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Results (1-50 of 271007 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
4.0.40389025.4 $x^{4} - x^{3} + 74 x^{2} - 200 x + 2880$ $5^{2}\cdot 17\cdot 29^{2}\cdot 113$ $D_{4}$ (as 4T3) $[1064]$ $6.359570875399758$
4.0.94381225.3 $x^{4} + 95 x^{2} + 14400$ $5^{2}\cdot 29^{2}\cdot 67^{2}$ $C_2^2$ (as 4T2) $[2, 576]$ $6.3595708754$
4.0.105987025.1 $x^{4} - 37 x^{2} + 2916$ $5^{2}\cdot 29^{2}\cdot 71^{2}$ $C_2^2$ (as 4T2) $[2, 2, 448]$ $6.3595708754$
4.0.112254025.8 $x^{4} - x^{3} + 359 x^{2} + 1145 x + 7840$ $5^{2}\cdot 13^{2}\cdot 163^{2}$ $C_2^2$ (as 4T2) $[1020]$ $5.55294456145$
4.0.116704809.3 $x^{4} + 435 x^{2} + 39204$ $3^{2}\cdot 13^{2}\cdot 277^{2}$ $C_2^2$ (as 4T2) $[2, 2, 280]$ $9.57512235999$
4.0.125498225.2 $x^{4} - x^{3} + 133 x^{2} + 713 x + 2754$ $5^{2}\cdot 29^{2}\cdot 47\cdot 127$ $D_{4}$ (as 4T3) $[1128]$ $6.359570875399758$
4.0.128142400.4 $x^{4} + 278 x^{2} + 20736$ $2^{6}\cdot 5^{2}\cdot 283^{2}$ $C_2^2$ (as 4T2) $[1020]$ $3.63689291846$
4.0.130841097.1 $x^{4} - x^{3} + 18 x^{2} + 496 x + 5984$ $3\cdot 131\cdot 577^{2}$ $D_{4}$ (as 4T3) $[1036]$ $7.743269512775463$
4.0.133837305.2 $x^{4} - 2 x^{3} + 83 x^{2} - 82 x + 552$ $3\cdot 5\cdot 7\cdot 1129^{2}$ $D_{4}$ (as 4T3) $[2, 522]$ $11.634240035110537$
4.0.139393600.1 $x^{4} - 2 x^{3} + 167 x^{2} + 104 x + 5784$ $2^{6}\cdot 5^{2}\cdot 87121$ $D_{4}$ (as 4T3) $[2, 574]$ $3.63689291846$
4.0.149382625.1 $x^{4} - x^{3} + 236 x^{2} + 1024 x + 9216$ $5^{3}\cdot 7^{2}\cdot 29^{3}$ $C_4$ (as 4T1) $[2, 4, 4, 52]$ $6.3595708754$
4.0.150798400.4 $x^{4} + 302 x^{2} + 24336$ $2^{6}\cdot 5^{2}\cdot 307^{2}$ $C_2^2$ (as 4T2) $[1292]$ $3.63689291846$
4.0.153924025.2 $x^{4} - 2 x^{3} + 233 x^{2} - 232 x + 4176$ $5^{2}\cdot 29^{2}\cdot 7321$ $D_{4}$ (as 4T3) $[1672]$ $6.359570875399758$
4.0.154529761.2 $x^{4} - 185 x^{2} + 11664$ $31^{2}\cdot 401^{2}$ $C_2^2$ (as 4T2) $[1155]$ $7.37900773798$
4.0.154753600.2 $x^{4} - 2 x^{3} + 137 x^{2} - 136 x + 7734$ $2^{6}\cdot 5^{2}\cdot 311^{2}$ $C_2^2$ (as 4T2) $[2, 2, 304]$ $3.63689291846$
4.0.163174273.1 $x^{4} + 115 x^{2} + 388$ $97\cdot 1297^{2}$ $D_{4}$ (as 4T3) $[1661]$ $8.553717928916416$
4.0.167314225.2 $x^{4} + 67 x^{2} + 4356$ $5^{2}\cdot 13^{2}\cdot 199^{2}$ $C_2^2$ (as 4T2) $[2, 18, 36]$ $5.55294456145$
4.0.170678025.1 $x^{4} - 2 x^{3} + 67 x^{2} - 66 x + 984$ $3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 113\cdot 137$ $D_{4}$ (as 4T3) $[2, 576]$ $8.81314098615395$
4.0.174108025.5 $x^{4} - x^{3} + 449 x^{2} + 1425 x + 11790$ $5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 29^{2}$ $C_2^2$ (as 4T2) $[4, 4, 64]$ $5.55294456145$
4.0.174108025.7 $x^{4} + 155 x^{2} + 22500$ $5^{2}\cdot 7^{2}\cdot 13^{2}\cdot 29^{2}$ $C_2^2$ (as 4T2) $[2, 4, 320]$ $6.3595708754$
4.0.175117225.2 $x^{4} - 2 x^{3} + 223 x^{2} - 222 x + 576$ $5^{2}\cdot 29^{2}\cdot 8329$ $D_{4}$ (as 4T3) $[2, 720]$ $6.359570875399758$
4.0.175453625.2 $x^{4} - 2 x^{3} + 169 x^{2} - 168 x + 4736$ $5^{3}\cdot 29^{2}\cdot 1669$ $D_{4}$ (as 4T3) $[2, 600]$ $6.359570875399758$
4.0.175790025.1 $x^{4} - 2 x^{3} + 87 x^{2} - 86 x + 544$ $3^{2}\cdot 5^{2}\cdot 29^{2}\cdot 929$ $D_{4}$ (as 4T3) $[2, 552]$ $6.359570875399758$
4.0.176119441.1 $x^{4} - 277 x^{2} + 22500$ $23^{2}\cdot 577^{2}$ $C_2^2$ (as 4T2) $[3, 462]$ $7.74326951278$
4.0.183873025.1 $x^{4} - x^{3} + 18 x^{2} - 72 x + 5184$ $5^{2}\cdot 7\cdot 101^{2}\cdot 103$ $D_{4}$ (as 4T3) $[1128]$ $14.777891431272318$
4.0.186050225.1 $x^{4} - 2 x^{3} + 187 x^{2} - 186 x + 5024$ $5^{2}\cdot 29^{2}\cdot 8849$ $D_{4}$ (as 4T3) $[3, 408]$ $6.359570875399758$
4.0.186773169.2 $x^{4} - x^{3} - 24 x^{2} - 60 x + 3600$ $3\cdot 11\cdot 17\cdot 577^{2}$ $D_{4}$ (as 4T3) $[14, 84]$ $7.743269512775463$
4.0.193374025.1 $x^{4} - x^{3} + 239 x^{2} - 615 x + 12600$ $5^{2}\cdot 13^{2}\cdot 37\cdot 1237$ $D_{4}$ (as 4T3) $[1020]$ $5.552944561447435$
4.0.195248689.1 $x^{4} - x^{3} + 829 x^{2} - 663 x + 169898$ $17^{2}\cdot 675601$ $D_{4}$ (as 4T3) $[1001]$ $4.1894250945222025$
4.0.200179025.2 $x^{4} - x^{3} + 184 x^{2} - 400 x + 11520$ $5^{2}\cdot 29^{2}\cdot 9521$ $D_{4}$ (as 4T3) $[4, 364]$ $6.359570875399758$
4.0.206209600.2 $x^{4} - 2 x^{3} + 161 x^{2} - 160 x + 9990$ $2^{6}\cdot 5^{2}\cdot 359^{2}$ $C_2^2$ (as 4T2) $[2, 2, 266]$ $3.63689291846$
4.0.206928225.1 $x^{4} - x^{3} + 364 x^{2} - 1980 x + 7680$ $3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 137^{2}$ $C_2^2$ (as 4T2) $[2, 504]$ $8.81314098615$
4.0.212457625.1 $x^{4} - x^{3} + 101 x^{2} - 431 x + 3786$ $5^{3}\cdot 29^{2}\cdot 43\cdot 47$ $D_{4}$ (as 4T3) $[8, 280]$ $6.359570875399758$
4.0.213580537.1 $x^{4} - 2 x^{3} + 459 x^{2} - 458 x + 46304$ $17^{2}\cdot 587\cdot 1259$ $D_{4}$ (as 4T3) $[1014]$ $4.1894250945222025$
4.0.217482600.1 $x^{4} - x^{3} + 84 x^{2} - 60 x + 3600$ $2^{3}\cdot 3\cdot 5^{2}\cdot 29^{2}\cdot 431$ $D_{4}$ (as 4T3) $[2, 520]$ $6.359570875399758$
4.0.219920041.1 $x^{4} - 2 x^{3} + 447 x^{2} - 446 x + 47672$ $11^{2}\cdot 17^{2}\cdot 19\cdot 331$ $D_{4}$ (as 4T3) $[2, 522]$ $4.1894250945222025$
4.0.221664625.1 $x^{4} - x^{3} + 321 x^{2} - 1111 x + 14726$ $5^{3}\cdot 7\cdot 13^{2}\cdot 1499$ $D_{4}$ (as 4T3) $[4, 276]$ $5.552944561447435$
4.0.225450225.7 $x^{4} + 83 x^{2} + 5476$ $3^{2}\cdot 5^{2}\cdot 7^{2}\cdot 11^{2}\cdot 13^{2}$ $C_2^2$ (as 4T2) $[4, 12, 24]$ $5.55294456145$
4.0.226426009.1 $x^{4} - 2 x^{3} + 483 x^{2} - 482 x + 49088$ $17^{2}\cdot 421\cdot 1861$ $D_{4}$ (as 4T3) $[1098]$ $4.1894250945222025$
4.0.227376241.1 $x^{4} + 435 x^{2} + 51076$ $17^{2}\cdot 887^{2}$ $C_2^2$ (as 4T2) $[1131]$ $4.18942509452$
4.0.229825600.6 $x^{4} + 374 x^{2} + 36864$ $2^{6}\cdot 5^{2}\cdot 379^{2}$ $C_2^2$ (as 4T2) $[1056]$ $3.63689291846$
4.0.230180841.1 $x^{4} - x^{3} + 481 x^{2} + 201 x + 53766$ $3^{2}\cdot 11^{2}\cdot 211369$ $D_{4}$ (as 4T3) $[1024]$ $7.6563369426662025$
4.0.230892025.1 $x^{4} - x^{3} + 243 x^{2} - 487 x + 14804$ $5^{2}\cdot 7\cdot 13^{2}\cdot 37\cdot 211$ $D_{4}$ (as 4T3) $[4, 276]$ $5.552944561447435$
4.0.231770176.7 $x^{4} - 2 x^{3} + 949 x^{2} - 948 x + 228482$ $2^{6}\cdot 11^{2}\cdot 173^{2}$ $C_2^2$ (as 4T2) $[1100]$ $1.76274717404$
4.0.238801225.1 $x^{4} - 2 x^{3} + 271 x^{2} - 270 x + 3600$ $5^{2}\cdot 13^{2}\cdot 29\cdot 1949$ $D_{4}$ (as 4T3) $[2, 2, 280]$ $5.552944561447435$
4.0.239308225.2 $x^{4} - 2 x^{3} + 177 x^{2} - 176 x + 3584$ $5^{2}\cdot 13^{3}\cdot 4357$ $D_{4}$ (as 4T3) $[1388]$ $5.552944561447435$
4.0.239537529.8 $x^{4} + 687 x^{2} + 129600$ $3^{2}\cdot 7^{2}\cdot 11^{2}\cdot 67^{2}$ $C_2^2$ (as 4T2) $[4, 264]$ $7.65633694267$
4.0.239727705.1 $x^{4} - 2 x^{3} - 137 x^{2} + 138 x + 6272$ $3\cdot 5\cdot 7\cdot 1511^{2}$ $D_{4}$ (as 4T3) $[1274]$ $9.124851526353575$
4.0.239847169.1 $x^{4} + 447 x^{2} + 53824$ $17^{2}\cdot 911^{2}$ $C_2^2$ (as 4T2) $[1085]$ $4.18942509452$
4.0.241958025.11 $x^{4} - x^{3} - 257 x^{2} + 2073 x + 268584$ $3^{2}\cdot 5^{2}\cdot 17^{2}\cdot 61^{2}$ $C_2^2$ (as 4T2) $[2, 2, 260]$ $9.93972304279$
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