10 128 Quantum Invariants
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Further quantum knot invariants for 10_128.
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^{-5} + q^{-9} + q^{-11} + q^{-13} - q^{-17} - q^{-21} } |
| 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^{-10} +2 q^{-16} + q^{-18} + q^{-22} + q^{-24} + q^{-26} - q^{-28} + q^{-32} - q^{-34} - q^{-36} -2 q^{-40} - q^{-42} + q^{-52} - q^{-56} + q^{-60} } |
| 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^{-15} + q^{-21} +2 q^{-23} + q^{-25} - q^{-27} +2 q^{-31} +2 q^{-33} + q^{-35} - q^{-41} + q^{-43} +2 q^{-45} -3 q^{-49} -2 q^{-51} + q^{-53} + q^{-55} -2 q^{-57} -3 q^{-59} + q^{-61} +2 q^{-63} - q^{-65} -3 q^{-67} - q^{-73} - q^{-75} + q^{-77} + q^{-81} + q^{-83} - q^{-85} +3 q^{-89} +2 q^{-91} -3 q^{-93} -3 q^{-95} +3 q^{-97} +3 q^{-99} -2 q^{-101} -3 q^{-103} +3 q^{-107} + q^{-109} - q^{-111} - q^{-113} } |
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^{-14} + q^{-16} +2 q^{-18} + q^{-20} + q^{-22} + q^{-24} - q^{-26} - q^{-28} -2 q^{-30} - q^{-32} - q^{-34} + q^{-38} } |
| 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^{-20} +2 q^{-24} +6 q^{-28} +8 q^{-32} +2 q^{-34} +7 q^{-36} +2 q^{-38} +2 q^{-42} -5 q^{-44} -8 q^{-48} -2 q^{-50} -9 q^{-52} -2 q^{-54} -6 q^{-56} +2 q^{-58} -2 q^{-60} +4 q^{-62} +2 q^{-64} +2 q^{-66} + q^{-68} +2 q^{-70} -2 q^{-78} +2 q^{-80} -4 q^{-82} +3 q^{-84} -2 q^{-86} +2 q^{-88} } |
| 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^{-20} + q^{-26} +2 q^{-28} +2 q^{-30} +2 q^{-32} +2 q^{-34} +3 q^{-36} +2 q^{-38} +2 q^{-40} +2 q^{-42} +2 q^{-44} - q^{-50} -2 q^{-52} -4 q^{-54} -5 q^{-56} -4 q^{-58} -3 q^{-60} -3 q^{-62} + q^{-70} + q^{-72} + q^{-74} +2 q^{-78} +2 q^{-80} +2 q^{-82} + q^{-86} - q^{-88} -2 q^{-90} - q^{-92} + q^{-96} } |
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} + q^{-24} +2 q^{-26} +2 q^{-28} +2 q^{-30} +3 q^{-32} +3 q^{-34} +3 q^{-36} +2 q^{-38} +3 q^{-40} - q^{-44} -3 q^{-46} -4 q^{-48} -6 q^{-50} -5 q^{-52} -3 q^{-54} -2 q^{-56} + q^{-58} +2 q^{-60} +3 q^{-62} + q^{-64} + q^{-66} } |
| 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^{-19} + q^{-21} +2 q^{-23} + q^{-25} +2 q^{-27} +2 q^{-29} + q^{-31} + q^{-33} - q^{-35} - q^{-37} -3 q^{-39} -2 q^{-41} -2 q^{-43} - q^{-45} + q^{-49} + q^{-51} } |
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^{-30} + q^{-34} +2 q^{-36} +3 q^{-38} +2 q^{-40} +4 q^{-42} +4 q^{-44} +5 q^{-46} +4 q^{-48} +4 q^{-50} +5 q^{-52} +5 q^{-54} +3 q^{-56} +3 q^{-58} +2 q^{-60} -2 q^{-62} -6 q^{-64} -10 q^{-66} -12 q^{-68} -14 q^{-70} -12 q^{-72} -7 q^{-74} -3 q^{-76} + q^{-78} +7 q^{-80} +8 q^{-82} +6 q^{-84} +5 q^{-86} +4 q^{-88} + q^{-90} - q^{-92} - q^{-94} - q^{-98} - q^{-100} } |
| 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^{-20} + q^{-24} + q^{-26} +2 q^{-28} + q^{-30} +2 q^{-32} +2 q^{-34} +2 q^{-36} +2 q^{-38} + q^{-40} + q^{-42} - q^{-44} - q^{-46} -3 q^{-48} -3 q^{-50} -3 q^{-52} -2 q^{-54} - q^{-56} + q^{-60} + q^{-62} + q^{-64} } |
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^{-24} +2 q^{-28} + q^{-32} + q^{-34} + q^{-36} +2 q^{-38} - q^{-40} +2 q^{-42} - q^{-44} + q^{-46} -2 q^{-48} - q^{-52} - q^{-54} - q^{-58} - q^{-62} + q^{-64} - q^{-66} } |
| 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^{-30} + q^{-38} + q^{-40} + q^{-42} +2 q^{-46} +2 q^{-48} + q^{-50} +2 q^{-54} +2 q^{-56} +2 q^{-58} + q^{-62} + q^{-64} + q^{-66} - q^{-68} - q^{-70} - q^{-72} - q^{-74} -2 q^{-76} -3 q^{-78} -2 q^{-80} -2 q^{-82} - q^{-84} -2 q^{-86} -2 q^{-88} - q^{-90} + q^{-92} + q^{-98} +2 q^{-100} + q^{-102} + q^{-108} } |
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^{-30} + q^{-34} + q^{-36} +3 q^{-38} + q^{-40} +3 q^{-42} +2 q^{-44} +3 q^{-46} +3 q^{-48} +2 q^{-50} +3 q^{-52} +2 q^{-54} +4 q^{-56} + q^{-58} +2 q^{-60} -2 q^{-62} - q^{-64} -5 q^{-66} -5 q^{-68} -7 q^{-70} -6 q^{-72} -5 q^{-74} -3 q^{-76} - q^{-78} +3 q^{-82} +2 q^{-84} +3 q^{-86} + q^{-88} +2 q^{-90} } |
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^{-50} + q^{-54} + q^{-58} +3 q^{-64} - q^{-66} +2 q^{-68} +2 q^{-74} + q^{-78} + q^{-80} + q^{-84} +2 q^{-86} - q^{-88} +3 q^{-90} -2 q^{-92} +2 q^{-94} +2 q^{-96} - q^{-98} +3 q^{-100} - q^{-102} +2 q^{-104} - q^{-114} - q^{-116} - q^{-120} -3 q^{-124} - q^{-126} -3 q^{-128} + q^{-130} -3 q^{-132} -2 q^{-134} -3 q^{-138} +2 q^{-140} -2 q^{-142} - q^{-144} - q^{-148} + q^{-152} - q^{-154} +2 q^{-156} + q^{-158} - q^{-160} +2 q^{-162} - q^{-164} + q^{-166} + q^{-168} - q^{-170} + q^{-172} } |