Combined Displacement/Rotation BC? - DASSAULT: ABAQUS FEA Solver - Eng-Tips\n30 Jul 19 18:18\nI'm looking for any suggestions on how to get this snap fit together.\nI can physically/experimentally do this with the 3D-printed equivalent; however, I'd like to scale and substitute materials beyond prototyping.\nI'm currently trying the following approximate path (43deg arc displacement of left hook *Black*-below & in-place Amplitude UR3 of right hook to ease entry of left hook *Red*-below (Step-Time:0,0.5,1; Amp:0,1,0; Rotation-Amp:2deg). Any force-based suggestions?\nThe analysis currently terminates 6ksi short of yield (21ksi):\nI'm not necessarily looking for suggestions on analysis methods on the "snap" portion. I plan to use viscous dissipation or dynamic implicit methods to accomplish this.\nRE: Combined Displacement/Rotation BC?\nFEA way (Mechanical) 30 Jul 19 18:39\nIs that plot below on undeformed shape ? Or is it the actual deformation with unit scale ? Make sure that all properties (especially those regarding plasticity) and dimensions are correct and thus the hooks aren't too stiff. General contact should handle this but in case of convergence issues try stabilization. Is that dynamic implicit analysis ? You can apply displacement/rotation BCs to whole hooks instead of single node on each one.\n30 Jul 19 19:26\nIs that plot below on undeformed shape ? Or is it the actual deformation with unit scale ? Make sure that all properties (especially those regarding plasticity) and dimensions are correct and thus the hooks aren't too stiff. General contact should handle this but in case of convergence issues try stabilization.\nThe plot is the deformed shape to scale. This is a static general analysis. My self-prescribed protocol was to try static with viscous damping then move onto dynamic implicit if there isn't success in my first attempts.\nYou can apply displacement/rotation BCs to whole hooks instead of single node on each one.\nMy Reference points are currently kinematically coupled to the surfaces that I press on with my fingers when I snap-fit the part. If I were to apply the BC to every single node as you suggest, wouldn't that force no strain to occur and both objects to act as rigid bodies?\nThank you for your response FEA_way.\nFEA way (Mechanical) 30 Jul 19 19:50\nThat’s fine. I thought you apply displacement BCs to the nodes alone without any coupling to the surface. Stick with displacement control. It's much better than force control in analyses involving contact.\nWhat is your material model ? Can you attach .inp file ? I would take a look.\nMustaine3 (Mechanical) 31 Jul 19 08:59\nI would apply pressure load to bend the hooks (open them a bit) in a first step. In a second step I would then move the hooks into each other and take away the pressure load.\nMaybe a quasi-static analysis in A/Explicit is more efficient, when constant changes in contact and plasticity challenge the convergence in A/Standard.\n31 Jul 19 18:45\nWow, thanks FEA_way & Mustaine3 for the follow up (my first posts on this site, and your responses are very welcoming).\nWhat is your material model ?\nI'm using an linear-elastic model to debug and once bugs are worked out I will use an elastic-perfectly-plastic set of Al-6063 T5 properties (E=10,000,000 psi; nu=0.33, S_y=21000psi)\nThanks for the suggestion, Mustaine3. I am mostly interested in the reaction forces at the Control/Reference points, so this may complicate my end goal. I will try it though and make some judgements on the output.\nInp File (reduced interfering geometry feature from original post; using linear displacement rather than arc with little help):\n** Job name: Job-0002-1-0-1-5 Model name: Model-0002-1-0-1-5\n1, -0.0583981052,  0.880026281\n2, -0.0551195592,   0.89368242\n3, -0.0463112965,  0.912789047\n4, -0.0380563326,  0.924151003\n5, -0.0281256009,  0.934081733\n6, -0.0167636219,  0.942336679\n7, 0.00234297896,  0.951144934\n8,  0.015999116,  0.954423487\n9, 0.0299999993,  0.955525398\n10, 0.0440008864,  0.954423487\n11,  0.057657022,  0.951144934\n12, 0.0767636225,  0.942336679\n13, 0.0881256014,  0.934081733\n14, 0.0980563313,  0.924151003\n15,  0.106311291,  0.912789047\n16,  0.115119562,   0.89368242\n17,  0.118398108,  0.880026281\n18, -0.0595000014,  0.866025388\n19,  0.119499996,  0.866025388\n20, -0.0572544448,  0.854736269\n21, -0.0508596487,   0.84516573\n22, -0.0412891619,  0.838770986\n23, -0.0299999993,  0.836525381\n24, -0.0187108386,  0.838770986\n25, -0.00914034992,   0.84516573\n26, -0.00274555385,  0.854736269\n27, -0.000500000024,  0.866025388\n28, 0.00182167429,  0.877697229\n29, 0.00843324326,  0.887592137\n30, 0.0183281545,  0.894203722\n31, 0.0299999993,  0.896525383\n32, 0.0416718461,  0.894203722\n33, 0.0515667573,  0.887592137\n34, 0.0581783243,  0.877697229\n35, 0.0604999997,  0.866025388\n36, 0.0594242029,   0.85211277\n37, 0.0566980876,   0.84006983\n38,  0.050819587,  0.825301409\n39, 0.0440175049,   0.81395179\n40, 0.0349252857,  0.802978158\n41,  0.024791006,  0.793996274\n42,  0.012464026,  0.786106348\n43, 0.000386648317,  0.781421304\n44, -0.0167160388,  0.778112113\n45, -0.0299999993,  0.777975917\n46, -0.040874701,  0.774977267\n47, -0.0497091375,  0.767962754\n48, -0.0550946593,   0.75805074\n49, -0.056172546,  0.746821821\n50, -0.0527709275,  0.736066341\n51, -0.0454321951,  0.727499306\n52, -0.035808567,  0.716692388\n53, -0.0326175466,  0.710165262\n54, -0.0299999993,  0.695933163\n55, -0.0299999993,  0.688729167\n56, -0.0299999993,  0.674321234\n57, -0.0299999993,  0.667117298\n58, -0.0299999993,  0.652709365\n59, -0.0166666675,  0.652709365\n60, -0.00999999978,  0.652709365\n61, -0.00333333341,  0.652709365\n62, 0.00999999978,  0.652709365\n63, 0.0166666675,  0.652709365\n64, 0.0299999993,  0.652709365\n65, 0.0299999993,  0.660575271\n66, 0.0299999993,  0.668441236\n67, 0.0299999993,  0.676307201\n68, 0.0299999993,  0.684173107\n69, 0.0512835272,   0.73850888\n70,  0.041649241,  0.725744426\n71, 0.0353639983,  0.712973595\n72, 0.0311268046,  0.697552919\n73, 0.0611980744,  0.747563779\n74,  0.118898921,  0.852632821\n75,  0.116181143,  0.834699333\n76,  0.111987635,  0.819230497\n77,  0.106922962,  0.806005776\n78,  0.101424433,  0.794766247\n79, 0.0920848399,   0.77973783\n80, 0.0832192451,  0.768395245\n81, 0.0723142028,  0.757020593\n82, 0.0262497235,  0.697753727\n83, 0.0983719155,  0.805070937\n84,  0.106689863,  0.847795069\n85, -0.0466441549,   0.87177074\n86,  0.107257031,  0.871450067\n87, 0.0653204992,   0.85849148\n88, 0.0756531283,  0.857914448\n89, 0.0873188376,  0.860774934\n90,  0.106673524,  0.859434664\n91, 0.0966132283,  0.871863544\n92, 0.0782517567,  0.866898596\n93, 0.0671851784,  0.869688094\n94, 0.0711801648,  0.880427182\n95, 0.0794659629,  0.879526973\n96, 0.0882683769,  0.880847037\n97, 0.0973467678,  0.880427063\n98,   0.10809876,  0.891411006\n99,  0.101037458,  0.889127374\n100,  0.085514158,   0.88930577\n101, 0.0792602599,  0.890471816\n102, 0.0653476417,  0.890031874\n103, 0.0567917041,  0.891254902\n104, -0.0490689352,  0.891816854\n105,  -0.04207436,  0.890838683\n106, -0.028917674,  0.893168509\n107, -0.0173474345,  0.889050126\n108, -0.00384963304,  0.888757706\n109, 0.00442864001,  0.890348613\n110, 0.0975405499,  0.900616109\n111, 0.0892778635,  0.900953829\n112, 0.0789519027,  0.897537172\n113, 0.0740988255,   0.90290463\n114, 0.0616221949,  0.908239424\n115, 0.0458583422,  0.903984368\n116,  0.036268007,  0.900888562\n117, 0.0244532656,  0.901466012\n118, 0.0131221861,  0.903709173\n119, 0.000201409974,  0.903566658\n120, -0.0203822795,  0.906367421\n121, -0.0275921728,   0.90304184\n122, -0.0362590551,  0.904024601\n123, 0.0962167755,  0.914377213\n124,  0.090109244,  0.909913599\n125, 0.0791765377,  0.909769177\n126, 0.0715010166,  0.914978206\n127,  0.058656659,  0.913978338\n128, 0.0446984842,  0.911355019\n129, 0.0348338261,  0.912013531\n130, 0.0261983629,  0.912203789\n131, 0.0161586422,  0.914113939\n132, 0.00371229323,  0.913323224\n133, -0.00740179233,  0.918286026\n134, -0.0163717512,  0.914044619\n135, -0.0266776308,  0.913041294\n136, -0.0367733948,  0.913693964\n137, -0.0223690365,  0.918529749\n138, -0.0129411565,  0.920659065\n139, -0.00424117362,  0.925517559\n140, 0.0045800833,  0.925569594\n141, 0.0159364417,  0.926007986\n142, 0.0229598135,  0.921138465\n143, 0.0326213725,  0.924730837\n144, 0.0583827384,  0.921681583\n145, 0.0684465542,  0.919867873\n146, 0.0827775225,  0.920009851\n147, 0.0881667584,  0.924370885\n148, 0.0782221258,    0.9321872\n149, 0.0687595978,  0.929115891\n150, 0.0634293109,  0.932559609\n151, 0.0483854078,  0.928109348\n152, 0.0297841039,   0.93616724\n153, 0.0185924079,  0.939704895\n154, 0.00662451843,   0.93237859\n155, -0.0068103564,  0.932489395\n156, -0.0139434952,  0.937228262\n157, 0.0605776757,  0.941440403\n158, 0.0477961712,  0.946074605\n159, 0.0261072684,  0.940485179\n160,  0.017419422,  0.946867704\n161, 0.00403307471,  0.944071591\n162, -0.0379815511,  0.882042944\n163, -0.0261679422,  0.877829492\n164, -0.00691177323,  0.883376002\n165, -0.00660021557,  0.870498657\n166, -0.0181792323,  0.871021688\n167, -0.0248903129,  0.869910359\n168, -0.0354304761,  0.869079888\n169, -0.0476847328,  0.861671567\n170, -0.0389393643,  0.857199192\n171, -0.0277463235,  0.860223114\n172, -0.0195758846,  0.857770681\n173, -0.0104147075,   0.86262089\n174, -0.0365754031,  0.847801685\n175, -0.0274990704,  0.848801732\n176, -0.0210640449,  0.844527423\n177, 0.0653569251,  0.845098197\n178,  0.077107057,  0.842357278\n179, 0.0849278346,  0.849525511\n180, 0.0954194367,  0.846449673\n181, 0.0675197914,  0.836425185\n182, 0.0770403221,  0.832561493\n183, 0.0856615677,  0.839050353\n184, 0.0980724394,   0.83737278\n185,  0.110563494,   0.83582449\n186, 0.0584694855,  0.815002382\n187, 0.0661785007,  0.811682165\n188, 0.0780884549,  0.818330526\n189, 0.0884764791,  0.816204727\n190, 0.0971537977,   0.81368041\n191,  0.109662399,  0.830482185\n192,  0.099016048,  0.821771562\n193, 0.0895797238,  0.828251719\n194, 0.0797748864,  0.827047706\n195, 0.0694437772,  0.825424314\n196, 0.0551056787,  0.823532164\n197, 0.0459624119,  0.803254247\n198, 0.0580443293,  0.802342653\n199, 0.0655870214,  0.802850842\n200,  0.077168867,  0.805562973\n201, 0.0878854319,  0.804755867\n202, 0.0364469402,  0.793589056\n203, 0.0438776761,  0.792580664\n204, 0.0553868897,  0.792504072\n205, 0.0699768066,   0.79195261\n206, 0.0772242174,  0.793062389\n207, 0.0856725723,  0.791348934\n208, 0.0146583691,   0.78033942\n209, 0.0245527178,  0.782149851\n210, 0.0353689194,  0.783468604\n211, 0.0455137976,  0.782298446\n212, 0.0651015937,  0.782452404\n213, 0.0770038292,  0.781281948\n214,  0.087795727,  0.783273458\n215, -0.0373664387,  0.770596564\n216, -0.0288090222,  0.771136642\n217, -0.0161340497,  0.773838103\n218, -0.00988045242,  0.771271229\n219, 0.00543991942,  0.772012353\n220, 0.0153957196,   0.77026391\n221, 0.0248427894,   0.77001214\n222, 0.0351399258,  0.772904515\n223, 0.0468228832,  0.772009134\n224, 0.0561793558,  0.769385159\n225, 0.0672718734,  0.773263931\n226,  0.076669015,  0.771712482\n227, -0.0448195934,  0.764305532\n228, -0.0363513939,  0.758189619\n229, -0.0249610636,  0.756568551\n230, -0.0167935342,  0.762386501\n231, -0.00670996821,  0.762786925\n232, 0.00319724553,  0.762321055\n233, 0.0153621202,   0.75919795\n234, 0.0245124362,  0.759330034\n235, 0.0365412198,  0.761469722\n236, 0.0450036153,  0.761603832\n237, 0.0567389429,  0.761979163\n238, 0.0665461197,   0.76138556\n239, -0.0468223244,  0.751218021\n240, -0.0410705544,  0.751100302\n241, -0.0313052684,  0.749418914\n242, -0.0171541609,  0.749092102\n243, -0.0103251347,  0.751171231\n244, 0.0014920478,  0.749943435\n245, 0.0133394022,  0.748166621\n246,  0.023946112,  0.750050187\n247, 0.0349010304,  0.749948919\n248, 0.0451446734,  0.750605404\n249, 0.0548875481,  0.751018524\n250, -0.0500377789,  0.742746115\n251, -0.0410989858,  0.737609446\n252, -0.0315863229,  0.737019837\n253, -0.0160544589,  0.738427639\n254, -0.00868781749,  0.735959888\n255, 0.0117318295,  0.739211917\n256, 0.0231589824,  0.738757253\n257, 0.0348762535,  0.739093423\n258, 0.0456402525,  0.736911833\n259, -0.0409311205,  0.730573297\n260, -0.0283127949,  0.727247596\n261, -0.0160708316,  0.726901352\n262, -0.00370104075,  0.724941671\n263, 0.00137682306,  0.723704457\n264, 0.0141550824,  0.726014793\n265, 0.0223817807,  0.730891764\n266, 0.0338026173,  0.729344726\n267, -0.0311100688,  0.719185054\n268, -0.0177953802,  0.719277859\n269, -0.00381027046,  0.719063163\n270, 0.00479149772,  0.716017008\n271, 0.0105059911,  0.717307985\n272, 0.0216530561,  0.719010115\n273, 0.0340346918,  0.718147218\n274, -0.0181958675,  0.710315704\n275, -0.00700365705,  0.701940119\n276, 0.00533913169,  0.704487324\n277, 0.0149820177,  0.707522571\n278, 0.0253671482,  0.708085656\n279, -0.0171771552,  0.688800633\n280, 0.00324663636,  0.679312706\n281, 0.00789904688,  0.683359563\n282, 0.0235964451,  0.684516907\n283, 0.0134956539,  0.695329428\n284, -0.0157867707,  0.674727857\n285, -0.00258183712,   0.67728579\n286, 0.00634164037,  0.673917651\n287, 0.0140470248,  0.677676678\n288, 0.0225734357,   0.67673254\n289, -0.00982690789,  0.663146794\n290, 0.00143782096,  0.665749252\n291, 0.0153848054,  0.668530762\n292, 0.0226556733,  0.668687463\n293, -0.0592241026,  0.873047471\n294, -0.057027109,  0.886918783\n295, -0.0526872166,  0.900275588\n296, -0.0497450829,  0.906657577\n297, -0.0424070209,  0.918632209\n298, -0.0332860574,  0.929311454\n299, -0.0226067808,  0.938432395\n300, -0.0106321499,  0.945770502\n301, -0.0042501674,  0.948712647\n302, 0.00910663977,  0.953052521\n303, 0.0229779109,  0.955249488\n304, 0.0370220877,  0.955249488\n305, 0.0508933589,  0.953052521\n306, 0.0642501637,  0.948712647\n307, 0.0706321523,  0.945770502\n308, 0.0826067775,  0.938432395\n309, 0.0932860598,  0.929311454\n310,  0.102407023,  0.918632209\n311,  0.109745085,  0.906657577\n312,  0.112687215,  0.900275588\n313,  0.117027111,  0.886918783\n314,  0.119224101,  0.873047471\n315, -0.0589331649,  0.860270262\n316, -0.0545283519,  0.849636078\n317, -0.0463893227,  0.841497064\n318, -0.0357551649,  0.837092221\n319, -0.0242448356,  0.837092221\n320, -0.0136106778,  0.841497064\n321, -0.00547164632,  0.849636078\n322, -0.0010668342,  0.860270262\n323, 8.60489454e-05,   0.87197566\n324, 0.00464017689,  0.882970273\n325, 0.0130551076,  0.891385198\n326, 0.0240497459,   0.89593935\n327, 0.0359502546,   0.89593935\n328, 0.0469448939,  0.891385198\n329, 0.0553598218,  0.882970273\n330, 0.0599139519,   0.87197566\n331, 0.0602139086,  0.858835101\n332, 0.0582248047,  0.845860243\n333, 0.0549155325,   0.83472681\n334, 0.0529385805,  0.829811573\n335, 0.0486027673,  0.821171701\n336, 0.0463251583,  0.817396998\n337, 0.0417050831,  0.810810983\n338, 0.0394084565,  0.807950318\n339, 0.0371441618,  0.805346668\n340, 0.0327620171,  0.800824344\n341, 0.0306620933,  0.798866212\n342, 0.0286311992,   0.79708606\n343, 0.0266733132,  0.795467734\n344, 0.0229856856,  0.792658031\n345, 0.0212578159,  0.791440666\n346,  0.019607095,  0.790332675\n347, 0.0180326104,  0.789323926\n348, 0.0165329669,  0.788404942\n349, 0.0151063949,  0.787567377\n350, 0.0137508372,  0.786803484\n351, 0.0111384913,  0.785485983\n352, 0.00959477201,  0.784798145\n353, 0.00779552339,  0.784042239\n354, 0.00569684803,  0.783220947\n355, 0.0032472664,  0.782342196\n356, -0.00295477966,  0.780484438\n357, -0.00685714278,  0.779573262\n358, -0.0114109805,  0.778751314\n359, -0.0228777863,  0.777790308\n360, -0.0355885476,  0.777024865\n361, -0.045645602,  0.771915436\n362, -0.0529016741,  0.763278306\n363, -0.0561997853,   0.75249064\n364, -0.055014044,  0.741272569\n365, -0.0495335236,  0.731412828\n366, -0.0401276127,  0.722534657\n367, -0.0306598283,  0.703168571\n368, -0.0299999993,   0.68152523\n369, -0.0299999993,  0.659913301\n370, -0.0233333334,  0.652709365\n371, 0.00333333341,  0.652709365\n372, 0.0233333334,  0.652709365\n373, 0.0556118004,  0.742841065\n374, 0.0479240194,  0.734636724\n375, 0.0453073345,  0.731235445\n376,  0.043259833,  0.728283763\n377, 0.0403752327,  0.723573506\n378, 0.0393617488,  0.721726239\n379, 0.0385510474,  0.720159888\n380, 0.0378991216,  0.718835235\n381, 0.0371525101,  0.717237353\n382, 0.0363070108,  0.715307415\n383, 0.0343343616,  0.710148335\n384, 0.0332445651,  0.706725359\n385, 0.0321456827,  0.702577055\n386,  0.030334441,  0.691480577\n387,  0.119343385,  0.859184086\n388,  0.118202358,  0.846370637\n389,  0.117286474,  0.840394437\n390,  0.114913546,  0.829278767\n391,  0.113508299,   0.82412529\n392,  0.110371545,  0.814585328\n393,  0.108677968,  0.810180366\n394,  0.105120808,  0.802051842\n395,  0.103284217,  0.798308611\n396, 0.0995513648,  0.791415095\n397, 0.0976737291,  0.788245797\n398, 0.0957991481,  0.785248995\n399, 0.0939342678,  0.782415926\n400, 0.0902558118,   0.77720654\n401, 0.0884514228,  0.774814069\n402, 0.0866752639,  0.772552788\n403, 0.0849303678,  0.770415485\n404, 0.0815439522,  0.766485453\n405, 0.0799061283,  0.764679968\n406, 0.0783070847,  0.762972891\n407,   0.07674779,    0.7613585\n408, 0.0752289444,  0.759831607\n409, 0.0737510026,  0.758387208\n410, 0.0709185973,  0.755727232\n411, 0.0695640668,  0.754503012\n412, 0.0682503656,   0.75334394\n413, 0.0669771209,  0.752246261\n414, 0.0657438487,  0.751206577\n415, 0.0645499825,  0.750221491\n416, 0.0633948743,  0.749287903\n417, 0.0622778237,  0.748402894\n418, 0.0606679395,  0.750246227\n419, 0.0621855855,  0.751096249\n420, 0.0131192934,  0.784119725\n421, 0.0115745096,  0.783325732\n422, 0.0350164548,  0.720108449\n423, 0.0635487437,  0.751907885\n424, 0.0648601502,  0.752777815\n425, 0.0661404729,  0.753745973\n426, 0.0160842203,  0.785839856\n427, 0.0674061254,  0.754817486\n428, 0.0686746761,  0.755976617\n429, 0.0176096987,  0.786767066\n430, 0.0360043161,  0.721890092\n431, 0.0699583218,  0.757217348\n432, 0.0192106813,  0.787733078\n433, 0.0712668672,  0.758544326\n434, 0.00798988435,  0.781673014\n435,  0.072617054,  0.759966195\n436, 0.0209009331,  0.788745642\n437, 0.0740153044,  0.761473477\n438, 0.0370861888,   0.72371459\n439, 0.0226868503,  0.789820373\n440, 0.0754635856,  0.763065219\n441, 0.0769507512,  0.764737606\n442, 0.0245714914,  0.790979803\n443, 0.00583490357,  0.780713677\n444, 0.0784689412,  0.766491413\n445, 0.0265444685,  0.792257369\n446, 0.0800182521,   0.76833415\n447, 0.0382911451,  0.725711823\n448, 0.0329919122,  0.715971172\n449, 0.0285574999,  0.793686688\n450, 0.0816049799,  0.770273328\n451, 0.00336735602,  0.779684842\n452, 0.0305812433,  0.795302927\n453, 0.0848921463,  0.774446249\n454, 0.0326974168,  0.797114849\n455, 0.0865705758,  0.776691258\n456, 0.0882640779,     0.779064\n457, 0.00053475413,  0.778606892\n458, 0.0319355577,  0.713472188\n459, 0.0349216349,  0.799058974\n460, 0.0899697915,  0.781582952\n461, 0.0373043977,  0.801125467\n462, 0.0933787152,  0.787087083\n463, 0.0398908742,  0.803372741\n464, -0.00275282259,  0.777481675\n465, 0.0950785577,  0.790061116\n466, 0.0412717834,  0.730610549\n467, 0.0307140928,  0.710493863\n468, 0.0425668918,  0.805915117\n469, 0.0967761353,  0.793192387\n470, 0.0984665751,  0.796490133\n471, 0.0449022874,  0.808907807\n472,  0.100141242,  0.799975395\n473, -0.00658391882,  0.776298523\n474, 0.0472404175,  0.812219262\n475,  0.101786204,  0.803654552\n476,  0.029290963,  0.707034767\n477, 0.0432344638,  0.733588457\n478,  0.103380881,  0.807516098\n479, 0.0496800728,  0.815728545\n480,  0.104903154,  0.811575711\n481, -0.0110285468,  0.775068998\n482,  0.106321543,   0.81588304\n483,  0.107599363,  0.820470989\n484, 0.0596494079,  0.752186537\n485, 0.0613162704,  0.752854943\n486,  0.009884133,  0.782527447\n487, 0.0138337603,  0.782209694\n488, 0.0146036157,    0.7849437\n489, 0.0640857816,  0.754275262\n490, 0.0653205737,  0.755184054\n491, 0.0337029137,  0.723439634\n492, 0.0665180534,  0.756233871\n493, 0.0185949001,  0.785163164\n494, 0.0677108094,  0.757391036\n495,  0.068911843,  0.758633733\n496, 0.0202639233,  0.786138713\n497, 0.0701260492,   0.75996989\n498, 0.0220370032,  0.787117541\n499, 0.0348719656,  0.725474715\n500, 0.0713919327,   0.76143086\n501, 0.0727242753,  0.762988985\n502, 0.0239337031,  0.788112879\n503, 0.00842445716,  0.779306769\n504, 0.0741071776,  0.764639199\n505, 0.0259747002,  0.789153934\n506,  0.075514555,  0.766375184\n507, 0.0769404247,  0.768184781\n508, 0.0281760804,  0.790297508\n509,  0.036106959,  0.727645636\n510, 0.0783953071,  0.770071507\n511, 0.00624694256,   0.77822274\n512, 0.0304444823,  0.791657209\n513, 0.0396603495,  0.727990925\n514, 0.0832290426,  0.772308469\n515, 0.0311638657,  0.719315052\n516,  0.032501664,  0.793417931\n517, 0.0830325559,  0.776237428\n518, 0.0346195735,  0.795327067\n519, 0.0846182406,  0.778455138\n520, 0.00378725538,  0.777061462\n521, 0.0862080753,  0.780785561\n522, 0.0368563458,  0.797222078\n523, 0.0916776061,  0.784256339\n524, 0.0296659768,  0.717019439\n525, 0.0393083468,   0.79912436\n526, 0.00102975755,   0.77583617\n527, 0.0908794254,  0.788735211\n528, 0.0285111386,   0.71435529\n529, 0.0421609655,  0.801092267\n530, 0.0923886672,  0.791698337\n531, 0.0939012095,  0.794801295\n532, 0.0954191759,   0.79803741\n533, -0.00212551956,  0.774514735\n534, 0.0481490158,  0.806995511\n535, 0.0407465436,  0.735850275\n536, 0.0503883846,  0.810432434\n537, 0.0997555926,  0.808820546\n538,  0.052827362,  0.813870072\n539,  0.042760741,  0.739226103\n540,  0.102256209,  0.816857636\n541, 0.0522905588,   0.81946826\n542,  0.108704902,  0.825344145\n543, 0.0607288033,  0.754629672\n544, 0.0154346554,   0.78317523\n545, 0.0621181987,   0.75510323\n546, 0.0121643143,  0.781243205\n547, 0.0633864999,  0.755661368\n548, 0.0655515641,  0.757592559\n549,  0.031448666,  0.724916399\n550, 0.0587746464,  0.749104142\n551,  0.017010197,  0.784154713\n552,  0.066657342,  0.758770823\n553, 0.0195336193,  0.783558965\n554, 0.0677762106,  0.760004342\n555, 0.0103756338,  0.780282319\n556, 0.0324867256,  0.721456409\n557, 0.0688841119,  0.761300266\n558, 0.0212133303,  0.784537613\n559, 0.0700810701,  0.762792051\n560, 0.0230139866,  0.785465062\n561, 0.0713711008,  0.764382005\n562, 0.0726913437,  0.766071498\n563, 0.0249617938,  0.786349356\n564, 0.0326008983,  0.727060676\n565,  0.073998481,    0.7678743\n566, 0.0270963348,  0.787219405\n567, 0.0753059834,  0.769759297\n568, 0.0090900138,   0.77693218\n569, 0.0374556407,  0.730055332\n570, 0.0798985809,  0.772045791\n571, 0.0295115523,  0.788120031\n572,   0.05908411,  0.754202425\n573, 0.0814458579,  0.774101555\n574,  0.032519374,  0.789157093\n575, 0.0810985491,  0.777954638\n576, 0.0069129644,  0.775758743\n577, 0.0825996846,   0.78013289\n578, 0.0840990916,  0.782392323\n579, 0.0259338841,    0.7187801\n580, 0.0893561095,  0.785914958\n581, 0.0409551263,  0.797011793\n582, 0.00448312424,  0.774483502\n583, 0.0249827281,  0.715262771\n584, 0.0435592756,  0.798556805\n585, 0.0272595361,  0.711291313\n586, 0.0389770344,  0.732771218\n587, 0.0909073874,  0.796257734\n588, -0.00575738773,  0.773037553\n589, 0.0969246179,  0.801450193\n590,  0.103945829,   0.82607615\n591, 0.0586513728,  0.809728086\n592, -0.00782783888,  0.767799258\n593, 0.0416764319,  0.744779587\n594, 0.0555838682,  0.817398369\n595, 0.0948953107,  0.806283951\n596,  0.101067133,  0.812720835\n597, 0.0163169559,  0.781426013\n598, 0.0589870512,  0.755914629\n599,  0.060288623,  0.756453216\n600, 0.0628132299,   0.75677073\n601, 0.0179293826,  0.782497466\n602, 0.0220958907,   0.78294456\n603, 0.0291041695,  0.726323128\n604, 0.0129219135,  0.779166758\n605, 0.0576002449,  0.751508713\n606, 0.0686860606,  0.764071941\n607, 0.0238547623,  0.783798575\n608, 0.0699853152,  0.765669346\n609, 0.0110765994,  0.778018653\n610, 0.0257799346,  0.784542739\n611, 0.0712435171,  0.767338037\n612, 0.0644425452,   0.75888437\n613, 0.0724033788,  0.769198239\n614, 0.0278922804,  0.785204589\n615, 0.0302179847,  0.785780072\n616,  0.073542051,  0.771195352\n617, 0.0675062761,  0.762540102\n618,  0.078089729,  0.773730934\n619, 0.00998958293,  0.774445057\n620, 0.0795768276,  0.775819242\n621, 0.0790892094,  0.779636562\n622, 0.0286764707,  0.720843852\n623, -0.0010392291,  0.771627069\n624, 0.0386033468,  0.795355022\n625, 0.00779488171,  0.773281455\n626, 0.0327414423,  0.786123276\n627, 0.0213433765,  0.710558712\n628, 0.0869926289,  0.787372828\n629, 0.0805014893,  0.781782985\n630, 0.0424518362,  0.794809997\n631,   0.05026187,  0.802264035\n632, -0.00433178758,  0.769964039\n633,  0.036560867,  0.790262043\n634, 0.0616417751,  0.817984104\n635, 0.0302449577,  0.728498578\n636, 0.0363932811,  0.734651446\n637,  0.035029266,  0.731898427\n638, 0.0611346178,  0.812390864\n639,  0.053523466,  0.808652282\n640, 0.0392282046,  0.741637826\n641, 0.0483576059,  0.740562558\n642, 0.0960274115,  0.809946477\n643,  0.027749138,  0.702843964\n644, -0.0144602451,  0.769241154\n645, 0.0982456356,  0.817548275\n646,  0.104350396,  0.831219852\n647, 0.0597055852,  0.758218586\n648, 0.0618050434,  0.758820593\n649, 0.0188881289,   0.78086859\n650, 0.0204759557,  0.781939268\n651,  0.022956159,  0.781372547\n652, 0.0686135665,  0.766897798\n653, 0.0156358648,  0.778439105\n654, 0.0698276013,  0.768394828\n655,  0.013900023,   0.77706027\n656, 0.0707348362,  0.770258486\n657, 0.0571660697,  0.754114449\n658, 0.0643474534,  0.761246026\n659, 0.0120233903,  0.775653481\n660, 0.0323275402,  0.733535826\n661, 0.0264037233,  0.782693326\n662, 0.0673349798,  0.765247643\n663, 0.0761623383,   0.77535224\n664, 0.0715954006,  0.772423983\n665, 0.0284345783,  0.783105373\n666, 0.0382232629,  0.791947424\n667,  0.074774608,  0.773273885\n668,  0.055154223,  0.747538686\n669, 0.0272674803,  0.722469985\n670, 0.0306219421,  0.783400416\n671, 0.0776286125,  0.777486145\n672, 0.0265599024,  0.727691591\n673, 0.0356379077,  0.788212121\n674, 0.0111153722,  0.771714926\n675, 0.0312958024,  0.730833054\n676, 0.0548534803,  0.754093945\n677, 0.0465586968,  0.799556136\n678, 0.0402184799,  0.793443263\n679, 0.0833912194,  0.786196768\n680, 0.0516189262,  0.805415869\n681, 0.0565906093,  0.806852937\n682, 0.0537066683,  0.801031291\n683, 0.0378560871,  0.737781644\n684, 0.0302155148,  0.722898006\n685, 0.0189950615,  0.705610693\n686, 0.0921195224,  0.810913146\n687, 0.0594355576,  0.805112064\n688, 0.0588712879,  0.821122408\n689, 0.0385835841,  0.747265816\n690, 0.0797246099,  0.785548806\n691, 0.0233186763,  0.703877211\n692, 0.0931126848,  0.814585447\n693, 0.00871883985,  0.770612478\n694, -0.0115053672,  0.764380693\n695, -0.00243544905,  0.767142177\n696, -0.0196982361,  0.767297566\n697, 0.0199386999,  0.779240906\n698, 0.0214536097,  0.780355155\n699, 0.0741345361,  0.776939332\n700, 0.0663413033,  0.766533554\n701, 0.0670643747,  0.768442571\n702, 0.0382653214,  0.787692308\n703, 0.0251224563,  0.780519068\n704, 0.0686513782,  0.769209027\n705, 0.0689578652,  0.770902216\n706, 0.0268060677,  0.780807078\n707, 0.0151647348,  0.775011957\n708, 0.0133320848,  0.773106098\n709, 0.0308265537,  0.781028926\n710, 0.0167849883,  0.776609659\n711,  0.028744055,  0.780957222\n712, 0.0416414738,  0.791510046\n713, 0.0515512191,  0.747896254\n714,  0.018398514,  0.777982473\n715, 0.0278777312,  0.729849279\n716, 0.0654484928,  0.763405919\n717, 0.0398268513,  0.790240705\n718, 0.0574830249,  0.756964386\n719, 0.0611335412,  0.760972142\n720, 0.0520329699,  0.751238465\n721, 0.0628848225,  0.761482775\n722, 0.0755566582,  0.785345495\n723,  0.054983817,  0.756887496\n724, 0.000492467545,  0.768760026\n725, 0.0496564731,  0.799101114\n726, 0.0354093015,  0.785912037\n727, 0.0287281219,  0.731918812\n728, 0.0633186772,  0.825386941\n729, 0.0280149635,  0.724286079\n730,  0.033900369,  0.746325076\n731,  0.043544136,  0.747756839\n732, 0.0613063984,  0.807561159\n733, 0.0168073643,  0.711660564\n734, -0.00256601512,  0.763036251\n735, 0.0904805288,  0.803821623\n736,  0.044758603,  0.796087801\n737, 0.0756509304,   0.77909559\n738, 0.0654144213,  0.820371389\n739, 0.00920721423,  0.767676294\n740,  0.082274124,   0.78952539\n741, 0.0619135797,  0.803534806\n742, 0.0991701931,    0.8311975\n743, 0.0225501712,  0.778824747\n744, 0.0196032152,  0.776319206\n745, 0.0591712035,  0.760329723\n746, 0.0211362988,  0.777612388\n747, 0.0287697185,  0.778794885\n748, 0.0308324452,  0.778616428\n749, 0.0700760186,  0.776350021\n750, 0.0726552531,  0.774780035\n751, 0.0381190255,  0.785609424\n752, 0.0241665803,  0.729276538\n753, 0.0382463299,  0.789336026\n754, 0.0650479794,  0.770801604\n755, 0.0329319984,  0.783534527\n756, 0.0269174557,   0.77899605\n757, 0.0607717298,  0.763186753\n758, 0.0721631721,  0.778586149\n759, 0.0249762069,  0.722275794\n760, 0.0523644313,  0.754333079\n761, 0.0426289551,  0.789816678\n762, 0.0671433806,  0.775787771\n763,  0.025876781,  0.731988311\n764, 0.0647609308,  0.766167879\n765, 0.0776050687,  0.787315369\n766, 0.0451391861,  0.789912283\n767, 0.0468659736,  0.745890439\n768, 0.0292894095,  0.734846294\n769, 0.0489891693,  0.795669198\n770, 0.0570494384,  0.759693146\n771, 0.0526528619,  0.798366308\n772, 0.00550630176,  0.767330825\n773, 0.0167976953,    0.7733652\n774, 0.0846211165,  0.788594663\n775, 0.0122919306,  0.768729866\n776,  0.073762469,  0.780595899\n777, 0.0376323871,  0.752379894\n778, 0.0356694907,  0.742103577\n779, 0.0018866132,  0.773116946\n780, 0.0639962107,  0.814742267\n781,  0.060822472,  0.801270902\n782, -5.53520113e-05,  0.761904359\n783, 0.0930291638,  0.833947599\n784, 0.0877857953,  0.807683885\n785,  0.017548779,  0.715661108\n786, 0.0671336204,  0.816567242\n787, 0.0579292402,   0.82803911\n788, -0.000685228792,  0.764595687\n789, 0.0208420921,  0.774691284\n790, 0.0629025102,    0.7635535\n791, 0.0330334082,  0.781030595\n792, 0.0588000081,  0.762515664\n793, 0.0163203403,   0.76630199\n794, 0.0306024086,  0.776150823\n795,   0.01325374,  0.765345037\n796, 0.0549745895,  0.759397566\n797, 0.0238732975,   0.77738446\n798, 0.0648738146,  0.768509209\n799, 0.0465675779,  0.786423087\n800, 0.0253010746,  0.725284696\n801, 0.0648747534,  0.775177896\n802, 0.0631998852,  0.772865534\n803, 0.0185915455,  0.769976139\n804, 0.0284000561,  0.776613593\n805, 0.0412375256,  0.787976921\n806, 0.0262068212,  0.735371709\n807, 0.0855913386,  0.784793198\n808, 0.0334743969,  0.736337483\n809, 0.0474781692,   0.79172647\n810, 0.0228110291,  0.733125925\n811, 0.0481728092,  0.749021769\n812, 0.0721924752,  0.781832576\n813, 0.0883100703,  0.790168226\n814, 0.0801973641,  0.792658687\n815, 0.0379307531,  0.783273876\n816, 0.00656083599,  0.763306439\n817, 0.0570625849,  0.799143732\n818, 0.0522860214,   0.79546833\n819, 0.0843162388,  0.807108581\n820, 0.0180498492,  0.774965525\n821, 0.0747796074,  0.789061487\n822, 0.0323068276,  0.740224779\n823, 0.0686669797,  0.779215097\n824, 0.0706212893,  0.817621231\n825, 0.0922733322,  0.799440145\n826, 0.00996115059,  0.764272451\n827, 0.0179217849,  0.719369829\n828, 0.0355158858,  0.755146086\n829, -0.000947717344,  0.758265078\n830, 0.0315875374,  0.747369587\n831, 0.0404671356,  0.749926925\n832, 0.0213011894,  0.698791623\n833,  0.070525676,  0.780771434\n834, -0.00404536398,  0.761017263\n835, 0.0880026817,  0.811574638\n836, 0.0163640324,  0.700712323\n837, 0.0138150975,  0.716402292\n838, 0.0246177092,  0.712428927\n839, 0.0652641654,  0.831252813\n840, 0.0949482024,  0.825842023\n841, 0.0629670024,  0.770791173\n842, 0.0617336445,  0.775422037\n843, 0.0583481751,  0.764544904\n844, 0.0330246724,  0.778493345\n845, 0.0353487805,  0.780964971\n846, 0.0142589631,  0.762072563\n847, 0.0254296251,   0.77590704\n848, 0.0408498161,  0.785413563\n849, 0.0662863925,  0.778151751\n850,   0.03021615,  0.773627281\n851, 0.0543355756,  0.761725187\n852, 0.0441024229,  0.787251294\n853, 0.0377646051,  0.780825555\n854, 0.0224523488,  0.776058316\n855, 0.0601451956,   0.76575458\n856, 0.0496689677,  0.792612553\n857, 0.0552382842,   0.79527849\n858, 0.0217237808,  0.726676404\n859, 0.0262821801,  0.738499343\n860, 0.0627257228,  0.768479586\n861, 0.0499225408,  0.754796207\n862, 0.0299932472,  0.738385558\n863, 0.0771836638,  0.790633321\n864, 0.0200821031,  0.730262816\n865, 0.0829563588,   0.79219377\n866, 0.0723899901,  0.784400702\n867, 0.0550092235,  0.797587156\n868, -0.00865135528,  0.755562127\n869, 0.0474973843,  0.788412392\n870, 0.0877496079,  0.797577977\n871, 0.0231002234,   0.73587662\n872, 0.0423221663,  0.752560616\n873, 0.0190189816,  0.772926629\n874, 0.0215724334,  0.722640872\n875, 0.0075612287,  0.759505928\n876, 0.0603333004,  0.798762202\n877, 0.0329257175,  0.753755629\n878, 0.0190846305,   0.76691097\n879, 0.0834338963,  0.815655828\n880, 0.0142784808,  0.719853222\n881, 0.0852852017,  0.802753329\n882, 0.0691030622,  0.783452749\n883, 0.00365228951,   0.75865823\n884, 0.0311408322,  0.749755859\n885,  0.067531459,   0.78134197\n886, 0.0689273328,  0.813370705\n887, 0.0128602432,   0.71285212\n888, -0.00494211819,    0.7565611\n889, 0.0895965919,  0.793141842\n890, 0.0601773486,  0.833118796\n891, 0.0704755634,  0.829869449\n892, 0.0110148899,  0.760829926\n893, 0.0081163561,  0.708339512\n894, 0.0897575915,  0.831791878\n895,  0.035288658,  0.778399348\n896, 0.0222533587,  0.773184836\n897, 0.0329083987,  0.775885046\n898, 0.0608989522,  0.771029532\n899,   0.06385196,  0.777170718\n900, 0.0614310391,  0.773155808\n901, 0.0434584618,  0.784961581\n902, 0.0275160056,  0.774246037\n903, 0.0566055849,  0.765554428\n904, 0.0509056859,  0.760566115\n905,  0.056664478,  0.764038682\n906, 0.0208848156,  0.772024572\n907, 0.0238994155,  0.774505317\n908, 0.0494049825,  0.790051937\n909, 0.0402201079,  0.780625463\n910,   0.06536185,  0.780344188\n911,  0.080751285,  0.795643449\n912, 0.0459592342,  0.784410536\n913,  0.075352788,   0.79589653\n914, 0.0174760018,  0.762986839\n915, 0.0578785315,  0.766613424\n916, 0.0735677108,  0.793399692\n917, 0.0288454127,  0.742013812\n918,  0.084464252,  0.798639774\n919, 0.0523961559,  0.792614937\n920, 0.0465380587,  0.753304243\n921, 0.0180039033,  0.722896993\n922, 0.0196531843,  0.733545363\n923, 0.00895847939,  0.755387545\n924, 0.0177091863,  0.726352692\n925,  0.040504355,  0.783023357\n926, 0.0638681799,  0.796899438\n927, 0.0109638711,   0.72030592\n928, 0.0181991886,  0.760114074\n929, 0.0340365507,  0.757900119\n930, 0.0297887698,  0.746066153\n931, 0.0675260127,  0.786986172\n932, 0.0198839754,  0.736472487\n933, 0.0580019243,   0.79565388\n934, 0.000299426611,  0.754028201\n935, 0.0807095245,  0.806410313\n936, 0.0297790747,  0.752842009\n937, -0.0103926323,  0.759372771\n938, 0.0872325674,  0.820792437\n939, 0.0124529665,  0.757660449\n940, 0.0682590008,   0.80889082\n941, 0.0737018511,  0.821245551\n942, 0.00891575776,  0.713683128\n943, 0.0870032981,  0.833290339\n944, 0.0741778091,  0.824805737\n945,  0.042673368,  0.780372381\n946, 0.0252796765,  0.772882342\n947, 0.0234696195,  0.771481633\n948, 0.0601546466,  0.777271509\n949,  0.032717187,  0.773182571\n950, 0.0278200191,  0.772109807\n951, 0.0548550226,  0.764143705\n952, 0.0583609827,  0.769069552\n953, 0.0520803519,  0.762904763\n954, 0.0399981774,  0.778163314\n955,  0.058494702,  0.792588711\n956,  0.045616325,  0.757487714\n957,  0.021432301,  0.769864976\n958, 0.0209865104,   0.76360023\n959, 0.0495289974,  0.787680507\n960, 0.0627982989,   0.78263706\n961, 0.0609134212,  0.796014726\n962, 0.0711984187,  0.788148761\n963, 0.0778638124,  0.798861742\n964, 0.0144281629,  0.723092675\n965, 0.0554089695,  0.765960038\n966, 0.0186168514,   0.75797224\n967, 0.0488713533,  0.785704672\n968, 0.0167947654,  0.729973733\n969, 0.0637304857,  0.802185059\n970, 0.0226516649,  0.741685212\n971, 0.0282315761,  0.748755693\n972, 0.0314666703,  0.756906509\n973, 0.0352000371,  0.775747478\n974, 0.00439503975,  0.754846811\n975, 0.0623867474,  0.779600382\n976, 0.0812384784,  0.802563071\n977, 0.0799199268,  0.810464561\n978, 0.0146780601,  0.754979253\n979, 0.0525554493,  0.757125199\n980, 0.0523319282,  0.789886355\n981,  0.025466511,  0.743800402\n982, 0.0715670958,  0.797139108\n983, -0.00232410594,  0.748745143\n984, 0.0162191242,  0.733857512\n985, 0.0744283423,  0.813394845\n986, 0.0910103545,  0.821590722\n987, 0.0823313296,  0.820666313\n988, 0.0767962858,  0.821045101\n989, 0.0795981362,  0.789565027\n990, 0.00800816715,  0.719233215\n991, 0.0753314421,  0.828573704\n992, 0.0853274688,  0.829482734\n993, 0.0587393269,  0.771594346\n994, 0.0580607466,  0.775230169\n995, 0.0374804251,  0.775713027\n996, 0.0263929572,  0.771203041\n997, 0.0501886681,  0.764312267\n998, 0.0451142155,  0.780098677\n999, 0.0472334363,  0.759693205\n1000, 0.0618216693,  0.792962968\n1001, 0.0583763272,  0.778921723\n1002, 0.0539503992,  0.768214285\n1003, 0.0635216907,  0.785162568\n1004, 0.0228738524,  0.745150983\n1005, 0.0475167595,  0.779813349\n1006, 0.00504538883,  0.750966847\n1007, 0.0212140754,   0.76002717\n1008,  0.055325482,  0.789703012\n1009, 0.0542158782,  0.766365409\n1010, 0.0714895874,  0.804018199\n1011, 0.0374410078,  0.773059845\n1012,  0.079021275,  0.814519465\n1013, 0.0416288897,  0.757119775\n1014, 0.0664310306,  0.790716708\n1015, 0.0700448528,  0.806205213\n1016, 0.0665446296,  0.799292445\n1017, 0.0398132131,  0.754746854\n1018,  0.039331615,  0.759282053\n1019, 0.0106712934,  0.724335313\n1020, 0.0165248774,   0.73766458\n1021, 0.0256660935,  0.747315228\n1022, 0.0746170655,  0.798347116\n1023, 0.0169338062,  0.756690264\n1024,  0.028354045,  0.756104231\n1025, 0.0171658564,  0.752716541\n1026, 0.0423920155,  0.777965486\n1027, 0.0266190134,  0.751736999\n1028, 0.0520361252,  0.787185013\n1029, 0.0296955314,  0.770861983\n1030, 0.0776613131,   0.80211705\n1031, 0.0510857813,  0.784318268\n1032, 0.0839163885,  0.811301231\n1033, 0.0597338751,   0.78075254\n1034, 0.0761357471,  0.809365094\n1035, 0.0837925673,  0.825551391\n1036, 0.0130634904,  0.729667246\n1037, -0.0063930857,  0.743049681\n1038, 0.0813610107,  0.830967069\n1039, 0.0397060588,  0.773217797\n1040, 0.0236764196,  0.768316865\n1041, 0.0388889685,  0.763743758\n1042, 0.0559477583,  0.772461236\n1043, 0.0562412627,  0.777240992\n1044, 0.0625765622,  0.789451063\n1045, 0.0260753799,  0.768975079\n1046, 0.0487253368,  0.762032986\n1047, 0.0549566895,  0.786792696\n1048,   0.04841768,  0.765952587\n1049, 0.0470421351,  0.777542531\n1050, 0.0378367715,  0.770339549\n1051, 0.0275887493,  0.769579589\n1052, 0.0227326881,  0.766121328\n1053, 0.0444929339,  0.775246739\n1054, 0.0208982043,  0.757042229\n1055, 0.0507075563,  0.781509459\n1056, 0.0585943386,  0.789610028\n1057, 0.0421460643,  0.775482357\n1058, 0.0602836162,   0.78324604\n1059, 0.0319386721,  0.768565178\n1060, 0.0218268372,  0.752725005\n1061, 0.0525336005,   0.77078259\n1062, 0.0543669723,  0.783706069\n1063, 0.0433181673,  0.759411573\n1064, 0.0215102024,  0.748309016\n1065, 0.0410683937,  0.761492193\n1066, 0.0741947666,  0.801477075\n1067, 0.0277236924,  0.759252191\n1068, 0.0175334811,   0.74867034\n1069, 0.0572998151,   0.78093791\n1070, 0.0502857156,  0.768130243\n1071, 0.0195107535,  0.750659704\n1072, 0.0305789243,  0.759760022\n1073, 0.0244792961,  0.755390644\n1074, 0.0124569936,  0.752856731\n1075, 0.00919794664,  0.728852153\n1076, 0.00292727235,  0.745866179\n1077, 0.0658119097,  0.807102263\n1078, 0.0143755917,  0.743022442\n1079, 0.0739726275,  0.804639518\n1080, 0.0122113787,  0.733999431\n1081, 0.0875869468,  0.824757993\n1082, 0.0320661366,  0.743318617\n1083, 0.0652014762,  0.794049263\n1084, -0.00973808207,  0.745130897\n1085, 0.0791154653,  0.836658001\n1086, 0.0441659205,  0.772756398\n1087, 0.0468291603,  0.775020897\n1088, 0.0466976799,  0.763775051\n1089, 0.0429234914,  0.763600945\n1090, 0.0574583672,  0.783602059\n1091, 0.0351866409,  0.769418001\n1092, 0.0323082842,  0.763334572\n1093, 0.0192245506,  0.744865119\n1094, 0.0280764233,  0.767398596\n1095, 0.0301803909,   0.76807946\n1096, 0.0485343784,  0.769736052\n1097, 0.0348346159,  0.764631033\n1098, 0.00688197138,  0.737738252\n1099,  0.053892009,  0.780001283\n1100, 0.0491073243,  0.777384818\n1101, 0.0192535669,  0.754743099\n1102, 0.0090806447,  0.748568118\n1103, 0.0580493659,  0.786575794\n1104, 0.0258023087,  0.767377973\n1105, 0.0543661006,  0.775216579\n1106, 0.0501979776,  0.771258533\n1107, 0.0636565685,  0.805383742\n1108, 0.00852288771,  0.743506253\n1109, 0.0414625183,    0.7700243\n1110, -0.00120334758,  0.744440258\n1111, 0.00585130276,  0.723163545\n1112, -0.0132914931,  0.747822404\n1113, 0.0392538644,  0.768008411\n1114,  0.033300709,  0.767081022\n1115, 0.0310725588,  0.765701354\n1116, 0.0283925999,  0.764586151\n1117, 0.0275731348,  0.762031317\n1118, 0.0491139479,  0.775242805\n1119, 0.0520158298,  0.773772717\n1120, 0.0370515063,  0.766381085\n1121, 0.0495741144,  0.773071945\n1122, 0.0528902523,  0.777268887\n1123, 0.0409930386,  0.765736103\n1124, 0.0435994901,  0.770699024\n1125, 0.00101588643,  0.720587671\n1126, 0.0209930986,  0.767593741\n1127, 0.000573761761,  0.740343153\n1128, 0.0448021106,  0.765644908\n1129, 0.00483396975,  0.741832078\n1130, -0.0120474566,   0.75433749\n1131, 0.0194573067,  0.747258544\n1132, -0.00410104869,  0.738450646\n1133, -0.0132457735,  0.744188309\n1134, 0.0430423543,  0.767622888\n1135, 0.0506328531,  0.777222931\n1136, 0.0450294316,  0.769438744\n1137, 0.0511956364,  0.775842905\n1138,  0.025337033,   0.76507622\n1139, 0.00631749863,  0.747205734\n1140, 0.00251046242,  0.736355841\n1141, -0.0150451632,  0.752368689\n1142, 0.00813958701,  0.733325243\n1143, 0.000687918626,  0.731586695\n1144, 0.0112774447,  0.745699346\n1145, -0.000105536856,  0.716940165\n1146, -0.000370992464,  0.727909863\n1147, 0.00489223516,  0.728067875\n1148, -0.00177211978,  0.734458148\n1149, -0.00144788856,  0.722070456\n1150, -0.00694849202,  0.721918762\n1151, 0.0897107422,  0.836971283\n1152, -0.0220428146,  0.772640944\n1153,  0.104719214,  0.836697936\n1154, -0.00631246483,  0.727205634\n1155, 0.0813405737,  0.840788305\n1156, 0.0936639979,  0.802732646\n1157, 0.00713816378,  0.699020803\n1158, -0.00502362475,  0.765199661\n1159, -0.0210812259,  0.752308428\n1160, 0.00815714523,  0.894639671\n1161, -0.0412855335,  0.767758667\n1162, -0.047656212,  0.760415316\n1163, -0.0449657589,  0.734534979\n1164, 0.0624427274,  0.838677943\n1165, -0.0532022938,  0.866536975\n1166, -0.0514122359,  0.856290102\n1167, -0.0492739193,  0.851618588\n1168, -0.0308489539,  0.842561424\n1169, -0.0358134918,   0.84263587\n1170, -0.0446101166,  0.844751894\n1171, -0.0475202017,  0.847551525\n1172, -0.0405217521,  0.843326271\n1173, -0.0258658379,  0.843220353\n1174, -0.0528276004,  0.861222386\n1175, 0.0783298686,  0.823494613\n1176, 0.0192632265,  0.692891061\n1177, 0.0538348705,  0.895818293\n1178, 0.0631242245,   0.88146317\n1179, 0.0659405664,  0.877202094\n1180, -0.00459939335,  0.874947846\n1181, 0.0190403704,    0.9018206\n1182, 0.0418073758,  0.899796486\n1183, -0.00224057725,  0.880239189\n1184, 0.0120335035,  0.709562302\n1185, 0.0230247714,  0.660674512\n1186,  0.112328313,  0.847206414\n1187, -0.0212799236,  0.759792447\n1188, -0.034152016,  0.772990465\n1189, -0.0349565037,  0.726141095\n1190, 0.0944146141,  0.818076551\n1191, -0.00583564211,  0.731155992\n1192,  0.112772182,  0.853174746\n1193, -0.0188631453,  0.744115829\n1194, -0.0507540815,  0.747204244\n1195, 0.0723685846,  0.834339619\n1196,  0.113071598,  0.859362006\n1197, -0.0113184052,  0.740231037\n1198, -0.00199165591,  0.712592304\n1199, -0.0163594242,  0.659351289\n1200, -0.0230691284,  0.659855187\n1201, 0.00942597724,   0.65998137\n1202, -0.00378265604,   0.65861845\n1203, -0.0101700919,  0.658405721\n1204, 0.0027099445,   0.65928632\n1205,  0.103243031,  0.821307898\n1206,   0.11322429,  0.865768373\n1207, 0.0836036354,  0.928896308\n1208, -0.0189019758,  0.933392465\n1209,  0.111789666,  0.878794909\n1210, 0.0668041483,  0.938814819\n1211,  0.103344083,  0.903498352\n1212, -0.0447080433,  0.903423309\n1213, -0.00234821136,   0.94190675\n1214, -0.0409784913,  0.908624649\n1215,  0.100017376,  0.909114718\n1216, -0.0323765688,  0.918696761\n1217, 0.0242583826,  0.947867215\n1218, 0.0369582437,  0.949878514\n1219, 0.0422577746,  0.948955119\n1220, 0.0308464263,  0.949049532\n1221, 0.0922603309,  0.919422388\n1222, -0.00833902508,  0.939605236\n1223, 0.0726897344,  0.935575545\n1224, -0.0518943667,  0.878968954\n1225, -0.0528537631,  0.872597158\n1226, -0.0237188116,  0.696021914\n1227, -0.0232660417,  0.681571186\n1228, -0.0228887517,  0.674328446\n1229, -0.0236083698,  0.688702583\n1230, -0.0226567779,  0.667097747\n1231, 0.0303610638,  0.901307464\n1232,  -0.02740358,  0.712411165\n1233, -0.0232550222,  0.704668999\n1234, 0.00286174542,   0.71061343\n1235,  0.111509524,   0.84137553\n1236, 0.0248697791,  0.691655636\n1237, -0.0140849994,  0.855555296\n1238, 0.0649823621,  0.852046847\n1239, -0.00940125063,  0.878107488\n1240, 0.0171067212,  0.686018288\n1241, -0.0297948029,  0.761381984\n1242, -0.0431219451,  0.852638304\n1243, -0.0135583533,  0.733729482\n1244,  0.105784692,  0.842227638\n1245, 0.0702710599,  0.841058969\n1246, 0.0715673268,  0.848130822\n1247, -0.0135732973,  0.868607998\n1248, -0.0448866561,  0.747552991\n1249, 0.0594726726,  0.899582446\n1250, 0.00311005698,  0.897298872\n1251, 0.0706041679,  0.858211994\n1252, 0.0111472737,  0.898684621\n1253, 0.0465874411,  0.899219394\n1254, 0.0928002894,  0.841138303\n1255, 0.0365918986,  0.907089174\n1256, 0.0253132153,  0.906930208\n1257, -0.0450499021,  0.754094958\n1258, 0.0746649876,  0.838533878\n1259,  0.105770841,  0.877299488\n1260, 0.0200815797,  0.907646358\n1261, 0.0421377644,  0.905501068\n1262, -0.0182915684,  0.731448352\n1263, -0.0240415856,  0.748403907\n1264, 0.0705225244,  0.852859199\n1265, -0.00646827603,  0.715206802\n1266, -0.0373017266,  0.764322639\n1267, 0.0109599754,  0.689173639\n1268, -0.0231938493,  0.740838349\n1269, 0.000807275006,  0.885553777\n1270, 0.0386594795,  0.944994986\n1271, 0.0743533969,  0.924765944\n1272, -0.00486410456,    0.6645118\n1273, 0.0682283789,  0.885188758\n1274,  0.107096985,  0.865665197\n1275, -0.0188019201,  0.851468444\n1276, -0.0316290669,  0.908493698\n1277, 0.0941998512,  0.905361712\n1278, -0.000175955924,  0.700145066\n1279, -0.0476337597,  0.897838414\n1280, -0.0505358726,  0.885452092\n1281, -0.0320263691,  0.847970665\n1282, -0.0230566505,  0.850142717\n1283, -0.037786644,  0.734247923\n1284, -0.0402610898,  0.899778545\n1285,  0.099491708,  0.895068228\n1286, -0.0429440141,  0.757585764\n1287, -0.0165578816,  0.681951582\n1288, -0.0473237224,  0.866322458\n1289, -0.0135470275,    0.7225492\n1290, 0.0880514756,  0.843463123\n1291, 0.000859586988,  0.705589414\n1292, 0.0600688122,  0.886390269\n1293, -0.0455818884,  0.877755821\n1294, 0.0747444108,  0.874870598\n1295, -0.0161270741,  0.701378822\n1296, -0.0118333884,  0.933033824\n1297, -0.0224746708,  0.715715587\n1298, 0.00487916917,  0.692403018\n1299, 0.0083007291,  0.667213678\n1300,  0.106459267,  0.853430986\n1301,  0.110100985,  0.885176361\n1302, -0.0176648479,  0.695118129\n1303, -0.0145431161,  0.666970968\n1304, 0.0327841863,  0.943041325\n1305,   0.10599108,  0.897523165\n1306, 0.0507575832,  0.936363578\n1307, 0.0118994247,  0.939029872\n1308, -0.0356091261,   0.73728168\n1309, 0.0756504983,   0.85360688\n1310, 0.00550764566,  0.901521027\n1311, 0.0515409522,  0.901312828\n1312, -0.0345726088,  0.761214495\n1313, -0.00142519572,  0.694426119\n1314, 0.00262048375,  0.687002718\n1315, 0.0734724849,  0.888457417\n1316, -0.0119954543,   0.88648814\n1317, -0.000362792431,  0.893405974\n1318, -0.00068327738,  0.899793863\n1319, 0.0648717731,  0.903238595\n1320, -0.0129867829,  0.694598973\n1321, -0.0292838495,  0.853768349\n1322, 0.0309571419,  0.911693215\n1323, -0.0140352491,  0.714722633\n1324, -0.0249735638,  0.764838159\n1325, -0.0205529388,  0.736173511\n1326,  0.102070332,  0.847957551\n1327, -0.0333964601,  0.852505207\n1328, -0.0417938456,  0.865026832\n1329, 0.0739387572,  0.844598114\n1330, -0.0128852036,  0.706169486\n1331, -0.0408150852,  0.870475233\n1332, -0.0440993421,   0.88402611\n1333, -0.0278582666,  0.744281709\n1334, -0.00995594729,  0.682653129\n1335, -0.0404583476,  0.761055231\n1336, -0.0115112346,  0.873302996\n1337, 0.0624440834,  0.894846916\n1338, 0.0490122177,  0.906649292\n1339, 0.00921461917,  0.911015332\n1340, -0.0143053131,  0.880839705\n1341,  0.075804688,  0.883612216\n1342,  0.100356176,  0.859709084\n1343, -0.0207985956,  0.724201798\n1344, -0.0386707708,  0.754712939\n1345,  0.112935446,  0.872268081\n1346, -0.0325071402,  0.899131238\n1347, 0.0929896832,  0.893726766\n1348, -0.0249252655,  0.855519891\n1349,  0.103465497,  0.883156955\n1350, -0.0403660499,  0.744246602\n1351, 0.0901954919,  0.848655641\n1352, -0.028088497,  0.752700865\n1353, -0.0438158922,  0.741026878\n1354, 0.0783664882,  0.846483827\n1355, -0.0103321271,  0.718542278\n1356, 0.0794838965,  0.886051476\n1357, -0.0345508046,  0.752258837\n1358, 0.0852992609,  0.854156613\n1359, 0.0991066769,  0.852707505\n1360, 0.0271551423,  0.917288423\n1361, 0.0017128964,  0.908289254\n1362,  0.053503301,  0.909931719\n1363, -0.0357760601,  0.862897694\n1364, -0.0162003953,  0.875683129\n1365, -0.00329338131,  0.688674808\n1366, 0.0803369507,  0.853848577\n1367, -0.0294331107,  0.732362926\n1368, 0.0111835711,  0.915953219\n1369, 0.0501553789,  0.914635241\n1370, -0.0109472163,  0.698430181\n1371, -0.0259045251,  0.721560955\n1372, -0.0321218669,  0.756033599\n1373, 0.0682852566,   0.89856863\n1374, 0.0713633373,  0.893713415\n1375, -0.014784921,  0.895802438\n1376, -0.0318319947,   0.85830307\n1377,  0.069854632,  0.906941056\n1378, -0.00406666426,  0.909996271\n1379, -0.0332012698,  0.742546558\n1380, -0.00547465868,  0.898142993\n1381, -0.0070330184,  0.695979774\n1382, -0.0230795797,  0.729186118\n1383, -0.0101452218,   0.68995595\n1384, -0.0237299539,  0.862760186\n1385, -0.0155114168,  0.863047063\n1386, 0.0388335213,  0.912287474\n1387, -0.0194102321,  0.883005798\n1388,  0.100776754,  0.866574407\n1389, 0.0212073326,  0.912843227\n1390, 0.0546347126,  0.918274224\n1391, 0.00887447782,  0.922887087\n1392, -0.0272286255,   0.86643523\n1393, -0.00389394723,   0.68293047\n1394, 0.0177859105,   0.91890651\n1395, 0.0435501598,  0.917592824\n1396, -0.0247337613,  0.884539425\n1397, 0.0833458751,  0.883977592\n1398, -0.0208181422,  0.877618551\n1399, 0.0386115387,  0.917741776\n1400, 0.0222801864,  0.917488754\n1401, 0.0948130935,  0.861061454\n1402, 0.0962794721,  0.865356088\n1403, 0.0809098706,  0.860872149\n1404, -0.0362165272,  0.747777045\n1405, -0.0205470771,  0.866559148\n1406, 0.0830694586,  0.864337146\n1407, -0.022497911,  0.873737633\n1408, -0.0307330936,  0.868349075\n1409, 0.00105142163,  0.921299279\n1410,  0.084171094,  0.876040399\n1411, 0.0612463839,  0.918762863\n1412, 0.0475288108,  0.919340551\n1413, 0.0200183988,  0.923433602\n1414, -0.00893258024,  0.675985157\n1415, -0.0290645566,   0.87276268\n1416,  0.102963507,  0.871033728\n1417,  0.032946609,  0.917012513\n1418, 0.0133889429,  0.920852423\n1419, -0.0340483934,  0.874664903\n1420, 0.0236209109,  0.927049696\n1421, 0.0113415476,  0.927597582\n1422, 0.0192035474,  0.932325661\n1423, 0.0888108835,  0.872360885\n1424, 0.0806631148,  0.871532142\n1425, 0.0267001539,  0.922526956\n1426, 0.0901587978,  0.864521682\n1427, 0.0764889196,  0.862384617\n1428, -0.00713422382,  0.669980347\n1429, 0.0392742008,  0.923921943\n1430, 0.0514659472,  0.922812164\n1431, 0.0353157148,  0.931280732\n1432, 0.0444232225,  0.922482014\n1433, 0.00756158214,  0.928602099\n1434, 0.0609762631,  0.927719831\n1435, -0.0396044217,  0.876283944\n1436, 0.0926942006,  0.876547754\n1437, 0.0856488273,  0.868204296\n1438, -0.000482206844,  0.671703041\n1439, 0.0930095091,  0.868572533\n1440, 0.0715035722,  0.863576651\n1441, 0.0415465273,  0.930551708\n1442, 0.00138740265,  0.929752469\n1443, 0.0124134338,  0.933062553\n1444, 0.0639772415,  0.923546612\n1445, -0.0321141891,  0.880154788\n1446, -0.0360353589,  0.887641311\n1447, -0.0303035099,  0.886157632\n1448, 0.0310642347,  0.932265878\n1449,  0.043025177,  0.938997149\n1450, 0.00541904988,  0.937703431\n1451,  0.100582935,  0.875148416\n1452,  0.035190437,   0.93759805\n1453, -0.000714212831,   0.93535769\n1454, -0.0228469782,  0.890990734\n1455, -0.020703733,  0.897669613\n1456, -0.0115122618,  0.903461039\n1457, -0.0100278668,  0.911461294\n1458, -0.00186023128,  0.915835679\n1459,  0.016190175,  0.660499036\n1460, 0.0506292842,  0.744311988\n1461, 0.0660848096,  0.864715755\n1462, -0.0497704037,  0.756225944\n1463, -0.0509558581,  0.751735747\n1464, -0.0479821563,  0.738486826\n1465, 0.0541541688,  0.943701684\n1466, 0.0106831416,  0.945732296\n1467, -0.0234750919,  0.928771615\n1468, -0.0279564336,  0.923766375\n1469, -0.0165946316,  0.846403301\n1470, -0.0126644662,  0.848984957\n1471, -0.00972363912,  0.852687478\n1472, -0.00741795404,  0.856811762\n1473, -0.00583255664,  0.860982001\n1474, -0.00507605728,  0.864434063\n1475, -0.00892198645,  0.866707981\n1476, 0.0690215752,  0.873910725\n1477, -0.0119199725,  0.859218895\n1478, -0.0153011419,  0.852091074\n1479, 0.0449883118,  0.742588401\n1480, 0.0565974116,  0.904708445\n1481, 0.0146693764,  0.909038961\n1482,  0.073004134,   0.86869961\n1483, -0.0183956996,  0.924147308\n1484, -0.0147531694,  0.929214656\n1485, 0.00738851912,  0.906102121\n1486, 0.0491664521,  0.752010822\n1487, 0.0627412647,  0.753521919\n1488, -0.0332745947,  0.766968727\n1489, -0.0464910157,  0.857653499\n1490, -0.044059597,  0.848174036\n1491, -0.040724311,  0.847875357\n1492, -0.0461751521,  0.743776977\n1493, 0.0308001433,  0.906606853\n1494, -0.0434430614,   0.89625752\n1495, 0.0344572142,  0.791625977\n1496, -0.0336287022,  0.732155383\n1497,  0.086174123,  0.914693236\n1498, 0.0802640915,  0.924486518\n1499, 0.0574024729,  0.934538782\n1500, 0.0558084399,  0.811856568\n1501, 0.0697502941,  0.821291625\n1502, -0.0100058503,  0.926676333\n1503, 0.0762730837,  0.849844933\n1504, 0.00616548676,  0.918283105\n1505, -0.0434779674,  0.860489786\n1506, -0.0376591459,  0.852201164\n1507, -0.00908934418,  0.892484546\n1508, 0.0549584776,  0.803866148\n1509, -0.00509857479,  0.904263794\n1510, 0.0666219369,  0.911510348\n1511, 0.0640135407,  0.915984094\n1512, 0.0497503392,  0.757700562\n1513, 0.0440014862,  0.755095363\n1514, 0.0368427522,  0.744589746\n1515, 0.0173013285,  0.779663324\n1516,  0.046733886,  0.797128618\n1517, 0.0255451929,  0.934471369\n1518, 0.0212809518,  0.715254545\n1519, 0.0742205307,  0.817684054\n1520, -0.00952656474,  0.710827768\n1521, -0.0249850508,  0.734068096\n1522, 0.0832966045,  0.845061243\n1523, 0.0118407775,  0.703619182\n1524, -0.0345776342,  0.856111944\n1525, -0.0370564982,  0.895567656\n1526, -0.0304082185,  0.864339769\n1527, 0.0478378348,  0.755738497\n1528, 0.0644628331,   0.75653547\n1529, -0.00444404501,  0.707622409\n1530, 0.000711962639,  0.683130503\n1531, 0.0800708458,  0.857548118\n1532, 0.0801532045,  0.850191772\n1533, -0.0374849811,  0.740533412\n1534, 0.0993588641,  0.826256037\n1535, -0.0340852253,  0.892170429\n1536, 0.0462422632,  0.793947756\n1537, 0.0770125464,  0.917371333\n1538, 0.0930653438,  0.886728644\n1539, 0.0932052359,  0.898386836\n1540, 0.0842777044,  0.904678881\n1541, 0.0865934715,  0.895219147\n1542, 0.0554377809,  0.927153111\n1543, 0.0280993413,  0.929587066\n1544, 0.0635856912,  0.809744298\n1545, 0.0712300166,   0.81482619\n1546,  0.083302103,  0.834997952\n1547, 0.0735270008,   0.91063112\n1548, 0.0530656986,  0.759631395\n1549, -0.0270456504,  0.738773286\n1550, -0.0255163927,  0.898067057\n1551, 0.0837785676,  0.858263373\n1552, 0.0916079357,  0.855395079\n1553, 0.0711154267,  0.810766459\n1554, 0.0238510296,  0.779894769\n1555, 0.0274636988,   0.74486208\n1556, -0.0179915614,  0.755574882\n1557, -0.0143345622,  0.757981122\n1558, -0.00965595245,  0.725346982\n1559, -0.011467943,   0.72933042\n1560, 0.0377160907,  0.756995857\n1561,  0.100211069,  0.843559563\n1562, 0.0728527904,  0.807862222\n1563, 0.00317999674,  0.770340383\n1564, 0.0616979748,  0.756780684\n1565, 0.00660384027,  0.770050406\n1566, 0.0634210631,  0.757774174\n1567, 0.0654894933,  0.760126054\n1568, 0.0257901661,  0.741467893\n1569, 0.0943682641,  0.829892159\n1570, 0.0949659199,  0.821898699\n1571,  0.081940636,  0.783938587\n1572, 0.0913840979,  0.807251275\n1573, 0.0889928937,  0.800808847\n1574, 0.0866902173,  0.794350982\n1575, -0.00654322281,  0.759856462\n1576, 0.0360512622,  0.758730352\n1577, 0.0531631894,  0.764985263\n1578, 0.0517782345,  0.766426444\n1579, 0.0376164727,  0.778294861\n1580, 0.0626243204,  0.798704088\n1581, 0.0466886573,  0.767700553\n1582, 0.0908601359,  0.824992895\n1583, 0.0913506597,  0.818719625\n1584, -0.012877333,  0.750400603\n1585, -0.00714143179,  0.751964986\n1586, -0.00353621412,  0.752885759\n1587, 0.0251883194,  0.778751552\n1588, 0.0430207364,  0.782682836\n1589,   0.06784679,  0.804277241\n1590, 0.0634058937,  0.800354898\n1591, 0.0040995474,  0.732348084\n1592, 0.00376856746,  0.719972491\n1593, 0.0333199576,  0.760658562\n1594, 0.0684153363,   0.79563868\n1595, -0.00972742401,  0.747945189\n1596, 0.0626472384,  0.765974164\n1597, 0.0398233011,  0.775653064\n1598, 0.0610478558,  0.786106348\n1599, 0.0021702738,  0.765769243\n1600, 0.0605275594,  0.768613696\n1601, 0.0298453271,  0.762325943\n1602, 0.0205320399,  0.738717675\n1603, 0.0185557418,  0.741217494\n1604, 0.0265214145,  0.777426183\n1605,  0.083721377,  0.795215786\n1606, 0.0811412334,  0.798973382\n1607, 0.0812881365,  0.787554026\n1608, 0.0633631796,  0.760015011\n1609, -0.00624762196,  0.747978568\n1610, 0.0246404279,  0.762497187\n1611, 0.0782500654,  0.783482671\n1612, 0.0418799371,  0.772960901\n1613, 0.0702901781,  0.801130831\n1614, 0.0644743443,  0.787205577\n1615, 0.0447687246,  0.777736902\n1616, 0.0559562221,  0.767519057\n1617, 0.0396516733,  0.771153927\n1618, 0.0484176353,  0.783951223\n1619, 0.0670571178,  0.770900726\n1620, 0.0778063163,  0.795806587\n1621, 0.0151527682,  0.750573039\n1622, 0.0694716945,  0.773225844\n1623, 0.0324091502,  0.770528018\n1624, 0.0657332242,  0.784472823\n1625, 0.0160401966,  0.746100307\n1626, 0.0748178214,  0.782723308\n1627, 0.0598201975,  0.773852289\n1628, 0.0480663627,  0.781920791\n1629, 0.0651409402,  0.773015797\n1630, 0.0109005533,  0.750316679\n1631, 0.00828684773,  0.751423597\n1632, 0.0497977883,  0.779430091\n1633, 0.0516601987,  0.778544962\n1634, 0.0632707551,  0.774501503\n1635, 0.0668673068,  0.782985985\n1, 1417, 1322,  129\n2,  159, 1517,  152\n3, 1268, 1333, 1549\n4,  716,  238,  617\n5,  782,  788,  734\n6, 1607,  740,  989\n7,  763,  715,  727\n8,  821,  722,  765\n9, 1514,  778,  640\n10,  873,  820,  773\n11, 1587, 1604,  756\n12,  885,  882, 1635\n13,  915,  843,  855\n14,  908,  856,  809\n15,  990,  271,  927\n16,  959,  908,  869\n17, 1019,  964,  264\n18, 1102, 1630, 1631\n19, 1601, 1116, 1117\n20, 1618, 1031,  967\n21, 1069, 1001, 1033\n22, 1633, 1122, 1099\n23,  263, 1149, 1125\n24, 1491, 1242, 1490\n25, 1218, 1270, 1219\n26, 1354, 1329,  178\n27, 1381,  275, 1370\n28, 1503, 1354, 1532\n29, 1408, 1526, 1392\n30, 1551, 1403, 1531\n31, 1404,  241, 1357\n32, 1509, 1456, 1380\n33, 1386,  129, 1255\n34,  163, 1407, 1398\n35, 1511, 1411,  127\n36, 1432, 1395, 1412\n37, 1444,  144, 1411\n38, 1385, 1477,  173\n39, 1170, 1490, 1171\n40, 1505,  169, 1489\n41, 1502,  139,  155\n42, 1506,  170, 1242\n43, 1527,  861, 1512\n44, 1367,  252, 1496\n45, 1542,  151, 1430\n46, 1548,  796,  851\n47, 1575,  834,  231\n48, 1582,  193, 1081\n49, 1554, 1587,  703\n50, 1608,  658,  721\n51, 1002, 1616,  224\n52, 1635, 1624,  212\n53, 1626,  722,  866\n54,  842, 1627,  900\n55, 1284, 1212, 1279, 1494\n56,  296, 1212, 1214,    3\n57, 1276,  136, 1214,  122\n58,  120,  135, 1276,  121\n59, 1456, 1457,  134,  120\n60, 1456, 1509, 1378, 1457\n61,  119, 1310, 1485, 1361\n62, 1181, 1260, 1481,  118\n63, 1493, 1256,  117, 1231\n64, 1261, 1255,  116, 1182\n65, 1362, 1338, 1311, 1480\n66,  114, 1319, 1377, 1510\n67,  125,  113,  112, 1540\n68, 1277,  111, 1539,  110\n69,  110, 1211, 1215, 1277\n70, 1497, 1221,  147,  146\n71, 1498, 1207,  148, 1271\n72,  308,  148, 1207,   13\n73,   12, 1223,  148,  308\n74,  307, 1210, 1223,   12\n75, 1210,  307,  306,  157\n76,  149, 1223, 1210,  150\n77,  144, 1444, 1434, 1542\n78,  126,  145, 1511, 1510\n79,  113, 1377, 1319, 1373\n80, 1211,  110, 1285, 1305\n81, 1211, 1305,  312,  311\n82,   98, 1301,  313,   16\n83,   16,  312, 1305,   98\n84, 1465,   11,  305,  158\n85, 1499,  157, 1465, 1306\n86, 1412, 1369, 1390, 1430\n87, 1338, 1362, 1369,  128\n88,  304, 1218, 1219,   10\n89, 1395, 1432, 1429, 1399\n90, 1395, 1399, 1386,  128\n91, 1386, 1255, 1261,  128\n92, 1409, 1504, 1391,  140\n93, 1433,  154, 1442,  140\n94,  156, 1296,  155, 1222\n95,  156,    6,  299, 1208\n96, 1483, 1467, 1468,  137\n97,  137,  134,  138, 1483\n98,  138,  134, 1457,  133\n99,  133, 1458, 1409,  139\n100, 1509,  119, 1361, 1378\n101, 1222,  300,    6,  156\n102, 1453, 1213, 1222,  155\n103, 1450, 1307, 1466,  161\n104, 1517,  159,  153, 1422\n105, 1218, 1220, 1304, 1270\n106, 1216,  135,  137, 1468\n107, 1276,  135, 1216,  136\n108,  104,    2,  294, 1280\n109, 1280,  294,    1, 1224\n110, 1526, 1408,  168, 1363\n111, 1348, 1321,  175, 1282\n112, 1471, 1470,   25,  321\n113,  322, 1473, 1472,   26\n114, 1472, 1473,  173, 1477\n115, 1336, 1247, 1475,  165\n116, 1387, 1396,  163, 1398\n117, 1525, 1535,  106, 1346\n118, 1212,  296,  295, 1279\n119, 1332,  105,  104, 1280\n120, 1415,  163, 1445, 1419\n121, 1385, 1405, 1384,  172\n122, 1471, 1472, 1477, 1237\n123,  173, 1475, 1247, 1385\n124, 1224,    1,  293, 1225\n125, 1288, 1328, 1331,   85\n126,  171, 1376, 1321, 1348\n127, 1168, 1173,  175, 1281\n128,  176,   24,  320, 1469\n129, 1489, 1166, 1167, 1242\n130, 1491, 1490, 1170, 1172\n131,  170, 1505, 1489, 1242\n132, 1165, 1288,   85, 1225\n133, 1165,   18,  315, 1174\n134,   85, 1293, 1224, 1225\n135,  318, 1169, 1172,   22\n136, 1321, 1327, 1281,  175\n137, 1168,   23,  319, 1173\n138,  165,   27,  323, 1180\n139, 1180,  323,   28, 1183\n140,  164, 1316, 1340, 1239\n141, 1454, 1455, 1550,  106\n142,  122, 1346,  121, 1276\n143, 1183,   28,  324, 1269\n144, 1317, 1250, 1318, 1380\n145, 1380, 1456, 1375, 1507\n146,  120, 1455, 1375, 1456\n147, 1455, 1454,  107, 1375\n148,  191,  542,  391,  390\n149,  483,  482,  392,   76\n150,  540,  645,  190,  596\n151,  879,  189,  938,  987\n152,  195, 1501,  941,  944\n153,  738,  728,  688,  634\n154,  479,  541,  335,  336\n155,  474,  479,  336,   39\n156,  468,  471,  337,  338\n157,  454,  518,  522,  459\n158,  678,  666,  717,  712\n159,  845,  895, 1579,  853\n160, 1041,  235, 1018, 1065\n161, 1017,  777,  831,  872\n162,  593,  640,  539, 1479\n163,  727,  675,  660,  768\n164,  763,  810,  265,  752\n165, 1147, 1075, 1142, 1591\n166, 1148, 1191, 1146, 1143\n167, 1197,  253, 1243,  254\n168, 1367, 1521, 1549,  252\n169, 1163,  259, 1283,  251\n170,  259,   51,  366, 1189\n171,  260, 1189,  267, 1371\n172,  267,   52,   53, 1232\n173,  274, 1297, 1232, 1233\n174, 1302,  279, 1383, 1320\n175, 1393,  285,  280, 1530\n176,   63, 1459, 1201,   62\n177,  292, 1185,   65,   66\n178, 1185,  372,   64,   65\n179,  288,  292,   66,   67\n180, 1240,  287,  288,  282\n181,  281, 1267, 1298, 1314\n182, 1278,  275, 1381, 1313\n183, 1520, 1323,  274, 1330\n184,  268, 1343, 1371, 1297\n185,  267, 1232, 1297, 1371\n186,  191,  646,  590,  542\n187, 1534,  742, 1569,  840\n188,  894,  943,  992,  193\n189, 1195,  891,  991,  182\n190,   37,  333,  890, 1164\n191,  728,  787,  196,  688\n192,  839,  728,  195,  891\n193,  184, 1254, 1151,  783\n194, 1155, 1085, 1546,  183\n195, 1258,  178, 1329, 1245\n196, 1164,  177,  332,   37\n197, 1531, 1366, 1358, 1551\n198, 1246, 1264, 1238,  177\n199, 1245, 1329, 1246,  177\n200,   36,  332,  177, 1238\n201, 1251, 1440, 1461,   87\n202, 1264, 1251,   87, 1238\n203, 1179,  330,   93, 1476\n204,   34,  330, 1179, 1178\n205, 1178, 1292,  329,   34\n206, 1319, 1249, 1337, 1373\n207,  114, 1480, 1249, 1319\n208, 1177, 1249, 1480, 1311\n209, 1177,  328,   33,  103\n210,  103,   33,  329, 1292\n211,  563,  566,  505,  502\n212,  439,  502,  505,  442\n213,  711,  747,  748,  709\n214, 1045, 1104, 1094, 1051\n215,  877,  936,  884,  247\n216,  830,  730,  247,  884\n217, 1082,  930, 1555,  917\n218, 1108, 1144, 1102, 1139\n219,  734,  834,  829,  782\n220,  644,  694,  592,  218\n221,  217,   44,  359, 1152\n222,  216, 1152,  359,   45\n223,  215, 1188,  360,   46\n224, 1188,  216,   45,  360\n225,  215,   46,  361, 1161\n226, 1286, 1335,  227, 1162\n227, 1162, 1462, 1257, 1286\n228, 1194,  250, 1492, 1248\n229, 1464,   50,  365, 1163\n230, 1353, 1464, 1163,  251\n231, 1158,  695,  632,  592\n232,  217,  481,  358,   44\n233,  481,  217,  644,  218\n234,  464,  533,  526,  457\n235,  464,  457,   43,  356\n236,  434,  503,  555,  486\n237,  650,  649,  697,  698\n238,  602,  650,  698,  651\n239,  436,  439,  345,  346\n240,  344,  345,  439,  442\n241,  227,   47,  362, 1162\n242,   48, 1462, 1162,  362\n243, 1194,   49,  364,  250\n244,   55, 1229, 1226,   54\n245,   54, 1226, 1233,  367\n246, 1414, 1334, 1287,  284\n247,  285, 1438,  286,  280\n248,  291, 1299, 1201, 1459\n249, 1459,   63,  372, 1185\n250, 1302, 1226, 1229,  279\n251,  368, 1227, 1229,   55\n252, 1428, 1303,  289, 1272\n253, 1272, 1202, 1204,  290\n254,  371, 1204, 1202,   61\n255,  369, 1200, 1230,   57\n256,  370, 1200,  369,   58\n257,   59,   60, 1203, 1199\n258,  289, 1303, 1199, 1203\n259, 1438, 1428, 1272,  290\n260, 1228,   56,   57, 1230\n261,   56, 1228, 1227,  368\n262, 1228, 1230, 1303,  284\n263,  282,  288,   67,   68\n264, 1236, 1176, 1240,  282\n265,  283,  836, 1523, 1157\n266, 1198, 1529, 1291, 1234\n267, 1150,  269, 1149,  262\n268, 1382, 1262, 1325, 1521\n269, 1289,  261, 1343,  268\n270,   68,  386, 1236,  282\n271,  691,  832,   82,  643\n272,  942,  270, 1234,  893\n273, 1592,  270,  990, 1111\n274, 1559, 1558, 1154, 1191\n275,   82, 1236,  386,   72\n276,  476,  643,  385,  384\n277,  685,  627,  733,  277\n278,  271,  990,  270,  942\n279,   72,  385,  643,   82\n280,  524,  528,  458,  448\n281,  800,  858,  874,  759\n282, 1098, 1142, 1080,  255\n283,  270, 1592, 1125, 1145\n284,  515,  524,  448,  273\n285,  669,  622,  684,  729\n286,  675,  727,  715,  635\n287,  471,  474,   39,  337\n288,  741,  781, 1590,  969\n289,  765,  690, 1607,  989\n290,  402,  401,  455,  453\n291,  561,  501,  504,  562\n292,  453,  517,  573,  514\n293,  519,  455,  456,  521\n294,   79,  399,  523,  460\n295,  865, 1605,  911,  814\n296,  886,  187,  940, 1553\n297,  594,  186,  634,  688\n298,  591,  681,  687,  732\n299,  638,  591,  732, 1544\n300,  489,  424,  425,  490\n301,  435,  433,   81,  409\n302,  504,  440,  441,  506\n303,  225,  762,  801, 1629\n304,  809,  766,  869,  908\n305,  633,  673,  702,  753\n306,  398,  397,  465,  462\n307,  470,  469,  396,   78\n308,  642,  537,  596,  190\n309, 1583, 1190, 1570,  986\n310,  480,  478,   77,  393\n311,  482,  480,  393,  392\n312,  540,  482,  483, 1205\n313,   98, 1305, 1285,   99\n314, 1539, 1347, 1285,  110\n315,  100, 1538, 1347, 1541\n316,   99, 1538,   97, 1349\n317, 1439,   91, 1436, 1423\n318,  179, 1351, 1552, 1358\n319, 1342, 1359, 1300,   90\n320, 1326, 1561, 1244,   84\n321, 1153, 1244, 1561,  184\n322,   17,  313, 1301, 1209\n323,   98,   99, 1349, 1301\n324, 1259, 1349,   97, 1451\n325, 1451, 1416,   86, 1259\n326, 1274, 1388, 1342,   90\n327, 1192, 1300,   84, 1186\n328,  389,  388, 1186, 1235\n329,   75,  389, 1235,  185\n330,  314,   17, 1209, 1345\n331, 1345, 1206,   19,  314\n332,   74,  387, 1196, 1192\n333,  122, 1214, 1212, 1284\n334,  297,  136, 1216,    4\n335, 1427, 1403, 1406,   92\n336,   89, 1406, 1403, 1551\n337, 1424, 1410,   95, 1294\n338,  101, 1356, 1397,  100\n339,  112, 1541,  111, 1540\n340,  113, 1373, 1374,  112\n341,  102, 1374, 1373, 1337\n342, 1273,   94, 1341, 1315\n343, 1424, 1294, 1482,   92\n344, 1410, 1424, 1437, 1423\n345, 1274,   86, 1416, 1388\n346, 1402, 1388,   91, 1439\n347,  102, 1273, 1315, 1374\n348,   95, 1397, 1356, 1341\n349, 1445,  162, 1435, 1419\n350, 1525,  105, 1446, 1535\n351,  107, 1454, 1396, 1387\n352,  109, 1269,  324,   29\n353, 1316,  164,  108, 1507\n354,   31,  327,  116, 1231\n355,  326,  117, 1181,   30\n356,  117, 1256, 1260, 1181\n357, 1160, 1252, 1310, 1250\n358,   29,  325, 1160,  109\n359, 1252, 1160,  325,   30\n360,   32,  328, 1253, 1182\n361,  124,  123, 1221, 1497\n362,  147, 1207, 1498,  146\n363,  145, 1271,  149, 1444\n364, 1271,  145,  126, 1537\n365, 1434, 1444,  149,  150\n366, 1540,  124, 1497,  125\n367,  125, 1537,  126, 1547\n368, 1444, 1411, 1511,  145\n369, 1493, 1322,  130, 1256\n370, 1360,  130, 1322, 1417\n371, 1394, 1413,  141, 1418\n372, 1443,  154, 1433, 1421\n373, 1443, 1421,  141, 1422\n374, 1256,  130, 1389, 1260\n375, 1394,  131, 1389, 1400\n376, 1418, 1368,  131, 1394\n377,  131, 1368, 1339, 1481\n378,  135,  120,  134,  137\n379,    5, 1467, 1208,  299\n380, 1296, 1484, 1502,  155\n381,  140, 1442,  139, 1409\n382, 1431, 1448, 1543,  143\n383, 1400, 1389,  130, 1360\n384, 1390, 1369, 1362,  127\n385,   15,  310,  123, 1215\n386, 1497,  146, 1537,  125\n387,  309,  147, 1221,   14\n388, 1499, 1542, 1434,  150\n389, 1441, 1429, 1432,  151\n390, 1483, 1484, 1208, 1467\n391,  158, 1219, 1270, 1449\n392,  159, 1217,  160,  153\n393, 1466,  302,    7,  161\n394,  161,    7,  301, 1213\n395, 1213,  301,  300, 1222\n396,  160,    8,  302, 1466\n397,  160, 1466, 1307,  153\n398, 1304, 1220, 1217,  159\n399, 1293, 1332, 1280, 1224\n400, 1364, 1398, 1407,  166\n401, 1387, 1398, 1364, 1340\n402,  167, 1415, 1408, 1392\n403,   85, 1331, 1435, 1293\n404, 1392, 1526,  171, 1384\n405, 1384,  171, 1348,  172\n406, 1167,  316,   21, 1171\n407, 1348, 1282, 1275,  172\n408,  316, 1167, 1166,   20\n409, 1532, 1366, 1309, 1503\n410, 1258, 1195,  182, 1085\n411, 1258, 1085, 1155,  178\n412, 1151, 1254, 1290,  183\n413,  479,  538,  594,  541\n414,  824, 1501,  738,  786\n415, 1553,  985, 1545,  886\n416,  918,  881,  976, 1606\n417,  469,  465,  397,  396\n418,  819, 1032,  977,  935\n419,  595,   83,  537,  642\n420,  646,  742, 1534,  590\n421,  894,  193, 1569,  783\n422, 1038,  992,  943, 1546\n423,  891,  195,  944,  991\n424,  471,  534,  536,  474\n425,  680,  631,  682, 1508\n426, 1003, 1598, 1058,  960\n427,  699,  750,  667,  663\n428, 1611,  722, 1626,  213\n429,  784,  835, 1032,  819\n430,  982,  916,  913, 1022\n431,  469,  531,  530,  465\n432,  472,  470,   78,  395\n433,  454,  459,  340,  341\n434,  522,  525,  461,  459\n435,  677,  725,  631,  197\n436,  769, 1536,  809,  856\n437,  823,  849,  762,  749\n438,  664,  656,  613,  616\n439,  817,  876,  781,  198\n440,  577,  629,  621,  575\n441,  807,  679, 1571,  578\n442,  421,  420,   42,  351\n443,  706,  756,  747,  711\n444,  853,  909,  925,  815\n445, 1122, 1105, 1043, 1099\n446, 1119, 1137, 1118, 1121\n447, 1103, 1090, 1058, 1598\n448,  216, 1188,  215, 1488\n449, 1557, 1556, 1141, 1130\n450, 1595, 1112, 1133, 1084\n451, 1110, 1037, 1132, 1127\n452, 1110,  983, 1609, 1037\n453, 1324,  696, 1152,  216\n454, 1241, 1324,  216, 1488\n455,  588,  218,  592,  632\n456, 1565,  772,  739,  693\n457,  793,  220,  775,  795\n458,  793,  878,  803,  220\n459,  674,  693,  739,  775\n460,  996, 1051, 1029,  950\n461, 1065, 1018, 1013, 1063\n462,  903,  905,  843,  915\n463,  662,  716,  617,  606\n464,  905,  951,  851,  237\n465,  353,  354,  443,  434\n466, 1488, 1266, 1312, 1241\n467, 1312,  228, 1372, 1241\n468, 1263, 1193,  242, 1159\n469, 1084, 1133, 1197, 1037\n470, 1372, 1352,  229, 1241\n471, 1350, 1533, 1379, 1404\n472, 1584,  243, 1130, 1141\n473, 1112, 1584, 1141,  242\n474,  782,  829,  883,  232\n475,  883,  974,  923,  875\n476,  939,  978, 1023,  233\n477,  966, 1023, 1101, 1054\n478,  875,  923,  939,  892\n479, 1593,  929, 1576,  235\n480, 1576, 1560, 1018,  235\n481,  249,  720,  713,  668\n482,  484,  418,  419,  485\n483,  770,  796,  723,  718\n484, 1194, 1248,  239, 1463\n485, 1159,  242, 1141, 1556\n486,  244, 1076, 1139, 1006\n487, 1603,  970, 1004, 1093\n488, 1602,  256,  970, 1603\n489,  689,  593,  731,  831\n490, 1479,  539,  258,  641\n491, 1479,  767,  731,  593\n492,   73,  417,  418,  550\n493,  477,  375,  374,  258\n494,  535,  586,  466,  477\n495,  375,  477,  466,  376\n496, 1283,  259, 1189, 1496\n497,  864,  858,  752,  265\n498,  880,  827,  921,  964\n499,  549,  684,  556,  491\n500, 1355, 1265,  269, 1150\n501,  270, 1145, 1198, 1234\n502,  837,  785,  827,  880\n503,  273,  448,  382,  381\n504,  430,  379,  378,  438\n505, 1226, 1302, 1295, 1233\n506, 1320, 1370, 1295, 1302\n507,  276, 1291, 1278, 1157\n508,  893, 1523,  277, 1184\n509,  836,  685,  277, 1523\n510, 1334, 1383,  279, 1287\n511, 1157, 1278, 1313, 1298\n512, 1365, 1313, 1381, 1383\n513,  281,  280,  286,  287\n514,   82,  832, 1176, 1236\n515, 1314, 1298, 1313, 1365\n516,  291,  292,  288,  287\n517, 1202, 1272,  289, 1203\n518,  287,  286, 1299,  291\n519, 1229, 1227, 1287,  279\n520,   18, 1165, 1225,  293\n521,    2,  104, 1279,  295\n522,  136,  297,    3, 1214\n523, 1468,  298,    4, 1216\n524, 1217,  303,    8,  160\n525, 1218,  304,    9, 1220\n526,  158,  305,   10, 1219\n527,  157,  306,   11, 1465\n528,  147,  309,   13, 1207\n529,  310,   14, 1221,  123\n530, 1215, 1211,  311,   15\n531,  169, 1174, 1166, 1489\n532, 1170,  317,   22, 1172\n533,   23, 1168, 1169,  318\n534, 1469,  320,   25, 1470\n535,   26, 1472, 1471,  321\n536, 1474, 1473,  322,   27\n537, 1252,   30, 1181,  118\n538,  117,  326,   31, 1231\n539,  327,   32, 1182,  116\n540,   93,  330,   35, 1461\n541,  331,   36, 1238,   87\n542,  196,  787,  334,   38\n543,  591, 1500,  639,  681\n544,  463,  468,  338,  339\n545,  461,  463,  339,   40\n546,  459,  461,   40,  340\n547,  452,  454,  341,  342\n548,  449,  452,  342,  343\n549,  445,  449,  343,   41\n550,  442,  445,   41,  344\n551,  432,  436,  346,  347\n552,  429,  432,  347,  348\n553,  426,  429,  348,  349\n554,  493,  429,  426,  551\n555,  488,  426,  349,  350\n556,  420,  488,  350,   42\n557,  352,  353,  434,  486\n558,  511,  443,  451,  520\n559,  451,  443,  354,  355\n560,  457,  451,  355,   43\n561,  473,  464,  356,  357\n562,  357,  358,  481,  473\n563, 1161,  361,   47,  227\n564, 1463,  363,   49, 1194\n565,  250,  364,   50, 1464\n566, 1163,  365,   51,  259\n567, 1200,  370,   59, 1199\n568, 1204,  371,   62, 1201\n569,   73,  550,  668,  373\n570,  258,  374,   69,  641\n571,  377,  447,  438,  378\n572,  379,  430,  422,  380\n573,  381,  380,  422,  273\n574,  448,  458,   71,  382\n575,  458,  467,  383,   71\n576,  467,  476,  384,  383\n577, 1206, 1196,  387,   19\n578,  388,   74, 1192, 1186\n579,  390,   75,  185,  191\n580, 1205,  483,  542,  590\n581,  478,  475,  394,   77\n582,  395,  394,  475,  472\n583,  532,  470,  472,  589\n584,  399,  398,  462,  523\n585,  456,  455,  401,  400\n586,  403,  402,  453,  514\n587,  450,  446,  404,   80\n588,  446,  444,  405,  404\n589,  444,  441,  406,  405\n590,  440,  437,  408,  407\n591,  437,  435,  409,  408\n592,  433,  431,  410,   81\n593,  431,  428,  411,  410\n594,  428,  427,  412,  411\n595,  425,  424,  414,  413\n596,  424,  423,  415,  414\n597,  423,  419,  416,  415\n598,  419,  418,  417,  416\n599,  485,  419,  423, 1487\n600,  487,  208,  597,  544\n601,  351,  352,  486,  421\n602,  546,  421,  486,  555\n603,  422,  430,  491,  556\n604,  413,  412,  427,  425\n605,  547,  489,  490, 1528\n606,  488,  544,  551,  426\n607,  545, 1487,  489,  547\n608,  429,  493,  496,  432\n609,  430,  438,  499,  491\n610,  428,  494,  492,  427\n611,  432,  496,  498,  436\n612,  431,  495,  494,  428\n613,  421,  546,  487,  420\n614,  433,  497,  495,  431\n615,  436,  498,  502,  439\n616,  407,  406,  441,  440\n617,  435,  500,  497,  433\n618,  447,  377,   70,  513\n619,  516,  512,  574, 1495\n620,  437,  501,  500,  435\n621,  500,  559,  557,  497\n622,  443,  511,  503,  434\n623,  440,  504,  501,  437\n624,  445,  508,  512,  449\n625,  444,  507,  506,  441\n626,  513,   70,  376,  466\n627,  499,  438,  447,  509\n628,  449,  512,  516,  452\n629,   80,  403,  514,  450\n630,  446,  510,  507,  444\n631,  576,  511,  520,  582\n632,  454,  452,  516,  518\n633,  514,  573,  570,  450\n634,  521,  456,  460,  214\n635,  460,  456,  400,   79\n636,  455,  519,  517,  453\n637,  838,  627,  278,  585\n638,  525,  581,  584,  529\n639,  461,  525,  529,  463\n640,  527,  462,  465,  530\n641,  580,  523,  462,  527\n642,  457,  526,  520,  451\n643,  569,  513,  466,  586\n644,  476,  467,  585,  278\n645,  468,  197,  534,  471\n646,  589,  472,  475,   83\n647,  470,  532,  531,  469\n648,  588,  473,  481,  218\n649,  479,  474,  536,  538\n650,  643,  476,  278,  691\n651,  539,  535,  477,  258\n652,  537,  478,  480,  596\n653,   83,  475,  478,  537\n654,  482,  540,  596,  480\n655,   76,  391,  542,  483\n656,  572,  484,  485,  543\n657,  605,  484,  572,  657\n658,  490,  425,  427,  492\n659,  420,  487,  544,  488\n660, 1564,  545,  547,  600\n661,  564,  499,  509,  266\n662, 1487,  545,  543,  485\n663,  551,  544,  597,  601\n664,  496,  493,  553,  558\n665, 1566, 1528,  548,  612\n666,  494,  552,  548,  492\n667,  558,  560,  498,  496\n668,  499,  564,  549,  491\n669,  497,  557,  554,  495\n670,  559,  606,  617,  557\n671,  560,  563,  502,  498\n672,  609,  555,  503,  568\n673,  563,  610,  614,  566\n674,  442,  505,  508,  445\n675,  506,  565,  562,  504\n676,  510,  446,  450,  570\n677,  562,  611,  608,  561\n678,  566,  571,  508,  505\n679,  569,  509,  447,  513\n680,  510,  226,  567,  507\n681,  511,  576,  568,  503\n682,  571,  574,  512,  508\n683,  556,  515,  273,  422\n684,  524,  515,  622,  579\n685,  518,  516, 1495,  202\n686,  573,  620,  618,  570\n687,  518,  202,  624,  522\n688,  577,  519,  521,  578\n689,  625,  576,  582,  219\n690,  519,  577,  575,  517\n691,  522,  624,  581,  525\n692,  214,  460,  523,  580\n693,  524,  579,  583,  528\n694,  533,  464,  473,  588\n695,  628,  580,  527,  813\n696,  838,  583, 1518,  627\n697,  467,  458,  528,  585\n698,  677,  197,  529,  584\n699,  530,  889,  813,  527\n700,  587,  531,  532,  825\n701,  889,  530,  531,  587\n702,  532,  589, 1156,  825\n703,  533,  623,  779,  526\n704,  631,  680,  534,  197\n705,  636,  586,  535,  683\n706,  538,  536,  639, 1500\n707,  594,  538, 1500,  186\n708,  539,  640,  683,  535\n709,  645,  540, 1205,  192\n710,  541,  196,   38,  335\n711,  598,  572,  543,  599\n712, 1528, 1566,  600,  547\n713,  208,  487,  546,  604\n714,  552,  494,  495,  554\n715, 1564,  648,  647,  599\n716,  579,  622,  669,  759\n717,  249,  668,  550,  605\n718,  550,  418,  484,  605\n719, 1554,  743,  797, 1587\n720, 1567,  552,  554,  238\n721,  558,  553,  650,  602\n722,  493,  551,  601,  553\n723,  604,  546,  555,  609\n724,  238,  554,  557,  617\n725,  559,  500,  501,  561\n726,  558,  602,  607,  560\n727,  607,  610,  563,  560\n728,  565,  506,  507,  567\n729,  561,  608,  606,  559\n730,  209,  661,  610,  607\n731,  564,  635,  603,  549\n732,  635,  564,  266,  675\n733,  566,  614,  615,  571\n734,  567,  616,  613,  565\n735,  565,  613,  611,  562\n736,  266,  509,  569,  637\n737,  226,  510,  570,  618\n738,  571,  615,  626,  574\n739,  657,  572,  598,  718\n740,  517,  575,  620,  573\n741,  673,  574,  626,  726\n742,  663,  618,  620,  671\n743,  582,  520,  526,  779\n744,  639,  536,  534,  680\n745,  578,  521,  214,  807\n746,  629,  577,  578, 1571\n747,  807,  214,  580,  628\n748,  583,  579,  272, 1518\n749,  622,  515,  556,  684\n750,  584,  581,  630,  736\n751,  576,  625,  619,  568\n752,  585,  528,  583,  838\n753,  637,  569,  586,  636\n754,  587,  825, 1573,  870\n755,  587,  870, 1574,  889\n756,  529,  197,  468,  463\n757,  623,  533,  588,  632\n758,   83,  595, 1156,  589\n759,  198,  687,  681, 1508\n760,  593,  689, 1514,  640\n761,  634,  186,  638,  780\n762,  594,  688,  196,  541\n763,  595,  642,  686, 1572\n764,  653,  208,  604,  655\n765,  649,  601,  597, 1515\n766,  647,  718,  598,  599\n767,  599,  543,  545, 1564\n768,  648, 1564,  600, 1566\n769,  612,  548,  552, 1567\n770,  648, 1566,  612, 1608\n771,  607,  602,  651,  209\n772,  650,  553,  601,  649\n773,  729,  800,  759,  669\n774,  714, 1515,  653,  710\n775,  605,  657,  676,  249\n776,  652,  662,  606,  608\n777,  608,  611,  654,  652\n778,  568,  619,  659,  609\n779,  614,  610,  661,  665\n780,  616,  567,  226,  667\n781,  656,  654,  611,  613\n782,  665,  670,  615,  614\n783,  618,  663,  667,  226\n784,  616,  667,  750,  664\n785,  719,  648, 1608,  721\n786,  609,  659,  655,  604\n787,  575,  621,  671,  620\n788,  684,  549,  603,  729\n789,  724,  623,  632,  695\n790, 1563,  779,  623,  724\n791,  633,  666,  202, 1495\n792,  624,  202,  666,  678\n793,  625,  693,  674,  619\n794,  693,  625,  219, 1565\n795,  702,  673,  726,  751\n796,  865,  740,  774,  207\n797,  679,  807,  628,  774\n798,  629, 1571,  690, 1611\n799,  621,  629, 1611,  213\n800,  581,  624,  678,  630\n801,  677,  584,  736, 1516\n802,  682,  631,  725,  771\n803,  695, 1158,  734,  788\n804,  660,  637,  636,  808\n805,  257,  822,  862,  808\n806,  675,  266,  637,  660\n807,  780,  638, 1544,  187\n808,  591,  638,  186, 1500\n809,  681,  639,  680, 1508\n810,  778, 1514,  730, 1082\n811,  257,  683,  640,  778\n812,   69,  373, 1460,  641\n813,  642,  190,  692,  686\n814,  685,  691,  278,  627\n815,  696,  644,  217, 1152\n816,  230,  694,  644,  696\n817,  192, 1570, 1190,  645\n818, 1190,  692,  190,  645\n819,  185, 1153,  646,  191\n820,  742,  646, 1153,  184\n821,  647,  648,  719,  745\n822, 1567,  658, 1608,  612\n823,  208,  653, 1515,  597\n824,  744,  714,  710,  820\n825,  698,  743, 1554,  651\n826,  655,  707,  710,  653\n827,  652,  701,  700,  662\n828,  746,  744,  789,  854\n829,  654,  704,  701,  652\n830,  657,  718,  723,  676\n831,  619,  674,  708,  659\n832,  636,  683,  257,  808\n833,  715,  763,  752,  672\n834,  209,  703,  706,  661\n835,  661,  706,  711,  665\n836,  737,  699,  663,  671\n837, 1622,  664,  750,  749\n838,  656,  705,  704,  654\n839,  709,  670,  665,  711\n840,  666,  633,  753,  717\n841,  626,  615,  670,  755\n842,  671,  621,  213,  737\n843,  800,  672,  752,  858\n844,  672,  603,  635,  715\n845,  673,  633, 1495,  574\n846,  659,  708,  707,  655\n847,  920, 1486,  861, 1527\n848, 1516,  769,  725,  677\n849,  630,  678,  712,  203\n850,  774,  740, 1607,  679\n851,  741,  687,  198,  781\n852,  682,  817,  198, 1508\n853,  729,  603,  672,  800\n854,  189,  835,  686,  692\n855,  735, 1572,  784,  201\n856,  687,  741, 1107,  732\n857,  777,  247,  689,  831\n858,  866,  722,  821,  962\n859, 1611,  690,  765,  722\n860,  832,  691,  685,  836\n861,  772, 1563,  724, 1599\n862,  816,  826,  739,  772\n863, 1575,  937,  868,  888\n864,  694,  231, 1158,  592\n865,  695,  788, 1599,  724\n866,  743,  698,  697,  746\n867,  762,  225, 1622,  749\n868,  798,  701, 1619,  754\n869,  757,  719,  721,  790\n870,  804, 1604,  847,  902\n871,  703,  209,  651, 1554\n872,  656,  664, 1622,  705\n873,  704,  705, 1619,  701\n874,  225, 1619,  705, 1622\n875,  794,  748,  747,  804\n876,  220,  708,  674,  775\n877,  708,  220,  773,  707\n878,  726,  626,  755,  210\n879,  820,  710,  707,  773\n880,  712,  761,  766,  203\n881,  668,  713, 1460,  373\n882,  720,  249,  676,  760\n883,  714,  697,  649, 1515\n884,  238,  716,  658, 1567\n885,  662,  700,  764,  716\n886,  852,  805,  848,  901\n887,  805,  717,  753,  702\n888,  745,  770,  718,  647\n889,  792,  745,  719,  757\n890,  760,  676,  723,  979\n891,  713,  811,  767, 1460\n892,  790,  721,  658,  716\n893,  737,  776,  758,  699\n894,  979,  723,  796, 1548\n895, 1565,  219, 1563,  772\n896, 1516,  736, 1536,  769\n897,  725,  769,  818,  771\n898,  755,  670,  709,  791\n899,  751,  726,  210,  815\n900,  727,  768,  806,  763\n901,  787,  728,  839,  890\n902,  831,  731,  248,  872\n903, 1077,  940,  187, 1544\n904,  785,  733,  627, 1518\n905,  837,  887,  733,  785\n906,  231,  834,  734, 1158\n907,  735, 1573,  825, 1156\n908,  736,  630,  203, 1536\n909,  213, 1626,  776,  737\n910,  699,  758,  749,  750\n911,  634,  780,  786,  738\n912,  728,  738, 1501,  195\n913,  732, 1107, 1077, 1544\n914,  742,  184,  783, 1569\n915,  714,  744,  746,  697\n916,  854,  797,  743,  746\n917,  770,  745,  792,  237\n918,  756,  706,  703, 1587\n919,  845,  791,  844,  895\n920,  700,  701,  798,  764\n921,  823,  749,  758,  833\n922,  848,  805,  702,  751\n923, 1629,  801, 1634,  802\n924,  764,  798,  860, 1596\n925,  791,  709,  748,  844\n926,  855,  757,  790, 1596\n927,  843,  792,  757,  855\n928,  874,  921,  827,  272\n929,  272,  579,  759,  874\n930,  872,  248,  920, 1513\n931,  852,  766,  761,  805\n932,  712,  717,  805,  761\n933,  885,  910,  849,  823\n934,  810,  763,  806,  871\n935,  790,  716,  764, 1596\n936,  841,  860,  798,  754\n937,  863,  821,  765,  989\n938,  908,  980,  919,  856\n939,  811,  713,  720, 1486\n940,  248,  731,  767,  811\n941,  768,  660,  808,  862\n942,  859,  806,  768,  862\n943,  203,  766,  809, 1536\n944,  796,  770,  237,  851\n945,  876,  817,  933,  961\n946,  771,  867,  817,  682\n947,  232, 1599,  788,  782\n948, 1599,  232,  816,  772\n949,  773,  220,  803,  873\n950,  628,  813,  207,  774\n951,  795,  775,  739,  826\n952,  812,  776, 1626,  866\n953,  776,  812,  833,  758\n954, 1013, 1017,  872, 1513\n955,  689,  247,  730, 1514\n956,  219,  582,  779, 1563\n957,  786,  780,  187,  886\n958,  781,  876, 1580, 1590\n959,  894,  783, 1151,  943\n960,  188, 1012,  879,  987\n961,  272,  827,  785, 1518\n962,  333,  334,  787,  890\n963,  789,  744,  820,  873\n964,  844,  748,  794,  897\n965,  210,  755,  791,  845\n966,  846,  233,  928,  914\n967,  914,  793,  795,  846\n968,  747,  756, 1604,  804\n969,  897,  794,  850,  949\n970,  846,  795,  826,  892\n971,  979, 1548,  904, 1512\n972, 1587,  797,  847, 1604\n973,  802,  841,  754, 1629\n974,  799,  912, 1618,  967\n975,  849,  899,  801,  762\n976,  842,  900,  802, 1634\n977, 1040,  957, 1126, 1052\n978,  902,  946,  996,  950\n979,  871,  806,  859,  256\n980,  257,  778, 1082,  822\n981,  799,  869,  766,  852\n982,  818,  769,  856,  919\n983,  864,  968,  924,  858\n984, 1486,  720,  760,  861\n985,  882,  833,  812,  866\n986,  740,  865,  814,  989\n987,  989,  814,  206,  863\n988,  815,  925,  848,  751\n989,  875,  816,  232,  883\n990,  892,  826,  816,  875\n991,  935,  976,  881,  819\n992,  201,  784,  819,  881\n993,  821,  863,  206,  916\n994, 1082,  730,  830,  930\n995,  859,  862,  917, 1568\n996,  824,  786,  886, 1545\n997,  188, 1519,  985, 1012\n998,  918, 1605, 1574,  870\n999,  877,  828,  929,  972\n1000,  247,  777,  828,  877\n1001,  741,  969,  199, 1107\n1002,  983, 1586, 1585, 1609\n1003,  930,  830,  884,  971\n1004,  920,  248,  811, 1486\n1005,  283, 1176,  832,  836\n1006,  834, 1575,  888,  829\n1007,  835,  784, 1572,  686\n1008,  835,  189,  879, 1032\n1009,  276, 1157, 1523,  893\n1010,  887,  837,  271,  942\n1011,  890,  839,  181, 1164\n1012,  192, 1534,  840, 1570\n1013, 1582,  986, 1570,  840\n1014,  948,  842,  899,  975\n1015,  900, 1627,  993,  898\n1016, 1616,  965,  903,  915\n1017,  237,  792,  843,  905\n1018,  895,  844,  897,  973\n1019, 1026,  945,  909,  954\n1020,  210,  845,  853,  815\n1021,  878,  793,  914,  958\n1022,  797,  854,  907,  847\n1023,  804,  902,  850,  794\n1024,  899,  849,  910,  975\n1025,  973,  897,  949,  222\n1026,  925,  909,  945, 1588\n1027,  954,  909,  853, 1579\n1028,  896,  789,  873,  906\n1029,  896,  907,  854,  789\n1030,  860, 1600,  855, 1596\n1031,  857,  818,  919,  204\n1032,  771,  818,  857,  867\n1033,  867,  857,  933,  817\n1034,  864,  265,  810,  922\n1035,  921,  874,  858,  924\n1036,  860,  841,  898, 1600\n1037,  917,  862,  822, 1082\n1038,  913,  916,  206, 1620\n1039,  922,  810,  871,  932\n1040,  870, 1573,  881,  918\n1041,  866,  962,  931,  882\n1042,  231,  694,  937, 1575\n1043,  243, 1585,  868, 1130\n1044,  901,  912,  799,  852\n1045,  869,  799,  967,  959\n1046,  932,  871,  256, 1602\n1047,  236, 1089, 1065, 1063\n1048,  961,  933,  955, 1000\n1049,  906,  873,  803,  957\n1050,  938,  189, 1583,  986\n1051, 1079, 1562, 1015, 1010\n1052,  271,  837,  880,  927\n1053, 1606,  976, 1030,  963\n1054,  833,  882,  885,  823\n1055,  883,  829,  934,  974\n1056, 1631,  923,  974, 1006\n1057,  212,  910,  885, 1635\n1058, 1175,  987, 1035,  194\n1059,  733,  887, 1184,  277\n1060, 1586,  934,  829,  888\n1061,  207,  813,  889, 1574\n1062,  194,  991,  944, 1175\n1063,  181,  839,  891, 1195\n1064,  233,  846,  892,  939\n1065,  840, 1569,  193, 1582\n1066,  954, 1579,  995, 1597\n1067,  907,  896,  947,  946\n1068,  900,  898,  841,  802\n1069, 1600,  952,  915,  855\n1070, 1627,  842,  948,  994\n1071,  899,  842, 1634,  801\n1072,  912,  901, 1588,  211\n1073,  946,  902,  847,  907\n1074,  950, 1029,  850,  902\n1075,  951,  905,  903,  965\n1076,  953,  851,  951, 1577\n1077,  999,  956, 1527, 1512\n1078,  908,  959, 1028,  980\n1079,  910,  212,  960,  975\n1080,  814,  911, 1620,  206\n1081, 1618,  912,  211, 1628\n1082, 1620,  963, 1022,  913\n1083, 1594,  982, 1613, 1016\n1084,  958,  914,  928, 1007\n1085, 1616,  915,  952,  224\n1086,  205,  916,  982, 1594\n1087,  962,  821,  916,  205\n1088, 1568,  970,  256,  859\n1089, 1605,  918, 1606,  911\n1090,  927,  880,  964, 1019\n1091, 1036,  968,  984, 1080\n1092,  968,  864,  922,  984\n1093,  924,  264,  964,  921\n1094,  901,  848,  925, 1588\n1095, 1022, 1066, 1613,  982\n1096, 1590, 1580,  926, 1016\n1097,  966,  928,  233, 1023\n1098,  878,  958, 1052, 1126\n1099,  777, 1017, 1560,  828\n1100,  936,  877,  972, 1024\n1101,  981, 1555, 1021, 1004\n1102, 1008, 1056,  955,  204\n1103, 1614,  931, 1014, 1044\n1104,  970, 1568,  981, 1004\n1105,  932, 1020,  984,  922\n1106,  933,  857,  204,  955\n1107,  974,  934,  244, 1006\n1108,  976,  935,  200, 1030\n1109, 1027,  936, 1024, 1073\n1110,  936, 1027,  971,  884\n1111,  694,  230, 1557,  937\n1112,  937, 1557, 1130,  868\n1113,  992, 1035, 1081,  193\n1114,  938, 1081, 1035,  987\n1115, 1015, 1589, 1613, 1010\n1116, 1034,  977, 1012,  985\n1117, 1175,  944,  941,  988\n1118, 1038, 1546, 1085,  182\n1119, 1038,  182,  991,  194\n1120,  898,  993,  952, 1600\n1121,  211, 1588,  945,  998\n1122, 1009,  965, 1616, 1002\n1123,  221,  996,  946,  947\n1124,  896,  906,  957,  947\n1125, 1001,  948,  975, 1033\n1126,  949,  850, 1029, 1623\n1127, 1009, 1577,  951,  965\n1128,  999,  236, 1063,  956\n1129,  953,  904, 1548,  851\n1130,  895,  973,  995, 1579\n1131,  998,  945, 1026, 1615\n1132,  980, 1008,  204,  919\n1133, 1513,  920, 1527,  956\n1134,  947,  957, 1040,  221\n1135,  878, 1126,  957,  803\n1136, 1033,  975,  960, 1058\n1137, 1624, 1003,  960,  212\n1138,  961, 1000, 1083,  926\n1139,  876,  961,  926, 1580\n1140, 1083, 1014,  205, 1594\n1141,  963, 1620,  911, 1606\n1142,  199, 1016, 1613, 1589\n1143, 1002, 1061, 1070, 1578\n1144, 1101, 1060, 1073, 1054\n1145,  211,  998, 1005, 1628\n1146, 1031, 1028,  959,  967\n1147,  264,  924,  968, 1036\n1148,  929,  828, 1560, 1576\n1149, 1560, 1017, 1013, 1018\n1150,  246, 1021,  971, 1027\n1151,  972, 1072, 1067, 1024\n1152,  973,  222, 1011,  995\n1153,  939,  923, 1074,  978\n1154, 1131, 1064, 1071, 1068\n1155,  994,  948, 1001, 1043\n1156,  200,  935,  977, 1034\n1157,  923, 1631, 1630, 1074\n1158,  978, 1074, 1621, 1025\n1159,  760,  979, 1512,  861\n1160,  980, 1028, 1047, 1008\n1161, 1021, 1555,  930,  971\n1162,  244,  934, 1586,  983\n1163,  255, 1080,  984, 1020\n1164, 1519,  188,  988,  941\n1165, 1034,  985, 1553, 1562\n1166, 1015,  940, 1077, 1589\n1167,  986, 1582, 1081,  938\n1168,  987, 1175,  988,  188\n1169,  927, 1019, 1111,  990\n1170,  194, 1035,  992, 1038\n1171,  993, 1627,  994, 1042\n1172,  224,  952,  993, 1042\n1173, 1062, 1099, 1069, 1090\n1174, 1049, 1615, 1053, 1087\n1175,  221, 1040, 1104, 1045\n1176, 1094, 1116, 1115, 1095\n1177, 1088, 1046,  997, 1048\n1178, 1049, 1005,  998, 1615\n1179, 1046,  904,  953,  997\n1180,  904, 1046,  999, 1512\n1181, 1000, 1044, 1014, 1083\n1182, 1043, 1001, 1069, 1099\n1183,  224, 1042, 1061, 1002\n1184, 1003, 1614, 1044, 1598\n1185, 1603, 1078,  255, 1020\n1186, 1043, 1105, 1042,  994\n1187, 1618, 1628, 1055, 1031\n1188, 1127, 1129, 1076, 1110\n1189, 1610,  958, 1007,  234\n1190, 1578, 1577, 1009, 1002\n1191, 1066, 1022,  963, 1030\n1192, 1066, 1079, 1010, 1613\n1193, 1623, 1091,  222,  949\n1194, 1120, 1091, 1114, 1097\n1195, 1012,  977, 1032,  879\n1196, 1014,  931,  962,  205\n1197,  200, 1079, 1066, 1030\n1198, 1590, 1016,  199,  969\n1199,  926, 1083, 1594, 1016\n1200, 1113, 1123, 1134, 1109\n1201, 1075, 1019,  264, 1036\n1202, 1111, 1019, 1075, 1147\n1203, 1020,  932, 1602, 1603\n1204, 1021,  246, 1064, 1004\n1205, 1054, 1073,  234, 1007\n1206, 1023,  978, 1025, 1101\n1207, 1131, 1093, 1004, 1064\n1208,  954, 1597, 1057, 1026\n1209, 1057, 1612, 1086, 1053\n1210, 1027, 1073, 1060,  246\n1211, 1028, 1031, 1062, 1047\n1212, 1097, 1092, 1593,  235\n1213, 1059, 1623, 1029, 1095\n1214, 1090, 1069, 1033, 1058\n1215, 1084, 1037, 1609, 1595\n1216, 1087, 1053, 1086,  223\n1217, 1011, 1039, 1597,  995\n1218, 1097, 1114, 1115, 1092\n1219, 1612, 1109, 1124, 1086\n1220, 1041, 1120, 1097,  235\n1221, 1055, 1632, 1633, 1099\n1222, 1056, 1044, 1000,  955\n1223, 1003, 1624,  931, 1614\n1224, 1115, 1116, 1601, 1092\n1225,  996,  221, 1045, 1051\n1226,  236,  999, 1046, 1088\n1227, 1096, 1581, 1048, 1070\n1228, 1048,  997, 1578, 1070\n1229, 1053, 1615, 1026, 1057\n1230, 1039, 1011, 1050, 1617\n1231, 1050, 1011,  222, 1091\n1232, 1007,  928,  966, 1054\n1233, 1005, 1049, 1100, 1632\n1234, 1056, 1008, 1047, 1103\n1235, 1056, 1103, 1598, 1044\n1236, 1091, 1623, 1059, 1114\n1237, 1095, 1029, 1051, 1094\n1238, 1071, 1025, 1621, 1068\n1239, 1106, 1096, 1070, 1061\n1240,  956, 1063, 1013, 1513\n1241, 1089,  236, 1088, 1128\n1242, 1064,  246, 1060, 1071\n1243,  200, 1034, 1562, 1079\n1244, 1104, 1138, 1116, 1094\n1245, 1078, 1603, 1093, 1625\n1246, 1102, 1144,  245, 1630\n1247, 1071, 1060, 1101, 1025\n1248, 1072,  972,  929, 1593\n1249, 1072, 1593, 1092, 1601\n1250, 1110, 1076,  244,  983\n1251, 1108, 1129, 1098,  255\n1252,  199, 1589, 1077, 1107\n1253, 1036, 1080, 1142, 1075\n1254, 1133, 1112,  242, 1193\n1255, 1155,  183, 1290, 1522\n1256, 1039, 1617, 1109, 1612\n1257, 1121, 1118, 1087,  223\n1258, 1128, 1134, 1123, 1089\n1259, 1065, 1089, 1123, 1041\n1260, 1047, 1062, 1090, 1103\n1261, 1120, 1041, 1123, 1113\n1262, 1625, 1093, 1131, 1068\n1263, 1096,  223, 1136, 1581\n1264, 1055, 1099, 1062, 1031\n1265, 1095, 1115, 1114, 1059\n1266, 1108,  255, 1078, 1144\n1267, 1140, 1098, 1129, 1127\n1268, 1049, 1087, 1118, 1100\n1269, 1067,  234, 1073, 1024\n1270, 1104, 1040, 1052, 1138\n1271, 1610, 1138, 1052,  958\n1272, 1061, 1042, 1105, 1119\n1273, 1106, 1121,  223, 1096\n1274, 1113, 1109, 1617, 1050\n1275, 1111,  263, 1125, 1592\n1276, 1136, 1134, 1128, 1581\n1277, 1050, 1091, 1120, 1113\n1278, 1117, 1116, 1138, 1610\n1279, 1067, 1117, 1610,  234\n1280, 1601, 1117, 1067, 1072\n1281, 1106, 1061, 1119, 1121\n1282, 1105, 1122, 1137, 1119\n1283, 1135, 1137, 1122, 1633\n1284, 1581, 1128, 1088, 1048\n1285, 1134, 1136, 1124, 1109\n1286,  223, 1086, 1124, 1136\n1287, 1148, 1140, 1127, 1132\n1288, 1129, 1108, 1139, 1076\n1289,  254, 1132, 1037, 1197\n1290, 1140, 1148, 1143, 1591\n1291,  253, 1197, 1133, 1193\n1292, 1135, 1633, 1632, 1100\n1293, 1137, 1135, 1100, 1118\n1294, 1006, 1139, 1102, 1631\n1295, 1147, 1591, 1143, 1146\n1296, 1147, 1146,  263, 1111\n1297, 1145, 1125, 1149,  269\n1298, 1556, 1187,  229, 1159\n1299, 1142, 1098, 1140, 1591\n1300, 1144, 1078, 1625,  245\n1301, 1198, 1145,  269, 1265\n1302, 1146,  262, 1149,  263\n1303, 1148, 1132,  254, 1191\n1304,  262, 1154, 1558, 1150\n1305, 1150, 1558, 1289, 1355\n1306,  943, 1151,  183, 1546\n1307, 1324, 1241,  229, 1187\n1308, 1244, 1153,  185, 1235\n1309, 1191, 1154,  262, 1146\n1310, 1559, 1243, 1262,  261\n1311,  735, 1156,  595, 1572\n1312, 1159,  229, 1352, 1263\n1313,  215, 1161, 1266, 1488\n1314, 1462,   48,  363, 1463\n1315, 1257,  239, 1248,  240\n1316, 1164,  181, 1245,  177\n1317,  165, 1475, 1474,   27\n1318, 1239, 1336,  165, 1180\n1319, 1174,  315,   20, 1166\n1320, 1288, 1165, 1174,  169\n1321, 1171,   21,  317, 1170\n1322, 1490, 1242, 1167, 1171\n1323, 1173,  319,   24,  176\n1324, 1169, 1168, 1281,  174\n1325,  174, 1491, 1172, 1169\n1326, 1173,  176, 1282,  175\n1327, 1267, 1240, 1176,  283\n1328, 1249, 1177,  103, 1337\n1329, 1177, 1311, 1253,  328\n1330,   94, 1273, 1178, 1179\n1331, 1273,  102, 1292, 1178\n1332, 1179, 1476, 1294,   94\n1333,  164, 1239, 1180, 1183\n1334, 1261,  115, 1338,  128\n1335,  164, 1183, 1269,  108\n1336, 1185,  292,  291, 1459\n1337, 1186,   84, 1244, 1235\n1338, 1187,  230,  696, 1324\n1339, 1189,  366,   52,  267\n1340, 1191,  254, 1243, 1559\n1341, 1300, 1192, 1196,   90\n1342, 1268, 1193, 1263, 1333\n1343, 1195, 1258, 1245,  181\n1344, 1243,  253, 1325, 1262\n1345, 1230, 1200, 1199, 1303\n1346, 1204, 1201, 1299,  290\n1347, 1203,   60,   61, 1202\n1348,  331,   87, 1461,   35\n1349,  192, 1205,  590, 1534\n1350,   86, 1274, 1206, 1345\n1351,   90, 1196, 1206, 1274\n1352, 1349, 1259, 1209, 1301\n1353,   86, 1345, 1209, 1259\n1354,  150, 1210,  157, 1499\n1355, 1213, 1453, 1450,  161\n1356, 1277, 1215,  123,  124\n1357, 1220,    9,  303, 1217\n1358, 1223,  149, 1271,  148\n1359,  284, 1287, 1227, 1228\n1360,  116, 1255, 1493, 1231\n1361, 1232,   53,  367, 1233\n1362,  893, 1234, 1291,  276\n1363,  172, 1237, 1477, 1385\n1364, 1469, 1470, 1478, 1275\n1365, 1364, 1336, 1239, 1340\n1366,  281,  287, 1240, 1267\n1367, 1328, 1505,  170, 1363\n1368, 1309, 1264, 1246, 1503\n1369, 1385, 1247,  166, 1405\n1370, 1350, 1248, 1492, 1353\n1371,  109, 1160, 1250, 1317\n1372,  119, 1318, 1250, 1310\n1373, 1403, 1427,   88, 1531\n1374, 1427, 1440, 1251,   88\n1375, 1252,  118, 1485, 1310\n1376, 1182, 1253,  115, 1261\n1377, 1254,  180, 1351, 1290\n1378, 1255,  129, 1322, 1493\n1379, 1257,  240, 1344, 1286\n1380, 1268, 1325,  253, 1193\n1381,   88, 1251, 1264, 1309\n1382, 1265, 1355, 1323, 1520\n1383, 1278, 1291, 1529,  275\n1384, 1335, 1266, 1161,  227\n1385,  228, 1312, 1266, 1335\n1386, 1298, 1267,  283, 1157\n1387, 1269,  109, 1317,  108\n1388,  146, 1498, 1271, 1537\n1389,  286, 1438,  290, 1299\n1390, 1292,  102, 1337,  103\n1391,  176, 1469, 1275, 1282\n1392,  280,  281, 1314, 1530\n1393,  111, 1277,  124, 1540\n1394, 1494, 1279,  104,  105\n1395, 1308, 1283, 1496,  252\n1396,  105, 1525, 1284, 1494\n1397, 1335, 1286, 1344,  228\n1398,  285, 1393, 1334, 1414\n1399, 1288,  169, 1505, 1328\n1400,  261, 1262, 1382, 1343\n1401, 1355, 1289,  268, 1323\n1402, 1522, 1354,  178, 1155\n1403, 1529, 1198, 1265, 1520\n1404, 1482, 1294, 1476,   93\n1405, 1330, 1295, 1370,  275\n1406,  274, 1233, 1295, 1330\n1407, 1414,  284, 1303, 1428\n1408, 1484, 1296,  156, 1208\n1409,  274, 1323,  268, 1297\n1410, 1300, 1359, 1326,   84\n1411,  152, 1452, 1304,  159\n1412,  158, 1449, 1306, 1465\n1413, 1306,  151, 1542, 1499\n1414, 1307, 1450,  154, 1443\n1415, 1379,  252, 1549, 1333\n1416, 1283, 1308, 1533,  251\n1417, 1361, 1485, 1339,  132\n1418,  115, 1253, 1311, 1338\n1419, 1352, 1372, 1357,  241\n1420, 1315, 1341, 1356,  101\n1421, 1374, 1315,  101,  112\n1422, 1316,  107, 1387, 1340\n1423, 1509, 1380, 1318,  119\n1424, 1547, 1377,  113,  125\n1425, 1381, 1370, 1320, 1383\n1426, 1327, 1321, 1376, 1524\n1427, 1399, 1417,  129, 1386\n1428, 1524,  170, 1506, 1327\n1429, 1281, 1327, 1506,  174\n1430, 1254,  184, 1561,  180\n1431, 1328, 1363,  168, 1331\n1432, 1330,  275, 1529, 1520\n1433, 1435, 1331,  168, 1419\n1434,  241, 1333, 1263, 1352\n1435, 1379, 1333,  241, 1404\n1436,  166, 1247, 1336, 1364\n1437,  118, 1481, 1339, 1485\n1438, 1339, 1368, 1504,  132\n1439, 1341,   94, 1294,   95\n1440, 1237,  172, 1275, 1478\n1441,  260, 1371, 1343, 1382\n1442, 1346,  122, 1284, 1525\n1443, 1285, 1347, 1538,   99\n1444,  251, 1533, 1350, 1353\n1445, 1248, 1350, 1404,  240\n1446, 1359, 1342, 1401, 1552\n1447, 1290, 1351,  179, 1522\n1448, 1464, 1353, 1492,  250\n1449,  179, 1358, 1366, 1532\n1450, 1397,   95, 1410,   96\n1451, 1344, 1357, 1372,  228\n1452,   89, 1552, 1401, 1426\n1453,   89, 1551, 1358, 1552\n1454, 1326, 1359,  180, 1561\n1455, 1417,  143, 1425, 1360\n1456,  142, 1400, 1360, 1425\n1457, 1361,  132, 1458, 1378\n1458, 1383, 1334, 1393, 1365\n1459, 1365, 1393, 1530, 1314\n1460, 1367,  260, 1382, 1521\n1461, 1390,  127, 1411,  144\n1462, 1357, 1344,  240, 1404\n1463,  107, 1316, 1507, 1375\n1464, 1524, 1376, 1363,  170\n1465, 1510, 1377, 1547,  126\n1466,  114,  127, 1362, 1480\n1467, 1457, 1378, 1458,  133\n1468, 1308,  252, 1379, 1533\n1469, 1317, 1380, 1507,  108\n1470,  167, 1392, 1384, 1405\n1471, 1369, 1412, 1395,  128\n1472, 1342, 1388, 1402, 1401\n1473, 1389,  131, 1481, 1260\n1474, 1421, 1391, 1418,  141\n1475, 1394, 1400,  142, 1413\n1476, 1447, 1396, 1454,  106\n1477,  100, 1397,   96, 1538\n1478, 1405,  166, 1407,  167\n1479,  143, 1417, 1399, 1429\n1480, 1402, 1439, 1426, 1401\n1481, 1406,   89, 1426, 1437\n1482, 1407,  163, 1415,  167\n1483, 1408, 1415, 1419,  168\n1484, 1504, 1409, 1458,  132\n1485, 1430, 1390,  144, 1542\n1486, 1413, 1420, 1422,  141\n1487,   91, 1388, 1416, 1451\n1488, 1368, 1418, 1391, 1504\n1489,  142, 1425, 1420, 1413\n1490, 1391, 1421, 1433,  140\n1491,   96, 1410, 1423, 1436\n1492, 1437, 1424,   92, 1406\n1493, 1431,  143, 1429, 1441\n1494, 1440, 1427,   92, 1482\n1495, 1414, 1428, 1438,  285\n1496, 1432, 1412, 1430,  151\n1497, 1425,  143, 1543, 1420\n1498, 1453, 1442,  154, 1450\n1499, 1293, 1435,  162, 1332\n1500,   96, 1436,   97, 1538\n1501, 1423, 1437, 1426, 1439\n1502, 1436,   91, 1451,   97\n1503, 1461, 1440, 1482,   93\n1504, 1449, 1441,  151, 1306\n1505, 1452, 1431, 1441, 1449\n1506,  155,  139, 1442, 1453\n1507, 1443, 1422,  153, 1307\n1508, 1445, 1447, 1446,  162\n1509, 1447, 1445,  163, 1396\n1510, 1448,  152, 1517, 1543\n1511, 1452,  152, 1448, 1431\n1512, 1452, 1449, 1270, 1304\n1513, 1455,  120,  121, 1550\n1514, 1541,  112,  101,  100\n1515, 1541, 1347, 1539,  111\n1516,  641, 1460,  767, 1479\n1517,  239, 1257, 1462, 1463\n1518, 1467,    5,  298, 1468\n1519, 1237, 1478, 1470, 1471\n1520, 1475,  173, 1473, 1474\n1521, 1483,  138, 1502, 1484\n1522, 1487,  423,  424,  489\n1523, 1506, 1242, 1491,  174\n1524, 1496, 1189,  260, 1367\n1525, 1501,  824, 1519,  941\n1526, 1502,  138,  133,  139\n1527, 1503, 1246, 1329, 1354\n1528,  127,  114, 1510, 1511\n1529, 1517, 1422, 1420, 1543\n1530, 1519,  824, 1545,  985\n1531, 1521, 1325, 1268, 1549\n1532, 1354, 1522,  179, 1532\n1533, 1446,  105, 1332,  162\n1534, 1526, 1363, 1376,  171\n1535, 1528,  490,  492,  548\n1536, 1531,   88, 1309, 1366\n1537, 1535, 1446, 1447,  106\n1538, 1346,  106, 1550,  121\n1539, 1552, 1351,  180, 1359\n1540, 1562, 1553,  940, 1015\n1541, 1184,  887,  942,  893\n1542, 1555,  981, 1568,  917\n1543,  230, 1187, 1556, 1557\n1544,  261, 1289, 1558, 1559\n1545, 1571,  679, 1607,  690\n1546, 1573,  735,  201,  881\n1547,  997,  953, 1577, 1578\n1548, 1583,  189,  692, 1190\n1549, 1584, 1112, 1595,  243\n1550,  888,  868, 1585, 1586\n1551, 1609, 1585,  243, 1595\n1552, 1057, 1597, 1039, 1612\n1553, 1605,  865,  207, 1574\n1554,  754, 1619,  225, 1629\n1555, 1068, 1621,  245, 1625\n1556,  882,  931, 1624, 1635\n1557, 1628, 1005, 1632, 1055\n1558, 1630,  245, 1621, 1074\n*Nset, nset=body, generate\n1,  1635,     1\n*Elset, elset=body, generate\n1,  1558,     1\n** Section: Section-element\n*Solid Section, elset=body, material=Material-Al\n0.,    -0.866025,           0.\n*Instance, name=Part-1-2, part=Part-1\n-0.12,     0.816026,           0.\n-0.12,     0.816026,           0.,        -0.12,     0.816026,           1.,         180.\n1, -0.119999997, -0.0499989986,           0.\n2,           0.,           0.,           0.\n*Nset, nset=Set-fix_st, instance=Part-1-1\n58,  59,  60,  61,  62,  63,  64,  65,  66,  67,  68,  69,  70,  71,  72,  73\n370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385\n*Elset, elset=Set-fix_st, instance=Part-1-1\n176,  177,  178,  179,  249,  254,  256,  257,  263,  270,  275,  276,  279,  493,  495,  503\n504,  567,  568,  569,  570,  571,  572,  573,  574,  575,  576,  618,  626,  812, 1347\n*Elset, elset=_Surf-dy_S4, internal, instance=Part-1-2\n176, 254, 256, 495, 569, 571, 572\n*Elset, elset=_Surf-dy_S2, internal, instance=Part-1-2\n178,  249,  493,  504,  567,  568,  570,  618,  626, 1347\n*Elset, elset=_Surf-dy_S1, internal, instance=Part-1-2\n257, 270, 279, 573, 812\n*Elset, elset=_Surf-dy_S3, internal, instance=Part-1-2\n177, 178, 179, 263, 275, 276, 503, 574, 575, 576\n*Surface, type=ELEMENT, name=Surf-dy\n*Elset, elset=_Surf-st_S4, internal, instance=Part-1-1\n*Elset, elset=_Surf-st_S2, internal, instance=Part-1-1\n*Elset, elset=_Surf-st_S1, internal, instance=Part-1-1\n*Elset, elset=_Surf-st_S3, internal, instance=Part-1-1\n*Surface, type=ELEMENT, name=Surf-st\n*Elset, elset=_m_Surf-st_S4, internal, instance=Part-1-1\n56,   72,   73,   74,   88,  113,  135,  242,  334,  355,  379,  387,  408,  520,  521,  533\n*Elset, elset=_m_Surf-st_S2, internal, instance=Part-1-1\n75,   84,   95,  101,  108,  109,  118,  124,  128,  133,  137,  138,  139,  143,  209,  210\n221,  225,  229,  241,  243,  393,  394,  395,  396,  406,  522,  523,  524,  525,  526,  527\n528,  532,  534,  538,  540,  563,  564,  565,  566, 1314, 1319, 1321, 1323, 1357, 1518\n*Elset, elset=_m_Surf-st_S3, internal, instance=Part-1-1\n81,  82, 112, 154, 155, 156, 196, 205, 222, 223, 224, 232, 235, 239, 287, 331\n352, 359, 433, 442, 530, 536, 542, 544, 545, 546, 547, 548, 549, 550, 551, 552\n553, 555, 556, 559, 560, 561, 710\n*Elset, elset=_m_Surf-st_S1, internal, instance=Part-1-1\n83, 190, 200, 204, 240, 322, 330, 354, 358, 360, 385, 465, 529, 539, 541, 557\n562, 601, 962\n*Surface, type=ELEMENT, name=m_Surf-st\n*Elset, elset=_s_Surf-dy_S4, internal, instance=Part-1-2\n*Elset, elset=_s_Surf-dy_S2, internal, instance=Part-1-2\n*Elset, elset=_s_Surf-dy_S3, internal, instance=Part-1-2\n*Elset, elset=_s_Surf-dy_S1, internal, instance=Part-1-2\n*Surface, type=ELEMENT, name=s_Surf-dy\n*Coupling, constraint name=Constraint-1, ref node=RP-1, surface=Surf-dy\n** Constraint: Constraint-2\n*Coupling, constraint name=Constraint-2, ref node=RP-2, surface=Surf-st\n0.,              0.,             0.5,              1.,              1.,              0.\n** Name: BC-fix Type: Symmetry/Antisymmetry/Encastre\n** Interaction: Int-snapfit\n** STEP: Step-connect\n*Step, name=Step-connect, nlgeom=YES, inc=1000\n0.01, 1., 1e-05, 0.05\n** Name: BC-motion Type: Displacement/Rotation\nRP-1, 1, 1, 0.12\nRP-1, 2, 2, 0.049999\nFEA way (Mechanical) 1 Aug 19 12:15\nThe main problem here is that it’s really hard for these hooks to connect due to their geometry. Maybe you could redesign them a bit (if it’s not possible proceed to further suggestions). The way they enter (BCs) should also be different but this requires many tests to get it right. And finally mesh could be refined in the contact area.