K12n826
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-3 q^8+7 q^7-11 q^6+14 q^5-17 q^4+16 q^3-13 q^2+10 q-5+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-9 t^2+24 t-31+24 t^{-1} -9 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-3 z^4-3 z^2+1 }[/math] |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} -3 z^4 a^{-2} +2 z^4 a^{-4} -2 z^4 a^{-6} -5 z^2 a^{-2} +2 z^2 a^{-4} -3 z^2 a^{-6} +z^2 a^{-8} +2 z^2- a^{-2} - a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +4 z^9 a^{-3} +9 z^9 a^{-5} +5 z^9 a^{-7} +3 z^8 a^{-2} +2 z^8 a^{-6} +5 z^8 a^{-8} +z^7 a^{-1} -10 z^7 a^{-3} -28 z^7 a^{-5} -14 z^7 a^{-7} +3 z^7 a^{-9} -4 z^6 a^{-2} -5 z^6 a^{-4} -16 z^6 a^{-6} -14 z^6 a^{-8} +z^6 a^{-10} +3 z^5 a^{-1} +18 z^5 a^{-3} +40 z^5 a^{-5} +17 z^5 a^{-7} -8 z^5 a^{-9} +7 z^4 a^{-2} +10 z^4 a^{-4} +21 z^4 a^{-6} +12 z^4 a^{-8} -3 z^4 a^{-10} +3 z^4-5 z^3 a^{-1} -12 z^3 a^{-3} -27 z^3 a^{-5} -16 z^3 a^{-7} +4 z^3 a^{-9} -7 z^2 a^{-2} -4 z^2 a^{-4} -11 z^2 a^{-6} -7 z^2 a^{-8} +2 z^2 a^{-10} -5 z^2+3 z a^{-3} +9 z a^{-5} +6 z a^{-7} + a^{-2} + a^{-6} + a^{-8} +2 }[/math] |
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