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Label Polynomial Discriminant Galois group Class group Regulator
10.0.5051514699891.1 $x^{10} - 3 x^{9} + 4 x^{8} + 2 x^{7} - 2 x^{6} - 12 x^{5} + 19 x^{4} + 22 x^{3} + 2 x^{2} - 15 x + 25$ $-\,3^{5}\cdot 11^{4}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[2]$ $138.692708269$
10.0.134775488671875.1 $x^{10} - 3 x^{9} + 8 x^{8} - 15 x^{7} + 18 x^{6} - 5 x^{5} + 35 x^{4} - 35 x^{3} + 25 x^{2} - 35 x + 25$ $-\,3^{5}\cdot 5^{8}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[2]$ $1103.79982329$
10.0.974958898291011.1 $x^{10} - 2 x^{9} + 9 x^{8} + 22 x^{7} + 79 x^{6} + 198 x^{5} + 426 x^{4} + 702 x^{3} + 711 x^{2} + 378 x + 81$ $-\,3^{5}\cdot 17^{5}\cdot 41^{4}$ $D_5\times C_5$ (as 10T6) $[2]$ $13029.064093$
10.0.1683613161824931.1 $x^{10} - x^{9} + 65 x^{8} - 52 x^{7} + 1664 x^{6} - 990 x^{5} + 21008 x^{4} - 7909 x^{3} + 130379 x^{2} - 25923 x + 316525$ $-\,3^{5}\cdot 17^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) $[2]$ $2036.932549397621$
10.0.3347948534700187.1 $x^{10} - x^{9} + 45 x^{8} - 45 x^{7} + 749 x^{6} - 749 x^{5} + 5677 x^{4} - 5677 x^{3} + 19757 x^{2} - 19757 x + 31021$ $-\,11^{9}\cdot 17^{5}$ $C_{10}$ (as 10T1) $[82]$ $26.1711060094$
10.2.21651403830053125.1 $x^{10} - x^{9} - 105 x^{8} + 84 x^{7} + 4452 x^{6} - 2690 x^{5} - 95340 x^{4} + 38467 x^{3} + 1030325 x^{2} - 218023 x - 4481861$ $5^{5}\cdot 17^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) $[2]$ $5473.950579344926$
10.0.38832895967296131.1 $x^{10} - x^{9} + 67 x^{8} - 52 x^{7} + 1716 x^{6} - 1040 x^{5} + 21109 x^{4} - 9161 x^{3} + 123541 x^{2} - 34296 x + 268035$ $-\,3^{5}\cdot 17^{5}\cdot 103^{4}$ $D_{10}$ (as 10T3) $[2]$ $12938.201392799338$
10.0.66522004278400000.1 $x^{10} - 4 x^{9} + 28 x^{8} - 16 x^{7} + 29 x^{6} - 188 x^{5} + 567 x^{4} - 574 x^{3} + 1405 x^{2} - 1088 x + 1369$ $-\,2^{10}\cdot 5^{5}\cdot 11^{4}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[2, 2]$ $5433.55122813$
10.0.73959226721104131.1 $x^{10} - 5 x^{9} + 27 x^{8} - 67 x^{7} + 172 x^{6} - 308 x^{5} + 466 x^{4} - 375 x^{3} + 237 x^{2} - 148 x + 43$ $-\,3^{5}\cdot 11^{8}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[10]$ $2636.97697204$
10.0.73959226721104131.3 $x^{10} - 3 x^{9} + 59 x^{8} - 136 x^{7} + 1570 x^{6} - 2640 x^{5} + 22900 x^{4} - 25193 x^{3} + 182899 x^{2} - 98649 x + 644071$ $-\,3^{5}\cdot 11^{8}\cdot 17^{5}$ $C_{10}$ (as 10T1) $[710]$ $26.1711060094$
10.2.79129818605771757.1 $x^{10} - 4 x^{9} - 20 x^{8} - 28 x^{7} + 1737 x^{6} - 928 x^{5} - 17932 x^{4} - 67262 x^{3} + 378251 x^{2} - 1679797 x - 14311907$ $3^{5}\cdot 17^{5}\cdot 47^{5}$ $D_{10}$ (as 10T3) $[2]$ $7926.526542718642$
10.0.84234680419921875.2 $x^{10} + 35 x^{8} + 615 x^{6} - 531 x^{5} + 8750 x^{4} - 13500 x^{3} + 62500 x^{2} - 56250 x + 84375$ $-\,3^{5}\cdot 5^{12}\cdot 17^{5}$ $D_{10}$ (as 10T3) $[2]$ $86305.74237547872$
10.0.89756470057329891.2 $x^{10} - 3 x^{9} + 63 x^{8} - 144 x^{7} + 1664 x^{6} - 2826 x^{5} + 22626 x^{4} - 26199 x^{3} + 161683 x^{2} - 96333 x + 506193$ $-\,3^{5}\cdot 17^{5}\cdot 127^{4}$ $D_{10}$ (as 10T3) $[2]$ $18848.03411238202$
10.0.116446446134944919.1 $x^{10} - x^{9} + 150 x^{8} - 120 x^{7} + 8940 x^{6} - 5342 x^{5} + 264720 x^{4} - 103925 x^{3} + 3892292 x^{2} - 765661 x + 22707871$ $-\,7^{5}\cdot 17^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) $[10]$ $2232.4026982970654$
10.0.133799511432265591.1 $x^{10} - 4 x^{9} + 31 x^{8} - 73 x^{7} + 242 x^{6} - 529 x^{5} + 1966 x^{4} - 4911 x^{3} + 16327 x^{2} - 15540 x + 8125$ $-\,11^{4}\cdot 17^{5}\cdot 23^{5}$ $D_5\times C_5$ (as 10T6) $[14]$ $10536.5347088$
10.10.138...000.1 $x^{10} - 2 x^{9} - 28 x^{8} + 54 x^{7} + 222 x^{6} - 320 x^{5} - 781 x^{4} + 496 x^{3} + 1192 x^{2} + 186 x - 179$ $2^{10}\cdot 3^{5}\cdot 5^{8}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[2]$ $142715.404658$
10.2.140391134033203125.2 $x^{10} - 5 x^{9} + 25 x^{8} + 55 x^{7} - 365 x^{6} + 1438 x^{5} + 1560 x^{4} - 14370 x^{3} + 2475 x^{2} + 41670 x + 11151$ $3^{4}\cdot 5^{13}\cdot 17^{5}$ $D_{10}$ (as 10T3) $[2]$ $190679.39415760926$
10.0.161733514621356667.1 $x^{10} - 2 x^{9} + 8 x^{8} - 79 x^{7} + 11 x^{6} + 836 x^{5} + 282 x^{4} - 5382 x^{3} + 8209 x^{2} - 26290 x + 41459$ $-\,11^{5}\cdot 17^{5}\cdot 29^{4}$ $D_{10}$ (as 10T3) $[2]$ $31464.47059570473$
10.2.304270745001803125.1 $x^{10} - 2 x^{9} - 45 x^{8} + 124 x^{7} + 783 x^{6} - 2595 x^{5} - 6156 x^{4} + 26030 x^{3} + 15555 x^{2} - 129279 x + 112769$ $5^{5}\cdot 7^{4}\cdot 13^{4}\cdot 17^{5}$ $D_{10}$ (as 10T3) $[2]$ $46420.31547136679$
10.0.354211783270070931.1 $x^{10} - 3 x^{9} + 67 x^{8} - 160 x^{7} + 1778 x^{6} - 2926 x^{5} + 22821 x^{4} - 20511 x^{3} + 142175 x^{2} - 49642 x + 362812$ $-\,3^{5}\cdot 17^{5}\cdot 179^{4}$ $D_{10}$ (as 10T3) $[2]$ $53335.70075979619$
10.10.357...016.1 $x^{10} - 4 x^{9} - 28 x^{8} + 90 x^{7} + 306 x^{6} - 650 x^{5} - 1403 x^{4} + 1806 x^{3} + 2092 x^{2} - 2006 x - 251$ $2^{10}\cdot 7^{5}\cdot 11^{4}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[2]$ $108985.793504$
10.0.425979043002524375.1 $x^{10} - 2 x^{9} + 14 x^{8} - 111 x^{7} + 441 x^{6} - 1336 x^{5} + 5364 x^{4} - 6422 x^{3} + 9136 x^{2} - 7895 x + 14975$ $-\,5^{4}\cdot 7^{5}\cdot 13^{4}\cdot 17^{5}$ $D_{10}$ (as 10T3) $[10]$ $10003.777081326925$
10.2.426388356729031213.1 $x^{10} - 3 x^{9} - 14 x^{8} + 73 x^{7} - 380 x^{6} + 1903 x^{5} - 6389 x^{4} + 19528 x^{3} - 55515 x^{2} + 107998 x - 93621$ $11^{4}\cdot 17^{5}\cdot 29^{5}$ $D_{10}$ (as 10T3) $[2]$ $148185.4279549506$
10.2.499394238262553125.1 $x^{10} - x^{9} - 103 x^{8} + 84 x^{7} + 4368 x^{6} - 2604 x^{5} - 95511 x^{4} + 34767 x^{3} + 1072787 x^{2} - 180224 x - 4908329$ $5^{5}\cdot 17^{5}\cdot 103^{4}$ $D_{10}$ (as 10T3) $[2]$ $86583.9172639606$
10.0.595146407909049887.1 $x^{10} - 24 x^{7} - 134 x^{6} - 56 x^{5} + 671 x^{4} + 2662 x^{3} + 418 x^{2} - 1518 x + 13959$ $-\,11^{4}\cdot 17^{5}\cdot 31^{5}$ $D_5\times C_5$ (as 10T6) $[18]$ $16721.9460662$
10.10.951...125.1 $x^{10} - 3 x^{9} - 111 x^{8} + 272 x^{7} + 4630 x^{6} - 8692 x^{5} - 89844 x^{4} + 115023 x^{3} + 806969 x^{2} - 527525 x - 2697619$ $5^{5}\cdot 11^{8}\cdot 17^{5}$ $C_{10}$ (as 10T1) $[2]$ $169475.990818$
10.0.101...875.1 $x^{10} - 4 x^{9} + 48 x^{8} + 40 x^{7} + 3607 x^{6} - 622 x^{5} + 71794 x^{4} + 289296 x^{3} + 3507339 x^{2} - 13770605 x + 215932795$ $-\,5^{5}\cdot 17^{5}\cdot 47^{5}$ $D_{10}$ (as 10T3) $[2, 14]$ $2477.6319988018627$
10.10.108...125.1 $x^{10} - 90 x^{8} - 20 x^{7} + 2175 x^{6} + 1341 x^{5} - 15150 x^{4} - 4345 x^{3} + 34365 x^{2} - 8575 x - 2401$ $5^{17}\cdot 17^{5}$ $C_{10}$ (as 10T1) $[2]$ $826651.221866$
10.0.111...467.1 $x^{10} - x^{9} + 235 x^{8} - 188 x^{7} + 21996 x^{6} - 13162 x^{5} + 1025164 x^{4} - 405709 x^{3} + 23786185 x^{2} - 4695959 x + 219691631$ $-\,11^{5}\cdot 17^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) $[2]$ $25409.356590500804$
10.2.172...344.1 $x^{10} - 4 x^{9} - 247 x^{8} + 806 x^{7} + 24794 x^{6} - 61304 x^{5} - 1264905 x^{4} + 2087434 x^{3} + 32784277 x^{2} - 26779284 x - 345033155$ $2^{10}\cdot 3^{5}\cdot 17^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) $[2]$ $96135.98763860835$
10.10.240...737.1 $x^{10} - 2 x^{9} - 42 x^{8} + 84 x^{7} + 253 x^{6} - 541 x^{5} + 119 x^{4} + 166 x^{3} - 32 x^{2} - 6 x + 1$ $11^{4}\cdot 17^{5}\cdot 41^{5}$ $D_5\times C_5$ (as 10T6) $[6]$ $80502.0237982$
10.10.342...488.1 $x^{10} - 187 x^{8} + 12716 x^{6} - 378301 x^{4} + 4593655 x^{2} - 15618427$ $2^{10}\cdot 11^{9}\cdot 17^{5}$ $C_{10}$ (as 10T1) $[2]$ $556257.313338$
10.2.395...625.2 $x^{10} - x^{9} - 61 x^{8} + 163 x^{7} + 1441 x^{6} - 7040 x^{5} - 5179 x^{4} + 77155 x^{3} - 133895 x^{2} + 130300 x - 186125$ $5^{5}\cdot 7^{4}\cdot 13^{5}\cdot 17^{5}$ $D_{10}$ (as 10T3) $[2, 2]$ $109545.21455449503$
10.2.399...493.1 $x^{10} - 4 x^{9} - 120 x^{8} + 424 x^{7} + 8109 x^{6} - 19780 x^{5} - 279242 x^{4} + 383604 x^{3} + 5139441 x^{2} - 4481631 x - 31925763$ $3^{5}\cdot 17^{5}\cdot 103^{5}$ $D_{10}$ (as 10T3) $[2]$ $136155.85010495863$
10.2.416...125.2 $x^{10} - 5 x^{9} - 65 x^{8} + 250 x^{7} + 2180 x^{6} - 6828 x^{5} - 25125 x^{4} + 29505 x^{3} + 156905 x^{2} + 232750 x + 155036$ $5^{13}\cdot 7^{4}\cdot 17^{5}$ $D_{10}$ (as 10T3) $[2]$ $755141.1140280436$
10.0.511...719.1 $x^{10} - 2 x^{9} - 7 x^{8} - 151 x^{7} + 82 x^{6} + 606 x^{5} + 10415 x^{4} + 29484 x^{3} + 80336 x^{2} + 113712 x + 93776$ $-\,7^{5}\cdot 11^{8}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[50]$ $45344.403693$
10.0.511...719.2 $x^{10} - 2 x^{9} - 7 x^{8} + 190 x^{7} - 556 x^{6} + 540 x^{5} + 8963 x^{4} - 39002 x^{3} + 117923 x^{2} - 171210 x + 250317$ $-\,7^{5}\cdot 11^{8}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[50]$ $45472.92481$
10.0.511...719.3 $x^{10} - 3 x^{9} + 144 x^{8} - 340 x^{7} + 8710 x^{6} - 15220 x^{5} + 275214 x^{4} - 317253 x^{3} + 4538792 x^{2} - 2590985 x + 31306529$ $-\,7^{5}\cdot 11^{8}\cdot 17^{5}$ $C_{10}$ (as 10T1) $[3550]$ $26.1711060094$
10.2.547...193.1 $x^{10} - 4 x^{9} - 54 x^{8} - 62 x^{7} + 8605 x^{6} - 3682 x^{5} - 218855 x^{4} - 832500 x^{3} + 11929683 x^{2} - 50868362 x - 1049419229$ $7^{5}\cdot 17^{5}\cdot 47^{5}$ $D_{10}$ (as 10T3) $[2]$ $119873.93699981837$
10.0.553...875.1 $x^{10} - x^{9} + 55 x^{8} + 111 x^{7} + 1199 x^{6} + 4208 x^{5} + 36189 x^{4} + 6203 x^{3} + 654186 x^{2} - 180985 x + 3639923$ $-\,5^{4}\cdot 7^{5}\cdot 13^{5}\cdot 17^{5}$ $D_{10}$ (as 10T3) $[2, 6]$ $21010.869086088678$
10.0.582...375.2 $x^{10} + 30 x^{8} - 115 x^{7} - 90 x^{6} - 1144 x^{5} + 17175 x^{4} - 69860 x^{3} + 148330 x^{2} - 172725 x + 97510$ $-\,5^{12}\cdot 7^{5}\cdot 17^{5}$ $D_{10}$ (as 10T3) $[10]$ $341793.6937148357$
10.2.113...157.1 $x^{10} - 22 x^{8} - 37 x^{7} - 1682 x^{6} + 7576 x^{5} - 253478 x^{4} + 501803 x^{3} - 6708562 x^{2} + 652131 x - 33398759$ $3^{5}\cdot 17^{5}\cdot 127^{5}$ $D_{10}$ (as 10T3) $[2]$ $285562.225063167$
10.0.375...047.2 $x^{10} - x^{9} + 126 x^{8} + 140 x^{7} + 3959 x^{6} + 9931 x^{5} + 51875 x^{4} + 157846 x^{3} + 299399 x^{2} + 677020 x + 795857$ $-\,17^{5}\cdot 31^{9}$ $C_{10}$ (as 10T1) $[738]$ $485.913224212$
10.0.514...875.2 $x^{10} - 4 x^{9} + 220 x^{8} - 732 x^{7} + 24803 x^{6} - 55922 x^{5} + 1373600 x^{4} - 1712802 x^{3} + 40038469 x^{2} - 32715163 x + 467780839$ $-\,5^{5}\cdot 17^{5}\cdot 103^{5}$ $D_{10}$ (as 10T3) $[2, 10]$ $39189.81015361561$
10.2.524...949.1 $x^{10} - 4 x^{9} - 88 x^{8} - 96 x^{7} + 20675 x^{6} - 8170 x^{5} - 838250 x^{4} - 3207468 x^{3} + 74044555 x^{2} - 312018197 x - 10214621953$ $11^{5}\cdot 17^{5}\cdot 47^{5}$ $D_{10}$ (as 10T3) $[6]$ $168211.75558763996$
10.0.526...875.2 $x^{10} + 70 x^{8} - 50 x^{7} + 1645 x^{6} - 1800 x^{5} + 16600 x^{4} - 12250 x^{3} + 32090 x^{2} - 10500 x + 35101$ $-\,3^{5}\cdot 5^{16}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[5, 10]$ $12750.4172436$
10.0.526...875.3 $x^{10} - 5 x^{9} + 55 x^{8} - 180 x^{7} + 1520 x^{6} - 4194 x^{5} + 28450 x^{4} - 60765 x^{3} + 300685 x^{2} - 343045 x + 1254193$ $-\,3^{5}\cdot 5^{16}\cdot 17^{5}$ $C_{10}$ (as 10T1) $[5, 310]$ $257.113789169$
10.2.634...649.1 $x^{10} - 2 x^{9} - 77 x^{8} - 176 x^{7} + 3580 x^{6} + 13838 x^{5} - 60003 x^{4} - 452978 x^{3} - 299793 x^{2} - 14107370 x - 232834364$ $3^{5}\cdot 17^{5}\cdot 179^{5}$ $D_{10}$ (as 10T3) $[2]$ $3589496.716665954$
10.10.757...144.1 $x^{10} - 2 x^{9} - 262 x^{8} + 422 x^{7} + 26638 x^{6} - 32162 x^{5} - 1311529 x^{4} + 1046444 x^{3} + 31235106 x^{2} - 12245208 x - 287762399$ $2^{10}\cdot 3^{5}\cdot 11^{8}\cdot 17^{5}$ $C_{10}$ (as 10T1) $[2]$ $958270.006874$
10.0.810...168.1 $x^{10} + 102 x^{8} + 23409 x^{6} + 1061208 x^{4} + 108243216 x^{2} + 16216186797$ $-\,2^{10}\cdot 3^{5}\cdot 17^{5}\cdot 47^{5}$ $D_{10}$ (as 10T3) $[2, 2, 8]$ $20876.11785903589$
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