K12n50
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q^7-5 q^6+9 q^5-14 q^4+16 q^3-16 q^2+15 q-11+7 q^{-1} -3 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+23 t-27+23 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+z^4-3 z^2+1 }[/math] |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6 a^{-4} +z^4 a^{-2} +3 z^4 a^{-4} -z^4 a^{-6} -2 z^4+a^2 z^2-2 z^2 a^{-2} +4 z^2 a^{-4} -3 z^2 a^{-6} -3 z^2+a^2- a^{-2} +2 a^{-4} -2 a^{-6} + a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +3 z^9 a^{-1} +6 z^9 a^{-3} +3 z^9 a^{-5} +7 z^8 a^{-2} +6 z^8 a^{-4} +3 z^8 a^{-6} +4 z^8+3 a z^7-8 z^7 a^{-3} -4 z^7 a^{-5} +z^7 a^{-7} +a^2 z^6-18 z^6 a^{-2} -15 z^6 a^{-4} -5 z^6 a^{-6} -7 z^6-8 a z^5-12 z^5 a^{-1} +z^5 a^{-3} +8 z^5 a^{-5} +3 z^5 a^{-7} -3 a^2 z^4+12 z^4 a^{-2} +18 z^4 a^{-4} +11 z^4 a^{-6} +3 z^4 a^{-8} -z^4+6 a z^3+8 z^3 a^{-1} +2 z^3 a^{-3} -6 z^3 a^{-5} -6 z^3 a^{-7} +3 a^2 z^2-6 z^2 a^{-2} -10 z^2 a^{-4} -9 z^2 a^{-6} -5 z^2 a^{-8} +3 z^2-a z-2 z a^{-1} -z a^{-3} +3 z a^{-5} +3 z a^{-7} -a^2+ a^{-2} +2 a^{-4} +2 a^{-6} + a^{-8} }[/math] |
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