K12n464
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+3 q^7-4 q^6+4 q^5-4 q^4+3 q^3-q^2+2-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^2+4 t-5+4 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-z^4 }[/math] |
| Determinant | 15 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} +z^6 a^{-4} -6 z^4 a^{-2} +5 z^4 a^{-4} -z^4 a^{-6} +z^4-9 z^2 a^{-2} +8 z^2 a^{-4} -2 z^2 a^{-6} +3 z^2-3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +3 z^9 a^{-3} +z^9 a^{-5} -5 z^8 a^{-2} -5 z^8 a^{-4} +z^8 a^{-6} +z^8-13 z^7 a^{-1} -21 z^7 a^{-3} -5 z^7 a^{-5} +3 z^7 a^{-7} -z^6 a^{-2} -2 z^6 a^{-6} +3 z^6 a^{-8} -6 z^6+23 z^5 a^{-1} +38 z^5 a^{-3} +5 z^5 a^{-5} -9 z^5 a^{-7} +z^5 a^{-9} +21 z^4 a^{-2} +18 z^4 a^{-4} -z^4 a^{-6} -8 z^4 a^{-8} +10 z^4-13 z^3 a^{-1} -17 z^3 a^{-3} +2 z^3 a^{-5} +4 z^3 a^{-7} -2 z^3 a^{-9} -18 z^2 a^{-2} -14 z^2 a^{-4} -z^2 a^{-6} +2 z^2 a^{-8} -7 z^2+z a^{-1} +z a^{-3} -z a^{-5} -z a^{-7} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
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