K12n553
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^3+5 q^2-7 q+11-14 q^{-1} +12 q^{-2} -12 q^{-3} +10 q^{-4} -5 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^2-20 t+33-20 t^{-1} +4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^4-4 z^2+1 }[/math] |
| Determinant | 81 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6+z^4 a^4+2 a^4+2 z^4 a^2-2 a^2+z^4-2 z^2-1-z^2 a^{-2} +2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^4 z^{10}+a^2 z^{10}+3 a^5 z^9+7 a^3 z^9+4 a z^9+3 a^6 z^8+6 a^4 z^8+8 a^2 z^8+5 z^8+a^7 z^7-9 a^5 z^7-22 a^3 z^7-10 a z^7+2 z^7 a^{-1} -13 a^6 z^6-35 a^4 z^6-38 a^2 z^6-16 z^6-4 a^7 z^5+5 a^5 z^5+23 a^3 z^5+14 a z^5+18 a^6 z^4+50 a^4 z^4+55 a^2 z^4+5 z^4 a^{-2} +28 z^4+4 a^7 z^3-2 a^5 z^3-23 a^3 z^3-19 a z^3-z^3 a^{-1} +z^3 a^{-3} -9 a^6 z^2-30 a^4 z^2-34 a^2 z^2-3 z^2 a^{-2} -16 z^2+4 a^5 z+16 a^3 z+16 a z+4 z a^{-1} +2 a^4+2 a^2-2 a^{-2} -1 }[/math] |
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