Properties

Label 300.2.r.a.59.20
Level $300$
Weight $2$
Character 300.59
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

Related objects

Downloads

Learn more about

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 59.20
Character \(\chi\) \(=\) 300.59
Dual form 300.2.r.a.239.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.559437 + 1.29886i) q^{2} +(1.13894 + 1.30492i) q^{3} +(-1.37406 - 1.45326i) q^{4} +(0.778418 - 2.09620i) q^{5} +(-2.33207 + 0.749304i) q^{6} +3.14870 q^{7} +(2.65627 - 0.971702i) q^{8} +(-0.405623 + 2.97245i) q^{9} +O(q^{10})\) \(q+(-0.559437 + 1.29886i) q^{2} +(1.13894 + 1.30492i) q^{3} +(-1.37406 - 1.45326i) q^{4} +(0.778418 - 2.09620i) q^{5} +(-2.33207 + 0.749304i) q^{6} +3.14870 q^{7} +(2.65627 - 0.971702i) q^{8} +(-0.405623 + 2.97245i) q^{9} +(2.28719 + 2.18375i) q^{10} +(-1.76255 - 1.28057i) q^{11} +(0.331407 - 3.44821i) q^{12} +(2.63696 + 3.62946i) q^{13} +(-1.76150 + 4.08971i) q^{14} +(3.62195 - 1.37168i) q^{15} +(-0.223916 + 3.99373i) q^{16} +(1.48600 - 4.57343i) q^{17} +(-3.63387 - 2.18975i) q^{18} +(2.98189 + 0.968874i) q^{19} +(-4.11592 + 1.74907i) q^{20} +(3.58619 + 4.10880i) q^{21} +(2.64931 - 1.57291i) q^{22} +(-4.21422 + 5.80038i) q^{23} +(4.29333 + 2.35951i) q^{24} +(-3.78813 - 3.26345i) q^{25} +(-6.18937 + 1.39458i) q^{26} +(-4.34079 + 2.85615i) q^{27} +(-4.32651 - 4.57588i) q^{28} +(1.17852 - 0.382923i) q^{29} +(-0.244633 + 5.47176i) q^{30} +(-5.04721 - 1.63994i) q^{31} +(-5.06202 - 2.52507i) q^{32} +(-0.336407 - 3.75848i) q^{33} +(5.10891 + 4.48865i) q^{34} +(2.45101 - 6.60032i) q^{35} +(4.87709 - 3.49485i) q^{36} +(-5.18020 - 7.12994i) q^{37} +(-2.92661 + 3.33102i) q^{38} +(-1.73281 + 7.57477i) q^{39} +(0.0308082 - 6.32448i) q^{40} +(3.03863 + 4.18232i) q^{41} +(-7.34299 + 2.35933i) q^{42} +0.651734 q^{43} +(0.560856 + 4.32102i) q^{44} +(5.91512 + 3.16408i) q^{45} +(-5.17627 - 8.71862i) q^{46} +(-0.972428 + 0.315961i) q^{47} +(-5.46651 + 4.25643i) q^{48} +2.91433 q^{49} +(6.35797 - 3.09455i) q^{50} +(7.66042 - 3.26977i) q^{51} +(1.65120 - 8.81929i) q^{52} +(0.802886 + 2.47103i) q^{53} +(-1.28133 - 7.23590i) q^{54} +(-4.05634 + 2.69785i) q^{55} +(8.36382 - 3.05960i) q^{56} +(2.13190 + 4.99461i) q^{57} +(-0.161943 + 1.74495i) q^{58} +(-2.99418 + 2.17540i) q^{59} +(-6.97018 - 3.37885i) q^{60} +(10.3472 + 7.51767i) q^{61} +(4.95365 - 5.63817i) q^{62} +(-1.27718 + 9.35937i) q^{63} +(6.11159 - 5.16222i) q^{64} +(9.66075 - 2.70236i) q^{65} +(5.06993 + 1.66569i) q^{66} +(3.32333 - 10.2281i) q^{67} +(-8.68822 + 4.12463i) q^{68} +(-12.3688 + 1.10708i) q^{69} +(7.20169 + 6.87597i) q^{70} +(-3.91937 - 12.0626i) q^{71} +(1.81089 + 8.28979i) q^{72} +(6.85959 - 9.44142i) q^{73} +(12.1588 - 2.73959i) q^{74} +(-0.0559307 - 8.66007i) q^{75} +(-2.68927 - 5.66474i) q^{76} +(-5.54975 - 4.03213i) q^{77} +(-8.86914 - 6.48828i) q^{78} +(-10.8901 + 3.53841i) q^{79} +(8.19736 + 3.57816i) q^{80} +(-8.67094 - 2.41139i) q^{81} +(-7.13216 + 1.60701i) q^{82} +(-4.25869 - 1.38373i) q^{83} +(1.04350 - 10.8574i) q^{84} +(-8.43011 - 6.67500i) q^{85} +(-0.364604 + 0.846509i) q^{86} +(1.84194 + 1.10174i) q^{87} +(-5.92615 - 1.68887i) q^{88} +(-1.83218 + 2.52177i) q^{89} +(-7.41882 + 5.91279i) q^{90} +(8.30300 + 11.4281i) q^{91} +(14.2200 - 1.84572i) q^{92} +(-3.60850 - 8.45400i) q^{93} +(0.133624 - 1.43981i) q^{94} +(4.35211 - 5.49645i) q^{95} +(-2.47033 - 9.48143i) q^{96} +(-3.13732 + 1.01938i) q^{97} +(-1.63038 + 3.78529i) q^{98} +(4.52136 - 4.71967i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.559437 + 1.29886i −0.395582 + 0.918431i
\(3\) 1.13894 + 1.30492i 0.657568 + 0.753395i
\(4\) −1.37406 1.45326i −0.687030 0.726629i
\(5\) 0.778418 2.09620i 0.348119 0.937450i
\(6\) −2.33207 + 0.749304i −0.952063 + 0.305902i
\(7\) 3.14870 1.19010 0.595049 0.803690i \(-0.297133\pi\)
0.595049 + 0.803690i \(0.297133\pi\)
\(8\) 2.65627 0.971702i 0.939135 0.343549i
\(9\) −0.405623 + 2.97245i −0.135208 + 0.990817i
\(10\) 2.28719 + 2.18375i 0.723274 + 0.690562i
\(11\) −1.76255 1.28057i −0.531429 0.386106i 0.289463 0.957189i \(-0.406523\pi\)
−0.820892 + 0.571083i \(0.806523\pi\)
\(12\) 0.331407 3.44821i 0.0956690 0.995413i
\(13\) 2.63696 + 3.62946i 0.731361 + 1.00663i 0.999069 + 0.0431323i \(0.0137337\pi\)
−0.267708 + 0.963500i \(0.586266\pi\)
\(14\) −1.76150 + 4.08971i −0.470781 + 1.09302i
\(15\) 3.62195 1.37168i 0.935182 0.354166i
\(16\) −0.223916 + 3.99373i −0.0559789 + 0.998432i
\(17\) 1.48600 4.57343i 0.360407 1.10922i −0.592400 0.805644i \(-0.701819\pi\)
0.952807 0.303576i \(-0.0981806\pi\)
\(18\) −3.63387 2.18975i −0.856512 0.516128i
\(19\) 2.98189 + 0.968874i 0.684092 + 0.222275i 0.630386 0.776282i \(-0.282897\pi\)
0.0537059 + 0.998557i \(0.482897\pi\)
\(20\) −4.11592 + 1.74907i −0.920347 + 0.391103i
\(21\) 3.58619 + 4.10880i 0.782571 + 0.896613i
\(22\) 2.64931 1.57291i 0.564836 0.335345i
\(23\) −4.21422 + 5.80038i −0.878726 + 1.20946i 0.0980458 + 0.995182i \(0.468741\pi\)
−0.976772 + 0.214281i \(0.931259\pi\)
\(24\) 4.29333 + 2.35951i 0.876373 + 0.481633i
\(25\) −3.78813 3.26345i −0.757626 0.652689i
\(26\) −6.18937 + 1.39458i −1.21384 + 0.273499i
\(27\) −4.34079 + 2.85615i −0.835385 + 0.549666i
\(28\) −4.32651 4.57588i −0.817633 0.864759i
\(29\) 1.17852 0.382923i 0.218845 0.0711070i −0.197542 0.980294i \(-0.563296\pi\)
0.416387 + 0.909187i \(0.363296\pi\)
\(30\) −0.244633 + 5.47176i −0.0446637 + 0.999002i
\(31\) −5.04721 1.63994i −0.906506 0.294542i −0.181587 0.983375i \(-0.558123\pi\)
−0.724920 + 0.688833i \(0.758123\pi\)
\(32\) −5.06202 2.52507i −0.894846 0.446374i
\(33\) −0.336407 3.75848i −0.0585609 0.654267i
\(34\) 5.10891 + 4.48865i 0.876171 + 0.769796i
\(35\) 2.45101 6.60032i 0.414296 1.11566i
\(36\) 4.87709 3.49485i 0.812848 0.582476i
\(37\) −5.18020 7.12994i −0.851620 1.17215i −0.983503 0.180889i \(-0.942102\pi\)
0.131884 0.991265i \(-0.457898\pi\)
\(38\) −2.92661 + 3.33102i −0.474758 + 0.540363i
\(39\) −1.73281 + 7.57477i −0.277472 + 1.21293i
\(40\) 0.0308082 6.32448i 0.00487121 0.999988i
\(41\) 3.03863 + 4.18232i 0.474555 + 0.653169i 0.977447 0.211180i \(-0.0677307\pi\)
−0.502892 + 0.864349i \(0.667731\pi\)
\(42\) −7.34299 + 2.35933i −1.13305 + 0.364053i
\(43\) 0.651734 0.0993885 0.0496942 0.998764i \(-0.484175\pi\)
0.0496942 + 0.998764i \(0.484175\pi\)
\(44\) 0.560856 + 4.32102i 0.0845523 + 0.651419i
\(45\) 5.91512 + 3.16408i 0.881774 + 0.471673i
\(46\) −5.17627 8.71862i −0.763200 1.28549i
\(47\) −0.972428 + 0.315961i −0.141843 + 0.0460877i −0.379078 0.925365i \(-0.623759\pi\)
0.237235 + 0.971452i \(0.423759\pi\)
\(48\) −5.46651 + 4.25643i −0.789023 + 0.614363i
\(49\) 2.91433 0.416332
\(50\) 6.35797 3.09455i 0.899153 0.437635i
\(51\) 7.66042 3.26977i 1.07267 0.457859i
\(52\) 1.65120 8.81929i 0.228981 1.22301i
\(53\) 0.802886 + 2.47103i 0.110285 + 0.339422i 0.990934 0.134346i \(-0.0428935\pi\)
−0.880650 + 0.473768i \(0.842893\pi\)
\(54\) −1.28133 7.23590i −0.174367 0.984681i
\(55\) −4.05634 + 2.69785i −0.546956 + 0.363778i
\(56\) 8.36382 3.05960i 1.11766 0.408856i
\(57\) 2.13190 + 4.99461i 0.282376 + 0.661552i
\(58\) −0.161943 + 1.74495i −0.0212642 + 0.229123i
\(59\) −2.99418 + 2.17540i −0.389809 + 0.283213i −0.765377 0.643582i \(-0.777448\pi\)
0.375568 + 0.926795i \(0.377448\pi\)
\(60\) −6.97018 3.37885i −0.899846 0.436207i
\(61\) 10.3472 + 7.51767i 1.32482 + 0.962538i 0.999859 + 0.0168114i \(0.00535148\pi\)
0.324962 + 0.945727i \(0.394649\pi\)
\(62\) 4.95365 5.63817i 0.629114 0.716048i
\(63\) −1.27718 + 9.35937i −0.160910 + 1.17917i
\(64\) 6.11159 5.16222i 0.763949 0.645277i
\(65\) 9.66075 2.70236i 1.19827 0.335187i
\(66\) 5.06993 + 1.66569i 0.624065 + 0.205032i
\(67\) 3.32333 10.2281i 0.406009 1.24957i −0.514041 0.857766i \(-0.671852\pi\)
0.920050 0.391802i \(-0.128148\pi\)
\(68\) −8.68822 + 4.12463i −1.05360 + 0.500185i
\(69\) −12.3688 + 1.10708i −1.48903 + 0.133277i
\(70\) 7.20169 + 6.87597i 0.860766 + 0.821836i
\(71\) −3.91937 12.0626i −0.465144 1.43157i −0.858802 0.512308i \(-0.828790\pi\)
0.393658 0.919257i \(-0.371210\pi\)
\(72\) 1.81089 + 8.28979i 0.213416 + 0.976961i
\(73\) 6.85959 9.44142i 0.802855 1.10503i −0.189532 0.981875i \(-0.560697\pi\)
0.992387 0.123160i \(-0.0393029\pi\)
\(74\) 12.1588 2.73959i 1.41343 0.318471i
\(75\) −0.0559307 8.66007i −0.00645832 0.999979i
\(76\) −2.68927 5.66474i −0.308480 0.649790i
\(77\) −5.54975 4.03213i −0.632453 0.459504i
\(78\) −8.86914 6.48828i −1.00423 0.734653i
\(79\) −10.8901 + 3.53841i −1.22523 + 0.398103i −0.848986 0.528416i \(-0.822786\pi\)
−0.376249 + 0.926519i \(0.622786\pi\)
\(80\) 8.19736 + 3.57816i 0.916493 + 0.400051i
\(81\) −8.67094 2.41139i −0.963438 0.267932i
\(82\) −7.13216 + 1.60701i −0.787616 + 0.177464i
\(83\) −4.25869 1.38373i −0.467451 0.151884i 0.0658144 0.997832i \(-0.479035\pi\)
−0.533266 + 0.845948i \(0.679035\pi\)
\(84\) 1.04350 10.8574i 0.113855 1.18464i
\(85\) −8.43011 6.67500i −0.914374 0.724005i
\(86\) −0.364604 + 0.846509i −0.0393163 + 0.0912814i
\(87\) 1.84194 + 1.10174i 0.197477 + 0.118119i
\(88\) −5.92615 1.68887i −0.631730 0.180034i
\(89\) −1.83218 + 2.52177i −0.194210 + 0.267308i −0.895006 0.446055i \(-0.852829\pi\)
0.700795 + 0.713362i \(0.252829\pi\)
\(90\) −7.41882 + 5.91279i −0.782012 + 0.623263i
\(91\) 8.30300 + 11.4281i 0.870391 + 1.19799i
\(92\) 14.2200 1.84572i 1.48254 0.192430i
\(93\) −3.60850 8.45400i −0.374184 0.876639i
\(94\) 0.133624 1.43981i 0.0137823 0.148505i
\(95\) 4.35211 5.49645i 0.446517 0.563924i
\(96\) −2.47033 9.48143i −0.252127 0.967694i
\(97\) −3.13732 + 1.01938i −0.318546 + 0.103502i −0.463926 0.885874i \(-0.653560\pi\)
0.145380 + 0.989376i \(0.453560\pi\)
\(98\) −1.63038 + 3.78529i −0.164693 + 0.382372i
\(99\) 4.52136 4.71967i 0.454414 0.474345i
\(100\) 0.462492 + 9.98930i 0.0462492 + 0.998930i
\(101\) 0.736578i 0.0732922i −0.999328 0.0366461i \(-0.988333\pi\)
0.999328 0.0366461i \(-0.0116674\pi\)
\(102\) −0.0385608 + 11.7790i −0.00381808 + 1.16630i
\(103\) −2.07137 6.37502i −0.204098 0.628150i −0.999749 0.0223945i \(-0.992871\pi\)
0.795651 0.605755i \(-0.207129\pi\)
\(104\) 10.5312 + 7.07851i 1.03267 + 0.694105i
\(105\) 11.4044 4.31901i 1.11296 0.421493i
\(106\) −3.65868 0.339551i −0.355362 0.0329801i
\(107\) 2.15398i 0.208233i 0.994565 + 0.104116i \(0.0332014\pi\)
−0.994565 + 0.104116i \(0.966799\pi\)
\(108\) 10.1152 + 2.38376i 0.973337 + 0.229378i
\(109\) −13.4159 + 9.74722i −1.28501 + 0.933614i −0.999692 0.0248185i \(-0.992099\pi\)
−0.285318 + 0.958433i \(0.592099\pi\)
\(110\) −1.23485 6.77788i −0.117739 0.646245i
\(111\) 3.40403 14.8803i 0.323097 1.41238i
\(112\) −0.705044 + 12.5751i −0.0666204 + 1.18823i
\(113\) −12.7227 + 9.24356i −1.19685 + 0.869561i −0.993971 0.109643i \(-0.965029\pi\)
−0.202877 + 0.979204i \(0.565029\pi\)
\(114\) −7.67995 0.0251417i −0.719293 0.00235474i
\(115\) 8.87834 + 13.3490i 0.827910 + 1.24480i
\(116\) −2.17584 1.18653i −0.202022 0.110166i
\(117\) −11.8580 + 6.36605i −1.09627 + 0.588541i
\(118\) −1.15048 5.10601i −0.105910 0.470047i
\(119\) 4.67896 14.4004i 0.428920 1.32008i
\(120\) 8.28802 7.16301i 0.756589 0.653891i
\(121\) −1.93245 5.94748i −0.175678 0.540680i
\(122\) −15.5530 + 9.23385i −1.40810 + 0.835993i
\(123\) −1.99676 + 8.72859i −0.180042 + 0.787031i
\(124\) 4.55192 + 9.58828i 0.408775 + 0.861053i
\(125\) −9.78959 + 5.40036i −0.875608 + 0.483023i
\(126\) −11.4420 6.89486i −1.01933 0.614243i
\(127\) −3.49604 2.54002i −0.310223 0.225390i 0.421769 0.906703i \(-0.361409\pi\)
−0.731992 + 0.681313i \(0.761409\pi\)
\(128\) 3.28593 + 10.8260i 0.290438 + 0.956894i
\(129\) 0.742287 + 0.850459i 0.0653547 + 0.0748788i
\(130\) −1.89460 + 14.0597i −0.166167 + 1.23312i
\(131\) −1.63335 + 5.02693i −0.142706 + 0.439205i −0.996709 0.0810640i \(-0.974168\pi\)
0.854003 + 0.520269i \(0.174168\pi\)
\(132\) −4.99980 + 5.65326i −0.435176 + 0.492054i
\(133\) 9.38907 + 3.05070i 0.814136 + 0.264529i
\(134\) 11.4257 + 10.0385i 0.987031 + 0.867197i
\(135\) 2.60811 + 11.3224i 0.224471 + 0.974481i
\(136\) −0.496795 13.5922i −0.0425999 1.16552i
\(137\) 8.06374 5.85865i 0.688932 0.500538i −0.187377 0.982288i \(-0.559999\pi\)
0.876309 + 0.481750i \(0.159999\pi\)
\(138\) 5.48161 16.6846i 0.466626 1.42029i
\(139\) 3.77253 5.19245i 0.319982 0.440417i −0.618480 0.785801i \(-0.712251\pi\)
0.938462 + 0.345383i \(0.112251\pi\)
\(140\) −12.9598 + 5.50729i −1.09530 + 0.465451i
\(141\) −1.51984 0.909078i −0.127994 0.0765582i
\(142\) 17.8602 + 1.65755i 1.49880 + 0.139099i
\(143\) 9.77393i 0.817337i
\(144\) −11.7803 2.28552i −0.981695 0.190460i
\(145\) 0.114694 2.76848i 0.00952485 0.229910i
\(146\) 8.42555 + 14.1915i 0.697303 + 1.17450i
\(147\) 3.31925 + 3.80296i 0.273767 + 0.313663i
\(148\) −3.24372 + 17.3251i −0.266632 + 1.42412i
\(149\) 7.76880i 0.636445i −0.948016 0.318222i \(-0.896914\pi\)
0.948016 0.318222i \(-0.103086\pi\)
\(150\) 11.2795 + 4.77212i 0.920966 + 0.389642i
\(151\) 5.58897i 0.454824i 0.973799 + 0.227412i \(0.0730265\pi\)
−0.973799 + 0.227412i \(0.926974\pi\)
\(152\) 8.86217 0.323912i 0.718817 0.0262727i
\(153\) 12.9915 + 6.27214i 1.05030 + 0.507073i
\(154\) 8.34190 4.95261i 0.672209 0.399093i
\(155\) −7.36649 + 9.30342i −0.591691 + 0.747269i
\(156\) 13.3891 7.88997i 1.07198 0.631703i
\(157\) 11.7964i 0.941452i 0.882279 + 0.470726i \(0.156008\pi\)
−0.882279 + 0.470726i \(0.843992\pi\)
\(158\) 1.49644 16.1242i 0.119050 1.28277i
\(159\) −2.31005 + 3.86206i −0.183199 + 0.306281i
\(160\) −9.23343 + 8.64545i −0.729967 + 0.683483i
\(161\) −13.2693 + 18.2637i −1.04577 + 1.43938i
\(162\) 7.98289 9.91330i 0.627195 0.778862i
\(163\) 16.2585 11.8125i 1.27347 0.925228i 0.274132 0.961692i \(-0.411609\pi\)
0.999335 + 0.0364641i \(0.0116095\pi\)
\(164\) 1.90272 10.1627i 0.148578 0.793572i
\(165\) −8.14040 2.22049i −0.633729 0.172865i
\(166\) 4.17974 4.75731i 0.324410 0.369239i
\(167\) −10.8653 3.53036i −0.840784 0.273187i −0.143203 0.989693i \(-0.545740\pi\)
−0.697581 + 0.716506i \(0.745740\pi\)
\(168\) 13.5184 + 7.42939i 1.04297 + 0.573190i
\(169\) −2.20223 + 6.77777i −0.169402 + 0.521367i
\(170\) 13.3860 7.21527i 1.02666 0.553386i
\(171\) −4.08945 + 8.47052i −0.312728 + 0.647757i
\(172\) −0.895522 0.947137i −0.0682829 0.0722185i
\(173\) 8.36246 + 6.07568i 0.635786 + 0.461926i 0.858400 0.512981i \(-0.171459\pi\)
−0.222614 + 0.974907i \(0.571459\pi\)
\(174\) −2.46145 + 1.77607i −0.186602 + 0.134643i
\(175\) −11.9277 10.2756i −0.901649 0.776764i
\(176\) 5.50891 6.75241i 0.415250 0.508982i
\(177\) −6.24892 1.42951i −0.469697 0.107448i
\(178\) −2.25044 3.79051i −0.168677 0.284111i
\(179\) 5.35967 + 16.4954i 0.400600 + 1.23292i 0.924514 + 0.381149i \(0.124472\pi\)
−0.523913 + 0.851772i \(0.675528\pi\)
\(180\) −3.52951 12.9438i −0.263074 0.964776i
\(181\) −1.65808 + 5.10304i −0.123244 + 0.379306i −0.993577 0.113158i \(-0.963904\pi\)
0.870333 + 0.492464i \(0.163904\pi\)
\(182\) −19.4885 + 4.39111i −1.44458 + 0.325491i
\(183\) 1.97490 + 22.0644i 0.145989 + 1.63105i
\(184\) −5.55789 + 19.5024i −0.409733 + 1.43773i
\(185\) −18.9782 + 5.30868i −1.39530 + 0.390302i
\(186\) 12.9993 + 0.0425554i 0.953152 + 0.00312032i
\(187\) −8.47574 + 6.15799i −0.619808 + 0.450317i
\(188\) 1.79535 + 0.979039i 0.130939 + 0.0714038i
\(189\) −13.6678 + 8.99315i −0.994189 + 0.654156i
\(190\) 4.70437 + 8.72769i 0.341291 + 0.633173i
\(191\) −17.5836 + 12.7752i −1.27230 + 0.924382i −0.999292 0.0376288i \(-0.988020\pi\)
−0.273011 + 0.962011i \(0.588020\pi\)
\(192\) 13.6970 + 2.09566i 0.988497 + 0.151241i
\(193\) 4.54215i 0.326951i −0.986547 0.163476i \(-0.947730\pi\)
0.986547 0.163476i \(-0.0522705\pi\)
\(194\) 0.431107 4.64520i 0.0309517 0.333506i
\(195\) 14.5294 + 9.52866i 1.04047 + 0.682361i
\(196\) −4.00446 4.23527i −0.286033 0.302519i
\(197\) −6.54918 20.1563i −0.466610 1.43608i −0.856947 0.515405i \(-0.827641\pi\)
0.390337 0.920672i \(-0.372359\pi\)
\(198\) 3.60077 + 8.51296i 0.255895 + 0.604990i
\(199\) 13.2061i 0.936152i −0.883688 0.468076i \(-0.844947\pi\)
0.883688 0.468076i \(-0.155053\pi\)
\(200\) −13.2334 4.98767i −0.935743 0.352682i
\(201\) 17.1320 7.31260i 1.20840 0.515791i
\(202\) 0.956709 + 0.412069i 0.0673138 + 0.0289931i
\(203\) 3.71080 1.20571i 0.260447 0.0846243i
\(204\) −15.2777 6.63970i −1.06965 0.464872i
\(205\) 11.1323 3.11400i 0.777515 0.217491i
\(206\) 9.43905 + 0.876009i 0.657650 + 0.0610345i
\(207\) −15.5320 14.8793i −1.07955 1.03419i
\(208\) −15.0855 + 9.71861i −1.04599 + 0.673864i
\(209\) −4.01502 5.52620i −0.277725 0.382255i
\(210\) −0.770277 + 17.2289i −0.0531542 + 1.18891i
\(211\) −4.11230 + 5.66009i −0.283102 + 0.389657i −0.926758 0.375658i \(-0.877417\pi\)
0.643656 + 0.765315i \(0.277417\pi\)
\(212\) 2.48783 4.56214i 0.170865 0.313329i
\(213\) 11.2767 18.8530i 0.772670 1.29179i
\(214\) −2.79771 1.20501i −0.191247 0.0823731i
\(215\) 0.507322 1.36617i 0.0345990 0.0931717i
\(216\) −8.75500 + 11.8047i −0.595702 + 0.803205i
\(217\) −15.8922 5.16368i −1.07883 0.350533i
\(218\) −5.15490 22.8783i −0.349134 1.54951i
\(219\) 20.1330 1.80202i 1.36046 0.121769i
\(220\) 9.49432 + 2.18789i 0.640107 + 0.147508i
\(221\) 20.5176 6.66658i 1.38016 0.448443i
\(222\) 17.4231 + 12.7460i 1.16936 + 0.855453i
\(223\) 3.65405 + 2.65482i 0.244693 + 0.177780i 0.703372 0.710822i \(-0.251677\pi\)
−0.458678 + 0.888602i \(0.651677\pi\)
\(224\) −15.9388 7.95070i −1.06495 0.531229i
\(225\) 11.2370 9.93631i 0.749132 0.662420i
\(226\) −4.88853 21.6961i −0.325180 1.44320i
\(227\) 9.30073 12.8014i 0.617311 0.849656i −0.379842 0.925051i \(-0.624022\pi\)
0.997154 + 0.0753949i \(0.0240217\pi\)
\(228\) 4.32910 9.96109i 0.286702 0.659689i
\(229\) 5.40156 + 16.6243i 0.356945 + 1.09856i 0.954873 + 0.297014i \(0.0959909\pi\)
−0.597928 + 0.801550i \(0.704009\pi\)
\(230\) −22.3053 + 4.06378i −1.47077 + 0.267958i
\(231\) −1.05924 11.8343i −0.0696932 0.778642i
\(232\) 2.75837 2.16232i 0.181096 0.141963i
\(233\) 0.673758 2.07361i 0.0441393 0.135847i −0.926558 0.376151i \(-0.877247\pi\)
0.970698 + 0.240304i \(0.0772473\pi\)
\(234\) −1.63477 18.9633i −0.106868 1.23967i
\(235\) −0.0946377 + 2.28436i −0.00617348 + 0.149015i
\(236\) 7.27560 + 1.36219i 0.473601 + 0.0886707i
\(237\) −17.0206 10.1807i −1.10560 0.661305i
\(238\) 16.0864 + 14.1334i 1.04273 + 0.916133i
\(239\) 15.5633 + 11.3074i 1.00671 + 0.731416i 0.963516 0.267651i \(-0.0862473\pi\)
0.0431918 + 0.999067i \(0.486247\pi\)
\(240\) 4.66711 + 14.7722i 0.301261 + 0.953542i
\(241\) −13.6390 + 9.90929i −0.878563 + 0.638313i −0.932871 0.360211i \(-0.882705\pi\)
0.0543080 + 0.998524i \(0.482705\pi\)
\(242\) 8.80602 + 0.817259i 0.566072 + 0.0525354i
\(243\) −6.72904 14.0613i −0.431668 0.902033i
\(244\) −3.29254 25.3668i −0.210784 1.62395i
\(245\) 2.26857 6.10902i 0.144933 0.390291i
\(246\) −10.2201 7.47660i −0.651612 0.476691i
\(247\) 4.34662 + 13.3775i 0.276569 + 0.851192i
\(248\) −15.0003 + 0.548261i −0.952521 + 0.0348146i
\(249\) −3.04474 7.13323i −0.192953 0.452050i
\(250\) −1.53764 15.7364i −0.0972487 0.995260i
\(251\) 11.6721 0.736734 0.368367 0.929680i \(-0.379917\pi\)
0.368367 + 0.929680i \(0.379917\pi\)
\(252\) 15.3565 11.0043i 0.967369 0.693203i
\(253\) 14.8556 4.82687i 0.933962 0.303463i
\(254\) 5.25493 3.11987i 0.329724 0.195758i
\(255\) −0.891083 18.6030i −0.0558018 1.16497i
\(256\) −15.8997 1.78852i −0.993733 0.111782i
\(257\) 20.2519 1.26328 0.631639 0.775262i \(-0.282382\pi\)
0.631639 + 0.775262i \(0.282382\pi\)
\(258\) −1.51989 + 0.488346i −0.0946241 + 0.0304031i
\(259\) −16.3109 22.4500i −1.01351 1.39498i
\(260\) −17.2017 10.3264i −1.06680 0.640413i
\(261\) 0.660188 + 3.65840i 0.0408646 + 0.226450i
\(262\) −5.61551 4.93373i −0.346927 0.304807i
\(263\) −5.07241 6.98157i −0.312778 0.430502i 0.623467 0.781850i \(-0.285724\pi\)
−0.936245 + 0.351348i \(0.885724\pi\)
\(264\) −4.54571 9.65667i −0.279769 0.594327i
\(265\) 5.80476 + 0.240483i 0.356583 + 0.0147727i
\(266\) −9.21501 + 10.4884i −0.565009 + 0.643085i
\(267\) −5.37745 + 0.481315i −0.329095 + 0.0294560i
\(268\) −19.4306 + 9.22444i −1.18691 + 0.563473i
\(269\) 23.6312 + 7.67824i 1.44082 + 0.468150i 0.922153 0.386826i \(-0.126429\pi\)
0.518666 + 0.854977i \(0.326429\pi\)
\(270\) −16.1653 2.94663i −0.983790 0.179326i
\(271\) −23.5753 + 7.66008i −1.43210 + 0.465316i −0.919424 0.393268i \(-0.871345\pi\)
−0.512673 + 0.858584i \(0.671345\pi\)
\(272\) 17.9323 + 6.95873i 1.08731 + 0.421935i
\(273\) −5.45610 + 23.8507i −0.330218 + 1.44351i
\(274\) 3.09840 + 13.7512i 0.187181 + 0.830740i
\(275\) 2.49771 + 10.6030i 0.150617 + 0.639382i
\(276\) 18.6043 + 16.4538i 1.11985 + 0.990404i
\(277\) 2.68838 3.70024i 0.161529 0.222326i −0.720579 0.693373i \(-0.756124\pi\)
0.882108 + 0.471047i \(0.156124\pi\)
\(278\) 4.63375 + 7.80483i 0.277914 + 0.468102i
\(279\) 6.92190 14.3374i 0.414404 0.858358i
\(280\) 0.0970060 19.9139i 0.00579722 1.19008i
\(281\) −9.45731 3.07287i −0.564176 0.183312i 0.0130233 0.999915i \(-0.495854\pi\)
−0.577199 + 0.816603i \(0.695854\pi\)
\(282\) 2.03102 1.46549i 0.120945 0.0872685i
\(283\) 0.948172 2.91817i 0.0563630 0.173467i −0.918912 0.394463i \(-0.870931\pi\)
0.975275 + 0.220996i \(0.0709306\pi\)
\(284\) −12.1446 + 22.2706i −0.720649 + 1.32152i
\(285\) 12.1292 0.580988i 0.718473 0.0344148i
\(286\) 12.6949 + 5.46790i 0.750668 + 0.323324i
\(287\) 9.56776 + 13.1689i 0.564767 + 0.777335i
\(288\) 9.55893 14.0224i 0.563265 0.826276i
\(289\) −4.95479 3.59987i −0.291458 0.211757i
\(290\) 3.53170 + 1.69776i 0.207389 + 0.0996961i
\(291\) −4.90342 2.93293i −0.287444 0.171931i
\(292\) −23.1463 + 3.00433i −1.35454 + 0.175815i
\(293\) 2.31737 0.135382 0.0676912 0.997706i \(-0.478437\pi\)
0.0676912 + 0.997706i \(0.478437\pi\)
\(294\) −6.79641 + 2.18372i −0.396375 + 0.127357i
\(295\) 2.22935 + 7.96978i 0.129798 + 0.464019i
\(296\) −20.6882 13.9055i −1.20248 0.808238i
\(297\) 11.3084 + 0.524571i 0.656177 + 0.0304387i
\(298\) 10.0906 + 4.34615i 0.584530 + 0.251766i
\(299\) −32.1650 −1.86015
\(300\) −12.5085 + 11.9807i −0.722177 + 0.691709i
\(301\) 2.05212 0.118282
\(302\) −7.25928 3.12668i −0.417725 0.179920i
\(303\) 0.961174 0.838919i 0.0552180 0.0481947i
\(304\) −4.53711 + 11.6919i −0.260221 + 0.670576i
\(305\) 23.8130 15.8379i 1.36353 0.906875i
\(306\) −15.4146 + 13.3653i −0.881192 + 0.764043i
\(307\) 28.8797 1.64825 0.824126 0.566407i \(-0.191667\pi\)
0.824126 + 0.566407i \(0.191667\pi\)
\(308\) 1.76597 + 13.6056i 0.100625 + 0.775252i
\(309\) 5.95971 9.96375i 0.339036 0.566818i
\(310\) −7.96273 14.7727i −0.452253 0.839033i
\(311\) 18.7272 + 13.6061i 1.06192 + 0.771533i 0.974443 0.224633i \(-0.0721183\pi\)
0.0874808 + 0.996166i \(0.472118\pi\)
\(312\) 2.75760 + 21.8044i 0.156118 + 1.23443i
\(313\) 3.63733 + 5.00635i 0.205594 + 0.282976i 0.899346 0.437239i \(-0.144043\pi\)
−0.693752 + 0.720214i \(0.744043\pi\)
\(314\) −15.3218 6.59932i −0.864659 0.372421i
\(315\) 18.6249 + 9.96274i 1.04940 + 0.561337i
\(316\) 20.1059 + 10.9642i 1.13105 + 0.616782i
\(317\) −9.58331 + 29.4944i −0.538252 + 1.65657i 0.198263 + 0.980149i \(0.436470\pi\)
−0.736515 + 0.676421i \(0.763530\pi\)
\(318\) −3.72393 5.16100i −0.208828 0.289415i
\(319\) −2.56756 0.834249i −0.143756 0.0467090i
\(320\) −6.06368 16.8295i −0.338970 0.940797i
\(321\) −2.81076 + 2.45325i −0.156881 + 0.136927i
\(322\) −16.2985 27.4523i −0.908282 1.52986i
\(323\) 8.86216 12.1977i 0.493104 0.678699i
\(324\) 8.41003 + 15.9145i 0.467224 + 0.884139i
\(325\) 1.85541 22.3545i 0.102920 1.24000i
\(326\) 6.24715 + 27.7259i 0.345998 + 1.53559i
\(327\) −27.9993 6.40513i −1.54836 0.354204i
\(328\) 12.1354 + 8.15675i 0.670067 + 0.450381i
\(329\) −3.06189 + 0.994867i −0.168807 + 0.0548488i
\(330\) 7.43815 9.33099i 0.409456 0.513654i
\(331\) 12.3747 + 4.02077i 0.680173 + 0.221002i 0.628671 0.777671i \(-0.283599\pi\)
0.0515019 + 0.998673i \(0.483599\pi\)
\(332\) 3.84077 + 8.09030i 0.210790 + 0.444013i
\(333\) 23.2946 12.5058i 1.27654 0.685316i
\(334\) 10.6639 12.1375i 0.583502 0.664134i
\(335\) −18.8533 14.9281i −1.03007 0.815612i
\(336\) −17.2124 + 13.4022i −0.939015 + 0.731152i
\(337\) 13.4721 + 18.5428i 0.733872 + 1.01009i 0.998948 + 0.0458606i \(0.0146030\pi\)
−0.265076 + 0.964228i \(0.585397\pi\)
\(338\) −7.57135 6.65212i −0.411827 0.361828i
\(339\) −26.5525 6.07416i −1.44213 0.329903i
\(340\) 1.88299 + 21.4230i 0.102120 + 1.16182i
\(341\) 6.79592 + 9.35379i 0.368020 + 0.506536i
\(342\) −8.71420 10.0503i −0.471210 0.543460i
\(343\) −12.8646 −0.694621
\(344\) 1.73118 0.633291i 0.0933392 0.0341448i
\(345\) −7.30742 + 26.7892i −0.393418 + 1.44228i
\(346\) −12.5697 + 7.46268i −0.675752 + 0.401196i
\(347\) 27.6581 8.98666i 1.48477 0.482429i 0.549232 0.835670i \(-0.314920\pi\)
0.935533 + 0.353240i \(0.114920\pi\)
\(348\) −0.929832 4.19068i −0.0498442 0.224644i
\(349\) 5.92600 0.317212 0.158606 0.987342i \(-0.449300\pi\)
0.158606 + 0.987342i \(0.449300\pi\)
\(350\) 20.0194 9.74381i 1.07008 0.520828i
\(351\) −21.8128 8.22319i −1.16428 0.438921i
\(352\) 5.68854 + 10.9328i 0.303200 + 0.582722i
\(353\) −2.48576 7.65037i −0.132303 0.407188i 0.862857 0.505447i \(-0.168673\pi\)
−0.995161 + 0.0982593i \(0.968673\pi\)
\(354\) 5.35260 7.31673i 0.284487 0.388880i
\(355\) −28.3365 1.17394i −1.50395 0.0623064i
\(356\) 6.18231 0.802446i 0.327662 0.0425296i
\(357\) 24.1204 10.2955i 1.27659 0.544897i
\(358\) −24.4235 2.26667i −1.29082 0.119797i
\(359\) 1.50430 1.09294i 0.0793940 0.0576831i −0.547380 0.836884i \(-0.684375\pi\)
0.626774 + 0.779201i \(0.284375\pi\)
\(360\) 18.7867 + 2.65693i 0.990147 + 0.140032i
\(361\) −7.41839 5.38978i −0.390442 0.283672i
\(362\) −5.70053 5.00844i −0.299613 0.263238i
\(363\) 5.56002 9.29553i 0.291826 0.487889i
\(364\) 5.19915 27.7693i 0.272510 1.45551i
\(365\) −14.4515 21.7285i −0.756426 1.13732i
\(366\) −29.7633 9.77853i −1.55576 0.511132i
\(367\) 0.121948 0.375316i 0.00636561 0.0195913i −0.947823 0.318796i \(-0.896721\pi\)
0.954189 + 0.299205i \(0.0967214\pi\)
\(368\) −22.2215 18.1293i −1.15838 0.945053i
\(369\) −13.6643 + 7.33575i −0.711335 + 0.381884i
\(370\) 3.72187 27.6198i 0.193491 1.43588i
\(371\) 2.52805 + 7.78053i 0.131250 + 0.403945i
\(372\) −7.32754 + 16.8604i −0.379915 + 0.874170i
\(373\) −11.2377 + 15.4674i −0.581868 + 0.800872i −0.993899 0.110297i \(-0.964820\pi\)
0.412031 + 0.911170i \(0.364820\pi\)
\(374\) −3.25670 14.4538i −0.168400 0.747388i
\(375\) −18.1968 6.62392i −0.939679 0.342058i
\(376\) −2.27602 + 1.78419i −0.117377 + 0.0920126i
\(377\) 4.49751 + 3.26763i 0.231633 + 0.168291i
\(378\) −4.03452 22.7837i −0.207514 1.17187i
\(379\) 3.28955 1.06884i 0.168973 0.0549027i −0.223309 0.974748i \(-0.571686\pi\)
0.392282 + 0.919845i \(0.371686\pi\)
\(380\) −13.9678 + 1.22771i −0.716534 + 0.0629804i
\(381\) −0.667265 7.45497i −0.0341850 0.381930i
\(382\) −6.75628 29.9855i −0.345681 1.53419i
\(383\) 18.3405 + 5.95919i 0.937156 + 0.304500i 0.737486 0.675363i \(-0.236013\pi\)
0.199670 + 0.979863i \(0.436013\pi\)
\(384\) −10.3846 + 16.6181i −0.529936 + 0.848038i
\(385\) −12.7722 + 8.49472i −0.650931 + 0.432931i
\(386\) 5.89961 + 2.54105i 0.300282 + 0.129336i
\(387\) −0.264358 + 1.93725i −0.0134381 + 0.0984758i
\(388\) 5.79228 + 3.15865i 0.294058 + 0.160356i
\(389\) 9.43895 12.9916i 0.478574 0.658700i −0.499656 0.866224i \(-0.666540\pi\)
0.978230 + 0.207524i \(0.0665404\pi\)
\(390\) −20.5046 + 13.5409i −1.03829 + 0.685671i
\(391\) 20.2653 + 27.8928i 1.02486 + 1.41060i
\(392\) 7.74125 2.83186i 0.390992 0.143030i
\(393\) −8.42002 + 3.59399i −0.424734 + 0.181293i
\(394\) 29.8440 + 2.76973i 1.50352 + 0.139537i
\(395\) −1.05984 + 25.5823i −0.0533262 + 1.28718i
\(396\) −13.0715 0.0855849i −0.656869 0.00430081i
\(397\) −0.716276 + 0.232732i −0.0359489 + 0.0116805i −0.326936 0.945046i \(-0.606016\pi\)
0.290987 + 0.956727i \(0.406016\pi\)
\(398\) 17.1528 + 7.38795i 0.859791 + 0.370325i
\(399\) 6.71270 + 15.7265i 0.336056 + 0.787312i
\(400\) 13.8815 14.3980i 0.694077 0.719901i
\(401\) 8.21552i 0.410264i −0.978734 0.205132i \(-0.934238\pi\)
0.978734 0.205132i \(-0.0657623\pi\)
\(402\) −0.0862384 + 26.3429i −0.00430118 + 1.31387i
\(403\) −7.35720 22.6431i −0.366488 1.12794i
\(404\) −1.07044 + 1.01210i −0.0532562 + 0.0503540i
\(405\) −11.8044 + 16.2990i −0.586564 + 0.809903i
\(406\) −0.509910 + 5.49431i −0.0253064 + 0.272678i
\(407\) 19.2005i 0.951733i
\(408\) 17.1709 16.1290i 0.850088 0.798507i
\(409\) 26.4187 19.1943i 1.30632 0.949096i 0.306323 0.951928i \(-0.400901\pi\)
0.999996 + 0.00283185i \(0.000901408\pi\)
\(410\) −2.18320 + 16.2014i −0.107820 + 0.800129i
\(411\) 16.8292 + 3.84986i 0.830123 + 0.189900i
\(412\) −6.41836 + 11.7699i −0.316210 + 0.579862i
\(413\) −9.42778 + 6.84969i −0.463911 + 0.337051i
\(414\) 28.0153 11.8498i 1.37688 0.582384i
\(415\) −6.21562 + 7.84995i −0.305113 + 0.385339i
\(416\) −4.18367 25.0309i −0.205121 1.22724i
\(417\) 11.0724 0.991048i 0.542218 0.0485318i
\(418\) 9.42390 2.12338i 0.460938 0.103858i
\(419\) 0.230406 0.709116i 0.0112561 0.0346426i −0.945271 0.326287i \(-0.894202\pi\)
0.956527 + 0.291644i \(0.0942024\pi\)
\(420\) −21.9470 10.6390i −1.07090 0.519129i
\(421\) 4.36803 + 13.4434i 0.212885 + 0.655192i 0.999297 + 0.0374897i \(0.0119362\pi\)
−0.786412 + 0.617702i \(0.788064\pi\)
\(422\) −5.05108 8.50775i −0.245883 0.414151i
\(423\) −0.544740 3.01866i −0.0264862 0.146772i
\(424\) 4.53379 + 5.78356i 0.220180 + 0.280875i
\(425\) −20.5543 + 12.4753i −0.997030 + 0.605140i
\(426\) 18.1788 + 25.1940i 0.880765 + 1.22065i
\(427\) 32.5802 + 23.6709i 1.57667 + 1.14551i
\(428\) 3.13028 2.95969i 0.151308 0.143062i
\(429\) 12.7542 11.1319i 0.615778 0.537455i
\(430\) 1.49064 + 1.42322i 0.0718850 + 0.0686339i
\(431\) 2.59889 7.99856i 0.125184 0.385277i −0.868750 0.495250i \(-0.835076\pi\)
0.993935 + 0.109973i \(0.0350765\pi\)
\(432\) −10.4347 17.9755i −0.502040 0.864845i
\(433\) −37.6095 12.2201i −1.80739 0.587258i −0.807399 0.590006i \(-0.799125\pi\)
−0.999996 + 0.00274802i \(0.999125\pi\)
\(434\) 15.5976 17.7529i 0.748707 0.852167i
\(435\) 3.74327 3.00347i 0.179476 0.144006i
\(436\) 32.5995 + 6.10349i 1.56123 + 0.292304i
\(437\) −18.1862 + 13.2130i −0.869963 + 0.632065i
\(438\) −8.92255 + 27.1580i −0.426336 + 1.29766i
\(439\) −12.6738 + 17.4441i −0.604890 + 0.832559i −0.996145 0.0877231i \(-0.972041\pi\)
0.391255 + 0.920282i \(0.372041\pi\)
\(440\) −8.15324 + 11.1078i −0.388690 + 0.529542i
\(441\) −1.18212 + 8.66270i −0.0562913 + 0.412509i
\(442\) −2.81938 + 30.3790i −0.134104 + 1.44498i
\(443\) 17.3000i 0.821948i 0.911647 + 0.410974i \(0.134811\pi\)
−0.911647 + 0.410974i \(0.865189\pi\)
\(444\) −26.3023 + 15.4995i −1.24825 + 0.735575i
\(445\) 3.85995 + 5.80361i 0.182979 + 0.275117i
\(446\) −5.49245 + 3.26088i −0.260075 + 0.154407i
\(447\) 10.1376 8.84821i 0.479494 0.418506i
\(448\) 19.2436 16.2543i 0.909173 0.767943i
\(449\) 5.83429i 0.275337i −0.990478 0.137669i \(-0.956039\pi\)
0.990478 0.137669i \(-0.0439609\pi\)
\(450\) 6.61946 + 20.1540i 0.312044 + 0.950068i
\(451\) 11.2627i 0.530342i
\(452\) 30.9150 + 5.78810i 1.45412 + 0.272250i
\(453\) −7.29315 + 6.36552i −0.342662 + 0.299078i
\(454\) 11.4240 + 19.2419i 0.536153 + 0.903066i
\(455\) 30.4188 8.50893i 1.42606 0.398905i
\(456\) 10.5162 + 11.1955i 0.492465 + 0.524277i
\(457\) 2.37590i 0.111140i 0.998455 + 0.0555699i \(0.0176976\pi\)
−0.998455 + 0.0555699i \(0.982302\pi\)
\(458\) −24.6144 2.28439i −1.15016 0.106742i
\(459\) 6.61199 + 24.0965i 0.308621 + 1.12473i
\(460\) 7.20014 31.2448i 0.335708 1.45680i
\(461\) −8.59164 + 11.8254i −0.400152 + 0.550762i −0.960782 0.277304i \(-0.910559\pi\)
0.560630 + 0.828067i \(0.310559\pi\)
\(462\) 15.9637 + 5.24476i 0.742698 + 0.244008i
\(463\) 5.25785 3.82005i 0.244353 0.177533i −0.458867 0.888505i \(-0.651745\pi\)
0.703220 + 0.710972i \(0.251745\pi\)
\(464\) 1.26540 + 4.79241i 0.0587448 + 0.222482i
\(465\) −20.5302 + 0.983394i −0.952066 + 0.0456038i
\(466\) 2.31640 + 2.03517i 0.107305 + 0.0942774i
\(467\) 21.8778 + 7.10854i 1.01239 + 0.328944i 0.767804 0.640685i \(-0.221349\pi\)
0.244581 + 0.969629i \(0.421349\pi\)
\(468\) 25.5451 + 8.48543i 1.18082 + 0.392239i
\(469\) 10.4642 32.2054i 0.483190 1.48711i
\(470\) −2.91411 1.40087i −0.134418 0.0646175i
\(471\) −15.3933 + 13.4354i −0.709285 + 0.619069i
\(472\) −5.83952 + 8.68791i −0.268786 + 0.399893i
\(473\) −1.14871 0.834590i −0.0528180 0.0383745i
\(474\) 22.7452 16.4118i 1.04472 0.753820i
\(475\) −8.13391 13.4014i −0.373209 0.614900i
\(476\) −27.3566 + 12.9872i −1.25389 + 0.595269i
\(477\) −7.67068 + 1.38423i −0.351216 + 0.0633797i
\(478\) −23.3934 + 13.8888i −1.06999 + 0.635257i
\(479\) −2.55938 7.87696i −0.116941 0.359908i 0.875406 0.483389i \(-0.160594\pi\)
−0.992347 + 0.123481i \(0.960594\pi\)
\(480\) −21.7979 2.20221i −0.994935 0.100517i
\(481\) 12.2179 37.6027i 0.557087 1.71454i
\(482\) −5.24061 23.2587i −0.238703 1.05940i
\(483\) −38.9456 + 3.48587i −1.77209 + 0.158612i
\(484\) −5.98791 + 10.9806i −0.272178 + 0.499116i
\(485\) −0.305327 + 7.36995i −0.0138642 + 0.334652i
\(486\) 22.0281 0.873647i 0.999214 0.0396294i
\(487\) 22.1343 16.0815i 1.00300 0.728722i 0.0402704 0.999189i \(-0.487178\pi\)
0.962729 + 0.270467i \(0.0871781\pi\)
\(488\) 34.7899 + 9.91461i 1.57486 + 0.448813i
\(489\) 33.9319 + 7.76229i 1.53445 + 0.351023i
\(490\) 6.66562 + 6.36415i 0.301122 + 0.287503i
\(491\) 1.14907 0.834847i 0.0518567 0.0376761i −0.561555 0.827439i \(-0.689797\pi\)
0.613412 + 0.789763i \(0.289797\pi\)
\(492\) 15.4286 9.09181i 0.695573 0.409890i
\(493\) 5.95888i 0.268375i
\(494\) −19.8072 1.83824i −0.891167 0.0827065i
\(495\) −6.37388 13.1516i −0.286485 0.591119i
\(496\) 7.67962 19.7900i 0.344825 0.888597i
\(497\) −12.3409 37.9815i −0.553567 1.70370i
\(498\) 10.9684 + 0.0359070i 0.491505 + 0.00160903i
\(499\) 3.74440i 0.167622i −0.996482 0.0838111i \(-0.973291\pi\)
0.996482 0.0838111i \(-0.0267092\pi\)
\(500\) 21.2996 + 6.80638i 0.952547 + 0.304390i
\(501\) −7.76815 18.1992i −0.347055 0.813082i
\(502\) −6.52978 + 15.1603i −0.291439 + 0.676639i
\(503\) −13.7647 + 4.47241i −0.613736 + 0.199415i −0.599357 0.800482i \(-0.704577\pi\)
−0.0143790 + 0.999897i \(0.504577\pi\)
\(504\) 5.70197 + 26.1021i 0.253986 + 1.16268i
\(505\) −1.54402 0.573366i −0.0687078 0.0255144i
\(506\) −2.04134 + 21.9956i −0.0907488 + 0.977824i
\(507\) −11.3527 + 4.84576i −0.504189 + 0.215208i
\(508\) 1.11246 + 8.57078i 0.0493576 + 0.380267i
\(509\) 14.0390 + 19.3230i 0.622266 + 0.856475i 0.997515 0.0704484i \(-0.0224430\pi\)
−0.375250 + 0.926924i \(0.622443\pi\)
\(510\) 24.6612 + 9.24984i 1.09202 + 0.409590i
\(511\) 21.5988 29.7282i 0.955475 1.31510i
\(512\) 11.2179 19.6509i 0.495767 0.868456i
\(513\) −15.7110 + 4.31103i −0.693657 + 0.190337i
\(514\) −11.3297 + 26.3043i −0.499730 + 1.16023i
\(515\) −14.9757 0.620424i −0.659910 0.0273391i
\(516\) 0.215989 2.24732i 0.00950839 0.0989326i
\(517\) 2.11857 + 0.688364i 0.0931744 + 0.0302742i
\(518\) 38.2843 8.62616i 1.68212 0.379012i
\(519\) 1.59609 + 17.8322i 0.0700605 + 0.782746i
\(520\) 23.0357 16.5656i 1.01018 0.726449i
\(521\) −1.04897 + 0.340832i −0.0459563 + 0.0149321i −0.331905 0.943313i \(-0.607691\pi\)
0.285949 + 0.958245i \(0.407691\pi\)
\(522\) −5.12108 1.18916i −0.224144 0.0520480i
\(523\) 31.1401 + 22.6246i 1.36166 + 0.989304i 0.998337 + 0.0576413i \(0.0183580\pi\)
0.363323 + 0.931663i \(0.381642\pi\)
\(524\) 9.54974 4.53363i 0.417182 0.198052i
\(525\) −0.176109 27.2680i −0.00768603 1.19007i
\(526\) 11.9058 2.68258i 0.519116 0.116966i
\(527\) −15.0003 + 20.6461i −0.653423 + 0.899360i
\(528\) 15.0857 0.501935i 0.656520 0.0218439i
\(529\) −8.77735 27.0139i −0.381624 1.17452i
\(530\) −3.55975 + 7.40501i −0.154626 + 0.321653i
\(531\) −5.25176 9.78245i −0.227907 0.424522i
\(532\) −8.46771 17.8366i −0.367122 0.773314i
\(533\) −7.16683 + 22.0572i −0.310430 + 0.955405i
\(534\) 2.38319 7.25381i 0.103131 0.313903i
\(535\) 4.51517 + 1.67669i 0.195208 + 0.0724898i
\(536\) −1.11105 30.3981i −0.0479899 1.31300i
\(537\) −15.4207 + 25.7812i −0.665454 + 1.11254i
\(538\) −23.1931 + 26.3980i −0.999925 + 1.13810i
\(539\) −5.13665 3.73200i −0.221251 0.160748i
\(540\) 12.8707 19.3480i 0.553868 0.832605i
\(541\) −10.0337 + 7.28994i −0.431384 + 0.313419i −0.782202 0.623025i \(-0.785904\pi\)
0.350818 + 0.936444i \(0.385904\pi\)
\(542\) 3.23954 34.9063i 0.139150 1.49935i
\(543\) −8.54750 + 3.64841i −0.366808 + 0.156568i
\(544\) −19.0704 + 19.3985i −0.817636 + 0.831705i
\(545\) 9.98897 + 35.7099i 0.427880 + 1.52964i
\(546\) −27.9263 20.4297i −1.19513 0.874308i
\(547\) −1.95152 6.00616i −0.0834410 0.256805i 0.900628 0.434590i \(-0.143107\pi\)
−0.984069 + 0.177785i \(0.943107\pi\)
\(548\) −19.5942 3.66855i −0.837023 0.156713i
\(549\) −26.5429 + 27.7072i −1.13283 + 1.18251i
\(550\) −15.1690 2.68752i −0.646810 0.114596i
\(551\) 3.88521 0.165515
\(552\) −31.7791 + 14.9595i −1.35261 + 0.636718i
\(553\) −34.2897 + 11.1414i −1.45815 + 0.473781i
\(554\) 3.30211 + 5.56188i 0.140293 + 0.236302i
\(555\) −28.5424 18.7187i −1.21156 0.794563i
\(556\) −12.7296 + 1.65227i −0.539857 + 0.0700720i
\(557\) 43.8286 1.85708 0.928539 0.371236i \(-0.121066\pi\)
0.928539 + 0.371236i \(0.121066\pi\)
\(558\) 14.7499 + 17.0114i 0.624412 + 0.720152i
\(559\) 1.71860 + 2.36544i 0.0726889 + 0.100048i
\(560\) 25.8111 + 11.2666i 1.09072 + 0.476100i
\(561\) −17.6891 4.04656i −0.746832 0.170846i
\(562\) 9.28199 10.5646i 0.391537 0.445642i
\(563\) −11.8810 16.3529i −0.500726 0.689191i 0.481595 0.876394i \(-0.340058\pi\)
−0.982321 + 0.187203i \(0.940058\pi\)
\(564\) 0.767231 + 3.45785i 0.0323063 + 0.145602i
\(565\) 9.47281 + 33.8646i 0.398524 + 1.42470i
\(566\) 3.25985 + 2.86407i 0.137022 + 0.120386i
\(567\) −27.3022 7.59274i −1.14659 0.318865i
\(568\) −22.1322 28.2331i −0.928645 1.18463i
\(569\) −6.83824 2.22188i −0.286674 0.0931460i 0.162150 0.986766i \(-0.448157\pi\)
−0.448824 + 0.893620i \(0.648157\pi\)
\(570\) −6.03091 + 16.0792i −0.252607 + 0.673482i
\(571\) −8.99158 + 2.92154i −0.376286 + 0.122263i −0.491053 0.871130i \(-0.663388\pi\)
0.114767 + 0.993392i \(0.463388\pi\)
\(572\) −14.2040 + 13.4300i −0.593901 + 0.561535i
\(573\) −36.6973 8.39490i −1.53305 0.350702i
\(574\) −22.4571 + 5.05999i −0.937340 + 0.211200i
\(575\) 34.8932 8.21971i 1.45515 0.342785i
\(576\) 12.8654 + 20.2603i 0.536060 + 0.844180i
\(577\) 13.2052 18.1754i 0.549740 0.756653i −0.440237 0.897882i \(-0.645105\pi\)
0.989977 + 0.141229i \(0.0451054\pi\)
\(578\) 7.44761 4.42167i 0.309780 0.183917i
\(579\) 5.92713 5.17325i 0.246323 0.214993i
\(580\) −4.18092 + 3.63738i −0.173603 + 0.151034i
\(581\) −13.4093 4.35696i −0.556313 0.180757i
\(582\) 6.55262 4.72806i 0.271615 0.195984i
\(583\) 1.74919 5.38347i 0.0724442 0.222960i
\(584\) 9.04671 31.7445i 0.374356 1.31360i
\(585\) 4.11402 + 29.8123i 0.170094 + 1.23259i
\(586\) −1.29642 + 3.00994i −0.0535548 + 0.124339i
\(587\) −23.2299 31.9733i −0.958802 1.31968i −0.947505 0.319741i \(-0.896404\pi\)
−0.0112970 0.999936i \(-0.503596\pi\)
\(588\) 0.965829 10.0492i 0.0398301 0.414423i
\(589\) −13.4613 9.78023i −0.554664 0.402987i
\(590\) −11.5988 1.56298i −0.477515 0.0643468i
\(591\) 18.8432 31.5030i 0.775105 1.29586i
\(592\) 29.6350 19.0918i 1.21799 0.784669i
\(593\) 13.3435 0.547953 0.273977 0.961736i \(-0.411661\pi\)
0.273977 + 0.961736i \(0.411661\pi\)
\(594\) −7.00766 + 14.3945i −0.287528 + 0.590613i
\(595\) −26.5439 21.0176i −1.08819 0.861637i
\(596\) −11.2901 + 10.6748i −0.462459 + 0.437257i
\(597\) 17.2328 15.0409i 0.705292 0.615584i
\(598\) 17.9943 41.7778i 0.735842 1.70842i
\(599\) 10.8222 0.442182 0.221091 0.975253i \(-0.429038\pi\)
0.221091 + 0.975253i \(0.429038\pi\)
\(600\) −8.56358 22.9492i −0.349607 0.936897i
\(601\) 7.06828 0.288321 0.144160 0.989554i \(-0.453952\pi\)
0.144160 + 0.989554i \(0.453952\pi\)
\(602\) −1.14803 + 2.66541i −0.0467902 + 0.108634i
\(603\) 29.0547 + 14.0272i 1.18320 + 0.571232i
\(604\) 8.12222 7.67959i 0.330488 0.312478i
\(605\) −13.9714 0.578815i −0.568018 0.0235322i
\(606\) 0.551920 + 1.71775i 0.0224202 + 0.0697788i
\(607\) −20.7689 −0.842983 −0.421492 0.906832i \(-0.638493\pi\)
−0.421492 + 0.906832i \(0.638493\pi\)
\(608\) −12.6479 12.4339i −0.512939 0.504263i
\(609\) 5.79974 + 3.46905i 0.235017 + 0.140573i
\(610\) 7.24930 + 39.7900i 0.293515 + 1.61105i
\(611\) −3.71102 2.69622i −0.150132 0.109077i
\(612\) −8.73613 27.4984i −0.353137 1.11156i
\(613\) 20.8906 + 28.7535i 0.843764 + 1.16134i 0.985202 + 0.171395i \(0.0548274\pi\)
−0.141438 + 0.989947i \(0.545173\pi\)
\(614\) −16.1564 + 37.5106i −0.652018 + 1.51381i
\(615\) 16.7426 + 10.9801i 0.675126 + 0.442761i
\(616\) −18.6597 5.31774i −0.751821 0.214258i
\(617\) −14.8717 + 45.7703i −0.598711 + 1.84264i −0.0633979 + 0.997988i \(0.520194\pi\)
−0.535313 + 0.844654i \(0.679806\pi\)
\(618\) 9.60741 + 13.3149i 0.386467 + 0.535604i
\(619\) −21.0541 6.84090i −0.846236 0.274959i −0.146368 0.989230i \(-0.546758\pi\)
−0.699869 + 0.714271i \(0.746758\pi\)
\(620\) 23.6423 2.07806i 0.949497 0.0834569i
\(621\) 1.72631 37.2147i 0.0692744 1.49337i
\(622\) −28.1491 + 16.7122i −1.12868 + 0.670100i
\(623\) −5.76898 + 7.94032i −0.231129 + 0.318122i
\(624\) −29.8636 8.61648i −1.19550 0.344935i
\(625\) 3.69985 + 24.7247i 0.147994 + 0.988988i
\(626\) −8.53739 + 1.92363i −0.341223 + 0.0768837i
\(627\) 2.63837 11.5333i 0.105366 0.460596i
\(628\) 17.1432 16.2089i 0.684086 0.646806i
\(629\) −40.3060 + 13.0962i −1.60711 + 0.522181i
\(630\) −23.3597 + 18.6176i −0.930671 + 0.741744i
\(631\) −2.11030 0.685677i −0.0840095 0.0272964i 0.266711 0.963777i \(-0.414063\pi\)
−0.350720 + 0.936480i \(0.614063\pi\)
\(632\) −25.4889 + 19.9810i −1.01389 + 0.794800i
\(633\) −12.0696 + 1.08030i −0.479724 + 0.0429382i
\(634\) −32.9477 28.9476i −1.30852 1.14966i
\(635\) −8.04577 + 5.35120i −0.319287 + 0.212356i
\(636\) 8.78671 1.94960i 0.348416 0.0773068i
\(637\) 7.68496 + 10.5774i 0.304489 + 0.419094i
\(638\) 2.51996 2.86818i 0.0997660 0.113552i
\(639\) 37.4452 6.75729i 1.48131 0.267314i
\(640\) 25.2514 + 1.53919i 0.998147 + 0.0608418i
\(641\) −0.775928 1.06797i −0.0306473 0.0421824i 0.793418 0.608677i \(-0.208299\pi\)
−0.824066 + 0.566494i \(0.808299\pi\)
\(642\) −1.61398 5.02322i −0.0636988 0.198251i
\(643\) 16.1293 0.636078 0.318039 0.948078i \(-0.396976\pi\)
0.318039 + 0.948078i \(0.396976\pi\)
\(644\) 44.7747 5.81163i 1.76437 0.229010i
\(645\) 2.36054 0.893971i 0.0929463 0.0352001i
\(646\) 10.8853 + 18.3345i 0.428275 + 0.721362i
\(647\) −31.3201 + 10.1765i −1.23132 + 0.400081i −0.851193 0.524853i \(-0.824120\pi\)
−0.380129 + 0.924934i \(0.624120\pi\)
\(648\) −25.3755 + 2.02027i −0.996846 + 0.0793636i
\(649\) 8.06315 0.316506
\(650\) 27.9973 + 14.9158i 1.09814 + 0.585047i
\(651\) −11.3621 26.6191i −0.445315 1.04329i
\(652\) −39.5068 7.39673i −1.54721 0.289678i
\(653\) −12.3997 38.1622i −0.485236 1.49340i −0.831638 0.555317i \(-0.812597\pi\)
0.346402 0.938086i \(-0.387403\pi\)
\(654\) 23.9832 32.7838i 0.937816 1.28195i
\(655\) 9.26603 + 7.33688i 0.362054 + 0.286676i
\(656\) −17.3835 + 11.1990i −0.678710 + 0.437247i
\(657\) 25.2818 + 24.2195i 0.986336 + 0.944891i
\(658\) 0.420742 4.53352i 0.0164022 0.176735i
\(659\) 5.18431 3.76662i 0.201952 0.146727i −0.482213 0.876054i \(-0.660167\pi\)
0.684165 + 0.729327i \(0.260167\pi\)
\(660\) 7.95845 + 14.8812i 0.309782 + 0.579250i
\(661\) −27.1923 19.7564i −1.05766 0.768434i −0.0840046 0.996465i \(-0.526771\pi\)
−0.973654 + 0.228032i \(0.926771\pi\)
\(662\) −12.1453 + 13.8236i −0.472039 + 0.537268i
\(663\) 32.0677 + 19.1810i 1.24541 + 0.744927i
\(664\) −12.6568 + 0.462606i −0.491180 + 0.0179526i
\(665\) 13.7035 17.3067i 0.531399 0.671124i
\(666\) 3.21144 + 37.2526i 0.124441 + 1.44351i
\(667\) −2.74543 + 8.44956i −0.106303 + 0.327168i
\(668\) 9.79909 + 20.6410i 0.379138 + 0.798626i
\(669\) 0.697424 + 7.79192i 0.0269640 + 0.301253i
\(670\) 29.9368 16.1364i 1.15656 0.623405i
\(671\) −8.61055 26.5006i −0.332407 1.02304i
\(672\) −7.77833 29.8542i −0.300055 1.15165i
\(673\) 22.2887 30.6778i 0.859167 1.18254i −0.122600 0.992456i \(-0.539123\pi\)
0.981767 0.190086i \(-0.0608766\pi\)
\(674\) −31.6212 + 7.12483i −1.21800 + 0.274438i
\(675\) 25.7643 + 3.34647i 0.991670 + 0.128806i
\(676\) 12.8758 6.11266i 0.495225 0.235102i
\(677\) −29.2698 21.2657i −1.12493 0.817309i −0.139980 0.990154i \(-0.544704\pi\)
−0.984949 + 0.172845i \(0.944704\pi\)
\(678\) 22.7439 31.0898i 0.873474 1.19399i
\(679\) −9.87848 + 3.20971i −0.379101 + 0.123177i
\(680\) −28.8788 9.53906i −1.10745 0.365806i
\(681\) 27.2977 2.44331i 1.04605 0.0936279i
\(682\) −15.9511 + 3.59408i −0.610800 + 0.137624i
\(683\) 6.27951 + 2.04034i 0.240279 + 0.0780713i 0.426681 0.904402i \(-0.359683\pi\)
−0.186402 + 0.982474i \(0.559683\pi\)
\(684\) 17.9290 5.69598i 0.685532 0.217791i
\(685\) −6.00396 21.4637i −0.229399 0.820087i
\(686\) 7.19692 16.7092i 0.274780 0.637962i
\(687\) −15.5413 + 25.9827i −0.592937 + 0.991302i
\(688\) −0.145933 + 2.60285i −0.00556366 + 0.0992326i
\(689\) −6.85133 + 9.43005i −0.261015 + 0.359256i
\(690\) −30.7073 24.4782i −1.16901 0.931868i
\(691\) 6.82283 + 9.39083i 0.259553 + 0.357244i 0.918828 0.394658i \(-0.129137\pi\)
−0.659275 + 0.751902i \(0.729137\pi\)
\(692\) −2.66099 20.5012i −0.101156 0.779338i
\(693\) 14.2364 14.8608i 0.540797 0.564517i
\(694\) −3.80058 + 40.9514i −0.144268 + 1.55449i
\(695\) −7.94781 11.9499i −0.301478 0.453285i
\(696\) 5.96327 + 1.13670i 0.226037 + 0.0430866i
\(697\) 23.6430 7.68207i 0.895541 0.290979i
\(698\) −3.31523 + 7.69703i −0.125483 + 0.291337i
\(699\) 3.47327 1.48253i 0.131371 0.0560743i
\(700\) 1.45625 + 31.4533i 0.0550411 + 1.18882i
\(701\) 7.71123i 0.291249i −0.989340 0.145625i \(-0.953481\pi\)
0.989340 0.145625i \(-0.0465192\pi\)
\(702\) 22.8836 23.7313i 0.863686 0.895681i
\(703\) −8.53877 26.2796i −0.322046 0.991155i
\(704\) −17.3826 + 1.27236i −0.655130 + 0.0479540i
\(705\) −3.08868 + 2.47825i −0.116327 + 0.0933365i
\(706\) 11.3274 + 1.05126i 0.426311 + 0.0395646i
\(707\) 2.31926i 0.0872249i
\(708\) 6.50895 + 11.0455i 0.244621 + 0.415116i
\(709\) −7.86571 + 5.71477i −0.295403 + 0.214623i −0.725608 0.688108i \(-0.758441\pi\)
0.430205 + 0.902731i \(0.358441\pi\)
\(710\) 17.3773 36.1484i 0.652158 1.35662i
\(711\) −6.10049 33.8056i −0.228786 1.26781i
\(712\) −2.41635 + 8.47886i −0.0905565 + 0.317759i
\(713\) 30.7824 22.3647i 1.15281 0.837564i
\(714\) −0.121416 + 37.0886i −0.00454389 + 1.38801i
\(715\) −20.4881 7.60821i −0.766213 0.284531i
\(716\) 16.6075 30.4546i 0.620651 1.13814i
\(717\) 2.97047 + 33.1874i 0.110934 + 1.23940i
\(718\) 0.578010 + 2.56530i 0.0215711 + 0.0957362i
\(719\) 5.91073 18.1913i 0.220433 0.678423i −0.778290 0.627905i \(-0.783913\pi\)
0.998723 0.0505180i \(-0.0160872\pi\)
\(720\) −13.9610 + 22.9149i −0.520294 + 0.853987i
\(721\) −6.52213 20.0731i −0.242897 0.747560i
\(722\) 11.1507 6.62019i 0.414985 0.246378i
\(723\) −28.4648 6.51163i −1.05862 0.242170i
\(724\) 9.69433 4.60227i 0.360287 0.171042i
\(725\) −5.71402 2.39546i −0.212213 0.0889652i
\(726\) 8.96308 + 12.4219i 0.332651 + 0.461021i
\(727\) 10.2976 + 7.48165i 0.381917 + 0.277479i 0.762135 0.647418i \(-0.224151\pi\)
−0.380218 + 0.924897i \(0.624151\pi\)
\(728\) 33.1598 + 22.2881i 1.22898 + 0.826053i
\(729\) 10.6849 24.7958i 0.395736 0.918365i
\(730\) 36.3069 6.61472i 1.34378 0.244822i
\(731\) 0.968475 2.98066i 0.0358203 0.110244i
\(732\) 29.3516 33.1879i 1.08487 1.22666i
\(733\) −17.8317 5.79386i −0.658628 0.214001i −0.0394131 0.999223i \(-0.512549\pi\)
−0.619214 + 0.785222i \(0.712549\pi\)
\(734\) 0.419260 + 0.368358i 0.0154752 + 0.0135963i
\(735\) 10.5555 3.99753i 0.389347 0.147451i
\(736\) 35.9788 18.7204i 1.32620 0.690043i
\(737\) −18.9554 + 13.7719i −0.698231 + 0.507294i
\(738\) −1.88379 21.8519i −0.0693431 0.804378i
\(739\) 4.09366 5.63444i 0.150588 0.207266i −0.727058 0.686576i \(-0.759113\pi\)
0.877646 + 0.479310i \(0.159113\pi\)
\(740\) 33.7920 + 20.2857i 1.24222 + 0.745717i
\(741\) −12.5060 + 20.9082i −0.459421 + 0.768083i
\(742\) −11.5201 1.06914i −0.422916 0.0392495i
\(743\) 38.3548i 1.40710i 0.710645 + 0.703551i \(0.248403\pi\)
−0.710645 + 0.703551i \(0.751597\pi\)
\(744\) −17.7999 18.9498i −0.652577 0.694732i
\(745\) −16.2850 6.04737i −0.596635 0.221559i
\(746\) −13.8032 23.2493i −0.505370 0.851216i
\(747\) 5.84049 12.0975i 0.213692 0.442623i
\(748\) 20.5953 + 3.85599i 0.753040 + 0.140989i
\(749\) 6.78223i 0.247817i
\(750\) 18.7835 19.9294i 0.685876 0.727718i
\(751\) 16.5627i 0.604381i 0.953248 + 0.302191i \(0.0977179\pi\)
−0.953248 + 0.302191i \(0.902282\pi\)
\(752\) −1.04412 3.95436i −0.0380752 0.144201i
\(753\) 13.2938 + 15.2311i 0.484453 + 0.555052i
\(754\) −6.76026 + 4.01359i −0.246194 + 0.146166i
\(755\) 11.7156 + 4.35056i 0.426375 + 0.158333i
\(756\) 31.8498 + 7.50576i 1.15837 + 0.272982i
\(757\) 19.9055i 0.723479i 0.932279 + 0.361739i \(0.117817\pi\)
−0.932279 + 0.361739i \(0.882183\pi\)
\(758\) −0.452027 + 4.87061i −0.0164183 + 0.176909i
\(759\) 23.2183 + 13.8878i 0.842771 + 0.504095i
\(760\) 6.21949 18.8290i 0.225605 0.683001i
\(761\) 29.7135 40.8972i 1.07712 1.48252i 0.214458 0.976733i \(-0.431202\pi\)
0.862657 0.505789i \(-0.168798\pi\)
\(762\) 10.0562 + 3.30391i 0.364299 + 0.119688i
\(763\) −42.2427 + 30.6911i −1.52929 + 1.11109i
\(764\) 42.7266 + 7.99955i 1.54579 + 0.289413i
\(765\) 23.2605 22.3506i 0.840987 0.808086i
\(766\) −18.0005 + 20.4879i −0.650384 + 0.740258i
\(767\) −15.7911 5.13083i −0.570183 0.185264i
\(768\) −15.7750 22.7849i −0.569231 0.822178i
\(769\) 8.29531 25.5303i 0.299136 0.920647i −0.682664 0.730732i \(-0.739179\pi\)
0.981801 0.189915i \(-0.0608213\pi\)
\(770\) −3.88819 21.3415i −0.140121 0.769095i
\(771\) 23.0657 + 26.4271i 0.830692 + 0.951747i
\(772\) −6.60091 + 6.24119i −0.237572 + 0.224625i
\(773\) −20.6276 14.9869i −0.741925 0.539040i 0.151388 0.988474i \(-0.451626\pi\)
−0.893313 + 0.449434i \(0.851626\pi\)
\(774\) −2.36832