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Label Polynomial Discriminant Galois group Class group Regulator
18.0.111...168.1 $x^{18} - 4 x^{17} + 14 x^{16} - 31 x^{15} + 64 x^{14} - 100 x^{13} + 146 x^{12} - 176 x^{11} + 202 x^{10} - 205 x^{9} + 202 x^{8} - 176 x^{7} + 146 x^{6} - 100 x^{5} + 64 x^{4} - 31 x^{3} + 14 x^{2} - 4 x + 1$ $-\,2^{12}\cdot 3^{9}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) trivial $64.801283476$
18.0.252...912.1 $x^{18} - 9 x^{17} + 36 x^{16} - 81 x^{15} + 105 x^{14} - 63 x^{13} - 21 x^{12} + 72 x^{11} - 63 x^{10} + 27 x^{9} - 6 x^{6} - 9 x^{5} + 18 x^{4} - 9 x^{2} + 3$ $-\,2^{12}\cdot 3^{31}$ $S_3 \times C_3$ (as 18T3) trivial $404.056392969$
18.0.405...267.1 $x^{18} - 3 x^{15} + 15 x^{12} + 20 x^{9} + 33 x^{6} + 6 x^{3} + 1$ $-\,3^{39}$ $S_3 \times C_3$ (as 18T3) trivial $529.942929585$
18.0.610...264.1 $x^{18} + 5 x^{16} + 12 x^{14} + 29 x^{12} + 55 x^{10} + 57 x^{8} + 39 x^{6} + 22 x^{4} + 8 x^{2} + 1$ $-\,2^{18}\cdot 13^{12}$ $S_3 \times C_3$ (as 18T3) trivial $132.794513852$
18.0.379...168.1 $x^{18} + 6 x^{16} - 4 x^{15} + 15 x^{14} - 12 x^{13} + 38 x^{12} - 54 x^{11} + 84 x^{10} - 84 x^{9} + 84 x^{8} - 54 x^{7} + 38 x^{6} - 12 x^{5} + 15 x^{4} - 4 x^{3} + 6 x^{2} + 1$ $-\,2^{27}\cdot 3^{24}$ $S_3 \times C_3$ (as 18T3) trivial $182.9899199$
18.0.435...963.1 $x^{18} - x^{17} + 4 x^{16} - x^{15} + 12 x^{14} - 9 x^{13} + 12 x^{12} - 18 x^{11} + 26 x^{10} - 12 x^{9} - 4 x^{8} - 5 x^{7} + 31 x^{6} - 17 x^{5} - 3 x^{4} + 5 x^{2} - 3 x + 1$ $-\,3^{9}\cdot 19^{12}$ $S_3 \times C_3$ (as 18T3) trivial $527.323608131$
18.0.144...803.2 $x^{18} - 9 x^{17} + 36 x^{16} - 80 x^{15} + 114 x^{14} - 132 x^{13} + 151 x^{12} - 138 x^{11} + 99 x^{10} - 73 x^{9} + 30 x^{8} - 6 x^{7} + 25 x^{6} + 30 x^{5} + 48 x^{4} + 36 x^{3} + 21 x^{2} + 21 x + 7$ $-\,3^{21}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) trivial $1570.26677096$
18.0.485...104.1 $x^{18} + 3 x^{16} - 3 x^{14} - 12 x^{12} - 12 x^{10} + 3 x^{8} + 63 x^{6} + 3 x^{4} + 6 x^{2} + 1$ $-\,2^{18}\cdot 3^{32}$ $S_3 \times C_3$ (as 18T3) trivial $1555.42165689$
18.0.665...371.1 $x^{18} - 3 x^{17} + 6 x^{16} - 9 x^{15} - 12 x^{14} + 30 x^{13} - 19 x^{12} + 9 x^{11} + 30 x^{10} + 22 x^{9} + 93 x^{8} - 15 x^{7} + 95 x^{6} + 24 x^{5} + 99 x^{4} + 15 x^{3} + 21 x^{2} - 9 x + 1$ $-\,3^{24}\cdot 11^{9}$ $S_3 \times C_3$ (as 18T3) trivial $550.447518763$
18.0.115...375.1 $x^{18} - 5 x^{17} + 16 x^{16} - 34 x^{15} + 63 x^{14} - 91 x^{13} + 92 x^{12} - 7 x^{11} - 128 x^{10} + 193 x^{9} - 128 x^{8} - 7 x^{7} + 92 x^{6} - 91 x^{5} + 63 x^{4} - 34 x^{3} + 16 x^{2} - 5 x + 1$ $-\,5^{12}\cdot 7^{15}$ $S_3 \times C_3$ (as 18T3) trivial $13425.8394152$
18.0.120...375.1 $x^{18} - 6 x^{17} + 21 x^{16} - 51 x^{15} + 87 x^{14} - 102 x^{13} + 48 x^{12} + 90 x^{11} - 234 x^{10} + 298 x^{9} - 156 x^{8} - 120 x^{7} + 354 x^{6} - 384 x^{5} + 273 x^{4} - 132 x^{3} + 45 x^{2} - 9 x + 1$ $-\,3^{31}\cdot 5^{9}$ $S_3 \times C_3$ (as 18T3) $[2]$ $1012.11392421$
18.0.187...208.1 $x^{18} - 6 x^{17} + 22 x^{16} - 59 x^{15} + 110 x^{14} - 126 x^{13} + 64 x^{12} + 20 x^{11} - 28 x^{10} + 5 x^{9} - 28 x^{8} + 20 x^{7} + 64 x^{6} - 126 x^{5} + 110 x^{4} - 59 x^{3} + 22 x^{2} - 6 x + 1$ $-\,2^{12}\cdot 3^{9}\cdot 13^{12}$ $S_3 \times C_3$ (as 18T3) trivial $3594.02576505$
18.0.446...579.1 $x^{18} - 4 x^{17} + 7 x^{16} - 11 x^{15} + 37 x^{14} - 22 x^{13} + 71 x^{12} + 33 x^{11} + 204 x^{10} + 118 x^{9} + 305 x^{8} + 169 x^{7} + 216 x^{6} + 59 x^{5} + 84 x^{4} + 8 x^{3} + 12 x^{2} + x + 1$ $-\,7^{12}\cdot 19^{9}$ $S_3 \times C_3$ (as 18T3) trivial $1060.85049787$
18.0.708...000.1 $x^{18} - 6 x^{17} + 28 x^{16} - 102 x^{15} + 296 x^{14} - 696 x^{13} + 1429 x^{12} - 2684 x^{11} + 4639 x^{10} - 7178 x^{9} + 9523 x^{8} - 10268 x^{7} + 8521 x^{6} - 5202 x^{5} + 2254 x^{4} - 672 x^{3} + 133 x^{2} - 16 x + 1$ $-\,2^{18}\cdot 5^{9}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) $[2]$ $1403.6050065$
18.0.165...632.1 $x^{18} - 9 x^{17} + 45 x^{16} - 150 x^{15} + 369 x^{14} - 711 x^{13} + 1119 x^{12} - 1449 x^{11} + 1458 x^{10} - 944 x^{9} + 135 x^{8} + 261 x^{7} + 69 x^{6} - 459 x^{5} + 279 x^{4} + 87 x^{3} - 99 x^{2} - 36 x + 37$ $-\,2^{12}\cdot 3^{39}$ $S_3 \times C_3$ (as 18T3) trivial $47261.4483684$
18.0.165...632.2 $x^{18} - 12 x^{15} + 132 x^{12} - 160 x^{9} + 240 x^{6} + 96 x^{3} + 64$ $-\,2^{12}\cdot 3^{39}$ $S_3 \times C_3$ (as 18T3) trivial $67625.9042436$
18.0.234...951.1 $x^{18} - 6 x^{17} + 19 x^{16} - 34 x^{15} + 42 x^{14} - 34 x^{13} + 20 x^{12} + 20 x^{11} - 97 x^{10} + 148 x^{9} - 131 x^{8} - 30 x^{7} + 251 x^{6} - 76 x^{5} - 53 x^{4} + 8 x^{3} + 11 x^{2} + 4 x + 1$ $-\,31^{15}$ $S_3 \times C_3$ (as 18T3) $[3]$ $2615.01137266$
18.0.249...063.1 $x^{18} - 3 x^{17} + 7 x^{16} - 8 x^{15} + 35 x^{14} - 28 x^{13} + 110 x^{12} - 162 x^{11} + 286 x^{10} - 260 x^{9} + 262 x^{8} - 100 x^{7} + 124 x^{6} - 126 x^{5} + 105 x^{4} - 43 x^{3} + 21 x^{2} - 6 x + 1$ $-\,7^{12}\cdot 23^{9}$ $S_3 \times C_3$ (as 18T3) $[3]$ $2564.16185262$
18.0.365...024.1 $x^{18} + 2 x^{16} - 6 x^{14} - 30 x^{12} - 19 x^{10} + 292 x^{8} + 337 x^{6} + 66 x^{4} + 540 x^{2} + 216$ $-\,2^{27}\cdot 3^{9}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) $[2]$ $2614.29263124$
18.0.379...000.1 $x^{18} - 6 x^{17} + 26 x^{16} - 79 x^{15} + 210 x^{14} - 448 x^{13} + 876 x^{12} - 1414 x^{11} + 2146 x^{10} - 2653 x^{9} + 3166 x^{8} - 2968 x^{7} + 2738 x^{6} - 1960 x^{5} + 1344 x^{4} - 753 x^{3} + 318 x^{2} - 34 x + 71$ $-\,2^{12}\cdot 5^{9}\cdot 7^{15}$ $S_3 \times C_3$ (as 18T3) $[2]$ $4110.54115806$
18.0.621...704.1 $x^{18} - x^{17} - 11 x^{16} + 29 x^{15} + 13 x^{14} - 181 x^{13} + 260 x^{12} + 223 x^{11} - 970 x^{10} + 567 x^{9} + 1007 x^{8} - 1329 x^{7} + 46 x^{6} + 692 x^{5} - 526 x^{4} + 5 x^{3} + 348 x^{2} - 173 x + 83$ $-\,2^{12}\cdot 19^{15}$ $S_3 \times C_3$ (as 18T3) trivial $6329.31955748$
18.0.665...875.1 $x^{18} - 9 x^{17} + 43 x^{16} - 140 x^{15} + 353 x^{14} - 735 x^{13} + 1291 x^{12} - 1909 x^{11} + 2255 x^{10} - 1903 x^{9} + 935 x^{8} - 61 x^{7} - 215 x^{6} + 87 x^{5} + 35 x^{4} - 38 x^{3} + 13 x^{2} - 3 x + 1$ $-\,3^{9}\cdot 5^{12}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) trivial $21968.4785291$
18.0.747...487.1 $x^{18} - 6 x^{17} + 12 x^{16} + 3 x^{15} - 42 x^{14} + 33 x^{13} + 96 x^{12} - 225 x^{11} + 168 x^{10} + 85 x^{9} - 264 x^{8} + 381 x^{7} - 150 x^{6} - 153 x^{5} + 327 x^{4} - 243 x^{3} + 114 x^{2} - 36 x + 8$ $-\,3^{32}\cdot 7^{9}$ $S_3 \times C_3$ (as 18T3) trivial $12481.7713737$
18.0.829...416.1 $x^{18} + 6 x^{16} - 12 x^{15} + 21 x^{14} - 72 x^{13} + 144 x^{12} - 282 x^{11} + 462 x^{10} - 620 x^{9} + 864 x^{8} - 1122 x^{7} + 1206 x^{6} - 948 x^{5} + 549 x^{4} - 228 x^{3} + 66 x^{2} - 12 x + 1$ $-\,2^{27}\cdot 3^{31}$ $S_3 \times C_3$ (as 18T3) $[2]$ $5165.75638936$
18.0.129...923.1 $x^{18} - 3 x^{17} + 5 x^{16} + 3 x^{14} - 47 x^{13} + 109 x^{12} - 65 x^{11} - 52 x^{10} + 192 x^{9} + 188 x^{8} + 192 x^{7} + 210 x^{6} + 135 x^{5} + 72 x^{4} + 41 x^{3} + 10 x^{2} - x + 1$ $-\,3^{9}\cdot 37^{12}$ $S_3 \times C_3$ (as 18T3) trivial $25740.6797756$
18.0.133...536.1 $x^{18} - x^{17} + 8 x^{16} - 13 x^{15} + 21 x^{14} - 27 x^{13} + 19 x^{12} + 22 x^{11} + 61 x^{10} + 85 x^{9} + 160 x^{8} - 26 x^{7} + 166 x^{6} - 87 x^{5} + 56 x^{4} - 34 x^{3} + 11 x^{2} - 2 x + 1$ $-\,2^{12}\cdot 7^{12}\cdot 11^{9}$ $S_3 \times C_3$ (as 18T3) trivial $6989.09727608$
18.0.144...000.1 $x^{18} - 3 x^{16} - 6 x^{14} + 33 x^{10} + 273 x^{8} - 19 x^{6} + 225 x^{4} + 675 x^{2} + 125$ $-\,2^{18}\cdot 3^{24}\cdot 5^{9}$ $S_3 \times C_3$ (as 18T3) $[2]$ $4680.41018868$
18.0.150...875.2 $x^{18} - 9 x^{17} + 39 x^{16} - 102 x^{15} + 207 x^{14} - 399 x^{13} + 723 x^{12} - 1089 x^{11} + 1371 x^{10} - 1465 x^{9} + 1314 x^{8} - 699 x^{7} + 231 x^{6} + 342 x^{5} - 336 x^{4} + 336 x^{3} - 144 x^{2} - 96 x + 64$ $-\,3^{31}\cdot 5^{12}$ $S_3 \times C_3$ (as 18T3) trivial $111472.114435$
18.0.243...643.1 $x^{18} - 9 x^{17} + 45 x^{16} - 150 x^{15} + 369 x^{14} - 711 x^{13} + 1114 x^{12} - 1473 x^{11} + 1956 x^{10} - 3127 x^{9} + 5337 x^{8} - 7785 x^{7} + 8797 x^{6} - 7140 x^{5} + 3858 x^{4} - 1187 x^{3} + 264 x^{2} - 15 x + 25$ $-\,3^{21}\cdot 13^{12}$ $S_3 \times C_3$ (as 18T3) trivial $61890.554687$
18.0.297...208.1 $x^{18} - 4 x^{16} + 45 x^{14} + 176 x^{12} + 362 x^{10} + 500 x^{8} + 369 x^{6} + 218 x^{4} + 72 x^{2} + 8$ $-\,2^{27}\cdot 19^{12}$ $S_3 \times C_3$ (as 18T3) trivial $19772.5679745$
18.0.365...871.1 $x^{18} - 3 x^{17} + 17 x^{16} - 30 x^{15} + 79 x^{14} - 126 x^{13} + 174 x^{12} - 66 x^{11} + 224 x^{10} - 138 x^{9} + 476 x^{8} - 384 x^{7} + 454 x^{6} - 294 x^{5} + 193 x^{4} - 93 x^{3} + 33 x^{2} - 6 x + 1$ $-\,7^{12}\cdot 31^{9}$ $S_3 \times C_3$ (as 18T3) $[3]$ $7064.88214687$
18.0.508...703.2 $x^{18} + 3 x^{16} - 3 x^{15} + 45 x^{14} - 60 x^{13} + 254 x^{12} - 198 x^{11} + 450 x^{10} - 400 x^{9} + 468 x^{8} - 534 x^{7} + 956 x^{6} - 774 x^{5} + 405 x^{4} - 138 x^{3} + 45 x^{2} - 9 x + 1$ $-\,3^{24}\cdot 23^{9}$ $S_3 \times C_3$ (as 18T3) $[3]$ $8598.44783956$
18.0.593...088.3 $x^{18} - 3 x^{17} - 18 x^{16} + 47 x^{15} + 135 x^{14} - 273 x^{13} - 435 x^{12} + 858 x^{11} + 651 x^{10} - 1545 x^{9} - 168 x^{8} + 1170 x^{7} - 106 x^{6} - 441 x^{5} + 60 x^{4} + 82 x^{3} - 9 x^{2} - 6 x + 1$ $-\,2^{12}\cdot 3^{21}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) $[3]$ $20971.2187411$
18.0.593...088.5 $x^{18} - 9 x^{17} + 45 x^{16} - 140 x^{15} + 294 x^{14} - 426 x^{13} + 498 x^{12} - 792 x^{11} + 1791 x^{10} - 3423 x^{9} + 4887 x^{8} - 5184 x^{7} + 4514 x^{6} - 5658 x^{5} + 9858 x^{4} - 11200 x^{3} + 6153 x^{2} - 1209 x + 169$ $-\,2^{12}\cdot 3^{21}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) $[3]$ $51834.4889774$
18.0.134...583.2 $x^{18} - 3 x^{16} - 7 x^{15} + 9 x^{14} + 42 x^{13} - 6 x^{12} - 126 x^{11} - 108 x^{10} + 140 x^{9} + 450 x^{8} + 588 x^{7} + 498 x^{6} + 378 x^{5} + 525 x^{4} + 980 x^{3} + 1323 x^{2} + 1029 x + 343$ $-\,3^{24}\cdot 7^{15}$ $S_3 \times C_3$ (as 18T3) trivial $725499.841066$
18.0.172...464.1 $x^{18} + 16 x^{16} + 102 x^{14} + 475 x^{12} + 1129 x^{10} + 1067 x^{8} + 477 x^{6} + 136 x^{4} + 29 x^{2} + 1$ $-\,2^{18}\cdot 37^{12}$ $S_3 \times C_3$ (as 18T3) $[2, 2]$ $18639.792218$
18.0.272...616.1 $x^{18} + 9 x^{16} - 4 x^{15} + 18 x^{14} - 9 x^{13} - 16 x^{12} + 36 x^{11} + 162 x^{10} + 231 x^{9} + 711 x^{8} + 342 x^{7} + 767 x^{6} + 297 x^{5} + 165 x^{4} + 77 x^{3} + 18 x^{2} + 3 x + 1$ $-\,2^{12}\cdot 3^{24}\cdot 11^{9}$ $S_3 \times C_3$ (as 18T3) $[3]$ $14940.9232602$
18.0.272...616.2 $x^{18} - 9 x^{17} + 57 x^{16} - 243 x^{15} + 840 x^{14} - 2298 x^{13} + 5309 x^{12} - 10128 x^{11} + 16527 x^{10} - 22468 x^{9} + 26112 x^{8} - 25056 x^{7} + 20355 x^{6} - 13275 x^{5} + 7182 x^{4} - 2916 x^{3} + 918 x^{2} - 162 x + 27$ $-\,2^{12}\cdot 3^{24}\cdot 11^{9}$ $S_3 \times C_3$ (as 18T3) $[3]$ $17836.0340898$
18.0.272...616.3 $x^{18} - 9 x^{17} + 39 x^{16} - 98 x^{15} + 153 x^{14} - 129 x^{13} - 29 x^{12} + 459 x^{11} - 918 x^{10} + 304 x^{9} + 1575 x^{8} - 825 x^{7} - 1475 x^{6} + 441 x^{5} + 2301 x^{4} + 1963 x^{3} + 891 x^{2} + 216 x + 27$ $-\,2^{12}\cdot 3^{24}\cdot 11^{9}$ $S_3 \times C_3$ (as 18T3) $[3]$ $110286.485801$
18.0.362...000.1 $x^{18} - 2 x^{17} + 5 x^{16} - 32 x^{15} - 10 x^{14} + 28 x^{13} + 172 x^{12} + 416 x^{11} + 5 x^{10} - 514 x^{9} - 735 x^{8} - 824 x^{7} + 1081 x^{6} + 1802 x^{5} + 1721 x^{4} + 1940 x^{3} + 1463 x^{2} - 294 x + 1561$ $-\,2^{27}\cdot 5^{9}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) $[6]$ $19821.7051984$
18.0.655...231.1 $x^{18} - 6 x^{17} + 9 x^{16} + 6 x^{15} - 27 x^{14} - 12 x^{13} + 465 x^{12} - 1398 x^{11} + 2649 x^{10} - 3110 x^{9} + 2157 x^{8} + 1350 x^{7} - 4305 x^{6} + 5526 x^{5} - 3480 x^{4} - 120 x^{3} + 6528 x^{2} - 7680 x + 4096$ $-\,3^{31}\cdot 13^{9}$ $S_3 \times C_3$ (as 18T3) $[4]$ $29831.8168774$
18.0.687...096.1 $x^{18} + 2 x^{16} + 6 x^{14} - 110 x^{12} - 203 x^{10} + 1084 x^{8} - 883 x^{6} + 2522 x^{4} + 1352 x^{2} + 104$ $-\,2^{27}\cdot 13^{15}$ $S_3 \times C_3$ (as 18T3) $[6]$ $26737.5967738$
18.0.746...751.1 $x^{18} + 15 x^{16} - 9 x^{15} + 81 x^{14} - 36 x^{13} + 64 x^{12} - 162 x^{11} + 780 x^{10} - 918 x^{9} + 1782 x^{8} - 1674 x^{7} + 1792 x^{6} - 1188 x^{5} + 669 x^{4} - 252 x^{3} + 63 x^{2} - 9 x + 1$ $-\,3^{24}\cdot 31^{9}$ $S_3 \times C_3$ (as 18T3) $[3]$ $42855.4917555$
18.0.762...000.1 $x^{18} - 9 x^{15} + 46 x^{12} - 171 x^{9} + 388 x^{6} - 171 x^{3} + 27$ $-\,2^{12}\cdot 3^{27}\cdot 5^{12}$ $S_3 \times C_3$ (as 18T3) trivial $2586019.54261$
18.0.854...347.2 $x^{18} - 9 x^{17} + 45 x^{16} - 156 x^{15} + 411 x^{14} - 861 x^{13} + 1359 x^{12} - 1407 x^{11} + 264 x^{10} + 2354 x^{9} - 5535 x^{8} + 7515 x^{7} - 4059 x^{6} - 4305 x^{5} + 16131 x^{4} - 20937 x^{3} + 14379 x^{2} - 5190 x + 811$ $-\,3^{31}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) $[3]$ $102362.355108$
18.0.854...347.3 $x^{18} - 9 x^{17} + 63 x^{16} - 300 x^{15} + 1194 x^{14} - 3822 x^{13} + 10548 x^{12} - 24600 x^{11} + 50088 x^{10} - 87574 x^{9} + 133758 x^{8} - 175122 x^{7} + 198099 x^{6} - 188391 x^{5} + 150321 x^{4} - 95718 x^{3} + 47184 x^{2} - 15720 x + 2512$ $-\,3^{31}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) $[3]$ $980950.022268$
18.0.854...347.4 $x^{18} - 9 x^{17} + 39 x^{16} - 102 x^{15} + 117 x^{14} + 243 x^{13} - 1317 x^{12} + 2565 x^{11} - 2241 x^{10} - 1527 x^{9} + 8532 x^{8} - 13725 x^{7} + 11169 x^{6} - 5184 x^{5} + 6561 x^{4} - 14814 x^{3} + 18306 x^{2} - 11799 x + 3249$ $-\,3^{31}\cdot 7^{12}$ $S_3 \times C_3$ (as 18T3) $[3]$ $636348.279995$
18.18.122...648.1 $x^{18} - 30 x^{16} - 37 x^{15} + 204 x^{14} + 294 x^{13} - 604 x^{12} - 858 x^{11} + 984 x^{10} + 1201 x^{9} - 984 x^{8} - 858 x^{7} + 604 x^{6} + 294 x^{5} - 204 x^{4} - 37 x^{3} + 30 x^{2} - 1$ $2^{12}\cdot 3^{24}\cdot 13^{9}$ $S_3 \times C_3$ (as 18T3) trivial $3530519.19402$
18.18.148...000.1 $x^{18} - 3 x^{17} - 24 x^{16} + 57 x^{15} + 237 x^{14} - 381 x^{13} - 1143 x^{12} + 1122 x^{11} + 2523 x^{10} - 1987 x^{9} - 2604 x^{8} + 2118 x^{7} + 1038 x^{6} - 1077 x^{5} - 12 x^{4} + 162 x^{3} - 21 x^{2} - 6 x + 1$ $2^{12}\cdot 3^{32}\cdot 5^{9}$ $S_3 \times C_3$ (as 18T3) trivial $4070482.18025$
18.0.154...167.1 $x^{18} - 2 x^{17} - 13 x^{15} + 83 x^{14} - 101 x^{13} + 27 x^{12} - 399 x^{11} + 1430 x^{10} - 743 x^{9} - 2237 x^{8} + 4368 x^{7} - 3469 x^{6} + 3460 x^{5} + 1340 x^{4} - 4333 x^{3} + 6206 x^{2} - 3917 x + 13411$ $-\,7^{12}\cdot 47^{9}$ $S_3 \times C_3$ (as 18T3) $[5]$ $29368.4164899$
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