K13a1196
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Polynomial invariants
| Jones polynomial | Data:K13a1196/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+11 t^3-47 t^2+104 t-133+104 t^{-1} -47 t^{-2} +11 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13a1196/Conway Polynomial |
| Determinant | 459 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8-3 z^4 a^6-3 z^2 a^6-a^6+3 z^6 a^4+5 z^4 a^4+5 z^2 a^4+3 a^4-z^8 a^2-2 z^6 a^2-4 z^4 a^2-4 z^2 a^2-2 a^2+2 z^6+2 z^4-z^4 a^{-2} + a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 4 a^4 z^{12}+4 a^2 z^{12}+14 a^5 z^{11}+28 a^3 z^{11}+14 a z^{11}+21 a^6 z^{10}+43 a^4 z^{10}+42 a^2 z^{10}+20 z^{10}+19 a^7 z^9+12 a^5 z^9-17 a^3 z^9+5 a z^9+15 z^9 a^{-1} +12 a^8 z^8-22 a^6 z^8-100 a^4 z^8-107 a^2 z^8+6 z^8 a^{-2} -35 z^8+5 a^9 z^7-27 a^7 z^7-69 a^5 z^7-74 a^3 z^7-70 a z^7-32 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-18 a^8 z^6-8 a^6 z^6+55 a^4 z^6+63 a^2 z^6-11 z^6 a^{-2} +8 z^6-7 a^9 z^5+13 a^7 z^5+67 a^5 z^5+89 a^3 z^5+65 a z^5+22 z^5 a^{-1} -z^5 a^{-3} -a^{10} z^4+11 a^8 z^4+26 a^6 z^4+11 a^4 z^4-2 a^2 z^4+6 z^4 a^{-2} +7 z^4+3 a^9 z^3-22 a^5 z^3-38 a^3 z^3-23 a z^3-4 z^3 a^{-1} -3 a^8 z^2-12 a^6 z^2-17 a^4 z^2-10 a^2 z^2+z^2 a^{-2} -z^2+3 a^5 z+7 a^3 z+4 a z+a^6+3 a^4+2 a^2- a^{-2} }[/math] |
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