172, 0, 0, 0, 0, 32, 110, 0, 0, 0, -34, 0, 88, -36, 0, 0, 0, 0, 68, -4, 0, 102, 0, -36, 0, -98, -14, 0, 0, 0, 0, 8, -70, 0, -6, 0, -120, 0, 60, -10, 0, 0, 0, 0, -6, -18, 0, -4, 0, -10, 0, 24, -20, 0, 0, 0, 0, 34, 0, 0, -68, 0, 16, 0, -32, 12, 0, 0, 0, 0, -24, 12, 0, -42, 0, 84, 0, -42, 146, 0, 0, 0, 0, -2, -12, 0, 48, 0, 108, 0, 204, 36, 0, 0, 0, 0, -144, 22, 0, 34, 0, 0, 0, 2, -40, 0, 0, 0, 0, -26, -28, 0, -34, 0, 36, 0, -56, -42, 0, 0, 0, 0, -12, -136, 0, -32, 0, 10, 0, 28, 238, 0, 0, 0, 0, -80, 6, 0, -8, 0, 6, 0, 174, 6, 0, 0, 0, 0, 34, -24, 0, 64, 0, 46, 0, 4, -204, 0, 0, 0, 0, 20, 16, 0, -16, 0, -82, 0, -130, 0, 0, 0, 0, 0, 22, -18, 0, 84, 0, -2, 0, -48, 6, 0, 0, 0, 0, 44, -34, 0, 92, 0, 44, 0, 4, -104, 0, 0, 0, 0, 34, 52, 0, -72, 0, 180, 0, 34, -78, 0, 0, 0, 0, -60, 46, 0, -244, 0, -30, 0, -138, 58, 0, 0, 0, 0, -36, -26, 0, -60, 0, 4, 0, -34, -42, 0, 0, 0, 0, 4, 92, 0, 54, 0, -34, 0, 112, 96, 0, 0, 0, 0, -32, -38, 0, -24, 0, -40, 0, -12, -66, 0, 0, 0, 0, 46, 34, 0, -158, 0, -174, 0, 48, 86, 0, 0, 0, 0, -170, 2, 0, 48, 0, -78, 0, 112, 20, 0, 0, 0, 0, 52, -302, 0, -38, 0, 50, 0, 106, 0, 0, 0, 0, 0, -64, -24, 0, 20, 0, 28, 0, -12, -212, 0, 0, 0, 0, 0, 78, 0, 78, 0, 188, 0, 26, -68, 0, 0, 0, 0, 72, 98, 0, 22, 0, 6, 0, -96, -136, 0, 0, 0, 0, 102, -4, 0, -148, 0, -156, 0, -132, 26, 0, 0, 0, 0, 16, -64, 0, -4, 0, -108, 0, -120, 34, 0, 0, 0, 0, 16, 182, 0, -182, 0, 6, 0, 24, -6, 0, 0, 0, 0, 44, -10, 0, -40, 0, 0, 0, -6, -140, 0, 0, 0, 0, -10, -192, 0, 34, 0, 6, 0, -10, 50, 0, 0, 0, 0, -10, -34, 0, 78, 0, -32, 0, 8, 46, 0, 0, 0, 0, 164, 38, 0, 64, 0, 46, 0, -34, 30, 0, 0, 0, 0, 28, -70, 0, -12, 0, 26, 0, -60, 0, 0, 0, 0, 0, -26, 88, 0, 16, 0, 38, 0, 36, 34, 0, 0, 0, 0, 162, -40, 0, -24, 0, 34, 0, -26, 140, 0, 0, 0, 0, 36, -8, 0, -48, 0, 8, 0, 142, 42, 0, 0, 0, 0, 170, -38, 0, -48, 0, 28, 0, 24, -18, 0, 0, 0, 0, -48, -30, 0, -34, 0, 60, 0, 4, -60, 0, 0, 0, 0, 44, 6, 0, -24, 0, 142, 0, 0, -120, 0, 0, 0, 0, 80, 68, 0, -8, 0, -136, 0, 164, -16, 0, 0, 0, 0, -2, 0, 0, -68, 0, 42, 0, 22, -76, 0, 0, 0, 0, -2, 204, 0, 50, 0, -22, 0, -46, -6, 0, 0, 0, 0, 10, -166, 0, -32, 0, 4, 0, 0, 54, 0, 0, 0, 0, 64, 16, 0, 128, 0, -300, 0, -12, -34, 0, 0, 0, 0, 10, 36, 0, 46, 0, 14, 0, 160, -48, 0, 0, 0, 0, 70, -48, 0, -18, 0, -140, 0, 154, -60, 0, 0, 0, 0, 60, -42, 0, 6, 0, -44, 0, 4, 46, 0, 0, 0, 0, -34, 82, 0, 14, 0, 52, 0, -168, 36, 0, 0, 0, 0, 180, -16, 0, 4, 0, -12, 0, -46, -34, 0, 0, 0, 0, -12, -44, 0, -72, 0, 60, 0, -68, 42, 0, 0, 0, 0, 18, -28, 0, 2, 0, 0, 0, -48, 42, 0, 0, 0, 0, 138, -8, 0, 34, 0, -52, 0, 36, -38, 0, 0, 0, 0, -6, 0, 0, -4, 0, 40, 0, -64, -10, 0, 0, 0, 0, 28, -108, 0, -36, 0, 170, 0, -120, 56, 0, 0, 0, 0, -28, -86, 0, 12, 0, 26, 0, 32, -204, 0, 0, 0, 0, 32, 60, 0, 82, 0, 68, 0, 36, 202, 0, 0, 0, 0, 8, -6, 0, -4, 0, -6, 0, -78, 22, 0, 0, 0, 0, 24, -42, 0, 184, 0, -66, 0, 126, -4, 0, 0, 0, 0, 442, 34, 0, -20, 0, 8, 0, 16, 12, 0, 0, 0, 0, 6, -284, 0, 54, 0, 256, 0, 284, -136, 0, 0, 0, 0, 136, 2, 0, 216, 0, -6, 0, 102, -132, 0, 0, 0, 0, 34, 4, 0, -16, 0, 0, 0, 100, -4, 0, 0, 0, 0, -32, -12, 0, -34, 0, -16, 0, 72, -20, 0, 0, 0, 0, 14, 136, 0, 198, 0, -18, 0, -52, 64, 0, 0, 0, 0, 176, 30, 0, -76, 0, -58, 0, 28, 178, 0, 0, 0, 0, 26, -22, 0, -54, 0, 4, 0, 134, 34, 0, 0, 0, 0, 232, 80, 0, -4, 0, 36, 0, -54, 6, 0, 0, 0, 0, -14, 66, 0, -108, 0, 10, 0, -14, 74, 0, 0, 0, 0, -44, 40, 0, -8, 0, 66, 0, 34, 0, 0, 0, 0, 0, -34, 64, 0, -138, 0, 4, 0, 76, -48, 0, 0, 0, 0, -70, -18, 0, 170, 0, 180, 0, -48, -192, 0, 0, 0, 0, 60, -60, 0, -6, 0, 68, 0, -204, 52, 0, 0, 0, 0, 100, -50, 0, 24, 0, 0, 0, 12, 90, 0, 0, 0, 0, 24, -14, 0, 68, 0, -18, 0, 34, 12, 0, 0, 0, 0, 16, 0, 0, 0, 0, 46, 0, -78, -140, 0, 0, 0, 0, 124, -8, 0, -306, 0, -42, 0, 148, 50, 0, 0, 0, 0, 200, -6, 0, -36, 0, 136, 0, 10, 102, 0, 0, 0, 0, 4, 204, 0, 8, 0, -60, 0, -58, 132, 0, 0, 0, 0, -8, 102, 0, -16, 0, -12, 0, 4, 26, 0, 0, 0, 0, 126, 52, 0, 20, 0, -100, 0, -124, -46, 0, 0, 0, 0, -68, -6, 0, -48, 0, 6, 0, 86, 176, 0, 0, 0, 0, 10, -30, 0, 44, 0, 116, 0, 272, 6, 0, 0, 0, 0, 40, 46, 0, 10, 0, -4, 0, -34, -238, 0, 0, 0, 0, 52, 62, 0, -10, 0, -36, 0, -26, -76, 0, 0, 0, 0, 110, 32, 0, 34, 0, -46, 0, 60, -24, 0, 0, 0, 0, -38, 68, 0, -90, 0, -26, 0, 48, 34, 0, 0, 0, 0, 76, 54, 0, -28, 0, 56, 0, 12, -10, 0, 0, 0, 0, 54, -160, 0, 136, 0, 6, 0, 6, 34, 0, 0, 0, 0, -52, -38, 0, -224, 0, -34, 0, -6, -158, 0, 0, 0, 0, 40, -156, 0, -114, 0, 106, 0, 34, 26, 0, 0, 0, 0, -84, 44, 0, -36, 0, -120, 0, 48, 76, 0, 0, 0, 0, -68, -30, 0, 64, 0, 62, 0, 8, -4, 0, 0, 0, 0, 0, -28, 0, 60, 0, 18, 0, -48, -96, 0, 0, 0, 0, 30, 16, 0, 280, 0, -42, 0, 34, -4, 0, 0, 0, 0, -12, 22, 0, -44, 0, 102, 0, 24, 268, 0, 0, 0, 0, -66, 128, 0, 170, 0, 96, 0, -384, 184, 0, 0, 0, 0, 40, 136, 0, -34, 0, 16, 0, 74, -10, 0, 0, 0, 0, 0, -42, 0, -192, 0, 42, 0, -66, -22, 0, 0, 0, 0, 74, 34, 0, 2, 0, 194, 0, -50, 374, 0, 0, 0, 0, 16, -28, 0, 12, 0, -10, 0, 360, -16, 0, 0, 0, 0, -116, -4], "weight_parity": 1, "has_non_self_twist": 1, "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], [1, 1, 13, 2, 1, 2, 0]], "char_orbit_index": 2, "prim_orbit_index": 2, "minimal_twist": "390.2.i.g", "char_is_minimal": false, "conrey_index": 1351, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0], [1, 0, 0, 0], [0, 0, 1, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [0, 0, 1, 0], [0, 0, 1, 0], [0, 1, -1, 0], [0, 0, -1, 0], [1, 0, 0, 0], [-1, 0, 0, 0], [0, -2, -1, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [2, 0, 0, -1], [0, 0, 1, 0], [1, 0, 0, 0], [-2, 0, 0, 2], [0, 0, 1, 0], [0, 1, -1, 0], [0, 0, -1, 0], [0, 1, -1, 0], [-1, 0, 0, 2], [3, 0, 0, -3], [0, 0, -1, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [1, 0, 0, 0], [0, -1, 1, 0], [5, 0, 0, -1], [-1, 0, 0, 0], [0, -3, -2, 0], [0, 0, 1, 0], [0, -2, -1, 0], [0, 2, 0, 0], [2, 0, 0, -1], [-1, 0, 0, 0], [0, 2, 1, 0], [2, 0, 0, -1], [0, 0, 0, 0], [1, 0, 0, 0], [0, 4, 6, 0], [2, 0, 0, -1], [-3, 0, 0, 1], [0, 2, 1, 0], [0, 0, 1, 0], [0, -3, 0, 0], [0, 0, -7, 0], [1, 0, 0, 0], [-1, 0, 0, 3], [0, 0, -1, 0], [-2, 0, 0, 2], [0, 0, 0, 0], [6, 0, 0, 1], [0, 0, 1, 0], [-1, 0, 0, 2], [-2, 0, 0, 1], [0, 1, -1, 0], [0, -1, 4, 0], [0, 1, -8, 0], [0, 0, -1, 0], [6, 0, 0, 0], [-1, 0, 0, 3], [0, 1, -1, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [-1, 0, 0, 2], [0, -4, 4, 0], [2, 0, 0, -2], [3, 0, 0, -3], [0, -1, 1, 0], [0, -2, -10, 0], [0, 0, -1, 0], [0, -6, 0, 0], [1, 0, 0, -2], [-1, 0, 0, 0], [0, -1, 1, 0], [10, 0, 0, -3], [0, 0, 0, 0], [9, 0, 0, 1], [0, 0, 1, 0], [1, 0, 0, 0], [-2, 0, 0, -4], [0, -2, -4, 0], [0, -1, 1, 0], [0, 2, 0, 0], [0, 1, -2, 0], [5, 0, 0, -1], [1, 0, 0, -2], [0, 5, 11, 0], [-1, 0, 0, 0], [0, 0, 0, 0], [-3, 0, 0, 3], [0, -3, -2, 0], [7, 0, 0, 0], [2, 0, 0, -1], [0, 0, 1, 0], [0, -2, -4, 0], [0, 3, 2, 0], [0, -2, -1, 0], [1, 0, 0, 0]]}