K13n3957
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Polynomial invariants
| Jones polynomial | Data:K13n3957/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-18 t^2+27 t-29+27 t^{-1} -18 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3957/Conway Polynomial |
| Determinant | 135 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8+2 a^2 z^6+z^6 a^{-2} -4 z^6-a^4 z^4+7 a^2 z^4+2 z^4 a^{-2} -4 z^4-3 a^4 z^2+6 a^2 z^2-z^2 a^{-2} -a^4+a^2- a^{-2} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a z^{11}+4 z^{11} a^{-1} +9 a^2 z^{10}+8 z^{10} a^{-2} +17 z^{10}+7 a^3 z^9-3 a z^9-5 z^9 a^{-1} +5 z^9 a^{-3} +2 a^4 z^8-36 a^2 z^8-34 z^8 a^{-2} +z^8 a^{-4} -73 z^8-24 a^3 z^7-35 a z^7-31 z^7 a^{-1} -20 z^7 a^{-3} +2 a^4 z^6+51 a^2 z^6+40 z^6 a^{-2} -3 z^6 a^{-4} +92 z^6+7 a^5 z^5+32 a^3 z^5+56 a z^5+52 z^5 a^{-1} +21 z^5 a^{-3} +3 a^6 z^4-10 a^4 z^4-40 a^2 z^4-13 z^4 a^{-2} +2 z^4 a^{-4} -42 z^4+a^7 z^3-9 a^5 z^3-23 a^3 z^3-27 a z^3-18 z^3 a^{-1} -4 z^3 a^{-3} -a^6 z^2+7 a^4 z^2+14 a^2 z^2-2 z^2 a^{-2} +4 z^2+3 a^5 z+6 a^3 z+4 a z-z a^{-3} -a^4-a^2+ a^{-2} +2 }[/math] |
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