K13n216
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Polynomial invariants
| Jones polynomial | Data:K13n216/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+14 t^2-38 t+53-38 t^{-1} +14 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n216/Conway Polynomial |
| Determinant | 161 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^8-4 z^2 a^6-4 a^6+5 z^4 a^4+10 z^2 a^4+6 a^4-2 z^6 a^2-6 z^4 a^2-9 z^2 a^2-4 a^2+3 z^4+4 z^2+2-z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+5 a^6 z^{10}+14 a^4 z^{10}+9 a^2 z^{10}+4 a^7 z^9+11 a^5 z^9+21 a^3 z^9+14 a z^9+a^8 z^8-14 a^6 z^8-38 a^4 z^8-14 a^2 z^8+9 z^8-17 a^7 z^7-69 a^5 z^7-100 a^3 z^7-46 a z^7+2 z^7 a^{-1} -4 a^8 z^6-a^6 z^6-2 a^4 z^6-28 a^2 z^6-23 z^6+25 a^7 z^5+98 a^5 z^5+125 a^3 z^5+56 a z^5+4 z^5 a^{-1} +6 a^8 z^4+25 a^6 z^4+51 a^4 z^4+55 a^2 z^4+5 z^4 a^{-2} +28 z^4-15 a^7 z^3-53 a^5 z^3-63 a^3 z^3-30 a z^3-4 z^3 a^{-1} +z^3 a^{-3} -4 a^8 z^2-19 a^6 z^2-33 a^4 z^2-28 a^2 z^2-3 z^2 a^{-2} -13 z^2+3 a^7 z+10 a^5 z+12 a^3 z+6 a z+z a^{-1} +a^8+4 a^6+6 a^4+4 a^2+2 }[/math] |
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