10 108 Quantum Invariants

Further quantum knot invariants for 10_108.

A1 Invariants.

Weight	Invariant
1	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^9+2 q^7-2 q^5+3 q^3-q+ q^{-1} -2 q^{-5} +3 q^{-7} -2 q^{-9} +2 q^{-11} - q^{-13} }
2	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^{28}-2 q^{26}-3 q^{24}+7 q^{22}+q^{20}-12 q^{18}+7 q^{16}+11 q^{14}-14 q^{12}-q^{10}+15 q^8-8 q^6-9 q^4+12 q^2+1-11 q^{-2} +4 q^{-4} +10 q^{-6} -7 q^{-8} -7 q^{-10} +13 q^{-12} +2 q^{-14} -15 q^{-16} +7 q^{-18} +8 q^{-20} -11 q^{-22} +3 q^{-24} +4 q^{-26} -5 q^{-28} +3 q^{-30} -2 q^{-34} + q^{-36} }
3	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^{57}+2 q^{55}+3 q^{53}-2 q^{51}-10 q^{49}-4 q^{47}+18 q^{45}+17 q^{43}-16 q^{41}-37 q^{39}+q^{37}+50 q^{35}+26 q^{33}-46 q^{31}-54 q^{29}+24 q^{27}+74 q^{25}+7 q^{23}-71 q^{21}-42 q^{19}+56 q^{17}+64 q^{15}-33 q^{13}-74 q^{11}+8 q^9+74 q^7+13 q^5-70 q^3-26 q+68 q^{-1} +38 q^{-3} -58 q^{-5} -51 q^{-7} +50 q^{-9} +62 q^{-11} -30 q^{-13} -73 q^{-15} +69 q^{-19} +36 q^{-21} -51 q^{-23} -69 q^{-25} +25 q^{-27} +82 q^{-29} +10 q^{-31} -76 q^{-33} -33 q^{-35} +56 q^{-37} +39 q^{-39} -31 q^{-41} -31 q^{-43} +12 q^{-45} +17 q^{-47} -3 q^{-49} -8 q^{-51} +2 q^{-53} +2 q^{-57} - q^{-61} - q^{-63} +2 q^{-67} - q^{-69} }
4	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^{96}-2 q^{94}-3 q^{92}+2 q^{90}+5 q^{88}+13 q^{86}-3 q^{84}-23 q^{82}-24 q^{80}-9 q^{78}+55 q^{76}+60 q^{74}+7 q^{72}-71 q^{70}-131 q^{68}-17 q^{66}+112 q^{64}+179 q^{62}+81 q^{60}-177 q^{58}-240 q^{56}-119 q^{54}+180 q^{52}+358 q^{50}+134 q^{48}-188 q^{46}-425 q^{44}-215 q^{42}+262 q^{40}+454 q^{38}+265 q^{36}-288 q^{34}-548 q^{32}-222 q^{30}+304 q^{28}+596 q^{26}+194 q^{24}-407 q^{22}-555 q^{20}-131 q^{18}+493 q^{16}+510 q^{14}-40 q^{12}-514 q^{10}-390 q^8+218 q^6+505 q^4+167 q^2-353-402 q^{-2} +79 q^{-4} +433 q^{-6} +199 q^{-8} -302 q^{-10} -397 q^{-12} +18 q^{-14} +442 q^{-16} +306 q^{-18} -215 q^{-20} -473 q^{-22} -228 q^{-24} +326 q^{-26} +519 q^{-28} +156 q^{-30} -357 q^{-32} -592 q^{-34} -154 q^{-36} +466 q^{-38} +620 q^{-40} +147 q^{-42} -592 q^{-44} -648 q^{-46} - q^{-48} +631 q^{-50} +591 q^{-52} -165 q^{-54} -627 q^{-56} -363 q^{-58} +240 q^{-60} +520 q^{-62} +138 q^{-64} -266 q^{-66} -296 q^{-68} -22 q^{-70} +225 q^{-72} +117 q^{-74} -49 q^{-76} -106 q^{-78} -45 q^{-80} +62 q^{-82} +30 q^{-84} - q^{-86} -18 q^{-88} -18 q^{-90} +19 q^{-92} + q^{-94} -2 q^{-98} -6 q^{-100} +6 q^{-102} - q^{-104} + q^{-106} -2 q^{-110} + q^{-112} }

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^{12}+q^{10}+2 q^4-q^2+2- q^{-4} + q^{-6} -2 q^{-8} +2 q^{-10} + q^{-16} - q^{-18} }
1,1	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^{36}-4 q^{34}+14 q^{32}-38 q^{30}+74 q^{28}-132 q^{26}+196 q^{24}-256 q^{22}+308 q^{20}-318 q^{18}+286 q^{16}-204 q^{14}+95 q^{12}+44 q^{10}-196 q^8+322 q^6-425 q^4+492 q^2-524+502 q^{-2} -427 q^{-4} +330 q^{-6} -200 q^{-8} +74 q^{-10} +48 q^{-12} -134 q^{-14} +180 q^{-16} -198 q^{-18} +178 q^{-20} -152 q^{-22} +130 q^{-24} -104 q^{-26} +83 q^{-28} -70 q^{-30} +70 q^{-32} -64 q^{-34} +48 q^{-36} -42 q^{-38} +38 q^{-40} -28 q^{-42} +18 q^{-44} -12 q^{-46} +8 q^{-48} -4 q^{-50} + q^{-52} }
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^{34}-q^{32}-3 q^{30}+3 q^{26}+q^{24}-4 q^{22}-q^{20}+7 q^{18}+3 q^{16}-5 q^{14}+4 q^{10}+3 q^8-6 q^6-2 q^4+4 q^2-3- q^{-2} +2 q^{-4} -2 q^{-8} +5 q^{-10} +3 q^{-12} -4 q^{-14} - q^{-16} +7 q^{-18} +3 q^{-20} -10 q^{-22} + q^{-24} +6 q^{-26} -2 q^{-28} -4 q^{-30} +3 q^{-34} - q^{-38} + q^{-40} - q^{-42} - q^{-44} + q^{-46} }

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^{26}-2 q^{24}+2 q^{22}+q^{20}-6 q^{18}+6 q^{16}-2 q^{14}-6 q^{12}+9 q^{10}-2 q^8-5 q^6+10 q^4-q^2-6+8 q^{-2} + q^{-4} -4 q^{-6} + q^{-8} +3 q^{-10} +2 q^{-12} -8 q^{-14} +3 q^{-16} +6 q^{-18} -11 q^{-20} +3 q^{-22} +9 q^{-24} -9 q^{-26} +8 q^{-30} -5 q^{-32} -3 q^{-34} +5 q^{-36} - q^{-38} -2 q^{-40} + q^{-42} }
1,0,0	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^{15}+q^{13}-q^{11}+2 q^9-q^7+2 q^5-q^3+2 q+ q^{-3} - q^{-7} + q^{-9} -2 q^{-11} +2 q^{-13} - q^{-15} +2 q^{-17} - q^{-19} + q^{-21} - q^{-23} }

A4 Invariants.

Weight	Invariant
0,1,0,0	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^{32}-q^{30}+3 q^{26}-2 q^{24}-2 q^{22}+4 q^{20}-2 q^{18}-7 q^{16}+3 q^{14}+3 q^{12}-6 q^{10}-3 q^8+12 q^6+5 q^4-9 q^2+6+15 q^{-2} -7 q^{-4} -7 q^{-6} +11 q^{-8} - q^{-10} -9 q^{-12} +2 q^{-14} +5 q^{-16} -6 q^{-18} -5 q^{-20} +8 q^{-22} + q^{-24} -9 q^{-26} +3 q^{-28} +9 q^{-30} -5 q^{-32} -4 q^{-34} +5 q^{-36} +3 q^{-38} -3 q^{-40} -3 q^{-42} +2 q^{-44} +2 q^{-46} -2 q^{-48} - q^{-50} + q^{-52} }
1,0,0,0	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^{18}+q^{16}-q^{14}+q^{12}+q^{10}-q^8+2 q^6-q^4+2 q^2+ q^{-2} + q^{-4} - q^{-10} + q^{-12} -2 q^{-14} +2 q^{-16} - q^{-18} + q^{-20} + q^{-22} - q^{-24} + q^{-26} - q^{-28} }

B2 Invariants.

Weight	Invariant
0,1	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^{26}+2 q^{24}-6 q^{22}+9 q^{20}-12 q^{18}+16 q^{16}-16 q^{14}+18 q^{12}-15 q^{10}+12 q^8-5 q^6-2 q^4+11 q^2-20+26 q^{-2} -31 q^{-4} +32 q^{-6} -31 q^{-8} +27 q^{-10} -20 q^{-12} +14 q^{-14} -5 q^{-16} -2 q^{-18} +9 q^{-20} -13 q^{-22} +15 q^{-24} -15 q^{-26} +14 q^{-28} -12 q^{-30} +9 q^{-32} -7 q^{-34} +5 q^{-36} -3 q^{-38} +2 q^{-40} - q^{-42} }
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^{44}-2 q^{40}-2 q^{38}+4 q^{36}+5 q^{34}-5 q^{32}-9 q^{30}+q^{28}+13 q^{26}+4 q^{24}-14 q^{22}-11 q^{20}+11 q^{18}+17 q^{16}-2 q^{14}-18 q^{12}-5 q^{10}+15 q^8+13 q^6-8 q^4-14 q^2+2+12 q^{-2} +2 q^{-4} -10 q^{-6} -3 q^{-8} +10 q^{-10} +5 q^{-12} -10 q^{-14} -7 q^{-16} +10 q^{-18} +12 q^{-20} -6 q^{-22} -15 q^{-24} + q^{-26} +15 q^{-28} +4 q^{-30} -14 q^{-32} -10 q^{-34} +8 q^{-36} +14 q^{-38} - q^{-40} -12 q^{-42} -6 q^{-44} +7 q^{-46} +10 q^{-48} -7 q^{-52} -5 q^{-54} +2 q^{-56} +5 q^{-58} + q^{-60} -2 q^{-62} -2 q^{-64} + q^{-68} }

D4 Invariants.

Weight

Invariant

1,0,0,0

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}-2 q^{32}+4 q^{30}-6 q^{28}+9 q^{26}-11 q^{24}+11 q^{22}-14 q^{20}+15 q^{18}-15 q^{16}+11 q^{14}-10 q^{12}+9 q^{10}-3 q^8-q^6+7 q^4-8 q^2+18-18 q^{-2} +23 q^{-4} -23 q^{-6} +26 q^{-8} -25 q^{-10} +23 q^{-12} -21 q^{-14} +16 q^{-16} -14 q^{-18} +8 q^{-20} -4 q^{-22} - q^{-24} +5 q^{-26} -8 q^{-28} +10 q^{-30} -10 q^{-32} +13 q^{-34} -12 q^{-36} +9 q^{-38} -9 q^{-40} +10 q^{-42} -7 q^{-44} +4 q^{-46} -5 q^{-48} +5 q^{-50} -2 q^{-52} + q^{-54} -2 q^{-56} + q^{-58} }

G2 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^{60}-2 q^{58}+6 q^{56}-11 q^{54}+13 q^{52}-12 q^{50}-2 q^{48}+25 q^{46}-46 q^{44}+58 q^{42}-47 q^{40}+11 q^{38}+36 q^{36}-81 q^{34}+98 q^{32}-77 q^{30}+24 q^{28}+37 q^{26}-81 q^{24}+89 q^{22}-54 q^{20}+3 q^{18}+48 q^{16}-68 q^{14}+53 q^{12}-11 q^{10}-39 q^8+74 q^6-77 q^4+59 q^2-12-42 q^{-2} +88 q^{-4} -108 q^{-6} +93 q^{-8} -49 q^{-10} -18 q^{-12} +74 q^{-14} -102 q^{-16} +93 q^{-18} -49 q^{-20} -10 q^{-22} +61 q^{-24} -75 q^{-26} +47 q^{-28} - q^{-30} -45 q^{-32} +67 q^{-34} -50 q^{-36} +12 q^{-38} +31 q^{-40} -57 q^{-42} +63 q^{-44} -46 q^{-46} +16 q^{-48} +13 q^{-50} -36 q^{-52} +41 q^{-54} -36 q^{-56} +27 q^{-58} -12 q^{-60} +2 q^{-62} +9 q^{-64} -21 q^{-66} +24 q^{-68} -23 q^{-70} +16 q^{-72} -7 q^{-74} +7 q^{-78} -12 q^{-80} +13 q^{-82} -10 q^{-84} +7 q^{-86} -2 q^{-88} - q^{-90} +2 q^{-92} -4 q^{-94} +3 q^{-96} -2 q^{-98} + q^{-100} }