K13n3378
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Polynomial invariants
| Jones polynomial | Data:K13n3378/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -7 t^2+25 t-35+25 t^{-1} -7 t^{-2} }[/math] |
| Conway polynomial | Data:K13n3378/Conway Polynomial |
| Determinant | 99 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-z^4 a^6+z^2 a^6+a^6-3 z^4 a^4-3 z^2 a^4-3 z^4 a^2-5 z^2 a^2-3 a^2+3 z^2+3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^5 z^{11}+a^3 z^{11}+3 a^6 z^{10}+4 a^4 z^{10}+a^2 z^{10}+4 a^7 z^9+a^5 z^9-3 a^3 z^9+4 a^8 z^8-8 a^6 z^8-14 a^4 z^8-2 a^2 z^8+3 a^9 z^7-10 a^7 z^7-7 a^5 z^7+9 a^3 z^7+3 a z^7+a^{10} z^6-10 a^8 z^6+13 a^6 z^6+27 a^4 z^6+3 a^2 z^6-9 a^9 z^5+10 a^7 z^5+14 a^5 z^5-9 a^3 z^5-4 a z^5-3 a^{10} z^4+5 a^8 z^4-13 a^6 z^4-20 a^4 z^4+6 a^2 z^4+5 z^4+6 a^9 z^3-9 a^7 z^3-8 a^5 z^3+7 a^3 z^3+2 a^{10} z^2-a^8 z^2+5 a^6 z^2+7 a^4 z^2-11 a^2 z^2-10 z^2+2 a^7 z+a^5 z-a^3 z-a^6+3 a^2+3 }[/math] |
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