Properties

Label 300.2.r.a.59.41
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 59.41
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.41

$q$-expansion

\(f(q)\) \(=\) \(q+(0.932419 - 1.06329i) q^{2} +(1.44187 - 0.959691i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(1.84864 + 1.25798i) q^{5} +(0.323994 - 2.42797i) q^{6} -2.80461 q^{7} +(-2.35192 - 1.57114i) q^{8} +(1.15799 - 2.76750i) q^{9} +O(q^{10})\) \(q+(0.932419 - 1.06329i) q^{2} +(1.44187 - 0.959691i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(1.84864 + 1.25798i) q^{5} +(0.323994 - 2.42797i) q^{6} -2.80461 q^{7} +(-2.35192 - 1.57114i) q^{8} +(1.15799 - 2.76750i) q^{9} +(3.06132 - 0.792685i) q^{10} +(-1.50008 - 1.08987i) q^{11} +(-2.27955 - 2.60838i) q^{12} +(2.01229 + 2.76969i) q^{13} +(-2.61507 + 2.98213i) q^{14} +(3.87278 + 0.0397234i) q^{15} +(-3.86356 + 1.03582i) q^{16} +(-0.345387 + 1.06299i) q^{17} +(-1.86294 - 3.81175i) q^{18} +(7.11064 + 2.31039i) q^{19} +(2.01157 - 3.99419i) q^{20} +(-4.04389 + 2.69156i) q^{21} +(-2.55756 + 0.578810i) q^{22} +(-1.23722 + 1.70289i) q^{23} +(-4.89897 - 0.00827497i) q^{24} +(1.83496 + 4.65112i) q^{25} +(4.82129 + 0.442845i) q^{26} +(-0.986279 - 5.10169i) q^{27} +(0.732538 + 5.56118i) q^{28} +(-3.56932 + 1.15974i) q^{29} +(3.65329 - 4.08087i) q^{30} +(-8.53887 - 2.77445i) q^{31} +(-2.50108 + 5.07391i) q^{32} +(-3.20886 - 0.131842i) q^{33} +(0.808228 + 1.35840i) q^{34} +(-5.18472 - 3.52815i) q^{35} +(-5.79006 - 1.57329i) q^{36} +(4.97454 + 6.84687i) q^{37} +(9.08672 - 5.40646i) q^{38} +(5.55951 + 2.06235i) q^{39} +(-2.37138 - 5.86315i) q^{40} +(-3.81439 - 5.25005i) q^{41} +(-0.908676 + 6.80950i) q^{42} +7.87791 q^{43} +(-1.76927 + 3.25913i) q^{44} +(5.62217 - 3.65940i) q^{45} +(0.657066 + 2.90334i) q^{46} +(-0.999744 + 0.324837i) q^{47} +(-4.57669 + 5.20134i) q^{48} +0.865841 q^{49} +(6.65646 + 2.38569i) q^{50} +(0.522140 + 1.86416i) q^{51} +(4.96634 - 4.71354i) q^{52} +(0.595625 + 1.83314i) q^{53} +(-6.34423 - 3.70821i) q^{54} +(-1.40207 - 3.90186i) q^{55} +(6.59621 + 4.40645i) q^{56} +(12.4699 - 3.49274i) q^{57} +(-2.09495 + 4.87660i) q^{58} +(-6.91365 + 5.02306i) q^{59} +(-0.932768 - 7.68960i) q^{60} +(-0.730226 - 0.530540i) q^{61} +(-10.9119 + 6.49239i) q^{62} +(-3.24770 + 7.76177i) q^{63} +(3.06301 + 7.39040i) q^{64} +(0.235797 + 7.65159i) q^{65} +(-3.13219 + 3.28904i) q^{66} +(-0.462733 + 1.42415i) q^{67} +(2.19799 + 0.407214i) q^{68} +(-0.149667 + 3.64271i) q^{69} +(-8.58580 + 2.22317i) q^{70} +(-1.11003 - 3.41631i) q^{71} +(-7.07163 + 4.68957i) 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} +(7.37668 - 3.98843i) q^{78} +(4.76272 - 1.54750i) q^{79} +(-8.44538 - 2.94544i) q^{80} +(-6.31813 - 6.40946i) q^{81} +(-9.13896 - 0.839431i) q^{82} +(-5.84619 - 1.89954i) q^{83} +(6.39324 + 7.31550i) q^{84} +(-1.97572 + 1.53060i) q^{85} +(7.34551 - 8.37654i) q^{86} +(-4.03351 + 5.09764i) q^{87} +(1.81572 + 4.92013i) q^{88} +(9.96050 - 13.7094i) q^{89} +(1.35120 - 9.39011i) q^{90} +(-5.64370 - 7.76789i) q^{91} +(3.69977 + 2.00848i) q^{92} +(-14.9746 + 4.19428i) q^{93} +(-0.586783 + 1.36591i) q^{94} +(10.2386 + 13.2161i) q^{95} +(1.26316 + 9.71619i) q^{96} +(-16.7757 + 5.45075i) q^{97} +(0.807327 - 0.920644i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.932419 1.06329i 0.659320 0.751863i
\(3\) 1.44187 0.959691i 0.832465 0.554078i
\(4\) −0.261191 1.98287i −0.130595 0.991436i
\(5\) 1.84864 + 1.25798i 0.826738 + 0.562587i
\(6\) 0.323994 2.42797i 0.132270 0.991214i
\(7\) −2.80461 −1.06004 −0.530022 0.847984i \(-0.677816\pi\)
−0.530022 + 0.847984i \(0.677816\pi\)
\(8\) −2.35192 1.57114i −0.831528 0.555483i
\(9\) 1.15799 2.76750i 0.385996 0.922501i
\(10\) 3.06132 0.792685i 0.968073 0.250669i
\(11\) −1.50008 1.08987i −0.452291 0.328609i 0.338209 0.941071i \(-0.390179\pi\)
−0.790500 + 0.612462i \(0.790179\pi\)
\(12\) −2.27955 2.60838i −0.658049 0.752975i
\(13\) 2.01229 + 2.76969i 0.558110 + 0.768173i 0.991085 0.133234i \(-0.0425360\pi\)
−0.432975 + 0.901406i \(0.642536\pi\)
\(14\) −2.61507 + 2.98213i −0.698907 + 0.797007i
\(15\) 3.87278 + 0.0397234i 0.999947 + 0.0102565i
\(16\) −3.86356 + 1.03582i −0.965890 + 0.258954i
\(17\) −0.345387 + 1.06299i −0.0837686 + 0.257813i −0.984164 0.177259i \(-0.943277\pi\)
0.900396 + 0.435072i \(0.143277\pi\)
\(18\) −1.86294 3.81175i −0.439100 0.898438i
\(19\) 7.11064 + 2.31039i 1.63129 + 0.530039i 0.974568 0.224090i \(-0.0719411\pi\)
0.656725 + 0.754130i \(0.271941\pi\)
\(20\) 2.01157 3.99419i 0.449801 0.893129i
\(21\) −4.04389 + 2.69156i −0.882449 + 0.587346i
\(22\) −2.55756 + 0.578810i −0.545273 + 0.123403i
\(23\) −1.23722 + 1.70289i −0.257979 + 0.355078i −0.918286 0.395918i \(-0.870426\pi\)
0.660307 + 0.750996i \(0.270426\pi\)
\(24\) −4.89897 0.00827497i −0.999999 0.00168912i
\(25\) 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
\(28\) 0.732538 + 5.56118i 0.138437 + 1.05096i
\(29\) −3.56932 + 1.15974i −0.662806 + 0.215359i −0.621052 0.783769i \(-0.713294\pi\)
−0.0417538 + 0.999128i \(0.513294\pi\)
\(30\) 3.65329 4.08087i 0.666996 0.745061i
\(31\) −8.53887 2.77445i −1.53363 0.498306i −0.584018 0.811741i \(-0.698520\pi\)
−0.949610 + 0.313435i \(0.898520\pi\)
\(32\) −2.50108 + 5.07391i −0.442132 + 0.896950i
\(33\) −3.20886 0.131842i −0.558591 0.0229507i
\(34\) 0.808228 + 1.35840i 0.138610 + 0.232964i
\(35\) −5.18472 3.52815i −0.876378 0.596366i
\(36\) −5.79006 1.57329i −0.965009 0.262215i
\(37\) 4.97454 + 6.84687i 0.817809 + 1.12562i 0.990071 + 0.140567i \(0.0448924\pi\)
−0.172262 + 0.985051i \(0.555108\pi\)
\(38\) 9.08672 5.40646i 1.47406 0.877044i
\(39\) 5.55951 + 2.06235i 0.890234 + 0.330240i
\(40\) −2.37138 5.86315i −0.374948 0.927046i
\(41\) −3.81439 5.25005i −0.595707 0.819921i 0.399600 0.916690i \(-0.369149\pi\)
−0.995307 + 0.0967691i \(0.969149\pi\)
\(42\) −0.908676 + 6.80950i −0.140212 + 1.05073i
\(43\) 7.87791 1.20137 0.600685 0.799486i \(-0.294895\pi\)
0.600685 + 0.799486i \(0.294895\pi\)
\(44\) −1.76927 + 3.25913i −0.266727 + 0.491332i
\(45\) 5.62217 3.65940i 0.838104 0.545510i
\(46\) 0.657066 + 2.90334i 0.0968791 + 0.428075i
\(47\) −0.999744 + 0.324837i −0.145828 + 0.0473823i −0.381021 0.924566i \(-0.624428\pi\)
0.235194 + 0.971949i \(0.424428\pi\)
\(48\) −4.57669 + 5.20134i −0.660589 + 0.750748i
\(49\) 0.865841 0.123692
\(50\) 6.65646 + 2.38569i 0.941366 + 0.337387i
\(51\) 0.522140 + 1.86416i 0.0731142 + 0.261035i
\(52\) 4.96634 4.71354i 0.688707 0.653650i
\(53\) 0.595625 + 1.83314i 0.0818153 + 0.251802i 0.983594 0.180396i \(-0.0577381\pi\)
−0.901779 + 0.432198i \(0.857738\pi\)
\(54\) −6.34423 3.70821i −0.863340 0.504623i
\(55\) −1.40207 3.90186i −0.189055 0.526127i
\(56\) 6.59621 + 4.40645i 0.881455 + 0.588836i
\(57\) 12.4699 3.49274i 1.65168 0.462624i
\(58\) −2.09495 + 4.87660i −0.275081 + 0.640329i
\(59\) −6.91365 + 5.02306i −0.900081 + 0.653947i −0.938487 0.345315i \(-0.887772\pi\)
0.0384059 + 0.999262i \(0.487772\pi\)
\(60\) −0.932768 7.68960i −0.120420 0.992723i
\(61\) −0.730226 0.530540i −0.0934959 0.0679287i 0.540055 0.841630i \(-0.318403\pi\)
−0.633551 + 0.773701i \(0.718403\pi\)
\(62\) −10.9119 + 6.49239i −1.38581 + 0.824535i
\(63\) −3.24770 + 7.76177i −0.409172 + 0.977891i
\(64\) 3.06301 + 7.39040i 0.382877 + 0.923799i
\(65\) 0.235797 + 7.65159i 0.0292470 + 0.949063i
\(66\) −3.13219 + 3.28904i −0.385546 + 0.404852i
\(67\) −0.462733 + 1.42415i −0.0565319 + 0.173987i −0.975335 0.220728i \(-0.929157\pi\)
0.918804 + 0.394715i \(0.129157\pi\)
\(68\) 2.19799 + 0.407214i 0.266545 + 0.0493820i
\(69\) −0.149667 + 3.64271i −0.0180178 + 0.438530i
\(70\) −8.58580 + 2.22317i −1.02620 + 0.265720i
\(71\) −1.11003 3.41631i −0.131736 0.405442i 0.863332 0.504636i \(-0.168373\pi\)
−0.995068 + 0.0991946i \(0.968373\pi\)
\(72\) −7.07163 + 4.68957i −0.833400 + 0.552671i
\(73\) 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
\(78\) 7.37668 3.98843i 0.835244 0.451600i
\(79\) 4.76272 1.54750i 0.535848 0.174108i −0.0285776 0.999592i \(-0.509098\pi\)
0.564425 + 0.825484i \(0.309098\pi\)
\(80\) −8.44538 2.94544i −0.944222 0.329310i
\(81\) −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 −0.0299505 0.999551i \(-0.509535\pi\)
−0.611752 + 0.791050i \(0.709535\pi\)
\(84\) 6.39324 + 7.31550i 0.697560 + 0.798186i
\(85\) −1.97572 + 1.53060i −0.214297 + 0.166017i
\(86\) 7.34551 8.37654i 0.792087 0.903266i
\(87\) −4.03351 + 5.09764i −0.432437 + 0.546525i
\(88\) 1.81572 + 4.92013i 0.193556 + 0.524488i
\(89\) 9.96050 13.7094i 1.05581 1.45320i 0.172150 0.985071i \(-0.444929\pi\)
0.883661 0.468128i \(-0.155071\pi\)
\(90\) 1.35120 9.39011i 0.142429 0.989805i
\(91\) −5.64370 7.76789i −0.591621 0.814296i
\(92\) 3.69977 + 2.00848i 0.385728 + 0.209398i
\(93\) −14.9746 + 4.19428i −1.55279 + 0.434927i
\(94\) −0.586783 + 1.36591i −0.0605221 + 0.140882i
\(95\) 10.2386 + 13.2161i 1.05046 + 1.35595i
\(96\) 1.26316 + 9.71619i 0.128921 + 0.991655i
\(97\) −16.7757 + 5.45075i −1.70331 + 0.553440i −0.989198 0.146588i \(-0.953171\pi\)
−0.714115 + 0.700028i \(0.753171\pi\)
\(98\) 0.807327 0.920644i 0.0815523 0.0929991i
\(99\) −4.75330 + 2.88942i −0.477724 + 0.290397i
\(100\) 8.74330 4.85332i 0.874330 0.485332i
\(101\) 6.81866i 0.678482i −0.940700 0.339241i \(-0.889830\pi\)
0.940700 0.339241i \(-0.110170\pi\)
\(102\) 2.46900 + 1.18299i 0.244468 + 0.117133i
\(103\) 4.18192 + 12.8706i 0.412057 + 1.26818i 0.914857 + 0.403778i \(0.132303\pi\)
−0.502800 + 0.864403i \(0.667697\pi\)
\(104\) −0.381173 9.67567i −0.0373771 0.948777i
\(105\) −10.8616 0.111409i −1.05999 0.0108724i
\(106\) 2.50454 + 1.07593i 0.243263 + 0.104504i
\(107\) 9.81778i 0.949120i −0.880223 0.474560i \(-0.842607\pi\)
0.880223 0.474560i \(-0.157393\pi\)
\(108\) −9.85839 + 3.28818i −0.948624 + 0.316405i
\(109\) 1.78582 1.29748i 0.171051 0.124276i −0.498966 0.866622i \(-0.666287\pi\)
0.670017 + 0.742346i \(0.266287\pi\)
\(110\) −5.45614 2.14735i −0.520223 0.204742i
\(111\) 13.7435 + 5.09828i 1.30448 + 0.483907i
\(112\) 10.8358 2.90506i 1.02388 0.274502i
\(113\) −12.5977 + 9.15275i −1.18509 + 0.861018i −0.992737 0.120308i \(-0.961612\pi\)
−0.192353 + 0.981326i \(0.561612\pi\)
\(114\) 7.91335 16.5159i 0.741153 1.54685i
\(115\) −4.42940 + 1.59163i −0.413043 + 0.148421i
\(116\) 3.23189 + 6.77459i 0.300074 + 0.629005i
\(117\) 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
\(120\) −9.04604 6.17812i −0.825787 0.563983i
\(121\) −2.33677 7.19183i −0.212433 0.653803i
\(122\) −1.24500 + 0.281760i −0.112717 + 0.0255093i
\(123\) −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
\(126\) 5.22483 + 10.6905i 0.465465 + 0.952384i
\(127\) 1.96048 + 1.42437i 0.173964 + 0.126392i 0.671360 0.741131i \(-0.265710\pi\)
−0.497396 + 0.867524i \(0.665710\pi\)
\(128\) 10.7142 + 3.63406i 0.947009 + 0.321208i
\(129\) 11.3589 7.56036i 1.00010 0.665653i
\(130\) 8.35576 + 6.88376i 0.732848 + 0.603746i
\(131\) 1.27975 3.93867i 0.111812 0.344123i −0.879457 0.475979i \(-0.842094\pi\)
0.991269 + 0.131856i \(0.0420937\pi\)
\(132\) 0.576700 + 6.39720i 0.0501953 + 0.556805i
\(133\) −19.9426 6.47974i −1.72924 0.561865i
\(134\) 1.08283 + 1.81992i 0.0935419 + 0.157217i
\(135\) 4.59456 10.6719i 0.395437 0.918493i
\(136\) 2.48243 1.95741i 0.212867 0.167847i
\(137\) 2.61762 1.90181i 0.223638 0.162483i −0.470325 0.882494i \(-0.655863\pi\)
0.693963 + 0.720011i \(0.255863\pi\)
\(138\) 3.73372 + 3.55567i 0.317835 + 0.302679i
\(139\) −4.14436 + 5.70423i −0.351520 + 0.483826i −0.947762 0.318979i \(-0.896660\pi\)
0.596241 + 0.802805i \(0.296660\pi\)
\(140\) −5.64167 + 11.2022i −0.476808 + 0.946755i
\(141\) −1.12976 + 1.42782i −0.0951429 + 0.120244i
\(142\) −4.66756 2.00515i −0.391693 0.168268i
\(143\) 6.34789i 0.530838i
\(144\) −1.60733 + 11.8919i −0.133944 + 0.990989i
\(145\) −8.05733 2.34619i −0.669125 0.194841i
\(146\) −3.95884 17.4927i −0.327636 1.44771i
\(147\) 1.24843 0.830940i 0.102969 0.0685348i
\(148\) 12.2772 11.6522i 1.00918 0.957806i
\(149\) 20.1075i 1.64727i −0.567122 0.823634i \(-0.691943\pi\)
0.567122 0.823634i \(-0.308057\pi\)
\(150\) 11.8873 2.94829i 0.970593 0.240727i
\(151\) 7.94771i 0.646776i 0.946267 + 0.323388i \(0.104822\pi\)
−0.946267 + 0.323388i \(0.895178\pi\)
\(152\) −13.0937 16.6057i −1.06204 1.34690i
\(153\) 2.54188 + 2.18679i 0.205499 + 0.176791i
\(154\) 7.17295 1.62334i 0.578013 0.130812i
\(155\) −12.2951 15.8707i −0.987568 1.27477i
\(156\) 2.63728 11.5625i 0.211151 0.925738i
\(157\) 21.0927i 1.68338i −0.539959 0.841691i \(-0.681560\pi\)
0.539959 0.841691i \(-0.318440\pi\)
\(158\) 2.79540 6.50709i 0.222390 0.517677i
\(159\) 2.61807 + 2.07154i 0.207626 + 0.164284i
\(160\) −11.0065 + 6.23354i −0.870140 + 0.492805i
\(161\) 3.46993 4.77595i 0.273469 0.376398i
\(162\) −12.7063 + 0.741738i −0.998300 + 0.0582764i
\(163\) 4.21409 3.06171i 0.330073 0.239812i −0.410389 0.911911i \(-0.634607\pi\)
0.740461 + 0.672099i \(0.234607\pi\)
\(164\) −9.41390 + 8.93471i −0.735102 + 0.697683i
\(165\) −5.76619 4.28042i −0.448897 0.333230i
\(166\) −7.47087 + 4.44505i −0.579852 + 0.345003i
\(167\) −5.01679 1.63005i −0.388211 0.126137i 0.108407 0.994107i \(-0.465425\pi\)
−0.496618 + 0.867969i \(0.665425\pi\)
\(168\) 13.7397 + 0.0232081i 1.06004 + 0.00179054i
\(169\) 0.395392 1.21689i 0.0304148 0.0936070i
\(170\) −0.214720 + 3.52793i −0.0164683 + 0.270580i
\(171\) 14.6280 17.0033i 1.11863 1.30028i
\(172\) −2.05764 15.6209i −0.156893 1.19108i
\(173\) 13.1367 + 9.54436i 0.998764 + 0.725644i 0.961823 0.273673i \(-0.0882386\pi\)
0.0369410 + 0.999317i \(0.488239\pi\)
\(174\) 1.65938 + 9.04194i 0.125797 + 0.685468i
\(175\) −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
\(178\) −5.28983 23.3739i −0.396489 1.75195i
\(179\) −2.97647 9.16063i −0.222472 0.684697i −0.998538 0.0540466i \(-0.982788\pi\)
0.776067 0.630651i \(-0.217212\pi\)
\(180\) −8.72457 10.1922i −0.650291 0.759685i
\(181\) −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
\(184\) 5.58534 2.06120i 0.411757 0.151954i
\(185\) 0.582908 + 18.9153i 0.0428563 + 1.39068i
\(186\) −9.50281 + 19.8332i −0.696780 + 1.45424i
\(187\) 1.67663 1.21814i 0.122607 0.0890795i
\(188\) 0.905233 + 1.89752i 0.0660209 + 0.138391i
\(189\) 2.76613 + 14.3083i 0.201206 + 1.04077i
\(190\) 23.5993 + 1.43632i 1.71208 + 0.104202i
\(191\) −16.3988 + 11.9144i −1.18657 + 0.862096i −0.992898 0.118970i \(-0.962041\pi\)
−0.193675 + 0.981066i \(0.562041\pi\)
\(192\) 11.5090 + 7.71645i 0.830588 + 0.556887i
\(193\) 7.83027i 0.563635i 0.959468 + 0.281818i \(0.0909373\pi\)
−0.959468 + 0.281818i \(0.909063\pi\)
\(194\) −9.84621 + 22.9199i −0.706917 + 1.64555i
\(195\) 7.68315 + 10.8063i 0.550202 + 0.773856i
\(196\) −0.226150 1.71685i −0.0161536 0.122632i
\(197\) −4.59514 14.1424i −0.327390 1.00760i −0.970350 0.241703i \(-0.922294\pi\)
0.642960 0.765900i \(-0.277706\pi\)
\(198\) −1.35976 + 7.74830i −0.0966339 + 0.550648i
\(199\) 14.5552i 1.03179i −0.856652 0.515894i \(-0.827460\pi\)
0.856652 0.515894i \(-0.172540\pi\)
\(200\) 2.99191 13.8220i 0.211560 0.977365i
\(201\) 0.699539 + 2.49752i 0.0493417 + 0.176161i
\(202\) −7.25024 6.35784i −0.510125 0.447336i
\(203\) 10.0106 3.25263i 0.702603 0.228290i
\(204\) 3.56001 1.52224i 0.249251 0.106578i
\(205\) −0.446963 14.5039i −0.0312173 1.01300i
\(206\) 17.5846 + 7.55421i 1.22518 + 0.526326i
\(207\) 3.28007 + 5.39595i 0.227981 + 0.375044i
\(208\) −10.6435 8.61648i −0.737994 0.597445i
\(209\) −8.14851 11.2155i −0.563644 0.775790i
\(210\) −10.2461 + 11.4452i −0.707045 + 0.789797i
\(211\) −5.00382 + 6.88717i −0.344477 + 0.474132i −0.945742 0.324917i \(-0.894663\pi\)
0.601265 + 0.799049i \(0.294663\pi\)
\(212\) 3.47932 1.65985i 0.238961 0.113999i
\(213\) −4.87912 3.86060i −0.334312 0.264524i
\(214\) −10.4392 9.15428i −0.713608 0.625774i
\(215\) 14.5634 + 9.91028i 0.993219 + 0.675875i
\(216\) −5.69585 + 13.5483i −0.387553 + 0.921847i
\(217\) 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
\(220\) −7.37068 + 3.79926i −0.496931 + 0.256146i
\(221\) −3.63917 + 1.18244i −0.244797 + 0.0795394i
\(222\) 18.2357 9.85968i 1.22390 0.661738i
\(223\) 1.64427 + 1.19463i 0.110109 + 0.0799987i 0.641477 0.767142i \(-0.278322\pi\)
−0.531368 + 0.847141i \(0.678322\pi\)
\(224\) 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 \(0.528014\pi\)
−0.920215 + 0.391413i \(0.871986\pi\)
\(228\) −10.1827 23.8139i −0.674364 1.57712i
\(229\) −0.894624 2.75337i −0.0591184 0.181948i 0.917136 0.398574i \(-0.130495\pi\)
−0.976255 + 0.216626i \(0.930495\pi\)
\(230\) −2.43767 + 6.19382i −0.160736 + 0.408409i
\(231\) 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 \(0.892007\pi\)
\(234\) 6.80857 12.8301i 0.445090 0.838732i
\(235\) −2.25681 0.657154i −0.147218 0.0428680i
\(236\) 11.7659 + 12.3969i 0.765893 + 0.806970i
\(237\) 5.38211 6.80204i 0.349605 0.441840i
\(238\) −2.26676 3.80978i −0.146932 0.246952i
\(239\) 7.59666 + 5.51929i 0.491387 + 0.357013i 0.805717 0.592300i \(-0.201780\pi\)
−0.314331 + 0.949314i \(0.601780\pi\)
\(240\) −15.0039 + 3.85801i −0.968495 + 0.249034i
\(241\) 16.9165 12.2905i 1.08969 0.791704i 0.110340 0.993894i \(-0.464806\pi\)
0.979346 + 0.202190i \(0.0648059\pi\)
\(242\) −9.82588 4.22113i −0.631631 0.271344i
\(243\) −15.2610 3.17816i −0.978996 0.203879i
\(244\) −0.861265 + 1.58652i −0.0551368 + 0.101566i
\(245\) 1.60063 + 1.08921i 0.102261 + 0.0695873i
\(246\) −13.9828 + 7.56023i −0.891511 + 0.482022i
\(247\) 7.90966 + 24.3434i 0.503280 + 1.54894i
\(248\) 15.7237 + 19.9411i 0.998453 + 1.26626i
\(249\) −10.2524 + 2.87164i −0.649721 + 0.181983i
\(250\) 9.30427 + 12.7840i 0.588453 + 0.808531i
\(251\) 8.22153 0.518938 0.259469 0.965751i \(-0.416452\pi\)
0.259469 + 0.965751i \(0.416452\pi\)
\(252\) 16.2389 + 4.41247i 1.02295 + 0.277960i
\(253\) 3.71187 1.20606i 0.233363 0.0758244i
\(254\) 3.34251 0.756455i 0.209728 0.0474642i
\(255\) −1.37983 + 4.10301i −0.0864084 + 0.256940i
\(256\) 13.8542 8.00387i 0.865886 0.500242i
\(257\) 11.5351 0.719538 0.359769 0.933041i \(-0.382855\pi\)
0.359769 + 0.933041i \(0.382855\pi\)
\(258\) 2.55239 19.1273i 0.158905 1.19081i
\(259\) −13.9516 19.2028i −0.866913 1.19320i
\(260\) 15.1105 2.46608i 0.937115 0.152940i
\(261\) −0.923635 + 11.2211i −0.0571716 + 0.694566i
\(262\) −2.99470 5.03324i −0.185013 0.310955i
\(263\) 10.6114 + 14.6054i 0.654330 + 0.900608i 0.999277 0.0380143i \(-0.0121033\pi\)
−0.344947 + 0.938622i \(0.612103\pi\)
\(264\) 7.33983 + 5.35167i 0.451736 + 0.329372i
\(265\) −1.20497 + 4.13811i −0.0740205 + 0.254202i
\(266\) −25.4847 + 15.1630i −1.56257 + 0.929704i
\(267\) 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 \(0.670248\pi\)
\(270\) −7.06335 14.8361i −0.429862 0.902895i
\(271\) −9.40434 + 3.05565i −0.571273 + 0.185618i −0.580387 0.814341i \(-0.697099\pi\)
0.00911443 + 0.999958i \(0.497099\pi\)
\(272\) 0.233359 4.46469i 0.0141495 0.270711i
\(273\) −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
\(276\) 7.26211 0.654670i 0.437128 0.0394065i
\(277\) 1.96968 2.71103i 0.118347 0.162890i −0.745734 0.666244i \(-0.767901\pi\)
0.864080 + 0.503354i \(0.167901\pi\)
\(278\) 2.20099 + 9.72541i 0.132007 + 0.583291i
\(279\) −17.5662 + 20.4186i −1.05166 + 1.22243i
\(280\) 6.65080 + 16.4439i 0.397461 + 0.982709i
\(281\) −12.3397 4.00940i −0.736122 0.239181i −0.0831232 0.996539i \(-0.526490\pi\)
−0.652999 + 0.757359i \(0.726490\pi\)
\(282\) 0.464782 + 2.53259i 0.0276774 + 0.150814i
\(283\) −0.0785686 + 0.241809i −0.00467042 + 0.0143741i −0.953365 0.301821i \(-0.902405\pi\)
0.948694 + 0.316195i \(0.102405\pi\)
\(284\) −6.48418 + 3.09335i −0.384765 + 0.183557i
\(285\) 27.4462 + 9.23008i 1.62577 + 0.546743i
\(286\) −6.74968 5.91889i −0.399117 0.349992i
\(287\) 10.6979 + 14.7244i 0.631475 + 0.869151i
\(288\) 11.1459 + 12.7973i 0.656776 + 0.754086i
\(289\) 12.7426 + 9.25806i 0.749567 + 0.544592i
\(290\) −10.0075 + 6.37968i −0.587661 + 0.374628i
\(291\) −18.9573 + 23.9588i −1.11130 + 1.40449i
\(292\) −22.2912 12.1011i −1.30450 0.708166i
\(293\) 10.3849 0.606691 0.303345 0.952881i \(-0.401896\pi\)
0.303345 + 0.952881i \(0.401896\pi\)
\(294\) 0.280527 2.10223i 0.0163607 0.122605i
\(295\) −19.0998 + 0.588594i −1.11203 + 0.0342693i
\(296\) −0.942287 23.9190i −0.0547693 1.39026i
\(297\) −4.08069 + 8.72786i −0.236786 + 0.506442i
\(298\) −21.3802 18.7486i −1.23852 1.08608i
\(299\) −7.20614 −0.416742
\(300\) 7.94903 15.3887i 0.458937 0.888469i
\(301\) −22.0945 −1.27350
\(302\) 8.45076 + 7.41059i 0.486286 + 0.426432i
\(303\) −6.54380 9.83163i −0.375932 0.564812i
\(304\) −29.8655 1.56101i −1.71291 0.0895298i
\(305\) −0.682517 1.89939i −0.0390808 0.108759i
\(306\) 4.69529 0.663762i 0.268412 0.0379447i
\(307\) 17.0538 0.973314 0.486657 0.873593i \(-0.338216\pi\)
0.486657 + 0.873593i \(0.338216\pi\)
\(308\) 4.96211 9.14059i 0.282743 0.520834i
\(309\) 18.3816 + 14.5444i 1.04569 + 0.827405i
\(310\) −28.3395 1.72482i −1.60957 0.0979632i
\(311\) 19.8576 + 14.4274i 1.12602 + 0.818102i 0.985111 0.171920i \(-0.0549970\pi\)
0.140910 + 0.990022i \(0.454997\pi\)
\(312\) −9.83526 13.5853i −0.556812 0.769114i
\(313\) 5.67018 + 7.80433i 0.320497 + 0.441127i 0.938619 0.344956i \(-0.112106\pi\)
−0.618122 + 0.786083i \(0.712106\pi\)
\(314\) −22.4278 19.6672i −1.26567 1.10989i
\(315\) −15.7680 + 10.2632i −0.888426 + 0.578265i
\(316\) −4.31247 9.03967i −0.242596 0.508521i
\(317\) −5.41442 + 16.6639i −0.304104 + 0.935936i 0.675906 + 0.736988i \(0.263753\pi\)
−0.980010 + 0.198948i \(0.936247\pi\)
\(318\) 4.64379 0.852230i 0.260411 0.0477907i
\(319\) 6.61824 + 2.15040i 0.370550 + 0.120399i
\(320\) −3.63457 + 17.5154i −0.203179 + 0.979142i
\(321\) −9.42203 14.1560i −0.525887 0.790109i
\(322\) −1.84281 8.14275i −0.102696 0.453778i
\(323\) −4.91184 + 6.76057i −0.273302 + 0.376168i
\(324\) −11.0589 + 14.2021i −0.614383 + 0.789008i
\(325\) −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
\(328\) 0.722529 + 18.3406i 0.0398950 + 1.01269i
\(329\) 2.80389 0.911040i 0.154584 0.0502273i
\(330\) −9.92785 + 2.14001i −0.546510 + 0.117804i
\(331\) 24.1449 + 7.84515i 1.32712 + 0.431208i 0.884935 0.465714i \(-0.154202\pi\)
0.442188 + 0.896922i \(0.354202\pi\)
\(332\) −2.23958 + 12.0884i −0.122913 + 0.663436i
\(333\) 24.7092 5.83847i 1.35405 0.319946i
\(334\) −6.41098 + 3.81443i −0.350793 + 0.208717i
\(335\) −2.64698 + 2.05063i −0.144620 + 0.112038i
\(336\) 12.8358 14.5877i 0.700252 0.795825i
\(337\) 6.24918 + 8.60126i 0.340415 + 0.468540i 0.944562 0.328332i \(-0.106486\pi\)
−0.604148 + 0.796872i \(0.706486\pi\)
\(338\) −0.925243 1.55507i −0.0503266 0.0845846i
\(339\) −9.38042 + 25.2870i −0.509475 + 1.37340i
\(340\) 3.55102 + 3.51782i 0.192581 + 0.190781i
\(341\) 9.78520 + 13.4682i 0.529898 + 0.729343i
\(342\) −4.44009 31.4081i −0.240093 1.69836i
\(343\) 17.2039 0.928925
\(344\) −18.5282 12.3773i −0.998973 0.667341i
\(345\) −4.85914 + 6.54578i −0.261607 + 0.352413i
\(346\) 22.3974 5.06883i 1.20409 0.272502i
\(347\) 30.8425 10.0213i 1.65571 0.537974i 0.675746 0.737135i \(-0.263822\pi\)
0.979967 + 0.199161i \(0.0638217\pi\)
\(348\) 11.1615 + 6.66647i 0.598318 + 0.357360i
\(349\) −3.26785 −0.174924 −0.0874621 0.996168i \(-0.527876\pi\)
−0.0874621 + 0.996168i \(0.527876\pi\)
\(350\) −18.6688 6.69093i −0.997889 0.357645i
\(351\) 12.1454 12.9978i 0.648273 0.693771i
\(352\) 9.28173 4.88543i 0.494718 0.260394i
\(353\) −5.15615 15.8690i −0.274434 0.844621i −0.989369 0.145430i \(-0.953544\pi\)
0.714935 0.699191i \(-0.246456\pi\)
\(354\) 9.95586 + 18.4136i 0.529148 + 0.978670i
\(355\) 2.24562 7.71193i 0.119185 0.409307i
\(356\) −29.7857 16.1696i −1.57864 0.856987i
\(357\) −1.46440 5.22825i −0.0775042 0.276708i
\(358\) −12.5158 5.37668i −0.661478 0.284166i
\(359\) 7.34053 5.33320i 0.387418 0.281476i −0.376979 0.926222i \(-0.623037\pi\)
0.764397 + 0.644746i \(0.223037\pi\)
\(360\) −18.9723 0.226651i −0.999929 0.0119455i
\(361\) 29.8520 + 21.6888i 1.57116 + 1.14151i
\(362\) 8.55106 + 14.3719i 0.449434 + 0.755370i
\(363\) −10.2713 8.12712i −0.539101 0.426563i
\(364\) −13.9286 + 13.2196i −0.730059 + 0.692897i
\(365\) 26.6873 9.58965i 1.39687 0.501945i
\(366\) −1.52472 + 1.60107i −0.0796986 + 0.0836895i
\(367\) −3.80297 + 11.7043i −0.198513 + 0.610961i 0.801404 + 0.598123i \(0.204087\pi\)
−0.999918 + 0.0128379i \(0.995913\pi\)
\(368\) 3.01621 7.86076i 0.157231 0.409771i
\(369\) −18.9465 + 4.47683i −0.986318 + 0.233055i
\(370\) 20.6560 + 17.0172i 1.07386 + 0.884681i
\(371\) −1.67050 5.14126i −0.0867278 0.266921i
\(372\) 12.2279 + 28.5971i 0.633989 + 1.48269i
\(373\) −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
\(378\) 17.7931 + 10.4001i 0.915177 + 0.534922i
\(379\) −6.13362 + 1.99293i −0.315063 + 0.102370i −0.462280 0.886734i \(-0.652968\pi\)
0.147217 + 0.989104i \(0.452968\pi\)
\(380\) 23.5317 23.7538i 1.20715 1.21854i
\(381\) 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 −0.0650064 0.997885i \(-0.520707\pi\)
−0.639133 + 0.769096i \(0.720707\pi\)
\(384\) 18.9360 5.04246i 0.966326 0.257322i
\(385\) 3.93227 + 10.9432i 0.200407 + 0.557717i
\(386\) 8.32588 + 7.30109i 0.423776 + 0.371616i
\(387\) 9.12252 21.8021i 0.463724 1.10827i
\(388\) 15.1898 + 31.8403i 0.771145 + 1.61645i
\(389\) −12.9514 + 17.8261i −0.656663 + 0.903819i −0.999365 0.0356248i \(-0.988658\pi\)
0.342702 + 0.939444i \(0.388658\pi\)
\(390\) 18.6542 + 1.90656i 0.944593 + 0.0965423i
\(391\) −1.38284 1.90331i −0.0699332 0.0962548i
\(392\) −2.03639 1.36036i −0.102853 0.0687086i
\(393\) −1.93467 6.90722i −0.0975911 0.348423i
\(394\) −19.3221 8.30063i −0.973434 0.418180i
\(395\) 10.7513 + 3.13064i 0.540956 + 0.157520i
\(396\) 6.97086 + 8.67049i 0.350299 + 0.435708i
\(397\) −17.5994 + 5.71840i −0.883290 + 0.286998i −0.715323 0.698794i \(-0.753720\pi\)
−0.167967 + 0.985793i \(0.553720\pi\)
\(398\) −15.4764 13.5715i −0.775763 0.680278i
\(399\) −34.9732 + 9.79577i −1.75085 + 0.490402i
\(400\) −11.9072 16.0692i −0.595359 0.803460i
\(401\) 17.2591i 0.861877i −0.902381 0.430939i \(-0.858183\pi\)
0.902381 0.430939i \(-0.141817\pi\)
\(402\) 3.30786 + 1.58492i 0.164981 + 0.0790484i
\(403\) −9.49838 29.2330i −0.473148 1.45620i
\(404\) −13.5205 + 1.78097i −0.672671 + 0.0886066i
\(405\) −3.61698 19.7969i −0.179729 0.983716i
\(406\) 5.87553 13.6770i 0.291597 0.678777i
\(407\) 15.6925i 0.777846i
\(408\) 1.70084 5.20471i 0.0842039 0.257671i
\(409\) −5.74671 + 4.17523i −0.284156 + 0.206452i −0.720728 0.693218i \(-0.756192\pi\)
0.436572 + 0.899669i \(0.356192\pi\)
\(410\) −15.8387 13.0485i −0.782217 0.644417i
\(411\) 1.94912 5.25428i 0.0961430 0.259174i
\(412\) 24.4285 11.6539i 1.20351 0.574147i
\(413\) 19.3901 14.0877i 0.954125 0.693212i
\(414\) 8.79588 + 1.54360i 0.432294 + 0.0758638i
\(415\) −8.41792 10.8660i −0.413220 0.533390i
\(416\) −19.0861 + 3.28301i −0.935771 + 0.160963i
\(417\) −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 −0.933572 0.358390i \(-0.883326\pi\)
0.965932 + 0.258797i \(0.0833260\pi\)
\(420\) 2.61605 + 21.5663i 0.127650 + 1.05233i
\(421\) −4.44421 13.6779i −0.216597 0.666618i −0.999036 0.0438909i \(-0.986025\pi\)
0.782439 0.622727i \(-0.213975\pi\)
\(422\) 2.65743 + 11.7423i 0.129362 + 0.571604i
\(423\) −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
\(426\) −8.65434 + 1.58825i −0.419304 + 0.0769508i
\(427\) 2.04800 + 1.48796i 0.0991097 + 0.0720074i
\(428\) −19.4674 + 2.56431i −0.940992 + 0.123951i
\(429\) −6.09202 9.15285i −0.294125 0.441904i
\(430\) 24.1168 6.24471i 1.16301 0.301146i
\(431\) 5.45008 16.7736i 0.262521 0.807957i −0.729733 0.683732i \(-0.760356\pi\)
0.992254 0.124225i \(-0.0396444\pi\)
\(432\) 9.09496 + 18.6891i 0.437581 + 0.899179i
\(433\) −2.32032 0.753918i −0.111508 0.0362310i 0.252732 0.967536i \(-0.418671\pi\)
−0.364239 + 0.931305i \(0.618671\pi\)
\(434\) 30.6035 18.2086i 1.46902 0.874042i
\(435\) −13.8693 + 4.34964i −0.664980 + 0.208549i
\(436\) −3.03917 3.20217i −0.145550 0.153356i
\(437\) −12.7318 + 9.25020i −0.609045 + 0.442497i
\(438\) −22.4958 21.4230i −1.07489 1.02363i
\(439\) 19.5188 26.8653i 0.931579 1.28221i −0.0276608 0.999617i \(-0.508806\pi\)
0.959240 0.282592i \(-0.0911942\pi\)
\(440\) −2.83282 + 11.3797i −0.135050 + 0.542506i
\(441\) 1.00263 2.39622i 0.0477444 0.114106i
\(442\) −2.13595 + 4.97204i −0.101597 + 0.236496i
\(443\) 25.0316i 1.18929i −0.803990 0.594643i \(-0.797293\pi\)
0.803990 0.594643i \(-0.202707\pi\)
\(444\) 6.51955 28.5833i 0.309404 1.35650i
\(445\) 35.6596 12.8137i 1.69043 0.607429i
\(446\) 2.80340 0.634448i 0.132745 0.0300420i
\(447\) −19.2969 28.9924i −0.912714 1.37129i
\(448\) −8.59056 20.7272i −0.405866 0.979267i
\(449\) 32.0071i 1.51051i 0.655433 + 0.755253i \(0.272486\pi\)
−0.655433 + 0.755253i \(0.727514\pi\)
\(450\) 14.3105 15.6592i 0.674603 0.738181i
\(451\) 12.0327i 0.566598i
\(452\) 21.4391 + 22.5890i 1.00841 + 1.06250i
\(453\) 7.62735 + 11.4596i 0.358364 + 0.538418i
\(454\) 8.06642 + 35.6427i 0.378576 + 1.67279i
\(455\) −0.661319 21.4597i −0.0310031 1.00605i
\(456\) −34.8157 11.3774i −1.63040 0.532794i
\(457\) 27.8514i 1.30283i −0.758721 0.651416i \(-0.774175\pi\)
0.758721 0.651416i \(-0.225825\pi\)
\(458\) −3.76181 1.61605i −0.175778 0.0755128i
\(459\) 5.76370 + 0.713651i 0.269026 + 0.0333104i
\(460\) 4.31292 + 8.36720i 0.201091 + 0.390123i
\(461\) 2.72769 3.75434i 0.127041 0.174857i −0.740758 0.671771i \(-0.765534\pi\)
0.867800 + 0.496914i \(0.165534\pi\)
\(462\) 8.78458 9.22446i 0.408695 0.429161i
\(463\) 12.0343 8.74343i 0.559281 0.406341i −0.271915 0.962321i \(-0.587657\pi\)
0.831196 + 0.555980i \(0.187657\pi\)
\(464\) 12.5890 8.17789i 0.584429 0.379649i
\(465\) −32.9590 11.0840i −1.52844 0.514009i
\(466\) 13.4202 + 22.5556i 0.621679 + 1.04487i
\(467\) −6.19271 2.01213i −0.286564 0.0931104i 0.162208 0.986757i \(-0.448139\pi\)
−0.448772 + 0.893646i \(0.648139\pi\)
\(468\) −7.29377 19.2026i −0.337155 0.887639i
\(469\) 1.29779 3.99418i 0.0599262 0.184434i
\(470\) −2.80304 + 1.78691i −0.129295 + 0.0824240i
\(471\) −20.2425 30.4130i −0.932725 1.40136i
\(472\) 24.1523 0.951478i 1.11170 0.0437953i
\(473\) −11.8175 8.58592i −0.543369 0.394781i
\(474\) −2.21419 12.0651i −0.101701 0.554169i
\(475\) 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
\(478\) 12.9519 2.93119i 0.592406 0.134070i
\(479\) 5.73304 + 17.6445i 0.261949 + 0.806197i 0.992381 + 0.123211i \(0.0393191\pi\)
−0.730431 + 0.682986i \(0.760681\pi\)
\(480\) −9.88767 + 19.5508i −0.451309 + 0.892368i
\(481\) −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
\(484\) −13.6501 + 6.51195i −0.620461 + 0.295998i
\(485\) −37.8692 11.0270i −1.71955 0.500712i
\(486\) −17.6090 + 13.2636i −0.798760 + 0.601649i
\(487\) −15.6066 + 11.3389i −0.707203 + 0.513813i −0.882270 0.470744i \(-0.843986\pi\)
0.175067 + 0.984556i \(0.443986\pi\)
\(488\) 0.883875 + 2.39508i 0.0400111 + 0.108420i
\(489\) 3.13787 8.45882i 0.141899 0.382521i
\(490\) 2.65061 0.686340i 0.119742 0.0310057i
\(491\) 4.69454 3.41078i 0.211862 0.153926i −0.476794 0.879015i \(-0.658201\pi\)
0.688656 + 0.725089i \(0.258201\pi\)
\(492\) −4.99908 + 21.9171i −0.225376 + 0.988101i
\(493\) 4.19471i 0.188920i
\(494\) 33.2593 + 14.2880i 1.49641 + 0.642846i
\(495\) −12.4220 0.638062i −0.558327 0.0286787i
\(496\) 35.8643 + 1.87455i 1.61035 + 0.0841696i
\(497\) 3.11319 + 9.58142i 0.139646 + 0.429786i
\(498\) −6.50615 + 13.5789i −0.291548 + 0.608486i
\(499\) 20.7222i 0.927654i −0.885926 0.463827i \(-0.846476\pi\)
0.885926 0.463827i \(-0.153524\pi\)
\(500\) 22.2686 + 2.02686i 0.995883 + 0.0906441i
\(501\) −8.79792 + 2.46424i −0.393062 + 0.110094i
\(502\) 7.66591 8.74191i 0.342146 0.390170i
\(503\) 33.8991 11.0145i 1.51149 0.491111i 0.568142 0.822931i \(-0.307662\pi\)
0.943343 + 0.331819i \(0.107662\pi\)
\(504\) 19.8332 13.1524i 0.883440 0.585855i
\(505\) 8.57775 12.6053i 0.381705 0.560927i
\(506\) 2.17862 5.07137i 0.0968515 0.225450i
\(507\) −0.597735 2.13405i −0.0265463 0.0947767i
\(508\) 2.31228 4.25941i 0.102591 0.188981i
\(509\) −2.25059 3.09767i −0.0997557 0.137302i 0.756221 0.654316i \(-0.227043\pi\)
−0.855977 + 0.517014i \(0.827043\pi\)
\(510\) 3.07613 + 5.29289i 0.136213 + 0.234373i
\(511\) −20.9065 + 28.7753i −0.924847 + 1.27294i
\(512\) 4.40742 22.1940i 0.194782 0.980847i
\(513\) 4.77381 38.5550i 0.210769 1.70224i
\(514\) 10.7555 12.2652i 0.474406 0.540994i
\(515\) −8.46015 + 29.0540i −0.372799 + 1.28027i
\(516\) −17.9581 20.5486i −0.790560 0.904602i
\(517\) 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
\(520\) 11.4672 18.3664i 0.502869 0.805418i
\(521\) 27.7287 9.00962i 1.21482 0.394718i 0.369626 0.929181i \(-0.379486\pi\)
0.845192 + 0.534462i \(0.179486\pi\)
\(522\) 11.0701 + 11.4448i 0.484524 + 0.500926i
\(523\) 5.18001 + 3.76350i 0.226506 + 0.164566i 0.695250 0.718768i \(-0.255293\pi\)
−0.468744 + 0.883334i \(0.655293\pi\)
\(524\) −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
\(528\) 12.5342 2.81441i 0.545481 0.122482i
\(529\) 5.73827 + 17.6606i 0.249490 + 0.767851i
\(530\) 3.27650 + 5.13969i 0.142322 + 0.223254i
\(531\) 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
\(534\) −30.0590 28.6255i −1.30078 1.23875i
\(535\) 12.3506 18.1496i 0.533963 0.784674i
\(536\) 3.32585 2.62245i 0.143655 0.113273i
\(537\) −13.0831 10.3520i −0.564575 0.446720i
\(538\) −8.72694 + 5.19240i −0.376245 + 0.223860i
\(539\) −1.29883 0.943656i −0.0559446 0.0406461i
\(540\) −22.3611 6.32302i −0.962269 0.272099i
\(541\) 18.7149 13.5972i 0.804617 0.584589i −0.107648 0.994189i \(-0.534332\pi\)
0.912265 + 0.409600i \(0.134332\pi\)
\(542\) −5.51972 + 12.8487i −0.237092 + 0.551900i
\(543\) 5.52424 + 19.7228i 0.237068 + 0.846388i
\(544\) −4.52969 4.41109i −0.194209 0.189124i
\(545\) 4.93355 0.152036i 0.211330 0.00651252i
\(546\) −20.6887 + 11.1860i −0.885395 + 0.478716i
\(547\) 1.11144 + 3.42065i 0.0475216 + 0.146256i 0.972002 0.234974i \(-0.0755005\pi\)
−0.924480 + 0.381230i \(0.875500\pi\)
\(548\) −4.45475 4.69367i −0.190297 0.200504i
\(549\) −2.31386 + 1.40654i −0.0987533 + 0.0600298i
\(550\) −7.38513 10.8334i −0.314903 0.461938i
\(551\) −28.0596 −1.19538
\(552\) 6.07522 8.33219i 0.258578 0.354641i
\(553\) −13.3576 + 4.34014i −0.568022 + 0.184561i
\(554\) −1.04606 4.62217i −0.0444428 0.196377i
\(555\) 18.9933 + 26.7140i 0.806221 + 1.13395i
\(556\) 12.3932 + 6.72785i 0.525590 + 0.285324i
\(557\) −28.3445 −1.20100 −0.600498 0.799626i \(-0.705031\pi\)
−0.600498 + 0.799626i \(0.705031\pi\)
\(558\) 5.33192 + 37.7167i 0.225718 + 1.59668i
\(559\) 15.8527 + 21.8193i 0.670497 + 0.922860i
\(560\) 23.6860 + 8.26080i 1.00092 + 0.349083i
\(561\) 1.24845 3.36546i 0.0527094 0.142090i
\(562\) −15.7689 + 9.38226i −0.665171 + 0.395767i
\(563\) 18.1788 + 25.0210i 0.766146 + 1.05451i 0.996678 + 0.0814444i \(0.0259533\pi\)
−0.230532 + 0.973065i \(0.574047\pi\)
\(564\) 3.12626 + 1.86724i 0.131639 + 0.0786248i
\(565\) −34.8026 + 1.07250i −1.46416 + 0.0451206i
\(566\) 0.183856 + 0.309009i 0.00772803 + 0.0129886i
\(567\) 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 \(0.339249\pi\)
\(570\) 35.4056 20.5771i 1.48298 0.861879i
\(571\) −18.3366 + 5.95791i −0.767361 + 0.249331i −0.666435 0.745563i \(-0.732181\pi\)
−0.100926 + 0.994894i \(0.532181\pi\)
\(572\) −12.5871 + 1.65801i −0.526291 + 0.0693249i
\(573\) −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
\(576\) 23.9999 + 0.0810777i 0.999994 + 0.00337824i
\(577\) −19.8382 + 27.3049i −0.825874 + 1.13672i 0.162803 + 0.986659i \(0.447946\pi\)
−0.988677 + 0.150059i \(0.952054\pi\)
\(578\) 21.7255 4.91678i 0.903662 0.204511i
\(579\) 7.51464 + 11.2902i 0.312298 + 0.469207i
\(580\) −2.54770 + 16.5895i −0.105787 + 0.688840i
\(581\) 16.3963 + 5.32747i 0.680232 + 0.221021i
\(582\) 7.79903 + 42.4968i 0.323280 + 1.76155i
\(583\) 1.10441 3.39902i 0.0457399 0.140773i
\(584\) −33.6518 + 12.4188i −1.39252 + 0.513895i
\(585\) 21.4488 + 8.20787i 0.886800 + 0.339354i
\(586\) 9.68305 11.0422i 0.400003 0.456148i
\(587\) 11.2432 + 15.4749i 0.464057 + 0.638719i 0.975344 0.220691i \(-0.0708312\pi\)
−0.511287 + 0.859410i \(0.670831\pi\)
\(588\) −1.97373 2.25845i −0.0813951 0.0931367i
\(589\) −54.3068 39.4562i −2.23767 1.62577i
\(590\) −17.1832 + 20.8575i −0.707420 + 0.858691i
\(591\) −20.1979 15.9816i −0.830831 0.657394i
\(592\) −26.3115 21.3006i −1.08140 0.875448i
\(593\) 8.54639 0.350958 0.175479 0.984483i \(-0.443853\pi\)
0.175479 + 0.984483i \(0.443853\pi\)
\(594\) 5.47538 + 12.4770i 0.224657 + 0.511938i
\(595\) 5.54113 4.29274i 0.227164 0.175985i
\(596\) −39.8705 + 5.25188i −1.63316 + 0.215126i
\(597\) −13.9685 20.9867i −0.571691 0.858928i
\(598\) −6.71914 + 7.66225i −0.274766 + 0.313333i
\(599\) 34.9700 1.42884 0.714419 0.699719i \(-0.246691\pi\)
0.714419 + 0.699719i \(0.246691\pi\)
\(600\) −8.95093 22.8009i −0.365420 0.930843i
\(601\) −25.6951 −1.04813 −0.524063 0.851679i \(-0.675585\pi\)
−0.524063 + 0.851679i \(0.675585\pi\)
\(602\) −20.6013 + 23.4929i −0.839646 + 0.957501i
\(603\) 3.40549 + 2.92976i 0.138682 + 0.119309i
\(604\) 15.7593 2.07587i 0.641236 0.0844659i
\(605\) 4.72735 16.2347i 0.192194 0.660036i
\(606\) −16.5555 2.20920i −0.672520 0.0897427i
\(607\) −33.7114 −1.36830 −0.684152 0.729340i \(-0.739827\pi\)
−0.684152 + 0.729340i \(0.739827\pi\)
\(608\) −29.5070 + 30.3003i −1.19667 + 1.22884i
\(609\) 11.3124 14.2969i 0.458402 0.579340i
\(610\) −2.65600 1.04531i −0.107538 0.0423234i
\(611\) −2.91147 2.11531i −0.117786 0.0855763i
\(612\) 3.67220 5.61138i 0.148440 0.226827i
\(613\) 13.7296 + 18.8972i 0.554535 + 0.763252i 0.990619 0.136654i \(-0.0436349\pi\)
−0.436084 + 0.899906i \(0.643635\pi\)
\(614\) 15.9013 18.1333i 0.641725 0.731799i
\(615\) −14.5637 20.4838i −0.587266 0.825987i
\(616\) −5.09238 13.7990i −0.205178 0.555979i
\(617\) 2.44863 7.53611i 0.0985782 0.303392i −0.889591 0.456757i \(-0.849011\pi\)
0.988170 + 0.153365i \(0.0490109\pi\)
\(618\) 32.6044 5.98357i 1.31154 0.240695i
\(619\) −17.1069 5.55838i −0.687586 0.223410i −0.0556723 0.998449i \(-0.517730\pi\)
−0.631913 + 0.775039i \(0.717730\pi\)
\(620\) −28.2582 + 28.5249i −1.13488 + 1.14559i
\(621\) 9.90788 + 4.63241i 0.397590 + 0.185892i
\(622\) 33.8562 7.66211i 1.35751 0.307223i
\(623\) −27.9353 + 38.4497i −1.11920 + 1.54045i
\(624\) −23.6157 2.20938i −0.945385 0.0884460i
\(625\) −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
\(628\) −41.8242 + 5.50922i −1.66897 + 0.219842i
\(629\) −8.99630 + 2.92307i −0.358706 + 0.116551i
\(630\) −3.78960 + 26.3356i −0.150981 + 1.04924i
\(631\) −36.7577 11.9433i −1.46330 0.475455i −0.534224 0.845343i \(-0.679396\pi\)
−0.929076 + 0.369888i \(0.879396\pi\)
\(632\) −13.6329 3.84332i −0.542286 0.152879i
\(633\) −0.605313 + 14.7325i −0.0240590 + 0.585565i
\(634\) 12.6701 + 21.2948i 0.503194 + 0.845725i
\(635\) 1.83239 + 5.09940i 0.0727161 + 0.202363i
\(636\) 3.42379 5.73236i 0.135762 0.227303i
\(637\) 1.74233 + 2.39811i 0.0690335 + 0.0950165i
\(638\) 8.45747 5.03207i 0.334834 0.199221i
\(639\) −10.7400 0.884041i −0.424870 0.0349721i
\(640\) 15.2351 + 20.1963i 0.602221 + 0.798330i
\(641\) 22.8319 + 31.4254i 0.901806 + 1.24123i 0.969888 + 0.243550i \(0.0783120\pi\)
−0.0680821 + 0.997680i \(0.521688\pi\)
\(642\) −23.8372 3.18090i −0.940781 0.125540i
\(643\) −17.5439 −0.691864 −0.345932 0.938260i \(-0.612437\pi\)
−0.345932 + 0.938260i \(0.612437\pi\)
\(644\) −10.3764 5.63300i −0.408888 0.221971i
\(645\) 30.5094 + 0.312937i 1.20131 + 0.0123219i
\(646\) 2.60859 + 11.5264i 0.102633 + 0.453501i
\(647\) −17.8336 + 5.79448i −0.701110 + 0.227804i −0.637814 0.770190i \(-0.720161\pi\)
−0.0632959 + 0.997995i \(0.520161\pi\)
\(648\) 4.78954 + 25.0012i 0.188151 + 0.982140i
\(649\) 15.8455 0.621991
\(650\) 6.78715 + 23.2370i 0.266214 + 0.911431i
\(651\) 41.9978 11.7633i 1.64603 0.461041i
\(652\) −7.17166 7.55630i −0.280864 0.295928i
\(653\) −1.36907 4.21357i −0.0535759 0.164890i 0.920688 0.390299i \(-0.127628\pi\)
−0.974264 + 0.225409i \(0.927628\pi\)
\(654\) −2.57164 4.75630i −0.100559 0.185986i
\(655\) 7.32058 5.67129i 0.286039 0.221595i
\(656\) 20.1752 + 16.3329i 0.787709 + 0.637692i
\(657\) −19.7625 32.5108i −0.771010 1.26837i
\(658\) 1.64570 3.83083i 0.0641560 0.149341i
\(659\) −9.45627 + 6.87038i −0.368364 + 0.267632i −0.756532 0.653956i \(-0.773108\pi\)
0.388168 + 0.921589i \(0.373108\pi\)
\(660\) −6.98145 + 12.5516i −0.271753 + 0.488571i
\(661\) −2.32708 1.69072i −0.0905129 0.0657615i 0.541608 0.840631i \(-0.317816\pi\)
−0.632121 + 0.774869i \(0.717816\pi\)
\(662\) 30.8549 18.3582i 1.19921 0.713510i
\(663\) −4.11244 + 5.19740i −0.159714 + 0.201850i
\(664\) 10.7653 + 13.6528i 0.417774 + 0.529830i
\(665\) −28.7153 37.0662i −1.11353 1.43736i
\(666\) 16.8313 31.7170i 0.652199 1.22901i
\(667\) 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
\(670\) −0.287672 + 4.72656i −0.0111137 + 0.182603i
\(671\) 0.517177 + 1.59171i 0.0199654 + 0.0614471i
\(672\) −3.54267 27.2501i −0.136661 1.05120i
\(673\) 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 \(0.875167\pi\)
\(678\) 18.1410 + 33.5522i 0.696701 + 1.28856i
\(679\) 47.0493 15.2872i 1.80559 0.586670i
\(680\) 7.05152 0.495701i 0.270413 0.0190093i
\(681\) −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 0.140549 0.990074i \(-0.455113\pi\)
−0.468244 + 0.883599i \(0.655113\pi\)
\(684\) −37.5361 24.5644i −1.43523 0.939243i
\(685\) 7.23149 0.222851i 0.276301 0.00851471i
\(686\) 16.0413 18.2928i 0.612458 0.698424i
\(687\) −3.93232 3.11144i −0.150027 0.118709i
\(688\) −30.4368 + 8.16006i −1.16039 + 0.311100i
\(689\) −3.87866 + 5.33852i −0.147765 + 0.203381i
\(690\) 2.42934 + 11.2701i 0.0924834 + 0.429046i
\(691\) 9.28419 + 12.7786i 0.353187 + 0.486121i 0.948235 0.317570i \(-0.102867\pi\)
−0.595048 + 0.803690i \(0.702867\pi\)
\(692\) 15.4941 28.5413i 0.588996 1.08498i
\(693\) 13.3311 8.10369i 0.506408 0.307834i
\(694\) 18.1025 42.1388i 0.687161 1.59957i
\(695\) −14.8373 + 5.33154i −0.562810 + 0.202237i
\(696\) 17.4956 5.65201i 0.663169 0.214239i
\(697\) 6.89820 2.24136i 0.261288 0.0848976i
\(698\) −3.04701 + 3.47469i −0.115331 + 0.131519i
\(699\) 8.66986 + 30.9534i 0.327924 + 1.17077i
\(700\) −24.5216 + 13.6117i −0.926828 + 0.514473i
\(701\) 38.6678i 1.46046i 0.683201 + 0.730231i \(0.260587\pi\)
−0.683201 + 0.730231i \(0.739413\pi\)
\(702\) −2.49588 25.0335i −0.0942010 0.944829i
\(703\) 19.5533 + 60.1787i 0.737465 + 2.26968i
\(704\) 3.45982 14.4245i 0.130397 0.543643i
\(705\) −3.88469 + 1.21831i −0.146306 + 0.0458841i
\(706\) −21.6811 9.31404i −0.815979 0.350538i
\(707\) 19.1237i 0.719220i
\(708\) 28.8621 + 6.58315i 1.08470 + 0.247410i
\(709\) −26.7600 + 19.4423i −1.00499 + 0.730171i −0.963153 0.268953i \(-0.913322\pi\)
−0.0418412 + 0.999124i \(0.513322\pi\)
\(710\) −6.10620 9.57850i −0.229162 0.359475i
\(711\) 1.23245 14.9728i 0.0462206 0.561525i
\(712\) −44.9658 + 16.5941i −1.68516 + 0.621890i
\(713\) 15.2891 11.1082i 0.572581 0.416004i
\(714\) −6.92460 3.31783i −0.259147 0.124167i
\(715\) 7.98554 11.7350i 0.298642 0.438864i
\(716\) −17.3869 + 8.29462i −0.649780 + 0.309985i
\(717\) 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 \(0.334324\pi\)
−0.912275 + 0.409579i \(0.865676\pi\)
\(720\) −17.9311 + 19.9618i −0.668254 + 0.743933i
\(721\) −11.7287 36.0971i −0.436798 1.34433i
\(722\) 50.8962 11.5185i 1.89416 0.428674i
\(723\) 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
\(726\) −18.2186 + 3.34349i −0.676157 + 0.124089i
\(727\) 7.26585 + 5.27895i 0.269475 + 0.195785i 0.714314 0.699825i \(-0.246739\pi\)
−0.444838 + 0.895611i \(0.646739\pi\)
\(728\) 1.06904 + 27.1365i 0.0396213 + 1.00575i
\(729\) −25.0545 + 10.0634i −0.927945 + 0.372718i
\(730\) 14.6871 37.3180i 0.543593 1.38120i
\(731\) −2.72093 + 8.37415i −0.100637 + 0.309729i
\(732\) 0.280732 + 3.11410i 0.0103762 + 0.115100i
\(733\) 18.4725 + 6.00207i 0.682296 + 0.221692i 0.629601 0.776919i \(-0.283219\pi\)
0.0526960 + 0.998611i \(0.483219\pi\)
\(734\) 8.89919 + 14.9570i 0.328475 + 0.552073i
\(735\) 3.35321 + 0.0343941i 0.123685 + 0.00126865i
\(736\) −5.54594 10.5366i −0.204426 0.388386i
\(737\) 2.24627 1.63201i 0.0827426 0.0601160i
\(738\) −12.9059 + 24.3200i −0.475073 + 0.895233i
\(739\) −5.22131 + 7.18652i −0.192069 + 0.264360i −0.894180 0.447707i \(-0.852241\pi\)
0.702111 + 0.712067i \(0.252241\pi\)
\(740\) 37.3543 6.09633i 1.37317 0.224106i
\(741\) 34.7669 + 27.5093i 1.27719 + 1.01058i
\(742\) −7.02427 3.01757i −0.257869 0.110779i
\(743\) 38.1796i 1.40067i −0.713813 0.700337i \(-0.753033\pi\)
0.713813 0.700337i \(-0.246967\pi\)
\(744\) 41.8088 + 13.6626i 1.53278 + 0.500895i
\(745\) 25.2948 37.1715i 0.926731 1.36186i
\(746\) 0.482914 + 2.13383i 0.0176808 + 0.0781250i
\(747\) −12.0268 + 13.9797i −0.440037 + 0.511490i
\(748\) −2.85334 3.00638i −0.104329 0.109924i
\(749\) 27.5350i 1.00611i
\(750\) 25.6842 + 9.50366i 0.937856 + 0.347025i
\(751\) 25.5204i 0.931254i −0.884981 0.465627i \(-0.845829\pi\)
0.884981 0.465627i \(-0.154171\pi\)
\(752\) 3.52610 2.29058i 0.128584 0.0835287i
\(753\) 11.8544 7.89013i 0.431998 0.287532i
\(754\) −17.7223 + 4.01080i −0.645409 + 0.146065i
\(755\) −9.99808 + 14.6925i −0.363867 + 0.534714i
\(756\) 27.6489 9.22206i 1.00558 0.335403i
\(757\) 24.9324i 0.906184i −0.891464 0.453092i \(-0.850321\pi\)
0.891464 0.453092i \(-0.149679\pi\)
\(758\) −3.60002 + 8.38009i −0.130759 + 0.304379i
\(759\) 4.19460 5.30123i 0.152254 0.192423i
\(760\) −3.31588 47.1696i −0.120280 1.71102i
\(761\) −26.6111 + 36.6270i −0.964650 + 1.32773i −0.0199469 + 0.999801i \(0.506350\pi\)
−0.944703 + 0.327926i \(0.893650\pi\)
\(762\) 4.09351 4.29849i 0.148292 0.155718i
\(763\) −5.00854 + 3.63892i −0.181321 + 0.131738i
\(764\) 27.9079 + 29.4047i 1.00967 + 1.06383i
\(765\) 1.94808 + 7.24023i 0.0704330 + 0.261771i
\(766\) −17.6099 + 10.4776i −0.636271 + 0.378571i
\(767\) −27.8246 9.04076i −1.00469 0.326443i
\(768\) 12.2947 24.8363i 0.443647 0.896202i
\(769\) 7.78339 23.9548i 0.280676 0.863833i −0.706985 0.707229i \(-0.749945\pi\)
0.987661 0.156605i \(-0.0500548\pi\)
\(770\) 15.3024 + 6.02248i 0.551459 + 0.217035i
\(771\) 16.6321 11.0701i 0.598991 0.398680i
\(772\) 15.5264 2.04519i 0.558808 0.0736082i
\(773\) 12.5760 + 9.13698i 0.452326 + 0.328634i 0.790514 0.612445i \(-0.209814\pi\)
−0.338187 + 0.941079i \(0.609814\pi\)