K12n392
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^7-4 q^6+8 q^5-13 q^4+16 q^3-16 q^2+16 q-12+8 q^{-1} -4 q^{-2} + q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+24 t-33+24 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-2 z^4+z^2+1 }[/math] |
| Determinant | 99 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^4 a^{-2} -2 z^4 a^{-4} -2 z^4+a^2 z^2+3 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -2 z^2+2 a^{-2} - a^{-4} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +4 z^9 a^{-1} +6 z^9 a^{-3} +2 z^9 a^{-5} +9 z^8 a^{-2} +4 z^8 a^{-4} +z^8 a^{-6} +6 z^8+4 a z^7-2 z^7 a^{-1} -8 z^7 a^{-3} -2 z^7 a^{-5} +a^2 z^6-24 z^6 a^{-2} -7 z^6 a^{-4} +2 z^6 a^{-6} -14 z^6-10 a z^5-12 z^5 a^{-1} +3 z^5 a^{-3} +9 z^5 a^{-5} +4 z^5 a^{-7} -2 a^2 z^4+15 z^4 a^{-2} +6 z^4 a^{-4} +z^4 a^{-6} +z^4 a^{-8} +7 z^4+6 a z^3+6 z^3 a^{-1} -5 z^3 a^{-3} -9 z^3 a^{-5} -4 z^3 a^{-7} +a^2 z^2-3 z^2 a^{-2} -z^2 a^{-4} -z^2 a^{-6} -z^2 a^{-8} -z^2+z a^{-1} +4 z a^{-3} +4 z a^{-5} +z a^{-7} -2 a^{-2} - a^{-4} }[/math] |
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