K12n642
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-2} -2 q^{-4} +2 q^{-5} -3 q^{-6} +6 q^{-7} -4 q^{-8} +5 q^{-9} -4 q^{-10} + q^{-11} - q^{-12} }[/math] |
| Alexander polynomial | [math]\displaystyle{ t^2+7 t-15+7 t^{-1} + t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ z^4+11 z^2+1 }[/math] |
| Determinant | 27 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+z^2 a^{10}-2 a^{10}+4 z^2 a^8+4 a^8+2 z^2 a^6+z^4 a^4+4 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{13}-8 z^7 a^{13}+24 z^5 a^{13}-32 z^3 a^{13}+16 z a^{13}+z^{10} a^{12}-5 z^8 a^{12}+4 z^6 a^{12}+10 z^4 a^{12}-12 z^2 a^{12}-a^{12}+5 z^9 a^{11}-32 z^7 a^{11}+68 z^5 a^{11}-61 z^3 a^{11}+22 z a^{11}+z^{10} a^{10}+2 z^8 a^{10}-38 z^6 a^{10}+83 z^4 a^{10}-53 z^2 a^{10}+2 a^{10}+4 z^9 a^9-20 z^7 a^9+22 z^5 a^9-5 z^3 a^9+7 z a^9+7 z^8 a^8-42 z^6 a^8+70 z^4 a^8-39 z^2 a^8+4 a^8+4 z^7 a^7-22 z^5 a^7+22 z^3 a^7+z a^7-2 z^4 a^6-2 z^2 a^6-2 z^3 a^5+z^4 a^4-4 z^2 a^4 }[/math] |
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