# Stored data for newform 1040.4.k.d, downloaded from the LMFDB on 25 September 2025.
{"Nk2": 16640, "analytic_conductor": 61.36198640597024, "analytic_rank": 0, "analytic_rank_proved": true, "char_conductor": 13, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 11, "char_orbit_label": "k", "char_order": 2, "char_parity": 1, "char_values": [1040, 2, [911, 261, 417, 561], [2, 2, 2, 1]], "cm_discs": [], "conrey_index": 961, "dim": 14, "field_disc": -136893872481510336863478988179117441024, "field_disc_factorization": [[-1, 1], [2, 18], [3, 8], [13, 2], [195761, 2], [110858117, 2]], "field_poly": [9216, 0, 339456, 0, 727552, 0, 278769, 0, 40048, 0, 2674, 0, 84, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "has_non_self_twist": 1, "hecke_cutters": [[3, [45496, -53196, 196, 5188, -8, -134, 0, 1]]], "hecke_orbit": 4, "hecke_orbit_code": 13511486143988752, "hecke_ring_generator_nbound": 13, "hecke_ring_index": 320000, "hecke_ring_index_factorization": [[2, 9], [5, 4]], "hecke_ring_index_proved": true, "inner_twist_count": 2, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": false, "is_self_twist": false, "is_twist_minimal": false, "label": "1040.4.k.d", "level": 1040, "level_is_powerful": false, "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, 13], "level_radical": 130, "minimal_twist": "65.4.c.a", "prim_orbit_index": 2, "qexp_display": "q-\\beta _{4}q^{3}+\\beta _{7}q^{5}+(-\\beta _{1}+2\\beta _{7}+\\beta _{10}+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 14, "rm_discs": [], "sato_tate_group": "3.2.3.c2", "self_twist_discs": [], "self_twist_type": 0, "space_label": "1040.4.k", "trace_display": [0, 0, 0, 0], "trace_hash": 1274999890960710534, "trace_moments": [{"__RealLiteral__": 0, "data": "0.021", "prec": 17}, {"__RealLiteral__": 0, "data": "12.017", "prec": 20}, {"__RealLiteral__": 0, "data": "2.040", "prec": 17}, {"__RealLiteral__": 0, "data": "783.291", "prec": 24}, {"__RealLiteral__": 0, "data": "282.150", "prec": 24}, {"__RealLiteral__": 0, "data": "75130.929", "prec": 30}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.509", "prec": 17}, "traces": [0, 14, 0, 0, 0, 0, 0, 0, 0, 158, 0, 0, 0, -4, 0, 0, 0, -100, 0, 0, 0, 0, 0, 532, 0, -350, 0, 48, 0, 588, 0, 0, 0, 0, 0, -540, 0, 0, 0, 260, 0, 0, 0, -728, 0, 0, 0, 0, 0, -1302, 0, -176, 0, 1040, 0, 40, 0, 0, 0, 0, 0, -1460, 0, 0, 0, -30, 0, 0, 0, 4160, 0, 0, 0, 0, 0, 0, 0, -3568, 0, 1024, 0, -2890, 0, 0, 0, 0, 0, -5256, 0, 0, 0, -916, 0, 0, 0, 3120, 0, 0, 0, 0, 0, 1924, 0, -1796, 0, 1320, 0, 4192, 0, 0, 0, 0, 0, -1356, 0, 0, 0, -2932, 0, 0, 0, 6082, 0, 0, 0, 0, 0, 5676, 0, -4808, 0, -1560, 0, 10576, 0, 0, 0, 0, 0, 776, 0, 0, 0, 1324, 0, 0, 0, 920, 0, 0, 0, 0, 0, -14644, 0, -2700, 0, 11096, 0, 1576, 0, 0, 0, 0, 0, -1240, 0, 0, 0, 10954, 0, 0, 0, -1552, 0, 0, 0, 0, 0, -8256, 0, -332, 0, 4384, 0, 4700, 0, 0, 0, 0, 0, 5416, 0, 0, 0, 780, 0, 0, 0, 1744, 0, 0, 0, 0, 0, -6280, 0, -13748, 0, -7480, 0, 22144, 0, 0, 0, 0, 0, -11472, 0, 0, 0, -2480, 0, 0, 0, -3950, 0, 0, 0, 0, 0, -34928, 0, 2220, 0, -3860, 0, -20256, 0, 0, 0, 0, 0, 3576, 0, 0, 0, 12812, 0, 0, 0, -632, 0, 0, 0, 0, 0, 27532, 0, -7160, 0, -12852, 0, -36852, 0, 0, 0, 0, 0, -9836, 0, 0, 0, 27904, 0, 0, 0, 19680, 0, 0, 0, 0, 0, 21440, 0, 8760, 0, -15992, 0, -4678, 0, 0, 0, 0, 0, 2480, 0, 0, 0, 22484, 0, 0, 0, 67256, 0, 0, 0, 0, 0, -15488, 0, 4312, 0, -9364, 0, -28020, 0, 0, 0, 0, 0, 18584, 0, 0, 0, 100, 0, 0, 0, 16296, 0, 0, 0, 0, 0, 16460, 0, -31468, 0, 5088, 0, -32904, 0, 0, 0, 0, 0, -8464, 0, 0, 0, 46280, 0, 0, 0, 17180, 0, 0, 0, 0, 0, 17250, 0, -71976, 0, -16100, 0, -12724, 0, 0, 0, 0, 0, -23608, 0, 0, 0, 14440, 0, 0, 0, 87472, 0, 0, 0, 0, 0, -30368, 0, 24564, 0, -8136, 0, 80544, 0, 0, 0, 0, 0, -18832, 0, 0, 0, -9360, 0, 0, 0, -10992, 0, 0, 0, 0, 0, -90384, 0, -2260, 0, -52560, 0, 48152, 0, 0, 0, 0, 0, 2500, 0, 0, 0, 2624, 0, 0, 0, -61996, 0, 0, 0, 0, 0, -17024, 0, -84822, 0, -9040, 0, 34200, 0, 0, 0, 0, 0, -34128, 0, 0, 0, -26240, 0, 0, 0, 5680, 0, 0, 0, 0, 0, -19680, 0, 94112, 0, 40088, 0, 101240, 0, 0, 0, 0, 0, -35584, 0, 0, 0, -32380, 0, 0, 0, -19820, 0, 0, 0, 0, 0, -88048, 0, 61160, 0, -23480, 0, 6720, 0, 0, 0, 0, 0, -47172, 0, 0, 0, 33904, 0, 0, 0, -89752, 0, 0, 0, 0, 0, 69296, 0, -38504, 0, -24340, 0, -39864, 0, 0, 0, 0, 0, 13310, 0, 0, 0, 63248, 0, 0, 0, 86160, 0, 0, 0, 0, 0, 132744, 0, 9900, 0, -31608, 0, -61892, 0, 0, 0, 0, 0, 52600, 0, 0, 0, 9060, 0, 0, 0, 118552, 0, 0, 0, 0, 0, -5844, 0, 48120, 0, 49184, 0, -13300, 0, 0, 0, 0, 0, 40728, 0, 0, 0, 20130, 0, 0, 0, 11592, 0, 0, 0, 0, 0, 30800, 0, -25008, 0, 40496, 0, -54196, 0, 0, 0, 0, 0, 5676, 0, 0, 0, 17124, 0, 0, 0, 53080, 0, 0, 0, 0, 0, 82400, 0, -84480, 0, 8750, 0, 26944, 0, 0, 0, 0, 0, -107280, 0, 0, 0, -123004, 0, 0, 0, 118348, 0, 0, 0, 0, 0, 55268, 0, -83432, 0, -28704, 0, 89080, 0, 0, 0, 0, 0, -146696, 0, 0, 0, -173200, 0, 0, 0, -119864, 0, 0, 0, 0, 0, -61348, 0, -1200, 0, 24632, 0, -31000, 0, 0, 0, 0, 0, -49420, 0, 0, 0, 103144, 0, 0, 0, -202288, 0, 0, 0, 0, 0, -13728, 0, -104660, 0, -9512, 0, 79880, 0, 0, 0, 0, 0, -18416, 0, 0, 0, -22180, 0, 0, 0, 51792, 0, 0, 0, 0, 0, -14700, 0, 92668, 0, -103450, 0, 199856, 0, 0, 0, 0, 0, -22144, 0, 0, 0, -85040, 0, 0, 0, -72540, 0, 0, 0, 0, 0, 4344, 0, 179888, 0, -46180, 0, 76928, 0, 0, 0, 0, 0, 165448, 0, 0, 0, 17532, 0, 0, 0, -160576, 0, 0, 0, 0, 0, 158432, 0, -28448, 0, 23224, 0, -102168, 0, 0, 0, 0, 0, 62016, 0, 0, 0, 115560, 0, 0, 0, -110592, 0, 0, 0, 0, 0, 2880, 0, 37720, 0, -152248, 0, -130364, 0, 0, 0, 0, 0, -15900, 0, 0, 0, 13100, 0, 0, 0, 154524, 0, 0, 0, 0, 0, -24860, 0, 35176, 0, -59084, 0, -46620, 0, 0, 0, 0, 0, 78178, 0, 0, 0, -12680, 0, 0, 0, 130760, 0, 0, 0, 0, 0, 11880, 0, -57292, 0, 110544, 0, -102064, 0, 0, 0, 0, 0, -54096, 0, 0, 0, 36604, 0, 0, 0, 13500, 0, 0, 0, 0, 0, 138892, 0, -36080, 0, 57880, 0, -13764, 0, 0, 0, 0, 0, 26592, 0, 0, 0, -169808, 0, 0, 0, -37440, 0, 0, 0, 0, 0, -45728, 0, 203572, 0, 113688, 0, 24064, 0, 0, 0, 0, 0, 199232, 0, 0, 0, -14808, 0, 0, 0, 6172, 0, 0, 0, 0, 0, -121504, 0, 55320, 0, -3796, 0, 91104, 0, 0, 0, 0, 0, -63600, 0, 0, 0, -20204, 0, 0, 0, 12116, 0, 0, 0, 0, 0, -12568, 0, 83618, 0, 113176, 0, 62140, 0, 0, 0, 0, 0, -127744, 0, 0, 0, -6500, 0, 0, 0, -180960, 0, 0, 0, 0, 0, 49700, 0, 297336, 0, -182816, 0, -244856, 0, 0, 0, 0, 0, 173368, 0, 0, 0, -55480, 0, 0, 0, -98600, 0, 0, 0, 0, 0, 73632, 0, -3552, 0, -77200, 0, 257940, 0, 0, 0, 0, 0, -72, 0, 0, 0, 85280, 0, 0, 0, -48888, 0, 0, 0, 0, 0, 191912, 0, -180976, 0, -249272, 0, -165224, 0, 0, 0, 0, 0, 104356, 0, 0, 0, 29564, 0, 0, 0, -216784, 0, 0, 0, 0, 0, 42196, 0, -4160, 0, -266448, 0, -197996, 0, 0, 0, 0, 0, 18200, 0, 0, 0, -151476, 0, 0, 0, -7288, 0, 0, 0, 0, 0, -211022, 0, 71248, 0, 110336, 0, -79240, 0, 0, 0, 0, 0, 239664, 0, 0, 0, -51620, 0, 0, 0, -89076, 0, 0, 0, 0, 0, 28700, 0, -22424, 0, 149112, 0, -78024, 0, 0, 0, 0, 0, 248132, 0, 0, 0, 90536, 0, 0, 0, 15020, 0, 0, 0, 0, 0, -70808, 0, -144756, 0, 30900, 0, -5640, 0, 0, 0, 0, 0, -26332, 0, 0, 0, -50904, 0, 0, 0, 47056, 0, 0, 0, 0, 0, -2256, 0, 97784, 0, 155024, 0, -334176, 0, 0, 0, 0, 0, -12456, 0, 0, 0, -113712, 0, 0, 0, -317056, 0, 0, 0, 0, 0, -5668, 0, 146020, 0, 179584, 0, 102416, 0, 0, 0, 0, 0, -23960, 0, 0, 0, 99528, 0, 0, 0, 64824, 0, 0, 0, 0, 0, -7848, 0, 88128, 0, 156532, 0, 32550, 0, 0, 0, 0, 0, 135080, 0, 0, 0, 83740, 0, 0, 0, 57120, 0, 0, 0, 0, 0, 121960, 0, 332048, 0, 211772, 0, 122408, 0, 0, 0, 0, 0, -401792, 0, 0, 0, 146500, 0, 0, 0, 101400, 0, 0, 0, 0, 0, -21696, 0, 70784, 0, 4400, 0, 166424, 0, 0, 0, 0, 0, -267904, 0, 0, 0, 48844, 0, 0, 0, -138240, 0, 0, 0, 0, 0, -940, 0, -255072, 0, 381724, 0, 402340, 0, 0, 0, 0, 0, 444368, 0, 0, 0, -217992, 0, 0, 0, -172112, 0, 0, 0, 0, 0, -373840, 0, -26000, 0, -215964, 0, -233000, 0, 0, 0, 0, 0, 46080, 0, 0, 0, -206476, 0, 0, 0, 41376, 0, 0, 0, 0, 0, 11640, 0, -203608, 0, 9216, 0, -98540, 0, 0, 0, 0, 0, -426108, 0, 0, 0, -162520, 0, 0, 0, 122366, 0, 0, 0, 0, 0, -1000, 0, -209812, 0, 483608, 0, -69796, 0, 0, 0, 0, 0, 432968, 0, 0, 0, -242052, 0, 0, 0, -185100, 0, 0, 0, 0, 0, -135224, 0, 306160, 0, 16480, 0, -796616, 0, 0, 0, 0, 0, 301640, 0, 0, 0, -181732, 0, 0, 0, -475596, 0, 0, 0, 0, 0, 147384, 0, -76732, 0, -30272, 0, -172484, 0, 0, 0, 0, 0, -312416, 0, 0, 0, -24128, 0, 0, 0, 5732, 0, 0, 0, 0, 0, -126696, 0, 182960, 0, 276096, 0, 412576, 0, 0, 0, 0, 0, -113340, 0, 0, 0, 51536, 0, 0, 0, 577984, 0, 0, 0, 0, 0, 190768, 0, 76468, 0, 226576, 0, -23440, 0, 0, 0, 0, 0, 123120, 0, 0, 0, 55400, 0, 0, 0, 217728, 0, 0, 0, 0, 0, -1960, 0, 64520, 0, 174960, 0, -375496, 0, 0, 0, 0, 0, -292032, 0, 0, 0, 372490, 0, 0, 0, 36500, 0, 0, 0, 0, 0, 186176, 0, -37136, 0, -70100, 0, 554384, 0, 0, 0, 0, 0, -213820, 0, 0, 0, -114080, 0, 0, 0, 579280, 0, 0, 0, 0, 0, -55552, 0, -686096, 0, 140456, 0, 562360, 0, 0, 0, 0, 0, 127304, 0, 0, 0, -92124, 0, 0, 0, 28944, 0, 0, 0, 0, 0, 84956, 0, -202500, 0, -248400, 0, -260808, 0, 0, 0, 0, 0, -82520, 0, 0, 0, -211232, 0, 0, 0, -751904, 0, 0, 0, 0, 0, -573580, 0, -644688, 0, 22992, 0, -23800, 0, 0, 0, 0, 0, 80932, 0, 0, 0, 750, 0, 0, 0, -83276, 0, 0, 0, 0, 0, -349920, 0, -662592, 0, 363536, 0, 318344, 0, 0, 0, 0, 0, 561880, 0, 0, 0, 155404, 0, 0, 0, -86800, 0, 0, 0, 0, 0, -15304, 0, -219268, 0, 89660, 0, -348616, 0, 0, 0, 0, 0, 244528, 0, 0, 0, -263984, 0, 0, 0, -422066, 0, 0, 0, 0, 0, -203896, 0, 224312, 0, -99984, 0, -562224, 0, 0, 0, 0, 0, -176320, 0, 0, 0, 433840, 0, 0, 0, 570864, 0, 0, 0, 0, 0, 55504, 0, 390360, 0, 157400, 0, 453736, 0, 0, 0, 0, 0, -104000, 0, 0, 0, 502056, 0, 0, 0, 624216, 0, 0, 0, 0, 0, -368840, 0, -60684, 0, 336696, 0, 25180, 0, 0, 0, 0, 0, 477240, 0, 0, 0, 109200, 0, 0, 0, 143344, 0, 0, 0, 0, 0, 292780, 0, 349104, 0, -306760, 0, -95504, 0, 0, 0, 0, 0, 46420, 0, 0, 0, 272692, 0, 0, 0, 241120, 0, 0, 0, 0, 0, 572752, 0, 426560, 0, -51780, 0, 1110352, 0, 0, 0, 0, 0, -531696, 0, 0, 0, 181120, 0, 0, 0, 56312, 0, 0, 0, 0, 0, 150672, 0, -494800, 0, -6880, 0, 251596, 0, 0, 0, 0, 0, -203352, 0, 0, 0, -237504, 0, 0, 0, -326864, 0, 0, 0, 0, 0, -507616, 0, -214120, 0, -552988, 0, -261506, 0, 0, 0, 0, 0, -79480, 0, 0, 0, 433736, 0, 0, 0, -204332, 0, 0, 0, 0, 0, -439104, 0, -260312, 0, -677276, 0, 0, 0, 0, 0, 0, 0, 121880, 0, 0, 0, -265580, 0, 0, 0, 94644, 0, 0, 0, 0, 0, 22680, 0, -296656, 0, 138640, 0, 89148, 0, 0, 0, 0, 0, -64816, 0, 0, 0, -398692, 0, 0, 0, -22100, 0, 0, 0, 0, 0, -336008, 0, 853904, 0, 89200, 0, -834776, 0, 0, 0, 0, 0, 201264, 0, 0, 0, 9140, 0, 0, 0, -381632, 0, 0, 0, 0, 0, -516400, 0, 992068, 0, -33176, 0, -954384, 0, 0, 0, 0, 0, -267736, 0, 0, 0, 143656, 0, 0, 0, 259512, 0, 0, 0, 0, 0, 167704, 0, -25600, 0, 322448, 0, 146080, 0, 0, 0, 0, 0, 69860, 0, 0, 0, 454144, 0, 0, 0, 408260, 0, 0, 0, 0, 0, 546912, 0], "weight": 4, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "atkin_lehner_eigenvals": null, "atkin_lehner_string": null, "embedded_related_objects": null, "fricke_eigenval": null, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 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, 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], [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, -1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [11, 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, 0, 0, 0, 0, 0, 0, 0, 0, 1, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-7, 0, 1, -1, 0, -2, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, -9, 0, 2, -1, -1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, -5, -2, -3, 2, -6, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [39, 0, -1, -1, -8, -2, -2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-25, 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], [4, 0, 2, -2, -1, 0, -1, -2, -1, -1, 0, -1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [42, 0, 0, 2, 10, -1, 4, -2, -1, -1, 0, -1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 11, 2, 1, 3, -3, 0, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -6, 0, 0, 0, 0, 0, 2, -1, -5, 7, -7, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-38, 0, 1, 0, -3, -3, -1, 2, 1, 1, 0, 1, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 20, 0, 0, 0, 0, 0, -14, 0, 2, 3, 6, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [18, 10, 3, 6, 10, 7, 0, -8, -2, 1, -5, -1, 2, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 21, 0, 0, 0, 0, 0, 17, -6, 7, 4, 2, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-52, 0, 6, -2, 10, -4, 5, -2, -1, -1, 0, -1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -7, 0, 0, 0, 0, 0, 16, 0, 3, 5, -2, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 17, 0, 0, 0, 0, 0, 8, -4, 6, -5, 12, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-91, 0, -4, 2, -6, -8, -8, 10, 5, 5, 0, 5, -10, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-14, 0, 0, 6, 30, 0, 0, 8, 4, 4, 0, 4, -8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [77, 0, 7, 9, 4, -2, 3, -6, -3, -3, 0, -3, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -4, -3, -1, -3, -1, 2, 1, 1, 0, 1, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -6, 0, 0, 0, 0, 0, -26, 4, 0, 1, 10, 0, 10], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -29, 0, 0, 0, 0, 0, 5, 2, 8, 17, -3, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-102, 0, 2, -10, -8, -7, -2, -4, -2, -2, 0, -2, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 90, 2, 2, 23, -16, 0, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, -3, 3, -1, 0, 1, -3, -2, -2, -5, 5, 0, -1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 33, 0, 0, 0, 0, 0, -60, -12, -16, 3, -2, 0, -6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [290, 0, -20, 4, -10, 19, 2, 6, 3, 3, 0, 3, -6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 36, 0, 0, 0, 0, 0, -40, -2, 5, 9, 11, 0, -15], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 58, -2, -4, 17, 4, 0, -18], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 25, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-253, 0, -11, -9, 54, -18, 3, 4, 2, 2, 0, 2, -4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [72, 0, -28, -8, 26, 2, 2, -4, -2, -2, 0, -2, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-205, 0, -4, 16, -6, 3, 2, -2, -1, -1, 0, -1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9, 0, 0, 0, 0, 0, -22, 4, -16, -19, 6, 0, 32], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -19, 0, 0, 0, 0, 0, -11, 5, -4, -10, 1, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-366, 0, 34, 12, 11, -22, -3, -2, -1, -1, 0, -1, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 26, 0, 0, 0, 0, 0, -96, -4, -6, 30, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-66, -72, 7, 10, -48, 3, 2, 77, 4, -24, 12, -16, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -94, 0, 0, 0, 0, 0, 42, -9, -33, -3, -27, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [223, 0, -12, -1, -20, 1, 2, -4, -2, -2, 0, -2, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 30, 0, 0, 0, 0, 0, 46, -4, 20, 2, -20, 0, 28], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 27, 0, 0, 0, 0, 0, 73, -4, -4, 43, -31, 0, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}