K12n638
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{13}+q^{12}-q^{10}+2 q^9-3 q^8+3 q^7-3 q^6+3 q^5-q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-3 t^2+2 t-1+2 t^{-1} -3 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+9 z^4+8 z^2+1 }[/math] |
| Determinant | 15 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +z^6 a^{-8} +5 z^4 a^{-6} +4 z^4 a^{-8} +7 z^2 a^{-6} +2 z^2 a^{-8} -z^2 a^{-12} +3 a^{-6} -2 a^{-8} + a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-14} +z^7 a^{-7} +2 z^7 a^{-9} +z^7 a^{-15} +z^6 a^{-6} -3 z^6 a^{-8} +2 z^6 a^{-10} -z^6 a^{-12} -7 z^6 a^{-14} -3 z^5 a^{-7} -6 z^5 a^{-9} +z^5 a^{-11} -2 z^5 a^{-13} -6 z^5 a^{-15} -5 z^4 a^{-6} -5 z^4 a^{-10} +3 z^4 a^{-12} +13 z^4 a^{-14} +2 z^3 a^{-9} -2 z^3 a^{-11} +5 z^3 a^{-13} +9 z^3 a^{-15} +7 z^2 a^{-6} +3 z^2 a^{-8} +2 z^2 a^{-10} -6 z^2 a^{-14} +2 z a^{-7} +z a^{-9} +z a^{-11} -z a^{-13} -3 z a^{-15} -3 a^{-6} -2 a^{-8} - a^{-10} - a^{-12} }[/math] |
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