Properties

Label 690.2.n.a.89.10
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.10
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.479764 + 1.66428i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(2.20932 - 0.344845i) q^{5} +(1.71562 + 0.238029i) q^{6} +(2.74772 - 1.76585i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-2.53965 - 1.59692i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-0.479764 + 1.66428i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(2.20932 - 0.344845i) q^{5} +(1.71562 + 0.238029i) q^{6} +(2.74772 - 1.76585i) q^{7} +(0.415415 + 0.909632i) q^{8} +(-2.53965 - 1.59692i) q^{9} +(-0.655753 - 2.13775i) q^{10} +(0.103499 - 0.719848i) q^{11} +(-0.00855129 - 1.73203i) q^{12} +(0.797957 - 1.24165i) q^{13} +(-2.13892 - 2.46844i) q^{14} +(-0.486034 + 3.84237i) q^{15} +(0.841254 - 0.540641i) q^{16} +(0.487896 - 1.66162i) q^{17} +(-1.21924 + 2.74107i) q^{18} +(-1.66137 - 5.65810i) q^{19} +(-2.02267 + 0.953313i) q^{20} +(1.62061 + 5.42016i) q^{21} -0.727250 q^{22} +(1.82495 + 4.43504i) q^{23} +(-1.71318 + 0.254958i) q^{24} +(4.76216 - 1.52374i) q^{25} +(-1.34257 - 0.613130i) q^{26} +(3.87616 - 3.46054i) q^{27} +(-2.13892 + 2.46844i) q^{28} +(-1.91557 + 6.52384i) q^{29} +(3.87243 - 0.0657391i) q^{30} +(-1.61915 - 3.54544i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(1.14837 + 0.517608i) q^{33} +(-1.71414 - 0.246456i) q^{34} +(5.46163 - 4.84886i) q^{35} +(2.88668 + 0.816734i) q^{36} +(7.28503 + 8.40738i) q^{37} +(-5.36407 + 2.44969i) q^{38} +(1.68361 + 1.92372i) q^{39} +(1.23147 + 1.86641i) q^{40} +(-0.240142 - 0.208084i) q^{41} +(5.13435 - 2.37549i) q^{42} +(3.85328 - 8.43752i) q^{43} +(0.103499 + 0.719848i) q^{44} +(-6.16159 - 2.65233i) q^{45} +(4.13018 - 2.43755i) q^{46} +0.296017 q^{47} +(0.496174 + 1.65946i) q^{48} +(1.52381 - 3.33668i) q^{49} +(-2.18596 - 4.49684i) q^{50} +(2.53133 + 1.60918i) q^{51} +(-0.415822 + 1.41616i) q^{52} +(-1.32976 - 2.06915i) q^{53} +(-3.97696 - 3.34422i) q^{54} +(-0.0195746 - 1.62606i) q^{55} +(2.74772 + 1.76585i) q^{56} +(10.2137 - 0.0504267i) q^{57} +(6.73005 + 0.967635i) q^{58} +(4.64023 - 7.22033i) q^{59} +(-0.616174 - 3.82365i) q^{60} +(4.22497 - 1.92948i) q^{61} +(-3.27893 + 2.10724i) q^{62} +(-9.79817 + 0.0967525i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(1.33477 - 3.01836i) q^{65} +(0.348909 - 1.21035i) q^{66} +(0.0578385 + 0.402276i) q^{67} +1.73177i q^{68} +(-8.25669 + 0.909463i) q^{69} +(-5.57677 - 4.71598i) q^{70} +(7.98308 - 1.14779i) q^{71} +(0.397603 - 2.97354i) q^{72} +(0.808166 + 2.75236i) q^{73} +(7.28503 - 8.40738i) q^{74} +(0.251217 + 8.65661i) q^{75} +(3.18814 + 4.96084i) q^{76} +(-0.986759 - 2.16070i) q^{77} +(1.66454 - 1.94025i) q^{78} +(-1.78670 + 2.78017i) q^{79} +(1.67216 - 1.48455i) q^{80} +(3.89967 + 8.11126i) q^{81} +(-0.171790 + 0.267311i) q^{82} +(-11.9849 + 10.3850i) q^{83} +(-3.08200 - 4.74403i) q^{84} +(0.504916 - 3.83929i) q^{85} +(-8.90001 - 2.61328i) q^{86} +(-9.93847 - 6.31795i) q^{87} +(0.697792 - 0.204890i) q^{88} +(3.56233 - 7.80041i) q^{89} +(-1.74844 + 6.47634i) q^{90} -4.82076i q^{91} +(-3.00053 - 3.74124i) q^{92} +(6.67742 - 0.993741i) q^{93} +(-0.0421276 - 0.293004i) q^{94} +(-5.62165 - 11.9276i) q^{95} +(1.57196 - 0.727290i) q^{96} +(-8.74637 + 10.0938i) q^{97} +(-3.51958 - 1.03344i) q^{98} +(-1.41239 + 1.66288i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −0.479764 + 1.66428i −0.276992 + 0.960872i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 2.20932 0.344845i 0.988037 0.154219i
\(6\) 1.71562 + 0.238029i 0.700398 + 0.0971750i
\(7\) 2.74772 1.76585i 1.03854 0.667429i 0.0939141 0.995580i \(-0.470062\pi\)
0.944625 + 0.328152i \(0.106426\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) −2.53965 1.59692i −0.846551 0.532308i
\(10\) −0.655753 2.13775i −0.207367 0.676017i
\(11\) 0.103499 0.719848i 0.0312060 0.217042i −0.968251 0.249978i \(-0.919577\pi\)
0.999457 + 0.0329357i \(0.0104857\pi\)
\(12\) −0.00855129 1.73203i −0.00246855 0.499994i
\(13\) 0.797957 1.24165i 0.221313 0.344370i −0.712787 0.701380i \(-0.752567\pi\)
0.934101 + 0.357010i \(0.116204\pi\)
\(14\) −2.13892 2.46844i −0.571650 0.659719i
\(15\) −0.486034 + 3.84237i −0.125493 + 0.992094i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) 0.487896 1.66162i 0.118332 0.403002i −0.878930 0.476951i \(-0.841742\pi\)
0.997262 + 0.0739488i \(0.0235601\pi\)
\(18\) −1.21924 + 2.74107i −0.287377 + 0.646076i
\(19\) −1.66137 5.65810i −0.381144 1.29806i −0.897247 0.441530i \(-0.854436\pi\)
0.516103 0.856527i \(-0.327382\pi\)
\(20\) −2.02267 + 0.953313i −0.452283 + 0.213167i
\(21\) 1.62061 + 5.42016i 0.353647 + 1.18278i
\(22\) −0.727250 −0.155050
\(23\) 1.82495 + 4.43504i 0.380529 + 0.924769i
\(24\) −1.71318 + 0.254958i −0.349702 + 0.0520430i
\(25\) 4.76216 1.52374i 0.952433 0.304748i
\(26\) −1.34257 0.613130i −0.263299 0.120245i
\(27\) 3.87616 3.46054i 0.745968 0.665982i
\(28\) −2.13892 + 2.46844i −0.404217 + 0.466492i
\(29\) −1.91557 + 6.52384i −0.355713 + 1.21145i 0.566271 + 0.824219i \(0.308385\pi\)
−0.921984 + 0.387228i \(0.873433\pi\)
\(30\) 3.87243 0.0657391i 0.707005 0.0120023i
\(31\) −1.61915 3.54544i −0.290808 0.636780i 0.706687 0.707527i \(-0.250189\pi\)
−0.997494 + 0.0707465i \(0.977462\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 1.14837 + 0.517608i 0.199906 + 0.0901040i
\(34\) −1.71414 0.246456i −0.293973 0.0422669i
\(35\) 5.46163 4.84886i 0.923184 0.819607i
\(36\) 2.88668 + 0.816734i 0.481114 + 0.136122i
\(37\) 7.28503 + 8.40738i 1.19765 + 1.38216i 0.904707 + 0.426035i \(0.140090\pi\)
0.292945 + 0.956129i \(0.405365\pi\)
\(38\) −5.36407 + 2.44969i −0.870167 + 0.397392i
\(39\) 1.68361 + 1.92372i 0.269594 + 0.308042i
\(40\) 1.23147 + 1.86641i 0.194712 + 0.295106i
\(41\) −0.240142 0.208084i −0.0375038 0.0324973i 0.635907 0.771766i \(-0.280626\pi\)
−0.673411 + 0.739268i \(0.735172\pi\)
\(42\) 5.13435 2.37549i 0.792248 0.366545i
\(43\) 3.85328 8.43752i 0.587620 1.28671i −0.349249 0.937030i \(-0.613563\pi\)
0.936870 0.349679i \(-0.113709\pi\)
\(44\) 0.103499 + 0.719848i 0.0156030 + 0.108521i
\(45\) −6.16159 2.65233i −0.918515 0.395385i
\(46\) 4.13018 2.43755i 0.608961 0.359397i
\(47\) 0.296017 0.0431785 0.0215892 0.999767i \(-0.493127\pi\)
0.0215892 + 0.999767i \(0.493127\pi\)
\(48\) 0.496174 + 1.65946i 0.0716166 + 0.239523i
\(49\) 1.52381 3.33668i 0.217688 0.476669i
\(50\) −2.18596 4.49684i −0.309141 0.635949i
\(51\) 2.53133 + 1.60918i 0.354456 + 0.225330i
\(52\) −0.415822 + 1.41616i −0.0576642 + 0.196386i
\(53\) −1.32976 2.06915i −0.182656 0.284219i 0.737835 0.674981i \(-0.235848\pi\)
−0.920492 + 0.390762i \(0.872212\pi\)
\(54\) −3.97696 3.34422i −0.541195 0.455091i
\(55\) −0.0195746 1.62606i −0.00263944 0.219258i
\(56\) 2.74772 + 1.76585i 0.367179 + 0.235972i
\(57\) 10.2137 0.0504267i 1.35284 0.00667918i
\(58\) 6.73005 + 0.967635i 0.883699 + 0.127057i
\(59\) 4.64023 7.22033i 0.604106 0.940008i −0.395660 0.918397i \(-0.629484\pi\)
0.999766 0.0216106i \(-0.00687940\pi\)
\(60\) −0.616174 3.82365i −0.0795477 0.493632i
\(61\) 4.22497 1.92948i 0.540953 0.247045i −0.126149 0.992011i \(-0.540262\pi\)
0.667102 + 0.744966i \(0.267535\pi\)
\(62\) −3.27893 + 2.10724i −0.416424 + 0.267619i
\(63\) −9.79817 + 0.0967525i −1.23445 + 0.0121897i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) 1.33477 3.01836i 0.165557 0.374381i
\(66\) 0.348909 1.21035i 0.0429477 0.148984i
\(67\) 0.0578385 + 0.402276i 0.00706610 + 0.0491458i 0.993049 0.117698i \(-0.0375515\pi\)
−0.985983 + 0.166844i \(0.946642\pi\)
\(68\) 1.73177i 0.210008i
\(69\) −8.25669 + 0.909463i −0.993988 + 0.109486i
\(70\) −5.57677 4.71598i −0.666552 0.563667i
\(71\) 7.98308 1.14779i 0.947417 0.136218i 0.348750 0.937216i \(-0.386606\pi\)
0.598667 + 0.800998i \(0.295697\pi\)
\(72\) 0.397603 2.97354i 0.0468580 0.350434i
\(73\) 0.808166 + 2.75236i 0.0945887 + 0.322140i 0.993171 0.116665i \(-0.0372203\pi\)
−0.898583 + 0.438804i \(0.855402\pi\)
\(74\) 7.28503 8.40738i 0.846868 0.977337i
\(75\) 0.251217 + 8.65661i 0.0290080 + 0.999579i
\(76\) 3.18814 + 4.96084i 0.365705 + 0.569048i
\(77\) −0.986759 2.16070i −0.112452 0.246235i
\(78\) 1.66454 1.94025i 0.188472 0.219690i
\(79\) −1.78670 + 2.78017i −0.201020 + 0.312793i −0.927098 0.374819i \(-0.877705\pi\)
0.726078 + 0.687612i \(0.241341\pi\)
\(80\) 1.67216 1.48455i 0.186953 0.165978i
\(81\) 3.89967 + 8.11126i 0.433297 + 0.901251i
\(82\) −0.171790 + 0.267311i −0.0189711 + 0.0295196i
\(83\) −11.9849 + 10.3850i −1.31552 + 1.13990i −0.335272 + 0.942122i \(0.608828\pi\)
−0.980246 + 0.197781i \(0.936626\pi\)
\(84\) −3.08200 4.74403i −0.336274 0.517616i
\(85\) 0.504916 3.83929i 0.0547658 0.416430i
\(86\) −8.90001 2.61328i −0.959713 0.281797i
\(87\) −9.93847 6.31795i −1.06552 0.677356i
\(88\) 0.697792 0.204890i 0.0743848 0.0218414i
\(89\) 3.56233 7.80041i 0.377606 0.826841i −0.621452 0.783452i \(-0.713457\pi\)
0.999058 0.0433895i \(-0.0138156\pi\)
\(90\) −1.74844 + 6.47634i −0.184302 + 0.682666i
\(91\) 4.82076i 0.505353i
\(92\) −3.00053 3.74124i −0.312826 0.390051i
\(93\) 6.67742 0.993741i 0.692416 0.103046i
\(94\) −0.0421276 0.293004i −0.00434513 0.0302210i
\(95\) −5.62165 11.9276i −0.576769 1.22375i
\(96\) 1.57196 0.727290i 0.160437 0.0742287i
\(97\) −8.74637 + 10.0938i −0.888059 + 1.02487i 0.111457 + 0.993769i \(0.464448\pi\)
−0.999516 + 0.0311057i \(0.990097\pi\)
\(98\) −3.51958 1.03344i −0.355532 0.104394i
\(99\) −1.41239 + 1.66288i −0.141951 + 0.167126i
\(100\) −4.13998 + 2.80368i −0.413998 + 0.280368i
\(101\) −4.21978 + 3.65646i −0.419884 + 0.363831i −0.839028 0.544088i \(-0.816876\pi\)
0.419144 + 0.907920i \(0.362330\pi\)
\(102\) 1.23256 2.73457i 0.122041 0.270763i
\(103\) −2.60682 + 18.1308i −0.256857 + 1.78648i 0.298030 + 0.954557i \(0.403671\pi\)
−0.554887 + 0.831926i \(0.687239\pi\)
\(104\) 1.46092 + 0.210049i 0.143255 + 0.0205970i
\(105\) 5.44956 + 11.4160i 0.531822 + 1.11409i
\(106\) −1.85884 + 1.61069i −0.180547 + 0.156444i
\(107\) −9.34180 + 4.26626i −0.903106 + 0.412435i −0.812169 0.583422i \(-0.801713\pi\)
−0.0909369 + 0.995857i \(0.528986\pi\)
\(108\) −2.74420 + 4.41241i −0.264061 + 0.424584i
\(109\) −3.44409 + 11.7295i −0.329884 + 1.12348i 0.612922 + 0.790143i \(0.289994\pi\)
−0.942807 + 0.333340i \(0.891824\pi\)
\(110\) −1.60673 + 0.250788i −0.153195 + 0.0239117i
\(111\) −17.4873 + 8.09077i −1.65982 + 0.767942i
\(112\) 1.35684 2.97106i 0.128209 0.280738i
\(113\) −9.35371 + 1.34486i −0.879923 + 0.126514i −0.567445 0.823411i \(-0.692068\pi\)
−0.312478 + 0.949925i \(0.601159\pi\)
\(114\) −1.50348 10.1026i −0.140814 0.946194i
\(115\) 5.56130 + 9.16907i 0.518594 + 0.855021i
\(116\) 6.79926i 0.631295i
\(117\) −4.00935 + 1.87907i −0.370664 + 0.173720i
\(118\) −7.80722 3.56544i −0.718712 0.328225i
\(119\) −1.59357 5.42721i −0.146083 0.497512i
\(120\) −3.69704 + 1.15406i −0.337492 + 0.105351i
\(121\) 10.0470 + 2.95005i 0.913359 + 0.268187i
\(122\) −2.51112 3.90738i −0.227346 0.353757i
\(123\) 0.461521 0.299832i 0.0416140 0.0270349i
\(124\) 2.55243 + 2.94566i 0.229215 + 0.264528i
\(125\) 9.99568 5.00864i 0.894041 0.447986i
\(126\) 1.49019 + 9.68467i 0.132757 + 0.862779i
\(127\) −11.0052 1.58231i −0.976553 0.140407i −0.364482 0.931210i \(-0.618754\pi\)
−0.612070 + 0.790803i \(0.709663\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 12.1937 + 10.4610i 1.07360 + 0.921036i
\(130\) −3.17759 0.891622i −0.278693 0.0782004i
\(131\) −7.01612 10.9173i −0.613001 0.953848i −0.999502 0.0315591i \(-0.989953\pi\)
0.386501 0.922289i \(-0.373684\pi\)
\(132\) −1.24768 0.173107i −0.108597 0.0150670i
\(133\) −14.5563 12.6131i −1.26219 1.09370i
\(134\) 0.389950 0.114500i 0.0336866 0.00989126i
\(135\) 7.37032 8.98211i 0.634336 0.773057i
\(136\) 1.71414 0.246456i 0.146986 0.0211335i
\(137\) 2.34987i 0.200763i 0.994949 + 0.100382i \(0.0320064\pi\)
−0.994949 + 0.100382i \(0.967994\pi\)
\(138\) 2.07526 + 8.04322i 0.176657 + 0.684684i
\(139\) 0.917075 0.0777853 0.0388926 0.999243i \(-0.487617\pi\)
0.0388926 + 0.999243i \(0.487617\pi\)
\(140\) −3.87432 + 6.19116i −0.327440 + 0.523249i
\(141\) −0.142018 + 0.492655i −0.0119601 + 0.0414890i
\(142\) −2.27222 7.73848i −0.190681 0.649398i
\(143\) −0.811209 0.702916i −0.0678367 0.0587808i
\(144\) −2.99985 + 0.0296222i −0.249988 + 0.00246852i
\(145\) −1.98240 + 15.0738i −0.164629 + 1.25181i
\(146\) 2.60933 1.19164i 0.215950 0.0986210i
\(147\) 4.82211 + 4.13687i 0.397721 + 0.341204i
\(148\) −9.35857 6.01439i −0.769270 0.494380i
\(149\) −1.45041 + 10.0879i −0.118823 + 0.826429i 0.840033 + 0.542535i \(0.182535\pi\)
−0.958856 + 0.283894i \(0.908374\pi\)
\(150\) 8.53275 1.48062i 0.696696 0.120892i
\(151\) −17.7643 11.4164i −1.44564 0.929054i −0.999417 0.0341294i \(-0.989134\pi\)
−0.446218 0.894924i \(-0.647229\pi\)
\(152\) 4.45663 3.86169i 0.361480 0.313225i
\(153\) −3.89257 + 3.44081i −0.314695 + 0.278173i
\(154\) −1.99828 + 1.28422i −0.161026 + 0.103485i
\(155\) −4.79984 7.27465i −0.385533 0.584314i
\(156\) −2.15739 1.37147i −0.172729 0.109805i
\(157\) 15.3988 4.52150i 1.22896 0.360855i 0.398103 0.917341i \(-0.369669\pi\)
0.830857 + 0.556485i \(0.187851\pi\)
\(158\) 3.00614 + 1.37286i 0.239156 + 0.109219i
\(159\) 4.08161 1.22039i 0.323692 0.0967831i
\(160\) −1.70741 1.44387i −0.134983 0.114148i
\(161\) 12.8461 + 8.96362i 1.01241 + 0.706432i
\(162\) 7.47372 5.01433i 0.587191 0.393963i
\(163\) 14.5365 2.09003i 1.13859 0.163704i 0.452872 0.891575i \(-0.350399\pi\)
0.685714 + 0.727871i \(0.259490\pi\)
\(164\) 0.289038 + 0.131999i 0.0225701 + 0.0103074i
\(165\) 2.71562 + 0.747549i 0.211410 + 0.0581966i
\(166\) 11.9849 + 10.3850i 0.930212 + 0.806033i
\(167\) 4.12542 + 1.21133i 0.319234 + 0.0937357i 0.437424 0.899255i \(-0.355891\pi\)
−0.118190 + 0.992991i \(0.537709\pi\)
\(168\) −4.25712 + 3.72578i −0.328444 + 0.287450i
\(169\) 4.49545 + 9.84366i 0.345804 + 0.757204i
\(170\) −3.87207 + 0.0466122i −0.296974 + 0.00357499i
\(171\) −4.81625 + 17.0227i −0.368308 + 1.30176i
\(172\) −1.32008 + 9.18133i −0.100655 + 0.700070i
\(173\) 2.27457 15.8200i 0.172932 1.20277i −0.699716 0.714421i \(-0.746690\pi\)
0.872648 0.488349i \(-0.162401\pi\)
\(174\) −4.83925 + 10.7364i −0.366863 + 0.813928i
\(175\) 10.3944 12.5961i 0.785741 0.952174i
\(176\) −0.302111 0.661530i −0.0227725 0.0498647i
\(177\) 9.79044 + 11.1867i 0.735895 + 0.840843i
\(178\) −8.22798 2.41595i −0.616713 0.181083i
\(179\) −13.3592 11.5758i −0.998511 0.865215i −0.00763206 0.999971i \(-0.502429\pi\)
−0.990879 + 0.134756i \(0.956975\pi\)
\(180\) 6.65925 + 0.808967i 0.496351 + 0.0602969i
\(181\) −18.4414 8.42192i −1.37074 0.625997i −0.412238 0.911076i \(-0.635253\pi\)
−0.958504 + 0.285080i \(0.907980\pi\)
\(182\) −4.77169 + 0.686066i −0.353701 + 0.0508546i
\(183\) 1.18420 + 7.95724i 0.0875389 + 0.588216i
\(184\) −3.27614 + 3.50242i −0.241520 + 0.258202i
\(185\) 18.9942 + 16.0624i 1.39648 + 1.18093i
\(186\) −1.93392 6.46803i −0.141802 0.474259i
\(187\) −1.14562 0.523186i −0.0837758 0.0382591i
\(188\) −0.284026 + 0.0833976i −0.0207147 + 0.00608239i
\(189\) 4.53979 16.3533i 0.330221 1.18953i
\(190\) −11.0062 + 7.26191i −0.798471 + 0.526834i
\(191\) −0.401041 + 0.257733i −0.0290183 + 0.0186489i −0.555070 0.831804i \(-0.687308\pi\)
0.526051 + 0.850453i \(0.323672\pi\)
\(192\) −0.943600 1.45245i −0.0680984 0.104822i
\(193\) −2.50162 + 2.16767i −0.180070 + 0.156032i −0.740232 0.672351i \(-0.765284\pi\)
0.560162 + 0.828383i \(0.310739\pi\)
\(194\) 11.2358 + 7.22084i 0.806687 + 0.518426i
\(195\) 4.38302 + 3.66952i 0.313875 + 0.262780i
\(196\) −0.522035 + 3.63083i −0.0372882 + 0.259345i
\(197\) 2.16157 + 1.38916i 0.154006 + 0.0989735i 0.615374 0.788235i \(-0.289005\pi\)
−0.461368 + 0.887209i \(0.652641\pi\)
\(198\) 1.84696 + 1.16136i 0.131258 + 0.0825345i
\(199\) 8.19677 3.74334i 0.581053 0.265358i −0.103130 0.994668i \(-0.532886\pi\)
0.684184 + 0.729310i \(0.260159\pi\)
\(200\) 3.36432 + 3.69883i 0.237893 + 0.261547i
\(201\) −0.697248 0.0967381i −0.0491801 0.00682338i
\(202\) 4.21978 + 3.65646i 0.296903 + 0.257268i
\(203\) 6.25667 + 21.3083i 0.439132 + 1.49555i
\(204\) −2.88215 0.830841i −0.201791 0.0581705i
\(205\) −0.602306 0.376912i −0.0420669 0.0263247i
\(206\) 18.3173 1.27622
\(207\) 2.44766 14.1778i 0.170124 0.985423i
\(208\) 1.47595i 0.102338i
\(209\) −4.24492 + 0.610327i −0.293627 + 0.0422172i
\(210\) 10.5242 7.01875i 0.726242 0.484340i
\(211\) −15.4355 + 4.53227i −1.06262 + 0.312014i −0.765907 0.642951i \(-0.777710\pi\)
−0.296716 + 0.954966i \(0.595892\pi\)
\(212\) 1.85884 + 1.61069i 0.127666 + 0.110623i
\(213\) −1.91975 + 13.8367i −0.131539 + 0.948078i
\(214\) 5.55231 + 8.63957i 0.379548 + 0.590589i
\(215\) 5.60350 19.9699i 0.382155 1.36194i
\(216\) 4.75804 + 2.08832i 0.323743 + 0.142092i
\(217\) −10.7097 6.88270i −0.727021 0.467228i
\(218\) 12.1003 + 1.73975i 0.819533 + 0.117831i
\(219\) −4.96843 + 0.0245299i −0.335735 + 0.00165758i
\(220\) 0.476897 + 1.55468i 0.0321524 + 0.104817i
\(221\) −1.67382 1.93169i −0.112594 0.129940i
\(222\) 10.4971 + 16.1579i 0.704521 + 1.08445i
\(223\) −1.88085 2.92665i −0.125951 0.195983i 0.772551 0.634952i \(-0.218980\pi\)
−0.898502 + 0.438969i \(0.855344\pi\)
\(224\) −3.13391 0.920200i −0.209393 0.0614834i
\(225\) −14.5275 3.73504i −0.968503 0.249002i
\(226\) 2.66234 + 9.06711i 0.177097 + 0.603135i
\(227\) −18.4257 8.41476i −1.22296 0.558507i −0.303930 0.952695i \(-0.598299\pi\)
−0.919030 + 0.394188i \(0.871026\pi\)
\(228\) −9.78579 + 2.92592i −0.648080 + 0.193774i
\(229\) 9.44144i 0.623908i 0.950097 + 0.311954i \(0.100983\pi\)
−0.950097 + 0.311954i \(0.899017\pi\)
\(230\) 8.28429 6.80959i 0.546250 0.449011i
\(231\) 4.06942 0.605616i 0.267748 0.0398466i
\(232\) −6.73005 + 0.967635i −0.441850 + 0.0635284i
\(233\) −4.97061 + 10.8841i −0.325636 + 0.713042i −0.999671 0.0256568i \(-0.991832\pi\)
0.674035 + 0.738699i \(0.264560\pi\)
\(234\) 2.43053 + 3.70112i 0.158889 + 0.241950i
\(235\) 0.653995 0.102080i 0.0426619 0.00665895i
\(236\) −2.41806 + 8.23516i −0.157402 + 0.536063i
\(237\) −3.76978 4.30740i −0.244873 0.279796i
\(238\) −5.14518 + 2.34973i −0.333513 + 0.152310i
\(239\) −15.5939 + 13.5122i −1.00869 + 0.874034i −0.992052 0.125828i \(-0.959841\pi\)
−0.0166366 + 0.999862i \(0.505296\pi\)
\(240\) 1.66846 + 3.49517i 0.107699 + 0.225612i
\(241\) −9.29277 1.33610i −0.598600 0.0860657i −0.163647 0.986519i \(-0.552326\pi\)
−0.434953 + 0.900453i \(0.643235\pi\)
\(242\) 1.49019 10.3645i 0.0957933 0.666257i
\(243\) −15.3703 + 2.59865i −0.986007 + 0.166703i
\(244\) −3.51024 + 3.04164i −0.224720 + 0.194721i
\(245\) 2.21595 7.89727i 0.141572 0.504538i
\(246\) −0.362461 0.414153i −0.0231097 0.0264054i
\(247\) −8.35105 2.45209i −0.531365 0.156023i
\(248\) 2.55243 2.94566i 0.162079 0.187050i
\(249\) −11.5336 24.9286i −0.730913 1.57979i
\(250\) −6.38019 9.18113i −0.403519 0.580666i
\(251\) −3.51524 24.4491i −0.221880 1.54321i −0.730917 0.682466i \(-0.760908\pi\)
0.509037 0.860745i \(-0.330002\pi\)
\(252\) 9.37402 2.85330i 0.590508 0.179741i
\(253\) 3.38143 0.854670i 0.212589 0.0537327i
\(254\) 11.1184i 0.697628i
\(255\) 6.14742 + 2.68228i 0.384966 + 0.167971i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 1.94338 0.570628i 0.121225 0.0355948i −0.220557 0.975374i \(-0.570788\pi\)
0.341782 + 0.939779i \(0.388969\pi\)
\(258\) 8.61914 13.5584i 0.536604 0.844106i
\(259\) 34.8634 + 10.2368i 2.16630 + 0.636084i
\(260\) −0.430328 + 3.27214i −0.0266878 + 0.202930i
\(261\) 15.2830 13.5093i 0.945992 0.836203i
\(262\) −9.80767 + 8.49840i −0.605920 + 0.525033i
\(263\) −10.8582 + 16.8957i −0.669547 + 1.04184i 0.325796 + 0.945440i \(0.394368\pi\)
−0.995343 + 0.0963952i \(0.969269\pi\)
\(264\) 0.00621893 + 1.25962i 0.000382749 + 0.0775242i
\(265\) −3.65139 4.11284i −0.224303 0.252650i
\(266\) −10.4132 + 16.2032i −0.638472 + 0.993481i
\(267\) 11.2730 + 9.67106i 0.689895 + 0.591859i
\(268\) −0.168830 0.369686i −0.0103129 0.0225822i
\(269\) 7.98286 + 12.4216i 0.486723 + 0.757356i 0.994568 0.104093i \(-0.0331938\pi\)
−0.507844 + 0.861449i \(0.669557\pi\)
\(270\) −9.93960 6.01701i −0.604905 0.366184i
\(271\) −5.87144 + 6.77600i −0.356664 + 0.411613i −0.905519 0.424305i \(-0.860518\pi\)
0.548855 + 0.835918i \(0.315064\pi\)
\(272\) −0.487896 1.66162i −0.0295830 0.100751i
\(273\) 8.02310 + 2.31283i 0.485580 + 0.139979i
\(274\) 2.32595 0.334422i 0.140516 0.0202032i
\(275\) −0.603986 3.58574i −0.0364217 0.216228i
\(276\) 7.66601 3.19880i 0.461439 0.192545i
\(277\) 32.6649i 1.96264i −0.192377 0.981321i \(-0.561620\pi\)
0.192377 0.981321i \(-0.438380\pi\)
\(278\) −0.130513 0.907741i −0.00782767 0.0544427i
\(279\) −1.54972 + 11.5899i −0.0927796 + 0.693866i
\(280\) 6.67952 + 2.95379i 0.399178 + 0.176523i
\(281\) −3.24036 + 3.73957i −0.193304 + 0.223084i −0.844125 0.536147i \(-0.819879\pi\)
0.650821 + 0.759231i \(0.274425\pi\)
\(282\) 0.507851 + 0.0704607i 0.0302421 + 0.00419587i
\(283\) 7.79627 5.01036i 0.463440 0.297835i −0.288007 0.957628i \(-0.592993\pi\)
0.751447 + 0.659793i \(0.229356\pi\)
\(284\) −7.33634 + 3.35039i −0.435332 + 0.198809i
\(285\) 22.5480 3.63355i 1.33563 0.215233i
\(286\) −0.580315 + 0.902987i −0.0343147 + 0.0533948i
\(287\) −1.02729 0.147702i −0.0606388 0.00871854i
\(288\) 0.456244 + 2.96510i 0.0268845 + 0.174720i
\(289\) 11.7784 + 7.56950i 0.692845 + 0.445265i
\(290\) 15.2025 0.183009i 0.892722 0.0107466i
\(291\) −12.6028 19.3991i −0.738789 1.13719i
\(292\) −1.55086 2.41319i −0.0907572 0.141221i
\(293\) −6.42750 + 21.8900i −0.375498 + 1.27883i 0.527636 + 0.849471i \(0.323079\pi\)
−0.903134 + 0.429359i \(0.858740\pi\)
\(294\) 3.40851 5.36176i 0.198788 0.312704i
\(295\) 7.76184 17.5522i 0.451912 1.02193i
\(296\) −4.62131 + 10.1192i −0.268608 + 0.588169i
\(297\) −2.08989 3.14841i −0.121268 0.182689i
\(298\) 10.1916 0.590383
\(299\) 6.96298 + 1.27302i 0.402679 + 0.0736207i
\(300\) −2.67989 8.23518i −0.154723 0.475458i
\(301\) −4.31165 29.9882i −0.248520 1.72849i
\(302\) −8.77208 + 19.2082i −0.504776 + 1.10531i
\(303\) −4.06087 8.77713i −0.233291 0.504233i
\(304\) −4.45663 3.86169i −0.255605 0.221483i
\(305\) 8.66894 5.71980i 0.496382 0.327515i
\(306\) 3.95975 + 3.36327i 0.226364 + 0.192265i
\(307\) 16.0568 7.33288i 0.916408 0.418509i 0.0993417 0.995053i \(-0.468326\pi\)
0.817066 + 0.576544i \(0.195599\pi\)
\(308\) 1.55553 + 1.79518i 0.0886344 + 0.102290i
\(309\) −28.9241 13.0370i −1.64543 0.741648i
\(310\) −6.51752 + 5.78628i −0.370170 + 0.328638i
\(311\) 22.4582 + 3.22901i 1.27349 + 0.183100i 0.745704 0.666277i \(-0.232113\pi\)
0.527786 + 0.849377i \(0.323022\pi\)
\(312\) −1.05048 + 2.33061i −0.0594717 + 0.131945i
\(313\) 6.80241 + 7.85039i 0.384495 + 0.443731i 0.914697 0.404141i \(-0.132429\pi\)
−0.530202 + 0.847871i \(0.677884\pi\)
\(314\) −6.66696 14.5986i −0.376238 0.823847i
\(315\) −21.6139 + 3.59260i −1.21781 + 0.202420i
\(316\) 0.931067 3.17092i 0.0523766 0.178378i
\(317\) −1.99686 + 2.30450i −0.112155 + 0.129434i −0.809051 0.587738i \(-0.800018\pi\)
0.696896 + 0.717172i \(0.254564\pi\)
\(318\) −1.78884 3.86638i −0.100313 0.216816i
\(319\) 4.49791 + 2.05413i 0.251835 + 0.115009i
\(320\) −1.18618 + 1.89552i −0.0663094 + 0.105963i
\(321\) −2.61838 17.5942i −0.146144 0.982011i
\(322\) 7.04420 13.9910i 0.392558 0.779686i
\(323\) −10.2122 −0.568221
\(324\) −6.02691 6.68404i −0.334828 0.371335i
\(325\) 1.90806 7.12880i 0.105840 0.395435i
\(326\) −4.13752 14.0911i −0.229156 0.780433i
\(327\) −17.8688 11.3593i −0.988148 0.628172i
\(328\) 0.0895214 0.304882i 0.00494299 0.0168343i
\(329\) 0.813370 0.522721i 0.0448425 0.0288186i
\(330\) 0.353468 2.79436i 0.0194578 0.153825i
\(331\) −20.2113 23.3251i −1.11091 1.28206i −0.955753 0.294172i \(-0.904956\pi\)
−0.155160 0.987889i \(-0.549589\pi\)
\(332\) 8.57367 13.3409i 0.470541 0.732176i
\(333\) −5.07551 32.9855i −0.278136 1.80759i
\(334\) 0.611894 4.25582i 0.0334814 0.232868i
\(335\) 0.266506 + 0.868810i 0.0145608 + 0.0474681i
\(336\) 4.29370 + 3.68356i 0.234241 + 0.200955i
\(337\) 6.43537 + 14.0915i 0.350557 + 0.767613i 0.999974 + 0.00718065i \(0.00228569\pi\)
−0.649417 + 0.760432i \(0.724987\pi\)
\(338\) 9.10369 5.85059i 0.495176 0.318230i
\(339\) 2.24935 16.2124i 0.122168 0.880537i
\(340\) 0.597191 + 3.82603i 0.0323872 + 0.207495i
\(341\) −2.71976 + 0.798593i −0.147283 + 0.0432463i
\(342\) 17.5348 + 2.34465i 0.948175 + 0.126784i
\(343\) 1.54874 + 10.7717i 0.0836240 + 0.581618i
\(344\) 9.27575 0.500115
\(345\) −17.9280 + 4.85657i −0.965212 + 0.261469i
\(346\) −15.9827 −0.859233
\(347\) 3.43226 + 23.8719i 0.184254 + 1.28151i 0.846566 + 0.532284i \(0.178666\pi\)
−0.662312 + 0.749228i \(0.730425\pi\)
\(348\) 11.3159 + 3.26204i 0.606594 + 0.174864i
\(349\) −4.83714 + 1.42031i −0.258926 + 0.0760276i −0.408619 0.912705i \(-0.633990\pi\)
0.149693 + 0.988733i \(0.452171\pi\)
\(350\) −13.9471 8.49597i −0.745506 0.454129i
\(351\) −1.20376 7.57419i −0.0642519 0.404280i
\(352\) −0.611802 + 0.393181i −0.0326092 + 0.0209566i
\(353\) −6.56143 14.3675i −0.349230 0.764707i −0.999985 0.00541925i \(-0.998275\pi\)
0.650756 0.759287i \(-0.274452\pi\)
\(354\) 9.67950 11.2828i 0.514460 0.599675i
\(355\) 17.2413 5.28876i 0.915076 0.280698i
\(356\) −1.22040 + 8.48806i −0.0646810 + 0.449866i
\(357\) 9.79693 0.0483690i 0.518509 0.00255996i
\(358\) −9.55675 + 14.8706i −0.505090 + 0.785935i
\(359\) −1.03639 1.19605i −0.0546984 0.0631254i 0.727741 0.685852i \(-0.240570\pi\)
−0.782439 + 0.622727i \(0.786025\pi\)
\(360\) −0.146976 6.70659i −0.00774633 0.353469i
\(361\) −13.2701 + 8.52818i −0.698427 + 0.448852i
\(362\) −5.71171 + 19.4523i −0.300201 + 1.02239i
\(363\) −9.72988 + 15.3056i −0.510686 + 0.803336i
\(364\) 1.35817 + 4.62549i 0.0711872 + 0.242441i
\(365\) 2.73463 + 5.80215i 0.143137 + 0.303698i
\(366\) 7.70771 2.30458i 0.402889 0.120463i
\(367\) 34.0866 1.77931 0.889653 0.456637i \(-0.150946\pi\)
0.889653 + 0.456637i \(0.150946\pi\)
\(368\) 3.93301 + 2.74434i 0.205022 + 0.143059i
\(369\) 0.277582 + 0.911949i 0.0144504 + 0.0474742i
\(370\) 13.1957 21.0868i 0.686012 1.09625i
\(371\) −7.30760 3.33727i −0.379392 0.173262i
\(372\) −6.12697 + 2.83473i −0.317668 + 0.146974i
\(373\) −7.49073 + 8.64477i −0.387855 + 0.447609i −0.915779 0.401683i \(-0.868425\pi\)
0.527923 + 0.849292i \(0.322971\pi\)
\(374\) −0.354822 + 1.20841i −0.0183474 + 0.0624856i
\(375\) 3.54020 + 19.0386i 0.182815 + 0.983147i
\(376\) 0.122970 + 0.269266i 0.00634168 + 0.0138863i
\(377\) 6.57175 + 7.58421i 0.338462 + 0.390607i
\(378\) −16.8329 2.16626i −0.865793 0.111420i
\(379\) 26.4513 + 3.80312i 1.35871 + 0.195353i 0.782858 0.622200i \(-0.213761\pi\)
0.575853 + 0.817553i \(0.304670\pi\)
\(380\) 8.75433 + 9.86066i 0.449088 + 0.505841i
\(381\) 7.91330 17.5566i 0.405410 0.899451i
\(382\) 0.312184 + 0.360280i 0.0159727 + 0.0184335i
\(383\) −11.7553 + 5.36847i −0.600668 + 0.274316i −0.692453 0.721463i \(-0.743470\pi\)
0.0917849 + 0.995779i \(0.470743\pi\)
\(384\) −1.30338 + 1.14070i −0.0665129 + 0.0582111i
\(385\) −2.92517 4.43340i −0.149080 0.225947i
\(386\) 2.50162 + 2.16767i 0.127329 + 0.110331i
\(387\) −23.2601 + 15.2750i −1.18238 + 0.776470i
\(388\) 5.54831 12.1491i 0.281673 0.616778i
\(389\) −3.82143 26.5786i −0.193754 1.34759i −0.821962 0.569543i \(-0.807120\pi\)
0.628208 0.778046i \(-0.283789\pi\)
\(390\) 3.00840 4.86064i 0.152336 0.246128i
\(391\) 8.25973 0.868547i 0.417713 0.0439243i
\(392\) 3.66817 0.185271
\(393\) 21.5355 6.43905i 1.08632 0.324807i
\(394\) 1.06740 2.33727i 0.0537746 0.117750i
\(395\) −2.98867 + 6.75840i −0.150376 + 0.340052i
\(396\) 0.886692 1.99344i 0.0445580 0.100174i
\(397\) −6.70727 + 22.8429i −0.336628 + 1.14645i 0.601127 + 0.799154i \(0.294719\pi\)
−0.937755 + 0.347297i \(0.887099\pi\)
\(398\) −4.87176 7.58060i −0.244199 0.379981i
\(399\) 27.9754 18.1745i 1.40052 0.909861i
\(400\) 3.18239 3.85647i 0.159120 0.192824i
\(401\) −27.8844 17.9202i −1.39248 0.894893i −0.392787 0.919629i \(-0.628489\pi\)
−0.999694 + 0.0247360i \(0.992125\pi\)
\(402\) 0.00347535 + 0.703919i 0.000173335 + 0.0351083i
\(403\) −5.69419 0.818702i −0.283648 0.0407824i
\(404\) 3.01870 4.69720i 0.150186 0.233694i
\(405\) 11.4127 + 16.5756i 0.567103 + 0.823647i
\(406\) 20.2010 9.22547i 1.00256 0.457853i
\(407\) 6.80602 4.37397i 0.337362 0.216809i
\(408\) −0.412212 + 2.97105i −0.0204075 + 0.147089i
\(409\) −0.427761 + 0.493663i −0.0211514 + 0.0244101i −0.766227 0.642570i \(-0.777868\pi\)
0.745075 + 0.666980i \(0.232414\pi\)
\(410\) −0.287359 + 0.649816i −0.0141916 + 0.0320921i
\(411\) −3.91085 1.12739i −0.192908 0.0556098i
\(412\) −2.60682 18.1308i −0.128429 0.893241i
\(413\) 28.0334i 1.37943i
\(414\) −14.3818 0.405043i −0.706827 0.0199068i
\(415\) −22.8973 + 27.0767i −1.12398 + 1.32914i
\(416\) −1.46092 + 0.210049i −0.0716277 + 0.0102985i
\(417\) −0.439980 + 1.52627i −0.0215459 + 0.0747417i
\(418\) 1.20823 + 4.11485i 0.0590965 + 0.201264i
\(419\) −17.0320 + 19.6560i −0.832069 + 0.960259i −0.999672 0.0255957i \(-0.991852\pi\)
0.167603 + 0.985855i \(0.446397\pi\)
\(420\) −8.44507 9.41825i −0.412077 0.459563i
\(421\) −1.48052 2.30373i −0.0721561 0.112277i 0.803300 0.595574i \(-0.203075\pi\)
−0.875456 + 0.483297i \(0.839439\pi\)
\(422\) 6.68284 + 14.6334i 0.325315 + 0.712342i
\(423\) −0.751780 0.472716i −0.0365528 0.0229842i
\(424\) 1.32976 2.06915i 0.0645788 0.100487i
\(425\) −0.208441 8.65633i −0.0101109 0.419894i
\(426\) 13.9691 0.0689676i 0.676806 0.00334149i
\(427\) 8.20186 12.7623i 0.396916 0.617613i
\(428\) 7.76145 6.72534i 0.375164 0.325081i
\(429\) 1.55904 1.01284i 0.0752711 0.0489006i
\(430\) −20.5641 2.70444i −0.991690 0.130420i
\(431\) −3.54845 1.04192i −0.170923 0.0501875i 0.195151 0.980773i \(-0.437480\pi\)
−0.366074 + 0.930586i \(0.619298\pi\)
\(432\) 1.38992 5.00681i 0.0668727 0.240890i
\(433\) 26.7068 7.84183i 1.28345 0.376854i 0.432276 0.901742i \(-0.357711\pi\)
0.851172 + 0.524887i \(0.175893\pi\)
\(434\) −5.28849 + 11.5802i −0.253856 + 0.555867i
\(435\) −24.1359 10.5311i −1.15723 0.504929i
\(436\) 12.2247i 0.585456i
\(437\) 22.0619 17.6940i 1.05537 0.846419i
\(438\) 0.731361 + 4.91437i 0.0349458 + 0.234818i
\(439\) 4.14197 + 28.8080i 0.197686 + 1.37493i 0.810978 + 0.585077i \(0.198936\pi\)
−0.613292 + 0.789856i \(0.710155\pi\)
\(440\) 1.47099 0.693297i 0.0701266 0.0330516i
\(441\) −9.19839 + 6.04061i −0.438018 + 0.287648i
\(442\) −1.67382 + 1.93169i −0.0796156 + 0.0918814i
\(443\) 32.1145 + 9.42968i 1.52581 + 0.448017i 0.933764 0.357889i \(-0.116503\pi\)
0.592043 + 0.805906i \(0.298321\pi\)
\(444\) 14.4995 12.6898i 0.688117 0.602231i
\(445\) 5.18038 18.4620i 0.245574 0.875184i
\(446\) −2.62919 + 2.27821i −0.124496 + 0.107876i
\(447\) −16.0932 7.25369i −0.761180 0.343088i
\(448\) −0.464831 + 3.23297i −0.0219612 + 0.152744i
\(449\) 38.0510 + 5.47090i 1.79574 + 0.258188i 0.957770 0.287534i \(-0.0928354\pi\)
0.837966 + 0.545722i \(0.183745\pi\)
\(450\) −1.62954 + 14.9112i −0.0768170 + 0.702922i
\(451\) −0.174643 + 0.151329i −0.00822363 + 0.00712581i
\(452\) 8.59593 3.92563i 0.404319 0.184646i
\(453\) 27.5227 24.0875i 1.29313 1.13173i
\(454\) −5.70685 + 19.4357i −0.267836 + 0.912164i
\(455\) −1.66241 10.6506i −0.0779352 0.499307i
\(456\) 4.28880 + 9.26978i 0.200842 + 0.434097i
\(457\) −3.10118 + 6.79064i −0.145067 + 0.317653i −0.968192 0.250207i \(-0.919501\pi\)
0.823125 + 0.567860i \(0.192229\pi\)
\(458\) 9.34534 1.34366i 0.436679 0.0627850i
\(459\) −3.85895 8.12909i −0.180120 0.379434i
\(460\) −7.91926 7.23086i −0.369237 0.337141i
\(461\) 23.1040i 1.07606i 0.842925 + 0.538030i \(0.180831\pi\)
−0.842925 + 0.538030i \(0.819169\pi\)
\(462\) −1.17859 3.94181i −0.0548330 0.183390i
\(463\) −9.46248 4.32137i −0.439759 0.200831i 0.183217 0.983073i \(-0.441349\pi\)
−0.622975 + 0.782242i \(0.714076\pi\)
\(464\) 1.91557 + 6.52384i 0.0889282 + 0.302862i
\(465\) 14.4098 4.49816i 0.668241 0.208597i
\(466\) 11.4807 + 3.37105i 0.531834 + 0.156161i
\(467\) −16.4551 25.6047i −0.761453 1.18484i −0.978007 0.208573i \(-0.933118\pi\)
0.216554 0.976271i \(-0.430518\pi\)
\(468\) 3.31754 2.93252i 0.153354 0.135556i
\(469\) 0.869283 + 1.00321i 0.0401397 + 0.0463237i
\(470\) −0.194114 0.632811i −0.00895381 0.0291894i
\(471\) 0.137239 + 27.7972i 0.00632364 + 1.28083i
\(472\) 8.49547 + 1.22146i 0.391036 + 0.0562224i
\(473\) −5.67492 3.64705i −0.260933 0.167692i
\(474\) −3.72706 + 4.34441i −0.171190 + 0.199545i
\(475\) −16.5332 24.4133i −0.758595 1.12016i
\(476\) 3.05804 + 4.75841i 0.140165 + 0.218101i
\(477\) 0.0728587 + 7.37843i 0.00333597 + 0.337835i
\(478\) 15.5939 + 13.5122i 0.713251 + 0.618035i
\(479\) 11.3558 3.33437i 0.518861 0.152351i −0.0118082 0.999930i \(-0.503759\pi\)
0.530669 + 0.847579i \(0.321941\pi\)
\(480\) 3.22215 2.14889i 0.147070 0.0980832i
\(481\) 16.2521 2.33670i 0.741033 0.106544i
\(482\) 9.38833i 0.427627i
\(483\) −21.0811 + 17.0790i −0.959221 + 0.777122i
\(484\) −10.4711 −0.475959
\(485\) −15.8427 + 25.3166i −0.719380 + 1.14957i
\(486\) 4.75962 + 14.8441i 0.215901 + 0.673340i
\(487\) 0.399122 + 1.35928i 0.0180859 + 0.0615951i 0.968042 0.250790i \(-0.0806903\pi\)
−0.949956 + 0.312385i \(0.898872\pi\)
\(488\) 3.51024 + 3.04164i 0.158901 + 0.137688i
\(489\) −3.49569 + 25.1955i −0.158081 + 1.13938i
\(490\) −8.13225 1.06949i −0.367378 0.0483148i
\(491\) −12.9167 + 5.89886i −0.582922 + 0.266212i −0.684974 0.728567i \(-0.740187\pi\)
0.102052 + 0.994779i \(0.467459\pi\)
\(492\) −0.358354 + 0.417712i −0.0161559 + 0.0188319i
\(493\) 9.90554 + 6.36591i 0.446123 + 0.286706i
\(494\) −1.23865 + 8.61502i −0.0557296 + 0.387608i
\(495\) −2.54699 + 4.16090i −0.114479 + 0.187018i
\(496\) −3.27893 2.10724i −0.147228 0.0946178i
\(497\) 19.9084 17.2507i 0.893014 0.773801i
\(498\) −23.0335 + 14.9639i −1.03216 + 0.670550i
\(499\) 27.0882 17.4085i 1.21263 0.779312i 0.231536 0.972826i \(-0.425625\pi\)
0.981098 + 0.193514i \(0.0619885\pi\)
\(500\) −8.17969 + 7.62186i −0.365807 + 0.340860i
\(501\) −3.99522 + 6.28470i −0.178493 + 0.280779i
\(502\) −23.6999 + 6.95893i −1.05778 + 0.310592i
\(503\) 36.7413 + 16.7792i 1.63821 + 0.748146i 0.999768 0.0215221i \(-0.00685123\pi\)
0.638444 + 0.769669i \(0.279579\pi\)
\(504\) −4.15832 8.87254i −0.185226 0.395214i
\(505\) −8.06192 + 9.53345i −0.358751 + 0.424233i
\(506\) −1.32720 3.22538i −0.0590012 0.143386i
\(507\) −18.5394 + 2.75905i −0.823361 + 0.122534i
\(508\) 11.0052 1.58231i 0.488276 0.0702035i
\(509\) 17.8004 + 8.12919i 0.788991 + 0.360320i 0.768811 0.639476i \(-0.220849\pi\)
0.0201799 + 0.999796i \(0.493576\pi\)
\(510\) 1.78011 6.46657i 0.0788244 0.286345i
\(511\) 7.08087 + 6.13561i 0.313239 + 0.271423i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −26.0198 16.1825i −1.14880 0.714473i
\(514\) −0.841392 1.84239i −0.0371122 0.0812644i
\(515\) 0.493027 + 40.9557i 0.0217253 + 1.80472i
\(516\) −14.6470 6.60185i −0.644797 0.290630i
\(517\) 0.0306373 0.213087i 0.00134743 0.00937156i
\(518\) 5.17104 35.9654i 0.227202 1.58023i
\(519\) 25.2376 + 11.3754i 1.10781 + 0.499324i
\(520\) 3.30008 0.0397265i 0.144718 0.00174212i
\(521\) 13.6630 + 29.9179i 0.598588 + 1.31073i 0.930111 + 0.367279i \(0.119710\pi\)
−0.331522 + 0.943447i \(0.607562\pi\)
\(522\) −15.5468 13.2048i −0.680463 0.577960i
\(523\) −25.0573 7.35747i −1.09568 0.321720i −0.316544 0.948578i \(-0.602522\pi\)
−0.779134 + 0.626858i \(0.784341\pi\)
\(524\) 9.80767 + 8.49840i 0.428450 + 0.371254i
\(525\) 15.9765 + 23.3423i 0.697274 + 1.01874i
\(526\) 18.2690 + 8.34319i 0.796568 + 0.363780i
\(527\) −6.68115 + 0.960605i −0.291036 + 0.0418446i
\(528\) 1.24591 0.185418i 0.0542214 0.00806929i
\(529\) −16.3391 + 16.1875i −0.710395 + 0.703803i
\(530\) −3.55133 + 4.19954i −0.154260 + 0.182417i
\(531\) −23.3149 + 10.9271i −1.01178 + 0.474194i
\(532\) 17.5202 + 8.00121i 0.759597 + 0.346897i
\(533\) −0.449989 + 0.132129i −0.0194912 + 0.00572313i
\(534\) 7.96831 12.5346i 0.344823 0.542424i
\(535\) −19.1678 + 12.6470i −0.828697 + 0.546777i
\(536\) −0.341896 + 0.219723i −0.0147677 + 0.00949060i
\(537\) 25.6746 16.6797i 1.10794 0.719784i
\(538\) 11.1591 9.66937i 0.481101 0.416876i
\(539\) −2.24419 1.44226i −0.0966643 0.0621224i
\(540\) −4.54122 + 10.6947i −0.195423 + 0.460228i
\(541\) −2.56904 + 17.8681i −0.110452 + 0.768209i 0.857030 + 0.515267i \(0.172307\pi\)
−0.967481 + 0.252942i \(0.918602\pi\)
\(542\) 7.54262 + 4.84735i 0.323983 + 0.208212i
\(543\) 22.8640 26.6512i 0.981187 1.14371i
\(544\) −1.57527 + 0.719403i −0.0675392 + 0.0308441i
\(545\) −3.56424 + 27.1019i −0.152675 + 1.16092i
\(546\) 1.14748 8.27058i 0.0491077 0.353948i
\(547\) 8.62440 + 7.47309i 0.368753 + 0.319526i 0.819450 0.573151i \(-0.194279\pi\)
−0.450697 + 0.892677i \(0.648825\pi\)
\(548\) −0.662036 2.25469i −0.0282808 0.0963154i
\(549\) −13.8112 1.84675i −0.589448 0.0788174i
\(550\) −3.46329 + 1.10814i −0.147675 + 0.0472513i
\(551\) 40.0950 1.70810
\(552\) −4.25723 7.13274i −0.181200 0.303590i
\(553\) 10.7942i 0.459014i
\(554\) −32.3324 + 4.64870i −1.37367 + 0.197504i
\(555\) −35.8450 + 23.9055i −1.52153 + 1.01473i
\(556\) −0.879927 + 0.258370i −0.0373172 + 0.0109573i
\(557\) −15.3807 13.3275i −0.651703 0.564704i 0.265012 0.964245i \(-0.414624\pi\)
−0.916715 + 0.399541i \(0.869169\pi\)
\(558\) 11.6924 0.115457i 0.494980 0.00488770i
\(559\) −7.40165 11.5172i −0.313056 0.487125i
\(560\) 1.97313 7.03190i 0.0833798 0.297152i
\(561\) 1.42035 1.65562i 0.0599674 0.0699004i
\(562\) 4.16266 + 2.67518i 0.175591 + 0.112846i
\(563\) −10.7639 1.54761i −0.453643 0.0652241i −0.0882938 0.996094i \(-0.528141\pi\)
−0.365350 + 0.930870i \(0.619051\pi\)
\(564\) −0.00253133 0.512710i −0.000106588 0.0215890i
\(565\) −20.2016 + 6.19680i −0.849886 + 0.260701i
\(566\) −6.06889 7.00387i −0.255094 0.294395i
\(567\) 25.0385 + 15.4012i 1.05152 + 0.646790i
\(568\) 4.36036 + 6.78485i 0.182957 + 0.284686i
\(569\) −25.0014 7.34108i −1.04811 0.307754i −0.288059 0.957613i \(-0.593010\pi\)
−0.760055 + 0.649859i \(0.774828\pi\)
\(570\) −6.80548 21.8013i −0.285050 0.913158i
\(571\) −0.973707 3.31614i −0.0407484 0.138776i 0.936607 0.350383i \(-0.113949\pi\)
−0.977355 + 0.211607i \(0.932130\pi\)
\(572\) 0.976383 + 0.445899i 0.0408246 + 0.0186440i
\(573\) −0.236535 0.791095i −0.00988140 0.0330485i
\(574\) 1.03785i 0.0433190i
\(575\) 15.4486 + 18.3396i 0.644251 + 0.764815i
\(576\) 2.86999 0.873579i 0.119583 0.0363991i
\(577\) −28.9240 + 4.15865i −1.20412 + 0.173127i −0.715023 0.699101i \(-0.753584\pi\)
−0.489100 + 0.872227i \(0.662675\pi\)
\(578\) 5.81622 12.7357i 0.241923 0.529737i
\(579\) −2.40741 5.20336i −0.100049 0.216244i
\(580\) −2.34469 15.0217i −0.0973578 0.623743i
\(581\) −14.5928 + 49.6987i −0.605413 + 2.06185i
\(582\) −17.4081 + 15.2353i −0.721587 + 0.631523i
\(583\) −1.62710 + 0.743071i −0.0673875 + 0.0307749i
\(584\) −2.16791 + 1.87851i −0.0897088 + 0.0777331i
\(585\) −8.20993 + 5.53407i −0.339439 + 0.228805i
\(586\) 22.5820 + 3.24680i 0.932852 + 0.134124i
\(587\) 0.787458 5.47689i 0.0325019 0.226056i −0.967096 0.254412i \(-0.918118\pi\)
0.999598 + 0.0283562i \(0.00902727\pi\)
\(588\) −5.79227 2.61076i −0.238869 0.107666i
\(589\) −17.3705 + 15.0516i −0.715737 + 0.620190i
\(590\) −18.4781 5.18490i −0.760733 0.213459i
\(591\) −3.34900 + 2.93100i −0.137759 + 0.120565i
\(592\) 10.6739 + 3.13415i 0.438696 + 0.128813i
\(593\) 21.7749 25.1296i 0.894189 1.03195i −0.105108 0.994461i \(-0.533519\pi\)
0.999297 0.0374879i \(-0.0119356\pi\)
\(594\) −2.81894 + 2.51668i −0.115663 + 0.103261i
\(595\) −5.39225 11.4409i −0.221061 0.469031i
\(596\) −1.45041 10.0879i −0.0594113 0.413215i
\(597\) 2.29745 + 15.4376i 0.0940282 + 0.631820i
\(598\) 0.269129 7.07327i 0.0110055 0.289248i
\(599\) 17.0942i 0.698449i 0.937039 + 0.349224i \(0.113555\pi\)
−0.937039 + 0.349224i \(0.886445\pi\)
\(600\) −7.76997 + 3.82460i −0.317208 + 0.156139i
\(601\) 4.53694 9.93452i 0.185066 0.405237i −0.794246 0.607597i \(-0.792134\pi\)
0.979311 + 0.202359i \(0.0648609\pi\)
\(602\) −29.0694 + 8.53554i −1.18478 + 0.347883i
\(603\) 0.495514 1.11400i 0.0201789 0.0453658i
\(604\) 20.2611 + 5.94918i 0.824411 + 0.242069i
\(605\) 23.2142 + 3.05296i 0.943792 + 0.124121i
\(606\) −8.10987 + 5.26865i −0.329441 + 0.214024i
\(607\) −13.4570 + 11.6605i −0.546202 + 0.473287i −0.883709 0.468036i \(-0.844962\pi\)
0.337507 + 0.941323i \(0.390416\pi\)
\(608\) −3.18814 + 4.96084i −0.129296 + 0.201189i
\(609\) −38.4647 + 0.189906i −1.55867 + 0.00769537i
\(610\) −6.89530 7.76669i −0.279182 0.314464i
\(611\) 0.236209 0.367548i 0.00955598 0.0148694i
\(612\) 2.76550 4.39809i 0.111789 0.177782i
\(613\) −16.4861 36.0995i −0.665867 1.45805i −0.876952 0.480577i \(-0.840427\pi\)
0.211085 0.977468i \(-0.432300\pi\)
\(614\) −9.54336 14.8498i −0.385138 0.599287i
\(615\) 0.916252 0.821577i 0.0369468 0.0331292i
\(616\) 1.55553 1.79518i 0.0626740 0.0723297i
\(617\) 7.78003 + 26.4963i 0.313212 + 1.06670i 0.954205 + 0.299155i \(0.0967048\pi\)
−0.640992 + 0.767547i \(0.721477\pi\)
\(618\) −8.78797 + 30.4850i −0.353504 + 1.22629i
\(619\) 12.4756 1.79372i 0.501437 0.0720958i 0.113045 0.993590i \(-0.463940\pi\)
0.388392 + 0.921494i \(0.373030\pi\)
\(620\) 6.65492 + 5.62771i 0.267268 + 0.226014i
\(621\) 22.4215 + 10.8756i 0.899742 + 0.436422i
\(622\) 22.6892i 0.909754i
\(623\) −3.98609 27.7238i −0.159699 1.11073i
\(624\) 2.45639 + 0.708107i 0.0983342 + 0.0283469i
\(625\) 20.3564 14.5126i 0.814257 0.580505i
\(626\) 6.80241 7.85039i 0.271879 0.313765i
\(627\) 1.02081 7.35755i 0.0407670 0.293832i
\(628\) −13.5012 + 8.67670i −0.538757 + 0.346238i
\(629\) 17.5242 8.00303i 0.698736 0.319102i
\(630\) 6.63202 + 20.8826i 0.264226 + 0.831984i
\(631\) 24.5281 38.1665i 0.976449 1.51938i 0.126872 0.991919i \(-0.459506\pi\)
0.849577 0.527465i \(-0.176857\pi\)
\(632\) −3.27115 0.470321i −0.130119 0.0187083i
\(633\) −0.137566 27.8634i −0.00546775 1.10747i
\(634\) 2.56523 + 1.64857i 0.101878 + 0.0654731i
\(635\) −24.8596 + 0.299261i −0.986523 + 0.0118758i
\(636\) −3.57245 + 2.32088i −0.141657 + 0.0920287i
\(637\) −2.92704 4.55457i −0.115974 0.180459i
\(638\) 1.39310 4.74447i 0.0551534 0.187835i
\(639\) −22.1072 9.83337i −0.874547 0.389002i
\(640\) 2.04503 + 0.904345i 0.0808370 + 0.0357474i
\(641\) 15.0340 32.9199i 0.593808 1.30026i −0.339305 0.940676i \(-0.610192\pi\)
0.933113 0.359582i \(-0.117081\pi\)
\(642\) −17.0425 + 5.09564i −0.672612 + 0.201109i
\(643\) −21.0704 −0.830935 −0.415468 0.909608i \(-0.636382\pi\)
−0.415468 + 0.909608i \(0.636382\pi\)
\(644\) −14.8511 4.98138i −0.585213 0.196294i
\(645\) 30.5472 + 18.9066i 1.20279 + 0.744448i
\(646\) 1.45335 + 10.1082i 0.0571811 + 0.397703i
\(647\) 11.0528 24.2022i 0.434530 0.951487i −0.558040 0.829814i \(-0.688447\pi\)
0.992570 0.121674i \(-0.0388261\pi\)
\(648\) −5.75828 + 6.91680i −0.226207 + 0.271718i
\(649\) −4.71729 4.08755i −0.185170 0.160450i
\(650\) −7.32778 0.874100i −0.287419 0.0342850i
\(651\) 16.5929 14.5218i 0.650325 0.569156i
\(652\) −13.3588 + 6.10077i −0.523172 + 0.238925i
\(653\) 24.4803 + 28.2518i 0.957989 + 1.10558i 0.994341 + 0.106239i \(0.0338807\pi\)
−0.0363521 + 0.999339i \(0.511574\pi\)
\(654\) −8.70071 + 19.3035i −0.340225 + 0.754828i
\(655\) −19.2656 21.7003i −0.752769 0.847900i
\(656\) −0.314519 0.0452210i −0.0122799 0.00176558i
\(657\) 2.34285 8.28062i 0.0914033 0.323058i
\(658\) −0.633155 0.730700i −0.0246830 0.0284857i
\(659\) −3.52585 7.72053i −0.137347 0.300749i 0.828443 0.560074i \(-0.189227\pi\)
−0.965790 + 0.259325i \(0.916500\pi\)
\(660\) −2.81622 + 0.0478088i −0.109621 + 0.00186096i
\(661\) −14.1762 + 48.2796i −0.551389 + 1.87786i −0.0781093 + 0.996945i \(0.524888\pi\)
−0.473279 + 0.880912i \(0.656930\pi\)
\(662\) −20.2113 + 23.3251i −0.785534 + 0.906554i
\(663\) 4.01792 1.85895i 0.156043 0.0721957i
\(664\) −14.4253 6.58779i −0.559809 0.255656i
\(665\) −36.5091 22.8467i −1.41576 0.885958i
\(666\) −31.9274 + 9.71817i −1.23716 + 0.376572i
\(667\) −32.4293 + 3.41008i −1.25567 + 0.132039i
\(668\) −4.29958 −0.166356
\(669\) 5.77313 1.72615i 0.223202 0.0667368i
\(670\) 0.822039 0.387438i 0.0317581 0.0149680i
\(671\) −0.951655 3.24104i −0.0367382 0.125119i
\(672\) 3.03501 4.77423i 0.117078 0.184170i
\(673\) −10.3983 + 35.4134i −0.400825 + 1.36509i 0.473948 + 0.880553i \(0.342828\pi\)
−0.874773 + 0.484532i \(0.838990\pi\)
\(674\) 13.0322 8.37530i 0.501982 0.322605i
\(675\) 13.1859 22.3860i 0.507527 0.861636i
\(676\) −7.08663 8.17841i −0.272563 0.314554i
\(677\) −8.84282 + 13.7597i −0.339857 + 0.528828i −0.968548 0.248827i \(-0.919955\pi\)
0.628691 + 0.777656i \(0.283591\pi\)
\(678\) −16.3675 + 0.0808089i −0.628590 + 0.00310345i
\(679\) −6.20832 + 43.1798i −0.238253 + 1.65709i
\(680\) 3.70209 1.13561i 0.141969 0.0435488i
\(681\) 22.8445 26.6285i 0.875404 1.02041i
\(682\) 1.17753 + 2.57842i 0.0450898 + 0.0987330i
\(683\) −11.3707 + 7.30751i −0.435088 + 0.279614i −0.739795 0.672832i \(-0.765078\pi\)
0.304707 + 0.952446i \(0.401441\pi\)
\(684\) −0.174681 17.6900i −0.00667910 0.676395i
\(685\) 0.810341 + 5.19161i 0.0309615 + 0.198361i
\(686\) 10.4417 3.06595i 0.398664 0.117058i
\(687\) −15.7132 4.52967i −0.599496 0.172818i
\(688\) −1.32008 9.18133i −0.0503274 0.350035i
\(689\) −3.63024 −0.138301
\(690\) 7.35856 + 17.0544i 0.280135 + 0.649249i
\(691\) 22.9769 0.874082 0.437041 0.899442i \(-0.356027\pi\)
0.437041 + 0.899442i \(0.356027\pi\)
\(692\) 2.27457 + 15.8200i 0.0864661 + 0.601385i
\(693\) −0.944449 + 7.06321i −0.0358767 + 0.268309i
\(694\) 23.1405 6.79466i 0.878401 0.257922i
\(695\) 2.02611 0.316248i 0.0768547 0.0119960i
\(696\) 1.61842 11.6649i 0.0613461 0.442158i
\(697\) −0.462921 + 0.297501i −0.0175344 + 0.0112687i
\(698\) 2.09425 + 4.58577i 0.0792686 + 0.173574i
\(699\) −15.7295 13.4943i −0.594944 0.510401i
\(700\) −6.42461 + 15.0143i −0.242827 + 0.567487i
\(701\) 2.66198 18.5145i 0.100542 0.699283i −0.875741 0.482782i \(-0.839626\pi\)
0.976282 0.216501i \(-0.0694645\pi\)
\(702\) −7.32578 + 2.26943i −0.276494 + 0.0856539i
\(703\) 35.4666 55.1872i 1.33765 2.08142i
\(704\) 0.476248 + 0.549619i 0.0179493 + 0.0207146i
\(705\) −0.143874 + 1.13740i −0.00541861 + 0.0428371i
\(706\) −13.2875 + 8.53936i −0.500082 + 0.321383i
\(707\) −5.13800 + 17.4984i −0.193234 + 0.658095i
\(708\) −12.5455 7.97527i −0.471489 0.299729i
\(709\) −7.26287 24.7351i −0.272763 0.928945i −0.975960 0.217950i \(-0.930063\pi\)
0.703197 0.710995i \(-0.251755\pi\)
\(710\) −7.68863 16.3132i −0.288549 0.612223i
\(711\) 8.97732 4.20742i 0.336676 0.157791i
\(712\) 8.57534 0.321375
\(713\) 12.7693 13.6513i 0.478214 0.511244i
\(714\) −1.44213 9.69033i −0.0539702 0.362652i
\(715\) −2.03461 1.27322i −0.0760903 0.0476159i
\(716\) 16.0793 + 7.34317i 0.600912 + 0.274427i
\(717\) −15.0067 32.4354i −0.560436 1.21132i
\(718\) −1.03639 + 1.19605i −0.0386776 + 0.0446364i
\(719\) −9.22894 + 31.4309i −0.344181 + 1.17217i 0.587599 + 0.809152i \(0.300073\pi\)
−0.931781 + 0.363022i \(0.881745\pi\)
\(720\) −6.61741 + 1.09993i −0.246616 + 0.0409919i
\(721\) 24.8535 + 54.4216i 0.925593 + 2.02677i
\(722\) 10.3299 + 11.9214i 0.384439 + 0.443667i
\(723\) 6.68198 14.8248i 0.248506 0.551339i
\(724\) 20.0672 + 2.88522i 0.745790 + 0.107228i
\(725\) 0.818380 + 33.9864i 0.0303939 + 1.26222i
\(726\) 16.5345 + 7.45263i 0.613654 + 0.276593i
\(727\) 7.08273 + 8.17391i 0.262684 + 0.303154i 0.871735 0.489977i \(-0.162995\pi\)
−0.609051 + 0.793131i \(0.708450\pi\)
\(728\) 4.38512 2.00262i 0.162523 0.0742219i
\(729\) 3.04926 26.8273i 0.112936 0.993602i
\(730\) 5.35391 3.53253i 0.198157 0.130745i
\(731\) −12.1399 10.5193i −0.449012 0.389071i
\(732\) −3.37805 7.30128i −0.124856 0.269863i
\(733\) −1.90844 + 4.17890i −0.0704898 + 0.154351i −0.941597 0.336742i \(-0.890675\pi\)
0.871107 + 0.491093i \(0.163402\pi\)
\(734\) −4.85103 33.7397i −0.179055 1.24535i
\(735\) 12.0801 + 7.47679i 0.445583 + 0.275785i
\(736\) 2.15669 4.28354i 0.0794965 0.157893i
\(737\) 0.295564 0.0108872
\(738\) 0.863163 0.404541i 0.0317735 0.0148914i
\(739\) −6.55482 + 14.3531i −0.241123 + 0.527986i −0.991043 0.133543i \(-0.957365\pi\)
0.749920 + 0.661529i \(0.230092\pi\)
\(740\) −22.7501 10.0604i −0.836309 0.369829i
\(741\) 8.08750 12.7221i 0.297102 0.467356i
\(742\) −2.26332 + 7.70816i −0.0830891 + 0.282976i
\(743\) −11.1301 17.3188i −0.408324 0.635364i 0.574802 0.818292i \(-0.305079\pi\)
−0.983126 + 0.182928i \(0.941443\pi\)
\(744\) 3.67784 + 5.66118i 0.134836 + 0.207549i
\(745\) 0.274316 + 22.7874i 0.0100502 + 0.834867i
\(746\) 9.62282 + 6.18421i 0.352316 + 0.226420i
\(747\) 47.0216 7.23528i 1.72043 0.264725i
\(748\) 1.24661 + 0.179236i 0.0455806 + 0.00655350i
\(749\) −18.1351 + 28.2187i −0.662640 + 1.03109i
\(750\) 18.3410 6.21364i 0.669717 0.226890i
\(751\) −3.21312 + 1.46738i −0.117249 + 0.0535456i −0.473176 0.880968i \(-0.656892\pi\)
0.355927 + 0.934514i \(0.384165\pi\)
\(752\) 0.249025 0.160039i 0.00908101 0.00583601i
\(753\) 42.3765 + 5.87943i 1.54429 + 0.214258i
\(754\) 6.57175 7.58421i 0.239329 0.276201i
\(755\) −43.1838 19.0965i −1.57162 0.694994i
\(756\) 0.251365 + 16.9699i 0.00914206 + 0.617189i
\(757\) −3.07665 21.3986i −0.111823 0.777745i −0.966145 0.258000i \(-0.916936\pi\)
0.854322 0.519744i \(-0.173973\pi\)
\(758\) 26.7233i 0.970633i
\(759\) −0.199880 + 6.03769i −0.00725517 + 0.219154i
\(760\) 8.51442 10.0685i 0.308851 0.365225i
\(761\) −20.1120 + 2.89166i −0.729058 + 0.104823i −0.496841 0.867841i \(-0.665507\pi\)
−0.232217 + 0.972664i \(0.574598\pi\)
\(762\) −18.5041 5.33419i −0.670331 0.193237i
\(763\) 11.2492 + 38.3111i 0.407247 + 1.38695i
\(764\) 0.312184 0.360280i 0.0112944 0.0130345i
\(765\) −7.41337 + 8.94416i −0.268031 + 0.323377i
\(766\) 6.98678 + 10.8716i 0.252443 + 0.392808i
\(767\) −5.26239 11.5230i −0.190014 0.416073i
\(768\) 1.31458 + 1.12778i 0.0474358 + 0.0406951i
\(769\) 0.712759 1.10907i 0.0257027 0.0399942i −0.828164 0.560485i \(-0.810615\pi\)
0.853867 + 0.520491i \(0.174251\pi\)
\(770\) −3.97197 + 3.52633i −0.143140 + 0.127080i
\(771\) 0.0173200 + 3.50810i 0.000623765 + 0.126341i
\(772\) 1.78958 2.78465i 0.0644085 0.100222i
\(773\) −3.24542 + 2.81217i −0.116729 + 0.101147i −0.711270 0.702919i \(-0.751880\pi\)
0.594540 +