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Results (7 matches)

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Label Polynomial Discriminant Galois group Class group Regulator
15.1.154669958288795403.1 $x^{15} - x^{12} + 2 x^{9} - 3 x^{6} + 3 x^{3} - 1$ $-\,3^{15}\cdot 47^{6}$ $C_3^4:D_{10}$ (as 15T43) trivial $255.941349852$
15.1.154669958288795403.2 $x^{15} - 2 x^{12} + 2 x^{9} - x^{6} + 1$ $-\,3^{15}\cdot 47^{6}$ $C_3^4:D_{10}$ (as 15T43) trivial $288.777984962$
15.1.154669958288795403.3 $x^{15} - 3 x^{12} + 4 x^{9} - 3 x^{6} + x^{3} - 1$ $-\,3^{15}\cdot 47^{6}$ $C_3^4:D_{10}$ (as 15T43) trivial $291.92845219900784$
15.1.154669958288795403.4 $x^{15} - 3 x^{12} + 4 x^{9} - 3 x^{6} + x^{3} - 1$ $-\,3^{15}\cdot 47^{6}$ $C_3^4:D_{10}$ (as 15T43) trivial $291.92845219900784$
15.1.154669958288795403.5 $x^{15} - 3 x^{12} + 4 x^{9} - 3 x^{6} + x^{3} - 1$ $-\,3^{15}\cdot 47^{6}$ $C_3^4:D_{10}$ (as 15T43) trivial $291.92845219900784$
15.1.154669958288795403.6 $x^{15} - 3 x^{12} + 4 x^{9} - 3 x^{6} + x^{3} - 1$ $-\,3^{15}\cdot 47^{6}$ $C_3^4:D_{10}$ (as 15T43) trivial $291.92845219900784$
15.3.726...941.1 $x^{15} + 3 x^{13} - 5 x^{12} + 9 x^{11} - 15 x^{10} - 20 x^{9} + 45 x^{8} - 165 x^{7} + 216 x^{6} - 351 x^{5} + 336 x^{4} - 242 x^{3} + 81 x^{2} - 15 x + 1$ $3^{15}\cdot 47^{7}$ $C_3^4:D_{10}$ (as 15T43) trivial $2590.79097197$
15.3.726...941.2 $x^{15} + 6 x^{13} - 4 x^{12} + 9 x^{11} + 3 x^{10} - 18 x^{9} + 45 x^{8} - 126 x^{7} + 216 x^{6} - 324 x^{5} + 243 x^{4} - 205 x^{3} + 90 x^{2} - 30 x + 11$ $3^{15}\cdot 47^{7}$ $C_3^4:D_{10}$ (as 15T43) trivial $2652.22907153$
15.5.662...523.1 $x^{15} - 2 x^{12} - 6 x^{9} + 15 x^{6} - 8 x^{3} + 1$ $-\,3^{13}\cdot 401^{6}$ $C_3^4:D_{10}$ (as 15T43) trivial $276624.713435$
15.5.596...707.1 $x^{15} - 20 x^{9} - 27 x^{6} - 10 x^{3} - 1$ $-\,3^{15}\cdot 401^{6}$ $C_3^4:D_{10}$ (as 15T43) trivial $568023.433984$
15.5.596...707.2 $x^{15} - 4 x^{12} + x^{9} + 7 x^{6} - 3 x^{3} - 1$ $-\,3^{15}\cdot 401^{6}$ $C_3^4:D_{10}$ (as 15T43) trivial $570718.1182507712$
15.5.596...707.3 $x^{15} - 4 x^{12} + x^{9} + 7 x^{6} - 3 x^{3} - 1$ $-\,3^{15}\cdot 401^{6}$ $C_3^4:D_{10}$ (as 15T43) trivial $570718.1182507712$
15.15.691...125.1 $x^{15} - x^{14} - 4452 x^{13} - 50296 x^{12} + 5784843 x^{11} + 91964349 x^{10} - 3060924423 x^{9} - 54750997444 x^{8} + 781942057449 x^{7} + 14664282257229 x^{6} - 102907697118067 x^{5} - 1901998615798914 x^{4} + 6977459265924253 x^{3} + 113854569421380357 x^{2} - 202156325407652112 x - 2402311520555338669$ $3^{12}\cdot 5^{5}\cdot 79^{4}\cdot 401^{7}\cdot 50329^{4}$ $C_3^4:D_{10}$ (as 15T43) $[3]$ $5820768023810000000000$
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