K12n850
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{14}+q^{13}-2 q^{12}+3 q^{11}-3 q^{10}+3 q^9-2 q^8+q^7+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^2+4 t-5+4 t^{-1} -2 t^{-2} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+8 z^6+18 z^4+12 z^2+1 }[/math] |
| Determinant | 15 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +8 z^6 a^{-8} +20 z^4 a^{-8} -z^4 a^{-10} -z^4 a^{-12} +17 z^2 a^{-8} -2 z^2 a^{-10} -3 z^2 a^{-12} +3 a^{-8} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-14} +z^7 a^{-13} +z^7 a^{-15} -8 z^6 a^{-8} -z^6 a^{-10} +z^6 a^{-12} -5 z^6 a^{-14} +z^6 a^{-16} -z^5 a^{-9} -3 z^5 a^{-13} -3 z^5 a^{-15} +z^5 a^{-17} +20 z^4 a^{-8} +4 z^4 a^{-10} -3 z^4 a^{-12} +10 z^4 a^{-14} -3 z^4 a^{-16} +3 z^3 a^{-9} +z^3 a^{-11} +4 z^3 a^{-13} +2 z^3 a^{-15} -4 z^3 a^{-17} -17 z^2 a^{-8} -3 z^2 a^{-10} +6 z^2 a^{-12} -7 z^2 a^{-14} +z^2 a^{-16} -2 z a^{-9} +z a^{-11} -z a^{-13} -z a^{-15} +3 z a^{-17} +3 a^{-8} -2 a^{-12} }[/math] |
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