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]

[539]

Class number 539 non-normal (D₄) quartic CM field invariants: 317 fields

K	Quartic invariants	Cl(O_K)	Igusa invariants	K^r	Reflex invariants	Cl(O_K^r)	Igusa invariants
1)	[5, 7582, 14289761]	C₅₃₉		308)	[14289761, 3791, 20480]	C₅₃₉
2)	[5, 6574, 10706369]	C₅₃₉		304)	[10706369, 3287, 24500]	C₅₃₉
3)	[5, 8446, 17807809]	C₅₃₉		313)	[17807809, 4223, 6480]	C₅₃₉
4)	[5, 12646, 39832409]	C₅₃₉		---)	[39832409, 6323, 36980]	C₇ x C₅₃₉
5)	[5, 8294, 16782889]	C₅₃₉		312)	[16782889, 4147, 103680]	C₅₃₉
6)	[5, 8126, 16307969]	C₅₃₉		311)	[16307969, 4063, 50000]	C₅₃₉
7)	[5, 6413, 9635441]	C₅₃₉		302)	[9635441, 3911, 1415120]	C₅₃₉
8)	[5, 10246, 25994249]	C₅₃₉		317)	[25994249, 5123, 62720]	C₅₃₉
9)	[5, 9574, 22894889]	C₅₃₉		---)	[22894889, 4787, 5120]	C₂₆₉₅
10)	[5, 6653, 9838001]	C₅₃₉		---)	[9838001, 3751, 1058000]	C₁₆₁₇
11)	[5, 9566, 22869089]	C₅₃₉		---)	[22869089, 4783, 2000]	C₄₈₅₁
12)	[5, 9406, 20436209]	C₅₃₉		---)	[20436209, 4703, 420500]	C₁₆₁₇
13)	[5, 10054, 23702729]	C₅₃₉		316)	[23702729, 5027, 392000]	C₅₃₉
14)	[5, 9854, 22616449]	C₅₃₉		315)	[22616449, 4927, 414720]	C₅₃₉
15)	[5, 6158, 9325361]	C₅₃₉		300)	[9325361, 3079, 38720]	C₅₃₉
16)	[5, 8206, 16097329]	C₅₃₉		310)	[16097329, 4103, 184320]	C₅₃₉
17)	[5, 7573, 13733801]	C₅₃₉		307)	[13733801, 4811, 2352980]	C₅₃₉
18)	[5, 7849, 14391449]	C₅₃₉		---)	[14391449, 4763, 2073680]	C₁₀₂₄₁
19)	[8, 4510, 5078753]	C₅₃₉		292)	[5078753, 2255, 1568]	C₅₃₉
20)	[8, 4110, 4220977]	C₅₃₉		---)	[4220977, 2055, 512]	C₃ x C₁₆₁₇
21)	[8, 7814, 15190921]	C₅₃₉		309)	[15190921, 3907, 18432]	C₅₃₉
22)	[8, 7310, 13051697]	C₅₃₉		306)	[13051697, 3655, 76832]	C₅₃₉
23)	[8, 8390, 15845833]	C₅₃₉		---)	[15845833, 4195, 438048]	C₁₁ x C₅₃₉
24)	[8, 6430, 7300577]	C₅₃₉		296)	[7300577, 3215, 758912]	C₅₃₉
25)	[8, 2830, 1444657]	C₅₃₉		280)	[1444657, 1415, 139392]	C₅₃₉
26)	[8, 7790, 9633233]	C₅₃₉		301)	[9633233, 3895, 1384448]	C₅₃₉
27)	[8, 3454, 2976257]	C₅₃₉		287)	[2976257, 1727, 1568]	C₅₃₉
28)	[8, 5710, 8148977]	C₅₃₉		---)	[8148977, 2855, 512]	C₁₆₁₇
29)	[13, 9278, 20913793]	C₅₃₉		314)	[20913793, 4639, 151632]	C₅₃₉
30)	[13, 5022, 6064673]	C₅₃₉		295)	[6064673, 2511, 60112]	C₅₃₉
31)	[13, 7550, 12985153]	C₅₃₉		305)	[12985153, 3775, 316368]	C₅₃₉
32)	[13, 5502, 7564673]	C₅₃₉		297)	[7564673, 2751, 832]	C₅₃₉
33)	[17, 1606, 383417]	C₅₃₉		262)	[383417, 803, 65348]	C₅₃₉
34)	[17, 1086, 267649]	C₅₃₉		255)	[267649, 543, 6800]	C₅₃₉
35)	[17, 10454, 24379577]	C₅₃₉		---)	[24379577, 5227, 735488]	C₁₁ x C₅₃₉
36)	[17, 2206, 423457]	C₅₃₉		264)	[423457, 1103, 198288]	C₅₃₉
37)	[29, 4630, 5240441]	C₅₃₉		---)	[5240441, 2315, 29696]	C₁₆₁₇
38)	[29, 2558, 1598257]	C₅₃₉		282)	[1598257, 1279, 9396]	C₅₃₉
39)	[29, 3710, 3173761]	C₅₃₉		---)	[3173761, 1855, 66816]	C₁₂₃₉₇
40)	[29, 5710, 8143601]	C₅₃₉		298)	[8143601, 2855, 1856]	C₅₃₉
41)	[29, 3494, 3005609]	C₅₃₉		288)	[3005609, 1747, 11600]	C₅₃₉
42)	[29, 6590, 8956481]	C₅₃₉		299)	[8956481, 3295, 475136]	C₅₃₉
43)	[29, 4070, 4022441]	C₅₃₉		290)	[4022441, 2035, 29696]	C₅₃₉
44)	[37, 4614, 2421449]	C₅₃₉		284)	[2421449, 2307, 725200]	C₅₃₉
45)	[37, 5390, 6495793]	C₅₃₉		---)	[6495793, 2695, 191808]	C₂₆₉₅
46)	[41, 2338, 1353277]	C₅₃₉		279)	[1353277, 1169, 3321]	C₅₃₉
47)	[41, 1651, 572708]	C₅₃₉		249)	[143177, 1903, 10496]	C₅₃₉
48)	[41, 2138, 1129477]	C₅₃₉		276)	[1129477, 1069, 3321]	C₅₃₉
49)	[41, 3122, 2436557]	C₅₃₉		285)	[2436557, 1561, 41]	C₅₃₉
50)	[53, 4510, 1163873]	C₅₃₉		277)	[1163873, 2255, 980288]	C₅₃₉
51)	[53, 2830, 1513777]	C₅₃₉		281)	[1513777, 1415, 122112]	C₅₃₉
52)	[53, 2686, 1790081]	C₅₃₉		---)	[1790081, 1343, 3392]	C₁₆₁₇
53)	[61, 3270, 1908041]	C₅₃₉		---)	[1908041, 1635, 191296]	C₂₆₉₅
54)	[73, 798, 84449]	C₅₃₉		---)	[84449, 399, 18688]	C₁₆₁₇
55)	[73, 5814, 5292377]	C₅₃₉		294)	[5292377, 2907, 789568]	C₅₃₉
56)	[89, 1294, 276209]	C₅₃₉		256)	[276209, 647, 35600]	C₅₃₉
57)	[89, 1443, 236452]	C₅₃₉		241)	[59113, 1823, 461376]	C₅₃₉
58)	[89, 638, 50497]	C₅₃₉		238)	[50497, 319, 12816]	C₅₃₉
59)	[89, 1502, 199457]	C₅₃₉		253)	[199457, 751, 91136]	C₅₃₉
60)	[97, 1083, 149444]	C₅₃₉		235)	[37361, 2166, 575113]	C₅₃₉
61)	[97, 5526, 5150969]	C₅₃₉		293)	[5150969, 2763, 620800]	C₅₃₉
62)	[101, 3590, 2439881]	C₅₃₉		286)	[2439881, 1795, 195536]	C₅₃₉
63)	[109, 1354, 423013]	C₅₃₉		---)	[423013, 677, 8829]	C₉₁₆₃
64)	[109, 4022, 1783897]	C₅₃₉		---)	[1783897, 2011, 565056]	C₁₆₁₇
65)	[113, 6854, 10326857]	C₅₃₉		303)	[10326857, 3427, 354368]	C₅₃₉
66)	[113, 5158, 5609833]	C₅₃₉		---)	[5609833, 2579, 260352]	C₁₆₁₇
67)	[149, 2926, 1186769]	C₅₃₉		278)	[1186769, 1463, 238400]	C₅₃₉
68)	[173, 1954, 937229]	C₅₃₉		---)	[937229, 977, 4325]	C₁₃₄₇₅
69)	[173, 1054, 252817]	C₅₃₉		254)	[252817, 527, 6228]	C₅₃₉
70)	[173, 1294, 349409]	C₅₃₉		261)	[349409, 647, 17300]	C₅₃₉
71)	[173, 3422, 757409]	C₅₃₉		273)	[757409, 1711, 542528]	C₅₃₉
72)	[193, 1418, 328981]	C₅₃₉		258)	[328981, 709, 43425]	C₅₃₉
73)	[233, 1354, 457397]	C₅₃₉		267)	[457397, 677, 233]	C₅₃₉
74)	[241, 915, 187556]	C₇ x C₇₇		237)	[46889, 1830, 87001]	C₇ x C₇₇
75)	[269, 1642, 621317]	C₅₃₉		272)	[621317, 821, 13181]	C₅₃₉
76)	[269, 1262, 393857]	C₅₃₉		---)	[393857, 631, 1076]	C₉₁₆₃
77)	[337, 4838, 5075113]	C₅₃₉		291)	[5075113, 2419, 194112]	C₅₃₉
78)	[337, 1466, 525157]	C₅₃₉		269)	[525157, 733, 3033]	C₅₃₉
79)	[353, 4214, 1705817]	C₅₃₉		283)	[1705817, 2107, 683408]	C₅₃₉
80)	[373, 741, 137177]	C₅₃₉		---)	[137177, 1482, 373]	C₁₆₁₇
81)	[389, 6118, 8461225]	C₅₃₉		259)	[338449, 3059, 224064]	C₅₃₉
82)	[557, 1858, 486509]	C₅₃₉		268)	[486509, 929, 94133]	C₅₃₉
83)	[601, 1850, 737829]	C₅₃₉		194)	[9109, 925, 29449]	C₅₃₉
84)	[613, 4390, 4778793]	C₅₃₉		270)	[530977, 2195, 9808]	C₅₃₉
85)	[653, 1130, 191237]	C₅₃₉		252)	[191237, 565, 31997]	C₅₃₉
86)	[701, 1069, 157933]	C₅₃₉		250)	[157933, 2138, 511029]	C₅₃₉
87)	[757, 1478, 437113]	C₅₃₉		266)	[437113, 739, 27252]	C₅₃₉
88)	[757, 777, 82613]	C₅₃₉		242)	[82613, 1554, 273277]	C₅₃₉
89)	[797, 1298, 341501]	C₅₃₉		260)	[341501, 649, 19925]	C₅₃₉
90)	[797, 601, 80537]	C₅₃₉		---)	[80537, 1202, 39053]	C₂₆₉₅
91)	[853, 1310, 306193]	C₅₃₉		257)	[306193, 655, 30708]	C₅₃₉
92)	[853, 3253, 18049]	C₅₃₉		227)	[18049, 2371, 1364800]	C₅₃₉
93)	[937, 5206, 3837177]	C₅₃₉		265)	[426353, 2603, 734608]	C₅₃₉
94)	[1021, 3974, 3882825]	C₅₃₉		---)	[17257, 1987, 16336]	C₇ x C₅₃₉
95)	[1033, 619, 37684]	C₅₃₉		195)	[9421, 1238, 232425]	C₅₃₉
96)	[1033, 2166, 908441]	C₅₃₉		275)	[908441, 1083, 66112]	C₅₃₉
97)	[1061, 4073, 639401]	C₅₃₉		---)	[13049, 2215, 831824]	C₇ x C₅₃₉
98)	[1097, 682, 111893]	C₅₃₉		246)	[111893, 341, 1097]	C₅₃₉
99)	[1153, 558, 4049]	C₅₃₉		153)	[4049, 279, 18448]	C₅₃₉
100)	[1181, 1250, 385901]	C₅₃₉		263)	[385901, 625, 1181]	C₅₃₉
101)	[1181, 3838, 3380225]	C₅₃₉		---)	[135209, 1919, 75584]	C₁₆₁₇
102)	[1181, 694, 101513]	C₅₃₉		245)	[101513, 347, 4724]	C₅₃₉
103)	[1297, 482, 52893]	C₅₃₉		---)	[653, 241, 1297]	C₄₉
104)	[1301, 373, 34457]	C₅₃₉		234)	[34457, 746, 1301]	C₅₃₉
105)	[1481, 942, 127057]	C₅₃₉		122)	[2593, 471, 23696]	C₅₃₉
106)	[1493, 973, 128813]	C₅₃₉		247)	[128813, 1946, 431477]	C₅₃₉
107)	[1601, 1391, 451300]	C₇ x C₇₇		---)	[4513, 2727, 774884]	C₇₇
108)	[1601, 4787, 5661200]	C₇ x C₇₇		---)	[14153, 4163, 4329104]	C₇₇
109)	[1613, 589, 83101]	C₅₃₉		243)	[83101, 1178, 14517]	C₅₃₉
110)	[1657, 402, 33773]	C₅₃₉		233)	[33773, 201, 1657]	C₅₃₉
111)	[1801, 5858, 7707357]	C₅₃₉		---)	[17477, 2929, 217921]	C₁₆₁₇
112)	[1933, 1390, 204673]	C₅₃₉		158)	[4177, 695, 69588]	C₅₃₉
113)	[2017, 2218, 1221813]	C₅₃₉		248)	[135757, 1109, 2017]	C₅₃₉
114)	[2273, 626, 16141]	C₅₃₉		---)	[16141, 313, 20457]	C₁₆₁₇
115)	[2357, 6173, 3030001]	C₅₃₉		---)	[17929, 5819, 4157748]	C₁₆₁₇
116)	[2381, 1198, 15937]	C₅₃₉		221)	[15937, 599, 85716]	C₅₃₉
117)	[2417, 1318, 279593]	C₅₃₉		---)	[279593, 659, 38672]	C₁₆₁₇
118)	[2437, 1021, 123529]	C₅₃₉		121)	[2521, 2042, 548325]	C₅₃₉
119)	[2473, 3522, 1429373]	C₅₃₉		201)	[11813, 1761, 417937]	C₅₃₉
120)	[2477, 650, 95717]	C₅₃₉		244)	[95717, 325, 2477]	C₅₃₉
121)	[2521, 2042, 548325]	C₅₃₉		118)	[2437, 1021, 123529]	C₅₃₉
122)	[2593, 471, 23696]	C₅₃₉		105)	[1481, 942, 127057]	C₅₃₉
123)	[2633, 1067, 252368]	C₅₃₉		---)	[15773, 2134, 129017]	C₁₆₁₇
124)	[2693, 934, 45737]	C₅₃₉		236)	[45737, 467, 43088]	C₅₃₉
125)	[2897, 442, 37253]	C₅₃₉		---)	[37253, 221, 2897]	C₂₆₉₅
126)	[2897, 306, 11821]	C₅₃₉		---)	[11821, 153, 2897]	C₁₆₁₇
127)	[2897, 959, 66964]	C₅₃₉		---)	[16741, 1918, 651825]	C₂₆₉₅
128)	[2957, 3365, 2209097]	C₅₃₉		---)	[18257, 6730, 2486837]	C₁₆₁₇
129)	[2969, 2395, 720704]	C₅₃₉		200)	[11261, 4790, 2853209]	C₅₃₉
130)	[3037, 5933, 107469]	C₅₃₉		203)	[11941, 5801, 27333]	C₅₃₉
131)	[3329, 4315, 1558004]	C₅₃₉		189)	[7949, 3109, 2080625]	C₅₃₉
132)	[3361, 3231, 68084]	C₅₃₉		224)	[17021, 6462, 10167025]	C₅₃₉
133)	[3373, 249, 14657]	C₅₃₉		216)	[14657, 498, 3373]	C₅₃₉
134)	[3373, 5926, 8725401]	C₅₃₉		204)	[11969, 2963, 13492]	C₅₃₉
135)	[3413, 826, 47701]	C₅₃₉		---)	[47701, 413, 30717]	C₁₆₁₇
136)	[3433, 5506, 1523197]	C₅₃₉		192)	[9013, 2753, 1513953]	C₅₃₉
137)	[3433, 4783, 5615424]	C₅₃₉		---)	[9749, 3961, 2145625]	C₁₆₁₇
138)	[3449, 2146, 475325]	C₅₃₉		231)	[19013, 1073, 169001]	C₅₃₉
139)	[3449, 635, 30964]	C₅₃₉		188)	[7741, 1270, 279369]	C₅₃₉
140)	[3461, 917, 15541]	C₅₃₉		220)	[15541, 1834, 778725]	C₅₃₉
141)	[3517, 1865, 404433]	C₅₃₉		171)	[4993, 3730, 1860493]	C₅₃₉
142)	[3517, 3589, 159561]	C₅₃₉		226)	[17729, 7178, 12242677]	C₅₃₉
143)	[3529, 1298, 68301]	C₅₃₉		187)	[7589, 649, 88225]	C₅₃₉
144)	[3541, 2257, 953937]	C₅₃₉		---)	[11777, 4514, 1278301]	C₁₆₁₇
145)	[3557, 809, 13337]	C₅₃₉		210)	[13337, 1618, 601133]	C₅₃₉
146)	[3581, 1934, 18353]	C₅₃₉		---)	[18353, 967, 229184]	C₂₆₉₅
147)	[3613, 1845, 741713]	C₅₃₉		219)	[15137, 3690, 437173]	C₅₃₉
148)	[3617, 4202, 3705269]	C₅₃₉		---)	[12821, 2101, 177233]	C₁₆₁₇
149)	[3833, 5159, 52436]	C₅₃₉		209)	[13109, 6661, 3223553]	C₅₃₉
150)	[3853, 797, 134721]	C₅₃₉		---)	[14969, 1594, 96325]	C₁₆₁₇
151)	[3917, 6161, 1732841]	C₅₃₉		215)	[14321, 5243, 6267200]	C₅₃₉
152)	[3989, 5897, 435425]	C₅₃₉		---)	[17417, 6503, 4611284]	C₁₆₁₇
153)	[4049, 279, 18448]	C₅₃₉		99)	[1153, 558, 4049]	C₅₃₉
154)	[4073, 7994, 2274437]	C₅₃₉		230)	[18797, 3997, 3425393]	C₅₃₉
155)	[4133, 2662, 1176409]	C₅₃₉		186)	[6961, 1331, 148788]	C₅₃₉
156)	[4153, 4002, 3588701]	C₅₃₉		197)	[9941, 2001, 103825]	C₅₃₉
157)	[4157, 5238, 3600073]	C₅₃₉		206)	[12457, 2619, 814772]	C₅₃₉
158)	[4177, 695, 69588]	C₅₃₉		112)	[1933, 1390, 204673]	C₅₃₉
159)	[4241, 695, 119696]	C₅₃₉		---)	[7481, 1390, 4241]	C₁₆₁₇
160)	[4421, 8069, 11890453]	C₅₃₉		205)	[12373, 4073, 358101]	C₅₃₉
161)	[4517, 6525, 18793]	C₅₃₉		229)	[18793, 6523, 10407168]	C₅₃₉
162)	[4517, 1826, 670957]	C₅₃₉		---)	[13693, 913, 40653]	C₈₀₈₅
163)	[4517, 1910, 622937]	C₅₃₉		207)	[12713, 955, 72272]	C₅₃₉
164)	[4549, 582, 11897]	C₅₃₉		202)	[11897, 291, 18196]	C₅₃₉
165)	[4637, 7645, 6625433]	C₅₃₉		---)	[18353, 7447, 12538448]	C₂₆₉₅
166)	[4733, 1553, 601769]	C₅₃₉		---)	[12281, 3106, 4733]	C₁₁ x C₅₃₉
167)	[4801, 5839, 4892724]	C₅₃₉		218)	[15101, 6769, 10605409]	C₅₃₉
168)	[4861, 4953, 4090217]	C₅₃₉		214)	[14153, 7043, 7019284]	C₅₃₉
169)	[4909, 6381, 16433]	C₅₃₉		223)	[16433, 7131, 7088596]	C₅₃₉
170)	[4973, 5846, 4645097]	C₅₃₉		222)	[16073, 2923, 974708]	C₅₃₉
171)	[4993, 3730, 1860493]	C₅₃₉		141)	[3517, 1865, 404433]	C₅₃₉
172)	[5021, 1973, 520037]	C₅₃₉		---)	[10613, 3946, 1812581]	C₂₆₉₅
173)	[5189, 6806, 10252025]	C₅₃₉		190)	[8369, 3403, 332096]	C₅₃₉
174)	[5197, 4762, 991861]	C₅₃₉		184)	[5869, 2381, 1169325]	C₅₃₉
175)	[5381, 4929, 5588125]	C₅₃₉		191)	[8941, 5285, 3922749]	C₅₃₉
176)	[5393, 4571, 206672]	C₅₃₉		208)	[12917, 9142, 20067353]	C₅₃₉
177)	[5501, 8442, 17794837]	C₅₃₉		228)	[18517, 4221, 5501]	C₅₃₉
178)	[5501, 2073, 346825]	C₅₃₉		212)	[13873, 4146, 2910029]	C₅₃₉
179)	[5501, 7309, 8568125]	C₅₃₉		211)	[13709, 7913, 5286461]	C₅₃₉
180)	[5653, 4785, 465353]	C₅₃₉		196)	[9497, 5715, 8162932]	C₅₃₉
181)	[5689, 9115, 630324]	C₅₃₉		225)	[17509, 8185, 460809]	C₅₃₉
182)	[5749, 3694, 3319425]	C₅₃₉		217)	[14753, 1847, 22996]	C₅₃₉
183)	[5813, 3833, 1683473]	C₅₃₉		213)	[13913, 7666, 7957997]	C₅₃₉
184)	[5869, 2381, 1169325]	C₅₃₉		174)	[5197, 4762, 991861]	C₅₃₉
185)	[5981, 2753, 266425]	C₅₃₉		199)	[10657, 5506, 6513309]	C₅₃₉
186)	[6961, 1331, 148788]	C₅₃₉		155)	[4133, 2662, 1176409]	C₅₃₉
187)	[7589, 649, 88225]	C₅₃₉		143)	[3529, 1298, 68301]	C₅₃₉
188)	[7741, 1270, 279369]	C₅₃₉		139)	[3449, 635, 30964]	C₅₃₉
189)	[7949, 3109, 2080625]	C₅₃₉		131)	[3329, 4315, 1558004]	C₅₃₉
190)	[8369, 3403, 332096]	C₅₃₉		173)	[5189, 6806, 10252025]	C₅₃₉
191)	[8941, 5285, 3922749]	C₅₃₉		175)	[5381, 4929, 5588125]	C₅₃₉
192)	[9013, 2753, 1513953]	C₅₃₉		136)	[3433, 5506, 1523197]	C₅₃₉
193)	[9029, 1097, 27725]	C₇ x C₇₇		---)	[1109, 2194, 1092509]	C₇₇
194)	[9109, 925, 29449]	C₅₃₉		83)	[601, 1850, 737829]	C₅₃₉
195)	[9421, 1238, 232425]	C₅₃₉		95)	[1033, 619, 37684]	C₅₃₉
196)	[9497, 5715, 8162932]	C₅₃₉		180)	[5653, 4785, 465353]	C₅₃₉
197)	[9941, 2001, 103825]	C₅₃₉		156)	[4153, 4002, 3588701]	C₅₃₉
198)	[10357, 2777, 993213]	C₇ x C₇₇		---)	[653, 1425, 507493]	C₇₇
199)	[10657, 5506, 6513309]	C₅₃₉		185)	[5981, 2753, 266425]	C₅₃₉
200)	[11261, 4790, 2853209]	C₅₃₉		129)	[2969, 2395, 720704]	C₅₃₉
201)	[11813, 1761, 417937]	C₅₃₉		119)	[2473, 3522, 1429373]	C₅₃₉
202)	[11897, 291, 18196]	C₅₃₉		164)	[4549, 582, 11897]	C₅₃₉
203)	[11941, 5801, 27333]	C₅₃₉		130)	[3037, 5933, 107469]	C₅₃₉
204)	[11969, 2963, 13492]	C₅₃₉		134)	[3373, 5926, 8725401]	C₅₃₉
205)	[12373, 4073, 358101]	C₅₃₉		160)	[4421, 8069, 11890453]	C₅₃₉
206)	[12457, 2619, 814772]	C₅₃₉		157)	[4157, 5238, 3600073]	C₅₃₉
207)	[12713, 955, 72272]	C₅₃₉		163)	[4517, 1910, 622937]	C₅₃₉
208)	[12917, 9142, 20067353]	C₅₃₉		176)	[5393, 4571, 206672]	C₅₃₉
209)	[13109, 6661, 3223553]	C₅₃₉		149)	[3833, 5159, 52436]	C₅₃₉
210)	[13337, 1618, 601133]	C₅₃₉		145)	[3557, 809, 13337]	C₅₃₉
211)	[13709, 7913, 5286461]	C₅₃₉		179)	[5501, 7309, 8568125]	C₅₃₉
212)	[13873, 4146, 2910029]	C₅₃₉		178)	[5501, 2073, 346825]	C₅₃₉
213)	[13913, 7666, 7957997]	C₅₃₉		183)	[5813, 3833, 1683473]	C₅₃₉
214)	[14153, 7043, 7019284]	C₅₃₉		168)	[4861, 4953, 4090217]	C₅₃₉
215)	[14321, 5243, 6267200]	C₅₃₉		151)	[3917, 6161, 1732841]	C₅₃₉
216)	[14657, 498, 3373]	C₅₃₉		133)	[3373, 249, 14657]	C₅₃₉
217)	[14753, 1847, 22996]	C₅₃₉		182)	[5749, 3694, 3319425]	C₅₃₉
218)	[15101, 6769, 10605409]	C₅₃₉		167)	[4801, 5839, 4892724]	C₅₃₉
219)	[15137, 3690, 437173]	C₅₃₉		147)	[3613, 1845, 741713]	C₅₃₉
220)	[15541, 1834, 778725]	C₅₃₉		140)	[3461, 917, 15541]	C₅₃₉
221)	[15937, 599, 85716]	C₅₃₉		116)	[2381, 1198, 15937]	C₅₃₉
222)	[16073, 2923, 974708]	C₅₃₉		170)	[4973, 5846, 4645097]	C₅₃₉
223)	[16433, 7131, 7088596]	C₅₃₉		169)	[4909, 6381, 16433]	C₅₃₉
224)	[17021, 6462, 10167025]	C₅₃₉		132)	[3361, 3231, 68084]	C₅₃₉
225)	[17509, 8185, 460809]	C₅₃₉		181)	[5689, 9115, 630324]	C₅₃₉
226)	[17729, 7178, 12242677]	C₅₃₉		142)	[3517, 3589, 159561]	C₅₃₉
227)	[18049, 2371, 1364800]	C₅₃₉		92)	[853, 3253, 18049]	C₅₃₉
228)	[18517, 4221, 5501]	C₅₃₉		177)	[5501, 8442, 17794837]	C₅₃₉
229)	[18793, 6523, 10407168]	C₅₃₉		161)	[4517, 6525, 18793]	C₅₃₉
230)	[18797, 3997, 3425393]	C₅₃₉		154)	[4073, 7994, 2274437]	C₅₃₉
231)	[19013, 1073, 169001]	C₅₃₉		138)	[3449, 2146, 475325]	C₅₃₉
232)	[19961, 195, 4516]	C₅₃₉		---)	[1129, 390, 19961]	C₄₈₅₁
233)	[33773, 201, 1657]	C₅₃₉		110)	[1657, 402, 33773]	C₅₃₉
234)	[34457, 746, 1301]	C₅₃₉		104)	[1301, 373, 34457]	C₅₃₉
235)	[37361, 2166, 575113]	C₅₃₉		60)	[97, 1083, 149444]	C₅₃₉
236)	[45737, 467, 43088]	C₅₃₉		124)	[2693, 934, 45737]	C₅₃₉
237)	[46889, 1830, 87001]	C₇ x C₇₇		74)	[241, 915, 187556]	C₇ x C₇₇
238)	[50497, 319, 12816]	C₅₃₉		58)	[89, 638, 50497]	C₅₃₉
239)	[51893, 922, 4949]	C₇ x C₇₇		---)	[101, 461, 51893]	C₇₇
240)	[58477, 385, 22437]	C₇ x C₇₇		---)	[277, 770, 58477]	C₇₇
241)	[59113, 1823, 461376]	C₅₃₉		57)	[89, 1443, 236452]	C₅₃₉
242)	[82613, 1554, 273277]	C₅₃₉		88)	[757, 777, 82613]	C₅₃₉
243)	[83101, 1178, 14517]	C₅₃₉		109)	[1613, 589, 83101]	C₅₃₉
244)	[95717, 325, 2477]	C₅₃₉		120)	[2477, 650, 95717]	C₅₃₉
245)	[101513, 347, 4724]	C₅₃₉		102)	[1181, 694, 101513]	C₅₃₉
246)	[111893, 341, 1097]	C₅₃₉		98)	[1097, 682, 111893]	C₅₃₉
247)	[128813, 1946, 431477]	C₅₃₉		106)	[1493, 973, 128813]	C₅₃₉
248)	[135757, 1109, 2017]	C₅₃₉		113)	[2017, 2218, 1221813]	C₅₃₉
249)	[143177, 1903, 10496]	C₅₃₉		47)	[41, 1651, 572708]	C₅₃₉
250)	[157933, 2138, 511029]	C₅₃₉		86)	[701, 1069, 157933]	C₅₃₉
251)	[178681, 459, 8000]	C₇ x C₇₇		---)	[5, 918, 178681]	C₇₇
252)	[191237, 565, 31997]	C₅₃₉		85)	[653, 1130, 191237]	C₅₃₉
253)	[199457, 751, 91136]	C₅₃₉		59)	[89, 1502, 199457]	C₅₃₉
254)	[252817, 527, 6228]	C₅₃₉		69)	[173, 1054, 252817]	C₅₃₉
255)	[267649, 543, 6800]	C₅₃₉		34)	[17, 1086, 267649]	C₅₃₉
256)	[276209, 647, 35600]	C₅₃₉		56)	[89, 1294, 276209]	C₅₃₉
257)	[306193, 655, 30708]	C₅₃₉		91)	[853, 1310, 306193]	C₅₃₉
258)	[328981, 709, 43425]	C₅₃₉		72)	[193, 1418, 328981]	C₅₃₉
259)	[338449, 3059, 224064]	C₅₃₉		81)	[389, 6118, 8461225]	C₅₃₉
260)	[341501, 649, 19925]	C₅₃₉		89)	[797, 1298, 341501]	C₅₃₉
261)	[349409, 647, 17300]	C₅₃₉		70)	[173, 1294, 349409]	C₅₃₉
262)	[383417, 803, 65348]	C₅₃₉		33)	[17, 1606, 383417]	C₅₃₉
263)	[385901, 625, 1181]	C₅₃₉		100)	[1181, 1250, 385901]	C₅₃₉
264)	[423457, 1103, 198288]	C₅₃₉		36)	[17, 2206, 423457]	C₅₃₉
265)	[426353, 2603, 734608]	C₅₃₉		93)	[937, 5206, 3837177]	C₅₃₉
266)	[437113, 739, 27252]	C₅₃₉		87)	[757, 1478, 437113]	C₅₃₉
267)	[457397, 677, 233]	C₅₃₉		73)	[233, 1354, 457397]	C₅₃₉
268)	[486509, 929, 94133]	C₅₃₉		82)	[557, 1858, 486509]	C₅₃₉
269)	[525157, 733, 3033]	C₅₃₉		78)	[337, 1466, 525157]	C₅₃₉
270)	[530977, 2195, 9808]	C₅₃₉		84)	[613, 4390, 4778793]	C₅₃₉
271)	[563449, 907, 64800]	C₇ x C₇₇		---)	[8, 1814, 563449]	C₇₇
272)	[621317, 821, 13181]	C₅₃₉		75)	[269, 1642, 621317]	C₅₃₉
273)	[757409, 1711, 542528]	C₅₃₉		71)	[173, 3422, 757409]	C₅₃₉
274)	[855821, 929, 1805]	C₇ x C₇₇		---)	[5, 1858, 855821]	C₇₇
275)	[908441, 1083, 66112]	C₅₃₉		96)	[1033, 2166, 908441]	C₅₃₉
276)	[1129477, 1069, 3321]	C₅₃₉		48)	[41, 2138, 1129477]	C₅₃₉
277)	[1163873, 2255, 980288]	C₅₃₉		50)	[53, 4510, 1163873]	C₅₃₉
278)	[1186769, 1463, 238400]	C₅₃₉		67)	[149, 2926, 1186769]	C₅₃₉
279)	[1353277, 1169, 3321]	C₅₃₉		46)	[41, 2338, 1353277]	C₅₃₉
280)	[1444657, 1415, 139392]	C₅₃₉		25)	[8, 2830, 1444657]	C₅₃₉
281)	[1513777, 1415, 122112]	C₅₃₉		51)	[53, 2830, 1513777]	C₅₃₉
282)	[1598257, 1279, 9396]	C₅₃₉		38)	[29, 2558, 1598257]	C₅₃₉
283)	[1705817, 2107, 683408]	C₅₃₉		79)	[353, 4214, 1705817]	C₅₃₉
284)	[2421449, 2307, 725200]	C₅₃₉		44)	[37, 4614, 2421449]	C₅₃₉
285)	[2436557, 1561, 41]	C₅₃₉		49)	[41, 3122, 2436557]	C₅₃₉
286)	[2439881, 1795, 195536]	C₅₃₉		62)	[101, 3590, 2439881]	C₅₃₉
287)	[2976257, 1727, 1568]	C₅₃₉		27)	[8, 3454, 2976257]	C₅₃₉
288)	[3005609, 1747, 11600]	C₅₃₉		41)	[29, 3494, 3005609]	C₅₃₉
289)	[3931721, 1987, 4112]	C₅₃₉		---)	[257, 3974, 3931721]	C₁₆₁₇
290)	[4022441, 2035, 29696]	C₅₃₉		43)	[29, 4070, 4022441]	C₅₃₉
291)	[5075113, 2419, 194112]	C₅₃₉		77)	[337, 4838, 5075113]	C₅₃₉
292)	[5078753, 2255, 1568]	C₅₃₉		19)	[8, 4510, 5078753]	C₅₃₉
293)	[5150969, 2763, 620800]	C₅₃₉		61)	[97, 5526, 5150969]	C₅₃₉
294)	[5292377, 2907, 789568]	C₅₃₉		55)	[73, 5814, 5292377]	C₅₃₉
295)	[6064673, 2511, 60112]	C₅₃₉		30)	[13, 5022, 6064673]	C₅₃₉
296)	[7300577, 3215, 758912]	C₅₃₉		24)	[8, 6430, 7300577]	C₅₃₉
297)	[7564673, 2751, 832]	C₅₃₉		32)	[13, 5502, 7564673]	C₅₃₉
298)	[8143601, 2855, 1856]	C₅₃₉		40)	[29, 5710, 8143601]	C₅₃₉
299)	[8956481, 3295, 475136]	C₅₃₉		42)	[29, 6590, 8956481]	C₅₃₉
300)	[9325361, 3079, 38720]	C₅₃₉		15)	[5, 6158, 9325361]	C₅₃₉
301)	[9633233, 3895, 1384448]	C₅₃₉		26)	[8, 7790, 9633233]	C₅₃₉
302)	[9635441, 3911, 1415120]	C₅₃₉		7)	[5, 6413, 9635441]	C₅₃₉
303)	[10326857, 3427, 354368]	C₅₃₉		65)	[113, 6854, 10326857]	C₅₃₉
304)	[10706369, 3287, 24500]	C₅₃₉		2)	[5, 6574, 10706369]	C₅₃₉
305)	[12985153, 3775, 316368]	C₅₃₉		31)	[13, 7550, 12985153]	C₅₃₉
306)	[13051697, 3655, 76832]	C₅₃₉		22)	[8, 7310, 13051697]	C₅₃₉
307)	[13733801, 4811, 2352980]	C₅₃₉		17)	[5, 7573, 13733801]	C₅₃₉
308)	[14289761, 3791, 20480]	C₅₃₉		1)	[5, 7582, 14289761]	C₅₃₉
309)	[15190921, 3907, 18432]	C₅₃₉		21)	[8, 7814, 15190921]	C₅₃₉
310)	[16097329, 4103, 184320]	C₅₃₉		16)	[5, 8206, 16097329]	C₅₃₉
311)	[16307969, 4063, 50000]	C₅₃₉		6)	[5, 8126, 16307969]	C₅₃₉
312)	[16782889, 4147, 103680]	C₅₃₉		5)	[5, 8294, 16782889]	C₅₃₉
313)	[17807809, 4223, 6480]	C₅₃₉		3)	[5, 8446, 17807809]	C₅₃₉
314)	[20913793, 4639, 151632]	C₅₃₉		29)	[13, 9278, 20913793]	C₅₃₉
315)	[22616449, 4927, 414720]	C₅₃₉		14)	[5, 9854, 22616449]	C₅₃₉
316)	[23702729, 5027, 392000]	C₅₃₉		13)	[5, 10054, 23702729]	C₅₃₉
317)	[25994249, 5123, 62720]	C₅₃₉		8)	[5, 10246, 25994249]	C₅₃₉