K12n602
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^7-4 q^6+8 q^5-12 q^4+16 q^3-16 q^2+15 q-13+8 q^{-1} -4 q^{-2} +2 q^{-3} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-9 t^2+24 t-31+24 t^{-1} -9 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-3 z^4-3 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} -3 z^4+2 a^2 z^2+3 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -7 z^2+3 a^2+3 a^{-2} -5 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10}+a z^9+5 z^9 a^{-1} +4 z^9 a^{-3} +7 z^8 a^{-2} +8 z^8 a^{-4} -z^8-a z^7-8 z^7 a^{-1} +3 z^7 a^{-3} +10 z^7 a^{-5} +3 a^2 z^6-11 z^6 a^{-2} -6 z^6 a^{-4} +8 z^6 a^{-6} +6 z^6-3 a z^5-z^5 a^{-1} -14 z^5 a^{-3} -12 z^5 a^{-5} +4 z^5 a^{-7} -11 a^2 z^4-11 z^4 a^{-2} -7 z^4 a^{-4} -8 z^4 a^{-6} +z^4 a^{-8} -24 z^4+5 a z^3+3 z^3 a^{-1} +4 z^3 a^{-3} +4 z^3 a^{-5} -2 z^3 a^{-7} +12 a^2 z^2+15 z^2 a^{-2} +6 z^2 a^{-4} +3 z^2 a^{-6} +24 z^2-3 a z-3 z a^{-1} -3 a^2-3 a^{-2} -5 }[/math] |
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