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Label Polynomial Discriminant Galois group Class group Regulator
34.0.116...023.1 x34 - x + 1 $-\,83\cdot 1291\cdot 12973\cdot 4134484433\cdot 64200532307\cdot 31512487292285521887257$ $S_{34}$ (as 34T115) trivial $1946991838336.107$
34.2.118...049.1 x34 - x - 1 $7\cdot 191\cdot 607\cdot 14\!\cdots\!11$ $S_{34}$ (as 34T115) trivial $2995765078540.3994$
34.0.770...296.1 x34 - 2x17 + 2 $-\,2^{50}\cdot 17^{34}$ $C_{17}:(C_2\times C_{16})$ (as 34T9) trivial $2332460652781060.5$
34.0.380...067.1 x34 - 3x17 + 3 $-\,3^{33}\cdot 17^{34}$ $C_{17}:(C_2\times C_{16})$ (as 34T9) trivial $6031882093114950.0$
34.2.221...721.1 x34 - 4x - 1 $151163\cdot 3136253\cdot 9671606647\cdot 432210572699\cdot 6906809950567\cdot 162051016270589$ $S_{34}$ (as 34T115) trivial $45896286039491820$
34.2.221...928.1 x34 - 2x - 1 $2^{35}\cdot 307\cdot 135071166289\cdot 15\!\cdots\!27$ $S_{34}$ (as 34T115) trivial $65073117810876920$
34.0.482...264.1 x34 - 4x + 4 $-\,2^{34}\cdot 41\cdot 131\cdot 149\cdot 2536801\cdot 13\!\cdots\!49$ $S_{34}$ (as 34T115) trivial $380534576916766400$
34.2.527...048.1 x34 - 4x - 4 $2^{34}\cdot 1459\cdot 2074583276749091\cdot 12353611446652867\cdot 82056584977043939$ $S_{34}$ (as 34T115) trivial $398929487841893600$
34.0.987...920.1 x34 - 2x + 2 $-\,2^{34}\cdot 5\cdot 4463\cdot 4597\cdot 1786284823\cdot 13682879113045277\cdot 2293023653476192171$ $S_{34}$ (as 34T115) trivial $659225846999345700$
34.0.100...799.1 x34 - x + 2 $-\,13\cdot 1061\cdot 192313073533859878065118129\cdot 38\!\cdots\!67$ $S_{34}$ (as 34T115) trivial $606779702973969700$
34.0.100...312.1 x34 + 2 $-\,2^{67}\cdot 17^{34}$ $C_{17}:(C_2\times C_{16})$ (as 34T9) trivial $585226461963806300$
34.2.100...312.1 x34 - 2 $2^{67}\cdot 17^{34}$ $C_{17}:(C_2\times C_{16})$ (as 34T9) trivial $504347647410496830$
34.2.103...704.1 x34 - 2x - 2 $2^{34}\cdot 371237\cdot 768749632105135909\cdot 21050019716166134869652117257$ $S_{34}$ (as 34T115) trivial $612915422175067900$
34.2.796...125.1 x34 - 5 $5^{33}\cdot 17^{34}$ $C_{17}:(C_2\times C_{16})$ (as 34T9) trivial $10116155297585506000$
34.2.215...361.1 x34 - 3x + 1 $197\cdot 10\!\cdots\!13$ $S_{34}$ (as 34T115) not computed $$
34.2.215...433.1 x34 - 3x - 1 $244429\cdot 1673257207\cdot 38358820791399678810111461\cdot 137246726042042407050370751$ $S_{34}$ (as 34T115) not computed $$
34.2.215...209.1 x34 - 3x - 2 $313\cdot 4493\cdot 100109\cdot 401951069061523\cdot 38\!\cdots\!43$ $S_{34}$ (as 34T115) not computed $$
34.0.265...823.1 x34 - x33 + 2x32 + 64x31 - 57x30 + 107x29 + 1603x28 - 1261x27 + 2206x26 + 20286x25 - 13891x24 + 22349x23 + 140429x22 - 82189x21 + 120996x20 + 538574x19 - 264119x18 + 327327x17 + 1143572x16 - 499882x15 + 128724x14 + 1425880x13 - 737516x12 - 1133952x11 + 1294431x10 - 1061173x9 - 1305757x8 + 907693x7 - 16051x6 - 713165x5 + 590348x4 + 474529x3 + 129602x2 - 93135x + 56857 $-\,103^{33}$ $C_{34}$ (as 34T1) $[5105]$ $2016418740785133.8$
34.2.270...689.1 x34 - 3x - 3 $3^{33}\cdot 37\cdot 59\cdot 1637\cdot 14076649\cdot 88307993\cdot 109350036125618252414991335369$ $S_{34}$ (as 34T115) not computed $$
34.0.632...431.1 x34 - 3x + 3 $-\,3^{33}\cdot 271\cdot 41\!\cdots\!07$ $S_{34}$ (as 34T115) not computed $$
34.0.653...936.1 x34 - 2x + 3 $-\,2^{35}\cdot 3^{33}\cdot 269\cdot 2747421509655671\cdot 462973083335522483486401$ $S_{34}$ (as 34T115) not computed $$
34.0.653...815.1 x34 - x + 3 $-\,3^{33}\cdot 5\cdot 7\cdot 89\cdot 97\cdot 397\cdot 98\!\cdots\!83$ $S_{34}$ (as 34T115) not computed $$
34.2.653...328.1 x34 - 3 $2^{34}\cdot 3^{33}\cdot 17^{34}$ $C_{17}:(C_2\times C_{16})$ (as 34T9) trivial $520979448668698900000$
34.2.653...841.1 x34 - x - 3 $3^{34}\cdot 1607\cdot 11167313250696079\cdot 21\!\cdots\!13$ $S_{34}$ (as 34T115) not computed $$
34.34.324...297.1 x34 - x33 - 66x32 + 61x31 + 1891x30 - 1607x29 - 31023x28 + 24095x27 + 323844x26 - 228291x25 - 2262360x24 + 1435905x23 + 10839684x22 - 6136823x21 - 35945371x20 + 17958849x19 + 82324817x18 - 35828109x17 - 128721615x16 + 47931532x15 + 134553261x14 - 41728477x13 - 91025976x12 + 22664245x11 + 37938129x10 - 7334043x9 - 9042178x8 + 1347387x7 + 1118049x6 - 116296x5 - 61867x4 + 1806x3 + 1328x2 + 77x + 1 $137^{33}$ $C_{34}$ (as 34T1) trivial $5641198150779374000000000$
34.2.381...816.1 x34 - 4x + 2 $2^{67}\cdot 19\cdot 211\cdot 63823\cdot 963227\cdot 10\!\cdots\!73$ $S_{34}$ (as 34T115) not computed $$
34.2.381...592.1 x34 - 4x + 1 $2^{34}\cdot 40031\cdot 890177\cdot 992441\cdot 3833841872344077247\cdot 16359429946447811440468087$ $S_{34}$ (as 34T115) not computed $$
34.2.381...440.1 x34 - 4x - 2 $2^{67}\cdot 5\cdot 109\cdot 10313\cdot 16961790757\cdot 27\!\cdots\!59$ $S_{34}$ (as 34T115) not computed $$
34.2.381...456.1 x34 - 4x - 3 $2^{34}\cdot 3^{34}\cdot 47\cdot 181\cdot 6659\cdot 23\!\cdots\!47$ $S_{34}$ (as 34T115) not computed $$
34.0.216...328.1 x34 - 2x + 4 $-\,2^{32}\cdot 50\!\cdots\!43$ $S_{34}$ (as 34T115) not computed $$
34.2.216...024.1 x34 - 2x - 4 $2^{32}\cdot 29\cdot 719\cdot 9021071\cdot 501803421221301371189\cdot 534963847310065662766809302401$ $S_{34}$ (as 34T115) not computed $$
34.0.867...191.1 x34 - x + 4 $-\,463\cdot 14791637311627073\cdot 19252730983707458016119\cdot 65\!\cdots\!11$ $S_{34}$ (as 34T115) not computed $$
34.2.867...217.1 x34 - x - 4 $7\cdot 59\cdot 71\cdot 29\!\cdots\!79$ $S_{34}$ (as 34T115) not computed $$
34.0.332...283.1 x34 - x33 + 49x32 - 162x31 + 1646x30 - 6093x29 + 37764x28 - 140505x27 + 642029x26 - 2158868x25 + 7867204x24 - 23451724x23 + 70989641x22 - 182710441x21 + 459461291x20 - 1006591547x19 + 2135502310x18 - 4017190895x17 + 7274499825x16 - 11714663796x15 + 18043531688x14 - 24702818067x13 + 32221074210x12 - 36915149197x11 + 39648896356x10 - 36487346558x9 + 31372407145x8 - 23064375767x7 + 16052201854x6 - 9172737675x5 + 4518648355x4 - 1618857168x3 + 448908855x2 - 73089631x + 8048569 $-\,3^{17}\cdot 103^{32}$ $C_{34}$ (as 34T1) not computed $$
34.2.835...033.1 x34 - 5x + 3 $3^{31}\cdot 2879\cdot 451547\cdot 77705103841531489\cdot 13\!\cdots\!27$ $S_{34}$ (as 34T115) not computed $$
34.2.751...313.1 x34 - 5x + 2 $540448112458718370989\cdot 1120554565382189936398951\cdot 124094676051448783765146935867$ $S_{34}$ (as 34T115) not computed $$
34.2.751...161.1 x34 - 5x - 1 $37\cdot 31751\cdot 416341358907437\cdot 15\!\cdots\!19$ $S_{34}$ (as 34T115) not computed $$
34.2.751...937.1 x34 - 5x - 2 $13\cdot 53\cdot 5007441207247\cdot 21\!\cdots\!39$ $S_{34}$ (as 34T115) not computed $$
34.2.751...953.1 x34 - 5x - 3 $3^{34}\cdot 71\cdot 6977\cdot 16831387\cdot 233804957\cdot 551519538743363\cdot 4191372752126305286083$ $S_{34}$ (as 34T115) not computed $$
34.2.760...329.1 x34 - 5x - 4 $41\cdot 35376678400421\cdot 24812344311226982363792027279\cdot 21\!\cdots\!91$ $S_{34}$ (as 34T115) not computed $$
34.34.342...149.1 x34 - x33 - 101x32 - 39x31 + 4475x30 + 7317x29 - 107886x28 - 308922x27 + 1428035x26 + 6473545x25 - 8038724x24 - 76649821x23 - 34999669x22 + 511384499x21 + 872682200x20 - 1610027003x19 - 5837837426x18 - 597495179x17 + 18112177824x16 + 20594193249x15 - 20555590855x14 - 57678181587x13 - 18084925848x12 + 57474448334x11 + 58215655753x10 - 9898232087x9 - 42024711035x8 - 14514531077x7 + 10323419848x6 + 7567081746x5 - 122533277x4 - 1123034742x3 - 160716846x2 + 51273995x + 10497967 $3^{17}\cdot 103^{33}$ $C_{34}$ (as 34T1) not computed $$
34.0.442...344.1 x34 + 97x32 + 4040x30 + 96737x28 + 1499007x26 + 15996211x24 + 121823703x22 + 675554879x20 + 2752450407x18 + 8237696660x16 + 17941689717x14 + 27884282812x12 + 29930432911x10 + 21101216892x8 + 9069664015x6 + 2134903778x4 + 234085541x2 + 8048569 $-\,2^{34}\cdot 103^{32}$ $C_{34}$ (as 34T1) not computed $$
34.0.129...375.1 x34 - 5x + 5 $-\,5^{33}\cdot 619\cdot 38671351\cdot 12202943359261453\cdot 38037505283446249225037203$ $S_{34}$ (as 34T115) not computed $$
34.0.136...872.1 x34 - 4x + 5 $-\,2^{34}\cdot 547\cdot 14\!\cdots\!39$ $S_{34}$ (as 34T115) not computed $$
34.0.136...103.1 x34 - 3x + 5 $-\,373\cdot 36\!\cdots\!11$ $S_{34}$ (as 34T115) not computed $$
34.0.136...000.1 x34 + 5 $-\,2^{34}\cdot 5^{33}\cdot 17^{34}$ $C_{17}:(C_2\times C_{16})$ (as 34T9) not computed $$
34.2.136...513.1 x34 - x - 5 $176357\cdot 77\!\cdots\!09$ $S_{34}$ (as 34T115) not computed $$
34.2.136...392.1 x34 - 2x - 5 $2^{35}\cdot 149309\cdot 2514616468092439\cdot 10\!\cdots\!69$ $S_{34}$ (as 34T115) not computed $$
34.2.136...897.1 x34 - 3x - 5 $79\cdot 49002700382722932199\cdot 35\!\cdots\!57$ $S_{34}$ (as 34T115) not computed $$
34.2.144...625.1 x34 - 5x - 5 $5^{33}\cdot 13\cdot 2464393\cdot 725338571\cdot 53\!\cdots\!59$ $S_{34}$ (as 34T115) not computed $$
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