K13n1283
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Polynomial invariants
| Jones polynomial | Data:K13n1283/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-19 t^2+28 t-31+28 t^{-1} -19 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1283/Conway Polynomial |
| Determinant | 147 |
| Signature | 6 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^8 a^{-8} +3 z^6 a^{-6} -13 z^6 a^{-8} +3 z^6 a^{-10} +15 z^4 a^{-6} -33 z^4 a^{-8} +14 z^4 a^{-10} -z^4 a^{-12} +23 z^2 a^{-6} -40 z^2 a^{-8} +21 z^2 a^{-10} -3 z^2 a^{-12} +11 a^{-6} -19 a^{-8} +11 a^{-10} -2 a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-9} +z^{11} a^{-11} +4 z^{10} a^{-8} +8 z^{10} a^{-10} +4 z^{10} a^{-12} +3 z^9 a^{-7} +9 z^9 a^{-9} +13 z^9 a^{-11} +7 z^9 a^{-13} -17 z^8 a^{-8} -22 z^8 a^{-10} +3 z^8 a^{-12} +8 z^8 a^{-14} -12 z^7 a^{-7} -50 z^7 a^{-9} -52 z^7 a^{-11} -7 z^7 a^{-13} +7 z^7 a^{-15} +6 z^6 a^{-6} +40 z^6 a^{-8} +23 z^6 a^{-10} -24 z^6 a^{-12} -9 z^6 a^{-14} +4 z^6 a^{-16} +23 z^5 a^{-7} +99 z^5 a^{-9} +85 z^5 a^{-11} -2 z^5 a^{-13} -10 z^5 a^{-15} +z^5 a^{-17} -25 z^4 a^{-6} -66 z^4 a^{-8} -14 z^4 a^{-10} +31 z^4 a^{-12} -2 z^4 a^{-14} -6 z^4 a^{-16} -32 z^3 a^{-7} -96 z^3 a^{-9} -65 z^3 a^{-11} +3 z^3 a^{-13} +3 z^3 a^{-15} -z^3 a^{-17} +30 z^2 a^{-6} +55 z^2 a^{-8} +15 z^2 a^{-10} -9 z^2 a^{-12} +3 z^2 a^{-14} +2 z^2 a^{-16} +17 z a^{-7} +36 z a^{-9} +21 z a^{-11} +z a^{-13} -z a^{-15} -11 a^{-6} -19 a^{-8} -11 a^{-10} -2 a^{-12} }[/math] |
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