K13n2345
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Polynomial invariants
| Jones polynomial | Data:K13n2345/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -5 t^3+22 t^2-39 t+45-39 t^{-1} +22 t^{-2} -5 t^{-3} }[/math] |
| Conway polynomial | Data:K13n2345/Conway Polynomial |
| Determinant | 177 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^6 a^{-4} -3 z^6 a^{-6} -z^6 a^{-8} +z^4 a^{-2} -9 z^4 a^{-6} -z^4 a^{-8} +z^4 a^{-10} +2 z^2 a^{-2} +5 z^2 a^{-4} -7 z^2 a^{-6} +z^2 a^{-8} +3 z^2 a^{-10} +3 a^{-4} -2 a^{-6} - a^{-8} +2 a^{-10} - a^{-12} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-7} +2 z^{11} a^{-9} +6 z^{10} a^{-6} +11 z^{10} a^{-8} +5 z^{10} a^{-10} +8 z^9 a^{-5} +10 z^9 a^{-7} +6 z^9 a^{-9} +4 z^9 a^{-11} +6 z^8 a^{-4} -7 z^8 a^{-6} -24 z^8 a^{-8} -10 z^8 a^{-10} +z^8 a^{-12} +3 z^7 a^{-3} -20 z^7 a^{-5} -34 z^7 a^{-7} -15 z^7 a^{-9} -4 z^7 a^{-11} +z^6 a^{-2} -15 z^6 a^{-4} -7 z^6 a^{-6} +27 z^6 a^{-8} +24 z^6 a^{-10} +6 z^6 a^{-12} -7 z^5 a^{-3} +22 z^5 a^{-5} +40 z^5 a^{-7} +13 z^5 a^{-9} +5 z^5 a^{-11} +3 z^5 a^{-13} -3 z^4 a^{-2} +15 z^4 a^{-4} +22 z^4 a^{-6} -17 z^4 a^{-8} -34 z^4 a^{-10} -13 z^4 a^{-12} +3 z^3 a^{-3} -11 z^3 a^{-5} -16 z^3 a^{-7} -6 z^3 a^{-9} -9 z^3 a^{-11} -5 z^3 a^{-13} +2 z^2 a^{-2} -11 z^2 a^{-4} -15 z^2 a^{-6} +7 z^2 a^{-8} +15 z^2 a^{-10} +6 z^2 a^{-12} +2 z a^{-7} +2 z a^{-9} +2 z a^{-11} +2 z a^{-13} +3 a^{-4} +2 a^{-6} - a^{-8} -2 a^{-10} - a^{-12} }[/math] |
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