K13n1302
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Polynomial invariants
| Jones polynomial | Data:K13n1302/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^4-8 t^3+20 t^2-25 t+25-25 t^{-1} +20 t^{-2} -8 t^{-3} + t^{-4} }[/math] |
| Conway polynomial | Data:K13n1302/Conway Polynomial |
| Determinant | 133 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} -2 z^6 a^{-2} +4 z^6 a^{-4} -2 z^6 a^{-6} -7 z^4 a^{-2} +5 z^4 a^{-4} -8 z^4 a^{-6} +z^4 a^{-8} +z^4-6 z^2 a^{-2} +5 z^2 a^{-4} -8 z^2 a^{-6} +5 z^2 a^{-8} +3 z^2-2 a^{-2} +2 a^{-4} -3 a^{-6} +3 a^{-8} - a^{-10} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-3} +2 z^{11} a^{-5} +4 z^{10} a^{-2} +11 z^{10} a^{-4} +7 z^{10} a^{-6} +3 z^9 a^{-1} +3 z^9 a^{-3} +10 z^9 a^{-5} +10 z^9 a^{-7} -13 z^8 a^{-2} -36 z^8 a^{-4} -15 z^8 a^{-6} +7 z^8 a^{-8} +z^8-13 z^7 a^{-1} -35 z^7 a^{-3} -58 z^7 a^{-5} -34 z^7 a^{-7} +2 z^7 a^{-9} +5 z^6 a^{-2} +22 z^6 a^{-4} -10 z^6 a^{-6} -22 z^6 a^{-8} -5 z^6+18 z^5 a^{-1} +47 z^5 a^{-3} +70 z^5 a^{-5} +40 z^5 a^{-7} -z^5 a^{-9} +12 z^4 a^{-2} +7 z^4 a^{-4} +32 z^4 a^{-6} +32 z^4 a^{-8} +4 z^4 a^{-10} +9 z^4-9 z^3 a^{-1} -20 z^3 a^{-3} -30 z^3 a^{-5} -17 z^3 a^{-7} +3 z^3 a^{-9} +z^3 a^{-11} -10 z^2 a^{-2} -8 z^2 a^{-4} -18 z^2 a^{-6} -17 z^2 a^{-8} -4 z^2 a^{-10} -7 z^2+z a^{-1} +2 z a^{-3} +3 z a^{-5} +2 z a^{-7} -z a^{-9} -z a^{-11} +2 a^{-2} +2 a^{-4} +3 a^{-6} +3 a^{-8} + a^{-10} +2 }[/math] |
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