| Label |
Polynomial |
Degree |
Signature |
Discriminant |
Ram. prime count |
Root discriminant |
Galois root discriminant |
CM field |
Galois |
Monogenic |
Galois group |
Class group |
Narrow class group |
Unit group torsion |
Unit group rank |
Regulator |
Unit signature rank |
| 12.0.334...753.1 |
$x^{12} - x^{11} + 19 x^{10} - 23 x^{9} + 176 x^{8} - 268 x^{7} + 1182 x^{6} - 657 x^{5} + 5679 x^{4} + 2872 x^{3} + 20040 x^{2} + 13806 x + 66403$ |
$12$ |
(0, 6) |
$7^{10}\cdot 17^{9}$ |
$2$ |
$42.372594576$ |
$42.37259457601357$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[26]$ |
$[26]$ |
$2$ |
$5$ |
$1059.54542703$ |
$0$ |
| 12.2.751...968.1 |
$x^{12} - 3 x^{11} - 26 x^{9} + 338 x^{8} - 1592 x^{7} + 3992 x^{6} - 4946 x^{5} + 1813 x^{4} - 209 x^{3} + 2324 x^{2} - 432 x - 324$ |
$12$ |
(2, 5) |
$-\,2^{8}\cdot 17^{9}\cdot 19^{5}$ |
$3$ |
$45.32495224683925$ |
$57.92955005307358$ |
|
|
|
$D_{12}$ (as 12T12) |
$[3, 6]$ |
$[3, 6]$ |
$2$ |
$6$ |
$63190.5509521937$ |
$2$ |
| 12.2.467...571.1 |
$x^{12} - 4 x^{11} - x^{10} + 39 x^{9} - 176 x^{8} + 265 x^{7} - 1048 x^{6} - 188 x^{5} - 2184 x^{4} - 7136 x^{3} - 7264 x^{2} + 13568 x - 9728$ |
$12$ |
(2, 5) |
$-\,17^{9}\cdot 83^{5}$ |
$2$ |
$52.777955529708954$ |
$76.27386208752327$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$2339781.7790190997$ |
$2$ |
| 12.0.498...713.1 |
$x^{12} - x^{11} + 23 x^{10} - 37 x^{9} + 402 x^{8} - 674 x^{7} + 5157 x^{6} - 7104 x^{5} + 41776 x^{4} - 40752 x^{3} + 184028 x^{2} - 86021 x + 371293$ |
$12$ |
(0, 6) |
$3^{6}\cdot 7^{8}\cdot 17^{9}$ |
$3$ |
$53.0635146182$ |
$53.06351461819747$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[370]$ |
$[370]$ |
$2$ |
$5$ |
$1059.54542703$ |
$0$ |
| 12.2.144...928.1 |
$x^{12} - x^{11} - 19 x^{10} + 97 x^{9} - 75 x^{8} - 1447 x^{7} + 2859 x^{6} - 297 x^{5} - 9082 x^{4} + 37604 x^{3} - 88244 x^{2} + 116324 x - 79768$ |
$12$ |
(2, 5) |
$-\,2^{15}\cdot 13^{5}\cdot 17^{9}$ |
$3$ |
$57.978536556357206$ |
$85.37945154480687$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2]$ |
$[2, 2]$ |
$2$ |
$6$ |
$33836552.69774587$ |
$1$ |
| 12.2.151...000.1 |
$x^{12} - x^{11} - 12 x^{10} - 24 x^{9} + 61 x^{8} + 587 x^{7} + 1618 x^{6} + 714 x^{5} - 6656 x^{4} - 18992 x^{3} - 26752 x^{2} - 15872 x - 4096$ |
$12$ |
(2, 5) |
$-\,2^{15}\cdot 5^{8}\cdot 17^{9}$ |
$3$ |
$58.224288277151885$ |
$69.24073788515855$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$24391694.435666047$ |
$2$ |
| 12.2.446...776.1 |
$x^{12} - x^{11} - 5 x^{10} + 157 x^{9} - 184 x^{8} - 1566 x^{7} + 4992 x^{6} - 5384 x^{5} - 16648 x^{4} + 36900 x^{3} - 36752 x^{2} + 16464 x - 7056$ |
$12$ |
(2, 5) |
$-\,2^{8}\cdot 17^{9}\cdot 43^{5}$ |
$3$ |
$63.699380884213966$ |
$87.14803167814277$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2]$ |
$[2]$ |
$2$ |
$6$ |
$4241241.611498162$ |
$2$ |
| 12.12.106...625.1 |
$x^{12} - x^{11} - 79 x^{10} + 99 x^{9} + 2204 x^{8} - 2986 x^{7} - 27143 x^{6} + 36484 x^{5} + 146564 x^{4} - 180968 x^{3} - 276332 x^{2} + 249627 x + 77771$ |
$12$ |
(12, 0) |
$5^{6}\cdot 7^{8}\cdot 17^{9}$ |
$3$ |
$68.5047028025$ |
$68.50470280250421$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[2]$ |
$[2]$ |
$2$ |
$11$ |
$8214478.56435$ |
$12$ |
| 12.0.121...000.1 |
$x^{12} - 2 x^{11} - 17 x^{10} + 20 x^{9} + 297 x^{8} - 458 x^{7} - 3219 x^{6} + 8456 x^{5} + 22106 x^{4} - 41216 x^{3} - 95024 x^{2} + 28416 x + 251392$ |
$12$ |
(0, 6) |
$2^{18}\cdot 5^{8}\cdot 17^{9}$ |
$3$ |
$69.24073788515855$ |
$69.24073788515855$ |
|
|
|
$D_{12}$ (as 12T12) |
$[8]$ |
$[8]$ |
$2$ |
$5$ |
$11644411.29049373$ |
$0$ |
| 12.0.387...393.1 |
$x^{12} - 4 x^{11} + 21 x^{10} - 92 x^{9} + 440 x^{8} - 1638 x^{7} + 4393 x^{6} - 11248 x^{5} + 23045 x^{4} - 33962 x^{3} + 72020 x^{2} - 12800 x + 40000$ |
$12$ |
(0, 6) |
$17^{9}\cdot 83^{6}$ |
$2$ |
$76.27386208752327$ |
$76.27386208752327$ |
|
|
|
$D_{12}$ (as 12T12) |
$[8]$ |
$[8]$ |
$2$ |
$5$ |
$1116994.2062353299$ |
$0$ |
| 12.2.507...504.1 |
$x^{12} - 5 x^{11} + 40 x^{10} + 26 x^{9} - 193 x^{8} + 517 x^{7} + 1196 x^{6} - 8534 x^{5} - 21156 x^{4} - 15948 x^{3} - 5488 x^{2} - 920 x - 64$ |
$12$ |
(2, 5) |
$-\,2^{10}\cdot 17^{9}\cdot 53^{5}$ |
$3$ |
$78.00874656270398$ |
$121.90025707407696$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2, 4]$ |
$[2, 4]$ |
$2$ |
$6$ |
$43870346.037452236$ |
$2$ |
| 12.0.705...673.1 |
$x^{12} - x^{11} + 15 x^{10} - 41 x^{9} + 360 x^{8} - 512 x^{7} + 5035 x^{6} - 3360 x^{5} + 53766 x^{4} - 8594 x^{3} + 289996 x^{2} - 4499 x + 664747$ |
$12$ |
(0, 6) |
$3^{6}\cdot 13^{8}\cdot 17^{9}$ |
$3$ |
$80.1726465058$ |
$80.17264650581194$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[3, 390]$ |
$[3, 390]$ |
$2$ |
$5$ |
$3407.79685773$ |
$0$ |
| 12.12.137...288.1 |
$x^{12} - 119 x^{10} + 5474 x^{8} - 123403 x^{6} + 1416100 x^{4} - 7703584 x^{2} + 15407168$ |
$12$ |
(12, 0) |
$2^{12}\cdot 7^{10}\cdot 17^{9}$ |
$3$ |
$84.745189152$ |
$84.74518915202714$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[2]$ |
$[2, 2, 2]$ |
$2$ |
$11$ |
$20375348.6618$ |
$10$ |
| 12.0.150...512.1 |
$x^{12} - 4 x^{11} + 22 x^{10} - 60 x^{9} + 509 x^{8} + 760 x^{7} + 100 x^{6} + 25192 x^{5} - 20020 x^{4} + 145872 x^{3} + 298800 x^{2} - 537600 x + 2160512$ |
$12$ |
(0, 6) |
$2^{18}\cdot 13^{6}\cdot 17^{9}$ |
$3$ |
$85.37945154480687$ |
$85.37945154480687$ |
|
|
|
$D_{12}$ (as 12T12) |
$[2, 8]$ |
$[2, 8]$ |
$2$ |
$5$ |
$16153315.51910937$ |
$0$ |
| 12.2.167...816.1 |
$x^{12} - 3 x^{11} - 27 x^{10} + 79 x^{9} + 159 x^{8} - 651 x^{7} + 3807 x^{6} - 12351 x^{5} + 5328 x^{4} - 17218 x^{3} - 14436 x^{2} - 1680 x - 800$ |
$12$ |
(2, 5) |
$-\,2^{15}\cdot 3^{16}\cdot 17^{9}$ |
$3$ |
$86.15606566104601$ |
$102.45740628475754$ |
|
|
|
$D_{12}$ (as 12T12) |
$[6]$ |
$[6]$ |
$2$ |
$6$ |
$105531209.64644696$ |
$2$ |
| 12.0.212...389.1 |
$x^{12} - x^{11} + 27 x^{10} - 27 x^{9} + 248 x^{8} + 2430 x^{7} - 1624 x^{6} + 24387 x^{5} - 23581 x^{4} - 65001 x^{3} + 754326 x^{2} - 903163 x + 1041353$ |
$12$ |
(0, 6) |
$13^{11}\cdot 17^{9}$ |
$2$ |
$87.8924216787$ |
$87.89242167872116$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 1220]$ |
$[2, 1220]$ |
$2$ |
$5$ |
$15210.0493679$ |
$0$ |
| 12.0.212...389.2 |
$x^{12} - x^{11} + 27 x^{10} - 27 x^{9} + 248 x^{8} - 1990 x^{7} + 8100 x^{6} - 22907 x^{5} + 13105 x^{4} - 469 x^{3} + 244258 x^{2} + 1229045 x + 1041353$ |
$12$ |
(0, 6) |
$13^{11}\cdot 17^{9}$ |
$2$ |
$87.8924216787$ |
$87.89242167872116$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[10, 20]$ |
$[10, 20]$ |
$2$ |
$5$ |
$15210.0493679$ |
$0$ |
| 12.0.121...417.1 |
$x^{12} - x^{11} + 125 x^{10} - 173 x^{9} + 7168 x^{8} - 11010 x^{7} + 239825 x^{6} - 341188 x^{5} + 4830676 x^{4} - 5261792 x^{3} + 53983724 x^{2} - 32202285 x + 259280239$ |
$12$ |
(0, 6) |
$7^{8}\cdot 11^{6}\cdot 17^{9}$ |
$3$ |
$101.608894657$ |
$101.60889465657395$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[10642]$ |
$[10642]$ |
$2$ |
$5$ |
$1059.54542703$ |
$0$ |
| 12.0.133...528.2 |
$x^{12} - 6 x^{11} - 21 x^{10} + 120 x^{9} + 369 x^{8} - 1782 x^{7} + 41 x^{6} + 27012 x^{5} - 47034 x^{4} - 72264 x^{3} + 319308 x^{2} - 464784 x + 284120$ |
$12$ |
(0, 6) |
$2^{18}\cdot 3^{16}\cdot 17^{9}$ |
$3$ |
$102.45740628475754$ |
$102.45740628475754$ |
|
|
|
$D_{12}$ (as 12T12) |
$[24]$ |
$[24]$ |
$2$ |
$5$ |
$50379804.99254284$ |
$0$ |
| 12.0.146...833.1 |
$x^{12} - x^{11} + 7 x^{10} - 5 x^{9} + 336 x^{8} - 1004 x^{7} + 6437 x^{6} - 12084 x^{5} + 58454 x^{4} - 92274 x^{3} + 412674 x^{2} - 482611 x + 1547713$ |
$12$ |
(0, 6) |
$3^{6}\cdot 17^{9}\cdot 19^{8}$ |
$3$ |
$103.252296303$ |
$103.25229630340456$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[13, 130]$ |
$[13, 130]$ |
$2$ |
$5$ |
$5500.24745416$ |
$0$ |
| 12.12.151...625.1 |
$x^{12} - x^{11} - 87 x^{10} + 95 x^{9} + 2570 x^{8} - 3096 x^{7} - 31141 x^{6} + 41588 x^{5} + 154066 x^{4} - 234762 x^{3} - 228504 x^{2} + 465381 x - 167539$ |
$12$ |
(12, 0) |
$5^{6}\cdot 13^{8}\cdot 17^{9}$ |
$3$ |
$103.502441579$ |
$103.50244157946129$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[2]$ |
$[2, 2, 2]$ |
$2$ |
$11$ |
$83562589.796$ |
$10$ |
| 12.12.204...448.1 |
$x^{12} - 4 x^{11} - 155 x^{10} + 534 x^{9} + 9577 x^{8} - 26980 x^{7} - 302031 x^{6} + 642746 x^{5} + 5116627 x^{4} - 7179172 x^{3} - 43917151 x^{2} + 29826220 x + 147185389$ |
$12$ |
(12, 0) |
$2^{12}\cdot 3^{6}\cdot 7^{8}\cdot 17^{9}$ |
$4$ |
$106.127029236$ |
$106.12702923639495$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[2]$ |
$[2, 2, 2]$ |
$2$ |
$11$ |
$192784308.366$ |
$10$ |
| 12.12.878...432.1 |
$x^{12} - 238 x^{10} + 21896 x^{8} - 987224 x^{6} + 22657600 x^{4} - 246514688 x^{2} + 986058752$ |
$12$ |
(12, 0) |
$2^{18}\cdot 7^{10}\cdot 17^{9}$ |
$3$ |
$119.847795845$ |
$119.84779584467006$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[2]$ |
$[2, 2, 2]$ |
$2$ |
$11$ |
$314056718.454$ |
$10$ |
| 12.0.878...432.1 |
$x^{12} + 238 x^{10} + 21896 x^{8} + 987224 x^{6} + 22657600 x^{4} + 246514688 x^{2} + 986058752$ |
$12$ |
(0, 6) |
$2^{18}\cdot 7^{10}\cdot 17^{9}$ |
$3$ |
$119.847795845$ |
$119.84779584467006$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2, 12010]$ |
$[2, 2, 12010]$ |
$2$ |
$5$ |
$1059.54542703$ |
$0$ |
| 12.0.113...713.1 |
$x^{12} - x^{11} + 66 x^{10} - 109 x^{9} + 2468 x^{8} - 3963 x^{7} + 59792 x^{6} - 70408 x^{5} + 956959 x^{4} - 604359 x^{3} + 8687928 x^{2} - 2044686 x + 33557129$ |
$12$ |
(0, 6) |
$7^{6}\cdot 13^{8}\cdot 17^{9}$ |
$3$ |
$122.465740426$ |
$122.46574042594001$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[4562]$ |
$[4562]$ |
$2$ |
$5$ |
$3407.79685773$ |
$0$ |
| 12.0.119...737.1 |
$x^{12} - x^{11} + 146 x^{10} - 163 x^{9} + 6181 x^{8} - 4081 x^{7} + 102178 x^{6} + 82612 x^{5} + 2070122 x^{4} + 1606014 x^{3} + 11284568 x^{2} + 743219 x + 56906617$ |
$12$ |
(0, 6) |
$3^{6}\cdot 13^{10}\cdot 17^{9}$ |
$3$ |
$122.93723619$ |
$122.9372361901221$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 46, 92]$ |
$[2, 46, 92]$ |
$2$ |
$5$ |
$3407.79685773$ |
$0$ |
| 12.12.314...625.1 |
$x^{12} - x^{11} - 95 x^{10} + 131 x^{9} + 2954 x^{8} - 3860 x^{7} - 37763 x^{6} + 36264 x^{5} + 182146 x^{4} - 77178 x^{3} - 146082 x^{2} + 12973 x + 5099$ |
$12$ |
(12, 0) |
$5^{6}\cdot 17^{9}\cdot 19^{8}$ |
$3$ |
$133.298141347$ |
$133.29814134691983$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[2]$ |
$[2]$ |
$2$ |
$11$ |
$289155565.828$ |
$12$ |
| 12.0.437...000.1 |
$x^{12} - 4 x^{11} + 253 x^{10} - 826 x^{9} + 26849 x^{8} - 69412 x^{7} + 1527577 x^{6} - 2957446 x^{5} + 49180355 x^{4} - 63981204 x^{3} + 853330065 x^{2} - 566133668 x + 6257111461$ |
$12$ |
(0, 6) |
$2^{12}\cdot 5^{6}\cdot 7^{8}\cdot 17^{9}$ |
$4$ |
$137.009405605$ |
$137.00940560500842$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 10, 1460]$ |
$[2, 10, 1460]$ |
$2$ |
$5$ |
$1059.54542703$ |
$0$ |
| 12.0.737...033.1 |
$x^{12} - x^{11} - 9 x^{10} + 7 x^{9} + 477 x^{8} - 1295 x^{7} + 5845 x^{6} - 6579 x^{5} + 83358 x^{4} - 78020 x^{3} + 718264 x^{2} - 1035392 x + 4182016$ |
$12$ |
(0, 6) |
$3^{6}\cdot 17^{9}\cdot 31^{8}$ |
$3$ |
$143.099609166$ |
$143.0996091663731$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[225010]$ |
$[225010]$ |
$2$ |
$5$ |
$636264.446694$ |
$0$ |
| 12.0.971...097.1 |
$x^{12} - x^{11} + 85 x^{10} - 224 x^{9} + 5655 x^{8} - 9533 x^{7} + 154111 x^{6} - 58354 x^{5} + 3271044 x^{4} - 921120 x^{3} + 28242128 x^{2} + 4204256 x + 95825344$ |
$12$ |
(0, 6) |
$17^{9}\cdot 31^{10}$ |
$2$ |
$146.432710915$ |
$146.43271091481748$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[7, 70]$ |
$[7, 70]$ |
$2$ |
$5$ |
$636264.446694$ |
$0$ |
| 12.0.101...233.1 |
$x^{12} - x^{11} + 278 x^{10} - 377 x^{9} + 33382 x^{8} - 50229 x^{7} + 2215412 x^{6} - 3147004 x^{5} + 85217641 x^{4} - 95184737 x^{3} + 1783472978 x^{2} - 1125206796 x + 15763541053$ |
$12$ |
(0, 6) |
$7^{8}\cdot 17^{9}\cdot 23^{6}$ |
$3$ |
$146.926218926$ |
$146.92621892594042$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[132130]$ |
$[132130]$ |
$2$ |
$5$ |
$1059.54542703$ |
$0$ |
| 12.12.130...672.1 |
$x^{12} - 4 x^{11} - 308 x^{10} + 1044 x^{9} + 38443 x^{8} - 105316 x^{7} - 2489370 x^{6} + 5128808 x^{5} + 88102348 x^{4} - 120290644 x^{3} - 1611480844 x^{2} + 1082254876 x + 11836891513$ |
$12$ |
(12, 0) |
$2^{18}\cdot 3^{6}\cdot 7^{8}\cdot 17^{9}$ |
$4$ |
$150.08628408$ |
$150.0862840804757$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[2]$ |
$[2, 2, 2]$ |
$2$ |
$11$ |
$578135283.1483266$ |
$10$ |
| 12.0.130...672.1 |
$x^{12} - 4 x^{11} + 304 x^{10} - 996 x^{9} + 38647 x^{8} - 100420 x^{7} + 2626542 x^{6} - 5111584 x^{5} + 100710568 x^{4} - 131522884 x^{3} + 2073287516 x^{2} - 1376257244 x + 17965056817$ |
$12$ |
(0, 6) |
$2^{18}\cdot 3^{6}\cdot 7^{8}\cdot 17^{9}$ |
$4$ |
$150.08628408$ |
$150.0862840804757$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2, 16516]$ |
$[2, 2, 16516]$ |
$2$ |
$5$ |
$1059.5454270327698$ |
$0$ |
| 12.0.264...433.1 |
$x^{12} - 3 x^{11} - 48 x^{10} + 34 x^{9} + 1869 x^{8} + 3741 x^{7} - 16102 x^{6} - 111708 x^{5} + 28872 x^{4} + 1341344 x^{3} + 7602432 x^{2} + 18345984 x + 30932992$ |
$12$ |
(0, 6) |
$3^{18}\cdot 7^{8}\cdot 17^{9}$ |
$3$ |
$159.190543855$ |
$159.19054385459242$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[351030]$ |
$[351030]$ |
$2$ |
$5$ |
$1065625.9379812907$ |
$0$ |
| 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) |
$[13, 390]$ |
$[13, 390]$ |
$2$ |
$5$ |
$23314.354920427802$ |
$0$ |
| 12.12.288...608.1 |
$x^{12} - 4 x^{11} - 163 x^{10} + 550 x^{9} + 10261 x^{8} - 28700 x^{7} - 314151 x^{6} + 709102 x^{5} + 4849639 x^{4} - 8155824 x^{3} - 35256455 x^{2} + 33477028 x + 95601337$ |
$12$ |
(12, 0) |
$2^{12}\cdot 3^{6}\cdot 13^{8}\cdot 17^{9}$ |
$4$ |
$160.345293012$ |
$160.34529301162388$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[2]$ |
$[2, 2, 2]$ |
$2$ |
$11$ |
$1532734158.7070656$ |
$10$ |
| 12.12.530...713.1 |
$x^{12} - x^{11} - 271 x^{10} - 211 x^{9} + 20291 x^{8} + 19649 x^{7} - 548281 x^{6} - 448394 x^{5} + 5120249 x^{4} + 4006970 x^{3} - 10131165 x^{2} - 7301295 x - 284423$ |
$12$ |
(12, 0) |
$3^{6}\cdot 17^{9}\cdot 19^{10}$ |
$3$ |
$168.665135359$ |
$168.66513535944713$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[2]$ |
$[2, 2, 2]$ |
$2$ |
$11$ |
$818798580.0306567$ |
$10$ |
| 12.12.570...953.1 |
$x^{12} - x^{11} - 213 x^{10} + 452 x^{9} + 13076 x^{8} - 23653 x^{7} - 330007 x^{6} + 341359 x^{5} + 3379968 x^{4} - 956419 x^{3} - 10637934 x^{2} - 1588472 x + 1541224$ |
$12$ |
(12, 0) |
$17^{9}\cdot 37^{10}$ |
$2$ |
$169.695943597$ |
$169.69594359718195$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[10]$ |
$[10]$ |
$2$ |
$11$ |
$458709657.23584884$ |
$12$ |
| 12.12.870...344.1 |
$x^{12} - 221 x^{10} + 16133 x^{8} - 495924 x^{6} + 6033742 x^{4} - 17053023 x^{2} + 1596725$ |
$12$ |
(12, 0) |
$2^{12}\cdot 13^{11}\cdot 17^{9}$ |
$3$ |
$175.784843357$ |
$175.78484335744233$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 4]$ |
$[2, 2, 4]$ |
$2$ |
$11$ |
$595732333.4015169$ |
$11$ |
| 12.12.870...344.2 |
$x^{12} - 221 x^{10} + 16133 x^{8} - 465868 x^{6} + 4651166 x^{4} - 13987311 x^{2} + 1596725$ |
$12$ |
(12, 0) |
$2^{12}\cdot 13^{11}\cdot 17^{9}$ |
$3$ |
$175.784843357$ |
$175.78484335744233$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[2, 4]$ |
$[2, 2, 4]$ |
$2$ |
$11$ |
$3231840556.840056$ |
$11$ |
| 12.0.144...913.1 |
$x^{12} - 3 x^{11} + 3 x^{10} - 68 x^{9} + 2328 x^{8} + 5016 x^{7} + 49195 x^{6} - 76773 x^{5} + 1130217 x^{4} + 3439756 x^{3} + 46784916 x^{2} + 114799632 x + 410355856$ |
$12$ |
(0, 6) |
$3^{16}\cdot 7^{10}\cdot 17^{9}$ |
$3$ |
$183.33556896$ |
$183.33556896019678$ |
✓ |
✓ |
|
$C_{12}$ (as 12T1) |
$[13, 78]$ |
$[13, 78]$ |
$2$ |
$5$ |
$1065625.9379812907$ |
$0$ |
| 12.0.144...913.2 |
$x^{12} - 3 x^{11} + 3 x^{10} - 96 x^{9} + 2391 x^{8} + 6717 x^{7} + 50665 x^{6} - 93741 x^{5} + 860661 x^{4} + 5014525 x^{3} + 53209677 x^{2} + 146661336 x + 423141391$ |
$12$ |
(0, 6) |
$3^{16}\cdot 7^{10}\cdot 17^{9}$ |
$3$ |
$183.33556896$ |
$183.33556896019678$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[7278]$ |
$[7278]$ |
$2$ |
$5$ |
$23314.354920427802$ |
$0$ |
| 12.12.601...968.1 |
$x^{12} - 4 x^{11} - 171 x^{10} + 606 x^{9} + 10873 x^{8} - 31020 x^{7} - 326743 x^{6} + 627546 x^{5} + 4865283 x^{4} - 4598492 x^{3} - 31811167 x^{2} + 8822928 x + 66417457$ |
$12$ |
(12, 0) |
$2^{12}\cdot 3^{6}\cdot 17^{9}\cdot 19^{8}$ |
$4$ |
$206.504592607$ |
$206.50459260680913$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[3, 6]$ |
$[2, 6, 6]$ |
$2$ |
$11$ |
$409298588.2540472$ |
$10$ |
| 12.12.802...857.3 |
$x^{12} - 4 x^{11} - 152 x^{10} + 748 x^{9} + 5649 x^{8} - 39624 x^{7} + 11800 x^{6} + 403933 x^{5} - 1025690 x^{4} + 553946 x^{3} + 1041834 x^{2} - 1517303 x + 565118$ |
$12$ |
(12, 0) |
$17^{9}\cdot 127^{8}$ |
$2$ |
$211.53026087633702$ |
$211.53026087633702$ |
|
|
|
$C_3\times S_4$ (as 12T45) |
$[4]$ |
$[8]$ |
$2$ |
$11$ |
$22019643173.340816$ |
$11$ |
| 12.12.488...752.1 |
$x^{12} - 663 x^{10} + 139230 x^{8} - 11056851 x^{6} + 395612100 x^{4} - 6456389472 x^{2} + 38738336832$ |
$12$ |
(12, 0) |
$2^{12}\cdot 3^{6}\cdot 13^{10}\cdot 17^{9}$ |
$4$ |
$245.87447238$ |
$245.8744723802442$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2, 2]$ |
$[2, 2, 2, 2, 2]$ |
$2$ |
$11$ |
$3587545408.3225102$ |
$10$ |
| 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) |
$[6]$ |
$[2, 2, 6]$ |
$2$ |
$11$ |
$15039383742.715563$ |
$10$ |
| 12.12.108...568.2 |
$x^{12} - 237 x^{10} - 112 x^{9} + 18711 x^{8} + 7056 x^{7} - 557895 x^{6} + 417312 x^{5} + 5918472 x^{4} - 13496224 x^{3} + 6677316 x^{2} + 2837856 x - 2065904$ |
$12$ |
(12, 0) |
$2^{12}\cdot 3^{18}\cdot 7^{8}\cdot 17^{9}$ |
$4$ |
$318.381087709$ |
$318.38108770918484$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[6]$ |
$[2, 2, 2, 2, 2, 2, 6]$ |
$2$ |
$11$ |
$974611109453.5791$ |
$6$ |
| 12.0.217...448.1 |
$x^{12} + 969 x^{10} + 273258 x^{8} + 23276349 x^{6} + 845064900 x^{4} + 13791459168 x^{2} + 82748755008$ |
$12$ |
(0, 6) |
$2^{12}\cdot 3^{6}\cdot 17^{9}\cdot 19^{10}$ |
$4$ |
$337.330270719$ |
$337.33027071889427$ |
✓ |
✓ |
? |
$C_{12}$ (as 12T1) |
$[2, 2, 2, 2, 97330]$ |
$[2, 2, 2, 2, 97330]$ |
$2$ |
$5$ |
$5500.247454160226$ |
$0$ |
| 12.12.590...648.1 |
$x^{12} - 441 x^{10} - 140 x^{9} + 70119 x^{8} + 8820 x^{7} - 4933565 x^{6} + 2963520 x^{5} + 154628859 x^{4} - 210307020 x^{3} - 1652173719 x^{2} + 1995879270 x + 5123870857$ |
$12$ |
(12, 0) |
$2^{12}\cdot 3^{16}\cdot 7^{10}\cdot 17^{9}$ |
$4$ |
$366.67113792$ |
$366.67113792039356$ |
|
✓ |
? |
$C_{12}$ (as 12T1) |
$[6]$ |
$[2, 2, 6]$ |
$2$ |
$11$ |
$49285832666.39797$ |
$10$ |
| 12.12.590...648.2 |
$x^{12} - 441 x^{10} - 112 x^{9} + 70119 x^{8} + 7056 x^{7} - 4936211 x^{6} + 2370816 x^{5} + 154267680 x^{4} - 168196224 x^{3} - 1702933260 x^{2} + 1604482656 x + 5225843728$ |
$12$ |
(12, 0) |
$2^{12}\cdot 3^{16}\cdot 7^{10}\cdot 17^{9}$ |
$4$ |
$366.67113792$ |
$366.67113792039356$ |
|
✓ |
|
$C_{12}$ (as 12T1) |
$[6]$ |
$[2, 2, 2, 2, 2, 2, 6]$ |
$2$ |
$11$ |
$1945205252090.1582$ |
$6$ |
