10 129 Quantum Invariants

A1 Invariants.

Weight	Invariant
1	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{11}+q^9-q^7+q^5+q+2 q^{-1} - q^{-3} + q^{-5} - q^{-7} }
2	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{32}-q^{30}-q^{28}+3 q^{26}-q^{24}-4 q^{22}+2 q^{20}+2 q^{18}-4 q^{16}+4 q^{12}-2 q^{10}-q^8+3 q^6+q^4-q^2+1+5 q^{-2} -3 q^{-4} -3 q^{-6} +4 q^{-8} - q^{-10} -3 q^{-12} +2 q^{-14} + q^{-16} - q^{-18} }
3	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{63}+q^{61}+q^{59}-q^{57}-2 q^{55}+q^{53}+5 q^{51}-6 q^{47}-3 q^{45}+5 q^{43}+8 q^{41}-2 q^{39}-11 q^{37}-4 q^{35}+9 q^{33}+10 q^{31}-9 q^{29}-14 q^{27}+4 q^{25}+15 q^{23}-q^{21}-13 q^{19}-q^{17}+13 q^{15}+3 q^{13}-8 q^{11}-4 q^9+6 q^7+5 q^5-q^3-7 q+12 q^{-3} +4 q^{-5} -10 q^{-7} -11 q^{-9} +10 q^{-11} +12 q^{-13} -6 q^{-15} -14 q^{-17} + q^{-19} +12 q^{-21} +4 q^{-23} -8 q^{-25} -5 q^{-27} +3 q^{-29} +5 q^{-31} -3 q^{-35} - q^{-37} + q^{-41} }

A2 Invariants.

Weight	Invariant
1,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{16}-q^{10}+q^8+q^4+2 q^2+1+2 q^{-2} - q^{-4} - q^{-10} }
1,1	$q^{44}-2q^{42}+4q^{40}-8q^{38}+15q^{36}-18q^{34}+24q^{32}-32q^{30}+29q^{28}-24q^{26}+14q^{24}-4q^{22}-19q^{20}+32q^{18}-48q^{16}+54q^{14}-54q^{12}+58q^{10}-38q^{8}+36q^{6}-13q^{4}+2q^{2}+14-26q^{-2}+30q^{-4}-38q^{-6}+32q^{-8}-22q^{-10}+15q^{-12}-8q^{-14}+2q^{-16}+4q^{-18}-3q^{-20}-2q^{-24}+q^{-28}$
2,0	$q^{42}-q^{38}+2q^{34}+2q^{32}-2q^{30}-3q^{28}-q^{26}-q^{24}-3q^{22}-3q^{20}+q^{18}+2q^{16}+q^{14}+q^{12}+3q^{10}+2q^{8}+2q^{6}+4q^{4}+q^{2}+2+q^{-2}+q^{-4}-4q^{-6}-3q^{-8}+q^{-10}+q^{-12}-2q^{-14}-q^{-16}+2q^{-18}+q^{-20}-q^{-24}$

A3 Invariants.

Weight	Invariant
0,1,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{34}-q^{32}+q^{28}-2 q^{26}+q^{24}-4 q^{20}+q^{18}-3 q^{14}+q^{12}+q^{10}+q^6+3 q^4+4 q^2+4+2 q^{-2} +5 q^{-4} -2 q^{-6} -3 q^{-8} + q^{-10} -4 q^{-12} -3 q^{-14} + q^{-16} + q^{-22} }
1,0,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{21}-q^{17}-q^{13}+q^{11}+q^7+q^5+2 q^3+2 q+ q^{-1} +2 q^{-3} - q^{-5} - q^{-9} - q^{-13} }

A4 Invariants.

Weight	Invariant
0,1,0,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{44}+q^{38}-2 q^{34}-q^{32}+q^{30}-2 q^{28}-4 q^{26}+2 q^{22}-3 q^{20}-3 q^{18}+2 q^{16}-q^{14}-4 q^{12}+3 q^8+3 q^6+5 q^4+12 q^2+9+5 q^{-2} +5 q^{-4} +3 q^{-6} -6 q^{-8} -7 q^{-10} -3 q^{-12} -4 q^{-14} -5 q^{-16} -2 q^{-18} +2 q^{-20} + q^{-22} + q^{-26} + q^{-28} }
1,0,0,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{26}-q^{22}-q^{20}-q^{16}+q^{14}+q^{10}+q^8+q^6+2 q^4+2 q^2+2+ q^{-2} +2 q^{-4} - q^{-6} - q^{-10} - q^{-12} - q^{-16} }

B2 Invariants.

Weight	Invariant
0,1	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{34}+q^{32}-2 q^{30}+3 q^{28}-4 q^{26}+3 q^{24}-4 q^{22}+2 q^{20}-q^{18}+3 q^{14}-3 q^{12}+7 q^{10}-6 q^8+7 q^6-5 q^4+6 q^2-4+2 q^{-2} + q^{-4} -2 q^{-6} +3 q^{-8} -3 q^{-10} +4 q^{-12} -3 q^{-14} +3 q^{-16} -2 q^{-18} - q^{-22} }
1,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{56}-q^{52}-q^{50}+q^{48}+2 q^{46}-q^{44}-3 q^{42}+3 q^{38}+2 q^{36}-4 q^{34}-4 q^{32}+q^{30}+3 q^{28}-4 q^{24}-q^{22}+2 q^{20}+2 q^{18}-2 q^{16}-q^{14}+2 q^{12}+3 q^{10}-q^6+q^4+5 q^2+3- q^{-2} - q^{-4} +4 q^{-6} +3 q^{-8} -2 q^{-10} -4 q^{-12} +3 q^{-16} -4 q^{-20} -3 q^{-22} +2 q^{-26} - q^{-30} + q^{-36} }

D4 Invariants.

Weight

Invariant

1,0,0,0

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{46}-q^{44}+q^{42}-2 q^{40}+3 q^{38}-3 q^{36}+2 q^{34}-4 q^{32}+2 q^{30}-3 q^{28}-q^{24}-q^{22}+q^{20}-3 q^{18}+4 q^{16}-4 q^{14}+5 q^{12}-5 q^{10}+6 q^8-2 q^6+8 q^4+7+2 q^{-2} +4 q^{-4} +3 q^{-6} -2 q^{-8} -5 q^{-12} + q^{-14} -5 q^{-16} -4 q^{-20} +2 q^{-22} - q^{-24} + q^{-26} + q^{-30} }

G2 Invariants.

Weight

Invariant

1,0

Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{80}-q^{78}+2 q^{76}-3 q^{74}+2 q^{72}-q^{70}-3 q^{68}+6 q^{66}-8 q^{64}+8 q^{62}-7 q^{60}-q^{58}+6 q^{56}-11 q^{54}+12 q^{52}-7 q^{50}+6 q^{46}-9 q^{44}+7 q^{42}-q^{40}-7 q^{38}+11 q^{36}-10 q^{34}+4 q^{32}+6 q^{30}-13 q^{28}+16 q^{26}-12 q^{24}+5 q^{22}+2 q^{20}-10 q^{18}+14 q^{16}-12 q^{14}+9 q^{12}-3 q^8+10 q^6-8 q^4+6 q^2+2-4 q^{-2} +10 q^{-4} -6 q^{-6} + q^{-8} +10 q^{-10} -12 q^{-12} +13 q^{-14} -7 q^{-16} -4 q^{-18} +8 q^{-20} -11 q^{-22} +9 q^{-24} -5 q^{-26} - q^{-28} +3 q^{-30} -5 q^{-32} +2 q^{-34} - q^{-36} - q^{-38} - q^{-44} + q^{-52} }