K13n257
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Polynomial invariants
| Jones polynomial | Data:K13n257/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-12 t^2+20 t-23+20 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n257/Conway Polynomial |
| Determinant | 99 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^8+a^6 z^6-6 a^4 z^6+2 a^2 z^6+4 a^6 z^4-14 a^4 z^4+9 a^2 z^4-z^4+5 a^6 z^2-15 a^4 z^2+14 a^2 z^2-3 z^2+2 a^6-7 a^4+8 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+5 a^4 z^{10}+2 a^2 z^{10}+4 a^7 z^9+2 a^5 z^9-a^3 z^9+a z^9+4 a^8 z^8-8 a^6 z^8-22 a^4 z^8-10 a^2 z^8+3 a^9 z^7-10 a^7 z^7-16 a^5 z^7-6 a^3 z^7-3 a z^7+a^{10} z^6-10 a^8 z^6+11 a^6 z^6+48 a^4 z^6+29 a^2 z^6+3 z^6-9 a^9 z^5+8 a^7 z^5+37 a^5 z^5+29 a^3 z^5+10 a z^5+z^5 a^{-1} -3 a^{10} z^4+4 a^8 z^4-10 a^6 z^4-46 a^4 z^4-37 a^2 z^4-8 z^4+6 a^9 z^3-6 a^7 z^3-32 a^5 z^3-33 a^3 z^3-16 a z^3-3 z^3 a^{-1} +2 a^{10} z^2+6 a^6 z^2+25 a^4 z^2+23 a^2 z^2+6 z^2-a^9 z+2 a^7 z+11 a^5 z+13 a^3 z+7 a z+2 z a^{-1} -2 a^6-7 a^4-8 a^2-2 }[/math] |
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