K13a2449
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Polynomial invariants
| Jones polynomial | Data:K13a2449/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^5+5 t^4-11 t^3+19 t^2-25 t+27-25 t^{-1} +19 t^{-2} -11 t^{-3} +5 t^{-4} - t^{-5} }[/math] |
| Conway polynomial | Data:K13a2449/Conway Polynomial |
| Determinant | 149 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -a^4 z^{10}+2 a^6 z^8-8 a^4 z^8+a^2 z^8-a^8 z^6+14 a^6 z^6-25 a^4 z^6+6 a^2 z^6-6 a^8 z^4+35 a^6 z^4-38 a^4 z^4+12 a^2 z^4-11 a^8 z^2+36 a^6 z^2-27 a^4 z^2+9 a^2 z^2-6 a^8+12 a^6-7 a^4+2 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^5 a^{13}-3 z^3 a^{13}+2 z a^{13}+2 z^6 a^{12}-4 z^4 a^{12}+z^2 a^{12}+3 z^7 a^{11}-5 z^5 a^{11}+2 z^3 a^{11}-z a^{11}+4 z^8 a^{10}-8 z^6 a^{10}+8 z^4 a^{10}-3 z^2 a^{10}+5 z^9 a^9-14 z^7 a^9+20 z^5 a^9-9 z^3 a^9+2 z a^9+5 z^{10} a^8-17 z^8 a^8+31 z^6 a^8-30 z^4 a^8+22 z^2 a^8-6 a^8+3 z^{11} a^7-5 z^9 a^7-7 z^7 a^7+29 z^5 a^7-28 z^3 a^7+10 z a^7+z^{12} a^6+5 z^{10} a^6-34 z^8 a^6+74 z^6 a^6-86 z^4 a^6+50 z^2 a^6-12 a^6+6 z^{11} a^5-22 z^9 a^5+25 z^7 a^5-5 z^5 a^5-18 z^3 a^5+9 z a^5+z^{12} a^4+4 z^{10} a^4-32 z^8 a^4+63 z^6 a^4-67 z^4 a^4+34 z^2 a^4-7 a^4+3 z^{11} a^3-9 z^9 a^3+15 z^5 a^3-16 z^3 a^3+6 z a^3+4 z^{10} a^2-18 z^8 a^2+25 z^6 a^2-16 z^4 a^2+8 z^2 a^2-2 a^2+3 z^9 a-15 z^7 a+23 z^5 a-12 z^3 a+2 z a+z^8-5 z^6+7 z^4-2 z^2 }[/math] |
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