K12n474
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{13}+q^{12}-2 q^{11}+2 q^{10}-2 q^9+3 q^8-2 q^7+2 q^6-q^5+q^4 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-3 t^3+2 t^2-t+1- t^{-1} +2 t^{-2} -3 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^8+13 z^6+24 z^4+12 z^2+1 }[/math] |
| Determinant | 17 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +z^8 a^{-10} +7 z^6 a^{-8} +7 z^6 a^{-10} -z^6 a^{-12} +15 z^4 a^{-8} +16 z^4 a^{-10} -7 z^4 a^{-12} +10 z^2 a^{-8} +15 z^2 a^{-10} -14 z^2 a^{-12} +z^2 a^{-14} + a^{-8} +6 a^{-10} -8 a^{-12} +2 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +z^9 a^{-9} +2 z^9 a^{-11} +z^9 a^{-13} +z^8 a^{-8} -7 z^8 a^{-10} -8 z^8 a^{-12} -6 z^7 a^{-9} -13 z^7 a^{-11} -7 z^7 a^{-13} -7 z^6 a^{-8} +18 z^6 a^{-10} +26 z^6 a^{-12} +z^6 a^{-14} +10 z^5 a^{-9} +28 z^5 a^{-11} +18 z^5 a^{-13} +15 z^4 a^{-8} -25 z^4 a^{-10} -44 z^4 a^{-12} -4 z^4 a^{-14} -4 z^3 a^{-9} -26 z^3 a^{-11} -21 z^3 a^{-13} +z^3 a^{-15} -10 z^2 a^{-8} +20 z^2 a^{-10} +33 z^2 a^{-12} +4 z^2 a^{-14} +z^2 a^{-16} +9 z a^{-11} +7 z a^{-13} -z a^{-15} +z a^{-17} + a^{-8} -6 a^{-10} -8 a^{-12} -2 a^{-14} }[/math] |
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