K12n6
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -2 q^7+4 q^6-5 q^5+7 q^4-7 q^3+7 q^2-6 q+4-2 q^{-1} + q^{-2} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-5 t^3+9 t^2-6 t+3-6 t^{-1} +9 t^{-2} -5 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+3 z^6-z^4+z^2+1 }[/math] |
| Determinant | 45 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +6 z^6 a^{-4} -z^6 a^{-6} -10 z^4 a^{-2} +13 z^4 a^{-4} -5 z^4 a^{-6} +z^4-14 z^2 a^{-2} +16 z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} +4 z^2-7 a^{-2} +8 a^{-4} -3 a^{-6} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-2} +z^{10} a^{-4} +2 z^9 a^{-1} +6 z^9 a^{-3} +4 z^9 a^{-5} +4 z^8 a^{-4} +5 z^8 a^{-6} +z^8-11 z^7 a^{-1} -30 z^7 a^{-3} -17 z^7 a^{-5} +2 z^7 a^{-7} -21 z^6 a^{-2} -39 z^6 a^{-4} -24 z^6 a^{-6} -6 z^6+19 z^5 a^{-1} +43 z^5 a^{-3} +17 z^5 a^{-5} -7 z^5 a^{-7} +46 z^4 a^{-2} +67 z^4 a^{-4} +34 z^4 a^{-6} +z^4 a^{-8} +12 z^4-13 z^3 a^{-1} -23 z^3 a^{-3} -5 z^3 a^{-5} +5 z^3 a^{-7} -33 z^2 a^{-2} -41 z^2 a^{-4} -19 z^2 a^{-6} -z^2 a^{-8} -10 z^2+3 z a^{-1} +5 z a^{-3} +z a^{-5} +z a^{-9} +7 a^{-2} +8 a^{-4} +3 a^{-6} +3 }[/math] |
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