K12n854
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -3 q^8+8 q^7-14 q^6+20 q^5-23 q^4+24 q^3-21 q^2+16 q-9+4 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-14 t^2+33 t-43+33 t^{-1} -14 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+4 z^4+4 z^2+1 }[/math] |
| Determinant | 143 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^4 a^{-2} +6 z^4 a^{-4} -2 z^4 a^{-6} -z^4+7 z^2 a^{-4} -2 z^2 a^{-6} -z^2+2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-4} +3 z^{10} a^{-6} +9 z^9 a^{-3} +15 z^9 a^{-5} +6 z^9 a^{-7} +11 z^8 a^{-2} +13 z^8 a^{-4} +5 z^8 a^{-6} +3 z^8 a^{-8} +8 z^7 a^{-1} -11 z^7 a^{-3} -32 z^7 a^{-5} -13 z^7 a^{-7} -19 z^6 a^{-2} -43 z^6 a^{-4} -20 z^6 a^{-6} +4 z^6+a z^5-11 z^5 a^{-1} +24 z^5 a^{-5} +18 z^5 a^{-7} +6 z^5 a^{-9} +14 z^4 a^{-2} +44 z^4 a^{-4} +16 z^4 a^{-6} -9 z^4 a^{-8} -5 z^4-a z^3+4 z^3 a^{-1} +7 z^3 a^{-3} -6 z^3 a^{-5} -20 z^3 a^{-7} -12 z^3 a^{-9} -5 z^2 a^{-2} -16 z^2 a^{-4} -5 z^2 a^{-6} +5 z^2 a^{-8} +z^2-z a^{-1} -2 z a^{-3} +6 z a^{-7} +5 z a^{-9} +2 a^{-4} - a^{-8} }[/math] |
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