K13n1665
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Polynomial invariants
| Jones polynomial | Data:K13n1665/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-15 t^2+41 t-55+41 t^{-1} -15 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1665/Conway Polynomial |
| Determinant | 171 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^2 a^8+2 a^8-3 z^4 a^6-5 z^2 a^6-4 a^6+z^6 a^4+a^4+z^6 a^2+z^4 a^2+2 z^2 a^2+2 a^2-z^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^7 z^{11}+a^5 z^{11}+2 a^8 z^{10}+7 a^6 z^{10}+5 a^4 z^{10}+a^9 z^9+5 a^7 z^9+15 a^5 z^9+11 a^3 z^9-3 a^8 z^8-8 a^6 z^8+9 a^4 z^8+14 a^2 z^8+a^9 z^7-15 a^7 z^7-37 a^5 z^7-10 a^3 z^7+11 a z^7+3 a^{10} z^6+4 a^8 z^6-8 a^6 z^6-34 a^4 z^6-20 a^2 z^6+5 z^6-9 a^9 z^5+12 a^7 z^5+31 a^5 z^5-5 a^3 z^5-14 a z^5+z^5 a^{-1} -10 a^{10} z^4-9 a^8 z^4+18 a^6 z^4+26 a^4 z^4+5 a^2 z^4-4 z^4+10 a^9 z^3+a^7 z^3-9 a^5 z^3+2 a^3 z^3+2 a z^3+8 a^{10} z^2+3 a^8 z^2-11 a^6 z^2-4 a^4 z^2+2 a^2 z^2-5 a^9 z-7 a^7 z+2 a^3 z+2 a^8+4 a^6+a^4-2 a^2 }[/math] |
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