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Label Polynomial Discriminant Galois group Class group Regulator
10.2.33811054741.1 $x^{10} - 3 x^{9} + 6 x^{8} - 8 x^{7} + 6 x^{6} - 3 x^{5} - 6 x^{3} + 5 x^{2} - x - 1$ $17^{5}\cdot 23813$ $S_5^2 \wr C_2$ (as 10T43) trivial $26.4704390055$
10.2.45287758872.1 $x^{10} - x^{9} - 2 x^{8} + 2 x^{7} + 5 x^{6} - 2 x^{5} - 6 x^{4} + 6 x^{3} + x^{2} - 3 x + 1$ $2^{3}\cdot 3^{2}\cdot 17^{5}\cdot 443$ $S_5^2 \wr C_2$ (as 10T43) trivial $32.2821809082$
10.2.54653135644.1 $x^{10} - x^{9} + x^{8} - 2 x^{7} + 2 x^{6} + 8 x^{5} - 7 x^{4} - 4 x^{3} + 2 x^{2} - x - 1$ $2^{2}\cdot 17^{5}\cdot 9623$ $S_5^2 \wr C_2$ (as 10T43) trivial $35.3901627333$
10.2.61549381093.1 $x^{10} + 4 x^{8} - 2 x^{7} + 3 x^{6} - 6 x^{5} - x^{4} - 3 x^{3} - 2 x^{2} + x + 1$ $17^{5}\cdot 67\cdot 647$ $S_5^2 \wr C_2$ (as 10T43) trivial $25.9643258543$
10.4.74200306963.1 $x^{10} - x^{9} - 5 x^{8} + 2 x^{7} + 10 x^{6} + 3 x^{5} - 6 x^{4} - 3 x^{3} - 5 x^{2} - 8 x - 1$ $-\,17^{5}\cdot 52259$ $S_5^2 \wr C_2$ (as 10T43) trivial $38.5619056974$
10.4.84065473399.1 $x^{10} - 2 x^{9} - x^{8} + 5 x^{7} + 3 x^{6} - 6 x^{5} - 9 x^{4} - 3 x^{3} + 5 x^{2} + 5 x + 1$ $-\,17^{5}\cdot 59207$ $S_5^2 \wr C_2$ (as 10T43) trivial $33.947229591$
10.4.87497267768.1 $x^{10} - 2 x^{9} + 3 x^{8} - 5 x^{7} + 4 x^{6} - x^{5} - 4 x^{4} + 2 x^{3} - 3 x^{2} + 1$ $-\,2^{3}\cdot 17^{5}\cdot 7703$ $S_5^2 \wr C_2$ (as 10T43) trivial $61.7548758594$
10.4.102324834419.1 $x^{10} - x^{9} - x^{8} + 2 x^{7} + 9 x^{5} - 9 x^{4} - 2 x^{3} + 3 x^{2} - 3 x + 2$ $-\,17^{5}\cdot 19\cdot 3793$ $S_5^2 \wr C_2$ (as 10T43) trivial $65.3106180928$
10.2.104497215629.1 $x^{10} - 3 x^{9} + 5 x^{8} - 5 x^{7} + 4 x^{6} - 5 x^{4} + 7 x^{3} - 3 x^{2} + 1$ $17^{5}\cdot 73597$ $S_5^2 \wr C_2$ (as 10T43) trivial $49.8962374371$
10.2.104900455017.1 $x^{10} - x^{9} + x^{8} + x^{7} - 6 x^{6} - 5 x^{5} - 2 x^{4} + 6 x^{2} + 2 x + 1$ $3^{2}\cdot 17^{5}\cdot 8209$ $S_5^2 \wr C_2$ (as 10T43) trivial $62.0781131855$
10.2.105269617837.1 $x^{10} - x^{9} - x^{8} + x^{7} - 2 x^{5} + 2 x^{2} + x + 1$ $17^{5}\cdot 151\cdot 491$ $S_5^2 \wr C_2$ (as 10T43) trivial $50.5758162441$
10.2.106597184132.1 $x^{10} - 2 x^{9} + 4 x^{8} - 2 x^{7} - 2 x^{6} + 11 x^{5} - 13 x^{4} + 12 x^{3} - 3 x^{2} + x + 1$ $2^{2}\cdot 17^{5}\cdot 137^{2}$ $A_5 \wr C_2$ (as 10T40) trivial $55.782999832$
10.2.110158185488.1 $x^{10} - 3 x^{9} + 10 x^{7} - 9 x^{6} - 10 x^{5} + 16 x^{4} + 2 x^{3} - 12 x^{2} + 2 x + 4$ $2^{4}\cdot 13\cdot 17^{5}\cdot 373$ $S_5^2 \wr C_2$ (as 10T43) trivial $86.852997931$
10.2.6928449225617.1 $x^{10} - 2 x^{9} + 2 x^{8} + 3 x^{7} - 8 x^{6} + 69 x^{5} + 328 x^{4} + 416 x^{3} + 576 x^{2} - 1024$ $17^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) trivial $236.662606941$
10.0.21287041369088.1 $x^{10} - 4 x^{9} + 13 x^{8} - 32 x^{7} + 77 x^{6} - 94 x^{5} + 204 x^{4} - 116 x^{3} + 227 x^{2} - 60 x + 81$ $-\,2^{10}\cdot 11^{4}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[4]$ $454.311256216$
10.2.159806156244017.1 $x^{10} - x^{9} - 18 x^{8} + 16 x^{7} + 152 x^{6} - 88 x^{5} - 787 x^{4} + 87 x^{3} + 2246 x^{2} - 330 x - 2367$ $17^{5}\cdot 103^{4}$ $D_{10}$ (as 10T3) trivial $1443.95891588$
10.10.304358957700017.1 $x^{10} - 3 x^{9} - 26 x^{8} + 68 x^{7} + 210 x^{6} - 464 x^{5} - 526 x^{4} + 987 x^{3} + 166 x^{2} - 389 x + 43$ $11^{8}\cdot 17^{5}$ $C_{10}$ (as 10T1) trivial $6521.45238479$
10.0.325637113603999.1 $x^{10} - 4 x^{9} + 14 x^{8} + 6 x^{7} + 71 x^{6} + 92 x^{5} + 343 x^{4} + 2064 x^{3} + 7651 x^{2} - 24218 x + 86141$ $-\,17^{5}\cdot 47^{5}$ $D_{10}$ (as 10T3) $[16]$ $112.980946837$
10.2.369368189536337.1 $x^{10} - 3 x^{9} - 22 x^{8} + 60 x^{7} + 168 x^{6} - 378 x^{5} - 426 x^{4} + 729 x^{3} + 302 x^{2} - 147 x - 509$ $17^{5}\cdot 127^{4}$ $D_{10}$ (as 10T3) trivial $2397.804043512655$
10.0.1342738182652928.1 $x^{10} - 2 x^{9} + 24 x^{8} - 64 x^{7} + 153 x^{6} - 204 x^{5} + 312 x^{4} - 354 x^{3} + 446 x^{2} - 312 x + 189$ $-\,2^{10}\cdot 17^{5}\cdot 31^{4}$ $D_5\times C_5$ (as 10T6) $[4]$ $5882.15601532$
10.2.1457661659547617.1 $x^{10} - 3 x^{9} - 18 x^{8} + 44 x^{7} + 146 x^{6} - 342 x^{5} - 469 x^{4} + 1113 x^{3} + 752 x^{2} - 2280 x - 376$ $17^{5}\cdot 179^{4}$ $D_{10}$ (as 10T3) trivial $28492.070413966056$
10.2.3049119689998336.5 $x^{10} - 3 x^{9} + 2 x^{8} + 12 x^{7} - 18 x^{6} + 14 x^{5} + 32 x^{4} - 52 x^{3} + 33 x^{2} + 53 x - 42$ $2^{31}\cdot 17^{5}$ $\PGL(2,9)$ (as 10T30) $[2]$ $27550.419446919223$
10.4.3090719637245952.1 $x^{10} - 4 x^{9} - 6 x^{8} + 30 x^{7} - 9 x^{6} + 6 x^{5} - 114 x^{4} + 96 x^{3} + 36 x^{2} + 8 x - 8$ $-\,2^{12}\cdot 3^{12}\cdot 17^{5}$ $(A_6 : C_2) : C_2$ (as 10T35) $[2]$ $35412.7260964$
10.2.3090719637245952.1 $x^{10} - 2 x^{9} - 3 x^{8} + 18 x^{7} - 3 x^{6} - 72 x^{5} + 72 x^{4} + 72 x^{3} - 234 x^{2} - 36 x - 36$ $2^{12}\cdot 3^{12}\cdot 17^{5}$ $\PGL(2,9)$ (as 10T30) $[4]$ $12160.927328$
10.0.7094732007031808.1 $x^{10} - 4 x^{9} + 93 x^{8} - 282 x^{7} + 3306 x^{6} - 7312 x^{5} + 56335 x^{4} - 83126 x^{3} + 459661 x^{2} - 342380 x + 1419025$ $-\,2^{10}\cdot 17^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) $[4]$ $1164.4637415198004$
10.2.14703046783759697.1 $x^{10} - 3 x^{9} - 20 x^{8} + 62 x^{7} + 141 x^{6} - 321 x^{5} - 349 x^{4} - 108 x^{3} + 705 x^{2} + 728 x - 1277$ $11^{4}\cdot 17^{5}\cdot 29^{4}$ $D_{10}$ (as 10T3) trivial $13581.283995974407$
10.0.15785983437159375.1 $x^{10} - 2 x^{9} - 4 x^{8} - 8 x^{7} + 86 x^{6} + 108 x^{5} + 20 x^{4} - 152 x^{3} + 257 x^{2} + 54 x + 664$ $-\,3^{5}\cdot 5^{5}\cdot 11^{4}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[2, 6]$ $15158.4643242$
10.0.16460034093133751.1 $x^{10} - 4 x^{9} + 50 x^{8} - 154 x^{7} + 1139 x^{6} - 2304 x^{5} + 11951 x^{4} - 12904 x^{3} + 63139 x^{2} - 47198 x + 177309$ $-\,17^{5}\cdot 103^{5}$ $D_{10}$ (as 10T3) $[48]$ $689.335115585$
10.0.18174169600000000.1 $x^{10} + 20 x^{8} - 10 x^{7} + 44 x^{6} - 78 x^{5} + 315 x^{4} - 520 x^{3} + 640 x^{2} - 412 x + 155$ $-\,2^{15}\cdot 5^{8}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[4]$ $7657.28864463$
10.2.19882838144847872.1 $x^{10} - 3 x^{9} - 20 x^{8} + 46 x^{7} + 165 x^{6} - 379 x^{5} - 466 x^{4} + 1320 x^{3} + 340 x^{2} - 2500 x + 472$ $2^{12}\cdot 17^{5}\cdot 43^{4}$ $D_{10}$ (as 10T3) trivial $589640.9532270654$
10.4.24725757097967616.1 $x^{10} - 12 x^{8} - 12 x^{7} - 27 x^{6} + 36 x^{5} + 6 x^{4} - 528 x^{3} + 660 x^{2} - 464 x + 120$ $-\,2^{15}\cdot 3^{12}\cdot 17^{5}$ $(A_6 : C_2) : C_2$ (as 10T35) $[2]$ $156817.68029$
10.2.28078226806640625.2 $x^{10} - 5 x^{9} - 10 x^{8} + 60 x^{7} + 80 x^{6} - 502 x^{5} + 10 x^{4} + 1575 x^{3} - 410 x^{2} - 3485 x + 863$ $3^{4}\cdot 5^{12}\cdot 17^{5}$ $D_{10}$ (as 10T3) trivial $16113.34717589745$
10.0.42967621844893696.1 $x^{10} - 2 x^{9} + 7 x^{8} - 94 x^{7} + 284 x^{6} - 152 x^{5} - 199 x^{4} + 30 x^{3} + 325 x^{2} + 102 x + 59$ $-\,2^{15}\cdot 17^{5}\cdot 31^{4}$ $D_5\times C_5$ (as 10T6) $[4]$ $1985.13298107$
10.0.46909760071114799.2 $x^{10} - 2 x^{9} - 59 x^{8} + 102 x^{7} + 1236 x^{6} - 2400 x^{5} - 10137 x^{4} + 30798 x^{3} + 28355 x^{2} - 213106 x + 283337$ $-\,17^{5}\cdot 127^{5}$ $D_{10}$ (as 10T3) $[60]$ $1144.6935984834076$
10.2.54683903946609857.1 $x^{10} - 3 x^{9} - 20 x^{8} + 46 x^{7} + 175 x^{6} - 385 x^{5} - 272 x^{4} + 1538 x^{3} - 891 x^{2} - 751 x - 766$ $17^{5}\cdot 443^{4}$ $D_{10}$ (as 10T3) trivial $191045.3421309618$
10.2.60854149000360625.1 $x^{10} - x^{9} - 18 x^{8} + 28 x^{7} + 142 x^{6} - 6 x^{5} - 819 x^{4} - 679 x^{3} + 2306 x^{2} + 3960 x - 1573$ $5^{4}\cdot 7^{4}\cdot 13^{4}\cdot 17^{5}$ $D_{10}$ (as 10T3) trivial $23623.67177194063$
10.2.106231022663940737.1 $x^{10} - 3 x^{9} - 12 x^{8} + 22 x^{7} + 135 x^{6} - 361 x^{5} - 400 x^{4} + 1930 x^{3} + 781 x^{2} - 5295 x - 1494$ $17^{5}\cdot 523^{4}$ $D_{10}$ (as 10T3) trivial $411280.08400501346$
10.2.159062705158782976.1 $x^{10} + 14 x^{8} - 130 x^{7} - 151 x^{6} + 1468 x^{5} - 11625 x^{4} - 1906 x^{3} + 16250 x^{2} - 120296 x - 160649$ $2^{15}\cdot 17^{5}\cdot 43^{4}$ $D_{10}$ (as 10T3) $[2]$ $46087.56214379965$
10.0.163641503993873408.1 $x^{10} - 4 x^{9} + 95 x^{8} - 290 x^{7} + 3389 x^{6} - 7466 x^{5} + 56570 x^{4} - 81158 x^{3} + 439411 x^{2} - 303856 x + 1247733$ $-\,2^{10}\cdot 17^{5}\cdot 103^{4}$ $D_{10}$ (as 10T3) $[4]$ $18521.84211007535$
10.10.216...625.1 $x^{10} - 5 x^{9} - 30 x^{8} + 140 x^{7} + 230 x^{6} - 1128 x^{5} - 300 x^{4} + 2485 x^{3} - 90 x^{2} - 1345 x + 43$ $5^{16}\cdot 17^{5}$ $C_{10}$ (as 10T1) trivial $202045.615075$
10.0.227031424225017856.1 $x^{10} - 4 x^{9} + 178 x^{8} - 554 x^{7} + 12384 x^{6} - 28494 x^{5} + 421325 x^{4} - 645996 x^{3} + 7006242 x^{2} - 5417424 x + 45432025$ $-\,2^{15}\cdot 17^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) $[4]$ $9974.892309512701$
10.2.227031424225017856.1 $x^{10} - 4 x^{9} - 162 x^{8} + 534 x^{7} + 10752 x^{6} - 26998 x^{5} - 365843 x^{4} + 613636 x^{3} + 6375610 x^{2} - 5259392 x - 45438959$ $2^{15}\cdot 17^{5}\cdot 47^{4}$ $D_{10}$ (as 10T3) $[2]$ $29718.856936331882$
10.0.260921437059023443.1 $x^{10} - 2 x^{9} + 25 x^{8} + 62 x^{7} + 180 x^{6} + 1598 x^{5} + 2625 x^{4} + 13502 x^{3} + 45477 x^{2} - 177128 x + 1104268$ $-\,17^{5}\cdot 179^{5}$ $D_{10}$ (as 10T3) $[12]$ $13601.899912816334$
10.0.311663572684817408.1 $x^{10} - x^{8} - 22 x^{7} + 29 x^{6} + 154 x^{5} - 261 x^{4} - 528 x^{3} + 1840 x^{2} - 1848 x + 637$ $-\,2^{10}\cdot 11^{8}\cdot 17^{5}$ $D_5\times C_5$ (as 10T6) $[5, 20]$ $535.300635925$
10.0.311663572684817408.3 $x^{10} - 2 x^{9} + 78 x^{8} - 122 x^{7} + 2702 x^{6} - 3194 x^{5} + 51055 x^{4} - 41284 x^{3} + 522906 x^{2} - 220904 x + 2319481$ $-\,2^{10}\cdot 11^{8}\cdot 17^{5}$ $C_{10}$ (as 10T1) $[5, 220]$ $26.1711060094$
10.2.333452404330494976.1 $x^{10} - 34 x^{8} + 2601 x^{6} - 39304 x^{4} + 1336336 x^{2} - 66733279$ $2^{10}\cdot 17^{5}\cdot 47^{5}$ $D_{10}$ (as 10T3) $[8]$ $7851.838394446358$
10.0.378233026085209088.2 $x^{10} - 2 x^{9} + 82 x^{8} - 130 x^{7} + 2830 x^{6} - 3310 x^{5} + 50515 x^{4} - 38308 x^{3} + 471774 x^{2} - 175820 x + 1900941$ $-\,2^{10}\cdot 17^{5}\cdot 127^{4}$ $D_{10}$ (as 10T3) $[4]$ $32025.611580889792$
10.0.421173402099609375.2 $x^{10} - 5 x^{9} + 30 x^{8} - 30 x^{7} + 125 x^{6} + 339 x^{5} + 255 x^{4} + 2530 x^{3} + 6025 x^{2} - 2370 x + 53809$ $-\,3^{5}\cdot 5^{13}\cdot 17^{5}$ $D_{10}$ (as 10T3) $[2, 6]$ $7692.390632292783$
10.2.791103937004688125.1 $x^{10} - 5 x^{9} + 8 x^{8} + 99 x^{7} - 173 x^{6} - 282 x^{5} + 3161 x^{4} + 2757 x^{3} + 755 x^{2} + 3731 x - 8827$ $5^{4}\cdot 7^{4}\cdot 13^{5}\cdot 17^{5}$ $D_{10}$ (as 10T3) $[2]$ $333065.12050596706$
10.10.813...441.1 $x^{10} - x^{9} - 142 x^{8} + 142 x^{7} + 7294 x^{6} - 7294 x^{5} - 161875 x^{4} + 161875 x^{3} + 1408980 x^{2} - 1408980 x - 2675243$ $3^{5}\cdot 11^{9}\cdot 17^{5}$ $C_{10}$ (as 10T1) $[2]$ $229963.255287$
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