K13n4001
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Polynomial invariants
| Jones polynomial | Data:K13n4001/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-2 t^3-2 t^2+12 t-17+12 t^{-1} -2 t^{-2} -2 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n4001/Conway Polynomial |
| Determinant | 39 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +7 z^6 a^{-2} -z^6+14 z^4 a^{-2} -2 z^4 a^{-4} -z^4 a^{-6} -5 z^4+10 z^2 a^{-2} -2 z^2 a^{-4} -z^2 a^{-6} -5 z^2+ a^{-2} + a^{-4} - a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +3 z^{10} a^{-2} +z^{10} a^{-4} +2 z^{10}+a z^9-7 z^9 a^{-1} -7 z^9 a^{-3} +z^9 a^{-5} -26 z^8 a^{-2} -6 z^8 a^{-4} +4 z^8 a^{-6} -16 z^8-7 a z^7+10 z^7 a^{-1} +13 z^7 a^{-3} +z^7 a^{-5} +5 z^7 a^{-7} +70 z^6 a^{-2} +16 z^6 a^{-4} -11 z^6 a^{-6} +3 z^6 a^{-8} +40 z^6+14 a z^5+8 z^5 a^{-1} +z^5 a^{-3} -7 z^5 a^{-5} -13 z^5 a^{-7} +z^5 a^{-9} -67 z^4 a^{-2} -12 z^4 a^{-4} +11 z^4 a^{-6} -6 z^4 a^{-8} -38 z^4-9 a z^3-17 z^3 a^{-1} -9 z^3 a^{-3} +10 z^3 a^{-5} +9 z^3 a^{-7} -2 z^3 a^{-9} +20 z^2 a^{-2} +2 z^2 a^{-4} -5 z^2 a^{-6} +z^2 a^{-8} +12 z^2+2 a z+5 z a^{-1} +3 z a^{-3} -3 z a^{-5} -3 z a^{-7} - a^{-2} + a^{-4} + a^{-6} }[/math] |
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