K13n158
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Polynomial invariants
| Jones polynomial | Data:K13n158/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+2 t^2+t-3+ t^{-1} +2 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n158/Conway Polynomial |
| Determinant | 1 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^8-2 a^8+2 z^4 a^6+7 z^2 a^6+5 a^6-z^6 a^4-5 z^4 a^4-7 z^2 a^4-4 a^4+2 z^2 a^2+2 a^2-z^4-2 z^2-1+z^2 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+4 a^6 z^{10}+2 a^4 z^{10}+a^9 z^9-4 a^7 z^9-5 a^5 z^9+a^3 z^9+a z^9-14 a^8 z^8-29 a^6 z^8-16 a^4 z^8+a^2 z^8+2 z^8-7 a^9 z^7-5 a^7 z^7-a^5 z^7-9 a^3 z^7-4 a z^7+2 z^7 a^{-1} +32 a^8 z^6+67 a^6 z^6+38 a^4 z^6-6 a^2 z^6+z^6 a^{-2} -8 z^6+16 a^9 z^5+30 a^7 z^5+23 a^5 z^5+19 a^3 z^5+2 a z^5-8 z^5 a^{-1} -30 a^8 z^4-65 a^6 z^4-39 a^4 z^4+5 a^2 z^4-4 z^4 a^{-2} +5 z^4-14 a^9 z^3-29 a^7 z^3-25 a^5 z^3-16 a^3 z^3+6 z^3 a^{-1} +13 a^8 z^2+29 a^6 z^2+19 a^4 z^2+2 a^2 z^2+3 z^2 a^{-2} +2 z^2+4 a^9 z+8 a^7 z+7 a^5 z+5 a^3 z+a z-z a^{-1} -2 a^8-5 a^6-4 a^4-2 a^2- a^{-2} -1 }[/math] |
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