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Label Polynomial Discriminant Galois group Class group Regulator
10.4.3120654523.1 $x^{10} - 2 x^{9} + 2 x^{8} - 7 x^{7} + 8 x^{6} - 3 x^{5} + 8 x^{4} - 7 x^{3} + 2 x^{2} - 2 x + 1$ $-\,7^{2}\cdot 43\cdot 1217^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $4.82542435626$
10.4.3191230411.1 $x^{10} - x^{9} - 4 x^{6} - x^{5} - x^{4} + 3 x^{2} + 3 x + 1$ $-\,3191230411$ $S_{10}$ (as 10T45) trivial $4.892791489720255$
10.4.3196989667.1 $x^{10} - x^{9} - x^{8} - 2 x^{7} + x^{6} - 2 x^{4} + x^{3} + x^{2} + 2 x - 1$ $-\,29\cdot 73^{2}\cdot 137\cdot 151$ $S_{10}$ (as 10T45) trivial $4.898963260479714$
10.4.3202088651.1 $x^{10} - 2 x^{9} - x^{8} + 2 x^{7} + 2 x^{6} - 5 x^{4} + 3 x^{3} + 4 x^{2} - 2 x - 1$ $-\,53^{2}\cdot 59\cdot 139^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $4.90098937737$
10.4.3204506051.1 $x^{10} - x^{9} - 2 x^{8} + 2 x^{7} + 3 x^{6} - 4 x^{5} - 2 x^{4} + 2 x^{3} + x + 1$ $-\,3204506051$ $S_{10}$ (as 10T45) trivial $4.907691153330467$
10.4.3209183443.1 $x^{10} - 3 x^{9} + 2 x^{8} + 2 x^{7} - 3 x^{6} + x^{4} + x^{3} - 2 x^{2} + x + 1$ $-\,53\cdot 6091\cdot 9941$ $S_{10}$ (as 10T45) trivial $4.909191013338611$
10.4.3259151627.1 $x^{10} - x^{9} - 2 x^{8} + x^{7} + x^{6} - 2 x^{5} + 4 x^{4} + x^{3} - 5 x^{2} + 1$ $-\,107\cdot 5519^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $4.95867924374$
10.4.3295770139.1 $x^{10} - 2 x^{9} - x^{8} + 7 x^{7} - 7 x^{6} - x^{5} + 9 x^{4} - 6 x^{3} - x^{2} + 3 x - 1$ $-\,11287\cdot 291997$ $S_{10}$ (as 10T45) trivial $4.994678643135897$
10.4.3307392083.1 $x^{10} - x^{9} - 4 x^{8} + 2 x^{7} + 4 x^{6} - x^{4} - 4 x^{3} + 3 x - 1$ $-\,30091\cdot 109913$ $S_{10}$ (as 10T45) trivial $5.005481880274628$
10.4.3312142387.1 $x^{10} - 2 x^{9} - 3 x^{8} + 8 x^{7} - 8 x^{5} + 2 x^{4} + 3 x^{3} + 2 x^{2} - x - 1$ $-\,67\cdot 79^{2}\cdot 89^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $5.00702615919$
10.4.3316535227.1 $x^{10} - x^{7} + x^{6} + 3 x^{5} - 2 x^{3} - 3 x^{2} + x + 1$ $-\,1483\cdot 2236369$ $S_{10}$ (as 10T45) trivial $5.01675572386$
10.4.3338068347.1 $x^{10} - 2 x^{9} - 2 x^{8} + 5 x^{7} + x^{6} - 3 x^{5} - 2 x^{3} - x^{2} + 3 x + 1$ $-\,3^{3}\cdot 11119^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $5.03687290029$
10.4.3342094627.1 $x^{10} - 4 x^{9} + 8 x^{8} - 12 x^{7} + 12 x^{6} - 9 x^{5} + 5 x^{4} - x^{2} + 2 x - 1$ $-\,151\cdot 22133077$ $S_{10}$ (as 10T45) trivial $5.0362191642113645$
10.4.3343581827.1 $x^{10} - 2 x^{9} + 6 x^{7} - 6 x^{6} - x^{5} + 8 x^{4} - 5 x^{3} - x^{2} + 2 x - 1$ $-\,3343581827$ $S_{10}$ (as 10T45) trivial $5.037308830638455$
10.4.3351773171.1 $x^{10} - x^{9} - 2 x^{8} + x^{6} + 3 x^{5} + x^{4} - 3 x^{3} - 2 x^{2} + 2 x + 1$ $-\,3351773171$ $S_{10}$ (as 10T45) trivial $5.043929323872601$
10.4.3367690163.1 $x^{10} - 2 x^{9} + 3 x^{8} - 3 x^{7} - x^{6} + 3 x^{5} - 5 x^{4} + 3 x^{3} - x + 1$ $-\,29\cdot 103\cdot 181\cdot 6229$ $S_{10}$ (as 10T45) trivial $5.061587924899763$
10.4.3385346179.1 $x^{10} - 2 x^{9} + x^{8} + 3 x^{7} - 6 x^{6} + 3 x^{5} + 2 x^{4} - 5 x^{3} + 2 x^{2} + x - 1$ $-\,41\cdot 101\cdot 817519$ $S_{10}$ (as 10T45) trivial $5.080055721571213$
10.4.3385465123.1 $x^{10} - 4 x^{9} + 6 x^{8} - 2 x^{7} - 7 x^{6} + 11 x^{5} - 4 x^{4} - 4 x^{3} + 5 x^{2} - 1$ $-\,3385465123$ $S_{10}$ (as 10T45) trivial $5.079708376740111$
10.4.3393524187.1 $x^{10} - 4 x^{9} + 7 x^{8} - 4 x^{7} - 6 x^{6} + 13 x^{5} - 9 x^{4} - x^{3} + 5 x^{2} - 4 x + 1$ $-\,3^{3}\cdot 1367\cdot 91943$ $S_{10}$ (as 10T45) trivial $5.08516157966$
10.4.3398303207.1 $x^{10} - 3 x^{9} + 3 x^{8} + x^{7} - 5 x^{6} + 8 x^{5} - 15 x^{4} + 13 x^{3} - 5 x^{2} + 2 x + 1$ $-\,13^{2}\cdot 167\cdot 347^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $5.08704229856$
10.4.3405971875.1 $x^{10} - 3 x^{9} + 5 x^{8} - 4 x^{7} - 2 x^{6} + 8 x^{5} - 8 x^{4} + x^{3} + 3 x^{2} - 3 x + 1$ $-\,5^{5}\cdot 1039\cdot 1049$ $S_5^2 \wr C_2$ (as 10T43) trivial $5.09688776432$
10.4.3406095083.1 $x^{10} - x^{9} - x^{8} + 2 x^{7} - 4 x^{6} - 2 x^{5} + 9 x^{4} - 6 x^{2} + 1$ $-\,911\cdot 3738853$ $S_{10}$ (as 10T45) trivial $5.094818911753069$
10.4.3408425011.1 $x^{10} - 3 x^{8} - x^{6} + 5 x^{4} - 4 x^{3} - x^{2} + 3 x - 1$ $-\,1721\cdot 1980491$ $S_{10}$ (as 10T45) trivial $5.098324537600664$
10.4.3409004107.1 $x^{10} - x^{8} - x^{7} - x^{6} - 3 x^{5} + 3 x^{4} + x^{3} + 3 x - 1$ $-\,3409004107$ $S_{10}$ (as 10T45) trivial $5.09993147188$
10.4.3410947967.1 $x^{10} - 2 x^{9} - 2 x^{8} + 7 x^{7} - x^{6} - 8 x^{5} + 2 x^{4} + 6 x^{3} - 3 x - 1$ $-\,7^{2}\cdot 47\cdot 1217^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $5.10029615868$
10.4.3410962979.1 $x^{10} - 3 x^{9} + 5 x^{8} - 3 x^{7} - 3 x^{6} + 8 x^{5} - 5 x^{4} - x^{3} + 4 x^{2} - x - 1$ $-\,41\cdot 619\cdot 134401$ $S_{10}$ (as 10T45) trivial $5.101160460584068$
10.4.3412809931.1 $x^{10} - x^{9} - 2 x^{8} + 5 x^{7} + x^{6} - 8 x^{5} + x^{4} + 7 x^{3} - 3 x^{2} - 3 x + 1$ $-\,89\cdot 103\cdot 372293$ $S_{10}$ (as 10T45) trivial $5.099985297480563$
10.4.3419621875.1 $x^{10} - 3 x^{9} + x^{8} + 6 x^{7} - 9 x^{6} + 2 x^{5} + 6 x^{4} - 5 x^{3} + x^{2} + 1$ $-\,5^{5}\cdot 61\cdot 17939$ $S_5^2 \wr C_2$ (as 10T43) trivial $5.10886306524$
10.4.3428429131.1 $x^{10} - x^{9} - 3 x^{8} + 3 x^{7} + 2 x^{6} - x^{5} - x^{4} - 2 x^{3} + 2 x + 1$ $-\,20323\cdot 168697$ $S_{10}$ (as 10T45) trivial $5.11605477103885$
10.4.3434563283.1 $x^{10} - x^{9} - x^{8} + 2 x^{7} + x^{5} - 3 x^{4} - 2 x^{3} + 3 x^{2} - 1$ $-\,59\cdot 58212937$ $S_{10}$ (as 10T45) trivial $5.118713369156141$
10.4.3444638167.1 $x^{10} - 2 x^{9} + x^{8} + 2 x^{7} - 5 x^{6} + 4 x^{4} - 4 x^{3} - x^{2} + 4 x - 1$ $-\,103\cdot 5783^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $5.12709085999$
10.4.3445999883.1 $x^{10} - 3 x^{8} + x^{6} - 3 x^{5} + 6 x^{4} + 4 x^{3} - 5 x^{2} - x + 1$ $-\,211\cdot 16331753$ $S_{10}$ (as 10T45) trivial $5.130273182623558$
10.4.3451623299.1 $x^{10} - x^{9} - 3 x^{8} + 2 x^{6} + 2 x^{5} - 3 x^{3} + x^{2} + 3 x - 1$ $-\,811\cdot 4256009$ $S_{10}$ (as 10T45) trivial $5.137285709970331$
10.4.3476098739.1 $x^{10} - x^{9} - 2 x^{8} + 4 x^{7} - x^{6} - 3 x^{5} + x^{4} + x^{3} - 2 x + 1$ $-\,3476098739$ $S_{10}$ (as 10T45) trivial $5.163212113578441$
10.4.3479589887.1 $x^{10} - x^{9} + x^{7} + x^{6} - 3 x^{5} - 3 x^{4} + x^{3} + 2 x^{2} + x - 1$ $-\,109\cdot 31922843$ $S_{10}$ (as 10T45) trivial $5.167998094393576$
10.4.3485322811.1 $x^{10} - x^{9} - x^{8} - x^{7} + x^{6} + 5 x^{5} - 5 x^{4} - 3 x^{3} + 4 x^{2} - 1$ $-\,97\cdot 233\cdot 154211$ $S_{10}$ (as 10T45) trivial $5.166269404976212$
10.4.3505569499.1 $x^{10} - x^{9} + x^{8} - x^{7} - x^{6} + 5 x^{5} - 4 x^{4} - x^{3} + 4 x^{2} - x - 1$ $-\,3505569499$ $S_{10}$ (as 10T45) trivial $5.1900689938179765$
10.4.3510827191.1 $x^{10} - 3 x^{9} + 2 x^{8} + x^{7} - 2 x^{6} + 4 x^{5} - 2 x^{4} - 4 x^{3} + 3 x + 1$ $-\,9043\cdot 388237$ $S_{10}$ (as 10T45) trivial $5.195370125131124$
10.4.3514218623.1 $x^{10} - x^{9} + x^{8} - x^{7} - x^{6} - 5 x^{4} + x^{3} + 5 x^{2} - 1$ $-\,47\cdot 8647^{2}$ $C_2 \wr S_5$ (as 10T39) trivial $5.1945142551$
10.4.3521646451.1 $x^{10} - 2 x^{9} - x^{8} + 3 x^{7} + x^{5} - 4 x^{4} - 3 x^{3} + 4 x^{2} + x - 1$ $-\,3521646451$ $S_{10}$ (as 10T45) trivial $5.2130653854923645$
10.4.3526725619.1 $x^{10} - x^{9} - x^{8} - 3 x^{6} + 6 x^{5} + x^{4} - 8 x^{3} + 3 x^{2} + 2 x - 1$ $-\,349\cdot 2707\cdot 3733$ $S_{10}$ (as 10T45) trivial $5.2072598116155815$
10.4.3528835307.1 $x^{10} - x^{9} + x^{8} - 2 x^{7} + x^{6} - 2 x^{5} + 2 x^{3} - 3 x^{2} + 3 x - 1$ $-\,31\cdot 113833397$ $S_{10}$ (as 10T45) trivial $5.213563571367157$
10.4.3531636739.1 $x^{10} - x^{9} + 5 x^{5} - x^{4} - x^{2} - 3 x + 1$ $-\,7933\cdot 445183$ $S_{10}$ (as 10T45) trivial $5.215653226165113$
10.4.3540851199.1 $x^{10} - x^{9} - 3 x^{8} + x^{7} + 4 x^{6} + x^{5} - 5 x^{4} + 3 x^{2} - x - 1$ $-\,3^{3}\cdot 3779\cdot 34703$ $S_{10}$ (as 10T45) trivial $5.219912631781355$
10.4.3547219843.1 $x^{10} - x^{9} - 2 x^{8} + 5 x^{5} + 2 x^{4} - 4 x^{3} - x - 1$ $-\,79\cdot 499\cdot 89983$ $S_{10}$ (as 10T45) trivial $5.22374257856556$
10.4.3548877539.1 $x^{10} - 2 x^{9} + x^{8} - x^{7} + 3 x^{6} - x^{5} - 3 x^{4} - x^{2} + 3 x - 1$ $-\,173\cdot 4373\cdot 4691$ $S_{10}$ (as 10T45) trivial $5.223664969842654$
10.4.3550900883.1 $x^{10} - x^{9} + 2 x^{8} - 2 x^{6} + 3 x^{5} - 4 x^{4} + x^{2} - 2 x + 1$ $-\,3550900883$ $S_{10}$ (as 10T45) trivial $5.231642653765012$
10.4.3554861923.1 $x^{10} - 2 x^{9} - 2 x^{8} + 7 x^{7} - 3 x^{6} - 9 x^{5} + 11 x^{4} - x^{3} - 7 x^{2} + 5 x - 1$ $-\,59\cdot 6577\cdot 9161$ $S_{10}$ (as 10T45) trivial $5.230120826627221$
10.4.3574437551.1 $x^{10} - 3 x^{8} - 2 x^{7} + 3 x^{6} + 3 x^{5} - x^{4} + 2 x^{2} - x - 1$ $-\,647\cdot 5524633$ $S_{10}$ (as 10T45) trivial $5.247975599876225$
10.4.3576073931.1 $x^{10} - x^{9} + 2 x^{8} + 2 x^{7} - x^{6} + 3 x^{5} - x^{4} - x^{3} - 2 x - 1$ $-\,52121\cdot 68611$ $S_{10}$ (as 10T45) trivial $5.251051946288137$
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