K13n342
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Polynomial invariants
| Jones polynomial | Data:K13n342/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+19 t^2-35 t+43-35 t^{-1} +19 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n342/Conway Polynomial |
| Determinant | 165 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8-a^2 z^6-z^6 a^{-2} +4 z^6-2 z^4 a^{-2} +5 z^4-2 a^4 z^2+6 a^2 z^2-z^2 a^{-2} -3 a^4+6 a^2-2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^2 z^{10}+3 z^{10}+6 a^3 z^9+17 a z^9+11 z^9 a^{-1} +3 a^4 z^8+9 a^2 z^8+16 z^8 a^{-2} +22 z^8-11 a^3 z^7-27 a z^7-4 z^7 a^{-1} +12 z^7 a^{-3} -23 a^2 z^6-24 z^6 a^{-2} +5 z^6 a^{-4} -52 z^6+6 a^5 z^5+20 a^3 z^5+14 a z^5-16 z^5 a^{-1} -15 z^5 a^{-3} +z^5 a^{-5} -6 a^4 z^4+10 a^2 z^4+11 z^4 a^{-2} -3 z^4 a^{-4} +30 z^4-12 a^5 z^3-26 a^3 z^3-14 a z^3+5 z^3 a^{-1} +5 z^3 a^{-3} +6 a^4 z^2+6 a^2 z^2-3 z^2 a^{-2} -3 z^2+6 a^5 z+12 a^3 z+9 a z+3 z a^{-1} -3 a^4-6 a^2-2 }[/math] |
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