Properties

Label 162.3.h.a.5.8
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.8
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326140 - 1.37609i) q^{2} +(2.56706 - 1.55248i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-0.00733898 + 0.00546367i) q^{5} +(-2.97357 - 3.02620i) q^{6} +(2.72886 - 1.79480i) q^{7} +(1.81808 + 2.16670i) q^{8} +(4.17964 - 7.97061i) q^{9} +O(q^{10})\) \(q+(-0.326140 - 1.37609i) q^{2} +(2.56706 - 1.55248i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-0.00733898 + 0.00546367i) q^{5} +(-2.97357 - 3.02620i) q^{6} +(2.72886 - 1.79480i) q^{7} +(1.81808 + 2.16670i) q^{8} +(4.17964 - 7.97061i) q^{9} +(0.00991205 + 0.00831720i) q^{10} +(1.72906 - 14.7930i) q^{11} +(-3.19453 + 5.07888i) q^{12} +(-1.56207 - 5.21766i) q^{13} +(-3.35980 - 3.16981i) q^{14} +(-0.0103574 + 0.0254192i) q^{15} +(2.38863 - 3.20849i) q^{16} +(-6.21509 - 1.09589i) q^{17} +(-12.3314 - 3.15204i) q^{18} +(4.07160 + 23.0912i) q^{19} +(0.00821253 - 0.0163525i) q^{20} +(4.21877 - 8.84384i) q^{21} +(-20.9205 + 2.44526i) q^{22} +(6.78406 - 10.3147i) q^{23} +(8.03087 + 2.73954i) q^{24} +(-7.17006 + 23.9497i) q^{25} +(-6.67054 + 3.85124i) q^{26} +(-1.64476 - 26.9499i) q^{27} +(-3.26618 + 5.65720i) q^{28} +(2.05855 - 1.94214i) q^{29} +(0.0383571 + 0.00596257i) q^{30} +(-0.593780 + 10.1948i) q^{31} +(-5.19421 - 2.24057i) q^{32} +(-18.5272 - 40.6590i) q^{33} +(0.518945 + 8.90995i) q^{34} +(-0.0102208 + 0.0280815i) q^{35} +(-0.315722 + 17.9972i) q^{36} +(8.05693 - 2.93248i) q^{37} +(30.4477 - 13.1339i) q^{38} +(-12.1102 - 10.9690i) q^{39} +(-0.0251810 - 0.00596800i) q^{40} +(2.32118 - 9.79384i) q^{41} +(-13.5459 - 2.92109i) q^{42} +(19.9851 + 46.3306i) q^{43} +(10.1879 + 27.9911i) q^{44} +(0.0128745 + 0.0813323i) q^{45} +(-16.4065 - 5.97148i) q^{46} +(63.1002 - 3.67517i) q^{47} +(1.15067 - 11.9447i) q^{48} +(-15.1825 + 35.1971i) q^{49} +(35.2954 + 2.05572i) q^{50} +(-17.6559 + 6.83555i) q^{51} +(7.47519 + 7.92324i) q^{52} +(51.7250 + 29.8635i) q^{53} +(-36.5491 + 11.0528i) q^{54} +(0.0681348 + 0.118013i) q^{55} +(8.85006 + 2.64953i) q^{56} +(46.3006 + 52.9555i) q^{57} +(-3.34394 - 2.19935i) q^{58} +(1.44952 + 12.4014i) q^{59} +(-0.00430474 - 0.0547276i) q^{60} +(14.0307 + 7.04646i) q^{61} +(14.2227 - 2.50784i) q^{62} +(-2.89998 - 29.2523i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(0.0399715 + 0.0297577i) q^{65} +(-49.9081 + 38.7557i) q^{66} +(-53.7559 + 56.9780i) q^{67} +(12.0917 - 3.62001i) q^{68} +(1.40186 - 37.0105i) q^{69} +(0.0419763 + 0.00490632i) q^{70} +(-86.4709 + 103.052i) q^{71} +(24.8688 - 5.43516i) q^{72} +(10.9189 - 9.16201i) q^{73} +(-6.66306 - 10.1307i) q^{74} +(18.7753 + 72.6117i) q^{75} +(-28.0037 - 37.6154i) q^{76} +(-21.8322 - 43.4714i) q^{77} +(-11.1448 + 20.2422i) q^{78} +(121.980 - 28.9098i) q^{79} +0.0365978i q^{80} +(-46.0612 - 66.6286i) q^{81} -14.2343 q^{82} +(-1.04492 - 4.40888i) q^{83} +(0.398152 + 19.5931i) q^{84} +(0.0516000 - 0.0259145i) q^{85} +(57.2373 - 42.6116i) q^{86} +(2.26930 - 8.18145i) q^{87} +(35.1957 - 23.1486i) q^{88} +(-63.0599 - 75.1519i) q^{89} +(0.107722 - 0.0442422i) q^{90} +(-13.6273 - 11.4347i) q^{91} +(-2.86649 + 24.5244i) q^{92} +(14.3029 + 27.0926i) q^{93} +(-25.6369 - 85.6331i) q^{94} +(-0.156044 - 0.147220i) q^{95} +(-16.8123 + 2.31221i) q^{96} +(-3.82760 + 5.14135i) q^{97} +(53.3861 + 9.41342i) q^{98} +(-110.683 - 75.6113i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326140 1.37609i −0.163070 0.688047i
\(3\) 2.56706 1.55248i 0.855688 0.517492i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) −0.00733898 + 0.00546367i −0.00146780 + 0.00109273i −0.597892 0.801576i \(-0.703995\pi\)
0.596424 + 0.802669i \(0.296588\pi\)
\(6\) −2.97357 3.02620i −0.495596 0.504366i
\(7\) 2.72886 1.79480i 0.389837 0.256400i −0.339427 0.940632i \(-0.610233\pi\)
0.729264 + 0.684233i \(0.239863\pi\)
\(8\) 1.81808 + 2.16670i 0.227260 + 0.270838i
\(9\) 4.17964 7.97061i 0.464405 0.885623i
\(10\) 0.00991205 + 0.00831720i 0.000991205 + 0.000831720i
\(11\) 1.72906 14.7930i 0.157187 1.34482i −0.652423 0.757855i \(-0.726248\pi\)
0.809610 0.586968i \(-0.199678\pi\)
\(12\) −3.19453 + 5.07888i −0.266211 + 0.423240i
\(13\) −1.56207 5.21766i −0.120159 0.401359i 0.876655 0.481119i \(-0.159770\pi\)
−0.996814 + 0.0797606i \(0.974584\pi\)
\(14\) −3.35980 3.16981i −0.239986 0.226415i
\(15\) −0.0103574 + 0.0254192i −0.000690495 + 0.00169461i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) −6.21509 1.09589i −0.365593 0.0644640i −0.0121661 0.999926i \(-0.503873\pi\)
−0.353427 + 0.935462i \(0.614984\pi\)
\(18\) −12.3314 3.15204i −0.685081 0.175113i
\(19\) 4.07160 + 23.0912i 0.214295 + 1.21533i 0.882126 + 0.471014i \(0.156112\pi\)
−0.667831 + 0.744313i \(0.732777\pi\)
\(20\) 0.00821253 0.0163525i 0.000410626 0.000817624i
\(21\) 4.21877 8.84384i 0.200894 0.421135i
\(22\) −20.9205 + 2.44526i −0.950933 + 0.111148i
\(23\) 6.78406 10.3147i 0.294959 0.448464i −0.657356 0.753580i \(-0.728325\pi\)
0.952315 + 0.305117i \(0.0986955\pi\)
\(24\) 8.03087 + 2.73954i 0.334620 + 0.114148i
\(25\) −7.17006 + 23.9497i −0.286802 + 0.957986i
\(26\) −6.67054 + 3.85124i −0.256559 + 0.148124i
\(27\) −1.64476 26.9499i −0.0609172 0.998143i
\(28\) −3.26618 + 5.65720i −0.116649 + 0.202043i
\(29\) 2.05855 1.94214i 0.0709845 0.0669704i −0.649932 0.759992i \(-0.725203\pi\)
0.720916 + 0.693022i \(0.243721\pi\)
\(30\) 0.0383571 + 0.00596257i 0.00127857 + 0.000198752i
\(31\) −0.593780 + 10.1948i −0.0191542 + 0.328865i 0.975096 + 0.221783i \(0.0711877\pi\)
−0.994250 + 0.107082i \(0.965849\pi\)
\(32\) −5.19421 2.24057i −0.162319 0.0700177i
\(33\) −18.5272 40.6590i −0.561431 1.23209i
\(34\) 0.518945 + 8.90995i 0.0152631 + 0.262057i
\(35\) −0.0102208 + 0.0280815i −0.000292024 + 0.000802330i
\(36\) −0.315722 + 17.9972i −0.00877007 + 0.499923i
\(37\) 8.05693 2.93248i 0.217755 0.0792563i −0.230839 0.972992i \(-0.574147\pi\)
0.448594 + 0.893736i \(0.351925\pi\)
\(38\) 30.4477 13.1339i 0.801256 0.345628i
\(39\) −12.1102 10.9690i −0.310518 0.281257i
\(40\) −0.0251810 0.00596800i −0.000629524 0.000149200i
\(41\) 2.32118 9.79384i 0.0566142 0.238874i −0.937380 0.348309i \(-0.886756\pi\)
0.993994 + 0.109435i \(0.0349041\pi\)
\(42\) −13.5459 2.92109i −0.322521 0.0695498i
\(43\) 19.9851 + 46.3306i 0.464769 + 1.07746i 0.975952 + 0.217985i \(0.0699482\pi\)
−0.511183 + 0.859472i \(0.670793\pi\)
\(44\) 10.1879 + 27.9911i 0.231544 + 0.636161i
\(45\) 0.0128745 + 0.0813323i 0.000286099 + 0.00180738i
\(46\) −16.4065 5.97148i −0.356663 0.129815i
\(47\) 63.1002 3.67517i 1.34256 0.0781950i 0.628241 0.778019i \(-0.283775\pi\)
0.714316 + 0.699824i \(0.246738\pi\)
\(48\) 1.15067 11.9447i 0.0239724 0.248848i
\(49\) −15.1825 + 35.1971i −0.309848 + 0.718308i
\(50\) 35.2954 + 2.05572i 0.705908 + 0.0411145i
\(51\) −17.6559 + 6.83555i −0.346193 + 0.134030i
\(52\) 7.47519 + 7.92324i 0.143754 + 0.152370i
\(53\) 51.7250 + 29.8635i 0.975944 + 0.563462i 0.901043 0.433729i \(-0.142803\pi\)
0.0749010 + 0.997191i \(0.476136\pi\)
\(54\) −36.5491 + 11.0528i −0.676835 + 0.204681i
\(55\) 0.0681348 + 0.118013i 0.00123881 + 0.00214569i
\(56\) 8.85006 + 2.64953i 0.158037 + 0.0473131i
\(57\) 46.3006 + 52.9555i 0.812291 + 0.929045i
\(58\) −3.34394 2.19935i −0.0576542 0.0379198i
\(59\) 1.44952 + 12.4014i 0.0245682 + 0.210194i 0.999946 0.0103442i \(-0.00329271\pi\)
−0.975378 + 0.220538i \(0.929219\pi\)
\(60\) −0.00430474 0.0547276i −7.17457e−5 0.000912127i
\(61\) 14.0307 + 7.04646i 0.230011 + 0.115516i 0.560072 0.828444i \(-0.310773\pi\)
−0.330062 + 0.943959i \(0.607070\pi\)
\(62\) 14.2227 2.50784i 0.229398 0.0404490i
\(63\) −2.89998 29.2523i −0.0460315 0.464322i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) 0.0399715 + 0.0297577i 0.000614947 + 0.000457811i
\(66\) −49.9081 + 38.7557i −0.756184 + 0.587208i
\(67\) −53.7559 + 56.9780i −0.802327 + 0.850417i −0.991308 0.131564i \(-0.958000\pi\)
0.188980 + 0.981981i \(0.439482\pi\)
\(68\) 12.0917 3.62001i 0.177819 0.0532354i
\(69\) 1.40186 37.0105i 0.0203169 0.536384i
\(70\) 0.0419763 + 0.00490632i 0.000599661 + 7.00903e-5i
\(71\) −86.4709 + 103.052i −1.21790 + 1.45144i −0.363680 + 0.931524i \(0.618480\pi\)
−0.854219 + 0.519913i \(0.825964\pi\)
\(72\) 24.8688 5.43516i 0.345401 0.0754883i
\(73\) 10.9189 9.16201i 0.149573 0.125507i −0.564930 0.825139i \(-0.691097\pi\)
0.714504 + 0.699632i \(0.246653\pi\)
\(74\) −6.66306 10.1307i −0.0900413 0.136901i
\(75\) 18.7753 + 72.6117i 0.250337 + 0.968155i
\(76\) −28.0037 37.6154i −0.368469 0.494940i
\(77\) −21.8322 43.4714i −0.283535 0.564564i
\(78\) −11.1448 + 20.2422i −0.142881 + 0.259516i
\(79\) 121.980 28.9098i 1.54405 0.365946i 0.631652 0.775252i \(-0.282377\pi\)
0.912397 + 0.409306i \(0.134229\pi\)
\(80\) 0.0365978i 0.000457472i
\(81\) −46.0612 66.6286i −0.568657 0.822575i
\(82\) −14.2343 −0.173589
\(83\) −1.04492 4.40888i −0.0125895 0.0531191i 0.966388 0.257089i \(-0.0827635\pi\)
−0.978977 + 0.203970i \(0.934615\pi\)
\(84\) 0.398152 + 19.5931i 0.00473991 + 0.233251i
\(85\) 0.0516000 0.0259145i 0.000607058 0.000304876i
\(86\) 57.2373 42.6116i 0.665550 0.495484i
\(87\) 2.26930 8.18145i 0.0260839 0.0940397i
\(88\) 35.1957 23.1486i 0.399951 0.263052i
\(89\) −63.0599 75.1519i −0.708539 0.844403i 0.284925 0.958550i \(-0.408031\pi\)
−0.993464 + 0.114146i \(0.963587\pi\)
\(90\) 0.107722 0.0442422i 0.00119691 0.000491580i
\(91\) −13.6273 11.4347i −0.149751 0.125656i
\(92\) −2.86649 + 24.5244i −0.0311575 + 0.266570i
\(93\) 14.3029 + 27.0926i 0.153795 + 0.291318i
\(94\) −25.6369 85.6331i −0.272733 0.910990i
\(95\) −0.156044 0.147220i −0.00164257 0.00154968i
\(96\) −16.8123 + 2.31221i −0.175128 + 0.0240856i
\(97\) −3.82760 + 5.14135i −0.0394598 + 0.0530036i −0.821415 0.570331i \(-0.806815\pi\)
0.781955 + 0.623334i \(0.214222\pi\)
\(98\) 53.3861 + 9.41342i 0.544756 + 0.0960553i
\(99\) −110.683 75.6113i −1.11801 0.763750i
\(100\) −8.68238 49.2402i −0.0868238 0.492402i
\(101\) 54.0222 107.567i 0.534873 1.06502i −0.450207 0.892924i \(-0.648650\pi\)
0.985080 0.172096i \(-0.0550539\pi\)
\(102\) 15.1646 + 22.0668i 0.148673 + 0.216341i
\(103\) −117.007 + 13.6761i −1.13599 + 0.132778i −0.663230 0.748416i \(-0.730815\pi\)
−0.472756 + 0.881193i \(0.656741\pi\)
\(104\) 8.46516 12.8706i 0.0813957 0.123756i
\(105\) 0.0173583 + 0.0879548i 0.000165317 + 0.000837664i
\(106\) 24.2253 80.9182i 0.228541 0.763379i
\(107\) −147.820 + 85.3438i −1.38149 + 0.797606i −0.992336 0.123565i \(-0.960567\pi\)
−0.389157 + 0.921171i \(0.627234\pi\)
\(108\) 27.1298 + 46.6902i 0.251202 + 0.432317i
\(109\) 72.5161 125.602i 0.665285 1.15231i −0.313922 0.949449i \(-0.601643\pi\)
0.979208 0.202860i \(-0.0650235\pi\)
\(110\) 0.140175 0.132249i 0.00127432 0.00120226i
\(111\) 16.1300 20.0361i 0.145316 0.180505i
\(112\) 0.759647 13.0426i 0.00678256 0.116452i
\(113\) 19.7299 + 8.51065i 0.174601 + 0.0753155i 0.481586 0.876399i \(-0.340061\pi\)
−0.306985 + 0.951714i \(0.599320\pi\)
\(114\) 57.7713 80.9848i 0.506766 0.710393i
\(115\) 0.00656781 + 0.112765i 5.71114e−5 + 0.000980565i
\(116\) −1.93591 + 5.31887i −0.0166889 + 0.0458524i
\(117\) −48.1168 9.35734i −0.411255 0.0799773i
\(118\) 16.5928 6.03929i 0.140617 0.0511804i
\(119\) −18.9270 + 8.16430i −0.159050 + 0.0686076i
\(120\) −0.0739064 + 0.0237726i −0.000615886 + 0.000198105i
\(121\) −98.1061 23.2516i −0.810794 0.192162i
\(122\) 5.12063 21.6056i 0.0419724 0.177095i
\(123\) −9.24607 28.7450i −0.0751713 0.233699i
\(124\) −8.08961 18.7538i −0.0652388 0.151240i
\(125\) −0.156464 0.429882i −0.00125172 0.00343906i
\(126\) −39.3080 + 13.5310i −0.311968 + 0.107389i
\(127\) −121.393 44.1836i −0.955853 0.347902i −0.183446 0.983030i \(-0.558725\pi\)
−0.772407 + 0.635128i \(0.780947\pi\)
\(128\) 11.2946 0.657834i 0.0882388 0.00513933i
\(129\) 123.230 + 87.9074i 0.955273 + 0.681453i
\(130\) 0.0279131 0.0647098i 0.000214716 0.000497767i
\(131\) −239.654 13.9583i −1.82942 0.106552i −0.891419 0.453179i \(-0.850290\pi\)
−0.938003 + 0.346627i \(0.887327\pi\)
\(132\) 69.6085 + 56.0384i 0.527337 + 0.424534i
\(133\) 52.5548 + 55.7049i 0.395149 + 0.418834i
\(134\) 95.9389 + 55.3904i 0.715962 + 0.413361i
\(135\) 0.159316 + 0.188798i 0.00118012 + 0.00139850i
\(136\) −8.92505 15.4586i −0.0656254 0.113666i
\(137\) 96.8155 + 28.9847i 0.706683 + 0.211567i 0.619923 0.784662i \(-0.287164\pi\)
0.0867594 + 0.996229i \(0.472349\pi\)
\(138\) −51.3871 + 10.1415i −0.372370 + 0.0734892i
\(139\) 206.959 + 136.119i 1.48891 + 0.979273i 0.993888 + 0.110394i \(0.0352112\pi\)
0.495024 + 0.868879i \(0.335159\pi\)
\(140\) −0.00693859 0.0593634i −4.95613e−5 0.000424024i
\(141\) 156.277 107.396i 1.10834 0.761673i
\(142\) 170.011 + 85.3826i 1.19726 + 0.601286i
\(143\) −79.8860 + 14.0861i −0.558643 + 0.0985039i
\(144\) −15.5900 32.4492i −0.108264 0.225342i
\(145\) −0.00449644 + 0.0255006i −3.10099e−5 + 0.000175866i
\(146\) −16.1689 12.0373i −0.110746 0.0824470i
\(147\) 15.6680 + 113.924i 0.106585 + 0.774992i
\(148\) −11.7677 + 12.4730i −0.0795113 + 0.0842771i
\(149\) −90.0121 + 26.9478i −0.604108 + 0.180858i −0.574228 0.818695i \(-0.694698\pi\)
−0.0298800 + 0.999553i \(0.509513\pi\)
\(150\) 93.7970 49.5181i 0.625314 0.330120i
\(151\) −202.614 23.6822i −1.34181 0.156836i −0.585302 0.810815i \(-0.699024\pi\)
−0.756512 + 0.653980i \(0.773098\pi\)
\(152\) −42.6292 + 50.8035i −0.280455 + 0.334234i
\(153\) −34.7117 + 44.9576i −0.226874 + 0.293840i
\(154\) −52.7004 + 44.2209i −0.342210 + 0.287148i
\(155\) −0.0513433 0.0780638i −0.000331247 0.000503637i
\(156\) 31.4899 + 8.73442i 0.201859 + 0.0559899i
\(157\) 1.41814 + 1.90490i 0.00903276 + 0.0121331i 0.806617 0.591075i \(-0.201296\pi\)
−0.797584 + 0.603208i \(0.793889\pi\)
\(158\) −79.5651 158.427i −0.503576 1.00270i
\(159\) 179.144 3.64040i 1.12669 0.0228956i
\(160\) 0.0503619 0.0119360i 0.000314762 7.46000e-5i
\(161\) 40.3233i 0.250455i
\(162\) −76.6647 + 85.1148i −0.473239 + 0.525400i
\(163\) 219.866 1.34887 0.674437 0.738332i \(-0.264386\pi\)
0.674437 + 0.738332i \(0.264386\pi\)
\(164\) 4.64237 + 19.5877i 0.0283071 + 0.119437i
\(165\) 0.358118 + 0.197169i 0.00217041 + 0.00119496i
\(166\) −5.72624 + 2.87583i −0.0344955 + 0.0173243i
\(167\) −82.2531 + 61.2352i −0.492534 + 0.366678i −0.814585 0.580045i \(-0.803035\pi\)
0.322051 + 0.946722i \(0.395628\pi\)
\(168\) 26.8320 6.93798i 0.159714 0.0412975i
\(169\) 116.413 76.5664i 0.688837 0.453055i
\(170\) −0.0524895 0.0625546i −0.000308762 0.000367968i
\(171\) 201.069 + 64.0598i 1.17584 + 0.374619i
\(172\) −77.3049 64.8665i −0.449447 0.377131i
\(173\) −9.86366 + 84.3890i −0.0570154 + 0.487798i 0.934319 + 0.356437i \(0.116009\pi\)
−0.991335 + 0.131361i \(0.958065\pi\)
\(174\) −11.9985 0.454474i −0.0689572 0.00261192i
\(175\) 23.4187 + 78.2240i 0.133821 + 0.446994i
\(176\) −43.3333 40.8828i −0.246212 0.232289i
\(177\) 22.9740 + 29.5850i 0.129796 + 0.167147i
\(178\) −82.8496 + 111.286i −0.465447 + 0.625204i
\(179\) −52.2650 9.21572i −0.291983 0.0514845i 0.0257380 0.999669i \(-0.491806\pi\)
−0.317721 + 0.948184i \(0.602918\pi\)
\(180\) −0.0960138 0.133806i −0.000533410 0.000743369i
\(181\) −50.5862 286.889i −0.279482 1.58502i −0.724356 0.689427i \(-0.757863\pi\)
0.444874 0.895593i \(-0.353249\pi\)
\(182\) −11.2908 + 22.4817i −0.0620371 + 0.123526i
\(183\) 46.9571 3.69353i 0.256596 0.0201832i
\(184\) 34.6828 4.05383i 0.188493 0.0220317i
\(185\) −0.0431075 + 0.0655418i −0.000233014 + 0.000354280i
\(186\) 32.6172 28.5181i 0.175361 0.153323i
\(187\) −26.9578 + 90.0452i −0.144159 + 0.481525i
\(188\) −109.478 + 63.2071i −0.582329 + 0.336208i
\(189\) −52.8579 70.5903i −0.279671 0.373494i
\(190\) −0.151696 + 0.262746i −0.000798401 + 0.00138287i
\(191\) −127.814 + 120.586i −0.669182 + 0.631341i −0.943918 0.330179i \(-0.892891\pi\)
0.274736 + 0.961520i \(0.411410\pi\)
\(192\) 8.66499 + 22.3812i 0.0451301 + 0.116569i
\(193\) 8.42078 144.579i 0.0436310 0.749115i −0.903563 0.428455i \(-0.859058\pi\)
0.947194 0.320660i \(-0.103905\pi\)
\(194\) 8.32331 + 3.59033i 0.0429037 + 0.0185068i
\(195\) 0.148808 + 0.0143351i 0.000763116 + 7.35135e-5i
\(196\) −4.45762 76.5344i −0.0227430 0.390482i
\(197\) 65.4875 179.925i 0.332424 0.913327i −0.655056 0.755581i \(-0.727355\pi\)
0.987480 0.157747i \(-0.0504229\pi\)
\(198\) −67.9501 + 176.970i −0.343182 + 0.893786i
\(199\) 210.670 76.6775i 1.05864 0.385314i 0.246724 0.969086i \(-0.420646\pi\)
0.811918 + 0.583772i \(0.198424\pi\)
\(200\) −64.9275 + 28.0070i −0.324637 + 0.140035i
\(201\) −49.5381 + 229.721i −0.246458 + 1.14289i
\(202\) −165.641 39.2577i −0.820005 0.194345i
\(203\) 2.13174 8.99450i 0.0105012 0.0443079i
\(204\) 25.4201 28.0648i 0.124608 0.137573i
\(205\) 0.0364752 + 0.0845590i 0.000177928 + 0.000412483i
\(206\) 56.9801 + 156.552i 0.276603 + 0.759959i
\(207\) −53.8592 97.1847i −0.260189 0.469491i
\(208\) −20.4720 7.45121i −0.0984232 0.0358231i
\(209\) 348.629 20.3053i 1.66808 0.0971547i
\(210\) 0.115373 0.0525723i 0.000549394 0.000250344i
\(211\) −85.7532 + 198.798i −0.406413 + 0.942172i 0.584955 + 0.811066i \(0.301112\pi\)
−0.991368 + 0.131106i \(0.958147\pi\)
\(212\) −119.252 6.94563i −0.562508 0.0327624i
\(213\) −61.9907 + 398.785i −0.291036 + 1.87223i
\(214\) 165.651 + 175.580i 0.774070 + 0.820467i
\(215\) −0.399805 0.230828i −0.00185956 0.00107362i
\(216\) 55.4020 52.5606i 0.256491 0.243336i
\(217\) 16.6773 + 28.8859i 0.0768538 + 0.133115i
\(218\) −196.490 58.8252i −0.901330 0.269840i
\(219\) 13.8056 40.4707i 0.0630393 0.184798i
\(220\) −0.227703 0.149763i −0.00103501 0.000680739i
\(221\) 3.99040 + 34.1401i 0.0180561 + 0.154480i
\(222\) −32.8321 15.6619i −0.147892 0.0705491i
\(223\) 71.4158 + 35.8664i 0.320250 + 0.160836i 0.601661 0.798752i \(-0.294506\pi\)
−0.281410 + 0.959588i \(0.590802\pi\)
\(224\) −18.1956 + 3.20838i −0.0812305 + 0.0143231i
\(225\) 160.925 + 157.251i 0.715223 + 0.698892i
\(226\) 5.27674 29.9259i 0.0233484 0.132415i
\(227\) 93.5569 + 69.6506i 0.412145 + 0.306831i 0.783188 0.621785i \(-0.213592\pi\)
−0.371043 + 0.928616i \(0.621000\pi\)
\(228\) −130.284 53.0863i −0.571422 0.232835i
\(229\) −48.3060 + 51.2014i −0.210943 + 0.223587i −0.824203 0.566294i \(-0.808376\pi\)
0.613260 + 0.789881i \(0.289858\pi\)
\(230\) 0.153033 0.0458151i 0.000665361 0.000199196i
\(231\) −123.533 77.7000i −0.534774 0.336364i
\(232\) 7.95064 + 0.929297i 0.0342700 + 0.00400559i
\(233\) −157.960 + 188.249i −0.677939 + 0.807936i −0.989841 0.142178i \(-0.954589\pi\)
0.311902 + 0.950114i \(0.399034\pi\)
\(234\) 2.81625 + 69.2650i 0.0120352 + 0.296004i
\(235\) −0.443011 + 0.371730i −0.00188515 + 0.00158183i
\(236\) −13.7222 20.8636i −0.0581449 0.0884050i
\(237\) 268.249 263.584i 1.13185 1.11217i
\(238\) 17.4077 + 23.3826i 0.0731415 + 0.0982461i
\(239\) −50.9717 101.493i −0.213271 0.424657i 0.761406 0.648275i \(-0.224509\pi\)
−0.974677 + 0.223618i \(0.928213\pi\)
\(240\) 0.0568171 + 0.0939488i 0.000236738 + 0.000391454i
\(241\) −278.233 + 65.9425i −1.15450 + 0.273621i −0.762900 0.646517i \(-0.776225\pi\)
−0.391596 + 0.920137i \(0.628077\pi\)
\(242\) 142.586i 0.589200i
\(243\) −221.681 99.5310i −0.912269 0.409592i
\(244\) −31.4014 −0.128694
\(245\) −0.0808809 0.341263i −0.000330126 0.00139291i
\(246\) −36.5403 + 22.0983i −0.148538 + 0.0898307i
\(247\) 114.122 57.3142i 0.462032 0.232041i
\(248\) −23.1687 + 17.2484i −0.0934220 + 0.0695501i
\(249\) −9.52707 9.69567i −0.0382613 0.0389384i
\(250\) −0.540529 + 0.355512i −0.00216212 + 0.00142205i
\(251\) 88.5221 + 105.496i 0.352678 + 0.420305i 0.912993 0.407974i \(-0.133765\pi\)
−0.560316 + 0.828279i \(0.689320\pi\)
\(252\) 31.4398 + 49.6785i 0.124761 + 0.197137i
\(253\) −140.855 118.192i −0.556740 0.467161i
\(254\) −21.2095 + 181.459i −0.0835019 + 0.714404i
\(255\) 0.0922288 0.146632i 0.000361682 0.000575027i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) −121.427 114.560i −0.472478 0.445760i 0.412800 0.910822i \(-0.364551\pi\)
−0.885278 + 0.465061i \(0.846032\pi\)
\(258\) 80.7784 198.246i 0.313095 0.768397i
\(259\) 16.7230 22.4629i 0.0645675 0.0867292i
\(260\) −0.0981502 0.0173065i −0.000377501 6.65636e-5i
\(261\) −6.87605 24.5253i −0.0263450 0.0939668i
\(262\) 58.9530 + 334.339i 0.225011 + 1.27610i
\(263\) 174.889 348.233i 0.664978 1.32408i −0.267746 0.963490i \(-0.586279\pi\)
0.932724 0.360591i \(-0.117425\pi\)
\(264\) 54.4120 114.064i 0.206106 0.432062i
\(265\) −0.542773 + 0.0634411i −0.00204820 + 0.000239400i
\(266\) 59.5149 90.4880i 0.223740 0.340180i
\(267\) −278.550 95.0208i −1.04326 0.355883i
\(268\) 44.9328 150.086i 0.167660 0.560022i
\(269\) 412.164 237.963i 1.53221 0.884620i 0.532947 0.846149i \(-0.321085\pi\)
0.999260 0.0384712i \(-0.0122488\pi\)
\(270\) 0.207844 0.280808i 0.000769794 0.00104003i
\(271\) 120.932 209.460i 0.446243 0.772915i −0.551895 0.833913i \(-0.686095\pi\)
0.998138 + 0.0609985i \(0.0194285\pi\)
\(272\) −18.3617 + 17.3234i −0.0675063 + 0.0636889i
\(273\) −52.7342 8.19747i −0.193166 0.0300274i
\(274\) 8.31018 142.680i 0.0303291 0.520731i
\(275\) 341.891 + 147.477i 1.24324 + 0.536281i
\(276\) 30.7151 + 67.4059i 0.111286 + 0.244224i
\(277\) −12.0942 207.650i −0.0436615 0.749639i −0.947103 0.320928i \(-0.896005\pi\)
0.903442 0.428710i \(-0.141032\pi\)
\(278\) 119.815 329.188i 0.430988 1.18413i
\(279\) 78.7771 + 47.3435i 0.282355 + 0.169690i
\(280\) −0.0794266 + 0.0289089i −0.000283666 + 0.000103246i
\(281\) 138.978 59.9492i 0.494583 0.213342i −0.134154 0.990961i \(-0.542832\pi\)
0.628737 + 0.777618i \(0.283572\pi\)
\(282\) −198.755 180.025i −0.704804 0.638387i
\(283\) 78.1517 + 18.5223i 0.276154 + 0.0654498i 0.366359 0.930473i \(-0.380604\pi\)
−0.0902050 + 0.995923i \(0.528752\pi\)
\(284\) 62.0471 261.797i 0.218476 0.921822i
\(285\) −0.629131 0.135669i −0.00220748 0.000476030i
\(286\) 45.4378 + 105.337i 0.158873 + 0.368310i
\(287\) −11.2438 30.8920i −0.0391769 0.107638i
\(288\) −39.5686 + 32.0363i −0.137391 + 0.111237i
\(289\) −234.145 85.2218i −0.810190 0.294885i
\(290\) 0.0365576 0.00212924i 0.000126061 7.34221e-6i
\(291\) −1.84386 + 19.1404i −0.00633629 + 0.0657747i
\(292\) −11.2911 + 26.1757i −0.0386681 + 0.0896427i
\(293\) −113.665 6.62024i −0.387936 0.0225947i −0.136931 0.990581i \(-0.543724\pi\)
−0.251005 + 0.967986i \(0.580761\pi\)
\(294\) 151.660 58.7158i 0.515849 0.199714i
\(295\) −0.0783954 0.0830943i −0.000265747 0.000281676i
\(296\) 21.0019 + 12.1255i 0.0709525 + 0.0409644i
\(297\) −401.514 22.2668i −1.35190 0.0749725i
\(298\) 66.4393 + 115.076i 0.222951 + 0.386162i
\(299\) −64.4156 19.2848i −0.215437 0.0644975i
\(300\) −98.7325 112.924i −0.329108 0.376412i
\(301\) 137.691 + 90.5605i 0.457444 + 0.300865i
\(302\) 33.4917 + 286.539i 0.110900 + 0.948806i
\(303\) −28.3167 360.000i −0.0934544 1.18812i
\(304\) 83.8135 + 42.0927i 0.275702 + 0.138463i
\(305\) −0.141470 + 0.0249450i −0.000463837 + 8.17870e-5i
\(306\) 73.1867 + 33.1041i 0.239172 + 0.108183i
\(307\) 61.1465 346.779i 0.199174 1.12957i −0.707173 0.707041i \(-0.750030\pi\)
0.906347 0.422533i \(-0.138859\pi\)
\(308\) 78.0397 + 58.0984i 0.253376 + 0.188631i
\(309\) −279.132 + 216.757i −0.903338 + 0.701480i
\(310\) −0.0906779 + 0.0961130i −0.000292509 + 0.000310042i
\(311\) 277.727 83.1461i 0.893014 0.267351i 0.192761 0.981246i \(-0.438256\pi\)
0.700253 + 0.713895i \(0.253071\pi\)
\(312\) 1.74925 46.1817i 0.00560656 0.148018i
\(313\) −601.329 70.2853i −1.92118 0.224554i −0.931069 0.364843i \(-0.881123\pi\)
−0.990111 + 0.140290i \(0.955197\pi\)
\(314\) 2.15880 2.57276i 0.00687517 0.00819350i
\(315\) 0.181108 + 0.198837i 0.000574945 + 0.000631229i
\(316\) −192.061 + 161.158i −0.607788 + 0.509995i
\(317\) 320.908 + 487.917i 1.01233 + 1.53917i 0.831400 + 0.555675i \(0.187540\pi\)
0.180929 + 0.983496i \(0.442090\pi\)
\(318\) −63.4355 245.331i −0.199483 0.771482i
\(319\) −25.1708 33.8103i −0.0789054 0.105988i
\(320\) −0.0328501 0.0654099i −0.000102657 0.000204406i
\(321\) −246.969 + 448.570i −0.769374 + 1.39741i
\(322\) −55.4886 + 13.1510i −0.172325 + 0.0408417i
\(323\) 147.976i 0.458129i
\(324\) 142.129 + 77.7385i 0.438671 + 0.239934i
\(325\) 136.161 0.418958
\(326\) −71.7073 302.557i −0.219961 0.928088i
\(327\) −8.83982 435.007i −0.0270331 1.33030i
\(328\) 25.4404 12.7767i 0.0775622 0.0389532i
\(329\) 165.595 123.281i 0.503329 0.374714i
\(330\) 0.154526 0.557109i 0.000468262 0.00168821i
\(331\) −148.765 + 97.8442i −0.449441 + 0.295602i −0.753979 0.656898i \(-0.771868\pi\)
0.304539 + 0.952500i \(0.401498\pi\)
\(332\) 5.82497 + 6.94192i 0.0175451 + 0.0209094i
\(333\) 10.3014 76.4753i 0.0309351 0.229656i
\(334\) 111.091 + 93.2167i 0.332609 + 0.279092i
\(335\) 0.0832050 0.711865i 0.000248373 0.00212497i
\(336\) −18.2983 34.6606i −0.0544592 0.103157i
\(337\) −28.0090 93.5567i −0.0831129 0.277616i 0.906323 0.422585i \(-0.138877\pi\)
−0.989436 + 0.144968i \(0.953692\pi\)
\(338\) −143.330 135.224i −0.424052 0.400072i
\(339\) 63.8605 8.78280i 0.188379 0.0259080i
\(340\) −0.0689620 + 0.0926321i −0.000202829 + 0.000272447i
\(341\) 149.786 + 26.4113i 0.439254 + 0.0774524i
\(342\) 22.5757 297.582i 0.0660107 0.870122i
\(343\) 49.5318 + 280.909i 0.144408 + 0.818977i
\(344\) −64.0502 + 127.534i −0.186192 + 0.370740i
\(345\) 0.191925 + 0.279279i 0.000556304 + 0.000809503i
\(346\) 119.344 13.9493i 0.344925 0.0403160i
\(347\) −361.005 + 548.881i −1.04036 + 1.58179i −0.250874 + 0.968020i \(0.580718\pi\)
−0.789485 + 0.613770i \(0.789652\pi\)
\(348\) 3.28781 + 16.6593i 0.00944773 + 0.0478717i
\(349\) −100.748 + 336.520i −0.288675 + 0.964241i 0.683493 + 0.729957i \(0.260460\pi\)
−0.972168 + 0.234285i \(0.924725\pi\)
\(350\) 100.006 57.7383i 0.285731 0.164967i
\(351\) −138.046 + 50.6793i −0.393293 + 0.144385i
\(352\) −42.1259 + 72.9642i −0.119676 + 0.207285i
\(353\) 32.0293 30.2181i 0.0907346 0.0856037i −0.639538 0.768759i \(-0.720874\pi\)
0.730273 + 0.683156i \(0.239393\pi\)
\(354\) 33.2189 41.2631i 0.0938388 0.116563i
\(355\) 0.0715662 1.22874i 0.000201595 0.00346125i
\(356\) 180.161 + 77.7139i 0.506070 + 0.218297i
\(357\) −35.9119 + 50.3419i −0.100594 + 0.141014i
\(358\) 4.36401 + 74.9271i 0.0121900 + 0.209294i
\(359\) 196.063 538.679i 0.546137 1.50050i −0.292747 0.956190i \(-0.594570\pi\)
0.838885 0.544309i \(-0.183208\pi\)
\(360\) −0.152816 + 0.175764i −0.000424489 + 0.000488232i
\(361\) −177.397 + 64.5671i −0.491403 + 0.178856i
\(362\) −378.287 + 163.177i −1.04499 + 0.450766i
\(363\) −287.942 + 92.6190i −0.793229 + 0.255149i
\(364\) 34.6193 + 8.20493i 0.0951080 + 0.0225410i
\(365\) −0.0300751 + 0.126897i −8.23975e−5 + 0.000347662i
\(366\) −20.3972 63.4127i −0.0557301 0.173259i
\(367\) −37.5215 86.9845i −0.102238 0.237015i 0.859417 0.511275i \(-0.170826\pi\)
−0.961656 + 0.274260i \(0.911567\pi\)
\(368\) −16.8899 46.4046i −0.0458964 0.126099i
\(369\) −68.3611 59.4360i −0.185261 0.161073i
\(370\) 0.104251 + 0.0379442i 0.000281759 + 0.000102552i
\(371\) 194.749 11.3428i 0.524930 0.0305737i
\(372\) −49.8814 35.5833i −0.134090 0.0956541i
\(373\) −189.794 + 439.993i −0.508832 + 1.17961i 0.449326 + 0.893368i \(0.351664\pi\)
−0.958158 + 0.286238i \(0.907595\pi\)
\(374\) 132.703 + 7.72904i 0.354820 + 0.0206659i
\(375\) −1.06904 0.860629i −0.00285076 0.00229501i
\(376\) 122.684 + 130.037i 0.326287 + 0.345844i
\(377\) −13.3490 7.70706i −0.0354086 0.0204431i
\(378\) −79.8997 + 95.7597i −0.211375 + 0.253332i
\(379\) 340.550 + 589.849i 0.898548 + 1.55633i 0.829351 + 0.558727i \(0.188710\pi\)
0.0691963 + 0.997603i \(0.477957\pi\)
\(380\) 0.411037 + 0.123056i 0.00108168 + 0.000323832i
\(381\) −380.219 + 75.0381i −0.997949 + 0.196950i
\(382\) 207.623 + 136.556i 0.543516 + 0.357476i
\(383\) 30.3096 + 259.315i 0.0791374 + 0.677064i 0.973335 + 0.229390i \(0.0736732\pi\)
−0.894197 + 0.447673i \(0.852253\pi\)
\(384\) 27.9726 19.2232i 0.0728453 0.0500605i
\(385\) 0.397739 + 0.199752i 0.00103309 + 0.000518837i
\(386\) −201.701 + 35.5653i −0.522541 + 0.0921380i
\(387\) 452.814 + 34.3521i 1.17006 + 0.0887652i
\(388\) 2.22606 12.6246i 0.00573726 0.0325376i
\(389\) −202.464 150.729i −0.520473 0.387478i 0.304621 0.952474i \(-0.401470\pi\)
−0.825094 + 0.564996i \(0.808878\pi\)
\(390\) −0.0288057 0.209448i −7.38607e−5 0.000537047i
\(391\) −53.4672 + 56.6720i −0.136745 + 0.144941i
\(392\) −103.865 + 31.0950i −0.264961 + 0.0793241i
\(393\) −636.878 + 336.226i −1.62055 + 0.855536i
\(394\) −268.952 31.4360i −0.682620 0.0797868i
\(395\) −0.737255 + 0.878626i −0.00186647 + 0.00222437i
\(396\) 265.688 + 35.7888i 0.670929 + 0.0903757i
\(397\) −481.757 + 404.242i −1.21349 + 1.01824i −0.214356 + 0.976756i \(0.568765\pi\)
−0.999139 + 0.0414871i \(0.986790\pi\)
\(398\) −174.223 264.894i −0.437747 0.665562i
\(399\) 221.392 + 61.4079i 0.554867 + 0.153905i
\(400\) 59.7157 + 80.2121i 0.149289 + 0.200530i
\(401\) 59.0773 + 117.632i 0.147325 + 0.293348i 0.955176 0.296039i \(-0.0956658\pi\)
−0.807851 + 0.589387i \(0.799369\pi\)
\(402\) 332.274 6.75217i 0.826551 0.0167964i
\(403\) 54.1206 12.8268i 0.134294 0.0318283i
\(404\) 240.741i 0.595894i
\(405\) 0.702079 + 0.237323i 0.00173353 + 0.000585982i
\(406\) −13.0725 −0.0321983
\(407\) −29.4494 124.257i −0.0723573 0.305300i
\(408\) −46.9103 25.8274i −0.114976 0.0633025i
\(409\) 434.636 218.282i 1.06268 0.533697i 0.170490 0.985359i \(-0.445465\pi\)
0.892189 + 0.451662i \(0.149169\pi\)
\(410\) 0.104465 0.0777713i 0.000254793 0.000189686i
\(411\) 293.530 75.8982i 0.714184 0.184667i
\(412\) 196.846 129.468i 0.477782 0.314242i
\(413\) 26.2136 + 31.2402i 0.0634712 + 0.0756421i
\(414\) −116.170 + 105.811i −0.280603 + 0.255582i
\(415\) 0.0317574 + 0.0266476i 7.65238e−5 + 6.42111e-5i
\(416\) −3.57681 + 30.6016i −0.00859810 + 0.0735615i
\(417\) 742.598 + 28.1277i 1.78081 + 0.0674525i
\(418\) −141.644 473.124i −0.338861 1.13188i
\(419\) 370.919 + 349.944i 0.885247 + 0.835188i 0.987181 0.159604i \(-0.0510216\pi\)
−0.101934 + 0.994791i \(0.532503\pi\)
\(420\) −0.109972 0.141618i −0.000261838 0.000337185i
\(421\) 298.629 401.128i 0.709331 0.952797i −0.290661 0.956826i \(-0.593875\pi\)
0.999992 + 0.00402887i \(0.00128243\pi\)
\(422\) 301.533 + 53.1683i 0.714532 + 0.125991i
\(423\) 234.443 518.308i 0.554238 1.22531i
\(424\) 29.3350 + 166.367i 0.0691862 + 0.392375i
\(425\) 70.8086 140.992i 0.166609 0.331745i
\(426\) 568.983 44.7548i 1.33564 0.105058i
\(427\) 50.9346 5.95340i 0.119285 0.0139424i
\(428\) 187.589 285.215i 0.438292 0.666390i
\(429\) −183.204 + 160.181i −0.427050 + 0.373382i
\(430\) −0.187248 + 0.625452i −0.000435460 + 0.00145454i
\(431\) 108.278 62.5144i 0.251225 0.145045i −0.369100 0.929390i \(-0.620334\pi\)
0.620325 + 0.784345i \(0.287001\pi\)
\(432\) −90.3972 59.0961i −0.209253 0.136797i
\(433\) −209.622 + 363.075i −0.484115 + 0.838511i −0.999834 0.0182465i \(-0.994192\pi\)
0.515719 + 0.856758i \(0.327525\pi\)
\(434\) 34.3106 32.3703i 0.0790566 0.0745861i
\(435\) 0.0280464 + 0.0724422i 6.44744e−5 + 0.000166534i
\(436\) −16.8657 + 289.574i −0.0386829 + 0.664160i
\(437\) 265.800 + 114.655i 0.608238 + 0.262368i
\(438\) −60.1940 5.79869i −0.137429 0.0132390i
\(439\) −30.4417 522.664i −0.0693434 1.19058i −0.836076 0.548613i \(-0.815156\pi\)
0.766733 0.641966i \(-0.221881\pi\)
\(440\) −0.131824 + 0.362184i −0.000299601 + 0.000823146i
\(441\) 217.085 + 268.125i 0.492256 + 0.607994i
\(442\) 45.6785 16.6256i 0.103345 0.0376145i
\(443\) −763.003 + 329.127i −1.72235 + 0.742951i −0.723754 + 0.690058i \(0.757585\pi\)
−0.998600 + 0.0528928i \(0.983156\pi\)
\(444\) −10.8443 + 50.2880i −0.0244242 + 0.113261i
\(445\) 0.873401 + 0.207000i 0.00196270 + 0.000465168i
\(446\) 26.0639 109.972i 0.0584393 0.246575i
\(447\) −189.231 + 208.918i −0.423335 + 0.467379i
\(448\) 10.3494 + 23.9925i 0.0231012 + 0.0535547i
\(449\) −63.2702 173.833i −0.140914 0.387157i 0.849081 0.528263i \(-0.177156\pi\)
−0.989994 + 0.141106i \(0.954934\pi\)
\(450\) 163.907 272.734i 0.364239 0.606075i
\(451\) −140.867 51.2715i −0.312344 0.113684i
\(452\) −42.9017 + 2.49874i −0.0949153 + 0.00552819i
\(453\) −556.889 + 253.760i −1.22934 + 0.560176i
\(454\) 65.3330 151.459i 0.143905 0.333610i
\(455\) 0.162486 + 0.00946371i 0.000357111 + 2.07994e-5i
\(456\) −30.5608 + 196.597i −0.0670192 + 0.431133i
\(457\) 44.8735 + 47.5632i 0.0981915 + 0.104077i 0.774606 0.632445i \(-0.217948\pi\)
−0.676414 + 0.736522i \(0.736467\pi\)
\(458\) 86.2125 + 49.7748i 0.188237 + 0.108679i
\(459\) −19.3117 + 169.298i −0.0420733 + 0.368841i
\(460\) −0.112956 0.195646i −0.000245557 0.000425317i
\(461\) −707.273 211.744i −1.53422 0.459314i −0.595312 0.803495i \(-0.702972\pi\)
−0.938903 + 0.344181i \(0.888157\pi\)
\(462\) −66.6335 + 195.334i −0.144228 + 0.422800i
\(463\) 309.468 + 203.540i 0.668397 + 0.439611i 0.837831 0.545930i \(-0.183824\pi\)
−0.169434 + 0.985542i \(0.554194\pi\)
\(464\) −1.31422 11.2439i −0.00283238 0.0242326i
\(465\) −0.252994 0.120685i −0.000544073 0.000259539i
\(466\) 310.565 + 155.972i 0.666449 + 0.334703i
\(467\) −733.482 + 129.333i −1.57063 + 0.276944i −0.890095 0.455775i \(-0.849362\pi\)
−0.680531 + 0.732719i \(0.738251\pi\)
\(468\) 94.3967 26.4655i 0.201702 0.0565503i
\(469\) −44.4283 + 251.966i −0.0947299 + 0.537240i
\(470\) 0.656019 + 0.488388i 0.00139579 + 0.00103912i
\(471\) 6.59777 + 2.68836i 0.0140080 + 0.00570777i
\(472\) −24.2349 + 25.6875i −0.0513451 + 0.0544226i
\(473\) 719.926 215.532i 1.52204 0.455670i
\(474\) −450.203 283.170i −0.949795 0.597404i
\(475\) −582.220 68.0518i −1.22573 0.143267i
\(476\) 26.4993 31.5806i 0.0556707 0.0663458i
\(477\) 454.222 287.462i 0.952248 0.602645i
\(478\) −123.040 + 103.243i −0.257406 + 0.215989i
\(479\) −290.605 441.844i −0.606692 0.922430i −0.999995 0.00302119i \(-0.999038\pi\)
0.393304 0.919409i \(-0.371332\pi\)
\(480\) 0.110752 0.108826i 0.000230733 0.000226721i
\(481\) −27.8861 37.4576i −0.0579754 0.0778744i
\(482\) 181.486 + 361.369i 0.376527 + 0.749728i
\(483\) −62.6009 103.512i −0.129608 0.214311i
\(484\) 196.212 46.5032i 0.405397 0.0960809i
\(485\) 0.0586450i 0.000120918i
\(486\) −64.6647 + 337.515i −0.133055 + 0.694476i
\(487\) 881.791 1.81066 0.905329 0.424711i \(-0.139624\pi\)
0.905329 + 0.424711i \(0.139624\pi\)
\(488\) 10.2413 + 43.2112i 0.0209862 + 0.0885476i
\(489\) 564.411 341.337i 1.15422 0.698031i
\(490\) −0.443232 + 0.222599i −0.000904554 + 0.000454284i
\(491\) 20.0810 14.9498i 0.0408982 0.0304476i −0.576515 0.817086i \(-0.695588\pi\)
0.617414 + 0.786639i \(0.288181\pi\)
\(492\) 42.3266 + 43.0757i 0.0860298 + 0.0875522i
\(493\) −14.9224 + 9.81464i −0.0302686 + 0.0199080i
\(494\) −116.089 138.350i −0.234999 0.280061i
\(495\) 1.22541 0.0498241i 0.00247558 0.000100655i
\(496\) 31.2917 + 26.2568i 0.0630880 + 0.0529371i
\(497\) −51.0092 + 436.412i −0.102634 + 0.878092i
\(498\) −10.2350 + 16.2723i −0.0205522 + 0.0326753i
\(499\) −66.3700 221.691i −0.133006 0.444271i 0.865377 0.501122i \(-0.167079\pi\)
−0.998383 + 0.0568508i \(0.981894\pi\)
\(500\) 0.665505 + 0.627872i 0.00133101 + 0.00125574i
\(501\) −116.083 + 284.891i −0.231703 + 0.568644i
\(502\) 116.302 156.221i 0.231678 0.311198i
\(503\) −851.061 150.065i −1.69197 0.298340i −0.757092 0.653308i \(-0.773381\pi\)
−0.934879 + 0.354968i \(0.884492\pi\)
\(504\) 58.1085 59.4663i 0.115295 0.117989i
\(505\) 0.191243 + 1.08459i 0.000378699 + 0.00214771i
\(506\) −116.704 + 232.377i −0.230641 + 0.459243i
\(507\) 179.974 377.280i 0.354977 0.744142i
\(508\) 256.621 29.9947i 0.505160 0.0590447i
\(509\) −374.241 + 569.006i −0.735248 + 1.11789i 0.253360 + 0.967372i \(0.418464\pi\)
−0.988607 + 0.150518i \(0.951906\pi\)
\(510\) −0.231859 0.0790930i −0.000454625 0.000155084i
\(511\) 13.3520 44.5989i 0.0261292 0.0872777i
\(512\) −19.5959 + 11.3137i −0.0382733 + 0.0220971i
\(513\) 615.608 147.709i 1.20002 0.287931i
\(514\) −118.044 + 204.458i −0.229657 + 0.397777i
\(515\) 0.783987 0.739654i 0.00152231 0.00143622i
\(516\) −299.150 46.5026i −0.579749 0.0901213i
\(517\) 54.7370 939.798i 0.105874 1.81779i
\(518\) −36.3650 15.6863i −0.0702028 0.0302825i
\(519\) 105.691 + 231.945i 0.203644 + 0.446908i
\(520\) 0.00819532 + 0.140708i 1.57602e−5 + 0.000270593i
\(521\) 314.793 864.886i 0.604209 1.66005i −0.138442 0.990371i \(-0.544209\pi\)
0.742650 0.669679i \(-0.233568\pi\)
\(522\) −31.5066 + 17.4608i −0.0603575 + 0.0334498i
\(523\) −401.211 + 146.029i −0.767133 + 0.279214i −0.695797 0.718239i \(-0.744949\pi\)
−0.0713365 + 0.997452i \(0.522726\pi\)
\(524\) 440.855 190.166i 0.841326 0.362913i
\(525\) 181.558 + 164.449i 0.345825 + 0.313236i
\(526\) −536.240 127.091i −1.01947 0.241618i
\(527\) 14.8628 62.7109i 0.0282026 0.118996i
\(528\) −174.709 37.6751i −0.330888 0.0713543i
\(529\) 149.157 + 345.786i 0.281961 + 0.653659i
\(530\) 0.264321 + 0.726216i 0.000498719 + 0.00137022i
\(531\) 104.906 + 40.2800i 0.197562 + 0.0758569i
\(532\) −143.930 52.3863i −0.270545 0.0984704i
\(533\) −54.7268 + 3.18747i −0.102677 + 0.00598025i
\(534\) −39.9110 + 414.301i −0.0747398 + 0.775845i
\(535\) 0.618557 1.43398i 0.00115618 0.00268033i
\(536\) −221.187 12.8827i −0.412662 0.0240348i
\(537\) −148.475 + 57.4827i −0.276489 + 0.107044i
\(538\) −461.882 489.566i −0.858517 0.909975i
\(539\) 494.421 + 285.454i 0.917293 + 0.529599i
\(540\) −0.454205 0.194430i −0.000841120 0.000360056i
\(541\) 27.3101 + 47.3025i 0.0504808 + 0.0874354i 0.890162 0.455645i \(-0.150591\pi\)
−0.839681 + 0.543080i \(0.817258\pi\)
\(542\) −327.677 98.1001i −0.604570 0.180996i
\(543\) −575.245 657.928i −1.05938 1.21165i
\(544\) 29.8271 + 19.6176i 0.0548292 + 0.0360617i
\(545\) 0.154051 + 1.31799i 0.000282663 + 0.00241833i
\(546\) 5.91825 + 75.2407i 0.0108393 + 0.137803i
\(547\) −503.678 252.957i −0.920801 0.462444i −0.0757488 0.997127i \(-0.524135\pi\)
−0.845053 + 0.534683i \(0.820431\pi\)
\(548\) −199.052 + 35.0982i −0.363233 + 0.0640478i
\(549\) 114.808 82.3812i 0.209121 0.150057i
\(550\) 91.4382 518.572i 0.166251 0.942858i
\(551\) 53.2280 + 39.6268i 0.0966025 + 0.0719179i
\(552\) 82.7394 64.2506i 0.149890 0.116396i
\(553\) 280.978 297.820i 0.508098 0.538553i
\(554\) −281.801 + 84.3658i −0.508666 + 0.152285i
\(555\) −0.00890777 + 0.235173i −1.60500e−5 + 0.000423736i
\(556\) −492.070 57.5148i −0.885019 0.103444i
\(557\) −358.943 + 427.772i −0.644423 + 0.767993i −0.985062 0.172201i \(-0.944912\pi\)
0.340639 + 0.940194i \(0.389357\pi\)
\(558\) 39.4566 123.845i 0.0707108 0.221945i
\(559\) 210.520 176.647i 0.376600 0.316005i
\(560\) 0.0656856 + 0.0998701i 0.000117296 + 0.000178339i
\(561\) 70.5906 + 273.003i 0.125830 + 0.486636i
\(562\) −127.822 171.695i −0.227441 0.305506i
\(563\) −52.9285 105.389i −0.0940115 0.187192i 0.841712 0.539927i \(-0.181548\pi\)
−0.935723 + 0.352735i \(0.885252\pi\)
\(564\) −182.909 + 332.219i −0.324308 + 0.589040i
\(565\) −0.191297 + 0.0453382i −0.000338578 + 8.02446e-5i
\(566\) 113.585i 0.200680i
\(567\) −245.279 99.1493i −0.432591 0.174866i
\(568\) −380.494 −0.669883
\(569\) −37.9245 160.016i −0.0666512 0.281223i 0.929506 0.368807i \(-0.120234\pi\)
−0.996157 + 0.0875836i \(0.972086\pi\)
\(570\) 0.0184920 + 0.909989i 3.24421e−5 + 0.00159647i
\(571\) 200.702 100.796i 0.351492 0.176526i −0.264289 0.964444i \(-0.585137\pi\)
0.615780 + 0.787918i \(0.288841\pi\)
\(572\) 130.134 96.8811i 0.227507 0.169373i
\(573\) −140.899 + 507.980i −0.245898 + 0.886527i
\(574\) −38.8433 + 25.5476i −0.0676712 + 0.0445081i
\(575\) 198.391 + 236.433i 0.345027 + 0.411187i
\(576\) 56.9898 + 44.0018i 0.0989407 + 0.0763920i
\(577\) −306.329 257.041i −0.530900 0.445478i 0.337512 0.941321i \(-0.390415\pi\)
−0.868412 + 0.495843i \(0.834859\pi\)
\(578\) −40.9091 + 349.999i −0.0707769 + 0.605535i
\(579\) −202.839 384.217i −0.350326 0.663587i
\(580\) −0.0148529 0.0496123i −2.56085e−5 8.55384e-5i
\(581\) −10.7645 10.1558i −0.0185275 0.0174798i
\(582\) 26.9404 3.70514i 0.0462893 0.00636622i
\(583\) 531.207 713.535i 0.911162 1.22390i
\(584\) 39.7027 + 7.00065i 0.0679840 + 0.0119874i
\(585\) 0.404254 0.194221i 0.000691032 0.000332002i
\(586\) 27.9607 + 158.573i 0.0477145 + 0.270602i
\(587\) 90.2200 179.643i 0.153697 0.306036i −0.803586 0.595189i \(-0.797077\pi\)
0.957283 + 0.289153i \(0.0933736\pi\)
\(588\) −130.261 189.548i −0.221532 0.322361i
\(589\) −237.828 + 27.7981i −0.403783 + 0.0471955i
\(590\) −0.0887776 + 0.134980i −0.000150470 + 0.000228779i
\(591\) −111.219 563.548i −0.188188 0.953550i
\(592\) 9.83621 32.8552i 0.0166152 0.0554987i
\(593\) 423.475 244.493i 0.714123 0.412299i −0.0984630 0.995141i \(-0.531393\pi\)
0.812586 + 0.582842i \(0.198059\pi\)
\(594\) 100.309 + 559.783i 0.168870 + 0.942396i
\(595\) 0.0942977 0.163328i 0.000158483 0.000274501i
\(596\) 136.687 128.958i 0.229341 0.216372i
\(597\) 421.763 523.896i 0.706471 0.877547i
\(598\) −5.52912 + 94.9314i −0.00924603 + 0.158748i
\(599\) 209.807 + 90.5018i 0.350262 + 0.151088i 0.563940 0.825816i \(-0.309285\pi\)
−0.213678 + 0.976904i \(0.568544\pi\)
\(600\) −123.193 + 172.694i −0.205321 + 0.287823i
\(601\) −60.5467 1039.55i −0.100743 1.72969i −0.549029 0.835803i \(-0.685002\pi\)
0.448286 0.893890i \(-0.352035\pi\)
\(602\) 79.7133 219.010i 0.132414 0.363805i
\(603\) 229.468 + 666.615i 0.380545 + 1.10550i
\(604\) 383.382 139.540i 0.634739 0.231026i
\(605\) 0.847038 0.365376i 0.00140006 0.000603928i
\(606\) −486.158 + 156.377i −0.802241 + 0.258047i
\(607\) 358.327 + 84.9251i 0.590325 + 0.139910i 0.514912 0.857243i \(-0.327825\pi\)
0.0754124 + 0.997152i \(0.475973\pi\)
\(608\) 30.5886 129.063i 0.0503102 0.212275i
\(609\) −8.49144 26.3989i −0.0139433 0.0433480i
\(610\) 0.0804658 + 0.186541i 0.000131911 + 0.000305804i
\(611\) −117.742 323.495i −0.192704 0.529451i
\(612\) 21.6852 111.508i 0.0354333 0.182203i
\(613\) 507.792 + 184.821i 0.828372 + 0.301503i 0.721191 0.692737i \(-0.243595\pi\)
0.107181 + 0.994239i \(0.465817\pi\)
\(614\) −497.143 + 28.9553i −0.809679 + 0.0471584i
\(615\) 0.224910 + 0.160442i 0.000365707 + 0.000260881i
\(616\) 54.4970 126.338i 0.0884691 0.205094i
\(617\) −526.412 30.6600i −0.853181 0.0496921i −0.374021 0.927420i \(-0.622021\pi\)
−0.479159 + 0.877728i \(0.659058\pi\)
\(618\) 389.314 + 313.418i 0.629958 + 0.507149i
\(619\) 754.846 + 800.090i 1.21946 + 1.29255i 0.943496 + 0.331385i \(0.107516\pi\)
0.275965 + 0.961168i \(0.411003\pi\)
\(620\) 0.161834 + 0.0934349i 0.000261023 + 0.000150702i
\(621\) −289.137 165.864i −0.465599 0.267092i
\(622\) −204.995 355.062i −0.329574 0.570839i
\(623\) −306.964 91.8990i −0.492719 0.147510i
\(624\) −64.1209 + 12.6546i −0.102758 + 0.0202798i
\(625\) −522.175 343.440i −0.835479 0.549503i
\(626\) 99.3984 + 850.408i 0.158783 + 1.35848i
\(627\) 863.430 593.363i 1.37708 0.946353i
\(628\) −4.24443 2.13163i −0.00675865 0.00339432i
\(629\) −53.2882 + 9.39614i −0.0847189 + 0.0149382i
\(630\) 0.214552 0.314070i 0.000340559 0.000498523i
\(631\) 23.6722 134.251i 0.0375153 0.212760i −0.960288 0.279012i \(-0.909993\pi\)
0.997803 + 0.0662522i \(0.0211042\pi\)
\(632\) 284.408 + 211.734i 0.450012 + 0.335022i
\(633\) 88.4954 + 643.458i 0.139803 + 1.01652i
\(634\) 566.758 600.729i 0.893941 0.947522i
\(635\) 1.13231 0.338991i 0.00178316 0.000533844i
\(636\) −316.910 + 167.306i −0.498286 + 0.263059i
\(637\) 207.363 + 24.2372i 0.325530 + 0.0380490i
\(638\) −38.3169 + 45.6643i −0.0600578 + 0.0715741i
\(639\) 459.970 + 1119.95i 0.719828 + 1.75265i
\(640\) −0.0792964 + 0.0665376i −0.000123901 + 0.000103965i
\(641\) 135.134 + 205.462i 0.210818 + 0.320533i 0.925381 0.379038i \(-0.123745\pi\)
−0.714563 + 0.699571i \(0.753375\pi\)
\(642\) 697.820 + 193.556i 1.08695 + 0.301489i
\(643\) 499.717 + 671.237i 0.777165 + 1.04391i 0.997650 + 0.0685234i \(0.0218288\pi\)
−0.220484 + 0.975390i \(0.570764\pi\)
\(644\) 36.1941 + 72.0684i 0.0562020 + 0.111907i
\(645\) −1.38468 + 0.0281382i −0.00214679 + 4.36252e-5i
\(646\) −203.628 + 48.2608i −0.315214 + 0.0747072i
\(647\) 314.741i 0.486462i −0.969968 0.243231i \(-0.921793\pi\)
0.969968 0.243231i \(-0.0782072\pi\)
\(648\) 60.6213 220.937i 0.0935514 0.340952i
\(649\) 185.961 0.286535
\(650\) −44.4077 187.371i −0.0683195 0.288263i
\(651\) 87.6563 + 48.2609i 0.134649 + 0.0741335i
\(652\) −392.960 + 197.352i −0.602699 + 0.302687i
\(653\) −613.841 + 456.988i −0.940033 + 0.699828i −0.953916 0.300075i \(-0.902988\pi\)
0.0138828 + 0.999904i \(0.495581\pi\)
\(654\) −595.727 + 154.038i −0.910898 + 0.235531i
\(655\) 1.83508 1.20695i 0.00280165 0.00184268i
\(656\) −25.8790 30.8414i −0.0394497 0.0470143i
\(657\) −27.3899 125.324i −0.0416893 0.190752i
\(658\) −223.653 187.667i −0.339899 0.285209i
\(659\) 22.6112 193.451i 0.0343114 0.293553i −0.965178 0.261595i \(-0.915752\pi\)
0.999489 0.0319581i \(-0.0101743\pi\)
\(660\) −0.817031 0.0309471i −0.00123793 4.68895e-5i
\(661\) −175.419 585.942i −0.265385 0.886447i −0.981984 0.188962i \(-0.939488\pi\)
0.716599 0.697485i \(-0.245698\pi\)
\(662\) 183.161 + 172.803i 0.276678 + 0.261032i
\(663\) 63.2452 + 81.4447i 0.0953925 + 0.122843i
\(664\) 7.65298 10.2797i 0.0115256 0.0154815i
\(665\) −0.690052 0.121675i −0.00103767 0.000182970i
\(666\) −108.597 + 10.7660i −0.163058 + 0.0161651i
\(667\) −6.06721 34.4089i −0.00909627 0.0515875i
\(668\) 92.0436 183.274i 0.137790 0.274362i
\(669\) 239.011 18.8000i 0.357266 0.0281016i
\(670\) −1.00673 + 0.117670i −0.00150258 + 0.000175626i
\(671\) 128.498 195.372i 0.191503 0.291166i
\(672\) −41.7284 + 36.4844i −0.0620959 + 0.0542922i
\(673\) −28.4939 + 95.1763i −0.0423387 + 0.141421i −0.976546 0.215310i \(-0.930924\pi\)
0.934207 + 0.356731i \(0.116109\pi\)
\(674\) −119.608 + 69.0556i −0.177460 + 0.102456i
\(675\) 657.233 + 153.840i 0.973678 + 0.227912i
\(676\) −139.336 + 241.337i −0.206118 + 0.357007i
\(677\) −460.124 + 434.104i −0.679651 + 0.641218i −0.946569 0.322501i \(-0.895476\pi\)
0.266918 + 0.963719i \(0.413995\pi\)
\(678\) −32.9134 85.0136i −0.0485449 0.125389i
\(679\) −1.21727 + 20.8998i −0.00179274 + 0.0307802i
\(680\) 0.149962 + 0.0646871i 0.000220532 + 9.51281e-5i
\(681\) 348.297 + 33.5526i 0.511450 + 0.0492697i
\(682\) −12.5068 214.733i −0.0183384 0.314857i
\(683\) −368.595 + 1012.71i −0.539670 + 1.48273i 0.307572 + 0.951525i \(0.400483\pi\)
−0.847242 + 0.531207i \(0.821739\pi\)
\(684\) −416.863 + 65.9871i −0.609449 + 0.0964724i
\(685\) −0.868890 + 0.316250i −0.00126845 + 0.000461679i
\(686\) 370.403 159.776i 0.539946 0.232910i
\(687\) −44.5158 + 206.431i −0.0647974 + 0.300482i
\(688\) 196.389 + 46.5449i 0.285448 + 0.0676525i
\(689\) 75.0196 316.533i 0.108882 0.459409i
\(690\) 0.321719 0.355191i 0.000466260 0.000514769i
\(691\) 235.679 + 546.366i 0.341070 + 0.790688i 0.999283 + 0.0378570i \(0.0120531\pi\)
−0.658214 + 0.752831i \(0.728688\pi\)
\(692\) −58.1185 159.679i −0.0839862 0.230750i
\(693\) −437.744 7.67927i −0.631665 0.0110812i
\(694\) 873.049 + 317.764i 1.25800 + 0.457873i
\(695\) −2.26258 + 0.131780i −0.00325550 + 0.000189612i
\(696\) 21.8525 9.95761i 0.0313973 0.0143069i
\(697\) −25.1593 + 58.3258i −0.0360965 + 0.0836812i
\(698\) 495.941 + 28.8853i 0.710517 + 0.0413829i
\(699\) −113.241 + 728.476i −0.162004 + 1.04217i
\(700\) −112.069 118.786i −0.160099 0.169695i
\(701\) 501.730 + 289.674i 0.715735 + 0.413230i 0.813181 0.582011i \(-0.197734\pi\)
−0.0974462 + 0.995241i \(0.531067\pi\)
\(702\) 114.762 + 173.436i 0.163478 + 0.247059i
\(703\) 100.519 + 174.104i 0.142986 + 0.247659i
\(704\) 114.144 + 34.1726i 0.162137 + 0.0485406i
\(705\) −0.560136 + 1.64202i −0.000794519 + 0.00232911i
\(706\) −52.0290 34.2200i −0.0736954 0.0484703i
\(707\) −45.6422 390.494i −0.0645576 0.552325i
\(708\) −67.6160 32.2548i −0.0955028 0.0455576i
\(709\) 544.264 + 273.340i 0.767651 + 0.385529i 0.789119 0.614241i \(-0.210538\pi\)
−0.0214678 + 0.999770i \(0.506834\pi\)
\(710\) −1.71421 + 0.302261i −0.00241438 + 0.000425720i
\(711\) 279.404 1093.09i 0.392973 1.53739i
\(712\) 48.1838 273.264i 0.0676739 0.383798i
\(713\) 101.128 + 75.2869i 0.141834 + 0.105592i
\(714\) 80.9875 + 32.9996i 0.113428 + 0.0462179i
\(715\) 0.509320 0.539848i 0.000712336 0.000755032i
\(716\) 101.683 30.4420i 0.142016 0.0425168i
\(717\) −288.413 181.407i −0.402249 0.253008i
\(718\) −805.217 94.1164i −1.12147 0.131081i
\(719\) −776.180 + 925.015i −1.07953 + 1.28653i −0.123790 + 0.992308i \(0.539505\pi\)
−0.955737 + 0.294222i \(0.904940\pi\)
\(720\) 0.291707 + 0.152966i 0.000405148 + 0.000212452i
\(721\) −294.748 + 247.323i −0.408805 + 0.343028i
\(722\) 146.706 + 223.056i 0.203195 + 0.308942i
\(723\) −611.869 + 601.229i −0.846292 + 0.831576i
\(724\) 347.922 + 467.340i 0.480555 + 0.645497i
\(725\) 31.7537 + 63.2268i 0.0437982 + 0.0872094i
\(726\) 221.362 + 366.029i 0.304906 + 0.504172i
\(727\) −1351.93 + 320.413i −1.85960 + 0.440733i −0.997787 0.0664949i \(-0.978818\pi\)
−0.861812 + 0.507228i \(0.830670\pi\)
\(728\) 50.3154i 0.0691145i
\(729\) −723.590 + 88.6523i −0.992578 + 0.121608i
\(730\) 0.184431 0.000252645
\(731\) −73.4358 309.850i −0.100459 0.423872i
\(732\) −80.6094 + 48.7499i −0.110122 + 0.0665982i
\(733\) 23.8177 11.9617i 0.0324934 0.0163188i −0.432478 0.901644i \(-0.642361\pi\)
0.464972 + 0.885326i \(0.346064\pi\)
\(734\) −107.462 + 80.0021i −0.146405 + 0.108995i
\(735\) −0.737429 0.750479i −0.00100331 0.00102106i
\(736\) −58.3486 + 38.3765i −0.0792779 + 0.0521419i
\(737\) 749.930 + 893.732i 1.01754 + 1.21266i
\(738\) −59.4941 + 113.456i −0.0806153 + 0.153734i
\(739\) 593.959 + 498.391i 0.803733 + 0.674412i 0.949103 0.314965i \(-0.101993\pi\)
−0.145370 + 0.989377i \(0.546437\pi\)
\(740\) 0.0182144 0.155834i 2.46140e−5 0.000210586i
\(741\) 203.980 324.301i 0.275276 0.437653i
\(742\) −79.1243 264.294i −0.106637 0.356191i
\(743\) −219.186 206.792i −0.295002 0.278320i 0.524483 0.851421i \(-0.324259\pi\)
−0.819485 + 0.573101i \(0.805740\pi\)
\(744\) −32.6977 + 80.2466i −0.0439485 + 0.107858i
\(745\) 0.513363 0.689566i 0.000689078 0.000925592i
\(746\) 667.371 + 117.676i 0.894599 + 0.157742i
\(747\) −39.5089 10.0989i −0.0528901 0.0135192i
\(748\) −32.6437 185.132i −0.0436414 0.247503i
\(749\) −250.204 + 498.198i −0.334051 + 0.665150i
\(750\) −0.835650 + 1.75178i −0.00111420 + 0.00233571i
\(751\) −650.484 + 76.0306i −0.866157 + 0.101239i −0.537554 0.843229i \(-0.680652\pi\)
−0.328602 + 0.944468i \(0.606578\pi\)
\(752\) 138.932 211.235i 0.184749 0.280898i
\(753\) 391.023 + 133.388i 0.519286 + 0.177142i
\(754\) −6.25199 + 20.8831i −0.00829176 + 0.0276964i
\(755\) 1.61637 0.933213i 0.00214089 0.00123604i
\(756\) 157.833 + 78.7184i 0.208773 + 0.104125i
\(757\) −358.360 + 620.697i −0.473394 + 0.819943i −0.999536 0.0304538i \(-0.990305\pi\)
0.526142 + 0.850397i \(0.323638\pi\)
\(758\) 700.621 661.001i 0.924302 0.872034i
\(759\) −545.074 84.7312i −0.718148 0.111635i
\(760\) 0.0352814 0.605758i 4.64229e−5 0.000797050i
\(761\) −1149.69 495.927i −1.51076 0.651678i −0.530195 0.847876i \(-0.677881\pi\)
−0.980564 + 0.196197i \(0.937141\pi\)
\(762\) 227.264 + 498.743i 0.298247 + 0.654519i
\(763\) −27.5433 472.900i −0.0360987 0.619791i
\(764\) 120.199 330.245i 0.157329 0.432258i
\(765\) 0.00911519 0.519596i 1.19153e−5 0.000679211i
\(766\) 346.957 126.282i 0.452947 0.164859i
\(767\) 62.4423 26.9350i 0.0814111 0.0351173i
\(768\) −35.5760 32.2235i −0.0463229 0.0419576i
\(769\) −59.6462 14.1364i −0.0775633 0.0183828i 0.191651 0.981463i \(-0.438616\pi\)
−0.269214 + 0.963080i \(0.586764\pi\)
\(770\) 0.145159 0.612473i 0.000188518 0.000795420i