10 66 Quantum Invariants

Further quantum knot invariants for 10_66.

A1 Invariants.

Weight	Invariant
1	$q^{27}-3q^{25}+3q^{23}-3q^{21}+2q^{19}-q^{17}-2q^{15}+3q^{13}-2q^{11}+4q^{9}-q^{7}+q^{5}$
2	$q^{74}-3q^{72}+9q^{68}-11q^{66}-4q^{64}+22q^{62}-16q^{60}-11q^{58}+30q^{56}-12q^{54}-19q^{52}+20q^{50}+2q^{48}-16q^{46}-q^{44}+16q^{42}-2q^{40}-20q^{38}+18q^{36}+10q^{34}-30q^{32}+10q^{30}+18q^{28}-22q^{26}+q^{24}+17q^{22}-8q^{20}-3q^{18}+7q^{16}-q^{12}+q^{10}$
3	$q^{141}-3q^{139}+6q^{135}+q^{133}-11q^{131}-7q^{129}+26q^{127}+10q^{125}-39q^{123}-22q^{121}+57q^{119}+39q^{117}-79q^{115}-64q^{113}+95q^{111}+96q^{109}-99q^{107}-127q^{105}+86q^{103}+151q^{101}-55q^{99}-158q^{97}+13q^{95}+145q^{93}+33q^{91}-112q^{89}-72q^{87}+69q^{85}+105q^{83}-23q^{81}-123q^{79}-21q^{77}+125q^{75}+64q^{73}-130q^{71}-97q^{69}+110q^{67}+131q^{65}-89q^{63}-147q^{61}+53q^{59}+157q^{57}-14q^{55}-149q^{53}-24q^{51}+122q^{49}+50q^{47}-88q^{45}-63q^{43}+47q^{41}+62q^{39}-20q^{37}-42q^{35}-q^{33}+28q^{31}+8q^{29}-10q^{27}-5q^{25}+5q^{23}+3q^{21}-q^{17}+q^{15}$
4	$q^{228}-3q^{226}+6q^{222}-2q^{220}+q^{218}-14q^{216}+3q^{214}+26q^{212}-8q^{210}-3q^{208}-50q^{206}+10q^{204}+91q^{202}-2q^{200}-41q^{198}-150q^{196}+25q^{194}+248q^{192}+71q^{190}-129q^{188}-395q^{186}-34q^{184}+511q^{182}+344q^{180}-157q^{178}-786q^{176}-321q^{174}+682q^{172}+793q^{170}+94q^{168}-1036q^{166}-799q^{164}+458q^{162}+1063q^{160}+586q^{158}-789q^{156}-1070q^{154}-114q^{152}+821q^{150}+919q^{148}-153q^{146}-859q^{144}-609q^{142}+227q^{140}+840q^{138}+449q^{136}-360q^{134}-811q^{132}-319q^{130}+547q^{128}+814q^{126}+94q^{124}-820q^{122}-673q^{120}+235q^{118}+1007q^{116}+467q^{114}-726q^{112}-929q^{110}-129q^{108}+1031q^{106}+823q^{104}-424q^{102}-1031q^{100}-588q^{98}+754q^{96}+1044q^{94}+104q^{92}-793q^{90}-931q^{88}+188q^{86}+882q^{84}+557q^{82}-245q^{80}-856q^{78}-307q^{76}+376q^{74}+579q^{72}+223q^{70}-416q^{68}-390q^{66}-62q^{64}+267q^{62}+299q^{60}-42q^{58}-175q^{56}-151q^{54}+15q^{52}+134q^{50}+52q^{48}-10q^{46}-60q^{44}-30q^{42}+24q^{40}+17q^{38}+13q^{36}-7q^{34}-8q^{32}+3q^{30}+q^{28}+3q^{26}-q^{22}+q^{20}$
5	$q^{335}-3q^{333}+6q^{329}-2q^{327}-2q^{325}-2q^{323}-4q^{321}+3q^{319}+14q^{317}+2q^{315}-21q^{313}-17q^{311}+8q^{309}+37q^{307}+32q^{305}-9q^{303}-87q^{301}-97q^{299}+54q^{297}+199q^{295}+169q^{293}-70q^{291}-379q^{289}-405q^{287}+82q^{285}+715q^{283}+779q^{281}+q^{279}-1114q^{277}-1451q^{275}-317q^{273}+1579q^{271}+2425q^{269}+966q^{267}-1920q^{265}-3624q^{263}-2100q^{261}+1908q^{259}+4915q^{257}+3688q^{255}-1357q^{253}-5925q^{251}-5542q^{249}+107q^{247}+6325q^{245}+7336q^{243}+1717q^{241}-5860q^{239}-8593q^{237}-3810q^{235}+4458q^{233}+8949q^{231}+5739q^{229}-2360q^{227}-8267q^{225}-7033q^{223}-12q^{221}+6636q^{219}+7459q^{217}+2214q^{215}-4427q^{213}-7041q^{211}-3883q^{209}+2090q^{207}+5971q^{205}+4893q^{203}+39q^{201}-4630q^{199}-5384q^{197}-1700q^{195}+3328q^{193}+5523q^{191}+2937q^{189}-2252q^{187}-5555q^{185}-3895q^{183}+1452q^{181}+5661q^{179}+4693q^{177}-776q^{175}-5782q^{173}-5573q^{171}+22q^{169}+5936q^{167}+6471q^{165}+923q^{163}-5746q^{161}-7404q^{159}-2238q^{157}+5203q^{155}+8090q^{153}+3751q^{151}-3987q^{149}-8307q^{147}-5358q^{145}+2246q^{143}+7823q^{141}+6653q^{139}-86q^{137}-6545q^{135}-7336q^{133}-2094q^{131}+4562q^{129}+7163q^{127}+3876q^{125}-2222q^{123}-6102q^{121}-4890q^{119}-44q^{117}+4350q^{115}+4975q^{113}+1791q^{111}-2353q^{109}-4220q^{107}-2702q^{105}+546q^{103}+2900q^{101}+2826q^{99}+715q^{97}-1541q^{95}-2271q^{93}-1272q^{91}+387q^{89}+1461q^{87}+1294q^{85}+247q^{83}-693q^{81}-936q^{79}-497q^{77}+164q^{75}+536q^{73}+433q^{71}+81q^{69}-214q^{67}-278q^{65}-130q^{63}+47q^{61}+125q^{59}+102q^{57}+14q^{55}-47q^{53}-46q^{51}-13q^{49}+6q^{47}+21q^{45}+14q^{43}-3q^{41}-5q^{39}-q^{35}+q^{33}+3q^{31}-q^{27}+q^{25}$

A2 Invariants.

Weight	Invariant
1,0	$q^{40}-2q^{36}+q^{34}-2q^{32}-3q^{26}+2q^{24}-2q^{22}+3q^{20}+2q^{18}+3q^{14}-q^{12}+q^{10}$
1,1	$q^{108}-6q^{106}+18q^{104}-38q^{102}+71q^{100}-128q^{98}+206q^{96}-296q^{94}+403q^{92}-522q^{90}+628q^{88}-696q^{86}+717q^{84}-676q^{82}+550q^{80}-328q^{78}+36q^{76}+310q^{74}-676q^{72}+1016q^{70}-1301q^{68}+1474q^{66}-1528q^{64}+1452q^{62}-1242q^{60}+964q^{58}-608q^{56}+228q^{54}+119q^{52}-424q^{50}+620q^{48}-762q^{46}+786q^{44}-738q^{42}+632q^{40}-496q^{38}+368q^{36}-236q^{34}+152q^{32}-76q^{30}+43q^{28}-16q^{26}+8q^{24}-2q^{22}+q^{20}$
2,0	$q^{100}-2q^{96}-q^{94}+q^{92}+q^{90}-5q^{88}+q^{86}+7q^{84}-3q^{80}+6q^{78}+10q^{76}-7q^{74}-10q^{72}+6q^{70}+2q^{68}-12q^{66}-q^{64}+10q^{62}-4q^{60}-6q^{58}+6q^{56}+q^{54}-13q^{52}-2q^{50}+8q^{48}-9q^{46}-8q^{44}+11q^{42}+7q^{40}-7q^{38}+2q^{36}+11q^{34}+3q^{32}-5q^{30}+3q^{28}+5q^{26}-q^{24}-q^{22}+q^{20}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{88}-3q^{86}+8q^{82}-9q^{80}-2q^{78}+17q^{76}-15q^{74}-8q^{72}+23q^{70}-13q^{68}-10q^{66}+22q^{64}-3q^{62}-8q^{60}+7q^{58}+3q^{56}-6q^{54}-15q^{52}+8q^{50}+2q^{48}-24q^{46}+10q^{44}+11q^{42}-20q^{40}+10q^{38}+14q^{36}-12q^{34}+9q^{32}+7q^{30}-4q^{28}+4q^{26}+2q^{24}-q^{22}+q^{20}$
1,0,0	$q^{53}+q^{49}-2q^{47}+q^{45}-4q^{43}+q^{41}-3q^{39}-2q^{35}+q^{31}+4q^{27}+4q^{23}-q^{21}+3q^{19}-q^{17}+q^{15}$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{114}-3q^{110}-2q^{108}+4q^{106}+4q^{104}-6q^{102}-2q^{100}+11q^{98}-q^{96}-16q^{94}+3q^{92}+12q^{90}-8q^{88}-3q^{86}+20q^{84}+11q^{82}-9q^{80}+7q^{78}+12q^{76}-19q^{74}-18q^{72}+7q^{70}-13q^{68}-30q^{66}+3q^{64}+9q^{62}-13q^{60}-6q^{58}+17q^{56}+7q^{54}-6q^{52}+7q^{50}+13q^{48}+10q^{42}+2q^{40}+3q^{36}+2q^{34}-q^{32}+q^{30}$
1,0,0,0	$q^{66}+q^{62}+q^{60}-2q^{58}+q^{56}-4q^{54}-q^{52}-2q^{50}-3q^{48}-2q^{44}+q^{42}-q^{40}+3q^{38}+4q^{34}+q^{32}+2q^{30}+3q^{28}-q^{26}+3q^{24}-q^{22}+q^{20}$

B2 Invariants.

Weight	Invariant
0,1	$q^{88}-3q^{86}+6q^{84}-10q^{82}+15q^{80}-20q^{78}+23q^{76}-25q^{74}+24q^{72}-21q^{70}+13q^{68}-2q^{66}-10q^{64}+23q^{62}-34q^{60}+43q^{58}-49q^{56}+48q^{54}-45q^{52}+34q^{50}-26q^{48}+12q^{46}-11q^{42}+20q^{40}-22q^{38}+26q^{36}-22q^{34}+21q^{32}-15q^{30}+12q^{28}-6q^{26}+4q^{24}-q^{22}+q^{20}$
1,0	$q^{142}-3q^{138}-3q^{136}+3q^{134}+9q^{132}+2q^{130}-12q^{128}-11q^{126}+9q^{124}+20q^{122}+2q^{120}-23q^{118}-16q^{116}+15q^{114}+25q^{112}-3q^{110}-25q^{108}-7q^{106}+21q^{104}+16q^{102}-13q^{100}-17q^{98}+8q^{96}+18q^{94}-3q^{92}-19q^{90}-2q^{88}+15q^{86}+3q^{84}-18q^{82}-8q^{80}+15q^{78}+12q^{76}-16q^{74}-23q^{72}+5q^{70}+26q^{68}+6q^{66}-25q^{64}-18q^{62}+15q^{60}+26q^{58}-18q^{54}-8q^{52}+14q^{50}+13q^{48}-2q^{46}-8q^{44}+5q^{40}+3q^{38}-q^{36}-q^{34}+q^{30}$

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^{122}-3 q^{120}+3 q^{118}-4 q^{116}+9 q^{114}-12 q^{112}+12 q^{110}-14 q^{108}+20 q^{106}-20 q^{104}+16 q^{102}-19 q^{100}+19 q^{98}-12 q^{96}+5 q^{94}-3 q^{92}-2 q^{90}+17 q^{88}-17 q^{86}+26 q^{84}-30 q^{82}+38 q^{80}-37 q^{78}+33 q^{76}-43 q^{74}+27 q^{72}-31 q^{70}+16 q^{68}-21 q^{66}+5 q^{64}-4 q^{60}+11 q^{58}-14 q^{56}+22 q^{54}-16 q^{52}+21 q^{50}-16 q^{48}+20 q^{46}-11 q^{44}+14 q^{42}-7 q^{40}+8 q^{38}-2 q^{36}+3 q^{34}-q^{32}+q^{30}}

G2 Invariants.

Weight

Invariant

1,0

$q^{210}-3q^{208}+6q^{206}-10q^{204}+9q^{202}-6q^{200}-2q^{198}+19q^{196}-34q^{194}+50q^{192}-53q^{190}+33q^{188}-2q^{186}-44q^{184}+90q^{182}-117q^{180}+119q^{178}-79q^{176}+9q^{174}+73q^{172}-134q^{170}+158q^{168}-136q^{166}+64q^{164}+21q^{162}-95q^{160}+126q^{158}-92q^{156}+21q^{154}+64q^{152}-114q^{150}+100q^{148}-35q^{146}-74q^{144}+168q^{142}-211q^{140}+179q^{138}-68q^{136}-76q^{134}+198q^{132}-256q^{130}+228q^{128}-135q^{126}-5q^{124}+115q^{122}-177q^{120}+178q^{118}-106q^{116}+q^{114}+82q^{112}-117q^{110}+87q^{108}-17q^{106}-76q^{104}+136q^{102}-139q^{100}+90q^{98}+6q^{96}-107q^{94}+178q^{92}-175q^{90}+118q^{88}-30q^{86}-60q^{84}+118q^{82}-125q^{80}+102q^{78}-47q^{76}-2q^{74}+38q^{72}-49q^{70}+42q^{68}-25q^{66}+11q^{64}+2q^{62}-6q^{60}+7q^{58}-5q^{56}+4q^{54}-q^{52}+q^{50}$