K12n756
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^6+5 q^5-9 q^4+14 q^3-15 q^2+16 q-15+11 q^{-1} -7 q^{-2} +4 q^{-3} - q^{-4} }[/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^2 z^4+2 z^4 a^{-2} -z^4 a^{-4} +2 z^4-a^2 z^2+2 z^2 a^{-2} +a^2+2 a^{-2} + a^{-4} - a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10}+5 a z^9+9 z^9 a^{-1} +4 z^9 a^{-3} +4 a^2 z^8+2 z^8 a^{-2} +4 z^8 a^{-4} +2 z^8+a^3 z^7-17 a z^7-24 z^7 a^{-1} -3 z^7 a^{-3} +3 z^7 a^{-5} -15 a^2 z^6-6 z^6 a^{-2} +z^6 a^{-6} -20 z^6-3 a^3 z^5+15 a z^5+16 z^5 a^{-1} -2 z^5 a^{-3} +15 a^2 z^4-12 z^4 a^{-2} -7 z^4 a^{-4} +4 z^4 a^{-6} +14 z^4+2 a^3 z^3-2 a z^3-6 z^3 a^{-1} -2 z^3 a^{-3} +3 z^3 a^{-5} +3 z^3 a^{-7} -a^2 z^2+12 z^2 a^{-2} +5 z^2 a^{-4} -2 z^2 a^{-6} +4 z^2-a z-z a^{-1} -2 z a^{-5} -2 z a^{-7} -a^2-2 a^{-2} + a^{-4} + a^{-6} -2 }[/math] |
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