A quartic CM field field K is represented by invariants [D,A,B], where
K = Q[x]/(x4+Ax2+B), and D is the discriminant of the totally real
quadratic subfield (hence A2-4B = m2D for some m).
Class number:
[Non-normal]
[Cyclic]
Class group C815 non-normal (D4) quartic CM field invariants: 115 fields
K |
Quartic invariants |
Cl(OK) |
Igusa invariants |
Kr |
Reflex invariants |
Cl(OKr) |
Igusa invariants |
1) |
[8, 6398, 10231553] |
C815 |
|
115) |
[10231553, 3199, 512] |
C815 |
2) |
[8, 5054, 6382529] |
C815 |
|
114) |
[6382529, 2527, 800] |
C815 |
3) |
[13, 6366, 10128161] |
C815 |
|
---) |
[10128161, 3183, 832] |
C5 x C815 |
4) |
[17, 2158, 1159889] |
C815 |
|
104) |
[1159889, 1079, 1088] |
C815 |
5) |
[41, 966, 232633] |
C815 |
|
95) |
[232633, 483, 164] |
C815 |
6) |
[41, 2894, 1044209] |
C815 |
|
---) |
[1044209, 1447, 262400] |
C5 x C8965 |
7) |
[61, 3174, 2502953] |
C815 |
|
113) |
[2502953, 1587, 3904] |
C815 |
8) |
[101, 3254, 2233433] |
C815 |
|
112) |
[2233433, 1627, 103424] |
C815 |
9) |
[137, 2351, 775952] |
C815 |
|
90) |
[48497, 1607, 633488] |
C815 |
10) |
[149, 3206, 1415753] |
C815 |
|
106) |
[1415753, 1603, 288464] |
C815 |
11) |
[157, 1782, 753689] |
C815 |
|
102) |
[753689, 891, 10048] |
C815 |
12) |
[157, 1230, 338033] |
C815 |
|
98) |
[338033, 615, 10048] |
C815 |
13) |
[173, 2510, 1032497] |
C815 |
|
103) |
[1032497, 1255, 135632] |
C815 |
14) |
[233, 4150, 3574937] |
C815 |
|
---) |
[3574937, 2075, 182672] |
C2445 |
15) |
[241, 1278, 22721] |
C815 |
|
---) |
[22721, 639, 96400] |
C2445 |
16) |
[281, 2638, 1667825] |
C815 |
|
92) |
[66713, 1319, 17984] |
C815 |
17) |
[401, 346, 15493] |
C815 |
|
---) |
[15493, 173, 3609] |
C163 |
18) |
[401, 2054, 413129] |
C815 |
|
---) |
[413129, 1027, 160400] |
C163 |
19) |
[401, 775, 142036] |
C815 |
|
87) |
[35509, 1550, 32481] |
C815 |
20) |
[409, 1074, 286733] |
C815 |
|
96) |
[286733, 537, 409] |
C815 |
21) |
[461, 1462, 504857] |
C815 |
|
100) |
[504857, 731, 7376] |
C815 |
22) |
[557, 1665, 692917] |
C815 |
|
101) |
[692917, 3330, 557] |
C815 |
23) |
[757, 822, 120473] |
C815 |
|
93) |
[120473, 411, 12112] |
C815 |
24) |
[881, 1039, 259088] |
C815 |
|
79) |
[16193, 2078, 43169] |
C815 |
25) |
[1109, 1245, 307381] |
C815 |
|
97) |
[307381, 2490, 320501] |
C815 |
26) |
[1429, 741, 34025] |
C815 |
|
---) |
[1361, 1482, 412981] |
C163 |
27) |
[1429, 1329, 3929] |
C815 |
|
---) |
[3929, 2179, 966004] |
C163 |
28) |
[2153, 1339, 327124] |
C815 |
|
---) |
[1669, 1537, 19377] |
C163 |
29) |
[2153, 551, 10772] |
C815 |
|
---) |
[2693, 1102, 260513] |
C163 |
30) |
[2297, 3823, 249104] |
C815 |
|
77) |
[15569, 5347, 5742500] |
C815 |
31) |
[2377, 1675, 529668] |
C815 |
|
73) |
[14713, 3350, 686953] |
C815 |
32) |
[2393, 1190, 9433] |
C815 |
|
63) |
[9433, 595, 86148] |
C815 |
33) |
[2753, 1699, 638372] |
C815 |
|
38) |
[3257, 3398, 333113] |
C815 |
34) |
[3089, 1346, 341725] |
C815 |
|
71) |
[13669, 673, 27801] |
C815 |
35) |
[3169, 5047, 1170100] |
C815 |
|
66) |
[11701, 5317, 3882025] |
C815 |
36) |
[3217, 2578, 619213] |
C815 |
|
70) |
[12637, 1289, 260577] |
C815 |
37) |
[3253, 649, 84969] |
C815 |
|
---) |
[1049, 1298, 81325] |
C163 |
38) |
[3257, 3398, 333113] |
C815 |
|
33) |
[2753, 1699, 638372] |
C815 |
39) |
[3313, 515, 58852] |
C815 |
|
74) |
[14713, 1030, 29817] |
C815 |
40) |
[3449, 3518, 1107457] |
C815 |
|
58) |
[6553, 1759, 496656] |
C815 |
41) |
[3593, 4055, 4102672] |
C815 |
|
55) |
[5233, 2439, 229952] |
C815 |
42) |
[4013, 1357, 17929] |
C815 |
|
---) |
[17929, 2714, 1769733] |
C2445 |
43) |
[4021, 7030, 3090841] |
C815 |
|
82) |
[18289, 3515, 2316096] |
C815 |
44) |
[4241, 3123, 2411776] |
C815 |
|
62) |
[9421, 6246, 106025] |
C815 |
45) |
[4297, 2107, 77508] |
C815 |
|
---) |
[2153, 2895, 1100032] |
C5 x C815 |
46) |
[4441, 2402, 3517] |
C815 |
|
---) |
[3517, 1201, 359721] |
C163 |
47) |
[4801, 5543, 4799412] |
C815 |
|
75) |
[14813, 8529, 2539729] |
C815 |
48) |
[4813, 2161, 896749] |
C815 |
|
83) |
[18301, 4322, 1082925] |
C815 |
49) |
[4861, 7257, 273425] |
C815 |
|
65) |
[10937, 3663, 3286036] |
C815 |
50) |
[4877, 9697, 21653473] |
C815 |
|
78) |
[15817, 5215, 6320592] |
C815 |
51) |
[4909, 1133, 113517] |
C815 |
|
69) |
[12613, 2266, 829621] |
C815 |
52) |
[4937, 3962, 2324773] |
C815 |
|
---) |
[19213, 1981, 399897] |
C2445 |
53) |
[4957, 6054, 7179929] |
C815 |
|
86) |
[19889, 3027, 495700] |
C815 |
54) |
[5101, 6737, 1245537] |
C815 |
|
---) |
[15377, 5823, 7365844] |
C10595 |
55) |
[5233, 2439, 229952] |
C815 |
|
41) |
[3593, 4055, 4102672] |
C815 |
56) |
[5693, 8849, 2040337] |
C815 |
|
68) |
[12073, 5243, 204948] |
C815 |
57) |
[5701, 809, 127989] |
C815 |
|
72) |
[14221, 1618, 142525] |
C815 |
58) |
[6553, 1759, 496656] |
C815 |
|
40) |
[3449, 3518, 1107457] |
C815 |
59) |
[6949, 5570, 5504749] |
C815 |
|
---) |
[4021, 2785, 562869] |
C163 |
60) |
[6949, 441, 5189] |
C815 |
|
---) |
[5189, 882, 173725] |
C163 |
61) |
[9181, 2797, 25497] |
C815 |
|
---) |
[2833, 4651, 5288256] |
C163 |
62) |
[9421, 6246, 106025] |
C815 |
|
44) |
[4241, 3123, 2411776] |
C815 |
63) |
[9433, 595, 86148] |
C815 |
|
32) |
[2393, 1190, 9433] |
C815 |
64) |
[9829, 2773, 1212237] |
C815 |
|
---) |
[797, 2553, 1189309] |
C163 |
65) |
[10937, 3663, 3286036] |
C815 |
|
49) |
[4861, 7257, 273425] |
C815 |
66) |
[11701, 5317, 3882025] |
C815 |
|
35) |
[3169, 5047, 1170100] |
C815 |
67) |
[12041, 2099, 424144] |
C815 |
|
---) |
[541, 1649, 108369] |
C163 |
68) |
[12073, 5243, 204948] |
C815 |
|
56) |
[5693, 8849, 2040337] |
C815 |
69) |
[12613, 2266, 829621] |
C815 |
|
51) |
[4909, 1133, 113517] |
C815 |
70) |
[12637, 1289, 260577] |
C815 |
|
36) |
[3217, 2578, 619213] |
C815 |
71) |
[13669, 673, 27801] |
C815 |
|
34) |
[3089, 1346, 341725] |
C815 |
72) |
[14221, 1618, 142525] |
C815 |
|
57) |
[5701, 809, 127989] |
C815 |
73) |
[14713, 3350, 686953] |
C815 |
|
31) |
[2377, 1675, 529668] |
C815 |
74) |
[14713, 1030, 29817] |
C815 |
|
39) |
[3313, 515, 58852] |
C815 |
75) |
[14813, 8529, 2539729] |
C815 |
|
47) |
[4801, 5543, 4799412] |
C815 |
76) |
[15473, 1610, 586133] |
C815 |
|
---) |
[317, 805, 15473] |
C163 |
77) |
[15569, 5347, 5742500] |
C815 |
|
30) |
[2297, 3823, 249104] |
C815 |
78) |
[15817, 5215, 6320592] |
C815 |
|
50) |
[4877, 9697, 21653473] |
C815 |
79) |
[16193, 2078, 43169] |
C815 |
|
24) |
[881, 1039, 259088] |
C815 |
80) |
[17033, 2234, 1179557] |
C815 |
|
---) |
[317, 1117, 17033] |
C163 |
81) |
[18253, 1574, 327321] |
C815 |
|
---) |
[449, 787, 73012] |
C163 |
82) |
[18289, 3515, 2316096] |
C815 |
|
43) |
[4021, 7030, 3090841] |
C815 |
83) |
[18301, 4322, 1082925] |
C815 |
|
48) |
[4813, 2161, 896749] |
C815 |
84) |
[18353, 6675, 2655232] |
C815 |
|
---) |
[2593, 3571, 2642832] |
C163 |
85) |
[18773, 2017, 223913] |
C815 |
|
---) |
[233, 1967, 300368] |
C163 |
86) |
[19889, 3027, 495700] |
C815 |
|
53) |
[4957, 6054, 7179929] |
C815 |
87) |
[35509, 1550, 32481] |
C815 |
|
19) |
[401, 775, 142036] |
C815 |
88) |
[44741, 937, 118825] |
C815 |
|
---) |
[97, 1874, 402669] |
C163 |
89) |
[45533, 217, 389] |
C815 |
|
---) |
[389, 434, 45533] |
C163 |
90) |
[48497, 1607, 633488] |
C815 |
|
9) |
[137, 2351, 775952] |
C815 |
91) |
[53437, 313, 11133] |
C815 |
|
---) |
[1237, 626, 53437] |
C163 |
92) |
[66713, 1319, 17984] |
C815 |
|
16) |
[281, 2638, 1667825] |
C815 |
93) |
[120473, 411, 12112] |
C815 |
|
23) |
[757, 822, 120473] |
C815 |
94) |
[180137, 467, 9488] |
C815 |
|
---) |
[593, 934, 180137] |
C163 |
95) |
[232633, 483, 164] |
C815 |
|
5) |
[41, 966, 232633] |
C815 |
96) |
[286733, 537, 409] |
C815 |
|
20) |
[409, 1074, 286733] |
C815 |
97) |
[307381, 2490, 320501] |
C815 |
|
25) |
[1109, 1245, 307381] |
C815 |
98) |
[338033, 615, 10048] |
C815 |
|
12) |
[157, 1230, 338033] |
C815 |
99) |
[498521, 2139, 1019200] |
C815 |
|
---) |
[13, 1689, 498521] |
C163 |
100) |
[504857, 731, 7376] |
C815 |
|
21) |
[461, 1462, 504857] |
C815 |
101) |
[692917, 3330, 557] |
C815 |
|
22) |
[557, 1665, 692917] |
C815 |
102) |
[753689, 891, 10048] |
C815 |
|
11) |
[157, 1782, 753689] |
C815 |
103) |
[1032497, 1255, 135632] |
C815 |
|
13) |
[173, 2510, 1032497] |
C815 |
104) |
[1159889, 1079, 1088] |
C815 |
|
4) |
[17, 2158, 1159889] |
C815 |
105) |
[1393681, 2167, 825552] |
C815 |
|
---) |
[13, 4181, 1393681] |
C163 |
106) |
[1415753, 1603, 288464] |
C815 |
|
10) |
[149, 3206, 1415753] |
C815 |
107) |
[1458521, 1243, 21632] |
C815 |
|
---) |
[8, 2486, 1458521] |
C163 |
108) |
[1461553, 3947, 606208] |
C815 |
|
---) |
[37, 7894, 13153977] |
C163 |
109) |
[1551049, 1507, 180000] |
C815 |
|
---) |
[8, 3014, 1551049] |
C163 |
110) |
[1551289, 1249, 2178] |
C815 |
|
---) |
[8, 2498, 1551289] |
C163 |
111) |
[1749941, 1325, 1421] |
C815 |
|
---) |
[29, 2650, 1749941] |
C163 |
112) |
[2233433, 1627, 103424] |
C815 |
|
8) |
[101, 3254, 2233433] |
C815 |
113) |
[2502953, 1587, 3904] |
C815 |
|
7) |
[61, 3174, 2502953] |
C815 |
114) |
[6382529, 2527, 800] |
C815 |
|
2) |
[8, 5054, 6382529] |
C815 |
115) |
[10231553, 3199, 512] |
C815 |
|
1) |
[8, 6398, 10231553] |
C815 |