Properties

Label 300.2.r.a.59.38
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 59.38
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.38

$q$-expansion

\(f(q)\) \(=\) \(q+(0.723120 - 1.21536i) q^{2} +(1.73059 - 0.0711045i) q^{3} +(-0.954195 - 1.75770i) q^{4} +(-1.84864 - 1.25798i) q^{5} +(1.16501 - 2.15471i) q^{6} +2.80461 q^{7} +(-2.82623 - 0.111339i) q^{8} +(2.98989 - 0.246105i) q^{9} +O(q^{10})\) \(q+(0.723120 - 1.21536i) q^{2} +(1.73059 - 0.0711045i) q^{3} +(-0.954195 - 1.75770i) q^{4} +(-1.84864 - 1.25798i) q^{5} +(1.16501 - 2.15471i) q^{6} +2.80461 q^{7} +(-2.82623 - 0.111339i) q^{8} +(2.98989 - 0.246105i) q^{9} +(-2.86569 + 1.33709i) q^{10} +(-1.50008 - 1.08987i) q^{11} +(-1.77630 - 2.97401i) q^{12} +(2.01229 + 2.76969i) q^{13} +(2.02807 - 3.40861i) q^{14} +(-3.28869 - 2.04561i) q^{15} +(-2.17902 + 3.35438i) q^{16} +(0.345387 - 1.06299i) q^{17} +(1.86294 - 3.81175i) q^{18} +(-7.11064 - 2.31039i) q^{19} +(-0.447192 + 4.44972i) q^{20} +(4.85363 - 0.199420i) q^{21} +(-2.40932 + 1.03503i) 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} +(5.15677 - 0.638502i) q^{27} +(-2.67615 - 4.92967i) q^{28} +(3.56932 - 1.15974i) q^{29} +(-4.86426 + 2.51772i) q^{30} +(8.53887 + 2.77445i) q^{31} +(2.50108 + 5.07391i) q^{32} +(-2.67352 - 1.77946i) q^{33} +(-1.04216 - 1.18844i) q^{34} +(-5.18472 - 3.52815i) q^{35} +(-3.28552 - 5.02050i) q^{36} +(4.97454 + 6.84687i) q^{37} +(-7.94980 + 6.97130i) q^{38} +(3.67939 + 4.65011i) q^{39} +(5.08464 + 3.76118i) q^{40} +(3.81439 + 5.25005i) q^{41} +(3.26739 - 6.04311i) q^{42} -7.87791 q^{43} +(-0.484300 + 3.67664i) q^{44} +(-5.83683 - 3.30627i) q^{45} +(1.17496 + 2.73507i) q^{46} +(-0.999744 + 0.324837i) q^{47} +(-3.53249 + 5.95999i) q^{48} +0.865841 q^{49} +(6.97968 + 1.13318i) q^{50} +(0.522140 - 1.86416i) q^{51} +(2.94816 - 6.17983i) q^{52} +(-0.595625 - 1.83314i) q^{53} +(2.95296 - 6.72904i) q^{54} +(1.40207 + 3.90186i) q^{55} +(-7.92649 - 0.312264i) q^{56} +(-12.4699 - 3.49274i) q^{57} +(1.17154 - 5.17664i) q^{58} +(-6.91365 + 5.02306i) q^{59} +(-0.457511 + 7.73244i) q^{60} +(-0.730226 - 0.530540i) q^{61} +(9.54658 - 8.37154i) q^{62} +(8.38547 - 0.690230i) q^{63} +(7.97521 + 0.629343i) q^{64} +(-0.235797 - 7.65159i) q^{65} +(-4.09596 + 1.96252i) q^{66} +(0.462733 - 1.42415i) q^{67} +(-2.19799 + 0.407214i) q^{68} +(-2.02005 + 3.03498i) q^{69} +(-8.03715 + 3.75002i) q^{70} +(-1.11003 - 3.41631i) q^{71} +(-8.47753 + 0.362659i) 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} +(8.31220 - 1.10920i) q^{78} +(-4.76272 + 1.54750i) q^{79} +(8.24799 - 3.45987i) q^{80} +(8.87886 - 1.47166i) q^{81} +(9.13896 - 0.839431i) q^{82} +(-5.84619 - 1.89954i) q^{83} +(-4.98183 - 8.34095i) q^{84} +(-1.97572 + 1.53060i) q^{85} +(-5.69668 + 9.57449i) q^{86} +(6.09457 - 2.26083i) q^{87} +(4.11823 + 3.24725i) q^{88} +(-9.96050 + 13.7094i) q^{89} +(-8.23903 + 4.70302i) q^{90} +(5.64370 + 7.76789i) q^{91} +(4.17373 + 0.549778i) q^{92} +(14.9746 + 4.19428i) q^{93} +(-0.328142 + 1.44994i) q^{94} +(10.2386 + 13.2161i) q^{95} +(4.68912 + 8.60303i) q^{96} +(-16.7757 + 5.45075i) q^{97} +(0.626107 - 1.05231i) q^{98} +(-4.75330 - 2.88942i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} - 7q^{6} - 6q^{9} - 5q^{12} - 20q^{13} + 6q^{16} - 24q^{21} - 10q^{22} - 28q^{24} - 20q^{25} - 50q^{28} - 25q^{30} - 10q^{33} - 14q^{34} - 25q^{36} - 60q^{37} - 20q^{40} - 85q^{42} - 30q^{45} + 6q^{46} - 70q^{48} + 88q^{49} + 40q^{52} - 46q^{54} + 50q^{58} + 10q^{60} - 28q^{61} + 18q^{64} + 64q^{66} - 42q^{69} - 40q^{70} - 5q^{72} - 20q^{73} - 80q^{76} - 85q^{78} + 18q^{81} - 48q^{84} - 20q^{85} + 50q^{88} - 60q^{90} + 60q^{94} + 44q^{96} - 120q^{97} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.723120 1.21536i 0.511323 0.859389i
\(3\) 1.73059 0.0711045i 0.999157 0.0410522i
\(4\) −0.954195 1.75770i −0.477097 0.878850i
\(5\) −1.84864 1.25798i −0.826738 0.562587i
\(6\) 1.16501 2.15471i 0.475612 0.879655i
\(7\) 2.80461 1.06004 0.530022 0.847984i \(-0.322184\pi\)
0.530022 + 0.847984i \(0.322184\pi\)
\(8\) −2.82623 0.111339i −0.999225 0.0393644i
\(9\) 2.98989 0.246105i 0.996629 0.0820352i
\(10\) −2.86569 + 1.33709i −0.906211 + 0.422826i
\(11\) −1.50008 1.08987i −0.452291 0.328609i 0.338209 0.941071i \(-0.390179\pi\)
−0.790500 + 0.612462i \(0.790179\pi\)
\(12\) −1.77630 2.97401i −0.512774 0.858524i
\(13\) 2.01229 + 2.76969i 0.558110 + 0.768173i 0.991085 0.133234i \(-0.0425360\pi\)
−0.432975 + 0.901406i \(0.642536\pi\)
\(14\) 2.02807 3.40861i 0.542025 0.910989i
\(15\) −3.28869 2.04561i −0.849137 0.528173i
\(16\) −2.17902 + 3.35438i −0.544756 + 0.838595i
\(17\) 0.345387 1.06299i 0.0837686 0.257813i −0.900396 0.435072i \(-0.856723\pi\)
0.984164 + 0.177259i \(0.0567229\pi\)
\(18\) 1.86294 3.81175i 0.439100 0.898438i
\(19\) −7.11064 2.31039i −1.63129 0.530039i −0.656725 0.754130i \(-0.728059\pi\)
−0.974568 + 0.224090i \(0.928059\pi\)
\(20\) −0.447192 + 4.44972i −0.0999951 + 0.994988i
\(21\) 4.85363 0.199420i 1.05915 0.0435171i
\(22\) −2.40932 + 1.03503i −0.513670 + 0.220669i
\(23\) −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
\(27\) 5.15677 0.638502i 0.992422 0.122880i
\(28\) −2.67615 4.92967i −0.505744 0.931619i
\(29\) 3.56932 1.15974i 0.662806 0.215359i 0.0417538 0.999128i \(-0.486706\pi\)
0.621052 + 0.783769i \(0.286706\pi\)
\(30\) −4.86426 + 2.51772i −0.888089 + 0.459671i
\(31\) 8.53887 + 2.77445i 1.53363 + 0.498306i 0.949610 0.313435i \(-0.101480\pi\)
0.584018 + 0.811741i \(0.301480\pi\)
\(32\) 2.50108 + 5.07391i 0.442132 + 0.896950i
\(33\) −2.67352 1.77946i −0.465400 0.309764i
\(34\) −1.04216 1.18844i −0.178729 0.203816i
\(35\) −5.18472 3.52815i −0.876378 0.596366i
\(36\) −3.28552 5.02050i −0.547586 0.836749i
\(37\) 4.97454 + 6.84687i 0.817809 + 1.12562i 0.990071 + 0.140567i \(0.0448924\pi\)
−0.172262 + 0.985051i \(0.555108\pi\)
\(38\) −7.94980 + 6.97130i −1.28963 + 1.13089i
\(39\) 3.67939 + 4.65011i 0.589175 + 0.744613i
\(40\) 5.08464 + 3.76118i 0.803951 + 0.594695i
\(41\) 3.81439 + 5.25005i 0.595707 + 0.819921i 0.995307 0.0967691i \(-0.0308509\pi\)
−0.399600 + 0.916690i \(0.630851\pi\)
\(42\) 3.26739 6.04311i 0.504170 0.932472i
\(43\) −7.87791 −1.20137 −0.600685 0.799486i \(-0.705105\pi\)
−0.600685 + 0.799486i \(0.705105\pi\)
\(44\) −0.484300 + 3.67664i −0.0730110 + 0.554275i
\(45\) −5.83683 3.30627i −0.870103 0.492869i
\(46\) 1.17496 + 2.73507i 0.173239 + 0.403264i
\(47\) −0.999744 + 0.324837i −0.145828 + 0.0473823i −0.381021 0.924566i \(-0.624428\pi\)
0.235194 + 0.971949i \(0.424428\pi\)
\(48\) −3.53249 + 5.95999i −0.509871 + 0.860251i
\(49\) 0.865841 0.123692
\(50\) 6.97968 + 1.13318i 0.987075 + 0.160256i
\(51\) 0.522140 1.86416i 0.0731142 0.261035i
\(52\) 2.94816 6.17983i 0.408836 0.856988i
\(53\) −0.595625 1.83314i −0.0818153 0.251802i 0.901779 0.432198i \(-0.142262\pi\)
−0.983594 + 0.180396i \(0.942262\pi\)
\(54\) 2.95296 6.72904i 0.401847 0.915707i
\(55\) 1.40207 + 3.90186i 0.189055 + 0.526127i
\(56\) −7.92649 0.312264i −1.05922 0.0417280i
\(57\) −12.4699 3.49274i −1.65168 0.462624i
\(58\) 1.17154 5.17664i 0.153831 0.679726i
\(59\) −6.91365 + 5.02306i −0.900081 + 0.653947i −0.938487 0.345315i \(-0.887772\pi\)
0.0384059 + 0.999262i \(0.487772\pi\)
\(60\) −0.457511 + 7.73244i −0.0590644 + 0.998254i
\(61\) −0.730226 0.530540i −0.0934959 0.0679287i 0.540055 0.841630i \(-0.318403\pi\)
−0.633551 + 0.773701i \(0.718403\pi\)
\(62\) 9.54658 8.37154i 1.21242 1.06319i
\(63\) 8.38547 0.690230i 1.05647 0.0869608i
\(64\) 7.97521 + 0.629343i 0.996901 + 0.0786678i
\(65\) −0.235797 7.65159i −0.0292470 0.949063i
\(66\) −4.09596 + 1.96252i −0.504178 + 0.241570i
\(67\) 0.462733 1.42415i 0.0565319 0.173987i −0.918804 0.394715i \(-0.870843\pi\)
0.975335 + 0.220728i \(0.0708433\pi\)
\(68\) −2.19799 + 0.407214i −0.266545 + 0.0493820i
\(69\) −2.02005 + 3.03498i −0.243185 + 0.365369i
\(70\) −8.03715 + 3.75002i −0.960623 + 0.448213i
\(71\) −1.11003 3.41631i −0.131736 0.405442i 0.863332 0.504636i \(-0.168373\pi\)
−0.995068 + 0.0991946i \(0.968373\pi\)
\(72\) −8.47753 + 0.362659i −0.999086 + 0.0427398i
\(73\) 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
\(78\) 8.31220 1.10920i 0.941171 0.125592i
\(79\) −4.76272 + 1.54750i −0.535848 + 0.174108i −0.564425 0.825484i \(-0.690902\pi\)
0.0285776 + 0.999592i \(0.490902\pi\)
\(80\) 8.24799 3.45987i 0.922153 0.386825i
\(81\) 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 −0.0299505 0.999551i \(-0.509535\pi\)
−0.611752 + 0.791050i \(0.709535\pi\)
\(84\) −4.98183 8.34095i −0.543563 0.910072i
\(85\) −1.97572 + 1.53060i −0.214297 + 0.166017i
\(86\) −5.69668 + 9.57449i −0.614288 + 1.03244i
\(87\) 6.09457 2.26083i 0.653406 0.242387i
\(88\) 4.11823 + 3.24725i 0.439005 + 0.346158i
\(89\) −9.96050 + 13.7094i −1.05581 + 1.45320i −0.172150 + 0.985071i \(0.555071\pi\)
−0.883661 + 0.468128i \(0.844929\pi\)
\(90\) −8.23903 + 4.70302i −0.868470 + 0.495742i
\(91\) 5.64370 + 7.76789i 0.591621 + 0.814296i
\(92\) 4.17373 + 0.549778i 0.435141 + 0.0573183i
\(93\) 14.9746 + 4.19428i 1.55279 + 0.434927i
\(94\) −0.328142 + 1.44994i −0.0338453 + 0.149550i
\(95\) 10.2386 + 13.2161i 1.05046 + 1.35595i
\(96\) 4.68912 + 8.60303i 0.478581 + 0.878043i
\(97\) −16.7757 + 5.45075i −1.70331 + 0.553440i −0.989198 0.146588i \(-0.953171\pi\)
−0.714115 + 0.700028i \(0.753171\pi\)
\(98\) 0.626107 1.05231i 0.0632464 0.106299i
\(99\) −4.75330 2.88942i −0.477724 0.290397i
\(100\) 6.42437 7.66339i 0.642437 0.766339i
\(101\) 6.81866i 0.678482i 0.940700 + 0.339241i \(0.110170\pi\)
−0.940700 + 0.339241i \(0.889830\pi\)
\(102\) −1.88805 1.98260i −0.186945 0.196307i
\(103\) −4.18192 12.8706i −0.412057 1.26818i −0.914857 0.403778i \(-0.867697\pi\)
0.502800 0.864403i \(-0.332303\pi\)
\(104\) −5.37884 8.05183i −0.527439 0.789547i
\(105\) −9.22350 5.73713i −0.900122 0.559886i
\(106\) −2.65864 0.601685i −0.258230 0.0584409i
\(107\) 9.81778i 0.949120i −0.880223 0.474560i \(-0.842607\pi\)
0.880223 0.474560i \(-0.157393\pi\)
\(108\) −6.04286 8.45481i −0.581475 0.813564i
\(109\) 1.78582 1.29748i 0.171051 0.124276i −0.498966 0.866622i \(-0.666287\pi\)
0.670017 + 0.742346i \(0.266287\pi\)
\(110\) 5.75603 + 1.11749i 0.548816 + 0.106549i
\(111\) 9.09573 + 11.4954i 0.863329 + 1.09110i
\(112\) −6.11132 + 9.40772i −0.577465 + 0.888946i
\(113\) 12.5977 9.15275i 1.18509 0.861018i 0.192353 0.981326i \(-0.438388\pi\)
0.992737 + 0.120308i \(0.0383881\pi\)
\(114\) −13.2622 + 12.6297i −1.24212 + 1.18288i
\(115\) 4.42940 1.59163i 0.413043 0.148421i
\(116\) −5.44431 5.16718i −0.505491 0.479760i
\(117\) 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
\(120\) 9.06686 + 6.14752i 0.827687 + 0.561190i
\(121\) −2.33677 7.19183i −0.212433 0.653803i
\(122\) −1.17284 + 0.503842i −0.106184 + 0.0456158i
\(123\) 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
\(126\) 5.22483 10.6905i 0.465465 0.952384i
\(127\) −1.96048 1.42437i −0.173964 0.126392i 0.497396 0.867524i \(-0.334290\pi\)
−0.671360 + 0.741131i \(0.734290\pi\)
\(128\) 6.53191 9.23765i 0.577345 0.816501i
\(129\) −13.6334 + 0.560155i −1.20036 + 0.0493189i
\(130\) −9.46994 5.24644i −0.830569 0.460143i
\(131\) 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
\(134\) −1.39624 1.59222i −0.120617 0.137546i
\(135\) −10.3363 5.30677i −0.889603 0.456734i
\(136\) −1.09450 + 2.96581i −0.0938523 + 0.254316i
\(137\) −2.61762 + 1.90181i −0.223638 + 0.162483i −0.693963 0.720011i \(-0.744137\pi\)
0.470325 + 0.882494i \(0.344137\pi\)
\(138\) 2.22786 + 4.64974i 0.189648 + 0.395812i
\(139\) 4.14436 5.70423i 0.351520 0.483826i −0.596241 0.802805i \(-0.703340\pi\)
0.947762 + 0.318979i \(0.103340\pi\)
\(140\) −1.25420 + 12.4797i −0.105999 + 1.05473i
\(141\) −1.70705 + 0.633245i −0.143760 + 0.0533289i
\(142\) −4.95473 1.12132i −0.415792 0.0940993i
\(143\) 6.34789i 0.530838i
\(144\) −5.68951 + 10.5655i −0.474126 + 0.880457i
\(145\) −8.05733 2.34619i −0.669125 0.194841i
\(146\) −7.07920 16.4789i −0.585879 1.36380i
\(147\) 1.49842 0.0615652i 0.123587 0.00507781i
\(148\) 7.28806 15.2770i 0.599075 1.25576i
\(149\) 20.1075i 1.64727i 0.567122 + 0.823634i \(0.308057\pi\)
−0.567122 + 0.823634i \(0.691943\pi\)
\(150\) 12.1595 + 1.46479i 0.992822 + 0.119600i
\(151\) 7.94771i 0.646776i −0.946267 0.323388i \(-0.895178\pi\)
0.946267 0.323388i \(-0.104822\pi\)
\(152\) 19.8391 + 7.32139i 1.60916 + 0.593844i
\(153\) 0.771060 3.26323i 0.0623365 0.263816i
\(154\) −6.75722 + 2.90285i −0.544512 + 0.233918i
\(155\) −12.2951 15.8707i −0.987568 1.27477i
\(156\) 4.66264 10.9044i 0.373310 0.873050i
\(157\) 21.0927i 1.68338i −0.539959 0.841691i \(-0.681560\pi\)
0.539959 0.841691i \(-0.318440\pi\)
\(158\) −1.56325 + 6.90744i −0.124365 + 0.549527i
\(159\) −1.16113 3.13007i −0.0920834 0.248231i
\(160\) 1.75930 12.5262i 0.139085 0.990280i
\(161\) −3.46993 + 4.77595i −0.273469 + 0.376398i
\(162\) 4.63189 11.8552i 0.363916 0.931432i
\(163\) −4.21409 + 3.06171i −0.330073 + 0.239812i −0.740461 0.672099i \(-0.765393\pi\)
0.410389 + 0.911911i \(0.365393\pi\)
\(164\) 5.58835 11.7141i 0.436377 0.914720i
\(165\) 2.70385 + 6.65283i 0.210495 + 0.517922i
\(166\) −6.53612 + 5.73162i −0.507301 + 0.444860i
\(167\) −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
\(170\) 0.431545 + 3.50802i 0.0330980 + 0.269053i
\(171\) −21.8286 5.15783i −1.66928 0.394429i
\(172\) 7.51706 + 13.8470i 0.573171 + 1.05582i
\(173\) −13.1367 9.54436i −0.998764 0.725644i −0.0369410 0.999317i \(-0.511761\pi\)
−0.961823 + 0.273673i \(0.911761\pi\)
\(174\) 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
\(177\) −11.6075 + 9.18446i −0.872476 + 0.690346i
\(178\) 9.45926 + 22.0192i 0.709002 + 1.65041i
\(179\) −2.97647 9.16063i −0.222472 0.684697i −0.998538 0.0540466i \(-0.982788\pi\)
0.776067 0.630651i \(-0.217212\pi\)
\(180\) −0.241952 + 13.4142i −0.0180340 + 0.999837i
\(181\) −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
\(184\) 3.68629 4.67502i 0.271757 0.344647i
\(185\) −0.582908 18.9153i −0.0428563 1.39068i
\(186\) 15.9260 15.1665i 1.16775 1.11206i
\(187\) −1.67663 + 1.21814i −0.122607 + 0.0890795i
\(188\) 1.52492 + 1.44729i 0.111216 + 0.105555i
\(189\) 14.4627 1.79075i 1.05201 0.130258i
\(190\) 23.4661 2.88673i 1.70241 0.209425i
\(191\) −16.3988 + 11.9144i −1.18657 + 0.862096i −0.992898 0.118970i \(-0.962041\pi\)
−0.193675 + 0.981066i \(0.562041\pi\)
\(192\) 13.8466 + 0.522062i 0.999290 + 0.0376766i
\(193\) 7.83027i 0.563635i 0.959468 + 0.281818i \(0.0909373\pi\)
−0.959468 + 0.281818i \(0.909063\pi\)
\(194\) −5.50622 + 24.3300i −0.395323 + 1.74679i
\(195\) −0.952131 13.2250i −0.0681835 0.947062i
\(196\) −0.826181 1.52189i −0.0590129 0.108706i
\(197\) 4.59514 + 14.1424i 0.327390 + 1.00760i 0.970350 + 0.241703i \(0.0777060\pi\)
−0.642960 + 0.765900i \(0.722294\pi\)
\(198\) −6.94888 + 3.68756i −0.493836 + 0.262064i
\(199\) 14.5552i 1.03179i 0.856652 + 0.515894i \(0.172540\pi\)
−0.856652 + 0.515894i \(0.827460\pi\)
\(200\) −4.66817 13.3495i −0.330090 0.943950i
\(201\) 0.699539 2.49752i 0.0493417 0.176161i
\(202\) 8.28711 + 4.93071i 0.583079 + 0.346923i
\(203\) 10.0106 3.25263i 0.702603 0.228290i
\(204\) −3.77486 + 0.861007i −0.264293 + 0.0602826i
\(205\) −0.446963 14.5039i −0.0312173 1.01300i
\(206\) −18.6665 4.22448i −1.30055 0.294333i
\(207\) −3.28007 + 5.39595i −0.227981 + 0.375044i
\(208\) −13.6754 + 0.714784i −0.948219 + 0.0495613i
\(209\) 8.14851 + 11.2155i 0.563644 + 0.775790i
\(210\) −13.6424 + 7.06123i −0.941413 + 0.487271i
\(211\) 5.00382 6.88717i 0.344477 0.474132i −0.601265 0.799049i \(-0.705337\pi\)
0.945742 + 0.324917i \(0.105337\pi\)
\(212\) −2.65378 + 2.79611i −0.182262 + 0.192037i
\(213\) −2.16392 5.83331i −0.148269 0.399692i
\(214\) −11.9321 7.09943i −0.815663 0.485307i
\(215\) 14.5634 + 9.91028i 0.993219 + 0.675875i
\(216\) −14.6453 + 1.23041i −0.996489 + 0.0837185i
\(217\) 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
\(220\) 5.52045 6.18756i 0.372189 0.417165i
\(221\) 3.63917 1.18244i 0.244797 0.0795394i
\(222\) 20.5484 2.74202i 1.37912 0.184032i
\(223\) −1.64427 1.19463i −0.110109 0.0799987i 0.531368 0.847141i \(-0.321678\pi\)
−0.641477 + 0.767142i \(0.721678\pi\)
\(224\) 7.01455 + 14.2304i 0.468679 + 0.950806i
\(225\) 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 \(0.528014\pi\)
−0.920215 + 0.391413i \(0.871986\pi\)
\(228\) 5.75952 + 25.2511i 0.381434 + 1.67229i
\(229\) −0.894624 2.75337i −0.0591184 0.181948i 0.917136 0.398574i \(-0.130495\pi\)
−0.976255 + 0.216626i \(0.930495\pi\)
\(230\) 1.26858 6.53425i 0.0836475 0.430856i
\(231\) −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 \(-0.107993\pi\)
\(234\) 14.3061 2.51060i 0.935222 0.164123i
\(235\) 2.25681 + 0.657154i 0.147218 + 0.0428680i
\(236\) 15.4260 + 7.35915i 1.00415 + 0.479040i
\(237\) −8.13228 + 3.01674i −0.528249 + 0.195958i
\(238\) −2.92285 3.33311i −0.189460 0.216053i
\(239\) 7.59666 + 5.51929i 0.491387 + 0.357013i 0.805717 0.592300i \(-0.201780\pi\)
−0.314331 + 0.949314i \(0.601780\pi\)
\(240\) 14.0279 6.57409i 0.905496 0.424356i
\(241\) 16.9165 12.2905i 1.08969 0.791704i 0.110340 0.993894i \(-0.464806\pi\)
0.979346 + 0.202190i \(0.0648059\pi\)
\(242\) −10.4304 2.36055i −0.670493 0.151742i
\(243\) 15.2610 3.17816i 0.978996 0.203879i
\(244\) −0.235753 + 1.78976i −0.0150925 + 0.114578i
\(245\) −1.60063 1.08921i −0.102261 0.0695873i
\(246\) 15.7561 2.10253i 1.00457 0.134053i
\(247\) −7.90966 24.3434i −0.503280 1.54894i
\(248\) −23.8240 8.79196i −1.51282 0.558290i
\(249\) −10.2524 2.87164i −0.649721 0.181983i
\(250\) −11.4774 10.8752i −0.725895 0.687806i
\(251\) 8.22153 0.518938 0.259469 0.965751i \(-0.416452\pi\)
0.259469 + 0.965751i \(0.416452\pi\)
\(252\) −9.21459 14.0805i −0.580465 0.886991i
\(253\) 3.71187 1.20606i 0.233363 0.0758244i
\(254\) −3.14878 + 1.35269i −0.197572 + 0.0848755i
\(255\) −3.31033 + 2.78932i −0.207301 + 0.174674i
\(256\) −6.50371 14.6185i −0.406482 0.913659i
\(257\) −11.5351 −0.719538 −0.359769 0.933041i \(-0.617145\pi\)
−0.359769 + 0.933041i \(0.617145\pi\)
\(258\) −9.17783 + 16.9746i −0.571386 + 1.05679i
\(259\) 13.9516 + 19.2028i 0.866913 + 1.19320i
\(260\) −13.2242 + 7.71557i −0.820131 + 0.478499i
\(261\) 10.3864 4.34593i 0.642905 0.269006i
\(262\) −3.86148 4.40349i −0.238563 0.272048i
\(263\) 10.6114 + 14.6054i 0.654330 + 0.900608i 0.999277 0.0380143i \(-0.0121033\pi\)
−0.344947 + 0.938622i \(0.612103\pi\)
\(264\) 7.35787 + 5.32684i 0.452846 + 0.327844i
\(265\) −1.20497 + 4.13811i −0.0740205 + 0.254202i
\(266\) −22.2961 + 19.5518i −1.36706 + 1.19880i
\(267\) −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 \(0.529752\pi\)
\(270\) −13.9240 + 8.72483i −0.847387 + 0.530976i
\(271\) 9.40434 3.05565i 0.571273 0.185618i −0.00911443 0.999958i \(-0.502901\pi\)
0.580387 + 0.814341i \(0.302901\pi\)
\(272\) 2.81307 + 3.47484i 0.170567 + 0.210693i
\(273\) 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
\(276\) 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 \(0.167901\pi\)
\(278\) −3.93581 9.16173i −0.236054 0.549484i
\(279\) 26.2131 + 6.19383i 1.56934 + 0.370815i
\(280\) 14.2604 + 10.5486i 0.852223 + 0.630402i
\(281\) 12.3397 + 4.00940i 0.736122 + 0.239181i 0.652999 0.757359i \(-0.273510\pi\)
0.0831232 + 0.996539i \(0.473510\pi\)
\(282\) −0.464782 + 2.53259i −0.0276774 + 0.150814i
\(283\) 0.0785686 0.241809i 0.00467042 0.0143741i −0.948694 0.316195i \(-0.897595\pi\)
0.953365 + 0.301821i \(0.0975945\pi\)
\(284\) −4.94567 + 5.21092i −0.293472 + 0.309211i
\(285\) 18.6586 + 22.1437i 1.10524 + 1.31168i
\(286\) −7.71497 4.59029i −0.456196 0.271429i
\(287\) 10.6979 + 14.7244i 0.631475 + 0.869151i
\(288\) 8.72666 + 14.5549i 0.514223 + 0.857656i
\(289\) 12.7426 + 9.25806i 0.749567 + 0.544592i
\(290\) −8.67788 + 8.09597i −0.509583 + 0.475412i
\(291\) −28.6443 + 10.6258i −1.67916 + 0.622898i
\(292\) −25.1469 3.31243i −1.47161 0.193845i
\(293\) −10.3849 −0.606691 −0.303345 0.952881i \(-0.598104\pi\)
−0.303345 + 0.952881i \(0.598104\pi\)
\(294\) 1.00871 1.86563i 0.0588292 0.108806i
\(295\) 19.0998 0.588594i 1.11203 0.0342693i
\(296\) −13.2969 19.9047i −0.772866 1.15694i
\(297\) −8.43146 4.66242i −0.489243 0.270541i
\(298\) 24.4378 + 14.5401i 1.41564 + 0.842286i
\(299\) −7.20614 −0.416742
\(300\) 10.5731 13.7190i 0.610435 0.792066i
\(301\) −22.0945 −1.27350
\(302\) −9.65932 5.74715i −0.555832 0.330711i
\(303\) 0.484837 + 11.8003i 0.0278532 + 0.677910i
\(304\) 23.2442 18.8174i 1.33315 1.07925i
\(305\) 0.682517 + 1.89939i 0.0390808 + 0.108759i
\(306\) −3.40842 3.29682i −0.194847 0.188467i
\(307\) −17.0538 −0.973314 −0.486657 0.873593i \(-0.661784\pi\)
−0.486657 + 0.873593i \(0.661784\pi\)
\(308\) −1.35827 + 10.3116i −0.0773948 + 0.587555i
\(309\) −8.15236 21.9764i −0.463771 1.25020i
\(310\) −28.1795 + 3.46655i −1.60049 + 0.196887i
\(311\) 19.8576 + 14.4274i 1.12602 + 0.818102i 0.985111 0.171920i \(-0.0549970\pi\)
0.140910 + 0.990022i \(0.454997\pi\)
\(312\) −9.88109 13.5520i −0.559407 0.767229i
\(313\) 5.67018 + 7.80433i 0.320497 + 0.441127i 0.938619 0.344956i \(-0.112106\pi\)
−0.618122 + 0.786083i \(0.712106\pi\)
\(314\) −25.6352 15.2526i −1.44668 0.860752i
\(315\) −16.3700 9.27279i −0.922347 0.522463i
\(316\) 7.26461 + 6.89482i 0.408666 + 0.387864i
\(317\) 5.41442 16.6639i 0.304104 0.935936i −0.675906 0.736988i \(-0.736247\pi\)
0.980010 0.198948i \(-0.0637525\pi\)
\(318\) −4.64379 0.852230i −0.260411 0.0477907i
\(319\) −6.61824 2.15040i −0.370550 0.120399i
\(320\) −13.9516 11.1961i −0.779919 0.625881i
\(321\) −0.698088 16.9906i −0.0389635 0.948320i
\(322\) 3.29532 + 7.67080i 0.183641 + 0.427477i
\(323\) −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
\(327\) 2.99827 2.37238i 0.165805 0.131193i
\(328\) −10.1958 15.2626i −0.562970 0.842735i
\(329\) −2.80389 + 0.911040i −0.154584 + 0.0502273i
\(330\) 10.0408 + 1.52464i 0.552727 + 0.0839287i
\(331\) −24.1449 7.84515i −1.32712 0.431208i −0.442188 0.896922i \(-0.645798\pi\)
−0.884935 + 0.465714i \(0.845798\pi\)
\(332\) 2.23958 + 12.0884i 0.122913 + 0.663436i
\(333\) 16.5584 + 19.2471i 0.907393 + 1.05473i
\(334\) −5.60884 + 4.91848i −0.306902 + 0.269127i
\(335\) −2.64698 + 2.05063i −0.144620 + 0.112038i
\(336\) −9.90725 + 16.7155i −0.540485 + 0.911903i
\(337\) 6.24918 + 8.60126i 0.340415 + 0.468540i 0.944562 0.328332i \(-0.106486\pi\)
−0.604148 + 0.796872i \(0.706486\pi\)
\(338\) −1.19304 1.36050i −0.0648930 0.0740015i
\(339\) 21.1506 16.7354i 1.14874 0.908943i
\(340\) 4.57556 + 2.01224i 0.248145 + 0.109129i
\(341\) −9.78520 13.4682i −0.529898 0.729343i
\(342\) −22.0533 + 22.7999i −1.19251 + 1.23288i
\(343\) −17.2039 −0.928925
\(344\) 22.2648 + 0.877122i 1.20044 + 0.0472913i
\(345\) 7.55230 3.06942i 0.406602 0.165252i
\(346\) −21.0992 + 9.06407i −1.13430 + 0.487287i
\(347\) 30.8425 10.0213i 1.65571 0.537974i 0.675746 0.737135i \(-0.263822\pi\)
0.979967 + 0.199161i \(0.0638217\pi\)
\(348\) −9.78927 8.55515i −0.524760 0.458604i
\(349\) −3.26785 −0.174924 −0.0874621 0.996168i \(-0.527876\pi\)
−0.0874621 + 0.996168i \(0.527876\pi\)
\(350\) 19.5753 + 3.17814i 1.04634 + 0.169879i
\(351\) 12.1454 + 12.9978i 0.648273 + 0.693771i
\(352\) 1.77810 10.3371i 0.0947731 0.550971i
\(353\) 5.15615 + 15.8690i 0.274434 + 0.844621i 0.989369 + 0.145430i \(0.0464565\pi\)
−0.714935 + 0.699191i \(0.753544\pi\)
\(354\) 2.76877 + 20.7488i 0.147158 + 1.10279i
\(355\) −2.24562 + 7.71193i −0.119185 + 0.409307i
\(356\) 33.6014 + 4.42609i 1.78087 + 0.234582i
\(357\) 1.46440 5.22825i 0.0775042 0.276708i
\(358\) −13.2858 3.00676i −0.702176 0.158912i
\(359\) 7.34053 5.33320i 0.387418 0.281476i −0.376979 0.926222i \(-0.623037\pi\)
0.764397 + 0.644746i \(0.223037\pi\)
\(360\) 16.1281 + 9.99415i 0.850028 + 0.526738i
\(361\) 29.8520 + 21.6888i 1.57116 + 1.14151i
\(362\) 11.0261 + 12.5737i 0.579517 + 0.660859i
\(363\) −4.55536 12.2800i −0.239094 0.644531i
\(364\) 8.26843 17.3320i 0.433384 0.908445i
\(365\) −26.6873 + 9.58965i −1.39687 + 0.501945i
\(366\) −1.99388 + 0.955339i −0.104222 + 0.0499364i
\(367\) 3.80297 11.7043i 0.198513 0.610961i −0.801404 0.598123i \(-0.795913\pi\)
0.999918 0.0128379i \(-0.00408653\pi\)
\(368\) −3.01621 7.86076i −0.157231 0.409771i
\(369\) 12.6967 + 14.7583i 0.660962 + 0.768288i
\(370\) −23.4104 12.9696i −1.21705 0.674257i
\(371\) −1.67050 5.14126i −0.0867278 0.266921i
\(372\) −6.91637 30.3230i −0.358597 1.57217i
\(373\) −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
\(378\) 8.28189 18.8724i 0.425975 0.970689i
\(379\) 6.13362 1.99293i 0.315063 0.102370i −0.147217 0.989104i \(-0.547032\pi\)
0.462280 + 0.886734i \(0.347032\pi\)
\(380\) 13.4604 30.6072i 0.690504 1.57012i
\(381\) −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 −0.0650064 0.997885i \(-0.520707\pi\)
−0.639133 + 0.769096i \(0.720707\pi\)
\(384\) 10.6472 16.4510i 0.543339 0.839513i
\(385\) 3.93227 + 10.9432i 0.200407 + 0.557717i
\(386\) 9.51659 + 5.66223i 0.484382 + 0.288200i
\(387\) −23.5541 + 1.93880i −1.19732 + 0.0985546i
\(388\) 25.5881 + 24.2856i 1.29904 + 1.23291i
\(389\) 12.9514 17.8261i 0.656663 0.903819i −0.342702 0.939444i \(-0.611342\pi\)
0.999365 + 0.0356248i \(0.0113421\pi\)
\(390\) −16.7616 8.40608i −0.848758 0.425659i
\(391\) 1.38284 + 1.90331i 0.0699332 + 0.0962548i
\(392\) −2.44707 0.0964023i −0.123596 0.00486905i
\(393\) 1.93467 6.90722i 0.0975911 0.348423i
\(394\) 20.5109 + 4.64190i 1.03332 + 0.233855i
\(395\) 10.7513 + 3.13064i 0.540956 + 0.157520i
\(396\) −0.543162 + 11.1119i −0.0272949 + 0.558396i
\(397\) −17.5994 + 5.71840i −0.883290 + 0.286998i −0.715323 0.698794i \(-0.753720\pi\)
−0.167967 + 0.985793i \(0.553720\pi\)
\(398\) 17.6898 + 10.5251i 0.886707 + 0.527577i
\(399\) −34.9732 9.79577i −1.75085 0.490402i
\(400\) −19.6000 3.97976i −0.980002 0.198988i
\(401\) 17.2591i 0.861877i 0.902381 + 0.430939i \(0.141817\pi\)
−0.902381 + 0.430939i \(0.858183\pi\)
\(402\) −2.52953 2.65620i −0.126161 0.132479i
\(403\) 9.49838 + 29.2330i 0.473148 + 1.45620i
\(404\) 11.9852 6.50633i 0.596284 0.323702i
\(405\) −18.2652 8.44889i −0.907603 0.419829i
\(406\) 3.28572 14.5185i 0.163068 0.720539i
\(407\) 15.6925i 0.777846i
\(408\) −1.68324 + 5.21042i −0.0833330 + 0.257954i
\(409\) −5.74671 + 4.17523i −0.284156 + 0.206452i −0.720728 0.693218i \(-0.756192\pi\)
0.436572 + 0.899669i \(0.356192\pi\)
\(410\) −17.9507 9.94484i −0.886520 0.491141i
\(411\) −4.39480 + 3.47738i −0.216780 + 0.171527i
\(412\) −18.6324 + 19.6317i −0.917950 + 0.967183i
\(413\) −19.3901 + 14.0877i −0.954125 + 0.693212i
\(414\) 4.18613 + 7.88838i 0.205737 + 0.387693i
\(415\) 8.41792 + 10.8660i 0.413220 + 0.533390i
\(416\) −9.02024 + 17.1374i −0.442254 + 0.840231i
\(417\) 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 −0.933572 0.358390i \(-0.883326\pi\)
0.965932 + 0.258797i \(0.0833260\pi\)
\(420\) −1.28314 + 21.6865i −0.0626108 + 1.05819i
\(421\) −4.44421 13.6779i −0.216597 0.666618i −0.999036 0.0438909i \(-0.986025\pi\)
0.782439 0.622727i \(-0.213975\pi\)
\(422\) −4.75202 11.0617i −0.231325 0.538474i
\(423\) −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
\(426\) −8.65434 1.58825i −0.419304 0.0769508i
\(427\) −2.04800 1.48796i −0.0991097 0.0720074i
\(428\) −17.2567 + 9.36807i −0.834135 + 0.452823i
\(429\) −0.451364 10.9856i −0.0217920 0.530390i
\(430\) 22.5757 10.5335i 1.08870 0.507970i
\(431\) 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 \(0.618671\pi\)
\(434\) 26.7744 23.4789i 1.28521 1.12702i
\(435\) −14.1108 3.48739i −0.676560 0.167207i
\(436\) −3.98460 1.90090i −0.190828 0.0910365i
\(437\) 12.7318 9.25020i 0.609045 0.442497i
\(438\) −13.4229 28.0148i −0.641372 1.33860i
\(439\) −19.5188 + 26.8653i −0.931579 + 1.28221i 0.0276608 + 0.999617i \(0.491194\pi\)
−0.959240 + 0.282592i \(0.908806\pi\)
\(440\) −3.52816 11.1837i −0.168198 0.533161i
\(441\) 2.58877 0.213088i 0.123275 0.0101471i
\(442\) 1.19447 5.27794i 0.0568152 0.251046i
\(443\) 25.0316i 1.18929i −0.803990 0.594643i \(-0.797293\pi\)
0.803990 0.594643i \(-0.202707\pi\)
\(444\) 11.5264 26.9564i 0.547018 1.27930i
\(445\) 35.6596 12.8137i 1.69043 0.607429i
\(446\) −2.64092 + 1.13452i −0.125051 + 0.0537210i
\(447\) 1.42973 + 34.7978i 0.0676239 + 1.64588i
\(448\) 22.3674 + 1.76506i 1.05676 + 0.0833913i
\(449\) 32.0071i 1.51051i −0.655433 0.755253i \(-0.727514\pi\)
0.655433 0.755253i \(-0.272486\pi\)
\(450\) 21.1473 + 1.67036i 0.996895 + 0.0787413i
\(451\) 12.0327i 0.566598i
\(452\) −28.1084 13.4094i −1.32211 0.630727i
\(453\) −0.565118 13.7542i −0.0265515 0.646230i
\(454\) 14.4244 + 33.5769i 0.676969 + 1.57584i
\(455\) −0.661319 21.4597i −0.0310031 1.00605i
\(456\) 34.8540 + 11.2597i 1.63219 + 0.527283i
\(457\) 27.8514i 1.30283i −0.758721 0.651416i \(-0.774175\pi\)
0.758721 0.651416i \(-0.225825\pi\)
\(458\) −3.99325 0.903728i −0.186593 0.0422284i
\(459\) 1.10236 5.70213i 0.0514537 0.266153i
\(460\) −7.02412 6.26682i −0.327501 0.292192i
\(461\) −2.72769 + 3.75434i −0.127041 + 0.174857i −0.867800 0.496914i \(-0.834466\pi\)
0.740758 + 0.671771i \(0.234466\pi\)
\(462\) −11.4876 + 5.50411i −0.534450 + 0.256074i
\(463\) −12.0343 + 8.74343i −0.559281 + 0.406341i −0.831196 0.555980i \(-0.812343\pi\)
0.271915 + 0.962321i \(0.412343\pi\)
\(464\) −3.88742 + 14.5000i −0.180469 + 0.673143i
\(465\) −22.4063 26.5915i −1.03907 1.23315i
\(466\) −17.3045 19.7334i −0.801617 0.914133i
\(467\) −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
\(470\) 2.43062 2.26763i 0.112116 0.104598i
\(471\) −1.49979 36.5029i −0.0691065 1.68196i
\(472\) 20.0989 13.4266i 0.925126 0.618009i
\(473\) 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
\(477\) −2.23200 5.33431i −0.102196 0.244241i
\(478\) 12.2012 5.24155i 0.558071 0.239743i
\(479\) 5.73304 + 17.6445i 0.261949 + 0.806197i 0.992381 + 0.123211i \(0.0393191\pi\)
−0.730431 + 0.682986i \(0.760681\pi\)
\(480\) 2.15396 21.8028i 0.0983143 0.995155i
\(481\) −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
\(484\) −10.4114 + 10.9697i −0.473243 + 0.498625i
\(485\) 37.8692 + 11.0270i 1.71955 + 0.500712i
\(486\) 7.17296 20.8458i 0.325372 0.945586i
\(487\) 15.6066 11.3389i 0.707203 0.513813i −0.175067 0.984556i \(-0.556014\pi\)
0.882270 + 0.470744i \(0.156014\pi\)
\(488\) 2.00472 + 1.58073i 0.0907494 + 0.0715565i
\(489\) −7.07516 + 5.59821i −0.319950 + 0.253160i
\(490\) −2.48123 + 1.15771i −0.112091 + 0.0523000i
\(491\) 4.69454 3.41078i 0.211862 0.153926i −0.476794 0.879015i \(-0.658201\pi\)
0.688656 + 0.725089i \(0.258201\pi\)
\(492\) 8.83823 20.6697i 0.398458 0.931863i
\(493\) 4.19471i 0.188920i
\(494\) −35.3056 7.99015i −1.58848 0.359494i
\(495\) 5.15231 + 11.3211i 0.231579 + 0.508844i
\(496\) −27.9130 + 22.5970i −1.25333 + 1.01464i
\(497\) −3.11319 9.58142i −0.139646 0.429786i
\(498\) −10.9038 + 10.3838i −0.488611 + 0.465311i
\(499\) 20.7222i 0.927654i 0.885926 + 0.463827i \(0.153524\pi\)
−0.885926 + 0.463827i \(0.846476\pi\)
\(500\) −21.5168 + 6.08512i −0.962259 + 0.272135i
\(501\) −8.79792 2.46424i −0.393062 0.110094i
\(502\) 5.94515 9.99211i 0.265345 0.445970i
\(503\) 33.8991 11.0145i 1.51149 0.491111i 0.568142 0.822931i \(-0.307662\pi\)
0.943343 + 0.331819i \(0.107662\pi\)
\(504\) −23.7762 + 1.01712i −1.05907 + 0.0453061i
\(505\) 8.57775 12.6053i 0.381705 0.560927i
\(506\) 1.21833 5.38338i 0.0541615 0.239321i
\(507\) 0.597735 2.13405i 0.0265463 0.0947767i
\(508\) −0.632939 + 4.80506i −0.0280821 + 0.213190i
\(509\) 2.25059 + 3.09767i 0.0997557 + 0.137302i 0.855977 0.517014i \(-0.172957\pi\)
−0.756221 + 0.654316i \(0.772957\pi\)
\(510\) 0.996264 + 6.04026i 0.0441153 + 0.267467i
\(511\) 20.9065 28.7753i 0.924847 1.27294i
\(512\) −22.4697 2.66663i −0.993031 0.117849i
\(513\) −38.1432 7.37399i −1.68406 0.325570i
\(514\) −8.34125 + 14.0193i −0.367917 + 0.618363i
\(515\) −8.46015 + 29.0540i −0.372799 + 1.28027i
\(516\) 13.9935 + 23.4290i 0.616031 + 1.03140i
\(517\) 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
\(520\) −0.185505 + 21.6514i −0.00813494 + 0.949479i
\(521\) −27.7287 + 9.00962i −1.21482 + 0.394718i −0.845192 0.534462i \(-0.820514\pi\)
−0.369626 + 0.929181i \(0.620514\pi\)
\(522\) 2.22878 15.7659i 0.0975513 0.690054i
\(523\) −5.18001 3.76350i −0.226506 0.164566i 0.468744 0.883334i \(-0.344707\pi\)
−0.695250 + 0.718768i \(0.744707\pi\)
\(524\) −8.14413 + 1.50884i −0.355778 + 0.0659139i
\(525\) 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
\(528\) 11.7946 5.09051i 0.513296 0.221536i
\(529\) 5.73827 + 17.6606i 0.249490 + 0.767851i
\(530\) 4.15796 + 4.45682i 0.180610 + 0.193592i
\(531\) −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
\(534\) 17.9358 + 37.4335i 0.776157 + 1.61991i
\(535\) −12.3506 + 18.1496i −0.533963 + 0.784674i
\(536\) −1.46636 + 3.97345i −0.0633369 + 0.171627i
\(537\) −5.80241 15.6417i −0.250392 0.674987i
\(538\) 7.63504 6.69528i 0.329170 0.288654i
\(539\) −1.29883 0.943656i −0.0559446 0.0406461i
\(540\) 0.535091 + 23.2317i 0.0230267 + 0.999735i
\(541\) 18.7149 13.5972i 0.804617 0.584589i −0.107648 0.994189i \(-0.534332\pi\)
0.912265 + 0.409600i \(0.134332\pi\)
\(542\) 3.08675 13.6392i 0.132587 0.585856i
\(543\) −5.52424 + 19.7228i −0.237068 + 0.846388i
\(544\) 6.25736 0.906160i 0.268282 0.0388513i
\(545\) −4.93355 + 0.152036i −0.211330 + 0.00651252i
\(546\) 23.3125 3.11087i 0.997682 0.133133i
\(547\) −1.11144 3.42065i −0.0475216 0.146256i 0.924480 0.381230i \(-0.124500\pi\)
−0.972002 + 0.234974i \(0.924500\pi\)
\(548\) 5.84054 + 2.78629i 0.249495 + 0.119025i
\(549\) −2.31386 1.40654i −0.0987533 0.0600298i
\(550\) −9.23505 9.30682i −0.393784 0.396844i
\(551\) −28.0596 −1.19538
\(552\) 6.04704 8.35266i 0.257379 0.355513i
\(553\) −13.3576 + 4.34014i −0.568022 + 0.184561i
\(554\) −1.87056 4.35427i −0.0794726 0.184995i
\(555\) −2.35374 32.6932i −0.0999106 1.38775i
\(556\) −13.9809 1.84161i −0.592921 0.0781016i
\(557\) 28.3445 1.20100 0.600498 0.799626i \(-0.294969\pi\)
0.600498 + 0.799626i \(0.294969\pi\)
\(558\) 26.4829 27.3794i 1.12111 1.15906i
\(559\) −15.8527 21.8193i −0.670497 0.922860i
\(560\) 23.1324 9.70359i 0.977522 0.410052i
\(561\) −2.81495 + 2.22733i −0.118847 + 0.0940378i
\(562\) 13.7959 12.0978i 0.581946 0.510317i
\(563\) 18.1788 + 25.0210i 0.766146 + 1.05451i 0.996678 + 0.0814444i \(0.0259533\pi\)
−0.230532 + 0.973065i \(0.574047\pi\)
\(564\) 2.74191 + 2.39624i 0.115455 + 0.100900i
\(565\) −34.8026 + 1.07250i −1.46416 + 0.0451206i
\(566\) −0.237071 0.270346i −0.00996482 0.0113635i
\(567\) 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 \(0.860751\pi\)
\(570\) 40.4050 6.66429i 1.69238 0.279136i
\(571\) 18.3366 5.95791i 0.767361 0.249331i 0.100926 0.994894i \(-0.467819\pi\)
0.666435 + 0.745563i \(0.267819\pi\)
\(572\) −11.1577 + 6.05713i −0.466527 + 0.253261i
\(573\) −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
\(576\) 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 \(0.952054\pi\)
\(578\) 20.4663 8.79218i 0.851287 0.365706i
\(579\) 0.556767 + 13.5510i 0.0231385 + 0.563160i
\(580\) 3.56436 + 16.4011i 0.148002 + 0.681019i
\(581\) −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
\(584\) −22.2100 + 28.1672i −0.919056 + 1.16557i
\(585\) −2.58811 22.8194i −0.107005 0.943465i
\(586\) −7.50951 + 12.6213i −0.310215 + 0.521383i
\(587\) 11.2432 + 15.4749i 0.464057 + 0.638719i 0.975344 0.220691i \(-0.0708312\pi\)
−0.511287 + 0.859410i \(0.670831\pi\)
\(588\) −1.53799 2.57502i −0.0634258 0.106192i
\(589\) −54.3068 39.4562i −2.23767 1.62577i
\(590\) 13.0961 23.6387i 0.539158 0.973191i
\(591\) 8.95789 + 24.1479i 0.368478 + 0.993313i
\(592\) −33.8066 + 1.76700i −1.38944 + 0.0726232i
\(593\) −8.54639 −0.350958 −0.175479 0.984483i \(-0.556147\pi\)
−0.175479 + 0.984483i \(0.556147\pi\)
\(594\) −11.7635 + 6.87576i −0.482661 + 0.282116i
\(595\) −5.54113 + 4.29274i −0.227164 + 0.175985i
\(596\) 35.3429 19.1864i 1.44770 0.785907i
\(597\) 1.03494 + 25.1890i 0.0423572 + 1.03092i
\(598\) −5.21090 + 8.75804i −0.213090 + 0.358143i
\(599\) 34.9700 1.42884 0.714419 0.699719i \(-0.246691\pi\)
0.714419 + 0.699719i \(0.246691\pi\)
\(600\) −9.02791 22.7705i −0.368563 0.929603i
\(601\) −25.6951 −1.04813 −0.524063 0.851679i \(-0.675585\pi\)
−0.524063 + 0.851679i \(0.675585\pi\)
\(602\) −15.9770 + 26.8527i −0.651172 + 1.09444i
\(603\) 1.03303 4.37192i 0.0420683 0.178038i
\(604\) −13.9697 + 7.58366i −0.568419 + 0.308575i
\(605\) −4.72735 + 16.2347i −0.192194 + 0.660036i
\(606\) 14.6922 + 7.94378i 0.596830 + 0.322694i
\(607\) 33.7114 1.36830 0.684152 0.729340i \(-0.260173\pi\)
0.684152 + 0.729340i \(0.260173\pi\)
\(608\) −6.06156 41.8573i −0.245829 1.69754i
\(609\) 17.0929 6.34076i 0.692639 0.256940i
\(610\) 2.80198 + 0.543985i 0.113449 + 0.0220253i
\(611\) −2.91147 2.11531i −0.117786 0.0855763i
\(612\) −6.47152 + 1.75846i −0.261596 + 0.0710816i
\(613\) 13.7296 + 18.8972i 0.554535 + 0.763252i 0.990619 0.136654i \(-0.0436349\pi\)
−0.436084 + 0.899906i \(0.643635\pi\)
\(614\) −12.3320 + 20.7265i −0.497678 + 0.836455i
\(615\) −1.80480 25.0685i −0.0727767 1.01086i
\(616\) 11.5500 + 9.10728i 0.465364 + 0.366943i
\(617\) −2.44863 + 7.53611i −0.0985782 + 0.303392i −0.988170 0.153365i \(-0.950989\pi\)
0.889591 + 0.456757i \(0.150989\pi\)
\(618\) −32.6044 5.98357i −1.31154 0.240695i
\(619\) 17.1069 + 5.55838i 0.687586 + 0.223410i 0.631913 0.775039i \(-0.282270\pi\)
0.0556723 + 0.998449i \(0.482270\pi\)
\(620\) −16.1640 + 36.7549i −0.649163 + 1.47611i
\(621\) −5.29278 + 9.57140i −0.212392 + 0.384087i
\(622\) 31.8939 13.7014i 1.27883 0.549375i
\(623\) −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
\(627\) 14.8992 + 18.8300i 0.595017 + 0.751997i
\(628\) −37.0747 + 20.1266i −1.47944 + 0.803137i
\(629\) 8.99630 2.92307i 0.358706 0.116551i
\(630\) −23.1073 + 13.1901i −0.920616 + 0.525508i
\(631\) 36.7577 + 11.9433i 1.46330 + 0.475455i 0.929076 0.369888i \(-0.120604\pi\)
0.534224 + 0.845343i \(0.320604\pi\)
\(632\) 13.6329 3.84332i 0.542286 0.152879i
\(633\) 8.16985 12.2747i 0.324723 0.487874i
\(634\) −16.3373 18.6304i −0.648837 0.739909i
\(635\) 1.83239 + 5.09940i 0.0727161 + 0.202363i
\(636\) −4.39379 + 5.02761i −0.174225 + 0.199358i
\(637\) 1.74233 + 2.39811i 0.0690335 + 0.0950165i
\(638\) −7.39928 + 6.48854i −0.292940 + 0.256884i
\(639\) −4.15963 9.94121i −0.164552 0.393268i
\(640\) −23.6960 + 8.86009i −0.936665 + 0.350226i
\(641\) −22.8319 31.4254i −0.901806 1.24123i −0.969888 0.243550i \(-0.921688\pi\)
0.0680821 0.997680i \(-0.478312\pi\)
\(642\) −21.1544 11.4378i −0.834899 0.451413i
\(643\) 17.5439 0.691864 0.345932 0.938260i \(-0.387563\pi\)
0.345932 + 0.938260i \(0.387563\pi\)
\(644\) 11.7057 + 1.54191i 0.461269 + 0.0607599i
\(645\) 25.9080 + 16.1151i 1.02013 + 0.634532i
\(646\) 4.66467 + 10.8584i 0.183529 + 0.427216i
\(647\) −17.8336 + 5.79448i −0.701110 + 0.227804i −0.637814 0.770190i \(-0.720161\pi\)
−0.0632959 + 0.997995i \(0.520161\pi\)
\(648\) −25.2576 + 3.17068i −0.992213 + 0.124556i
\(649\) 15.8455 0.621991
\(650\) 10.9066 + 21.6118i 0.427792 + 0.847685i
\(651\) 41.9978 + 11.7633i 1.64603 + 0.461041i
\(652\) 9.40263 + 4.48563i 0.368236 + 0.175671i
\(653\) 1.36907 + 4.21357i 0.0535759 + 0.164890i 0.974264 0.225409i \(-0.0723718\pi\)
−0.920688 + 0.390299i \(0.872372\pi\)
\(654\) −0.715184 5.35950i −0.0279659 0.209573i
\(655\) −7.32058 + 5.67129i −0.286039 + 0.221595i
\(656\) −25.9223 + 1.35490i −1.01210 + 0.0529000i
\(657\) 19.7625 32.5108i 0.771010 1.26837i
\(658\) −0.920310 + 4.06653i −0.0358774 + 0.158530i
\(659\) −9.45627 + 6.87038i −0.368364 + 0.267632i −0.756532 0.653956i \(-0.773108\pi\)
0.388168 + 0.921589i \(0.373108\pi\)
\(660\) 9.11368 11.1007i 0.354749 0.432093i
\(661\) −2.32708 1.69072i −0.0905129 0.0657615i 0.541608 0.840631i \(-0.317816\pi\)
−0.632121 + 0.774869i \(0.717816\pi\)
\(662\) −26.9943 + 23.6717i −1.04916 + 0.920028i
\(663\) 6.21384 2.30508i 0.241325 0.0895218i
\(664\) 16.3112 + 6.01946i 0.632998 + 0.233600i
\(665\) 28.7153 + 37.0662i 1.11353 + 1.43736i
\(666\) 35.3658 6.20640i 1.37040 0.240493i
\(667\) −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
\(670\) 0.578165 + 4.69988i 0.0223364 + 0.181572i
\(671\) 0.517177 + 1.59171i 0.0199654 + 0.0614471i
\(672\) 13.1512 + 24.1282i 0.507317 + 0.930764i
\(673\) 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 \(0.524833\pi\)
\(678\) −5.04510 37.8073i −0.193756 1.45198i
\(679\) −47.0493 + 15.2872i −1.80559 + 0.586670i
\(680\) 5.75427 4.10586i 0.220666 0.157453i
\(681\) −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 0.140549 0.990074i \(-0.455113\pi\)
−0.468244 + 0.883599i \(0.655113\pi\)
\(684\) 11.7628 + 43.2898i 0.449763 + 1.65523i
\(685\) 7.23149 0.222851i 0.276301 0.00851471i
\(686\) −12.4405 + 20.9089i −0.474981 + 0.798307i
\(687\) −1.74401 4.70135i −0.0665380 0.179368i
\(688\) 17.1662 26.4255i 0.654454 1.00746i
\(689\) 3.87866 5.33852i 0.147765 0.203381i
\(690\) 1.73077 11.3983i 0.0658894 0.433926i
\(691\) −9.28419 12.7786i −0.353187 0.486121i 0.595048 0.803690i \(-0.297133\pi\)
−0.948235 + 0.317570i \(0.897133\pi\)
\(692\) −4.24117 + 32.1975i −0.161225 + 1.22397i
\(693\) −13.3311 8.10369i −0.506408 0.307834i
\(694\) 10.1233 44.7313i 0.384276 1.69798i
\(695\) −14.8373 + 5.33154i −0.562810 + 0.202237i
\(696\) −17.4764 + 5.71108i −0.662441 + 0.216478i
\(697\) 6.89820 2.24136i 0.261288 0.0848976i
\(698\) −2.36305 + 3.97161i −0.0894428 + 0.150328i
\(699\) 8.66986 30.9534i 0.327924 1.17077i
\(700\) 18.0179 21.4928i 0.681011 0.812352i
\(701\) 38.6678i 1.46046i −0.683201 0.730231i \(-0.739413\pi\)
0.683201 0.730231i \(-0.260587\pi\)
\(702\) 24.5796 5.36206i 0.927696 0.202378i
\(703\) −19.5533 60.1787i −0.737465 2.26968i
\(704\) −11.2775 9.63602i −0.425039 0.363171i
\(705\) 3.95234 + 0.976795i 0.148854 + 0.0367882i
\(706\) 23.0150 + 5.20861i 0.866182 + 0.196029i
\(707\) 19.1237i 0.719220i
\(708\) 27.2194 + 11.6388i 1.02297 + 0.437414i
\(709\) −26.7600 + 19.4423i −1.00499 + 0.730171i −0.963153 0.268953i \(-0.913322\pi\)
−0.0418412 + 0.999124i \(0.513322\pi\)
\(710\) 7.74892 + 8.30588i 0.290812 + 0.311714i
\(711\) −13.8592 + 5.79899i −0.519759 + 0.217479i
\(712\) 29.6771 37.6371i 1.11220 1.41051i
\(713\) −15.2891 + 11.1082i −0.572581 + 0.416004i
\(714\) −5.29526 5.56042i −0.198170 0.208093i
\(715\) −7.98554 + 11.7350i −0.298642 + 0.438864i
\(716\) −13.2615 + 13.9728i −0.495606 + 0.522187i
\(717\) 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 \(0.334324\pi\)
−0.912275 + 0.409579i \(0.865676\pi\)
\(720\) 23.8091 12.3745i 0.887311 0.461171i
\(721\) −11.7287 36.0971i −0.436798 1.34433i
\(722\) 47.9463 20.5974i 1.78438 0.766554i
\(723\) 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
\(726\) −18.2186 3.34349i −0.676157 0.124089i
\(727\) −7.26585 5.27895i −0.269475 0.195785i 0.444838 0.895611i \(-0.353261\pi\)
−0.714314 + 0.699825i \(0.753261\pi\)
\(728\) −15.0856 22.5822i −0.559108 0.836954i
\(729\) 26.1846 6.58522i 0.969801 0.243897i
\(730\) −7.64322 + 39.3691i −0.282888 + 1.45711i
\(731\) −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 \(0.483219\pi\)
\(734\) −11.4750 13.0856i −0.423548 0.482998i
\(735\) −2.84749 1.77117i −0.105031 0.0653306i
\(736\) −11.7347 2.01850i −0.432548 0.0744030i
\(737\) −2.24627 + 1.63201i −0.0827426 + 0.0601160i
\(738\) 27.1179 4.75895i 0.998223 0.175179i
\(739\) 5.22131 7.18652i 0.192069 0.264360i −0.702111 0.712067i \(-0.747759\pi\)
0.894180 + 0.447707i \(0.147759\pi\)
\(740\) −32.6912 + 19.0735i −1.20175 + 0.701154i
\(741\) −15.4193 41.5661i −0.566442 1.52697i
\(742\) −7.45644 1.68749i −0.273735 0.0619498i
\(743\) 38.1796i 1.40067i −0.713813 0.700337i \(-0.753033\pi\)
0.713813 0.700337i \(-0.246967\pi\)
\(744\) −41.8547 13.5213i −1.53447 0.495714i
\(745\) 25.2948 37.1715i 0.926731 1.36186i
\(746\) 0.863547 + 2.01015i 0.0316167 + 0.0735970i
\(747\) −17.9469 4.24064i −0.656644 0.155157i
\(748\) 3.74097 + 1.78467i 0.136783 + 0.0652540i
\(749\) 27.5350i 1.00611i
\(750\) −20.6360 18.0044i −0.753519 0.657426i
\(751\) 25.5204i 0.931254i 0.884981 + 0.465627i \(0.154171\pi\)
−0.884981 + 0.465627i \(0.845829\pi\)
\(752\) 1.08884 4.06135i 0.0397060 0.148102i
\(753\) 14.2281 0.584588i 0.518501 0.0213036i
\(754\) 16.6951 7.17211i 0.608001 0.261193i
\(755\) −9.99808 + 14.6925i −0.363867 + 0.534714i
\(756\) −16.9479 23.7125i −0.616388 0.862413i
\(757\) 24.9324i 0.906184i −0.891464 0.453092i \(-0.850321\pi\)
0.891464 0.453092i \(-0.149679\pi\)
\(758\) 2.01321 8.89568i 0.0731232 0.323106i
\(759\) 6.33797 2.35113i 0.230054 0.0853405i
\(760\) −27.4652 38.4919i −0.996269 1.39625i
\(761\) 26.6111 36.6270i 0.964650 1.32773i 0.0199469 0.999801i \(-0.493650\pi\)
0.944703 0.327926i \(-0.106350\pi\)
\(762\) −5.35307 + 2.56485i −0.193921 + 0.0929147i
\(763\) 5.00854 3.63892i 0.181321 0.131738i
\(764\) 36.5896 + 17.4555i 1.32376 + 0.631517i
\(765\) −5.53050 + 5.06256i −0.199955 + 0.183037i
\(766\) −15.4066 + 13.5102i −0.556661 + 0.488145i
\(767\) −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 \(-0.0500548\pi\)
\(770\) 16.1434 + 3.13413i 0.581768 + 0.112946i
\(771\) −19.9625 + 0.820196i −0.718932 + 0.0295386i
\(772\) 13.7633 7.47160i 0.495351 0.268909i
\(773\) −12.5760 9.13698i −0.452326 0.328634i 0.338187 0.941079i \(-0.390186\pi\)