K12n799
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^9-4 q^8+10 q^7-16 q^6+20 q^5-23 q^4+22 q^3-18 q^2+13 q-6+2 q^{-1} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-13 t^2+32 t-41+32 t^{-1} -13 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6-z^4-2 z^2+1 }[/math] |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-4} -4 z^4 a^{-2} +6 z^4 a^{-4} -3 z^4 a^{-6} -7 z^2 a^{-2} +7 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} +2 z^2-2 a^{-2} +2 a^{-4} -2 a^{-6} + a^{-8} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-4} +3 z^{10} a^{-6} +7 z^9 a^{-3} +15 z^9 a^{-5} +8 z^9 a^{-7} +5 z^8 a^{-2} +7 z^8 a^{-4} +10 z^8 a^{-6} +8 z^8 a^{-8} +z^7 a^{-1} -16 z^7 a^{-3} -35 z^7 a^{-5} -14 z^7 a^{-7} +4 z^7 a^{-9} -9 z^6 a^{-2} -31 z^6 a^{-4} -41 z^6 a^{-6} -18 z^6 a^{-8} +z^6 a^{-10} +5 z^5 a^{-1} +23 z^5 a^{-3} +28 z^5 a^{-5} +2 z^5 a^{-7} -8 z^5 a^{-9} +18 z^4 a^{-2} +41 z^4 a^{-4} +40 z^4 a^{-6} +12 z^4 a^{-8} -2 z^4 a^{-10} +3 z^4-6 z^3 a^{-1} -10 z^3 a^{-3} -9 z^3 a^{-5} -z^3 a^{-7} +4 z^3 a^{-9} -14 z^2 a^{-2} -18 z^2 a^{-4} -17 z^2 a^{-6} -7 z^2 a^{-8} +z^2 a^{-10} -5 z^2+z a^{-3} +3 z a^{-5} +z a^{-7} -z a^{-9} +2 a^{-2} +2 a^{-4} +2 a^{-6} + a^{-8} +2 }[/math] |
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