K12n596
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ -q^2+3 q-6+11 q^{-1} -14 q^{-2} +16 q^{-3} -15 q^{-4} +13 q^{-5} -9 q^{-6} +5 q^{-7} -2 q^{-8} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-11 t^2+21 t-25+21 t^{-1} -11 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ 3 z^6+7 z^4+4 z^2+1 }[/math] |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^4 a^6-5 z^2 a^6-3 a^6+2 z^6 a^4+8 z^4 a^4+11 z^2 a^4+5 a^4+z^6 a^2+2 z^4 a^2-a^2-z^4-2 z^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^6 z^{10}+a^4 z^{10}+2 a^7 z^9+6 a^5 z^9+4 a^3 z^9+a^8 z^8+3 a^6 z^8+8 a^4 z^8+6 a^2 z^8-3 a^7 z^7-13 a^5 z^7-5 a^3 z^7+5 a z^7+2 a^8 z^6-8 a^6 z^6-27 a^4 z^6-14 a^2 z^6+3 z^6+3 a^9 z^5+7 a^7 z^5+16 a^5 z^5+a^3 z^5-10 a z^5+z^5 a^{-1} -8 a^8 z^4+9 a^6 z^4+39 a^4 z^4+16 a^2 z^4-6 z^4-7 a^9 z^3-14 a^7 z^3-10 a^5 z^3+5 a^3 z^3+6 a z^3-2 z^3 a^{-1} +4 a^8 z^2-10 a^6 z^2-23 a^4 z^2-7 a^2 z^2+2 z^2+4 a^9 z+5 a^7 z+a^5 z-a^3 z-a z+3 a^6+5 a^4+a^2 }[/math] |
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