Genus 2 Curves Database

Igusa CM Invariants Database

Quartic CM Fields Database

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]

[511]

Class number 511 non-normal (D₄) quartic CM field invariants: 417 fields

K	Quartic invariants	Cl(O_K)	Igusa invariants	K^r	Reflex invariants	Cl(O_K^r)	Igusa invariants
1)	[5, 7166, 12445889]	C₅₁₁		401)	[12445889, 3583, 98000]	C₅₁₁
2)	[5, 7334, 12176809]	C₅₁₁		400)	[12176809, 3667, 317520]	C₅₁₁
3)	[5, 4598, 4870681]	C₅₁₁		385)	[4870681, 2299, 103680]	C₅₁₁
4)	[5, 5846, 8518009]	C₅₁₁		---)	[8518009, 2923, 6480]	C₁₅₃₃
5)	[5, 7766, 14513209]	C₅₁₁		406)	[14513209, 3883, 141120]	C₅₁₁
6)	[5, 8254, 14774209]	C₅₁₁		---)	[14774209, 4127, 564480]	C₆₆₄₃
7)	[5, 11734, 34094009]	C₅₁₁		416)	[34094009, 5867, 81920]	C₅₁₁
8)	[5, 9046, 20437049]	C₅₁₁		412)	[20437049, 4523, 5120]	C₅₁₁
9)	[5, 4622, 5237041]	C₅₁₁		---)	[5237041, 2311, 25920]	C₅₆₂₁
10)	[5, 6542, 9305521]	C₅₁₁		396)	[9305521, 3271, 348480]	C₅₁₁
11)	[5, 5078, 6444521]	C₅₁₁		390)	[6444521, 2539, 500]	C₅₁₁
12)	[5, 6814, 11452769]	C₅₁₁		---)	[11452769, 3407, 38720]	C₁₃₇₉₇
13)	[5, 6878, 11806241]	C₅₁₁		398)	[11806241, 3439, 5120]	C₅₁₁
14)	[5, 9766, 22275689]	C₅₁₁		413)	[22275689, 4883, 392000]	C₅₁₁
15)	[5, 6974, 12156289]	C₅₁₁		399)	[12156289, 3487, 720]	C₅₁₁
16)	[5, 4918, 5862361]	C₅₁₁		388)	[5862361, 2459, 46080]	C₅₁₁
17)	[5, 8734, 19069409]	C₅₁₁		409)	[19069409, 4367, 320]	C₅₁₁
18)	[5, 4918, 6014681]	C₅₁₁		389)	[6014681, 2459, 8000]	C₅₁₁
19)	[5, 6646, 9383449]	C₅₁₁		397)	[9383449, 3323, 414720]	C₅₁₁
20)	[5, 5253, 6840721]	C₅₁₁		393)	[6840721, 3671, 1658880]	C₅₁₁
21)	[8, 6302, 8116193]	C₅₁₁		395)	[8116193, 3151, 453152]	C₅₁₁
22)	[8, 9638, 22821353]	C₅₁₁		414)	[22821353, 4819, 100352]	C₅₁₁
23)	[8, 6110, 7235873]	C₅₁₁		---)	[7235873, 3055, 524288]	C₁₅₃₃
24)	[8, 3454, 2262529]	C₅₁₁		---)	[2262529, 1727, 180000]	C₂₅₅₅
25)	[8, 7622, 14467273]	C₅₁₁		405)	[14467273, 3811, 14112]	C₅₁₁
26)	[8, 4174, 4304369]	C₅₁₁		383)	[4304369, 2087, 12800]	C₅₁₁
27)	[8, 3902, 3511489]	C₅₁₁		379)	[3511489, 1951, 73728]	C₅₁₁
28)	[8, 3262, 1996609]	C₅₁₁		371)	[1996609, 1631, 165888]	C₅₁₁
29)	[8, 4030, 3986497]	C₅₁₁		382)	[3986497, 2015, 18432]	C₅₁₁
30)	[8, 3598, 3156401]	C₅₁₁		378)	[3156401, 1799, 20000]	C₅₁₁
31)	[8, 4046, 3705329]	C₅₁₁		380)	[3705329, 2023, 96800]	C₅₁₁
32)	[8, 8902, 19803209]	C₅₁₁		411)	[19803209, 4451, 2048]	C₅₁₁
33)	[8, 4238, 4396849]	C₅₁₁		384)	[4396849, 2119, 23328]	C₅₁₁
34)	[8, 7382, 13303481]	C₅₁₁		402)	[13303481, 3691, 80000]	C₅₁₁
35)	[8, 3518, 2374081]	C₅₁₁		373)	[2374081, 1759, 180000]	C₅₁₁
36)	[13, 2982, 2209769]	C₅₁₁		372)	[2209769, 1491, 3328]	C₅₁₁
37)	[13, 6638, 10409233]	C₅₁₁		---)	[10409233, 3319, 151632]	C₅₆₂₁
38)	[13, 4806, 4922441]	C₅₁₁		386)	[4922441, 2403, 212992]	C₅₁₁
39)	[13, 3438, 2914193]	C₅₁₁		377)	[2914193, 1719, 10192]	C₅₁₁
40)	[13, 9110, 18831097]	C₅₁₁		408)	[18831097, 4555, 479232]	C₅₁₁
41)	[13, 4422, 2638793]	C₅₁₁		374)	[2638793, 2211, 562432]	C₅₁₁
42)	[13, 3990, 3879353]	C₅₁₁		381)	[3879353, 1995, 25168]	C₅₁₁
43)	[13, 7718, 14412649]	C₅₁₁		404)	[14412649, 3859, 119808]	C₅₁₁
44)	[17, 11782, 34268681]	C₅₁₁		417)	[34268681, 5891, 108800]	C₅₁₁
45)	[17, 1118, 155809]	C₅₁₁		---)	[155809, 559, 39168]	C₁₅₃₃
46)	[17, 1174, 224617]	C₅₁₁		335)	[224617, 587, 29988]	C₅₁₁
47)	[29, 4798, 5218817]	C₅₁₁		387)	[5218817, 2399, 134096]	C₅₁₁
48)	[29, 2122, 890821]	C₅₁₁		363)	[890821, 1061, 58725]	C₅₁₁
49)	[37, 3702, 1001369]	C₅₁₁		364)	[1001369, 1851, 606208]	C₅₁₁
50)	[37, 6566, 5322217]	C₅₁₁		---)	[5322217, 3283, 1363968]	C₁₅₃₃
51)	[41, 8134, 13853513]	C₅₁₁		403)	[13853513, 4067, 671744]	C₅₁₁
52)	[41, 1267, 394916]	C₅₁₁		316)	[98729, 1727, 128576]	C₅₁₁
53)	[41, 5942, 7777241]	C₅₁₁		---)	[7777241, 2971, 262400]	C₇ x C₅₁₁
54)	[41, 662, 103657]	C₅₁₁		320)	[103657, 331, 1476]	C₅₁₁
55)	[41, 7894, 15135353]	C₅₁₁		407)	[15135353, 3947, 110864]	C₅₁₁
56)	[41, 5302, 6765401]	C₅₁₁		392)	[6765401, 2651, 65600]	C₅₁₁
57)	[41, 5846, 6631033]	C₅₁₁		391)	[6631033, 2923, 478224]	C₅₁₁
58)	[53, 2662, 1757993]	C₅₁₁		370)	[1757993, 1331, 3392]	C₅₁₁
59)	[53, 1586, 581149]	C₅₁₁		357)	[581149, 793, 11925]	C₅₁₁
60)	[53, 2798, 1740113]	C₅₁₁		---)	[1740113, 1399, 54272]	C₁₅₃₃
61)	[53, 1486, 538481]	C₅₁₁		352)	[538481, 743, 3392]	C₅₁₁
62)	[53, 2630, 1563017]	C₅₁₁		368)	[1563017, 1315, 41552]	C₅₁₁
63)	[61, 3534, 2731889]	C₅₁₁		376)	[2731889, 1767, 97600]	C₅₁₁
64)	[73, 3022, 1815921]	C₅₁₁		332)	[201769, 1511, 116800]	C₅₁₁
65)	[73, 1746, 404429]	C₅₁₁		347)	[404429, 873, 89425]	C₅₁₁
66)	[73, 10358, 26149273]	C₅₁₁		415)	[26149273, 5179, 168192]	C₅₁₁
67)	[89, 1682, 604397]	C₅₁₁		358)	[604397, 841, 25721]	C₅₁₁
68)	[97, 6854, 11241481]	C₅₁₁		---)	[11241481, 3427, 125712]	C₁₅₃₃
69)	[97, 1650, 615053]	C₅₁₁		360)	[615053, 825, 16393]	C₅₁₁
70)	[101, 3062, 1077017]	C₅₁₁		366)	[1077017, 1531, 316736]	C₅₁₁
71)	[113, 5446, 7385801]	C₅₁₁		394)	[7385801, 2723, 7232]	C₅₁₁
72)	[113, 803, 126596]	C₅₁₁		303)	[31649, 1606, 138425]	C₅₁₁
73)	[113, 8774, 19130057]	C₅₁₁		410)	[19130057, 4387, 28928]	C₅₁₁
74)	[113, 1114, 309797]	C₅₁₁		342)	[309797, 557, 113]	C₅₁₁
75)	[113, 1754, 569797]	C₅₁₁		---)	[569797, 877, 49833]	C₁₅₃₃
76)	[113, 3118, 87313]	C₅₁₁		312)	[87313, 1559, 585792]	C₅₁₁
77)	[137, 4870, 5894153]	C₅₁₁		---)	[5894153, 2435, 8768]	C₁₅₃₃
78)	[137, 2386, 1409549]	C₅₁₁		---)	[1409549, 1193, 3425]	C₁₅₃₃
79)	[137, 1754, 369637]	C₅₁₁		345)	[369637, 877, 99873]	C₅₁₁
80)	[137, 1399, 474196]	C₅₁₁		322)	[118549, 2798, 60417]	C₅₁₁
81)	[137, 1826, 675197]	C₅₁₁		---)	[675197, 913, 39593]	C₇ x C₅₁₁
82)	[149, 3086, 2295025]	C₅₁₁		---)	[91801, 1543, 21456]	C₁₅₃₃
83)	[157, 481, 49009]	C₅₁₁		308)	[49009, 962, 35325]	C₅₁₁
84)	[173, 1094, 288137]	C₅₁₁		341)	[288137, 547, 2768]	C₅₁₁
85)	[193, 3270, 2660873]	C₅₁₁		375)	[2660873, 1635, 3088]	C₅₁₁
86)	[197, 1594, 571381]	C₅₁₁		356)	[571381, 797, 15957]	C₅₁₁
87)	[197, 1570, 552397]	C₅₁₁		354)	[552397, 785, 15957]	C₅₁₁
88)	[269, 1010, 253949]	C₅₁₁		337)	[253949, 505, 269]	C₅₁₁
89)	[269, 2222, 390737]	C₅₁₁		346)	[390737, 1111, 210896]	C₅₁₁
90)	[293, 998, 173993]	C₅₁₁		330)	[173993, 499, 18752]	C₅₁₁
91)	[313, 366, 13457]	C₅₁₁		---)	[13457, 183, 5008]	C₆₆₄₃
92)	[317, 702, 102913]	C₅₁₁		319)	[102913, 351, 5072]	C₅₁₁
93)	[337, 2070, 726137]	C₅₁₁		362)	[726137, 1035, 86272]	C₅₁₁
94)	[353, 1487, 548468]	C₅₁₁		327)	[137117, 2974, 17297]	C₅₁₁
95)	[353, 1095, 253072]	C₅₁₁		287)	[15817, 2190, 186737]	C₅₁₁
96)	[373, 1901, 164817]	C₅₁₁		300)	[18313, 1859, 859392]	C₅₁₁
97)	[409, 2406, 1028393]	C₅₁₁		365)	[1028393, 1203, 104704]	C₅₁₁
98)	[409, 1026, 65213]	C₅₁₁		309)	[65213, 513, 49489]	C₅₁₁
99)	[421, 990, 218081]	C₅₁₁		334)	[218081, 495, 6736]	C₅₁₁
100)	[421, 1326, 271169]	C₅₁₁		---)	[271169, 663, 42100]	C₁₅₃₃
101)	[433, 2231, 667476]	C₅₁₁		---)	[18541, 1877, 97425]	C₁₅₃₃
102)	[433, 1455, 497972]	C₅₁₁		323)	[124493, 2910, 125137]	C₅₁₁
103)	[461, 926, 206993]	C₅₁₁		---)	[206993, 463, 1844]	C₁₅₃₃
104)	[509, 5638, 6774025]	C₅₁₁		339)	[270961, 2819, 293184]	C₅₁₁
105)	[509, 3838, 2509825]	C₅₁₁		317)	[100393, 1919, 293184]	C₅₁₁
106)	[541, 729, 126233]	C₅₁₁		324)	[126233, 1458, 26509]	C₅₁₁
107)	[577, 266, 15381]	C₅₁₁		---)	[1709, 133, 577]	C₇₃
108)	[577, 887, 58068]	C₅₁₁		---)	[1613, 765, 97513]	C₇₃
109)	[593, 2107, 38756]	C₅₁₁		246)	[9689, 1987, 287012]	C₅₁₁
110)	[593, 2630, 1691273]	C₅₁₁		369)	[1691273, 1315, 9488]	C₅₁₁
111)	[593, 3814, 562537]	C₅₁₁		355)	[562537, 1907, 768528]	C₅₁₁
112)	[617, 1327, 155024]	C₅₁₁		247)	[9689, 2263, 987200]	C₅₁₁
113)	[653, 1330, 439613]	C₅₁₁		348)	[439613, 665, 653]	C₅₁₁
114)	[661, 865, 159129]	C₅₁₁		296)	[17681, 1730, 111709]	C₅₁₁
115)	[661, 1506, 500909]	C₅₁₁		351)	[500909, 753, 16525]	C₅₁₁
116)	[677, 661, 100937]	C₅₁₁		318)	[100937, 1322, 33173]	C₅₁₁
117)	[773, 750, 91153]	C₅₁₁		314)	[91153, 375, 12368]	C₅₁₁
118)	[773, 1330, 191773]	C₅₁₁		331)	[191773, 665, 62613]	C₅₁₁
119)	[809, 2806, 1139993]	C₅₁₁		367)	[1139993, 1403, 207104]	C₅₁₁
120)	[853, 1562, 333589]	C₅₁₁		344)	[333589, 781, 69093]	C₅₁₁
121)	[877, 2393, 1220913]	C₅₁₁		279)	[15073, 3911, 3820212]	C₅₁₁
122)	[929, 554, 73013]	C₅₁₁		---)	[73013, 277, 929]	C₁₅₃₃
123)	[929, 1726, 610993]	C₅₁₁		359)	[610993, 863, 33444]	C₅₁₁
124)	[937, 758, 8713]	C₅₁₁		---)	[8713, 379, 33732]	C₁₅₃₃
125)	[1009, 1127, 42832]	C₅₁₁		---)	[2677, 1217, 364249]	C₂₁₉
126)	[1013, 734, 69857]	C₅₁₁		310)	[69857, 367, 16208]	C₅₁₁
127)	[1049, 3502, 2797457]	C₅₁₁		---)	[16553, 1751, 67136]	C₁₅₃₃
128)	[1061, 973, 215197]	C₅₁₁		333)	[215197, 1946, 85941]	C₅₁₁
129)	[1069, 1410, 287501]	C₅₁₁		340)	[287501, 705, 52381]	C₅₁₁
130)	[1237, 690, 114077]	C₅₁₁		321)	[114077, 345, 1237]	C₅₁₁
131)	[1289, 1542, 78841]	C₅₁₁		133)	[1609, 771, 128900]	C₅₁₁
132)	[1433, 307, 23204]	C₅₁₁		232)	[5801, 614, 1433]	C₅₁₁
133)	[1609, 771, 128900]	C₅₁₁		131)	[1289, 1542, 78841]	C₅₁₁
134)	[1613, 770, 141773]	C₅₁₁		328)	[141773, 385, 1613]	C₅₁₁
135)	[1721, 1406, 466673]	C₅₁₁		349)	[466673, 703, 6884]	C₅₁₁
136)	[1777, 890, 134053]	C₅₁₁		326)	[134053, 445, 15993]	C₅₁₁
137)	[1949, 518, 35897]	C₅₁₁		306)	[35897, 259, 7796]	C₅₁₁
138)	[2069, 2045, 258769]	C₅₁₁		---)	[5281, 2703, 1001396]	C₁₅₃₃
139)	[2129, 4514, 5085533]	C₅₁₁		295)	[17597, 2257, 2129]	C₅₁₁
140)	[2137, 3250, 170253]	C₅₁₁		301)	[18917, 1625, 617593]	C₅₁₁
141)	[2293, 1841, 62541]	C₅₁₁		---)	[6949, 3682, 3139117]	C₂₅₅₅
142)	[2297, 3786, 3574261]	C₅₁₁		248)	[9901, 1893, 2297]	C₅₁₁
143)	[2309, 6973, 19001]	C₅₁₁		302)	[19001, 4043, 1117556]	C₅₁₁
144)	[2357, 565, 32077]	C₅₁₁		304)	[32077, 1130, 190917]	C₅₁₁
145)	[2377, 1738, 289269]	C₅₁₁		305)	[32141, 869, 116473]	C₅₁₁
146)	[2389, 617, 89797]	C₅₁₁		313)	[89797, 1234, 21501]	C₅₁₁
147)	[2393, 3899, 3149056]	C₅₁₁		---)	[12301, 4989, 2012513]	C₂₅₅₅
148)	[2393, 2087, 269888]	C₅₁₁		196)	[4217, 2419, 1158212]	C₅₁₁
149)	[2437, 938, 132229]	C₅₁₁		325)	[132229, 469, 21933]	C₅₁₁
150)	[2473, 2707, 891604]	C₅₁₁		205)	[4549, 2677, 61825]	C₅₁₁
151)	[2473, 966, 193721]	C₅₁₁		---)	[1601, 483, 9892]	C₇ x C₅₁₁
152)	[2477, 4337, 15289]	C₅₁₁		283)	[15289, 4623, 3963200]	C₅₁₁
153)	[2609, 2135, 43124]	C₅₁₁		255)	[10781, 4270, 4385729]	C₅₁₁
154)	[2617, 3786, 2316821]	C₅₁₁		272)	[13709, 1893, 316657]	C₅₁₁
155)	[2633, 3791, 3586996]	C₅₁₁		299)	[18301, 7061, 4004793]	C₅₁₁
156)	[2693, 517, 12289]	C₅₁₁		261)	[12289, 1034, 218133]	C₅₁₁
157)	[2693, 3209, 1211089]	C₅₁₁		251)	[10009, 5367, 172352]	C₅₁₁
158)	[2741, 1917, 490441]	C₅₁₁		249)	[10009, 3834, 1713125]	C₅₁₁
159)	[2797, 1126, 137961]	C₅₁₁		284)	[15329, 563, 44752]	C₅₁₁
160)	[2953, 5994, 8686709]	C₅₁₁		292)	[16421, 2997, 73825]	C₅₁₁
161)	[2953, 1123, 279108]	C₅₁₁		---)	[7753, 2246, 144697]	C₁₅₃₃
162)	[2969, 3899, 58868]	C₅₁₁		278)	[14717, 6653, 6558521]	C₅₁₁
163)	[3001, 5050, 1081861]	C₅₁₁		243)	[8941, 2525, 1323441]	C₅₁₁
164)	[3049, 2683, 115812]	C₅₁₁		167)	[3217, 3079, 439056]	C₅₁₁
165)	[3061, 4593, 4630337]	C₅₁₁		241)	[8753, 3559, 783616]	C₅₁₁
166)	[3209, 3911, 3688400]	C₅₁₁		244)	[9221, 4109, 2005625]	C₅₁₁
167)	[3217, 3079, 439056]	C₅₁₁		164)	[3049, 2683, 115812]	C₅₁₁
168)	[3301, 4594, 3678525]	C₅₁₁		290)	[16349, 2297, 399421]	C₅₁₁
169)	[3329, 722, 10477]	C₅₁₁		253)	[10477, 361, 29961]	C₅₁₁
170)	[3389, 4230, 4419001]	C₅₁₁		260)	[12241, 2115, 13556]	C₅₁₁
171)	[3413, 5166, 1211089]	C₅₁₁		250)	[10009, 2583, 1365200]	C₅₁₁
172)	[3433, 1711, 586836]	C₅₁₁		289)	[16301, 3422, 580177]	C₅₁₁
173)	[3457, 563, 57636]	C₅₁₁		---)	[1601, 1126, 86425]	C₇ x C₅₁₁
174)	[3461, 1181, 347825]	C₅₁₁		273)	[13913, 2362, 3461]	C₅₁₁
175)	[3617, 910, 149153]	C₅₁₁		329)	[149153, 455, 14468]	C₅₁₁
176)	[3637, 4957, 5574681]	C₅₁₁		263)	[12641, 5403, 1454800]	C₅₁₁
177)	[3637, 4566, 3757289]	C₅₁₁		266)	[13001, 2283, 363700]	C₅₁₁
178)	[3677, 7558, 11398073]	C₅₁₁		271)	[13553, 3779, 720692]	C₅₁₁
179)	[3701, 5889, 8558125]	C₅₁₁		---)	[13693, 6389, 9626301]	C₇₆₆₅
180)	[3797, 5797, 2477033]	C₅₁₁		277)	[14657, 7535, 8034452]	C₅₁₁
181)	[3797, 542, 12689]	C₅₁₁		264)	[12689, 271, 15188]	C₅₁₁
182)	[3821, 4498, 1619101]	C₅₁₁		268)	[13381, 2249, 859725]	C₅₁₁
183)	[3833, 4842, 326389]	C₅₁₁		235)	[6661, 2421, 1383713]	C₅₁₁
184)	[3989, 1225, 15149]	C₅₁₁		281)	[15149, 2450, 1440029]	C₅₁₁
185)	[4049, 4474, 323525]	C₅₁₁		265)	[12941, 2237, 1170161]	C₅₁₁
186)	[4049, 4439, 3386548]	C₅₁₁		---)	[6997, 3293, 1785609]	C₁₅₃₃
187)	[4057, 1503, 198608]	C₅₁₁		262)	[12413, 3006, 1464577]	C₅₁₁
188)	[4133, 253, 14969]	C₅₁₁		---)	[14969, 506, 4133]	C₁₅₃₃
189)	[4133, 4293, 3961681]	C₅₁₁		238)	[7489, 3631, 148788]	C₅₁₁
190)	[4133, 6694, 4589609]	C₅₁₁		---)	[15881, 3347, 1653200]	C₁₅₃₃
191)	[4153, 3251, 2342196]	C₅₁₁		---)	[7229, 4889, 103825]	C₂₅₅₅
192)	[4157, 3566, 2580481]	C₅₁₁		242)	[8929, 1783, 149652]	C₅₁₁
193)	[4177, 2387, 546228]	C₅₁₁		282)	[15173, 4774, 3512857]	C₅₁₁
194)	[4201, 4251, 2197748]	C₅₁₁		257)	[11213, 5621, 2222329]	C₅₁₁
195)	[4201, 3782, 2500425]	C₅₁₁		256)	[11113, 1891, 268864]	C₅₁₁
196)	[4217, 2419, 1158212]	C₅₁₁		148)	[2393, 2087, 269888]	C₅₁₁
197)	[4253, 5029, 18701]	C₅₁₁		---)	[18701, 10058, 25216037]	C₁₅₃₃
198)	[4273, 6071, 8905536]	C₅₁₁		286)	[15461, 7881, 14874313]	C₅₁₁
199)	[4337, 3971, 3030356]	C₅₁₁		285)	[15461, 7942, 3647417]	C₅₁₁
200)	[4373, 6889, 9021037]	C₅₁₁		---)	[17053, 6105, 8085677]	C₁₅₃₃
201)	[4421, 6577, 8770625]	C₅₁₁		274)	[14033, 6811, 5110676]	C₅₁₁
202)	[4457, 5402, 6421829]	C₅₁₁		297)	[17789, 2701, 218393]	C₅₁₁
203)	[4513, 2863, 964944]	C₅₁₁		236)	[6701, 5726, 4336993]	C₅₁₁
204)	[4549, 3429, 427325]	C₅₁₁		293)	[17093, 6858, 10048741]	C₅₁₁
205)	[4549, 2677, 61825]	C₅₁₁		150)	[2473, 2707, 891604]	C₅₁₁
206)	[4549, 1066, 120325]	C₅₁₁		213)	[4813, 533, 40941]	C₅₁₁
207)	[4549, 2434, 7213]	C₅₁₁		237)	[7213, 1217, 368469]	C₅₁₁
208)	[4549, 5798, 3746025]	C₅₁₁		---)	[16649, 2899, 1164544]	C₁₅₃₃
209)	[4561, 2471, 1434100]	C₅₁₁		276)	[14341, 4942, 369441]	C₅₁₁
210)	[4657, 2155, 1150528]	C₅₁₁		298)	[17977, 4310, 41913]	C₅₁₁
211)	[4789, 5621, 6748353]	C₅₁₁		245)	[9257, 5931, 4903936]	C₅₁₁
212)	[4801, 5546, 6748533]	C₅₁₁		234)	[6197, 2773, 235249]	C₅₁₁
213)	[4813, 533, 40941]	C₅₁₁		206)	[4549, 1066, 120325]	C₅₁₁
214)	[4957, 1345, 94113]	C₅₁₁		---)	[10457, 2690, 1432573]	C₁₅₃₃
215)	[4957, 5814, 519449]	C₅₁₁		254)	[10601, 2907, 1982800]	C₅₁₁
216)	[4973, 2517, 1373713]	C₅₁₁		258)	[11353, 5034, 840437]	C₅₁₁
217)	[4973, 5274, 4546837]	C₅₁₁		---)	[15733, 2637, 601733]	C₁₅₃₃
218)	[5009, 859, 32948]	C₅₁₁		239)	[8237, 1718, 606089]	C₅₁₁
219)	[5077, 945, 8753]	C₅₁₁		240)	[8753, 1890, 858013]	C₅₁₁
220)	[5189, 1845, 849709]	C₅₁₁		294)	[17341, 3690, 5189]	C₅₁₁
221)	[5237, 3425, 1831577]	C₅₁₁		280)	[15137, 6850, 4404317]	C₅₁₁
222)	[5237, 2834, 1986941]	C₅₁₁		291)	[16421, 1417, 5237]	C₅₁₁
223)	[5309, 2593, 405425]	C₅₁₁		---)	[16217, 5186, 5101949]	C₇ x C₅₁₁
224)	[5381, 6542, 281825]	C₅₁₁		---)	[11273, 3271, 2604404]	C₂₅₅₅
225)	[5381, 7430, 13456841]	C₅₁₁		---)	[16001, 3715, 86096]	C₂₅₅₅
226)	[5393, 7055, 7092052]	C₅₁₁		---)	[14653, 5901, 7383017]	C₁₅₃₃
227)	[5413, 10170, 18040853]	C₅₁₁		---)	[18773, 5085, 1954093]	C₂₅₅₅
228)	[5501, 3725, 1586189]	C₅₁₁		267)	[13109, 7450, 7530869]	C₅₁₁
229)	[5669, 4469, 4878193]	C₅₁₁		270)	[13513, 8571, 362816]	C₅₁₁
230)	[5717, 9661, 2408081]	C₅₁₁		275)	[14249, 5351, 571700]	C₅₁₁
231)	[5717, 4525, 2716337]	C₅₁₁		288)	[16073, 9050, 9610277]	C₅₁₁
232)	[5801, 614, 1433]	C₅₁₁		132)	[1433, 307, 23204]	C₅₁₁
233)	[5897, 3338, 1629749]	C₅₁₁		269)	[13469, 1669, 288953]	C₅₁₁
234)	[6197, 2773, 235249]	C₅₁₁		212)	[4801, 5546, 6748533]	C₅₁₁
235)	[6661, 2421, 1383713]	C₅₁₁		183)	[3833, 4842, 326389]	C₅₁₁
236)	[6701, 5726, 4336993]	C₅₁₁		203)	[4513, 2863, 964944]	C₅₁₁
237)	[7213, 1217, 368469]	C₅₁₁		207)	[4549, 2434, 7213]	C₅₁₁
238)	[7489, 3631, 148788]	C₅₁₁		189)	[4133, 4293, 3961681]	C₅₁₁
239)	[8237, 1718, 606089]	C₅₁₁		218)	[5009, 859, 32948]	C₅₁₁
240)	[8753, 1890, 858013]	C₅₁₁		219)	[5077, 945, 8753]	C₅₁₁
241)	[8753, 3559, 783616]	C₅₁₁		165)	[3061, 4593, 4630337]	C₅₁₁
242)	[8929, 1783, 149652]	C₅₁₁		192)	[4157, 3566, 2580481]	C₅₁₁
243)	[8941, 2525, 1323441]	C₅₁₁		163)	[3001, 5050, 1081861]	C₅₁₁
244)	[9221, 4109, 2005625]	C₅₁₁		166)	[3209, 3911, 3688400]	C₅₁₁
245)	[9257, 5931, 4903936]	C₅₁₁		211)	[4789, 5621, 6748353]	C₅₁₁
246)	[9689, 1987, 287012]	C₅₁₁		109)	[593, 2107, 38756]	C₅₁₁
247)	[9689, 2263, 987200]	C₅₁₁		112)	[617, 1327, 155024]	C₅₁₁
248)	[9901, 1893, 2297]	C₅₁₁		142)	[2297, 3786, 3574261]	C₅₁₁
249)	[10009, 3834, 1713125]	C₅₁₁		158)	[2741, 1917, 490441]	C₅₁₁
250)	[10009, 2583, 1365200]	C₅₁₁		171)	[3413, 5166, 1211089]	C₅₁₁
251)	[10009, 5367, 172352]	C₅₁₁		157)	[2693, 3209, 1211089]	C₅₁₁
252)	[10313, 311, 976]	C₅₁₁		---)	[61, 622, 92817]	C₇₃
253)	[10477, 361, 29961]	C₅₁₁		169)	[3329, 722, 10477]	C₅₁₁
254)	[10601, 2907, 1982800]	C₅₁₁		215)	[4957, 5814, 519449]	C₅₁₁
255)	[10781, 4270, 4385729]	C₅₁₁		153)	[2609, 2135, 43124]	C₅₁₁
256)	[11113, 1891, 268864]	C₅₁₁		195)	[4201, 3782, 2500425]	C₅₁₁
257)	[11213, 5621, 2222329]	C₅₁₁		194)	[4201, 4251, 2197748]	C₅₁₁
258)	[11353, 5034, 840437]	C₅₁₁		216)	[4973, 2517, 1373713]	C₅₁₁
259)	[11621, 2089, 1018349]	C₅₁₁		---)	[461, 1285, 11621]	C₇₃
260)	[12241, 2115, 13556]	C₅₁₁		170)	[3389, 4230, 4419001]	C₅₁₁
261)	[12289, 1034, 218133]	C₅₁₁		156)	[2693, 517, 12289]	C₅₁₁
262)	[12413, 3006, 1464577]	C₅₁₁		187)	[4057, 1503, 198608]	C₅₁₁
263)	[12641, 5403, 1454800]	C₅₁₁		176)	[3637, 4957, 5574681]	C₅₁₁
264)	[12689, 271, 15188]	C₅₁₁		181)	[3797, 542, 12689]	C₅₁₁
265)	[12941, 2237, 1170161]	C₅₁₁		185)	[4049, 4474, 323525]	C₅₁₁
266)	[13001, 2283, 363700]	C₅₁₁		177)	[3637, 4566, 3757289]	C₅₁₁
267)	[13109, 7450, 7530869]	C₅₁₁		228)	[5501, 3725, 1586189]	C₅₁₁
268)	[13381, 2249, 859725]	C₅₁₁		182)	[3821, 4498, 1619101]	C₅₁₁
269)	[13469, 1669, 288953]	C₅₁₁		233)	[5897, 3338, 1629749]	C₅₁₁
270)	[13513, 8571, 362816]	C₅₁₁		229)	[5669, 4469, 4878193]	C₅₁₁
271)	[13553, 3779, 720692]	C₅₁₁		178)	[3677, 7558, 11398073]	C₅₁₁
272)	[13709, 1893, 316657]	C₅₁₁		154)	[2617, 3786, 2316821]	C₅₁₁
273)	[13913, 2362, 3461]	C₅₁₁		174)	[3461, 1181, 347825]	C₅₁₁
274)	[14033, 6811, 5110676]	C₅₁₁		201)	[4421, 6577, 8770625]	C₅₁₁
275)	[14249, 5351, 571700]	C₅₁₁		230)	[5717, 9661, 2408081]	C₅₁₁
276)	[14341, 4942, 369441]	C₅₁₁		209)	[4561, 2471, 1434100]	C₅₁₁
277)	[14657, 7535, 8034452]	C₅₁₁		180)	[3797, 5797, 2477033]	C₅₁₁
278)	[14717, 6653, 6558521]	C₅₁₁		162)	[2969, 3899, 58868]	C₅₁₁
279)	[15073, 3911, 3820212]	C₅₁₁		121)	[877, 2393, 1220913]	C₅₁₁
280)	[15137, 6850, 4404317]	C₅₁₁		221)	[5237, 3425, 1831577]	C₅₁₁
281)	[15149, 2450, 1440029]	C₅₁₁		184)	[3989, 1225, 15149]	C₅₁₁
282)	[15173, 4774, 3512857]	C₅₁₁		193)	[4177, 2387, 546228]	C₅₁₁
283)	[15289, 4623, 3963200]	C₅₁₁		152)	[2477, 4337, 15289]	C₅₁₁
284)	[15329, 563, 44752]	C₅₁₁		159)	[2797, 1126, 137961]	C₅₁₁
285)	[15461, 7942, 3647417]	C₅₁₁		199)	[4337, 3971, 3030356]	C₅₁₁
286)	[15461, 7881, 14874313]	C₅₁₁		198)	[4273, 6071, 8905536]	C₅₁₁
287)	[15817, 2190, 186737]	C₅₁₁		95)	[353, 1095, 253072]	C₅₁₁
288)	[16073, 9050, 9610277]	C₅₁₁		231)	[5717, 4525, 2716337]	C₅₁₁
289)	[16301, 3422, 580177]	C₅₁₁		172)	[3433, 1711, 586836]	C₅₁₁
290)	[16349, 2297, 399421]	C₅₁₁		168)	[3301, 4594, 3678525]	C₅₁₁
291)	[16421, 1417, 5237]	C₅₁₁		222)	[5237, 2834, 1986941]	C₅₁₁
292)	[16421, 2997, 73825]	C₅₁₁		160)	[2953, 5994, 8686709]	C₅₁₁
293)	[17093, 6858, 10048741]	C₅₁₁		204)	[4549, 3429, 427325]	C₅₁₁
294)	[17341, 3690, 5189]	C₅₁₁		220)	[5189, 1845, 849709]	C₅₁₁
295)	[17597, 2257, 2129]	C₅₁₁		139)	[2129, 4514, 5085533]	C₅₁₁
296)	[17681, 1730, 111709]	C₅₁₁		114)	[661, 865, 159129]	C₅₁₁
297)	[17789, 2701, 218393]	C₅₁₁		202)	[4457, 5402, 6421829]	C₅₁₁
298)	[17977, 4310, 41913]	C₅₁₁		210)	[4657, 2155, 1150528]	C₅₁₁
299)	[18301, 7061, 4004793]	C₅₁₁		155)	[2633, 3791, 3586996]	C₅₁₁
300)	[18313, 1859, 859392]	C₅₁₁		96)	[373, 1901, 164817]	C₅₁₁
301)	[18917, 1625, 617593]	C₅₁₁		140)	[2137, 3250, 170253]	C₅₁₁
302)	[19001, 4043, 1117556]	C₅₁₁		143)	[2309, 6973, 19001]	C₅₁₁
303)	[31649, 1606, 138425]	C₅₁₁		72)	[113, 803, 126596]	C₅₁₁
304)	[32077, 1130, 190917]	C₅₁₁		144)	[2357, 565, 32077]	C₅₁₁
305)	[32141, 869, 116473]	C₅₁₁		145)	[2377, 1738, 289269]	C₅₁₁
306)	[35897, 259, 7796]	C₅₁₁		137)	[1949, 518, 35897]	C₅₁₁
307)	[40009, 699, 112148]	C₅₁₁		---)	[53, 1398, 40009]	C₇₃
308)	[49009, 962, 35325]	C₅₁₁		83)	[157, 481, 49009]	C₅₁₁
309)	[65213, 513, 49489]	C₅₁₁		98)	[409, 1026, 65213]	C₅₁₁
310)	[69857, 367, 16208]	C₅₁₁		126)	[1013, 734, 69857]	C₅₁₁
311)	[84857, 363, 11728]	C₅₁₁		---)	[733, 726, 84857]	C₁₅₃₃
312)	[87313, 1559, 585792]	C₅₁₁		76)	[113, 3118, 87313]	C₅₁₁
313)	[89797, 1234, 21501]	C₅₁₁		146)	[2389, 617, 89797]	C₅₁₁
314)	[91153, 375, 12368]	C₅₁₁		117)	[773, 750, 91153]	C₅₁₁
315)	[96749, 393, 14425]	C₅₁₁		---)	[577, 786, 96749]	C₇ x C₅₁₁
316)	[98729, 1727, 128576]	C₅₁₁		52)	[41, 1267, 394916]	C₅₁₁
317)	[100393, 1919, 293184]	C₅₁₁		105)	[509, 3838, 2509825]	C₅₁₁
318)	[100937, 1322, 33173]	C₅₁₁		116)	[677, 661, 100937]	C₅₁₁
319)	[102913, 351, 5072]	C₅₁₁		92)	[317, 702, 102913]	C₅₁₁
320)	[103657, 331, 1476]	C₅₁₁		54)	[41, 662, 103657]	C₅₁₁
321)	[114077, 345, 1237]	C₅₁₁		130)	[1237, 690, 114077]	C₅₁₁
322)	[118549, 2798, 60417]	C₅₁₁		80)	[137, 1399, 474196]	C₅₁₁
323)	[124493, 2910, 125137]	C₅₁₁		102)	[433, 1455, 497972]	C₅₁₁
324)	[126233, 1458, 26509]	C₅₁₁		106)	[541, 729, 126233]	C₅₁₁
325)	[132229, 469, 21933]	C₅₁₁		149)	[2437, 938, 132229]	C₅₁₁
326)	[134053, 445, 15993]	C₅₁₁		136)	[1777, 890, 134053]	C₅₁₁
327)	[137117, 2974, 17297]	C₅₁₁		94)	[353, 1487, 548468]	C₅₁₁
328)	[141773, 385, 1613]	C₅₁₁		134)	[1613, 770, 141773]	C₅₁₁
329)	[149153, 455, 14468]	C₅₁₁		175)	[3617, 910, 149153]	C₅₁₁
330)	[173993, 499, 18752]	C₅₁₁		90)	[293, 998, 173993]	C₅₁₁
331)	[191773, 665, 62613]	C₅₁₁		118)	[773, 1330, 191773]	C₅₁₁
332)	[201769, 1511, 116800]	C₅₁₁		64)	[73, 3022, 1815921]	C₅₁₁
333)	[215197, 1946, 85941]	C₅₁₁		128)	[1061, 973, 215197]	C₅₁₁
334)	[218081, 495, 6736]	C₅₁₁		99)	[421, 990, 218081]	C₅₁₁
335)	[224617, 587, 29988]	C₅₁₁		46)	[17, 1174, 224617]	C₅₁₁
336)	[238141, 489, 245]	C₅₁₁		---)	[5, 978, 238141]	C₇₃
337)	[253949, 505, 269]	C₅₁₁		88)	[269, 1010, 253949]	C₅₁₁
338)	[268997, 2266, 207701]	C₅₁₁		---)	[1229, 1133, 268997]	C₁₅₃₃
339)	[270961, 2819, 293184]	C₅₁₁		104)	[509, 5638, 6774025]	C₅₁₁
340)	[287501, 705, 52381]	C₅₁₁		129)	[1069, 1410, 287501]	C₅₁₁
341)	[288137, 547, 2768]	C₅₁₁		84)	[173, 1094, 288137]	C₅₁₁
342)	[309797, 557, 113]	C₅₁₁		74)	[113, 1114, 309797]	C₅₁₁
343)	[324529, 1023, 180500]	C₅₁₁		---)	[5, 1169, 324529]	C₇₃
344)	[333589, 781, 69093]	C₅₁₁		120)	[853, 1562, 333589]	C₅₁₁
345)	[369637, 877, 99873]	C₅₁₁		79)	[137, 1754, 369637]	C₅₁₁
346)	[390737, 1111, 210896]	C₅₁₁		89)	[269, 2222, 390737]	C₅₁₁
347)	[404429, 873, 89425]	C₅₁₁		65)	[73, 1746, 404429]	C₅₁₁
348)	[439613, 665, 653]	C₅₁₁		113)	[653, 1330, 439613]	C₅₁₁
349)	[466673, 703, 6884]	C₅₁₁		135)	[1721, 1406, 466673]	C₅₁₁
350)	[485161, 697, 162]	C₅₁₁		---)	[8, 1394, 485161]	C₇₃
351)	[500909, 753, 16525]	C₅₁₁		115)	[661, 1506, 500909]	C₅₁₁
352)	[538481, 743, 3392]	C₅₁₁		61)	[53, 1486, 538481]	C₅₁₁
353)	[539129, 779, 16928]	C₅₁₁		---)	[8, 1558, 539129]	C₇₃
354)	[552397, 785, 15957]	C₅₁₁		87)	[197, 1570, 552397]	C₅₁₁
355)	[562537, 1907, 768528]	C₅₁₁		111)	[593, 3814, 562537]	C₅₁₁
356)	[571381, 797, 15957]	C₅₁₁		86)	[197, 1594, 571381]	C₅₁₁
357)	[581149, 793, 11925]	C₅₁₁		59)	[53, 1586, 581149]	C₅₁₁
358)	[604397, 841, 25721]	C₅₁₁		67)	[89, 1682, 604397]	C₅₁₁
359)	[610993, 863, 33444]	C₅₁₁		123)	[929, 1726, 610993]	C₅₁₁
360)	[615053, 825, 16393]	C₅₁₁		69)	[97, 1650, 615053]	C₅₁₁
361)	[649661, 1241, 222605]	C₅₁₁		---)	[5, 1613, 649661]	C₇₃
362)	[726137, 1035, 86272]	C₅₁₁		93)	[337, 2070, 726137]	C₅₁₁
363)	[890821, 1061, 58725]	C₅₁₁		48)	[29, 2122, 890821]	C₅₁₁
364)	[1001369, 1851, 606208]	C₅₁₁		49)	[37, 3702, 1001369]	C₅₁₁
365)	[1028393, 1203, 104704]	C₅₁₁		97)	[409, 2406, 1028393]	C₅₁₁
366)	[1077017, 1531, 316736]	C₅₁₁		70)	[101, 3062, 1077017]	C₅₁₁
367)	[1139993, 1403, 207104]	C₅₁₁		119)	[809, 2806, 1139993]	C₅₁₁
368)	[1563017, 1315, 41552]	C₅₁₁		62)	[53, 2630, 1563017]	C₅₁₁
369)	[1691273, 1315, 9488]	C₅₁₁		110)	[593, 2630, 1691273]	C₅₁₁
370)	[1757993, 1331, 3392]	C₅₁₁		58)	[53, 2662, 1757993]	C₅₁₁
371)	[1996609, 1631, 165888]	C₅₁₁		28)	[8, 3262, 1996609]	C₅₁₁
372)	[2209769, 1491, 3328]	C₅₁₁		36)	[13, 2982, 2209769]	C₅₁₁
373)	[2374081, 1759, 180000]	C₅₁₁		35)	[8, 3518, 2374081]	C₅₁₁
374)	[2638793, 2211, 562432]	C₅₁₁		41)	[13, 4422, 2638793]	C₅₁₁
375)	[2660873, 1635, 3088]	C₅₁₁		85)	[193, 3270, 2660873]	C₅₁₁
376)	[2731889, 1767, 97600]	C₅₁₁		63)	[61, 3534, 2731889]	C₅₁₁
377)	[2914193, 1719, 10192]	C₅₁₁		39)	[13, 3438, 2914193]	C₅₁₁
378)	[3156401, 1799, 20000]	C₅₁₁		30)	[8, 3598, 3156401]	C₅₁₁
379)	[3511489, 1951, 73728]	C₅₁₁		27)	[8, 3902, 3511489]	C₅₁₁
380)	[3705329, 2023, 96800]	C₅₁₁		31)	[8, 4046, 3705329]	C₅₁₁
381)	[3879353, 1995, 25168]	C₅₁₁		42)	[13, 3990, 3879353]	C₅₁₁
382)	[3986497, 2015, 18432]	C₅₁₁		29)	[8, 4030, 3986497]	C₅₁₁
383)	[4304369, 2087, 12800]	C₅₁₁		26)	[8, 4174, 4304369]	C₅₁₁
384)	[4396849, 2119, 23328]	C₅₁₁		33)	[8, 4238, 4396849]	C₅₁₁
385)	[4870681, 2299, 103680]	C₅₁₁		3)	[5, 4598, 4870681]	C₅₁₁
386)	[4922441, 2403, 212992]	C₅₁₁		38)	[13, 4806, 4922441]	C₅₁₁
387)	[5218817, 2399, 134096]	C₅₁₁		47)	[29, 4798, 5218817]	C₅₁₁
388)	[5862361, 2459, 46080]	C₅₁₁		16)	[5, 4918, 5862361]	C₅₁₁
389)	[6014681, 2459, 8000]	C₅₁₁		18)	[5, 4918, 6014681]	C₅₁₁
390)	[6444521, 2539, 500]	C₅₁₁		11)	[5, 5078, 6444521]	C₅₁₁
391)	[6631033, 2923, 478224]	C₅₁₁		57)	[41, 5846, 6631033]	C₅₁₁
392)	[6765401, 2651, 65600]	C₅₁₁		56)	[41, 5302, 6765401]	C₅₁₁
393)	[6840721, 3671, 1658880]	C₅₁₁		20)	[5, 5253, 6840721]	C₅₁₁
394)	[7385801, 2723, 7232]	C₅₁₁		71)	[113, 5446, 7385801]	C₅₁₁
395)	[8116193, 3151, 453152]	C₅₁₁		21)	[8, 6302, 8116193]	C₅₁₁
396)	[9305521, 3271, 348480]	C₅₁₁		10)	[5, 6542, 9305521]	C₅₁₁
397)	[9383449, 3323, 414720]	C₅₁₁		19)	[5, 6646, 9383449]	C₅₁₁
398)	[11806241, 3439, 5120]	C₅₁₁		13)	[5, 6878, 11806241]	C₅₁₁
399)	[12156289, 3487, 720]	C₅₁₁		15)	[5, 6974, 12156289]	C₅₁₁
400)	[12176809, 3667, 317520]	C₅₁₁		2)	[5, 7334, 12176809]	C₅₁₁
401)	[12445889, 3583, 98000]	C₅₁₁		1)	[5, 7166, 12445889]	C₅₁₁
402)	[13303481, 3691, 80000]	C₅₁₁		34)	[8, 7382, 13303481]	C₅₁₁
403)	[13853513, 4067, 671744]	C₅₁₁		51)	[41, 8134, 13853513]	C₅₁₁
404)	[14412649, 3859, 119808]	C₅₁₁		43)	[13, 7718, 14412649]	C₅₁₁
405)	[14467273, 3811, 14112]	C₅₁₁		25)	[8, 7622, 14467273]	C₅₁₁
406)	[14513209, 3883, 141120]	C₅₁₁		5)	[5, 7766, 14513209]	C₅₁₁
407)	[15135353, 3947, 110864]	C₅₁₁		55)	[41, 7894, 15135353]	C₅₁₁
408)	[18831097, 4555, 479232]	C₅₁₁		40)	[13, 9110, 18831097]	C₅₁₁
409)	[19069409, 4367, 320]	C₅₁₁		17)	[5, 8734, 19069409]	C₅₁₁
410)	[19130057, 4387, 28928]	C₅₁₁		73)	[113, 8774, 19130057]	C₅₁₁
411)	[19803209, 4451, 2048]	C₅₁₁		32)	[8, 8902, 19803209]	C₅₁₁
412)	[20437049, 4523, 5120]	C₅₁₁		8)	[5, 9046, 20437049]	C₅₁₁
413)	[22275689, 4883, 392000]	C₅₁₁		14)	[5, 9766, 22275689]	C₅₁₁
414)	[22821353, 4819, 100352]	C₅₁₁		22)	[8, 9638, 22821353]	C₅₁₁
415)	[26149273, 5179, 168192]	C₅₁₁		66)	[73, 10358, 26149273]	C₅₁₁
416)	[34094009, 5867, 81920]	C₅₁₁		7)	[5, 11734, 34094009]	C₅₁₁
417)	[34268681, 5891, 108800]	C₅₁₁		44)	[17, 11782, 34268681]	C₅₁₁