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Results (displaying all 40 matches)

Label Polynomial Discriminant Galois group Class group
29.1.2534540630047957759699255486477651520670733.1 x29 - x - 1 \( 41393681953973\cdot 61230132484136034758796880121 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.8948737504120671477993534661511237990596936204288.1 x29 + 4x - 4 \( 2^{28}\cdot 27325532669\cdot 1219981524656697632736241282817 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.17794869790215571810758429845540237722220204018701.1 x29 + 2x - 1 \( 461801\cdot 20212226753\cdot 3536300443131271\cdot 539109057311673427 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.26146730757746268604771485057902487410941420896256.1 x29 - 4x - 4 \( 2^{28}\cdot 53\cdot 179\cdot 10267119471732676863546062197607495323 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.671463136166186133768834421731274208264739599941632.1 x29 - 2x - 2 \( 2^{28}\cdot 3\cdot 11\cdot 563\cdot 134635615853097819303336173003083422943 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.689258003355570029305128342152413503002579071664128.1 x29 - x - 2 \( 2^{28}\cdot 23\cdot 2505541501481\cdot 44556647066894154934970530051 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.689258003388715552294905021323738295429713895620608.1 x29 - x - 4 \( 2^{30}\cdot 13\cdot 3373\cdot 84163\cdot 173940633187564199922371542429441 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.707052870611244971067929012298698254247147755012096.1 x29 + 2x - 2 \( 2^{28}\cdot 499\cdot 541\cdot 695389\cdot 2739817\cdot 5913513689\cdot 866002650952007 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.3.2274789759216463037320759498792527390442169528114066419.1 x29 - 3x - 1 \( -\,19\cdot 157273\cdot 116400694409\cdot 6540002603845429295048615140626894593 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.2274789759221598409627081921061651046871631560367033357.1 x29 + 3x - 1 \( 17\cdot 41\cdot 74959\cdot 160217\cdot 2662789\cdot 25396823\cdot 76318073627\cdot 52654144463043283 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.2275479017222419439026339091644104204888156487918026752.1 x29 + 3x - 2 \( 2^{28}\cdot 8447\cdot 1003530236440432082546482634511606676653811 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.56465633456127198798358813489589629057788939128252989821.1 x29 - 3x - 3 \( 3^{28}\cdot 13\cdot 41\cdot 389\cdot 1619\cdot 4483\cdot 202067\cdot 1052207903\cdot 7714356793195489 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.56529861506972062159162236492963947280952164588608535237.1 x29 + 4x - 1 \( 3\cdot 258439534144219859900797151\cdot 72911782755634284235524422729 \) $S_{29}$ (as 29T8) $[2]$ (GRH)
29.1.58740405420479006992414084652221434564422848468416004477.1 x29 - 2x - 3 \( 43\cdot 907\cdot 40322333\cdot 5439157486181\cdot 6867266657725622021109001049749 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.58740423215346196376309620946141855703717586307887726973.1 x29 - x - 3 \( 179\cdot 373\cdot 277813\cdot 42259019123\cdot 2243721410717\cdot 33399064272490942843393 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.58740423215346262667355847452891580849174093037099352445.1 x29 + x - 3 \( 5\cdot 11\cdot 16381\cdot 127865750920013\cdot 1994744457920647\cdot 255618611114956521989 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.61015212974565260245306654909443807495102740216734089597.1 x29 + 3x - 3 \( 3^{28}\cdot 119533\cdot 419161\cdot 53232187366908496998206741390729 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.3.9553545905420272548496712387718055513666469828515038494720.1 x29 - 4x - 2 \( -\,2^{28}\cdot 5\cdot 7117946375474536827576691201119166250278405717399 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.3.9553546594678273369526111644888637966824486353442589488115.1 x29 - 4x - 1 \( -\,5\cdot 71\cdot 1070754779627347\cdot 25133111119629637924203464052947473855979 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.9553547283936279325927817224481489543638932340402393448448.1 x29 + 4x - 2 \( 2^{28}\cdot 3\cdot 3783589506654278873\cdot 3135447344393691704372001950407 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.9612287017893622166734097540299289246929146924131209511293.1 x29 + 4x - 3 \( 3744524429\cdot 8675517281441\cdot 295892994260421814018306476982622737 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.46255321605876134336297695084858373134299667695653709938688.1 x29 - 2x - 4 \( 2^{54}\cdot 3\cdot 151\cdot 1208109059\cdot 4691779529989938182463888683491 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.46255321614773567947562404409632020776155679191255748706304.1 x29 + 2x - 4 \( 2^{54}\cdot 853\cdot 133051\cdot 22624279891052931716065193190632827 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.185019011651540185536996725068270860731692036873274676740096.1 x29 - 3x - 4 \( 2^{57}\cdot 71\cdot 14785399\cdot 5818658096101217\cdot 210180474110289901 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.185021286441299404600865722102234162683483422027183523102720.1 x29 + x - 4 \( 2^{57}\cdot 3\cdot 5\cdot 5205763\cdot 56893477\cdot 288984011824906401353807959 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.1543458696312913698675051161307795429253746557813985919369216.1 x29 + 5x - 2 \( 2^{26}\cdot 337\cdot 709\cdot 224066062071001\cdot 7834502381769247\cdot 54834197285853919 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.3.6173776044139181445081967260078600483281723554160327506460291.1 x29 - 5x - 3 \( -\,17\cdot 640949\cdot 12442531\cdot 15716663\cdot 2897406320048726202827323835684675345659 \) $S_{29}$ (as 29T8) n/a
29.3.6173834783873138787922773540394418282985013768744056322523136.1 x29 - 5x - 2 \( -\,2^{28}\cdot 3\cdot 47\cdot 19231\cdot 1239599\cdot 17156593\cdot 53138329\cdot 7505402452445630661805687 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.3.6173834784562396788743802939651588865438171785268983873516531.1 x29 - 5x - 1 \( -\,3\cdot 9533\cdot 2608914479\cdot 82745486276580889140961704645736700550611234411 \) $S_{29}$ (as 29T8) n/a
29.1.6173893524985612137541010925546999516718276445839672493539709.1 x29 + 5x - 3 \( 23\cdot 79\cdot 107\cdot 931421\cdot 23882194037539\cdot 1427579104021681143732218630118134569 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.6358856071003696195879209291801780787820910693773818917289984.1 x29 + 5x - 4 \( 2^{57}\cdot 37\cdot 1397743\cdot 853179068682579746198218224556362467 \) $S_{29}$ (as 29T8) n/a
29.1.9942214263789125036236993858649470315293259918689727783203125.1 x29 - 5x - 5 \( 5^{28}\cdot 17\cdot 401\cdot 578483771\cdot 67676598636720696780695919103 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.95644209612069843841507221555851933065110686567123091332856541.1 x29 - 4x - 5 \( 167\cdot 239\cdot 2396317230277599875767474796578857341345192958863605625557 \) $S_{29}$ (as 29T8) n/a
29.1.95653760883874762898413710346737322910550120611307005808278237.1 x29 - 3x - 5 \( 42691141\cdot 481626857\cdot 2939004407579\cdot 35136939022453\cdot 45049443348110236823 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.95653763158646727250221904402008485542355627245216345971292893.1 x29 - 2x - 5 \( 3\cdot 43\cdot 57617873845633\cdot 10667339907787007\cdot 1206421276967288581188470646307 \) $S_{29}$ (as 29T8) n/a
29.1.95653763158664522117411288297544779462776766539954185443015389.1 x29 - x - 5 \( 7976611\cdot 37252257474505795723\cdot 321907467498837092682537183194821213 \) $S_{29}$ (as 29T8) n/a
29.1.95653763158664522117477579343771286212501911996460914654640861.1 x29 + x - 5 \( 3\cdot 21937\cdot 1453461627367226179779635309352103542151037242960309289551 \) $S_{29}$ (as 29T8) Trivial (GRH)
29.1.95653763158682316984666963239307580132923051291198754126363357.1 x29 + 2x - 5 \( 249943\cdot 26856873607\cdot 14249696906693522454650828582541268055898962557 \) $S_{29}$ (as 29T8) n/a
29.1.95653765433454281336475157294578742764728557925108094289378013.1 x29 + 3x - 5 \( 95653765433454281336475157294578742764728557925108094289378013 \) $S_{29}$ (as 29T8) n/a
29.1.101827597943226918908755922913470832837639339268207550048828125.1 x29 + 5x - 5 \( 5^{28}\cdot 67\cdot 83\cdot 109\cdot 258109\cdot 17471204070644246529256292429789 \) $S_{29}$ (as 29T8) n/a


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