K13n1350
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Polynomial invariants
| Jones polynomial | Data:K13n1350/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3-t^2+13 t-21+13 t^{-1} - t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n1350/Conway Polynomial |
| Determinant | 47 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{10}+3 z^2 a^8+2 a^8-2 z^4 a^6-2 z^2 a^6-a^6-z^4 a^4+z^2 a^4+a^4-z^6 a^2-5 z^4 a^2-5 z^2 a^2-2 a^2+z^4+3 z^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^7 a^{11}-4 z^5 a^{11}+5 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-12 z^6 a^{10}+14 z^4 a^{10}-6 z^2 a^{10}+a^{10}+3 z^9 a^9-8 z^7 a^9-2 z^5 a^9+9 z^3 a^9-3 z a^9+z^{10} a^8+4 z^8 a^8-26 z^6 a^8+27 z^4 a^8-11 z^2 a^8+2 a^8+5 z^9 a^7-16 z^7 a^7+7 z^5 a^7+2 z^3 a^7-2 z a^7+2 z^{10} a^6-8 z^8 a^6+8 z^6 a^6-4 z^4 a^6-z^2 a^6+a^6+z^{11} a^5-5 z^9 a^5+3 z^7 a^5+6 z^5 a^5-2 z^3 a^5-2 z a^5+3 z^{10} a^4-22 z^8 a^4+42 z^6 a^4-23 z^4 a^4+3 z^2 a^4+a^4+z^{11} a^3-5 z^9 a^3-2 z^7 a^3+19 z^5 a^3-9 z^3 a^3+2 z^{10} a^2-12 z^8 a^2+14 z^6 a^2+4 z^4 a^2-8 z^2 a^2+2 a^2+2 z^9 a-12 z^7 a+18 z^5 a-9 z^3 a+z a+z^8-6 z^6+10 z^4-7 z^2+2 }[/math] |
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