10 39 Quantum Invariants

Further quantum knot invariants for 10_39.

A1 Invariants.

Weight	Invariant
1	$q^{21}-2q^{19}+2q^{17}-3q^{15}+2q^{13}-q^{9}+2q^{7}-2q^{5}+3q^{3}-q+q^{-1}$
2	$q^{58}-2q^{56}-q^{54}+5q^{52}-5q^{50}-q^{48}+12q^{46}-11q^{44}-6q^{42}+18q^{40}-10q^{38}-10q^{36}+15q^{34}-9q^{30}+q^{28}+8q^{26}-4q^{24}-11q^{22}+12q^{20}+4q^{18}-17q^{16}+10q^{14}+11q^{12}-15q^{10}+2q^{8}+11q^{6}-7q^{4}-2q^{2}+5-q^{-2}-q^{-4}+q^{-6}$
3	$q^{111}-2q^{109}-q^{107}+2q^{105}+3q^{103}-2q^{101}-4q^{99}+6q^{97}+q^{95}-11q^{93}-3q^{91}+22q^{89}+5q^{87}-35q^{85}-12q^{83}+50q^{81}+25q^{79}-59q^{77}-43q^{75}+60q^{73}+58q^{71}-51q^{69}-65q^{67}+29q^{65}+69q^{63}-7q^{61}-58q^{59}-16q^{57}+43q^{55}+36q^{53}-27q^{51}-52q^{49}+10q^{47}+62q^{45}+6q^{43}-69q^{41}-23q^{39}+68q^{37}+42q^{35}-64q^{33}-56q^{31}+49q^{29}+67q^{27}-29q^{25}-71q^{23}+7q^{21}+66q^{19}+12q^{17}-49q^{15}-23q^{13}+32q^{11}+29q^{9}-17q^{7}-22q^{5}+4q^{3}+16q+q^{-1}-8q^{-3}-2q^{-5}+4q^{-7}+q^{-9}-q^{-11}-q^{-13}+q^{-15}$
4	$q^{180}-2q^{178}-q^{176}+2q^{174}+6q^{170}-5q^{168}-3q^{166}+q^{164}-9q^{162}+13q^{160}-4q^{158}+8q^{156}+12q^{154}-31q^{152}-5q^{150}-16q^{148}+45q^{146}+67q^{144}-49q^{142}-74q^{140}-89q^{138}+88q^{136}+203q^{134}+5q^{132}-164q^{130}-260q^{128}+52q^{126}+358q^{124}+176q^{122}-153q^{120}-443q^{118}-118q^{116}+374q^{114}+354q^{112}+10q^{110}-448q^{108}-295q^{106}+183q^{104}+364q^{102}+208q^{100}-242q^{98}-329q^{96}-66q^{94}+209q^{92}+288q^{90}+16q^{88}-231q^{86}-241q^{84}+26q^{82}+278q^{80}+211q^{78}-121q^{76}-342q^{74}-111q^{72}+242q^{70}+351q^{68}-16q^{66}-398q^{64}-237q^{62}+160q^{60}+443q^{58}+131q^{56}-354q^{54}-350q^{52}-19q^{50}+425q^{48}+294q^{46}-170q^{44}-354q^{42}-227q^{40}+243q^{38}+338q^{36}+68q^{34}-192q^{32}-310q^{30}+6q^{28}+208q^{26}+177q^{24}+14q^{22}-205q^{20}-106q^{18}+29q^{16}+117q^{14}+100q^{12}-57q^{10}-71q^{8}-44q^{6}+23q^{4}+63q^{2}+5-12q^{-2}-27q^{-4}-8q^{-6}+18q^{-8}+4q^{-10}+3q^{-12}-6q^{-14}-4q^{-16}+4q^{-18}+q^{-22}-q^{-24}-q^{-26}+q^{-28}$
5	$q^{265}-2q^{263}-q^{261}+2q^{259}+3q^{255}+3q^{253}-4q^{251}-8q^{249}-2q^{247}-2q^{245}+6q^{243}+17q^{241}+10q^{239}-7q^{237}-24q^{235}-25q^{233}-10q^{231}+29q^{229}+65q^{227}+41q^{225}-39q^{223}-106q^{221}-105q^{219}+3q^{217}+180q^{215}+238q^{213}+48q^{211}-253q^{209}-416q^{207}-206q^{205}+308q^{203}+686q^{201}+470q^{199}-304q^{197}-988q^{195}-870q^{193}+161q^{191}+1272q^{189}+1388q^{187}+167q^{185}-1453q^{183}-1947q^{181}-666q^{179}+1416q^{177}+2419q^{175}+1300q^{173}-1116q^{171}-2695q^{169}-1924q^{167}+591q^{165}+2652q^{163}+2394q^{161}+72q^{159}-2266q^{157}-2625q^{155}-730q^{153}+1665q^{151}+2513q^{149}+1246q^{147}-907q^{145}-2153q^{143}-1572q^{141}+203q^{139}+1628q^{137}+1659q^{135}+406q^{133}-1062q^{131}-1614q^{129}-862q^{127}+562q^{125}+1497q^{123}+1180q^{121}-152q^{119}-1395q^{117}-1433q^{115}-156q^{113}+1347q^{111}+1665q^{109}+412q^{107}-1320q^{105}-1908q^{103}-689q^{101}+1292q^{99}+2165q^{97}+1007q^{95}-1184q^{93}-2368q^{91}-1399q^{89}+920q^{87}+2493q^{85}+1813q^{83}-513q^{81}-2414q^{79}-2189q^{77}-51q^{75}+2115q^{73}+2429q^{71}+670q^{69}-1589q^{67}-2440q^{65}-1233q^{63}+900q^{61}+2164q^{59}+1625q^{57}-163q^{55}-1663q^{53}-1737q^{51}-468q^{49}+1006q^{47}+1552q^{45}+894q^{43}-349q^{41}-1165q^{39}-1024q^{37}-162q^{35}+670q^{33}+898q^{31}+475q^{29}-221q^{27}-638q^{25}-532q^{23}-85q^{21}+322q^{19}+440q^{17}+241q^{15}-93q^{13}-276q^{11}-234q^{9}-51q^{7}+124q^{5}+172q^{3}+91q-27q^{-1}-92q^{-3}-78q^{-5}-12q^{-7}+36q^{-9}+43q^{-11}+24q^{-13}-9q^{-15}-23q^{-17}-12q^{-19}+2q^{-21}+4q^{-23}+7q^{-25}+3q^{-27}-5q^{-29}-2q^{-31}+2q^{-33}+q^{-39}-q^{-41}-q^{-43}+q^{-45}$

A2 Invariants.

Weight	Invariant
1,0	$q^{30}-q^{28}-2q^{22}+2q^{20}-q^{18}+q^{16}-2q^{12}+2q^{10}-q^{8}+2q^{6}+q^{4}+1$
1,1	$q^{84}-4q^{82}+10q^{80}-20q^{78}+34q^{76}-54q^{74}+80q^{72}-112q^{70}+146q^{68}-182q^{66}+224q^{64}-258q^{62}+281q^{60}-284q^{58}+260q^{56}-208q^{54}+112q^{52}+14q^{50}-158q^{48}+312q^{46}-452q^{44}+566q^{42}-638q^{40}+656q^{38}-621q^{36}+534q^{34}-410q^{32}+256q^{30}-92q^{28}-66q^{26}+196q^{24}-288q^{22}+342q^{20}-352q^{18}+326q^{16}-274q^{14}+215q^{12}-154q^{10}+104q^{8}-60q^{6}+35q^{4}-16q^{2}+8-2q^{-2}+q^{-4}$
2,0	$q^{76}-q^{74}-q^{72}+q^{64}+4q^{62}-2q^{60}-4q^{58}+3q^{56}+5q^{54}-7q^{52}-5q^{50}+7q^{48}+3q^{46}-6q^{44}-2q^{42}+8q^{40}-3q^{38}-6q^{36}+4q^{34}+q^{32}-5q^{30}+2q^{28}+5q^{26}-5q^{24}-3q^{22}+7q^{20}+3q^{18}-7q^{16}-q^{14}+8q^{12}-4q^{8}+q^{6}+4q^{4}+q^{2}-1+q^{-4}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{68}-2q^{66}+4q^{62}-6q^{60}-q^{58}+10q^{56}-8q^{54}-5q^{52}+16q^{50}-7q^{48}-8q^{46}+13q^{44}-4q^{42}-7q^{40}+4q^{38}+3q^{36}-3q^{34}-6q^{32}+7q^{30}+3q^{28}-13q^{26}+6q^{24}+8q^{22}-14q^{20}+4q^{18}+8q^{16}-9q^{14}+5q^{12}+5q^{10}-3q^{8}+3q^{6}+2q^{4}-q^{2}+1$
1,0,0	$q^{39}-q^{37}+q^{35}-2q^{33}+q^{31}-2q^{29}+2q^{27}-q^{25}+q^{23}-q^{19}-2q^{15}+2q^{13}-q^{11}+3q^{9}+2q^{5}+q$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{86}-q^{84}-2q^{82}+3q^{80}+2q^{78}-6q^{76}-2q^{74}+7q^{72}-8q^{68}+2q^{66}+10q^{64}-4q^{62}-7q^{60}+9q^{58}+4q^{56}-9q^{54}+3q^{52}+8q^{50}-7q^{48}-6q^{46}+7q^{44}-q^{42}-12q^{40}+q^{38}+10q^{36}-6q^{34}-8q^{32}+8q^{30}+3q^{28}-7q^{26}-q^{24}+5q^{22}-q^{18}+3q^{16}+4q^{14}+q^{12}+2q^{10}+3q^{8}+q^{6}+q^{2}$
1,0,0,0	$q^{48}-q^{46}+q^{44}-q^{42}-q^{40}+q^{38}-2q^{36}+2q^{34}-q^{32}+q^{30}-q^{24}-q^{22}-2q^{18}+2q^{16}-q^{14}+3q^{12}+q^{10}+q^{8}+2q^{6}+q^{2}$

B2 Invariants.

Weight	Invariant
0,1	$q^{68}-2q^{66}+4q^{64}-6q^{62}+8q^{60}-11q^{58}+14q^{56}-16q^{54}+15q^{52}-14q^{50}+9q^{48}-4q^{46}-3q^{44}+12q^{42}-19q^{40}+26q^{38}-29q^{36}+31q^{34}-30q^{32}+25q^{30}-19q^{28}+11q^{26}-4q^{24}-4q^{22}+10q^{20}-14q^{18}+16q^{16}-15q^{14}+15q^{12}-11q^{10}+9q^{8}-5q^{6}+4q^{4}-q^{2}+1$
1,0	$q^{110}-2q^{106}-2q^{104}+2q^{102}+5q^{100}-7q^{96}-6q^{94}+5q^{92}+12q^{90}+2q^{88}-13q^{86}-10q^{84}+8q^{82}+17q^{80}-16q^{76}-7q^{74}+12q^{72}+11q^{70}-8q^{68}-12q^{66}+3q^{64}+12q^{62}-11q^{58}-3q^{56}+9q^{54}+4q^{52}-9q^{50}-6q^{48}+8q^{46}+9q^{44}-7q^{42}-14q^{40}+2q^{38}+17q^{36}+6q^{34}-15q^{32}-14q^{30}+8q^{28}+17q^{26}+q^{24}-13q^{22}-7q^{20}+9q^{18}+9q^{16}-q^{14}-6q^{12}-q^{10}+4q^{8}+3q^{6}-q^{4}-q^{2}+q^{-2}$

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{94}-2q^{92}+2q^{90}-3q^{88}+5q^{86}-7q^{84}+6q^{82}-8q^{80}+12q^{78}-12q^{76}+10q^{74}-11q^{72}+14q^{70}-8q^{68}+5q^{66}-4q^{64}+7q^{60}-11q^{58}+12q^{56}-19q^{54}+22q^{52}-22q^{50}+23q^{48}-25q^{46}+22q^{44}-18q^{42}+16q^{40}-14q^{38}+7q^{36}-3q^{34}-q^{32}+3q^{30}-9q^{28}+11q^{26}-12q^{24}+12q^{22}-12q^{20}+14q^{18}-8q^{16}+10q^{14}-5q^{12}+7q^{10}-2q^{8}+3q^{6}-q^{4}+q^{2}$

G2 Invariants.

Weight

Invariant

1,0

$q^{162}-2q^{160}+4q^{158}-6q^{156}+4q^{154}-2q^{152}-4q^{150}+12q^{148}-17q^{146}+22q^{144}-22q^{142}+12q^{140}+3q^{138}-21q^{136}+38q^{134}-49q^{132}+50q^{130}-37q^{128}+11q^{126}+26q^{124}-56q^{122}+77q^{120}-70q^{118}+44q^{116}-7q^{114}-37q^{112}+60q^{110}-59q^{108}+33q^{106}+9q^{104}-43q^{102}+49q^{100}-29q^{98}-16q^{96}+61q^{94}-92q^{92}+84q^{90}-45q^{88}-16q^{86}+83q^{84}-119q^{82}+121q^{80}-83q^{78}+20q^{76}+43q^{74}-88q^{72}+100q^{70}-77q^{68}+32q^{66}+22q^{64}-56q^{62}+58q^{60}-32q^{58}-13q^{56}+50q^{54}-69q^{52}+51q^{50}-12q^{48}-38q^{46}+82q^{44}-92q^{42}+72q^{40}-28q^{38}-23q^{36}+59q^{34}-72q^{32}+65q^{30}-37q^{28}+8q^{26}+18q^{24}-30q^{22}+31q^{20}-21q^{18}+12q^{16}-q^{14}-4q^{12}+6q^{10}-5q^{8}+4q^{6}-q^{4}+q^{2}$