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Results (42 matches)

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Label Polynomial Discriminant Galois group Class group
30.0.203...531.1 x30 - x + 1 \( -\,7\cdot 4547\cdot 625861750823\cdot 40306090892659\cdot 253230129277627 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.208...469.1 x30 - x - 1 \( 4421\cdot 22659339443160463\cdot 2080906233684319160584903 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.275...081.1 x30 - 4x - 1 \( 1657\cdot 56091358577718162989\cdot 29663564839667553243668426797 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.275...456.1 x30 - 2x - 1 \( 2^{31}\cdot 309259\cdot 14808181703558627\cdot 280341823437737461079 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.0.525...544.1 x30 - 4x + 4 \( -\,2^{30}\cdot 23\cdot 2126308559587001689801659642837781907544197 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.580...456.1 x30 - 4x - 4 \( 2^{30}\cdot 11\cdot 19\cdot 163\cdot 1523\cdot 192007\cdot 2905267\cdot 16453379\cdot 331846583\cdot 341971373 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.0.107...544.1 x30 - 2x + 2 \( -\,2^{30}\cdot 4261\cdot 1538746509977\cdot 15309443470070730473327119823 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.0.110...531.1 x30 - x + 2 \( -\,16069\cdot 6878894757470844034894939875875174048495176045399 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.113...456.1 x30 - 2x - 2 \( 2^{30}\cdot 31\cdot 1493\cdot 294391\cdot 7743922161827546044216740165330673 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.528...381.1 x30 - 3x + 1 \( 3^{30}\cdot 7\cdot 83\cdot 547\cdot 8079388286476418501045691928532147267 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.528...381.1 x30 - 3x - 1 \( 3^{31}\cdot 2579\cdot 3847572842487629\cdot 86254644893658285239753 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.528...381.1 x30 - 3x - 2 \( 3^{30}\cdot 31\cdot 1769381441963\cdot 46821958249121311829160660473 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.0.136...619.1 x30 - 3x + 3 \( -\,3^{30}\cdot 13\cdot 5081745477824752989649090137328383374885887 \) $S_{30}$ (as 30T5712) $[2]$ (GRH)
30.0.141...544.1 x30 - 2x + 3 \( -\,2^{31}\cdot 4447\cdot 21434117\cdot 86927089867957\cdot 794138426549944803348421 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.0.141...531.1 x30 - x + 3 \( -\,13\cdot 179\cdot 560893979\cdot 1599364314633798641\cdot 6769077172765732520137982927 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.141...469.1 x30 - x - 3 \( 277\cdot 400264301\cdot 5331180702097\cdot 132214342318352251\cdot 180811241978611351 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.146...381.1 x30 - 3x - 3 \( 3^{30}\cdot 883\cdot 468509\cdot 30594564677969\cdot 5625294473757709912283 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.490...789.1 x30 - x - 4 \( 313\cdot 1553\cdot 2467\cdot 408984714634382156915687128942520668312227370530703 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.296...744.1 x30 - 4x + 2 \( 2^{59}\cdot 1847\cdot 15727\cdot 398407\cdot 551671\cdot 2918921\cdot 275568568450197721 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.296...744.1 x30 - 4x + 1 \( 2^{30}\cdot 7\cdot 149\cdot 8329\cdot 14869697\cdot 24084784266299\cdot 886175540693210057361991 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.296...744.1 x30 - 4x - 2 \( 2^{59}\cdot 31\cdot 101\cdot 36470152085223887711\cdot 44972943052468912543 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.297...744.1 x30 - 4x - 3 \( 2^{30}\cdot 47\cdot 113\cdot 70468441\cdot 118739592888857\cdot 62336633454993137535840733 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.0.148...136.1 x30 - 2x + 4 \( -\,2^{28}\cdot 4899563\cdot 468731357\cdot 5400051347\cdot 4456544800255361855961256703 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.148...864.1 x30 - 2x - 4 \( 2^{28}\cdot 11\cdot 2579\cdot 1948199793180973091335796507968621672062145867901 \) $S_{30}$ (as 30T5712) n/a
30.0.593...619.1 x30 - 3x + 4 \( -\,3^{30}\cdot 4329008673689392661\cdot 66580556933815696116855581671 \) $S_{30}$ (as 30T5712) $[2]$ (GRH)
30.0.593...531.1 x30 - x + 4 \( -\,288817\cdot 111899407981\cdot 6492534437104925213\cdot 282821607796117415613307931 \) $S_{30}$ (as 30T5712) $[2]$ (GRH)
30.2.239...125.1 x30 - 5x + 3 \( 5^{30}\cdot 21713739362807\cdot 118250980997440906149013156123 \) $S_{30}$ (as 30T5712) n/a
30.2.239...125.1 x30 - 5x + 2 \( 5^{30}\cdot 167\cdot 2357\cdot 6094873\cdot 26805343\cdot 39928211377608794948777 \) $S_{30}$ (as 30T5712) n/a
30.2.239...125.1 x30 - 5x + 1 \( 5^{30}\cdot 7\cdot 5801\cdot 3546119\cdot 17831493849226271130635818385621 \) $S_{30}$ (as 30T5712) n/a
30.2.239...125.1 x30 - 5x - 1 \( 5^{31}\cdot 10309974007\cdot 49809750275177607143367885979807 \) $S_{30}$ (as 30T5712) n/a
30.2.239...125.1 x30 - 5x - 2 \( 5^{30}\cdot 31\cdot 43441\cdot 1906691503180731813087022084752319811 \) $S_{30}$ (as 30T5712) n/a
30.2.239...125.1 x30 - 5x - 3 \( 5^{30}\cdot 13\cdot 5801281\cdot 34046874574873365201475419661436609 \) $S_{30}$ (as 30T5712) n/a
30.2.245...125.1 x30 - 5x - 4 \( 5^{30}\cdot 11\cdot 839\cdot 1871\cdot 2027569\cdot 75159493718018483766865870303 \) $S_{30}$ (as 30T5712) n/a
30.0.426...291.1 x30 - 3x + 5 \( -\,3^{29}\cdot 71\cdot 467\cdot 51628578737\cdot 9899468832468151\cdot 3663798440144491003 \) $S_{30}$ (as 30T5712) n/a
30.0.958...136.1 x30 - 2x + 5 \( -\,2^{31}\cdot 27697516504717\cdot 161189623390592288097213202537300077892721 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.0.359...875.1 x30 - 5x + 5 \( -\,5^{30}\cdot 22824228476857\cdot 1691647115472857190280342038283 \) $S_{30}$ (as 30T5712) n/a
30.0.383...256.1 x30 - 4x + 5 \( -\,2^{30}\cdot 71\cdot 109\cdot 128047\cdot 65725731723640882837\cdot 548333383871954330575047389 \) $S_{30}$ (as 30T5712) n/a
30.0.383...531.1 x30 - x + 5 \( -\,17\cdot 47\cdot 16981\cdot 2826556858296592645707884592131201321956420421866275558649 \) $S_{30}$ (as 30T5712) n/a
30.2.383...469.1 x30 - x - 5 \( 23\cdot 107\cdot 352188553406401\cdot 44246703173900112184165555414284317559667420529 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.383...456.1 x30 - 2x - 5 \( 2^{31}\cdot 49823\cdot 4049666919614429899\cdot 88509262710421943273744704806461 \) $S_{30}$ (as 30T5712) trivial (GRH)
30.2.383...381.1 x30 - 3x - 5 \( 3^{30}\cdot 2477\cdot 75197625147671318646027910602272190040781641697 \) $S_{30}$ (as 30T5712) n/a
30.2.407...125.1 x30 - 5x - 5 \( 5^{30}\cdot 5217677\cdot 8384174139581850531292341058047674497 \) $S_{30}$ (as 30T5712) $[2]$ (GRH)
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