K13a1025
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Polynomial invariants
| Jones polynomial | Data:K13a1025/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 3 t^4-16 t^3+41 t^2-65 t+75-65 t^{-1} +41 t^{-2} -16 t^{-3} +3 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1025/Conway Polynomial |
| Determinant | 325 |
| Signature | 4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^8 a^{-4} +2 z^8 a^{-6} -z^6 a^{-2} +3 z^6 a^{-4} +9 z^6 a^{-6} -3 z^6 a^{-8} -3 z^4 a^{-2} +3 z^4 a^{-4} +15 z^4 a^{-6} -11 z^4 a^{-8} +z^4 a^{-10} -2 z^2 a^{-2} +3 z^2 a^{-4} +12 z^2 a^{-6} -13 z^2 a^{-8} +3 z^2 a^{-10} + a^{-4} +4 a^{-6} -6 a^{-8} +2 a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-6} +2 z^{12} a^{-8} +7 z^{11} a^{-5} +14 z^{11} a^{-7} +7 z^{11} a^{-9} +10 z^{10} a^{-4} +20 z^{10} a^{-6} +22 z^{10} a^{-8} +12 z^{10} a^{-10} +8 z^9 a^{-3} -2 z^9 a^{-5} -12 z^9 a^{-7} +11 z^9 a^{-9} +13 z^9 a^{-11} +4 z^8 a^{-2} -23 z^8 a^{-4} -61 z^8 a^{-6} -53 z^8 a^{-8} -10 z^8 a^{-10} +9 z^8 a^{-12} +z^7 a^{-1} -22 z^7 a^{-3} -28 z^7 a^{-5} -28 z^7 a^{-7} -49 z^7 a^{-9} -22 z^7 a^{-11} +4 z^7 a^{-13} -12 z^6 a^{-2} +15 z^6 a^{-4} +66 z^6 a^{-6} +45 z^6 a^{-8} -11 z^6 a^{-10} -16 z^6 a^{-12} +z^6 a^{-14} -3 z^5 a^{-1} +19 z^5 a^{-3} +38 z^5 a^{-5} +49 z^5 a^{-7} +56 z^5 a^{-9} +16 z^5 a^{-11} -7 z^5 a^{-13} +11 z^4 a^{-2} -2 z^4 a^{-4} -40 z^4 a^{-6} -25 z^4 a^{-8} +15 z^4 a^{-10} +11 z^4 a^{-12} -2 z^4 a^{-14} +2 z^3 a^{-1} -7 z^3 a^{-3} -19 z^3 a^{-5} -30 z^3 a^{-7} -33 z^3 a^{-9} -9 z^3 a^{-11} +4 z^3 a^{-13} -4 z^2 a^{-2} -3 z^2 a^{-4} +17 z^2 a^{-6} +18 z^2 a^{-8} -3 z^2 a^{-10} -4 z^2 a^{-12} +z^2 a^{-14} +z a^{-3} +2 z a^{-5} +8 z a^{-7} +10 z a^{-9} +2 z a^{-11} -z a^{-13} + a^{-4} -4 a^{-6} -6 a^{-8} -2 a^{-10} }[/math] |
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