(* 
   Using best fit couplings from the Dec. 2002 paper
   e-Print Archive: hep-ph/0212086.  The calculations
   are for the pion state at zero transverse momentum.

Couplings: 0.07642881742 1 0.76809841 -0.1692461589 -0.1857716652 49854.19434 0.02426983029 24828.43378 -1.547566329 -2.239030657 0.4201999424 0.6517956747 0.2359113662 1 -0.1273929024 -0.03506038009 0

   Most of this was run on Lemieux using 16 nodes/64 processors.
   The time limitation for the Lanczos is probably from inter-
   processor communication.  Memory usage for K=100/2 on one
   processor was:

MM local memory usage: els.r/els.c 335544320, els.i 167772160,
MM   els.j 30125408 bytes.
MM reduced basis 33383535 bytes, full basis 26359725 bytes
MM 2->2 and 1->3 interactions use 385632 and 374816 bytes
MM   with pointer static memory use 61504 bytes
MM heavy source interactions use 0 bytes


*)

(*
 Time (seconds) to construct the basis on each processor.
 There is a parallelization problem with generating the basis:  
 this currently takes almost as much wall-clock time as generating the 
 Hamiltonian due to the fact that it is not parallel.
*)

timeBasis={{30/2,0.43},{40/2,1.53},{60/2,9.23},
		    {80/2,31.32},{100/2,80.4}};

(* Time (seconds) to construct the Hamiltonian matrix, global total *)
  
timeHam={{30/2,0.38*64},{40/2,64*1.80},{60/2,14.98*64},{80/2,65.20*64},
	    {100/2,206.89*64}};

(* Time (seconds) to run Lanczos, global total *)

timeLanczos={{20/2,1.23*64},{24/2,1.37*64},{30/2,2.12*64},
		    {40/2,64*6.25},{60/2,54.11*64},
		    {80/2,217.31*64},{100/2,718.59*64}};
lanczosSteps={{20/2,45},{24/2,54},{30/2,54},{40/2,63},{60/2,81},
		    {80/2,90},{100/2,90}};

(* Number of states in the basis *)

basisSize={{20/2,3935},{24/2,8938},{30/2,23878},
		    {40/2,82470},{60/2,455605},
		    {80/2,1503340},{100/2,3765675}};

(* Number of nonzero matrix elements in the Hamiltonian stored
 This is the global total. *)

nonzero={{20/2,144532},{24/2,396653},{30/2,1329222},
		    {40/2,6134427},{60/2,50821675},
		    {80/2,223428308},{100/2,699146268}};

(* We can also look at the single-processor times to
 see how much is from communication *)

timeSingleLanczos={{20/2,0.53},{24/2,2.55},{30/2,8.87},
		    {40/2,48.06},{50/2,165}};

(* The mass of the pion, squared *)

massSquared={{20/2,-0.03069530401},{24/2,-0.01772483498},
	     {30/2,-0.003691527958},
		    {40/2,0.007556590928},{60/2,-0.002489838124},
		    {80/2,-0.03875064569},{100/2,-0.08907015376}};

klist={20/2,24/2,30/2,40/2,60/2,80/2,100/2};

(*
 In the following:
    number[] is the particle number
    quark[] is the quark distribution
    quaarkLink[] is the distribution of the quark and neighboring link field
*)

number[20/2]={0.025591650125, 0.770274400156, 0.164213100888, 0.039920848831};
quark[20/2]={0.549559256369, 0.124962349283, 0.074701189439, 0.056709174880, 0.047708614358, 0.042204343772, 0.038182697397, 0.034641218065, 0.030794511575, 0.000536644861};
quarkLink[20/2]={0.000000000000, 0.067240858785, 0.046963965769, 0.039465230035, 0.036244805466, 0.035417540894, 0.036884730483, 0.042198932977, 0.058856131321, 0.185750415777, 0.000000000000, 0.011819712163, 0.009999569983, 0.009283645730, 0.009188362037, 0.009688535154, 0.011165395524, 0.015421213055, 0.046203780242, 0.000000000000, 0.000000000000, 0.005835504933, 0.005544068260, 0.005638711800, 0.006114670700, 0.007242335388, 0.010245915627, 0.031100508446, 0.000000000000, 0.000000000000, 0.000000000000, 0.004030444107, 0.004202955468, 0.004696505917, 0.005740457771, 0.008383783460, 0.026218673436, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.003412990886, 0.003919379827, 0.004950328520, 0.007487777139, 0.024286922186, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.003420482800, 0.004456168490, 0.007000343339, 0.023676133344, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.004115519279, 0.006720922952, 0.023909900444, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.006594683271, 0.025067060509, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.028602376180, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000};
 
number[24/2]={0.029968338048, 0.757691847315, 0.166077277736, 0.046262536902};
quark[24/2]={0.514414518183, 0.117862153229, 0.070463370292, 0.053466903471, 0.045068536401, 0.040119288762, 0.036765749278, 0.034148479287, 0.031772478605, 0.029273895661, 0.026225593572, 0.000419033258};
quarkLink[24/2]={0.000000000000, 0.059624830177, 0.040916211474, 0.033670273879, 0.030063442667, 0.028164070337, 0.027378977306, 0.027649362558, 0.029394350635, 0.034108699012, 0.048142192782, 0.154883074099, 0.000000000000, 0.010421669424, 0.008581209425, 0.007693584896, 0.007258492205, 0.007121924464, 0.007266428352, 0.007794539112, 0.009069525143, 0.012602035094, 0.038187199630, 0.000000000000, 0.000000000000, 0.004989261954, 0.004547037562, 0.004376148574, 0.004384914702, 0.004571430866, 0.005011238380, 0.005953181273, 0.008412644698, 0.025601989756, 0.000000000000, 0.000000000000, 0.000000000000, 0.003265992427, 0.003198156260, 0.003274725054, 0.003494048359, 0.003923656991, 0.004777634870, 0.006918679723, 0.021506552989, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.002548276430, 0.002658005777, 0.002901962785, 0.003340007465, 0.004173403896, 0.006208438747, 0.019824248655, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.002259794251, 0.002517223525, 0.002969640920, 0.003810331791, 0.005830112230, 0.019169767736, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.002241947363, 0.002704021409, 0.003565527900, 0.005619903074, 0.019071931224, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.002499107175, 0.003380233629, 0.005502111549, 0.019352834287, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.003232183846, 0.005437637366, 0.019995200592, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.005434860911, 0.021223512223, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.024360048089, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000};

number[30/2]={0.036530329347, 0.743191652156, 0.166704912237, 0.053573106260};
quark[30/2]={0.471991480139, 0.109072372848, 0.065153601770, 0.049309881239, 0.041520606778, 0.037039079972, 0.034164504644, 0.032129688884, 0.030526636307, 0.029103878902, 0.027679808025, 0.026097687520, 0.024194512899, 0.021712419294, 0.000303840779};
quarkLink[30/2]={0.000000000000, 0.051848560100, 0.035045088199, 0.028403696977, 0.024919928704, 0.022809341769, 0.021440565530, 0.020561664063, 0.020088527806, 0.020047772495, 0.020596800243, 0.022157329252, 0.025942509380, 0.036938425291, 0.120887429551, 0.000000000000, 0.009069928176, 0.007314017441, 0.006398100139, 0.005856431882, 0.005521496372, 0.005324452568, 0.005240934495, 0.005275875444, 0.005467695478, 0.005919926941, 0.006925385123, 0.009660151829, 0.029581133091, 0.000000000000, 0.000000000000, 0.004254128350, 0.003761609551, 0.003488698230, 0.003335458478, 0.003263775437, 0.003261982879, 0.003336404858, 0.003515032102, 0.003869123079, 0.004596251354, 0.006482048664, 0.019788749117, 0.000000000000, 0.000000000000, 0.000000000000, 0.002682181615, 0.002514932518, 0.002439010241, 0.002423882470, 0.002462509484, 0.002562261470, 0.002748322095, 0.003082196237, 0.003731994767, 0.005361935502, 0.016606165721, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001977855575, 0.001940094854, 0.001957024841, 0.002020729675, 0.002139013720, 0.002336212630, 0.002670346559, 0.003298502039, 0.004838404164, 0.015287891767, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001619655256, 0.001653825469, 0.001734737287, 0.001867725173, 0.002076855486, 0.002419269426, 0.003048765603, 0.004567784401, 0.014748818343, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001439050816, 0.001529402499, 0.001674363251, 0.001895424561, 0.002249987131, 0.002892593753, 0.004426622619, 0.014610646793, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001372932387, 0.001524404557, 0.001756684216, 0.002125380505, 0.002788012666, 0.004358786938, 0.014709360544, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001402853600, 0.001641347728, 0.002024567981, 0.002711545046, 0.004334100773, 0.014965807958, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001542133755, 0.001934317685, 0.002647634811, 0.004333812600, 0.015344336524, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001851501028, 0.002584875671, 0.004344778076, 0.015844122296, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.002523762027, 0.004359027514, 0.016520408861, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.004397690237, 0.017596482990, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.020195575426, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000};

number[40/2]={0.047246142996, 0.725967608567, 0.164980397077, 0.061805851361};
quark[40/2]={0.419233265823, 0.097736953904, 0.058214243681, 0.043781919526, 0.036654451366, 0.032588273457, 0.030058347369, 0.028380845249, 0.027201331189, 0.026314994187, 0.025591938220, 0.024941967853, 0.024296082763, 0.023595559633, 0.022784468640, 0.021803433123, 0.020583290096, 0.019037218089, 0.017007378658, 0.000194037172};
quarkLink[40/2]={0.000000000000, 0.043465018696, 0.028939426481, 0.023179114020, 0.020130536911, 0.018230944537, 0.016911571341, 0.015924128115, 0.015148292465, 0.014523289703, 0.014020327674, 0.013631308216, 0.013365797716, 0.013254561356, 0.013362699778, 0.013824760901, 0.014946275753, 0.017571915289, 0.025150074195, 0.083459185504, 0.000000000000, 0.007648069015, 0.006066243448, 0.005216009582, 0.004688053785, 0.004328818440, 0.004068816956, 0.003873216154, 0.003723777476, 0.003611361711, 0.003532741790, 0.003489625413, 0.003489395608, 0.003548254572, 0.003699687031, 0.004018663233, 0.004708003159, 0.006576125315, 0.020311630211, 0.000000000000, 0.000000000000, 0.003545884548, 0.003068900367, 0.002778464961, 0.002585006878, 0.002449012829, 0.002350799840, 0.002280209033, 0.002232381988, 0.002206007080, 0.002202864755, 0.002228440335, 0.002294106794, 0.002422844863, 0.002665448503, 0.003158064213, 0.004439521461, 0.013589759277, 0.000000000000, 0.000000000000, 0.000000000000, 0.002183253166, 0.001988837179, 0.001865334871, 0.001782803469, 0.001727319988, 0.001691941487, 0.001673608843, 0.001671925994, 0.001688919112, 0.001729639751, 0.001804065840, 0.001931977508, 0.002156682042, 0.002593620584, 0.003698010257, 0.011423458997, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001552739040, 0.001465056583, 0.001411810609, 0.001380376699, 0.001365315458, 0.001364482368, 0.001377994614, 0.001408093531, 0.001459759737, 0.001542517217, 0.001674994767, 0.001897710178, 0.002318263866, 0.003359853992, 0.010537539245, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001209154949, 0.001172493862, 0.001156278815, 0.001154504532, 0.001165467889, 0.001189605562, 0.001229347722, 0.001289747675, 0.001380265304, 0.001519234448, 0.001746343972, 0.002166692941, 0.003192730015, 0.010183677344, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001004858347, 0.000997610323, 0.001005171127, 0.001024760904, 0.001056953912, 0.001104349840, 0.001172150529, 0.001269955102, 0.001416245421, 0.001650888682, 0.002079206170, 0.003113673137, 0.010100262857, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000879008249, 0.000892076158, 0.000918267428, 0.000956927334, 0.001010726917, 0.001085056208, 0.001189776807, 0.001343782650, 0.001587711523, 0.002028691762, 0.003085439382, 0.010172278409, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000803145705, 0.000833124367, 0.000877089630, 0.000936441891, 0.001016688637, 0.001128026249, 0.001289934506, 0.001544206896, 0.002000793990, 0.003088578464, 0.010341113328, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000763257055, 0.000810110860, 0.000874255975, 0.000959936631, 0.001077625244, 0.001247497889, 0.001512774093, 0.001986930713, 0.003111683929, 0.010573617726, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000752993406, 0.000819564986, 0.000910079678, 0.001033816747, 0.001211604662, 0.001488276343, 0.001981359360, 0.003147344630, 0.010849594336, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000771151723, 0.000863916398, 0.000993102792, 0.001178583487, 0.001466806080, 0.001979752898, 0.003190223962, 0.011156242988, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000821407081, 0.000952955487, 0.001145399410, 0.001445008077, 0.001978400814, 0.003236032788, 0.011485776685, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000914242093, 0.001109680359, 0.001419719685, 0.001973688116, 0.003280912607, 0.011835055753, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001073111944, 0.001388202547, 0.001961774411, 0.003321055327, 0.012207595985, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001353047886, 0.001939023437, 0.003352703443, 0.012620714895, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.001909941301, 0.003374095606, 0.013128732751, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.003406011109, 0.013914681023, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.015868917653, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000, 0.000000000000};

number[60/2]={0.067075230711, 0.704969878572, 0.158099588060, 0.069855302657};
quark[60/2]={0.352556484119, 0.082600517645, 0.048808964210, 0.036209239519, 0.029868967945, 0.026201871503, 0.023910781638, 0.022411734328, 0.021402603177, 0.020711039038, 0.020231200757, 0.019894116449, 0.019652493705, 0.019472358788, 0.019328172492, 0.019199822598, 0.019070675435, 0.018926242924, 0.018753209491, 0.018538660669, 0.018269405144, 0.017931304073, 0.017508524533, 0.016982621030, 0.016331324325, 0.015526903527, 0.014534072484, 0.013307565552, 0.011762438858, 0.000096684044};
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