K13n3714
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Polynomial invariants
| Jones polynomial | Data:K13n3714/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-11 t^3+19 t^2-29 t+35-29 t^{-1} +19 t^{-2} -11 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n3714/Conway Polynomial |
| Determinant | 165 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -7 z^8+5 a^2 z^6+6 z^6 a^{-2} -17 z^6+7 a^2 z^4+12 z^4 a^{-2} -z^4 a^{-4} -15 z^4+7 z^2 a^{-2} -3 z^2 a^{-4} -z^2-2 a^2- a^{-4} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +7 a^2 z^{10}+6 z^{10} a^{-2} +13 z^{10}+8 a^3 z^9+a z^9-3 z^9 a^{-1} +4 z^9 a^{-3} +7 a^4 z^8-16 a^2 z^8-22 z^8 a^{-2} +z^8 a^{-4} -46 z^8+4 a^5 z^7-17 a^3 z^7-16 a z^7-4 z^7 a^{-1} -9 z^7 a^{-3} +a^6 z^6-17 a^4 z^6+14 a^2 z^6+47 z^6 a^{-2} +4 z^6 a^{-4} +75 z^6-10 a^5 z^5+6 a^3 z^5+25 a z^5+20 z^5 a^{-1} +14 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+10 a^4 z^4-2 a^2 z^4-45 z^4 a^{-2} -13 z^4 a^{-4} -46 z^4+5 a^5 z^3+5 a^3 z^3-8 a z^3-16 z^3 a^{-1} -15 z^3 a^{-3} -7 z^3 a^{-5} -2 a^4 z^2-5 a^2 z^2+14 z^2 a^{-2} +8 z^2 a^{-4} +3 z^2-2 a^3 z-2 a z+2 z a^{-1} +5 z a^{-3} +3 z a^{-5} +2 a^2- a^{-4} +4 }[/math] |
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