K12n76
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-3 q^{11}+5 q^{10}-7 q^9+8 q^8-9 q^7+8 q^6-6 q^5+4 q^4-q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+6 t^2-12 t+15-12 t^{-1} +6 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6+3 z^2+1 }[/math] |
| Determinant | 53 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-8} +z^4 a^{-4} +2 z^4 a^{-6} -4 z^4 a^{-8} +z^4 a^{-10} +3 z^2 a^{-4} +4 z^2 a^{-6} -6 z^2 a^{-8} +2 z^2 a^{-10} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +4 z^9 a^{-9} +3 z^9 a^{-11} -4 z^8 a^{-8} +4 z^8 a^{-12} -5 z^7 a^{-7} -18 z^7 a^{-9} -10 z^7 a^{-11} +3 z^7 a^{-13} +2 z^6 a^{-6} +7 z^6 a^{-8} -10 z^6 a^{-10} -14 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-5} +13 z^5 a^{-7} +30 z^5 a^{-9} +8 z^5 a^{-11} -10 z^5 a^{-13} +z^4 a^{-4} -4 z^4 a^{-6} -4 z^4 a^{-8} +15 z^4 a^{-10} +11 z^4 a^{-12} -3 z^4 a^{-14} -z^3 a^{-5} -11 z^3 a^{-7} -18 z^3 a^{-9} -2 z^3 a^{-11} +6 z^3 a^{-13} -3 z^2 a^{-4} +3 z^2 a^{-6} +6 z^2 a^{-8} -4 z^2 a^{-10} -3 z^2 a^{-12} +z^2 a^{-14} -z a^{-5} +3 z a^{-7} +5 z a^{-9} -z a^{-13} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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