# Stored data for newform 2304.4.a.h, downloaded from the LMFDB on 11 December 2025.
{"Nk2": 36864, "analytic_conductor": 135.94040065322636, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, -1], [3, -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": [2304, 1, [1279, 2053, 1793], [1, 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": [[5, [0, 1]], [7, [0, 1]], [11, [18, 1]], [13, [0, 1]], [17, [90, 1]], [19, [106, 1]]], "hecke_orbit": 8, "hecke_orbit_code": 31525197458704640, "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": "2304.4.a.h", "level": 2304, "level_is_powerful": true, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": true, "level_is_squarefree": false, "level_primes": [2, 3], "level_radical": 6, "minimal_twist": "64.4.b.a", "nf_label": "1.1.1.1", "prim_orbit_index": 1, "qexp_display": "q-18q^{11}-90q^{17}-106q^{19}-5^{3}q^{25}+\\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": "2304.4.a", "trace_display": [0, 0, 0, 0], "trace_hash": 1728981424024939447, "trace_moments": [{"__RealLiteral__": 0, "data": "0.048", "prec": 17}, {"__RealLiteral__": 0, "data": "0.985", "prec": 17}, {"__RealLiteral__": 0, "data": "0.144", "prec": 17}, {"__RealLiteral__": 0, "data": "2.935", "prec": 17}, {"__RealLiteral__": 0, "data": "0.537", "prec": 17}, {"__RealLiteral__": 0, "data": "9.689", "prec": 17}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.508", "prec": 17}, "traces": [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -90, 0, -106, 0, 0, 0, 0, 0, -125, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 522, 0, 290, 0, 0, 0, 0, 0, -343, 0, 0, 0, 0, 0, 0, 0, 0, 0, 846, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 430, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1350, 0, 0, 0, 0, 0, 1026, 0, 0, 0, 0, 0, 0, 0, -1910, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1710, 0, 0, 0, 0, 0, 270, 0, 0, 0, 0, 0, 0, 0, -1007, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1242, 0, 0, 0, 0, 0, 2250, 0, 1474, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -970, 0, 0, 0, 0, 0, -2197, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3834, 0, 0, 0, 0, 0, 0, 0, 1620, 0, 0, 0, 0, 0, 2090, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1908, 0, 6118, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6570, 0, 0, 0, 0, 0, -6030, 0, 0, 0, 0, 0, 0, 0, -1222, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4302, 0, 0, 0, 0, 0, 3870, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2250, 0, 0, 0, 0, 0, -9342, 0, -8030, 0, 0, 0, 0, 0, 3187, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7990, 0, 0, 0, 0, 0, 8390, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9540, 0, 0, 0, 0, 0, 0, 0, 8242, 0, 0, 0, 0, 0, 11410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6030, 0, 0, 0, 0, 0, -4770, 0, 0, 0, 0, 0, 0, 0, 4377, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11666, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7002, 0, 0, 0, 0, 0, 0, 0, -16346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16794, 0, 0, 0, 0, 0, 11250, 0, 0, 0, 0, 0, 0, 0, -5510, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18270, 0, 0, 0, 0, 0, -17514, 0, -9396, 0, 0, 0, 0, 0, 18070, 0, 0, 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, 0, 0, 12222, 0, 0, 0, 0, 0, 0, 0, 18214, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9162, 0, -4750, 0, 0, 0, 0, 0, -12167, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6174, 0, 0, 0, 0, 0, 0, 0, -21850, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23670, 0, 0, 0, 0, 0, 2394, 0, -27038, 0, 0, 0, 0, 0, -19550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10350, 0, 0, 0, 0, 0, 26190, 0, 0, 0, 0, 0, 0, 0, 14398, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28530, 0, 30706, 0, 0, 0, 0, 0, 15625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6678, 0, 28550, 0, 0, 0, 0, 0, -15228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29754, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19190, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11970, 0, 0, 0, 0, 0, 0, 0, -1978, 0, 0, 0, 0, 0, -46980, 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, -26100, 0, 0, 0, 0, 0, -1260, 0, -36074, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34182, 0, 0, 0, 0, 0, 0, 0, 40106, 0, 0, 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, 0, 0, -7740, 0, 0, 0, 0, 0, 14346, 0, -37582, 0, 0, 0, 0, 0, -30740, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23490, 0, 0, 0, 0, 0, 30870, 0, 0, 0, 0, 0, 0, 0, -24389, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18630, 0, -45646, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41742, 0, -5290, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 6966, 0, 36358, 0, 0, 0, 0, 0, 56270, 0, 0, 0, 0, 0, 0, 0, 0, 0, -58230, 0, 0, 0, 0, 0, -45990, 0, 0, 0, 0, 0, 0, 0, -29791, 0, 0, 0, 0, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, -17370, 0, -18468, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76140, 0, 0, 0, 0, 0, 60154, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54306, 0, 0, 0, 0, 0, -65250, 0, 0, 0, 0, 0, 0, 0, 46190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50814, 0, 64402, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34380, 0, 0, 0, 0, 0, 0, 0, -36250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -71478, 0, 0, 0, 0, 0, 70290, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, -6300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6910, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72450, 0, 0, 0, 0, 0, 0, 0, -80138, 0, 0, 0, 0, 0, -30780, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52470, 0, 0, 0, 0, 0, 80370, 0, 0, 0, 0, 0, 0, 0, 47698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -46530, 0, 0, 0, 0, 0, 0, 0, 42875, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38700, 0, -4860, 0, 0, 0, 0, 0, -6014, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22446, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7420, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88470, 0, 0, 0, 0, 0, 32274, 0, 29522, 0, 0, 0, 0, 0, -70630, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54270, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 85462, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42084, 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, -24282, 0, 0, 0, 0, 0, 0, 0, -50653, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -45580, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 103446, 0, 121500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, -105750, 0, 0, 0, 0, 0, -5742, 0, 43490, 0, 0, 0, 0, 0, -63974, 0, 0, 0, 0, 0, 0, 0, 0, 0, -114786, 0, 0, 0, 0, 0, 0, 0, -40500, 0, 0, 0, 0, 0, -92340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 118170, 0, 0, 0, 0, 0, -26532, 0, -65342, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 111150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 106938, 0, 0, 0, 0, 0, 143100, 0, -93566, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29502, 0, 0, 0, 0, 0, 0, 0, -60946, 0, 0, 0, 0, 0, 0, 0, 0, 0, 95706, 0, 0, 0, 0, 0, 0, 0, 109330, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, -108756, 0, 0, 0, 0, 0, -117450, 0, 133414, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -71838, 0, 104690, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -138890, 0, 0, 0, 0, 0, -120130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 151380, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -141550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132030, 0, 0, 0, 0, 0, 17460, 0, 0, 0, 0, 0, 0, 0, 10798, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 39546, 0, 0, 0, 0, 0, 0, 0, 154370, 0, 0, 0, 0, 0, 50330, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 86526, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144630, 0, 0, 0, 0, 0, -26910, 0, 0, 0, 0, 0, 0, 0, -24300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34542, 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, -69012, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 181710, 0, 0, 0, 0, 0, -181260, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90630, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168750, 0, 0, 0, 0, 0, -179658, 0, -187450, 0, 0, 0, 0, 0, 173774, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13066, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 65090, 0, 0, 0, 0, 0, -103823, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128250, 0, -111780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50310, 0, 0, 0, 0, 0, 0, 0, 94498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116910, 0, 0, 0, 0, 0, -177570, 0, 0, 0, 0, 0, 0, 0, 187342, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 214650, 0, 106742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -110124, 0, 0, 0, 0, 0, 0, 0, -202500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 175626, 0, 0, 0, 0, 0, 0, 0, 165490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 233118, 0, 0, 0, 0, 0, -76410, 0, 441612, 0, 0, 0, 0, 0, 238750, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -195822, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44046, 0, 0, 0, 0, 0, 0, 0, -212330, 0, 0, 0, 0, 0, -214130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -131652, 0, 0, 0, 0, 0, 0, 0, -118260, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 154438, 0, 0, 0, 0, 0, 0, 0, 0, 0, 130842, 0, 0, 0, 0, 0, 245340, 0, -234574, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108540, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128934, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15550, 0, 0, 0, 0, 0, 0, 0, 0, 0, -238500, 0, 0, 0, 0, 0, 262854, 0, 0, 0, 0, 0, 0, 0, 77510, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -255510, 0, 0, 0, 0, 0, 0, 0, -156244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21996, 0, 0, 0, 0, 0, 238590, 0, -80746, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, -226134, 0, -68542, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36540, 0, 0, 0, 0, 0, 272790, 0, 0, 0, 0, 0, 0, 0, -77436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 87300, 0, 0, 0, 0, 0, 292410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204102, 0, -295450, 0, 0, 0, 0, 0, -148877, 0, 0, 0, 0, 0, 0, 0, 0, 0, 146394, 0, 0, 0, 0, 0, -33750, 0, -69660, 0, 0, 0, 0, 0, -145550, 0, 0, 0, 0, 0, 0, 0, 0, 0, -191250, 0, 0, 0, 0, 0, 0, 0, 102998, 0, 0, 0, 0, 0, 24910, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 197730, 0, 0, 0, 0, 0, 0, 0, 20300, 0, 0, 0, 0, 0, 0, 0, 0, 0, -290178, 0, 0, 0, 0, 0, -51930, 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, -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, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, -90, 0, -106, 0, 0, 0, 0, 0, -125, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 522, 0, 290, 0, 0, 0, 0, 0, -343, 0, 0, 0, 0, 0, 0, 0, 0, 0, 846, 0, 0, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 430, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1350, 0, 0, 0, 0, 0, 1026, 0, 0, 0, 0, 0, 0, 0, -1910, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1710, 0, 0, 0, 0, 0, 270, 0, 0, 0, 0, 0, 0, 0, -1007, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1242, 0, 0, 0, 0, 0, 2250, 0, 1474, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -970, 0, 0, 0, 0, 0, -2197, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3834, 0, 0, 0, 0, 0, 0, 0, 1620, 0, 0, 0, 0, 0, 2090, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1908, 0, 6118, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6570, 0, 0, 0, 0, 0, -6030, 0, 0, 0, 0, 0, 0, 0, -1222, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4302, 0, 0, 0, 0, 0, 3870, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2250, 0, 0, 0, 0, 0, -9342, 0, -8030, 0, 0, 0, 0, 0, 3187, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7990, 0, 0, 0, 0, 0, 8390, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9540, 0, 0, 0, 0, 0, 0, 0, 8242, 0, 0, 0, 0, 0, 11410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6030, 0, 0, 0, 0, 0, -4770, 0, 0, 0, 0, 0, 0, 0, 4377, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11666, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7002, 0, 0, 0, 0, 0, 0, 0, -16346, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16794, 0, 0, 0, 0, 0, 11250, 0, 0, 0, 0, 0, 0, 0, -5510, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18270, 0, 0, 0, 0, 0, -17514, 0, -9396, 0, 0, 0, 0, 0, 18070, 0, 0, 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, 0, 0, 12222, 0, 0, 0, 0, 0, 0, 0, 18214, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9162, 0, -4750, 0, 0, 0, 0, 0, -12167, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6174, 0, 0, 0, 0, 0, 0, 0, -21850, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23670, 0, 0, 0, 0, 0, 2394, 0, -27038, 0, 0, 0, 0, 0, -19550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10350, 0, 0, 0, 0, 0, 26190, 0, 0, 0, 0, 0, 0, 0, 14398, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28530, 0, 30706, 0, 0, 0, 0, 0, 15625, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6678, 0, 28550, 0, 0, 0, 0, 0, -15228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29754, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -19190, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11970, 0, 0, 0, 0, 0, 0, 0, -1978, 0, 0, 0, 0, 0, -46980, 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, -26100, 0, 0, 0, 0, 0, -1260, 0, -36074, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34182, 0, 0, 0, 0, 0, 0, 0, 40106, 0, 0, 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, 0, 0, -7740, 0, 0, 0, 0, 0, 14346, 0, -37582, 0, 0, 0, 0, 0, -30740, 0, 0, 0, 0, 0, 0, 0, 0, 0, -23490, 0, 0, 0, 0, 0, 30870, 0, 0, 0, 0, 0, 0, 0, -24389, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18630, 0, -45646, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 41742, 0, -5290, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 6966, 0, 36358, 0, 0, 0, 0, 0, 56270, 0, 0, 0, 0, 0, 0, 0, 0, 0, -58230, 0, 0, 0, 0, 0, -45990, 0, 0, 0, 0, 0, 0, 0, -29791, 0, 0, 0, 0, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, -17370, 0, -18468, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76140, 0, 0, 0, 0, 0, 60154, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54306, 0, 0, 0, 0, 0, -65250, 0, 0, 0, 0, 0, 0, 0, 46190, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50814, 0, 64402, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34380, 0, 0, 0, 0, 0, 0, 0, -36250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -71478, 0, 0, 0, 0, 0, 70290, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, -6300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6910, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72450, 0, 0, 0, 0, 0, 0, 0, -80138, 0, 0, 0, 0, 0, -30780, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52470, 0, 0, 0, 0, 0, 80370, 0, 0, 0, 0, 0, 0, 0, 47698, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -46530, 0, 0, 0, 0, 0, 0, 0, 42875, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38700, 0, -4860, 0, 0, 0, 0, 0, -6014, 0, 0, 0, 0, 0, 0, 0, 0, 0, 22446, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -7420, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88470, 0, 0, 0, 0, 0, 32274, 0, 29522, 0, 0, 0, 0, 0, -70630, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54270, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 85462, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42084, 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, -24282, 0, 0, 0, 0, 0, 0, 0, -50653, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -45580, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 103446, 0, 121500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, -105750, 0, 0, 0, 0, 0, -5742, 0, 43490, 0, 0, 0, 0, 0, -63974, 0, 0, 0, 0, 0, 0, 0, 0, 0, -114786, 0, 0, 0, 0, 0, 0, 0, -40500, 0, 0, 0, 0, 0, -92340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 118170, 0, 0, 0, 0, 0, -26532, 0, -65342, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 111150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 106938, 0, 0, 0, 0, 0, 143100, 0, -93566, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29502, 0, 0, 0, 0, 0, 0, 0, -60946, 0, 0, 0, 0, 0, 0, 0, 0, 0, 95706, 0, 0, 0, 0, 0, 0, 0, 109330, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, -108756, 0, 0, 0, 0, 0, -117450, 0, 133414, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -71838, 0, 104690, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -138890, 0, 0, 0, 0, 0, -120130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 151380, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -141550, 0, 0, 0, 0, 0, 0, 0, 0, 0, 132030, 0, 0, 0, 0, 0, 17460, 0, 0, 0, 0, 0, 0, 0, 10798, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 39546, 0, 0, 0, 0, 0, 0, 0, 154370, 0, 0, 0, 0, 0, 50330, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 86526, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144630, 0, 0, 0, 0, 0, -26910, 0, 0, 0, 0, 0, 0, 0, -24300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34542, 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, -69012, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 181710, 0, 0, 0, 0, 0, -181260, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90630, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168750, 0, 0, 0, 0, 0, -179658, 0, -187450, 0, 0, 0, 0, 0, 173774, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13066, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 65090, 0, 0, 0, 0, 0, -103823, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128250, 0, -111780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -50310, 0, 0, 0, 0, 0, 0, 0, 94498, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116910, 0, 0, 0, 0, 0, -177570, 0, 0, 0, 0, 0, 0, 0, 187342, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 214650, 0, 106742, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -110124, 0, 0, 0, 0, 0, 0, 0, -202500, 0, 0, 0, 0, 0, 0, 0, 0, 0, 175626, 0, 0, 0, 0, 0, 0, 0, 165490, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 233118, 0, 0, 0, 0, 0, -76410, 0, 441612, 0, 0, 0, 0, 0, 238750, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -195822, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44046, 0, 0, 0, 0, 0, 0, 0, -212330, 0, 0, 0, 0, 0, -214130, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -131652, 0, 0, 0, 0, 0, 0, 0, -118260, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 154438, 0, 0, 0, 0, 0, 0, 0, 0, 0, 130842, 0, 0, 0, 0, 0, 245340, 0, -234574, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 108540, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128934, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -15550, 0, 0, 0, 0, 0, 0, 0, 0, 0, -238500, 0, 0, 0, 0, 0, 262854, 0, 0, 0, 0, 0, 0, 0, 77510, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -255510, 0, 0, 0, 0, 0, 0, 0, -156244, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21996, 0, 0, 0, 0, 0, 238590, 0, -80746, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, -226134, 0, -68542, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36540, 0, 0, 0, 0, 0, 272790, 0, 0, 0, 0, 0, 0, 0, -77436, 0, 0, 0, 0, 0, 0, 0, 0, 0, 87300, 0, 0, 0, 0, 0, 292410, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 204102, 0, -295450, 0, 0, 0, 0, 0, -148877, 0, 0, 0, 0, 0, 0, 0, 0, 0, 146394, 0, 0, 0, 0, 0, -33750, 0, -69660, 0, 0, 0, 0, 0, -145550, 0, 0, 0, 0, 0, 0, 0, 0, 0, -191250, 0, 0, 0, 0, 0, 0, 0, 102998, 0, 0, 0, 0, 0, 24910, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 197730, 0, 0, 0, 0, 0, 0, 0, 20300, 0, 0, 0, 0, 0, 0, 0, 0, 0, -290178, 0, 0, 0, 0, 0, -51930, 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, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224460, 0, 0, 0, 0, 0, 0, 0]}