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Results (displaying all 14 matches)

Label Polynomial Discriminant Galois group Class group
16.8.598349372392350941184.2 x16 - 16x14 + 56x12 - 112x10 + 172x8 - 176x6 + 104x4 - 32x2 + 4 \( 2^{50}\cdot 3^{12} \) $C_2^2:Q_8$ (as 16T31) Trivial (GRH)
16.0.598349372392350941184.5 x16 + 16x14 + 56x12 + 112x10 + 172x8 + 176x6 + 104x4 + 32x2 + 4 \( 2^{50}\cdot 3^{12} \) $C_2^2:Q_8$ (as 16T31) $[2]$
16.8.2393397489569403764736.1 x16 - 8x15 + 28x14 - 40x13 - 64x12 + 424x11 - 820x10 + 368x9 + 1378x8 - 2680x7 + 1328x6 + 1240x5 - 1744x4 + 512x3 + 160x2 - 80x - 2 \( 2^{52}\cdot 3^{12} \) $C_2^2:Q_8$ (as 16T31) Trivial (GRH)
16.8.2393397489569403764736.2 x16 - 8x15 + 20x14 - 16x13 - 4x12 + 32x11 - 96x10 + 168x9 - 128x8 - 144x7 + 300x6 - 112x5 - 88x4 + 56x3 + 8x2 - 8x + 1 \( 2^{52}\cdot 3^{12} \) $C_2^2:Q_8$ (as 16T31) Trivial (GRH)
16.0.2393397489569403764736.4 x16 - 8x15 + 20x14 - 8x13 - 20x12 - 16x11 + 80x10 - 64x9 + 64x8 - 144x7 + 156x6 - 120x5 + 144x4 - 72x3 + 72x2 + 9 \( 2^{52}\cdot 3^{12} \) $C_2^2:Q_8$ (as 16T31) $[2]$
16.0.2393397489569403764736.6 x16 - 8x15 + 28x14 - 48x13 + 24x12 + 64x11 - 144x10 + 192x9 - 320x8 + 544x7 - 308x6 - 880x5 + 2748x4 - 3864x3 + 3416x2 - 1760x + 409 \( 2^{52}\cdot 3^{12} \) $C_2^2:Q_8$ (as 16T31) $[2]$
16.0.1495873430980877352960000.1 x16 + 4x12 - 48x10 + 246x8 + 768x6 + 1924x4 + 2352x2 + 2401 \( 2^{52}\cdot 3^{12}\cdot 5^{4} \) $C_2^2:Q_8$ (as 16T31) $[2, 6]$ (GRH)
16.16.1495873430980877352960000.1 x16 - 24x14 + 220x12 - 984x10 + 2262x8 - 2568x6 + 1180x4 - 72x2 + 1 \( 2^{52}\cdot 3^{12}\cdot 5^{4} \) $C_2^2:Q_8$ (as 16T31) Trivial (GRH)
16.0.1495873430980877352960000.2 x16 + 4x12 + 48x10 + 246x8 - 768x6 + 1924x4 - 2352x2 + 2401 \( 2^{52}\cdot 3^{12}\cdot 5^{4} \) $C_2^2:Q_8$ (as 16T31) $[2, 2]$ (GRH)
16.0.1495873430980877352960000.3 x16 + 24x14 + 220x12 + 984x10 + 2262x8 + 2568x6 + 1180x4 + 72x2 + 1 \( 2^{52}\cdot 3^{12}\cdot 5^{4} \) $C_2^2:Q_8$ (as 16T31) $[2, 6]$ (GRH)
16.0.2190108290299102532468736.1 x16 + 20x14 + 140x12 + 440x10 + 679x8 + 520x6 + 188x4 + 28x2 + 1 \( 2^{48}\cdot 3^{12}\cdot 11^{4} \) $C_2^2:Q_8$ (as 16T31) $[2, 10]$ (GRH)
16.16.2190108290299102532468736.1 x16 - 20x14 + 140x12 - 440x10 + 679x8 - 520x6 + 188x4 - 28x2 + 1 \( 2^{48}\cdot 3^{12}\cdot 11^{4} \) $C_2^2:Q_8$ (as 16T31) Trivial (GRH)
16.0.5983493723923509411840000.1 x16 - 8x15 + 36x14 - 48x13 + 128x12 + 120x11 + 56x10 + 256x9 + 1026x8 - 232x7 - 304x6 + 432x5 + 764x4 + 1392x3 + 4968x2 + 4592x + 1438 \( 2^{54}\cdot 3^{12}\cdot 5^{4} \) $C_2^2:Q_8$ (as 16T31) $[2, 8]$ (GRH)
16.0.167442686719647879731871744.1 x16 + 16x14 + 248x12 + 1696x10 + 8098x8 + 17744x6 + 32408x4 + 27104x2 + 14641 \( 2^{50}\cdot 3^{12}\cdot 23^{4} \) $C_2^2:Q_8$ (as 16T31) $[2, 2, 2, 10]$ (GRH)



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