K13n3425
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Polynomial invariants
| Jones polynomial | Data:K13n3425/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+38 t-45+38 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3425/Conway Polynomial |
| Determinant | 179 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-6 z^4 a^{-2} +2 z^4 a^{-4} +6 z^4-2 a^2 z^2-4 z^2 a^{-2} +z^2 a^{-4} +6 z^2-a^2- a^{-2} +3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +12 z^{10} a^{-2} +6 z^{10} a^{-4} +6 z^{10}+7 a z^9+13 z^9 a^{-1} +12 z^9 a^{-3} +6 z^9 a^{-5} +4 a^2 z^8-21 z^8 a^{-2} -9 z^8 a^{-4} +2 z^8 a^{-6} -6 z^8+a^3 z^7-18 a z^7-47 z^7 a^{-1} -41 z^7 a^{-3} -13 z^7 a^{-5} -12 a^2 z^6-3 z^6 a^{-2} +7 z^6 a^{-4} +2 z^6 a^{-6} -20 z^6-3 a^3 z^5+10 a z^5+38 z^5 a^{-1} +46 z^5 a^{-3} +26 z^5 a^{-5} +5 z^5 a^{-7} +12 a^2 z^4+13 z^4 a^{-2} +2 z^4 a^{-4} +3 z^4 a^{-6} +z^4 a^{-8} +25 z^4+3 a^3 z^3+a z^3-14 z^3 a^{-1} -25 z^3 a^{-3} -17 z^3 a^{-5} -4 z^3 a^{-7} -5 a^2 z^2-7 z^2 a^{-2} -2 z^2 a^{-4} -2 z^2 a^{-6} -z^2 a^{-8} -11 z^2-a^3 z-a z+2 z a^{-1} +5 z a^{-3} +4 z a^{-5} +z a^{-7} +a^2+ a^{-2} +3 }[/math] |
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