# Stored data for newform 1152.3.m.c, downloaded from the LMFDB on 18 April 2024.
{"label": "1152.3.m.c", "space_label": "1152.3.m", "level": 1152, "weight": 3, "hecke_orbit": 3, "hecke_orbit_code": 9008023938794624, "dim": 16, "is_polredabs": true, "trace_hash": 1184387526998689692, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [2117472256, -5171462144, 6315081728, -4258177024, 1663893504, -283883520, 12517376, -4026368, 6221952, -518400, 512, 8064, 6656, 32, 0, 0, 1]], [7, [-400880, 720640, -136576, -53248, 13704, 448, -224, 0, 1]]], "qexp_display": "q+\\beta _{11}q^{5}-\\beta _{3}q^{7}+(-2-2\\beta _{2}+\\beta _{5}+\\cdots)q^{11}+\\cdots", "char_order": 4, "char_parity": -1, "char_degree": 2, "char_conductor": 16, "char_orbit_label": "m", "char_is_real": false, "Nk2": 10368, "analytic_conductor": 31.389726454306203, "hecke_ring_index": 268435456, "level_radical": 6, "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": "0.259", "prec": 17}, "analytic_rank_proved": true, "char_values": [1152, 4, [127, 901, 641], [2, 1, 4]], "hecke_ring_generator_nbound": 25, "inner_twist_count": 2, "level_primes": [2, 3], "conrey_indexes": [415, 991], "field_disc": 4207873885417965748853145600, "field_disc_factorization": [[2, 32], [3, 8], [5, 2], [7, 4], [49877, 2]], "field_poly": [65536, 0, -24576, -4096, 2560, 3584, 1408, -512, -496, -128, 88, 56, 10, -4, -6, 0, 1], "hecke_ring_index_factorization": [[2, 28]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.152", "prec": 17}, {"__RealLiteral__": 0, "data": "13.763", "prec": 20}, {"__RealLiteral__": 0, "data": "8.332", "prec": 17}, {"__RealLiteral__": 0, "data": "796.781", "prec": 24}, {"__RealLiteral__": 0, "data": "1802.578", "prec": 27}, {"__RealLiteral__": 0, "data": "86437.180", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "2.2.3.c4", "trace_display": [0, 0, 0, 0], "traces": [0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -96, 0, 96, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 112, 0, 0, 0, -160, 0, 256, 0, 0, 0, 128, 0, 32, 0, 0, 0, 32, 0, 320, 0, 0, 0, 512, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 160, 0, -160, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 512, 0, 0, 0, 224, 0, -448, 0, 0, 0, -640, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 320, 0, -288, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 288, 0, 0, 0, 832, 0, -256, 0, 0, 0, -416, 0, -64, 0, 0, 0, 0, 0, 480, 0, 0, 0, 896, 0, 0, 0, 0, 0, -672, 0, 0, 0, 0, 0, -576, 0, 672, 0, 0, 0, 0, 0, -320, 0, 0, 0, 0, 0, -64, 0, 0, 0, 416, 0, 1024, 0, 0, 0, 736, 0, -1312, 0, 0, 0, 0, 0, 192, 0, 0, 0, -1152, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 1248, 0, 800, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, -448, 0, 0, 0, -1696, 0, -1152, 0, 0, 0, -1824, 0, 512, 0, 0, 0, -160, 0, -160, 0, 0, 0, 768, 0, 0, 0, 0, 0, 896, 0, 0, 0, 0, 0, -1888, 0, -864, 0, 0, 0, 0, 0, 640, 0, 0, 0, 0, 0, 752, 0, 0, 0, -1248, 0, 2304, 0, 0, 0, 2304, 0, 1376, 0, 0, 0, -1120, 0, -320, 0, 0, 0, -1024, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 1920, 0, -1312, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, -1440, 0, 0, 0, 2208, 0, -2688, 0, 0, 0, -2272, 0, -992, 0, 0, 0, 544, 0, -192, 0, 0, 0, 1024, 0, 0, 0, 0, 0, -1120, 0, 0, 0, 0, 0, -3040, 0, 832, 0, 0, 0, 0, 0, -736, 0, 0, 0, 0, 0, 64, 0, 0, 0, 1056, 0, 1536, 0, 0, 0, 2848, 0, -2112, 0, 0, 0, 0, 0, -1760, 0, 0, 0, -2432, 0, 0, 0, 0, 0, -1472, 0, 0, 0, 0, 0, 2848, 0, 288, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 448, 0, 0, 0, -2560, 0, -1792, 0, 0, 0, -2144, 0, 960, 0, 0, 0, 256, 0, 960, 0, 0, 0, 4480, 0, 0, 0, 0, 0, 1120, 0, 0, 0, 0, 0, -3680, 0, -1024, 0, 0, 0, 0, 0, -2080, 0, 0, 0, 0, 0, -3488, 0, 0, 0, -256, 0, 128, 0, 0, 0, 3456, 0, 2336, 0, 0, 0, 1792, 0, -768, 0, 0, 0, -4096, 0, 0, 0, 0, 0, 2016, 0, 0, 0, 0, 0, 2336, 0, -512, 0, 0, 0, 0, 0, 2912, 0, 0, 0, 0, 0, 2672, 0, 0, 0, 2560, 0, -3584, 0, 0, 0, -2336, 0, -1888, 0, 0, 0, -2720, 0, 2336, 0, 0, 0, 6272, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, -864, 0, -448, 0, 0, 0, 0, 0, -1536, 0, 0, 0, 0, 0, -32, 0, 0, 0, -352, 0, 3072, 0, 0, 0, 2240, 0, -928, 0, 0, 0, 736, 0, -4032, 0, 0, 0, -6784, 0, 0, 0, 0, 0, -2496, 0, 0, 0, 0, 0, 2304, 0, 1728, 0, 0, 0, 0, 0, 2304, 0, 0, 0, 0, 0, -624, 0, 0, 0, -2880, 0, 2432, 0, 0, 0, -2720, 0, 928, 0, 0, 0, -128, 0, 3360, 0, 0, 0, 5504, 0, 0, 0, 0, 0, -1440, 0, 0, 0, 0, 0, -1280, 0, 1536, 0, 0, 0, 0, 0, -3264, 0, 0, 0, 0, 0, 4928, 0, 0, 0, 960, 0, 2432, 0, 0, 0, -480, 0, 864, 0, 0, 0, -1696, 0, -864, 0, 0, 0, -7424, 0, 0, 0, 0, 0, 2496, 0, 0, 0, 0, 0, 3552, 0, 736, 0, 0, 0, 0, 0, 3584, 0, 0, 0, 0, 0, -2624, 0, 0, 0, 3584, 0, 1408, 0, 0, 0, -4352, 0, -352, 0, 0, 0, 4352, 0, 4864, 0, 0, 0, 6784, 0, 0, 0, 0, 0, 3776, 0, 0, 0, 0, 0, -3232, 0, -1824, 0, 0, 0, 0, 0, -4256, 0, 0, 0, 0, 0, 192, 0, 0, 0, -128, 0, -384, 0, 0, 0, 3456, 0, -576, 0, 0, 0, -3680, 0, -224, 0, 0, 0, -9984, 0, 0, 0, 0, 0, -2432, 0, 0, 0, 0, 0, 3200, 0, 512, 0, 0, 0, 0, 0, 2336, 0, 0, 0, 0, 0, 2944, 0, 0, 0, -3904, 0, -7808, 0, 0, 0, -4800, 0, 2816, 0, 0, 0, 128, 0, 3200, 0, 0, 0, 7168, 0, 0, 0, 0, 0, -4864, 0, 0, 0, 0, 0, -4480, 0, 4544, 0, 0, 0, 0, 0, -1632, 0, 0, 0, 0, 0, -2464, 0, 0, 0, 1056, 0, 2560, 0, 0, 0, 4544, 0, -416, 0, 0, 0, 4896, 0, -7008, 0, 0, 0, -2816, 0, 0, 0, 0, 0, 3584, 0, 0, 0, 0, 0, 4576, 0, -800, 0, 0, 0, 0, 0, -544, 0, 0, 0, 0, 0, 2624, 0, 0, 0, 4288, 0, 128, 0, 0, 0, -960, 0, -832, 0, 0, 0, -2176, 0, -288, 0, 0, 0, 5120, 0, 0, 0, 0, 0, 6112, 0, 0, 0, 0, 0, -6720, 0, -5856, 0, 0, 0, 0, 0, -2944, 0, 0, 0, 0, 0, -752, 0, 0, 0, -3296, 0, 4736, 0, 0, 0, 7392, 0, 1984, 0, 0, 0, 5888, 0, 192, 0, 0, 0, 1536, 0, 0, 0, 0, 0, -4608, 0, 0, 0, 0, 0, 4832, 0, -4320, 0, 0, 0, 0, 0, 1792, 0, 0, 0, 0, 0, -3392, 0, 0, 0, -3424, 0, -6912, 0, 0, 0, -2944, 0, 1344, 0, 0, 0, -1408, 0, 864, 0, 0, 0, 4992, 0, 0, 0, 0, 0, -6336, 0, 0, 0, 0, 0, -2400, 0, 5952, 0, 0, 0, 0, 0, 2048, 0, 0, 0, 0, 0, 5184, 0, 0, 0, 5056, 0, 3840, 0, 0, 0, 9088, 0, -864, 0, 0, 0, -9312, 0, 352, 0, 0, 0, -6784, 0, 0, 0, 0, 0, 7520, 0, 0, 0, 0, 0, 5600, 0, -192, 0, 0, 0, 0, 0, 3360, 0, 0, 0, 0, 0, -4480, 0, 0, 0, 3872, 0, -4608, 0, 0, 0, -7776, 0, -2528, 0, 0, 0, 2176, 0, -2688, 0, 0, 0, 3968, 0, 0, 0, 0, 0, 6688, 0, 0, 0, 0, 0, -5376, 0, -6432, 0, 0, 0, 0, 0, 2720, 0, 0, 0, 0, 0, 928, 0, 0, 0, -7616, 0, 3200, 0, 0, 0, 1024, 0, 640, 0, 0, 0, -2944, 0, 1280, 0, 0, 0, 896, 0, 0, 0, 0, 0, -7520, 0, 0, 0, 0, 0, 4032, 0, 480, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 800, 0, 0, 0, -5152, 0, -1280, 0, 0, 0, -5600, 0, 1952, 0, 0, 0, 5344, 0, -1856, 0, 0, 0, -5376, 0, 0, 0, 0, 0, -8960, 0, 0, 0, 0, 0, -5824, 0, 8512, 0, 0, 0, 0, 0, -6720, 0, 0, 0, 0, 0, -10592, 0, 0, 0, 3200, 0, 13568, 0, 0, 0, 1760, 0, -3520, 0, 0, 0, 5888, 0, -96, 0, 0, 0, -9344, 0, 0, 0, 0, 0, 7904, 0, 0, 0, 0, 0, 736, 0, 4032, 0, 0, 0, 0, 0, -8608, 0, 0, 0, 0, 0, 7872, 0, 0, 0, 4416, 0, -7936, 0, 0, 0, -5888, 0, -3456, 0, 0, 0, -7072, 0, 6656, 0, 0, 0, 1024, 0, 0, 0, 0, 0, 9984, 0, 0, 0, 0, 0, -5184, 0, -8032, 0, 0, 0, 0, 0, 5920, 0, 0, 0, 0, 0, 3168, 0, 0, 0, -1600, 0, -6912, 0, 0, 0, -416, 0, -1024, 0, 0, 0, 2944, 0, -2240, 0, 0, 0, -2944, 0, 0, 0, 0, 0, -10688, 0, 0, 0, 0, 0, 2656, 0, 512, 0, 0, 0, 0, 0, 6016, 0, 0, 0, 0, 0, -5696, 0, 0, 0, -5984, 0, -4096, 0, 0, 0, -384, 0, 3584, 0, 0, 0, -8064, 0, -2624, 0, 0, 0, 2048, 0, 0, 0, 0, 0, -10560, 0, 0, 0, 0, 0, -2784, 0, 6464, 0, 0, 0, 0, 0, 2240, 0, 0, 0, 0, 0, 5760, 0, 0, 0, 4544, 0, -2432, 0, 0, 0, 3200, 0, -1664, 0, 0, 0, -4096, 0, -1056, 0, 0, 0, 1024, 0, 0, 0, 0, 0, 9024, 0, 0, 0, 0, 0, 1664, 0, 1984, 0, 0, 0, 0, 0, 4960, 0, 0, 0, 0, 0, -7040, 0, 0, 0, 7808, 0, 7424, 0, 0, 0, 2528, 0, -6560, 0, 0, 0, 6528, 0, -6080, 0, 0, 0, 4992, 0, 0, 0, 0, 0, 8000, 0, 0, 0, 0, 0, 7328, 0, -11136, 0, 0, 0, 0, 0, -5056, 0, 0, 0, 0, 0, -7136, 0, 0, 0, -2432, 0, 10112, 0, 0, 0, 256, 0, 4032, 0, 0, 0, -9568, 0, -2944, 0, 0, 0, 768, 0, 0, 0, 0, 0, -11936, 0, 0, 0, 0, 0, 3584, 0, -1216, 0, 0, 0, 0, 0, -5184, 0, 0, 0, 0, 0, 7392, 0, 0, 0, -10144, 0, 2688, 0, 0, 0, 3712, 0, 1152, 0, 0, 0, 4128, 0, 9632, 0, 0, 0, 6272, 0, 0, 0, 0, 0, -9760, 0, 0, 0, 0, 0, 3136, 0, 6848, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, -4096, 0, 0, 0, 5088, 0, -13568, 0, 0, 0, -2848, 0, 2560, 0, 0, 0, 11520, 0, 4256, 0, 0, 0, 9216, 0, 0, 0, 0, 0, 10976, 0, 0, 0, 0, 0, -3072, 0, -4288, 0, 0, 0, 0, 0, 9280, 0, 0, 0, 0, 0, 784, 0, 0, 0, 12448, 0, 4096, 0, 0, 0, 3520, 0, -6656, 0, 0, 0, -2176, 0, 2240, 0, 0, 0, -7680, 0, 0, 0, 0, 0, 11136, 0, 0, 0, 0, 0, 7680, 0, -5536, 0, 0, 0, 0, 0, -6048, 0, 0, 0, 0, 0, -1792, 0, 0, 0, 64, 0, -6144, 0, 0, 0, 1408, 0, -3104, 0, 0, 0, 7520, 0, -8704, 0, 0, 0, -8832, 0, 0, 0, 0, 0, -13344, 0, 0, 0, 0, 0, -12288, 0, -896, 0, 0, 0, 0, 0, -2944, 0, 0, 0, 0, 0, 5792, 0, 0, 0, -11840, 0, 3840, 0, 0, 0, -608, 0, 11072, 0, 0, 0, -4480, 0, -6336, 0, 0, 0, 5120, 0, 0, 0, 0, 0, -6464, 0, 0, 0, 0, 0, 320, 0, 9024, 0, 0, 0, 0, 0, -3712, 0, 0, 0, 0, 0, 7840, 0, 0, 0, -960, 0, -6912, 0, 0, 0, -11616, 0, 6336, 0, 0, 0, -13184, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 14336, 0, 0, 0, 0, 0, -8672, 0, 2944, 0, 0, 0, 0, 0, -7264, 0, 0, 0, 0, 0, -4928, 0, 0, 0, 13696, 0, -4352, 0, 0, 0, 12320, 0, -4256, 0, 0, 0, 2720, 0, 5088, 0, 0, 0, -3456, 0, 0, 0, 0, 0, 7072, 0, 0, 0, 0, 0, -3136, 0, -6656, 0, 0, 0, 0, 0, -1536, 0, 0, 0, 0, 0, 3840, 0, 0, 0, -4640, 0, -10752, 0, 0, 0, -7232, 0, -5088, 0, 0, 0, 3616, 0, 7776, 0, 0, 0, 1280, 0, 0, 0, 0, 0, -11168, 0, 0, 0, 0, 0, -6272, 0, 416, 0, 0, 0, 0, 0, 4192, 0, 0, 0, 0, 0, -5888, 0, 0, 0, -16000, 0, 7040, 0, 0, 0, 8544, 0, 8768, 0, 0, 0, 13664, 0, 1120, 0, 0, 0, -4480, 0, 0, 0, 0, 0, -4896, 0, 0, 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, 16, 6, -1, 4, 0]], "char_orbit_index": 13, "prim_orbit_index": 6, "minimal_twist": "48.3.l.a", "char_is_minimal": false, "conrey_index": 415, "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, 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], [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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -2, 0, 0, 1, 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, 1, 0, -1, 1, 0, -1, 0, 1, 0, 0, 0, -1, -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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, 2, 0, 0, 0, 1, 0, 0, -1, 0, 0, 1, -2, 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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-8, 1, 0, 2, 0, -2, 0, 0, 0, 0, 2, -2, 0, 2, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -5, 0, -2, -1, 1, 1, -2, -1, 2, 1, -1, -1, -1, -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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, -1, 0, 3, -1, -2, 1, 0, 0, 0, 0, 0, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -8, 0, 0, -2, 0, 1, 1, -1, -1, 2, 1, 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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-6, 0, 6, 2, 0, 0, 2, 0, 2, 2, 0, -1, 1, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 0, -6, -1, 0, 0, 0, 0, -1, 2, 0, -1, -2, -1, 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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -3, -2, -2, 1, 3, -1, -2, 2, 0, 2, 2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 0, 10, -2, 0, -2, 1, 1, 2, 0, -1, 0, 0, 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, 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, -24, 0, -3, 2, -2, 0, 2, 0, -2, -2, 0, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, -4, 0, 4, 0, -5, -1, 1, 0, 1, 0, -5, -1, 1, -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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-10, 2, 10, 3, 2, 0, 1, 0, 3, 2, 0, 1, 2, -2, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [16, 2, 0, 2, 0, -6, 2, -1, 0, -1, 1, -6, 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, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [8, 0, 8, 2, 0, 4, 2, -2, -2, 0, 2, 0, 0, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -4, 2, 1, 4, -1, 1, 2, -1, 0, 5, 0, 0, 0, 1, -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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -5, 0, -3, 0, -2, -3, 1, 0, 1, 2, -2, 0, 2, -2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [20, -1, -20, 2, -1, 0, 2, 0, 2, 2, 0, 2, 4, 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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [32, 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, 0], [0, 0, 6, 0, 4, -3, -1, -1, 0, 1, 0, 3, -1, 1, 1, -4], [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, 0, 0, 0, 0, 0, 0, 0], [14, -6, 14, 5, 6, -2, 1, 2, -5, 0, 2, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, -6, 6, 0, 0, 5, 0, -2, -6, 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, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [10, 0, -10, 0, 0, 0, 2, 0, 0, 2, 0, -3, 3, -4, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-10, -8, 10, 4, -8, 0, -2, 0, 4, -2, 0, 8, 2, -2, 0, -4], [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, 0, 0, 0, 0, 0, 0, 0], [0, 0, -10, 0, 6, 0, 0, 0, -8, 0, 2, 0, -2, 0, 0, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-30, 3, -30, 0, -3, 8, 5, -3, 0, 0, 5, 0, 0, 0, -2, -5], [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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 40, 0, -5, -6, 2, 2, 0, -2, 0, 6, 2, -2, -2, -6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 2, 0, 2, -4, -2, 0, -2, 6, 2, 4, 2, -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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}