K12n851
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{13}+q^{12}-2 q^{11}+2 q^{10}-q^9+q^8+q^5-q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-t^2-3 t+5-3 t^{-1} - t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+11 z^4+11 z^2+1 }[/math] |
| Determinant | 5 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +z^6 a^{-8} +5 z^4 a^{-6} +6 z^4 a^{-8} +5 z^2 a^{-6} +9 z^2 a^{-8} -2 z^2 a^{-10} -z^2 a^{-12} +4 a^{-8} -2 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^{-13} +z^7 a^{-15} +z^6 a^{-6} -7 z^6 a^{-8} -z^6 a^{-10} +2 z^6 a^{-12} -5 z^6 a^{-14} -5 z^5 a^{-7} -z^5 a^{-9} -10 z^5 a^{-13} -6 z^5 a^{-15} -5 z^4 a^{-6} +15 z^4 a^{-8} +4 z^4 a^{-10} -10 z^4 a^{-12} +6 z^4 a^{-14} +5 z^3 a^{-7} +2 z^3 a^{-9} -2 z^3 a^{-11} +12 z^3 a^{-13} +11 z^3 a^{-15} +5 z^2 a^{-6} -13 z^2 a^{-8} -7 z^2 a^{-10} +10 z^2 a^{-12} -z^2 a^{-14} -2 z a^{-9} +z a^{-11} -3 z a^{-13} -6 z a^{-15} +4 a^{-8} +2 a^{-10} - a^{-12} }[/math] |
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