K13n2710
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Polynomial invariants
| Jones polynomial | Data:K13n2710/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-7 t^3+8 t^2-7 t+7-7 t^{-1} +8 t^{-2} -7 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2710/Conway Polynomial |
| Determinant | 57 |
| Signature | 8 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-8} +2 z^8 a^{-10} +6 z^6 a^{-8} +13 z^6 a^{-10} -2 z^6 a^{-12} +11 z^4 a^{-8} +27 z^4 a^{-10} -12 z^4 a^{-12} +7 z^2 a^{-8} +21 z^2 a^{-10} -20 z^2 a^{-12} +2 z^2 a^{-14} +2 a^{-8} +5 a^{-10} -9 a^{-12} +3 a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-11} +z^{11} a^{-13} +3 z^{10} a^{-10} +5 z^{10} a^{-12} +2 z^{10} a^{-14} +2 z^9 a^{-9} +2 z^9 a^{-15} +z^8 a^{-8} -17 z^8 a^{-10} -26 z^8 a^{-12} -7 z^8 a^{-14} +z^8 a^{-16} -10 z^7 a^{-9} -20 z^7 a^{-11} -19 z^7 a^{-13} -9 z^7 a^{-15} -6 z^6 a^{-8} +33 z^6 a^{-10} +45 z^6 a^{-12} +z^6 a^{-14} -5 z^6 a^{-16} +13 z^5 a^{-9} +44 z^5 a^{-11} +42 z^5 a^{-13} +11 z^5 a^{-15} +11 z^4 a^{-8} -33 z^4 a^{-10} -44 z^4 a^{-12} +8 z^4 a^{-14} +8 z^4 a^{-16} -3 z^3 a^{-9} -38 z^3 a^{-11} -40 z^3 a^{-13} -4 z^3 a^{-15} +z^3 a^{-17} -7 z^2 a^{-8} +18 z^2 a^{-10} +27 z^2 a^{-12} -z^2 a^{-14} -3 z^2 a^{-16} -z a^{-9} +12 z a^{-11} +16 z a^{-13} +2 z a^{-15} -z a^{-17} +2 a^{-8} -5 a^{-10} -9 a^{-12} -3 a^{-14} }[/math] |
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