===================================================================================================================
Missed from ETC 

X(10011) -> {(E+F)^2-4*S^2,(E+F)^2}
X(10018) -> {6*F,-E-2*F}
X(10019) -> {3*F,-E+7*F}
X(10020) -> {E+12*F,-3*E-4*F}
X(10021) -> {a*b*c+6*$a*SA$,5*a*b*c-2*$a*SA$}
X(10024) -> {E+4*F,-E+4*F}
X(10096) -> {E+24*F,-11*E-8*F}
X(10109) -> {13,9}
X(10124) -> {17,-3}
X(10125) -> {E+24*F,-3*E-8*F}
X(10126) -> {9*E^2-16*E*F-64*F^2-128*S^2,-27*E^2-80*E*F-64*F^2+128*S^2}
X(10127) -> {3*E-2*F,3*E+6*F}
X(10128) -> {3*E-F,3*(E+F)}
X(10151) -> {F,-E+5*F}
X(10201) -> {E+8*F,-3*E}
X(10204) -> {4*(E+F)^3+3*(E+4*F)*S^2,-4*(E+F)^3+3*(5*E-4*F)*S^2}
X(10205) -> {9*E^2-32*F^2-96*S^2,-27*E^2-64*E*F-32*F^2+160*S^2}
X(10210) -> {3*E,-12(E+F)-4*Sqrt[3]*S}
X(10212) -> {E-56*F,-3*E+40*F}
X(10221) -> {(F)^(1/3),-(E)^(1/3)-(F)^(1/3)}
X(10223) -> {E^2+20*E*F-8*(F^2+S^2),-11*E^2+4*E*F+24*(F^2+S^2)}
X(10226) -> {E-16*F,-3*E+16*F}
X(10237) -> {2*F*(E+F)-(E-4*F)*S-2*S^2,-2*(E+F)^2-(3*E+4*F)*S+2*S^2}
X(10239) -> {2*F*(E+F)+(E-4*F)*S-2*S^2,-2*(E+F)^2+(3*E+4*F)*S+2*S^2}
X(10243) -> {E^2+4*E*F+2*F^2,-3*E^2-4*E*F-2*F^2}
X(10285) -> {(3*E+8*F)^2,-27*E^2-80*E*F-64*F^2+128*S^2}
X(10286) -> {9*E^3-40*E^2*F-384*E*F^2-512*F^3-320*E*S^2-1024*F*S^2,-27*E^3-264*E^2*F-640*E*F^2-512*F^3+192*E*S^2+1024*F*S^2}
X(10289) -> {9*E^2-48*E*F-128*F^2-192*S^2,-27*E^2-112*E*F-128*F^2+64*S^2}
X(10295) -> {6*F,-E-10*F}
X(10296) -> {E+4*F,-2*E-20*F}
X(10297) -> {E-2*F,-E-10*F}
X(10298) -> {E+8*F,-2*E-8*F}
X(10299) -> {6,-5}
X(10300) -> {5*E-F,-5*(E+F)}
X(10301) -> {3*F,-5*(E+F)}
X(10304) -> {5,-6}
X(10323) -> {2*E+2*F,-3*E-2*F}
X(10431) -> {a*b*c,-3*a*b*c-$a*SA$}
X(10486) -> {(E+F)^2-9*S^2,-2*(E+F)^2}
X(10565) -> {E+3*F,-2*(E+F)}
X(10594) -> {2*F,-3*E-2*F}
X(10683) -> {(5*E+28*F+9*$a*b$)*S^2+7$a*b*SA*SB$,-3*((E-4*F+$a*b$)*S^2-$a*b*SA*SB$)}
X(10684) -> {F*(E+F)^3-S^4,-((E-2*F)*(E+F)*S^2)+2*S^4}
X(10685) -> {((E+F)^2-3*S^2)*(F*(E+F)+S^2),(E+F)^4+6*(-E+F)*(E+F)*S^2+5*S^4}
X(10691) -> {3*E+F,-3*(E+F)}
X(10694) -> {2*F*(E+F)^3-(E-2*F)*(E+F)*S^2,-(E+F)^4+3*E*(E+F)*S^2+S^4}
X(10719) -> {OH+3*R,3*(OH-3*R)}
X(10720) -> {OH-3*R,3*(OH+3*R)}
X(10736) -> {OH-R,-5*OH+3*R}
X(10737) -> {OH+R,-5*OH-3*R}
X(10750) -> {R,2*OH-3*R}
X(10751) -> {R,-2*OH-3*R}
X(10989) -> {5*E-4*F,-12*(E+F)}
X(10994) -> {4*a*b*c*(E-8*F)+24*$a$*S^2-(11*E+32*F)*$a*SA$-32*$a*SB*SC$,3*a*b*c**(-E+8*F)-9*E*$a*SA$+24*$a*SA^2$}
X(10995) -> {7*a*b*c*(E-8*F)+23*$a$*S^2-39*F*$a*SA$-39$a*SB*SC$-17$a*SA^2$,3*a*b*c*(-E+8*F)-9*E*$a*SA$+24$a*SA^2$}
X(10996) -> {E,-E+F}
X(10997) -> {(E+F)^4-6*(E+F)^2*S^2+S^4,8*(E+F)^2*S^2}
X(10998) -> {(E+F)^4-6*(E+F)^2*S^2+S^4,-2*((E+F)^2-S^2)^2}
X(10999) -> {E+F,-E-F+Sqrt[(E+F)^2+S^2]}
X(11000) -> {E+F,-E-F-Sqrt[(E+F)^2+S^2]}
X(11001) -> {4,-9}
X(11007) -> {(E-5*F)*(E+F)-S^2,-(E+F)^2+3*S^2}
X(11049) -> {21*E*F-33*F^2-5*S^2,-9*F*(E+F)+3*S^2}
X(11050) -> {15*E*F-12*F^2-4*S^2,6*(-3*F*(E+F)+S^2)}
X(11093) -> {-2*F*(-3*E-3*F+Sqrt[3]*S),-6*(-Sqrt[3]*F*S+S^2)}
X(11094) -> {2*F*(3*E+3*F+Sqrt[3]*S),-6*(S^2+Sqrt[3]*F*S)}
X(11095) -> {-$a$*S+Sqrt[3]*(a*b*c+$a*SA$),-3*$a$*S+Sqrt[3]*(a*b*c-$a*SA$)}
X(11096) -> {$a$*S+Sqrt[3]*(a*b*c+$a*SA$),3*$a$*S+Sqrt[3]*(a*b*c-$a*SA$)}
X(11097) -> {a*b*c-Sqrt[3]*$a$*S+$a*SA$,a*b*c+Sqrt[3]*$a$*S-$a*SA$}
X(11098) -> {a*b*c+Sqrt[3]*$a$*S+$a*SA$,a*b*c-Sqrt[3]*$a$*S-$a*SA$}
X(11099) -> {3*$a$*S-Sqrt[3]*(a*b*c+$a*SA$),$a$*S-Sqrt[3]*(a*b*c-$a*SA$)}
X(11100) -> {3*$a$*S+Sqrt[3]*(a*b*c+$a*SA$),$a$*S+Sqrt[3]*(a*b*c-$a*SA$)}
X(11101) -> {$a$*((E-4**F)*S^2+2*$a*b*SA**SB$),2*S^2*(a*b*c+(E+F)*$a$-$a*SA$)}
X(11102) -> {(2*$a^3$+3*$a*SA$)*S^2+$a*SA^3$+a*b*c*(E+F)^2,-a*b*c*S^2-2*$a$*(E+F)*S^2}
X(11103) -> {2*a*b*c+$a$(E+2*F),2*$a*SA$}
X(11104) -> {$a$(E+F)^2-2*$a$*S^2+(E+F)*(a*b*c+$a*SA$),3*$a$*S^2+(E+F)*(a*b*c-$a*SA$)}
X(11105) -> {$a$*F,2*a*b*c-$a*SA$}
X(11106) -> {3*a*b*c+2*$a$*E,-4*a*b*c}
X(11107) -> {F*(3*a*b*c*$a$+4*S^2),(E-4*F+$a*b$)*S^2-$a*b*SA*SB$}
X(11108) -> {a*b*c*+2*$a$*E,-a*b*c*}
X(11109) -> {$a$*F,-a*b*c+$a*SA$}
X(11110) -> {$a$*(2*a*b*c+$a$*(E+F)+2*$a*SA$),-2*S^2}
X(11111) -> {2*a*b*c+$a$*E,-3*a*b*c}
X(11112) -> {a*b*c-$a$*E,-3*a*b*c}
X(11113) -> {a*b*c+$a$*E,-3*a*b*c}
X(11114) -> {2*a*b*c+$a$*E,-6*a*b*c}
X(11115) -> {$a$*($a^3$+2*a*b*c),4*S^2}
X(11116) -> {2*(E-2*F)*S^2+(E+F)*a*b*c*$a$,(E+4*F)*S^2+3*a*b*c*$a*SA$}
X(11145) -> {Sqrt[3]*E-4*S,4*S}
X(11146) -> {Sqrt[3]*E+4*S,-4*S}
X(11159) -> {2*(E+F)^2-3*S^2,9*S^2}
X(11250) -> {E-8*F,-3*E+8*F}
X(11251) -> {(E-8*F)*F,15*E*F-12*F^2-4*S^2}
X(11284) -> {2*E-F,E+F}
X(11285) -> {(E+F)^2+2*S^2,-S^2}
X(11286) -> {2*(E+F)^2-S^2,3*S^2}
X(11287) -> {2*(E+F)^2+S^2,-3*S^2}
X(11288) -> {2*(E+F)^2-5*S^2,3*S^2}
X(11289) -> {Sqrt[3]*(E+F),S}
X(11290) -> {Sqrt[3]*(E+F),-S}
X(11291) -> {E+F-S,S}
X(11292) -> {E+F+S,-S}
X(11293) -> {E+F-S,2*S}
X(11294) -> {E+F+S,-2*S}
X(11295) -> {2*(E+F)+Sqrt[3]*S,-3*Sqrt[3]*S}
X(11296) -> {2*(E+F)-Sqrt[3]*S,3*Sqrt[3]*S}
X(11297) -> {6*(E+F)+Sqrt[3]*S,-3*Sqrt[3]*S}
X(11298) -> {6*(E+F)-Sqrt[3]*S,3*Sqrt[3]*S}
X(11299) -> {Sqrt[3]*(E+F)+2*S,-3*S}
X(11300) -> {Sqrt[3]*(E+F)-2*S,3*S}
X(11301) -> {2*Sqrt[3]*(E+F)+5*S,-3*S}
X(11302) -> {2*Sqrt[3]*(E+F)-5*S,3*S}
X(11303) -> {Sqrt[3]*(E+F),3*S}
X(11304) -> {Sqrt[3]*(E+F),-3*S}
X(11305) -> {2*Sqrt[3]*(E+F)+3*S,3*S}
X(11306) -> {2*Sqrt[3]*(E+F)-3*S,-3*S}
X(11307) -> {Sqrt[3]*(E+F)+2*S,-S}
X(11308) -> {Sqrt[3]*(E+F)-2*S,S}
X(11309) -> {2*Sqrt[3]*(E+F)+7*S,-S}
X(11310) -> {2*Sqrt[3]*(E+F)-7*S,S}
X(11311) -> {S*(2*Sqrt[3]*(E+F)+S),S^2}
X(11312) -> {2*Sqrt[3]*(E+F)-S,-S}
X(11313) -> {2*(E+F)+S,S}
X(11314) -> {2*(E+F)-S,-S}
X(11315) -> {2*(E+F)+3*S,-S}
X(11316) -> {2*(E+F)-3*S,S}
X(11317) -> {(E+F)^2,9*S^2}
X(11318) -> {2*(E+F)^2-3*S^2,-3*S^2}
X(11319) -> {$a$*$a^3$,4*S^2}
X(11320) -> {$a$*((E+F)^2-2*S^2)-$a*SA^2$,2*$a$*S^2}
X(11321) -> {a*b*c*$a$+(E+F)^2,S^2}
X(11322) -> {$a*b$*((E+F)^2-2*S^2)-$b*c*SA^2$,2$a*b$*S^2}
X(11323) -> {F*(a*b*c*+$a*SA$),(a*b*c*(E+F)+$a*SA^2$+$a$*S^2+$a*SB*SC$)}
X(11324) -> {(E+F)^3-E*S^2,(E+F)*S^2}
X(11325) -> {F*((E+F)^2+S^2),-(E+F)^3+(E-F)*S^2}
X(11326) -> {F*(E+F)^2+(-E+F)*S^2,-(E+F)^3+(E-F)*S^2}
X(11327) -> {(E-4*F)*(E+F)^2+2*(E+2*F)*S^2,4*(E+F)^3-(E+4*F)*S^2}
X(11328) -> {E^2-F^2-S^2,(E+F)^2+S^2}
X(11329) -> {$a*SA^2$,$a$*S^2}
X(11330) -> {a*b*c*($a$*(E+F)-$a*SA$),4*$a*b$*S^2}
X(11331) -> {3*F*(E+F),-S^2}
X(11332) -> {2*F*(E+F)^3-(E^2+6*E*F-4*F^2)*S^2+2*S^4,-2*((E+F)^4+2*(-2*E+F)*(E+F)*S^2+S^4)}
X(11333) -> {(E+F)*((E+F)^3+(-3*E+F)*S^2),S^2*((E+F)^2+S^2)}
X(11334) -> {$a^3$-(a+b+c)*E,-$a^3$}
X(11335) -> {2*(E+F)^4+(-E^2+F^2)*S^2-S^4,3*S^2*((E+F)^2+S^2)}
X(11336) -> {2*(E+F)^3+3*(-2*E+F)*S^2,3*(E+F)*S^2}
X(11337) -> {2*a*b*c+$a$*(E+2*F),-2*a*b*c-2*$a$*(E+F)}
X(11338) -> {(E+F)*((E+F)^3+(-E+F)*S^2),S^2*((E+F)^2+S^2)}
X(11339) -> {$a*b*SC^2$,$a*b$*S^2}
X(11340) -> {$a$^2-E,-2*($a*b$+E+F)}
X(11341) -> {F*(E+F),a*b*c*$a$+S^2}
X(11342) -> {$a$*((E+F)^2-2*S^2)-$a*SA^2$-$a*SB*SC$,$a$*S^2}
X(11343) -> {2*a*b*c*(E+F)+$a$*S^2,-$a$*S^2}
X(11344) -> {$a$*((E-F)*S^2+$a*b*SA*SB$),-S^2*(a*b*c+$a*SA$)}
X(11345) -> {3*F*S^2-(E+F)*S^2+$a*b$*((E+F)^2-2*S^2)-$a*b*SC^2$,2*($a*b$-E-F)*S^2}
X(11346) -> {$a*b$(E+F)-3*$a*b*SC$-2*$SA^2$,-6*S^2}
X(11347) -> {F*S^2+$a*b*SA*SB$,-($a*b$+E+F)*S^2}
X(11348) -> {4*F*(E+F)-S^2,2*S^2}
X(11349) -> {a*b*c*(E+F)-$a*SA^2$,-$a$*S^2}
X(11350) -> {$a*b$+F,-$a*b$-E-F}
X(11351) -> {$a^5$+2*$a*SB*SC$,6*$a$*S^2}
X(11352) -> {$a^5$-$a*SB*SC$,3*$a$*S^2}	
X(11353) -> {$a$*((E+F)^2-2*S^2)-2*$a*SA^2$,$a$*S^2}
X(11354) -> {2*(E+F)*($a*b$+E+F)-S^2,3*S^2}
X(11355) -> {a*b*c*$a*b$-$a$*E*(E+F),-3*a*b*c*$a*b$}
X(11356) -> {2*(E+F)^4-(E+F)^2*S^2+S^4,S^2*((E+F)^2-3*S^2)}
X(11357) -> {$a$*(7*a*b*c+(a+b+c)*(E+F)+$a$*(E+F)+5*$a*SA$),-6*S^2}
X(11358) -> {($a*b$+E)*S^2+$a*b$*((E+F)^2-2*S^2)-$b*c*SA^2$,$a*b$*S^2}
X(11359) -> {2*(E+F)*($a*b$+E+F)+S^2,-3*S^2}
X(11360) -> {2**F*(E+F)^2+(3*E+2*F)*S^2,-2*(E+F)^3-(E+2*F)*S^2}
X(11361) -> {(E+F)^2-S^2,6*S^2}
X(11539) -> {13,-3}
X(11540) -> {35,-9}
X(11541) -> {4,-13}
X(11548) -> {3*E+5*F,E+F}
X(11558) -> {3*E+8*F,-17*E+40*F}
X(11563) -> {E+8*F,-7*E+8*F}
X(11585) -> {E-2*F,-E-2*F}
X(11634) -> {(E+F)^2*(E+2*F)+2*(-2*E+F)*S^2,-2*(E+F)^3+(7*E-2*F)*S^2}
X(11667) -> {4*F^2,-(F^2+S^2)-$Sqrt[(F^2+S^2-4*F*SA)*(F^2+S^2-4*F*SB)]$}
X(11676) -> {2*S^2,-(E+F)^2-3*S^2}
X(11799) -> {E+4*F,-5*E+4*F}
X(11812) -> {19,-9}
X(11818) -> {E,5*E+8*F}
X(11819) -> {E+4*F,-7*E-12*F}
X(11832) -> {(E-8*F)*F^2,-3*F*(E+F)*(-3*E+4*F)-2*(E+2*F)*S^2}
X(11845) -> {10*E*F-26*F^2-2*S^2,-3*(E-8*F)*F}
X(11853) -> {-F*(5*E^2-4*E*F-18*F^2)+(E+2*F)*S^2,6*(E-3*F)*F*(E+F)-(E+2*F)*S^2}
X(11897) -> {5*E*F-13*F^2-S^2,12*E*F-15*F^2-3*S^2}
X(11911) -> {11*E*F-34*F^2-2*S^2,21*E*F-6*F^2-6*S^2}


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

X(11276) -> {-9*a*b*c-14$a*SA$,11*a*b*c+10*$a*SA$}
X(11277) -> {-5*a*b*c-6*$a*SA$,7*a*b*c+2*$a*SA$}