K12n849
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-5 q^{11}+11 q^{10}-18 q^9+24 q^8-27 q^7+26 q^6-22 q^5+16 q^4-8 q^3+3 q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^3+17 t^2-37 t+47-37 t^{-1} +17 t^{-2} -3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -3 z^6-z^4+4 z^2+1 }[/math] |
| Determinant | 161 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^6 a^{-6} -z^6 a^{-8} +3 z^4 a^{-4} -5 z^4 a^{-6} +z^4 a^{-10} +6 z^2 a^{-4} -5 z^2 a^{-6} +3 z^2 a^{-8} +3 a^{-4} -3 a^{-6} +2 a^{-8} - a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{10} a^{-8} +3 z^{10} a^{-10} +8 z^9 a^{-7} +17 z^9 a^{-9} +9 z^9 a^{-11} +8 z^8 a^{-6} +16 z^8 a^{-8} +18 z^8 a^{-10} +10 z^8 a^{-12} +3 z^7 a^{-5} -6 z^7 a^{-7} -23 z^7 a^{-9} -9 z^7 a^{-11} +5 z^7 a^{-13} -11 z^6 a^{-6} -41 z^6 a^{-8} -52 z^6 a^{-10} -21 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-5} -7 z^5 a^{-9} -13 z^5 a^{-11} -9 z^5 a^{-13} +6 z^4 a^{-4} +17 z^4 a^{-6} +32 z^4 a^{-8} +34 z^4 a^{-10} +12 z^4 a^{-12} -z^4 a^{-14} -2 z^3 a^{-5} +2 z^3 a^{-7} +13 z^3 a^{-9} +13 z^3 a^{-11} +4 z^3 a^{-13} -8 z^2 a^{-4} -13 z^2 a^{-6} -12 z^2 a^{-8} -8 z^2 a^{-10} -z^2 a^{-12} -z a^{-5} -z a^{-7} -3 z a^{-9} -3 z a^{-11} +3 a^{-4} +3 a^{-6} +2 a^{-8} + a^{-10} }[/math] |
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