K13n4289
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Polynomial invariants
| Jones polynomial | Data:K13n4289/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-18 t^2+44 t-57+44 t^{-1} -18 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4289/Conway Polynomial |
| Determinant | 187 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6 a^{-4} +4 z^4 a^{-2} +z^4 a^{-4} -z^4 a^{-6} -4 z^4+2 a^2 z^2+3 z^2 a^{-2} +2 z^2 a^{-4} -z^2 a^{-6} -7 z^2+2 a^2+ a^{-2} +2 a^{-4} - a^{-6} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +11 z^{10} a^{-2} +8 z^{10} a^{-4} +3 z^{10}+a z^9+2 z^9 a^{-1} +15 z^9 a^{-3} +14 z^9 a^{-5} -23 z^8 a^{-2} -3 z^8 a^{-4} +14 z^8 a^{-6} -6 z^8+3 a z^7-6 z^7 a^{-1} -44 z^7 a^{-3} -26 z^7 a^{-5} +9 z^7 a^{-7} +3 a^2 z^6+20 z^6 a^{-2} -20 z^6 a^{-4} -26 z^6 a^{-6} +4 z^6 a^{-8} +13 z^6-12 a z^5-3 z^5 a^{-1} +42 z^5 a^{-3} +20 z^5 a^{-5} -12 z^5 a^{-7} +z^5 a^{-9} -9 a^2 z^4-16 z^4 a^{-2} +28 z^4 a^{-4} +22 z^4 a^{-6} -4 z^4 a^{-8} -27 z^4+9 a z^3+2 z^3 a^{-1} -17 z^3 a^{-3} -4 z^3 a^{-5} +5 z^3 a^{-7} -z^3 a^{-9} +8 a^2 z^2+6 z^2 a^{-2} -12 z^2 a^{-4} -8 z^2 a^{-6} +18 z^2-2 a z-z a^{-1} +2 z a^{-3} -z a^{-7} -2 a^2- a^{-2} +2 a^{-4} + a^{-6} -3 }[/math] |
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