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Label Polynomial Discriminant Galois group Class group Regulator
8.0.594823321.1 $x^{8} - 3 x^{7} + 9 x^{6} - 15 x^{5} + 23 x^{4} - 21 x^{3} + 18 x^{2} - 7 x + 2$ $29^{6}$ $C_2^3:C_7$ (as 8T25) trivial $28.743665856$
8.0.2081951752609.1 $x^{8} - x^{7} + 3 x^{6} - 7 x^{5} + 6 x^{4} + 11 x^{3} + 65 x^{2} - 145 x + 108$ $113^{6}$ $C_2^3:C_7$ (as 8T25) trivial $1984.98510868$
8.8.9745585291264.1 $x^{8} - 20 x^{6} - 8 x^{5} + 100 x^{4} + 88 x^{3} - 96 x^{2} - 112 x - 20$ $2^{14}\cdot 29^{6}$ $C_2^3:C_7$ (as 8T25) trivial $22346.4432246$
8.0.15177592680649.1 $x^{8} - 3 x^{7} + 9 x^{6} - 26 x^{5} + 14 x^{4} - 18 x^{3} + 92 x^{2} - 46 x + 135$ $7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 2]$ $621.063606788$
8.8.15177592680649.1 $x^{8} - 2 x^{7} - 21 x^{6} + 62 x^{5} + 57 x^{4} - 311 x^{3} + 125 x^{2} + 360 x - 283$ $7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) trivial $26101.620218$
8.0.49680238593241.2 $x^{8} - 2 x^{7} + 16 x^{6} - 9 x^{5} + 39 x^{4} - 33 x^{3} + 50 x^{2} - 497 x + 484$ $17^{4}\cdot 29^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 2]$ $1033.12249118$
8.0.58451728309129.1 $x^{8} - 2 x^{7} + 17 x^{6} - 37 x^{5} + 99 x^{4} - 158 x^{3} + 158 x^{2} - 75 x + 74$ $197^{6}$ $C_2^3:C_7$ (as 8T25) trivial $9937.30836324$
8.0.80062677450625.1 $x^{8} - 2 x^{7} + 3 x^{6} + 11 x^{5} + 13 x^{4} + 143 x^{3} + 751 x^{2} + 755 x + 225$ $5^{4}\cdot 71^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $2792.07075957$
8.0.80062677450625.2 $x^{8} - 3 x^{7} + 22 x^{6} - 32 x^{5} + 118 x^{4} - 62 x^{3} + 287 x^{2} - 38 x + 561$ $5^{4}\cdot 71^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $1890.95352612$
8.0.103569212194816.1 $x^{8} + 16 x^{6} - 36 x^{5} + 214 x^{4} - 352 x^{3} + 672 x^{2} - 508 x + 385$ $2^{14}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) trivial $36861.2911616$
8.0.103569212194816.5 $x^{8} - 4 x^{7} + 4 x^{6} - 28 x^{5} + 164 x^{4} + 224 x^{3} + 736 x^{2} - 368 x + 104$ $2^{14}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) trivial $13365.0849985$
8.0.186374892382561.1 $x^{8} - 3 x^{7} + 20 x^{6} + 4 x^{5} + 39 x^{4} + 106 x^{3} + 304 x^{2} + 434 x + 187$ $239^{6}$ $C_2^3:C_7$ (as 8T25) trivial $15386.1442411$
8.0.226775649501184.4 $x^{8} - 2 x^{7} + 14 x^{6} - 14 x^{5} - 126 x^{4} + 630 x^{3} + 658 x^{2} - 5130 x + 10267$ $2^{14}\cdot 7^{12}$ $C_2^3:C_7$ (as 8T25) trivial $24239.5513308$
8.0.226775649501184.5 $x^{8} - 2 x^{7} + 14 x^{6} + 84 x^{4} - 112 x^{3} + 28 x^{2} + 188 x + 310$ $2^{14}\cdot 7^{12}$ $C_2^3:C_7$ (as 8T25) trivial $26620.3609911$
8.0.1680828542372281.2 $x^{8} - 2 x^{7} + 4 x^{6} + 33 x^{5} - 30 x^{4} - 124 x^{3} + 58 x^{2} + 47 x + 90$ $29^{6}\cdot 41^{4}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 2]$ $6177.37020279$
8.0.1803810389321521.1 $x^{8} - 2 x^{7} - 28 x^{6} + 154 x^{5} + 189 x^{4} - 2016 x^{3} + 5278 x^{2} + 2701 x + 2949$ $7^{12}\cdot 19^{4}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $7631.3442133$
8.0.1803810389321521.2 $x^{8} - 4 x^{7} + 35 x^{6} - 42 x^{5} + 329 x^{4} - 14 x^{3} + 2611 x^{2} - 6607 x + 3692$ $7^{12}\cdot 19^{4}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $7306.25989421$
8.0.2098795051761664.5 $x^{8} - 4 x^{7} + 8 x^{6} + 8 x^{5} + 44 x^{4} - 528 x^{3} + 2264 x^{2} - 3680 x + 3100$ $2^{14}\cdot 71^{6}$ $C_2^3:C_7$ (as 8T25) trivial $52085.9602351$
8.0.2098795051761664.9 $x^{8} - 2 x^{7} - 32 x^{5} + 750 x^{4} - 4284 x^{3} + 13640 x^{2} - 22336 x + 20334$ $2^{14}\cdot 71^{6}$ $C_2^3:C_7$ (as 8T25) trivial $53056.7685855$
8.0.7207688911775881.3 $x^{8} - 2 x^{7} + 34 x^{6} - 35 x^{5} + 166 x^{4} - 264 x^{3} - 1350 x^{2} - 1411 x + 25450$ $29^{6}\cdot 59^{4}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 2]$ $13195.432173$
8.0.9851127637605409.1 $x^{8} - x^{7} + 37 x^{6} - 131 x^{5} + 327 x^{4} - 453 x^{3} + 515 x^{2} - 350 x + 223$ $463^{6}$ $C_2^3:C_7$ (as 8T25) trivial $133394.15885$
8.0.10699063813365841.1 $x^{8} - x^{7} + 41 x^{6} - 98 x^{5} + 411 x^{4} - 2087 x^{3} + 7263 x^{2} - 8915 x + 6934$ $17^{4}\cdot 71^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $15761.2152227$
8.0.10699063813365841.2 $x^{8} - x^{7} + 39 x^{6} - 8 x^{5} + 532 x^{4} - 683 x^{3} + 886 x^{2} - 8177 x + 12648$ $17^{4}\cdot 71^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $19999.1214756$
8.0.11847252093276889.1 $x^{8} - x^{7} - 2 x^{6} - 143 x^{5} + 516 x^{4} - 733 x^{3} + 2136 x^{2} - 3095 x + 1542$ $37^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $16357.3616186$
8.0.11847252093276889.2 $x^{8} + 11 x^{6} - 9 x^{5} + 211 x^{4} + 1079 x^{3} + 4127 x^{2} + 7877 x + 9987$ $37^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $17129.8279586$
8.0.12782719397154721.1 $x^{8} - 3 x^{7} - 56 x^{6} + 28 x^{5} + 1043 x^{4} - 567 x^{3} + 4704 x^{2} + 46853 x + 57555$ $7^{12}\cdot 31^{4}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 2]$ $20731.5393723$
8.8.12782719397154721.1 $x^{8} - x^{7} - 42 x^{6} + 77 x^{5} + 420 x^{4} - 854 x^{3} - 987 x^{2} + 1577 x + 733$ $7^{12}\cdot 31^{4}$ $C_2^3:C_7$ (as 8T25) trivial $942691.948946$
8.8.34110697514745856.1 $x^{8} - 2 x^{7} - 26 x^{6} + 58 x^{5} + 150 x^{4} - 402 x^{3} + 130 x^{2} + 162 x - 61$ $2^{14}\cdot 113^{6}$ $C_2^3:C_7$ (as 8T25) trivial $1466200.53845$
8.0.68745181834264576.1 $x^{8} - 2 x^{7} - 4 x^{6} - 84 x^{5} + 518 x^{4} - 792 x^{3} + 144 x^{2} + 344 x + 378$ $2^{14}\cdot 127^{6}$ $C_2^3:C_7$ (as 8T25) trivial $383156.241972$
8.0.68745181834264576.13 $x^{8} - 48 x^{6} - 28 x^{5} + 1306 x^{4} - 3144 x^{3} - 104 x^{2} + 21788 x + 310673$ $2^{14}\cdot 127^{6}$ $C_2^3:C_7$ (as 8T25) trivial $311529.815382$
8.8.248669678479753216.1 $x^{8} - 2 x^{7} - 102 x^{6} + 244 x^{5} + 2188 x^{4} - 3496 x^{3} - 10508 x^{2} + 18916 x - 3958$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2]$ $891873.901155$
8.0.248669678479753216.1 $x^{8} - 4 x^{7} + 60 x^{6} - 44 x^{5} + 1050 x^{4} + 1828 x^{3} + 4964 x^{2} + 396 x + 641$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 2]$ $71171.2325619$
8.0.248669678479753216.4 $x^{8} - 2 x^{7} + 58 x^{6} + 360 x^{5} + 888 x^{4} + 428 x^{3} + 7960 x^{2} - 13984 x + 7226$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 2]$ $87970.1931263$
8.0.248669678479753216.5 $x^{8} - 12 x^{6} - 104 x^{5} + 674 x^{4} - 2792 x^{3} + 9628 x^{2} - 15424 x + 9025$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 4]$ $34918.3359523$
8.0.248669678479753216.6 $x^{8} - 2 x^{7} - 46 x^{6} - 126 x^{5} + 506 x^{4} + 4150 x^{3} + 13066 x^{2} + 21486 x + 16867$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 8]$ $61441.8533723$
8.0.248669678479753216.7 $x^{8} - 2 x^{7} - 60 x^{6} + 96 x^{5} + 1422 x^{4} - 56 x^{3} - 8876 x^{2} - 1764 x + 18914$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $131146.896728$
8.0.248669678479753216.8 $x^{8} - 2 x^{7} + 34 x^{6} + 26 x^{5} - 250 x^{4} - 1498 x^{3} + 11550 x^{2} - 21078 x + 20479$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 4]$ $34692.3138192$
8.0.248669678479753216.10 $x^{8} - 2 x^{7} + 38 x^{6} - 92 x^{5} + 192 x^{4} - 352 x^{3} + 3400 x^{2} - 11160 x + 27598$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 4]$ $34329.1799954$
8.0.248669678479753216.12 $x^{8} - 2 x^{7} + 44 x^{6} + 4 x^{5} + 318 x^{4} + 2212 x^{3} + 8152 x^{2} + 39964 x + 60622$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $69521.8785675$
8.0.248669678479753216.14 $x^{8} - 4 x^{7} + 48 x^{6} + 24 x^{5} - 628 x^{4} + 1664 x^{3} + 7848 x^{2} - 48608 x + 100732$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 2]$ $70241.07018$
8.0.248669678479753216.15 $x^{8} - 4 x^{7} + 774 x^{4} + 860 x^{3} + 21328 x^{2} + 74992 x + 104189$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $85419.5267485$
8.0.248669678479753216.18 $x^{8} - 4 x^{7} + 20 x^{6} + 356 x^{5} - 1550 x^{4} + 3268 x^{3} + 55516 x^{2} - 237444 x + 738641$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 2]$ $69007.048577$
8.0.248669678479753216.21 $x^{8} - 2 x^{7} + 34 x^{6} + 26 x^{5} + 954 x^{4} + 4522 x^{3} + 22386 x^{2} + 49958 x + 37335$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $67170.2419364$
8.0.248669678479753216.22 $x^{8} - 2 x^{7} + 8 x^{6} - 200 x^{5} + 110 x^{4} + 4164 x^{3} + 23916 x^{2} + 58952 x + 47966$ $2^{14}\cdot 7^{4}\cdot 43^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $75584.7204674$
8.0.813961029111660544.1 $x^{8} - 2 x^{7} - 4 x^{6} - 106 x^{5} + 702 x^{4} - 1986 x^{3} + 3720 x^{2} - 3254 x + 995$ $2^{14}\cdot 17^{4}\cdot 29^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 2]$ $136420.235884$
8.8.813961029111660544.1 $x^{8} - 152 x^{6} - 72 x^{5} + 6472 x^{4} + 1936 x^{3} - 80160 x^{2} - 17984 x - 480$ $2^{14}\cdot 17^{4}\cdot 29^{6}$ $C_2^3:C_7$ (as 8T25) $[2]$ $3382166.65029$
8.0.813961029111660544.2 $x^{8} - 2 x^{7} - 14 x^{6} + 418 x^{5} + 1542 x^{4} - 7270 x^{3} + 10922 x^{2} - 7274 x + 2083$ $2^{14}\cdot 17^{4}\cdot 29^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 8]$ $83408.3082837$
8.0.813961029111660544.3 $x^{8} - 4 x^{7} + 40 x^{6} + 100 x^{5} + 788 x^{4} + 1208 x^{3} + 1880 x^{2} + 3800 x + 2668$ $2^{14}\cdot 17^{4}\cdot 29^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 4]$ $65587.6601422$
8.0.813961029111660544.4 $x^{8} - 2 x^{7} + 8 x^{6} - 80 x^{5} + 2146 x^{4} - 2788 x^{3} + 1084 x^{2} + 9092 x + 4470$ $2^{14}\cdot 17^{4}\cdot 29^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 2, 4]$ $67250.1390953$
8.0.813961029111660544.5 $x^{8} - 2 x^{7} + 116 x^{6} - 156 x^{5} + 3646 x^{4} - 2176 x^{3} + 37652 x^{2} + 920 x + 67182$ $2^{14}\cdot 17^{4}\cdot 29^{6}$ $C_2^3:C_7$ (as 8T25) $[2, 4]$ $176143.088392$
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