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Label Polynomial Discriminant Galois group Class group Regulator
10.0.442509033472.1 $x^{10} + 2 x^{8} - 2 x^{6} + 10 x^{4} - 32 x^{2} + 22$ $-\,2^{19}\cdot 11\cdot 277^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $75.2422563246$
10.2.985055887360.1 $x^{10} - 6 x^{8} + 10 x^{6} + 4 x^{2} - 10$ $2^{19}\cdot 5\cdot 613^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $196.543674444$
10.0.161243136000000.5 $x^{10} + 2 x^{8} + 4 x^{6} - 24 x^{2} + 24$ $-\,2^{19}\cdot 3^{9}\cdot 5^{6}$ $C_2 \wr S_5$ (as 10T39) trivial $3991.44231146$
10.2.2418647040000000.27 $x^{10} + 6 x^{8} + 24 x^{6} + 80 x^{4} - 240 x^{2} - 1440$ $2^{19}\cdot 3^{10}\cdot 5^{7}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $10657.1863381$
10.0.13060694016000000.16 $x^{10} + 12 x^{8} + 66 x^{6} + 148 x^{4} + 144 x^{2} + 54$ $-\,2^{19}\cdot 3^{13}\cdot 5^{6}$ $C_2 \wr S_5$ (as 10T39) $[3]$ $6810.53013351$
10.0.13060694016000000.28 $x^{10} + 2 x^{8} - 2 x^{6} + 114 x^{4} + 480 x^{2} + 150$ $-\,2^{19}\cdot 3^{13}\cdot 5^{6}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $22246.9742065$
10.2.21767823360000000.12 $x^{10} + 2 x^{8} + 10 x^{6} - 40 x^{4} + 40 x^{2} - 10$ $2^{19}\cdot 3^{12}\cdot 5^{7}$ $C_2 \wr S_5$ (as 10T39) trivial $57620.4973023$
10.2.21767823360000000.15 $x^{10} + 2 x^{8} + 46 x^{6} + 50 x^{4} + 580 x^{2} - 10$ $2^{19}\cdot 3^{12}\cdot 5^{7}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $59608.3466098$
10.0.100...000.30 $x^{10} + 10 x^{8} + 10 x^{6} + 54$ $-\,2^{19}\cdot 3^{9}\cdot 5^{10}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $83118.6241804$
10.0.100...000.64 $x^{10} - 10 x^{8} + 90 x^{6} + 50 x^{4} - 200 x^{2} + 150$ $-\,2^{19}\cdot 3^{9}\cdot 5^{10}$ $C_2 \wr S_5$ (as 10T39) trivial $364032.646401$
10.2.167...000.105 $x^{10} - 10 x^{8} + 40 x^{6} - 240 x^{4} + 720 x^{2} - 1440$ $2^{19}\cdot 3^{8}\cdot 5^{11}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $90878.1631646$
10.2.195...000.18 $x^{10} - 6 x^{8} + 96 x^{6} - 816 x^{4} + 14616 x^{2} - 43560$ $2^{19}\cdot 3^{14}\cdot 5^{7}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $171994.596076$
10.4.279936000000000000.4 $x^{10} + 20 x^{8} - 30 x^{6} + 20 x^{4} - 20 x^{2} + 6$ $-\,2^{19}\cdot 3^{7}\cdot 5^{12}$ $C_2 \wr S_5$ (as 10T39) trivial $695611.434752$
10.4.279...000.22 $x^{10} - 10 x^{8} - 30 x^{6} + 10 x^{4} + 80 x^{2} + 54$ $-\,2^{19}\cdot 3^{7}\cdot 5^{12}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $409123.578505$
10.0.326...000.53 $x^{10} + 20 x^{8} + 160 x^{6} + 960 x^{4} + 1920 x^{2} + 9600$ $-\,2^{19}\cdot 3^{13}\cdot 5^{8}$ $C_2 \wr S_5$ (as 10T39) $[2, 2]$ $28326.7973152$
10.6.466560000000000000.4 $x^{10} - 20 x^{8} + 90 x^{6} - 140 x^{4} + 100 x^{2} - 90$ $2^{19}\cdot 3^{6}\cdot 5^{13}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $500982.321379$
10.2.466...000.12 $x^{10} + 10 x^{8} - 80 x^{6} - 640 x^{4} - 400 x^{2} - 160$ $2^{19}\cdot 3^{6}\cdot 5^{13}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $234293.578137$
10.8.777600000000000000.6 $x^{10} - 30 x^{8} + 260 x^{6} - 480 x^{4} - 440 x^{2} + 1176$ $-\,2^{19}\cdot 3^{5}\cdot 5^{14}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $1478385.4968$
10.4.777600000000000000.9 $x^{10} + 20 x^{8} + 50 x^{6} - 500 x^{4} - 500 x^{2} + 150$ $-\,2^{19}\cdot 3^{5}\cdot 5^{14}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[4]$ $134969.251317$
10.2.129...000.2 $x^{10} + 30 x^{8} + 10 x^{6} - 150 x^{4} - 100 x^{2} - 10$ $2^{19}\cdot 3^{4}\cdot 5^{15}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[2, 14]$ $12847.163568$
10.6.129...000.7 $x^{10} - 10 x^{8} - 40 x^{6} + 400 x^{4} + 400 x^{2} - 160$ $2^{19}\cdot 3^{4}\cdot 5^{15}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[2]$ $1001897.11942$
10.2.151...000.86 $x^{10} - 10 x^{8} + 120 x^{6} - 1200 x^{4} + 5520 x^{2} - 12960$ $2^{19}\cdot 3^{10}\cdot 5^{11}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $526483.258171$
10.0.251...000.38 $x^{10} + 30 x^{6} + 1380 x^{4} + 2340 x^{2} + 486$ $-\,2^{19}\cdot 3^{9}\cdot 5^{12}$ $C_2 \wr S_5$ (as 10T39) $[2, 2]$ $219710.935572$
10.2.419...000.83 $x^{10} + 10 x^{8} - 270 x^{6} - 3240 x^{4} - 5400 x^{2} - 7290$ $2^{19}\cdot 3^{8}\cdot 5^{13}$ $C_2 \wr S_5$ (as 10T39) $[2, 2]$ $159671.735621$
10.0.600...000.1 $x^{10} - 20 x^{8} + 210 x^{6} - 340 x^{4} + 580 x^{2} + 6$ $-\,2^{19}\cdot 3\cdot 5^{18}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $650113.206633$
10.0.226...000.42 $x^{10} + 30 x^{8} + 210 x^{6} - 190 x^{4} - 720 x^{2} + 726$ $-\,2^{19}\cdot 3^{11}\cdot 5^{12}$ $C_2 \wr S_5$ (as 10T39) trivial $2281254.0068$
10.4.226...000.48 $x^{10} - 10 x^{8} - 270 x^{6} - 1390 x^{4} - 2000 x^{2} + 294$ $-\,2^{19}\cdot 3^{11}\cdot 5^{12}$ $C_2 \wr S_5$ (as 10T39) trivial $17804698.8745$
10.4.226...000.76 $x^{10} + 30 x^{8} + 210 x^{6} - 710 x^{4} - 360 x^{2} + 486$ $-\,2^{19}\cdot 3^{11}\cdot 5^{12}$ $C_2 \wr S_5$ (as 10T39) trivial $10638737.3961$
10.4.226...000.139 $x^{10} + 30 x^{8} + 210 x^{6} - 1390 x^{4} - 15720 x^{2} + 9126$ $-\,2^{19}\cdot 3^{11}\cdot 5^{12}$ $C_2 \wr S_5$ (as 10T39) trivial $10024201.4619$
10.2.377...000.46 $x^{10} - 20 x^{8} + 2240 x^{4} - 2200 x^{2} - 60840$ $2^{19}\cdot 3^{10}\cdot 5^{13}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $1559385.61313$
10.0.629...000.74 $x^{10} - 30 x^{8} + 150 x^{6} + 1850 x^{4} + 3000 x^{2} + 1350$ $-\,2^{19}\cdot 3^{9}\cdot 5^{14}$ $C_2 \wr S_5$ (as 10T39) trivial $9474145.9336$
10.0.629...000.154 $x^{10} + 30 x^{8} + 450 x^{6} + 3850 x^{4} + 15000 x^{2} + 12150$ $-\,2^{19}\cdot 3^{9}\cdot 5^{14}$ $C_2 \wr S_5$ (as 10T39) trivial $2265889.02467$
10.0.629...000.187 $x^{10} + 20 x^{8} + 380 x^{6} + 3480 x^{4} + 22920 x^{2} + 32856$ $-\,2^{19}\cdot 3^{9}\cdot 5^{14}$ $C_2 \wr S_5$ (as 10T39) $[5]$ $294893.726304$
10.0.174...000.3 $x^{10} - 10 x^{6} + 30 x^{4} + 60 x^{2} + 6$ $-\,2^{19}\cdot 3^{7}\cdot 5^{16}$ $C_2 \wr S_5$ (as 10T39) trivial $9982026.6233$
10.4.174...000.7 $x^{10} - 10 x^{8} - 270 x^{6} - 1390 x^{4} - 500 x^{2} + 54$ $-\,2^{19}\cdot 3^{7}\cdot 5^{16}$ $C_2 \wr S_5$ (as 10T39) trivial $34754758.7571$
10.4.204...000.79 $x^{10} - 30 x^{8} + 360 x^{6} - 480 x^{4} - 8280 x^{2} + 10584$ $-\,2^{19}\cdot 3^{13}\cdot 5^{12}$ $C_2 \wr S_5$ (as 10T39) trivial $27392013.2244$
10.6.340...000.14 $x^{10} - 60 x^{8} + 1290 x^{6} - 12540 x^{4} + 54000 x^{2} - 75690$ $2^{19}\cdot 3^{12}\cdot 5^{13}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $10179901.4478$
10.2.340...000.75 $x^{10} + 20 x^{8} + 720 x^{6} + 3840 x^{4} - 67200 x^{2} - 51840$ $2^{19}\cdot 3^{12}\cdot 5^{13}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $14914351.9614$
10.2.340...000.81 $x^{10} - 20 x^{8} + 6240 x^{4} + 4800 x^{2} - 51840$ $2^{19}\cdot 3^{12}\cdot 5^{13}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $3258999.20973$
10.2.340...000.186 $x^{10} + 60 x^{8} + 810 x^{6} + 4590 x^{4} + 8100 x^{2} - 7290$ $2^{19}\cdot 3^{12}\cdot 5^{13}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $6314774.59105$
10.0.486...000.14 $x^{10} + 50 x^{8} + 900 x^{6} + 5000 x^{4} + 1000 x^{2} + 600$ $-\,2^{19}\cdot 3^{5}\cdot 5^{18}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $21404020.3361$
10.2.810...000.35 $x^{10} + 400 x^{6} - 4800 x^{4} + 25600 x^{2} - 207360$ $2^{19}\cdot 3^{4}\cdot 5^{19}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $15879676.8365$
10.2.810...000.78 $x^{10} - 450 x^{6} - 9450 x^{4} - 16200 x^{2} - 7290$ $2^{19}\cdot 3^{4}\cdot 5^{19}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) $[2]$ $5020747.74913$
10.2.944...000.52 $x^{10} - 30 x^{8} + 90 x^{6} + 3600 x^{4} + 5400 x^{2} - 292410$ $2^{19}\cdot 3^{10}\cdot 5^{15}$ $C_2 \wr S_5$ (as 10T39) $[10]$ $868841.60774$
10.2.944...000.55 $x^{10} - 60 x^{8} + 1440 x^{6} - 17400 x^{4} + 106200 x^{2} - 262440$ $2^{19}\cdot 3^{10}\cdot 5^{15}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $16297309.3081$
10.2.944...000.63 $x^{10} - 40 x^{8} + 390 x^{6} + 2100 x^{4} - 12000 x^{2} - 198810$ $2^{19}\cdot 3^{10}\cdot 5^{15}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $12695179.0026$
10.6.262...000.4 $x^{10} - 30 x^{8} + 150 x^{6} - 2150 x^{4} + 78600 x^{2} - 428490$ $2^{19}\cdot 3^{8}\cdot 5^{17}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $27165891.3516$
10.2.262...000.71 $x^{10} - 30 x^{8} + 5400 x^{4} - 16200 x^{2} - 262440$ $2^{19}\cdot 3^{8}\cdot 5^{17}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $31321014.5173$
10.4.141...000.5 $x^{10} + 50 x^{8} - 210 x^{6} + 130 x^{4} - 40 x^{2} + 6$ $-\,2^{19}\cdot 3^{11}\cdot 5^{16}$ $C_2 \wr S_5$ (as 10T39) trivial $315414858.891$
10.0.141...000.153 $x^{10} + 60 x^{8} + 1080 x^{6} + 12240 x^{4} + 135000 x^{2} + 561816$ $-\,2^{19}\cdot 3^{11}\cdot 5^{16}$ $C_2 \wr S_5$ (as 10T39) $[2]$ $21075369.3831$
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