K12n755
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-4 q^8+9 q^7-14 q^6+18 q^5-20 q^4+19 q^3-16 q^2+11 q-5+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-10 t^2+29 t-39+29 t^{-1} -10 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-4 z^4-2 z^2+1 }[/math] |
| Determinant | 119 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -3 z^4 a^{-2} +z^4 a^{-4} -2 z^4 a^{-6} -4 z^2 a^{-2} -z^2 a^{-6} +z^2 a^{-8} +2 z^2- a^{-2} - a^{-4} + a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +4 z^9 a^{-3} +10 z^9 a^{-5} +6 z^9 a^{-7} +3 z^8 a^{-2} +4 z^8 a^{-4} +8 z^8 a^{-6} +7 z^8 a^{-8} +z^7 a^{-1} -5 z^7 a^{-3} -19 z^7 a^{-5} -9 z^7 a^{-7} +4 z^7 a^{-9} -2 z^6 a^{-2} -8 z^6 a^{-4} -23 z^6 a^{-6} -16 z^6 a^{-8} +z^6 a^{-10} +3 z^5 a^{-1} +8 z^5 a^{-3} +14 z^5 a^{-5} -9 z^5 a^{-9} +6 z^4 a^{-2} +2 z^4 a^{-4} +10 z^4 a^{-6} +9 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4-3 z^3 a^{-1} -3 z^3 a^{-3} -8 z^3 a^{-5} -3 z^3 a^{-7} +5 z^3 a^{-9} -5 z^2 a^{-2} +4 z^2 a^{-4} +z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} -5 z^2+2 z a^{-5} +2 z a^{-7} + a^{-2} - a^{-4} - a^{-6} +2 }[/math] |
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