K12n725
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{14}-2 q^{13}+q^{12}-2 q^{11}+q^{10}+q^7+q^5 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^5-t^4+t^2-2 t+3-2 t^{-1} + t^{-2} - t^{-4} + t^{-5} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^{10}+9 z^8+27 z^6+31 z^4+11 z^2+1 }[/math] |
| Determinant | 5 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-10} +10 z^8 a^{-10} -z^8 a^{-12} +36 z^6 a^{-10} -9 z^6 a^{-12} +57 z^4 a^{-10} -27 z^4 a^{-12} +z^4 a^{-14} +39 z^2 a^{-10} -32 z^2 a^{-12} +4 z^2 a^{-14} +10 a^{-10} -13 a^{-12} +4 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^9 a^{-11} +z^9 a^{-13} -10 z^8 a^{-10} -10 z^8 a^{-12} -9 z^7 a^{-11} -9 z^7 a^{-13} +36 z^6 a^{-10} +36 z^6 a^{-12} +27 z^5 a^{-11} +27 z^5 a^{-13} -57 z^4 a^{-10} -59 z^4 a^{-12} -z^4 a^{-14} +z^4 a^{-16} -32 z^3 a^{-11} -32 z^3 a^{-13} +2 z^3 a^{-15} +2 z^3 a^{-17} +39 z^2 a^{-10} +45 z^2 a^{-12} +5 z^2 a^{-14} +z^2 a^{-18} +13 z a^{-11} +13 z a^{-13} -2 z a^{-15} -2 z a^{-17} -10 a^{-10} -13 a^{-12} -4 a^{-14} }[/math] |
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