K13n2617
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Polynomial invariants
| Jones polynomial | Data:K13n2617/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-17 t^2+32 t-39+32 t^{-1} -17 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n2617/Conway Polynomial |
| Determinant | 151 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^8+2 a^4 z^6-5 a^2 z^6+z^6-a^6 z^4+7 a^4 z^4-10 a^2 z^4+3 z^4-2 a^6 z^2+9 a^4 z^2-8 a^2 z^2+3 z^2-2 a^6+4 a^4-2 a^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+2 a^6 z^{10}+6 a^4 z^{10}+4 a^2 z^{10}+a^7 z^9+4 a^5 z^9+10 a^3 z^9+7 a z^9-2 a^6 z^8-6 a^4 z^8+3 a^2 z^8+7 z^8+2 a^7 z^7-7 a^5 z^7-23 a^3 z^7-10 a z^7+4 z^7 a^{-1} +4 a^8 z^6+8 a^6 z^6-3 a^4 z^6-23 a^2 z^6+z^6 a^{-2} -15 z^6+a^9 z^5+9 a^5 z^5+15 a^3 z^5-4 a z^5-9 z^5 a^{-1} -6 a^8 z^4-7 a^6 z^4+13 a^4 z^4+24 a^2 z^4-2 z^4 a^{-2} +8 z^4-2 a^9 z^3-4 a^7 z^3-4 a^5 z^3+7 a z^3+5 z^3 a^{-1} +2 a^8 z^2-2 a^6 z^2-11 a^4 z^2-11 a^2 z^2+z^2 a^{-2} -3 z^2+a^9 z-a^5 z-a^3 z-2 a z-z a^{-1} +2 a^6+4 a^4+2 a^2+1 }[/math] |
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