10 98 Quantum Invariants

Further quantum knot invariants for 10_98.

A1 Invariants.

Weight	Invariant
1	$q^{21}-2q^{19}+4q^{17}-4q^{15}+q^{13}-2q^{11}-q^{9}+4q^{7}-2q^{5}+4q^{3}-2q+q^{-1}$
2	$q^{58}-2q^{56}+q^{54}+5q^{52}-11q^{50}+2q^{48}+19q^{46}-24q^{44}-7q^{42}+34q^{40}-20q^{38}-16q^{36}+31q^{34}-20q^{30}+6q^{28}+16q^{26}-14q^{24}-20q^{22}+24q^{20}+4q^{18}-32q^{16}+21q^{14}+20q^{12}-29q^{10}+4q^{8}+21q^{6}-13q^{4}-5q^{2}+9-q^{-2}-2q^{-4}+q^{-6}$
3	$q^{111}-2q^{109}+q^{107}+2q^{105}-2q^{103}-5q^{101}+5q^{99}+13q^{97}-15q^{95}-30q^{93}+27q^{91}+60q^{89}-27q^{87}-110q^{85}+13q^{83}+166q^{81}+23q^{79}-198q^{77}-87q^{75}+213q^{73}+145q^{71}-179q^{69}-197q^{67}+115q^{65}+206q^{63}-39q^{61}-194q^{59}-40q^{57}+164q^{55}+103q^{53}-111q^{51}-152q^{49}+75q^{47}+186q^{45}-16q^{43}-218q^{41}-28q^{39}+217q^{37}+84q^{35}-213q^{33}-146q^{31}+174q^{29}+189q^{27}-111q^{25}-212q^{23}+41q^{21}+199q^{19}+31q^{17}-155q^{15}-71q^{13}+94q^{11}+86q^{9}-42q^{7}-66q^{5}+4q^{3}+42q+10q^{-1}-19q^{-3}-8q^{-5}+6q^{-7}+4q^{-9}-q^{-11}-2q^{-13}+q^{-15}$
4	$q^{180}-2q^{178}+q^{176}+2q^{174}-5q^{172}+4q^{170}-2q^{168}+5q^{166}+2q^{164}-27q^{162}+10q^{160}+16q^{158}+42q^{156}+6q^{154}-128q^{152}-54q^{150}+70q^{148}+250q^{146}+141q^{144}-353q^{142}-426q^{140}-73q^{138}+675q^{136}+776q^{134}-314q^{132}-1120q^{130}-884q^{128}+743q^{126}+1767q^{124}+546q^{122}-1303q^{120}-2018q^{118}-161q^{116}+2024q^{114}+1719q^{112}-374q^{110}-2249q^{108}-1343q^{106}+1040q^{104}+1980q^{102}+854q^{100}-1289q^{98}-1704q^{96}-275q^{94}+1237q^{92}+1411q^{90}-77q^{88}-1307q^{86}-1085q^{84}+381q^{82}+1433q^{80}+736q^{78}-864q^{76}-1504q^{74}-192q^{72}+1394q^{70}+1357q^{68}-486q^{66}-1871q^{64}-819q^{62}+1198q^{60}+1976q^{58}+222q^{56}-1893q^{54}-1621q^{52}+376q^{50}+2145q^{48}+1267q^{46}-1044q^{44}-1950q^{42}-877q^{40}+1316q^{38}+1772q^{36}+314q^{34}-1199q^{32}-1498q^{30}-13q^{28}+1127q^{26}+986q^{24}-8q^{22}-967q^{20}-634q^{18}+119q^{16}+606q^{14}+465q^{12}-173q^{10}-361q^{8}-235q^{6}+74q^{4}+245q^{2}+83-35q^{-2}-108q^{-4}-49q^{-6}+40q^{-8}+28q^{-10}+18q^{-12}-13q^{-14}-14q^{-16}+3q^{-18}+q^{-20}+4q^{-22}-q^{-24}-2q^{-26}+q^{-28}$

A2 Invariants.

Weight	Invariant
1,0	$q^{30}-q^{28}+2q^{26}+2q^{24}-3q^{22}-5q^{18}-q^{16}+q^{14}+5q^{10}-q^{8}+2q^{6}+q^{4}-q^{2}+1$
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}-4 q^{82}+10 q^{80}-20 q^{78}+40 q^{76}-72 q^{74}+114 q^{72}-174 q^{70}+266 q^{68}-376 q^{66}+494 q^{64}-632 q^{62}+766 q^{60}-860 q^{58}+866 q^{56}-786 q^{54}+593 q^{52}-272 q^{50}-140 q^{48}+616 q^{46}-1070 q^{44}+1472 q^{42}-1744 q^{40}+1876 q^{38}-1845 q^{36}+1644 q^{34}-1308 q^{32}+856 q^{30}-396 q^{28}-82 q^{26}+494 q^{24}-800 q^{22}+968 q^{20}-996 q^{18}+934 q^{16}-780 q^{14}+598 q^{12}-416 q^{10}+268 q^8-150 q^6+80 q^4-36 q^2+14-4 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^{74}+q^{72}+2 q^{70}-q^{68}-4 q^{66}+2 q^{64}+7 q^{62}-6 q^{60}-13 q^{58}+q^{56}+8 q^{54}-11 q^{52}-5 q^{50}+19 q^{48}+18 q^{46}-2 q^{44}+10 q^{40}-8 q^{38}-15 q^{36}-q^{34}-6 q^{32}-14 q^{30}+3 q^{28}+10 q^{26}-6 q^{24}-6 q^{22}+14 q^{20}+9 q^{18}-10 q^{16}-4 q^{14}+13 q^{12}+3 q^{10}-7 q^8-q^6+5 q^4+3 q^2-2- q^{-2} + 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}-2 q^{66}+6 q^{62}-7 q^{60}-4 q^{58}+17 q^{56}-13 q^{54}-13 q^{52}+24 q^{50}-14 q^{48}-14 q^{46}+27 q^{44}-5 q^{40}+16 q^{38}+4 q^{36}-8 q^{34}-17 q^{32}-q^{28}-26 q^{26}+10 q^{24}+19 q^{22}-19 q^{20}+11 q^{18}+18 q^{16}-17 q^{14}+8 q^{12}+8 q^{10}-8 q^8+4 q^6+2 q^4-2 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^{37}+3 q^{35}+3 q^{31}-3 q^{29}-6 q^{25}-3 q^{23}-2 q^{21}+3 q^{17}+q^{15}+5 q^{13}-q^{11}+3 q^9-q^7+2 q^5-q^3+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^{84}-2 q^{82}+5 q^{80}+4 q^{78}-8 q^{76}-2 q^{74}+12 q^{72}-q^{70}-20 q^{68}-3 q^{66}+10 q^{64}-15 q^{62}-17 q^{60}+22 q^{58}+22 q^{56}-3 q^{54}+21 q^{52}+33 q^{50}-3 q^{48}-18 q^{46}+4 q^{44}-15 q^{42}-43 q^{40}-15 q^{38}+10 q^{36}-16 q^{34}-15 q^{32}+25 q^{30}+16 q^{28}-8 q^{26}+4 q^{24}+18 q^{22}+q^{20}-6 q^{18}+6 q^{16}+7 q^{14}-3 q^{12}-q^{10}+4 q^8-q^4+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^{46}+3 q^{44}+q^{42}+q^{40}+3 q^{38}-3 q^{36}-6 q^{32}-4 q^{30}-4 q^{28}-2 q^{26}+2 q^{22}+4 q^{20}+q^{18}+5 q^{16}-q^{14}+3 q^{12}+2 q^6-q^4+q^2}

B2 Invariants.

Weight	Invariant
0,1	$q^{68}-2q^{66}+4q^{64}-8q^{62}+13q^{60}-18q^{58}+25q^{56}-29q^{54}+31q^{52}-28q^{50}+22q^{48}-12q^{46}-q^{44}+16q^{42}-33q^{40}+44q^{38}-56q^{36}+58q^{34}-59q^{32}+50q^{30}-39q^{28}+24q^{26}-8q^{24}-5q^{22}+19q^{20}-25q^{18}+32q^{16}-29q^{14}+28q^{12}-22q^{10}+16q^{8}-10q^{6}+6q^{4}-2q^{2}+1$
1,0	$q^{110}-2q^{106}-2q^{104}+2q^{102}+7q^{100}+2q^{98}-10q^{96}-11q^{94}+5q^{92}+21q^{90}+6q^{88}-23q^{86}-22q^{84}+12q^{82}+30q^{80}+q^{78}-31q^{76}-15q^{74}+24q^{72}+25q^{70}-10q^{68}-22q^{66}+8q^{64}+27q^{62}+6q^{60}-22q^{58}-8q^{56}+16q^{54}+8q^{52}-21q^{50}-19q^{48}+10q^{46}+16q^{44}-13q^{42}-29q^{40}+2q^{38}+32q^{36}+15q^{34}-25q^{32}-24q^{30}+16q^{28}+34q^{26}+2q^{24}-25q^{22}-13q^{20}+17q^{18}+17q^{16}-4q^{14}-12q^{12}-2q^{10}+7q^{8}+4q^{6}-2q^{4}-2q^{2}+q^{-2}$

D4 Invariants.

Weight

Invariant

1,0,0,0

$q^{94}-2q^{92}+2q^{90}-3q^{88}+7q^{86}-10q^{84}+10q^{82}-13q^{80}+21q^{78}-23q^{76}+19q^{74}-25q^{72}+24q^{70}-21q^{68}+12q^{66}-11q^{64}+6q^{62}+14q^{60}-9q^{58}+28q^{56}-26q^{54}+44q^{52}-41q^{50}+41q^{48}-55q^{46}+34q^{44}-47q^{42}+24q^{40}-34q^{38}+13q^{36}-6q^{34}+3q^{32}+11q^{30}-10q^{28}+26q^{26}-19q^{24}+26q^{22}-23q^{20}+25q^{18}-18q^{16}+17q^{14}-12q^{12}+10q^{10}-5q^{8}+4q^{6}-2q^{4}+q^{2}$

G2 Invariants.

Weight

Invariant

1,0

$q^{162}-2q^{160}+4q^{158}-6q^{156}+6q^{154}-5q^{152}+10q^{148}-21q^{146}+31q^{144}-39q^{142}+33q^{140}-18q^{138}-12q^{136}+58q^{134}-94q^{132}+117q^{130}-107q^{128}+56q^{126}+17q^{124}-112q^{122}+185q^{120}-203q^{118}+154q^{116}-41q^{114}-84q^{112}+183q^{110}-192q^{108}+134q^{106}-19q^{104}-110q^{102}+175q^{100}-143q^{98}+34q^{96}+116q^{94}-230q^{92}+256q^{90}-161q^{88}-7q^{86}+163q^{84}-297q^{82}+322q^{80}-242q^{78}+78q^{76}+92q^{74}-232q^{72}+288q^{70}-230q^{68}+90q^{66}+43q^{64}-158q^{62}+191q^{60}-129q^{58}+8q^{56}+128q^{54}-194q^{52}+181q^{50}-68q^{48}-83q^{46}+204q^{44}-244q^{42}+197q^{40}-81q^{38}-51q^{36}+157q^{34}-188q^{32}+162q^{30}-84q^{28}+3q^{26}+51q^{24}-78q^{22}+69q^{20}-44q^{18}+20q^{16}+2q^{14}-11q^{12}+13q^{10}-10q^{8}+6q^{6}-2q^{4}+q^{2}$