l1, l2, and integral data for the 8 phat 2 extra dirichelt
[0, 1, 0, 0, 2, 1, 0, 1, 2]:L1=2.1524790752744550524 	L2=12.617388179338261999  	integral=1.0733439811072692071 
[0, 2, 1, 2, 0, 2, 2, 0, 1]:L1=1.9085150482118051012 	L2=11.470022254248760677  	integral=.96874921370589991988
[2, 2, 1, 0, 1, 2, 2, 1, 2]:L1=1.9866091773856894246 	L2=13.115757938206592812  	integral=1.1205702533278721883 
[2, 1, 2, 0, 2, 2, 0, 0, 1]:L1=2.0486347061182539320 	L2=12.332710011700671979  	integral=1.0527608681297292680 
[1, 1, 1, 2, 2, 1, 2, 1, 2]:L1=1.4575493720435120759 	L2=7.6630515442248881873 	integral=.79625048880901401994
[0, 2, 1, 1, 1, 0, 2, 1, 2]:L1=2.3045242756066236647 	L2=13.458577180958694921  	integral=.96621493735247139377
[2, 1, 2, 2, 2, 1, 0, 2]:L1=2.1809314606077108674 	L2=12.538178409959323430  	integral=1.0853685823626750416 
[0, 2, 2, 2, 2, 0, 1, 1, 2]:L1=2.1951924177460828026 	L2=16.526048246475504285  	integral=.96621493735247139362
[1, 2, 2, 1, 1, 1, 1, 1, 2]:L1=1.9382093927114446517 	L2=11.005364395153223362  	integral=1.0096250908103089473 
[1, 0, 2, 1, 1, 1, 0, 1, 2]:L1=1.9916053261875880414 	L2=12.159309449609739679  	integral=1.0037802704453398107 
[2, 2, 2, 2, 0, 0, 0, 0, 2]:L1=.91674629300112484517	L2=3.5173358578832679302 	integral=.53469384180351865737
[2, 1, 0, 0, 2, 2, 2, 0, 1]:L1=2.2479335591398863081 	L2=13.437089350134759558  	integral=.97368491594746816286
[2, 0, 1, 2, 2, 1, 2, 0, 1]:L1=2.0586318875523299312 	L2=12.453415458724604131  	integral=.9968050841200665648 
[2, 2, 1, 0, 0, 1]:L1=1.8373409283993544264 	L2=12.524969849563459826  	integral=1.1277037079444604330 
[2, 1, 2, 2, 2, 0, 0, 0, 1]:L1=2.1792113441051113302 	L2=12.587902556555193877  	integral=1.0825913374032664394 
[2, 2, 0, 1, 2, 1, 2, 1, 2]:L1=1.9310380596458094573 	L2=12.937103404956161930  	integral=1.1106089822183935695 
[0, 2, 0, 0, 2, 2, 0, 0, 2]:L1=2.0717634808006600322 	L2=12.081438315998493292  	integral=1.0699455424174949609 
[2, 2, 1, 2, 1, 0, 0, 0, 1]:L1=2.1416893064876112808 	L2=13.244329625546735990  	integral=1.0507023019478478363 
[0, 0, 1, 0, 0, 1]:L1=2.0635617002812094325 	L2=12.436921693075719639  	integral=1.0133312278466216247 
[2, 0, 0, 1, 2, 1, 1, 0, 2]:L1=1.9794901837474646364 	L2=12.910534743393309320  	integral=.96874921370589991996
[1, 1, 1, 0, 2, 1, 2, 0, 2]:L1=1.2515437447089741717 	L2=6.6028816851661591551 	integral=.74257926837636259823
[2, 1, 0, 0, 1, 1, 0, 1]:L1=2.1793965518784354811 	L2=12.813627105495864119  	integral=.96555519731243752827
[1, 1, 1, 2, 0, 1, 2]:L1=1.2811634717580871843 	L2=6.7677249822873457181 	integral=.75150640746507328725
[0, 2, 0, 2, 0, 2, 1, 0, 1]:L1=1.8818831668925611640 	L2=11.140693545699738711  	integral=1.0472108999444330349 
[1, 0, 2, 2, 1, 1, 0, 0, 1]:L1=2.2637455221933873107 	L2=13.514324554966591739  	integral=.97190612951068701461
[0, 2, 1, 1, 2, 0, 1]:L1=2.2587170577689282470 	L2=13.305505946451695383  	integral=.96600104608436926091
[1, 2, 1, 0, 1, 1, 1, 0, 1]:L1=2.0749971732294672628 	L2=12.376105200804667434  	integral=1.0579779670807926361 
[1, 1, 2, 2, 1, 2, 2, 0, 1]:L1=2.2613898742228582160 	L2=13.687573297169810560  	integral=1.0994831958187617181 
[0, 1, 1, 1, 0, 1, 2]:L1=2.2047777962001120927 	L2=16.235874489596891080  	integral=.9691051199693940159 
[2, 0, 2, 2, 1, 1, 0, 1, 2]:L1=2.1343681282007390208 	L2=12.552584201310505825  	integral=1.0690194382017973170 
[0, 0, 2, 0, 2, 1, 1, 0, 2]:L1=2.1446462429719560559 	L2=13.246477237310389328  	integral=1.0502341109893322060 
[1, 1, 0, 0, 2, 1, 0, 0, 1]:L1=2.2270489965838957198 	L2=13.722472991840680401  	integral=1.1126068973789867512 
[1, 2, 0, 2, 0, 2, 2, 0, 2]:L1=1.9216788213547891784 	L2=11.406491053452251689  	integral=.96555519731243752807
[2, 0, 0, 0, 2]:L1=2.1202225083802987795 	L2=15.014095663875773419  	integral=.97644929444602361866
[1, 2, 2, 2, 0, 2, 2, 0, 2]:L1=2.1942431058967716181 	L2=16.241856727264882920  	integral=.96555519731243752848
[2, 1, 1, 2, 2, 0, 2, 0, 2]:L1=1.9670900946231509859 	L2=12.050797316424105275  	integral=.99758074267601105551
[2, 1, 2, 1, 1, 1, 2, 0, 1]:L1=1.8972736915548435198 	L2=10.500409124234067966  	integral=1.0260884599630356262 
[0, 2, 1, 1, 2, 1, 2]:L1=2.2240981478901448186 	L2=13.057744019437301141  	integral=.96555519731243752797
[2, 0, 0, 2, 0, 1, 0, 0, 1]:L1=2.0502820553628211252 	L2=14.105604084517576818  	integral=.98227965284083542837
[2, 2, 2, 1, 0, 0, 1, 2]:L1=1.2475902175457757920 	L2=6.7366373614572508015 	integral=.75288147983040024354
[0, 0, 0, 0, 1, 0, 2]:L1=.74241268130108009534	L2=2.3800338726035859369 	integral=.43833248875336059498
[0, 2, 2, 1, 0, 1, 0, 0, 2]:L1=1.9791503521652758873 	L2=13.161782608287358247  	integral=.96994134585331785762
[1, 0, 2, 2, 1, 1, 2, 0, 2]:L1=2.2678172253247937840 	L2=13.518750724011492036  	integral=.9716818083831388125 
[1, 2, 1, 2, 2, 1, 0, 2]:L1=1.8813326699006024154 	L2=10.626163073184599081  	integral=1.0338353759906174740 
[0, 2, 1, 0, 1, 2, 1, 0, 1]:L1=2.1767698391194448836 	L2=13.111106783002380538  	integral=.98234272210031299726
[1, 2, 0, 0, 0, 0, 0, 2]:L1=2.2974237157755285506 	L2=13.247329170535005916  	integral=.96555519731243752812
[2, 0, 2, 2, 1, 2, 2, 0, 1]:L1=2.1655561648765256739 	L2=12.606078254298162142  	integral=1.0771223342029705088 
[1, 1, 0, 0, 2, 0, 0, 2]:L1=2.2180615577353236100 	L2=13.540037708507992413  	integral=1.1139777927659020429 
[0, 2, 1, 0, 0, 1, 1, 0, 2]:L1=2.0822656020418515965 	L2=12.570932015409444785  	integral=.9941312862740908563 
[1, 0, 2, 2, 2, 2, 1, 0, 1]:L1=2.3016639869175189130 	L2=13.319724138240568835  	integral=.96576930465840704293
average:L1=1.9898053431885934089 	L2=12.083577348051030126  	integral=.97839030669757381996