9 23 Quantum Invariants

Further quantum knot invariants for 9_23.

A1 Invariants.

Weight	Invariant
1	$-q^{23}+2q^{21}-2q^{19}+q^{17}-2q^{15}+2q^{11}-q^{9}+3q^{7}-q^{5}+q^{3}$
2	$q^{64}-2q^{62}-2q^{60}+7q^{58}-q^{56}-9q^{54}+9q^{52}+3q^{50}-13q^{48}+6q^{46}+7q^{44}-10q^{42}+2q^{40}+7q^{38}-3q^{36}-6q^{34}+q^{32}+7q^{30}-10q^{28}-4q^{26}+14q^{24}-6q^{22}-6q^{20}+11q^{18}-2q^{16}-3q^{14}+5q^{12}-q^{8}+q^{6}$
3	$-q^{123}+2q^{121}+2q^{119}-3q^{117}-7q^{115}+q^{113}+16q^{111}+4q^{109}-21q^{107}-15q^{105}+22q^{103}+29q^{101}-20q^{99}-41q^{97}+10q^{95}+49q^{93}+3q^{91}-50q^{89}-16q^{87}+50q^{85}+24q^{83}-41q^{81}-30q^{79}+32q^{77}+32q^{75}-23q^{73}-32q^{71}+8q^{69}+33q^{67}+5q^{65}-24q^{63}-25q^{61}+21q^{59}+38q^{57}-10q^{55}-51q^{53}-3q^{51}+53q^{49}+14q^{47}-52q^{45}-23q^{43}+40q^{41}+24q^{39}-28q^{37}-23q^{35}+20q^{33}+16q^{31}-9q^{29}-10q^{27}+8q^{25}+7q^{23}-3q^{21}-3q^{19}+3q^{17}+2q^{15}-q^{11}+q^{9}$
4	$q^{200}-2q^{198}-2q^{196}+3q^{194}+3q^{192}+7q^{190}-8q^{188}-16q^{186}-4q^{184}+8q^{182}+42q^{180}+8q^{178}-38q^{176}-47q^{174}-26q^{172}+80q^{170}+74q^{168}-2q^{166}-91q^{164}-129q^{162}+48q^{160}+141q^{158}+111q^{156}-53q^{154}-222q^{152}-72q^{150}+115q^{148}+222q^{146}+68q^{144}-223q^{142}-187q^{140}+12q^{138}+241q^{136}+171q^{134}-143q^{132}-218q^{130}-80q^{128}+186q^{126}+200q^{124}-53q^{122}-179q^{120}-116q^{118}+108q^{116}+175q^{114}+23q^{112}-124q^{110}-133q^{108}+16q^{106}+128q^{104}+114q^{102}-40q^{100}-145q^{98}-109q^{96}+55q^{94}+212q^{92}+80q^{90}-120q^{88}-226q^{86}-64q^{84}+234q^{82}+193q^{80}-21q^{78}-254q^{76}-175q^{74}+153q^{72}+208q^{70}+81q^{68}-167q^{66}-188q^{64}+43q^{62}+122q^{60}+103q^{58}-58q^{56}-115q^{54}-3q^{52}+36q^{50}+61q^{48}-8q^{46}-44q^{44}+4q^{40}+22q^{38}-2q^{36}-13q^{34}+6q^{32}+7q^{28}-q^{26}-4q^{24}+3q^{22}+2q^{18}-q^{14}+q^{12}$
5	$-q^{295}+2q^{293}+2q^{291}-3q^{289}-3q^{287}-3q^{285}+8q^{281}+16q^{279}+4q^{277}-17q^{275}-29q^{273}-26q^{271}+8q^{269}+54q^{267}+74q^{265}+19q^{263}-70q^{261}-124q^{259}-94q^{257}+38q^{255}+183q^{253}+209q^{251}+46q^{249}-195q^{247}-327q^{245}-217q^{243}+118q^{241}+429q^{239}+433q^{237}+53q^{235}-435q^{233}-637q^{231}-334q^{229}+320q^{227}+792q^{225}+648q^{223}-82q^{221}-822q^{219}-937q^{217}-253q^{215}+725q^{213}+1141q^{211}+595q^{209}-506q^{207}-1226q^{205}-894q^{203}+234q^{201}+1175q^{199}+1097q^{197}+55q^{195}-1039q^{193}-1188q^{191}-273q^{189}+841q^{187}+1168q^{185}+438q^{183}-642q^{181}-1082q^{179}-522q^{177}+464q^{175}+946q^{173}+545q^{171}-302q^{169}-814q^{167}-563q^{165}+174q^{163}+686q^{161}+565q^{159}-13q^{157}-553q^{155}-629q^{153}-153q^{151}+432q^{149}+669q^{147}+394q^{145}-249q^{143}-752q^{141}-648q^{139}+33q^{137}+765q^{135}+919q^{133}+263q^{131}-717q^{129}-1145q^{127}-588q^{125}+552q^{123}+1285q^{121}+894q^{119}-303q^{117}-1273q^{115}-1131q^{113}-4q^{111}+1127q^{109}+1242q^{107}+280q^{105}-859q^{103}-1192q^{101}-493q^{99}+546q^{97}+1019q^{95}+593q^{93}-269q^{91}-766q^{89}-564q^{87}+43q^{85}+502q^{83}+475q^{81}+66q^{79}-295q^{77}-329q^{75}-112q^{73}+136q^{71}+212q^{69}+96q^{67}-57q^{65}-112q^{63}-66q^{61}+16q^{59}+55q^{57}+34q^{55}-2q^{53}-19q^{51}-16q^{49}+3q^{47}+10q^{45}+3q^{43}-2q^{41}+2q^{39}-2q^{37}+2q^{35}+5q^{33}-q^{31}-2q^{29}+2q^{27}+2q^{21}-q^{17}+q^{15}$

A2 Invariants.

Weight	Invariant
1,0	$-q^{34}+q^{32}+q^{30}-2q^{28}-2q^{24}-q^{22}+q^{20}+3q^{16}+q^{12}+2q^{10}-q^{8}+q^{6}$
1,1	$q^{92}-4q^{90}+12q^{88}-28q^{86}+50q^{84}-80q^{82}+118q^{80}-154q^{78}+184q^{76}-194q^{74}+186q^{72}-156q^{70}+93q^{68}-18q^{66}-74q^{64}+166q^{62}-244q^{60}+316q^{58}-352q^{56}+364q^{54}-340q^{52}+284q^{50}-212q^{48}+120q^{46}-36q^{44}-54q^{42}+108q^{40}-152q^{38}+165q^{36}-166q^{34}+154q^{32}-124q^{30}+105q^{28}-72q^{26}+56q^{24}-32q^{22}+23q^{20}-10q^{18}+6q^{16}-2q^{14}+q^{12}$
2,0	$q^{86}-q^{84}-2q^{82}+4q^{78}+3q^{76}-5q^{74}-2q^{72}+4q^{70}+2q^{68}-5q^{66}-3q^{64}+7q^{62}+2q^{60}-4q^{58}+5q^{54}-2q^{52}-4q^{50}-q^{48}-4q^{46}-6q^{44}-q^{42}+3q^{40}-6q^{38}-q^{36}+10q^{34}+4q^{32}-5q^{30}+2q^{28}+8q^{26}+2q^{24}-4q^{22}+2q^{20}+4q^{18}-q^{16}-q^{14}+q^{12}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{74}-2q^{72}+q^{70}+3q^{68}-6q^{66}+4q^{64}+4q^{62}-10q^{60}+5q^{58}+5q^{56}-9q^{54}+3q^{52}+8q^{50}-5q^{48}-2q^{46}-2q^{42}-7q^{40}-6q^{38}+8q^{36}-4q^{34}-4q^{32}+13q^{30}-5q^{26}+10q^{24}+q^{22}-3q^{20}+4q^{18}+q^{16}-q^{14}+q^{12}$
1,0,0	$-q^{45}+q^{43}+q^{39}-2q^{37}-3q^{33}-q^{31}-q^{29}+q^{27}+q^{25}+q^{23}+3q^{21}+2q^{17}+2q^{13}-q^{11}+q^{9}$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{96}-q^{94}-2q^{92}+3q^{90}+3q^{88}-4q^{86}-2q^{84}+6q^{82}+q^{80}-8q^{78}-q^{76}+9q^{74}-6q^{70}+7q^{68}+6q^{66}-6q^{64}-3q^{62}+2q^{60}-8q^{58}-11q^{56}-2q^{54}-2q^{52}-10q^{50}-2q^{48}+11q^{46}+2q^{44}-3q^{42}+8q^{40}+10q^{38}-q^{34}+5q^{32}+5q^{30}-q^{28}+3q^{24}+q^{22}-q^{20}+q^{18}$
1,0,0,0	$-q^{56}+q^{54}+q^{48}-2q^{46}-3q^{42}-2q^{40}-q^{38}-q^{36}+q^{34}+q^{32}+2q^{30}+q^{28}+3q^{26}+2q^{22}+q^{20}+2q^{16}-q^{14}+q^{12}$

B2 Invariants.

Weight	Invariant
0,1	$-q^{74}+2q^{72}-5q^{70}+7q^{68}-8q^{66}+10q^{64}-10q^{62}+10q^{60}-7q^{58}+3q^{56}+q^{54}-7q^{52}+10q^{50}-17q^{48}+18q^{46}-20q^{44}+18q^{42}-15q^{40}+12q^{38}-6q^{36}+2q^{34}+4q^{32}-7q^{30}+10q^{28}-9q^{26}+10q^{24}-7q^{22}+7q^{20}-4q^{18}+3q^{16}-q^{14}+q^{12}$
1,0	$q^{120}-2q^{116}-2q^{114}+3q^{112}+5q^{110}-2q^{108}-7q^{106}-2q^{104}+9q^{102}+7q^{100}-7q^{98}-11q^{96}+q^{94}+11q^{92}+4q^{90}-8q^{88}-7q^{86}+5q^{84}+8q^{82}-7q^{78}+6q^{74}+q^{72}-9q^{70}-5q^{68}+5q^{66}+3q^{64}-7q^{62}-8q^{60}+4q^{58}+8q^{56}-q^{54}-10q^{52}-q^{50}+11q^{48}+8q^{46}-5q^{44}-8q^{42}+q^{40}+10q^{38}+5q^{36}-3q^{34}-5q^{32}+q^{30}+4q^{28}+2q^{26}-q^{24}-q^{22}+q^{18}$

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{102}-2q^{100}+3q^{98}-4q^{96}+6q^{94}-7q^{92}+7q^{90}-8q^{88}+9q^{86}-8q^{84}+5q^{82}-4q^{80}+3q^{78}-4q^{74}+7q^{72}-6q^{70}+12q^{68}-14q^{66}+13q^{64}-16q^{62}+13q^{60}-18q^{58}+6q^{56}-13q^{54}+6q^{52}-4q^{50}+q^{48}+2q^{46}-q^{44}+11q^{42}-4q^{40}+8q^{38}-6q^{36}+10q^{34}-4q^{32}+6q^{30}-4q^{28}+5q^{26}-q^{24}+2q^{22}-q^{20}+q^{18}$

G2 Invariants.

Weight

Invariant

1,0

$q^{176}-2q^{174}+5q^{172}-8q^{170}+7q^{168}-3q^{166}-6q^{164}+20q^{162}-27q^{160}+30q^{158}-24q^{156}+q^{154}+23q^{152}-47q^{150}+55q^{148}-43q^{146}+18q^{144}+14q^{142}-38q^{140}+48q^{138}-38q^{136}+13q^{134}+12q^{132}-30q^{130}+30q^{128}-10q^{126}-16q^{124}+40q^{122}-43q^{120}+36q^{118}-13q^{116}-28q^{114}+56q^{112}-73q^{110}+66q^{108}-39q^{106}-6q^{104}+43q^{102}-64q^{100}+61q^{98}-44q^{96}+7q^{94}+20q^{92}-36q^{90}+30q^{88}-7q^{86}-16q^{84}+35q^{82}-29q^{80}+11q^{78}+13q^{76}-34q^{74}+47q^{72}-41q^{70}+28q^{68}-2q^{66}-19q^{64}+35q^{62}-35q^{60}+31q^{58}-17q^{56}+4q^{54}+7q^{52}-15q^{50}+16q^{48}-12q^{46}+9q^{44}-2q^{42}-q^{40}+3q^{38}-3q^{36}+3q^{34}-q^{32}+q^{30}$