Properties

Label 138.2.f.a.5.1
Level $138$
Weight $2$
Character 138.5
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 5.1
Character \(\chi\) \(=\) 138.5
Dual form 138.2.f.a.83.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.281733 + 0.959493i) q^{2} +(-1.72467 + 0.159749i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.591943 - 4.11706i) q^{5} +(0.332618 - 1.69981i) q^{6} +(0.656690 - 0.299900i) q^{7} +(0.755750 - 0.654861i) q^{8} +(2.94896 - 0.551026i) q^{9} +O(q^{10})\) \(q+(-0.281733 + 0.959493i) q^{2} +(-1.72467 + 0.159749i) q^{3} +(-0.841254 - 0.540641i) q^{4} +(0.591943 - 4.11706i) q^{5} +(0.332618 - 1.69981i) q^{6} +(0.656690 - 0.299900i) q^{7} +(0.755750 - 0.654861i) q^{8} +(2.94896 - 0.551026i) q^{9} +(3.78352 + 1.72787i) q^{10} +(-2.11016 + 0.619599i) q^{11} +(1.53725 + 0.798037i) q^{12} +(1.65446 - 3.62275i) q^{13} +(0.102741 + 0.714581i) q^{14} +(-0.363212 + 7.19512i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-1.67303 + 1.07519i) q^{17} +(-0.302112 + 2.98475i) q^{18} +(2.25954 - 3.51591i) q^{19} +(-2.72382 + 3.14346i) q^{20} +(-1.08466 + 0.622134i) q^{21} -2.19925i q^{22} +(-1.97129 - 4.37196i) q^{23} +(-1.19880 + 1.25015i) q^{24} +(-11.8023 - 3.46547i) q^{25} +(3.00989 + 2.60809i) q^{26} +(-4.99795 + 1.42143i) q^{27} +(-0.714581 - 0.102741i) q^{28} +(2.17993 + 3.39204i) q^{29} +(-6.80134 - 2.37560i) q^{30} +(6.72079 + 7.75621i) q^{31} +(-0.989821 + 0.142315i) q^{32} +(3.54035 - 1.40570i) q^{33} +(-0.560292 - 1.90818i) q^{34} +(-0.845983 - 2.88115i) q^{35} +(-2.77873 - 1.13078i) q^{36} +(-1.56573 + 0.225118i) q^{37} +(2.73690 + 3.15855i) q^{38} +(-2.27466 + 6.51234i) q^{39} +(-2.24874 - 3.49910i) q^{40} +(7.04547 + 1.01299i) q^{41} +(-0.291348 - 1.21600i) q^{42} +(0.146984 + 0.127363i) q^{43} +(2.11016 + 0.619599i) q^{44} +(-0.522990 - 12.4672i) q^{45} +(4.75024 - 0.659712i) q^{46} +8.32990i q^{47} +(-0.861765 - 1.50245i) q^{48} +(-4.24272 + 4.89636i) q^{49} +(6.65018 - 10.3479i) q^{50} +(2.71367 - 2.12162i) q^{51} +(-3.35042 + 2.15319i) q^{52} +(1.52719 + 3.34409i) q^{53} +(0.0442340 - 5.19596i) q^{54} +(1.30183 + 9.05442i) q^{55} +(0.299900 - 0.656690i) q^{56} +(-3.33529 + 6.42473i) q^{57} +(-3.86880 + 1.13598i) q^{58} +(-0.0270675 - 0.0123613i) q^{59} +(4.19553 - 5.85655i) q^{60} +(8.55934 - 7.41671i) q^{61} +(-9.33549 + 4.26338i) q^{62} +(1.77130 - 1.24625i) q^{63} +(0.142315 - 0.989821i) q^{64} +(-13.9357 - 8.95595i) q^{65} +(0.351326 + 3.79297i) q^{66} +(1.78438 - 6.07703i) q^{67} +1.98874 q^{68} +(4.09823 + 7.22527i) q^{69} +3.00279 q^{70} +(1.83181 - 6.23857i) q^{71} +(1.86783 - 2.34760i) q^{72} +(3.72319 + 2.39275i) q^{73} +(0.225118 - 1.56573i) q^{74} +(20.9087 + 4.09138i) q^{75} +(-3.80168 + 1.73617i) q^{76} +(-1.19990 + 1.03972i) q^{77} +(-5.60770 - 4.01726i) q^{78} +(4.07232 + 1.85977i) q^{79} +(3.99091 - 1.17184i) q^{80} +(8.39274 - 3.24991i) q^{81} +(-2.95689 + 6.47469i) q^{82} +(0.309844 + 2.15501i) q^{83} +(1.24883 + 0.0630413i) q^{84} +(3.43629 + 7.52443i) q^{85} +(-0.163614 + 0.105148i) q^{86} +(-4.30154 - 5.50191i) q^{87} +(-1.18900 + 1.85012i) q^{88} +(0.817699 - 0.943675i) q^{89} +(12.1095 + 3.01062i) q^{90} -2.87520i q^{91} +(-0.705309 + 4.74368i) q^{92} +(-12.8302 - 12.3032i) q^{93} +(-7.99248 - 2.34680i) q^{94} +(-13.1377 - 11.3839i) q^{95} +(1.68438 - 0.403568i) q^{96} +(-12.7924 - 1.83926i) q^{97} +(-3.50271 - 5.45033i) q^{98} +(-5.88137 + 2.98993i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.281733 + 0.959493i −0.199215 + 0.678464i
\(3\) −1.72467 + 0.159749i −0.995738 + 0.0922309i
\(4\) −0.841254 0.540641i −0.420627 0.270320i
\(5\) 0.591943 4.11706i 0.264725 1.84120i −0.231284 0.972886i \(-0.574293\pi\)
0.496009 0.868318i \(-0.334798\pi\)
\(6\) 0.332618 1.69981i 0.135791 0.693946i
\(7\) 0.656690 0.299900i 0.248205 0.113352i −0.287428 0.957802i \(-0.592800\pi\)
0.535633 + 0.844451i \(0.320073\pi\)
\(8\) 0.755750 0.654861i 0.267198 0.231528i
\(9\) 2.94896 0.551026i 0.982987 0.183675i
\(10\) 3.78352 + 1.72787i 1.19645 + 0.546402i
\(11\) −2.11016 + 0.619599i −0.636237 + 0.186816i −0.583916 0.811814i \(-0.698480\pi\)
−0.0523215 + 0.998630i \(0.516662\pi\)
\(12\) 1.53725 + 0.798037i 0.443766 + 0.230373i
\(13\) 1.65446 3.62275i 0.458863 1.00477i −0.528882 0.848695i \(-0.677389\pi\)
0.987745 0.156075i \(-0.0498842\pi\)
\(14\) 0.102741 + 0.714581i 0.0274588 + 0.190980i
\(15\) −0.363212 + 7.19512i −0.0937810 + 1.85777i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −1.67303 + 1.07519i −0.405770 + 0.260773i −0.727568 0.686036i \(-0.759349\pi\)
0.321798 + 0.946808i \(0.395713\pi\)
\(18\) −0.302112 + 2.98475i −0.0712085 + 0.703512i
\(19\) 2.25954 3.51591i 0.518373 0.806604i −0.479092 0.877765i \(-0.659034\pi\)
0.997465 + 0.0711606i \(0.0226703\pi\)
\(20\) −2.72382 + 3.14346i −0.609065 + 0.702899i
\(21\) −1.08466 + 0.622134i −0.236693 + 0.135761i
\(22\) 2.19925i 0.468881i
\(23\) −1.97129 4.37196i −0.411042 0.911617i
\(24\) −1.19880 + 1.25015i −0.244705 + 0.255185i
\(25\) −11.8023 3.46547i −2.36046 0.693093i
\(26\) 3.00989 + 2.60809i 0.590288 + 0.511488i
\(27\) −4.99795 + 1.42143i −0.961857 + 0.273554i
\(28\) −0.714581 0.102741i −0.135043 0.0194163i
\(29\) 2.17993 + 3.39204i 0.404804 + 0.629887i 0.982478 0.186381i \(-0.0596759\pi\)
−0.577674 + 0.816268i \(0.696039\pi\)
\(30\) −6.80134 2.37560i −1.24175 0.433723i
\(31\) 6.72079 + 7.75621i 1.20709 + 1.39306i 0.896813 + 0.442410i \(0.145876\pi\)
0.310277 + 0.950646i \(0.399578\pi\)
\(32\) −0.989821 + 0.142315i −0.174977 + 0.0251579i
\(33\) 3.54035 1.40570i 0.616295 0.244701i
\(34\) −0.560292 1.90818i −0.0960894 0.327250i
\(35\) −0.845983 2.88115i −0.142997 0.487004i
\(36\) −2.77873 1.13078i −0.463122 0.188463i
\(37\) −1.56573 + 0.225118i −0.257405 + 0.0370092i −0.269809 0.962914i \(-0.586961\pi\)
0.0124043 + 0.999923i \(0.496051\pi\)
\(38\) 2.73690 + 3.15855i 0.443984 + 0.512385i
\(39\) −2.27466 + 6.51234i −0.364237 + 1.04281i
\(40\) −2.24874 3.49910i −0.355557 0.553257i
\(41\) 7.04547 + 1.01299i 1.10032 + 0.158202i 0.668466 0.743743i \(-0.266951\pi\)
0.431852 + 0.901944i \(0.357860\pi\)
\(42\) −0.291348 1.21600i −0.0449560 0.187633i
\(43\) 0.146984 + 0.127363i 0.0224149 + 0.0194226i 0.665996 0.745955i \(-0.268007\pi\)
−0.643581 + 0.765378i \(0.722552\pi\)
\(44\) 2.11016 + 0.619599i 0.318119 + 0.0934081i
\(45\) −0.522990 12.4672i −0.0779627 1.85850i
\(46\) 4.75024 0.659712i 0.700385 0.0972692i
\(47\) 8.32990i 1.21504i 0.794304 + 0.607520i \(0.207836\pi\)
−0.794304 + 0.607520i \(0.792164\pi\)
\(48\) −0.861765 1.50245i −0.124385 0.216860i
\(49\) −4.24272 + 4.89636i −0.606103 + 0.699481i
\(50\) 6.65018 10.3479i 0.940478 1.46341i
\(51\) 2.71367 2.12162i 0.379989 0.297086i
\(52\) −3.35042 + 2.15319i −0.464620 + 0.298593i
\(53\) 1.52719 + 3.34409i 0.209776 + 0.459346i 0.985048 0.172282i \(-0.0551141\pi\)
−0.775271 + 0.631628i \(0.782387\pi\)
\(54\) 0.0442340 5.19596i 0.00601948 0.707081i
\(55\) 1.30183 + 9.05442i 0.175539 + 1.22090i
\(56\) 0.299900 0.656690i 0.0400759 0.0877539i
\(57\) −3.33529 + 6.42473i −0.441770 + 0.850976i
\(58\) −3.86880 + 1.13598i −0.507998 + 0.149162i
\(59\) −0.0270675 0.0123613i −0.00352389 0.00160931i 0.413652 0.910435i \(-0.364253\pi\)
−0.417176 + 0.908826i \(0.636980\pi\)
\(60\) 4.19553 5.85655i 0.541640 0.756078i
\(61\) 8.55934 7.41671i 1.09591 0.949613i 0.0969550 0.995289i \(-0.469090\pi\)
0.998956 + 0.0456762i \(0.0145443\pi\)
\(62\) −9.33549 + 4.26338i −1.18561 + 0.541449i
\(63\) 1.77130 1.24625i 0.223163 0.157012i
\(64\) 0.142315 0.989821i 0.0177894 0.123728i
\(65\) −13.9357 8.95595i −1.72851 1.11085i
\(66\) 0.351326 + 3.79297i 0.0432453 + 0.466882i
\(67\) 1.78438 6.07703i 0.217996 0.742427i −0.775777 0.631007i \(-0.782642\pi\)
0.993773 0.111420i \(-0.0355399\pi\)
\(68\) 1.98874 0.241170
\(69\) 4.09823 + 7.22527i 0.493369 + 0.869820i
\(70\) 3.00279 0.358902
\(71\) 1.83181 6.23857i 0.217396 0.740381i −0.776506 0.630110i \(-0.783010\pi\)
0.993902 0.110271i \(-0.0351720\pi\)
\(72\) 1.86783 2.34760i 0.220126 0.276667i
\(73\) 3.72319 + 2.39275i 0.435767 + 0.280050i 0.740076 0.672523i \(-0.234789\pi\)
−0.304310 + 0.952573i \(0.598426\pi\)
\(74\) 0.225118 1.56573i 0.0261695 0.182013i
\(75\) 20.9087 + 4.09138i 2.41432 + 0.472432i
\(76\) −3.80168 + 1.73617i −0.436083 + 0.199152i
\(77\) −1.19990 + 1.03972i −0.136742 + 0.118487i
\(78\) −5.60770 4.01726i −0.634947 0.454865i
\(79\) 4.07232 + 1.85977i 0.458172 + 0.209240i 0.631111 0.775692i \(-0.282599\pi\)
−0.172939 + 0.984933i \(0.555326\pi\)
\(80\) 3.99091 1.17184i 0.446197 0.131015i
\(81\) 8.39274 3.24991i 0.932527 0.361101i
\(82\) −2.95689 + 6.47469i −0.326534 + 0.715010i
\(83\) 0.309844 + 2.15501i 0.0340098 + 0.236544i 0.999735 0.0230234i \(-0.00732924\pi\)
−0.965725 + 0.259567i \(0.916420\pi\)
\(84\) 1.24883 + 0.0630413i 0.136258 + 0.00687837i
\(85\) 3.43629 + 7.52443i 0.372718 + 0.816139i
\(86\) −0.163614 + 0.105148i −0.0176429 + 0.0113384i
\(87\) −4.30154 5.50191i −0.461173 0.589866i
\(88\) −1.18900 + 1.85012i −0.126748 + 0.197224i
\(89\) 0.817699 0.943675i 0.0866759 0.100029i −0.710755 0.703440i \(-0.751646\pi\)
0.797431 + 0.603410i \(0.206192\pi\)
\(90\) 12.1095 + 3.01062i 1.27646 + 0.317347i
\(91\) 2.87520i 0.301402i
\(92\) −0.705309 + 4.74368i −0.0735335 + 0.494563i
\(93\) −12.8302 12.3032i −1.33043 1.27579i
\(94\) −7.99248 2.34680i −0.824361 0.242054i
\(95\) −13.1377 11.3839i −1.34790 1.16796i
\(96\) 1.68438 0.403568i 0.171911 0.0411890i
\(97\) −12.7924 1.83926i −1.29887 0.186749i −0.542034 0.840357i \(-0.682346\pi\)
−0.756834 + 0.653608i \(0.773255\pi\)
\(98\) −3.50271 5.45033i −0.353827 0.550566i
\(99\) −5.88137 + 2.98993i −0.591099 + 0.300499i
\(100\) 8.05515 + 9.29614i 0.805515 + 0.929614i
\(101\) 13.1575 1.89177i 1.30922 0.188238i 0.547864 0.836567i \(-0.315441\pi\)
0.761360 + 0.648329i \(0.224532\pi\)
\(102\) 1.27115 + 3.20147i 0.125862 + 0.316993i
\(103\) −3.32884 11.3370i −0.328000 1.11707i −0.944172 0.329453i \(-0.893136\pi\)
0.616172 0.787612i \(-0.288683\pi\)
\(104\) −1.12204 3.82133i −0.110025 0.374712i
\(105\) 1.91930 + 4.83389i 0.187305 + 0.471739i
\(106\) −3.63889 + 0.523194i −0.353440 + 0.0508171i
\(107\) −0.439642 0.507374i −0.0425018 0.0490497i 0.734101 0.679041i \(-0.237604\pi\)
−0.776602 + 0.629991i \(0.783059\pi\)
\(108\) 4.97303 + 1.50631i 0.478530 + 0.144945i
\(109\) 5.20638 + 8.10129i 0.498681 + 0.775963i 0.995784 0.0917289i \(-0.0292393\pi\)
−0.497103 + 0.867691i \(0.665603\pi\)
\(110\) −9.05442 1.30183i −0.863305 0.124125i
\(111\) 2.66440 0.638378i 0.252894 0.0605921i
\(112\) 0.545598 + 0.472763i 0.0515541 + 0.0446719i
\(113\) 14.2038 + 4.17060i 1.33618 + 0.392337i 0.870305 0.492514i \(-0.163922\pi\)
0.465874 + 0.884851i \(0.345740\pi\)
\(114\) −5.22482 5.01024i −0.489349 0.469252i
\(115\) −19.1665 + 5.52794i −1.78729 + 0.515483i
\(116\) 4.03213i 0.374374i
\(117\) 2.88269 11.5950i 0.266505 1.07196i
\(118\) 0.0194864 0.0224885i 0.00179387 0.00207024i
\(119\) −0.776214 + 1.20781i −0.0711554 + 0.110720i
\(120\) 4.43730 + 5.67556i 0.405069 + 0.518106i
\(121\) −5.18491 + 3.33214i −0.471356 + 0.302922i
\(122\) 4.70484 + 10.3022i 0.425956 + 0.932713i
\(123\) −12.3129 0.621561i −1.11022 0.0560443i
\(124\) −1.46057 10.1585i −0.131163 0.912258i
\(125\) −12.6144 + 27.6218i −1.12827 + 2.47057i
\(126\) 0.696733 + 2.05066i 0.0620699 + 0.182687i
\(127\) −14.2195 + 4.17523i −1.26178 + 0.370491i −0.843156 0.537669i \(-0.819305\pi\)
−0.418622 + 0.908161i \(0.637487\pi\)
\(128\) 0.909632 + 0.415415i 0.0804009 + 0.0367178i
\(129\) −0.273845 0.196178i −0.0241107 0.0172725i
\(130\) 12.5193 10.8481i 1.09802 0.951437i
\(131\) −4.70731 + 2.14976i −0.411280 + 0.187825i −0.610300 0.792170i \(-0.708951\pi\)
0.199020 + 0.979995i \(0.436224\pi\)
\(132\) −3.73831 0.731508i −0.325378 0.0636696i
\(133\) 0.429393 2.98650i 0.0372331 0.258962i
\(134\) 5.32815 + 3.42419i 0.460282 + 0.295805i
\(135\) 2.89360 + 21.4183i 0.249042 + 1.84339i
\(136\) −0.560292 + 1.90818i −0.0480447 + 0.163625i
\(137\) 10.7206 0.915925 0.457962 0.888972i \(-0.348579\pi\)
0.457962 + 0.888972i \(0.348579\pi\)
\(138\) −8.08720 + 1.89663i −0.688428 + 0.161452i
\(139\) −0.526269 −0.0446375 −0.0223188 0.999751i \(-0.507105\pi\)
−0.0223188 + 0.999751i \(0.507105\pi\)
\(140\) −0.845983 + 2.88115i −0.0714986 + 0.243502i
\(141\) −1.33069 14.3663i −0.112064 1.20986i
\(142\) 5.46978 + 3.51521i 0.459014 + 0.294990i
\(143\) −1.24651 + 8.66969i −0.104239 + 0.724996i
\(144\) 1.72627 + 2.45356i 0.143856 + 0.204464i
\(145\) 15.2556 6.96701i 1.26691 0.578579i
\(146\) −3.34477 + 2.89826i −0.276815 + 0.239862i
\(147\) 6.53510 9.12237i 0.539006 0.752401i
\(148\) 1.43889 + 0.657117i 0.118276 + 0.0540147i
\(149\) −20.3556 + 5.97694i −1.66759 + 0.489650i −0.973203 0.229949i \(-0.926144\pi\)
−0.694391 + 0.719598i \(0.744326\pi\)
\(150\) −9.81630 + 18.9090i −0.801497 + 1.54392i
\(151\) −2.43114 + 5.32345i −0.197843 + 0.433216i −0.982387 0.186857i \(-0.940170\pi\)
0.784544 + 0.620073i \(0.212897\pi\)
\(152\) −0.594786 4.13683i −0.0482435 0.335541i
\(153\) −4.34125 + 4.09259i −0.350969 + 0.330866i
\(154\) −0.659554 1.44422i −0.0531484 0.116379i
\(155\) 35.9111 23.0786i 2.88445 1.85372i
\(156\) 5.43440 4.24876i 0.435100 0.340173i
\(157\) −3.13288 + 4.87486i −0.250031 + 0.389056i −0.943469 0.331460i \(-0.892459\pi\)
0.693438 + 0.720516i \(0.256095\pi\)
\(158\) −2.93174 + 3.38341i −0.233237 + 0.269170i
\(159\) −3.16812 5.52348i −0.251248 0.438040i
\(160\) 4.15939i 0.328829i
\(161\) −2.60568 2.27983i −0.205356 0.179676i
\(162\) 0.753759 + 8.96838i 0.0592209 + 0.704623i
\(163\) 4.17674 + 1.22640i 0.327148 + 0.0960592i 0.441182 0.897418i \(-0.354559\pi\)
−0.114034 + 0.993477i \(0.536377\pi\)
\(164\) −5.37937 4.66125i −0.420058 0.363982i
\(165\) −3.69165 15.4079i −0.287395 1.19950i
\(166\) −2.15501 0.309844i −0.167262 0.0240486i
\(167\) 4.39447 + 6.83794i 0.340055 + 0.529135i 0.968596 0.248641i \(-0.0799840\pi\)
−0.628541 + 0.777776i \(0.716348\pi\)
\(168\) −0.412323 + 1.18048i −0.0318114 + 0.0910761i
\(169\) −1.87392 2.16262i −0.144148 0.166355i
\(170\) −8.18775 + 1.17722i −0.627972 + 0.0902887i
\(171\) 4.72592 11.6133i 0.361400 0.888094i
\(172\) −0.0547937 0.186610i −0.00417798 0.0142289i
\(173\) −4.51163 15.3652i −0.343013 1.16819i −0.932727 0.360582i \(-0.882578\pi\)
0.589715 0.807612i \(-0.299240\pi\)
\(174\) 6.49093 2.57723i 0.492076 0.195379i
\(175\) −8.78975 + 1.26377i −0.664442 + 0.0955324i
\(176\) −1.44020 1.66208i −0.108559 0.125284i
\(177\) 0.0486572 + 0.0169952i 0.00365730 + 0.00127744i
\(178\) 0.675077 + 1.05044i 0.0505991 + 0.0787338i
\(179\) 7.07616 + 1.01740i 0.528897 + 0.0760439i 0.401590 0.915819i \(-0.368458\pi\)
0.127307 + 0.991863i \(0.459367\pi\)
\(180\) −6.30032 + 10.7708i −0.469598 + 0.802811i
\(181\) 13.1684 + 11.4105i 0.978801 + 0.848136i 0.988409 0.151818i \(-0.0485127\pi\)
−0.00960722 + 0.999954i \(0.503058\pi\)
\(182\) 2.75873 + 0.810036i 0.204491 + 0.0600439i
\(183\) −13.5772 + 14.1587i −1.00366 + 1.04664i
\(184\) −4.35282 2.01319i −0.320894 0.148414i
\(185\) 6.57946i 0.483732i
\(186\) 15.4196 8.84424i 1.13062 0.648491i
\(187\) 2.86418 3.30544i 0.209450 0.241718i
\(188\) 4.50348 7.00756i 0.328450 0.511079i
\(189\) −2.85582 + 2.43233i −0.207730 + 0.176926i
\(190\) 14.6240 9.39830i 1.06094 0.681824i
\(191\) −8.26623 18.1005i −0.598124 1.30971i −0.930407 0.366529i \(-0.880546\pi\)
0.332283 0.943180i \(-0.392181\pi\)
\(192\) −0.0873233 + 1.72985i −0.00630202 + 0.124841i
\(193\) −2.21480 15.4043i −0.159425 1.10883i −0.899696 0.436517i \(-0.856212\pi\)
0.740271 0.672309i \(-0.234697\pi\)
\(194\) 5.36879 11.7560i 0.385456 0.844032i
\(195\) 25.4652 + 13.2198i 1.82360 + 0.946692i
\(196\) 6.21638 1.82529i 0.444027 0.130378i
\(197\) −3.90627 1.78394i −0.278310 0.127100i 0.271370 0.962475i \(-0.412523\pi\)
−0.549681 + 0.835375i \(0.685251\pi\)
\(198\) −1.21184 6.48549i −0.0861219 0.460904i
\(199\) 15.9996 13.8637i 1.13418 0.982774i 0.134215 0.990952i \(-0.457149\pi\)
0.999967 + 0.00817869i \(0.00260339\pi\)
\(200\) −11.1890 + 5.10984i −0.791180 + 0.361320i
\(201\) −2.10666 + 10.7659i −0.148592 + 0.759368i
\(202\) −1.89177 + 13.1575i −0.133104 + 0.925761i
\(203\) 2.44882 + 1.57376i 0.171873 + 0.110456i
\(204\) −3.42991 + 0.317698i −0.240142 + 0.0222433i
\(205\) 8.34104 28.4070i 0.582564 1.98403i
\(206\) 11.8156 0.823231
\(207\) −8.22231 11.8065i −0.571490 0.820609i
\(208\) 3.98266 0.276148
\(209\) −2.58953 + 8.81913i −0.179122 + 0.610032i
\(210\) −5.17881 + 0.479691i −0.357372 + 0.0331018i
\(211\) −13.4413 8.63822i −0.925340 0.594680i −0.0111376 0.999938i \(-0.503545\pi\)
−0.914202 + 0.405258i \(0.867182\pi\)
\(212\) 0.523194 3.63889i 0.0359331 0.249920i
\(213\) −2.16266 + 11.0521i −0.148183 + 0.757276i
\(214\) 0.610683 0.278890i 0.0417455 0.0190645i
\(215\) 0.611366 0.529752i 0.0416948 0.0361288i
\(216\) −2.84636 + 4.34721i −0.193670 + 0.295790i
\(217\) 6.73957 + 3.07786i 0.457512 + 0.208939i
\(218\) −9.23994 + 2.71309i −0.625807 + 0.183754i
\(219\) −6.80351 3.53193i −0.459739 0.238665i
\(220\) 3.80002 8.32088i 0.256197 0.560994i
\(221\) 1.12720 + 7.83984i 0.0758236 + 0.527365i
\(222\) −0.138131 + 2.73633i −0.00927074 + 0.183650i
\(223\) 4.40157 + 9.63809i 0.294751 + 0.645414i 0.997840 0.0656871i \(-0.0209239\pi\)
−0.703089 + 0.711101i \(0.748197\pi\)
\(224\) −0.607326 + 0.390304i −0.0405786 + 0.0260783i
\(225\) −36.7141 3.71615i −2.44761 0.247743i
\(226\) −8.00333 + 12.4534i −0.532373 + 0.828389i
\(227\) 6.03474 6.96446i 0.400540 0.462248i −0.519271 0.854610i \(-0.673797\pi\)
0.919811 + 0.392362i \(0.128342\pi\)
\(228\) 6.27929 3.60163i 0.415856 0.238524i
\(229\) 11.4148i 0.754309i 0.926150 + 0.377155i \(0.123097\pi\)
−0.926150 + 0.377155i \(0.876903\pi\)
\(230\) 0.0958026 19.9475i 0.00631704 1.31530i
\(231\) 1.90334 1.98486i 0.125231 0.130594i
\(232\) 3.86880 + 1.13598i 0.253999 + 0.0745809i
\(233\) 13.1628 + 11.4056i 0.862323 + 0.747207i 0.968993 0.247087i \(-0.0794735\pi\)
−0.106670 + 0.994294i \(0.534019\pi\)
\(234\) 10.3132 + 6.03261i 0.674193 + 0.394364i
\(235\) 34.2947 + 4.93083i 2.23714 + 0.321652i
\(236\) 0.0160876 + 0.0250328i 0.00104721 + 0.00162950i
\(237\) −7.32050 2.55694i −0.475518 0.166091i
\(238\) −0.940202 1.08505i −0.0609443 0.0703334i
\(239\) −14.9668 + 2.15190i −0.968122 + 0.139195i −0.608197 0.793786i \(-0.708107\pi\)
−0.359925 + 0.932981i \(0.617198\pi\)
\(240\) −6.69579 + 2.65857i −0.432212 + 0.171610i
\(241\) −0.800955 2.72780i −0.0515941 0.175713i 0.929665 0.368406i \(-0.120096\pi\)
−0.981259 + 0.192692i \(0.938278\pi\)
\(242\) −1.73641 5.91366i −0.111621 0.380145i
\(243\) −13.9555 + 6.94575i −0.895247 + 0.445570i
\(244\) −11.2104 + 1.61181i −0.717669 + 0.103185i
\(245\) 17.6472 + 20.3659i 1.12744 + 1.30113i
\(246\) 4.06534 11.6391i 0.259196 0.742079i
\(247\) −8.99895 14.0026i −0.572590 0.890967i
\(248\) 10.1585 + 1.46057i 0.645064 + 0.0927461i
\(249\) −0.878639 3.66719i −0.0556815 0.232399i
\(250\) −22.9490 19.8854i −1.45142 1.25766i
\(251\) −2.55586 0.750469i −0.161325 0.0473692i 0.200073 0.979781i \(-0.435882\pi\)
−0.361398 + 0.932412i \(0.617700\pi\)
\(252\) −2.16388 + 0.0907732i −0.136312 + 0.00571817i
\(253\) 6.86859 + 8.00413i 0.431825 + 0.503215i
\(254\) 14.8198i 0.929878i
\(255\) −7.12848 12.4282i −0.446403 0.778284i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −5.36966 + 8.35536i −0.334950 + 0.521193i −0.967348 0.253451i \(-0.918434\pi\)
0.632398 + 0.774644i \(0.282071\pi\)
\(258\) 0.265382 0.207483i 0.0165220 0.0129173i
\(259\) −0.960687 + 0.617396i −0.0596942 + 0.0383631i
\(260\) 6.88153 + 15.0685i 0.426774 + 0.934506i
\(261\) 8.29765 + 8.80180i 0.513611 + 0.544818i
\(262\) −0.736474 5.12229i −0.0454995 0.316456i
\(263\) −4.09666 + 8.97043i −0.252611 + 0.553141i −0.992873 0.119178i \(-0.961974\pi\)
0.740262 + 0.672318i \(0.234701\pi\)
\(264\) 1.75508 3.38079i 0.108018 0.208073i
\(265\) 14.6718 4.30804i 0.901283 0.264641i
\(266\) 2.74455 + 1.25339i 0.168279 + 0.0768504i
\(267\) −1.25951 + 1.75815i −0.0770807 + 0.107597i
\(268\) −4.78660 + 4.14761i −0.292388 + 0.253356i
\(269\) −3.07146 + 1.40269i −0.187270 + 0.0855235i −0.506843 0.862038i \(-0.669188\pi\)
0.319573 + 0.947562i \(0.396460\pi\)
\(270\) −21.3659 3.25783i −1.30029 0.198265i
\(271\) −2.04708 + 14.2377i −0.124351 + 0.864880i 0.828185 + 0.560455i \(0.189374\pi\)
−0.952536 + 0.304426i \(0.901536\pi\)
\(272\) −1.67303 1.07519i −0.101443 0.0651932i
\(273\) 0.459308 + 4.95876i 0.0277986 + 0.300118i
\(274\) −3.02035 + 10.2864i −0.182466 + 0.621422i
\(275\) 27.0519 1.63129
\(276\) 0.458626 8.29395i 0.0276061 0.499237i
\(277\) −9.51013 −0.571408 −0.285704 0.958318i \(-0.592227\pi\)
−0.285704 + 0.958318i \(0.592227\pi\)
\(278\) 0.148267 0.504951i 0.00889247 0.0302850i
\(279\) 24.0932 + 19.1694i 1.44242 + 1.14764i
\(280\) −2.52611 1.62343i −0.150964 0.0970185i
\(281\) 0.0418767 0.291259i 0.00249815 0.0173750i −0.988534 0.150997i \(-0.951752\pi\)
0.991032 + 0.133622i \(0.0426608\pi\)
\(282\) 14.1593 + 2.77067i 0.843173 + 0.164991i
\(283\) 16.0458 7.32785i 0.953821 0.435596i 0.123168 0.992386i \(-0.460695\pi\)
0.830653 + 0.556790i \(0.187967\pi\)
\(284\) −4.91384 + 4.25786i −0.291583 + 0.252658i
\(285\) 24.4767 + 17.5346i 1.44987 + 1.03866i
\(286\) −7.96732 3.63855i −0.471118 0.215152i
\(287\) 4.93049 1.44772i 0.291037 0.0854563i
\(288\) −2.84053 + 0.965099i −0.167380 + 0.0568690i
\(289\) −5.41906 + 11.8661i −0.318768 + 0.698004i
\(290\) 2.38679 + 16.6005i 0.140157 + 0.974815i
\(291\) 22.3564 + 1.12856i 1.31056 + 0.0661573i
\(292\) −1.83853 4.02582i −0.107592 0.235593i
\(293\) −22.4214 + 14.4094i −1.30987 + 0.841804i −0.994250 0.107080i \(-0.965850\pi\)
−0.315623 + 0.948885i \(0.602213\pi\)
\(294\) 6.91170 + 8.84046i 0.403099 + 0.515586i
\(295\) −0.0669147 + 0.104121i −0.00389593 + 0.00606218i
\(296\) −1.03588 + 1.19547i −0.0602093 + 0.0694852i
\(297\) 9.66577 6.09617i 0.560865 0.353736i
\(298\) 21.2149i 1.22895i
\(299\) −19.0999 0.0917319i −1.10458 0.00530499i
\(300\) −15.3775 14.7460i −0.887821 0.851358i
\(301\) 0.134719 + 0.0395572i 0.00776509 + 0.00228004i
\(302\) −4.42288 3.83245i −0.254508 0.220533i
\(303\) −22.3902 + 5.36457i −1.28628 + 0.308187i
\(304\) 4.13683 + 0.594786i 0.237263 + 0.0341133i
\(305\) −25.4684 39.6296i −1.45832 2.26918i
\(306\) −2.70374 5.31841i −0.154562 0.304034i
\(307\) −22.8736 26.3975i −1.30546 1.50658i −0.713625 0.700528i \(-0.752948\pi\)
−0.591839 0.806056i \(-0.701598\pi\)
\(308\) 1.57154 0.225953i 0.0895468 0.0128749i
\(309\) 7.55220 + 19.0207i 0.429630 + 1.08205i
\(310\) 12.0265 + 40.9584i 0.683058 + 2.32628i
\(311\) −0.262167 0.892860i −0.0148661 0.0506294i 0.951726 0.306949i \(-0.0993082\pi\)
−0.966592 + 0.256320i \(0.917490\pi\)
\(312\) 2.54561 + 6.41128i 0.144117 + 0.362967i
\(313\) 18.4209 2.64853i 1.04121 0.149704i 0.399565 0.916705i \(-0.369161\pi\)
0.641646 + 0.767001i \(0.278252\pi\)
\(314\) −3.79476 4.37938i −0.214150 0.247143i
\(315\) −4.08236 8.03025i −0.230015 0.452453i
\(316\) −2.42039 3.76620i −0.136158 0.211865i
\(317\) 16.7469 + 2.40784i 0.940601 + 0.135238i 0.595525 0.803337i \(-0.296944\pi\)
0.345076 + 0.938575i \(0.387853\pi\)
\(318\) 6.19230 1.48364i 0.347247 0.0831986i
\(319\) −6.70172 5.80707i −0.375224 0.325134i
\(320\) −3.99091 1.17184i −0.223099 0.0655077i
\(321\) 0.839289 + 0.804820i 0.0468446 + 0.0449207i
\(322\) 2.92159 1.85782i 0.162814 0.103533i
\(323\) 8.31167i 0.462473i
\(324\) −8.81746 1.80346i −0.489859 0.100192i
\(325\) −32.0809 + 37.0233i −1.77953 + 2.05368i
\(326\) −2.35345 + 3.66204i −0.130345 + 0.202821i
\(327\) −10.2734 13.1403i −0.568123 0.726661i
\(328\) 5.98798 3.84824i 0.330631 0.212484i
\(329\) 2.49814 + 5.47016i 0.137727 + 0.301580i
\(330\) 15.8238 + 0.798793i 0.871073 + 0.0439721i
\(331\) 0.117484 + 0.817121i 0.00645752 + 0.0449130i 0.992795 0.119822i \(-0.0382323\pi\)
−0.986338 + 0.164735i \(0.947323\pi\)
\(332\) 0.904431 1.98043i 0.0496371 0.108690i
\(333\) −4.49323 + 1.52662i −0.246228 + 0.0836585i
\(334\) −7.79902 + 2.29000i −0.426743 + 0.125303i
\(335\) −23.9632 10.9436i −1.30925 0.597915i
\(336\) −1.01650 0.728201i −0.0554545 0.0397266i
\(337\) −21.5178 + 18.6453i −1.17215 + 1.01567i −0.172620 + 0.984988i \(0.555223\pi\)
−0.999529 + 0.0306850i \(0.990231\pi\)
\(338\) 2.60296 1.18873i 0.141582 0.0646585i
\(339\) −25.1630 4.92387i −1.36667 0.267428i
\(340\) 1.17722 8.18775i 0.0638438 0.444043i
\(341\) −18.9877 12.2026i −1.02824 0.660810i
\(342\) 9.81146 + 7.80635i 0.530543 + 0.422119i
\(343\) −2.74147 + 9.33659i −0.148025 + 0.504128i
\(344\) 0.194488 0.0104861
\(345\) 32.1728 12.5957i 1.73212 0.678129i
\(346\) 16.0139 0.860911
\(347\) 0.0175599 0.0598036i 0.000942666 0.00321043i −0.959020 0.283337i \(-0.908558\pi\)
0.959963 + 0.280127i \(0.0903766\pi\)
\(348\) 0.644127 + 6.95409i 0.0345288 + 0.372778i
\(349\) −17.9464 11.5334i −0.960647 0.617370i −0.0364699 0.999335i \(-0.511611\pi\)
−0.924177 + 0.381964i \(0.875248\pi\)
\(350\) 1.26377 8.78975i 0.0675516 0.469832i
\(351\) −3.11940 + 20.4580i −0.166501 + 1.09197i
\(352\) 2.00050 0.913600i 0.106627 0.0486950i
\(353\) 0.167102 0.144794i 0.00889393 0.00770663i −0.650402 0.759590i \(-0.725400\pi\)
0.659296 + 0.751883i \(0.270854\pi\)
\(354\) −0.0300151 + 0.0418982i −0.00159528 + 0.00222686i
\(355\) −24.6002 11.2345i −1.30564 0.596267i
\(356\) −1.19808 + 0.351788i −0.0634982 + 0.0186447i
\(357\) 1.14576 2.20707i 0.0606403 0.116811i
\(358\) −2.96977 + 6.50289i −0.156957 + 0.343688i
\(359\) 0.583737 + 4.05998i 0.0308085 + 0.214278i 0.999410 0.0343399i \(-0.0109329\pi\)
−0.968602 + 0.248618i \(0.920024\pi\)
\(360\) −8.55954 9.07961i −0.451127 0.478537i
\(361\) 0.636792 + 1.39438i 0.0335154 + 0.0733884i
\(362\) −14.6583 + 9.42030i −0.770422 + 0.495120i
\(363\) 8.40995 6.57512i 0.441408 0.345104i
\(364\) −1.55445 + 2.41877i −0.0814752 + 0.126778i
\(365\) 12.0550 13.9122i 0.630988 0.728199i
\(366\) −9.76004 17.0162i −0.510165 0.889452i
\(367\) 31.2246i 1.62991i 0.579523 + 0.814956i \(0.303239\pi\)
−0.579523 + 0.814956i \(0.696761\pi\)
\(368\) 3.15797 3.60932i 0.164621 0.188149i
\(369\) 21.3350 0.894986i 1.11066 0.0465911i
\(370\) −6.31295 1.85365i −0.328195 0.0963666i
\(371\) 2.00579 + 1.73802i 0.104135 + 0.0902337i
\(372\) 4.14180 + 17.2867i 0.214742 + 0.896272i
\(373\) 0.330235 + 0.0474807i 0.0170989 + 0.00245846i 0.150859 0.988555i \(-0.451796\pi\)
−0.133760 + 0.991014i \(0.542705\pi\)
\(374\) 2.36461 + 3.67941i 0.122271 + 0.190258i
\(375\) 17.3432 49.6536i 0.895599 2.56410i
\(376\) 5.45492 + 6.29532i 0.281316 + 0.324656i
\(377\) 15.8951 2.28538i 0.818641 0.117703i
\(378\) −1.52922 3.42540i −0.0786547 0.176184i
\(379\) −3.18337 10.8416i −0.163519 0.556894i −0.999961 0.00883868i \(-0.997187\pi\)
0.836442 0.548055i \(-0.184632\pi\)
\(380\) 4.89753 + 16.6795i 0.251238 + 0.855639i
\(381\) 23.8570 9.47243i 1.22223 0.485287i
\(382\) 19.6962 2.83189i 1.00775 0.144892i
\(383\) 4.46062 + 5.14783i 0.227927 + 0.263042i 0.858181 0.513347i \(-0.171595\pi\)
−0.630254 + 0.776389i \(0.717049\pi\)
\(384\) −1.63518 0.571141i −0.0834447 0.0291459i
\(385\) 3.57032 + 5.55553i 0.181960 + 0.283136i
\(386\) 15.4043 + 2.21480i 0.784058 + 0.112731i
\(387\) 0.503631 + 0.294595i 0.0256010 + 0.0149751i
\(388\) 9.76724 + 8.46336i 0.495856 + 0.429662i
\(389\) −9.89092 2.90423i −0.501489 0.147251i 0.0211975 0.999775i \(-0.493252\pi\)
−0.522687 + 0.852525i \(0.675070\pi\)
\(390\) −19.8587 + 20.7092i −1.00559 + 1.04865i
\(391\) 7.99873 + 5.19492i 0.404513 + 0.262718i
\(392\) 6.47882i 0.327230i
\(393\) 7.77513 4.45961i 0.392204 0.224957i
\(394\) 2.81220 3.24545i 0.141676 0.163503i
\(395\) 10.0674 15.6651i 0.506544 0.788198i
\(396\) 6.56420 + 0.664419i 0.329863 + 0.0333883i
\(397\) 9.82670 6.31524i 0.493188 0.316953i −0.270298 0.962777i \(-0.587122\pi\)
0.763486 + 0.645824i \(0.223486\pi\)
\(398\) 8.79454 + 19.2574i 0.440831 + 0.965284i
\(399\) −0.263473 + 5.21931i −0.0131901 + 0.261292i
\(400\) −1.75055 12.1754i −0.0875276 0.608768i
\(401\) 5.88936 12.8959i 0.294100 0.643990i −0.703684 0.710513i \(-0.748463\pi\)
0.997785 + 0.0665224i \(0.0211904\pi\)
\(402\) −9.73630 5.05443i −0.485602 0.252092i
\(403\) 39.2181 11.5155i 1.95359 0.573626i
\(404\) −12.0916 5.52205i −0.601579 0.274732i
\(405\) −8.41204 36.4772i −0.417998 1.81256i
\(406\) −2.19992 + 1.90624i −0.109180 + 0.0946052i
\(407\) 3.16446 1.44516i 0.156857 0.0716340i
\(408\) 0.661489 3.38048i 0.0327486 0.167359i
\(409\) −0.919748 + 6.39699i −0.0454786 + 0.316311i 0.954365 + 0.298642i \(0.0965336\pi\)
−0.999844 + 0.0176689i \(0.994376\pi\)
\(410\) 24.9064 + 16.0063i 1.23004 + 0.790497i
\(411\) −18.4895 + 1.71260i −0.912021 + 0.0844765i
\(412\) −3.32884 + 11.3370i −0.164000 + 0.558533i
\(413\) −0.0214821 −0.00105707
\(414\) 13.6448 4.56297i 0.670603 0.224258i
\(415\) 9.05573 0.444528
\(416\) −1.12204 + 3.82133i −0.0550127 + 0.187356i
\(417\) 0.907639 0.0840707i 0.0444473 0.00411696i
\(418\) −7.73234 4.96927i −0.378201 0.243055i
\(419\) 1.23696 8.60326i 0.0604295 0.420297i −0.937041 0.349219i \(-0.886447\pi\)
0.997471 0.0710778i \(-0.0226439\pi\)
\(420\) 0.998780 5.10418i 0.0487355 0.249058i
\(421\) −26.5913 + 12.1439i −1.29598 + 0.591856i −0.939533 0.342459i \(-0.888740\pi\)
−0.356450 + 0.934314i \(0.616013\pi\)
\(422\) 12.0752 10.4632i 0.587810 0.509341i
\(423\) 4.59000 + 24.5645i 0.223173 + 1.19437i
\(424\) 3.34409 + 1.52719i 0.162403 + 0.0741671i
\(425\) 23.4717 6.89191i 1.13854 0.334307i
\(426\) −9.99511 5.18879i −0.484264 0.251398i
\(427\) 3.39656 7.43743i 0.164371 0.359922i
\(428\) 0.0955434 + 0.664519i 0.00461826 + 0.0321207i
\(429\) 0.764851 15.1515i 0.0369274 0.731519i
\(430\) 0.336051 + 0.735850i 0.0162058 + 0.0354858i
\(431\) 25.7588 16.5542i 1.24076 0.797387i 0.255228 0.966881i \(-0.417850\pi\)
0.985531 + 0.169494i \(0.0542133\pi\)
\(432\) −3.36920 3.95581i −0.162101 0.190324i
\(433\) 9.94612 15.4765i 0.477980 0.743751i −0.515607 0.856825i \(-0.672433\pi\)
0.993587 + 0.113074i \(0.0360698\pi\)
\(434\) −4.85194 + 5.59943i −0.232900 + 0.268781i
\(435\) −25.1979 + 14.4529i −1.20815 + 0.692961i
\(436\) 9.63002i 0.461194i
\(437\) −19.8256 2.94774i −0.948387 0.141010i
\(438\) 5.30563 5.53286i 0.253513 0.264370i
\(439\) 9.98198 + 2.93097i 0.476414 + 0.139888i 0.511119 0.859510i \(-0.329231\pi\)
−0.0347053 + 0.999398i \(0.511049\pi\)
\(440\) 6.91324 + 5.99036i 0.329576 + 0.285579i
\(441\) −9.81360 + 16.7770i −0.467314 + 0.798907i
\(442\) −7.83984 1.12720i −0.372903 0.0536154i
\(443\) −0.575214 0.895050i −0.0273292 0.0425251i 0.827320 0.561731i \(-0.189864\pi\)
−0.854649 + 0.519206i \(0.826228\pi\)
\(444\) −2.58657 0.903449i −0.122753 0.0428758i
\(445\) −3.40113 3.92511i −0.161229 0.186068i
\(446\) −10.4877 + 1.50791i −0.496609 + 0.0714016i
\(447\) 34.1518 13.5600i 1.61532 0.641366i
\(448\) −0.203391 0.692686i −0.00960932 0.0327263i
\(449\) −3.39728 11.5701i −0.160327 0.546025i −0.999996 0.00292531i \(-0.999069\pi\)
0.839668 0.543099i \(-0.182749\pi\)
\(450\) 13.9092 34.1799i 0.655685 1.61126i
\(451\) −15.4947 + 2.22781i −0.729618 + 0.104903i
\(452\) −9.69417 11.1877i −0.455976 0.526224i
\(453\) 3.34249 9.56956i 0.157044 0.449617i
\(454\) 4.98217 + 7.75241i 0.233825 + 0.363838i
\(455\) −11.8373 1.70195i −0.554943 0.0797888i
\(456\) 1.68666 + 7.03964i 0.0789851 + 0.329661i
\(457\) 4.86845 + 4.21854i 0.227737 + 0.197335i 0.761253 0.648455i \(-0.224584\pi\)
−0.533517 + 0.845790i \(0.679130\pi\)
\(458\) −10.9524 3.21591i −0.511772 0.150270i
\(459\) 6.83343 7.75187i 0.318957 0.361826i
\(460\) 19.1125 + 5.71179i 0.891126 + 0.266314i
\(461\) 7.71670i 0.359403i −0.983721 0.179701i \(-0.942487\pi\)
0.983721 0.179701i \(-0.0575131\pi\)
\(462\) 1.36822 + 2.38544i 0.0636556 + 0.110981i
\(463\) 10.2702 11.8525i 0.477299 0.550832i −0.465129 0.885243i \(-0.653992\pi\)
0.942427 + 0.334411i \(0.108537\pi\)
\(464\) −2.17993 + 3.39204i −0.101201 + 0.157472i
\(465\) −58.2479 + 45.5398i −2.70118 + 2.11186i
\(466\) −14.6520 + 9.41627i −0.678741 + 0.436200i
\(467\) 0.130816 + 0.286446i 0.00605343 + 0.0132552i 0.912635 0.408776i \(-0.134044\pi\)
−0.906581 + 0.422032i \(0.861317\pi\)
\(468\) −8.69381 + 8.19584i −0.401871 + 0.378853i
\(469\) −0.650720 4.52586i −0.0300475 0.208985i
\(470\) −14.3930 + 31.5163i −0.663901 + 1.45374i
\(471\) 4.62443 8.90798i 0.213082 0.410458i
\(472\) −0.0285512 + 0.00838340i −0.00131418 + 0.000385877i
\(473\) −0.389075 0.177684i −0.0178897 0.00816994i
\(474\) 4.51579 6.30360i 0.207417 0.289534i
\(475\) −38.8520 + 33.6654i −1.78265 + 1.54468i
\(476\) 1.30598 0.596423i 0.0598597 0.0273370i
\(477\) 6.34632 + 9.02007i 0.290578 + 0.413000i
\(478\) 2.15190 14.9668i 0.0984257 0.684566i
\(479\) 23.8946 + 15.3561i 1.09177 + 0.701639i 0.957247 0.289271i \(-0.0934129\pi\)
0.134525 + 0.990910i \(0.457049\pi\)
\(480\) −0.664457 7.17357i −0.0303282 0.327427i
\(481\) −1.77489 + 6.04470i −0.0809278 + 0.275615i
\(482\) 2.84296 0.129493
\(483\) 4.85813 + 3.51570i 0.221052 + 0.159970i
\(484\) 6.16332 0.280151
\(485\) −15.1447 + 51.5781i −0.687686 + 2.34204i
\(486\) −2.73267 15.3471i −0.123956 0.696157i
\(487\) 12.9391 + 8.31544i 0.586326 + 0.376809i 0.799914 0.600115i \(-0.204879\pi\)
−0.213588 + 0.976924i \(0.568515\pi\)
\(488\) 1.61181 11.2104i 0.0729630 0.507469i
\(489\) −7.39941 1.44791i −0.334613 0.0654767i
\(490\) −24.5127 + 11.1946i −1.10737 + 0.505720i
\(491\) −27.6389 + 23.9493i −1.24733 + 1.08082i −0.253796 + 0.967258i \(0.581679\pi\)
−0.993531 + 0.113557i \(0.963775\pi\)
\(492\) 10.0223 + 7.17976i 0.451838 + 0.323689i
\(493\) −7.29420 3.33115i −0.328514 0.150028i
\(494\) 15.9707 4.68943i 0.718557 0.210988i
\(495\) 8.82827 + 25.9838i 0.396801 + 1.16788i
\(496\) −4.26338 + 9.33549i −0.191431 + 0.419176i
\(497\) −0.668017 4.64616i −0.0299647 0.208409i
\(498\) 3.76618 + 0.190118i 0.168767 + 0.00851940i
\(499\) 6.50748 + 14.2494i 0.291315 + 0.637890i 0.997540 0.0700968i \(-0.0223308\pi\)
−0.706226 + 0.707987i \(0.749604\pi\)
\(500\) 25.5454 16.4170i 1.14243 0.734192i
\(501\) −8.67136 11.0912i −0.387408 0.495516i
\(502\) 1.44014 2.24090i 0.0642766 0.100016i
\(503\) 5.98194 6.90353i 0.266722 0.307813i −0.606552 0.795044i \(-0.707448\pi\)
0.873273 + 0.487231i \(0.161993\pi\)
\(504\) 0.522541 2.10181i 0.0232758 0.0936219i
\(505\) 55.2902i 2.46038i
\(506\) −9.61501 + 4.33534i −0.427439 + 0.192729i
\(507\) 3.57736 + 3.43044i 0.158876 + 0.152351i
\(508\) 14.2195 + 4.17523i 0.630889 + 0.185246i
\(509\) 16.0975 + 13.9486i 0.713510 + 0.618260i 0.934060 0.357116i \(-0.116240\pi\)
−0.220550 + 0.975376i \(0.570785\pi\)
\(510\) 13.9331 3.33830i 0.616968 0.147822i
\(511\) 3.16257 + 0.454709i 0.139904 + 0.0201151i
\(512\) −0.540641 0.841254i −0.0238932 0.0371785i
\(513\) −6.29544 + 20.7841i −0.277950 + 0.917641i
\(514\) −6.50410 7.50613i −0.286884 0.331081i
\(515\) −48.6454 + 6.99416i −2.14357 + 0.308199i
\(516\) 0.124312 + 0.313087i 0.00547251 + 0.0137829i
\(517\) −5.16120 17.5774i −0.226989 0.773054i
\(518\) −0.321730 1.09571i −0.0141360 0.0481429i
\(519\) 10.2356 + 25.7791i 0.449294 + 1.13158i
\(520\) −16.3968 + 2.35751i −0.719048 + 0.103384i
\(521\) −27.4746 31.7074i −1.20368 1.38913i −0.899735 0.436437i \(-0.856240\pi\)
−0.303949 0.952688i \(-0.598305\pi\)
\(522\) −10.7830 + 5.48178i −0.471958 + 0.239931i
\(523\) 18.6310 + 28.9904i 0.814677 + 1.26766i 0.960480 + 0.278348i \(0.0897870\pi\)
−0.145803 + 0.989314i \(0.546577\pi\)
\(524\) 5.12229 + 0.736474i 0.223768 + 0.0321730i
\(525\) 14.9575 3.58374i 0.652799 0.156407i
\(526\) −7.45290 6.45798i −0.324962 0.281581i
\(527\) −19.5835 5.75024i −0.853072 0.250485i
\(528\) 2.74938 + 2.63646i 0.119651 + 0.114737i
\(529\) −15.2281 + 17.2368i −0.662090 + 0.749425i
\(530\) 15.2912i 0.664208i
\(531\) −0.0866325 0.0215381i −0.00375953 0.000934676i
\(532\) −1.97585 + 2.28025i −0.0856640 + 0.0988615i
\(533\) 15.3262 23.8481i 0.663852 1.03297i
\(534\) −1.33209 1.70382i −0.0576452 0.0737314i
\(535\) −2.34913 + 1.50970i −0.101562 + 0.0652698i
\(536\) −2.63106 5.76123i −0.113645 0.248847i
\(537\) −12.3666 0.624268i −0.533656 0.0269392i
\(538\) −0.480540 3.34223i −0.0207175 0.144094i
\(539\) 5.91905 12.9609i 0.254951 0.558266i
\(540\) 9.14533 19.5826i 0.393553 0.842701i
\(541\) −34.2915 + 10.0689i −1.47431 + 0.432895i −0.917496 0.397744i \(-0.869793\pi\)
−0.556810 + 0.830640i \(0.687975\pi\)
\(542\) −13.0843 5.97539i −0.562017 0.256665i
\(543\) −24.5340 17.5757i −1.05285 0.754245i
\(544\) 1.50299 1.30235i 0.0644401 0.0558377i
\(545\) 36.4353 16.6395i 1.56072 0.712756i
\(546\) −4.88730 0.956341i −0.209157 0.0409276i
\(547\) 2.55106 17.7430i 0.109076 0.758638i −0.859718 0.510769i \(-0.829361\pi\)
0.968794 0.247869i \(-0.0797301\pi\)
\(548\) −9.01876 5.79601i −0.385262 0.247593i
\(549\) 21.1544 26.5880i 0.902846 1.13475i
\(550\) −7.62141 + 25.9561i −0.324978 + 1.10677i
\(551\) 16.8517 0.717908
\(552\) 7.82878 + 2.77673i 0.333215 + 0.118185i
\(553\) 3.23200 0.137439
\(554\) 2.67931 9.12490i 0.113833 0.387680i
\(555\) −1.05106 11.3474i −0.0446150 0.481670i
\(556\) 0.442726 + 0.284522i 0.0187757 + 0.0120664i
\(557\) 0.449193 3.12421i 0.0190329 0.132377i −0.978090 0.208185i \(-0.933244\pi\)
0.997122 + 0.0758078i \(0.0241536\pi\)
\(558\) −25.1808 + 17.7166i −1.06599 + 0.750005i
\(559\) 0.704583 0.321772i 0.0298007 0.0136095i
\(560\) 2.26936 1.96641i 0.0958978 0.0830959i
\(561\) −4.41172 + 6.15834i −0.186263 + 0.260005i
\(562\) 0.267663 + 0.122237i 0.0112907 + 0.00515627i
\(563\) −45.3508 + 13.3162i −1.91131 + 0.561211i −0.930482 + 0.366338i \(0.880611\pi\)
−0.980828 + 0.194874i \(0.937570\pi\)
\(564\) −6.64757 + 12.8051i −0.279913 + 0.539194i
\(565\) 25.5784 56.0090i 1.07609 2.35631i
\(566\) 2.51041 + 17.4603i 0.105520 + 0.733910i
\(567\) 4.53678 4.65117i 0.190527 0.195331i
\(568\) −2.70100 5.91437i −0.113332 0.248162i
\(569\) 17.1815 11.0419i 0.720285 0.462899i −0.128451 0.991716i \(-0.541001\pi\)
0.848736 + 0.528817i \(0.177364\pi\)
\(570\) −23.7202 + 18.5451i −0.993532 + 0.776769i
\(571\) −6.38883 + 9.94122i −0.267364 + 0.416027i −0.948813 0.315839i \(-0.897714\pi\)
0.681448 + 0.731866i \(0.261350\pi\)
\(572\) 5.73582 6.61949i 0.239827 0.276775i
\(573\) 17.1480 + 29.8969i 0.716370 + 1.24896i
\(574\) 5.13864i 0.214483i
\(575\) 8.11482 + 58.4306i 0.338411 + 2.43672i
\(576\) −0.125737 2.99736i −0.00523904 0.124890i
\(577\) 5.59812 + 1.64376i 0.233053 + 0.0684304i 0.396174 0.918176i \(-0.370338\pi\)
−0.163121 + 0.986606i \(0.552156\pi\)
\(578\) −9.85869 8.54260i −0.410068 0.355326i
\(579\) 6.28061 + 26.2135i 0.261013 + 1.08940i
\(580\) −16.6005 2.38679i −0.689299 0.0991062i
\(581\) 0.849761 + 1.32225i 0.0352540 + 0.0548563i
\(582\) −7.38137 + 21.1329i −0.305968 + 0.875985i
\(583\) −5.29462 6.11032i −0.219281 0.253064i
\(584\) 4.38072 0.629852i 0.181275 0.0260635i
\(585\) −46.0309 18.7318i −1.90314 0.774464i
\(586\) −7.50885 25.5728i −0.310188 1.05640i
\(587\) 4.90768 + 16.7140i 0.202562 + 0.689861i 0.996630 + 0.0820325i \(0.0261411\pi\)
−0.794068 + 0.607829i \(0.792041\pi\)
\(588\) −10.4296 + 4.14108i −0.430110 + 0.170775i
\(589\) 42.4560 6.10425i 1.74937 0.251521i
\(590\) −0.0810517 0.0935386i −0.00333684 0.00385092i
\(591\) 7.02201 + 2.45267i 0.288847 + 0.100890i
\(592\) −0.855203 1.33072i −0.0351486 0.0546923i
\(593\) 1.69315 + 0.243438i 0.0695293 + 0.00999681i 0.176992 0.984212i \(-0.443363\pi\)
−0.107462 + 0.994209i \(0.534273\pi\)
\(594\) 3.12607 + 10.9917i 0.128264 + 0.450996i
\(595\) 4.51316 + 3.91067i 0.185021 + 0.160322i
\(596\) 20.3556 + 5.97694i 0.833797 + 0.244825i
\(597\) −25.3793 + 26.4662i −1.03870 + 1.08319i
\(598\) 5.46909 18.3004i 0.223648 0.748359i
\(599\) 0.833970i 0.0340751i 0.999855 + 0.0170376i \(0.00542348\pi\)
−0.999855 + 0.0170376i \(0.994577\pi\)
\(600\) 18.4810 10.6002i 0.754483 0.432751i
\(601\) 26.6742 30.7837i 1.08806 1.25569i 0.123360 0.992362i \(-0.460633\pi\)
0.964705 0.263332i \(-0.0848214\pi\)
\(602\) −0.0759096 + 0.118118i −0.00309385 + 0.00481412i
\(603\) 1.91345 18.9041i 0.0779218 0.769836i
\(604\) 4.92328 3.16400i 0.200325 0.128741i
\(605\) 10.6494 + 23.3190i 0.432961 + 0.948053i
\(606\) 1.16078 22.9946i 0.0471533 0.934092i
\(607\) −1.03026 7.16565i −0.0418171 0.290845i −0.999989 0.00465177i \(-0.998519\pi\)
0.958172 0.286193i \(-0.0923898\pi\)
\(608\) −1.73617 + 3.80168i −0.0704110 + 0.154179i
\(609\) −4.47480 2.32302i −0.181328 0.0941334i
\(610\) 45.1996 13.2718i 1.83008 0.537359i
\(611\) 30.1772 + 13.7814i 1.22084 + 0.557538i
\(612\) 5.86471 1.09585i 0.237067 0.0442970i
\(613\) −1.67864 + 1.45455i −0.0677995 + 0.0587486i −0.688101 0.725615i \(-0.741556\pi\)
0.620302 + 0.784363i \(0.287010\pi\)
\(614\) 31.7724 14.5100i 1.28223 0.585575i
\(615\) −9.84756 + 50.3251i −0.397092 + 2.02930i
\(616\) −0.225953 + 1.57154i −0.00910392 + 0.0633191i
\(617\) −25.2102 16.2016i −1.01492 0.652252i −0.0762604 0.997088i \(-0.524298\pi\)
−0.938663 + 0.344836i \(0.887934\pi\)
\(618\) −20.3780 + 1.88752i −0.819722 + 0.0759273i
\(619\) 1.36024 4.63255i 0.0546726 0.186198i −0.927629 0.373502i \(-0.878157\pi\)
0.982302 + 0.187304i \(0.0599751\pi\)
\(620\) −42.6876 −1.71437
\(621\) 16.0668 + 19.0488i 0.644740 + 0.764402i
\(622\) 0.930554 0.0373118
\(623\) 0.253966 0.864930i 0.0101749 0.0346527i
\(624\) −6.86876 + 0.636224i −0.274970 + 0.0254693i
\(625\) 54.5140 + 35.0340i 2.18056 + 1.40136i
\(626\) −2.64853 + 18.4209i −0.105856 + 0.736247i
\(627\) 3.05724 15.6238i 0.122094 0.623953i
\(628\) 5.27109 2.40723i 0.210339 0.0960588i
\(629\) 2.37748 2.06009i 0.0947962 0.0821413i
\(630\) 8.85510 1.65462i 0.352796 0.0659215i
\(631\) −35.4292 16.1800i −1.41041 0.644115i −0.442817 0.896612i \(-0.646021\pi\)
−0.967598 + 0.252498i \(0.918748\pi\)
\(632\) 4.29555 1.26129i 0.170868 0.0501713i
\(633\) 24.5618 + 12.7508i 0.976244 + 0.506800i
\(634\) −7.02846 + 15.3902i −0.279136 + 0.611222i
\(635\) 8.77250 + 61.0141i 0.348126 + 2.42127i
\(636\) −0.321028 + 6.35946i −0.0127296 + 0.252169i
\(637\) 10.7189 + 23.4711i 0.424699 + 0.929961i
\(638\) 7.45994 4.79421i 0.295342 0.189805i
\(639\) 1.96432 19.4067i 0.0777071 0.767716i
\(640\) 2.24874 3.49910i 0.0888892 0.138314i
\(641\) 1.82236 2.10312i 0.0719789 0.0830681i −0.718618 0.695405i \(-0.755225\pi\)
0.790597 + 0.612337i \(0.209770\pi\)
\(642\) −1.00867 + 0.578548i −0.0398092 + 0.0228335i
\(643\) 24.1796i 0.953551i 0.879025 + 0.476775i \(0.158194\pi\)
−0.879025 + 0.476775i \(0.841806\pi\)
\(644\) 0.959463 + 3.32665i 0.0378081 + 0.131088i
\(645\) −0.969776 + 1.01131i −0.0381849 + 0.0398203i
\(646\) −7.97498 2.34167i −0.313772 0.0921316i
\(647\) −26.9823 23.3803i −1.06078 0.919174i −0.0638914 0.997957i \(-0.520351\pi\)
−0.996892 + 0.0787830i \(0.974897\pi\)
\(648\) 4.21457 7.95219i 0.165564 0.312392i
\(649\) 0.0647759 + 0.00931337i 0.00254268 + 0.000365582i
\(650\) −26.4854 41.2121i −1.03884 1.61647i
\(651\) −12.1152 4.23165i −0.474832 0.165851i
\(652\) −2.85066 3.28983i −0.111640 0.128840i
\(653\) −2.27969 + 0.327771i −0.0892113 + 0.0128267i −0.186776 0.982403i \(-0.559804\pi\)
0.0975646 + 0.995229i \(0.468895\pi\)
\(654\) 15.5024 6.15525i 0.606192 0.240689i
\(655\) 6.06421 + 20.6528i 0.236948 + 0.806972i
\(656\) 2.00535 + 6.82960i 0.0782958 + 0.266651i
\(657\) 12.2980 + 5.00455i 0.479791 + 0.195246i
\(658\) −5.95239 + 0.855824i −0.232048 + 0.0333635i
\(659\) −25.4420 29.3616i −0.991080 1.14377i −0.989611 0.143768i \(-0.954078\pi\)
−0.00146862 0.999999i \(-0.500467\pi\)
\(660\) −5.22453 + 14.9578i −0.203364 + 0.582232i
\(661\) −8.92799 13.8922i −0.347258 0.540345i 0.623060 0.782174i \(-0.285889\pi\)
−0.970319 + 0.241829i \(0.922253\pi\)
\(662\) −0.817121 0.117484i −0.0317583 0.00456615i
\(663\) −3.19645 13.3411i −0.124140 0.518124i
\(664\) 1.64540 + 1.42575i 0.0638539 + 0.0553297i
\(665\) −12.0414 3.53567i −0.466945 0.137108i
\(666\) −0.198895 4.74133i −0.00770702 0.183723i
\(667\) 10.5326 16.2173i 0.407824 0.627935i
\(668\) 8.12827i 0.314492i
\(669\) −9.13092 15.9194i −0.353022 0.615478i
\(670\) 17.2516 19.9094i 0.666486 0.769166i
\(671\) −13.4662 + 20.9538i −0.519857 + 0.808913i
\(672\) 0.985085 0.770165i 0.0380005 0.0297098i
\(673\) −20.1151 + 12.9272i −0.775381 + 0.498307i −0.867498 0.497441i \(-0.834273\pi\)
0.0921168 + 0.995748i \(0.470637\pi\)
\(674\) −11.8278 25.8992i −0.455588 0.997599i
\(675\) 63.9133 + 0.544102i 2.46002 + 0.0209425i
\(676\) 0.407241 + 2.83243i 0.0156631 + 0.108939i
\(677\) 15.5663 34.0854i 0.598262 1.31001i −0.332058 0.943259i \(-0.607743\pi\)
0.930319 0.366751i \(-0.119530\pi\)
\(678\) 11.8137 22.7565i 0.453701 0.873960i
\(679\) −8.95221 + 2.62861i −0.343554 + 0.100877i
\(680\) 7.52443 + 3.43629i 0.288549 + 0.131776i
\(681\) −9.29536 + 12.9754i −0.356199 + 0.497219i
\(682\) 17.0578 14.7807i 0.653177 0.565981i
\(683\) 2.46051 1.12368i 0.0941488 0.0429963i −0.367784 0.929911i \(-0.619883\pi\)
0.461933 + 0.886915i \(0.347156\pi\)
\(684\) −10.2543 + 7.21473i −0.392085 + 0.275862i
\(685\) 6.34600 44.1374i 0.242468 1.68640i
\(686\) −8.18603 5.26084i −0.312544 0.200860i
\(687\) −1.82349 19.6867i −0.0695706 0.751094i
\(688\) −0.0547937 + 0.186610i −0.00208899 + 0.00711444i
\(689\) 14.6415 0.557796
\(690\) 3.02136 + 34.4182i 0.115021 + 1.31028i
\(691\) −27.2153 −1.03532 −0.517660 0.855586i \(-0.673197\pi\)
−0.517660 + 0.855586i \(0.673197\pi\)
\(692\) −4.51163 + 15.3652i −0.171506 + 0.584097i
\(693\) −2.96555 + 3.72728i −0.112652 + 0.141588i
\(694\) 0.0524339 + 0.0336972i 0.00199037 + 0.00127913i
\(695\) −0.311521 + 2.16668i −0.0118167 + 0.0821868i
\(696\) −6.85387 1.34116i −0.259795 0.0508364i
\(697\) −12.8765 + 5.88049i −0.487731 + 0.222739i
\(698\) 16.1223 13.9701i 0.610239 0.528775i
\(699\) −24.5235 17.5682i −0.927563 0.664489i
\(700\) 8.07765 + 3.68894i 0.305307 + 0.139429i
\(701\) −3.55633 + 1.04423i −0.134321 + 0.0394401i −0.348202 0.937420i \(-0.613208\pi\)
0.213881 + 0.976860i \(0.431389\pi\)
\(702\) −18.7505 8.75674i −0.707692 0.330502i
\(703\) −2.74633 + 6.01363i −0.103580 + 0.226808i
\(704\) 0.312985 + 2.17686i 0.0117961 + 0.0820435i
\(705\) −59.9346 3.02552i −2.25727 0.113948i
\(706\) 0.0918513 + 0.201126i 0.00345687 + 0.00756949i
\(707\) 8.07308 5.18825i 0.303619 0.195124i
\(708\) −0.0317448 0.0406033i −0.00119304 0.00152597i
\(709\) 15.5346 24.1722i 0.583413 0.907808i −0.416587 0.909096i \(-0.636774\pi\)
0.999999 + 0.00128839i \(0.000410109\pi\)
\(710\) 17.7101 20.4386i 0.664650 0.767046i
\(711\) 13.0339 + 3.24043i 0.488810 + 0.121525i
\(712\) 1.24866i 0.0467955i
\(713\) 20.6612 44.6727i 0.773769 1.67301i
\(714\) 1.79487 + 1.72116i 0.0671714 + 0.0644127i
\(715\) 34.9557 + 10.2639i 1.30727 + 0.383849i
\(716\) −5.40280 4.68155i −0.201912 0.174958i
\(717\) 25.4690 6.10224i 0.951158 0.227892i
\(718\) −4.05998 0.583737i −0.151517 0.0217849i
\(719\) −2.49443 3.88140i −0.0930264 0.144752i 0.791621 0.611012i \(-0.209237\pi\)
−0.884648 + 0.466260i \(0.845601\pi\)
\(720\) 11.1233 5.65480i 0.414542 0.210742i
\(721\) −5.58597 6.44656i −0.208033 0.240082i
\(722\) −1.51730 + 0.218155i −0.0564681 + 0.00811889i
\(723\) 1.81714 + 4.57660i 0.0675803 + 0.170206i
\(724\) −4.90900 16.7185i −0.182442 0.621339i
\(725\) −13.9732 47.5884i −0.518952 1.76739i
\(726\) 3.93943 + 9.92172i 0.146206 + 0.368229i
\(727\) 50.7325 7.29423i 1.88156 0.270528i 0.896543 0.442957i \(-0.146071\pi\)
0.985022 + 0.172429i \(0.0551615\pi\)
\(728\) −1.88285 2.17293i −0.0697832 0.0805341i
\(729\) 22.9591 14.2085i 0.850336 0.526240i
\(730\) 9.95239 + 15.4862i 0.368354 + 0.573171i
\(731\) −0.382849 0.0550454i −0.0141602 0.00203593i
\(732\) 19.0767 4.57067i 0.705093 0.168937i
\(733\) −12.9779 11.2454i −0.479351 0.415360i 0.381382 0.924418i \(-0.375448\pi\)
−0.860732 + 0.509058i \(0.829994\pi\)
\(734\) −29.9598 8.79699i −1.10584 0.324703i
\(735\) −33.6889 32.3053i −1.24263 1.19160i
\(736\) 2.57342 + 4.04692i 0.0948574 + 0.149171i
\(737\) 13.9291i 0.513085i
\(738\) −5.15203 + 20.7229i −0.189649 + 0.762822i
\(739\) −9.77783 + 11.2842i −0.359683 + 0.415097i −0.906534 0.422134i \(-0.861281\pi\)
0.546850 + 0.837230i \(0.315827\pi\)
\(740\) 3.55713 5.53500i 0.130763 0.203471i
\(741\) 17.7571 + 22.7123i 0.652324 + 0.834359i
\(742\) −2.23272 + 1.43488i −0.0819656 + 0.0526761i
\(743\) 11.1515 + 24.4184i 0.409109 + 0.895825i 0.996265 + 0.0863505i \(0.0275205\pi\)
−0.587155 + 0.809474i \(0.699752\pi\)
\(744\) −17.7533 0.896194i −0.650868 0.0328561i
\(745\) 12.5580 + 87.3431i 0.460091 + 3.20000i
\(746\) −0.138595 + 0.303482i −0.00507434 + 0.0111113i
\(747\) 2.10119 + 6.18432i 0.0768785 + 0.226272i
\(748\) −4.19656 + 1.23222i −0.153441 + 0.0450544i
\(749\) −0.440870 0.201339i −0.0161090 0.00735676i
\(750\) 42.7561 + 30.6297i 1.56123 + 1.11844i
\(751\) 5.53673 4.79760i 0.202038 0.175067i −0.547965 0.836501i \(-0.684597\pi\)
0.750003 + 0.661434i \(0.230052\pi\)
\(752\) −7.57714 + 3.46037i −0.276310 + 0.126187i
\(753\) 4.52790 + 0.886015i 0.165006 + 0.0322882i
\(754\) −2.28538 + 15.8951i −0.0832285 + 0.578867i
\(755\) 20.4779 + 13.1603i 0.745266 + 0.478953i
\(756\) 3.71748 0.502231i 0.135204 0.0182660i
\(757\) −12.7459 + 43.4086i −0.463258 + 1.57771i 0.314569 + 0.949235i \(0.398140\pi\)
−0.777827 + 0.628478i \(0.783678\pi\)
\(758\) 11.2993 0.410408
\(759\) −13.1247 12.7072i −0.476396 0.461243i
\(760\) −17.3836 −0.630570
\(761\) −7.11988 + 24.2481i −0.258095 + 0.878993i 0.723871 + 0.689936i \(0.242361\pi\)
−0.981966 + 0.189057i \(0.939457\pi\)
\(762\) 2.36745 + 25.5593i 0.0857635 + 0.925915i
\(763\) 5.84856 + 3.75864i 0.211732 + 0.136072i
\(764\) −2.83189 + 19.6962i −0.102454 + 0.712583i
\(765\) 14.2796 + 20.2958i 0.516282 + 0.733795i
\(766\) −6.19601 + 2.82962i −0.223871 + 0.102238i
\(767\) −0.0895640 + 0.0776077i −0.00323397 + 0.00280225i
\(768\) 1.00869 1.40803i 0.0363979 0.0508079i
\(769\) 15.0249 + 6.86164i 0.541812 + 0.247437i 0.667470 0.744636i \(-0.267377\pi\)
−0.125659 + 0.992074i \(0.540104\pi\)
\(770\) −6.33637 + 1.86052i −0.228347 + 0.0670487i
\(771\) 7.92613 15.2680i 0.285453 0.549864i
\(772\) −6.46498 + 14.1563i