K12n237
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-2 q^{11}+4 q^{10}-8 q^9+10 q^8-12 q^7+12 q^6-10 q^5+8 q^4-4 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+9 t^2-16 t+19-16 t^{-1} +9 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-3 z^4+2 z^2+1 }[/math] |
| Determinant | 73 |
| 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} -4 z^4 a^{-8} +z^4 a^{-10} +5 z^2 a^{-4} +z^2 a^{-6} -7 z^2 a^{-8} +3 z^2 a^{-10} +2 a^{-4} +2 a^{-6} -5 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +2 z^9 a^{-7} +4 z^9 a^{-9} +2 z^9 a^{-11} +2 z^8 a^{-6} -z^8 a^{-8} -z^8 a^{-10} +2 z^8 a^{-12} +z^7 a^{-5} -4 z^7 a^{-7} -12 z^7 a^{-9} -5 z^7 a^{-11} +2 z^7 a^{-13} -2 z^6 a^{-6} +7 z^6 a^{-8} +4 z^6 a^{-10} -4 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-5} +10 z^5 a^{-7} +24 z^5 a^{-9} +8 z^5 a^{-11} -7 z^5 a^{-13} +3 z^4 a^{-4} +z^4 a^{-6} -14 z^4 a^{-8} -8 z^4 a^{-10} -4 z^4 a^{-14} -2 z^3 a^{-5} -10 z^3 a^{-7} -24 z^3 a^{-9} -9 z^3 a^{-11} +7 z^3 a^{-13} -6 z^2 a^{-4} +2 z^2 a^{-6} +15 z^2 a^{-8} +4 z^2 a^{-10} +z^2 a^{-12} +4 z^2 a^{-14} -z a^{-5} +5 z a^{-7} +9 z a^{-9} +z a^{-11} -2 z a^{-13} +2 a^{-4} -2 a^{-6} -5 a^{-8} -2 a^{-10} }[/math] |
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