10 2 Quantum Invariants

Further quantum knot invariants for 10_2.

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^{23}-q^{21}-q^{17}+q^9+q^5+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^{62}-q^{60}-q^{58}+q^{56}-q^{54}+q^{50}+q^{48}-q^{36}-q^{30}-q^{28}+q^{18}+2 q^{12}+q^{10}-q^8+q^6+q^4-q^2+ q^{-2} }
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^{117}-q^{115}-q^{113}+q^{109}-q^{105}+2 q^{103}+q^{101}-q^{99}-3 q^{97}+2 q^{95}+2 q^{93}-q^{91}-3 q^{89}+3 q^{85}-3 q^{81}-q^{79}+2 q^{77}+q^{75}+q^{73}-q^{71}+q^{67}+3 q^{65}-2 q^{61}-q^{59}+q^{57}-q^{55}-2 q^{53}+q^{49}-q^{47}-q^{45}+q^{41}-q^{37}-q^{35}+q^{27}+q^{21}+2 q^{19}+q^{17}-q^{15}-q^{13}+2 q^{11}+2 q^9-2 q^5+2 q+ q^{-1} - q^{-3} - q^{-5} + q^{-9} }
4	$q^{188}-q^{186}-q^{184}+2q^{178}-q^{176}+q^{174}-q^{170}-2q^{166}+2q^{164}+2q^{162}-3q^{158}-3q^{156}+3q^{154}+4q^{152}-4q^{148}-4q^{146}+4q^{144}+4q^{142}-3q^{138}-3q^{136}+3q^{134}+3q^{132}+q^{130}-3q^{128}-4q^{126}+2q^{122}+2q^{120}-2q^{116}-3q^{114}-q^{112}+3q^{110}+3q^{108}+q^{106}-2q^{104}-2q^{102}+3q^{98}+2q^{96}-q^{94}-q^{92}+3q^{88}+q^{86}-3q^{84}-2q^{82}+4q^{78}+2q^{76}-4q^{74}-4q^{72}-q^{70}+4q^{68}+3q^{66}-3q^{64}-4q^{62}-2q^{60}+2q^{58}+3q^{56}-q^{54}-2q^{52}-2q^{50}+2q^{46}+q^{44}-q^{40}-q^{38}+q^{36}+q^{30}+q^{28}+2q^{26}-q^{22}+4q^{16}+2q^{14}-q^{12}-2q^{10}-3q^{8}+2q^{6}+3q^{4}+2q^{2}-4q^{-2}-q^{-4}+q^{-6}+2q^{-8}+2q^{-10}-q^{-12}-q^{-14}-q^{-16}+q^{-20}$
5	$q^{275}-q^{273}-q^{271}+q^{265}+q^{263}+q^{261}-q^{259}-q^{257}-2q^{255}+q^{251}+3q^{249}+2q^{247}-2q^{245}-4q^{243}-3q^{241}+2q^{239}+5q^{237}+4q^{235}-2q^{233}-5q^{231}-5q^{229}+6q^{225}+5q^{223}-2q^{221}-2q^{219}-2q^{217}-q^{215}+q^{213}-2q^{209}+q^{207}+4q^{205}+3q^{203}-q^{201}-5q^{199}-5q^{197}-q^{195}+6q^{193}+8q^{191}+3q^{189}-5q^{187}-7q^{185}-5q^{183}+q^{181}+6q^{179}+6q^{177}+2q^{175}-q^{173}-6q^{171}-6q^{169}-3q^{167}+q^{165}+6q^{163}+7q^{161}-5q^{157}-6q^{155}-3q^{153}+3q^{151}+6q^{149}+2q^{147}-3q^{145}-3q^{143}+2q^{139}+2q^{137}-2q^{135}-4q^{133}-q^{131}+2q^{129}+5q^{127}+4q^{125}+q^{123}-3q^{121}-4q^{119}-q^{117}+3q^{115}+5q^{113}+4q^{111}-q^{109}-5q^{107}-7q^{105}-q^{103}+5q^{101}+7q^{99}+3q^{97}-4q^{95}-10q^{93}-6q^{91}+3q^{89}+9q^{87}+7q^{85}-q^{83}-9q^{81}-10q^{79}-3q^{77}+7q^{75}+9q^{73}+4q^{71}-3q^{69}-8q^{67}-6q^{65}+5q^{61}+5q^{59}+q^{57}-2q^{55}-4q^{53}-3q^{51}+2q^{47}+3q^{45}+q^{43}+q^{35}+q^{33}-q^{29}+2q^{25}+2q^{23}+3q^{21}+q^{19}-2q^{17}-4q^{15}-2q^{13}+q^{11}+4q^{9}+5q^{7}+2q^{5}-2q^{3}-5q-4q^{-1}+3q^{-5}+5q^{-7}+3q^{-9}-q^{-11}-4q^{-13}-3q^{-15}-q^{-17}+q^{-19}+3q^{-21}+2q^{-23}-q^{-27}-q^{-29}-q^{-31}+q^{-35}$

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

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^{76}-q^{74}-q^{72}+q^{70}-q^{68}-q^{66}+q^{64}+q^{62}+q^{58}+q^{50}+q^{48}-q^{40}-2 q^{38}-q^{36}-2 q^{34}-2 q^{32}-2 q^{30}-2 q^{28}+q^{24}+q^{22}+3 q^{20}+3 q^{18}+2 q^{16}+2 q^{14}+2 q^{12}+q^8}
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^{41}+q^{37}-q^{35}-2 q^{31}-q^{29}-q^{27}-q^{25}+q^{19}+2 q^{15}+q^{13}+2 q^{11}+q^9+q^7}
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^{122}-2 q^{120}+q^{118}+q^{116}-2 q^{114}+3 q^{112}-2 q^{110}-q^{108}+q^{106}-2 q^{104}+q^{102}-q^{100}+4 q^{96}+q^{92}-2 q^{88}-2 q^{84}+q^{82}-3 q^{80}+2 q^{78}-q^{76}+3 q^{72}-4 q^{70}+5 q^{68}-5 q^{66}+4 q^{64}-q^{62}+5 q^{60}+3 q^{58}+6 q^{54}-6 q^{52}+6 q^{50}-10 q^{48}-q^{46}-8 q^{44}-7 q^{42}-3 q^{40}-7 q^{38}-3 q^{34}+3 q^{32}+q^{30}+6 q^{28}+2 q^{26}+6 q^{24}+4 q^{22}+5 q^{20}+6 q^{18}+2 q^{16}+4 q^{14}+q^{10}}

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^{94}-q^{90}-2 q^{84}-2 q^{82}+q^{74}+3 q^{72}+2 q^{70}+2 q^{68}+2 q^{66}+2 q^{64}+q^{60}-q^{56}-q^{54}-q^{52}-q^{50}-3 q^{48}-4 q^{46}-5 q^{44}-4 q^{42}-6 q^{40}-4 q^{38}-q^{36}+q^{34}+2 q^{32}+4 q^{30}+5 q^{28}+5 q^{26}+4 q^{24}+4 q^{22}+3 q^{20}+2 q^{18}+q^{16}+q^{14}}
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^{50}+q^{46}-q^{40}-q^{38}-q^{36}-2 q^{34}-q^{32}-2 q^{30}-q^{26}+q^{24}+q^{22}+2 q^{20}+2 q^{18}+2 q^{16}+2 q^{14}+q^{12}+q^{10}}

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^{76}-q^{74}+q^{72}-q^{70}+q^{68}-q^{66}+q^{64}-q^{62}-q^{58}+q^{50}-q^{48}+2 q^{46}-2 q^{44}+2 q^{42}-3 q^{40}+2 q^{38}-3 q^{36}+2 q^{34}-2 q^{32}+q^{24}-q^{22}+3 q^{20}-q^{18}+2 q^{16}+2 q^{12}+q^8}
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^{122}-q^{118}-q^{116}+q^{112}-q^{108}-q^{106}+q^{102}+q^{100}+q^{92}+q^{82}+q^{80}-q^{76}+q^{72}-q^{68}-q^{66}-q^{62}-q^{60}-q^{58}-2 q^{52}-2 q^{50}+q^{46}-q^{42}-q^{40}+q^{38}+2 q^{36}+q^{34}-q^{32}+q^{30}+2 q^{28}+2 q^{26}+q^{20}+2 q^{18}+q^{10}}

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^{106}-q^{104}-q^{100}+q^{98}-q^{96}-q^{92}+q^{90}+q^{86}+q^{82}+q^{68}+2 q^{64}-q^{62}+2 q^{60}-2 q^{58}+2 q^{56}-2 q^{54}+q^{52}-4 q^{50}-4 q^{46}-2 q^{44}-4 q^{42}-3 q^{40}-2 q^{38}-q^{36}+q^{34}+q^{32}+5 q^{30}+2 q^{28}+5 q^{26}+2 q^{24}+4 q^{22}+q^{20}+2 q^{18}+q^{14}}

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^{182}-q^{180}+q^{178}-q^{176}-q^{174}-q^{170}+2 q^{168}-2 q^{166}+q^{164}+q^{158}-q^{156}+q^{154}-q^{152}+q^{150}-q^{146}+2 q^{144}+q^{140}+q^{134}+q^{128}-q^{120}+q^{118}-q^{116}-q^{114}-q^{110}-q^{106}-q^{104}-q^{102}-q^{98}-2 q^{92}+2 q^{90}-2 q^{88}+q^{86}-q^{84}-q^{82}+q^{80}-q^{78}+2 q^{76}-q^{74}-q^{70}-q^{64}+q^{56}+q^{54}-q^{52}+3 q^{50}-2 q^{48}+2 q^{46}+q^{44}-q^{42}+4 q^{40}-2 q^{38}+3 q^{36}+q^{34}+q^{32}+q^{30}-q^{28}+2 q^{26}+q^{22}}