K13n1854
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Polynomial invariants
| Jones polynomial | Data:K13n1854/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+6 t^3-15 t^2+27 t-33+27 t^{-1} -15 t^{-2} +6 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n1854/Conway Polynomial |
| Determinant | 131 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^8-3 z^2 a^8-3 a^8+2 z^6 a^6+8 z^4 a^6+11 z^2 a^6+5 a^6-z^8 a^4-5 z^6 a^4-9 z^4 a^4-6 z^2 a^4-2 a^4+z^6 a^2+3 z^4 a^2+3 z^2 a^2+a^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}-10 z^6 a^{10}+9 z^4 a^{10}-2 z^2 a^{10}+5 z^9 a^9-16 z^7 a^9+15 z^5 a^9-8 z^3 a^9+3 z a^9+4 z^{10} a^8-8 z^8 a^8-3 z^4 a^8+9 z^2 a^8-3 a^8+z^{11} a^7+8 z^9 a^7-31 z^7 a^7+34 z^5 a^7-22 z^3 a^7+7 z a^7+6 z^{10} a^6-11 z^8 a^6+7 z^6 a^6-15 z^4 a^6+16 z^2 a^6-5 a^6+z^{11} a^5+4 z^9 a^5-7 z^7 a^5+2 z^5 a^5-3 z^3 a^5+2 z a^5+2 z^{10} a^4+6 z^6 a^4-14 z^4 a^4+9 z^2 a^4-2 a^4+z^9 a^3+7 z^7 a^3-9 z^5 a^3+4 z^3 a^3+9 z^6 a^2-10 z^4 a^2+4 z^2 a^2-a^2+4 z^5 a-2 z^3 a+z^4 }[/math] |
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