K13n1383
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Polynomial invariants
| Jones polynomial | Data:K13n1383/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-8 t^3+21 t^2-36 t+43-36 t^{-1} +21 t^{-2} -8 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13n1383/Conway Polynomial |
| Determinant | 177 |
| Signature | -4 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^{10}+2 a^{10}-z^6 a^8-6 z^4 a^8-14 z^2 a^8-10 a^8+z^8 a^6+6 z^6 a^6+17 z^4 a^6+23 z^2 a^6+11 a^6+z^8 a^4+4 z^6 a^4+5 z^4 a^4+z^2 a^4-a^4-z^6 a^2-3 z^4 a^2-3 z^2 a^2-a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^4 a^{12}-z^2 a^{12}+6 z^5 a^{11}-5 z^3 a^{11}+3 z^8 a^{10}-z^6 a^{10}+4 z^4 a^{10}-2 a^{10}+8 z^9 a^9-25 z^7 a^9+52 z^5 a^9-44 z^3 a^9+15 z a^9+7 z^{10} a^8-16 z^8 a^8+25 z^6 a^8-25 z^4 a^8+23 z^2 a^8-10 a^8+2 z^{11} a^7+14 z^9 a^7-59 z^7 a^7+94 z^5 a^7-77 z^3 a^7+26 z a^7+13 z^{10} a^6-31 z^8 a^6+24 z^6 a^6-21 z^4 a^6+21 z^2 a^6-11 a^6+2 z^{11} a^5+13 z^9 a^5-54 z^7 a^5+63 z^5 a^5-43 z^3 a^5+14 z a^5+6 z^{10} a^4-8 z^8 a^4-14 z^6 a^4+18 z^4 a^4-5 z^2 a^4-a^4+7 z^9 a^3-19 z^7 a^3+12 z^5 a^3-2 z^3 a^3+2 z a^3+4 z^8 a^2-12 z^6 a^2+11 z^4 a^2-4 z^2 a^2+a^2+z^7 a-3 z^5 a+3 z^3 a-z a }[/math] |
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