K12n168
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{12}-2 q^{11}+3 q^{10}-5 q^9+5 q^8-6 q^7+6 q^6-4 q^5+3 q^4-q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^3+5 t^2-8 t+9-8 t^{-1} +5 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^6-z^4+3 z^2+1 }[/math] |
| Determinant | 37 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-8} +z^4 a^{-4} +2 z^4 a^{-6} -5 z^4 a^{-8} +z^4 a^{-10} +3 z^2 a^{-4} +6 z^2 a^{-6} -9 z^2 a^{-8} +3 z^2 a^{-10} + a^{-4} +4 a^{-6} -6 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +z^9 a^{-7} +3 z^9 a^{-9} +2 z^9 a^{-11} -6 z^8 a^{-8} -4 z^8 a^{-10} +2 z^8 a^{-12} -6 z^7 a^{-7} -17 z^7 a^{-9} -9 z^7 a^{-11} +2 z^7 a^{-13} +2 z^6 a^{-6} +15 z^6 a^{-8} +5 z^6 a^{-10} -7 z^6 a^{-12} +z^6 a^{-14} +z^5 a^{-5} +15 z^5 a^{-7} +35 z^5 a^{-9} +13 z^5 a^{-11} -8 z^5 a^{-13} +z^4 a^{-4} -7 z^4 a^{-6} -19 z^4 a^{-8} -3 z^4 a^{-10} +4 z^4 a^{-12} -4 z^4 a^{-14} -2 z^3 a^{-5} -15 z^3 a^{-7} -28 z^3 a^{-9} -8 z^3 a^{-11} +7 z^3 a^{-13} -3 z^2 a^{-4} +9 z^2 a^{-6} +18 z^2 a^{-8} +3 z^2 a^{-10} +3 z^2 a^{-14} +7 z a^{-7} +9 z a^{-9} -2 z a^{-13} + a^{-4} -4 a^{-6} -6 a^{-8} -2 a^{-10} }[/math] |
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