K13n3607
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Polynomial invariants
| Jones polynomial | Data:K13n3607/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-27 t^2+53 t-65+53 t^{-1} -27 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3607/Conway Polynomial |
| Determinant | 243 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +3 z^6 a^{-4} +z^6-8 z^4 a^{-2} +9 z^4 a^{-4} -2 z^4 a^{-6} +2 z^4-7 z^2 a^{-2} +9 z^2 a^{-4} -3 z^2 a^{-6} +2 z^2- a^{-2} +2 a^{-4} - a^{-6} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +9 z^{10} a^{-2} +14 z^{10} a^{-4} +5 z^{10} a^{-6} +15 z^9 a^{-1} +29 z^9 a^{-3} +18 z^9 a^{-5} +4 z^9 a^{-7} +10 z^8 a^{-2} +3 z^8 a^{-4} +6 z^8 a^{-6} +z^8 a^{-8} +12 z^8+5 a z^7-23 z^7 a^{-1} -62 z^7 a^{-3} -29 z^7 a^{-5} +5 z^7 a^{-7} +a^2 z^6-55 z^6 a^{-2} -57 z^6 a^{-4} -17 z^6 a^{-6} +8 z^6 a^{-8} -22 z^6-7 a z^5+7 z^5 a^{-1} +30 z^5 a^{-3} +z^5 a^{-5} -12 z^5 a^{-7} +3 z^5 a^{-9} -a^2 z^4+48 z^4 a^{-2} +56 z^4 a^{-4} +13 z^4 a^{-6} -11 z^4 a^{-8} +15 z^4+3 a z^3-z^3 a^{-1} -z^3 a^{-3} +14 z^3 a^{-5} +8 z^3 a^{-7} -3 z^3 a^{-9} -17 z^2 a^{-2} -19 z^2 a^{-4} -5 z^2 a^{-6} +2 z^2 a^{-8} -5 z^2-z a^{-3} -3 z a^{-5} -2 z a^{-7} + a^{-2} +2 a^{-4} + a^{-6} +1 }[/math] |
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