K13n4238
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Polynomial invariants
| Jones polynomial | Data:K13n4238/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+3 t^3-7 t^2+14 t-17+14 t^{-1} -7 t^{-2} +3 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4238/Conway Polynomial |
| Determinant | 67 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -6 z^6 a^{-2} +z^6-13 z^4 a^{-2} -z^4 a^{-4} +z^4 a^{-6} +4 z^4-11 z^2 a^{-2} -z^2 a^{-4} +3 z^2 a^{-6} +6 z^2-3 a^{-2} + a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +4 z^9 a^{-1} +4 z^9 a^{-3} +z^9 a^{-5} +z^9 a^{-7} +4 z^8 a^{-2} -3 z^8 a^{-4} -z^8 a^{-6} +z^8 a^{-8} +5 z^8+3 a z^7-10 z^7 a^{-1} -11 z^7 a^{-3} -7 z^7 a^{-5} -9 z^7 a^{-7} +a^2 z^6-19 z^6 a^{-2} +6 z^6 a^{-4} +2 z^6 a^{-6} -7 z^6 a^{-8} -15 z^6-8 a z^5+7 z^5 a^{-1} +14 z^5 a^{-3} +21 z^5 a^{-5} +22 z^5 a^{-7} -3 a^2 z^4+25 z^4 a^{-2} -z^4 a^{-4} +4 z^4 a^{-6} +13 z^4 a^{-8} +14 z^4+4 a z^3-6 z^3 a^{-1} -8 z^3 a^{-3} -15 z^3 a^{-5} -17 z^3 a^{-7} +2 a^2 z^2-17 z^2 a^{-2} +z^2 a^{-4} -z^2 a^{-6} -7 z^2 a^{-8} -10 z^2+z a^{-1} +2 z a^{-3} +4 z a^{-5} +3 z a^{-7} +3 a^{-2} - a^{-6} +3 }[/math] |
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