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Results (displaying all 11 matches)

Label Polynomial Discriminant Galois group Class group
21.21.31993368160435329741277209296896.1 x21 - 7x20 - 13x19 + 208x18 - 267x17 - 1890x16 + 5310x15 + 4781x14 - 31996x13 + 16294x12 + 77939x11 - 103109x10 - 52599x9 + 164304x8 - 52267x7 - 74030x6 + 58226x5 - 9947x4 - 1399x3 + 399x2 - 10x - 1 \( 2^{18}\cdot 73^{14} \) $C_7:C_3$ (as 21T2) Trivial (GRH)
21.21.289519088236998333905056353746944.1 x21 - 7x20 - 21x19 + 238x18 - 245x17 - 1848x16 + 4732x15 + 1861x14 - 18536x13 + 16856x12 + 14819x11 - 32431x10 + 8897x9 + 16660x8 - 13533x7 + 392x6 + 3514x5 - 1547x4 + 161x3 + 49x2 - 14x + 1 \( 2^{18}\cdot 7^{32} \) $C_7:C_3$ (as 21T2) Trivial (GRH)
21.21.86620507852136986313803229728551889.1 x21 - 6x20 - 33x19 + 233x18 + 329x17 - 3262x16 - 1293x15 + 23199x14 + 2230x13 - 94736x12 - 9112x11 + 230162x10 + 58671x9 - 317626x8 - 158283x7 + 200827x6 + 166516x5 - 10000x4 - 42256x3 - 13584x2 - 1600x - 64 \( 313^{14} \) $C_7:C_3$ (as 21T2) Trivial (GRH)
21.21.988509426193021817935320621873627136.1 x21 - 7x20 - 45x19 + 362x18 + 799x17 - 7508x16 - 7656x15 + 79875x14 + 49998x13 - 459906x12 - 252543x11 + 1367403x10 + 782753x9 - 1809622x8 - 897807x7 + 1116746x6 + 430780x5 - 303555x4 - 87913x3 + 25235x2 + 7546x + 343 \( 2^{18}\cdot 7^{14}\cdot 11^{18} \) $C_7:C_3$ (as 21T2) Trivial (GRH)
21.21.40038978752353387663316403260542418944.1 x21 - 5x20 - 63x19 + 346x18 + 1377x17 - 8838x16 - 12180x15 + 107597x14 + 26142x13 - 675808x12 + 238721x11 + 2184149x10 - 1549027x9 - 3422708x8 + 3271777x7 + 2382104x6 - 2931914x5 - 581659x4 + 1163183x3 - 57751x2 - 168018x + 32573 \( 2^{18}\cdot 199^{14} \) $C_7:C_3$ (as 21T2) Trivial (GRH)
21.21.4539403286895028130634165104558075019264.1 x21 - 90x19 - 54x18 + 3180x17 + 3024x16 - 58772x15 - 67734x14 + 629568x13 + 784368x12 - 4069848x11 - 5110992x10 + 15949576x9 + 19347408x8 - 36320292x7 - 42371712x6 + 42009624x5 + 50881608x4 - 15240528x3 - 26180496x2 - 5843664x - 190728 \( 2^{18}\cdot 3^{28}\cdot 31^{14} \) $C_7:C_3$ (as 21T2) $[3]$ (GRH)
21.21.13136233521869762226411268456105692626944.1 x21 - x20 - 85x19 - 44x18 + 2809x17 + 5152x16 - 41166x15 - 131957x14 + 189850x13 + 1279532x12 + 1063163x11 - 3442335x10 - 8884217x9 - 7903686x8 - 1827259x7 + 1604980x6 + 1042524x5 + 68775x4 - 81417x3 - 15141x2 + 1372x + 343 \( 2^{18}\cdot 7^{14}\cdot 43^{14} \) $C_7:C_3$ (as 21T2) $[3]$ (GRH)
21.21.56296849895429213104110710203449262473216.1 x21 - 105x19 - 119x18 + 4599x17 + 10290x16 - 103334x15 - 360885x14 + 1118670x13 + 6432475x12 - 1703289x11 - 58140705x10 - 81978176x9 + 197166396x8 + 700361361x7 + 439003348x6 - 1276860228x5 - 3090183579x4 - 3073057932x3 - 1588530069x2 - 391156857x - 28779219 \( 2^{18}\cdot 3^{28}\cdot 7^{26} \) $C_7:C_3$ (as 21T2) $[3]$ (GRH)
21.21.159218785599036824660651669785398798634009.1 x21 - 9x20 - 70x19 + 768x18 + 1466x17 - 25320x16 + 779x15 + 409371x14 - 412080x13 - 3420406x12 + 5652363x11 + 14095477x10 - 32356568x9 - 22553276x8 + 85473488x7 - 10352270x6 - 87722101x5 + 49086315x4 + 6245027x3 - 3047523x2 - 337401x + 1593 \( 877^{14} \) $C_7:C_3$ (as 21T2) Trivial (GRH)
21.21.576784432862339953527413669923017531326464.1 x21 - 4x20 - 127x19 + 339x18 + 6077x17 - 8442x16 - 135842x15 + 57349x14 + 1461398x13 + 149067x12 - 7801639x11 - 2592179x10 + 21127316x9 + 8554392x8 - 28090537x7 - 10678784x6 + 16344264x5 + 4723953x4 - 3302816x3 - 671223x2 + 33705x + 189 \( 2^{18}\cdot 7^{14}\cdot 23^{18} \) $C_7:C_3$ (as 21T2) Trivial (GRH)
21.21.781286945806524287560821363867897500532736.1 x21 - 7x20 - 85x19 + 600x18 + 2969x17 - 20148x16 - 58666x15 + 340921x14 + 762604x13 - 3106176x12 - 6541447x11 + 14463151x10 + 32672825x9 - 27520996x8 - 75363341x7 + 12806508x6 + 63845912x5 - 2336541x4 - 19620833x3 + 1847525x2 + 1883508x - 325961 \( 2^{18}\cdot 13^{14}\cdot 31^{14} \) $C_7:C_3$ (as 21T2) $[3]$ (GRH)


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