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Results (displaying all 4 matches)
| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 21.7.467975407174598390024135662204092416.1 | x21 + 16x19 - 6x18 + 60x17 + 24x16 - 262x15 + 630x14 - 2088x13 + 2404x12 - 2916x11 - 68x10 + 6420x9 - 11568x8 + 16832x7 - 14508x6 + 9552x5 - 4776x4 + 204x3 + 360x2 - 600x + 500 | \( -\,2^{20}\cdot 11^{7}\cdot 73^{12} \) | $S_3\times C_7:C_3$ (as 21T11) | Trivial (GRH) |
| 21.7.887641117397815509982736884947746816.1 | x21 - 4x20 - 12x19 + 58x18 + 74x17 - 382x16 - 686x15 + 4800x14 - 12932x13 + 28358x12 - 26452x11 - 81018x10 + 310564x9 - 409604x8 + 110816x7 + 349094x6 - 498694x5 + 323368x4 - 122288x3 + 28698x2 - 4026x + 266 | \( -\,2^{20}\cdot 7^{12}\cdot 11^{19} \) | $S_3\times C_7:C_3$ (as 21T11) | $[2]$ (GRH) |
| 21.21.2279745164404038997779147090610663456768.1 | x21 - 48x19 - 30x18 + 812x17 + 720x16 - 6550x15 - 6230x14 + 28968x13 + 26324x12 - 75324x11 - 61308x10 + 117252x9 + 83328x8 - 106488x7 - 67836x6 + 52528x5 + 32136x4 - 11796x3 - 7560x2 + 600x + 500 | \( 2^{20}\cdot 37^{7}\cdot 73^{12} \) | $S_3\times C_7:C_3$ (as 21T11) | Trivial (GRH) |
| 21.21.2243640041810033585224532070313948733243392.1 | x21 - 42x19 + 672x17 - 5348x15 - 106x14 + 23324x13 + 1274x12 - 57624x11 - 5096x10 + 80164x9 + 8456x8 - 60656x7 - 6468x6 + 22596x5 + 2352x4 - 3136x3 - 392x2 + 56x + 4 | \( 2^{20}\cdot 7^{30}\cdot 37^{7} \) | $S_3\times C_7:C_3$ (as 21T11) | Trivial (GRH) |