Properties

Label 300.2.r.a.59.19
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 59.19
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.723120 + 1.21536i) q^{2} +(-1.44187 + 0.959691i) q^{3} +(-0.954195 - 1.75770i) q^{4} +(1.84864 + 1.25798i) q^{5} +(-0.123723 - 2.44636i) q^{6} +2.80461 q^{7} +(2.82623 + 0.111339i) q^{8} +(1.15799 - 2.76750i) q^{9} +O(q^{10})\) \(q+(-0.723120 + 1.21536i) q^{2} +(-1.44187 + 0.959691i) q^{3} +(-0.954195 - 1.75770i) q^{4} +(1.84864 + 1.25798i) q^{5} +(-0.123723 - 2.44636i) q^{6} +2.80461 q^{7} +(2.82623 + 0.111339i) q^{8} +(1.15799 - 2.76750i) q^{9} +(-2.86569 + 1.33709i) q^{10} +(1.50008 + 1.08987i) q^{11} +(3.06268 + 1.61865i) q^{12} +(2.01229 + 2.76969i) q^{13} +(-2.02807 + 3.40861i) q^{14} +(-3.87278 - 0.0397234i) q^{15} +(-2.17902 + 3.35438i) q^{16} +(-0.345387 + 1.06299i) q^{17} +(2.52615 + 3.40861i) q^{18} +(-7.11064 - 2.31039i) q^{19} +(0.447192 - 4.44972i) q^{20} +(-4.04389 + 2.69156i) q^{21} +(-2.40932 + 1.03503i) q^{22} +(1.23722 - 1.70289i) q^{23} +(-4.18192 + 2.55177i) q^{24} +(1.83496 + 4.65112i) q^{25} +(-4.82129 + 0.442845i) q^{26} +(0.986279 + 5.10169i) q^{27} +(-2.67615 - 4.92967i) q^{28} +(-3.56932 + 1.15974i) q^{29} +(2.84876 - 4.67809i) q^{30} +(8.53887 + 2.77445i) q^{31} +(-2.50108 - 5.07391i) q^{32} +(-3.20886 - 0.131842i) q^{33} +(-1.04216 - 1.18844i) q^{34} +(5.18472 + 3.52815i) q^{35} +(-5.96939 + 0.605342i) q^{36} +(4.97454 + 6.84687i) q^{37} +(7.94980 - 6.97130i) q^{38} +(-5.55951 - 2.06235i) q^{39} +(5.08464 + 3.76118i) q^{40} +(-3.81439 - 5.25005i) q^{41} +(-0.346995 - 6.86110i) q^{42} -7.87791 q^{43} +(0.484300 - 3.67664i) q^{44} +(5.62217 - 3.65940i) q^{45} +(1.17496 + 2.73507i) q^{46} +(0.999744 - 0.324837i) q^{47} +(-0.0772933 - 6.92777i) q^{48} +0.865841 q^{49} +(-6.97968 - 1.13318i) q^{50} +(-0.522140 - 1.86416i) q^{51} +(2.94816 - 6.17983i) q^{52} +(0.595625 + 1.83314i) q^{53} +(-6.91358 - 2.49045i) q^{54} +(1.40207 + 3.90186i) q^{55} +(7.92649 + 0.312264i) q^{56} +(12.4699 - 3.49274i) q^{57} +(1.17154 - 5.17664i) q^{58} +(6.91365 - 5.02306i) q^{59} +(3.62556 + 6.84509i) q^{60} +(-0.730226 - 0.530540i) q^{61} +(-9.54658 + 8.37154i) q^{62} +(3.24770 - 7.76177i) q^{63} +(7.97521 + 0.629343i) q^{64} +(0.235797 + 7.65159i) q^{65} +(2.48063 - 3.80458i) q^{66} +(0.462733 - 1.42415i) q^{67} +(2.19799 - 0.407214i) q^{68} +(-0.149667 + 3.64271i) q^{69} +(-8.03715 + 3.75002i) q^{70} +(1.11003 + 3.41631i) q^{71} +(3.58087 - 7.69268i) q^{72} +(7.45432 - 10.2600i) q^{73} +(-11.9186 + 1.09475i) q^{74} +(-7.10941 - 4.94532i) q^{75} +(2.72397 + 14.7029i) q^{76} +(4.20714 + 3.05667i) q^{77} +(6.52669 - 5.26548i) q^{78} +(-4.76272 + 1.54750i) q^{79} +(-8.24799 + 3.45987i) q^{80} +(-6.31813 - 6.40946i) q^{81} +(9.13896 - 0.839431i) q^{82} +(5.84619 + 1.89954i) q^{83} +(8.58961 + 4.53967i) q^{84} +(-1.97572 + 1.53060i) q^{85} +(5.69668 - 9.57449i) q^{86} +(4.03351 - 5.09764i) q^{87} +(4.11823 + 3.24725i) q^{88} +(9.96050 - 13.7094i) q^{89} +(0.381974 + 9.47914i) q^{90} +(5.64370 + 7.76789i) q^{91} +(-4.17373 - 0.549778i) q^{92} +(-14.9746 + 4.19428i) q^{93} +(-0.328142 + 1.44994i) q^{94} +(-10.2386 - 13.2161i) q^{95} +(8.47562 + 4.91567i) q^{96} +(-16.7757 + 5.45075i) q^{97} +(-0.626107 + 1.05231i) q^{98} +(4.75330 - 2.88942i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

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

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.723120 + 1.21536i −0.511323 + 0.859389i
\(3\) −1.44187 + 0.959691i −0.832465 + 0.554078i
\(4\) −0.954195 1.75770i −0.477097 0.878850i
\(5\) 1.84864 + 1.25798i 0.826738 + 0.562587i
\(6\) −0.123723 2.44636i −0.0505097 0.998724i
\(7\) 2.80461 1.06004 0.530022 0.847984i \(-0.322184\pi\)
0.530022 + 0.847984i \(0.322184\pi\)
\(8\) 2.82623 + 0.111339i 0.999225 + 0.0393644i
\(9\) 1.15799 2.76750i 0.385996 0.922501i
\(10\) −2.86569 + 1.33709i −0.906211 + 0.422826i
\(11\) 1.50008 + 1.08987i 0.452291 + 0.328609i 0.790500 0.612462i \(-0.209821\pi\)
−0.338209 + 0.941071i \(0.609821\pi\)
\(12\) 3.06268 + 1.61865i 0.884118 + 0.467263i
\(13\) 2.01229 + 2.76969i 0.558110 + 0.768173i 0.991085 0.133234i \(-0.0425360\pi\)
−0.432975 + 0.901406i \(0.642536\pi\)
\(14\) −2.02807 + 3.40861i −0.542025 + 0.910989i
\(15\) −3.87278 0.0397234i −0.999947 0.0102565i
\(16\) −2.17902 + 3.35438i −0.544756 + 0.838595i
\(17\) −0.345387 + 1.06299i −0.0837686 + 0.257813i −0.984164 0.177259i \(-0.943277\pi\)
0.900396 + 0.435072i \(0.143277\pi\)
\(18\) 2.52615 + 3.40861i 0.595418 + 0.803416i
\(19\) −7.11064 2.31039i −1.63129 0.530039i −0.656725 0.754130i \(-0.728059\pi\)
−0.974568 + 0.224090i \(0.928059\pi\)
\(20\) 0.447192 4.44972i 0.0999951 0.994988i
\(21\) −4.04389 + 2.69156i −0.882449 + 0.587346i
\(22\) −2.40932 + 1.03503i −0.513670 + 0.220669i
\(23\) 1.23722 1.70289i 0.257979 0.355078i −0.660307 0.750996i \(-0.729574\pi\)
0.918286 + 0.395918i \(0.129574\pi\)
\(24\) −4.18192 + 2.55177i −0.853631 + 0.520879i
\(25\) 1.83496 + 4.65112i 0.366992 + 0.930224i
\(26\) −4.82129 + 0.442845i −0.945533 + 0.0868490i
\(27\) 0.986279 + 5.10169i 0.189809 + 0.981821i
\(28\) −2.67615 4.92967i −0.505744 0.931619i
\(29\) −3.56932 + 1.15974i −0.662806 + 0.215359i −0.621052 0.783769i \(-0.713294\pi\)
−0.0417538 + 0.999128i \(0.513294\pi\)
\(30\) 2.84876 4.67809i 0.520111 0.854099i
\(31\) 8.53887 + 2.77445i 1.53363 + 0.498306i 0.949610 0.313435i \(-0.101480\pi\)
0.584018 + 0.811741i \(0.301480\pi\)
\(32\) −2.50108 5.07391i −0.442132 0.896950i
\(33\) −3.20886 0.131842i −0.558591 0.0229507i
\(34\) −1.04216 1.18844i −0.178729 0.203816i
\(35\) 5.18472 + 3.52815i 0.876378 + 0.596366i
\(36\) −5.96939 + 0.605342i −0.994898 + 0.100890i
\(37\) 4.97454 + 6.84687i 0.817809 + 1.12562i 0.990071 + 0.140567i \(0.0448924\pi\)
−0.172262 + 0.985051i \(0.555108\pi\)
\(38\) 7.94980 6.97130i 1.28963 1.13089i
\(39\) −5.55951 2.06235i −0.890234 0.330240i
\(40\) 5.08464 + 3.76118i 0.803951 + 0.594695i
\(41\) −3.81439 5.25005i −0.595707 0.819921i 0.399600 0.916690i \(-0.369149\pi\)
−0.995307 + 0.0967691i \(0.969149\pi\)
\(42\) −0.346995 6.86110i −0.0535424 1.05869i
\(43\) −7.87791 −1.20137 −0.600685 0.799486i \(-0.705105\pi\)
−0.600685 + 0.799486i \(0.705105\pi\)
\(44\) 0.484300 3.67664i 0.0730110 0.554275i
\(45\) 5.62217 3.65940i 0.838104 0.545510i
\(46\) 1.17496 + 2.73507i 0.173239 + 0.403264i
\(47\) 0.999744 0.324837i 0.145828 0.0473823i −0.235194 0.971949i \(-0.575572\pi\)
0.381021 + 0.924566i \(0.375572\pi\)
\(48\) −0.0772933 6.92777i −0.0111563 0.999938i
\(49\) 0.865841 0.123692
\(50\) −6.97968 1.13318i −0.987075 0.160256i
\(51\) −0.522140 1.86416i −0.0731142 0.261035i
\(52\) 2.94816 6.17983i 0.408836 0.856988i
\(53\) 0.595625 + 1.83314i 0.0818153 + 0.251802i 0.983594 0.180396i \(-0.0577381\pi\)
−0.901779 + 0.432198i \(0.857738\pi\)
\(54\) −6.91358 2.49045i −0.940820 0.338908i
\(55\) 1.40207 + 3.90186i 0.189055 + 0.526127i
\(56\) 7.92649 + 0.312264i 1.05922 + 0.0417280i
\(57\) 12.4699 3.49274i 1.65168 0.462624i
\(58\) 1.17154 5.17664i 0.153831 0.679726i
\(59\) 6.91365 5.02306i 0.900081 0.653947i −0.0384059 0.999262i \(-0.512228\pi\)
0.938487 + 0.345315i \(0.112228\pi\)
\(60\) 3.62556 + 6.84509i 0.468058 + 0.883698i
\(61\) −0.730226 0.530540i −0.0934959 0.0679287i 0.540055 0.841630i \(-0.318403\pi\)
−0.633551 + 0.773701i \(0.718403\pi\)
\(62\) −9.54658 + 8.37154i −1.21242 + 1.06319i
\(63\) 3.24770 7.76177i 0.409172 0.977891i
\(64\) 7.97521 + 0.629343i 0.996901 + 0.0786678i
\(65\) 0.235797 + 7.65159i 0.0292470 + 0.949063i
\(66\) 2.48063 3.80458i 0.305344 0.468312i
\(67\) 0.462733 1.42415i 0.0565319 0.173987i −0.918804 0.394715i \(-0.870843\pi\)
0.975335 + 0.220728i \(0.0708433\pi\)
\(68\) 2.19799 0.407214i 0.266545 0.0493820i
\(69\) −0.149667 + 3.64271i −0.0180178 + 0.438530i
\(70\) −8.03715 + 3.75002i −0.960623 + 0.448213i
\(71\) 1.11003 + 3.41631i 0.131736 + 0.405442i 0.995068 0.0991946i \(-0.0316266\pi\)
−0.863332 + 0.504636i \(0.831627\pi\)
\(72\) 3.58087 7.69268i 0.422010 0.906591i
\(73\) 7.45432 10.2600i 0.872462 1.20084i −0.105990 0.994367i \(-0.533801\pi\)
0.978452 0.206474i \(-0.0661987\pi\)
\(74\) −11.9186 + 1.09475i −1.38551 + 0.127262i
\(75\) −7.10941 4.94532i −0.820924 0.571037i
\(76\) 2.72397 + 14.7029i 0.312461 + 1.68654i
\(77\) 4.20714 + 3.05667i 0.479448 + 0.348340i
\(78\) 6.52669 5.26548i 0.739002 0.596198i
\(79\) −4.76272 + 1.54750i −0.535848 + 0.174108i −0.564425 0.825484i \(-0.690902\pi\)
0.0285776 + 0.999592i \(0.490902\pi\)
\(80\) −8.24799 + 3.45987i −0.922153 + 0.386825i
\(81\) −6.31813 6.40946i −0.702015 0.712162i
\(82\) 9.13896 0.839431i 1.00923 0.0926996i
\(83\) 5.84619 + 1.89954i 0.641703 + 0.208502i 0.611752 0.791050i \(-0.290465\pi\)
0.0299505 + 0.999551i \(0.490465\pi\)
\(84\) 8.58961 + 4.53967i 0.937204 + 0.495319i
\(85\) −1.97572 + 1.53060i −0.214297 + 0.166017i
\(86\) 5.69668 9.57449i 0.614288 1.03244i
\(87\) 4.03351 5.09764i 0.432437 0.546525i
\(88\) 4.11823 + 3.24725i 0.439005 + 0.346158i
\(89\) 9.96050 13.7094i 1.05581 1.45320i 0.172150 0.985071i \(-0.444929\pi\)
0.883661 0.468128i \(-0.155071\pi\)
\(90\) 0.381974 + 9.47914i 0.0402636 + 0.999189i
\(91\) 5.64370 + 7.76789i 0.591621 + 0.814296i
\(92\) −4.17373 0.549778i −0.435141 0.0573183i
\(93\) −14.9746 + 4.19428i −1.55279 + 0.434927i
\(94\) −0.328142 + 1.44994i −0.0338453 + 0.149550i
\(95\) −10.2386 13.2161i −1.05046 1.35595i
\(96\) 8.47562 + 4.91567i 0.865040 + 0.501704i
\(97\) −16.7757 + 5.45075i −1.70331 + 0.553440i −0.989198 0.146588i \(-0.953171\pi\)
−0.714115 + 0.700028i \(0.753171\pi\)
\(98\) −0.626107 + 1.05231i −0.0632464 + 0.106299i
\(99\) 4.75330 2.88942i 0.477724 0.290397i
\(100\) 6.42437 7.66339i 0.642437 0.766339i
\(101\) 6.81866i 0.678482i −0.940700 0.339241i \(-0.889830\pi\)
0.940700 0.339241i \(-0.110170\pi\)
\(102\) 2.64319 + 0.713425i 0.261715 + 0.0706396i
\(103\) −4.18192 12.8706i −0.412057 1.26818i −0.914857 0.403778i \(-0.867697\pi\)
0.502800 0.864403i \(-0.332303\pi\)
\(104\) 5.37884 + 8.05183i 0.527439 + 0.789547i
\(105\) −10.8616 0.111409i −1.05999 0.0108724i
\(106\) −2.65864 0.601685i −0.258230 0.0584409i
\(107\) 9.81778i 0.949120i 0.880223 + 0.474560i \(0.157393\pi\)
−0.880223 + 0.474560i \(0.842607\pi\)
\(108\) 8.02614 6.60159i 0.772316 0.635238i
\(109\) 1.78582 1.29748i 0.171051 0.124276i −0.498966 0.866622i \(-0.666287\pi\)
0.670017 + 0.742346i \(0.266287\pi\)
\(110\) −5.75603 1.11749i −0.548816 0.106549i
\(111\) −13.7435 5.09828i −1.30448 0.483907i
\(112\) −6.11132 + 9.40772i −0.577465 + 0.888946i
\(113\) −12.5977 + 9.15275i −1.18509 + 0.861018i −0.992737 0.120308i \(-0.961612\pi\)
−0.192353 + 0.981326i \(0.561612\pi\)
\(114\) −4.77230 + 17.6811i −0.446967 + 1.65598i
\(115\) 4.42940 1.59163i 0.413043 0.148421i
\(116\) 5.44431 + 5.16718i 0.505491 + 0.479760i
\(117\) 9.99532 2.36177i 0.924068 0.218346i
\(118\) 1.10542 + 12.0348i 0.101762 + 1.10790i
\(119\) −0.968675 + 2.98128i −0.0887983 + 0.273293i
\(120\) −10.9410 0.543461i −0.998769 0.0496109i
\(121\) −2.33677 7.19183i −0.212433 0.653803i
\(122\) 1.17284 0.503842i 0.106184 0.0456158i
\(123\) 10.5383 + 3.90927i 0.950205 + 0.352487i
\(124\) −3.27110 17.6562i −0.293753 1.58557i
\(125\) −2.45884 + 10.9066i −0.219926 + 0.975517i
\(126\) 7.08485 + 9.55981i 0.631169 + 0.851656i
\(127\) −1.96048 1.42437i −0.173964 0.126392i 0.497396 0.867524i \(-0.334290\pi\)
−0.671360 + 0.741131i \(0.734290\pi\)
\(128\) −6.53191 + 9.23765i −0.577345 + 0.816501i
\(129\) 11.3589 7.56036i 1.00010 0.665653i
\(130\) −9.46994 5.24644i −0.830569 0.460143i
\(131\) −1.27975 + 3.93867i −0.111812 + 0.344123i −0.991269 0.131856i \(-0.957906\pi\)
0.879457 + 0.475979i \(0.157906\pi\)
\(132\) 2.83014 + 5.76602i 0.246332 + 0.501868i
\(133\) −19.9426 6.47974i −1.72924 0.561865i
\(134\) 1.39624 + 1.59222i 0.120617 + 0.137546i
\(135\) −4.59456 + 10.6719i −0.395437 + 0.918493i
\(136\) −1.09450 + 2.96581i −0.0938523 + 0.254316i
\(137\) 2.61762 1.90181i 0.223638 0.162483i −0.470325 0.882494i \(-0.655863\pi\)
0.693963 + 0.720011i \(0.255863\pi\)
\(138\) −4.31897 2.81601i −0.367655 0.239715i
\(139\) 4.14436 5.70423i 0.351520 0.483826i −0.596241 0.802805i \(-0.703340\pi\)
0.947762 + 0.318979i \(0.103340\pi\)
\(140\) 1.25420 12.4797i 0.105999 1.05473i
\(141\) −1.12976 + 1.42782i −0.0951429 + 0.120244i
\(142\) −4.95473 1.12132i −0.415792 0.0940993i
\(143\) 6.34789i 0.530838i
\(144\) 6.75997 + 9.91478i 0.563331 + 0.826232i
\(145\) −8.05733 2.34619i −0.669125 0.194841i
\(146\) 7.07920 + 16.4789i 0.585879 + 1.36380i
\(147\) −1.24843 + 0.830940i −0.102969 + 0.0685348i
\(148\) 7.28806 15.2770i 0.599075 1.25576i
\(149\) 20.1075i 1.64727i −0.567122 0.823634i \(-0.691943\pi\)
0.567122 0.823634i \(-0.308057\pi\)
\(150\) 11.1513 5.06443i 0.910500 0.413509i
\(151\) 7.94771i 0.646776i −0.946267 0.323388i \(-0.895178\pi\)
0.946267 0.323388i \(-0.104822\pi\)
\(152\) −19.8391 7.32139i −1.60916 0.593844i
\(153\) 2.54188 + 2.18679i 0.205499 + 0.176791i
\(154\) −6.75722 + 2.90285i −0.544512 + 0.233918i
\(155\) 12.2951 + 15.8707i 0.987568 + 1.27477i
\(156\) 1.67986 + 11.7398i 0.134497 + 0.939940i
\(157\) 21.0927i 1.68338i −0.539959 0.841691i \(-0.681560\pi\)
0.539959 0.841691i \(-0.318440\pi\)
\(158\) 1.56325 6.90744i 0.124365 0.549527i
\(159\) −2.61807 2.07154i −0.207626 0.164284i
\(160\) 1.75930 12.5262i 0.139085 0.990280i
\(161\) 3.46993 4.77595i 0.273469 0.376398i
\(162\) 12.3586 3.04399i 0.970981 0.239159i
\(163\) −4.21409 + 3.06171i −0.330073 + 0.239812i −0.740461 0.672099i \(-0.765393\pi\)
0.410389 + 0.911911i \(0.365393\pi\)
\(164\) −5.58835 + 11.7141i −0.436377 + 0.914720i
\(165\) −5.76619 4.28042i −0.448897 0.333230i
\(166\) −6.53612 + 5.73162i −0.507301 + 0.444860i
\(167\) 5.01679 + 1.63005i 0.388211 + 0.126137i 0.496618 0.867969i \(-0.334575\pi\)
−0.108407 + 0.994107i \(0.534575\pi\)
\(168\) −11.7287 + 7.15674i −0.904885 + 0.552154i
\(169\) 0.395392 1.21689i 0.0304148 0.0936070i
\(170\) −0.431545 3.50802i −0.0330980 0.269053i
\(171\) −14.6280 + 17.0033i −1.11863 + 1.30028i
\(172\) 7.51706 + 13.8470i 0.573171 + 1.05582i
\(173\) 13.1367 + 9.54436i 0.998764 + 0.725644i 0.961823 0.273673i \(-0.0882386\pi\)
0.0369410 + 0.999317i \(0.488239\pi\)
\(174\) 3.27876 + 8.58836i 0.248562 + 0.651082i
\(175\) 5.14635 + 13.0446i 0.389027 + 0.986078i
\(176\) −6.92455 + 2.65698i −0.521958 + 0.200277i
\(177\) −5.14801 + 13.8776i −0.386948 + 1.04310i
\(178\) 9.45926 + 22.0192i 0.709002 + 1.65041i
\(179\) 2.97647 + 9.16063i 0.222472 + 0.684697i 0.998538 + 0.0540466i \(0.0172119\pi\)
−0.776067 + 0.630651i \(0.782788\pi\)
\(180\) −11.7968 6.39032i −0.879279 0.476306i
\(181\) −3.65420 + 11.2465i −0.271614 + 0.835943i 0.718481 + 0.695546i \(0.244838\pi\)
−0.990095 + 0.140396i \(0.955162\pi\)
\(182\) −13.5218 + 1.24201i −1.00231 + 0.0920637i
\(183\) 1.56205 + 0.0641795i 0.115470 + 0.00474429i
\(184\) 3.68629 4.67502i 0.271757 0.344647i
\(185\) 0.582908 + 18.9153i 0.0428563 + 1.39068i
\(186\) 5.73085 21.2325i 0.420207 1.55684i
\(187\) −1.67663 + 1.21814i −0.122607 + 0.0890795i
\(188\) −1.52492 1.44729i −0.111216 0.105555i
\(189\) 2.76613 + 14.3083i 0.201206 + 1.04077i
\(190\) 23.4661 2.88673i 1.70241 0.209425i
\(191\) 16.3988 11.9144i 1.18657 0.862096i 0.193675 0.981066i \(-0.437959\pi\)
0.992898 + 0.118970i \(0.0379591\pi\)
\(192\) −12.1032 + 6.74630i −0.873473 + 0.486872i
\(193\) 7.83027i 0.563635i 0.959468 + 0.281818i \(0.0909373\pi\)
−0.959468 + 0.281818i \(0.909063\pi\)
\(194\) 5.50622 24.3300i 0.395323 1.74679i
\(195\) −7.68315 10.8063i −0.550202 0.773856i
\(196\) −0.826181 1.52189i −0.0590129 0.108706i
\(197\) −4.59514 14.1424i −0.327390 1.00760i −0.970350 0.241703i \(-0.922294\pi\)
0.642960 0.765900i \(-0.277706\pi\)
\(198\) 0.0744765 + 7.86636i 0.00529281 + 0.559038i
\(199\) 14.5552i 1.03179i 0.856652 + 0.515894i \(0.172540\pi\)
−0.856652 + 0.515894i \(0.827460\pi\)
\(200\) 4.66817 + 13.3495i 0.330090 + 0.943950i
\(201\) 0.699539 + 2.49752i 0.0493417 + 0.176161i
\(202\) 8.28711 + 4.93071i 0.583079 + 0.346923i
\(203\) −10.0106 + 3.25263i −0.702603 + 0.228290i
\(204\) −2.77841 + 2.69654i −0.194528 + 0.188795i
\(205\) −0.446963 14.5039i −0.0312173 1.01300i
\(206\) 18.6665 + 4.22448i 1.30055 + 0.294333i
\(207\) −3.28007 5.39595i −0.227981 0.375044i
\(208\) −13.6754 + 0.714784i −0.948219 + 0.0495613i
\(209\) −8.14851 11.2155i −0.563644 0.775790i
\(210\) 7.98967 13.1202i 0.551340 0.905382i
\(211\) 5.00382 6.88717i 0.344477 0.474132i −0.601265 0.799049i \(-0.705337\pi\)
0.945742 + 0.324917i \(0.105337\pi\)
\(212\) 2.65378 2.79611i 0.182262 0.192037i
\(213\) −4.87912 3.86060i −0.334312 0.264524i
\(214\) −11.9321 7.09943i −0.815663 0.485307i
\(215\) −14.5634 9.91028i −0.993219 0.675875i
\(216\) 2.21944 + 14.5284i 0.151014 + 0.988532i
\(217\) 23.9482 + 7.78125i 1.62571 + 0.528226i
\(218\) 0.285535 + 3.10865i 0.0193389 + 0.210544i
\(219\) −0.901750 + 21.9474i −0.0609346 + 1.48307i
\(220\) 5.52045 6.18756i 0.372189 0.417165i
\(221\) −3.63917 + 1.18244i −0.244797 + 0.0795394i
\(222\) 16.1345 13.0166i 1.08287 0.873620i
\(223\) −1.64427 1.19463i −0.110109 0.0799987i 0.531368 0.847141i \(-0.321678\pi\)
−0.641477 + 0.767142i \(0.721678\pi\)
\(224\) −7.01455 14.2304i −0.468679 0.950806i
\(225\) 14.9968 + 0.307680i 0.999790 + 0.0205120i
\(226\) −2.01424 21.9292i −0.133985 1.45871i
\(227\) 15.1887 20.9054i 1.00811 1.38754i 0.0878937 0.996130i \(-0.471986\pi\)
0.920215 0.391413i \(-0.128014\pi\)
\(228\) −18.0379 18.5856i −1.19459 1.23086i
\(229\) −0.894624 2.75337i −0.0591184 0.181948i 0.917136 0.398574i \(-0.130495\pi\)
−0.976255 + 0.216626i \(0.930495\pi\)
\(230\) −1.26858 + 6.53425i −0.0836475 + 0.430856i
\(231\) −8.99961 0.369765i −0.592131 0.0243288i
\(232\) −10.2169 + 2.88030i −0.670770 + 0.189101i
\(233\) −5.73497 + 17.6504i −0.375710 + 1.15632i 0.567288 + 0.823520i \(0.307993\pi\)
−0.942998 + 0.332798i \(0.892007\pi\)
\(234\) −4.35742 + 13.8557i −0.284853 + 0.905778i
\(235\) 2.25681 + 0.657154i 0.147218 + 0.0428680i
\(236\) −15.4260 7.35915i −1.00415 0.479040i
\(237\) 5.38211 6.80204i 0.349605 0.441840i
\(238\) −2.92285 3.33311i −0.189460 0.216053i
\(239\) −7.59666 5.51929i −0.491387 0.357013i 0.314331 0.949314i \(-0.398220\pi\)
−0.805717 + 0.592300i \(0.798220\pi\)
\(240\) 8.57213 12.9042i 0.553329 0.832963i
\(241\) 16.9165 12.2905i 1.08969 0.791704i 0.110340 0.993894i \(-0.464806\pi\)
0.979346 + 0.202190i \(0.0648059\pi\)
\(242\) 10.4304 + 2.36055i 0.670493 + 0.151742i
\(243\) 15.2610 + 3.17816i 0.978996 + 0.203879i
\(244\) −0.235753 + 1.78976i −0.0150925 + 0.114578i
\(245\) 1.60063 + 1.08921i 0.102261 + 0.0695873i
\(246\) −12.3716 + 9.98093i −0.788785 + 0.636361i
\(247\) −7.90966 24.3434i −0.503280 1.54894i
\(248\) 23.8240 + 8.79196i 1.51282 + 0.558290i
\(249\) −10.2524 + 2.87164i −0.649721 + 0.181983i
\(250\) −11.4774 10.8752i −0.725895 0.687806i
\(251\) −8.22153 −0.518938 −0.259469 0.965751i \(-0.583548\pi\)
−0.259469 + 0.965751i \(0.583548\pi\)
\(252\) −16.7418 + 1.69775i −1.05463 + 0.106948i
\(253\) 3.71187 1.20606i 0.233363 0.0758244i
\(254\) 3.14878 1.35269i 0.197572 0.0848755i
\(255\) 1.37983 4.10301i 0.0864084 0.256940i
\(256\) −6.50371 14.6185i −0.406482 0.913659i
\(257\) 11.5351 0.719538 0.359769 0.933041i \(-0.382855\pi\)
0.359769 + 0.933041i \(0.382855\pi\)
\(258\) 0.974678 + 19.2722i 0.0606808 + 1.19984i
\(259\) 13.9516 + 19.2028i 0.866913 + 1.19320i
\(260\) 13.2242 7.71557i 0.820131 0.478499i
\(261\) −0.923635 + 11.2211i −0.0571716 + 0.694566i
\(262\) −3.86148 4.40349i −0.238563 0.272048i
\(263\) −10.6114 14.6054i −0.654330 0.900608i 0.344947 0.938622i \(-0.387897\pi\)
−0.999277 + 0.0380143i \(0.987897\pi\)
\(264\) −9.05432 0.729889i −0.557255 0.0449216i
\(265\) −1.20497 + 4.13811i −0.0740205 + 0.254202i
\(266\) 22.2961 19.5518i 1.36706 1.19880i
\(267\) −1.20492 + 29.3263i −0.0737401 + 1.79474i
\(268\) −2.94476 + 0.545567i −0.179880 + 0.0333258i
\(269\) −6.82911 2.21891i −0.416378 0.135289i 0.0933334 0.995635i \(-0.470248\pi\)
−0.509711 + 0.860346i \(0.670248\pi\)
\(270\) −9.64780 13.3011i −0.587147 0.809481i
\(271\) 9.40434 3.05565i 0.571273 0.185618i −0.00911443 0.999958i \(-0.502901\pi\)
0.580387 + 0.814341i \(0.302901\pi\)
\(272\) −2.81307 3.47484i −0.170567 0.210693i
\(273\) −15.5923 5.78409i −0.943687 0.350069i
\(274\) 0.418531 + 4.55659i 0.0252844 + 0.275274i
\(275\) −2.31654 + 8.97693i −0.139693 + 0.541329i
\(276\) 6.54560 3.21278i 0.393999 0.193387i
\(277\) 1.96968 2.71103i 0.118347 0.162890i −0.745734 0.666244i \(-0.767901\pi\)
0.864080 + 0.503354i \(0.167901\pi\)
\(278\) 3.93581 + 9.16173i 0.236054 + 0.549484i
\(279\) 17.5662 20.4186i 1.05166 1.22243i
\(280\) 14.2604 + 10.5486i 0.852223 + 0.630402i
\(281\) −12.3397 4.00940i −0.736122 0.239181i −0.0831232 0.996539i \(-0.526490\pi\)
−0.652999 + 0.757359i \(0.726490\pi\)
\(282\) −0.918359 2.40555i −0.0546875 0.143248i
\(283\) 0.0785686 0.241809i 0.00467042 0.0143741i −0.948694 0.316195i \(-0.897595\pi\)
0.953365 + 0.301821i \(0.0975945\pi\)
\(284\) 4.94567 5.21092i 0.293472 0.309211i
\(285\) 27.4462 + 9.23008i 1.62577 + 0.546743i
\(286\) −7.71497 4.59029i −0.456196 0.271429i
\(287\) −10.6979 14.7244i −0.631475 0.869151i
\(288\) −16.9383 + 1.04621i −0.998098 + 0.0616486i
\(289\) 12.7426 + 9.25806i 0.749567 + 0.544592i
\(290\) 8.67788 8.09597i 0.509583 0.475412i
\(291\) 18.9573 23.9588i 1.11130 1.40449i
\(292\) −25.1469 3.31243i −1.47161 0.193845i
\(293\) 10.3849 0.606691 0.303345 0.952881i \(-0.401896\pi\)
0.303345 + 0.952881i \(0.401896\pi\)
\(294\) −0.107124 2.11816i −0.00624762 0.123534i
\(295\) 19.0998 0.588594i 1.11203 0.0342693i
\(296\) 13.2969 + 19.9047i 0.772866 + 1.15694i
\(297\) −4.08069 + 8.72786i −0.236786 + 0.506442i
\(298\) 24.4378 + 14.5401i 1.41564 + 0.842286i
\(299\) 7.20614 0.416742
\(300\) −1.90863 + 17.2150i −0.110195 + 0.993910i
\(301\) −22.0945 −1.27350
\(302\) 9.65932 + 5.74715i 0.555832 + 0.330711i
\(303\) 6.54380 + 9.83163i 0.375932 + 0.564812i
\(304\) 23.2442 18.8174i 1.33315 1.07925i
\(305\) −0.682517 1.89939i −0.0390808 0.108759i
\(306\) −4.49581 + 1.50798i −0.257009 + 0.0862056i
\(307\) −17.0538 −0.973314 −0.486657 0.873593i \(-0.661784\pi\)
−0.486657 + 0.873593i \(0.661784\pi\)
\(308\) 1.35827 10.3116i 0.0773948 0.587555i
\(309\) 18.3816 + 14.5444i 1.04569 + 0.827405i
\(310\) −28.1795 + 3.46655i −1.60049 + 0.196887i
\(311\) −19.8576 14.4274i −1.12602 0.818102i −0.140910 0.990022i \(-0.545003\pi\)
−0.985111 + 0.171920i \(0.945003\pi\)
\(312\) −15.4829 6.44768i −0.876545 0.365028i
\(313\) 5.67018 + 7.80433i 0.320497 + 0.441127i 0.938619 0.344956i \(-0.112106\pi\)
−0.618122 + 0.786083i \(0.712106\pi\)
\(314\) 25.6352 + 15.2526i 1.44668 + 0.860752i
\(315\) 15.7680 10.2632i 0.888426 0.578265i
\(316\) 7.26461 + 6.89482i 0.408666 + 0.387864i
\(317\) −5.41442 + 16.6639i −0.304104 + 0.935936i 0.675906 + 0.736988i \(0.263753\pi\)
−0.980010 + 0.198948i \(0.936247\pi\)
\(318\) 4.41084 1.68392i 0.247348 0.0944293i
\(319\) −6.61824 2.15040i −0.370550 0.120399i
\(320\) 13.9516 + 11.1961i 0.779919 + 0.625881i
\(321\) −9.42203 14.1560i −0.525887 0.790109i
\(322\) 3.29532 + 7.67080i 0.183641 + 0.427477i
\(323\) 4.91184 6.76057i 0.273302 0.376168i
\(324\) −5.23718 + 17.2213i −0.290955 + 0.956737i
\(325\) −9.18966 + 14.4417i −0.509751 + 0.801081i
\(326\) −0.673790 7.33561i −0.0373178 0.406282i
\(327\) −1.32975 + 3.58463i −0.0735354 + 0.198231i
\(328\) −10.1958 15.2626i −0.562970 0.842735i
\(329\) 2.80389 0.911040i 0.154584 0.0502273i
\(330\) 9.37190 3.91273i 0.515906 0.215389i
\(331\) −24.1449 7.84515i −1.32712 0.431208i −0.442188 0.896922i \(-0.645798\pi\)
−0.884935 + 0.465714i \(0.845798\pi\)
\(332\) −2.23958 12.0884i −0.122913 0.663436i
\(333\) 24.7092 5.83847i 1.35405 0.319946i
\(334\) −5.60884 + 4.91848i −0.306902 + 0.269127i
\(335\) 2.64698 2.05063i 0.144620 0.112038i
\(336\) −0.216778 19.4297i −0.0118262 1.05998i
\(337\) 6.24918 + 8.60126i 0.340415 + 0.468540i 0.944562 0.328332i \(-0.106486\pi\)
−0.604148 + 0.796872i \(0.706486\pi\)
\(338\) 1.19304 + 1.36050i 0.0648930 + 0.0740015i
\(339\) 9.38042 25.2870i 0.509475 1.37340i
\(340\) 4.57556 + 2.01224i 0.248145 + 0.109129i
\(341\) 9.78520 + 13.4682i 0.529898 + 0.729343i
\(342\) −10.0873 30.0738i −0.545460 1.62620i
\(343\) −17.2039 −0.928925
\(344\) −22.2648 0.877122i −1.20044 0.0472913i
\(345\) −4.85914 + 6.54578i −0.261607 + 0.352413i
\(346\) −21.0992 + 9.06407i −1.13430 + 0.487287i
\(347\) −30.8425 + 10.0213i −1.65571 + 0.537974i −0.979967 0.199161i \(-0.936178\pi\)
−0.675746 + 0.737135i \(0.736178\pi\)
\(348\) −12.8089 2.22555i −0.686628 0.119302i
\(349\) −3.26785 −0.174924 −0.0874621 0.996168i \(-0.527876\pi\)
−0.0874621 + 0.996168i \(0.527876\pi\)
\(350\) −19.5753 3.17814i −1.04634 0.169879i
\(351\) −12.1454 + 12.9978i −0.648273 + 0.693771i
\(352\) 1.77810 10.3371i 0.0947731 0.550971i
\(353\) −5.15615 15.8690i −0.274434 0.844621i −0.989369 0.145430i \(-0.953544\pi\)
0.714935 0.699191i \(-0.246456\pi\)
\(354\) −13.1436 16.2918i −0.698575 0.865901i
\(355\) −2.24562 + 7.71193i −0.119185 + 0.409307i
\(356\) −33.6014 4.42609i −1.78087 0.234582i
\(357\) −1.46440 5.22825i −0.0775042 0.276708i
\(358\) −13.2858 3.00676i −0.702176 0.158912i
\(359\) −7.34053 + 5.33320i −0.387418 + 0.281476i −0.764397 0.644746i \(-0.776963\pi\)
0.376979 + 0.926222i \(0.376963\pi\)
\(360\) 16.2970 9.71634i 0.858928 0.512096i
\(361\) 29.8520 + 21.6888i 1.57116 + 1.14151i
\(362\) −11.0261 12.5737i −0.579517 0.660859i
\(363\) 10.2713 + 8.12712i 0.539101 + 0.426563i
\(364\) 8.26843 17.3320i 0.433384 0.908445i
\(365\) 26.6873 9.58965i 1.39687 0.501945i
\(366\) −1.20755 + 1.85204i −0.0631196 + 0.0968076i
\(367\) 3.80297 11.7043i 0.198513 0.610961i −0.801404 0.598123i \(-0.795913\pi\)
0.999918 0.0128379i \(-0.00408653\pi\)
\(368\) 3.01621 + 7.86076i 0.157231 + 0.409771i
\(369\) −18.9465 + 4.47683i −0.986318 + 0.233055i
\(370\) −23.4104 12.9696i −1.21705 0.674257i
\(371\) 1.67050 + 5.14126i 0.0867278 + 0.266921i
\(372\) 21.6610 + 22.3187i 1.12307 + 1.15717i
\(373\) −0.909305 + 1.25155i −0.0470820 + 0.0648029i −0.831909 0.554912i \(-0.812752\pi\)
0.784827 + 0.619715i \(0.212752\pi\)
\(374\) −0.268077 2.91857i −0.0138619 0.150916i
\(375\) −6.92164 18.0857i −0.357432 0.933939i
\(376\) 2.86168 0.806753i 0.147580 0.0416051i
\(377\) −10.3946 7.55215i −0.535351 0.388955i
\(378\) −19.3899 6.98475i −0.997309 0.359257i
\(379\) 6.13362 1.99293i 0.315063 0.102370i −0.147217 0.989104i \(-0.547032\pi\)
0.462280 + 0.886734i \(0.347032\pi\)
\(380\) −13.4604 + 30.6072i −0.690504 + 1.57012i
\(381\) 4.19371 + 0.172306i 0.214850 + 0.00882752i
\(382\) 2.62200 + 28.5459i 0.134153 + 1.46054i
\(383\) 13.7803 + 4.47749i 0.704140 + 0.228789i 0.639133 0.769096i \(-0.279293\pi\)
0.0650064 + 0.997885i \(0.479293\pi\)
\(384\) 0.552885 19.5881i 0.0282143 0.999602i
\(385\) 3.93227 + 10.9432i 0.200407 + 0.557717i
\(386\) −9.51659 5.66223i −0.484382 0.288200i
\(387\) −9.12252 + 21.8021i −0.463724 + 1.10827i
\(388\) 25.5881 + 24.2856i 1.29904 + 1.23291i
\(389\) −12.9514 + 17.8261i −0.656663 + 0.903819i −0.999365 0.0356248i \(-0.988658\pi\)
0.342702 + 0.939444i \(0.388658\pi\)
\(390\) 18.6894 1.52352i 0.946374 0.0771466i
\(391\) 1.38284 + 1.90331i 0.0699332 + 0.0962548i
\(392\) 2.44707 + 0.0964023i 0.123596 + 0.00486905i
\(393\) −1.93467 6.90722i −0.0975911 0.348423i
\(394\) 20.5109 + 4.64190i 1.03332 + 0.233855i
\(395\) −10.7513 3.13064i −0.540956 0.157520i
\(396\) −9.61430 5.59780i −0.483137 0.281300i
\(397\) −17.5994 + 5.71840i −0.883290 + 0.286998i −0.715323 0.698794i \(-0.753720\pi\)
−0.167967 + 0.985793i \(0.553720\pi\)
\(398\) −17.6898 10.5251i −0.886707 0.527577i
\(399\) 34.9732 9.79577i 1.75085 0.490402i
\(400\) −19.6000 3.97976i −0.980002 0.198988i
\(401\) 17.2591i 0.861877i −0.902381 0.430939i \(-0.858183\pi\)
0.902381 0.430939i \(-0.141817\pi\)
\(402\) −3.54123 0.955814i −0.176620 0.0476717i
\(403\) 9.49838 + 29.2330i 0.473148 + 1.45620i
\(404\) −11.9852 + 6.50633i −0.596284 + 0.323702i
\(405\) −3.61698 19.7969i −0.179729 0.983716i
\(406\) 3.28572 14.5185i 0.163068 0.720539i
\(407\) 15.6925i 0.777846i
\(408\) −1.26813 5.32669i −0.0627820 0.263711i
\(409\) −5.74671 + 4.17523i −0.284156 + 0.206452i −0.720728 0.693218i \(-0.756192\pi\)
0.436572 + 0.899669i \(0.356192\pi\)
\(410\) 17.9507 + 9.94484i 0.886520 + 0.491141i
\(411\) −1.94912 + 5.25428i −0.0961430 + 0.259174i
\(412\) −18.6324 + 19.6317i −0.917950 + 0.967183i
\(413\) 19.3901 14.0877i 0.954125 0.693212i
\(414\) 8.92990 0.0845458i 0.438881 0.00415520i
\(415\) 8.41792 + 10.8660i 0.413220 + 0.533390i
\(416\) 9.02024 17.1374i 0.442254 0.840231i
\(417\) −0.501344 + 12.2021i −0.0245509 + 0.597538i
\(418\) 19.5232 1.79324i 0.954909 0.0877102i
\(419\) −0.662387 + 2.03862i −0.0323597 + 0.0995929i −0.965932 0.258797i \(-0.916674\pi\)
0.933572 + 0.358390i \(0.116674\pi\)
\(420\) 10.1683 + 19.1978i 0.496162 + 0.936758i
\(421\) −4.44421 13.6779i −0.216597 0.666618i −0.999036 0.0438909i \(-0.986025\pi\)
0.782439 0.622727i \(-0.213975\pi\)
\(422\) 4.75202 + 11.0617i 0.231325 + 0.538474i
\(423\) 0.258704 3.14295i 0.0125786 0.152815i
\(424\) 1.47927 + 5.24721i 0.0718399 + 0.254827i
\(425\) −5.57787 + 0.344111i −0.270566 + 0.0166918i
\(426\) 8.22020 3.13820i 0.398270 0.152047i
\(427\) −2.04800 1.48796i −0.0991097 0.0720074i
\(428\) 17.2567 9.36807i 0.834135 0.452823i
\(429\) −6.09202 9.15285i −0.294125 0.441904i
\(430\) 22.5757 10.5335i 1.08870 0.507970i
\(431\) −5.45008 + 16.7736i −0.262521 + 0.807957i 0.729733 + 0.683732i \(0.239644\pi\)
−0.992254 + 0.124225i \(0.960356\pi\)
\(432\) −19.2621 7.80836i −0.926750 0.375680i
\(433\) −2.32032 0.753918i −0.111508 0.0362310i 0.252732 0.967536i \(-0.418671\pi\)
−0.364239 + 0.931305i \(0.618671\pi\)
\(434\) −26.7744 + 23.4789i −1.28521 + 1.12702i
\(435\) 13.8693 4.34964i 0.664980 0.208549i
\(436\) −3.98460 1.90090i −0.190828 0.0910365i
\(437\) −12.7318 + 9.25020i −0.609045 + 0.442497i
\(438\) −26.0219 16.9666i −1.24338 0.810694i
\(439\) −19.5188 + 26.8653i −0.931579 + 1.28221i 0.0276608 + 0.999617i \(0.491194\pi\)
−0.959240 + 0.282592i \(0.908806\pi\)
\(440\) 3.52816 + 11.1837i 0.168198 + 0.533161i
\(441\) 1.00263 2.39622i 0.0477444 0.114106i
\(442\) 1.19447 5.27794i 0.0568152 0.251046i
\(443\) 25.0316i 1.18929i 0.803990 + 0.594643i \(0.202707\pi\)
−0.803990 + 0.594643i \(0.797293\pi\)
\(444\) 4.15275 + 29.0218i 0.197081 + 1.37731i
\(445\) 35.6596 12.8137i 1.69043 0.607429i
\(446\) 2.64092 1.13452i 0.125051 0.0537210i
\(447\) 19.2969 + 28.9924i 0.912714 + 1.37129i
\(448\) 22.3674 + 1.76506i 1.05676 + 0.0833913i
\(449\) 32.0071i 1.51051i 0.655433 + 0.755253i \(0.272486\pi\)
−0.655433 + 0.755253i \(0.727514\pi\)
\(450\) −11.2185 + 18.0041i −0.528843 + 0.848720i
\(451\) 12.0327i 0.566598i
\(452\) 28.1084 + 13.4094i 1.32211 + 0.630727i
\(453\) 7.62735 + 11.4596i 0.358364 + 0.538418i
\(454\) 14.4244 + 33.5769i 0.676969 + 1.57584i
\(455\) 0.661319 + 21.4597i 0.0310031 + 1.00605i
\(456\) 35.6317 8.48291i 1.66861 0.397249i
\(457\) 27.8514i 1.30283i −0.758721 0.651416i \(-0.774175\pi\)
0.758721 0.651416i \(-0.225825\pi\)
\(458\) 3.99325 + 0.903728i 0.186593 + 0.0422284i
\(459\) −5.76370 0.713651i −0.269026 0.0333104i
\(460\) −7.02412 6.26682i −0.327501 0.292192i
\(461\) 2.72769 3.75434i 0.127041 0.174857i −0.740758 0.671771i \(-0.765534\pi\)
0.867800 + 0.496914i \(0.165534\pi\)
\(462\) 6.95720 10.6704i 0.323678 0.496431i
\(463\) −12.0343 + 8.74343i −0.559281 + 0.406341i −0.831196 0.555980i \(-0.812343\pi\)
0.271915 + 0.962321i \(0.412343\pi\)
\(464\) 3.88742 14.5000i 0.180469 0.673143i
\(465\) −32.9590 11.0840i −1.52844 0.514009i
\(466\) −17.3045 19.7334i −0.801617 0.914133i
\(467\) 6.19271 + 2.01213i 0.286564 + 0.0931104i 0.448772 0.893646i \(-0.351861\pi\)
−0.162208 + 0.986757i \(0.551861\pi\)
\(468\) −13.6888 15.3152i −0.632763 0.707945i
\(469\) 1.29779 3.99418i 0.0599262 0.184434i
\(470\) −2.43062 + 2.26763i −0.112116 + 0.104598i
\(471\) 20.2425 + 30.4130i 0.932725 + 1.40136i
\(472\) 20.0989 13.4266i 0.925126 0.618009i
\(473\) −11.8175 8.58592i −0.543369 0.394781i
\(474\) 4.37501 + 11.4599i 0.200951 + 0.526370i
\(475\) −2.30185 37.3119i −0.105616 1.71199i
\(476\) 6.16450 1.14208i 0.282549 0.0523470i
\(477\) 5.76296 + 0.474364i 0.263868 + 0.0217196i
\(478\) 12.2012 5.24155i 0.558071 0.239743i
\(479\) −5.73304 17.6445i −0.261949 0.806197i −0.992381 0.123211i \(-0.960681\pi\)
0.730431 0.682986i \(-0.239319\pi\)
\(480\) 9.48457 + 19.7495i 0.432909 + 0.901437i
\(481\) −8.95343 + 27.5558i −0.408241 + 1.25644i
\(482\) 2.70478 + 29.4471i 0.123199 + 1.34128i
\(483\) −0.419758 + 10.2164i −0.0190997 + 0.464861i
\(484\) −10.4114 + 10.9697i −0.473243 + 0.498625i
\(485\) −37.8692 11.0270i −1.71955 0.500712i
\(486\) −14.8982 + 16.2494i −0.675795 + 0.737090i
\(487\) 15.6066 11.3389i 0.707203 0.513813i −0.175067 0.984556i \(-0.556014\pi\)
0.882270 + 0.470744i \(0.156014\pi\)
\(488\) −2.00472 1.58073i −0.0907494 0.0715565i
\(489\) 3.13787 8.45882i 0.141899 0.382521i
\(490\) −2.48123 + 1.15771i −0.112091 + 0.0523000i
\(491\) −4.69454 + 3.41078i −0.211862 + 0.153926i −0.688656 0.725089i \(-0.741799\pi\)
0.476794 + 0.879015i \(0.341799\pi\)
\(492\) −3.18425 22.2534i −0.143557 1.00326i
\(493\) 4.19471i 0.188920i
\(494\) 35.3056 + 7.99015i 1.58848 + 0.359494i
\(495\) 12.4220 + 0.638062i 0.558327 + 0.0286787i
\(496\) −27.9130 + 22.5970i −1.25333 + 1.01464i
\(497\) 3.11319 + 9.58142i 0.139646 + 0.429786i
\(498\) 3.92366 14.5369i 0.175823 0.651415i
\(499\) 20.7222i 0.927654i 0.885926 + 0.463827i \(0.153524\pi\)
−0.885926 + 0.463827i \(0.846476\pi\)
\(500\) 21.5168 6.08512i 0.962259 0.272135i
\(501\) −8.79792 + 2.46424i −0.393062 + 0.110094i
\(502\) 5.94515 9.99211i 0.265345 0.445970i
\(503\) −33.8991 + 11.0145i −1.51149 + 0.491111i −0.943343 0.331819i \(-0.892338\pi\)
−0.568142 + 0.822931i \(0.692338\pi\)
\(504\) 10.0430 21.5750i 0.447349 0.961026i
\(505\) 8.57775 12.6053i 0.381705 0.560927i
\(506\) −1.21833 + 5.38338i −0.0541615 + 0.239321i
\(507\) 0.597735 + 2.13405i 0.0265463 + 0.0947767i
\(508\) −0.632939 + 4.80506i −0.0280821 + 0.213190i
\(509\) −2.25059 3.09767i −0.0997557 0.137302i 0.756221 0.654316i \(-0.227043\pi\)
−0.855977 + 0.517014i \(0.827043\pi\)
\(510\) 3.98885 + 4.64396i 0.176629 + 0.205638i
\(511\) 20.9065 28.7753i 0.924847 1.27294i
\(512\) 22.4697 + 2.66663i 0.993031 + 0.117849i
\(513\) 4.77381 38.5550i 0.210769 1.70224i
\(514\) −8.34125 + 14.0193i −0.367917 + 0.618363i
\(515\) 8.46015 29.0540i 0.372799 1.28027i
\(516\) −24.1275 12.7516i −1.06215 0.561356i
\(517\) 1.85373 + 0.602312i 0.0815268 + 0.0264897i
\(518\) −33.4270 + 3.07033i −1.46870 + 0.134903i
\(519\) −28.1010 1.15458i −1.23350 0.0506806i
\(520\) −0.185505 + 21.6514i −0.00813494 + 0.949479i
\(521\) 27.7287 9.00962i 1.21482 0.394718i 0.369626 0.929181i \(-0.379486\pi\)
0.845192 + 0.534462i \(0.179486\pi\)
\(522\) −12.9697 9.23672i −0.567669 0.404280i
\(523\) −5.18001 3.76350i −0.226506 0.164566i 0.468744 0.883334i \(-0.344707\pi\)
−0.695250 + 0.718768i \(0.744707\pi\)
\(524\) 8.14413 1.50884i 0.355778 0.0659139i
\(525\) −19.9391 13.8697i −0.870215 0.605324i
\(526\) 25.4242 2.33526i 1.10855 0.101822i
\(527\) −5.89843 + 8.11849i −0.256940 + 0.353647i
\(528\) 7.43444 10.4765i 0.323542 0.455929i
\(529\) 5.73827 + 17.6606i 0.249490 + 0.767851i
\(530\) −4.15796 4.45682i −0.180610 0.193592i
\(531\) −5.89542 24.9502i −0.255839 1.08275i
\(532\) 7.63967 + 41.2360i 0.331222 + 1.78781i
\(533\) 6.86533 21.1293i 0.297370 0.915212i
\(534\) −34.7706 22.6708i −1.50467 0.981062i
\(535\) −12.3506 + 18.1496i −0.533963 + 0.784674i
\(536\) 1.46636 3.97345i 0.0633369 0.171627i
\(537\) −13.0831 10.3520i −0.564575 0.446720i
\(538\) 7.63504 6.69528i 0.329170 0.288654i
\(539\) 1.29883 + 0.943656i 0.0559446 + 0.0406461i
\(540\) 23.1422 2.10723i 0.995880 0.0906809i
\(541\) 18.7149 13.5972i 0.804617 0.584589i −0.107648 0.994189i \(-0.534332\pi\)
0.912265 + 0.409600i \(0.134332\pi\)
\(542\) −3.08675 + 13.6392i −0.132587 + 0.585856i
\(543\) −5.52424 19.7228i −0.237068 0.846388i
\(544\) 6.25736 0.906160i 0.268282 0.0388513i
\(545\) 4.93355 0.152036i 0.211330 0.00651252i
\(546\) 18.3048 14.7676i 0.783374 0.631995i
\(547\) −1.11144 3.42065i −0.0475216 0.146256i 0.924480 0.381230i \(-0.124500\pi\)
−0.972002 + 0.234974i \(0.924500\pi\)
\(548\) −5.84054 2.78629i −0.249495 0.119025i
\(549\) −2.31386 + 1.40654i −0.0987533 + 0.0600298i
\(550\) −9.23505 9.30682i −0.393784 0.396844i
\(551\) 28.0596 1.19538
\(552\) −0.828571 + 10.2785i −0.0352663 + 0.437481i
\(553\) −13.3576 + 4.34014i −0.568022 + 0.184561i
\(554\) 1.87056 + 4.35427i 0.0794726 + 0.184995i
\(555\) −18.9933 26.7140i −0.806221 1.13395i
\(556\) −13.9809 1.84161i −0.592921 0.0781016i
\(557\) −28.3445 −1.20100 −0.600498 0.799626i \(-0.705031\pi\)
−0.600498 + 0.799626i \(0.705031\pi\)
\(558\) 12.1134 + 36.1143i 0.512803 + 1.52884i
\(559\) −15.8527 21.8193i −0.670497 0.922860i
\(560\) −23.1324 + 9.70359i −0.977522 + 0.410052i
\(561\) 1.24845 3.36546i 0.0527094 0.142090i
\(562\) 13.7959 12.0978i 0.581946 0.510317i
\(563\) −18.1788 25.0210i −0.766146 1.05451i −0.996678 0.0814444i \(-0.974047\pi\)
0.230532 0.973065i \(-0.425953\pi\)
\(564\) 3.58769 + 0.623363i 0.151069 + 0.0262483i
\(565\) −34.8026 + 1.07250i −1.46416 + 0.0451206i
\(566\) 0.237071 + 0.270346i 0.00996482 + 0.0113635i
\(567\) −17.7199 17.9760i −0.744166 0.754923i
\(568\) 2.75683 + 9.77889i 0.115674 + 0.410313i
\(569\) 33.1483 + 10.7705i 1.38965 + 0.451524i 0.905829 0.423644i \(-0.139249\pi\)
0.483819 + 0.875168i \(0.339249\pi\)
\(570\) −31.0647 + 26.6825i −1.30116 + 1.11761i
\(571\) 18.3366 5.95791i 0.767361 0.249331i 0.100926 0.994894i \(-0.467819\pi\)
0.666435 + 0.745563i \(0.267819\pi\)
\(572\) 11.1577 6.05713i 0.466527 0.253261i
\(573\) −12.2108 + 32.9168i −0.510112 + 1.37512i
\(574\) 25.6312 2.35428i 1.06983 0.0982656i
\(575\) 10.1906 + 2.62974i 0.424978 + 0.109668i
\(576\) 10.9769 21.3426i 0.457370 0.889276i
\(577\) −19.8382 + 27.3049i −0.825874 + 1.13672i 0.162803 + 0.986659i \(0.447946\pi\)
−0.988677 + 0.150059i \(0.952054\pi\)
\(578\) −20.4663 + 8.79218i −0.851287 + 0.365706i
\(579\) −7.51464 11.2902i −0.312298 0.469207i
\(580\) 3.56436 + 16.4011i 0.148002 + 0.681019i
\(581\) 16.3963 + 5.32747i 0.680232 + 0.221021i
\(582\) 15.4101 + 40.3650i 0.638767 + 1.67318i
\(583\) −1.10441 + 3.39902i −0.0457399 + 0.140773i
\(584\) 22.2100 28.1672i 0.919056 1.16557i
\(585\) 21.4488 + 8.20787i 0.886800 + 0.339354i
\(586\) −7.50951 + 12.6213i −0.310215 + 0.521383i
\(587\) −11.2432 15.4749i −0.464057 0.638719i 0.511287 0.859410i \(-0.329169\pi\)
−0.975344 + 0.220691i \(0.929169\pi\)
\(588\) 2.65179 + 1.40149i 0.109358 + 0.0577965i
\(589\) −54.3068 39.4562i −2.23767 1.62577i
\(590\) −13.0961 + 23.6387i −0.539158 + 0.973191i
\(591\) 20.1979 + 15.9816i 0.830831 + 0.657394i
\(592\) −33.8066 + 1.76700i −1.38944 + 0.0726232i
\(593\) 8.54639 0.350958 0.175479 0.984483i \(-0.443853\pi\)
0.175479 + 0.984483i \(0.443853\pi\)
\(594\) −7.65666 11.2708i −0.314156 0.462447i
\(595\) −5.54113 + 4.29274i −0.227164 + 0.175985i
\(596\) −35.3429 + 19.1864i −1.44770 + 0.785907i
\(597\) −13.9685 20.9867i −0.571691 0.858928i
\(598\) −5.21090 + 8.75804i −0.213090 + 0.358143i
\(599\) −34.9700 −1.42884 −0.714419 0.699719i \(-0.753309\pi\)
−0.714419 + 0.699719i \(0.753309\pi\)
\(600\) −19.5423 14.7682i −0.797810 0.602909i
\(601\) −25.6951 −1.04813 −0.524063 0.851679i \(-0.675585\pi\)
−0.524063 + 0.851679i \(0.675585\pi\)
\(602\) 15.9770 26.8527i 0.651172 1.09444i
\(603\) −3.40549 2.92976i −0.138682 0.119309i
\(604\) −13.9697 + 7.58366i −0.568419 + 0.308575i
\(605\) 4.72735 16.2347i 0.192194 0.660036i
\(606\) −16.6809 + 0.843624i −0.677616 + 0.0342699i
\(607\) 33.7114 1.36830 0.684152 0.729340i \(-0.260173\pi\)
0.684152 + 0.729340i \(0.260173\pi\)
\(608\) 6.06156 + 41.8573i 0.245829 + 1.69754i
\(609\) 11.3124 14.2969i 0.458402 0.579340i
\(610\) 2.80198 + 0.543985i 0.113449 + 0.0220253i
\(611\) 2.91147 + 2.11531i 0.117786 + 0.0855763i
\(612\) 1.41827 6.55448i 0.0573303 0.264949i
\(613\) 13.7296 + 18.8972i 0.554535 + 0.763252i 0.990619 0.136654i \(-0.0436349\pi\)
−0.436084 + 0.899906i \(0.643635\pi\)
\(614\) 12.3320 20.7265i 0.497678 0.836455i
\(615\) 14.5637 + 20.4838i 0.587266 + 0.825987i
\(616\) 11.5500 + 9.10728i 0.465364 + 0.366943i
\(617\) 2.44863 7.53611i 0.0985782 0.303392i −0.889591 0.456757i \(-0.849011\pi\)
0.988170 + 0.153365i \(0.0490109\pi\)
\(618\) −30.9688 + 11.8229i −1.24575 + 0.475587i
\(619\) 17.1069 + 5.55838i 0.687586 + 0.223410i 0.631913 0.775039i \(-0.282270\pi\)
0.0556723 + 0.998449i \(0.482270\pi\)
\(620\) 16.1640 36.7549i 0.649163 1.47611i
\(621\) 9.90788 + 4.63241i 0.397590 + 0.185892i
\(622\) 31.8939 13.7014i 1.27883 0.549375i
\(623\) 27.9353 38.4497i 1.11920 1.54045i
\(624\) 19.0322 14.1548i 0.761898 0.566645i
\(625\) −18.2658 + 17.0692i −0.730634 + 0.682770i
\(626\) −13.5853 + 1.24783i −0.542977 + 0.0498735i
\(627\) 22.5125 + 8.35120i 0.899062 + 0.333515i
\(628\) −37.0747 + 20.1266i −1.47944 + 0.803137i
\(629\) −8.99630 + 2.92307i −0.358706 + 0.116551i
\(630\) 1.07129 + 26.5853i 0.0426811 + 1.05918i
\(631\) 36.7577 + 11.9433i 1.46330 + 0.475455i 0.929076 0.369888i \(-0.120604\pi\)
0.534224 + 0.845343i \(0.320604\pi\)
\(632\) −13.6329 + 3.84332i −0.542286 + 0.152879i
\(633\) −0.605313 + 14.7325i −0.0240590 + 0.585565i
\(634\) −16.3373 18.6304i −0.648837 0.739909i
\(635\) −1.83239 5.09940i −0.0727161 0.202363i
\(636\) −1.14301 + 6.57843i −0.0453232 + 0.260852i
\(637\) 1.74233 + 2.39811i 0.0690335 + 0.0950165i
\(638\) 7.39928 6.48854i 0.292940 0.256884i
\(639\) 10.7400 + 0.884041i 0.424870 + 0.0349721i
\(640\) −23.6960 + 8.86009i −0.936665 + 0.350226i
\(641\) 22.8319 + 31.4254i 0.901806 + 1.24123i 0.969888 + 0.243550i \(0.0783120\pi\)
−0.0680821 + 0.997680i \(0.521688\pi\)
\(642\) 24.0178 1.21468i 0.947909 0.0479397i
\(643\) 17.5439 0.691864 0.345932 0.938260i \(-0.387563\pi\)
0.345932 + 0.938260i \(0.387563\pi\)
\(644\) −11.7057 1.54191i −0.461269 0.0607599i
\(645\) 30.5094 + 0.312937i 1.20131 + 0.0123219i
\(646\) 4.66467 + 10.8584i 0.183529 + 0.427216i
\(647\) 17.8336 5.79448i 0.701110 0.227804i 0.0632959 0.997995i \(-0.479839\pi\)
0.637814 + 0.770190i \(0.279839\pi\)
\(648\) −17.1429 18.8181i −0.673437 0.739245i
\(649\) 15.8455 0.621991
\(650\) −10.9066 21.6118i −0.427792 0.847685i
\(651\) −41.9978 + 11.7633i −1.64603 + 0.461041i
\(652\) 9.40263 + 4.48563i 0.368236 + 0.175671i
\(653\) −1.36907 4.21357i −0.0535759 0.164890i 0.920688 0.390299i \(-0.127628\pi\)
−0.974264 + 0.225409i \(0.927628\pi\)
\(654\) −3.39505 4.20825i −0.132757 0.164555i
\(655\) −7.32058 + 5.67129i −0.286039 + 0.221595i
\(656\) 25.9223 1.35490i 1.01210 0.0529000i
\(657\) −19.7625 32.5108i −0.771010 1.26837i
\(658\) −0.920310 + 4.06653i −0.0358774 + 0.158530i
\(659\) 9.45627 6.87038i 0.368364 0.267632i −0.388168 0.921589i \(-0.626892\pi\)
0.756532 + 0.653956i \(0.226892\pi\)
\(660\) −2.02164 + 14.2196i −0.0786921 + 0.553497i
\(661\) −2.32708 1.69072i −0.0905129 0.0657615i 0.541608 0.840631i \(-0.317816\pi\)
−0.632121 + 0.774869i \(0.717816\pi\)
\(662\) 26.9943 23.6717i 1.04916 0.920028i
\(663\) 4.11244 5.19740i 0.159714 0.201850i
\(664\) 16.3112 + 6.01946i 0.632998 + 0.233600i
\(665\) −28.7153 37.0662i −1.11353 1.43736i
\(666\) −10.7719 + 34.2524i −0.417401 + 1.32725i
\(667\) −2.44113 + 7.51303i −0.0945210 + 0.290906i
\(668\) −1.92185 10.3734i −0.0743586 0.401359i
\(669\) 3.51731 + 0.144515i 0.135987 + 0.00558728i
\(670\) 0.578165 + 4.69988i 0.0223364 + 0.181572i
\(671\) −0.517177 1.59171i −0.0199654 0.0614471i
\(672\) 23.7708 + 13.7865i 0.916979 + 0.531828i
\(673\) 17.4636 24.0366i 0.673172 0.926542i −0.326655 0.945144i \(-0.605921\pi\)
0.999827 + 0.0186014i \(0.00592136\pi\)
\(674\) −14.9725 + 1.37525i −0.576720 + 0.0529728i
\(675\) −21.9188 + 13.9487i −0.843655 + 0.536886i
\(676\) −2.51621 + 0.466170i −0.0967773 + 0.0179296i
\(677\) −22.0160 15.9956i −0.846144 0.614760i 0.0779360 0.996958i \(-0.475167\pi\)
−0.924080 + 0.382199i \(0.875167\pi\)
\(678\) 23.9496 + 29.6861i 0.919778 + 1.14009i
\(679\) −47.0493 + 15.2872i −1.80559 + 0.586670i
\(680\) −5.75427 + 4.10586i −0.220666 + 0.157453i
\(681\) −1.83738 + 44.7194i −0.0704085 + 1.71365i
\(682\) −23.4445 + 2.15343i −0.897738 + 0.0824589i
\(683\) 8.56408 + 2.78264i 0.327695 + 0.106475i 0.468244 0.883599i \(-0.344887\pi\)
−0.140549 + 0.990074i \(0.544887\pi\)
\(684\) 43.8447 + 9.48722i 1.67645 + 0.362753i
\(685\) 7.23149 0.222851i 0.276301 0.00851471i
\(686\) 12.4405 20.9089i 0.474981 0.798307i
\(687\) 3.93232 + 3.11144i 0.150027 + 0.118709i
\(688\) 17.1662 26.4255i 0.654454 1.00746i
\(689\) −3.87866 + 5.33852i −0.147765 + 0.203381i
\(690\) −4.44173 10.6390i −0.169094 0.405019i
\(691\) −9.28419 12.7786i −0.353187 0.486121i 0.595048 0.803690i \(-0.297133\pi\)
−0.948235 + 0.317570i \(0.897133\pi\)
\(692\) 4.24117 32.1975i 0.161225 1.22397i
\(693\) 13.3311 8.10369i 0.506408 0.307834i
\(694\) 10.1233 44.7313i 0.384276 1.69798i
\(695\) 14.8373 5.33154i 0.562810 0.202237i
\(696\) 11.9672 13.9580i 0.453616 0.529078i
\(697\) 6.89820 2.24136i 0.261288 0.0848976i
\(698\) 2.36305 3.97161i 0.0894428 0.150328i
\(699\) −8.66986 30.9534i −0.327924 1.17077i
\(700\) 18.0179 21.4928i 0.681011 0.812352i
\(701\) 38.6678i 1.46046i 0.683201 + 0.730231i \(0.260587\pi\)
−0.683201 + 0.730231i \(0.739413\pi\)
\(702\) −7.01440 24.1600i −0.264741 0.911860i
\(703\) −19.5533 60.1787i −0.737465 2.26968i
\(704\) 11.2775 + 9.63602i 0.425039 + 0.363171i
\(705\) −3.88469 + 1.21831i −0.146306 + 0.0458841i
\(706\) 23.0150 + 5.20861i 0.866182 + 0.196029i
\(707\) 19.1237i 0.719220i
\(708\) 29.3048 4.19325i 1.10134 0.157592i
\(709\) −26.7600 + 19.4423i −1.00499 + 0.730171i −0.963153 0.268953i \(-0.913322\pi\)
−0.0418412 + 0.999124i \(0.513322\pi\)
\(710\) −7.74892 8.30588i −0.290812 0.311714i
\(711\) −1.23245 + 14.9728i −0.0462206 + 0.561525i
\(712\) 29.6771 37.6371i 1.11220 1.41051i
\(713\) 15.2891 11.1082i 0.572581 0.416004i
\(714\) 7.41313 + 2.00088i 0.277429 + 0.0748810i
\(715\) −7.98554 + 11.7350i −0.298642 + 0.438864i
\(716\) 13.2615 13.9728i 0.495606 0.522187i
\(717\) 16.2502 + 0.667670i 0.606875 + 0.0249346i
\(718\) −1.17368 12.7779i −0.0438012 0.476868i
\(719\) 11.1272 34.2459i 0.414973 1.27716i −0.497302 0.867578i \(-0.665676\pi\)
0.912275 0.409579i \(-0.134324\pi\)
\(720\) 0.0241457 + 26.8328i 0.000899856 + 1.00000i
\(721\) −11.7287 36.0971i −0.436798 1.34433i
\(722\) −47.9463 + 20.5974i −1.78438 + 0.766554i
\(723\) −12.5963 + 33.9560i −0.468460 + 1.26284i
\(724\) 23.2547 4.30833i 0.864255 0.160118i
\(725\) −11.9437 14.4733i −0.443576 0.537523i
\(726\) −17.3047 + 6.60638i −0.642238 + 0.245186i
\(727\) −7.26585 5.27895i −0.269475 0.195785i 0.444838 0.895611i \(-0.353261\pi\)
−0.714314 + 0.699825i \(0.753261\pi\)
\(728\) 15.0856 + 22.5822i 0.559108 + 0.836954i
\(729\) −25.0545 + 10.0634i −0.927945 + 0.372718i
\(730\) −7.64322 + 39.3691i −0.282888 + 1.45711i
\(731\) 2.72093 8.37415i 0.100637 0.309729i
\(732\) −1.37769 2.80685i −0.0509208 0.103744i
\(733\) 18.4725 + 6.00207i 0.682296 + 0.221692i 0.629601 0.776919i \(-0.283219\pi\)
0.0526960 + 0.998611i \(0.483219\pi\)
\(734\) 11.4750 + 13.0856i 0.423548 + 0.482998i
\(735\) −3.35321 0.0343941i −0.123685 0.00126865i
\(736\) −11.7347 2.01850i −0.432548 0.0744030i
\(737\) 2.24627 1.63201i 0.0827426 0.0601160i
\(738\) 8.25967 26.2641i 0.304042 0.966796i
\(739\) 5.22131 7.18652i 0.192069 0.264360i −0.702111 0.712067i \(-0.747759\pi\)
0.894180 + 0.447707i \(0.147759\pi\)
\(740\) 32.6912 19.0735i 1.20175 0.701154i
\(741\) 34.7669 + 27.5093i 1.27719 + 1.01058i
\(742\) −7.45644 1.68749i −0.273735 0.0619498i
\(743\) 38.1796i 1.40067i 0.713813 + 0.700337i \(0.246967\pi\)
−0.713813 + 0.700337i \(0.753033\pi\)
\(744\) −42.7886 + 10.1868i −1.56871 + 0.373465i
\(745\) 25.2948 37.1715i 0.926731 1.36186i
\(746\) −0.863547 2.01015i −0.0316167 0.0735970i
\(747\) 12.0268 13.9797i 0.440037 0.511490i
\(748\) 3.74097 + 1.78467i 0.136783 + 0.0652540i
\(749\) 27.5350i 1.00611i
\(750\) 26.9857 + 4.66583i 0.985380 + 0.170372i
\(751\) 25.5204i 0.931254i 0.884981 + 0.465627i \(0.154171\pi\)
−0.884981 + 0.465627i \(0.845829\pi\)
\(752\) −1.08884 + 4.06135i −0.0397060 + 0.148102i
\(753\) 11.8544 7.89013i 0.431998 0.287532i
\(754\) 16.6951 7.17211i 0.608001 0.261193i
\(755\) 9.99808 14.6925i 0.363867 0.534714i
\(756\) 22.5102 18.5149i 0.818688 0.673380i
\(757\) 24.9324i 0.906184i −0.891464 0.453092i \(-0.850321\pi\)
0.891464 0.453092i \(-0.149679\pi\)
\(758\) −2.01321 + 8.89568i −0.0731232 + 0.323106i
\(759\) −4.19460 + 5.30123i −0.152254 + 0.192423i
\(760\) −27.4652 38.4919i −0.996269 1.39625i
\(761\) −26.6111 + 36.6270i −0.964650 + 1.32773i −0.0199469 + 0.999801i \(0.506350\pi\)
−0.944703 + 0.327926i \(0.893650\pi\)
\(762\) −3.24197 + 4.97227i −0.117444 + 0.180126i
\(763\) 5.00854 3.63892i 0.181321 0.131738i
\(764\) −36.5896 17.4555i −1.32376 0.631517i
\(765\) 1.94808 + 7.24023i 0.0704330 + 0.261771i
\(766\) −15.4066 + 13.5102i −0.556661 + 0.488145i
\(767\) 27.8246 + 9.04076i 1.00469 + 0.326443i
\(768\) 23.4068 + 14.8365i 0.844620 + 0.535367i
\(769\) 7.78339 23.9548i 0.280676 0.863833i −0.706985 0.707229i \(-0.749945\pi\)
0.987661 0.156605i \(-0.0500548\pi\)
\(770\) −16.1434 3.13413i −0.581768 0.112946i
\(771\) −16.6321 + 11.0701i −0.598991 + 0.398680i
\(772\) 13.7633 7.47160i 0.495351 0.268909i
\(773\) 12.5760 + 9.13698i 0.452326 + 0.328634i 0.790514 0.612445i \(-0.209814\pi\)
−0.338187 + 0.941079i \(0.609814\pi\)
\(774\) −19.9008