K13n3643
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Polynomial invariants
| Jones polynomial | Data:K13n3643/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-3 t^4+3 t^3+5 t^2-18 t+25-18 t^{-1} +5 t^{-2} +3 t^{-3} -3 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13n3643/Conway Polynomial |
| Determinant | 57 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ 2 z^4 a^{10}+5 z^2 a^{10}+4 a^{10}-z^8 a^8-9 z^6 a^8-25 z^4 a^8-31 z^2 a^8-15 a^8+z^{10} a^6+9 z^8 a^6+30 z^6 a^6+51 z^4 a^6+45 z^2 a^6+16 a^6-z^8 a^4-7 z^6 a^4-15 z^4 a^4-13 z^2 a^4-4 a^4 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^6 a^{14}-3 z^4 a^{14}+2 z^2 a^{14}+3 z^7 a^{13}-9 z^5 a^{13}+7 z^3 a^{13}-2 z a^{13}+4 z^8 a^{12}-10 z^6 a^{12}+4 z^4 a^{12}+3 z^9 a^{11}-5 z^7 a^{11}-2 z^5 a^{11}+z a^{11}+z^{10} a^{10}+2 z^8 a^{10}-9 z^6 a^{10}+3 z^4 a^{10}+4 z^2 a^{10}-4 a^{10}+5 z^9 a^9-23 z^7 a^9+50 z^5 a^9-52 z^3 a^9+21 z a^9+3 z^{10} a^8-21 z^8 a^8+56 z^6 a^8-64 z^4 a^8+43 z^2 a^8-15 a^8+z^{11} a^7-4 z^9 a^7-13 z^7 a^7+69 z^5 a^7-78 z^3 a^7+29 z a^7+4 z^{10} a^6-34 z^8 a^6+89 z^6 a^6-95 z^4 a^6+54 z^2 a^6-16 a^6+z^{11} a^5-5 z^9 a^5-5 z^7 a^5+41 z^5 a^5-46 z^3 a^5+15 z a^5+2 z^{10} a^4-15 z^8 a^4+35 z^6 a^4-35 z^4 a^4+17 z^2 a^4-4 a^4+z^9 a^3-7 z^7 a^3+15 z^5 a^3-13 z^3 a^3+4 z a^3 }[/math] |
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