K12n36
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 2 q-5+9 q^{-1} -12 q^{-2} +15 q^{-3} -15 q^{-4} +13 q^{-5} -10 q^{-6} +6 q^{-7} -3 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+22 t-29+22 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-2 z^4-z^2+1 }[/math] |
| Determinant | 91 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-2 z^4 a^6-4 z^2 a^6-3 a^6+z^6 a^4+3 z^4 a^4+6 z^2 a^4+4 a^4-3 z^4 a^2-6 z^2 a^2-3 a^2+2 z^2+2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-3 z^4 a^{10}+2 z^2 a^{10}+3 z^7 a^9-9 z^5 a^9+7 z^3 a^9-2 z a^9+4 z^8 a^8-10 z^6 a^8+6 z^4 a^8-3 z^2 a^8+a^8+3 z^9 a^7-3 z^7 a^7-7 z^5 a^7+8 z^3 a^7-3 z a^7+z^{10} a^6+6 z^8 a^6-22 z^6 a^6+25 z^4 a^6-13 z^2 a^6+3 a^6+6 z^9 a^5-13 z^7 a^5+11 z^5 a^5-2 z^3 a^5+z^{10} a^4+5 z^8 a^4-17 z^6 a^4+26 z^4 a^4-16 z^2 a^4+4 a^4+3 z^9 a^3-6 z^7 a^3+12 z^5 a^3-9 z^3 a^3+2 z a^3+3 z^8 a^2-6 z^6 a^2+13 z^4 a^2-13 z^2 a^2+3 a^2+z^7 a+3 z^5 a-6 z^3 a+z a+3 z^4-5 z^2+2 }[/math] |
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