10 78 Quantum Invariants

Further quantum knot invariants for 10_78.

A1 Invariants.

Weight	Invariant
1	$q^{21}-2q^{19}+2q^{17}-4q^{15}+2q^{13}+3q^{7}-2q^{5}+3q^{3}-2q+q^{-1}$
2	$q^{58}-2q^{56}-q^{54}+5q^{52}-6q^{50}+13q^{46}-14q^{44}-3q^{42}+22q^{40}-16q^{38}-10q^{36}+20q^{34}-5q^{32}-13q^{30}+5q^{28}+9q^{26}-8q^{24}-10q^{22}+17q^{20}+2q^{18}-20q^{16}+16q^{14}+11q^{12}-21q^{10}+6q^{8}+14q^{6}-12q^{4}-2q^{2}+8-2q^{-2}-2q^{-4}+q^{-6}$
3	$q^{111}-2q^{109}-q^{107}+2q^{105}+3q^{103}-3q^{101}-3q^{99}+8q^{97}-q^{95}-13q^{93}+q^{91}+27q^{89}-6q^{87}-45q^{85}+4q^{83}+69q^{81}+2q^{79}-88q^{77}-21q^{75}+106q^{73}+43q^{71}-106q^{69}-63q^{67}+83q^{65}+87q^{63}-55q^{61}-88q^{59}+12q^{57}+86q^{55}+23q^{53}-68q^{51}-60q^{49}+51q^{47}+81q^{45}-31q^{43}-101q^{41}+6q^{39}+109q^{37}+18q^{35}-110q^{33}-45q^{31}+105q^{29}+68q^{27}-81q^{25}-90q^{23}+56q^{21}+97q^{19}-21q^{17}-88q^{15}-7q^{13}+71q^{11}+29q^{9}-47q^{7}-33q^{5}+21q^{3}+29q-4q^{-1}-19q^{-3}-2q^{-5}+8q^{-7}+3q^{-9}-2q^{-11}-2q^{-13}+q^{-15}$
4	$q^{180}-2q^{178}-q^{176}+2q^{174}+6q^{170}-6q^{168}-2q^{166}+3q^{164}-10q^{162}+12q^{160}-6q^{158}+12q^{156}+13q^{154}-43q^{152}-7q^{150}-4q^{148}+71q^{146}+65q^{144}-107q^{142}-104q^{140}-41q^{138}+196q^{136}+227q^{134}-152q^{132}-308q^{130}-204q^{128}+316q^{126}+519q^{124}-45q^{122}-500q^{120}-523q^{118}+241q^{116}+772q^{114}+266q^{112}-440q^{110}-779q^{108}-87q^{106}+687q^{104}+551q^{102}-71q^{100}-692q^{98}-424q^{96}+268q^{94}+557q^{92}+319q^{90}-316q^{88}-527q^{86}-187q^{84}+349q^{82}+523q^{80}+69q^{78}-467q^{76}-485q^{74}+134q^{72}+582q^{70}+352q^{68}-366q^{66}-672q^{64}-61q^{62}+564q^{60}+582q^{58}-195q^{56}-760q^{54}-308q^{52}+397q^{50}+748q^{48}+115q^{46}-645q^{44}-538q^{42}+44q^{40}+690q^{38}+427q^{36}-283q^{34}-542q^{32}-325q^{30}+358q^{28}+491q^{26}+109q^{24}-266q^{22}-424q^{20}-13q^{18}+262q^{16}+243q^{14}+36q^{12}-241q^{10}-143q^{8}+13q^{6}+126q^{4}+118q^{2}-41-68q^{-2}-53q^{-4}+10q^{-6}+53q^{-8}+11q^{-10}-4q^{-12}-19q^{-14}-9q^{-16}+8q^{-18}+3q^{-20}+3q^{-22}-2q^{-24}-2q^{-26}+q^{-28}$
5	$q^{265}-2q^{263}-q^{261}+2q^{259}+3q^{255}+3q^{253}-5q^{251}-7q^{249}-3q^{245}+6q^{243}+16q^{241}+8q^{239}-8q^{237}-25q^{235}-28q^{233}-6q^{231}+47q^{229}+81q^{227}+28q^{225}-87q^{223}-151q^{221}-88q^{219}+108q^{217}+303q^{215}+223q^{213}-168q^{211}-509q^{209}-440q^{207}+148q^{205}+817q^{203}+838q^{201}-65q^{199}-1195q^{197}-1407q^{195}-211q^{193}+1572q^{191}+2190q^{189}+730q^{187}-1806q^{185}-3106q^{183}-1576q^{181}+1789q^{179}+3974q^{177}+2663q^{175}-1325q^{173}-4556q^{171}-3897q^{169}+436q^{167}+4664q^{165}+4936q^{163}+794q^{161}-4138q^{159}-5525q^{157}-2164q^{155}+3048q^{153}+5537q^{151}+3261q^{149}-1587q^{147}-4837q^{145}-3983q^{143}+26q^{141}+3737q^{139}+4139q^{137}+1286q^{135}-2316q^{133}-3875q^{131}-2296q^{129}+1003q^{127}+3322q^{125}+2898q^{123}+149q^{121}-2715q^{119}-3268q^{117}-994q^{115}+2180q^{113}+3488q^{111}+1657q^{109}-1799q^{107}-3696q^{105}-2184q^{103}+1487q^{101}+3935q^{99}+2738q^{97}-1166q^{95}-4170q^{93}-3343q^{91}+707q^{89}+4279q^{87}+4013q^{85}-11q^{83}-4165q^{81}-4642q^{79}-907q^{77}+3685q^{75}+5042q^{73}+2003q^{71}-2793q^{69}-5134q^{67}-3037q^{65}+1563q^{63}+4686q^{61}+3831q^{59}-121q^{57}-3787q^{55}-4162q^{53}-1207q^{51}+2473q^{49}+3923q^{47}+2205q^{45}-1027q^{43}-3155q^{41}-2666q^{39}-251q^{37}+2062q^{35}+2544q^{33}+1116q^{31}-891q^{29}-1975q^{27}-1480q^{25}-21q^{23}+1199q^{21}+1354q^{19}+562q^{17}-450q^{15}-973q^{13}-715q^{11}-35q^{9}+510q^{7}+583q^{5}+265q^{3}-145q-363q^{-1}-278q^{-3}-37q^{-5}+156q^{-7}+184q^{-9}+93q^{-11}-28q^{-13}-99q^{-15}-73q^{-17}-10q^{-19}+33q^{-21}+35q^{-23}+20q^{-25}-4q^{-27}-19q^{-29}-9q^{-31}+q^{-33}+3q^{-35}+3q^{-37}+3q^{-39}-2q^{-41}-2q^{-43}+q^{-45}$

A2 Invariants.

Weight	Invariant
1,0	$q^{32}+q^{30}-2q^{28}-q^{26}-q^{24}-3q^{22}+2q^{20}+2q^{16}+2q^{14}-q^{12}+3q^{10}-2q^{8}+q^{6}+q^{4}-q^{2}+1$
2,0	$q^{80}+q^{78}-q^{76}-4q^{74}-2q^{72}+2q^{70}-2q^{66}+5q^{64}+10q^{62}-7q^{58}+3q^{56}+8q^{54}-10q^{52}-10q^{50}+4q^{48}+3q^{46}-9q^{44}-4q^{42}+8q^{40}-3q^{38}-4q^{36}+7q^{34}+2q^{32}-8q^{30}+4q^{28}+9q^{26}-5q^{24}-6q^{22}+9q^{20}+8q^{18}-7q^{16}-4q^{14}+9q^{12}+2q^{10}-5q^{8}-q^{6}+3q^{4}+2q^{2}-2-q^{-2}+q^{-4}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{68}-2q^{66}+4q^{62}-7q^{60}-2q^{58}+12q^{56}-7q^{54}-5q^{52}+22q^{50}-6q^{48}-12q^{46}+14q^{44}-9q^{42}-16q^{40}+3q^{38}+q^{36}-4q^{34}-3q^{32}+11q^{30}+8q^{28}-13q^{26}+9q^{24}+12q^{22}-16q^{20}+4q^{18}+12q^{16}-13q^{14}+4q^{12}+7q^{10}-7q^{8}+3q^{6}+2q^{4}-2q^{2}+1$
1,0,0	$q^{43}+q^{41}+q^{39}-2q^{37}-q^{35}-4q^{33}-q^{31}-3q^{29}+3q^{27}+3q^{23}+2q^{21}+q^{19}+q^{17}-q^{15}+2q^{13}-2q^{11}+2q^{9}-q^{7}+2q^{5}-q^{3}+q$

B2 Invariants.

Weight	Invariant
0,1	$q^{68}-2q^{66}+4q^{64}-6q^{62}+9q^{60}-12q^{58}+16q^{56}-19q^{54}+19q^{52}-20q^{50}+14q^{48}-10q^{46}+9q^{42}-20q^{40}+29q^{38}-35q^{36}+40q^{34}-39q^{32}+37q^{30}-28q^{28}+21q^{26}-9q^{24}+10q^{20}-16q^{18}+20q^{16}-21q^{14}+20q^{12}-17q^{10}+13q^{8}-9q^{6}+6q^{4}-2q^{2}+1$
1,0	$q^{110}-2q^{106}-2q^{104}+2q^{102}+5q^{100}-8q^{96}-7q^{94}+5q^{92}+14q^{90}+4q^{88}-14q^{86}-12q^{84}+9q^{82}+23q^{80}+3q^{78}-19q^{76}-12q^{74}+13q^{72}+15q^{70}-9q^{68}-20q^{66}-2q^{64}+14q^{62}+2q^{60}-15q^{58}-8q^{56}+11q^{54}+9q^{52}-8q^{50}-9q^{48}+10q^{46}+14q^{44}-4q^{42}-17q^{40}+q^{38}+21q^{36}+11q^{34}-17q^{32}-19q^{30}+8q^{28}+23q^{26}+4q^{24}-18q^{22}-12q^{20}+11q^{18}+14q^{16}-2q^{14}-10q^{12}-3q^{10}+6q^{8}+4q^{6}-2q^{4}-2q^{2}+q^{-2}$

G2 Invariants.

Weight

Invariant

1,0

$q^{162}-2q^{160}+4q^{158}-6q^{156}+4q^{154}-3q^{152}-4q^{150}+12q^{148}-18q^{146}+25q^{144}-24q^{142}+17q^{140}-19q^{136}+43q^{134}-58q^{132}+62q^{130}-53q^{128}+24q^{126}+19q^{124}-62q^{122}+98q^{120}-102q^{118}+79q^{116}-33q^{114}-31q^{112}+75q^{110}-98q^{108}+78q^{106}-31q^{104}-31q^{102}+66q^{100}-68q^{98}+24q^{96}+39q^{94}-100q^{92}+120q^{90}-93q^{88}+18q^{86}+76q^{84}-150q^{82}+184q^{80}-149q^{78}+68q^{76}+34q^{74}-116q^{72}+160q^{70}-143q^{68}+84q^{66}-3q^{64}-64q^{62}+99q^{60}-81q^{58}+29q^{56}+38q^{54}-84q^{52}+89q^{50}-52q^{48}-18q^{46}+89q^{44}-129q^{42}+125q^{40}-73q^{38}-4q^{36}+76q^{34}-115q^{32}+116q^{30}-79q^{28}+25q^{26}+22q^{24}-54q^{22}+58q^{20}-43q^{18}+24q^{16}-2q^{14}-9q^{12}+12q^{10}-10q^{8}+6q^{6}-2q^{4}+q^{2}$