K12n614
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+4 q^6-7 q^5+10 q^4-12 q^3+12 q^2-11 q+9-5 q^{-1} +2 q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-17 t+25-17 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-2 z^2+1 }[/math] |
| Determinant | 73 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -3 z^4 a^{-2} +2 z^4 a^{-4} +z^4-4 z^2 a^{-2} +3 z^2 a^{-4} -z^2 a^{-6} +a^2- a^{-2} + a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +4 z^9 a^{-1} +9 z^9 a^{-3} +5 z^9 a^{-5} -z^8 a^{-2} +z^8 a^{-4} +4 z^8 a^{-6} +2 z^8-16 z^7 a^{-1} -35 z^7 a^{-3} -18 z^7 a^{-5} +z^7 a^{-7} -18 z^6 a^{-2} -26 z^6 a^{-4} -15 z^6 a^{-6} -7 z^6+a z^5+22 z^5 a^{-1} +39 z^5 a^{-3} +15 z^5 a^{-5} -3 z^5 a^{-7} +29 z^4 a^{-2} +32 z^4 a^{-4} +14 z^4 a^{-6} +11 z^4+a z^3-10 z^3 a^{-1} -17 z^3 a^{-3} -4 z^3 a^{-5} +2 z^3 a^{-7} +a^2 z^2-13 z^2 a^{-2} -12 z^2 a^{-4} -3 z^2 a^{-6} -3 z^2+2 z a^{-1} +2 z a^{-3} -a^2+ a^{-2} + a^{-4} }[/math] |
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