K12n25
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^5-2 q^4+2 q^3-2 q^2+2 q-1+ q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^2+3 t-3+3 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^4-z^2+1 }[/math] |
| Determinant | 11 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-2} -3 z^2 a^{-2} +z^2 a^{-4} +z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+3 z^9 a^{-1} +2 z^9 a^{-3} -5 z^8 a^{-2} +z^8 a^{-4} -6 z^8-7 a z^7-20 z^7 a^{-1} -13 z^7 a^{-3} +3 z^6 a^{-2} -6 z^6 a^{-4} +9 z^6+15 a z^5+40 z^5 a^{-1} +25 z^5 a^{-3} -a^2 z^4+9 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4-a^3 z^3-14 a z^3-29 z^3 a^{-1} -16 z^3 a^{-3} -9 z^2 a^{-2} -5 z^2 a^{-4} -4 z^2+a^3 z+4 a z+6 z a^{-1} +3 z a^{-3} +2 a^{-2} + a^{-4} +2 }[/math] |
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