K13n360
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Polynomial invariants
| Jones polynomial | Data:K13n360/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-4 t^3+11 t^2-19 t+23-19 t^{-1} +11 t^{-2} -4 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n360/Conway Polynomial |
| Determinant | 93 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -z^6 a^{-2} +5 z^6 a^{-4} -3 z^4 a^{-2} +9 z^4 a^{-4} +3 z^4 a^{-6} -2 z^4 a^{-8} -3 z^2 a^{-2} +7 z^2 a^{-4} +8 z^2 a^{-6} -8 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +2 a^{-4} +5 a^{-6} -7 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-5} +z^{11} a^{-7} +4 z^{10} a^{-4} +6 z^{10} a^{-6} +3 z^{10} a^{-8} +z^{10} a^{-10} +6 z^9 a^{-3} +8 z^9 a^{-5} +3 z^9 a^{-7} +3 z^9 a^{-9} +2 z^9 a^{-11} +4 z^8 a^{-2} -4 z^8 a^{-4} -19 z^8 a^{-6} -19 z^8 a^{-8} -7 z^8 a^{-10} +z^8 a^{-12} +z^7 a^{-1} -17 z^7 a^{-3} -38 z^7 a^{-5} -35 z^7 a^{-7} -29 z^7 a^{-9} -14 z^7 a^{-11} -13 z^6 a^{-2} -23 z^6 a^{-4} +11 z^6 a^{-6} +34 z^6 a^{-8} +7 z^6 a^{-10} -6 z^6 a^{-12} -3 z^5 a^{-1} +6 z^5 a^{-3} +40 z^5 a^{-5} +77 z^5 a^{-7} +73 z^5 a^{-9} +27 z^5 a^{-11} +12 z^4 a^{-2} +28 z^4 a^{-4} +3 z^4 a^{-6} -16 z^4 a^{-8} +6 z^4 a^{-10} +9 z^4 a^{-12} +3 z^3 a^{-1} +3 z^3 a^{-3} -20 z^3 a^{-5} -62 z^3 a^{-7} -63 z^3 a^{-9} -21 z^3 a^{-11} -5 z^2 a^{-2} -12 z^2 a^{-4} +3 z^2 a^{-6} +10 z^2 a^{-8} -4 z^2 a^{-10} -4 z^2 a^{-12} -z a^{-1} -z a^{-3} +5 z a^{-5} +20 z a^{-7} +21 z a^{-9} +6 z a^{-11} + a^{-2} +2 a^{-4} -5 a^{-6} -7 a^{-8} -2 a^{-10} }[/math] |
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