K12n735
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{11}-3 q^{10}+5 q^9-8 q^8+10 q^7-11 q^6+11 q^5-9 q^4+7 q^3-4 q^2+2 q }[/math] |
| Alexander polynomial | [math]\displaystyle{ -4 t^2+18 t-27+18 t^{-1} -4 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ -4 z^4+2 z^2+1 }[/math] |
| Determinant | 71 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^4 a^{-4} -2 z^4 a^{-6} -z^4 a^{-8} +2 z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-10} + a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{10} a^{-8} +2 z^{10} a^{-10} +5 z^9 a^{-7} +8 z^9 a^{-9} +3 z^9 a^{-11} +6 z^8 a^{-6} -z^8 a^{-8} -6 z^8 a^{-10} +z^8 a^{-12} +5 z^7 a^{-5} -15 z^7 a^{-7} -36 z^7 a^{-9} -16 z^7 a^{-11} +3 z^6 a^{-4} -15 z^6 a^{-6} -16 z^6 a^{-8} -3 z^6 a^{-10} -5 z^6 a^{-12} +z^5 a^{-3} -8 z^5 a^{-5} +13 z^5 a^{-7} +49 z^5 a^{-9} +27 z^5 a^{-11} -z^4 a^{-4} +9 z^4 a^{-6} +18 z^4 a^{-8} +16 z^4 a^{-10} +8 z^4 a^{-12} +3 z^3 a^{-3} +z^3 a^{-5} -12 z^3 a^{-7} -25 z^3 a^{-9} -15 z^3 a^{-11} +3 z^2 a^{-2} -z^2 a^{-4} -6 z^2 a^{-6} -4 z^2 a^{-8} -6 z^2 a^{-10} -4 z^2 a^{-12} +4 z a^{-7} +6 z a^{-9} +2 z a^{-11} - a^{-2} + a^{-4} + a^{-6} }[/math] |
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