K13n2456
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Polynomial invariants
| Jones polynomial | Data:K13n2456/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-15 t^2+30 t-37+30 t^{-1} -15 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2456/Conway Polynomial |
| Determinant | 135 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-4} +3 z^6 a^{-6} -z^4 a^{-2} +z^4 a^{-4} +13 z^4 a^{-6} -4 z^4 a^{-8} -z^2 a^{-2} -2 z^2 a^{-4} +20 z^2 a^{-6} -12 z^2 a^{-8} +z^2 a^{-10} -2 a^{-4} +10 a^{-6} -9 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +7 z^{10} a^{-6} +12 z^{10} a^{-8} +5 z^{10} a^{-10} +8 z^9 a^{-5} +10 z^9 a^{-7} +6 z^9 a^{-9} +4 z^9 a^{-11} +4 z^8 a^{-4} -21 z^8 a^{-6} -44 z^8 a^{-8} -18 z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-3} -25 z^7 a^{-5} -62 z^7 a^{-7} -54 z^7 a^{-9} -18 z^7 a^{-11} -3 z^6 a^{-4} +28 z^6 a^{-6} +48 z^6 a^{-8} +13 z^6 a^{-10} -4 z^6 a^{-12} +5 z^5 a^{-3} +38 z^5 a^{-5} +97 z^5 a^{-7} +90 z^5 a^{-9} +26 z^5 a^{-11} +4 z^4 a^{-2} -2 z^4 a^{-4} -38 z^4 a^{-6} -32 z^4 a^{-8} +5 z^4 a^{-10} +5 z^4 a^{-12} +z^3 a^{-1} -4 z^3 a^{-3} -35 z^3 a^{-5} -76 z^3 a^{-7} -60 z^3 a^{-9} -14 z^3 a^{-11} -z^2 a^{-2} +5 z^2 a^{-4} +28 z^2 a^{-6} +23 z^2 a^{-8} -z^2 a^{-10} -2 z^2 a^{-12} +3 z a^{-3} +12 z a^{-5} +24 z a^{-7} +18 z a^{-9} +3 z a^{-11} -2 a^{-4} -10 a^{-6} -9 a^{-8} -2 a^{-10} }[/math] |
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