9 45 Quantum Invariants

Further quantum knot invariants for 9_45.

A1 Invariants.

Weight	Invariant
1	$-q^{17}+q^{15}-q^{13}+q^{11}+q^{5}-q^{3}+2q$
2	$q^{48}-q^{46}-2q^{44}+3q^{42}+q^{40}-4q^{38}+2q^{36}+3q^{34}-4q^{32}-q^{30}+3q^{28}-2q^{26}-2q^{24}+2q^{22}+q^{20}-2q^{18}-q^{16}+5q^{14}-q^{12}-3q^{10}+5q^{8}-3q^{4}+2q^{2}+1$
3	$-q^{93}+q^{91}+2q^{89}-4q^{85}-3q^{83}+5q^{81}+6q^{79}-3q^{77}-9q^{75}-q^{73}+11q^{71}+6q^{69}-9q^{67}-10q^{65}+5q^{63}+13q^{61}-3q^{59}-13q^{57}-q^{55}+13q^{53}+4q^{51}-11q^{49}-4q^{47}+9q^{45}+4q^{43}-7q^{41}-7q^{39}+2q^{37}+7q^{35}+q^{33}-9q^{31}-6q^{29}+9q^{27}+12q^{25}-6q^{23}-14q^{21}+4q^{19}+15q^{17}-10q^{13}-3q^{11}+8q^{9}+4q^{7}-4q^{5}-q^{3}+2q^{-1}$
4	$q^{152}-q^{150}-2q^{148}+q^{144}+6q^{142}+q^{140}-5q^{138}-7q^{136}-7q^{134}+11q^{132}+13q^{130}+5q^{128}-9q^{126}-25q^{124}-5q^{122}+14q^{120}+28q^{118}+16q^{116}-26q^{114}-32q^{112}-15q^{110}+27q^{108}+45q^{106}+4q^{104}-33q^{102}-46q^{100}+49q^{96}+34q^{94}-12q^{92}-51q^{90}-23q^{88}+33q^{86}+42q^{84}+4q^{82}-40q^{80}-26q^{78}+18q^{76}+34q^{74}+7q^{72}-27q^{70}-23q^{68}+6q^{66}+27q^{64}+11q^{62}-13q^{60}-23q^{58}-12q^{56}+17q^{54}+25q^{52}+15q^{50}-23q^{48}-42q^{46}-5q^{44}+33q^{42}+48q^{40}-4q^{38}-57q^{36}-35q^{34}+17q^{32}+61q^{30}+25q^{28}-37q^{26}-40q^{24}-11q^{22}+36q^{20}+31q^{18}-6q^{16}-19q^{14}-16q^{12}+7q^{10}+12q^{8}+3q^{6}-q^{4}-5q^{2}-1+2q^{-2}+q^{-4}$
5	$-q^{225}+q^{223}+2q^{221}-q^{217}-3q^{215}-4q^{213}-q^{211}+7q^{209}+9q^{207}+5q^{205}-3q^{203}-14q^{201}-18q^{199}-7q^{197}+16q^{195}+28q^{193}+24q^{191}+q^{189}-32q^{187}-48q^{185}-30q^{183}+17q^{181}+59q^{179}+67q^{177}+25q^{175}-47q^{173}-97q^{171}-77q^{169}+8q^{167}+96q^{165}+125q^{163}+56q^{161}-67q^{159}-151q^{157}-122q^{155}+12q^{153}+144q^{151}+170q^{149}+58q^{147}-109q^{145}-196q^{143}-116q^{141}+61q^{139}+187q^{137}+159q^{135}-9q^{133}-165q^{131}-175q^{129}-31q^{127}+133q^{125}+168q^{123}+56q^{121}-102q^{119}-153q^{117}-61q^{115}+76q^{113}+131q^{111}+57q^{109}-59q^{107}-108q^{105}-49q^{103}+50q^{101}+92q^{99}+44q^{97}-39q^{95}-78q^{93}-47q^{91}+22q^{89}+72q^{87}+63q^{85}+4q^{83}-63q^{81}-87q^{79}-47q^{77}+41q^{75}+112q^{73}+98q^{71}-9q^{69}-128q^{67}-155q^{65}-44q^{63}+121q^{61}+202q^{59}+108q^{57}-94q^{55}-222q^{53}-164q^{51}+41q^{49}+209q^{47}+200q^{45}+22q^{43}-170q^{41}-199q^{39}-67q^{37}+101q^{35}+170q^{33}+94q^{31}-42q^{29}-119q^{27}-85q^{25}+q^{23}+64q^{21}+64q^{19}+21q^{17}-25q^{15}-38q^{13}-13q^{11}+4q^{9}+13q^{7}+13q^{5}-6q-3q^{-1}+2q^{-7}$

A2 Invariants.

Weight	Invariant
1,0	$-q^{26}-q^{24}+q^{22}+q^{18}+q^{16}-q^{14}-q^{10}+q^{8}+q^{6}+2q^{2}$
1,1	$q^{68}-2q^{66}+6q^{64}-12q^{62}+17q^{60}-24q^{58}+30q^{56}-30q^{54}+25q^{52}-18q^{50}+6q^{48}+12q^{46}-27q^{44}+38q^{42}-48q^{40}+52q^{38}-54q^{36}+44q^{34}-36q^{32}+22q^{30}-6q^{28}-6q^{26}+20q^{24}-26q^{22}+31q^{20}-28q^{18}+22q^{16}-16q^{14}+13q^{12}-4q^{10}+2q^{8}+2q^{4}+2q^{2}$
2,0	$q^{66}+q^{64}-3q^{60}-2q^{58}+q^{56}+2q^{54}+3q^{48}+2q^{46}-2q^{44}-4q^{42}-q^{40}-2q^{38}-2q^{36}-q^{34}+2q^{32}+2q^{30}+q^{28}+2q^{26}-q^{24}-q^{22}+2q^{20}+2q^{18}-2q^{16}-q^{14}+3q^{12}+2q^{10}-q^{8}-q^{6}+3q^{4}+q^{2}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{54}-q^{52}+q^{50}+q^{48}-3q^{46}+q^{44}-q^{42}-4q^{40}+2q^{38}+q^{36}-2q^{34}+2q^{32}+2q^{30}+q^{22}-2q^{20}-2q^{18}+3q^{16}-2q^{14}+5q^{10}+3q^{4}$
1,0,0	$-q^{35}-q^{33}-q^{31}+q^{29}+2q^{25}+q^{23}+q^{21}-q^{19}-q^{17}-q^{15}-q^{13}+q^{11}+q^{9}+2q^{7}+2q^{3}$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{72}+q^{70}+q^{64}-q^{62}-4q^{60}-2q^{58}+q^{56}-2q^{54}-3q^{52}+3q^{50}+4q^{48}-q^{46}-q^{44}+2q^{42}-q^{40}-3q^{38}+q^{36}+3q^{34}-q^{32}+q^{30}+4q^{28}-2q^{26}-4q^{24}+q^{20}-2q^{18}+5q^{14}+4q^{12}+q^{10}+q^{8}+3q^{6}$
1,0,0,0	$-q^{44}-q^{42}-q^{40}-q^{38}+q^{36}+2q^{32}+2q^{30}+q^{28}+q^{26}-q^{24}-q^{22}-2q^{20}-q^{18}-q^{16}+q^{14}+q^{12}+2q^{10}+2q^{8}+2q^{4}$

B2 Invariants.

Weight	Invariant
0,1	$-q^{54}+q^{52}-3q^{50}+3q^{48}-3q^{46}+3q^{44}-3q^{42}+2q^{40}-q^{36}+4q^{34}-4q^{32}+6q^{30}-6q^{28}+6q^{26}-6q^{24}+3q^{22}-2q^{20}+q^{16}-2q^{14}+4q^{12}-3q^{10}+4q^{8}-2q^{6}+3q^{4}$
1,0	$q^{88}-q^{84}-q^{82}+2q^{80}+2q^{78}-2q^{76}-3q^{74}+3q^{70}+q^{68}-4q^{66}-3q^{64}+2q^{62}+3q^{60}-3q^{56}+2q^{52}+q^{50}-2q^{48}-q^{46}+2q^{44}+2q^{42}-q^{40}-3q^{38}+q^{36}+3q^{34}-3q^{30}-q^{28}+3q^{26}+2q^{24}-2q^{22}-3q^{20}+2q^{18}+4q^{16}+q^{14}-2q^{12}-q^{10}+q^{8}+3q^{6}$

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{74}-q^{72}+2q^{70}-2q^{68}+3q^{66}-3q^{64}+q^{62}-4q^{60}+q^{58}-3q^{56}-q^{54}-q^{50}+3q^{48}-2q^{46}+6q^{44}-2q^{42}+6q^{40}-4q^{38}+5q^{36}-4q^{34}+3q^{32}-4q^{30}-q^{28}-2q^{26}-q^{24}+q^{22}-2q^{20}+3q^{18}-q^{16}+6q^{14}+3q^{10}-q^{8}+3q^{6}$

G2 Invariants.

Weight

Invariant

1,0

$q^{128}-q^{126}+3q^{124}-4q^{122}+2q^{120}-5q^{116}+9q^{114}-10q^{112}+8q^{110}-3q^{108}-7q^{106}+10q^{104}-12q^{102}+8q^{100}-3q^{98}-6q^{96}+9q^{94}-7q^{92}+2q^{90}+6q^{88}-9q^{86}+10q^{84}-4q^{82}-2q^{80}+9q^{78}-12q^{76}+15q^{74}-9q^{72}+3q^{70}+7q^{68}-12q^{66}+14q^{64}-12q^{62}+5q^{60}+2q^{58}-9q^{56}+9q^{54}-8q^{52}+q^{50}+6q^{48}-10q^{46}+6q^{44}-q^{42}-7q^{40}+11q^{38}-11q^{36}+8q^{34}-5q^{30}+9q^{28}-8q^{26}+8q^{24}-q^{22}-q^{20}+2q^{18}-2q^{16}+3q^{14}-q^{12}+2q^{10}+q^{8}$