K13n2758
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Polynomial invariants
| Jones polynomial | Data:K13n2758/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-23 t^2+40 t-47+40 t^{-1} -23 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2758/Conway Polynomial |
| Determinant | 195 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^8 a^{-4} +2 z^6 a^{-2} -12 z^6 a^{-4} +3 z^6 a^{-6} +8 z^4 a^{-2} -28 z^4 a^{-4} +12 z^4 a^{-6} -z^4 a^{-8} +12 z^2 a^{-2} -29 z^2 a^{-4} +16 z^2 a^{-6} -2 z^2 a^{-8} +7 a^{-2} -12 a^{-4} +7 a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +7 z^{10} a^{-4} +14 z^{10} a^{-6} +7 z^{10} a^{-8} +7 z^9 a^{-3} +17 z^9 a^{-5} +19 z^9 a^{-7} +9 z^9 a^{-9} +3 z^8 a^{-2} -12 z^8 a^{-4} -26 z^8 a^{-6} -6 z^8 a^{-8} +5 z^8 a^{-10} +z^7 a^{-1} -10 z^7 a^{-3} -59 z^7 a^{-5} -74 z^7 a^{-7} -25 z^7 a^{-9} +z^7 a^{-11} +7 z^6 a^{-2} +26 z^6 a^{-4} +3 z^6 a^{-6} -30 z^6 a^{-8} -14 z^6 a^{-10} +5 z^5 a^{-1} +16 z^5 a^{-3} +77 z^5 a^{-5} +86 z^5 a^{-7} +18 z^5 a^{-9} -2 z^5 a^{-11} -16 z^4 a^{-2} -46 z^4 a^{-4} +2 z^4 a^{-6} +40 z^4 a^{-8} +11 z^4 a^{-10} +3 z^4-4 z^3 a^{-1} -13 z^3 a^{-3} -56 z^3 a^{-5} -53 z^3 a^{-7} -5 z^3 a^{-9} +z^3 a^{-11} +17 z^2 a^{-2} +40 z^2 a^{-4} +9 z^2 a^{-6} -13 z^2 a^{-8} -2 z^2 a^{-10} -3 z^2+6 z a^{-3} +18 z a^{-5} +15 z a^{-7} +3 z a^{-9} -7 a^{-2} -12 a^{-4} -7 a^{-6} - a^{-8} }[/math] |
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