K13n3461
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Polynomial invariants
| Jones polynomial | Data:K13n3461/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-23 t^2+48 t-61+48 t^{-1} -23 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3461/Conway Polynomial |
| Determinant | 219 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^8-z^4 a^6+2 z^6 a^4+5 z^4 a^4+6 z^2 a^4+3 a^4-z^8 a^2-4 z^6 a^2-7 z^4 a^2-5 z^2 a^2-2 a^2+z^6+2 z^4+2 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^5 z^{11}+2 a^3 z^{11}+4 a^6 z^{10}+13 a^4 z^{10}+9 a^2 z^{10}+3 a^7 z^9+11 a^5 z^9+23 a^3 z^9+15 a z^9+a^8 z^8+a^6 z^8-11 a^4 z^8+a^2 z^8+12 z^8+a^7 z^7-21 a^5 z^7-55 a^3 z^7-28 a z^7+5 z^7 a^{-1} +4 a^8 z^6-4 a^6 z^6-17 a^4 z^6-33 a^2 z^6+z^6 a^{-2} -23 z^6+3 a^9 z^5+12 a^5 z^5+36 a^3 z^5+14 a z^5-7 z^5 a^{-1} -7 a^8 z^4+6 a^6 z^4+27 a^4 z^4+28 a^2 z^4-z^4 a^{-2} +13 z^4-6 a^9 z^3-4 a^7 z^3+a^5 z^3-8 a^3 z^3-5 a z^3+2 z^3 a^{-1} +3 a^8 z^2-4 a^6 z^2-14 a^4 z^2-11 a^2 z^2-4 z^2+3 a^9 z+2 a^7 z-a^5 z+a^3 z+a z-a^8+3 a^4+2 a^2+1 }[/math] |
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