K13a1130
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Polynomial invariants
| Jones polynomial | Data:K13a1130/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-13 t^3+41 t^2-76 t+93-76 t^{-1} +41 t^{-2} -13 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1130/Conway Polynomial |
| Determinant | 357 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +z^8 a^{-6} -z^6 a^{-2} +4 z^6 a^{-4} +2 z^6 a^{-6} -2 z^6 a^{-8} -3 z^4 a^{-2} +9 z^4 a^{-4} -4 z^4 a^{-8} +z^4 a^{-10} -3 z^2 a^{-2} +11 z^2 a^{-4} -3 z^2 a^{-6} -3 z^2 a^{-8} +z^2 a^{-10} - a^{-2} +5 a^{-4} -2 a^{-6} -2 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-6} +2 z^{12} a^{-8} +6 z^{11} a^{-5} +15 z^{11} a^{-7} +9 z^{11} a^{-9} +8 z^{10} a^{-4} +20 z^{10} a^{-6} +30 z^{10} a^{-8} +18 z^{10} a^{-10} +7 z^9 a^{-3} +5 z^9 a^{-5} -6 z^9 a^{-7} +16 z^9 a^{-9} +20 z^9 a^{-11} +4 z^8 a^{-2} -8 z^8 a^{-4} -44 z^8 a^{-6} -68 z^8 a^{-8} -23 z^8 a^{-10} +13 z^8 a^{-12} +z^7 a^{-1} -15 z^7 a^{-3} -31 z^7 a^{-5} -40 z^7 a^{-7} -69 z^7 a^{-9} -39 z^7 a^{-11} +5 z^7 a^{-13} -12 z^6 a^{-2} -17 z^6 a^{-4} +19 z^6 a^{-6} +46 z^6 a^{-8} -z^6 a^{-10} -22 z^6 a^{-12} +z^6 a^{-14} -3 z^5 a^{-1} +6 z^5 a^{-3} +22 z^5 a^{-5} +46 z^5 a^{-7} +69 z^5 a^{-9} +30 z^5 a^{-11} -6 z^5 a^{-13} +13 z^4 a^{-2} +30 z^4 a^{-4} +10 z^4 a^{-6} -10 z^4 a^{-8} +10 z^4 a^{-10} +12 z^4 a^{-12} -z^4 a^{-14} +3 z^3 a^{-1} +5 z^3 a^{-3} +z^3 a^{-5} -17 z^3 a^{-7} -31 z^3 a^{-9} -14 z^3 a^{-11} +z^3 a^{-13} -6 z^2 a^{-2} -18 z^2 a^{-4} -10 z^2 a^{-6} +3 z^2 a^{-8} -3 z^2 a^{-10} -4 z^2 a^{-12} -z a^{-1} -3 z a^{-3} -5 z a^{-5} +2 z a^{-7} +9 z a^{-9} +4 z a^{-11} + a^{-2} +5 a^{-4} +2 a^{-6} -2 a^{-8} - a^{-10} }[/math] |
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