10 74 Quantum Invariants

Further quantum knot invariants for 10_74.

A1 Invariants.

Weight	Invariant
1	$q^{19}-q^{17}+2q^{15}-4q^{13}+q^{11}-q^{9}+q^{7}+3q^{5}-2q^{3}+3q-2q^{-1}+q^{-3}$
2	$q^{54}-q^{52}-q^{50}+4q^{48}-3q^{46}-7q^{44}+10q^{42}-15q^{38}+15q^{36}+9q^{34}-19q^{32}+7q^{30}+13q^{28}-15q^{26}-4q^{24}+9q^{22}-2q^{20}-10q^{18}+2q^{16}+16q^{14}-12q^{12}-7q^{10}+22q^{8}-8q^{6}-12q^{4}+15q^{2}-2-7q^{-2}+6q^{-4}-2q^{-8}+q^{-10}$
4	$q^{172}-q^{170}-q^{168}+q^{166}+3q^{162}-5q^{160}-5q^{158}+5q^{156}+4q^{154}+14q^{152}-11q^{150}-25q^{148}-3q^{146}+14q^{144}+58q^{142}+4q^{140}-63q^{138}-64q^{136}-17q^{134}+134q^{132}+102q^{130}-43q^{128}-170q^{126}-176q^{124}+130q^{122}+259q^{120}+146q^{118}-161q^{116}-404q^{114}-75q^{112}+277q^{110}+411q^{108}+81q^{106}-467q^{104}-374q^{102}+51q^{100}+517q^{98}+392q^{96}-291q^{94}-518q^{92}-239q^{90}+397q^{88}+538q^{86}-38q^{84}-462q^{82}-397q^{80}+212q^{78}+508q^{76}+138q^{74}-318q^{72}-409q^{70}+40q^{68}+390q^{66}+261q^{64}-144q^{62}-374q^{60}-166q^{58}+203q^{56}+385q^{54}+100q^{52}-279q^{50}-404q^{48}-79q^{46}+446q^{44}+387q^{42}-52q^{40}-530q^{38}-401q^{36}+308q^{34}+537q^{32}+241q^{30}-411q^{28}-548q^{26}+48q^{24}+407q^{22}+377q^{20}-144q^{18}-418q^{16}-111q^{14}+149q^{12}+283q^{10}+23q^{8}-188q^{6}-84q^{4}+q^{2}+121+35q^{-2}-57q^{-4}-20q^{-6}-19q^{-8}+38q^{-10}+10q^{-12}-19q^{-14}+2q^{-16}-8q^{-18}+12q^{-20}+2q^{-22}-7q^{-24}+2q^{-26}-2q^{-28}+3q^{-30}-2q^{-34}+q^{-36}$
5	$q^{255}-q^{253}-q^{251}+q^{249}+q^{243}-3q^{241}-4q^{239}+5q^{237}+8q^{235}+2q^{233}-2q^{231}-13q^{229}-19q^{227}+2q^{225}+30q^{223}+37q^{221}+15q^{219}-35q^{217}-82q^{215}-63q^{213}+29q^{211}+134q^{209}+151q^{207}+32q^{205}-172q^{203}-290q^{201}-181q^{199}+139q^{197}+441q^{195}+434q^{193}+32q^{191}-520q^{189}-758q^{187}-391q^{185}+414q^{183}+1059q^{181}+923q^{179}-46q^{177}-1159q^{175}-1491q^{173}-631q^{171}+930q^{169}+1967q^{167}+1453q^{165}-321q^{163}-2062q^{161}-2313q^{159}-635q^{157}+1782q^{155}+2910q^{153}+1681q^{151}-1044q^{149}-3120q^{147}-2686q^{145}+80q^{143}+2905q^{141}+3357q^{139}+952q^{137}-2321q^{135}-3650q^{133}-1827q^{131}+1588q^{129}+3577q^{127}+2409q^{125}-841q^{123}-3222q^{121}-2686q^{119}+227q^{117}+2763q^{115}+2664q^{113}+215q^{111}-2276q^{109}-2552q^{107}-470q^{105}+1853q^{103}+2322q^{101}+698q^{99}-1469q^{97}-2210q^{95}-902q^{93}+1125q^{91}+2072q^{89}+1258q^{87}-648q^{85}-2030q^{83}-1699q^{81}+69q^{79}+1857q^{77}+2240q^{75}+741q^{73}-1547q^{71}-2742q^{69}-1673q^{67}+964q^{65}+3033q^{63}+2636q^{61}-112q^{59}-3014q^{57}-3457q^{55}-861q^{53}+2573q^{51}+3889q^{49}+1862q^{47}-1802q^{45}-3874q^{43}-2586q^{41}+840q^{39}+3373q^{37}+2925q^{35}+82q^{33}-2553q^{31}-2804q^{29}-770q^{27}+1624q^{25}+2348q^{23}+1081q^{21}-797q^{19}-1682q^{17}-1092q^{15}+214q^{13}+1063q^{11}+870q^{9}+77q^{7}-545q^{5}-586q^{3}-178q+235q^{-1}+342q^{-3}+149q^{-5}-81q^{-7}-161q^{-9}-95q^{-11}+14q^{-13}+72q^{-15}+53q^{-17}-6q^{-19}-31q^{-21}-16q^{-23}+2q^{-25}+10q^{-27}+7q^{-29}-10q^{-33}-2q^{-35}+7q^{-37}+q^{-39}-2q^{-41}+q^{-43}-q^{-45}-2q^{-47}+3q^{-49}-2q^{-53}+q^{-55}$

A2 Invariants.

Weight	Invariant
1,0	$q^{28}+2q^{22}-3q^{20}-2q^{18}-2q^{14}+2q^{12}+2q^{8}+2q^{6}-q^{4}+3q^{2}-1-q^{-2}+q^{-4}$
2,0	$q^{72}+2q^{64}-q^{62}-6q^{60}-2q^{58}+5q^{56}+q^{54}-10q^{52}-2q^{50}+13q^{48}+11q^{46}-9q^{44}-3q^{42}+11q^{40}+4q^{38}-9q^{36}-6q^{34}+5q^{32}-4q^{30}-7q^{28}-q^{26}-3q^{24}-5q^{22}+9q^{20}+7q^{18}-7q^{16}+14q^{12}+4q^{10}-14q^{8}-3q^{6}+14q^{4}+2q^{2}-9-q^{-2}+5q^{-4}+2q^{-6}-2q^{-8}-q^{-10}+q^{-12}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{60}-q^{58}+q^{56}+q^{54}-6q^{52}+q^{50}+2q^{48}-10q^{46}+9q^{44}+11q^{42}-10q^{40}+14q^{38}+9q^{36}-17q^{34}-2q^{32}+q^{30}-13q^{28}-6q^{26}+4q^{24}+6q^{22}-3q^{20}-2q^{18}+16q^{16}-7q^{14}-8q^{12}+18q^{10}-4q^{8}-9q^{6}+13q^{4}-q^{2}-6+5q^{-2}-2q^{-6}+q^{-8}$
1,0,0	$q^{37}+q^{33}+2q^{29}-3q^{27}-q^{25}-3q^{23}-2q^{19}+q^{17}+q^{15}+2q^{11}+q^{9}+3q^{7}-q^{5}+3q^{3}-q-q^{-3}+q^{-5}$

B2 Invariants.

Weight	Invariant
0,1	$q^{60}-q^{58}+3q^{56}-5q^{54}+8q^{52}-11q^{50}+14q^{48}-16q^{46}+17q^{44}-17q^{42}+12q^{40}-8q^{38}-q^{36}+9q^{34}-18q^{32}+25q^{30}-31q^{28}+34q^{26}-34q^{24}+30q^{22}-23q^{20}+16q^{18}-6q^{16}-q^{14}+10q^{12}-14q^{10}+18q^{8}-17q^{6}+17q^{4}-13q^{2}+10-7q^{-2}+4q^{-4}-2q^{-6}+q^{-8}$
1,0	$q^{98}-q^{94}-q^{92}+2q^{90}+3q^{88}-2q^{86}-7q^{84}-3q^{82}+7q^{80}+7q^{78}-7q^{76}-14q^{74}+18q^{70}+13q^{68}-11q^{66}-14q^{64}+7q^{62}+22q^{60}+5q^{58}-16q^{56}-11q^{54}+7q^{52}+7q^{50}-9q^{48}-14q^{46}+9q^{42}-2q^{40}-12q^{38}-q^{36}+14q^{34}+7q^{32}-10q^{30}-9q^{28}+12q^{26}+15q^{24}-5q^{22}-18q^{20}-q^{18}+18q^{16}+11q^{14}-11q^{12}-15q^{10}+2q^{8}+15q^{6}+6q^{4}-7q^{2}-8+q^{-2}+6q^{-4}+2q^{-6}-2q^{-8}-2q^{-10}+q^{-14}$

G2 Invariants.

Weight

Invariant

1,0

$q^{142}-q^{140}+3q^{138}-5q^{136}+4q^{134}-5q^{132}-q^{130}+9q^{128}-18q^{126}+27q^{124}-29q^{122}+20q^{120}+3q^{118}-30q^{116}+57q^{114}-75q^{112}+68q^{110}-34q^{108}-17q^{106}+69q^{104}-100q^{102}+106q^{100}-58q^{98}+7q^{96}+44q^{94}-85q^{92}+83q^{90}-41q^{88}-16q^{86}+55q^{84}-70q^{82}+48q^{80}+10q^{78}-72q^{76}+98q^{74}-107q^{72}+67q^{70}-3q^{68}-85q^{66}+135q^{64}-145q^{62}+115q^{60}-41q^{58}-41q^{56}+98q^{54}-119q^{52}+99q^{50}-45q^{48}-17q^{46}+65q^{44}-65q^{42}+38q^{40}+19q^{38}-59q^{36}+75q^{34}-56q^{32}+10q^{30}+39q^{28}-80q^{26}+98q^{24}-78q^{22}+42q^{20}+9q^{18}-48q^{16}+66q^{14}-66q^{12}+51q^{10}-26q^{8}-q^{6}+19q^{4}-29q^{2}+28-19q^{-2}+12q^{-4}-2q^{-6}-3q^{-8}+5q^{-10}-6q^{-12}+4q^{-14}-2q^{-16}+q^{-18}$