K13n1381
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Polynomial invariants
| Jones polynomial | Data:K13n1381/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+7 t^3-11 t^2+12 t-11+12 t^{-1} -11 t^{-2} +7 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1381/Conway Polynomial |
| Determinant | 75 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-6} -z^8 a^{-8} +z^6 a^{-4} -5 z^6 a^{-6} -6 z^6 a^{-8} +z^6 a^{-10} +5 z^4 a^{-4} -7 z^4 a^{-6} -13 z^4 a^{-8} +6 z^4 a^{-10} +8 z^2 a^{-4} -3 z^2 a^{-6} -15 z^2 a^{-8} +10 z^2 a^{-10} -z^2 a^{-12} +4 a^{-4} -8 a^{-8} +6 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +2 z^{10} a^{-6} +6 z^{10} a^{-8} +4 z^{10} a^{-10} +2 z^9 a^{-5} +z^9 a^{-7} +5 z^9 a^{-9} +6 z^9 a^{-11} +z^8 a^{-4} -6 z^8 a^{-6} -27 z^8 a^{-8} -17 z^8 a^{-10} +3 z^8 a^{-12} -9 z^7 a^{-5} -18 z^7 a^{-7} -44 z^7 a^{-9} -35 z^7 a^{-11} -6 z^6 a^{-4} -2 z^6 a^{-6} +39 z^6 a^{-8} +19 z^6 a^{-10} -16 z^6 a^{-12} +10 z^5 a^{-5} +25 z^5 a^{-7} +87 z^5 a^{-9} +73 z^5 a^{-11} +z^5 a^{-13} +13 z^4 a^{-4} +10 z^4 a^{-6} -37 z^4 a^{-8} -6 z^4 a^{-10} +28 z^4 a^{-12} +z^3 a^{-5} -14 z^3 a^{-7} -77 z^3 a^{-9} -65 z^3 a^{-11} -3 z^3 a^{-13} -12 z^2 a^{-4} -3 z^2 a^{-6} +26 z^2 a^{-8} +4 z^2 a^{-10} -13 z^2 a^{-12} -4 z a^{-5} +5 z a^{-7} +27 z a^{-9} +22 z a^{-11} +4 z a^{-13} +4 a^{-4} -8 a^{-8} -6 a^{-10} - a^{-12} }[/math] |
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