K13a1026
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Polynomial invariants
| Jones polynomial | Data:K13a1026/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 5 t^3-27 t^2+65 t-85+65 t^{-1} -27 t^{-2} +5 t^{-3} }[/math] |
| Conway polynomial | Data:K13a1026/Conway Polynomial |
| Determinant | 279 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^6 a^{-2} +2 z^6 a^{-4} +2 z^6 a^{-6} +z^4 a^{-2} +2 z^4 a^{-4} +4 z^4 a^{-6} -3 z^4 a^{-8} -z^4+2 z^2 a^{-2} +5 z^2 a^{-6} -5 z^2 a^{-8} +z^2 a^{-10} -z^2+ a^{-2} +2 a^{-6} -3 a^{-8} + a^{-10} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{12} a^{-6} +2 z^{12} a^{-8} +8 z^{11} a^{-5} +14 z^{11} a^{-7} +6 z^{11} a^{-9} +14 z^{10} a^{-4} +22 z^{10} a^{-6} +15 z^{10} a^{-8} +7 z^{10} a^{-10} +15 z^9 a^{-3} +z^9 a^{-5} -28 z^9 a^{-7} -10 z^9 a^{-9} +4 z^9 a^{-11} +12 z^8 a^{-2} -24 z^8 a^{-4} -83 z^8 a^{-6} -73 z^8 a^{-8} -25 z^8 a^{-10} +z^8 a^{-12} +8 z^7 a^{-1} -24 z^7 a^{-3} -42 z^7 a^{-5} -16 z^7 a^{-7} -22 z^7 a^{-9} -16 z^7 a^{-11} -14 z^6 a^{-2} +16 z^6 a^{-4} +99 z^6 a^{-6} +95 z^6 a^{-8} +26 z^6 a^{-10} -4 z^6 a^{-12} +4 z^6+a z^5-9 z^5 a^{-1} +15 z^5 a^{-3} +52 z^5 a^{-5} +55 z^5 a^{-7} +49 z^5 a^{-9} +21 z^5 a^{-11} +3 z^4 a^{-2} -9 z^4 a^{-4} -58 z^4 a^{-6} -56 z^4 a^{-8} -10 z^4 a^{-10} +5 z^4 a^{-12} -5 z^4-a z^3+3 z^3 a^{-1} -3 z^3 a^{-3} -22 z^3 a^{-5} -34 z^3 a^{-7} -31 z^3 a^{-9} -12 z^3 a^{-11} +3 z^2 a^{-2} +4 z^2 a^{-4} +16 z^2 a^{-6} +18 z^2 a^{-8} +3 z^2 a^{-10} -2 z^2 a^{-12} +2 z^2+z a^{-3} +2 z a^{-5} +6 z a^{-7} +8 z a^{-9} +3 z a^{-11} - a^{-2} -2 a^{-6} -3 a^{-8} - a^{-10} }[/math] |
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