Properties

Label 400.2.be.a.141.5
Level $400$
Weight $2$
Character 400.141
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.be (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 141.5
Character \(\chi\) \(=\) 400.141
Dual form 400.2.be.a.261.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38726 - 0.274806i) q^{2} +(0.652342 - 1.28029i) q^{3} +(1.84896 + 0.762452i) q^{4} +(2.03559 + 0.925395i) q^{5} +(-1.25680 + 1.59683i) q^{6} -1.67999i q^{7} +(-2.35546 - 1.56582i) q^{8} +(0.549753 + 0.756670i) q^{9} +O(q^{10})\) \(q+(-1.38726 - 0.274806i) q^{2} +(0.652342 - 1.28029i) q^{3} +(1.84896 + 0.762452i) q^{4} +(2.03559 + 0.925395i) q^{5} +(-1.25680 + 1.59683i) q^{6} -1.67999i q^{7} +(-2.35546 - 1.56582i) q^{8} +(0.549753 + 0.756670i) q^{9} +(-2.56959 - 1.84315i) q^{10} +(-0.376292 + 0.0595987i) q^{11} +(2.18232 - 1.86984i) q^{12} +(5.88037 + 0.931359i) q^{13} +(-0.461671 + 2.33058i) q^{14} +(2.51268 - 2.00249i) q^{15} +(2.83733 + 2.81949i) q^{16} +(1.49793 - 4.61015i) q^{17} +(-0.554712 - 1.20077i) q^{18} +(-5.97303 + 3.04341i) q^{19} +(3.05817 + 3.26306i) q^{20} +(-2.15088 - 1.09593i) q^{21} +(0.538391 + 0.0207282i) q^{22} +(-4.03408 + 5.55244i) q^{23} +(-3.54128 + 1.99423i) q^{24} +(3.28729 + 3.76746i) q^{25} +(-7.90164 - 2.90799i) q^{26} +(5.58504 - 0.884583i) q^{27} +(1.28091 - 3.10624i) q^{28} +(0.964763 - 1.89345i) q^{29} +(-4.03603 + 2.08746i) q^{30} +(1.74337 - 5.36555i) q^{31} +(-3.16130 - 4.69107i) q^{32} +(-0.169167 + 0.520643i) q^{33} +(-3.34491 + 5.98382i) q^{34} +(1.55466 - 3.41978i) q^{35} +(0.439549 + 1.81822i) q^{36} +(0.233235 - 1.47258i) q^{37} +(9.12247 - 2.58057i) q^{38} +(5.02843 - 6.92104i) q^{39} +(-3.34576 - 5.36711i) q^{40} +(-0.668698 - 0.920384i) q^{41} +(2.68266 + 2.11141i) q^{42} +(4.99167 - 4.99167i) q^{43} +(-0.741191 - 0.176708i) q^{44} +(0.418856 + 2.04901i) q^{45} +(7.12215 - 6.59407i) q^{46} +(-1.93439 - 5.95344i) q^{47} +(5.46069 - 1.79335i) q^{48} +4.17763 q^{49} +(-3.52500 - 6.12980i) q^{50} +(-4.92518 - 4.92518i) q^{51} +(10.1625 + 6.20555i) q^{52} +(-12.4980 - 6.36804i) q^{53} +(-7.99097 - 0.307655i) q^{54} +(-0.821130 - 0.226900i) q^{55} +(-2.63057 + 3.95715i) q^{56} +9.63258i q^{57} +(-1.85871 + 2.36159i) q^{58} +(-1.85746 + 11.7275i) q^{59} +(6.17266 - 1.78672i) q^{60} +(-1.35111 - 8.53060i) q^{61} +(-3.89299 + 6.96431i) q^{62} +(1.27120 - 0.923580i) q^{63} +(3.09640 + 7.37647i) q^{64} +(11.1082 + 7.33754i) q^{65} +(0.377754 - 0.675777i) q^{66} +(-1.76611 + 0.899877i) q^{67} +(6.28463 - 7.38190i) q^{68} +(4.47715 + 8.78690i) q^{69} +(-3.09648 + 4.31689i) q^{70} +(-8.22934 + 2.67387i) q^{71} +(-0.110112 - 2.64312i) q^{72} +(-6.36337 + 8.75843i) q^{73} +(-0.728231 + 1.97876i) q^{74} +(6.96789 - 1.75102i) q^{75} +(-13.3644 + 1.07301i) q^{76} +(0.100125 + 0.632167i) q^{77} +(-8.87766 + 8.21942i) q^{78} +(2.52196 + 7.76181i) q^{79} +(3.16652 + 8.36500i) q^{80} +(1.64376 - 5.05899i) q^{81} +(0.674730 + 1.46057i) q^{82} +(6.69130 - 3.40939i) q^{83} +(-3.14131 - 3.66628i) q^{84} +(7.31538 - 7.99822i) q^{85} +(-8.29646 + 5.55299i) q^{86} +(-1.79482 - 2.47036i) q^{87} +(0.979662 + 0.448823i) q^{88} +(-5.91437 + 8.14043i) q^{89} +(-0.0179803 - 2.95761i) q^{90} +(1.56468 - 9.87897i) q^{91} +(-11.6923 + 7.19046i) q^{92} +(-5.73220 - 5.73220i) q^{93} +(1.04746 + 8.79054i) q^{94} +(-14.9750 + 0.667738i) q^{95} +(-8.06821 + 0.987208i) q^{96} +(3.60983 + 11.1099i) q^{97} +(-5.79545 - 1.14804i) q^{98} +(-0.251964 - 0.251964i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} + O(q^{10}) \) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} - 14q^{10} - 6q^{11} + 10q^{12} - 6q^{13} + 6q^{14} - 16q^{15} - 6q^{16} - 12q^{17} - 24q^{18} - 6q^{19} - 22q^{20} + 12q^{21} + 10q^{22} - 16q^{24} + 4q^{26} - 18q^{27} + 18q^{28} - 6q^{29} - 6q^{30} + 12q^{31} - 36q^{32} - 12q^{33} - 30q^{34} + 44q^{35} - 82q^{36} - 6q^{37} - 76q^{38} - 52q^{40} - 10q^{42} - 48q^{43} + 36q^{44} - 12q^{45} - 14q^{46} - 12q^{47} - 116q^{48} - 400q^{49} + 10q^{50} - 4q^{51} + 32q^{52} - 6q^{53} - 30q^{54} + 36q^{56} + 26q^{58} - 6q^{59} + 48q^{60} - 6q^{61} - 34q^{62} + 72q^{63} - 24q^{64} + 16q^{65} + 92q^{66} + 30q^{67} + 28q^{68} - 18q^{69} + 60q^{70} + 22q^{72} + 28q^{74} - 26q^{75} - 76q^{76} + 36q^{77} + 14q^{78} - 52q^{79} - 34q^{80} + 72q^{81} + 56q^{82} - 46q^{83} + 112q^{84} + 2q^{85} - 46q^{86} - 136q^{88} - 42q^{90} + 36q^{91} - 4q^{93} + 50q^{94} - 40q^{95} - 66q^{96} - 12q^{97} - 8q^{98} - 40q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{1}{5}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38726 0.274806i −0.980939 0.194317i
\(3\) 0.652342 1.28029i 0.376630 0.739178i −0.622423 0.782681i \(-0.713852\pi\)
0.999053 + 0.0435027i \(0.0138517\pi\)
\(4\) 1.84896 + 0.762452i 0.924482 + 0.381226i
\(5\) 2.03559 + 0.925395i 0.910345 + 0.413849i
\(6\) −1.25680 + 1.59683i −0.513086 + 0.651903i
\(7\) 1.67999i 0.634977i −0.948262 0.317488i \(-0.897161\pi\)
0.948262 0.317488i \(-0.102839\pi\)
\(8\) −2.35546 1.56582i −0.832782 0.553602i
\(9\) 0.549753 + 0.756670i 0.183251 + 0.252223i
\(10\) −2.56959 1.84315i −0.812575 0.582856i
\(11\) −0.376292 + 0.0595987i −0.113456 + 0.0179697i −0.212904 0.977073i \(-0.568292\pi\)
0.0994481 + 0.995043i \(0.468292\pi\)
\(12\) 2.18232 1.86984i 0.629982 0.539776i
\(13\) 5.88037 + 0.931359i 1.63092 + 0.258313i 0.903724 0.428116i \(-0.140822\pi\)
0.727198 + 0.686428i \(0.240822\pi\)
\(14\) −0.461671 + 2.33058i −0.123387 + 0.622873i
\(15\) 2.51268 2.00249i 0.648772 0.517039i
\(16\) 2.83733 + 2.81949i 0.709334 + 0.704873i
\(17\) 1.49793 4.61015i 0.363301 1.11813i −0.587737 0.809052i \(-0.699981\pi\)
0.951038 0.309073i \(-0.100019\pi\)
\(18\) −0.554712 1.20077i −0.130747 0.283025i
\(19\) −5.97303 + 3.04341i −1.37031 + 0.698206i −0.975385 0.220509i \(-0.929228\pi\)
−0.394921 + 0.918715i \(0.629228\pi\)
\(20\) 3.05817 + 3.26306i 0.683828 + 0.729643i
\(21\) −2.15088 1.09593i −0.469361 0.239151i
\(22\) 0.538391 + 0.0207282i 0.114785 + 0.00441928i
\(23\) −4.03408 + 5.55244i −0.841164 + 1.15776i 0.144577 + 0.989494i \(0.453818\pi\)
−0.985741 + 0.168270i \(0.946182\pi\)
\(24\) −3.54128 + 1.99423i −0.722861 + 0.407071i
\(25\) 3.28729 + 3.76746i 0.657458 + 0.753491i
\(26\) −7.90164 2.90799i −1.54964 0.570304i
\(27\) 5.58504 0.884583i 1.07484 0.170238i
\(28\) 1.28091 3.10624i 0.242070 0.587025i
\(29\) 0.964763 1.89345i 0.179152 0.351606i −0.783915 0.620869i \(-0.786780\pi\)
0.963067 + 0.269263i \(0.0867801\pi\)
\(30\) −4.03603 + 2.08746i −0.736875 + 0.381117i
\(31\) 1.74337 5.36555i 0.313119 0.963681i −0.663403 0.748262i \(-0.730888\pi\)
0.976522 0.215418i \(-0.0691115\pi\)
\(32\) −3.16130 4.69107i −0.558844 0.829273i
\(33\) −0.169167 + 0.520643i −0.0294482 + 0.0906323i
\(34\) −3.34491 + 5.98382i −0.573647 + 1.02622i
\(35\) 1.55466 3.41978i 0.262785 0.578048i
\(36\) 0.439549 + 1.81822i 0.0732582 + 0.303036i
\(37\) 0.233235 1.47258i 0.0383435 0.242091i −0.961071 0.276301i \(-0.910891\pi\)
0.999415 + 0.0342095i \(0.0108913\pi\)
\(38\) 9.12247 2.58057i 1.47986 0.418624i
\(39\) 5.02843 6.92104i 0.805193 1.10825i
\(40\) −3.34576 5.36711i −0.529011 0.848615i
\(41\) −0.668698 0.920384i −0.104433 0.143740i 0.753602 0.657331i \(-0.228315\pi\)
−0.858035 + 0.513591i \(0.828315\pi\)
\(42\) 2.68266 + 2.11141i 0.413943 + 0.325798i
\(43\) 4.99167 4.99167i 0.761222 0.761222i −0.215321 0.976543i \(-0.569080\pi\)
0.976543 + 0.215321i \(0.0690799\pi\)
\(44\) −0.741191 0.176708i −0.111739 0.0266398i
\(45\) 0.418856 + 2.04901i 0.0624393 + 0.305449i
\(46\) 7.12215 6.59407i 1.05010 0.972243i
\(47\) −1.93439 5.95344i −0.282160 0.868399i −0.987236 0.159267i \(-0.949087\pi\)
0.705076 0.709132i \(-0.250913\pi\)
\(48\) 5.46069 1.79335i 0.788183 0.258848i
\(49\) 4.17763 0.596804
\(50\) −3.52500 6.12980i −0.498510 0.866884i
\(51\) −4.92518 4.92518i −0.689664 0.689664i
\(52\) 10.1625 + 6.20555i 1.40928 + 0.860555i
\(53\) −12.4980 6.36804i −1.71673 0.874717i −0.980122 0.198397i \(-0.936426\pi\)
−0.736608 0.676320i \(-0.763574\pi\)
\(54\) −7.99097 0.307655i −1.08743 0.0418666i
\(55\) −0.821130 0.226900i −0.110721 0.0305951i
\(56\) −2.63057 + 3.95715i −0.351524 + 0.528797i
\(57\) 9.63258i 1.27587i
\(58\) −1.85871 + 2.36159i −0.244060 + 0.310091i
\(59\) −1.85746 + 11.7275i −0.241820 + 1.52679i 0.505790 + 0.862657i \(0.331201\pi\)
−0.747611 + 0.664137i \(0.768799\pi\)
\(60\) 6.17266 1.78672i 0.796887 0.230665i
\(61\) −1.35111 8.53060i −0.172993 1.09223i −0.909470 0.415770i \(-0.863512\pi\)
0.736477 0.676462i \(-0.236488\pi\)
\(62\) −3.89299 + 6.96431i −0.494410 + 0.884468i
\(63\) 1.27120 0.923580i 0.160156 0.116360i
\(64\) 3.09640 + 7.37647i 0.387050 + 0.922059i
\(65\) 11.1082 + 7.33754i 1.37780 + 0.910109i
\(66\) 0.377754 0.675777i 0.0464983 0.0831824i
\(67\) −1.76611 + 0.899877i −0.215765 + 0.109938i −0.558533 0.829483i \(-0.688635\pi\)
0.342768 + 0.939420i \(0.388635\pi\)
\(68\) 6.28463 7.38190i 0.762123 0.895187i
\(69\) 4.47715 + 8.78690i 0.538986 + 1.05782i
\(70\) −3.09648 + 4.31689i −0.370100 + 0.515967i
\(71\) −8.22934 + 2.67387i −0.976643 + 0.317331i −0.753495 0.657454i \(-0.771633\pi\)
−0.223148 + 0.974784i \(0.571633\pi\)
\(72\) −0.110112 2.64312i −0.0129768 0.311495i
\(73\) −6.36337 + 8.75843i −0.744776 + 1.02510i 0.253553 + 0.967321i \(0.418401\pi\)
−0.998330 + 0.0577753i \(0.981599\pi\)
\(74\) −0.728231 + 1.97876i −0.0846551 + 0.230026i
\(75\) 6.96789 1.75102i 0.804583 0.202191i
\(76\) −13.3644 + 1.07301i −1.53300 + 0.123083i
\(77\) 0.100125 + 0.632167i 0.0114103 + 0.0720421i
\(78\) −8.87766 + 8.21942i −1.00520 + 0.930666i
\(79\) 2.52196 + 7.76181i 0.283743 + 0.873272i 0.986773 + 0.162111i \(0.0518302\pi\)
−0.703029 + 0.711161i \(0.748170\pi\)
\(80\) 3.16652 + 8.36500i 0.354028 + 0.935235i
\(81\) 1.64376 5.05899i 0.182640 0.562110i
\(82\) 0.674730 + 1.46057i 0.0745114 + 0.161293i
\(83\) 6.69130 3.40939i 0.734465 0.374229i −0.0464044 0.998923i \(-0.514776\pi\)
0.780870 + 0.624694i \(0.214776\pi\)
\(84\) −3.14131 3.66628i −0.342745 0.400024i
\(85\) 7.31538 7.99822i 0.793465 0.867528i
\(86\) −8.29646 + 5.55299i −0.894630 + 0.598794i
\(87\) −1.79482 2.47036i −0.192425 0.264851i
\(88\) 0.979662 + 0.448823i 0.104432 + 0.0478447i
\(89\) −5.91437 + 8.14043i −0.626922 + 0.862884i −0.997834 0.0657841i \(-0.979045\pi\)
0.370912 + 0.928668i \(0.379045\pi\)
\(90\) −0.0179803 2.95761i −0.00189529 0.311760i
\(91\) 1.56468 9.87897i 0.164023 1.03560i
\(92\) −11.6923 + 7.19046i −1.21901 + 0.749658i
\(93\) −5.73220 5.73220i −0.594402 0.594402i
\(94\) 1.04746 + 8.79054i 0.108037 + 0.906675i
\(95\) −14.9750 + 0.667738i −1.53640 + 0.0685084i
\(96\) −8.06821 + 0.987208i −0.823458 + 0.100756i
\(97\) 3.60983 + 11.1099i 0.366522 + 1.12804i 0.949022 + 0.315209i \(0.102075\pi\)
−0.582500 + 0.812831i \(0.697925\pi\)
\(98\) −5.79545 1.14804i −0.585429 0.115969i
\(99\) −0.251964 0.251964i −0.0253233 0.0253233i
\(100\) 3.20557 + 9.47229i 0.320557 + 0.947229i
\(101\) −0.707455 + 0.707455i −0.0703944 + 0.0703944i −0.741427 0.671033i \(-0.765851\pi\)
0.671033 + 0.741427i \(0.265851\pi\)
\(102\) 5.47903 + 8.18596i 0.542505 + 0.810531i
\(103\) 6.40948 2.08257i 0.631545 0.205201i 0.0242857 0.999705i \(-0.492269\pi\)
0.607259 + 0.794504i \(0.292269\pi\)
\(104\) −12.3926 11.4014i −1.21520 1.11800i
\(105\) −3.36416 4.22128i −0.328308 0.411955i
\(106\) 15.5879 + 12.2686i 1.51403 + 1.19163i
\(107\) −1.26842 + 1.26842i −0.122623 + 0.122623i −0.765755 0.643132i \(-0.777635\pi\)
0.643132 + 0.765755i \(0.277635\pi\)
\(108\) 11.0010 + 2.62276i 1.05857 + 0.252375i
\(109\) −4.76272 0.754340i −0.456185 0.0722527i −0.0758869 0.997116i \(-0.524179\pi\)
−0.380299 + 0.924864i \(0.624179\pi\)
\(110\) 1.07676 + 0.540419i 0.102665 + 0.0515269i
\(111\) −1.73319 1.25924i −0.164507 0.119522i
\(112\) 4.73672 4.76670i 0.447578 0.450410i
\(113\) −16.0723 + 11.6772i −1.51196 + 1.09850i −0.546655 + 0.837358i \(0.684099\pi\)
−0.965300 + 0.261142i \(0.915901\pi\)
\(114\) 2.64708 13.3629i 0.247922 1.25155i
\(115\) −13.3500 + 7.56939i −1.24489 + 0.705849i
\(116\) 3.22748 2.76534i 0.299664 0.256756i
\(117\) 2.52802 + 4.96152i 0.233716 + 0.458693i
\(118\) 5.79956 15.7587i 0.533893 1.45070i
\(119\) −7.74501 2.51651i −0.709984 0.230688i
\(120\) −9.05406 + 0.782365i −0.826519 + 0.0714198i
\(121\) −10.3236 + 3.35433i −0.938507 + 0.304939i
\(122\) −0.469913 + 12.2054i −0.0425440 + 1.10503i
\(123\) −1.61458 + 0.255725i −0.145582 + 0.0230579i
\(124\) 7.31440 8.59147i 0.656853 0.771536i
\(125\) 3.20520 + 10.7111i 0.286682 + 0.958026i
\(126\) −2.01729 + 0.931911i −0.179714 + 0.0830212i
\(127\) −6.55323 4.76120i −0.581505 0.422488i 0.257761 0.966209i \(-0.417015\pi\)
−0.839266 + 0.543721i \(0.817015\pi\)
\(128\) −2.26841 11.0840i −0.200501 0.979693i
\(129\) −3.13452 9.64708i −0.275980 0.849378i
\(130\) −13.3935 13.2316i −1.17469 1.16049i
\(131\) 1.36898 0.697532i 0.119609 0.0609437i −0.393162 0.919469i \(-0.628619\pi\)
0.512771 + 0.858525i \(0.328619\pi\)
\(132\) −0.709749 + 0.833668i −0.0617757 + 0.0725615i
\(133\) 5.11290 + 10.0346i 0.443345 + 0.870113i
\(134\) 2.69734 0.763025i 0.233015 0.0659153i
\(135\) 12.1875 + 3.36771i 1.04893 + 0.289847i
\(136\) −10.7470 + 8.51354i −0.921546 + 0.730030i
\(137\) 4.31596 + 5.94041i 0.368737 + 0.507524i 0.952557 0.304360i \(-0.0984425\pi\)
−0.583820 + 0.811883i \(0.698443\pi\)
\(138\) −3.79627 13.4200i −0.323160 1.14239i
\(139\) 14.4540 2.28928i 1.22597 0.194174i 0.490323 0.871541i \(-0.336879\pi\)
0.735646 + 0.677366i \(0.236879\pi\)
\(140\) 5.48192 5.13770i 0.463307 0.434215i
\(141\) −8.88405 1.40709i −0.748172 0.118499i
\(142\) 12.1510 1.44788i 1.01969 0.121504i
\(143\) −2.26824 −0.189680
\(144\) −0.573592 + 3.69695i −0.0477993 + 0.308079i
\(145\) 3.71606 2.96152i 0.308602 0.245941i
\(146\) 11.2345 10.4015i 0.929774 0.860835i
\(147\) 2.72525 5.34860i 0.224774 0.441145i
\(148\) 1.55402 2.54493i 0.127739 0.209192i
\(149\) 2.75851 2.75851i 0.225986 0.225986i −0.585028 0.811013i \(-0.698916\pi\)
0.811013 + 0.585028i \(0.198916\pi\)
\(150\) −10.1474 + 0.514305i −0.828536 + 0.0419928i
\(151\) 12.5085i 1.01792i 0.860789 + 0.508962i \(0.169971\pi\)
−0.860789 + 0.508962i \(0.830029\pi\)
\(152\) 18.8347 + 2.18406i 1.52769 + 0.177151i
\(153\) 4.31185 1.40101i 0.348593 0.113265i
\(154\) 0.0348233 0.904492i 0.00280614 0.0728861i
\(155\) 8.51405 9.30877i 0.683865 0.747698i
\(156\) 14.5743 8.96282i 1.16688 0.717600i
\(157\) −8.14071 8.14071i −0.649700 0.649700i 0.303221 0.952920i \(-0.401938\pi\)
−0.952920 + 0.303221i \(0.901938\pi\)
\(158\) −1.36563 11.4607i −0.108643 0.911762i
\(159\) −16.3059 + 11.8469i −1.29314 + 0.939524i
\(160\) −2.09403 12.4746i −0.165548 0.986202i
\(161\) 9.32804 + 6.77722i 0.735153 + 0.534120i
\(162\) −3.67056 + 6.56640i −0.288387 + 0.515905i
\(163\) 3.89067 + 0.616221i 0.304740 + 0.0482661i 0.306932 0.951731i \(-0.400698\pi\)
−0.00219154 + 0.999998i \(0.500698\pi\)
\(164\) −0.534650 2.21161i −0.0417492 0.172698i
\(165\) −0.826156 + 0.903271i −0.0643161 + 0.0703196i
\(166\) −10.2195 + 2.89089i −0.793184 + 0.224377i
\(167\) −7.60821 2.47206i −0.588741 0.191294i −0.000528319 1.00000i \(-0.500168\pi\)
−0.588213 + 0.808706i \(0.700168\pi\)
\(168\) 3.35029 + 5.94932i 0.258481 + 0.459000i
\(169\) 21.3476 + 6.93626i 1.64212 + 0.533558i
\(170\) −12.3463 + 9.08528i −0.946916 + 0.696809i
\(171\) −5.58655 2.84649i −0.427214 0.217676i
\(172\) 13.0353 5.42350i 0.993933 0.413538i
\(173\) −0.459961 2.90408i −0.0349702 0.220793i 0.964014 0.265851i \(-0.0856529\pi\)
−0.998984 + 0.0450576i \(0.985653\pi\)
\(174\) 1.81101 + 3.92025i 0.137292 + 0.297194i
\(175\) 6.32929 5.52261i 0.478450 0.417470i
\(176\) −1.23570 0.891849i −0.0931447 0.0672257i
\(177\) 13.8030 + 10.0285i 1.03750 + 0.753785i
\(178\) 10.4418 9.66757i 0.782645 0.724615i
\(179\) −2.28630 + 4.48712i −0.170886 + 0.335383i −0.960527 0.278186i \(-0.910267\pi\)
0.789641 + 0.613569i \(0.210267\pi\)
\(180\) −0.787824 + 4.10791i −0.0587210 + 0.306185i
\(181\) 2.53106 + 4.96749i 0.188132 + 0.369230i 0.965737 0.259523i \(-0.0835654\pi\)
−0.777605 + 0.628754i \(0.783565\pi\)
\(182\) −4.88540 + 13.2747i −0.362130 + 0.983985i
\(183\) −11.8031 3.83505i −0.872508 0.283495i
\(184\) 18.1963 6.76190i 1.34145 0.498494i
\(185\) 1.83749 2.78175i 0.135095 0.204518i
\(186\) 6.37680 + 9.52728i 0.467570 + 0.698574i
\(187\) −0.288899 + 1.82404i −0.0211264 + 0.133387i
\(188\) 0.962594 12.4826i 0.0702044 0.910386i
\(189\) −1.48609 9.38282i −0.108097 0.682499i
\(190\) 20.9577 + 3.18889i 1.52043 + 0.231347i
\(191\) −3.39658 + 2.46776i −0.245768 + 0.178561i −0.703849 0.710350i \(-0.748537\pi\)
0.458081 + 0.888910i \(0.348537\pi\)
\(192\) 11.4640 + 0.847677i 0.827340 + 0.0611758i
\(193\) −14.8056 −1.06573 −0.532864 0.846201i \(-0.678884\pi\)
−0.532864 + 0.846201i \(0.678884\pi\)
\(194\) −1.95469 16.4043i −0.140339 1.17776i
\(195\) 16.6405 9.43515i 1.19165 0.675665i
\(196\) 7.72429 + 3.18524i 0.551735 + 0.227517i
\(197\) −17.4493 8.89088i −1.24321 0.633449i −0.296349 0.955080i \(-0.595769\pi\)
−0.946865 + 0.321631i \(0.895769\pi\)
\(198\) 0.280298 + 0.418780i 0.0199199 + 0.0297614i
\(199\) 4.95595i 0.351318i 0.984451 + 0.175659i \(0.0562056\pi\)
−0.984451 + 0.175659i \(0.943794\pi\)
\(200\) −1.84392 14.0214i −0.130385 0.991463i
\(201\) 2.84817i 0.200894i
\(202\) 1.17583 0.787009i 0.0827314 0.0553738i
\(203\) −3.18099 1.62079i −0.223261 0.113757i
\(204\) −5.35127 12.8617i −0.374664 0.900499i
\(205\) −0.509480 2.49234i −0.0355836 0.174072i
\(206\) −9.46390 + 1.12769i −0.659381 + 0.0785702i
\(207\) −6.41911 −0.446159
\(208\) 14.0586 + 19.2222i 0.974790 + 1.33282i
\(209\) 2.06622 1.50119i 0.142923 0.103840i
\(210\) 3.50692 + 6.78049i 0.242000 + 0.467899i
\(211\) 1.50907 + 9.52787i 0.103888 + 0.655925i 0.983593 + 0.180404i \(0.0577405\pi\)
−0.879704 + 0.475521i \(0.842259\pi\)
\(212\) −18.2530 21.3034i −1.25362 1.46312i
\(213\) −1.94500 + 12.2803i −0.133269 + 0.841430i
\(214\) 2.10819 1.41106i 0.144113 0.0964577i
\(215\) 14.7803 5.54174i 1.00801 0.377944i
\(216\) −14.5404 6.66157i −0.989352 0.453263i
\(217\) −9.01407 2.92885i −0.611915 0.198823i
\(218\) 6.39981 + 2.35528i 0.433450 + 0.159520i
\(219\) 7.06227 + 13.8605i 0.477224 + 0.936605i
\(220\) −1.34524 1.04560i −0.0906960 0.0704944i
\(221\) 13.1021 25.7143i 0.881341 1.72973i
\(222\) 2.05834 + 2.22318i 0.138147 + 0.149210i
\(223\) −11.9341 8.67065i −0.799168 0.580629i 0.111502 0.993764i \(-0.464434\pi\)
−0.910670 + 0.413135i \(0.864434\pi\)
\(224\) −7.88096 + 5.31096i −0.526569 + 0.354853i
\(225\) −1.04353 + 4.55857i −0.0695684 + 0.303904i
\(226\) 25.5054 11.7825i 1.69659 0.783763i
\(227\) −1.47409 9.30707i −0.0978391 0.617732i −0.987072 0.160277i \(-0.948761\pi\)
0.889233 0.457455i \(-0.151239\pi\)
\(228\) −7.34437 + 17.8103i −0.486393 + 1.17951i
\(229\) −11.1603 5.68643i −0.737490 0.375770i 0.0445424 0.999007i \(-0.485817\pi\)
−0.782033 + 0.623237i \(0.785817\pi\)
\(230\) 20.5999 6.83205i 1.35832 0.450492i
\(231\) 0.874675 + 0.284199i 0.0575494 + 0.0186989i
\(232\) −5.23728 + 2.94931i −0.343844 + 0.193632i
\(233\) −4.91389 1.59662i −0.321919 0.104598i 0.143600 0.989636i \(-0.454132\pi\)
−0.465519 + 0.885038i \(0.654132\pi\)
\(234\) −2.14356 7.57762i −0.140129 0.495364i
\(235\) 1.57165 13.9089i 0.102523 0.907315i
\(236\) −12.3760 + 20.2676i −0.805612 + 1.31931i
\(237\) 11.5826 + 1.83450i 0.752370 + 0.119164i
\(238\) 10.0528 + 5.61941i 0.651624 + 0.364252i
\(239\) 4.01636 + 2.91806i 0.259797 + 0.188753i 0.710057 0.704144i \(-0.248669\pi\)
−0.450261 + 0.892897i \(0.648669\pi\)
\(240\) 12.7753 + 1.40277i 0.824643 + 0.0905481i
\(241\) 4.35384 3.16325i 0.280455 0.203763i −0.438661 0.898653i \(-0.644547\pi\)
0.719116 + 0.694890i \(0.244547\pi\)
\(242\) 15.2432 1.81635i 0.979873 0.116759i
\(243\) 6.59065 + 6.59065i 0.422790 + 0.422790i
\(244\) 4.00601 16.8029i 0.256459 1.07570i
\(245\) 8.50396 + 3.86596i 0.543298 + 0.246987i
\(246\) 2.31012 + 0.0889403i 0.147288 + 0.00567062i
\(247\) −37.9581 + 12.3333i −2.41522 + 0.784752i
\(248\) −12.5079 + 9.90853i −0.794255 + 0.629193i
\(249\) 10.7909i 0.683846i
\(250\) −1.50298 15.7398i −0.0950567 0.995472i
\(251\) 19.7796 19.7796i 1.24848 1.24848i 0.292086 0.956392i \(-0.405651\pi\)
0.956392 0.292086i \(-0.0943494\pi\)
\(252\) 3.05459 0.738439i 0.192421 0.0465173i
\(253\) 1.18707 2.32976i 0.0746306 0.146471i
\(254\) 7.78261 + 8.40587i 0.488324 + 0.527431i
\(255\) −5.46794 14.5834i −0.342415 0.913249i
\(256\) 0.100936 + 15.9997i 0.00630852 + 0.999980i
\(257\) −5.63837 −0.351712 −0.175856 0.984416i \(-0.556269\pi\)
−0.175856 + 0.984416i \(0.556269\pi\)
\(258\) 1.69732 + 14.2444i 0.105671 + 0.886815i
\(259\) −2.47393 0.391832i −0.153722 0.0243472i
\(260\) 14.9441 + 22.0363i 0.926794 + 1.36663i
\(261\) 1.96310 0.310925i 0.121513 0.0192458i
\(262\) −2.09082 + 0.591452i −0.129171 + 0.0365400i
\(263\) 17.2282 + 23.7125i 1.06233 + 1.46218i 0.877603 + 0.479388i \(0.159141\pi\)
0.184731 + 0.982789i \(0.440859\pi\)
\(264\) 1.21370 0.961469i 0.0746981 0.0591743i
\(265\) −19.5479 24.5283i −1.20082 1.50676i
\(266\) −4.33533 15.3257i −0.265816 0.939677i
\(267\) 6.56395 + 12.8825i 0.401707 + 0.788395i
\(268\) −3.95158 + 0.317268i −0.241381 + 0.0193802i
\(269\) 12.7237 6.48302i 0.775775 0.395277i −0.0208257 0.999783i \(-0.506630\pi\)
0.796600 + 0.604506i \(0.206630\pi\)
\(270\) −15.9817 8.02107i −0.972614 0.488147i
\(271\) 6.63495 + 20.4203i 0.403044 + 1.24044i 0.922517 + 0.385956i \(0.126128\pi\)
−0.519473 + 0.854487i \(0.673872\pi\)
\(272\) 17.2484 8.85714i 1.04584 0.537043i
\(273\) −11.6273 8.44772i −0.703715 0.511279i
\(274\) −4.35489 9.42693i −0.263088 0.569501i
\(275\) −1.46151 1.22174i −0.0881327 0.0736740i
\(276\) 1.57850 + 19.6603i 0.0950145 + 1.18341i
\(277\) −13.6789 + 2.16653i −0.821888 + 0.130174i −0.553195 0.833052i \(-0.686592\pi\)
−0.268693 + 0.963226i \(0.586592\pi\)
\(278\) −20.6805 0.796205i −1.24033 0.0477532i
\(279\) 5.01838 1.63057i 0.300442 0.0976196i
\(280\) −9.01670 + 5.62085i −0.538851 + 0.335910i
\(281\) −5.02896 1.63401i −0.300003 0.0974768i 0.155148 0.987891i \(-0.450415\pi\)
−0.455151 + 0.890414i \(0.650415\pi\)
\(282\) 11.9378 + 4.39339i 0.710884 + 0.261622i
\(283\) 4.50687 + 8.84523i 0.267906 + 0.525795i 0.985292 0.170881i \(-0.0546615\pi\)
−0.717386 + 0.696676i \(0.754662\pi\)
\(284\) −17.2545 1.33058i −1.02386 0.0789552i
\(285\) −8.91394 + 19.6080i −0.528016 + 1.16148i
\(286\) 3.14664 + 0.623326i 0.186064 + 0.0368580i
\(287\) −1.54624 + 1.12341i −0.0912715 + 0.0663126i
\(288\) 1.81166 4.97100i 0.106753 0.292919i
\(289\) −5.25639 3.81899i −0.309200 0.224647i
\(290\) −5.96897 + 3.08719i −0.350510 + 0.181286i
\(291\) 16.5788 + 2.62582i 0.971865 + 0.153928i
\(292\) −18.4435 + 11.3423i −1.07933 + 0.663755i
\(293\) 19.3113 19.3113i 1.12818 1.12818i 0.137708 0.990473i \(-0.456026\pi\)
0.990473 0.137708i \(-0.0439735\pi\)
\(294\) −5.25044 + 6.67096i −0.306212 + 0.389059i
\(295\) −14.6336 + 22.1536i −0.852002 + 1.28983i
\(296\) −2.85518 + 3.10341i −0.165954 + 0.180382i
\(297\) −2.04888 + 0.665723i −0.118888 + 0.0386291i
\(298\) −4.58481 + 3.06871i −0.265591 + 0.177765i
\(299\) −28.8932 + 28.8932i −1.67094 + 1.67094i
\(300\) 14.2185 + 2.07510i 0.820903 + 0.119806i
\(301\) −8.38595 8.38595i −0.483358 0.483358i
\(302\) 3.43740 17.3525i 0.197800 0.998522i
\(303\) 0.444248 + 1.36725i 0.0255214 + 0.0785467i
\(304\) −25.5283 8.20573i −1.46415 0.470631i
\(305\) 5.14386 18.6152i 0.294536 1.06590i
\(306\) −6.36665 + 0.758634i −0.363957 + 0.0433682i
\(307\) −17.4595 17.4595i −0.996464 0.996464i 0.00353025 0.999994i \(-0.498876\pi\)
−0.999994 + 0.00353025i \(0.998876\pi\)
\(308\) −0.296868 + 1.24519i −0.0169156 + 0.0709515i
\(309\) 1.51488 9.56457i 0.0861785 0.544110i
\(310\) −14.3693 + 10.5739i −0.816120 + 0.600560i
\(311\) 8.00946 11.0241i 0.454175 0.625118i −0.519113 0.854706i \(-0.673738\pi\)
0.973288 + 0.229587i \(0.0737376\pi\)
\(312\) −22.6814 + 8.42862i −1.28408 + 0.477177i
\(313\) −19.2730 26.5270i −1.08938 1.49940i −0.848761 0.528776i \(-0.822651\pi\)
−0.240614 0.970621i \(-0.577349\pi\)
\(314\) 9.05615 + 13.5304i 0.511068 + 0.763563i
\(315\) 3.44232 0.703674i 0.193953 0.0396475i
\(316\) −1.25498 + 16.2742i −0.0705983 + 0.915494i
\(317\) 10.6633 5.43321i 0.598910 0.305160i −0.128128 0.991758i \(-0.540897\pi\)
0.727037 + 0.686598i \(0.240897\pi\)
\(318\) 25.8761 11.9538i 1.45106 0.670336i
\(319\) −0.250185 + 0.769990i −0.0140077 + 0.0431111i
\(320\) −0.523126 + 17.8809i −0.0292436 + 0.999572i
\(321\) 0.796506 + 2.45139i 0.0444566 + 0.136823i
\(322\) −11.0780 11.9651i −0.617352 0.666791i
\(323\) 5.08340 + 32.0953i 0.282848 + 1.78583i
\(324\) 6.89649 8.10059i 0.383139 0.450033i
\(325\) 15.8216 + 25.2157i 0.877626 + 1.39872i
\(326\) −5.22801 1.92403i −0.289553 0.106562i
\(327\) −4.07270 + 5.60559i −0.225221 + 0.309990i
\(328\) 0.133936 + 3.21499i 0.00739536 + 0.177518i
\(329\) −10.0017 + 3.24976i −0.551413 + 0.179165i
\(330\) 1.39431 1.02604i 0.0767545 0.0564815i
\(331\) −5.43522 10.6672i −0.298747 0.586324i 0.692023 0.721875i \(-0.256719\pi\)
−0.990770 + 0.135551i \(0.956719\pi\)
\(332\) 14.9715 1.20204i 0.821665 0.0659705i
\(333\) 1.24248 0.633077i 0.0680876 0.0346924i
\(334\) 9.87521 + 5.52016i 0.540347 + 0.302050i
\(335\) −4.42782 + 0.197437i −0.241918 + 0.0107871i
\(336\) −3.01281 9.17391i −0.164362 0.500478i
\(337\) 16.5517 12.0255i 0.901631 0.655073i −0.0372537 0.999306i \(-0.511861\pi\)
0.938884 + 0.344233i \(0.111861\pi\)
\(338\) −27.7085 15.4888i −1.50714 0.842480i
\(339\) 4.46562 + 28.1948i 0.242539 + 1.53133i
\(340\) 19.6241 9.21079i 1.06427 0.499525i
\(341\) −0.336236 + 2.12291i −0.0182082 + 0.114962i
\(342\) 6.96775 + 5.48402i 0.376773 + 0.296542i
\(343\) 18.7783i 1.01393i
\(344\) −19.5737 + 3.94162i −1.05535 + 0.212518i
\(345\) 0.982307 + 22.0297i 0.0528856 + 1.18604i
\(346\) −0.159973 + 4.15511i −0.00860021 + 0.223380i
\(347\) 3.62588 + 1.84748i 0.194647 + 0.0991778i 0.548598 0.836086i \(-0.315162\pi\)
−0.353950 + 0.935264i \(0.615162\pi\)
\(348\) −1.43503 5.93607i −0.0769257 0.318207i
\(349\) 3.06654 + 3.06654i 0.164148 + 0.164148i 0.784402 0.620253i \(-0.212970\pi\)
−0.620253 + 0.784402i \(0.712970\pi\)
\(350\) −10.2980 + 5.92196i −0.550451 + 0.316542i
\(351\) 33.6660 1.79696
\(352\) 1.46915 + 1.57680i 0.0783061 + 0.0840439i
\(353\) 6.30378 + 19.4010i 0.335516 + 1.03261i 0.966467 + 0.256790i \(0.0826649\pi\)
−0.630951 + 0.775823i \(0.717335\pi\)
\(354\) −16.3924 17.7052i −0.871247 0.941020i
\(355\) −19.2260 2.17247i −1.02041 0.115303i
\(356\) −17.1421 + 10.5419i −0.908532 + 0.558722i
\(357\) −8.27427 + 8.27427i −0.437921 + 0.437921i
\(358\) 4.40477 5.59650i 0.232799 0.295784i
\(359\) −3.58436 4.93344i −0.189175 0.260377i 0.703886 0.710313i \(-0.251447\pi\)
−0.893061 + 0.449936i \(0.851447\pi\)
\(360\) 2.22179 5.48222i 0.117099 0.288939i
\(361\) 15.2468 20.9854i 0.802462 1.10449i
\(362\) −2.14614 7.58673i −0.112799 0.398750i
\(363\) −2.43997 + 15.4054i −0.128065 + 0.808573i
\(364\) 10.4253 17.0729i 0.546432 0.894861i
\(365\) −21.0582 + 11.9400i −1.10224 + 0.624967i
\(366\) 15.3200 + 8.56375i 0.800789 + 0.447634i
\(367\) 2.84795 8.76509i 0.148662 0.457534i −0.848802 0.528711i \(-0.822676\pi\)
0.997464 + 0.0711771i \(0.0226756\pi\)
\(368\) −27.1011 + 4.38006i −1.41274 + 0.228327i
\(369\) 0.328808 1.01197i 0.0171171 0.0526810i
\(370\) −3.31352 + 3.35405i −0.172262 + 0.174369i
\(371\) −10.6982 + 20.9965i −0.555425 + 1.09008i
\(372\) −6.22811 14.9692i −0.322912 0.776115i
\(373\) −16.1099 + 2.55155i −0.834136 + 0.132114i −0.558872 0.829254i \(-0.688766\pi\)
−0.275265 + 0.961368i \(0.588766\pi\)
\(374\) 0.902032 2.45101i 0.0466429 0.126739i
\(375\) 15.8042 + 2.88368i 0.816125 + 0.148912i
\(376\) −4.76565 + 17.0520i −0.245770 + 0.879391i
\(377\) 7.43665 10.2357i 0.383007 0.527164i
\(378\) −0.516858 + 13.4248i −0.0265843 + 0.690495i
\(379\) −27.1502 13.8337i −1.39461 0.710591i −0.414689 0.909963i \(-0.636110\pi\)
−0.979924 + 0.199373i \(0.936110\pi\)
\(380\) −28.1974 10.1831i −1.44649 0.522382i
\(381\) −10.3707 + 5.28413i −0.531306 + 0.270714i
\(382\) 5.39008 2.49002i 0.275781 0.127400i
\(383\) −2.76665 + 8.51487i −0.141369 + 0.435089i −0.996526 0.0832795i \(-0.973461\pi\)
0.855157 + 0.518369i \(0.173461\pi\)
\(384\) −15.6705 4.32631i −0.799683 0.220776i
\(385\) −0.381189 + 1.37949i −0.0194272 + 0.0703053i
\(386\) 20.5391 + 4.06865i 1.04541 + 0.207089i
\(387\) 6.52123 + 1.03286i 0.331493 + 0.0525033i
\(388\) −1.79633 + 23.2941i −0.0911946 + 1.18258i
\(389\) 32.8886 5.20905i 1.66752 0.264109i 0.749895 0.661556i \(-0.230104\pi\)
0.917625 + 0.397447i \(0.130104\pi\)
\(390\) −25.6775 + 8.51606i −1.30023 + 0.431227i
\(391\) 19.5548 + 26.9149i 0.988929 + 1.36114i
\(392\) −9.84025 6.54143i −0.497008 0.330392i
\(393\) 2.20773i 0.111365i
\(394\) 21.7635 + 17.1291i 1.09643 + 0.862952i
\(395\) −2.04904 + 18.1337i −0.103098 + 0.912406i
\(396\) −0.273762 0.657983i −0.0137571 0.0330649i
\(397\) −8.71367 + 17.1015i −0.437327 + 0.858302i 0.562184 + 0.827012i \(0.309961\pi\)
−0.999510 + 0.0312895i \(0.990039\pi\)
\(398\) 1.36192 6.87517i 0.0682670 0.344621i
\(399\) 16.1826 0.810145
\(400\) −1.29518 + 19.9580i −0.0647588 + 0.997901i
\(401\) −2.74609 −0.137133 −0.0685667 0.997647i \(-0.521843\pi\)
−0.0685667 + 0.997647i \(0.521843\pi\)
\(402\) 0.782692 3.95114i 0.0390371 0.197065i
\(403\) 15.2489 29.9277i 0.759603 1.49081i
\(404\) −1.84746 + 0.768659i −0.0919145 + 0.0382422i
\(405\) 8.02760 8.77691i 0.398895 0.436128i
\(406\) 3.96744 + 3.12261i 0.196901 + 0.154972i
\(407\) 0.568022i 0.0281558i
\(408\) 3.88912 + 19.3130i 0.192540 + 0.956138i
\(409\) 10.8513 + 14.9356i 0.536565 + 0.738518i 0.988113 0.153729i \(-0.0491282\pi\)
−0.451549 + 0.892247i \(0.649128\pi\)
\(410\) 0.0218706 + 3.59752i 0.00108011 + 0.177669i
\(411\) 10.4210 1.65052i 0.514028 0.0814140i
\(412\) 13.4388 + 1.03633i 0.662080 + 0.0510563i
\(413\) 19.7021 + 3.12051i 0.969479 + 0.153550i
\(414\) 8.90496 + 1.76401i 0.437655 + 0.0866963i
\(415\) 16.7758 0.748035i 0.823491 0.0367196i
\(416\) −14.2205 30.5296i −0.697220 1.49684i
\(417\) 6.49798 19.9987i 0.318207 0.979341i
\(418\) −3.27891 + 1.51473i −0.160377 + 0.0740881i
\(419\) 3.91947 1.99707i 0.191479 0.0975633i −0.355623 0.934630i \(-0.615731\pi\)
0.547101 + 0.837066i \(0.315731\pi\)
\(420\) −3.00168 10.3700i −0.146467 0.506005i
\(421\) −20.7500 10.5726i −1.01129 0.515279i −0.131842 0.991271i \(-0.542089\pi\)
−0.879450 + 0.475992i \(0.842089\pi\)
\(422\) 0.524848 13.6323i 0.0255492 0.663610i
\(423\) 3.44136 4.73662i 0.167325 0.230302i
\(424\) 19.4673 + 34.5693i 0.945416 + 1.67883i
\(425\) 22.2927 9.51151i 1.08135 0.461376i
\(426\) 6.07290 16.5014i 0.294233 0.799494i
\(427\) −14.3313 + 2.26986i −0.693542 + 0.109846i
\(428\) −3.31237 + 1.37815i −0.160109 + 0.0666156i
\(429\) −1.47967 + 2.90402i −0.0714392 + 0.140207i
\(430\) −22.0269 + 3.62612i −1.06223 + 0.174867i
\(431\) 2.42604 7.46659i 0.116858 0.359653i −0.875472 0.483269i \(-0.839449\pi\)
0.992330 + 0.123616i \(0.0394492\pi\)
\(432\) 18.3407 + 13.2371i 0.882417 + 0.636871i
\(433\) −10.6389 + 32.7431i −0.511272 + 1.57353i 0.278692 + 0.960380i \(0.410099\pi\)
−0.789964 + 0.613153i \(0.789901\pi\)
\(434\) 11.7000 + 6.54018i 0.561616 + 0.313939i
\(435\) −1.36747 6.68957i −0.0655652 0.320740i
\(436\) −8.23094 5.02609i −0.394191 0.240706i
\(437\) 7.19734 45.4422i 0.344295 2.17380i
\(438\) −5.98824 21.1688i −0.286129 1.01148i
\(439\) 18.9919 26.1400i 0.906432 1.24760i −0.0619388 0.998080i \(-0.519728\pi\)
0.968371 0.249516i \(-0.0802716\pi\)
\(440\) 1.57886 + 1.82020i 0.0752690 + 0.0867744i
\(441\) 2.29667 + 3.16109i 0.109365 + 0.150528i
\(442\) −25.2424 + 32.0718i −1.20066 + 1.52550i
\(443\) 10.0487 10.0487i 0.477426 0.477426i −0.426882 0.904308i \(-0.640388\pi\)
0.904308 + 0.426882i \(0.140388\pi\)
\(444\) −2.24450 3.64976i −0.106519 0.173210i
\(445\) −19.5724 + 11.0975i −0.927819 + 0.526071i
\(446\) 14.1730 + 15.3080i 0.671109 + 0.724854i
\(447\) −1.73221 5.33119i −0.0819307 0.252157i
\(448\) 12.3924 5.20193i 0.585486 0.245768i
\(449\) −0.885267 −0.0417783 −0.0208892 0.999782i \(-0.506650\pi\)
−0.0208892 + 0.999782i \(0.506650\pi\)
\(450\) 2.70036 6.03713i 0.127296 0.284593i
\(451\) 0.306479 + 0.306479i 0.0144315 + 0.0144315i
\(452\) −38.6204 + 9.33639i −1.81655 + 0.439147i
\(453\) 16.0145 + 8.15980i 0.752428 + 0.383381i
\(454\) −0.512685 + 13.3164i −0.0240615 + 0.624969i
\(455\) 12.3270 18.6616i 0.577898 0.874871i
\(456\) 15.0829 22.6892i 0.706321 1.06252i
\(457\) 1.84633i 0.0863675i 0.999067 + 0.0431837i \(0.0137501\pi\)
−0.999067 + 0.0431837i \(0.986250\pi\)
\(458\) 13.9195 + 10.9554i 0.650414 + 0.511914i
\(459\) 4.28793 27.0729i 0.200143 1.26365i
\(460\) −30.4549 + 3.81684i −1.41997 + 0.177961i
\(461\) −5.87996 37.1246i −0.273857 1.72906i −0.614539 0.788886i \(-0.710658\pi\)
0.340682 0.940179i \(-0.389342\pi\)
\(462\) −1.13530 0.634623i −0.0528189 0.0295253i
\(463\) 23.9626 17.4098i 1.11364 0.809104i 0.130404 0.991461i \(-0.458373\pi\)
0.983232 + 0.182357i \(0.0583726\pi\)
\(464\) 8.07593 2.65222i 0.374916 0.123126i
\(465\) −6.36389 16.9730i −0.295118 0.787104i
\(466\) 6.37806 + 3.56528i 0.295458 + 0.165159i
\(467\) −0.00504893 + 0.00257256i −0.000233636 + 0.000119044i −0.454107 0.890947i \(-0.650042\pi\)
0.453874 + 0.891066i \(0.350042\pi\)
\(468\) 0.891299 + 11.1012i 0.0412003 + 0.513152i
\(469\) 1.51179 + 2.96705i 0.0698078 + 0.137006i
\(470\) −6.00252 + 18.8633i −0.276876 + 0.870098i
\(471\) −15.7330 + 5.11198i −0.724940 + 0.235547i
\(472\) 22.7384 24.7153i 1.04662 1.13761i
\(473\) −1.58082 + 2.17582i −0.0726864 + 0.100044i
\(474\) −15.5639 5.72788i −0.714873 0.263090i
\(475\) −31.1010 12.4986i −1.42701 0.573473i
\(476\) −12.4015 10.5581i −0.568423 0.483931i
\(477\) −2.05230 12.9577i −0.0939683 0.593292i
\(478\) −4.76982 5.15181i −0.218167 0.235638i
\(479\) 3.67571 + 11.3127i 0.167947 + 0.516889i 0.999241 0.0389441i \(-0.0123994\pi\)
−0.831294 + 0.555833i \(0.812399\pi\)
\(480\) −17.3372 5.45672i −0.791329 0.249064i
\(481\) 2.74301 8.44212i 0.125071 0.384928i
\(482\) −6.90917 + 3.19178i −0.314704 + 0.145382i
\(483\) 14.7619 7.52157i 0.671690 0.342243i
\(484\) −21.6454 1.66919i −0.983884 0.0758722i
\(485\) −2.93290 + 25.9558i −0.133176 + 1.17859i
\(486\) −7.33177 10.9541i −0.332576 0.496886i
\(487\) 5.09468 + 7.01223i 0.230862 + 0.317754i 0.908694 0.417462i \(-0.137080\pi\)
−0.677832 + 0.735217i \(0.737080\pi\)
\(488\) −10.1749 + 22.2091i −0.460596 + 1.00536i
\(489\) 3.32699 4.57921i 0.150452 0.207079i
\(490\) −10.7348 7.70001i −0.484948 0.347851i
\(491\) −4.64799 + 29.3463i −0.209761 + 1.32438i 0.627945 + 0.778258i \(0.283896\pi\)
−0.837706 + 0.546121i \(0.816104\pi\)
\(492\) −3.18028 0.758216i −0.143378 0.0341830i
\(493\) −7.28396 7.28396i −0.328053 0.328053i
\(494\) 56.0469 6.67841i 2.52167 0.300476i
\(495\) −0.279730 0.746063i −0.0125729 0.0335330i
\(496\) 20.0746 10.3084i 0.901378 0.462862i
\(497\) 4.49209 + 13.8252i 0.201498 + 0.620146i
\(498\) −2.96540 + 14.9698i −0.132883 + 0.670812i
\(499\) 10.7270 + 10.7270i 0.480207 + 0.480207i 0.905198 0.424990i \(-0.139723\pi\)
−0.424990 + 0.905198i \(0.639723\pi\)
\(500\) −2.24036 + 22.2482i −0.100192 + 0.994968i
\(501\) −8.12812 + 8.12812i −0.363138 + 0.363138i
\(502\) −32.8750 + 22.0039i −1.46728 + 0.982080i
\(503\) −28.8279 + 9.36675i −1.28537 + 0.417643i −0.870469 0.492223i \(-0.836185\pi\)
−0.414903 + 0.909865i \(0.636185\pi\)
\(504\) −4.44042 + 0.184987i −0.197792 + 0.00823996i
\(505\) −2.09477 + 0.785416i −0.0932159 + 0.0349506i
\(506\) −2.28701 + 2.90576i −0.101670 + 0.129177i
\(507\) 22.8064 22.8064i 1.01287 1.01287i
\(508\) −8.48650 13.7998i −0.376527 0.612267i
\(509\) 28.3211 + 4.48562i 1.25531 + 0.198822i 0.748441 0.663201i \(-0.230803\pi\)
0.506869 + 0.862023i \(0.330803\pi\)
\(510\) 3.57783 + 21.7336i 0.158429 + 0.962379i
\(511\) 14.7141 + 10.6904i 0.650913 + 0.472916i
\(512\) 4.25678 22.2234i 0.188125 0.982145i
\(513\) −30.6674 + 22.2812i −1.35400 + 0.983739i
\(514\) 7.82186 + 1.54945i 0.345008 + 0.0683435i
\(515\) 14.9743 + 1.69204i 0.659847 + 0.0745602i
\(516\) 1.55981 20.2270i 0.0686666 0.890445i
\(517\) 1.08271 + 2.12494i 0.0476177 + 0.0934549i
\(518\) 3.32430 + 1.22342i 0.146061 + 0.0537540i
\(519\) −4.01813 1.30557i −0.176376 0.0573082i
\(520\) −14.6756 34.6767i −0.643568 1.52067i
\(521\) 6.07194 1.97289i 0.266017 0.0864340i −0.172972 0.984927i \(-0.555337\pi\)
0.438988 + 0.898493i \(0.355337\pi\)
\(522\) −2.80877 0.108139i −0.122937 0.00473310i
\(523\) −30.8386 + 4.88436i −1.34848 + 0.213578i −0.788554 0.614965i \(-0.789170\pi\)
−0.559925 + 0.828543i \(0.689170\pi\)
\(524\) 3.06304 0.245928i 0.133809 0.0107434i
\(525\) −2.94170 11.7060i −0.128387 0.510891i
\(526\) −17.3836 37.6298i −0.757959 1.64074i
\(527\) −22.1245 16.0744i −0.963759 0.700212i
\(528\) −1.94793 + 1.00027i −0.0847728 + 0.0435313i
\(529\) −7.44835 22.9237i −0.323841 0.996681i
\(530\) 20.3774 + 39.3989i 0.885138 + 1.71138i
\(531\) −9.89501 + 5.04176i −0.429407 + 0.218794i
\(532\) 1.80264 + 22.4520i 0.0781546 + 0.973418i
\(533\) −3.07499 6.03500i −0.133192 0.261405i
\(534\) −5.56571 19.6751i −0.240852 0.851426i
\(535\) −3.75578 + 1.40820i −0.162376 + 0.0608817i
\(536\) 5.56905 + 0.645785i 0.240546 + 0.0278937i
\(537\) 4.25338 + 5.85428i 0.183547 + 0.252631i
\(538\) −19.4325 + 5.49709i −0.837797 + 0.236996i
\(539\) −1.57201 + 0.248982i −0.0677112 + 0.0107244i
\(540\) 19.9665 + 15.5191i 0.859220 + 0.667837i
\(541\) 4.71513 + 0.746804i 0.202719 + 0.0321076i 0.256968 0.966420i \(-0.417276\pi\)
−0.0542488 + 0.998527i \(0.517276\pi\)
\(542\) −3.59277 30.1515i −0.154323 1.29512i
\(543\) 8.01096 0.343783
\(544\) −26.3620 + 7.54717i −1.13026 + 0.323582i
\(545\) −8.99690 5.94292i −0.385385 0.254567i
\(546\) 13.8086 + 14.9144i 0.590951 + 0.638277i
\(547\) 12.7972 25.1160i 0.547170 1.07388i −0.437461 0.899237i \(-0.644122\pi\)
0.984631 0.174645i \(-0.0558778\pi\)
\(548\) 3.45078 + 14.2743i 0.147410 + 0.609769i
\(549\) 5.71207 5.71207i 0.243785 0.243785i
\(550\) 1.69175 + 2.09651i 0.0721367 + 0.0893953i
\(551\) 14.2458i 0.606892i
\(552\) 3.21297 27.7076i 0.136753 1.17932i
\(553\) 13.0398 4.23688i 0.554507 0.180170i
\(554\) 19.5716 + 0.753512i 0.831517 + 0.0320137i
\(555\) −2.36279 4.16719i −0.100295 0.176887i
\(556\) 28.4703 + 6.78765i 1.20741 + 0.287860i
\(557\) 16.5850 + 16.5850i 0.702728 + 0.702728i 0.964995 0.262267i \(-0.0844702\pi\)
−0.262267 + 0.964995i \(0.584470\pi\)
\(558\) −7.40987 + 0.882941i −0.313685 + 0.0373779i
\(559\) 34.0019 24.7038i 1.43813 1.04486i
\(560\) 14.0531 5.31972i 0.593853 0.224799i
\(561\) 2.14684 + 1.55977i 0.0906397 + 0.0658536i
\(562\) 6.52743 + 3.64878i 0.275343 + 0.153914i
\(563\) 14.8118 + 2.34597i 0.624245 + 0.0988707i 0.460540 0.887639i \(-0.347656\pi\)
0.163705 + 0.986509i \(0.447656\pi\)
\(564\) −15.3534 9.37532i −0.646496 0.394772i
\(565\) −43.5227 + 8.89684i −1.83102 + 0.374293i
\(566\) −3.82147 13.5091i −0.160628 0.567831i
\(567\) −8.49905 2.76151i −0.356927 0.115972i
\(568\) 23.5707 + 6.58747i 0.989005 + 0.276404i
\(569\) −12.7278 4.13552i −0.533578 0.173370i 0.0298205 0.999555i \(-0.490506\pi\)
−0.563399 + 0.826185i \(0.690506\pi\)
\(570\) 17.7543 24.7518i 0.743646 1.03674i
\(571\) 6.91596 + 3.52386i 0.289424 + 0.147469i 0.592675 0.805442i \(-0.298072\pi\)
−0.303251 + 0.952911i \(0.598072\pi\)
\(572\) −4.19390 1.72943i −0.175356 0.0723109i
\(573\) 0.943725 + 5.95844i 0.0394247 + 0.248918i
\(574\) 2.45375 1.13354i 0.102417 0.0473130i
\(575\) −34.1798 + 3.05423i −1.42539 + 0.127370i
\(576\) −3.87930 + 6.39819i −0.161637 + 0.266591i
\(577\) 3.32777 + 2.41777i 0.138537 + 0.100653i 0.654895 0.755720i \(-0.272713\pi\)
−0.516358 + 0.856373i \(0.672713\pi\)
\(578\) 6.24249 + 6.74241i 0.259653 + 0.280447i
\(579\) −9.65831 + 18.9555i −0.401386 + 0.787763i
\(580\) 9.12887 2.64242i 0.379056 0.109721i
\(581\) −5.72774 11.2413i −0.237627 0.466368i
\(582\) −22.2774 8.19863i −0.923430 0.339844i
\(583\) 5.08241 + 1.65138i 0.210492 + 0.0683930i
\(584\) 28.7028 10.6662i 1.18773 0.441372i
\(585\) 0.554659 + 12.4391i 0.0229323 + 0.514292i
\(586\) −32.0967 + 21.4829i −1.32590 + 0.887452i
\(587\) −7.32875 + 46.2719i −0.302490 + 1.90985i 0.101047 + 0.994882i \(0.467781\pi\)
−0.403537 + 0.914963i \(0.632219\pi\)
\(588\) 9.11693 7.81149i 0.375976 0.322141i
\(589\) 5.91635 + 37.3543i 0.243779 + 1.53916i
\(590\) 26.3885 26.7113i 1.08640 1.09969i
\(591\) −22.7659 + 16.5404i −0.936464 + 0.680381i
\(592\) 4.81370 3.52061i 0.197842 0.144696i
\(593\) 16.1085 0.661497 0.330748 0.943719i \(-0.392699\pi\)
0.330748 + 0.943719i \(0.392699\pi\)
\(594\) 3.02527 0.360484i 0.124128 0.0147908i
\(595\) −13.4369 12.2898i −0.550861 0.503832i
\(596\) 7.20361 2.99715i 0.295071 0.122768i
\(597\) 6.34507 + 3.23297i 0.259686 + 0.132317i
\(598\) 48.0223 32.1423i 1.96378 1.31440i
\(599\) 23.0804i 0.943038i −0.881856 0.471519i \(-0.843706\pi\)
0.881856 0.471519i \(-0.156294\pi\)
\(600\) −19.1544 6.78601i −0.781975 0.277038i
\(601\) 2.41261i 0.0984124i 0.998789 + 0.0492062i \(0.0156691\pi\)
−0.998789 + 0.0492062i \(0.984331\pi\)
\(602\) 9.32897 + 13.9380i 0.380220 + 0.568070i
\(603\) −1.65183 0.841652i −0.0672679 0.0342747i
\(604\) −9.53710 + 23.1277i −0.388059 + 0.941053i
\(605\) −24.1187 2.72532i −0.980565 0.110800i
\(606\) −0.240557 2.01881i −0.00977195 0.0820087i
\(607\) 17.0014 0.690065 0.345033 0.938591i \(-0.387868\pi\)
0.345033 + 0.938591i \(0.387868\pi\)
\(608\) 33.1594 + 18.3988i 1.34479 + 0.746169i
\(609\) −4.15018 + 3.01529i −0.168174 + 0.122186i
\(610\) −12.2514 + 24.4105i −0.496045 + 0.988350i
\(611\) −5.83014 36.8101i −0.235862 1.48918i
\(612\) 9.04066 + 0.697170i 0.365447 + 0.0281814i
\(613\) 6.47695 40.8939i 0.261602 1.65169i −0.410965 0.911651i \(-0.634808\pi\)
0.672566 0.740037i \(-0.265192\pi\)
\(614\) 19.4228 + 29.0187i 0.783840 + 1.17110i
\(615\) −3.52328 0.973575i −0.142072 0.0392583i
\(616\) 0.754019 1.64582i 0.0303803 0.0663121i
\(617\) 15.8170 + 5.13924i 0.636767 + 0.206898i 0.609570 0.792732i \(-0.291342\pi\)
0.0271965 + 0.999630i \(0.491342\pi\)
\(618\) −4.72992 + 12.8522i −0.190265 + 0.516992i
\(619\) −9.59289 18.8271i −0.385571 0.756725i 0.613896 0.789387i \(-0.289601\pi\)
−0.999466 + 0.0326621i \(0.989601\pi\)
\(620\) 22.8397 10.7200i 0.917263 0.430527i
\(621\) −17.6189 + 34.5791i −0.707023 + 1.38761i
\(622\) −14.1407 + 13.0922i −0.566989 + 0.524949i
\(623\) 13.6759 + 9.93609i 0.547911 + 0.398081i
\(624\) 33.7812 5.45969i 1.35233 0.218563i
\(625\) −3.38747 + 24.7694i −0.135499 + 0.990778i
\(626\) 19.4469 + 42.0962i 0.777253 + 1.68250i
\(627\) −0.574089 3.62466i −0.0229269 0.144755i
\(628\) −8.84498 21.2588i −0.352953 0.848318i
\(629\) −6.43947 3.28107i −0.256758 0.130825i
\(630\) −4.96876 + 0.0302068i −0.197960 + 0.00120347i
\(631\) 3.45870 + 1.12380i 0.137689 + 0.0447377i 0.377051 0.926193i \(-0.376938\pi\)
−0.239362 + 0.970930i \(0.576938\pi\)
\(632\) 6.21322 22.2316i 0.247149 0.884325i
\(633\) 13.1829 + 4.28338i 0.523973 + 0.170249i
\(634\) −16.2858 + 4.60694i −0.646791 + 0.182965i
\(635\) −8.93372 15.7562i −0.354524 0.625265i
\(636\) −39.1818 + 9.47210i −1.55366 + 0.375593i
\(637\) 24.5660 + 3.89087i 0.973341 + 0.154162i
\(638\) 0.558668 0.999421i 0.0221179 0.0395675i
\(639\) −6.54735 4.75693i −0.259009 0.188181i
\(640\) 5.63948 24.6616i 0.222920 0.974837i
\(641\) 30.2838 22.0025i 1.19614 0.869046i 0.202240 0.979336i \(-0.435178\pi\)
0.993899 + 0.110290i \(0.0351780\pi\)
\(642\) −0.431302 3.61960i −0.0170221 0.142854i
\(643\) 7.39178 + 7.39178i 0.291503 + 0.291503i 0.837674 0.546171i \(-0.183915\pi\)
−0.546171 + 0.837674i \(0.683915\pi\)
\(644\) 12.0799 + 19.6430i 0.476015 + 0.774043i
\(645\) 2.54673 22.5382i 0.100278 0.887441i
\(646\) 1.76799 45.9214i 0.0695607 1.80675i
\(647\) 23.8367 7.74501i 0.937117 0.304488i 0.199647 0.979868i \(-0.436020\pi\)
0.737470 + 0.675380i \(0.236020\pi\)
\(648\) −11.7933 + 9.34241i −0.463284 + 0.367004i
\(649\) 4.52367i 0.177570i
\(650\) −15.0192 39.3285i −0.589103 1.54259i
\(651\) −9.63005 + 9.63005i −0.377431 + 0.377431i
\(652\) 6.72386 + 4.10581i 0.263327 + 0.160796i
\(653\) −16.3472 + 32.0831i −0.639714 + 1.25551i 0.312453 + 0.949933i \(0.398849\pi\)
−0.952167 + 0.305577i \(0.901151\pi\)
\(654\) 7.19033 6.65719i 0.281164 0.260317i
\(655\) 3.43219 0.153042i 0.134107 0.00597983i
\(656\) 0.697695 4.49683i 0.0272404 0.175572i
\(657\) −10.1255 −0.395034
\(658\) 14.7680 1.75972i 0.575718 0.0686011i
\(659\) −41.7882 6.61859i −1.62784 0.257824i −0.725298 0.688435i \(-0.758298\pi\)
−0.902538 + 0.430611i \(0.858298\pi\)
\(660\) −2.21623 + 1.04021i −0.0862667 + 0.0404902i
\(661\) −3.73214 + 0.591112i −0.145163 + 0.0229916i −0.228593 0.973522i \(-0.573413\pi\)
0.0834299 + 0.996514i \(0.473413\pi\)
\(662\) 4.60864 + 16.2918i 0.179120 + 0.633199i
\(663\) −24.3748 33.5490i −0.946639 1.30294i
\(664\) −21.0996 2.44670i −0.818823 0.0949504i
\(665\) 1.12179 + 25.1579i 0.0435013 + 0.975581i
\(666\) −1.89762 + 0.536799i −0.0735311 + 0.0208005i
\(667\) 6.62135 + 12.9951i 0.256380 + 0.503174i
\(668\) −12.1825 10.3716i −0.471354 0.401291i
\(669\) −18.8861 + 9.62295i −0.730179 + 0.372045i
\(670\) 6.19679 + 0.942894i 0.239403 + 0.0364272i
\(671\) 1.01683 + 3.12947i 0.0392541 + 0.120812i
\(672\) 1.65850 + 13.5545i 0.0639780 + 0.522877i
\(673\) 27.7570 + 20.1667i 1.06995 + 0.777368i 0.975904 0.218200i \(-0.0700185\pi\)
0.0940505 + 0.995567i \(0.470018\pi\)
\(674\) −26.2662 + 12.1340i −1.01174 + 0.467385i
\(675\) 21.6923 + 18.1335i 0.834936 + 0.697959i
\(676\) 34.1824 + 29.1014i 1.31471 + 1.11928i
\(677\) 31.6140 5.00716i 1.21502 0.192441i 0.484169 0.874974i \(-0.339122\pi\)
0.730854 + 0.682534i \(0.239122\pi\)
\(678\) 1.55313 40.3406i 0.0596476 1.54927i
\(679\) 18.6645 6.06447i 0.716279 0.232733i
\(680\) −29.7549 + 7.38491i −1.14105 + 0.283198i
\(681\) −12.8774 4.18412i −0.493463 0.160336i
\(682\) 1.04983 2.85263i 0.0402002 0.109233i
\(683\) 11.8432 + 23.2437i 0.453169 + 0.889395i 0.998684 + 0.0512932i \(0.0163343\pi\)
−0.545514 + 0.838101i \(0.683666\pi\)
\(684\) −8.15901 9.52253i −0.311968 0.364103i
\(685\) 3.28832 + 16.0862i 0.125640 + 0.614623i
\(686\) −5.16039 + 26.0504i −0.197024 + 0.994607i
\(687\) −14.5606 + 10.5789i −0.555522 + 0.403610i
\(688\) 28.2370 0.0890676i 1.07652 0.00339567i
\(689\) −67.5618 49.0865i −2.57390 1.87005i
\(690\) 4.69117 30.8308i 0.178590 1.17371i
\(691\) −36.3998 5.76517i −1.38472 0.219317i −0.580793 0.814051i \(-0.697257\pi\)
−0.803923 + 0.594734i \(0.797257\pi\)
\(692\) 1.36377 5.72024i 0.0518428 0.217451i
\(693\) −0.423297 + 0.423297i −0.0160797 + 0.0160797i
\(694\) −4.52233 3.55934i −0.171665 0.135111i
\(695\) 31.5409 + 8.71557i 1.19641 + 0.330600i
\(696\) 0.359490 + 8.62922i 0.0136265 + 0.327090i
\(697\) −5.24477 + 1.70413i −0.198660 + 0.0645485i
\(698\) −3.41138 5.09678i −0.129123 0.192916i
\(699\) −5.24968 + 5.24968i −0.198561 + 0.198561i
\(700\) 15.9134 5.38533i 0.601469 0.203546i
\(701\) −9.16318 9.16318i −0.346089 0.346089i 0.512562 0.858650i \(-0.328697\pi\)
−0.858650 + 0.512562i \(0.828697\pi\)
\(702\) −46.7033 9.25159i −1.76270 0.349179i
\(703\) 3.08856 + 9.50562i 0.116487 + 0.358511i
\(704\) −1.60478 2.59116i −0.0604824 0.0976581i
\(705\) −16.7822 11.0855i −0.632054 0.417505i
\(706\) −3.41345 28.6465i −0.128467 1.07813i
\(707\) 1.18852 + 1.18852i 0.0446988 + 0.0446988i
\(708\) 17.8750 + 29.0664i 0.671784 + 1.09238i
\(709\) 0.264073 1.66729i 0.00991746 0.0626164i −0.982233 0.187664i \(-0.939908\pi\)
0.992151 + 0.125048i \(0.0399084\pi\)
\(710\) 26.0744 + 8.29718i 0.978554 + 0.311387i
\(711\) −4.48667 + 6.17538i −0.168263 + 0.231595i
\(712\) 26.6775 9.91363i 0.999783 0.371529i
\(713\) 22.7590 + 31.3250i 0.852330 + 1.17313i
\(714\) 13.7523 9.20472i 0.514669 0.344478i
\(715\) −4.61722 2.09902i −0.172674 0.0784989i
\(716\) −7.64850 + 6.55333i −0.285838 + 0.244909i
\(717\) 6.35601 3.23855i 0.237370 0.120946i
\(718\) 3.61669 + 7.82895i 0.134974 + 0.292174i
\(719\) −7.56208 + 23.2737i −0.282018 + 0.867962i 0.705259 + 0.708950i \(0.250831\pi\)
−0.987277 + 0.159012i \(0.949169\pi\)
\(720\) −4.58874 + 6.99469i −0.171012 + 0.260677i
\(721\) −3.49869 10.7679i −0.130298 0.401017i
\(722\) −26.9181 + 24.9222i −1.00179 + 0.927510i
\(723\) −1.20970 7.63772i −0.0449891 0.284050i
\(724\) 0.892371 + 11.1145i 0.0331647 + 0.413068i
\(725\) 10.3050 2.58963i 0.382717 0.0961763i
\(726\) 7.61836 20.7007i 0.282744 0.768276i
\(727\) 4.60692 6.34088i 0.170861 0.235170i −0.714996 0.699129i \(-0.753571\pi\)
0.885857 + 0.463959i \(0.153571\pi\)
\(728\) −19.1542 + 20.8195i −0.709903 + 0.771623i
\(729\) 27.9143 9.06990i 1.03386 0.335922i
\(730\) 32.4944 10.7769i 1.20267 0.398871i
\(731\) −15.5352 30.4895i −0.574589 1.12769i
\(732\) −18.8994 16.0901i −0.698542 0.594709i
\(733\) −14.8294 + 7.55594i −0.547735 + 0.279085i −0.705880 0.708331i \(-0.749448\pi\)
0.158146 + 0.987416i \(0.449448\pi\)
\(734\) −6.35953 + 11.3768i −0.234735 + 0.419925i
\(735\) 10.4971 8.36564i 0.387190 0.308571i
\(736\) 38.7998 + 1.37125i 1.43018 + 0.0505451i
\(737\) 0.610940 0.443874i 0.0225043 0.0163503i
\(738\) −0.734236 + 1.31350i −0.0270276 + 0.0483507i
\(739\) −0.167540 1.05781i −0.00616306 0.0389120i 0.984415 0.175860i \(-0.0562706\pi\)
−0.990578 + 0.136948i \(0.956271\pi\)
\(740\) 5.51841 3.74236i 0.202861 0.137572i
\(741\) −8.97139 + 56.6431i −0.329572 + 2.08084i
\(742\) 20.6112 26.1876i 0.756660 0.961377i
\(743\) 48.4018i 1.77569i −0.460142 0.887845i \(-0.652202\pi\)
0.460142 0.887845i \(-0.347798\pi\)
\(744\) 4.52638 + 22.4776i 0.165945 + 0.824069i
\(745\) 8.16791 3.06249i 0.299249 0.112201i
\(746\) 23.0497 + 0.887421i 0.843909 + 0.0324908i
\(747\) 6.25834 + 3.18878i 0.228981 + 0.116672i
\(748\) −1.92490 + 3.15230i −0.0703814 + 0.115260i
\(749\) 2.13093 + 2.13093i 0.0778626 + 0.0778626i
\(750\) −21.1320 8.34348i −0.771632 0.304661i
\(751\) 8.69178 0.317167 0.158584 0.987346i \(-0.449307\pi\)
0.158584 + 0.987346i \(0.449307\pi\)
\(752\) 11.2972 22.3459i 0.411965 0.814872i
\(753\) −12.4206 38.2268i −0.452633 1.39306i
\(754\) −13.1294 + 12.1559i −0.478143 + 0.442691i
\(755\) −11.5753 + 25.4622i −0.421267 + 0.926663i
\(756\) 4.40621 18.4816i 0.160252 0.672168i
\(757\) −29.1831 + 29.1831i −1.06068 + 1.06068i −0.0626398 + 0.998036i \(0.519952\pi\)
−0.998036 + 0.0626398i \(0.980048\pi\)
\(758\) 33.8627 + 26.6520i 1.22995 + 0.968043i
\(759\) −2.20840 3.03961i −0.0801599 0.110331i
\(760\) 36.3186 + 21.8754i 1.31742 + 0.793503i
\(761\) 9.90268 13.6299i 0.358972 0.494082i −0.590890 0.806752i \(-0.701223\pi\)
0.949862 + 0.312670i \(0.101223\pi\)
\(762\) 15.8389 4.48052i 0.573783 0.162312i
\(763\) −1.26728 + 8.00132i −0.0458788 + 0.289667i
\(764\) −8.16170 + 1.97307i −0.295280 + 0.0713832i
\(765\) 10.0737 + 1.13829i 0.364214 + 0.0411549i
\(766\) 6.17798 11.0520i 0.223220 0.399326i
\(767\) −21.8451 + 67.2322i −0.788780 + 2.42762i
\(768\) 20.5501 + 10.3080i 0.741539 + 0.371959i
\(769\) 1.69482 5.21612i 0.0611168 0.188098i −0.915836 0.401551i \(-0.868471\pi\)
0.976953 + 0.213453i \(0.0684711\pi\)
\(770\) 0.907899 1.80895i 0.0327184 0.0651902i
\(771\) −3.67815 + 7.21877i −0.132465 + 0.259978i
\(772\) −27.3750 11.2885i −0.985247 0.406283i
\(773\) −36.0173 + 5.70458i −1.29545 + 0.205179i