# Stored data for newform 800.4.a.l, downloaded from the LMFDB on 19 January 2025.
{"Nk2": 12800, "analytic_conductor": 47.20152800459249, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [5, -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": [800, 1, [351, 101, 577], [1, 1, 1]], "cm_discs": [-20], "conrey_index": 1, "dim": 2, "field_disc": 5, "field_disc_factorization": [[5, 1]], "field_poly": [-1, -1, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 10, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[3, [44, 14, 1]], [11, [0, 1]], [13, [0, 1]]], "hecke_orbit": 12, "hecke_orbit_code": 49539595968185120, "hecke_ring_generator_nbound": 3, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 20, 4, -1, 2, -20]], "is_cm": true, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": true, "is_twist_minimal": false, "label": "800.4.a.l", "level": 800, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [2, 5], "level_radical": 10, "minimal_twist": "160.4.c.c", "nf_label": "2.2.5.1", "prim_orbit_index": 1, "qexp_display": "q+(-7-\\beta )q^{3}+(-9-11\\beta )q^{7}+(3^{3}+\\cdots)q^{9}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "3.2.1.d1", "self_twist_discs": [-20], "self_twist_type": 1, "space_label": "800.4.a", "trace_display": [0, -14, 0, -18], "trace_hash": 376610404701440052, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.873", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "15.787", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "163.954", "prec": 24}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.629", "prec": 17}, "traces": [0, 2, 0, -14, 0, 0, 0, -18, 0, 54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 236, 0, -134, 0, 0, 0, -140, 0, 612, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 594, 0, 0, 0, -602, 0, 686, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2026, 0, 0, 0, -1098, 0, 308, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 502, 0, 154, 0, 0, 0, -4284, 0, -2772, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -756, 0, -2646, 0, 0, 0, -442, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2662, 0, 2060, 0, 0, 0, -2178, 0, -5348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2684, 0, 0, 0, 0, 0, -6782, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5724, 0, -5886, 0, 0, 0, -2618, 0, -4394, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2156, 0, 180, 0, 0, 0, 0, 0, 12040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5236, 0, -5508, 0, 0, 0, 5202, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8946, 0, 0, 0, -8162, 0, 13748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3514, 0, 0, 0, 0, 0, 3692, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16524, 0, 12034, 0, 0, 0, 19404, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1386, 0, 0, 0, 22660, 0, -9826, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18436, 0, 5292, 0, 0, 0, -5418, 0, 15572, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3836, 0, 0, 0, 0, 0, -8820, 0, -11412, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -21780, 0, 0, 0, 15742, 0, -19292, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13718, 0, 18634, 0, 0, 0, 19278, 0, -28840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22876, 0, 16226, 0, 0, 0, 32698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -31644, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5166, 0, 0, 0, 1980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46242, 0, 20474, 0, 0, 0, 8540, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32004, 0, -22086, 0, 0, 0, -15778, 0, -17068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38368, 0, 0, 0, -162, 0, 41132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5996, 0, -25606, 0, 0, 0, 30758, 0, 17892, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16884, 0, -28854, 0, 0, 0, 0, 0, 24334, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13604, 0, -15092, 0, 0, 0, -35442, 0, -2520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3374, 0, 0, 0, -46098, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 51084, 0, 0, 0, 0, 0, -23282, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4654, 0, 0, 0, -23562, 0, 72216, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52360, 0, 24948, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43974, 0, 0, 0, 41678, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -41004, 0, -69212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 45524, 0, 7874, 0, 0, 0, -96236, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6804, 0, 1012, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8636, 0, -32580, 0, 0, 0, -12978, 0, 13554, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 57266, 0, 0, 0, -62622, 0, -72252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -43596, 0, -97020, 0, 0, 0, 0, 0, -59108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42840, 0, 0, 0, -48762, 0, -82348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74844, 0, 0, 0, 0, 0, 30700, 0, 52812, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -44694, 0, 0, 0, -65458, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 138494, 0, 19180, 0, 0, 0, 23958, 0, -39652, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -177160, 0, 63386, 0, 0, 0, 68782, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30654, 0, 0, 0, -5698, 0, 103532, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 172432, 0, 0, 0, -16218, 0, -20412, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 69716, 0, 0, 0, 0, 0, -30142, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 88956, 0, -129780, 0, 0, 0, 73702, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -59582, 0, 85086, 0, 0, 0, 47718, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 123480, 0, -73486, 0, 0, 0, 60544, 0, 35172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 127228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34916, 0, 0, 0, 0, 0, 0, 0, 170280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -89404, 0, 93940, 0, 0, 0, 135044, 0, -24948, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 102924, 0, 11466, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136724, 0, 96026, 0, 0, 0, -97362, 0, -71874, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -124036, 0, -6614, 0, 0, 0, 201880, 0, 135828, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104454, 0, 0, 0, 78778, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 52204, 0, -165626, 0, 0, 0, 0, 0, -144092, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -158200, 0, 71434, 0, 0, 0, -26180, 0, -112068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 39546, 0, 0, 0, 83798, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 221508, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 111034, 0, 0, 0, 70740, 0, 83268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 181764, 0, -150052, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64260, 0, 0, 0, -19404, 0, -107800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15480, 0, 118826, 0, 0, 0, 0, 0, -45972, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -131886, 0, 0, 0, 46718, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -242060, 0, 0, 0, -23778, 0, -106148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -119560, 0, 0, 0, 0, 0, -84700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -135324, 0, -184212, 0, 0, 0, -139978, 0, -101306, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224028, 0, 0, 0, 0, 0, 193732, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 163636, 0, -11340, 0, 0, 0, 81136, 0, -17028, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 209916, 0, -95166, 0, 0, 0, -141722, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 142758, 0, -130748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -66836, 0, 0, 0, 0, 0, -157942, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 109746, 0, 0, 0, -65618, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 101934, 0, 0, 0, 0, 0, 221812, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -118638, 0, -167446, 0, 0, 0, -125244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 227916, 0, -157374, 0, 0, 0, 0, 0, 122692, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -153004, 0, -118188, 0, 0, 0, -28098, 0, 241468, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 175274, 0, 0, 0, -85918, 0, -54252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -199836, 0, -123732, 0, 0, 0, -84482, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19436, 0, 95228, 0, 0, 0, -184338, 0, 58212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 264404, 0, 0, 0, 0, 0, 17640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 151866, 0, 0, 0, -54802, 0, 134708, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 286518, 0, 0, 0, 0, 0, -358380, 0, -60532, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 59236, 0, 0, 0, 0, 0, 101780, 0, 238788, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -285516, 0, -3366, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208516, 0, -392048, 0, 0, 0, -143298, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 236324, 0, -245140, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -187614, 0, 0, 0, 194102, 0, -243932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32940, 0, 0, 0, 0, 0, -163240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 243484, 0, -10934, 0, 0, 0, -619956, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -87516, 0, 0, 0, 0, 0, -76202, 0, 159014, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -187124, 0, 204506, 0, 0, 0, 225918, 0, -327096, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 337700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 139958, 0, -310828, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 109340, 0, 0, 0, -315180, 0, 276748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -245396, 0, -335988, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 210980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -341924, 0, -65340, 0, 0, 0, 249102, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94248, 0, 200906, 0, 0, 0, 333802, 0, -407880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3276, 0, 88434, 0, 0, 0, -204938, 0, -225148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -57834, 0, 0, 0, 185724, 0, -166628, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 371196, 0, 152866, 0, 0, 0, 0, 0, -244332, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -213084, 0, 250146, 0, 0, 0, -239338, 0, 117068, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160300, 0, 0, 0, 439362, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -89208, 0, 0, 0, 0, 0, -7084, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112806, 0, 0, 0, 0, 0, 398452, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -58528, 0, 0, 0, 0, 0, 456120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29684, 0, 0, 0, 0, 0, 66920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 143514, 0, 0, 0, -207082, 0, 207646, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -404012, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 456680, 0, -292726, 0, 0, 0, 543824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 291718, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 305172, 0, 0, 0, 135702, 0, 758520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96454, 0, 0, 0, 413756, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 50652, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 61902, 0, 153612, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 428564, 0, 0, 0, 0, 0, 298458, 0, 363132, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 327474, 0, 0, 0, 0, 0, -313772, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 156742, 0, 194040, 0, 0, 0, 47124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -429800, 0, 21106, 0, 0, 0, -369684, 0, 87012, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -466956, 0, 173628, 0, 0, 0, 219358, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 466204, 0, 207620, 0, 0, 0, -320922, 0, 201908, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 423556, 0, 0, 0, 0, 0, -138420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37080, 0, 277794, 0, 0, 0, 555660, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -969458, 0, 0, 0, 123462, 0, -268520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -314116, 0, -348326, 0, 0, 0, 456722, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -53492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -848232, 0, 871380, 0, 0, 0, 0, 0, -368732, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -265302, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 518364, 0, -21420, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -191620, 0, 0, 0, 380358, 0, 365708, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 206476, 0, -379414, 0, 0, 0, -913184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -481644, 0, 203274, 0, 0, 0, -379162, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23058, 0, -1105092, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 282436, 0, -287980, 0, 0, 0, 52920, 0, -569268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -504700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -591346, 0, 0, 0, -369522, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -103880, 0, 178354, 0, 0, 0, 80740, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 361764, 0, 153594, 0, 0, 0, 284796, 0, -297754, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -622692, 0, 0, 0, 0, 0, 770440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -598444, 0, 184906, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 572796, 0, 778140, 0, 0, 0, -27540, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34556, 0, 417074, 0, 0, 0, -91098, 0, -648200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -176596, 0, 303506, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -334764, 0, 0, 0, 0, 0, -410122, 0, -231336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -864360, 0, 0, 0, 706860, 0, 619252, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -37364, 0, -176534, 0, 0, 0, -353584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -809676, 0, -35640, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0], [1, 0], [0, 0], [-7, -1], [0, 0], [0, 0], [0, 0], [-9, -11], [0, 0], [27, 14], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [118, 86], [0, 0], [-67, 63], [0, 0], [0, 0], [0, 0], [-70, -98], [0, 0], [306, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -206], [0, 0], [297, 119], [0, 0], [0, 0], [0, 0], [-301, 153], [0, 0], [343, 198], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -18], [0, 0], [-1013, -423], [0, 0], [0, 0], [0, 0], [-549, 245], [0, 0], [154, -374], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [251, 378], [0, 0], [77, -477], [0, 0], [0, 0], [0, 0], [-2142, -306], [0, 0], [-1386, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0]]}