K13n3448
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Polynomial invariants
| Jones polynomial | Data:K13n3448/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+13 t^2-38 t+55-38 t^{-1} +13 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3448/Conway Polynomial |
| Determinant | 161 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-z^6+a^4 z^4-2 a^2 z^4+2 z^4 a^{-2} +a^4 z^2-5 a^2 z^2-z^2 a^{-4} +z^2+2 a^4-3 a^2- a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a z^{11}+2 z^{11} a^{-1} +7 a^2 z^{10}+3 z^{10} a^{-2} +10 z^{10}+11 a^3 z^9+9 a z^9-z^9 a^{-1} +z^9 a^{-3} +9 a^4 z^8-11 a^2 z^8-8 z^8 a^{-2} -28 z^8+4 a^5 z^7-31 a^3 z^7-36 a z^7+3 z^7 a^{-1} +4 z^7 a^{-3} +a^6 z^6-24 a^4 z^6-6 a^2 z^6+25 z^6 a^{-2} +5 z^6 a^{-4} +39 z^6-8 a^5 z^5+30 a^3 z^5+44 a z^5-z^5 a^{-1} -6 z^5 a^{-3} +z^5 a^{-5} -2 a^6 z^4+19 a^4 z^4+22 a^2 z^4-30 z^4 a^{-2} -8 z^4 a^{-4} -21 z^4+a^5 z^3-13 a^3 z^3-15 a z^3-z^3 a^{-5} -9 a^4 z^2-13 a^2 z^2+8 z^2 a^{-2} +2 z^2 a^{-4} +2 z^2+2 a^3 z-2 z a^{-1} +2 a^4+3 a^2+ a^{-2} + a^{-4} +2 }[/math] |
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