9 2 Quantum Invariants

Further quantum knot invariants for 9_2.

A1 Invariants.

Weight	Invariant
1	[math]\displaystyle{ -q^{21}+q^{15}+q^5+q }[/math]
2	[math]\displaystyle{ q^{60}-q^{56}-q^{50}+q^{46}-q^{30}-q^{28}+q^{18}+q^{16}+q^{14}+q^8+q^2 }[/math]
3	[math]\displaystyle{ -q^{117}+q^{113}+q^{111}-q^{107}+q^{103}-q^{99}-q^{97}+q^{93}+q^{73}+q^{71}-q^{67}-q^{61}-q^{59}-q^{53}+q^{49}+q^{47}-q^{43}-q^{41}-q^{39}+q^{37}-q^{33}-q^{31}+q^{29}+2 q^{27}-q^{23}+q^{21}+2 q^{19}+q^{17}+q^{11}+q^3 }[/math]
4	[math]\displaystyle{ q^{192}-q^{188}-q^{186}-q^{184}+q^{182}+q^{180}+q^{178}-2 q^{174}+q^{170}+q^{168}+q^{166}-q^{164}-q^{162}-q^{160}+q^{156}-q^{134}-q^{132}+q^{128}+2 q^{126}-q^{122}+q^{118}+2 q^{116}-2 q^{112}-q^{110}+q^{106}-2 q^{102}-q^{100}+q^{96}+q^{94}+q^{90}+q^{88}+q^{86}-q^{82}-q^{80}+q^{76}-q^{72}-q^{70}-q^{68}-q^{66}+q^{62}-q^{60}-2 q^{58}-2 q^{56}+2 q^{52}+q^{50}-2 q^{46}+q^{44}+2 q^{42}+q^{40}-q^{38}-2 q^{36}+q^{34}+2 q^{32}+q^{30}-q^{26}+q^{24}+q^{22}+q^{20}+q^{18}+q^{14}+q^4 }[/math]
5	[math]\displaystyle{ -q^{285}+q^{281}+q^{279}+q^{277}-q^{273}-2 q^{271}-q^{269}+q^{265}+2 q^{263}+q^{261}-q^{259}-2 q^{257}-q^{255}+q^{251}+2 q^{249}+q^{247}-q^{243}-q^{241}-q^{239}+q^{235}+q^{213}+q^{211}-q^{207}-2 q^{205}-2 q^{203}+2 q^{199}+2 q^{197}-2 q^{193}-2 q^{191}-q^{189}+2 q^{187}+4 q^{185}+2 q^{183}-q^{181}-2 q^{179}-2 q^{177}+2 q^{173}+2 q^{171}-2 q^{167}-2 q^{165}-q^{163}+q^{159}+q^{157}-q^{155}-q^{153}-q^{151}+q^{147}+2 q^{145}+q^{143}-q^{139}-q^{137}+q^{135}+2 q^{133}+q^{131}-q^{127}+q^{123}-q^{119}-2 q^{117}-q^{115}+q^{113}+2 q^{111}+q^{109}-q^{105}-q^{103}-2 q^{101}+q^{97}+2 q^{95}+2 q^{93}+q^{91}-2 q^{89}-3 q^{87}-2 q^{85}+q^{81}+q^{79}-q^{77}-2 q^{75}-3 q^{73}-q^{71}+q^{69}+q^{67}-q^{63}+q^{57}-q^{53}+2 q^{49}+3 q^{47}+q^{45}-q^{43}-q^{41}-q^{39}+q^{37}+2 q^{35}+q^{33}+q^{23}+q^{21}+q^{19}+q^{17}+q^5 }[/math]

A2 Invariants.

Weight	Invariant
1,0	[math]\displaystyle{ -q^{32}-q^{30}+q^{24}+q^{22}+q^8+q^6+q^2 }[/math]
1,1	[math]\displaystyle{ q^{84}+2 q^{80}-2 q^{78}+2 q^{76}-4 q^{74}+2 q^{72}-4 q^{70}+4 q^{62}-q^{60}+4 q^{58}-4 q^{56}+2 q^{54}-4 q^{52}+2 q^{50}-2 q^{48}+2 q^{46}-2 q^{42}-2 q^{40}-2 q^{38}-2 q^{36}+2 q^{30}+2 q^{28}+2 q^{26}+2 q^{24}+q^{20}+2 q^{16}+2 q^{12}+2 q^8+q^4 }[/math]
2,0	[math]\displaystyle{ q^{82}+q^{80}+q^{78}-q^{76}-q^{74}-q^{72}-q^{70}-q^{68}-q^{66}+q^{64}+q^{62}+q^{60}-q^{44}-2 q^{42}-2 q^{40}-q^{38}+q^{32}+q^{30}+q^{28}+2 q^{26}+q^{24}+q^{20}+q^{18}+q^{16}+q^{12}+q^{10}+q^4 }[/math]

A3 Invariants.

Weight	Invariant
0,1,0	[math]\displaystyle{ q^{66}+q^{62}-q^{58}-q^{56}-q^{54}-q^{52}-q^{50}-q^{46}-q^{42}+q^{38}+q^{36}+q^{34}+q^{32}+q^{30}+q^{16}+q^{12}+2 q^{10}+q^8+q^4 }[/math]
1,0,0	[math]\displaystyle{ -q^{43}-q^{41}-q^{39}+q^{33}+q^{31}+q^{29}+q^{11}+q^9+q^7+q^3 }[/math]

B2 Invariants.

Weight	Invariant
0,1	[math]\displaystyle{ -q^{66}-q^{62}-q^{58}+q^{56}-q^{54}+q^{52}+q^{50}+q^{46}+q^{42}-2 q^{40}+q^{38}-q^{36}+q^{34}-q^{32}+q^{30}+q^{16}+q^{12}+q^8+q^4 }[/math]
1,0	[math]\displaystyle{ q^{108}+q^{100}-q^{96}-q^{94}-q^{88}-q^{86}+q^{82}-q^{76}-q^{68}-q^{66}+q^{56}+q^{54}+q^{48}+q^{46}+q^{26}+q^{18}+q^{16}+q^{14}+q^6 }[/math]

G2 Invariants.

Weight	Invariant
1,0	[math]\displaystyle{ q^{156}+q^{152}-q^{150}+q^{142}-2 q^{140}+q^{138}-q^{136}-q^{134}-2 q^{130}-q^{128}-q^{126}-q^{124}-q^{118}+q^{112}-q^{108}+q^{106}+q^{104}+2 q^{102}+q^{98}+q^{94}+q^{92}-2 q^{90}+q^{88}+q^{86}+q^{76}-q^{72}+q^{66}-q^{62}-q^{52}+q^{48}+q^{38}+q^{34}+q^{28}+q^{24}+q^{20}+q^{14}+q^{10} }[/math]