K13n2595
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Polynomial invariants
| Jones polynomial | Data:K13n2595/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+19 t^2-33 t+39-33 t^{-1} +19 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n2595/Conway Polynomial |
| Determinant | 157 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -2 z^6 a^{-6} -3 z^4 a^{-2} +11 z^4 a^{-4} -6 z^4 a^{-6} +z^4 a^{-8} -3 z^2 a^{-2} +12 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} - a^{-2} +4 a^{-4} - a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +7 z^{10} a^{-6} +3 z^{10} a^{-8} +6 z^9 a^{-3} +13 z^9 a^{-5} +10 z^9 a^{-7} +3 z^9 a^{-9} +4 z^8 a^{-2} +2 z^8 a^{-4} -z^8 a^{-6} +2 z^8 a^{-8} +z^8 a^{-10} +z^7 a^{-1} -15 z^7 a^{-3} -38 z^7 a^{-5} -22 z^7 a^{-7} -13 z^6 a^{-2} -36 z^6 a^{-4} -36 z^6 a^{-6} -7 z^6 a^{-8} +6 z^6 a^{-10} -3 z^5 a^{-1} +5 z^5 a^{-3} +19 z^5 a^{-5} +10 z^5 a^{-7} +4 z^5 a^{-9} +5 z^5 a^{-11} +14 z^4 a^{-2} +44 z^4 a^{-4} +40 z^4 a^{-6} +5 z^4 a^{-8} -4 z^4 a^{-10} +z^4 a^{-12} +3 z^3 a^{-1} +6 z^3 a^{-3} +5 z^3 a^{-5} -5 z^3 a^{-9} -3 z^3 a^{-11} -6 z^2 a^{-2} -21 z^2 a^{-4} -14 z^2 a^{-6} +z^2 a^{-8} -z a^{-1} -3 z a^{-3} -4 z a^{-5} +z a^{-7} +2 z a^{-9} -z a^{-11} + a^{-2} +4 a^{-4} + a^{-6} - a^{-8} }[/math] |
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