Table

−d Cl(K) K_{1} K_{2} l G
3 {1} K  0 {1}
4 {1} K  0 {1}
7 {1} K  0 {1}
8 {1} K  0 {1}
11 {1} K  0 {1}
15 C_{2} K(\sqrt{−3})  1 C_{2}
19 {1} K  0 {1}
20 C_{2} K(\sqrt{−1})  1 C_{2}
23 C_{3} K(α_{1})  1 C_{3}
24 C_{2} K(\sqrt{−3})  1 C_{2}
31 C_{3} K(α_{2})  1 C_{3}
35 C_{2} K(\sqrt{5})  1 C_{2}
39 C_{4} K(\sqrt{(−1 + \sqrt{13})/2})  1 C_{4}
40 C_{2} K(\sqrt{5})  1 C_{2}
43 {1} K  0 {1}
47 C_{5} K(γ_{1})  1 C_{5}
51 C_{2} K(\sqrt{−3})  1 C_{2}
52 C_{2} K(\sqrt{−1})  1 C_{2}
55 C_{4} K(\sqrt{3 + 2\sqrt{5}})  1 C_{4}
56 C_{4} K(\sqrt{−1 + 2\sqrt{2}})  1 C_{4}
59 C_{3} K(α_{4})  1 C_{3}
67 {1} K  0 {1}
68 C_{4} K(\sqrt{(1 + \sqrt{17})/2})  1 C_{4}
71 C_{7}  1 C_{7}
79 C_{5} K(γ_{2})  1 C_{5}
83 C_{3} K(α_{6})  1 C_{3}
84 V_{4} K(\sqrt{−1}, \sqrt{−3})  1 V_{4}
87 C_{6} K(\sqrt[3]{(5 + \sqrt{29})/2})  1 C_{6}
88 C_{2} K(\sqrt{2})  1 C_{2}
91 C_{2} K(\sqrt{−7})  1 C_{2}
95 C_{8}  1 C_{8}
103 C_{5} K(γ_{3})  1 C_{5}
104 C_{6} K(\sqrt{−2}, α_{8})  1 C_{6}
107 C_{3} K(α_{9})  1 C_{3}
111 C_{8}  1 C_{8}
115 C_{2} K(\sqrt{5}) K_{1}(α_{1}) 2 D_{3}
116 C_{6} K(\sqrt{−1}, α_{11})  1 C_{6}
119 C_{10} K(\sqrt{−7}, γ_{4})  1 C_{10}
120 V_{4} K(\sqrt{−3}, \sqrt{5})  K_{1}(\sqrt{(2\sqrt{2} + \sqrt{5})(2 + \sqrt{5})}) 2 Q_{8}
123 C_{2} K(\sqrt{−3})  1 C_{2}

Continued

−d Cl(K)  K_{1}  K_{2}  l  G
127  C_{5} K(γ_{5})  1 C_{5}
131  C_{5} K(γ_{6})  1 C_{5}
132  V_{4}  K(\sqrt{−1}, \sqrt{−3})  1  V_{4}
136  C_{4} K(\sqrt{(3 + \sqrt{17})/2})  1 C_{4}
139  C_{3} K(α_{13})  1 C_{3}
143  C_{10} K(\sqrt{−11}, γ_{7})  1 C_{10}
148  C_{2} K(\sqrt{−1})  1 C_{2}
151  C_{7}  1 C_{7}
152  C_{6} K(\sqrt{2}, α_{15})  1 C_{6}
155  C_{4} K(\sqrt{(−1 + 5\sqrt{5})/2})  K_{1}(α_{2})  2 Q_{12}
159  C_{10} K(\sqrt{−3}, γ_{8})  1 C_{10}
163  {1} K  0 {1}
164  C_{8}  1 C_{8}
167  C_{11}  1 C_{11}
168  V_{4}  K(\sqrt{−2}, \sqrt{−3})  1  V_{4}
179  C_{5} K(γ_{9})  1 C_{5}
183  C_{8}  1 C_{8}
184  C_{4} K(\sqrt{−3 + 4\sqrt{2}})  K_{1}(α_{1})  2 Q_{12}
187  C_{2} K(\sqrt{−11})  1 C_{2}
191  C_{13}  1 C_{13}
195  V_{4}  K(\sqrt{−3}, \sqrt{5})  2 Q_{16}
199  C_{9}  1 C_{9}
203  C_{4} K(\sqrt{(−1 + \sqrt{29})/2})  1 C_{4}
211  C_{3} K(α_{21})  1 C_{3}
212  C_{6} K(\sqrt{−1}, α_{22})  1 C_{6}
215  C_{14}  1 C_{14}
219  C_{4} K(\sqrt{−17 + 2\sqrt{73}})  1 C_{4}
223  C_{7}  1 C_{7}
227  C_{5} K(γ_{10})  1 C_{5}
228  V_{4}  K(\sqrt{−1}, \sqrt{−3})  1  V_{4}
231 C_{6} × C_{2} K(\sqrt{−7}, \sqrt[3]{(9 + \sqrt{77})/2})  1 C_{6} × C_{2}
232  C_{2} K(\sqrt{−2})  1 C_{2}
235  C_{2} K(\sqrt{5})  K_{1}(γ_{1})  2 D_{5}
239  C_{15} K(α_{25}, γ_{11})  1 C_{15}
244  C_{6} K(\sqrt{−1}, α_{27})  1 C_{6}
247  C_{6} K(\sqrt{13}, α_{28})  1 C_{6}
248  C_{8}  K_{1}(α_{2})  2  I_{3}^{8}
251  C_{7}  1 C_{7}
255 C_{6} × C_{2} K(\sqrt{5}, \sqrt[3]{(9 + \sqrt{85})/2}) K_{1}(\sqrt{(2\sqrt{−3} + \sqrt{5})(2 + \sqrt{5})}) 2 Q_{8} × C_{3}
259  C_{4} K(\sqrt{(3 + \sqrt{37})/2})  1 C_{4}

Continued

−d Cl(K)  K_{1}  K_{2}  l  G
260 C_{4} × C_{2} K(\sqrt{5}, \sqrt{8 + \sqrt{65}})  2 M_{16}
263 C_{13} 1 C_{13}
264 C_{4} × C_{2} K(\sqrt{−3}, \sqrt{(−5 + \sqrt{33})/2})  1 C_{4} × C_{2}
267  C_{2} K(\sqrt{−3})  1  C_{2}
271  C_{11}  1 C_{11}
276 C_{4} × C_{2} K(\sqrt{−1}, \sqrt{13 + 8\sqrt{3}})  K_{1}(α_{1}) 2 Q_{12} × C_{2}
280  V_{4}  K(\sqrt{−7}, \sqrt{5})  2 Q_{16}
283  C_{3} K(α_{31})  K_{1}(β_{1}) 3  Ã_{4}
287  C_{14}  1 C_{14}
291  C_{4} K(\sqrt{(−7 + \sqrt{97})/2})  1  C_{4}
292  C_{4} K(\sqrt{(−3 + \sqrt{73})/2})  1  C_{4}
295  C_{8}  K_{1}(α_{4}) 2  I_{3}^{8}
296  C_{10} K(\sqrt{−2}, γ_{12})  1 C_{10}
299  C_{8}  K_{1}(α_{1}) 2  I_{3}^{8}
303  C_{10} K(\sqrt{−3}, γ_{13})  1 C_{10}
307  C_{3} K(α_{33})  1  C_{3}
308 C_{4} × C_{2} K(\sqrt{−1}, \sqrt{13 + 4\sqrt{11}})  1 C_{4} × C_{2}
311  C_{19}  1 C_{19}
312  V_{4}  K(\sqrt{−3}, \sqrt{2})  2 Q_{16}
319  C_{10} K(\sqrt{−11}, γ_{14})  1 C_{10}
323  C_{4} K(\sqrt{7 + 2\sqrt{17}})  1  C_{4}
327  C_{12} K(\sqrt{(−1 + \sqrt{109})/2}, \sqrt[3]{(261 + 25\sqrt{109})/2})  1 C_{12}
328  C_{4} K(\sqrt{(−3 + \sqrt{41})/2})  1  C_{4}
331  C_{3} K(α_{36})  K_{1}(β_{2}) 3  Ã_{4}
335  C_{18}  2 C_{18}
339  C_{6} K(\sqrt[3]{(9 + \sqrt{113})/2})  1  C_{6}
340  V_{4}  K(\sqrt{−1}, \sqrt{5})  2 SD_{16}
344  C_{10} K(\sqrt{2}, γ_{15})  1 C_{10}
347  C_{5} K(γ_{16})  1  C_{5}
355  C_{4} K(\sqrt{−3 + 4\sqrt{5}})  2 Q_{28}
356  C_{12} K(\sqrt{(−57 + \sqrt{89})/2}, α_{40})  1 C_{12}
359  C_{19}  1 C_{19}
367  C_{9}  1  C_{9}
371  C_{8}  1  C_{8}
372  V_{4}  K(\sqrt{−1}, \sqrt{−3})  K_{1}(α_{2}) 2  D_{6}
376  C_{8}  K_{1}(γ_{1}) 2  I_{5}^{8}
379  C_{3} K(α_{43})  1  C_{3}
383  C_{17}  1 C_{17}
388  C_{4} K(\sqrt{(9 + \sqrt{97})/2})  1  C_{4}
391  C_{14}  K_{1}(α_{1}) 2 D_{3} × C_{7}

Continued

−d Cl(K)  K_{1}  K_{2}  l  G
395  C_{8}  K_{1}(γ_{2})  2  I_{5}^{8}
399 C_{8} × C_{2}  1 C_{8} × C_{2}
403  C_{2}  K(\sqrt{13})  K_{1}(α_{2})  2  D_{3}
404  C_{14}  1 C_{14}
407  C_{16}  1 C_{16}
408  V_{4}  K(\sqrt{−3}, \sqrt{2})  K_{1}(\sqrt{−(5 + \sqrt{17})/2})  2  D_{4}
411  C_{6}  K(\sqrt[3]{(13 + \sqrt{137})/2})  1  C_{6}
415  C_{10} K(\sqrt{5}, γ_{18})  K_{1}(α_{6})  2 D_{3} × C_{5}
419  C_{9}  1  C_{9}
420  C_{2}^{3}  K(\sqrt{−1}, \sqrt{−3}, \sqrt{5})  2 32Γ_{4}c_{3}
424  C_{6}  K(\sqrt{−2}, α_{46})  1  C_{6}
427  C_{2}  K(\sqrt{−7})  1  C_{2}
431  C_{21}  1 C_{21}
435  V_{4}  K(\sqrt{−3}, \sqrt{5})  2 Q_{16} ⋉ C_{3}
436  C_{6}  K(\sqrt{−1}, α_{48})  1  C_{6}
439  C_{15} K(α_{49}, γ_{19})  1 C_{15}
440 C_{6} × C_{2} K(\sqrt{2}, \sqrt{5}, α_{50})  2 Q_{16} × C_{3}
443  C_{5}  K(γ_{20})  1  C_{5}
447  C_{14}  1 C_{14}
451  C_{6}  K(\sqrt{−11}, α_{51})  1  C_{6}
452  C_{8}  1  C_{8}
455 C_{10} × C_{2} K(\sqrt{−7}, \sqrt{5}, γ_{21})  K_{1}(\sqrt{(2\sqrt{13} − 3\sqrt{5})(2 + \sqrt{5})}) 2 Q_{8} × C_{5}
456 C_{4} × C_{2} K(\sqrt{−3}, \sqrt{(7 + \sqrt{57})/2})  1 C_{4} × C_{2}
463  C_{7}  1  C_{7}
467  C_{7}  1  C_{7}
471  C_{16}  1 C_{16}
472  C_{6}  K(\sqrt{2}, α_{54})  K_{1}(α_{4})  2 D_{3} × C_{3}
479  C_{25}  1 C_{25}
483  V_{4}  K(\sqrt{−3}, \sqrt{−7})  K_{1}(α_{1})  2  D_{6}
487  C_{7}  1  C_{7}
488  C_{10} K(\sqrt{−2}, γ_{23})  1 C_{10}
491  C_{9}  K_{1}(β_{3})  3 Ã_{4} ⋏ C_{9}
499  C_{3}  K(α_{58})  1  C_{3}
503  C_{21}  1 C_{21}
511  C_{14}  1 C_{14}
515  C_{6}  K(\sqrt{5}, α_{60})  K_{1}(γ_{3})  2 D_{5} × C_{3}
516 C_{6} × C_{2} K(\sqrt{−1}, \sqrt[3]{4 + \sqrt{43}})  1 C_{6} × C_{2}
519  C_{18}  1 C_{18}
520  V_{4}  K(\sqrt{−2}, \sqrt{5})  2 Q_{24}
523  C_{5}  K(γ_{25})  1  C_{5}

Continued

−d Cl(K)  K_{1}  K_{2}  l  G
527  C_{18}  K_{1}(α_{2}) 2 D_{3} × C_{9}
532  V_{4}  K(\sqrt{−1}, \sqrt{−7})  1  V_{4}
535  C_{14}  K_{1}(α_{9}) 2 D_{3} × C_{7}
536  C_{14}  1  C_{14}
543  C_{12} K(\sqrt{(−13 + \sqrt{181})/2}, \sqrt[3]{(17 + \sqrt{181})/2})  1  C_{12}
547  C_{3}  K(α_{66})  1  C_{3}
548  C_{8}  1  C_{8}
551  C_{26}  1  C_{26}
552 C_{4} × C_{2} K(\sqrt{−3}, \sqrt{−1 + 2\sqrt{6}})  K_{1}(α_{1}) 2 Q_{12} × C_{2}
555  V_{4}  K(\sqrt{−3}, \sqrt{5})  2  Q_{32}
559  C_{16}  1  C_{16}
563  C_{9}  K_{1}(β_{4}) 3 Ã_{4} ⋏ C_{9}
564 C_{4} × C_{2} K(\sqrt{−1}, \sqrt{1 + 4\sqrt{3}})  K_{1}(γ_{1}) 2 Q_{20} × C_{2}
568  C_{4}  K(\sqrt{−1 + 6\sqrt{2}})  2  Q_{28}
571  C_{5}  K(γ_{26})  1  C_{5}
579  C_{8}  1  C_{8}
580 C_{4} × C_{2} K(\sqrt{5}, \sqrt{12 + \sqrt{145}})  2 32Γ_{3}f ⋉ C_{3}
583  C_{8}  1  C_{8}
584  C_{16}  1  C_{16}
587  C_{7}  1  C_{7}
591  C_{22}  1  C_{22}
595  V_{4}  K(\sqrt{−7}, \sqrt{5})  2  Q_{40}
596  C_{14}  1  C_{14}
599  C_{25}  1  C_{25}
607  C_{13}  1  C_{13}
611  C_{10} K(\sqrt{13}, γ_{28})  K_{1}(γ_{1}) 2 D_{5} × C_{5}
615 C_{10} × C_{2} K(\sqrt{−3}, \sqrt{5}, γ_{29})  1 C_{10} × C_{2}
616 C_{4} × C_{2} K(\sqrt{−2}, \sqrt{−9 + 2\sqrt{22}})  1 C_{4} × C_{2}
619  C_{5}  K(γ_{30})  1  C_{5}
623  C_{22}  1  C_{22}
627  V_{4}  K(\sqrt{−3}, \sqrt{−11})  1  V_{4}
628  C_{6}  K(\sqrt{−1}, α_{71})  1  C_{6}
631  C_{13}  1  C_{13}
632  C_{8}  K_{1}(γ_{2}) 2  I_{5}^{8}
635  C_{10} K(\sqrt{5}, γ_{31})  K_{1}(γ_{5}) 2 D_{5} × C_{5}
643  C_{3}  K(α_{72})  K_{1}(β_{5}) 3  Ã_{4}
644 C_{8} × C_{2}  K_{1}(α_{1}) 2 D_{3} × C_{8}
647 C_{23} 1 C_{23}
651 C_{4} × C_{2} K(\sqrt{−7}, \sqrt{(13 + \sqrt{217})/2})  K_{1}(α_{2}) 2 D_{3} × C_{4}
655  C_{12} K(\sqrt{7 + 6\sqrt{5}}, α_{75})  K_{1}(γ_{6}) 2 Q_{20} × C_{3}

Continued

−d Cl(K)  K_{1}  K_{2}  l  G
659  C_{11}  1  C_{11}
660  C_{2}^{3}  K(\sqrt{−1}, \sqrt{−3}, \sqrt{5})  2  64Γ_{15}f_{2}
663 C_{8} × C_{2}  2  64Γ_{3}p
664  C_{10} K(\sqrt{2}, γ_{32})  K_{1}(α_{6}) 2  D_{3} × C_{5}
667  C_{4}  K(\sqrt{(−13 + 3\sqrt{29})/2})  K_{1}(α_{1}) 2  Q_{12}
671  C_{30} K(\sqrt{61}, α_{76}, γ_{33})  1  C_{30}
679  C_{18}  1  C_{18}
680 C_{6} × C_{2} K(\sqrt{−2}, \sqrt{5}, α_{80})  2 Q_{16} × C_{3}
683  C_{5}  K(γ_{34})  1  C_{5}
687  C_{12} K(\sqrt{(11 + \sqrt{229})/2}, \sqrt[3]{(27 + \sqrt{229})/2})  3 (S_{4} ⋏ C_{4}) × C_{3}
691  C_{5}  K(γ_{35})  1  C_{5}
692  C_{14}  1  C_{14}
695  C_{24}  K_{1}(α_{13}) 2  I_{3}^{8} × C_{3}
696 C_{6} × C_{2} K(\sqrt{2}, \sqrt[3]{99 + 13\sqrt{58}})  2 Q_{24} × C_{3}
699  C_{10} K(\sqrt{−3}, γ_{36})  1  C_{10}
703  C_{14}  1  C_{14}
707  C_{6}  K(\sqrt{−7}, α_{84})  1  C_{6}
708  V_{4}  K(\sqrt{−1}, \sqrt{−3})  K_{1}(α_{4}) 2  D_{6}
712  C_{8}  1  C_{8}
715  V_{4}  K(\sqrt{−11}, \sqrt{5})  2 Q_{16} ⋉ C_{5}
719  C_{31}  1  C_{31}
723  C_{4}  K(\sqrt{(−7 + \sqrt{241})/2})  1  C_{4}
724  C_{10} K(\sqrt{−1}, γ_{37})  1  C_{10}
727  C_{13}  1  C_{13}
728 C_{6} × C_{2} K(\sqrt{−7}, \sqrt{2}, α_{86})  2 Q_{16} × C_{3}
731  C_{12} K(\sqrt{−5 + 2\sqrt{17}}, α_{87})  3  Ã_{4} ⋎ C_{8}
739  C_{5}  K(γ_{38})  1  C_{5}
740 C_{8} × C_{2}  2  M_{32}
743  C_{21}  1  C_{21}
744 C_{6} × C_{2} K(\sqrt{−2}, \sqrt[3]{63 + 8\sqrt{62}})  K_{1}(α_{2}) 2  D_{3} × C_{6}
751  C_{15} K(α_{91}, γ_{39})  K_{1}(β_{8}) 3  Ã_{4} × C_{5}
755  C_{12} K(\sqrt{13 + 8\sqrt{5}}, α_{92})  2 Q_{28} × C_{3}
759 C_{12} × C_{2} K(\sqrt{−3}, \sqrt{(−5 + \sqrt{69})/2}, α_{94})  K_{1}(α_{1}) 2 D_{3} × C_{12}
760  V_{4}  K(\sqrt{2}, \sqrt{5})  2 Q_{32} ⋉ C_{3}
763  C_{4}  K(\sqrt{(−9 + \sqrt{109})/2})  1  C_{4}
767  C_{22}  K_{1}(α_{4}) 2 D_{3} × C_{11}
771  C_{6}  K(\sqrt[3]{16 + \sqrt{257}})  3  S_{4} × C_{3}
772  C_{4}  K(\sqrt{(−7 + \sqrt{193})/2})  1  C_{4}
776  C_{20} K(\sqrt{(−5 + \sqrt{97})/2}, γ_{40})  1  C_{20}
779  C_{10} K(\sqrt{−19}, γ_{41})  1  C_{10}

Continued

−d Cl(K)  K_{1}  K_{2}  l  G
787  C_{5}  K(γ_{42})  1  C_{5}
788  C_{10} K(\sqrt{−1}, γ_{43})  1 C_{10}
791  C_{32}  1 C_{32}
795  V_{4}  K(\sqrt{−3}, \sqrt{5})  2 Q_{40}
799  C_{16}  K_{1}(γ_{1}) 2  I_{5}^{16}
803  C_{10} K(\sqrt{−11}, γ_{44})  1 C_{10}
804 C_{6} × C_{2} K(\sqrt{−1}, \sqrt[3]{22 + 2\sqrt{67}})  1 C_{6} × C_{2}
807  C_{14}  1 C_{14}
808  C_{6}  K(\sqrt{−2}, α_{98})  1  C_{6}
811  C_{7}  1  C_{7}
815  C_{30} K(\sqrt{5}, α_{100}, γ_{45})  1 C_{30}
820 C_{4} × C_{2} K(\sqrt{−1}, \sqrt{6 + \sqrt{41}})  2 64Γ_{8}c_{2}
823  C_{9}  1  C_{9}
824  C_{20} K(\sqrt{5 + 8\sqrt{2}}, γ_{46})  K_{1}(γ_{3}) 2 Q_{20} × C_{5}
827  C_{7}  1  C_{7}
831  C_{28}  1 C_{28}
835  C_{6}  K(\sqrt{5}, α_{102})  2 D_{11} × C_{3}
836 C_{10} × C_{2} K(\sqrt{−1}, \sqrt{−11}, γ_{47})  1 C_{10} × C_{2}
839  C_{33}  1 C_{33}
840  C_{2}^{3}  K(\sqrt{−2}, \sqrt{−3}, \sqrt{5})  2 32Γ_{4}d
843  C_{6}  K(\sqrt[3]{(5 + \sqrt{281})/2})  1  C_{6}
851  C_{10} K(\sqrt{−23}, γ_{49})  K_{1}(α_{1}) 2 D_{3} × C_{5}
852 C_{4} × C_{2} K(\sqrt{−1}, \sqrt{2 + 5\sqrt{3}})  2 Q_{28} × C_{2}
856  C_{6}  K(\sqrt{2}, α_{105})  K_{1}(α_{9}) 4 S̃_{4} × C_{3}
859  C_{7}  1  C_{7}
863  C_{21}  1 C_{21}
868 C_{4} × C_{2} K(\sqrt{−1}, \sqrt{9 + 4\sqrt{7}})  K_{1}(α_{2}) 2 Q_{12} × C_{2}
871  C_{22}  1 C_{22}
872  C_{10} K(\sqrt{−2}, γ_{50})  1 C_{10}
879  C_{22}  1 C_{22}
883  C_{3}  K(α_{109})  1  ?
884 C_{8} × C_{2}  2 64Γ_{3}n_{2}
887 C_{29} 1 C_{29}
888 C_{6} × C_{2} K(\sqrt{2}, \sqrt[3]{43 + 5\sqrt{74}})  2 Q_{32} × C_{3}
895  C_{16}  K_{1}(γ_{9}) 2  I_{5}^{16}
899  C_{14}  K_{1}(α_{2}) 2 D_{3} × C_{7}
903 C_{8} × C_{2}  1 C_{8} × C_{2}
904  C_{8}  1  C_{8}
907  C_{3}  K(α_{112})  1  ?
911  C_{31}  1 C_{31}

Continued

−d Cl(K)  K_{1}  K_{2}  l  G
915 C_{4} × C_{2} K(\sqrt{−3}, \sqrt{(−1 + \sqrt{61})/2})  2  64Γ_{8}e
916  C_{10} K(\sqrt{−1}, γ_{52})  3  S_{4} × C_{5}
919  C_{19}  1  C_{19}
920 C_{10} × C_{2} K(\sqrt{2}, \sqrt{5}, γ_{53})  2 (Q_{16} ⋉ C_{3}) × C_{5}
923  C_{10} K(\sqrt{13}, γ_{54})  2  D_{7} × C_{5}
932  C_{12} K(\sqrt{(13 + \sqrt{233})/2}, α_{115})  1  C_{12}
935 C_{14} × C_{2}  2  Q_{16} × C_{7}
939  C_{8}  1  C_{8}
943  C_{16}  K_{1}(α_{1})  2  I_{3}^{16}
947  C_{5}  K(γ_{55})  1  ?
948 C_{6} × C_{2} K(\sqrt{−1}, \sqrt[3]{80 + 9\sqrt{79}})  K_{1}(γ_{2})  2  D_{5} × C_{6}
951  C_{26}  1  C_{26}
952 C_{4} × C_{2} K(\sqrt{−7}, \sqrt{−9 + 10\sqrt{2}})  2 (C_{4} ≀ C_{2}) ⋉ C_{5}
955  C_{4}  K(\sqrt{(−9 + 13\sqrt{5})/2})  2  Q_{52}
959  C_{36}  1  C_{36}
964  C_{12} K(\sqrt{(−15 + \sqrt{241})/2}, α_{119})  1  C_{12}
967  C_{11}  1  C_{11}
971  C_{15} K(α_{120}, γ_{57})  1  C_{15}
979  C_{8}  1  C_{8}
983  C_{27}  1  C_{27}
984 C_{6} × C_{2} K(\sqrt{2}, \sqrt[3]{9 + \sqrt{82}})  3 (Q_{16} ⋉ C_{3}^{2}) × C_{3}
987 C_{4} × C_{2} K(\sqrt{−3}, \sqrt{(−1 + 3\sqrt{21})/2}) K_{1}(γ_{1})  2  Q_{20} × C_{2}
991  C_{17}  1  C_{17}
995  C_{8}  2  I_{9}^{8}
996 C_{6} × C_{2} K(\sqrt{−1}, \sqrt[3]{82 + 9\sqrt{83}})  K_{1}(α_{2}) ≧ 3  ?
1003  C_{4}  K(\sqrt{3 + 2\sqrt{17}})  K_{1}(α_{4}) ≧ 3  ?
1007  C_{30} K(\sqrt{−19}, α_{129}, γ_{59})  1  C_{30}
1011  C_{12} K(\sqrt{(17 + \sqrt{337})/2}, α_{130})  1  C_{12}
1012  V_{4}  K(\sqrt{−1}, \sqrt{−11})  K_{1}(α_{1}) ≧ 2  ?
1015 C_{8} × C_{2}  ≧ 2  ?
1016  C_{16}  ≧ 2  ?
1019  C_{13}  1  C_{13}
1023 C_{8} × C_{2}  ≧ 3  ?
1027  C_{4}  K(\sqrt{(3 + 5\sqrt{13})/2})  K_{1}(γ_{2}) ≧ 2  ?
1028  C_{16}  ≧ 3  ?
1031  C_{35}  1  C_{35}
1032 C_{4} × C_{2} K(\sqrt{−3}, \sqrt{(11 + \sqrt{129})/2})  1  ?
1039  C_{23}  1  C_{23}
1043  C_{8}  1  ?
1047  C_{16}  1  C_{16}

Continued

−d Cl(K)  K_{1}  K_{2}  l G
1048  C_{6}  K(\sqrt{2}, α_{132})  K_{1}(γ_{6}) ≧ 2 ?
1051  C_{5}  K(γ_{61})  1 ?
1055  C_{36}  ≧ 2
1059  C_{6}  K(\sqrt{−3}, α_{134})  1 ?
1060 C_{4} × C_{2} K(\sqrt{5}, \sqrt{(3 + \sqrt{265})/2})  ≧ 2 ?
1063 C_{19} 1 C_{19}
1064 C_{10} × C_{2} K(\sqrt{−2}, \sqrt{−7}, γ_{62})
1067  C_{12} K(\sqrt{−17 + \sqrt{97}}, α_{135})  ?
1076  C_{22}  1 ?
1079  C_{34}  ≧ 2
1087  C_{9}
1091  C_{17}  1 C_{17}
1092  C_{2}^{3}  K(\sqrt{−1}, \sqrt{−3}, \sqrt{−7})  ≧ 2
1095 C_{14} × C_{2}  ≧ 2
1096  C_{12} K(\sqrt{(−3 + \sqrt{137})/2}, α_{141})  ?
1099  C_{6}  K(\sqrt{−7}, α_{142})  ≧ 2 ?
1103  C_{23}  1 C_{23}
1108  C_{6}  K(\sqrt{−1}, α_{144})  1 ?
1111  C_{22}  1 ?
1112  C_{14}  ≧ 2
1115  C_{10} K(\sqrt{5}, γ_{63})  ≧ 2
1119  C_{32}
1123  C_{5}  K(γ_{64})  1 ?
1124  C_{20} K(\sqrt{(5 + \sqrt{281})/2}, γ_{65})  ?
1128 C_{4} × C_{2} K(\sqrt{−3}\sqrt{−7 + 4\sqrt{6}})  ≧ 2 ?
1131 C_{4} × C_{2} K(\sqrt{−3}, \sqrt{−11 + 4\sqrt{13}})  ≧ 2
1135 C_{18} ≧ 2
1139  C_{16}
1140 C_{4} × V_{4} K(\sqrt{−1}, \sqrt{−3}, \sqrt{2 + \sqrt{−15}})  ≧ 2
1144 C_{6} × C_{2} K(\sqrt{2}, \sqrt{−11}, α_{146})  ?
1147  C_{6}  K(\sqrt{−31}, α_{147})  K_{1}(α_{2}) ≧ 2 ?
1151  C_{41}  1 C_{41}
1155  C_{2}^{3}  K(\sqrt{−3}, \sqrt{5}, \sqrt{−7})  ≧ 2
1159  C_{16}
1160 C_{10} × C_{2} K(\sqrt{−2}, \sqrt{5}, γ_{66})  ≧ 2
1163  C_{7}  1 ?
1167  C_{22}  1 ?
1171  C_{7}  1 ?
1172  C_{18}
1187  C_{9}

Continued

−d Cl(K) K_{1} K_{2} l G
1191  C_{24}
1192 C_{6} K(\sqrt{−2}, α_{155}) ?
1195  C_{8}
1199  C_{38}
1203 C_{6} K(\sqrt{−3}, α_{157}) ?
1204 C_{4} × C_{2} K(\sqrt{−1}, \sqrt{6 + \sqrt{−7}})
1207  C_{18}  ≧ 2
1208  C_{12} K(\sqrt{7 + 10\sqrt{2}}, α_{159})  ?
1211  C_{14}
1219 C_{6} K(\sqrt{−23}, α_{160}) ≧ 2 ?
1220 C_{8} × C_{2}  ≧ 2
1223  C_{35}
1227 C_{4} K(\sqrt{(−19 + \sqrt{409})/2}) 1 ?
1231  C_{27}
1235 C_{6} × C_{2} K(\sqrt{5}, \sqrt{13}, α_{165})  ≧ 2 ?
1236 C_{6} × C_{2} K(\sqrt{−1}, \sqrt{−3}, α_{166})  ≧ 2 ?
1239 C_{16} × C_{2}  ≧ 2
1240 C_{4} × C_{2} K(\sqrt{2}, \sqrt{3 + 2\sqrt{10}})
1243 C_{4} K(\sqrt{−21 + 2\sqrt{113}}) 1 ?
1247  C_{26}
1252  C_{8}
1255 C_{12} K(\sqrt{(11 + 15\sqrt{5})/2}, α_{167}) ≧ 2 ?
1256  C_{26}
1259  C_{15} K(α_{168}, γ_{68})
1263  C_{20} K(\sqrt{11 + 10\sqrt{−3}}, γ_{69})
1267 C_{6} K(\sqrt{−7}, α_{169})
1268  C_{10} K(\sqrt{−1}, γ_{70})
1271  C_{40}
1272 C_{6} × C_{2} K(\sqrt{2}, \sqrt{−3}, α_{170})  ≧ 2 ?
1279  C_{23}
1283  C_{11}
1284 C_{10} × C_{2} K(\sqrt{−1}, \sqrt{−3}, γ_{72})
1288 C_{4} × C_{2} K(\sqrt{−2}, \sqrt{(11 + 3\sqrt{−7})/2})  ≧ 2
1291  C_{9}
1295 C_{6} × C_{2} K(\sqrt{5}, \sqrt{−7}, α_{173})  ≧ 2 ?
1299  C_{8}
1303  C_{11}
1304  C_{22}
1307  C_{11}
1311 C_{14} × C_{2}  ≧ 3 ?