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5 2 Quantum Invariants

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Further quantum knot invariants for 5_2.

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}+2 q^8+q^2
3 -q^{69}+q^{65}+q^{63}-q^{59}+q^{55}-q^{51}+q^{47}+q^{45}-q^{43}-q^{37}-2 q^{35}-q^{33}-q^{31}+q^{27}+q^{21}+2 q^{19}-q^{15}+q^{13}+2 q^{11}+q^9+q^3
4 q^{112}-q^{108}-q^{106}-q^{104}+q^{102}+q^{100}+q^{98}-2 q^{94}+q^{90}+q^{88}-2 q^{84}-q^{82}+2 q^{78}+q^{76}-q^{74}+q^{70}+2 q^{68}+q^{66}-q^{64}-q^{56}-2 q^{54}-q^{52}-q^{50}-q^{48}+q^{44}-q^{42}-q^{40}-q^{38}+2 q^{34}-q^{30}-q^{28}+q^{26}+4 q^{24}+q^{22}-q^{18}+2 q^{14}+q^{12}+q^{10}+q^4
5 -q^{165}+q^{161}+q^{159}+q^{157}-q^{153}-2 q^{151}-q^{149}+q^{145}+2 q^{143}+q^{141}-q^{139}-2 q^{137}-q^{135}+q^{133}+2 q^{131}+2 q^{129}-2 q^{125}-3 q^{123}-q^{121}+q^{119}+2 q^{117}+q^{115}-2 q^{113}-2 q^{111}-q^{109}+q^{107}+3 q^{105}+q^{103}-q^{101}-q^{99}+q^{95}+2 q^{93}+q^{91}-q^{89}+q^{85}+q^{83}+q^{81}-q^{77}-q^{73}-q^{71}-q^{69}-q^{63}-2 q^{61}-2 q^{59}-2 q^{57}+2 q^{53}+q^{51}-q^{49}-2 q^{47}-2 q^{45}+q^{43}+3 q^{41}+3 q^{39}-3 q^{35}-2 q^{33}+3 q^{29}+3 q^{27}+2 q^{25}-q^{21}+q^{17}+q^{15}+q^{13}+q^{11}+q^5
6 q^{228}-q^{224}-q^{222}-q^{220}+2 q^{214}+2 q^{212}+q^{210}-q^{206}-2 q^{204}-3 q^{202}+q^{198}+2 q^{196}+2 q^{194}+q^{192}-q^{190}-4 q^{188}-2 q^{186}+2 q^{182}+3 q^{180}+4 q^{178}+q^{176}-3 q^{174}-3 q^{172}-3 q^{170}+2 q^{166}+4 q^{164}+2 q^{162}-2 q^{160}-3 q^{158}-4 q^{156}-q^{154}+2 q^{152}+4 q^{150}+2 q^{148}-q^{146}-2 q^{144}-3 q^{142}-q^{140}+q^{138}+3 q^{136}+q^{134}-2 q^{132}-2 q^{130}-2 q^{128}+q^{124}+2 q^{122}+q^{120}-q^{118}+q^{116}+q^{114}+2 q^{112}+2 q^{110}+2 q^{108}+q^{106}-q^{98}-q^{96}-q^{94}+q^{90}-q^{88}-q^{86}-2 q^{84}-2 q^{82}-2 q^{80}+3 q^{76}+q^{74}-2 q^{70}-4 q^{68}-4 q^{66}-q^{64}+4 q^{62}+3 q^{60}+2 q^{58}-2 q^{56}-4 q^{54}-5 q^{52}-q^{50}+5 q^{48}+4 q^{46}+4 q^{44}+q^{42}-2 q^{40}-4 q^{38}-2 q^{36}+2 q^{34}+2 q^{32}+3 q^{30}+2 q^{28}+q^{26}-q^{24}+q^{20}+q^{16}+q^{14}+q^{12}+q^6

A2 Invariants.

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

A3 Invariants.

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

A4 Invariants.

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

A5 Invariants.

Weight Invariant
0,0,0,0,1 -q^{41}-q^{39}-q^{37}-q^{35}-q^{33}+q^{27}+q^{25}+q^{23}+q^{21}+q^{19}+q^{17}+q^{15}+q^{13}+q^{11}+q^9+q^5
1,0,0,0,0 -q^{41}-q^{39}-q^{37}-q^{35}-q^{33}+q^{27}+q^{25}+q^{23}+q^{21}+q^{19}+q^{17}+q^{15}+q^{13}+q^{11}+q^9+q^5

A6 Invariants.

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

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

B3 Invariants.

Weight Invariant
1,0,0 q^{100}+q^{92}-q^{82}-q^{80}-q^{78}-q^{76}-q^{74}-q^{72}-q^{70}-q^{68}-q^{66}-q^{64}+q^{56}+q^{54}+q^{50}+q^{48}+q^{46}+q^{42}+q^{40}+q^{38}+q^{34}+q^{30}+q^{26}+q^{24}+q^{22}+q^{18}+q^{10}

B4 Invariants.

Weight Invariant
1,0,0,0 q^{132}+q^{124}-q^{110}-q^{106}-q^{104}-q^{102}-q^{100}-q^{98}-q^{96}-q^{94}-q^{92}-q^{90}-q^{88}-q^{86}+q^{74}+q^{72}+q^{70}+q^{66}+q^{64}+q^{62}+q^{58}+q^{56}+q^{54}+q^{50}+q^{46}+q^{42}+q^{38}+q^{34}+q^{32}+q^{30}+q^{26}+q^{22}+q^{14}

C3 Invariants.

Weight Invariant
1,0,0 -q^{58}-q^{54}-q^{48}+q^{30}+q^{26}+q^{22}+q^{20}+q^{18}+q^{16}+q^{12}+q^{10}+q^6

C4 Invariants.

Weight Invariant
1,0,0,0 -q^{74}-q^{70}-q^{62}-q^{60}-q^{48}+q^{42}+q^{38}+q^{34}+q^{30}+q^{28}+q^{26}+q^{24}+q^{22}+q^{20}+q^{16}+q^{14}+q^{12}+q^8

D4 Invariants.

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

G2 Invariants.

Weight Invariant
0,1 q^{204}+q^{192}+q^{190}+q^{188}-q^{186}-q^{184}-q^{176}+q^{172}-2 q^{168}-q^{166}-q^{156}+q^{154}+q^{152}+q^{142}+q^{140}+q^{138}+2 q^{136}+q^{134}-q^{132}-2 q^{130}-q^{122}-q^{120}-q^{118}-2 q^{116}-2 q^{114}-3 q^{112}-2 q^{110}-q^{108}-2 q^{106}-2 q^{104}-q^{102}-q^{100}-q^{98}-q^{96}-2 q^{94}-2 q^{92}+q^{88}+q^{86}+2 q^{84}+q^{82}+q^{78}+2 q^{74}+2 q^{72}+2 q^{70}+2 q^{68}+3 q^{66}+2 q^{64}+q^{62}+q^{60}+2 q^{58}+2 q^{56}+q^{54}+q^{50}+3 q^{48}+q^{46}+q^{36}+q^{34}+q^{32}+q^{30}+q^{18}
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}+2 q^{50}-q^{48}+2 q^{46}+q^{44}+q^{40}+q^{34}+2 q^{24}+q^{20}+q^{14}+q^{10}