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Results (displaying all 30 matches)

Label Polynomial Discriminant Galois group Class group
22.2.1249711388122384634961076169998336.1 x22 + 11x20 + 55x18 + 154x16 + 253x14 + 253x12 + 209x10 + 187x8 + 77x6 + 33x2 - 4 \( 2^{20}\cdot 11^{26} \) 22T34 Trivial (GRH)
22.2.1249711388122384634961076169998336.2 x22 - 44x16 - 11x14 - 88x12 + 264x10 - 275x8 + 154x6 - 55x4 + 11x2 - 1 \( 2^{20}\cdot 11^{26} \) 22T34 Trivial (GRH)
22.10.24111231168499845791571893752356143104.1 x22 - 11x20 + 33x18 - 11x16 - 22x14 - 22x12 - 80x11 - 22x10 - 22x8 - 11x6 + 33x4 - 11x2 + 1 \( 2^{20}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.10.385779698695997532665150300037698289664.1 x22 - 132x18 + 4400x14 - 3696x12 - 32384x10 + 9152x8 + 57728x6 + 30976x4 + 2816x2 - 256 \( 2^{24}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.14.385779698695997532665150300037698289664.1 x22 - 220x18 - 572x16 + 6468x14 - 880x12 - 27676x10 + 33396x8 - 15136x6 + 2904x4 - 176x2 - 4 \( 2^{24}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.10.1543118794783990130660601200150793158656.1 x22 - 11x20 - 253x18 - 605x16 + 3234x14 + 9042x12 - 462x10 - 16918x8 - 13475x6 - 1859x4 + 583x2 - 25 \( 2^{26}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.14.1543118794783990130660601200150793158656.1 x22 - 33x20 + 143x18 - 22x17 + 385x16 - 2222x15 - 902x14 + 14586x13 - 3234x12 + 94x11 - 39512x10 - 28006x9 + 136862x8 - 99286x7 - 30151x6 + 136136x5 - 99561x4 - 13794x3 + 44385x2 - 17182x + 2039 \( 2^{26}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.10.1543118794783990130660601200150793158656.2 x22 + 33x20 + 363x18 + 1243x16 - 2310x14 - 14278x12 + 9878x10 + 25718x8 - 7051x6 - 363x4 + 143x2 - 1 \( 2^{26}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.10.6172475179135960522642404800603172634624.1 x22 - 88x18 - 66x17 - 616x16 + 638x15 + 44x14 - 748x13 + 5742x12 - 11648x11 + 23980x10 + 49368x9 - 145508x8 - 89232x7 + 242308x6 + 64240x5 - 174680x4 + 21120x3 + 76296x2 - 33704x - 27476 \( 2^{28}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.14.6172475179135960522642404800603172634624.1 x22 - 33x20 - 44x19 + 253x18 + 660x17 + 1177x16 + 2992x15 - 2266x14 - 27214x13 - 75812x12 - 258772x11 - 808192x10 - 1679018x9 - 2491038x8 - 3007114x7 - 3012009x6 - 2244528x5 - 1081113x4 - 281710x3 - 22011x2 + 4268x + 561 \( 2^{28}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.6.6172475179135960522642404800603172634624.1 x22 + 22x20 - 44x19 + 176x18 - 242x17 + 506x16 - 726x15 + 528x14 - 5214x13 + 3894x12 + 316x11 - 23716x10 - 10472x9 + 82962x8 + 101090x7 - 82456x6 - 170368x5 - 12100x4 + 75504x3 + 37510x2 + 6776x + 242 \( 2^{28}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.10.6172475179135960522642404800603172634624.2 x22 - 11x20 - 165x18 - 165x16 + 1650x14 + 3234x12 - 1386x10 - 5610x8 - 1815x6 + 1265x4 + 495x2 - 1 \( 2^{28}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.6.6172475179135960522642404800603172634624.2 x22 - 308x18 - 3080x16 - 7040x14 + 42944x12 + 292600x10 + 659120x8 + 536096x6 - 125532x4 - 335060x2 - 70756 \( 2^{28}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.10.6172475179135960522642404800603172634624.3 x22 - 11x20 - 77x18 + 1023x16 + 242x14 - 23474x12 + 26906x10 + 168850x8 - 176627x6 - 388443x4 - 145761x2 - 9409 \( 2^{28}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.10.24689900716543842090569619202412690538496.1 x22 - 132x18 - 44x16 + 5280x14 + 3344x12 - 61600x10 - 57904x8 + 6512x6 + 6336x4 - 880x2 - 16 \( 2^{30}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.14.24689900716543842090569619202412690538496.1 x22 - 11x20 - 55x18 - 154x17 + 517x16 + 1628x15 + 3058x14 + 2332x13 - 6160x12 - 33934x11 - 105996x10 - 79684x9 + 136972x8 + 243364x7 + 221111x6 + 106920x5 - 143297x4 - 191466x3 - 62843x2 - 5258x + 245 \( 2^{30}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.6.24689900716543842090569619202412690538496.1 x22 - 22x18 + 88x16 - 484x15 - 1232x14 - 352x13 - 8448x12 - 11888x11 + 8712x10 - 54208x9 + 42592x8 + 256608x7 - 547888x6 - 399168x5 + 878944x4 - 1636800x3 - 2798048x2 + 297088x + 734816 \( 2^{30}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.10.24689900716543842090569619202412690538496.2 x22 + 33x20 + 275x18 - 341x16 - 7062x14 - 1430x12 + 44902x10 + 9878x8 - 41371x6 + 10373x4 + 1463x2 - 81 \( 2^{30}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.14.24689900716543842090569619202412690538496.2 x22 - 44x20 - 22x19 + 660x18 + 704x17 - 4048x16 - 8448x15 + 10516x14 + 48312x13 - 15180x12 - 118720x11 + 17776x10 + 67408x9 + 84392x8 + 3696x7 - 151976x6 - 9328x5 + 131648x4 + 71104x3 + 8976x2 - 704x - 48 \( 2^{30}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.10.24689900716543842090569619202412690538496.3 x22 - 11x20 - 165x18 + 1683x16 + 8118x14 - 63734x12 - 113718x10 + 74822x8 + 126665x6 - 20383x4 - 18293x2 - 1369 \( 2^{30}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.14.24689900716543842090569619202412690538496.3 x22 - 11x20 - 44x19 - 33x18 + 748x17 + 869x16 - 3630x15 - 6578x14 + 7018x13 + 25894x12 - 17722x11 - 24992x10 - 3784x9 + 25476x8 + 25014x7 - 29799x6 - 9218x5 + 10329x4 + 1870x3 - 1133x2 - 264x - 13 \( 2^{30}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.14.24689900716543842090569619202412690538496.4 x22 - 22x20 - 22x19 - 44x18 - 374x17 + 2970x16 + 15444x15 + 2442x14 - 88748x13 - 127732x12 + 115336x11 + 383570x10 + 156442x9 - 287386x8 - 325028x7 - 118162x6 + 23628x5 + 120978x4 + 79508x3 - 17270x2 - 9416x + 1554 \( 2^{30}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.18.395038411464701473449113907238603048615936.1 x22 - 33x20 + 429x18 - 2673x16 + 6578x14 + 12122x12 - 121726x10 + 319682x8 - 379335x6 + 172667x4 + 11253x2 - 20449 \( 2^{34}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.18.1580153645858805893796455628954412194463744.1 x22 - 11x20 - 319x18 + 7183x16 - 57794x14 + 234762x12 - 526174x10 + 651002x8 - 398827x6 + 67529x4 + 26565x2 - 3721 \( 2^{36}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.2.1580153645858805893796455628954412194463744.1 x22 + 55x20 + 1199x18 + 13299x16 + 81114x14 + 279642x12 + 532422x10 + 491194x8 + 80201x6 - 190157x4 - 119053x2 - 18225 \( 2^{36}\cdot 7^{10}\cdot 11^{22} \) 22T34 $[8]$ (GRH)
22.6.1580153645858805893796455628954412194463744.1 x22 + 11x20 - 121x18 - 1441x16 + 110x14 + 39314x12 + 149490x10 + 224906x8 + 145937x6 + 38907x4 + 3267x2 - 1 \( 2^{36}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.2.6320614583435223575185822515817648777854976.1 x22 + 55x20 + 1177x18 + 12639x16 + 73898x14 + 237402x12 + 390258x10 + 246906x8 - 33011x6 - 40249x4 - 451x2 - 1 \( 2^{38}\cdot 7^{10}\cdot 11^{22} \) 22T34 $[20]$ (GRH)
22.22.101129833334963577202973160253082380445679616.1 x22 - 55x20 + 1221x18 - 14333x16 + 98318x14 - 409706x12 + 1039852x10 - 1564134x8 + 1316293x6 - 561011x4 + 96041x2 - 1369 \( 2^{42}\cdot 7^{10}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.22.1278273961469929524012752319464038269977012207616.1 x22 - 66x20 + 1749x18 - 24354x16 + 196152x14 - 948684x12 + 2777841x10 - 4888422x8 + 5096619x6 - 3028806x4 + 931491x2 - 112896 \( 2^{52}\cdot 3^{20}\cdot 11^{22} \) 22T34 Trivial (GRH)
22.10.2974455940506282473588147332653722244263440285696.1 x22 - 77x20 + 385x18 + 56595x16 - 405328x14 - 3856006x12 + 12948936x10 + 100520266x8 - 11911361x6 - 778886801x4 - 1356442549x2 - 697540921 \( 2^{40}\cdot 7^{16}\cdot 11^{22} \) 22T34 Trivial (GRH)


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