K13n4605
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Polynomial invariants
| Jones polynomial | Data:K13n4605/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-13 t^3+25 t^2-37 t+43-37 t^{-1} +25 t^{-2} -13 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13n4605/Conway Polynomial |
| Determinant | 205 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+z^8 a^{-2} -7 z^8+5 a^2 z^6+6 z^6 a^{-2} -19 z^6+9 a^2 z^4+14 z^4 a^{-2} -z^4 a^{-4} -25 z^4+6 a^2 z^2+14 z^2 a^{-2} -3 z^2 a^{-4} -16 z^2+a^2+5 a^{-2} -2 a^{-4} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a z^{11}+3 z^{11} a^{-1} +8 a^2 z^{10}+7 z^{10} a^{-2} +15 z^{10}+10 a^3 z^9+10 a z^9+5 z^9 a^{-1} +5 z^9 a^{-3} +8 a^4 z^8-8 a^2 z^8-19 z^8 a^{-2} +z^8 a^{-4} -36 z^8+4 a^5 z^7-16 a^3 z^7-28 a z^7-17 z^7 a^{-1} -9 z^7 a^{-3} +a^6 z^6-15 a^4 z^6+44 z^6 a^{-2} +6 z^6 a^{-4} +54 z^6-8 a^5 z^5+5 a^3 z^5+25 a z^5+27 z^5 a^{-1} +18 z^5 a^{-3} +3 z^5 a^{-5} -2 a^6 z^4+8 a^4 z^4-6 a^2 z^4-51 z^4 a^{-2} -13 z^4 a^{-4} -54 z^4+5 a^5 z^3+a^3 z^3-14 a z^3-24 z^3 a^{-1} -20 z^3 a^{-3} -6 z^3 a^{-5} +a^6 z^2-a^4 z^2+6 a^2 z^2+25 z^2 a^{-2} +8 z^2 a^{-4} +25 z^2-a^5 z-a^3 z+3 a z+7 z a^{-1} +7 z a^{-3} +3 z a^{-5} -a^2-5 a^{-2} -2 a^{-4} -3 }[/math] |
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