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| Label | Polynomial | Discriminant | Galois group | Class group |
|---|---|---|---|---|
| 10.2.799905449.1 | x10 - x9 + x7 + x6 - x5 - x4 + x3 - x - 1 | \( 7^{2}\cdot 41\cdot 631^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.801214577.1 | x10 - 3x9 + 3x8 - x7 + x5 - 3x4 + 4x3 - x2 - x + 1 | \( 801214577 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.801589013.1 | x10 - 2x8 - x7 - x6 + x5 + 3x4 - 2x3 - 2x2 + x + 1 | \( 53\cdot 3889^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.802448461.1 | x10 - 2x7 - x6 + 2x5 + x4 - 2x2 - x + 1 | \( 53\cdot 71\cdot 213247 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.803282693.1 | x10 - 3x9 + 7x8 - 11x7 + 12x6 - 8x5 + 2x4 + 4x3 - 6x2 + 4x - 1 | \( 803282693 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.809040437.1 | x10 - 2x9 + 4x7 - 4x6 + 3x4 - x3 - x2 + 1 | \( 809040437 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.814270253.1 | x10 - x9 - 2x8 + 4x7 - x6 - 5x5 + 5x4 + x3 - 3x2 + x + 1 | \( 47\cdot 1753\cdot 9883 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.817298432.1 | x10 + x8 - 2x7 + x4 + 2x3 - x2 - 1 | \( 2^{10}\cdot 798143 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.820675277.1 | x10 - 2x9 + 2x8 - 5x7 + 7x6 - 4x5 + 4x4 - 8x3 + 5x2 - 1 | \( 317\cdot 1609^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.827119069.1 | x10 - x9 + 4x8 - 4x7 + 7x6 - 8x5 + 7x4 - 7x3 + 4x2 - 3x + 1 | \( 7^{2}\cdot 61\cdot 276721 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.828364813.1 | x10 - x9 + x8 + 2x7 - 4x6 + 3x4 - 2x3 - 2x2 + 2x + 1 | \( 157\cdot 2297^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.836077225.1 | x10 - 2x9 + 4x8 - 5x7 + 7x6 - 8x5 + 8x4 - 6x3 + 2x2 - x - 1 | \( 5^{2}\cdot 5783^{2} \) | $(C_2^4:A_5) : C_2$ (as 10T37) | Trivial |
| 10.2.838803593.1 | x10 - x9 - 2x8 + 3x7 + x6 - x5 - x4 - x3 + 2x2 + x - 1 | \( 79\cdot 10617767 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.848429441.1 | x10 - x7 - 3x6 + 3x5 + 3x4 - x3 - 1 | \( 41\cdot 4549^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.851109913.1 | x10 - 2x9 + x6 + 2x5 - 4x4 + 2x3 + 2x2 - 2x - 1 | \( 17^{2}\cdot 97^{2}\cdot 313 \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.856749056.1 | x10 - x8 - 2x7 + x6 + 2x5 - x4 - 2x3 + 2x + 1 | \( 2^{10}\cdot 103\cdot 8123 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.860443648.1 | x10 + x8 - 2x7 - x6 - 2x5 + 2x3 + x2 + 2x - 1 | \( 2^{10}\cdot 840277 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.875003125.1 | x10 - x9 - x8 + 3x7 - 3x6 - x5 + 5x4 - x3 - 3x2 + x + 1 | \( 5^{5}\cdot 280001 \) | $S_5^2 \wr C_2$ (as 10T43) | Trivial |
| 10.2.875753293.1 | x10 - 2x9 + 4x8 - 4x7 + 3x6 - 3x4 + 4x3 - 4x2 + 3x - 1 | \( 875753293 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.880280981.1 | x10 - x9 + x7 - x5 + 2x4 - x3 - x2 + 2x - 1 | \( 880280981 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.883321469.1 | x10 - x9 + 2x8 - 4x7 + 4x6 - 5x5 + 4x4 - 4x3 + 2x2 - x + 1 | \( 29\cdot 5519^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.887321849.1 | x10 - 3x9 + x8 + 7x7 - 11x6 + 15x4 - 17x3 + 7x2 - 1 | \( 281\cdot 1777^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.887778125.1 | x10 - x9 - x8 - x6 + 4x5 + 2x4 - 5x3 - x2 + 2x - 1 | \( 5^{5}\cdot 13^{2}\cdot 41^{2} \) | $S_5\times C_2$ (as 10T22) | Trivial |
| 10.2.889458133.1 | x10 - x9 - 3x8 + 4x7 + 2x6 - 7x5 + x4 + 5x3 - 2x - 1 | \( 37\cdot 4903^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.889458133.2 | x10 - x9 + 3x8 - 5x7 + 5x6 - 7x5 + 5x4 - 5x3 + 3x2 - x + 1 | \( 37\cdot 4903^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.913874993.1 | x10 - 2x9 + 3x8 - 2x7 + x6 + 3x5 - 11x4 + 14x3 - 12x2 + 5x - 1 | \( 353\cdot 1609^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.914778125.1 | x10 - x9 - x8 + 3x7 - x6 - 3x5 + 3x4 + 2x3 - x - 1 | \( 5^{5}\cdot 199\cdot 1471 \) | $S_5^2 \wr C_2$ (as 10T43) | Trivial |
| 10.2.917035997.1 | x10 - 2x7 + x5 + 2x4 + 3x3 - 3x2 - 2x + 1 | \( 59\cdot 61\cdot 254803 \) | $S_{10}$ (as 10T45) | Trivial |
| 10.2.919331189.1 | x10 - 3x9 + 7x8 - 12x7 + 18x6 - 19x5 + 17x4 - 10x3 + 3x2 - 1 | \( 7^{2}\cdot 101\cdot 431^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.925214597.1 | x10 - 2x9 + 3x8 - 4x7 + 4x6 + 2x5 - 6x4 + 3x3 - x2 + 2x - 1 | \( 293\cdot 1777^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.930121193.1 | x10 - x9 - x8 - 2x7 + 2x6 + 5x5 - 2x4 - 2x3 + x2 - x - 1 | \( 19^{2}\cdot 113\cdot 151^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.941778433.1 | x10 - x9 - x8 + 3x7 - x6 - 2x5 + 3x4 - x3 - x2 - 1 | \( 47^{4}\cdot 193 \) | $C_2\times (C_2^4 : D_5)$ (as 10T23) | Trivial |
| 10.2.946838273.1 | x10 - x9 - 2x8 + 5x7 - 3x6 + x5 - 3x4 + 5x3 - 2x2 - x + 1 | \( 17^{3}\cdot 439^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.959628125.1 | x10 - x8 - x7 + 2x6 + 2x5 - x3 - x2 + x - 1 | \( 5^{5}\cdot 29\cdot 10589 \) | $S_5^2 \wr C_2$ (as 10T43) | Trivial |
| 10.2.961297157.1 | x10 - x9 - 2x8 + 4x6 + x5 - 4x4 + 2x2 - x - 1 | \( 47^{4}\cdot 197 \) | $C_2\times (C_2^4 : D_5)$ (as 10T23) | Trivial |
| 10.2.969849581.1 | x10 - 3x9 + 4x8 - 4x7 + 2x6 - x5 + 2x4 - 4x3 + 4x2 - 3x + 1 | \( 29\cdot 5783^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.972017917.1 | x10 - x9 - 2x7 + 2x6 - x5 + 2x4 - 2x3 - x + 1 | \( 13\cdot 8647^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.976008137.1 | x10 + 3x8 - 5x7 - 11x5 - 5x3 + 3x2 + 1 | \( 13\cdot 29\cdot 1609^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.983378125.1 | x10 - x9 - x8 + 2x7 + 2x6 - 3x5 - 2x4 + 3x3 + 2x2 - x - 1 | \( 5^{5}\cdot 31\cdot 10151 \) | $S_5^2 \wr C_2$ (as 10T43) | Trivial |
| 10.2.985615769.1 | x10 - 2x9 + 3x8 - 5x7 + 6x6 - 7x5 + 6x4 - 5x3 + 3x2 - 2x + 1 | \( 41\cdot 4903^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.995628125.1 | x10 - 3x9 + 5x8 - 6x7 + 6x6 - 4x5 + 3x4 - 2x3 + x2 - x - 1 | \( 5^{5}\cdot 318601 \) | $S_5^2 \wr C_2$ (as 10T43) | Trivial |
| 10.2.1020454661.1 | x10 - 2x8 - 2x7 + 3x6 + 3x5 - 6x4 + x3 + 3x2 - 3x + 1 | \( 149\cdot 2617^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.1027128125.1 | x10 - x9 - 2x8 + 4x7 + x6 - 6x5 + 3x4 + 4x3 - 4x2 + 1 | \( 5^{5}\cdot 19\cdot 17299 \) | $S_5^2 \wr C_2$ (as 10T43) | Trivial |
| 10.2.1027785757.1 | x10 - 5x7 + x6 + x5 + 7x4 - 2x3 - 2x2 - 3x + 1 | \( 397\cdot 1609^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.1050472921.1 | x10 - x9 - x8 + 2x7 - x5 + 2x3 - x2 - x + 1 | \( 32411^{2} \) | $(C_2^4:A_5) : C_2$ (as 10T37) | Trivial |
| 10.2.1057769189.1 | x10 - 3x9 + 5x8 - 4x7 + 4x6 - 4x5 + 5x4 - 2x - 1 | \( 17^{2}\cdot 97^{2}\cdot 389 \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.1078503413.1 | x10 + x8 - x7 - 4x6 - 6x5 - 9x4 - 8x3 - 7x2 - 3x - 1 | \( 13^{2}\cdot 53\cdot 347^{2} \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.1079522797.1 | x10 - 4x8 - x7 + 4x6 - 2x5 - 2x4 + 5x3 - 3x + 1 | \( 17^{2}\cdot 97^{2}\cdot 397 \) | $C_2 \wr S_5$ (as 10T39) | Trivial |
| 10.2.1088440625.1 | x10 - x9 - x7 + x5 - x4 + 2x2 + x - 1 | \( 5^{5}\cdot 379\cdot 919 \) | $S_5^2 \wr C_2$ (as 10T43) | Trivial |
| 10.2.1112689449.1 | x10 - x8 - 3x7 + 2x6 + x5 + 2x4 - 3x3 - x2 + 1 | \( 3^{2}\cdot 11119^{2} \) | $(C_2^4:A_5) : C_2$ (as 10T37) | Trivial |
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