K13a4044
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Polynomial invariants
| Jones polynomial | Data:K13a4044/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+7 t^4-23 t^3+50 t^2-80 t+95-80 t^{-1} +50 t^{-2} -23 t^{-3} +7 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a4044/Conway Polynomial |
| Determinant | 417 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^{10}+a^2 z^8+2 z^8 a^{-2} -6 z^8+4 a^2 z^6+9 z^6 a^{-2} -z^6 a^{-4} -14 z^6+5 a^2 z^4+14 z^4 a^{-2} -3 z^4 a^{-4} -14 z^4+a^2 z^2+7 z^2 a^{-2} -3 z^2 a^{-4} -5 z^2+1 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 5 z^{12} a^{-2} +5 z^{12}+16 a z^{11}+30 z^{11} a^{-1} +14 z^{11} a^{-3} +22 a^2 z^{10}+27 z^{10} a^{-2} +17 z^{10} a^{-4} +32 z^{10}+19 a^3 z^9-14 a z^9-60 z^9 a^{-1} -15 z^9 a^{-3} +12 z^9 a^{-5} +12 a^4 z^8-40 a^2 z^8-99 z^8 a^{-2} -37 z^8 a^{-4} +5 z^8 a^{-6} -109 z^8+5 a^5 z^7-32 a^3 z^7-19 a z^7+22 z^7 a^{-1} -25 z^7 a^{-3} -28 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-19 a^4 z^6+28 a^2 z^6+105 z^6 a^{-2} +21 z^6 a^{-4} -11 z^6 a^{-6} +121 z^6-7 a^5 z^5+16 a^3 z^5+33 a z^5+25 z^5 a^{-1} +37 z^5 a^{-3} +20 z^5 a^{-5} -2 z^5 a^{-7} -a^6 z^4+8 a^4 z^4-7 a^2 z^4-47 z^4 a^{-2} -6 z^4 a^{-4} +7 z^4 a^{-6} -50 z^4+2 a^5 z^3-2 a^3 z^3-13 a z^3-17 z^3 a^{-1} -17 z^3 a^{-3} -8 z^3 a^{-5} +z^3 a^{-7} -a^4 z^2-2 a^2 z^2+8 z^2 a^{-2} +z^2 a^{-4} -2 z^2 a^{-6} +4 z^2+a z+3 z a^{-1} +3 z a^{-3} +z a^{-5} +1 }[/math] |
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