K13a4344
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Polynomial invariants
| Jones polynomial | Data:K13a4344/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+7 t^4-22 t^3+43 t^2-63 t+73-63 t^{-1} +43 t^{-2} -22 t^{-3} +7 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a4344/Conway Polynomial |
| Determinant | 345 |
| 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+10 z^6 a^{-2} -z^6 a^{-4} -14 z^6+5 a^2 z^4+17 z^4 a^{-2} -4 z^4 a^{-4} -17 z^4+3 a^2 z^2+11 z^2 a^{-2} -4 z^2 a^{-4} -12 z^2+2 a^2+2 a^{-2} -3 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 z^{12} a^{-2} +4 z^{12}+13 a z^{11}+23 z^{11} a^{-1} +10 z^{11} a^{-3} +19 a^2 z^{10}+13 z^{10} a^{-2} +11 z^{10} a^{-4} +21 z^{10}+18 a^3 z^9-17 a z^9-64 z^9 a^{-1} -21 z^9 a^{-3} +8 z^9 a^{-5} +12 a^4 z^8-39 a^2 z^8-67 z^8 a^{-2} -29 z^8 a^{-4} +4 z^8 a^{-6} -85 z^8+5 a^5 z^7-35 a^3 z^7-2 a z^7+73 z^7 a^{-1} +12 z^7 a^{-3} -22 z^7 a^{-5} +z^7 a^{-7} +a^6 z^6-21 a^4 z^6+31 a^2 z^6+102 z^6 a^{-2} +25 z^6 a^{-4} -12 z^6 a^{-6} +118 z^6-7 a^5 z^5+20 a^3 z^5+12 a z^5-34 z^5 a^{-1} +z^5 a^{-3} +17 z^5 a^{-5} -3 z^5 a^{-7} -a^6 z^4+8 a^4 z^4-15 a^2 z^4-67 z^4 a^{-2} -11 z^4 a^{-4} +10 z^4 a^{-6} -70 z^4+a^5 z^3-5 a^3 z^3-a z^3+6 z^3 a^{-1} -7 z^3 a^{-3} -6 z^3 a^{-5} +2 z^3 a^{-7} -a^4 z^2+6 a^2 z^2+17 z^2 a^{-2} -3 z^2 a^{-6} +21 z^2-a z+z a^{-1} +3 z a^{-3} +z a^{-5} -2 a^2-2 a^{-2} -3 }[/math] |
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