K13n1738
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Polynomial invariants
| Jones polynomial | Data:K13n1738/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-20 t^2+46 t-59+46 t^{-1} -20 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1738/Conway Polynomial |
| Determinant | 199 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 3 z^6 a^{-2} +z^6-a^2 z^4+10 z^4 a^{-2} -5 z^4 a^{-4} -a^2 z^2+14 z^2 a^{-2} -10 z^2 a^{-4} +2 z^2 a^{-6} -3 z^2+7 a^{-2} -5 a^{-4} + a^{-6} -2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +17 z^{10} a^{-2} +9 z^{10} a^{-4} +8 z^{10}+8 a z^9+11 z^9 a^{-1} +13 z^9 a^{-3} +10 z^9 a^{-5} +4 a^2 z^8-46 z^8 a^{-2} -18 z^8 a^{-4} +5 z^8 a^{-6} -19 z^8+a^3 z^7-25 a z^7-56 z^7 a^{-1} -52 z^7 a^{-3} -21 z^7 a^{-5} +z^7 a^{-7} -12 a^2 z^6+48 z^6 a^{-2} +29 z^6 a^{-4} +2 z^6 a^{-6} +9 z^6-3 a^3 z^5+25 a z^5+68 z^5 a^{-1} +67 z^5 a^{-3} +36 z^5 a^{-5} +9 z^5 a^{-7} +10 a^2 z^4-39 z^4 a^{-2} -35 z^4 a^{-4} -6 z^4 a^{-6} +3 z^4 a^{-8} -3 z^4+2 a^3 z^3-13 a z^3-37 z^3 a^{-1} -44 z^3 a^{-3} -32 z^3 a^{-5} -10 z^3 a^{-7} -3 a^2 z^2+25 z^2 a^{-2} +21 z^2 a^{-4} +3 z^2 a^{-6} -z^2 a^{-8} +5 z^2+3 a z+9 z a^{-1} +13 z a^{-3} +9 z a^{-5} +2 z a^{-7} -7 a^{-2} -5 a^{-4} - a^{-6} -2 }[/math] |
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