# Stored data for newform 4600.2.e.r, downloaded from the LMFDB on 25 April 2024. {"label": "4600.2.e.r", "space_label": "4600.2.e", "level": 4600, "weight": 2, "hecke_orbit": 18, "hecke_orbit_code": 76561468576764408, "dim": 6, "is_polredabs": true, "nf_label": "6.0.24681024.1", "trace_hash": 2225610391896416836, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[3, [9, 0, 36, 0, 12, 0, 1]], [7, [4, 0, 21, 0, 15, 0, 1]], [11, [-12, -15, -3, 1]], [13, [841, 0, 324, 0, 36, 0, 1]]], "qexp_display": "q+\\beta _{1}q^{3}+(-\\beta _{1}+\\beta _{2})q^{7}+(-1-\\beta _{3}+\\cdots)q^{9}+\\cdots", "char_order": 2, "char_parity": 1, "char_degree": 1, "char_conductor": 5, "char_orbit_label": "e", "char_is_real": true, "Nk2": 18400, "analytic_conductor": 36.731184929788974, "hecke_ring_index": 1, "level_radical": 230, "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": [4600, 2, [1151, 2301, 2577, 1201], [2, 2, 1, 2]], "hecke_ring_generator_nbound": 7, "inner_twist_count": 2, "level_primes": [2, 5, 23], "conrey_indexes": [4049], "field_disc": -24681024, "field_disc_factorization": [[-1, 1], [2, 6], [3, 6], [23, 2]], "field_poly": [9, 0, 36, 0, 12, 0, 1], "hecke_ring_index_factorization": [], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "5.577", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "177.810", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "8725.115", "prec": 27}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 6, "sato_tate_group": "1.2.3.c2", "trace_display": [0, 0, 0, 0], "traces": [0, 6, 0, 0, 0, 0, 0, 0, 0, -6, 0, 6, 0, 0, 0, 0, 0, 0, 0, -6, 0, 24, 0, 0, 0, 0, 0, 0, 0, -6, 0, 12, 0, 0, 0, 0, 0, 0, 0, -30, 0, -12, 0, 0, 0, 0, 0, 0, 0, 12, 0, 30, 0, 0, 0, 0, 0, 0, 0, -12, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 60, 0, 30, 0, 0, 0, 0, 0, 0, 0, -18, 0, 24, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 12, 0, 0, 0, 0, 0, 0, 0, 12, 0, -18, 0, 0, 0, 0, 0, 0, 0, -6, 0, -6, 0, 0, 0, 0, 0, 0, 0, 18, 0, 36, 0, 0, 0, 0, 0, 0, 0, 24, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, -72, 0, 0, 0, 0, 0, 0, 0, -30, 0, 54, 0, 0, 0, 0, 0, 0, 0, -18, 0, -48, 0, 0, 0, 0, 0, 0, 0, -24, 0, 120, 0, 0, 0, 0, 0, 0, 0, 48, 0, -24, 0, 0, 0, 0, 0, 0, 0, 102, 0, 72, 0, 0, 0, 0, 0, 0, 0, 12, 0, 6, 0, 0, 0, 0, 0, 0, 0, -102, 0, 60, 0, 0, 0, 0, 0, 0, 0, 84, 0, -30, 0, 0, 0, 0, 0, 0, 0, -24, 0, 36, 0, 0, 0, 0, 0, 0, 0, 18, 0, -42, 0, 0, 0, 0, 0, 0, 0, 72, 0, -24, 0, 0, 0, 0, 0, 0, 0, 24, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -30, 0, 6, 0, 0, 0, 0, 0, 0, 0, -48, 0, 24, 0, 0, 0, 0, 0, 0, 0, -24, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 36, 0, 0, 0, 0, 0, 0, 0, 126, 0, -12, 0, 0, 0, 0, 0, 0, 0, 54, 0, 66, 0, 0, 0, 0, 0, 0, 0, -114, 0, -6, 0, 0, 0, 0, 0, 0, 0, 66, 0, -24, 0, 0, 0, 0, 0, 0, 0, -72, 0, 48, 0, 0, 0, 0, 0, 0, 0, -36, 0, 162, 0, 0, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 72, 0, 0, 0, 0, 0, 0, 0, 66, 0, -6, 0, 0, 0, 0, 0, 0, 0, 18, 0, -18, 0, 0, 0, 0, 0, 0, 0, -144, 0, -108, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 186, 0, 54, 0, 0, 0, 0, 0, 0, 0, 90, 0, 24, 0, 0, 0, 0, 0, 0, 0, 18, 0, -132, 0, 0, 0, 0, 0, 0, 0, -138, 0, 48, 0, 0, 0, 0, 0, 0, 0, -6, 0, -84, 0, 0, 0, 0, 0, 0, 0, 60, 0, -78, 0, 0, 0, 0, 0, 0, 0, -66, 0, -60, 0, 0, 0, 0, 0, 0, 0, 84, 0, 144, 0, 0, 0, 0, 0, 0, 0, 12, 0, 30, 0, 0, 0, 0, 0, 0, 0, -210, 0, -108, 0, 0, 0, 0, 0, 0, 0, -114, 0, -96, 0, 0, 0, 0, 0, 0, 0, 54, 0, -24, 0, 0, 0, 0, 0, 0, 0, -48, 0, -42, 0, 0, 0, 0, 0, 0, 0, -18, 0, 18, 0, 0, 0, 0, 0, 0, 0, 24, 0, 48, 0, 0, 0, 0, 0, 0, 0, 102, 0, 60, 0, 0, 0, 0, 0, 0, 0, 12, 0, -102, 0, 0, 0, 0, 0, 0, 0, -240, 0, 138, 0, 0, 0, 0, 0, 0, 0, 96, 0, 126, 0, 0, 0, 0, 0, 0, 0, 24, 0, 60, 0, 0, 0, 0, 0, 0, 0, 168, 0, -60, 0, 0, 0, 0, 0, 0, 0, -6, 0, -18, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, -120, 0, 0, 0, 0, 0, 0, 0, 78, 0, -102, 0, 0, 0, 0, 0, 0, 0, -60, 0, -96, 0, 0, 0, 0, 0, 0, 0, 30, 0, -144, 0, 0, 0, 0, 0, 0, 0, 12, 0, -114, 0, 0, 0, 0, 0, 0, 0, -156, 0, 18, 0, 0, 0, 0, 0, 0, 0, -66, 0, -60, 0, 0, 0, 0, 0, 0, 0, 72, 0, -120, 0, 0, 0, 0, 0, 0, 0, 66, 0, -30, 0, 0, 0, 0, 0, 0, 0, -78, 0, -12, 0, 0, 0, 0, 0, 0, 0, 36, 0, -246, 0, 0, 0, 0, 0, 0, 0, -168, 0, -132, 0, 0, 0, 0, 0, 0, 0, 216, 0, 24, 0, 0, 0, 0, 0, 0, 0, 150, 0, -222, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 156, 0, -96, 0, 0, 0, 0, 0, 0, 0, -108, 0, -144, 0, 0, 0, 0, 0, 0, 0, 6, 0, -180, 0, 0, 0, 0, 0, 0, 0, 72, 0, 60, 0, 0, 0, 0, 0, 0, 0, 132, 0, -6, 0, 0, 0, 0, 0, 0, 0, 42, 0, -114, 0, 0, 0, 0, 0, 0, 0, 0, 0, -114, 0, 0, 0, 0, 0, 0, 0, 162, 0, 48, 0, 0, 0, 0, 0, 0, 0, -6, 0, 54, 0, 0, 0, 0, 0, 0, 0, 90, 0, -66, 0, 0, 0, 0, 0, 0, 0, 144, 0, -36, 0, 0, 0, 0, 0, 0, 0, -36, 0, -150, 0, 0, 0, 0, 0, 0, 0, -72, 0, 42, 0, 0, 0, 0, 0, 0, 0, 84, 0, 204, 0, 0, 0, 0, 0, 0, 0, 72, 0, -42, 0, 0, 0, 0, 0, 0, 0, 66, 0, 108, 0, 0, 0, 0, 0, 0, 0, -48, 0, -18, 0, 0, 0, 0, 0, 0, 0, -48, 0, -78, 0, 0, 0, 0, 0, 0, 0, -54, 0, -42, 0, 0, 0, 0, 0, 0, 0, -66, 0, 54, 0, 0, 0, 0, 0, 0, 0, 36, 0, 30, 0, 0, 0, 0, 0, 0, 0, -42, 0, -42, 0, 0, 0, 0, 0, 0, 0, 108, 0, -288, 0, 0, 0, 0, 0, 0, 0, -186, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 168, 0, 0, 0, 0, 0, 0, 0, 144, 0, 102, 0, 0, 0, 0, 0, 0, 0, -264, 0, -198, 0, 0, 0, 0, 0, 0, 0, 84, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, -24, 0, 84, 0, 0, 0, 0, 0, 0, 0, 144, 0, 108, 0, 0, 0, 0, 0, 0, 0, 66, 0, -60, 0, 0, 0, 0, 0, 0, 0, 12, 0, -36, 0, 0, 0, 0, 0, 0, 0, -24, 0, 108, 0, 0, 0, 0, 0, 0, 0, -12, 0, -120, 0, 0, 0, 0, 0, 0, 0, -102, 0, -282, 0, 0, 0, 0, 0, 0, 0, 84, 0, -132, 0, 0, 0, 0, 0, 0, 0, -24, 0, 96, 0, 0, 0, 0, 0, 0, 0, -48, 0, -156, 0, 0, 0, 0, 0, 0, 0, -90, 0, 210, 0, 0, 0, 0, 0, 0, 0, -72, 0, 198, 0, 0, 0, 0, 0, 0, 0, 72, 0, -90, 0, 0, 0, 0, 0, 0, 0, 60, 0, 6, 0, 0, 0, 0, 0, 0, 0, -66, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -42, 0, 264, 0, 0, 0, 0, 0, 0, 0, -72, 0, -132, 0, 0, 0, 0, 0, 0, 0, -180, 0, 204, 0, 0, 0, 0, 0, 0, 0, -114, 0, -54, 0, 0, 0, 0, 0, 0, 0, 126, 0, 84, 0, 0, 0, 0, 0, 0, 0, 120, 0, -102, 0, 0, 0, 0, 0, 0, 0, -252, 0, -108, 0, 0, 0, 0, 0, 0, 0, 144, 0, 240, 0, 0, 0, 0, 0, 0, 0, 156, 0, -12, 0, 0, 0, 0, 0, 0, 0, 336, 0, 6, 0, 0, 0, 0, 0, 0, 0, -162, 0, 36, 0, 0, 0, 0, 0, 0, 0, -192, 0, -84, 0, 0, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 0, 0, -42, 0, -102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -108, 0, 114, 0, 0, 0, 0, 0, 0, 0, -252, 0, -126, 0, 0, 0, 0, 0, 0, 0, -258, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 12, 0, 0, 0, 0, 0, 0, 0, 240, 0, 0, 0, 0, 0, 0, 0, 0, 0, -132, 0, 6, 0, 0, 0, 0, 0, 0, 0, -180, 0, 24, 0, 0, 0, 0, 0, 0, 0, 246, 0, -228, 0, 0, 0, 0, 0, 0, 0, 96, 0, -120, 0, 0, 0, 0, 0, 0, 0, -120, 0, 114, 0, 0, 0, 0, 0, 0, 0, 114, 0, 90, 0, 0, 0, 0, 0, 0, 0, -132, 0, 144, 0, 0, 0, 0, 0, 0, 0, 168, 0, -264, 0, 0, 0, 0, 0, 0, 0, -60, 0, 252, 0, 0, 0, 0, 0, 0, 0, -150, 0, 66, 0, 0, 0, 0, 0, 0, 0, -36, 0, -108, 0, 0, 0, 0, 0, 0, 0, 12, 0, 198, 0, 0, 0, 0, 0, 0, 0, 174, 0, -90, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 36, 0, 252, 0, 0, 0, 0, 0, 0, 0, 30, 0, 66, 0, 0, 0, 0, 0, 0, 0, 144, 0, 72, 0, 0, 0, 0, 0, 0, 0, 114, 0, -198, 0, 0, 0, 0, 0, 0, 0, -270, 0, -48, 0, 0, 0, 0, 0, 0, 0, 204, 0, 180, 0, 0, 0, 0, 0, 0, 0, 48, 0, 114, 0, 0, 0, 0, 0, 0, 0, -120, 0, 6, 0, 0, 0, 0, 0, 0, 0, 372, 0, 102, 0, 0, 0, 0, 0, 0, 0, 60, 0, 168, 0, 0, 0, 0, 0, 0, 0, -96, 0, -24, 0, 0, 0, 0, 0, 0, 0, 120, 0, -78, 0, 0, 0, 0, 0, 0, 0, -264, 0, 12, 0, 0, 0, 0, 0, 0, 0, 156, 0, -156, 0, 0, 0, 0, 0, 0, 0, -72, 0, -186, 0, 0, 0, 0, 0, 0, 0, 144, 0, -168, 0, 0, 0, 0, 0, 0, 0, -192, 0, 132, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102, 0, -162, 0, 0, 0, 0, 0, 0, 0, -168, 0, -12, 0, 0, 0, 0, 0, 0, 0, 288, 0, 54, 0, 0, 0, 0, 0, 0, 0, 294, 0, 54, 0, 0, 0, 0, 0, 0, 0, 138, 0, 156, 0, 0, 0, 0, 0, 0, 0, 276, 0, -84, 0, 0, 0, 0, 0, 0, 0, 24, 0, -24, 0, 0, 0, 0, 0, 0, 0, -180, 0, 60, 0, 0, 0, 0, 0, 0, 0, 228, 0, 138, 0, 0, 0, 0, 0, 0, 0, 216, 0, -162, 0, 0, 0, 0, 0, 0, 0, -234, 0, -84, 0, 0, 0, 0, 0, 0, 0, -414, 0, 48, 0, 0, 0, 0, 0, 0, 0, -120, 0, -90, 0, 0, 0, 0, 0, 0, 0, 102, 0, -276, 0, 0, 0, 0, 0, 0, 0, -90, 0, 84, 0, 0, 0, 0, 0, 0, 0, 36, 0, -6, 0, 0, 0, 0, 0, 0, 0, 210, 0, 90, 0, 0, 0, 0, 0, 0, 0, 42, 0, 252, 0, 0, 0, 0, 0, 0, 0, -42, 0, 24, 0, 0, 0, 0, 0, 0, 0, -480, 0, 72, 0, 0, 0, 0, 0, 0, 0, -54, 0, -156, 0, 0, 0, 0, 0, 0, 0, 42, 0, 132, 0, 0, 0, 0, 0, 0, 0, 162, 0, 186, 0, 0, 0, 0, 0, 0, 0, 72, 0, 60, 0, 0, 0, 0, 0, 0, 0, 144, 0, -108, 0, 0, 0, 0, 0, 0, 0, 102, 0, -156, 0, 0, 0, 0, 0, 0, 0, 48, 0, -72, 0, 0, 0, 0, 0, 0, 0, 336, 0, -36, 0, 0, 0, 0, 0, 0, 0, -36, 0, -66, 0, 0, 0, 0, 0, 0, 0, 66, 0, 6, 0, 0, 0, 0, 0, 0, 0, -84, 0, 228, 0, 0, 0, 0, 0, 0, 0, 132, 0, 144, 0, 0, 0, 0, 0, 0, 0, -48, 0, 168, 0, 0, 0, 0, 0, 0, 0, 222, 0, 186, 0, 0, 0, 0, 0, 0, 0, -228, 0, 66, 0, 0, 0, 0, 0, 0, 0, -84, 0, 258, 0, 0, 0, 0, 0, 0, 0, 96, 0, 336, 0, 0, 0, 0, 0, 0, 0, -42, 0, -162, 0, 0, 0, 0, 0, 0, 0, -156, 0, 18, 0, 0, 0, 0, 0, 0, 0, 126, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -312, 0, -42, 0, 0, 0, 0, 0, 0, 0, -90, 0, 192, 0, 0, 0, 0, 0, 0, 0, -360, 0, -120, 0, 0, 0, 0, 0, 0, 0, -78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, -60, 0, 0, 0, 0, 0, 0, 0, 12, 0, 72, 0, 0, 0, 0, 0, 0, 0, 252, 0, -156, 0, 0, 0, 0, 0, 0, 0, 36, 0, 96, 0, 0, 0, 0, 0, 0, 0, 192, 0, -18, 0, 0, 0, 0, 0, 0, 0, 126, 0, 12, 0, 0, 0, 0, 0, 0, 0, -270, 0, -252, 0, 0, 0, 0, 0, 0, 0, 30, 0, -30, 0, 0, 0, 0, 0, 0, 0, -354, 0, 264, 0, 0, 0, 0, 0, 0, 0, 336, 0, 156, 0, 0, 0, 0, 0, 0, 0, -156, 0, 30, 0, 0, 0, 0, 0, 0, 0, 72, 0, 210, 0, 0, 0, 0, 0, 0, 0, -204, 0, 12, 0, 0, 0, 0, 0, 0, 0, 60, 0, 318, 0, 0, 0, 0, 0, 0, 0, -276, 0, 42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 18, 0, 36, 0, 0, 0, 0, 0, 0, 0, 18, 0, 108, 0, 0, 0, 0, 0, 0, 0, -96, 0, -132, 0, 0, 0, 0, 0, 0, 0, -204, 0, 204, 0, 0, 0, 0, 0, 0, 0, 90, 0, -102, 0, 0, 0, 0, 0, 0, 0, -366, 0, 18, 0, 0, 0, 0, 0, 0, 0, 252, 0, 144, 0, 0, 0, 0, 0, 0, 0, 360, 0, -30, 0, 0, 0, 0, 0, 0, 0, -180, 0, -66, 0, 0, 0, 0, 0, 0, 0, -186, 0, -120, 0, 0, 0, 0, 0, 0, 0, -120, 0, 18, 0, 0, 0, 0, 0, 0, 0, 240, 0, 414, 0, 0, 0, 0, 0, 0, 0, -246, 0, -132, 0, 0, 0, 0, 0, 0, 0, 174, 0, -60, 0, 0, 0, 0, 0, 0, 0, 60, 0, 6, 0, 0, 0, 0, 0, 0, 0, -180, 0, 264, 0, 0, 0, 0, 0, 0, 0, -54, 0, 150, 0, 0, 0, 0, 0, 0, 0, -168, 0, -42, 0, 0, 0, 0, 0, 0, 0, -60, 0, -192, 0, 0, 0, 0, 0, 0, 0, -144, 0, 264, 0, 0, 0, 0, 0, 0, 0, -180, 0, 330, 0, 0, 0, 0, 0, 0, 0, -72, 0, -216, 0, 0, 0, 0, 0, 0, 0, 12, 0, -24, 0, 0, 0, 0, 0, 0, 0, -216, 0, -12, 0, 0, 0, 0, 0, 0, 0, 354, 0, -120, 0, 0, 0, 0, 0, 0, 0, -168, 0, 252, 0, 0, 0, 0, 0, 0, 0, 156, 0, 192, 0, 0, 0, 0, 0, 0, 0, -36, 0, -150, 0, 0, 0, 0, 0, 0, 0, -132, 0, -156, 0, 0, 0, 0, 0, 0, 0, 6, 0, -228, 0, 0, 0, 0, 0, 0, 0, 84, 0, -48, 0, 0, 0, 0, 0, 0, 0, 48, 0, -324, 0, 0, 0, 0, 0, 0, 0, 72, 0, -90, 0, 0, 0, 0, 0, 0, 0, -30, 0, 240, 0, 0, 0, 0, 0, 0, 0, -60, 0, 72, 0, 0, 0, 0, 0, 0, 0, -282, 0, 168, 0, 0, 0, 0, 0, 0, 0, -48, 0, -24, 0, 0, 0, 0, 0, 0, 0, 60, 0, 150, 0, 0, 0, 0, 0, 0, 0, -168, 0, -30, 0, 0, 0, 0, 0, 0, 0, 96, 0, 282, 0, 0, 0, 0, 0, 0, 0, -270, 0, 162, 0, 0, 0, 0, 0, 0, 0, 108, 0, 36, 0, 0, 0, 0, 0, 0, 0, -258, 0, -192, 0, 0, 0, 0, 0, 0, 0, -108, 0, -192, 0, 0, 0, 0, 0, 0, 0, 120, 0, 162, 0, 0, 0, 0, 0, 0, 0, -294, 0, 264, 0, 0, 0, 0, 0, 0, 0, -96, 0, 42, 0, 0, 0, 0, 0, 0, 0, 36, 0, 144, 0, 0, 0, 0, 0, 0, 0, -36, 0, 30, 0, 0, 0, 0, 0, 0, 0, 78, 0, 144, 0, 0, 0, 0, 0, 0, 0, -24, 0, 132, 0, 0, 0, 0, 0, 0, 0, 150, 0, 210, 0, 0, 0, 0, 0, 0, 0, 24, 0, -204, 0, 0, 0, 0, 0, 0, 0, 156, 0, 288, 0, 0, 0, 0, 0, 0, 0, 360, 0], "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, 5, 2, 1, 2, 0]], "char_orbit_index": 5, "prim_orbit_index": 2, "minimal_twist": "920.2.a.g", "char_is_minimal": false, "conrey_index": 4049, "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, 0, 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, -1, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, -1, 1, 0], [0, 0, 0, 0, 0, 0], [1, 0, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 1, -2, 0], [0, 0, 0, 0, 0, 0], [4, 0, 0, 2, -1, 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, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0], [2, 0, 0, -3, 1, 0], [0, 0, 0, 0, 0, 0], [0, 1, 5, 0, 0, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 4, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-5, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0], [-2, 0, 0, -3, 2, 0], [0, 0, 0, 0, 0, 0], [0, 0, -6, 0, 0, 2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 5, 0, 0, -1], [0, 0, 0, 0, 0, 0], [2, 0, 0, -3, 1, 0], [0, 0, 0, 0, 0, 0], [5, 0, 0, -1, -2, 0], [0, 0, 0, 0, 0, 0], [0, 0, -2, 0, 0, 4], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 2, -2, 0, 0, -1], [0, 0, 0, 0, 0, 0], [-2, 0, 0, 2, -2, 0], [0, 0, 0, 0, 0, 0], [9, 0, 0, -1, -1, 0], [0, 0, 0, 0, 0, 0], [0, 4, -4, 0, 0, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -4, 4, 0, 0, 4], [0, 0, 0, 0, 0, 0], [0, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0], [2, 0, 0, -3, 2, 0], [0, 0, 0, 0, 0, 0], [0, -4, 5, 0, 0, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, -4, 0, 0, 1], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-3, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0], [0, -4, 4, 0, 0, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, -2, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0], [10, 0, 0, 0, -2, 0], [0, 0, 0, 0, 0, 0], [5, 0, 0, 1, -1, 0], [0, 0, 0, 0, 0, 0], [0, -2, 11, 0, 0, -2], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 1, 3, 0, 0, -3], [0, 0, 0, 0, 0, 0], [-3, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0]]}