K13n3531
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Polynomial invariants
| Jones polynomial | Data:K13n3531/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-22 t^2+43 t-53+43 t^{-1} -22 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3531/Conway Polynomial |
| Determinant | 199 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +2 z^6 a^{-2} -4 z^6 a^{-4} +z^6 a^{-6} +5 z^4 a^{-2} -6 z^4 a^{-4} +2 z^4 a^{-6} -z^4+4 z^2 a^{-2} -2 z^2 a^{-4} +z^2 a^{-6} -z^2+ a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +3 z^{10} a^{-2} +11 z^{10} a^{-4} +8 z^{10} a^{-6} +z^9 a^{-1} +4 z^9 a^{-3} +16 z^9 a^{-5} +13 z^9 a^{-7} -2 z^8 a^{-2} -14 z^8 a^{-4} -z^8 a^{-6} +11 z^8 a^{-8} +6 z^7 a^{-1} -z^7 a^{-3} -34 z^7 a^{-5} -22 z^7 a^{-7} +5 z^7 a^{-9} +12 z^6 a^{-2} +7 z^6 a^{-4} -22 z^6 a^{-6} -21 z^6 a^{-8} +z^6 a^{-10} +5 z^6+a z^5-6 z^5 a^{-1} -5 z^5 a^{-3} +14 z^5 a^{-5} +4 z^5 a^{-7} -8 z^5 a^{-9} -15 z^4 a^{-2} -6 z^4 a^{-4} +14 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} -6 z^4-a z^3+z^3 a^{-1} +3 z^3 a^{-3} +2 z^3 a^{-5} +4 z^3 a^{-7} +3 z^3 a^{-9} +6 z^2 a^{-2} +2 z^2 a^{-4} -3 z^2 a^{-6} -z^2 a^{-8} +2 z^2-2 z a^{-5} -2 z a^{-7} - a^{-2} + a^{-4} + a^{-6} }[/math] |
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