Properties

Label 570.2.bi.a.263.16
Level $570$
Weight $2$
Character 570.263
Analytic conductor $4.551$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bi (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(40\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 263.16
Character \(\chi\) \(=\) 570.263
Dual form 570.2.bi.a.557.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0871557 - 0.996195i) q^{2} +(1.40461 + 1.01345i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-2.23226 + 0.130500i) q^{5} +(0.887175 - 1.48759i) q^{6} +(-0.693469 - 0.185814i) q^{7} +(0.258819 + 0.965926i) q^{8} +(0.945834 + 2.84700i) q^{9} +O(q^{10})\) \(q+(-0.0871557 - 0.996195i) q^{2} +(1.40461 + 1.01345i) q^{3} +(-0.984808 + 0.173648i) q^{4} +(-2.23226 + 0.130500i) q^{5} +(0.887175 - 1.48759i) q^{6} +(-0.693469 - 0.185814i) q^{7} +(0.258819 + 0.965926i) q^{8} +(0.945834 + 2.84700i) q^{9} +(0.324558 + 2.21239i) q^{10} +(0.957690 + 0.552923i) q^{11} +(-1.55925 - 0.754147i) q^{12} +(1.59870 + 3.42843i) q^{13} +(-0.124668 + 0.707025i) q^{14} +(-3.26770 - 2.07898i) q^{15} +(0.939693 - 0.342020i) q^{16} +(0.308860 + 3.53029i) q^{17} +(2.75373 - 1.19037i) q^{18} +(0.650639 + 4.31007i) q^{19} +(2.17568 - 0.516145i) q^{20} +(-0.785736 - 0.963792i) q^{21} +(0.467350 - 1.00224i) q^{22} +(0.482292 + 0.337705i) q^{23} +(-0.615380 + 1.61905i) q^{24} +(4.96594 - 0.582621i) q^{25} +(3.27604 - 1.89142i) q^{26} +(-1.55677 + 4.95747i) q^{27} +(0.715200 + 0.0625719i) q^{28} +(-0.211072 + 0.177111i) q^{29} +(-1.78627 + 3.43646i) q^{30} +(-1.29002 - 2.23438i) q^{31} +(-0.422618 - 0.906308i) q^{32} +(0.784817 + 1.74721i) q^{33} +(3.48994 - 0.615370i) q^{34} +(1.57225 + 0.324287i) q^{35} +(-1.42584 - 2.63950i) q^{36} +(1.45512 - 1.45512i) q^{37} +(4.23696 - 1.02381i) q^{38} +(-1.22900 + 6.43579i) q^{39} +(-0.703804 - 2.12242i) q^{40} +(2.75616 + 7.57248i) q^{41} +(-0.891644 + 0.866746i) q^{42} +(-5.18643 + 3.63158i) q^{43} +(-1.03915 - 0.378221i) q^{44} +(-2.48288 - 6.23180i) q^{45} +(0.294385 - 0.509890i) q^{46} +(4.28170 + 0.374601i) q^{47} +(1.66652 + 0.471929i) q^{48} +(-5.61581 - 3.24229i) q^{49} +(-1.01321 - 4.89626i) q^{50} +(-3.14395 + 5.27168i) q^{51} +(-2.16975 - 3.09873i) q^{52} +(-3.77167 - 2.64095i) q^{53} +(5.07428 + 1.11877i) q^{54} +(-2.20997 - 1.10929i) q^{55} -0.717932i q^{56} +(-3.45415 + 6.71333i) q^{57} +(0.194833 + 0.194833i) q^{58} +(-5.58831 - 4.68915i) q^{59} +(3.57906 + 1.47997i) q^{60} +(-1.14056 - 6.46842i) q^{61} +(-2.11345 + 1.47985i) q^{62} +(-0.126893 - 2.15005i) q^{63} +(-0.866025 + 0.500000i) q^{64} +(-4.01612 - 7.44449i) q^{65} +(1.67216 - 0.934110i) q^{66} +(0.128666 - 1.47065i) q^{67} +(-0.917197 - 3.42303i) q^{68} +(0.335183 + 0.963122i) q^{69} +(0.186023 - 1.59453i) q^{70} +(14.0084 + 2.47007i) q^{71} +(-2.50519 + 1.65046i) q^{72} +(-2.29327 - 1.06937i) q^{73} +(-1.57641 - 1.32276i) q^{74} +(7.56564 + 4.21438i) q^{75} +(-1.38919 - 4.13160i) q^{76} +(-0.561387 - 0.561387i) q^{77} +(6.51841 + 0.663404i) q^{78} +(-2.66654 - 7.32626i) q^{79} +(-2.05300 + 0.886107i) q^{80} +(-7.21080 + 5.38557i) q^{81} +(7.30345 - 3.40565i) q^{82} +(6.22884 + 1.66901i) q^{83} +(0.941160 + 0.812709i) q^{84} +(-1.15016 - 7.84021i) q^{85} +(4.06979 + 4.85018i) q^{86} +(-0.475966 + 0.0348592i) q^{87} +(-0.286214 + 1.06816i) q^{88} +(5.78975 + 2.10730i) q^{89} +(-5.99169 + 3.01657i) q^{90} +(-0.471598 - 2.67457i) q^{91} +(-0.533607 - 0.248825i) q^{92} +(0.452466 - 4.44580i) q^{93} -4.29806i q^{94} +(-2.01486 - 9.53626i) q^{95} +(0.324887 - 1.70131i) q^{96} +(15.8857 - 1.38982i) q^{97} +(-2.74050 + 5.87702i) q^{98} +(-0.668354 + 3.24951i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + O(q^{10}) \) \( 480q - 36q^{15} - 48q^{18} + 24q^{22} - 24q^{25} + 72q^{33} + 24q^{43} - 36q^{45} + 24q^{51} - 120q^{55} + 108q^{57} - 48q^{60} - 48q^{61} - 36q^{63} - 24q^{66} + 48q^{67} - 48q^{70} - 48q^{78} - 144q^{81} - 48q^{85} - 96q^{87} - 168q^{90} - 144q^{91} - 228q^{93} + 48q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{9}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0871557 0.996195i −0.0616284 0.704416i
\(3\) 1.40461 + 1.01345i 0.810949 + 0.585116i
\(4\) −0.984808 + 0.173648i −0.492404 + 0.0868241i
\(5\) −2.23226 + 0.130500i −0.998296 + 0.0583616i
\(6\) 0.887175 1.48759i 0.362188 0.607306i
\(7\) −0.693469 0.185814i −0.262107 0.0702312i 0.125373 0.992110i \(-0.459987\pi\)
−0.387479 + 0.921879i \(0.626654\pi\)
\(8\) 0.258819 + 0.965926i 0.0915064 + 0.341506i
\(9\) 0.945834 + 2.84700i 0.315278 + 0.948999i
\(10\) 0.324558 + 2.21239i 0.102634 + 0.699619i
\(11\) 0.957690 + 0.552923i 0.288754 + 0.166712i 0.637380 0.770550i \(-0.280018\pi\)
−0.348626 + 0.937262i \(0.613352\pi\)
\(12\) −1.55925 0.754147i −0.450117 0.217704i
\(13\) 1.59870 + 3.42843i 0.443400 + 0.950874i 0.993291 + 0.115638i \(0.0368913\pi\)
−0.549892 + 0.835236i \(0.685331\pi\)
\(14\) −0.124668 + 0.707025i −0.0333188 + 0.188960i
\(15\) −3.26770 2.07898i −0.843715 0.536791i
\(16\) 0.939693 0.342020i 0.234923 0.0855050i
\(17\) 0.308860 + 3.53029i 0.0749097 + 0.856221i 0.936969 + 0.349413i \(0.113619\pi\)
−0.862059 + 0.506808i \(0.830825\pi\)
\(18\) 2.75373 1.19037i 0.649060 0.280572i
\(19\) 0.650639 + 4.31007i 0.149267 + 0.988797i
\(20\) 2.17568 0.516145i 0.486497 0.115414i
\(21\) −0.785736 0.963792i −0.171462 0.210317i
\(22\) 0.467350 1.00224i 0.0996394 0.213677i
\(23\) 0.482292 + 0.337705i 0.100565 + 0.0704163i 0.622777 0.782399i \(-0.286004\pi\)
−0.522212 + 0.852815i \(0.674893\pi\)
\(24\) −0.615380 + 1.61905i −0.125614 + 0.330486i
\(25\) 4.96594 0.582621i 0.993188 0.116524i
\(26\) 3.27604 1.89142i 0.642485 0.370939i
\(27\) −1.55677 + 4.95747i −0.299601 + 0.954065i
\(28\) 0.715200 + 0.0625719i 0.135160 + 0.0118250i
\(29\) −0.211072 + 0.177111i −0.0391951 + 0.0328886i −0.662175 0.749349i \(-0.730366\pi\)
0.622980 + 0.782238i \(0.285922\pi\)
\(30\) −1.78627 + 3.43646i −0.326127 + 0.627408i
\(31\) −1.29002 2.23438i −0.231694 0.401307i 0.726612 0.687048i \(-0.241094\pi\)
−0.958307 + 0.285741i \(0.907760\pi\)
\(32\) −0.422618 0.906308i −0.0747091 0.160214i
\(33\) 0.784817 + 1.74721i 0.136619 + 0.304150i
\(34\) 3.48994 0.615370i 0.598520 0.105535i
\(35\) 1.57225 + 0.324287i 0.265759 + 0.0548146i
\(36\) −1.42584 2.63950i −0.237640 0.439917i
\(37\) 1.45512 1.45512i 0.239221 0.239221i −0.577307 0.816527i \(-0.695896\pi\)
0.816527 + 0.577307i \(0.195896\pi\)
\(38\) 4.23696 1.02381i 0.687325 0.166084i
\(39\) −1.22900 + 6.43579i −0.196797 + 1.03055i
\(40\) −0.703804 2.12242i −0.111281 0.335584i
\(41\) 2.75616 + 7.57248i 0.430439 + 1.18262i 0.945544 + 0.325495i \(0.105531\pi\)
−0.515104 + 0.857127i \(0.672247\pi\)
\(42\) −0.891644 + 0.866746i −0.137584 + 0.133742i
\(43\) −5.18643 + 3.63158i −0.790924 + 0.553811i −0.897770 0.440465i \(-0.854814\pi\)
0.106846 + 0.994276i \(0.465925\pi\)
\(44\) −1.03915 0.378221i −0.156658 0.0570190i
\(45\) −2.48288 6.23180i −0.370126 0.928982i
\(46\) 0.294385 0.509890i 0.0434047 0.0751792i
\(47\) 4.28170 + 0.374601i 0.624551 + 0.0546411i 0.395038 0.918665i \(-0.370731\pi\)
0.229512 + 0.973306i \(0.426287\pi\)
\(48\) 1.66652 + 0.471929i 0.240541 + 0.0681171i
\(49\) −5.61581 3.24229i −0.802258 0.463184i
\(50\) −1.01321 4.89626i −0.143290 0.692436i
\(51\) −3.14395 + 5.27168i −0.440241 + 0.738183i
\(52\) −2.16975 3.09873i −0.300891 0.429716i
\(53\) −3.77167 2.64095i −0.518078 0.362762i 0.285103 0.958497i \(-0.407972\pi\)
−0.803181 + 0.595735i \(0.796861\pi\)
\(54\) 5.07428 + 1.11877i 0.690522 + 0.152246i
\(55\) −2.20997 1.10929i −0.297992 0.149576i
\(56\) 0.717932i 0.0959376i
\(57\) −3.45415 + 6.71333i −0.457513 + 0.889203i
\(58\) 0.194833 + 0.194833i 0.0255828 + 0.0255828i
\(59\) −5.58831 4.68915i −0.727535 0.610475i 0.201923 0.979401i \(-0.435281\pi\)
−0.929458 + 0.368927i \(0.879725\pi\)
\(60\) 3.57906 + 1.47997i 0.462055 + 0.191063i
\(61\) −1.14056 6.46842i −0.146033 0.828196i −0.966532 0.256547i \(-0.917415\pi\)
0.820498 0.571649i \(-0.193696\pi\)
\(62\) −2.11345 + 1.47985i −0.268408 + 0.187941i
\(63\) −0.126893 2.15005i −0.0159870 0.270881i
\(64\) −0.866025 + 0.500000i −0.108253 + 0.0625000i
\(65\) −4.01612 7.44449i −0.498139 0.923376i
\(66\) 1.67216 0.934110i 0.205829 0.114981i
\(67\) 0.128666 1.47065i 0.0157190 0.179669i −0.984276 0.176635i \(-0.943479\pi\)
0.999995 0.00303390i \(-0.000965722\pi\)
\(68\) −0.917197 3.42303i −0.111226 0.415103i
\(69\) 0.335183 + 0.963122i 0.0403513 + 0.115946i
\(70\) 0.186023 1.59453i 0.0222340 0.190583i
\(71\) 14.0084 + 2.47007i 1.66250 + 0.293143i 0.924364 0.381512i \(-0.124597\pi\)
0.738133 + 0.674655i \(0.235708\pi\)
\(72\) −2.50519 + 1.65046i −0.295239 + 0.194509i
\(73\) −2.29327 1.06937i −0.268407 0.125160i 0.283756 0.958897i \(-0.408419\pi\)
−0.552163 + 0.833736i \(0.686197\pi\)
\(74\) −1.57641 1.32276i −0.183254 0.153768i
\(75\) 7.56564 + 4.21438i 0.873605 + 0.486635i
\(76\) −1.38919 4.13160i −0.159351 0.473927i
\(77\) −0.561387 0.561387i −0.0639760 0.0639760i
\(78\) 6.51841 + 0.663404i 0.738065 + 0.0751157i
\(79\) −2.66654 7.32626i −0.300009 0.824268i −0.994497 0.104764i \(-0.966591\pi\)
0.694488 0.719504i \(-0.255631\pi\)
\(80\) −2.05300 + 0.886107i −0.229533 + 0.0990698i
\(81\) −7.21080 + 5.38557i −0.801200 + 0.598397i
\(82\) 7.30345 3.40565i 0.806531 0.376092i
\(83\) 6.22884 + 1.66901i 0.683704 + 0.183198i 0.583920 0.811811i \(-0.301518\pi\)
0.0997838 + 0.995009i \(0.468185\pi\)
\(84\) 0.941160 + 0.812709i 0.102689 + 0.0886738i
\(85\) −1.15016 7.84021i −0.124752 0.850390i
\(86\) 4.06979 + 4.85018i 0.438856 + 0.523009i
\(87\) −0.475966 + 0.0348592i −0.0510290 + 0.00373730i
\(88\) −0.286214 + 1.06816i −0.0305105 + 0.113867i
\(89\) 5.78975 + 2.10730i 0.613712 + 0.223373i 0.630127 0.776492i \(-0.283003\pi\)
−0.0164147 + 0.999865i \(0.505225\pi\)
\(90\) −5.99169 + 3.01657i −0.631579 + 0.317974i
\(91\) −0.471598 2.67457i −0.0494369 0.280371i
\(92\) −0.533607 0.248825i −0.0556324 0.0259418i
\(93\) 0.452466 4.44580i 0.0469185 0.461008i
\(94\) 4.29806i 0.443311i
\(95\) −2.01486 9.53626i −0.206720 0.978400i
\(96\) 0.324887 1.70131i 0.0331586 0.173639i
\(97\) 15.8857 1.38982i 1.61295 0.141115i 0.755310 0.655368i \(-0.227486\pi\)
0.857638 + 0.514253i \(0.171931\pi\)
\(98\) −2.74050 + 5.87702i −0.276832 + 0.593669i
\(99\) −0.668354 + 3.24951i −0.0671721 + 0.326589i
\(100\) −4.78932 + 1.43610i −0.478932 + 0.143610i
\(101\) 6.21919 17.0871i 0.618832 1.70023i −0.0909950 0.995851i \(-0.529005\pi\)
0.709827 0.704376i \(-0.248773\pi\)
\(102\) 5.52564 + 2.67253i 0.547119 + 0.264620i
\(103\) 8.34447 2.23589i 0.822205 0.220309i 0.176895 0.984230i \(-0.443395\pi\)
0.645310 + 0.763921i \(0.276728\pi\)
\(104\) −2.89783 + 2.43157i −0.284156 + 0.238435i
\(105\) 1.87974 + 2.04889i 0.183444 + 0.199951i
\(106\) −2.30218 + 3.98749i −0.223607 + 0.387299i
\(107\) −1.10078 + 4.10816i −0.106416 + 0.397150i −0.998502 0.0547156i \(-0.982575\pi\)
0.892086 + 0.451866i \(0.149241\pi\)
\(108\) 0.672264 5.15248i 0.0646887 0.495798i
\(109\) −7.83658 1.38180i −0.750608 0.132353i −0.214760 0.976667i \(-0.568897\pi\)
−0.535848 + 0.844314i \(0.680008\pi\)
\(110\) −0.912454 + 2.29824i −0.0869991 + 0.219128i
\(111\) 3.51857 0.569178i 0.333968 0.0540239i
\(112\) −0.715200 + 0.0625719i −0.0675800 + 0.00591248i
\(113\) −2.78417 + 2.78417i −0.261913 + 0.261913i −0.825831 0.563918i \(-0.809293\pi\)
0.563918 + 0.825831i \(0.309293\pi\)
\(114\) 6.98884 + 2.85590i 0.654565 + 0.267480i
\(115\) −1.12067 0.690904i −0.104503 0.0644272i
\(116\) 0.177111 0.211072i 0.0164443 0.0195976i
\(117\) −8.24862 + 7.79422i −0.762585 + 0.720576i
\(118\) −4.18425 + 5.97573i −0.385191 + 0.550110i
\(119\) 0.441794 2.50554i 0.0404992 0.229682i
\(120\) 1.16240 3.69443i 0.106112 0.337254i
\(121\) −4.88855 8.46722i −0.444414 0.769747i
\(122\) −6.34440 + 1.69998i −0.574395 + 0.153909i
\(123\) −3.80302 + 13.4296i −0.342907 + 1.21090i
\(124\) 1.65842 + 1.97643i 0.148930 + 0.177488i
\(125\) −11.0092 + 1.94862i −0.984694 + 0.174290i
\(126\) −2.13081 + 0.313800i −0.189828 + 0.0279555i
\(127\) −2.70655 + 1.26209i −0.240168 + 0.111992i −0.538976 0.842321i \(-0.681189\pi\)
0.298808 + 0.954313i \(0.403411\pi\)
\(128\) 0.573576 + 0.819152i 0.0506975 + 0.0724035i
\(129\) −10.9653 0.155259i −0.965443 0.0136698i
\(130\) −7.06614 + 4.64967i −0.619741 + 0.407803i
\(131\) 0.149322 0.177955i 0.0130463 0.0155480i −0.759482 0.650529i \(-0.774547\pi\)
0.772528 + 0.634980i \(0.218992\pi\)
\(132\) −1.07629 1.58438i −0.0936793 0.137903i
\(133\) 0.349674 3.10979i 0.0303206 0.269653i
\(134\) −1.47627 −0.127531
\(135\) 2.82816 11.2695i 0.243409 0.969924i
\(136\) −3.33006 + 1.21204i −0.285550 + 0.103932i
\(137\) −13.0819 + 18.6829i −1.11766 + 1.59618i −0.374280 + 0.927316i \(0.622110\pi\)
−0.743380 + 0.668869i \(0.766779\pi\)
\(138\) 0.930244 0.417849i 0.0791876 0.0355697i
\(139\) 7.66439 21.0577i 0.650085 1.78609i 0.0326580 0.999467i \(-0.489603\pi\)
0.617427 0.786628i \(-0.288175\pi\)
\(140\) −1.60467 0.0463426i −0.135620 0.00391666i
\(141\) 5.63447 + 4.86546i 0.474508 + 0.409746i
\(142\) 1.23975 14.1704i 0.104038 1.18916i
\(143\) −0.364594 + 4.16733i −0.0304889 + 0.348489i
\(144\) 1.86252 + 2.35181i 0.155210 + 0.195984i
\(145\) 0.448055 0.422902i 0.0372089 0.0351201i
\(146\) −0.865428 + 2.37774i −0.0716233 + 0.196783i
\(147\) −4.60209 10.2455i −0.379574 0.845033i
\(148\) −1.18034 + 1.68569i −0.0970230 + 0.138563i
\(149\) −3.82148 + 1.39090i −0.313068 + 0.113947i −0.493775 0.869590i \(-0.664383\pi\)
0.180708 + 0.983537i \(0.442161\pi\)
\(150\) 3.53896 7.90416i 0.288955 0.645372i
\(151\) 0.368096 0.0299552 0.0149776 0.999888i \(-0.495232\pi\)
0.0149776 + 0.999888i \(0.495232\pi\)
\(152\) −3.99481 + 1.74400i −0.324022 + 0.141457i
\(153\) −9.75860 + 4.21839i −0.788936 + 0.341037i
\(154\) −0.510323 + 0.608179i −0.0411230 + 0.0490085i
\(155\) 3.17124 + 4.81936i 0.254720 + 0.387100i
\(156\) 0.0927625 6.55143i 0.00742695 0.524534i
\(157\) 11.0446 + 15.7733i 0.881455 + 1.25885i 0.964975 + 0.262342i \(0.0844948\pi\)
−0.0835202 + 0.996506i \(0.526616\pi\)
\(158\) −7.06597 + 3.29492i −0.562139 + 0.262130i
\(159\) −2.62123 7.53189i −0.207877 0.597318i
\(160\) 1.06167 + 1.96796i 0.0839321 + 0.155581i
\(161\) −0.271704 0.323805i −0.0214133 0.0255194i
\(162\) 5.99354 + 6.71397i 0.470897 + 0.527500i
\(163\) −12.7399 + 3.41364i −0.997863 + 0.267377i −0.720550 0.693403i \(-0.756111\pi\)
−0.277313 + 0.960780i \(0.589444\pi\)
\(164\) −4.02923 6.97883i −0.314630 0.544955i
\(165\) −1.97992 3.79780i −0.154137 0.295659i
\(166\) 1.11978 6.35060i 0.0869119 0.492902i
\(167\) −7.65116 + 10.9270i −0.592065 + 0.845556i −0.997651 0.0685006i \(-0.978179\pi\)
0.405586 + 0.914057i \(0.367067\pi\)
\(168\) 0.727589 1.00841i 0.0561347 0.0778006i
\(169\) −0.842017 + 1.00348i −0.0647706 + 0.0771905i
\(170\) −7.71013 + 1.82910i −0.591340 + 0.140286i
\(171\) −11.6554 + 5.92897i −0.891307 + 0.453400i
\(172\) 4.47702 4.47702i 0.341370 0.341370i
\(173\) 9.96303 0.871652i 0.757475 0.0662705i 0.298126 0.954526i \(-0.403638\pi\)
0.459349 + 0.888256i \(0.348083\pi\)
\(174\) 0.0762098 + 0.471117i 0.00577745 + 0.0357153i
\(175\) −3.55198 0.518713i −0.268505 0.0392110i
\(176\) 1.08905 + 0.192028i 0.0820899 + 0.0144747i
\(177\) −3.09715 12.2499i −0.232796 0.920757i
\(178\) 1.59467 5.95138i 0.119525 0.446075i
\(179\) 10.4252 18.0569i 0.779214 1.34964i −0.153182 0.988198i \(-0.548952\pi\)
0.932395 0.361440i \(-0.117715\pi\)
\(180\) 3.52730 + 5.70598i 0.262909 + 0.425298i
\(181\) −9.65266 + 8.09955i −0.717477 + 0.602035i −0.926686 0.375836i \(-0.877355\pi\)
0.209209 + 0.977871i \(0.432911\pi\)
\(182\) −2.62329 + 0.702908i −0.194451 + 0.0521030i
\(183\) 4.95339 10.2415i 0.366165 0.757071i
\(184\) −0.201371 + 0.553263i −0.0148453 + 0.0407871i
\(185\) −3.05831 + 3.43810i −0.224852 + 0.252774i
\(186\) −4.46831 0.0632674i −0.327633 0.00463899i
\(187\) −1.65619 + 3.55170i −0.121112 + 0.259726i
\(188\) −4.28170 + 0.374601i −0.312275 + 0.0273206i
\(189\) 2.00074 3.14858i 0.145532 0.229025i
\(190\) −9.32437 + 2.83833i −0.676461 + 0.205914i
\(191\) 10.8760i 0.786957i −0.919334 0.393478i \(-0.871272\pi\)
0.919334 0.393478i \(-0.128728\pi\)
\(192\) −1.72315 0.175372i −0.124358 0.0126564i
\(193\) 5.66971 + 2.64383i 0.408114 + 0.190307i 0.615824 0.787884i \(-0.288823\pi\)
−0.207710 + 0.978191i \(0.566601\pi\)
\(194\) −2.76906 15.7041i −0.198807 1.12749i
\(195\) 1.90356 14.5267i 0.136317 1.04028i
\(196\) 6.09351 + 2.21786i 0.435250 + 0.158418i
\(197\) −3.99954 + 14.9265i −0.284956 + 1.06347i 0.663916 + 0.747807i \(0.268893\pi\)
−0.948872 + 0.315662i \(0.897773\pi\)
\(198\) 3.29540 + 0.382597i 0.234194 + 0.0271900i
\(199\) −9.16953 10.9278i −0.650011 0.774652i 0.335905 0.941896i \(-0.390958\pi\)
−0.985916 + 0.167243i \(0.946513\pi\)
\(200\) 1.84805 + 4.64594i 0.130677 + 0.328517i
\(201\) 1.67116 1.93529i 0.117875 0.136505i
\(202\) −17.5641 4.70628i −1.23580 0.331133i
\(203\) 0.179282 0.0836005i 0.0125831 0.00586760i
\(204\) 2.18077 5.73753i 0.152684 0.401708i
\(205\) −7.14066 16.5440i −0.498725 1.15549i
\(206\) −2.95465 8.11784i −0.205860 0.565597i
\(207\) −0.505276 + 1.69250i −0.0351191 + 0.117637i
\(208\) 2.67488 + 2.67488i 0.185469 + 0.185469i
\(209\) −1.76002 + 4.48746i −0.121743 + 0.310404i
\(210\) 1.87727 2.05116i 0.129544 0.141543i
\(211\) 18.0677 + 15.1606i 1.24383 + 1.04370i 0.997214 + 0.0745873i \(0.0237639\pi\)
0.246619 + 0.969113i \(0.420681\pi\)
\(212\) 4.17296 + 1.94588i 0.286600 + 0.133644i
\(213\) 17.1730 + 17.6663i 1.17668 + 1.21048i
\(214\) 4.18846 + 0.738539i 0.286317 + 0.0504855i
\(215\) 11.1035 8.78345i 0.757254 0.599026i
\(216\) −5.19147 0.220638i −0.353235 0.0150125i
\(217\) 0.479409 + 1.78918i 0.0325444 + 0.121457i
\(218\) −0.693539 + 7.92719i −0.0469724 + 0.536897i
\(219\) −2.13738 3.82616i −0.144431 0.258548i
\(220\) 2.36902 + 0.708677i 0.159719 + 0.0477790i
\(221\) −11.6096 + 6.70279i −0.780944 + 0.450878i
\(222\) −0.873675 3.45557i −0.0586372 0.231923i
\(223\) 18.2714 12.7938i 1.22355 0.856735i 0.230340 0.973110i \(-0.426016\pi\)
0.993205 + 0.116375i \(0.0371274\pi\)
\(224\) 0.124668 + 0.707025i 0.00832970 + 0.0472401i
\(225\) 6.35567 + 13.5870i 0.423712 + 0.905797i
\(226\) 3.01624 + 2.53092i 0.200637 + 0.168354i
\(227\) 4.93551 + 4.93551i 0.327581 + 0.327581i 0.851666 0.524085i \(-0.175593\pi\)
−0.524085 + 0.851666i \(0.675593\pi\)
\(228\) 2.23591 7.21115i 0.148077 0.477570i
\(229\) 19.4863i 1.28769i 0.765156 + 0.643844i \(0.222662\pi\)
−0.765156 + 0.643844i \(0.777338\pi\)
\(230\) −0.590602 + 1.17662i −0.0389432 + 0.0775842i
\(231\) −0.219589 1.35747i −0.0144479 0.0893147i
\(232\) −0.225705 0.158041i −0.0148183 0.0103759i
\(233\) 7.57212 + 10.8141i 0.496066 + 0.708456i 0.986635 0.162947i \(-0.0520998\pi\)
−0.490569 + 0.871403i \(0.663211\pi\)
\(234\) 8.48347 + 7.53792i 0.554582 + 0.492769i
\(235\) −9.60675 0.277440i −0.626675 0.0180982i
\(236\) 6.31767 + 3.64751i 0.411245 + 0.237433i
\(237\) 3.67937 12.9929i 0.239001 0.843980i
\(238\) −2.53451 0.221741i −0.164288 0.0143733i
\(239\) 13.7239 23.7705i 0.887727 1.53759i 0.0451717 0.998979i \(-0.485617\pi\)
0.842556 0.538609i \(-0.181050\pi\)
\(240\) −3.78168 0.835985i −0.244107 0.0539626i
\(241\) −8.32665 3.03065i −0.536367 0.195222i 0.0596121 0.998222i \(-0.481014\pi\)
−0.595979 + 0.803000i \(0.703236\pi\)
\(242\) −8.00894 + 5.60792i −0.514834 + 0.360491i
\(243\) −15.5863 + 0.256817i −0.999864 + 0.0164748i
\(244\) 2.24646 + 6.17209i 0.143815 + 0.395128i
\(245\) 12.9590 + 6.50475i 0.827923 + 0.415573i
\(246\) 13.7099 + 2.61809i 0.874113 + 0.166923i
\(247\) −13.7366 + 9.12118i −0.874037 + 0.580367i
\(248\) 1.82436 1.82436i 0.115847 0.115847i
\(249\) 7.05760 + 8.65692i 0.447257 + 0.548610i
\(250\) 2.90072 + 10.7975i 0.183458 + 0.682893i
\(251\) 20.7090 3.65156i 1.30714 0.230484i 0.523675 0.851918i \(-0.324561\pi\)
0.783467 + 0.621434i \(0.213450\pi\)
\(252\) 0.498318 + 2.09535i 0.0313911 + 0.131995i
\(253\) 0.275162 + 0.590087i 0.0172993 + 0.0370984i
\(254\) 1.49317 + 2.58625i 0.0936901 + 0.162276i
\(255\) 6.33015 12.1780i 0.396409 0.762618i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −8.65161 0.756918i −0.539673 0.0472152i −0.185939 0.982561i \(-0.559533\pi\)
−0.353734 + 0.935346i \(0.615088\pi\)
\(258\) 0.801022 + 10.9371i 0.0498695 + 0.680916i
\(259\) −1.27946 + 0.738699i −0.0795020 + 0.0459005i
\(260\) 5.24783 + 6.63400i 0.325457 + 0.411423i
\(261\) −0.703873 0.433405i −0.0435687 0.0268271i
\(262\) −0.190292 0.133244i −0.0117563 0.00823185i
\(263\) 9.58866 20.5630i 0.591262 1.26797i −0.352026 0.935990i \(-0.614507\pi\)
0.943288 0.331976i \(-0.107715\pi\)
\(264\) −1.48455 + 1.21029i −0.0913677 + 0.0744880i
\(265\) 8.76397 + 5.40307i 0.538366 + 0.331908i
\(266\) −3.12844 0.0773071i −0.191817 0.00474000i
\(267\) 5.99667 + 8.82754i 0.366990 + 0.540237i
\(268\) 0.128666 + 1.47065i 0.00785950 + 0.0898345i
\(269\) −13.3881 + 4.87287i −0.816286 + 0.297104i −0.716218 0.697877i \(-0.754128\pi\)
−0.100068 + 0.994981i \(0.531906\pi\)
\(270\) −11.4731 1.83520i −0.698231 0.111686i
\(271\) −4.11475 + 23.3359i −0.249953 + 1.41756i 0.558749 + 0.829337i \(0.311282\pi\)
−0.808702 + 0.588219i \(0.799829\pi\)
\(272\) 1.49766 + 3.21175i 0.0908093 + 0.194741i
\(273\) 2.04813 4.23465i 0.123959 0.256293i
\(274\) 19.7519 + 11.4038i 1.19326 + 0.688928i
\(275\) 5.07798 + 2.18781i 0.306213 + 0.131930i
\(276\) −0.497335 0.890286i −0.0299361 0.0535889i
\(277\) 2.86967 + 10.7098i 0.172422 + 0.643488i 0.996976 + 0.0777050i \(0.0247592\pi\)
−0.824554 + 0.565783i \(0.808574\pi\)
\(278\) −21.6456 5.79992i −1.29822 0.347856i
\(279\) 5.14113 5.78604i 0.307792 0.346401i
\(280\) 0.0936904 + 1.60261i 0.00559907 + 0.0957741i
\(281\) 4.66648 0.822826i 0.278379 0.0490857i −0.0327157 0.999465i \(-0.510416\pi\)
0.311094 + 0.950379i \(0.399304\pi\)
\(282\) 4.35587 6.03708i 0.259388 0.359503i
\(283\) 1.96177 + 22.4232i 0.116615 + 1.33292i 0.798736 + 0.601681i \(0.205502\pi\)
−0.682121 + 0.731239i \(0.738942\pi\)
\(284\) −14.2245 −0.844072
\(285\) 6.83445 15.4367i 0.404838 0.914388i
\(286\) 4.18325 0.247361
\(287\) −0.504233 5.76341i −0.0297639 0.340203i
\(288\) 2.18053 2.06041i 0.128489 0.121411i
\(289\) 4.37417 0.771284i 0.257304 0.0453696i
\(290\) −0.460343 0.409491i −0.0270323 0.0240462i
\(291\) 23.7217 + 14.1472i 1.39059 + 0.829325i
\(292\) 2.44412 + 0.654901i 0.143031 + 0.0383252i
\(293\) −3.28178 12.2478i −0.191724 0.715523i −0.993091 0.117350i \(-0.962560\pi\)
0.801367 0.598173i \(-0.204106\pi\)
\(294\) −9.80539 + 5.47753i −0.571862 + 0.319456i
\(295\) 13.0865 + 9.73810i 0.761924 + 0.566974i
\(296\) 1.78215 + 1.02893i 0.103586 + 0.0598051i
\(297\) −4.23200 + 3.88694i −0.245565 + 0.225543i
\(298\) 1.71867 + 3.68571i 0.0995601 + 0.213507i
\(299\) −0.386754 + 2.19339i −0.0223666 + 0.126847i
\(300\) −8.18252 2.83660i −0.472418 0.163771i
\(301\) 4.27143 1.55467i 0.246201 0.0896098i
\(302\) −0.0320817 0.366695i −0.00184609 0.0211009i
\(303\) 26.0524 17.6978i 1.49667 1.01671i
\(304\) 2.08553 + 3.82761i 0.119613 + 0.219528i
\(305\) 3.39015 + 14.2903i 0.194119 + 0.818262i
\(306\) 5.05286 + 9.35381i 0.288853 + 0.534722i
\(307\) −8.85828 + 18.9966i −0.505569 + 1.08420i 0.473524 + 0.880781i \(0.342982\pi\)
−0.979093 + 0.203415i \(0.934796\pi\)
\(308\) 0.650342 + 0.455375i 0.0370567 + 0.0259474i
\(309\) 13.9867 + 5.31616i 0.795673 + 0.302426i
\(310\) 4.52463 3.57921i 0.256982 0.203286i
\(311\) 28.2510 16.3107i 1.60197 0.924898i 0.610877 0.791726i \(-0.290817\pi\)
0.991093 0.133172i \(-0.0425163\pi\)
\(312\) −6.53458 + 0.478585i −0.369948 + 0.0270946i
\(313\) 29.7798 + 2.60540i 1.68326 + 0.147266i 0.888258 0.459345i \(-0.151916\pi\)
0.794999 + 0.606611i \(0.207472\pi\)
\(314\) 14.7507 12.3773i 0.832430 0.698492i
\(315\) 0.563840 + 4.78291i 0.0317688 + 0.269487i
\(316\) 3.89822 + 6.75192i 0.219292 + 0.379825i
\(317\) −13.9544 29.9253i −0.783756 1.68077i −0.731211 0.682151i \(-0.761045\pi\)
−0.0525443 0.998619i \(-0.516733\pi\)
\(318\) −7.27477 + 3.26770i −0.407949 + 0.183244i
\(319\) −0.300070 + 0.0529105i −0.0168007 + 0.00296242i
\(320\) 1.86794 1.22915i 0.104421 0.0687113i
\(321\) −5.70957 + 4.65475i −0.318677 + 0.259803i
\(322\) −0.298892 + 0.298892i −0.0166566 + 0.0166566i
\(323\) −15.0148 + 3.62816i −0.835448 + 0.201876i
\(324\) 6.16605 6.55590i 0.342559 0.364216i
\(325\) 9.93653 + 16.0939i 0.551179 + 0.892730i
\(326\) 4.51100 + 12.3939i 0.249841 + 0.686433i
\(327\) −9.60692 9.88288i −0.531264 0.546524i
\(328\) −6.60111 + 4.62214i −0.364485 + 0.255215i
\(329\) −2.89962 1.05538i −0.159861 0.0581848i
\(330\) −3.61079 + 2.30339i −0.198767 + 0.126797i
\(331\) 16.9227 29.3111i 0.930158 1.61108i 0.147111 0.989120i \(-0.453003\pi\)
0.783048 0.621962i \(-0.213664\pi\)
\(332\) −6.42403 0.562030i −0.352564 0.0308454i
\(333\) 5.51903 + 2.76643i 0.302441 + 0.151599i
\(334\) 11.5523 + 6.66970i 0.632111 + 0.364950i
\(335\) −0.0952935 + 3.29967i −0.00520644 + 0.180280i
\(336\) −1.06799 0.636931i −0.0582635 0.0347474i
\(337\) 6.23652 + 8.90668i 0.339725 + 0.485178i 0.952270 0.305258i \(-0.0987429\pi\)
−0.612545 + 0.790436i \(0.709854\pi\)
\(338\) 1.07305 + 0.751354i 0.0583660 + 0.0408683i
\(339\) −6.73229 + 1.08904i −0.365648 + 0.0591486i
\(340\) 2.49413 + 7.52138i 0.135263 + 0.407904i
\(341\) 2.85313i 0.154505i
\(342\) 6.92224 + 11.0943i 0.374312 + 0.599909i
\(343\) 6.84550 + 6.84550i 0.369622 + 0.369622i
\(344\) −4.85018 4.06979i −0.261504 0.219428i
\(345\) −0.873903 2.10619i −0.0470494 0.113394i
\(346\) −1.73667 9.84915i −0.0933640 0.529494i
\(347\) 22.0531 15.4418i 1.18387 0.828957i 0.195455 0.980713i \(-0.437382\pi\)
0.988418 + 0.151756i \(0.0484928\pi\)
\(348\) 0.462682 0.116980i 0.0248024 0.00627080i
\(349\) −17.9118 + 10.3414i −0.958799 + 0.553563i −0.895803 0.444451i \(-0.853399\pi\)
−0.0629960 + 0.998014i \(0.520066\pi\)
\(350\) −0.207164 + 3.58368i −0.0110734 + 0.191555i
\(351\) −19.4851 + 2.58824i −1.04004 + 0.138150i
\(352\) 0.0963808 1.10164i 0.00513711 0.0587175i
\(353\) −6.73259 25.1264i −0.358339 1.33734i −0.876230 0.481894i \(-0.839949\pi\)
0.517890 0.855447i \(-0.326718\pi\)
\(354\) −11.9333 + 4.15301i −0.634249 + 0.220730i
\(355\) −31.5928 3.68571i −1.67677 0.195617i
\(356\) −6.06772 1.06990i −0.321588 0.0567047i
\(357\) 3.15979 3.07156i 0.167234 0.162564i
\(358\) −18.8968 8.81173i −0.998728 0.465715i
\(359\) 8.05889 + 6.76221i 0.425332 + 0.356896i 0.830187 0.557485i \(-0.188234\pi\)
−0.404855 + 0.914381i \(0.632678\pi\)
\(360\) 5.37684 4.01118i 0.283384 0.211408i
\(361\) −18.1533 + 5.60860i −0.955439 + 0.295189i
\(362\) 8.91001 + 8.91001i 0.468300 + 0.468300i
\(363\) 1.71463 16.8474i 0.0899946 0.884260i
\(364\) 0.928867 + 2.55204i 0.0486859 + 0.133763i
\(365\) 5.25872 + 2.08783i 0.275254 + 0.109282i
\(366\) −10.6342 4.04194i −0.555859 0.211276i
\(367\) 4.98350 2.32384i 0.260137 0.121304i −0.288175 0.957578i \(-0.593049\pi\)
0.548312 + 0.836274i \(0.315271\pi\)
\(368\) 0.568708 + 0.152385i 0.0296460 + 0.00794362i
\(369\) −18.9520 + 15.0091i −0.986600 + 0.781341i
\(370\) 3.69157 + 2.74702i 0.191915 + 0.142811i
\(371\) 2.12481 + 2.53224i 0.110314 + 0.131468i
\(372\) 0.326412 + 4.45682i 0.0169237 + 0.231076i
\(373\) 3.22219 12.0254i 0.166839 0.622651i −0.830960 0.556333i \(-0.812208\pi\)
0.997799 0.0663185i \(-0.0211253\pi\)
\(374\) 3.68253 + 1.34033i 0.190419 + 0.0693069i
\(375\) −17.4384 8.42027i −0.900517 0.434821i
\(376\) 0.746350 + 4.23276i 0.0384901 + 0.218288i
\(377\) −0.944652 0.440499i −0.0486521 0.0226868i
\(378\) −3.31097 1.71871i −0.170298 0.0884009i
\(379\) 14.3105i 0.735079i −0.930008 0.367539i \(-0.880200\pi\)
0.930008 0.367539i \(-0.119800\pi\)
\(380\) 3.64020 + 9.04151i 0.186739 + 0.463820i
\(381\) −5.08070 0.970225i −0.260292 0.0497061i
\(382\) −10.8346 + 0.947902i −0.554345 + 0.0484989i
\(383\) 1.53385 3.28935i 0.0783761 0.168078i −0.863215 0.504836i \(-0.831553\pi\)
0.941591 + 0.336758i \(0.109331\pi\)
\(384\) −0.0245219 + 1.73188i −0.00125138 + 0.0883795i
\(385\) 1.32642 + 1.17990i 0.0676007 + 0.0601332i
\(386\) 2.13962 5.87856i 0.108904 0.299211i
\(387\) −15.2446 11.3309i −0.774927 0.575982i
\(388\) −15.4030 + 4.12723i −0.781970 + 0.209528i
\(389\) −3.90590 + 3.27744i −0.198037 + 0.166173i −0.736414 0.676532i \(-0.763482\pi\)
0.538377 + 0.842704i \(0.319038\pi\)
\(390\) −14.6373 0.630232i −0.741191 0.0319131i
\(391\) −1.04324 + 1.80694i −0.0527587 + 0.0913807i
\(392\) 1.67833 6.26362i 0.0847685 0.316360i
\(393\) 0.390088 0.0986263i 0.0196773 0.00497504i
\(394\) 15.2183 + 2.68339i 0.766686 + 0.135187i
\(395\) 6.90848 + 16.0061i 0.347603 + 0.805354i
\(396\) 0.0939280 3.31621i 0.00472006 0.166646i
\(397\) −2.60260 + 0.227698i −0.130621 + 0.0114278i −0.152279 0.988338i \(-0.548661\pi\)
0.0216578 + 0.999765i \(0.493106\pi\)
\(398\) −10.0871 + 10.0871i −0.505618 + 0.505618i
\(399\) 3.64278 4.01366i 0.182367 0.200934i
\(400\) 4.46719 2.24594i 0.223359 0.112297i
\(401\) −15.8596 + 18.9008i −0.791993 + 0.943860i −0.999408 0.0343925i \(-0.989050\pi\)
0.207415 + 0.978253i \(0.433495\pi\)
\(402\) −2.07358 1.49613i −0.103421 0.0746202i
\(403\) 5.59805 7.99484i 0.278859 0.398252i
\(404\) −3.15756 + 17.9074i −0.157095 + 0.890928i
\(405\) 15.3935 12.9630i 0.764911 0.644136i
\(406\) −0.0989078 0.171313i −0.00490871 0.00850213i
\(407\) 2.19813 0.588986i 0.108957 0.0291950i
\(408\) −5.90577 1.67241i −0.292379 0.0827967i
\(409\) 2.45393 + 2.92448i 0.121339 + 0.144606i 0.823294 0.567615i \(-0.192134\pi\)
−0.701955 + 0.712221i \(0.747689\pi\)
\(410\) −15.8587 + 8.55540i −0.783207 + 0.422521i
\(411\) −37.3091 + 12.9842i −1.84032 + 0.640464i
\(412\) −7.82944 + 3.65093i −0.385729 + 0.179868i
\(413\) 3.00400 + 4.29016i 0.147817 + 0.211105i
\(414\) 1.73010 + 0.355843i 0.0850295 + 0.0174887i
\(415\) −14.1222 2.91280i −0.693230 0.142984i
\(416\) 2.43157 2.89783i 0.119217 0.142078i
\(417\) 32.1064 21.8103i 1.57226 1.06806i
\(418\) 4.62378 + 1.36222i 0.226157 + 0.0666282i
\(419\) −23.0215 −1.12467 −0.562336 0.826909i \(-0.690097\pi\)
−0.562336 + 0.826909i \(0.690097\pi\)
\(420\) −2.20697 1.69135i −0.107689 0.0825295i
\(421\) −33.7081 + 12.2687i −1.64283 + 0.597941i −0.987530 0.157428i \(-0.949680\pi\)
−0.655300 + 0.755369i \(0.727458\pi\)
\(422\) 13.5282 19.3203i 0.658543 0.940498i
\(423\) 2.98329 + 12.5443i 0.145053 + 0.609925i
\(424\) 1.57478 4.32668i 0.0764782 0.210122i
\(425\) 3.59060 + 17.3513i 0.174170 + 0.841660i
\(426\) 16.1024 18.6474i 0.780163 0.903471i
\(427\) −0.410985 + 4.69758i −0.0198889 + 0.227332i
\(428\) 0.370680 4.23689i 0.0179175 0.204798i
\(429\) −4.73549 + 5.48395i −0.228632 + 0.264768i
\(430\) −9.71776 10.2957i −0.468632 0.496505i
\(431\) 3.22834 8.86979i 0.155504 0.427243i −0.837337 0.546687i \(-0.815889\pi\)
0.992841 + 0.119444i \(0.0381112\pi\)
\(432\) 0.232668 + 5.19094i 0.0111942 + 0.249749i
\(433\) 8.71295 12.4434i 0.418718 0.597991i −0.553276 0.832998i \(-0.686623\pi\)
0.971994 + 0.235007i \(0.0755114\pi\)
\(434\) 1.74059 0.633521i 0.0835508 0.0304100i
\(435\) 1.05793 0.139929i 0.0507239 0.00670906i
\(436\) 7.95747 0.381094
\(437\) −1.14173 + 2.29844i −0.0546164 + 0.109949i
\(438\) −3.62531 + 2.46272i −0.173224 + 0.117673i
\(439\) 6.98592 8.32549i 0.333420 0.397354i −0.573122 0.819470i \(-0.694268\pi\)
0.906542 + 0.422116i \(0.138712\pi\)
\(440\) 0.499507 2.42177i 0.0238130 0.115453i
\(441\) 3.91917 19.0549i 0.186627 0.907374i
\(442\) 7.68912 + 10.9812i 0.365734 + 0.522322i
\(443\) −30.5296 + 14.2362i −1.45051 + 0.676382i −0.978695 0.205318i \(-0.934177\pi\)
−0.471810 + 0.881700i \(0.656399\pi\)
\(444\) −3.36628 + 1.17152i −0.159756 + 0.0555980i
\(445\) −13.1992 3.94846i −0.625702 0.187175i
\(446\) −14.3376 17.0868i −0.678903 0.809085i
\(447\) −6.77728 1.91921i −0.320554 0.0907754i
\(448\) 0.693469 0.185814i 0.0327633 0.00877890i
\(449\) 13.4643 + 23.3209i 0.635420 + 1.10058i 0.986426 + 0.164206i \(0.0525062\pi\)
−0.351006 + 0.936373i \(0.614160\pi\)
\(450\) 12.9813 7.51567i 0.611945 0.354292i
\(451\) −1.54745 + 8.77603i −0.0728666 + 0.413247i
\(452\) 2.25841 3.22534i 0.106227 0.151707i
\(453\) 0.517029 + 0.373047i 0.0242922 + 0.0175273i
\(454\) 4.48657 5.34689i 0.210565 0.250942i
\(455\) 1.40176 + 5.90878i 0.0657156 + 0.277008i
\(456\) −7.37858 1.59891i −0.345534 0.0748760i
\(457\) 11.6557 11.6557i 0.545231 0.545231i −0.379826 0.925058i \(-0.624016\pi\)
0.925058 + 0.379826i \(0.124016\pi\)
\(458\) 19.4121 1.69834i 0.907069 0.0793582i
\(459\) −17.9821 3.96469i −0.839334 0.185056i
\(460\) 1.22362 + 0.485805i 0.0570516 + 0.0226508i
\(461\) 15.3026 + 2.69826i 0.712713 + 0.125670i 0.518237 0.855237i \(-0.326588\pi\)
0.194475 + 0.980907i \(0.437700\pi\)
\(462\) −1.33316 + 0.337064i −0.0620243 + 0.0156817i
\(463\) 3.63665 13.5722i 0.169009 0.630752i −0.828485 0.560011i \(-0.810797\pi\)
0.997495 0.0707410i \(-0.0225364\pi\)
\(464\) −0.137768 + 0.238621i −0.00639570 + 0.0110777i
\(465\) −0.429841 + 9.98320i −0.0199334 + 0.462960i
\(466\) 10.1130 8.48582i 0.468476 0.393098i
\(467\) 24.2634 6.50137i 1.12278 0.300847i 0.350771 0.936461i \(-0.385920\pi\)
0.772007 + 0.635614i \(0.219253\pi\)
\(468\) 6.76985 9.10816i 0.312936 0.421025i
\(469\) −0.362494 + 0.995945i −0.0167384 + 0.0459885i
\(470\) 0.560899 + 9.59437i 0.0258723 + 0.442555i
\(471\) −0.472185 + 33.3485i −0.0217571 + 1.53662i
\(472\) 3.08301 6.61153i 0.141907 0.304320i
\(473\) −6.97498 + 0.610231i −0.320710 + 0.0280585i
\(474\) −13.2641 2.53296i −0.609242 0.116343i
\(475\) 5.74217 + 21.0244i 0.263469 + 0.964668i
\(476\) 2.54419i 0.116613i
\(477\) 3.95141 13.2358i 0.180923 0.606027i
\(478\) −24.8762 11.6000i −1.13781 0.530570i
\(479\) 1.02271 + 5.80008i 0.0467288 + 0.265012i 0.999217 0.0395630i \(-0.0125966\pi\)
−0.952488 + 0.304575i \(0.901485\pi\)
\(480\) −0.503209 + 3.84015i −0.0229682 + 0.175278i
\(481\) 7.31508 + 2.66247i 0.333539 + 0.121398i
\(482\) −2.29341 + 8.55911i −0.104462 + 0.389857i
\(483\) −0.0534773 0.730177i −0.00243330 0.0332242i
\(484\) 6.28460 + 7.48970i 0.285664 + 0.340441i
\(485\) −35.2796 + 5.17552i −1.60196 + 0.235008i
\(486\) 1.61428 + 15.5046i 0.0732252 + 0.703305i
\(487\) −18.7609 5.02697i −0.850138 0.227794i −0.192658 0.981266i \(-0.561711\pi\)
−0.657480 + 0.753472i \(0.728377\pi\)
\(488\) 5.95281 2.77584i 0.269471 0.125656i
\(489\) −21.3540 8.11642i −0.965663 0.367037i
\(490\) 5.35054 13.4767i 0.241713 0.608813i
\(491\) 7.54624 + 20.7331i 0.340557 + 0.935672i 0.985233 + 0.171217i \(0.0547699\pi\)
−0.644676 + 0.764456i \(0.723008\pi\)
\(492\) 1.41323 13.8859i 0.0637131 0.626026i
\(493\) −0.690444 0.690444i −0.0310960 0.0310960i
\(494\) 10.2837 + 12.8893i 0.462685 + 0.579918i
\(495\) 1.06787 7.34097i 0.0479974 0.329952i
\(496\) −1.97643 1.65842i −0.0887441 0.0744652i
\(497\) −9.25544 4.31588i −0.415163 0.193594i
\(498\) 8.00887 7.78524i 0.358886 0.348865i
\(499\) −0.720284 0.127005i −0.0322443 0.00568554i 0.157503 0.987519i \(-0.449656\pi\)
−0.189747 + 0.981833i \(0.560767\pi\)
\(500\) 10.5036 3.83074i 0.469735 0.171316i
\(501\) −21.8208 + 7.59404i −0.974883 + 0.339277i
\(502\) −5.44257 20.3120i −0.242914 0.906567i
\(503\) 1.31486 15.0289i 0.0586267 0.670106i −0.908846 0.417131i \(-0.863035\pi\)
0.967473 0.252975i \(-0.0814090\pi\)
\(504\) 2.04395 0.679044i 0.0910448 0.0302470i
\(505\) −11.6529 + 38.9543i −0.518549 + 1.73345i
\(506\) 0.563859 0.325544i 0.0250666 0.0144722i
\(507\) −2.19968 + 0.556146i −0.0976911 + 0.0246993i
\(508\) 2.44627 1.71290i 0.108536 0.0759976i
\(509\) −2.87174 16.2864i −0.127287 0.721883i −0.979923 0.199377i \(-0.936108\pi\)
0.852635 0.522506i \(-0.175003\pi\)
\(510\) −12.6834 5.24467i −0.561630 0.232238i
\(511\) 1.39161 + 1.16770i 0.0615610 + 0.0516558i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −22.3799 3.48426i −0.988097 0.153834i
\(514\) 8.68466i 0.383064i
\(515\) −18.3352 + 6.08004i −0.807946 + 0.267919i
\(516\) 10.8257 1.75121i 0.476575 0.0770926i
\(517\) 3.89342 + 2.72620i 0.171232 + 0.119898i
\(518\) 0.847401 + 1.21021i 0.0372326 + 0.0531737i
\(519\) 14.8775 + 8.87272i 0.653050 + 0.389469i
\(520\) 6.15138 5.80605i 0.269756 0.254612i
\(521\) −9.32794 5.38549i −0.408665 0.235943i 0.281551 0.959546i \(-0.409151\pi\)
−0.690216 + 0.723604i \(0.742484\pi\)
\(522\) −0.370409 + 0.738968i −0.0162124 + 0.0323438i
\(523\) −12.5328 1.09648i −0.548020 0.0479456i −0.190216 0.981742i \(-0.560919\pi\)
−0.357804 + 0.933797i \(0.616474\pi\)
\(524\) −0.116152 + 0.201181i −0.00507413 + 0.00878865i
\(525\) −4.46344 4.32835i −0.194801 0.188905i
\(526\) −21.3204 7.76000i −0.929614 0.338352i
\(527\) 7.48958 5.24426i 0.326251 0.228444i
\(528\) 1.33507 + 1.37342i 0.0581014 + 0.0597703i
\(529\) −7.74790 21.2872i −0.336865 0.925530i
\(530\) 4.61868 9.20153i 0.200623 0.399689i
\(531\) 8.06438 20.3450i 0.349964 0.882900i
\(532\) 0.195648 + 3.12327i 0.00848243 + 0.135411i
\(533\) −21.5554 + 21.5554i −0.933668 + 0.933668i
\(534\) 8.27131 6.74322i 0.357935 0.291808i
\(535\) 1.92110 9.31411i 0.0830564 0.402684i
\(536\) 1.45384 0.256352i 0.0627965 0.0110727i
\(537\) 32.9431 14.7975i 1.42160 0.638557i
\(538\) 6.02117 + 12.9124i 0.259591 + 0.556695i
\(539\) −3.58547 6.21021i −0.154437 0.267493i
\(540\) −0.828265 + 11.5894i −0.0356429 + 0.498728i
\(541\) 15.3098 12.8465i 0.658220 0.552312i −0.251332 0.967901i \(-0.580869\pi\)
0.909553 + 0.415588i \(0.136424\pi\)
\(542\) 23.6057 + 2.06523i 1.01395 + 0.0887094i
\(543\) −21.7667 + 1.59417i −0.934098 + 0.0684122i
\(544\) 3.06900 1.77189i 0.131582 0.0759691i
\(545\) 17.6736 + 2.06186i 0.757053 + 0.0883202i
\(546\) −4.39705 1.67127i −0.188176 0.0715235i
\(547\) 5.47759 + 3.83545i 0.234205 + 0.163992i 0.684788 0.728743i \(-0.259895\pi\)
−0.450583 + 0.892735i \(0.648784\pi\)
\(548\) 9.63889 20.6707i 0.411753 0.883007i
\(549\) 17.3368 9.36521i 0.739916 0.399697i
\(550\) 1.73691 5.24933i 0.0740621 0.223832i
\(551\) −0.900691 0.794500i −0.0383707 0.0338469i
\(552\) −0.843552 + 0.573036i −0.0359040 + 0.0243901i
\(553\) 0.487838 + 5.57601i 0.0207450 + 0.237116i
\(554\) 10.4189 3.79217i 0.442657 0.161114i
\(555\) −7.78007 + 1.72973i −0.330245 + 0.0734227i
\(556\) −3.89131 + 22.0687i −0.165028 + 0.935923i
\(557\) 5.19748 + 11.1460i 0.220224 + 0.472273i 0.985117 0.171885i \(-0.0549858\pi\)
−0.764893 + 0.644158i \(0.777208\pi\)
\(558\) −6.21210 4.61728i −0.262979 0.195465i
\(559\) −20.7422 11.9755i −0.877300 0.506509i
\(560\) 1.58834 0.233010i 0.0671198 0.00984648i
\(561\) −5.92576 + 3.31028i −0.250186 + 0.139760i
\(562\) −1.22641 4.57701i −0.0517328 0.193069i
\(563\) −21.7141 5.81826i −0.915138 0.245211i −0.229632 0.973277i \(-0.573752\pi\)
−0.685506 + 0.728067i \(0.740419\pi\)
\(564\) −6.39374 3.81313i −0.269225 0.160562i
\(565\) 5.85165 6.57832i 0.246181 0.276752i
\(566\) 22.1669 3.90862i 0.931744 0.164292i
\(567\) 6.00118 2.39486i 0.252026 0.100575i
\(568\) 1.23975 + 14.1704i 0.0520188 + 0.594578i
\(569\) −16.3464 −0.685277 −0.342638 0.939467i \(-0.611321\pi\)
−0.342638 + 0.939467i \(0.611321\pi\)
\(570\) −15.9736 5.46305i −0.669059 0.228822i
\(571\) 28.7574 1.20346 0.601730 0.798699i \(-0.294478\pi\)
0.601730 + 0.798699i \(0.294478\pi\)
\(572\) −0.364594 4.16733i −0.0152444 0.174245i
\(573\) 11.0223 15.2764i 0.460461 0.638182i
\(574\) −5.69753 + 1.00463i −0.237810 + 0.0419324i
\(575\) 2.59179 + 1.39603i 0.108085 + 0.0582184i
\(576\) −2.24262 1.99266i −0.0934423 0.0830273i
\(577\) 12.2361 + 3.27866i 0.509396 + 0.136492i 0.504358 0.863495i \(-0.331729\pi\)
0.00503896 + 0.999987i \(0.498396\pi\)
\(578\) −1.14958 4.29030i −0.0478163 0.178453i
\(579\) 5.28431 + 9.45951i 0.219609 + 0.393124i
\(580\) −0.367812 + 0.494281i −0.0152725 + 0.0205239i
\(581\) −4.00938 2.31481i −0.166337 0.0960347i
\(582\) 12.0259 24.8644i 0.498490 1.03066i
\(583\) −2.15185 4.61465i −0.0891204 0.191119i
\(584\) 0.439389 2.49190i 0.0181821 0.103116i
\(585\) 17.3959 18.4751i 0.719231 0.763853i
\(586\) −11.9151 + 4.33676i −0.492210 + 0.179150i
\(587\) 0.584936 + 6.68585i 0.0241429 + 0.275955i 0.998665 + 0.0516615i \(0.0164517\pi\)
−0.974522 + 0.224293i \(0.927993\pi\)
\(588\) 6.31129 + 9.29068i 0.260273 + 0.383141i
\(589\) 8.79099 7.01385i 0.362226 0.289001i
\(590\) 8.56048 13.8854i 0.352429 0.571653i
\(591\) −20.7451 + 16.9125i −0.853338 + 0.695688i
\(592\) 0.869686 1.86505i 0.0357439 0.0766530i
\(593\) −13.7990 9.66215i −0.566656 0.396777i 0.254846 0.966982i \(-0.417975\pi\)
−0.821503 + 0.570204i \(0.806864\pi\)
\(594\) 4.24099 + 3.87713i 0.174010 + 0.159080i
\(595\) −0.659223 + 5.65066i −0.0270255 + 0.231654i
\(596\) 3.52189 2.03337i 0.144262 0.0832899i
\(597\) −1.80476 24.6421i −0.0738640 1.00854i
\(598\) 2.21875 + 0.194116i 0.0907316 + 0.00793799i
\(599\) −14.4023 + 12.0850i −0.588462 + 0.493778i −0.887714 0.460396i \(-0.847707\pi\)
0.299252 + 0.954174i \(0.403263\pi\)
\(600\) −2.11265 + 8.39861i −0.0862485 + 0.342872i
\(601\) −15.5189 26.8795i −0.633028 1.09644i −0.986929 0.161154i \(-0.948478\pi\)
0.353901 0.935283i \(-0.384855\pi\)
\(602\) −1.92104 4.11968i −0.0782956 0.167905i
\(603\) 4.30865 1.02468i 0.175462 0.0417284i
\(604\) −0.362504 + 0.0639192i −0.0147501 + 0.00260083i
\(605\) 12.0175 + 18.2631i 0.488580 + 0.742499i
\(606\) −19.9010 24.4108i −0.808424 0.991622i
\(607\) 13.2298 13.2298i 0.536981 0.536981i −0.385660 0.922641i \(-0.626026\pi\)
0.922641 + 0.385660i \(0.126026\pi\)
\(608\) 3.63127 2.41119i 0.147268 0.0977868i
\(609\) 0.336545 + 0.0642676i 0.0136375 + 0.00260426i
\(610\) 13.9405 4.62273i 0.564433 0.187169i
\(611\) 5.56087 + 15.2784i 0.224969 + 0.618097i
\(612\) 8.87783 5.84887i 0.358865 0.236427i
\(613\) −37.3639 + 26.1625i −1.50911 + 1.05669i −0.531307 + 0.847179i \(0.678299\pi\)
−0.977806 + 0.209513i \(0.932812\pi\)
\(614\) 19.6964 + 7.16890i 0.794882 + 0.289313i
\(615\) 6.73676 30.4746i 0.271652 1.22885i
\(616\) 0.396961 0.687556i 0.0159940 0.0277024i
\(617\) 44.6456 + 3.90598i 1.79736 + 0.157249i 0.936289 0.351231i \(-0.114237\pi\)
0.861074 + 0.508480i \(0.169792\pi\)
\(618\) 4.07691 14.3968i 0.163998 0.579123i
\(619\) 37.3904 + 21.5873i 1.50285 + 0.867669i 0.999995 + 0.00329571i \(0.00104906\pi\)
0.502851 + 0.864373i \(0.332284\pi\)
\(620\) −3.95994 4.19546i −0.159035 0.168494i
\(621\) −2.42498 + 1.86522i −0.0973110 + 0.0748487i
\(622\) −18.7109 26.7220i −0.750240 1.07145i
\(623\) −3.62344 2.53716i −0.145170 0.101649i
\(624\) 1.04629 + 6.46801i 0.0418851 + 0.258928i
\(625\) 24.3211 5.78652i 0.972844 0.231461i
\(626\) 29.8936i 1.19479i
\(627\) −7.01996 + 4.51942i −0.280350 + 0.180488i
\(628\) −13.6158 13.6158i −0.543330 0.543330i
\(629\) 5.58643 + 4.68758i 0.222746 + 0.186906i
\(630\) 4.71557 0.978553i 0.187873 0.0389865i
\(631\) 7.77683 + 44.1046i 0.309591 + 1.75578i 0.601067 + 0.799199i \(0.294743\pi\)
−0.291476 + 0.956578i \(0.594146\pi\)
\(632\) 6.38647 4.47185i 0.254040 0.177881i
\(633\) 10.0135 + 39.6054i 0.398000 + 1.57417i
\(634\) −28.5952 + 16.5094i −1.13566 + 0.655673i
\(635\) 5.87702 3.17051i 0.233222 0.125818i
\(636\) 3.88931 + 6.96229i 0.154221 + 0.276073i
\(637\) 2.13794 24.4368i 0.0847085 0.968222i
\(638\) 0.0788620 + 0.294317i 0.00312218 + 0.0116521i
\(639\) 6.21738 + 42.2183i 0.245956 + 1.67013i
\(640\) −1.38727 1.75371i −0.0548366 0.0693213i
\(641\) −34.4812 6.07997i −1.36193 0.240144i −0.555518 0.831504i \(-0.687480\pi\)
−0.806408 + 0.591360i \(0.798591\pi\)
\(642\) 5.13466 + 5.28216i 0.202649 + 0.208470i
\(643\) −0.747835 0.348721i −0.0294917 0.0137522i 0.407816 0.913064i \(-0.366290\pi\)
−0.437308 + 0.899312i \(0.644068\pi\)
\(644\) 0.323805 + 0.271704i 0.0127597 + 0.0107066i
\(645\) 24.4977 1.08440i 0.964595 0.0426982i
\(646\) 4.92298 + 14.6415i 0.193692 + 0.576061i
\(647\) −10.4313 10.4313i −0.410098 0.410098i 0.471674 0.881773i \(-0.343650\pi\)
−0.881773 + 0.471674i \(0.843650\pi\)
\(648\) −7.06836 5.57121i −0.277671 0.218858i
\(649\) −2.75913 7.58065i −0.108305 0.297566i
\(650\) 15.1666 11.3014i 0.594885 0.443277i
\(651\) −1.13986 + 2.99895i −0.0446748 + 0.117538i
\(652\) 11.9535 5.57403i 0.468137 0.218296i
\(653\) −29.6951 7.95678i −1.16206 0.311373i −0.374272 0.927319i \(-0.622107\pi\)
−0.787788 + 0.615946i \(0.788774\pi\)
\(654\) −9.00797 + 10.4317i −0.352240 + 0.407912i
\(655\) −0.310102 + 0.416729i −0.0121167 + 0.0162829i
\(656\) 5.17988 + 6.17314i 0.202240 + 0.241021i
\(657\) 0.875440 7.54038i 0.0341542 0.294178i
\(658\) −0.798641 + 2.98057i −0.0311343 + 0.116195i
\(659\) −1.51837 0.552642i −0.0591473 0.0215279i 0.312277 0.949991i \(-0.398908\pi\)
−0.371424 + 0.928463i \(0.621130\pi\)
\(660\) 2.60933 + 3.39630i 0.101568 + 0.132201i
\(661\) −8.75708 49.6638i −0.340611 1.93170i −0.362608 0.931942i \(-0.618114\pi\)
0.0219974 0.999758i \(-0.492997\pi\)
\(662\) −30.6744 14.3037i −1.19220 0.555930i
\(663\) −23.0998 2.35096i −0.897122 0.0913036i
\(664\) 6.44857i 0.250253i
\(665\) −0.374733 + 6.98749i −0.0145315 + 0.270963i
\(666\) 2.27488 5.73914i 0.0881500 0.222387i
\(667\) −0.161610 + 0.0141390i −0.00625755 + 0.000547465i
\(668\) 5.63747 12.0896i 0.218120 0.467761i
\(669\) 38.6300 + 0.546967i 1.49352 + 0.0211470i
\(670\) 3.29542 0.192654i 0.127313 0.00744288i
\(671\) 2.48423 6.82538i 0.0959028 0.263491i
\(672\) −0.541426 + 1.11944i −0.0208860 + 0.0431831i
\(673\) −18.6813 + 5.00563i −0.720109 + 0.192953i −0.600220 0.799835i \(-0.704921\pi\)
−0.119889 + 0.992787i \(0.538254\pi\)
\(674\) 8.32924 6.98906i 0.320830 0.269208i
\(675\) −4.84250 + 25.5255i −0.186388 + 0.982476i
\(676\) 0.654973 1.13445i 0.0251913 0.0436326i
\(677\) −0.412540 + 1.53962i −0.0158552 + 0.0591724i −0.973400 0.229111i \(-0.926418\pi\)
0.957545 + 0.288284i \(0.0930846\pi\)
\(678\) 1.67166 + 6.61175i 0.0641995 + 0.253923i
\(679\) −11.2745 1.98800i −0.432675 0.0762923i
\(680\) 7.27538 3.14017i 0.278998 0.120420i
\(681\) 1.93055 + 11.9343i 0.0739787 + 0.457325i
\(682\) −2.84227 + 0.248666i −0.108836 + 0.00952192i
\(683\) −13.4128 + 13.4128i −0.513226 + 0.513226i −0.915513 0.402287i \(-0.868215\pi\)
0.402287 + 0.915513i \(0.368215\pi\)
\(684\) 10.4487 7.86283i 0.399517 0.300643i
\(685\) 26.7640 43.4121i 1.02260 1.65869i
\(686\) 6.22283 7.41608i 0.237589 0.283147i
\(687\) −19.7484 + 27.3705i −0.753448 + 1.04425i
\(688\) −3.63158 + 5.18643i −0.138453 + 0.197731i
\(689\) 3.02453 17.1530i 0.115225 0.653476i
\(690\) −2.02201 + 1.05414i −0.0769767 + 0.0401306i
\(691\) −11.8699 20.5593i −0.451553 0.782113i 0.546930 0.837179i \(-0.315797\pi\)
−0.998483 + 0.0550656i \(0.982463\pi\)
\(692\) −9.66031 + 2.58847i −0.367230 + 0.0983990i
\(693\) 1.06729 2.12925i 0.0405430 0.0808834i
\(694\) −17.3050 20.6234i −0.656891 0.782852i
\(695\) −14.3608 + 48.0065i −0.544738 + 1.82099i
\(696\) −0.156861 0.450726i −0.00594579 0.0170847i
\(697\) −25.8818 + 12.0689i −0.980343 + 0.457141i
\(698\) 11.8632 + 16.9424i 0.449028 + 0.641278i
\(699\) −0.323728 + 22.8635i −0.0122445 + 0.864778i
\(700\) 3.58809 0.105962i 0.135617 0.00400500i
\(701\) 6.75387 8.04895i 0.255090 0.304005i −0.623267 0.782009i \(-0.714195\pi\)
0.878358 + 0.478004i \(0.158640\pi\)
\(702\) 4.27663 + 19.1854i 0.161411 + 0.724106i
\(703\) 7.21843 + 5.32491i 0.272248 + 0.200833i
\(704\) −1.10585 −0.0416781
\(705\) −13.2125 10.1257i −0.497612 0.381355i
\(706\) −24.4440 + 8.89687i −0.919960 + 0.334838i
\(707\) −7.48783 + 10.6937i −0.281609 + 0.402179i
\(708\) 5.17726 + 11.5260i 0.194573 + 0.433172i
\(709\) −13.7403 + 37.7512i −0.516029 + 1.41778i 0.358832 + 0.933402i \(0.383175\pi\)
−0.874861 + 0.484375i \(0.839047\pi\)
\(710\) −0.918196 + 31.7938i −0.0344593 + 1.19320i
\(711\) 18.3357 14.5211i 0.687644 0.544582i
\(712\) −0.536994 + 6.13787i −0.0201247 + 0.230027i
\(713\) 0.132394 1.51327i 0.00495820 0.0566724i
\(714\) −3.33526 2.88006i −0.124819 0.107783i
\(715\) 0.270029 9.35012i 0.0100985 0.349675i
\(716\) −7.13124 + 19.5929i −0.266507 + 0.732221i
\(717\) 43.3670 19.4797i 1.61957 0.727483i
\(718\) 6.03410 8.61759i 0.225191 0.321606i
\(719\) −6.54833 + 2.38340i −0.244211 + 0.0888857i −0.461226 0.887283i \(-0.652590\pi\)
0.217015 + 0.976168i \(0.430368\pi\)
\(720\) −4.46454 5.00678i −0.166384 0.186592i
\(721\) −6.20209 −0.230978
\(722\) 7.16942 + 17.5954i 0.266818 + 0.654834i
\(723\) −8.62424 12.6955i −0.320739 0.472152i
\(724\) 8.09955 9.65266i 0.301017 0.358738i
\(725\) −0.944984 + 1.00250i −0.0350958 + 0.0372318i
\(726\) −16.9327 0.239753i −0.628433 0.00889807i
\(727\) 16.0742 + 22.9564i 0.596160 + 0.851405i 0.997928 0.0643367i \(-0.0204932\pi\)
−0.401768 + 0.915741i \(0.631604\pi\)
\(728\) 2.46137 1.14776i 0.0912246 0.0425387i
\(729\) −22.1529 15.4353i −0.820479 0.571677i
\(730\) 1.62156 5.42067i 0.0600166 0.200628i
\(731\) −14.4224 17.1880i −0.533432 0.635720i
\(732\) −3.09973 + 10.9460i −0.114569 + 0.404577i
\(733\) 10.2918 2.75767i 0.380135 0.101857i −0.0636913 0.997970i \(-0.520287\pi\)
0.443827 + 0.896113i \(0.353621\pi\)
\(734\) −2.74934 4.76200i −0.101480 0.175769i
\(735\) 11.6101 + 22.2700i 0.428245 + 0.821440i
\(736\) 0.102239 0.579826i 0.00376858 0.0213727i
\(737\) 0.936380 1.33729i 0.0344920 0.0492597i
\(738\) 16.6037 + 17.5717i 0.611192 + 0.646824i
\(739\) 5.02671 5.99060i 0.184911 0.220368i −0.665624 0.746288i \(-0.731834\pi\)
0.850534 + 0.525920i \(0.176279\pi\)
\(740\) 2.41483 3.91694i 0.0887709 0.143989i
\(741\) −28.5383 1.10968i −1.04838 0.0407651i
\(742\) 2.33742 2.33742i 0.0858094 0.0858094i
\(743\) 27.1369 2.37417i 0.995555 0.0870998i 0.422282 0.906464i \(-0.361229\pi\)
0.573273 + 0.819365i \(0.305674\pi\)
\(744\) 4.41142 0.713608i 0.161730 0.0261621i
\(745\) 8.34900 3.60356i 0.305884 0.132024i
\(746\) −12.2605 2.16185i −0.448888 0.0791510i
\(747\) 1.13977 + 19.3121i 0.0417020 + 0.706593i
\(748\) 1.01428 3.78534i 0.0370857 0.138406i
\(749\) 1.52671 2.64434i 0.0557847 0.0966220i
\(750\) −6.86836 + 18.1060i −0.250797 + 0.661136i
\(751\) 8.59471 7.21182i 0.313626 0.263163i −0.472363 0.881404i \(-0.656599\pi\)
0.785989 + 0.618241i \(0.212154\pi\)
\(752\) 4.15161 1.11242i 0.151394 0.0405658i
\(753\) 32.7887 + 15.8586i 1.19489 + 0.577919i
\(754\) −0.356491 + 0.979450i −0.0129826 + 0.0356695i
\(755\) −0.821684 + 0.0480367i −0.0299042 + 0.00174823i
\(756\) −1.42360 + 3.44817i −0.0517758 + 0.125409i
\(757\) −13.4503 + 28.8444i −0.488861 + 1.04837i 0.494911 + 0.868944i \(0.335201\pi\)
−0.983772 + 0.179422i \(0.942577\pi\)
\(758\) −14.2560 + 1.24724i −0.517801 + 0.0453017i
\(759\) −0.211530 + 1.10770i −0.00767806 + 0.0402071i
\(760\) 8.68984 4.41437i 0.315214 0.160126i
\(761\) 4.13599i 0.149929i −0.997186 0.0749647i \(-0.976116\pi\)
0.997186 0.0749647i \(-0.0238844\pi\)
\(762\) −0.523721 + 5.14593i −0.0189724 + 0.186417i
\(763\) 5.17766 + 2.41438i 0.187444 + 0.0874066i
\(764\) 1.88859 + 10.7107i 0.0683268 + 0.387500i
\(765\) 21.2332 10.6900i 0.767688 0.386499i
\(766\) −3.41052 1.24133i −0.123227 0.0448510i
\(767\) 7.14235 26.6556i 0.257895 0.962479i
\(768\) 1.72742 0.126514i 0.0623330 0.00456520i
\(769\) 10.2373 + 12.2003i 0.369166 + 0.439955i 0.918364 0.395737i \(-0.129511\pi\)
−0.549197 + 0.835693i \(0.685067\pi\)
\(770\) 1.05980 1.42421i 0.0381927 0.0513249i
\(771\) −11.3850 9.83116i −0.410021 0.354060i
\(772\) −6.04267 1.61913i −0.217480 0.0582737i
\(773\) −14.3517 + 6.69230i −0.516194 + 0.240705i −0.663216 0.748428i \(-0.730809\pi\)