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Label Polynomial Discriminant Galois group Class group Regulator
33.11.163...327.1 $ x^{33} - 3 x^{32} - 3 x^{31} + 28 x^{30} - 58 x^{29} + 22 x^{28} + \cdots - 1 $ $-\,23^{31}$ $S_3\times C_{11}$ (as 33T2) trivial $255776199.8931762$
33.1.127...537.1 $ x^{33} - x - 1 $ $461\cdot 37057\cdot 74\!\cdots\!81$ $S_{33}$ (as 33T162) trivial $477092908754.3794$
33.1.130...489.1 $ x^{33} + x - 1 $ $17\cdot 43\cdot 1579\cdot 2609\cdot 13153817\cdot 216865282965193\cdot 15199633537674804809$ $S_{33}$ (as 33T162) trivial $794597544869.8735$
33.1.125...305.1 $ x^{33} + 2 x - 1 $ $5\cdot 25\!\cdots\!61$ $S_{33}$ (as 33T162) trivial $12254017574219786$
33.33.271...161.1 $ x^{33} - x^{32} - 32 x^{31} + 31 x^{30} + 465 x^{29} - 435 x^{28} + \cdots - 1 $ $67^{32}$ $C_{33}$ (as 33T1) trivial $3985748844865106400$
33.1.135...753.1 $ x^{33} - 3 $ $3^{65}\cdot 11^{27}$ $S_3\times F_{11}$ (as 33T11) trivial $62662652284763790$
33.33.277...001.1 $ x^{33} - x^{32} - 52 x^{31} + 47 x^{30} + 1159 x^{29} - 945 x^{28} + \cdots - 1 $ $7^{22}\cdot 23^{30}$ $C_{33}$ (as 33T1) trivial $15716532070591353000$
33.1.529...264.1 $ x^{33} - 4 x - 4 $ $2^{32}\cdot 677\cdot 4266637\cdot 48046836047629\cdot 888172284811267871458394629$ $S_{33}$ (as 33T162) trivial $80551974751644370$
33.1.541...056.1 $ x^{33} - 2 x - 2 $ $2^{32}\cdot 17881556731651\cdot 70\!\cdots\!11$ $S_{33}$ (as 33T162) trivial $88168911953428100$
33.1.554...872.1 $ x^{33} - x - 2 $ $2^{32}\cdot 31\cdot 491\cdot 35603\cdot 23\!\cdots\!39$ $S_{33}$ (as 33T162) trivial $133008702440587730$
33.1.554...392.1 $ x^{33} - x - 4 $ $2^{32}\cdot 1621\cdot 3527\cdot 195457\cdot 11716761181\cdot 14330054499223\cdot 688121128326241$ $S_{33}$ (as 33T162) not computed $$
33.1.554...848.1 $ x^{33} - 2 $ $2^{32}\cdot 3^{33}\cdot 11^{33}$ $S_3\times F_{11}$ (as 33T11) trivial $95573511152749460$
33.1.567...640.1 $ x^{33} + 2 x - 2 $ $2^{32}\cdot 5\cdot 53\cdot 3229\cdot 6433737122028757573993\cdot 23983104676408544038373$ $S_{33}$ (as 33T162) trivial $96056886306925100$
33.1.579...432.1 $ x^{33} + 4 x - 4 $ $2^{32}\cdot 7\cdot 127\cdot 361279\cdot 459803\cdot 149099734067\cdot 6129135169246811499255607$ $S_{33}$ (as 33T162) trivial $84037986779048380$
33.33.700...569.1 $ x^{33} - 63 x^{31} - 4 x^{30} + 1710 x^{29} + 204 x^{28} - 26254 x^{27} + \cdots + 1 $ $3^{44}\cdot 23^{30}$ $C_{33}$ (as 33T1) trivial $176588774716401650000$
33.1.174...153.1 $ x^{33} - x - 3 $ $32159\cdot 1547725797949519945333\cdot 35\!\cdots\!99$ $S_{33}$ (as 33T162) not computed $$
33.3.812...935.1 $ x^{33} - 3 x - 1 $ $-\,3^{33}\cdot 5\cdot 40739\cdot 11781157\cdot 3137660461139\cdot 194099782564469344251877$ $S_{33}$ (as 33T162) trivial $10925780584629996000$
33.1.812...961.1 $ x^{33} + 3 x - 1 $ $3^{34}\cdot 647\cdot 52009\cdot 14\!\cdots\!03$ $S_{33}$ (as 33T162) not computed $$
33.1.812...296.1 $ x^{33} + 3 x - 2 $ $2^{32}\cdot 3^{34}\cdot 5273\cdot 13873073\cdot 79403245997\cdot 19528960698348533$ $S_{33}$ (as 33T162) trivial $22262502678802630000$
33.33.228...681.1 $ x^{33} - 8 x^{32} - 48 x^{31} + 488 x^{30} + 889 x^{29} + \cdots + 1013 $ $13^{22}\cdot 23^{30}$ $C_{33}$ (as 33T1) trivial $22765796489209540000000$
33.1.231...985.1 $ x^{33} - 3 x - 3 $ $3^{33}\cdot 5\cdot 7\cdot 29264269\cdot 40\!\cdots\!33$ $S_{33}$ (as 33T162) not computed $$
33.1.239...641.1 $ x^{33} - 2 x - 3 $ $131009\cdot 18\!\cdots\!49$ $S_{33}$ (as 33T162) trivial $91796156039521290000$
33.1.239...409.1 $ x^{33} + x - 3 $ $7\cdot 17\cdot 59\cdot 34\!\cdots\!29$ $S_{33}$ (as 33T162) not computed $$
33.1.247...881.1 $ x^{33} + 3 x - 3 $ $3^{33}\cdot 251\cdot 6097463\cdot 19738007\cdot 14\!\cdots\!17$ $S_{33}$ (as 33T162) trivial $64586856090532960000$
33.1.238...848.1 $ x^{33} + 2 x - 4 $ $2^{62}\cdot 7\cdot 13\cdot 131\cdot 331\cdot 373\cdot 16487\cdot 339517\cdot 72016601\cdot 8704317240727202644261$ $S_{33}$ (as 33T162) not computed $$
33.1.486...440.1 $ x^{33} - 3 x - 4 $ $2^{64}\cdot 3^{33}\cdot 5\cdot 7\cdot 211\cdot 47701\cdot 56203340663\cdot 23939822997841$ $S_{33}$ (as 33T162) not computed $$
33.3.107...016.1 $ x^{33} - 4 x - 2 $ $-\,2^{32}\cdot 131\cdot 1332938071\cdot 25239878589041\cdot 56\!\cdots\!31$ $S_{33}$ (as 33T162) not computed $$
33.3.107...351.1 $ x^{33} - 4 x - 1 $ $-\,157\cdot 862680509293\cdot 8877052066229\cdot 395644289235529\cdot 226702188673068757097323811$ $S_{33}$ (as 33T162) not computed $$
33.1.107...712.1 $ x^{33} + 4 x - 2 $ $2^{32}\cdot 717559\cdot 45863269\cdot 561933804328655053279\cdot 1357723639278128039889733$ $S_{33}$ (as 33T162) not computed $$
33.1.108...297.1 $ x^{33} + 4 x - 3 $ $7\cdot 383\cdot 9151\cdot 44\!\cdots\!87$ $S_{33}$ (as 33T162) not computed $$
33.3.177...432.1 $ x^{33} - 5 x - 2 $ $-\,2^{32}\cdot 28938953909\cdot 14\!\cdots\!63$ $S_{33}$ (as 33T162) not computed $$
33.1.595...304.1 $ x^{33} - 2 x - 4 $ $2^{62}\cdot 41\cdot 5227\cdot 495043\cdot 2489722643\cdot 103976867383\cdot 4701030158746705429$ $S_{33}$ (as 33T162) not computed $$
33.33.964...489.1 $ x^{33} - 8 x^{32} - 70 x^{31} + 734 x^{30} + 1439 x^{29} + \cdots - 470213 $ $19^{22}\cdot 23^{30}$ $C_{33}$ (as 33T1) trivial $859641744829651100000000$
33.1.102...432.1 $ x^{33} + 5 x - 4 $ $2^{64}\cdot 163\cdot 181\cdot 50551\cdot 28444257707\cdot 13\!\cdots\!87$ $S_{33}$ (as 33T162) not computed $$
33.1.238...984.1 $ x^{33} + x - 4 $ $2^{64}\cdot 7\cdot 17\cdot 19\cdot 157\cdot 33211\cdot 277757\cdot 4264681\cdot 80479969\cdot 114878428009485623479$ $S_{33}$ (as 33T162) not computed $$
33.1.425...712.1 $ x^{33} + 5 x - 2 $ $2^{30}\cdot 41\cdot 179\cdot 1579\cdot 2236133\cdot 39308148498265324319\cdot 38891111153367554795380843499$ $S_{33}$ (as 33T162) not computed $$
33.3.170...487.1 $ x^{33} - 5 x - 1 $ $-\,40857347\cdot 123238837\cdot 33\!\cdots\!33$ $S_{33}$ (as 33T162) not computed $$
33.1.170...513.1 $ x^{33} + 5 x - 1 $ $59\cdot 107\cdot 113\cdot 167\cdot 9170594383\cdot 510233763264227\cdot 1295992890923813\cdot 235510051675084013415407$ $S_{33}$ (as 33T162) not computed $$
33.1.170...433.1 $ x^{33} + 5 x - 3 $ $1297\cdot 12431057\cdot 17435333\cdot 170510057517160450557111079\cdot 3549619313840451585263090411$ $S_{33}$ (as 33T162) not computed $$
33.1.334...897.1 $ x^{33} + 3 x - 5 $ $3^{33}\cdot 37\cdot 643\cdot 390353972345549\cdot 2624049677604259\cdot 2465544740666077701019$ $S_{33}$ (as 33T162) not computed $$
33.1.283...625.1 $ x^{33} - 5 x - 5 $ $5^{32}\cdot 20333\cdot 35554829\cdot 26184343821271\cdot 6434496458277638628370639$ $S_{33}$ (as 33T162) not computed $$
33.1.300...177.1 $ x^{33} - 3 x - 5 $ $3^{33}\cdot 79\cdot 263\cdot 465137788789\cdot 55\!\cdots\!83$ $S_{33}$ (as 33T162) not computed $$
33.1.300...625.1 $ x^{33} - 5 $ $3^{33}\cdot 5^{32}\cdot 11^{33}$ $S_3\times F_{11}$ (as 33T11) not computed $$
33.1.300...601.1 $ x^{33} + x - 5 $ $17\cdot 947963\cdot 2718169\cdot 899817429526243\cdot 49025681184056655667\cdot 1555626574856691502779379$ $S_{33}$ (as 33T162) not computed $$
33.1.300...417.1 $ x^{33} + 2 x - 5 $ $347\cdot 21709529\cdot 39\!\cdots\!59$ $S_{33}$ (as 33T162) not computed $$
33.1.317...625.1 $ x^{33} + 5 x - 5 $ $5^{32}\cdot 271\cdot 5918259675491\cdot 101848657603787\cdot 835125266081452453199$ $S_{33}$ (as 33T162) not computed $$
33.33.236...601.1 $ x^{33} - 8 x^{32} - 86 x^{31} + 690 x^{30} + 3527 x^{29} + \cdots + 90889 $ $7^{22}\cdot 67^{30}$ $C_{33}$ (as 33T1) trivial $503657750536712100000000000$
33.33.365...601.1 $ x^{33} - x^{32} - 96 x^{31} + 217 x^{30} + 3795 x^{29} + \cdots - 2947097 $ $199^{32}$ $C_{33}$ (as 33T1) trivial $194708110268326050000000000$
33.33.458...889.1 $ x^{33} - 8 x^{32} - 114 x^{31} + 1061 x^{30} + \cdots + 8460460991 $ $23^{30}\cdot 31^{22}$ $C_{33}$ (as 33T1) trivial $478444878328119400000000000$
33.33.225...481.1 $ x^{33} - 8 x^{32} - 136 x^{31} + 1010 x^{30} + \cdots + 3109630591 $ $23^{30}\cdot 37^{22}$ $C_{33}$ (as 33T1) not computed $$
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