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Results (1-50 of 90 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
4.0.3276636255692800.4 $x^{4} + 340340 x^{2} + 5306751450$ $2^{11}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $C_4$ (as 4T1) $[2, 2, 2, 2, 4, 19720]$ $7.47647206052$
4.0.3276636255692800.8 $x^{4} + 340340 x^{2} + 28892313450$ $2^{11}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $C_4$ (as 4T1) $[2, 2, 2, 2, 20, 4040]$ $7.47647206052$
4.0.10274701018982400.10 $x^{4} + 32032 x^{2} + 90596506$ $2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{3}\cdot 11^{3}\cdot 13^{2}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 2, 2, 2, 4, 8, 2088]$ $15.5480298008$
4.0.22936453789849600.1 $x^{4} + 12376 x^{2} + 3094$ $2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 3136]$ $21.6195367027$
4.0.22936453789849600.4 $x^{4} + 24752 x^{2} + 10052406$ $2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 2, 4, 4, 8, 3184]$ $21.6195367027$
4.0.22936453789849600.6 $x^{4} + 12376 x^{2} + 24507574$ $2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[4, 4, 4, 4, 4624]$ $21.6195367027$
4.0.22936453789849600.11 $x^{4} + 24752 x^{2} + 46809126$ $2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 2, 4, 4, 8, 3328]$ $21.6195367027$
4.0.22936453789849600.12 $x^{4} + 49504 x^{2} + 59779174$ $2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 2, 4, 4, 16, 1296]$ $21.6195367027$
4.0.22936453789849600.14 $x^{4} + 24752 x^{2} + 132574806$ $2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 9904]$ $21.6195367027$
4.0.22936453789849600.16 $x^{4} + 24752 x^{2} + 152484696$ $2^{11}\cdot 5^{2}\cdot 7^{3}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 11600]$ $21.6195367027$
4.0.24574771917696000.3 $x^{4} + 46410 x^{2} + 13157235$ $2^{10}\cdot 3\cdot 5^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 12, 3312]$ $16.4547508708$
4.0.24574771917696000.9 $x^{4} + 46410 x^{2} + 527751315$ $2^{10}\cdot 3\cdot 5^{3}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 9516]$ $16.4547508708$
4.0.29489726301235200.2 $x^{4} + 1021020 x^{2} + 589639050$ $2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $C_4$ (as 4T1) $[2, 2, 2, 2, 4, 4, 4, 1768]$ $7.47647206052$
4.0.29489726301235200.4 $x^{4} + 1021020 x^{2} + 47760763050$ $2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $C_4$ (as 4T1) $[2, 2, 2, 2, 4, 8, 8, 520]$ $7.47647206052$
4.0.29489726301235200.7 $x^{4} + 1021020 x^{2} + 212859697050$ $2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $C_4$ (as 4T1) $[2, 2, 2, 2, 2, 2, 4, 5128]$ $7.47647206052$
4.0.29489726301235200.8 $x^{4} + 1021020 x^{2} + 260030821050$ $2^{11}\cdot 3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{3}\cdot 17^{3}$ $C_4$ (as 4T1) $[2, 2, 2, 2, 2, 2, 100, 200]$ $7.47647206052$
4.0.39697708482432000.2 $x^{4} + 30940 x^{2} + 402220$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 8, 1248]$ $15.5480298008$
4.0.39697708482432000.4 $x^{4} + 77350 x^{2} + 2513875$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 2504]$ $15.5480298008$
4.0.39697708482432000.5 $x^{4} + 92820 x^{2} + 3619980$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 8, 992]$ $15.5480298008$
4.0.39697708482432000.8 $x^{4} + 30940 x^{2} + 212774380$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 8, 1384]$ $15.5480298008$
4.0.39697708482432000.10 $x^{4} + 77350 x^{2} + 374165155$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 8, 1440]$ $15.5480298008$
4.0.39697708482432000.14 $x^{4} + 77350 x^{2} + 692723395$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 2856]$ $15.5480298008$
4.0.39697708482432000.16 $x^{4} + 77350 x^{2} + 1329839875$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 8, 1072]$ $15.5480298008$
4.0.39697708482432000.18 $x^{4} + 92820 x^{2} + 1914969420$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{3}\cdot 11^{2}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 2072]$ $15.5480298008$
4.0.47703969016704000.4 $x^{4} + 7150 x^{2} + 17875$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 2256]$ $15.9157544721$
4.0.47703969016704000.5 $x^{4} + 8580 x^{2} + 25740$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 2, 2, 4, 4, 4, 2532]$ $15.9157544721$
4.0.47703969016704000.12 $x^{4} + 24310 x^{2} + 206635$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 2496]$ $15.9157544721$
4.0.47703969016704000.15 $x^{4} + 37180 x^{2} + 483340$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 12, 1152]$ $15.9157544721$
4.0.47703969016704000.16 $x^{4} + 7150 x^{2} + 8186035$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 12, 840]$ $15.9157544721$
4.0.47703969016704000.17 $x^{4} + 7150 x^{2} + 12270115$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 2760]$ $15.9157544721$
4.0.47703969016704000.23 $x^{4} + 15730 x^{2} + 57263635$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 2, 2, 4, 4, 4, 1968]$ $15.9157544721$
4.0.47703969016704000.26 $x^{4} + 21450 x^{2} + 110431035$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 2, 2, 4, 4, 12, 876]$ $15.9157544721$
4.0.47703969016704000.28 $x^{4} + 37180 x^{2} + 180182860$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 2460]$ $15.9157544721$
4.0.47703969016704000.31 $x^{4} + 37180 x^{2} + 245528140$ $2^{10}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 2712]$ $15.9157544721$
4.0.74206174025984000.11 $x^{4} + 3543790250$ $2^{11}\cdot 5^{3}\cdot 7^{3}\cdot 11^{3}\cdot 13^{3}\cdot 17^{2}$ $D_{4}$ (as 4T3) $[2, 2, 4, 4, 4, 5064]$ $17.8128743113$
4.0.80588540063170621.4 $x^{4} - x^{3} + 53993 x^{2} + 25835471 x + 5004230521$ $61^{3}\cdot 73^{3}\cdot 97^{3}$ $C_4$ (as 4T1) $[2, 2, 2, 8, 8, 1968]$ $17.37049349566125$
4.0.95788380689240149.4 $x^{4} - x^{3} + 57194 x^{2} - 5347604 x + 7299499035$ $53^{3}\cdot 89^{3}\cdot 97^{3}$ $C_4$ (as 4T1) $[2, 2, 24, 25008]$ $34.43684460519887$
4.0.124764226659072000.1 $x^{4} + 48620 x^{2} + 53409070$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 8, 1072]$ $15.5480298008$
4.0.124764226659072000.2 $x^{4} + 243100 x^{2} + 114086830$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 2, 4, 4, 4, 6984]$ $15.5480298008$
4.0.124764226659072000.4 $x^{4} + 97240 x^{2} + 213636280$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 2, 4, 4, 4, 9560]$ $15.5480298008$
4.0.124764226659072000.5 $x^{4} + 48620 x^{2} + 265781230$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 2, 4, 4, 4, 5592]$ $15.5480298008$
4.0.124764226659072000.7 $x^{4} + 48620 x^{2} + 531246430$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 2, 4, 4, 4, 4808]$ $15.5480298008$
4.0.124764226659072000.9 $x^{4} + 48620 x^{2} + 584339470$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 3032]$ $15.5480298008$
4.0.124764226659072000.10 $x^{4} + 97240 x^{2} + 1063124920$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 8, 2680]$ $15.5480298008$
4.0.124764226659072000.11 $x^{4} + 243100 x^{2} + 1335226750$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 4, 4088]$ $15.5480298008$
4.0.124764226659072000.12 $x^{4} + 97240 x^{2} + 2124985720$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 8, 2256]$ $15.5480298008$
4.0.124764226659072000.13 $x^{4} + 97240 x^{2} + 2337357880$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 2, 4, 4, 4, 9752]$ $15.5480298008$
4.0.124764226659072000.16 $x^{4} + 145860 x^{2} + 4781217870$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 8, 1104]$ $15.5480298008$
4.0.124764226659072000.18 $x^{4} + 243100 x^{2} + 13281160750$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 2, 4, 4, 4, 7944]$ $15.5480298008$
4.0.124764226659072000.20 $x^{4} + 243100 x^{2} + 14608486750$ $2^{11}\cdot 3^{2}\cdot 5^{3}\cdot 7^{2}\cdot 11^{3}\cdot 13^{2}\cdot 17^{3}$ $D_{4}$ (as 4T3) $[2, 4, 4, 4, 8, 1928]$ $15.5480298008$
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