K12n669
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^8+5 q^7-8 q^6+13 q^5-16 q^4+16 q^3-15 q^2+12 q-7+4 q^{-1} - q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-10 t^2+23 t-29+23 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+2 z^4+z^2+1 }[/math] |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +2 z^4 a^{-2} +2 z^4 a^{-4} -z^4 a^{-6} -z^4+z^2 a^{-2} +z^2 a^{-4} -z^2- a^{-4} +2 a^{-6} - a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-4} +2 z^{10} a^{-6} +5 z^9 a^{-3} +8 z^9 a^{-5} +3 z^9 a^{-7} +6 z^8 a^{-2} +z^8 a^{-4} -4 z^8 a^{-6} +z^8 a^{-8} +6 z^7 a^{-1} -9 z^7 a^{-3} -25 z^7 a^{-5} -10 z^7 a^{-7} -7 z^6 a^{-2} -5 z^6 a^{-4} +8 z^6 a^{-6} +2 z^6 a^{-8} +4 z^6+a z^5-9 z^5 a^{-1} +11 z^5 a^{-3} +37 z^5 a^{-5} +19 z^5 a^{-7} +3 z^5 a^{-9} -2 z^4 a^{-2} +4 z^4 a^{-4} -12 z^4 a^{-6} -11 z^4 a^{-8} -7 z^4-a z^3+z^3 a^{-1} -7 z^3 a^{-3} -20 z^3 a^{-5} -19 z^3 a^{-7} -8 z^3 a^{-9} +2 z^2 a^{-2} +3 z^2 a^{-4} +11 z^2 a^{-6} +8 z^2 a^{-8} +2 z^2+2 z a^{-5} +5 z a^{-7} +3 z a^{-9} - a^{-4} -2 a^{-6} - a^{-8} +1 }[/math] |
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