K13a1924
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Polynomial invariants
| Jones polynomial | Data:K13a1924/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+12 t^3-36 t^2+68 t-83+68 t^{-1} -36 t^{-2} +12 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1924/Conway Polynomial |
| Determinant | 319 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-2} -z^8 a^{-4} -4 z^6 a^{-2} -3 z^6 a^{-4} +2 z^6 a^{-6} +z^6-7 z^4 a^{-2} -4 z^4 a^{-4} +5 z^4 a^{-6} -z^4 a^{-8} +3 z^4-4 z^2 a^{-2} -2 z^2 a^{-4} +4 z^2 a^{-6} -z^2 a^{-8} +3 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-4} +2 z^{12} a^{-6} +7 z^{11} a^{-3} +15 z^{11} a^{-5} +8 z^{11} a^{-7} +11 z^{10} a^{-2} +22 z^{10} a^{-4} +24 z^{10} a^{-6} +13 z^{10} a^{-8} +11 z^9 a^{-1} +4 z^9 a^{-3} -19 z^9 a^{-5} -z^9 a^{-7} +11 z^9 a^{-9} -15 z^8 a^{-2} -67 z^8 a^{-4} -82 z^8 a^{-6} -33 z^8 a^{-8} +5 z^8 a^{-10} +8 z^8+4 a z^7-19 z^7 a^{-1} -34 z^7 a^{-3} -24 z^7 a^{-5} -46 z^7 a^{-7} -32 z^7 a^{-9} +z^7 a^{-11} +a^2 z^6+6 z^6 a^{-2} +80 z^6 a^{-4} +93 z^6 a^{-6} +22 z^6 a^{-8} -13 z^6 a^{-10} -15 z^6-8 a z^5+13 z^5 a^{-1} +47 z^5 a^{-3} +59 z^5 a^{-5} +62 z^5 a^{-7} +27 z^5 a^{-9} -2 z^5 a^{-11} -2 a^2 z^4+z^4 a^{-2} -44 z^4 a^{-4} -46 z^4 a^{-6} -5 z^4 a^{-8} +7 z^4 a^{-10} +9 z^4+4 a z^3-7 z^3 a^{-1} -27 z^3 a^{-3} -35 z^3 a^{-5} -27 z^3 a^{-7} -8 z^3 a^{-9} +a^2 z^2-2 z^2 a^{-2} +10 z^2 a^{-4} +9 z^2 a^{-6} +z^2 a^{-8} -3 z^2+2 z a^{-1} +6 z a^{-3} +6 z a^{-5} +2 z a^{-7} +1 }[/math] |
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