10 63 Quantum Invariants

Further quantum knot invariants for 10_63.

A1 Invariants.

Weight	Invariant
1	$q^{25}-2q^{23}+q^{21}-3q^{19}+2q^{17}+2q^{11}-2q^{9}+3q^{7}-q^{5}+q^{3}$
2	$q^{70}-2q^{68}-2q^{66}+6q^{64}-2q^{62}-7q^{60}+10q^{58}+4q^{56}-13q^{54}+6q^{52}+8q^{50}-14q^{48}+10q^{44}-7q^{42}-5q^{40}+7q^{38}+4q^{36}-8q^{34}-3q^{32}+12q^{30}-7q^{28}-9q^{26}+14q^{24}-2q^{22}-8q^{20}+9q^{18}-3q^{14}+4q^{12}-q^{8}+q^{6}$
3	$q^{135}-2q^{133}-2q^{131}+3q^{129}+6q^{127}-2q^{125}-13q^{123}+q^{121}+19q^{119}+7q^{117}-25q^{115}-20q^{113}+22q^{111}+35q^{109}-16q^{107}-45q^{105}-3q^{103}+52q^{101}+24q^{99}-44q^{97}-39q^{95}+32q^{93}+53q^{91}-20q^{89}-55q^{87}+2q^{85}+56q^{83}+6q^{81}-50q^{79}-16q^{77}+43q^{75}+24q^{73}-30q^{71}-34q^{69}+16q^{67}+40q^{65}+3q^{63}-45q^{61}-25q^{59}+41q^{57}+41q^{55}-33q^{53}-51q^{51}+18q^{49}+51q^{47}-5q^{45}-41q^{43}-6q^{41}+28q^{39}+9q^{37}-15q^{35}-4q^{33}+4q^{31}+3q^{29}-q^{27}+3q^{25}+2q^{23}-2q^{21}-q^{19}+3q^{17}+q^{15}-q^{11}+q^{9}$
4	$q^{220}-2q^{218}-2q^{216}+3q^{214}+3q^{212}+6q^{210}-9q^{208}-13q^{206}+2q^{204}+10q^{202}+31q^{200}-8q^{198}-41q^{196}-25q^{194}+4q^{192}+79q^{190}+38q^{188}-44q^{186}-82q^{184}-71q^{182}+87q^{180}+124q^{178}+49q^{176}-80q^{174}-189q^{172}-36q^{170}+114q^{168}+190q^{166}+78q^{164}-186q^{162}-204q^{160}-69q^{158}+197q^{156}+279q^{154}+q^{152}-230q^{150}-279q^{148}+33q^{146}+329q^{144}+201q^{142}-106q^{140}-342q^{138}-135q^{136}+235q^{134}+271q^{132}+15q^{130}-277q^{128}-185q^{126}+123q^{124}+239q^{122}+68q^{120}-183q^{118}-181q^{116}+31q^{114}+203q^{112}+119q^{110}-82q^{108}-194q^{106}-105q^{104}+135q^{102}+205q^{100}+92q^{98}-174q^{96}-283q^{94}-23q^{92}+233q^{90}+297q^{88}-28q^{86}-350q^{84}-218q^{82}+99q^{80}+363q^{78}+165q^{76}-216q^{74}-272q^{72}-95q^{70}+223q^{68}+223q^{66}-21q^{64}-149q^{62}-157q^{60}+41q^{58}+123q^{56}+55q^{54}-10q^{52}-90q^{50}-27q^{48}+26q^{46}+31q^{44}+29q^{42}-23q^{40}-14q^{38}-5q^{36}+q^{34}+17q^{32}-q^{30}-3q^{26}-3q^{24}+5q^{22}+q^{18}-q^{14}+q^{12}$
5	$q^{325}-2q^{323}-2q^{321}+3q^{319}+3q^{317}+3q^{315}-q^{313}-9q^{311}-13q^{309}+2q^{307}+20q^{305}+22q^{303}+7q^{301}-24q^{299}-49q^{297}-36q^{295}+31q^{293}+86q^{291}+74q^{289}-q^{287}-110q^{285}-156q^{283}-65q^{281}+116q^{279}+231q^{277}+176q^{275}-33q^{273}-279q^{271}-336q^{269}-124q^{267}+226q^{265}+449q^{263}+360q^{261}-26q^{259}-450q^{257}-582q^{255}-302q^{253}+249q^{251}+690q^{249}+668q^{247}+157q^{245}-543q^{243}-948q^{241}-691q^{239}+149q^{237}+989q^{235}+1174q^{233}+472q^{231}-729q^{229}-1501q^{227}-1138q^{225}+214q^{223}+1519q^{221}+1686q^{219}+464q^{217}-1253q^{215}-2024q^{213}-1096q^{211}+794q^{209}+2050q^{207}+1591q^{205}-241q^{203}-1872q^{201}-1846q^{199}-220q^{197}+1517q^{195}+1864q^{193}+572q^{191}-1147q^{189}-1719q^{187}-730q^{185}+801q^{183}+1476q^{181}+762q^{179}-556q^{177}-1232q^{175}-723q^{173}+386q^{171}+1050q^{169}+697q^{167}-261q^{165}-918q^{163}-745q^{161}+85q^{159}+849q^{157}+905q^{155}+185q^{153}-744q^{151}-1128q^{149}-603q^{147}+525q^{145}+1361q^{143}+1128q^{141}-138q^{139}-1474q^{137}-1677q^{135}-421q^{133}+1358q^{131}+2126q^{129}+1083q^{127}-997q^{125}-2328q^{123}-1689q^{121}+413q^{119}+2195q^{117}+2114q^{115}+245q^{113}-1779q^{111}-2216q^{109}-808q^{107}+1148q^{105}+2006q^{103}+1164q^{101}-518q^{99}-1572q^{97}-1232q^{95}+14q^{93}+1032q^{91}+1085q^{89}+299q^{87}-568q^{85}-821q^{83}-389q^{81}+221q^{79}+526q^{77}+373q^{75}-31q^{73}-306q^{71}-278q^{69}-50q^{67}+148q^{65}+184q^{63}+70q^{61}-61q^{59}-105q^{57}-62q^{55}+17q^{53}+58q^{51}+38q^{49}+5q^{47}-20q^{45}-24q^{43}-9q^{41}+13q^{39}+10q^{37}+4q^{35}+2q^{33}-5q^{31}-4q^{29}+3q^{27}+2q^{25}+q^{21}-q^{17}+q^{15}$

A2 Invariants.

Weight	Invariant
1,0	$q^{38}+q^{36}-2q^{34}-q^{32}-2q^{30}-3q^{28}+2q^{26}+q^{24}+2q^{22}+q^{20}-q^{18}+2q^{16}-q^{14}+q^{12}+2q^{10}-q^{8}+q^{6}$
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^{96}+q^{94}-q^{92}-4 q^{90}-3 q^{88}+2 q^{86}+q^{84}-q^{82}+2 q^{80}+10 q^{78}+8 q^{76}-3 q^{74}-4 q^{72}+2 q^{70}-3 q^{68}-12 q^{66}-9 q^{64}+4 q^{62}+5 q^{60}-2 q^{58}+2 q^{56}+4 q^{54}-q^{52}-3 q^{50}-4 q^{46}-6 q^{44}+3 q^{42}+6 q^{40}-5 q^{38}-3 q^{36}+11 q^{34}+5 q^{32}-7 q^{30}+8 q^{26}+3 q^{24}-5 q^{22}+q^{20}+4 q^{18}-q^{16}-q^{14}+q^{12}}

A3 Invariants.

Weight	Invariant
0,1,0	$q^{80}-2q^{78}+2q^{74}-5q^{72}+4q^{70}+3q^{68}-6q^{66}+8q^{64}+5q^{62}-9q^{60}+7q^{58}+3q^{56}-13q^{54}-q^{52}-8q^{48}-5q^{46}+q^{44}+5q^{42}-3q^{40}+q^{38}+14q^{36}-5q^{34}-4q^{32}+12q^{30}-4q^{28}-6q^{26}+9q^{24}-3q^{20}+4q^{18}+q^{16}-q^{14}+q^{12}$
1,0,0	$q^{51}+q^{49}+q^{47}-2q^{45}-q^{43}-4q^{41}-2q^{39}-3q^{37}+2q^{35}+q^{33}+3q^{31}+2q^{29}+q^{27}-q^{23}+2q^{21}-q^{19}+2q^{17}+2q^{13}-q^{11}+q^{9}$

B2 Invariants.

Weight	Invariant
0,1	$q^{80}-2q^{78}+4q^{76}-6q^{74}+9q^{72}-12q^{70}+13q^{68}-14q^{66}+12q^{64}-11q^{62}+5q^{60}-q^{58}-7q^{56}+13q^{54}-19q^{52}+24q^{50}-26q^{48}+27q^{46}-23q^{44}+19q^{42}-13q^{40}+7q^{38}-5q^{34}+10q^{32}-12q^{30}+14q^{28}-12q^{26}+11q^{24}-8q^{22}+7q^{20}-4q^{18}+3q^{16}-q^{14}+q^{12}$
1,0	$q^{130}-2q^{126}-2q^{124}+2q^{122}+4q^{120}-2q^{118}-7q^{116}-q^{114}+10q^{112}+7q^{110}-7q^{108}-11q^{106}+4q^{104}+15q^{102}+6q^{100}-13q^{98}-11q^{96}+6q^{94}+13q^{92}-q^{90}-13q^{88}-5q^{86}+7q^{84}+4q^{82}-8q^{80}-7q^{78}+4q^{76}+6q^{74}-6q^{72}-10q^{70}+2q^{68}+11q^{66}+q^{64}-10q^{62}-3q^{60}+12q^{58}+10q^{56}-6q^{54}-12q^{52}+2q^{50}+14q^{48}+6q^{46}-9q^{44}-9q^{42}+2q^{40}+10q^{38}+4q^{36}-4q^{34}-5q^{32}+q^{30}+4q^{28}+2q^{26}-q^{24}-q^{22}+q^{18}$

G2 Invariants.

Weight

Invariant

1,0

$q^{190}-2q^{188}+4q^{186}-7q^{184}+6q^{182}-6q^{180}-q^{178}+14q^{176}-25q^{174}+34q^{172}-31q^{170}+16q^{168}+9q^{166}-37q^{164}+62q^{162}-65q^{160}+47q^{158}-6q^{156}-32q^{154}+62q^{152}-67q^{150}+46q^{148}-10q^{146}-26q^{144}+43q^{142}-49q^{140}+19q^{138}+22q^{136}-49q^{134}+52q^{132}-40q^{130}-2q^{128}+41q^{126}-76q^{124}+77q^{122}-66q^{120}+26q^{118}+29q^{116}-71q^{114}+89q^{112}-76q^{110}+43q^{108}+4q^{106}-43q^{104}+59q^{102}-49q^{100}+26q^{98}+15q^{96}-35q^{94}+40q^{92}-17q^{90}-15q^{88}+41q^{86}-50q^{84}+40q^{82}-16q^{80}-13q^{78}+38q^{76}-48q^{74}+47q^{72}-31q^{70}+11q^{68}+5q^{66}-22q^{64}+29q^{62}-30q^{60}+27q^{58}-13q^{56}+4q^{54}+7q^{52}-13q^{50}+15q^{48}-12q^{46}+8q^{44}-2q^{42}-q^{40}+3q^{38}-3q^{36}+3q^{34}-q^{32}+q^{30}$