K13n3050
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Polynomial invariants
| Jones polynomial | Data:K13n3050/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-14 t^2+32 t-41+32 t^{-1} -14 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3050/Conway Polynomial |
| Determinant | 139 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+6 z^4 a^{-2} -3 z^4 a^{-4} +2 z^4-2 a^2 z^2+7 z^2 a^{-2} -5 z^2 a^{-4} +z^2 a^{-6} +2 z^2-a^2+3 a^{-2} -2 a^{-4} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +3 z^{10} a^{-4} +3 z^{10}+4 a z^9+7 z^9 a^{-1} +6 z^9 a^{-3} +3 z^9 a^{-5} +3 a^2 z^8-8 z^8 a^{-2} -3 z^8 a^{-4} +z^8 a^{-6} -z^8+a^3 z^7-10 a z^7-21 z^7 a^{-1} -12 z^7 a^{-3} -2 z^7 a^{-5} -11 a^2 z^6+12 z^6 a^{-4} +6 z^6 a^{-6} -17 z^6-4 a^3 z^5+2 a z^5+11 z^5 a^{-1} +10 z^5 a^{-3} +10 z^5 a^{-5} +5 z^5 a^{-7} +13 a^2 z^4-7 z^4 a^{-2} -20 z^4 a^{-4} -5 z^4 a^{-6} +z^4 a^{-8} +20 z^4+5 a^3 z^3+7 a z^3-2 z^3 a^{-1} -13 z^3 a^{-3} -12 z^3 a^{-5} -3 z^3 a^{-7} -6 a^2 z^2+8 z^2 a^{-2} +11 z^2 a^{-4} +2 z^2 a^{-6} -7 z^2-2 a^3 z-3 a z+z a^{-1} +6 z a^{-3} +4 z a^{-5} +a^2-3 a^{-2} -2 a^{-4} +1 }[/math] |
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