K13n3372
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Polynomial invariants
| Jones polynomial | Data:K13n3372/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-12 t^2+31 t-41+31 t^{-1} -12 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3372/Conway Polynomial |
| Determinant | 131 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-2 z^2 a^6+z^6 a^4+z^4 a^4-a^4+z^6 a^2+2 z^4 a^2+3 z^2 a^2+2 a^2-z^4-z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+a^8 z^{10}+5 a^6 z^{10}+4 a^4 z^{10}-a^7 z^9+6 a^5 z^9+7 a^3 z^9-a^8 z^8-12 a^6 z^8-3 a^4 z^8+8 a^2 z^8+4 a^9 z^7+4 a^7 z^7-17 a^5 z^7-10 a^3 z^7+7 a z^7+a^{10} z^6+2 a^8 z^6+15 a^6 z^6-10 a^2 z^6+4 z^6-11 a^9 z^5-9 a^7 z^5+19 a^5 z^5+6 a^3 z^5-10 a z^5+z^5 a^{-1} -3 a^{10} z^4-8 a^8 z^4-10 a^6 z^4-a^2 z^4-6 z^4+6 a^9 z^3+3 a^7 z^3-8 a^5 z^3-2 a^3 z^3+2 a z^3-z^3 a^{-1} +2 a^{10} z^2+4 a^8 z^2+2 a^6 z^2+3 a^4 z^2+5 a^2 z^2+2 z^2+a^5 z+a^3 z-a^4-2 a^2 }[/math] |
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