K13n3316
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Polynomial invariants
| Jones polynomial | Data:K13n3316/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^3-11 t^2+25 t-31+25 t^{-1} -11 t^{-2} +2 t^{-3} }[/math] |
| Conway polynomial | Data:K13n3316/Conway Polynomial |
| Determinant | 107 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +z^6-a^2 z^4+z^4 a^{-2} -2 z^4 a^{-4} +3 z^4-2 a^2 z^2-2 z^2 a^{-2} -3 z^2 a^{-4} +z^2 a^{-6} +5 z^2-a^2-2 a^{-2} - a^{-4} + a^{-6} +4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +8 z^{10} a^{-2} +4 z^{10} a^{-4} +4 z^{10}+4 a z^9-3 z^9 a^{-1} -4 z^9 a^{-3} +3 z^9 a^{-5} +3 a^2 z^8-34 z^8 a^{-2} -17 z^8 a^{-4} +z^8 a^{-6} -13 z^8+a^3 z^7-13 a z^7-5 z^7 a^{-1} -z^7 a^{-3} -10 z^7 a^{-5} -12 a^2 z^6+55 z^6 a^{-2} +33 z^6 a^{-4} +10 z^6-4 a^3 z^5+7 a z^5+6 z^5 a^{-1} +8 z^5 a^{-3} +16 z^5 a^{-5} +3 z^5 a^{-7} +13 a^2 z^4-38 z^4 a^{-2} -26 z^4 a^{-4} -z^4 a^{-6} +z^4 a^{-8} -z^4+4 a^3 z^3+3 a z^3-z^3 a^{-1} +z^3 a^{-3} -4 z^3 a^{-5} -5 z^3 a^{-7} -5 a^2 z^2+5 z^2 a^{-2} +12 z^2 a^{-4} +3 z^2 a^{-6} -2 z^2 a^{-8} -7 z^2-a^3 z-2 a z-3 z a^{-1} -4 z a^{-3} -z a^{-5} +z a^{-7} +a^2+2 a^{-2} - a^{-4} - a^{-6} +4 }[/math] |
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