10 133 Quantum Invariants

Further quantum knot invariants for 10_133.

A1 Invariants.

Weight	Invariant
1	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^{19}-q^{17}-q^{13}+2 q^5+q}
2	$q^{54}-q^{52}-2q^{50}+2q^{48}+q^{46}-2q^{44}+2q^{40}-q^{36}+q^{34}+q^{32}-2q^{30}+q^{26}-2q^{24}-q^{22}+q^{20}-2q^{16}+q^{14}+2q^{12}+q^{6}+q^{4}+q^{2}$
3	$q^{105}-q^{103}-2q^{101}+3q^{97}+3q^{95}-3q^{93}-4q^{91}+4q^{87}+3q^{85}-2q^{83}-4q^{81}-q^{79}+3q^{77}+4q^{75}-2q^{73}-6q^{71}-2q^{69}+6q^{67}+4q^{65}-5q^{63}-4q^{61}+5q^{59}+5q^{57}-3q^{55}-3q^{53}+3q^{51}+3q^{49}-4q^{47}-3q^{45}+q^{43}+3q^{41}-2q^{37}-5q^{35}+2q^{33}+6q^{31}+q^{29}-8q^{27}-6q^{25}+7q^{23}+7q^{21}-3q^{19}-6q^{17}+q^{15}+5q^{13}+2q^{11}-2q^{9}+q^{5}+2q^{3}$

A2 Invariants.

Weight	Invariant
1,0	$q^{28}-2q^{20}-q^{18}-q^{16}+q^{12}+q^{10}+2q^{8}+q^{6}+q^{2}$
1,1	$q^{76}-2q^{74}+4q^{72}-8q^{70}+11q^{68}-14q^{66}+14q^{64}-12q^{62}+8q^{60}-8q^{56}+14q^{54}-19q^{52}+22q^{50}-20q^{48}+20q^{46}-16q^{44}+12q^{42}-6q^{40}+6q^{36}-10q^{34}+12q^{32}-14q^{30}+6q^{28}-8q^{26}-2q^{24}-2q^{20}+2q^{18}+4q^{16}+2q^{14}+6q^{12}+4q^{8}+q^{4}$
2,0	$q^{72}-q^{68}-q^{66}+q^{62}-q^{60}-q^{58}+q^{52}+q^{50}+2q^{48}+3q^{46}+q^{44}-2q^{40}-q^{38}-2q^{36}-2q^{34}-2q^{32}-q^{30}-q^{28}-q^{26}-2q^{22}+2q^{20}+2q^{18}+2q^{16}+q^{14}+2q^{12}+3q^{10}+q^{8}+q^{4}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{60}-q^{58}-2q^{52}-q^{48}+q^{46}+2q^{44}+3q^{42}+3q^{40}+3q^{38}-3q^{34}-4q^{32}-6q^{30}-4q^{28}-3q^{26}+2q^{22}+2q^{20}+3q^{18}+3q^{16}+q^{14}+2q^{12}+2q^{10}+q^{8}+q^{4}$
1,0,0	$q^{37}+q^{33}-2q^{27}-2q^{25}-2q^{23}-q^{21}+q^{17}+2q^{15}+q^{13}+2q^{11}+q^{9}+q^{7}+q^{3}$

A4 Invariants.

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

B2 Invariants.

Weight	Invariant
0,1	$q^{60}-q^{58}+2q^{56}-2q^{54}+2q^{52}-2q^{50}+q^{48}-q^{46}+q^{42}-3q^{40}+3q^{38}-4q^{36}+3q^{34}-4q^{32}+2q^{30}-2q^{28}+q^{26}+2q^{20}-q^{18}+3q^{16}-q^{14}+2q^{12}+q^{8}+q^{4}$
1,0	$q^{98}-q^{94}-q^{92}+q^{90}+q^{88}-2q^{86}-2q^{84}+q^{82}+2q^{80}-q^{78}-2q^{76}+3q^{72}+2q^{70}+2q^{64}+2q^{62}+q^{60}-q^{58}-q^{56}-q^{52}-4q^{50}-3q^{48}-q^{46}-2q^{42}-3q^{40}+2q^{36}+q^{34}-q^{32}+q^{30}+2q^{28}+3q^{26}+q^{20}+2q^{18}+q^{16}+q^{14}+q^{6}$

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{82}-q^{80}+q^{78}-2q^{76}+2q^{74}-3q^{72}-2q^{68}+q^{66}+q^{62}+3q^{60}+2q^{58}+6q^{56}+q^{54}+4q^{52}-3q^{50}+q^{48}-7q^{46}-3q^{44}-8q^{42}-4q^{40}-5q^{38}-q^{36}+q^{32}+4q^{30}+2q^{28}+4q^{26}+q^{24}+4q^{22}+2q^{18}+q^{16}+2q^{14}+q^{12}+q^{10}+q^{6}$

G2 Invariants.

Weight

Invariant

1,0

$q^{142}-q^{140}+2q^{138}-3q^{136}+q^{134}-q^{132}-3q^{130}+6q^{128}-6q^{126}+4q^{124}-q^{122}-2q^{120}+5q^{118}-4q^{116}+2q^{114}+3q^{112}-3q^{110}+4q^{108}+q^{106}-3q^{104}+8q^{102}-6q^{100}+3q^{98}+q^{96}-4q^{94}+5q^{92}-6q^{90}+3q^{88}-4q^{86}-q^{82}-5q^{80}+q^{78}-4q^{76}-3q^{70}+q^{66}-4q^{64}+6q^{62}-5q^{60}+2q^{58}+4q^{56}-5q^{54}+7q^{52}-2q^{50}+q^{48}+3q^{46}-2q^{44}+q^{42}+2q^{40}+2q^{36}+q^{34}-q^{32}+2q^{30}-q^{28}+q^{26}+q^{24}-q^{22}+2q^{20}+q^{14}+q^{10}$