K12n710
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^8+4 q^7-8 q^6+12 q^5-15 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+22 t-27+22 t^{-1} -10 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+2 z^4+1 }[/math] |
| Determinant | 95 |
| 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^{-6} -z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +z^9 a^{-1} +5 z^9 a^{-3} +4 z^9 a^{-5} +7 z^8 a^{-4} +7 z^8 a^{-6} -8 z^7 a^{-3} -z^7 a^{-5} +7 z^7 a^{-7} +2 z^6 a^{-2} -17 z^6 a^{-4} -11 z^6 a^{-6} +4 z^6 a^{-8} +4 z^6+a z^5+4 z^5 a^{-3} -8 z^5 a^{-5} -12 z^5 a^{-7} +z^5 a^{-9} -3 z^4 a^{-2} +15 z^4 a^{-4} +4 z^4 a^{-6} -6 z^4 a^{-8} -8 z^4-2 a z^3-z^3 a^{-1} +5 z^3 a^{-3} +9 z^3 a^{-5} +4 z^3 a^{-7} -z^3 a^{-9} +z^2 a^{-2} -3 z^2 a^{-4} -z^2 a^{-6} +z^2 a^{-8} +2 z^2-z a^{-1} -3 z a^{-3} -3 z a^{-5} -z a^{-7} +1 }[/math] |
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