K13n1390
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Polynomial invariants
| Jones polynomial | Data:K13n1390/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -4 t^3+18 t^2-32 t+37-32 t^{-1} +18 t^{-2} -4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n1390/Conway Polynomial |
| Determinant | 145 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} +z^4 a^{-2} -11 z^4 a^{-6} +4 z^4 a^{-8} +2 z^2 a^{-2} +6 z^2 a^{-4} -13 z^2 a^{-6} +10 z^2 a^{-8} -z^2 a^{-10} +4 a^{-4} -6 a^{-6} +5 a^{-8} -2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +6 z^{10} a^{-8} +2 z^{10} a^{-10} +7 z^9 a^{-5} +10 z^9 a^{-7} +4 z^9 a^{-9} +z^9 a^{-11} +6 z^8 a^{-4} +z^8 a^{-6} -7 z^8 a^{-8} -2 z^8 a^{-10} +3 z^7 a^{-3} -17 z^7 a^{-5} -30 z^7 a^{-7} -8 z^7 a^{-9} +2 z^7 a^{-11} +z^6 a^{-2} -16 z^6 a^{-4} -25 z^6 a^{-6} -4 z^6 a^{-8} +8 z^6 a^{-10} +4 z^6 a^{-12} -7 z^5 a^{-3} +17 z^5 a^{-5} +36 z^5 a^{-7} +11 z^5 a^{-9} +z^5 a^{-13} -3 z^4 a^{-2} +17 z^4 a^{-4} +42 z^4 a^{-6} +20 z^4 a^{-8} -8 z^4 a^{-10} -6 z^4 a^{-12} +3 z^3 a^{-3} -10 z^3 a^{-5} -19 z^3 a^{-7} -8 z^3 a^{-9} -4 z^3 a^{-11} -2 z^3 a^{-13} +2 z^2 a^{-2} -13 z^2 a^{-4} -28 z^2 a^{-6} -17 z^2 a^{-8} -2 z^2 a^{-10} +2 z^2 a^{-12} +z a^{-5} +4 z a^{-7} +2 z a^{-9} +z a^{-13} +4 a^{-4} +6 a^{-6} +5 a^{-8} +2 a^{-10} }[/math] |
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