K13a1036
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Polynomial invariants
| Jones polynomial | Data:K13a1036/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -6 t^3+33 t^2-75 t+97-75 t^{-1} +33 t^{-2} -6 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1036/Conway Polynomial |
| Determinant | 325 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} -2 z^6 a^{-8} +z^4 a^{-2} -6 z^4 a^{-6} -z^4 a^{-8} +3 z^4 a^{-10} +2 z^2 a^{-2} +2 z^2 a^{-4} -5 z^2 a^{-6} +3 z^2 a^{-8} +2 z^2 a^{-10} -z^2 a^{-12} + a^{-2} + a^{-4} -2 a^{-6} +2 a^{-8} - a^{-10} }[/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} +9 z^{10} a^{-6} +19 z^{10} a^{-8} +23 z^{10} a^{-10} +13 z^{10} a^{-12} +9 z^9 a^{-5} +8 z^9 a^{-7} -10 z^9 a^{-9} +2 z^9 a^{-11} +11 z^9 a^{-13} +6 z^8 a^{-4} -7 z^8 a^{-6} -43 z^8 a^{-8} -62 z^8 a^{-10} -27 z^8 a^{-12} +5 z^8 a^{-14} +3 z^7 a^{-3} -15 z^7 a^{-5} -37 z^7 a^{-7} -33 z^7 a^{-9} -43 z^7 a^{-11} -28 z^7 a^{-13} +z^7 a^{-15} +z^6 a^{-2} -10 z^6 a^{-4} -8 z^6 a^{-6} +26 z^6 a^{-8} +45 z^6 a^{-10} +10 z^6 a^{-12} -12 z^6 a^{-14} -6 z^5 a^{-3} +14 z^5 a^{-5} +47 z^5 a^{-7} +47 z^5 a^{-9} +43 z^5 a^{-11} +21 z^5 a^{-13} -2 z^5 a^{-15} -3 z^4 a^{-2} +6 z^4 a^{-4} +20 z^4 a^{-6} +6 z^4 a^{-8} -12 z^4 a^{-10} +z^4 a^{-12} +8 z^4 a^{-14} +3 z^3 a^{-3} -8 z^3 a^{-5} -24 z^3 a^{-7} -23 z^3 a^{-9} -17 z^3 a^{-11} -6 z^3 a^{-13} +z^3 a^{-15} +3 z^2 a^{-2} -3 z^2 a^{-4} -12 z^2 a^{-6} -8 z^2 a^{-8} -z^2 a^{-10} -z^2 a^{-14} +z a^{-5} +5 z a^{-7} +5 z a^{-9} +2 z a^{-11} +z a^{-13} - a^{-2} + a^{-4} +2 a^{-6} +2 a^{-8} + a^{-10} }[/math] |
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