K13n3513
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Polynomial invariants
| Jones polynomial | Data:K13n3513/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-9 t+15-9 t^{-1} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3513/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+z^6 a^{-2} -6 z^6+2 a^4 z^4+2 a^2 z^4+4 z^4 a^{-2} -10 z^4-a^6 z^2+3 a^4 z^2+3 a^2 z^2+3 z^2 a^{-2} -6 z^2-a^6+a^4+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a z^{11}+z^{11} a^{-1} +a^4 z^{10}+2 a^2 z^{10}+3 z^{10} a^{-2} +4 z^{10}+3 a^5 z^9+4 a^3 z^9-4 a z^9-2 z^9 a^{-1} +3 z^9 a^{-3} +3 a^6 z^8+2 a^4 z^8-12 a^2 z^8-17 z^8 a^{-2} +z^8 a^{-4} -29 z^8+a^7 z^7-9 a^5 z^7-18 a^3 z^7-11 a z^7-20 z^7 a^{-1} -17 z^7 a^{-3} -12 a^6 z^6-21 a^4 z^6+17 a^2 z^6+23 z^6 a^{-2} -5 z^6 a^{-4} +54 z^6-4 a^7 z^5+20 a^3 z^5+41 a z^5+51 z^5 a^{-1} +26 z^5 a^{-3} +13 a^6 z^4+22 a^4 z^4-10 a^2 z^4-9 z^4 a^{-2} +6 z^4 a^{-4} -34 z^4+5 a^7 z^3+6 a^5 z^3-14 a^3 z^3-35 a z^3-34 z^3 a^{-1} -14 z^3 a^{-3} -5 a^6 z^2-8 a^4 z^2+2 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +9 z^2-2 a^7 z-a^5 z+5 a^3 z+9 a z+7 z a^{-1} +2 z a^{-3} +a^6+a^4-a^2 }[/math] |
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