K13a1253
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Polynomial invariants
| Jones polynomial | Data:K13a1253/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ 2 t^4-13 t^3+35 t^2-59 t+71-59 t^{-1} +35 t^{-2} -13 t^{-3} +2 t^{-4} }[/math] |
| Conway polynomial | Data:K13a1253/Conway Polynomial |
| Determinant | 289 |
| Signature | 0 |
| HOMFLY-PT polynomial | [math]\displaystyle{ a^2 z^8+z^8-2 a^4 z^6+3 a^2 z^6-z^6 a^{-2} +3 z^6+a^6 z^4-7 a^4 z^4+3 a^2 z^4-2 z^4 a^{-2} +2 z^4+3 a^6 z^2-8 a^4 z^2+2 a^2 z^2-z^2+2 a^6-3 a^4+a^2+ a^{-2} }[/math] |
| Kauffman polynomial | [math]\displaystyle{ 2 a^4 z^{12}+2 a^2 z^{12}+5 a^5 z^{11}+13 a^3 z^{11}+8 a z^{11}+5 a^6 z^{10}+9 a^4 z^{10}+20 a^2 z^{10}+16 z^{10}+3 a^7 z^9-13 a^5 z^9-29 a^3 z^9+8 a z^9+21 z^9 a^{-1} +a^8 z^8-19 a^6 z^8-49 a^4 z^8-63 a^2 z^8+19 z^8 a^{-2} -15 z^8-13 a^7 z^7+6 a^5 z^7+10 a^3 z^7-52 a z^7-31 z^7 a^{-1} +12 z^7 a^{-3} -5 a^8 z^6+25 a^6 z^6+76 a^4 z^6+59 a^2 z^6-26 z^6 a^{-2} +5 z^6 a^{-4} -18 z^6+18 a^7 z^5+4 a^5 z^5+11 a^3 z^5+49 a z^5+11 z^5 a^{-1} -12 z^5 a^{-3} +z^5 a^{-5} +8 a^8 z^4-18 a^6 z^4-62 a^4 z^4-27 a^2 z^4+10 z^4 a^{-2} -3 z^4 a^{-4} +22 z^4-9 a^7 z^3-4 a^5 z^3-10 a^3 z^3-17 a z^3+2 z^3 a^{-3} -4 a^8 z^2+10 a^6 z^2+24 a^4 z^2+7 a^2 z^2-3 z^2+2 a^7 z+a^5 z+a^3 z+3 a z+z a^{-1} -2 a^6-3 a^4-a^2- a^{-2} }[/math] |
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