# Stored data for newform 256.4.a.a, downloaded from the LMFDB on 11 December 2025.
{"Nk2": 4096, "analytic_conductor": 15.104488961469597, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1]], "atkin_lehner_string": "-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [256, 1, [255, 5], [1, 1]], "cm_discs": [-8], "conrey_index": 1, "dim": 1, "field_disc": 1, "field_disc_factorization": [], "field_poly": [0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[3, [10, 1]], [5, [0, 1]], [7, [0, 1]]], "hecke_orbit": 1, "hecke_orbit_code": 67109120, "hecke_ring_generator_nbound": 1, "hecke_ring_index": 1, "hecke_ring_index_factorization": [], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, -8]], "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": "256.4.a.a", "level": 256, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": true, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2], "level_radical": 2, "minimal_twist": "64.4.b.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-10q^{3}+73q^{9}+18q^{11}+90q^{17}+\\cdots", "related_objects": [], "relative_dim": 1, "rm_discs": [], "sato_tate_group": "3.2.1.d1", "self_twist_discs": [-8], "self_twist_type": 1, "space_label": "256.4.a", "trace_display": [0, -10, 0, 0], "trace_hash": 2100417736729229932, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "0.989", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2.948", "prec": 17}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "9.738", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.507", "prec": 17}, "traces": [0, 1, 0, -10, 0, 0, 0, 0, 0, 73, 0, 18, 0, 0, 0, 0, 0, 90, 0, -106, 0, 0, 0, 0, 0, -125, 0, -460, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, -522, 0, 290, 0, 0, 0, 0, 0, -343, 0, -900, 0, 0, 0, 0, 0, 1060, 0, -846, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 430, 0, 1250, 0, 0, 0, 0, 0, 2629, 0, 1350, 0, 0, 0, 0, 0, -1026, 0, 0, 0, 0, 0, 0, 0, -1910, 0, 1314, 0, 0, 0, 0, 0, 0, 0, -1710, 0, 0, 0, 0, 0, -270, 0, 0, 0, 0, 0, 0, 0, -1007, 0, 5220, 0, 0, 0, 0, 0, -2900, 0, -1242, 0, 0, 0, 0, 0, -2250, 0, 1474, 0, 0, 0, 0, 0, 0, 0, 3430, 0, 0, 0, 0, 0, 6570, 0, 0, 0, 0, 0, 0, 0, 0, 0, -970, 0, 0, 0, 0, 0, -2197, 0, -7738, 0, 0, 0, 0, 0, 8460, 0, -3834, 0, 0, 0, 0, 0, 0, 0, 1620, 0, 0, 0, 0, 0, 2090, 0, 0, 0, 0, 0, 0, 0, -700, 0, 0, 0, 0, 0, 0, 0, -1908, 0, 6118, 0, 0, 0, 0, 0, 0, 0, -4300, 0, 0, 0, 0, 0, -9125, 0, -6570, 0, 0, 0, 0, 0, 6030, 0, 0, 0, 0, 0, 0, 0, -1222, 0, -13870, 0, 0, 0, 0, 0, -13500, 0, -4302, 0, 0, 0, 0, 0, -3870, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10260, 0, 0, 0, 0, 0, 0, 0, -2250, 0, 0, 0, 0, 0, 9342, 0, -8030, 0, 0, 0, 0, 0, 3187, 0, 19100, 0, 0, 0, 0, 0, -8280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7990, 0, 0, 0, 0, 0, 8390, 0, 0, 0, 0, 0, 0, 0, 17100, 0, -9540, 0, 0, 0, 0, 0, 0, 0, 8242, 0, 0, 0, 0, 0, 11410, 0, 2700, 0, 0, 0, 0, 0, 0, 0, -6030, 0, 0, 0, 0, 0, 4770, 0, 0, 0, 0, 0, 0, 0, 4377, 0, 10070, 0, 0, 0, 0, 0, -38106, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11666, 0, 0, 0, 0, 0, 0, 0, 21170, 0, 0, 0, 0, 0, 12420, 0, 0, 0, 0, 0, 0, 0, 7002, 0, 0, 0, 0, 0, 0, 0, -16346, 0, 22500, 0, 0, 0, 0, 0, -14740, 0, -16794, 0, 0, 0, 0, 0, -11250, 0, 0, 0, 0, 0, 0, 0, -5510, 0, 0, 0, 0, 0, 0, 0, -25039, 0, -18270, 0, 0, 0, 0, 0, 17514, 0, -9396, 0, 0, 0, 0, 0, 18070, 0, -41400, 0, 0, 0, 0, 0, 0, 0, 15030, 0, 0, 0, 0, 0, 5220, 0, 13250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9700, 0, -12222, 0, 0, 0, 0, 0, 0, 0, 18214, 0, 0, 0, 0, 0, 0, 0, 21970, 0, 0, 0, 0, 0, 48760, 0, 0, 0, 0, 0, 0, 0, -9162, 0, -4750, 0, 0, 0, 0, 0, -12167, 0, -61758, 0, 0, 0, 0, 0, 38340, 0, -6174, 0, 0, 0, 0, 0, 0, 0, -21850, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16200, 0, 23670, 0, 0, 0, 0, 0, -2394, 0, -27038, 0, 0, 0, 0, 0, -19550, 0, -20900, 0, 0, 0, 0, 0, 0, 0, -10350, 0, 0, 0, 0, 0, -26190, 0, 0, 0, 0, 0, 0, 0, 14398, 0, 5110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28530, 0, 30706, 0, 0, 0, 0, 0, 15625, 0, 19080, 0, 0, 0, 0, 0, -61180, 0, 0, 0, 0, 0, 0, 0, -6678, 0, 28550, 0, 0, 0, 0, 0, -15228, 0, 0, 0, 0, 0, 0, 0, 31390, 0, -29754, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19190, 0, 57500, 0, 0, 0, 0, 0, 65700, 0, 11970, 0, 0, 0, 0, 0, 0, 0, -1978, 0, 0, 0, 0, 0, -46980, 0, -60300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12220, 0, 0, 0, 0, 0, 67717, 0, 26100, 0, 0, 0, 0, 0, 1260, 0, -36074, 0, 0, 0, 0, 0, 0, 0, 98550, 0, 0, 0, 0, 0, 43020, 0, 0, 0, 0, 0, 0, 0, 34182, 0, 0, 0, 0, 0, 0, 0, 40106, 0, 38700, 0, 0, 0, 0, 0, 0, 0, 55332, 0, 0, 0, 0, 0, 0, 0, 6950, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74898, 0, 7740, 0, 0, 0, 0, 0, -14346, 0, -37582, 0, 0, 0, 0, 0, -30740, 0, 0, 0, 0, 0, 0, 0, 22500, 0, 23490, 0, 0, 0, 0, 0, -30870, 0, 0, 0, 0, 0, 0, 0, -24389, 0, -93420, 0, 0, 0, 0, 0, 80300, 0, 0, 0, 0, 0, 0, 0, 18630, 0, -45646, 0, 0, 0, 0, 0, 0, 0, -31870, 0, 0, 0, 0, 0, -139430, 0, 0, 0, 0, 0, 0, 0, -41742, 0, -5290, 0, 0, 0, 0, 0, 0, 0, 47322, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26210, 0, 0, 0, 0, 0, 24300, 0, 0, 0, 0, 0, 0, 0, -79900, 0, 0, 0, 0, 0, 0, 0, -6966, 0, 36358, 0, 0, 0, 0, 0, 56270, 0, -83900, 0, 0, 0, 0, 0, 0, 0, 58230, 0, 0, 0, 0, 0, 45990, 0, 0, 0, 0, 0, 0, 0, -29791, 0, -124830, 0, 0, 0, 0, 0, 95400, 0, 162, 0, 0, 0, 0, 0, 17370, 0, -18468, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -82420, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76140, 0, 0, 0, 0, 0, 60154, 0, -114100, 0, 0, 0, 0, 0, -19710, 0, 54306, 0, 0, 0, 0, 0, 65250, 0, 0, 0, 0, 0, 0, 0, 46190, 0, 0, 0, 0, 0, 0, 0, 60300, 0, 0, 0, 0, 0, 0, 0, 50814, 0, 64402, 0, 0, 0, 0, 0, 0, 0, -47700, 0, 0, 0, 0, 0, 0, 0, -34380, 0, 0, 0, 0, 0, 0, 0, -36250, 0, 0, 0, 0, 0, 0, 0, -43770, 0, 0, 0, 0, 0, -73511, 0, 71478, 0, 0, 0, 0, 0, -70290, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 89676, 0, -29450, 0, 0, 0, 0, 0, 1334, 0, 0, 0, 0, 0, 0, 0, -116660, 0, 6300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6910, 0, 0, 0, 0, 0, 0, 0, -133400, 0, 72450, 0, 0, 0, 0, 0, 0, 0, -80138, 0, 0, 0, 0, 0, -30780, 0, -90666, 0, 0, 0, 0, 0, 0, 0, 52470, 0, 0, 0, 0, 0, -80370, 0, 0, 0, 0, 0, 0, 0, 47698, 0, -70020, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46530, 0, 0, 0, 0, 0, 0, 0, 42875, 0, 163460, 0, 0, 0, 0, 0, -164250, 0, 0, 0, 0, 0, 0, 0, 38700, 0, -4860, 0, 0, 0, 0, 0, -6014, 0, 107602, 0, 0, 0, 0, 0, 167940, 0, -22446, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7420, 0, 112500, 0, 0, 0, 0, 0, 0, 0, 88470, 0, 0, 0, 0, 0, -32274, 0, 29522, 0, 0, 0, 0, 0, -70630, 0, 55100, 0, 0, 0, 0, 0, 0, 0, -54270, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 85462, 0, 157780, 0, 0, 0, 0, 0, 182700, 0, -42084, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -175140, 0, 0, 0, 0, 0, 93960, 0, 0, 0, 0, 0, 0, 0, 24282, 0, 0, 0, 0, 0, 0, 0, -50653, 0, -180700, 0, 0, 0, 0, 0, 236610, 0, 0, 0, 0, 0, 0, 0, 0, 0, -45580, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -150300, 0, 0, 0, 0, 0, 0, 0, -103446, 0, 121500, 0, 0, 0, 0, 0, 0, 0, -52200, 0, 0, 0, 0, 0, -132500, 0, 4950, 0, 0, 0, 0, 0, 71550, 0, 0, 0, 0, 0, 0, 0, -22356, 0, 0, 0, 0, 0, 0, 0, 0, 0, -77598, 0, 0, 0, 0, 0, 0, 0, -8746, 0, 0, 0, 0, 0, 0, 0, -70810, 0, 0, 0, 0, 0, 122220, 0, 105750, 0, 0, 0, 0, 0, 5742, 0, 43490, 0, 0, 0, 0, 0, -63974, 0, 0, 0, 0, 0, 0, 0, -182140, 0, 114786, 0, 0, 0, 0, 0, 0, 0, -40500, 0, 0, 0, 0, 0, -92340, 0, 0, 0, 0, 0, 0, 0, -160381, 0, -118170, 0, 0, 0, 0, 0, 26532, 0, -65342, 0, 0, 0, 0, 0, 0, 0, -278674, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -111150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 91620, 0, 0, 0, 0, 0, 47500, 0, -106938, 0, 0, 0, 0, 0, -143100, 0, -93566, 0, 0, 0, 0, 0, 0, 0, 121670, 0, 0, 0, 0, 0, 389160, 0, 0, 0, 0, 0, 0, 0, -29502, 0, 0, 0, 0, 0, 0, 0, -60946, 0, -279882, 0, 0, 0, 0, 0, 61740, 0, -95706, 0, 0, 0, 0, 0, 0, 0, 109330, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 218500, 0, 0, 0, 0, 0, 0, 0, -171900, 0, 0, 0, 0, 0, 0, 0, -37370, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42570, 0, 0, 0, 0, 0, 0, 0, -8750, 0, 0, 0, 0, 0, 203563, 0, 118260, 0, 0, 0, 0, 0, -236700, 0, 108756, 0, 0, 0, 0, 0, 117450, 0, 133414, 0, 0, 0, 0, 0, 0, 0, 23940, 0, 0, 0, 0, 0, 270380, 0, 0, 0, 0, 0, 0, 0, 71838, 0, 104690, 0, 0, 0, 0, 0, 0, 0, 195500, 0, 0, 0, 0, 0, 152570, 0, 0, 0, 0, 0, 0, 0, 0, 0, -138890, 0, 0, 0, 0, 0, -120130, 0, 0, 0, 0, 0, 0, 0, 103500, 0, -151380, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -141550, 0, 261900, 0, 0, 0, 0, 0, 0, 0, -132030, 0, 0, 0, 0, 0, -17460, 0, 0, 0, 0, 0, 0, 0, 10798, 0, -143980, 0, 0, 0, 0, 0, -32200, 0, -71082, 0, 0, 0, 0, 0, 0, 0, -153900, 0, 0, 0, 0, 0, -53750, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 202460, 0, 0, 0, 0, 0, 4593, 0, 285300, 0, 0, 0, 0, 0, -307060, 0, -39546, 0, 0, 0, 0, 0, 0, 0, 154370, 0, 0, 0, 0, 0, 50330, 0, -156250, 0, 0, 0, 0, 0, -139284, 0, 0, 0, 0, 0, 0, 0, -86526, 0, 0, 0, 0, 0, 0, 0, 0, 0, 446614, 0, 0, 0, 0, 0, 0, 0, 144630, 0, 0, 0, 0, 0, 26910, 0, 0, 0, 0, 0, 0, 0, -24300, 0, 66780, 0, 0, 0, 0, 0, -285500, 0, -34542, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69012, 0, -197800, 0, 0, 0, 0, 0, 297540, 0, -163134, 0, 0, 0, 0, 0, 0, 0, 176870, 0, 0, 0, 0, 0, 151670, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102330, 0, 0, 0, 0, 0, 179046, 0, 117218, 0, 0, 0, 0, 0, -42550, 0, 191900, 0, 0, 0, 0, 0, -328625, 0, -181710, 0, 0, 0, 0, 0, 181260, 0, 0, 0, 0, 0, 0, 0, 0, 0, -479610, 0, 0, 0, 0, 0, -119700, 0, 0, 0, 0, 0, 0, 0, -90630, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19780, 0, -168750, 0, 0, 0, 0, 0, 179658, 0, -187450, 0, 0, 0, 0, 0, 173774, 0, 469800, 0, 0, 0, 0, 0, 440190, 0, 16614, 0, 0, 0, 0, 0, 0, 0, -99470, 0, 0, 0, 0, 0, 154690, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37620, 0, 0, 0, 0, 0, -109134, 0, 27142, 0, 0, 0, 0, 0, 84710, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28620, 0, 0, 0, 0, 0, -147690, 0, 0, 0, 0, 0, 0, 0, 191482, 0, 0, 0, 0, 0, 0, 0, -89206, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13066, 0, 0, 0, 0, 0, 0, 0, -302680, 0, 0, 0, 0, 0, -261000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 65090, 0, 0, 0, 0, 0, -103823, 0, -12600, 0, 0, 0, 0, 0, 360740, 0, 0, 0, 0, 0, 0, 0, 128250, 0, -111780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -621000, 0, 50310, 0, 0, 0, 0, 0, 0, 0, 94498, 0, 0, 0, 0, 0, 0, 0, -314046, 0, 0, 0, 0, 0, 0, 0, -116910, 0, 0, 0, 0, 0, 177570, 0, 0, 0, 0, 0, 0, 0, 187342, 0, -341820, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -214650, 0, 106742, 0, 0, 0, 0, 0, 0, 0, -401060, 0, 0, 0, 0, 0, -282510, 0, 0, 0, 0, 0, 0, 0, 110124, 0, 0, 0, 0, 0, 0, 0, -202500, 0, 0, 0, 0, 0, 0, 0, -553320, 0, -175626, 0, 0, 0, 0, 0, 0, 0, 165490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69500, 0, 132660, 0, 0, 0, 0, 0, 0, 0, -161962, 0, 0, 0, 0, 0, -156170, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 123390, 0, 0, 0, 0, 0, 0, 0, 117649, 0, 471960, 0, 0, 0, 0, 0, -77400, 0, -233118, 0, 0, 0, 0, 0, 76410, 0, 441612, 0, 0, 0, 0, 0, 238750, 0, 143460, 0, 0, 0, 0, 0, 375820, 0, 0, 0, 0, 0, 0, 0, 195822, 0, 0, 0, 0, 0, 0, 0, 0, 0, 307400, 0, 0, 0, 0, 0, 0, 0, -44046, 0, 0, 0, 0, 0, 0, 0, -212330, 0, 0, 0, 0, 0, -214130, 0, -164250, 0, 0, 0, 0, 0, -234900, 0, 0, 0, 0, 0, 0, 0, 131652, 0, 0, 0, 0, 0, 0, 0, -118260, 0, 308700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 154438, 0, 243890, 0, 0, 0, 0, 0, 681966, 0, -130842, 0, 0, 0, 0, 0, -245340, 0, -234574, 0, 0, 0, 0, 0, 0, 0, -586190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108540, 0, 0, 0, 0, 0, 0, 0, -186300, 0, 0, 0, 0, 0, 456460, 0, 128934, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15550, 0, 0, 0, 0, 0, 0, 0, 232651, 0, 238500, 0, 0, 0, 0, 0, -262854, 0, 0, 0, 0, 0, 0, 0, 77510, 0, 878600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 255510, 0, 0, 0, 0, 0, 0, 0, -156244, 0, 417420, 0, 0, 0, 0, 0, 52900, 0, -21996, 0, 0, 0, 0, 0, -238590, 0, -80746, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -249660, 0, 213750, 0, 0, 0, 0, 0, 0, 0, -220430, 0, 0, 0, 0, 0, 150626, 0, 0, 0, 0, 0, 0, 0, 0, 0, 235314, 0, 0, 0, 0, 0, 0, 0, 276230, 0, 0, 0, 0, 0, -168410, 0, 0, 0, 0, 0, 0, 0, -262100, 0, 0, 0, 0, 0, 0, 0, 226134, 0, -68542, 0, 0, 0, 0, 0, 0, 0, -243000, 0, 0, 0, 0, 0, 0, 0, -36540, 0, 0, 0, 0, 0, -272790, 0, 0, 0, 0, 0, 0, 0, -77436, 0, 583270, 0, 0, 0, 0, 0, 0, 0, -87300, 0, 0, 0, 0, 0, -292410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 69660, 0, 0, 0, 0, 0, -363580, 0, 0, 0, 0, 0, 0, 0, -204102, 0, -295450, 0, 0, 0, 0, 0, -148877, 0, -562700, 0, 0, 0, 0, 0, 612470, 0, -146394, 0, 0, 0, 0, 0, 33750, 0, -69660, 0, 0, 0, 0, 0, -145550, 0, 0, 0, 0, 0, 0, 0, -582300, 0, 191250, 0, 0, 0, 0, 0, 0, 0, 102998, 0, 0, 0, 0, 0, 24910, 0, -459900, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -197730, 0, 0, 0, 0, 0, 0, 0, 20300, 0, 297910, 0, 0, 0, 0, 0, 786600, 0, 290178, 0, 0, 0, 0, 0, 51930, 0, 0, 0, 0, 0, 0, 0, 0, 0, -696420, 0, 0, 0, 0, 0, -1620, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -173700, 0, 0, 0, 0, 0, 184680, 0, 161874, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -281770, 0, 0, 0, 0, 0, 0, 0, 0, 0, 239670, 0, 0, 0, 0, 0, 154494, 0, -246238, 0, 0, 0, 0, 0, 0, 0, 601666, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224460, 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], 1, 0, -10, 0, 0, 0, 0, 0, 73, 0, 18, 0, 0, 0, 0, 0, 90, 0, -106, 0, 0, 0, 0, 0, -125, 0, -460, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, -522, 0, 290, 0, 0, 0, 0, 0, -343, 0, -900, 0, 0, 0, 0, 0, 1060, 0, -846, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 430, 0, 1250, 0, 0, 0, 0, 0, 2629, 0, 1350, 0, 0, 0, 0, 0, -1026, 0, 0, 0, 0, 0, 0, 0, -1910, 0, 1314, 0, 0, 0, 0, 0, 0, 0, -1710, 0, 0, 0, 0, 0, -270, 0, 0, 0, 0, 0, 0, 0, -1007, 0, 5220, 0, 0, 0, 0, 0, -2900, 0, -1242, 0, 0, 0, 0, 0, -2250, 0, 1474, 0, 0, 0, 0, 0, 0, 0, 3430, 0, 0, 0, 0, 0, 6570, 0, 0, 0, 0, 0, 0, 0, 0, 0, -970, 0, 0, 0, 0, 0, -2197, 0, -7738, 0, 0, 0, 0, 0, 8460, 0, -3834, 0, 0, 0, 0, 0, 0, 0, 1620, 0, 0, 0, 0, 0, 2090, 0, 0, 0, 0, 0, 0, 0, -700, 0, 0, 0, 0, 0, 0, 0, -1908, 0, 6118, 0, 0, 0, 0, 0, 0, 0, -4300, 0, 0, 0, 0, 0, -9125, 0, -6570, 0, 0, 0, 0, 0, 6030, 0, 0, 0, 0, 0, 0, 0, -1222, 0, -13870, 0, 0, 0, 0, 0, -13500, 0, -4302, 0, 0, 0, 0, 0, -3870, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10260, 0, 0, 0, 0, 0, 0, 0, -2250, 0, 0, 0, 0, 0, 9342, 0, -8030, 0, 0, 0, 0, 0, 3187, 0, 19100, 0, 0, 0, 0, 0, -8280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7990, 0, 0, 0, 0, 0, 8390, 0, 0, 0, 0, 0, 0, 0, 17100, 0, -9540, 0, 0, 0, 0, 0, 0, 0, 8242, 0, 0, 0, 0, 0, 11410, 0, 2700, 0, 0, 0, 0, 0, 0, 0, -6030, 0, 0, 0, 0, 0, 4770, 0, 0, 0, 0, 0, 0, 0, 4377, 0, 10070, 0, 0, 0, 0, 0, -38106, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11666, 0, 0, 0, 0, 0, 0, 0, 21170, 0, 0, 0, 0, 0, 12420, 0, 0, 0, 0, 0, 0, 0, 7002, 0, 0, 0, 0, 0, 0, 0, -16346, 0, 22500, 0, 0, 0, 0, 0, -14740, 0, -16794, 0, 0, 0, 0, 0, -11250, 0, 0, 0, 0, 0, 0, 0, -5510, 0, 0, 0, 0, 0, 0, 0, -25039, 0, -18270, 0, 0, 0, 0, 0, 17514, 0, -9396, 0, 0, 0, 0, 0, 18070, 0, -41400, 0, 0, 0, 0, 0, 0, 0, 15030, 0, 0, 0, 0, 0, 5220, 0, 13250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9700, 0, -12222, 0, 0, 0, 0, 0, 0, 0, 18214, 0, 0, 0, 0, 0, 0, 0, 21970, 0, 0, 0, 0, 0, 48760, 0, 0, 0, 0, 0, 0, 0, -9162, 0, -4750, 0, 0, 0, 0, 0, -12167, 0, -61758, 0, 0, 0, 0, 0, 38340, 0, -6174, 0, 0, 0, 0, 0, 0, 0, -21850, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16200, 0, 23670, 0, 0, 0, 0, 0, -2394, 0, -27038, 0, 0, 0, 0, 0, -19550, 0, -20900, 0, 0, 0, 0, 0, 0, 0, -10350, 0, 0, 0, 0, 0, -26190, 0, 0, 0, 0, 0, 0, 0, 14398, 0, 5110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28530, 0, 30706, 0, 0, 0, 0, 0, 15625, 0, 19080, 0, 0, 0, 0, 0, -61180, 0, 0, 0, 0, 0, 0, 0, -6678, 0, 28550, 0, 0, 0, 0, 0, -15228, 0, 0, 0, 0, 0, 0, 0, 31390, 0, -29754, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19190, 0, 57500, 0, 0, 0, 0, 0, 65700, 0, 11970, 0, 0, 0, 0, 0, 0, 0, -1978, 0, 0, 0, 0, 0, -46980, 0, -60300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12220, 0, 0, 0, 0, 0, 67717, 0, 26100, 0, 0, 0, 0, 0, 1260, 0, -36074, 0, 0, 0, 0, 0, 0, 0, 98550, 0, 0, 0, 0, 0, 43020, 0, 0, 0, 0, 0, 0, 0, 34182, 0, 0, 0, 0, 0, 0, 0, 40106, 0, 38700, 0, 0, 0, 0, 0, 0, 0, 55332, 0, 0, 0, 0, 0, 0, 0, 6950, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74898, 0, 7740, 0, 0, 0, 0, 0, -14346, 0, -37582, 0, 0, 0, 0, 0, -30740, 0, 0, 0, 0, 0, 0, 0, 22500, 0, 23490, 0, 0, 0, 0, 0, -30870, 0, 0, 0, 0, 0, 0, 0, -24389, 0, -93420, 0, 0, 0, 0, 0, 80300, 0, 0, 0, 0, 0, 0, 0, 18630, 0, -45646, 0, 0, 0, 0, 0, 0, 0, -31870, 0, 0, 0, 0, 0, -139430, 0, 0, 0, 0, 0, 0, 0, -41742, 0, -5290, 0, 0, 0, 0, 0, 0, 0, 47322, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26210, 0, 0, 0, 0, 0, 24300, 0, 0, 0, 0, 0, 0, 0, -79900, 0, 0, 0, 0, 0, 0, 0, -6966, 0, 36358, 0, 0, 0, 0, 0, 56270, 0, -83900, 0, 0, 0, 0, 0, 0, 0, 58230, 0, 0, 0, 0, 0, 45990, 0, 0, 0, 0, 0, 0, 0, -29791, 0, -124830, 0, 0, 0, 0, 0, 95400, 0, 162, 0, 0, 0, 0, 0, 17370, 0, -18468, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -82420, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76140, 0, 0, 0, 0, 0, 60154, 0, -114100, 0, 0, 0, 0, 0, -19710, 0, 54306, 0, 0, 0, 0, 0, 65250, 0, 0, 0, 0, 0, 0, 0, 46190, 0, 0, 0, 0, 0, 0, 0, 60300, 0, 0, 0, 0, 0, 0, 0, 50814, 0, 64402, 0, 0, 0, 0, 0, 0, 0, -47700, 0, 0, 0, 0, 0, 0, 0, -34380, 0, 0, 0, 0, 0, 0, 0, -36250, 0, 0, 0, 0, 0, 0, 0, -43770, 0, 0, 0, 0, 0, -73511, 0, 71478, 0, 0, 0, 0, 0, -70290, 0, 0, 0, 0, 0, 0, 0, 0, 0, 240120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 89676, 0, -29450, 0, 0, 0, 0, 0, 1334, 0, 0, 0, 0, 0, 0, 0, -116660, 0, 6300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6910, 0, 0, 0, 0, 0, 0, 0, -133400, 0, 72450, 0, 0, 0, 0, 0, 0, 0, -80138, 0, 0, 0, 0, 0, -30780, 0, -90666, 0, 0, 0, 0, 0, 0, 0, 52470, 0, 0, 0, 0, 0, -80370, 0, 0, 0, 0, 0, 0, 0, 47698, 0, -70020, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46530, 0, 0, 0, 0, 0, 0, 0, 42875, 0, 163460, 0, 0, 0, 0, 0, -164250, 0, 0, 0, 0, 0, 0, 0, 38700, 0, -4860, 0, 0, 0, 0, 0, -6014, 0, 107602, 0, 0, 0, 0, 0, 167940, 0, -22446, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7420, 0, 112500, 0, 0, 0, 0, 0, 0, 0, 88470, 0, 0, 0, 0, 0, -32274, 0, 29522, 0, 0, 0, 0, 0, -70630, 0, 55100, 0, 0, 0, 0, 0, 0, 0, -54270, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 85462, 0, 157780, 0, 0, 0, 0, 0, 182700, 0, -42084, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -175140, 0, 0, 0, 0, 0, 93960, 0, 0, 0, 0, 0, 0, 0, 24282, 0, 0, 0, 0, 0, 0, 0, -50653, 0, -180700, 0, 0, 0, 0, 0, 236610, 0, 0, 0, 0, 0, 0, 0, 0, 0, -45580, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -150300, 0, 0, 0, 0, 0, 0, 0, -103446, 0, 121500, 0, 0, 0, 0, 0, 0, 0, -52200, 0, 0, 0, 0, 0, -132500, 0, 4950, 0, 0, 0, 0, 0, 71550, 0, 0, 0, 0, 0, 0, 0, -22356, 0, 0, 0, 0, 0, 0, 0, 0, 0, -77598, 0, 0, 0, 0, 0, 0, 0, -8746, 0, 0, 0, 0, 0, 0, 0, -70810, 0, 0, 0, 0, 0, 122220, 0, 105750, 0, 0, 0, 0, 0, 5742, 0, 43490, 0, 0, 0, 0, 0, -63974, 0, 0, 0, 0, 0, 0, 0, -182140, 0, 114786, 0, 0, 0, 0, 0, 0, 0, -40500, 0, 0, 0, 0, 0, -92340, 0, 0, 0, 0, 0, 0, 0, -160381, 0, -118170, 0, 0, 0, 0, 0, 26532, 0, -65342, 0, 0, 0, 0, 0, 0, 0, -278674, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -111150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 91620, 0, 0, 0, 0, 0, 47500, 0, -106938, 0, 0, 0, 0, 0, -143100, 0, -93566, 0, 0, 0, 0, 0, 0, 0, 121670, 0, 0, 0, 0, 0, 389160, 0, 0, 0, 0, 0, 0, 0, -29502, 0, 0, 0, 0, 0, 0, 0, -60946, 0, -279882, 0, 0, 0, 0, 0, 61740, 0, -95706, 0, 0, 0, 0, 0, 0, 0, 109330, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 218500, 0, 0, 0, 0, 0, 0, 0, -171900, 0, 0, 0, 0, 0, 0, 0, -37370, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42570, 0, 0, 0, 0, 0, 0, 0, -8750, 0, 0, 0, 0, 0, 203563, 0, 118260, 0, 0, 0, 0, 0, -236700, 0, 108756, 0, 0, 0, 0, 0, 117450, 0, 133414, 0, 0, 0, 0, 0, 0, 0, 23940, 0, 0, 0, 0, 0, 270380, 0, 0, 0, 0, 0, 0, 0, 71838, 0, 104690, 0, 0, 0, 0, 0, 0, 0, 195500, 0, 0, 0, 0, 0, 152570, 0, 0, 0, 0, 0, 0, 0, 0, 0, -138890, 0, 0, 0, 0, 0, -120130, 0, 0, 0, 0, 0, 0, 0, 103500, 0, -151380, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -141550, 0, 261900, 0, 0, 0, 0, 0, 0, 0, -132030, 0, 0, 0, 0, 0, -17460, 0, 0, 0, 0, 0, 0, 0, 10798, 0, -143980, 0, 0, 0, 0, 0, -32200, 0, -71082, 0, 0, 0, 0, 0, 0, 0, -153900, 0, 0, 0, 0, 0, -53750, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 202460, 0, 0, 0, 0, 0, 4593, 0, 285300, 0, 0, 0, 0, 0, -307060, 0, -39546, 0, 0, 0, 0, 0, 0, 0, 154370, 0, 0, 0, 0, 0, 50330, 0, -156250, 0, 0, 0, 0, 0, -139284, 0, 0, 0, 0, 0, 0, 0, -86526, 0, 0, 0, 0, 0, 0, 0, 0, 0, 446614, 0, 0, 0, 0, 0, 0, 0, 144630, 0, 0, 0, 0, 0, 26910, 0, 0, 0, 0, 0, 0, 0, -24300, 0, 66780, 0, 0, 0, 0, 0, -285500, 0, -34542, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 152280, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69012, 0, -197800, 0, 0, 0, 0, 0, 297540, 0, -163134, 0, 0, 0, 0, 0, 0, 0, 176870, 0, 0, 0, 0, 0, 151670, 0, 0, 0, 0, 0, 0, 0, 0, 0, -102330, 0, 0, 0, 0, 0, 179046, 0, 117218, 0, 0, 0, 0, 0, -42550, 0, 191900, 0, 0, 0, 0, 0, -328625, 0, -181710, 0, 0, 0, 0, 0, 181260, 0, 0, 0, 0, 0, 0, 0, 0, 0, -479610, 0, 0, 0, 0, 0, -119700, 0, 0, 0, 0, 0, 0, 0, -90630, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19780, 0, -168750, 0, 0, 0, 0, 0, 179658, 0, -187450, 0, 0, 0, 0, 0, 173774, 0, 469800, 0, 0, 0, 0, 0, 440190, 0, 16614, 0, 0, 0, 0, 0, 0, 0, -99470, 0, 0, 0, 0, 0, 154690, 0, 0, 0, 0, 0, 0, 0, 0, 0, 37620, 0, 0, 0, 0, 0, -109134, 0, 27142, 0, 0, 0, 0, 0, 84710, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28620, 0, 0, 0, 0, 0, -147690, 0, 0, 0, 0, 0, 0, 0, 191482, 0, 0, 0, 0, 0, 0, 0, -89206, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13066, 0, 0, 0, 0, 0, 0, 0, -302680, 0, 0, 0, 0, 0, -261000, 0, 0, 0, 0, 0, 0, 0, 0, 0, 65090, 0, 0, 0, 0, 0, -103823, 0, -12600, 0, 0, 0, 0, 0, 360740, 0, 0, 0, 0, 0, 0, 0, 128250, 0, -111780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -621000, 0, 50310, 0, 0, 0, 0, 0, 0, 0, 94498, 0, 0, 0, 0, 0, 0, 0, -314046, 0, 0, 0, 0, 0, 0, 0, -116910, 0, 0, 0, 0, 0, 177570, 0, 0, 0, 0, 0, 0, 0, 187342, 0, -341820, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -214650, 0, 106742, 0, 0, 0, 0, 0, 0, 0, -401060, 0, 0, 0, 0, 0, -282510, 0, 0, 0, 0, 0, 0, 0, 110124, 0, 0, 0, 0, 0, 0, 0, -202500, 0, 0, 0, 0, 0, 0, 0, -553320, 0, -175626, 0, 0, 0, 0, 0, 0, 0, 165490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -69500, 0, 132660, 0, 0, 0, 0, 0, 0, 0, -161962, 0, 0, 0, 0, 0, -156170, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 123390, 0, 0, 0, 0, 0, 0, 0, 117649, 0, 471960, 0, 0, 0, 0, 0, -77400, 0, -233118, 0, 0, 0, 0, 0, 76410, 0, 441612, 0, 0, 0, 0, 0, 238750, 0, 143460, 0, 0, 0, 0, 0, 375820, 0, 0, 0, 0, 0, 0, 0, 195822, 0, 0, 0, 0, 0, 0, 0, 0, 0, 307400, 0, 0, 0, 0, 0, 0, 0, -44046, 0, 0, 0, 0, 0, 0, 0, -212330, 0, 0, 0, 0, 0, -214130, 0, -164250, 0, 0, 0, 0, 0, -234900, 0, 0, 0, 0, 0, 0, 0, 131652, 0, 0, 0, 0, 0, 0, 0, -118260, 0, 308700, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 154438, 0, 243890, 0, 0, 0, 0, 0, 681966, 0, -130842, 0, 0, 0, 0, 0, -245340, 0, -234574, 0, 0, 0, 0, 0, 0, 0, -586190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108540, 0, 0, 0, 0, 0, 0, 0, -186300, 0, 0, 0, 0, 0, 456460, 0, 128934, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15550, 0, 0, 0, 0, 0, 0, 0, 232651, 0, 238500, 0, 0, 0, 0, 0, -262854, 0, 0, 0, 0, 0, 0, 0, 77510, 0, 878600, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 255510, 0, 0, 0, 0, 0, 0, 0, -156244, 0, 417420, 0, 0, 0, 0, 0, 52900, 0, -21996, 0, 0, 0, 0, 0, -238590, 0, -80746, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -249660, 0, 213750, 0, 0, 0, 0, 0, 0, 0, -220430, 0, 0, 0, 0, 0, 150626, 0, 0, 0, 0, 0, 0, 0, 0, 0, 235314, 0, 0, 0, 0, 0, 0, 0, 276230, 0, 0, 0, 0, 0, -168410, 0, 0, 0, 0, 0, 0, 0, -262100, 0, 0, 0, 0, 0, 0, 0, 226134, 0, -68542, 0, 0, 0, 0, 0, 0, 0, -243000, 0, 0, 0, 0, 0, 0, 0, -36540, 0, 0, 0, 0, 0, -272790, 0, 0, 0, 0, 0, 0, 0, -77436, 0, 583270, 0, 0, 0, 0, 0, 0, 0, -87300, 0, 0, 0, 0, 0, -292410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 69660, 0, 0, 0, 0, 0, -363580, 0, 0, 0, 0, 0, 0, 0, -204102, 0, -295450, 0, 0, 0, 0, 0, -148877, 0, -562700, 0, 0, 0, 0, 0, 612470, 0, -146394, 0, 0, 0, 0, 0, 33750, 0, -69660, 0, 0, 0, 0, 0, -145550, 0, 0, 0, 0, 0, 0, 0, -582300, 0, 191250, 0, 0, 0, 0, 0, 0, 0, 102998, 0, 0, 0, 0, 0, 24910, 0, -459900, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -197730, 0, 0, 0, 0, 0, 0, 0, 20300, 0, 297910, 0, 0, 0, 0, 0, 786600, 0, 290178, 0, 0, 0, 0, 0, 51930, 0, 0, 0, 0, 0, 0, 0, 0, 0, -696420, 0, 0, 0, 0, 0, -1620, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -173700, 0, 0, 0, 0, 0, 184680, 0, 161874, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -281770, 0, 0, 0, 0, 0, 0, 0, 0, 0, 239670, 0, 0, 0, 0, 0, 154494, 0, -246238, 0, 0, 0, 0, 0, 0, 0, 601666, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224460, 0, 0, 0, 0, 0, 0, 0]}