Properties

Label 300.2.r.a.59.16
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 59.16
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.932419 + 1.06329i) q^{2} +(-1.73059 + 0.0711045i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(-1.84864 - 1.25798i) q^{5} +(1.53803 - 1.90643i) q^{6} -2.80461 q^{7} +(2.35192 + 1.57114i) q^{8} +(2.98989 - 0.246105i) q^{9} +O(q^{10})\) \(q+(-0.932419 + 1.06329i) q^{2} +(-1.73059 + 0.0711045i) q^{3} +(-0.261191 - 1.98287i) q^{4} +(-1.84864 - 1.25798i) q^{5} +(1.53803 - 1.90643i) q^{6} -2.80461 q^{7} +(2.35192 + 1.57114i) q^{8} +(2.98989 - 0.246105i) q^{9} +(3.06132 - 0.792685i) q^{10} +(1.50008 + 1.08987i) q^{11} +(0.593005 + 3.41297i) q^{12} +(2.01229 + 2.76969i) q^{13} +(2.61507 - 2.98213i) q^{14} +(3.28869 + 2.04561i) q^{15} +(-3.86356 + 1.03582i) q^{16} +(0.345387 - 1.06299i) q^{17} +(-2.52615 + 3.40861i) q^{18} +(7.11064 + 2.31039i) q^{19} +(-2.01157 + 3.99419i) q^{20} +(4.85363 - 0.199420i) q^{21} +(-2.55756 + 0.578810i) 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} +(-5.15677 + 0.638502i) q^{27} +(0.732538 + 5.56118i) q^{28} +(3.56932 - 1.15974i) q^{29} +(-5.24152 + 1.58949i) q^{30} +(-8.53887 - 2.77445i) q^{31} +(2.50108 - 5.07391i) q^{32} +(-2.67352 - 1.77946i) q^{33} +(0.808228 + 1.35840i) q^{34} +(5.18472 + 3.52815i) q^{35} +(-1.26893 - 5.86428i) q^{36} +(4.97454 + 6.84687i) q^{37} +(-9.08672 + 5.40646i) q^{38} +(-3.67939 - 4.65011i) q^{39} +(-2.37138 - 5.86315i) q^{40} +(3.81439 + 5.25005i) q^{41} +(-4.31358 + 5.34679i) q^{42} +7.87791 q^{43} +(1.76927 - 3.25913i) q^{44} +(-5.83683 - 3.30627i) q^{45} +(0.657066 + 2.90334i) q^{46} +(0.999744 - 0.324837i) q^{47} +(6.61259 - 2.06729i) 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} +(4.12936 - 6.07852i) 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} +(3.19720 - 7.05535i) q^{60} +(-0.730226 - 0.530540i) q^{61} +(10.9119 - 6.49239i) q^{62} +(-8.38547 + 0.690230i) q^{63} +(3.06301 + 7.39040i) q^{64} +(-0.235797 - 7.65159i) q^{65} +(4.38493 - 1.18354i) q^{66} +(-0.462733 + 1.42415i) q^{67} +(-2.19799 - 0.407214i) q^{68} +(-2.02005 + 3.03498i) q^{69} +(-8.58580 + 2.22317i) q^{70} +(1.11003 + 3.41631i) q^{71} +(7.41863 + 4.11872i) q^{72} +(7.45432 - 10.2600i) q^{73} +(-11.9186 - 1.09475i) q^{74} +(-3.50628 - 7.91871i) q^{75} +(2.72397 - 14.7029i) q^{76} +(-4.20714 - 3.05667i) q^{77} +(8.37517 + 0.423568i) q^{78} +(4.76272 - 1.54750i) q^{79} +(8.44538 + 2.94544i) q^{80} +(8.87886 - 1.47166i) q^{81} +(-9.13896 - 0.839431i) q^{82} +(5.84619 + 1.89954i) q^{83} +(-1.66315 - 9.57204i) q^{84} +(-1.97572 + 1.53060i) q^{85} +(-7.34551 + 8.37654i) q^{86} +(-6.09457 + 2.26083i) q^{87} +(1.81572 + 4.92013i) q^{88} +(-9.96050 + 13.7094i) q^{89} +(8.95791 - 3.12345i) 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} +(-3.96756 + 8.95871i) 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
\(3\) −1.73059 + 0.0711045i −0.999157 + 0.0410522i
\(4\) −0.261191 1.98287i −0.130595 0.991436i
\(5\) −1.84864 1.25798i −0.826738 0.562587i
\(6\) 1.53803 1.90643i 0.627898 0.778296i
\(7\) −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
\(9\) 2.98989 0.246105i 0.996629 0.0820352i
\(10\) 3.06132 0.792685i 0.968073 0.250669i
\(11\) 1.50008 + 1.08987i 0.452291 + 0.328609i 0.790500 0.612462i \(-0.209821\pi\)
−0.338209 + 0.941071i \(0.609821\pi\)
\(12\) 0.593005 + 3.41297i 0.171186 + 0.985239i
\(13\) 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
\(15\) 3.28869 + 2.04561i 0.849137 + 0.528173i
\(16\) −3.86356 + 1.03582i −0.965890 + 0.258954i
\(17\) 0.345387 1.06299i 0.0837686 0.257813i −0.900396 0.435072i \(-0.856723\pi\)
0.984164 + 0.177259i \(0.0567229\pi\)
\(18\) −2.52615 + 3.40861i −0.595418 + 0.803416i
\(19\) 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
\(21\) 4.85363 0.199420i 1.05915 0.0435171i
\(22\) −2.55756 + 0.578810i −0.545273 + 0.123403i
\(23\) 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
\(27\) −5.15677 + 0.638502i −0.992422 + 0.122880i
\(28\) 0.732538 + 5.56118i 0.138437 + 1.05096i
\(29\) 3.56932 1.15974i 0.662806 0.215359i 0.0417538 0.999128i \(-0.486706\pi\)
0.621052 + 0.783769i \(0.286706\pi\)
\(30\) −5.24152 + 1.58949i −0.956966 + 0.290199i
\(31\) −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
\(33\) −2.67352 1.77946i −0.465400 0.309764i
\(34\) 0.808228 + 1.35840i 0.138610 + 0.232964i
\(35\) 5.18472 + 3.52815i 0.876378 + 0.596366i
\(36\) −1.26893 5.86428i −0.211488 0.977381i
\(37\) 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
\(39\) −3.67939 4.65011i −0.589175 0.744613i
\(40\) −2.37138 5.86315i −0.374948 0.927046i
\(41\) 3.81439 + 5.25005i 0.595707 + 0.819921i 0.995307 0.0967691i \(-0.0308509\pi\)
−0.399600 + 0.916690i \(0.630851\pi\)
\(42\) −4.31358 + 5.34679i −0.665599 + 0.825027i
\(43\) 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
\(45\) −5.83683 3.30627i −0.870103 0.492869i
\(46\) 0.657066 + 2.90334i 0.0968791 + 0.428075i
\(47\) 0.999744 0.324837i 0.145828 0.0473823i −0.235194 0.971949i \(-0.575572\pi\)
0.381021 + 0.924566i \(0.375572\pi\)
\(48\) 6.61259 2.06729i 0.954445 0.298387i
\(49\) 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 0.901779 0.432198i \(-0.142262\pi\)
−0.983594 + 0.180396i \(0.942262\pi\)
\(54\) 4.12936 6.07852i 0.561934 0.827182i
\(55\) −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 −0.0384059 0.999262i \(-0.512228\pi\)
0.938487 + 0.345315i \(0.112228\pi\)
\(60\) 3.19720 7.05535i 0.412756 0.910841i
\(61\) −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
\(63\) −8.38547 + 0.690230i −1.05647 + 0.0869608i
\(64\) 3.06301 + 7.39040i 0.382877 + 0.923799i
\(65\) −0.235797 7.65159i −0.0292470 0.949063i
\(66\) 4.38493 1.18354i 0.539748 0.145683i
\(67\) −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
\(69\) −2.02005 + 3.03498i −0.243185 + 0.365369i
\(70\) −8.58580 + 2.22317i −1.02620 + 0.265720i
\(71\) 1.11003 + 3.41631i 0.131736 + 0.405442i 0.995068 0.0991946i \(-0.0316266\pi\)
−0.863332 + 0.504636i \(0.831627\pi\)
\(72\) 7.41863 + 4.11872i 0.874294 + 0.485396i
\(73\) 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
\(75\) −3.50628 7.91871i −0.404870 0.914374i
\(76\) 2.72397 14.7029i 0.312461 1.68654i
\(77\) −4.20714 3.05667i −0.479448 0.348340i
\(78\) 8.37517 + 0.423568i 0.948301 + 0.0479596i
\(79\) 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
\(81\) 8.87886 1.47166i 0.986540 0.163517i
\(82\) −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 \(0.490465\pi\)
\(84\) −1.66315 9.57204i −0.181464 1.04440i
\(85\) −1.97572 + 1.53060i −0.214297 + 0.166017i
\(86\) −7.34551 + 8.37654i −0.792087 + 0.903266i
\(87\) −6.09457 + 2.26083i −0.653406 + 0.242387i
\(88\) 1.81572 + 4.92013i 0.193556 + 0.524488i
\(89\) −9.96050 + 13.7094i −1.05581 + 1.45320i −0.172150 + 0.985071i \(0.555071\pi\)
−0.883661 + 0.468128i \(0.844929\pi\)
\(90\) 8.95791 3.12345i 0.944246 0.329240i
\(91\) −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
\(96\) −3.96756 + 8.95871i −0.404938 + 0.914344i
\(97\) −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 \(0.110170\pi\)
−0.940700 + 0.339241i \(0.889830\pi\)
\(102\) −1.49530 2.29337i −0.148057 0.227077i
\(103\) 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
\(105\) −9.22350 5.73713i −0.900122 0.559886i
\(106\) 2.50454 + 1.07593i 0.243263 + 0.104504i
\(107\) 9.81778i 0.949120i 0.880223 + 0.474560i \(0.157393\pi\)
−0.880223 + 0.474560i \(0.842607\pi\)
\(108\) 2.61297 + 10.0584i 0.251433 + 0.967875i
\(109\) 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
\(111\) −9.09573 11.4954i −0.863329 1.09110i
\(112\) 10.8358 2.90506i 1.02388 0.274502i
\(113\) 12.5977 9.15275i 1.18509 0.861018i 0.192353 0.981326i \(-0.438388\pi\)
0.992737 + 0.120308i \(0.0383881\pi\)
\(114\) 15.3410 10.0025i 1.43681 0.936818i
\(115\) −4.42940 + 1.59163i −0.413043 + 0.148421i
\(116\) −3.23189 6.77459i −0.300074 0.629005i
\(117\) 6.69817 + 7.78581i 0.619246 + 0.719799i
\(118\) −1.10542 + 12.0348i −0.101762 + 1.10790i
\(119\) −0.968675 + 2.98128i −0.0887983 + 0.273293i
\(120\) 4.52079 + 9.97810i 0.412689 + 0.910872i
\(121\) −2.33677 7.19183i −0.212433 0.653803i
\(122\) 1.24500 0.281760i 0.112717 0.0255093i
\(123\) −6.97445 8.81447i −0.628865 0.794774i
\(124\) −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 0.671360 0.741131i \(-0.265710\pi\)
−0.497396 + 0.867524i \(0.665710\pi\)
\(128\) −10.7142 3.63406i −0.947009 0.321208i
\(129\) −13.6334 + 0.560155i −1.20036 + 0.0493189i
\(130\) 8.35576 + 6.88376i 0.732848 + 0.603746i
\(131\) −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
\(134\) −1.08283 1.81992i −0.0935419 0.157217i
\(135\) 10.3363 + 5.30677i 0.889603 + 0.456734i
\(136\) 2.48243 1.95741i 0.212867 0.167847i
\(137\) −2.61762 + 1.90181i −0.223638 + 0.162483i −0.693963 0.720011i \(-0.744137\pi\)
0.470325 + 0.882494i \(0.344137\pi\)
\(138\) −1.34355 4.97778i −0.114371 0.423737i
\(139\) −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
\(141\) −1.70705 + 0.633245i −0.143760 + 0.0533289i
\(142\) −4.66756 2.00515i −0.391693 0.168268i
\(143\) 6.34789i 0.530838i
\(144\) −11.2967 + 4.04782i −0.941391 + 0.337318i
\(145\) −8.05733 2.34619i −0.669125 0.194841i
\(146\) 3.95884 + 17.4927i 0.327636 + 1.44771i
\(147\) −1.49842 + 0.0615652i −0.123587 + 0.00507781i
\(148\) 12.2772 11.6522i 1.00918 0.957806i
\(149\) 20.1075i 1.64727i 0.567122 + 0.823634i \(0.308057\pi\)
−0.567122 + 0.823634i \(0.691943\pi\)
\(150\) 11.6892 + 3.65535i 0.954423 + 0.298458i
\(151\) 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
\(153\) 0.771060 3.26323i 0.0623365 0.263816i
\(154\) 7.17295 1.62334i 0.578013 0.130812i
\(155\) 12.2951 + 15.8707i 0.987568 + 1.27477i
\(156\) −8.25954 + 8.51033i −0.661293 + 0.681372i
\(157\) 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
\(159\) 1.16113 + 3.13007i 0.0920834 + 0.248231i
\(160\) −11.0065 + 6.23354i −0.870140 + 0.492805i
\(161\) −3.46993 + 4.77595i −0.273469 + 0.376398i
\(162\) −6.71402 + 10.8130i −0.527503 + 0.849553i
\(163\) 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
\(165\) 2.70385 + 6.65283i 0.210495 + 0.517922i
\(166\) −7.47087 + 4.44505i −0.579852 + 0.345003i
\(167\) 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
\(170\) 0.214720 3.52793i 0.0164683 0.270580i
\(171\) 21.8286 + 5.15783i 1.66928 + 0.394429i
\(172\) −2.05764 15.6209i −0.156893 1.19108i
\(173\) −13.1367 9.54436i −0.998764 0.725644i −0.0369410 0.999317i \(-0.511761\pi\)
−0.961823 + 0.273673i \(0.911761\pi\)
\(174\) 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
\(177\) −11.6075 + 9.18446i −0.872476 + 0.690346i
\(178\) −5.28983 23.3739i −0.396489 1.75195i
\(179\) 2.97647 + 9.16063i 0.222472 + 0.684697i 0.998538 + 0.0540466i \(0.0172119\pi\)
−0.776067 + 0.630651i \(0.782788\pi\)
\(180\) −5.03137 + 12.4373i −0.375017 + 0.927018i
\(181\) −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
\(183\) 1.30145 + 0.866226i 0.0962057 + 0.0640333i
\(184\) 5.58534 2.06120i 0.411757 0.151954i
\(185\) −0.582908 18.9153i −0.0428563 1.39068i
\(186\) −18.4223 + 12.0116i −1.35079 + 0.880730i
\(187\) 1.67663 1.21814i 0.122607 0.0890795i
\(188\) −0.905233 1.89752i −0.0660209 0.138391i
\(189\) 14.4627 1.79075i 1.05201 0.130258i
\(190\) 23.5993 + 1.43632i 1.71208 + 0.104202i
\(191\) 16.3988 11.9144i 1.18657 0.862096i 0.193675 0.981066i \(-0.437959\pi\)
0.992898 + 0.118970i \(0.0379591\pi\)
\(192\) −5.82632 12.5720i −0.420478 0.907303i
\(193\) 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
\(195\) 0.952131 + 13.2250i 0.0681835 + 0.947062i
\(196\) −0.226150 1.71685i −0.0161536 0.122632i
\(197\) 4.59514 + 14.1424i 0.327390 + 1.00760i 0.970350 + 0.241703i \(0.0777060\pi\)
−0.642960 + 0.765900i \(0.722294\pi\)
\(198\) −7.50436 + 2.36001i −0.533312 + 0.167718i
\(199\) 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
\(204\) 3.83277 + 0.548434i 0.268348 + 0.0383981i
\(205\) −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
\(210\) 14.7004 4.45789i 1.01443 0.307624i
\(211\) −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
\(213\) −2.16392 5.83331i −0.148269 0.399692i
\(214\) −10.4392 9.15428i −0.713608 0.625774i
\(215\) −14.5634 9.91028i −0.993219 0.675875i
\(216\) −13.1315 6.60033i −0.893484 0.449096i
\(217\) 23.9482 + 7.78125i 1.62571 + 0.528226i
\(218\) −0.285535 + 3.10865i −0.0193389 + 0.210544i
\(219\) −12.1708 + 18.2859i −0.822429 + 1.23564i
\(220\) −7.37068 + 3.79926i −0.496931 + 0.256146i
\(221\) 3.63917 1.18244i 0.244797 0.0795394i
\(222\) 20.7040 + 1.04709i 1.38956 + 0.0702761i
\(223\) 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
\(225\) 6.63099 + 13.4547i 0.442066 + 0.896982i
\(226\) −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 \(-0.128014\pi\)
\(228\) −3.66863 + 25.6385i −0.242961 + 1.69795i
\(229\) −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
\(231\) 7.49818 + 4.99069i 0.493344 + 0.328363i
\(232\) 10.2169 + 2.88030i 0.670770 + 0.189101i
\(233\) 5.73497 17.6504i 0.375710 1.15632i −0.567288 0.823520i \(-0.692007\pi\)
0.942998 0.332798i \(-0.107993\pi\)
\(234\) −14.5241 0.137510i −0.949471 0.00898933i
\(235\) −2.25681 0.657154i −0.147218 0.0428680i
\(236\) −11.7659 12.3969i −0.765893 0.806970i
\(237\) −8.13228 + 3.01674i −0.528249 + 0.195958i
\(238\) −2.26676 3.80978i −0.146932 0.246952i
\(239\) −7.59666 5.51929i −0.491387 0.357013i 0.314331 0.949314i \(-0.398220\pi\)
−0.805717 + 0.592300i \(0.798220\pi\)
\(240\) −14.8249 4.49684i −0.956945 0.290270i
\(241\) 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
\(246\) 15.8755 + 0.802890i 1.01218 + 0.0511904i
\(247\) 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 \(-0.583548\pi\)
−0.259469 + 0.965751i \(0.583548\pi\)
\(252\) 3.55885 + 16.4470i 0.224186 + 1.03607i
\(253\) 3.71187 1.20606i 0.233363 0.0758244i
\(254\) −3.34251 + 0.756455i −0.209728 + 0.0474642i
\(255\) 3.31033 2.78932i 0.207301 0.174674i
\(256\) 13.8542 8.00387i 0.865886 0.500242i
\(257\) −11.5351 −0.719538 −0.359769 0.933041i \(-0.617145\pi\)
−0.359769 + 0.933041i \(0.617145\pi\)
\(258\) 12.1165 15.0187i 0.754338 0.935021i
\(259\) −13.9516 19.2028i −0.866913 1.19320i
\(260\) −15.1105 + 2.46608i −0.937115 + 0.152940i
\(261\) 10.3864 4.34593i 0.642905 0.269006i
\(262\) −2.99470 5.03324i −0.185013 0.310955i
\(263\) −10.6114 14.6054i −0.654330 0.900608i 0.344947 0.938622i \(-0.387897\pi\)
−0.999277 + 0.0380143i \(0.987897\pi\)
\(264\) −3.49211 8.38562i −0.214924 0.516099i
\(265\) −1.20497 + 4.13811i −0.0740205 + 0.254202i
\(266\) 25.4847 15.1630i 1.56257 0.929704i
\(267\) 16.2627 24.4337i 0.995263 1.49532i
\(268\) 2.94476 + 0.545567i 0.179880 + 0.0333258i
\(269\) 6.82911 + 2.21891i 0.416378 + 0.135289i 0.509711 0.860346i \(-0.329752\pi\)
−0.0933334 + 0.995635i \(0.529752\pi\)
\(270\) −15.2804 + 6.04236i −0.929934 + 0.367726i
\(271\) −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
\(273\) 10.3193 + 13.0417i 0.624551 + 0.789322i
\(274\) 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 \(0.167901\pi\)
\(278\) −2.20099 9.72541i −0.132007 0.583291i
\(279\) −26.2131 6.19383i −1.56934 0.370815i
\(280\) 6.65080 + 16.4439i 0.397461 + 0.982709i
\(281\) 12.3397 + 4.00940i 0.736122 + 0.239181i 0.652999 0.757359i \(-0.273510\pi\)
0.0831232 + 0.996539i \(0.473510\pi\)
\(282\) 0.918359 2.40555i 0.0546875 0.143248i
\(283\) −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
\(285\) 18.6586 + 22.1437i 1.10524 + 1.31168i
\(286\) −6.74968 5.91889i −0.399117 0.349992i
\(287\) −10.6979 14.7244i −0.631475 0.869151i
\(288\) 6.22922 15.7860i 0.367061 0.930197i
\(289\) 12.7426 + 9.25806i 0.749567 + 0.544592i
\(290\) 10.0075 6.37968i 0.587661 0.374628i
\(291\) 28.6443 10.6258i 1.67916 0.622898i
\(292\) −22.2912 12.1011i −1.30450 0.708166i
\(293\) −10.3849 −0.606691 −0.303345 0.952881i \(-0.598104\pi\)
−0.303345 + 0.952881i \(0.598104\pi\)
\(294\) 1.33169 1.65066i 0.0776657 0.0962686i
\(295\) −19.0998 + 0.588594i −1.11203 + 0.0342693i
\(296\) 0.942287 + 23.9190i 0.0547693 + 1.39026i
\(297\) −8.43146 4.66242i −0.489243 0.270541i
\(298\) −21.3802 18.7486i −1.23852 1.08608i
\(299\) 7.20614 0.416742
\(300\) −14.7860 + 9.02080i −0.853669 + 0.520816i
\(301\) −22.0945 −1.27350
\(302\) −8.45076 7.41059i −0.486286 0.426432i
\(303\) −0.484837 11.8003i −0.0278532 0.677910i
\(304\) −29.8655 1.56101i −1.71291 0.0895298i
\(305\) 0.682517 + 1.89939i 0.0390808 + 0.108759i
\(306\) 2.75082 + 3.86256i 0.157254 + 0.220808i
\(307\) 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
\(309\) −8.15236 21.9764i −0.463771 1.25020i
\(310\) −28.3395 1.72482i −1.60957 0.0979632i
\(311\) −19.8576 14.4274i −1.12602 0.818102i −0.140910 0.990022i \(-0.545003\pi\)
−0.985111 + 0.171920i \(0.945003\pi\)
\(312\) −1.34764 16.7175i −0.0762949 0.946443i
\(313\) 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
\(315\) 16.3700 + 9.27279i 0.922347 + 0.522463i
\(316\) −4.31247 9.03967i −0.242596 0.508521i
\(317\) 5.41442 16.6639i 0.304104 0.935936i −0.675906 0.736988i \(-0.736247\pi\)
0.980010 0.198948i \(-0.0637525\pi\)
\(318\) −4.41084 1.68392i −0.247348 0.0944293i
\(319\) 6.61824 + 2.15040i 0.370550 + 0.120399i
\(320\) 3.63457 17.5154i 0.203179 0.979142i
\(321\) −0.698088 16.9906i −0.0389635 0.948320i
\(322\) −1.84281 8.14275i −0.102696 0.453778i
\(323\) 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
\(327\) −2.99827 + 2.37238i −0.165805 + 0.131193i
\(328\) 0.722529 + 18.3406i 0.0398950 + 1.01269i
\(329\) −2.80389 + 0.911040i −0.154584 + 0.0502273i
\(330\) −9.59504 3.32823i −0.528189 0.183213i
\(331\) 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
\(333\) 16.5584 + 19.2471i 0.907393 + 1.05473i
\(334\) −6.41098 + 3.81443i −0.350793 + 0.208717i
\(335\) 2.64698 2.05063i 0.144620 0.112038i
\(336\) −18.5457 + 5.79794i −1.01175 + 0.316304i
\(337\) 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
\(339\) −21.1506 + 16.7354i −1.14874 + 0.908943i
\(340\) 3.55102 + 3.51782i 0.192581 + 0.190781i
\(341\) −9.78520 13.4682i −0.529898 0.729343i
\(342\) −25.8377 + 18.4010i −1.39714 + 0.995012i
\(343\) 17.2039 0.928925
\(344\) 18.5282 + 12.3773i 0.998973 + 0.667341i
\(345\) 7.55230 3.06942i 0.406602 0.165252i
\(346\) 22.3974 5.06883i 1.20409 0.272502i
\(347\) −30.8425 + 10.0213i −1.65571 + 0.537974i −0.979967 0.199161i \(-0.936178\pi\)
−0.675746 + 0.737135i \(0.736178\pi\)
\(348\) 6.07479 + 11.4942i 0.325643 + 0.616156i
\(349\) −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 \(0.0464565\pi\)
−0.714935 + 0.699191i \(0.753544\pi\)
\(354\) 1.05730 20.9060i 0.0561951 1.11114i
\(355\) 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 −0.764397 0.644746i \(-0.776963\pi\)
0.376979 + 0.926222i \(0.376963\pi\)
\(360\) −8.53312 16.9466i −0.449735 0.893162i
\(361\) 29.8520 + 21.6888i 1.57116 + 1.14151i
\(362\) −8.55106 14.3719i −0.449434 0.755370i
\(363\) 4.55536 + 12.2800i 0.239094 + 0.644531i
\(364\) −13.9286 + 13.2196i −0.730059 + 0.692897i
\(365\) −26.6873 + 9.58965i −1.39687 + 0.501945i
\(366\) −2.13455 + 0.576136i −0.111575 + 0.0301151i
\(367\) −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
\(369\) 12.6967 + 14.7583i 0.660962 + 0.768288i
\(370\) 20.6560 + 17.0172i 1.07386 + 0.884681i
\(371\) 1.67050 + 5.14126i 0.0867278 + 0.266921i
\(372\) 4.40550 30.7882i 0.228415 1.59629i
\(373\) −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
\(375\) −3.47974 + 19.0497i −0.179693 + 0.983723i
\(376\) 2.86168 + 0.806753i 0.147580 + 0.0416051i
\(377\) 10.3946 + 7.55215i 0.535351 + 0.388955i
\(378\) −11.5812 + 17.0479i −0.595675 + 0.876849i
\(379\) −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
\(381\) −3.49406 2.32560i −0.179006 0.119144i
\(382\) −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 \(0.479293\pi\)
\(384\) 18.8003 + 5.52724i 0.959397 + 0.282061i
\(385\) 3.93227 + 10.9432i 0.200407 + 0.557717i
\(386\) −8.32588 7.30109i −0.423776 0.371616i
\(387\) 23.5541 1.93880i 1.19732 0.0985546i
\(388\) 15.1898 + 31.8403i 0.771145 + 1.61645i
\(389\) 12.9514 17.8261i 0.656663 0.903819i −0.342702 0.939444i \(-0.611342\pi\)
0.999365 + 0.0356248i \(0.0113421\pi\)
\(390\) −14.9499 11.3188i −0.757016 0.573152i
\(391\) −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
\(396\) 4.48783 10.1799i 0.225522 0.511557i
\(397\) −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 \(0.141817\pi\)
−0.902381 + 0.430939i \(0.858183\pi\)
\(402\) 2.00333 + 3.07255i 0.0999172 + 0.153245i
\(403\) −9.49838 29.2330i −0.473148 1.45620i
\(404\) 13.5205 1.78097i 0.672671 0.0886066i
\(405\) −18.2652 8.44889i −0.907603 0.419829i
\(406\) 5.87553 13.6770i 0.291597 0.678777i
\(407\) 15.6925i 0.777846i
\(408\) −4.15689 + 3.56399i −0.205797 + 0.176444i
\(409\) −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
\(411\) 4.39480 3.47738i 0.216780 0.171527i
\(412\) 24.4285 11.6539i 1.20351 0.574147i
\(413\) −19.3901 + 14.0877i −0.954125 + 0.693212i
\(414\) 2.67908 + 8.51896i 0.131670 + 0.418684i
\(415\) −8.41792 10.8660i −0.413220 0.533390i
\(416\) 19.0861 3.28301i 0.935771 0.160963i
\(417\) 6.76660 10.1664i 0.331362 0.497849i
\(418\) −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 \(0.116674\pi\)
\(420\) −8.96690 + 19.7875i −0.437540 + 0.965531i
\(421\) −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
\(423\) 2.90918 1.21727i 0.141449 0.0591856i
\(424\) 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
\(428\) 19.4674 2.56431i 0.940992 0.123951i
\(429\) −0.451364 10.9856i −0.0217920 0.530390i
\(430\) 24.1168 6.24471i 1.16301 0.301146i
\(431\) −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 \(0.618671\pi\)
\(434\) −30.6035 + 18.2086i −1.46902 + 0.874042i
\(435\) 14.1108 + 3.48739i 0.676560 + 0.167207i
\(436\) −3.03917 3.20217i −0.145550 0.153356i
\(437\) 12.7318 9.25020i 0.609045 0.442497i
\(438\) −8.09495 29.9913i −0.386792 1.43304i
\(439\) 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
\(441\) 2.58877 0.213088i 0.123275 0.0101471i
\(442\) −2.13595 + 4.97204i −0.101597 + 0.236496i
\(443\) 25.0316i 1.18929i 0.803990 + 0.594643i \(0.202707\pi\)
−0.803990 + 0.594643i \(0.797293\pi\)
\(444\) −20.4182 + 21.0382i −0.969005 + 0.998427i
\(445\) 35.6596 12.8137i 1.69043 0.607429i
\(446\) −2.80340 + 0.634448i −0.132745 + 0.0300420i
\(447\) −1.42973 34.7978i −0.0676239 1.64588i
\(448\) −8.59056 20.7272i −0.405866 0.979267i
\(449\) 32.0071i 1.51051i −0.655433 0.755253i \(-0.727514\pi\)
0.655433 0.755253i \(-0.272486\pi\)
\(450\) −20.4892 5.49475i −0.965871 0.259025i
\(451\) 12.0327i 0.566598i
\(452\) −21.4391 22.5890i −1.00841 1.06250i
\(453\) −0.565118 13.7542i −0.0265515 0.646230i
\(454\) 8.06642 + 35.6427i 0.378576 + 1.67279i
\(455\) 0.661319 + 21.4597i 0.0310031 + 1.00605i
\(456\) −23.8405 27.8066i −1.11644 1.30216i
\(457\) 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
\(459\) −1.10236 + 5.70213i −0.0514537 + 0.266153i
\(460\) 4.31292 + 8.36720i 0.201091 + 0.390123i
\(461\) −2.72769 + 3.75434i −0.127041 + 0.174857i −0.867800 0.496914i \(-0.834466\pi\)
0.740758 + 0.671771i \(0.234466\pi\)
\(462\) −12.2980 + 3.31936i −0.572156 + 0.154431i
\(463\) 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
\(465\) −22.4063 26.5915i −1.03907 1.23315i
\(466\) 13.4202 + 22.5556i 0.621679 + 1.04487i
\(467\) 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
\(470\) 2.80304 1.78691i 0.129295 0.0824240i
\(471\) 1.49979 + 36.5029i 0.0691065 + 1.68196i
\(472\) 24.1523 0.951478i 1.11170 0.0437953i
\(473\) 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
\(477\) −2.23200 5.33431i −0.102196 0.244241i
\(478\) 12.9519 2.93119i 0.592406 0.134070i
\(479\) −5.73304 17.6445i −0.261949 0.806197i −0.992381 0.123211i \(-0.960681\pi\)
0.730431 0.682986i \(-0.239319\pi\)
\(480\) 18.6045 11.5703i 0.849176 0.528111i
\(481\) −8.95343 + 27.5558i −0.408241 + 1.25644i
\(482\) −2.70478 + 29.4471i −0.123199 + 1.34128i
\(483\) 5.66544 8.51195i 0.257787 0.387307i
\(484\) −13.6501 + 6.51195i −0.620461 + 0.295998i
\(485\) 37.8692 + 11.0270i 1.71955 + 0.500712i
\(486\) 10.8504 19.1904i 0.492182 0.870492i
\(487\) −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
\(489\) −7.07516 + 5.59821i −0.319950 + 0.253160i
\(490\) 2.65061 0.686340i 0.119742 0.0310057i
\(491\) −4.69454 + 3.41078i −0.211862 + 0.153926i −0.688656 0.725089i \(-0.741799\pi\)
0.476794 + 0.879015i \(0.341799\pi\)
\(492\) −15.6563 + 16.1317i −0.705841 + 0.727273i
\(493\) 4.19471i 0.188920i
\(494\) −33.2593 14.2880i −1.49641 0.642846i
\(495\) −5.15231 11.3211i −0.231579 0.508844i
\(496\) 35.8643 + 1.87455i 1.61035 + 0.0841696i
\(497\) −3.11319 9.58142i −0.139646 0.429786i
\(498\) 12.6130 8.22378i 0.565200 0.368516i
\(499\) 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 −0.943343 0.331819i \(-0.892338\pi\)
−0.568142 + 0.822931i \(0.692338\pi\)
\(504\) −20.8064 11.5514i −0.926790 0.514541i
\(505\) 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 0.855977 0.517014i \(-0.172957\pi\)
−0.756221 + 0.654316i \(0.772957\pi\)
\(510\) −0.120741 + 6.12068i −0.00534649 + 0.271028i
\(511\) −20.9065 + 28.7753i −0.924847 + 1.27294i
\(512\) −4.40742 + 22.1940i −0.194782 + 0.980847i
\(513\) −38.1432 7.37399i −1.68406 0.325570i
\(514\) 10.7555 12.2652i 0.474406 0.540994i
\(515\) 8.46015 29.0540i 0.372799 1.28027i
\(516\) 4.67164 + 26.8871i 0.205658 + 1.18364i
\(517\) 1.85373 + 0.602312i 0.0815268 + 0.0264897i
\(518\) 33.4270 + 3.07033i 1.46870 + 0.134903i
\(519\) 23.4129 + 15.5833i 1.02771 + 0.684031i
\(520\) 11.4672 18.3664i 0.502869 0.805418i
\(521\) −27.7287 + 9.00962i −1.21482 + 0.394718i −0.845192 0.534462i \(-0.820514\pi\)
−0.369626 + 0.929181i \(0.620514\pi\)
\(522\) −5.06352 + 15.0961i −0.221624 + 0.660737i
\(523\) 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
\(525\) 9.83375 + 22.2089i 0.429180 + 0.969276i
\(526\) 25.4242 + 2.33526i 1.10855 + 0.101822i
\(527\) −5.89843 + 8.11849i −0.256940 + 0.353647i
\(528\) 12.1725 + 4.10578i 0.529740 + 0.178681i
\(529\) 5.73827 + 17.6606i 0.249490 + 0.767851i
\(530\) −3.27650 5.13969i −0.142322 0.223254i
\(531\) 19.4348 16.7199i 0.843400 0.725581i
\(532\) −7.63967 + 41.2360i −0.331222 + 1.78781i
\(533\) −6.86533 + 21.1293i −0.297370 + 0.915212i
\(534\) 10.8165 + 40.0745i 0.468076 + 1.73419i
\(535\) 12.3506 18.1496i 0.533963 0.784674i
\(536\) −3.32585 + 2.62245i −0.143655 + 0.113273i
\(537\) −5.80241 15.6417i −0.250392 0.674987i
\(538\) −8.72694 + 5.19240i −0.376245 + 0.223860i
\(539\) 1.29883 + 0.943656i 0.0559446 + 0.0406461i
\(540\) 7.82291 21.8815i 0.336644 0.941632i
\(541\) 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
\(546\) −23.4891 1.18794i −1.00524 0.0508393i
\(547\) 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
\(552\) −9.51937 + 3.96424i −0.405171 + 0.168729i
\(553\) −13.3576 + 4.34014i −0.568022 + 0.184561i
\(554\) 1.04606 + 4.62217i 0.0444428 + 0.196377i
\(555\) 2.35374 + 32.6932i 0.0999106 + 1.38775i
\(556\) 12.3932 + 6.72785i 0.525590 + 0.285324i
\(557\) 28.3445 1.20100 0.600498 0.799626i \(-0.294969\pi\)
0.600498 + 0.799626i \(0.294969\pi\)
\(558\) 31.0274 22.0970i 1.31350 0.935440i
\(559\) 15.8527 + 21.8193i 0.670497 + 0.922860i
\(560\) −23.6860 8.26080i −1.00092 0.349083i
\(561\) −2.81495 + 2.22733i −0.118847 + 0.0940378i
\(562\) −15.7689 + 9.38226i −0.665171 + 0.395767i
\(563\) −18.1788 25.0210i −0.766146 1.05451i −0.996678 0.0814444i \(-0.974047\pi\)
0.230532 0.973065i \(-0.425953\pi\)
\(564\) 1.70151 + 3.21946i 0.0716465 + 0.135564i
\(565\) −34.8026 + 1.07250i −1.46416 + 0.0451206i
\(566\) −0.183856 0.309009i −0.00772803 0.0129886i
\(567\) −24.9018 + 4.12742i −1.04578 + 0.173335i
\(568\) −2.75683 + 9.77889i −0.115674 + 0.410313i
\(569\) −33.1483 10.7705i −1.38965 0.451524i −0.483819 0.875168i \(-0.660751\pi\)
−0.905829 + 0.423644i \(0.860751\pi\)
\(570\) −40.9429 0.807669i −1.71491 0.0338295i
\(571\) −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
\(573\) −27.5324 + 21.7850i −1.15018 + 0.910081i
\(574\) 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 \(0.952054\pi\)
\(578\) −21.7255 + 4.91678i −0.903662 + 0.204511i
\(579\) −0.556767 13.5510i −0.0231385 0.563160i
\(580\) −2.54770 + 16.5895i −0.105787 + 0.688840i
\(581\) −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
\(584\) 33.6518 12.4188i 1.39252 0.513895i
\(585\) −2.58811 22.8194i −0.107005 0.943465i
\(586\) 9.68305 11.0422i 0.400003 0.456148i
\(587\) −11.2432 15.4749i −0.464057 0.638719i 0.511287 0.859410i \(-0.329169\pi\)
−0.975344 + 0.220691i \(0.929169\pi\)
\(588\) 0.513448 + 2.95509i 0.0211743 + 0.121866i
\(589\) −54.3068 39.4562i −2.23767 1.62577i
\(590\) 17.1832 20.8575i 0.707420 0.858691i
\(591\) −8.95789 24.1479i −0.368478 0.993313i
\(592\) −26.3115 21.3006i −1.08140 0.875448i
\(593\) −8.54639 −0.350958 −0.175479 0.984483i \(-0.556147\pi\)
−0.175479 + 0.984483i \(0.556147\pi\)
\(594\) 12.8192 4.61780i 0.525977 0.189471i
\(595\) 5.54113 4.29274i 0.227164 0.175985i
\(596\) 39.8705 5.25188i 1.63316 0.215126i
\(597\) 1.03494 + 25.1890i 0.0423572 + 1.03092i
\(598\) −6.71914 + 7.66225i −0.274766 + 0.313333i
\(599\) −34.9700 −1.42884 −0.714419 0.699719i \(-0.753309\pi\)
−0.714419 + 0.699719i \(0.753309\pi\)
\(600\) 4.19496 24.1330i 0.171259 0.985226i
\(601\) −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
\(603\) −1.03303 + 4.37192i −0.0420683 + 0.178038i
\(604\) 15.7593 2.07587i 0.641236 0.0844659i
\(605\) −4.72735 + 16.2347i −0.192194 + 0.660036i
\(606\) 12.9993 + 10.4873i 0.528059 + 0.426017i
\(607\) −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
\(609\) 17.0929 6.34076i 0.692639 0.256940i
\(610\) −2.65600 1.04531i −0.107538 0.0423234i
\(611\) 2.91147 + 2.11531i 0.117786 + 0.0855763i
\(612\) −6.67195 0.676588i −0.269698 0.0273494i
\(613\) 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
\(615\) 1.80480 + 25.0685i 0.0727767 + 1.01086i
\(616\) −5.09238 13.7990i −0.205178 0.555979i
\(617\) −2.44863 + 7.53611i −0.0985782 + 0.303392i −0.988170 0.153365i \(-0.950989\pi\)
0.889591 + 0.456757i \(0.150989\pi\)
\(618\) 30.9688 + 11.8229i 1.24575 + 0.475587i
\(619\) −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
\(621\) −5.29278 + 9.57140i −0.212392 + 0.384087i
\(622\) 33.8562 7.66211i 1.35751 0.307223i
\(623\) 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
\(627\) −14.8992 18.8300i −0.595017 0.751997i
\(628\) −41.8242 + 5.50922i −1.66897 + 0.219842i
\(629\) 8.99630 2.92307i 0.358706 0.116551i
\(630\) −25.1234 + 8.76005i −1.00094 + 0.349009i
\(631\) −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
\(633\) 8.16985 12.2747i 0.324723 0.487874i
\(634\) 12.6701 + 21.2948i 0.503194 + 0.845725i
\(635\) −1.83239 5.09940i −0.0727161 0.202363i
\(636\) 5.90325 3.11991i 0.234079 0.123713i
\(637\) 1.74233 + 2.39811i 0.0690335 + 0.0950165i
\(638\) −8.45747 + 5.03207i −0.334834 + 0.199221i
\(639\) 4.15963 + 9.94121i 0.164552 + 0.393268i
\(640\) 15.2351 + 20.1963i 0.602221 + 0.798330i
\(641\) −22.8319 31.4254i −0.901806 1.24123i −0.969888 0.243550i \(-0.921688\pi\)
0.0680821 0.997680i \(-0.478312\pi\)
\(642\) 18.7169 + 15.1000i 0.738696 + 0.595951i
\(643\) −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
\(645\) 25.9080 + 16.1151i 1.02013 + 0.634532i
\(646\) 2.60859 + 11.5264i 0.102633 + 0.453501i
\(647\) 17.8336 5.79448i 0.701110 0.227804i 0.0632959 0.997995i \(-0.479839\pi\)
0.637814 + 0.770190i \(0.279839\pi\)
\(648\) 23.1945 + 10.4888i 0.911167 + 0.412037i
\(649\) 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 0.974264 0.225409i \(-0.0723718\pi\)
−0.920688 + 0.390299i \(0.872372\pi\)
\(654\) 0.273106 5.40010i 0.0106793 0.211161i
\(655\) 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 −0.388168 0.921589i \(-0.626892\pi\)
0.756532 + 0.653956i \(0.226892\pi\)
\(660\) 12.4855 7.09905i 0.485997 0.276330i
\(661\) −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
\(663\) −6.21384 + 2.30508i −0.241325 + 0.0895218i
\(664\) 10.7653 + 13.6528i 0.417774 + 0.529830i
\(665\) 28.7153 + 37.0662i 1.11353 + 1.43736i
\(666\) −35.9047 0.339936i −1.39128 0.0131722i
\(667\) 2.44113 7.51303i 0.0945210 0.290906i
\(668\) 1.92185 10.3734i 0.0743586 0.401359i
\(669\) −2.93051 1.95051i −0.113300 0.0754110i
\(670\) −0.287672 + 4.72656i −0.0111137 + 0.182603i
\(671\) −0.517177 1.59171i −0.0199654 0.0614471i
\(672\) 11.1275 25.1257i 0.429251 0.969244i
\(673\) 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
\(675\) −12.4322 22.8131i −0.478517 0.878079i
\(676\) −2.51621 0.466170i −0.0967773 0.0179296i
\(677\) 22.0160 + 15.9956i 0.846144 + 0.614760i 0.924080 0.382199i \(-0.124833\pi\)
−0.0779360 + 0.996958i \(0.524833\pi\)
\(678\) 1.92656 38.0938i 0.0739892 1.46298i
\(679\) 47.0493 15.2872i 1.80559 0.586670i
\(680\) −7.05152 + 0.495701i −0.270413 + 0.0190093i
\(681\) −24.7989 + 37.2587i −0.950297 + 1.42776i
\(682\) 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 \(0.544887\pi\)
\(684\) 4.52589 44.6305i 0.173052 1.70649i
\(685\) 7.23149 0.222851i 0.276301 0.00851471i
\(686\) −16.0413 + 18.2928i −0.612458 + 0.698424i
\(687\) 1.74401 + 4.70135i 0.0665380 + 0.179368i
\(688\) −30.4368 + 8.16006i −1.16039 + 0.311100i
\(689\) 3.87866 5.33852i 0.147765 0.203381i
\(690\) −3.77821 + 10.8923i −0.143834 + 0.414663i
\(691\) 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
\(696\) −17.8860 4.25815i −0.677967 0.161405i
\(697\) 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 \(-0.739413\pi\)
0.683201 0.730231i \(-0.260587\pi\)
\(702\) 25.1451 0.794755i 0.949040 0.0299961i
\(703\) 19.5533 + 60.1787i 0.737465 + 2.26968i
\(704\) −3.45982 + 14.4245i −0.130397 + 0.543643i
\(705\) 3.95234 + 0.976795i 0.148854 + 0.0367882i
\(706\) −21.6811 9.31404i −0.815979 0.350538i
\(707\) 19.1237i 0.719220i
\(708\) 21.2434 + 20.6174i 0.798375 + 0.774848i
\(709\) −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
\(711\) 13.8592 5.79899i 0.519759 0.217479i
\(712\) −44.9658 + 16.5941i −1.68516 + 0.621890i
\(713\) −15.2891 + 11.1082i −0.572581 + 0.416004i
\(714\) 4.19373 + 6.43200i 0.156947 + 0.240712i
\(715\) 7.98554 11.7350i 0.298642 0.438864i
\(716\) 17.3869 8.29462i 0.649780 0.309985i
\(717\) 13.5391 + 9.01148i 0.505629 + 0.336540i
\(718\) 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 \(-0.134324\pi\)
\(720\) 25.9756 + 6.72807i 0.968054 + 0.250740i
\(721\) −11.7287 36.0971i −0.436798 1.34433i
\(722\) −50.8962 + 11.5185i −1.89416 + 0.428674i
\(723\) −28.4016 + 22.4727i −1.05627 + 0.835770i
\(724\) 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 0.714314 0.699825i \(-0.246739\pi\)
−0.444838 + 0.895611i \(0.646739\pi\)
\(728\) −1.06904 27.1365i −0.0396213 1.00575i
\(729\) 26.1846 6.58522i 0.969801 0.243897i
\(730\) 14.6871 37.3180i 0.543593 1.38120i
\(731\) 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 \(0.483219\pi\)
\(734\) −8.89919 14.9570i −0.328475 0.552073i
\(735\) 2.84749 + 1.77117i 0.105031 + 0.0653306i
\(736\) −5.54594 10.5366i −0.204426 0.388386i
\(737\) −2.24627 + 1.63201i −0.0827426 + 0.0601160i
\(738\) −27.5311 0.260656i −1.01343 0.00959490i
\(739\) −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
\(741\) −15.4193 41.5661i −0.566442 1.52697i
\(742\) −7.02427 3.01757i −0.257869 0.110779i
\(743\) 38.1796i 1.40067i 0.713813 + 0.700337i \(0.246967\pi\)
−0.713813 + 0.700337i \(0.753033\pi\)
\(744\) 28.6291 + 33.3918i 1.04959 + 1.22420i
\(745\) 25.2948 37.1715i 0.926731 1.36186i
\(746\) −0.482914 2.13383i −0.0176808 0.0781250i
\(747\) 17.9469 + 4.24064i 0.656644 + 0.155157i
\(748\) −2.85334 3.00638i −0.104329 0.109924i
\(749\) 27.5350i 1.00611i
\(750\) −17.0109 21.4623i −0.621149 0.783692i
\(751\) 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
\(753\) 14.2281 0.584588i 0.518501 0.0213036i
\(754\) −17.7223 + 4.01080i −0.645409 + 0.146065i
\(755\) 9.99808 14.6925i 0.363867 0.534714i
\(756\) −7.32836 28.2100i −0.266530 1.02599i
\(757\) 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
\(759\) −6.33797 + 2.35113i −0.230054 + 0.0853405i
\(760\) −3.31588 47.1696i −0.120280 1.71102i
\(761\) 26.6111 36.6270i 0.964650 1.32773i 0.0199469 0.999801i \(-0.493650\pi\)
0.944703 0.327926i \(-0.106350\pi\)
\(762\) 5.73073 1.54678i 0.207602 0.0560340i
\(763\) −5.00854 + 3.63892i −0.181321 + 0.131738i
\(764\) −27.9079 29.4047i −1.00967 1.06383i
\(765\) −5.53050 + 5.06256i −0.199955 + 0.183037i
\(766\) −17.6099 + 10.4776i −0.636271 + 0.378571i
\(767\) 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 \(-0.0500548\pi\)
\(770\) −15.3024 6.02248i −0.551459 0.217035i
\(771\) 19.9625 0.820196i 0.718932 0.0295386i
\(772\) 15.5264 2.04519i 0.558808 0.0736082i
\(773\) −12.5760 9.13698i −0.452326 0.328634i 0.338187 0.941079i \(-0.390186\pi\)
−0.790514 + 0.612445i \(0.790186\pi\)
\(774\) −19.9008 +