| 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 |
| 12.0.2882400500000000.1 |
$x^{12} - 4 x^{11} + 5 x^{10} - 5 x^{9} + x^{8} + 25 x^{7} + 19 x^{6} - 140 x^{5} + 91 x^{4} - 60 x^{3} + 140 x^{2} - 19 x + 1$ |
$12$ |
[0,6] |
$2^{8}\cdot 5^{9}\cdot 7^{8}$ |
$3$ |
$19.422845715030405$ |
$24.471252165227245$ |
|
|
? |
$S_3 \times C_4$ (as 12T11) |
$[3]$ |
$10$ |
$5$ |
$1445.2158702036545$ |
| 12.4.46118408000000000.2 |
$x^{12} - 2 x^{11} - 10 x^{10} + 40 x^{9} - 9 x^{8} - 150 x^{7} + 231 x^{6} + 50 x^{5} - 409 x^{4} + 1190 x^{2} - 988 x - 239$ |
$12$ |
[4,4] |
$2^{12}\cdot 5^{9}\cdot 7^{8}$ |
$3$ |
$24.471252165227245$ |
$24.471252165227245$ |
|
|
? |
$S_3 \times C_4$ (as 12T11) |
$[3]$ |
$2$ |
$7$ |
$2782.2583445483015$ |
| 12.0.103...637.1 |
$x^{12} - x^{11} + x^{10} - 27 x^{9} + 27 x^{8} + 90 x^{7} + 53 x^{6} - 1353 x^{5} + 768 x^{4} + 3886 x^{3} + 1600 x^{2} - 5409 x + 1847$ |
$12$ |
[0,6] |
$7^{8}\cdot 13^{11}$ |
$2$ |
$38.4161141302$ |
$38.416114130176354$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$5$ |
$6176.96689838$ |
| 12.8.484...125.1 |
$x^{12} - 3 x^{11} - 39 x^{10} + 125 x^{9} + 240 x^{8} - 753 x^{7} + 114 x^{6} + 462 x^{5} - 750 x^{4} + 2115 x^{3} - 3129 x^{2} + 1617 x + 251$ |
$12$ |
[8,2] |
$3^{16}\cdot 5^{9}\cdot 7^{8}$ |
$3$ |
$52.940479380274844$ |
$52.940479380274844$ |
|
|
? |
$C_4\times A_4$ (as 12T29) |
$[3]$ |
$2$ |
$9$ |
$697232.9820818221$ |
| 12.0.484...125.2 |
$x^{12} + 21 x^{10} - 35 x^{9} + 441 x^{8} + 2205 x^{7} + 10486 x^{6} + 30870 x^{5} + 143031 x^{4} + 281260 x^{3} + 540225 x^{2} + 900375 x + 1500625$ |
$12$ |
[0,6] |
$3^{16}\cdot 5^{9}\cdot 7^{8}$ |
$3$ |
$52.9404793803$ |
$52.940479380274844$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 222]$ |
$10$ |
$5$ |
$8321.40669675$ |
| 12.2.409...987.1 |
$x^{12} - 3 x^{11} - 28 x^{10} + 98 x^{9} + 257 x^{8} - 1374 x^{7} + 1057 x^{6} + 642 x^{5} + 641 x^{4} + 1178 x^{3} - 13792 x^{2} + 19149 x - 10179$ |
$12$ |
[2,5] |
$-\,7^{8}\cdot 13^{6}\cdot 43^{5}$ |
$3$ |
$63.23859697073306$ |
$86.51762663289117$ |
|
|
|
$D_{12}$ (as 12T12) |
$[3]$ |
$2$ |
$6$ |
$1419428.180875898$ |
| 12.12.436...125.2 |
$x^{12} - 84 x^{10} - 35 x^{9} + 2646 x^{8} + 2205 x^{7} - 37534 x^{6} - 46305 x^{5} + 215061 x^{4} + 341285 x^{3} - 216090 x^{2} - 360150 x - 12005$ |
$12$ |
[12,0] |
$3^{18}\cdot 5^{9}\cdot 7^{8}$ |
$3$ |
$63.5781781125$ |
$63.57817811250523$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$3090637.63238$ |
| 12.12.753...373.1 |
$x^{12} - x^{11} - 64 x^{10} + 116 x^{9} + 1171 x^{8} - 2718 x^{7} - 5875 x^{6} + 17133 x^{5} - 155 x^{4} - 22439 x^{3} + 17993 x^{2} - 5006 x + 391$ |
$12$ |
[12,0] |
$3^{6}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$66.5386615028$ |
$66.53866150283011$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$7085562.97255$ |
| 12.0.918...125.2 |
$x^{12} - x^{11} + 31 x^{10} + 3 x^{9} + 863 x^{8} - 4058 x^{7} + 30140 x^{6} - 96648 x^{5} + 741136 x^{4} - 1711616 x^{3} + 3948544 x^{2} - 7864320 x + 16777216$ |
$12$ |
[0,6] |
$5^{9}\cdot 7^{8}\cdot 13^{8}$ |
$3$ |
$67.6480213151$ |
$67.64802131514648$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[219]$ |
$10$ |
$5$ |
$10414.7313672$ |
| 12.12.423...152.1 |
$x^{12} - 65 x^{10} + 1183 x^{8} - 7670 x^{6} + 14651 x^{4} - 3809 x^{2} + 13$ |
$12$ |
[12,0] |
$2^{12}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$76.8322282604$ |
$76.83222826035271$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$16103224.1056$ |
| 12.0.161...125.1 |
$x^{12} - x^{11} + 66 x^{10} - 170 x^{9} + 1249 x^{8} - 3446 x^{7} + 12689 x^{6} - 57227 x^{5} + 67939 x^{4} - 83461 x^{3} + 539865 x^{2} - 552644 x + 152881$ |
$12$ |
[0,6] |
$5^{6}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$85.9010426265$ |
$85.90104262646453$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[13, 78]$ |
$2$ |
$5$ |
$6176.96689838$ |
| 12.0.155...125.1 |
$x^{12} - x^{11} + 36 x^{10} - 2 x^{9} - 792 x^{8} + 5587 x^{7} - 12950 x^{6} - 71228 x^{5} + 435646 x^{4} - 354291 x^{3} + 1420314 x^{2} - 6972800 x + 17024671$ |
$12$ |
[0,6] |
$5^{9}\cdot 7^{8}\cdot 13^{10}$ |
$3$ |
$103.731897806$ |
$103.73189780646314$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[11, 66]$ |
$2$ |
$5$ |
$10414.7313672$ |
| 12.12.198...000.2 |
$x^{12} - 99 x^{10} - 140 x^{9} + 3366 x^{8} + 8820 x^{7} - 40049 x^{6} - 160020 x^{5} + 39531 x^{4} + 826140 x^{3} + 1229700 x^{2} + 647850 x + 91405$ |
$12$ |
[12,0] |
$2^{12}\cdot 3^{16}\cdot 5^{9}\cdot 7^{8}$ |
$4$ |
$105.880958761$ |
$105.88095876054969$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$58663402.6391$ |
| 12.0.263...333.2 |
$x^{12} - 3 x^{11} - 75 x^{10} + 69 x^{9} + 2523 x^{8} + 3810 x^{7} - 34282 x^{6} - 141672 x^{5} - 36810 x^{4} + 1042824 x^{3} + 3255408 x^{2} + 4680315 x + 2992401$ |
$12$ |
[0,6] |
$3^{16}\cdot 7^{8}\cdot 13^{9}$ |
$3$ |
$108.397154178$ |
$108.39715417800616$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[3, 3, 111]$ |
$2$ |
$5$ |
$29615.9985126$ |
| 12.12.270...728.2 |
$x^{12} - 130 x^{10} + 4732 x^{8} - 61360 x^{6} + 234416 x^{4} - 121888 x^{2} + 832$ |
$12$ |
[12,0] |
$2^{18}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$108.657179233$ |
$108.65717923313618$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$176533525.605$ |
| 12.0.270...728.2 |
$x^{12} + 130 x^{10} + 4732 x^{8} + 61360 x^{6} + 234416 x^{4} + 121888 x^{2} + 832$ |
$12$ |
[0,6] |
$2^{18}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$108.657179233$ |
$108.65717923313618$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 2, 582]$ |
$2$ |
$5$ |
$6176.96689838$ |
| 12.12.669...125.2 |
$x^{12} - x^{11} - 134 x^{10} + 322 x^{9} + 6180 x^{8} - 23771 x^{7} - 97843 x^{6} + 606228 x^{5} - 178741 x^{4} - 4305423 x^{3} + 10012527 x^{2} - 8331265 x + 2285431$ |
$12$ |
[12,0] |
$3^{6}\cdot 5^{9}\cdot 7^{8}\cdot 13^{8}$ |
$4$ |
$117.169809949$ |
$117.16980994933608$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$86108371.9586$ |
| 12.0.960...125.2 |
$x^{12} - x^{11} + 73 x^{10} + 80 x^{9} + 4951 x^{8} - 38610 x^{7} + 413082 x^{6} - 2079027 x^{5} + 23133681 x^{4} - 79880175 x^{3} + 273830625 x^{2} - 820125000 x + 2562890625$ |
$12$ |
[0,6] |
$5^{9}\cdot 7^{8}\cdot 31^{8}$ |
$3$ |
$120.744491207$ |
$120.7444912071623$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[3, 6, 78]$ |
$10$ |
$5$ |
$89927.4162025$ |
| 12.0.178...000.2 |
$x^{12} - 39 x^{10} - 140 x^{9} + 1566 x^{8} + 8820 x^{7} - 7149 x^{6} - 223020 x^{5} - 433089 x^{4} + 2580340 x^{3} + 17859960 x^{2} + 43067850 x + 47075545$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{18}\cdot 5^{9}\cdot 7^{8}$ |
$4$ |
$127.156356225$ |
$127.15635622501046$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 2, 2, 2238]$ |
$2$ |
$5$ |
$8321.40669675$ |
| 12.12.183...357.2 |
$x^{12} - x^{11} - 168 x^{10} + 90 x^{9} + 7970 x^{8} - 5617 x^{7} - 136213 x^{6} + 140230 x^{5} + 693109 x^{4} - 556193 x^{3} - 838811 x^{2} - 32787 x + 39703$ |
$12$ |
[12,0] |
$7^{8}\cdot 11^{6}\cdot 13^{11}$ |
$3$ |
$127.411836473$ |
$127.41183647326525$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$237513902.944$ |
| 12.12.236...997.2 |
$x^{12} - 3 x^{11} - 114 x^{10} + 108 x^{9} + 4551 x^{8} + 690 x^{7} - 79886 x^{6} - 52908 x^{5} + 645027 x^{4} + 516051 x^{3} - 2189616 x^{2} - 1270617 x + 2431477$ |
$12$ |
[12,0] |
$3^{18}\cdot 7^{8}\cdot 13^{9}$ |
$3$ |
$130.178148288$ |
$130.17814828827844$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$388078371.914$ |
| 12.12.294...937.2 |
$x^{12} - 3 x^{11} - 99 x^{10} + 108 x^{9} + 3615 x^{8} + 1617 x^{7} - 55041 x^{6} - 87213 x^{5} + 268551 x^{4} + 688433 x^{3} + 130815 x^{2} - 469788 x - 108289$ |
$12$ |
[12,0] |
$3^{16}\cdot 7^{8}\cdot 17^{9}$ |
$3$ |
$132.55528791$ |
$132.55528790956586$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$144132247.105$ |
| 12.0.308...808.2 |
$x^{12} - 2 x^{11} + 56 x^{10} - 8 x^{9} + 3487 x^{8} + 1710 x^{7} + 65324 x^{6} + 189516 x^{5} - 248603 x^{4} - 3326926 x^{3} + 10945646 x^{2} + 67126364 x + 126110284$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{6}\cdot 7^{8}\cdot 13^{11}$ |
$4$ |
$133.077323006$ |
$133.07732300566022$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 2, 2, 2, 1374]$ |
$2$ |
$5$ |
$6176.96689838$ |
| 12.12.376...000.2 |
$x^{12} - 4 x^{11} - 129 x^{10} + 662 x^{9} + 5198 x^{8} - 35552 x^{7} - 49625 x^{6} + 712018 x^{5} - 851914 x^{4} - 4035264 x^{3} + 12265399 x^{2} - 11344010 x + 3145661$ |
$12$ |
[12,0] |
$2^{12}\cdot 5^{9}\cdot 7^{8}\cdot 13^{8}$ |
$4$ |
$135.29604263$ |
$135.29604263029296$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$364036579.699$ |
| 12.0.395...125.1 |
$x^{12} - x^{11} + 87 x^{10} - 221 x^{9} + 7751 x^{8} + 27358 x^{7} + 649836 x^{6} + 1330904 x^{5} + 53241808 x^{4} + 30023808 x^{3} + 16929792 x^{2} + 9510912 x + 5308416$ |
$12$ |
[0,6] |
$5^{9}\cdot 7^{8}\cdot 37^{8}$ |
$3$ |
$135.860751538$ |
$135.86075153822173$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[1443]$ |
$10$ |
$5$ |
$135561.594855$ |
| 12.12.117...125.1 |
$x^{12} - x^{11} - 207 x^{10} + 103 x^{9} + 12442 x^{8} - 6631 x^{7} - 274962 x^{6} + 192113 x^{5} + 2054378 x^{4} - 386673 x^{3} - 5477965 x^{2} - 3094456 x - 254981$ |
$12$ |
[12,0] |
$3^{6}\cdot 5^{6}\cdot 7^{8}\cdot 13^{11}$ |
$4$ |
$148.784970252$ |
$148.78497025217644$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[6]$ |
$2$ |
$11$ |
$148675378.104$ |
| 12.12.127...000.1 |
$x^{12} - 114 x^{10} - 140 x^{9} + 4266 x^{8} + 8820 x^{7} - 54574 x^{6} - 128520 x^{5} + 206511 x^{4} + 497840 x^{3} + 71160 x^{2} - 144900 x - 44605$ |
$12$ |
[12,0] |
$2^{18}\cdot 3^{16}\cdot 5^{9}\cdot 7^{8}$ |
$4$ |
$149.738287876$ |
$149.73828787623574$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$1493089439.48$ |
| 12.0.127...000.2 |
$x^{12} - 54 x^{10} - 140 x^{9} + 1746 x^{8} + 8820 x^{7} - 14894 x^{6} - 216720 x^{5} - 367629 x^{4} + 1928640 x^{3} + 11040780 x^{2} + 22669500 x + 19484695$ |
$12$ |
[0,6] |
$2^{18}\cdot 3^{16}\cdot 5^{9}\cdot 7^{8}$ |
$4$ |
$149.738287876$ |
$149.73828787623574$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2, 3606]$ |
$2$ |
$5$ |
$8321.40669675$ |
| 12.0.250...461.2 |
$x^{12} - x^{11} + 3 x^{10} - 133 x^{9} + 105 x^{8} + 9197 x^{7} + 84627 x^{6} + 586226 x^{5} + 2630736 x^{4} + 9136664 x^{3} + 25921710 x^{2} + 41864165 x + 31345663$ |
$12$ |
[0,6] |
$7^{8}\cdot 61^{11}$ |
$2$ |
$158.471453796$ |
$158.47145379582074$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[723]$ |
$2$ |
$5$ |
$122611.17226418195$ |
| 12.0.264...433.2 |
$x^{12} - 3 x^{11} - 48 x^{10} + 6 x^{9} + 1932 x^{8} + 5442 x^{7} - 15703 x^{6} - 147954 x^{5} - 107166 x^{4} + 1833927 x^{3} + 10367943 x^{2} + 24144189 x + 33083497$ |
$12$ |
[0,6] |
$3^{18}\cdot 7^{8}\cdot 17^{9}$ |
$3$ |
$159.190543855$ |
$159.19054385459242$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[13, 390]$ |
$2$ |
$5$ |
$23314.354920427802$ |
| 12.0.444...277.1 |
$x^{12} - 728 x^{9} + 36309 x^{7} + 112112 x^{6} - 1404585 x^{5} - 5083260 x^{4} - 5368636 x^{3} + 305075862 x^{2} + 706506255 x + 920565009$ |
$12$ |
[0,6] |
$3^{16}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$166.216872291$ |
$166.2168722913816$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[3, 3, 3, 219]$ |
$2$ |
$5$ |
$152178.29215441423$ |
| 12.12.114...000.2 |
$x^{12} - 174 x^{10} - 140 x^{9} + 9666 x^{8} + 8820 x^{7} - 187374 x^{6} + 60480 x^{5} + 1366731 x^{4} - 2579360 x^{3} + 1412100 x^{2} + 23100 x - 138545$ |
$12$ |
[12,0] |
$2^{18}\cdot 3^{18}\cdot 5^{9}\cdot 7^{8}$ |
$4$ |
$179.826243515$ |
$179.82624351535432$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[6]$ |
$2$ |
$11$ |
$2789621393.311044$ |
| 12.0.114...000.2 |
$x^{12} + 6 x^{10} - 140 x^{9} + 2106 x^{8} + 8820 x^{7} + 37266 x^{6} - 204120 x^{5} + 47511 x^{4} + 6417040 x^{3} + 61248960 x^{2} + 181362300 x + 340420555$ |
$12$ |
[0,6] |
$2^{18}\cdot 3^{18}\cdot 5^{9}\cdot 7^{8}$ |
$4$ |
$179.826243515$ |
$179.82624351535432$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2, 2, 4974]$ |
$2$ |
$5$ |
$8321.406696750955$ |
| 12.12.197...712.1 |
$x^{12} - 2 x^{11} - 295 x^{10} + 226 x^{9} + 26887 x^{8} + 10368 x^{7} - 930346 x^{6} - 979080 x^{5} + 11701543 x^{4} + 14039618 x^{3} - 30087775 x^{2} + 9375398 x + 152881$ |
$12$ |
[12,0] |
$2^{18}\cdot 3^{6}\cdot 7^{8}\cdot 13^{11}$ |
$4$ |
$188.199755039$ |
$188.19975503890976$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[6]$ |
$2$ |
$11$ |
$4302526246.879572$ |
| 12.0.197...712.2 |
$x^{12} - 2 x^{11} + 173 x^{10} - 86 x^{9} + 15343 x^{8} + 9120 x^{7} + 590966 x^{6} + 1135032 x^{5} + 4519615 x^{4} - 8157310 x^{3} + 140764205 x^{2} + 550904126 x + 1564508401$ |
$12$ |
[0,6] |
$2^{18}\cdot 3^{6}\cdot 7^{8}\cdot 13^{11}$ |
$4$ |
$188.199755039$ |
$188.19975503890976$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 2, 2, 10, 2220]$ |
$2$ |
$5$ |
$6176.96689838073$ |
| 12.12.400...493.1 |
$x^{12} - 273 x^{10} - 728 x^{9} + 22932 x^{8} + 107016 x^{7} - 614705 x^{6} - 4294017 x^{5} + 1431339 x^{4} + 53467869 x^{3} + 89612523 x^{2} - 60397155 x - 170142063$ |
$12$ |
[12,0] |
$3^{18}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$199.615984508$ |
$199.61598450849033$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3, 3]$ |
$2$ |
$11$ |
$2219984790.474252$ |
| 12.12.107...968.1 |
$x^{12} - 123 x^{10} - 140 x^{9} + 4830 x^{8} + 8820 x^{7} - 67849 x^{6} - 141540 x^{5} + 298011 x^{4} + 544460 x^{3} - 485412 x^{2} - 518070 x + 190693$ |
$12$ |
[12,0] |
$2^{12}\cdot 3^{16}\cdot 7^{8}\cdot 13^{9}$ |
$4$ |
$216.794308356$ |
$216.79430835601232$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$4451929728.479365$ |
| 12.12.412...153.1 |
$x^{12} - x^{11} - 238 x^{10} + 23 x^{9} + 17680 x^{8} + 3980 x^{7} - 499037 x^{6} - 252493 x^{5} + 5633847 x^{4} + 3200307 x^{3} - 25288147 x^{2} - 11337102 x + 33139737$ |
$12$ |
[12,0] |
$7^{8}\cdot 97^{11}$ |
$2$ |
$242.441027766$ |
$242.44102776559907$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[3]$ |
$2$ |
$11$ |
$10697364044.663048$ |
| 12.12.887...104.1 |
$x^{12} - 260 x^{10} + 13754 x^{8} - 205088 x^{6} + 1212640 x^{4} - 2675712 x^{2} + 880256$ |
$12$ |
[12,0] |
$2^{33}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$258.43178128$ |
$258.43178128034293$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[6]$ |
$2$ |
$11$ |
$27813377589.907055$ |
| 12.0.887...104.1 |
$x^{12} + 260 x^{10} + 13754 x^{8} + 205088 x^{6} + 1212640 x^{4} + 2675712 x^{2} + 880256$ |
$12$ |
[0,6] |
$2^{33}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$258.43178128$ |
$258.43178128034293$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 2, 25980]$ |
$2$ |
$5$ |
$280406.634104081$ |
| 12.0.887...104.2 |
$x^{12} + 260 x^{10} + 23114 x^{8} + 814112 x^{6} + 10381280 x^{4} + 42478592 x^{2} + 2278016$ |
$12$ |
[0,6] |
$2^{33}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$258.43178128$ |
$258.43178128034293$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 2, 14460]$ |
$2$ |
$5$ |
$280406.634104081$ |
| 12.12.887...104.2 |
$x^{12} - 260 x^{10} + 23114 x^{8} - 814112 x^{6} + 10381280 x^{4} - 42478592 x^{2} + 2278016$ |
$12$ |
[12,0] |
$2^{33}\cdot 7^{8}\cdot 13^{11}$ |
$3$ |
$258.43178128$ |
$258.43178128034293$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[6]$ |
$2$ |
$11$ |
$31620085549.92992$ |
| 12.0.970...712.2 |
$x^{12} + 33 x^{10} - 140 x^{9} + 2646 x^{8} + 8820 x^{7} + 17691 x^{6} - 480060 x^{5} - 2291121 x^{4} + 5105380 x^{3} + 87803568 x^{2} + 278990250 x + 366529393$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{18}\cdot 7^{8}\cdot 13^{9}$ |
$4$ |
$260.356296577$ |
$260.3562965765569$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2, 35286]$ |
$2$ |
$5$ |
$29615.998512609494$ |
| 12.0.120...952.2 |
$x^{12} - 33 x^{10} - 140 x^{9} + 1575 x^{8} + 8820 x^{7} - 709 x^{6} - 206640 x^{5} - 346269 x^{4} + 3026660 x^{3} + 21758073 x^{2} + 55541430 x + 71323433$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{16}\cdot 7^{8}\cdot 17^{9}$ |
$4$ |
$265.110575819$ |
$265.1105758191317$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[22, 4818]$ |
$2$ |
$5$ |
$23314.354920427802$ |
| 12.12.108...568.1 |
$x^{12} - 237 x^{10} - 140 x^{9} + 18711 x^{8} + 8820 x^{7} - 555249 x^{6} + 521640 x^{5} + 6009759 x^{4} - 16932020 x^{3} + 13714353 x^{2} + 120750 x - 2799287$ |
$12$ |
[12,0] |
$2^{12}\cdot 3^{18}\cdot 7^{8}\cdot 17^{9}$ |
$4$ |
$318.381087709$ |
$318.38108770918484$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[6]$ |
$2$ |
$11$ |
$15039383742.715563$ |
| 12.12.182...592.3 |
$x^{12} - 546 x^{10} + 85995 x^{8} - 5429788 x^{6} + 139107423 x^{4} - 1318343481 x^{2} + 4067709373$ |
$12$ |
[12,0] |
$2^{12}\cdot 3^{16}\cdot 7^{8}\cdot 13^{11}$ |
$4$ |
$332.433744583$ |
$332.4337445827632$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3, 3]$ |
$2$ |
$11$ |
$35348798873.55391$ |
| 12.0.163...328.1 |
$x^{12} + 546 x^{10} + 85995 x^{8} + 3149328 x^{6} + 33750171 x^{4} + 10955763 x^{2} + 280917$ |
$12$ |
[0,6] |
$2^{12}\cdot 3^{18}\cdot 7^{8}\cdot 13^{11}$ |
$4$ |
$399.231969017$ |
$399.23196901698066$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 6, 21246]$ |
$2$ |
$5$ |
$152178.29215441423$ |
| 12.12.646...816.1 |
$x^{12} - 4 x^{11} - 582 x^{10} + 2172 x^{9} + 104035 x^{8} - 303144 x^{7} - 7201336 x^{6} + 21224160 x^{5} + 203116800 x^{4} - 703685696 x^{3} - 1653158680 x^{2} + 7997515152 x - 6382894244$ |
$12$ |
[12,0] |
$2^{33}\cdot 3^{6}\cdot 7^{8}\cdot 13^{11}$ |
$4$ |
$447.616975468$ |
$447.6169754680814$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[12]$ |
$2$ |
$11$ |
$985608149236.2239$ |
| 12.0.646...816.2 |
$x^{12} - 4 x^{11} + 354 x^{10} - 948 x^{9} + 51931 x^{8} - 155880 x^{7} + 1803608 x^{6} + 6044736 x^{5} - 246375360 x^{4} + 568270912 x^{3} + 5010387560 x^{2} - 23590792560 x + 30754259836$ |
$12$ |
[0,6] |
$2^{33}\cdot 3^{6}\cdot 7^{8}\cdot 13^{11}$ |
$4$ |
$447.616975468$ |
$447.6169754680814$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 2, 2, 342060]$ |
$2$ |
$5$ |
$280406.634104081$ |
| 12.0.646...816.4 |
$x^{12} - 4 x^{11} + 354 x^{10} - 948 x^{9} + 68779 x^{8} - 200808 x^{7} + 8475416 x^{6} - 21765696 x^{5} + 661653216 x^{4} - 1713577280 x^{3} + 34986483944 x^{2} - 74770613616 x + 800771657596$ |
$12$ |
[0,6] |
$2^{33}\cdot 3^{6}\cdot 7^{8}\cdot 13^{11}$ |
$4$ |
$447.616975468$ |
$447.6169754680814$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 2, 122, 12444]$ |
$2$ |
$5$ |
$280406.634104081$ |
