K13a1540
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Polynomial invariants
| Jones polynomial | Data:K13a1540/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -6 t^2+24 t-35+24 t^{-1} -6 t^{-2} }[/math] |
| Conway polynomial | Data:K13a1540/Conway Polynomial |
| Determinant | 95 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^4+a^4-z^4 a^2-z^2 a^2-a^2-2 z^4-2 z^2-2 z^4 a^{-2} -z^2 a^{-2} -z^4 a^{-4} +z^2 a^{-4} + a^{-4} +2 z^2 a^{-6} + a^{-6} - a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-2} +z^{12}+2 a z^{11}+4 z^{11} a^{-1} +2 z^{11} a^{-3} +2 a^2 z^{10}-3 z^{10} a^{-2} +2 z^{10} a^{-4} -3 z^{10}+2 a^3 z^9-9 a z^9-22 z^9 a^{-1} -9 z^9 a^{-3} +2 z^9 a^{-5} +a^4 z^8-8 a^2 z^8+z^8 a^{-2} -6 z^8 a^{-4} +2 z^8 a^{-6} -11 a^3 z^7+11 a z^7+46 z^7 a^{-1} +18 z^7 a^{-3} -4 z^7 a^{-5} +2 z^7 a^{-7} -6 a^4 z^6+3 a^2 z^6+6 z^6 a^{-2} +8 z^6 a^{-4} -2 z^6 a^{-6} +2 z^6 a^{-8} +3 z^6+18 a^3 z^5-5 a z^5-46 z^5 a^{-1} -15 z^5 a^{-3} +5 z^5 a^{-5} -2 z^5 a^{-7} +z^5 a^{-9} +11 a^4 z^4+11 a^2 z^4-8 z^4 a^{-2} -z^4 a^{-6} -5 z^4 a^{-8} -4 z^4-11 a^3 z^3-2 a z^3+16 z^3 a^{-1} +6 z^3 a^{-3} -z^3 a^{-5} -3 z^3 a^{-7} -3 z^3 a^{-9} -7 a^4 z^2-8 a^2 z^2+2 z^2 a^{-2} -2 z^2 a^{-4} +2 z^2 a^{-6} +3 z^2 a^{-8} +2 z^2+3 a^3 z+3 a z-z a^{-1} -z a^{-3} +2 z a^{-7} +2 z a^{-9} +a^4+a^2+ a^{-4} - a^{-6} - a^{-8} }[/math] |
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