K13a806
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Polynomial invariants
| Jones polynomial | Data:K13a806/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+6 t^4-17 t^3+33 t^2-49 t+57-49 t^{-1} +33 t^{-2} -17 t^{-3} +6 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a806/Conway Polynomial |
| Determinant | 269 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+2 a^2 z^8+z^8 a^{-2} -7 z^8-a^4 z^6+11 a^2 z^6+5 z^6 a^{-2} -19 z^6-4 a^4 z^4+21 a^2 z^4+8 z^4 a^{-2} -24 z^4-5 a^4 z^2+16 a^2 z^2+4 z^2 a^{-2} -14 z^2-2 a^4+5 a^2+ a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^2 z^{12}+2 z^{12}+6 a^3 z^{11}+13 a z^{11}+7 z^{11} a^{-1} +8 a^4 z^{10}+12 a^2 z^{10}+11 z^{10} a^{-2} +15 z^{10}+7 a^5 z^9-8 a^3 z^9-33 a z^9-7 z^9 a^{-1} +11 z^9 a^{-3} +4 a^6 z^8-18 a^4 z^8-51 a^2 z^8-26 z^8 a^{-2} +8 z^8 a^{-4} -63 z^8+a^7 z^7-18 a^5 z^7-3 a^3 z^7+31 a z^7-16 z^7 a^{-1} -27 z^7 a^{-3} +4 z^7 a^{-5} -12 a^6 z^6+10 a^4 z^6+82 a^2 z^6+23 z^6 a^{-2} -19 z^6 a^{-4} +z^6 a^{-6} +103 z^6-3 a^7 z^5+9 a^5 z^5+3 a^3 z^5+4 a z^5+45 z^5 a^{-1} +23 z^5 a^{-3} -9 z^5 a^{-5} +10 a^6 z^4-9 a^4 z^4-73 a^2 z^4-3 z^4 a^{-2} +12 z^4 a^{-4} -2 z^4 a^{-6} -71 z^4+3 a^7 z^3+2 a^5 z^3-6 a^3 z^3-23 a z^3-29 z^3 a^{-1} -8 z^3 a^{-3} +3 z^3 a^{-5} -2 a^6 z^2+9 a^4 z^2+29 a^2 z^2+z^2 a^{-2} -3 z^2 a^{-4} +22 z^2-a^7 z+4 a^3 z+7 a z+6 z a^{-1} +2 z a^{-3} -2 a^4-5 a^2- a^{-2} -3 }[/math] |
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