7 2 Quantum Invariants

Further quantum knot invariants for 7_2.

A1 Invariants.

Weight	Invariant
1	$-q^{17}+q^{11}+q^{5}+q$
2	$q^{48}-q^{44}-q^{38}+q^{34}-q^{26}-q^{24}+2q^{14}+q^{12}+q^{8}+q^{2}$
3	$-q^{93}+q^{89}+q^{87}-q^{83}+q^{79}-q^{75}-q^{73}+q^{69}+q^{61}+q^{59}-q^{55}-q^{49}-q^{47}-q^{41}-q^{39}+q^{33}-q^{29}+q^{25}+q^{23}+q^{17}+q^{15}+q^{13}+q^{11}+q^{3}$
4	$q^{152}-q^{148}-q^{146}-q^{144}+q^{142}+q^{140}+q^{138}-2q^{134}+q^{130}+q^{128}+q^{126}-q^{124}-q^{122}-q^{120}+q^{116}-q^{110}-q^{108}+q^{104}+2q^{102}-q^{98}+q^{94}+2q^{92}-2q^{88}-q^{86}+q^{82}-q^{78}+q^{74}+q^{72}-q^{68}+q^{64}-q^{60}-q^{58}-2q^{56}-2q^{54}-q^{52}+q^{50}+q^{48}-q^{46}-q^{44}-2q^{42}+q^{40}+3q^{38}+2q^{36}-2q^{32}+2q^{28}+q^{26}+q^{24}-q^{22}+q^{18}+q^{16}+2q^{14}+q^{4}$
5	$-q^{225}+q^{221}+q^{219}+q^{217}-q^{213}-2q^{211}-q^{209}+q^{205}+2q^{203}+q^{201}-q^{199}-2q^{197}-q^{195}+q^{191}+2q^{189}+q^{187}-q^{183}-q^{181}-q^{179}+q^{175}+q^{173}+q^{171}-q^{167}-2q^{165}-2q^{163}+2q^{159}+2q^{157}-2q^{153}-2q^{151}-q^{149}+2q^{147}+4q^{145}+2q^{143}-q^{141}-2q^{139}-2q^{137}+2q^{133}+q^{131}-q^{129}-3q^{127}-2q^{125}+2q^{121}+2q^{119}+q^{117}-q^{115}-q^{113}+q^{111}+2q^{109}+q^{107}-q^{103}+2q^{99}+q^{97}-q^{93}-q^{91}-q^{89}-3q^{77}-3q^{75}-2q^{73}+q^{71}+2q^{69}+3q^{67}+q^{65}-3q^{63}-5q^{61}-3q^{59}+2q^{57}+4q^{55}+3q^{53}-q^{51}-4q^{49}-3q^{47}+q^{45}+4q^{43}+3q^{41}-q^{37}-q^{35}+q^{33}+2q^{31}+2q^{29}-q^{25}+q^{19}+2q^{17}+q^{15}+q^{5}$
6	$q^{312}-q^{308}-q^{306}-q^{304}+2q^{298}+2q^{296}+q^{294}-q^{290}-2q^{288}-3q^{286}+q^{282}+2q^{280}+2q^{278}+q^{276}-3q^{272}-2q^{270}-q^{268}+q^{264}+2q^{262}+2q^{260}-q^{254}-q^{252}-2q^{250}-q^{248}+q^{246}+q^{244}+2q^{242}+2q^{240}+2q^{238}-q^{236}-3q^{234}-3q^{232}-2q^{230}+q^{228}+3q^{226}+4q^{224}+q^{222}-2q^{220}-4q^{218}-5q^{216}-2q^{214}+2q^{212}+5q^{210}+4q^{208}+2q^{206}-q^{204}-4q^{202}-3q^{200}+3q^{196}+4q^{194}+3q^{192}-4q^{188}-5q^{186}-3q^{184}+2q^{180}+3q^{178}+2q^{176}-2q^{174}-4q^{172}-2q^{170}+q^{168}+3q^{166}+3q^{164}+2q^{162}-q^{160}-4q^{158}-2q^{156}+q^{154}+2q^{152}+2q^{150}+q^{148}-q^{146}-2q^{144}+2q^{140}+q^{138}-q^{134}-q^{132}-q^{130}+q^{128}+2q^{126}+2q^{124}+q^{122}-q^{114}-q^{112}+q^{110}+2q^{108}+2q^{106}+q^{104}-q^{102}-4q^{100}-6q^{98}-4q^{96}-q^{94}+2q^{92}+6q^{90}+4q^{88}-q^{86}-6q^{84}-7q^{82}-5q^{80}+6q^{76}+7q^{74}+3q^{72}-3q^{70}-5q^{68}-4q^{66}-q^{64}+4q^{62}+4q^{60}+q^{58}-2q^{56}-2q^{54}-q^{52}+3q^{48}+2q^{46}-q^{42}+q^{38}+q^{36}+3q^{34}+q^{32}-q^{28}+2q^{20}+q^{18}+q^{16}+q^{6}$

A2 Invariants.

Weight	Invariant
1,0	$-q^{26}-q^{24}+q^{18}+q^{16}+q^{8}+q^{6}+q^{2}$
1,1	$q^{68}+2q^{64}-2q^{62}+2q^{60}-4q^{58}-2q^{54}+2q^{50}+4q^{46}-3q^{44}+2q^{42}-4q^{40}+2q^{38}-4q^{36}-2q^{32}-2q^{30}+2q^{24}+2q^{22}+3q^{20}+2q^{18}+2q^{16}+2q^{12}+2q^{8}+q^{4}$
2,0	$q^{66}+q^{64}+q^{62}-q^{60}-q^{58}-q^{56}-q^{54}-q^{52}-q^{50}+q^{48}+q^{46}+q^{44}-q^{38}-2q^{36}-2q^{34}-q^{32}+q^{26}+q^{24}+q^{22}+3q^{20}+2q^{18}+q^{16}+q^{12}+q^{10}+q^{4}$
3,0	$-q^{120}-q^{118}-q^{116}+2q^{112}+2q^{110}+2q^{108}-2q^{96}-2q^{94}-2q^{92}+q^{88}+q^{86}+q^{84}+q^{82}+2q^{80}+3q^{78}+2q^{76}-q^{72}-2q^{70}-q^{68}-3q^{66}-3q^{64}-3q^{62}-q^{60}-q^{56}-q^{54}-q^{52}-q^{48}-q^{40}-q^{38}+2q^{36}+3q^{34}+3q^{32}+2q^{30}+2q^{26}+3q^{24}+3q^{22}+q^{20}+q^{16}+q^{14}+q^{6}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{54}+q^{50}-q^{46}-q^{44}-2q^{42}-2q^{40}-q^{38}-q^{34}+q^{32}+q^{30}+q^{28}+q^{26}+q^{24}+q^{22}+q^{16}+q^{12}+2q^{10}+q^{8}+q^{4}$
1,0,0	$-q^{35}-q^{33}-q^{31}+q^{25}+q^{23}+q^{21}+q^{11}+q^{9}+q^{7}+q^{3}$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{72}+q^{70}+q^{68}+q^{66}+q^{64}-q^{62}-2q^{60}-2q^{58}-2q^{56}-3q^{54}-3q^{52}-q^{50}-q^{48}-q^{46}+q^{42}+q^{40}+2q^{38}+2q^{36}+2q^{34}+q^{32}+q^{30}+q^{28}+q^{22}+q^{20}+q^{18}+q^{16}+2q^{14}+2q^{12}+q^{10}+q^{6}$
1,0,0,0	$-q^{44}-q^{42}-q^{40}-q^{38}+q^{32}+q^{30}+q^{28}+q^{26}+q^{14}+q^{12}+q^{10}+q^{8}+q^{4}$

B2 Invariants.

Weight	Invariant
0,1	$-q^{54}-q^{50}-q^{46}+q^{44}+q^{38}+q^{34}-q^{32}+q^{30}-q^{28}+q^{26}-q^{24}+q^{22}+q^{16}+q^{12}+q^{8}+q^{4}$
1,0	$q^{88}+q^{80}-q^{76}-q^{74}-q^{68}-q^{66}-q^{64}-q^{56}+q^{44}+q^{42}+q^{36}+q^{34}+q^{26}+q^{18}+q^{16}+q^{14}+q^{6}$

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^{74}+q^{70}+q^{66}-q^{64}-q^{62}-2 q^{60}-2 q^{58}-2 q^{56}-2 q^{54}-q^{52}-q^{50}+q^{48}+2 q^{44}+q^{42}+2 q^{40}+2 q^{36}+q^{32}+q^{22}+q^{18}+q^{16}+2 q^{14}+q^{12}+q^{10}+q^6}

G2 Invariants.

Weight	Invariant
1,0	$q^{128}+q^{124}-q^{122}-q^{116}+2q^{114}-2q^{112}-q^{110}-q^{106}-2q^{102}-2q^{100}-q^{92}-q^{90}+2q^{88}+q^{78}+3q^{74}+q^{70}+q^{68}-q^{66}+2q^{64}-q^{60}+q^{54}-q^{50}-q^{40}+q^{38}+q^{36}+q^{34}+q^{28}+q^{24}+q^{20}+q^{14}+q^{10}$