# Stored data for newform 252.9.z.e, downloaded from the LMFDB on 19 April 2024.
{"label": "252.9.z.e", "space_label": "252.9.z", "level": 252, "weight": 9, "hecke_orbit": 5, "hecke_orbit_code": 18016116647395580, "dim": 20, "is_polredabs": false, "trace_hash": 890484639785689239, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[5, [28861413610719458500984036450381058703360000000000, 0, -501848519769172278429263529656928264000000000000, 0, 8721883458910661684763105180014643563049000000, 0, -75916984440581368487966110339271974725000, 0, 441725133559193953524918428962257225, 0, -1416438872419971140599166614845, 0, 3274961154579295926394734, 0, -4538708430919915833, 0, 4557812756238, 0, -2627541, 0, 1]]], "qexp_display": "q+(-\\beta _{1}-\\beta _{4})q^{5}+(-577-430\\beta _{3}+\\cdots)q^{7}+\\cdots", "char_order": 6, "char_parity": -1, "char_degree": 2, "char_conductor": 7, "char_orbit_label": "z", "char_is_real": false, "Nk2": 20412, "analytic_conductor": 102.65940973540405, "hecke_ring_index": 5804985066531300328768509010765676544, "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": [252, 6, [127, 29, 73], [6, 6, 1]], "hecke_ring_generator_nbound": 31, "inner_twist_count": 4, "level_primes": [2, 3, 7], "conrey_indexes": [73, 145], "field_disc": 66576260145882590825376623434338805516612729991420777357706252791116216693783995215000626803067217510400, "field_disc_factorization": [[2, 24], [3, 10], [5, 2], [7, 6], [13, 2], [349, 4], [3673, 2], [28668641154566549, 4]], "field_poly": [515596507492955532983572496163412311048918663, 48338381018096768126520835100261119832719644, -47007135303470257351659397734299414285784783, -2662421971413455508046552715438433455340210, 1331037342615679684155036722672299751825731, 208367487247705803791441930629487279968, -69448792452425943361067315312590506770, -6031290957377412523625955897396396, 1507689855516745584812805692686751, 88587865373982244785457265884, -17716220051138913180459215577, -738003497470953185965030, 122992744079100130844521, 3617886719518590784, -516815190850700874, -10307560742020, 1288400424989, 15765036, -1751639, -10, 1], "hecke_ring_index_factorization": [[2, 36], [3, 26], [7, 16]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.047", "prec": 17}, {"__RealLiteral__": 0, "data": "17.426", "prec": 20}, {"__RealLiteral__": 0, "data": "44.412", "prec": 20}, {"__RealLiteral__": 0, "data": "2500.596", "prec": 27}, {"__RealLiteral__": 0, "data": "14907.330", "prec": 30}, {"__RealLiteral__": 0, "data": "544766.564", "prec": 34}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 10, "sato_tate_group": "8.2.3.c6", "trace_display": [0, 0, 0, -7238], "traces": [0, 20, 0, 0, 0, 0, 0, -7238, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -107256, 0, 0, 0, 0, 0, 1348832, 0, 0, 0, 0, 0, -4734426, 0, 0, 0, 0, 0, 6802748, 0, 0, 0, 0, 0, -596128, 0, 0, 0, 0, 0, -19249258, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32573772, 0, 0, 0, 0, 0, -25999304, 0, 0, 0, 0, 0, -52899612, 0, 0, 0, 0, 0, -129945530, 0, 0, 0, 0, 0, -83755728, 0, 0, 0, 0, 0, 42306852, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -746299104, 0, 0, 0, 0, 0, 133027820, 0, 0, 0, 0, 0, -648062100, 0, 0, 0, 0, 0, -275788724, 0, 0, 0, 0, 0, -1397418644, 0, 0, 0, 0, 0, -2057026188, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 426571866, 0, 0, 0, 0, 0, -774706342, 0, 0, 0, 0, 0, -4451271048, 0, 0, 0, 0, 0, -1606151972, 0, 0, 0, 0, 0, -6649292116, 0, 0, 0, 0, 0, 1076327812, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6690217464, 0, 0, 0, 0, 0, -234668614, 0, 0, 0, 0, 0, -4610066328, 0, 0, 0, 0, 0, -3720349836, 0, 0, 0, 0, 0, 1372264616, 0, 0, 0, 0, 0, -4374828486, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9177858744, 0, 0, 0, 0, 0, -44802324, 0, 0, 0, 0, 0, 7294325850, 0, 0, 0, 0, 0, 1719705432, 0, 0, 0, 0, 0, 3611520360, 0, 0, 0, 0, 0, -3843230888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32924171574, 0, 0, 0, 0, 0, -2789684228, 0, 0, 0, 0, 0, -5459420256, 0, 0, 0, 0, 0, 16393513382, 0, 0, 0, 0, 0, 34091378244, 0, 0, 0, 0, 0, 40168627996, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3038124066, 0, 0, 0, 0, 0, 20731322430, 0, 0, 0, 0, 0, 30851299812, 0, 0, 0, 0, 0, -280422736, 0, 0, 0, 0, 0, 102993729740, 0, 0, 0, 0, 0, 23870183596, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28059661980, 0, 0, 0, 0, 0, -44619191278, 0, 0, 0, 0, 0, 152841136794, 0, 0, 0, 0, 0, 29795209744, 0, 0, 0, 0, 0, 130337052824, 0, 0, 0, 0, 0, 5677703010, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -76121343804, 0, 0, 0, 0, 0, 11572686348, 0, 0, 0, 0, 0, -199703268174, 0, 0, 0, 0, 0, -601483554, 0, 0, 0, 0, 0, 13400842288, 0, 0, 0, 0, 0, 168842974608, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 82497111606, 0, 0, 0, 0, 0, -30518585748, 0, 0, 0, 0, 0, -217168879788, 0, 0, 0, 0, 0, -87318003562, 0, 0, 0, 0, 0, 60156920440, 0, 0, 0, 0, 0, -146212941112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -466037967180, 0, 0, 0, 0, 0, -13658866534, 0, 0, 0, 0, 0, -185078934936, 0, 0, 0, 0, 0, -79624966252, 0, 0, 0, 0, 0, 263393060112, 0, 0, 0, 0, 0, -81709273800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -679127624436, 0, 0, 0, 0, 0, -297229962206, 0, 0, 0, 0, 0, -286559668458, 0, 0, 0, 0, 0, -309034895660, 0, 0, 0, 0, 0, 938225470096, 0, 0, 0, 0, 0, 134594070800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -950961345012, 0, 0, 0, 0, 0, 78898122868, 0, 0, 0, 0, 0, -704777785086, 0, 0, 0, 0, 0, -321511445262, 0, 0, 0, 0, 0, 184146054936, 0, 0, 0, 0, 0, 711691871688, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -207408869106, 0, 0, 0, 0, 0, -324399466100, 0, 0, 0, 0, 0, -1260673075644, 0, 0, 0, 0, 0, 209112700910, 0, 0, 0, 0, 0, 2542715467276, 0, 0, 0, 0, 0, 439697492976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1311761039022, 0, 0, 0, 0, 0, -316453101930, 0, 0, 0, 0, 0, 1164832476, 0, 0, 0, 0, 0, 48351944340, 0, 0, 0, 0, 0, 2262458353028, 0, 0, 0, 0, 0, 600891811506, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1231469419476, 0, 0, 0, 0, 0, -963362269296, 0, 0, 0, 0, 0, 693437765304, 0, 0, 0, 0, 0, 149427093380, 0, 0, 0, 0, 0, 5703118430184, 0, 0, 0, 0, 0, 1120965196764, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4044073315620, 0, 0, 0, 0, 0, 517802621572, 0, 0, 0, 0, 0, -2132395568604, 0, 0, 0, 0, 0, -555943367146, 0, 0, 0, 0, 0, 5303569739288, 0, 0, 0, 0, 0, 4182626347312, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2876774908740, 0, 0, 0, 0, 0, -885381597828, 0, 0, 0, 0, 0, -647726001300, 0, 0, 0, 0, 0, -682482764376, 0, 0, 0, 0, 0, 7379593312896, 0, 0, 0, 0, 0, 2106065433780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4661957445420, 0, 0, 0, 0, 0, -2591753191100, 0, 0, 0, 0, 0, -3593268946740, 0, 0, 0, 0, 0, -885622542840, 0, 0, 0, 0, 0, 10679525919784, 0, 0, 0, 0, 0, 1544326964936, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4607456147280, 0, 0, 0, 0, 0, -1950983757072, 0, 0, 0, 0, 0, -5708377261416, 0, 0, 0, 0, 0, -519764312240, 0, 0, 0, 0, 0, 8032928856392, 0, 0, 0, 0, 0, 1324601112422, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9617917538376, 0, 0, 0, 0, 0, 413289974036, 0, 0, 0, 0, 0, -4779979590834, 0, 0, 0, 0, 0, -811016479468, 0, 0, 0, 0, 0, 13844255820296, 0, 0, 0, 0, 0, 2214308903184, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12511921527000, 0, 0, 0, 0, 0, -3866797671540, 0, 0, 0, 0, 0, -10561873977144, 0, 0, 0, 0, 0, -5277804981052, 0, 0, 0, 0, 0, 15776371968148, 0, 0, 0, 0, 0, 6260261761824, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18022592890260, 0, 0, 0, 0, 0, -3552829444918, 0, 0, 0, 0, 0, -9101029418988, 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, 21, 7, 1, 6, 0], [1, 1, 3, 2, -1, 2, 0], [1, 1, 7, 4, -1, 6, 0]], "char_orbit_index": 26, "prim_orbit_index": 4, "minimal_twist": "252.9.z.e", "char_is_minimal": true, "conrey_index": 73, "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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -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], [-577, 0, 0, -430, 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, -2, 0, 0, -1, 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], [-875, 0, 0, -1750, 0, -4, -3, 1, 4, 4, 0, 0, -4, 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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 2, 1, 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], [-3565, 0, 0, 3577, 0, 15, 19, -19, 0, 2, 0, 0, 4, 0, -10, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -41, 0, 0, 41, 0, 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], [23, 0, 0, -134842, 0, -37, -37, 6, -1, -2, 0, 0, -6, 0, -48, -24, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -29, 1, 0, -58, 0, 0, 0, 0, 0, -9, -9, 0, 0, 0, 0, 0, 2, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-315576, 0, 0, -157781, 0, 1, -1, -138, -9, 0, 0, 0, -138, 0, 0, -23, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 154, 1, 0, 356, 0, 0, 0, 0, 0, 9, 20, 0, -1, 0, 0, 3, -8, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [680173, 0, 0, 680168, 0, 126, 189, 189, 110, 55, 0, 0, 315, 0, 60, 120, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -733, 10, 0, 0, 0, 0, 0, 0, 0, 30, -30, 0, -8, 0, 0, -4, 0, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-29966, 0, 0, 0, 0, -226, -354, 580, -97, 97, 0, 0, 226, 0, 95, -95, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -47, 0, 14, 0, 0, 0, 0, 0, -11, -22, 0, -3, 0, 0, -6, -48, -1, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-727895, 0, 0, 469448, 0, -91, 98, -392, 0, -343, 0, 0, -392, 0, 686, 343, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 312, 69, 0, 156, 0, 0, 0, 0, 0, 0, -144, 0, 20, 0, 0, 20, 34, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-403043, 0, 0, -806086, 0, 1421, 648, -773, -920, -920, 0, 0, 1421, 0, -156, -156, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, -3137, 0, 0, 0, 0, 0, 368, 184, 0, 17, 0, 0, -17, 44, -2, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1085615, 0, 0, -1085135, 0, -2327, -1389, 1389, 0, 187, 0, 0, 938, 0, -293, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1630, -126, 0, -1630, 0, 0, 0, 0, 0, -1209, 0, 0, 8, 0, 0, 0, 125, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1548, 0, 0, 2601397, 0, 2490, 2490, -3025, 864, 1728, 0, 0, 3025, 0, -1368, -684, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1826, 76, 0, 3652, 0, 0, 0, 0, 0, 343, 343, 0, 0, 0, 0, -13, 152, -15, 15], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-3526803, 0, 0, -1763581, 0, -1413, 1413, 585, 1088, 0, 0, 0, 585, 0, 0, 1447, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 9976, 42, 0, 4797, 0, 0, 0, 0, 0, 807, 1896, 0, 12, 0, 0, 0, -215, -16, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-12993035, 0, 0, -12988829, 0, 898, -2141, -2141, 4810, 2405, 0, 0, -1243, 0, -1801, -3602, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -598, 56, 0, 0, 0, 0, 0, 0, 0, 660, -660, 0, 58, 0, 0, 29, 0, 16, 16], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4189291, 0, 0, 0, 0, -11125, -5009, 16134, -4155, 4155, 0, 0, 11125, 0, -779, 779, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4396, -318, 0, 4396, 0, 0, 0, 0, 0, -2198, -4396, 0, 20, 0, 0, 40, -302, 16, -32], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1686010, 0, 0, -7592602, 0, 2046, 6370, -3788, 980, -7007, 0, 0, 16660, 0, -1813, -1176, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -61828, 255, 0, -30914, 0, 0, 0, 0, 0, 0, -1657, 0, -187, 0, 0, -187, 136, 0, -17], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5988500, 0, 0, 11977000, 0, 32318, 14311, -18007, -10506, -10506, 0, 0, 32318, 0, 6653, 6653, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]}