K12n426
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-2 q^{12}+2 q^{11}-4 q^{10}+3 q^9-2 q^8+2 q^7+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^2+4 t-3+4 t^{-1} -3 t^{-2} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+8 z^6+17 z^4+8 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} -2 z^4 a^{-10} -z^4 a^{-12} +18 z^2 a^{-8} -7 z^2 a^{-10} -3 z^2 a^{-12} +6 a^{-8} -5 a^{-10} - a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^8 a^{-8} -z^8 a^{-12} -z^7 a^{-11} -z^7 a^{-13} -8 z^6 a^{-8} -2 z^6 a^{-10} +7 z^6 a^{-12} +z^6 a^{-14} -2 z^5 a^{-9} +6 z^5 a^{-11} +10 z^5 a^{-13} +2 z^5 a^{-15} +20 z^4 a^{-8} +11 z^4 a^{-10} -10 z^4 a^{-12} +z^4 a^{-16} +8 z^3 a^{-9} -5 z^3 a^{-11} -18 z^3 a^{-13} -5 z^3 a^{-15} -18 z^2 a^{-8} -14 z^2 a^{-10} +5 z^2 a^{-12} -z^2 a^{-14} -2 z^2 a^{-16} -6 z a^{-9} +10 z a^{-13} +4 z a^{-15} +6 a^{-8} +5 a^{-10} - a^{-12} - a^{-14} }[/math] |
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