10 21 Quantum Invariants

Further quantum knot invariants for 10_21.

A1 Invariants.

Weight	Invariant
1	$q^{21}-q^{19}+q^{17}-3q^{15}+q^{13}+2q^{7}-q^{5}+2q^{3}-q+q^{-1}$
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^{58}-q^{56}-q^{54}+2 q^{52}-2 q^{50}-q^{48}+4 q^{46}-4 q^{44}-q^{42}+9 q^{40}-5 q^{38}-3 q^{36}+7 q^{34}-3 q^{32}-5 q^{30}+q^{28}+3 q^{26}-3 q^{24}-3 q^{22}+6 q^{20}-7 q^{16}+6 q^{14}+4 q^{12}-7 q^{10}+3 q^8+6 q^6-5 q^4-q^2+4- q^{-2} - q^{-4} + q^{-6} }
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^{111}-q^{109}-q^{107}+2 q^{103}-2 q^{99}-q^{97}+q^{95}+2 q^{93}+q^{89}-3 q^{87}-2 q^{85}+4 q^{83}+9 q^{81}-6 q^{79}-14 q^{77}-q^{75}+21 q^{73}+2 q^{71}-24 q^{69}-6 q^{67}+20 q^{65}+16 q^{63}-15 q^{61}-14 q^{59}+5 q^{57}+17 q^{55}+2 q^{53}-13 q^{51}-12 q^{49}+12 q^{47}+15 q^{45}-11 q^{43}-21 q^{41}+7 q^{39}+22 q^{37}-3 q^{35}-23 q^{33}-3 q^{31}+23 q^{29}+9 q^{27}-18 q^{25}-16 q^{23}+13 q^{21}+20 q^{19}-4 q^{17}-19 q^{15}-3 q^{13}+17 q^{11}+10 q^9-11 q^7-10 q^5+4 q^3+10 q-6 q^{-3} - q^{-5} +3 q^{-7} + q^{-9} - q^{-11} - q^{-13} + q^{-15} }
4	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^{180}-q^{178}-q^{176}+4 q^{170}-2 q^{168}-2 q^{166}-2 q^{164}-3 q^{162}+10 q^{160}+2 q^{158}-q^{156}-7 q^{154}-12 q^{152}+13 q^{150}+10 q^{148}+9 q^{146}-10 q^{144}-31 q^{142}+2 q^{140}+17 q^{138}+36 q^{136}+5 q^{134}-55 q^{132}-34 q^{130}+6 q^{128}+75 q^{126}+54 q^{124}-56 q^{122}-79 q^{120}-44 q^{118}+83 q^{116}+113 q^{114}-12 q^{112}-94 q^{110}-101 q^{108}+34 q^{106}+115 q^{104}+45 q^{102}-41 q^{100}-98 q^{98}-28 q^{96}+58 q^{94}+61 q^{92}+22 q^{90}-48 q^{88}-54 q^{86}-8 q^{84}+45 q^{82}+57 q^{80}-5 q^{78}-63 q^{76}-47 q^{74}+36 q^{72}+75 q^{70}+23 q^{68}-73 q^{66}-78 q^{64}+30 q^{62}+89 q^{60}+51 q^{58}-69 q^{56}-102 q^{54}+3 q^{52}+79 q^{50}+86 q^{48}-27 q^{46}-100 q^{44}-42 q^{42}+29 q^{40}+93 q^{38}+32 q^{36}-50 q^{34}-58 q^{32}-38 q^{30}+50 q^{28}+57 q^{26}+16 q^{24}-21 q^{22}-62 q^{20}-9 q^{18}+25 q^{16}+38 q^{14}+25 q^{12}-33 q^{10}-25 q^8-12 q^6+14 q^4+30 q^2-1-7 q^{-2} -15 q^{-4} -4 q^{-6} +12 q^{-8} +2 q^{-10} +2 q^{-12} -4 q^{-14} -3 q^{-16} +3 q^{-18} + q^{-22} - q^{-24} - q^{-26} + q^{-28} }
5	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^{265}-q^{263}-q^{261}+2 q^{255}+2 q^{253}-2 q^{251}-4 q^{249}-q^{247}+5 q^{243}+8 q^{241}-9 q^{237}-9 q^{235}-4 q^{233}+8 q^{231}+18 q^{229}+10 q^{227}-12 q^{225}-25 q^{223}-17 q^{221}+9 q^{219}+31 q^{217}+33 q^{215}-3 q^{213}-50 q^{211}-51 q^{209}-5 q^{207}+59 q^{205}+89 q^{203}+36 q^{201}-78 q^{199}-139 q^{197}-79 q^{195}+77 q^{193}+209 q^{191}+162 q^{189}-63 q^{187}-273 q^{185}-273 q^{183}-5 q^{181}+327 q^{179}+402 q^{177}+96 q^{175}-324 q^{173}-507 q^{171}-250 q^{169}+271 q^{167}+574 q^{165}+384 q^{163}-155 q^{161}-554 q^{159}-477 q^{157}-q^{155}+466 q^{153}+518 q^{151}+126 q^{149}-322 q^{147}-461 q^{145}-231 q^{143}+152 q^{141}+378 q^{139}+265 q^{137}-22 q^{135}-241 q^{133}-264 q^{131}-91 q^{129}+138 q^{127}+235 q^{125}+146 q^{123}-45 q^{121}-209 q^{119}-193 q^{117}+q^{115}+201 q^{113}+226 q^{111}+34 q^{109}-218 q^{107}-266 q^{105}-52 q^{103}+238 q^{101}+320 q^{99}+86 q^{97}-261 q^{95}-383 q^{93}-135 q^{91}+264 q^{89}+437 q^{87}+213 q^{85}-230 q^{83}-477 q^{81}-299 q^{79}+155 q^{77}+474 q^{75}+376 q^{73}-40 q^{71}-421 q^{69}-439 q^{67}-87 q^{65}+316 q^{63}+438 q^{61}+207 q^{59}-167 q^{57}-386 q^{55}-285 q^{53}+18 q^{51}+273 q^{49}+297 q^{47}+108 q^{45}-128 q^{43}-246 q^{41}-178 q^{39}-4 q^{37}+148 q^{35}+177 q^{33}+94 q^{31}-31 q^{29}-124 q^{27}-128 q^{25}-49 q^{23}+49 q^{21}+101 q^{19}+91 q^{17}+25 q^{15}-56 q^{13}-84 q^{11}-55 q^9+4 q^7+50 q^5+60 q^3+27 q-18 q^{-1} -40 q^{-3} -32 q^{-5} -3 q^{-7} +17 q^{-9} +23 q^{-11} +13 q^{-13} -6 q^{-15} -12 q^{-17} -7 q^{-19} +2 q^{-23} +5 q^{-25} +2 q^{-27} -3 q^{-29} - q^{-31} + q^{-33} + q^{-39} - q^{-41} - q^{-43} + q^{-45} }

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^{30}-2 q^{22}-2 q^{18}+q^{14}+3 q^{10}+q^6+1}
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^{84}-2 q^{82}+4 q^{80}-8 q^{78}+13 q^{76}-18 q^{74}+22 q^{72}-30 q^{70}+37 q^{68}-40 q^{66}+42 q^{64}-48 q^{62}+57 q^{60}-54 q^{58}+52 q^{56}-56 q^{54}+47 q^{52}-30 q^{50}+8 q^{48}+24 q^{46}-56 q^{44}+96 q^{42}-128 q^{40}+154 q^{38}-174 q^{36}+170 q^{34}-160 q^{32}+132 q^{30}-102 q^{28}+54 q^{26}-6 q^{24}-32 q^{22}+67 q^{20}-90 q^{18}+106 q^{16}-98 q^{14}+88 q^{12}-72 q^{10}+56 q^8-34 q^6+23 q^4-12 q^2+6-2 q^{-2} + 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^{76}-q^{70}-q^{64}-q^{62}-2 q^{60}+2 q^{56}+3 q^{54}-2 q^{52}+3 q^{50}+6 q^{48}+2 q^{46}-5 q^{44}-3 q^{42}+2 q^{40}-4 q^{38}-5 q^{36}+q^{32}-3 q^{30}+q^{28}+q^{26}-q^{24}+q^{22}+5 q^{20}+q^{18}-3 q^{16}+2 q^{14}+5 q^{12}-q^{10}-3 q^8+2 q^6+3 q^4-1+ 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^{68}-q^{66}+q^{62}-4 q^{60}-q^{58}+4 q^{56}-3 q^{54}-q^{52}+10 q^{50}-q^{48}-3 q^{46}+6 q^{44}-2 q^{42}-5 q^{40}+q^{38}-3 q^{34}-4 q^{32}+q^{30}-7 q^{26}+3 q^{24}+5 q^{22}-4 q^{20}+3 q^{18}+6 q^{16}-3 q^{14}+3 q^{12}+3 q^{10}-2 q^8+2 q^6+q^4-q^2+1}
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^{39}+q^{35}-q^{33}+q^{31}-2 q^{29}-3 q^{25}-q^{23}-q^{21}+2 q^{17}+q^{15}+3 q^{13}+2 q^9-q^7+q^5+q}

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^{86}-q^{82}+q^{80}+q^{78}-4 q^{76}-4 q^{74}+q^{72}-4 q^{68}+9 q^{64}+5 q^{62}+q^{60}+7 q^{58}+6 q^{56}-3 q^{54}-2 q^{52}-6 q^{48}-8 q^{46}-2 q^{44}-3 q^{42}-9 q^{40}-4 q^{38}+4 q^{36}-q^{34}-4 q^{32}+5 q^{30}+5 q^{28}+q^{26}+q^{24}+4 q^{22}+3 q^{20}+2 q^{18}+2 q^{16}+2 q^{14}+q^{12}+q^{10}+q^8+q^2}
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^{48}+q^{44}+q^{38}-2 q^{36}-3 q^{32}-2 q^{30}-2 q^{28}-q^{26}+q^{22}+3 q^{20}+q^{18}+3 q^{16}+2 q^{12}+q^6+q^2}

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^{68}-q^{66}+2 q^{64}-3 q^{62}+4 q^{60}-5 q^{58}+6 q^{56}-7 q^{54}+7 q^{52}-8 q^{50}+5 q^{48}-3 q^{46}+4 q^{42}-7 q^{40}+11 q^{38}-14 q^{36}+15 q^{34}-16 q^{32}+13 q^{30}-12 q^{28}+9 q^{26}-5 q^{24}+q^{22}+4 q^{20}-5 q^{18}+8 q^{16}-7 q^{14}+9 q^{12}-7 q^{10}+6 q^8-4 q^6+3 q^4-q^2+1}
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^{110}-q^{106}-q^{104}+q^{102}+2 q^{100}-q^{98}-4 q^{96}-3 q^{94}+2 q^{92}+5 q^{90}+q^{88}-5 q^{86}-4 q^{84}+4 q^{82}+10 q^{80}+2 q^{78}-6 q^{76}-4 q^{74}+5 q^{72}+6 q^{70}-3 q^{68}-7 q^{66}-q^{64}+5 q^{62}+q^{60}-6 q^{58}-4 q^{56}+3 q^{54}+3 q^{52}-4 q^{50}-4 q^{48}+2 q^{46}+4 q^{44}-2 q^{42}-7 q^{40}+8 q^{36}+5 q^{34}-6 q^{32}-7 q^{30}+3 q^{28}+10 q^{26}+3 q^{24}-6 q^{22}-5 q^{20}+5 q^{18}+6 q^{16}-4 q^{12}-q^{10}+3 q^8+2 q^6-q^4-q^2+ q^{-2} }

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^{94}-q^{92}+q^{90}-2 q^{88}+2 q^{86}-4 q^{84}+2 q^{82}-4 q^{80}+5 q^{78}-5 q^{76}+5 q^{74}-4 q^{72}+9 q^{70}-3 q^{68}+4 q^{66}-2 q^{64}+2 q^{62}+2 q^{60}-4 q^{58}+4 q^{56}-8 q^{54}+9 q^{52}-11 q^{50}+10 q^{48}-15 q^{46}+9 q^{44}-13 q^{42}+7 q^{40}-11 q^{38}+5 q^{36}-4 q^{34}+3 q^{32}+2 q^{30}+7 q^{26}-3 q^{24}+7 q^{22}-5 q^{20}+9 q^{18}-5 q^{16}+6 q^{14}-4 q^{12}+5 q^{10}-2 q^8+2 q^6-q^4+q^2}

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^{162}-q^{160}+2 q^{158}-3 q^{156}+q^{154}-q^{152}-3 q^{150}+6 q^{148}-7 q^{146}+7 q^{144}-6 q^{142}+3 q^{140}+4 q^{138}-9 q^{136}+12 q^{134}-14 q^{132}+12 q^{130}-7 q^{128}+q^{126}+6 q^{124}-12 q^{122}+24 q^{120}-18 q^{118}+14 q^{116}-7 q^{114}-4 q^{112}+15 q^{110}-20 q^{108}+17 q^{106}-9 q^{104}-3 q^{102}+12 q^{100}-15 q^{98}+5 q^{96}+6 q^{94}-20 q^{92}+21 q^{90}-20 q^{88}+2 q^{86}+16 q^{84}-33 q^{82}+38 q^{80}-32 q^{78}+13 q^{76}+8 q^{74}-28 q^{72}+36 q^{70}-34 q^{68}+22 q^{66}-4 q^{64}-13 q^{62}+25 q^{60}-21 q^{58}+13 q^{56}+4 q^{54}-15 q^{52}+19 q^{50}-13 q^{48}-q^{46}+19 q^{44}-28 q^{42}+30 q^{40}-16 q^{38}-2 q^{36}+21 q^{34}-29 q^{32}+30 q^{30}-21 q^{28}+7 q^{26}+6 q^{24}-16 q^{22}+18 q^{20}-13 q^{18}+9 q^{16}-q^{14}-2 q^{12}+4 q^{10}-4 q^8+3 q^6-q^4+q^2}