=================================================================================================================== Missed From ETC X(14001) -> {(E+F)^2-S^2,S^2} X(14002) -> {E-8*F,8*(E+F)} X(14003) -> {3*F*(E+F)-S^2,(E+F)^2+S^2} X(14004) -> {F,$a*b$-E-F} X(14005) -> {4*a*b*c+2$a$*(E+F)+$a*SA$,-a*b*c+$a*SA$} X(14006) -> {($a^3$+a*b*c)*F,$a$*S^2+(E+F)*(a*b*c+$a*SA$)} X(14007) -> {(2$a*b$+E+F)*($a$)^2,2*S^2} X(14008) -> {2*F*S^2+($a*SA$)^2,2*($a*b$)*S^2} X(14009) -> {$a*SA$*(a*b*c+$a$*(E+F)+$a*SA$),2*$a*b$*S^2} X(14010) -> {a*b*c*(E-2*F)-2*$a$*S^2+5*F*$a*SA$+4*$a*SB*SC$-$a*SA^2$,$a$*S^2-2*a*b*c*(E+F)+2*$a*SA^2$-$a*SB*SC$} X(14011) -> {(E-2*$a*b$)*S^2+$a*b$*(E+F)^2-$b*c*SA^2$,(a*b*c-$a*SA$)*(a*b*c+$a$*(E+F)+$a*SA$)} X(14012) -> {(E+F)^3-F*S^2+(E+F)*(2*$a*b$*(E+F)-$b*c*SA$),($a*b$+2*(E+F))*S^2} X(14013) -> {4*F*S^2*(E+F+2*$a*b$),(2*a*b*c+$a$(E+F))*(a*b*c-$a*SA$)*($a$)^2} X(14014) -> {4*F*S^2*(4*a*b*c+2*$a$*(E+F)+$a*SA$),(2*a*b*c+$a$*(E+F))*(a*b*c-$a*SA$)*($a$)^3} X(14015) -> {2*($a^3$+a*b*c)*F,-3*a*b*c*(E+2*F)-3*E*$a*SA$-2*$a*SB*SC$+2*$a*SA^2$+2$a$*(S^2-(E+F)^2)} X(14016) -> {2*F*$a*SA$,-a*b*c*(E+2*F)-2*$a$*S^2-E*$a*SA$} X(14017) -> {2*F*$a*SA$,-a*b*c*E-(E+2*F)*$a*SA$} X(14018) -> {$a$*F,-2*a*b*c-$a$*(E+F)-$a*SA$} X(14019) -> {(2*$a*b$+2*E-F)*S^2-$a*b$*(E+F)^2+$b*c*SA^2$-2*$a*b*SA*SB$,-(E+F)*S^2} X(14020) -> {$a$*(3*a*b*c+$a$*(E+F)+2*$a*SA$),-6*S^2} X(14021) -> {$a$*S^2+$a*SB*SC$,-$a$*S^2} X(14022) -> {(3*a*b*c-$a*SA$)*(a*b*c+$a*SA$),-2*($a*b$-E-F)*S^2} X(14030) -> {7*((E+F)^2-S^2),18*S^2} X(14031) -> {3*((E+F)^2-S^2),8*S^2} X(14032) -> {5*((E+F)^2-S^2),14*S^2} X(14033) -> {(E+F)^2-S^2,3*S^2} X(14034) -> {3*((E+F)^2-S^2),10*S^2} X(14035) -> {(E+F)^2-S^2,4*S^2} X(14036) -> {5*((E+F)^2-S^2),6*S^2} X(14037) -> {3*((E+F)^2-S^2),4*S^2} X(14038) -> {7*((E+F)^2-S^2),10*S^2} X(14039) -> {2*((E+F)^2-S^2),3*S^2} X(14040) -> {9*((E+F)^2-S^2),14*S^2} X(14041) -> {(E+F)^2-S^2,-6*S^2} X(14042) -> {(E+F)^2-S^2,10*S^2} X(14043) -> {5*((E+F)^2-S^2),2*S^2} X(14044) -> {(E+F)^2-S^2,-14*S^2} X(14045) -> {3*((E+F)^2-S^2),-10*S^2} X(14046) -> {5*((E+F)^2-S^2),-6*S^2} X(14047) -> {7*((E+F)^2-S^2),-2*S^2} X(14062) -> {(E+F)^2-S^2,-10*S^2} X(14063) -> {(E+F)^2-S^2,-4*S^2} X(14064) -> {(E+F)^2-S^2,-S^2} X(14065) -> {5*((E+F)^2-S^2),-2*S^2} X(14066) -> {(E+F)^2-S^2,14*S^2} X(14067) -> {7*((E+F)^2-S^2),2*S^2} X(14068) -> {(E+F)^2-S^2,8*S^2} X(14069) -> {2*((E+F)^2-S^2),S^2} X(14096) -> {2*E^2+3*E*F+F^2+S^2,-(E+F)^2-S^2} X(14106) -> {6*E*F+16*F^2,3*E*(E+2*F)-16*S^2} X(14118) -> {E+4*F,-4*F} X(14119) -> {F*($a$*S^2-3*$a*SB*SC$),-2*F*$a$**S^2+$a^3*SB*SC$} X(14120) -> {6*F*(E+F)^2-(E+10*F)*S^2,-2*(E+F)^3+9*(E-2*F)*S^2} X(14123) -> {4*(E-2*F)*(E+F)^3-(E+2*F)*(3*E+4*F)*S^2,-8*(E+F)^4+2*(E+F)*(7*E+12*F)*S^2} X(14130) -> {E+8*F,3*E-8*F} X(14142) -> {9*E^2+64*E*F+96*F^2+32*S^2,-27*E^2-128*E*F-160*F^2+32*S^2} X(14159) -> {(E+F)^2-39*S^2,-3*(E+F)^2-27*S^2} X(14161) -> {(E+F)^2-63*S^2,-3*(E+F)^2-27*S^2} X(14269) -> {1,15} X(14460) -> {3*(F^2+S^2),-F*(E+F)-9*S^2} X(14461) -> {(E-2*F)*F-S^2,F*(E+F)+2*S^2} X(14462) -> {2*E*F-F^2-13*S^2,F*(E+F)+37*S^2} X(14532) -> {2*(E+F)^2+S^2,-4*(E+F)^2-3*S^2} X(14636) -> {-5*a*b*c-3$a$*(E+F)-3*$a*SA$,3*a*b*c+3*$a$(E+F)+3*$a*SA$} X(14694) -> {(E+F)^3+3*(-2*E+7*F)*S^2,3*(E+F)*((E+F)^2-3*S^2)} X(14707) -> {3*E*(E+2*F)*(93*E^4+514*E^3*F+1020*E^2*F^2+864*E*F^3+256*F^4)+4*(-225*E^4-406*E^3*F+1968*E^2*F^2+5504*E*F^3+3072*F^4)*S^2-128*(11*E^2+16*E*F-96*F^2)*S^4,-9*E*(E+2*F)*(3*E^4+70*E^3*F+300*E^2*F^2+480*E*F^3+256*F^4)+12*(27*E^4+142*E^3*F+16*E^2*F^2+128*E*F^3+1024*F^4)*S^2-384*(E^2-32*F^2)*S^4} X(14709) -> {OH+R,-OH+R} X(14710) -> {OH-R,-OH-R} X(14813) -> {Sqrt[3],2-Sqrt[3]} X(14814) -> {Sqrt[3],-2-Sqrt[3]} X(14869) -> {11,-5} X(14894) -> {7*E*F-2*F^2-2*S^2,-2*E^2-5*E*F+6*F^2+6*S^2} X(14895) -> {3*F*(E+F)-S^2,-E^2-E*F-9*F^2+3*S^2} X(14896) -> {13*E*F+4*F^2-4*S^2,-4*E^2-7*E*F-12*F^2+12*S^2} X(14940) -> {8*F,-E} X(14953) -> {$a$*S^2-$a*SB*SC$,-2*$a$*S^2} X(14954) -> {F*($a$*(E+F)-$a*SA$),-2*$a*SB*SC$} X(14955) -> {2*$a$*F*S^2+$a*SA*SB^2$+$b*SA^2*SB$,-2*S^2*$a^3$} X(14956) -> {a*b*c*$a*SA$,-2*$a*b$*S^2} X(14957) -> {E^2+E*F,-2*(E+F)^2-2*S^2} X(14958) -> {(E+F)*(3*E+8*F),-2*(5*(E+F)^2+S^2)} X(14959) -> {(E+F)^5*(E+8*F)+4*(E+F)^2*(-2*E^2-10*E*F+F^2)*S^2+15*E*(E+F)*S^4+4*S^6,2*((E+F)^2-3*S^2)*(-(E+F)^4+3*E*(E+F)*S^2+S^4)} X(14960) -> {2*F*(E+F)^5-9*E*F*(E+F)^2*S^2-(E-2*F)*(E+F)*S^4+4*S^6,-S^2*((E+F)^2-3*S^2)*((E-2*F)*(E+F)-2*S^2)} X(15000) -> {3*S^2-9*F*(E+F),(E+F)^2-3*S^2} X(15013) -> {2*F*(E+F)^2-(E+2*F)*S^2,(E+4*F)*S^2} X(15014) -> {F*(E+F)^2-F*S^2,(2*F-E)*S^2} X(15078) -> {E-6*F,6*F} X(15122) -> {3*E-12*F,-5*E+4*F} X(15143) -> {F*(-E^2+F^2+S^2),-F*(E+F)^2+(E-F)*S^2} X(15144) -> {(2*E-7*F)*F,3*F*(E+F)-2*S^2} X(15145) -> {F*((E+F)^3-(E-5*F)*S^2),-((E+F)*(E+3*F)*S^2)+S^4} X(15146) -> {F*((E-2*F)*S^2+$a*b*SA*SB$),-S^2*(($a*b$-E-F)*F+S^2)} X(15147) -> {F*((E+F)*(2$a*b$+E+F)+S^2),-(E+F)^2*($a*b$+E+F)+($a*b$+2*E-F)*S^2} X(15148) -> {2*a*b*c*F*(E+F)+$a$*F*((E+F)^2+S^2),a*b*c*(-(E+F)^2+S^2)+$a$*(-(E+F)^3+(2*E-F)*S^2)} X(15149) -> {4*$a*b$*F*S^2,a*b*c*(a*b*c-$a*SA$)*($a$)^2} X(15150) -> {-F*(3*a*b*c+$a$*(E+F)-$a*SA$),a*b*c(E+F)+$a*SA^2$+$a*SB*SC$} X(15154) -> {OH-2*R,-OH+6*R} X(15155) -> {OH+2*R,-OH-6*R} X(15156) -> {OH+3*R,-OH-9*R} X(15157) -> {OH-3*R,-OH+9*R} X(15158) -> {2*OH-3*R,-3*(OH-3*R)} X(15159) -> {2*OH+3*R,-3*(OH+3*R)} X(15160) -> {OH-R,-2*OH+3*R} X(15161) -> {OH+R,-2*OH-3*R} X(15183) -> {45*F^2-14*F*(E+F)+3*S^2,-3*F*(E+F)+S^2} X(15184) -> {13*E*F-23*F^2-3*S^2,-3*F*(E+F)+S^2} X(15186) -> {F*(E+2*S),2*(E-F)*S} X(15187) -> {F*(E+2*S),-2*(E+F)*S} X(15188) -> {F*(E-2*S),2*(E+F)*S} X(15189) -> {F*(E-2*S),-2*(E-F)*S} X(15190) -> {F*(E+4*S),2*(E-2*F)*S} X(15191) -> {F*(E+4*S),-2*(E+2*F)*S} X(15192) -> {F*(E-4*S),2*(E+2*F)*S} X(15193) -> {F*(E-4*S),-2*(E-2*F)*S} X(15194) -> {F*(E+8*S),2*(E-4*F)*S} X(15195) -> {F*(E+8*S),-2*(E+4*F)*S} X(15196) -> {F*(E-8*S),2*(E+4*F)*S} X(15197) -> {F*(E-8*S),-2*(E-4*F)*S} X(15198) -> {F*(E+S),(E-F)*S} X(15199) -> {F*(E+S),-((E+F)*S)} X(15200) -> {F*(E-S),(E+F)*S} X(15201) -> {F*(E-S),(-E+F)*S} X(15202) -> {F*(E+2*S),(E-2*F)*S} X(15203) -> {F*(E+2*S),-((E+2*F)*S)} X(15204) -> {F*(E-2*S),(E+2*F)*S} X(15205) -> {F*(E-2*S),-((E-2*F)*S)} X(15206) -> {F*(E+4*S),(E-4*F)*S} X(15207) -> {F*(E+4*S),-((E+4*F)*S)} X(15208) -> {F*(E-4*S),(E+4*F)*S} X(15209) -> {F*(E-4*S),-((E-4*F)*S)} X(15210) -> {F*(2*E+S),(E-F)*S} X(15211) -> {F*(2*E+S),-((E+F)*S)} X(15212) -> {F*(2*E-S),(E+F)*S} X(15213) -> {F*(2*E-S),(-E+F)*S} X(15214) -> {2*F*(E+S),(E-2*F)*S} X(15215) -> {2*F*(E+S),-((E+2*F)*S)} X(15216) -> {2*F*(E-S),(E+2*F)*S} X(15217) -> {2*F*(E-S),-((E-2*F)*S)} X(15218) -> {2*F*(E+2*S),(E-4*F)*S} X(15219) -> {2*F*(E+2*S),-((E+4*F)*S)} X(15220) -> {2*F*(E-2*S),(E+4*F)*S} X(15221) -> {2*F*(E-2*S),-((E-4*F)*S)} X(15233) -> {E-2*S,-2*S} X(15234) -> {E+2*S,2*S} X(15235) -> {2*E-S,-S} X(15236) -> {2*E+S,S} X(15244) -> {E-2*Sqrt[(E+F)^2+S^2],2*Sqrt[$a^2*b^2$]} X(15245) -> {E+2*Sqrt[(E+F)^2+S^2],-2*Sqrt[$a^2*b^2$]} X(15246) -> {5*E+4*F,-4*(E+F)} X(15247) -> {E+Sqrt[(E+F)^2+S^2],-Sqrt[$a^2*b^2$]} X(15248) -> {E-Sqrt[(E+F)^2+S^2],Sqrt[$a^2*b^2$]} X(15249) -> {E-4*Sqrt[(E+F)^2+S^2],4*Sqrt[$a^2*b^2$]} X(15250) -> {E+4*Sqrt[(E+F)^2+S^2],-4*Sqrt[$a^2*b^2$]} X(15327) -> {9*E^2+128*E*F+224*F^2+160*S^2,-27*E^2-128*E*F-160*F^2+32*S^2} X(15329) -> {E^2+6*E*F-4*(F^2+S^2),-2*(E-2*F)*(E+F)+4*S^2} X(15333) -> {27*E^2-176*E*F-448*F^2-640*S^2,-81*E^2-240*E*F-192*F^2+384*S^2} X(15334) -> {9*E^2-80*E*F-192*F^2-256*S^2,-27*E^2-16*E*F+64*F^2+256*S^2} X(15335) -> {9*E^2-16*E*F-64*F^2-128*S^2,-27*E^2-208*E*F-320*F^2-128*S^2} X(15336) -> {9*E^2-144*E*F-320*F^2-384*S^2,-27*E^2+176*E*F+448*F^2+640*S^2} X(15350) -> {3*E-40*F,7*E-8*F} X(15557) -> {F*(3*E+8*F),7*E*F+8*F^2+32*S^2} X(15559) -> {2*F,3*E+2*F} X(15640) -> {5,-18} X(15643) -> {4*E*F*(5*E+8*F)-32*(E+8*F)*S^2,-27*E^3-100*E^2*F-96*E*F^2+160*E*S^2+256*F*S^2} X(15646) -> {E-16*F,E+16*F} X(15670) -> {5*a*b*c+3*$a$*E,-3*a*b*c} X(15671) -> {14*a*b*c+9*$a$*E,-6*a*b*c} X(15672) -> {16*a*b*c+9*$a$*E,-12*a*b*c} X(15673) -> {11*a*b*c+6*$a$*E,-9*a*b*c} X(15674) -> {8*a*b*c+5*$a$*E,-4*a*b*c} X(15675) -> {26*a*b*c+15*$a$*E,-18*a*b*c} X(15676) -> {12*a*b*c+7*$a$*E,-8*a*b*c} X(15677) -> {8*a*b*c+3*$a$*E,-12*a*b*c} X(15678) -> {10*a*b*c+3*$a$*E,-18*a*b*c} X(15679) -> {2*a*b*c-3*$a$*E,-18*a*b*c} X(15680) -> {4*a*b*c+$a$*E,-8*a*b*c} X(15681) -> {7,-15} X(15682) -> {2,-9} X(15683) -> {5,-12} X(15684) -> {5,-21} X(15685) -> {11,-27} X(15686) -> {11,-21} X(15687) -> {1,-15} X(15688) -> {11,-15} X(15689) -> {13,-21} X(15690) -> {17,-27} X(15691) -> {19,-33} X(15692) -> {7,-6} X(15693) -> {13,-9} X(15694) -> {11,-3} X(15695) -> {19,-27} X(15696) -> {7,-11} X(15697) -> {11,-18} X(15698) -> {10,-9} X(15699) -> {11,3} X(15700) -> {19,-15} X(15701) -> {17,-9} X(15702) -> {8,-3} X(15703) -> {13,3} X(15704) -> {5,-11} X(15705) -> {13,-12} X(15706) -> {25,-21} X(15707) -> {23,-15} X(15708) -> {11,-6} X(15709) -> {10,-3} X(15710) -> {14,-15} X(15711) -> {29,-27} X(15712) -> {9,-7} X(15713) -> {23,-9} X(15714) -> {31,-33} X(15715) -> {16,-15} X(15716) -> {31,-27} X(15717) -> {5,-4} X(15718) -> {29,-21} X(15719) -> {14,-9} X(15720) -> {9,-5} X(15721) -> {13,-6} X(15722) -> {43,-27} X(15723) -> {23,-3} X(15759) -> {25,-27} X(15760) -> {E+2*F,-E+2*F} X(15761) -> {E+4*F,-3*E+4*F} X(15762) -> {F,F-2*E-2*$a*b$} X(15763) -> {F*S^2,(F-E-$a*b$)*S^2+$a*b*SA*SB$} X(15764) -> {2+3*Sqrt[3],-3*Sqrt[3]} X(15765) -> {3+2*Sqrt[3],-3} X(15766) -> {15*E^2+96*E*F-64*S^2,-27*E^2+64*S^2} X(15773) -> {27*E*F*(2*E^2+7*E*F+32*F^2)-3*(5*E^2+96*E*F+64*F^2)*S^2+64*S^4,-729*E^2*F^2+3*(E^2+128*E*F+64*F^2)*S^2-64*S^4} X(15774) -> {27*F^2-6*F*(E+F)+S^2,-27*F^2+S^2} X(15775) -> {$a*b$*(27*E^2*F+27*E*F^2-2*(E+28*F)*S^2)+(3*E^2+36*E*F-48*F^2-16*S^2)*S^2+(8*S^2-3*(E^2+2*E*F-8*F^2))*$a*b*SC$+(3*E-24*F)*$a*b*SC^2$,(16*S^2+6*$a*b$*(8*F-E)-6*E^2-12*E*F+48*F^2)*S^2}; X(15779) -> {E*F*(6*E^2+29*E*F+32*F^2)-3*(5*E^2+32*E*F+64*F^2)*S^2+64*S^4,-E^2*F^2+(27*E^2+128*E*F+192*F^2)*S^2-64*S^4} X(15780) -> {2*E*F+5*F^2+S^2,F^2-3*S^2} X(15781) -> {2*E*F+3*F^2-S^2,-3*F^2+S^2} X(15802) -> {6*E+9*F+7*Sqrt[3]*S,-3*E-3*F-5*Sqrt[3]*S} X(15809) -> {F^2,(E+F)^2} X(15818) -> {E^2+3*E*F+4*F^2,-E^2-5*E*F-4*F^2} X(15915) -> {E^3-2*E^2*F-7*E*F^2-4*F^3-E*S^2-4*F*S^2,-2*E^3+6*E*F^2+4*F^3+4*E*S^2+4*F*S^2} X(15948) -> {20*E*F-28*F^2-5*S^2,-28*E*F+52*F^2+7*S^2} X(15949) -> {135*E^2-18480*E*F+13760*F^2+4608*S^2,-405*E^2+17040*E*F-15680*F^2-4608*S^2} X(15951) -> {$a$*$a*SB*SC$,(2*F-3*E)*S^2+3*($a*b*SA*SB$-$a*b$*S^2)} X(15952) -> {$a^3$+2*a*b*c,-$a^3$-4*a*b*c} X(15957) -> {9*E^2+96*E*F+160*F^2+96*S^2,-27*E^2-32*E*F+32*F^2+224*S^2} X(15970) -> {a*b*c*($a$)^2,-2*a*b*c*(E+F)+2$a*SB*SC$-2*$a*SA^2$} X(15971) -> {a*b*c,-a*b*c+$a$*(E+F)+$a*SA$} X(15972) -> {$a*b$*(a*b*c+$a*SA$),a*b*c*(E+F)+$a*SA^2$-$a*SB*SC$} X(15973) -> {$a$*$a*b$,-a*b*c+$a$*(E+F)+$a*SA$} X(15974) -> {$a*b$*(S^2+$SA^2$)-$b*c*SA^2$-$a*b*SA*SB$,$a$*($a*SA^2$-$a*SB*SC$-2*a*b*c*(E+F))} X(15975) -> {$a*b$*F,-(E+F)*(E+2*$a*b$)+$b*c*SA$} X(15976) -> {3*a*b*c*(E+F)+$a$*((E+F)^2+3*S^2)+2*$a*SA^2$,-a*b*c*(E+F)-$a$*((E+F)^2+S^2)} X(15977) -> {$a$*(E+F)^2+a*b*c*(E+F)-S^2*$a$-2*$a*SB*SC$,$a$*(S^2-(E+F)^2)-(E+F)*(3*a*b*c+2$a*SA$)} X(15978) -> {a*b*c*($a$)^2,2*(a*b*c*(E+F)+$a$*((E+F)^2+S^2))} X(15979) -> {$a*b$*((E+F)^2-S^2)+E*S^2-$b*c*SA^2$,3*$b*c*SA^2$-$a*b*SA*SB$-4*E*S^2-$a*b$*(3*(E+F)^2-2*S^2)} X(15980) -> {(E+F)^2-S^2,-(E+F)^2-3*S^2} X(15981) -> {$a$*((E+F)^2-2*S^2)+$a^3*SA$-$a*SB*SC$,-$a$*((E+F)^2-2*S^2)-$a^2$*$a*SA$-$a^3*SA$-$a*SB*SC$} =================================================================================================================== ThE Shinagawa coefficients of X(15776) are incorrect on ETC. The correct Shinagawa coefficients of are: X(15776) -> {F*(4*$a*SA$-a*b*c)-$a$*S^2+$a*SB*SC$,$a$*S^2+3*F*(a*b*c-$a*SA$)} =================================================================================================================== ThE Shinagawa coefficients of the following points are simpler than those reported on ETC. X(14782) -> {2+Sqrt[2],-Sqrt[2]} X(14783) -> {2-Sqrt[2],Sqrt[2]} X(14784) -> {Sqrt[2],2-Sqrt[2]} X(14785) -> {Sqrt[2],-2-Sqrt[2]} X(15767) -> {8*a*b*c*F+5*E*$a*SA$-8*$a*SA^2$,-8*$a$*S^2+3*E*($a*SA$-a*b*c)} X(15770) -> {15*E^2+32*E*F-64*S^2,-3*E^2+64*S^2} X(15771) -> {2*S^3-Sqrt[3]*($a*b$+E+2*F)*S^2+a*b*c*$a$*S-Sqrt[3]*$a*b*SA*SB$,2*(Sqrt[3]*($a*b$+E+F)-S)*S^2} X(15772) -> {2*S^3+Sqrt[3]*($a*b$+E+2*F)*S^2+a*b*c*$a$*S+Sqrt[3]*$a*b*SA*SB$,-2*(Sqrt[3]*($a*b$+E+F)+S)*S^2} X(15777) -> {a*b*c*F+$a$*S^2-$a*SB*SC$,-$a$*S^2+F*(a*b*c-$a*SA$)} X(15778) -> {6*E+9*F-7*Sqrt[3]*S,-3*E-3*F+5*Sqrt[3]*S}