K12n190
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ - q^{-1} +3 q^{-2} -5 q^{-3} +9 q^{-4} -10 q^{-5} +11 q^{-6} -10 q^{-7} +8 q^{-8} -5 q^{-9} +2 q^{-10} - q^{-11} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^4-3 t^3+8 t^2-13 t+15-13 t^{-1} +8 t^{-2} -3 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^8+5 z^6+10 z^4+8 z^2+1 }[/math] |
| Determinant | 65 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^8-5 z^4 a^8-9 z^2 a^8-5 a^8+z^8 a^6+7 z^6 a^6+19 z^4 a^6+22 z^2 a^6+8 a^6-z^6 a^4-4 z^4 a^4-5 z^2 a^4-2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-3 z^3 a^{13}+2 z a^{13}+2 z^6 a^{12}-4 z^4 a^{12}+z^2 a^{12}+3 z^7 a^{11}-6 z^5 a^{11}+4 z^3 a^{11}-2 z a^{11}+3 z^8 a^{10}-6 z^6 a^{10}+7 z^4 a^{10}-4 z^2 a^{10}+2 z^9 a^9-3 z^7 a^9+4 z^5 a^9-z^3 a^9+z^{10} a^8-2 z^8 a^8+9 z^6 a^8-15 z^4 a^8+15 z^2 a^8-5 a^8+3 z^9 a^7-10 z^7 a^7+23 z^5 a^7-23 z^3 a^7+8 z a^7+z^{10} a^6-5 z^8 a^6+20 z^6 a^6-34 z^4 a^6+26 z^2 a^6-8 a^6+z^9 a^5-4 z^7 a^5+13 z^5 a^5-18 z^3 a^5+6 z a^5+3 z^6 a^4-8 z^4 a^4+6 z^2 a^4-2 a^4+z^5 a^3-3 z^3 a^3+2 z a^3 }[/math] |
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