# Stored data for newform 1008.4.bt.a, downloaded from the LMFDB on 25 April 2024.
{"label": "1008.4.bt.a", "space_label": "1008.4.bt", "level": 1008, "weight": 4, "hecke_orbit": 1, "hecke_orbit_code": 3092443562992, "dim": 16, "is_polredabs": true, "trace_hash": 909946058063034204, "analytic_rank": 0, "is_twist_minimal": false, "hecke_cutters": [[5, [49018425731856, 0, 31530370595472, 0, 19693854748764, 0, 370814223780, 0, 4739623389, 0, 33794766, 0, 176175, 0, 510, 0, 1]]], "qexp_display": "q-\\beta _{13}q^{5}+(-3+\\beta _{4})q^{7}+(-\\beta _{1}-3\\beta _{6}+\\cdots)q^{11}+\\cdots", "char_order": 6, "char_parity": 1, "char_degree": 2, "char_conductor": 21, "char_orbit_label": "bt", "char_is_real": false, "Nk2": 16128, "analytic_conductor": 59.47392528578654, "hecke_ring_index": 6718464, "level_radical": 42, "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": "0.591", "prec": 17}, "analytic_rank_proved": true, "char_values": [1008, 6, [127, 757, 785, 577], [6, 6, 3, 1]], "hecke_ring_generator_nbound": 13, "inner_twist_count": 4, "level_primes": [2, 3, 7], "conrey_indexes": [17, 593], "field_disc": 5902671416546676360246666962587877376, "field_disc_factorization": [[2, 28], [3, 8], [7, 8], [53, 4], [521, 4]], "field_poly": [810000, 0, -1762200, 0, 3242464, 0, -1200006, 0, 336765, 0, -27620, 0, 1647, 0, -48, 0, 1], "hecke_ring_index_factorization": [[2, 10], [3, 8]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.099", "prec": 17}, {"__RealLiteral__": 0, "data": "15.175", "prec": 20}, {"__RealLiteral__": 0, "data": "3.959", "prec": 17}, {"__RealLiteral__": 0, "data": "1953.171", "prec": 27}, {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "391319.564", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 8, "sato_tate_group": "3.2.3.c6", "trace_display": [0, 0, 0, -56], "traces": [0, 16, 0, 0, 0, 0, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 612, 0, 0, 0, 0, 0, -20, 0, 0, 0, 0, 0, -1128, 0, 0, 0, 0, 0, -1196, 0, 0, 0, 0, 0, -328, 0, 0, 0, 0, 0, 784, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1632, 0, 0, 0, 0, 0, -308, 0, 0, 0, 0, 0, 4068, 0, 0, 0, 0, 0, 2176, 0, 0, 0, 0, 0, -4608, 0, 0, 0, 0, 0, -924, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1380, 0, 0, 0, 0, 0, -1076, 0, 0, 0, 0, 0, -7272, 0, 0, 0, 0, 0, 4244, 0, 0, 0, 0, 0, 1216, 0, 0, 0, 0, 0, -8820, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10260, 0, 0, 0, 0, 0, 3260, 0, 0, 0, 0, 0, -10728, 0, 0, 0, 0, 0, -2048, 0, 0, 0, 0, 0, -17144, 0, 0, 0, 0, 0, 5152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36360, 0, 0, 0, 0, 0, 17632, 0, 0, 0, 0, 0, -1896, 0, 0, 0, 0, 0, 10392, 0, 0, 0, 0, 0, 32432, 0, 0, 0, 0, 0, -17052, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5820, 0, 0, 0, 0, 0, 8088, 0, 0, 0, 0, 0, -6252, 0, 0, 0, 0, 0, -13788, 0, 0, 0, 0, 0, -18528, 0, 0, 0, 0, 0, 19852, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42276, 0, 0, 0, 0, 0, -124, 0, 0, 0, 0, 0, -3732, 0, 0, 0, 0, 0, -5408, 0, 0, 0, 0, 0, 24600, 0, 0, 0, 0, 0, 40124, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29232, 0, 0, 0, 0, 0, -21684, 0, 0, 0, 0, 0, 60420, 0, 0, 0, 0, 0, 27164, 0, 0, 0, 0, 0, -28880, 0, 0, 0, 0, 0, 46648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32184, 0, 0, 0, 0, 0, 11116, 0, 0, 0, 0, 0, -83952, 0, 0, 0, 0, 0, -2884, 0, 0, 0, 0, 0, 9128, 0, 0, 0, 0, 0, 45948, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 33996, 0, 0, 0, 0, 0, 41100, 0, 0, 0, 0, 0, -125400, 0, 0, 0, 0, 0, 18204, 0, 0, 0, 0, 0, 25064, 0, 0, 0, 0, 0, -58632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44316, 0, 0, 0, 0, 0, 62856, 0, 0, 0, 0, 0, -75816, 0, 0, 0, 0, 0, 16648, 0, 0, 0, 0, 0, -8648, 0, 0, 0, 0, 0, -24584, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -45012, 0, 0, 0, 0, 0, 62264, 0, 0, 0, 0, 0, 1296, 0, 0, 0, 0, 0, -14788, 0, 0, 0, 0, 0, -3696, 0, 0, 0, 0, 0, 101808, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -60540, 0, 0, 0, 0, 0, -12592, 0, 0, 0, 0, 0, 116532, 0, 0, 0, 0, 0, 8900, 0, 0, 0, 0, 0, -42944, 0, 0, 0, 0, 0, 142492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28008, 0, 0, 0, 0, 0, -30716, 0, 0, 0, 0, 0, -20712, 0, 0, 0, 0, 0, 40668, 0, 0, 0, 0, 0, -28872, 0, 0, 0, 0, 0, 147672, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -77832, 0, 0, 0, 0, 0, 15728, 0, 0, 0, 0, 0, -75324, 0, 0, 0, 0, 0, 73000, 0, 0, 0, 0, 0, -121304, 0, 0, 0, 0, 0, 51492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -39996, 0, 0, 0, 0, 0, 37812, 0, 0, 0, 0, 0, -314100, 0, 0, 0, 0, 0, -39528, 0, 0, 0, 0, 0, 9856, 0, 0, 0, 0, 0, 5460, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96108, 0, 0, 0, 0, 0, 110448, 0, 0, 0, 0, 0, -112428, 0, 0, 0, 0, 0, -58088, 0, 0, 0, 0, 0, -10560, 0, 0, 0, 0, 0, 49476, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64716, 0, 0, 0, 0, 0, 183532, 0, 0, 0, 0, 0, 44064, 0, 0, 0, 0, 0, -91048, 0, 0, 0, 0, 0, 48736, 0, 0, 0, 0, 0, 81256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -57228, 0, 0, 0, 0, 0, 14016, 0, 0, 0, 0, 0, -120696, 0, 0, 0, 0, 0, -22032, 0, 0, 0, 0, 0, -296208, 0, 0, 0, 0, 0, 172704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156132, 0, 0, 0, 0, 0, 44824, 0, 0, 0, 0, 0, -160740, 0, 0, 0, 0, 0, 144336, 0, 0, 0, 0, 0, 17912, 0, 0, 0, 0, 0, 207620, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 136104, 0, 0, 0, 0, 0, -4416, 0, 0, 0, 0, 0, -223620, 0, 0, 0, 0, 0, -23632, 0, 0, 0, 0, 0, -150952, 0, 0, 0, 0, 0, 230440, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256176, 0, 0, 0, 0, 0, 45524, 0, 0, 0, 0, 0, -292284, 0, 0, 0, 0, 0, 145484, 0, 0, 0, 0, 0, 110872, 0, 0, 0, 0, 0, -121464, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14688, 0, 0, 0, 0, 0, 168228, 0, 0, 0, 0, 0, -214632, 0, 0, 0, 0, 0, -99032, 0, 0, 0, 0, 0, 41248, 0, 0, 0, 0, 0, 243348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -149688, 0, 0, 0, 0, 0, 106064, 0, 0, 0, 0, 0, -5988, 0, 0, 0, 0, 0, 27576, 0, 0, 0, 0, 0, 143216, 0, 0, 0, 0, 0, 80304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -113340, 0, 0, 0, 0, 0, -30928, 0, 0, 0, 0, 0, -11712, 0, 0, 0, 0, 0, 202824, 0, 0, 0, 0, 0, -76760, 0, 0, 0, 0, 0, -166852, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -375132, 0, 0, 0, 0, 0, 170756, 0, 0, 0, 0, 0, -234936, 0, 0, 0, 0, 0, 78736, 0, 0, 0, 0, 0, 82616, 0, 0, 0, 0, 0, 128352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -428904, 0, 0, 0, 0, 0, 148456, 0, 0, 0, 0, 0, -374868, 0, 0, 0, 0, 0, 138584, 0, 0, 0, 0, 0, 341016, 0, 0, 0, 0, 0, 361816, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114120, 0, 0, 0, 0, 0, 122400, 0, 0, 0, 0, 0, -218232, 0, 0, 0, 0, 0, -35608, 0, 0, 0, 0, 0, -417912, 0, 0, 0, 0, 0, 496636, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 107424, 0, 0, 0, 0, 0, 230548, 0, 0, 0, 0, 0, 172152, 0, 0, 0, 0, 0, 48584, 0, 0, 0, 0, 0, -238896, 0, 0, 0, 0, 0, -64484, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 464496, 0, 0, 0, 0, 0, -47400, 0, 0, 0, 0, 0, -139872, 0, 0, 0, 0, 0, -215460, 0, 0, 0, 0, 0, -175152, 0, 0, 0, 0, 0, -93492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -420864, 0, 0, 0, 0, 0, 237120, 0, 0, 0, 0, 0, -138936, 0, 0, 0, 0, 0, 84596, 0, 0, 0, 0, 0, -170296, 0, 0, 0, 0, 0, -29232, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -67884, 0, 0, 0, 0, 0, 166100, 0, 0, 0, 0, 0, -385764, 0, 0, 0, 0, 0, 194436, 0, 0, 0, 0, 0, -268632, 0, 0, 0, 0, 0, 118636, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -164160, 0, 0, 0, 0, 0, 119580, 0, 0, 0, 0, 0, -15660, 0, 0, 0, 0, 0, 84724, 0, 0, 0, 0, 0, 818136, 0, 0, 0, 0, 0, 292152, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 68616, 0, 0, 0, 0, 0, 123048, 0, 0, 0, 0, 0, 275916, 0, 0, 0, 0, 0, -154060, 0, 0, 0, 0, 0, -121952, 0, 0, 0, 0, 0, 573384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100872, 0, 0, 0, 0, 0, -52436, 0, 0, 0, 0, 0, -264816, 0, 0, 0, 0, 0, -73452, 0, 0, 0, 0, 0, 274304, 0, 0, 0, 0, 0, 98336, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 389808, 0, 0, 0, 0, 0, -330312, 0, 0, 0, 0, 0, 304740, 0, 0, 0, 0, 0, 156936, 0, 0, 0, 0, 0, 220896, 0, 0, 0, 0, 0, -130956, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140292, 0, 0, 0, 0, 0, 250092, 0, 0, 0, 0, 0, -421776, 0, 0, 0, 0, 0, 277552, 0, 0, 0, 0, 0, -348432, 0, 0, 0, 0, 0, -218148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -609108, 0, 0, 0, 0, 0, 456304, 0, 0, 0, 0, 0, -274140, 0, 0, 0, 0, 0, 305684, 0, 0, 0, 0, 0, -1171976, 0, 0, 0, 0, 0, -138852, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -707832, 0, 0, 0, 0, 0, 25196, 0, 0, 0, 0, 0, -329628, 0, 0, 0, 0, 0, 37080, 0, 0, 0, 0, 0, -17952, 0, 0, 0, 0, 0, 126840, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 266292, 0, 0, 0, 0, 0, 242356, 0, 0, 0, 0, 0, -108492, 0, 0, 0, 0, 0, 190228, 0, 0, 0, 0, 0, 509152, 0, 0, 0, 0, 0, 730044, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 738516, 0, 0, 0, 0, 0, -73428, 0, 0, 0, 0, 0, 469188, 0, 0, 0, 0, 0, -423360, 0, 0, 0, 0, 0, -280208, 0, 0, 0, 0, 0, 644868, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 447516, 0, 0, 0, 0, 0, -435520, 0, 0, 0, 0, 0, 543624, 0, 0, 0, 0, 0, -491704, 0, 0, 0, 0, 0, -225456, 0, 0, 0, 0, 0, -573720, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -307392, 0, 0, 0, 0, 0, 238948, 0, 0, 0, 0, 0, -773064, 0, 0, 0, 0, 0, -29708, 0, 0, 0, 0, 0, 654408, 0, 0, 0, 0, 0, -563528, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -669708, 0, 0, 0, 0, 0, 144880, 0, 0, 0, 0, 0, -162576, 0, 0, 0, 0, 0, 426528, 0, 0, 0, 0, 0, 321096, 0, 0, 0, 0, 0, 174300, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -630888, 0, 0, 0, 0, 0, -50576, 0, 0, 0, 0, 0, -105288, 0, 0, 0, 0, 0, -196944, 0, 0, 0, 0, 0, 454320, 0, 0, 0, 0, 0, 404880, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -488448, 0, 0, 0, 0, 0, 225192, 0, 0, 0, 0, 0, 38160, 0, 0, 0, 0, 0, -718824, 0, 0, 0, 0, 0, 369032, 0, 0, 0, 0, 0, 122864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 348708, 0, 0, 0, 0, 0, -714492, 0, 0, 0, 0, 0, 133584, 0, 0, 0, 0, 0, -149904, 0, 0, 0, 0, 0, -115640, 0, 0, 0, 0, 0, -37296, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 302736, 0, 0, 0, 0, 0, -357452, 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, 21, 7, 1, 6, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 4, -1, 6, 0]], "char_orbit_index": 46, "prim_orbit_index": 7, "minimal_twist": "63.4.p.a", "char_is_minimal": false, "conrey_index": 17, "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, 0, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 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, -1, 0, 0, 0, 0, -3, 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], [9, 0, -18, 2, 0, 4, 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, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 3, -3, 1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [28, 0, 26, 2, 2, 1, 0, 2, 0, 4, 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, 0, 0, 0], [0, 4, 0, 0, 0, 0, -11, 0, 4, 0, 0, -17, 6, -3, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, -5, 0, -5, 0, -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, 0, 0], [0, 0, 0, 0, 0, 0, -4, 0, 10, 0, 0, -2, -4, 8, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-96, 0, 46, 2, -4, -2, 0, 3, 0, -3, 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, 0, 0, 0], [0, -7, 0, 0, 0, 0, -36, 0, -7, 0, 0, -5, 0, 7, -3, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-148, 0, 149, 0, 1, 6, 0, -3, 0, 4, -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, 0, 0, 0], [0, -14, 0, 0, 0, 0, -25, 0, -7, 0, 0, -10, -5, 0, -3, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-10, 0, 0, -17, 10, 0, 0, -10, 0, 4, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 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, -25, 0, 2, 8, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-63, 0, 189, 7, -7, 0, 0, -7, 0, -14, -21, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 5, 0, 0, 0, 0, -34, 0, 0, 0, 0, 0, -20, -20, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-14, 0, -32, 6, -30, 12, 0, -30, 0, -17, -13, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 46, 0, -28, 0, 0, 126, -17, 17, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-48, 0, -56, -10, 8, -5, 0, 19, 0, 27, 27, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 73, 0, 7, 0, 0, 109, -36, 18, 0, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 0, -40, 16, 3, 16, 0, 8, 0, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, -12, 0, 12, 0, 0, -1, -12, 24, -2, -2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [320, 0, -157, 19, 6, -19, 0, -9, 0, 9, -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, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 99, 0, -43, 0, 0, 12, -11, 26, 3, -4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [267, 0, -248, 0, 19, -4, 0, -6, 0, 25, -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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 132, 0, 0, 0, 0, 79, -26, 0, -5, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-289, 0, 0, -15, 23, 0, 0, -23, 0, -17, -40, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, -54, 0, 14, 0, 0, 54, 0, 72, 4, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3, 0, -114, 7, 15, -63, 0, 21, 0, 3, 14, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -42, 0, 0, 0, 0, -53, 0, 0, 0, 0, 0, -44, -44, 12, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [365, 0, -816, 11, -43, 22, 0, -43, 0, -36, -7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}