K12n259
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{13}-4 q^{12}+8 q^{11}-13 q^{10}+15 q^9-16 q^8+15 q^7-11 q^6+8 q^5-3 q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-12 t^2+20 t-23+20 t^{-1} -12 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 4 z^6+12 z^4+8 z^2+1 }[/math] |
| Determinant | 95 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +3 z^6 a^{-8} +3 z^4 a^{-6} +13 z^4 a^{-8} -4 z^4 a^{-10} +2 z^2 a^{-6} +17 z^2 a^{-8} -12 z^2 a^{-10} +z^2 a^{-12} +7 a^{-8} -8 a^{-10} +2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-10} +z^{10} a^{-12} +4 z^9 a^{-9} +6 z^9 a^{-11} +2 z^9 a^{-13} +6 z^8 a^{-8} +9 z^8 a^{-10} +4 z^8 a^{-12} +z^8 a^{-14} +3 z^7 a^{-7} -4 z^7 a^{-9} -9 z^7 a^{-11} -2 z^7 a^{-13} +z^6 a^{-6} -19 z^6 a^{-8} -31 z^6 a^{-10} -9 z^6 a^{-12} +2 z^6 a^{-14} -7 z^5 a^{-7} -11 z^5 a^{-9} +8 z^5 a^{-13} +4 z^5 a^{-15} -3 z^4 a^{-6} +24 z^4 a^{-8} +37 z^4 a^{-10} +10 z^4 a^{-12} +z^4 a^{-14} +z^4 a^{-16} +3 z^3 a^{-7} +15 z^3 a^{-9} +8 z^3 a^{-11} -8 z^3 a^{-13} -4 z^3 a^{-15} +2 z^2 a^{-6} -20 z^2 a^{-8} -26 z^2 a^{-10} -5 z^2 a^{-12} -2 z^2 a^{-14} -z^2 a^{-16} -7 z a^{-9} -5 z a^{-11} +3 z a^{-13} +z a^{-15} +7 a^{-8} +8 a^{-10} +2 a^{-12} }[/math] |
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