K13n4003
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Polynomial invariants
| Jones polynomial | Data:K13n4003/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-21 t^2+40 t-49+40 t^{-1} -21 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4003/Conway Polynomial |
| Determinant | 187 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} +z^6 a^{-2} -4 z^6 a^{-4} +2 z^6 a^{-6} +2 z^4 a^{-2} -5 z^4 a^{-4} +5 z^4 a^{-6} -z^4 a^{-8} +z^2 a^{-2} +z^2 a^{-4} +2 z^2 a^{-6} -z^2 a^{-8} +3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{11} a^{-5} +5 z^{11} a^{-7} +10 z^{10} a^{-4} +22 z^{10} a^{-6} +12 z^{10} a^{-8} +6 z^9 a^{-3} -3 z^9 a^{-5} +2 z^9 a^{-7} +11 z^9 a^{-9} +z^8 a^{-2} -36 z^8 a^{-4} -80 z^8 a^{-6} -38 z^8 a^{-8} +5 z^8 a^{-10} -13 z^7 a^{-3} -27 z^7 a^{-5} -50 z^7 a^{-7} -35 z^7 a^{-9} +z^7 a^{-11} +8 z^6 a^{-2} +61 z^6 a^{-4} +98 z^6 a^{-6} +32 z^6 a^{-8} -13 z^6 a^{-10} +5 z^5 a^{-1} +20 z^5 a^{-3} +48 z^5 a^{-5} +63 z^5 a^{-7} +28 z^5 a^{-9} -2 z^5 a^{-11} -11 z^4 a^{-2} -40 z^4 a^{-4} -46 z^4 a^{-6} -13 z^4 a^{-8} +5 z^4 a^{-10} +z^4-4 z^3 a^{-1} -11 z^3 a^{-3} -18 z^3 a^{-5} -20 z^3 a^{-7} -9 z^3 a^{-9} +3 z^2 a^{-2} +5 z^2 a^{-4} +6 z^2 a^{-6} +4 z^2 a^{-8} -2 z a^{-5} -z a^{-7} +z a^{-9} +3 a^{-4} +2 a^{-6} }[/math] |
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