K13n1751
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Polynomial invariants
| Jones polynomial | Data:K13n1751/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+15 t^2-28 t+35-28 t^{-1} +15 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1751/Conway Polynomial |
| Determinant | 133 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-z^6-3 a^4 z^4+9 a^2 z^4-z^4-3 a^4 z^2+5 a^2 z^2-2 z^2 a^{-2} +3 z^2-a^4-2 a^{-2} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^3 z^{11}+3 a z^{11}+8 a^4 z^{10}+13 a^2 z^{10}+5 z^{10}+8 a^5 z^9+a^3 z^9-5 a z^9+2 z^9 a^{-1} +4 a^6 z^8-29 a^4 z^8-53 a^2 z^8-20 z^8+a^7 z^7-30 a^5 z^7-36 a^3 z^7-8 a z^7-3 z^7 a^{-1} -13 a^6 z^6+30 a^4 z^6+76 a^2 z^6+3 z^6 a^{-2} +36 z^6-3 a^7 z^5+31 a^5 z^5+55 a^3 z^5+25 a z^5+4 z^5 a^{-1} +8 a^6 z^4-16 a^4 z^4-46 a^2 z^4+z^4 a^{-2} -21 z^4+a^7 z^3-14 a^5 z^3-28 a^3 z^3-13 a z^3+4 z^3 a^{-1} +4 z^3 a^{-3} -a^6 z^2+6 a^4 z^2+10 a^2 z^2-4 z^2 a^{-2} -z^2+3 a^5 z+4 a^3 z-a z-5 z a^{-1} -3 z a^{-3} -a^4+2 a^{-2} +4 }[/math] |
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