f = 1001 = 7 * 11 * 13 : \chi = \chi_{7}^{3} * \chi_{11}^{5} * \chi_{13}^3 f(\chi) = 1001 ord(\chi) = 4 N(-B_{1,\chi}/2) = 10 = 2 * 5 ----- \chi = \chi_{7}^2 * \chi_{11}^{5} * \chi_{13}^{6} f(\chi) = 1001 ord(\chi) = 6 N(-B_{1,\chi}/2) = 12 = 2^2 * 3 ----- \chi = \chi_{7}^{3} * \chi_{11}^2 * \chi_{13}^{6} f(\chi) = 1001 ord(\chi) = 10 N(-B_{1,\chi}/2) = 1111 = 11 * 101 ----- \chi = \chi_{7}^{3} * \chi_{11}^{5} * \chi_{13} f(\chi) = 1001 ord(\chi) = 12 N(-B_{1,\chi}/2) = 1693 = p(2) ----- ----- f = 1003 = 17 * 59 : \chi = \chi_{17}^{8} * \chi_{59}^{29} f(\chi) = 1003 ord(\chi) = 2 N(-B_{1,\chi}/2) = 2 = p(1) ----- ----- f = 1005 = 3 * 5 * 67 : \chi = \chi_{3} * \chi_{5} * \chi_{67}^{33} f(\chi) = 1005 ord(\chi) = 4 N(-B_{1,\chi}/2) = 26 = 2 * 13 ----- ----- f = 1007 = 19 * 53 : \chi = \chi_{19}^{9} * \chi_{53}^{26} f(\chi) = 1007 ord(\chi) = 2 N(-B_{1,\chi}/2) = 15 = 3 * 5 ----- ----- f = 1011 = 3 * 337 : \chi = \chi_{3} * \chi_{337}^{168} f(\chi) = 1011 ord(\chi) = 2 N(-B_{1,\chi}/2) = 6 = 2 * 3 ----- ----- f = 1012 = 2^2 * 11 * 23 : \chi = \chi_{4} * \chi_{11}^{5} * \chi_{23}^{11} f(\chi) = 1012 ord(\chi) = 2 N(-B_{1,\chi}/2) = 2 = p(1) ----- ----- f = 1015 = 5 * 7 * 29 : \chi = \chi_{5}^{2} * \chi_{7}^{3} * \chi_{29}^{14} f(\chi) = 1015 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- \chi = \chi_{5}^{2} * \chi_{7} * \chi_{29}^{14} f(\chi) = 1015 ord(\chi) = 6 N(-B_{1,\chi}/2) = 28 = 2^2 * 7 ----- ----- f = 1016 = 2^3 * 127 : \chi = \psi_{8} * \chi_{127}^{63} f(\chi) = 1016 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- ----- f = 1017 = 3^2 * 113 : \chi = \chi_{3} * \psi_{9} * \chi_{113}^{56} f(\chi) = 1017 ord(\chi) = 6 N(-B_{1,\chi}/2) = 21 = 3 * 7 ----- ----- f = 1020 = 2^2 * 3 * 5 * 17 : \chi = \chi_{4} * \chi_{3} * \chi_{5} * \chi_{17}^{8} f(\chi) = 1020 ord(\chi) = 4 N(-B_{1,\chi}/2) = 20 = 2^2 * 5 ----- ----- f = 1023 = 3 * 11 * 31 : \chi = \chi_{3} * \chi_{11}^{5} * \chi_{31}^{15} f(\chi) = 1023 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- ----- f = 1027 = 13 * 79 : \chi = \chi_{13}^{6} * \chi_{79}^{39} f(\chi) = 1027 ord(\chi) = 2 N(-B_{1,\chi}/2) = 2 = p(1) ----- ----- f = 1028 = 2^2 * 257 : \chi = \chi_{4} * \chi_{257}^{128} f(\chi) = 1028 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- ----- f = 1032 = 2^3 * 3 * 43 : \chi = \chi_{4} * \psi_{8} * \chi_{3} * \chi_{43}^{21} f(\chi) = 1032 ord(\chi) = 2 N(-B_{1,\chi}/2) = 4 = 2^2 ----- ----- f = 1035 = 3^2 * 5 * 23 : \chi = \chi_{3}^2 * \psi_{9} * \chi_{5}^{2} * \chi_{23}^{11} f(\chi) = 1035 ord(\chi) = 6 N(-B_{1,\chi}/2) = 31 = p(2) ----- ----- f = 1036 = 2^2 * 7 * 37 : \chi = \chi_{4} * \chi_{7}^2 * \chi_{37}^{18} f(\chi) = 1036 ord(\chi) = 6 N(-B_{1,\chi}/2) = 31 = p(2) ----- ----- f = 1040 = 2^4 * 5 * 13 : \chi = \chi_{4} * \psi_{16} * \chi_{5}^{2} * \chi_{13}^{6} f(\chi) = 1040 ord(\chi) = 4 N(-B_{1,\chi}/2) = 26 = 2 * 13 ----- ----- f = 1043 = 7 * 149 : \chi = \chi_{7}^{3} * \chi_{149}^{74} f(\chi) = 1043 ord(\chi) = 2 N(-B_{1,\chi}/2) = 4 = 2^2 ----- \chi = \chi_{7} * \chi_{149}^{74} f(\chi) = 1043 ord(\chi) = 6 N(-B_{1,\chi}/2) = 49 = 7^2 ----- ----- f = 1044 = 2^2 * 3^2 * 29 : \chi = \chi_{4} * \chi_{3}^2 * \psi_{9} * \chi_{29}^{14} f(\chi) = 1044 ord(\chi) = 6 N(-B_{1,\chi}/2) = 21 = 3 * 7 ----- ----- f = 1045 = 5 * 11 * 19 : \chi = \chi_{5} * \chi_{11}^{5} * \chi_{19}^{9} f(\chi) = 1045 ord(\chi) = 4 N(-B_{1,\chi}/2) = 16 = 2^4 ----- \chi = \chi_{5}^{2} * \chi_{11}^2 * \chi_{19}^{9} f(\chi) = 1045 ord(\chi) = 10 N(-B_{1,\chi}/2) = 205 = 5 * 41 ----- ----- f = 1047 = 3 * 349 : \chi = \chi_{3} * \chi_{349}^{174} f(\chi) = 1047 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- ----- f = 1048 = 2^3 * 131 : \chi = \psi_{8} * \chi_{131}^{65} f(\chi) = 1048 ord(\chi) = 2 N(-B_{1,\chi}/2) = 3 = p(1) ----- ----- f = 1055 = 5 * 211 : \chi = \chi_{5}^{2} * \chi_{211}^{105} f(\chi) = 1055 ord(\chi) = 2 N(-B_{1,\chi}/2) = 18 = 2 * 3^2 ----- ----- f = 1057 = 7 * 151 : \chi = \chi_{7}^2 * \chi_{151}^{75} f(\chi) = 1057 ord(\chi) = 6 N(-B_{1,\chi}/2) = 13 = p(2) ----- ----- f = 1059 = 3 * 353 : \chi = \chi_{3} * \chi_{353}^{176} f(\chi) = 1059 ord(\chi) = 2 N(-B_{1,\chi}/2) = 3 = p(1) ----- ----- f = 1060 = 2^2 * 5 * 53 : \chi = \chi_{4} * \chi_{5}^{2} * \chi_{53}^{26} f(\chi) = 1060 ord(\chi) = 2 N(-B_{1,\chi}/2) = 4 = 2^2 ----- ----- f = 1064 = 2^3 * 7 * 19 : \chi = \chi_{4} * \psi_{8} * \chi_{7}^{3} * \chi_{19}^{9} f(\chi) = 1064 ord(\chi) = 2 N(-B_{1,\chi}/2) = 10 = 2 * 5 ----- \chi = \psi_{8} * \chi_{7}^2 * \chi_{19}^{9} f(\chi) = 1064 ord(\chi) = 6 N(-B_{1,\chi}/2) = 21 = 3 * 7 ----- \chi = \chi_{4} * \psi_{8} * \chi_{7} * \chi_{19}^{9} f(\chi) = 1064 ord(\chi) = 6 N(-B_{1,\chi}/2) = 13 = p(2) ----- ----- f = 1065 = 3 * 5 * 71 : \chi = \chi_{3} * \chi_{5} * \chi_{71}^{35} f(\chi) = 1065 ord(\chi) = 4 N(-B_{1,\chi}/2) = 20 = 2^2 * 5 ----- ----- f = 1067 = 11 * 97 : \chi = \chi_{11}^{5} * \chi_{97}^{48} f(\chi) = 1067 ord(\chi) = 2 N(-B_{1,\chi}/2) = 6 = 2 * 3 ----- ----- f = 1071 = 3^2 * 7 * 17 : \chi = \chi_{3}^2 * \psi_{9} * \chi_{7}^{3} * \chi_{17}^{8} f(\chi) = 1071 ord(\chi) = 6 N(-B_{1,\chi}/2) = 12 = 2^2 * 3 ----- ----- f = 1072 = 2^4 * 67 : \chi = \psi_{16} * \chi_{67}^{33} f(\chi) = 1072 ord(\chi) = 4 N(-B_{1,\chi}/2) = 29 = p(2) ----- ----- f = 1076 = 2^2 * 269 : \chi = \chi_{4} * \chi_{269}^{134} f(\chi) = 1076 ord(\chi) = 2 N(-B_{1,\chi}/2) = 11 = p(2) ----- ----- f = 1079 = 13 * 83 : \chi = \chi_{13}^{6} * \chi_{83}^{41} f(\chi) = 1079 ord(\chi) = 2 N(-B_{1,\chi}/2) = 17 = p(2) ----- ----- f = 1085 = 5 * 7 * 31 : \chi = \chi_{5} * \chi_{7}^{3} * \chi_{31}^{15} f(\chi) = 1085 ord(\chi) = 4 N(-B_{1,\chi}/2) = 20 = 2^2 * 5 ----- \chi = \chi_{5}^{2} * \chi_{7}^2 * \chi_{31}^{15} f(\chi) = 1085 ord(\chi) = 6 N(-B_{1,\chi}/2) = 31 = p(2) ----- ----- f = 1092 = 2^2 * 3 * 7 * 13 : \chi = \chi_{4} * \chi_{3} * \chi_{7}^{3} * \chi_{13}^{6} f(\chi) = 1092 ord(\chi) = 2 N(-B_{1,\chi}/2) = 4 = 2^2 ----- \chi = \chi_{4} * \chi_{3} * \chi_{7} * \chi_{13}^{6} f(\chi) = 1092 ord(\chi) = 6 N(-B_{1,\chi}/2) = 28 = 2^2 * 7 ----- ----- f = 1095 = 3 * 5 * 73 : \chi = \chi_{3} * \chi_{5}^{2} * \chi_{73}^{36} f(\chi) = 1095 ord(\chi) = 2 N(-B_{1,\chi}/2) = 14 = 2 * 7 ----- ----- f = 1096 = 2^3 * 137 : \chi = \chi_{4} * \psi_{8} * \chi_{137}^{68} f(\chi) = 1096 ord(\chi) = 2 N(-B_{1,\chi}/2) = 6 = 2 * 3 ----- ----- f = 1099 = 7 * 157 : \chi = \chi_{7}^{3} * \chi_{157}^{78} f(\chi) = 1099 ord(\chi) = 2 N(-B_{1,\chi}/2) = 3 = p(1) ----- \chi = \chi_{7} * \chi_{157}^{78} f(\chi) = 1099 ord(\chi) = 6 N(-B_{1,\chi}/2) = 39 = 3 * 13 ----- -----