# Stored data for newform 1050.3.f.d, downloaded from the LMFDB on 24 April 2024. {"label": "1050.3.f.d", "space_label": "1050.3.f", "level": 1050, "weight": 3, "hecke_orbit": 4, "hecke_orbit_code": 13511142529827866, "dim": 12, "is_polredabs": true, "trace_hash": 798014715593350319, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[11, [1141308, 422940, 27217, -4780, -462, 8, 1]], [23, [-14928228, 1942260, 320689, -7740, -1294, 0, 1]]], "qexp_display": "q-\\beta _{5}q^{2}+\\beta _{2}q^{3}+2q^{4}-\\beta _{4}q^{6}+(1+\\cdots)q^{7}+\\cdots", "char_order": 2, "char_parity": -1, "char_degree": 1, "char_conductor": 7, "char_orbit_label": "f", "char_is_real": true, "Nk2": 9450, "analytic_conductor": 28.610427757831175, "hecke_ring_index": 64, "level_radical": 210, "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": "0.507", "prec": 17}, "analytic_rank_proved": true, "char_values": [1050, 2, [701, 127, 451], [2, 2, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 2, "level_primes": [2, 3, 5, 7], "conrey_indexes": [601], "field_disc": 63324947075745428910637056, "field_disc_factorization": [[2, 28], [3, 6], [3761, 2], [4783, 2]], "field_poly": [69739201, -8701742, 21002899, 4021754, 4765612, 442438, 229961, 1474, 7600, 14, 103, -2, 1], "hecke_ring_index_factorization": [[2, 6]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.104", "prec": 17}, {"__RealLiteral__": 0, "data": "10.221", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "614.497", "prec": 24}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "61126.109", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "2.2.3.c2", "trace_display": [0, 0, 0, 10], "traces": [0, 12, 0, 0, 24, 0, 0, 10, 0, -36, 0, -16, 0, 0, 8, 0, 48, 0, 0, 0, 0, -6, 48, 0, 0, 0, 0, 0, 20, 48, 0, 0, 0, 0, 0, 0, -72, -64, 0, -12, 0, 0, -24, 108, -32, 0, 80, 0, 0, 118, 0, 72, 0, -176, 0, 0, 16, 132, -128, 0, 0, 0, 0, -30, 96, 0, 0, 4, 0, 0, 0, 248, 0, 0, -64, 0, 0, 396, -48, -208, 0, 108, 0, 0, -12, 0, 128, 0, 96, 0, 0, -158, 0, -252, 0, 0, 0, 0, 240, 48, 0, 0, 0, 0, 0, 0, -304, -576, 0, -212, 0, 0, 40, -56, 96, 0, 96, 0, 0, 324, 0, 524, 0, 48, 0, 0, -24, 768, 0, 0, 0, 0, 0, -238, 480, 0, 0, -232, 0, 0, 0, -216, -112, 0, -144, 0, 0, -246, -128, -480, 0, 436, 0, 0, -280, 0, -24, 0, 112, 0, 0, -44, 0, -356, 0, 0, 0, 0, -48, -144, 0, 0, 216, 0, 0, 0, -64, -72, 0, 1304, 0, 0, 712, 444, 160, 0, 240, 0, 0, 18, 0, 280, 0, -316, 0, 0, 236, -544, -144, 0, 0, 0, 0, 164, 144, 0, 0, 0, 0, 0, 0, 60, -352, 0, -656, 0, 0, -254, -1472, 480, 0, -1832, 0, 0, 32, 0, -528, 0, 264, 0, 0, -396, -256, 1688, 0, 0, 0, 0, 520, -1216, 0, 0, 288, 0, 0, 0, -240, 228, 0, -696, 0, 0, -60, 1944, -336, 0, 192, 0, 0, 132, 0, -144, 0, -1640, 0, 0, 512, 720, 8, 0, 0, 0, 0, -846, 416, 0, 0, -956, 0, 0, 0, 1152, 336, 0, 496, 0, 0, -584, 0, 844, 0, 636, 0, 0, -144, 0, -128, 0, 1808, 0, 0, -846, -640, -1056, 0, 0, 0, 0, 792, 96, 0, 0, -96, 0, 0, 0, -416, 1864, 0, -504, 0, 0, -360, 440, 216, 0, -80, 0, 0, -740, 0, -944, 0, 192, 0, 0, -24, -404, -32, 0, 0, 0, 0, -1580, 256, 0, 0, 112, 0, 0, 0, 36, 192, 0, -624, 0, 0, -540, -1824, -1304, 0, 816, 0, 0, -316, 0, -1248, 0, 0, 0, 0, 928, -504, 460, 0, 0, 0, 0, 72, -1292, 0, 0, 1264, 0, 0, 0, -1440, -324, 0, 2216, 0, 0, 480, 768, 560, 0, 96, 0, 0, 786, 0, -328, 0, 1588, 0, 0, 792, -1992, 0, 0, 0, 0, 0, 1236, -240, 0, 0, -48, 0, 0, 0, 1888, -240, 0, -608, 0, 0, -1586, -1152, 696, 0, -4664, 0, 0, -1216, 0, -424, 0, 1488, 0, 0, -354, -1360, 2912, 0, 0, 0, 0, 80, -1160, 0, 0, -112, 0, 0, 0, 192, 1088, 0, -216, 0, 0, -792, 1160, 192, 0, 1408, 0, 0, 1414, 0, -612, 0, -5408, 0, 0, 648, 528, -976, 0, 0, 0, 0, -1572, 1048, 0, 0, 1420, 0, 0, 0, 312, 96, 0, -592, 0, 0, 136, -576, 364, 0, 1776, 0, 0, -48, 0, 2528, 0, 1536, 0, 0, -104, 0, -396, 0, 0, 0, 0, 2544, -264, 0, 0, 384, 0, 0, 0, -1264, 2600, 0, -1172, 0, 0, -476, -272, 1488, 0, 960, 0, 0, -2604, 0, -2156, 0, 3420, 0, 0, 120, 2784, -464, 0, 0, 0, 0, -1556, 3264, 0, 0, -3632, 0, 0, 0, 1392, 448, 0, -432, 0, 0, 90, -224, -464, 0, -404, 0, 0, -1192, 0, -288, 0, -2400, 0, 0, 356, -864, -2000, 0, 0, 0, 0, -492, -2284, 0, 0, -256, 0, 0, 0, -960, -2220, 0, 4808, 0, 0, 2512, -12, 872, 0, 576, 0, 0, 2364, 0, 3144, 0, 256, 0, 0, -560, -504, -624, 0, 0, 0, 0, 1096, -48, 0, 0, 2568, 0, 0, 0, 1772, 224, 0, -1040, 0, 0, 2338, -848, -744, 0, -1704, 0, 0, -88, 0, -1808, 0, 0, 0, 0, -1086, -712, 4888, 0, 0, 0, 0, -416, -160, 0, 0, -1040, 0, 0, 0, 192, -5464, 0, -1644, 0, 0, -96, 1304, -2880, 0, -288, 0, 0, 3310, 0, -624, 0, -7032, 0, 0, 496, 996, 432, 0, 0, 0, 0, -1188, -896, 0, 0, 800, 0, 0, 0, -2488, 144, 0, -128, 0, 0, -1120, -144, 612, 0, 624, 0, 0, 312, 0, 2608, 0, 2224, 0, 0, -2624, 3136, -4092, 0, 0, 0, 0, 1424, -324, 0, 0, 888, 0, 0, 0, 320, 6144, 0, 1184, 0, 0, -824, 640, 480, 0, 832, 0, 0, -2704, 0, 4968, 0, 3648, 0, 0, 36, 2532, 32, 0, 0, 0, 0, -3174, 560, 0, 0, -1832, 0, 0, 0, 1056, -632, 0, -384, 0, 0, 1260, -1792, -1456, 0, 5336, 0, 0, 472, 0, -2208, 0, -1088, 0, 0, 3504, -288, -5364, 0, 0, 0, 0, -1392, 5056, 0, 0, 320, 0, 0, 0, -2640, -4008, 0, 1144, 0, 0, 328, 2352, 1376, 0, 288, 0, 0, 474, 0, 2376, 0, 3764, 0, 0, 784, 2232, 0, 0, 0, 0, 0, 4900, -2064, 0, 0, 756, 0, 0, 0, 1372, -4160, 0, 120, 0, 0, 326, -704, 1164, 0, -4904, 0, 0, 616, 0, -1312, 0, 3168, 0, 0, -3048, -1392, 5464, 0, 0, 0, 0, -508, 1368, 0, 0, -2944, 0, 0, 0, 960, -3660, 0, -3960, 0, 0, -720, 2796, -3664, 0, 256, 0, 0, 3364, 0, -144, 0, -7320, 0, 0, 64, 1416, -624, 0, 0, 0, 0, -1134, -1056, 0, 0, 3448, 0, 0, 0, -3440, 528, 0, 2368, 0, 0, 776, 0, -2444, 0, 3804, 0, 0, -792, 0, 4960, 0, -512, 0, 0, -3742, 3376, -3624, 0, 0, 0, 0, 2496, 228, 0, 0, 1920, 0, 0, 0, 3296, 1160, 0, -6208, 0, 0, 1040, -3480, 912, 0, -2432, 0, 0, -4148, 0, -3072, 0, 1728, 0, 0, 24, -3176, 576, 0, 0, 0, 0, 1352, 4160, 0, 0, -7008, 0, 0, 0, 636, 960, 0, -480, 0, 0, 1452, 456, -1232, 0, -1260, 0, 0, 2216, 0, -1392, 0, -6032, 0, 0, 5524, -2688, -4160, 0, 0, 0, 0, -120, -2156, 0, 0, 3888, 0, 0, 0, -672, 168, 0, 7456, 0, 0, 3888, 360, 384, 0, -288, 0, 0, 3888, 0, 2000, 0, 5492, 0, 0, 264, -3080, 960, 0, 0, 0, 0, 4756, -288, 0, 0, 2496, 0, 0, 0, -6500, -3280, 0, -688, 0, 0, 2630, 3360, 120, 0, 728, 0, 0, 1024, 0, -2064, 0, 1440, 0, 0, -972, 16, 8072, 0, 0, 0, 0, -2664, 5096, 0, 0, -3520, 0, 0, 0, 2448, -2604, 0, -1572, 0, 0, -1692, -4196, -5520, 0, 832, 0, 0, -4130, 0, 876, 0, -3872, 0, 0, -2208, -144, -1912, 0, 0, 0, 0, -1584, -3600, 0, 0, -5212, 0, 0, 0, -520, 5040, 0, 2304, 0, 0, -5460, 672, 2980, 0, 3000, 0, 0, 72, 0, 992, 0, -32, 0, 0, -2634, 5088, -2304, 0, 0, 0, 0, -1168, -672, 0, 0, 0, 0, 0, 0, 1688, 10272, 0, -1908, 0, 0, -3248, -680, 1272, 0, -4384, 0, 0, -4624, 0, -3420, 0, 4560, 0, 0, -288, 2208, 2016, 0, 0, 0, 0, -2124, -256, 0, 0, 3328, 0, 0, 0, -2340, 3616, 0, 144, 0, 0, 714, 5376, -1296, 0, 3248, 0, 0, -1692, 0, -1440, 0, -1280, 0, 0, 8380, -2112, -3520, 0, 0, 0, 0, -2808, -1040, 0, 0, -2240, 0, 0, 0, -1184, -5676, 0, -624, 0, 0, 1584, 696, 5056, 0, 192, 0, 0, 1668, 0, -6960, 0, 4216, 0, 0, -3008, -4912, -192, 0, 0, 0, 0, 4092, -2976, 0, 0, -1440, 0, 0, 0, -1396, -8320, 0, -832, 0, 0, -4778, 3728, 648, 0, -12816, 0, 0, 1568, 0, -1008, 0, 336, 0, 0, -4914, -4144, 9336, 0, 0, 0, 0, -720, -4872, 0, 0, 880, 0, 0, 0, 432, 316, 0, -3348, 0, 0, -4608, -5428, -160, 0, -1920, 0, 0, 8136, 0, -168, 0, -2832, 0, 0, -1480, 2172, 3984, 0, 0, 0, 0, 738, -1888, 0, 0, 13612, 0, 0, 0, 9352, 384, 0, 2928, 0, 0, 2108, 288, -1968, 0, 1440, 0, 0, -48, 0, 6592, 0, -808, 0, 0, 3518, -64, -3360, 0, 0, 0, 0, 1320, -1308, 0, 0, 2496, 0, 0, 0, 3840, 4488, 0, -3028, 0, 0, -3160, -12736, 5088, 0, 512, 0, 0, -10580, 0, 1052, 0, 5712, 0, 0, 840, 2272, 224, 0, 0, 0, 0, -1622, 800, 0, 0, -3688, 0, 0, 0, -2952, 9360, 0, 72, 0, 0, -186, 384, 5968, 0, 5776, 0, 0, -40, 0, -1248, 0, -6752, 0, 0, 6156, -336, -5376, 0, 0, 0, 0, -1080, 6804, 0, 0, -3648, 0, 0, 0, -2608, -3144, 0, 11456, 0, 0, 4528, 1704, 1632, 0, 240, 0, 0, 132, 0, -8400, 0, 4356, 0, 0, -632, -16232, 0, 0, 0, 0, 0, -2140, -2496, 0, 0, 1068, 0, 0, 0, -4532, 0, 0, 4704, 0, 0, 3550, 9200, -1440, 0, -1440, 0, 0, 1856, 0, -5376, 0, -1008, 0, 0, -432, 920, 6312, 0, 0, 0, 0, -6024, -128, 0, 0, -6048, 0, 0, 0, 4176, -10384, 0, -3840, 0, 0, 144, 6640, -7840, 0, -2584, 0, 0, -5854, 0, 432, 0, -2512, 0, 0, -3960, 3768, 2528, 0, 0, 0, 0, -504, -7264, 0, 0, -9520, 0, 0, 0, 3696, 7104, 0, -2880, 0, 0, -4460, -648, 8556, 0, 4704, 0, 0, -1488, 0, 4432, 0, -144, 0, 0, -2646, 11840, -6312, 0, 0, 0, 0, 960, 2916, 0, 0, 1536, 0, 0, 0, 1120, 15592, 0, -2524, 0, 0, -7184, -10504, 192, 0, -416, 0, 0, -1872, 0, 6512, 0, 216, 0, 0, 1572, -7144, -2080, 0, 0, 0, 0, 7186, -656, 0, 0, 9072, 0, 0, 0, -3912, 3176, 0, 1968, 0, 0, 1572, 2656, 5216, 0, 4180, 0, 0, 1584, 0, -3600, 0, -3984, 0, 0, 4496, 0, 6424, 0, 0, 0, 0, -2136, 1656, 0, 0, 3328, 0, 0, 0, -1472, -1332, 0, -9288, 0, 0, 2472, 2952, 3696, 0, -480, 0, 0, -396, 0, -7152, 0, 8524, 0, 0, 1752, -9616, -96, 0, 0, 0, 0, 3328, -720, 0, 0, -2796, 0, 0, 0, -660, -12672, 0, 3776, 0, 0, 1754, -480, -2808, 0, -3936, 0, 0, 8328, 0, -1216, 0, 624, 0, 0, -54, -864, 3328, 0, 0, 0, 0, -3172, -3184, 0, 0, -2304, 0, 0, 0, 1392, 1520, 0, -840, 0, 0, -5448, -8080, -9328, 0, 512, 0, 0, -3350, 0, 2628, 0, -704, 0, 0, -2432, 948, 208, 0, 0, 0, 0, 228, -848, 0, 0, 5800, 0, 0, 0, 3088, 2976, 0, 1504, 0, 0, 5432, -1104, -9500, 0, 2832, 0, 0, -708, 0, 8896, 0, -2720, 0, 0, 4144, 5824, 1632, 0, 0, 0, 0, 2672, 8160, 0, 0, 432, 0, 0, 0, 9344, 8544, 0, -3356, 0, 0, 160, -18552, 7104, 0, -2320, 0, 0, 0, 0, -4420, 0, 900, 0, 0, 2880, 11648, -224, 0, 0, 0, 0, 4172, 1280, 0, 0, 4856, 0, 0, 0, -2064, 6208, 0, 384, 0, 0, -492, 2176, 5960, 0, -5144, 0, 0, -2904, 0, -432, 0, -928, 0, 0, -824, -5664, -14708, 0, 0, 0, 0, -1584, 4528, 0, 0, 2320, 0, 0, 0, 384, -6900, 0, 13352, 0, 0, 9016, 0, 2816, 0, -1680, 0, 0, 3144, 0, 9264, 0, -7436, 0, 0, 2828, -8296, 4752, 0, 0, 0, 0, 876, -1224, 0, 0, -1200, 0, 0, 0, -4244, -10816, 0, -304, 0, 0, 1224, 9152, -180, 0, 11360, 0, 0, 1296, 0, 1104, 0, 1056, 0, 0, -114, -1952, 1224, 0, 0, 0, 0, -3808, -7536, 0, 0, -3808, 0, 0, 0, 1968, -9152, 0, -1584, 0, 0, -3144, 12716, -15040, 0, 2096, 0, 0, 8962, 0, 4128, 0, 8016, 0, 0, -9104, 8160, 2840, 0, 0, 0, 0, 762, -1488, 0, 0, -3312, 0, 0, 0, -4016, 4416, 0, 624, 0, 0, -9604, 192, -6064, 0, -1440, 0, 0, -5520, 0, -1184, 0, -7232, 0, 0, -5098, 8960, -2592, 0, 0, 0, 0, 272, 5496, 0, 0, -1152, 0, 0, 0, 728, 11472, 0, -5012, 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, 7, 2, -1, 2, 0]], "char_orbit_index": 6, "prim_orbit_index": 2, "minimal_twist": "1050.3.f.c", "char_is_minimal": true, "conrey_index": 601, "id": null, "nf_label": 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, 0, 0, 0, 0, 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, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 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], [1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0], [-3, 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, -2, 1, 0, 1, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 1, 0, 0, -1, -1], [1, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -2, 1, -1, 0, 0, 1, 1, 0, -1, -1], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, -4, 0, 1, 0, 0, -1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 1, 0, 0, 1, 0, 1, -1, 0, 0, 0], [5, -1, 0, 1, 0, 0, 1, 0, 0, 0, -1, 1], [1, -2, 0, 0, 0, -4, 1, 0, 1, 0, 0, 0], [0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, -2, 0, 0, 0, 2, -1, 0, 0], [0, 0, -3, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0], [3, 4, 0, 2, 0, 5, 1, 0, -1, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, -1, 4, 0, 0, 0, -1, -2, 2, 2], [0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0], [0, 0, -1, -2, 0, 0, 0, 1, -2, 1, 1, 1], [0, 0, 0, 2, 0, 0, 0, 0, 2, -1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, 2, 0, 1, 0, 2, 0, 0, -1, 0, -2, 2], [0, 0, -2, 0, 4, 0, 0, 2, 0, 1, 0, 0], [-1, 1, 0, 3, 0, 0, 2, 0, -1, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, -2, -2, 0, 0, 2, -2, -2, 2, 2], [-2, -1, 1, -1, -1, 1, -1, 0, 0, -1, 1, 0], [10, -3, 0, -1, 0, -6, -3, 0, -2, 0, -1, 1], [-2, 0, 0, 0, 0, -4, 2, 0, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 1, 0, 3, 0, -2, 3, 0, 0, 0, -1, 1], [0, 0, 6, -1, 5, 0, 0, -3, -1, -3, 2, 2], [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 3, 6, 0, -1, -10, -1, -3, -4, -1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, -1, 0, 2, 0, -2, 2, 0, 0, 0, -1, 1], [0, 0, 0, 0, -2, 0, 0, 2, 0, 0, -2, -2], [-14, -4, 0, -6, 0, 16, -4, 0, 2, 0, 2, -2], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 0, -2, 0, 0, 0, 0, 0, 2], [10, 2, 0, 0, 0, -3, 1, 0, 1, 0, 1, -1], [-9, -5, 0, -5, 0, -2, -3, 0, 2, 0, 1, -1], [0, 0, 2, 5, -13, 0, 0, -1, 5, -1, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -12, -3, -16, 0, 0, 4, -3, -2, 0, 0], [0, 0, -6, -4, -4, 0, 0, 4, -4, 0, 1, 1], [-3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0], [8, 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, -2, 3, 0, 0, -2, -2, -1, 2, 2], [2, 3, 0, 3, 0, -22, 5, 0, 2, 0, -3, 3], [0, 0, -4, 2, -2, 0, 0, 2, 2, 0, -2, -2], [0, 0, -1, -4, 0, 0, 0, -1, -4, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [23, 2, 0, 6, 0, 0, 7, 0, 1, 0, -4, 4], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0], [0, 0, -16, -1, 21, 0, 0, 3, -1, 4, -5, -5], [-4, -2, 0, -6, 0, 9, -2, 0, 4, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -8, 0, 2, 0, 0, -2, 0, -2, 0, 0], [33, 2, 12, 5, -9, 7, 5, -3, -4, -2, 2, 6], [-3, -3, 0, -1, 0, 1, 1, 0, 2, 0, 1, -1], [-18, -1, 0, 2, 0, -6, 1, 0, -1, 0, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, -4, 4, 0, 0, 4, -4, -2, 2, 2], [0, 0, 20, -2, -4, 0, 0, 0, -2, 6, 2, 2], [-2, 2, 2, 0, 0, 2, 0, 2, -2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 6, 0, -2, 0, -5, 0, 0, 2, 0, 2, -2], [0, 0, 7, 4, 3, 0, 0, 1, 4, -1, 2, 2], [10, -2, 0, 2, 0, 0, 2, 0, 0, 0, -2, 2], [0, 0, -18, -1, 23, 0, 0, -3, -1, 0, 5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-13, 3, 24, 7, -4, -30, 3, 0, 7, -4, -3, -1], [2, -4, 0, 0, 0, -8, 2, 0, 2, 0, 0, 0], [-24, 0, 0, -1, 0, -8, -2, 0, -1, 0, 4, -4], [0, 0, -8, -4, -2, 0, 0, 6, -4, 3, 1, 1], [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, -16, 13, -24, 0, 0, -4, 13, -8, -2, -2], [19, -2, 5, -6, -4, -7, -4, 2, -2, 3, 4, -1], [3, 0, 0, 0, 0, 6, -3, 0, -3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}