K13a246
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Polynomial invariants
| Jones polynomial | Data:K13a246/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-9 t^3+35 t^2-72 t+91-72 t^{-1} +35 t^{-2} -9 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13a246/Conway Polynomial |
| Determinant | 325 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +4 z^6 a^{-4} -4 z^6 a^{-6} -2 z^4 a^{-2} +9 z^4 a^{-4} -12 z^4 a^{-6} +6 z^4 a^{-8} -z^2 a^{-2} +10 z^2 a^{-4} -14 z^2 a^{-6} +12 z^2 a^{-8} -4 z^2 a^{-10} +4 a^{-4} -6 a^{-6} +6 a^{-8} -4 a^{-10} + a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-6} +z^{12} a^{-8} +5 z^{11} a^{-5} +9 z^{11} a^{-7} +4 z^{11} a^{-9} +10 z^{10} a^{-4} +23 z^{10} a^{-6} +21 z^{10} a^{-8} +8 z^{10} a^{-10} +10 z^9 a^{-3} +18 z^9 a^{-5} +21 z^9 a^{-7} +23 z^9 a^{-9} +10 z^9 a^{-11} +5 z^8 a^{-2} -11 z^8 a^{-4} -37 z^8 a^{-6} -21 z^8 a^{-8} +8 z^8 a^{-10} +8 z^8 a^{-12} +z^7 a^{-1} -25 z^7 a^{-3} -73 z^7 a^{-5} -91 z^7 a^{-7} -58 z^7 a^{-9} -10 z^7 a^{-11} +4 z^7 a^{-13} -13 z^6 a^{-2} -23 z^6 a^{-4} -23 z^6 a^{-6} -40 z^6 a^{-8} -42 z^6 a^{-10} -14 z^6 a^{-12} +z^6 a^{-14} -2 z^5 a^{-1} +19 z^5 a^{-3} +71 z^5 a^{-5} +90 z^5 a^{-7} +44 z^5 a^{-9} -4 z^5 a^{-11} -8 z^5 a^{-13} +11 z^4 a^{-2} +38 z^4 a^{-4} +61 z^4 a^{-6} +68 z^4 a^{-8} +46 z^4 a^{-10} +10 z^4 a^{-12} -2 z^4 a^{-14} +z^3 a^{-1} -5 z^3 a^{-3} -27 z^3 a^{-5} -37 z^3 a^{-7} -12 z^3 a^{-9} +10 z^3 a^{-11} +6 z^3 a^{-13} -3 z^2 a^{-2} -19 z^2 a^{-4} -34 z^2 a^{-6} -34 z^2 a^{-8} -21 z^2 a^{-10} -4 z^2 a^{-12} +z^2 a^{-14} +z a^{-3} +3 z a^{-5} +6 z a^{-7} +2 z a^{-9} -4 z a^{-11} -2 z a^{-13} +4 a^{-4} +6 a^{-6} +6 a^{-8} +4 a^{-10} + a^{-12} }[/math] |
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