K13n365
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Polynomial invariants
| Jones polynomial | Data:K13n365/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -2 t^4+9 t^3-20 t^2+32 t-37+32 t^{-1} -20 t^{-2} +9 t^{-3} -2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n365/Conway Polynomial |
| Determinant | 163 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -2 z^8 a^{-4} +2 z^6 a^{-2} -12 z^6 a^{-4} +3 z^6 a^{-6} +8 z^4 a^{-2} -26 z^4 a^{-4} +13 z^4 a^{-6} -z^4 a^{-8} +10 z^2 a^{-2} -23 z^2 a^{-4} +17 z^2 a^{-6} -3 z^2 a^{-8} +4 a^{-2} -7 a^{-4} +6 a^{-6} -2 a^{-8} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-5} +2 z^{11} a^{-7} +6 z^{10} a^{-4} +12 z^{10} a^{-6} +6 z^{10} a^{-8} +6 z^9 a^{-3} +9 z^9 a^{-5} +10 z^9 a^{-7} +7 z^9 a^{-9} +3 z^8 a^{-2} -15 z^8 a^{-4} -35 z^8 a^{-6} -13 z^8 a^{-8} +4 z^8 a^{-10} +z^7 a^{-1} -12 z^7 a^{-3} -41 z^7 a^{-5} -52 z^7 a^{-7} -23 z^7 a^{-9} +z^7 a^{-11} +3 z^6 a^{-2} +32 z^6 a^{-4} +40 z^6 a^{-6} -2 z^6 a^{-8} -13 z^6 a^{-10} +5 z^5 a^{-1} +22 z^5 a^{-3} +63 z^5 a^{-5} +71 z^5 a^{-7} +22 z^5 a^{-9} -3 z^5 a^{-11} -9 z^4 a^{-2} -43 z^4 a^{-4} -33 z^4 a^{-6} +9 z^4 a^{-8} +11 z^4 a^{-10} +3 z^4-7 z^3 a^{-1} -20 z^3 a^{-3} -44 z^3 a^{-5} -44 z^3 a^{-7} -11 z^3 a^{-9} +2 z^3 a^{-11} +9 z^2 a^{-2} +30 z^2 a^{-4} +21 z^2 a^{-6} -3 z^2 a^{-10} -3 z^2+2 z a^{-1} +7 z a^{-3} +11 z a^{-5} +10 z a^{-7} +4 z a^{-9} -4 a^{-2} -7 a^{-4} -6 a^{-6} -2 a^{-8} }[/math] |
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