K12n249
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-2 q^{10}+3 q^9-5 q^8+6 q^7-7 q^6+7 q^5-6 q^4+5 q^3-3 q^2+2 q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -3 t^2+12 t-17+12 t^{-1} -3 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 1-3 z^4 }[/math] |
| Determinant | 47 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-4} -z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} -z^2 a^{-4} -2 z^2 a^{-8} +z^2 a^{-10} +2 a^{-2} - a^{-4} + a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-8} +z^{10} a^{-10} +2 z^9 a^{-7} +4 z^9 a^{-9} +2 z^9 a^{-11} +2 z^8 a^{-6} -2 z^8 a^{-8} -3 z^8 a^{-10} +z^8 a^{-12} +2 z^7 a^{-5} -6 z^7 a^{-7} -20 z^7 a^{-9} -12 z^7 a^{-11} +2 z^6 a^{-4} -2 z^6 a^{-6} -z^6 a^{-8} -3 z^6 a^{-10} -6 z^6 a^{-12} +z^5 a^{-3} -z^5 a^{-5} +7 z^5 a^{-7} +32 z^5 a^{-9} +23 z^5 a^{-11} -2 z^4 a^{-4} -5 z^4 a^{-6} -3 z^4 a^{-8} +11 z^4 a^{-10} +11 z^4 a^{-12} +z^3 a^{-3} -3 z^3 a^{-5} -10 z^3 a^{-7} -22 z^3 a^{-9} -16 z^3 a^{-11} +3 z^2 a^{-2} +3 z^2 a^{-4} +3 z^2 a^{-6} +6 z^2 a^{-8} -3 z^2 a^{-10} -6 z^2 a^{-12} +z a^{-3} +z a^{-5} +3 z a^{-7} +7 z a^{-9} +4 z a^{-11} -2 a^{-2} - a^{-4} - a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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