K12n125
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^9+4 q^8-8 q^7+12 q^6-15 q^5+15 q^4-14 q^3+12 q^2-7 q+4- q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-6 t^3+14 t^2-17 t+17-17 t^{-1} +14 t^{-2} -6 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+2 z^6-2 z^4+z^2+1 }[/math] |
| Determinant | 93 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -2 z^6 a^{-6} -3 z^4 a^{-2} +9 z^4 a^{-4} -9 z^4 a^{-6} +z^4 a^{-8} -z^2 a^{-2} +9 z^2 a^{-4} -12 z^2 a^{-6} +5 z^2 a^{-8} + a^{-2} +3 a^{-4} -6 a^{-6} +4 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +5 z^9 a^{-3} +11 z^9 a^{-5} +6 z^9 a^{-7} +4 z^8 a^{-2} +5 z^8 a^{-4} +7 z^8 a^{-6} +6 z^8 a^{-8} +z^7 a^{-1} -16 z^7 a^{-3} -37 z^7 a^{-5} -18 z^7 a^{-7} +2 z^7 a^{-9} -15 z^6 a^{-2} -40 z^6 a^{-4} -46 z^6 a^{-6} -21 z^6 a^{-8} -3 z^5 a^{-1} +11 z^5 a^{-3} +34 z^5 a^{-5} +18 z^5 a^{-7} -2 z^5 a^{-9} +16 z^4 a^{-2} +51 z^4 a^{-4} +66 z^4 a^{-6} +35 z^4 a^{-8} +4 z^4 a^{-10} +2 z^3 a^{-1} -3 z^3 a^{-3} -13 z^3 a^{-5} -4 z^3 a^{-7} +5 z^3 a^{-9} +z^3 a^{-11} -5 z^2 a^{-2} -24 z^2 a^{-4} -36 z^2 a^{-6} -21 z^2 a^{-8} -4 z^2 a^{-10} +2 z a^{-3} +3 z a^{-5} -2 z a^{-9} -z a^{-11} - a^{-2} +3 a^{-4} +6 a^{-6} +4 a^{-8} + a^{-10} }[/math] |
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