K13n4243
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Polynomial invariants
| Jones polynomial | Data:K13n4243/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+10 t^3-23 t^2+37 t-43+37 t^{-1} -23 t^{-2} +10 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4243/Conway Polynomial |
| Determinant | 187 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^8 a^{-4} +2 z^6 a^{-2} -11 z^6 a^{-4} +3 z^6 a^{-6} +7 z^4 a^{-2} -21 z^4 a^{-4} +12 z^4 a^{-6} -z^4 a^{-8} +7 z^2 a^{-2} -15 z^2 a^{-4} +14 z^2 a^{-6} -3 z^2 a^{-8} +2 a^{-2} -3 a^{-4} +4 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-5} +3 z^{11} a^{-7} +8 z^{10} a^{-4} +16 z^{10} a^{-6} +8 z^{10} a^{-8} +8 z^9 a^{-3} +9 z^9 a^{-5} +9 z^9 a^{-7} +8 z^9 a^{-9} +4 z^8 a^{-2} -17 z^8 a^{-4} -46 z^8 a^{-6} -21 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -14 z^7 a^{-3} -41 z^7 a^{-5} -53 z^7 a^{-7} -26 z^7 a^{-9} +z^7 a^{-11} +3 z^6 a^{-2} +26 z^6 a^{-4} +48 z^6 a^{-6} +13 z^6 a^{-8} -12 z^6 a^{-10} +7 z^5 a^{-1} +19 z^5 a^{-3} +51 z^5 a^{-5} +69 z^5 a^{-7} +27 z^5 a^{-9} -3 z^5 a^{-11} -8 z^4 a^{-2} -28 z^4 a^{-4} -31 z^4 a^{-6} -5 z^4 a^{-8} +9 z^4 a^{-10} +3 z^4-8 z^3 a^{-1} -13 z^3 a^{-3} -26 z^3 a^{-5} -39 z^3 a^{-7} -16 z^3 a^{-9} +2 z^3 a^{-11} +5 z^2 a^{-2} +17 z^2 a^{-4} +16 z^2 a^{-6} +4 z^2 a^{-8} -2 z^2 a^{-10} -2 z^2+z a^{-1} +3 z a^{-3} +5 z a^{-5} +8 z a^{-7} +5 z a^{-9} -2 a^{-2} -3 a^{-4} -4 a^{-6} -2 a^{-8} }[/math] |
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