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Results (displaying all 18 matches)

Label Polynomial Discriminant Galois group Class group
18.2.303256405652583481344.2 x18 + 7x12 - 3x8 + 4x6 - 3x4 + 3x2 - 1 \( 2^{30}\cdot 3^{24} \) 18T268 Trivial
18.2.388872672702047686656.1 x18 - 5x17 + 6x16 + 14x15 - 49x14 + 37x13 + 64x12 - 157x11 + 98x10 + 81x9 - 168x8 + 75x7 + 46x6 - 49x5 - 21x4 + 52x3 - 32x2 + 9x - 1 \( 2^{12}\cdot 3^{6}\cdot 7^{12}\cdot 97^{2} \) 18T268 Trivial
18.6.19634130432842855035456.1 x18 - 3x16 - x15 + 2x13 - x12 + x11 + 3x10 + 4x9 + 3x8 + x7 - x6 + 2x5 - x3 - 3x2 + 1 \( 2^{6}\cdot 7^{12}\cdot 53^{6} \) 18T268 Trivial
18.6.1256584347701942722269184.1 x18 + 8x16 + 16x14 - 20x12 - 102x10 - 96x8 + 11x6 + 40x4 + 4x2 - 1 \( 2^{12}\cdot 7^{12}\cdot 53^{6} \) 18T268 Trivial
18.10.1256584347701942722269184.2 x18 - 3x16 - 25x14 + 73x12 + 41x10 - 115x8 - 60x6 + 18x4 + 7x2 - 1 \( 2^{12}\cdot 7^{12}\cdot 53^{6} \) 18T268 Trivial
18.10.1256584347701942722269184.3 x18 + 2x16 - 32x14 + 27x12 + 147x10 - 229x8 + 27x6 + 34x4 - 3x2 - 1 \( 2^{12}\cdot 7^{12}\cdot 53^{6} \) 18T268 Trivial
18.6.1592822467387587324542976.1 x18 - 4x17 - 6x16 + 20x15 + 83x14 - 114x13 - 471x12 + 376x11 + 2377x10 - 4364x9 + 1446x8 + 2378x7 - 3148x6 + 2514x5 - 1489x4 + 646x3 - 311x2 + 40x - 1 \( 2^{24}\cdot 3^{6}\cdot 7^{12}\cdot 97^{2} \) 18T268 Trivial
18.6.1592822467387587324542976.2 x18 + 8x16 + 5x14 - 123x12 - 429x10 - 110x8 + 2474x6 + 4089x4 - 3395x2 - 9409 \( 2^{24}\cdot 3^{6}\cdot 7^{12}\cdot 97^{2} \) 18T268 Trivial
18.14.80421398252924334225227776.1 x18 - 10x16 + 32x14 - 20x12 - 86x10 + 172x8 - 101x6 + 6x4 + 8x2 - 1 \( 2^{18}\cdot 7^{12}\cdot 53^{6} \) 18T268 Trivial (GRH)
18.14.80421398252924334225227776.2 x18 - 7x16 + 3x14 + 46x12 - 67x10 - 41x8 + 130x6 - 80x4 + 17x2 - 1 \( 2^{18}\cdot 7^{12}\cdot 53^{6} \) 18T268 Trivial (GRH)
18.18.2634685428164054113552687169536.1 x18 - 37x16 + 587x14 - 5226x12 + 28646x10 - 99515x8 + 216166x6 - 275496x4 + 174846x2 - 32761 \( 2^{18}\cdot 7^{12}\cdot 53^{6}\cdot 181^{2} \) 18T268 Trivial (GRH)
18.18.7378817931230277278673861083136.1 x18 - 36x16 + 549x14 - 4621x12 + 23403x10 - 72696x8 + 134474x6 - 134901x4 + 58149x2 - 5041 \( 2^{30}\cdot 3^{24}\cdot 13^{6}\cdot 71^{2} \) 18T268 Trivial (GRH)
18.10.15619445986872425452605886500864.1 x18 + 12x16 - 9x15 - 90x14 + 81x13 - 1134x12 + 882x11 + 3996x10 - 4649x9 + 11151x8 - 2175x7 - 34608x6 + 19161x5 - 42750x4 + 13578x3 + 153729x2 - 35109x - 98331 \( 2^{12}\cdot 3^{30}\cdot 7^{6}\cdot 12547^{2} \) 18T268 Trivial (GRH)
18.10.104307434130835144927034715930624.1 x18 - 9x16 - 63x14 + 303x12 + 207x10 - 1584x8 + 723x6 + 1287x4 - 513x2 - 361 \( 2^{18}\cdot 3^{32}\cdot 19^{2}\cdot 29^{6} \) 18T268 Trivial (GRH)
18.6.195295560940027641856000000000000.1 x18 + 18x16 + 46x14 - 631x12 - 3050x10 - 501x8 + 13838x6 + 14275x4 - 2987x2 - 841 \( 2^{36}\cdot 5^{12}\cdot 7^{12}\cdot 29^{2} \) 18T268 $[3]$ (GRH)
18.6.747445674816688288211936682840064.1 x18 - 3x17 - 13x16 + 30x15 - 684x14 - 441x13 - 6520x12 - 28568x11 - 16850x10 - 252408x9 - 269658x8 - 274772x7 - 721353x6 + 4178615x5 + 8506562x4 + 19120631x3 + 27433944x2 + 57979404x - 14597064 \( 2^{12}\cdot 7^{12}\cdot 29^{6}\cdot 53^{6} \) 18T268 $[2]$ (GRH)
18.6.860550148596054437082169344000000.1 x18 + 24x16 - 12x15 + 267x14 + 372x13 - 2439x12 + 5268x11 - 3315x10 - 26096x9 + 3498x8 - 38430x7 - 323604x6 + 482364x5 + 326187x4 + 18882x3 + 2309247x2 - 760338x - 1517613 \( 2^{24}\cdot 3^{32}\cdot 5^{6}\cdot 11^{6} \) 18T268 Trivial (GRH)
18.6.860550148596054437082169344000000.2 x18 - 3x16 - 54x15 - 417x14 - 1548x13 - 4416x12 - 11448x11 - 23556x10 - 12420x9 + 174777x8 + 947232x7 + 2818683x6 + 5703156x5 + 8092887x4 + 7835400x3 + 4804836x2 + 1622934x + 219707 \( 2^{24}\cdot 3^{32}\cdot 5^{6}\cdot 11^{6} \) 18T268 Trivial (GRH)


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