10 107 Quantum Invariants

Further quantum knot invariants for 10_107.

A1 Invariants.

Weight	Invariant
1	$-q^{11}+3q^{9}-4q^{7}+4q^{5}-3q^{3}+q+2q^{-1}-2q^{-3}+5q^{-5}-4q^{-7}+2q^{-9}-q^{-11}$
2	$q^{32}-3q^{30}+11q^{26}-13q^{24}-11q^{22}+34q^{20}-13q^{18}-36q^{16}+44q^{14}+6q^{12}-46q^{10}+26q^{8}+22q^{6}-29q^{4}-6q^{2}+24+4q^{-2}-34q^{-4}+15q^{-6}+36q^{-8}-43q^{-10}-5q^{-12}+47q^{-14}-27q^{-16}-19q^{-18}+28q^{-20}-5q^{-22}-11q^{-24}+7q^{-26}-2q^{-30}+q^{-32}$
3	$-q^{63}+3q^{61}-7q^{57}-2q^{55}+17q^{53}+14q^{51}-40q^{49}-38q^{47}+59q^{45}+92q^{43}-62q^{41}-174q^{39}+34q^{37}+257q^{35}+44q^{33}-315q^{31}-159q^{29}+327q^{27}+272q^{25}-281q^{23}-358q^{21}+188q^{19}+399q^{17}-82q^{15}-384q^{13}-18q^{11}+328q^{9}+115q^{7}-253q^{5}-188q^{3}+159q+257q^{-1}-64q^{-3}-308q^{-5}-47q^{-7}+342q^{-9}+162q^{-11}-341q^{-13}-267q^{-15}+293q^{-17}+351q^{-19}-201q^{-21}-384q^{-23}+85q^{-25}+365q^{-27}+11q^{-29}-282q^{-31}-86q^{-33}+188q^{-35}+104q^{-37}-100q^{-39}-83q^{-41}+37q^{-43}+52q^{-45}-10q^{-47}-26q^{-49}+3q^{-51}+10q^{-53}-q^{-55}-3q^{-57}+2q^{-61}-q^{-63}$

A2 Invariants.

Weight	Invariant
1,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^{16}+q^{14}+2 q^{12}-3 q^{10}+2 q^8-q^6-2 q^4+3 q^2-2+4 q^{-2} - q^{-4} + q^{-6} +3 q^{-8} -3 q^{-10} + q^{-12} - q^{-16} }
2,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{42}-q^{40}-3 q^{38}+q^{36}+7 q^{34}+2 q^{32}-13 q^{30}-5 q^{28}+17 q^{26}+5 q^{24}-20 q^{22}-6 q^{20}+22 q^{18}+8 q^{16}-24 q^{14}+q^{12}+21 q^{10}-6 q^8-11 q^6+5 q^4+3 q^2-10+6 q^{-2} +8 q^{-4} -13 q^{-6} -3 q^{-8} +24 q^{-10} +5 q^{-12} -26 q^{-14} +6 q^{-16} +22 q^{-18} -4 q^{-20} -20 q^{-22} +15 q^{-26} -3 q^{-28} -9 q^{-30} + q^{-32} +4 q^{-34} -2 q^{-38} + q^{-42} }

A3 Invariants.

Weight	Invariant
0,1,0	Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle q^{34}-3 q^{32}+q^{30}+7 q^{28}-13 q^{26}+4 q^{24}+19 q^{22}-28 q^{20}+6 q^{18}+28 q^{16}-36 q^{14}+4 q^{12}+28 q^{10}-24 q^8-4 q^6+16 q^4-q^2-9-4 q^{-2} +21 q^{-4} -4 q^{-6} -23 q^{-8} +34 q^{-10} +2 q^{-12} -33 q^{-14} +30 q^{-16} -25 q^{-20} +16 q^{-22} + q^{-24} -10 q^{-26} +5 q^{-28} + q^{-30} -2 q^{-32} + q^{-34} }
1,0,0	$-q^{21}+q^{19}+2q^{15}-3q^{13}+3q^{11}-3q^{9}+q^{7}-2q^{5}+2q^{3}+3q^{-3}-q^{-5}+3q^{-7}-q^{-9}+4q^{-11}-3q^{-13}+q^{-15}-q^{-17}-q^{-21}$

B2 Invariants.

Weight	Invariant
0,1	$-q^{34}+3q^{32}-7q^{30}+13q^{28}-21q^{26}+30q^{24}-37q^{22}+42q^{20}-42q^{18}+36q^{16}-24q^{14}+8q^{12}+12q^{10}-34q^{8}+54q^{6}-70q^{4}+79q^{2}-81+74q^{-2}-59q^{-4}+42q^{-6}-19q^{-8}+20q^{-12}-31q^{-14}+40q^{-16}-42q^{-18}+39q^{-20}-32q^{-22}+23q^{-24}-16q^{-26}+9q^{-28}-5q^{-30}+2q^{-32}-q^{-34}$
1,0	$q^{56}-3q^{52}-3q^{50}+4q^{48}+10q^{46}-17q^{42}-12q^{40}+18q^{38}+28q^{36}-6q^{34}-39q^{32}-15q^{30}+37q^{28}+34q^{26}-22q^{24}-44q^{22}+q^{20}+42q^{18}+15q^{16}-32q^{14}-22q^{12}+22q^{10}+25q^{8}-14q^{6}-27q^{4}+7q^{2}+29-q^{-2}-30q^{-4}-5q^{-6}+31q^{-8}+17q^{-10}-29q^{-12}-27q^{-14}+24q^{-16}+43q^{-18}-7q^{-20}-45q^{-22}-14q^{-24}+37q^{-26}+30q^{-28}-19q^{-30}-35q^{-32}-2q^{-34}+24q^{-36}+12q^{-38}-10q^{-40}-13q^{-42}+7q^{-46}+3q^{-48}-2q^{-50}-2q^{-52}+q^{-56}$

G2 Invariants.

Weight

Invariant

1,0

$q^{80}-3q^{78}+7q^{76}-13q^{74}+15q^{72}-14q^{70}+3q^{68}+22q^{66}-52q^{64}+86q^{62}-103q^{60}+81q^{58}-21q^{56}-81q^{54}+193q^{52}-265q^{50}+263q^{48}-160q^{46}-20q^{44}+222q^{42}-364q^{40}+386q^{38}-262q^{36}+37q^{34}+184q^{32}-320q^{30}+303q^{28}-144q^{26}-75q^{24}+258q^{22}-309q^{20}+196q^{18}+30q^{16}-286q^{14}+447q^{12}-447q^{10}+279q^{8}-290q^{4}+500q^{2}-540+409q^{-2}-151q^{-4}-144q^{-6}+361q^{-8}-422q^{-10}+318q^{-12}-95q^{-14}-130q^{-16}+276q^{-18}-268q^{-20}+115q^{-22}+106q^{-24}-293q^{-26}+355q^{-28}-262q^{-30}+54q^{-32}+177q^{-34}-333q^{-36}+372q^{-38}-279q^{-40}+115q^{-42}+54q^{-44}-183q^{-46}+223q^{-48}-191q^{-50}+117q^{-52}-32q^{-54}-29q^{-56}+60q^{-58}-67q^{-60}+53q^{-62}-33q^{-64}+13q^{-66}+q^{-68}-9q^{-70}+9q^{-72}-8q^{-74}+5q^{-76}-2q^{-78}+q^{-80}$