Properties

Label 507.2.t.b.4.7
Level $507$
Weight $2$
Character 507.4
Analytic conductor $4.048$
Analytic rank $0$
Dimension $360$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 507 = 3 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 507.t (of order \(78\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.04841538248\)
Analytic rank: \(0\)
Dimension: \(360\)
Relative dimension: \(15\) over \(\Q(\zeta_{78})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{78}]$

Embedding invariants

Embedding label 4.7
Character \(\chi\) \(=\) 507.4
Dual form 507.2.t.b.127.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.218325 - 0.00879818i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.94593 - 0.157091i) q^{4} +(-3.83328 - 1.45377i) q^{5} +(0.0691925 - 0.207257i) q^{6} +(1.70758 + 4.00784i) q^{7} +(0.857279 + 0.104093i) q^{8} +(-0.845190 - 0.534466i) q^{9} +O(q^{10})\) \(q+(-0.218325 - 0.00879818i) q^{2} +(-0.278217 + 0.960518i) q^{3} +(-1.94593 - 0.157091i) q^{4} +(-3.83328 - 1.45377i) q^{5} +(0.0691925 - 0.207257i) q^{6} +(1.70758 + 4.00784i) q^{7} +(0.857279 + 0.104093i) q^{8} +(-0.845190 - 0.534466i) q^{9} +(0.824109 + 0.351120i) q^{10} +(-0.471741 - 0.745999i) q^{11} +(0.692280 - 1.82539i) q^{12} +(0.0746234 - 3.60478i) q^{13} +(-0.337546 - 0.890034i) q^{14} +(2.46286 - 3.27747i) q^{15} +(3.66770 + 0.596060i) q^{16} +(-2.47890 + 1.05616i) q^{17} +(0.179823 + 0.124123i) q^{18} +(5.33520 - 3.08028i) q^{19} +(7.23091 + 3.43111i) q^{20} +(-4.32468 + 0.525112i) q^{21} +(0.0964293 + 0.167020i) q^{22} +(2.74639 - 4.75689i) q^{23} +(-0.338493 + 0.794472i) q^{24} +(8.83804 + 7.82982i) q^{25} +(-0.0480076 + 0.786356i) q^{26} +(0.748511 - 0.663123i) q^{27} +(-2.69323 - 8.06721i) q^{28} +(0.160201 - 3.97535i) q^{29} +(-0.566539 + 0.693884i) q^{30} +(-5.18259 - 5.84993i) q^{31} +(-2.48775 - 0.507878i) q^{32} +(0.847792 - 0.245566i) q^{33} +(0.550498 - 0.208776i) q^{34} +(-0.719154 - 17.8456i) q^{35} +(1.56072 + 1.17280i) q^{36} +(1.36128 - 0.277908i) q^{37} +(-1.19191 + 0.625561i) q^{38} +(3.44169 + 1.07459i) q^{39} +(-3.13487 - 1.64530i) q^{40} +(8.14041 + 2.35790i) q^{41} +(0.948805 - 0.0765955i) q^{42} +(-0.847610 + 4.15187i) q^{43} +(0.800783 + 1.52577i) q^{44} +(2.46286 + 3.27747i) q^{45} +(-0.641458 + 1.01438i) q^{46} +(-1.15310 + 0.795930i) q^{47} +(-1.59294 + 3.35706i) q^{48} +(-8.29789 + 8.63902i) q^{49} +(-1.86067 - 1.78720i) q^{50} +(-0.324789 - 2.67488i) q^{51} +(-0.711492 + 7.00291i) q^{52} +(-0.436224 + 3.59263i) q^{53} +(-0.169253 + 0.138190i) q^{54} +(0.723804 + 3.54543i) q^{55} +(1.04669 + 3.61359i) q^{56} +(1.47432 + 5.98155i) q^{57} +(-0.0699517 + 0.866508i) q^{58} +(-1.39690 - 8.59548i) q^{59} +(-5.30741 + 5.99082i) q^{60} +(9.91335 - 7.44940i) q^{61} +(1.08002 + 1.32278i) q^{62} +(0.698823 - 4.30003i) q^{63} +(-6.67702 - 1.64574i) q^{64} +(-5.52658 + 13.7096i) q^{65} +(-0.187254 + 0.0461541i) q^{66} +(0.132931 + 1.64665i) q^{67} +(4.98968 - 1.66580i) q^{68} +(3.80499 + 3.96141i) q^{69} +3.90247i q^{70} +(2.58919 - 2.48695i) q^{71} +(-0.668930 - 0.546164i) q^{72} +(-3.89183 + 7.41526i) q^{73} +(-0.299646 + 0.0486973i) q^{74} +(-9.97959 + 6.31071i) q^{75} +(-10.8658 + 5.15588i) q^{76} +(2.18431 - 3.16452i) q^{77} +(-0.741952 - 0.264890i) q^{78} +(-1.09155 - 1.58138i) q^{79} +(-13.1928 - 7.61687i) q^{80} +(0.428693 + 0.903450i) q^{81} +(-1.75651 - 0.586408i) q^{82} +(1.12885 - 4.57991i) q^{83} +(8.49801 - 0.342458i) q^{84} +(11.0378 - 0.444806i) q^{85} +(0.221583 - 0.898998i) q^{86} +(3.77383 + 1.25989i) q^{87} +(-0.326761 - 0.688634i) q^{88} +(-12.4332 - 7.17831i) q^{89} +(-0.508867 - 0.737222i) q^{90} +(14.5748 - 5.85638i) q^{91} +(-6.09155 + 8.82513i) q^{92} +(7.06086 - 3.35042i) q^{93} +(0.258754 - 0.163626i) q^{94} +(-24.9294 + 4.05141i) q^{95} +(1.17996 - 2.24823i) q^{96} +(-13.8277 - 11.2900i) q^{97} +(1.88764 - 1.81310i) q^{98} +0.882640i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + O(q^{10}) \) \( 360q - 15q^{3} - 14q^{4} + 3q^{7} + 15q^{9} + 6q^{11} - 28q^{12} + 6q^{13} + 4q^{14} - 6q^{15} + 20q^{16} - 6q^{19} - 12q^{20} - 28q^{22} + 46q^{23} - 6q^{25} - 39q^{26} + 30q^{27} - 6q^{28} + 43q^{29} + 26q^{31} - 195q^{32} + 19q^{33} + 65q^{34} + 84q^{35} - 14q^{36} - 65q^{38} - 2q^{39} + 12q^{41} - 128q^{42} + 83q^{43} - 39q^{44} - 6q^{45} - 20q^{48} + 72q^{49} - 52q^{50} - 55q^{52} + 49q^{53} - 49q^{55} - 2q^{56} + 26q^{57} + 26q^{58} - 202q^{59} - 182q^{60} - 3q^{61} - 65q^{62} - 3q^{63} - 14q^{64} - 58q^{65} + 48q^{66} - 41q^{67} + 139q^{68} + 6q^{69} - 60q^{71} - 52q^{73} - 269q^{74} + 23q^{75} - 14q^{76} + 70q^{77} - 65q^{78} + 18q^{79} + 492q^{80} + 15q^{81} - 65q^{82} + 78q^{83} - 6q^{84} - 91q^{85} - 169q^{86} + 48q^{87} - 522q^{88} - 12q^{89} + 373q^{91} + 72q^{92} - 3q^{93} - 13q^{94} - 110q^{95} + 65q^{96} - 121q^{97} - 104q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).

\(n\) \(170\) \(340\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{78}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.218325 0.00879818i −0.154379 0.00622125i −0.0370438 0.999314i \(-0.511794\pi\)
−0.117335 + 0.993092i \(0.537435\pi\)
\(3\) −0.278217 + 0.960518i −0.160629 + 0.554555i
\(4\) −1.94593 0.157091i −0.972963 0.0785457i
\(5\) −3.83328 1.45377i −1.71430 0.650147i −0.715472 0.698641i \(-0.753788\pi\)
−0.998823 + 0.0484944i \(0.984558\pi\)
\(6\) 0.0691925 0.207257i 0.0282477 0.0846123i
\(7\) 1.70758 + 4.00784i 0.645405 + 1.51482i 0.844901 + 0.534923i \(0.179659\pi\)
−0.199495 + 0.979899i \(0.563930\pi\)
\(8\) 0.857279 + 0.104093i 0.303094 + 0.0368023i
\(9\) −0.845190 0.534466i −0.281730 0.178155i
\(10\) 0.824109 + 0.351120i 0.260606 + 0.111034i
\(11\) −0.471741 0.745999i −0.142235 0.224927i 0.766557 0.642177i \(-0.221968\pi\)
−0.908792 + 0.417250i \(0.862994\pi\)
\(12\) 0.692280 1.82539i 0.199844 0.526945i
\(13\) 0.0746234 3.60478i 0.0206968 0.999786i
\(14\) −0.337546 0.890034i −0.0902128 0.237872i
\(15\) 2.46286 3.27747i 0.635908 0.846240i
\(16\) 3.66770 + 0.596060i 0.916926 + 0.149015i
\(17\) −2.47890 + 1.05616i −0.601223 + 0.256157i −0.671062 0.741401i \(-0.734162\pi\)
0.0698394 + 0.997558i \(0.477751\pi\)
\(18\) 0.179823 + 0.124123i 0.0423848 + 0.0292561i
\(19\) 5.33520 3.08028i 1.22398 0.706665i 0.258215 0.966087i \(-0.416866\pi\)
0.965764 + 0.259423i \(0.0835323\pi\)
\(20\) 7.23091 + 3.43111i 1.61688 + 0.767219i
\(21\) −4.32468 + 0.525112i −0.943723 + 0.114589i
\(22\) 0.0964293 + 0.167020i 0.0205588 + 0.0356089i
\(23\) 2.74639 4.75689i 0.572663 0.991881i −0.423629 0.905836i \(-0.639244\pi\)
0.996291 0.0860449i \(-0.0274229\pi\)
\(24\) −0.338493 + 0.794472i −0.0690945 + 0.162171i
\(25\) 8.83804 + 7.82982i 1.76761 + 1.56596i
\(26\) −0.0480076 + 0.786356i −0.00941507 + 0.154217i
\(27\) 0.748511 0.663123i 0.144051 0.127618i
\(28\) −2.69323 8.06721i −0.508973 1.52456i
\(29\) 0.160201 3.97535i 0.0297486 0.738204i −0.913642 0.406520i \(-0.866742\pi\)
0.943390 0.331684i \(-0.107617\pi\)
\(30\) −0.566539 + 0.693884i −0.103435 + 0.126685i
\(31\) −5.18259 5.84993i −0.930821 1.05068i −0.998596 0.0529787i \(-0.983128\pi\)
0.0677750 0.997701i \(-0.478410\pi\)
\(32\) −2.48775 0.507878i −0.439777 0.0897810i
\(33\) 0.847792 0.245566i 0.147582 0.0427475i
\(34\) 0.550498 0.208776i 0.0944097 0.0358049i
\(35\) −0.719154 17.8456i −0.121559 3.01646i
\(36\) 1.56072 + 1.17280i 0.260120 + 0.195467i
\(37\) 1.36128 0.277908i 0.223793 0.0456877i −0.0868203 0.996224i \(-0.527671\pi\)
0.310614 + 0.950536i \(0.399465\pi\)
\(38\) −1.19191 + 0.625561i −0.193353 + 0.101479i
\(39\) 3.44169 + 1.07459i 0.551112 + 0.172072i
\(40\) −3.13487 1.64530i −0.495666 0.260145i
\(41\) 8.14041 + 2.35790i 1.27132 + 0.368242i 0.844236 0.535971i \(-0.180054\pi\)
0.427082 + 0.904213i \(0.359542\pi\)
\(42\) 0.948805 0.0765955i 0.146404 0.0118189i
\(43\) −0.847610 + 4.15187i −0.129259 + 0.633154i 0.862607 + 0.505874i \(0.168830\pi\)
−0.991867 + 0.127280i \(0.959375\pi\)
\(44\) 0.800783 + 1.52577i 0.120723 + 0.230018i
\(45\) 2.46286 + 3.27747i 0.367142 + 0.488577i
\(46\) −0.641458 + 1.01438i −0.0945778 + 0.149563i
\(47\) −1.15310 + 0.795930i −0.168198 + 0.116098i −0.649190 0.760626i \(-0.724892\pi\)
0.480992 + 0.876725i \(0.340277\pi\)
\(48\) −1.59294 + 3.35706i −0.229922 + 0.484550i
\(49\) −8.29789 + 8.63902i −1.18541 + 1.23415i
\(50\) −1.86067 1.78720i −0.263139 0.252749i
\(51\) −0.324789 2.67488i −0.0454795 0.374557i
\(52\) −0.711492 + 7.00291i −0.0986661 + 0.971129i
\(53\) −0.436224 + 3.59263i −0.0599200 + 0.493486i 0.931595 + 0.363497i \(0.118417\pi\)
−0.991515 + 0.129989i \(0.958506\pi\)
\(54\) −0.169253 + 0.138190i −0.0230324 + 0.0188053i
\(55\) 0.723804 + 3.54543i 0.0975977 + 0.478065i
\(56\) 1.04669 + 3.61359i 0.139870 + 0.482886i
\(57\) 1.47432 + 5.98155i 0.195278 + 0.792275i
\(58\) −0.0699517 + 0.866508i −0.00918511 + 0.113778i
\(59\) −1.39690 8.59548i −0.181861 1.11904i −0.904077 0.427369i \(-0.859441\pi\)
0.722217 0.691667i \(-0.243123\pi\)
\(60\) −5.30741 + 5.99082i −0.685183 + 0.773412i
\(61\) 9.91335 7.44940i 1.26927 0.953798i 0.269317 0.963051i \(-0.413202\pi\)
0.999957 + 0.00925353i \(0.00294553\pi\)
\(62\) 1.08002 + 1.32278i 0.137162 + 0.167994i
\(63\) 0.698823 4.30003i 0.0880435 0.541753i
\(64\) −6.67702 1.64574i −0.834628 0.205717i
\(65\) −5.52658 + 13.7096i −0.685488 + 1.70047i
\(66\) −0.187254 + 0.0461541i −0.0230494 + 0.00568117i
\(67\) 0.132931 + 1.64665i 0.0162401 + 0.201170i 0.999789 + 0.0205291i \(0.00653508\pi\)
−0.983549 + 0.180641i \(0.942183\pi\)
\(68\) 4.98968 1.66580i 0.605088 0.202008i
\(69\) 3.80499 + 3.96141i 0.458067 + 0.476898i
\(70\) 3.90247i 0.466434i
\(71\) 2.58919 2.48695i 0.307280 0.295147i −0.523183 0.852221i \(-0.675255\pi\)
0.830463 + 0.557074i \(0.188076\pi\)
\(72\) −0.668930 0.546164i −0.0788341 0.0643661i
\(73\) −3.89183 + 7.41526i −0.455504 + 0.867891i 0.544079 + 0.839034i \(0.316879\pi\)
−0.999584 + 0.0288568i \(0.990813\pi\)
\(74\) −0.299646 + 0.0486973i −0.0348332 + 0.00566094i
\(75\) −9.97959 + 6.31071i −1.15234 + 0.728698i
\(76\) −10.8658 + 5.15588i −1.24639 + 0.591420i
\(77\) 2.18431 3.16452i 0.248925 0.360630i
\(78\) −0.741952 0.264890i −0.0840095 0.0299929i
\(79\) −1.09155 1.58138i −0.122809 0.177919i 0.756757 0.653696i \(-0.226782\pi\)
−0.879566 + 0.475777i \(0.842167\pi\)
\(80\) −13.1928 7.61687i −1.47500 0.851592i
\(81\) 0.428693 + 0.903450i 0.0476325 + 0.100383i
\(82\) −1.75651 0.586408i −0.193974 0.0647579i
\(83\) 1.12885 4.57991i 0.123907 0.502710i −0.875889 0.482513i \(-0.839724\pi\)
0.999796 0.0201978i \(-0.00642959\pi\)
\(84\) 8.49801 0.342458i 0.927209 0.0373652i
\(85\) 11.0378 0.444806i 1.19721 0.0482460i
\(86\) 0.221583 0.898998i 0.0238939 0.0969414i
\(87\) 3.77383 + 1.25989i 0.404597 + 0.135074i
\(88\) −0.326761 0.688634i −0.0348328 0.0734086i
\(89\) −12.4332 7.17831i −1.31792 0.760899i −0.334523 0.942388i \(-0.608575\pi\)
−0.983393 + 0.181488i \(0.941909\pi\)
\(90\) −0.508867 0.737222i −0.0536393 0.0777100i
\(91\) 14.5748 5.85638i 1.52786 0.613915i
\(92\) −6.09155 + 8.82513i −0.635088 + 0.920083i
\(93\) 7.06086 3.35042i 0.732177 0.347422i
\(94\) 0.258754 0.163626i 0.0266884 0.0168767i
\(95\) −24.9294 + 4.05141i −2.55770 + 0.415666i
\(96\) 1.17996 2.24823i 0.120429 0.229459i
\(97\) −13.8277 11.2900i −1.40399 1.14632i −0.969339 0.245726i \(-0.920974\pi\)
−0.434652 0.900598i \(-0.643129\pi\)
\(98\) 1.88764 1.81310i 0.190681 0.183151i
\(99\) 0.882640i 0.0887087i
\(100\) −15.9682 16.6246i −1.59682 1.66246i
\(101\) 15.4034 5.14241i 1.53270 0.511689i 0.579741 0.814801i \(-0.303154\pi\)
0.952955 + 0.303111i \(0.0980254\pi\)
\(102\) 0.0473753 + 0.586849i 0.00469086 + 0.0581067i
\(103\) 10.2907 2.53644i 1.01398 0.249923i 0.302888 0.953026i \(-0.402049\pi\)
0.711088 + 0.703103i \(0.248203\pi\)
\(104\) 0.439204 3.08253i 0.0430675 0.302267i
\(105\) 17.3411 + 4.27420i 1.69232 + 0.417120i
\(106\) 0.126847 0.780522i 0.0123205 0.0758110i
\(107\) −6.98643 8.55682i −0.675403 0.827219i 0.317234 0.948347i \(-0.397246\pi\)
−0.992637 + 0.121129i \(0.961349\pi\)
\(108\) −1.56072 + 1.17280i −0.150180 + 0.112853i
\(109\) 4.33164 4.88941i 0.414896 0.468320i −0.503493 0.863999i \(-0.667952\pi\)
0.918389 + 0.395679i \(0.129491\pi\)
\(110\) −0.126831 0.780422i −0.0120929 0.0744104i
\(111\) −0.111797 + 1.38485i −0.0106113 + 0.131445i
\(112\) 3.87399 + 15.7174i 0.366058 + 1.48515i
\(113\) 3.79442 + 13.0999i 0.356949 + 1.23233i 0.915316 + 0.402737i \(0.131941\pi\)
−0.558367 + 0.829594i \(0.688572\pi\)
\(114\) −0.269253 1.31889i −0.0252179 0.123525i
\(115\) −17.4431 + 14.2419i −1.62658 + 1.32806i
\(116\) −0.936233 + 7.71058i −0.0869271 + 0.715909i
\(117\) −1.98970 + 3.00684i −0.183948 + 0.277982i
\(118\) 0.229353 + 1.88889i 0.0211137 + 0.173887i
\(119\) −8.46587 8.13157i −0.776065 0.745420i
\(120\) 2.45252 2.55334i 0.223883 0.233087i
\(121\) 4.38164 9.23412i 0.398331 0.839465i
\(122\) −2.22987 + 1.53917i −0.201883 + 0.139350i
\(123\) −4.52961 + 7.16300i −0.408421 + 0.645866i
\(124\) 9.16596 + 12.1977i 0.823128 + 1.09538i
\(125\) −12.9698 24.7119i −1.16006 2.21030i
\(126\) −0.190403 + 0.932655i −0.0169624 + 0.0830875i
\(127\) −0.0175567 + 0.00141732i −0.00155790 + 0.000125767i −0.0812455 0.996694i \(-0.525890\pi\)
0.0796876 + 0.996820i \(0.474608\pi\)
\(128\) 6.32091 + 1.83088i 0.558695 + 0.161828i
\(129\) −3.75213 1.96927i −0.330356 0.173384i
\(130\) 1.32721 2.94453i 0.116404 0.258252i
\(131\) 10.1399 5.32185i 0.885931 0.464972i 0.0405754 0.999176i \(-0.487081\pi\)
0.845356 + 0.534204i \(0.179389\pi\)
\(132\) −1.68832 + 0.344672i −0.146949 + 0.0299999i
\(133\) 21.4556 + 16.1228i 1.86043 + 1.39803i
\(134\) −0.0145346 0.360673i −0.00125560 0.0311574i
\(135\) −3.83328 + 1.45377i −0.329916 + 0.125121i
\(136\) −2.23505 + 0.647391i −0.191654 + 0.0555133i
\(137\) −10.0156 2.04469i −0.855688 0.174690i −0.247896 0.968787i \(-0.579739\pi\)
−0.607792 + 0.794097i \(0.707944\pi\)
\(138\) −0.795869 0.898351i −0.0677489 0.0764727i
\(139\) −1.50720 + 1.84598i −0.127839 + 0.156574i −0.834558 0.550920i \(-0.814277\pi\)
0.706719 + 0.707494i \(0.250174\pi\)
\(140\) −1.40397 + 34.8392i −0.118657 + 2.94445i
\(141\) −0.443692 1.32902i −0.0373656 0.111924i
\(142\) −0.587164 + 0.520182i −0.0492737 + 0.0436527i
\(143\) −2.72436 + 1.64485i −0.227823 + 0.137550i
\(144\) −2.78133 2.46405i −0.231778 0.205337i
\(145\) −6.39335 + 15.0057i −0.530939 + 1.24616i
\(146\) 0.914923 1.58469i 0.0757196 0.131150i
\(147\) −5.98932 10.3738i −0.493991 0.855617i
\(148\) −2.69261 + 0.326942i −0.221331 + 0.0268745i
\(149\) −13.7821 6.53968i −1.12907 0.535751i −0.229842 0.973228i \(-0.573821\pi\)
−0.899230 + 0.437477i \(0.855872\pi\)
\(150\) 2.23431 1.28998i 0.182431 0.105326i
\(151\) 3.56037 + 2.45754i 0.289739 + 0.199992i 0.704064 0.710137i \(-0.251367\pi\)
−0.414325 + 0.910129i \(0.635982\pi\)
\(152\) 4.89439 2.08530i 0.396987 0.169141i
\(153\) 2.65963 + 0.432232i 0.215018 + 0.0349439i
\(154\) −0.504730 + 0.671674i −0.0406723 + 0.0541251i
\(155\) 11.3619 + 29.9588i 0.912606 + 2.40635i
\(156\) −6.52847 2.63173i −0.522696 0.210707i
\(157\) 0.993322 2.61917i 0.0792757 0.209033i −0.889519 0.456899i \(-0.848960\pi\)
0.968794 + 0.247866i \(0.0797293\pi\)
\(158\) 0.224399 + 0.354858i 0.0178522 + 0.0282310i
\(159\) −3.32942 1.41853i −0.264040 0.112497i
\(160\) 8.79792 + 5.56346i 0.695536 + 0.439830i
\(161\) 23.7546 + 2.88433i 1.87212 + 0.227317i
\(162\) −0.0856454 0.201017i −0.00672894 0.0157934i
\(163\) 0.677858 2.03043i 0.0530940 0.159036i −0.918650 0.395071i \(-0.870720\pi\)
0.971744 + 0.236035i \(0.0758481\pi\)
\(164\) −15.4702 5.86708i −1.20802 0.458142i
\(165\) −3.60682 0.291173i −0.280791 0.0226678i
\(166\) −0.286750 + 0.989975i −0.0222561 + 0.0768370i
\(167\) 8.66553 + 0.349209i 0.670559 + 0.0270226i 0.373211 0.927747i \(-0.378257\pi\)
0.297348 + 0.954769i \(0.403898\pi\)
\(168\) −3.76212 −0.290254
\(169\) −12.9889 0.538002i −0.999143 0.0413848i
\(170\) −2.41373 −0.185125
\(171\) −6.15556 0.248061i −0.470728 0.0189697i
\(172\) 2.30161 7.94608i 0.175496 0.605883i
\(173\) −5.06059 0.408533i −0.384750 0.0310602i −0.113421 0.993547i \(-0.536181\pi\)
−0.271328 + 0.962487i \(0.587463\pi\)
\(174\) −0.812835 0.308268i −0.0616208 0.0233697i
\(175\) −16.2890 + 48.7915i −1.23133 + 3.68829i
\(176\) −1.28555 3.01729i −0.0969017 0.227437i
\(177\) 8.64475 + 1.04966i 0.649779 + 0.0788975i
\(178\) 2.65132 + 1.67659i 0.198725 + 0.125666i
\(179\) 21.6362 + 9.21831i 1.61716 + 0.689009i 0.995543 0.0943107i \(-0.0300647\pi\)
0.621620 + 0.783319i \(0.286475\pi\)
\(180\) −4.27768 6.76461i −0.318840 0.504205i
\(181\) 0.0278091 0.0733266i 0.00206703 0.00545032i −0.933979 0.357329i \(-0.883688\pi\)
0.936046 + 0.351878i \(0.114457\pi\)
\(182\) −3.23357 + 1.15036i −0.239688 + 0.0852703i
\(183\) 4.39722 + 11.5945i 0.325052 + 0.857091i
\(184\) 2.84958 3.79211i 0.210074 0.279558i
\(185\) −5.62219 0.913695i −0.413352 0.0671762i
\(186\) −1.57104 + 0.669356i −0.115194 + 0.0490796i
\(187\) 1.95730 + 1.35102i 0.143132 + 0.0987967i
\(188\) 2.36889 1.36768i 0.172769 0.0997483i
\(189\) 3.93583 + 1.86758i 0.286290 + 0.135846i
\(190\) 5.47834 0.665191i 0.397440 0.0482580i
\(191\) −5.35993 9.28368i −0.387831 0.671743i 0.604326 0.796737i \(-0.293442\pi\)
−0.992158 + 0.124994i \(0.960109\pi\)
\(192\) 3.43843 5.95553i 0.248147 0.429803i
\(193\) 7.66329 17.9864i 0.551616 1.29469i −0.377879 0.925855i \(-0.623347\pi\)
0.929495 0.368835i \(-0.120243\pi\)
\(194\) 2.91960 + 2.58654i 0.209615 + 0.185703i
\(195\) −11.6308 9.12264i −0.832897 0.653286i
\(196\) 17.5042 15.5074i 1.25030 1.10767i
\(197\) 3.27059 + 9.79660i 0.233020 + 0.697979i 0.998512 + 0.0545340i \(0.0173673\pi\)
−0.765492 + 0.643445i \(0.777504\pi\)
\(198\) 0.00776563 0.192702i 0.000551879 0.0136947i
\(199\) 14.1191 17.2928i 1.00088 1.22585i 0.0268012 0.999641i \(-0.491468\pi\)
0.974078 0.226213i \(-0.0726347\pi\)
\(200\) 6.76164 + 7.63232i 0.478120 + 0.539686i
\(201\) −1.61862 0.330443i −0.114168 0.0233077i
\(202\) −3.40819 + 0.987194i −0.239799 + 0.0694587i
\(203\) 16.2061 6.14618i 1.13745 0.431377i
\(204\) 0.211815 + 5.25613i 0.0148300 + 0.368003i
\(205\) −27.7766 20.8728i −1.94000 1.45782i
\(206\) −2.26904 + 0.463227i −0.158091 + 0.0322746i
\(207\) −4.86362 + 2.55263i −0.338045 + 0.177420i
\(208\) 2.42236 13.1768i 0.167960 0.913645i
\(209\) −4.81472 2.52696i −0.333041 0.174793i
\(210\) −3.74839 1.08573i −0.258663 0.0749228i
\(211\) −12.2850 + 0.991749i −0.845735 + 0.0682748i −0.495734 0.868474i \(-0.665101\pi\)
−0.350001 + 0.936749i \(0.613819\pi\)
\(212\) 1.41323 6.92247i 0.0970612 0.475437i
\(213\) 1.66840 + 3.17888i 0.114317 + 0.217813i
\(214\) 1.45002 + 1.92963i 0.0991216 + 0.131907i
\(215\) 9.28500 14.6831i 0.633232 1.00138i
\(216\) 0.710709 0.490567i 0.0483576 0.0333788i
\(217\) 14.5959 30.7602i 0.990836 2.08814i
\(218\) −0.988721 + 1.02937i −0.0669646 + 0.0697176i
\(219\) −6.03972 5.80123i −0.408126 0.392011i
\(220\) −0.851513 7.01284i −0.0574090 0.472806i
\(221\) 3.62225 + 9.01472i 0.243659 + 0.606395i
\(222\) 0.0365922 0.301364i 0.00245591 0.0202262i
\(223\) −8.73140 + 7.12897i −0.584698 + 0.477391i −0.878021 0.478622i \(-0.841136\pi\)
0.293323 + 0.956013i \(0.405239\pi\)
\(224\) −2.21254 10.8378i −0.147832 0.724128i
\(225\) −3.28505 11.3413i −0.219004 0.756088i
\(226\) −0.713160 2.89341i −0.0474387 0.192466i
\(227\) −0.808581 + 10.0161i −0.0536674 + 0.664790i 0.912868 + 0.408256i \(0.133863\pi\)
−0.966535 + 0.256534i \(0.917419\pi\)
\(228\) −1.92927 11.8712i −0.127769 0.786193i
\(229\) −4.66898 + 5.27018i −0.308535 + 0.348264i −0.882242 0.470797i \(-0.843966\pi\)
0.573707 + 0.819061i \(0.305505\pi\)
\(230\) 3.93357 2.95589i 0.259372 0.194905i
\(231\) 2.43186 + 2.97849i 0.160005 + 0.195970i
\(232\) 0.551141 3.39131i 0.0361842 0.222650i
\(233\) 0.808998 + 0.199400i 0.0529993 + 0.0130631i 0.265726 0.964049i \(-0.414388\pi\)
−0.212727 + 0.977112i \(0.568234\pi\)
\(234\) 0.460856 0.638961i 0.0301271 0.0417702i
\(235\) 5.57728 1.37467i 0.363821 0.0896739i
\(236\) 1.36799 + 16.9456i 0.0890486 + 1.10306i
\(237\) 1.82263 0.608485i 0.118393 0.0395253i
\(238\) 1.77676 + 1.84981i 0.115171 + 0.119905i
\(239\) 4.23266i 0.273788i 0.990586 + 0.136894i \(0.0437119\pi\)
−0.990586 + 0.136894i \(0.956288\pi\)
\(240\) 10.9866 10.5528i 0.709182 0.681179i
\(241\) −13.5604 11.0717i −0.873503 0.713193i 0.0855761 0.996332i \(-0.472727\pi\)
−0.959079 + 0.283139i \(0.908624\pi\)
\(242\) −1.03786 + 1.97749i −0.0667164 + 0.127118i
\(243\) −0.987050 + 0.160411i −0.0633193 + 0.0102904i
\(244\) −20.4609 + 12.9387i −1.30987 + 0.828314i
\(245\) 44.3673 21.0526i 2.83452 1.34500i
\(246\) 1.05195 1.52401i 0.0670696 0.0971671i
\(247\) −10.7056 19.4621i −0.681181 1.23834i
\(248\) −3.83399 5.55450i −0.243459 0.352711i
\(249\) 4.08502 + 2.35849i 0.258878 + 0.149463i
\(250\) 2.61421 + 5.50933i 0.165337 + 0.348441i
\(251\) 5.72230 + 1.91039i 0.361189 + 0.120582i 0.491470 0.870895i \(-0.336460\pi\)
−0.130281 + 0.991477i \(0.541588\pi\)
\(252\) −2.03536 + 8.25777i −0.128215 + 0.520190i
\(253\) −4.84422 + 0.195216i −0.304554 + 0.0122731i
\(254\) 0.00384552 0.000154969i 0.000241290 9.72364e-6i
\(255\) −2.64365 + 10.7257i −0.165552 + 0.671671i
\(256\) 11.6820 + 3.90002i 0.730124 + 0.243751i
\(257\) 3.97914 + 8.38586i 0.248212 + 0.523096i 0.988869 0.148787i \(-0.0475370\pi\)
−0.740657 + 0.671883i \(0.765486\pi\)
\(258\) 0.801855 + 0.462951i 0.0499213 + 0.0288221i
\(259\) 3.43831 + 4.98125i 0.213646 + 0.309520i
\(260\) 12.9080 25.8098i 0.800519 1.60066i
\(261\) −2.26009 + 3.27431i −0.139896 + 0.202674i
\(262\) −2.26062 + 1.07268i −0.139662 + 0.0662703i
\(263\) 5.87779 3.71689i 0.362440 0.229193i −0.340816 0.940130i \(-0.610703\pi\)
0.703256 + 0.710937i \(0.251729\pi\)
\(264\) 0.752356 0.122270i 0.0463043 0.00752518i
\(265\) 6.89504 13.1374i 0.423559 0.807024i
\(266\) −4.54243 3.70878i −0.278514 0.227400i
\(267\) 10.3540 9.94518i 0.633656 0.608635i
\(268\) 3.22514i 0.197006i
\(269\) 15.0217 + 15.6393i 0.915890 + 0.953543i 0.999075 0.0429915i \(-0.0136888\pi\)
−0.0831853 + 0.996534i \(0.526509\pi\)
\(270\) 0.849690 0.283668i 0.0517105 0.0172635i
\(271\) −1.30141 16.1208i −0.0790549 0.979271i −0.907734 0.419547i \(-0.862189\pi\)
0.828679 0.559724i \(-0.189093\pi\)
\(272\) −9.72142 + 2.39611i −0.589448 + 0.145286i
\(273\) 1.57019 + 15.6287i 0.0950322 + 0.945893i
\(274\) 2.16866 + 0.534526i 0.131013 + 0.0322919i
\(275\) 1.67177 10.2868i 0.100812 0.620318i
\(276\) −6.78192 8.30635i −0.408224 0.499983i
\(277\) −4.08198 + 3.06741i −0.245262 + 0.184303i −0.716263 0.697830i \(-0.754149\pi\)
0.471001 + 0.882133i \(0.343893\pi\)
\(278\) 0.345300 0.389763i 0.0207097 0.0233764i
\(279\) 1.25368 + 7.71422i 0.0750561 + 0.461839i
\(280\) 1.24108 15.3735i 0.0741687 0.918745i
\(281\) 6.04370 + 24.5203i 0.360537 + 1.46276i 0.818872 + 0.573977i \(0.194600\pi\)
−0.458334 + 0.888780i \(0.651554\pi\)
\(282\) 0.0851759 + 0.294061i 0.00507215 + 0.0175111i
\(283\) 0.522041 + 2.55713i 0.0310321 + 0.152005i 0.992354 0.123420i \(-0.0393863\pi\)
−0.961322 + 0.275426i \(0.911181\pi\)
\(284\) −5.42905 + 4.43268i −0.322155 + 0.263031i
\(285\) 3.04433 25.0723i 0.180330 1.48515i
\(286\) 0.609267 0.335143i 0.0360267 0.0198174i
\(287\) 4.45033 + 36.6518i 0.262695 + 2.16349i
\(288\) 1.83118 + 1.75887i 0.107903 + 0.103643i
\(289\) −6.74683 + 7.02419i −0.396872 + 0.413188i
\(290\) 1.52785 3.21987i 0.0897184 0.189078i
\(291\) 14.6913 10.1407i 0.861222 0.594458i
\(292\) 8.73809 13.8182i 0.511358 0.808648i
\(293\) −13.1161 17.4544i −0.766251 1.01970i −0.998889 0.0471318i \(-0.984992\pi\)
0.232637 0.972564i \(-0.425265\pi\)
\(294\) 1.21635 + 2.31755i 0.0709387 + 0.135162i
\(295\) −7.14115 + 34.9797i −0.415774 + 2.03659i
\(296\) 1.19593 0.0965451i 0.0695118 0.00561157i
\(297\) −0.847792 0.245566i −0.0491939 0.0142492i
\(298\) 2.95143 + 1.54903i 0.170972 + 0.0897329i
\(299\) −16.9426 10.2551i −0.979816 0.593069i
\(300\) 20.4109 10.7125i 1.17842 0.618484i
\(301\) −18.0874 + 3.69257i −1.04254 + 0.212836i
\(302\) −0.755694 0.567867i −0.0434853 0.0326771i
\(303\) 0.653884 + 16.2260i 0.0375646 + 0.932157i
\(304\) 21.4040 8.11745i 1.22760 0.465568i
\(305\) −48.8304 + 14.1439i −2.79602 + 0.809877i
\(306\) −0.576860 0.117767i −0.0329769 0.00673228i
\(307\) 5.46691 + 6.17087i 0.312013 + 0.352190i 0.883508 0.468415i \(-0.155175\pi\)
−0.571495 + 0.820605i \(0.693636\pi\)
\(308\) −4.74762 + 5.81478i −0.270521 + 0.331328i
\(309\) −0.426767 + 10.5901i −0.0242779 + 0.602451i
\(310\) −2.21699 6.64070i −0.125917 0.377166i
\(311\) −15.0507 + 13.3338i −0.853450 + 0.756090i −0.971531 0.236913i \(-0.923864\pi\)
0.118081 + 0.993004i \(0.462326\pi\)
\(312\) 2.83864 + 1.27948i 0.160706 + 0.0724362i
\(313\) 20.5445 + 18.2008i 1.16124 + 1.02877i 0.999118 + 0.0420012i \(0.0133733\pi\)
0.162125 + 0.986770i \(0.448165\pi\)
\(314\) −0.239911 + 0.563091i −0.0135389 + 0.0317771i
\(315\) −8.93005 + 15.4673i −0.503152 + 0.871484i
\(316\) 1.87565 + 3.24873i 0.105514 + 0.182755i
\(317\) 20.3546 2.47149i 1.14323 0.138813i 0.473065 0.881027i \(-0.343148\pi\)
0.670162 + 0.742215i \(0.266224\pi\)
\(318\) 0.714414 + 0.338994i 0.0400624 + 0.0190098i
\(319\) −3.04118 + 1.75583i −0.170273 + 0.0983074i
\(320\) 23.2024 + 16.0154i 1.29705 + 0.895291i
\(321\) 10.1627 4.32993i 0.567228 0.241673i
\(322\) −5.16083 0.838717i −0.287602 0.0467399i
\(323\) −9.97218 + 13.2706i −0.554867 + 0.738394i
\(324\) −0.692280 1.82539i −0.0384600 0.101411i
\(325\) 28.8843 31.2749i 1.60221 1.73482i
\(326\) −0.165857 + 0.437330i −0.00918599 + 0.0242215i
\(327\) 3.49123 + 5.52094i 0.193065 + 0.305308i
\(328\) 6.73316 + 2.86873i 0.371777 + 0.158399i
\(329\) −5.15898 3.26234i −0.284424 0.179859i
\(330\) 0.784896 + 0.0953037i 0.0432071 + 0.00524629i
\(331\) −5.41469 12.7088i −0.297619 0.698536i 0.702292 0.711889i \(-0.252160\pi\)
−0.999911 + 0.0133523i \(0.995750\pi\)
\(332\) −2.91612 + 8.73484i −0.160043 + 0.479386i
\(333\) −1.29907 0.492674i −0.0711888 0.0269984i
\(334\) −1.88883 0.152482i −0.103352 0.00834344i
\(335\) 1.88429 6.50531i 0.102950 0.355423i
\(336\) −16.1747 0.651816i −0.882400 0.0355595i
\(337\) 30.6392 1.66902 0.834511 0.550991i \(-0.185750\pi\)
0.834511 + 0.550991i \(0.185750\pi\)
\(338\) 2.83106 + 0.231737i 0.153989 + 0.0126049i
\(339\) −13.6383 −0.740732
\(340\) −21.5485 0.868377i −1.16863 0.0470943i
\(341\) −1.91920 + 6.62586i −0.103931 + 0.358810i
\(342\) 1.34173 + 0.108316i 0.0725524 + 0.00585703i
\(343\) −20.2797 7.69108i −1.09500 0.415280i
\(344\) −1.15882 + 3.47108i −0.0624792 + 0.187148i
\(345\) −8.82660 20.7168i −0.475208 1.11535i
\(346\) 1.10126 + 0.133717i 0.0592039 + 0.00718866i
\(347\) −14.2286 8.99762i −0.763831 0.483017i 0.0948730 0.995489i \(-0.469756\pi\)
−0.858704 + 0.512472i \(0.828730\pi\)
\(348\) −7.14567 3.04449i −0.383048 0.163202i
\(349\) −13.1533 20.8003i −0.704081 1.11341i −0.987983 0.154561i \(-0.950604\pi\)
0.283903 0.958853i \(-0.408371\pi\)
\(350\) 3.98557 10.5091i 0.213038 0.561734i
\(351\) −2.33455 2.74770i −0.124609 0.146661i
\(352\) 0.794698 + 2.09545i 0.0423576 + 0.111688i
\(353\) 18.8122 25.0345i 1.00127 1.33245i 0.0587620 0.998272i \(-0.481285\pi\)
0.942510 0.334179i \(-0.108459\pi\)
\(354\) −1.87813 0.305225i −0.0998213 0.0162225i
\(355\) −13.5405 + 5.76909i −0.718658 + 0.306191i
\(356\) 23.0664 + 15.9216i 1.22252 + 0.843844i
\(357\) 10.1659 5.86927i 0.538035 0.310635i
\(358\) −4.64260 2.20294i −0.245369 0.116429i
\(359\) −25.6427 + 3.11359i −1.35337 + 0.164329i −0.764879 0.644175i \(-0.777201\pi\)
−0.588492 + 0.808503i \(0.700278\pi\)
\(360\) 1.77020 + 3.06607i 0.0932976 + 0.161596i
\(361\) 9.47625 16.4133i 0.498750 0.863860i
\(362\) −0.00671655 + 0.0157643i −0.000353014 + 0.000828555i
\(363\) 7.65049 + 6.77774i 0.401546 + 0.355739i
\(364\) −29.2815 + 9.10650i −1.53477 + 0.477310i
\(365\) 25.6986 22.7670i 1.34512 1.19168i
\(366\) −0.858010 2.57005i −0.0448489 0.134339i
\(367\) 0.650452 16.1408i 0.0339533 0.842543i −0.889064 0.457784i \(-0.848643\pi\)
0.923017 0.384759i \(-0.125716\pi\)
\(368\) 12.9083 15.8099i 0.672894 0.824146i
\(369\) −5.61998 6.34364i −0.292564 0.330237i
\(370\) 1.21942 + 0.248947i 0.0633948 + 0.0129421i
\(371\) −15.1436 + 4.38639i −0.786216 + 0.227730i
\(372\) −14.2662 + 5.41047i −0.739669 + 0.280520i
\(373\) −0.177489 4.40434i −0.00919003 0.228048i −0.997257 0.0740212i \(-0.976417\pi\)
0.988067 0.154027i \(-0.0492243\pi\)
\(374\) −0.415440 0.312183i −0.0214819 0.0161426i
\(375\) 27.3447 5.58246i 1.41207 0.288277i
\(376\) −1.07138 + 0.562305i −0.0552523 + 0.0289987i
\(377\) −14.3183 0.874144i −0.737430 0.0450207i
\(378\) −0.842858 0.442366i −0.0433520 0.0227529i
\(379\) −2.44264 0.707518i −0.125470 0.0363428i 0.214889 0.976639i \(-0.431061\pi\)
−0.340358 + 0.940296i \(0.610548\pi\)
\(380\) 49.1471 3.96757i 2.52119 0.203532i
\(381\) 0.00352321 0.0172578i 0.000180499 0.000884145i
\(382\) 1.08853 + 2.07401i 0.0556938 + 0.106116i
\(383\) −0.0566584 0.0753987i −0.00289511 0.00385269i 0.797993 0.602667i \(-0.205895\pi\)
−0.800888 + 0.598814i \(0.795639\pi\)
\(384\) −3.51718 + 5.56197i −0.179485 + 0.283833i
\(385\) −12.9736 + 8.95500i −0.661194 + 0.456389i
\(386\) −1.83133 + 3.85945i −0.0932124 + 0.196441i
\(387\) 2.93542 3.05610i 0.149216 0.155350i
\(388\) 25.1342 + 24.1417i 1.27599 + 1.22561i
\(389\) 4.54006 + 37.3907i 0.230190 + 1.89579i 0.410001 + 0.912085i \(0.365528\pi\)
−0.179811 + 0.983701i \(0.557549\pi\)
\(390\) 2.45902 + 2.09403i 0.124517 + 0.106035i
\(391\) −1.78400 + 14.6925i −0.0902205 + 0.743033i
\(392\) −8.01287 + 6.54230i −0.404711 + 0.330436i
\(393\) 2.29063 + 11.2202i 0.115547 + 0.565986i
\(394\) −0.627858 2.16762i −0.0316310 0.109203i
\(395\) 1.88525 + 7.64875i 0.0948571 + 0.384850i
\(396\) 0.138655 1.71755i 0.00696769 0.0863103i
\(397\) −4.41777 27.1836i −0.221721 1.36431i −0.824258 0.566215i \(-0.808407\pi\)
0.602536 0.798091i \(-0.294157\pi\)
\(398\) −3.23470 + 3.65122i −0.162141 + 0.183019i
\(399\) −21.4556 + 16.1228i −1.07412 + 0.807150i
\(400\) 27.7483 + 33.9855i 1.38741 + 1.69927i
\(401\) 2.40001 14.7679i 0.119851 0.737472i −0.855663 0.517534i \(-0.826850\pi\)
0.975514 0.219938i \(-0.0705857\pi\)
\(402\) 0.350477 + 0.0863848i 0.0174802 + 0.00430848i
\(403\) −21.4745 + 18.2455i −1.06972 + 0.908876i
\(404\) −30.7817 + 7.58701i −1.53145 + 0.377468i
\(405\) −0.329888 4.08640i −0.0163923 0.203055i
\(406\) −3.59227 + 1.19928i −0.178282 + 0.0595191i
\(407\) −0.849491 0.884414i −0.0421077 0.0438388i
\(408\) 2.32692i 0.115200i
\(409\) −11.7984 + 11.3326i −0.583396 + 0.560359i −0.925233 0.379400i \(-0.876130\pi\)
0.341837 + 0.939759i \(0.388951\pi\)
\(410\) 5.88068 + 4.80143i 0.290426 + 0.237126i
\(411\) 4.75047 9.05127i 0.234323 0.446466i
\(412\) −20.4235 + 3.31913i −1.00619 + 0.163522i
\(413\) 32.0640 20.2760i 1.57777 0.997719i
\(414\) 1.08431 0.514510i 0.0532908 0.0252868i
\(415\) −10.9853 + 15.9150i −0.539249 + 0.781237i
\(416\) −2.01643 + 8.92990i −0.0988638 + 0.437824i
\(417\) −1.35377 1.96128i −0.0662945 0.0960441i
\(418\) 1.02894 + 0.594058i 0.0503271 + 0.0290563i
\(419\) 0.925596 + 1.95065i 0.0452183 + 0.0952956i 0.924802 0.380448i \(-0.124230\pi\)
−0.879584 + 0.475744i \(0.842179\pi\)
\(420\) −33.0731 11.0414i −1.61380 0.538767i
\(421\) 2.14039 8.68392i 0.104316 0.423228i −0.895443 0.445177i \(-0.853141\pi\)
0.999759 + 0.0219484i \(0.00698696\pi\)
\(422\) 2.69085 0.108437i 0.130988 0.00527865i
\(423\) 1.39999 0.0564177i 0.0680698 0.00274312i
\(424\) −0.747932 + 3.03448i −0.0363228 + 0.147367i
\(425\) −30.1782 10.0750i −1.46386 0.488708i
\(426\) −0.336285 0.708706i −0.0162931 0.0343369i
\(427\) 46.7839 + 27.0107i 2.26403 + 1.30714i
\(428\) 12.2509 + 17.7484i 0.592168 + 0.857903i
\(429\) −0.821946 3.07443i −0.0396839 0.148435i
\(430\) −2.15633 + 3.12398i −0.103987 + 0.150652i
\(431\) −12.5179 + 5.93981i −0.602966 + 0.286111i −0.705602 0.708608i \(-0.749323\pi\)
0.102637 + 0.994719i \(0.467272\pi\)
\(432\) 3.14058 1.98598i 0.151101 0.0955505i
\(433\) −7.33471 + 1.19201i −0.352484 + 0.0572842i −0.334075 0.942546i \(-0.608424\pi\)
−0.0184085 + 0.999831i \(0.505860\pi\)
\(434\) −3.45728 + 6.58730i −0.165955 + 0.316201i
\(435\) −12.6346 10.3158i −0.605780 0.494604i
\(436\) −9.19713 + 8.83396i −0.440463 + 0.423070i
\(437\) 33.8387i 1.61872i
\(438\) 1.26758 + 1.31969i 0.0605673 + 0.0630572i
\(439\) 4.86093 1.62282i 0.232000 0.0774528i −0.198291 0.980143i \(-0.563539\pi\)
0.430291 + 0.902690i \(0.358411\pi\)
\(440\) 0.251450 + 3.11476i 0.0119874 + 0.148491i
\(441\) 11.6306 2.86668i 0.553836 0.136508i
\(442\) −0.711513 2.00000i −0.0338432 0.0951305i
\(443\) −21.1013 5.20101i −1.00255 0.247107i −0.296322 0.955088i \(-0.595760\pi\)
−0.706232 + 0.707981i \(0.749606\pi\)
\(444\) 0.435097 2.67726i 0.0206488 0.127057i
\(445\) 37.2243 + 45.5915i 1.76460 + 2.16125i
\(446\) 1.96900 1.47961i 0.0932349 0.0700615i
\(447\) 10.1159 11.4185i 0.478465 0.540076i
\(448\) −4.80570 29.5707i −0.227048 1.39708i
\(449\) −1.70774 + 21.1542i −0.0805932 + 0.998326i 0.822467 + 0.568813i \(0.192597\pi\)
−0.903060 + 0.429514i \(0.858685\pi\)
\(450\) 0.617425 + 2.50499i 0.0291057 + 0.118086i
\(451\) −2.08118 7.18505i −0.0979987 0.338331i
\(452\) −5.32579 26.0874i −0.250504 1.22705i
\(453\) −3.35107 + 2.73607i −0.157447 + 0.128552i
\(454\) 0.264656 2.17964i 0.0124209 0.102296i
\(455\) −64.3832 + 1.26069i −3.01833 + 0.0591020i
\(456\) 0.641268 + 5.28132i 0.0300301 + 0.247320i
\(457\) 2.12573 + 2.04179i 0.0994373 + 0.0955108i 0.740795 0.671731i \(-0.234449\pi\)
−0.641358 + 0.767242i \(0.721628\pi\)
\(458\) 1.06572 1.10953i 0.0497979 0.0518451i
\(459\) −1.15512 + 2.43437i −0.0539164 + 0.113627i
\(460\) 36.1803 24.9735i 1.68692 1.16440i
\(461\) −3.31300 + 5.23909i −0.154302 + 0.244009i −0.913489 0.406864i \(-0.866622\pi\)
0.759187 + 0.650872i \(0.225597\pi\)
\(462\) −0.504730 0.671674i −0.0234822 0.0312491i
\(463\) 12.3270 + 23.4871i 0.572884 + 1.09154i 0.983699 + 0.179820i \(0.0575517\pi\)
−0.410816 + 0.911718i \(0.634756\pi\)
\(464\) 2.95712 14.4849i 0.137281 0.672445i
\(465\) −31.9370 + 2.57822i −1.48104 + 0.119562i
\(466\) −0.174870 0.0506517i −0.00810069 0.00234639i
\(467\) −14.9977 7.87140i −0.694011 0.364245i 0.0805444 0.996751i \(-0.474334\pi\)
−0.774556 + 0.632506i \(0.782026\pi\)
\(468\) 4.34416 5.53852i 0.200809 0.256018i
\(469\) −6.37251 + 3.34455i −0.294255 + 0.154437i
\(470\) −1.22975 + 0.251056i −0.0567242 + 0.0115803i
\(471\) 2.23941 + 1.68280i 0.103186 + 0.0775395i
\(472\) −0.302809 7.51413i −0.0139379 0.345866i
\(473\) 3.49714 1.32629i 0.160799 0.0609829i
\(474\) −0.403280 + 0.116811i −0.0185232 + 0.00536532i
\(475\) 71.2708 + 14.5500i 3.27013 + 0.667601i
\(476\) 15.1965 + 17.1534i 0.696533 + 0.786223i
\(477\) 2.28883 2.80331i 0.104798 0.128355i
\(478\) 0.0372397 0.924093i 0.00170330 0.0422670i
\(479\) −10.1891 30.5200i −0.465551 1.39450i −0.875867 0.482552i \(-0.839710\pi\)
0.410316 0.911943i \(-0.365418\pi\)
\(480\) −7.79154 + 6.90270i −0.355634 + 0.315064i
\(481\) −0.900212 4.92786i −0.0410461 0.224691i
\(482\) 2.86316 + 2.53654i 0.130413 + 0.115536i
\(483\) −9.37939 + 22.0142i −0.426777 + 1.00168i
\(484\) −9.97696 + 17.2806i −0.453498 + 0.785482i
\(485\) 36.5925 + 63.3800i 1.66158 + 2.87794i
\(486\) 0.216909 0.0263375i 0.00983918 0.00119469i
\(487\) 21.5943 + 10.2466i 0.978533 + 0.464320i 0.849654 0.527340i \(-0.176811\pi\)
0.128879 + 0.991660i \(0.458862\pi\)
\(488\) 9.27393 5.35431i 0.419811 0.242378i
\(489\) 1.76168 + 1.21600i 0.0796658 + 0.0549893i
\(490\) −9.87171 + 4.20594i −0.445958 + 0.190005i
\(491\) −40.6965 6.61383i −1.83661 0.298478i −0.859486 0.511159i \(-0.829217\pi\)
−0.977122 + 0.212681i \(0.931781\pi\)
\(492\) 9.93953 13.2271i 0.448109 0.596324i
\(493\) 3.80149 + 10.0237i 0.171211 + 0.451445i
\(494\) 2.16606 + 4.34324i 0.0974559 + 0.195412i
\(495\) 1.28316 3.38341i 0.0576736 0.152073i
\(496\) −15.5213 24.5450i −0.696926 1.10210i
\(497\) 14.3886 + 6.13039i 0.645415 + 0.274986i
\(498\) −0.871110 0.550857i −0.0390354 0.0246845i
\(499\) −27.9188 3.38995i −1.24982 0.151755i −0.531251 0.847214i \(-0.678278\pi\)
−0.718566 + 0.695459i \(0.755201\pi\)
\(500\) 21.3563 + 50.1250i 0.955082 + 2.24166i
\(501\) −2.74632 + 8.22625i −0.122697 + 0.367522i
\(502\) −1.23251 0.467430i −0.0550097 0.0208624i
\(503\) 16.3402 + 1.31912i 0.728575 + 0.0588167i 0.439188 0.898395i \(-0.355266\pi\)
0.289388 + 0.957212i \(0.406548\pi\)
\(504\) 1.04669 3.61359i 0.0466232 0.160962i
\(505\) −66.5215 2.68072i −2.96017 0.119291i
\(506\) 1.05933 0.0470930
\(507\) 4.13049 12.3264i 0.183441 0.547433i
\(508\) 0.0343866 0.00152566
\(509\) 32.6023 + 1.31383i 1.44507 + 0.0582343i 0.750347 0.661044i \(-0.229886\pi\)
0.694722 + 0.719278i \(0.255527\pi\)
\(510\) 0.671541 2.31843i 0.0297364 0.102662i
\(511\) −36.3648 2.93567i −1.60868 0.129866i
\(512\) −14.8223 5.62137i −0.655061 0.248432i
\(513\) 1.95085 5.84352i 0.0861322 0.257998i
\(514\) −0.794964 1.86585i −0.0350644 0.0822991i
\(515\) −43.1347 5.23750i −1.90074 0.230792i
\(516\) 6.99200 + 4.42148i 0.307806 + 0.194645i
\(517\) 1.13773 + 0.484741i 0.0500373 + 0.0213189i
\(518\) −0.706842 1.11778i −0.0310568 0.0491125i
\(519\) 1.80035 4.74713i 0.0790265 0.208376i
\(520\) −6.16489 + 11.1777i −0.270348 + 0.490175i
\(521\) 4.30005 + 11.3383i 0.188388 + 0.496740i 0.995620 0.0934958i \(-0.0298042\pi\)
−0.807231 + 0.590235i \(0.799035\pi\)
\(522\) 0.522241 0.694977i 0.0228579 0.0304183i
\(523\) −32.7882 5.32860i −1.43373 0.233003i −0.606595 0.795011i \(-0.707465\pi\)
−0.827132 + 0.562007i \(0.810029\pi\)
\(524\) −20.5676 + 8.76304i −0.898500 + 0.382815i
\(525\) −42.3333 29.2206i −1.84758 1.27529i
\(526\) −1.31597 + 0.759774i −0.0573789 + 0.0331277i
\(527\) 19.0256 + 9.02777i 0.828769 + 0.393256i
\(528\) 3.25582 0.395328i 0.141691 0.0172044i
\(529\) −3.58536 6.21003i −0.155885 0.270001i
\(530\) −1.62094 + 2.80755i −0.0704092 + 0.121952i
\(531\) −3.41334 + 8.01141i −0.148126 + 0.347665i
\(532\) −39.2182 34.7443i −1.70032 1.50636i
\(533\) 9.10717 29.1684i 0.394475 1.26342i
\(534\) −2.34804 + 2.08018i −0.101610 + 0.0900182i
\(535\) 14.3413 + 42.9574i 0.620027 + 1.85721i
\(536\) −0.0574446 + 1.42547i −0.00248123 + 0.0615710i
\(537\) −14.8739 + 18.2172i −0.641856 + 0.786131i
\(538\) −3.14201 3.54660i −0.135462 0.152905i
\(539\) 10.3592 + 2.11484i 0.446200 + 0.0910925i
\(540\) 7.68766 2.22676i 0.330824 0.0958244i
\(541\) −5.53103 + 2.09764i −0.237798 + 0.0901848i −0.470625 0.882333i \(-0.655972\pi\)
0.232827 + 0.972518i \(0.425202\pi\)
\(542\) 0.142295 + 3.53102i 0.00611211 + 0.151671i
\(543\) 0.0626945 + 0.0471119i 0.00269048 + 0.00202176i
\(544\) 6.70330 1.36849i 0.287402 0.0586735i
\(545\) −23.7125 + 12.4453i −1.01573 + 0.533097i
\(546\) −0.205307 3.42595i −0.00878631 0.146617i
\(547\) −25.9486 13.6189i −1.10948 0.582301i −0.192527 0.981292i \(-0.561668\pi\)
−0.916955 + 0.398990i \(0.869361\pi\)
\(548\) 19.1684 + 5.55218i 0.818832 + 0.237177i
\(549\) −12.3601 + 0.997812i −0.527517 + 0.0425856i
\(550\) −0.455494 + 2.23116i −0.0194223 + 0.0951369i
\(551\) −11.3905 21.7028i −0.485251 0.924569i
\(552\) 2.84958 + 3.79211i 0.121286 + 0.161403i
\(553\) 4.47402 7.07510i 0.190255 0.300864i
\(554\) 0.918184 0.633776i 0.0390099 0.0269266i
\(555\) 2.44181 5.14601i 0.103649 0.218436i
\(556\) 3.22289 3.35538i 0.136681 0.142300i
\(557\) 10.9714 + 10.5382i 0.464873 + 0.446517i 0.888198 0.459461i \(-0.151958\pi\)
−0.423325 + 0.905978i \(0.639137\pi\)
\(558\) −0.205839 1.69524i −0.00871385 0.0717650i
\(559\) 14.9033 + 3.36527i 0.630343 + 0.142336i
\(560\) 7.99941 65.8811i 0.338037 2.78398i
\(561\) −1.84224 + 1.50414i −0.0777793 + 0.0635049i
\(562\) −1.10376 5.40655i −0.0465591 0.228062i
\(563\) 5.73034 + 19.7834i 0.241505 + 0.833771i 0.986086 + 0.166239i \(0.0531623\pi\)
−0.744581 + 0.667532i \(0.767351\pi\)
\(564\) 0.654614 + 2.65587i 0.0275642 + 0.111832i
\(565\) 4.49912 55.7317i 0.189280 2.34465i
\(566\) −0.0914764 0.562877i −0.00384504 0.0236595i
\(567\) −2.88886 + 3.26085i −0.121321 + 0.136943i
\(568\) 2.47853 1.86249i 0.103997 0.0781485i
\(569\) 2.79257 + 3.42028i 0.117071 + 0.143386i 0.829815 0.558038i \(-0.188446\pi\)
−0.712745 + 0.701424i \(0.752548\pi\)
\(570\) −0.885242 + 5.44711i −0.0370787 + 0.228154i
\(571\) 14.8376 + 3.65715i 0.620936 + 0.153047i 0.537219 0.843443i \(-0.319475\pi\)
0.0837166 + 0.996490i \(0.473321\pi\)
\(572\) 5.55980 2.77279i 0.232467 0.115936i
\(573\) 10.4084 2.56543i 0.434816 0.107172i
\(574\) −0.649148 8.04114i −0.0270949 0.335631i
\(575\) 61.5184 20.5379i 2.56549 0.856488i
\(576\) 4.76376 + 4.95960i 0.198490 + 0.206650i
\(577\) 13.9832i 0.582129i 0.956703 + 0.291064i \(0.0940094\pi\)
−0.956703 + 0.291064i \(0.905991\pi\)
\(578\) 1.53480 1.47419i 0.0638392 0.0613184i
\(579\) 15.1442 + 12.3649i 0.629372 + 0.513866i
\(580\) 14.7983 28.1957i 0.614465 1.17076i
\(581\) 20.2832 3.29633i 0.841487 0.136755i
\(582\) −3.29670 + 2.08471i −0.136653 + 0.0864139i
\(583\) 2.88588 1.36937i 0.119521 0.0567135i
\(584\) −4.10826 + 5.95184i −0.170001 + 0.246289i
\(585\) 11.9983 8.63349i 0.496071 0.356951i
\(586\) 2.71000 + 3.92612i 0.111949 + 0.162186i
\(587\) −26.8078 15.4775i −1.10648 0.638824i −0.168562 0.985691i \(-0.553912\pi\)
−0.937914 + 0.346867i \(0.887246\pi\)
\(588\) 10.0251 + 21.1275i 0.413430 + 0.871285i
\(589\) −45.6696 15.2468i −1.88178 0.628232i
\(590\) 1.86685 7.57409i 0.0768568 0.311820i
\(591\) −10.3198 + 0.415872i −0.424498 + 0.0171067i
\(592\) 5.15842 0.207877i 0.212010 0.00854371i
\(593\) −9.15941 + 37.1612i −0.376132 + 1.52603i 0.412383 + 0.911011i \(0.364697\pi\)
−0.788514 + 0.615016i \(0.789149\pi\)
\(594\) 0.182933 + 0.0610721i 0.00750585 + 0.00250582i
\(595\) 20.6306 + 43.4781i 0.845772 + 1.78243i
\(596\) 25.7916 + 14.8908i 1.05646 + 0.609950i
\(597\) 12.6819 + 18.3728i 0.519034 + 0.751950i
\(598\) 3.60876 + 2.38801i 0.147573 + 0.0976530i
\(599\) −11.7101 + 16.9651i −0.478463 + 0.693174i −0.985677 0.168647i \(-0.946060\pi\)
0.507213 + 0.861821i \(0.330676\pi\)
\(600\) −9.21219 + 4.37124i −0.376086 + 0.178455i
\(601\) 12.9403 8.18298i 0.527848 0.333791i −0.243816 0.969822i \(-0.578399\pi\)
0.771664 + 0.636031i \(0.219425\pi\)
\(602\) 3.98141 0.647043i 0.162270 0.0263715i
\(603\) 0.767724 1.46278i 0.0312641 0.0595689i
\(604\) −6.54215 5.34150i −0.266196 0.217343i
\(605\) −30.2204 + 29.0271i −1.22863 + 1.18012i
\(606\) 3.54828i 0.144139i
\(607\) 5.34929 + 5.56920i 0.217121 + 0.226047i 0.820852 0.571141i \(-0.193499\pi\)
−0.603731 + 0.797188i \(0.706320\pi\)
\(608\) −14.8371 + 4.95334i −0.601722 + 0.200884i
\(609\) 1.39468 + 17.2763i 0.0565155 + 0.700070i
\(610\) 10.7853 2.65834i 0.436685 0.107633i
\(611\) 2.78310 + 4.21608i 0.112592 + 0.170564i
\(612\) −5.10754 1.25890i −0.206460 0.0508878i
\(613\) 5.04450 31.0401i 0.203745 1.25370i −0.660577 0.750758i \(-0.729688\pi\)
0.864322 0.502938i \(-0.167748\pi\)
\(614\) −1.13927 1.39535i −0.0459771 0.0563118i
\(615\) 27.7766 20.8728i 1.12006 0.841672i
\(616\) 2.20196 2.48550i 0.0887197 0.100144i
\(617\) 3.79502 + 23.3517i 0.152782 + 0.940104i 0.944331 + 0.328998i \(0.106711\pi\)
−0.791549 + 0.611106i \(0.790725\pi\)
\(618\) 0.186348 2.30833i 0.00749600 0.0928546i
\(619\) 3.34759 + 13.5817i 0.134551 + 0.545895i 0.999063 + 0.0432827i \(0.0137816\pi\)
−0.864512 + 0.502613i \(0.832372\pi\)
\(620\) −17.4031 60.0824i −0.698924 2.41297i
\(621\) −1.09870 5.38178i −0.0440893 0.215963i
\(622\) 3.40326 2.77868i 0.136458 0.111415i
\(623\) 7.53883 62.0878i 0.302037 2.48750i
\(624\) 11.9826 + 5.99273i 0.479687 + 0.239901i
\(625\) 6.67528 + 54.9758i 0.267011 + 2.19903i
\(626\) −4.32523 4.15444i −0.172871 0.166045i
\(627\) 3.76673 3.92158i 0.150429 0.156613i
\(628\) −2.34438 + 4.94068i −0.0935510 + 0.197155i
\(629\) −3.08097 + 2.12664i −0.122846 + 0.0847947i
\(630\) 2.08574 3.29833i 0.0830977 0.131408i
\(631\) −1.29079 1.71773i −0.0513857 0.0683819i 0.773018 0.634384i \(-0.218746\pi\)
−0.824404 + 0.566002i \(0.808490\pi\)
\(632\) −0.771152 1.46931i −0.0306748 0.0584459i
\(633\) 2.46531 12.0759i 0.0979874 0.479974i
\(634\) −4.46565 + 0.360505i −0.177354 + 0.0143175i
\(635\) 0.0693601 + 0.0200904i 0.00275247 + 0.000797263i
\(636\) 6.25597 + 3.28339i 0.248065 + 0.130195i
\(637\) 30.5225 + 30.5567i 1.20935 + 1.21070i
\(638\) 0.679413 0.356583i 0.0268982 0.0141173i
\(639\) −3.51755 + 0.718112i −0.139152 + 0.0284081i
\(640\) −21.5682 16.2074i −0.852557 0.640655i
\(641\) 1.77484 + 44.0421i 0.0701019 + 1.73956i 0.526845 + 0.849961i \(0.323375\pi\)
−0.456743 + 0.889599i \(0.650984\pi\)
\(642\) −2.25687 + 0.855917i −0.0890715 + 0.0337804i
\(643\) 26.3962 7.64575i 1.04096 0.301519i 0.286652 0.958035i \(-0.407458\pi\)
0.754312 + 0.656516i \(0.227971\pi\)
\(644\) −45.7715 9.34433i −1.80365 0.368218i
\(645\) 11.5201 + 13.0035i 0.453603 + 0.512012i
\(646\) 2.29393 2.80955i 0.0902534 0.110540i
\(647\) −1.48510 + 36.8525i −0.0583854 + 1.44882i 0.659000 + 0.752143i \(0.270980\pi\)
−0.717385 + 0.696677i \(0.754661\pi\)
\(648\) 0.273467 + 0.819133i 0.0107428 + 0.0321786i
\(649\) −5.75324 + 5.09692i −0.225834 + 0.200072i
\(650\) −6.58132 + 6.57395i −0.258141 + 0.257852i
\(651\) 25.4849 + 22.5777i 0.998833 + 0.884889i
\(652\) −1.63803 + 3.84459i −0.0641501 + 0.150566i
\(653\) −5.80764 + 10.0591i −0.227271 + 0.393644i −0.956998 0.290094i \(-0.906314\pi\)
0.729728 + 0.683738i \(0.239647\pi\)
\(654\) −0.713647 1.23607i −0.0279058 0.0483343i
\(655\) −46.6060 + 5.65900i −1.82105 + 0.221115i
\(656\) 28.4511 + 13.5002i 1.11083 + 0.527096i
\(657\) 7.25254 4.18725i 0.282948 0.163360i
\(658\) 1.09763 + 0.757640i 0.0427901 + 0.0295359i
\(659\) 26.6030 11.3345i 1.03631 0.441529i 0.194269 0.980948i \(-0.437766\pi\)
0.842037 + 0.539419i \(0.181356\pi\)
\(660\) 6.97287 + 1.13320i 0.271419 + 0.0441098i
\(661\) −17.1129 + 22.7732i −0.665616 + 0.885774i −0.998360 0.0572431i \(-0.981769\pi\)
0.332744 + 0.943017i \(0.392025\pi\)
\(662\) 1.07035 + 2.82227i 0.0416002 + 0.109691i
\(663\) −9.66657 + 0.971183i −0.375419 + 0.0377176i
\(664\) 1.44447 3.80876i 0.0560563 0.147808i
\(665\) −58.8064 92.9948i −2.28041 3.60618i
\(666\) 0.279285 + 0.118992i 0.0108221 + 0.00461086i
\(667\) −18.4704 11.6799i −0.715175 0.452249i
\(668\) −16.8076 2.04082i −0.650307 0.0789615i
\(669\) −4.41827 10.3701i −0.170820 0.400930i
\(670\) −0.468621 + 1.40369i −0.0181044 + 0.0542293i
\(671\) −10.2338 3.88116i −0.395071 0.149831i
\(672\) 11.0254 + 0.890065i 0.425315 + 0.0343350i
\(673\) 2.69991 9.32115i 0.104074 0.359304i −0.891531 0.452960i \(-0.850368\pi\)
0.995605 + 0.0936557i \(0.0298553\pi\)
\(674\) −6.68929 0.269569i −0.257662 0.0103834i
\(675\) 11.8075 0.454471
\(676\) 25.1909 + 3.08735i 0.968879 + 0.118744i
\(677\) 3.00788 0.115602 0.0578011 0.998328i \(-0.481591\pi\)
0.0578011 + 0.998328i \(0.481591\pi\)
\(678\) 2.97758 + 0.119992i 0.114353 + 0.00460828i
\(679\) 21.6365 74.6979i 0.830333 2.86664i
\(680\) 9.50874 + 0.767625i 0.364644 + 0.0294371i
\(681\) −9.39566 3.56330i −0.360042 0.136546i
\(682\) 0.477305 1.42970i 0.0182770 0.0547462i
\(683\) 6.42229 + 15.0737i 0.245742 + 0.576778i 0.996481 0.0838213i \(-0.0267125\pi\)
−0.750739 + 0.660599i \(0.770302\pi\)
\(684\) 11.9393 + 1.44969i 0.456511 + 0.0554304i
\(685\) 35.4200 + 22.3982i 1.35333 + 0.855793i
\(686\) 4.35990 + 1.85758i 0.166462 + 0.0709227i
\(687\) −3.76312 5.95089i −0.143572 0.227041i
\(688\) −5.58354 + 14.7226i −0.212871 + 0.561294i
\(689\) 12.9181 + 1.84059i 0.492140 + 0.0701208i
\(690\) 1.74479 + 4.60065i 0.0664232 + 0.175144i
\(691\) 3.73276 4.96741i 0.142001 0.188969i −0.722839 0.691016i \(-0.757163\pi\)
0.864840 + 0.502047i \(0.167420\pi\)
\(692\) 9.78336 + 1.58995i 0.371907 + 0.0604408i
\(693\) −3.53748 + 1.50718i −0.134378 + 0.0572531i
\(694\) 3.02729 + 2.08959i 0.114914 + 0.0793197i
\(695\) 8.46116 4.88505i 0.320950 0.185301i
\(696\) 3.10408 + 1.47290i 0.117660 + 0.0558302i
\(697\) −22.6696 + 2.75259i −0.858673 + 0.104262i
\(698\) 2.68869 + 4.65694i 0.101768 + 0.176268i
\(699\) −0.416605 + 0.721581i −0.0157574 + 0.0272927i
\(700\) 39.3620 92.3859i 1.48774 3.49186i
\(701\) −7.83320 6.93961i −0.295856 0.262105i 0.502116 0.864800i \(-0.332555\pi\)
−0.797972 + 0.602695i \(0.794094\pi\)
\(702\) 0.485516 + 0.620431i 0.0183246 + 0.0234166i
\(703\) 6.40668 5.67582i 0.241632 0.214068i
\(704\) 1.92211 + 5.75741i 0.0724421 + 0.216991i
\(705\) −0.231295 + 5.73953i −0.00871108 + 0.216163i
\(706\) −4.32742 + 5.30013i −0.162865 + 0.199473i
\(707\) 46.9126 + 52.9533i 1.76433 + 1.99152i
\(708\) −16.6572 3.40058i −0.626014 0.127802i
\(709\) −20.5972 + 5.96605i −0.773544 + 0.224060i −0.641437 0.767176i \(-0.721661\pi\)
−0.132107 + 0.991235i \(0.542174\pi\)
\(710\) 3.00699 1.14040i 0.112850 0.0427985i
\(711\) 0.0773719 + 1.91996i 0.00290167 + 0.0720043i
\(712\) −9.91151 7.44802i −0.371450 0.279126i
\(713\) −42.0610 + 8.58681i −1.57520 + 0.321578i
\(714\) −2.27110 + 1.19197i −0.0849938 + 0.0446082i
\(715\) 12.8345 2.34458i 0.479983 0.0876824i
\(716\) −40.6543 21.3370i −1.51932 0.797401i
\(717\) −4.06554 1.17760i −0.151830 0.0439782i
\(718\) 5.62583 0.454164i 0.209954 0.0169492i
\(719\) 6.04248 29.5980i 0.225347 1.10382i −0.696885 0.717183i \(-0.745431\pi\)
0.922232 0.386638i \(-0.126364\pi\)
\(720\) 7.07947 + 13.4888i 0.263836 + 0.502698i
\(721\) 27.7379 + 36.9125i 1.03301 + 1.37469i
\(722\) −2.21331 + 3.50006i −0.0823707 + 0.130259i
\(723\) 14.4073 9.94467i 0.535815 0.369846i
\(724\) −0.0656334 + 0.138320i −0.00243925 + 0.00514061i
\(725\) 32.5422 33.8800i 1.20859 1.25827i
\(726\) −1.61066 1.54706i −0.0597771 0.0574167i
\(727\) −1.82713 15.0478i −0.0677645 0.558091i −0.986565 0.163369i \(-0.947764\pi\)
0.918801 0.394722i \(-0.129159\pi\)
\(728\) 13.1043 3.50342i 0.485677 0.129845i
\(729\) 0.120537 0.992709i 0.00446432 0.0367670i
\(730\) −5.81094 + 4.74449i −0.215073 + 0.175601i
\(731\) −2.28390 11.1873i −0.0844732 0.413777i
\(732\) −6.73526 23.2528i −0.248942 0.859449i
\(733\) 2.54070 + 10.3080i 0.0938428 + 0.380735i 0.999018 0.0443032i \(-0.0141068\pi\)
−0.905175 + 0.425038i \(0.860261\pi\)
\(734\) −0.284019 + 3.51821i −0.0104834 + 0.129860i
\(735\) 7.87760 + 48.4728i 0.290570 + 1.78795i
\(736\) −9.24827 + 10.4391i −0.340896 + 0.384792i
\(737\) 1.16569 0.875957i 0.0429386 0.0322663i
\(738\) 1.17117 + 1.43442i 0.0431112 + 0.0528017i
\(739\) −5.93582 + 36.5245i −0.218353 + 1.34358i 0.613989 + 0.789314i \(0.289564\pi\)
−0.832342 + 0.554263i \(0.813000\pi\)
\(740\) 10.7968 + 2.66118i 0.396900 + 0.0978269i
\(741\) 21.6722 4.86823i 0.796147 0.178839i
\(742\) 3.34481 0.824422i 0.122792 0.0302655i
\(743\) −1.92127 23.7992i −0.0704847 0.873110i −0.931314 0.364216i \(-0.881337\pi\)
0.860830 0.508893i \(-0.169945\pi\)
\(744\) 6.40188 2.13726i 0.234704 0.0783558i
\(745\) 43.3234 + 45.1044i 1.58725 + 1.65250i
\(746\) 0.963138i 0.0352630i
\(747\) −3.40190 + 3.26756i −0.124469 + 0.119554i
\(748\) −3.59652 2.93647i −0.131502 0.107368i
\(749\) 22.3645 42.6120i 0.817180 1.55701i
\(750\) −6.01913 + 0.978204i −0.219788 + 0.0357190i
\(751\) 28.5275 18.0397i 1.04098 0.658279i 0.0993976 0.995048i \(-0.468308\pi\)
0.941587 + 0.336769i \(0.109334\pi\)
\(752\) −4.70367 + 2.23192i −0.171525 + 0.0813896i
\(753\) −3.42701 + 4.96487i −0.124887 + 0.180930i
\(754\) 3.11835 + 0.316822i 0.113564 + 0.0115380i
\(755\) −10.0752 14.5964i −0.366673 0.531218i
\(756\) −7.36546 4.25245i −0.267879 0.154660i
\(757\) −4.29071 9.04247i −0.155948 0.328654i 0.810406 0.585869i \(-0.199247\pi\)
−0.966354 + 0.257214i \(0.917195\pi\)
\(758\) 0.527063 + 0.175959i 0.0191438 + 0.00639113i
\(759\) 1.16024 4.70728i 0.0421140 0.170863i
\(760\) −21.7931 + 0.878233i −0.790520 + 0.0318569i
\(761\) −7.19986 + 0.290144i −0.260995 + 0.0105177i −0.170418 0.985372i \(-0.554512\pi\)
−0.0905763 + 0.995890i \(0.528871\pi\)
\(762\) −0.000921041 0.00373681i −3.33658e−5 0.000135370i
\(763\) 26.9926 + 9.01145i 0.977198 + 0.326237i
\(764\) 8.97165 + 18.9074i 0.324583 + 0.684044i
\(765\) −9.56674 5.52336i −0.345886 0.199697i
\(766\) 0.0117066 + 0.0169599i 0.000422975 + 0.000612786i
\(767\) −31.0890 + 4.39409i −1.12256 + 0.158662i
\(768\) −6.99617 + 10.1357i −0.252453 + 0.365741i
\(769\) −2.64851 + 1.25673i −0.0955076 + 0.0453189i −0.475847 0.879528i \(-0.657858\pi\)
0.380339 + 0.924847i \(0.375807\pi\)
\(770\) 2.91124 1.84095i 0.104914 0.0663434i
\(771\) −9.16184 + 1.48894i −0.329956 + 0.0536230i
\(772\) −17.7377 + 33.7964i −0.638394 + 1.21636i
\(773\) −13.5304 11.0472i