K12n81
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-4 q^{11}+8 q^{10}-12 q^9+15 q^8-17 q^7+16 q^6-13 q^5+9 q^4-4 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+11 t^2-23 t+29-23 t^{-1} +11 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-z^4+3 z^2+1 }[/math] |
| Determinant | 101 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -2 z^4 a^{-6} -2 z^4 a^{-8} +z^4 a^{-10} +5 z^2 a^{-4} -2 z^2 a^{-6} -z^2 a^{-8} +z^2 a^{-10} +3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +2 z^9 a^{-7} +6 z^9 a^{-9} +4 z^9 a^{-11} +2 z^8 a^{-6} +5 z^8 a^{-8} +9 z^8 a^{-10} +6 z^8 a^{-12} +z^7 a^{-5} +z^7 a^{-7} -6 z^7 a^{-9} -2 z^7 a^{-11} +4 z^7 a^{-13} -z^6 a^{-6} -10 z^6 a^{-8} -24 z^6 a^{-10} -14 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-5} -2 z^5 a^{-7} -7 z^5 a^{-9} -14 z^5 a^{-11} -10 z^5 a^{-13} +3 z^4 a^{-4} +5 z^4 a^{-6} +8 z^4 a^{-8} +14 z^4 a^{-10} +6 z^4 a^{-12} -2 z^4 a^{-14} +4 z^3 a^{-7} +10 z^3 a^{-9} +12 z^3 a^{-11} +6 z^3 a^{-13} -6 z^2 a^{-4} -6 z^2 a^{-6} -z^2 a^{-8} -2 z^2 a^{-10} +z^2 a^{-14} -2 z a^{-5} -2 z a^{-7} -2 z a^{-9} -3 z a^{-11} -z a^{-13} +3 a^{-4} +2 a^{-6} }[/math] |
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