K12n722
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-2 q^{12}+4 q^{11}-7 q^{10}+8 q^9-9 q^8+8 q^7-7 q^6+5 q^5-2 q^4+2 q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-7 t^2+10 t-11+10 t^{-1} -7 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^8-4 z^6-3 z^4+2 z^2+1 }[/math] |
| Determinant | 55 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -7 z^6 a^{-8} +z^6 a^{-10} +11 z^4 a^{-6} -19 z^4 a^{-8} +5 z^4 a^{-10} +18 z^2 a^{-6} -24 z^2 a^{-8} +8 z^2 a^{-10} +8 a^{-6} -11 a^{-8} +4 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +3 z^9 a^{-9} +2 z^9 a^{-11} -6 z^8 a^{-8} -3 z^8 a^{-10} +3 z^8 a^{-12} -5 z^7 a^{-7} -14 z^7 a^{-9} -5 z^7 a^{-11} +4 z^7 a^{-13} +3 z^6 a^{-6} +21 z^6 a^{-8} +8 z^6 a^{-10} -7 z^6 a^{-12} +3 z^6 a^{-14} +12 z^5 a^{-7} +32 z^5 a^{-9} +7 z^5 a^{-11} -11 z^5 a^{-13} +2 z^5 a^{-15} -15 z^4 a^{-6} -41 z^4 a^{-8} -12 z^4 a^{-10} +8 z^4 a^{-12} -5 z^4 a^{-14} +z^4 a^{-16} -18 z^3 a^{-7} -39 z^3 a^{-9} -3 z^3 a^{-11} +15 z^3 a^{-13} -3 z^3 a^{-15} +22 z^2 a^{-6} +34 z^2 a^{-8} +7 z^2 a^{-10} +3 z^2 a^{-14} -2 z^2 a^{-16} +10 z a^{-7} +14 z a^{-9} -4 z a^{-13} -8 a^{-6} -11 a^{-8} -4 a^{-10} }[/math] |
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