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Label Polynomial Discriminant Galois group Class group Regulator
8.0.1257728.1 x8 - 2x7 + 4x5 - 4x4 + 3x2 - 2x + 1 $2^{8}\cdot 17^{3}$ $C_4\wr C_2$ (as 8T17) trivial $0.618886617067$
8.0.1265625.1 x8 - x7 + x5 - x4 + x3 - x + 1 $3^{4}\cdot 5^{6}$ $C_4\times C_2$ (as 8T2) trivial $4.6618207773$
8.0.1282789.1 x8 - x7 + 2x6 - 3x5 + 3x4 - 3x3 + 3x2 - 2x + 1 $1103\cdot 1163$ $S_8$ (as 8T50) trivial $0.313539838403$
8.0.1327833.1 x8 - x7 + x6 - 2x5 + 3x4 - 4x3 + 4x2 - 2x + 1 $3^{4}\cdot 13^{2}\cdot 97$ $C_2 \wr C_2\wr C_2$ (as 8T35) trivial $0.963083858701$
8.0.1342413.1 x8 - x7 + x6 + x4 - 2x3 + 3x2 - 3x + 1 $3^{4}\cdot 16573$ $S_4\wr C_2$ (as 8T47) trivial $0.970727427757$
8.0.1361513.1 x8 - x7 + 2x6 - 3x5 + 3x4 - 3x3 + 2x2 - x + 1 $17\cdot 283^{2}$ $C_2 \wr S_4$ (as 8T44) trivial $0.32641205382$
8.0.1385533.1 x8 - 2x7 + 3x6 - 3x5 + x4 + 1 $29\cdot 47777$ $S_8$ (as 8T50) trivial $0.331112529152$
8.0.1424293.1 x8 - 2x7 + 2x6 - x5 + x4 - x3 + 2x2 - 2x + 1 $13\cdot 331^{2}$ $C_2 \wr S_4$ (as 8T44) trivial $0.336709575883$
8.0.1474013.1 x8 - x7 + x6 - x4 + x3 - x2 + 1 $617\cdot 2389$ $S_8$ (as 8T50) trivial $0.345105135911$
8.0.1492101.1 x8 - x7 + x6 - 3x5 + x4 - 2x3 + 3x2 + 1 $3^{4}\cdot 13^{2}\cdot 109$ $C_2 \wr C_2\wr C_2$ (as 8T35) trivial $1.04325557006$
8.0.1513728.1 x8 - 2x7 + x6 + 2x5 - 3x4 - 2x3 + x2 + 2x + 1 $2^{8}\cdot 3^{4}\cdot 73$ $(((C_4 \times C_2): C_2):C_2):C_2$ (as 8T31) trivial $2.10694405423$
8.0.1520789.1 x8 - x7 - x6 + x4 - x2 + x + 1 $29\cdot 229^{2}$ $C_2 \wr S_4$ (as 8T44) trivial $0.353845256559$
8.0.1578125.1 x8 - 2x7 + 3x5 - x4 - 3x3 + 2x + 1 $5^{6}\cdot 101$ $((C_8 : C_2):C_2):C_2$ (as 8T27) trivial $1.81195906066$
8.0.1590773.1 x8 - x7 + 2x5 - 2x4 + x3 + x2 - 2x + 1 $179\cdot 8887$ $S_8$ (as 8T50) trivial $0.363609073488$
8.0.1601613.1 x8 - 2x6 - 3x5 + 3x4 + 3x3 - 2x2 + 1 $3^{6}\cdot 13^{3}$ $C_4\wr C_2$ (as 8T17) trivial $1.10095849199$
8.0.1740113.1 x8 - 2x7 + 3x6 - 4x5 + 4x4 - 4x3 + 3x2 - x + 1 $1740113$ $S_8$ (as 8T50) trivial $0.38876666774366264$
8.0.1750329.1 x8 - 3x7 + 4x6 - 3x5 + 3x4 - 3x3 + 4x2 - 3x + 1 $3^{6}\cdot 7^{4}$ $D_4$ (as 8T4) trivial $1.1656993933$
8.0.1763584.1 x8 - 2x7 + x6 + 2x5 - 3x4 + 2x3 + x2 - 2x + 1 $2^{8}\cdot 83^{2}$ $S_4\times C_2$ (as 8T24) trivial $0.781195313952$
8.0.1797309.1 x8 - 3x7 + 6x6 - 8x5 + 10x4 - 9x3 + 7x2 - 4x + 1 $3^{4}\cdot 22189$ $S_4\wr C_2$ (as 8T47) trivial $1.20014144807$
8.0.1820637.1 x8 - x7 + x5 - x4 - 2x3 + 2x + 1 $3^{4}\cdot 7\cdot 13^{2}\cdot 19$ $C_2 \wr C_2\wr C_2$ (as 8T35) trivial $1.21081359453$
8.0.1867553.1 x8 - x7 + x5 - 2x4 + x3 + x2 - x + 1 $1867553$ $S_8$ (as 8T50) trivial $0.40885972396034426$
8.0.1890625.1 x8 - 3x7 + 6x6 - 9x5 + 9x4 - 7x3 + 4x2 - x + 1 $5^{6}\cdot 11^{2}$ $C_2^2:C_4$ (as 8T10) trivial $2.04169489066$
8.0.2067245.1 x8 - x7 + x6 - x4 + x2 - x + 1 $5\cdot 643^{2}$ $C_2 \wr S_4$ (as 8T44) trivial $0.453534943932$
8.0.2105893.1 x8 - x7 + 2x6 - x5 + x4 - x3 + x2 - 2x + 1 $29\cdot 72617$ $S_8$ (as 8T50) trivial $0.44069755405256955$
8.0.2118069.1 x8 - x7 - x3 + 2x2 - x + 1 $3^{4}\cdot 79\cdot 331$ $S_4\wr C_2$ (as 8T47) trivial $1.33864883478$
8.0.2149173.1 x8 - x7 - 2x6 + 2x5 + x3 + x2 - 2x + 1 $3^{4}\cdot 13^{2}\cdot 157$ $C_2 \wr C_2\wr C_2$ (as 8T35) trivial $1.34468819349$
8.0.2178981.1 x8 - x7 - x6 + 2x5 + x4 - 2x3 - x2 + x + 1 $3^{6}\cdot 7^{2}\cdot 61$ $C_2 \wr C_2\wr C_2$ (as 8T35) trivial $1.34805397566$
8.0.2193125.1 x8 - 2x7 + 4x6 - 5x5 + 5x4 - 5x3 + 4x2 - 2x + 1 $5^{4}\cdot 11^{2}\cdot 29$ $C_2 \wr C_2\wr C_2$ (as 8T35) trivial $0.454073872008$
8.0.2217213.1 x8 - x7 - x6 - x5 + 3x4 - x + 1 $3^{4}\cdot 31\cdot 883$ $S_4\wr C_2$ (as 8T47) trivial $1.37910404568$
8.0.2313441.1 x8 - x7 + 2x6 + 3x5 - x4 + 3x3 + 2x2 - x + 1 $3^{4}\cdot 13^{4}$ $D_4$ (as 8T4) trivial $1.41187738145$
8.0.2314413.1 x8 - x6 - x5 - x3 + 2x + 1 $3^{4}\cdot 28573$ $S_4\wr C_2$ (as 8T47) trivial $1.42029894182$
8.0.2477709.1 x8 - x7 + 3x5 - x3 + 2x2 + 2x + 1 $3^{4}\cdot 13^{2}\cdot 181$ $C_2 \wr C_2\wr C_2$ (as 8T35) trivial $1.51551812359$
8.0.2560000.1 x8 - 2x7 + 2x6 + 2x5 - 2x4 + 2x3 + 2x2 - 2x + 1 $2^{12}\cdot 5^{4}$ $D_4$ (as 8T4) trivial $1.0839823354$
8.0.2671805.1 x8 - x5 + x4 - x3 + 1 $5\cdot 17^{2}\cdot 43^{2}$ $C_2 \wr S_4$ (as 8T44) trivial $0.542256876594$
8.0.2708009.1 x8 - x7 - x6 + x5 + x4 - x3 - x2 + x + 1 $41\cdot 257^{2}$ $C_2 \wr S_4$ (as 8T44) trivial $0.563263410972$
8.0.2712933.1 x8 - 3x7 + 3x6 - x5 + x4 - 2x2 + x + 1 $3^{4}\cdot 33493$ $S_4\wr C_2$ (as 8T47) trivial $1.57666375612$
8.0.2824713.1 x8 - 3x7 + 2x6 + 3x5 - 4x4 + x2 + 1 $3^{4}\cdot 43\cdot 811$ $S_4\wr C_2$ (as 8T47) trivial $1.7400253268$
8.0.2828125.1 x8 - x7 - x6 - 2x5 + 4x4 + x3 + x2 - 3x + 1 $5^{6}\cdot 181$ $((C_8 : C_2):C_2):C_2$ (as 8T27) trivial $2.66425859071$
8.0.2844928.1 x8 - 2x7 + 2x6 - 2x4 + 2x3 + x2 - 2x + 1 $2^{8}\cdot 11113$ $S_4\wr C_2$ (as 8T47) trivial $1.11974748455$
8.0.2963293.1 x8 - 3x7 + 5x6 - 6x5 + 7x4 - 6x3 + 5x2 - 3x + 1 $37\cdot 283^{2}$ $C_2 \wr S_4$ (as 8T44) trivial $0.545793348928$
8.0.2970513.1 x8 - 2x7 + 2x6 - 2x5 + 3x4 - 3x2 + x + 1 $3^{4}\cdot 7\cdot 13^{2}\cdot 31$ $C_2 \wr C_2\wr C_2$ (as 8T35) trivial $1.66725651269$
8.0.2985984.1 x8 - 2x7 + 2x6 - 2x5 + 7x4 - 10x3 + 8x2 - 4x + 1 $2^{12}\cdot 3^{6}$ $D_4$ (as 8T4) trivial $3.64163813098$
8.0.3057993.1 x8 - 2x7 + 3x6 - 2x5 + x3 + 2x2 - 3x + 1 $3^{4}\cdot 19\cdot 1987$ $S_4\wr C_2$ (as 8T47) trivial $1.83028307754$
8.0.3134053.1 x8 - x7 + x6 - 2x5 + 3x4 - 2x3 + x2 - x + 1 $13\cdot 491^{2}$ $C_2 \wr S_4$ (as 8T44) trivial $0.570147165225$
8.0.3167829.1 x8 - 3x7 + 4x6 - 4x4 + 3x3 + 2x2 - 3x + 1 $3^{4}\cdot 7\cdot 37\cdot 151$ $S_4\wr C_2$ (as 8T47) trivial $1.77871765724$
8.0.3198933.1 x8 - x7 - x6 + 4x4 - x3 - 3x2 + x + 1 $3^{4}\cdot 73\cdot 541$ $S_4\wr C_2$ (as 8T47) trivial $2.04684730841$
8.0.3203125.1 x8 - x7 + 2x6 + 2x5 + 3x3 + 2x2 + x + 1 $5^{7}\cdot 41$ $((C_8 : C_2):C_2):C_2$ (as 8T27) trivial $3.04388544877$
8.0.3207681.1 x8 - 3x7 + 4x6 - 3x5 + 2x4 - x2 + 1 $3^{4}\cdot 199^{2}$ $S_4\times C_2$ (as 8T24) trivial $1.89392987116$
8.0.3211264.1 x8 - 4x7 + 8x6 - 8x5 + 7x4 - 8x3 + 8x2 - 4x + 1 $2^{16}\cdot 7^{2}$ $D_4\times C_2$ (as 8T9) trivial $2.5180422861$
8.0.3240000.1 x8 - 3x7 + 3x6 + x5 - 2x4 - 3x3 + 7x2 - 4x + 1 $2^{6}\cdot 3^{4}\cdot 5^{4}$ $Q_8:C_2$ (as 8T11) trivial $1.89812936734$
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