K13n3925
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Polynomial invariants
| Jones polynomial | Data:K13n3925/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^3+3 t^2-5 t+7-5 t^{-1} +3 t^{-2} - t^{-3} }[/math] |
| Conway polynomial | Data:K13n3925/Conway Polynomial |
| Determinant | 25 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8-z^8-a^4 z^6+6 a^2 z^6+z^6 a^{-2} -7 z^6-3 a^4 z^4+12 a^2 z^4+4 z^4 a^{-2} -16 z^4-2 a^4 z^2+9 a^2 z^2+5 z^2 a^{-2} -14 z^2+2 a^2+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ a^3 z^{11}+2 a z^{11}+z^{11} a^{-1} +4 a^4 z^{10}+6 a^2 z^{10}+3 z^{10} a^{-2} +5 z^{10}+6 a^5 z^9+2 a^3 z^9-9 a z^9-2 z^9 a^{-1} +3 z^9 a^{-3} +4 a^6 z^8-15 a^4 z^8-38 a^2 z^8-16 z^8 a^{-2} +z^8 a^{-4} -36 z^8+a^7 z^7-25 a^5 z^7-34 a^3 z^7-10 a z^7-18 z^7 a^{-1} -16 z^7 a^{-3} -15 a^6 z^6+4 a^4 z^6+61 a^2 z^6+20 z^6 a^{-2} -5 z^6 a^{-4} +67 z^6-3 a^7 z^5+23 a^5 z^5+57 a^3 z^5+48 a z^5+40 z^5 a^{-1} +23 z^5 a^{-3} +11 a^6 z^4+9 a^4 z^4-34 a^2 z^4-10 z^4 a^{-2} +7 z^4 a^{-4} -49 z^4+a^7 z^3-8 a^5 z^3-31 a^3 z^3-35 a z^3-25 z^3 a^{-1} -12 z^3 a^{-3} -2 a^6 z^2-4 a^4 z^2+9 a^2 z^2+5 z^2 a^{-2} -3 z^2 a^{-4} +19 z^2+a^5 z+5 a^3 z+7 a z+5 z a^{-1} +2 z a^{-3} -2 a^2-2 a^{-2} -3 }[/math] |
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