10 85 Quantum Invariants

Further quantum knot invariants for 10_85.

A1 Invariants.

Weight	Invariant
1	$-q^{19}+2q^{17}-2q^{15}+2q^{13}-2q^{11}+q^{7}-q^{5}+3q^{3}-q+2q^{-1}-q^{-3}$
2	$q^{52}-2q^{50}+4q^{46}-5q^{44}+q^{42}+4q^{40}-8q^{38}+5q^{36}+6q^{34}-10q^{32}+q^{30}+9q^{28}-5q^{26}-6q^{24}+6q^{22}+3q^{20}-8q^{18}-q^{16}+9q^{14}-5q^{12}-6q^{10}+11q^{8}-10q^{4}+9q^{2}+6-9q^{-2}+q^{-4}+6q^{-6}-3q^{-8}-2q^{-10}+q^{-12}$
3	$-q^{99}+2q^{97}-2q^{93}-q^{91}+3q^{89}+4q^{87}-5q^{85}-4q^{83}-q^{81}+5q^{79}+8q^{77}-16q^{73}-12q^{71}+24q^{69}+26q^{67}-21q^{65}-41q^{63}+8q^{61}+46q^{59}+11q^{57}-39q^{55}-28q^{53}+19q^{51}+40q^{49}+4q^{47}-41q^{45}-19q^{43}+33q^{41}+32q^{39}-28q^{37}-35q^{35}+18q^{33}+37q^{31}-15q^{29}-37q^{27}+6q^{25}+40q^{23}+5q^{21}-40q^{19}-20q^{17}+35q^{15}+35q^{13}-20q^{11}-44q^{9}-q^{7}+47q^{5}+20q^{3}-31q-34q^{-1}+16q^{-3}+36q^{-5}+3q^{-7}-27q^{-9}-13q^{-11}+13q^{-13}+15q^{-15}-4q^{-17}-9q^{-19}-2q^{-21}+3q^{-23}+2q^{-25}-q^{-27}$
4	$q^{160}-2q^{158}+2q^{154}-q^{152}+3q^{150}-8q^{148}+8q^{144}+4q^{142}+10q^{140}-28q^{138}-17q^{136}+13q^{134}+33q^{132}+46q^{130}-49q^{128}-78q^{126}-25q^{124}+81q^{122}+148q^{120}-24q^{118}-178q^{116}-152q^{114}+79q^{112}+297q^{110}+122q^{108}-201q^{106}-333q^{104}-80q^{102}+323q^{100}+318q^{98}-12q^{96}-337q^{94}-295q^{92}+91q^{90}+308q^{88}+225q^{86}-81q^{84}-289q^{82}-169q^{80}+65q^{78}+247q^{76}+167q^{74}-99q^{72}-226q^{70}-118q^{68}+137q^{66}+218q^{64}+19q^{62}-188q^{60}-146q^{58}+95q^{56}+211q^{54}+34q^{52}-206q^{50}-166q^{48}+91q^{46}+252q^{44}+99q^{42}-208q^{40}-246q^{38}-12q^{36}+250q^{34}+234q^{32}-74q^{30}-254q^{28}-189q^{26}+84q^{24}+274q^{22}+140q^{20}-79q^{18}-245q^{16}-152q^{14}+101q^{12}+201q^{10}+156q^{8}-72q^{6}-207q^{4}-120q^{2}+32+191q^{-2}+124q^{-4}-39q^{-6}-132q^{-8}-128q^{-10}+33q^{-12}+109q^{-14}+83q^{-16}+q^{-18}-90q^{-20}-54q^{-22}+44q^{-26}+45q^{-28}-7q^{-30}-20q^{-32}-20q^{-34}-3q^{-36}+12q^{-38}+5q^{-40}+2q^{-42}-3q^{-44}-2q^{-46}+q^{-48}$
5	$-q^{235}+2q^{233}-2q^{229}+q^{227}-q^{225}+2q^{223}+4q^{221}-3q^{219}-11q^{217}-4q^{215}+9q^{213}+21q^{211}+18q^{209}-17q^{207}-51q^{205}-44q^{203}+28q^{201}+98q^{199}+84q^{197}-22q^{195}-162q^{193}-174q^{191}+19q^{189}+265q^{187}+288q^{185}+2q^{183}-386q^{181}-488q^{179}-66q^{177}+569q^{175}+775q^{173}+193q^{171}-752q^{169}-1154q^{167}-475q^{165}+857q^{163}+1619q^{161}+928q^{159}-785q^{157}-2007q^{155}-1521q^{153}+399q^{151}+2165q^{149}+2143q^{147}+253q^{145}-1932q^{143}-2546q^{141}-1047q^{139}+1276q^{137}+2531q^{135}+1745q^{133}-357q^{131}-2058q^{129}-2080q^{127}-558q^{125}+1227q^{123}+1975q^{121}+1235q^{119}-325q^{117}-1519q^{115}-1513q^{113}-399q^{111}+914q^{109}+1450q^{107}+818q^{105}-423q^{103}-1220q^{101}-910q^{99}+164q^{97}+985q^{95}+831q^{93}-128q^{91}-927q^{89}-727q^{87}+260q^{85}+1010q^{83}+736q^{81}-370q^{79}-1229q^{77}-907q^{75}+388q^{73}+1447q^{71}+1210q^{69}-207q^{67}-1564q^{65}-1578q^{63}-155q^{61}+1483q^{59}+1896q^{57}+664q^{55}-1165q^{53}-2042q^{51}-1220q^{49}+603q^{47}+1928q^{45}+1677q^{43}+95q^{41}-1500q^{39}-1879q^{37}-811q^{35}+804q^{33}+1735q^{31}+1340q^{29}-3q^{27}-1218q^{25}-1496q^{23}-730q^{21}+473q^{19}+1260q^{17}+1136q^{15}+277q^{13}-665q^{11}-1117q^{9}-817q^{7}-14q^{5}+728q^{3}+944q+553q^{-1}-149q^{-3}-708q^{-5}-767q^{-7}-339q^{-9}+263q^{-11}+643q^{-13}+568q^{-15}+157q^{-17}-309q^{-19}-522q^{-21}-378q^{-23}-11q^{-25}+294q^{-27}+362q^{-29}+207q^{-31}-55q^{-33}-231q^{-35}-221q^{-37}-78q^{-39}+68q^{-41}+139q^{-43}+113q^{-45}+17q^{-47}-55q^{-49}-68q^{-51}-38q^{-53}+26q^{-57}+28q^{-59}+8q^{-61}-5q^{-63}-8q^{-65}-5q^{-67}-2q^{-69}+3q^{-71}+2q^{-73}-q^{-75}$
6	$q^{324}-2q^{322}+2q^{318}-q^{316}+q^{314}-4q^{312}+2q^{310}-q^{308}+6q^{306}+11q^{304}-12q^{302}-11q^{300}-18q^{298}+2q^{296}+17q^{294}+47q^{292}+44q^{290}-41q^{288}-75q^{286}-90q^{284}-17q^{282}+75q^{280}+182q^{278}+153q^{276}-76q^{274}-218q^{272}-267q^{270}-81q^{268}+190q^{266}+433q^{264}+310q^{262}-211q^{260}-543q^{258}-523q^{256}+33q^{254}+712q^{252}+1028q^{250}+384q^{248}-974q^{246}-1765q^{244}-1298q^{242}+534q^{240}+2539q^{238}+3158q^{236}+1183q^{234}-2494q^{232}-5070q^{230}-4381q^{228}-69q^{226}+5342q^{224}+8081q^{222}+5240q^{220}-2104q^{218}-9094q^{216}-10797q^{214}-5175q^{212}+4807q^{210}+12834q^{208}+12918q^{206}+4288q^{204}-7748q^{202}-15562q^{200}-13829q^{198}-3187q^{196}+9931q^{194}+17032q^{192}+13631q^{190}+2016q^{188}-10703q^{186}-16838q^{184}-12833q^{182}-1379q^{180}+10291q^{178}+15360q^{176}+11501q^{174}+1425q^{172}-8783q^{170}-13354q^{168}-10152q^{166}-1653q^{164}+6958q^{162}+11125q^{160}+8833q^{158}+1862q^{156}-5568q^{154}-9192q^{152}-7229q^{150}-1383q^{148}+4763q^{146}+7392q^{144}+5244q^{142}+18q^{140}-4554q^{138}-5416q^{136}-2475q^{134}+1912q^{132}+4281q^{130}+3028q^{128}-816q^{126}-3930q^{124}-3547q^{122}+90q^{120}+4183q^{118}+5212q^{116}+2034q^{114}-3488q^{112}-7119q^{110}-5611q^{108}+407q^{106}+6874q^{104}+9026q^{102}+4957q^{100}-3165q^{98}-9823q^{96}-10083q^{94}-3372q^{92}+6017q^{90}+11908q^{88}+10233q^{86}+1578q^{84}-8540q^{82}-13387q^{80}-9661q^{78}+278q^{76}+10299q^{74}+14089q^{72}+9013q^{70}-1786q^{68}-11492q^{66}-14080q^{64}-8233q^{62}+2568q^{60}+11791q^{58}+13804q^{56}+7594q^{54}-2862q^{52}-11230q^{50}-13011q^{48}-7287q^{46}+2356q^{44}+10184q^{42}+11892q^{40}+6984q^{38}-1264q^{36}-8438q^{34}-10547q^{32}-6917q^{30}+35q^{28}+6326q^{26}+8811q^{24}+6784q^{22}+1401q^{20}-4079q^{18}-7044q^{16}-6261q^{14}-2637q^{12}+1832q^{10}+5138q^{8}+5569q^{6}+3479q^{4}-60q^{2}-3124-4569q^{-2}-3845q^{-4}-1314q^{-6}+1442q^{-8}+3385q^{-10}+3544q^{-12}+2218q^{-14}-97q^{-16}-2170q^{-18}-2964q^{-20}-2421q^{-22}-772q^{-24}+969q^{-26}+2230q^{-28}+2212q^{-30}+1189q^{-32}-191q^{-34}-1351q^{-36}-1702q^{-38}-1309q^{-40}-243q^{-42}+673q^{-44}+1138q^{-46}+1032q^{-48}+474q^{-50}-190q^{-52}-698q^{-54}-689q^{-56}-435q^{-58}-31q^{-60}+290q^{-62}+421q^{-64}+329q^{-66}+72q^{-68}-89q^{-70}-195q^{-72}-177q^{-74}-93q^{-76}+20q^{-78}+83q^{-80}+69q^{-82}+51q^{-84}+7q^{-86}-20q^{-88}-34q^{-90}-16q^{-92}+q^{-96}+8q^{-98}+5q^{-100}+2q^{-102}-3q^{-104}-2q^{-106}+q^{-108}$

A2 Invariants.

Weight	Invariant
1,0	$-q^{26}+q^{24}-q^{22}+q^{20}-q^{16}+q^{14}-3q^{12}+2q^{10}+2q^{6}+2q^{4}+1-q^{-2}$
1,1	$q^{76}-4q^{74}+8q^{72}-12q^{70}+20q^{68}-32q^{66}+42q^{64}-50q^{62}+60q^{60}-72q^{58}+74q^{56}-68q^{54}+70q^{52}-72q^{50}+72q^{48}-76q^{46}+82q^{44}-86q^{42}+70q^{40}-40q^{38}-10q^{36}+84q^{34}-158q^{32}+230q^{30}-287q^{28}+326q^{26}-338q^{24}+310q^{22}-271q^{20}+202q^{18}-120q^{16}+24q^{14}+69q^{12}-136q^{10}+200q^{8}-216q^{6}+213q^{4}-178q^{2}+140-96q^{-2}+54q^{-4}-30q^{-6}+12q^{-8}-4q^{-10}+q^{-12}$
2,0	$q^{66}-q^{64}+q^{60}-q^{58}+q^{56}-2q^{54}-q^{52}+2q^{48}-3q^{44}+3q^{42}+4q^{40}-2q^{38}-6q^{36}+5q^{34}+2q^{32}-3q^{30}+q^{26}-2q^{24}-5q^{22}+q^{20}-q^{18}-3q^{16}+3q^{14}+6q^{12}-q^{10}+q^{8}+7q^{6}+4q^{4}-3q^{2}-1+2q^{-2}-3q^{-6}-q^{-8}+q^{-10}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{62}-2q^{60}-q^{58}+5q^{56}-3q^{54}-4q^{52}+8q^{50}-q^{48}-7q^{46}+7q^{44}+q^{42}-9q^{40}+4q^{38}+2q^{36}-6q^{34}+q^{32}+3q^{30}+2q^{28}-4q^{26}+5q^{22}-8q^{20}-2q^{18}+7q^{16}-3q^{14}+2q^{12}+9q^{10}-2q^{8}+5q^{4}-5q^{2}+1+q^{-2}-2q^{-4}+q^{-6}$
1,0,0	$-q^{33}+q^{31}-2q^{29}+2q^{27}-2q^{25}+2q^{23}-q^{21}-q^{17}-q^{15}+q^{13}+4q^{9}+3q^{5}-q^{3}+q-q^{-1}$
1,0,1	$q^{100}-4q^{98}+6q^{96}-2q^{94}-7q^{92}+17q^{90}-20q^{88}+7q^{86}+16q^{84}-31q^{82}+29q^{80}-13q^{78}-12q^{76}+27q^{74}-24q^{72}+16q^{70}-3q^{68}-4q^{66}-2q^{64}+21q^{62}-41q^{60}+42q^{58}-19q^{56}-32q^{54}+83q^{52}-117q^{50}+117q^{48}-89q^{46}+44q^{44}+9q^{42}-53q^{40}+96q^{38}-114q^{36}+120q^{34}-109q^{32}+76q^{30}-56q^{28}+12q^{26}+7q^{24}-57q^{22}+93q^{20}-110q^{18}+126q^{16}-84q^{14}+59q^{12}+10q^{10}-41q^{8}+75q^{6}-75q^{4}+49q^{2}-24-6q^{-2}+15q^{-4}-16q^{-6}+10q^{-8}-4q^{-10}+q^{-12}$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{76}-q^{74}-2q^{72}+3q^{70}+q^{68}-6q^{66}+q^{64}+8q^{62}-2q^{60}-4q^{58}+7q^{56}+3q^{54}-7q^{52}-4q^{50}+4q^{48}-7q^{46}-8q^{44}+6q^{42}+2q^{40}-7q^{38}+6q^{36}+9q^{34}-8q^{32}-3q^{30}+4q^{28}-q^{26}-6q^{24}+2q^{22}+6q^{20}+3q^{18}+2q^{16}+6q^{14}+2q^{12}+2q^{8}-q^{6}-2q^{4}+q^{2}-q^{-2}+q^{-4}$
1,0,0,0	$-q^{40}+q^{38}-2q^{36}+q^{34}-q^{32}+q^{28}-q^{26}+q^{24}-2q^{22}+q^{20}-2q^{18}+2q^{16}+3q^{12}+2q^{10}+q^{8}+2q^{6}-q^{4}+q^{2}-1$

B2 Invariants.

Weight	Invariant
0,1	$-q^{62}+2q^{60}-3q^{58}+5q^{56}-7q^{54}+8q^{52}-10q^{50}+11q^{48}-11q^{46}+11q^{44}-9q^{42}+5q^{40}-6q^{36}+12q^{34}-17q^{32}+21q^{30}-24q^{28}+24q^{26}-24q^{24}+19q^{22}-14q^{20}+8q^{18}-q^{16}-3q^{14}+10q^{12}-11q^{10}+14q^{8}-12q^{6}+13q^{4}-9q^{2}+7-5q^{-2}+2q^{-4}-q^{-6}$
1,0	$q^{100}-2q^{96}-2q^{94}+q^{92}+5q^{90}+2q^{88}-5q^{86}-6q^{84}+q^{82}+9q^{80}+5q^{78}-6q^{76}-9q^{74}+10q^{70}+5q^{68}-8q^{66}-10q^{64}+3q^{62}+11q^{60}-11q^{56}-4q^{54}+9q^{52}+7q^{50}-5q^{48}-7q^{46}+4q^{44}+7q^{42}-3q^{40}-8q^{38}+2q^{36}+8q^{34}-q^{32}-12q^{30}-6q^{28}+10q^{26}+11q^{24}-3q^{22}-13q^{20}+14q^{16}+10q^{14}-7q^{12}-10q^{10}+3q^{8}+11q^{6}+q^{4}-7q^{2}-4+4q^{-2}+3q^{-4}-2q^{-6}-2q^{-8}+q^{-12}$

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{86}-2q^{84}+q^{82}-2q^{80}+5q^{78}-5q^{76}+4q^{74}-6q^{72}+9q^{70}-7q^{68}+7q^{66}-9q^{64}+9q^{62}-7q^{60}+6q^{58}-6q^{56}+2q^{54}-5q^{50}+7q^{48}-12q^{46}+13q^{44}-16q^{42}+18q^{40}-19q^{38}+20q^{36}-18q^{34}+16q^{32}-15q^{30}+11q^{28}-7q^{26}+4q^{24}-q^{22}-q^{20}+9q^{18}-5q^{16}+11q^{14}-9q^{12}+13q^{10}-10q^{8}+9q^{6}-9q^{4}+7q^{2}-5+3q^{-2}-2q^{-4}+q^{-6}$

G2 Invariants.

Weight

Invariant

1,0

$q^{148}-2q^{146}+3q^{144}-4q^{142}+2q^{140}-q^{138}-2q^{136}+8q^{134}-11q^{132}+14q^{130}-12q^{128}+6q^{126}+2q^{124}-11q^{122}+20q^{120}-24q^{118}+21q^{116}-14q^{114}+q^{112}+9q^{110}-16q^{108}+22q^{106}-24q^{104}+21q^{102}-17q^{100}+3q^{98}+12q^{96}-26q^{94}+33q^{92}-29q^{90}+14q^{88}+9q^{86}-28q^{84}+33q^{82}-18q^{80}-7q^{78}+34q^{76}-45q^{74}+30q^{72}+5q^{70}-40q^{68}+64q^{66}-65q^{64}+40q^{62}-2q^{60}-38q^{58}+62q^{56}-69q^{54}+51q^{52}-22q^{50}-13q^{48}+37q^{46}-47q^{44}+43q^{42}-20q^{40}-10q^{38}+33q^{36}-39q^{34}+27q^{32}+7q^{30}-38q^{28}+60q^{26}-49q^{24}+21q^{22}+22q^{20}-54q^{18}+68q^{16}-53q^{14}+23q^{12}+9q^{10}-34q^{8}+42q^{6}-33q^{4}+18q^{2}-2-8q^{-2}+9q^{-4}-9q^{-6}+5q^{-8}-2q^{-10}+q^{-12}$