K13n4257
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Polynomial invariants
| Jones polynomial | Data:K13n4257/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-6 t^2+13 t-17+13 t^{-1} -6 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4257/Conway Polynomial |
| Determinant | 63 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -6 z^6 a^{-4} +z^6 a^{-6} -z^4 a^{-2} -12 z^4 a^{-4} +4 z^4 a^{-6} +z^4-z^2 a^{-2} -7 z^2 a^{-4} +5 z^2 a^{-6} +3 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} +z^9 a^{-3} +3 z^9 a^{-5} +3 z^9 a^{-7} -z^8 a^{-2} -5 z^8 a^{-4} +z^8 a^{-6} +4 z^8 a^{-8} +z^8-9 z^7 a^{-1} -8 z^7 a^{-3} -7 z^7 a^{-5} -5 z^7 a^{-7} +3 z^7 a^{-9} +2 z^6 a^{-2} +17 z^6 a^{-4} -3 z^6 a^{-6} -10 z^6 a^{-8} +z^6 a^{-10} -7 z^6+22 z^5 a^{-1} +26 z^5 a^{-3} +10 z^5 a^{-5} -3 z^5 a^{-7} -9 z^5 a^{-9} +5 z^4 a^{-2} -20 z^4 a^{-4} -5 z^4 a^{-6} +4 z^4 a^{-8} -3 z^4 a^{-10} +13 z^4-16 z^3 a^{-1} -21 z^3 a^{-3} -7 z^3 a^{-5} +5 z^3 a^{-7} +7 z^3 a^{-9} -3 z^2 a^{-2} +11 z^2 a^{-4} +5 z^2 a^{-6} +2 z^2 a^{-10} -7 z^2+2 z a^{-1} +4 z a^{-3} -4 z a^{-7} -2 z a^{-9} +1 }[/math] |
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