-1 + L*M^16 - L*M^18 + 2*L*M^20 - 2*L*M^22 + 3*L*M^24 - 3*L*M^26 + 4*L*M^28 - 
 4*L*M^30 + 5*L*M^32 - 5*L*M^34 + 6*L*M^36 - 6*L*M^38 + 7*L*M^40 - 7*L*M^42 + 
 8*L*M^44 - 8*L*M^46 + 9*L*M^48 - 9*L*M^50 + 10*L*M^52 - 10*L*M^54 + 
 11*L*M^56 - 11*L*M^58 + 12*L*M^60 - 12*L*M^62 + 13*L*M^64 - 38*L*M^66 + 
 13*L*M^68 + 26*L^2*M^84 - 36*L^2*M^86 + 45*L^2*M^88 - 38*L^2*M^90 + 
 33*L^2*M^92 - 12*L^2*M^94 - 4*L^2*M^96 + 36*L^2*M^98 - 60*L^2*M^100 + 
 100*L^2*M^102 - 129*L^2*M^104 + 174*L^2*M^106 - 205*L^2*M^108 + 
 252*L^2*M^110 - 282*L^2*M^112 + 328*L^2*M^114 - 354*L^2*M^116 + 
 396*L^2*M^118 - 415*L^2*M^120 + 450*L^2*M^122 - 459*L^2*M^124 + 
 484*L^2*M^126 - 480*L^2*M^128 + 492*L^2*M^130 - 772*L^2*M^132 + 
 457*L^2*M^134 - 78*L^2*M^136 + 12*L^3*M^150 + 237*L^3*M^152 - 
 432*L^3*M^154 + 346*L^3*M^156 - 54*L^3*M^158 - 288*L^3*M^160 + 
 665*L^3*M^162 - 933*L^3*M^164 + 1137*L^3*M^166 - 1135*L^3*M^168 + 
 1032*L^3*M^170 - 678*L^3*M^172 + 238*L^3*M^174 + 456*L^3*M^176 - 
 1179*L^3*M^178 + 2127*L^3*M^180 - 3015*L^3*M^182 + 4077*L^3*M^184 - 
 4968*L^3*M^186 + 5970*L^3*M^188 - 6678*L^3*M^190 + 7432*L^3*M^192 - 
 7767*L^3*M^194 + 8091*L^3*M^196 - 10179*L^3*M^198 + 7680*L^3*M^200 - 
 2520*L^3*M^202 + 286*L^3*M^204 - 13*L^4*M^216 + 260*L^4*M^218 + 
 531*L^4*M^220 - 1887*L^4*M^222 + 663*L^4*M^224 + 2385*L^4*M^226 - 
 4887*L^4*M^228 + 5604*L^4*M^230 - 4161*L^4*M^232 + 916*L^4*M^234 + 
 3601*L^4*M^236 - 8285*L^4*M^238 + 12506*L^4*M^240 - 14977*L^4*M^242 + 
 15523*L^4*M^244 - 12990*L^4*M^246 + 7998*L^4*M^248 + 374*L^4*M^250 - 
 10551*L^4*M^252 + 23301*L^4*M^254 - 36079*L^4*M^256 + 49725*L^4*M^258 - 
 60819*L^4*M^260 + 70608*L^4*M^262 - 87617*L^4*M^264 + 78198*L^4*M^266 - 
 37248*L^4*M^268 + 8426*L^4*M^270 - 715*L^4*M^272 - 13*L^5*M^282 - 
 221*L^5*M^284 + 1983*L^5*M^286 - 4310*L^5*M^288 + 1006*L^5*M^290 - 
 2196*L^5*M^292 + 9666*L^5*M^294 - 9882*L^5*M^296 - 4406*L^5*M^298 + 
 25906*L^5*M^300 - 44886*L^5*M^302 + 51189*L^5*M^304 - 40256*L^5*M^306 + 
 11635*L^5*M^308 + 29590*L^5*M^310 - 74591*L^5*M^312 + 113456*L^5*M^314 - 
 134217*L^5*M^316 + 130074*L^5*M^318 - 92608*L^5*M^320 + 25024*L^5*M^322 + 
 73614*L^5*M^324 - 186686*L^5*M^326 + 308160*L^5*M^328 - 462156*L^5*M^330 + 
 505371*L^5*M^332 - 321882*L^5*M^334 + 110627*L^5*M^336 - 19030*L^5*M^338 + 
 1287*L^5*M^340 - 12*L^6*M^348 - 383*L^6*M^350 - 906*L^6*M^352 + 
 4405*L^6*M^354 - 21731*L^6*M^356 + 24201*L^6*M^358 + 6455*L^6*M^360 - 
 41069*L^6*M^362 + 74178*L^6*M^364 - 107507*L^6*M^366 + 97778*L^6*M^368 - 
 17097*L^6*M^370 - 125335*L^6*M^372 + 272482*L^6*M^374 - 361503*L^6*M^376 + 
 333309*L^6*M^378 - 171364*L^6*M^380 - 104286*L^6*M^382 + 426796*L^6*M^384 - 
 703061*L^6*M^386 + 835479*L^6*M^388 - 734937*L^6*M^390 + 371237*L^6*M^392 + 
 253539*L^6*M^394 - 1201772*L^6*M^396 + 1973893*L^6*M^398 - 
 1719918*L^6*M^400 + 829556*L^6*M^402 - 221276*L^6*M^404 + 30591*L^6*M^406 - 
 1716*L^6*M^408 - 12*L^7*M^414 - 258*L^7*M^416 - 3456*L^7*M^418 + 
 4180*L^7*M^420 - 15215*L^7*M^422 + 20496*L^7*M^424 - 1490*L^7*M^426 + 
 70440*L^7*M^428 - 172829*L^7*M^430 + 114440*L^7*M^432 + 140874*L^7*M^434 - 
 491974*L^7*M^436 + 748057*L^7*M^438 - 689229*L^7*M^440 + 185053*L^7*M^442 + 
 649961*L^7*M^444 - 1505102*L^7*M^446 + 1946134*L^7*M^448 - 
 1654462*L^7*M^450 + 532728*L^7*M^452 + 1150017*L^7*M^454 - 
 2830913*L^7*M^456 + 3767989*L^7*M^458 - 3265741*L^7*M^460 + 
 524610*L^7*M^462 + 3602991*L^7*M^464 - 5440369*L^7*M^466 + 
 3771151*L^7*M^468 - 1442549*L^7*M^470 + 312114*L^7*M^472 - 35904*L^7*M^474 + 
 1716*L^7*M^476 - 11*L^8*M^480 - 152*L^8*M^482 - 1908*L^8*M^484 - 
 7438*L^8*M^486 + 35832*L^8*M^488 - 61197*L^8*M^490 + 182854*L^8*M^492 - 
 155433*L^8*M^494 - 145797*L^8*M^496 + 500320*L^8*M^498 - 862294*L^8*M^500 + 
 1052014*L^8*M^502 - 494632*L^8*M^504 - 998295*L^8*M^506 + 
 2827442*L^8*M^508 - 3798163*L^8*M^510 + 2818263*L^8*M^512 + 
 292464*L^8*M^514 - 4439796*L^8*M^516 + 7495316*L^8*M^518 - 
 7363512*L^8*M^520 + 3070527*L^8*M^522 + 4188888*L^8*M^524 - 
 11069087*L^8*M^526 + 11877956*L^8*M^528 - 3032370*L^8*M^530 - 
 7762792*L^8*M^532 + 9981314*L^8*M^534 - 5608749*L^8*M^536 + 
 1755558*L^8*M^538 - 316800*L^8*M^540 + 31020*L^8*M^542 - 1287*L^8*M^544 - 
 11*L^9*M^546 - 55*L^9*M^548 + 450*L^9*M^550 - 3191*L^9*M^552 + 
 39919*L^9*M^554 + 9972*L^9*M^556 + 85468*L^9*M^558 - 265004*L^9*M^560 + 
 285891*L^9*M^562 - 658221*L^9*M^564 + 898596*L^9*M^566 + 356718*L^9*M^568 - 
 2918008*L^9*M^570 + 5126362*L^9*M^572 - 4599390*L^9*M^574 - 
 96329*L^9*M^576 + 7669972*L^9*M^578 - 13547265*L^9*M^580 + 
 12476498*L^9*M^582 - 2376189*L^9*M^584 - 12776595*L^9*M^586 + 
 23719597*L^9*M^588 - 20957807*L^9*M^590 + 1739127*L^9*M^592 + 
 22205259*L^9*M^594 - 26760512*L^9*M^596 + 6700524*L^9*M^598 + 
 11690555*L^9*M^600 - 12536716*L^9*M^602 + 5804937*L^9*M^604 - 
 1515336*L^9*M^606 + 231891*L^9*M^608 - 19602*L^9*M^610 + 715*L^9*M^612 - 
 10*L^10*M^612 + 23*L^10*M^614 + 1818*L^10*M^616 + 10992*L^10*M^618 + 
 16098*L^10*M^620 + 122796*L^10*M^622 - 325049*L^10*M^624 + 
 254942*L^10*M^626 - 717081*L^10*M^628 + 393785*L^10*M^630 + 
 1957844*L^10*M^632 - 4443934*L^10*M^634 + 4986986*L^10*M^636 - 
 1577592*L^10*M^638 - 6931313*L^10*M^640 + 16612054*L^10*M^642 - 
 18320127*L^10*M^644 + 5118025*L^10*M^646 + 19452540*L^10*M^648 - 
 39005376*L^10*M^650 + 34422334*L^10*M^652 - 459184*L^10*M^654 - 
 42662817*L^10*M^656 + 57016756*L^10*M^658 - 19828639*L^10*M^660 - 
 33390368*L^10*M^662 + 41153295*L^10*M^664 - 9009658*L^10*M^666 - 
 12360313*L^10*M^668 + 10957885*L^10*M^670 - 4209564*L^10*M^672 + 
 923364*L^10*M^674 - 120604*L^10*M^676 + 8855*L^10*M^678 - 10*L^11*M^678 - 
 286*L^10*M^680 + 95*L^11*M^680 + 2427*L^11*M^682 + 15303*L^11*M^684 + 
 13849*L^11*M^686 + 3075*L^11*M^688 - 358872*L^11*M^690 - 11734*L^11*M^692 - 
 658256*L^11*M^694 + 2602233*L^11*M^696 - 2529090*L^11*M^698 + 
 738350*L^11*M^700 + 3284584*L^11*M^702 - 11839561*L^11*M^704 + 
 18361874*L^11*M^706 - 10672168*L^11*M^708 - 15494266*L^11*M^710 + 
 45361317*L^11*M^712 - 49584162*L^11*M^714 + 9135456*L^11*M^716 + 
 56741412*L^11*M^718 - 91425919*L^11*M^720 + 47762158*L^11*M^722 + 
 50204354*L^11*M^724 - 100000028*L^11*M^726 + 40639680*L^11*M^728 + 
 40175378*L^11*M^730 - 44624560*L^11*M^732 + 7741608*L^11*M^734 + 
 9368364*L^11*M^736 - 6709817*L^11*M^738 + 2121033*L^11*M^740 - 
 388221*L^11*M^742 + 42988*L^11*M^744 - 9*L^12*M^744 - 2728*L^11*M^746 + 
 148*L^12*M^746 + 78*L^11*M^748 + 2448*L^12*M^748 + 9882*L^12*M^750 - 
 7545*L^12*M^752 - 184230*L^12*M^754 - 220389*L^12*M^756 - 
 524609*L^12*M^758 + 1820733*L^12*M^760 + 241881*L^12*M^762 - 
 1625321*L^12*M^764 + 3481440*L^12*M^766 - 10409060*L^12*M^768 + 
 11578636*L^12*M^770 + 4786455*L^12*M^772 - 33794421*L^12*M^774 + 
 50763175*L^12*M^776 - 25191777*L^12*M^778 - 45628985*L^12*M^780 + 
 108191256*L^12*M^782 - 85507953*L^12*M^784 - 35469592*L^12*M^786 + 
 148813355*L^12*M^788 - 114364209*L^12*M^790 - 46393000*L^12*M^792 + 
 126723697*L^12*M^794 - 44815134*L^12*M^796 - 39750453*L^12*M^798 + 
 34188127*L^12*M^800 - 3810825*L^12*M^802 - 5275329*L^12*M^804 + 
 2887460*L^12*M^806 - 727299*L^12*M^808 + 107682*L^12*M^810 - 9*L^13*M^810 - 
 9792*L^12*M^812 + 198*L^13*M^812 + 522*L^12*M^814 + 2043*L^13*M^814 - 
 13*L^12*M^816 + 304*L^13*M^816 - 52729*L^13*M^818 - 245208*L^13*M^820 - 
 146946*L^13*M^822 + 420682*L^13*M^824 + 2721704*L^13*M^826 - 
 2018606*L^13*M^828 + 1577984*L^13*M^830 - 7184965*L^13*M^832 + 
 2214460*L^13*M^834 + 18087717*L^13*M^836 - 35045796*L^13*M^838 + 
 27734602*L^13*M^840 + 18749990*L^13*M^842 - 85329613*L^13*M^844 + 
 101578613*L^13*M^846 - 8504204*L^13*M^848 - 141282574*L^13*M^850 + 
 181967375*L^13*M^852 - 18384189*L^13*M^854 - 185292757*L^13*M^856 + 
 157738330*L^13*M^858 + 48145861*L^13*M^860 - 120451493*L^13*M^862 + 
 27211273*L^13*M^864 + 31739382*L^13*M^866 - 18082258*L^13*M^868 + 
 416090*L^13*M^870 + 2305364*L^13*M^872 - 882040*L^13*M^874 + 
 165533*L^13*M^876 - 8*L^14*M^876 - 18354*L^13*M^878 + 229*L^14*M^878 + 
 1245*L^13*M^880 + 1362*L^14*M^880 - 50*L^13*M^882 - 9052*L^14*M^882 + 
 L^13*M^884 - 84214*L^14*M^884 - 169043*L^14*M^886 + 256310*L^14*M^888 + 
 1773605*L^14*M^890 + 1268851*L^14*M^892 - 2166469*L^14*M^894 - 
 4136045*L^14*M^896 - 4700403*L^14*M^898 + 20004510*L^14*M^900 - 
 15056356*L^14*M^902 - 7505673*L^14*M^904 + 44473679*L^14*M^906 - 
 73726402*L^14*M^908 + 38040637*L^14*M^910 + 80356144*L^14*M^912 - 
 177300869*L^14*M^914 + 99188243*L^14*M^916 + 136734157*L^14*M^918 - 
 256361437*L^14*M^920 + 57050547*L^14*M^922 + 200227980*L^14*M^924 - 
 145114368*L^14*M^926 - 60090112*L^14*M^928 + 84775360*L^14*M^930 - 
 4461520*L^14*M^932 - 19432135*L^14*M^934 + 6164909*L^14*M^936 + 
 736509*L^14*M^938 - 791280*L^14*M^940 + 195143*L^14*M^942 - 8*L^15*M^942 - 
 24870*L^14*M^944 + 260*L^15*M^944 + 1788*L^14*M^946 + 498*L^15*M^946 - 
 68*L^14*M^948 - 16100*L^15*M^948 + L^14*M^950 - 78404*L^15*M^950 + 
 25149*L^15*M^952 + 885629*L^15*M^954 + 1924087*L^15*M^956 - 
 1300854*L^15*M^958 - 5249891*L^15*M^960 - 6807119*L^15*M^962 + 
 13064631*L^15*M^964 + 8086148*L^15*M^966 - 21649182*L^15*M^968 + 
 26415561*L^15*M^970 - 25077831*L^15*M^972 - 22380496*L^15*M^974 + 
 105775122*L^15*M^976 - 113998630*L^15*M^978 - 35775234*L^15*M^980 + 
 223599723*L^15*M^982 - 178633332*L^15*M^984 - 125990564*L^15*M^986 + 
 283270488*L^15*M^988 - 40670501*L^15*M^990 - 192099963*L^15*M^992 + 
 84176097*L^15*M^994 + 63469871*L^15*M^996 - 40879731*L^15*M^998 - 
 6811902*L^15*M^1000 + 8476023*L^15*M^1002 - 1029581*L^15*M^1004 - 
 519330*L^15*M^1006 + 199953*L^15*M^1008 - 7*L^16*M^1008 - 
 30719*L^15*M^1010 + 272*L^16*M^1010 + 2493*L^15*M^1012 - 410*L^16*M^1012 - 
 107*L^15*M^1014 - 19342*L^16*M^1014 + 2*L^15*M^1016 - 40314*L^16*M^1016 + 
 271200*L^16*M^1018 + 1175662*L^16*M^1020 + 429726*L^16*M^1022 - 
 4996665*L^16*M^1024 - 7537227*L^16*M^1026 + 3928160*L^16*M^1028 + 
 21761747*L^16*M^1030 - 11026593*L^16*M^1032 - 7368866*L^16*M^1034 + 
 2121971*L^16*M^1036 - 27385397*L^16*M^1038 + 65584154*L^16*M^1040 - 
 22257670*L^16*M^1042 - 110837178*L^16*M^1044 + 177133552*L^16*M^1046 - 
 12833442*L^16*M^1048 - 244525659*L^16*M^1050 + 206208398*L^16*M^1052 + 
 141452555*L^16*M^1054 - 251994607*L^16*M^1056 - 19988232*L^16*M^1058 + 
 149714504*L^16*M^1060 - 17207612*L^16*M^1062 - 46083012*L^16*M^1064 + 
 10317830*L^16*M^1066 + 6381997*L^16*M^1068 - 2319691*L^16*M^1070 - 
 132457*L^16*M^1072 + 173018*L^16*M^1074 - 7*L^17*M^1074 - 
 33388*L^16*M^1076 + 287*L^17*M^1076 + 2970*L^16*M^1078 - 1338*L^17*M^1078 - 
 127*L^16*M^1080 - 18741*L^17*M^1080 + 2*L^16*M^1082 + 16897*L^17*M^1082 + 
 440539*L^17*M^1084 + 771269*L^17*M^1086 - 2174307*L^17*M^1088 - 
 7510300*L^17*M^1090 - 1394293*L^17*M^1092 + 19730416*L^17*M^1094 + 
 13174400*L^17*M^1096 - 26481235*L^17*M^1098 - 9549691*L^17*M^1100 - 
 3889955*L^17*M^1102 + 31663608*L^17*M^1104 + 19526479*L^17*M^1106 - 
 98067957*L^17*M^1108 + 66495553*L^17*M^1110 + 103122782*L^17*M^1112 - 
 212331066*L^17*M^1114 + 28314074*L^17*M^1116 + 255351416*L^17*M^1118 - 
 165216172*L^17*M^1120 - 171817611*L^17*M^1122 + 165970981*L^17*M^1124 + 
 72344858*L^17*M^1126 - 80959060*L^17*M^1128 - 17554968*L^17*M^1130 + 
 20590412*L^17*M^1132 + 1229607*L^17*M^1134 - 2665514*L^17*M^1136 + 
 253364*L^17*M^1138 + 124059*L^17*M^1140 - 6*L^18*M^1140 - 
 34070*L^17*M^1142 + 283*L^18*M^1142 + 3502*L^17*M^1144 - 2148*L^18*M^1144 - 
 165*L^17*M^1146 - 14510*L^18*M^1146 + 3*L^17*M^1148 + 73082*L^18*M^1148 + 
 445482*L^18*M^1150 - 229640*L^18*M^1152 - 4399410*L^18*M^1154 - 
 4884450*L^18*M^1156 + 12303505*L^18*M^1158 + 25059824*L^18*M^1160 - 
 13205010*L^18*M^1162 - 41522310*L^18*M^1164 + 3379213*L^18*M^1166 + 
 36457587*L^18*M^1168 + 25501291*L^18*M^1170 - 64485856*L^18*M^1172 - 
 11168154*L^18*M^1174 + 117110148*L^18*M^1176 - 93720118*L^18*M^1178 - 
 103391580*L^18*M^1180 + 217514506*L^18*M^1182 + 3620539*L^18*M^1184 - 
 246858930*L^18*M^1186 + 70858885*L^18*M^1188 + 172218467*L^18*M^1190 - 
 59056653*L^18*M^1192 - 75421666*L^18*M^1194 + 20887613*L^18*M^1196 + 
 18093132*L^18*M^1198 - 4194919*L^18*M^1200 - 2003647*L^18*M^1202 + 
 542772*L^18*M^1204 + 58289*L^18*M^1206 - 6*L^19*M^1206 - 31348*L^18*M^1208 + 
 285*L^19*M^1208 + 3768*L^18*M^1210 - 2885*L^19*M^1210 - 184*L^18*M^1212 - 
 7541*L^19*M^1212 + 3*L^18*M^1214 + 114287*L^19*M^1214 + 266305*L^19*M^1216 - 
 1352927*L^19*M^1218 - 4420705*L^19*M^1220 + 3321655*L^19*M^1222 + 
 23053935*L^19*M^1224 + 7573391*L^19*M^1226 - 48816863*L^19*M^1228 - 
 28406113*L^19*M^1230 + 55479532*L^19*M^1232 + 43855323*L^19*M^1234 - 
 50296053*L^19*M^1236 - 50652220*L^19*M^1238 + 84079983*L^19*M^1240 + 
 8371885*L^19*M^1242 - 126971599*L^19*M^1244 + 94085245*L^19*M^1246 + 
 118390495*L^19*M^1248 - 187248976*L^19*M^1250 - 66478004*L^19*M^1252 + 
 194120196*L^19*M^1254 + 27429388*L^19*M^1256 - 119294136*L^19*M^1258 - 
 14885356*L^19*M^1260 + 40792964*L^19*M^1262 + 5536255*L^19*M^1264 - 
 7191871*L^19*M^1266 - 654687*L^19*M^1268 + 663380*L^19*M^1270 - 
 10696*L^19*M^1272 - 5*L^20*M^1272 - 26454*L^19*M^1274 + 268*L^20*M^1274 + 
 4002*L^19*M^1276 - 3402*L^20*M^1276 - 218*L^19*M^1278 + 1092*L^20*M^1278 + 
 4*L^19*M^1280 + 128658*L^20*M^1280 - 31982*L^20*M^1282 - 
 2020932*L^20*M^1284 - 1618348*L^20*M^1286 + 12434743*L^20*M^1288 + 
 18388742*L^20*M^1290 - 29434576*L^20*M^1292 - 59116824*L^20*M^1294 + 
 36310216*L^20*M^1296 + 89652448*L^20*M^1298 - 32904881*L^20*M^1300 - 
 91616037*L^20*M^1302 + 45251342*L^20*M^1304 + 72542346*L^20*M^1306 - 
 89298936*L^20*M^1308 - 14667608*L^20*M^1310 + 130494374*L^20*M^1312 - 
 65709976*L^20*M^1314 - 136931251*L^20*M^1316 + 117380311*L^20*M^1318 + 
 115035720*L^20*M^1320 - 100791151*L^20*M^1322 - 74214698*L^20*M^1324 + 
 43877975*L^20*M^1326 + 31316199*L^20*M^1328 - 8476965*L^20*M^1330 - 
 6499414*L^20*M^1332 + 827821*L^20*M^1334 + 589210*L^20*M^1336 - 
 71880*L^20*M^1338 - 5*L^21*M^1338 - 19022*L^20*M^1340 + 260*L^21*M^1340 + 
 3952*L^20*M^1342 - 3813*L^21*M^1342 - 233*L^20*M^1344 + 10403*L^21*M^1344 + 
 4*L^20*M^1346 + 113921*L^21*M^1346 - 354417*L^21*M^1348 - 
 1841821*L^21*M^1350 + 2825883*L^21*M^1352 + 15417384*L^21*M^1354 - 
 4264726*L^21*M^1356 - 57769505*L^21*M^1358 - 11490234*L^21*M^1360 + 
 109973142*L^21*M^1362 + 28292323*L^21*M^1364 - 132663990*L^21*M^1366 - 
 16830583*L^21*M^1368 + 121299014*L^21*M^1370 - 29531994*L^21*M^1372 - 
 85528524*L^21*M^1374 + 85528524*L^21*M^1376 + 29531994*L^21*M^1378 - 
 121299014*L^21*M^1380 + 16830583*L^21*M^1382 + 132663990*L^21*M^1384 - 
 28292323*L^21*M^1386 - 109973142*L^21*M^1388 + 11490234*L^21*M^1390 + 
 57769505*L^21*M^1392 + 4264726*L^21*M^1394 - 15417384*L^21*M^1396 - 
 2825883*L^21*M^1398 + 1841821*L^21*M^1400 + 354417*L^21*M^1402 - 
 113921*L^21*M^1404 - 4*L^22*M^1404 - 10403*L^21*M^1406 + 233*L^22*M^1406 + 
 3813*L^21*M^1408 - 3952*L^22*M^1408 - 260*L^21*M^1410 + 19022*L^22*M^1410 + 
 5*L^21*M^1412 + 71880*L^22*M^1412 - 589210*L^22*M^1414 - 
 827821*L^22*M^1416 + 6499414*L^22*M^1418 + 8476965*L^22*M^1420 - 
 31316199*L^22*M^1422 - 43877975*L^22*M^1424 + 74214698*L^22*M^1426 + 
 100791151*L^22*M^1428 - 115035720*L^22*M^1430 - 117380311*L^22*M^1432 + 
 136931251*L^22*M^1434 + 65709976*L^22*M^1436 - 130494374*L^22*M^1438 + 
 14667608*L^22*M^1440 + 89298936*L^22*M^1442 - 72542346*L^22*M^1444 - 
 45251342*L^22*M^1446 + 91616037*L^22*M^1448 + 32904881*L^22*M^1450 - 
 89652448*L^22*M^1452 - 36310216*L^22*M^1454 + 59116824*L^22*M^1456 + 
 29434576*L^22*M^1458 - 18388742*L^22*M^1460 - 12434743*L^22*M^1462 + 
 1618348*L^22*M^1464 + 2020932*L^22*M^1466 + 31982*L^22*M^1468 - 
 128658*L^22*M^1470 - 4*L^23*M^1470 - 1092*L^22*M^1472 + 218*L^23*M^1472 + 
 3402*L^22*M^1474 - 4002*L^23*M^1474 - 268*L^22*M^1476 + 26454*L^23*M^1476 + 
 5*L^22*M^1478 + 10696*L^23*M^1478 - 663380*L^23*M^1480 + 
 654687*L^23*M^1482 + 7191871*L^23*M^1484 - 5536255*L^23*M^1486 - 
 40792964*L^23*M^1488 + 14885356*L^23*M^1490 + 119294136*L^23*M^1492 - 
 27429388*L^23*M^1494 - 194120196*L^23*M^1496 + 66478004*L^23*M^1498 + 
 187248976*L^23*M^1500 - 118390495*L^23*M^1502 - 94085245*L^23*M^1504 + 
 126971599*L^23*M^1506 - 8371885*L^23*M^1508 - 84079983*L^23*M^1510 + 
 50652220*L^23*M^1512 + 50296053*L^23*M^1514 - 43855323*L^23*M^1516 - 
 55479532*L^23*M^1518 + 28406113*L^23*M^1520 + 48816863*L^23*M^1522 - 
 7573391*L^23*M^1524 - 23053935*L^23*M^1526 - 3321655*L^23*M^1528 + 
 4420705*L^23*M^1530 + 1352927*L^23*M^1532 - 266305*L^23*M^1534 - 
 114287*L^23*M^1536 - 3*L^24*M^1536 + 7541*L^23*M^1538 + 184*L^24*M^1538 + 
 2885*L^23*M^1540 - 3768*L^24*M^1540 - 285*L^23*M^1542 + 31348*L^24*M^1542 + 
 6*L^23*M^1544 - 58289*L^24*M^1544 - 542772*L^24*M^1546 + 
 2003647*L^24*M^1548 + 4194919*L^24*M^1550 - 18093132*L^24*M^1552 - 
 20887613*L^24*M^1554 + 75421666*L^24*M^1556 + 59056653*L^24*M^1558 - 
 172218467*L^24*M^1560 - 70858885*L^24*M^1562 + 246858930*L^24*M^1564 - 
 3620539*L^24*M^1566 - 217514506*L^24*M^1568 + 103391580*L^24*M^1570 + 
 93720118*L^24*M^1572 - 117110148*L^24*M^1574 + 11168154*L^24*M^1576 + 
 64485856*L^24*M^1578 - 25501291*L^24*M^1580 - 36457587*L^24*M^1582 - 
 3379213*L^24*M^1584 + 41522310*L^24*M^1586 + 13205010*L^24*M^1588 - 
 25059824*L^24*M^1590 - 12303505*L^24*M^1592 + 4884450*L^24*M^1594 + 
 4399410*L^24*M^1596 + 229640*L^24*M^1598 - 445482*L^24*M^1600 - 
 73082*L^24*M^1602 - 3*L^25*M^1602 + 14510*L^24*M^1604 + 165*L^25*M^1604 + 
 2148*L^24*M^1606 - 3502*L^25*M^1606 - 283*L^24*M^1608 + 34070*L^25*M^1608 + 
 6*L^24*M^1610 - 124059*L^25*M^1610 - 253364*L^25*M^1612 + 
 2665514*L^25*M^1614 - 1229607*L^25*M^1616 - 20590412*L^25*M^1618 + 
 17554968*L^25*M^1620 + 80959060*L^25*M^1622 - 72344858*L^25*M^1624 - 
 165970981*L^25*M^1626 + 171817611*L^25*M^1628 + 165216172*L^25*M^1630 - 
 255351416*L^25*M^1632 - 28314074*L^25*M^1634 + 212331066*L^25*M^1636 - 
 103122782*L^25*M^1638 - 66495553*L^25*M^1640 + 98067957*L^25*M^1642 - 
 19526479*L^25*M^1644 - 31663608*L^25*M^1646 + 3889955*L^25*M^1648 + 
 9549691*L^25*M^1650 + 26481235*L^25*M^1652 - 13174400*L^25*M^1654 - 
 19730416*L^25*M^1656 + 1394293*L^25*M^1658 + 7510300*L^25*M^1660 + 
 2174307*L^25*M^1662 - 771269*L^25*M^1664 - 440539*L^25*M^1666 - 
 16897*L^25*M^1668 - 2*L^26*M^1668 + 18741*L^25*M^1670 + 127*L^26*M^1670 + 
 1338*L^25*M^1672 - 2970*L^26*M^1672 - 287*L^25*M^1674 + 33388*L^26*M^1674 + 
 7*L^25*M^1676 - 173018*L^26*M^1676 + 132457*L^26*M^1678 + 
 2319691*L^26*M^1680 - 6381997*L^26*M^1682 - 10317830*L^26*M^1684 + 
 46083012*L^26*M^1686 + 17207612*L^26*M^1688 - 149714504*L^26*M^1690 + 
 19988232*L^26*M^1692 + 251994607*L^26*M^1694 - 141452555*L^26*M^1696 - 
 206208398*L^26*M^1698 + 244525659*L^26*M^1700 + 12833442*L^26*M^1702 - 
 177133552*L^26*M^1704 + 110837178*L^26*M^1706 + 22257670*L^26*M^1708 - 
 65584154*L^26*M^1710 + 27385397*L^26*M^1712 - 2121971*L^26*M^1714 + 
 7368866*L^26*M^1716 + 11026593*L^26*M^1718 - 21761747*L^26*M^1720 - 
 3928160*L^26*M^1722 + 7537227*L^26*M^1724 + 4996665*L^26*M^1726 - 
 429726*L^26*M^1728 - 1175662*L^26*M^1730 - 271200*L^26*M^1732 + 
 40314*L^26*M^1734 - 2*L^27*M^1734 + 19342*L^26*M^1736 + 107*L^27*M^1736 + 
 410*L^26*M^1738 - 2493*L^27*M^1738 - 272*L^26*M^1740 + 30719*L^27*M^1740 + 
 7*L^26*M^1742 - 199953*L^27*M^1742 + 519330*L^27*M^1744 + 
 1029581*L^27*M^1746 - 8476023*L^27*M^1748 + 6811902*L^27*M^1750 + 
 40879731*L^27*M^1752 - 63469871*L^27*M^1754 - 84176097*L^27*M^1756 + 
 192099963*L^27*M^1758 + 40670501*L^27*M^1760 - 283270488*L^27*M^1762 + 
 125990564*L^27*M^1764 + 178633332*L^27*M^1766 - 223599723*L^27*M^1768 + 
 35775234*L^27*M^1770 + 113998630*L^27*M^1772 - 105775122*L^27*M^1774 + 
 22380496*L^27*M^1776 + 25077831*L^27*M^1778 - 26415561*L^27*M^1780 + 
 21649182*L^27*M^1782 - 8086148*L^27*M^1784 - 13064631*L^27*M^1786 + 
 6807119*L^27*M^1788 + 5249891*L^27*M^1790 + 1300854*L^27*M^1792 - 
 1924087*L^27*M^1794 - 885629*L^27*M^1796 - 25149*L^27*M^1798 + 
 78404*L^27*M^1800 - L^28*M^1800 + 16100*L^27*M^1802 + 68*L^28*M^1802 - 
 498*L^27*M^1804 - 1788*L^28*M^1804 - 260*L^27*M^1806 + 24870*L^28*M^1806 + 
 8*L^27*M^1808 - 195143*L^28*M^1808 + 791280*L^28*M^1810 - 
 736509*L^28*M^1812 - 6164909*L^28*M^1814 + 19432135*L^28*M^1816 + 
 4461520*L^28*M^1818 - 84775360*L^28*M^1820 + 60090112*L^28*M^1822 + 
 145114368*L^28*M^1824 - 200227980*L^28*M^1826 - 57050547*L^28*M^1828 + 
 256361437*L^28*M^1830 - 136734157*L^28*M^1832 - 99188243*L^28*M^1834 + 
 177300869*L^28*M^1836 - 80356144*L^28*M^1838 - 38040637*L^28*M^1840 + 
 73726402*L^28*M^1842 - 44473679*L^28*M^1844 + 7505673*L^28*M^1846 + 
 15056356*L^28*M^1848 - 20004510*L^28*M^1850 + 4700403*L^28*M^1852 + 
 4136045*L^28*M^1854 + 2166469*L^28*M^1856 - 1268851*L^28*M^1858 - 
 1773605*L^28*M^1860 - 256310*L^28*M^1862 + 169043*L^28*M^1864 + 
 84214*L^28*M^1866 - L^29*M^1866 + 9052*L^28*M^1868 + 50*L^29*M^1868 - 
 1362*L^28*M^1870 - 1245*L^29*M^1870 - 229*L^28*M^1872 + 18354*L^29*M^1872 + 
 8*L^28*M^1874 - 165533*L^29*M^1874 + 882040*L^29*M^1876 - 
 2305364*L^29*M^1878 - 416090*L^29*M^1880 + 18082258*L^29*M^1882 - 
 31739382*L^29*M^1884 - 27211273*L^29*M^1886 + 120451493*L^29*M^1888 - 
 48145861*L^29*M^1890 - 157738330*L^29*M^1892 + 185292757*L^29*M^1894 + 
 18384189*L^29*M^1896 - 181967375*L^29*M^1898 + 141282574*L^29*M^1900 + 
 8504204*L^29*M^1902 - 101578613*L^29*M^1904 + 85329613*L^29*M^1906 - 
 18749990*L^29*M^1908 - 27734602*L^29*M^1910 + 35045796*L^29*M^1912 - 
 18087717*L^29*M^1914 - 2214460*L^29*M^1916 + 7184965*L^29*M^1918 - 
 1577984*L^29*M^1920 + 2018606*L^29*M^1922 - 2721704*L^29*M^1924 - 
 420682*L^29*M^1926 + 146946*L^29*M^1928 + 245208*L^29*M^1930 + 
 52729*L^29*M^1932 - 304*L^29*M^1934 + 13*L^30*M^1934 - 2043*L^29*M^1936 - 
 522*L^30*M^1936 - 198*L^29*M^1938 + 9792*L^30*M^1938 + 9*L^29*M^1940 - 
 107682*L^30*M^1940 + 727299*L^30*M^1942 - 2887460*L^30*M^1944 + 
 5275329*L^30*M^1946 + 3810825*L^30*M^1948 - 34188127*L^30*M^1950 + 
 39750453*L^30*M^1952 + 44815134*L^30*M^1954 - 126723697*L^30*M^1956 + 
 46393000*L^30*M^1958 + 114364209*L^30*M^1960 - 148813355*L^30*M^1962 + 
 35469592*L^30*M^1964 + 85507953*L^30*M^1966 - 108191256*L^30*M^1968 + 
 45628985*L^30*M^1970 + 25191777*L^30*M^1972 - 50763175*L^30*M^1974 + 
 33794421*L^30*M^1976 - 4786455*L^30*M^1978 - 11578636*L^30*M^1980 + 
 10409060*L^30*M^1982 - 3481440*L^30*M^1984 + 1625321*L^30*M^1986 - 
 241881*L^30*M^1988 - 1820733*L^30*M^1990 + 524609*L^30*M^1992 + 
 220389*L^30*M^1994 + 184230*L^30*M^1996 + 7545*L^30*M^1998 - 
 9882*L^30*M^2000 - 2448*L^30*M^2002 - 78*L^31*M^2002 - 148*L^30*M^2004 + 
 2728*L^31*M^2004 + 9*L^30*M^2006 - 42988*L^31*M^2006 + 388221*L^31*M^2008 - 
 2121033*L^31*M^2010 + 6709817*L^31*M^2012 - 9368364*L^31*M^2014 - 
 7741608*L^31*M^2016 + 44624560*L^31*M^2018 - 40175378*L^31*M^2020 - 
 40639680*L^31*M^2022 + 100000028*L^31*M^2024 - 50204354*L^31*M^2026 - 
 47762158*L^31*M^2028 + 91425919*L^31*M^2030 - 56741412*L^31*M^2032 - 
 9135456*L^31*M^2034 + 49584162*L^31*M^2036 - 45361317*L^31*M^2038 + 
 15494266*L^31*M^2040 + 10672168*L^31*M^2042 - 18361874*L^31*M^2044 + 
 11839561*L^31*M^2046 - 3284584*L^31*M^2048 - 738350*L^31*M^2050 + 
 2529090*L^31*M^2052 - 2602233*L^31*M^2054 + 658256*L^31*M^2056 + 
 11734*L^31*M^2058 + 358872*L^31*M^2060 - 3075*L^31*M^2062 - 
 13849*L^31*M^2064 - 15303*L^31*M^2066 - 2427*L^31*M^2068 - 95*L^31*M^2070 + 
 286*L^32*M^2070 + 10*L^31*M^2072 - 8855*L^32*M^2072 + 120604*L^32*M^2074 - 
 923364*L^32*M^2076 + 4209564*L^32*M^2078 - 10957885*L^32*M^2080 + 
 12360313*L^32*M^2082 + 9009658*L^32*M^2084 - 41153295*L^32*M^2086 + 
 33390368*L^32*M^2088 + 19828639*L^32*M^2090 - 57016756*L^32*M^2092 + 
 42662817*L^32*M^2094 + 459184*L^32*M^2096 - 34422334*L^32*M^2098 + 
 39005376*L^32*M^2100 - 19452540*L^32*M^2102 - 5118025*L^32*M^2104 + 
 18320127*L^32*M^2106 - 16612054*L^32*M^2108 + 6931313*L^32*M^2110 + 
 1577592*L^32*M^2112 - 4986986*L^32*M^2114 + 4443934*L^32*M^2116 - 
 1957844*L^32*M^2118 - 393785*L^32*M^2120 + 717081*L^32*M^2122 - 
 254942*L^32*M^2124 + 325049*L^32*M^2126 - 122796*L^32*M^2128 - 
 16098*L^32*M^2130 - 10992*L^32*M^2132 - 1818*L^32*M^2134 - 23*L^32*M^2136 + 
 10*L^32*M^2138 - 715*L^33*M^2138 + 19602*L^33*M^2140 - 231891*L^33*M^2142 + 
 1515336*L^33*M^2144 - 5804937*L^33*M^2146 + 12536716*L^33*M^2148 - 
 11690555*L^33*M^2150 - 6700524*L^33*M^2152 + 26760512*L^33*M^2154 - 
 22205259*L^33*M^2156 - 1739127*L^33*M^2158 + 20957807*L^33*M^2160 - 
 23719597*L^33*M^2162 + 12776595*L^33*M^2164 + 2376189*L^33*M^2166 - 
 12476498*L^33*M^2168 + 13547265*L^33*M^2170 - 7669972*L^33*M^2172 + 
 96329*L^33*M^2174 + 4599390*L^33*M^2176 - 5126362*L^33*M^2178 + 
 2918008*L^33*M^2180 - 356718*L^33*M^2182 - 898596*L^33*M^2184 + 
 658221*L^33*M^2186 - 285891*L^33*M^2188 + 265004*L^33*M^2190 - 
 85468*L^33*M^2192 - 9972*L^33*M^2194 - 39919*L^33*M^2196 + 
 3191*L^33*M^2198 - 450*L^33*M^2200 + 55*L^33*M^2202 + 11*L^33*M^2204 + 
 1287*L^34*M^2206 - 31020*L^34*M^2208 + 316800*L^34*M^2210 - 
 1755558*L^34*M^2212 + 5608749*L^34*M^2214 - 9981314*L^34*M^2216 + 
 7762792*L^34*M^2218 + 3032370*L^34*M^2220 - 11877956*L^34*M^2222 + 
 11069087*L^34*M^2224 - 4188888*L^34*M^2226 - 3070527*L^34*M^2228 + 
 7363512*L^34*M^2230 - 7495316*L^34*M^2232 + 4439796*L^34*M^2234 - 
 292464*L^34*M^2236 - 2818263*L^34*M^2238 + 3798163*L^34*M^2240 - 
 2827442*L^34*M^2242 + 998295*L^34*M^2244 + 494632*L^34*M^2246 - 
 1052014*L^34*M^2248 + 862294*L^34*M^2250 - 500320*L^34*M^2252 + 
 145797*L^34*M^2254 + 155433*L^34*M^2256 - 182854*L^34*M^2258 + 
 61197*L^34*M^2260 - 35832*L^34*M^2262 + 7438*L^34*M^2264 + 
 1908*L^34*M^2266 + 152*L^34*M^2268 + 11*L^34*M^2270 - 1716*L^35*M^2274 + 
 35904*L^35*M^2276 - 312114*L^35*M^2278 + 1442549*L^35*M^2280 - 
 3771151*L^35*M^2282 + 5440369*L^35*M^2284 - 3602991*L^35*M^2286 - 
 524610*L^35*M^2288 + 3265741*L^35*M^2290 - 3767989*L^35*M^2292 + 
 2830913*L^35*M^2294 - 1150017*L^35*M^2296 - 532728*L^35*M^2298 + 
 1654462*L^35*M^2300 - 1946134*L^35*M^2302 + 1505102*L^35*M^2304 - 
 649961*L^35*M^2306 - 185053*L^35*M^2308 + 689229*L^35*M^2310 - 
 748057*L^35*M^2312 + 491974*L^35*M^2314 - 140874*L^35*M^2316 - 
 114440*L^35*M^2318 + 172829*L^35*M^2320 - 70440*L^35*M^2322 + 
 1490*L^35*M^2324 - 20496*L^35*M^2326 + 15215*L^35*M^2328 - 
 4180*L^35*M^2330 + 3456*L^35*M^2332 + 258*L^35*M^2334 + 12*L^35*M^2336 + 
 1716*L^36*M^2342 - 30591*L^36*M^2344 + 221276*L^36*M^2346 - 
 829556*L^36*M^2348 + 1719918*L^36*M^2350 - 1973893*L^36*M^2352 + 
 1201772*L^36*M^2354 - 253539*L^36*M^2356 - 371237*L^36*M^2358 + 
 734937*L^36*M^2360 - 835479*L^36*M^2362 + 703061*L^36*M^2364 - 
 426796*L^36*M^2366 + 104286*L^36*M^2368 + 171364*L^36*M^2370 - 
 333309*L^36*M^2372 + 361503*L^36*M^2374 - 272482*L^36*M^2376 + 
 125335*L^36*M^2378 + 17097*L^36*M^2380 - 97778*L^36*M^2382 + 
 107507*L^36*M^2384 - 74178*L^36*M^2386 + 41069*L^36*M^2388 - 
 6455*L^36*M^2390 - 24201*L^36*M^2392 + 21731*L^36*M^2394 - 
 4405*L^36*M^2396 + 906*L^36*M^2398 + 383*L^36*M^2400 + 12*L^36*M^2402 - 
 1287*L^37*M^2410 + 19030*L^37*M^2412 - 110627*L^37*M^2414 + 
 321882*L^37*M^2416 - 505371*L^37*M^2418 + 462156*L^37*M^2420 - 
 308160*L^37*M^2422 + 186686*L^37*M^2424 - 73614*L^37*M^2426 - 
 25024*L^37*M^2428 + 92608*L^37*M^2430 - 130074*L^37*M^2432 + 
 134217*L^37*M^2434 - 113456*L^37*M^2436 + 74591*L^37*M^2438 - 
 29590*L^37*M^2440 - 11635*L^37*M^2442 + 40256*L^37*M^2444 - 
 51189*L^37*M^2446 + 44886*L^37*M^2448 - 25906*L^37*M^2450 + 
 4406*L^37*M^2452 + 9882*L^37*M^2454 - 9666*L^37*M^2456 + 2196*L^37*M^2458 - 
 1006*L^37*M^2460 + 4310*L^37*M^2462 - 1983*L^37*M^2464 + 221*L^37*M^2466 + 
 13*L^37*M^2468 + 715*L^38*M^2478 - 8426*L^38*M^2480 + 37248*L^38*M^2482 - 
 78198*L^38*M^2484 + 87617*L^38*M^2486 - 70608*L^38*M^2488 + 
 60819*L^38*M^2490 - 49725*L^38*M^2492 + 36079*L^38*M^2494 - 
 23301*L^38*M^2496 + 10551*L^38*M^2498 - 374*L^38*M^2500 - 7998*L^38*M^2502 + 
 12990*L^38*M^2504 - 15523*L^38*M^2506 + 14977*L^38*M^2508 - 
 12506*L^38*M^2510 + 8285*L^38*M^2512 - 3601*L^38*M^2514 - 916*L^38*M^2516 + 
 4161*L^38*M^2518 - 5604*L^38*M^2520 + 4887*L^38*M^2522 - 2385*L^38*M^2524 - 
 663*L^38*M^2526 + 1887*L^38*M^2528 - 531*L^38*M^2530 - 260*L^38*M^2532 + 
 13*L^38*M^2534 - 286*L^39*M^2546 + 2520*L^39*M^2548 - 7680*L^39*M^2550 + 
 10179*L^39*M^2552 - 8091*L^39*M^2554 + 7767*L^39*M^2556 - 7432*L^39*M^2558 + 
 6678*L^39*M^2560 - 5970*L^39*M^2562 + 4968*L^39*M^2564 - 4077*L^39*M^2566 + 
 3015*L^39*M^2568 - 2127*L^39*M^2570 + 1179*L^39*M^2572 - 456*L^39*M^2574 - 
 238*L^39*M^2576 + 678*L^39*M^2578 - 1032*L^39*M^2580 + 1135*L^39*M^2582 - 
 1137*L^39*M^2584 + 933*L^39*M^2586 - 665*L^39*M^2588 + 288*L^39*M^2590 + 
 54*L^39*M^2592 - 346*L^39*M^2594 + 432*L^39*M^2596 - 237*L^39*M^2598 - 
 12*L^39*M^2600 + 78*L^40*M^2614 - 457*L^40*M^2616 + 772*L^40*M^2618 - 
 492*L^40*M^2620 + 480*L^40*M^2622 - 484*L^40*M^2624 + 459*L^40*M^2626 - 
 450*L^40*M^2628 + 415*L^40*M^2630 - 396*L^40*M^2632 + 354*L^40*M^2634 - 
 328*L^40*M^2636 + 282*L^40*M^2638 - 252*L^40*M^2640 + 205*L^40*M^2642 - 
 174*L^40*M^2644 + 129*L^40*M^2646 - 100*L^40*M^2648 + 60*L^40*M^2650 - 
 36*L^40*M^2652 + 4*L^40*M^2654 + 12*L^40*M^2656 - 33*L^40*M^2658 + 
 38*L^40*M^2660 - 45*L^40*M^2662 + 36*L^40*M^2664 - 26*L^40*M^2666 - 
 13*L^41*M^2682 + 38*L^41*M^2684 - 13*L^41*M^2686 + 12*L^41*M^2688 - 
 12*L^41*M^2690 + 11*L^41*M^2692 - 11*L^41*M^2694 + 10*L^41*M^2696 - 
 10*L^41*M^2698 + 9*L^41*M^2700 - 9*L^41*M^2702 + 8*L^41*M^2704 - 
 8*L^41*M^2706 + 7*L^41*M^2708 - 7*L^41*M^2710 + 6*L^41*M^2712 - 
 6*L^41*M^2714 + 5*L^41*M^2716 - 5*L^41*M^2718 + 4*L^41*M^2720 - 
 4*L^41*M^2722 + 3*L^41*M^2724 - 3*L^41*M^2726 + 2*L^41*M^2728 - 
 2*L^41*M^2730 + L^41*M^2732 - L^41*M^2734 + L^42*M^2750