K13n4249
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Polynomial invariants
| Jones polynomial | Data:K13n4249/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-16 t^2+25 t-29+25 t^{-1} -16 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4249/Conway Polynomial |
| Determinant | 127 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-8} +2 z^6 a^{-6} -5 z^6 a^{-8} +2 z^6 a^{-10} +9 z^4 a^{-6} -10 z^4 a^{-8} +8 z^4 a^{-10} -z^4 a^{-12} +12 z^2 a^{-6} -11 z^2 a^{-8} +10 z^2 a^{-10} -3 z^2 a^{-12} +4 a^{-6} -5 a^{-8} +4 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +2 z^{10} a^{-8} +6 z^{10} a^{-10} +4 z^{10} a^{-12} +z^9 a^{-7} +z^9 a^{-9} +7 z^9 a^{-11} +7 z^9 a^{-13} -7 z^8 a^{-8} -20 z^8 a^{-10} -5 z^8 a^{-12} +8 z^8 a^{-14} -z^7 a^{-7} -7 z^7 a^{-9} -28 z^7 a^{-11} -16 z^7 a^{-13} +6 z^7 a^{-15} +3 z^6 a^{-6} +18 z^6 a^{-8} +39 z^6 a^{-10} +z^6 a^{-12} -20 z^6 a^{-14} +3 z^6 a^{-16} -2 z^5 a^{-7} +14 z^5 a^{-9} +47 z^5 a^{-11} +17 z^5 a^{-13} -13 z^5 a^{-15} +z^5 a^{-17} -12 z^4 a^{-6} -32 z^4 a^{-8} -44 z^4 a^{-10} +3 z^4 a^{-12} +22 z^4 a^{-14} -5 z^4 a^{-16} -z^3 a^{-7} -20 z^3 a^{-9} -35 z^3 a^{-11} -4 z^3 a^{-13} +10 z^3 a^{-15} -2 z^3 a^{-17} +14 z^2 a^{-6} +22 z^2 a^{-8} +19 z^2 a^{-10} +4 z^2 a^{-12} -7 z^2 a^{-14} +3 z a^{-7} +6 z a^{-9} +8 z a^{-11} +2 z a^{-13} -3 z a^{-15} -4 a^{-6} -5 a^{-8} -4 a^{-10} -2 a^{-12} }[/math] |
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