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Label Polynomial Discriminant Galois group Class group Regulator
4.2.14336.2 $x^{4} + 4 x^{2} - 14$ $-\,2^{11}\cdot 7$ $D_{4}$ (as 4T3) trivial $6.26425336846$
4.4.18432.1 $x^{4} - 12 x^{2} + 18$ $2^{11}\cdot 3^{2}$ $C_4$ (as 4T1) trivial $11.1753272808$
4.2.47104.2 $x^{4} + 4 x^{2} - 46$ $-\,2^{11}\cdot 23$ $D_{4}$ (as 4T3) trivial $10.9019727591$
4.0.51200.2 $x^{4} + 20 x^{2} + 50$ $2^{11}\cdot 5^{2}$ $C_4$ (as 4T1) $[2]$ $1.76274717404$
4.0.83968.3 $x^{4} + 20 x^{2} + 82$ $2^{11}\cdot 41$ $D_{4}$ (as 4T3) $[6]$ $1.76274717404$
4.0.100352.2 $x^{4} + 4 x^{2} + 18$ $2^{11}\cdot 7^{2}$ $D_{4}$ (as 4T3) $[4]$ $7.10737587411$
4.2.112640.1 $x^{4} - 8 x - 2$ $-\,2^{11}\cdot 5\cdot 11$ $S_4$ (as 4T5) $[2]$ $15.6574272399$
4.2.145408.2 $x^{4} + 20 x^{2} - 142$ $-\,2^{11}\cdot 71$ $D_{4}$ (as 4T3) trivial $18.0506310475$
4.4.149504.1 $x^{4} - 28 x^{2} + 146$ $2^{11}\cdot 73$ $D_{4}$ (as 4T3) trivial $30.0363041225$
4.4.182272.1 $x^{4} - 28 x^{2} + 178$ $2^{11}\cdot 89$ $D_{4}$ (as 4T3) trivial $38.7026620672$
4.2.210944.1 $x^{4} - 12 x^{2} - 206$ $-\,2^{11}\cdot 103$ $D_{4}$ (as 4T3) trivial $35.0127951041$
4.2.243712.2 $x^{4} + 4 x^{2} - 238$ $-\,2^{11}\cdot 7\cdot 17$ $D_{4}$ (as 4T3) $[2]$ $10.0131581594$
4.2.243712.4 $x^{4} + 20 x^{2} - 238$ $-\,2^{11}\cdot 7\cdot 17$ $D_{4}$ (as 4T3) $[2]$ $12.8988179314$
4.4.247808.1 $x^{4} - 44 x^{2} + 242$ $2^{11}\cdot 11^{2}$ $C_4$ (as 4T1) trivial $26.1634153661$
4.0.280576.3 $x^{4} + 36 x^{2} + 274$ $2^{11}\cdot 137$ $D_{4}$ (as 4T3) $[14]$ $1.76274717404$
4.2.309248.3 $x^{4} - 12 x^{2} - 302$ $-\,2^{11}\cdot 151$ $D_{4}$ (as 4T3) trivial $34.0598376627$
4.0.313344.1 $x^{4} + 36 x^{2} + 306$ $2^{11}\cdot 3^{2}\cdot 17$ $D_{4}$ (as 4T3) $[2, 6]$ $1.76274717404$
4.2.342016.2 $x^{4} + 4 x^{2} - 16 x - 36$ $-\,2^{11}\cdot 167$ $S_4$ (as 4T5) $[2]$ $35.7370009126$
4.2.342016.4 $x^{4} + 4 x^{2} - 334$ $-\,2^{11}\cdot 167$ $D_{4}$ (as 4T3) trivial $39.0261182662$
4.0.346112.2 $x^{4} + 52 x^{2} + 338$ $2^{11}\cdot 13^{2}$ $C_4$ (as 4T1) $[10]$ $1.76274717404$
4.2.407552.2 $x^{4} + 36 x^{2} - 398$ $-\,2^{11}\cdot 199$ $D_{4}$ (as 4T3) trivial $50.8144677156$
4.4.444416.1 $x^{4} - 44 x^{2} + 434$ $2^{11}\cdot 7\cdot 31$ $D_{4}$ (as 4T3) trivial $60.6118444071$
4.0.444416.2 $x^{4} + 52 x^{2} + 434$ $2^{11}\cdot 7\cdot 31$ $D_{4}$ (as 4T3) $[2, 6]$ $1.76274717404$
4.4.477184.1 $x^{4} - 44 x^{2} + 466$ $2^{11}\cdot 233$ $D_{4}$ (as 4T3) trivial $45.3447779176$
4.2.538624.2 $x^{4} - 8 x^{2} - 32 x - 56$ $-\,2^{11}\cdot 263$ $S_4$ (as 4T5) $[2]$ $28.9230843309$
4.2.538624.3 $x^{4} - 28 x^{2} - 526$ $-\,2^{11}\cdot 263$ $D_{4}$ (as 4T3) trivial $35.5291001617$
4.2.571392.2 $x^{4} + 36 x^{2} - 558$ $-\,2^{11}\cdot 3^{2}\cdot 31$ $D_{4}$ (as 4T3) $[2]$ $12.3795843584$
4.4.575488.1 $x^{4} - 60 x^{2} + 562$ $2^{11}\cdot 281$ $D_{4}$ (as 4T3) trivial $48.1552208688$
4.2.636928.1 $x^{4} + 20 x^{2} - 622$ $-\,2^{11}\cdot 311$ $D_{4}$ (as 4T3) trivial $23.7445615597$
4.0.641024.3 $x^{4} + 52 x^{2} + 626$ $2^{11}\cdot 313$ $D_{4}$ (as 4T3) $[14]$ $1.76274717404$
4.0.673792.1 $x^{4} + 52 x^{2} + 658$ $2^{11}\cdot 7\cdot 47$ $D_{4}$ (as 4T3) $[2, 10]$ $1.76274717404$
4.4.673792.2 $x^{4} - 60 x^{2} + 658$ $2^{11}\cdot 7\cdot 47$ $D_{4}$ (as 4T3) trivial $81.7474039204$
4.2.718848.1 $x^{4} - 12 x^{2} - 16 x + 18$ $-\,2^{11}\cdot 3^{3}\cdot 13$ $S_4$ (as 4T5) $[2]$ $33.0494845426$
4.2.735232.4 $x^{4} + 4 x^{2} - 718$ $-\,2^{11}\cdot 359$ $D_{4}$ (as 4T3) trivial $36.6289637133$
4.4.739328.1 $x^{4} - 76 x^{2} + 722$ $2^{11}\cdot 19^{2}$ $C_4$ (as 4T1) trivial $92.4193871713$
4.2.784384.1 $x^{4} - 12 x^{2} - 16 x + 50$ $-\,2^{11}\cdot 383$ $S_4$ (as 4T5) $[2]$ $42.5637102217$
4.2.800768.4 $x^{4} + 20 x^{2} - 782$ $-\,2^{11}\cdot 17\cdot 23$ $D_{4}$ (as 4T3) $[2]$ $32.3257081821$
4.2.800768.6 $x^{4} + 52 x^{2} - 782$ $-\,2^{11}\cdot 17\cdot 23$ $D_{4}$ (as 4T3) $[2]$ $18.5000127659$
4.2.833536.2 $x^{4} - 8 x^{2} - 32 x + 72$ $-\,2^{11}\cdot 11\cdot 37$ $S_4$ (as 4T5) $[2]$ $48.0251875242$
4.0.837632.3 $x^{4} + 68 x^{2} + 818$ $2^{11}\cdot 409$ $D_{4}$ (as 4T3) $[14]$ $1.76274717404$
4.2.866304.2 $x^{4} - 12 x^{2} - 846$ $-\,2^{11}\cdot 3^{2}\cdot 47$ $D_{4}$ (as 4T3) $[4]$ $10.8665382556$
4.4.870400.1 $x^{4} - 60 x^{2} + 850$ $2^{11}\cdot 5^{2}\cdot 17$ $D_{4}$ (as 4T3) $[2]$ $44.1552582718$
4.2.899072.1 $x^{4} + 4 x^{2} - 878$ $-\,2^{11}\cdot 439$ $D_{4}$ (as 4T3) trivial $39.6699593438$
4.0.903168.5 $x^{4} + 84 x^{2} + 882$ $2^{11}\cdot 3^{2}\cdot 7^{2}$ $C_4$ (as 4T1) $[2, 2, 4]$ $1.76274717404$
4.0.919552.3 $x^{4} + 20 x^{2} - 32 x + 18$ $2^{11}\cdot 449$ $S_4$ (as 4T5) $[4]$ $13.6462168814$
4.0.935936.2 $x^{4} + 68 x^{2} + 914$ $2^{11}\cdot 457$ $D_{4}$ (as 4T3) $[14]$ $1.76274717404$
4.2.997376.3 $x^{4} - 16 x^{2} - 8 x - 2$ $-\,2^{11}\cdot 487$ $S_4$ (as 4T5) $[2]$ $33.3757251662$
4.2.997376.9 $x^{4} - 44 x^{2} - 974$ $-\,2^{11}\cdot 487$ $D_{4}$ (as 4T3) $[3]$ $18.3771779867$
4.2.1030144.2 $x^{4} + 52 x^{2} - 1006$ $-\,2^{11}\cdot 503$ $D_{4}$ (as 4T3) trivial $40.5405291059$
4.0.1050624.3 $x^{4} - 12 x^{2} - 16 x + 114$ $2^{11}\cdot 3^{3}\cdot 19$ $S_4$ (as 4T5) $[4]$ $20.2312253868$
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