10 152 Quantum Invariants

Further quantum knot invariants for 10_152.

A1 Invariants.

Weight	Invariant
1	$q^{27}-q^{25}-q^{21}-q^{19}-q^{15}+2q^{13}+q^{11}+q^{9}+q^{7}$
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^{74}-q^{72}-2 q^{70}+2 q^{68}+q^{66}-3 q^{64}+4 q^{60}-q^{58}-q^{56}+2 q^{54}+q^{52}-q^{50}+2 q^{46}-3 q^{44}-3 q^{42}+2 q^{40}-2 q^{38}-4 q^{36}+q^{34}+q^{32}-q^{30}-q^{28}+2 q^{26}+2 q^{24}+q^{22}+q^{20}+q^{18}+q^{16}+q^{14}}
3	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^{141}-q^{139}-2 q^{137}+3 q^{133}+3 q^{131}-4 q^{129}-5 q^{127}+2 q^{125}+9 q^{123}+4 q^{121}-10 q^{119}-10 q^{117}+6 q^{115}+11 q^{113}-2 q^{111}-12 q^{109}+9 q^{105}+2 q^{103}-6 q^{101}-3 q^{99}+3 q^{97}+3 q^{95}-q^{93}-4 q^{91}+q^{89}+6 q^{87}+3 q^{85}-7 q^{83}-3 q^{81}+10 q^{79}+9 q^{77}-8 q^{75}-8 q^{73}+3 q^{71}+10 q^{69}-2 q^{67}-11 q^{65}-5 q^{63}+3 q^{61}+5 q^{59}-2 q^{57}-6 q^{55}-4 q^{53}+q^{51}+2 q^{49}+q^{47}-q^{45}-q^{43}-q^{41}+2 q^{39}+2 q^{37}+2 q^{35}+q^{33}+q^{31}+q^{29}+q^{27}+q^{25}+q^{23}+q^{21}}

A2 Invariants.

Weight	Invariant
1,0	$2q^{40}-q^{34}-3q^{32}-2q^{30}-3q^{28}+q^{24}+2q^{22}+3q^{20}+2q^{18}+q^{16}+q^{14}$
1,1	$q^{108}-2q^{106}+4q^{104}-8q^{102}+9q^{100}-10q^{98}+10q^{96}-4q^{94}-4q^{92}+12q^{90}-20q^{88}+24q^{86}-25q^{84}+22q^{82}-16q^{80}+8q^{78}-q^{76}-8q^{74}+14q^{72}-16q^{70}+28q^{68}-18q^{66}+28q^{64}-10q^{62}+9q^{60}-4q^{58}-16q^{56}-2q^{54}-24q^{52}-4q^{50}-14q^{48}-2q^{46}+q^{44}+6q^{42}+8q^{40}+10q^{38}+7q^{36}+8q^{34}+4q^{32}+2q^{30}+q^{28}$
2,0	$3q^{100}-q^{96}-2q^{94}-3q^{92}-3q^{90}-6q^{88}+3q^{84}+5q^{82}+5q^{80}+6q^{78}+5q^{76}+5q^{74}+3q^{72}+q^{70}-3q^{66}-5q^{64}-7q^{62}-10q^{60}-8q^{58}-6q^{56}-5q^{54}-3q^{52}-q^{50}+4q^{48}+3q^{46}+3q^{44}+4q^{42}+6q^{40}+4q^{38}+3q^{36}+2q^{34}+2q^{32}+q^{30}+q^{28}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{88}-q^{86}-3q^{80}+q^{78}-q^{74}+2q^{72}+q^{70}+q^{68}+3q^{66}+3q^{64}+6q^{62}+4q^{60}+q^{58}-2q^{56}-8q^{54}-13q^{52}-10q^{50}-11q^{48}-6q^{46}+2q^{44}+3q^{42}+9q^{40}+7q^{38}+7q^{36}+5q^{34}+3q^{32}+q^{30}+q^{28}$
1,0,0	$2q^{53}+q^{51}+2q^{49}-2q^{45}-4q^{43}-5q^{41}-4q^{39}-3q^{37}+2q^{33}+4q^{31}+3q^{29}+4q^{27}+2q^{25}+q^{23}+q^{21}$
1,0,1	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^{142}-2 q^{140}+3 q^{138}-3 q^{136}-q^{134}+5 q^{132}-8 q^{130}+10 q^{128}-8 q^{126}+4 q^{124}-6 q^{120}+12 q^{118}-16 q^{116}+13 q^{114}-9 q^{112}+8 q^{110}-q^{108}+3 q^{106}+7 q^{104}-16 q^{102}+11 q^{100}-31 q^{98}+2 q^{96}-21 q^{94}-q^{92}+13 q^{90}+9 q^{88}+49 q^{86}+26 q^{84}+47 q^{82}+22 q^{80}+10 q^{78}-12 q^{76}-36 q^{74}-46 q^{72}-63 q^{70}-47 q^{68}-44 q^{66}-21 q^{64}-2 q^{62}+12 q^{60}+27 q^{58}+27 q^{56}+30 q^{54}+23 q^{52}+16 q^{50}+11 q^{48}+5 q^{46}+2 q^{44}+q^{42}}

A4 Invariants.

Weight	Invariant
0,1,0,0	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^{116}+2 q^{114}-q^{112}-q^{110}+q^{108}-2 q^{106}-6 q^{104}-4 q^{102}-2 q^{100}-4 q^{98}-3 q^{96}+3 q^{94}+7 q^{92}+6 q^{90}+14 q^{88}+18 q^{86}+15 q^{84}+13 q^{82}+12 q^{80}-2 q^{78}-13 q^{76}-21 q^{74}-27 q^{72}-32 q^{70}-30 q^{68}-18 q^{66}-9 q^{64}+q^{62}+10 q^{60}+17 q^{58}+16 q^{56}+17 q^{54}+12 q^{52}+9 q^{50}+6 q^{48}+3 q^{46}+q^{44}+q^{42}}
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 2 q^{66}+q^{64}+3 q^{62}+2 q^{60}-2 q^{56}-5 q^{54}-6 q^{52}-7 q^{50}-5 q^{48}-3 q^{46}+q^{44}+2 q^{42}+5 q^{40}+5 q^{38}+4 q^{36}+4 q^{34}+2 q^{32}+q^{30}+q^{28}}

B2 Invariants.

Weight	Invariant
0,1	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^{88}-q^{86}+2 q^{84}-2 q^{82}+q^{80}-q^{78}+q^{74}-2 q^{72}+3 q^{70}-3 q^{68}+3 q^{66}-3 q^{64}+2 q^{62}-2 q^{60}-q^{58}-4 q^{54}+q^{52}-4 q^{50}+q^{48}-2 q^{46}+2 q^{44}+q^{42}+q^{40}+3 q^{38}+q^{36}+3 q^{34}+q^{32}+q^{30}+q^{28}}
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^{138}-q^{136}+q^{134}+q^{132}-2 q^{130}-2 q^{128}+2 q^{124}-2 q^{120}+2 q^{116}+q^{114}-q^{112}+3 q^{108}+3 q^{106}+q^{104}+3 q^{100}+3 q^{98}+2 q^{96}-q^{94}-q^{92}-q^{90}-q^{88}-5 q^{86}-6 q^{84}-5 q^{82}-2 q^{80}-4 q^{78}-6 q^{76}-4 q^{74}+q^{70}-q^{68}+2 q^{66}+3 q^{64}+4 q^{62}+2 q^{60}+3 q^{58}+3 q^{56}+4 q^{54}+q^{52}+2 q^{50}+q^{48}+q^{46}+q^{42}}

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{122}-q^{120}+q^{118}-2q^{116}+q^{114}-2q^{112}-q^{108}+q^{104}-q^{102}+3q^{100}-q^{98}+3q^{96}-2q^{94}+4q^{92}+q^{90}+6q^{88}+4q^{86}+6q^{84}+4q^{82}+2q^{80}-q^{78}-9q^{76}-10q^{74}-16q^{72}-12q^{70}-15q^{68}-8q^{66}-6q^{64}+2q^{62}+6q^{60}+8q^{58}+10q^{56}+9q^{54}+9q^{52}+5q^{50}+5q^{48}+2q^{46}+q^{44}+q^{42}$

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^{210}-q^{208}+2 q^{206}-3 q^{204}+q^{200}-4 q^{198}+5 q^{196}-5 q^{194}+2 q^{192}+2 q^{190}-6 q^{188}+6 q^{186}-2 q^{184}-q^{182}+8 q^{180}-7 q^{178}+5 q^{176}+3 q^{174}-6 q^{172}+11 q^{170}-8 q^{168}+3 q^{166}+4 q^{164}-6 q^{162}+9 q^{160}-6 q^{158}+2 q^{156}+2 q^{154}-4 q^{152}+3 q^{150}-5 q^{148}+q^{146}+q^{144}-5 q^{142}+3 q^{140}-6 q^{138}+2 q^{134}-11 q^{132}+6 q^{130}-8 q^{128}-q^{126}+3 q^{124}-12 q^{122}+7 q^{120}-4 q^{118}-3 q^{116}+3 q^{114}-7 q^{112}+2 q^{110}+3 q^{108}-3 q^{106}+5 q^{104}-q^{102}+q^{100}+5 q^{98}-2 q^{96}+4 q^{94}+2 q^{92}+2 q^{90}+2 q^{88}+2 q^{86}+q^{84}+3 q^{82}+2 q^{80}+2 q^{76}+q^{74}+q^{72}+q^{70}}