K13n299
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Polynomial invariants
| Jones polynomial | Data:K13n299/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+6 t^3-9 t^2+12 t-13+12 t^{-1} -9 t^{-2} +6 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n299/Conway Polynomial |
| Determinant | 75 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^{10} a^{-2} +9 z^8 a^{-2} -z^8 a^{-4} -z^8+32 z^6 a^{-2} -8 z^6 a^{-4} -7 z^6+57 z^4 a^{-2} -23 z^4 a^{-4} +z^4 a^{-6} -18 z^4+52 z^2 a^{-2} -28 z^2 a^{-4} +3 z^2 a^{-6} -20 z^2+20 a^{-2} -13 a^{-4} +2 a^{-6} -8 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{11} a^{-1} +z^{11} a^{-3} +6 z^{10} a^{-2} +3 z^{10} a^{-4} +3 z^{10}+3 a z^9+2 z^9 a^{-1} +z^9 a^{-3} +2 z^9 a^{-5} +2 a^2 z^8-33 z^8 a^{-2} -18 z^8 a^{-4} -13 z^8+a^3 z^7-12 a z^7-27 z^7 a^{-1} -26 z^7 a^{-3} -12 z^7 a^{-5} -8 a^2 z^6+74 z^6 a^{-2} +45 z^6 a^{-4} +z^6 a^{-6} +22 z^6-5 a^3 z^5+13 a z^5+61 z^5 a^{-1} +74 z^5 a^{-3} +31 z^5 a^{-5} +7 a^2 z^4-88 z^4 a^{-2} -52 z^4 a^{-4} -z^4 a^{-6} -30 z^4+7 a^3 z^3-8 a z^3-61 z^3 a^{-1} -77 z^3 a^{-3} -30 z^3 a^{-5} +z^3 a^{-7} -a^2 z^2+59 z^2 a^{-2} +37 z^2 a^{-4} +3 z^2 a^{-6} +24 z^2-3 a^3 z+3 a z+22 z a^{-1} +29 z a^{-3} +12 z a^{-5} -z a^{-7} -20 a^{-2} -13 a^{-4} -2 a^{-6} -8 }[/math] |
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