K13n1345
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Polynomial invariants
| Jones polynomial | Data:K13n1345/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+4 t^2+3 t-9+3 t^{-1} +4 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1345/Conway Polynomial |
| Determinant | 3 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+2 z^2 a^8+a^8+3 z^2 a^6+2 a^6-z^6 a^4-5 z^4 a^4-5 z^2 a^4-3 a^4-z^6 a^2-4 z^4 a^2-2 z^2 a^2+a^2+z^4+3 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-5 z^5 a^{11}+7 z^3 a^{11}-3 z a^{11}+2 z^8 a^{10}-10 z^6 a^{10}+14 z^4 a^{10}-7 z^2 a^{10}+a^{10}+z^9 a^9-2 z^7 a^9-8 z^5 a^9+15 z^3 a^9-5 z a^9+3 z^8 a^8-15 z^6 a^8+18 z^4 a^8-7 z^2 a^8+a^8+2 z^7 a^7-13 z^5 a^7+15 z^3 a^7-4 z a^7+z^{10} a^6-9 z^8 a^6+25 z^6 a^6-33 z^4 a^6+16 z^2 a^6-2 a^6+z^{11} a^5-8 z^9 a^5+20 z^7 a^5-24 z^5 a^5+13 z^3 a^5-3 z a^5+3 z^{10} a^4-23 z^8 a^4+56 z^6 a^4-59 z^4 a^4+25 z^2 a^4-3 a^4+z^{11} a^3-5 z^9 a^3+3 z^7 a^3+6 z^5 a^3-4 z^3 a^3+2 z^{10} a^2-12 z^8 a^2+20 z^6 a^2-12 z^4 a^2+4 z^2 a^2-a^2+2 z^9 a-12 z^7 a+20 z^5 a-10 z^3 a+z a+z^8-6 z^6+10 z^4-5 z^2+1 }[/math] |
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