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Results (42 matches)

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Label Polynomial Discriminant Galois group Class group
31.1.168...431.1 x31 - x - 1 \( -\,4211\cdot 107951341831\cdot 1040542609867\cdot 35650774802780191673 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.172...431.1 x31 + x - 1 \( -\,107\cdot 349\cdot 462605180698333957063188362720170172617217 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.365...111.1 x31 + 2x - 1 \( -\,71\cdot 6073\cdot 8474625661533192403662320259499088047260537017 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.174...144.1 x31 - 4x - 4 \( -\,2^{30}\cdot 29161973\cdot 14898732471895043\cdot 37391233052164359356929 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.178...144.1 x31 - 2x - 2 \( -\,2^{30}\cdot 937\cdot 17777365919459912442487345815431499206024263 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.183...144.1 x31 - x - 2 \( -\,2^{31}\cdot 1433\cdot 3653617274537267\cdot 1630096334391835835360875373 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.183...519.1 x31 - x - 4 \( -\,23\cdot 1693\cdot 3697\cdot 19843\cdot 14132537\cdot 75771043\cdot 5991663366536301415229073661 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.187...144.1 x31 + 2x - 2 \( -\,2^{30}\cdot 11\cdot 1489\cdot 1499\cdot 23334601\cdot 28850169461\cdot 1057614572100224186051 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.192...144.1 x31 + 4x - 4 \( -\,2^{30}\cdot 7\cdot 90373\cdot 161611\cdot 54687761\cdot 3200213985295117341572815151 \) $S_{31}$ (as 31T12) trivial (GRH)
31.3.127...569.1 x31 - 3x - 1 \( 7\cdot 17\cdot 23\cdot 15726392777460683\cdot 2954558696113433838143509264321373433139 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.127...431.1 x31 + 3x - 1 \( -\,43\cdot 39047\cdot 455317\cdot 317197259\cdot 45044106017368643\cdot 11642845821394330173359 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.127...144.1 x31 + 3x - 2 \( -\,2^{31}\cdot 59\cdot 316799009\cdot 3168789797431193875936087552428199953263 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.338...719.1 x31 - 3x - 3 \( -\,3^{30}\cdot 7\cdot 2713\cdot 14387\cdot 3413878991\cdot 72413150415649\cdot 243568924508677 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.351...719.1 x31 - 2x - 3 \( -\,3^{30}\cdot 1069\cdot 745011551\cdot 21432446223951881420287139805088549 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.351...719.1 x31 - x - 3 \( -\,3^{31}\cdot 571\cdot 9964491611630610016702068318189909373055887 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.351...719.1 x31 + x - 3 \( -\,3^{30}\cdot 19\cdot 3539\cdot 253850688281305110849193840499982373195591 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.364...719.1 x31 + 3x - 3 \( -\,3^{30}\cdot 678106210770691935341\cdot 26082709826393492021802491 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.194...831.1 x31 + 4x - 3 \( -\,3^{30}\cdot 59\cdot 10709\cdot 149508953636113788369933546329314530107849 \) $S_{31}$ (as 31T12) trivial (GRH)
31.3.949...856.1 x31 - 4x - 2 \( 2^{30}\cdot 2383\cdot 371085044823230927769982392525957604255428134265743 \) $S_{31}$ (as 31T12) trivial (GRH)
31.3.949...569.1 x31 - 4x - 1 \( 24365060088671\cdot 38969953357125920236474466375786993070484887309439 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.949...431.1 x31 + 4x - 1 \( -\,7\cdot 135643607885582748912139328064133136944377575579902108006390633 \) $S_{31}$ (as 31T12) $[2]$ (GRH)
31.1.949...144.1 x31 + 4x - 2 \( -\,2^{30}\cdot 7\cdot 195469\cdot 212031575390627\cdot 3048042651910299213783523530349391 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.491...664.1 x31 - 2x - 4 \( -\,2^{58}\cdot 18637\cdot 915875630752789281544501521474611366045713 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.491...664.1 x31 + 2x - 4 \( -\,2^{58}\cdot 11\cdot 1551743102827885279734219200217845225735955971 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.196...656.1 x31 - 3x - 4 \( -\,2^{30}\cdot 7\cdot 81987621103882733\cdot 1994715371164304797\cdot 16009667507940703067 \) $S_{31}$ (as 31T12) n/a
31.1.196...656.1 x31 + x - 4 \( -\,2^{30}\cdot 103\cdot 1946342156463328037\cdot 91423104509461892642018507223348779 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.106...191.1 x31 + 5x - 3 \( -\,3^{30}\cdot 43\cdot 16293623473\cdot 738487392300001178494609875436847461381 \) $S_{31}$ (as 31T12) n/a
31.1.239...536.1 x31 + 5x - 2 \( -\,2^{30}\cdot 13\cdot 17\cdot 27768997\cdot 113656553679773909591\cdot 320037570123859568648600917 \) $S_{31}$ (as 31T12) trivial (GRH)
31.3.958...281.1 x31 - 5x - 3 \( 3^{30}\cdot 13\cdot 16690100963\cdot 21461804096776561542209810433141867740951 \) $S_{31}$ (as 31T12) trivial (GRH)
31.3.958...856.1 x31 - 5x - 2 \( 2^{31}\cdot 15619263033943\cdot 55942004669294094613\cdot 510951109592180719533133 \) $S_{31}$ (as 31T12) trivial (GRH)
31.3.958...569.1 x31 - 5x - 1 \( 13\cdot 1877\cdot 25841\cdot 202437701896105219\cdot 7511028960944005414303516302480340104011 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.958...431.1 x31 + 5x - 1 \( -\,59\cdot 18439\cdot 881289102744110386293905412126357417594625469623669170959531 \) $S_{31}$ (as 31T12) n/a
31.1.978...656.1 x31 + 5x - 4 \( -\,2^{30}\cdot 105767\cdot 8615525986511577652263541855966909992591146411829707 \) $S_{31}$ (as 31T12) n/a
31.1.149...375.1 x31 - 5x - 5 \( -\,5^{30}\cdot 443\cdot 26931473971\cdot 1344413583720602215290496879684127 \) $S_{31}$ (as 31T12) n/a
31.1.158...375.1 x31 - 4x - 5 \( -\,5^{30}\cdot 139\cdot 162071227763491\cdot 757645147032594015522973305823 \) $S_{31}$ (as 31T12) n/a
31.1.158...375.1 x31 - 3x - 5 \( -\,5^{30}\cdot 7\cdot 43132069\cdot 56534580516849828090624310058612141173 \) $S_{31}$ (as 31T12) n/a
31.1.158...375.1 x31 - 2x - 5 \( -\,5^{30}\cdot 17069174130722761205983043489446656855461871583 \) $S_{31}$ (as 31T12) n/a
31.1.158...375.1 x31 - x - 5 \( -\,5^{31}\cdot 3413834826144647191722084391027918804537366931 \) $S_{31}$ (as 31T12) n/a
31.1.158...375.1 x31 + x - 5 \( -\,5^{30}\cdot 19\cdot 173\cdot 2149711\cdot 2415642857167545477712001227465640951 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.158...375.1 x31 + 2x - 5 \( -\,5^{30}\cdot 11\cdot 71\cdot 311\cdot 1667\cdot 209394034439\cdot 201326610321383981030559113 \) $S_{31}$ (as 31T12) trivial (GRH)
31.1.158...375.1 x31 + 3x - 5 \( -\,5^{30}\cdot 190717\cdot 89500014509848177049348847226206678434059 \) $S_{31}$ (as 31T12) n/a
31.1.168...375.1 x31 + 5x - 5 \( -\,5^{30}\cdot 13\cdot 23\cdot 863\cdot 91923297263327\cdot 763023859796690773329733469 \) $S_{31}$ (as 31T12) n/a
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