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Label Polynomial Discriminant Galois group Class group Regulator
30.0.893...671.1 $x^{30} - 3 x^{29} - 5 x^{28} + 23 x^{27} - 7 x^{26} - 43 x^{25} + 380 x^{24} - 1004 x^{23} - 505 x^{22} + 4147 x^{21} - 3960 x^{20} + 145 x^{19} + 33797 x^{18} - 104422 x^{17} + 76694 x^{16} + 164546 x^{15} - 470105 x^{14} + 125016 x^{13} + 1685293 x^{12} - 1720079 x^{11} - 1513677 x^{10} - 5549753 x^{9} + 23270864 x^{8} - 21911244 x^{7} + 5984424 x^{6} - 15339818 x^{5} + 45492605 x^{4} - 53109297 x^{3} + 35921397 x^{2} - 13035410 x + 2348809$ $-\,3^{15}\cdot 7^{15}\cdot 11^{27}$ $C_5\times S_3$ (as 30T2) $[2, 22]$ $9800307802.95059$
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