K12n647
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{14}+2 q^{13}-3 q^{12}+4 q^{11}-5 q^{10}+4 q^9-3 q^8+2 q^7+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^2+6 t-7+6 t^{-1} -3 t^{-2} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+8 z^6+17 z^4+10 z^2+1 }[/math] |
| Determinant | 23 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +8 z^6 a^{-8} +20 z^4 a^{-8} -2 z^4 a^{-10} -z^4 a^{-12} +18 z^2 a^{-8} -6 z^2 a^{-10} -2 z^2 a^{-12} +5 a^{-8} -4 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-14} +2 z^7 a^{-13} +2 z^7 a^{-15} -8 z^6 a^{-8} -2 z^6 a^{-10} +2 z^6 a^{-12} -2 z^6 a^{-14} +2 z^6 a^{-16} -2 z^5 a^{-9} -5 z^5 a^{-13} -6 z^5 a^{-15} +z^5 a^{-17} +20 z^4 a^{-8} +10 z^4 a^{-10} -3 z^4 a^{-12} +z^4 a^{-14} -6 z^4 a^{-16} +7 z^3 a^{-9} +5 z^3 a^{-11} +6 z^3 a^{-13} +5 z^3 a^{-15} -3 z^3 a^{-17} -18 z^2 a^{-8} -12 z^2 a^{-10} +3 z^2 a^{-12} +3 z^2 a^{-16} -5 z a^{-9} -4 z a^{-11} -2 z a^{-13} -2 z a^{-15} +z a^{-17} +5 a^{-8} +4 a^{-10} }[/math] |
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