K12n626
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Polynomial invariants
| Jones polynomial | [math]\displaystyle{ 3 q^{-2} -9 q^{-3} +16 q^{-4} -21 q^{-5} +26 q^{-6} -25 q^{-7} +22 q^{-8} -17 q^{-9} +9 q^{-10} -4 q^{-11} + q^{-12} }[/math] |
| Alexander polynomial | [math]\displaystyle{ -2 t^3+15 t^2-36 t+47-36 t^{-1} +15 t^{-2} -2 t^{-3} }[/math] |
| Conway polynomial | [math]\displaystyle{ -2 z^6+3 z^4+6 z^2+1 }[/math] |
| Determinant | 153 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^{12}-4 z^2 a^{10}-4 a^{10}+5 z^4 a^8+9 z^2 a^8+3 a^8-2 z^6 a^6-5 z^4 a^6-4 z^2 a^6+3 z^4 a^4+5 z^2 a^4+a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-2 z^4 a^{14}+z^2 a^{14}+4 z^7 a^{13}-9 z^5 a^{13}+7 z^3 a^{13}-2 z a^{13}+7 z^8 a^{12}-13 z^6 a^{12}+6 z^4 a^{12}-z^2 a^{12}+a^{12}+7 z^9 a^{11}-6 z^7 a^{11}-13 z^5 a^{11}+18 z^3 a^{11}-9 z a^{11}+3 z^{10} a^{10}+12 z^8 a^{10}-37 z^6 a^{10}+27 z^4 a^{10}-11 z^2 a^{10}+4 a^{10}+16 z^9 a^9-26 z^7 a^9+5 z^5 a^9+7 z^3 a^9-5 z a^9+3 z^{10} a^8+14 z^8 a^8-36 z^6 a^8+25 z^4 a^8-7 z^2 a^8+3 a^8+9 z^9 a^7-13 z^7 a^7+15 z^5 a^7-13 z^3 a^7+3 z a^7+9 z^8 a^6-13 z^6 a^6+12 z^4 a^6-4 z^2 a^6+3 z^7 a^5+6 z^5 a^5-9 z^3 a^5+z a^5+6 z^4 a^4-6 z^2 a^4+a^4 }[/math] |
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