K13n4139
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Polynomial invariants
| Jones polynomial | Data:K13n4139/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 4 t^3-18 t^2+35 t-41+35 t^{-1} -18 t^{-2} +4 t^{-3} }[/math] |
| Conway polynomial | Data:K13n4139/Conway Polynomial |
| Determinant | 155 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 3 z^6 a^{-2} +z^6 a^{-4} +11 z^4 a^{-2} +z^4 a^{-4} -z^4 a^{-6} -5 z^4+2 a^2 z^2+14 z^2 a^{-2} -2 z^2 a^{-4} -2 z^2 a^{-6} -13 z^2+3 a^2+7 a^{-2} -2 a^{-4} -7 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 z^{11} a^{-1} +2 z^{11} a^{-3} +10 z^{10} a^{-2} +7 z^{10} a^{-4} +3 z^{10}+a z^9-2 z^9 a^{-1} +8 z^9 a^{-3} +11 z^9 a^{-5} -33 z^8 a^{-2} -14 z^8 a^{-4} +10 z^8 a^{-6} -9 z^8+3 a z^7+5 z^7 a^{-1} -37 z^7 a^{-3} -33 z^7 a^{-5} +6 z^7 a^{-7} +3 a^2 z^6+59 z^6 a^{-2} +8 z^6 a^{-4} -27 z^6 a^{-6} +3 z^6 a^{-8} +24 z^6-14 a z^5-14 z^5 a^{-1} +58 z^5 a^{-3} +46 z^5 a^{-5} -11 z^5 a^{-7} +z^5 a^{-9} -9 a^2 z^4-67 z^4 a^{-2} +9 z^4 a^{-4} +32 z^4 a^{-6} -5 z^4 a^{-8} -48 z^4+11 a z^3-39 z^3 a^{-3} -21 z^3 a^{-5} +5 z^3 a^{-7} -2 z^3 a^{-9} +9 a^2 z^2+33 z^2 a^{-2} -2 z^2 a^{-4} -10 z^2 a^{-6} +34 z^2-a z+3 z a^{-1} +8 z a^{-3} +4 z a^{-5} -3 a^2-7 a^{-2} -2 a^{-4} -7 }[/math] |
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