K12n594
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{13}+2 q^{12}-3 q^{11}+3 q^{10}-3 q^9+2 q^8-q^7+q^6+q^5-q^4+q^3 }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-t^2-5 t+9-5 t^{-1} - t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^6+11 z^4+9 z^2+1 }[/math] |
| Determinant | 13 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +z^6 a^{-8} +5 z^4 a^{-6} +6 z^4 a^{-8} +5 z^2 a^{-6} +8 z^2 a^{-8} -3 z^2 a^{-10} -z^2 a^{-12} + a^{-6} +3 a^{-8} -3 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{-11} +z^9 a^{-13} +z^8 a^{-8} +2 z^8 a^{-10} +3 z^8 a^{-12} +2 z^8 a^{-14} +z^7 a^{-7} +z^7 a^{-9} -4 z^7 a^{-11} -3 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-6} -7 z^6 a^{-8} -13 z^6 a^{-10} -15 z^6 a^{-12} -10 z^6 a^{-14} -5 z^5 a^{-7} -8 z^5 a^{-9} -z^5 a^{-11} -3 z^5 a^{-13} -5 z^5 a^{-15} -5 z^4 a^{-6} +13 z^4 a^{-8} +22 z^4 a^{-10} +17 z^4 a^{-12} +13 z^4 a^{-14} +4 z^3 a^{-7} +12 z^3 a^{-9} +8 z^3 a^{-11} +7 z^3 a^{-13} +7 z^3 a^{-15} +5 z^2 a^{-6} -10 z^2 a^{-8} -14 z^2 a^{-10} -4 z^2 a^{-12} -5 z^2 a^{-14} -5 z a^{-9} -4 z a^{-11} -2 z a^{-13} -3 z a^{-15} - a^{-6} +3 a^{-8} +3 a^{-10} }[/math] |
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