K12n730
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^8+4 q^7-6 q^6+8 q^5-8 q^4+8 q^3-6 q^2+4 q-1 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+11 t-15+11 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4+4 z^2+1 }[/math] |
| Determinant | 47 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -z^4 a^{-2} +4 z^4 a^{-4} -z^4 a^{-6} -z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +2 a^{-4} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-5} +z^9 a^{-7} +3 z^8 a^{-4} +4 z^8 a^{-6} +z^8 a^{-8} +2 z^7 a^{-3} +z^7 a^{-5} -z^7 a^{-7} -10 z^6 a^{-4} -10 z^6 a^{-6} -4 z^5 a^{-3} -6 z^5 a^{-5} +z^5 a^{-7} +3 z^5 a^{-9} +4 z^4 a^{-2} +18 z^4 a^{-4} +8 z^4 a^{-6} -6 z^4 a^{-8} +z^3 a^{-1} +8 z^3 a^{-3} +8 z^3 a^{-5} -7 z^3 a^{-7} -8 z^3 a^{-9} -3 z^2 a^{-2} -10 z^2 a^{-4} -3 z^2 a^{-6} +4 z^2 a^{-8} -z a^{-1} -3 z a^{-3} -3 z a^{-5} +3 z a^{-7} +4 z a^{-9} +2 a^{-4} - a^{-8} }[/math] |
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