Timeline for Minimal polynomial in $\mathbb Z[x]$ of seventh degree with given roots
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| Oct 31, 2020 at 20:53 | comment | added | Michael Rozenberg | @Geoff Robinson I think much more interesting to solve the equation $x^7+x^6-18x^5-35x^4+38x^3+104x^2+7x-49=0$, without any hint. For this thing exactly I created it. | |
| Oct 31, 2020 at 20:20 | answer | added | Somos | timeline score: 2 | |
| Oct 31, 2020 at 8:20 | vote | accept | Michael Rozenberg | ||
| Oct 30, 2020 at 19:08 | answer | added | jjcale | timeline score: 2 | |
| Oct 30, 2020 at 19:07 | answer | added | darij grinberg | timeline score: 6 | |
| Oct 30, 2020 at 18:38 | history | edited | Michael Rozenberg | CC BY-SA 4.0 |
added 64 characters in body
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| Oct 30, 2020 at 18:34 | comment | added | Fedor Petrov | Evaluate them numerically and expand the product of $(x-x_i)$ in Wolframalpha, for example. | |
| Oct 30, 2020 at 18:11 | comment | added | Michael Rozenberg | @Jack L. I got these roots by using a primitive root modulo 43, which is $3$. I fixed a typo. Thank you! | |
| Oct 30, 2020 at 18:08 | history | edited | Michael Rozenberg | CC BY-SA 4.0 |
edited body
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| Oct 30, 2020 at 18:04 | comment | added | Jack L. | Is there a rule for obtaining the (rational) entries of the cosine terms; for the first three, I recognize that the next entries are thrice the previous (modulo $43$). Could you also kindly check if the remaining ones are correct (and I suppose the last three roots are supposed to be $x_5, x_6, x_7$.) | |
| Oct 30, 2020 at 17:59 | comment | added | Kevin Casto | Can you explain how you know this list is Galois-closed? | |
| Oct 30, 2020 at 17:31 | history | asked | Michael Rozenberg | CC BY-SA 4.0 |