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# MHV9constants.txt — the 72 beyond-weight-11 constants of the 9-loop six-gluon MHV amplitude E^(9) of planar N=4 SYM,
# companion to MHV9septuples_function.txt (same alphabet and normalisation; Dixon–Liu 2308.08199 sec. 5.2 style) and to
# MHV9coproducts111.txt (the same constants as the full table of every independent tail, in the style of EZMHVcoproducts111.txt).
# Each constant is the value at (u,v,w) = (1,1,1) of a coproduct component E^{a1,...,ak} of E^(9) (k = 0..6, weight 18-k);
# together with the septuple file these fix E^(9) as a function.  Exact rationals over products of zeta values:
#   z2 = zeta(2), zN = zeta(N), zA_B = zeta(A,B), zA_B_C = zeta(A,B,C), ... with zeta(a,b,...) = sum_{n1>n2>...>=1} n1^-a n2^-b ...
# (the z-names are valid Maple symbols; in Mathematica the underscore is pattern syntax, so rename them, e.g. z5_3 -> Zeta53).
# This is also the convention of EZMHVcoproducts111.txt of arXiv:2308.08199 and of MZV[{...}] in SixGluonAmpsAndCops.m: with it,
# EZMHVcoproducts111.txt gives E^(8)(1,1,1) = -47748904.8557649662..., eq. (11.1) of arXiv:2308.08199. The count of 1,173 rational
# coefficients is the number of basis monomials over the 72 constants, zeros included (984 are nonzero). The pure-even term of
# E^(9)(1,1,1) depends on the g^18 coefficient of the normalisation constant rho, which is printed in the header of MHV9septuples_function.txt.
# The Maple list MHV9constants at the end gives one representative tail per independent constant as E(a1,...,ak) = value.
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# 9-loop beyond-weight-11 constants of the six-gluon MHV amplitude E^(9) at (1,1,1), in the normalisation of Dixon-Liu arXiv:2308.08199
# (the all-orders rho = det(1+K) exp[-zeta_2 Gamma_cusp/2] of eq. 2.27 there, continued to order g^18).
# Tails (a1..ak): ak = LAST symbol entry of E (letters a,b,c,mu,mv,mw,yu,yv,yw as in the ancillary files).  z2=zeta2, zN=zeta(N), zA_B=zeta(A,B), ...
# 1173 of 1173 coefficients exact; one of them, the pure-even term of E9(1,1,1) (the coefficient of z2^9), lay outside the range of the modular reconstruction and was fixed separately.

# MZV convention: zeta(a,b,...) = sum_{n1>n2>...>=1} n1^-a n2^-b ...  (first index on the largest summation variable; Dixon-Liu's convention; zeta(5,3) = 0.0377076730...).
# Monomial basis: generators z2,z3,z5,z7,z5_3,z9,z7_3,z11,z5_3_3,z9_3,z6_4_1_1,z13,z7_3_3,z5_5_3,z11_3,z9_5,z5_3_3_3,z15,z9_3_3,z7_5_3,z10_2_1_1_1,z13_3,z11_5,z7_3_3_3,z5_5_3_3,z10_2_2_2,z17,z11_3_3,z9_5_3,z7_7_3,z7_5_5,z5_3_3_3_3,z12_2_1_1_1,
#   weight 18: z15_3, z13_5, z9_3_3_3, z7_5_3_3, z5_5_5_3, z7_3_5_3, z12_2_2_2, z8_2_2_2_2_2.  The printed coefficients depend on this choice of generators (in particular on the depth-4 weight-18 choice); changing a generator changes the coefficients of all monomials at that weight by an exact linear transformation.
# Pure-even term of E9(1,1,1): (-185860747296551953568/4247857989375) z2^9 = (-5808148353017248549/1505515440) zeta(18)  [zeta(18) = 43867 pi^18/38979295480125].  This coefficient depends on the g^18 term of the cusp/BDS normalisation rho (re-derived from the BES kernel; the series printed in Dixon-Liu eq. 2.29 stops at g^16).
# E9(1,1,1): 58 of the 65 weight-18 monomials have nonzero coefficients; the 7 zeros are the monomials containing the non-Dixon-Liu-style generators (z6_4_1_1, z10_2_1_1_1, z10_2_2_2, z12_2_2_2, z8_2_2_2_2_2) and z3^6 -- the same pattern as at eight loops.

# E9(1,1,1) = (6031536)*z11*z2*z5 + (265327872/5)*z11*z2^2*z3 + (31501711767/13)*z11*z7 + (87276864/5)*z11_3*z2^2 + (-626400/11)*z11_5*z2 + (329066832)*z13*z2*z3 + (2341676826/5)*z13*z5 + (-10650576)*z13_3*z2 + (-1030060302/65)*z13_5 + (-938783312)*z15*z3 + (743185511/5)*z15_3 + (4224)*z2*z3*z5*z5_3 + (-88320)*z2*z3*z5_5_3 + (109824)*z2*z3*z7_3_3 + (354336)*z2*z3^2*z5^2 + (-56256)*z2*z3^2*z7_3 + (243072)*z2*z3^3*z7 + (30720)*z2*z5*z5_3_3 + (-3456)*z2*z5_3^2 + (62592)*z2*z5_5_3_3 + (-5447779104/11)*z2*z7*z9 + (-74688)*z2*z7_3_3_3 + (39168/5)*z2^2*z3*z5_3_3 + (-6912/5)*z2^2*z3^2*z5_3 + (2080896/5)*z2^2*z3^3*z5 + (701027904/5)*z2^2*z5*z9 + (145152/5)*z2^2*z5_3_3_3 + (458432976/5)*z2^2*z7^2 + (-24327872/5)*z2^2*z9_5 + (488479808/35)*z2^3*z3*z9 + (2294976/35)*z2^3*z3^4 + (660393856/35)*z2^3*z5*z7 + (15741760/21)*z2^3*z9_3 + (1341042816/175)*z2^4*z3*z7 + (704171976/175)*z2^4*z5^2 + (-148224/5)*z2^4*z7_3 + (9697799808/1925)*z2^5*z3*z5 + (-55159584/1925)*z2^5*z5_3 + (1532480322176/875875)*z2^6*z3^2 + (-185860747296551953568/4247857989375)*z2^9 + (6720)*z3*z5*z7_3 + (-2329248)*z3*z5^3 + (-29568)*z3*z5_3*z7 + (1099872)*z3*z7_5_3 + (-926144)*z3*z9_3_3 + (-9677760)*z3^2*z5*z7 + (-392384)*z3^2*z9_3 + (-3531456)*z3^3*z9 + (64320)*z5*z5_5_3 + (-87840)*z5*z7_3_3 + (-139296)*z5^2*z5_3 + (-17472)*z5_3*z7_3 + (-215040)*z5_3_3*z7 + (903168/5)*z5_5_5_3 + (1248)*z7_3_5_3 + (-1101744)*z7_5_3_3 + (110350486472/65)*z9^2 + (929056)*z9_3_3_3

# E9^{u,u}(1,1,1) [u-alphabet, E^{u} = E^{a}-E^{b}-E^{c}-E^{mu}] = (-11688192)*z11*z2*z3 + (1763528)*z11*z5 + (4203360)*z11_3*z2 + (13675736/11)*z11_5 + (56673896)*z13*z3 + (-7852064)*z13_3 + (-26368)*z2*z3*z5_3_3 + (13952)*z2*z3^2*z5_3 + (-53568)*z2*z3^3*z5 + (13950400)*z2*z5*z9 + (21760)*z2*z5_3_3_3 + (11611080)*z2*z7^2 + (-928256)*z2*z9_5 + (-24968128/5)*z2^2*z3*z9 + (-80352/5)*z2^2*z3^4 + (-2219680)*z2^2*z5*z7 + (4238528/15)*z2^2*z9_3 + (-12460288/7)*z2^3*z3*z7 + (-6231616/7)*z2^3*z5^2 + (76736/5)*z2^3*z7_3 + (-170542432/175)*z2^4*z3*z5 + (-655456/175)*z2^4*z5_3 + (-562259424/1925)*z2^5*z3^2 + (-93067818269854/70195125)*z2^8 + (-3840)*z3*z5*z5_3 + (145216)*z3*z5_5_3 + (-160704)*z3*z7_3_3 + (529136)*z3^2*z5^2 + (80352)*z3^2*z7_3 + (374976)*z3^3*z7 + (11520)*z5*z5_3_3 + (768)*z5_3^2 + (-145216)*z5_5_3_3 + (-257460336/11)*z7*z9 + (160704)*z7_3_3_3

# E9^{yu,yu}(1,1,1) = (25250688)*z11*z2*z3 + (-39613960)*z11*z5 + (-5824128)*z11_3*z2 + (-29927800/11)*z11_5 + (-138447880)*z13*z3 + (16923328)*z13_3 + (68096)*z2*z3*z5_3_3 + (-36352)*z2*z3^2*z5_3 + (113920)*z2*z3^3*z5 + (-5324544)*z2*z5*z9 + (-85760)*z2*z5_3_3_3 + (-8574936)*z2*z7^2 + (1065920)*z2*z9_5 + (63624608/5)*z2^2*z3*z9 + (34176)*z2^2*z3^4 + (31303936/5)*z2^2*z5*z7 + (-12998368/15)*z2^2*z9_3 + (162783616/35)*z2^3*z3*z7 + (83773072/35)*z2^3*z5^2 + (-5131648/35)*z2^3*z7_3 + (437804624/175)*z2^4*z3*z5 + (-17202352/175)*z2^4*z5_3 + (1409298384/1925)*z2^5*z3^2 + (14911867079312464/2456829375)*z2^8 + (11520)*z3*z5*z5_3 + (-300800)*z3*z5_5_3 + (341760)*z3*z7_3_3 + (-1167040)*z3^2*z5^2 + (-170880)*z3^2*z7_3 + (-797440)*z3^3*z7 + (44160)*z5*z5_3_3 + (5568)*z5_3^2 + (300800)*z5_5_3_3 + (217877744/11)*z7*z9 + (-341760)*z7_3_3_3

# E9^{u,u,u}(1,1,1) = (22110656/5)*z11*z2^2 + (27422236)*z13*z2 + (-234695828/3)*z15 + (59056)*z2*z3*z5^2 + (-9376)*z2*z3*z7_3 + (60768)*z2*z3^2*z7 + (352)*z2*z5*z5_3 + (-7360)*z2*z5_5_3 + (9152)*z2*z7_3_3 + (-1152/5)*z2^2*z3*z5_3 + (520224/5)*z2^2*z3^2*z5 + (3264/5)*z2^2*z5_3_3 + (764992/35)*z2^3*z3^3 + (122119952/105)*z2^3*z9 + (111753568/175)*z2^4*z7 + (808149984/1925)*z2^5*z5 + (766240161088/2627625)*z2^6*z3 + (-1612960)*z3*z5*z7 + (-196192/3)*z3*z9_3 + (-882864)*z3^2*z9 + (560)*z5*z7_3 + (-194104)*z5^3 + (-2464)*z5_3*z7 + (91656)*z7_5_3 + (-231536/3)*z9_3_3

# All independent constants, one representative tail per free parameter (kappa of that tail):
# level 0 parameter 0: E9^{}(1,1,1) = (6031536)*z11*z2*z5 + (265327872/5)*z11*z2^2*z3 + (31501711767/13)*z11*z7 + (87276864/5)*z11_3*z2^2 + (-626400/11)*z11_5*z2 + (329066832)*z13*z2*z3 + (2341676826/5)*z13*z5 + (-10650576)*z13_3*z2 + (-1030060302/65)*z13_5 + (-938783312)*z15*z3 + (743185511/5)*z15_3 + (4224)*z2*z3*z5*z5_3 + (-88320)*z2*z3*z5_5_3 + (109824)*z2*z3*z7_3_3 + (354336)*z2*z3^2*z5^2 + (-56256)*z2*z3^2*z7_3 + (243072)*z2*z3^3*z7 + (30720)*z2*z5*z5_3_3 + (-3456)*z2*z5_3^2 + (62592)*z2*z5_5_3_3 + (-5447779104/11)*z2*z7*z9 + (-74688)*z2*z7_3_3_3 + (39168/5)*z2^2*z3*z5_3_3 + (-6912/5)*z2^2*z3^2*z5_3 + (2080896/5)*z2^2*z3^3*z5 + (701027904/5)*z2^2*z5*z9 + (145152/5)*z2^2*z5_3_3_3 + (458432976/5)*z2^2*z7^2 + (-24327872/5)*z2^2*z9_5 + (488479808/35)*z2^3*z3*z9 + (2294976/35)*z2^3*z3^4 + (660393856/35)*z2^3*z5*z7 + (15741760/21)*z2^3*z9_3 + (1341042816/175)*z2^4*z3*z7 + (704171976/175)*z2^4*z5^2 + (-148224/5)*z2^4*z7_3 + (9697799808/1925)*z2^5*z3*z5 + (-55159584/1925)*z2^5*z5_3 + (1532480322176/875875)*z2^6*z3^2 + (-185860747296551953568/4247857989375)*z2^9 + (6720)*z3*z5*z7_3 + (-2329248)*z3*z5^3 + (-29568)*z3*z5_3*z7 + (1099872)*z3*z7_5_3 + (-926144)*z3*z9_3_3 + (-9677760)*z3^2*z5*z7 + (-392384)*z3^2*z9_3 + (-3531456)*z3^3*z9 + (64320)*z5*z5_5_3 + (-87840)*z5*z7_3_3 + (-139296)*z5^2*z5_3 + (-17472)*z5_3*z7_3 + (-215040)*z5_3_3*z7 + (903168/5)*z5_5_5_3 + (1248)*z7_3_5_3 + (-1101744)*z7_5_3_3 + (110350486472/65)*z9^2 + (929056)*z9_3_3_3
# level 2 parameter 0: E9^{a,mv}(1,1,1) = (-5844096)*z11*z2*z3 + (881764)*z11*z5 + (2101680)*z11_3*z2 + (6837868/11)*z11_5 + (28336948)*z13*z3 + (-3926032)*z13_3 + (-13184)*z2*z3*z5_3_3 + (6976)*z2*z3^2*z5_3 + (-26784)*z2*z3^3*z5 + (6975200)*z2*z5*z9 + (10880)*z2*z5_3_3_3 + (5805540)*z2*z7^2 + (-464128)*z2*z9_5 + (-12484064/5)*z2^2*z3*z9 + (-40176/5)*z2^2*z3^4 + (-1109840)*z2^2*z5*z7 + (2119264/15)*z2^2*z9_3 + (-6230144/7)*z2^3*z3*z7 + (-3115808/7)*z2^3*z5^2 + (38368/5)*z2^3*z7_3 + (-85271216/175)*z2^4*z3*z5 + (-327728/175)*z2^4*z5_3 + (-281129712/1925)*z2^5*z3^2 + (-46533909134927/70195125)*z2^8 + (-1920)*z3*z5*z5_3 + (72608)*z3*z5_5_3 + (-80352)*z3*z7_3_3 + (264568)*z3^2*z5^2 + (40176)*z3^2*z7_3 + (187488)*z3^3*z7 + (5760)*z5*z5_3_3 + (384)*z5_3^2 + (-72608)*z5_5_3_3 + (-128730168/11)*z7*z9 + (80352)*z7_3_3_3
# level 2 parameter 1: E9^{yw,yu}(1,1,1) = (25250688)*z11*z2*z3 + (-39613960)*z11*z5 + (-5824128)*z11_3*z2 + (-29927800/11)*z11_5 + (-138447880)*z13*z3 + (16923328)*z13_3 + (68096)*z2*z3*z5_3_3 + (-36352)*z2*z3^2*z5_3 + (113920)*z2*z3^3*z5 + (-5324544)*z2*z5*z9 + (-85760)*z2*z5_3_3_3 + (-8574936)*z2*z7^2 + (1065920)*z2*z9_5 + (63624608/5)*z2^2*z3*z9 + (34176)*z2^2*z3^4 + (31303936/5)*z2^2*z5*z7 + (-12998368/15)*z2^2*z9_3 + (162783616/35)*z2^3*z3*z7 + (83773072/35)*z2^3*z5^2 + (-5131648/35)*z2^3*z7_3 + (437804624/175)*z2^4*z3*z5 + (-17202352/175)*z2^4*z5_3 + (1409298384/1925)*z2^5*z3^2 + (14911867079312464/2456829375)*z2^8 + (11520)*z3*z5*z5_3 + (-300800)*z3*z5_5_3 + (341760)*z3*z7_3_3 + (-1167040)*z3^2*z5^2 + (-170880)*z3^2*z7_3 + (-797440)*z3^3*z7 + (44160)*z5*z5_3_3 + (5568)*z5_3^2 + (300800)*z5_5_3_3 + (217877744/11)*z7*z9 + (-341760)*z7_3_3_3
# level 3 parameter 0: E9^{yv,mv,yw}(1,1,1) = 0
# level 3 parameter 1: E9^{yv,yu,mw}(1,1,1) = (-22110656/5)*z11*z2^2 + (-27422236)*z13*z2 + (234695828/3)*z15 + (-59056)*z2*z3*z5^2 + (9376)*z2*z3*z7_3 + (-60768)*z2*z3^2*z7 + (-352)*z2*z5*z5_3 + (7360)*z2*z5_5_3 + (-9152)*z2*z7_3_3 + (1152/5)*z2^2*z3*z5_3 + (-520224/5)*z2^2*z3^2*z5 + (-3264/5)*z2^2*z5_3_3 + (-764992/35)*z2^3*z3^3 + (-122119952/105)*z2^3*z9 + (-111753568/175)*z2^4*z7 + (-808149984/1925)*z2^5*z5 + (-766240161088/2627625)*z2^6*z3 + (1612960)*z3*z5*z7 + (196192/3)*z3*z9_3 + (882864)*z3^2*z9 + (-560)*z5*z7_3 + (194104)*z5^3 + (2464)*z5_3*z7 + (-91656)*z7_5_3 + (231536/3)*z9_3_3
# level 3 parameter 2: E9^{yv,yv,mv}(1,1,1) = (-22110656/5)*z11*z2^2 + (-27422236)*z13*z2 + (234695828/3)*z15 + (-59056)*z2*z3*z5^2 + (9376)*z2*z3*z7_3 + (-60768)*z2*z3^2*z7 + (-352)*z2*z5*z5_3 + (7360)*z2*z5_5_3 + (-9152)*z2*z7_3_3 + (1152/5)*z2^2*z3*z5_3 + (-520224/5)*z2^2*z3^2*z5 + (-3264/5)*z2^2*z5_3_3 + (-764992/35)*z2^3*z3^3 + (-122119952/105)*z2^3*z9 + (-111753568/175)*z2^4*z7 + (-808149984/1925)*z2^5*z5 + (-766240161088/2627625)*z2^6*z3 + (1612960)*z3*z5*z7 + (196192/3)*z3*z9_3 + (882864)*z3^2*z9 + (-560)*z5*z7_3 + (194104)*z5^3 + (2464)*z5_3*z7 + (-91656)*z7_5_3 + (231536/3)*z9_3_3
# level 4 parameter 0: E9^{a,a,a,mv}(1,1,1) = (13333752)*z11*z3 + (-4275732)*z11_3 + (-10269728/3)*z2*z3*z9 + (-17308/3)*z2*z3^4 + (1176970)*z2*z5*z7 + (810830/3)*z2*z9_3 + (-929136)*z2^2*z3*z7 + (-2212218/5)*z2^2*z5^2 + (40788/5)*z2^2*z7_3 + (-2241968/5)*z2^3*z3*z5 + (340544/35)*z2^3*z5_3 + (-23964928/175)*z2^4*z3^2 + (1274487336532/2627625)*z2^7 + (-69232)*z3*z5_3_3 + (34616)*z3^2*z5_3 + (173080/3)*z3^3*z5 + (-55349719/3)*z5*z9 + (69232)*z5_3_3_3 + (-18391464)*z7^2 + (1214712)*z9_5
# level 4 parameter 1: E9^{a,mv,mv,mv}(1,1,1) = (-4348431)*z11*z3 + (1371536)*z11_3 + (3263536/3)*z2*z3*z9 + (5480/3)*z2*z3^4 + (-1212998/3)*z2*z5*z7 + (-865000/9)*z2*z9_3 + (357144)*z2^2*z3*z7 + (950268/5)*z2^2*z5^2 + (-44586/5)*z2^2*z7_3 + (1117804/7)*z2^3*z3*z5 + (-228948/35)*z2^3*z5_3 + (6582196/175)*z2^4*z3^2 + (-2721496887413/7882875)*z2^7 + (21920)*z3*z5_3_3 + (-10960)*z3^2*z5_3 + (-54800/3)*z3^3*z5 + (15713687/3)*z5*z9 + (-21920)*z5_3_3_3 + (10945417/2)*z7^2 + (-1170313/3)*z9_5
# level 4 parameter 2: E9^{yu,a,yv,mv}(1,1,1) = (250672)*z11*z3 + (-121572)*z11_3 + (-272128/3)*z2*z3*z9 + (-476/3)*z2*z3^4 + (37626)*z2*z5*z7 + (6810)*z2*z9_3 + (-86928/5)*z2^2*z3*z7 + (-48282/5)*z2^2*z5^2 + (-444)*z2^2*z7_3 + (-216848/35)*z2^3*z3*z5 + (-3392/7)*z2^3*z5_3 + (-46912/35)*z2^4*z3^2 + (11294373064/67375)*z2^7 + (-1904)*z3*z5_3_3 + (952)*z3^2*z5_3 + (4760/3)*z3^3*z5 + (-1934399/3)*z5*z9 + (1904)*z5_3_3_3 + (-584084)*z7^2 + (101296/3)*z9_5
# level 4 parameter 3: E9^{yv,c,c,yv}(1,1,1) = (-818020)*z11*z3 + (179380)*z11_3 + (450592/3)*z2*z3*z9 + (716/3)*z2*z3^4 + (-57454)*z2*z5*z7 + (-18374)*z2*z9_3 + (81648)*z2^2*z3*z7 + (240294/5)*z2^2*z5^2 + (-5748)*z2^2*z7_3 + (1320352/35)*z2^3*z3*z5 + (-152336/35)*z2^3*z5_3 + (1290672/175)*z2^4*z3^2 + (42447544592/875875)*z2^7 + (2864)*z3*z5_3_3 + (-1432)*z3^2*z5_3 + (-7160/3)*z3^3*z5 + (506501/3)*z5*z9 + (-2864)*z5_3_3_3 + (415502)*z7^2 + (-52532)*z9_5
# level 4 parameter 4: E9^{yv,a,yv,mw}(1,1,1) = (250672)*z11*z3 + (-121572)*z11_3 + (-272128/3)*z2*z3*z9 + (-476/3)*z2*z3^4 + (37626)*z2*z5*z7 + (6810)*z2*z9_3 + (-86928/5)*z2^2*z3*z7 + (-48282/5)*z2^2*z5^2 + (-444)*z2^2*z7_3 + (-216848/35)*z2^3*z3*z5 + (-3392/7)*z2^3*z5_3 + (-46912/35)*z2^4*z3^2 + (11294373064/67375)*z2^7 + (-1904)*z3*z5_3_3 + (952)*z3^2*z5_3 + (4760/3)*z3^3*z5 + (-1934399/3)*z5*z9 + (1904)*z5_3_3_3 + (-584084)*z7^2 + (101296/3)*z9_5
# level 4 parameter 5: E9^{yu,mw,yv,mv}(1,1,1) = (1629759)*z11*z3 + (-527424)*z11_3 + (-422288)*z2*z3*z9 + (-712)*z2*z3^4 + (144610)*z2*z5*z7 + (99160/3)*z2*z9_3 + (-563448/5)*z2^2*z3*z7 + (-265548/5)*z2^2*z5^2 + (4074/5)*z2^2*z7_3 + (-1893852/35)*z2^3*z3*z5 + (5516/5)*z2^3*z5_3 + (-2927412/175)*z2^4*z3^2 + (33889977379/525525)*z2^7 + (-8544)*z3*z5_3_3 + (4272)*z3^2*z5_3 + (7120)*z3^3*z5 + (-2301949)*z5*z9 + (8544)*z5_3_3_3 + (-4565321/2)*z7^2 + (149747)*z9_5
# level 4 parameter 6: E9^{yv,mu,c,yv}(1,1,1) = 0
# level 4 parameter 7: E9^{yw,mv,mv,yw}(1,1,1) = (-4889277)*z11*z3 + (1582272)*z11_3 + (1266864)*z2*z3*z9 + (2136)*z2*z3^4 + (-433830)*z2*z5*z7 + (-99160)*z2*z9_3 + (1690344/5)*z2^2*z3*z7 + (796644/5)*z2^2*z5^2 + (-12222/5)*z2^2*z7_3 + (5681556/35)*z2^3*z3*z5 + (-16548/5)*z2^3*z5_3 + (8782236/175)*z2^4*z3^2 + (-33889977379/175175)*z2^7 + (25632)*z3*z5_3_3 + (-12816)*z3^2*z5_3 + (-21360)*z3^3*z5 + (6905847)*z5*z9 + (-25632)*z5_3_3_3 + (13695963/2)*z7^2 + (-449241)*z9_5
# level 4 parameter 8: E9^{yw,yw,yw,yu}(1,1,1) = (-22648757)*z11*z3 + (6142952)*z11_3 + (15003008/3)*z2*z3*z9 + (24928/3)*z2*z3^4 + (-5444518/3)*z2*z5*z7 + (-4364516/9)*z2*z9_3 + (8802744/5)*z2^2*z3*z7 + (4694856/5)*z2^2*z5^2 + (-471678/5)*z2^2*z7_3 + (30731812/35)*z2^3*z3*z5 + (-2865484/35)*z2^3*z5_3 + (42144556/175)*z2^4*z3^2 + (5713426558253/7882875)*z2^7 + (99712)*z3*z5_3_3 + (-49856)*z3^2*z5_3 + (-249280/3)*z3^3*z5 + (55053751/3)*z5*z9 + (-99712)*z5_3_3_3 + (43288195/2)*z7^2 + (-1766321)*z9_5
# level 4 parameter 9: E9^{yw,yw,yw,yw}(1,1,1) = (-26442686)*z11*z3 + (7403816)*z11_3 + (18024992/3)*z2*z3*z9 + (30040/3)*z2*z3^4 + (-6467984/3)*z2*z5*z7 + (-5048668/9)*z2*z9_3 + (10034928/5)*z2^2*z3*z7 + (5247228/5)*z2^2*z5^2 + (-471996/5)*z2^2*z7_3 + (34961208/35)*z2^3*z3*z5 + (-583816/7)*z2^3*z5_3 + (7026296/25)*z2^4*z3^2 + (884359484462/1576575)*z2^7 + (120160)*z3*z5_3_3 + (-60080)*z3^2*z5_3 + (-300400/3)*z3^3*z5 + (72324832/3)*z5*z9 + (-120160)*z5_3_3_3 + (27249113)*z7^2 + (-2123686)*z9_5
# level 5 parameter 0: E9^{yv,yw,yw,mv,yw}(1,1,1) = (-517094)*z11*z2 + (34529237/8)*z13 + (2464)*z2*z3*z5_3 + (-7083)*z2*z3^2*z5 + (-2418)*z2*z5_3_3 + (-14166/5)*z2^2*z3^3 + (-4686303/10)*z2^2*z9 + (-6292558/35)*z2^3*z7 + (-345211/4)*z2^4*z5 + (-33522969/770)*z2^5*z3 + (108713/2)*z3*z5^2 + (7083)*z3*z7_3 + (49581)*z3^2*z7 + (-115)*z5*z5_3 + (5805)*z5_5_3 + (-7083)*z7_3_3
# level 5 parameter 1: E9^{yu,yw,yw,yw,mu}(1,1,1) = (-1403335)*z11*z2 + (9259379)*z13 + (4184)*z2*z3*z5_3 + (-21016)*z2*z3^2*z5 + (-4576)*z2*z5_3_3 + (-42032/5)*z2^2*z3^3 + (-4240673/5)*z2^2*z9 + (-2295290/7)*z2^3*z7 + (-31753658/175)*z2^4*z5 + (-212336956/1925)*z2^5*z3 + (141738)*z3*z5^2 + (21016)*z3*z7_3 + (147112)*z3^2*z7 + (980)*z5*z5_3 + (19316)*z5_5_3 + (-21016)*z7_3_3
# level 5 parameter 2: E9^{yu,yw,yw,yw,mw}(1,1,1) = (-2664115)*z11*z2 + (31210655/2)*z13 + (7512)*z2*z3*z5_3 + (-37912)*z2*z3^2*z5 + (-7616)*z2*z5_3_3 + (-75824/5)*z2^2*z3^3 + (-6987246/5)*z2^2*z9 + (-3674172/7)*z2^3*z7 + (-51314283/175)*z2^4*z5 + (-345654406/1925)*z2^5*z3 + (255466)*z3*z5^2 + (37912)*z3*z7_3 + (265384)*z3^2*z7 + (260)*z5*z5_3 + (34260)*z5_5_3 + (-37912)*z7_3_3
# level 5 parameter 3: E9^{yw,a,a,mv,yw}(1,1,1) = (202346)*z11*z2 + (-2094595/2)*z13 + (-528)*z2*z3*z5_3 + (1820)*z2*z3^2*z5 + (200)*z2*z5_3_3 + (728)*z2^2*z3^3 + (88760)*z2^2*z9 + (186404/5)*z2^3*z7 + (3326423/175)*z2^4*z5 + (543706/55)*z2^5*z3 + (-13310)*z3*z5^2 + (-1820)*z3*z7_3 + (-12740)*z3^2*z7 + (820)*z5*z5_3 + (-1228)*z5_5_3 + (1820)*z7_3_3
# level 5 parameter 4: E9^{yw,c,c,c,yv}(1,1,1) = (-974015/2)*z11*z2 + (4677897/2)*z13 + (700)*z2*z3*z5_3 + (-6386)*z2*z3^2*z5 + (-532)*z2*z5_3_3 + (-12772/5)*z2^2*z3^3 + (-809991/5)*z2^2*z9 + (-480132/7)*z2^3*z7 + (-7559553/175)*z2^4*z5 + (-11235682/385)*z2^5*z3 + (39498)*z3*z5^2 + (6386)*z3*z7_3 + (44702)*z3^2*z7 + (-420)*z5*z5_3 + (5868)*z5_5_3 + (-6386)*z7_3_3
# level 5 parameter 5: E9^{yv,mu,b,mw,yw}(1,1,1) = 0
# level 5 parameter 6: E9^{yv,mw,mw,yw,mw}(1,1,1) = (354776)*z11*z2 + (-3469093/2)*z13 + (-864)*z2*z3*z5_3 + (4968)*z2*z3^2*z5 + (848)*z2*z5_3_3 + (9936/5)*z2^2*z3^3 + (766109/5)*z2^2*z9 + (1895466/35)*z2^3*z7 + (1048001/35)*z2^4*z5 + (34942962/1925)*z2^5*z3 + (-32724)*z3*z5^2 + (-4968)*z3*z7_3 + (-34776)*z3^2*z7 + (40)*z5*z5_3 + (-4520)*z5_5_3 + (4968)*z7_3_3
# level 5 parameter 7: E9^{yv,mw,yu,b,mu}(1,1,1) = (274710)*z11*z2 + (-10636833/8)*z13 + (-672)*z2*z3*z5_3 + (3639)*z2*z3^2*z5 + (594)*z2*z5_3_3 + (7278/5)*z2^2*z3^3 + (1165857/10)*z2^2*z9 + (1468788/35)*z2^3*z7 + (3205161/140)*z2^4*z5 + (52219941/3850)*z2^5*z3 + (-48429/2)*z3*z5^2 + (-3639)*z3*z7_3 + (-25473)*z3^2*z7 + (195)*z5*z5_3 + (-3225)*z5_5_3 + (3639)*z7_3_3
# level 5 parameter 8: E9^{yv,yw,c,c,mu}(1,1,1) = (-569323/2)*z11*z2 + (1291651)*z13 + (172)*z2*z3*z5_3 + (-4566)*z2*z3^2*z5 + (-332)*z2*z5_3_3 + (-9132/5)*z2^2*z3^3 + (-366191/5)*z2^2*z9 + (-1095832/35)*z2^3*z7 + (-846626/35)*z2^4*z5 + (-1485948/77)*z2^5*z3 + (26188)*z3*z5^2 + (4566)*z3*z7_3 + (31962)*z3^2*z7 + (400)*z5*z5_3 + (4640)*z5_5_3 + (-4566)*z7_3_3
# level 5 parameter 9: E9^{yw,yw,b,b,mu}(1,1,1) = (2158061/2)*z11*z2 + (-10253627/2)*z13 + (-2916)*z2*z3*z5_3 + (13698)*z2*z3^2*z5 + (2420)*z2*z5_3_3 + (27396/5)*z2^2*z3^3 + (454615)*z2^2*z9 + (5564224/35)*z2^3*z7 + (15139401/175)*z2^4*z5 + (98525274/1925)*z2^5*z3 + (-93564)*z3*z5^2 + (-13698)*z3*z7_3 + (-95886)*z3^2*z7 + (1240)*z5*z5_3 + (-11744)*z5_5_3 + (13698)*z7_3_3
# level 5 parameter 10: E9^{yu,yw,a,mw,mw}(1,1,1) = (-66672)*z11*z2 + (321067/4)*z13 + (-112)*z2*z3*z5_3 + (-886)*z2*z3^2*z5 + (140)*z2*z5_3_3 + (-1772/5)*z2^2*z3^3 + (17231)*z2^2*z9 + (5588)*z2^3*z7 + (-36139/70)*z2^4*z5 + (-5305711/1925)*z2^5*z3 + (4173)*z3*z5^2 + (886)*z3*z7_3 + (6202)*z3^2*z7 + (-70)*z5*z5_3 + (914)*z5_5_3 + (-886)*z7_3_3
# level 5 parameter 11: E9^{yv,yv,b,b,mu}(1,1,1) = (-569323/2)*z11*z2 + (1291651)*z13 + (172)*z2*z3*z5_3 + (-4566)*z2*z3^2*z5 + (-332)*z2*z5_3_3 + (-9132/5)*z2^2*z3^3 + (-366191/5)*z2^2*z9 + (-1095832/35)*z2^3*z7 + (-846626/35)*z2^4*z5 + (-1485948/77)*z2^5*z3 + (26188)*z3*z5^2 + (4566)*z3*z7_3 + (31962)*z3^2*z7 + (400)*z5*z5_3 + (4640)*z5_5_3 + (-4566)*z7_3_3
# level 5 parameter 12: E9^{yv,yw,c,mu,mv}(1,1,1) = (-66672)*z11*z2 + (321067/4)*z13 + (-112)*z2*z3*z5_3 + (-886)*z2*z3^2*z5 + (140)*z2*z5_3_3 + (-1772/5)*z2^2*z3^3 + (17231)*z2^2*z9 + (5588)*z2^3*z7 + (-36139/70)*z2^4*z5 + (-5305711/1925)*z2^5*z3 + (4173)*z3*z5^2 + (886)*z3*z7_3 + (6202)*z3^2*z7 + (-70)*z5*z5_3 + (914)*z5_5_3 + (-886)*z7_3_3
# level 5 parameter 13: E9^{yv,yw,mu,mv,mv}(1,1,1) = (-63882)*z11*z2 + (376895)*z13 + (208)*z2*z3*z5_3 + (-1114)*z2*z3^2*z5 + (-276)*z2*z5_3_3 + (-2228/5)*z2^2*z3^3 + (-416747/10)*z2^2*z9 + (-485409/35)*z2^3*z7 + (-1157031/175)*z2^4*z5 + (-1314578/385)*z2^5*z3 + (7427)*z3*z5^2 + (1114)*z3*z7_3 + (7798)*z3^2*z7 + (170)*z5*z5_3 + (1078)*z5_5_3 + (-1114)*z7_3_3
# level 5 parameter 14: E9^{yv,yu,mv,mu,mv}(1,1,1) = (-167188)*z11*z2 + (3457713/4)*z13 + (448)*z2*z3*z5_3 + (-2426)*z2*z3^2*z5 + (-468)*z2*z5_3_3 + (-4852/5)*z2^2*z3^3 + (-398843/5)*z2^2*z9 + (-976616/35)*z2^3*z7 + (-1059827/70)*z2^4*z5 + (-17406647/1925)*z2^5*z3 + (16143)*z3*z5^2 + (2426)*z3*z7_3 + (16982)*z3^2*z7 + (50)*z5*z5_3 + (2222)*z5_5_3 + (-2426)*z7_3_3
# level 5 parameter 15: E9^{yw,yw,mv,mw,mu}(1,1,1) = (-146946)*z11*z2 + (4606513/8)*z13 + (256)*z2*z3*z5_3 + (-1411)*z2*z3^2*z5 + (-42)*z2*z5_3_3 + (-2822/5)*z2^2*z3^3 + (-332363/10)*z2^2*z9 + (-99594/7)*z2^3*z7 + (-6769557/700)*z2^4*z5 + (-25928381/3850)*z2^5*z3 + (18721/2)*z3*z5^2 + (1411)*z3*z7_3 + (9877)*z3^2*z7 + (-535)*z5*z5_3 + (1069)*z5_5_3 + (-1411)*z7_3_3
# level 5 parameter 16: E9^{yv,yv,mv,a,mv}(1,1,1) = (-907890)*z11*z2 + (33647601/8)*z13 + (2016)*z2*z3*z5_3 + (-11859)*z2*z3^2*z5 + (-1698)*z2*z5_3_3 + (-23718/5)*z2^2*z3^3 + (-3323373/10)*z2^2*z9 + (-4235004/35)*z2^3*z7 + (-50880321/700)*z2^4*z5 + (-183003033/3850)*z2^5*z3 + (155649/2)*z3*z5^2 + (11859)*z3*z7_3 + (83013)*z3^2*z7 + (-795)*z5*z5_3 + (10533)*z5_5_3 + (-11859)*z7_3_3
# level 6 parameter 0: E9^{a,mv,mv,mv,mv,mv}(1,1,1) = (1319481/4)*z2*z3*z7 + (601765/4)*z2*z5^2 + (-267845/4)*z2*z7_3 + (2835681/4)*z2^2*z3*z5 + (-537039/20)*z2^2*z5_3 + (25278951/140)*z2^3*z3^2 + (24172038444859/31531500)*z2^6 + (-42005535/8)*z3*z9 + (-73024445/12)*z5*z7 + (-14001845/72)*z9_3
# level 6 parameter 1: E9^{c,mv,yv,c,c,yv}(1,1,1) = (-1233)*z2*z3*z7 + (-326)*z2*z5^2 + (952)*z2*z7_3 + (-42153/10)*z2^2*z3*z5 + (6843/10)*z2^2*z5_3 + (-48417/70)*z2^3*z3^2 + (-4449894061/630630)*z2^6 + (48873/2)*z3*z9 + (149935/3)*z5*z7 + (16291/18)*z9_3
# level 6 parameter 2: E9^{c,mv,yw,mv,mv,yw}(1,1,1) = (-90223/4)*z2*z3*z7 + (-40487/4)*z2*z5^2 + (20501/4)*z2*z7_3 + (-200427/4)*z2^2*z3*z5 + (44349/20)*z2^2*z5_3 + (-49327/4)*z2^3*z3^2 + (-286059977353/6306300)*z2^6 + (2908605/8)*z3*z9 + (5253115/12)*z5*z7 + (969535/72)*z9_3
# level 6 parameter 3: E9^{c,mu,yw,yw,yw,yu}(1,1,1) = (-298711/4)*z2*z3*z7 + (-134355/4)*z2*z5^2 + (62447/4)*z2*z7_3 + (-3056397/20)*z2^2*z3*z5 + (160791/20)*z2^2*z5_3 + (-166849/4)*z2^3*z3^2 + (-315586485281/1212750)*z2^6 + (9427929/8)*z3*z9 + (16653875/12)*z5*z7 + (3142643/72)*z9_3
# level 6 parameter 4: E9^{c,yu,yw,yw,yv,mv}(1,1,1) = (76187/4)*z2*z3*z7 + (34619/4)*z2*z5^2 + (-14539/4)*z2*z7_3 + (776517/20)*z2^2*z3*z5 + (-32463/20)*z2^2*z5_3 + (1459123/140)*z2^3*z3^2 + (1033769000401/10510500)*z2^6 + (-2375829/8)*z3*z9 + (-1359285/4)*z5*z7 + (-263981/24)*z9_3
# level 6 parameter 5: E9^{c,yv,mv,c,c,yv}(1,1,1) = (-168)*z2*z3*z7 + (68)*z2*z5^2 + (438)*z2*z7_3 + (-10299/10)*z2^2*z3*z5 + (3921/10)*z2^2*z5_3 + (-1233/10)*z2^3*z3^2 + (-2017659577/1576575)*z2^6 + (5082)*z3*z9 + (55720/3)*z5*z7 + (1694/9)*z9_3
# level 6 parameter 6: E9^{c,yv,mv,c,yv,mv}(1,1,1) = (397)*z2*z3*z7 + (152)*z2*z5^2 + (-220)*z2*z7_3 + (6969/5)*z2^2*z3*z5 + (-111)*z2^2*z5_3 + (7919/35)*z2^3*z3^2 + (92117848/160875)*z2^6 + (-16053/2)*z3*z9 + (-39455/3)*z5*z7 + (-5351/18)*z9_3
# level 6 parameter 7: E9^{c,yv,mv,mu,mw,yw}(1,1,1) = (2811)*z2*z3*z7 + (1259)*z2*z5^2 + (-1377/2)*z2*z7_3 + (65043/10)*z2^2*z3*z5 + (-2949/10)*z2^2*z5_3 + (108471/70)*z2^3*z3^2 + (90321124367/15765750)*z2^6 + (-46254)*z3*z9 + (-170465/3)*z5*z7 + (-15418/9)*z9_3
# level 6 parameter 8: E9^{c,yv,mv,mv,yw,mu}(1,1,1) = (-14277/2)*z2*z3*z7 + (-3407)*z2*z5^2 + (709)*z2*z7_3 + (-252387/20)*z2^2*z3*z5 + (2649/20)*z2^2*z5_3 + (-535107/140)*z2^3*z3^2 + (-34061968027/1576575)*z2^6 + (417777/4)*z3*z9 + (604115/6)*z5*z7 + (139259/36)*z9_3
# level 6 parameter 9: E9^{c,yv,mv,mv,yw,mv}(1,1,1) = (-63187/4)*z2*z3*z7 + (-28023/4)*z2*z5^2 + (14863/4)*z2*z7_3 + (-176391/5)*z2^2*z3*z5 + (8289/5)*z2^2*z5_3 + (-119591/14)*z2^3*z3^2 + (-7638192539/500500)*z2^6 + (2030373/8)*z3*z9 + (1242165/4)*z5*z7 + (75199/8)*z9_3
# level 6 parameter 10: E9^{a,yv,mv,yw,mv,mw}(1,1,1) = (5421/2)*z2*z3*z7 + (1191)*z2*z5^2 + (-1479/2)*z2*z7_3 + (64563/10)*z2^2*z3*z5 + (-3453/10)*z2^2*z5_3 + (104997/70)*z2^3*z3^2 + (30845529259/5255250)*z2^6 + (-180891/4)*z3*z9 + (-115565/2)*z5*z7 + (-20099/12)*z9_3
# level 6 parameter 11: E9^{c,yv,mv,yw,mu,mu}(1,1,1) = (4442)*z2*z3*z7 + (2186)*z2*z5^2 + (-215/2)*z2*z7_3 + (32877/5)*z2^2*z3*z5 + (111)*z2^2*z5_3 + (16403/7)*z2^3*z3^2 + (8496667129/525525)*z2^6 + (-121509/2)*z3*z9 + (-48620)*z5*z7 + (-13501/6)*z9_3
# level 6 parameter 12: E9^{c,yv,mv,yw,mv,mw}(1,1,1) = (29153/4)*z2*z3*z7 + (13457/4)*z2*z5^2 + (-4935/4)*z2*z7_3 + (146427/10)*z2^2*z3*z5 + (-4629/10)*z2^2*z5_3 + (138457/35)*z2^3*z3^2 + (149061144179/7882875)*z2^6 + (-900363/8)*z3*z9 + (-1487125/12)*z5*z7 + (-300121/72)*z9_3
# level 6 parameter 13: E9^{c,yv,mv,yw,mw,mu}(1,1,1) = (-2477/2)*z2*z3*z7 + (-1283/2)*z2*z5^2 + (-327/2)*z2*z7_3 + (-5232/5)*z2^2*z3*z5 + (-684/5)*z2^2*z5_3 + (-21851/35)*z2^3*z3^2 + (-17065030319/2866500)*z2^6 + (56883/4)*z3*z9 + (31645/6)*z5*z7 + (18961/36)*z9_3
# level 6 parameter 14: E9^{c,yv,mv,yw,mw,mw}(1,1,1) = (-64487/4)*z2*z3*z7 + (-29611/4)*z2*z5^2 + (11941/4)*z2*z7_3 + (-336759/10)*z2^2*z3*z5 + (11169/10)*z2^2*z5_3 + (-306244/35)*z2^3*z3^2 + (-1218903866023/31531500)*z2^6 + (2021541/8)*z3*z9 + (3422075/12)*z5*z7 + (673847/72)*z9_3
# level 6 parameter 15: E9^{c,yw,c,c,c,yv}(1,1,1) = (4523/2)*z2*z3*z7 + (307/2)*z2*z5^2 + (-6029/2)*z2*z7_3 + (97593/10)*z2^2*z3*z5 + (-24627/10)*z2^2*z5_3 + (98671/70)*z2^3*z3^2 + (194856756538/7882875)*z2^6 + (-211161/4)*z3*z9 + (-842935/6)*z5*z7 + (-70387/36)*z9_3
# level 6 parameter 16: E9^{c,yw,c,mv,c,yv}(1,1,1) = (-449)*z2*z3*z7 + (-74)*z2*z5^2 + (463)*z2*z7_3 + (-15747/10)*z2^2*z3*z5 + (3873/10)*z2^2*z5_3 + (-19787/70)*z2^3*z3^2 + (-280035697/175175)*z2^6 + (18927/2)*z3*z9 + (22585)*z5*z7 + (701/2)*z9_3
# level 6 parameter 17: E9^{c,yw,c,mv,mv,yw}(1,1,1) = (-5091/2)*z2*z3*z7 + (-1056)*z2*z5^2 + (879)*z2*z7_3 + (-63777/10)*z2^2*z3*z5 + (4971/10)*z2^2*z5_3 + (-100203/70)*z2^3*z3^2 + (-313380486/67375)*z2^6 + (174879/4)*z3*z9 + (122835/2)*z5*z7 + (6477/4)*z9_3
# level 6 parameter 18: E9^{yu,b,b,b,mw,yw}(1,1,1) = (-4646)*z2*z3*z7 + (-1512)*z2*z5^2 + (2798)*z2*z7_3 + (-67857/5)*z2^2*z3*z5 + (10203/5)*z2^2*z5_3 + (-96217/35)*z2^3*z3^2 + (-27906224627/2627625)*z2^6 + (87417)*z3*z9 + (158110)*z5*z7 + (9713/3)*z9_3
# level 6 parameter 19: E9^{yu,b,yw,yv,mw,yw}(1,1,1) = (2100)*z2*z3*z7 + (1066)*z2*z5^2 + (-194)*z2*z7_3 + (82239/20)*z2^2*z3*z5 + (627/20)*z2^2*z5_3 + (24141/20)*z2^3*z3^2 + (19101663407/630630)*z2^6 + (-33096)*z3*z9 + (-91280/3)*z5*z7 + (-11032/9)*z9_3
# level 6 parameter 20: E9^{yu,c,c,c,c,yv}(1,1,1) = (4523/2)*z2*z3*z7 + (307/2)*z2*z5^2 + (-6029/2)*z2*z7_3 + (97593/10)*z2^2*z3*z5 + (-24627/10)*z2^2*z5_3 + (98671/70)*z2^3*z3^2 + (194856756538/7882875)*z2^6 + (-211161/4)*z3*z9 + (-842935/6)*z5*z7 + (-70387/36)*z9_3
# level 6 parameter 21: E9^{yu,c,c,mu,yw,mu}(1,1,1) = (-4671/2)*z2*z3*z7 + (-986)*z2*z5^2 + (704)*z2*z7_3 + (-27291/5)*z2^2*z3*z5 + (1977/5)*z2^2*z5_3 + (-45282/35)*z2^3*z3^2 + (-10701229801/2627625)*z2^6 + (154719/4)*z3*z9 + (103935/2)*z5*z7 + (17191/12)*z9_3
# level 6 parameter 22: E9^{yu,c,c,mv,c,yv}(1,1,1) = (-449)*z2*z3*z7 + (-74)*z2*z5^2 + (463)*z2*z7_3 + (-15747/10)*z2^2*z3*z5 + (3873/10)*z2^2*z5_3 + (-19787/70)*z2^3*z3^2 + (-280035697/175175)*z2^6 + (18927/2)*z3*z9 + (22585)*z5*z7 + (701/2)*z9_3
# level 6 parameter 23: E9^{yu,mu,mu,b,mw,yw}(1,1,1) = (4583)*z2*z3*z7 + (2061)*z2*z5^2 + (-2077/2)*z2*z7_3 + (204117/20)*z2^2*z3*z5 + (-8871/20)*z2^2*z5_3 + (351289/140)*z2^3*z3^2 + (35295608/4125)*z2^6 + (-73998)*z3*z9 + (-88915)*z5*z7 + (-8222/3)*z9_3
# level 6 parameter 24: E9^{yu,mu,yv,b,b,mu}(1,1,1) = 0
# level 6 parameter 25: E9^{yu,mu,yw,yw,yw,mu}(1,1,1) = (138201/4)*z2*z3*z7 + (64041/4)*z2*z5^2 + (-24447/4)*z2*z7_3 + (706617/10)*z2^2*z3*z5 + (-4707/2)*z2^2*z5_3 + (95304/5)*z2^3*z3^2 + (388367717327/3503500)*z2^6 + (-4333203/8)*z3*z9 + (-2404815/4)*z5*z7 + (-160489/8)*z9_3
# level 6 parameter 26: E9^{yu,mv,mw,a,yv,mv}(1,1,1) = (4951/2)*z2*z3*z7 + (2443/2)*z2*z5^2 + (-167/2)*z2*z7_3 + (76581/20)*z2^2*z3*z5 + (237/4)*z2^2*z5_3 + (36857/28)*z2^3*z3^2 + (109817384717/10510500)*z2^6 + (-137961/4)*z3*z9 + (-56545/2)*z5*z7 + (-15329/12)*z9_3
# level 6 parameter 27: E9^{yu,mv,yw,yv,mw,yw}(1,1,1) = (-87481/4)*z2*z3*z7 + (-41073/4)*z2*z5^2 + (12385/4)*z2*z7_3 + (-839781/20)*z2^2*z3*z5 + (19791/20)*z2^2*z5_3 + (-1664087/140)*z2^3*z3^2 + (-689995405543/10510500)*z2^6 + (2658087/8)*z3*z9 + (1390535/4)*z5*z7 + (295343/24)*z9_3
# level 6 parameter 28: E9^{yu,mw,a,mv,mv,yw}(1,1,1) = 0
# level 6 parameter 29: E9^{yu,mw,yw,yv,yu,mw}(1,1,1) = (45045)*z2*z3*z7 + (20847)*z2*z5^2 + (-7666)*z2*z7_3 + (181029/2)*z2^2*z3*z5 + (-29427/10)*z2^2*z5_3 + (49323/2)*z2^3*z3^2 + (1056576498463/7882875)*z2^6 + (-1397445/2)*z3*z9 + (-2307305/3)*z5*z7 + (-465815/18)*z9_3
# level 6 parameter 30: E9^{yu,yu,mv,a,a,mv}(1,1,1) = (-1324)*z2*z3*z7 + (-672)*z2*z5^2 + (-178)*z2*z7_3 + (-5601/5)*z2^2*z3*z5 + (-789/5)*z2^2*z5_3 + (-21797/35)*z2^3*z3^2 + (4534785494/7882875)*z2^6 + (14556)*z3*z9 + (15500/3)*z5*z7 + (4852/9)*z9_3
# level 6 parameter 31: E9^{yu,yu,yu,mw,yv,mv}(1,1,1) = (-4999/2)*z2*z3*z7 + (-849)*z2*z5^2 + (1807)*z2*z7_3 + (-18519/2)*z2^2*z3*z5 + (11577/10)*z2^2*z5_3 + (-113693/70)*z2^3*z3^2 + (-1567012597/121275)*z2^6 + (219435/4)*z3*z9 + (599825/6)*z5*z7 + (73145/36)*z9_3
# level 6 parameter 32: E9^{yu,yu,yw,mu,yw,mu}(1,1,1) = (192015/4)*z2*z3*z7 + (87805/4)*z2*z5^2 + (-37325/4)*z2*z7_3 + (100920)*z2^2*z3*z5 + (-18948/5)*z2^2*z5_3 + (1840917/70)*z2^3*z3^2 + (520654781533/4504500)*z2^6 + (-6063045/8)*z3*z9 + (-10411775/12)*z5*z7 + (-2021015/72)*z9_3
# level 6 parameter 33: E9^{yu,yu,yw,mv,c,yv}(1,1,1) = (4885/2)*z2*z3*z7 + (2533/2)*z2*z5^2 + (267)*z2*z7_3 + (24987/10)*z2^2*z3*z5 + (2763/10)*z2^2*z5_3 + (85961/70)*z2^3*z3^2 + (37485058397/4504500)*z2^6 + (-117069/4)*z3*z9 + (-78125/6)*z5*z7 + (-39023/36)*z9_3
# level 6 parameter 34: E9^{yu,yu,yw,mv,mv,yw}(1,1,1) = (84115/2)*z2*z3*z7 + (37663/2)*z2*z5^2 + (-10035)*z2*z7_3 + (1894017/20)*z2^2*z3*z5 + (-90987/20)*z2^2*z5_3 + (3263233/140)*z2^3*z3^2 + (153464418694/1576575)*z2^6 + (-2744907/4)*z3*z9 + (-5025635/6)*z5*z7 + (-914969/36)*z9_3
# level 6 parameter 35: E9^{yu,yu,yw,yw,yw,yu}(1,1,1) = (559473/4)*z2*z3*z7 + (199209/4)*z2*z5^2 + (-237011/4)*z2*z7_3 + (1447296/5)*z2^2*z3*z5 + (-256686/5)*z2^2*z5_3 + (5806179/70)*z2^3*z3^2 + (27393792681041/31531500)*z2^6 + (-18295923/8)*z3*z9 + (-44328805/12)*z5*z7 + (-6098641/72)*z9_3
# level 6 parameter 36: E9^{yu,yu,yw,yw,yw,yv}(1,1,1) = (132028)*z2*z3*z7 + (45989)*z2*z5^2 + (-117129/2)*z2*z7_3 + (1103253/4)*z2^2*z3*z5 + (-1024899/20)*z2^2*z5_3 + (11008133/140)*z2^3*z3^2 + (315911168327/375375)*z2^6 + (-4342365/2)*z3*z9 + (-3586040)*z5*z7 + (-482485/6)*z9_3
# level 6 parameter 37: E9^{yu,yu,yw,yw,yw,yw}(1,1,1) = (618011/4)*z2*z3*z7 + (225683/4)*z2*z5^2 + (-250271/4)*z2*z7_3 + (6420417/20)*z2^2*z3*z5 + (-1059507/20)*z2^2*z5_3 + (12777679/140)*z2^3*z3^2 + (28931562974011/31531500)*z2^6 + (-20198589/8)*z3*z9 + (-47745695/12)*z5*z7 + (-6732863/72)*z9_3
# level 6 parameter 38: E9^{yu,yv,b,b,mu,mu}(1,1,1) = (-1222)*z2*z3*z7 + (-662)*z2*z5^2 + (-104)*z2*z7_3 + (-3141/2)*z2^2*z3*z5 + (-1461/10)*z2^2*z5_3 + (-47221/70)*z2^3*z3^2 + (5571456259/2252250)*z2^6 + (16455)*z3*z9 + (25670/3)*z5*z7 + (5485/9)*z9_3

MHV9constants :=
[
E() = (6031536)*z11*z2*z5 + (265327872/5)*z11*z2^2*z3 + (31501711767/13)*z11*z7 + (87276864/5)*z11_3*z2^2 + (-626400/11)*z11_5*z2 + (329066832)*z13*z2*z3 + (2341676826/5)*z13*z5 + (-10650576)*z13_3*z2 + (-1030060302/65)*z13_5 + (-938783312)*z15*z3 + (743185511/5)*z15_3 + (4224)*z2*z3*z5*z5_3 + (-88320)*z2*z3*z5_5_3 + (109824)*z2*z3*z7_3_3 + (354336)*z2*z3^2*z5^2 + (-56256)*z2*z3^2*z7_3 + (243072)*z2*z3^3*z7 + (30720)*z2*z5*z5_3_3 + (-3456)*z2*z5_3^2 + (62592)*z2*z5_5_3_3 + (-5447779104/11)*z2*z7*z9 + (-74688)*z2*z7_3_3_3 + (39168/5)*z2^2*z3*z5_3_3 + (-6912/5)*z2^2*z3^2*z5_3 + (2080896/5)*z2^2*z3^3*z5 + (701027904/5)*z2^2*z5*z9 + (145152/5)*z2^2*z5_3_3_3 + (458432976/5)*z2^2*z7^2 + (-24327872/5)*z2^2*z9_5 + (488479808/35)*z2^3*z3*z9 + (2294976/35)*z2^3*z3^4 + (660393856/35)*z2^3*z5*z7 + (15741760/21)*z2^3*z9_3 + (1341042816/175)*z2^4*z3*z7 + (704171976/175)*z2^4*z5^2 + (-148224/5)*z2^4*z7_3 + (9697799808/1925)*z2^5*z3*z5 + (-55159584/1925)*z2^5*z5_3 + (1532480322176/875875)*z2^6*z3^2 + (-185860747296551953568/4247857989375)*z2^9 + (6720)*z3*z5*z7_3 + (-2329248)*z3*z5^3 + (-29568)*z3*z5_3*z7 + (1099872)*z3*z7_5_3 + (-926144)*z3*z9_3_3 + (-9677760)*z3^2*z5*z7 + (-392384)*z3^2*z9_3 + (-3531456)*z3^3*z9 + (64320)*z5*z5_5_3 + (-87840)*z5*z7_3_3 + (-139296)*z5^2*z5_3 + (-17472)*z5_3*z7_3 + (-215040)*z5_3_3*z7 + (903168/5)*z5_5_5_3 + (1248)*z7_3_5_3 + (-1101744)*z7_5_3_3 + (110350486472/65)*z9^2 + (929056)*z9_3_3_3,
E(a,mv) = (-5844096)*z11*z2*z3 + (881764)*z11*z5 + (2101680)*z11_3*z2 + (6837868/11)*z11_5 + (28336948)*z13*z3 + (-3926032)*z13_3 + (-13184)*z2*z3*z5_3_3 + (6976)*z2*z3^2*z5_3 + (-26784)*z2*z3^3*z5 + (6975200)*z2*z5*z9 + (10880)*z2*z5_3_3_3 + (5805540)*z2*z7^2 + (-464128)*z2*z9_5 + (-12484064/5)*z2^2*z3*z9 + (-40176/5)*z2^2*z3^4 + (-1109840)*z2^2*z5*z7 + (2119264/15)*z2^2*z9_3 + (-6230144/7)*z2^3*z3*z7 + (-3115808/7)*z2^3*z5^2 + (38368/5)*z2^3*z7_3 + (-85271216/175)*z2^4*z3*z5 + (-327728/175)*z2^4*z5_3 + (-281129712/1925)*z2^5*z3^2 + (-46533909134927/70195125)*z2^8 + (-1920)*z3*z5*z5_3 + (72608)*z3*z5_5_3 + (-80352)*z3*z7_3_3 + (264568)*z3^2*z5^2 + (40176)*z3^2*z7_3 + (187488)*z3^3*z7 + (5760)*z5*z5_3_3 + (384)*z5_3^2 + (-72608)*z5_5_3_3 + (-128730168/11)*z7*z9 + (80352)*z7_3_3_3,
E(yw,yu) = (25250688)*z11*z2*z3 + (-39613960)*z11*z5 + (-5824128)*z11_3*z2 + (-29927800/11)*z11_5 + (-138447880)*z13*z3 + (16923328)*z13_3 + (68096)*z2*z3*z5_3_3 + (-36352)*z2*z3^2*z5_3 + (113920)*z2*z3^3*z5 + (-5324544)*z2*z5*z9 + (-85760)*z2*z5_3_3_3 + (-8574936)*z2*z7^2 + (1065920)*z2*z9_5 + (63624608/5)*z2^2*z3*z9 + (34176)*z2^2*z3^4 + (31303936/5)*z2^2*z5*z7 + (-12998368/15)*z2^2*z9_3 + (162783616/35)*z2^3*z3*z7 + (83773072/35)*z2^3*z5^2 + (-5131648/35)*z2^3*z7_3 + (437804624/175)*z2^4*z3*z5 + (-17202352/175)*z2^4*z5_3 + (1409298384/1925)*z2^5*z3^2 + (14911867079312464/2456829375)*z2^8 + (11520)*z3*z5*z5_3 + (-300800)*z3*z5_5_3 + (341760)*z3*z7_3_3 + (-1167040)*z3^2*z5^2 + (-170880)*z3^2*z7_3 + (-797440)*z3^3*z7 + (44160)*z5*z5_3_3 + (5568)*z5_3^2 + (300800)*z5_5_3_3 + (217877744/11)*z7*z9 + (-341760)*z7_3_3_3,
E(yv,mv,yw) = 0,
E(yv,yu,mw) = (-22110656/5)*z11*z2^2 + (-27422236)*z13*z2 + (234695828/3)*z15 + (-59056)*z2*z3*z5^2 + (9376)*z2*z3*z7_3 + (-60768)*z2*z3^2*z7 + (-352)*z2*z5*z5_3 + (7360)*z2*z5_5_3 + (-9152)*z2*z7_3_3 + (1152/5)*z2^2*z3*z5_3 + (-520224/5)*z2^2*z3^2*z5 + (-3264/5)*z2^2*z5_3_3 + (-764992/35)*z2^3*z3^3 + (-122119952/105)*z2^3*z9 + (-111753568/175)*z2^4*z7 + (-808149984/1925)*z2^5*z5 + (-766240161088/2627625)*z2^6*z3 + (1612960)*z3*z5*z7 + (196192/3)*z3*z9_3 + (882864)*z3^2*z9 + (-560)*z5*z7_3 + (194104)*z5^3 + (2464)*z5_3*z7 + (-91656)*z7_5_3 + (231536/3)*z9_3_3,
E(yv,yv,mv) = (-22110656/5)*z11*z2^2 + (-27422236)*z13*z2 + (234695828/3)*z15 + (-59056)*z2*z3*z5^2 + (9376)*z2*z3*z7_3 + (-60768)*z2*z3^2*z7 + (-352)*z2*z5*z5_3 + (7360)*z2*z5_5_3 + (-9152)*z2*z7_3_3 + (1152/5)*z2^2*z3*z5_3 + (-520224/5)*z2^2*z3^2*z5 + (-3264/5)*z2^2*z5_3_3 + (-764992/35)*z2^3*z3^3 + (-122119952/105)*z2^3*z9 + (-111753568/175)*z2^4*z7 + (-808149984/1925)*z2^5*z5 + (-766240161088/2627625)*z2^6*z3 + (1612960)*z3*z5*z7 + (196192/3)*z3*z9_3 + (882864)*z3^2*z9 + (-560)*z5*z7_3 + (194104)*z5^3 + (2464)*z5_3*z7 + (-91656)*z7_5_3 + (231536/3)*z9_3_3,
E(a,a,a,mv) = (13333752)*z11*z3 + (-4275732)*z11_3 + (-10269728/3)*z2*z3*z9 + (-17308/3)*z2*z3^4 + (1176970)*z2*z5*z7 + (810830/3)*z2*z9_3 + (-929136)*z2^2*z3*z7 + (-2212218/5)*z2^2*z5^2 + (40788/5)*z2^2*z7_3 + (-2241968/5)*z2^3*z3*z5 + (340544/35)*z2^3*z5_3 + (-23964928/175)*z2^4*z3^2 + (1274487336532/2627625)*z2^7 + (-69232)*z3*z5_3_3 + (34616)*z3^2*z5_3 + (173080/3)*z3^3*z5 + (-55349719/3)*z5*z9 + (69232)*z5_3_3_3 + (-18391464)*z7^2 + (1214712)*z9_5,
E(a,mv,mv,mv) = (-4348431)*z11*z3 + (1371536)*z11_3 + (3263536/3)*z2*z3*z9 + (5480/3)*z2*z3^4 + (-1212998/3)*z2*z5*z7 + (-865000/9)*z2*z9_3 + (357144)*z2^2*z3*z7 + (950268/5)*z2^2*z5^2 + (-44586/5)*z2^2*z7_3 + (1117804/7)*z2^3*z3*z5 + (-228948/35)*z2^3*z5_3 + (6582196/175)*z2^4*z3^2 + (-2721496887413/7882875)*z2^7 + (21920)*z3*z5_3_3 + (-10960)*z3^2*z5_3 + (-54800/3)*z3^3*z5 + (15713687/3)*z5*z9 + (-21920)*z5_3_3_3 + (10945417/2)*z7^2 + (-1170313/3)*z9_5,
E(yu,a,yv,mv) = (250672)*z11*z3 + (-121572)*z11_3 + (-272128/3)*z2*z3*z9 + (-476/3)*z2*z3^4 + (37626)*z2*z5*z7 + (6810)*z2*z9_3 + (-86928/5)*z2^2*z3*z7 + (-48282/5)*z2^2*z5^2 + (-444)*z2^2*z7_3 + (-216848/35)*z2^3*z3*z5 + (-3392/7)*z2^3*z5_3 + (-46912/35)*z2^4*z3^2 + (11294373064/67375)*z2^7 + (-1904)*z3*z5_3_3 + (952)*z3^2*z5_3 + (4760/3)*z3^3*z5 + (-1934399/3)*z5*z9 + (1904)*z5_3_3_3 + (-584084)*z7^2 + (101296/3)*z9_5,
E(yv,c,c,yv) = (-818020)*z11*z3 + (179380)*z11_3 + (450592/3)*z2*z3*z9 + (716/3)*z2*z3^4 + (-57454)*z2*z5*z7 + (-18374)*z2*z9_3 + (81648)*z2^2*z3*z7 + (240294/5)*z2^2*z5^2 + (-5748)*z2^2*z7_3 + (1320352/35)*z2^3*z3*z5 + (-152336/35)*z2^3*z5_3 + (1290672/175)*z2^4*z3^2 + (42447544592/875875)*z2^7 + (2864)*z3*z5_3_3 + (-1432)*z3^2*z5_3 + (-7160/3)*z3^3*z5 + (506501/3)*z5*z9 + (-2864)*z5_3_3_3 + (415502)*z7^2 + (-52532)*z9_5,
E(yv,a,yv,mw) = (250672)*z11*z3 + (-121572)*z11_3 + (-272128/3)*z2*z3*z9 + (-476/3)*z2*z3^4 + (37626)*z2*z5*z7 + (6810)*z2*z9_3 + (-86928/5)*z2^2*z3*z7 + (-48282/5)*z2^2*z5^2 + (-444)*z2^2*z7_3 + (-216848/35)*z2^3*z3*z5 + (-3392/7)*z2^3*z5_3 + (-46912/35)*z2^4*z3^2 + (11294373064/67375)*z2^7 + (-1904)*z3*z5_3_3 + (952)*z3^2*z5_3 + (4760/3)*z3^3*z5 + (-1934399/3)*z5*z9 + (1904)*z5_3_3_3 + (-584084)*z7^2 + (101296/3)*z9_5,
E(yu,mw,yv,mv) = (1629759)*z11*z3 + (-527424)*z11_3 + (-422288)*z2*z3*z9 + (-712)*z2*z3^4 + (144610)*z2*z5*z7 + (99160/3)*z2*z9_3 + (-563448/5)*z2^2*z3*z7 + (-265548/5)*z2^2*z5^2 + (4074/5)*z2^2*z7_3 + (-1893852/35)*z2^3*z3*z5 + (5516/5)*z2^3*z5_3 + (-2927412/175)*z2^4*z3^2 + (33889977379/525525)*z2^7 + (-8544)*z3*z5_3_3 + (4272)*z3^2*z5_3 + (7120)*z3^3*z5 + (-2301949)*z5*z9 + (8544)*z5_3_3_3 + (-4565321/2)*z7^2 + (149747)*z9_5,
E(yv,mu,c,yv) = 0,
E(yw,mv,mv,yw) = (-4889277)*z11*z3 + (1582272)*z11_3 + (1266864)*z2*z3*z9 + (2136)*z2*z3^4 + (-433830)*z2*z5*z7 + (-99160)*z2*z9_3 + (1690344/5)*z2^2*z3*z7 + (796644/5)*z2^2*z5^2 + (-12222/5)*z2^2*z7_3 + (5681556/35)*z2^3*z3*z5 + (-16548/5)*z2^3*z5_3 + (8782236/175)*z2^4*z3^2 + (-33889977379/175175)*z2^7 + (25632)*z3*z5_3_3 + (-12816)*z3^2*z5_3 + (-21360)*z3^3*z5 + (6905847)*z5*z9 + (-25632)*z5_3_3_3 + (13695963/2)*z7^2 + (-449241)*z9_5,
E(yw,yw,yw,yu) = (-22648757)*z11*z3 + (6142952)*z11_3 + (15003008/3)*z2*z3*z9 + (24928/3)*z2*z3^4 + (-5444518/3)*z2*z5*z7 + (-4364516/9)*z2*z9_3 + (8802744/5)*z2^2*z3*z7 + (4694856/5)*z2^2*z5^2 + (-471678/5)*z2^2*z7_3 + (30731812/35)*z2^3*z3*z5 + (-2865484/35)*z2^3*z5_3 + (42144556/175)*z2^4*z3^2 + (5713426558253/7882875)*z2^7 + (99712)*z3*z5_3_3 + (-49856)*z3^2*z5_3 + (-249280/3)*z3^3*z5 + (55053751/3)*z5*z9 + (-99712)*z5_3_3_3 + (43288195/2)*z7^2 + (-1766321)*z9_5,
E(yw,yw,yw,yw) = (-26442686)*z11*z3 + (7403816)*z11_3 + (18024992/3)*z2*z3*z9 + (30040/3)*z2*z3^4 + (-6467984/3)*z2*z5*z7 + (-5048668/9)*z2*z9_3 + (10034928/5)*z2^2*z3*z7 + (5247228/5)*z2^2*z5^2 + (-471996/5)*z2^2*z7_3 + (34961208/35)*z2^3*z3*z5 + (-583816/7)*z2^3*z5_3 + (7026296/25)*z2^4*z3^2 + (884359484462/1576575)*z2^7 + (120160)*z3*z5_3_3 + (-60080)*z3^2*z5_3 + (-300400/3)*z3^3*z5 + (72324832/3)*z5*z9 + (-120160)*z5_3_3_3 + (27249113)*z7^2 + (-2123686)*z9_5,
E(yv,yw,yw,mv,yw) = (-517094)*z11*z2 + (34529237/8)*z13 + (2464)*z2*z3*z5_3 + (-7083)*z2*z3^2*z5 + (-2418)*z2*z5_3_3 + (-14166/5)*z2^2*z3^3 + (-4686303/10)*z2^2*z9 + (-6292558/35)*z2^3*z7 + (-345211/4)*z2^4*z5 + (-33522969/770)*z2^5*z3 + (108713/2)*z3*z5^2 + (7083)*z3*z7_3 + (49581)*z3^2*z7 + (-115)*z5*z5_3 + (5805)*z5_5_3 + (-7083)*z7_3_3,
E(yu,yw,yw,yw,mu) = (-1403335)*z11*z2 + (9259379)*z13 + (4184)*z2*z3*z5_3 + (-21016)*z2*z3^2*z5 + (-4576)*z2*z5_3_3 + (-42032/5)*z2^2*z3^3 + (-4240673/5)*z2^2*z9 + (-2295290/7)*z2^3*z7 + (-31753658/175)*z2^4*z5 + (-212336956/1925)*z2^5*z3 + (141738)*z3*z5^2 + (21016)*z3*z7_3 + (147112)*z3^2*z7 + (980)*z5*z5_3 + (19316)*z5_5_3 + (-21016)*z7_3_3,
E(yu,yw,yw,yw,mw) = (-2664115)*z11*z2 + (31210655/2)*z13 + (7512)*z2*z3*z5_3 + (-37912)*z2*z3^2*z5 + (-7616)*z2*z5_3_3 + (-75824/5)*z2^2*z3^3 + (-6987246/5)*z2^2*z9 + (-3674172/7)*z2^3*z7 + (-51314283/175)*z2^4*z5 + (-345654406/1925)*z2^5*z3 + (255466)*z3*z5^2 + (37912)*z3*z7_3 + (265384)*z3^2*z7 + (260)*z5*z5_3 + (34260)*z5_5_3 + (-37912)*z7_3_3,
E(yw,a,a,mv,yw) = (202346)*z11*z2 + (-2094595/2)*z13 + (-528)*z2*z3*z5_3 + (1820)*z2*z3^2*z5 + (200)*z2*z5_3_3 + (728)*z2^2*z3^3 + (88760)*z2^2*z9 + (186404/5)*z2^3*z7 + (3326423/175)*z2^4*z5 + (543706/55)*z2^5*z3 + (-13310)*z3*z5^2 + (-1820)*z3*z7_3 + (-12740)*z3^2*z7 + (820)*z5*z5_3 + (-1228)*z5_5_3 + (1820)*z7_3_3,
E(yw,c,c,c,yv) = (-974015/2)*z11*z2 + (4677897/2)*z13 + (700)*z2*z3*z5_3 + (-6386)*z2*z3^2*z5 + (-532)*z2*z5_3_3 + (-12772/5)*z2^2*z3^3 + (-809991/5)*z2^2*z9 + (-480132/7)*z2^3*z7 + (-7559553/175)*z2^4*z5 + (-11235682/385)*z2^5*z3 + (39498)*z3*z5^2 + (6386)*z3*z7_3 + (44702)*z3^2*z7 + (-420)*z5*z5_3 + (5868)*z5_5_3 + (-6386)*z7_3_3,
E(yv,mu,b,mw,yw) = 0,
E(yv,mw,mw,yw,mw) = (354776)*z11*z2 + (-3469093/2)*z13 + (-864)*z2*z3*z5_3 + (4968)*z2*z3^2*z5 + (848)*z2*z5_3_3 + (9936/5)*z2^2*z3^3 + (766109/5)*z2^2*z9 + (1895466/35)*z2^3*z7 + (1048001/35)*z2^4*z5 + (34942962/1925)*z2^5*z3 + (-32724)*z3*z5^2 + (-4968)*z3*z7_3 + (-34776)*z3^2*z7 + (40)*z5*z5_3 + (-4520)*z5_5_3 + (4968)*z7_3_3,
E(yv,mw,yu,b,mu) = (274710)*z11*z2 + (-10636833/8)*z13 + (-672)*z2*z3*z5_3 + (3639)*z2*z3^2*z5 + (594)*z2*z5_3_3 + (7278/5)*z2^2*z3^3 + (1165857/10)*z2^2*z9 + (1468788/35)*z2^3*z7 + (3205161/140)*z2^4*z5 + (52219941/3850)*z2^5*z3 + (-48429/2)*z3*z5^2 + (-3639)*z3*z7_3 + (-25473)*z3^2*z7 + (195)*z5*z5_3 + (-3225)*z5_5_3 + (3639)*z7_3_3,
E(yv,yw,c,c,mu) = (-569323/2)*z11*z2 + (1291651)*z13 + (172)*z2*z3*z5_3 + (-4566)*z2*z3^2*z5 + (-332)*z2*z5_3_3 + (-9132/5)*z2^2*z3^3 + (-366191/5)*z2^2*z9 + (-1095832/35)*z2^3*z7 + (-846626/35)*z2^4*z5 + (-1485948/77)*z2^5*z3 + (26188)*z3*z5^2 + (4566)*z3*z7_3 + (31962)*z3^2*z7 + (400)*z5*z5_3 + (4640)*z5_5_3 + (-4566)*z7_3_3,
E(yw,yw,b,b,mu) = (2158061/2)*z11*z2 + (-10253627/2)*z13 + (-2916)*z2*z3*z5_3 + (13698)*z2*z3^2*z5 + (2420)*z2*z5_3_3 + (27396/5)*z2^2*z3^3 + (454615)*z2^2*z9 + (5564224/35)*z2^3*z7 + (15139401/175)*z2^4*z5 + (98525274/1925)*z2^5*z3 + (-93564)*z3*z5^2 + (-13698)*z3*z7_3 + (-95886)*z3^2*z7 + (1240)*z5*z5_3 + (-11744)*z5_5_3 + (13698)*z7_3_3,
E(yu,yw,a,mw,mw) = (-66672)*z11*z2 + (321067/4)*z13 + (-112)*z2*z3*z5_3 + (-886)*z2*z3^2*z5 + (140)*z2*z5_3_3 + (-1772/5)*z2^2*z3^3 + (17231)*z2^2*z9 + (5588)*z2^3*z7 + (-36139/70)*z2^4*z5 + (-5305711/1925)*z2^5*z3 + (4173)*z3*z5^2 + (886)*z3*z7_3 + (6202)*z3^2*z7 + (-70)*z5*z5_3 + (914)*z5_5_3 + (-886)*z7_3_3,
E(yv,yv,b,b,mu) = (-569323/2)*z11*z2 + (1291651)*z13 + (172)*z2*z3*z5_3 + (-4566)*z2*z3^2*z5 + (-332)*z2*z5_3_3 + (-9132/5)*z2^2*z3^3 + (-366191/5)*z2^2*z9 + (-1095832/35)*z2^3*z7 + (-846626/35)*z2^4*z5 + (-1485948/77)*z2^5*z3 + (26188)*z3*z5^2 + (4566)*z3*z7_3 + (31962)*z3^2*z7 + (400)*z5*z5_3 + (4640)*z5_5_3 + (-4566)*z7_3_3,
E(yv,yw,c,mu,mv) = (-66672)*z11*z2 + (321067/4)*z13 + (-112)*z2*z3*z5_3 + (-886)*z2*z3^2*z5 + (140)*z2*z5_3_3 + (-1772/5)*z2^2*z3^3 + (17231)*z2^2*z9 + (5588)*z2^3*z7 + (-36139/70)*z2^4*z5 + (-5305711/1925)*z2^5*z3 + (4173)*z3*z5^2 + (886)*z3*z7_3 + (6202)*z3^2*z7 + (-70)*z5*z5_3 + (914)*z5_5_3 + (-886)*z7_3_3,
E(yv,yw,mu,mv,mv) = (-63882)*z11*z2 + (376895)*z13 + (208)*z2*z3*z5_3 + (-1114)*z2*z3^2*z5 + (-276)*z2*z5_3_3 + (-2228/5)*z2^2*z3^3 + (-416747/10)*z2^2*z9 + (-485409/35)*z2^3*z7 + (-1157031/175)*z2^4*z5 + (-1314578/385)*z2^5*z3 + (7427)*z3*z5^2 + (1114)*z3*z7_3 + (7798)*z3^2*z7 + (170)*z5*z5_3 + (1078)*z5_5_3 + (-1114)*z7_3_3,
E(yv,yu,mv,mu,mv) = (-167188)*z11*z2 + (3457713/4)*z13 + (448)*z2*z3*z5_3 + (-2426)*z2*z3^2*z5 + (-468)*z2*z5_3_3 + (-4852/5)*z2^2*z3^3 + (-398843/5)*z2^2*z9 + (-976616/35)*z2^3*z7 + (-1059827/70)*z2^4*z5 + (-17406647/1925)*z2^5*z3 + (16143)*z3*z5^2 + (2426)*z3*z7_3 + (16982)*z3^2*z7 + (50)*z5*z5_3 + (2222)*z5_5_3 + (-2426)*z7_3_3,
E(yw,yw,mv,mw,mu) = (-146946)*z11*z2 + (4606513/8)*z13 + (256)*z2*z3*z5_3 + (-1411)*z2*z3^2*z5 + (-42)*z2*z5_3_3 + (-2822/5)*z2^2*z3^3 + (-332363/10)*z2^2*z9 + (-99594/7)*z2^3*z7 + (-6769557/700)*z2^4*z5 + (-25928381/3850)*z2^5*z3 + (18721/2)*z3*z5^2 + (1411)*z3*z7_3 + (9877)*z3^2*z7 + (-535)*z5*z5_3 + (1069)*z5_5_3 + (-1411)*z7_3_3,
E(yv,yv,mv,a,mv) = (-907890)*z11*z2 + (33647601/8)*z13 + (2016)*z2*z3*z5_3 + (-11859)*z2*z3^2*z5 + (-1698)*z2*z5_3_3 + (-23718/5)*z2^2*z3^3 + (-3323373/10)*z2^2*z9 + (-4235004/35)*z2^3*z7 + (-50880321/700)*z2^4*z5 + (-183003033/3850)*z2^5*z3 + (155649/2)*z3*z5^2 + (11859)*z3*z7_3 + (83013)*z3^2*z7 + (-795)*z5*z5_3 + (10533)*z5_5_3 + (-11859)*z7_3_3,
E(a,mv,mv,mv,mv,mv) = (1319481/4)*z2*z3*z7 + (601765/4)*z2*z5^2 + (-267845/4)*z2*z7_3 + (2835681/4)*z2^2*z3*z5 + (-537039/20)*z2^2*z5_3 + (25278951/140)*z2^3*z3^2 + (24172038444859/31531500)*z2^6 + (-42005535/8)*z3*z9 + (-73024445/12)*z5*z7 + (-14001845/72)*z9_3,
E(c,mv,yv,c,c,yv) = (-1233)*z2*z3*z7 + (-326)*z2*z5^2 + (952)*z2*z7_3 + (-42153/10)*z2^2*z3*z5 + (6843/10)*z2^2*z5_3 + (-48417/70)*z2^3*z3^2 + (-4449894061/630630)*z2^6 + (48873/2)*z3*z9 + (149935/3)*z5*z7 + (16291/18)*z9_3,
E(c,mv,yw,mv,mv,yw) = (-90223/4)*z2*z3*z7 + (-40487/4)*z2*z5^2 + (20501/4)*z2*z7_3 + (-200427/4)*z2^2*z3*z5 + (44349/20)*z2^2*z5_3 + (-49327/4)*z2^3*z3^2 + (-286059977353/6306300)*z2^6 + (2908605/8)*z3*z9 + (5253115/12)*z5*z7 + (969535/72)*z9_3,
E(c,mu,yw,yw,yw,yu) = (-298711/4)*z2*z3*z7 + (-134355/4)*z2*z5^2 + (62447/4)*z2*z7_3 + (-3056397/20)*z2^2*z3*z5 + (160791/20)*z2^2*z5_3 + (-166849/4)*z2^3*z3^2 + (-315586485281/1212750)*z2^6 + (9427929/8)*z3*z9 + (16653875/12)*z5*z7 + (3142643/72)*z9_3,
E(c,yu,yw,yw,yv,mv) = (76187/4)*z2*z3*z7 + (34619/4)*z2*z5^2 + (-14539/4)*z2*z7_3 + (776517/20)*z2^2*z3*z5 + (-32463/20)*z2^2*z5_3 + (1459123/140)*z2^3*z3^2 + (1033769000401/10510500)*z2^6 + (-2375829/8)*z3*z9 + (-1359285/4)*z5*z7 + (-263981/24)*z9_3,
E(c,yv,mv,c,c,yv) = (-168)*z2*z3*z7 + (68)*z2*z5^2 + (438)*z2*z7_3 + (-10299/10)*z2^2*z3*z5 + (3921/10)*z2^2*z5_3 + (-1233/10)*z2^3*z3^2 + (-2017659577/1576575)*z2^6 + (5082)*z3*z9 + (55720/3)*z5*z7 + (1694/9)*z9_3,
E(c,yv,mv,c,yv,mv) = (397)*z2*z3*z7 + (152)*z2*z5^2 + (-220)*z2*z7_3 + (6969/5)*z2^2*z3*z5 + (-111)*z2^2*z5_3 + (7919/35)*z2^3*z3^2 + (92117848/160875)*z2^6 + (-16053/2)*z3*z9 + (-39455/3)*z5*z7 + (-5351/18)*z9_3,
E(c,yv,mv,mu,mw,yw) = (2811)*z2*z3*z7 + (1259)*z2*z5^2 + (-1377/2)*z2*z7_3 + (65043/10)*z2^2*z3*z5 + (-2949/10)*z2^2*z5_3 + (108471/70)*z2^3*z3^2 + (90321124367/15765750)*z2^6 + (-46254)*z3*z9 + (-170465/3)*z5*z7 + (-15418/9)*z9_3,
E(c,yv,mv,mv,yw,mu) = (-14277/2)*z2*z3*z7 + (-3407)*z2*z5^2 + (709)*z2*z7_3 + (-252387/20)*z2^2*z3*z5 + (2649/20)*z2^2*z5_3 + (-535107/140)*z2^3*z3^2 + (-34061968027/1576575)*z2^6 + (417777/4)*z3*z9 + (604115/6)*z5*z7 + (139259/36)*z9_3,
E(c,yv,mv,mv,yw,mv) = (-63187/4)*z2*z3*z7 + (-28023/4)*z2*z5^2 + (14863/4)*z2*z7_3 + (-176391/5)*z2^2*z3*z5 + (8289/5)*z2^2*z5_3 + (-119591/14)*z2^3*z3^2 + (-7638192539/500500)*z2^6 + (2030373/8)*z3*z9 + (1242165/4)*z5*z7 + (75199/8)*z9_3,
E(a,yv,mv,yw,mv,mw) = (5421/2)*z2*z3*z7 + (1191)*z2*z5^2 + (-1479/2)*z2*z7_3 + (64563/10)*z2^2*z3*z5 + (-3453/10)*z2^2*z5_3 + (104997/70)*z2^3*z3^2 + (30845529259/5255250)*z2^6 + (-180891/4)*z3*z9 + (-115565/2)*z5*z7 + (-20099/12)*z9_3,
E(c,yv,mv,yw,mu,mu) = (4442)*z2*z3*z7 + (2186)*z2*z5^2 + (-215/2)*z2*z7_3 + (32877/5)*z2^2*z3*z5 + (111)*z2^2*z5_3 + (16403/7)*z2^3*z3^2 + (8496667129/525525)*z2^6 + (-121509/2)*z3*z9 + (-48620)*z5*z7 + (-13501/6)*z9_3,
E(c,yv,mv,yw,mv,mw) = (29153/4)*z2*z3*z7 + (13457/4)*z2*z5^2 + (-4935/4)*z2*z7_3 + (146427/10)*z2^2*z3*z5 + (-4629/10)*z2^2*z5_3 + (138457/35)*z2^3*z3^2 + (149061144179/7882875)*z2^6 + (-900363/8)*z3*z9 + (-1487125/12)*z5*z7 + (-300121/72)*z9_3,
E(c,yv,mv,yw,mw,mu) = (-2477/2)*z2*z3*z7 + (-1283/2)*z2*z5^2 + (-327/2)*z2*z7_3 + (-5232/5)*z2^2*z3*z5 + (-684/5)*z2^2*z5_3 + (-21851/35)*z2^3*z3^2 + (-17065030319/2866500)*z2^6 + (56883/4)*z3*z9 + (31645/6)*z5*z7 + (18961/36)*z9_3,
E(c,yv,mv,yw,mw,mw) = (-64487/4)*z2*z3*z7 + (-29611/4)*z2*z5^2 + (11941/4)*z2*z7_3 + (-336759/10)*z2^2*z3*z5 + (11169/10)*z2^2*z5_3 + (-306244/35)*z2^3*z3^2 + (-1218903866023/31531500)*z2^6 + (2021541/8)*z3*z9 + (3422075/12)*z5*z7 + (673847/72)*z9_3,
E(c,yw,c,c,c,yv) = (4523/2)*z2*z3*z7 + (307/2)*z2*z5^2 + (-6029/2)*z2*z7_3 + (97593/10)*z2^2*z3*z5 + (-24627/10)*z2^2*z5_3 + (98671/70)*z2^3*z3^2 + (194856756538/7882875)*z2^6 + (-211161/4)*z3*z9 + (-842935/6)*z5*z7 + (-70387/36)*z9_3,
E(c,yw,c,mv,c,yv) = (-449)*z2*z3*z7 + (-74)*z2*z5^2 + (463)*z2*z7_3 + (-15747/10)*z2^2*z3*z5 + (3873/10)*z2^2*z5_3 + (-19787/70)*z2^3*z3^2 + (-280035697/175175)*z2^6 + (18927/2)*z3*z9 + (22585)*z5*z7 + (701/2)*z9_3,
E(c,yw,c,mv,mv,yw) = (-5091/2)*z2*z3*z7 + (-1056)*z2*z5^2 + (879)*z2*z7_3 + (-63777/10)*z2^2*z3*z5 + (4971/10)*z2^2*z5_3 + (-100203/70)*z2^3*z3^2 + (-313380486/67375)*z2^6 + (174879/4)*z3*z9 + (122835/2)*z5*z7 + (6477/4)*z9_3,
E(yu,b,b,b,mw,yw) = (-4646)*z2*z3*z7 + (-1512)*z2*z5^2 + (2798)*z2*z7_3 + (-67857/5)*z2^2*z3*z5 + (10203/5)*z2^2*z5_3 + (-96217/35)*z2^3*z3^2 + (-27906224627/2627625)*z2^6 + (87417)*z3*z9 + (158110)*z5*z7 + (9713/3)*z9_3,
E(yu,b,yw,yv,mw,yw) = (2100)*z2*z3*z7 + (1066)*z2*z5^2 + (-194)*z2*z7_3 + (82239/20)*z2^2*z3*z5 + (627/20)*z2^2*z5_3 + (24141/20)*z2^3*z3^2 + (19101663407/630630)*z2^6 + (-33096)*z3*z9 + (-91280/3)*z5*z7 + (-11032/9)*z9_3,
E(yu,c,c,c,c,yv) = (4523/2)*z2*z3*z7 + (307/2)*z2*z5^2 + (-6029/2)*z2*z7_3 + (97593/10)*z2^2*z3*z5 + (-24627/10)*z2^2*z5_3 + (98671/70)*z2^3*z3^2 + (194856756538/7882875)*z2^6 + (-211161/4)*z3*z9 + (-842935/6)*z5*z7 + (-70387/36)*z9_3,
E(yu,c,c,mu,yw,mu) = (-4671/2)*z2*z3*z7 + (-986)*z2*z5^2 + (704)*z2*z7_3 + (-27291/5)*z2^2*z3*z5 + (1977/5)*z2^2*z5_3 + (-45282/35)*z2^3*z3^2 + (-10701229801/2627625)*z2^6 + (154719/4)*z3*z9 + (103935/2)*z5*z7 + (17191/12)*z9_3,
E(yu,c,c,mv,c,yv) = (-449)*z2*z3*z7 + (-74)*z2*z5^2 + (463)*z2*z7_3 + (-15747/10)*z2^2*z3*z5 + (3873/10)*z2^2*z5_3 + (-19787/70)*z2^3*z3^2 + (-280035697/175175)*z2^6 + (18927/2)*z3*z9 + (22585)*z5*z7 + (701/2)*z9_3,
E(yu,mu,mu,b,mw,yw) = (4583)*z2*z3*z7 + (2061)*z2*z5^2 + (-2077/2)*z2*z7_3 + (204117/20)*z2^2*z3*z5 + (-8871/20)*z2^2*z5_3 + (351289/140)*z2^3*z3^2 + (35295608/4125)*z2^6 + (-73998)*z3*z9 + (-88915)*z5*z7 + (-8222/3)*z9_3,
E(yu,mu,yv,b,b,mu) = 0,
E(yu,mu,yw,yw,yw,mu) = (138201/4)*z2*z3*z7 + (64041/4)*z2*z5^2 + (-24447/4)*z2*z7_3 + (706617/10)*z2^2*z3*z5 + (-4707/2)*z2^2*z5_3 + (95304/5)*z2^3*z3^2 + (388367717327/3503500)*z2^6 + (-4333203/8)*z3*z9 + (-2404815/4)*z5*z7 + (-160489/8)*z9_3,
E(yu,mv,mw,a,yv,mv) = (4951/2)*z2*z3*z7 + (2443/2)*z2*z5^2 + (-167/2)*z2*z7_3 + (76581/20)*z2^2*z3*z5 + (237/4)*z2^2*z5_3 + (36857/28)*z2^3*z3^2 + (109817384717/10510500)*z2^6 + (-137961/4)*z3*z9 + (-56545/2)*z5*z7 + (-15329/12)*z9_3,
E(yu,mv,yw,yv,mw,yw) = (-87481/4)*z2*z3*z7 + (-41073/4)*z2*z5^2 + (12385/4)*z2*z7_3 + (-839781/20)*z2^2*z3*z5 + (19791/20)*z2^2*z5_3 + (-1664087/140)*z2^3*z3^2 + (-689995405543/10510500)*z2^6 + (2658087/8)*z3*z9 + (1390535/4)*z5*z7 + (295343/24)*z9_3,
E(yu,mw,a,mv,mv,yw) = 0,
E(yu,mw,yw,yv,yu,mw) = (45045)*z2*z3*z7 + (20847)*z2*z5^2 + (-7666)*z2*z7_3 + (181029/2)*z2^2*z3*z5 + (-29427/10)*z2^2*z5_3 + (49323/2)*z2^3*z3^2 + (1056576498463/7882875)*z2^6 + (-1397445/2)*z3*z9 + (-2307305/3)*z5*z7 + (-465815/18)*z9_3,
E(yu,yu,mv,a,a,mv) = (-1324)*z2*z3*z7 + (-672)*z2*z5^2 + (-178)*z2*z7_3 + (-5601/5)*z2^2*z3*z5 + (-789/5)*z2^2*z5_3 + (-21797/35)*z2^3*z3^2 + (4534785494/7882875)*z2^6 + (14556)*z3*z9 + (15500/3)*z5*z7 + (4852/9)*z9_3,
E(yu,yu,yu,mw,yv,mv) = (-4999/2)*z2*z3*z7 + (-849)*z2*z5^2 + (1807)*z2*z7_3 + (-18519/2)*z2^2*z3*z5 + (11577/10)*z2^2*z5_3 + (-113693/70)*z2^3*z3^2 + (-1567012597/121275)*z2^6 + (219435/4)*z3*z9 + (599825/6)*z5*z7 + (73145/36)*z9_3,
E(yu,yu,yw,mu,yw,mu) = (192015/4)*z2*z3*z7 + (87805/4)*z2*z5^2 + (-37325/4)*z2*z7_3 + (100920)*z2^2*z3*z5 + (-18948/5)*z2^2*z5_3 + (1840917/70)*z2^3*z3^2 + (520654781533/4504500)*z2^6 + (-6063045/8)*z3*z9 + (-10411775/12)*z5*z7 + (-2021015/72)*z9_3,
E(yu,yu,yw,mv,c,yv) = (4885/2)*z2*z3*z7 + (2533/2)*z2*z5^2 + (267)*z2*z7_3 + (24987/10)*z2^2*z3*z5 + (2763/10)*z2^2*z5_3 + (85961/70)*z2^3*z3^2 + (37485058397/4504500)*z2^6 + (-117069/4)*z3*z9 + (-78125/6)*z5*z7 + (-39023/36)*z9_3,
E(yu,yu,yw,mv,mv,yw) = (84115/2)*z2*z3*z7 + (37663/2)*z2*z5^2 + (-10035)*z2*z7_3 + (1894017/20)*z2^2*z3*z5 + (-90987/20)*z2^2*z5_3 + (3263233/140)*z2^3*z3^2 + (153464418694/1576575)*z2^6 + (-2744907/4)*z3*z9 + (-5025635/6)*z5*z7 + (-914969/36)*z9_3,
E(yu,yu,yw,yw,yw,yu) = (559473/4)*z2*z3*z7 + (199209/4)*z2*z5^2 + (-237011/4)*z2*z7_3 + (1447296/5)*z2^2*z3*z5 + (-256686/5)*z2^2*z5_3 + (5806179/70)*z2^3*z3^2 + (27393792681041/31531500)*z2^6 + (-18295923/8)*z3*z9 + (-44328805/12)*z5*z7 + (-6098641/72)*z9_3,
E(yu,yu,yw,yw,yw,yv) = (132028)*z2*z3*z7 + (45989)*z2*z5^2 + (-117129/2)*z2*z7_3 + (1103253/4)*z2^2*z3*z5 + (-1024899/20)*z2^2*z5_3 + (11008133/140)*z2^3*z3^2 + (315911168327/375375)*z2^6 + (-4342365/2)*z3*z9 + (-3586040)*z5*z7 + (-482485/6)*z9_3,
E(yu,yu,yw,yw,yw,yw) = (618011/4)*z2*z3*z7 + (225683/4)*z2*z5^2 + (-250271/4)*z2*z7_3 + (6420417/20)*z2^2*z3*z5 + (-1059507/20)*z2^2*z5_3 + (12777679/140)*z2^3*z3^2 + (28931562974011/31531500)*z2^6 + (-20198589/8)*z3*z9 + (-47745695/12)*z5*z7 + (-6732863/72)*z9_3,
E(yu,yv,b,b,mu,mu) = (-1222)*z2*z3*z7 + (-662)*z2*z5^2 + (-104)*z2*z7_3 + (-3141/2)*z2^2*z3*z5 + (-1461/10)*z2^2*z5_3 + (-47221/70)*z2^3*z3^2 + (5571456259/2252250)*z2^6 + (16455)*z3*z9 + (25670/3)*z5*z7 + (5485/9)*z9_3
]: