K13n3045
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Polynomial invariants
| Jones polynomial | Data:K13n3045/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-17 t^2+40 t-51+40 t^{-1} -17 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3045/Conway Polynomial |
| Determinant | 171 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^6 a^{-2} +z^6-a^2 z^4+4 z^4 a^{-2} -3 z^4 a^{-4} +z^4-a^2 z^2+z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} +z^2-2 a^{-2} + a^{-4} +2 }[/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+12 z^9 a^{-1} +11 z^9 a^{-3} +6 z^9 a^{-5} +4 a^2 z^8-26 z^8 a^{-2} -11 z^8 a^{-4} +2 z^8 a^{-6} -9 z^8+a^3 z^7-21 a z^7-51 z^7 a^{-1} -43 z^7 a^{-3} -14 z^7 a^{-5} -13 a^2 z^6+8 z^6 a^{-2} +11 z^6 a^{-4} +2 z^6 a^{-6} -14 z^6-3 a^3 z^5+18 a z^5+55 z^5 a^{-1} +56 z^5 a^{-3} +27 z^5 a^{-5} +5 z^5 a^{-7} +13 a^2 z^4+10 z^4 a^{-2} +2 z^4 a^{-6} +z^4 a^{-8} +24 z^4+2 a^3 z^3-7 a z^3-29 z^3 a^{-1} -34 z^3 a^{-3} -18 z^3 a^{-5} -4 z^3 a^{-7} -5 a^2 z^2-10 z^2 a^{-2} -4 z^2 a^{-4} -2 z^2 a^{-6} -z^2 a^{-8} -12 z^2+2 a z+7 z a^{-1} +8 z a^{-3} +4 z a^{-5} +z a^{-7} +2 a^{-2} + a^{-4} +2 }[/math] |
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