Properties

Label 300.2.n.a.11.4
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39367 - 0.240196i) q^{2} +(-0.354401 + 1.69541i) q^{3} +(1.88461 + 0.669506i) q^{4} +(-0.834949 + 2.07433i) q^{5} +(0.901146 - 2.27770i) q^{6} +4.41884i q^{7} +(-2.46571 - 1.38574i) q^{8} +(-2.74880 - 1.20171i) q^{9} +O(q^{10})\) \(q+(-1.39367 - 0.240196i) q^{2} +(-0.354401 + 1.69541i) q^{3} +(1.88461 + 0.669506i) q^{4} +(-0.834949 + 2.07433i) q^{5} +(0.901146 - 2.27770i) q^{6} +4.41884i q^{7} +(-2.46571 - 1.38574i) q^{8} +(-2.74880 - 1.20171i) q^{9} +(1.66189 - 2.69038i) q^{10} +(1.61865 - 1.17602i) q^{11} +(-1.80299 + 2.95791i) q^{12} +(-3.38641 - 2.46037i) q^{13} +(1.06139 - 6.15839i) q^{14} +(-3.22093 - 2.15072i) q^{15} +(3.10352 + 2.52352i) q^{16} +(3.68125 - 1.19611i) q^{17} +(3.54227 + 2.33503i) q^{18} +(1.43828 - 0.467325i) q^{19} +(-2.96233 + 3.35031i) q^{20} +(-7.49172 - 1.56604i) q^{21} +(-2.53833 + 1.25018i) q^{22} +(-4.23280 + 3.07531i) q^{23} +(3.22325 - 3.68927i) q^{24} +(-3.60572 - 3.46393i) q^{25} +(4.12855 + 4.24233i) q^{26} +(3.01156 - 4.23445i) q^{27} +(-2.95844 + 8.32779i) q^{28} +(-0.261648 - 0.0850147i) q^{29} +(3.97231 + 3.77104i) q^{30} +(-7.27504 + 2.36380i) q^{31} +(-3.71914 - 4.26239i) q^{32} +(1.42017 + 3.16105i) q^{33} +(-5.41773 + 0.782757i) q^{34} +(-9.16614 - 3.68951i) q^{35} +(-4.37587 - 4.10509i) q^{36} +(6.29882 + 4.57636i) q^{37} +(-2.11673 + 0.305827i) q^{38} +(5.37147 - 4.86937i) q^{39} +(4.93324 - 3.95767i) q^{40} +(-1.40177 + 1.92938i) q^{41} +(10.0648 + 3.98202i) q^{42} +8.38550i q^{43} +(3.83787 - 1.13264i) q^{44} +(4.78785 - 4.69857i) q^{45} +(6.63779 - 3.26926i) q^{46} +(-0.337481 + 1.03866i) q^{47} +(-5.37828 + 4.36740i) q^{48} -12.5261 q^{49} +(4.19315 + 5.69364i) q^{50} +(0.723254 + 6.66511i) q^{51} +(-4.73483 - 6.90406i) q^{52} +(-2.15032 - 0.698680i) q^{53} +(-5.21420 + 5.17804i) q^{54} +(1.08796 + 4.33953i) q^{55} +(6.12338 - 10.8956i) q^{56} +(0.282579 + 2.60409i) q^{57} +(0.344230 + 0.181329i) q^{58} +(7.92936 + 5.76102i) q^{59} +(-4.63028 - 6.20971i) q^{60} +(11.9609 - 8.69011i) q^{61} +(10.7068 - 1.54692i) q^{62} +(5.31014 - 12.1465i) q^{63} +(4.15943 + 6.83368i) q^{64} +(7.93110 - 4.97025i) q^{65} +(-1.21998 - 4.74656i) q^{66} +(3.58710 - 1.16552i) q^{67} +(7.73852 + 0.210413i) q^{68} +(-3.71379 - 8.26621i) q^{69} +(11.8883 + 7.34361i) q^{70} +(-2.48340 + 7.64312i) q^{71} +(5.11248 + 6.77219i) q^{72} +(-3.17919 + 2.30981i) q^{73} +(-7.67923 - 7.89087i) q^{74} +(7.15063 - 4.88554i) q^{75} +(3.02348 + 0.0822095i) q^{76} +(5.19663 + 7.15254i) q^{77} +(-8.65563 + 5.49608i) q^{78} +(-3.47119 - 1.12786i) q^{79} +(-7.82590 + 4.33074i) q^{80} +(6.11181 + 6.60650i) q^{81} +(2.41703 - 2.35221i) q^{82} +(-3.08863 - 9.50583i) q^{83} +(-13.0705 - 7.96713i) q^{84} +(-0.592524 + 8.63482i) q^{85} +(2.01416 - 11.6866i) q^{86} +(0.236863 - 0.413471i) q^{87} +(-5.62077 + 0.656682i) q^{88} +(1.36249 + 1.87530i) q^{89} +(-7.80124 + 5.39821i) q^{90} +(10.8720 - 14.9640i) q^{91} +(-10.0361 + 2.96188i) q^{92} +(-1.42933 - 13.1719i) q^{93} +(0.719817 - 1.36648i) q^{94} +(-0.231502 + 3.37367i) q^{95} +(8.54455 - 4.79485i) q^{96} +(0.529975 - 1.63109i) q^{97} +(17.4572 + 3.00872i) q^{98} +(-5.86257 + 1.28750i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39367 0.240196i −0.985471 0.169844i
\(3\) −0.354401 + 1.69541i −0.204613 + 0.978843i
\(4\) 1.88461 + 0.669506i 0.942306 + 0.334753i
\(5\) −0.834949 + 2.07433i −0.373401 + 0.927670i
\(6\) 0.901146 2.27770i 0.367891 0.929869i
\(7\) 4.41884i 1.67016i 0.550126 + 0.835082i \(0.314580\pi\)
−0.550126 + 0.835082i \(0.685420\pi\)
\(8\) −2.46571 1.38574i −0.871759 0.489934i
\(9\) −2.74880 1.20171i −0.916267 0.400569i
\(10\) 1.66189 2.69038i 0.525535 0.850772i
\(11\) 1.61865 1.17602i 0.488041 0.354582i −0.316390 0.948629i \(-0.602471\pi\)
0.804430 + 0.594047i \(0.202471\pi\)
\(12\) −1.80299 + 2.95791i −0.520479 + 0.853875i
\(13\) −3.38641 2.46037i −0.939220 0.682383i 0.00901283 0.999959i \(-0.497131\pi\)
−0.948233 + 0.317576i \(0.897131\pi\)
\(14\) 1.06139 6.15839i 0.283667 1.64590i
\(15\) −3.22093 2.15072i −0.831641 0.555314i
\(16\) 3.10352 + 2.52352i 0.775881 + 0.630879i
\(17\) 3.68125 1.19611i 0.892833 0.290099i 0.173557 0.984824i \(-0.444474\pi\)
0.719276 + 0.694725i \(0.244474\pi\)
\(18\) 3.54227 + 2.33503i 0.834920 + 0.550371i
\(19\) 1.43828 0.467325i 0.329964 0.107212i −0.139350 0.990243i \(-0.544501\pi\)
0.469314 + 0.883031i \(0.344501\pi\)
\(20\) −2.96233 + 3.35031i −0.662398 + 0.749152i
\(21\) −7.49172 1.56604i −1.63483 0.341738i
\(22\) −2.53833 + 1.25018i −0.541174 + 0.266540i
\(23\) −4.23280 + 3.07531i −0.882600 + 0.641247i −0.933938 0.357435i \(-0.883651\pi\)
0.0513378 + 0.998681i \(0.483651\pi\)
\(24\) 3.22325 3.68927i 0.657942 0.753068i
\(25\) −3.60572 3.46393i −0.721144 0.692785i
\(26\) 4.12855 + 4.24233i 0.809675 + 0.831990i
\(27\) 3.01156 4.23445i 0.579574 0.814919i
\(28\) −2.95844 + 8.32779i −0.559092 + 1.57381i
\(29\) −0.261648 0.0850147i −0.0485869 0.0157868i 0.284623 0.958640i \(-0.408132\pi\)
−0.333210 + 0.942853i \(0.608132\pi\)
\(30\) 3.97231 + 3.77104i 0.725241 + 0.688495i
\(31\) −7.27504 + 2.36380i −1.30664 + 0.424552i −0.877885 0.478871i \(-0.841046\pi\)
−0.428751 + 0.903423i \(0.641046\pi\)
\(32\) −3.71914 4.26239i −0.657457 0.753492i
\(33\) 1.42017 + 3.16105i 0.247221 + 0.550267i
\(34\) −5.41773 + 0.782757i −0.929133 + 0.134242i
\(35\) −9.16614 3.68951i −1.54936 0.623640i
\(36\) −4.37587 4.10509i −0.729312 0.684181i
\(37\) 6.29882 + 4.57636i 1.03552 + 0.752349i 0.969406 0.245463i \(-0.0789400\pi\)
0.0661137 + 0.997812i \(0.478940\pi\)
\(38\) −2.11673 + 0.305827i −0.343379 + 0.0496117i
\(39\) 5.37147 4.86937i 0.860123 0.779724i
\(40\) 4.93324 3.95767i 0.780013 0.625763i
\(41\) −1.40177 + 1.92938i −0.218920 + 0.301318i −0.904325 0.426844i \(-0.859625\pi\)
0.685405 + 0.728162i \(0.259625\pi\)
\(42\) 10.0648 + 3.98202i 1.55303 + 0.614439i
\(43\) 8.38550i 1.27878i 0.768884 + 0.639388i \(0.220812\pi\)
−0.768884 + 0.639388i \(0.779188\pi\)
\(44\) 3.83787 1.13264i 0.578581 0.170752i
\(45\) 4.78785 4.69857i 0.713730 0.700421i
\(46\) 6.63779 3.26926i 0.978689 0.482025i
\(47\) −0.337481 + 1.03866i −0.0492266 + 0.151504i −0.972648 0.232283i \(-0.925380\pi\)
0.923422 + 0.383787i \(0.125380\pi\)
\(48\) −5.37828 + 4.36740i −0.776287 + 0.630379i
\(49\) −12.5261 −1.78945
\(50\) 4.19315 + 5.69364i 0.593001 + 0.805202i
\(51\) 0.723254 + 6.66511i 0.101276 + 0.933302i
\(52\) −4.73483 6.90406i −0.656603 0.957420i
\(53\) −2.15032 0.698680i −0.295369 0.0959711i 0.157584 0.987506i \(-0.449629\pi\)
−0.452953 + 0.891534i \(0.649629\pi\)
\(54\) −5.21420 + 5.17804i −0.709563 + 0.704642i
\(55\) 1.08796 + 4.33953i 0.146701 + 0.585142i
\(56\) 6.12338 10.8956i 0.818271 1.45598i
\(57\) 0.282579 + 2.60409i 0.0374285 + 0.344920i
\(58\) 0.344230 + 0.181329i 0.0451997 + 0.0238097i
\(59\) 7.92936 + 5.76102i 1.03231 + 0.750021i 0.968771 0.247958i \(-0.0797596\pi\)
0.0635442 + 0.997979i \(0.479760\pi\)
\(60\) −4.63028 6.20971i −0.597767 0.801670i
\(61\) 11.9609 8.69011i 1.53144 1.11266i 0.576006 0.817446i \(-0.304611\pi\)
0.955433 0.295209i \(-0.0953894\pi\)
\(62\) 10.7068 1.54692i 1.35976 0.196459i
\(63\) 5.31014 12.1465i 0.669015 1.53032i
\(64\) 4.15943 + 6.83368i 0.519929 + 0.854210i
\(65\) 7.93110 4.97025i 0.983732 0.616484i
\(66\) −1.21998 4.74656i −0.150169 0.584261i
\(67\) 3.58710 1.16552i 0.438234 0.142391i −0.0815869 0.996666i \(-0.525999\pi\)
0.519821 + 0.854276i \(0.325999\pi\)
\(68\) 7.73852 + 0.210413i 0.938434 + 0.0255164i
\(69\) −3.71379 8.26621i −0.447088 0.995135i
\(70\) 11.8883 + 7.34361i 1.42093 + 0.877729i
\(71\) −2.48340 + 7.64312i −0.294725 + 0.907071i 0.688588 + 0.725153i \(0.258231\pi\)
−0.983314 + 0.181919i \(0.941769\pi\)
\(72\) 5.11248 + 6.77219i 0.602512 + 0.798110i
\(73\) −3.17919 + 2.30981i −0.372096 + 0.270343i −0.758079 0.652162i \(-0.773862\pi\)
0.385984 + 0.922506i \(0.373862\pi\)
\(74\) −7.67923 7.89087i −0.892692 0.917295i
\(75\) 7.15063 4.88554i 0.825684 0.564133i
\(76\) 3.02348 + 0.0822095i 0.346817 + 0.00943008i
\(77\) 5.19663 + 7.15254i 0.592210 + 0.815108i
\(78\) −8.65563 + 5.49608i −0.980058 + 0.622309i
\(79\) −3.47119 1.12786i −0.390539 0.126894i 0.107164 0.994241i \(-0.465823\pi\)
−0.497703 + 0.867348i \(0.665823\pi\)
\(80\) −7.82590 + 4.33074i −0.874962 + 0.484191i
\(81\) 6.11181 + 6.60650i 0.679089 + 0.734056i
\(82\) 2.41703 2.35221i 0.266917 0.259758i
\(83\) −3.08863 9.50583i −0.339021 1.04340i −0.964707 0.263325i \(-0.915181\pi\)
0.625686 0.780075i \(-0.284819\pi\)
\(84\) −13.0705 7.96713i −1.42611 0.869285i
\(85\) −0.592524 + 8.63482i −0.0642682 + 0.936578i
\(86\) 2.01416 11.6866i 0.217193 1.26020i
\(87\) 0.236863 0.413471i 0.0253944 0.0443287i
\(88\) −5.62077 + 0.656682i −0.599176 + 0.0700025i
\(89\) 1.36249 + 1.87530i 0.144423 + 0.198782i 0.875100 0.483942i \(-0.160795\pi\)
−0.730677 + 0.682723i \(0.760795\pi\)
\(90\) −7.80124 + 5.39821i −0.822323 + 0.569021i
\(91\) 10.8720 14.9640i 1.13969 1.56865i
\(92\) −10.0361 + 2.96188i −1.04634 + 0.308798i
\(93\) −1.42933 13.1719i −0.148214 1.36586i
\(94\) 0.719817 1.36648i 0.0742435 0.140942i
\(95\) −0.231502 + 3.37367i −0.0237516 + 0.346131i
\(96\) 8.54455 4.79485i 0.872075 0.489373i
\(97\) 0.529975 1.63109i 0.0538108 0.165613i −0.920539 0.390650i \(-0.872250\pi\)
0.974350 + 0.225037i \(0.0722504\pi\)
\(98\) 17.4572 + 3.00872i 1.76345 + 0.303927i
\(99\) −5.86257 + 1.28750i −0.589210 + 0.129398i
\(100\) −4.47626 8.94221i −0.447626 0.894221i
\(101\) 12.4702i 1.24084i 0.784272 + 0.620418i \(0.213037\pi\)
−0.784272 + 0.620418i \(0.786963\pi\)
\(102\) 0.592956 9.46266i 0.0587114 0.936943i
\(103\) −6.28665 2.04266i −0.619442 0.201269i −0.0175495 0.999846i \(-0.505586\pi\)
−0.601893 + 0.798577i \(0.705586\pi\)
\(104\) 4.94045 + 10.7592i 0.484451 + 1.05503i
\(105\) 9.50370 14.2328i 0.927466 1.38898i
\(106\) 2.82900 + 1.49022i 0.274777 + 0.144743i
\(107\) −1.14576 −0.110765 −0.0553826 0.998465i \(-0.517638\pi\)
−0.0553826 + 0.998465i \(0.517638\pi\)
\(108\) 8.51060 5.96403i 0.818933 0.573889i
\(109\) 9.55739 + 6.94385i 0.915432 + 0.665100i 0.942383 0.334536i \(-0.108580\pi\)
−0.0269507 + 0.999637i \(0.508580\pi\)
\(110\) −0.473919 6.30918i −0.0451864 0.601557i
\(111\) −9.99109 + 9.05719i −0.948313 + 0.859670i
\(112\) −11.1510 + 13.7140i −1.05367 + 1.29585i
\(113\) 0.405139 0.557627i 0.0381123 0.0524571i −0.789536 0.613705i \(-0.789679\pi\)
0.827648 + 0.561248i \(0.189679\pi\)
\(114\) 0.231671 3.69710i 0.0216980 0.346266i
\(115\) −2.84505 11.3480i −0.265302 1.05820i
\(116\) −0.436188 0.335395i −0.0404990 0.0311406i
\(117\) 6.35191 + 10.8325i 0.587235 + 1.00147i
\(118\) −9.66711 9.93354i −0.889930 0.914456i
\(119\) 5.28541 + 16.2668i 0.484513 + 1.49118i
\(120\) 4.96152 + 9.76644i 0.452923 + 0.891550i
\(121\) −2.16218 + 6.65451i −0.196562 + 0.604955i
\(122\) −18.7569 + 9.23816i −1.69817 + 0.836383i
\(123\) −2.77428 3.06035i −0.250149 0.275942i
\(124\) −15.2932 0.415828i −1.37337 0.0373425i
\(125\) 10.1959 4.58726i 0.911952 0.410297i
\(126\) −10.3181 + 15.6527i −0.919210 + 1.39445i
\(127\) 1.12441 + 1.54762i 0.0997754 + 0.137329i 0.855986 0.517000i \(-0.172951\pi\)
−0.756210 + 0.654329i \(0.772951\pi\)
\(128\) −4.15544 10.5229i −0.367292 0.930106i
\(129\) −14.2168 2.97183i −1.25172 0.261655i
\(130\) −12.2471 + 5.02186i −1.07415 + 0.440446i
\(131\) 1.98783 + 6.11790i 0.173677 + 0.534523i 0.999571 0.0293031i \(-0.00932879\pi\)
−0.825893 + 0.563826i \(0.809329\pi\)
\(132\) 0.560140 + 6.90816i 0.0487539 + 0.601278i
\(133\) 2.06504 + 6.35553i 0.179061 + 0.551094i
\(134\) −5.27917 + 0.762738i −0.456051 + 0.0658905i
\(135\) 6.26916 + 9.78252i 0.539563 + 0.841945i
\(136\) −10.7344 2.15201i −0.920465 0.184533i
\(137\) −7.58859 + 10.4448i −0.648337 + 0.892360i −0.999026 0.0441326i \(-0.985948\pi\)
0.350689 + 0.936492i \(0.385948\pi\)
\(138\) 3.19028 + 12.4124i 0.271574 + 1.05661i
\(139\) 3.29992 + 4.54195i 0.279895 + 0.385243i 0.925699 0.378260i \(-0.123478\pi\)
−0.645804 + 0.763503i \(0.723478\pi\)
\(140\) −14.8045 13.0901i −1.25121 1.10631i
\(141\) −1.64135 0.940268i −0.138226 0.0791849i
\(142\) 5.29688 10.0555i 0.444504 0.843835i
\(143\) −8.37483 −0.700338
\(144\) −5.49844 10.6662i −0.458204 0.888847i
\(145\) 0.394812 0.471763i 0.0327873 0.0391778i
\(146\) 4.98553 2.45548i 0.412606 0.203217i
\(147\) 4.43927 21.2369i 0.366145 1.75159i
\(148\) 8.80693 + 12.8418i 0.723925 + 1.05559i
\(149\) 22.3461i 1.83066i 0.402700 + 0.915332i \(0.368072\pi\)
−0.402700 + 0.915332i \(0.631928\pi\)
\(150\) −11.1391 + 5.09126i −0.909502 + 0.415700i
\(151\) 1.39948i 0.113888i 0.998377 + 0.0569441i \(0.0181357\pi\)
−0.998377 + 0.0569441i \(0.981864\pi\)
\(152\) −4.19397 0.840799i −0.340176 0.0681978i
\(153\) −11.5564 1.13591i −0.934278 0.0918329i
\(154\) −5.52435 11.2165i −0.445165 0.903848i
\(155\) 1.17097 17.0645i 0.0940547 1.37066i
\(156\) 13.3832 5.58065i 1.07151 0.446810i
\(157\) 4.92546 0.393095 0.196547 0.980494i \(-0.437027\pi\)
0.196547 + 0.980494i \(0.437027\pi\)
\(158\) 4.56677 + 2.40562i 0.363313 + 0.191381i
\(159\) 1.94662 3.39805i 0.154377 0.269483i
\(160\) 11.9469 4.15585i 0.944487 0.328549i
\(161\) −13.5893 18.7041i −1.07099 1.47409i
\(162\) −6.93096 10.6753i −0.544548 0.838730i
\(163\) −0.892518 + 1.22845i −0.0699074 + 0.0962193i −0.842539 0.538635i \(-0.818940\pi\)
0.772632 + 0.634855i \(0.218940\pi\)
\(164\) −3.93353 + 2.69763i −0.307157 + 0.210649i
\(165\) −7.74284 + 0.306604i −0.602779 + 0.0238691i
\(166\) 2.02126 + 13.9898i 0.156880 + 1.08582i
\(167\) −0.140735 0.433137i −0.0108904 0.0335172i 0.945464 0.325728i \(-0.105609\pi\)
−0.956354 + 0.292210i \(0.905609\pi\)
\(168\) 16.3023 + 14.2430i 1.25775 + 1.09887i
\(169\) 1.39711 + 4.29987i 0.107470 + 0.330759i
\(170\) 2.89983 11.8917i 0.222407 0.912055i
\(171\) −4.51513 0.443805i −0.345281 0.0339386i
\(172\) −5.61414 + 15.8034i −0.428074 + 1.20500i
\(173\) −7.40646 10.1941i −0.563103 0.775044i 0.428614 0.903488i \(-0.359002\pi\)
−0.991717 + 0.128443i \(0.959002\pi\)
\(174\) −0.429422 + 0.519347i −0.0325544 + 0.0393716i
\(175\) 15.3065 15.9331i 1.15706 1.20443i
\(176\) 7.99121 + 0.434890i 0.602360 + 0.0327811i
\(177\) −12.5774 + 11.4018i −0.945378 + 0.857010i
\(178\) −1.44841 2.94081i −0.108563 0.220423i
\(179\) 4.99154 15.3624i 0.373085 1.14824i −0.571676 0.820480i \(-0.693707\pi\)
0.944761 0.327759i \(-0.106293\pi\)
\(180\) 12.1690 5.64948i 0.907020 0.421087i
\(181\) −4.84939 14.9249i −0.360452 1.10936i −0.952780 0.303661i \(-0.901791\pi\)
0.592328 0.805697i \(-0.298209\pi\)
\(182\) −18.7462 + 18.2434i −1.38956 + 1.35229i
\(183\) 10.4943 + 23.3584i 0.775762 + 1.72670i
\(184\) 14.6984 1.71724i 1.08358 0.126597i
\(185\) −14.7521 + 9.24483i −1.08460 + 0.679693i
\(186\) −1.17183 + 18.7005i −0.0859225 + 1.37119i
\(187\) 4.55200 6.26528i 0.332875 0.458163i
\(188\) −1.33141 + 1.73152i −0.0971030 + 0.126284i
\(189\) 18.7113 + 13.3076i 1.36105 + 0.967984i
\(190\) 1.13298 4.64616i 0.0821948 0.337068i
\(191\) 10.5865 + 7.69152i 0.766010 + 0.556539i 0.900748 0.434342i \(-0.143019\pi\)
−0.134737 + 0.990881i \(0.543019\pi\)
\(192\) −13.0600 + 4.63006i −0.942521 + 0.334146i
\(193\) 22.4138 1.61338 0.806690 0.590975i \(-0.201257\pi\)
0.806690 + 0.590975i \(0.201257\pi\)
\(194\) −1.13039 + 2.14590i −0.0811573 + 0.154067i
\(195\) 5.61581 + 15.2079i 0.402156 + 1.08906i
\(196\) −23.6069 8.38631i −1.68621 0.599022i
\(197\) 6.92170 + 2.24900i 0.493151 + 0.160234i 0.545026 0.838419i \(-0.316520\pi\)
−0.0518751 + 0.998654i \(0.516520\pi\)
\(198\) 8.47971 0.386175i 0.602627 0.0274443i
\(199\) 11.4436i 0.811217i −0.914047 0.405609i \(-0.867060\pi\)
0.914047 0.405609i \(-0.132940\pi\)
\(200\) 4.09054 + 13.5376i 0.289245 + 0.957255i
\(201\) 0.704757 + 6.49464i 0.0497097 + 0.458097i
\(202\) 2.99530 17.3794i 0.210749 1.22281i
\(203\) 0.375666 1.15618i 0.0263666 0.0811480i
\(204\) −3.09927 + 13.0454i −0.216993 + 0.913358i
\(205\) −2.83176 4.51868i −0.197779 0.315598i
\(206\) 8.27086 + 4.35681i 0.576258 + 0.303553i
\(207\) 15.3307 3.36683i 1.06556 0.234011i
\(208\) −4.30101 16.1815i −0.298222 1.12198i
\(209\) 1.77849 2.44788i 0.123020 0.169323i
\(210\) −16.6636 + 17.5530i −1.14990 + 1.21127i
\(211\) −4.85837 6.68698i −0.334464 0.460351i 0.608350 0.793669i \(-0.291832\pi\)
−0.942814 + 0.333318i \(0.891832\pi\)
\(212\) −3.58474 2.75639i −0.246201 0.189310i
\(213\) −12.0781 6.91910i −0.827575 0.474089i
\(214\) 1.59681 + 0.275208i 0.109156 + 0.0188128i
\(215\) −17.3943 7.00147i −1.18628 0.477496i
\(216\) −13.2935 + 6.26766i −0.904506 + 0.426460i
\(217\) −10.4453 32.1472i −0.709071 2.18230i
\(218\) −11.6519 11.9731i −0.789168 0.810918i
\(219\) −2.78937 6.20861i −0.188488 0.419539i
\(220\) −0.854954 + 8.90672i −0.0576410 + 0.600491i
\(221\) −15.4091 5.00671i −1.03653 0.336788i
\(222\) 16.0998 10.2229i 1.08054 0.686115i
\(223\) 5.09072 + 7.00678i 0.340900 + 0.469209i 0.944704 0.327924i \(-0.106349\pi\)
−0.603804 + 0.797133i \(0.706349\pi\)
\(224\) 18.8348 16.4343i 1.25845 1.09806i
\(225\) 5.74878 + 13.8547i 0.383252 + 0.923644i
\(226\) −0.698569 + 0.679833i −0.0464681 + 0.0452218i
\(227\) 2.58355 1.87706i 0.171476 0.124585i −0.498737 0.866753i \(-0.666203\pi\)
0.670213 + 0.742169i \(0.266203\pi\)
\(228\) −1.21090 + 5.09688i −0.0801939 + 0.337549i
\(229\) −2.39621 + 7.37478i −0.158346 + 0.487339i −0.998485 0.0550328i \(-0.982474\pi\)
0.840138 + 0.542372i \(0.182474\pi\)
\(230\) 1.23931 + 16.4987i 0.0817176 + 1.08789i
\(231\) −13.9681 + 6.27552i −0.919037 + 0.412899i
\(232\) 0.527340 + 0.572199i 0.0346215 + 0.0375667i
\(233\) 22.1664 7.20232i 1.45217 0.471839i 0.526503 0.850173i \(-0.323503\pi\)
0.925669 + 0.378334i \(0.123503\pi\)
\(234\) −6.25052 16.6226i −0.408609 1.08666i
\(235\) −1.87275 1.56728i −0.122164 0.102238i
\(236\) 11.0867 + 16.1660i 0.721685 + 1.05232i
\(237\) 3.14237 5.48536i 0.204119 0.356312i
\(238\) −3.45888 23.9401i −0.224206 1.55180i
\(239\) −17.8688 + 12.9824i −1.15584 + 0.839764i −0.989246 0.146262i \(-0.953276\pi\)
−0.166591 + 0.986026i \(0.553276\pi\)
\(240\) −4.56885 14.8029i −0.294918 0.955523i
\(241\) −4.36957 3.17468i −0.281469 0.204499i 0.438089 0.898932i \(-0.355656\pi\)
−0.719558 + 0.694432i \(0.755656\pi\)
\(242\) 4.61174 8.75482i 0.296454 0.562781i
\(243\) −13.3667 + 8.02064i −0.857476 + 0.514524i
\(244\) 28.3598 8.36959i 1.81555 0.535808i
\(245\) 10.4587 25.9834i 0.668181 1.66002i
\(246\) 3.13134 + 4.93147i 0.199647 + 0.314419i
\(247\) −6.02039 1.95614i −0.383068 0.124466i
\(248\) 21.2138 + 4.25289i 1.34707 + 0.270059i
\(249\) 17.2108 1.86761i 1.09069 0.118355i
\(250\) −15.3116 + 3.94409i −0.968389 + 0.249446i
\(251\) 2.72571 0.172045 0.0860225 0.996293i \(-0.472584\pi\)
0.0860225 + 0.996293i \(0.472584\pi\)
\(252\) 18.1397 19.3363i 1.14269 1.21807i
\(253\) −3.23480 + 9.95569i −0.203370 + 0.625909i
\(254\) −1.19532 2.42695i −0.0750012 0.152280i
\(255\) −14.4295 4.06476i −0.903612 0.254545i
\(256\) 3.26372 + 15.6636i 0.203983 + 0.978974i
\(257\) 12.5443i 0.782495i −0.920285 0.391247i \(-0.872044\pi\)
0.920285 0.391247i \(-0.127956\pi\)
\(258\) 19.0997 + 7.55656i 1.18909 + 0.470451i
\(259\) −20.2222 + 27.8335i −1.25655 + 1.72949i
\(260\) 18.2747 4.05708i 1.13335 0.251609i
\(261\) 0.617056 + 0.548113i 0.0381948 + 0.0339273i
\(262\) −1.30087 9.00377i −0.0803681 0.556255i
\(263\) 3.83546 + 2.78663i 0.236505 + 0.171831i 0.699725 0.714413i \(-0.253306\pi\)
−0.463220 + 0.886243i \(0.653306\pi\)
\(264\) 0.878663 9.76221i 0.0540779 0.600823i
\(265\) 3.24470 3.87711i 0.199320 0.238169i
\(266\) −1.35140 9.35350i −0.0828596 0.573500i
\(267\) −3.66226 + 1.64536i −0.224127 + 0.100694i
\(268\) 7.54061 + 0.205032i 0.460616 + 0.0125243i
\(269\) −10.0185 + 3.25520i −0.610838 + 0.198473i −0.598068 0.801445i \(-0.704065\pi\)
−0.0127695 + 0.999918i \(0.504065\pi\)
\(270\) −6.38739 15.1394i −0.388724 0.921354i
\(271\) 25.9762 + 8.44018i 1.57794 + 0.512704i 0.961525 0.274716i \(-0.0885840\pi\)
0.616416 + 0.787421i \(0.288584\pi\)
\(272\) 14.4432 + 5.57753i 0.875750 + 0.338188i
\(273\) 21.5170 + 23.7356i 1.30227 + 1.43655i
\(274\) 13.0848 12.7338i 0.790479 0.769278i
\(275\) −9.91002 1.36649i −0.597597 0.0824025i
\(276\) −1.46478 18.0650i −0.0881694 1.08739i
\(277\) −12.9594 + 9.41552i −0.778652 + 0.565724i −0.904574 0.426316i \(-0.859811\pi\)
0.125922 + 0.992040i \(0.459811\pi\)
\(278\) −3.50803 7.12259i −0.210398 0.427184i
\(279\) 22.8382 + 2.24484i 1.36729 + 0.134395i
\(280\) 17.4883 + 21.7992i 1.04513 + 1.30275i
\(281\) 28.6844 9.32012i 1.71117 0.555991i 0.720639 0.693310i \(-0.243849\pi\)
0.990527 + 0.137319i \(0.0438485\pi\)
\(282\) 2.06164 + 1.70466i 0.122769 + 0.101511i
\(283\) −17.3580 + 5.63997i −1.03183 + 0.335261i −0.775513 0.631332i \(-0.782509\pi\)
−0.256315 + 0.966593i \(0.582509\pi\)
\(284\) −9.79736 + 12.7417i −0.581366 + 0.756078i
\(285\) −5.63769 1.58812i −0.333948 0.0940721i
\(286\) 11.6717 + 2.01160i 0.690163 + 0.118948i
\(287\) −8.52560 6.19421i −0.503250 0.365633i
\(288\) 5.10102 + 16.1858i 0.300581 + 0.953756i
\(289\) −1.63240 + 1.18601i −0.0960234 + 0.0697651i
\(290\) −0.663552 + 0.562648i −0.0389651 + 0.0330398i
\(291\) 2.57754 + 1.47658i 0.151098 + 0.0865588i
\(292\) −7.53797 + 2.22462i −0.441126 + 0.130186i
\(293\) 13.9900i 0.817307i −0.912690 0.408654i \(-0.865998\pi\)
0.912690 0.408654i \(-0.134002\pi\)
\(294\) −11.2879 + 28.5308i −0.658322 + 1.66395i
\(295\) −18.5709 + 11.6380i −1.08124 + 0.677590i
\(296\) −9.18939 20.0125i −0.534122 1.16320i
\(297\) −0.105129 10.3957i −0.00610022 0.603221i
\(298\) 5.36744 31.1430i 0.310928 1.80407i
\(299\) 21.9004 1.26653
\(300\) 16.7471 4.41996i 0.966892 0.255186i
\(301\) −37.0542 −2.13577
\(302\) 0.336150 1.95041i 0.0193433 0.112234i
\(303\) −21.1421 4.41946i −1.21458 0.253891i
\(304\) 5.64304 + 2.17917i 0.323651 + 0.124984i
\(305\) 8.03944 + 32.0667i 0.460337 + 1.83614i
\(306\) 15.8329 + 4.35887i 0.905106 + 0.249180i
\(307\) 1.60974i 0.0918725i 0.998944 + 0.0459363i \(0.0146271\pi\)
−0.998944 + 0.0459363i \(0.985373\pi\)
\(308\) 5.00495 + 16.9589i 0.285184 + 0.966325i
\(309\) 5.69113 9.93450i 0.323757 0.565154i
\(310\) −5.73077 + 23.5010i −0.325486 + 1.33477i
\(311\) 16.2398 11.7989i 0.920876 0.669056i −0.0228657 0.999739i \(-0.507279\pi\)
0.943742 + 0.330683i \(0.107279\pi\)
\(312\) −19.9922 + 4.56298i −1.13183 + 0.258328i
\(313\) 1.20979 + 0.878967i 0.0683816 + 0.0496821i 0.621451 0.783453i \(-0.286544\pi\)
−0.553069 + 0.833135i \(0.686544\pi\)
\(314\) −6.86445 1.18308i −0.387383 0.0667648i
\(315\) 20.7622 + 21.1567i 1.16982 + 1.19205i
\(316\) −5.78673 4.44955i −0.325529 0.250307i
\(317\) 14.5778 4.73660i 0.818769 0.266034i 0.130462 0.991453i \(-0.458354\pi\)
0.688307 + 0.725419i \(0.258354\pi\)
\(318\) −3.52914 + 4.26817i −0.197904 + 0.239347i
\(319\) −0.523495 + 0.170094i −0.0293101 + 0.00952343i
\(320\) −17.6482 + 2.92227i −0.986567 + 0.163360i
\(321\) 0.406060 1.94253i 0.0226640 0.108422i
\(322\) 14.4463 + 29.3313i 0.805061 + 1.63457i
\(323\) 4.73569 3.44068i 0.263501 0.191445i
\(324\) 7.09529 + 16.5426i 0.394183 + 0.919032i
\(325\) 3.68790 + 20.6017i 0.204568 + 1.14277i
\(326\) 1.53894 1.49766i 0.0852340 0.0829480i
\(327\) −15.1598 + 13.7427i −0.838338 + 0.759976i
\(328\) 6.12998 2.81478i 0.338472 0.155420i
\(329\) −4.58967 1.49127i −0.253036 0.0822165i
\(330\) 10.8646 + 1.43249i 0.598075 + 0.0788562i
\(331\) 14.2822 4.64055i 0.785018 0.255068i 0.111037 0.993816i \(-0.464583\pi\)
0.673981 + 0.738748i \(0.264583\pi\)
\(332\) 0.543336 19.9827i 0.0298194 1.09669i
\(333\) −11.8148 20.1488i −0.647445 1.10415i
\(334\) 0.0920996 + 0.637452i 0.00503946 + 0.0348798i
\(335\) −0.577370 + 8.41398i −0.0315451 + 0.459705i
\(336\) −19.2988 23.7657i −1.05284 1.29653i
\(337\) 5.03066 + 3.65499i 0.274038 + 0.199100i 0.716313 0.697779i \(-0.245828\pi\)
−0.442275 + 0.896880i \(0.645828\pi\)
\(338\) −0.914298 6.32817i −0.0497313 0.344207i
\(339\) 0.801821 + 0.884499i 0.0435490 + 0.0480394i
\(340\) −6.89774 + 15.8766i −0.374082 + 0.861029i
\(341\) −8.99586 + 12.3817i −0.487153 + 0.670509i
\(342\) 6.18599 + 1.70303i 0.334500 + 0.0920895i
\(343\) 24.4191i 1.31850i
\(344\) 11.6202 20.6762i 0.626517 1.11479i
\(345\) 20.2477 0.801776i 1.09010 0.0431662i
\(346\) 7.87355 + 15.9862i 0.423285 + 0.859423i
\(347\) −3.28795 + 10.1193i −0.176507 + 0.543232i −0.999699 0.0245309i \(-0.992191\pi\)
0.823192 + 0.567762i \(0.192191\pi\)
\(348\) 0.723215 0.620651i 0.0387684 0.0332704i
\(349\) 10.2789 0.550219 0.275110 0.961413i \(-0.411286\pi\)
0.275110 + 0.961413i \(0.411286\pi\)
\(350\) −25.1593 + 18.5288i −1.34482 + 0.990408i
\(351\) −20.6166 + 6.93002i −1.10044 + 0.369897i
\(352\) −11.0326 2.52555i −0.588041 0.134612i
\(353\) −19.9796 6.49175i −1.06340 0.345521i −0.275489 0.961304i \(-0.588840\pi\)
−0.787916 + 0.615783i \(0.788840\pi\)
\(354\) 20.2674 12.8692i 1.07720 0.683991i
\(355\) −13.7809 11.5330i −0.731412 0.612109i
\(356\) 1.31223 + 4.44641i 0.0695482 + 0.235659i
\(357\) −29.4520 + 3.19594i −1.55877 + 0.169147i
\(358\) −10.6465 + 20.2111i −0.562686 + 1.06819i
\(359\) 21.8898 + 15.9039i 1.15530 + 0.839375i 0.989177 0.146730i \(-0.0468749\pi\)
0.166124 + 0.986105i \(0.446875\pi\)
\(360\) −18.3164 + 4.95056i −0.965361 + 0.260917i
\(361\) −13.5211 + 9.82363i −0.711635 + 0.517033i
\(362\) 3.17354 + 21.9651i 0.166797 + 1.15446i
\(363\) −10.5158 6.02414i −0.551937 0.316185i
\(364\) 30.5079 20.9224i 1.59905 1.09663i
\(365\) −2.13687 8.52327i −0.111849 0.446128i
\(366\) −9.01498 35.0745i −0.471221 1.83337i
\(367\) −23.9133 + 7.76990i −1.24826 + 0.405585i −0.857298 0.514820i \(-0.827859\pi\)
−0.390965 + 0.920405i \(0.627859\pi\)
\(368\) −20.8972 1.13725i −1.08934 0.0592831i
\(369\) 6.17174 3.61895i 0.321288 0.188395i
\(370\) 22.7801 9.34081i 1.18428 0.485606i
\(371\) 3.08735 9.50190i 0.160287 0.493314i
\(372\) 6.12492 25.7808i 0.317562 1.33667i
\(373\) 26.6273 19.3458i 1.37871 1.00169i 0.381708 0.924283i \(-0.375336\pi\)
0.997000 0.0774069i \(-0.0246641\pi\)
\(374\) −7.84886 + 7.63835i −0.405855 + 0.394969i
\(375\) 4.16382 + 18.9120i 0.215019 + 0.976610i
\(376\) 2.27144 2.09337i 0.117141 0.107957i
\(377\) 0.676880 + 0.931645i 0.0348611 + 0.0479822i
\(378\) −22.8809 23.0407i −1.17687 1.18509i
\(379\) −29.2235 9.49529i −1.50111 0.487740i −0.560769 0.827973i \(-0.689494\pi\)
−0.940341 + 0.340232i \(0.889494\pi\)
\(380\) −2.69498 + 6.20306i −0.138250 + 0.318210i
\(381\) −3.02234 + 1.35786i −0.154839 + 0.0695651i
\(382\) −12.9065 13.2622i −0.660356 0.678556i
\(383\) −9.63887 29.6654i −0.492523 1.51583i −0.820781 0.571243i \(-0.806461\pi\)
0.328258 0.944588i \(-0.393539\pi\)
\(384\) 19.3133 3.31581i 0.985580 0.169209i
\(385\) −19.1757 + 4.80753i −0.977283 + 0.245014i
\(386\) −31.2373 5.38370i −1.58994 0.274023i
\(387\) 10.0769 23.0501i 0.512238 1.17170i
\(388\) 2.09082 2.71916i 0.106146 0.138044i
\(389\) −15.1822 20.8964i −0.769766 1.05949i −0.996338 0.0854974i \(-0.972752\pi\)
0.226573 0.973994i \(-0.427248\pi\)
\(390\) −4.17369 22.5436i −0.211343 1.14154i
\(391\) −11.9036 + 16.3839i −0.601990 + 0.828568i
\(392\) 30.8858 + 17.3580i 1.55997 + 0.876711i
\(393\) −11.0768 + 1.20198i −0.558751 + 0.0606320i
\(394\) −9.10635 4.79692i −0.458771 0.241665i
\(395\) 5.23782 6.25870i 0.263543 0.314909i
\(396\) −11.9106 1.49859i −0.598532 0.0753071i
\(397\) 10.8922 33.5228i 0.546665 1.68246i −0.170334 0.985386i \(-0.554485\pi\)
0.716999 0.697074i \(-0.245515\pi\)
\(398\) −2.74871 + 15.9486i −0.137780 + 0.799431i
\(399\) −11.5070 + 1.24867i −0.576073 + 0.0625117i
\(400\) −2.44916 19.8495i −0.122458 0.992474i
\(401\) 19.6151i 0.979534i 0.871853 + 0.489767i \(0.162918\pi\)
−0.871853 + 0.489767i \(0.837082\pi\)
\(402\) 0.577791 9.22065i 0.0288176 0.459884i
\(403\) 30.4521 + 9.89448i 1.51693 + 0.492879i
\(404\) −8.34890 + 23.5016i −0.415373 + 1.16925i
\(405\) −18.8071 + 7.16183i −0.934534 + 0.355874i
\(406\) −0.801263 + 1.52110i −0.0397660 + 0.0754908i
\(407\) 15.5774 0.772145
\(408\) 7.45280 17.4364i 0.368968 0.863233i
\(409\) 5.17758 + 3.76173i 0.256015 + 0.186006i 0.708388 0.705823i \(-0.249423\pi\)
−0.452373 + 0.891829i \(0.649423\pi\)
\(410\) 2.86116 + 6.97770i 0.141303 + 0.344604i
\(411\) −15.0188 16.5674i −0.740821 0.817209i
\(412\) −10.4803 8.05856i −0.516329 0.397017i
\(413\) −25.4570 + 35.0386i −1.25266 + 1.72413i
\(414\) −22.1746 + 1.00986i −1.08982 + 0.0496318i
\(415\) 22.2971 + 1.53003i 1.09452 + 0.0751064i
\(416\) 2.10746 + 23.5846i 0.103326 + 1.15633i
\(417\) −8.86994 + 3.98503i −0.434363 + 0.195148i
\(418\) −3.06659 + 2.98434i −0.149992 + 0.145969i
\(419\) −8.04985 24.7749i −0.393261 1.21033i −0.930308 0.366781i \(-0.880460\pi\)
0.537046 0.843553i \(-0.319540\pi\)
\(420\) 27.4397 20.4605i 1.33892 0.998368i
\(421\) −3.21384 + 9.89119i −0.156633 + 0.482067i −0.998323 0.0578946i \(-0.981561\pi\)
0.841690 + 0.539962i \(0.181561\pi\)
\(422\) 5.16477 + 10.4864i 0.251417 + 0.510469i
\(423\) 2.17583 2.44951i 0.105792 0.119099i
\(424\) 4.33386 + 4.70253i 0.210471 + 0.228375i
\(425\) −17.4168 8.43873i −0.844838 0.409338i
\(426\) 15.1709 + 12.5440i 0.735030 + 0.607759i
\(427\) 38.4002 + 52.8533i 1.85832 + 2.55775i
\(428\) −2.15932 0.767096i −0.104375 0.0370790i
\(429\) 2.96805 14.1987i 0.143299 0.685521i
\(430\) 22.5602 + 13.9358i 1.08795 + 0.672042i
\(431\) −1.55898 4.79804i −0.0750933 0.231113i 0.906463 0.422284i \(-0.138772\pi\)
−0.981557 + 0.191171i \(0.938772\pi\)
\(432\) 20.0321 5.54199i 0.963796 0.266639i
\(433\) −1.28103 3.94262i −0.0615626 0.189470i 0.915545 0.402215i \(-0.131760\pi\)
−0.977108 + 0.212745i \(0.931760\pi\)
\(434\) 6.83559 + 47.3114i 0.328119 + 2.27102i
\(435\) 0.659908 + 0.836559i 0.0316402 + 0.0401100i
\(436\) 13.3630 + 19.4852i 0.639973 + 0.933172i
\(437\) −4.65078 + 6.40125i −0.222477 + 0.306214i
\(438\) 2.39616 + 9.32272i 0.114493 + 0.445457i
\(439\) 0.503791 + 0.693408i 0.0240446 + 0.0330946i 0.820870 0.571115i \(-0.193489\pi\)
−0.796825 + 0.604210i \(0.793489\pi\)
\(440\) 3.33088 12.2076i 0.158793 0.581977i
\(441\) 34.4318 + 15.0527i 1.63961 + 0.716796i
\(442\) 20.2725 + 10.6789i 0.964264 + 0.507942i
\(443\) 19.5909 0.930794 0.465397 0.885102i \(-0.345912\pi\)
0.465397 + 0.885102i \(0.345912\pi\)
\(444\) −24.8932 + 10.3802i −1.18138 + 0.492622i
\(445\) −5.02761 + 1.26047i −0.238332 + 0.0597520i
\(446\) −5.41177 10.9879i −0.256255 0.520291i
\(447\) −37.8857 7.91948i −1.79193 0.374578i
\(448\) −30.1969 + 18.3798i −1.42667 + 0.868366i
\(449\) 24.8419i 1.17236i −0.810180 0.586181i \(-0.800631\pi\)
0.810180 0.586181i \(-0.199369\pi\)
\(450\) −4.68405 20.6896i −0.220808 0.975317i
\(451\) 4.77149i 0.224681i
\(452\) 1.13686 0.779666i 0.0534736 0.0366724i
\(453\) −2.37269 0.495978i −0.111479 0.0233031i
\(454\) −4.05147 + 1.99543i −0.190145 + 0.0936504i
\(455\) 21.9627 + 35.0462i 1.02963 + 1.64299i
\(456\) 2.91184 6.81250i 0.136360 0.319025i
\(457\) 24.8881 1.16422 0.582108 0.813112i \(-0.302228\pi\)
0.582108 + 0.813112i \(0.302228\pi\)
\(458\) 5.11091 9.70242i 0.238817 0.453365i
\(459\) 6.02142 19.1902i 0.281056 0.895721i
\(460\) 2.23573 23.2913i 0.104241 1.08596i
\(461\) −9.31497 12.8210i −0.433841 0.597131i 0.534988 0.844859i \(-0.320316\pi\)
−0.968830 + 0.247728i \(0.920316\pi\)
\(462\) 20.9743 5.39089i 0.975812 0.250807i
\(463\) −14.3269 + 19.7192i −0.665826 + 0.916431i −0.999657 0.0262021i \(-0.991659\pi\)
0.333831 + 0.942633i \(0.391659\pi\)
\(464\) −0.597496 0.924119i −0.0277380 0.0429012i
\(465\) 28.5163 + 8.03295i 1.32241 + 0.372519i
\(466\) −32.6226 + 4.71334i −1.51121 + 0.218341i
\(467\) 3.98955 + 12.2786i 0.184615 + 0.568185i 0.999942 0.0108156i \(-0.00344278\pi\)
−0.815327 + 0.579001i \(0.803443\pi\)
\(468\) 4.71846 + 24.6677i 0.218111 + 1.14027i
\(469\) 5.15024 + 15.8508i 0.237816 + 0.731922i
\(470\) 2.23353 + 2.63408i 0.103025 + 0.121501i
\(471\) −1.74559 + 8.35065i −0.0804324 + 0.384778i
\(472\) −11.5682 25.1930i −0.532469 1.15960i
\(473\) 9.86149 + 13.5732i 0.453432 + 0.624095i
\(474\) −5.69697 + 6.88997i −0.261671 + 0.316467i
\(475\) −6.80482 3.29705i −0.312226 0.151279i
\(476\) −0.929783 + 34.1953i −0.0426165 + 1.56734i
\(477\) 5.07118 + 4.50458i 0.232193 + 0.206251i
\(478\) 28.0215 13.8012i 1.28167 0.631251i
\(479\) 4.71248 14.5035i 0.215319 0.662682i −0.783812 0.620998i \(-0.786728\pi\)
0.999131 0.0416845i \(-0.0132724\pi\)
\(480\) 2.81186 + 21.7277i 0.128343 + 0.991730i
\(481\) −10.0708 30.9948i −0.459190 1.41324i
\(482\) 5.32718 + 5.47400i 0.242647 + 0.249334i
\(483\) 36.5270 16.4106i 1.66204 0.746710i
\(484\) −8.53010 + 11.0936i −0.387732 + 0.504253i
\(485\) 2.94093 + 2.46123i 0.133541 + 0.111758i
\(486\) 20.5553 7.96746i 0.932406 0.361412i
\(487\) 23.6803 32.5932i 1.07306 1.47694i 0.206116 0.978528i \(-0.433918\pi\)
0.866942 0.498410i \(-0.166082\pi\)
\(488\) −41.5344 + 4.85252i −1.88017 + 0.219663i
\(489\) −1.76641 1.94854i −0.0798796 0.0881162i
\(490\) −20.8170 + 33.7000i −0.940416 + 1.52241i
\(491\) −29.0441 21.1018i −1.31074 0.952311i −0.999998 0.00181821i \(-0.999421\pi\)
−0.310746 0.950493i \(-0.600579\pi\)
\(492\) −3.17953 7.62496i −0.143344 0.343760i
\(493\) −1.06488 −0.0479597
\(494\) 7.92056 + 4.17229i 0.356363 + 0.187720i
\(495\) 2.22425 13.2359i 0.0999726 0.594910i
\(496\) −28.5434 11.0226i −1.28164 0.494928i
\(497\) −33.7737 10.9737i −1.51496 0.492239i
\(498\) −24.4348 1.53115i −1.09495 0.0686125i
\(499\) 9.94108i 0.445024i −0.974930 0.222512i \(-0.928574\pi\)
0.974930 0.222512i \(-0.0714256\pi\)
\(500\) 22.2866 1.81897i 0.996686 0.0813470i
\(501\) 0.784219 0.0850984i 0.0350363 0.00380192i
\(502\) −3.79873 0.654703i −0.169545 0.0292208i
\(503\) 0.0880662 0.271040i 0.00392668 0.0120851i −0.949074 0.315053i \(-0.897978\pi\)
0.953001 + 0.302968i \(0.0979776\pi\)
\(504\) −29.9252 + 22.5912i −1.33297 + 1.00629i
\(505\) −25.8674 10.4120i −1.15109 0.463329i
\(506\) 6.89955 13.0979i 0.306722 0.582274i
\(507\) −7.78516 + 0.844795i −0.345751 + 0.0375187i
\(508\) 1.08294 + 3.66946i 0.0480477 + 0.162806i
\(509\) 5.71140 7.86107i 0.253153 0.348436i −0.663459 0.748213i \(-0.730912\pi\)
0.916613 + 0.399777i \(0.130912\pi\)
\(510\) 19.1336 + 9.13083i 0.847251 + 0.404320i
\(511\) −10.2067 14.0483i −0.451517 0.621460i
\(512\) −0.786212 22.6138i −0.0347460 0.999396i
\(513\) 2.35260 7.49770i 0.103870 0.331031i
\(514\) −3.01310 + 17.4826i −0.132902 + 0.771126i
\(515\) 9.48619 11.3351i 0.418011 0.499484i
\(516\) −24.8035 15.1190i −1.09191 0.665576i
\(517\) 0.675218 + 2.07811i 0.0296960 + 0.0913950i
\(518\) 34.8685 33.9333i 1.53203 1.49094i
\(519\) 19.9080 8.94415i 0.873865 0.392605i
\(520\) −26.4433 + 1.26472i −1.15961 + 0.0554616i
\(521\) −5.32659 1.73071i −0.233362 0.0758240i 0.190001 0.981784i \(-0.439151\pi\)
−0.423364 + 0.905960i \(0.639151\pi\)
\(522\) −0.728316 0.912101i −0.0318775 0.0399216i
\(523\) 11.7509 + 16.1737i 0.513832 + 0.707228i 0.984560 0.175050i \(-0.0560087\pi\)
−0.470728 + 0.882278i \(0.656009\pi\)
\(524\) −0.349688 + 12.8607i −0.0152762 + 0.561823i
\(525\) 21.5884 + 31.5975i 0.942195 + 1.37903i
\(526\) −4.67602 4.80489i −0.203884 0.209503i
\(527\) −23.9538 + 17.4035i −1.04345 + 0.758108i
\(528\) −3.56941 + 13.3942i −0.155338 + 0.582908i
\(529\) 1.35169 4.16007i 0.0587691 0.180873i
\(530\) −5.45330 + 4.62404i −0.236876 + 0.200855i
\(531\) −14.8732 25.3646i −0.645441 1.10073i
\(532\) −0.363271 + 13.3603i −0.0157498 + 0.579240i
\(533\) 9.49395 3.08477i 0.411228 0.133616i
\(534\) 5.49918 1.41342i 0.237973 0.0611647i
\(535\) 0.956655 2.37670i 0.0413598 0.102754i
\(536\) −10.4598 2.09697i −0.451796 0.0905752i
\(537\) 24.2765 + 13.9071i 1.04761 + 0.600137i
\(538\) 14.7443 2.13027i 0.635672 0.0918424i
\(539\) −20.2754 + 14.7309i −0.873323 + 0.634506i
\(540\) 5.26547 + 22.6335i 0.226590 + 0.973990i
\(541\) 35.3356 + 25.6728i 1.51920 + 1.10376i 0.961884 + 0.273458i \(0.0881674\pi\)
0.557312 + 0.830303i \(0.311833\pi\)
\(542\) −34.1749 18.0022i −1.46794 0.773259i
\(543\) 27.0224 2.93229i 1.15964 0.125837i
\(544\) −18.7894 11.2424i −0.805587 0.482015i
\(545\) −22.3838 + 14.0275i −0.958817 + 0.600870i
\(546\) −24.2863 38.2478i −1.03936 1.63686i
\(547\) 12.1846 + 3.95900i 0.520974 + 0.169275i 0.557687 0.830051i \(-0.311689\pi\)
−0.0367131 + 0.999326i \(0.511689\pi\)
\(548\) −21.2944 + 14.6038i −0.909652 + 0.623843i
\(549\) −43.3211 + 9.51388i −1.84890 + 0.406043i
\(550\) 13.4830 + 4.28478i 0.574919 + 0.182704i
\(551\) −0.416053 −0.0177245
\(552\) −2.29772 + 25.5284i −0.0977976 + 1.08656i
\(553\) 4.98382 15.3386i 0.211933 0.652264i
\(554\) 20.3226 10.0093i 0.863424 0.425255i
\(555\) −10.4456 28.2872i −0.443390 1.20072i
\(556\) 3.17821 + 10.7691i 0.134786 + 0.456713i
\(557\) 16.7482i 0.709645i −0.934934 0.354823i \(-0.884541\pi\)
0.934934 0.354823i \(-0.115459\pi\)
\(558\) −31.2897 8.61420i −1.32460 0.364668i
\(559\) 20.6314 28.3967i 0.872616 1.20105i
\(560\) −19.1368 34.5814i −0.808678 1.46133i
\(561\) 9.00897 + 9.93790i 0.380359 + 0.419578i
\(562\) −42.2151 + 6.09927i −1.78074 + 0.257282i
\(563\) 23.6346 + 17.1715i 0.996079 + 0.723693i 0.961244 0.275700i \(-0.0889095\pi\)
0.0348348 + 0.999393i \(0.488910\pi\)
\(564\) −2.46378 2.87093i −0.103744 0.120888i
\(565\) 0.818433 + 1.30598i 0.0344317 + 0.0549432i
\(566\) 25.5460 3.69091i 1.07378 0.155140i
\(567\) −29.1930 + 27.0071i −1.22599 + 1.13419i
\(568\) 16.7147 15.4043i 0.701335 0.646352i
\(569\) 29.2544 9.50533i 1.22641 0.398484i 0.376997 0.926215i \(-0.376957\pi\)
0.849412 + 0.527730i \(0.176957\pi\)
\(570\) 7.47559 + 3.56746i 0.313118 + 0.149424i
\(571\) 5.93233 + 1.92753i 0.248260 + 0.0806646i 0.430504 0.902589i \(-0.358336\pi\)
−0.182244 + 0.983253i \(0.558336\pi\)
\(572\) −15.7833 5.60700i −0.659933 0.234440i
\(573\) −16.7921 + 15.2225i −0.701500 + 0.635929i
\(574\) 10.3940 + 10.6805i 0.433838 + 0.445794i
\(575\) 25.9149 + 3.57341i 1.08073 + 0.149021i
\(576\) −3.22137 23.7828i −0.134224 0.990951i
\(577\) −16.9201 + 12.2932i −0.704393 + 0.511772i −0.881360 0.472445i \(-0.843372\pi\)
0.176967 + 0.984217i \(0.443372\pi\)
\(578\) 2.55989 1.26080i 0.106477 0.0524425i
\(579\) −7.94346 + 38.0005i −0.330119 + 1.57925i
\(580\) 1.05992 0.624761i 0.0440106 0.0259418i
\(581\) 42.0047 13.6482i 1.74265 0.566221i
\(582\) −3.23757 2.67698i −0.134201 0.110964i
\(583\) −4.30226 + 1.39789i −0.178182 + 0.0578947i
\(584\) 11.0398 1.28979i 0.456828 0.0533719i
\(585\) −27.7738 + 4.13138i −1.14830 + 0.170812i
\(586\) −3.36035 + 19.4975i −0.138815 + 0.805433i
\(587\) 21.7858 + 15.8283i 0.899194 + 0.653303i 0.938259 0.345934i \(-0.112438\pi\)
−0.0390646 + 0.999237i \(0.512438\pi\)
\(588\) 22.5845 37.0511i 0.931369 1.52796i
\(589\) −9.35888 + 6.79962i −0.385626 + 0.280174i
\(590\) 28.6770 11.7588i 1.18061 0.484103i
\(591\) −6.26602 + 10.9380i −0.257750 + 0.449931i
\(592\) 8.00002 + 30.0980i 0.328799 + 1.23702i
\(593\) 34.7563i 1.42727i 0.700518 + 0.713635i \(0.252952\pi\)
−0.700518 + 0.713635i \(0.747048\pi\)
\(594\) −2.35049 + 14.5134i −0.0964419 + 0.595492i
\(595\) −38.1559 2.61827i −1.56424 0.107338i
\(596\) −14.9608 + 42.1137i −0.612820 + 1.72505i
\(597\) 19.4016 + 4.05563i 0.794054 + 0.165986i
\(598\) −30.5218 5.26038i −1.24813 0.215113i
\(599\) −44.8754 −1.83356 −0.916779 0.399394i \(-0.869221\pi\)
−0.916779 + 0.399394i \(0.869221\pi\)
\(600\) −24.4015 + 2.13737i −0.996186 + 0.0872578i
\(601\) 3.02176 0.123260 0.0616301 0.998099i \(-0.480370\pi\)
0.0616301 + 0.998099i \(0.480370\pi\)
\(602\) 51.6411 + 8.90026i 2.10474 + 0.362747i
\(603\) −11.2608 1.10686i −0.458576 0.0450748i
\(604\) −0.936962 + 2.63748i −0.0381244 + 0.107318i
\(605\) −11.9984 10.0413i −0.487803 0.408235i
\(606\) 28.4035 + 11.2375i 1.15381 + 0.456492i
\(607\) 9.01661i 0.365973i 0.983115 + 0.182986i \(0.0585765\pi\)
−0.983115 + 0.182986i \(0.941424\pi\)
\(608\) −7.34109 4.39247i −0.297720 0.178138i
\(609\) 1.82706 + 1.04666i 0.0740362 + 0.0424127i
\(610\) −3.50200 46.6214i −0.141792 1.88764i
\(611\) 3.69833 2.68699i 0.149618 0.108704i
\(612\) −21.0188 9.87781i −0.849634 0.399287i
\(613\) 39.0734 + 28.3885i 1.57816 + 1.14660i 0.918765 + 0.394805i \(0.129188\pi\)
0.659396 + 0.751796i \(0.270812\pi\)
\(614\) 0.386652 2.24344i 0.0156040 0.0905377i
\(615\) 8.66457 3.19956i 0.349389 0.129019i
\(616\) −2.90177 24.8373i −0.116916 1.00072i
\(617\) −7.18684 + 2.33514i −0.289331 + 0.0940094i −0.450087 0.892985i \(-0.648607\pi\)
0.160756 + 0.986994i \(0.448607\pi\)
\(618\) −10.3178 + 12.4784i −0.415041 + 0.501955i
\(619\) 2.33837 0.759781i 0.0939868 0.0305382i −0.261646 0.965164i \(-0.584265\pi\)
0.355633 + 0.934626i \(0.384265\pi\)
\(620\) 13.6316 31.3760i 0.547459 1.26009i
\(621\) 0.274916 + 27.1850i 0.0110320 + 1.09090i
\(622\) −25.4670 + 12.5430i −1.02113 + 0.502930i
\(623\) −8.28666 + 6.02061i −0.331998 + 0.241211i
\(624\) 28.9584 1.55724i 1.15926 0.0623394i
\(625\) 1.00243 + 24.9799i 0.0400971 + 0.999196i
\(626\) −1.47493 1.51557i −0.0589499 0.0605745i
\(627\) 3.51985 + 3.88278i 0.140569 + 0.155063i
\(628\) 9.28258 + 3.29762i 0.370415 + 0.131590i
\(629\) 28.6613 + 9.31263i 1.14280 + 0.371319i
\(630\) −23.8538 34.4724i −0.950359 1.37341i
\(631\) −1.31266 + 0.426511i −0.0522564 + 0.0169791i −0.335029 0.942208i \(-0.608746\pi\)
0.282772 + 0.959187i \(0.408746\pi\)
\(632\) 6.99601 + 7.59114i 0.278286 + 0.301959i
\(633\) 13.0590 5.86704i 0.519047 0.233194i
\(634\) −21.4543 + 3.09973i −0.852057 + 0.123106i
\(635\) −4.14911 + 1.04022i −0.164652 + 0.0412799i
\(636\) 5.94363 5.10072i 0.235680 0.202257i
\(637\) 42.4185 + 30.8189i 1.68068 + 1.22109i
\(638\) 0.770433 0.111313i 0.0305017 0.00440691i
\(639\) 16.0112 18.0251i 0.633391 0.713061i
\(640\) 25.2977 + 0.166364i 0.999978 + 0.00657611i
\(641\) 12.2458 16.8549i 0.483680 0.665728i −0.495527 0.868593i \(-0.665025\pi\)
0.979207 + 0.202864i \(0.0650250\pi\)
\(642\) −1.03250 + 2.60971i −0.0407495 + 0.102997i
\(643\) 18.5482i 0.731469i −0.930719 0.365734i \(-0.880818\pi\)
0.930719 0.365734i \(-0.119182\pi\)
\(644\) −13.0881 44.3480i −0.515742 1.74756i
\(645\) 18.0349 27.0091i 0.710123 1.06348i
\(646\) −7.42641 + 3.65767i −0.292188 + 0.143909i
\(647\) 7.73169 23.7957i 0.303964 0.935506i −0.676097 0.736812i \(-0.736330\pi\)
0.980062 0.198694i \(-0.0636699\pi\)
\(648\) −5.91501 24.7591i −0.232364 0.972629i
\(649\) 19.6099 0.769756
\(650\) −0.191265 29.5977i −0.00750202 1.16092i
\(651\) 58.2044 6.31596i 2.28121 0.247542i
\(652\) −2.50450 + 1.71760i −0.0980839 + 0.0672663i
\(653\) 39.3124 + 12.7734i 1.53841 + 0.499861i 0.950938 0.309382i \(-0.100122\pi\)
0.587475 + 0.809242i \(0.300122\pi\)
\(654\) 24.4286 15.5115i 0.955236 0.606547i
\(655\) −14.3503 0.984721i −0.560712 0.0384762i
\(656\) −9.21925 + 2.45046i −0.359951 + 0.0956746i
\(657\) 11.5147 2.52877i 0.449230 0.0986567i
\(658\) 6.03827 + 3.18076i 0.235396 + 0.123999i
\(659\) −21.4435 15.5796i −0.835320 0.606896i 0.0857391 0.996318i \(-0.472675\pi\)
−0.921060 + 0.389422i \(0.872675\pi\)
\(660\) −14.7975 4.60604i −0.575992 0.179290i
\(661\) 25.8205 18.7597i 1.00430 0.729668i 0.0412960 0.999147i \(-0.486851\pi\)
0.963006 + 0.269479i \(0.0868513\pi\)
\(662\) −21.0192 + 3.03687i −0.816935 + 0.118031i
\(663\) 13.9494 24.3502i 0.541749 0.945684i
\(664\) −5.55698 + 27.7186i −0.215653 + 1.07569i
\(665\) −14.9077 1.02297i −0.578095 0.0396690i
\(666\) 11.6262 + 30.9186i 0.450505 + 1.19807i
\(667\) 1.36895 0.444800i 0.0530060 0.0172227i
\(668\) 0.0247573 0.910518i 0.000957890 0.0352290i
\(669\) −13.6835 + 6.14763i −0.529034 + 0.237681i
\(670\) 2.82566 11.5876i 0.109165 0.447668i
\(671\) 9.14079 28.1325i 0.352876 1.08604i
\(672\) 21.1877 + 37.7570i 0.817332 + 1.45651i
\(673\) −22.4206 + 16.2896i −0.864252 + 0.627916i −0.929039 0.369983i \(-0.879363\pi\)
0.0647861 + 0.997899i \(0.479363\pi\)
\(674\) −6.13315 6.30218i −0.236240 0.242751i
\(675\) −25.5266 + 4.83641i −0.982521 + 0.186154i
\(676\) −0.245773 + 9.03896i −0.00945281 + 0.347652i
\(677\) −18.6880 25.7219i −0.718240 0.988573i −0.999580 0.0289645i \(-0.990779\pi\)
0.281340 0.959608i \(-0.409221\pi\)
\(678\) −0.905019 1.42529i −0.0347570 0.0547379i
\(679\) 7.20754 + 2.34187i 0.276600 + 0.0898728i
\(680\) 13.4266 20.4699i 0.514888 0.784983i
\(681\) 2.26676 + 5.04539i 0.0868625 + 0.193340i
\(682\) 15.5113 15.0952i 0.593957 0.578027i
\(683\) 8.33811 + 25.6621i 0.319049 + 0.981932i 0.974056 + 0.226309i \(0.0726658\pi\)
−0.655007 + 0.755623i \(0.727334\pi\)
\(684\) −8.21214 3.85931i −0.313999 0.147564i
\(685\) −15.3299 24.4621i −0.585726 0.934651i
\(686\) −5.86536 + 34.0320i −0.223940 + 1.29935i
\(687\) −11.6540 6.67618i −0.444629 0.254712i
\(688\) −21.1610 + 26.0246i −0.806754 + 0.992179i
\(689\) 5.56283 + 7.65658i 0.211927 + 0.291693i
\(690\) −28.4111 3.74601i −1.08159 0.142608i
\(691\) 19.8791 27.3612i 0.756235 1.04087i −0.241283 0.970455i \(-0.577568\pi\)
0.997518 0.0704136i \(-0.0224319\pi\)
\(692\) −7.13328 24.1706i −0.271167 0.918829i
\(693\) −5.68923 25.9057i −0.216116 0.984077i
\(694\) 7.01292 13.3132i 0.266207 0.505360i
\(695\) −12.1768 + 3.05284i −0.461892 + 0.115801i
\(696\) −1.15700 + 0.691267i −0.0438559 + 0.0262024i
\(697\) −2.85253 + 8.77918i −0.108047 + 0.332535i
\(698\) −14.3254 2.46896i −0.542225 0.0934515i
\(699\) 4.35504 + 40.1336i 0.164723 + 1.51799i
\(700\) 39.5142 19.7799i 1.49349 0.747609i
\(701\) 30.9892i 1.17045i 0.810872 + 0.585223i \(0.198993\pi\)
−0.810872 + 0.585223i \(0.801007\pi\)
\(702\) 30.3973 4.70610i 1.14727 0.177620i
\(703\) 11.1981 + 3.63849i 0.422345 + 0.137228i
\(704\) 14.7692 + 6.16976i 0.556634 + 0.232532i
\(705\) 3.32087 2.61962i 0.125071 0.0986606i
\(706\) 26.2856 + 13.8463i 0.989270 + 0.521114i
\(707\) −55.1040 −2.07240
\(708\) −31.3371 + 13.0673i −1.17772 + 0.491098i
\(709\) −28.7564 20.8928i −1.07997 0.784645i −0.102293 0.994754i \(-0.532618\pi\)
−0.977678 + 0.210110i \(0.932618\pi\)
\(710\) 16.4357 + 19.3833i 0.616822 + 0.727442i
\(711\) 8.18625 + 7.27160i 0.307008 + 0.272706i
\(712\) −0.760806 6.51200i −0.0285124 0.244048i
\(713\) 23.5244 32.3785i 0.880995 1.21259i
\(714\) 41.8139 + 2.62018i 1.56485 + 0.0980576i
\(715\) 6.99256 17.3722i 0.261507 0.649683i
\(716\) 19.6923 25.6103i 0.735937 0.957101i
\(717\) −15.6778 34.8958i −0.585498 1.30321i
\(718\) −26.6871 27.4225i −0.995952 1.02340i
\(719\) −3.20211 9.85508i −0.119419 0.367533i 0.873424 0.486960i \(-0.161894\pi\)
−0.992843 + 0.119427i \(0.961894\pi\)
\(720\) 26.7161 2.49989i 0.995651 0.0931656i
\(721\) 9.02617 27.7797i 0.336152 1.03457i
\(722\) 21.2035 10.4432i 0.789111 0.388654i
\(723\) 6.93095 6.28309i 0.257765 0.233671i
\(724\) 0.853080 31.3743i 0.0317045 1.16602i
\(725\) 0.648946 + 1.21287i 0.0241012 + 0.0450448i
\(726\) 13.2086 + 10.9215i 0.490216 + 0.405335i
\(727\) 3.98636 + 5.48676i 0.147846 + 0.203493i 0.876516 0.481372i \(-0.159861\pi\)
−0.728670 + 0.684865i \(0.759861\pi\)
\(728\) −47.5433 + 21.8310i −1.76207 + 0.809112i
\(729\) −8.86106 25.5045i −0.328187 0.944613i
\(730\) 0.930824 + 12.3919i 0.0344513 + 0.458643i
\(731\) 10.0300 + 30.8691i 0.370972 + 1.14173i
\(732\) 4.13913 + 51.0475i 0.152987 + 1.88677i
\(733\) 3.39852 + 10.4596i 0.125527 + 0.386333i 0.993997 0.109409i \(-0.0348959\pi\)
−0.868469 + 0.495743i \(0.834896\pi\)
\(734\) 35.1935 5.08477i 1.29901 0.187682i
\(735\) 40.3458 + 26.9402i 1.48818 + 0.993705i
\(736\) 28.8506 + 6.60436i 1.06345 + 0.243440i
\(737\) 4.43558 6.10505i 0.163387 0.224882i
\(738\) −9.47060 + 3.56118i −0.348618 + 0.131089i
\(739\) −19.9689 27.4848i −0.734568 1.01105i −0.998913 0.0466180i \(-0.985156\pi\)
0.264345 0.964428i \(-0.414844\pi\)
\(740\) −33.9914 + 7.54630i −1.24955 + 0.277407i
\(741\) 5.45009 9.51375i 0.200214 0.349496i
\(742\) −6.58506 + 12.5009i −0.241745 + 0.458923i
\(743\) 24.4782 0.898020 0.449010 0.893527i \(-0.351777\pi\)
0.449010 + 0.893527i \(0.351777\pi\)
\(744\) −14.7285 + 34.4587i −0.539975 + 1.26332i
\(745\) −46.3533 18.6579i −1.69825 0.683571i
\(746\) −41.7563 + 20.5659i −1.52881 + 0.752971i
\(747\) −2.93318 + 29.8412i −0.107320 + 1.09183i
\(748\) 12.7734 8.76004i 0.467041 0.320299i
\(749\) 5.06295i 0.184996i
\(750\) −1.26041 27.3571i −0.0460235 0.998940i
\(751\) 26.9872i 0.984777i 0.870375 + 0.492389i \(0.163876\pi\)
−0.870375 + 0.492389i \(0.836124\pi\)
\(752\) −3.66845 + 2.37187i −0.133775 + 0.0864930i
\(753\) −0.965992 + 4.62118i −0.0352027 + 0.168405i
\(754\) −0.719567 1.46099i −0.0262051 0.0532060i
\(755\) −2.90299 1.16850i −0.105651 0.0425260i
\(756\) 26.3541 + 37.6070i 0.958489 + 1.36775i
\(757\) −17.2459 −0.626812 −0.313406 0.949619i \(-0.601470\pi\)
−0.313406 + 0.949619i \(0.601470\pi\)
\(758\) 38.4471 + 20.2526i 1.39646 + 0.735608i
\(759\) −15.7325 9.01260i −0.571054 0.327137i
\(760\) 5.24585 7.99767i 0.190287 0.290106i
\(761\) 10.5603 + 14.5350i 0.382810 + 0.526893i 0.956326 0.292301i \(-0.0944210\pi\)
−0.573516 + 0.819194i \(0.694421\pi\)
\(762\) 4.53828 1.16645i 0.164405 0.0422559i
\(763\) −30.6838 + 42.2326i −1.11083 + 1.52892i
\(764\) 14.8019 + 21.5832i 0.535513 + 0.780854i
\(765\) 12.0052 23.0234i 0.434051 0.832411i
\(766\) 6.30787 + 43.6589i 0.227913 + 1.57746i
\(767\) −12.6778 39.0183i −0.457769 1.40887i
\(768\) −27.7128 0.0178533i −1.00000 0.000644225i
\(769\) −4.75664 14.6394i −0.171529 0.527912i 0.827929 0.560833i \(-0.189519\pi\)
−0.999458 + 0.0329211i \(0.989519\pi\)
\(770\) 27.8792 2.09417i 1.00470 0.0754686i
\(771\) 21.2678 + 4.44573i 0.765940 + 0.160109i
\(772\) 42.2413 + 15.0062i 1.52030 + 0.540083i
\(773\) −3.42545 4.71473i −0.123205 0.169577i 0.742959 0.669337i \(-0.233422\pi\)
−0.866164 + 0.499760i \(0.833422\pi\)
\(774\) −19.5804 + 29.7037i −0.703802 + 1.06768i