K13a2516
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Polynomial invariants
| Jones polynomial | Data:K13a2516/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:K13a2516/Conway Polynomial |
| Determinant | 275 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -3 z^6 a^{-6} -3 z^6 a^{-8} +2 z^6 a^{-10} +3 z^4 a^{-4} -z^4 a^{-6} -3 z^4 a^{-8} +6 z^4 a^{-10} -z^4 a^{-12} +3 z^2 a^{-4} +3 z^2 a^{-6} -3 z^2 a^{-8} +4 z^2 a^{-10} -2 z^2 a^{-12} + a^{-4} +2 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-8} +2 z^{12} a^{-10} +6 z^{11} a^{-7} +14 z^{11} a^{-9} +8 z^{11} a^{-11} +7 z^{10} a^{-6} +15 z^{10} a^{-8} +22 z^{10} a^{-10} +14 z^{10} a^{-12} +4 z^9 a^{-5} -9 z^9 a^{-7} -28 z^9 a^{-9} +15 z^9 a^{-13} +z^8 a^{-4} -23 z^8 a^{-6} -71 z^8 a^{-8} -87 z^8 a^{-10} -28 z^8 a^{-12} +12 z^8 a^{-14} -15 z^7 a^{-5} -24 z^7 a^{-7} -20 z^7 a^{-9} -48 z^7 a^{-11} -29 z^7 a^{-13} +8 z^7 a^{-15} -4 z^6 a^{-4} +19 z^6 a^{-6} +85 z^6 a^{-8} +106 z^6 a^{-10} +23 z^6 a^{-12} -17 z^6 a^{-14} +4 z^6 a^{-16} +18 z^5 a^{-5} +46 z^5 a^{-7} +65 z^5 a^{-9} +74 z^5 a^{-11} +26 z^5 a^{-13} -10 z^5 a^{-15} +z^5 a^{-17} +6 z^4 a^{-4} -4 z^4 a^{-6} -44 z^4 a^{-8} -57 z^4 a^{-10} -11 z^4 a^{-12} +7 z^4 a^{-14} -5 z^4 a^{-16} -8 z^3 a^{-5} -27 z^3 a^{-7} -44 z^3 a^{-9} -40 z^3 a^{-11} -11 z^3 a^{-13} +3 z^3 a^{-15} -z^3 a^{-17} -4 z^2 a^{-4} +3 z^2 a^{-6} +13 z^2 a^{-8} +11 z^2 a^{-10} +5 z^2 a^{-12} +z^2 a^{-14} +z^2 a^{-16} +z a^{-5} +8 z a^{-7} +10 z a^{-9} +5 z a^{-11} +2 z a^{-13} + a^{-4} -2 a^{-6} -2 a^{-8} }[/math] |
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