| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Unit group torsion |
Unit group rank |
Regulator |
| 8.0.221445125.1 |
$x^{8} - 3 x^{7} + 7 x^{6} - 15 x^{5} + 18 x^{4} - 16 x^{3} + 13 x^{2} - 5 x + 3$ |
$8$ |
[0,4] |
$5^{3}\cdot 11^{6}$ |
$2$ |
$11.044810413$ |
$20.19630948441476$ |
|
|
|
$C_4\wr C_2$ (as 8T17) |
trivial |
$2$ |
$3$ |
$19.2475978728$ |
| 8.0.3055942725.1 |
$x^{8} - 4 x^{7} + 7 x^{6} - 7 x^{5} + 14 x^{4} - 21 x^{3} + 30 x^{2} - 20 x + 37$ |
$8$ |
[0,4] |
$3\cdot 5^{2}\cdot 11^{6}\cdot 23$ |
$4$ |
$15.3335654505$ |
$112.18997762455763$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$3$ |
$24.7616226809$ |
| 8.0.4296035425.1 |
$x^{8} - 2 x^{7} - 9 x^{6} + 18 x^{5} + 27 x^{4} - 50 x^{3} - 23 x^{2} - 4 x + 69$ |
$8$ |
[0,4] |
$5^{2}\cdot 11^{6}\cdot 97$ |
$3$ |
$16.0004973322$ |
$133.01952208809826$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$3$ |
$49.8899265646$ |
| 8.0.5536128125.1 |
$x^{8} - 2 x^{7} + 4 x^{6} - 18 x^{5} + 39 x^{4} - 3 x^{3} - 28 x^{2} - 5 x + 71$ |
$8$ |
[0,4] |
$5^{5}\cdot 11^{6}$ |
$2$ |
$16.5158437899$ |
$20.19630948441476$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
$[2]$ |
$2$ |
$3$ |
$16.9458343136$ |
| 8.0.6887829168.1 |
$x^{8} + 9 x^{6} - 11 x^{5} + 18 x^{4} - 33 x^{3} + 49 x^{2} - 33 x + 9$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{5}\cdot 11^{6}$ |
$3$ |
$16.9730658404$ |
$38.94309359419253$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$[2]$ |
$6$ |
$3$ |
$144.885863911$ |
| 8.0.8193469625.2 |
$x^{8} - x^{7} + 9 x^{6} + 31 x^{4} + 92 x^{2} - 28 x + 81$ |
$8$ |
[0,4] |
$5^{3}\cdot 11^{6}\cdot 37$ |
$3$ |
$17.345366511$ |
$122.84935458210464$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$3$ |
$47.558079153$ |
| 8.0.11337990400.5 |
$x^{8} - 11 x^{6} + 55 x^{4} - 121 x^{2} + 121$ |
$8$ |
[0,4] |
$2^{8}\cdot 5^{2}\cdot 11^{6}$ |
$3$ |
$18.0641283607$ |
$45.42887775768084$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$112.627782578$ |
| 8.0.17937055125.3 |
$x^{8} - 3 x^{7} - 4 x^{6} + 29 x^{5} - 26 x^{4} - 49 x^{3} + 112 x^{2} - 60 x + 201$ |
$8$ |
[0,4] |
$3^{4}\cdot 5^{3}\cdot 11^{6}$ |
$3$ |
$19.1301727952$ |
$34.98103415239156$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
$[2, 2]$ |
$2$ |
$3$ |
$25.2272336202$ |
| 8.0.23428894225.1 |
$x^{8} + 3 x^{6} + 13 x^{4} - 11 x^{3} + 12 x^{2} + 5$ |
$8$ |
[0,4] |
$5^{2}\cdot 11^{6}\cdot 23^{2}$ |
$3$ |
$19.7796669174$ |
$64.77291378191644$ |
|
|
? |
$V_4^2:(S_3\times C_2)$ (as 8T41) |
$[2]$ |
$2$ |
$3$ |
$93.4762094658$ |
| 8.0.24250898529.1 |
$x^{8} - x^{7} - 20 x^{6} + 19 x^{5} + 131 x^{4} - 137 x^{3} - 344 x^{2} + 437 x + 643$ |
$8$ |
[0,4] |
$3^{4}\cdot 11^{6}\cdot 13^{2}$ |
$3$ |
$19.8651102318$ |
$37.72044584920049$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
$[2]$ |
$6$ |
$3$ |
$310.396304829$ |
| 8.0.27503484525.1 |
$x^{8} - 2 x^{7} + 15 x^{6} - 18 x^{5} + 94 x^{4} - 25 x^{3} + 137 x^{2} + 6 x + 137$ |
$8$ |
[0,4] |
$3^{3}\cdot 5^{2}\cdot 11^{6}\cdot 23$ |
$4$ |
$20.1801070153$ |
$112.18997762455763$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$3$ |
$125.84014895$ |
| 8.0.27551316672.2 |
$x^{8} - 3 x^{7} + 22 x^{6} - 68 x^{5} + 197 x^{4} - 406 x^{3} + 726 x^{2} - 463 x + 97$ |
$8$ |
[0,4] |
$2^{6}\cdot 3^{5}\cdot 11^{6}$ |
$3$ |
$20.1844906608$ |
$55.07385112167188$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$[2]$ |
$6$ |
$3$ |
$164.365598667$ |
| 8.0.34013971200.2 |
$x^{8} - 121 x^{2} + 363$ |
$8$ |
[0,4] |
$2^{8}\cdot 3\cdot 5^{2}\cdot 11^{6}$ |
$4$ |
$20.7232166559$ |
$85.80673661171278$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$3$ |
$296.50892498$ |
| 8.0.34013971200.3 |
$x^{8} + 121 x^{2} + 363$ |
$8$ |
[0,4] |
$2^{8}\cdot 3\cdot 5^{2}\cdot 11^{6}$ |
$4$ |
$20.7232166559$ |
$85.80673661171278$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
trivial |
$2$ |
$3$ |
$148.353428481$ |
| 8.0.36281569280.2 |
$x^{8} - 2 x^{7} + 2 x^{6} - 26 x^{5} + 137 x^{4} - 358 x^{3} + 538 x^{2} - 444 x + 157$ |
$8$ |
[0,4] |
$2^{12}\cdot 5\cdot 11^{6}$ |
$3$ |
$20.8910735422$ |
$45.42887775768084$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
trivial |
$4$ |
$3$ |
$439.417719329$ |
| 8.0.36735088896.11 |
$x^{8} - 4 x^{7} + x^{6} + 27 x^{4} + 5 x^{2} + 58 x + 47$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{4}\cdot 11^{6}$ |
$3$ |
$20.9235387143$ |
$38.94309359419253$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2]$ |
$2$ |
$3$ |
$175.024841494$ |
| 8.0.42172009605.4 |
$x^{8} + 4 x^{6} - 11 x^{5} - 5 x^{4} + 11 x^{3} + 4 x^{2} + 1$ |
$8$ |
[0,4] |
$3^{2}\cdot 5\cdot 11^{6}\cdot 23^{2}$ |
$4$ |
$21.2876654857$ |
$112.18997762455763$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$3$ |
$60.7882842098$ |
| 8.0.47784314853.1 |
$x^{8} - x^{7} - 9 x^{6} + 41 x^{5} + 76 x^{4} - 489 x^{3} + 393 x^{2} + 96 x + 93$ |
$8$ |
[0,4] |
$3^{6}\cdot 11^{6}\cdot 37$ |
$3$ |
$21.6227372214$ |
$83.75028950053208$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$[2]$ |
$6$ |
$3$ |
$357.560708689$ |
| 8.0.48980118528.4 |
$x^{8} + 3 x^{6} + 13 x^{4} - 66 x^{3} + 56 x^{2} - 44 x + 60$ |
$8$ |
[0,4] |
$2^{10}\cdot 3^{3}\cdot 11^{6}$ |
$3$ |
$21.6896467533$ |
$103.51504325866267$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$3$ |
$384.161751163$ |
| 8.0.56689952000.1 |
$x^{8} - 11 x^{6} + 22 x^{4} + 605$ |
$8$ |
[0,4] |
$2^{8}\cdot 5^{3}\cdot 11^{6}$ |
$3$ |
$22.089620826$ |
$40.39261896882952$ |
|
|
? |
$C_4\wr C_2$ (as 8T17) |
$[2]$ |
$2$ |
$3$ |
$38.271635486$ |
| 8.0.58116058605.1 |
$x^{8} + 3 x^{6} - 11 x^{5} + 24 x^{4} - 21 x^{2} + 27$ |
$8$ |
[0,4] |
$3^{8}\cdot 5\cdot 11^{6}$ |
$3$ |
$22.158329652$ |
$95.2237060571066$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$3$ |
$402.790112791$ |
| 8.0.63281930481.1 |
$x^{8} - x^{7} + 24 x^{6} - 25 x^{5} + 241 x^{4} - 159 x^{3} + 1152 x^{2} - 201 x + 2271$ |
$8$ |
[0,4] |
$3^{6}\cdot 7^{2}\cdot 11^{6}$ |
$3$ |
$22.3954588492$ |
$36.427928452634866$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
$[2]$ |
$6$ |
$3$ |
$270.072168174$ |
| 8.0.74449851025.1 |
$x^{8} - x^{7} - 2 x^{6} - 22 x^{5} + 20 x^{4} - 11 x^{3} + 180 x^{2} - 94 x + 873$ |
$8$ |
[0,4] |
$5^{2}\cdot 11^{6}\cdot 41^{2}$ |
$3$ |
$22.8550922795$ |
$86.48114766960153$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$217.745387095$ |
| 8.0.76398568125.1 |
$x^{8} - 2 x^{7} + 10 x^{6} - 5 x^{5} + 60 x^{4} - 177 x^{3} - 26 x^{2} - 215 x + 885$ |
$8$ |
[0,4] |
$3\cdot 5^{4}\cdot 11^{6}\cdot 23$ |
$4$ |
$22.9290284082$ |
$112.18997762455763$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$3$ |
$179.227387908$ |
| 8.0.76644815104.3 |
$x^{8} - 2 x^{7} + 2 x^{6} - 4 x^{5} - 6 x^{4} - 50 x^{3} + 285 x^{2} - 378 x + 157$ |
$8$ |
[0,4] |
$2^{8}\cdot 11^{6}\cdot 13^{2}$ |
$3$ |
$22.9382534796$ |
$43.55581912997721$ |
|
|
|
$Q_8:C_2$ (as 8T11) |
trivial |
$4$ |
$3$ |
$537.58671028$ |
| 8.4.82653950016.1 |
$x^{8} - 3 x^{7} + 9 x^{6} - 3 x^{5} - 15 x^{4} + 36 x^{3} - 90 x^{2} - 162 x - 54$ |
$8$ |
[4,2] |
$2^{6}\cdot 3^{6}\cdot 11^{6}$ |
$3$ |
$23.1557019912$ |
$38.94309359419253$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$5$ |
$815.289504225$ |
| 8.0.102041913600.2 |
$x^{8} + 44 x^{4} - 363 x^{2} + 1089$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{2}\cdot 5^{2}\cdot 11^{6}$ |
$4$ |
$23.7737299022$ |
$78.6851244071389$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2]$ |
$2$ |
$3$ |
$117.56143959$ |
| 8.0.102041913600.3 |
$x^{8} - 11 x^{6} + 44 x^{4} + 1089$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{2}\cdot 5^{2}\cdot 11^{6}$ |
$4$ |
$23.7737299022$ |
$78.6851244071389$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2]$ |
$2$ |
$3$ |
$145.507231536$ |
| 8.0.110205266688.1 |
$x^{8} - 22 x^{6} + 121 x^{4} + 363$ |
$8$ |
[0,4] |
$2^{8}\cdot 3^{5}\cdot 11^{6}$ |
$3$ |
$24.0035399065$ |
$38.94309359419253$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$[2]$ |
$6$ |
$3$ |
$394.902558621$ |
| 8.0.112501209744.1 |
$x^{8} - 3 x^{7} - 22 x^{6} + 20 x^{5} + 175 x^{4} + 386 x^{3} + 682 x^{2} + 516 x + 372$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{4}\cdot 7^{2}\cdot 11^{6}$ |
$4$ |
$24.0654866888$ |
$55.35847998534994$ |
|
|
? |
$Q_8:C_2^2$ (as 8T22) |
$[2]$ |
$6$ |
$3$ |
$383.84675264$ |
| 8.0.116101021696.3 |
$x^{8} - 22 x^{6} + 242 x^{4} - 242 x^{2} + 121$ |
$8$ |
[0,4] |
$2^{16}\cdot 11^{6}$ |
$2$ |
$24.1604214181$ |
$34.16799564219565$ |
|
|
? |
$Q_8:C_2$ (as 8T11) |
trivial |
$4$ |
$3$ |
$564.535327964$ |
| 8.0.138403203125.1 |
$x^{8} - 2 x^{7} + 3 x^{6} + 11 x^{5} + 45 x^{4} + 66 x^{3} + 58 x^{2} + 13 x + 1$ |
$8$ |
[0,4] |
$5^{7}\cdot 11^{6}$ |
$2$ |
$24.696946882$ |
$24.69694688202418$ |
|
|
|
$C_4\wr C_2$ (as 8T17) |
$[8]$ |
$2$ |
$3$ |
$37.28482108$ |
| 8.0.138403203125.2 |
$x^{8} - 2 x^{7} + 8 x^{6} - 24 x^{5} + 50 x^{4} - 39 x^{3} + 83 x^{2} - 87 x + 26$ |
$8$ |
[0,4] |
$5^{7}\cdot 11^{6}$ |
$2$ |
$24.696946882$ |
$24.69694688202418$ |
|
|
|
$C_4\wr C_2$ (as 8T17) |
$[8]$ |
$2$ |
$3$ |
$308.393623506$ |
| 8.4.146940355584.2 |
$x^{8} - x^{7} - 10 x^{6} + 6 x^{5} + 43 x^{4} - 85 x^{3} + 36 x^{2} + 4 x - 2$ |
$8$ |
[4,2] |
$2^{10}\cdot 3^{4}\cdot 11^{6}$ |
$3$ |
$24.88242111$ |
$46.971756246165455$ |
|
|
|
$V_4^2:(S_3\times C_2)$ (as 8T41) |
trivial |
$2$ |
$5$ |
$2783.34462705$ |
| 8.0.154170096025.2 |
$x^{8} - x^{7} - 11 x^{6} + 37 x^{5} + 107 x^{4} - 230 x^{3} - 352 x^{2} + 1216 x + 1808$ |
$8$ |
[0,4] |
$5^{2}\cdot 11^{6}\cdot 59^{2}$ |
$3$ |
$25.0322575134$ |
$103.74221630899964$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$198.385240955$ |
| 8.0.164799462025.1 |
$x^{8} - x^{7} + 15 x^{5} + 41 x^{4} - 219 x^{3} + 242 x^{2} + 1029 x + 1269$ |
$8$ |
[0,4] |
$5^{2}\cdot 11^{6}\cdot 61^{2}$ |
$3$ |
$25.2417507343$ |
$105.4859050851931$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$746.7416582$ |
| 8.0.170069856000.2 |
$x^{8} - 11 x^{6} + 121 x^{4} - 605 x^{2} + 1815$ |
$8$ |
[0,4] |
$2^{8}\cdot 3\cdot 5^{3}\cdot 11^{6}$ |
$4$ |
$25.3412724423$ |
$128.310999012895$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$3$ |
$145.788814924$ |
| 8.0.170069856000.4 |
$x^{8} + 11 x^{6} + 121 x^{4} + 605 x^{2} + 1815$ |
$8$ |
[0,4] |
$2^{8}\cdot 3\cdot 5^{3}\cdot 11^{6}$ |
$4$ |
$25.3412724423$ |
$128.310999012895$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2]$ |
$2$ |
$3$ |
$297.539350434$ |
| 8.0.172195729200.1 |
$x^{8} - 3 x^{7} - 13 x^{5} + 21 x^{4} + 144 x^{3} + 286 x^{2} + 516 x + 372$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{5}\cdot 5^{2}\cdot 11^{6}$ |
$4$ |
$25.380653318$ |
$87.07940453075112$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$[2, 2]$ |
$6$ |
$3$ |
$653.155748157$ |
| 8.0.172195729200.2 |
$x^{8} - 3 x^{7} + 22 x^{6} - 35 x^{5} + 164 x^{4} - 175 x^{3} + 561 x^{2} - 298 x + 724$ |
$8$ |
[0,4] |
$2^{4}\cdot 3^{5}\cdot 5^{2}\cdot 11^{6}$ |
$4$ |
$25.380653318$ |
$87.07940453075112$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) |
$[2, 2]$ |
$6$ |
$3$ |
$320.849148495$ |
| 8.2.172337454080.1 |
$x^{8} - 2 x^{7} + 3 x^{6} - 10 x^{4} + 22 x^{3} - 30 x^{2} + 24 x - 10$ |
$8$ |
[2,3] |
$-\,2^{10}\cdot 5\cdot 11^{6}\cdot 19$ |
$4$ |
$25.3832635566$ |
$148.34729922513182$ |
|
|
? |
$S_4\wr C_2$ (as 8T47) |
trivial |
$2$ |
$4$ |
$1552.24406107$ |
| 8.0.181407846400.3 |
$x^{8} - 22 x^{6} + 220 x^{4} - 968 x^{2} + 1936$ |
$8$ |
[0,4] |
$2^{12}\cdot 5^{2}\cdot 11^{6}$ |
$3$ |
$25.5465353202$ |
$64.24613504830168$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[3]$ |
$2$ |
$3$ |
$100.547536238$ |
| 8.0.204836740625.1 |
$x^{8} - 2 x^{7} + 2 x^{6} - 15 x^{5} + 49 x^{4} - 138 x^{3} + 252 x^{2} + 568 x + 2544$ |
$8$ |
[0,4] |
$5^{5}\cdot 11^{6}\cdot 37$ |
$3$ |
$25.9373726721$ |
$122.84935458210464$ |
|
|
? |
$C_2 \wr C_2\wr C_2$ (as 8T35) |
$[2, 2]$ |
$2$ |
$3$ |
$120.943958332$ |
| 8.0.223260975025.3 |
$x^{8} - x^{7} - 24 x^{6} + 22 x^{5} + 262 x^{4} - 99 x^{3} - 1250 x^{2} + 126 x + 2259$ |
$8$ |
[0,4] |
$5^{2}\cdot 11^{6}\cdot 71^{2}$ |
$3$ |
$26.2181233348$ |
$113.80430486733724$ |
|
|
|
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
trivial |
$2$ |
$3$ |
$1184.53918678$ |
| 8.2.263459465676.3 |
$x^{8} - x^{7} - 2 x^{6} - 11 x^{5} - 13 x^{4} - 11 x^{3} + 4 x^{2} + 5 x + 4$ |
$8$ |
[2,3] |
$-\,2^{2}\cdot 3^{7}\cdot 11^{6}\cdot 17$ |
$4$ |
$26.7663545168$ |
$146.8420606450782$ |
|
|
|
$S_4\wr C_2$ (as 8T47) |
$[2]$ |
$2$ |
$4$ |
$2066.42080907$ |
| 8.0.283449760000.6 |
$x^{8} - 11 x^{6} + 154 x^{4} - 1210 x^{2} + 3025$ |
$8$ |
[0,4] |
$2^{8}\cdot 5^{4}\cdot 11^{6}$ |
$3$ |
$27.012172328$ |
$45.42887775768084$ |
|
|
? |
$(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T29) |
$[2]$ |
$2$ |
$3$ |
$170.469195927$ |
| 8.2.293880711168.1 |
$x^{8} - 11 x^{6} + 77 x^{4} - 121 x^{2} - 242$ |
$8$ |
[2,3] |
$-\,2^{11}\cdot 3^{4}\cdot 11^{6}$ |
$3$ |
$27.1344726279$ |
$41.84707742850928$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[2]$ |
$2$ |
$4$ |
$1658.72845397$ |
| 8.2.293880711168.2 |
$x^{8} - x^{7} + 12 x^{6} - 5 x^{5} + 65 x^{4} - 8 x^{3} + 102 x^{2} - 106 x - 2$ |
$8$ |
[2,3] |
$-\,2^{11}\cdot 3^{4}\cdot 11^{6}$ |
$3$ |
$27.1344726279$ |
$41.84707742850928$ |
|
|
? |
$Z_8 : Z_8^\times$ (as 8T15) |
$[2]$ |
$2$ |
$4$ |
$537.835718183$ |
| 8.2.293880711168.3 |
$x^{8} - 4 x^{7} + 5 x^{6} + 32 x^{5} - 69 x^{4} + 102 x^{3} + 12 x^{2} + 20 x + 4$ |
$8$ |
[2,3] |
$-\,2^{11}\cdot 3^{4}\cdot 11^{6}$ |
$3$ |
$27.1344726279$ |
$41.84707742850928$ |
|
|
? |
$Z_8 : Z_8^\times$ (as 8T15) |
$[2]$ |
$2$ |
$4$ |
$537.835718183$ |
| 8.2.293880711168.4 |
$x^{8} - x^{7} + x^{6} - 5 x^{5} + 21 x^{4} - 85 x^{3} + 157 x^{2} - 161 x + 64$ |
$8$ |
[2,3] |
$-\,2^{11}\cdot 3^{4}\cdot 11^{6}$ |
$3$ |
$27.1344726279$ |
$41.84707742850928$ |
|
|
|
$Z_8 : Z_8^\times$ (as 8T15) |
$[2]$ |
$2$ |
$4$ |
$1658.72845397$ |
