Properties

Label 384.2.v.a.229.10
Level $384$
Weight $2$
Character 384.229
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.v (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 229.10
Character \(\chi\) \(=\) 384.229
Dual form 384.2.v.a.109.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.699590 + 1.22905i) q^{2} +(0.881921 - 0.471397i) q^{3} +(-1.02115 - 1.71967i) q^{4} +(-0.339008 - 0.413082i) q^{5} +(-0.0376117 + 1.41371i) q^{6} +(-4.31689 + 2.88445i) q^{7} +(2.82795 - 0.0519807i) q^{8} +(0.555570 - 0.831470i) q^{9} +O(q^{10})\) \(q+(-0.699590 + 1.22905i) q^{2} +(0.881921 - 0.471397i) q^{3} +(-1.02115 - 1.71967i) q^{4} +(-0.339008 - 0.413082i) q^{5} +(-0.0376117 + 1.41371i) q^{6} +(-4.31689 + 2.88445i) q^{7} +(2.82795 - 0.0519807i) q^{8} +(0.555570 - 0.831470i) q^{9} +(0.744867 - 0.127671i) q^{10} +(-3.29644 + 0.999964i) q^{11} +(-1.71122 - 1.03525i) q^{12} +(2.77532 + 2.27765i) q^{13} +(-0.525094 - 7.32363i) q^{14} +(-0.493704 - 0.204499i) q^{15} +(-1.91452 + 3.51207i) q^{16} +(-4.63305 + 1.91907i) q^{17} +(0.633249 + 1.26451i) q^{18} +(0.220186 + 2.23558i) q^{19} +(-0.364188 + 1.00480i) q^{20} +(-2.44744 + 4.57883i) q^{21} +(1.07715 - 4.75107i) q^{22} +(-5.50727 + 1.09546i) q^{23} +(2.46953 - 1.37893i) q^{24} +(0.919741 - 4.62385i) q^{25} +(-4.74094 + 1.81760i) q^{26} +(0.0980171 - 0.995185i) q^{27} +(9.36848 + 4.47817i) q^{28} +(-1.91561 + 6.31491i) q^{29} +(0.596731 - 0.463723i) q^{30} +(6.96985 + 6.96985i) q^{31} +(-2.97714 - 4.81006i) q^{32} +(-2.43582 + 2.43582i) q^{33} +(0.882594 - 7.03683i) q^{34} +(2.65498 + 0.805379i) q^{35} +(-1.99717 - 0.106344i) q^{36} +(-2.66498 - 0.262477i) q^{37} +(-2.90169 - 1.29337i) q^{38} +(3.52129 + 0.700428i) q^{39} +(-0.980170 - 1.15055i) q^{40} +(-0.485925 - 2.44291i) q^{41} +(-3.91543 - 6.21133i) q^{42} +(-5.65361 - 3.02192i) q^{43} +(5.08576 + 4.64767i) q^{44} +(-0.531808 + 0.0523785i) q^{45} +(2.50645 - 7.53511i) q^{46} +(-2.20092 - 5.31349i) q^{47} +(-0.0328781 + 3.99986i) q^{48} +(7.63668 - 18.4366i) q^{49} +(5.03952 + 4.36521i) q^{50} +(-3.18134 + 3.87647i) q^{51} +(1.08279 - 7.09844i) q^{52} +(-2.24662 - 7.40613i) q^{53} +(1.15456 + 0.816690i) q^{54} +(1.53059 + 1.02271i) q^{55} +(-12.0580 + 8.38148i) q^{56} +(1.24803 + 1.86781i) q^{57} +(-6.42123 - 6.77224i) q^{58} +(7.81729 - 6.41548i) q^{59} +(0.152474 + 1.05783i) q^{60} +(5.37122 + 10.0489i) q^{61} +(-13.4424 + 3.69028i) q^{62} +5.19188i q^{63} +(7.99460 - 0.293997i) q^{64} -1.91858i q^{65} +(-1.28968 - 4.69783i) q^{66} +(2.12238 + 3.97069i) q^{67} +(8.03119 + 6.00765i) q^{68} +(-4.34058 + 3.56222i) q^{69} +(-2.84725 + 2.69968i) q^{70} +(1.78359 + 2.66934i) q^{71} +(1.52790 - 2.38023i) q^{72} +(0.963861 + 0.644031i) q^{73} +(2.18699 - 3.09178i) q^{74} +(-1.36853 - 4.51143i) q^{75} +(3.61962 - 2.66150i) q^{76} +(11.3460 - 13.8252i) q^{77} +(-3.32432 + 3.83784i) q^{78} +(-3.81143 + 9.20161i) q^{79} +(2.09981 - 0.399765i) q^{80} +(-0.382683 - 0.923880i) q^{81} +(3.34242 + 1.11181i) q^{82} +(-10.4553 + 1.02975i) q^{83} +(10.3733 - 0.466879i) q^{84} +(2.36338 + 1.26325i) q^{85} +(7.66931 - 4.83449i) q^{86} +(1.28741 + 6.47227i) q^{87} +(-9.27019 + 2.99920i) q^{88} +(14.4051 + 2.86536i) q^{89} +(0.307672 - 0.690265i) q^{90} +(-18.5505 - 1.82707i) q^{91} +(7.50756 + 8.35205i) q^{92} +(9.43243 + 2.86129i) q^{93} +(8.07031 + 1.01222i) q^{94} +(0.848835 - 0.848835i) q^{95} +(-4.89305 - 2.83868i) q^{96} +(9.74616 + 9.74616i) q^{97} +(17.3170 + 22.2840i) q^{98} +(-0.999964 + 3.29644i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512 q + O(q^{10}) \) \( 512 q - 96 q^{50} - 96 q^{52} - 32 q^{54} - 224 q^{56} - 192 q^{60} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 192 q^{70} - 224 q^{74} - 32 q^{76} - 96 q^{78} - 96 q^{80} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{9}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.699590 + 1.22905i −0.494685 + 0.869072i
\(3\) 0.881921 0.471397i 0.509177 0.272161i
\(4\) −1.02115 1.71967i −0.510573 0.859834i
\(5\) −0.339008 0.413082i −0.151609 0.184736i 0.691668 0.722216i \(-0.256876\pi\)
−0.843277 + 0.537480i \(0.819376\pi\)
\(6\) −0.0376117 + 1.41371i −0.0153549 + 0.577146i
\(7\) −4.31689 + 2.88445i −1.63163 + 1.09022i −0.708518 + 0.705693i \(0.750636\pi\)
−0.923113 + 0.384528i \(0.874364\pi\)
\(8\) 2.82795 0.0519807i 0.999831 0.0183779i
\(9\) 0.555570 0.831470i 0.185190 0.277157i
\(10\) 0.744867 0.127671i 0.235548 0.0403730i
\(11\) −3.29644 + 0.999964i −0.993914 + 0.301501i −0.745029 0.667032i \(-0.767564\pi\)
−0.248885 + 0.968533i \(0.580064\pi\)
\(12\) −1.71122 1.03525i −0.493986 0.298850i
\(13\) 2.77532 + 2.27765i 0.769735 + 0.631705i 0.935042 0.354537i \(-0.115361\pi\)
−0.165307 + 0.986242i \(0.552861\pi\)
\(14\) −0.525094 7.32363i −0.140337 1.95732i
\(15\) −0.493704 0.204499i −0.127474 0.0528014i
\(16\) −1.91452 + 3.51207i −0.478630 + 0.878017i
\(17\) −4.63305 + 1.91907i −1.12368 + 0.465443i −0.865628 0.500688i \(-0.833080\pi\)
−0.258051 + 0.966131i \(0.583080\pi\)
\(18\) 0.633249 + 1.26451i 0.149258 + 0.298049i
\(19\) 0.220186 + 2.23558i 0.0505140 + 0.512878i 0.986835 + 0.161732i \(0.0517079\pi\)
−0.936321 + 0.351146i \(0.885792\pi\)
\(20\) −0.364188 + 1.00480i −0.0814349 + 0.224680i
\(21\) −2.44744 + 4.57883i −0.534074 + 0.999182i
\(22\) 1.07715 4.75107i 0.229649 1.01293i
\(23\) −5.50727 + 1.09546i −1.14835 + 0.228420i −0.732338 0.680941i \(-0.761571\pi\)
−0.416007 + 0.909361i \(0.636571\pi\)
\(24\) 2.46953 1.37893i 0.504090 0.281473i
\(25\) 0.919741 4.62385i 0.183948 0.924770i
\(26\) −4.74094 + 1.81760i −0.929774 + 0.356460i
\(27\) 0.0980171 0.995185i 0.0188634 0.191523i
\(28\) 9.36848 + 4.47817i 1.77048 + 0.846295i
\(29\) −1.91561 + 6.31491i −0.355719 + 1.17265i 0.578419 + 0.815740i \(0.303670\pi\)
−0.934139 + 0.356910i \(0.883830\pi\)
\(30\) 0.596731 0.463723i 0.108948 0.0846639i
\(31\) 6.96985 + 6.96985i 1.25182 + 1.25182i 0.954902 + 0.296920i \(0.0959594\pi\)
0.296920 + 0.954902i \(0.404041\pi\)
\(32\) −2.97714 4.81006i −0.526289 0.850306i
\(33\) −2.43582 + 2.43582i −0.424022 + 0.424022i
\(34\) 0.882594 7.03683i 0.151364 1.20681i
\(35\) 2.65498 + 0.805379i 0.448773 + 0.136134i
\(36\) −1.99717 0.106344i −0.332862 0.0177240i
\(37\) −2.66498 0.262477i −0.438120 0.0431510i −0.123447 0.992351i \(-0.539395\pi\)
−0.314673 + 0.949200i \(0.601895\pi\)
\(38\) −2.90169 1.29337i −0.470716 0.209813i
\(39\) 3.52129 + 0.700428i 0.563857 + 0.112158i
\(40\) −0.980170 1.15055i −0.154978 0.181919i
\(41\) −0.485925 2.44291i −0.0758888 0.381519i 0.924111 0.382124i \(-0.124807\pi\)
−1.00000 0.000605315i \(0.999807\pi\)
\(42\) −3.91543 6.21133i −0.604163 0.958430i
\(43\) −5.65361 3.02192i −0.862168 0.460838i −0.0198394 0.999803i \(-0.506315\pi\)
−0.842328 + 0.538965i \(0.818815\pi\)
\(44\) 5.08576 + 4.64767i 0.766706 + 0.700663i
\(45\) −0.531808 + 0.0523785i −0.0792773 + 0.00780813i
\(46\) 2.50645 7.53511i 0.369556 1.11099i
\(47\) −2.20092 5.31349i −0.321037 0.775053i −0.999194 0.0401355i \(-0.987221\pi\)
0.678157 0.734917i \(-0.262779\pi\)
\(48\) −0.0328781 + 3.99986i −0.00474555 + 0.577331i
\(49\) 7.63668 18.4366i 1.09095 2.63380i
\(50\) 5.03952 + 4.36521i 0.712696 + 0.617334i
\(51\) −3.18134 + 3.87647i −0.445477 + 0.542815i
\(52\) 1.08279 7.09844i 0.150156 0.984376i
\(53\) −2.24662 7.40613i −0.308598 1.01731i −0.964857 0.262775i \(-0.915362\pi\)
0.656260 0.754535i \(-0.272138\pi\)
\(54\) 1.15456 + 0.816690i 0.157116 + 0.111137i
\(55\) 1.53059 + 1.02271i 0.206384 + 0.137902i
\(56\) −12.0580 + 8.38148i −1.61132 + 1.12002i
\(57\) 1.24803 + 1.86781i 0.165306 + 0.247398i
\(58\) −6.42123 6.77224i −0.843148 0.889238i
\(59\) 7.81729 6.41548i 1.01772 0.835224i 0.0313110 0.999510i \(-0.490032\pi\)
0.986413 + 0.164285i \(0.0525318\pi\)
\(60\) 0.152474 + 1.05783i 0.0196843 + 0.136565i
\(61\) 5.37122 + 10.0489i 0.687715 + 1.28662i 0.947128 + 0.320857i \(0.103971\pi\)
−0.259413 + 0.965766i \(0.583529\pi\)
\(62\) −13.4424 + 3.69028i −1.70718 + 0.468666i
\(63\) 5.19188i 0.654115i
\(64\) 7.99460 0.293997i 0.999325 0.0367497i
\(65\) 1.91858i 0.237970i
\(66\) −1.28968 4.69783i −0.158748 0.578263i
\(67\) 2.12238 + 3.97069i 0.259290 + 0.485097i 0.977557 0.210670i \(-0.0675645\pi\)
−0.718267 + 0.695767i \(0.755064\pi\)
\(68\) 8.03119 + 6.00765i 0.973925 + 0.728535i
\(69\) −4.34058 + 3.56222i −0.522544 + 0.428841i
\(70\) −2.84725 + 2.69968i −0.340312 + 0.322673i
\(71\) 1.78359 + 2.66934i 0.211674 + 0.316792i 0.922080 0.387000i \(-0.126489\pi\)
−0.710406 + 0.703792i \(0.751489\pi\)
\(72\) 1.52790 2.38023i 0.180065 0.280513i
\(73\) 0.963861 + 0.644031i 0.112811 + 0.0753782i 0.610696 0.791865i \(-0.290890\pi\)
−0.497885 + 0.867243i \(0.665890\pi\)
\(74\) 2.18699 3.09178i 0.254233 0.359412i
\(75\) −1.36853 4.51143i −0.158024 0.520936i
\(76\) 3.61962 2.66150i 0.415199 0.305295i
\(77\) 11.3460 13.8252i 1.29300 1.57552i
\(78\) −3.32432 + 3.83784i −0.376405 + 0.434550i
\(79\) −3.81143 + 9.20161i −0.428819 + 1.03526i 0.550843 + 0.834609i \(0.314306\pi\)
−0.979662 + 0.200653i \(0.935694\pi\)
\(80\) 2.09981 0.399765i 0.234766 0.0446951i
\(81\) −0.382683 0.923880i −0.0425204 0.102653i
\(82\) 3.34242 + 1.11181i 0.369108 + 0.122779i
\(83\) −10.4553 + 1.02975i −1.14761 + 0.113030i −0.653890 0.756589i \(-0.726864\pi\)
−0.493723 + 0.869619i \(0.664364\pi\)
\(84\) 10.3733 0.466879i 1.13182 0.0509407i
\(85\) 2.36338 + 1.26325i 0.256344 + 0.137019i
\(86\) 7.66931 4.83449i 0.827003 0.521316i
\(87\) 1.28741 + 6.47227i 0.138025 + 0.693900i
\(88\) −9.27019 + 2.99920i −0.988205 + 0.319716i
\(89\) 14.4051 + 2.86536i 1.52694 + 0.303728i 0.885936 0.463808i \(-0.153517\pi\)
0.641007 + 0.767535i \(0.278517\pi\)
\(90\) 0.307672 0.690265i 0.0324315 0.0727603i
\(91\) −18.5505 1.82707i −1.94462 0.191529i
\(92\) 7.50756 + 8.35205i 0.782718 + 0.870761i
\(93\) 9.43243 + 2.86129i 0.978097 + 0.296702i
\(94\) 8.07031 + 1.01222i 0.832389 + 0.104402i
\(95\) 0.848835 0.848835i 0.0870886 0.0870886i
\(96\) −4.89305 2.83868i −0.499395 0.289721i
\(97\) 9.74616 + 9.74616i 0.989572 + 0.989572i 0.999946 0.0103737i \(-0.00330212\pi\)
−0.0103737 + 0.999946i \(0.503302\pi\)
\(98\) 17.3170 + 22.2840i 1.74928 + 2.25102i
\(99\) −0.999964 + 3.29644i −0.100500 + 0.331305i
\(100\) −8.89068 + 3.13998i −0.889068 + 0.313998i
\(101\) −0.120717 + 1.22566i −0.0120118 + 0.121958i −0.999321 0.0368539i \(-0.988266\pi\)
0.987309 + 0.158812i \(0.0507664\pi\)
\(102\) −2.53876 6.62198i −0.251375 0.655674i
\(103\) −0.0864331 + 0.434529i −0.00851651 + 0.0428154i −0.984810 0.173636i \(-0.944448\pi\)
0.976293 + 0.216452i \(0.0694483\pi\)
\(104\) 7.96686 + 6.29680i 0.781214 + 0.617452i
\(105\) 2.72113 0.541267i 0.265556 0.0528223i
\(106\) 10.6742 + 2.42003i 1.03677 + 0.235054i
\(107\) −5.70433 + 10.6721i −0.551459 + 1.03171i 0.439589 + 0.898199i \(0.355124\pi\)
−0.991048 + 0.133508i \(0.957376\pi\)
\(108\) −1.81148 + 0.847673i −0.174310 + 0.0815673i
\(109\) −1.01846 10.3406i −0.0975512 0.990454i −0.911992 0.410208i \(-0.865456\pi\)
0.814441 0.580246i \(-0.197044\pi\)
\(110\) −2.32774 + 1.16570i −0.221942 + 0.111145i
\(111\) −2.47403 + 1.02478i −0.234825 + 0.0972676i
\(112\) −1.86563 20.6836i −0.176285 1.95441i
\(113\) 0.255573 + 0.105862i 0.0240422 + 0.00995862i 0.394672 0.918822i \(-0.370858\pi\)
−0.370630 + 0.928781i \(0.620858\pi\)
\(114\) −3.16875 + 0.227195i −0.296781 + 0.0212788i
\(115\) 2.31953 + 1.90359i 0.216297 + 0.177510i
\(116\) 12.8157 3.15424i 1.18991 0.292864i
\(117\) 3.43568 1.04220i 0.317629 0.0963516i
\(118\) 2.41607 + 14.0961i 0.222418 + 1.29765i
\(119\) 14.4649 21.6482i 1.32599 1.98449i
\(120\) −1.40680 0.552650i −0.128423 0.0504498i
\(121\) 0.720423 0.481371i 0.0654930 0.0437610i
\(122\) −16.1082 0.428558i −1.45837 0.0387998i
\(123\) −1.58013 1.92539i −0.142475 0.173607i
\(124\) 4.86859 19.1031i 0.437213 1.71551i
\(125\) −4.57824 + 2.44712i −0.409491 + 0.218877i
\(126\) −6.38110 3.63219i −0.568474 0.323581i
\(127\) 5.14857 0.456862 0.228431 0.973560i \(-0.426640\pi\)
0.228431 + 0.973560i \(0.426640\pi\)
\(128\) −5.23160 + 10.0315i −0.462413 + 0.886665i
\(129\) −6.41056 −0.564419
\(130\) 2.35803 + 1.34222i 0.206813 + 0.117720i
\(131\) 0.127636 0.0682228i 0.0111516 0.00596065i −0.465812 0.884884i \(-0.654238\pi\)
0.476963 + 0.878923i \(0.341738\pi\)
\(132\) 6.67613 + 1.70147i 0.581083 + 0.148094i
\(133\) −7.39895 9.01565i −0.641570 0.781756i
\(134\) −6.36499 0.169340i −0.549852 0.0146287i
\(135\) −0.444322 + 0.296886i −0.0382411 + 0.0255519i
\(136\) −13.0023 + 5.66787i −1.11494 + 0.486015i
\(137\) 0.435981 0.652491i 0.0372484 0.0557461i −0.812378 0.583131i \(-0.801827\pi\)
0.849626 + 0.527385i \(0.176827\pi\)
\(138\) −1.34153 7.82690i −0.114199 0.666270i
\(139\) −5.26946 + 1.59847i −0.446950 + 0.135581i −0.505733 0.862690i \(-0.668778\pi\)
0.0587833 + 0.998271i \(0.481278\pi\)
\(140\) −1.32614 5.38809i −0.112079 0.455377i
\(141\) −4.44580 3.64858i −0.374404 0.307266i
\(142\) −4.52855 + 0.324691i −0.380027 + 0.0272474i
\(143\) −11.4262 4.73290i −0.955510 0.395785i
\(144\) 1.85653 + 3.54306i 0.154711 + 0.295255i
\(145\) 3.25799 1.34950i 0.270561 0.112070i
\(146\) −1.46586 + 0.734079i −0.121315 + 0.0607528i
\(147\) −1.95599 19.8595i −0.161328 1.63799i
\(148\) 2.26996 + 4.85091i 0.186590 + 0.398742i
\(149\) −8.34001 + 15.6031i −0.683240 + 1.27825i 0.266083 + 0.963950i \(0.414271\pi\)
−0.949323 + 0.314302i \(0.898229\pi\)
\(150\) 6.50221 + 1.47416i 0.530903 + 0.120365i
\(151\) 6.15257 1.22382i 0.500689 0.0995932i 0.0617163 0.998094i \(-0.480343\pi\)
0.438972 + 0.898501i \(0.355343\pi\)
\(152\) 0.738881 + 6.31067i 0.0599311 + 0.511863i
\(153\) −0.978334 + 4.91842i −0.0790936 + 0.397630i
\(154\) 9.05431 + 23.6168i 0.729617 + 1.90310i
\(155\) 0.516288 5.24196i 0.0414692 0.421044i
\(156\) −2.39125 6.77069i −0.191453 0.542089i
\(157\) 0.916763 3.02216i 0.0731657 0.241195i −0.912728 0.408568i \(-0.866028\pi\)
0.985894 + 0.167373i \(0.0535284\pi\)
\(158\) −8.64283 11.1218i −0.687587 0.884804i
\(159\) −5.47257 5.47257i −0.434003 0.434003i
\(160\) −0.977675 + 2.86045i −0.0772920 + 0.226139i
\(161\) 20.6145 20.6145i 1.62465 1.62465i
\(162\) 1.40322 + 0.175999i 0.110247 + 0.0138278i
\(163\) 5.01597 + 1.52158i 0.392881 + 0.119179i 0.480543 0.876971i \(-0.340440\pi\)
−0.0876619 + 0.996150i \(0.527940\pi\)
\(164\) −3.70480 + 3.33020i −0.289296 + 0.260045i
\(165\) 1.83196 + 0.180432i 0.142618 + 0.0140466i
\(166\) 6.04877 13.5705i 0.469476 1.05327i
\(167\) 8.40668 + 1.67219i 0.650529 + 0.129398i 0.509314 0.860581i \(-0.329899\pi\)
0.141215 + 0.989979i \(0.454899\pi\)
\(168\) −6.68321 + 13.0759i −0.515621 + 1.00883i
\(169\) −0.0214470 0.107821i −0.00164977 0.00829396i
\(170\) −3.20600 + 2.02096i −0.245889 + 0.155000i
\(171\) 1.98115 + 1.05895i 0.151502 + 0.0809796i
\(172\) 0.576469 + 12.8082i 0.0439553 + 0.976613i
\(173\) −11.8558 + 1.16769i −0.901380 + 0.0887781i −0.538080 0.842894i \(-0.680850\pi\)
−0.363300 + 0.931672i \(0.618350\pi\)
\(174\) −8.85543 2.94563i −0.671328 0.223308i
\(175\) 9.36686 + 22.6136i 0.708068 + 1.70943i
\(176\) 2.79916 13.4918i 0.210994 1.01698i
\(177\) 3.86999 9.34299i 0.290887 0.702262i
\(178\) −13.5994 + 15.7001i −1.01932 + 1.17677i
\(179\) −9.42567 + 11.4852i −0.704508 + 0.858445i −0.995148 0.0983872i \(-0.968632\pi\)
0.290641 + 0.956832i \(0.406132\pi\)
\(180\) 0.633128 + 0.861048i 0.0471906 + 0.0641787i
\(181\) −3.64165 12.0049i −0.270681 0.892317i −0.981909 0.189355i \(-0.939360\pi\)
0.711227 0.702962i \(-0.248140\pi\)
\(182\) 15.2233 21.5214i 1.12843 1.59527i
\(183\) 9.47399 + 6.33032i 0.700338 + 0.467951i
\(184\) −15.5173 + 3.38419i −1.14395 + 0.249486i
\(185\) 0.795024 + 1.18984i 0.0584513 + 0.0874786i
\(186\) −10.1155 + 9.59122i −0.741706 + 0.703263i
\(187\) 13.3536 10.9590i 0.976509 0.801400i
\(188\) −6.88998 + 9.21071i −0.502504 + 0.671760i
\(189\) 2.44744 + 4.57883i 0.178025 + 0.333061i
\(190\) 0.449427 + 1.63710i 0.0326049 + 0.118768i
\(191\) 9.27629i 0.671209i 0.942003 + 0.335604i \(0.108941\pi\)
−0.942003 + 0.335604i \(0.891059\pi\)
\(192\) 6.91201 4.02791i 0.498832 0.290689i
\(193\) 4.64540i 0.334383i −0.985924 0.167192i \(-0.946530\pi\)
0.985924 0.167192i \(-0.0534698\pi\)
\(194\) −18.7969 + 5.16023i −1.34954 + 0.370483i
\(195\) −0.904410 1.69203i −0.0647662 0.121169i
\(196\) −39.5030 + 5.69389i −2.82164 + 0.406707i
\(197\) −8.13297 + 6.67455i −0.579450 + 0.475542i −0.877874 0.478891i \(-0.841039\pi\)
0.298424 + 0.954433i \(0.403539\pi\)
\(198\) −3.35194 3.53517i −0.238212 0.251233i
\(199\) −12.7702 19.1120i −0.905257 1.35481i −0.934772 0.355249i \(-0.884396\pi\)
0.0295149 0.999564i \(-0.490604\pi\)
\(200\) 2.36063 13.1238i 0.166922 0.927994i
\(201\) 3.74354 + 2.50136i 0.264049 + 0.176432i
\(202\) −1.42195 1.00583i −0.100048 0.0707700i
\(203\) −9.94561 32.7863i −0.698045 2.30114i
\(204\) 9.91486 + 1.51240i 0.694179 + 0.105889i
\(205\) −0.844392 + 1.02889i −0.0589749 + 0.0718611i
\(206\) −0.473591 0.410223i −0.0329967 0.0285816i
\(207\) −2.14883 + 5.18773i −0.149354 + 0.360572i
\(208\) −13.3126 + 5.38651i −0.923066 + 0.373487i
\(209\) −2.96133 7.14928i −0.204840 0.494526i
\(210\) −1.23843 + 3.72309i −0.0854600 + 0.256917i
\(211\) −5.20379 + 0.512529i −0.358244 + 0.0352839i −0.275538 0.961290i \(-0.588856\pi\)
−0.0827055 + 0.996574i \(0.526356\pi\)
\(212\) −10.4419 + 11.4262i −0.717156 + 0.784754i
\(213\) 2.83131 + 1.51337i 0.193998 + 0.103694i
\(214\) −9.12584 14.4770i −0.623829 0.989628i
\(215\) 0.668318 + 3.35986i 0.0455789 + 0.229141i
\(216\) 0.225457 2.81943i 0.0153404 0.191838i
\(217\) −50.1923 9.98387i −3.40728 0.677749i
\(218\) 13.4217 + 5.98247i 0.909033 + 0.405184i
\(219\) 1.15364 + 0.113624i 0.0779560 + 0.00767800i
\(220\) 0.195761 3.67644i 0.0131982 0.247865i
\(221\) −17.2292 5.22641i −1.15896 0.351566i
\(222\) 0.471302 3.75764i 0.0316317 0.252196i
\(223\) −10.2301 + 10.2301i −0.685060 + 0.685060i −0.961136 0.276076i \(-0.910966\pi\)
0.276076 + 0.961136i \(0.410966\pi\)
\(224\) 26.7264 + 12.1771i 1.78573 + 0.813614i
\(225\) −3.33361 3.33361i −0.222241 0.222241i
\(226\) −0.308906 + 0.240053i −0.0205481 + 0.0159681i
\(227\) 4.48007 14.7688i 0.297353 0.980240i −0.673222 0.739440i \(-0.735090\pi\)
0.970575 0.240800i \(-0.0774098\pi\)
\(228\) 1.93759 4.05351i 0.128320 0.268450i
\(229\) −2.56408 + 26.0335i −0.169439 + 1.72034i 0.415778 + 0.909466i \(0.363509\pi\)
−0.585217 + 0.810877i \(0.698991\pi\)
\(230\) −3.96233 + 1.51909i −0.261268 + 0.100166i
\(231\) 3.48916 17.5412i 0.229570 1.15413i
\(232\) −5.08899 + 17.9578i −0.334108 + 1.17899i
\(233\) 9.11155 1.81240i 0.596918 0.118734i 0.112621 0.993638i \(-0.464075\pi\)
0.484297 + 0.874904i \(0.339075\pi\)
\(234\) −1.12265 + 4.95175i −0.0733896 + 0.323706i
\(235\) −1.44878 + 2.71048i −0.0945081 + 0.176812i
\(236\) −19.0151 6.89199i −1.23778 0.448631i
\(237\) 0.976226 + 9.91179i 0.0634127 + 0.643840i
\(238\) 16.4873 + 32.9230i 1.06872 + 2.13408i
\(239\) 15.3473 6.35707i 0.992735 0.411204i 0.173607 0.984815i \(-0.444458\pi\)
0.819128 + 0.573611i \(0.194458\pi\)
\(240\) 1.66342 1.34240i 0.107373 0.0866519i
\(241\) 2.51660 + 1.04241i 0.162108 + 0.0671474i 0.462262 0.886743i \(-0.347038\pi\)
−0.300154 + 0.953891i \(0.597038\pi\)
\(242\) 0.0876301 + 1.22220i 0.00563308 + 0.0785660i
\(243\) −0.773010 0.634393i −0.0495886 0.0406963i
\(244\) 11.7959 19.4981i 0.755154 1.24824i
\(245\) −10.2047 + 3.09557i −0.651956 + 0.197769i
\(246\) 3.47185 0.595077i 0.221357 0.0379407i
\(247\) −4.48078 + 6.70596i −0.285105 + 0.426690i
\(248\) 20.0727 + 19.3481i 1.27462 + 1.22860i
\(249\) −8.73529 + 5.83673i −0.553576 + 0.369888i
\(250\) 0.195250 7.33889i 0.0123487 0.464152i
\(251\) 14.6799 + 17.8875i 0.926588 + 1.12905i 0.991363 + 0.131150i \(0.0418670\pi\)
−0.0647750 + 0.997900i \(0.520633\pi\)
\(252\) 8.92831 5.30167i 0.562431 0.333974i
\(253\) 17.0590 9.11820i 1.07249 0.573257i
\(254\) −3.60189 + 6.32788i −0.226003 + 0.397046i
\(255\) 2.67980 0.167816
\(256\) −8.66923 13.4478i −0.541827 0.840490i
\(257\) −1.33845 −0.0834901 −0.0417451 0.999128i \(-0.513292\pi\)
−0.0417451 + 0.999128i \(0.513292\pi\)
\(258\) 4.48477 7.87893i 0.279209 0.490520i
\(259\) 12.2615 6.55392i 0.761894 0.407241i
\(260\) −3.29931 + 1.95915i −0.204615 + 0.121501i
\(261\) 4.18640 + 5.10115i 0.259132 + 0.315753i
\(262\) −0.00544334 + 0.204599i −0.000336290 + 0.0126402i
\(263\) 22.4082 14.9727i 1.38175 0.923253i 0.381747 0.924267i \(-0.375323\pi\)
0.999999 + 0.00101382i \(0.000322709\pi\)
\(264\) −6.76176 + 7.01499i −0.416158 + 0.431743i
\(265\) −2.29772 + 3.43878i −0.141148 + 0.211242i
\(266\) 16.2570 2.78645i 0.996778 0.170848i
\(267\) 14.0549 4.26352i 0.860148 0.260923i
\(268\) 4.66102 7.70445i 0.284717 0.470624i
\(269\) 10.0918 + 8.28215i 0.615309 + 0.504971i 0.889639 0.456664i \(-0.150956\pi\)
−0.274330 + 0.961636i \(0.588456\pi\)
\(270\) −0.0540461 0.753795i −0.00328914 0.0458745i
\(271\) −7.75338 3.21156i −0.470984 0.195088i 0.134551 0.990907i \(-0.457041\pi\)
−0.605535 + 0.795819i \(0.707041\pi\)
\(272\) 2.13015 19.9457i 0.129159 1.20938i
\(273\) −17.2214 + 7.13332i −1.04228 + 0.431728i
\(274\) 0.496939 + 0.992321i 0.0300212 + 0.0599483i
\(275\) 1.59181 + 16.1620i 0.0959900 + 0.974602i
\(276\) 10.5582 + 3.82681i 0.635529 + 0.230347i
\(277\) −9.58154 + 17.9258i −0.575699 + 1.07706i 0.410557 + 0.911835i \(0.365334\pi\)
−0.986256 + 0.165222i \(0.947166\pi\)
\(278\) 1.72185 7.59473i 0.103270 0.455501i
\(279\) 9.66746 1.92298i 0.578776 0.115126i
\(280\) 7.55001 + 2.13956i 0.451199 + 0.127863i
\(281\) −0.466355 + 2.34453i −0.0278204 + 0.139863i −0.992199 0.124662i \(-0.960215\pi\)
0.964379 + 0.264525i \(0.0852152\pi\)
\(282\) 7.59454 2.91162i 0.452248 0.173385i
\(283\) −1.43408 + 14.5604i −0.0852471 + 0.865528i 0.853539 + 0.521029i \(0.174451\pi\)
−0.938786 + 0.344500i \(0.888049\pi\)
\(284\) 2.76907 5.79298i 0.164314 0.343750i
\(285\) 0.348468 1.14874i 0.0206414 0.0680457i
\(286\) 13.8107 10.7324i 0.816642 0.634618i
\(287\) 9.14416 + 9.14416i 0.539762 + 0.539762i
\(288\) −5.65343 0.196922i −0.333131 0.0116037i
\(289\) 5.76148 5.76148i 0.338911 0.338911i
\(290\) −0.620645 + 4.94834i −0.0364455 + 0.290576i
\(291\) 13.1897 + 4.00104i 0.773191 + 0.234545i
\(292\) 0.123277 2.31517i 0.00721424 0.135485i
\(293\) −16.4903 1.62415i −0.963373 0.0948840i −0.395916 0.918287i \(-0.629573\pi\)
−0.567457 + 0.823403i \(0.692073\pi\)
\(294\) 25.7768 + 11.4895i 1.50333 + 0.670082i
\(295\) −5.30025 1.05428i −0.308592 0.0613828i
\(296\) −7.55007 0.603746i −0.438839 0.0350920i
\(297\) 0.672041 + 3.37858i 0.0389958 + 0.196045i
\(298\) −13.3424 21.1661i −0.772905 1.22612i
\(299\) −17.7795 9.50335i −1.02822 0.549593i
\(300\) −6.36070 + 6.96025i −0.367235 + 0.401850i
\(301\) 33.1226 3.26229i 1.90916 0.188035i
\(302\) −2.80013 + 8.41801i −0.161130 + 0.484402i
\(303\) 0.471311 + 1.13784i 0.0270761 + 0.0653674i
\(304\) −8.27306 3.50676i −0.474493 0.201126i
\(305\) 2.33012 5.62540i 0.133422 0.322109i
\(306\) −5.36057 4.64330i −0.306443 0.265440i
\(307\) 0.0516129 0.0628905i 0.00294570 0.00358935i −0.771536 0.636186i \(-0.780511\pi\)
0.774481 + 0.632597i \(0.218011\pi\)
\(308\) −35.3606 5.39387i −2.01486 0.307344i
\(309\) 0.128608 + 0.423964i 0.00731626 + 0.0241185i
\(310\) 6.08146 + 4.30177i 0.345404 + 0.244324i
\(311\) −6.83253 4.56535i −0.387437 0.258877i 0.346563 0.938027i \(-0.387349\pi\)
−0.734000 + 0.679149i \(0.762349\pi\)
\(312\) 9.99443 + 1.79774i 0.565823 + 0.101777i
\(313\) 12.2876 + 18.3897i 0.694535 + 1.03945i 0.996290 + 0.0860601i \(0.0274277\pi\)
−0.301755 + 0.953386i \(0.597572\pi\)
\(314\) 3.07304 + 3.24103i 0.173422 + 0.182902i
\(315\) 2.14467 1.76009i 0.120839 0.0991698i
\(316\) 19.7157 2.84179i 1.10910 0.159863i
\(317\) 4.79556 + 8.97186i 0.269345 + 0.503910i 0.979838 0.199795i \(-0.0640277\pi\)
−0.710492 + 0.703705i \(0.751528\pi\)
\(318\) 10.5546 2.89753i 0.591875 0.162485i
\(319\) 22.7323i 1.27276i
\(320\) −2.83168 3.20276i −0.158296 0.179040i
\(321\) 12.1009i 0.675408i
\(322\) 10.9146 + 39.7580i 0.608247 + 2.21562i
\(323\) −5.31037 9.93501i −0.295477 0.552799i
\(324\) −1.19799 + 1.60151i −0.0665550 + 0.0889725i
\(325\) 13.0841 10.7378i 0.725773 0.595627i
\(326\) −5.37923 + 5.10042i −0.297928 + 0.282486i
\(327\) −5.77275 8.63953i −0.319234 0.477767i
\(328\) −1.50116 6.88317i −0.0828875 0.380060i
\(329\) 24.8277 + 16.5893i 1.36879 + 0.914598i
\(330\) −1.50338 + 2.12535i −0.0827584 + 0.116996i
\(331\) 2.61642 + 8.62519i 0.143812 + 0.474083i 0.999023 0.0441962i \(-0.0140727\pi\)
−0.855211 + 0.518280i \(0.826573\pi\)
\(332\) 12.4472 + 16.9280i 0.683128 + 0.929047i
\(333\) −1.69882 + 2.07002i −0.0930950 + 0.113437i
\(334\) −7.93645 + 9.16242i −0.434263 + 0.501345i
\(335\) 0.920720 2.22282i 0.0503043 0.121445i
\(336\) −11.3955 17.3618i −0.621675 0.947165i
\(337\) −6.99118 16.8782i −0.380834 0.919415i −0.991805 0.127762i \(-0.959221\pi\)
0.610971 0.791653i \(-0.290779\pi\)
\(338\) 0.147523 + 0.0490713i 0.00802417 + 0.00266913i
\(339\) 0.275298 0.0271145i 0.0149521 0.00147266i
\(340\) −0.240981 5.35419i −0.0130690 0.290371i
\(341\) −29.9453 16.0061i −1.62163 0.866779i
\(342\) −2.68749 + 1.69411i −0.145323 + 0.0916069i
\(343\) 13.1226 + 65.9716i 0.708552 + 3.56213i
\(344\) −16.1452 8.25195i −0.870491 0.444915i
\(345\) 2.94298 + 0.585396i 0.158445 + 0.0315166i
\(346\) 6.85904 15.3883i 0.368744 0.827281i
\(347\) −5.78519 0.569792i −0.310565 0.0305880i −0.0584661 0.998289i \(-0.518621\pi\)
−0.252099 + 0.967701i \(0.581121\pi\)
\(348\) 9.81551 8.82306i 0.526167 0.472966i
\(349\) −9.61343 2.91620i −0.514595 0.156101i 0.0222975 0.999751i \(-0.492902\pi\)
−0.536892 + 0.843651i \(0.680402\pi\)
\(350\) −34.3463 4.30788i −1.83589 0.230266i
\(351\) 2.53871 2.53871i 0.135506 0.135506i
\(352\) 14.6238 + 12.8790i 0.779454 + 0.686454i
\(353\) 7.33143 + 7.33143i 0.390213 + 0.390213i 0.874763 0.484551i \(-0.161017\pi\)
−0.484551 + 0.874763i \(0.661017\pi\)
\(354\) 8.77563 + 11.2927i 0.466419 + 0.600200i
\(355\) 0.498004 1.64170i 0.0264313 0.0871323i
\(356\) −9.78229 27.6980i −0.518461 1.46799i
\(357\) 2.55199 25.9107i 0.135065 1.37134i
\(358\) −7.52184 19.6196i −0.397541 1.03693i
\(359\) 5.59337 28.1198i 0.295207 1.48411i −0.493721 0.869620i \(-0.664364\pi\)
0.788928 0.614485i \(-0.210636\pi\)
\(360\) −1.50120 + 0.175768i −0.0791204 + 0.00926377i
\(361\) 13.6856 2.72223i 0.720293 0.143275i
\(362\) 17.3023 + 3.92273i 0.909390 + 0.206174i
\(363\) 0.408439 0.764136i 0.0214375 0.0401067i
\(364\) 15.8008 + 33.7664i 0.828189 + 1.76984i
\(365\) −0.0607186 0.616486i −0.00317815 0.0322683i
\(366\) −14.4082 + 7.21542i −0.753130 + 0.377156i
\(367\) −12.4662 + 5.16369i −0.650733 + 0.269542i −0.683533 0.729920i \(-0.739558\pi\)
0.0328002 + 0.999462i \(0.489558\pi\)
\(368\) 6.69643 21.4392i 0.349076 1.11759i
\(369\) −2.30117 0.953177i −0.119794 0.0496204i
\(370\) −2.01857 + 0.144728i −0.104940 + 0.00752407i
\(371\) 31.0611 + 25.4912i 1.61261 + 1.32343i
\(372\) −4.71141 19.1424i −0.244275 0.992490i
\(373\) −11.9542 + 3.62626i −0.618963 + 0.187760i −0.584166 0.811634i \(-0.698578\pi\)
−0.0347968 + 0.999394i \(0.511078\pi\)
\(374\) 4.12716 + 24.0790i 0.213410 + 1.24510i
\(375\) −2.88408 + 4.31634i −0.148933 + 0.222895i
\(376\) −6.50029 14.9119i −0.335227 0.769022i
\(377\) −19.6996 + 13.1628i −1.01458 + 0.677920i
\(378\) −7.33983 0.195275i −0.377520 0.0100439i
\(379\) −19.9061 24.2556i −1.02251 1.24593i −0.968923 0.247363i \(-0.920436\pi\)
−0.0535829 0.998563i \(-0.517064\pi\)
\(380\) −2.32650 0.592930i −0.119347 0.0304167i
\(381\) 4.54064 2.42702i 0.232624 0.124340i
\(382\) −11.4011 6.48960i −0.583329 0.332037i
\(383\) −15.6012 −0.797185 −0.398592 0.917128i \(-0.630501\pi\)
−0.398592 + 0.917128i \(0.630501\pi\)
\(384\) 0.114938 + 11.3131i 0.00586540 + 0.577320i
\(385\) −9.55733 −0.487086
\(386\) 5.70944 + 3.24988i 0.290603 + 0.165414i
\(387\) −5.65361 + 3.02192i −0.287389 + 0.153613i
\(388\) 6.80790 26.7124i 0.345619 1.35612i
\(389\) 10.8779 + 13.2548i 0.551532 + 0.672043i 0.971923 0.235300i \(-0.0756072\pi\)
−0.420391 + 0.907343i \(0.638107\pi\)
\(390\) 2.71232 + 0.0721608i 0.137343 + 0.00365401i
\(391\) 23.4132 15.6442i 1.18405 0.791160i
\(392\) 20.6378 52.5347i 1.04237 2.65340i
\(393\) 0.0804047 0.120334i 0.00405588 0.00607006i
\(394\) −2.51364 14.6653i −0.126635 0.738828i
\(395\) 5.09313 1.54498i 0.256263 0.0777366i
\(396\) 6.68989 1.64654i 0.336180 0.0827418i
\(397\) −11.5638 9.49015i −0.580370 0.476297i 0.297812 0.954625i \(-0.403743\pi\)
−0.878182 + 0.478327i \(0.841243\pi\)
\(398\) 32.4236 2.32473i 1.62525 0.116528i
\(399\) −10.7752 4.46325i −0.539437 0.223442i
\(400\) 14.4784 + 12.0826i 0.723920 + 0.604132i
\(401\) −23.8700 + 9.88726i −1.19201 + 0.493746i −0.888409 0.459053i \(-0.848189\pi\)
−0.303600 + 0.952799i \(0.598189\pi\)
\(402\) −5.69325 + 2.85109i −0.283953 + 0.142200i
\(403\) 3.46871 + 35.2184i 0.172789 + 1.75435i
\(404\) 2.23100 1.04399i 0.110997 0.0519404i
\(405\) −0.251906 + 0.471282i −0.0125173 + 0.0234182i
\(406\) 47.2539 + 10.7133i 2.34517 + 0.531691i
\(407\) 9.04741 1.79964i 0.448463 0.0892049i
\(408\) −8.79517 + 11.1278i −0.435426 + 0.550910i
\(409\) −1.39241 + 7.00012i −0.0688502 + 0.346134i −0.999820 0.0189622i \(-0.993964\pi\)
0.930970 + 0.365096i \(0.118964\pi\)
\(410\) −0.673838 1.75761i −0.0332785 0.0868020i
\(411\) 0.0769184 0.780966i 0.00379411 0.0385222i
\(412\) 0.835506 0.295081i 0.0411624 0.0145376i
\(413\) −15.2412 + 50.2435i −0.749971 + 2.47232i
\(414\) −4.87270 6.27032i −0.239480 0.308169i
\(415\) 3.96979 + 3.96979i 0.194869 + 0.194869i
\(416\) 2.69309 20.1303i 0.132039 0.986970i
\(417\) −3.89373 + 3.89373i −0.190677 + 0.190677i
\(418\) 10.8586 + 1.36194i 0.531110 + 0.0666145i
\(419\) 3.43685 + 1.04256i 0.167901 + 0.0509322i 0.373116 0.927785i \(-0.378289\pi\)
−0.205215 + 0.978717i \(0.565789\pi\)
\(420\) −3.70948 4.12674i −0.181004 0.201364i
\(421\) 23.1964 + 2.28464i 1.13052 + 0.111347i 0.645932 0.763395i \(-0.276469\pi\)
0.484589 + 0.874742i \(0.338969\pi\)
\(422\) 3.01060 6.75430i 0.146554 0.328794i
\(423\) −5.64077 1.12202i −0.274264 0.0545545i
\(424\) −6.73831 20.8274i −0.327241 1.01147i
\(425\) 4.61229 + 23.1876i 0.223729 + 1.12476i
\(426\) −3.84076 + 2.42109i −0.186086 + 0.117302i
\(427\) −52.1724 27.8867i −2.52480 1.34953i
\(428\) 24.1774 1.08817i 1.16866 0.0525988i
\(429\) −12.3081 + 1.21224i −0.594241 + 0.0585277i
\(430\) −4.59700 1.52913i −0.221687 0.0737411i
\(431\) 8.25506 + 19.9295i 0.397632 + 0.959969i 0.988226 + 0.153000i \(0.0488934\pi\)
−0.590594 + 0.806969i \(0.701107\pi\)
\(432\) 3.30750 + 2.24954i 0.159132 + 0.108231i
\(433\) −10.5317 + 25.4257i −0.506121 + 1.22188i 0.439979 + 0.898008i \(0.354986\pi\)
−0.946100 + 0.323875i \(0.895014\pi\)
\(434\) 47.3848 54.7044i 2.27454 2.62590i
\(435\) 2.23714 2.72596i 0.107262 0.130700i
\(436\) −16.7425 + 12.3107i −0.801819 + 0.589577i
\(437\) −3.66162 12.0707i −0.175159 0.577422i
\(438\) −0.946728 + 1.33840i −0.0452364 + 0.0639512i
\(439\) −16.8457 11.2559i −0.803999 0.537215i 0.0843215 0.996439i \(-0.473128\pi\)
−0.888321 + 0.459223i \(0.848128\pi\)
\(440\) 4.38158 + 2.81260i 0.208884 + 0.134085i
\(441\) −11.0867 16.5925i −0.527940 0.790119i
\(442\) 18.4769 17.5192i 0.878856 0.833304i
\(443\) −17.8026 + 14.6102i −0.845827 + 0.694152i −0.953944 0.299986i \(-0.903018\pi\)
0.108117 + 0.994138i \(0.465518\pi\)
\(444\) 4.28863 + 3.20807i 0.203529 + 0.152248i
\(445\) −3.69983 6.92189i −0.175389 0.328129i
\(446\) −5.41648 19.7303i −0.256478 0.934256i
\(447\) 17.6921i 0.836809i
\(448\) −33.6638 + 24.3292i −1.59046 + 1.14945i
\(449\) 11.0430i 0.521152i 0.965453 + 0.260576i \(0.0839125\pi\)
−0.965453 + 0.260576i \(0.916087\pi\)
\(450\) 6.42935 1.76502i 0.303082 0.0832041i
\(451\) 4.04465 + 7.56701i 0.190455 + 0.356316i
\(452\) −0.0789302 0.547600i −0.00371256 0.0257570i
\(453\) 4.84917 3.97961i 0.227834 0.186979i
\(454\) 15.0174 + 15.8384i 0.704804 + 0.743331i
\(455\) 5.53404 + 8.28228i 0.259440 + 0.388279i
\(456\) 3.62646 + 5.21721i 0.169825 + 0.244318i
\(457\) 11.7728 + 7.86634i 0.550709 + 0.367972i 0.799575 0.600566i \(-0.205058\pi\)
−0.248867 + 0.968538i \(0.580058\pi\)
\(458\) −30.2028 21.3642i −1.41128 0.998283i
\(459\) 1.45571 + 4.79884i 0.0679468 + 0.223991i
\(460\) 0.904960 5.93265i 0.0421940 0.276611i
\(461\) 4.70369 5.73147i 0.219073 0.266941i −0.651864 0.758336i \(-0.726013\pi\)
0.870937 + 0.491395i \(0.163513\pi\)
\(462\) 19.1181 + 16.5600i 0.889453 + 0.770441i
\(463\) 12.2279 29.5208i 0.568279 1.37195i −0.334726 0.942315i \(-0.608644\pi\)
0.903005 0.429631i \(-0.141356\pi\)
\(464\) −18.5109 18.8178i −0.859348 0.873593i
\(465\) −2.01572 4.86637i −0.0934766 0.225673i
\(466\) −4.14682 + 12.4665i −0.192098 + 0.577501i
\(467\) 19.4693 1.91755i 0.900930 0.0887339i 0.363064 0.931764i \(-0.381731\pi\)
0.537866 + 0.843030i \(0.319231\pi\)
\(468\) −5.30057 4.84399i −0.245019 0.223913i
\(469\) −20.6154 11.0191i −0.951929 0.508817i
\(470\) −2.31777 3.67686i −0.106911 0.169601i
\(471\) −0.616125 3.09747i −0.0283895 0.142724i
\(472\) 21.7734 18.5490i 1.00220 0.853787i
\(473\) 21.6586 + 4.30816i 0.995863 + 0.198090i
\(474\) −12.8651 5.73436i −0.590913 0.263388i
\(475\) 10.5395 + 1.03805i 0.483586 + 0.0476290i
\(476\) −51.9986 2.76879i −2.38335 0.126907i
\(477\) −7.40613 2.24662i −0.339103 0.102866i
\(478\) −2.92366 + 23.3100i −0.133725 + 1.06618i
\(479\) 23.6608 23.6608i 1.08109 1.08109i 0.0846799 0.996408i \(-0.473013\pi\)
0.996408 0.0846799i \(-0.0269868\pi\)
\(480\) 0.486175 + 2.98357i 0.0221908 + 0.136181i
\(481\) −6.79833 6.79833i −0.309977 0.309977i
\(482\) −3.04176 + 2.36377i −0.138548 + 0.107667i
\(483\) 8.46274 27.8979i 0.385068 1.26940i
\(484\) −1.56346 0.747338i −0.0710662 0.0339699i
\(485\) 0.721941 7.32999i 0.0327817 0.332838i
\(486\) 1.32049 0.506256i 0.0598988 0.0229642i
\(487\) −0.734123 + 3.69069i −0.0332663 + 0.167241i −0.993847 0.110759i \(-0.964672\pi\)
0.960581 + 0.278000i \(0.0896717\pi\)
\(488\) 15.7119 + 28.1384i 0.711244 + 1.27377i
\(489\) 5.14096 1.02260i 0.232482 0.0462436i
\(490\) 3.33451 14.7078i 0.150638 0.664430i
\(491\) −2.41253 + 4.51353i −0.108876 + 0.203693i −0.930459 0.366396i \(-0.880591\pi\)
0.821583 + 0.570089i \(0.193091\pi\)
\(492\) −1.69749 + 4.68341i −0.0765289 + 0.211144i
\(493\) −3.24366 32.9335i −0.146087 1.48325i
\(494\) −5.10727 10.1985i −0.229787 0.458854i
\(495\) 1.70070 0.704452i 0.0764407 0.0316628i
\(496\) −37.8225 + 11.1347i −1.69828 + 0.499962i
\(497\) −15.3992 6.37854i −0.690747 0.286117i
\(498\) −1.06254 14.8195i −0.0476133 0.664076i
\(499\) −2.34581 1.92516i −0.105013 0.0861819i 0.580422 0.814316i \(-0.302888\pi\)
−0.685435 + 0.728134i \(0.740388\pi\)
\(500\) 8.88330 + 5.37419i 0.397273 + 0.240341i
\(501\) 8.20230 2.48814i 0.366452 0.111162i
\(502\) −32.2546 + 5.52846i −1.43960 + 0.246747i
\(503\) −2.49809 + 3.73866i −0.111385 + 0.166699i −0.882974 0.469422i \(-0.844462\pi\)
0.771589 + 0.636121i \(0.219462\pi\)
\(504\) 0.269877 + 14.6824i 0.0120213 + 0.654005i
\(505\) 0.547224 0.365644i 0.0243512 0.0162709i
\(506\) −0.727520 + 27.3454i −0.0323422 + 1.21565i
\(507\) −0.0697413 0.0849800i −0.00309732 0.00377409i
\(508\) −5.25745 8.85384i −0.233262 0.392826i
\(509\) −21.5313 + 11.5087i −0.954357 + 0.510114i −0.873613 0.486621i \(-0.838229\pi\)
−0.0807432 + 0.996735i \(0.525729\pi\)
\(510\) −1.87476 + 3.29362i −0.0830160 + 0.145844i
\(511\) −6.01856 −0.266245
\(512\) 22.5930 1.24697i 0.998480 0.0551090i
\(513\) 2.24640 0.0991809
\(514\) 0.936366 1.64503i 0.0413013 0.0725590i
\(515\) 0.208798 0.111605i 0.00920073 0.00491789i
\(516\) 6.54612 + 11.0240i 0.288177 + 0.485306i
\(517\) 12.5685 + 15.3148i 0.552762 + 0.673543i
\(518\) −0.522922 + 19.6551i −0.0229759 + 0.863597i
\(519\) −9.90543 + 6.61860i −0.434800 + 0.290524i
\(520\) −0.0997289 5.42564i −0.00437340 0.237930i
\(521\) −16.1743 + 24.2066i −0.708611 + 1.06051i 0.286140 + 0.958188i \(0.407628\pi\)
−0.994751 + 0.102323i \(0.967372\pi\)
\(522\) −9.19835 + 1.57660i −0.402601 + 0.0690060i
\(523\) 38.6897 11.7364i 1.69178 0.513197i 0.710163 0.704037i \(-0.248621\pi\)
0.981621 + 0.190840i \(0.0611211\pi\)
\(524\) −0.247655 0.149826i −0.0108189 0.00654517i
\(525\) 18.9208 + 15.5279i 0.825772 + 0.677694i
\(526\) 2.72566 + 38.0156i 0.118845 + 1.65756i
\(527\) −45.6673 18.9160i −1.98930 0.823995i
\(528\) −3.89134 13.2182i −0.169349 0.575248i
\(529\) 7.88074 3.26431i 0.342641 0.141927i
\(530\) −2.61898 5.22975i −0.113761 0.227166i
\(531\) −0.991226 10.0641i −0.0430155 0.436744i
\(532\) −7.94851 + 21.9300i −0.344612 + 0.950788i
\(533\) 4.21549 7.88663i 0.182593 0.341608i
\(534\) −4.59260 + 20.2570i −0.198741 + 0.876605i
\(535\) 6.34226 1.26155i 0.274200 0.0545417i
\(536\) 6.20838 + 11.1186i 0.268161 + 0.480250i
\(537\) −2.89861 + 14.5723i −0.125084 + 0.628840i
\(538\) −17.2393 + 6.60929i −0.743241 + 0.284947i
\(539\) −6.73795 + 68.4115i −0.290224 + 2.94669i
\(540\) 0.964264 + 0.460922i 0.0414953 + 0.0198349i
\(541\) −0.462326 + 1.52409i −0.0198770 + 0.0655256i −0.966318 0.257352i \(-0.917150\pi\)
0.946441 + 0.322877i \(0.104650\pi\)
\(542\) 9.37137 7.28255i 0.402535 0.312812i
\(543\) −8.87072 8.87072i −0.380679 0.380679i
\(544\) 23.0241 + 16.5719i 0.987149 + 0.710513i
\(545\) −3.92627 + 3.92627i −0.168183 + 0.168183i
\(546\) 3.28066 26.1564i 0.140399 1.11939i
\(547\) 36.3399 + 11.0236i 1.55378 + 0.471335i 0.946379 0.323058i \(-0.104711\pi\)
0.607404 + 0.794393i \(0.292211\pi\)
\(548\) −1.56727 0.0834531i −0.0669504 0.00356494i
\(549\) 11.3394 + 1.11683i 0.483954 + 0.0476653i
\(550\) −20.9775 9.35032i −0.894485 0.398699i
\(551\) −14.5393 2.89205i −0.619395 0.123205i
\(552\) −12.0898 + 10.2994i −0.514575 + 0.438372i
\(553\) −10.0881 50.7162i −0.428989 2.15667i
\(554\) −15.3286 24.3170i −0.651251 1.03313i
\(555\) 1.26203 + 0.674571i 0.0535704 + 0.0286340i
\(556\) 8.12974 + 7.42945i 0.344778 + 0.315079i
\(557\) 35.2905 3.47581i 1.49531 0.147275i 0.682962 0.730454i \(-0.260692\pi\)
0.812343 + 0.583179i \(0.198192\pi\)
\(558\) −4.39982 + 13.2271i −0.186259 + 0.559949i
\(559\) −8.80772 21.2637i −0.372527 0.899359i
\(560\) −7.91155 + 7.78255i −0.334324 + 0.328873i
\(561\) 6.61076 15.9598i 0.279107 0.673823i
\(562\) −2.55529 2.21338i −0.107788 0.0933660i
\(563\) −6.62427 + 8.07170i −0.279180 + 0.340182i −0.893655 0.448754i \(-0.851868\pi\)
0.614475 + 0.788936i \(0.289368\pi\)
\(564\) −1.73452 + 11.3710i −0.0730367 + 0.478807i
\(565\) −0.0429116 0.141461i −0.00180530 0.00595129i
\(566\) −16.8923 11.9489i −0.710036 0.502250i
\(567\) 4.31689 + 2.88445i 0.181292 + 0.121136i
\(568\) 5.18267 + 7.45604i 0.217460 + 0.312849i
\(569\) 7.65948 + 11.4632i 0.321102 + 0.480563i 0.956545 0.291585i \(-0.0941825\pi\)
−0.635443 + 0.772148i \(0.719182\pi\)
\(570\) 1.16808 + 1.23194i 0.0489256 + 0.0516001i
\(571\) 20.4555 16.7874i 0.856035 0.702529i −0.100252 0.994962i \(-0.531965\pi\)
0.956286 + 0.292433i \(0.0944648\pi\)
\(572\) 3.52884 + 24.4823i 0.147548 + 1.02366i
\(573\) 4.37281 + 8.18096i 0.182677 + 0.341764i
\(574\) −17.6358 + 4.84150i −0.736105 + 0.202080i
\(575\) 26.4723i 1.10397i
\(576\) 4.19711 6.81060i 0.174880 0.283775i
\(577\) 3.89244i 0.162044i 0.996712 + 0.0810222i \(0.0258185\pi\)
−0.996712 + 0.0810222i \(0.974182\pi\)
\(578\) 3.05049 + 11.1119i 0.126884 + 0.462192i
\(579\) −2.18983 4.09688i −0.0910060 0.170260i
\(580\) −5.64758 4.22462i −0.234503 0.175418i
\(581\) 42.1639 34.6030i 1.74925 1.43558i
\(582\) −14.1448 + 13.4117i −0.586323 + 0.555933i
\(583\) 14.8117 + 22.1673i 0.613439 + 0.918076i
\(584\) 2.75923 + 1.77119i 0.114178 + 0.0732922i
\(585\) −1.59524 1.06590i −0.0659550 0.0440697i
\(586\) 13.5326 19.1312i 0.559028 0.790304i
\(587\) 10.5336 + 34.7247i 0.434769 + 1.43324i 0.851568 + 0.524243i \(0.175652\pi\)
−0.416799 + 0.908999i \(0.636848\pi\)
\(588\) −32.1544 + 23.6431i −1.32603 + 0.975027i
\(589\) −14.0470 + 17.1163i −0.578797 + 0.705266i
\(590\) 5.00377 5.77672i 0.206002 0.237824i
\(591\) −4.02627 + 9.72029i −0.165619 + 0.399839i
\(592\) 6.02399 8.85706i 0.247584 0.364023i
\(593\) −3.90213 9.42058i −0.160241 0.386857i 0.823283 0.567631i \(-0.192140\pi\)
−0.983525 + 0.180774i \(0.942140\pi\)
\(594\) −4.62261 1.53765i −0.189668 0.0630904i
\(595\) −13.8462 + 1.36373i −0.567640 + 0.0559076i
\(596\) 35.3485 1.59096i 1.44793 0.0651683i
\(597\) −20.2717 10.8354i −0.829664 0.443465i
\(598\) 24.1185 15.2035i 0.986279 0.621718i
\(599\) −4.34707 21.8542i −0.177616 0.892938i −0.962081 0.272764i \(-0.912062\pi\)
0.784464 0.620174i \(-0.212938\pi\)
\(600\) −4.10464 12.6870i −0.167571 0.517943i
\(601\) −22.7111 4.51752i −0.926405 0.184273i −0.291240 0.956650i \(-0.594068\pi\)
−0.635165 + 0.772377i \(0.719068\pi\)
\(602\) −19.1627 + 42.9917i −0.781014 + 1.75221i
\(603\) 4.48064 + 0.441305i 0.182466 + 0.0179713i
\(604\) −8.38724 9.33067i −0.341272 0.379660i
\(605\) −0.443075 0.134405i −0.0180136 0.00546435i
\(606\) −1.72820 0.216759i −0.0702032 0.00880523i
\(607\) 11.0345 11.0345i 0.447876 0.447876i −0.446772 0.894648i \(-0.647426\pi\)
0.894648 + 0.446772i \(0.147426\pi\)
\(608\) 10.0978 7.71475i 0.409518 0.312874i
\(609\) −24.2266 24.2266i −0.981711 0.981711i
\(610\) 5.28379 + 6.79931i 0.213934 + 0.275296i
\(611\) 5.99400 19.7596i 0.242491 0.799386i
\(612\) 9.45707 3.34002i 0.382279 0.135012i
\(613\) −3.22927 + 32.7873i −0.130429 + 1.32427i 0.677734 + 0.735307i \(0.262962\pi\)
−0.808163 + 0.588959i \(0.799538\pi\)
\(614\) 0.0411879 + 0.107433i 0.00166221 + 0.00433563i
\(615\) −0.259670 + 1.30545i −0.0104709 + 0.0526407i
\(616\) 31.3673 39.6866i 1.26383 1.59902i
\(617\) 23.7640 4.72695i 0.956702 0.190300i 0.308037 0.951374i \(-0.400328\pi\)
0.648665 + 0.761074i \(0.275328\pi\)
\(618\) −0.611048 0.138535i −0.0245800 0.00557270i
\(619\) 22.8405 42.7315i 0.918036 1.71753i 0.258240 0.966081i \(-0.416858\pi\)
0.659797 0.751444i \(-0.270642\pi\)
\(620\) −9.54164 + 4.46496i −0.383201 + 0.179317i
\(621\) 0.550382 + 5.58812i 0.0220861 + 0.224244i
\(622\) 10.3910 5.20367i 0.416643 0.208648i
\(623\) −70.4504 + 29.1815i −2.82254 + 1.16913i
\(624\) −9.20152 + 11.0260i −0.368356 + 0.441394i
\(625\) −19.2149 7.95909i −0.768597 0.318363i
\(626\) −31.1982 + 2.23687i −1.24693 + 0.0894032i
\(627\) −5.98181 4.90914i −0.238890 0.196052i
\(628\) −6.13327 + 1.50954i −0.244744 + 0.0602373i
\(629\) 12.8507 3.89821i 0.512390 0.155432i
\(630\) 0.662850 + 3.86726i 0.0264086 + 0.154075i
\(631\) −17.0750 + 25.5545i −0.679744 + 1.01731i 0.317861 + 0.948137i \(0.397035\pi\)
−0.997605 + 0.0691713i \(0.977965\pi\)
\(632\) −10.3002 + 26.2198i −0.409721 + 1.04297i
\(633\) −4.34773 + 2.90506i −0.172807 + 0.115466i
\(634\) −14.3818 0.382627i −0.571175 0.0151960i
\(635\) −1.74541 2.12679i −0.0692644 0.0843989i
\(636\) −3.82271 + 14.9993i −0.151580 + 0.594761i
\(637\) 63.1862 33.7738i 2.50353 1.33816i
\(638\) 27.9392 + 15.9033i 1.10612 + 0.629617i
\(639\) 3.21039 0.127001
\(640\) 5.91738 1.23966i 0.233905 0.0490020i
\(641\) 47.7760 1.88704 0.943520 0.331315i \(-0.107492\pi\)
0.943520 + 0.331315i \(0.107492\pi\)
\(642\) −14.8727 8.46569i −0.586978 0.334114i
\(643\) −10.2200 + 5.46271i −0.403038 + 0.215428i −0.660444 0.750875i \(-0.729632\pi\)
0.257406 + 0.966303i \(0.417132\pi\)
\(644\) −56.5004 14.3997i −2.22643 0.567426i
\(645\) 2.17323 + 2.64809i 0.0855709 + 0.104268i
\(646\) 15.9257 + 0.423702i 0.626590 + 0.0166703i
\(647\) −33.1209 + 22.1307i −1.30212 + 0.870047i −0.996620 0.0821464i \(-0.973823\pi\)
−0.305497 + 0.952193i \(0.598823\pi\)
\(648\) −1.13023 2.59279i −0.0443998 0.101855i
\(649\) −19.3540 + 28.9653i −0.759709 + 1.13699i
\(650\) 4.04387 + 23.5931i 0.158613 + 0.925397i
\(651\) −48.9720 + 14.8555i −1.91936 + 0.582233i
\(652\) −2.50543 10.1796i −0.0981203 0.398662i
\(653\) 14.9173 + 12.2424i 0.583761 + 0.479080i 0.879312 0.476247i \(-0.158003\pi\)
−0.295551 + 0.955327i \(0.595503\pi\)
\(654\) 14.6570 1.05089i 0.573134 0.0410930i
\(655\) −0.0714512 0.0295961i −0.00279183 0.00115641i
\(656\) 9.50999 + 2.97040i 0.371303 + 0.115975i
\(657\) 1.07098 0.443616i 0.0417831 0.0173071i
\(658\) −37.7584 + 18.9088i −1.47197 + 0.737142i
\(659\) 0.735491 + 7.46756i 0.0286507 + 0.290895i 0.998824 + 0.0484829i \(0.0154386\pi\)
−0.970173 + 0.242412i \(0.922061\pi\)
\(660\) −1.56041 3.33461i −0.0607390 0.129799i
\(661\) −7.86661 + 14.7174i −0.305976 + 0.572440i −0.987172 0.159661i \(-0.948960\pi\)
0.681196 + 0.732101i \(0.261460\pi\)
\(662\) −12.4312 2.81838i −0.483154 0.109539i
\(663\) −17.6585 + 3.51249i −0.685798 + 0.136414i
\(664\) −29.5134 + 3.45556i −1.14534 + 0.134102i
\(665\) −1.21590 + 6.11275i −0.0471507 + 0.237042i
\(666\) −1.35569 3.53612i −0.0525319 0.137022i
\(667\) 3.63201 36.8764i 0.140632 1.42786i
\(668\) −5.70884 16.1643i −0.220882 0.625414i
\(669\) −4.19972 + 13.8446i −0.162371 + 0.535264i
\(670\) 2.08783 + 2.68667i 0.0806600 + 0.103795i
\(671\) −27.7544 27.7544i −1.07145 1.07145i
\(672\) 29.3108 1.85952i 1.13069 0.0717325i
\(673\) −5.57698 + 5.57698i −0.214977 + 0.214977i −0.806378 0.591401i \(-0.798575\pi\)
0.591401 + 0.806378i \(0.298575\pi\)
\(674\) 25.6352 + 3.21529i 0.987431 + 0.123848i
\(675\) −4.51143 1.36853i −0.173645 0.0526747i
\(676\) −0.163517 + 0.146983i −0.00628910 + 0.00565321i
\(677\) −30.4282 2.99691i −1.16945 0.115181i −0.505411 0.862879i \(-0.668659\pi\)
−0.664039 + 0.747698i \(0.731159\pi\)
\(678\) −0.159271 + 0.357325i −0.00611675 + 0.0137230i
\(679\) −70.1854 13.9608i −2.69347 0.535765i
\(680\) 6.74917 + 3.44956i 0.258819 + 0.132285i
\(681\) −3.01090 15.1368i −0.115378 0.580044i
\(682\) 40.6218 25.6067i 1.55549 0.980530i
\(683\) 40.0665 + 21.4160i 1.53310 + 0.819461i 0.999652 0.0263699i \(-0.00839476\pi\)
0.533451 + 0.845831i \(0.320895\pi\)
\(684\) −0.202007 4.48825i −0.00772393 0.171613i
\(685\) −0.417334 + 0.0411038i −0.0159455 + 0.00157050i
\(686\) −90.2630 30.0247i −3.44626 1.14635i
\(687\) 10.0108 + 24.1682i 0.381936 + 0.922075i
\(688\) 21.4371 14.0703i 0.817283 0.536427i
\(689\) 10.6334 25.6714i 0.405102 0.978002i
\(690\) −2.77837 + 3.20755i −0.105771 + 0.122109i
\(691\) 11.9969 14.6183i 0.456385 0.556107i −0.493078 0.869985i \(-0.664128\pi\)
0.949463 + 0.313878i \(0.101628\pi\)
\(692\) 14.1146 + 19.1957i 0.536555 + 0.729709i
\(693\) −5.19169 17.1147i −0.197216 0.650134i
\(694\) 4.74757 6.71169i 0.180215 0.254772i
\(695\) 2.44669 + 1.63483i 0.0928083 + 0.0620125i
\(696\) 3.97717 + 18.2363i 0.150754 + 0.691246i
\(697\) 6.93944 + 10.3856i 0.262850 + 0.393383i
\(698\) 10.3096 9.77527i 0.390225 0.370000i
\(699\) 7.18131 5.89355i 0.271622 0.222915i
\(700\) 29.3230 39.1997i 1.10830 1.48161i
\(701\) −16.0769 30.0778i −0.607216 1.13602i −0.978255 0.207405i \(-0.933498\pi\)
0.371039 0.928617i \(-0.379002\pi\)
\(702\) 1.34415 + 4.89626i 0.0507318 + 0.184798i
\(703\) 6.01557i 0.226882i
\(704\) −26.0597 + 8.96345i −0.982163 + 0.337823i
\(705\) 3.07338i 0.115750i
\(706\) −14.1397 + 3.88173i −0.532156 + 0.146091i
\(707\) −3.01425 5.63926i −0.113362 0.212086i
\(708\) −20.0187 + 2.88546i −0.752348 + 0.108442i
\(709\) 16.1292 13.2369i 0.605746 0.497123i −0.280798 0.959767i \(-0.590599\pi\)
0.886544 + 0.462644i \(0.153099\pi\)
\(710\) 1.66934 + 1.76059i 0.0626491 + 0.0660738i
\(711\) 5.53334 + 8.28123i 0.207516 + 0.310570i
\(712\) 40.8860 + 7.35431i 1.53227 + 0.275614i
\(713\) −46.0201 30.7496i −1.72347 1.15158i
\(714\) 30.0603 + 21.2634i 1.12498 + 0.795764i
\(715\) 1.91851 + 6.32447i 0.0717481 + 0.236522i
\(716\) 29.3757 + 4.48094i 1.09782 + 0.167461i
\(717\) 10.5384 12.8411i 0.393565 0.479560i
\(718\) 30.6477 + 26.5469i 1.14376 + 0.990721i
\(719\) 3.15492 7.61665i 0.117659 0.284053i −0.854068 0.520161i \(-0.825872\pi\)
0.971727 + 0.236108i \(0.0758719\pi\)
\(720\) 0.834200 1.96803i 0.0310888 0.0733440i
\(721\) −0.880256 2.12513i −0.0327824 0.0791438i
\(722\) −6.22853 + 18.7248i −0.231802 + 0.696863i
\(723\) 2.71083 0.266993i 0.100817 0.00992958i
\(724\) −16.9258 + 18.5212i −0.629042 + 0.688335i
\(725\) 27.4373 + 14.6656i 1.01900 + 0.544665i
\(726\) 0.653424 + 1.03658i 0.0242508 + 0.0384709i
\(727\) −6.39658 32.1578i −0.237236 1.19267i −0.897288 0.441446i \(-0.854466\pi\)
0.660052 0.751220i \(-0.270534\pi\)
\(728\) −52.5549 4.20258i −1.94781 0.155758i
\(729\) −0.980785 0.195090i −0.0363254 0.00722557i
\(730\) 0.800172 + 0.356661i 0.0296157 + 0.0132006i
\(731\) 31.9927 + 3.15101i 1.18329 + 0.116544i
\(732\) 1.21172 22.7563i 0.0447863 0.841097i
\(733\) 10.1917 + 3.09161i 0.376438 + 0.114191i 0.472833 0.881152i \(-0.343231\pi\)
−0.0963953 + 0.995343i \(0.530731\pi\)
\(734\) 2.37482 18.9342i 0.0876560 0.698873i
\(735\) −7.54053 + 7.54053i −0.278136 + 0.278136i
\(736\) 21.6652 + 23.2289i 0.798588 + 0.856229i
\(737\) −10.9669 10.9669i −0.403969 0.403969i
\(738\) 2.78138 2.16143i 0.102384 0.0795634i
\(739\) −2.95849 + 9.75283i −0.108830 + 0.358764i −0.994392 0.105757i \(-0.966273\pi\)
0.885562 + 0.464521i \(0.153773\pi\)
\(740\) 1.23429 2.58218i 0.0453734 0.0949227i
\(741\) −0.790527 + 8.02635i −0.0290407 + 0.294855i
\(742\) −53.0600 + 20.3423i −1.94789 + 0.746791i
\(743\) 7.87406 39.5856i 0.288871 1.45225i −0.514866 0.857270i \(-0.672158\pi\)
0.803738 0.594984i \(-0.202842\pi\)
\(744\) 26.8232 + 7.60129i 0.983385 + 0.278677i
\(745\) 9.27268 1.84445i 0.339725 0.0675755i
\(746\) 3.90615 17.2292i 0.143014 0.630806i
\(747\) −4.95242 + 9.26532i −0.181200 + 0.339000i
\(748\) −32.4818 11.7730i −1.18765 0.430462i
\(749\) −6.15808 62.5240i −0.225011 2.28458i
\(750\) −3.28733 6.56436i −0.120036 0.239697i
\(751\) 12.5412 5.19472i 0.457634 0.189558i −0.141944 0.989875i \(-0.545335\pi\)
0.599578 + 0.800317i \(0.295335\pi\)
\(752\) 22.8751 + 2.44300i 0.834167 + 0.0890871i
\(753\) 21.3786 + 8.85532i 0.779081 + 0.322706i
\(754\) −2.39620 33.4204i −0.0872644 1.21710i
\(755\) −2.59131 2.12663i −0.0943074 0.0773961i
\(756\) 5.37488 8.88443i 0.195482 0.323124i
\(757\) 6.33281 1.92104i 0.230170 0.0698213i −0.173093 0.984906i \(-0.555376\pi\)
0.403263 + 0.915084i \(0.367876\pi\)
\(758\) 43.7375 7.49663i 1.58862 0.272290i
\(759\) 10.7464 16.0831i 0.390068 0.583779i
\(760\) 2.35634 2.44459i 0.0854734 0.0886744i
\(761\) 40.1714 26.8417i 1.45621 0.973009i 0.459831 0.888007i \(-0.347910\pi\)
0.996381 0.0850026i \(-0.0270899\pi\)
\(762\) −0.193646 + 7.27861i −0.00701507 + 0.263676i
\(763\) 34.2237 + 41.7017i 1.23898 + 1.50970i
\(764\) 15.9521 9.47245i 0.577128 0.342701i
\(765\) 2.36338 1.26325i 0.0854480 0.0456729i
\(766\) 10.9145 19.1747i 0.394355 0.692811i
\(767\) 36.3077 1.31099
\(768\) −13.9848 7.77329i −0.504635 0.280494i
\(769\) 29.9330 1.07941 0.539705 0.841854i \(-0.318536\pi\)
0.539705 + 0.841854i \(0.318536\pi\)
\(770\) 6.68621 11.7465i 0.240954 0.423313i
\(771\) −1.18041 + 0.630940i −0.0425113 + 0.0227228i
\(772\) −7.98854 + 4.74363i −0.287514 + 0.170727i
\(773\) −12.9858 15.8233i −0.467068 0.569125i 0.485193