K12n1
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^7+3 q^6-5 q^5+8 q^4-9 q^3+9 q^2-9 q+7-4 q^{-1} +2 q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-13 t+19-13 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4-2 z^2+1 }[/math] |
| Determinant | 57 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-2} -4 z^4 a^{-2} +2 z^4 a^{-4} +z^4-7 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +z^2+a^2-4 a^{-2} +4 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +3 z^9 a^{-1} +6 z^9 a^{-3} +3 z^9 a^{-5} +3 z^8 a^{-2} +4 z^8 a^{-4} +3 z^8 a^{-6} +2 z^8-13 z^7 a^{-1} -24 z^7 a^{-3} -10 z^7 a^{-5} +z^7 a^{-7} -28 z^6 a^{-2} -32 z^6 a^{-4} -13 z^6 a^{-6} -9 z^6+a z^5+19 z^5 a^{-1} +26 z^5 a^{-3} +4 z^5 a^{-5} -4 z^5 a^{-7} +47 z^4 a^{-2} +47 z^4 a^{-4} +16 z^4 a^{-6} +16 z^4-10 z^3 a^{-1} -11 z^3 a^{-3} +3 z^3 a^{-5} +4 z^3 a^{-7} +a^2 z^2-27 z^2 a^{-2} -26 z^2 a^{-4} -8 z^2 a^{-6} -8 z^2+3 z a^{-1} +3 z a^{-3} -z a^{-5} -z a^{-7} -a^2+4 a^{-2} +4 a^{-4} + a^{-6} +1 }[/math] |
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