K13n4183
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Polynomial invariants
| Jones polynomial | Data:K13n4183/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+5 t^3-11 t^2+17 t-19+17 t^{-1} -11 t^{-2} +5 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4183/Conway Polynomial |
| Determinant | 87 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} +z^6 a^{-4} -5 z^6 a^{-6} +z^6 a^{-8} +4 z^4 a^{-4} -7 z^4 a^{-6} +2 z^4 a^{-8} +5 z^2 a^{-4} -z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} +2 a^{-4} +2 a^{-6} -5 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +3 z^{10} a^{-6} +5 z^{10} a^{-8} +2 z^{10} a^{-10} +3 z^9 a^{-5} +3 z^9 a^{-7} +2 z^9 a^{-9} +2 z^9 a^{-11} +z^8 a^{-4} -10 z^8 a^{-6} -15 z^8 a^{-8} -3 z^8 a^{-10} +z^8 a^{-12} -14 z^7 a^{-5} -25 z^7 a^{-7} -16 z^7 a^{-9} -5 z^7 a^{-11} -5 z^6 a^{-4} +z^6 a^{-6} +4 z^6 a^{-8} -4 z^6 a^{-10} -2 z^6 a^{-12} +19 z^5 a^{-5} +33 z^5 a^{-7} +21 z^5 a^{-9} +8 z^5 a^{-11} +z^5 a^{-13} +9 z^4 a^{-4} +15 z^4 a^{-6} +5 z^4 a^{-8} +5 z^4 a^{-10} +6 z^4 a^{-12} -6 z^3 a^{-5} -16 z^3 a^{-7} -23 z^3 a^{-9} -10 z^3 a^{-11} +3 z^3 a^{-13} -7 z^2 a^{-4} -5 z^2 a^{-6} +4 z^2 a^{-8} -3 z^2 a^{-10} -3 z^2 a^{-12} +2 z^2 a^{-14} -z a^{-5} +6 z a^{-7} +12 z a^{-9} +4 z a^{-11} -z a^{-13} +2 a^{-4} -2 a^{-6} -5 a^{-8} -2 a^{-10} }[/math] |
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