10 43 Quantum Invariants

A1 Invariants.

Weight	Invariant
1	$-q^{11}+2q^{9}-3q^{7}+3q^{5}-2q^{3}+2q+2q^{-1}-2q^{-3}+3q^{-5}-3q^{-7}+2q^{-9}-q^{-11}$
2	$q^{32}-2q^{30}-q^{28}+7q^{26}-6q^{24}-7q^{22}+18q^{20}-7q^{18}-19q^{16}+24q^{14}-25q^{10}+18q^{8}+9q^{6}-17q^{4}+2q^{2}+13+2q^{-2}-17q^{-4}+9q^{-6}+18q^{-8}-25q^{-10}+24q^{-14}-19q^{-16}-7q^{-18}+18q^{-20}-7q^{-22}-6q^{-24}+7q^{-26}-q^{-28}-2q^{-30}+q^{-32}$
3	$-q^{63}+2q^{61}+q^{59}-3q^{57}-4q^{55}+6q^{53}+10q^{51}-12q^{49}-19q^{47}+16q^{45}+36q^{43}-15q^{41}-61q^{39}+8q^{37}+87q^{35}+11q^{33}-108q^{31}-42q^{29}+121q^{27}+75q^{25}-118q^{23}-108q^{21}+101q^{19}+125q^{17}-70q^{15}-134q^{13}+37q^{11}+122q^{9}+5q^{7}-104q^{5}-36q^{3}+74q+74q^{-1}-36q^{-3}-104q^{-5}+5q^{-7}+122q^{-9}+37q^{-11}-134q^{-13}-70q^{-15}+125q^{-17}+101q^{-19}-108q^{-21}-118q^{-23}+75q^{-25}+121q^{-27}-42q^{-29}-108q^{-31}+11q^{-33}+87q^{-35}+8q^{-37}-61q^{-39}-15q^{-41}+36q^{-43}+16q^{-45}-19q^{-47}-12q^{-49}+10q^{-51}+6q^{-53}-4q^{-55}-3q^{-57}+q^{-59}+2q^{-61}-q^{-63}$
4	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^{104}-2 q^{102}-q^{100}+3 q^{98}+4 q^{94}-9 q^{92}-5 q^{90}+13 q^{88}+4 q^{86}+12 q^{84}-36 q^{82}-28 q^{80}+39 q^{78}+42 q^{76}+52 q^{74}-95 q^{72}-123 q^{70}+30 q^{68}+134 q^{66}+214 q^{64}-114 q^{62}-324 q^{60}-141 q^{58}+184 q^{56}+529 q^{54}+76 q^{52}-480 q^{50}-514 q^{48}-11 q^{46}+803 q^{44}+498 q^{42}-361 q^{40}-852 q^{38}-439 q^{36}+762 q^{34}+866 q^{32}+26 q^{30}-866 q^{28}-803 q^{26}+412 q^{24}+904 q^{22}+402 q^{20}-557 q^{18}-859 q^{16}-14 q^{14}+639 q^{12}+585 q^{10}-142 q^8-662 q^6-364 q^4+261 q^2+619+261 q^{-2} -364 q^{-4} -662 q^{-6} -142 q^{-8} +585 q^{-10} +639 q^{-12} -14 q^{-14} -859 q^{-16} -557 q^{-18} +402 q^{-20} +904 q^{-22} +412 q^{-24} -803 q^{-26} -866 q^{-28} +26 q^{-30} +866 q^{-32} +762 q^{-34} -439 q^{-36} -852 q^{-38} -361 q^{-40} +498 q^{-42} +803 q^{-44} -11 q^{-46} -514 q^{-48} -480 q^{-50} +76 q^{-52} +529 q^{-54} +184 q^{-56} -141 q^{-58} -324 q^{-60} -114 q^{-62} +214 q^{-64} +134 q^{-66} +30 q^{-68} -123 q^{-70} -95 q^{-72} +52 q^{-74} +42 q^{-76} +39 q^{-78} -28 q^{-80} -36 q^{-82} +12 q^{-84} +4 q^{-86} +13 q^{-88} -5 q^{-90} -9 q^{-92} +4 q^{-94} +3 q^{-98} - q^{-100} -2 q^{-102} + q^{-104} }
5	$-q^{155}+2q^{153}+q^{151}-3q^{149}-q^{143}+4q^{141}+4q^{139}-9q^{137}-7q^{135}+6q^{133}+12q^{131}+16q^{129}-q^{127}-36q^{125}-53q^{123}-3q^{121}+79q^{119}+110q^{117}+45q^{115}-113q^{113}-234q^{111}-161q^{109}+133q^{107}+415q^{105}+377q^{103}-50q^{101}-606q^{99}-767q^{97}-218q^{95}+751q^{93}+1294q^{91}+739q^{89}-678q^{87}-1864q^{85}-1592q^{83}+260q^{81}+2330q^{79}+2681q^{77}+596q^{75}-2449q^{73}-3818q^{71}-1917q^{69}+2069q^{67}+4773q^{65}+3487q^{63}-1137q^{61}-5240q^{59}-5042q^{57}-286q^{55}+5120q^{53}+6284q^{51}+1888q^{49}-4364q^{47}-6945q^{45}-3430q^{43}+3166q^{41}+6948q^{39}+4586q^{37}-1734q^{35}-6354q^{33}-5255q^{31}+370q^{29}+5315q^{27}+5370q^{25}+839q^{23}-4086q^{21}-5123q^{19}-1709q^{17}+2816q^{15}+4583q^{13}+2406q^{11}-1615q^{9}-4030q^{7}-2923q^{5}+534q^{3}+3448q+3448q^{-1}+534q^{-3}-2923q^{-5}-4030q^{-7}-1615q^{-9}+2406q^{-11}+4583q^{-13}+2816q^{-15}-1709q^{-17}-5123q^{-19}-4086q^{-21}+839q^{-23}+5370q^{-25}+5315q^{-27}+370q^{-29}-5255q^{-31}-6354q^{-33}-1734q^{-35}+4586q^{-37}+6948q^{-39}+3166q^{-41}-3430q^{-43}-6945q^{-45}-4364q^{-47}+1888q^{-49}+6284q^{-51}+5120q^{-53}-286q^{-55}-5042q^{-57}-5240q^{-59}-1137q^{-61}+3487q^{-63}+4773q^{-65}+2069q^{-67}-1917q^{-69}-3818q^{-71}-2449q^{-73}+596q^{-75}+2681q^{-77}+2330q^{-79}+260q^{-81}-1592q^{-83}-1864q^{-85}-678q^{-87}+739q^{-89}+1294q^{-91}+751q^{-93}-218q^{-95}-767q^{-97}-606q^{-99}-50q^{-101}+377q^{-103}+415q^{-105}+133q^{-107}-161q^{-109}-234q^{-111}-113q^{-113}+45q^{-115}+110q^{-117}+79q^{-119}-3q^{-121}-53q^{-123}-36q^{-125}-q^{-127}+16q^{-129}+12q^{-131}+6q^{-133}-7q^{-135}-9q^{-137}+4q^{-139}+4q^{-141}-q^{-143}-3q^{-149}+q^{-151}+2q^{-153}-q^{-155}$

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^{12}-2 q^{10}+2 q^8-q^4+3 q^2-1+3 q^{-2} - q^{-4} +2 q^{-8} -2 q^{-10} + q^{-12} - q^{-16} }
1,1	$q^{44}-4q^{42}+12q^{40}-28q^{38}+56q^{36}-98q^{34}+162q^{32}-252q^{30}+353q^{28}-462q^{26}+576q^{24}-666q^{22}+697q^{20}-664q^{18}+554q^{16}-362q^{14}+80q^{12}+252q^{10}-592q^{8}+920q^{6}-1186q^{4}+1366q^{2}-1422+1366q^{-2}-1186q^{-4}+920q^{-6}-592q^{-8}+252q^{-10}+80q^{-12}-362q^{-14}+554q^{-16}-664q^{-18}+697q^{-20}-666q^{-22}+576q^{-24}-462q^{-26}+353q^{-28}-252q^{-30}+162q^{-32}-98q^{-34}+56q^{-36}-28q^{-38}+12q^{-40}-4q^{-42}+q^{-44}$
2,0	$q^{42}-2q^{38}-q^{36}+3q^{34}+3q^{32}-5q^{30}-3q^{28}+8q^{26}+2q^{24}-11q^{22}-5q^{20}+11q^{18}+2q^{16}-14q^{14}+2q^{12}+13q^{10}-4q^{8}-7q^{6}+8q^{4}+4q^{2}-4+4q^{-2}+8q^{-4}-7q^{-6}-4q^{-8}+13q^{-10}+2q^{-12}-14q^{-14}+2q^{-16}+11q^{-18}-5q^{-20}-11q^{-22}+2q^{-24}+8q^{-26}-3q^{-28}-5q^{-30}+3q^{-32}+3q^{-34}-q^{-36}-2q^{-38}+q^{-42}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{34}-2q^{32}+q^{30}+4q^{28}-8q^{26}+2q^{24}+9q^{22}-17q^{20}+3q^{18}+17q^{16}-20q^{14}+q^{12}+19q^{10}-14q^{8}-4q^{6}+13q^{4}-4+13q^{-4}-4q^{-6}-14q^{-8}+19q^{-10}+q^{-12}-20q^{-14}+17q^{-16}+3q^{-18}-17q^{-20}+9q^{-22}+2q^{-24}-8q^{-26}+4q^{-28}+q^{-30}-2q^{-32}+q^{-34}$
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^{15}-2 q^{13}+3 q^{11}-q^9+2 q^7-q^5+2 q^3+2 q^{-3} - q^{-5} +2 q^{-7} - q^{-9} +3 q^{-11} -2 q^{-13} + q^{-15} - q^{-17} - q^{-21} }

B2 Invariants.

Weight	Invariant
0,1	$-q^{34}+2q^{32}-5q^{30}+8q^{28}-12q^{26}+16q^{24}-21q^{22}+23q^{20}-23q^{18}+21q^{16}-14q^{14}+7q^{12}+5q^{10}-16q^{8}+28q^{6}-37q^{4}+44q^{2}-46+44q^{-2}-37q^{-4}+28q^{-6}-16q^{-8}+5q^{-10}+7q^{-12}-14q^{-14}+21q^{-16}-23q^{-18}+23q^{-20}-21q^{-22}+16q^{-24}-12q^{-26}+8q^{-28}-5q^{-30}+2q^{-32}-q^{-34}$
1,0	$q^{56}-2q^{52}-2q^{50}+3q^{48}+6q^{46}-q^{44}-10q^{42}-6q^{40}+10q^{38}+15q^{36}-5q^{34}-22q^{32}-8q^{30}+20q^{28}+20q^{26}-11q^{24}-25q^{22}-2q^{20}+23q^{18}+11q^{16}-16q^{14}-15q^{12}+10q^{10}+16q^{8}-4q^{6}-15q^{4}+3q^{2}+17+3q^{-2}-15q^{-4}-4q^{-6}+16q^{-8}+10q^{-10}-15q^{-12}-16q^{-14}+11q^{-16}+23q^{-18}-2q^{-20}-25q^{-22}-11q^{-24}+20q^{-26}+20q^{-28}-8q^{-30}-22q^{-32}-5q^{-34}+15q^{-36}+10q^{-38}-6q^{-40}-10q^{-42}-q^{-44}+6q^{-46}+3q^{-48}-2q^{-50}-2q^{-52}+q^{-56}$

G2 Invariants.

Weight

Invariant

1,0

$q^{80}-2q^{78}+5q^{76}-8q^{74}+8q^{72}-6q^{70}-3q^{68}+16q^{66}-30q^{64}+41q^{62}-46q^{60}+29q^{58}+2q^{56}-45q^{54}+88q^{52}-109q^{50}+105q^{48}-63q^{46}-10q^{44}+86q^{42}-144q^{40}+156q^{38}-115q^{36}+37q^{34}+48q^{32}-108q^{30}+123q^{28}-79q^{26}+5q^{24}+68q^{22}-104q^{20}+78q^{18}-6q^{16}-87q^{14}+161q^{12}-175q^{10}+130q^{8}-25q^{6}-99q^{4}+198q^{2}-235+198q^{-2}-99q^{-4}-25q^{-6}+130q^{-8}-175q^{-10}+161q^{-12}-87q^{-14}-6q^{-16}+78q^{-18}-104q^{-20}+68q^{-22}+5q^{-24}-79q^{-26}+123q^{-28}-108q^{-30}+48q^{-32}+37q^{-34}-115q^{-36}+156q^{-38}-144q^{-40}+86q^{-42}-10q^{-44}-63q^{-46}+105q^{-48}-109q^{-50}+88q^{-52}-45q^{-54}+2q^{-56}+29q^{-58}-46q^{-60}+41q^{-62}-30q^{-64}+16q^{-66}-3q^{-68}-6q^{-70}+8q^{-72}-8q^{-74}+5q^{-76}-2q^{-78}+q^{-80}$