K12n46
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^8-2 q^7+3 q^6-5 q^5+6 q^4-6 q^3+6 q^2-5 q+4-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2-10 t+17-10 t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4-2 z^2+1 }[/math] |
| Determinant | 41 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-2} +z^4 a^{-4} +z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} -2 z^2+a^2+ a^{-2} + a^{-4} -2 a^{-6} + a^{-8} -1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +2 z^9 a^{-3} +4 z^9 a^{-5} +2 z^9 a^{-7} +2 z^8 a^{-2} -2 z^8 a^{-4} -3 z^8 a^{-6} +z^8 a^{-8} +2 z^7 a^{-1} -7 z^7 a^{-3} -21 z^7 a^{-5} -12 z^7 a^{-7} -5 z^6 a^{-2} -4 z^6 a^{-4} -4 z^6 a^{-6} -6 z^6 a^{-8} +z^6-6 z^5 a^{-1} +7 z^5 a^{-3} +36 z^5 a^{-5} +23 z^5 a^{-7} +7 z^4 a^{-4} +16 z^4 a^{-6} +11 z^4 a^{-8} -2 z^4+2 a z^3+6 z^3 a^{-1} -7 z^3 a^{-3} -27 z^3 a^{-5} -16 z^3 a^{-7} +a^2 z^2+3 z^2 a^{-2} -5 z^2 a^{-4} -11 z^2 a^{-6} -6 z^2 a^{-8} +4 z^2-a z-z a^{-1} +3 z a^{-3} +7 z a^{-5} +4 z a^{-7} -a^2- a^{-2} + a^{-4} +2 a^{-6} + a^{-8} -1 }[/math] |
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