K12n26
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+4 q^6-8 q^5+12 q^4-15 q^3+16 q^2-15 q+13-8 q^{-1} +4 q^{-2} - q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+10 t^2-22 t+29-22 t^{-1} +10 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-2 z^4+1 }[/math] |
| Determinant | 97 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-2} -8 z^4 a^{-2} +3 z^4 a^{-4} +3 z^4-a^2 z^2-12 z^2 a^{-2} +7 z^2 a^{-4} -z^2 a^{-6} +7 z^2-a^2-6 a^{-2} +4 a^{-4} - a^{-6} +5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-2} +2 z^{10} a^{-4} +6 z^9 a^{-1} +11 z^9 a^{-3} +5 z^9 a^{-5} +8 z^8 a^{-2} +6 z^8 a^{-4} +4 z^8 a^{-6} +6 z^8+2 a z^7-16 z^7 a^{-1} -33 z^7 a^{-3} -14 z^7 a^{-5} +z^7 a^{-7} -47 z^6 a^{-2} -41 z^6 a^{-4} -14 z^6 a^{-6} -20 z^6-2 a z^5+11 z^5 a^{-1} +20 z^5 a^{-3} +4 z^5 a^{-5} -3 z^5 a^{-7} +4 a^2 z^4+63 z^4 a^{-2} +48 z^4 a^{-4} +14 z^4 a^{-6} +33 z^4+a^3 z^3+6 a z^3+5 z^3 a^{-1} +3 z^3 a^{-3} +6 z^3 a^{-5} +3 z^3 a^{-7} -4 a^2 z^2-33 z^2 a^{-2} -22 z^2 a^{-4} -5 z^2 a^{-6} -20 z^2-a^3 z-3 a z-4 z a^{-1} -4 z a^{-3} -3 z a^{-5} -z a^{-7} +a^2+6 a^{-2} +4 a^{-4} + a^{-6} +5 }[/math] |
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