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Label Polynomial Discriminant Galois group Class group Regulator
12.0.164...352.1 x124x1162x10+232x9+1679x85668x720398x6+62556x5+37242x4194132x3+1081520x2893952x+689057x^{12} - 4 x^{11} - 62 x^{10} + 232 x^{9} + 1679 x^{8} - 5668 x^{7} - 20398 x^{6} + 62556 x^{5} + 37242 x^{4} - 194132 x^{3} + 1081520 x^{2} - 893952 x + 689057 2336182^{33}\cdot 61^{8} C12C_{12} (as 12T1) [349][349] 27056.693118627056.6931186
12.12.164...352.1 x124x1186x10+312x9+2535x88164x730878x6+85260x5+155506x4338228x3289984x2+370384x+136193x^{12} - 4 x^{11} - 86 x^{10} + 312 x^{9} + 2535 x^{8} - 8164 x^{7} - 30878 x^{6} + 85260 x^{5} + 155506 x^{4} - 338228 x^{3} - 289984 x^{2} + 370384 x + 136193 2336182^{33}\cdot 61^{8} C12C_{12} (as 12T1) trivial 93449375.285693449375.2856
12.0.199...192.1 x124x11+36x10176x9+438x82328x7+7312x62828x53243x444992x3+124344x2309384x+444727x^{12} - 4 x^{11} + 36 x^{10} - 176 x^{9} + 438 x^{8} - 2328 x^{7} + 7312 x^{6} - 2828 x^{5} - 3243 x^{4} - 44992 x^{3} + 124344 x^{2} - 309384 x + 444727 218341736182^{18}\cdot 3^{4}\cdot 17^{3}\cdot 61^{8} D4×A4D_4\times A_4 (as 12T51) [2,870][2, 870] 27056.6931185709927056.69311857099
12.12.227...657.1 x12x11100x10+99x9+3340x82877x746644x6+33812x5+266073x4180321x3517506x2+369428x+16999x^{12} - x^{11} - 100 x^{10} + 99 x^{9} + 3340 x^{8} - 2877 x^{7} - 46644 x^{6} + 33812 x^{5} + 266073 x^{4} - 180321 x^{3} - 517506 x^{2} + 369428 x + 16999 17961817^{9}\cdot 61^{8} C12C_{12} (as 12T1) trivial 319721807.832319721807.832
12.0.120...608.1 x124x1138x10+152x9+1255x84324x713694x6+49196x596158x449332x3+4802880x24481424x+9228321x^{12} - 4 x^{11} - 38 x^{10} + 152 x^{9} + 1255 x^{8} - 4324 x^{7} - 13694 x^{6} + 49196 x^{5} - 96158 x^{4} - 49332 x^{3} + 4802880 x^{2} - 4481424 x + 9228321 233366182^{33}\cdot 3^{6}\cdot 61^{8} C12C_{12} (as 12T1) [2,2,5378][2, 2, 5378] 27056.6931185709927056.69311857099
12.12.120...608.1 x124x11110x10+392x9+3823x811812x750510x6+128060x5+280906x4512340x3591888x2+559584x+518337x^{12} - 4 x^{11} - 110 x^{10} + 392 x^{9} + 3823 x^{8} - 11812 x^{7} - 50510 x^{6} + 128060 x^{5} + 280906 x^{4} - 512340 x^{3} - 591888 x^{2} + 559584 x + 518337 233366182^{33}\cdot 3^{6}\cdot 61^{8} C12C_{12} (as 12T1) [2,2][2, 2] 1310663235.96425581310663235.9642558
16.8.916...289.1 x164x15+5x143x13+5x12+46x11212x10+219x9+256x8711x7+436x6+137x5253x4+66x3+23x211x+1x^{16} - 4 x^{15} + 5 x^{14} - 3 x^{13} + 5 x^{12} + 46 x^{11} - 212 x^{10} + 219 x^{9} + 256 x^{8} - 711 x^{7} + 436 x^{6} + 137 x^{5} - 253 x^{4} + 66 x^{3} + 23 x^{2} - 11 x + 1 3146183^{14}\cdot 61^{8} C24.SL(2,3)C_2^4.\SL(2,3) (as 16T728) trivial 46987.932997146987.9329971
16.4.146...624.1 x164x15+14x1427x13+29x1253x1156x10+51x962x8+189x7377x6+269x528x457x3+17x2+10x+1x^{16} - 4 x^{15} + 14 x^{14} - 27 x^{13} + 29 x^{12} - 53 x^{11} - 56 x^{10} + 51 x^{9} - 62 x^{8} + 189 x^{7} - 377 x^{6} + 269 x^{5} - 28 x^{4} - 57 x^{3} + 17 x^{2} + 10 x + 1 243146182^{4}\cdot 3^{14}\cdot 61^{8} C24.SL(2,3)C_2^4.\SL(2,3) (as 16T732) trivial 47988.767523247988.7675232
16.6.173...160.1 x168x15+36x14112x13+265x12498x11+763x10966x9+1007x8850x7+543x6218x5+5x4+60x328x2+1x^{16} - 8 x^{15} + 36 x^{14} - 112 x^{13} + 265 x^{12} - 498 x^{11} + 763 x^{10} - 966 x^{9} + 1007 x^{8} - 850 x^{7} + 543 x^{6} - 218 x^{5} + 5 x^{4} + 60 x^{3} - 28 x^{2} + 1 2638543618-\,2^{6}\cdot 3^{8}\cdot 5\cdot 43\cdot 61^{8} C44.C2A4C_4^4.C_2\wr A_4 (as 16T1845) trivial 218886.822294218886.822294
16.0.410...561.1 x162x15+9x1425x13+55x12118x11+150x1057x9+224x8+235x7+370x6+214x5+227x4+178x3+119x2+70x+25x^{16} - 2 x^{15} + 9 x^{14} - 25 x^{13} + 55 x^{12} - 118 x^{11} + 150 x^{10} - 57 x^{9} + 224 x^{8} + 235 x^{7} + 370 x^{6} + 214 x^{5} + 227 x^{4} + 178 x^{3} + 119 x^{2} + 70 x + 25 11861811^{8}\cdot 61^{8} SL(2,3):C2\SL(2,3):C_2 (as 16T60) [2][2] 37053.59159528556537053.591595285565
16.12.417...416.1 x1612x14+37x12+12x10183x8+129x6+157x4108x2+16x^{16} - 12 x^{14} + 37 x^{12} + 12 x^{10} - 183 x^{8} + 129 x^{6} + 157 x^{4} - 108 x^{2} + 16 2123126182^{12}\cdot 3^{12}\cdot 61^{8} C27:SL(2,3)C_2^7:\SL(2,3) (as 16T1542) trivial 3284543.639553284543.63955
16.4.417...416.1 x16+9x14+9x12108x10252x8+189x6+810x4+486x2+81x^{16} + 9 x^{14} + 9 x^{12} - 108 x^{10} - 252 x^{8} + 189 x^{6} + 810 x^{4} + 486 x^{2} + 81 2123126182^{12}\cdot 3^{12}\cdot 61^{8} C27:SL(2,3)C_2^7:\SL(2,3) (as 16T1542) trivial 575416.944369575416.944369
16.8.417...416.1 x164x1432x12+41x10+214x852x6131x4+20x2+16x^{16} - 4 x^{14} - 32 x^{12} + 41 x^{10} + 214 x^{8} - 52 x^{6} - 131 x^{4} + 20 x^{2} + 16 2123126182^{12}\cdot 3^{12}\cdot 61^{8} C27:SL(2,3)C_2^7:\SL(2,3) (as 16T1542) trivial 746109.5950902541746109.5950902541
16.12.417...416.2 x1615x14+64x1242x10222x8+336x62x4162x2+49x^{16} - 15 x^{14} + 64 x^{12} - 42 x^{10} - 222 x^{8} + 336 x^{6} - 2 x^{4} - 162 x^{2} + 49 2123126182^{12}\cdot 3^{12}\cdot 61^{8} C27:SL(2,3)C_2^7:\SL(2,3) (as 16T1542) trivial 2727878.01842727878.0184
16.12.417...416.3 x1611x14+38x1244x1014x8+56x622x44x2+1x^{16} - 11 x^{14} + 38 x^{12} - 44 x^{10} - 14 x^{8} + 56 x^{6} - 22 x^{4} - 4 x^{2} + 1 2123126182^{12}\cdot 3^{12}\cdot 61^{8} C27:SL(2,3)C_2^7:\SL(2,3) (as 16T1542) trivial 2219287.5831703832219287.583170383
16.4.417...416.3 x16+2x1428x12127x10176x844x6+59x4+19x2+1x^{16} + 2 x^{14} - 28 x^{12} - 127 x^{10} - 176 x^{8} - 44 x^{6} + 59 x^{4} + 19 x^{2} + 1 2123126182^{12}\cdot 3^{12}\cdot 61^{8} C27:SL(2,3)C_2^7:\SL(2,3) (as 16T1542) trivial 384631.33056536416384631.33056536416
16.4.417...416.4 x16+14x14+67x12+83x10332x81297x61655x4706x2+49x^{16} + 14 x^{14} + 67 x^{12} + 83 x^{10} - 332 x^{8} - 1297 x^{6} - 1655 x^{4} - 706 x^{2} + 49 2123126182^{12}\cdot 3^{12}\cdot 61^{8} C27:SL(2,3)C_2^7:\SL(2,3) (as 16T1542) trivial 688804.6955226554688804.6955226554
16.2.465...800.1 x164x15+8x1413x13x1246x11+145x10390x9+602x8517x7+493x6185x5+192x427x3+21x2+1x^{16} - 4 x^{15} + 8 x^{14} - 13 x^{13} - x^{12} - 46 x^{11} + 145 x^{10} - 390 x^{9} + 602 x^{8} - 517 x^{7} + 493 x^{6} - 185 x^{5} + 192 x^{4} - 27 x^{3} + 21 x^{2} + 1 233852432618-\,2^{3}\cdot 3^{8}\cdot 5^{2}\cdot 43^{2}\cdot 61^{8} C44.C2A4C_4^4.C_2\wr A_4 (as 16T1845) trivial 1373019.992421373019.99242
16.6.257...000.1 x168x12+17x87x45x^{16} - 8 x^{12} + 17 x^{8} - 7 x^{4} - 5 2143853618-\,2^{14}\cdot 3^{8}\cdot 5^{3}\cdot 61^{8} C44:(C2×A4)C_4^4:(C_2\times A_4) (as 16T1657) trivial 3885982.659563885982.65956
16.16.292...912.1 x1620x14+164x12713x10+1774x82542x6+2003x4772x2+112x^{16} - 20 x^{14} + 164 x^{12} - 713 x^{10} + 1774 x^{8} - 2542 x^{6} + 2003 x^{4} - 772 x^{2} + 112 21231276182^{12}\cdot 3^{12}\cdot 7\cdot 61^{8} C2SL(2,3)C_2\wr \SL(2,3) (as 16T1670) trivial 12115649.470112115649.4701
16.8.296...736.1 x1622x14+179x12818x10+2503x85358x6+7746x46768x2+2601x^{16} - 22 x^{14} + 179 x^{12} - 818 x^{10} + 2503 x^{8} - 5358 x^{6} + 7746 x^{4} - 6768 x^{2} + 2601 2183106182^{18}\cdot 3^{10}\cdot 61^{8} C27:SL(2,3)C_2^7:\SL(2,3) (as 16T1546) trivial 10283956.39310283956.393
16.0.296...736.1 x16+7x14+6x128x10+79x8+717x6+1683x4+1215x2+144x^{16} + 7 x^{14} + 6 x^{12} - 8 x^{10} + 79 x^{8} + 717 x^{6} + 1683 x^{4} + 1215 x^{2} + 144 2183106182^{18}\cdot 3^{10}\cdot 61^{8} C27:SL(2,3)C_2^7:\SL(2,3) (as 16T1546) [2][2] 1388481.403941388481.40394
16.0.296...736.2 x16+4x1470x12238x10+751x8+6642x6+14715x4+7290x2+729x^{16} + 4 x^{14} - 70 x^{12} - 238 x^{10} + 751 x^{8} + 6642 x^{6} + 14715 x^{4} + 7290 x^{2} + 729 2183106182^{18}\cdot 3^{10}\cdot 61^{8} C27:SL(2,3)C_2^7:\SL(2,3) (as 16T1546) [2][2] 891171.532006891171.532006
16.8.341...369.1 x162x15x146x13133x12+215x11+76x1078x9+427x896x7248x6167x5187x4138x319x2+20x+4x^{16} - 2 x^{15} - x^{14} - 6 x^{13} - 133 x^{12} + 215 x^{11} + 76 x^{10} - 78 x^{9} + 427 x^{8} - 96 x^{7} - 248 x^{6} - 167 x^{5} - 187 x^{4} - 138 x^{3} - 19 x^{2} + 20 x + 4 31461103^{14}\cdot 61^{10} C25.SL(2,3)C_2^5.\SL(2,3) (as 16T1040) trivial 3368903.284813368903.28481
16.0.432...025.1 x165x15+13x14+23x1397x1228x11+190x10+115x9+86x8403x7747x6+610x5+542x4108x3+699x2927x+268x^{16} - 5 x^{15} + 13 x^{14} + 23 x^{13} - 97 x^{12} - 28 x^{11} + 190 x^{10} + 115 x^{9} + 86 x^{8} - 403 x^{7} - 747 x^{6} + 610 x^{5} + 542 x^{4} - 108 x^{3} + 699 x^{2} - 927 x + 268 3852725326183^{8}\cdot 5^{2}\cdot 7^{2}\cdot 53^{2}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) [2][2] 1316818.03631316818.0363
16.8.432...025.1 x164x15+2x14+21x13x1253x11256x1069x9+620x8+1118x7+28x62172x5834x4+1183x3+497x257x+1x^{16} - 4 x^{15} + 2 x^{14} + 21 x^{13} - x^{12} - 53 x^{11} - 256 x^{10} - 69 x^{9} + 620 x^{8} + 1118 x^{7} + 28 x^{6} - 2172 x^{5} - 834 x^{4} + 1183 x^{3} + 497 x^{2} - 57 x + 1 3852725326183^{8}\cdot 5^{2}\cdot 7^{2}\cdot 53^{2}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) trivial 4042747.078424042747.07842
16.4.432...025.1 x16x1511x1416x13+48x12+201x11+131x10559x91368x8566x7+2053x6+2863x5148x42613x31096x2+775x+442x^{16} - x^{15} - 11 x^{14} - 16 x^{13} + 48 x^{12} + 201 x^{11} + 131 x^{10} - 559 x^{9} - 1368 x^{8} - 566 x^{7} + 2053 x^{6} + 2863 x^{5} - 148 x^{4} - 2613 x^{3} - 1096 x^{2} + 775 x + 442 3852725326183^{8}\cdot 5^{2}\cdot 7^{2}\cdot 53^{2}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) trivial 5549131.713685549131.71368
16.4.432...025.2 x164x15+10x1411x13+11x12147x11+205x10188x8988x7+729x6+1598x51876x4+302x3+325x2126x+7x^{16} - 4 x^{15} + 10 x^{14} - 11 x^{13} + 11 x^{12} - 147 x^{11} + 205 x^{10} - 188 x^{8} - 988 x^{7} + 729 x^{6} + 1598 x^{5} - 1876 x^{4} + 302 x^{3} + 325 x^{2} - 126 x + 7 3852725326183^{8}\cdot 5^{2}\cdot 7^{2}\cdot 53^{2}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) trivial 2759124.667332759124.66733
16.0.565...400.1 x168x15+30x1467x13+125x12208x11+342x10481x9+593x8628x7+340x6697x5+500x4+450x3+1000x2+511x+523x^{16} - 8 x^{15} + 30 x^{14} - 67 x^{13} + 125 x^{12} - 208 x^{11} + 342 x^{10} - 481 x^{9} + 593 x^{8} - 628 x^{7} + 340 x^{6} - 697 x^{5} + 500 x^{4} + 450 x^{3} + 1000 x^{2} + 511 x + 523 2638525326182^{6}\cdot 3^{8}\cdot 5^{2}\cdot 53^{2}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) [2][2] 645901.460708645901.460708
16.4.565...400.1 x164x15+12x1424x13+17x12+40x11226x10+168x962x8+1226x73163x6+3929x5+7591x415998x3+2514x25762x278x^{16} - 4 x^{15} + 12 x^{14} - 24 x^{13} + 17 x^{12} + 40 x^{11} - 226 x^{10} + 168 x^{9} - 62 x^{8} + 1226 x^{7} - 3163 x^{6} + 3929 x^{5} + 7591 x^{4} - 15998 x^{3} + 2514 x^{2} - 5762 x - 278 2638525326182^{6}\cdot 3^{8}\cdot 5^{2}\cdot 53^{2}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) trivial 2176746.457312176746.45731
16.8.565...400.1 x163x15+6x1423x13+2x12+83x11143x10+435x9617x8+1163x74465x6+8028x58579x4+6803x33218x2+722x59x^{16} - 3 x^{15} + 6 x^{14} - 23 x^{13} + 2 x^{12} + 83 x^{11} - 143 x^{10} + 435 x^{9} - 617 x^{8} + 1163 x^{7} - 4465 x^{6} + 8028 x^{5} - 8579 x^{4} + 6803 x^{3} - 3218 x^{2} + 722 x - 59 2638525326182^{6}\cdot 3^{8}\cdot 5^{2}\cdot 53^{2}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) trivial 8929620.282238929620.28223
16.4.565...400.2 x163x15+5x144x13+45x12154x11+308x10489x9+1520x83609x7+4541x6+231x56795x4+7060x31986x2308x+49x^{16} - 3 x^{15} + 5 x^{14} - 4 x^{13} + 45 x^{12} - 154 x^{11} + 308 x^{10} - 489 x^{9} + 1520 x^{8} - 3609 x^{7} + 4541 x^{6} + 231 x^{5} - 6795 x^{4} + 7060 x^{3} - 1986 x^{2} - 308 x + 49 2638525326182^{6}\cdot 3^{8}\cdot 5^{2}\cdot 53^{2}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) trivial 1874993.486961874993.48696
16.6.105...728.1 x16x1210x8+19x48x^{16} - x^{12} - 10 x^{8} + 19 x^{4} - 8 22338618-\,2^{23}\cdot 3^{8}\cdot 61^{8} C44:(C2×A4)C_4^4:(C_2\times A_4) (as 16T1657) trivial 4493737.342564493737.34256
16.0.150...961.1 x16x15x144x1332x12x11+203x10+223x9766x81476x7+3631x6+8628x59053x431868x33791x2+43654x+31772x^{16} - x^{15} - x^{14} - 4 x^{13} - 32 x^{12} - x^{11} + 203 x^{10} + 223 x^{9} - 766 x^{8} - 1476 x^{7} + 3631 x^{6} + 8628 x^{5} - 9053 x^{4} - 31868 x^{3} - 3791 x^{2} + 43654 x + 31772 23861823^{8}\cdot 61^{8} SL(2,3):C2\SL(2,3):C_2 (as 16T60) [12][12] 144826.71779034333144826.71779034333
16.0.467...592.1 x16+20x14+164x12+713x10+1774x8+2542x6+2003x4+772x2+112x^{16} + 20 x^{14} + 164 x^{12} + 713 x^{10} + 1774 x^{8} + 2542 x^{6} + 2003 x^{4} + 772 x^{2} + 112 21631276182^{16}\cdot 3^{12}\cdot 7\cdot 61^{8} C2SL(2,3)C_2\wr \SL(2,3) (as 16T1670) [2,20][2, 20] 31577.613957831577.6139578
16.8.600...904.1 x166x1466x12+24x10+144x836x672x4+9x2+9x^{16} - 6 x^{14} - 66 x^{12} + 24 x^{10} + 144 x^{8} - 36 x^{6} - 72 x^{4} + 9 x^{2} + 9 2163146182^{16}\cdot 3^{14}\cdot 61^{8} C24.SL(2,3)C_2^4.\SL(2,3) (as 16T728) trivial 13653173.273213653173.2732
16.0.600...904.1 x16+21x14+162x12+579x10+1044x8+972x6+468x4+108x2+9x^{16} + 21 x^{14} + 162 x^{12} + 579 x^{10} + 1044 x^{8} + 972 x^{6} + 468 x^{4} + 108 x^{2} + 9 2163146182^{16}\cdot 3^{14}\cdot 61^{8} C24.SL(2,3)C_2^4.\SL(2,3) (as 16T728) [4,16][4, 16] 31577.613957831577.6139578
16.16.600...904.1 x1621x14+162x12579x10+1044x8972x6+468x4108x2+9x^{16} - 21 x^{14} + 162 x^{12} - 579 x^{10} + 1044 x^{8} - 972 x^{6} + 468 x^{4} - 108 x^{2} + 9 2163146182^{16}\cdot 3^{14}\cdot 61^{8} C24.SL(2,3)C_2^4.\SL(2,3) (as 16T728) trivial 76577829.771376577829.7713
16.8.600...904.2 x169x1415x12+210x10270x8189x6+144x4+90x2+9x^{16} - 9 x^{14} - 15 x^{12} + 210 x^{10} - 270 x^{8} - 189 x^{6} + 144 x^{4} + 90 x^{2} + 9 2163146182^{16}\cdot 3^{14}\cdot 61^{8} C24.SL(2,3)C_2^4.\SL(2,3) (as 16T728) trivial 12494490.572412494490.5724
16.8.131...681.1 x163x1514x14+9x13+128x12+20x11709x10+310x9+1422x81175x7289x6+66x5+109x4+428x3+12x263x+4x^{16} - 3 x^{15} - 14 x^{14} + 9 x^{13} + 128 x^{12} + 20 x^{11} - 709 x^{10} + 310 x^{9} + 1422 x^{8} - 1175 x^{7} - 289 x^{6} + 66 x^{5} + 109 x^{4} + 428 x^{3} + 12 x^{2} - 63 x + 4 3853261819323^{8}\cdot 53^{2}\cdot 61^{8}\cdot 193^{2} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) trivial 64113447.995464113447.9954
16.0.131...681.1 x16x15+15x144x1359x1249x11+299x10+111x9240x8144x7+420x681x5+145x4166x3+274x2251x+85x^{16} - x^{15} + 15 x^{14} - 4 x^{13} - 59 x^{12} - 49 x^{11} + 299 x^{10} + 111 x^{9} - 240 x^{8} - 144 x^{7} + 420 x^{6} - 81 x^{5} + 145 x^{4} - 166 x^{3} + 274 x^{2} - 251 x + 85 3853261819323^{8}\cdot 53^{2}\cdot 61^{8}\cdot 193^{2} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) [2][2] 3038959.246693038959.24669
16.8.131...681.2 x163x152x1412x13+40x12+86x1176x10220x9501x8+935x7+1100x6772x52866x4+2964x3597x2110x+25x^{16} - 3 x^{15} - 2 x^{14} - 12 x^{13} + 40 x^{12} + 86 x^{11} - 76 x^{10} - 220 x^{9} - 501 x^{8} + 935 x^{7} + 1100 x^{6} - 772 x^{5} - 2866 x^{4} + 2964 x^{3} - 597 x^{2} - 110 x + 25 3853261819323^{8}\cdot 53^{2}\cdot 61^{8}\cdot 193^{2} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) trivial 65766096.738265766096.7382
16.0.131...681.2 x163x15+11x14x13+15x1237x11+104x10+27x961x839x7+452x6414x5+60x4+121x3+57x2+10x+1x^{16} - 3 x^{15} + 11 x^{14} - x^{13} + 15 x^{12} - 37 x^{11} + 104 x^{10} + 27 x^{9} - 61 x^{8} - 39 x^{7} + 452 x^{6} - 414 x^{5} + 60 x^{4} + 121 x^{3} + 57 x^{2} + 10 x + 1 3853261819323^{8}\cdot 53^{2}\cdot 61^{8}\cdot 193^{2} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1811) [2][2] 1074717.970211074717.97021
16.16.145...064.1 x16x1525x14+3x13+190x12+51x11571x10193x9+802x8+193x7571x651x5+190x43x325x2+x+1x^{16} - x^{15} - 25 x^{14} + 3 x^{13} + 190 x^{12} + 51 x^{11} - 571 x^{10} - 193 x^{9} + 802 x^{8} + 193 x^{7} - 571 x^{6} - 51 x^{5} + 190 x^{4} - 3 x^{3} - 25 x^{2} + x + 1 218310726182^{18}\cdot 3^{10}\cdot 7^{2}\cdot 61^{8} C2SL(2,3)C_2\wr \SL(2,3) (as 16T1669) trivial 120670916.616120670916.616
16.10.347...235.1 x162x1528x14+15x13+246x12120x111379x10+516x9+5443x8+256x711538x64560x5+9704x4+5897x31345x21450x236x^{16} - 2 x^{15} - 28 x^{14} + 15 x^{13} + 246 x^{12} - 120 x^{11} - 1379 x^{10} + 516 x^{9} + 5443 x^{8} + 256 x^{7} - 11538 x^{6} - 4560 x^{5} + 9704 x^{4} + 5897 x^{3} - 1345 x^{2} - 1450 x - 236 3857534618-\,3^{8}\cdot 5\cdot 7\cdot 53^{4}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1810) trivial 76856580.475176856580.4751
16.6.347...235.1 x16x15+x14+16x13105x12+175x11173x101484x9+1688x8+6296x7+129x610408x55378x4+3686x3+4020x2560x875x^{16} - x^{15} + x^{14} + 16 x^{13} - 105 x^{12} + 175 x^{11} - 173 x^{10} - 1484 x^{9} + 1688 x^{8} + 6296 x^{7} + 129 x^{6} - 10408 x^{5} - 5378 x^{4} + 3686 x^{3} + 4020 x^{2} - 560 x - 875 3857534618-\,3^{8}\cdot 5\cdot 7\cdot 53^{4}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1810) trivial 36476384.63136476384.631
16.6.347...235.2 x164x15+6x144x13142x12+445x11651x10+1183x9155x8+2389x7+318x6+6787x5+1064x4+10946x310080x2+1253x+49x^{16} - 4 x^{15} + 6 x^{14} - 4 x^{13} - 142 x^{12} + 445 x^{11} - 651 x^{10} + 1183 x^{9} - 155 x^{8} + 2389 x^{7} + 318 x^{6} + 6787 x^{5} + 1064 x^{4} + 10946 x^{3} - 10080 x^{2} + 1253 x + 49 3857534618-\,3^{8}\cdot 5\cdot 7\cdot 53^{4}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1810) trivial 44301934.086344301934.0863
16.10.347...235.2 x16x1521x1440x13+39x12+413x11+843x10526x94274x84279x7+4370x6+11923x5+6608x44564x38055x24249x833x^{16} - x^{15} - 21 x^{14} - 40 x^{13} + 39 x^{12} + 413 x^{11} + 843 x^{10} - 526 x^{9} - 4274 x^{8} - 4279 x^{7} + 4370 x^{6} + 11923 x^{5} + 6608 x^{4} - 4564 x^{3} - 8055 x^{2} - 4249 x - 833 3857534618-\,3^{8}\cdot 5\cdot 7\cdot 53^{4}\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1810) trivial 64912440.063664912440.0636
16.10.585...939.1 x162x155x149x13+184x11+45x10672x9806x8+175x7+3733x6+2765x55283x43384x3+1259x2+154x+4x^{16} - 2 x^{15} - 5 x^{14} - 9 x^{13} + 184 x^{11} + 45 x^{10} - 672 x^{9} - 806 x^{8} + 175 x^{7} + 3733 x^{6} + 2765 x^{5} - 5283 x^{4} - 3384 x^{3} + 1259 x^{2} + 154 x + 4 3853459618-\,3^{8}\cdot 53^{4}\cdot 59\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1810) trivial 80745298.203280745298.2032
16.6.585...939.1 x164x156x14+30x13113x12+305x11450x10+749x9763x8+543x71051x6+2032x54035x4+5922x33666x2+503x+103x^{16} - 4 x^{15} - 6 x^{14} + 30 x^{13} - 113 x^{12} + 305 x^{11} - 450 x^{10} + 749 x^{9} - 763 x^{8} + 543 x^{7} - 1051 x^{6} + 2032 x^{5} - 4035 x^{4} + 5922 x^{3} - 3666 x^{2} + 503 x + 103 3853459618-\,3^{8}\cdot 53^{4}\cdot 59\cdot 61^{8} C2Q8.A4C_2\wr Q_8.A_4 (as 16T1810) trivial 92669127.665792669127.6657
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