K12n853
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^4-6 q^3+12 q^2-17 q+20-21 q^{-1} +19 q^{-2} -14 q^{-3} +9 q^{-4} -4 q^{-5} + q^{-6} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+13 t^2-28 t+37-28 t^{-1} +13 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-5 z^4-3 z^2+1 }[/math] |
| Determinant | 125 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^2 z^6-2 z^6+a^4 z^4-a^2 z^4+2 z^4 a^{-2} -7 z^4+a^4 z^2+2 a^2 z^2+4 z^2 a^{-2} -10 z^2+3 a^2+3 a^{-2} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{10}+2 z^{10}+6 a^3 z^9+10 a z^9+4 z^9 a^{-1} +7 a^4 z^8+9 a^2 z^8+3 z^8 a^{-2} +5 z^8+4 a^5 z^7-8 a^3 z^7-14 a z^7-z^7 a^{-1} +z^7 a^{-3} +a^6 z^6-16 a^4 z^6-23 a^2 z^6+3 z^6 a^{-2} -3 z^6-9 a^5 z^5-2 a^3 z^5+2 a z^5+5 z^5 a^{-3} -2 a^6 z^4+10 a^4 z^4+6 a^2 z^4-7 z^4 a^{-2} +3 z^4 a^{-4} -16 z^4+5 a^5 z^3-5 z^3 a^{-3} +a^6 z^2-2 a^4 z^2+6 a^2 z^2+7 z^2 a^{-2} -3 z^2 a^{-4} +19 z^2+a^3 z+z a^{-3} -3 a^2-3 a^{-2} -5 }[/math] |
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