K13n1484
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Polynomial invariants
| Jones polynomial | Data:K13n1484/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+15 t^2-18 t+17-18 t^{-1} +15 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1484/Conway Polynomial |
| Determinant | 97 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+z^4 a^8+4 z^2 a^8+2 a^8-2 z^6 a^6-8 z^4 a^6-8 z^2 a^6-3 a^6+z^8 a^4+5 z^6 a^4+9 z^4 a^4+9 z^2 a^4+3 a^4-z^6 a^2-3 z^4 a^2-z^2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^3 a^{11}-2 z a^{11}+z^6 a^{10}+2 z^4 a^{10}-3 z^2 a^{10}+a^{10}+z^9 a^9-3 z^7 a^9+8 z^5 a^9-5 z^3 a^9+z a^9+2 z^{10} a^8-7 z^8 a^8+10 z^6 a^8+z^4 a^8-6 z^2 a^8+2 a^8+z^{11} a^7+2 z^9 a^7-20 z^7 a^7+39 z^5 a^7-26 z^3 a^7+5 z a^7+6 z^{10} a^6-20 z^8 a^6+13 z^6 a^6+13 z^4 a^6-15 z^2 a^6+3 a^6+z^{11} a^5+7 z^9 a^5-41 z^7 a^5+56 z^5 a^5-27 z^3 a^5+3 z a^5+4 z^{10} a^4-9 z^8 a^4-11 z^6 a^4+27 z^4 a^4-15 z^2 a^4+3 a^4+6 z^9 a^3-23 z^7 a^3+22 z^5 a^3-7 z^3 a^3+z a^3+4 z^8 a^2-15 z^6 a^2+13 z^4 a^2-3 z^2 a^2+z^7 a-3 z^5 a+z^3 a }[/math] |
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