10 150 Quantum Invariants
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Further quantum knot invariants for 10_150.
A1 Invariants.
| Weight | Invariant |
|---|---|
| 1 | |
| 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^6-q^4-2 q^2+4+2 q^{-2} -5 q^{-4} +2 q^{-6} +5 q^{-8} -3 q^{-10} -2 q^{-12} +5 q^{-14} -4 q^{-18} +2 q^{-20} +2 q^{-22} -4 q^{-24} - q^{-26} +4 q^{-28} - q^{-30} -5 q^{-32} +4 q^{-34} +3 q^{-36} -5 q^{-38} + q^{-40} +2 q^{-42} - q^{-44} } |
| 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^{13}-2 q^{11}+5 q^7+4 q^5-6 q^3-9 q+2 q^{-1} +13 q^{-3} +7 q^{-5} -12 q^{-7} -12 q^{-9} +5 q^{-11} +19 q^{-13} +5 q^{-15} -17 q^{-17} -12 q^{-19} +13 q^{-21} +18 q^{-23} -7 q^{-25} -21 q^{-27} + q^{-29} +20 q^{-31} +2 q^{-33} -18 q^{-35} -5 q^{-37} +18 q^{-39} +5 q^{-41} -15 q^{-43} -9 q^{-45} +11 q^{-47} +10 q^{-49} -5 q^{-51} -15 q^{-53} -3 q^{-55} +17 q^{-57} +14 q^{-59} -13 q^{-61} -21 q^{-63} +7 q^{-65} +25 q^{-67} -21 q^{-71} -6 q^{-73} +11 q^{-75} +9 q^{-77} -6 q^{-79} -5 q^{-81} + q^{-83} +2 q^{-85} + q^{-87} - q^{-89} } |
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 1+ q^{-4} + q^{-6} +2 q^{-10} - q^{-12} + q^{-14} - q^{-16} - q^{-18} - q^{-22} + q^{-24} } |
| 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^4-2 q^2+8-16 q^{-2} +27 q^{-4} -36 q^{-6} +48 q^{-8} -46 q^{-10} +44 q^{-12} -24 q^{-14} +6 q^{-16} +22 q^{-18} -48 q^{-20} +64 q^{-22} -80 q^{-24} +82 q^{-26} -81 q^{-28} +66 q^{-30} -48 q^{-32} +28 q^{-34} -22 q^{-38} +42 q^{-40} -52 q^{-42} +51 q^{-44} -46 q^{-46} +30 q^{-48} -18 q^{-50} +7 q^{-52} +2 q^{-54} -4 q^{-56} +4 q^{-58} -2 q^{-66} + q^{-68} } |
| 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^4-1+2 q^{-4} +2 q^{-6} +4 q^{-12} +2 q^{-14} - q^{-16} - q^{-22} - q^{-24} - q^{-26} + q^{-28} - q^{-30} +2 q^{-32} + q^{-34} -2 q^{-36} - q^{-38} + q^{-40} - q^{-42} -3 q^{-44} + q^{-46} + q^{-48} +2 q^{-50} -2 q^{-52} + q^{-56} + q^{-60} - q^{-62} } |
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 1- q^{-2} +2 q^{-4} +2 q^{-6} - q^{-8} +4 q^{-10} + q^{-12} - q^{-14} +4 q^{-16} - q^{-18} - q^{-20} +2 q^{-22} -3 q^{-26} - q^{-28} -2 q^{-30} - q^{-32} -2 q^{-34} +4 q^{-38} -2 q^{-40} +2 q^{-42} +3 q^{-44} -3 q^{-46} +2 q^{-50} -2 q^{-52} - q^{-54} + q^{-56} } |
| 1,0,0 |
A4 Invariants.
| Weight | Invariant |
|---|---|
| 0,1,0,0 | |
| 1,0,0,0 |
B2 Invariants.
| Weight | Invariant |
|---|---|
| 0,1 | |
| 1,0 |
D4 Invariants.
| Weight | Invariant |
|---|---|
| 1,0,0,0 |
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^{-2} - q^{-4} +4 q^{-6} -5 q^{-8} +5 q^{-10} - q^{-12} -5 q^{-14} +14 q^{-16} -15 q^{-18} +14 q^{-20} -5 q^{-22} -7 q^{-24} +17 q^{-26} -19 q^{-28} +15 q^{-30} - q^{-32} -9 q^{-34} +15 q^{-36} -12 q^{-38} +2 q^{-40} +11 q^{-42} -18 q^{-44} +16 q^{-46} -7 q^{-48} -4 q^{-50} +16 q^{-52} -21 q^{-54} +21 q^{-56} -13 q^{-58} +2 q^{-60} +8 q^{-62} -17 q^{-64} +19 q^{-66} -16 q^{-68} +7 q^{-70} +3 q^{-72} -12 q^{-74} +14 q^{-76} -11 q^{-78} -3 q^{-80} +12 q^{-82} -17 q^{-84} +12 q^{-86} -2 q^{-88} -12 q^{-90} +20 q^{-92} -18 q^{-94} +11 q^{-96} -10 q^{-100} +14 q^{-102} -11 q^{-104} +6 q^{-106} +2 q^{-108} -3 q^{-110} +4 q^{-112} -3 q^{-114} + q^{-118} + q^{-120} - q^{-122} - q^{-126} - q^{-132} + q^{-134} } |