K12n408
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^3+6 q^2-10 q+14-16 q^{-1} +17 q^{-2} -14 q^{-3} +11 q^{-4} -7 q^{-5} +3 q^{-6} - q^{-7} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+9 t^2-24 t+33-24 t^{-1} +9 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+3 z^4+3 z^2+1 }[/math] |
| Determinant | 101 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^2 a^6-a^6+2 z^4 a^4+3 z^2 a^4+a^4-z^6 a^2-2 z^4 a^2-2 z^2 a^2+3 z^4+5 z^2+2-2 z^2 a^{-2} - a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{10}+2 a^2 z^{10}+4 a^5 z^9+10 a^3 z^9+6 a z^9+3 a^6 z^8+2 a^4 z^8+6 a^2 z^8+7 z^8+a^7 z^7-12 a^5 z^7-30 a^3 z^7-13 a z^7+4 z^7 a^{-1} -11 a^6 z^6-23 a^4 z^6-28 a^2 z^6+z^6 a^{-2} -15 z^6-4 a^7 z^5+7 a^5 z^5+27 a^3 z^5+15 a z^5-z^5 a^{-1} +12 a^6 z^4+25 a^4 z^4+26 a^2 z^4+6 z^4 a^{-2} +19 z^4+5 a^7 z^3+a^5 z^3-15 a^3 z^3-14 a z^3+3 z^3 a^{-3} -5 a^6 z^2-8 a^4 z^2-9 a^2 z^2-5 z^2 a^{-2} -11 z^2-2 a^7 z+5 a^3 z+4 a z-z a^{-3} +a^6+a^4+ a^{-2} +2 }[/math] |
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