9 6 Quantum Invariants

A1 Invariants.

Weight	Invariant
1	$-q^{25}+q^{23}-q^{21}+q^{19}-q^{17}-q^{15}+q^{13}+2q^{9}+q^{5}$
2	$q^{68}-q^{66}-q^{64}+2q^{62}-q^{60}+3q^{56}-3q^{54}-q^{52}+3q^{50}-2q^{48}-2q^{46}+q^{44}+q^{42}-q^{40}-q^{38}+2q^{36}-q^{34}-3q^{32}+2q^{30}-3q^{26}+2q^{24}+3q^{22}-2q^{20}+q^{18}+3q^{16}+q^{10}$
3	$-q^{129}+q^{127}+q^{125}-2q^{121}-q^{119}+2q^{117}+q^{115}-q^{111}-q^{109}-q^{107}+2q^{105}+3q^{103}-3q^{101}-5q^{99}+2q^{97}+7q^{95}+q^{93}-5q^{91}-2q^{89}+4q^{87}+3q^{85}-4q^{81}-2q^{79}+4q^{77}+q^{75}-4q^{73}-5q^{71}+4q^{69}+3q^{67}-3q^{65}-5q^{63}+4q^{61}+5q^{59}-q^{57}-6q^{55}-2q^{53}+5q^{51}+3q^{49}-5q^{47}-6q^{45}+q^{43}+6q^{41}+2q^{39}-6q^{37}-2q^{35}+4q^{33}+5q^{31}-q^{29}-2q^{27}+q^{25}+3q^{23}+q^{21}+q^{15}$
4	$q^{208}-q^{206}-q^{204}+4q^{198}-q^{196}-2q^{194}-3q^{192}-3q^{190}+8q^{188}+3q^{186}+q^{184}-6q^{182}-10q^{180}+6q^{178}+8q^{176}+9q^{174}-6q^{172}-20q^{170}-3q^{168}+10q^{166}+22q^{164}+5q^{162}-24q^{160}-17q^{158}+q^{156}+25q^{154}+16q^{152}-13q^{150}-17q^{148}-12q^{146}+11q^{144}+17q^{142}+2q^{140}-5q^{138}-12q^{136}-3q^{134}+5q^{132}+8q^{130}+7q^{128}-5q^{126}-11q^{124}-q^{122}+12q^{120}+10q^{118}-3q^{116}-15q^{114}-4q^{112}+15q^{110}+10q^{108}-6q^{106}-20q^{104}-8q^{102}+16q^{100}+14q^{98}-19q^{94}-14q^{92}+9q^{90}+14q^{88}+10q^{86}-9q^{84}-14q^{82}-3q^{80}+2q^{78}+15q^{76}+6q^{74}-6q^{72}-9q^{70}-13q^{68}+5q^{66}+10q^{64}+7q^{62}-16q^{58}-6q^{56}+3q^{54}+10q^{52}+9q^{50}-6q^{48}-6q^{46}-4q^{44}+3q^{42}+8q^{40}+q^{38}-2q^{34}+3q^{30}+q^{28}+q^{26}+q^{20}$
5	$-q^{305}+q^{303}+q^{301}-2q^{295}-2q^{293}+q^{291}+4q^{289}+2q^{287}+q^{285}-4q^{283}-8q^{281}-3q^{279}+5q^{277}+11q^{275}+7q^{273}-3q^{271}-14q^{269}-14q^{267}+3q^{265}+21q^{263}+19q^{261}-2q^{259}-25q^{257}-31q^{255}-5q^{253}+35q^{251}+44q^{249}+11q^{247}-40q^{245}-59q^{243}-24q^{241}+40q^{239}+78q^{237}+42q^{235}-35q^{233}-86q^{231}-58q^{229}+20q^{227}+82q^{225}+73q^{223}-q^{221}-69q^{219}-75q^{217}-20q^{215}+44q^{213}+63q^{211}+33q^{209}-17q^{207}-47q^{205}-38q^{203}-2q^{201}+25q^{199}+31q^{197}+19q^{195}-7q^{193}-23q^{191}-24q^{189}-6q^{187}+17q^{185}+26q^{183}+13q^{181}-14q^{179}-31q^{177}-15q^{175}+19q^{173}+32q^{171}+15q^{169}-21q^{167}-42q^{165}-16q^{163}+33q^{161}+48q^{159}+22q^{157}-27q^{155}-58q^{153}-30q^{151}+30q^{149}+62q^{147}+39q^{145}-18q^{143}-62q^{141}-51q^{139}+6q^{137}+55q^{135}+56q^{133}+9q^{131}-45q^{129}-58q^{127}-26q^{125}+25q^{123}+49q^{121}+35q^{119}-7q^{117}-35q^{115}-34q^{113}-12q^{111}+13q^{109}+26q^{107}+23q^{105}+6q^{103}-11q^{101}-18q^{99}-21q^{97}-8q^{95}+10q^{93}+22q^{91}+18q^{89}+5q^{87}-14q^{85}-28q^{83}-17q^{81}+3q^{79}+19q^{77}+22q^{75}+9q^{73}-11q^{71}-20q^{69}-14q^{67}+13q^{63}+14q^{61}+5q^{59}-3q^{57}-9q^{55}-6q^{53}+q^{51}+6q^{49}+4q^{47}+3q^{45}-2q^{41}+2q^{37}+q^{35}+q^{33}+q^{31}+q^{25}$

A2 Invariants.

Weight	Invariant
1,0	$-q^{36}-2q^{26}-q^{22}+q^{20}+2q^{18}+q^{16}+2q^{14}+q^{10}$
1,1	$q^{100}-2q^{98}+4q^{96}-6q^{94}+7q^{92}-10q^{90}+12q^{88}-10q^{86}+11q^{84}-10q^{82}+10q^{80}-10q^{78}+7q^{76}-10q^{74}+8q^{72}-4q^{70}-q^{68}+10q^{66}-16q^{64}+26q^{62}-31q^{60}+38q^{58}-40q^{56}+36q^{54}-35q^{52}+24q^{50}-22q^{48}+2q^{46}+2q^{44}-18q^{42}+20q^{40}-24q^{38}+28q^{36}-18q^{34}+22q^{32}-8q^{30}+12q^{28}-2q^{26}+4q^{24}+q^{20}$
2,0	$q^{90}-q^{84}+q^{80}+q^{78}+q^{76}-q^{74}+q^{70}-2q^{66}+q^{62}-2q^{60}-2q^{58}-q^{56}-3q^{52}-2q^{50}-q^{48}-3q^{46}-q^{44}+q^{42}+q^{40}+4q^{36}+4q^{34}+2q^{32}+q^{30}+3q^{28}+2q^{26}+q^{20}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{82}-q^{80}+2q^{76}-2q^{74}-q^{72}+3q^{70}-q^{68}-2q^{66}+3q^{64}-2q^{60}+q^{58}-q^{56}-q^{54}-2q^{52}+q^{50}-4q^{46}-q^{44}-q^{42}-4q^{40}-q^{38}+3q^{36}+4q^{32}+4q^{30}+2q^{28}+3q^{26}+2q^{24}+q^{20}$
1,0,0	$-q^{47}-q^{43}+q^{41}-q^{39}-2q^{35}-q^{33}-q^{31}+2q^{27}+q^{25}+3q^{23}+q^{21}+2q^{19}+q^{15}$
1,0,1	$q^{132}-2q^{130}+3q^{128}-q^{126}-3q^{124}+6q^{122}-8q^{120}+4q^{118}+2q^{116}-5q^{114}+9q^{112}-5q^{110}+2q^{108}+2q^{106}-5q^{104}-q^{102}+4q^{100}-11q^{98}+9q^{96}-9q^{92}+17q^{90}-16q^{88}+15q^{86}-6q^{84}+3q^{82}+7q^{80}-6q^{78}+11q^{76}-7q^{74}+9q^{72}-12q^{70}+7q^{68}-17q^{66}-5q^{64}-10q^{62}-18q^{60}+2q^{58}-22q^{56}+11q^{54}-8q^{52}+9q^{50}+12q^{48}+2q^{46}+19q^{44}+3q^{42}+10q^{40}+6q^{38}+2q^{36}+4q^{34}+q^{30}$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{104}-q^{100}+q^{98}+2q^{96}-q^{94}-q^{92}+2q^{90}+q^{88}-q^{86}+2q^{82}-q^{80}-2q^{78}+q^{76}-q^{74}-3q^{72}-5q^{66}-3q^{64}-2q^{62}-4q^{60}-6q^{58}-3q^{56}-q^{54}-q^{52}+q^{50}+4q^{48}+5q^{46}+5q^{44}+7q^{42}+4q^{40}+4q^{38}+3q^{36}+2q^{34}+q^{30}$
1,0,0,0	$-q^{58}-q^{54}-q^{48}-2q^{44}-q^{42}-2q^{40}+2q^{34}+2q^{32}+2q^{30}+3q^{28}+q^{26}+2q^{24}+q^{20}$

B2 Invariants.

Weight	Invariant
0,1	$-q^{82}+q^{80}-2q^{78}+2q^{76}-2q^{74}+3q^{72}-3q^{70}+3q^{68}-2q^{66}+q^{64}-2q^{60}+3q^{58}-5q^{56}+5q^{54}-6q^{52}+5q^{50}-6q^{48}+4q^{46}-3q^{44}+q^{42}-q^{38}+3q^{36}-2q^{34}+4q^{32}-2q^{30}+4q^{28}-q^{26}+2q^{24}+q^{20}$
1,0	$q^{132}-q^{128}-q^{126}+q^{124}+2q^{122}-2q^{118}-2q^{116}+q^{114}+3q^{112}+q^{110}-2q^{108}-2q^{106}+q^{104}+3q^{102}-3q^{98}-q^{96}+2q^{94}+q^{92}-3q^{90}-2q^{88}+q^{86}+2q^{84}-q^{82}-q^{80}+q^{76}-q^{74}-3q^{72}-2q^{70}+q^{68}+q^{66}-3q^{64}-4q^{62}+4q^{58}+2q^{56}-q^{54}-2q^{52}+3q^{50}+4q^{48}+2q^{46}-q^{44}+q^{42}+2q^{40}+2q^{38}+q^{30}$

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{114}-q^{112}+q^{110}-q^{108}+2q^{106}-2q^{104}+q^{102}-2q^{100}+3q^{98}-2q^{96}+q^{94}-2q^{92}+2q^{90}+q^{84}-2q^{82}+3q^{80}-4q^{78}+3q^{76}-6q^{74}+3q^{72}-5q^{70}+3q^{68}-5q^{66}+2q^{64}-4q^{62}-3q^{58}-2q^{56}-2q^{52}+2q^{50}+6q^{46}+q^{44}+6q^{42}+q^{40}+5q^{38}+q^{36}+2q^{34}+q^{30}$

G2 Invariants.

Weight

Invariant

1,0

$q^{196}-q^{194}+2q^{192}-2q^{190}+q^{186}-2q^{184}+4q^{182}-4q^{180}+4q^{178}-2q^{176}-q^{174}+3q^{172}-4q^{170}+4q^{168}-5q^{166}+3q^{164}-3q^{162}-q^{160}+3q^{158}-4q^{156}+5q^{154}-4q^{152}+2q^{150}-4q^{146}+4q^{144}-2q^{142}-q^{140}+6q^{138}-5q^{136}+2q^{134}+3q^{132}-6q^{130}+9q^{128}-10q^{126}+3q^{124}-5q^{120}+10q^{118}-12q^{116}+6q^{114}-3q^{112}-2q^{110}+3q^{108}-9q^{106}+6q^{104}-4q^{102}+4q^{98}-6q^{96}+4q^{94}+3q^{92}-5q^{90}+7q^{88}-6q^{86}+2q^{84}+5q^{82}-7q^{80}+11q^{78}-7q^{76}+5q^{74}+2q^{72}-4q^{70}+7q^{68}-5q^{66}+5q^{64}+2q^{58}-q^{56}+2q^{54}+q^{50}$