K13n3352
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Polynomial invariants
| Jones polynomial | Data:K13n3352/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-12 t^2+20 t-23+20 t^{-1} -12 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3352/Conway Polynomial |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -5 z^6 a^{-2} +z^6 a^{-4} +z^6-9 z^4 a^{-2} +4 z^4 a^{-4} +3 z^4-8 z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} +3 z^2-4 a^{-2} +5 a^{-4} -2 a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +5 z^9 a^{-1} +6 z^9 a^{-3} +z^9 a^{-5} +11 z^8 a^{-2} +4 z^8 a^{-4} +7 z^8+4 a z^7-5 z^7 a^{-1} -6 z^7 a^{-3} +3 z^7 a^{-5} +a^2 z^6-32 z^6 a^{-2} -11 z^6 a^{-4} +3 z^6 a^{-6} -17 z^6-9 a z^5-11 z^5 a^{-1} -7 z^5 a^{-3} -5 z^5 a^{-5} -2 a^2 z^4+27 z^4 a^{-2} +20 z^4 a^{-4} +5 z^4 a^{-6} +10 z^4+5 a z^3+9 z^3 a^{-1} +10 z^3 a^{-3} +11 z^3 a^{-5} +5 z^3 a^{-7} +a^2 z^2-15 z^2 a^{-2} -17 z^2 a^{-4} -7 z^2 a^{-6} -4 z^2-a z-2 z a^{-1} -3 z a^{-3} -5 z a^{-5} -3 z a^{-7} +4 a^{-2} +5 a^{-4} +2 a^{-6} +2 }[/math] |
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