K13a1596
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Polynomial invariants
| Jones polynomial | Data:K13a1596/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-7 t^4+21 t^3-41 t^2+60 t-67+60 t^{-1} -41 t^{-2} +21 t^{-3} -7 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a1596/Conway Polynomial |
| Determinant | 327 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +6 z^8 a^{-2} -z^8 a^{-4} -2 z^8+a^2 z^6+13 z^6 a^{-2} -4 z^6 a^{-4} -10 z^6+4 a^2 z^4+12 z^4 a^{-2} -4 z^4 a^{-4} -17 z^4+5 a^2 z^2+5 z^2 a^{-2} -12 z^2+2 a^2+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{12} a^{-2} +3 z^{12}+8 a z^{11}+19 z^{11} a^{-1} +11 z^{11} a^{-3} +8 a^2 z^{10}+25 z^{10} a^{-2} +19 z^{10} a^{-4} +14 z^{10}+4 a^3 z^9-20 a z^9-45 z^9 a^{-1} +z^9 a^{-3} +22 z^9 a^{-5} +a^4 z^8-29 a^2 z^8-86 z^8 a^{-2} -23 z^8 a^{-4} +19 z^8 a^{-6} -74 z^8-15 a^3 z^7+5 a z^7+18 z^7 a^{-1} -44 z^7 a^{-3} -30 z^7 a^{-5} +12 z^7 a^{-7} -4 a^4 z^6+35 a^2 z^6+81 z^6 a^{-2} -7 z^6 a^{-4} -24 z^6 a^{-6} +5 z^6 a^{-8} +98 z^6+18 a^3 z^5+10 a z^5+7 z^5 a^{-1} +34 z^5 a^{-3} +6 z^5 a^{-5} -12 z^5 a^{-7} +z^5 a^{-9} +5 a^4 z^4-21 a^2 z^4-32 z^4 a^{-2} +13 z^4 a^{-4} +8 z^4 a^{-6} -3 z^4 a^{-8} -60 z^4-8 a^3 z^3-3 a z^3+z^3 a^{-1} -2 z^3 a^{-3} +5 z^3 a^{-5} +3 z^3 a^{-7} -2 a^4 z^2+9 a^2 z^2+7 z^2 a^{-2} -3 z^2 a^{-4} +21 z^2+a^3 z-2 z a^{-1} -2 z a^{-3} -z a^{-5} -2 a^2-2 a^{-2} -3 }[/math] |
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