K12n404
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ q^{-2} - q^{-3} + q^{-4} - q^{-5} + q^{-6} + q^{-7} - q^{-8} +2 q^{-9} -2 q^{-10} + q^{-11} - q^{-12} }[/math] |
| Alexander polynomial | [math]\displaystyle{ 2 t^2+t-5+ t^{-1} +2 t^{-2} }[/math] |
| Conway polynomial | [math]\displaystyle{ 2 z^4+9 z^2+1 }[/math] |
| Determinant | 3 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^{12}+z^2 a^{10}+z^2 a^8+z^4 a^6+4 z^2 a^6+2 a^6+z^4 a^4+3 z^2 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^9 a^{13}-8 z^7 a^{13}+22 z^5 a^{13}-25 z^3 a^{13}+10 z a^{13}+z^{10} a^{12}-7 z^8 a^{12}+15 z^6 a^{12}-11 z^4 a^{12}+2 z^2 a^{12}-a^{12}+3 z^9 a^{11}-22 z^7 a^{11}+51 z^5 a^{11}-45 z^3 a^{11}+12 z a^{11}+z^{10} a^{10}-5 z^8 a^{10}+z^6 a^{10}+15 z^4 a^{10}-12 z^2 a^{10}+2 z^9 a^9-13 z^7 a^9+22 z^5 a^9-11 z^3 a^9+3 z a^9+2 z^8 a^8-13 z^6 a^8+20 z^4 a^8-6 z^2 a^8+z^7 a^7-6 z^5 a^7+6 z^3 a^7+z a^7+z^6 a^6-5 z^4 a^6+5 z^2 a^6-2 a^6+z^5 a^5-3 z^3 a^5+z^4 a^4-3 z^2 a^4 }[/math] |
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