K13a1135
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Polynomial invariants
| Jones polynomial | Data:K13a1135/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+10 t^3-40 t^2+83 t-103+83 t^{-1} -40 t^{-2} +10 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13a1135/Conway Polynomial |
| Determinant | 371 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ z^2 a^8+a^8-3 z^4 a^6-5 z^2 a^6-2 a^6+3 z^6 a^4+7 z^4 a^4+7 z^2 a^4+3 a^4-z^8 a^2-3 z^6 a^2-7 z^4 a^2-9 z^2 a^2-4 a^2+2 z^6+4 z^4+4 z^2+3-z^4 a^{-2} -z^2 a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 3 a^4 z^{12}+3 a^2 z^{12}+10 a^5 z^{11}+20 a^3 z^{11}+10 a z^{11}+15 a^6 z^{10}+27 a^4 z^{10}+26 a^2 z^{10}+14 z^{10}+14 a^7 z^9+3 a^5 z^9-24 a^3 z^9-2 a z^9+11 z^9 a^{-1} +9 a^8 z^8-22 a^6 z^8-73 a^4 z^8-74 a^2 z^8+5 z^8 a^{-2} -27 z^8+4 a^9 z^7-26 a^7 z^7-41 a^5 z^7-21 a^3 z^7-37 a z^7-26 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-16 a^8 z^6+9 a^6 z^6+62 a^4 z^6+55 a^2 z^6-12 z^6 a^{-2} +7 z^6-7 a^9 z^5+24 a^7 z^5+53 a^5 z^5+36 a^3 z^5+34 a z^5+18 z^5 a^{-1} -2 z^5 a^{-3} -2 a^{10} z^4+11 a^8 z^4+8 a^6 z^4-12 a^4 z^4-8 a^2 z^4+9 z^4 a^{-2} +8 z^4+3 a^9 z^3-14 a^7 z^3-22 a^5 z^3-9 a^3 z^3-9 a z^3-4 z^3 a^{-1} +z^3 a^{-3} +a^{10} z^2-5 a^8 z^2-8 a^6 z^2-6 a^4 z^2-10 a^2 z^2-2 z^2 a^{-2} -8 z^2+3 a^7 z+2 a^5 z-2 a^3 z-a z+a^8+2 a^6+3 a^4+4 a^2+3 }[/math] |
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