K13n1742
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Polynomial invariants
| Jones polynomial | Data:K13n1742/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+11 t^3-26 t^2+42 t-49+42 t^{-1} -26 t^{-2} +11 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1742/Conway Polynomial |
| Determinant | 211 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^8 a^{-8} +3 z^6 a^{-6} -11 z^6 a^{-8} +3 z^6 a^{-10} +13 z^4 a^{-6} -23 z^4 a^{-8} +11 z^4 a^{-10} -z^4 a^{-12} +17 z^2 a^{-6} -22 z^2 a^{-8} +12 z^2 a^{-10} -2 z^2 a^{-12} +6 a^{-6} -8 a^{-8} +4 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-9} +2 z^{11} a^{-11} +5 z^{10} a^{-8} +13 z^{10} a^{-10} +8 z^{10} a^{-12} +3 z^9 a^{-7} +9 z^9 a^{-9} +21 z^9 a^{-11} +15 z^9 a^{-13} -14 z^8 a^{-8} -23 z^8 a^{-10} +8 z^8 a^{-12} +17 z^8 a^{-14} -6 z^7 a^{-7} -34 z^7 a^{-9} -55 z^7 a^{-11} -15 z^7 a^{-13} +12 z^7 a^{-15} +6 z^6 a^{-6} +27 z^6 a^{-8} +11 z^6 a^{-10} -39 z^6 a^{-12} -24 z^6 a^{-14} +5 z^6 a^{-16} +5 z^5 a^{-7} +40 z^5 a^{-9} +46 z^5 a^{-11} -4 z^5 a^{-13} -14 z^5 a^{-15} +z^5 a^{-17} -20 z^4 a^{-6} -42 z^4 a^{-8} -9 z^4 a^{-10} +26 z^4 a^{-12} +10 z^4 a^{-14} -3 z^4 a^{-16} -8 z^3 a^{-7} -25 z^3 a^{-9} -19 z^3 a^{-11} +2 z^3 a^{-13} +4 z^3 a^{-15} +20 z^2 a^{-6} +31 z^2 a^{-8} +11 z^2 a^{-10} -2 z^2 a^{-12} -2 z^2 a^{-14} +5 z a^{-7} +7 z a^{-9} +4 z a^{-11} +2 z a^{-13} -6 a^{-6} -8 a^{-8} -4 a^{-10} - a^{-12} }[/math] |
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