K13n4157
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Polynomial invariants
| Jones polynomial | Data:K13n4157/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+6 t^2-6 t+7-6 t^{-1} +6 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4157/Conway Polynomial |
| Determinant | 41 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +6 z^6 a^{-2} -z^6 a^{-4} -z^6+12 z^4 a^{-2} -4 z^4 a^{-4} -6 z^4+2 a^2 z^2+11 z^2 a^{-2} -4 z^2 a^{-4} -11 z^2+3 a^2+5 a^{-2} - a^{-4} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +3 z^9 a^{-3} +3 z^9 a^{-5} -6 z^8 a^{-2} -z^8 a^{-4} +3 z^8 a^{-6} -2 z^8+z^7 a^{-1} -12 z^7 a^{-3} -12 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6+19 z^6 a^{-2} -6 z^6 a^{-4} -13 z^6 a^{-6} +13 z^6-2 a z^5-2 z^5 a^{-1} +16 z^5 a^{-3} +12 z^5 a^{-5} -4 z^5 a^{-7} -6 a^2 z^4-33 z^4 a^{-2} +4 z^4 a^{-4} +15 z^4 a^{-6} -28 z^4+6 a z^3+z^3 a^{-1} -14 z^3 a^{-3} -5 z^3 a^{-5} +4 z^3 a^{-7} +9 a^2 z^2+22 z^2 a^{-2} +z^2 a^{-4} -4 z^2 a^{-6} +26 z^2-2 a z+4 z a^{-3} +2 z a^{-5} -3 a^2-5 a^{-2} - a^{-4} -6 }[/math] |
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