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 C781 non-normal (D4) quartic CM field invariants: 102 fields
K |
Quartic invariants |
Cl(OK) |
Igusa invariants |
Kr |
Reflex invariants |
Cl(OKr) |
Igusa invariants |
1) |
[5, 15094, 56565209] |
C781 |
|
102) |
[56565209, 7547, 98000] |
C781 |
2) |
[5, 13894, 46908809] |
C781 |
|
101) |
[46908809, 6947, 338000] |
C781 |
3) |
[5, 15094, 56907209] |
C781 |
|
---) |
[56907209, 7547, 12500] |
C2343 |
4) |
[5, 7953, 14990401] |
C781 |
|
98) |
[14990401, 4951, 2380500] |
C781 |
5) |
[5, 14974, 55855169] |
C781 |
|
---) |
[55855169, 7487, 50000] |
C3905 |
6) |
[5, 11686, 33725929] |
C781 |
|
99) |
[33725929, 5843, 103680] |
C781 |
7) |
[5, 12646, 37242329] |
C781 |
|
100) |
[37242329, 6323, 684500] |
C781 |
8) |
[5, 7142, 10574041] |
C781 |
|
97) |
[10574041, 3571, 544500] |
C781 |
9) |
[8, 5134, 6384689] |
C781 |
|
---) |
[6384689, 2567, 51200] |
C2343 |
10) |
[13, 2182, 1173433] |
C781 |
|
93) |
[1173433, 1091, 4212] |
C781 |
11) |
[13, 2734, 1801297] |
C781 |
|
94) |
[1801297, 1367, 16848] |
C781 |
12) |
[29, 5102, 6500177] |
C781 |
|
96) |
[6500177, 2551, 1856] |
C781 |
13) |
[41, 2206, 954209] |
C781 |
|
92) |
[954209, 1103, 65600] |
C781 |
14) |
[53, 4798, 4656193] |
C781 |
|
95) |
[4656193, 2399, 274752] |
C781 |
15) |
[173, 2822, 883721] |
C781 |
|
---) |
[883721, 1411, 276800] |
C5467 |
16) |
[241, 1342, 311425] |
C781 |
|
73) |
[12457, 671, 34704] |
C781 |
17) |
[241, 867, 137252] |
C781 |
|
87) |
[34313, 1734, 202681] |
C781 |
18) |
[317, 1678, 521329] |
C781 |
|
---) |
[521329, 839, 45648] |
C2343 |
19) |
[701, 1306, 401173] |
C781 |
|
91) |
[401173, 653, 6309] |
C781 |
20) |
[709, 2281, 839713] |
C781 |
|
85) |
[17137, 2671, 819604] |
C781 |
21) |
[769, 787, 14692] |
C781 |
|
41) |
[3673, 1574, 560601] |
C781 |
22) |
[821, 1118, 259937] |
C781 |
|
89) |
[259937, 559, 13136] |
C781 |
23) |
[881, 1438, 291425] |
C781 |
|
71) |
[11657, 719, 56384] |
C781 |
24) |
[1049, 1550, 533489] |
C781 |
|
---) |
[4409, 775, 16784] |
C7029 |
25) |
[1049, 806, 11353] |
C781 |
|
69) |
[11353, 403, 37764] |
C781 |
26) |
[1109, 1177, 299477] |
C781 |
|
90) |
[299477, 2354, 187421] |
C781 |
27) |
[1409, 3886, 1520849] |
C781 |
|
75) |
[12569, 1943, 563600] |
C781 |
28) |
[2129, 4731, 1750084] |
C781 |
|
65) |
[8929, 2391, 34064] |
C781 |
29) |
[2161, 1879, 838900] |
C781 |
|
63) |
[8389, 3758, 175041] |
C781 |
30) |
[2273, 331, 22276] |
C781 |
|
55) |
[5569, 662, 20457] |
C781 |
31) |
[2441, 3686, 2420249] |
C781 |
|
80) |
[14321, 1843, 244100] |
C781 |
32) |
[2441, 2767, 1469200] |
C781 |
|
40) |
[3673, 1627, 87876] |
C781 |
33) |
[2473, 1231, 106192] |
C781 |
|
---) |
[6637, 2462, 1090593] |
C2343 |
34) |
[2753, 3895, 125072] |
C781 |
|
---) |
[7817, 3115, 1861028] |
C3905 |
35) |
[2801, 6259, 1474100] |
C781 |
|
81) |
[14741, 3337, 2691761] |
C781 |
36) |
[3089, 4031, 4024400] |
C781 |
|
68) |
[10061, 4817, 4228841] |
C781 |
37) |
[3517, 734, 78417] |
C781 |
|
---) |
[8713, 367, 14068] |
C2343 |
38) |
[3617, 5275, 6803588] |
C781 |
|
79) |
[14057, 4867, 14468] |
C781 |
39) |
[3637, 2333, 1316169] |
C781 |
|
84) |
[16249, 4666, 178213] |
C781 |
40) |
[3673, 1627, 87876] |
C781 |
|
32) |
[2441, 2767, 1469200] |
C781 |
41) |
[3673, 1574, 560601] |
C781 |
|
21) |
[769, 787, 14692] |
C781 |
42) |
[4289, 5274, 6113125] |
C781 |
|
67) |
[9781, 2637, 210161] |
C781 |
43) |
[4337, 1659, 296656] |
C781 |
|
---) |
[18541, 3318, 1565657] |
C2343 |
44) |
[4517, 417, 15241] |
C781 |
|
82) |
[15241, 834, 112925] |
C781 |
45) |
[4817, 5503, 55028] |
C781 |
|
78) |
[13757, 6025, 8906633] |
C781 |
46) |
[4877, 2806, 17609] |
C781 |
|
---) |
[17609, 1403, 487700] |
C2343 |
47) |
[4957, 2313, 562961] |
C781 |
|
70) |
[11489, 4626, 3098125] |
C781 |
48) |
[4969, 3643, 573732] |
C781 |
|
83) |
[15937, 7286, 10976521] |
C781 |
49) |
[5113, 5183, 5150016] |
C781 |
|
66) |
[8941, 4417, 1477657] |
C781 |
50) |
[5413, 237, 12689] |
C781 |
|
77) |
[12689, 474, 5413] |
C781 |
51) |
[5441, 7443, 4478800] |
C781 |
|
---) |
[11197, 4993, 48969] |
C2343 |
52) |
[5449, 2447, 503872] |
C781 |
|
---) |
[7873, 4894, 3972321] |
C7029 |
53) |
[5557, 573, 14009] |
C781 |
|
---) |
[14009, 1146, 272293] |
C11 x C781 |
54) |
[5569, 4439, 2585808] |
C781 |
|
---) |
[17957, 8878, 9361489] |
C5467 |
55) |
[5569, 662, 20457] |
C781 |
|
30) |
[2273, 331, 22276] |
C781 |
56) |
[5573, 5517, 4531633] |
C781 |
|
74) |
[12553, 8487, 17476928] |
C781 |
57) |
[5573, 725, 18553] |
C781 |
|
86) |
[18553, 1450, 451413] |
C781 |
58) |
[5701, 2265, 1041689] |
C781 |
|
64) |
[8609, 4530, 963469] |
C781 |
59) |
[5717, 7049, 2095769] |
C781 |
|
---) |
[12401, 5051, 5854208] |
C2343 |
60) |
[5749, 4057, 376525] |
C781 |
|
---) |
[15061, 8114, 14953149] |
C2343 |
61) |
[5953, 4847, 2585808] |
C781 |
|
---) |
[17957, 9694, 13150177] |
C5467 |
62) |
[5981, 3310, 2643329] |
C781 |
|
---) |
[15641, 1655, 23924] |
C2343 |
63) |
[8389, 3758, 175041] |
C781 |
|
29) |
[2161, 1879, 838900] |
C781 |
64) |
[8609, 4530, 963469] |
C781 |
|
58) |
[5701, 2265, 1041689] |
C781 |
65) |
[8929, 2391, 34064] |
C781 |
|
28) |
[2129, 4731, 1750084] |
C781 |
66) |
[8941, 4417, 1477657] |
C781 |
|
49) |
[5113, 5183, 5150016] |
C781 |
67) |
[9781, 2637, 210161] |
C781 |
|
42) |
[4289, 5274, 6113125] |
C781 |
68) |
[10061, 4817, 4228841] |
C781 |
|
36) |
[3089, 4031, 4024400] |
C781 |
69) |
[11353, 403, 37764] |
C781 |
|
25) |
[1049, 806, 11353] |
C781 |
70) |
[11489, 4626, 3098125] |
C781 |
|
47) |
[4957, 2313, 562961] |
C781 |
71) |
[11657, 719, 56384] |
C781 |
|
23) |
[881, 1438, 291425] |
C781 |
72) |
[12281, 482, 8957] |
C781 |
|
---) |
[53, 241, 12281] |
C71 |
73) |
[12457, 671, 34704] |
C781 |
|
16) |
[241, 1342, 311425] |
C781 |
74) |
[12553, 8487, 17476928] |
C781 |
|
56) |
[5573, 5517, 4531633] |
C781 |
75) |
[12569, 1943, 563600] |
C781 |
|
27) |
[1409, 3886, 1520849] |
C781 |
76) |
[12589, 682, 65925] |
C781 |
|
---) |
[293, 341, 12589] |
C71 |
77) |
[12689, 474, 5413] |
C781 |
|
50) |
[5413, 237, 12689] |
C781 |
78) |
[13757, 6025, 8906633] |
C781 |
|
45) |
[4817, 5503, 55028] |
C781 |
79) |
[14057, 4867, 14468] |
C781 |
|
38) |
[3617, 5275, 6803588] |
C781 |
80) |
[14321, 1843, 244100] |
C781 |
|
31) |
[2441, 3686, 2420249] |
C781 |
81) |
[14741, 3337, 2691761] |
C781 |
|
35) |
[2801, 6259, 1474100] |
C781 |
82) |
[15241, 834, 112925] |
C781 |
|
44) |
[4517, 417, 15241] |
C781 |
83) |
[15937, 7286, 10976521] |
C781 |
|
48) |
[4969, 3643, 573732] |
C781 |
84) |
[16249, 4666, 178213] |
C781 |
|
39) |
[3637, 2333, 1316169] |
C781 |
85) |
[17137, 2671, 819604] |
C781 |
|
20) |
[709, 2281, 839713] |
C781 |
86) |
[18553, 1450, 451413] |
C781 |
|
57) |
[5573, 725, 18553] |
C781 |
87) |
[34313, 1734, 202681] |
C781 |
|
17) |
[241, 867, 137252] |
C781 |
88) |
[60293, 1966, 1601] |
C781 |
|
---) |
[1601, 983, 241172] |
C5467 |
89) |
[259937, 559, 13136] |
C781 |
|
22) |
[821, 1118, 259937] |
C781 |
90) |
[299477, 2354, 187421] |
C781 |
|
26) |
[1109, 1177, 299477] |
C781 |
91) |
[401173, 653, 6309] |
C781 |
|
19) |
[701, 1306, 401173] |
C781 |
92) |
[954209, 1103, 65600] |
C781 |
|
13) |
[41, 2206, 954209] |
C781 |
93) |
[1173433, 1091, 4212] |
C781 |
|
10) |
[13, 2182, 1173433] |
C781 |
94) |
[1801297, 1367, 16848] |
C781 |
|
11) |
[13, 2734, 1801297] |
C781 |
95) |
[4656193, 2399, 274752] |
C781 |
|
14) |
[53, 4798, 4656193] |
C781 |
96) |
[6500177, 2551, 1856] |
C781 |
|
12) |
[29, 5102, 6500177] |
C781 |
97) |
[10574041, 3571, 544500] |
C781 |
|
8) |
[5, 7142, 10574041] |
C781 |
98) |
[14990401, 4951, 2380500] |
C781 |
|
4) |
[5, 7953, 14990401] |
C781 |
99) |
[33725929, 5843, 103680] |
C781 |
|
6) |
[5, 11686, 33725929] |
C781 |
100) |
[37242329, 6323, 684500] |
C781 |
|
7) |
[5, 12646, 37242329] |
C781 |
101) |
[46908809, 6947, 338000] |
C781 |
|
2) |
[5, 13894, 46908809] |
C781 |
102) |
[56565209, 7547, 98000] |
C781 |
|
1) |
[5, 15094, 56565209] |
C781 |