K12n45
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-4 q^5+5 q^4-6 q^3+6 q^2-5 q+4-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+4 t^2-8 t+11-8 t^{-1} +4 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-2 z^4-z^2+1 }[/math] |
| Determinant | 37 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -5 z^4 a^{-2} +2 z^4 a^{-4} +z^4-9 z^2 a^{-2} +6 z^2 a^{-4} -z^2 a^{-6} +3 z^2-5 a^{-2} +4 a^{-4} - a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +5 z^9 a^{-3} +3 z^9 a^{-5} -z^8 a^{-2} +z^8 a^{-4} +3 z^8 a^{-6} +z^8-11 z^7 a^{-1} -25 z^7 a^{-3} -13 z^7 a^{-5} +z^7 a^{-7} -16 z^6 a^{-2} -24 z^6 a^{-4} -14 z^6 a^{-6} -6 z^6+18 z^5 a^{-1} +33 z^5 a^{-3} +11 z^5 a^{-5} -4 z^5 a^{-7} +37 z^4 a^{-2} +41 z^4 a^{-4} +16 z^4 a^{-6} +12 z^4-10 z^3 a^{-1} -12 z^3 a^{-3} +z^3 a^{-5} +3 z^3 a^{-7} -26 z^2 a^{-2} -22 z^2 a^{-4} -6 z^2 a^{-6} -10 z^2+z a^{-1} -2 z a^{-5} -z a^{-7} +5 a^{-2} +4 a^{-4} + a^{-6} +3 }[/math] |
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