K13n4115
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Polynomial invariants
| Jones polynomial | Data:K13n4115/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+10 t^2-16 t+19-16 t^{-1} +10 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4115/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+5 a^2 z^6-3 a^4 z^4+8 a^2 z^4-z^4 a^{-2} +2 z^4-3 a^4 z^2+5 a^2 z^2-3 z^2 a^{-2} +5 z^2-2 a^4+2 a^2-2 a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+4 a^4 z^{10}+5 a^2 z^{10}+z^{10}+6 a^5 z^9+4 a^3 z^9-2 a z^9+4 a^6 z^8-9 a^4 z^8-20 a^2 z^8+z^8 a^{-2} -6 z^8+a^7 z^7-19 a^5 z^7-24 a^3 z^7-7 a z^7-2 z^7 a^{-1} +z^7 a^{-3} -13 a^6 z^6-5 a^4 z^6+24 a^2 z^6-8 z^6 a^{-2} +8 z^6-3 a^7 z^5+10 a^5 z^5+25 a^3 z^5+20 a z^5+2 z^5 a^{-1} -6 z^5 a^{-3} +10 a^6 z^4+6 a^4 z^4-11 a^2 z^4+13 z^4 a^{-2} +6 z^4+3 a^7 z^3-13 a^3 z^3-11 a z^3+7 z^3 a^{-1} +8 z^3 a^{-3} -2 a^6 z^2+2 a^4 z^2+2 a^2 z^2-6 z^2 a^{-2} -8 z^2-a^7 z+2 a^5 z+5 a^3 z+a z-4 z a^{-1} -3 z a^{-3} -2 a^4-2 a^2+2 a^{-2} +3 }[/math] |
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