Properties

Label 177.2.f.a.23.13
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 23.13
Character \(\chi\) \(=\) 177.23
Dual form 177.2.f.a.77.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.703454 - 0.666347i) q^{2} +(-0.733345 + 1.56914i) q^{3} +(-0.0574486 + 1.05958i) q^{4} +(-0.383857 - 0.0629301i) q^{5} +(0.529719 + 1.59248i) q^{6} +(-0.729572 + 1.37612i) q^{7} +(1.92021 + 2.26064i) q^{8} +(-1.92441 - 2.30144i) q^{9} +O(q^{10})\) \(q+(0.703454 - 0.666347i) q^{2} +(-0.733345 + 1.56914i) q^{3} +(-0.0574486 + 1.05958i) q^{4} +(-0.383857 - 0.0629301i) q^{5} +(0.529719 + 1.59248i) q^{6} +(-0.729572 + 1.37612i) q^{7} +(1.92021 + 2.26064i) q^{8} +(-1.92441 - 2.30144i) q^{9} +(-0.311959 + 0.211513i) q^{10} +(2.37748 - 0.258567i) q^{11} +(-1.62050 - 0.867180i) q^{12} +(-2.83962 + 6.13774i) q^{13} +(0.403753 + 1.45419i) q^{14} +(0.380246 - 0.556176i) q^{15} +(0.747324 + 0.0812764i) q^{16} +(5.86001 - 3.10678i) q^{17} +(-2.88730 - 0.336635i) q^{18} +(4.92825 - 2.96523i) q^{19} +(0.0887313 - 0.403110i) q^{20} +(-1.62430 - 2.15397i) q^{21} +(1.50015 - 1.76612i) q^{22} +(-2.59272 - 6.50724i) q^{23} +(-4.95544 + 1.35524i) q^{24} +(-4.59488 - 1.54820i) q^{25} +(2.09232 + 6.20979i) q^{26} +(5.02255 - 1.33192i) q^{27} +(-1.41619 - 0.852094i) q^{28} +(-1.89426 + 1.99975i) q^{29} +(-0.103121 - 0.644620i) q^{30} +(4.19065 - 6.96492i) q^{31} +(-4.14270 + 3.14920i) q^{32} +(-1.33779 + 3.92022i) q^{33} +(2.05206 - 6.09028i) q^{34} +(0.366650 - 0.482320i) q^{35} +(2.54911 - 1.90685i) q^{36} +(3.34683 + 2.84282i) q^{37} +(1.49093 - 5.36983i) q^{38} +(-7.54856 - 8.95684i) q^{39} +(-0.594821 - 0.988601i) q^{40} +(4.48996 + 1.78897i) q^{41} +(-2.57791 - 0.432874i) q^{42} +(-0.462789 + 4.25528i) q^{43} +(0.137388 + 2.53398i) q^{44} +(0.593868 + 1.00453i) q^{45} +(-6.15995 - 2.84989i) q^{46} +(0.416590 + 2.54109i) q^{47} +(-0.675581 + 1.11305i) q^{48} +(2.56688 + 3.78587i) q^{49} +(-4.26392 + 1.97270i) q^{50} +(0.577570 + 11.4735i) q^{51} +(-6.34027 - 3.36140i) q^{52} +(-5.01330 - 3.39910i) q^{53} +(2.64561 - 4.28371i) q^{54} +(-0.928883 - 0.0503626i) q^{55} +(-4.51184 + 0.993131i) q^{56} +(1.03876 + 9.90766i) 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} +(4.57106 - 0.969148i) q^{63} +(-1.05897 + 6.45945i) q^{64} +(1.47626 - 2.17731i) q^{65} +(1.67116 + 3.64913i) q^{66} +(2.81723 - 2.39298i) q^{67} +(2.95522 + 6.38761i) q^{68} +(12.1121 + 0.703705i) q^{69} +(-0.0634711 - 0.583607i) q^{70} +(2.93880 - 0.481792i) q^{71} +(1.50747 - 8.76965i) q^{72} +(1.02872 - 0.285621i) q^{73} +(4.24864 - 0.230355i) q^{74} +(5.79897 - 6.07466i) q^{75} +(2.85877 + 5.39221i) q^{76} +(-1.37872 + 3.46034i) q^{77} +(-11.2784 - 1.27077i) q^{78} +(-9.43087 - 2.07589i) q^{79} +(-0.281751 - 0.0782277i) q^{80} +(-1.59329 + 8.85785i) q^{81} +(4.35056 - 1.73342i) q^{82} +(9.05934 + 6.88673i) q^{83} +(2.37561 - 1.59732i) q^{84} +(-2.44491 + 0.823787i) q^{85} +(2.50994 + 3.30177i) q^{86} +(-1.74874 - 4.43887i) q^{87} +(5.14978 + 4.87813i) q^{88} +(-2.33866 - 2.21530i) q^{89} +(1.08712 + 0.310917i) q^{90} +(-6.37455 - 8.38558i) q^{91} +(7.04387 - 2.37336i) q^{92} +(7.85575 + 11.6834i) q^{93} +(1.98630 + 1.50995i) q^{94} +(-2.07834 + 0.828088i) q^{95} +(-1.90351 - 8.80993i) q^{96} +(4.04337 + 1.12263i) q^{97} +(4.32839 + 0.952750i) q^{98} +(-5.17032 - 4.97405i) 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 −0.397378 0.917655i \(-0.630080\pi\)
0.894796 + 0.446476i \(0.147321\pi\)
\(3\) −0.733345 + 1.56914i −0.423397 + 0.905944i
\(4\) −0.0574486 + 1.05958i −0.0287243 + 0.529788i
\(5\) −0.383857 0.0629301i −0.171666 0.0281432i 0.0753359 0.997158i \(-0.475997\pi\)
−0.247002 + 0.969015i \(0.579445\pi\)
\(6\) 0.529719 + 1.59248i 0.216257 + 0.650128i
\(7\) −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
\(9\) −1.92441 2.30144i −0.641470 0.767148i
\(10\) −0.311959 + 0.211513i −0.0986501 + 0.0668864i
\(11\) 2.37748 0.258567i 0.716837 0.0779607i 0.257571 0.966259i \(-0.417078\pi\)
0.459266 + 0.888299i \(0.348112\pi\)
\(12\) −1.62050 0.867180i −0.467797 0.250333i
\(13\) −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
\(15\) 0.380246 0.556176i 0.0981790 0.143604i
\(16\) 0.747324 + 0.0812764i 0.186831 + 0.0203191i
\(17\) 5.86001 3.10678i 1.42126 0.753505i 0.432307 0.901726i \(-0.357700\pi\)
0.988954 + 0.148221i \(0.0473548\pi\)
\(18\) −2.88730 0.336635i −0.680542 0.0793456i
\(19\) 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
\(21\) −1.62430 2.15397i −0.354451 0.470035i
\(22\) 1.50015 1.76612i 0.319834 0.376538i
\(23\) −2.59272 6.50724i −0.540620 1.35685i −0.904924 0.425574i \(-0.860072\pi\)
0.364304 0.931280i \(-0.381307\pi\)
\(24\) −4.95544 + 1.35524i −1.01152 + 0.276638i
\(25\) −4.59488 1.54820i −0.918976 0.309639i
\(26\) 2.09232 + 6.20979i 0.410338 + 1.21784i
\(27\) 5.02255 1.33192i 0.966590 0.256328i
\(28\) −1.41619 0.852094i −0.267635 0.161031i
\(29\) −1.89426 + 1.99975i −0.351756 + 0.371344i −0.877729 0.479157i \(-0.840943\pi\)
0.525973 + 0.850501i \(0.323701\pi\)
\(30\) −0.103121 0.644620i −0.0188272 0.117691i
\(31\) 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
\(33\) −1.33779 + 3.92022i −0.232879 + 0.682423i
\(34\) 2.05206 6.09028i 0.351925 1.04447i
\(35\) 0.366650 0.482320i 0.0619752 0.0815270i
\(36\) 2.54911 1.90685i 0.424852 0.317808i
\(37\) 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
\(39\) −7.54856 8.95684i −1.20874 1.43424i
\(40\) −0.594821 0.988601i −0.0940495 0.156311i
\(41\) 4.48996 + 1.78897i 0.701215 + 0.279389i 0.693372 0.720580i \(-0.256124\pi\)
0.00784256 + 0.999969i \(0.497504\pi\)
\(42\) −2.57791 0.432874i −0.397781 0.0667940i
\(43\) −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
\(45\) 0.593868 + 1.00453i 0.0885286 + 0.149746i
\(46\) −6.15995 2.84989i −0.908235 0.420194i
\(47\) 0.416590 + 2.54109i 0.0607659 + 0.370656i 0.999651 + 0.0264244i \(0.00841214\pi\)
−0.938885 + 0.344231i \(0.888140\pi\)
\(48\) −0.675581 + 1.11305i −0.0975117 + 0.160656i
\(49\) 2.56688 + 3.78587i 0.366697 + 0.540838i
\(50\) −4.26392 + 1.97270i −0.603010 + 0.278982i
\(51\) 0.577570 + 11.4735i 0.0808760 + 1.60662i
\(52\) −6.34027 3.36140i −0.879237 0.466142i
\(53\) −5.01330 3.39910i −0.688630 0.466903i 0.166010 0.986124i \(-0.446912\pi\)
−0.854640 + 0.519221i \(0.826222\pi\)
\(54\) 2.64561 4.28371i 0.360022 0.582939i
\(55\) −0.928883 0.0503626i −0.125251 0.00679089i
\(56\) −4.51184 + 0.993131i −0.602920 + 0.132713i
\(57\) 1.03876 + 9.90766i 0.137587 + 1.31230i
\(58\) 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
\(63\) 4.57106 0.969148i 0.575899 0.122101i
\(64\) −1.05897 + 6.45945i −0.132372 + 0.807431i
\(65\) 1.47626 2.17731i 0.183107 0.270063i
\(66\) 1.67116 + 3.64913i 0.205705 + 0.449176i
\(67\) 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
\(69\) 12.1121 + 0.703705i 1.45813 + 0.0847161i
\(70\) −0.0634711 0.583607i −0.00758624 0.0697544i
\(71\) 2.93880 0.481792i 0.348771 0.0571781i 0.0151497 0.999885i \(-0.495178\pi\)
0.333622 + 0.942707i \(0.391729\pi\)
\(72\) 1.50747 8.76965i 0.177658 1.03351i
\(73\) 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
\(75\) 5.79897 6.07466i 0.669607 0.701441i
\(76\) 2.85877 + 5.39221i 0.327923 + 0.618529i
\(77\) −1.37872 + 3.46034i −0.157120 + 0.394342i
\(78\) −11.2784 1.27077i −1.27703 0.143886i
\(79\) −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
\(81\) −1.59329 + 8.85785i −0.177032 + 0.984205i
\(82\) 4.35056 1.73342i 0.480439 0.191424i
\(83\) 9.05934 + 6.88673i 0.994392 + 0.755917i 0.969830 0.243781i \(-0.0783878\pi\)
0.0245619 + 0.999698i \(0.492181\pi\)
\(84\) 2.37561 1.59732i 0.259200 0.174282i
\(85\) −2.44491 + 0.823787i −0.265188 + 0.0893523i
\(86\) 2.50994 + 3.30177i 0.270654 + 0.356039i
\(87\) −1.74874 4.43887i −0.187485 0.475897i
\(88\) 5.14978 + 4.87813i 0.548968 + 0.520010i
\(89\) −2.33866 2.21530i −0.247898 0.234821i 0.553654 0.832747i \(-0.313233\pi\)
−0.801551 + 0.597926i \(0.795992\pi\)
\(90\) 1.08712 + 0.310917i 0.114593 + 0.0327736i
\(91\) −6.37455 8.38558i −0.668234 0.879047i
\(92\) 7.04387 2.37336i 0.734374 0.247439i
\(93\) 7.85575 + 11.6834i 0.814603 + 1.21151i
\(94\) 1.98630 + 1.50995i 0.204871 + 0.155739i
\(95\) −2.07834 + 0.828088i −0.213234 + 0.0849600i
\(96\) −1.90351 8.80993i −0.194276 0.899160i
\(97\) 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
\(99\) −5.17032 4.97405i −0.519637 0.499911i
\(100\) 1.90440 4.77969i 0.190440 0.477969i
\(101\) −5.80859 10.9562i −0.577976 1.09018i −0.984309 0.176453i \(-0.943538\pi\)
0.406333 0.913725i \(-0.366807\pi\)
\(102\) 8.05165 + 7.68624i 0.797232 + 0.761051i
\(103\) 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
\(105\) 0.487948 + 0.929033i 0.0476188 + 0.0906644i
\(106\) −5.79161 + 0.949487i −0.562531 + 0.0922223i
\(107\) −0.483969 4.45002i −0.0467870 0.430200i −0.993982 0.109542i \(-0.965062\pi\)
0.947195 0.320658i \(-0.103904\pi\)
\(108\) 1.12273 + 5.39829i 0.108035 + 0.519451i
\(109\) 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
\(111\) −6.91516 + 3.16688i −0.656358 + 0.300587i
\(112\) −0.657073 + 0.969110i −0.0620876 + 0.0915723i
\(113\) −1.19179 + 7.26960i −0.112114 + 0.683866i 0.869636 + 0.493693i \(0.164353\pi\)
−0.981751 + 0.190173i \(0.939095\pi\)
\(114\) 7.33266 + 6.27741i 0.686767 + 0.587934i
\(115\) 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
\(120\) 1.98746 0.208374i 0.181430 0.0190218i
\(121\) −5.15727 + 1.13520i −0.468843 + 0.103200i
\(122\) −2.98039 0.161592i −0.269832 0.0146299i
\(123\) −6.09983 + 5.73346i −0.550003 + 0.516969i
\(124\) 7.13912 + 4.84044i 0.641112 + 0.434684i
\(125\) 3.38469 + 1.79445i 0.302736 + 0.160501i
\(126\) 2.56974 3.72766i 0.228931 0.332087i
\(127\) −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
\(129\) −6.33775 3.84677i −0.558008 0.338689i
\(130\) −0.412369 2.51534i −0.0361672 0.220610i
\(131\) −12.5266 5.79540i −1.09445 0.506346i −0.212247 0.977216i \(-0.568078\pi\)
−0.882203 + 0.470870i \(0.843940\pi\)
\(132\) −4.07692 1.64270i −0.354850 0.142978i
\(133\) 0.484995 + 8.94521i 0.0420544 + 0.775648i
\(134\) 0.387239 3.56060i 0.0334523 0.307589i
\(135\) −2.01176 + 0.195197i −0.173144 + 0.0167999i
\(136\) 18.2757 + 7.28172i 1.56713 + 0.624402i
\(137\) −8.08616 13.4393i −0.690847 1.14820i −0.981517 0.191373i \(-0.938706\pi\)
0.290670 0.956823i \(-0.406122\pi\)
\(138\) 8.98925 7.57587i 0.765216 0.644901i
\(139\) 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
\(141\) −4.29283 1.20980i −0.361521 0.101884i
\(142\) 1.74627 2.29718i 0.146544 0.192775i
\(143\) −5.16413 + 15.3266i −0.431846 + 1.28167i
\(144\) −1.25111 1.87633i −0.104259 0.156361i
\(145\) 0.852970 0.648411i 0.0708353 0.0538476i
\(146\) 0.533331 0.886404i 0.0441388 0.0733593i
\(147\) −7.82297 + 1.25145i −0.645228 + 0.103218i
\(148\) −3.20445 + 3.38290i −0.263405 + 0.278073i
\(149\) −12.4879 7.51374i −1.02305 0.615549i −0.0979186 0.995194i \(-0.531218\pi\)
−0.925132 + 0.379645i \(0.876046\pi\)
\(150\) 0.0314794 8.13737i 0.00257028 0.664414i
\(151\) −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
\(153\) −18.4271 7.50776i −1.48975 0.606967i
\(154\) 1.33592 + 3.35290i 0.107651 + 0.270184i
\(155\) −2.04691 + 2.40981i −0.164412 + 0.193561i
\(156\) 9.92412 7.48372i 0.794565 0.599177i
\(157\) 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
\(159\) 9.01016 5.37387i 0.714552 0.426175i
\(160\) 1.78838 0.948140i 0.141384 0.0749571i
\(161\) 10.8463 + 1.17961i 0.854809 + 0.0929661i
\(162\) 4.78160 + 7.29278i 0.375678 + 0.572975i
\(163\) 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
\(165\) 0.760218 1.42062i 0.0591829 0.110595i
\(166\) 10.9618 1.19217i 0.850800 0.0925301i
\(167\) −6.96566 + 4.72284i −0.539019 + 0.365464i −0.800113 0.599849i \(-0.795227\pi\)
0.261094 + 0.965313i \(0.415917\pi\)
\(168\) 1.75037 7.80802i 0.135044 0.602402i
\(169\) −21.1924 24.9496i −1.63018 1.91920i
\(170\) −1.17096 + 2.20866i −0.0898083 + 0.169396i
\(171\) −16.3083 5.63577i −1.24713 0.430978i
\(172\) −4.48221 0.734820i −0.341765 0.0560295i
\(173\) −0.829850 + 15.3057i −0.0630923 + 1.16367i 0.779957 + 0.625833i \(0.215241\pi\)
−0.843050 + 0.537836i \(0.819242\pi\)
\(174\) −4.18799 1.95728i −0.317491 0.148381i
\(175\) 5.48280 5.19358i 0.414460 0.392598i
\(176\) 1.79776 0.135512
\(177\) 13.2580 + 1.10667i 0.996534 + 0.0831822i
\(178\) −3.12130 −0.233951
\(179\) 18.4604 17.4867i 1.37980 1.30701i 0.475753 0.879579i \(-0.342176\pi\)
0.904046 0.427436i \(-0.140583\pi\)
\(180\) −1.09849 + 0.571540i −0.0818767 + 0.0426000i
\(181\) −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
\(183\) 5.06269 1.68404i 0.374245 0.124488i
\(184\) 9.73198 18.3565i 0.717451 1.35326i
\(185\) −1.10580 1.30185i −0.0813002 0.0957140i
\(186\) 13.3114 + 2.98409i 0.976037 + 0.218804i
\(187\) 13.1287 8.90151i 0.960069 0.650943i
\(188\) −2.71641 + 0.295427i −0.198115 + 0.0215463i
\(189\) −1.83143 + 7.88335i −0.133217 + 0.573430i
\(190\) −0.910226 + 1.96742i −0.0660347 + 0.142732i
\(191\) −4.83585 17.4171i −0.349910 1.26026i −0.903902 0.427739i \(-0.859310\pi\)
0.553993 0.832521i \(-0.313103\pi\)
\(192\) −9.35920 6.39868i −0.675442 0.461785i
\(193\) −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
\(195\) 2.33391 + 3.91318i 0.167135 + 0.280228i
\(196\) −4.15888 + 2.50232i −0.297063 + 0.178737i
\(197\) 1.77237 8.05196i 0.126276 0.573678i −0.870409 0.492328i \(-0.836146\pi\)
0.996686 0.0813497i \(-0.0259231\pi\)
\(198\) −6.95153 0.0537848i −0.494024 0.00382232i
\(199\) 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
\(201\) 1.68892 + 6.17551i 0.119127 + 0.435587i
\(202\) −11.3867 3.83662i −0.801164 0.269944i
\(203\) −1.36989 4.06569i −0.0961475 0.285356i
\(204\) −12.1903 0.0471580i −0.853489 0.00330172i
\(205\) −1.61092 0.969260i −0.112512 0.0676961i
\(206\) 1.26721 1.33778i 0.0882910 0.0932077i
\(207\) −9.98659 + 18.4896i −0.694116 + 1.28512i
\(208\) −2.62097 + 4.35609i −0.181732 + 0.302040i
\(209\) 10.9501 8.32406i 0.757435 0.575787i
\(210\) 0.962308 + 0.328390i 0.0664056 + 0.0226611i
\(211\) −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
\(213\) −1.39915 + 4.96471i −0.0958684 + 0.340176i
\(214\) −3.30571 2.80789i −0.225974 0.191944i
\(215\) 0.445430 1.60429i 0.0303781 0.109412i
\(216\) 12.6553 + 8.79662i 0.861085 + 0.598534i
\(217\) 6.52717 + 10.8482i 0.443093 + 0.736427i
\(218\) 13.3966 + 5.33771i 0.907335 + 0.361515i
\(219\) −0.306223 + 1.82366i −0.0206926 + 0.123231i
\(220\) 0.106726 0.981330i 0.00719547 0.0661612i
\(221\) 2.42840 + 44.7893i 0.163352 + 3.01285i
\(222\) −2.75426 + 6.83565i −0.184854 + 0.458779i
\(223\) −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
\(225\) 5.27935 + 13.5542i 0.351957 + 0.903615i
\(226\) 4.00571 + 5.90798i 0.266456 + 0.392993i
\(227\) −5.62312 + 2.60153i −0.373220 + 0.172670i −0.597527 0.801849i \(-0.703850\pi\)
0.224308 + 0.974518i \(0.427988\pi\)
\(228\) −10.5576 + 0.531463i −0.699194 + 0.0351970i
\(229\) 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
\(231\) −4.41868 4.70104i −0.290728 0.309305i
\(232\) −8.15809 0.442319i −0.535605 0.0290397i
\(233\) 8.57741 1.88803i 0.561925 0.123689i 0.0750800 0.997178i \(-0.476079\pi\)
0.486845 + 0.873489i \(0.338148\pi\)
\(234\) 10.2650 16.7656i 0.671044 1.09600i
\(235\) 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 0.923324 0.384023i \(-0.125462\pi\)
−0.999233 + 0.0391640i \(0.987531\pi\)
\(240\) 0.329371 0.384739i 0.0212608 0.0248348i
\(241\) −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
\(243\) −12.7308 8.99595i −0.816680 0.577091i
\(244\) 2.49130 2.11613i 0.159489 0.135471i
\(245\) −0.747070 1.61476i −0.0477285 0.103164i
\(246\) −0.470477 + 8.09784i −0.0299965 + 0.516299i
\(247\) 4.20545 + 38.6684i 0.267586 + 2.46041i
\(248\) 23.7921 3.90051i 1.51080 0.247683i
\(249\) −17.4499 + 9.16504i −1.10584 + 0.580811i
\(250\) 3.57671 0.993067i 0.226211 0.0628071i
\(251\) 9.54659 0.517601i 0.602575 0.0326707i 0.249672 0.968330i \(-0.419677\pi\)
0.352903 + 0.935660i \(0.385194\pi\)
\(252\) 0.764286 + 4.89906i 0.0481455 + 0.308612i
\(253\) −7.84670 14.8004i −0.493318 0.930496i
\(254\) −2.28395 + 5.73228i −0.143308 + 0.359675i
\(255\) 0.500326 4.44054i 0.0313316 0.278077i
\(256\) −16.6321 3.66101i −1.03951 0.228813i
\(257\) −22.9149 6.36230i −1.42939 0.396869i −0.535267 0.844683i \(-0.679789\pi\)
−0.894127 + 0.447814i \(0.852203\pi\)
\(258\) −7.02160 + 1.51712i −0.437146 + 0.0944515i
\(259\) −6.35381 + 2.53159i −0.394806 + 0.157305i
\(260\) 2.22222 + 1.68929i 0.137816 + 0.104765i
\(261\) 8.24765 + 0.511202i 0.510517 + 0.0316426i
\(262\) −12.6736 + 4.27024i −0.782978 + 0.263816i
\(263\) 16.6827 + 21.9457i 1.02870 + 1.35323i 0.933821 + 0.357740i \(0.116453\pi\)
0.0948767 + 0.995489i \(0.469754\pi\)
\(264\) −11.4310 + 4.50338i −0.703532 + 0.277164i
\(265\) 1.71048 + 1.62026i 0.105074 + 0.0995315i
\(266\) 6.30179 + 5.96937i 0.386387 + 0.366006i
\(267\) 5.19116 2.04511i 0.317694 0.125159i
\(268\) 2.37370 + 3.12254i 0.144997 + 0.190740i
\(269\) −4.90531 + 1.65279i −0.299082 + 0.100772i −0.464842 0.885394i \(-0.653889\pi\)
0.165760 + 0.986166i \(0.446992\pi\)
\(270\) −1.28511 + 1.47784i −0.0782093 + 0.0899385i
\(271\) −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
\(273\) 17.8329 3.85305i 1.07930 0.233197i
\(274\) −14.6435 4.06574i −0.884645 0.245621i
\(275\) −11.3245 2.49272i −0.682896 0.150317i
\(276\) −1.44145 + 12.7933i −0.0867654 + 0.770067i
\(277\) −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
\(279\) −24.0939 + 3.75881i −1.44246 + 0.225034i
\(280\) 1.79440 0.0972894i 0.107236 0.00581415i
\(281\) 7.87579 2.18670i 0.469830 0.130448i −0.0245406 0.999699i \(-0.507812\pi\)
0.494371 + 0.869251i \(0.335399\pi\)
\(282\) −3.82596 + 2.00947i −0.227833 + 0.119662i
\(283\) 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
\(285\) 0.224756 3.86849i 0.0133134 0.229150i
\(286\) 6.58010 + 14.2227i 0.389089 + 0.841003i
\(287\) −5.73758 + 4.87354i −0.338679 + 0.287676i
\(288\) 15.2200 + 3.47384i 0.896845 + 0.204698i
\(289\) 15.1475 22.3408i 0.891027 1.31417i
\(290\) 0.167959 1.02450i 0.00986287 0.0601608i
\(291\) −4.72675 + 5.52133i −0.277087 + 0.323666i
\(292\) 0.243540 + 1.10641i 0.0142521 + 0.0647478i
\(293\) 9.42419 + 9.94900i 0.550567 + 0.581227i 0.940576 0.339585i \(-0.110286\pi\)
−0.390008 + 0.920811i \(0.627528\pi\)
\(294\) −4.66920 + 6.09316i −0.272313 + 0.355360i
\(295\) 0.568433 + 2.93325i 0.0330955 + 0.170780i
\(296\) 13.0248i 0.757049i
\(297\) 11.5966 4.46528i 0.672904 0.259102i
\(298\) −13.7914 + 3.03573i −0.798917 + 0.175855i
\(299\) 47.3021 + 2.56465i 2.73555 + 0.148317i
\(300\) 6.10342 + 6.49343i 0.352381 + 0.374899i
\(301\) −5.51813 3.74138i −0.318060 0.215650i
\(302\) −0.566569 0.300376i −0.0326024 0.0172847i
\(303\) 21.4515 1.07985i 1.23235 0.0620359i
\(304\) 3.92401 1.81544i 0.225057 0.104123i
\(305\) 0.672427 + 0.991755i 0.0385030 + 0.0567877i
\(306\) −17.9654 + 6.99751i −1.02702 + 0.400021i
\(307\) 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
\(309\) −1.23103 + 3.05521i −0.0700306 + 0.173805i
\(310\) 0.165862 + 3.05915i 0.00942034 + 0.173748i
\(311\) 0.678428 6.23804i 0.0384701 0.353727i −0.959044 0.283258i \(-0.908585\pi\)
0.997514 0.0704693i \(-0.0224497\pi\)
\(312\) 5.75342 34.2636i 0.325723 1.93979i
\(313\) −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
\(315\) −1.81562 + 0.0843569i −0.102299 + 0.00475298i
\(316\) 2.74136 9.87347i 0.154213 0.555426i
\(317\) 9.30985 + 7.90786i 0.522893 + 0.444149i 0.869552 0.493842i \(-0.164408\pi\)
−0.346659 + 0.937991i \(0.612684\pi\)
\(318\) 2.75737 9.78416i 0.154626 0.548669i
\(319\) −3.98651 + 5.24416i −0.223201 + 0.293617i
\(320\) 0.812988 2.41286i 0.0454474 0.134883i
\(321\) 7.33763 + 2.50398i 0.409546 + 0.139759i
\(322\) 8.41592 6.39761i 0.469001 0.356525i
\(323\) 19.6673 32.6873i 1.09432 1.81877i
\(324\) −9.29403 2.19708i −0.516335 0.122060i
\(325\) 22.5501 23.8059i 1.25086 1.32051i
\(326\) 0.699533 + 0.420895i 0.0387435 + 0.0233112i
\(327\) −25.7778 0.0997215i −1.42552 0.00551461i
\(328\) 4.57745 + 13.5854i 0.252747 + 0.750127i
\(329\) −3.80077 1.28063i −0.209543 0.0706033i
\(330\) −0.411845 1.50591i −0.0226713 0.0828975i
\(331\) −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
\(333\) 0.101923 13.1733i 0.00558536 0.721891i
\(334\) −1.75298 + 7.96385i −0.0959186 + 0.435763i
\(335\) −1.23200 + 0.741271i −0.0673115 + 0.0405000i
\(336\) −1.03881 1.74173i −0.0566717 0.0950193i
\(337\) −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
\(339\) −10.5330 7.20121i −0.572076 0.391116i
\(340\) −0.732409 2.63790i −0.0397205 0.143060i
\(341\) 8.16230 17.6425i 0.442013 0.955396i
\(342\) −15.2275 + 6.90248i −0.823410 + 0.373243i
\(343\) −17.9215 + 1.94908i −0.967670 + 0.105240i
\(344\) −10.5083 + 7.12481i −0.566570 + 0.384144i
\(345\) −4.60504 1.03234i −0.247927 0.0555793i
\(346\) 9.61514 + 11.3198i 0.516913 + 0.608557i
\(347\) −8.63489 + 16.2871i −0.463545 + 0.874339i 0.536001 + 0.844217i \(0.319934\pi\)
−0.999546 + 0.0301215i \(0.990411\pi\)
\(348\) 4.80379 1.59792i 0.257510 0.0856575i
\(349\) 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
\(351\) −6.08715 + 34.6092i −0.324908 + 1.84730i
\(352\) −9.03491 + 8.55832i −0.481562 + 0.456160i
\(353\) 6.46249 0.343964 0.171982 0.985100i \(-0.444983\pi\)
0.171982 + 0.985100i \(0.444983\pi\)
\(354\) 10.0638 8.05596i 0.534887 0.428170i
\(355\) −1.15840 −0.0614813
\(356\) 2.48163 2.35073i 0.131526 0.124588i
\(357\) −16.2103 7.57596i −0.857941 0.400962i
\(358\) 1.33389 24.6021i 0.0704982 1.30026i
\(359\) −14.6048 2.39434i −0.770814 0.126368i −0.236473 0.971638i \(-0.575992\pi\)
−0.534340 + 0.845269i \(0.679440\pi\)
\(360\) −1.13053 + 3.27142i −0.0595841 + 0.172419i
\(361\) 6.59530 12.4401i 0.347121 0.654740i
\(362\) 3.14500 + 3.70258i 0.165298 + 0.194603i
\(363\) 2.00077 8.92498i 0.105013 0.468440i
\(364\) 9.25137 6.27258i 0.484904 0.328773i
\(365\) −0.412853 + 0.0449005i −0.0216097 + 0.00235020i
\(366\) 2.43922 4.55816i 0.127500 0.238259i
\(367\) 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
\(369\) −4.52333 13.7761i −0.235475 0.717155i
\(370\) −1.64537 0.178944i −0.0855385 0.00930288i
\(371\) 8.33514 4.41901i 0.432739 0.229424i
\(372\) −12.8308 + 7.65257i −0.665245 + 0.396767i
\(373\) −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
\(375\) −5.29790 + 3.99511i −0.273582 + 0.206307i
\(376\) −4.94455 + 5.82117i −0.254996 + 0.300204i
\(377\) −6.89495 17.3050i −0.355108 0.891254i
\(378\) 3.96473 + 6.76595i 0.203923 + 0.348003i
\(379\) 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
\(381\) 0.0426698 11.0301i 0.00218604 0.565087i
\(382\) −15.0077 9.02981i −0.767859 0.462005i
\(383\) −8.04383 + 8.49177i −0.411021 + 0.433909i −0.898331 0.439320i \(-0.855219\pi\)
0.487310 + 0.873229i \(0.337978\pi\)
\(384\) 6.95261 1.11222i 0.354799 0.0567578i
\(385\) 0.746992 1.24151i 0.0380702 0.0632732i
\(386\) −8.51845 + 6.47556i −0.433578 + 0.329597i
\(387\) 10.6839 7.12382i 0.543092 0.362124i
\(388\) −1.42180 + 4.21976i −0.0721811 + 0.214226i
\(389\) −22.2292 + 29.2420i −1.12706 + 1.48263i −0.273328 + 0.961921i \(0.588124\pi\)
−0.853736 + 0.520706i \(0.825669\pi\)
\(390\) 4.24933 + 1.19755i 0.215173 + 0.0606401i
\(391\) −35.4100 30.0775i −1.79076 1.52108i
\(392\) −3.62955 + 13.0724i −0.183320 + 0.660258i
\(393\) 18.2801 15.4059i 0.922108 0.777125i
\(394\) −4.11862 6.84520i −0.207493 0.344856i
\(395\) 3.48947 + 1.39033i 0.175574 + 0.0699551i
\(396\) 5.56741 5.19260i 0.279773 0.260938i
\(397\) −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
\(399\) −14.3920 5.79890i −0.720499 0.290308i
\(400\) −3.30803 1.53046i −0.165402 0.0765230i
\(401\) −1.28974 7.86709i −0.0644067 0.392864i −0.999282 0.0378873i \(-0.987937\pi\)
0.934875 0.354976i \(-0.115511\pi\)
\(402\) 5.30311 + 3.21878i 0.264495 + 0.160538i
\(403\) 30.8490 + 45.4988i 1.53670 + 2.26646i
\(404\) 11.9426 5.52523i 0.594166 0.274890i
\(405\) 1.16902 3.29988i 0.0580890 0.163972i
\(406\) −3.67282 1.94721i −0.182279 0.0966382i
\(407\) 8.69207 + 5.89337i 0.430850 + 0.292123i
\(408\) −24.8285 + 23.3372i −1.22919 + 1.15536i
\(409\) 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
\(411\) 27.0181 2.83268i 1.33270 0.139726i
\(412\) 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
\(417\) 7.63144 + 6.53320i 0.373713 + 0.319932i
\(418\) 2.15619 13.1522i 0.105463 0.643294i
\(419\) −7.31750 + 10.7925i −0.357483 + 0.527248i −0.963325 0.268337i \(-0.913526\pi\)
0.605842 + 0.795585i \(0.292836\pi\)
\(420\) −1.01241 + 0.463646i −0.0494007 + 0.0226236i
\(421\) −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
\(423\) 5.04648 5.84885i 0.245368 0.284381i
\(424\) −1.94242 17.8603i −0.0943323 0.867371i
\(425\) −31.7360 + 5.20285i −1.53942 + 0.252375i
\(426\) 2.32398 + 4.42477i 0.112597 + 0.214381i
\(427\) 4.62303 1.28358i 0.223724 0.0621167i
\(428\) 4.74294 0.257155i 0.229259 0.0124300i
\(429\) −20.2625 19.3429i −0.978282 0.933885i
\(430\) −0.755677 1.42536i −0.0364420 0.0687369i
\(431\) 0.0511931 0.128485i 0.00246589 0.00618891i −0.927739 0.373231i \(-0.878250\pi\)
0.930205 + 0.367042i \(0.119629\pi\)
\(432\) 3.86173 0.587162i 0.185797 0.0282498i
\(433\) 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
\(435\) 0.391927 + 1.81394i 0.0187915 + 0.0869718i
\(436\) −14.6711 + 5.84551i −0.702620 + 0.279949i
\(437\) −32.0731 24.3813i −1.53426 1.16632i
\(438\) 0.999777 + 1.48691i 0.0477712 + 0.0710474i
\(439\) 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
\(441\) 3.77323 13.1931i 0.179678 0.628243i
\(442\) 31.5535 + 29.8891i 1.50085 + 1.42168i
\(443\) −9.43910 8.94119i −0.448465 0.424809i 0.429843 0.902904i \(-0.358569\pi\)
−0.878308 + 0.478095i \(0.841328\pi\)
\(444\) −2.95828 7.50908i −0.140394 0.356365i
\(445\) 0.758302 + 0.997529i 0.0359470 + 0.0472874i
\(446\) −1.80775 + 0.609102i −0.0855994 + 0.0288418i
\(447\) 20.9481 14.0852i 0.990810 0.666205i
\(448\) −8.11637 6.16991i −0.383463 0.291501i
\(449\) −34.7121 + 13.8306i −1.63817 + 0.652705i −0.993715 0.111941i \(-0.964293\pi\)
−0.644451 + 0.764646i \(0.722914\pi\)
\(450\) 12.7456 + 6.01690i 0.600834 + 0.283639i
\(451\) 11.1374 + 3.09227i 0.524438 + 0.145610i
\(452\) −7.63423 1.68042i −0.359084 0.0790404i
\(453\) 1.13909 + 0.128345i 0.0535193 + 0.00603015i
\(454\) −2.22209 + 5.57701i −0.104288 + 0.261742i
\(455\) 1.91921 + 3.62001i 0.0899738 + 0.169709i
\(456\) −20.4030 + 21.3730i −0.955459 + 1.00088i
\(457\) 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
\(459\) 25.2942 23.4090i 1.18063 1.09264i
\(460\) −2.85319 + 0.467757i −0.133031 + 0.0218093i
\(461\) −0.940833 8.65081i −0.0438189 0.402909i −0.995422 0.0955784i \(-0.969530\pi\)
0.951603 0.307330i \(-0.0994356\pi\)
\(462\) −6.24086 0.362589i −0.290351 0.0168691i
\(463\) −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
\(465\) −2.28024 4.97912i −0.105744 0.230901i
\(466\) 4.77573 7.04368i 0.221232 0.326292i
\(467\) −3.09122 + 18.8556i −0.143044 + 0.872533i 0.813632 + 0.581380i \(0.197487\pi\)
−0.956677 + 0.291153i \(0.905961\pi\)
\(468\) 4.46521 + 21.0605i 0.206405 + 0.973522i
\(469\) 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
\(474\) −1.68989 16.1181i −0.0776191 0.740330i
\(475\) −27.2355 + 5.99498i −1.24965 + 0.275069i
\(476\) −10.9462 0.593484i −0.501716 0.0272023i
\(477\) 1.82481 + 18.0791i 0.0835521 + 0.827785i
\(478\) −4.37808 2.96841i −0.200249 0.135772i
\(479\) 28.5070 + 15.1134i 1.30252 + 0.690551i 0.967789 0.251764i \(-0.0810107\pi\)
0.334728 + 0.942315i \(0.391356\pi\)
\(480\) 0.176265 + 3.50154i 0.00804537 + 0.159823i
\(481\) −26.9522 + 12.4694i −1.22891 + 0.568556i
\(482\) 10.4354 + 15.3911i 0.475320 + 0.701044i
\(483\) −9.80506 + 16.1543i −0.446146 + 0.735048i
\(484\) −0.906555 5.52974i −0.0412070 0.251352i
\(485\) −1.48143 0.685380i −0.0672680 0.0311215i
\(486\) −14.9500 + 2.15488i −0.678144 + 0.0977475i
\(487\) 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
\(489\) −1.43920 0.241665i −0.0650827 0.0109285i
\(490\) −1.60152 0.638105i −0.0723495 0.0288267i
\(491\) 7.79558 + 12.9564i 0.351809 + 0.584712i 0.981344 0.192261i \(-0.0615819\pi\)
−0.629534 + 0.776973i \(0.716754\pi\)
\(492\) −5.72461 6.79262i −0.258086 0.306235i
\(493\) −4.88762 + 17.6036i −0.220127 + 0.792827i
\(494\) 28.7250 + 24.3992i 1.29240 + 1.09777i
\(495\) 1.67165 + 2.23469i 0.0751349 + 0.100442i
\(496\) 3.69786 4.86445i 0.166039 0.218420i
\(497\) −1.48106 + 4.39564i −0.0664347 + 0.197171i
\(498\) −6.16810 + 18.0749i −0.276399 + 0.809955i
\(499\) −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
\(501\) −2.30257 14.3936i −0.102871 0.643058i
\(502\) 6.37069 6.72545i 0.284338 0.300172i
\(503\) 16.8882 + 10.1613i 0.753009 + 0.453070i 0.839622 0.543172i \(-0.182777\pi\)
−0.0866128 + 0.996242i \(0.527604\pi\)
\(504\) 10.9683 + 8.47255i 0.488565 + 0.377397i
\(505\) 1.54019 + 4.57113i 0.0685376 + 0.203412i
\(506\) −15.3820 5.18281i −0.683815 0.230404i
\(507\) 54.6907 14.9572i 2.42890 0.664271i
\(508\) −2.50123 6.27762i −0.110974 0.278524i
\(509\) 24.8867 29.2989i 1.10308 1.29865i 0.152458 0.988310i \(-0.451281\pi\)
0.950626 0.310340i \(-0.100443\pi\)
\(510\) −2.60698 3.45711i −0.115439 0.153083i
\(511\) −0.357473 + 1.62402i −0.0158137 + 0.0718422i
\(512\) −7.17297 + 4.31583i −0.317003 + 0.190735i
\(513\) 20.8029 21.4570i 0.918472 0.947352i
\(514\) −20.3591 + 10.7937i −0.898001 + 0.476090i
\(515\) −0.735401 0.0799797i −0.0324056 0.00352433i
\(516\) 4.44004 6.49434i 0.195462 0.285897i
\(517\) 1.64747 + 5.93367i 0.0724559 + 0.260962i
\(518\) −2.78270 + 6.01470i −0.122265 + 0.264271i
\(519\) −23.4082 12.5265i −1.02751 0.549852i
\(520\) 7.75684 0.843607i 0.340160 0.0369946i
\(521\) −36.4222 + 24.6949i −1.59569 + 1.08190i −0.648503 + 0.761212i \(0.724605\pi\)
−0.947184 + 0.320690i \(0.896085\pi\)
\(522\) 6.14249 5.13620i 0.268849 0.224805i
\(523\) −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
\(525\) 4.12868 + 12.4120i 0.180190 + 0.541703i
\(526\) 26.3590 + 4.32133i 1.14931 + 0.188419i
\(527\) 2.91879 53.8339i 0.127145 2.34504i
\(528\) −1.31838 + 2.82095i −0.0573752 + 0.122766i
\(529\) −18.9241 + 17.9259i −0.822787 + 0.779385i
\(530\) 2.28290 0.0991629
\(531\) −11.4592 + 19.9922i −0.497288 + 0.867586i
\(532\) −9.50599 −0.412137
\(533\) −23.7300 + 22.4782i −1.02786 + 0.973641i
\(534\) 2.28899 4.89776i 0.0990543 0.211947i
\(535\) −0.0942655 + 1.73863i −0.00407545 + 0.0751673i
\(536\) 10.8193 + 1.77374i 0.467323 + 0.0766138i
\(537\) 13.9012 + 41.7908i 0.599880 + 1.80341i
\(538\) −2.34933 + 4.43130i −0.101287 + 0.191047i
\(539\) 7.08161 + 8.33711i 0.305027 + 0.359105i
\(540\) −0.0912536 2.14282i −0.00392693 0.0922124i
\(541\) −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
\(543\) −7.65656 4.09727i −0.328574 0.175831i
\(544\) −14.4924 + 31.3248i −0.621356 + 1.34304i
\(545\) −1.54877 5.57817i −0.0663420 0.238942i
\(546\) 9.97716 14.5934i 0.426983 0.624538i
\(547\) 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
\(549\) −1.07020 + 9.17906i −0.0456752 + 0.391753i
\(550\) −9.62732 + 5.79257i −0.410510 + 0.246996i
\(551\) −3.40569 + 15.4722i −0.145087 + 0.659138i
\(552\) 21.6670 + 28.7325i 0.922208 + 1.22293i
\(553\) 9.73717 11.4635i 0.414067 0.487477i
\(554\) 0.294572 + 0.739321i 0.0125152 + 0.0314107i
\(555\) 2.85372 0.780454i 0.121134 0.0331284i
\(556\) 5.83244 + 1.96518i 0.247351 + 0.0833421i
\(557\) −7.14631 21.2095i −0.302799 0.898675i −0.985751 0.168212i \(-0.946201\pi\)
0.682952 0.730463i \(-0.260696\pi\)
\(558\) −14.4443 + 18.6991i −0.611475 + 0.791594i
\(559\) −24.8036 14.9238i −1.04908 0.631212i
\(560\) 0.313208 0.330650i 0.0132355 0.0139725i
\(561\) 4.33983 + 27.1287i 0.183228 + 1.14538i
\(562\) 4.08316 6.78626i 0.172237 0.286261i
\(563\) 26.3463 20.0279i 1.11036 0.844077i 0.121455 0.992597i \(-0.461244\pi\)
0.988909 + 0.148520i \(0.0474508\pi\)
\(564\) 1.52850 4.47908i 0.0643614 0.188603i
\(565\) 0.914953 2.71548i 0.0384924 0.114241i
\(566\) 17.4829 22.9984i 0.734861 0.966694i
\(567\) −11.0270 8.65499i −0.463092 0.363475i
\(568\) 6.73225 + 5.71843i 0.282479 + 0.239940i
\(569\) 7.53015 27.1212i 0.315680 1.13698i −0.620137 0.784493i \(-0.712923\pi\)
0.935818 0.352485i \(-0.114663\pi\)
\(570\) −2.41965 2.87107i −0.101348 0.120256i
\(571\) −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
\(573\) 30.8763 + 5.18465i 1.28988 + 0.216592i
\(574\) −0.788652 + 7.25154i −0.0329177 + 0.302673i
\(575\) 1.83877 + 33.9140i 0.0766818 + 1.41431i
\(576\) 16.9040 9.99347i 0.704332 0.416394i
\(577\) −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
\(579\) 9.92452 16.3512i 0.412449 0.679531i
\(580\) 0.638039 + 0.941037i 0.0264931 + 0.0390745i
\(581\) −16.0864 + 7.44236i −0.667377 + 0.308761i
\(582\) 0.354070 + 7.03367i 0.0146767 + 0.291555i
\(583\) −12.7979 6.78503i −0.530036 0.281007i
\(584\) 2.62103 + 1.77710i 0.108459 + 0.0735371i
\(585\) −7.85189 + 0.792526i −0.324636 + 0.0327669i
\(586\) 13.2590 + 0.718881i 0.547723 + 0.0296967i
\(587\) −29.5588 + 6.50638i −1.22002 + 0.268547i −0.777889 0.628402i \(-0.783709\pi\)
−0.442133 + 0.896949i \(0.645778\pi\)
\(588\) −0.876593 8.36093i −0.0361501 0.344799i
\(589\) 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 \(0.0125993\pi\)
−0.890249 + 0.455474i \(0.849470\pi\)
\(594\) 5.18227 10.8685i 0.212631 0.445940i
\(595\) 0.650111 3.96550i 0.0266520 0.162570i
\(596\) 8.67879 12.8003i 0.355497 0.524319i
\(597\) 4.20051 + 9.17219i 0.171915 + 0.375393i
\(598\) 34.9838 29.7155i 1.43059 1.21516i
\(599\) 15.8232 + 34.2013i 0.646519 + 1.39743i 0.902476 + 0.430740i \(0.141747\pi\)
−0.255957 + 0.966688i \(0.582391\pi\)
\(600\) 24.8678 + 1.44480i 1.01522 + 0.0589837i
\(601\) 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
\(603\) −10.9288 1.87863i −0.445055 0.0765036i
\(604\) 0.676679 0.187879i 0.0275337 0.00764468i
\(605\) 2.05109 0.111207i 0.0833887 0.00452120i
\(606\) 14.3706 15.0537i 0.583764 0.611517i
\(607\) 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
\(609\) 7.38425 + 0.832002i 0.299225 + 0.0337144i
\(610\) 1.13387 + 0.249585i 0.0459093 + 0.0101054i
\(611\) −16.7795 4.65880i −0.678825 0.188475i
\(612\) 9.01367 19.0937i 0.364356 0.771816i
\(613\) −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
\(615\) 2.70227 1.81696i 0.108966 0.0732670i
\(616\) −10.4700 + 3.52776i −0.421849 + 0.142137i
\(617\) −4.46183 5.86943i −0.179626 0.236294i 0.697464 0.716620i \(-0.254312\pi\)
−0.877090 + 0.480325i \(0.840519\pi\)
\(618\) 1.16986 + 2.96949i 0.0470588 + 0.119451i
\(619\) −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
\(621\) −21.6892 29.2296i −0.870358 1.17294i
\(622\) −3.67946 4.84025i −0.147533 0.194076i
\(623\) 4.75474 1.60206i 0.190494 0.0641851i
\(624\) −4.91324 7.30719i −0.196687 0.292522i
\(625\) 18.1137 + 13.7697i 0.724550 + 0.550788i
\(626\) −4.77848 + 1.90392i −0.190987 + 0.0760960i
\(627\) 5.03142 + 23.2867i 0.200935 + 0.929980i
\(628\) 8.42954 + 2.34045i 0.336375 + 0.0933941i
\(629\) 28.4444 + 6.26110i 1.13415 + 0.249646i
\(630\) −1.22099 + 1.26917i −0.0486456 + 0.0505651i
\(631\) 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
\(633\) −2.43845 2.32778i −0.0969196 0.0925211i
\(634\) 11.8184 0.640777i 0.469370 0.0254485i
\(635\) 2.38684 0.662702i 0.0947188 0.0262985i
\(636\) 5.17640 + 9.85567i 0.205258 + 0.390803i
\(637\) −30.5256 + 5.00442i −1.20947 + 0.198282i
\(638\) 0.690107 + 6.34542i 0.0273216 + 0.251218i
\(639\) −6.76427 5.83631i −0.267590 0.230881i
\(640\) 0.663953 + 1.43511i 0.0262450 + 0.0567277i
\(641\) 12.9705 11.0173i 0.512305 0.435155i −0.353576 0.935406i \(-0.615035\pi\)
0.865881 + 0.500250i \(0.166759\pi\)
\(642\) 6.83021 3.12797i 0.269567 0.123451i
\(643\) −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
\(645\) 2.19071 + 1.87544i 0.0862591 + 0.0738455i
\(646\) −7.94605 36.0993i −0.312633 1.42031i
\(647\) 17.0796 + 18.0308i 0.671470 + 0.708863i 0.969334 0.245746i \(-0.0790328\pi\)
−0.297864 + 0.954608i \(0.596274\pi\)
\(648\) −23.0838 + 13.4070i −0.906819 + 0.526678i
\(649\) −8.19200 16.4417i −0.321564 0.645391i
\(650\) 31.7726i 1.24622i
\(651\) −21.8091 + 2.28655i −0.854766 + 0.0896170i
\(652\) −0.873159 + 0.192197i −0.0341955 + 0.00752701i
\(653\) −13.7515 0.745587i −0.538140 0.0291771i −0.216934 0.976186i \(-0.569605\pi\)
−0.321206 + 0.947009i \(0.604088\pi\)
\(654\) −18.2000 + 17.1068i −0.711675 + 0.668930i
\(655\) 4.44369 + 3.01290i 0.173630 + 0.117724i
\(656\) 3.21006 + 1.70187i 0.125332 + 0.0664467i
\(657\) −2.63701 1.81788i −0.102880 0.0709222i
\(658\) −3.52701 + 1.63177i −0.137497 + 0.0636130i
\(659\) 9.42895 + 13.9067i 0.367300 + 0.541727i 0.965764 0.259423i \(-0.0835324\pi\)
−0.598464 + 0.801150i \(0.704222\pi\)
\(660\) 1.46158 + 0.887121i 0.0568918 + 0.0345311i
\(661\) −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
\(663\) −72.0616 29.0355i −2.79864 1.12764i
\(664\) 1.82737 + 33.7039i 0.0709157 + 1.30796i
\(665\) 0.376754 3.46420i 0.0146099 0.134336i
\(666\) −8.70628 9.33472i −0.337362 0.361713i
\(667\) 17.9242 + 7.14164i 0.694026 + 0.276525i
\(668\) −4.60404 7.65197i −0.178136 0.296064i
\(669\) 2.60745 2.19748i 0.100810 0.0849595i
\(670\) −0.372713 + 1.34239i −0.0143992 + 0.0518611i
\(671\) −5.61470 4.76917i −0.216753 0.184112i
\(672\) 13.5123 + 3.80802i 0.521247 + 0.146898i
\(673\) 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
\(675\) −25.1401 1.65587i −0.967642 0.0637346i
\(676\) 27.6535 21.0216i 1.06359 0.808524i
\(677\) −9.96760 + 16.5663i −0.383086 + 0.636694i −0.987068 0.160304i \(-0.948752\pi\)
0.603982 + 0.796998i \(0.293580\pi\)
\(678\) −12.2080 + 1.95294i −0.468846 + 0.0750021i
\(679\) −4.49481 + 4.74511i −0.172495 + 0.182101i
\(680\) −6.55703 3.94523i −0.251450 0.151293i
\(681\) 0.0415140 10.7313i 0.00159082 0.411224i
\(682\) −6.01424 17.8496i −0.230297 0.683498i
\(683\) −35.2363 11.8725i −1.34828 0.454288i −0.449732 0.893164i \(-0.648480\pi\)
−0.898548 + 0.438876i \(0.855377\pi\)
\(684\) 6.90842 16.9561i 0.264150 0.648333i
\(685\) 2.25819 + 5.66763i 0.0862810 + 0.216549i
\(686\) −11.3082 + 13.3130i −0.431749 + 0.508294i
\(687\) −21.0725 + 15.8907i −0.803967 + 0.606266i
\(688\) −0.691708 + 3.14246i −0.0263711 + 0.119805i
\(689\) 35.0987 21.1182i 1.33715 0.804538i
\(690\) −3.92733 + 2.34235i −0.149511 + 0.0891719i
\(691\) −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
\(693\) 10.6170 3.48605i 0.403307 0.132424i
\(694\) 4.77863 + 17.2111i 0.181394 + 0.653324i
\(695\) −0.947314 + 2.04759i −0.0359337 + 0.0776694i
\(696\) 6.67676 12.4768i 0.253082 0.472933i
\(697\) 31.8692 3.46598i 1.20713 0.131283i
\(698\) 16.7587 11.3627i 0.634327 0.430084i
\(699\) −3.32761 + 14.8437i −0.125862 + 0.561442i
\(700\) 5.18802 + 6.10781i 0.196089 + 0.230853i
\(701\) −3.94099 + 7.43350i −0.148849 + 0.280760i −0.946713 0.322078i \(-0.895619\pi\)
0.797864 + 0.602838i \(0.205963\pi\)
\(702\) 18.7797 + 28.4022i 0.708796 + 1.07197i
\(703\) 24.9236 + 4.08602i 0.940011 + 0.154107i
\(704\) −0.847490 + 15.6310i −0.0319410 + 0.589117i
\(705\) 1.57170 + 0.734540i 0.0591936 + 0.0276644i
\(706\) 4.54607 4.30626i 0.171094 0.162068i
\(707\) 19.3147 0.726406
\(708\) −1.93425 + 13.9843i −0.0726937 + 0.525563i
\(709\) 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
\(711\) 13.3713 + 25.6995i 0.501463 + 0.963806i
\(712\) 0.517282 9.54070i 0.0193860 0.357553i
\(713\) −56.1876 9.21149i −2.10424 0.344973i
\(714\) −16.4514 + 5.47236i −0.615680 + 0.204798i
\(715\) 2.94679 5.55823i 0.110204 0.207866i
\(716\) 17.4679 + 20.5648i 0.652807 + 0.768544i
\(717\) 9.22630 + 2.06832i 0.344562 + 0.0772427i
\(718\) −11.8693 + 8.04758i −0.442958 + 0.300333i
\(719\) −23.2266 + 2.52605i −0.866208 + 0.0942058i −0.530423 0.847733i \(-0.677967\pi\)
−0.335785 + 0.941939i \(0.609001\pi\)
\(720\) 0.362167 + 0.798976i 0.0134972 + 0.0297761i
\(721\) −1.24373 + 2.68829i −0.0463191 + 0.100117i
\(722\) −3.64991 13.1458i −0.135835 0.489235i
\(723\) −27.4400 18.7601i −1.02050 0.697696i
\(724\) −5.28898 0.575211i −0.196563 0.0213776i
\(725\) 11.7999 6.25592i 0.438238 0.232339i
\(726\) −4.53969 7.61153i −0.168484 0.282490i
\(727\) −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
\(729\) 23.4520 13.3793i 0.868592 0.495528i
\(730\) −0.260504 + 0.306689i −0.00964169 + 0.0113511i
\(731\) 10.5083 + 26.3738i 0.388662 + 0.975469i
\(732\) 1.49352 + 5.46106i 0.0552023 + 0.201846i
\(733\) −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
\(735\) 3.08165 + 0.0119214i 0.113669 + 0.000439727i
\(736\) 31.2335 + 18.7926i 1.15128 + 0.692703i
\(737\) 6.07916 6.41769i 0.223929 0.236399i
\(738\) −12.3616 6.67675i −0.455038 0.245775i
\(739\) −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
\(741\) −63.7603 21.7584i −2.34229 0.799313i
\(742\) 2.91879 8.66267i 0.107152 0.318017i
\(743\) 14.4375 18.9923i 0.529662 0.696758i −0.450988 0.892530i \(-0.648928\pi\)
0.980649 + 0.195772i \(0.0627213\pi\)
\(744\) −11.3273 + 40.1936i −0.415281 + 1.47357i
\(745\) 4.32073 + 3.67006i 0.158299 + 0.134461i
\(746\) −1.65190 + 5.94960i −0.0604803 + 0.217831i
\(747\) −1.58446 34.1025i −0.0579725 1.24774i
\(748\) 8.67761 + 14.4223i 0.317285 + 0.527331i
\(749\) 6.47685 + 2.58061i 0.236659 + 0.0942935i
\(750\) −1.06470 + 6.34062i −0.0388772 + 0.231527i
\(751\) 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
\(753\) −6.18875 + 15.3595i −0.225531 + 0.559732i
\(754\) −16.3814 7.57886i −0.596577 0.276006i
\(755\) 0.0416483 + 0.254043i 0.00151574 + 0.00924557i
\(756\) −8.24780 2.39343i −0.299970 0.0870481i
\(757\) −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
\(759\) 28.9783 1.45875i 1.05185 0.0529493i
\(760\) −5.86286 3.10829i −0.212668 0.112750i
\(761\) −1.04718 0.710004i −0.0379601 0.0257376i 0.542059 0.840340i \(-0.317645\pi\)
−0.580020 + 0.814603i \(0.696955\pi\)
\(762\) −7.31984 7.78758i −0.265170 0.282114i
\(763\) −23.1470 1.25499i −0.837978 0.0454339i
\(764\) 18.7326 4.12336i 0.677722 0.149178i
\(765\) 6.60092 + 4.04153i 0.238657 + 0.146122i
\(766\) 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
\(771\) 26.7879 31.2910i 0.964742 1.12692i
\(772\) 1.89581 11.5639i 0.0682317 0.416195i
\(773\) −5.15149