K13n2848
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Polynomial invariants
| Jones polynomial | Data:K13n2848/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^3-5 t^2+5-5 t^{-2} +3 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2848/Conway Polynomial |
| Determinant | 11 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-6} +2 z^6 a^{-8} +4 z^4 a^{-6} +10 z^4 a^{-8} -z^4 a^{-10} +3 z^2 a^{-6} +12 z^2 a^{-8} -6 z^2 a^{-10} -2 z^2 a^{-12} + a^{-6} +4 a^{-8} -4 a^{-10} - a^{-12} + a^{-14} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-12} +z^{10} a^{-14} +z^9 a^{-9} +z^9 a^{-11} +2 z^9 a^{-13} +2 z^9 a^{-15} +3 z^8 a^{-8} +2 z^8 a^{-10} -8 z^8 a^{-12} -6 z^8 a^{-14} +z^8 a^{-16} +2 z^7 a^{-7} -2 z^7 a^{-9} -7 z^7 a^{-11} -16 z^7 a^{-13} -13 z^7 a^{-15} +z^6 a^{-6} -14 z^6 a^{-8} -11 z^6 a^{-10} +18 z^6 a^{-12} +8 z^6 a^{-14} -6 z^6 a^{-16} -7 z^5 a^{-7} -8 z^5 a^{-9} +11 z^5 a^{-11} +37 z^5 a^{-13} +25 z^5 a^{-15} -4 z^4 a^{-6} +18 z^4 a^{-8} +16 z^4 a^{-10} -16 z^4 a^{-12} +10 z^4 a^{-16} +3 z^3 a^{-7} +16 z^3 a^{-9} -3 z^3 a^{-11} -33 z^3 a^{-13} -17 z^3 a^{-15} +3 z^2 a^{-6} -11 z^2 a^{-8} -10 z^2 a^{-10} +6 z^2 a^{-12} -2 z^2 a^{-14} -4 z^2 a^{-16} -7 z a^{-9} -2 z a^{-11} +10 z a^{-13} +5 z a^{-15} - a^{-6} +4 a^{-8} +4 a^{-10} - a^{-12} - a^{-14} }[/math] |
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