f = 8503 = 11 * 773 : \chi = \chi_{11}^{5} * \chi_{773}^{386} f(\chi) = 8503 ord(\chi) = 2 N(-B_{1,\chi}/2) = 24 = 2^3 * 3 ----- ----- f = 8504 = 2^3 * 1063 : \chi = \psi_{8} * \chi_{1063}^{531} f(\chi) = 8504 ord(\chi) = 2 N(-B_{1,\chi}/2) = 30 = 2 * 3 * 5 ----- ----- f = 8507 = 47 * 181 : \chi = \chi_{47}^{23} * \chi_{181}^{90} f(\chi) = 8507 ord(\chi) = 2 N(-B_{1,\chi}/2) = 9 = 3^2 ----- ----- f = 8511 = 3 * 2837 : \chi = \chi_{3} * \chi_{2837}^{1418} f(\chi) = 8511 ord(\chi) = 2 N(-B_{1,\chi}/2) = 47 = p(2) ----- ----- f = 8515 = 5 * 13 * 131 : \chi = \chi_{5}^{2} * \chi_{13}^{6} * \chi_{131}^{65} f(\chi) = 8515 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- ----- f = 8516 = 2^2 * 2129 : \chi = \chi_{4} * \chi_{2129}^{1064} f(\chi) = 8516 ord(\chi) = 2 N(-B_{1,\chi}/2) = 28 = 2^2 * 7 ----- ----- f = 8519 = 7 * 1217 : \chi = \chi_{7}^{3} * \chi_{1217}^{608} f(\chi) = 8519 ord(\chi) = 2 N(-B_{1,\chi}/2) = 55 = 5 * 11 ----- \chi = \chi_{7} * \chi_{1217}^{608} f(\chi) = 8519 ord(\chi) = 6 N(-B_{1,\chi}/2) = 124 = 2^2 * 31 ----- ----- f = 8520 = 2^3 * 3 * 5 * 71 : \chi = \chi_{4} * \psi_{8} * \chi_{3} * \chi_{5}^{2} * \chi_{71}^{35} f(\chi) = 8520 ord(\chi) = 2 N(-B_{1,\chi}/2) = 16 = 2^4 ----- \chi = \psi_{8} * \chi_{3} * \chi_{5} * \chi_{71}^{35} f(\chi) = 8520 ord(\chi) = 4 N(-B_{1,\chi}/2) = 200 = 2^3 * 5^2 ----- ----- f = 8523 = 3^2 * 947 : \chi = \chi_{3}^2 * \psi_{9} * \chi_{947}^{473} f(\chi) = 8523 ord(\chi) = 6 N(-B_{1,\chi}/2) = 399 = 3 * 7 * 19 ----- ----- f = 8528 = 2^4 * 13 * 41 : \chi = \chi_{4} * \psi_{16} * \chi_{13}^{6} * \chi_{41}^{20} f(\chi) = 8528 ord(\chi) = 4 N(-B_{1,\chi}/2) = 272 = 2^4 * 17 ----- ----- f = 8531 = 19 * 449 : \chi = \chi_{19}^{9} * \chi_{449}^{224} f(\chi) = 8531 ord(\chi) = 2 N(-B_{1,\chi}/2) = 25 = 5^2 ----- ----- f = 8533 = 7 * 23 * 53 : \chi = \chi_{7}^2 * \chi_{23}^{11} * \chi_{53}^{26} f(\chi) = 8533 ord(\chi) = 6 N(-B_{1,\chi}/2) = 351 = 3^3 * 13 ----- ----- f = 8535 = 3 * 5 * 569 : \chi = \chi_{3} * \chi_{5}^{2} * \chi_{569}^{284} f(\chi) = 8535 ord(\chi) = 2 N(-B_{1,\chi}/2) = 26 = 2 * 13 ----- ----- f = 8536 = 2^3 * 11 * 97 : \chi = \psi_{8} * \chi_{11}^{5} * \chi_{97}^{48} f(\chi) = 8536 ord(\chi) = 2 N(-B_{1,\chi}/2) = 16 = 2^4 ----- \chi = \chi_{4} * \psi_{8} * \chi_{11}^2 * \chi_{97}^{48} f(\chi) = 8536 ord(\chi) = 10 N(-B_{1,\chi}/2) = 31405 = 5 * 11 * 571 ----- ----- f = 8540 = 2^2 * 5 * 7 * 61 : \chi = \chi_{4} * \chi_{5} * \chi_{7}^{3} * \chi_{61}^{30} f(\chi) = 8540 ord(\chi) = 4 N(-B_{1,\chi}/2) = 200 = 2^3 * 5^2 ----- \chi = \chi_{4} * \chi_{5}^{2} * \chi_{7}^2 * \chi_{61}^{30} f(\chi) = 8540 ord(\chi) = 6 N(-B_{1,\chi}/2) = 103 = p(2) ----- ----- f = 8541 = 3^2 * 13 * 73 : \chi = \chi_{3} * \psi_{9} * \chi_{13}^{6} * \chi_{73}^{36} f(\chi) = 8541 ord(\chi) = 6 N(-B_{1,\chi}/2) = 148 = 2^2 * 37 ----- ----- f = 8545 = 5 * 1709 : \chi = \chi_{5} * \chi_{1709}^{854} f(\chi) = 8545 ord(\chi) = 4 N(-B_{1,\chi}/2) = 194 = 2 * 97 ----- ----- f = 8547 = 3 * 7 * 11 * 37 : \chi = \chi_{3} * \chi_{7}^{3} * \chi_{11}^{5} * \chi_{37}^{18} f(\chi) = 8547 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- \chi = \chi_{3} * \chi_{7} * \chi_{11}^{5} * \chi_{37}^{18} f(\chi) = 8547 ord(\chi) = 6 N(-B_{1,\chi}/2) = 247 = 13 * 19 ----- ----- f = 8548 = 2^2 * 2137 : \chi = \chi_{4} * \chi_{2137}^{1068} f(\chi) = 8548 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- ----- f = 8551 = 17 * 503 : \chi = \chi_{17}^{8} * \chi_{503}^{251} f(\chi) = 8551 ord(\chi) = 2 N(-B_{1,\chi}/2) = 25 = 5^2 ----- ----- f = 8552 = 2^3 * 1069 : \chi = \chi_{4} * \psi_{8} * \chi_{1069}^{534} f(\chi) = 8552 ord(\chi) = 2 N(-B_{1,\chi}/2) = 21 = 3 * 7 ----- ----- f = 8555 = 5 * 29 * 59 : \chi = \chi_{5}^{2} * \chi_{29}^{14} * \chi_{59}^{29} f(\chi) = 8555 ord(\chi) = 2 N(-B_{1,\chi}/2) = 16 = 2^4 ----- ----- f = 8560 = 2^4 * 5 * 107 : \chi = \psi_{16} * \chi_{5}^{2} * \chi_{107}^{53} f(\chi) = 8560 ord(\chi) = 4 N(-B_{1,\chi}/2) = 162 = 2 * 3^4 ----- ----- f = 8561 = 7 * 1223 : \chi = \chi_{7}^2 * \chi_{1223}^{611} f(\chi) = 8561 ord(\chi) = 6 N(-B_{1,\chi}/2) = 117 = 3^2 * 13 ----- ----- f = 8564 = 2^2 * 2141 : \chi = \chi_{4} * \chi_{2141}^{1070} f(\chi) = 8564 ord(\chi) = 2 N(-B_{1,\chi}/2) = 39 = 3 * 13 ----- ----- f = 8565 = 3 * 5 * 571 : \chi = \chi_{3} * \chi_{5} * \chi_{571}^{285} f(\chi) = 8565 ord(\chi) = 4 N(-B_{1,\chi}/2) = 200 = 2^3 * 5^2 ----- ----- f = 8567 = 13 * 659 : \chi = \chi_{13}^{6} * \chi_{659}^{329} f(\chi) = 8567 ord(\chi) = 2 N(-B_{1,\chi}/2) = 42 = 2 * 3 * 7 ----- ----- f = 8568 = 2^3 * 3^2 * 7 * 17 : \chi = \chi_{4} * \psi_{8} * \chi_{3} * \psi_{9} * \chi_{7}^{3} * \chi_{17}^{8} f(\chi) = 8568 ord(\chi) = 6 N(-B_{1,\chi}/2) = 156 = 2^2 * 3 * 13 ----- \chi = \psi_{8} * \chi_{3}^2 * \psi_{9} * \chi_{7}^{3} * \chi_{17}^{8} f(\chi) = 8568 ord(\chi) = 6 N(-B_{1,\chi}/2) = 244 = 2^2 * 61 ----- ----- f = 8569 = 11 * 19 * 41 : \chi = \chi_{11}^2 * \chi_{19}^{9} * \chi_{41}^{20} f(\chi) = 8569 ord(\chi) = 10 N(-B_{1,\chi}/2) = 64955 = 5 * 11 * 1181 ----- ----- f = 8571 = 3 * 2857 : \chi = \chi_{3} * \chi_{2857}^{1428} f(\chi) = 8571 ord(\chi) = 2 N(-B_{1,\chi}/2) = 18 = 2 * 3^2 ----- ----- f = 8577 = 3^2 * 953 : \chi = \chi_{3} * \psi_{9} * \chi_{953}^{476} f(\chi) = 8577 ord(\chi) = 6 N(-B_{1,\chi}/2) = 156 = 2^2 * 3 * 13 ----- ----- f = 8579 = 23 * 373 : \chi = \chi_{23}^{11} * \chi_{373}^{186} f(\chi) = 8579 ord(\chi) = 2 N(-B_{1,\chi}/2) = 21 = 3 * 7 ----- ----- f = 8580 = 2^2 * 3 * 5 * 11 * 13 : \chi = \chi_{4} * \chi_{3} * \chi_{5}^{2} * \chi_{11}^{5} * \chi_{13}^{6} f(\chi) = 8580 ord(\chi) = 2 N(-B_{1,\chi}/2) = 16 = 2^4 ----- ----- f = 8583 = 3 * 2861 : \chi = \chi_{3} * \chi_{2861}^{1430} f(\chi) = 8583 ord(\chi) = 2 N(-B_{1,\chi}/2) = 25 = 5^2 ----- ----- f = 8584 = 2^3 * 29 * 37 : \chi = \chi_{4} * \psi_{8} * \chi_{29}^{14} * \chi_{37}^{18} f(\chi) = 8584 ord(\chi) = 2 N(-B_{1,\chi}/2) = 14 = 2 * 7 ----- ----- f = 8585 = 5 * 17 * 101 : \chi = \chi_{5} * \chi_{17}^{8} * \chi_{101}^{50} f(\chi) = 8585 ord(\chi) = 4 N(-B_{1,\chi}/2) = 160 = 2^5 * 5 ----- ----- f = 8587 = 31 * 277 : \chi = \chi_{31}^{15} * \chi_{277}^{138} f(\chi) = 8587 ord(\chi) = 2 N(-B_{1,\chi}/2) = 9 = 3^2 ----- ----- f = 8589 = 3 * 7 * 409 : \chi = \chi_{3} * \chi_{7}^2 * \chi_{409}^{204} f(\chi) = 8589 ord(\chi) = 6 N(-B_{1,\chi}/2) = 313 = p(2) ----- ----- f = 8592 = 2^4 * 3 * 179 : \chi = \chi_{4} * \psi_{16} * \chi_{3} * \chi_{179}^{89} f(\chi) = 8592 ord(\chi) = 4 N(-B_{1,\chi}/2) = 170 = 2 * 5 * 17 ----- ----- f = 8593 = 13 * 661 : \chi = \chi_{13}^3 * \chi_{661}^{330} f(\chi) = 8593 ord(\chi) = 4 N(-B_{1,\chi}/2) = 325 = 5^2 * 13 ----- \chi = \chi_{13} * \chi_{661}^{330} f(\chi) = 8593 ord(\chi) = 12 N(-B_{1,\chi}/2) = 31525 = 5^2 * 13 * 97 ----- ----- f = 8595 = 3^2 * 5 * 191 : \chi = \chi_{3}^2 * \psi_{9} * \chi_{5}^{2} * \chi_{191}^{95} f(\chi) = 8595 ord(\chi) = 6 N(-B_{1,\chi}/2) = 289 = 17^2 ----- ----- f = 8596 = 2^2 * 7 * 307 : \chi = \chi_{4} * \chi_{7}^{3} * \chi_{307}^{153} f(\chi) = 8596 ord(\chi) = 2 N(-B_{1,\chi}/2) = 14 = 2 * 7 ----- \chi = \chi_{4} * \chi_{7} * \chi_{307}^{153} f(\chi) = 8596 ord(\chi) = 6 N(-B_{1,\chi}/2) = 244 = 2^2 * 61 ----- -----