F3g := 1/2778001706389504*(11112006825558016*x^30*f[0]^14+3111361911156244480*
x^29*f[0]^14-177792109208928256*x^29*f[0]^13*f[1]-47992757479585071104*x^28*f[
0]^14-53182064667120664576*x^28*f[0]^13*f[1]+1320741382694895616*x^28*f[0]^12*
f[1]^2+338982880220472836096*x^27*f[0]^14+782685312765004414976*x^27*f[0]^13*f
[1]+421958219473847676928*x^27*f[0]^12*f[1]^2-6037674892319522816*x^27*f[0]^11
*f[1]^3-1475330034222512226304*x^26*f[0]^14-5274047351587298902016*x^26*f[0]^
13*f[1]-5912809555090289266688*x^26*f[0]^12*f[1]^2-2059817511285172846592*x^26
*f[0]^11*f[1]^3+18975549661575643136*x^26*f[0]^10*f[1]^4+
4437113221499920252928*x^25*f[0]^14+21859673171319635771392*x^25*f[0]^13*f[1]+
37921219444564313661440*x^25*f[0]^12*f[1]^2+27418426012073196126208*x^25*f[0]^
11*f[1]^3+6911499778957953449984*x^25*f[0]^10*f[1]^4-43372684940744327168*x^25
*f[0]^9*f[1]^5-9777221453665161560064*x^24*f[0]^14-62467724274843616182272*x^
24*f[0]^13*f[1]-149304179526197391474688*x^24*f[0]^12*f[1]^2-\
166924641369496851742720*x^24*f[0]^11*f[1]^3-87161560599463333688320*x^24*f[0]
^10*f[1]^4-16862695644350826647552*x^24*f[0]^9*f[1]^5+74353174184133132288*x^
24*f[0]^8*f[1]^6+16312848276178538692608*x^23*f[0]^14+130445581598290336874496
*x^23*f[0]^13*f[1]+404315747749804142120960*x^23*f[0]^12*f[1]^2+
622555860864151356047360*x^23*f[0]^11*f[1]^3+502240166708473461925888*x^23*f[0
]^10*f[1]^4+200866564060210984542208*x^23*f[0]^9*f[1]^5+
30850226584063637678592*x^23*f[0]^8*f[1]^6-97114349954786131968*x^23*f[0]^7*f[
1]^7-20989325236707804168192*x^22*f[0]^14-205641042939155406815232*x^22*f[0]^
13*f[1]-797860803091417175126016*x^22*f[0]^12*f[1]^2-1592834452253887812616192
*x^22*f[0]^11*f[1]^3-1768765823342860116819968*x^22*f[0]^10*f[1]^4-\
1091836165628888129615872*x^22*f[0]^9*f[1]^5-345912241395893095547904*x^22*f[0
]^8*f[1]^6-42993883923621301160448*x^22*f[0]^7*f[1]^7+97114349954786131968*x^
22*f[0]^6*f[1]^8+21000448355540187742208*x^21*f[0]^14+249164217913296277143552
*x^21*f[0]^13*f[1]+1184924056981007674146816*x^21*f[0]^12*f[1]^2+
2961076838276675512762368*x^21*f[0]^11*f[1]^3+4261478129631418301562880*x^21*f
[0]^10*f[1]^4+3618073587381781046263808*x^21*f[0]^9*f[1]^5+
1767006571141887119627520*x^21*f[0]^8*f[1]^6+451972800301769702602752*x^21*f[0
]^7*f[1]^7+45865665938637505056768*x^21*f[0]^6*f[1]^8-73991885679837052928*x^
21*f[0]^5*f[1]^9-16339861564771470229504*x^20*f[0]^14-233868340501792808075264
*x^20*f[0]^13*f[1]-1347851302092896978657280*x^20*f[0]^12*f[1]^2-\
4129275551146087974567936*x^20*f[0]^11*f[1]^3-7436864637795568548486144*x^20*f
[0]^10*f[1]^4-8177763585597339877212160*x^20*f[0]^9*f[1]^5-\
5487454287732228734098176*x^20*f[0]^8*f[1]^6-2160377044838731663021056*x^20*f[
0]^7*f[1]^7-449972010881810714740800*x^20*f[0]^6*f[1]^8-\
37272270009930807541760*x^20*f[0]^5*f[1]^9+42281077531335458816*x^20*f[0]^4*f[
1]^10+9806546039677809164288*x^19*f[0]^14+169967611826725230149632*x^19*f[0]^
13*f[1]+1183093566175198836494336*x^19*f[0]^12*f[1]^2+
4394666421271841287372800*x^19*f[0]^11*f[1]^3+9702418825410990991656960*x^19*f
[0]^10*f[1]^4+13344196757231180215775232*x^19*f[0]^9*f[1]^5+
11586117771142995631547136*x^19*f[0]^8*f[1]^6+6258526444338560792107008*x^19*f
[0]^7*f[1]^7+2002540237024218047345280*x^19*f[0]^6*f[1]^8+
339412631540476825354240*x^19*f[0]^5*f[1]^9+22712298684129879523328*x^19*f[0]^
4*f[1]^10-17571356896139411456*x^19*f[0]^3*f[1]^11-4458348266543561621504*x^18
*f[0]^14-94809131244575617286144*x^18*f[0]^13*f[1]-800607078430890164482048*x^
18*f[0]^12*f[1]^2-3594861480231909477990400*x^18*f[0]^11*f[1]^3-\
9624314037722459585427456*x^18*f[0]^10*f[1]^4-16219197489180760892762112*x^18*
f[0]^9*f[1]^5-17597243965563674170714368*x^18*f[0]^8*f[1]^6-\
12282998728502830774139904*x^18*f[0]^7*f[1]^7-5382851263141690143185856*x^18*f
[0]^6*f[1]^8-1398224295932801167546240*x^18*f[0]^5*f[1]^9-\
190752527465943076924864*x^18*f[0]^4*f[1]^10-10063488348600141873152*x^18*f[0]
^3*f[1]^11+5020387684611260416*x^18*f[0]^2*f[1]^12+1486297584959337988096*x^17
*f[0]^14+39831166258321917280256*x^17*f[0]^13*f[1]+413802194574289354416128*x^
17*f[0]^12*f[1]^2+2257169947322433383432192*x^17*f[0]^11*f[1]^3+
7307708971524244553138176*x^17*f[0]^10*f[1]^4+14928995414953585367420928*x^17*
f[0]^9*f[1]^5+19828997449826068896698880*x^17*f[0]^8*f[1]^6+
17271684001632373941067776*x^17*f[0]^7*f[1]^7+9763122152575560389972736*x^17*f
[0]^6*f[1]^8+3465518334817459201648640*x^17*f[0]^5*f[1]^9+
722426666393354029341136*x^17*f[0]^4*f[1]^10+77356582085258942236288*x^17*f[0]
^3*f[1]^11+3064942894345464315904*x^17*f[0]^2*f[1]^12-882705526964617216*x^17*
f[0]*f[1]^13-343016538698150395904*x^16*f[0]^14-12188160238586007617536*x^16*f
[0]^13*f[1]-160205145530694863126528*x^16*f[0]^12*f[1]^2-\
1077287738023527054868480*x^16*f[0]^11*f[1]^3-4240024449733723343694848*x^16*f
[0]^10*f[1]^4-10472320184463729802104832*x^16*f[0]^9*f[1]^5-\
16845674743883823820286976*x^16*f[0]^8*f[1]^6-17936111040148053751541760*x^16*
f[0]^7*f[1]^7-12627693279482583651531840*x^16*f[0]^6*f[1]^8-\
5768323929345928856725120*x^16*f[0]^5*f[1]^9-1638622325397370498239824*x^16*f[
0]^4*f[1]^10-267136666631279000366944*x^16*f[0]^3*f[1]^11-\
21362973369141659544380*x^16*f[0]^2*f[1]^12-574321494864670228480*x^16*f[0]*f[
1]^13+72057594037927936*x^16*f[1]^14+49003950100710850560*x^15*f[0]^14+
2561228677236518223872*x^15*f[0]^13*f[1]+44898319551681538109440*x^15*f[0]^12*
f[1]^2+383106934015622312624128*x^15*f[0]^11*f[1]^3+1860828058567059625179136*
x^15*f[0]^10*f[1]^4+5586110057726936313970688*x^15*f[0]^9*f[1]^5+
10851425041820424906528768*x^15*f[0]^8*f[1]^6+13967606750098733293879296*x^15*
f[0]^7*f[1]^7+11993621661635806036672128*x^15*f[0]^6*f[1]^8+
6806368164410757818824704*x^15*f[0]^5*f[1]^9+2481251673260016223055776*x^15*f[
0]^4*f[1]^10+549419100787119879345344*x^15*f[0]^3*f[1]^11+
66600862267468383582560*x^15*f[0]^2*f[1]^12+3588094500222174317816*x^15*f[0]*f
[1]^13+49955535801555091456*x^15*f[1]^14-3266930006714056704*x^14*f[0]^14-\
329959930678119727104*x^14*f[0]^13*f[1]-8582024714657580290048*x^14*f[0]^12*f[
1]^2-98057721677738863738880*x^14*f[0]^11*f[1]^3-605232933130990191677440*x^14
*f[0]^10*f[1]^4-2241472732261844465649664*x^14*f[0]^9*f[1]^5-\
5283903324215126373600768*x^14*f[0]^8*f[1]^6-8193323705175943507278336*x^14*f[
0]^7*f[1]^7-8479972335501394234778880*x^14*f[0]^6*f[1]^8-\
5850746883780384607324800*x^14*f[0]^5*f[1]^9-2641374943393257890380128*x^14*f[
0]^4*f[1]^10-748205017062313459928608*x^14*f[0]^3*f[1]^11-\
122756072567243127256636*x^14*f[0]^2*f[1]^12-9974487567594488530424*x^14*f[0]*
f[1]^13-275667787766719905116*x^14*f[1]^14+19601580040284340224*x^13*f[0]^13*f
[1]+998047117051144323072*x^13*f[0]^12*f[1]^2+17011815729519789015040*x^13*f[0
]^11*f[1]^3+140838870172089446432768*x^13*f[0]^10*f[1]^4+
662307957768163925499904*x^13*f[0]^9*f[1]^5+1921311102568211663151360*x^13*f[0
]^8*f[1]^6+3601712351794362054273024*x^13*f[0]^7*f[1]^7+
4470410605135575858594816*x^13*f[0]^6*f[1]^8+3700162928312086393747968*x^13*f[
0]^5*f[1]^9+2022102718232777868125424*x^13*f[0]^4*f[1]^10+
706804649736509776411008*x^13*f[0]^3*f[1]^11+147921769655546824794752*x^13*f[0
]^2*f[1]^12+16219740318565151188744*x^13*f[0]*f[1]^13+672643464051037823729*x^
13*f[1]^14-53087612609103421440*x^12*f[0]^12*f[1]^2-1783743783665874960384*x^
12*f[0]^11*f[1]^3-22065531729411257156608*x^12*f[0]^10*f[1]^4-\
138932547459986521235456*x^12*f[0]^9*f[1]^5-509514794332096808430336*x^12*f[0]
^8*f[1]^6-1167823601594234374315008*x^12*f[0]^7*f[1]^7-\
1738585145360907493315008*x^12*f[0]^6*f[1]^8-1711307978808156178981888*x^12*f[
0]^5*f[1]^9-1113341165439031140437616*x^12*f[0]^4*f[1]^10-\
468380338636506900099552*x^12*f[0]^3*f[1]^11-120595410146674449667884*x^12*f[0
]^2*f[1]^12-16857719984639770000688*x^12*f[0]*f[1]^13-943459899289528725937*x^
12*f[1]^14+84940180174565474304*x^11*f[0]^11*f[1]^3+2073071272385488607232*x^
11*f[0]^10*f[1]^4+19425937707538770817024*x^11*f[0]^9*f[1]^5+
94610622708516609252096*x^11*f[0]^8*f[1]^6+270844709787695282792448*x^11*f[0]^
7*f[1]^7+485372375091132345941376*x^11*f[0]^6*f[1]^8+562881237081083850755840*
x^11*f[0]^5*f[1]^9+427822146676078153655824*x^11*f[0]^4*f[1]^10+
211279564755560088432960*x^11*f[0]^3*f[1]^11+65034274431452616244416*x^11*f[0]
^2*f[1]^12+11207708752743572946576*x^11*f[0]*f[1]^13+806800013352389220122*x^
11*f[1]^14-87594560805020645376*x^10*f[0]^10*f[1]^4-1605900281425378498560*x^
10*f[0]^9*f[1]^5-11456234250553525585152*x^10*f[0]^8*f[1]^6-\
42481823175918366535680*x^10*f[0]^7*f[1]^7-91736862038193118289088*x^10*f[0]^6
*f[1]^8-122081383488409031666560*x^10*f[0]^5*f[1]^9-103253108467094687629808*x
^10*f[0]^4*f[1]^10-56329754164194468085408*x^10*f[0]^3*f[1]^11-\
19635848420469666457548*x^10*f[0]^2*f[1]^12-4051112762415122597760*x^10*f[0]*f
[1]^13-373439774979698065128*x^10*f[1]^14+58396373870013763584*x^9*f[0]^9*f[1]
^5+788351047245185808384*x^9*f[0]^8*f[1]^6+4035072877403498692608*x^9*f[0]^7*f
[1]^7+10145023497212825760000*x^9*f[0]^6*f[1]^8+13317632677130918752000*x^9*f[
0]^5*f[1]^9+8576352471134133219520*x^9*f[0]^4*f[1]^10+1731524970309121264256*x
^9*f[0]^3*f[1]^11-608282248695424188256*x^9*f[0]^2*f[1]^12-\
249971372446631786160*x^9*f[0]*f[1]^13-8373469933794856275*x^9*f[1]^14-\
21898640201255161344*x^8*f[0]^8*f[1]^6-175189121610041290752*x^8*f[0]^7*f[1]^7
-309192241015301730240*x^8*f[0]^6*f[1]^8+816092407919264705152*x^8*f[0]^5*f[1]
^9+3792461080037149061024*x^8*f[0]^4*f[1]^10+5623086894633628836416*x^8*f[0]^3
*f[1]^11+3933563929054393111100*x^8*f[0]^2*f[1]^12+1286665894637858161672*x^8*
f[0]*f[1]^13+153438088662996579645*x^8*f[1]^14-60221260553451693696*x^7*f[0]^6
*f[1]^8-513808802910990363392*x^7*f[0]^5*f[1]^9-1670589202764388618096*x^7*f[0
]^4*f[1]^10-2650642212649083744896*x^7*f[0]^3*f[1]^11-2161427618373992681608*x
^7*f[0]^2*f[1]^12-855769265043801649184*x^7*f[0]*f[1]^13-127711584284335315810
*x^7*f[1]^14+5474660050313790336*x^6*f[0]^6*f[1]^8+71170580654079274368*x^6*f[
0]^5*f[1]^9+318628342350496118864*x^6*f[0]^4*f[1]^10+660282992065899891136*x^6
*f[0]^3*f[1]^11+682609142306280428008*x^6*f[0]^2*f[1]^12+337241753683157101912
*x^6*f[0]*f[1]^13+62450083340091945092*x^6*f[1]^14-3649773366875860224*x^5*f[0
]^5*f[1]^9-31935516960163776960*x^5*f[0]^4*f[1]^10-99608748488315316992*x^5*f[
0]^3*f[1]^11-140236316542041883520*x^5*f[0]^2*f[1]^12-89733025974135865888*x^5
*f[0]*f[1]^13-20941754875791916579*x^5*f[1]^14+1368665012578447584*x^4*f[0]^4*
f[1]^10+8626737048979305984*x^4*f[0]^3*f[1]^11+18618118991717252308*x^4*f[0]^2
*f[1]^12+16392977217835297520*x^4*f[0]*f[1]^13+4982125867845752185*x^4*f[1]^14
-331797578806896384*x^3*f[0]^3*f[1]^11-1461983081617887192*x^3*f[0]^2*f[1]^12-\
1985596872556062640*x^3*f[0]*f[1]^13-833327748270035543*x^3*f[1]^14+
51843371688577560*x^2*f[0]^2*f[1]^12+144363850394346744*x^2*f[0]*f[1]^13+
93695451734974873*x^2*f[1]^14-4785542002022544*x*f[0]*f[1]^13-6380722669363392
*x*f[1]^14+199397583417606*f[1]^14)/x^20/(x-1)^26;