# Stored data for newform 384.3.i.c, downloaded from the LMFDB on 19 April 2024.
{"label": "384.3.i.c", "space_label": "384.3.i", "level": 384, "weight": 3, "hecke_orbit": 3, "hecke_orbit_code": 9007749060886912, "dim": 20, "is_polredabs": true, "trace_hash": 127334607426519297, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [4096, 0, 0, 0, 108375444480, 0, 0, 0, 1068787520, 0, 0, 0, 3190384, 0, 0, 0, 3404, 0, 0, 0, 1]], [19, [23975244288, 21827527680, 9936102400, 2439206208, 353223624, 25536424, 942404, 3952, 338, 26, 1]]], "qexp_display": "q-\\beta _{5}q^{3}+(\\beta _{8}-\\beta _{9}-\\beta _{10})q^{5}-\\beta _{6}q^{7}+\\cdots", "char_order": 4, "char_parity": -1, "char_degree": 2, "char_conductor": 48, "char_orbit_label": "i", "char_is_real": false, "Nk2": 3456, "analytic_conductor": 10.4632421514354, "hecke_ring_index": 8388608, "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": "0.630", "prec": 17}, "analytic_rank_proved": true, "char_values": [384, 4, [127, 133, 257], [4, 3, 2]], "hecke_ring_generator_nbound": 11, "inner_twist_count": 4, "level_primes": [2, 3], "conrey_indexes": [161, 353], "field_disc": 342407310868083341483348306852099129344, "field_disc_factorization": [[2, 30], [587, 4], [40483, 4]], "field_poly": [1048576, 0, -131072, 0, 24576, 0, -6144, 0, -384, 0, 1216, 0, -24, 0, -24, 0, 6, 0, -2, 0, 1], "hecke_ring_index_factorization": [[2, 23]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "17.679", "prec": 20}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "2497.710", "prec": 27}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "606880.065", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "2.2.3.c4", "trace_display": [0, -6, 0, 0], "traces": [0, 20, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, 116, 0, 0, 0, -52, 0, -48, 0, 0, 0, 0, 0, 18, 0, 0, 0, 80, 0, 60, 0, 0, 0, 116, 0, 0, 0, 0, 0, 172, 0, -60, 0, 0, 0, -364, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 244, 0, -296, 0, 0, 0, 356, 0, 20, 0, 0, 0, 0, 0, -146, 0, 0, 0, -384, 0, -188, 0, 0, 0, -48, 0, 0, 0, 0, 0, 136, 0, 132, 0, 0, 0, 472, 0, -452, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156, 0, 476, 0, 0, 0, -616, 0, 96, 0, 0, 0, 0, 0, -324, 0, 0, 0, 544, 0, 492, 0, 0, 0, -432, 0, 0, 0, 0, 0, -1308, 0, 16, 0, 0, 0, 776, 0, 530, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, -556, 0, 0, 0, -212, 0, -532, 0, 0, 0, 0, 0, 1328, 0, 0, 0, -760, 0, 12, 0, 0, 0, 628, 0, 0, 0, 0, 0, 736, 0, -48, 0, 0, 0, -968, 0, -100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 440, 0, 264, 0, 0, 0, 436, 0, 996, 0, 0, 0, 0, 0, -1040, 0, 0, 0, 720, 0, -1384, 0, 0, 0, -748, 0, 0, 0, 0, 0, -96, 0, 148, 0, 0, 0, -1160, 0, 354, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, -1440, 0, 0, 0, 2248, 0, 452, 0, 0, 0, 0, 0, 1212, 0, 0, 0, -576, 0, -688, 0, 0, 0, 532, 0, 0, 0, 0, 0, 2372, 0, -76, 0, 0, 0, 1972, 0, -1716, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1552, 0, 2836, 0, 0, 0, -2796, 0, -384, 0, 0, 0, 0, 0, -2112, 0, 0, 0, 3816, 0, 2220, 0, 0, 0, -756, 0, 0, 0, 0, 0, -2156, 0, -1616, 0, 0, 0, -856, 0, 2240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 148, 0, -2596, 0, 0, 0, 632, 0, -1104, 0, 0, 0, 0, 0, 2222, 0, 0, 0, -2944, 0, 984, 0, 0, 0, 484, 0, 0, 0, 0, 0, 780, 0, 260, 0, 0, 0, 768, 0, -2480, 0, 0, 0, 0, 0, 0, 0, 0, 0, -540, 0, 4096, 0, 0, 0, -2832, 0, -1920, 0, 0, 0, 0, 0, -2532, 0, 0, 0, 1896, 0, 316, 0, 0, 0, 2580, 0, 0, 0, 0, 0, -2664, 0, 2004, 0, 0, 0, -1736, 0, 3836, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3336, 0, -3788, 0, 0, 0, 3480, 0, 2048, 0, 0, 0, 0, 0, 1408, 0, 0, 0, -10832, 0, -1688, 0, 0, 0, -1216, 0, 0, 0, 0, 0, 2580, 0, 3044, 0, 0, 0, 1032, 0, -3424, 0, 0, 0, 0, 0, 0, 0, 0, 0, -368, 0, 4640, 0, 0, 0, -1564, 0, 1012, 0, 0, 0, 0, 0, -2042, 0, 0, 0, 3872, 0, -1140, 0, 0, 0, -1280, 0, 0, 0, 0, 0, -1460, 0, -2240, 0, 0, 0, -1636, 0, 3260, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1900, 0, -8148, 0, 0, 0, 6348, 0, -2576, 0, 0, 0, 0, 0, 2268, 0, 0, 0, -440, 0, -96, 0, 0, 0, -480, 0, 0, 0, 0, 0, 4660, 0, -3024, 0, 0, 0, 424, 0, -5340, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4120, 0, 4212, 0, 0, 0, -5984, 0, 2272, 0, 0, 0, 0, 0, -3560, 0, 0, 0, 11040, 0, 1616, 0, 0, 0, 356, 0, 0, 0, 0, 0, -6316, 0, 596, 0, 0, 0, 5684, 0, 4188, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1548, 0, -3896, 0, 0, 0, -724, 0, 2164, 0, 0, 0, 0, 0, 6200, 0, 0, 0, -1752, 0, 2800, 0, 0, 0, 1188, 0, 0, 0, 0, 0, 2328, 0, -1132, 0, 0, 0, -5320, 0, -2150, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5192, 0, 6860, 0, 0, 0, -4084, 0, -992, 0, 0, 0, 0, 0, -3268, 0, 0, 0, 7176, 0, -3552, 0, 0, 0, -5580, 0, 0, 0, 0, 0, -2264, 0, -976, 0, 0, 0, 1952, 0, 1748, 0, 0, 0, 0, 0, 0, 0, 0, 0, -5260, 0, -4492, 0, 0, 0, 6948, 0, -2372, 0, 0, 0, 0, 0, 5020, 0, 0, 0, -6608, 0, -2244, 0, 0, 0, 1364, 0, 0, 0, 0, 0, 7192, 0, -1040, 0, 0, 0, -200, 0, -3232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5736, 0, 6228, 0, 0, 0, -2196, 0, 196, 0, 0, 0, 0, 0, -5084, 0, 0, 0, -6016, 0, -1192, 0, 0, 0, 7680, 0, 0, 0, 0, 0, -7188, 0, 7700, 0, 0, 0, 2488, 0, 5128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3236, 0, -3844, 0, 0, 0, 4632, 0, 6372, 0, 0, 0, 0, 0, 7292, 0, 0, 0, -10168, 0, 1500, 0, 0, 0, -3004, 0, 0, 0, 0, 0, 4140, 0, 3280, 0, 0, 0, -5656, 0, -1030, 0, 0, 0, 0, 0, 0, 0, 0, 0, -524, 0, 4148, 0, 0, 0, -1940, 0, -3364, 0, 0, 0, 0, 0, -6592, 0, 0, 0, 6952, 0, -3336, 0, 0, 0, -2992, 0, 0, 0, 0, 0, -3764, 0, -5052, 0, 0, 0, -3976, 0, 2428, 0, 0, 0, 0, 0, 0, 0, 0, 0, 516, 0, -9080, 0, 0, 0, 3404, 0, -8220, 0, 0, 0, 0, 0, 1768, 0, 0, 0, 1488, 0, 2352, 0, 0, 0, 208, 0, 0, 0, 0, 0, 3296, 0, -5324, 0, 0, 0, 4380, 0, -6212, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5632, 0, 900, 0, 0, 0, -9352, 0, 3744, 0, 0, 0, 0, 0, -6880, 0, 0, 0, 9440, 0, 8028, 0, 0, 0, 7156, 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, 3, 2, -1, 2, 0], [1, 1, 16, 5, 1, 4, 0], [1, 1, 48, 9, -1, 4, 0]], "char_orbit_index": 9, "prim_orbit_index": 9, "minimal_twist": "48.3.i.b", "char_is_minimal": false, "conrey_index": 161, "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, 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, -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, 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, -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, 0, 0], [0, 0, 0, 0, 0, 0, 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, -1, 0, 1, 0, 1, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, 5, 0, -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], [6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 1, 0, -1, 1, 0, 0, 1, -1, 0, 0, 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], [-4, 4, 0, 0, 3, 3, -1, -1, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -4, 0, 0, 0, 0, 1, -1, -2, -2, -1, -3, 0, 4, -1, 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, 0, 3, 0, -1, 1, 0, 0, -1, 1, 3, 0, 0, -3, 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, 3, 0, -1, -1, -1, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, -1, 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, -1, -3, -3, 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, 0, 0, 0], [0, 0, 2, -2, 1, -1, 0, 0, 0, 0, 0, 0, -1, 0, 1, -2, -1, 1, -2, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 0, 0, 3, 0, 0, 0, -1, 0, 0, 0, -3, -2, 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], [1, 0, 1, -3, 2, 2, 0, -2, -2, -2, -4, 3, -1, 1, 0, -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, 7, 1, -3, 3, 0, 0, 0, 0, 0, 0, 2, 0, -2, 1, 2, -5, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 2, -2, 1, 1, 0, 3, -1, 0, -1, 0, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 10, -1, 0, 1, 5, -1, 0, 1, 5, -1, 0, 0, 1, 0, 0, 1, 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, 1, -2, -1, 1, 0, 0, -1, 1, -2, -2, 0, -1, 0, 0, -2, 2, -4, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [12, 12, 0, 0, 0, 0, -1, 1, 3, 3, 0, 2, -1, 0, -1, 0, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -2, 0, -7, -3, -1, -1, 0, 0, 0, 0, 1, 0, 0, -1, 0, -7, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 5, 1, -1, 1, 0, 0, 1, -1, -1, -1, 2, 5, -2, 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], [-19, 0, 0, 3, -1, -1, 0, -4, 1, 1, 0, -3, -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], [8, -8, -5, 3, -7, 1, -1, -1, 0, 0, 0, 0, -1, 0, -1, 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, 0, 0, 0, 0, 0, 0, -3, 3, 1, 0, 2, -6, -2, 0, -2, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -4, 0, -3, -2, -2, 0, 0, -2, -2, 0, -3, 0, 0, 0, 0, 2, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 19, -7, 0, 7, 3, 2, 0, 7, 3, 2, 0, 0, 7, 0, 0, 1, -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, -3, 3, 12, 0, 2, 0, -2, 0, -2, 0, 0, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, -7, 0, -3, 7, 7, -2, -2, 0, 0, 0, 0, 1, 0, 1, 0, -1, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-16, 0, -7, -3, 1, 5, 0, -1, -1, -5, -5, 3, -4, -7, 0, 0, 0, -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, -1, 0, 3, -3, 0, 0, -3, 3, 6, 0, -2, -1, 2, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [16, -16, 0, -2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, -2, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 0, 0, 0, 0, -3, 3, 6, 0, -6, 0, 0, 6, 1, -3, 1, 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, 0, -1, 4, -4, 0, 0, 4, -4, 4, -1, 0, 0, 0, 0, 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, -20, 0, -3, -7, -7, 4, 0, -7, -7, 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, 0, 0, 0, 0, 0], [-8, -8, 0, 0, 0, 0, -1, 1, -7, 2, -5, -3, -1, -1, -1, 1, -1, 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, 6, 4, -8, 8, 0, 0, 0, 0, 0, 0, 2, 0, -2, 4, 2, 14, 4, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-20, 0, 0, 1, -2, -2, 0, 1, 2, 2, 0, -1, 4, 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], [-3, 0, 6, 0, -6, 0, 0, 6, 6, 0, -6, 0, 3, 6, -1, 6, 0, -6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 9, -1, 8, -8, 0, 0, 0, 0, 0, 0, -4, 0, 4, -1, -4, 1, -1, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, -4, 0, 0, 0, 0, -4, 4, -6, -6, 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, 6, -3, 3, 9, -5, 0, 0, 9, -5, -15, 3, 0, 3, 0, 0, -1, 15, 1, -5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 14, 4, 8, -8, 0, 0, 8, -8, -6, 4, 0, -14, 0, 0, 3, 6, 8, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 0, 0, 0, 0, 1, -1, -2, -2, 0, 6, 3, 0, 3, 0, 3, 0, 0, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, -7, -4, 3, 10, -4, 4, 4, 0, 0, 0, 0, -3, 0, 1, 2, -1, -11, 2, -3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 11, 0, 5, -5, 0, 0, -5, 5, 13, 0, -4, 11, 4, 0, 0, 13, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [18, 0, 0, 2, 6, 6, 0, 8, -6, -6, 0, -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], [-24, 24, -18, 0, 9, -9, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 0, 18, 1, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}