10 138 Quantum Invariants

Further quantum knot invariants for 10_138.

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-q^5+2 q^3-q+ q^{-1} - q^{-5} + q^{-7} -2 q^{-9} +2 q^{-11} }
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}-q^{20}-2 q^{18}+4 q^{16}+q^{14}-6 q^{12}+4 q^{10}+5 q^8-7 q^6-q^4+7 q^2-3-4 q^{-2} +5 q^{-4} + q^{-6} -5 q^{-8} + q^{-10} +6 q^{-12} -2 q^{-14} -5 q^{-16} +7 q^{-18} + q^{-20} -8 q^{-22} +4 q^{-24} +2 q^{-26} -4 q^{-28} + q^{-30} + q^{-32} }
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}-q^{43}-2 q^{41}+5 q^{37}+3 q^{35}-7 q^{33}-8 q^{31}+6 q^{29}+14 q^{27}-19 q^{23}-8 q^{21}+17 q^{19}+19 q^{17}-10 q^{15}-26 q^{13}+q^{11}+28 q^9+10 q^7-27 q^5-19 q^3+22 q+24 q^{-1} -15 q^{-3} -25 q^{-5} +11 q^{-7} +28 q^{-9} -6 q^{-11} -24 q^{-13} - q^{-15} +22 q^{-17} +7 q^{-19} -18 q^{-21} -17 q^{-23} +10 q^{-25} +24 q^{-27} + q^{-29} -28 q^{-31} -13 q^{-33} +28 q^{-35} +21 q^{-37} -21 q^{-39} -24 q^{-41} +14 q^{-43} +21 q^{-45} -3 q^{-47} -17 q^{-49} +8 q^{-53} -2 q^{-57} -2 q^{-59} +2 q^{-61} }

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^8+q^4-q^2- q^{-4} +2 q^{-6} - q^{-8} + q^{-10} - q^{-12} - q^{-14} + q^{-16} + q^{-20} }
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}+q^{26}-2 q^{22}+3 q^{18}+q^{16}-3 q^{14}-q^{12}+3 q^{10}+2 q^8-3 q^6+3 q^2-2 q^{-2} - q^{-6} -2 q^{-8} + q^{-10} +2 q^{-16} +7 q^{-18} +2 q^{-20} -4 q^{-22} + q^{-26} -3 q^{-28} -4 q^{-30} +2 q^{-34} +2 q^{-36} - q^{-48} + q^{-52} }

A3 Invariants.

Weight	Invariant
0,1,0	$q^{20}-q^{18}+2q^{16}+2q^{14}-2q^{12}+4q^{10}+q^{8}-4q^{6}+4q^{4}-2q^{2}-5+3q^{-2}-3q^{-6}+2q^{-8}+2q^{-10}+q^{-12}-q^{-14}+4q^{-18}-4q^{-20}+5q^{-24}-5q^{-26}-q^{-28}+4q^{-30}-3q^{-32}-q^{-34}+3q^{-36}$
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^{11}+2 q^9+q^5-2 q^3-2 q^{-1} + q^{-7} +2 q^{-9} + q^{-13} -2 q^{-15} -2 q^{-19} + q^{-21} + q^{-25} + q^{-27} }

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}-q^{18}+4 q^{16}-4 q^{14}+6 q^{12}-6 q^{10}+7 q^8-6 q^6+4 q^4-2 q^2-3+5 q^{-2} -8 q^{-4} +11 q^{-6} -12 q^{-8} +14 q^{-10} -11 q^{-12} +9 q^{-14} -6 q^{-16} +2 q^{-18} -4 q^{-22} +5 q^{-24} -7 q^{-26} +7 q^{-28} -6 q^{-30} +5 q^{-32} -3 q^{-34} +3 q^{-36} }
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}-q^{30}-q^{28}+3 q^{26}+3 q^{24}-2 q^{22}-4 q^{20}+q^{18}+6 q^{16}+3 q^{14}-6 q^{12}-5 q^{10}+4 q^8+7 q^6-q^4-8 q^2-2+5 q^{-2} +3 q^{-4} -3 q^{-6} -4 q^{-8} +2 q^{-10} +4 q^{-12} - q^{-14} -5 q^{-16} + q^{-18} +6 q^{-20} + q^{-22} -5 q^{-24} -3 q^{-26} +5 q^{-28} +5 q^{-30} -3 q^{-32} -6 q^{-34} +2 q^{-36} +7 q^{-38} + q^{-40} -6 q^{-42} -4 q^{-44} +3 q^{-46} +5 q^{-48} - q^{-50} -4 q^{-52} -2 q^{-54} + q^{-56} +3 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^{46}-q^{44}+4 q^{42}-5 q^{40}+5 q^{38}-2 q^{36}-4 q^{34}+14 q^{32}-18 q^{30}+20 q^{28}-11 q^{26}-4 q^{24}+19 q^{22}-27 q^{20}+29 q^{18}-16 q^{16}+17 q^{12}-25 q^{10}+19 q^8-5 q^6-13 q^4+20 q^2-21+7 q^{-2} +8 q^{-4} -25 q^{-6} +33 q^{-8} -29 q^{-10} +14 q^{-12} +5 q^{-14} -25 q^{-16} +35 q^{-18} -34 q^{-20} +24 q^{-22} -4 q^{-24} -12 q^{-26} +28 q^{-28} -27 q^{-30} +17 q^{-32} + q^{-34} -15 q^{-36} +22 q^{-38} -17 q^{-40} +16 q^{-44} -24 q^{-46} +25 q^{-48} -15 q^{-50} -5 q^{-52} +18 q^{-54} -26 q^{-56} +22 q^{-58} -13 q^{-60} + q^{-62} +9 q^{-64} -12 q^{-66} +11 q^{-68} -8 q^{-70} +5 q^{-72} + q^{-74} -3 q^{-76} + q^{-78} -2 q^{-80} +2 q^{-82} - q^{-84} +2 q^{-86} + q^{-88} }