K13n2403
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Polynomial invariants
| Jones polynomial | Data:K13n2403/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+19 t^2-30 t+35-30 t^{-1} +19 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n2403/Conway Polynomial |
| Determinant | 153 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^8 a^{-6} -2 z^6 a^{-4} +13 z^6 a^{-6} -3 z^6 a^{-8} -8 z^4 a^{-4} +32 z^4 a^{-6} -14 z^4 a^{-8} +z^4 a^{-10} -9 z^2 a^{-4} +33 z^2 a^{-6} -21 z^2 a^{-8} +3 z^2 a^{-10} -2 a^{-4} +10 a^{-6} -9 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-7} +z^{11} a^{-9} +4 z^{10} a^{-6} +8 z^{10} a^{-8} +4 z^{10} a^{-10} +4 z^9 a^{-5} +10 z^9 a^{-7} +13 z^9 a^{-9} +7 z^9 a^{-11} +z^8 a^{-4} -12 z^8 a^{-6} -18 z^8 a^{-8} +2 z^8 a^{-10} +7 z^8 a^{-12} -13 z^7 a^{-5} -43 z^7 a^{-7} -48 z^7 a^{-9} -14 z^7 a^{-11} +4 z^7 a^{-13} +4 z^6 a^{-4} +31 z^6 a^{-6} +20 z^6 a^{-8} -26 z^6 a^{-10} -18 z^6 a^{-12} +z^6 a^{-14} +3 z^5 a^{-3} +30 z^5 a^{-5} +85 z^5 a^{-7} +74 z^5 a^{-9} +6 z^5 a^{-11} -10 z^5 a^{-13} -15 z^4 a^{-4} -46 z^4 a^{-6} -14 z^4 a^{-8} +32 z^4 a^{-10} +13 z^4 a^{-12} -2 z^4 a^{-14} -7 z^3 a^{-3} -35 z^3 a^{-5} -74 z^3 a^{-7} -53 z^3 a^{-9} -2 z^3 a^{-11} +5 z^3 a^{-13} +12 z^2 a^{-4} +35 z^2 a^{-6} +18 z^2 a^{-8} -9 z^2 a^{-10} -4 z^2 a^{-12} +3 z a^{-3} +11 z a^{-5} +21 z a^{-7} +15 z a^{-9} +2 z a^{-11} -2 a^{-4} -10 a^{-6} -9 a^{-8} -2 a^{-10} }[/math] |
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