10 98 Quantum Invariants

Further quantum knot invariants for 10_98.

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^{21}-2 q^{19}+4 q^{17}-4 q^{15}+q^{13}-2 q^{11}-q^9+4 q^7-2 q^5+4 q^3-2 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}-2 q^{56}+q^{54}+5 q^{52}-11 q^{50}+2 q^{48}+19 q^{46}-24 q^{44}-7 q^{42}+34 q^{40}-20 q^{38}-16 q^{36}+31 q^{34}-20 q^{30}+6 q^{28}+16 q^{26}-14 q^{24}-20 q^{22}+24 q^{20}+4 q^{18}-32 q^{16}+21 q^{14}+20 q^{12}-29 q^{10}+4 q^8+21 q^6-13 q^4-5 q^2+9- q^{-2} -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}-2 q^{109}+q^{107}+2 q^{105}-2 q^{103}-5 q^{101}+5 q^{99}+13 q^{97}-15 q^{95}-30 q^{93}+27 q^{91}+60 q^{89}-27 q^{87}-110 q^{85}+13 q^{83}+166 q^{81}+23 q^{79}-198 q^{77}-87 q^{75}+213 q^{73}+145 q^{71}-179 q^{69}-197 q^{67}+115 q^{65}+206 q^{63}-39 q^{61}-194 q^{59}-40 q^{57}+164 q^{55}+103 q^{53}-111 q^{51}-152 q^{49}+75 q^{47}+186 q^{45}-16 q^{43}-218 q^{41}-28 q^{39}+217 q^{37}+84 q^{35}-213 q^{33}-146 q^{31}+174 q^{29}+189 q^{27}-111 q^{25}-212 q^{23}+41 q^{21}+199 q^{19}+31 q^{17}-155 q^{15}-71 q^{13}+94 q^{11}+86 q^9-42 q^7-66 q^5+4 q^3+42 q+10 q^{-1} -19 q^{-3} -8 q^{-5} +6 q^{-7} +4 q^{-9} - q^{-11} -2 q^{-13} + q^{-15} }

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

A3 Invariants.

Weight	Invariant
0,1,0	$q^{68}-2q^{66}+6q^{62}-7q^{60}-4q^{58}+17q^{56}-13q^{54}-13q^{52}+24q^{50}-14q^{48}-14q^{46}+27q^{44}-5q^{40}+16q^{38}+4q^{36}-8q^{34}-17q^{32}-q^{28}-26q^{26}+10q^{24}+19q^{22}-19q^{20}+11q^{18}+18q^{16}-17q^{14}+8q^{12}+8q^{10}-8q^{8}+4q^{6}+2q^{4}-2q^{2}+1$
1,0,0	$q^{39}-q^{37}+3q^{35}+3q^{31}-3q^{29}-6q^{25}-3q^{23}-2q^{21}+3q^{17}+q^{15}+5q^{13}-q^{11}+3q^{9}-q^{7}+2q^{5}-q^{3}+q$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{86}-q^{84}-2q^{82}+5q^{80}+4q^{78}-8q^{76}-2q^{74}+12q^{72}-q^{70}-20q^{68}-3q^{66}+10q^{64}-15q^{62}-17q^{60}+22q^{58}+22q^{56}-3q^{54}+21q^{52}+33q^{50}-3q^{48}-18q^{46}+4q^{44}-15q^{42}-43q^{40}-15q^{38}+10q^{36}-16q^{34}-15q^{32}+25q^{30}+16q^{28}-8q^{26}+4q^{24}+18q^{22}+q^{20}-6q^{18}+6q^{16}+7q^{14}-3q^{12}-q^{10}+4q^{8}-q^{4}+q^{2}$
1,0,0,0	$q^{48}-q^{46}+3q^{44}+q^{42}+q^{40}+3q^{38}-3q^{36}-6q^{32}-4q^{30}-4q^{28}-2q^{26}+2q^{22}+4q^{20}+q^{18}+5q^{16}-q^{14}+3q^{12}+2q^{6}-q^{4}+q^{2}$

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	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}-2 q^{106}-2 q^{104}+2 q^{102}+7 q^{100}+2 q^{98}-10 q^{96}-11 q^{94}+5 q^{92}+21 q^{90}+6 q^{88}-23 q^{86}-22 q^{84}+12 q^{82}+30 q^{80}+q^{78}-31 q^{76}-15 q^{74}+24 q^{72}+25 q^{70}-10 q^{68}-22 q^{66}+8 q^{64}+27 q^{62}+6 q^{60}-22 q^{58}-8 q^{56}+16 q^{54}+8 q^{52}-21 q^{50}-19 q^{48}+10 q^{46}+16 q^{44}-13 q^{42}-29 q^{40}+2 q^{38}+32 q^{36}+15 q^{34}-25 q^{32}-24 q^{30}+16 q^{28}+34 q^{26}+2 q^{24}-25 q^{22}-13 q^{20}+17 q^{18}+17 q^{16}-4 q^{14}-12 q^{12}-2 q^{10}+7 q^8+4 q^6-2 q^4-2 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}-2 q^{92}+2 q^{90}-3 q^{88}+7 q^{86}-10 q^{84}+10 q^{82}-13 q^{80}+21 q^{78}-23 q^{76}+19 q^{74}-25 q^{72}+24 q^{70}-21 q^{68}+12 q^{66}-11 q^{64}+6 q^{62}+14 q^{60}-9 q^{58}+28 q^{56}-26 q^{54}+44 q^{52}-41 q^{50}+41 q^{48}-55 q^{46}+34 q^{44}-47 q^{42}+24 q^{40}-34 q^{38}+13 q^{36}-6 q^{34}+3 q^{32}+11 q^{30}-10 q^{28}+26 q^{26}-19 q^{24}+26 q^{22}-23 q^{20}+25 q^{18}-18 q^{16}+17 q^{14}-12 q^{12}+10 q^{10}-5 q^8+4 q^6-2 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}-2 q^{160}+4 q^{158}-6 q^{156}+6 q^{154}-5 q^{152}+10 q^{148}-21 q^{146}+31 q^{144}-39 q^{142}+33 q^{140}-18 q^{138}-12 q^{136}+58 q^{134}-94 q^{132}+117 q^{130}-107 q^{128}+56 q^{126}+17 q^{124}-112 q^{122}+185 q^{120}-203 q^{118}+154 q^{116}-41 q^{114}-84 q^{112}+183 q^{110}-192 q^{108}+134 q^{106}-19 q^{104}-110 q^{102}+175 q^{100}-143 q^{98}+34 q^{96}+116 q^{94}-230 q^{92}+256 q^{90}-161 q^{88}-7 q^{86}+163 q^{84}-297 q^{82}+322 q^{80}-242 q^{78}+78 q^{76}+92 q^{74}-232 q^{72}+288 q^{70}-230 q^{68}+90 q^{66}+43 q^{64}-158 q^{62}+191 q^{60}-129 q^{58}+8 q^{56}+128 q^{54}-194 q^{52}+181 q^{50}-68 q^{48}-83 q^{46}+204 q^{44}-244 q^{42}+197 q^{40}-81 q^{38}-51 q^{36}+157 q^{34}-188 q^{32}+162 q^{30}-84 q^{28}+3 q^{26}+51 q^{24}-78 q^{22}+69 q^{20}-44 q^{18}+20 q^{16}+2 q^{14}-11 q^{12}+13 q^{10}-10 q^8+6 q^6-2 q^4+q^2}