K13n3472
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Polynomial invariants
| Jones polynomial | Data:K13n3472/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+8 t^3-25 t^2+47 t-57+47 t^{-1} -25 t^{-2} +8 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3472/Conway Polynomial |
| Determinant | 219 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -4 z^6 a^{-2} +3 z^6 a^{-4} +z^6-7 z^4 a^{-2} +10 z^4 a^{-4} -2 z^4 a^{-6} +2 z^4-5 z^2 a^{-2} +11 z^2 a^{-4} -4 z^2 a^{-6} +z^2+3 a^{-4} -2 a^{-6} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +8 z^{10} a^{-2} +13 z^{10} a^{-4} +5 z^{10} a^{-6} +13 z^9 a^{-1} +22 z^9 a^{-3} +13 z^9 a^{-5} +4 z^9 a^{-7} +5 z^8 a^{-2} -10 z^8 a^{-4} -3 z^8 a^{-6} +z^8 a^{-8} +11 z^8+5 a z^7-20 z^7 a^{-1} -52 z^7 a^{-3} -29 z^7 a^{-5} -2 z^7 a^{-7} +a^2 z^6-41 z^6 a^{-2} -21 z^6 a^{-4} +4 z^6 a^{-6} +6 z^6 a^{-8} -21 z^6-8 a z^5+2 z^5 a^{-1} +33 z^5 a^{-3} +24 z^5 a^{-5} +4 z^5 a^{-7} +3 z^5 a^{-9} -a^2 z^4+37 z^4 a^{-2} +32 z^4 a^{-4} -3 z^4 a^{-6} -11 z^4 a^{-8} +12 z^4+3 a z^3+3 z^3 a^{-1} -6 z^3 a^{-3} -8 z^3 a^{-5} -7 z^3 a^{-7} -5 z^3 a^{-9} -12 z^2 a^{-2} -16 z^2 a^{-4} -3 z^2 a^{-6} +4 z^2 a^{-8} -3 z^2+z a^{-3} +z a^{-5} +2 z a^{-7} +2 z a^{-9} +3 a^{-4} +2 a^{-6} }[/math] |
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