K13a1084
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Polynomial invariants
| Jones polynomial | Data:K13a1084/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 6 t^3-30 t^2+70 t-91+70 t^{-1} -30 t^{-2} +6 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1084/Conway Polynomial |
| Determinant | 303 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +3 z^6 a^{-4} +2 z^6 a^{-6} +7 z^4 a^{-4} +3 z^4 a^{-6} -3 z^4 a^{-8} -z^4-z^2 a^{-2} +8 z^2 a^{-4} +2 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} -z^2- a^{-2} +4 a^{-4} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-6} +2 z^{12} a^{-8} +8 z^{11} a^{-5} +14 z^{11} a^{-7} +6 z^{11} a^{-9} +15 z^{10} a^{-4} +24 z^{10} a^{-6} +16 z^{10} a^{-8} +7 z^{10} a^{-10} +18 z^9 a^{-3} +11 z^9 a^{-5} -19 z^9 a^{-7} -8 z^9 a^{-9} +4 z^9 a^{-11} +15 z^8 a^{-2} -13 z^8 a^{-4} -70 z^8 a^{-6} -67 z^8 a^{-8} -24 z^8 a^{-10} +z^8 a^{-12} +9 z^7 a^{-1} -27 z^7 a^{-3} -62 z^7 a^{-5} -36 z^7 a^{-7} -26 z^7 a^{-9} -16 z^7 a^{-11} -22 z^6 a^{-2} -22 z^6 a^{-4} +48 z^6 a^{-6} +72 z^6 a^{-8} +24 z^6 a^{-10} -4 z^6 a^{-12} +4 z^6+a z^5-10 z^5 a^{-1} +13 z^5 a^{-3} +56 z^5 a^{-5} +64 z^5 a^{-7} +54 z^5 a^{-9} +22 z^5 a^{-11} +17 z^4 a^{-2} +35 z^4 a^{-4} -6 z^4 a^{-6} -31 z^4 a^{-8} -6 z^4 a^{-10} +5 z^4 a^{-12} -4 z^4-a z^3+5 z^3 a^{-1} +3 z^3 a^{-3} -15 z^3 a^{-5} -34 z^3 a^{-7} -35 z^3 a^{-9} -13 z^3 a^{-11} -6 z^2 a^{-2} -18 z^2 a^{-4} -4 z^2 a^{-6} +9 z^2 a^{-8} -2 z^2 a^{-12} +z^2-z a^{-1} -2 z a^{-3} -z a^{-5} +7 z a^{-7} +10 z a^{-9} +3 z a^{-11} + a^{-2} +4 a^{-4} -3 a^{-8} - a^{-10} }[/math] |
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