K13n4862
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Polynomial invariants
| Jones polynomial | Data:K13n4862/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+7 t^3-25 t^2+52 t-65+52 t^{-1} -25 t^{-2} +7 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n4862/Conway Polynomial |
| Determinant | 235 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +z^6 a^{-4} +2 z^6-a^2 z^4-8 z^4 a^{-2} +z^4 a^{-4} +5 z^4-a^2 z^2-7 z^2 a^{-2} +z^2 a^{-4} +z^2 a^{-6} +5 z^2-2 a^{-2} + a^{-4} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 z^{11} a^{-1} +3 z^{11} a^{-3} +19 z^{10} a^{-2} +10 z^{10} a^{-4} +9 z^{10}+10 a z^9+22 z^9 a^{-1} +24 z^9 a^{-3} +12 z^9 a^{-5} +5 a^2 z^8-27 z^8 a^{-2} -7 z^8 a^{-4} +6 z^8 a^{-6} -9 z^8+a^3 z^7-26 a z^7-78 z^7 a^{-1} -73 z^7 a^{-3} -21 z^7 a^{-5} +z^7 a^{-7} -13 a^2 z^6-23 z^6 a^{-2} -9 z^6 a^{-4} -27 z^6-2 a^3 z^5+20 a z^5+70 z^5 a^{-1} +70 z^5 a^{-3} +31 z^5 a^{-5} +9 z^5 a^{-7} +11 a^2 z^4+39 z^4 a^{-2} +12 z^4 a^{-4} +2 z^4 a^{-6} +3 z^4 a^{-8} +37 z^4+a^3 z^3-5 a z^3-28 z^3 a^{-1} -36 z^3 a^{-3} -22 z^3 a^{-5} -8 z^3 a^{-7} -3 a^2 z^2-17 z^2 a^{-2} -5 z^2 a^{-4} -z^2 a^{-6} -2 z^2 a^{-8} -14 z^2+a z+5 z a^{-1} +8 z a^{-3} +6 z a^{-5} +2 z a^{-7} +2 a^{-2} + a^{-4} +2 }[/math] |
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