10 105 Quantum Invariants

Further quantum knot invariants for 10_105.

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^7-2 q^5+4 q^3-4 q+3 q^{-1} - q^{-3} +3 q^{-7} -4 q^{-9} +4 q^{-11} -3 q^{-13} + q^{-15} }
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^{22}-2 q^{20}-q^{18}+9 q^{16}-7 q^{14}-14 q^{12}+26 q^{10}+q^8-38 q^6+28 q^4+23 q^2-44+10 q^{-2} +33 q^{-4} -26 q^{-6} -12 q^{-8} +24 q^{-10} +5 q^{-12} -26 q^{-14} +2 q^{-16} +36 q^{-18} -27 q^{-20} -24 q^{-22} +46 q^{-24} -11 q^{-26} -31 q^{-28} +28 q^{-30} +2 q^{-32} -15 q^{-34} +8 q^{-36} + q^{-38} -3 q^{-40} + q^{-42} }
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^{45}-2 q^{43}-q^{41}+4 q^{39}+6 q^{37}-10 q^{35}-20 q^{33}+15 q^{31}+48 q^{29}-4 q^{27}-88 q^{25}-38 q^{23}+126 q^{21}+108 q^{19}-128 q^{17}-202 q^{15}+86 q^{13}+289 q^{11}-4 q^9-330 q^7-106 q^5+325 q^3+209 q-278 q^{-1} -279 q^{-3} +199 q^{-5} +314 q^{-7} -110 q^{-9} -315 q^{-11} +27 q^{-13} +295 q^{-15} +53 q^{-17} -249 q^{-19} -135 q^{-21} +190 q^{-23} +212 q^{-25} -111 q^{-27} -283 q^{-29} +9 q^{-31} +328 q^{-33} +103 q^{-35} -326 q^{-37} -213 q^{-39} +284 q^{-41} +279 q^{-43} -197 q^{-45} -296 q^{-47} +100 q^{-49} +262 q^{-51} -24 q^{-53} -192 q^{-55} -15 q^{-57} +115 q^{-59} +27 q^{-61} -61 q^{-63} -20 q^{-65} +30 q^{-67} +6 q^{-69} -10 q^{-71} -3 q^{-73} +5 q^{-75} + q^{-77} -3 q^{-79} + q^{-81} }

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^{10}-q^6+3 q^4-2 q^2+2 q^{-2} -3 q^{-4} +3 q^{-6} -2 q^{-8} +2 q^{-10} + q^{-12} -2 q^{-14} +3 q^{-16} -2 q^{-18} - q^{-20} + q^{-22} }
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^{28}-2 q^{24}-q^{22}+5 q^{20}+5 q^{18}-7 q^{16}-9 q^{14}+9 q^{12}+10 q^{10}-12 q^8-14 q^6+13 q^4+19 q^2-14-11 q^{-2} +19 q^{-4} +5 q^{-6} -13 q^{-8} -3 q^{-10} +9 q^{-12} -5 q^{-14} -4 q^{-16} +11 q^{-18} -4 q^{-20} -12 q^{-22} +12 q^{-24} +15 q^{-26} -20 q^{-28} -10 q^{-30} +20 q^{-32} +7 q^{-34} -17 q^{-36} -9 q^{-38} +16 q^{-40} +4 q^{-42} -10 q^{-44} - q^{-46} +5 q^{-48} +2 q^{-50} -3 q^{-52} - q^{-54} + q^{-56} }

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^{20}-2 q^{18}+2 q^{16}+4 q^{14}-10 q^{12}+8 q^{10}+9 q^8-24 q^6+18 q^4+12 q^2-32+21 q^{-2} +13 q^{-4} -29 q^{-6} +9 q^{-8} +14 q^{-10} -12 q^{-12} -5 q^{-14} +6 q^{-16} +12 q^{-18} -13 q^{-20} -9 q^{-22} +32 q^{-24} -18 q^{-26} -18 q^{-28} +34 q^{-30} -15 q^{-32} -17 q^{-34} +23 q^{-36} -5 q^{-38} -10 q^{-40} +9 q^{-42} -3 q^{-46} + q^{-48} }
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^{13}+q^9-q^7+3 q^5-3 q^3+2 q-2 q^{-1} +2 q^{-3} -2 q^{-5} + q^{-7} + q^{-9} - q^{-11} +2 q^{-13} - q^{-15} +3 q^{-17} -3 q^{-19} +3 q^{-21} -2 q^{-23} - q^{-27} + q^{-29} }

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^{20}-2 q^{18}+6 q^{16}-10 q^{14}+18 q^{12}-26 q^{10}+33 q^8-38 q^6+40 q^4-36 q^2+26-13 q^{-2} -5 q^{-4} +25 q^{-6} -45 q^{-8} +62 q^{-10} -72 q^{-12} +77 q^{-14} -72 q^{-16} +62 q^{-18} -45 q^{-20} +27 q^{-22} -6 q^{-24} -12 q^{-26} +26 q^{-28} -36 q^{-30} +39 q^{-32} -39 q^{-34} +33 q^{-36} -25 q^{-38} +18 q^{-40} -11 q^{-42} +6 q^{-44} -3 q^{-46} + q^{-48} }
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}-2 q^{30}-2 q^{28}+4 q^{26}+7 q^{24}-2 q^{22}-14 q^{20}-6 q^{18}+19 q^{16}+20 q^{14}-14 q^{12}-33 q^{10}-2 q^8+40 q^6+22 q^4-32 q^2-36+14 q^{-2} +42 q^{-4} +5 q^{-6} -36 q^{-8} -17 q^{-10} +25 q^{-12} +21 q^{-14} -17 q^{-16} -22 q^{-18} +11 q^{-20} +25 q^{-22} -6 q^{-24} -28 q^{-26} +31 q^{-30} +9 q^{-32} -30 q^{-34} -20 q^{-36} +28 q^{-38} +32 q^{-40} -17 q^{-42} -41 q^{-44} +40 q^{-48} +18 q^{-50} -27 q^{-52} -31 q^{-54} +8 q^{-56} +28 q^{-58} +8 q^{-60} -15 q^{-62} -14 q^{-64} +3 q^{-66} +10 q^{-68} +3 q^{-70} -3 q^{-72} -3 q^{-74} + q^{-78} }

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^{46}-2 q^{44}+6 q^{42}-10 q^{40}+13 q^{38}-13 q^{36}+4 q^{34}+18 q^{32}-47 q^{30}+82 q^{28}-97 q^{26}+75 q^{24}-8 q^{22}-95 q^{20}+200 q^{18}-257 q^{16}+230 q^{14}-110 q^{12}-81 q^{10}+262 q^8-360 q^6+332 q^4-170 q^2-47+233 q^{-2} -311 q^{-4} +242 q^{-6} -67 q^{-8} -131 q^{-10} +261 q^{-12} -259 q^{-14} +124 q^{-16} +92 q^{-18} -293 q^{-20} +397 q^{-22} -359 q^{-24} +181 q^{-26} +73 q^{-28} -324 q^{-30} +472 q^{-32} -465 q^{-34} +308 q^{-36} -48 q^{-38} -210 q^{-40} +372 q^{-42} -381 q^{-44} +242 q^{-46} -23 q^{-48} -174 q^{-50} +266 q^{-52} -210 q^{-54} +44 q^{-56} +152 q^{-58} -277 q^{-60} +283 q^{-62} -164 q^{-64} -29 q^{-66} +203 q^{-68} -305 q^{-70} +301 q^{-72} -199 q^{-74} +53 q^{-76} +85 q^{-78} -173 q^{-80} +192 q^{-82} -159 q^{-84} +96 q^{-86} -26 q^{-88} -29 q^{-90} +57 q^{-92} -66 q^{-94} +54 q^{-96} -33 q^{-98} +16 q^{-100} + q^{-102} -8 q^{-104} +10 q^{-106} -10 q^{-108} +6 q^{-110} -3 q^{-112} + q^{-114} }