K13n3837
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Polynomial invariants
| Jones polynomial | Data:K13n3837/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-6 t^3-t^2+19 t-29+19 t^{-1} - t^{-2} -6 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n3837/Conway Polynomial |
| Determinant | 51 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +2 z^8 a^{-10} +6 z^6 a^{-8} +14 z^6 a^{-10} -2 z^6 a^{-12} +10 z^4 a^{-8} +29 z^4 a^{-10} -16 z^4 a^{-12} +7 z^2 a^{-8} +24 z^2 a^{-10} -28 z^2 a^{-12} +6 z^2 a^{-14} +2 a^{-8} +7 a^{-10} -14 a^{-12} +7 a^{-14} - a^{-16} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +4 z^{10} a^{-12} +3 z^{10} a^{-14} +2 z^{10} a^{-16} +2 z^9 a^{-9} -3 z^9 a^{-11} -2 z^9 a^{-13} +8 z^9 a^{-15} +5 z^9 a^{-17} +z^8 a^{-8} -20 z^8 a^{-10} -31 z^8 a^{-12} -14 z^8 a^{-14} +4 z^8 a^{-18} -11 z^7 a^{-9} -18 z^7 a^{-11} -23 z^7 a^{-13} -35 z^7 a^{-15} -18 z^7 a^{-17} +z^7 a^{-19} -6 z^6 a^{-8} +38 z^6 a^{-10} +68 z^6 a^{-12} +17 z^6 a^{-14} -22 z^6 a^{-16} -15 z^6 a^{-18} +13 z^5 a^{-9} +59 z^5 a^{-11} +77 z^5 a^{-13} +49 z^5 a^{-15} +15 z^5 a^{-17} -3 z^5 a^{-19} +10 z^4 a^{-8} -34 z^4 a^{-10} -63 z^4 a^{-12} -9 z^4 a^{-14} +24 z^4 a^{-16} +14 z^4 a^{-18} -3 z^3 a^{-9} -52 z^3 a^{-11} -83 z^3 a^{-13} -41 z^3 a^{-15} -5 z^3 a^{-17} +2 z^3 a^{-19} -7 z^2 a^{-8} +22 z^2 a^{-10} +40 z^2 a^{-12} +6 z^2 a^{-14} -7 z^2 a^{-16} -2 z^2 a^{-18} -z a^{-9} +18 z a^{-11} +32 z a^{-13} +15 z a^{-15} +2 z a^{-17} +2 a^{-8} -7 a^{-10} -14 a^{-12} -7 a^{-14} - a^{-16} }[/math] |
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