K13n3746
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Polynomial invariants
| Jones polynomial | Data:K13n3746/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+11 t^3-26 t^2+41 t-47+41 t^{-1} -26 t^{-2} +11 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3746/Conway Polynomial |
| Determinant | 207 |
| 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} -24 z^4 a^{-8} +12 z^4 a^{-10} -z^4 a^{-12} +18 z^2 a^{-6} -27 z^2 a^{-8} +16 z^2 a^{-10} -3 z^2 a^{-12} +8 a^{-6} -13 a^{-8} +8 a^{-10} -2 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} +10 z^9 a^{-9} +21 z^9 a^{-11} +14 z^9 a^{-13} -13 z^8 a^{-8} -22 z^8 a^{-10} +5 z^8 a^{-12} +14 z^8 a^{-14} -6 z^7 a^{-7} -37 z^7 a^{-9} -59 z^7 a^{-11} -19 z^7 a^{-13} +9 z^7 a^{-15} +6 z^6 a^{-6} +27 z^6 a^{-8} +10 z^6 a^{-10} -37 z^6 a^{-12} -22 z^6 a^{-14} +4 z^6 a^{-16} +8 z^5 a^{-7} +48 z^5 a^{-9} +60 z^5 a^{-11} +8 z^5 a^{-13} -11 z^5 a^{-15} +z^5 a^{-17} -20 z^4 a^{-6} -49 z^4 a^{-8} -15 z^4 a^{-10} +35 z^4 a^{-12} +17 z^4 a^{-14} -4 z^4 a^{-16} -14 z^3 a^{-7} -44 z^3 a^{-9} -38 z^3 a^{-11} -z^3 a^{-13} +6 z^3 a^{-15} -z^3 a^{-17} +22 z^2 a^{-6} +41 z^2 a^{-8} +17 z^2 a^{-10} -8 z^2 a^{-12} -5 z^2 a^{-14} +z^2 a^{-16} +9 z a^{-7} +18 z a^{-9} +12 z a^{-11} +2 z a^{-13} -z a^{-15} -8 a^{-6} -13 a^{-8} -8 a^{-10} -2 a^{-12} }[/math] |
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