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Label Polynomial Discriminant Galois group Class group Regulator
5.1.1609.1 x5 - x3 - x2 + x + 1 $1609$ $S_5$ (as 5T5) trivial $0.268355550838$
5.1.1649.1 x5 - x4 + x2 - x + 1 $17\cdot 97$ $S_5$ (as 5T5) trivial $0.273599709102$
5.1.1777.1 x5 - x4 + x3 - 2x2 + x - 1 $1777$ $S_5$ (as 5T5) trivial $0.290415099662$
5.1.2209.1 x5 - 2x4 + 2x3 - x2 + 1 $47^{2}$ $D_{5}$ (as 5T2) trivial $0.346947612066$
5.1.2297.1 x5 - x4 + x3 - x2 - 1 $2297$ $S_5$ (as 5T5) trivial $0.357352114929$
5.1.2617.1 x5 + x3 - 2x2 - 1 $2617$ $S_5$ (as 5T5) trivial $0.394462762943$
5.1.2665.1 x5 - x4 + x3 - x2 + 2x - 1 $5\cdot 13\cdot 41$ $S_5$ (as 5T5) trivial $0.399660818464$
5.1.2869.1 x5 - x - 1 $19\cdot 151$ $S_5$ (as 5T5) trivial $0.432343878825$
5.1.3017.1 x5 - x2 + 1 $7\cdot 431$ $S_5$ (as 5T5) trivial $0.437122673287$
5.1.3089.1 x5 - x3 + 2x - 1 $3089$ $S_5$ (as 5T5) trivial $0.486630116907$
5.1.3233.1 x5 - x2 - 1 $53\cdot 61$ $S_5$ (as 5T5) trivial $0.503137602609$
5.1.3369.1 x5 + x3 - x2 - x - 1 $3\cdot 1123$ $S_5$ (as 5T5) trivial $0.518409869312$
5.1.3857.1 x5 - x4 + x3 - x2 + 1 $7\cdot 19\cdot 29$ $S_5$ (as 5T5) trivial $0.574676824693$
5.1.3889.1 x5 - x4 + x3 + x - 1 $3889$ $S_5$ (as 5T5) trivial $0.532749828479$
5.1.4169.1 x5 + 2x3 - x2 + 2x - 1 $11\cdot 379$ $S_5$ (as 5T5) trivial $0.607298353079$
5.1.4261.1 x5 - 2x2 - 2x - 1 $4261$ $S_5$ (as 5T5) trivial $0.758429941403$
5.1.4409.1 x5 - x4 + x2 + x - 1 $4409$ $S_5$ (as 5T5) trivial $0.631438453903$
5.1.4417.1 x5 - 2x4 + 2x3 - x2 - 1 $7\cdot 631$ $S_5$ (as 5T5) trivial $0.571446122147$
5.1.4429.1 x5 - x4 + 2x3 - x2 + 1 $43\cdot 103$ $S_5$ (as 5T5) trivial $0.780070782411$
5.1.4432.1 x5 - x4 + 2x2 - x + 1 $2^{4}\cdot 277$ $S_5$ (as 5T5) trivial $0.780720256768$
5.1.4477.1 x5 + x3 + x - 1 $11^{2}\cdot 37$ $S_5$ (as 5T5) trivial $0.786371046393$
5.1.4549.1 x5 - x4 + 2x3 - 2x2 - 1 $4549$ $S_5$ (as 5T5) trivial $0.601042087852$
5.1.4597.1 x5 + x3 - 2x2 - x - 1 $4597$ $S_5$ (as 5T5) trivial $0.801495712181$
5.1.4757.1 x5 - x4 + 2x3 - x2 + 2x - 1 $67\cdot 71$ $S_5$ (as 5T5) trivial $0.822644320451$
5.1.4817.1 x5 - 2x4 + 2x3 - x2 + 2x - 1 $4817$ $S_5$ (as 5T5) trivial $0.687711449121$
5.1.4897.1 x5 - x4 - x3 + x2 + 1 $59\cdot 83$ $S_5$ (as 5T5) trivial $0.612023201458$
5.1.5025.1 x5 - x4 - x2 + x + 1 $3\cdot 5^{2}\cdot 67$ $S_5$ (as 5T5) trivial $0.708326486922$
5.1.5164.1 x5 - x4 - x3 + 2x + 1 $2^{2}\cdot 1291$ $S_5$ (as 5T5) trivial $0.873888115674$
5.1.5437.1 x5 - 2x4 + 2x3 - 2x2 - 1 $5437$ $S_5$ (as 5T5) trivial $0.909810356182$
5.1.5501.1 x5 - 2x4 + 2x2 - x + 1 $5501$ $S_5$ (as 5T5) trivial $0.68402903196$
5.1.5584.1 x5 - x4 + x + 1 $2^{4}\cdot 349$ $S_5$ (as 5T5) trivial $0.927152539126$
5.1.5653.1 x5 - x4 + 2x - 1 $5653$ $S_5$ (as 5T5) trivial $0.714858266315$
5.1.5753.1 x5 - x4 - x3 + 2x2 - x + 1 $11\cdot 523$ $S_5$ (as 5T5) trivial $0.777786743614$
5.1.5864.1 x5 - x4 + x3 + 2x2 - 2x + 1 $2^{3}\cdot 733$ $S_5$ (as 5T5) trivial $0.957732052495$
5.1.5913.1 x5 - x4 + 2x3 - x2 + x + 1 $3^{4}\cdot 73$ $S_5$ (as 5T5) trivial $0.794503605626$
5.1.6241.1 x5 - x4 + x3 - 2x2 + 3x - 1 $79^{2}$ $D_{5}$ (as 5T2) trivial $0.803647538428$
5.1.6449.1 x5 - x4 + x3 - 3x2 - 1 $6449$ $S_5$ (as 5T5) trivial $0.826566357784$
5.1.6581.1 x5 - 2x2 - 1 $6581$ $S_5$ (as 5T5) trivial $1.04188879242$
5.1.6757.1 x5 - x4 + 3x2 - 2x + 1 $29\cdot 233$ $S_5$ (as 5T5) trivial $1.08518392663$
5.1.6793.1 x5 - x4 + x3 + x + 1 $6793$ $S_5$ (as 5T5) trivial $0.97237060045$
5.1.7096.1 x5 - x2 + x + 1 $2^{3}\cdot 887$ $S_5$ (as 5T5) trivial $1.10002131304$
5.1.7177.1 x5 - x4 + 3x3 - x2 + 2x - 1 $7177$ $S_5$ (as 5T5) trivial $1.01016967835$
5.1.7265.1 x5 - x4 + x3 + 2x2 - x + 1 $5\cdot 1453$ $S_5$ (as 5T5) trivial $0.920865082729$
5.1.7333.1 x5 - 2x4 + 2x3 - 2x2 + 3x - 1 $7333$ $S_5$ (as 5T5) trivial $0.84949301581$
5.1.7373.1 x5 - 2x4 + 2x2 + x - 1 $73\cdot 101$ $S_5$ (as 5T5) trivial $0.959324216594$
5.1.7376.1 x5 - 2x4 + 2x3 - 2x + 2 $2^{4}\cdot 461$ $S_5$ (as 5T5) trivial $1.12732063987$
5.1.7672.1 x5 - x4 + x3 - 2x - 1 $2^{3}\cdot 7\cdot 137$ $S_5$ (as 5T5) trivial $1.15992649405$
5.1.7684.1 x5 - x3 - x2 - 1 $2^{2}\cdot 17\cdot 113$ $S_5$ (as 5T5) trivial $1.2267278395$
5.1.7717.1 x5 - 2x4 + 2x + 1 $7717$ $S_5$ (as 5T5) trivial $1.1899782786$
5.1.7909.1 x5 - 2x4 + 2x3 - 2x2 + x + 1 $11\cdot 719$ $S_5$ (as 5T5) trivial $0.862495096824$
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