===================================================================================================================
Missed From ETC 

X(16025) -> {Sqrt[3]*F*(E+4*F)+(7*E-16*F)*S+4*Sqrt[3]*S^2,Sqrt[3]*(E+F)*(7*E+4*F)+(5*E+32*F)*S-12*Sqrt[3]*S^2}
X(16026) -> {Sqrt[3]*F*(E+4*F)-(7*E-16*F)*S+4*Sqrt[3]*S^2,Sqrt[3]*(E+F)*(7*E+4*F)-(5*E+32*F)*S-12*Sqrt[3]*S^2}
X(16041) -> {$a^4$,-6*S^2}
X(16042) -> {5*E-4*F,4*E+4*F}
X(16043) -> {(E+F)^2+S^2,-S^2}
X(16044) -> {(E+F)^2+S^2,4*S^2}
X(16045) -> {2*(E+F)^2,S^2}
X(16046) -> {a*b*c*(E+F)+$a$*((E+F)^2-2*S^2),3*$a$*S^2}
X(16047) -> {2*a*b*c*(E+F)-$a$*((E+F)^2-6*S^2)+6*$a*SB*SC$+3*$a*SA^2$-4*$a*SB*SC$,($a$)^2*(a*b*c-$a*SA$)}
X(16048) -> {$a$*($a*SB*SC$-a*b*c*(E+F)),2*(E+F)*S^2}
X(16049) -> {2*a*b*c+$a$*(E+2*F),-4*a*b*c-2*$a$*(E+F)}
X(16050) -> {a*b*c*(E+F)+a*b*c*((E+F)^2-2*S^2)+$a^3*SA$,$a$*S^2}
X(16051) -> {E-2*F,-E-F}
X(16052) -> {2*(E+F)*($a*b$+E+F)-S^2,-3*S^2}
X(16053) -> {2*(2*$a*b$+E+F)*(a*b*c+$a*SA$),($a$)^2*(a*b*c*-$a*SA$)}
X(16054) -> {a*b*c*(E+F)+$a$*S^2+$a*SA^2$+$a*SB*SC$,$a$*S^2}
X(16055) -> {2*(E+F)^3-3*(E-2*F)*S^2,-4*(E+F)*S^2}
X(16056) -> {E*S^2-$a*b*SA*SB$,$a*b$*S^2}
X(16057) -> {2*$a*b$-7*E,-2*$a*b$}
X(16058) -> {$a*b$+2*E,-$a*b$}
X(16059) -> {$a*b$-2*E,-$a*b$}
X(16060) -> {$a*b$*(E+F)+S^2,-S^2}
X(16061) -> {$a*b$*(E+F)-S^2,S^2}
X(16062) -> {($a$)^2*(E+F),-2*S^2}
X(16063) -> {3*E,-4*(E+F)}
X(16064) -> {$a*b$-E-2*F,-$a*b$+2*(E+F)}
X(16065) -> {(E+F)^3+3*F*S^2-3*(E+F)*S^2+(F-2*($a*b$+E+F))*S^2+$b*c*SA^2$,($a*b$+2*(E+F))*S^2}
X(16066) -> {2*$a$*F,-a*b*c-$a$*(E+F)+$a*SA$}
X(16067) -> {(E-2*F)*S^2+$a*b$*((E+F)^2-2*S^2)-$b*c*SA^2$+2*SumaCiclica[a*b*SA*SB],-2*(E+F)*S^2}
X(16183) -> {9*F*S^2,4*(E+F)^3+9*(-2*E+F)*S^2}
X(16190) -> {14*E*F-31*F^2-3*S^2,-15*E*F+39*F^2+3*S^2}
X(16199) -> {E^2+4*E*F+F^2,-((E+F)*(3*E+F))}
X(16245) -> {F,-(E+F)-Sqrt[(E+F)^2+S^2]}
X(16246) -> {F,E+F+Sqrt[(E+F)^2+S^2]}
X(16249) -> {Sqrt[3]*F*(E+F)-F*S,S*(Sqrt[3]*S+E+F)}
X(16250) -> {Sqrt[3]*F*(E+F)+F*S,S*(Sqrt[3]*S-(E+F))}
X(16273) -> {12*E*F-4*F^2-3*S^2,-4*F*(5*E+F)+5*S^2}
X(16274) -> {5*(3*E-32*F)^2,-135*E^2+2080*E*F-12160*F^2+128*S^2}
X(16281) -> {3*(E+F)^3-(10*E+F)*S^2,-9*(E+F)^3+3*(11*E-7*F)*S^2}
X(16286) -> {2*a*b*c+$a$*(3*E+F)+$a*SA$,-2*a*b*c-$a$*(E+F)-$a*SA$}
X(16287) -> {2*a*b*c+$a$*(2*E+F)+$a*SA$,-2*a*b*c-$a$*(E+F)-$a*SA$}
X(16288) -> {$a$*(7*E*S^2+$a*b$*(S^2+2*(E+F)^2)+$a*b*SA*SB$-2$b*c*SA^2$),-2*(a+b)*(a+c)*(b+c)*S^2}
X(16289) -> {$a$*(4*E*S^2+$a*b$*((E+F)^2+S^2)-$b*c*SA^2$+$a*b*SA*SB$),-2*(a+b)*(a+c)*(b+c)*S^2}
X(16290) -> {4*a*b*c+$a$*(3*E+F)+$a*SA$,-2*a*b*c-$a$*(E+F)-$a*SA$}
X(16291) -> {2*a*b*c+$a$*(E*E+F)+$a*SA$,-2*a*b*c-$a$*(E+F)-$a*SA$}
X(16292) -> {$a$*(2*S^2*(8*F*$a*b$+F*(E+F)+6*S^2)+a*b*c*(5*$a*SA^2+7$a*SB*SC$)+8*((E+F)^2-2*S^2)*$b*c*SA$-8*$b*c*SA^3$+5*$a^2*SA^3),-2*(a+b)*(a+c)*(b+c)*$a*b$*S^2}
X(16293) -> {a*b*c+2*$a$*E+$a*SA$,-a*b*c-$a*SA$}
X(16294) -> {a*b*c*(E-2*F)+2*F*$a*SA$-$a^2*SA$,2*F*(a*b*c-$a*SA$)+$a^3*SA$}
X(16295) -> {-a*b*c*(E+2*F)+2*F*$a*SA$-$a^3*SA$,2*F*(a*b*c-$a*SA$)+$a$*S^2-$a*SB*SC$}
X(16296) -> {2*a*b*c+$a$*(4*E+F)+$a*SA$,-2*a*b*c-$a$*(E+F)-$a*SA$};
X(16297) -> {2*a*b*c+$a$*(-2*E+F)+$a*SA$,-2*a*b*c-$a$*(E+F)-$a*SA$}
X(16298) -> {$a$*($a*b$*(2*(E+F)^2-3*S^2)-E*S^2+$a*b*SA*SB$-2*$b*c*SA^2$),2*(a+b)*(a+c)*(b+c)*S^2}
X(16299) -> {-$a$*(E*S^2+$a*b$*(2*(E+F)^2-S^2)+3$a*b*SA*SB$-2$b*c*SA^2$),2*(a+b)*(a+c)*(b+c)*S^2}
X(16300) -> {$a$*(9*E*S^2+$a*b$*(3*S^2+2*(E+F)^2)+3*$a*b*SA*SB$-2*$b*c*SA^2$),-6*(a+b)*(a+c)*(b+c)*S^2}
X(16301) -> {($a$)^3*(-2*(E^2+2*E*F+F^2+S^2)+$a*b$*(E+F)+$b*c*SA$),4*(a+b)*(a+c)*(b+c)*S^2}
X(16302) -> {$a$*(E*S^2+$a*b$*(S^2+2*(E+F)^2)+$a*b*SA*SB$-2$b*c*SA^2$),-2*(a+b)*(a+c)*(b+c)*S^2}
X(16340) -> {E^2+56*E*F-80*F^2-16*S^2,-7*E^2-104*E*F-16*F^2+48*S^2}
X(16342) -> {a*b*c+$a$*(E+F)+2*$a*SA$,a*b*c-$a*SA$}
X(16343) -> {-3*a*b*c-2*$a$*(E+F)-3*$a*SA$,-a*b*c+$a*SA$}
X(16344) -> {(5*E-2*F)*S^2+$a*b$*(2*(E+F)^2-S^2)+3*$a*b*SA*SB$-2*$b*c*SA^2$,(a*b*c-$a*SA$)*$a*SA$}
X(16345) -> {($a*b$+4*E)*S^2+2*$a*b$*(E+F)^2-2*$b*c*SA^2$,-$a*b$*S^2}
X(16346) -> {$a$*((2*E-F)*S^2+$a*b$*(E+F)^2+$a*b*SA*SB$-$b*c*SA^2$),-S^2*(a*b*c+$a*SA$)}
X(16347) -> {$a$*(2*$a$*(E+F)-3*$a$*(E+F)-3*$a*SA$),4*S^2}
X(16348) -> {($a*b$+3*E-F)*S^2+2*$a*b$*(E+F)^2-2*$b*c*SA^2$,-($a*b$-E-F)*S^2}
X(16349) -> {2*(4*a*b*c*(E+F)+$a$*((E+F)^2+5*S^2)+3*$a*SA^2$),($a$)^2*(a*b*c-$a*SA$)}
X(16350) -> {(5*E+3*F)*S^2+(6*(E+F)^2+S^2)*$a*b$+(E+F)*(2*(E+F)^2-3*$a*b*SC$)-$a*b*SC^2$,-($a*b$+E+F)*S^2}
X(16351) -> {$a$*(a*b*c+2*$a$*(E+F)+5*$a*SA$),-6*S^2}
X(16352) -> {(E-F+2*$a*b$)*S^2+((E+F)^2-2*S^2)*$a*b$-$a*b*SC^2$,(E+F)*S^2}
X(16353) -> {(3*E+F)*S^2+(E+F)^2*$a*b$-$b*c*SA^2$,-S^2*(E+F)}
X(16354) -> {S^2*(3*E*$a*b$+5*E^2+6*E*F+F^2+S^2)+((E+F)^2+2*S^2)*$a$*a*b*c,-S^2*((E+F)^2+S^2+a*b*c*)}
X(16355) -> {($a*b$+6*E)*S^2+3*$a*b$*(E+F)^2-3*$b*c*SA^2$,-$a*b$*S^2}
X(16356) -> {(E-2*F)*S^2+(S^2+(E+F)^2)*$a*b$-a*b*c*$a*SA$-$a*b*SC^2$,(E+2*F)*S^2-$a*b*SA*SB$}
X(16357) -> {$a$*(7*E*S^2+$a*b$*(2*(E+F)^2-S^2)+3*$a*b*SA*SB$-2*$b*c*SA^2$),-2*S^2*($a$*(E+F)+$a*SA$)}
X(16358) -> {((7*E+F)*S^2-2*(E+F)^3)*$a*b$+2*S^2*((E+F)^2+S^2)-(2*(E+F)^2+3*S^2)*$a*b*SC$+4*(E+F)*$a*b*SC^2$,S^2*(-2*((E+F)^2+S^2)+$a*b$*(E+F)+$a*b*SC$)};
X(16367) -> {2*$a$*S^2+$a*SA^2$,-$a$*S^2}
X(16368) -> {($a*b$+2*E+F)*S^2+(E+F)*($a*b$*(E+F)-$b*c*SA$),-($a*b$+E+F)*S^2}
X(16370) -> {3*a*b*c+$a$*E,-3*a*b*c}
X(16371) -> {3*a*b*c-$a$*E,-3*a*b*c}
X(16372) -> {(E+F)^2+S^2+(2*E+F)*$a*b$-$a*b*SC$,-(E+F)^2-S^2-$a*b$*(E+F)+$b*c*SA$}
X(16373) -> {$a*b$+3*E,-$a*b$}
X(16374) -> {$a$*(2*E+F)+$a*SA$,-$a$*(E+F)-$a*SA$}
X(16375) -> {2*(E^2-F^2-S^2)+$a*b*SC$+$a*b$(-E+F),2*((E+F)^2+S^2)-(E+F)*$a*b$-$b*c*SA$}
X(16376) -> {$a$*(E+F)*(3*a*b*c-2*$a*SA$),-2*($a*b$-2*(E+F))*S^2}
X(16377) -> {$a$*E*(E+F)-a*b*c*($a*b$+2*(E+F)),-a*b*c*($a*b$-2*(E+F))}
X(16378) -> {S^2*((E+F)^2+S^2-$a*b$*(2*F+E))+a*b*c*$a^3*SA$,-S^2*((E+F)^2+S^2-2*$a*b*SC$}
X(16379) -> {S^2*(S^2+(E+F)^2)-2*(E+F)*$a*b*SA*SB$,-S^2*((E+F)^2+S^2-2*$b*c*SA$)}
X(16380) -> {2*a*b*c*$a*b$-8*a*b*c*(E+F)+$a$*E*(E+F),-4*a*b*c**($a*b$-2*(E+F))};
X(16381) -> {(E+F)*(a*b*c*(E+F)-$a$*S^2+$a*SB*SC$),S^2*(-3*a*b*c+$a$*(E+F)-$a*SA$)}
X(16382) -> {-$a$*F*(E+F)-$a*SA^2$+2*$a*SB*SC$,((E+F)^2-2*S^2)*$a$-$a*SA^2$-2*$a*SB*SC$}
X(16383) -> {a*b*c*($a*b$-6*(E+F))+$a$*E*(E+F),-3*a*b*c*($a*b$-2*(E+F))}
X(16384) -> {a*b*c*(5*$a*b$-6*(E+F))-$a$*E*(E+F),-3*a*b*c*($a*b$-2*(E+F))}
X(16386) -> {E-6*F,-2*E+10*F}
X(16387) -> {E^2-2*E*F-12*F^2,-2*E^2+2*E*F+4*F^2}
X(16393) -> {3*a*b*c*+$a$*(E+F)-2*$a*SA$,-3*a*b*c*+3*$a*SA$}
X(16394) -> {$a$*(3*a*b*c*+2*$a$*(E+F)-$a*SA$),6*S^2}
X(16395) -> {-$a*b$*((E+F)^2-3*S^2)+$b*c*SA^2$,-3*$a*b$*S^2}
X(16396) -> {$a*b$*(2*(E+F)^2-3*S^2)-2*$b*c*SA^2$,3*$a*b$*S^2}
X(16397) -> {$a$*(6*a*b*c+$a$*(E+F)-5*$a*SA$),12*S^2}
X(16398) -> {(3*E+3*F)*S^2+$a*b$*(2*(E+F)^2-3*S^2)-2*$b*c*SA^2$,3*($a*b$-E-F)*S^2}
X(16399) -> {8*a*b*c*(E+F)+2*$a$*((E+F)^2-S^2)+2*$a*SA^2$,-3*($a$)^2*(a*b*c-$a*SA$)}
X(16400) -> {$a$*($a*b$*(2*(E+F)^2-3*S^2)-3*E*S^2-2*$a*b*SC^2$-3*$a*b*SA*SB$),6*(a+b)*(a+c)*(b+c)*S^2}
X(16401) -> {9*a*b*c+2*$a$*(E+F)-7*$a*SA$,9*($a*SA$-a*b*c)}
X(16402) -> {9*a*b*c-2*$a$*(E+F)-11*$a*SA$,9*($a*SA$-a*b*c)}
X(16403) -> {3*(E+F)*S^2+$a*b$*(E+F)^2-$a*b*SC^2$,-3*(E+F)*S^2}
X(16404) -> {-3*(E+F)*S^2+$a*b$*(E+F)^2-$a*b*SC^2$,3*(E+F)*S^2}
X(16405) -> {$a*b$*((E+F)^2-S^2)-$a*b*SC^2$,$a*b$*S^2}
X(16406) -> {3*(E+2*F)*S^2+a*b*c*$a^3$-5*$a*b*SA*SB$+2*S^2*$a*b$,-3*(E+2*F)*S^2+3*$a*b*SA*SB$}
X(16407) -> {8*(E+F)^3+2*(10*E+3*F)*S^2+(26*(E+F)^2+3*S^2)*$a*b$-14*(E+F)*$a*b*SC$-4*$a*b*SC^2$,($a*b$+2*(E+F))*S^2}
X(16408) -> {a*b*c-2*$a$*E,-a*b*c}
X(16409) -> {$a*b$-4*E,-$a*b$}
X(16410) -> {$a$*(-(2*E+F)*S^2+$a*b*SA*SB$),-S^2*(a*b*c+$a*SA$)}
X(16411) -> {$a*b$-5*E-F,-$a*b$+E+F}
X(16412) -> {$a$*S^2+2*$a*SA^2$,$a$*S^2}
X(16413) -> {($a*b$-E+F)*S^2-2*(E+F)*($a*b$*(E+F)-$b*c*SA$),-($a*b$+E+F)*S^2}
X(16414) -> {2*(a*b*c+F*$a$)-$a^3$,-2*a*b*c-$a$*(E+F)-$a*SA$}
X(16415) -> {$a^3$-2*F*$a$,2*a*b*c+$a*SA$+$a$*(E+F)}
X(16416) -> {$a$*((4*E-F)*S^2+2*$a*b$*(E+F)^2+$a*b*SA*SB$-2*$b*c*SA^2$),-S^2*(a*b*c+$a*SA$)}
X(16417) -> {3*a*b*c-2*$a$*E,-3*a*b*c}
X(16418) -> {3*a*b*c+2*$a$*E,-3*a*b*c}
X(16419) -> {3*E+F,-E-F}
X(16420) -> {(E+F)^2+S^2-(E-F)*$a*b$-$a*b*SC$,-S^2-(E+F)^2-a*b*c*$a$};
X(16421) -> {$a*b$-6*E,-$a*b$}
X(16427) -> {3*a*b*c-$a$*(E-2*F),-3*a*b*c-2*$a$*(E+F)}
X(16428) -> {$a$*(E-2*F),3*a*b*c+2*$a$*(E+F)}
X(16429) -> {3*E*S^2*$a$+a*b*c*(2*(E+F)^2-S^2)+2*(E+F)*$a*SA^2$,(3*a*b*c+2*$a$*(E+F))*S^2}
X(16430) -> {S^2*$a$*(5*E+2*F)+a*b*c*(2*(E+F)^2+5*S^2+2*(E+F)*$a*b$),-3*a*b*c*S^2-2*$a$*(E+F)*S^2}
X(16431) -> {2*a*b*c*(E+F)-3*$a$*S^2,3*$a$*S^2}
X(16432) -> {2*a*b*c+$a$*S,-$a$*S}
X(16433) -> {2*a*b*c-$a$*S,$a$*S}
X(16434) -> {2*a*b*c-$a$*(E+F),$a$*(E+F)}
X(16435) -> {2*(*a*b*c+2*$a$*(E+F)+$a*SA$),-($a$)^3}
X(16436) -> {2*a*b*c*(E+F)+3*$a$*S^2,-3*$a$*S^2}
X(15437) -> {4*(E+F)^3+(9*E+2*F)*S^2+(13*(E+F)^2+S^2)*$a*b$-7*(E+F)*$a*b*SC$-2*$a*b*SC^2$,($a*b$+2*(E+F))*S^2}
X(15438) -> {4*(E-F)*S^2-4*$a*b*SA*SB$,-($a$)^3*(a*b*c-$a*SA$)}
X(15439) -> {($a*b$+3*E+F)*S^2+$a*b$*S^2-$a*b*SA*SB$,-($a*b$+E+F)*S^2}
X(15440) -> {a*b*c+$a$*S,-$a$*S}
X(15441) -> {a*b*c-$a$*S,$a$*S}
X(15442) -> {(2*a*b*c-$a$*(E+5*F))*S^2+(2*(E+F)^2+S^2)*$a*SA$-4*(E+F)*$a*SA^2$,$a^3$*S^2+2*(E+F)^2*(a*b*c-$a*SA$)}
X(15443) -> {2*S^2*(S^2+F*(E+F)-2*F*$a*b$)+(2*S^2-(E+F)^2)*$b*c*SA$+$a*b*SC^3$+a*b*c*(5*$a*SB*SC$-4$a*SA^2$),-S^2*(2*(E+F)^2+2*S^2-$a*b$*(E+F)-$a*b*SC$)}
X(15444) -> {($a*b$-2*E-2*F)*(3*E-F)+2*S^2-$a*b*SC$,-2*(E+F)^2-2*S^2+$a*b$*(E+F)+$a*b*SC$}
X(15445) -> {4*(E+F)^3+(13*E+6*F)*S^2+$a*b$*(13*(E+F)^2+3*S^2)-7*(E+F)*$a*b*SC$-2*$a*b*SC^2$,-($a*b$+2*(E+F))*S^2}
X(15446) -> {($a*b$-2*E-2*F)*(5*E-F)+2*S^2-$a*b*SC$,$a*b$*(E+F)-2*(E+F)^2-2*S^2+$a*b*SC$}
X(16447) -> {2*S^2*(F*(E+F)+2*S^2)-2*F*S^2*$a*b$+$a^2*SA^3$-3*a*b*c*$a*SB*SC$,-(a*b*c-$a*SA$)*($a*SA^2$-$a*SB*SC$)}
X(16448) -> {3*a*b*c*E+$a$*(2*S^2-E*(E+F))-(E+2*F)*$a*SA$,-2*$a$*S^2+2*(E+F)*$a*SA$}
X(16449) -> {3*a*b*c*E-$a$(E*(E+F)+S^2)+(2*E+F)*$a*SA$,$a$*S^2-(E+F)*$a*SA$}
X(16450) -> {3*a*b*c*E-$a$((E+F)^2-S^2)+F*$a^3$,$a*SA^2$-$a*SB*SC$}
X(16451) -> {4*a*b*c+(E+2*F)*$a$+2*$a*SA$,-4*a*b*c-2*(E+F)*$a$-2*$a*SA$}
X(16452) -> {$a$*(2*E*S^2+a*b*c*$a*SA$+2*$a*b*SA*SB$),-2*(a+b)*(a+c)*(b+c)*S^2}
X(16453) -> {2*a*b*c+$a$*F+$a*SA$,-2*a*b*c-(E+F)*$a$-$a*SA$}
X(16454) -> {3*a*b*c+$a$*(E+F),-a*b*c+$a*SA$}
X(16455) -> {4*a*b*c+(2*E+F)*$a$+$a*SA$,-2*a*b*c-(E+F)*$a$-$a*SA$}
X(16456) -> {($a$)^2*(3*$a*b$+E+F),2*S^2}
X(16457) -> {-7*a*b*c-4*(E+F)*$a$-5*$a*SA$,-a*b*c+$a*SA$}
X(16458) -> {5*a*b*c+2*$a$*(E+F)+$a*SA$,-a*b*c+$a*SA$}
X(16542) -> {F^3,-E^3-F^3}
X(16617) -> {3*$a*SA$,4*a*b*c-$a*SA$}
X(16619) -> {3*E+12*F,-13*E-4*F}
X(16660) -> {45*E^3+424*E^2*F+1312*E*F^2+1280*F^3+224*E*S^2+768*F*S^2,-135*E^3-504*E^2*F-352*E*F^2+256*F^3+864*E*S^2+1792*F*S^2}
X(16661) -> {5*E+4*F,-8*E-4*F}
X(16842) -> {a*b*c+3*$a$*E,-a*b*c}
X(16843) -> {$a$*S^2*(9*E+5*F)+a*b*c*(4*(E+F)^2+3*S^2)+4*(E+F)*$a*SA^2$,-($a$*(E+F)+a*b*c)*S^2}
X(16844) -> {$a$*(5*a*b*c+2*$a$*(E+F)+3*$a*SA$),-2*S^2}
X(16845) -> {2*(a*b*c+$a$*E),-a*b*c}
X(16846) -> {$a$*(5*a*b*c*(E+F)+4*$a$*S^2+$a*SB*SC$+3*$a*SA^2$),-2*$a*b$*S^2}
X(16847) -> {$a$*(($a*b$+5*E+2*F)*S^2+4*$a*b$*(E+F)^2-$a*b*SA*SB$-4*$a*b*SC^2$),-2*(3*a*b*c+$a$*(E+F))*S^2}
X(16848) -> {$a$*(7*E*S^2+$a*b$*(4*(E+F)^2-S^2)+3*$a*b*SA*SB$-4*$a*b*SC^2$),-2*(a+b)*(a+c)*(b+c)*S^2}
X(16849) -> {$a$*(E+F-$a*b$)*(2*a*b*c+$a$*(E+F)),2*(E+F)*S^2}
X(16850) -> {$a$*($a*b$-E-F)*(a*b*c+$a$*(E+F)+$a*SA$),-2*$a*b$*S^2}
X(16851) -> {$a$*(4*a*b*c*(E+F)+$a$*S^2+2*$a*SB*SC$),-2*($a*b$-E-F)*S^2}
X(16852) -> {$a$*(3*a*b*c*(E+F)+$a$*S^2+$a*SA^2$+$a*SB*SC$),2*(E+F)*S^2}
X(16853) -> {a*b*c+4*$a$*E,-a*b*c}
X(16854) -> {a*b*c+5*$a$*E,-a*b*c}
X(16855) -> {a*b*c+6*$a$*E,-a*b*c}
X(16856) -> {a*b*c+7*$a$*E,-a*b*c}
X(16857) -> {3*a*b*c+4*$a$*E,-3*a*b*c}
X(16858) -> {6*a*b*c+5*$a$*E,-6*a*b*c}
X(16859) -> {4*a*b*c+5*$a$*E,-4*a*b*c}
X(16860) -> {5*a*b*c+6*$a$*E,-5*a*b*c}
X(16861) -> {6*a*b*c+7*$a$*E,-6*a*b*c}
X(16862) -> {a*b*c-3*$a$*E,-a*b*c}
X(16863) -> {a*b*c-4*$a$*E,-a*b*c}
X(16864) -> {a*b*c-5*$a$*E,-a*b*c}
X(16865) -> {4*a*b*c+3*$a$*E,-4*a*b*c}
X(16866) -> {5*a*b*c+4*$a$*E,-5*a*b*c}
X(16876) -> {F*$a*b$+$a*b*SC$,-(E+F)*$a*b$-$a*b*SC$}
X(16895) -> {5*(E+F)^2-S^2,2*S^2}
X(16896) -> {9*(E+F)^2-S^2,2*S^2}
X(16897) -> {7*(E+F)^2+S^2,-2*S^2}
X(16898) -> {3*(E+F)^2-S^2,2*S^2}
X(16899) -> {9*(E+F)^2+3*S^2+8*$a*b$*(E+F)+8*a*b*c*$a$,2*S^2}
X(16900) -> {7*(E+F)^2+5*S^2+8*$a*b$*(E+F)+8*a*b*c*$a$,-2*S^2}
X(16901) -> {17*(E+F)^2+7*S^2+16*$a*b$*(E+F)+16*a*b*c*$a$,2*S^2}
X(16902) -> {15*(E+F)^2+9*S^2+16*$a*b$*(E+F)+16*a*b*c*$a$,-2*S^2}
X(16903) -> {5*(E+F)^2+S^2+4*$a*b$*(E+F)+4*a*b*c*$a$,2*S^2}
X(16904) -> {3*((E+F)^2+S^2)+4*$a*b$*(E+F)+4*a*b*c*$a$,-2*S^2}
X(16905) -> {3*((E+F)^2-S^2)+$a*b$*(E+F)+$a*b*SC$,2*S^2}
X(16906) -> {(E+F)^2+$a*b$*(E+F)-S^2+$a*b*SC$,-2*S^2}
X(16907) -> {5*((E+F)^2-S^2)+2*$a*b$*(E+F)+2*$a*b*SC$,2*S^2}
X(16908) -> {3*((E+F)^2-S^2)+2*$a*b$*(E+F)+2*$a*b*SC$,-2*S^2}
X(16909) -> {4*((E+F)^2-S^2)+$a*b$*(E+F)+$a*b*SC$,4*S^2}
X(16910) -> {$a*b$*(E+F)+$a*b*SC$,-4*S^2}
X(16911) -> {4*a*b*c*$a$+7*S^2+3*((E+F)^2-2*S^2),2*S^2}
X(16912) -> {E*(3*S^2+(E+F)^2+4*a*b*c*$a$),-2*E*S^2}
X(16913) -> {2*a*b*c*$a$+3*(E+F)^2-S^2,4*S^2}
X(16914) -> {2*a*b*c*$a$+3*S^2-(E+F)^2,-4*S^2}
X(16915) -> {a*b*c*$a$+(E+F)^2-S^2,2*S^2}
X(16916) -> {$a^4$-2*a*b*c*$a$,4*S^2}
X(16917) -> {$a^4$+4*a*b*c*$a$,4*S^2}
X(16918) -> {(E+F)^2-S^2-2*a*b*c*$a$,2*S^2}
X(16919) -> {a*b*c*$a$+2*((E+F)^2-S^2),4*S^2}
X(16920) -> {a*b*c*$a$-2*((E+F)^2-S^2),-4*S^2}
X(16921) -> {(E+F)^2+3*S^2,2*S^2}
X(16922) -> {(E+F)^2+7*S^2,2*S^2}
X(16923) -> {(E+F)^2-9*S^2,2*S^2}
X(16924) -> {(E+F)^2+S^2,2*S^2}
X(16925) -> {(E+F)^2-3*S^2,2*S^2}
X(16926) -> {3*(E+F)^2+S^2+2*$a*b*SC$+5*a*b*c*$a$,2*S^2}
X(16927) -> {(E+F)^2+3*S^2+5*$a*b$*(E+F)-3*$a*b*SC$,-2*S^2}
X(16928) -> {5*(E+F)^2+3*S^2+10*$a*b$*(E+F)-6*$a*b*SC$,2*S^2}
X(16929) -> {3*(E+F)^2+5*S^2+4*$a*b$*(E+F)+6*a*b*c*$a$,-2*S^2}
X(16930) -> {5*(E+F)*$a*b$+4*(E+F)^2-3*$a*b*SC$,4*S^2}
X(16931) -> {5*(E+F)*$a*b$+4*S^2-3*$a*b*SC$,-4*S^2}
X(16932) -> {2*(E+F)^3-(E+2*F)*S^2,4*(E+F)*S^2}
X(16949) -> {2*(E+F)^3-(3*E+2*F)*S^2,4*(E+F)*S^2}
X(16950) -> {(E+F)^3-F*S^2,2*(E+F)*S^2}
X(16951) -> {(E+F)^3-(2*E+F)*S^2,2*(E+F)*S^2}
X(16952) -> {4*(E+F)^3-(3*E+4*F)*S^2,8*(E+F)*S^2}
X(16953) -> {4*(E+F)^3-(5*E+4*F)*S^2,8*(E+F)*S^2}
X(16954) -> {E*S^2+$a*b$*((E+F)^2-S^2),2*$a*b$*S^2}
X(16955) -> {E*S^2-$a*b$*((E+F)^2-S^2),-2*$a*b$*S^2}
X(16956) -> {2*E*S^2+$a*b$*((E+F)^2-S^2),2*$a*b$*S^2}
X(16957) -> {2*E*S^2-$a*b$*((E+F)^2-S^2),-2*$a*b$*S^2}
X(16958) -> {E*S^2+2*$a*b$*((E+F)^2-S^2),4*$a*b$*S^2}
X(16959) -> {E*S^2-2*$a*b$*((E+F)^2-S^2),-4*$a*b$*S^2}
X(16976) -> {E-7*F,-E+5*F}
X(16977) -> {E^2-5*E*F-12*F^2,-E^2+3*E*F+4*F^2}
X(17226) -> {4*F*(E+7*F)-S^2,-96*F^2}
X(17504) -> {17,-15}
X(17506) -> {12*F,-E-12*F}
X(17511) -> {E^2+20*E*F-8*F^2-8*S^2,-4*E^2-44*E*F-40*F^2+24*S^2}
X(17512) -> {a*b*c*((E+F)^2+2*S^2)+2*(E+F)*$a$*S^2+(E+F)*a*b*c*$a*b$,(-3*a*b*c*-2*$a$*(E+F))*S^2}
X(17513) -> {a*b*c*(E+F)^2+$a$*(2*E+5*F)*S^2+(E+F)*$a*SA^2$,-3*a*b*c*S^2-4*$a$*(E+F)*S^2}
X(17514) -> {7*a*b*c*+7*$a*SA$*+4*$a^3$*,a*b*c*-$a*SA$*}
X(17515) -> {F*(a*b*c*$a$+4*S^2),-S^2*(E+4*F)-a*b*c*$a*SA$};
X(17516) -> {$a$*F,4*a*b*c*-$a$*(E+F)}
X(17517) -> {2*S^2*(E^2+4*E*F+3*F^2-S^2)+a*b*c*$a$*((E+F)^2-S^2),2*S^2*(S^2-2*E^2-5*E*F-3*F^2)+2*(E+F)*($a*b*SA*SB$-S^2*$a*b$)}
X(17518) -> {(E+F)*a*b*c*$a$+2*(F*S^2+$a^2*SA^2$),2*(F*S^2+$a*b$*S^2-$a*b*SA*SB$)}
X(17519) -> {a*b*c*(2*a*b*c*+$a$*F)-2*(E+F)*S^2,2*($a*b$+E+F)*S^2-2*$a*b*SA*SB$}
X(17520) -> {$a^3$*F,-a*b*c*(E+2*F)-$a$*(E+F)^2+F*$a*SA$};
X(17521) -> {$a$*(2*($a*b$+E+2*F)*S^2+$a*b$*(E+F)^2-2*$a*b$*S^2-$a*b*SC^2$),-4*(a*b*c+$a$*(E+F))*S^2}
X(17522) -> {$a*SB*SC$-(E+F)*$a*SA$,-2*(E+F)*(a*b*c-$a*SA$)}
X(17523) -> {3*$a$*F,-2*a*b*c-3*$a$*(E+F)}
X(17524) -> {4*a*b*c+(2*E+F)*$a$+$a*SA$,-4*a*b*c-(E+F)*$a$-$a*SA$}
X(17525) -> {3*a*b*c*$a$+7*S^2,-9*S^2}
X(17526) -> {$a$*$a^3$,2*S^2}
X(17527) -> {a*b*c-2*$a$*E,a*b*c}
X(17528) -> {a*b*c+2*$a$*E,3*a*b*c}
X(17529) -> {a*b*c+3*$a$*E,a*b*c}
X(17530) -> {3*a*b*c+$a$*E,3*a*b*c}
X(17531) -> {2*a*b*c-3*$a$*E,-2*a*b*c}
X(17532) -> {a*b*c+$a$*E,3*a*b*c}
X(17533) -> {3*a*b*c-$a$*E,3*a*b*c}
X(17534) -> {2*a*b*c+7*$a$*E,-2*a*b*c}
X(17535) -> {2*a*b*c-5*$a$*E,-2*a*b*c}
X(17536) -> {2*a*b*c+5*$a$*E,-2*a*b*c}
X(17537) -> {$a$*$a^3$,12*S^2}	
X(17538) -> {4,-7}
X(17539) -> {$a$*(2*a*b*c+$a$*(E+F)-3*$a*SA$),8*S^2}
X(17540) -> {3*S^2+2*((E+F)^2-2*S^2)-a*b*c*$a$,S^2}
X(17541) -> {a*b*c*$a$-2*(E+F)^2,-2*S^2}
X(17542) -> {3*a*b*c+5*$a$*E,-3*a*b*c}
X(17543) -> {10*a*b*c+9*$a$*E,-10*a*b*c}
X(17544) -> {8*a*b*c+9*$a$*E,-8*a*b*c}
X(17545) -> {5*a*b*c+7*$a$*E,-5*a*b*c}
X(17546) -> {2*a*b*c+9*$a$*E,-2*a*b*c}
X(17547) -> {6*a*b*c+11*$a$*E,-6*a*b*c}
X(17548) -> {8*a*b*c+$a$*E,-8*a*b*c}
X(17549) -> {6*a*b*c+$a$*E,-6*a*b*c}
X(17550) -> {a*b*c*$a$+2*(E+F)^2,-2*S^2}
X(17551) -> {8*a*b*c+4*$a$*(E+F)+3*$a*SA$,-a*b*c+$a*SA$}
X(17552) -> {2*a*b*c+3*$a$*E,-a*b*c}
X(17553) -> {$a$*(4*a*b*c+2*$a$*(E+F)+5*$a*SA$),-6*S^2}
X(17554) -> {3*a*b*c+4*$a$*E,-2*a*b*c}
X(17555) -> {$a$*F,a*b*c-$a*SA$}
X(17556) -> {a*b*c-$a$*E,3*a*b*c}
X(17557) -> {$a$*(4*a*b*c+2*$a$*(E+F)+3*$a*SA$),-2*S^2}
X(17558) -> {3*a*b*c+2*$a$*E,-2*a*b*c}
X(17559) -> {2*$a$*E,-a*b*c}
X(17560) -> {2*a*b*c+$a$*(E-F),-a*b*c+$a$*(E+F)}
X(17561) -> {4*a*b*c+3*$a$*E,-3*a*b*c}
X(17562) -> {2*$a$*F,-a*b*c-2*$a$*(E+F)}
X(17563) -> {3*a*b*c-2*$a$*E,-5*a*b*c}
X(17564) -> {5*a*b*c-2*$a$*E,-3*a*b*c}
X(17565) -> {2*a*b*c*$a$-(E+F)^2-S^2,4*S^2}
X(17566) -> {6*a*b*c-$a$*E,-2*a*b*c}
X(17567) -> {2*a*b*c-$a$*E,-a*b*c}
X(17568) -> {2*(E-3*F)*S^2+(E+F)*a*b*c*$a$,2*(E+3*F)*S^2+4*($a*b$*S^2-$a*b*SA*SB$)}
X(17569) -> {2*F*S^2*(a*b*c*$a$+(E+F)^2+S^2),-S^2*((E+F)^2*(E+2*F)+(-E+2*F)*S^2)-((E+F)^2-S^2)*($a*b$*S^2-$a*b*SA*SB$)}
X(17570) -> {4*a*b*c+7*$a$*E,-4*a*b*c}
X(17571) -> {5*a*b*c+2*$a$*E,-5*a*b*c}
X(17572) -> {4*a*b*c-3*$a$*E,-4*a*b*c}
X(17573) -> {5*a*b*c-2*$a$*E,-5*a*b*c}
X(17574) -> {10*a*b*c+3*$a$*E,-10*a*b*c}
X(17575) -> {a*b*c-3*$a$*E,a*b*c}
X(17576) -> {3*a*b*c+$a$*E,-4*a*b*c}
X(17577) -> {2*a*b*c+$a$*E,6*a*b*c}
X(17578) -> {1,-8}
X(17579) -> {2*a*b*c-$a$*E,-6*a*b*c}
X(17580) -> {a*b*c-2*$a$*E,-2*a*b*c}
X(17581) -> {$a$*(a*b*c*(E+F)+$a$*S^2+$a*SA^2$+$a*SB*SC$),(a*b*c+$a$*(E+F))*($a*SA$-a*b*c)}
X(17582) -> {2*$a$*E,a*b*c}
X(17583) -> {5*a*b*c-3*$a$*E,-7*a*b*c}
X(17584) -> {2*a*b*c+$a$*(E-2*F),-4*a*b*c-2*$a*SA$}
X(17585) -> {2*a*b*c+$a$*(E-6*F),-8*a*b*c-6*$a*SA$}
X(17586) -> {2*a*b*c+$a$*(E-4*F),-6*a*b*c-4*$a*SA$}
X(17587) -> {2*(E+F)^3-(E+2*F)*S^2+4*$a*b$*((E+F)^2-S^2)+2*$a*b*SA*SB$-2*$b*c*SA^2$,4*($a*b$+E+F)*S^2}
X(17588) -> {2*a*b*c+$a$*(E+F)+3*$a*SA$,2*a*b*c-2*$a*SA$}
X(17589) -> {6*a*b*c+3*$a$*(E+F)+$a*SA$,-2*a*b*c+2*$a*SA$}
X(17590) -> {3*a*b*c+5*$a$*E,-a*b*c}
X(17669) -> {a*b*c*$a$+(E+F)^2-S^2,-2*S^2}
X(17670) -> {a*b*c*$a$-(E+F)^2,S^2}
X(17671) -> {(E+F)^2-$a*b*SC$,-S^2}
X(17672) -> {3*a*b*c*$a$-2*(E+F)^2+2*$a*b*SC$,2*S^2}
X(17673) -> {(E+F)^2-S^2+2*$a*b*SC$,-2*S^2}
X(17674) -> {3*a*b*c-$a$*(E+F),-a*b*c+$a*SA$}
X(17675) -> {2*(E+F)^2-S^2-2*$a*b*SC$,-S^2}
X(17676) -> {$a$*($a$*(E+F)+$a*SA$),-4*S^2}
X(17677) -> {$a$^2*(E+F),-6*S^2}
X(17678) -> {(E+F)^2+$a*b*SC$,-3*S^2}
X(17679) -> {3*a*b*c-$a$*(E+F),-3*a*b*c+3*$a*SA$}
X(17680) -> {$a*b*SC$,-2*S^2}
X(17681) -> {(E+F)*(E+F-$a*b$),S^2}
X(17682) -> {(E+F)^2-$a*b*SC$,S^2}
X(17683) -> {2*(E+F)^2+$a*b$*(E+F)-3*$a*b*SC$,2*S^2}
X(17684) -> {a*b*c*$a$+(E+F)^2+3*S^2,-2*S^2}
X(17685) -> {($a*b$)^2,-4*S^2}
X(17686) -> {a*b*c*$a$+2*(E+F)^2,2*S^2}
X(17687) -> {(E+F)^2+2*S^2+$a*b$*(E+F)-2*$a*b*SC$,-S^2}
X(17688) -> {(E+F)*(2*$a*b$+E+F)-S^2,2*S^2}
X(17689) -> {(E+F)^2+5*S^2+4*a*b*c*$a$+2*$a*b*SC$,-4*S^2}
X(17690) -> {$a$*(E+F)-4*a*b*c+$a*SA$,4*(a*b*c-$a*SA$)}
X(17691) -> {($a*b$-E-F)*(E+F)+S^2,-2*S^2}
X(17692) -> {a*b*c*$a$+3*S^2-(E+F)^2,-4*S^2}
X(17693) -> {(E+F)^2-3*S^2+a*b*c*$a$,4*S^2}
X(17694) -> {a*b*c*$a$+(E+F)^2-2*S^2,S^2}
X(17695) -> {(E+F)^2+5*S^2-2*$a*b*SC$,-4*S^2}
X(17696) -> {$a*b*SC$-2*S^2,2*S^2}
X(17697) -> {$a$*($a^3$-a*b*c),4*S^2}
X(17698) -> {2*(E+F)*($a*b$+E+F)-S^2,2*S}
X(17714) -> {3*E+8*F,-9*E-8*F}
X(17727) -> {3*E^2-24*E*F-64*F^2-64*S^2,-9*E^2-56*E*F-64*F^2-64*S^2}
X(17800) -> {5,-13}


===================================================================================================================
The Shinagawa coefficients of points X(i), i=16179,16180,16181,16182 are incorrect on ETC. The correct Shinagawa coefficients are:

X(16179) -> {-6*(3*(E+F)*F-S^2)+Sqrt[3]*(E-8*F)*S,6*((E+F)^2-3*S^2)+3*Sqrt[3]*(E-8*F)*S}
X(16180) -> {6*Sqrt[3]*F*(E+F)+(E-8*F)*S-2*Sqrt[3]*S^2,-2*Sqrt[3]*(F^2+E*(E+2*F))+3*(E-8*F)*S+6*Sqrt[3]*S^2}
X(16181) -> {6*F*(E+F)-Sqrt[3]*(E-8*F)*S-2*S^2,-2*(F^2+E*(E+2*F))+Sqrt[3]*(E-8*F)*S+6*S^2}
X(16182) -> {6*F*(E+F)+Sqrt[3]*(E-8*F)*S-2*S^2,-2*(F^2+E*(E+2*F))-Sqrt[3]*(E-8*F)*S+6*S^2}


===================================================================================================================
ThE Shinagawa coefficients of the following points are simpler than those reported on ETC.

X(16117) -> {-3*a*b*c-2*$a*SA$,7*a*b*c+2$a*SA$}
X(16160) -> {*a*b*c-2*$a*SA$,-7*a*b*c+2$a*SA$}