K13n2199
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Polynomial invariants
| Jones polynomial | Data:K13n2199/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:K13n2199/Conway Polynomial |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-a^4 z^6+6 a^2 z^6-z^6-4 a^4 z^4+13 a^2 z^4-3 z^4-5 a^4 z^2+11 a^2 z^2-z^2 a^{-2} -z^2-2 a^4+2 a^2-2 a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+a z^{11}+3 a^4 z^{10}+5 a^2 z^{10}+2 z^{10}+4 a^5 z^9+2 a^3 z^9-a z^9+z^9 a^{-1} +3 a^6 z^8-9 a^4 z^8-22 a^2 z^8-10 z^8+a^7 z^7-15 a^5 z^7-20 a^3 z^7-8 a z^7-4 z^7 a^{-1} -12 a^6 z^6+4 a^4 z^6+37 a^2 z^6+z^6 a^{-2} +22 z^6-4 a^7 z^5+14 a^5 z^5+32 a^3 z^5+22 a z^5+8 z^5 a^{-1} +12 a^6 z^4-2 a^4 z^4-32 a^2 z^4-18 z^4+4 a^7 z^3-6 a^5 z^3-23 a^3 z^3-15 a z^3+2 z^3 a^{-3} -3 a^6 z^2+4 a^4 z^2+14 a^2 z^2-z^2 a^{-2} +6 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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