K12n400
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q-3+8 q^{-1} -12 q^{-2} +15 q^{-3} -16 q^{-4} +15 q^{-5} -12 q^{-6} +8 q^{-7} -4 q^{-8} + q^{-9} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^3-8 t^2+23 t-31+23 t^{-1} -8 t^{-2} + t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^6-2 z^4+1 }[/math] |
| Determinant | 95 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-2 z^4 a^6-2 z^2 a^6+z^6 a^4+2 z^4 a^4+2 z^2 a^4-2 z^4 a^2-2 z^2 a^2+z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{10}-2 z^4 a^{10}+z^2 a^{10}+4 z^7 a^9-10 z^5 a^9+6 z^3 a^9-z a^9+6 z^8 a^8-14 z^6 a^8+6 z^4 a^8-z^2 a^8+4 z^9 a^7-2 z^7 a^7-15 z^5 a^7+12 z^3 a^7-3 z a^7+z^{10} a^6+9 z^8 a^6-27 z^6 a^6+20 z^4 a^6-5 z^2 a^6+6 z^9 a^5-9 z^7 a^5-z^5 a^5+8 z^3 a^5-3 z a^5+z^{10} a^4+4 z^8 a^4-12 z^6 a^4+16 z^4 a^4-5 z^2 a^4+2 z^9 a^3-3 z^7 a^3+7 z^5 a^3-z^3 a^3-z a^3+z^8 a^2+5 z^4 a^2-4 z^2 a^2+3 z^5 a-3 z^3 a+z^4-2 z^2+1 }[/math] |
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