10 165 Quantum Invariants

Further quantum knot invariants for 10_165.

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 2 q^{-1} -2 q^{-3} +2 q^{-5} + q^{-9} + q^{-11} -2 q^{-13} + q^{-15} -2 q^{-17} + q^{-19} }
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 1+ q^{-2} -3 q^{-4} +4 q^{-6} +4 q^{-8} -9 q^{-10} +3 q^{-12} +8 q^{-14} -8 q^{-16} -2 q^{-18} +8 q^{-20} + q^{-22} -6 q^{-24} +3 q^{-26} +5 q^{-28} -7 q^{-30} -4 q^{-32} +7 q^{-34} -3 q^{-36} -8 q^{-38} +8 q^{-40} +4 q^{-42} -8 q^{-44} +2 q^{-46} +6 q^{-48} -3 q^{-50} -2 q^{-52} + q^{-54} }
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 2 q-2 q^{-1} +3 q^{-5} +7 q^{-7} -7 q^{-9} -18 q^{-11} +9 q^{-13} +31 q^{-15} +2 q^{-17} -42 q^{-19} -17 q^{-21} +45 q^{-23} +33 q^{-25} -31 q^{-27} -42 q^{-29} +13 q^{-31} +40 q^{-33} +7 q^{-35} -32 q^{-37} -22 q^{-39} +20 q^{-41} +30 q^{-43} -8 q^{-45} -36 q^{-47} + q^{-49} +37 q^{-51} +4 q^{-53} -42 q^{-55} -10 q^{-57} +38 q^{-59} +20 q^{-61} -38 q^{-63} -29 q^{-65} +29 q^{-67} +40 q^{-69} -11 q^{-71} -42 q^{-73} -5 q^{-75} +37 q^{-77} +23 q^{-79} -23 q^{-81} -31 q^{-83} +4 q^{-85} +26 q^{-87} +8 q^{-89} -15 q^{-91} -14 q^{-93} +5 q^{-95} +9 q^{-97} +2 q^{-99} -3 q^{-101} -2 q^{-103} + q^{-105} }

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 2 q^{-2} - q^{-4} +2 q^{-8} +2 q^{-12} -2 q^{-20} + q^{-22} - q^{-24} - q^{-26} + q^{-28} }
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 2 q^{-2} -2 q^{-8} +6 q^{-10} +4 q^{-12} +8 q^{-16} -28 q^{-18} +56 q^{-20} -82 q^{-22} +106 q^{-24} -126 q^{-26} +128 q^{-28} -102 q^{-30} +56 q^{-32} +2 q^{-34} -67 q^{-36} +126 q^{-38} -172 q^{-40} +204 q^{-42} -217 q^{-44} +204 q^{-46} -172 q^{-48} +122 q^{-50} -72 q^{-52} +4 q^{-54} +58 q^{-56} -98 q^{-58} +119 q^{-60} -118 q^{-62} +108 q^{-64} -78 q^{-66} +50 q^{-68} -30 q^{-70} +12 q^{-72} -4 q^{-74} + q^{-76} }
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^{-2} +2 q^{-4} -3 q^{-6} - q^{-8} +7 q^{-10} +5 q^{-12} -4 q^{-14} -4 q^{-16} +3 q^{-18} +4 q^{-20} -5 q^{-22} -2 q^{-24} +4 q^{-26} +2 q^{-28} +2 q^{-30} + q^{-32} + q^{-34} + q^{-38} - q^{-40} -6 q^{-42} -4 q^{-44} + q^{-46} + q^{-48} -6 q^{-50} - q^{-52} +5 q^{-54} +4 q^{-56} -2 q^{-58} -3 q^{-60} +5 q^{-62} +3 q^{-64} - q^{-66} -3 q^{-68} - q^{-70} + q^{-72} }

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 3 q^{-4} - q^{-6} -3 q^{-8} +5 q^{-10} + q^{-12} -4 q^{-14} +8 q^{-16} +3 q^{-18} -3 q^{-20} +6 q^{-22} -4 q^{-26} - q^{-28} -2 q^{-30} -5 q^{-34} +4 q^{-38} -4 q^{-40} - q^{-42} +6 q^{-44} -3 q^{-46} +5 q^{-50} -5 q^{-52} + q^{-54} + q^{-56} -2 q^{-58} + q^{-60} }
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 2 q^{-3} - q^{-5} + q^{-7} +2 q^{-11} +2 q^{-15} + q^{-17} - q^{-23} -2 q^{-27} + q^{-29} - q^{-31} - q^{-35} + q^{-37} }

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 3 q^{-6} -2 q^{-10} + q^{-12} +4 q^{-14} + q^{-16} -4 q^{-18} +3 q^{-20} +9 q^{-22} + q^{-24} -2 q^{-26} +9 q^{-28} +8 q^{-30} -4 q^{-32} - q^{-34} +2 q^{-36} -5 q^{-38} -12 q^{-40} -3 q^{-42} -2 q^{-44} -10 q^{-46} +10 q^{-50} -3 q^{-54} +9 q^{-56} +6 q^{-58} -5 q^{-60} -4 q^{-62} +4 q^{-64} -5 q^{-68} +3 q^{-72} - q^{-74} - q^{-76} + q^{-78} }
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 2 q^{-4} - q^{-6} + q^{-8} + q^{-10} +2 q^{-14} +2 q^{-18} + q^{-20} + q^{-22} - q^{-28} - q^{-30} -2 q^{-34} + q^{-36} - q^{-38} - q^{-44} + q^{-46} }

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 3 q^{-4} -3 q^{-6} +5 q^{-8} -7 q^{-10} +9 q^{-12} -8 q^{-14} +8 q^{-16} -5 q^{-18} +3 q^{-20} +2 q^{-22} -6 q^{-24} +10 q^{-26} -13 q^{-28} +16 q^{-30} -16 q^{-32} +15 q^{-34} -12 q^{-36} +8 q^{-38} -4 q^{-40} - q^{-42} +4 q^{-44} -7 q^{-46} +8 q^{-48} -9 q^{-50} +7 q^{-52} -7 q^{-54} +5 q^{-56} -2 q^{-58} + q^{-60} }
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 3 q^{-6} + q^{-8} -2 q^{-10} -4 q^{-12} - q^{-14} +6 q^{-16} +5 q^{-18} -3 q^{-20} -6 q^{-22} + q^{-24} +10 q^{-26} +4 q^{-28} -6 q^{-30} -5 q^{-32} +6 q^{-34} +7 q^{-36} -3 q^{-38} -8 q^{-40} +7 q^{-44} + q^{-46} -7 q^{-48} -3 q^{-50} +4 q^{-52} +3 q^{-54} -5 q^{-56} -5 q^{-58} +3 q^{-60} +6 q^{-62} -2 q^{-64} -9 q^{-66} -2 q^{-68} +8 q^{-70} +7 q^{-72} -5 q^{-74} -8 q^{-76} +3 q^{-78} +9 q^{-80} + q^{-82} -6 q^{-84} -4 q^{-86} +4 q^{-88} +3 q^{-90} -2 q^{-92} -2 q^{-94} + q^{-98} }

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 3 q^{-6} -2 q^{-8} +2 q^{-10} -3 q^{-12} +7 q^{-14} -5 q^{-16} +6 q^{-18} -6 q^{-20} +9 q^{-22} -3 q^{-24} +7 q^{-26} +2 q^{-30} +4 q^{-32} -4 q^{-34} +6 q^{-36} -12 q^{-38} +8 q^{-40} -15 q^{-42} +10 q^{-44} -14 q^{-46} +10 q^{-48} -10 q^{-50} +8 q^{-52} -5 q^{-54} +4 q^{-56} + q^{-58} - q^{-60} +3 q^{-62} -5 q^{-64} +8 q^{-66} -7 q^{-68} +6 q^{-70} -7 q^{-72} +6 q^{-74} -5 q^{-76} +3 q^{-78} -2 q^{-80} + q^{-82} }

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^{-8} +2 q^{-10} - q^{-12} +2 q^{-14} -2 q^{-16} + q^{-18} -2 q^{-20} +4 q^{-24} -4 q^{-26} +9 q^{-28} -12 q^{-30} +13 q^{-32} -6 q^{-34} -7 q^{-36} +24 q^{-38} -33 q^{-40} +29 q^{-42} -15 q^{-44} -7 q^{-46} +33 q^{-48} -39 q^{-50} +36 q^{-52} -12 q^{-54} -17 q^{-56} +36 q^{-58} -34 q^{-60} +13 q^{-62} +15 q^{-64} -35 q^{-66} +40 q^{-68} -22 q^{-70} - q^{-72} +23 q^{-74} -45 q^{-76} +47 q^{-78} -37 q^{-80} +11 q^{-82} +11 q^{-84} -35 q^{-86} +48 q^{-88} -38 q^{-90} +21 q^{-92} -3 q^{-94} -25 q^{-96} +38 q^{-98} -31 q^{-100} +6 q^{-102} +19 q^{-104} -35 q^{-106} +36 q^{-108} -11 q^{-110} -18 q^{-112} +38 q^{-114} -42 q^{-116} +32 q^{-118} -10 q^{-120} -17 q^{-122} +31 q^{-124} -29 q^{-126} +22 q^{-128} -7 q^{-130} -5 q^{-132} +8 q^{-134} -9 q^{-136} +5 q^{-138} -2 q^{-140} + q^{-142} }