10 131 Quantum Invariants

Further quantum knot invariants for 10_131.

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^{15}-2 q^{13}+2 q^5-q^3+2 q}
2	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^{54}-q^{52}-2 q^{50}+3 q^{48}+q^{46}-5 q^{44}+2 q^{42}+4 q^{40}-5 q^{38}+5 q^{34}-2 q^{32}-3 q^{30}+4 q^{28}+q^{26}-4 q^{24}+3 q^{20}-2 q^{18}-5 q^{16}+5 q^{14}+q^{12}-5 q^{10}+4 q^8+2 q^6-2 q^4+2 q^2+1}
3	$q^{105}-q^{103}-2q^{101}+4q^{97}+3q^{95}-5q^{93}-7q^{91}+3q^{89}+11q^{87}+2q^{85}-13q^{83}-9q^{81}+11q^{79}+14q^{77}-4q^{75}-17q^{73}-q^{71}+15q^{69}+8q^{67}-14q^{65}-12q^{63}+11q^{61}+14q^{59}-8q^{57}-16q^{55}+6q^{53}+16q^{51}-3q^{49}-16q^{47}+q^{45}+13q^{43}+7q^{41}-11q^{39}-11q^{37}+3q^{35}+16q^{33}+3q^{31}-17q^{29}-10q^{27}+15q^{25}+14q^{23}-11q^{21}-14q^{19}+5q^{17}+10q^{15}-q^{13}-6q^{11}+q^{9}+4q^{7}-q^{5}+q^{3}+2q^{-1}$

A2 Invariants.

Weight	Invariant
1,0	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^{28}+q^{22}-2 q^{20}-q^{18}-q^{16}-q^{14}+q^{12}+2 q^8+q^6+2 q^2}
1,1	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^{76}-2 q^{74}+6 q^{72}-14 q^{70}+21 q^{68}-32 q^{66}+44 q^{64}-48 q^{62}+47 q^{60}-40 q^{58}+28 q^{56}-6 q^{54}-22 q^{52}+38 q^{50}-60 q^{48}+76 q^{46}-84 q^{44}+88 q^{42}-74 q^{40}+66 q^{38}-40 q^{36}+18 q^{34}+4 q^{32}-26 q^{30}+36 q^{28}-46 q^{26}+36 q^{24}-38 q^{22}+28 q^{20}-24 q^{18}+14 q^{16}-8 q^{14}+13 q^{12}+4 q^8+2 q^4+2 q^2}
2,0	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^{72}-q^{68}-q^{66}+q^{64}+2 q^{62}-2 q^{60}-2 q^{58}+q^{56}+q^{54}-2 q^{52}-3 q^{50}+2 q^{48}+4 q^{46}+2 q^{40}+2 q^{38}-q^{30}-2 q^{28}-q^{26}-4 q^{24}-6 q^{22}+q^{20}+2 q^{18}-q^{16}+5 q^{12}+5 q^{10}-q^6+3 q^4+q^2}

A3 Invariants.

Weight	Invariant
0,1,0	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^{60}-q^{58}+q^{56}-4 q^{52}+q^{50}-q^{48}-2 q^{46}+5 q^{44}+3 q^{42}+6 q^{38}+q^{36}-4 q^{34}-2 q^{32}-3 q^{30}-3 q^{28}-4 q^{26}-q^{24}+2 q^{22}-3 q^{20}+5 q^{16}-2 q^{14}+2 q^{12}+6 q^{10}+3 q^4}
1,0,0	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^{37}+q^{33}+q^{29}-2 q^{27}-q^{25}-2 q^{23}-q^{21}-q^{19}+q^{15}+2 q^{11}+q^9+2 q^7+2 q^3}

A4 Invariants.

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

B2 Invariants.

Weight	Invariant
0,1	$q^{60}-q^{58}+3q^{56}-4q^{54}+4q^{52}-5q^{50}+5q^{48}-4q^{46}+3q^{44}-q^{42}-2q^{40}+4q^{38}-7q^{36}+8q^{34}-10q^{32}+9q^{30}-9q^{28}+6q^{26}-5q^{24}+2q^{22}+q^{20}-2q^{18}+5q^{16}-4q^{14}+6q^{12}-4q^{10}+4q^{8}-2q^{6}+3q^{4}$
1,0	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^{98}-q^{94}-q^{92}+2 q^{90}+2 q^{88}-3 q^{86}-4 q^{84}+4 q^{80}+q^{78}-5 q^{76}-3 q^{74}+4 q^{72}+6 q^{70}+q^{68}-4 q^{66}+5 q^{62}+4 q^{60}-2 q^{58}-3 q^{56}+q^{54}+2 q^{52}-3 q^{50}-5 q^{48}-q^{46}+3 q^{44}-q^{42}-5 q^{40}-3 q^{38}+3 q^{36}+3 q^{34}-3 q^{32}-4 q^{30}+q^{28}+6 q^{26}+q^{24}-3 q^{22}-2 q^{20}+4 q^{18}+5 q^{16}+q^{14}-2 q^{12}-q^{10}+q^8+3 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^{82}-q^{80}+2 q^{78}-3 q^{76}+3 q^{74}-5 q^{72}+2 q^{70}-5 q^{68}+4 q^{66}-3 q^{64}+3 q^{62}+q^{60}+4 q^{58}+5 q^{56}+6 q^{52}-5 q^{50}+5 q^{48}-10 q^{46}+4 q^{44}-11 q^{42}+3 q^{40}-9 q^{38}+3 q^{36}-4 q^{34}+2 q^{32}-q^{30}-q^{28}+2 q^{26}-2 q^{24}+5 q^{22}-3 q^{20}+5 q^{18}-q^{16}+7 q^{14}+3 q^{10}-q^8+3 q^6}

G2 Invariants.

Weight

Invariant

1,0

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^{142}-q^{140}+3 q^{138}-5 q^{136}+3 q^{134}-2 q^{132}-4 q^{130}+10 q^{128}-14 q^{126}+14 q^{124}-7 q^{122}-4 q^{120}+14 q^{118}-19 q^{116}+18 q^{114}-8 q^{112}-2 q^{110}+13 q^{108}-15 q^{106}+12 q^{104}+q^{102}-8 q^{100}+14 q^{98}-11 q^{96}+2 q^{94}+7 q^{92}-15 q^{90}+19 q^{88}-18 q^{86}+9 q^{84}+2 q^{82}-17 q^{80}+21 q^{78}-25 q^{76}+14 q^{74}-4 q^{72}-11 q^{70}+16 q^{68}-18 q^{66}+11 q^{64}+q^{62}-12 q^{60}+14 q^{58}-9 q^{56}-q^{54}+11 q^{52}-15 q^{50}+14 q^{48}-4 q^{46}-3 q^{44}+10 q^{42}-14 q^{40}+14 q^{38}-7 q^{36}+2 q^{34}+4 q^{32}-7 q^{30}+8 q^{28}-5 q^{26}+6 q^{24}-q^{22}+2 q^{18}-2 q^{16}+3 q^{14}-q^{12}+2 q^{10}+q^8}