K13a260
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Polynomial invariants
| Jones polynomial | Data:K13a260/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-5 t^4+15 t^3-31 t^2+48 t-55+48 t^{-1} -31 t^{-2} +15 t^{-3} -5 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a260/Conway Polynomial |
| Determinant | 255 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +8 z^8 a^{-2} -2 z^8 a^{-4} -z^8+27 z^6 a^{-2} -12 z^6 a^{-4} +z^6 a^{-6} -6 z^6+47 z^4 a^{-2} -28 z^4 a^{-4} +4 z^4 a^{-6} -14 z^4+43 z^2 a^{-2} -30 z^2 a^{-4} +6 z^2 a^{-6} -15 z^2+17 a^{-2} -13 a^{-4} +3 a^{-6} -6 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{12} a^{-2} +z^{12} a^{-4} +4 z^{11} a^{-1} +9 z^{11} a^{-3} +5 z^{11} a^{-5} +16 z^{10} a^{-2} +20 z^{10} a^{-4} +10 z^{10} a^{-6} +6 z^{10}+5 a z^9-7 z^9 a^{-3} +9 z^9 a^{-5} +11 z^9 a^{-7} +3 a^2 z^8-65 z^8 a^{-2} -70 z^8 a^{-4} -16 z^8 a^{-6} +8 z^8 a^{-8} -16 z^8+a^3 z^7-14 a z^7-28 z^7 a^{-1} -46 z^7 a^{-3} -59 z^7 a^{-5} -22 z^7 a^{-7} +4 z^7 a^{-9} -10 a^2 z^6+111 z^6 a^{-2} +102 z^6 a^{-4} +4 z^6 a^{-6} -15 z^6 a^{-8} +z^6 a^{-10} +19 z^6-4 a^3 z^5+10 a z^5+55 z^5 a^{-1} +117 z^5 a^{-3} +99 z^5 a^{-5} +15 z^5 a^{-7} -8 z^5 a^{-9} +9 a^2 z^4-103 z^4 a^{-2} -73 z^4 a^{-4} +3 z^4 a^{-6} +6 z^4 a^{-8} -2 z^4 a^{-10} -26 z^4+5 a^3 z^3-4 a z^3-52 z^3 a^{-1} -99 z^3 a^{-3} -70 z^3 a^{-5} -10 z^3 a^{-7} +4 z^3 a^{-9} -2 a^2 z^2+56 z^2 a^{-2} +39 z^2 a^{-4} +2 z^2 a^{-6} -2 z^2 a^{-8} +z^2 a^{-10} +20 z^2-2 a^3 z+2 a z+18 z a^{-1} +31 z a^{-3} +21 z a^{-5} +3 z a^{-7} -z a^{-9} -17 a^{-2} -13 a^{-4} -3 a^{-6} -6 }[/math] |
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