K13n4200
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Polynomial invariants
| Jones polynomial | Data:K13n4200/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+13 t^2-13 t+13-13 t^{-1} +13 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n4200/Conway Polynomial |
| Determinant | 85 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-2} +z^8 a^{-4} +5 z^6 a^{-2} +5 z^6 a^{-4} -z^6 a^{-6} -z^6+7 z^4 a^{-2} +7 z^4 a^{-4} -5 z^4 a^{-6} -4 z^4+3 z^2 a^{-2} +4 z^2 a^{-4} -6 z^2 a^{-6} +z^2 a^{-8} -3 z^2+ a^{-4} -2 a^{-6} + a^{-8} +1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +8 z^{10} a^{-2} +5 z^{10} a^{-4} +3 z^{10}+a z^9-8 z^9 a^{-1} -2 z^9 a^{-3} +7 z^9 a^{-5} -42 z^8 a^{-2} -16 z^8 a^{-4} +7 z^8 a^{-6} -19 z^8-6 a z^7+3 z^7 a^{-1} -19 z^7 a^{-3} -24 z^7 a^{-5} +4 z^7 a^{-7} +69 z^6 a^{-2} +3 z^6 a^{-4} -24 z^6 a^{-6} +z^6 a^{-8} +41 z^6+12 a z^5+14 z^5 a^{-1} +27 z^5 a^{-3} +16 z^5 a^{-5} -9 z^5 a^{-7} -42 z^4 a^{-2} +13 z^4 a^{-4} +23 z^4 a^{-6} +2 z^4 a^{-8} -34 z^4-8 a z^3-8 z^3 a^{-1} -z^3 a^{-3} +4 z^3 a^{-7} +3 z^3 a^{-9} +10 z^2 a^{-2} -6 z^2 a^{-4} -12 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} +8 z^2-2 z a^{-1} -4 z a^{-3} -2 z a^{-5} -z a^{-7} -z a^{-9} + a^{-4} +2 a^{-6} + a^{-8} +1 }[/math] |
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