K13a1037
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Polynomial invariants
| Jones polynomial | Data:K13a1037/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+13 t^3-34 t^2+56 t-65+56 t^{-1} -34 t^{-2} +13 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1037/Conway Polynomial |
| Determinant | 275 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -4 z^6 a^{-6} -2 z^6 a^{-8} +2 z^6 a^{-10} +4 z^4 a^{-4} -6 z^4 a^{-6} +3 z^4 a^{-8} +4 z^4 a^{-10} -z^4 a^{-12} +5 z^2 a^{-4} -5 z^2 a^{-6} +8 z^2 a^{-8} -2 z^2 a^{-10} -z^2 a^{-12} +2 a^{-4} -2 a^{-6} +4 a^{-8} -4 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-8} +z^{12} a^{-10} +3 z^{11} a^{-7} +8 z^{11} a^{-9} +5 z^{11} a^{-11} +4 z^{10} a^{-6} +11 z^{10} a^{-8} +19 z^{10} a^{-10} +12 z^{10} a^{-12} +3 z^9 a^{-5} +z^9 a^{-7} -z^9 a^{-9} +19 z^9 a^{-11} +18 z^9 a^{-13} +z^8 a^{-4} -11 z^8 a^{-6} -34 z^8 a^{-8} -39 z^8 a^{-10} +z^8 a^{-12} +18 z^8 a^{-14} -13 z^7 a^{-5} -30 z^7 a^{-7} -43 z^7 a^{-9} -58 z^7 a^{-11} -20 z^7 a^{-13} +12 z^7 a^{-15} -5 z^6 a^{-4} +z^6 a^{-6} +16 z^6 a^{-8} +4 z^6 a^{-10} -35 z^6 a^{-12} -24 z^6 a^{-14} +5 z^6 a^{-16} +19 z^5 a^{-5} +46 z^5 a^{-7} +49 z^5 a^{-9} +35 z^5 a^{-11} -z^5 a^{-13} -13 z^5 a^{-15} +z^5 a^{-17} +9 z^4 a^{-4} +17 z^4 a^{-6} +18 z^4 a^{-8} +21 z^4 a^{-10} +24 z^4 a^{-12} +10 z^4 a^{-14} -3 z^4 a^{-16} -10 z^3 a^{-5} -24 z^3 a^{-7} -16 z^3 a^{-9} -z^3 a^{-11} +5 z^3 a^{-13} +4 z^3 a^{-15} -7 z^2 a^{-4} -12 z^2 a^{-6} -16 z^2 a^{-8} -14 z^2 a^{-10} -4 z^2 a^{-12} -z^2 a^{-14} +z a^{-5} +5 z a^{-7} +z a^{-9} -4 z a^{-11} -z a^{-13} +2 a^{-4} +2 a^{-6} +4 a^{-8} +4 a^{-10} + a^{-12} }[/math] |
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