K13n1818
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Polynomial invariants
| Jones polynomial | Data:K13n1818/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-7 t^3+20 t^2-29 t+31-29 t^{-1} +20 t^{-2} -7 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1818/Conway Polynomial |
| Determinant | 145 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+z^4 a^8+3 z^2 a^8+a^8-2 z^6 a^6-6 z^4 a^6-3 z^2 a^6+z^8 a^4+4 z^6 a^4+5 z^4 a^4+3 z^2 a^4-z^6 a^2-2 z^4 a^2+z^2 a^2+a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^3 a^{11}-3 z a^{11}+3 z^6 a^{10}+2 z^4 a^{10}-3 z^2 a^{10}+a^{10}+2 z^9 a^9-3 z^7 a^9+8 z^5 a^9-2 z^3 a^9-z a^9+4 z^{10} a^8-12 z^8 a^8+21 z^6 a^8-11 z^4 a^8+a^8+2 z^{11} a^7+3 z^9 a^7-23 z^7 a^7+37 z^5 a^7-22 z^3 a^7+3 z a^7+11 z^{10} a^6-33 z^8 a^6+30 z^6 a^6-10 z^4 a^6+2 z^{11} a^5+10 z^9 a^5-51 z^7 a^5+56 z^5 a^5-21 z^3 a^5+z a^5+7 z^{10} a^4-16 z^8 a^4-3 z^6 a^4+12 z^4 a^4-2 z^2 a^4+9 z^9 a^3-30 z^7 a^3+25 z^5 a^3-5 z^3 a^3+5 z^8 a^2-15 z^6 a^2+9 z^4 a^2+z^2 a^2-a^2+z^7 a-2 z^5 a }[/math] |
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