10 25 Quantum Invariants

Further quantum knot invariants for 10_25.

A1 Invariants.

Weight	Invariant
1	$q^{21}-2q^{19}+3q^{17}-3q^{15}+q^{13}-q^{11}-q^{9}+3q^{7}-2q^{5}+3q^{3}-q+q^{-1}$
2	$q^{58}-2q^{56}+6q^{52}-8q^{50}-3q^{48}+16q^{46}-13q^{44}-9q^{42}+23q^{40}-9q^{38}-12q^{36}+16q^{34}+q^{32}-11q^{30}+11q^{26}-3q^{24}-15q^{22}+13q^{20}+7q^{18}-22q^{16}+9q^{14}+14q^{12}-16q^{10}+2q^{8}+12q^{6}-7q^{4}-2q^{2}+5-q^{-2}-q^{-4}+q^{-6}$
3	$q^{111}-2q^{109}+3q^{105}+q^{103}-7q^{101}-4q^{99}+15q^{97}+6q^{95}-24q^{93}-12q^{91}+36q^{89}+25q^{87}-51q^{85}-41q^{83}+63q^{81}+59q^{79}-63q^{77}-81q^{75}+59q^{73}+92q^{71}-41q^{69}-98q^{67}+17q^{65}+88q^{63}+11q^{61}-69q^{59}-39q^{57}+47q^{55}+58q^{53}-17q^{51}-74q^{49}-7q^{47}+80q^{45}+37q^{43}-84q^{41}-55q^{39}+73q^{37}+76q^{35}-61q^{33}-92q^{31}+39q^{29}+96q^{27}-15q^{25}-92q^{23}-7q^{21}+78q^{19}+25q^{17}-57q^{15}-32q^{13}+35q^{11}+34q^{9}-17q^{7}-24q^{5}+4q^{3}+17q+q^{-1}-8q^{-3}-2q^{-5}+4q^{-7}+q^{-9}-q^{-11}-q^{-13}+q^{-15}$
4	$q^{180}-2q^{178}+3q^{174}-2q^{172}+2q^{170}-8q^{168}+q^{166}+14q^{164}-5q^{162}+2q^{160}-27q^{158}+4q^{156}+48q^{154}-5q^{152}-16q^{150}-80q^{148}+12q^{146}+132q^{144}+31q^{142}-58q^{140}-214q^{138}-19q^{136}+277q^{134}+169q^{132}-74q^{130}-425q^{128}-161q^{126}+378q^{124}+396q^{122}+45q^{120}-563q^{118}-398q^{116}+284q^{114}+543q^{112}+275q^{110}-455q^{108}-536q^{106}+8q^{104}+438q^{102}+440q^{100}-141q^{98}-444q^{96}-258q^{94}+152q^{92}+424q^{90}+181q^{88}-209q^{86}-402q^{84}-128q^{82}+303q^{80}+401q^{78}+15q^{76}-444q^{74}-324q^{72}+154q^{70}+535q^{68}+210q^{66}-420q^{64}-465q^{62}-30q^{60}+569q^{58}+398q^{56}-274q^{54}-525q^{52}-274q^{50}+437q^{48}+524q^{46}-6q^{44}-420q^{42}-462q^{40}+155q^{38}+461q^{36}+234q^{34}-158q^{32}-444q^{30}-101q^{28}+226q^{26}+273q^{24}+77q^{22}-242q^{20}-167q^{18}+8q^{16}+143q^{14}+133q^{12}-56q^{10}-85q^{8}-55q^{6}+24q^{4}+70q^{2}+7-13q^{-2}-29q^{-4}-8q^{-6}+19q^{-8}+4q^{-10}+3q^{-12}-6q^{-14}-4q^{-16}+4q^{-18}+q^{-22}-q^{-24}-q^{-26}+q^{-28}$
5	$q^{265}-2q^{263}+3q^{259}-2q^{257}-q^{255}+q^{253}-3q^{251}+9q^{247}+q^{245}-9q^{243}-5q^{241}-2q^{239}+10q^{237}+17q^{235}+3q^{233}-31q^{231}-40q^{229}+14q^{227}+69q^{225}+71q^{223}-18q^{221}-142q^{219}-164q^{217}+19q^{215}+280q^{213}+320q^{211}+11q^{209}-450q^{207}-597q^{205}-139q^{203}+653q^{201}+1023q^{199}+400q^{197}-825q^{195}-1544q^{193}-867q^{191}+858q^{189}+2109q^{187}+1539q^{185}-673q^{183}-2601q^{181}-2306q^{179}+210q^{177}+2815q^{175}+3087q^{173}+517q^{171}-2721q^{169}-3641q^{167}-1339q^{165}+2193q^{163}+3855q^{161}+2144q^{159}-1401q^{157}-3640q^{155}-2706q^{153}+442q^{151}+3028q^{149}+2958q^{147}+489q^{145}-2171q^{143}-2875q^{141}-1244q^{139}+1217q^{137}+2528q^{135}+1785q^{133}-315q^{131}-2073q^{129}-2095q^{127}-440q^{125}+1587q^{123}+2299q^{121}+1016q^{119}-1182q^{117}-2406q^{115}-1502q^{113}+859q^{111}+2547q^{109}+1892q^{107}-592q^{105}-2641q^{103}-2317q^{101}+274q^{99}+2763q^{97}+2727q^{95}+111q^{93}-2719q^{91}-3143q^{89}-670q^{87}+2525q^{85}+3474q^{83}+1302q^{81}-2047q^{79}-3605q^{77}-1997q^{75}+1329q^{73}+3462q^{71}+2597q^{69}-442q^{67}-2983q^{65}-2948q^{63}-500q^{61}+2212q^{59}+2971q^{57}+1292q^{55}-1276q^{53}-2621q^{51}-1795q^{49}+335q^{47}+1982q^{45}+1931q^{43}+421q^{41}-1216q^{39}-1722q^{37}-864q^{35}+491q^{33}+1269q^{31}+1004q^{29}+48q^{27}-772q^{25}-865q^{23}-327q^{21}+319q^{19}+611q^{17}+408q^{15}-44q^{13}-341q^{11}-327q^{9}-96q^{7}+139q^{5}+214q^{3}+117q-26q^{-1}-106q^{-3}-91q^{-5}-14q^{-7}+41q^{-9}+47q^{-11}+25q^{-13}-10q^{-15}-25q^{-17}-12q^{-19}+3q^{-21}+4q^{-23}+7q^{-25}+3q^{-27}-5q^{-29}-2q^{-31}+2q^{-33}+q^{-39}-q^{-41}-q^{-43}+q^{-45}$

A2 Invariants.

Weight	Invariant
1,0	$q^{30}-q^{28}+q^{26}+q^{24}-2q^{22}+q^{20}-3q^{18}-q^{12}+3q^{10}-q^{8}+2q^{6}+q^{4}+1$
1,1	$q^{84}-4q^{82}+10q^{80}-20q^{78}+40q^{76}-72q^{74}+112q^{72}-164q^{70}+233q^{68}-306q^{66}+364q^{64}-412q^{62}+439q^{60}-418q^{58}+342q^{56}-218q^{54}+53q^{52}+150q^{50}-372q^{48}+578q^{46}-749q^{44}+866q^{42}-906q^{40}+876q^{38}-769q^{36}+610q^{34}-402q^{32}+176q^{30}+25q^{28}-210q^{26}+346q^{24}-436q^{22}+456q^{20}-436q^{18}+390q^{16}-314q^{14}+237q^{12}-162q^{10}+110q^{8}-62q^{6}+35q^{4}-16q^{2}+8-2q^{-2}+q^{-4}$
2,0	$q^{76}-q^{74}+2q^{70}-3q^{66}-q^{64}+4q^{62}-2q^{60}-7q^{58}+3q^{56}+7q^{54}-6q^{52}-4q^{50}+9q^{48}+6q^{46}-7q^{44}-q^{42}+8q^{40}-3q^{38}-6q^{36}+6q^{34}+q^{32}-9q^{30}+q^{28}+4q^{26}-7q^{24}-7q^{22}+7q^{20}+5q^{18}-6q^{16}+9q^{12}+q^{10}-4q^{8}+q^{6}+4q^{4}+q^{2}-1+q^{-4}$

A3 Invariants.

Weight	Invariant
0,1,0	$q^{68}-2q^{66}+5q^{62}-7q^{60}-2q^{58}+13q^{56}-11q^{54}-6q^{52}+18q^{50}-10q^{48}-8q^{46}+16q^{44}-2q^{42}-6q^{40}+7q^{38}+4q^{36}-4q^{34}-10q^{32}+6q^{30}+2q^{28}-18q^{26}+8q^{24}+9q^{22}-16q^{20}+6q^{18}+9q^{16}-10q^{14}+6q^{12}+6q^{10}-3q^{8}+3q^{6}+2q^{4}-q^{2}+1$
1,0,0	$q^{39}-q^{37}+2q^{35}-q^{33}+2q^{31}-2q^{29}+q^{27}-3q^{25}-q^{23}-q^{21}-q^{19}+q^{17}-q^{15}+3q^{13}-q^{11}+3q^{9}+2q^{5}+q$

A4 Invariants.

Weight	Invariant
0,1,0,0	$q^{86}-q^{84}-2q^{82}+4q^{80}+2q^{78}-7q^{76}-q^{74}+8q^{72}-2q^{70}-11q^{68}+3q^{66}+9q^{64}-7q^{62}-7q^{60}+13q^{58}+5q^{56}-9q^{54}+9q^{52}+12q^{50}-6q^{48}-4q^{46}+10q^{44}-5q^{42}-17q^{40}-q^{38}+6q^{36}-12q^{34}-10q^{32}+10q^{30}+2q^{28}-8q^{26}+q^{24}+7q^{22}+5q^{16}+5q^{14}+q^{12}+2q^{10}+3q^{8}+q^{6}+q^{2}$
1,0,0,0	$q^{48}-q^{46}+2q^{44}+2q^{38}-2q^{36}+q^{34}-3q^{32}-q^{30}-2q^{28}-q^{26}-q^{24}+q^{20}-q^{18}+3q^{16}-q^{14}+3q^{12}+q^{10}+q^{8}+2q^{6}+q^{2}$

B2 Invariants.

Weight	Invariant
0,1	$q^{68}-2q^{66}+4q^{64}-7q^{62}+11q^{60}-14q^{58}+17q^{56}-19q^{54}+18q^{52}-16q^{50}+10q^{48}-2q^{46}-6q^{44}+16q^{42}-24q^{40}+31q^{38}-36q^{36}+36q^{34}-34q^{32}+26q^{30}-20q^{28}+10q^{26}-2q^{24}-7q^{22}+14q^{20}-16q^{18}+19q^{16}-16q^{14}+16q^{12}-12q^{10}+9q^{8}-5q^{6}+4q^{4}-q^{2}+1$
1,0	$q^{110}-2q^{106}-2q^{104}+2q^{102}+6q^{100}+q^{98}-9q^{96}-8q^{94}+6q^{92}+15q^{90}+2q^{88}-17q^{86}-12q^{84}+11q^{82}+19q^{80}-2q^{78}-19q^{76}-6q^{74}+15q^{72}+12q^{70}-9q^{68}-12q^{66}+6q^{64}+14q^{62}-13q^{58}-2q^{56}+11q^{54}+3q^{52}-13q^{50}-7q^{48}+10q^{46}+9q^{44}-11q^{42}-17q^{40}+4q^{38}+20q^{36}+5q^{34}-18q^{32}-14q^{30}+10q^{28}+19q^{26}-14q^{22}-7q^{20}+10q^{18}+10q^{16}-q^{14}-6q^{12}-q^{10}+4q^{8}+3q^{6}-q^{4}-q^{2}+q^{-2}$

D4 Invariants.

Weight	Invariant
1,0,0,0	$q^{94}-2q^{92}+2q^{90}-3q^{88}+6q^{86}-9q^{84}+8q^{82}-10q^{80}+15q^{78}-15q^{76}+12q^{74}-14q^{72}+15q^{70}-9q^{68}+4q^{66}-3q^{64}-q^{62}+12q^{60}-12q^{58}+18q^{56}-21q^{54}+28q^{52}-26q^{50}+26q^{48}-31q^{46}+22q^{44}-22q^{42}+14q^{40}-16q^{38}+5q^{36}-q^{34}-3q^{32}+6q^{30}-11q^{28}+14q^{26}-13q^{24}+14q^{22}-13q^{20}+15q^{18}-8q^{16}+11q^{14}-5q^{12}+7q^{10}-2q^{8}+3q^{6}-q^{4}+q^{2}$

G2 Invariants.

Weight

Invariant

1,0

$q^{162}-2q^{160}+4q^{158}-6q^{156}+5q^{154}-4q^{152}-2q^{150}+12q^{148}-22q^{146}+30q^{144}-32q^{142}+21q^{140}-q^{138}-26q^{136}+59q^{134}-76q^{132}+76q^{130}-52q^{128}+6q^{126}+43q^{124}-86q^{122}+106q^{120}-91q^{118}+48q^{116}+10q^{114}-58q^{112}+79q^{110}-61q^{108}+19q^{106}+31q^{104}-66q^{102}+63q^{100}-22q^{98}-40q^{96}+104q^{94}-132q^{92}+112q^{90}-47q^{88}-43q^{86}+119q^{84}-163q^{82}+151q^{80}-95q^{78}+10q^{76}+67q^{74}-116q^{72}+117q^{70}-77q^{68}+11q^{66}+41q^{64}-71q^{62}+59q^{60}-15q^{58}-38q^{56}+82q^{54}-89q^{52}+58q^{50}+q^{48}-65q^{46}+108q^{44}-111q^{42}+81q^{40}-27q^{38}-31q^{36}+73q^{34}-82q^{32}+71q^{30}-38q^{28}+5q^{26}+20q^{24}-32q^{22}+32q^{20}-22q^{18}+12q^{16}-4q^{12}+6q^{10}-5q^{8}+4q^{6}-q^{4}+q^{2}$