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Results (displaying all 8 matches)

Label Polynomial Discriminant Galois group Class group
16.0.2690420062500000000.1 x16 - 5x15 + 22x14 - 55x13 + 125x12 - 195x11 + 297x10 - 330x9 + 384x8 - 320x7 + 283x6 - 170x5 + 115x4 - 50x3 + 23x2 - 5x + 1 \( 2^{8}\cdot 3^{16}\cdot 5^{12} \) $A_4:C_4$ (as 16T62) $[2]$
16.0.217924025062500000000.1 x16 - 3x15 + 11x14 - 37x13 + 100x12 - 233x11 + 458x10 - 736x9 + 1003x8 - 1124x7 + 998x6 - 709x5 + 394x4 - 161x3 + 47x2 - 9x + 1 \( 2^{8}\cdot 3^{20}\cdot 5^{12} \) $A_4:C_4$ (as 16T62) $[4]$
16.0.435984840062500000000.1 x16 - 6x15 + 18x14 - 24x13 + 3x12 + 54x11 + 10x10 - 90x9 + 291x8 + 90x7 + 10x6 - 54x5 + 3x4 + 24x3 + 18x2 + 6x + 1 \( 2^{8}\cdot 5^{12}\cdot 17^{8} \) $A_4:C_4$ (as 16T62) $[2]$
16.0.11019960576000000000000.1 x16 + 7x14 + 29x12 + 98x10 + 266x8 + 490x6 + 725x4 + 875x2 + 625 \( 2^{20}\cdot 3^{16}\cdot 5^{12} \) $A_4:C_4$ (as 16T62) $[4]$
16.0.45137758519296000000000000.1 x16 + 12x14 - 20x13 + 138x12 - 240x11 + 1824x10 - 5520x9 + 22020x8 - 34720x7 + 42144x6 - 19920x5 + 5608x4 + 9600x3 + 11232x2 + 4320x + 1296 \( 2^{32}\cdot 3^{16}\cdot 5^{12} \) $A_4:C_4$ (as 16T62) $[10]$ (GRH)
16.0.327296709839930989200080896.1 x16 - 4x15 + 22x14 + 16x13 + 78x12 - 132x11 + 1310x10 - 1932x9 - 5837x8 - 3294x7 + 14832x6 - 1270x5 + 2923x4 + 19178x3 + 12447x2 + 3794x + 1977 \( 2^{16}\cdot 11^{8}\cdot 13^{12} \) $A_4:C_4$ (as 16T62) $[2, 2, 4]$ (GRH)
16.16.327296709839930989200080896.1 x16 - 4x15 - 36x14 + 126x13 + 405x12 - 1160x11 - 1684x10 + 3560x9 + 2657x8 - 3560x7 - 1684x6 + 1160x5 + 405x4 - 126x3 - 36x2 + 4x + 1 \( 2^{16}\cdot 11^{8}\cdot 13^{12} \) $A_4:C_4$ (as 16T62) Trivial (GRH)
16.16.722204136308736000000000000.1 x16 - 56x14 - 44x13 + 1112x12 + 1588x11 - 9152x10 - 17980x9 + 27697x8 + 69176x7 - 34168x6 - 113764x5 + 19886x4 + 81172x3 - 11788x2 - 19596x + 4441 \( 2^{36}\cdot 3^{16}\cdot 5^{12} \) $A_4:C_4$ (as 16T62) Trivial (GRH)


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