K12n724
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-2 q^{11}+4 q^{10}-7 q^9+8 q^8-10 q^7+10 q^6-8 q^5+6 q^4-3 q^3+2 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+8 t^2-13 t+15-13 t^{-1} +8 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6-4 z^4+z^2+1 }[/math] |
| Determinant | 61 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-6} -z^6 a^{-8} +2 z^4 a^{-4} -3 z^4 a^{-6} -4 z^4 a^{-8} +z^4 a^{-10} +6 z^2 a^{-4} -2 z^2 a^{-6} -6 z^2 a^{-8} +3 z^2 a^{-10} +3 a^{-4} -4 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +2 z^9 a^{-7} +4 z^9 a^{-9} +2 z^9 a^{-11} +2 z^8 a^{-6} -2 z^8 a^{-8} -2 z^8 a^{-10} +2 z^8 a^{-12} +z^7 a^{-5} -7 z^7 a^{-7} -17 z^7 a^{-9} -7 z^7 a^{-11} +2 z^7 a^{-13} -6 z^6 a^{-6} +3 z^6 a^{-8} +3 z^6 a^{-10} -5 z^6 a^{-12} +z^6 a^{-14} -z^5 a^{-5} +13 z^5 a^{-7} +35 z^5 a^{-9} +14 z^5 a^{-11} -7 z^5 a^{-13} +3 z^4 a^{-4} +9 z^4 a^{-6} -3 z^4 a^{-8} -3 z^4 a^{-10} +2 z^4 a^{-12} -4 z^4 a^{-14} -8 z^3 a^{-7} -32 z^3 a^{-9} -18 z^3 a^{-11} +6 z^3 a^{-13} -8 z^2 a^{-4} -4 z^2 a^{-6} +10 z^2 a^{-8} +z^2 a^{-10} -z^2 a^{-12} +4 z^2 a^{-14} -2 z a^{-5} +4 z a^{-7} +12 z a^{-9} +5 z a^{-11} -z a^{-13} +3 a^{-4} -4 a^{-8} -2 a^{-10} }[/math] |
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