5 2 Quantum Invariants

A1 Invariants.

Weight	Invariant
1	$-q^{13}+q^{7}+q^{5}+q$
2	$q^{36}-q^{32}-q^{26}-q^{20}+q^{14}+q^{10}+2q^{8}+q^{2}$
3	$-q^{69}+q^{65}+q^{63}-q^{59}+q^{55}-q^{51}+q^{47}+q^{45}-q^{43}-q^{37}-2q^{35}-q^{33}-q^{31}+q^{27}+q^{21}+2q^{19}-q^{15}+q^{13}+2q^{11}+q^{9}+q^{3}$
4	$q^{112}-q^{108}-q^{106}-q^{104}+q^{102}+q^{100}+q^{98}-2q^{94}+q^{90}+q^{88}-2q^{84}-q^{82}+2q^{78}+q^{76}-q^{74}+q^{70}+2q^{68}+q^{66}-q^{64}-q^{56}-2q^{54}-q^{52}-q^{50}-q^{48}+q^{44}-q^{42}-q^{40}-q^{38}+2q^{34}-q^{30}-q^{28}+q^{26}+4q^{24}+q^{22}-q^{18}+2q^{14}+q^{12}+q^{10}+q^{4}$
5	$-q^{165}+q^{161}+q^{159}+q^{157}-q^{153}-2q^{151}-q^{149}+q^{145}+2q^{143}+q^{141}-q^{139}-2q^{137}-q^{135}+q^{133}+2q^{131}+2q^{129}-2q^{125}-3q^{123}-q^{121}+q^{119}+2q^{117}+q^{115}-2q^{113}-2q^{111}-q^{109}+q^{107}+3q^{105}+q^{103}-q^{101}-q^{99}+q^{95}+2q^{93}+q^{91}-q^{89}+q^{85}+q^{83}+q^{81}-q^{77}-q^{73}-q^{71}-q^{69}-q^{63}-2q^{61}-2q^{59}-2q^{57}+2q^{53}+q^{51}-q^{49}-2q^{47}-2q^{45}+q^{43}+3q^{41}+3q^{39}-3q^{35}-2q^{33}+3q^{29}+3q^{27}+2q^{25}-q^{21}+q^{17}+q^{15}+q^{13}+q^{11}+q^{5}$

A2 Invariants.

Weight	Invariant
1,0	$-q^{20}-q^{18}+q^{12}+q^{10}+q^{8}+q^{6}+q^{2}$
1,1	$q^{52}+2q^{48}-2q^{46}-2q^{42}+2q^{34}-2q^{32}-5q^{28}-4q^{24}+2q^{22}+q^{20}+2q^{18}+4q^{16}+2q^{14}+4q^{12}+2q^{8}+q^{4}$
2,0	$q^{50}+q^{48}+q^{46}-q^{44}-q^{42}-q^{40}-q^{38}-q^{36}-q^{34}-q^{30}-q^{28}-q^{26}+2q^{20}+2q^{18}+2q^{16}+2q^{14}+2q^{12}+q^{10}+q^{4}$
3,0	$-q^{90}-q^{88}-q^{86}+2q^{82}+2q^{80}+2q^{78}-q^{66}+q^{62}+2q^{60}+q^{58}-q^{54}-q^{52}-3q^{50}-4q^{48}-5q^{46}-4q^{44}-3q^{42}-2q^{40}+2q^{36}+3q^{34}+2q^{32}+3q^{30}+2q^{28}+3q^{26}+2q^{24}+q^{22}+q^{20}+2q^{18}+3q^{16}+2q^{14}+q^{6}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{42}+q^{38}-2q^{34}-2q^{32}-2q^{30}-2q^{28}-q^{26}+q^{24}+q^{22}+2q^{20}+q^{18}+2q^{16}+q^{14}+q^{12}+2q^{10}+q^{8}+q^{4}$
1,0,0	$-q^{27}-q^{25}-q^{23}+q^{17}+q^{15}+q^{13}+q^{11}+q^{9}+q^{7}+q^{3}$
1,0,1	$q^{68}+2q^{64}-q^{60}-3q^{56}+q^{54}-q^{52}+q^{50}+3q^{48}-q^{46}+q^{44}-2q^{42}-4q^{40}-4q^{38}-4q^{36}-5q^{34}-3q^{32}-q^{30}+5q^{26}+3q^{24}+7q^{22}+6q^{20}+3q^{18}+5q^{16}+q^{14}+2q^{12}+2q^{10}+q^{6}$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{56}+q^{54}+q^{52}+q^{50}+q^{48}-q^{46}-3q^{44}-4q^{42}-4q^{40}-4q^{38}-3q^{36}+q^{32}+2q^{30}+3q^{28}+3q^{26}+2q^{24}+2q^{22}+2q^{20}+2q^{18}+q^{16}+2q^{14}+2q^{12}+q^{10}+q^{6}$
1,0,0,0	$-q^{34}-q^{32}-q^{30}-q^{28}+q^{22}+q^{20}+q^{18}+q^{16}+q^{14}+q^{12}+q^{10}+q^{8}+q^{4}$

B2 Invariants.

Weight	Invariant
0,1	$-q^{42}-q^{38}+q^{26}-q^{24}+q^{22}+q^{18}+q^{14}+q^{12}+q^{8}+q^{4}$
1,0	$q^{68}+q^{60}-q^{56}-q^{54}-q^{52}-q^{50}-q^{48}-q^{46}-q^{44}+q^{34}+q^{32}+q^{30}+q^{26}+q^{24}+q^{22}+q^{18}+q^{16}+q^{14}+q^{6}$

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{58}+q^{54}-q^{48}-2q^{46}-2q^{44}-2q^{42}-2q^{40}-2q^{38}+2q^{32}+q^{30}+2q^{28}+q^{26}+2q^{24}+q^{22}+q^{20}+q^{18}+q^{16}+2q^{14}+q^{12}+q^{10}+q^{6}$

G2 Invariants.

Weight	Invariant
1,0	$q^{100}+q^{96}-q^{94}-q^{92}+q^{90}-q^{88}-q^{84}-q^{82}-q^{78}-q^{76}-q^{74}-q^{72}-q^{68}-q^{66}+q^{64}+q^{60}+q^{56}+q^{54}+2q^{50}-q^{48}+2q^{46}+q^{44}+q^{40}+q^{34}+2q^{24}+q^{20}+q^{14}+q^{10}$