K13a1125
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Polynomial invariants
| Jones polynomial | Data:K13a1125/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-19 t^3+58 t^2-106 t+129-106 t^{-1} +58 t^{-2} -19 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1125/Conway Polynomial |
| Determinant | 501 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +2 z^8 a^{-6} -z^6 a^{-2} +2 z^6 a^{-4} +7 z^6 a^{-6} -3 z^6 a^{-8} -2 z^4 a^{-2} +2 z^4 a^{-4} +10 z^4 a^{-6} -7 z^4 a^{-8} +z^4 a^{-10} -z^2 a^{-2} +3 z^2 a^{-4} +6 z^2 a^{-6} -6 z^2 a^{-8} +z^2 a^{-10} +2 a^{-4} + a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{12} a^{-6} +5 z^{12} a^{-8} +15 z^{11} a^{-5} +35 z^{11} a^{-7} +20 z^{11} a^{-9} +18 z^{10} a^{-4} +43 z^{10} a^{-6} +59 z^{10} a^{-8} +34 z^{10} a^{-10} +12 z^9 a^{-3} -6 z^9 a^{-5} -34 z^9 a^{-7} +16 z^9 a^{-9} +32 z^9 a^{-11} +5 z^8 a^{-2} -36 z^8 a^{-4} -129 z^8 a^{-6} -153 z^8 a^{-8} -47 z^8 a^{-10} +18 z^8 a^{-12} +z^7 a^{-1} -26 z^7 a^{-3} -45 z^7 a^{-5} -66 z^7 a^{-7} -106 z^7 a^{-9} -52 z^7 a^{-11} +6 z^7 a^{-13} -11 z^6 a^{-2} +25 z^6 a^{-4} +123 z^6 a^{-6} +118 z^6 a^{-8} +9 z^6 a^{-10} -21 z^6 a^{-12} +z^6 a^{-14} -2 z^5 a^{-1} +20 z^5 a^{-3} +60 z^5 a^{-5} +102 z^5 a^{-7} +97 z^5 a^{-9} +30 z^5 a^{-11} -3 z^5 a^{-13} +8 z^4 a^{-2} -7 z^4 a^{-4} -51 z^4 a^{-6} -40 z^4 a^{-8} +3 z^4 a^{-10} +7 z^4 a^{-12} +z^3 a^{-1} -7 z^3 a^{-3} -27 z^3 a^{-5} -45 z^3 a^{-7} -37 z^3 a^{-9} -11 z^3 a^{-11} -2 z^2 a^{-2} -2 z^2 a^{-4} +10 z^2 a^{-6} +12 z^2 a^{-8} -2 z^2 a^{-12} +z a^{-3} +2 z a^{-5} +7 z a^{-7} +9 z a^{-9} +3 z a^{-11} +2 a^{-4} - a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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