Properties

Label 177.2.f.a.23.6
Level $177$
Weight $2$
Character 177.23
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 23.6
Character \(\chi\) \(=\) 177.23
Dual form 177.2.f.a.77.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.703454 + 0.666347i) q^{2} +(-1.32443 - 1.11619i) q^{3} +(-0.0574486 + 1.05958i) q^{4} +(0.383857 + 0.0629301i) q^{5} +(1.67545 - 0.0973420i) q^{6} +(-0.729572 + 1.37612i) q^{7} +(-1.92021 - 2.26064i) q^{8} +(0.508236 + 2.95664i) q^{9} +O(q^{10})\) \(q+(-0.703454 + 0.666347i) q^{2} +(-1.32443 - 1.11619i) q^{3} +(-0.0574486 + 1.05958i) q^{4} +(0.383857 + 0.0629301i) q^{5} +(1.67545 - 0.0973420i) q^{6} +(-0.729572 + 1.37612i) q^{7} +(-1.92021 - 2.26064i) q^{8} +(0.508236 + 2.95664i) q^{9} +(-0.311959 + 0.211513i) q^{10} +(-2.37748 + 0.258567i) q^{11} +(1.25878 - 1.33921i) q^{12} +(-2.83962 + 6.13774i) q^{13} +(-0.403753 - 1.45419i) q^{14} +(-0.438150 - 0.511804i) q^{15} +(0.747324 + 0.0812764i) q^{16} +(-5.86001 + 3.10678i) q^{17} +(-2.32767 - 1.74120i) q^{18} +(4.92825 - 2.96523i) q^{19} +(-0.0887313 + 0.403110i) q^{20} +(2.50228 - 1.00823i) q^{21} +(1.50015 - 1.76612i) q^{22} +(2.59272 + 6.50724i) q^{23} +(0.0198739 + 5.13738i) q^{24} +(-4.59488 - 1.54820i) q^{25} +(-2.09232 - 6.20979i) q^{26} +(2.62705 - 4.48315i) q^{27} +(-1.41619 - 0.852094i) q^{28} +(1.89426 - 1.99975i) q^{29} +(0.649258 + 0.0680707i) q^{30} +(4.19065 - 6.96492i) q^{31} +(4.14270 - 3.14920i) q^{32} +(3.43742 + 2.31127i) q^{33} +(2.05206 - 6.09028i) q^{34} +(-0.366650 + 0.482320i) q^{35} +(-3.16198 + 0.368661i) q^{36} +(3.34683 + 2.84282i) q^{37} +(-1.49093 + 5.36983i) q^{38} +(10.6118 - 4.95945i) q^{39} +(-0.594821 - 0.988601i) q^{40} +(-4.48996 - 1.78897i) q^{41} +(-1.08841 + 2.37663i) q^{42} +(-0.462789 + 4.25528i) q^{43} +(-0.137388 - 2.53398i) q^{44} +(0.00902850 + 1.16691i) q^{45} +(-6.15995 - 2.84989i) q^{46} +(-0.416590 - 2.54109i) q^{47} +(-0.899060 - 0.941802i) q^{48} +(2.56688 + 3.78587i) q^{49} +(4.26392 - 1.97270i) q^{50} +(11.2289 + 2.42617i) q^{51} +(-6.34027 - 3.36140i) q^{52} +(5.01330 + 3.39910i) q^{53} +(1.13933 + 4.90422i) q^{54} +(-0.928883 - 0.0503626i) q^{55} +(4.51184 - 0.993131i) q^{56} +(-9.83689 - 1.57362i) q^{57} +2.66897i q^{58} +(2.66206 + 7.20510i) q^{59} +(0.567466 - 0.434851i) q^{60} +(-2.11840 - 2.23637i) q^{61} +(1.69312 + 7.69193i) q^{62} +(-4.43948 - 1.45769i) q^{63} +(-1.05897 + 6.45945i) q^{64} +(-1.47626 + 2.17731i) q^{65} +(-3.95817 + 0.664644i) q^{66} +(2.81723 - 2.39298i) q^{67} +(-2.95522 - 6.38761i) q^{68} +(3.82944 - 11.5124i) q^{69} +(-0.0634711 - 0.583607i) q^{70} +(-2.93880 + 0.481792i) q^{71} +(5.70797 - 6.82629i) q^{72} +(1.02872 - 0.285621i) q^{73} +(-4.24864 + 0.230355i) q^{74} +(4.35752 + 7.17924i) q^{75} +(2.85877 + 5.39221i) q^{76} +(1.37872 - 3.46034i) q^{77} +(-4.16018 + 10.5599i) q^{78} +(-9.43087 - 2.07589i) q^{79} +(0.281751 + 0.0782277i) q^{80} +(-8.48339 + 3.00534i) q^{81} +(4.35056 - 1.73342i) q^{82} +(-9.05934 - 6.88673i) q^{83} +(0.924548 + 2.70928i) q^{84} +(-2.44491 + 0.823787i) q^{85} +(-2.50994 - 3.30177i) q^{86} +(-4.74092 + 0.534172i) q^{87} +(5.14978 + 4.87813i) q^{88} +(2.33866 + 2.21530i) q^{89} +(-0.783917 - 0.814850i) q^{90} +(-6.37455 - 8.38558i) q^{91} +(-7.04387 + 2.37336i) q^{92} +(-13.3244 + 4.54699i) q^{93} +(1.98630 + 1.50995i) q^{94} +(2.07834 - 0.828088i) q^{95} +(-9.00183 - 0.453146i) q^{96} +(4.04337 + 1.12263i) q^{97} +(-4.32839 - 0.952750i) q^{98} +(-1.97281 - 6.89793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{15}{58}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.703454 + 0.666347i −0.497417 + 0.471179i −0.894796 0.446476i \(-0.852679\pi\)
0.397378 + 0.917655i \(0.369920\pi\)
\(3\) −1.32443 1.11619i −0.764661 0.644433i
\(4\) −0.0574486 + 1.05958i −0.0287243 + 0.529788i
\(5\) 0.383857 + 0.0629301i 0.171666 + 0.0281432i 0.247002 0.969015i \(-0.420555\pi\)
−0.0753359 + 0.997158i \(0.524003\pi\)
\(6\) 1.67545 0.0973420i 0.683999 0.0397397i
\(7\) −0.729572 + 1.37612i −0.275752 + 0.520124i −0.982246 0.187595i \(-0.939931\pi\)
0.706494 + 0.707719i \(0.250276\pi\)
\(8\) −1.92021 2.26064i −0.678895 0.799257i
\(9\) 0.508236 + 2.95664i 0.169412 + 0.985545i
\(10\) −0.311959 + 0.211513i −0.0986501 + 0.0668864i
\(11\) −2.37748 + 0.258567i −0.716837 + 0.0779607i −0.459266 0.888299i \(-0.651888\pi\)
−0.257571 + 0.966259i \(0.582922\pi\)
\(12\) 1.25878 1.33921i 0.363377 0.386597i
\(13\) −2.83962 + 6.13774i −0.787569 + 1.70230i −0.0787687 + 0.996893i \(0.525099\pi\)
−0.708800 + 0.705409i \(0.750763\pi\)
\(14\) −0.403753 1.45419i −0.107907 0.388647i
\(15\) −0.438150 0.511804i −0.113130 0.132147i
\(16\) 0.747324 + 0.0812764i 0.186831 + 0.0203191i
\(17\) −5.86001 + 3.10678i −1.42126 + 0.753505i −0.988954 0.148221i \(-0.952645\pi\)
−0.432307 + 0.901726i \(0.642300\pi\)
\(18\) −2.32767 1.74120i −0.548637 0.410404i
\(19\) 4.92825 2.96523i 1.13062 0.680270i 0.177877 0.984053i \(-0.443077\pi\)
0.952741 + 0.303782i \(0.0982496\pi\)
\(20\) −0.0887313 + 0.403110i −0.0198409 + 0.0901382i
\(21\) 2.50228 1.00823i 0.546042 0.220015i
\(22\) 1.50015 1.76612i 0.319834 0.376538i
\(23\) 2.59272 + 6.50724i 0.540620 + 1.35685i 0.904924 + 0.425574i \(0.139928\pi\)
−0.364304 + 0.931280i \(0.618693\pi\)
\(24\) 0.0198739 + 5.13738i 0.00405675 + 1.04866i
\(25\) −4.59488 1.54820i −0.918976 0.309639i
\(26\) −2.09232 6.20979i −0.410338 1.21784i
\(27\) 2.62705 4.48315i 0.505575 0.862783i
\(28\) −1.41619 0.852094i −0.267635 0.161031i
\(29\) 1.89426 1.99975i 0.351756 0.371344i −0.525973 0.850501i \(-0.676299\pi\)
0.877729 + 0.479157i \(0.159057\pi\)
\(30\) 0.649258 + 0.0680707i 0.118538 + 0.0124280i
\(31\) 4.19065 6.96492i 0.752663 1.25094i −0.209325 0.977846i \(-0.567127\pi\)
0.961989 0.273090i \(-0.0880457\pi\)
\(32\) 4.14270 3.14920i 0.732333 0.556705i
\(33\) 3.43742 + 2.31127i 0.598378 + 0.402340i
\(34\) 2.05206 6.09028i 0.351925 1.04447i
\(35\) −0.366650 + 0.482320i −0.0619752 + 0.0815270i
\(36\) −3.16198 + 0.368661i −0.526997 + 0.0614435i
\(37\) 3.34683 + 2.84282i 0.550215 + 0.467357i 0.878849 0.477101i \(-0.158312\pi\)
−0.328634 + 0.944457i \(0.606588\pi\)
\(38\) −1.49093 + 5.36983i −0.241860 + 0.871102i
\(39\) 10.6118 4.95945i 1.69924 0.794148i
\(40\) −0.594821 0.988601i −0.0940495 0.156311i
\(41\) −4.48996 1.78897i −0.701215 0.279389i −0.00784256 0.999969i \(-0.502496\pi\)
−0.693372 + 0.720580i \(0.743876\pi\)
\(42\) −1.08841 + 2.37663i −0.167945 + 0.366722i
\(43\) −0.462789 + 4.25528i −0.0705747 + 0.648924i 0.904412 + 0.426660i \(0.140310\pi\)
−0.974987 + 0.222263i \(0.928656\pi\)
\(44\) −0.137388 2.53398i −0.0207121 0.382011i
\(45\) 0.00902850 + 1.16691i 0.00134589 + 0.173952i
\(46\) −6.15995 2.84989i −0.908235 0.420194i
\(47\) −0.416590 2.54109i −0.0607659 0.370656i −0.999651 0.0264244i \(-0.991588\pi\)
0.938885 0.344231i \(-0.111860\pi\)
\(48\) −0.899060 0.941802i −0.129768 0.135937i
\(49\) 2.56688 + 3.78587i 0.366697 + 0.540838i
\(50\) 4.26392 1.97270i 0.603010 0.278982i
\(51\) 11.2289 + 2.42617i 1.57237 + 0.339732i
\(52\) −6.34027 3.36140i −0.879237 0.466142i
\(53\) 5.01330 + 3.39910i 0.688630 + 0.466903i 0.854640 0.519221i \(-0.173778\pi\)
−0.166010 + 0.986124i \(0.553088\pi\)
\(54\) 1.13933 + 4.90422i 0.155043 + 0.667379i
\(55\) −0.928883 0.0503626i −0.125251 0.00679089i
\(56\) 4.51184 0.993131i 0.602920 0.132713i
\(57\) −9.83689 1.57362i −1.30293 0.208432i
\(58\) 2.66897i 0.350453i
\(59\) 2.66206 + 7.20510i 0.346571 + 0.938024i
\(60\) 0.567466 0.434851i 0.0732596 0.0561390i
\(61\) −2.11840 2.23637i −0.271233 0.286337i 0.576122 0.817364i \(-0.304565\pi\)
−0.847355 + 0.531026i \(0.821807\pi\)
\(62\) 1.69312 + 7.69193i 0.215027 + 0.976876i
\(63\) −4.43948 1.45769i −0.559322 0.183651i
\(64\) −1.05897 + 6.45945i −0.132372 + 0.807431i
\(65\) −1.47626 + 2.17731i −0.183107 + 0.270063i
\(66\) −3.95817 + 0.664644i −0.487218 + 0.0818120i
\(67\) 2.81723 2.39298i 0.344179 0.292349i −0.458578 0.888654i \(-0.651641\pi\)
0.802758 + 0.596305i \(0.203365\pi\)
\(68\) −2.95522 6.38761i −0.358373 0.774612i
\(69\) 3.82944 11.5124i 0.461011 1.38593i
\(70\) −0.0634711 0.583607i −0.00758624 0.0697544i
\(71\) −2.93880 + 0.481792i −0.348771 + 0.0571781i −0.333622 0.942707i \(-0.608271\pi\)
−0.0151497 + 0.999885i \(0.504822\pi\)
\(72\) 5.70797 6.82629i 0.672691 0.804486i
\(73\) 1.02872 0.285621i 0.120402 0.0334295i −0.206805 0.978382i \(-0.566306\pi\)
0.327207 + 0.944953i \(0.393893\pi\)
\(74\) −4.24864 + 0.230355i −0.493895 + 0.0267782i
\(75\) 4.35752 + 7.17924i 0.503163 + 0.828987i
\(76\) 2.85877 + 5.39221i 0.327923 + 0.618529i
\(77\) 1.37872 3.46034i 0.157120 0.394342i
\(78\) −4.16018 + 10.5599i −0.471047 + 1.19567i
\(79\) −9.43087 2.07589i −1.06106 0.233556i −0.350042 0.936734i \(-0.613833\pi\)
−0.711014 + 0.703178i \(0.751764\pi\)
\(80\) 0.281751 + 0.0782277i 0.0315007 + 0.00874612i
\(81\) −8.48339 + 3.00534i −0.942599 + 0.333927i
\(82\) 4.35056 1.73342i 0.480439 0.191424i
\(83\) −9.05934 6.88673i −0.994392 0.755917i −0.0245619 0.999698i \(-0.507819\pi\)
−0.969830 + 0.243781i \(0.921612\pi\)
\(84\) 0.924548 + 2.70928i 0.100876 + 0.295606i
\(85\) −2.44491 + 0.823787i −0.265188 + 0.0893523i
\(86\) −2.50994 3.30177i −0.270654 0.356039i
\(87\) −4.74092 + 0.534172i −0.508280 + 0.0572692i
\(88\) 5.14978 + 4.87813i 0.548968 + 0.520010i
\(89\) 2.33866 + 2.21530i 0.247898 + 0.234821i 0.801551 0.597926i \(-0.204008\pi\)
−0.553654 + 0.832747i \(0.686767\pi\)
\(90\) −0.783917 0.814850i −0.0826321 0.0858928i
\(91\) −6.37455 8.38558i −0.668234 0.879047i
\(92\) −7.04387 + 2.37336i −0.734374 + 0.247439i
\(93\) −13.3244 + 4.54699i −1.38168 + 0.471501i
\(94\) 1.98630 + 1.50995i 0.204871 + 0.155739i
\(95\) 2.07834 0.828088i 0.213234 0.0849600i
\(96\) −9.00183 0.453146i −0.918745 0.0462490i
\(97\) 4.04337 + 1.12263i 0.410542 + 0.113986i 0.466658 0.884438i \(-0.345458\pi\)
−0.0561163 + 0.998424i \(0.517872\pi\)
\(98\) −4.32839 0.952750i −0.437233 0.0962423i
\(99\) −1.97281 6.89793i −0.198275 0.693268i
\(100\) 1.90440 4.77969i 0.190440 0.477969i
\(101\) 5.80859 + 10.9562i 0.577976 + 1.09018i 0.984309 + 0.176453i \(0.0564624\pi\)
−0.406333 + 0.913725i \(0.633193\pi\)
\(102\) −9.51572 + 5.77568i −0.942197 + 0.571877i
\(103\) 1.89894 0.102958i 0.187108 0.0101447i 0.0396535 0.999213i \(-0.487375\pi\)
0.147455 + 0.989069i \(0.452892\pi\)
\(104\) 19.3279 5.36636i 1.89525 0.526215i
\(105\) 1.02396 0.229548i 0.0999287 0.0224016i
\(106\) −5.79161 + 0.949487i −0.562531 + 0.0922223i
\(107\) 0.483969 + 4.45002i 0.0467870 + 0.430200i 0.993982 + 0.109542i \(0.0349384\pi\)
−0.947195 + 0.320658i \(0.896096\pi\)
\(108\) 4.59932 + 3.04111i 0.442570 + 0.292631i
\(109\) 6.24919 + 13.5074i 0.598564 + 1.29377i 0.935859 + 0.352375i \(0.114626\pi\)
−0.337295 + 0.941399i \(0.609512\pi\)
\(110\) 0.686986 0.583531i 0.0655015 0.0556375i
\(111\) −1.25951 7.50081i −0.119548 0.711946i
\(112\) −0.657073 + 0.969110i −0.0620876 + 0.0915723i
\(113\) 1.19179 7.26960i 0.112114 0.683866i −0.869636 0.493693i \(-0.835647\pi\)
0.981751 0.190173i \(-0.0609050\pi\)
\(114\) 7.96839 5.44781i 0.746308 0.510235i
\(115\) 0.585732 + 2.66101i 0.0546198 + 0.248140i
\(116\) 2.01007 + 2.12200i 0.186630 + 0.197023i
\(117\) −19.5903 5.27630i −1.81112 0.487794i
\(118\) −6.67374 3.29460i −0.614367 0.303292i
\(119\) 10.3307i 0.947013i
\(120\) −0.315667 + 1.97327i −0.0288163 + 0.180134i
\(121\) −5.15727 + 1.13520i −0.468843 + 0.103200i
\(122\) 2.98039 + 0.161592i 0.269832 + 0.0146299i
\(123\) 3.94982 + 7.38102i 0.356143 + 0.665524i
\(124\) 7.13912 + 4.84044i 0.641112 + 0.434684i
\(125\) −3.38469 1.79445i −0.302736 0.160501i
\(126\) 4.09429 1.93282i 0.364749 0.172189i
\(127\) −5.77967 + 2.67396i −0.512863 + 0.237276i −0.659212 0.751957i \(-0.729110\pi\)
0.146349 + 0.989233i \(0.453248\pi\)
\(128\) 2.28130 + 3.36466i 0.201640 + 0.297397i
\(129\) 5.36263 5.11926i 0.472154 0.450726i
\(130\) −0.412369 2.51534i −0.0361672 0.220610i
\(131\) 12.5266 + 5.79540i 1.09445 + 0.506346i 0.882203 0.470870i \(-0.156060\pi\)
0.212247 + 0.977216i \(0.431922\pi\)
\(132\) −2.64644 + 3.50943i −0.230343 + 0.305457i
\(133\) 0.484995 + 8.94521i 0.0420544 + 0.775648i
\(134\) −0.387239 + 3.56060i −0.0334523 + 0.307589i
\(135\) 1.29053 1.55557i 0.111071 0.133882i
\(136\) 18.2757 + 7.28172i 1.56713 + 0.624402i
\(137\) 8.08616 + 13.4393i 0.690847 + 1.14820i 0.981517 + 0.191373i \(0.0612942\pi\)
−0.290670 + 0.956823i \(0.593878\pi\)
\(138\) 4.97740 + 10.6502i 0.423704 + 0.906602i
\(139\) 1.55168 5.58863i 0.131611 0.474022i −0.868140 0.496320i \(-0.834684\pi\)
0.999751 + 0.0222979i \(0.00709823\pi\)
\(140\) −0.489992 0.416203i −0.0414119 0.0351756i
\(141\) −2.28459 + 3.83049i −0.192397 + 0.322585i
\(142\) 1.74627 2.29718i 0.146544 0.192775i
\(143\) 5.16413 15.3266i 0.431846 1.28167i
\(144\) 0.139513 + 2.25087i 0.0116261 + 0.187573i
\(145\) 0.852970 0.648411i 0.0708353 0.0538476i
\(146\) −0.533331 + 0.886404i −0.0441388 + 0.0733593i
\(147\) 0.826092 7.87925i 0.0681349 0.649870i
\(148\) −3.20445 + 3.38290i −0.263405 + 0.278073i
\(149\) 12.4879 + 7.51374i 1.02305 + 0.615549i 0.925132 0.379645i \(-0.123954\pi\)
0.0979186 + 0.995194i \(0.468782\pi\)
\(150\) −7.84919 2.14665i −0.640883 0.175273i
\(151\) −0.211319 0.627174i −0.0171969 0.0510387i 0.938711 0.344705i \(-0.112021\pi\)
−0.955908 + 0.293666i \(0.905125\pi\)
\(152\) −16.1666 5.44715i −1.31128 0.441822i
\(153\) −12.1639 15.7469i −0.983392 1.27306i
\(154\) 1.33592 + 3.35290i 0.107651 + 0.270184i
\(155\) 2.04691 2.40981i 0.164412 0.193561i
\(156\) 4.64529 + 11.5289i 0.371921 + 0.923050i
\(157\) 1.77231 8.05167i 0.141445 0.642593i −0.851533 0.524300i \(-0.824327\pi\)
0.992979 0.118293i \(-0.0377421\pi\)
\(158\) 8.01745 4.82394i 0.637834 0.383772i
\(159\) −2.84573 10.0977i −0.225681 0.800798i
\(160\) 1.78838 0.948140i 0.141384 0.0749571i
\(161\) −10.8463 1.17961i −0.854809 0.0929661i
\(162\) 3.96508 7.76701i 0.311526 0.610234i
\(163\) 0.225407 + 0.811843i 0.0176552 + 0.0635884i 0.971853 0.235588i \(-0.0757017\pi\)
−0.954198 + 0.299177i \(0.903288\pi\)
\(164\) 2.15349 4.65469i 0.168159 0.363470i
\(165\) 1.17403 + 1.10351i 0.0913979 + 0.0859083i
\(166\) 10.9618 1.19217i 0.850800 0.0925301i
\(167\) 6.96566 4.72284i 0.539019 0.365464i −0.261094 0.965313i \(-0.584083\pi\)
0.800113 + 0.599849i \(0.204773\pi\)
\(168\) −7.08414 3.72074i −0.546554 0.287061i
\(169\) −21.1924 24.9496i −1.63018 1.91920i
\(170\) 1.17096 2.20866i 0.0898083 0.169396i
\(171\) 11.2718 + 13.0640i 0.861978 + 0.999029i
\(172\) −4.48221 0.734820i −0.341765 0.0560295i
\(173\) 0.829850 15.3057i 0.0630923 1.16367i −0.779957 0.625833i \(-0.784759\pi\)
0.843050 0.537836i \(-0.180758\pi\)
\(174\) 2.97908 3.53487i 0.225844 0.267978i
\(175\) 5.48280 5.19358i 0.414460 0.392598i
\(176\) −1.79776 −0.135512
\(177\) 4.51654 12.5140i 0.339484 0.940612i
\(178\) −3.12130 −0.233951
\(179\) −18.4604 + 17.4867i −1.37980 + 1.30701i −0.475753 + 0.879579i \(0.657824\pi\)
−0.904046 + 0.427436i \(0.859417\pi\)
\(180\) −1.23695 0.0574708i −0.0921966 0.00428362i
\(181\) −0.271434 + 5.00631i −0.0201756 + 0.372116i 0.970958 + 0.239249i \(0.0769012\pi\)
−0.991134 + 0.132867i \(0.957582\pi\)
\(182\) 10.0719 + 1.65121i 0.746580 + 0.122396i
\(183\) 0.309462 + 5.32645i 0.0228761 + 0.393743i
\(184\) 9.73198 18.3565i 0.717451 1.35326i
\(185\) 1.10580 + 1.30185i 0.0813002 + 0.0957140i
\(186\) 6.34324 12.0773i 0.465109 0.885549i
\(187\) 13.1287 8.90151i 0.960069 0.650943i
\(188\) 2.71641 0.295427i 0.198115 0.0215463i
\(189\) 4.25273 + 6.88591i 0.309340 + 0.500876i
\(190\) −0.910226 + 1.96742i −0.0660347 + 0.142732i
\(191\) 4.83585 + 17.4171i 0.349910 + 1.26026i 0.903902 + 0.427739i \(0.140690\pi\)
−0.553993 + 0.832521i \(0.686897\pi\)
\(192\) 8.61252 7.37308i 0.621555 0.532106i
\(193\) −10.9785 1.19398i −0.790247 0.0859445i −0.295911 0.955216i \(-0.595623\pi\)
−0.494336 + 0.869271i \(0.664589\pi\)
\(194\) −3.59239 + 1.90456i −0.257918 + 0.136740i
\(195\) 4.38550 1.23592i 0.314052 0.0885061i
\(196\) −4.15888 + 2.50232i −0.297063 + 0.178737i
\(197\) −1.77237 + 8.05196i −0.126276 + 0.573678i 0.870409 + 0.492328i \(0.163854\pi\)
−0.996686 + 0.0813497i \(0.974077\pi\)
\(198\) 5.98420 + 3.53780i 0.425279 + 0.251421i
\(199\) 3.77068 4.43919i 0.267296 0.314686i −0.612096 0.790784i \(-0.709673\pi\)
0.879392 + 0.476098i \(0.157949\pi\)
\(200\) 5.32320 + 13.3602i 0.376407 + 0.944711i
\(201\) −6.40224 + 0.0247671i −0.451579 + 0.00174693i
\(202\) −11.3867 3.83662i −0.801164 0.269944i
\(203\) 1.36989 + 4.06569i 0.0961475 + 0.285356i
\(204\) −3.21580 + 11.7585i −0.225151 + 0.823263i
\(205\) −1.61092 0.969260i −0.112512 0.0676961i
\(206\) −1.26721 + 1.33778i −0.0882910 + 0.0932077i
\(207\) −17.9218 + 10.9730i −1.24565 + 0.762673i
\(208\) −2.62097 + 4.35609i −0.181732 + 0.302040i
\(209\) −10.9501 + 8.32406i −0.757435 + 0.575787i
\(210\) −0.567353 + 0.843793i −0.0391511 + 0.0582272i
\(211\) −0.621466 + 1.84445i −0.0427835 + 0.126977i −0.966916 0.255096i \(-0.917893\pi\)
0.924132 + 0.382073i \(0.124790\pi\)
\(212\) −3.88962 + 5.11671i −0.267140 + 0.351417i
\(213\) 4.43001 + 2.64216i 0.303539 + 0.181038i
\(214\) −3.30571 2.80789i −0.225974 0.191944i
\(215\) −0.445430 + 1.60429i −0.0303781 + 0.109412i
\(216\) −15.1793 + 2.66976i −1.03282 + 0.181654i
\(217\) 6.52717 + 10.8482i 0.443093 + 0.736427i
\(218\) −13.3966 5.33771i −0.907335 0.361515i
\(219\) −1.68127 0.769957i −0.113610 0.0520289i
\(220\) 0.106726 0.981330i 0.00719547 0.0661612i
\(221\) −2.42840 44.7893i −0.163352 3.01285i
\(222\) 5.88416 + 4.43721i 0.394919 + 0.297806i
\(223\) −1.78677 0.826649i −0.119651 0.0553565i 0.359150 0.933280i \(-0.383067\pi\)
−0.478801 + 0.877923i \(0.658929\pi\)
\(224\) 1.31127 + 7.99841i 0.0876131 + 0.534416i
\(225\) 2.24216 14.3722i 0.149478 0.958149i
\(226\) 4.00571 + 5.90798i 0.266456 + 0.392993i
\(227\) 5.62312 2.60153i 0.373220 0.172670i −0.224308 0.974518i \(-0.572012\pi\)
0.597527 + 0.801849i \(0.296150\pi\)
\(228\) 2.23249 10.3325i 0.147850 0.684289i
\(229\) 13.4627 + 7.13747i 0.889641 + 0.471658i 0.849532 0.527538i \(-0.176885\pi\)
0.0401090 + 0.999195i \(0.487229\pi\)
\(230\) −2.18519 1.48160i −0.144087 0.0976936i
\(231\) −5.68842 + 3.04406i −0.374271 + 0.200284i
\(232\) −8.15809 0.442319i −0.535605 0.0290397i
\(233\) −8.57741 + 1.88803i −0.561925 + 0.123689i −0.486845 0.873489i \(-0.661852\pi\)
−0.0750800 + 0.997178i \(0.523921\pi\)
\(234\) 17.2967 9.34228i 1.13072 0.610724i
\(235\) 1.00163i 0.0653391i
\(236\) −7.78728 + 2.40674i −0.506909 + 0.156665i
\(237\) 10.1734 + 13.2760i 0.660836 + 0.862370i
\(238\) 6.88383 + 7.26717i 0.446212 + 0.471061i
\(239\) 1.17353 + 5.33139i 0.0759091 + 0.344859i 0.999233 0.0391640i \(-0.0124695\pi\)
−0.923324 + 0.384023i \(0.874538\pi\)
\(240\) −0.285842 0.418095i −0.0184510 0.0269879i
\(241\) −3.10477 + 18.9383i −0.199996 + 1.21992i 0.675743 + 0.737137i \(0.263823\pi\)
−0.875739 + 0.482785i \(0.839625\pi\)
\(242\) 2.87147 4.23510i 0.184585 0.272242i
\(243\) 14.5902 + 5.48872i 0.935962 + 0.352101i
\(244\) 2.49130 2.11613i 0.159489 0.135471i
\(245\) 0.747070 + 1.61476i 0.0477285 + 0.103164i
\(246\) −7.69684 2.56026i −0.490733 0.163236i
\(247\) 4.20545 + 38.6684i 0.267586 + 2.46041i
\(248\) −23.7921 + 3.90051i −1.51080 + 0.247683i
\(249\) 4.31157 + 19.2330i 0.273235 + 1.21884i
\(250\) 3.57671 0.993067i 0.226211 0.0628071i
\(251\) −9.54659 + 0.517601i −0.602575 + 0.0326707i −0.352903 0.935660i \(-0.614806\pi\)
−0.249672 + 0.968330i \(0.580323\pi\)
\(252\) 1.79957 4.62022i 0.113362 0.291047i
\(253\) −7.84670 14.8004i −0.493318 0.930496i
\(254\) 2.28395 5.73228i 0.143308 0.359675i
\(255\) 4.15762 + 1.63794i 0.260361 + 0.102572i
\(256\) −16.6321 3.66101i −1.03951 0.228813i
\(257\) 22.9149 + 6.36230i 1.42939 + 0.396869i 0.894127 0.447814i \(-0.147797\pi\)
0.535267 + 0.844683i \(0.320211\pi\)
\(258\) −0.361162 + 7.17454i −0.0224850 + 0.446668i
\(259\) −6.35381 + 2.53159i −0.394806 + 0.157305i
\(260\) −2.22222 1.68929i −0.137816 0.104765i
\(261\) 6.87527 + 4.58430i 0.425568 + 0.283761i
\(262\) −12.6736 + 4.27024i −0.782978 + 0.263816i
\(263\) −16.6827 21.9457i −1.02870 1.35323i −0.933821 0.357740i \(-0.883547\pi\)
−0.0948767 0.995489i \(-0.530246\pi\)
\(264\) −1.37560 12.2089i −0.0846626 0.751404i
\(265\) 1.71048 + 1.62026i 0.105074 + 0.0995315i
\(266\) −6.30179 5.96937i −0.386387 0.366006i
\(267\) −0.624702 5.54440i −0.0382311 0.339312i
\(268\) 2.37370 + 3.12254i 0.144997 + 0.190740i
\(269\) 4.90531 1.65279i 0.299082 0.100772i −0.165760 0.986166i \(-0.553008\pi\)
0.464842 + 0.885394i \(0.346111\pi\)
\(270\) 0.128716 + 1.95421i 0.00783340 + 0.118930i
\(271\) −24.2625 18.4438i −1.47384 1.12038i −0.965876 0.259004i \(-0.916606\pi\)
−0.507963 0.861379i \(-0.669601\pi\)
\(272\) −4.63184 + 1.84549i −0.280846 + 0.111899i
\(273\) −0.917250 + 18.2213i −0.0555145 + 1.10281i
\(274\) −14.6435 4.06574i −0.884645 0.245621i
\(275\) 11.3245 + 2.49272i 0.682896 + 0.150317i
\(276\) 11.9782 + 4.71896i 0.721005 + 0.284048i
\(277\) −0.304011 + 0.763011i −0.0182663 + 0.0458449i −0.937827 0.347103i \(-0.887165\pi\)
0.919561 + 0.392948i \(0.128545\pi\)
\(278\) 2.63244 + 4.96530i 0.157883 + 0.297799i
\(279\) 22.7226 + 8.85041i 1.36036 + 0.529860i
\(280\) 1.79440 0.0972894i 0.107236 0.00581415i
\(281\) −7.87579 + 2.18670i −0.469830 + 0.130448i −0.494371 0.869251i \(-0.664601\pi\)
0.0245406 + 0.999699i \(0.492188\pi\)
\(282\) −0.945330 4.21691i −0.0562936 0.251113i
\(283\) 29.4220 4.82349i 1.74896 0.286727i 0.799509 0.600655i \(-0.205093\pi\)
0.949447 + 0.313928i \(0.101645\pi\)
\(284\) −0.341665 3.14156i −0.0202741 0.186417i
\(285\) −3.67693 1.22308i −0.217802 0.0724492i
\(286\) 6.58010 + 14.2227i 0.389089 + 0.841003i
\(287\) 5.73758 4.87354i 0.338679 0.287676i
\(288\) 11.4165 + 10.6479i 0.672724 + 0.627435i
\(289\) 15.1475 22.3408i 0.891027 1.31417i
\(290\) −0.167959 + 1.02450i −0.00986287 + 0.0601608i
\(291\) −4.10209 6.00002i −0.240468 0.351727i
\(292\) 0.243540 + 1.10641i 0.0142521 + 0.0647478i
\(293\) −9.42419 9.94900i −0.550567 0.581227i 0.390008 0.920811i \(-0.372472\pi\)
−0.940576 + 0.339585i \(0.889714\pi\)
\(294\) 4.66920 + 6.09316i 0.272313 + 0.355360i
\(295\) 0.568433 + 2.93325i 0.0330955 + 0.170780i
\(296\) 13.0248i 0.757049i
\(297\) −5.08656 + 11.3379i −0.295152 + 0.657890i
\(298\) −13.7914 + 3.03573i −0.798917 + 0.175855i
\(299\) −47.3021 2.56465i −2.73555 0.148317i
\(300\) −7.85729 + 4.20469i −0.453641 + 0.242758i
\(301\) −5.51813 3.74138i −0.318060 0.215650i
\(302\) 0.566569 + 0.300376i 0.0326024 + 0.0172847i
\(303\) 4.53609 20.9942i 0.260591 1.20608i
\(304\) 3.92401 1.81544i 0.225057 0.104123i
\(305\) −0.672427 0.991755i −0.0385030 0.0567877i
\(306\) 19.0497 + 2.97188i 1.08900 + 0.169891i
\(307\) 1.39049 + 8.48163i 0.0793596 + 0.484072i 0.996364 + 0.0851955i \(0.0271515\pi\)
−0.917005 + 0.398876i \(0.869400\pi\)
\(308\) 3.58729 + 1.65966i 0.204405 + 0.0945677i
\(309\) −2.62994 1.98322i −0.149612 0.112822i
\(310\) 0.165862 + 3.05915i 0.00942034 + 0.173748i
\(311\) −0.678428 + 6.23804i −0.0384701 + 0.353727i 0.959044 + 0.283258i \(0.0914152\pi\)
−0.997514 + 0.0704693i \(0.977550\pi\)
\(312\) −31.5883 14.4662i −1.78834 0.818989i
\(313\) −4.93160 1.96493i −0.278751 0.111064i 0.226573 0.973994i \(-0.427248\pi\)
−0.505324 + 0.862930i \(0.668627\pi\)
\(314\) 4.11847 + 6.84495i 0.232419 + 0.386283i
\(315\) −1.61239 0.838919i −0.0908479 0.0472677i
\(316\) 2.74136 9.87347i 0.154213 0.555426i
\(317\) −9.30985 7.90786i −0.522893 0.444149i 0.346659 0.937991i \(-0.387316\pi\)
−0.869552 + 0.493842i \(0.835592\pi\)
\(318\) 8.73040 + 5.20702i 0.489577 + 0.291995i
\(319\) −3.98651 + 5.24416i −0.223201 + 0.293617i
\(320\) −0.812988 + 2.41286i −0.0454474 + 0.134883i
\(321\) 4.32609 6.43395i 0.241459 0.359108i
\(322\) 8.41592 6.39761i 0.469001 0.356525i
\(323\) −19.6673 + 32.6873i −1.09432 + 1.81877i
\(324\) −2.69703 9.16146i −0.149835 0.508970i
\(325\) 22.5501 23.8059i 1.25086 1.32051i
\(326\) −0.699533 0.420895i −0.0387435 0.0233112i
\(327\) 6.80021 24.8649i 0.376053 1.37503i
\(328\) 4.57745 + 13.5854i 0.252747 + 0.750127i
\(329\) 3.80077 + 1.28063i 0.209543 + 0.0706033i
\(330\) −1.56120 + 0.00603949i −0.0859411 + 0.000332463i
\(331\) −0.702301 1.76264i −0.0386020 0.0968836i 0.908412 0.418076i \(-0.137296\pi\)
−0.947014 + 0.321193i \(0.895916\pi\)
\(332\) 7.81747 9.20344i 0.429039 0.505104i
\(333\) −6.70420 + 11.3402i −0.367388 + 0.621437i
\(334\) −1.75298 + 7.96385i −0.0959186 + 0.435763i
\(335\) 1.23200 0.741271i 0.0673115 0.0405000i
\(336\) 1.95196 0.550101i 0.106488 0.0300105i
\(337\) −17.2916 + 9.16744i −0.941935 + 0.499382i −0.867276 0.497827i \(-0.834131\pi\)
−0.0746584 + 0.997209i \(0.523787\pi\)
\(338\) 31.5330 + 3.42942i 1.71517 + 0.186536i
\(339\) −9.69270 + 8.29782i −0.526435 + 0.450676i
\(340\) −0.732409 2.63790i −0.0397205 0.143060i
\(341\) −8.16230 + 17.6425i −0.442013 + 0.955396i
\(342\) −16.6344 1.67898i −0.899484 0.0907890i
\(343\) −17.9215 + 1.94908i −0.967670 + 0.105240i
\(344\) 10.5083 7.12481i 0.566570 0.384144i
\(345\) 2.19443 4.17811i 0.118144 0.224942i
\(346\) 9.61514 + 11.3198i 0.516913 + 0.608557i
\(347\) 8.63489 16.2871i 0.463545 0.874339i −0.536001 0.844217i \(-0.680066\pi\)
0.999546 0.0301215i \(-0.00958941\pi\)
\(348\) −0.293636 5.05406i −0.0157406 0.270926i
\(349\) 20.6211 + 3.38066i 1.10382 + 0.180963i 0.686026 0.727577i \(-0.259354\pi\)
0.417798 + 0.908540i \(0.362802\pi\)
\(350\) −0.396168 + 7.30690i −0.0211761 + 0.390570i
\(351\) 20.0566 + 28.8546i 1.07054 + 1.54014i
\(352\) −9.03491 + 8.55832i −0.481562 + 0.456160i
\(353\) −6.46249 −0.343964 −0.171982 0.985100i \(-0.555017\pi\)
−0.171982 + 0.985100i \(0.555017\pi\)
\(354\) 5.16151 + 11.8126i 0.274331 + 0.627834i
\(355\) −1.15840 −0.0614813
\(356\) −2.48163 + 2.35073i −0.131526 + 0.124588i
\(357\) −11.5310 + 13.6823i −0.610286 + 0.724144i
\(358\) 1.33389 24.6021i 0.0704982 1.30026i
\(359\) 14.6048 + 2.39434i 0.770814 + 0.126368i 0.534340 0.845269i \(-0.320560\pi\)
0.236473 + 0.971638i \(0.424008\pi\)
\(360\) 2.62062 2.26111i 0.138119 0.119171i
\(361\) 6.59530 12.4401i 0.347121 0.654740i
\(362\) −3.14500 3.70258i −0.165298 0.194603i
\(363\) 8.09755 + 4.25300i 0.425011 + 0.223225i
\(364\) 9.25137 6.27258i 0.484904 0.328773i
\(365\) 0.412853 0.0449005i 0.0216097 0.00235020i
\(366\) −3.76696 3.54071i −0.196902 0.185076i
\(367\) 7.61735 16.4646i 0.397623 0.859447i −0.600583 0.799563i \(-0.705065\pi\)
0.998205 0.0598845i \(-0.0190732\pi\)
\(368\) 1.40872 + 5.07375i 0.0734346 + 0.264487i
\(369\) 3.00736 14.1844i 0.156557 0.738411i
\(370\) −1.64537 0.178944i −0.0855385 0.00930288i
\(371\) −8.33514 + 4.41901i −0.432739 + 0.229424i
\(372\) −4.05241 14.3794i −0.210108 0.745540i
\(373\) −5.46035 + 3.28538i −0.282726 + 0.170111i −0.649852 0.760060i \(-0.725169\pi\)
0.367126 + 0.930171i \(0.380342\pi\)
\(374\) −3.30398 + 15.0101i −0.170845 + 0.776155i
\(375\) 2.47984 + 6.15459i 0.128059 + 0.317822i
\(376\) −4.94455 + 5.82117i −0.254996 + 0.300204i
\(377\) 6.89495 + 17.3050i 0.355108 + 0.891254i
\(378\) −7.58001 2.01013i −0.389873 0.103390i
\(379\) 22.6380 + 7.62764i 1.16284 + 0.391805i 0.833560 0.552428i \(-0.186299\pi\)
0.329276 + 0.944234i \(0.393195\pi\)
\(380\) 0.758025 + 2.24974i 0.0388858 + 0.115409i
\(381\) 10.6394 + 2.90974i 0.545074 + 0.149070i
\(382\) −15.0077 9.02981i −0.767859 0.462005i
\(383\) 8.04383 8.49177i 0.411021 0.433909i −0.487310 0.873229i \(-0.662022\pi\)
0.898331 + 0.439320i \(0.144781\pi\)
\(384\) 0.734183 7.00263i 0.0374661 0.357351i
\(385\) 0.746992 1.24151i 0.0380702 0.0632732i
\(386\) 8.51845 6.47556i 0.433578 0.329597i
\(387\) −12.8165 + 0.794387i −0.651500 + 0.0403810i
\(388\) −1.42180 + 4.21976i −0.0721811 + 0.214226i
\(389\) 22.2292 29.2420i 1.12706 1.48263i 0.273328 0.961921i \(-0.411876\pi\)
0.853736 0.520706i \(-0.174331\pi\)
\(390\) −2.26144 + 3.79168i −0.114513 + 0.191999i
\(391\) −35.4100 30.0775i −1.79076 1.52108i
\(392\) 3.62955 13.0724i 0.183320 0.660258i
\(393\) −10.1218 21.6576i −0.510577 1.09248i
\(394\) −4.11862 6.84520i −0.207493 0.344856i
\(395\) −3.48947 1.39033i −0.175574 0.0699551i
\(396\) 7.42222 1.69407i 0.372981 0.0851300i
\(397\) −2.06146 + 18.9548i −0.103461 + 0.951313i 0.821231 + 0.570597i \(0.193288\pi\)
−0.924692 + 0.380716i \(0.875678\pi\)
\(398\) 0.305540 + 5.63535i 0.0153153 + 0.282475i
\(399\) 9.34221 12.3887i 0.467696 0.620209i
\(400\) −3.30803 1.53046i −0.165402 0.0765230i
\(401\) 1.28974 + 7.86709i 0.0644067 + 0.392864i 0.999282 + 0.0378873i \(0.0120628\pi\)
−0.934875 + 0.354976i \(0.884489\pi\)
\(402\) 4.48718 4.28354i 0.223800 0.213644i
\(403\) 30.8490 + 45.4988i 1.53670 + 2.26646i
\(404\) −11.9426 + 5.52523i −0.594166 + 0.274890i
\(405\) −3.44553 + 0.619759i −0.171210 + 0.0307961i
\(406\) −3.67282 1.94721i −0.182279 0.0966382i
\(407\) −8.69207 5.89337i −0.430850 0.292123i
\(408\) −16.0772 30.0434i −0.795939 1.48737i
\(409\) 10.9989 + 0.596345i 0.543863 + 0.0294874i 0.324024 0.946049i \(-0.394964\pi\)
0.219839 + 0.975536i \(0.429447\pi\)
\(410\) 1.77907 0.391604i 0.0878622 0.0193399i
\(411\) 4.29126 26.8251i 0.211672 1.32319i
\(412\) 2.01799i 0.0994193i
\(413\) −11.8572 1.59332i −0.583456 0.0784022i
\(414\) 5.29539 19.6611i 0.260254 0.966292i
\(415\) −3.04411 3.21362i −0.149429 0.157751i
\(416\) 7.56526 + 34.3693i 0.370917 + 1.68510i
\(417\) −8.29307 + 5.66979i −0.406113 + 0.277651i
\(418\) 2.15619 13.1522i 0.105463 0.643294i
\(419\) 7.31750 10.7925i 0.357483 0.527248i −0.605842 0.795585i \(-0.707164\pi\)
0.963325 + 0.268337i \(0.0864740\pi\)
\(420\) 0.184399 + 1.09816i 0.00899774 + 0.0535845i
\(421\) −4.81275 + 4.08799i −0.234559 + 0.199236i −0.756955 0.653466i \(-0.773314\pi\)
0.522396 + 0.852703i \(0.325038\pi\)
\(422\) −0.791869 1.71160i −0.0385476 0.0833192i
\(423\) 7.30134 2.52318i 0.355003 0.122681i
\(424\) −1.94242 17.8603i −0.0943323 0.867371i
\(425\) 31.7360 5.20285i 1.53942 0.252375i
\(426\) −4.87690 + 1.09329i −0.236287 + 0.0529698i
\(427\) 4.62303 1.28358i 0.223724 0.0621167i
\(428\) −4.74294 + 0.257155i −0.229259 + 0.0124300i
\(429\) −23.9469 + 14.5349i −1.15617 + 0.701749i
\(430\) −0.755677 1.42536i −0.0364420 0.0687369i
\(431\) −0.0511931 + 0.128485i −0.00246589 + 0.00618891i −0.930205 0.367042i \(-0.880371\pi\)
0.927739 + 0.373231i \(0.121750\pi\)
\(432\) 2.32763 3.13685i 0.111988 0.150922i
\(433\) 0.916138 + 0.201657i 0.0440268 + 0.00969103i 0.236929 0.971527i \(-0.423859\pi\)
−0.192902 + 0.981218i \(0.561790\pi\)
\(434\) −11.8203 3.28188i −0.567391 0.157535i
\(435\) −1.85345 0.0933015i −0.0888662 0.00447347i
\(436\) −14.6711 + 5.84551i −0.702620 + 0.279949i
\(437\) 32.0731 + 24.3813i 1.53426 + 1.16632i
\(438\) 1.69576 0.578681i 0.0810264 0.0276505i
\(439\) 22.1256 7.45498i 1.05600 0.355807i 0.262850 0.964837i \(-0.415338\pi\)
0.793147 + 0.609030i \(0.208441\pi\)
\(440\) 1.66979 + 2.19658i 0.0796043 + 0.104718i
\(441\) −9.88885 + 9.51345i −0.470898 + 0.453021i
\(442\) 31.5535 + 29.8891i 1.50085 + 1.42168i
\(443\) 9.43910 + 8.94119i 0.448465 + 0.424809i 0.878308 0.478095i \(-0.158672\pi\)
−0.429843 + 0.902904i \(0.641431\pi\)
\(444\) 8.02004 0.903638i 0.380614 0.0428848i
\(445\) 0.758302 + 0.997529i 0.0359470 + 0.0472874i
\(446\) 1.80775 0.609102i 0.0855994 0.0288418i
\(447\) −8.15264 23.8903i −0.385606 1.12997i
\(448\) −8.11637 6.16991i −0.383463 0.291501i
\(449\) 34.7121 13.8306i 1.63817 0.652705i 0.644451 0.764646i \(-0.277086\pi\)
0.993715 + 0.111941i \(0.0357068\pi\)
\(450\) 7.99964 + 11.6043i 0.377107 + 0.547031i
\(451\) 11.1374 + 3.09227i 0.524438 + 0.145610i
\(452\) 7.63423 + 1.68042i 0.359084 + 0.0790404i
\(453\) −0.420167 + 1.06652i −0.0197412 + 0.0501095i
\(454\) −2.22209 + 5.57701i −0.104288 + 0.261742i
\(455\) −1.91921 3.62001i −0.0899738 0.169709i
\(456\) 15.3315 + 25.2594i 0.717961 + 1.18288i
\(457\) 36.4104 1.97411i 1.70321 0.0923452i 0.823335 0.567556i \(-0.192111\pi\)
0.879872 + 0.475211i \(0.157628\pi\)
\(458\) −14.2264 + 3.94995i −0.664758 + 0.184569i
\(459\) −1.46635 + 34.4330i −0.0684434 + 1.60719i
\(460\) −2.85319 + 0.467757i −0.133031 + 0.0218093i
\(461\) 0.940833 + 8.65081i 0.0438189 + 0.402909i 0.995422 + 0.0955784i \(0.0304701\pi\)
−0.951603 + 0.307330i \(0.900564\pi\)
\(462\) 1.97314 5.93182i 0.0917990 0.275973i
\(463\) −9.84329 21.2759i −0.457456 0.988776i −0.989829 0.142265i \(-0.954561\pi\)
0.532372 0.846510i \(-0.321301\pi\)
\(464\) 1.57816 1.34050i 0.0732643 0.0622313i
\(465\) −5.40080 + 0.906885i −0.250456 + 0.0420558i
\(466\) 4.77573 7.04368i 0.221232 0.326292i
\(467\) 3.09122 18.8556i 0.143044 0.872533i −0.813632 0.581380i \(-0.802513\pi\)
0.956677 0.291153i \(-0.0940387\pi\)
\(468\) 6.71608 20.4543i 0.310451 0.945499i
\(469\) 1.23765 + 5.62269i 0.0571493 + 0.259632i
\(470\) 0.667433 + 0.704601i 0.0307864 + 0.0325008i
\(471\) −11.3345 + 8.68565i −0.522266 + 0.400213i
\(472\) 11.1764 19.8532i 0.514437 0.913819i
\(473\) 10.2365i 0.470675i
\(474\) −16.0030 2.56003i −0.735042 0.117586i
\(475\) −27.2355 + 5.99498i −1.24965 + 0.275069i
\(476\) 10.9462 + 0.593484i 0.501716 + 0.0272023i
\(477\) −7.50197 + 16.5501i −0.343492 + 0.757775i
\(478\) −4.37808 2.96841i −0.200249 0.135772i
\(479\) −28.5070 15.1134i −1.30252 0.690551i −0.334728 0.942315i \(-0.608644\pi\)
−0.967789 + 0.251764i \(0.918989\pi\)
\(480\) −3.42689 0.740429i −0.156416 0.0337958i
\(481\) −26.9522 + 12.4694i −1.22891 + 0.568556i
\(482\) −10.4354 15.3911i −0.475320 0.701044i
\(483\) 13.0485 + 13.6689i 0.593729 + 0.621955i
\(484\) −0.906555 5.52974i −0.0412070 0.251352i
\(485\) 1.48143 + 0.685380i 0.0672680 + 0.0311215i
\(486\) −13.9209 + 5.86108i −0.631466 + 0.265864i
\(487\) 0.855786 + 15.7840i 0.0387793 + 0.715243i 0.951686 + 0.307074i \(0.0993499\pi\)
−0.912906 + 0.408169i \(0.866167\pi\)
\(488\) −0.987860 + 9.08322i −0.0447183 + 0.411178i
\(489\) 0.607635 1.32683i 0.0274782 0.0600012i
\(490\) −1.60152 0.638105i −0.0723495 0.0288267i
\(491\) −7.79558 12.9564i −0.351809 0.584712i 0.629534 0.776973i \(-0.283246\pi\)
−0.981344 + 0.192261i \(0.938418\pi\)
\(492\) −8.04767 + 3.76111i −0.362817 + 0.169564i
\(493\) −4.88762 + 17.6036i −0.220127 + 0.792827i
\(494\) −28.7250 24.3992i −1.29240 1.09777i
\(495\) −0.323188 2.77197i −0.0145262 0.124591i
\(496\) 3.69786 4.86445i 0.166039 0.218420i
\(497\) 1.48106 4.39564i 0.0664347 0.197171i
\(498\) −15.8488 10.6565i −0.710203 0.477530i
\(499\) −16.4992 + 12.5424i −0.738607 + 0.561474i −0.905421 0.424514i \(-0.860445\pi\)
0.166815 + 0.985988i \(0.446652\pi\)
\(500\) 2.09580 3.48325i 0.0937272 0.155776i
\(501\) −14.4971 1.51994i −0.647684 0.0679057i
\(502\) 6.37069 6.72545i 0.284338 0.300172i
\(503\) −16.8882 10.1613i −0.753009 0.453070i 0.0866128 0.996242i \(-0.472396\pi\)
−0.839622 + 0.543172i \(0.817223\pi\)
\(504\) 5.22941 + 12.8351i 0.232936 + 0.571722i
\(505\) 1.54019 + 4.57113i 0.0685376 + 0.203412i
\(506\) 15.3820 + 5.18281i 0.683815 + 0.230404i
\(507\) 0.219339 + 56.6987i 0.00974119 + 2.51808i
\(508\) −2.50123 6.27762i −0.110974 0.278524i
\(509\) −24.8867 + 29.2989i −1.10308 + 1.29865i −0.152458 + 0.988310i \(0.548719\pi\)
−0.950626 + 0.310340i \(0.899557\pi\)
\(510\) −4.01614 + 1.61821i −0.177838 + 0.0716554i
\(511\) −0.357473 + 1.62402i −0.0158137 + 0.0718422i
\(512\) 7.17297 4.31583i 0.317003 0.190735i
\(513\) −0.346831 29.8839i −0.0153130 1.31941i
\(514\) −20.3591 + 10.7937i −0.898001 + 0.476090i
\(515\) 0.735401 + 0.0799797i 0.0324056 + 0.00352433i
\(516\) 5.11617 + 5.97622i 0.225227 + 0.263088i
\(517\) 1.64747 + 5.93367i 0.0724559 + 0.260962i
\(518\) 2.78270 6.01470i 0.122265 0.264271i
\(519\) −18.1831 + 19.3450i −0.798151 + 0.849153i
\(520\) 7.75684 0.843607i 0.340160 0.0369946i
\(521\) 36.4222 24.6949i 1.59569 1.08190i 0.648503 0.761212i \(-0.275395\pi\)
0.947184 0.320690i \(-0.103915\pi\)
\(522\) −7.89117 + 1.35647i −0.345387 + 0.0593710i
\(523\) −7.05287 8.30329i −0.308401 0.363077i 0.586026 0.810292i \(-0.300692\pi\)
−0.894426 + 0.447215i \(0.852416\pi\)
\(524\) −6.86030 + 12.9399i −0.299694 + 0.565282i
\(525\) −13.0586 + 0.758694i −0.569925 + 0.0331121i
\(526\) 26.3590 + 4.32133i 1.14931 + 0.188419i
\(527\) −2.91879 + 53.8339i −0.127145 + 2.34504i
\(528\) 2.38102 + 2.00665i 0.103620 + 0.0873281i
\(529\) −18.9241 + 17.9259i −0.822787 + 0.779385i
\(530\) −2.28290 −0.0991629
\(531\) −19.9499 + 11.5326i −0.865751 + 0.500474i
\(532\) −9.50599 −0.412137
\(533\) 23.7300 22.4782i 1.02786 0.973641i
\(534\) 4.13395 + 3.48397i 0.178893 + 0.150766i
\(535\) −0.0942655 + 1.73863i −0.00407545 + 0.0751673i
\(536\) −10.8193 1.77374i −0.467323 0.0766138i
\(537\) 43.9680 2.55450i 1.89736 0.110235i
\(538\) −2.34933 + 4.43130i −0.101287 + 0.191047i
\(539\) −7.08161 8.33711i −0.305027 0.359105i
\(540\) 1.57410 + 1.45678i 0.0677386 + 0.0626900i
\(541\) −4.76869 + 3.23325i −0.205022 + 0.139008i −0.659377 0.751812i \(-0.729180\pi\)
0.454355 + 0.890821i \(0.349870\pi\)
\(542\) 29.3575 3.19282i 1.26101 0.137144i
\(543\) 5.94750 6.32755i 0.255232 0.271541i
\(544\) −14.4924 + 31.3248i −0.621356 + 1.34304i
\(545\) 1.54877 + 5.57817i 0.0663420 + 0.238942i
\(546\) −11.4965 13.4291i −0.492005 0.574712i
\(547\) 8.96162 + 0.974635i 0.383171 + 0.0416724i 0.297678 0.954666i \(-0.403788\pi\)
0.0854934 + 0.996339i \(0.472753\pi\)
\(548\) −14.7045 + 7.79584i −0.628145 + 0.333022i
\(549\) 5.53547 7.39994i 0.236248 0.315822i
\(550\) −9.62732 + 5.79257i −0.410510 + 0.246996i
\(551\) 3.40569 15.4722i 0.145087 0.659138i
\(552\) −33.3786 + 13.4491i −1.42069 + 0.572433i
\(553\) 9.73717 11.4635i 0.414067 0.487477i
\(554\) −0.294572 0.739321i −0.0125152 0.0314107i
\(555\) −0.0114449 2.95850i −0.000485811 0.125581i
\(556\) 5.83244 + 1.96518i 0.247351 + 0.0833421i
\(557\) 7.14631 + 21.2095i 0.302799 + 0.898675i 0.985751 + 0.168212i \(0.0537992\pi\)
−0.682952 + 0.730463i \(0.739304\pi\)
\(558\) −21.8817 + 8.91527i −0.926328 + 0.377413i
\(559\) −24.8036 14.9238i −1.04908 0.631212i
\(560\) −0.313208 + 0.330650i −0.0132355 + 0.0139725i
\(561\) −27.3239 2.86475i −1.15362 0.120950i
\(562\) 4.08316 6.78626i 0.172237 0.286261i
\(563\) −26.3463 + 20.0279i −1.11036 + 0.844077i −0.988909 0.148520i \(-0.952549\pi\)
−0.121455 + 0.992597i \(0.538756\pi\)
\(564\) −3.92745 2.64076i −0.165376 0.111196i
\(565\) 0.914953 2.71548i 0.0384924 0.114241i
\(566\) −17.4829 + 22.9984i −0.734861 + 0.966694i
\(567\) 2.05354 13.8668i 0.0862406 0.582349i
\(568\) 6.73225 + 5.71843i 0.282479 + 0.239940i
\(569\) −7.53015 + 27.1212i −0.315680 + 1.13698i 0.620137 + 0.784493i \(0.287077\pi\)
−0.935818 + 0.352485i \(0.885337\pi\)
\(570\) 3.40155 1.58973i 0.142475 0.0665864i
\(571\) −1.98089 3.29226i −0.0828976 0.137777i 0.812635 0.582773i \(-0.198032\pi\)
−0.895532 + 0.444997i \(0.853205\pi\)
\(572\) 15.9430 + 6.35228i 0.666611 + 0.265602i
\(573\) 13.0361 28.4655i 0.544591 1.18916i
\(574\) −0.788652 + 7.25154i −0.0329177 + 0.302673i
\(575\) −1.83877 33.9140i −0.0766818 1.41431i
\(576\) −19.6365 + 0.151930i −0.818186 + 0.00633040i
\(577\) −40.1573 18.5788i −1.67177 0.773444i −0.999449 0.0331860i \(-0.989435\pi\)
−0.672323 0.740258i \(-0.734703\pi\)
\(578\) 4.23121 + 25.8092i 0.175995 + 1.07352i
\(579\) 13.2075 + 13.8354i 0.548885 + 0.574980i
\(580\) 0.638039 + 0.941037i 0.0264931 + 0.0390745i
\(581\) 16.0864 7.44236i 0.667377 0.308761i
\(582\) 6.88373 + 1.48733i 0.285340 + 0.0616517i
\(583\) −12.7979 6.78503i −0.530036 0.281007i
\(584\) −2.62103 1.77710i −0.108459 0.0735371i
\(585\) −7.18781 3.25816i −0.297179 0.134708i
\(586\) 13.2590 + 0.718881i 0.547723 + 0.0296967i
\(587\) 29.5588 6.50638i 1.22002 0.268547i 0.442133 0.896949i \(-0.354222\pi\)
0.777889 + 0.628402i \(0.216291\pi\)
\(588\) 8.30121 + 1.32796i 0.342336 + 0.0547641i
\(589\) 46.7511i 1.92635i
\(590\) −2.35443 1.68463i −0.0969303 0.0693552i
\(591\) 11.3349 8.68596i 0.466256 0.357293i
\(592\) 2.27011 + 2.39653i 0.0933010 + 0.0984966i
\(593\) −2.65354 12.0552i −0.108968 0.495046i −0.999217 0.0395715i \(-0.987401\pi\)
0.890249 0.455474i \(-0.150530\pi\)
\(594\) −3.97680 11.3651i −0.163170 0.466315i
\(595\) 0.650111 3.96550i 0.0266520 0.162570i
\(596\) −8.67879 + 12.8003i −0.355497 + 0.524319i
\(597\) −9.94899 + 1.67060i −0.407185 + 0.0683731i
\(598\) 34.9838 29.7155i 1.43059 1.21516i
\(599\) −15.8232 34.2013i −0.646519 1.39743i −0.902476 0.430740i \(-0.858253\pi\)
0.255957 0.966688i \(-0.417609\pi\)
\(600\) 7.86235 23.6364i 0.320979 0.964952i
\(601\) 2.29052 + 21.0610i 0.0934323 + 0.859096i 0.943264 + 0.332043i \(0.107738\pi\)
−0.849832 + 0.527054i \(0.823297\pi\)
\(602\) 6.37481 1.04510i 0.259818 0.0425950i
\(603\) 8.50698 + 7.11332i 0.346431 + 0.289677i
\(604\) 0.676679 0.187879i 0.0275337 0.00764468i
\(605\) −2.05109 + 0.111207i −0.0833887 + 0.00452120i
\(606\) 10.7985 + 17.7910i 0.438658 + 0.722712i
\(607\) 15.3781 + 29.0062i 0.624178 + 1.17732i 0.970929 + 0.239367i \(0.0769399\pi\)
−0.346752 + 0.937957i \(0.612715\pi\)
\(608\) 11.0782 27.8041i 0.449279 1.12760i
\(609\) 2.72376 6.91379i 0.110372 0.280161i
\(610\) 1.13387 + 0.249585i 0.0459093 + 0.0101054i
\(611\) 16.7795 + 4.65880i 0.678825 + 0.188475i
\(612\) 17.3839 11.9839i 0.702702 0.484422i
\(613\) −8.00819 + 3.19075i −0.323448 + 0.128873i −0.526210 0.850355i \(-0.676387\pi\)
0.202762 + 0.979228i \(0.435008\pi\)
\(614\) −6.62986 5.03989i −0.267559 0.203393i
\(615\) 1.05168 + 3.08182i 0.0424077 + 0.124271i
\(616\) −10.4700 + 3.52776i −0.421849 + 0.142137i
\(617\) 4.46183 + 5.86943i 0.179626 + 0.236294i 0.877090 0.480325i \(-0.159481\pi\)
−0.697464 + 0.716620i \(0.745688\pi\)
\(618\) 3.17156 0.357347i 0.127579 0.0143746i
\(619\) −0.678109 0.642339i −0.0272555 0.0258178i 0.673951 0.738776i \(-0.264596\pi\)
−0.701206 + 0.712959i \(0.747355\pi\)
\(620\) 2.43579 + 2.30730i 0.0978236 + 0.0926634i
\(621\) 35.9841 + 5.47126i 1.44399 + 0.219554i
\(622\) −3.67946 4.84025i −0.147533 0.194076i
\(623\) −4.75474 + 1.60206i −0.190494 + 0.0641851i
\(624\) 8.33352 2.84384i 0.333608 0.113845i
\(625\) 18.1137 + 13.7697i 0.724550 + 0.550788i
\(626\) 4.77848 1.90392i 0.190987 0.0760960i
\(627\) 23.7939 + 1.19777i 0.950237 + 0.0478343i
\(628\) 8.42954 + 2.34045i 0.336375 + 0.0933941i
\(629\) −28.4444 6.26110i −1.13415 0.249646i
\(630\) 1.69325 0.484271i 0.0674609 0.0192938i
\(631\) 7.41668 18.6145i 0.295253 0.741030i −0.704263 0.709939i \(-0.748723\pi\)
0.999517 0.0310909i \(-0.00989815\pi\)
\(632\) 13.4164 + 25.3059i 0.533674 + 1.00662i
\(633\) 2.88184 1.74917i 0.114543 0.0695232i
\(634\) 11.8184 0.640777i 0.469370 0.0254485i
\(635\) −2.38684 + 0.662702i −0.0947188 + 0.0262985i
\(636\) 10.8628 2.43517i 0.430736 0.0965607i
\(637\) −30.5256 + 5.00442i −1.20947 + 0.198282i
\(638\) −0.690107 6.34542i −0.0273216 0.251218i
\(639\) −2.91809 8.44409i −0.115438 0.334043i
\(640\) 0.663953 + 1.43511i 0.0262450 + 0.0567277i
\(641\) −12.9705 + 11.0173i −0.512305 + 0.435155i −0.865881 0.500250i \(-0.833241\pi\)
0.353576 + 0.935406i \(0.384965\pi\)
\(642\) 1.24404 + 7.40867i 0.0490983 + 0.292397i
\(643\) −13.9379 + 20.5569i −0.549657 + 0.810683i −0.996470 0.0839439i \(-0.973248\pi\)
0.446814 + 0.894627i \(0.352559\pi\)
\(644\) 1.87299 11.4247i 0.0738062 0.450198i
\(645\) 2.38064 1.62759i 0.0937375 0.0640863i
\(646\) −7.94605 36.0993i −0.312633 1.42031i
\(647\) −17.0796 18.0308i −0.671470 0.708863i 0.297864 0.954608i \(-0.403726\pi\)
−0.969334 + 0.245746i \(0.920967\pi\)
\(648\) 23.0838 + 13.4070i 0.906819 + 0.526678i
\(649\) −8.19200 16.4417i −0.321564 0.645391i
\(650\) 31.7726i 1.24622i
\(651\) 3.46392 21.6533i 0.135762 0.848660i
\(652\) −0.873159 + 0.192197i −0.0341955 + 0.00752701i
\(653\) 13.7515 + 0.745587i 0.538140 + 0.0291771i 0.321206 0.947009i \(-0.395912\pi\)
0.216934 + 0.976186i \(0.430395\pi\)
\(654\) 11.7850 + 22.0226i 0.460831 + 0.861153i
\(655\) 4.44369 + 3.01290i 0.173630 + 0.117724i
\(656\) −3.21006 1.70187i −0.125332 0.0664467i
\(657\) 1.36731 + 2.89637i 0.0533438 + 0.112998i
\(658\) −3.52701 + 1.63177i −0.137497 + 0.0636130i
\(659\) −9.42895 13.9067i −0.367300 0.541727i 0.598464 0.801150i \(-0.295778\pi\)
−0.965764 + 0.259423i \(0.916468\pi\)
\(660\) −1.23670 + 1.18058i −0.0481386 + 0.0459539i
\(661\) −7.49535 45.7196i −0.291535 1.77829i −0.573845 0.818964i \(-0.694549\pi\)
0.282310 0.959323i \(-0.408899\pi\)
\(662\) 1.66857 + 0.771963i 0.0648508 + 0.0300032i
\(663\) −46.7771 + 62.0309i −1.81667 + 2.40908i
\(664\) 1.82737 + 33.7039i 0.0709157 + 1.30796i
\(665\) −0.376754 + 3.46420i −0.0146099 + 0.134336i
\(666\) −2.84039 12.4446i −0.110063 0.482219i
\(667\) 17.9242 + 7.14164i 0.694026 + 0.276525i
\(668\) 4.60404 + 7.65197i 0.178136 + 0.296064i
\(669\) 1.44376 + 3.08922i 0.0558190 + 0.119436i
\(670\) −0.372713 + 1.34239i −0.0143992 + 0.0518611i
\(671\) 5.61470 + 4.76917i 0.216753 + 0.184112i
\(672\) 7.19106 12.0570i 0.277401 0.465108i
\(673\) 20.2408 26.6264i 0.780227 1.02637i −0.218495 0.975838i \(-0.570115\pi\)
0.998722 0.0505332i \(-0.0160921\pi\)
\(674\) 6.05517 17.9711i 0.233236 0.692221i
\(675\) −19.0118 + 16.5324i −0.731763 + 0.636331i
\(676\) 27.6535 21.0216i 1.06359 0.808524i
\(677\) 9.96760 16.5663i 0.383086 0.636694i −0.603982 0.796998i \(-0.706420\pi\)
0.987068 + 0.160304i \(0.0512475\pi\)
\(678\) 1.28914 12.2958i 0.0495093 0.472219i
\(679\) −4.49481 + 4.74511i −0.172495 + 0.182101i
\(680\) 6.55703 + 3.94523i 0.251450 + 0.151293i
\(681\) −10.3512 2.83093i −0.396661 0.108481i
\(682\) −6.01424 17.8496i −0.230297 0.683498i
\(683\) 35.2363 + 11.8725i 1.34828 + 0.454288i 0.898548 0.438876i \(-0.144623\pi\)
0.449732 + 0.893164i \(0.351520\pi\)
\(684\) −14.4899 + 11.1928i −0.554034 + 0.427969i
\(685\) 2.25819 + 5.66763i 0.0862810 + 0.216549i
\(686\) 11.3082 13.3130i 0.431749 0.508294i
\(687\) −9.86364 24.4800i −0.376322 0.933972i
\(688\) −0.691708 + 3.14246i −0.0263711 + 0.119805i
\(689\) −35.0987 + 21.1182i −1.33715 + 0.804538i
\(690\) 1.24039 + 4.40136i 0.0472209 + 0.167557i
\(691\) −5.02110 + 2.66202i −0.191012 + 0.101268i −0.561170 0.827701i \(-0.689648\pi\)
0.370158 + 0.928969i \(0.379304\pi\)
\(692\) 16.1699 + 1.75858i 0.614686 + 0.0668511i
\(693\) 10.9317 + 2.31772i 0.415260 + 0.0880428i
\(694\) 4.77863 + 17.2111i 0.181394 + 0.653324i
\(695\) 0.947314 2.04759i 0.0359337 0.0776694i
\(696\) 10.3111 + 9.69181i 0.390842 + 0.367367i
\(697\) 31.8692 3.46598i 1.20713 0.131283i
\(698\) −16.7587 + 11.3627i −0.634327 + 0.430084i
\(699\) 13.4676 + 7.07346i 0.509391 + 0.267543i
\(700\) 5.18802 + 6.10781i 0.196089 + 0.230853i
\(701\) 3.94099 7.43350i 0.148849 0.280760i −0.797864 0.602838i \(-0.794037\pi\)
0.946713 + 0.322078i \(0.104381\pi\)
\(702\) −33.3361 6.93321i −1.25819 0.261677i
\(703\) 24.9236 + 4.08602i 0.940011 + 0.154107i
\(704\) 0.847490 15.6310i 0.0319410 0.589117i
\(705\) −1.11801 + 1.32659i −0.0421067 + 0.0499622i
\(706\) 4.54607 4.30626i 0.171094 0.162068i
\(707\) −19.3147 −0.726406
\(708\) 13.0001 + 5.50454i 0.488574 + 0.206873i
\(709\) 11.2534 0.422630 0.211315 0.977418i \(-0.432225\pi\)
0.211315 + 0.977418i \(0.432225\pi\)
\(710\) 0.814879 0.771894i 0.0305819 0.0289687i
\(711\) 1.34454 28.9387i 0.0504243 1.08529i
\(712\) 0.517282 9.54070i 0.0193860 0.357553i
\(713\) 56.1876 + 9.21149i 2.10424 + 0.344973i
\(714\) −1.00561 17.3085i −0.0376340 0.647756i
\(715\) 2.94679 5.55823i 0.110204 0.207866i
\(716\) −17.4679 20.5648i −0.652807 0.768544i
\(717\) 4.39659 8.37093i 0.164194 0.312618i
\(718\) −11.8693 + 8.04758i −0.442958 + 0.300333i
\(719\) 23.2266 2.52605i 0.866208 0.0942058i 0.335785 0.941939i \(-0.390999\pi\)
0.530423 + 0.847733i \(0.322033\pi\)
\(720\) −0.0880949 + 0.872792i −0.00328310 + 0.0325271i
\(721\) −1.24373 + 2.68829i −0.0463191 + 0.100117i
\(722\) 3.64991 + 13.1458i 0.135835 + 0.489235i
\(723\) 25.2508 21.6169i 0.939087 0.803942i
\(724\) −5.28898 0.575211i −0.196563 0.0213776i
\(725\) −11.7999 + 6.25592i −0.438238 + 0.232339i
\(726\) −8.53024 + 2.40399i −0.316587 + 0.0892204i
\(727\) −17.1081 + 10.2936i −0.634506 + 0.381770i −0.796167 0.605077i \(-0.793142\pi\)
0.161661 + 0.986846i \(0.448315\pi\)
\(728\) −6.71633 + 30.5126i −0.248924 + 1.13087i
\(729\) −13.1973 23.5549i −0.488788 0.872403i
\(730\) −0.260504 + 0.306689i −0.00964169 + 0.0113511i
\(731\) −10.5083 26.3738i −0.388662 0.975469i
\(732\) −5.66156 + 0.0219017i −0.209257 + 0.000809512i
\(733\) −41.1124 13.8524i −1.51852 0.511649i −0.568191 0.822897i \(-0.692357\pi\)
−0.950329 + 0.311248i \(0.899253\pi\)
\(734\) 5.61271 + 16.6579i 0.207169 + 0.614855i
\(735\) 0.812943 2.97252i 0.0299858 0.109643i
\(736\) 31.2335 + 18.7926i 1.15128 + 0.692703i
\(737\) −6.07916 + 6.41769i −0.223929 + 0.236399i
\(738\) 7.33620 + 11.9820i 0.270049 + 0.441064i
\(739\) −12.2569 + 20.3712i −0.450879 + 0.749366i −0.996034 0.0889685i \(-0.971643\pi\)
0.545156 + 0.838335i \(0.316471\pi\)
\(740\) −1.44294 + 1.09689i −0.0530434 + 0.0403226i
\(741\) 37.5915 55.9078i 1.38096 2.05382i
\(742\) 2.91879 8.66267i 0.107152 0.318017i
\(743\) −14.4375 + 18.9923i −0.529662 + 0.696758i −0.980649 0.195772i \(-0.937279\pi\)
0.450988 + 0.892530i \(0.351072\pi\)
\(744\) 35.8647 + 21.3905i 1.31486 + 0.784215i
\(745\) 4.32073 + 3.67006i 0.158299 + 0.134461i
\(746\) 1.65190 5.94960i 0.0604803 0.217831i
\(747\) 15.7573 30.2853i 0.576529 1.10808i
\(748\) 8.67761 + 14.4223i 0.317285 + 0.527331i
\(749\) −6.47685 2.58061i −0.236659 0.0942935i
\(750\) −5.84555 2.67704i −0.213449 0.0977515i
\(751\) 0.910982 8.37634i 0.0332422 0.305657i −0.965699 0.259662i \(-0.916389\pi\)
0.998942 0.0459947i \(-0.0146457\pi\)
\(752\) −0.104797 1.93288i −0.00382157 0.0704847i
\(753\) 13.2215 + 9.97029i 0.481820 + 0.363337i
\(754\) −16.3814 7.57886i −0.596577 0.276006i
\(755\) −0.0416483 0.254043i −0.00151574 0.00924557i
\(756\) −7.54046 + 4.11051i −0.274244 + 0.149498i
\(757\) −21.5667 31.8085i −0.783854 1.15610i −0.984319 0.176397i \(-0.943556\pi\)
0.200465 0.979701i \(-0.435755\pi\)
\(758\) −21.0075 + 9.71909i −0.763026 + 0.353013i
\(759\) −6.12771 + 28.3606i −0.222422 + 1.02942i
\(760\) −5.86286 3.10829i −0.212668 0.112750i
\(761\) 1.04718 + 0.710004i 0.0379601 + 0.0257376i 0.580020 0.814603i \(-0.303045\pi\)
−0.542059 + 0.840340i \(0.682355\pi\)
\(762\) −9.42325 + 5.04269i −0.341368 + 0.182677i
\(763\) −23.1470 1.25499i −0.837978 0.0454339i
\(764\) −18.7326 + 4.12336i −0.677722 + 0.149178i
\(765\) −3.67823 6.81004i −0.132987 0.246218i
\(766\) 11.3336i 0.409498i
\(767\) −51.7822 4.12069i −1.86975 0.148789i
\(768\) 17.9417 + 23.4134i 0.647416 + 0.844857i
\(769\) −3.59995 3.80042i −0.129817 0.137047i 0.657846 0.753153i \(-0.271468\pi\)
−0.787663 + 0.616106i \(0.788709\pi\)
\(770\) 0.301802 + 1.37110i 0.0108762 + 0.0494111i
\(771\) −23.2477 34.0038i −0.837245 1.22462i
\(772\) 1.89581 11.5639i 0.0682317 0.416195i
\(773\) 5.15149 7.59788i 0.185286