K13a3833
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Polynomial invariants
| Jones polynomial | Data:K13a3833/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-22 t^2+52 t-67+52 t^{-1} -22 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13a3833/Conway Polynomial |
| Determinant | 223 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +z^6 a^{-6} +z^4 a^{-2} +4 z^4 a^{-4} -2 z^4 a^{-8} -z^4+z^2 a^{-2} +4 z^2 a^{-4} -2 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} -z^2+ a^{-2} +2 a^{-4} -2 a^{-6} - a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-6} +2 z^{12} a^{-8} +6 z^{11} a^{-5} +11 z^{11} a^{-7} +5 z^{11} a^{-9} +10 z^{10} a^{-4} +7 z^{10} a^{-6} +2 z^{10} a^{-8} +5 z^{10} a^{-10} +13 z^9 a^{-3} -6 z^9 a^{-5} -43 z^9 a^{-7} -21 z^9 a^{-9} +3 z^9 a^{-11} +12 z^8 a^{-2} -14 z^8 a^{-4} -33 z^8 a^{-6} -31 z^8 a^{-8} -23 z^8 a^{-10} +z^8 a^{-12} +8 z^7 a^{-1} -24 z^7 a^{-3} -4 z^7 a^{-5} +77 z^7 a^{-7} +35 z^7 a^{-9} -14 z^7 a^{-11} -20 z^6 a^{-2} -4 z^6 a^{-4} +44 z^6 a^{-6} +65 z^6 a^{-8} +36 z^6 a^{-10} -5 z^6 a^{-12} +4 z^6+a z^5-10 z^5 a^{-1} +17 z^5 a^{-3} -2 z^5 a^{-5} -85 z^5 a^{-7} -36 z^5 a^{-9} +19 z^5 a^{-11} +13 z^4 a^{-2} +20 z^4 a^{-4} -29 z^4 a^{-6} -64 z^4 a^{-8} -26 z^4 a^{-10} +7 z^4 a^{-12} -5 z^4-a z^3+2 z^3 a^{-1} -2 z^3 a^{-3} +15 z^3 a^{-5} +47 z^3 a^{-7} +20 z^3 a^{-9} -7 z^3 a^{-11} -3 z^2 a^{-2} -9 z^2 a^{-4} +5 z^2 a^{-6} +22 z^2 a^{-8} +10 z^2 a^{-10} -2 z^2 a^{-12} +z^2-7 z a^{-5} -13 z a^{-7} -5 z a^{-9} +z a^{-11} - a^{-2} +2 a^{-4} +2 a^{-6} - a^{-8} - a^{-10} }[/math] |
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