K13a1110
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Polynomial invariants
| Jones polynomial | Data:K13a1110/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ t^5-6 t^4+16 t^3-30 t^2+45 t-51+45 t^{-1} -30 t^{-2} +16 t^{-3} -6 t^{-4} + t^{-5} }[/math] |
| Conway polynomial | Data:K13a1110/Conway Polynomial |
| Determinant | 247 |
| Signature | -2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^{10}-2 a^4 z^8+7 a^2 z^8-z^8+a^6 z^6-12 a^4 z^6+19 a^2 z^6-5 z^6+5 a^6 z^4-26 a^4 z^4+25 a^2 z^4-8 z^4+8 a^6 z^2-23 a^4 z^2+17 a^2 z^2-4 z^2+3 a^6-7 a^4+5 a^2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+6 a^5 z^{11}+12 a^3 z^{11}+6 a z^{11}+9 a^6 z^{10}+10 a^4 z^{10}+9 a^2 z^{10}+8 z^{10}+9 a^7 z^9-8 a^5 z^9-36 a^3 z^9-12 a z^9+7 z^9 a^{-1} +6 a^8 z^8-23 a^6 z^8-47 a^4 z^8-44 a^2 z^8+4 z^8 a^{-2} -22 z^8+3 a^9 z^7-25 a^7 z^7-6 a^5 z^7+50 a^3 z^7+6 a z^7-21 z^7 a^{-1} +z^7 a^{-3} +a^{10} z^6-14 a^8 z^6+29 a^6 z^6+87 a^4 z^6+74 a^2 z^6-13 z^6 a^{-2} +18 z^6-7 a^9 z^5+33 a^7 z^5+31 a^5 z^5-32 a^3 z^5-4 a z^5+16 z^5 a^{-1} -3 z^5 a^{-3} -3 a^{10} z^4+10 a^8 z^4-18 a^6 z^4-76 a^4 z^4-65 a^2 z^4+11 z^4 a^{-2} -9 z^4+3 a^9 z^3-24 a^7 z^3-25 a^5 z^3+8 a^3 z^3+a z^3-3 z^3 a^{-1} +2 z^3 a^{-3} +2 a^{10} z^2-4 a^8 z^2+8 a^6 z^2+37 a^4 z^2+27 a^2 z^2-2 z^2 a^{-2} +2 z^2+5 a^7 z+7 a^5 z+a^3 z-a z-3 a^6-7 a^4-5 a^2 }[/math] |
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