K12n372
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^{10}+3 q^9-5 q^8+6 q^7-7 q^6+7 q^5-6 q^4+5 q^3-2 q^2+q }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-4 t^2+10 t-13+10 t^{-1} -4 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6+2 z^4+3 z^2+1 }[/math] |
| Determinant | 43 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} -z^4 a^{-4} +4 z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} -z^2 a^{-4} +5 z^2 a^{-6} -2 z^2 a^{-8} + a^{-2} + a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-6} +z^{10} a^{-8} +z^9 a^{-5} +4 z^9 a^{-7} +3 z^9 a^{-9} -3 z^8 a^{-6} +3 z^8 a^{-10} -4 z^7 a^{-5} -17 z^7 a^{-7} -12 z^7 a^{-9} +z^7 a^{-11} +z^6 a^{-4} +z^6 a^{-6} -13 z^6 a^{-8} -13 z^6 a^{-10} +5 z^5 a^{-5} +19 z^5 a^{-7} +10 z^5 a^{-9} -4 z^5 a^{-11} -2 z^4 a^{-4} -z^4 a^{-6} +15 z^4 a^{-8} +14 z^4 a^{-10} +z^3 a^{-3} -z^3 a^{-5} -7 z^3 a^{-7} -z^3 a^{-9} +4 z^3 a^{-11} +z^2 a^{-2} +2 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} -4 z^2 a^{-10} -z a^{-5} -z a^{-11} - a^{-2} - a^{-6} - a^{-8} }[/math] |
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