K12n801
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-2 q^{10}+3 q^9-4 q^8+3 q^7-3 q^6+2 q^5-q^4+q^3+q^2 }[/math] |
| Alexander polynomial | [math]\displaystyle{ -t^2+5 t-7+5 t^{-1} - t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -z^4+z^2+1 }[/math] |
| Determinant | 19 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^4 a^{-4} -z^4 a^{-6} -z^4 a^{-8} +5 z^2 a^{-4} -3 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +4 a^{-4} -3 a^{-6} - a^{-8} + 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} -5 z^8 a^{-8} -4 z^8 a^{-10} +z^8 a^{-12} -5 z^7 a^{-7} -17 z^7 a^{-9} -12 z^7 a^{-11} +6 z^6 a^{-8} -6 z^6 a^{-12} -z^5 a^{-5} +4 z^5 a^{-7} +27 z^5 a^{-9} +22 z^5 a^{-11} +z^4 a^{-4} -z^4 a^{-6} -5 z^4 a^{-8} +8 z^4 a^{-10} +11 z^4 a^{-12} +3 z^3 a^{-5} +2 z^3 a^{-7} -16 z^3 a^{-9} -15 z^3 a^{-11} -5 z^2 a^{-4} -3 z^2 a^{-6} +5 z^2 a^{-8} -3 z^2 a^{-10} -6 z^2 a^{-12} -4 z a^{-5} -3 z a^{-7} +5 z a^{-9} +4 z a^{-11} +4 a^{-4} +3 a^{-6} - a^{-8} - a^{-10} }[/math] |
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