Properties

Label 225.2.q.a.106.4
Level $225$
Weight $2$
Character 225.106
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 106.4
Character \(\chi\) \(=\) 225.106
Dual form 225.2.q.a.121.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.27906 - 0.484430i) q^{2} +(-1.66084 - 0.491525i) q^{3} +(3.13236 + 1.39462i) q^{4} +(-1.74691 + 1.39582i) q^{5} +(3.54706 + 1.92478i) q^{6} +(-0.0399999 + 0.0692819i) q^{7} +(-2.69327 - 1.95678i) q^{8} +(2.51681 + 1.63269i) q^{9} +O(q^{10})\) \(q+(-2.27906 - 0.484430i) q^{2} +(-1.66084 - 0.491525i) q^{3} +(3.13236 + 1.39462i) q^{4} +(-1.74691 + 1.39582i) q^{5} +(3.54706 + 1.92478i) q^{6} +(-0.0399999 + 0.0692819i) q^{7} +(-2.69327 - 1.95678i) q^{8} +(2.51681 + 1.63269i) q^{9} +(4.65750 - 2.33489i) q^{10} +(0.117280 + 0.0249287i) q^{11} +(-4.51688 - 3.85588i) q^{12} +(0.896805 - 0.190622i) q^{13} +(0.124725 - 0.138521i) q^{14} +(3.58743 - 1.45958i) q^{15} +(0.601591 + 0.668134i) q^{16} +(-2.65368 - 1.92801i) q^{17} +(-4.94504 - 4.94022i) q^{18} +(-2.09128 - 1.51940i) q^{19} +(-7.41859 + 1.93593i) q^{20} +(0.100487 - 0.0954055i) q^{21} +(-0.255213 - 0.113628i) q^{22} +(4.80528 - 5.33681i) q^{23} +(3.51130 + 4.57371i) q^{24} +(1.10340 - 4.87673i) q^{25} -2.13622 q^{26} +(-3.37752 - 3.94872i) q^{27} +(-0.221916 + 0.161231i) q^{28} +(-0.650369 - 6.18784i) q^{29} +(-8.88303 + 1.58862i) q^{30} +(0.644990 - 6.13667i) q^{31} +(2.28167 + 3.95197i) q^{32} +(-0.182531 - 0.0990488i) q^{33} +(5.11392 + 5.67959i) q^{34} +(-0.0268284 - 0.176862i) q^{35} +(5.60657 + 8.62417i) q^{36} +(-3.64504 + 11.2183i) q^{37} +(4.03010 + 4.47588i) q^{38} +(-1.58315 - 0.124209i) q^{39} +(7.43621 - 0.340995i) q^{40} +(6.21021 - 1.32002i) q^{41} +(-0.275234 + 0.168756i) q^{42} +(6.13162 - 10.6203i) q^{43} +(0.332599 + 0.241647i) q^{44} +(-6.67558 + 0.660830i) q^{45} +(-13.5368 + 9.83509i) q^{46} +(0.401436 + 3.81941i) q^{47} +(-0.670744 - 1.40536i) q^{48} +(3.49680 + 6.05664i) q^{49} +(-4.87715 + 10.5799i) q^{50} +(3.45969 + 4.50648i) q^{51} +(3.07496 + 0.653604i) q^{52} +(6.52099 - 4.73778i) q^{53} +(5.78469 + 10.6355i) q^{54} +(-0.239674 + 0.120153i) q^{55} +(0.243300 - 0.108324i) q^{56} +(2.72646 + 3.55140i) q^{57} +(-1.51534 + 14.4175i) q^{58} +(-1.33884 + 0.284579i) q^{59} +(13.2727 + 0.431147i) q^{60} +(-9.81061 - 2.08531i) q^{61} +(-4.44276 + 13.6734i) q^{62} +(-0.213788 + 0.109062i) q^{63} +(-3.84127 - 11.8222i) q^{64} +(-1.30057 + 1.58477i) q^{65} +(0.368018 + 0.314162i) q^{66} +(0.885569 - 8.42563i) q^{67} +(-5.62346 - 9.74012i) q^{68} +(-10.6040 + 6.50169i) q^{69} +(-0.0245335 + 0.416076i) q^{70} +(5.54404 - 4.02798i) q^{71} +(-3.58364 - 9.32212i) q^{72} +(1.36759 + 4.20901i) q^{73} +(13.7417 - 23.8014i) q^{74} +(-4.22961 + 7.55714i) q^{75} +(-4.43165 - 7.67584i) q^{76} +(-0.00641831 + 0.00712825i) q^{77} +(3.54792 + 1.05000i) q^{78} +(-0.223694 - 2.12830i) q^{79} +(-1.98352 - 0.327462i) q^{80} +(3.66864 + 8.21834i) q^{81} -14.7929 q^{82} +(2.75244 - 1.22546i) q^{83} +(0.447817 - 0.158703i) q^{84} +(7.32690 - 0.335983i) q^{85} +(-19.1191 + 21.2339i) q^{86} +(-1.96132 + 10.5967i) q^{87} +(-0.267088 - 0.296631i) q^{88} +(-4.33323 - 13.3363i) q^{89} +(15.5342 + 1.72777i) q^{90} +(-0.0226655 + 0.0697572i) q^{91} +(22.4947 - 10.0153i) q^{92} +(-4.08755 + 9.87502i) q^{93} +(0.935338 - 8.89915i) q^{94} +(5.77407 - 0.264776i) q^{95} +(-1.84701 - 7.68510i) q^{96} +(-1.27656 - 12.1456i) q^{97} +(-5.03541 - 15.4974i) q^{98} +(0.254471 + 0.254223i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.27906 0.484430i −1.61154 0.342544i −0.687901 0.725805i \(-0.741468\pi\)
−0.923640 + 0.383261i \(0.874801\pi\)
\(3\) −1.66084 0.491525i −0.958889 0.283782i
\(4\) 3.13236 + 1.39462i 1.56618 + 0.697309i
\(5\) −1.74691 + 1.39582i −0.781243 + 0.624228i
\(6\) 3.54706 + 1.92478i 1.44808 + 0.785787i
\(7\) −0.0399999 + 0.0692819i −0.0151185 + 0.0261861i −0.873486 0.486850i \(-0.838146\pi\)
0.858367 + 0.513036i \(0.171479\pi\)
\(8\) −2.69327 1.95678i −0.952216 0.691826i
\(9\) 2.51681 + 1.63269i 0.838936 + 0.544231i
\(10\) 4.65750 2.33489i 1.47283 0.738359i
\(11\) 0.117280 + 0.0249287i 0.0353613 + 0.00751628i 0.225558 0.974230i \(-0.427579\pi\)
−0.190197 + 0.981746i \(0.560913\pi\)
\(12\) −4.51688 3.85588i −1.30391 1.11310i
\(13\) 0.896805 0.190622i 0.248729 0.0528690i −0.0818599 0.996644i \(-0.526086\pi\)
0.330589 + 0.943775i \(0.392753\pi\)
\(14\) 0.124725 0.138521i 0.0333340 0.0370212i
\(15\) 3.58743 1.45958i 0.926269 0.376862i
\(16\) 0.601591 + 0.668134i 0.150398 + 0.167034i
\(17\) −2.65368 1.92801i −0.643613 0.467612i 0.217477 0.976066i \(-0.430217\pi\)
−0.861090 + 0.508453i \(0.830217\pi\)
\(18\) −4.94504 4.94022i −1.16556 1.16442i
\(19\) −2.09128 1.51940i −0.479771 0.348574i 0.321466 0.946921i \(-0.395824\pi\)
−0.801237 + 0.598347i \(0.795824\pi\)
\(20\) −7.41859 + 1.93593i −1.65885 + 0.432886i
\(21\) 0.100487 0.0954055i 0.0219281 0.0208192i
\(22\) −0.255213 0.113628i −0.0544116 0.0242256i
\(23\) 4.80528 5.33681i 1.00197 1.11280i 0.00835697 0.999965i \(-0.497340\pi\)
0.993614 0.112836i \(-0.0359935\pi\)
\(24\) 3.51130 + 4.57371i 0.716742 + 0.933606i
\(25\) 1.10340 4.87673i 0.220680 0.975346i
\(26\) −2.13622 −0.418947
\(27\) −3.37752 3.94872i −0.650003 0.759931i
\(28\) −0.221916 + 0.161231i −0.0419382 + 0.0304699i
\(29\) −0.650369 6.18784i −0.120770 1.14905i −0.872169 0.489205i \(-0.837287\pi\)
0.751398 0.659849i \(-0.229380\pi\)
\(30\) −8.88303 + 1.58862i −1.62181 + 0.290042i
\(31\) 0.644990 6.13667i 0.115844 1.10218i −0.769952 0.638102i \(-0.779720\pi\)
0.885795 0.464076i \(-0.153614\pi\)
\(32\) 2.28167 + 3.95197i 0.403346 + 0.698616i
\(33\) −0.182531 0.0990488i −0.0317746 0.0172422i
\(34\) 5.11392 + 5.67959i 0.877031 + 0.974041i
\(35\) −0.0268284 0.176862i −0.00453483 0.0298951i
\(36\) 5.60657 + 8.62417i 0.934429 + 1.43736i
\(37\) −3.64504 + 11.2183i −0.599241 + 1.84427i −0.0668736 + 0.997761i \(0.521302\pi\)
−0.532368 + 0.846513i \(0.678698\pi\)
\(38\) 4.03010 + 4.47588i 0.653769 + 0.726084i
\(39\) −1.58315 0.124209i −0.253507 0.0198893i
\(40\) 7.43621 0.340995i 1.17577 0.0539161i
\(41\) 6.21021 1.32002i 0.969872 0.206153i 0.304374 0.952552i \(-0.401553\pi\)
0.665498 + 0.746400i \(0.268219\pi\)
\(42\) −0.275234 + 0.168756i −0.0424696 + 0.0260396i
\(43\) 6.13162 10.6203i 0.935064 1.61958i 0.160543 0.987029i \(-0.448675\pi\)
0.774520 0.632549i \(-0.217991\pi\)
\(44\) 0.332599 + 0.241647i 0.0501411 + 0.0364297i
\(45\) −6.67558 + 0.660830i −0.995136 + 0.0985108i
\(46\) −13.5368 + 9.83509i −1.99590 + 1.45011i
\(47\) 0.401436 + 3.81941i 0.0585555 + 0.557118i 0.983992 + 0.178215i \(0.0570322\pi\)
−0.925436 + 0.378904i \(0.876301\pi\)
\(48\) −0.670744 1.40536i −0.0968136 0.202847i
\(49\) 3.49680 + 6.05664i 0.499543 + 0.865234i
\(50\) −4.87715 + 10.5799i −0.689733 + 1.49622i
\(51\) 3.45969 + 4.50648i 0.484453 + 0.631034i
\(52\) 3.07496 + 0.653604i 0.426421 + 0.0906385i
\(53\) 6.52099 4.73778i 0.895727 0.650784i −0.0416378 0.999133i \(-0.513258\pi\)
0.937365 + 0.348349i \(0.113258\pi\)
\(54\) 5.78469 + 10.6355i 0.787197 + 1.44731i
\(55\) −0.239674 + 0.120153i −0.0323177 + 0.0162015i
\(56\) 0.243300 0.108324i 0.0325123 0.0144754i
\(57\) 2.72646 + 3.55140i 0.361128 + 0.470394i
\(58\) −1.51534 + 14.4175i −0.198975 + 1.89312i
\(59\) −1.33884 + 0.284579i −0.174302 + 0.0370490i −0.294236 0.955733i \(-0.595065\pi\)
0.119934 + 0.992782i \(0.461732\pi\)
\(60\) 13.2727 + 0.431147i 1.71350 + 0.0556609i
\(61\) −9.81061 2.08531i −1.25612 0.266996i −0.468669 0.883374i \(-0.655266\pi\)
−0.787451 + 0.616378i \(0.788599\pi\)
\(62\) −4.44276 + 13.6734i −0.564231 + 1.73652i
\(63\) −0.213788 + 0.109062i −0.0269348 + 0.0137405i
\(64\) −3.84127 11.8222i −0.480159 1.47778i
\(65\) −1.30057 + 1.58477i −0.161315 + 0.196567i
\(66\) 0.368018 + 0.314162i 0.0452999 + 0.0386707i
\(67\) 0.885569 8.42563i 0.108190 1.02935i −0.796894 0.604120i \(-0.793525\pi\)
0.905083 0.425235i \(-0.139808\pi\)
\(68\) −5.62346 9.74012i −0.681945 1.18116i
\(69\) −10.6040 + 6.50169i −1.27657 + 0.782711i
\(70\) −0.0245335 + 0.416076i −0.00293231 + 0.0497305i
\(71\) 5.54404 4.02798i 0.657957 0.478034i −0.208016 0.978126i \(-0.566700\pi\)
0.865972 + 0.500092i \(0.166700\pi\)
\(72\) −3.58364 9.32212i −0.422336 1.09862i
\(73\) 1.36759 + 4.20901i 0.160064 + 0.492627i 0.998639 0.0521600i \(-0.0166106\pi\)
−0.838575 + 0.544787i \(0.816611\pi\)
\(74\) 13.7417 23.8014i 1.59745 2.76686i
\(75\) −4.22961 + 7.55714i −0.488393 + 0.872624i
\(76\) −4.43165 7.67584i −0.508345 0.880480i
\(77\) −0.00641831 + 0.00712825i −0.000731434 + 0.000812340i
\(78\) 3.54792 + 1.05000i 0.401723 + 0.118889i
\(79\) −0.223694 2.12830i −0.0251675 0.239453i −0.999873 0.0159582i \(-0.994920\pi\)
0.974705 0.223495i \(-0.0717465\pi\)
\(80\) −1.98352 0.327462i −0.221764 0.0366113i
\(81\) 3.66864 + 8.21834i 0.407626 + 0.913149i
\(82\) −14.7929 −1.63360
\(83\) 2.75244 1.22546i 0.302119 0.134512i −0.250078 0.968226i \(-0.580456\pi\)
0.552197 + 0.833714i \(0.313790\pi\)
\(84\) 0.447817 0.158703i 0.0488609 0.0173159i
\(85\) 7.32690 0.335983i 0.794714 0.0364424i
\(86\) −19.1191 + 21.2339i −2.06167 + 2.28972i
\(87\) −1.96132 + 10.5967i −0.210275 + 1.13609i
\(88\) −0.267088 0.296631i −0.0284717 0.0316210i
\(89\) −4.33323 13.3363i −0.459321 1.41364i −0.865986 0.500068i \(-0.833308\pi\)
0.406665 0.913577i \(-0.366692\pi\)
\(90\) 15.5342 + 1.72777i 1.63745 + 0.182123i
\(91\) −0.0226655 + 0.0697572i −0.00237599 + 0.00731254i
\(92\) 22.4947 10.0153i 2.34523 1.04417i
\(93\) −4.08755 + 9.87502i −0.423859 + 1.02399i
\(94\) 0.935338 8.89915i 0.0964728 0.917877i
\(95\) 5.77407 0.264776i 0.592408 0.0271655i
\(96\) −1.84701 7.68510i −0.188510 0.784358i
\(97\) −1.27656 12.1456i −0.129615 1.23320i −0.845114 0.534586i \(-0.820467\pi\)
0.715499 0.698613i \(-0.246199\pi\)
\(98\) −5.03541 15.4974i −0.508653 1.56547i
\(99\) 0.254471 + 0.254223i 0.0255753 + 0.0255504i
\(100\) 10.2574 13.7369i 1.02574 1.37369i
\(101\) −3.17409 + 5.49768i −0.315833 + 0.547039i −0.979614 0.200888i \(-0.935617\pi\)
0.663781 + 0.747927i \(0.268951\pi\)
\(102\) −5.70177 11.9465i −0.564560 1.18288i
\(103\) 6.49051 + 2.88976i 0.639529 + 0.284737i 0.700771 0.713386i \(-0.252839\pi\)
−0.0612421 + 0.998123i \(0.519506\pi\)
\(104\) −2.78835 1.24145i −0.273420 0.121734i
\(105\) −0.0423741 + 0.306927i −0.00413529 + 0.0299530i
\(106\) −17.1569 + 7.63873i −1.66642 + 0.741939i
\(107\) −7.25662 −0.701524 −0.350762 0.936465i \(-0.614077\pi\)
−0.350762 + 0.936465i \(0.614077\pi\)
\(108\) −5.07265 17.0792i −0.488116 1.64344i
\(109\) 0.254477 0.783199i 0.0243744 0.0750168i −0.938129 0.346285i \(-0.887443\pi\)
0.962504 + 0.271268i \(0.0874430\pi\)
\(110\) 0.604438 0.157732i 0.0576309 0.0150391i
\(111\) 11.5679 16.8402i 1.09798 1.59840i
\(112\) −0.0703532 + 0.0149540i −0.00664775 + 0.00141302i
\(113\) −11.5629 + 2.45777i −1.08775 + 0.231207i −0.716682 0.697400i \(-0.754340\pi\)
−0.371063 + 0.928607i \(0.621007\pi\)
\(114\) −4.49337 9.41464i −0.420842 0.881762i
\(115\) −0.945206 + 16.0302i −0.0881409 + 1.49483i
\(116\) 6.59249 20.2896i 0.612097 1.88384i
\(117\) 2.56831 + 0.984448i 0.237440 + 0.0910122i
\(118\) 3.18916 0.293586
\(119\) 0.239724 0.106732i 0.0219754 0.00978409i
\(120\) −12.5180 3.08874i −1.14273 0.281962i
\(121\) −10.0359 4.46826i −0.912352 0.406205i
\(122\) 21.3488 + 9.50510i 1.93283 + 0.860551i
\(123\) −10.9630 0.860122i −0.988502 0.0775546i
\(124\) 10.5787 18.3228i 0.949991 1.64543i
\(125\) 4.87948 + 10.0594i 0.436434 + 0.899736i
\(126\) 0.540069 0.144993i 0.0481132 0.0129170i
\(127\) −1.06234 3.26956i −0.0942677 0.290126i 0.892794 0.450464i \(-0.148742\pi\)
−0.987062 + 0.160338i \(0.948742\pi\)
\(128\) 2.07347 + 19.7277i 0.183270 + 1.74370i
\(129\) −15.4038 + 14.6248i −1.35623 + 1.28764i
\(130\) 3.73178 2.98176i 0.327299 0.261518i
\(131\) −0.663522 + 6.31299i −0.0579722 + 0.551569i 0.926533 + 0.376213i \(0.122774\pi\)
−0.984505 + 0.175355i \(0.943893\pi\)
\(132\) −0.433619 0.564818i −0.0377417 0.0491611i
\(133\) 0.188918 0.0841116i 0.0163812 0.00729340i
\(134\) −6.09989 + 18.7735i −0.526951 + 1.62179i
\(135\) 11.4119 + 2.18367i 0.982180 + 0.187941i
\(136\) 3.37440 + 10.3853i 0.289353 + 0.890536i
\(137\) 8.09601 + 8.99153i 0.691689 + 0.768199i 0.982030 0.188725i \(-0.0604354\pi\)
−0.290341 + 0.956923i \(0.593769\pi\)
\(138\) 27.3168 9.68087i 2.32536 0.824090i
\(139\) −7.40708 + 8.22640i −0.628261 + 0.697754i −0.970293 0.241934i \(-0.922218\pi\)
0.342032 + 0.939688i \(0.388885\pi\)
\(140\) 0.162618 0.591411i 0.0137438 0.0499833i
\(141\) 1.21061 6.54076i 0.101952 0.550832i
\(142\) −14.5865 + 6.49433i −1.22407 + 0.544992i
\(143\) 0.109929 0.00919277
\(144\) 0.423231 + 2.66378i 0.0352692 + 0.221982i
\(145\) 9.77322 + 9.90182i 0.811622 + 0.822301i
\(146\) −1.07785 10.2551i −0.0892038 0.848717i
\(147\) −2.83065 11.7779i −0.233468 0.971424i
\(148\) −27.0628 + 30.0563i −2.22455 + 2.47061i
\(149\) 2.97995 + 5.16142i 0.244127 + 0.422840i 0.961886 0.273452i \(-0.0881653\pi\)
−0.717759 + 0.696292i \(0.754832\pi\)
\(150\) 13.3004 15.1743i 1.08598 1.23897i
\(151\) 10.4787 18.1497i 0.852746 1.47700i −0.0259746 0.999663i \(-0.508269\pi\)
0.878721 0.477337i \(-0.158398\pi\)
\(152\) 2.65925 + 8.18432i 0.215693 + 0.663836i
\(153\) −3.53096 9.18509i −0.285461 0.742570i
\(154\) 0.0180809 0.0131365i 0.00145700 0.00105857i
\(155\) 7.43892 + 11.6205i 0.597508 + 0.933381i
\(156\) −4.78577 2.59695i −0.383169 0.207923i
\(157\) 0.0806568 + 0.139702i 0.00643711 + 0.0111494i 0.869226 0.494415i \(-0.164618\pi\)
−0.862789 + 0.505564i \(0.831284\pi\)
\(158\) −0.521201 + 4.95890i −0.0414646 + 0.394509i
\(159\) −13.1591 + 4.66348i −1.04358 + 0.369838i
\(160\) −9.50210 3.71895i −0.751207 0.294009i
\(161\) 0.177533 + 0.546391i 0.0139916 + 0.0430616i
\(162\) −4.37984 20.5073i −0.344113 1.61121i
\(163\) −1.94428 + 5.98388i −0.152288 + 0.468693i −0.997876 0.0651422i \(-0.979250\pi\)
0.845588 + 0.533836i \(0.179250\pi\)
\(164\) 21.2936 + 4.52609i 1.66275 + 0.353428i
\(165\) 0.457120 0.0817504i 0.0355867 0.00636426i
\(166\) −6.86663 + 1.45955i −0.532954 + 0.113283i
\(167\) 1.65522 15.7484i 0.128085 1.21865i −0.721960 0.691935i \(-0.756758\pi\)
0.850044 0.526711i \(-0.176575\pi\)
\(168\) −0.457327 + 0.0603216i −0.0352836 + 0.00465391i
\(169\) −11.1082 + 4.94568i −0.854475 + 0.380437i
\(170\) −16.8612 2.78364i −1.29320 0.213496i
\(171\) −2.78262 7.23844i −0.212793 0.553538i
\(172\) 34.0177 24.7153i 2.59383 1.88452i
\(173\) −19.6306 4.17261i −1.49248 0.317237i −0.611827 0.790991i \(-0.709565\pi\)
−0.880657 + 0.473754i \(0.842899\pi\)
\(174\) 9.60333 23.2005i 0.728026 1.75882i
\(175\) 0.293733 + 0.271514i 0.0222041 + 0.0205246i
\(176\) 0.0538990 + 0.0933559i 0.00406279 + 0.00703697i
\(177\) 2.36348 + 0.185431i 0.177650 + 0.0139378i
\(178\) 3.41519 + 32.4934i 0.255980 + 2.43548i
\(179\) 5.67257 4.12136i 0.423987 0.308045i −0.355253 0.934770i \(-0.615605\pi\)
0.779240 + 0.626725i \(0.215605\pi\)
\(180\) −21.8319 7.23992i −1.62726 0.539632i
\(181\) 15.8020 + 11.4808i 1.17455 + 0.853362i 0.991547 0.129750i \(-0.0414173\pi\)
0.183006 + 0.983112i \(0.441417\pi\)
\(182\) 0.0854485 0.148001i 0.00633386 0.0109706i
\(183\) 15.2689 + 8.28553i 1.12871 + 0.612484i
\(184\) −23.3849 + 4.97061i −1.72396 + 0.366438i
\(185\) −9.29109 24.6852i −0.683094 1.81489i
\(186\) 14.0995 20.5257i 1.03383 1.50501i
\(187\) −0.263162 0.292271i −0.0192443 0.0213730i
\(188\) −4.06918 + 12.5236i −0.296775 + 0.913380i
\(189\) 0.408675 0.0760523i 0.0297267 0.00553199i
\(190\) −13.2877 2.19369i −0.963994 0.159147i
\(191\) 8.37417 + 9.30046i 0.605934 + 0.672958i 0.965573 0.260134i \(-0.0837667\pi\)
−0.359639 + 0.933092i \(0.617100\pi\)
\(192\) 0.568842 + 21.5229i 0.0410527 + 1.55328i
\(193\) 2.25962 + 3.91377i 0.162651 + 0.281720i 0.935819 0.352482i \(-0.114662\pi\)
−0.773168 + 0.634202i \(0.781329\pi\)
\(194\) −2.97435 + 28.2990i −0.213546 + 2.03175i
\(195\) 2.93899 1.99280i 0.210466 0.142707i
\(196\) 2.50656 + 23.8483i 0.179040 + 1.70345i
\(197\) −5.64856 + 4.10392i −0.402444 + 0.292392i −0.770536 0.637397i \(-0.780011\pi\)
0.368092 + 0.929789i \(0.380011\pi\)
\(198\) −0.456802 0.702664i −0.0324635 0.0499362i
\(199\) 5.63769 0.399646 0.199823 0.979832i \(-0.435963\pi\)
0.199823 + 0.979832i \(0.435963\pi\)
\(200\) −12.5144 + 10.9753i −0.884904 + 0.776069i
\(201\) −5.61220 + 13.5584i −0.395854 + 0.956334i
\(202\) 9.89718 10.9919i 0.696363 0.773390i
\(203\) 0.454720 + 0.202454i 0.0319151 + 0.0142095i
\(204\) 4.55218 + 18.9409i 0.318717 + 1.32613i
\(205\) −9.00618 + 10.9743i −0.629019 + 0.766476i
\(206\) −13.3924 9.73014i −0.933092 0.677931i
\(207\) 20.8073 5.58617i 1.44621 0.388266i
\(208\) 0.666871 + 0.484510i 0.0462392 + 0.0335947i
\(209\) −0.207389 0.230328i −0.0143454 0.0159322i
\(210\) 0.245258 0.678978i 0.0169244 0.0468539i
\(211\) 6.14696 6.82689i 0.423174 0.469982i −0.493426 0.869788i \(-0.664256\pi\)
0.916600 + 0.399805i \(0.130922\pi\)
\(212\) 27.0335 5.74615i 1.85667 0.394647i
\(213\) −11.1876 + 3.96482i −0.766565 + 0.271665i
\(214\) 16.5383 + 3.51532i 1.13053 + 0.240303i
\(215\) 4.11255 + 27.1113i 0.280474 + 1.84898i
\(216\) 1.36981 + 17.2440i 0.0932038 + 1.17331i
\(217\) 0.399360 + 0.290152i 0.0271103 + 0.0196968i
\(218\) −0.959373 + 1.66168i −0.0649769 + 0.112543i
\(219\) −0.202522 7.66271i −0.0136852 0.517798i
\(220\) −0.918315 + 0.0421103i −0.0619128 + 0.00283907i
\(221\) −2.74736 1.22320i −0.184807 0.0822815i
\(222\) −34.5219 + 32.7760i −2.31696 + 2.19978i
\(223\) 16.1144 + 3.42522i 1.07910 + 0.229370i 0.712970 0.701194i \(-0.247349\pi\)
0.366129 + 0.930564i \(0.380683\pi\)
\(224\) −0.365067 −0.0243920
\(225\) 10.7392 10.4723i 0.715949 0.698152i
\(226\) 27.5432 1.83214
\(227\) −22.4446 4.77074i −1.48970 0.316645i −0.610085 0.792336i \(-0.708865\pi\)
−0.879612 + 0.475691i \(0.842198\pi\)
\(228\) 3.58742 + 14.9266i 0.237582 + 0.988541i
\(229\) 13.1563 + 5.85755i 0.869391 + 0.387078i 0.792435 0.609957i \(-0.208813\pi\)
0.0769564 + 0.997034i \(0.475480\pi\)
\(230\) 9.91970 36.0760i 0.654085 2.37878i
\(231\) 0.0141635 0.00868416i 0.000931891 0.000571376i
\(232\) −10.3566 + 17.9382i −0.679945 + 1.17770i
\(233\) 4.93126 + 3.58277i 0.323058 + 0.234715i 0.737479 0.675370i \(-0.236016\pi\)
−0.414421 + 0.910085i \(0.636016\pi\)
\(234\) −5.37645 3.48778i −0.351469 0.228004i
\(235\) −6.03247 6.11184i −0.393515 0.398693i
\(236\) −4.59061 0.975765i −0.298823 0.0635169i
\(237\) −0.674593 + 3.64473i −0.0438195 + 0.236751i
\(238\) −0.598049 + 0.127119i −0.0387658 + 0.00823992i
\(239\) −3.49373 + 3.88018i −0.225990 + 0.250988i −0.845467 0.534027i \(-0.820678\pi\)
0.619477 + 0.785015i \(0.287345\pi\)
\(240\) 3.13336 + 1.51881i 0.202258 + 0.0980388i
\(241\) 2.95328 + 3.27995i 0.190237 + 0.211280i 0.830717 0.556695i \(-0.187931\pi\)
−0.640479 + 0.767975i \(0.721264\pi\)
\(242\) 20.7078 + 15.0451i 1.33115 + 0.967136i
\(243\) −2.05352 15.4526i −0.131733 0.991285i
\(244\) −27.8222 20.2140i −1.78113 1.29407i
\(245\) −14.5625 5.69952i −0.930367 0.364129i
\(246\) 24.5687 + 7.27108i 1.56645 + 0.463587i
\(247\) −2.16510 0.963963i −0.137762 0.0613355i
\(248\) −13.7452 + 15.2656i −0.872823 + 0.969368i
\(249\) −5.17371 + 0.682414i −0.327871 + 0.0432462i
\(250\) −6.24758 25.2897i −0.395132 1.59946i
\(251\) −21.8640 −1.38004 −0.690021 0.723790i \(-0.742399\pi\)
−0.690021 + 0.723790i \(0.742399\pi\)
\(252\) −0.821761 + 0.0434680i −0.0517661 + 0.00273822i
\(253\) 0.696605 0.506113i 0.0437952 0.0318190i
\(254\) 0.837276 + 7.96615i 0.0525354 + 0.499841i
\(255\) −12.3340 3.04334i −0.772384 0.190581i
\(256\) 2.23242 21.2401i 0.139527 1.32751i
\(257\) −8.09823 14.0265i −0.505154 0.874952i −0.999982 0.00596115i \(-0.998102\pi\)
0.494829 0.868991i \(-0.335231\pi\)
\(258\) 42.1909 25.8688i 2.62669 1.61052i
\(259\) −0.631423 0.701266i −0.0392347 0.0435745i
\(260\) −6.28400 + 3.15029i −0.389717 + 0.195373i
\(261\) 8.46599 16.6355i 0.524032 1.02971i
\(262\) 4.57041 14.0663i 0.282361 0.869017i
\(263\) −17.9584 19.9449i −1.10736 1.22985i −0.970971 0.239199i \(-0.923115\pi\)
−0.136394 0.990655i \(-0.543551\pi\)
\(264\) 0.297790 + 0.623939i 0.0183277 + 0.0384008i
\(265\) −4.77853 + 17.3786i −0.293543 + 1.06756i
\(266\) −0.471301 + 0.100178i −0.0288973 + 0.00614232i
\(267\) 0.641695 + 24.2794i 0.0392711 + 1.48588i
\(268\) 14.5245 25.1571i 0.887223 1.53671i
\(269\) −0.482020 0.350208i −0.0293893 0.0213525i 0.572994 0.819560i \(-0.305782\pi\)
−0.602383 + 0.798207i \(0.705782\pi\)
\(270\) −24.9506 10.5050i −1.51845 0.639314i
\(271\) −13.5684 + 9.85799i −0.824219 + 0.598830i −0.917918 0.396771i \(-0.870131\pi\)
0.0936990 + 0.995601i \(0.470131\pi\)
\(272\) −0.308260 2.93289i −0.0186910 0.177833i
\(273\) 0.0719312 0.104715i 0.00435347 0.00633765i
\(274\) −14.0956 24.4142i −0.851544 1.47492i
\(275\) 0.250978 0.544438i 0.0151345 0.0328309i
\(276\) −42.2829 + 5.57713i −2.54513 + 0.335704i
\(277\) 17.9293 + 3.81098i 1.07726 + 0.228980i 0.712182 0.701995i \(-0.247707\pi\)
0.365083 + 0.930975i \(0.381041\pi\)
\(278\) 20.8663 15.1603i 1.25148 0.909252i
\(279\) 11.6426 14.3917i 0.697024 0.861611i
\(280\) −0.273823 + 0.528835i −0.0163641 + 0.0316039i
\(281\) 26.8130 11.9379i 1.59953 0.712156i 0.603186 0.797600i \(-0.293898\pi\)
0.996343 + 0.0854442i \(0.0272309\pi\)
\(282\) −5.92760 + 14.3204i −0.352983 + 0.852765i
\(283\) 2.60480 24.7830i 0.154839 1.47320i −0.590785 0.806829i \(-0.701182\pi\)
0.745624 0.666367i \(-0.232152\pi\)
\(284\) 22.9835 4.88528i 1.36382 0.289888i
\(285\) −9.71998 2.39835i −0.575762 0.142066i
\(286\) −0.250536 0.0532531i −0.0148145 0.00314892i
\(287\) −0.156954 + 0.483056i −0.00926472 + 0.0285139i
\(288\) −0.709823 + 13.6716i −0.0418267 + 0.805607i
\(289\) −1.92849 5.93528i −0.113441 0.349134i
\(290\) −17.4771 27.3013i −1.02629 1.60319i
\(291\) −3.84971 + 20.7994i −0.225674 + 1.21928i
\(292\) −1.58617 + 15.0914i −0.0928236 + 0.883157i
\(293\) −12.3483 21.3878i −0.721394 1.24949i −0.960441 0.278483i \(-0.910169\pi\)
0.239048 0.971008i \(-0.423165\pi\)
\(294\) 0.745679 + 28.2138i 0.0434889 + 1.64546i
\(295\) 1.94161 2.36591i 0.113045 0.137748i
\(296\) 31.7688 23.0814i 1.84652 1.34158i
\(297\) −0.297680 0.547304i −0.0172731 0.0317578i
\(298\) −4.29114 13.2068i −0.248579 0.765048i
\(299\) 3.29209 5.70207i 0.190386 0.329759i
\(300\) −23.7880 + 17.7730i −1.37340 + 1.02613i
\(301\) 0.490529 + 0.849621i 0.0282736 + 0.0489713i
\(302\) −32.6739 + 36.2880i −1.88017 + 2.08814i
\(303\) 7.97391 7.57065i 0.458089 0.434922i
\(304\) −0.242929 2.31131i −0.0139329 0.132563i
\(305\) 20.0490 10.0509i 1.14800 0.575515i
\(306\) 3.59775 + 22.6439i 0.205669 + 1.29447i
\(307\) −2.26067 −0.129023 −0.0645116 0.997917i \(-0.520549\pi\)
−0.0645116 + 0.997917i \(0.520549\pi\)
\(308\) −0.0300457 + 0.0133772i −0.00171201 + 0.000762236i
\(309\) −9.35934 7.98969i −0.532434 0.454517i
\(310\) −11.3244 30.0875i −0.643185 1.70885i
\(311\) −0.205373 + 0.228090i −0.0116456 + 0.0129338i −0.748940 0.662638i \(-0.769437\pi\)
0.737294 + 0.675572i \(0.236103\pi\)
\(312\) 4.02080 + 3.43240i 0.227633 + 0.194321i
\(313\) −0.847833 0.941614i −0.0479224 0.0532232i 0.718707 0.695313i \(-0.244734\pi\)
−0.766629 + 0.642090i \(0.778068\pi\)
\(314\) −0.116146 0.357461i −0.00655451 0.0201727i
\(315\) 0.221239 0.488930i 0.0124654 0.0275481i
\(316\) 2.26748 6.97859i 0.127556 0.392576i
\(317\) −3.94679 + 1.75722i −0.221674 + 0.0986955i −0.514569 0.857449i \(-0.672048\pi\)
0.292895 + 0.956145i \(0.405381\pi\)
\(318\) 32.2495 4.25372i 1.80846 0.238537i
\(319\) 0.0779795 0.741925i 0.00436601 0.0415398i
\(320\) 23.2120 + 15.2907i 1.29759 + 0.854774i
\(321\) 12.0521 + 3.56681i 0.672684 + 0.199080i
\(322\) −0.139921 1.33126i −0.00779750 0.0741883i
\(323\) 2.62016 + 8.06402i 0.145789 + 0.448694i
\(324\) 0.0300565 + 30.8592i 0.00166981 + 1.71440i
\(325\) 0.0599226 4.58381i 0.00332391 0.254264i
\(326\) 7.32990 12.6958i 0.405966 0.703153i
\(327\) −0.807608 + 1.17569i −0.0446608 + 0.0650158i
\(328\) −19.3088 8.59683i −1.06615 0.474680i
\(329\) −0.280673 0.124964i −0.0154740 0.00688948i
\(330\) −1.08141 0.0351282i −0.0595295 0.00193375i
\(331\) −16.1914 + 7.20887i −0.889959 + 0.396235i −0.800204 0.599729i \(-0.795275\pi\)
−0.0897555 + 0.995964i \(0.528609\pi\)
\(332\) 10.3307 0.566970
\(333\) −27.4899 + 22.2830i −1.50644 + 1.22110i
\(334\) −11.4013 + 35.0897i −0.623853 + 1.92002i
\(335\) 10.2136 + 15.9549i 0.558029 + 0.871711i
\(336\) 0.124196 + 0.00974401i 0.00677545 + 0.000531579i
\(337\) 18.1991 3.86833i 0.991366 0.210721i 0.316445 0.948611i \(-0.397511\pi\)
0.674921 + 0.737890i \(0.264178\pi\)
\(338\) 27.7120 5.89038i 1.50734 0.320394i
\(339\) 20.4122 + 1.60148i 1.10864 + 0.0869802i
\(340\) 23.4191 + 9.16581i 1.27008 + 0.497086i
\(341\) 0.228624 0.703632i 0.0123807 0.0381038i
\(342\) 2.83526 + 17.8449i 0.153313 + 0.964939i
\(343\) −1.11949 −0.0604465
\(344\) −37.2957 + 16.6051i −2.01085 + 0.895287i
\(345\) 9.44909 26.1591i 0.508722 1.40836i
\(346\) 42.7180 + 19.0193i 2.29653 + 1.02248i
\(347\) 3.43437 + 1.52908i 0.184366 + 0.0820852i 0.496844 0.867840i \(-0.334492\pi\)
−0.312477 + 0.949925i \(0.601159\pi\)
\(348\) −20.9219 + 30.4575i −1.12153 + 1.63269i
\(349\) −8.67968 + 15.0336i −0.464613 + 0.804733i −0.999184 0.0403906i \(-0.987140\pi\)
0.534571 + 0.845123i \(0.320473\pi\)
\(350\) −0.537907 0.761091i −0.0287523 0.0406820i
\(351\) −3.78169 2.89740i −0.201851 0.154652i
\(352\) 0.169078 + 0.520367i 0.00901186 + 0.0277357i
\(353\) 2.36154 + 22.4685i 0.125692 + 1.19588i 0.857542 + 0.514414i \(0.171990\pi\)
−0.731850 + 0.681466i \(0.761343\pi\)
\(354\) −5.29669 1.56755i −0.281516 0.0833143i
\(355\) −4.06263 + 14.7750i −0.215622 + 0.784175i
\(356\) 5.02580 47.8173i 0.266367 2.53431i
\(357\) −0.450605 + 0.0594349i −0.0238485 + 0.00314563i
\(358\) −14.9246 + 6.64488i −0.788792 + 0.351193i
\(359\) 4.89466 15.0642i 0.258330 0.795059i −0.734825 0.678257i \(-0.762736\pi\)
0.993155 0.116802i \(-0.0372643\pi\)
\(360\) 19.2723 + 11.2828i 1.01574 + 0.594657i
\(361\) −3.80647 11.7151i −0.200340 0.616585i
\(362\) −30.4521 33.8204i −1.60053 1.77756i
\(363\) 14.4718 + 12.3540i 0.759570 + 0.648414i
\(364\) −0.168281 + 0.186895i −0.00882033 + 0.00979597i
\(365\) −8.26405 5.44386i −0.432560 0.284945i
\(366\) −30.7850 26.2799i −1.60916 1.37367i
\(367\) −17.8242 + 7.93586i −0.930417 + 0.414248i −0.815258 0.579099i \(-0.803405\pi\)
−0.115160 + 0.993347i \(0.536738\pi\)
\(368\) 6.45652 0.336569
\(369\) 17.7851 + 6.81712i 0.925855 + 0.354885i
\(370\) 9.21675 + 60.7599i 0.479156 + 3.15876i
\(371\) 0.0674031 + 0.641297i 0.00349939 + 0.0332945i
\(372\) −26.5756 + 25.2316i −1.37788 + 1.30820i
\(373\) 15.0111 16.6715i 0.777243 0.863216i −0.216340 0.976318i \(-0.569412\pi\)
0.993583 + 0.113102i \(0.0360786\pi\)
\(374\) 0.458178 + 0.793587i 0.0236918 + 0.0410354i
\(375\) −3.15963 19.1054i −0.163162 0.986599i
\(376\) 6.39256 11.0722i 0.329671 0.571008i
\(377\) −1.76279 5.42531i −0.0907884 0.279418i
\(378\) −0.968238 0.0246464i −0.0498008 0.00126768i
\(379\) −28.9193 + 21.0111i −1.48548 + 1.07927i −0.509746 + 0.860325i \(0.670261\pi\)
−0.975738 + 0.218942i \(0.929739\pi\)
\(380\) 18.4558 + 7.22325i 0.946761 + 0.370545i
\(381\) 0.157319 + 5.95239i 0.00805971 + 0.304950i
\(382\) −14.5798 25.2530i −0.745970 1.29206i
\(383\) −3.78092 + 35.9730i −0.193196 + 1.83814i 0.283385 + 0.959006i \(0.408543\pi\)
−0.476581 + 0.879131i \(0.658124\pi\)
\(384\) 6.25295 33.7838i 0.319095 1.72402i
\(385\) 0.00126249 0.0214112i 6.43425e−5 0.00109122i
\(386\) −3.25386 10.0144i −0.165617 0.509718i
\(387\) 32.7718 16.7182i 1.66588 0.849831i
\(388\) 12.9399 39.8248i 0.656922 2.02180i
\(389\) 18.1432 + 3.85646i 0.919897 + 0.195530i 0.643440 0.765496i \(-0.277506\pi\)
0.276457 + 0.961026i \(0.410840\pi\)
\(390\) −7.66352 + 3.11798i −0.388057 + 0.157885i
\(391\) −23.0411 + 4.89755i −1.16524 + 0.247680i
\(392\) 2.43365 23.1546i 0.122918 1.16949i
\(393\) 4.20500 10.1588i 0.212114 0.512442i
\(394\) 14.8615 6.61676i 0.748711 0.333348i
\(395\) 3.36149 + 3.40572i 0.169135 + 0.171360i
\(396\) 0.442551 + 1.15121i 0.0222390 + 0.0578505i
\(397\) 29.8077 21.6566i 1.49601 1.08691i 0.524069 0.851676i \(-0.324413\pi\)
0.971938 0.235237i \(-0.0755868\pi\)
\(398\) −12.8487 2.73107i −0.644045 0.136896i
\(399\) −0.355106 + 0.0468385i −0.0177775 + 0.00234486i
\(400\) 3.92211 2.19658i 0.196105 0.109829i
\(401\) 5.69134 + 9.85769i 0.284212 + 0.492270i 0.972418 0.233246i \(-0.0749347\pi\)
−0.688206 + 0.725516i \(0.741601\pi\)
\(402\) 19.3586 28.1817i 0.965521 1.40557i
\(403\) −0.591353 5.62634i −0.0294574 0.280268i
\(404\) −17.6096 + 12.7941i −0.876108 + 0.636530i
\(405\) −17.8801 9.23597i −0.888468 0.458939i
\(406\) −0.938261 0.681686i −0.0465651 0.0338315i
\(407\) −0.707149 + 1.22482i −0.0350521 + 0.0607120i
\(408\) −0.499705 18.9070i −0.0247391 0.936038i
\(409\) −5.81648 + 1.23633i −0.287607 + 0.0611327i −0.349456 0.936953i \(-0.613634\pi\)
0.0618493 + 0.998086i \(0.480300\pi\)
\(410\) 25.8419 20.6482i 1.27624 1.01974i
\(411\) −9.02666 18.9129i −0.445252 0.932906i
\(412\) 16.3005 + 18.1036i 0.803069 + 0.891899i
\(413\) 0.0338373 0.104140i 0.00166502 0.00512442i
\(414\) −50.1273 + 2.65154i −2.46362 + 0.130316i
\(415\) −3.09774 + 5.98267i −0.152062 + 0.293678i
\(416\) 2.79954 + 3.10921i 0.137259 + 0.152442i
\(417\) 16.3455 10.0220i 0.800442 0.490780i
\(418\) 0.361074 + 0.625398i 0.0176607 + 0.0305892i
\(419\) 0.225553 2.14600i 0.0110190 0.104839i −0.987630 0.156803i \(-0.949881\pi\)
0.998649 + 0.0519638i \(0.0165480\pi\)
\(420\) −0.560777 + 0.902310i −0.0273631 + 0.0440282i
\(421\) −0.566044 5.38555i −0.0275873 0.262476i −0.999618 0.0276234i \(-0.991206\pi\)
0.972031 0.234852i \(-0.0754606\pi\)
\(422\) −17.3165 + 12.5811i −0.842952 + 0.612440i
\(423\) −5.22558 + 10.2681i −0.254077 + 0.499254i
\(424\) −26.8336 −1.30315
\(425\) −12.3305 + 10.8139i −0.598116 + 0.524553i
\(426\) 27.4180 3.61644i 1.32841 0.175217i
\(427\) 0.536897 0.596285i 0.0259823 0.0288563i
\(428\) −22.7304 10.1202i −1.09871 0.489179i
\(429\) −0.182576 0.0540331i −0.00881484 0.00260874i
\(430\) 3.76076 63.7806i 0.181360 3.07577i
\(431\) 16.1355 + 11.7231i 0.777218 + 0.564682i 0.904143 0.427230i \(-0.140511\pi\)
−0.126925 + 0.991912i \(0.540511\pi\)
\(432\) 0.606392 4.63215i 0.0291750 0.222864i
\(433\) −6.10893 4.43840i −0.293577 0.213296i 0.431241 0.902237i \(-0.358076\pi\)
−0.724817 + 0.688941i \(0.758076\pi\)
\(434\) −0.769609 0.854737i −0.0369424 0.0410287i
\(435\) −11.3648 21.2492i −0.544901 1.01882i
\(436\) 1.88938 2.09837i 0.0904847 0.100493i
\(437\) −18.1579 + 3.85958i −0.868611 + 0.184629i
\(438\) −3.25048 + 17.5619i −0.155314 + 0.839140i
\(439\) 17.1715 + 3.64991i 0.819551 + 0.174201i 0.598563 0.801076i \(-0.295739\pi\)
0.220988 + 0.975277i \(0.429072\pi\)
\(440\) 0.880622 + 0.145383i 0.0419820 + 0.00693087i
\(441\) −1.08785 + 20.9526i −0.0518022 + 0.997742i
\(442\) 5.66885 + 4.11866i 0.269639 + 0.195905i
\(443\) −15.3170 + 26.5299i −0.727734 + 1.26047i 0.230105 + 0.973166i \(0.426093\pi\)
−0.957839 + 0.287306i \(0.907240\pi\)
\(444\) 59.7205 36.6168i 2.83421 1.73776i
\(445\) 26.1848 + 17.2489i 1.24128 + 0.817679i
\(446\) −35.0664 15.6126i −1.66044 0.739277i
\(447\) −2.41226 10.0370i −0.114096 0.474735i
\(448\) 0.972716 + 0.206757i 0.0459565 + 0.00976836i
\(449\) −14.3285 −0.676205 −0.338102 0.941109i \(-0.609785\pi\)
−0.338102 + 0.941109i \(0.609785\pi\)
\(450\) −29.5485 + 18.6646i −1.39293 + 0.879857i
\(451\) 0.761242 0.0358455
\(452\) −39.6468 8.42720i −1.86483 0.396382i
\(453\) −26.3245 + 24.9932i −1.23683 + 1.17428i
\(454\) 48.8415 + 21.7456i 2.29224 + 1.02057i
\(455\) −0.0577736 0.153496i −0.00270847 0.00719602i
\(456\) −0.393800 14.9000i −0.0184414 0.697755i
\(457\) −2.41930 + 4.19035i −0.113170 + 0.196017i −0.917047 0.398780i \(-0.869434\pi\)
0.803877 + 0.594796i \(0.202767\pi\)
\(458\) −27.1464 19.7230i −1.26847 0.921596i
\(459\) 1.34967 + 16.9906i 0.0629974 + 0.793051i
\(460\) −25.3168 + 48.8943i −1.18040 + 2.27971i
\(461\) 9.18177 + 1.95165i 0.427638 + 0.0908972i 0.416702 0.909043i \(-0.363186\pi\)
0.0109354 + 0.999940i \(0.496519\pi\)
\(462\) −0.0364864 + 0.0129305i −0.00169750 + 0.000601582i
\(463\) 2.35193 0.499919i 0.109304 0.0232332i −0.152935 0.988236i \(-0.548873\pi\)
0.262239 + 0.965003i \(0.415539\pi\)
\(464\) 3.74306 4.15708i 0.173767 0.192988i
\(465\) −6.64312 22.9563i −0.308067 1.06457i
\(466\) −9.50306 10.5542i −0.440221 0.488915i
\(467\) −18.8087 13.6654i −0.870365 0.632357i 0.0603199 0.998179i \(-0.480788\pi\)
−0.930685 + 0.365822i \(0.880788\pi\)
\(468\) 6.67196 + 6.66546i 0.308411 + 0.308111i
\(469\) 0.548321 + 0.398378i 0.0253191 + 0.0183954i
\(470\) 10.7876 + 16.8516i 0.497595 + 0.777305i
\(471\) −0.0652916 0.271668i −0.00300848 0.0125178i
\(472\) 4.16272 + 1.85336i 0.191605 + 0.0853079i
\(473\) 0.983868 1.09270i 0.0452383 0.0502422i
\(474\) 3.30306 7.97978i 0.151714 0.366523i
\(475\) −9.71722 + 8.52208i −0.445857 + 0.391020i
\(476\) 0.899752 0.0412400
\(477\) 24.1474 1.27730i 1.10563 0.0584837i
\(478\) 9.84210 7.15070i 0.450167 0.327065i
\(479\) −2.50686 23.8511i −0.114541 1.08979i −0.889235 0.457450i \(-0.848763\pi\)
0.774694 0.632336i \(-0.217904\pi\)
\(480\) 13.9535 + 10.8471i 0.636889 + 0.495101i
\(481\) −1.13044 + 10.7554i −0.0515437 + 0.490406i
\(482\) −5.14180 8.90586i −0.234203 0.405651i
\(483\) −0.0262904 0.994732i −0.00119625 0.0452619i
\(484\) −25.2045 27.9924i −1.14566 1.27238i
\(485\) 19.1831 + 19.4355i 0.871058 + 0.882519i
\(486\) −2.80561 + 36.2122i −0.127265 + 1.64262i
\(487\) 0.662529 2.03906i 0.0300221 0.0923984i −0.934923 0.354851i \(-0.884531\pi\)
0.964945 + 0.262453i \(0.0845315\pi\)
\(488\) 22.3422 + 24.8135i 1.01138 + 1.12325i
\(489\) 6.17037 8.98263i 0.279034 0.406208i
\(490\) 30.4279 + 20.0441i 1.37459 + 0.905500i
\(491\) 13.2181 2.80960i 0.596526 0.126796i 0.100253 0.994962i \(-0.468035\pi\)
0.496273 + 0.868166i \(0.334701\pi\)
\(492\) −33.1406 17.9834i −1.49409 0.810756i
\(493\) −10.2044 + 17.6745i −0.459582 + 0.796020i
\(494\) 4.46742 + 3.24577i 0.200999 + 0.146034i
\(495\) −0.799387 0.0889110i −0.0359298 0.00399625i
\(496\) 4.48814 3.26082i 0.201523 0.146415i
\(497\) 0.0573050 + 0.545221i 0.00257048 + 0.0244565i
\(498\) 12.1218 + 0.951036i 0.543191 + 0.0426170i
\(499\) 6.61074 + 11.4501i 0.295937 + 0.512579i 0.975203 0.221314i \(-0.0710347\pi\)
−0.679265 + 0.733893i \(0.737701\pi\)
\(500\) 1.25533 + 38.3146i 0.0561400 + 1.71348i
\(501\) −10.4898 + 25.3420i −0.468649 + 1.13220i
\(502\) 49.8294 + 10.5916i 2.22399 + 0.472724i
\(503\) 11.6115 8.43628i 0.517733 0.376155i −0.298016 0.954561i \(-0.596325\pi\)
0.815749 + 0.578406i \(0.196325\pi\)
\(504\) 0.789199 + 0.124603i 0.0351537 + 0.00555026i
\(505\) −2.12890 14.0344i −0.0947347 0.624522i
\(506\) −1.83278 + 0.816007i −0.0814771 + 0.0362759i
\(507\) 20.8799 2.75406i 0.927307 0.122312i
\(508\) 1.23214 11.7230i 0.0546672 0.520124i
\(509\) 14.8920 3.16540i 0.660078 0.140304i 0.134320 0.990938i \(-0.457115\pi\)
0.525758 + 0.850634i \(0.323782\pi\)
\(510\) 26.6356 + 12.9109i 1.17945 + 0.571705i
\(511\) −0.346311 0.0736107i −0.0153199 0.00325635i
\(512\) −3.11762 + 9.59504i −0.137781 + 0.424045i
\(513\) 1.06363 + 13.3897i 0.0469605 + 0.591168i
\(514\) 11.6615 + 35.8904i 0.514367 + 1.58306i
\(515\) −15.3719 + 4.01140i −0.677368 + 0.176763i
\(516\) −68.6463 + 24.3277i −3.02198 + 1.07097i
\(517\) −0.0481324 + 0.457949i −0.00211686 + 0.0201406i
\(518\) 1.09934 + 1.90411i 0.0483021 + 0.0836617i
\(519\) 30.5524 + 16.5790i 1.34110 + 0.727736i
\(520\) 6.60383 1.72331i 0.289597 0.0755721i
\(521\) −20.5999 + 14.9667i −0.902500 + 0.655704i −0.939107 0.343625i \(-0.888345\pi\)
0.0366072 + 0.999330i \(0.488345\pi\)
\(522\) −27.3532 + 33.8121i −1.19722 + 1.47991i
\(523\) −12.3971 38.1544i −0.542088 1.66838i −0.727814 0.685775i \(-0.759464\pi\)
0.185726 0.982602i \(-0.440536\pi\)
\(524\) −10.8826 + 18.8492i −0.475409 + 0.823432i
\(525\) −0.354389 0.595320i −0.0154668 0.0259819i
\(526\) 31.2665 + 54.1552i 1.36329 + 2.36128i
\(527\) −13.5432 + 15.0412i −0.589950 + 0.655206i
\(528\) −0.0436312 0.181542i −0.00189880 0.00790061i
\(529\) −2.98661 28.4157i −0.129853 1.23547i
\(530\) 19.3093 37.2920i 0.838741 1.61986i
\(531\) −3.83423 1.46968i −0.166391 0.0637787i
\(532\) 0.709063 0.0307418
\(533\) 5.31772 2.36760i 0.230336 0.102552i
\(534\) 10.2992 55.6451i 0.445690 2.40800i
\(535\) 12.6767 10.1289i 0.548061 0.437911i
\(536\) −18.8722 + 20.9597i −0.815154 + 0.905320i
\(537\) −11.4470 + 4.05673i −0.493974 + 0.175061i
\(538\) 0.928902 + 1.03165i 0.0400478 + 0.0444776i
\(539\) 0.259122 + 0.797495i 0.0111612 + 0.0343505i
\(540\) 32.7008 + 22.7553i 1.40722 + 0.979233i
\(541\) 8.54221 26.2902i 0.367258 1.13030i −0.581297 0.813692i \(-0.697454\pi\)
0.948555 0.316613i \(-0.102546\pi\)
\(542\) 35.6986 15.8941i 1.53339 0.682708i
\(543\) −20.6015 26.8349i −0.884096 1.15160i
\(544\) 1.56462 14.8864i 0.0670826 0.638248i
\(545\) 0.648652 + 1.72338i 0.0277852 + 0.0738215i
\(546\) −0.214663 + 0.203807i −0.00918672 + 0.00872213i
\(547\) −0.948368 9.02311i −0.0405493 0.385801i −0.995909 0.0903569i \(-0.971199\pi\)
0.955360 0.295444i \(-0.0954674\pi\)
\(548\) 12.8199 + 39.4556i 0.547639 + 1.68546i
\(549\) −21.2867 21.2660i −0.908496 0.907611i
\(550\) −0.835736 + 1.11923i −0.0356359 + 0.0477240i
\(551\) −8.04171 + 13.9287i −0.342588 + 0.593381i
\(552\) 41.2818 + 3.23884i 1.75707 + 0.137854i
\(553\) 0.156401 + 0.0696340i 0.00665083 + 0.00296114i
\(554\) −39.0157 17.3709i −1.65762 0.738020i
\(555\) 3.29769 + 45.5650i 0.139979 + 1.93413i
\(556\) −34.6744 + 15.4380i −1.47052 + 0.654718i
\(557\) 14.0755 0.596397 0.298199 0.954504i \(-0.403614\pi\)
0.298199 + 0.954504i \(0.403614\pi\)
\(558\) −33.5060 + 27.1597i −1.41842 + 1.14976i
\(559\) 3.47441 10.6931i 0.146952 0.452272i
\(560\) 0.102028 0.124323i 0.00431146 0.00525362i
\(561\) 0.293413 + 0.614767i 0.0123879 + 0.0259555i
\(562\) −66.8916 + 14.2182i −2.82165 + 0.599760i
\(563\) 32.1147 6.82619i 1.35347 0.287690i 0.526617 0.850103i \(-0.323460\pi\)
0.826856 + 0.562413i \(0.190127\pi\)
\(564\) 12.9139 18.7997i 0.543775 0.791611i
\(565\) 16.7688 20.4332i 0.705467 0.859630i
\(566\) −17.9421 + 55.2202i −0.754164 + 2.32108i
\(567\) −0.716127 0.0745629i −0.0300745 0.00313135i
\(568\) −22.8135 −0.957233
\(569\) 3.74547 1.66759i 0.157018 0.0699091i −0.326723 0.945120i \(-0.605944\pi\)
0.483741 + 0.875211i \(0.339278\pi\)
\(570\) 20.9906 + 10.1746i 0.879200 + 0.426169i
\(571\) −30.4423 13.5538i −1.27397 0.567209i −0.345433 0.938443i \(-0.612268\pi\)
−0.928539 + 0.371235i \(0.878935\pi\)
\(572\) 0.344339 + 0.153310i 0.0143975 + 0.00641020i
\(573\) −9.33679 19.5627i −0.390050 0.817245i
\(574\) 0.591715 1.02488i 0.0246977 0.0427777i
\(575\) −20.7240 29.3227i −0.864252 1.22284i
\(576\) 9.63430 36.0258i 0.401429 1.50108i
\(577\) 12.2872 + 37.8160i 0.511522 + 1.57430i 0.789523 + 0.613721i \(0.210328\pi\)
−0.278001 + 0.960581i \(0.589672\pi\)
\(578\) 1.51992 + 14.4611i 0.0632204 + 0.601502i
\(579\) −1.82916 7.61083i −0.0760172 0.316295i
\(580\) 16.8040 + 44.6460i 0.697749 + 1.85382i
\(581\) −0.0251948 + 0.239712i −0.00104526 + 0.00994495i
\(582\) 18.8496 45.5383i 0.781340 1.88762i
\(583\) 0.882890 0.393088i 0.0365656 0.0162800i
\(584\) 4.55280 14.0121i 0.188396 0.579824i
\(585\) −5.86072 + 1.86515i −0.242311 + 0.0771143i
\(586\) 17.7816 + 54.7261i 0.734550 + 2.26071i
\(587\) 2.62542 + 2.91582i 0.108363 + 0.120349i 0.794886 0.606759i \(-0.207531\pi\)
−0.686523 + 0.727108i \(0.740864\pi\)
\(588\) 7.55902 40.8403i 0.311729 1.68423i
\(589\) −10.6729 + 11.8535i −0.439769 + 0.488413i
\(590\) −5.57118 + 4.45148i −0.229362 + 0.183264i
\(591\) 11.3986 4.03957i 0.468874 0.166166i
\(592\) −9.68815 + 4.31344i −0.398180 + 0.177281i
\(593\) 5.32290 0.218585 0.109293 0.994010i \(-0.465141\pi\)
0.109293 + 0.994010i \(0.465141\pi\)
\(594\) 0.413300 + 1.39155i 0.0169579 + 0.0570958i
\(595\) −0.269798 + 0.521061i −0.0110606 + 0.0213614i
\(596\) 2.13607 + 20.3233i 0.0874968 + 0.832476i
\(597\) −9.36333 2.77107i −0.383216 0.113412i
\(598\) −10.2651 + 11.4006i −0.419772 + 0.466204i
\(599\) 13.4381 + 23.2754i 0.549064 + 0.951007i 0.998339 + 0.0576132i \(0.0183490\pi\)
−0.449275 + 0.893394i \(0.648318\pi\)
\(600\) 26.1791 12.0771i 1.06876 0.493044i
\(601\) 10.8178 18.7369i 0.441266 0.764294i −0.556518 0.830835i \(-0.687863\pi\)
0.997784 + 0.0665411i \(0.0211963\pi\)
\(602\) −0.706364 2.17397i −0.0287893 0.0886042i
\(603\) 15.9853 19.7598i 0.650970 0.804682i
\(604\) 58.1350 42.2376i 2.36548 1.71862i
\(605\) 23.7686 6.20257i 0.966332 0.252170i
\(606\) −21.8405 + 13.3912i −0.887209 + 0.543979i
\(607\) −4.31032 7.46569i −0.174950 0.303023i 0.765194 0.643800i \(-0.222643\pi\)
−0.940144 + 0.340777i \(0.889310\pi\)
\(608\) 1.23302 11.7314i 0.0500057 0.475772i
\(609\) −0.655708 0.559751i −0.0265706 0.0226823i
\(610\) −50.5618 + 13.1944i −2.04719 + 0.534226i
\(611\) 1.08807 + 3.34874i 0.0440187 + 0.135476i
\(612\) 1.74945 33.6954i 0.0707171 1.36205i
\(613\) −14.3490 + 44.1615i −0.579549 + 1.78367i 0.0405907 + 0.999176i \(0.487076\pi\)
−0.620139 + 0.784492i \(0.712924\pi\)
\(614\) 5.15221 + 1.09514i 0.207926 + 0.0441961i
\(615\) 20.3520 13.7998i 0.820672 0.556461i
\(616\) 0.0312347 0.00663914i 0.00125848 0.000267498i
\(617\) 1.91480 18.2181i 0.0770869 0.733433i −0.885899 0.463879i \(-0.846457\pi\)
0.962985 0.269553i \(-0.0868761\pi\)
\(618\) 17.4601 + 22.7429i 0.702347 + 0.914855i
\(619\) −10.5904 + 4.71516i −0.425665 + 0.189518i −0.608377 0.793648i \(-0.708179\pi\)
0.182712 + 0.983167i \(0.441513\pi\)
\(620\) 7.09522 + 46.7741i 0.284951 + 1.87849i
\(621\) −37.3035 0.949558i −1.49694 0.0381044i
\(622\) 0.578552 0.420343i 0.0231978 0.0168542i
\(623\) 1.09729 + 0.233237i 0.0439621 + 0.00934443i
\(624\) −0.869420 1.13248i −0.0348046 0.0453354i
\(625\) −22.5650 10.7620i −0.902601 0.430478i
\(626\) 1.47612 + 2.55671i 0.0589976 + 0.102187i
\(627\) 0.231228 + 0.484476i 0.00923436 + 0.0193481i
\(628\) 0.0578159 + 0.550082i 0.00230711 + 0.0219507i
\(629\) 31.3018 22.7421i 1.24808 0.906787i
\(630\) −0.741069 + 1.00713i −0.0295249 + 0.0401249i
\(631\) −4.86948 3.53788i −0.193851 0.140841i 0.486626 0.873610i \(-0.338227\pi\)
−0.680477 + 0.732769i \(0.738227\pi\)
\(632\) −3.56215 + 6.16982i −0.141695 + 0.245422i
\(633\) −13.5647 + 8.31702i −0.539149 + 0.330572i
\(634\) 9.84623 2.09288i 0.391044 0.0831189i
\(635\) 6.41951 + 4.22879i 0.254751 + 0.167814i
\(636\) −47.7228 3.74418i −1.89233 0.148466i
\(637\) 4.29047 + 4.76505i 0.169995 + 0.188798i
\(638\) −0.537131 + 1.65312i −0.0212652 + 0.0654476i
\(639\) 20.5297 1.08594i 0.812144 0.0429593i
\(640\) −31.1584 31.5684i −1.23164 1.24785i
\(641\) −1.23699 1.37381i −0.0488580 0.0542623i 0.718220 0.695816i \(-0.244957\pi\)
−0.767078 + 0.641553i \(0.778290\pi\)
\(642\) −25.7397 13.9674i −1.01586 0.551249i
\(643\) −1.14078 1.97588i −0.0449878 0.0779212i 0.842655 0.538454i \(-0.180992\pi\)
−0.887643 + 0.460533i \(0.847658\pi\)
\(644\) −0.205908 + 1.95909i −0.00811392 + 0.0771988i
\(645\) 6.49557 47.0491i 0.255763 1.85256i
\(646\) −2.06505 19.6477i −0.0812485 0.773028i
\(647\) 21.2655 15.4503i 0.836034 0.607414i −0.0852263 0.996362i \(-0.527161\pi\)
0.921260 + 0.388948i \(0.127161\pi\)
\(648\) 6.20083 29.3130i 0.243591 1.15152i
\(649\) −0.164114 −0.00644203
\(650\) −2.35710 + 10.4178i −0.0924531 + 0.408618i
\(651\) −0.520658 0.678193i −0.0204062 0.0265805i
\(652\) −14.4354 + 16.0321i −0.565334 + 0.627867i
\(653\) −15.4993 6.90073i −0.606535 0.270047i 0.0804036 0.996762i \(-0.474379\pi\)
−0.686938 + 0.726716i \(0.741046\pi\)
\(654\) 2.41013 2.28824i 0.0942434 0.0894773i
\(655\) −7.65266 11.9544i −0.299014 0.467097i
\(656\) 4.61796 + 3.35514i 0.180301 + 0.130996i
\(657\) −3.43005 + 12.8261i −0.133819 + 0.500394i
\(658\) 0.579136 + 0.420767i 0.0225771 + 0.0164032i
\(659\) 3.26005 + 3.62065i 0.126993 + 0.141040i 0.803288 0.595591i \(-0.203082\pi\)
−0.676295 + 0.736631i \(0.736415\pi\)
\(660\) 1.54588 + 0.381436i 0.0601731 + 0.0148474i
\(661\) −3.50644 + 3.89429i −0.136385 + 0.151470i −0.807468 0.589911i \(-0.799163\pi\)
0.671083 + 0.741382i \(0.265829\pi\)
\(662\) 40.3934 8.58588i 1.56993 0.333700i
\(663\) 3.96170 + 3.38194i 0.153860 + 0.131344i
\(664\) −9.81103 2.08540i −0.380742 0.0809291i
\(665\) −0.212618 + 0.410630i −0.00824498 + 0.0159235i
\(666\) 73.4457 37.4675i 2.84596 1.45184i
\(667\) −36.1485 26.2634i −1.39968 1.01692i
\(668\) 27.1477 47.0212i 1.05038 1.81931i
\(669\) −25.0799 13.6094i −0.969646 0.526169i
\(670\) −15.5484 41.3100i −0.600688 1.59595i
\(671\) −1.09861 0.489131i −0.0424112 0.0188827i
\(672\) 0.606319 + 0.179439i 0.0233892 + 0.00692202i
\(673\) 6.92100 + 1.47110i 0.266785 + 0.0567069i 0.339362 0.940656i \(-0.389789\pi\)
−0.0725769 + 0.997363i \(0.523122\pi\)
\(674\) −43.3507 −1.66981
\(675\) −22.9836 + 12.1142i −0.884639 + 0.466277i
\(676\) −41.6922 −1.60354
\(677\) 27.5562 + 5.85726i 1.05907 + 0.225113i 0.704346 0.709857i \(-0.251241\pi\)
0.354727 + 0.934970i \(0.384574\pi\)
\(678\) −45.7449 13.5381i −1.75682 0.519929i
\(679\) 0.892533 + 0.397381i 0.0342523 + 0.0152501i
\(680\) −20.3908 13.4322i −0.781952 0.515103i
\(681\) 34.9320 + 18.9555i 1.33860 + 0.726376i
\(682\) −0.861908 + 1.49287i −0.0330042 + 0.0571649i
\(683\) 19.5504 + 14.2042i 0.748075 + 0.543508i 0.895230 0.445605i \(-0.147012\pi\)
−0.147155 + 0.989113i \(0.547012\pi\)
\(684\) 1.37868 26.5541i 0.0527150 1.01532i
\(685\) −26.6935 4.40687i −1.01991 0.168378i
\(686\) 2.55138 + 0.542312i 0.0974121 + 0.0207056i
\(687\) −18.9714 16.1951i −0.723804 0.617882i
\(688\) 10.7845 2.29232i 0.411155 0.0873938i
\(689\) 4.94493 5.49191i 0.188387 0.209225i
\(690\) −34.2073 + 55.0408i −1.30225 + 2.09537i
\(691\) 14.2462 + 15.8220i 0.541952 + 0.601898i 0.950456 0.310858i \(-0.100616\pi\)
−0.408505 + 0.912756i \(0.633950\pi\)
\(692\) −55.6709 40.4473i −2.11629 1.53757i
\(693\) −0.0277919 + 0.00746132i −0.00105573 + 0.000283432i
\(694\) −7.08640 5.14857i −0.268996 0.195437i
\(695\) 1.45698 24.7097i 0.0552665 0.937293i
\(696\) 26.0178 24.7020i 0.986202 0.936327i
\(697\) −19.0250 8.47046i −0.720622 0.320841i
\(698\) 27.0643 30.0579i 1.02440 1.13771i
\(699\) −6.42904 8.37427i −0.243169 0.316744i
\(700\) 0.541420 + 1.26013i 0.0204638 + 0.0476283i
\(701\) 46.9741 1.77419 0.887095 0.461588i \(-0.152720\pi\)
0.887095 + 0.461588i \(0.152720\pi\)
\(702\) 7.21511 + 8.43532i 0.272317 + 0.318371i
\(703\) 24.6679 17.9222i 0.930366 0.675950i
\(704\) −0.155793 1.48227i −0.00587167 0.0558652i
\(705\) 7.01487 + 13.1159i 0.264195 + 0.493974i
\(706\) 5.50233 52.3512i 0.207083 1.97026i
\(707\) −0.253926 0.439813i −0.00954988 0.0165409i
\(708\) 7.14468 + 3.87699i 0.268513 + 0.145706i
\(709\) −16.1094 17.8913i −0.605002 0.671923i 0.360367 0.932811i \(-0.382651\pi\)
−0.965369 + 0.260888i \(0.915985\pi\)
\(710\) 16.4164 31.7051i 0.616098 1.18987i
\(711\) 2.91187 5.72175i 0.109204 0.214582i
\(712\) −14.4256 + 44.3975i −0.540623 + 1.66387i
\(713\) −29.6509 32.9306i −1.11043 1.23326i
\(714\) 1.05575 + 0.0828306i 0.0395104 + 0.00309986i
\(715\) −0.192037 + 0.153441i −0.00718178 + 0.00573838i
\(716\) 23.5163 4.99854i 0.878844 0.186804i
\(717\) 7.70974 4.72712i 0.287925 0.176537i
\(718\) −18.4528 + 31.9612i −0.688652 + 1.19278i
\(719\) 19.5095 + 14.1745i 0.727582 + 0.528619i 0.888798 0.458300i \(-0.151541\pi\)
−0.161216 + 0.986919i \(0.551541\pi\)
\(720\) −4.45749 4.06263i −0.166121 0.151405i
\(721\) −0.459828 + 0.334085i −0.0171249 + 0.0124420i
\(722\) 3.00004 + 28.5434i 0.111650 + 1.06228i
\(723\) −3.29276 6.89909i −0.122459 0.256580i
\(724\) 33.4862 + 57.9998i 1.24451 + 2.15555i
\(725\) −30.8941 3.65599i −1.14738 0.135780i
\(726\) −26.9974 35.1660i −1.00197 1.30513i
\(727\) −24.4031 5.18703i −0.905060 0.192376i −0.268207 0.963361i \(-0.586431\pi\)
−0.636853 + 0.770985i \(0.719764\pi\)
\(728\) 0.197544 0.143524i 0.00732146 0.00531935i
\(729\) −4.18477 + 26.6737i −0.154991 + 0.987916i
\(730\) 16.1971 + 16.4102i 0.599482 + 0.607370i
\(731\) −36.7474 + 16.3610i −1.35915 + 0.605134i
\(732\) 36.2726 + 47.2476i 1.34067 + 1.74632i
\(733\) 3.49195 33.2237i 0.128978 1.22715i −0.718200 0.695837i \(-0.755034\pi\)
0.847178 0.531309i \(-0.178300\pi\)
\(734\) 44.4669 9.45173i 1.64130 0.348870i
\(735\) 21.3847 + 16.6239i 0.788785 + 0.613180i
\(736\) 32.0550 + 6.81349i 1.18156 + 0.251149i
\(737\) 0.313900 0.966084i 0.0115626 0.0355862i
\(738\) −37.2309 24.1523i −1.37049 0.889058i
\(739\) 6.22346 + 19.1538i 0.228934 + 0.704586i 0.997868 + 0.0652583i \(0.0207871\pi\)
−0.768935 + 0.639327i \(0.779213\pi\)
\(740\) 5.32330 90.2804i 0.195688 3.31877i
\(741\) 3.12208 + 2.66519i 0.114692 + 0.0979082i
\(742\) 0.157048 1.49421i 0.00576540 0.0548541i
\(743\) 7.12565 + 12.3420i 0.261415 + 0.452784i 0.966618 0.256222i \(-0.0824777\pi\)
−0.705203 + 0.709005i \(0.749144\pi\)
\(744\) 30.3321 18.5977i 1.11203 0.681825i
\(745\) −12.4101 4.85709i −0.454671 0.177950i
\(746\) −42.2873 + 30.7235i −1.54825 + 1.12487i
\(747\) 8.92816 + 1.40962i 0.326664 + 0.0515755i
\(748\) −0.416713 1.28251i −0.0152365 0.0468932i
\(749\) 0.290264 0.502752i 0.0106060 0.0183702i
\(750\) −2.05424 + 45.0730i −0.0750103 + 1.64584i
\(751\) −7.92393 13.7247i −0.289148 0.500820i 0.684458 0.729052i \(-0.260039\pi\)
−0.973607 + 0.228232i \(0.926705\pi\)
\(752\) −2.31038 + 2.56594i −0.0842509 + 0.0935701i
\(753\) 36.3127 + 10.7467i 1.32331 + 0.391631i
\(754\) 1.38933 + 13.2186i 0.0505964 + 0.481392i
\(755\) 7.02820 + 46.3322i 0.255782 + 1.68620i
\(756\) 1.38618 + 0.331722i 0.0504150 + 0.0120646i
\(757\) 20.8659 0.758385 0.379192 0.925318i \(-0.376202\pi\)
0.379192 + 0.925318i \(0.376202\pi\)
\(758\) 76.0873 33.8762i 2.76361 1.23044i
\(759\) −1.40572 + 0.498176i −0.0510244 + 0.0180827i
\(760\) −16.0693 10.5855i −0.582894 0.383975i
\(761\) 13.7889 15.3142i 0.499849 0.555138i −0.439437 0.898273i \(-0.644822\pi\)
0.939286 + 0.343135i \(0.111489\pi\)
\(762\) 2.52497 13.6421i 0.0914702 0.494200i
\(763\) 0.0440824 + 0.0489585i 0.00159589 + 0.00177242i
\(764\) 13.2604 + 40.8112i 0.479743 + 1.47650i
\(765\) 18.9890 + 11.1170i 0.686547 + 0.401935i
\(766\) 26.0434 80.1532i 0.940985 2.89605i
\(767\) −1.14643 + 0.510424i −0.0413952 + 0.0184303i
\(768\) −14.1477 + 34.1792i −0.510513 + 1.23334i
\(769\) −0.706683 + 6.72364i −0.0254837 + 0.242461i 0.974364 + 0.224979i \(0.0722315\pi\)
−0.999847 + 0.0174814i \(0.994435\pi\)
\(770\) −0.0132495 + 0.0481859i −0.000477479 + 0.00173650i