Properties

Label 273.2.by.d.97.7
Level $273$
Weight $2$
Character 273.97
Analytic conductor $2.180$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.7
Character \(\chi\) \(=\) 273.97
Dual form 273.2.by.d.76.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.385482 + 1.43864i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.189037 + 0.109141i) q^{4} +(-1.07205 - 1.07205i) q^{5} +(0.385482 - 1.43864i) q^{6} +(1.81743 - 1.92274i) q^{7} +(1.87643 + 1.87643i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.385482 + 1.43864i) q^{2} +(-0.866025 - 0.500000i) q^{3} +(-0.189037 + 0.109141i) q^{4} +(-1.07205 - 1.07205i) q^{5} +(0.385482 - 1.43864i) q^{6} +(1.81743 - 1.92274i) q^{7} +(1.87643 + 1.87643i) q^{8} +(0.500000 + 0.866025i) q^{9} +(1.12904 - 1.95556i) q^{10} +(1.68564 - 0.451666i) q^{11} +0.218281 q^{12} +(3.51131 - 0.818944i) q^{13} +(3.46672 + 1.87345i) q^{14} +(0.392399 + 1.46445i) q^{15} +(-2.19446 + 3.80091i) q^{16} +(1.43508 + 2.48563i) q^{17} +(-1.05316 + 1.05316i) q^{18} +(0.389597 - 1.45400i) q^{19} +(0.319663 + 0.0856533i) q^{20} +(-2.53531 + 0.756429i) q^{21} +(1.29957 + 2.25092i) q^{22} +(-3.21155 - 1.85419i) q^{23} +(-0.686821 - 2.56325i) q^{24} -2.70140i q^{25} +(2.53172 + 4.73583i) q^{26} -1.00000i q^{27} +(-0.133713 + 0.561826i) q^{28} +(-1.65473 + 2.86608i) q^{29} +(-1.95556 + 1.12904i) q^{30} +(1.32380 + 1.32380i) q^{31} +(-1.18757 - 0.318208i) q^{32} +(-1.68564 - 0.451666i) q^{33} +(-3.02273 + 3.02273i) q^{34} +(-4.00967 + 0.112899i) q^{35} +(-0.189037 - 0.109141i) q^{36} +(-5.83082 + 1.56236i) q^{37} +2.24196 q^{38} +(-3.45036 - 1.04643i) q^{39} -4.02327i q^{40} +(-3.10007 + 0.830662i) q^{41} +(-2.06555 - 3.35581i) q^{42} +(3.29020 - 1.89960i) q^{43} +(-0.269354 + 0.269354i) q^{44} +(0.392399 - 1.46445i) q^{45} +(1.42951 - 5.33502i) q^{46} +(-5.86346 + 5.86346i) q^{47} +(3.80091 - 2.19446i) q^{48} +(-0.393883 - 6.98891i) q^{49} +(3.88635 - 1.04134i) q^{50} -2.87016i q^{51} +(-0.574389 + 0.538038i) q^{52} -1.37219 q^{53} +(1.43864 - 0.385482i) q^{54} +(-2.29131 - 1.32289i) q^{55} +(7.01818 - 0.197610i) q^{56} +(-1.06440 + 1.06440i) q^{57} +(-4.76112 - 1.27574i) q^{58} +(0.967827 + 0.259328i) q^{59} +(-0.234009 - 0.234009i) q^{60} +(-0.0305081 + 0.0176138i) q^{61} +(-1.39417 + 2.41477i) q^{62} +(2.57386 + 0.612570i) q^{63} +6.94669i q^{64} +(-4.64227 - 2.88636i) q^{65} -2.59914i q^{66} +(-1.26183 - 4.70921i) q^{67} +(-0.542567 - 0.313251i) q^{68} +(1.85419 + 3.21155i) q^{69} +(-1.70808 - 5.72495i) q^{70} +(11.4087 + 3.05695i) q^{71} +(-0.686821 + 2.56325i) q^{72} +(-11.3351 + 11.3351i) q^{73} +(-4.49535 - 7.78618i) q^{74} +(-1.35070 + 2.33948i) q^{75} +(0.0850419 + 0.317381i) q^{76} +(2.19510 - 4.06193i) q^{77} +(0.175384 - 5.36721i) q^{78} -3.53025 q^{79} +(6.42736 - 1.72221i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-2.39005 - 4.13968i) q^{82} +(-10.8414 - 10.8414i) q^{83} +(0.396712 - 0.419699i) q^{84} +(1.12625 - 4.20321i) q^{85} +(4.00116 + 4.00116i) q^{86} +(2.86608 - 1.65473i) q^{87} +(4.01051 + 2.31547i) q^{88} +(2.02252 + 7.54814i) q^{89} +2.25808 q^{90} +(4.80695 - 8.23973i) q^{91} +0.809469 q^{92} +(-0.484543 - 1.80834i) q^{93} +(-10.6957 - 6.17514i) q^{94} +(-1.97643 + 1.14109i) q^{95} +(0.869359 + 0.869359i) q^{96} +(-2.46851 + 9.21262i) q^{97} +(9.90269 - 3.26076i) q^{98} +(1.23397 + 1.23397i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} + 2q^{5} - 2q^{6} + 2q^{7} + 2q^{8} + 16q^{9} + 2q^{10} - 4q^{11} + 32q^{12} + 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} - 8q^{17} + 2q^{18} + 2q^{19} + 44q^{20} - 4q^{21} - 4q^{22} - 18q^{23} + 4q^{24} - 28q^{26} - 32q^{28} - 18q^{29} - 14q^{31} - 8q^{32} + 4q^{33} - 66q^{34} + 22q^{35} + 6q^{36} - 24q^{37} + 24q^{38} + 8q^{39} - 26q^{42} - 6q^{43} - 20q^{44} + 4q^{45} - 58q^{46} - 28q^{47} - 60q^{48} + 8q^{49} + 70q^{50} + 28q^{52} - 80q^{53} - 4q^{54} + 60q^{55} - 54q^{56} + 16q^{57} - 4q^{58} - 42q^{59} - 58q^{60} + 36q^{61} + 52q^{62} + 4q^{63} + 14q^{65} + 26q^{67} - 72q^{68} + 2q^{69} - 116q^{70} - 4q^{71} + 4q^{72} + 12q^{73} - 18q^{74} + 16q^{75} - 48q^{76} + 28q^{77} - 14q^{78} - 4q^{79} - 98q^{80} - 16q^{81} + 20q^{82} - 36q^{83} - 18q^{84} - 10q^{85} - 40q^{86} + 96q^{88} - 54q^{89} + 4q^{90} + 148q^{91} - 4q^{92} + 2q^{93} + 60q^{95} + 22q^{96} - 40q^{97} + 36q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.385482 + 1.43864i 0.272577 + 1.01727i 0.957448 + 0.288607i \(0.0931921\pi\)
−0.684870 + 0.728665i \(0.740141\pi\)
\(3\) −0.866025 0.500000i −0.500000 0.288675i
\(4\) −0.189037 + 0.109141i −0.0945186 + 0.0545703i
\(5\) −1.07205 1.07205i −0.479437 0.479437i 0.425515 0.904952i \(-0.360093\pi\)
−0.904952 + 0.425515i \(0.860093\pi\)
\(6\) 0.385482 1.43864i 0.157373 0.587322i
\(7\) 1.81743 1.92274i 0.686925 0.726729i
\(8\) 1.87643 + 1.87643i 0.663418 + 0.663418i
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 1.12904 1.95556i 0.357034 0.618401i
\(11\) 1.68564 0.451666i 0.508240 0.136182i 0.00441837 0.999990i \(-0.498594\pi\)
0.503822 + 0.863808i \(0.331927\pi\)
\(12\) 0.218281 0.0630124
\(13\) 3.51131 0.818944i 0.973863 0.227134i
\(14\) 3.46672 + 1.87345i 0.926521 + 0.500700i
\(15\) 0.392399 + 1.46445i 0.101317 + 0.378120i
\(16\) −2.19446 + 3.80091i −0.548614 + 0.950228i
\(17\) 1.43508 + 2.48563i 0.348058 + 0.602854i 0.985904 0.167310i \(-0.0535079\pi\)
−0.637847 + 0.770164i \(0.720175\pi\)
\(18\) −1.05316 + 1.05316i −0.248232 + 0.248232i
\(19\) 0.389597 1.45400i 0.0893798 0.333570i −0.906728 0.421717i \(-0.861428\pi\)
0.996108 + 0.0881466i \(0.0280944\pi\)
\(20\) 0.319663 + 0.0856533i 0.0714787 + 0.0191527i
\(21\) −2.53531 + 0.756429i −0.553251 + 0.165066i
\(22\) 1.29957 + 2.25092i 0.277069 + 0.479898i
\(23\) −3.21155 1.85419i −0.669654 0.386625i 0.126292 0.991993i \(-0.459693\pi\)
−0.795946 + 0.605368i \(0.793026\pi\)
\(24\) −0.686821 2.56325i −0.140197 0.523222i
\(25\) 2.70140i 0.540281i
\(26\) 2.53172 + 4.73583i 0.496510 + 0.928772i
\(27\) 1.00000i 0.192450i
\(28\) −0.133713 + 0.561826i −0.0252693 + 0.106175i
\(29\) −1.65473 + 2.86608i −0.307276 + 0.532217i −0.977765 0.209702i \(-0.932751\pi\)
0.670490 + 0.741919i \(0.266084\pi\)
\(30\) −1.95556 + 1.12904i −0.357034 + 0.206134i
\(31\) 1.32380 + 1.32380i 0.237761 + 0.237761i 0.815922 0.578161i \(-0.196230\pi\)
−0.578161 + 0.815922i \(0.696230\pi\)
\(32\) −1.18757 0.318208i −0.209934 0.0562517i
\(33\) −1.68564 0.451666i −0.293432 0.0786250i
\(34\) −3.02273 + 3.02273i −0.518394 + 0.518394i
\(35\) −4.00967 + 0.112899i −0.677757 + 0.0190835i
\(36\) −0.189037 0.109141i −0.0315062 0.0181901i
\(37\) −5.83082 + 1.56236i −0.958580 + 0.256851i −0.703999 0.710201i \(-0.748604\pi\)
−0.254581 + 0.967051i \(0.581938\pi\)
\(38\) 2.24196 0.363694
\(39\) −3.45036 1.04643i −0.552500 0.167563i
\(40\) 4.02327i 0.636134i
\(41\) −3.10007 + 0.830662i −0.484150 + 0.129728i −0.492634 0.870236i \(-0.663966\pi\)
0.00848433 + 0.999964i \(0.497299\pi\)
\(42\) −2.06555 3.35581i −0.318721 0.517813i
\(43\) 3.29020 1.89960i 0.501751 0.289686i −0.227685 0.973735i \(-0.573116\pi\)
0.729436 + 0.684049i \(0.239782\pi\)
\(44\) −0.269354 + 0.269354i −0.0406066 + 0.0406066i
\(45\) 0.392399 1.46445i 0.0584954 0.218308i
\(46\) 1.42951 5.33502i 0.210770 0.786605i
\(47\) −5.86346 + 5.86346i −0.855273 + 0.855273i −0.990777 0.135504i \(-0.956735\pi\)
0.135504 + 0.990777i \(0.456735\pi\)
\(48\) 3.80091 2.19446i 0.548614 0.316743i
\(49\) −0.393883 6.98891i −0.0562690 0.998416i
\(50\) 3.88635 1.04134i 0.549612 0.147268i
\(51\) 2.87016i 0.401903i
\(52\) −0.574389 + 0.538038i −0.0796534 + 0.0746125i
\(53\) −1.37219 −0.188484 −0.0942422 0.995549i \(-0.530043\pi\)
−0.0942422 + 0.995549i \(0.530043\pi\)
\(54\) 1.43864 0.385482i 0.195774 0.0524575i
\(55\) −2.29131 1.32289i −0.308960 0.178378i
\(56\) 7.01818 0.197610i 0.937843 0.0264067i
\(57\) −1.06440 + 1.06440i −0.140983 + 0.140983i
\(58\) −4.76112 1.27574i −0.625166 0.167513i
\(59\) 0.967827 + 0.259328i 0.126000 + 0.0337617i 0.321268 0.946988i \(-0.395891\pi\)
−0.195268 + 0.980750i \(0.562558\pi\)
\(60\) −0.234009 0.234009i −0.0302105 0.0302105i
\(61\) −0.0305081 + 0.0176138i −0.00390616 + 0.00225522i −0.501952 0.864896i \(-0.667385\pi\)
0.498046 + 0.867151i \(0.334051\pi\)
\(62\) −1.39417 + 2.41477i −0.177059 + 0.306676i
\(63\) 2.57386 + 0.612570i 0.324276 + 0.0771766i
\(64\) 6.94669i 0.868336i
\(65\) −4.64227 2.88636i −0.575803 0.358009i
\(66\) 2.59914i 0.319932i
\(67\) −1.26183 4.70921i −0.154157 0.575322i −0.999176 0.0405858i \(-0.987078\pi\)
0.845019 0.534736i \(-0.179589\pi\)
\(68\) −0.542567 0.313251i −0.0657959 0.0379873i
\(69\) 1.85419 + 3.21155i 0.223218 + 0.386625i
\(70\) −1.70808 5.72495i −0.204154 0.684262i
\(71\) 11.4087 + 3.05695i 1.35396 + 0.362793i 0.861595 0.507596i \(-0.169466\pi\)
0.492366 + 0.870388i \(0.336132\pi\)
\(72\) −0.686821 + 2.56325i −0.0809427 + 0.302082i
\(73\) −11.3351 + 11.3351i −1.32667 + 1.32667i −0.418410 + 0.908258i \(0.637413\pi\)
−0.908258 + 0.418410i \(0.862587\pi\)
\(74\) −4.49535 7.78618i −0.522574 0.905125i
\(75\) −1.35070 + 2.33948i −0.155966 + 0.270140i
\(76\) 0.0850419 + 0.317381i 0.00975497 + 0.0364061i
\(77\) 2.19510 4.06193i 0.250155 0.462900i
\(78\) 0.175384 5.36721i 0.0198583 0.607716i
\(79\) −3.53025 −0.397184 −0.198592 0.980082i \(-0.563637\pi\)
−0.198592 + 0.980082i \(0.563637\pi\)
\(80\) 6.42736 1.72221i 0.718600 0.192548i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −2.39005 4.13968i −0.263937 0.457151i
\(83\) −10.8414 10.8414i −1.19000 1.19000i −0.977066 0.212936i \(-0.931698\pi\)
−0.212936 0.977066i \(-0.568302\pi\)
\(84\) 0.396712 0.419699i 0.0432848 0.0457929i
\(85\) 1.12625 4.20321i 0.122159 0.455902i
\(86\) 4.00116 + 4.00116i 0.431456 + 0.431456i
\(87\) 2.86608 1.65473i 0.307276 0.177406i
\(88\) 4.01051 + 2.31547i 0.427522 + 0.246830i
\(89\) 2.02252 + 7.54814i 0.214386 + 0.800101i 0.986382 + 0.164473i \(0.0525922\pi\)
−0.771995 + 0.635628i \(0.780741\pi\)
\(90\) 2.25808 0.238023
\(91\) 4.80695 8.23973i 0.503906 0.863759i
\(92\) 0.809469 0.0843930
\(93\) −0.484543 1.80834i −0.0502448 0.187516i
\(94\) −10.6957 6.17514i −1.10317 0.636918i
\(95\) −1.97643 + 1.14109i −0.202778 + 0.117074i
\(96\) 0.869359 + 0.869359i 0.0887286 + 0.0887286i
\(97\) −2.46851 + 9.21262i −0.250640 + 0.935400i 0.719825 + 0.694156i \(0.244222\pi\)
−0.970465 + 0.241244i \(0.922445\pi\)
\(98\) 9.90269 3.26076i 1.00032 0.329386i
\(99\) 1.23397 + 1.23397i 0.124019 + 0.124019i
\(100\) 0.294833 + 0.510666i 0.0294833 + 0.0510666i
\(101\) 6.74473 11.6822i 0.671125 1.16242i −0.306460 0.951883i \(-0.599145\pi\)
0.977585 0.210540i \(-0.0675221\pi\)
\(102\) 4.12913 1.10640i 0.408844 0.109550i
\(103\) 8.93370 0.880264 0.440132 0.897933i \(-0.354932\pi\)
0.440132 + 0.897933i \(0.354932\pi\)
\(104\) 8.12543 + 5.05205i 0.796764 + 0.495394i
\(105\) 3.52892 + 1.90706i 0.344388 + 0.186110i
\(106\) −0.528954 1.97408i −0.0513766 0.191740i
\(107\) −6.52366 + 11.2993i −0.630666 + 1.09235i 0.356750 + 0.934200i \(0.383885\pi\)
−0.987416 + 0.158146i \(0.949448\pi\)
\(108\) 0.109141 + 0.189037i 0.0105021 + 0.0181901i
\(109\) −14.0320 + 14.0320i −1.34402 + 1.34402i −0.452007 + 0.892015i \(0.649292\pi\)
−0.892015 + 0.452007i \(0.850708\pi\)
\(110\) 1.01990 3.80632i 0.0972436 0.362918i
\(111\) 5.83082 + 1.56236i 0.553436 + 0.148293i
\(112\) 3.31990 + 11.1273i 0.313701 + 1.05143i
\(113\) −5.60312 9.70489i −0.527097 0.912959i −0.999501 0.0315769i \(-0.989947\pi\)
0.472404 0.881382i \(-0.343386\pi\)
\(114\) −1.94160 1.12098i −0.181847 0.104989i
\(115\) 1.45516 + 5.43074i 0.135695 + 0.506419i
\(116\) 0.722393i 0.0670725i
\(117\) 2.46488 + 2.63142i 0.227879 + 0.243274i
\(118\) 1.49232i 0.137379i
\(119\) 7.38739 + 1.75817i 0.677201 + 0.161172i
\(120\) −2.01163 + 3.48425i −0.183636 + 0.318067i
\(121\) −6.88890 + 3.97731i −0.626263 + 0.361573i
\(122\) −0.0371003 0.0371003i −0.00335890 0.00335890i
\(123\) 3.10007 + 0.830662i 0.279524 + 0.0748983i
\(124\) −0.394727 0.105767i −0.0354475 0.00949814i
\(125\) −8.25632 + 8.25632i −0.738467 + 0.738467i
\(126\) 0.110910 + 3.93899i 0.00988061 + 0.350913i
\(127\) 3.67035 + 2.11908i 0.325691 + 0.188038i 0.653926 0.756558i \(-0.273121\pi\)
−0.328235 + 0.944596i \(0.606454\pi\)
\(128\) −12.3689 + 3.31424i −1.09327 + 0.292940i
\(129\) −3.79920 −0.334501
\(130\) 2.36293 7.79120i 0.207242 0.683333i
\(131\) 7.27464i 0.635589i −0.948160 0.317794i \(-0.897058\pi\)
0.948160 0.317794i \(-0.102942\pi\)
\(132\) 0.367944 0.0985903i 0.0320254 0.00858119i
\(133\) −2.08760 3.39164i −0.181018 0.294092i
\(134\) 6.28845 3.63064i 0.543239 0.313639i
\(135\) −1.07205 + 1.07205i −0.0922677 + 0.0922677i
\(136\) −1.97129 + 7.35694i −0.169036 + 0.630852i
\(137\) −5.38885 + 20.1115i −0.460400 + 1.71824i 0.211306 + 0.977420i \(0.432228\pi\)
−0.671706 + 0.740818i \(0.734438\pi\)
\(138\) −3.90550 + 3.90550i −0.332459 + 0.332459i
\(139\) 16.2490 9.38137i 1.37822 0.795718i 0.386278 0.922382i \(-0.373761\pi\)
0.991946 + 0.126665i \(0.0404272\pi\)
\(140\) 0.745654 0.458960i 0.0630193 0.0387892i
\(141\) 8.00963 2.14617i 0.674533 0.180741i
\(142\) 17.5914i 1.47624i
\(143\) 5.54893 2.96639i 0.464025 0.248062i
\(144\) −4.38892 −0.365743
\(145\) 4.84654 1.29863i 0.402484 0.107845i
\(146\) −20.6765 11.9376i −1.71120 0.987963i
\(147\) −3.15334 + 6.24951i −0.260083 + 0.515451i
\(148\) 0.931724 0.931724i 0.0765872 0.0765872i
\(149\) −1.73434 0.464716i −0.142083 0.0380710i 0.187077 0.982345i \(-0.440099\pi\)
−0.329160 + 0.944274i \(0.606765\pi\)
\(150\) −3.88635 1.04134i −0.317319 0.0850253i
\(151\) 14.9709 + 14.9709i 1.21832 + 1.21832i 0.968221 + 0.250095i \(0.0804619\pi\)
0.250095 + 0.968221i \(0.419538\pi\)
\(152\) 3.45938 1.99727i 0.280593 0.162000i
\(153\) −1.43508 + 2.48563i −0.116019 + 0.200951i
\(154\) 6.68982 + 1.59216i 0.539081 + 0.128300i
\(155\) 2.83836i 0.227983i
\(156\) 0.766455 0.178760i 0.0613655 0.0143123i
\(157\) 19.5001i 1.55628i 0.628093 + 0.778138i \(0.283836\pi\)
−0.628093 + 0.778138i \(0.716164\pi\)
\(158\) −1.36085 5.07876i −0.108263 0.404044i
\(159\) 1.18835 + 0.686094i 0.0942422 + 0.0544108i
\(160\) 0.931999 + 1.61427i 0.0736810 + 0.127619i
\(161\) −9.40190 + 2.80512i −0.740973 + 0.221075i
\(162\) −1.43864 0.385482i −0.113030 0.0302864i
\(163\) 3.90415 14.5705i 0.305797 1.14125i −0.626460 0.779453i \(-0.715497\pi\)
0.932257 0.361796i \(-0.117836\pi\)
\(164\) 0.495370 0.495370i 0.0386819 0.0386819i
\(165\) 1.32289 + 2.29131i 0.102987 + 0.178378i
\(166\) 11.4177 19.7761i 0.886188 1.53492i
\(167\) −2.08221 7.77093i −0.161127 0.601333i −0.998503 0.0547052i \(-0.982578\pi\)
0.837376 0.546627i \(-0.184089\pi\)
\(168\) −6.17673 3.33795i −0.476545 0.257529i
\(169\) 11.6587 5.75114i 0.896820 0.442396i
\(170\) 6.48105 0.497074
\(171\) 1.45400 0.389597i 0.111190 0.0297933i
\(172\) −0.414647 + 0.718190i −0.0316166 + 0.0547615i
\(173\) −10.9025 18.8837i −0.828903 1.43570i −0.898899 0.438155i \(-0.855632\pi\)
0.0699960 0.997547i \(-0.477701\pi\)
\(174\) 3.48538 + 3.48538i 0.264226 + 0.264226i
\(175\) −5.19410 4.90962i −0.392637 0.371132i
\(176\) −1.98232 + 7.39814i −0.149423 + 0.557656i
\(177\) −0.708498 0.708498i −0.0532540 0.0532540i
\(178\) −10.0794 + 5.81935i −0.755484 + 0.436179i
\(179\) 8.41680 + 4.85944i 0.629101 + 0.363212i 0.780404 0.625276i \(-0.215014\pi\)
−0.151303 + 0.988487i \(0.548347\pi\)
\(180\) 0.0856533 + 0.319663i 0.00638422 + 0.0238262i
\(181\) 13.6038 1.01116 0.505580 0.862779i \(-0.331278\pi\)
0.505580 + 0.862779i \(0.331278\pi\)
\(182\) 13.7070 + 3.73921i 1.01603 + 0.277168i
\(183\) 0.0352277 0.00260411
\(184\) −2.54699 9.50550i −0.187767 0.700755i
\(185\) 7.92588 + 4.57601i 0.582722 + 0.336435i
\(186\) 2.41477 1.39417i 0.177059 0.102225i
\(187\) 3.54170 + 3.54170i 0.258995 + 0.258995i
\(188\) 0.468470 1.74835i 0.0341667 0.127512i
\(189\) −1.92274 1.81743i −0.139859 0.132199i
\(190\) −2.40350 2.40350i −0.174368 0.174368i
\(191\) 0.423116 + 0.732859i 0.0306156 + 0.0530278i 0.880927 0.473252i \(-0.156920\pi\)
−0.850312 + 0.526280i \(0.823587\pi\)
\(192\) 3.47334 6.01601i 0.250667 0.434168i
\(193\) −1.53179 + 0.410441i −0.110260 + 0.0295442i −0.313527 0.949579i \(-0.601511\pi\)
0.203267 + 0.979123i \(0.434844\pi\)
\(194\) −14.2052 −1.01987
\(195\) 2.57714 + 4.82080i 0.184553 + 0.345225i
\(196\) 0.837233 + 1.27818i 0.0598024 + 0.0912982i
\(197\) −1.35016 5.03888i −0.0961951 0.359005i 0.901003 0.433813i \(-0.142832\pi\)
−0.997198 + 0.0748081i \(0.976166\pi\)
\(198\) −1.29957 + 2.25092i −0.0923564 + 0.159966i
\(199\) −0.678170 1.17462i −0.0480742 0.0832670i 0.840987 0.541055i \(-0.181975\pi\)
−0.889061 + 0.457788i \(0.848642\pi\)
\(200\) 5.06899 5.06899i 0.358432 0.358432i
\(201\) −1.26183 + 4.70921i −0.0890026 + 0.332162i
\(202\) 19.4065 + 5.19995i 1.36543 + 0.365867i
\(203\) 2.50337 + 8.39052i 0.175702 + 0.588899i
\(204\) 0.313251 + 0.542567i 0.0219320 + 0.0379873i
\(205\) 4.21396 + 2.43293i 0.294316 + 0.169923i
\(206\) 3.44379 + 12.8524i 0.239940 + 0.895468i
\(207\) 3.70838i 0.257750i
\(208\) −4.59270 + 15.1433i −0.318446 + 1.05000i
\(209\) 2.62689i 0.181706i
\(210\) −1.38323 + 5.81199i −0.0954522 + 0.401065i
\(211\) 12.4140 21.5017i 0.854616 1.48024i −0.0223853 0.999749i \(-0.507126\pi\)
0.877001 0.480488i \(-0.159541\pi\)
\(212\) 0.259394 0.149761i 0.0178153 0.0102857i
\(213\) −8.35173 8.35173i −0.572251 0.572251i
\(214\) −18.7704 5.02951i −1.28312 0.343810i
\(215\) −5.56375 1.49080i −0.379444 0.101672i
\(216\) 1.87643 1.87643i 0.127675 0.127675i
\(217\) 4.95123 0.139411i 0.336112 0.00946384i
\(218\) −25.5961 14.7779i −1.73358 1.00089i
\(219\) 15.4840 4.14892i 1.04631 0.280358i
\(220\) 0.577523 0.0389366
\(221\) 7.07461 + 7.55258i 0.475890 + 0.508042i
\(222\) 8.99071i 0.603417i
\(223\) −13.6453 + 3.65626i −0.913760 + 0.244841i −0.684916 0.728622i \(-0.740161\pi\)
−0.228844 + 0.973463i \(0.573494\pi\)
\(224\) −2.77015 + 1.70507i −0.185089 + 0.113924i
\(225\) 2.33948 1.35070i 0.155966 0.0900468i
\(226\) 11.8019 11.8019i 0.785053 0.785053i
\(227\) 5.76681 21.5220i 0.382757 1.42847i −0.458916 0.888480i \(-0.651762\pi\)
0.841673 0.539988i \(-0.181571\pi\)
\(228\) 0.0850419 0.317381i 0.00563204 0.0210190i
\(229\) 8.69387 8.69387i 0.574507 0.574507i −0.358877 0.933385i \(-0.616840\pi\)
0.933385 + 0.358877i \(0.116840\pi\)
\(230\) −7.25194 + 4.18691i −0.478179 + 0.276077i
\(231\) −3.93198 + 2.42018i −0.258705 + 0.159236i
\(232\) −8.48298 + 2.27301i −0.556935 + 0.149230i
\(233\) 26.8466i 1.75878i −0.476104 0.879389i \(-0.657952\pi\)
0.476104 0.879389i \(-0.342048\pi\)
\(234\) −2.83549 + 4.56044i −0.185362 + 0.298126i
\(235\) 12.5719 0.820099
\(236\) −0.211259 + 0.0566065i −0.0137518 + 0.00368477i
\(237\) 3.05729 + 1.76513i 0.198592 + 0.114657i
\(238\) 0.318328 + 11.3055i 0.0206341 + 0.732829i
\(239\) 6.42765 6.42765i 0.415770 0.415770i −0.467973 0.883743i \(-0.655016\pi\)
0.883743 + 0.467973i \(0.155016\pi\)
\(240\) −6.42736 1.72221i −0.414884 0.111168i
\(241\) −21.5089 5.76329i −1.38551 0.371246i −0.512391 0.858752i \(-0.671240\pi\)
−0.873120 + 0.487506i \(0.837907\pi\)
\(242\) −8.37746 8.37746i −0.538523 0.538523i
\(243\) 0.866025 0.500000i 0.0555556 0.0320750i
\(244\) 0.00384478 0.00665935i 0.000246137 0.000426321i
\(245\) −7.07022 + 7.91475i −0.451700 + 0.505655i
\(246\) 4.78009i 0.304768i
\(247\) 0.177256 5.42450i 0.0112785 0.345153i
\(248\) 4.96803i 0.315470i
\(249\) 3.96824 + 14.8097i 0.251477 + 0.938525i
\(250\) −15.0605 8.69520i −0.952511 0.549933i
\(251\) −15.2735 26.4545i −0.964055 1.66979i −0.712134 0.702044i \(-0.752271\pi\)
−0.251921 0.967748i \(-0.581062\pi\)
\(252\) −0.553412 + 0.165114i −0.0348617 + 0.0104012i
\(253\) −6.25099 1.67495i −0.392996 0.105303i
\(254\) −1.63374 + 6.09718i −0.102510 + 0.382571i
\(255\) −3.07696 + 3.07696i −0.192687 + 0.192687i
\(256\) −2.58931 4.48482i −0.161832 0.280301i
\(257\) −6.53903 + 11.3259i −0.407894 + 0.706493i −0.994654 0.103268i \(-0.967070\pi\)
0.586760 + 0.809761i \(0.300403\pi\)
\(258\) −1.46452 5.46568i −0.0911773 0.340278i
\(259\) −7.59309 + 14.0506i −0.471812 + 0.873065i
\(260\) 1.19258 + 0.0389699i 0.0739608 + 0.00241681i
\(261\) −3.30946 −0.204850
\(262\) 10.4656 2.80425i 0.646566 0.173247i
\(263\) −4.59748 + 7.96308i −0.283493 + 0.491024i −0.972243 0.233975i \(-0.924827\pi\)
0.688750 + 0.724999i \(0.258160\pi\)
\(264\) −2.31547 4.01051i −0.142507 0.246830i
\(265\) 1.47106 + 1.47106i 0.0903664 + 0.0903664i
\(266\) 4.07461 4.31072i 0.249831 0.264307i
\(267\) 2.02252 7.54814i 0.123776 0.461939i
\(268\) 0.752500 + 0.752500i 0.0459662 + 0.0459662i
\(269\) 10.0654 5.81128i 0.613700 0.354320i −0.160712 0.987001i \(-0.551379\pi\)
0.774412 + 0.632681i \(0.218046\pi\)
\(270\) −1.95556 1.12904i −0.119011 0.0687112i
\(271\) 5.43020 + 20.2658i 0.329861 + 1.23106i 0.909334 + 0.416067i \(0.136592\pi\)
−0.579473 + 0.814991i \(0.696742\pi\)
\(272\) −12.5969 −0.763798
\(273\) −8.28281 + 4.73234i −0.501299 + 0.286414i
\(274\) −31.0104 −1.87341
\(275\) −1.22013 4.55360i −0.0735768 0.274592i
\(276\) −0.701021 0.404735i −0.0421965 0.0243622i
\(277\) −13.6743 + 7.89485i −0.821608 + 0.474356i −0.850971 0.525213i \(-0.823986\pi\)
0.0293625 + 0.999569i \(0.490652\pi\)
\(278\) 19.7601 + 19.7601i 1.18513 + 1.18513i
\(279\) −0.484543 + 1.80834i −0.0290089 + 0.108263i
\(280\) −7.73571 7.31201i −0.462297 0.436976i
\(281\) −6.16446 6.16446i −0.367741 0.367741i 0.498912 0.866653i \(-0.333733\pi\)
−0.866653 + 0.498912i \(0.833733\pi\)
\(282\) 6.17514 + 10.6957i 0.367725 + 0.636918i
\(283\) −2.66486 + 4.61567i −0.158410 + 0.274373i −0.934295 0.356500i \(-0.883970\pi\)
0.775886 + 0.630873i \(0.217303\pi\)
\(284\) −2.49030 + 0.667274i −0.147772 + 0.0395954i
\(285\) 2.28219 0.135185
\(286\) 6.40658 + 6.83942i 0.378829 + 0.404423i
\(287\) −4.03702 + 7.47032i −0.238298 + 0.440959i
\(288\) −0.318208 1.18757i −0.0187506 0.0699780i
\(289\) 4.38109 7.58828i 0.257711 0.446369i
\(290\) 3.73652 + 6.47183i 0.219416 + 0.380039i
\(291\) 6.74410 6.74410i 0.395346 0.395346i
\(292\) 0.905632 3.37986i 0.0529981 0.197792i
\(293\) 20.8745 + 5.59331i 1.21950 + 0.326764i 0.810483 0.585762i \(-0.199205\pi\)
0.409018 + 0.912526i \(0.365871\pi\)
\(294\) −10.2064 2.12745i −0.595247 0.124075i
\(295\) −0.759548 1.31558i −0.0442226 0.0765958i
\(296\) −13.8728 8.00945i −0.806339 0.465540i
\(297\) −0.451666 1.68564i −0.0262083 0.0978108i
\(298\) 2.67424i 0.154914i
\(299\) −12.7952 3.88056i −0.739967 0.224418i
\(300\) 0.589666i 0.0340444i
\(301\) 2.32728 9.77861i 0.134142 0.563630i
\(302\) −15.7667 + 27.3088i −0.907274 + 1.57144i
\(303\) −11.6822 + 6.74473i −0.671125 + 0.387474i
\(304\) 4.67156 + 4.67156i 0.267933 + 0.267933i
\(305\) 0.0515893 + 0.0138233i 0.00295399 + 0.000791520i
\(306\) −4.12913 1.10640i −0.236046 0.0632484i
\(307\) −3.48509 + 3.48509i −0.198904 + 0.198904i −0.799530 0.600626i \(-0.794918\pi\)
0.600626 + 0.799530i \(0.294918\pi\)
\(308\) 0.0283660 + 1.00743i 0.00161630 + 0.0574037i
\(309\) −7.73681 4.46685i −0.440132 0.254110i
\(310\) 4.08338 1.09414i 0.231920 0.0621429i
\(311\) −16.5536 −0.938671 −0.469335 0.883020i \(-0.655506\pi\)
−0.469335 + 0.883020i \(0.655506\pi\)
\(312\) −4.51081 8.43791i −0.255374 0.477703i
\(313\) 21.0200i 1.18812i 0.804421 + 0.594060i \(0.202476\pi\)
−0.804421 + 0.594060i \(0.797524\pi\)
\(314\) −28.0536 + 7.51694i −1.58316 + 0.424205i
\(315\) −2.10261 3.41602i −0.118469 0.192471i
\(316\) 0.667349 0.385294i 0.0375413 0.0216745i
\(317\) 10.3124 10.3124i 0.579204 0.579204i −0.355480 0.934684i \(-0.615683\pi\)
0.934684 + 0.355480i \(0.115683\pi\)
\(318\) −0.528954 + 1.97408i −0.0296623 + 0.110701i
\(319\) −1.49477 + 5.57856i −0.0836911 + 0.312339i
\(320\) 7.44722 7.44722i 0.416312 0.416312i
\(321\) 11.2993 6.52366i 0.630666 0.364115i
\(322\) −7.65982 12.4446i −0.426865 0.693511i
\(323\) 4.17320 1.11821i 0.232203 0.0622187i
\(324\) 0.218281i 0.0121267i
\(325\) −2.21230 9.48548i −0.122716 0.526160i
\(326\) 22.4667 1.24431
\(327\) 19.1681 5.13607i 1.06000 0.284025i
\(328\) −7.37575 4.25839i −0.407258 0.235130i
\(329\) 0.617489 + 21.9304i 0.0340433 + 1.20906i
\(330\) −2.78642 + 2.78642i −0.153387 + 0.153387i
\(331\) 22.7352 + 6.09189i 1.24964 + 0.334840i 0.822198 0.569202i \(-0.192748\pi\)
0.427444 + 0.904042i \(0.359414\pi\)
\(332\) 3.23268 + 0.866193i 0.177416 + 0.0475385i
\(333\) −4.26845 4.26845i −0.233910 0.233910i
\(334\) 10.3769 5.99111i 0.567799 0.327819i
\(335\) −3.69578 + 6.40128i −0.201922 + 0.349739i
\(336\) 2.68852 11.2965i 0.146671 0.616272i
\(337\) 14.6004i 0.795337i 0.917529 + 0.397668i \(0.130181\pi\)
−0.917529 + 0.397668i \(0.869819\pi\)
\(338\) 12.7680 + 14.5556i 0.694489 + 0.791723i
\(339\) 11.2062i 0.608639i
\(340\) 0.245839 + 0.917483i 0.0133325 + 0.0497575i
\(341\) 2.82936 + 1.63353i 0.153219 + 0.0884607i
\(342\) 1.12098 + 1.94160i 0.0606157 + 0.104989i
\(343\) −14.1537 11.9445i −0.764230 0.644944i
\(344\) 9.73830 + 2.60937i 0.525054 + 0.140688i
\(345\) 1.45516 5.43074i 0.0783433 0.292381i
\(346\) 22.9641 22.9641i 1.23456 1.23456i
\(347\) −8.48574 14.6977i −0.455538 0.789016i 0.543181 0.839616i \(-0.317220\pi\)
−0.998719 + 0.0506002i \(0.983887\pi\)
\(348\) −0.361197 + 0.625611i −0.0193622 + 0.0335363i
\(349\) −0.728645 2.71934i −0.0390035 0.145563i 0.943678 0.330865i \(-0.107340\pi\)
−0.982682 + 0.185302i \(0.940674\pi\)
\(350\) 5.06093 9.36502i 0.270518 0.500581i
\(351\) −0.818944 3.51131i −0.0437120 0.187420i
\(352\) −2.14553 −0.114357
\(353\) 30.6157 8.20345i 1.62951 0.436625i 0.675733 0.737146i \(-0.263827\pi\)
0.953775 + 0.300521i \(0.0971605\pi\)
\(354\) 0.746160 1.29239i 0.0396580 0.0686896i
\(355\) −8.95350 15.5079i −0.475203 0.823075i
\(356\) −1.20614 1.20614i −0.0639253 0.0639253i
\(357\) −5.51858 5.21632i −0.292074 0.276077i
\(358\) −3.74646 + 13.9820i −0.198006 + 0.738970i
\(359\) 12.8172 + 12.8172i 0.676466 + 0.676466i 0.959199 0.282733i \(-0.0912410\pi\)
−0.282733 + 0.959199i \(0.591241\pi\)
\(360\) 3.48425 2.01163i 0.183636 0.106022i
\(361\) 14.4922 + 8.36705i 0.762745 + 0.440371i
\(362\) 5.24402 + 19.5709i 0.275619 + 1.02863i
\(363\) 7.95461 0.417509
\(364\) −0.00940337 + 2.08225i −0.000492870 + 0.109140i
\(365\) 24.3036 1.27211
\(366\) 0.0135797 + 0.0506800i 0.000709820 + 0.00264908i
\(367\) −3.51454 2.02912i −0.183457 0.105919i 0.405459 0.914113i \(-0.367112\pi\)
−0.588916 + 0.808194i \(0.700445\pi\)
\(368\) 14.0952 8.13787i 0.734764 0.424216i
\(369\) −2.26941 2.26941i −0.118141 0.118141i
\(370\) −3.52794 + 13.1665i −0.183409 + 0.684492i
\(371\) −2.49386 + 2.63836i −0.129475 + 0.136977i
\(372\) 0.288960 + 0.288960i 0.0149819 + 0.0149819i
\(373\) 5.07453 + 8.78935i 0.262749 + 0.455095i 0.966972 0.254884i \(-0.0820374\pi\)
−0.704222 + 0.709980i \(0.748704\pi\)
\(374\) −3.72997 + 6.46050i −0.192872 + 0.334065i
\(375\) 11.2783 3.02202i 0.582411 0.156056i
\(376\) −22.0047 −1.13481
\(377\) −3.46312 + 11.4188i −0.178360 + 0.588099i
\(378\) 1.87345 3.46672i 0.0963597 0.178309i
\(379\) 1.04136 + 3.88639i 0.0534908 + 0.199630i 0.987500 0.157618i \(-0.0503815\pi\)
−0.934009 + 0.357249i \(0.883715\pi\)
\(380\) 0.249080 0.431418i 0.0127775 0.0221313i
\(381\) −2.11908 3.67035i −0.108564 0.188038i
\(382\) −0.891216 + 0.891216i −0.0455986 + 0.0455986i
\(383\) 0.289889 1.08188i 0.0148126 0.0552815i −0.958124 0.286354i \(-0.907557\pi\)
0.972937 + 0.231072i \(0.0742234\pi\)
\(384\) 12.3689 + 3.31424i 0.631199 + 0.169129i
\(385\) −6.70787 + 2.00134i −0.341865 + 0.101998i
\(386\) −1.18095 2.04547i −0.0601090 0.104112i
\(387\) 3.29020 + 1.89960i 0.167250 + 0.0965621i
\(388\) −0.538830 2.01094i −0.0273550 0.102090i
\(389\) 2.46580i 0.125021i −0.998044 0.0625106i \(-0.980089\pi\)
0.998044 0.0625106i \(-0.0199107\pi\)
\(390\) −5.94195 + 5.56591i −0.300882 + 0.281841i
\(391\) 10.6436i 0.538271i
\(392\) 12.3751 13.8533i 0.625037 0.699697i
\(393\) −3.63732 + 6.30003i −0.183479 + 0.317794i
\(394\) 6.72867 3.88480i 0.338985 0.195713i
\(395\) 3.78462 + 3.78462i 0.190425 + 0.190425i
\(396\) −0.367944 0.0985903i −0.0184899 0.00495435i
\(397\) −13.8529 3.71187i −0.695257 0.186294i −0.106152 0.994350i \(-0.533853\pi\)
−0.589105 + 0.808056i \(0.700520\pi\)
\(398\) 1.42844 1.42844i 0.0716012 0.0716012i
\(399\) 0.112094 + 3.98104i 0.00561170 + 0.199301i
\(400\) 10.2678 + 5.92812i 0.513390 + 0.296406i
\(401\) 9.59670 2.57143i 0.479236 0.128411i −0.0111107 0.999938i \(-0.503537\pi\)
0.490347 + 0.871527i \(0.336870\pi\)
\(402\) −7.26128 −0.362160
\(403\) 5.73238 + 3.56415i 0.285550 + 0.177543i
\(404\) 2.94450i 0.146494i
\(405\) 1.46445 0.392399i 0.0727692 0.0194985i
\(406\) −11.1059 + 6.83584i −0.551178 + 0.339257i
\(407\) −9.12300 + 5.26716i −0.452210 + 0.261084i
\(408\) 5.38565 5.38565i 0.266630 0.266630i
\(409\) 9.20429 34.3509i 0.455123 1.69854i −0.232603 0.972572i \(-0.574724\pi\)
0.687726 0.725970i \(-0.258609\pi\)
\(410\) −1.87570 + 7.00022i −0.0926344 + 0.345716i
\(411\) 14.7226 14.7226i 0.726213 0.726213i
\(412\) −1.68880 + 0.975031i −0.0832013 + 0.0480363i
\(413\) 2.25758 1.38957i 0.111088 0.0683763i
\(414\) 5.33502 1.42951i 0.262202 0.0702568i
\(415\) 23.2452i 1.14106i
\(416\) −4.43051 0.144776i −0.217224 0.00709821i
\(417\) −18.7627 −0.918816
\(418\) 3.77914 1.01262i 0.184844 0.0495288i
\(419\) 22.2160 + 12.8264i 1.08532 + 0.626611i 0.932327 0.361616i \(-0.117775\pi\)
0.152995 + 0.988227i \(0.451108\pi\)
\(420\) −0.875236 + 0.0246439i −0.0427071 + 0.00120250i
\(421\) −9.66177 + 9.66177i −0.470886 + 0.470886i −0.902201 0.431315i \(-0.858050\pi\)
0.431315 + 0.902201i \(0.358050\pi\)
\(422\) 35.7186 + 9.57077i 1.73875 + 0.465898i
\(423\) −8.00963 2.14617i −0.389442 0.104351i
\(424\) −2.57481 2.57481i −0.125044 0.125044i
\(425\) 6.71469 3.87673i 0.325710 0.188049i
\(426\) 8.79569 15.2346i 0.426153 0.738118i
\(427\) −0.0215794 + 0.0906712i −0.00104430 + 0.00438789i
\(428\) 2.84799i 0.137663i
\(429\) −6.28871 0.205496i −0.303622 0.00992142i
\(430\) 8.57890i 0.413712i
\(431\) −1.68005 6.27002i −0.0809250 0.302016i 0.913586 0.406645i \(-0.133301\pi\)
−0.994511 + 0.104629i \(0.966635\pi\)
\(432\) 3.80091 + 2.19446i 0.182871 + 0.105581i
\(433\) −16.7283 28.9743i −0.803912 1.39242i −0.917023 0.398834i \(-0.869415\pi\)
0.113111 0.993582i \(-0.463918\pi\)
\(434\) 2.10918 + 7.06930i 0.101244 + 0.339337i
\(435\) −4.84654 1.29863i −0.232374 0.0622644i
\(436\) 1.12111 4.18403i 0.0536913 0.200379i
\(437\) −3.94720 + 3.94720i −0.188820 + 0.188820i
\(438\) 11.9376 + 20.6765i 0.570401 + 0.987963i
\(439\) −9.81984 + 17.0085i −0.468675 + 0.811769i −0.999359 0.0358007i \(-0.988602\pi\)
0.530684 + 0.847570i \(0.321935\pi\)
\(440\) −1.81717 6.78178i −0.0866303 0.323309i
\(441\) 5.85563 3.83557i 0.278840 0.182646i
\(442\) −8.13831 + 13.0892i −0.387100 + 0.622590i
\(443\) 16.3344 0.776072 0.388036 0.921644i \(-0.373154\pi\)
0.388036 + 0.921644i \(0.373154\pi\)
\(444\) −1.27276 + 0.341035i −0.0604024 + 0.0161848i
\(445\) 5.92376 10.2603i 0.280813 0.486383i
\(446\) −10.5201 18.2213i −0.498140 0.862804i
\(447\) 1.26963 + 1.26963i 0.0600514 + 0.0600514i
\(448\) 13.3567 + 12.6251i 0.631045 + 0.596481i
\(449\) −5.76005 + 21.4968i −0.271834 + 1.01450i 0.686100 + 0.727507i \(0.259321\pi\)
−0.957934 + 0.286990i \(0.907345\pi\)
\(450\) 2.84500 + 2.84500i 0.134115 + 0.134115i
\(451\) −4.85043 + 2.80040i −0.228398 + 0.131865i
\(452\) 2.11840 + 1.22306i 0.0996410 + 0.0575277i
\(453\) −5.47974 20.4507i −0.257461 0.960856i
\(454\) 33.1855 1.55747
\(455\) −13.9867 + 3.68012i −0.655709 + 0.172527i
\(456\) −3.99455 −0.187062
\(457\) −2.56831 9.58507i −0.120141 0.448371i 0.879479 0.475937i \(-0.157891\pi\)
−0.999620 + 0.0275663i \(0.991224\pi\)
\(458\) 15.8587 + 9.15602i 0.741028 + 0.427833i
\(459\) 2.48563 1.43508i 0.116019 0.0669838i
\(460\) −0.867794 0.867794i −0.0404611 0.0404611i
\(461\) −9.43198 + 35.2006i −0.439291 + 1.63946i 0.291293 + 0.956634i \(0.405915\pi\)
−0.730584 + 0.682823i \(0.760752\pi\)
\(462\) −4.99748 4.72376i −0.232504 0.219769i
\(463\) −5.57925 5.57925i −0.259290 0.259290i 0.565476 0.824765i \(-0.308693\pi\)
−0.824765 + 0.565476i \(0.808693\pi\)
\(464\) −7.26247 12.5790i −0.337152 0.583964i
\(465\) −1.41918 + 2.45809i −0.0658130 + 0.113991i
\(466\) 38.6226 10.3489i 1.78916 0.479403i
\(467\) −23.2676 −1.07670 −0.538349 0.842722i \(-0.680952\pi\)
−0.538349 + 0.842722i \(0.680952\pi\)
\(468\) −0.753149 0.228416i −0.0348143 0.0105585i
\(469\) −11.3479 6.13250i −0.523997 0.283173i
\(470\) 4.84624 + 18.0864i 0.223540 + 0.834264i
\(471\) 9.75004 16.8876i 0.449258 0.778138i
\(472\) 1.32945 + 2.30267i 0.0611928 + 0.105989i
\(473\) 4.68812 4.68812i 0.215560 0.215560i
\(474\) −1.36085 + 5.07876i −0.0625059 + 0.233275i
\(475\) −3.92783 1.05246i −0.180221 0.0482902i
\(476\) −1.58838 + 0.473904i −0.0728033 + 0.0217214i
\(477\) −0.686094 1.18835i −0.0314141 0.0544108i
\(478\) 11.7248 + 6.76932i 0.536280 + 0.309622i
\(479\) 9.64340 + 35.9897i 0.440618 + 1.64441i 0.727252 + 0.686370i \(0.240797\pi\)
−0.286634 + 0.958040i \(0.592536\pi\)
\(480\) 1.86400i 0.0850795i
\(481\) −19.1943 + 10.2611i −0.875187 + 0.467864i
\(482\) 33.1652i 1.51063i
\(483\) 9.54484 + 2.27164i 0.434305 + 0.103363i
\(484\) 0.868172 1.50372i 0.0394624 0.0683508i
\(485\) 12.5228 7.23004i 0.568631 0.328299i
\(486\) 1.05316 + 1.05316i 0.0477722 + 0.0477722i
\(487\) −40.0906 10.7422i −1.81668 0.486777i −0.820308 0.571922i \(-0.806198\pi\)
−0.996369 + 0.0851447i \(0.972865\pi\)
\(488\) −0.0902975 0.0241951i −0.00408757 0.00109526i
\(489\) −10.6663 + 10.6663i −0.482349 + 0.482349i
\(490\) −14.1119 7.12050i −0.637511 0.321672i
\(491\) 7.22040 + 4.16870i 0.325852 + 0.188131i 0.653998 0.756496i \(-0.273090\pi\)
−0.328146 + 0.944627i \(0.606424\pi\)
\(492\) −0.676688 + 0.181318i −0.0305075 + 0.00817445i
\(493\) −9.49867 −0.427799
\(494\) 7.87223 1.83604i 0.354189 0.0826074i
\(495\) 2.64577i 0.118919i
\(496\) −7.93666 + 2.12662i −0.356366 + 0.0954881i
\(497\) 26.6122 16.3802i 1.19372 0.734751i
\(498\) −19.7761 + 11.4177i −0.886188 + 0.511641i
\(499\) −6.61818 + 6.61818i −0.296270 + 0.296270i −0.839551 0.543281i \(-0.817182\pi\)
0.543281 + 0.839551i \(0.317182\pi\)
\(500\) 0.659651 2.46185i 0.0295005 0.110097i
\(501\) −2.08221 + 7.77093i −0.0930265 + 0.347180i
\(502\) 32.1708 32.1708i 1.43585 1.43585i
\(503\) −6.07077 + 3.50496i −0.270682 + 0.156278i −0.629198 0.777245i \(-0.716616\pi\)
0.358515 + 0.933524i \(0.383283\pi\)
\(504\) 3.68022 + 5.97912i 0.163930 + 0.266331i
\(505\) −19.7547 + 5.29324i −0.879071 + 0.235546i
\(506\) 9.63859i 0.428487i
\(507\) −12.9723 0.848694i −0.576119 0.0376918i
\(508\) −0.925111 −0.0410452
\(509\) 6.23491 1.67064i 0.276357 0.0740498i −0.117978 0.993016i \(-0.537641\pi\)
0.394336 + 0.918966i \(0.370975\pi\)
\(510\) −5.61276 3.24053i −0.248537 0.143493i
\(511\) 1.19371 + 42.3951i 0.0528067 + 1.87545i
\(512\) −12.6554 + 12.6554i −0.559297 + 0.559297i
\(513\) −1.45400 0.389597i −0.0641956 0.0172011i
\(514\) −18.8146 5.04136i −0.829878 0.222365i
\(515\) −9.57741 9.57741i −0.422031 0.422031i
\(516\) 0.718190 0.414647i 0.0316166 0.0182538i
\(517\) −7.23536 + 12.5320i −0.318211 + 0.551157i
\(518\) −23.1408 5.50744i −1.01675 0.241983i
\(519\) 21.8050i 0.957135i
\(520\) −3.29483 14.1270i −0.144488 0.619508i
\(521\) 13.2340i 0.579793i 0.957058 + 0.289896i \(0.0936208\pi\)
−0.957058 + 0.289896i \(0.906379\pi\)
\(522\) −1.27574 4.76112i −0.0558375 0.208389i
\(523\) 35.3268 + 20.3959i 1.54473 + 0.891852i 0.998530 + 0.0541990i \(0.0172605\pi\)
0.546203 + 0.837653i \(0.316073\pi\)
\(524\) 0.793960 + 1.37518i 0.0346843 + 0.0600749i
\(525\) 2.04342 + 6.84890i 0.0891821 + 0.298911i
\(526\) −13.2282 3.54450i −0.576779 0.154547i
\(527\) −1.39072 + 5.19023i −0.0605806 + 0.226090i
\(528\) 5.41581 5.41581i 0.235693 0.235693i
\(529\) −4.62397 8.00896i −0.201042 0.348216i
\(530\) −1.54926 + 2.68339i −0.0672954 + 0.116559i
\(531\) 0.259328 + 0.967827i 0.0112539 + 0.0420001i
\(532\) 0.764799 + 0.413304i 0.0331583 + 0.0179190i
\(533\) −10.2051 + 5.45550i −0.442030 + 0.236304i
\(534\) 11.6387 0.503656
\(535\) 19.1072 5.11975i 0.826075 0.221346i
\(536\) 6.46878 11.2042i 0.279409 0.483950i
\(537\) −4.85944 8.41680i −0.209700 0.363212i
\(538\) 12.2404 + 12.2404i 0.527721 + 0.527721i
\(539\) −3.82060 11.6029i −0.164565 0.499772i
\(540\) 0.0856533 0.319663i 0.00368593 0.0137561i
\(541\) −14.4412 14.4412i −0.620878 0.620878i 0.324878 0.945756i \(-0.394677\pi\)
−0.945756 + 0.324878i \(0.894677\pi\)
\(542\) −27.0619 + 15.6242i −1.16241 + 0.671117i
\(543\) −11.7812 6.80189i −0.505580 0.291897i
\(544\) −0.913306 3.40851i −0.0391577 0.146138i
\(545\) 30.0861 1.28875
\(546\) −10.0010 10.0917i −0.428004 0.431887i
\(547\) 3.47188 0.148447 0.0742234 0.997242i \(-0.476352\pi\)
0.0742234 + 0.997242i \(0.476352\pi\)
\(548\) −1.17629 4.38996i −0.0502484 0.187530i
\(549\) −0.0305081 0.0176138i −0.00130205 0.000751741i
\(550\) 6.08065 3.51066i 0.259280 0.149695i
\(551\) 3.52259 + 3.52259i 0.150067 + 0.150067i
\(552\) −2.54699 + 9.50550i −0.108407 + 0.404581i
\(553\) −6.41599 + 6.78777i −0.272836 + 0.288645i
\(554\) −16.6290 16.6290i −0.706500 0.706500i
\(555\) −4.57601 7.92588i −0.194241 0.336435i
\(556\) −2.04778 + 3.54686i −0.0868452 + 0.150420i
\(557\) −42.2673 + 11.3255i −1.79092 + 0.479876i −0.992503 0.122224i \(-0.960997\pi\)
−0.798420 + 0.602100i \(0.794331\pi\)
\(558\) −2.78833 −0.118040
\(559\) 9.99727 9.36459i 0.422840 0.396080i
\(560\) 8.36993 15.4881i 0.353694 0.654494i
\(561\) −1.29635 4.83806i −0.0547321 0.204263i
\(562\) 6.49215 11.2447i 0.273855 0.474330i
\(563\) 2.66750 + 4.62024i 0.112422 + 0.194720i 0.916746 0.399470i \(-0.130806\pi\)
−0.804325 + 0.594190i \(0.797473\pi\)
\(564\) −1.27988 + 1.27988i −0.0538928 + 0.0538928i
\(565\) −4.39731 + 16.4110i −0.184996 + 0.690416i
\(566\) −7.66755 2.05451i −0.322291 0.0863577i
\(567\) 0.756429 + 2.53531i 0.0317670 + 0.106473i
\(568\) 15.6714 + 27.1437i 0.657559 + 1.13893i
\(569\) 15.8463 + 9.14887i 0.664312 + 0.383541i 0.793918 0.608025i \(-0.208038\pi\)
−0.129606 + 0.991566i \(0.541371\pi\)
\(570\) 0.879743 + 3.28325i 0.0368484 + 0.137520i
\(571\) 33.5009i 1.40197i −0.713176 0.700985i \(-0.752744\pi\)
0.713176 0.700985i \(-0.247256\pi\)
\(572\) −0.725200 + 1.16637i −0.0303221 + 0.0487684i
\(573\) 0.846233i 0.0353519i
\(574\) −12.3033 2.92814i −0.513530 0.122218i
\(575\) −5.00891 + 8.67568i −0.208886 + 0.361801i
\(576\) −6.01601 + 3.47334i −0.250667 + 0.144723i
\(577\) 8.55149 + 8.55149i 0.356003 + 0.356003i 0.862337 0.506334i \(-0.169000\pi\)
−0.506334 + 0.862337i \(0.669000\pi\)
\(578\) 12.6056 + 3.37767i 0.524325 + 0.140493i
\(579\) 1.53179 + 0.410441i 0.0636589 + 0.0170573i
\(580\) −0.774444 + 0.774444i −0.0321570 + 0.0321570i
\(581\) −40.5489 + 1.14173i −1.68225 + 0.0473668i
\(582\) 12.3021 + 7.10260i 0.509937 + 0.294412i
\(583\) −2.31302 + 0.619771i −0.0957953 + 0.0256683i
\(584\) −42.5389 −1.76027
\(585\) 0.178531 5.46350i 0.00738133 0.225888i
\(586\) 32.1870i 1.32963i
\(587\) −42.3546 + 11.3489i −1.74816 + 0.468419i −0.984232 0.176881i \(-0.943399\pi\)
−0.763929 + 0.645300i \(0.776732\pi\)
\(588\) −0.0859774 1.52555i −0.00354565 0.0629126i
\(589\) 2.44055 1.40905i 0.100561 0.0580589i
\(590\) 1.59985 1.59985i 0.0658647 0.0658647i
\(591\) −1.35016 + 5.03888i −0.0555383 + 0.207272i
\(592\) 6.85708 25.5910i 0.281824 1.05178i
\(593\) 29.3548 29.3548i 1.20546 1.20546i 0.232973 0.972483i \(-0.425155\pi\)
0.972483 0.232973i \(-0.0748454\pi\)
\(594\) 2.25092 1.29957i 0.0923564 0.0533220i
\(595\) −6.03482 9.80453i −0.247403 0.401947i
\(596\) 0.378575 0.101439i 0.0155070 0.00415510i
\(597\) 1.35634i 0.0555113i
\(598\) 0.650389 19.9036i 0.0265964 0.813919i
\(599\) −17.3994 −0.710920 −0.355460 0.934691i \(-0.615676\pi\)
−0.355460 + 0.934691i \(0.615676\pi\)
\(600\) −6.92438 + 1.85538i −0.282686 + 0.0757456i
\(601\) 3.87707 + 2.23843i 0.158149 + 0.0913074i 0.576986 0.816754i \(-0.304229\pi\)
−0.418837 + 0.908062i \(0.637562\pi\)
\(602\) 14.9650 0.421368i 0.609929 0.0171737i
\(603\) 3.44738 3.44738i 0.140388 0.140388i
\(604\) −4.46400 1.19612i −0.181638 0.0486696i
\(605\) 11.6491 + 3.12138i 0.473605 + 0.126902i
\(606\) −14.2065 14.2065i −0.577100 0.577100i
\(607\) 12.0061 6.93170i 0.487311 0.281349i −0.236147 0.971717i \(-0.575885\pi\)
0.723458 + 0.690368i \(0.242551\pi\)
\(608\) −0.925346 + 1.60275i −0.0375277 + 0.0649999i
\(609\) 2.02728 8.51809i 0.0821494 0.345170i
\(610\) 0.0795470i 0.00322077i
\(611\) −15.7866 + 25.3903i −0.638657 + 1.02718i
\(612\) 0.626502i 0.0253249i
\(613\) 3.20626 + 11.9659i 0.129500 + 0.483299i 0.999960 0.00893943i \(-0.00284555\pi\)
−0.870461 + 0.492238i \(0.836179\pi\)
\(614\) −6.35722 3.67034i −0.256557 0.148123i
\(615\) −2.43293 4.21396i −0.0981052 0.169923i
\(616\) 11.7409 3.50297i 0.473053 0.141139i
\(617\) 4.24013 + 1.13614i 0.170701 + 0.0457392i 0.343157 0.939278i \(-0.388504\pi\)
−0.172456 + 0.985017i \(0.555170\pi\)
\(618\) 3.44379 12.8524i 0.138529 0.516999i
\(619\) −3.42700 + 3.42700i −0.137743 + 0.137743i −0.772616 0.634873i \(-0.781052\pi\)
0.634873 + 0.772616i \(0.281052\pi\)
\(620\) 0.309781 + 0.536556i 0.0124411 + 0.0215486i
\(621\) −1.85419 + 3.21155i −0.0744060 + 0.128875i
\(622\) −6.38114 23.8147i −0.255860 0.954883i
\(623\) 18.1889 + 9.82944i 0.728724 + 0.393808i
\(624\) 11.5491 10.8182i 0.462332 0.433073i
\(625\) 4.19541 0.167816
\(626\) −30.2402 + 8.10283i −1.20864 + 0.323854i
\(627\) −1.31344 + 2.27495i −0.0524539 + 0.0908528i
\(628\) −2.12825 3.68624i −0.0849265 0.147097i
\(629\) −12.2511 12.2511i −0.488485 0.488485i
\(630\) 4.10391 4.34171i 0.163504 0.172978i
\(631\) 7.50951 28.0259i 0.298949 1.11569i −0.639081 0.769139i \(-0.720685\pi\)
0.938030 0.346554i \(-0.112648\pi\)
\(632\) −6.62427 6.62427i −0.263499 0.263499i
\(633\) −21.5017 + 12.4140i −0.854616 + 0.493413i
\(634\) 18.8111 + 10.8606i 0.747086 + 0.431330i
\(635\) −1.66305 6.20658i −0.0659961 0.246301i
\(636\) −0.299523 −0.0118769
\(637\) −7.10658 24.2177i −0.281573 0.959540i
\(638\) −8.60175 −0.340546
\(639\) 3.05695 + 11.4087i 0.120931 + 0.451320i
\(640\) 16.8132 + 9.70709i 0.664599 + 0.383707i
\(641\) 30.8187 17.7932i 1.21726 0.702788i 0.252932 0.967484i \(-0.418605\pi\)
0.964332 + 0.264696i \(0.0852716\pi\)
\(642\) 13.7409 + 13.7409i 0.542309 + 0.542309i
\(643\) −1.54772 + 5.77618i −0.0610362 + 0.227790i −0.989706 0.143118i \(-0.954287\pi\)
0.928669 + 0.370909i \(0.120954\pi\)
\(644\) 1.47116 1.55640i 0.0579716 0.0613308i
\(645\) 4.07294 + 4.07294i 0.160372 + 0.160372i
\(646\) 3.21739 + 5.57269i 0.126587 + 0.219255i
\(647\) 8.50730 14.7351i 0.334456 0.579296i −0.648924 0.760853i \(-0.724781\pi\)
0.983380 + 0.181558i \(0.0581140\pi\)
\(648\) −2.56325 + 0.686821i −0.100694 + 0.0269809i
\(649\) 1.74854 0.0686361
\(650\) 12.7934 6.83919i 0.501798 0.268255i
\(651\) −4.35760 2.35488i −0.170788 0.0922951i
\(652\) 0.852204 + 3.18047i 0.0333749 + 0.124557i
\(653\) 4.76337 8.25040i 0.186405 0.322863i −0.757644 0.652668i \(-0.773650\pi\)
0.944049 + 0.329805i \(0.106983\pi\)
\(654\) 14.7779 + 25.5961i 0.577862 + 1.00089i
\(655\) −7.79881 + 7.79881i −0.304725 + 0.304725i
\(656\) 3.64571 13.6060i 0.142341 0.531223i
\(657\) −15.4840 4.14892i −0.604088 0.161865i
\(658\) −31.3119 + 9.34211i −1.22066 + 0.364193i
\(659\) −14.3837 24.9132i −0.560308 0.970482i −0.997469 0.0710991i \(-0.977349\pi\)
0.437161 0.899383i \(-0.355984\pi\)
\(660\) −0.500150 0.288762i −0.0194683 0.0112400i
\(661\) −5.58403 20.8399i −0.217193 0.810577i −0.985383 0.170354i \(-0.945509\pi\)
0.768189 0.640223i \(-0.221158\pi\)
\(662\) 35.0561i 1.36250i
\(663\) −2.35050 10.0780i −0.0912859 0.391398i
\(664\) 40.6864i 1.57894i
\(665\) −1.39800 + 5.87403i −0.0542121 + 0.227785i
\(666\) 4.49535 7.78618i 0.174191 0.301708i
\(667\) 10.6285 6.13636i 0.411537 0.237601i
\(668\) 1.24174 + 1.24174i 0.0480444 + 0.0480444i
\(669\) 13.6453 + 3.65626i 0.527560 + 0.141359i
\(670\) −10.6338 2.84932i −0.410819 0.110079i
\(671\) −0.0434701 + 0.0434701i −0.00167814 + 0.00167814i
\(672\) 3.25156 0.0915535i 0.125431 0.00353175i
\(673\) 24.5175 + 14.1552i 0.945082 + 0.545643i 0.891550 0.452923i \(-0.149619\pi\)
0.0535322 + 0.998566i \(0.482952\pi\)
\(674\) −21.0048 + 5.62821i −0.809074 + 0.216791i
\(675\) −2.70140 −0.103977
\(676\) −1.57624 + 2.35961i −0.0606245 + 0.0907544i
\(677\) 19.7036i 0.757270i 0.925546 + 0.378635i \(0.123606\pi\)
−0.925546 + 0.378635i \(0.876394\pi\)
\(678\) −16.1217 + 4.31981i −0.619152 + 0.165901i
\(679\) 13.2271 + 21.4896i 0.507611 + 0.824696i
\(680\) 10.0004 5.77371i 0.383496 0.221412i
\(681\) −15.7552 + 15.7552i −0.603742 + 0.603742i
\(682\) −1.25940 + 4.70013i −0.0482248 + 0.179977i
\(683\) 6.28752 23.4653i 0.240585 0.897876i −0.734966 0.678104i \(-0.762802\pi\)
0.975551 0.219772i \(-0.0705313\pi\)
\(684\) −0.232339 + 0.232339i −0.00888369 + 0.00888369i
\(685\) 27.3377 15.7834i 1.04452 0.603053i
\(686\) 11.7279 24.9665i 0.447772 0.953227i
\(687\) −11.8761 + 3.18218i −0.453100 + 0.121408i
\(688\) 16.6744i 0.635704i
\(689\) −4.81818 + 1.12374i −0.183558 + 0.0428113i
\(690\) 8.37382 0.318786
\(691\) −20.9371 + 5.61007i −0.796483 + 0.213417i −0.634039 0.773301i \(-0.718604\pi\)
−0.162444 + 0.986718i \(0.551938\pi\)
\(692\) 4.12196 + 2.37982i 0.156694 + 0.0904671i
\(693\) 4.61528 0.129952i 0.175320 0.00493646i
\(694\) 17.8736 17.8736i 0.678474 0.678474i
\(695\) −27.4771 7.36248i −1.04227 0.279275i
\(696\) 8.48298 + 2.27301i 0.321546 + 0.0861581i
\(697\) −6.51357 6.51357i −0.246719 0.246719i
\(698\) 3.63127 2.09652i 0.137446 0.0793543i
\(699\) −13.4233 + 23.2498i −0.507715 + 0.879389i
\(700\) 1.51772 + 0.361212i 0.0573643 + 0.0136525i
\(701\) 33.2903i 1.25736i −0.777665 0.628678i \(-0.783596\pi\)
0.777665 0.628678i \(-0.216404\pi\)
\(702\) 4.73583 2.53172i 0.178742 0.0955535i
\(703\) 9.08668i 0.342711i
\(704\) 3.13758 + 11.7096i 0.118252 + 0.441323i
\(705\) −10.8876 6.28594i −0.410050 0.236742i
\(706\) 23.6036 + 40.8827i 0.888334 + 1.53864i
\(707\) −10.2038 34.2000i −0.383754 1.28622i
\(708\) 0.211259 + 0.0566065i 0.00793958 + 0.00212740i
\(709\) 0.389951 1.45532i 0.0146449 0.0546556i −0.958217 0.286043i \(-0.907660\pi\)
0.972862 + 0.231388i \(0.0743266\pi\)
\(710\) 18.8589 18.8589i 0.707762 0.707762i
\(711\) −1.76513 3.05729i −0.0661974 0.114657i
\(712\) −10.3684 + 17.9587i −0.388574 + 0.673030i
\(713\) −1.79687 6.70601i −0.0672933 0.251142i
\(714\) 5.37709 9.95005i 0.201232 0.372371i
\(715\) −9.12887 2.76862i −0.341400 0.103540i
\(716\) −2.12145 −0.0792823
\(717\) −8.78033 + 2.35268i −0.327907 + 0.0878625i
\(718\) −13.4985 + 23.3801i −0.503761 + 0.872539i
\(719\) −16.0502 27.7997i −0.598570 1.03675i −0.993032 0.117841i \(-0.962403\pi\)
0.394463 0.918912i \(-0.370931\pi\)
\(720\) 4.70515 + 4.70515i 0.175351 + 0.175351i
\(721\) 16.2364 17.1772i 0.604675 0.639713i
\(722\) −6.45070 + 24.0744i −0.240070 + 0.895955i
\(723\) 15.7456 + 15.7456i 0.585586 + 0.585586i
\(724\) −2.57162 + 1.48473i −0.0955735 + 0.0551794i
\(725\) 7.74243 + 4.47009i 0.287546 + 0.166015i
\(726\) 3.06636 + 11.4438i 0.113803 + 0.424720i
\(727\) 33.7702 1.25247 0.626233 0.779636i \(-0.284596\pi\)
0.626233 + 0.779636i \(0.284596\pi\)
\(728\) 24.4812 6.44137i 0.907334 0.238733i
\(729\) −1.00000 −0.0370370
\(730\) 9.36860 + 34.9641i 0.346748 + 1.29408i
\(731\) 9.44341 + 5.45215i 0.349277 + 0.201655i
\(732\) −0.00665935 + 0.00384478i −0.000246137 + 0.000142107i
\(733\) 5.09323 + 5.09323i 0.188123 + 0.188123i 0.794884 0.606761i \(-0.207532\pi\)
−0.606761 + 0.794884i \(0.707532\pi\)
\(734\) 1.56438 5.83834i 0.0577423 0.215497i
\(735\) 10.0804 3.31926i 0.371820 0.122433i
\(736\) 3.22391 + 3.22391i 0.118835 + 0.118835i
\(737\) −4.25399 7.36812i −0.156698 0.271408i
\(738\) 2.39005 4.13968i 0.0879788 0.152384i
\(739\) 22.0821 5.91687i 0.812302 0.217656i 0.171324 0.985215i \(-0.445196\pi\)
0.640978 + 0.767559i \(0.278529\pi\)
\(740\) −1.99772 −0.0734375
\(741\) −2.86576 + 4.60913i −0.105276 + 0.169321i
\(742\) −4.75699 2.57072i −0.174635 0.0943741i
\(743\) −2.69085 10.0424i −0.0987179 0.368420i 0.898839 0.438279i \(-0.144412\pi\)
−0.997557 + 0.0698588i \(0.977745\pi\)
\(744\) 2.48401 4.30244i 0.0910683 0.157735i
\(745\) 1.36111 + 2.35751i 0.0498672 + 0.0863725i
\(746\) −10.6886 + 10.6886i −0.391336 + 0.391336i
\(747\) 3.96824 14.8097i 0.145190 0.541858i
\(748\) −1.05606 0.282970i −0.0386133 0.0103464i
\(749\) 9.86937 + 33.0791i 0.360619 + 1.20868i
\(750\) 8.69520 + 15.0605i 0.317504 + 0.549933i
\(751\) −35.7335 20.6307i −1.30393 0.752827i −0.322858 0.946448i \(-0.604643\pi\)
−0.981076 + 0.193621i \(0.937977\pi\)
\(752\) −9.41938 35.1536i −0.343489 1.28192i
\(753\) 30.5470i 1.11319i
\(754\) −17.7625 0.580426i −0.646874 0.0211379i
\(755\) 32.0993i 1.16821i
\(756\) 0.561826 + 0.133713i 0.0204334 + 0.00486308i
\(757\) 9.58077 16.5944i 0.348219 0.603133i −0.637714 0.770273i \(-0.720120\pi\)
0.985933 + 0.167140i \(0.0534532\pi\)
\(758\) −5.18969 + 2.99627i −0.188498 + 0.108829i
\(759\) 4.57604 + 4.57604i 0.166100 + 0.166100i
\(760\) −5.84982 1.56745i −0.212195 0.0568576i
\(761\) 16.3307 + 4.37578i 0.591986 + 0.158622i 0.542361 0.840146i \(-0.317531\pi\)
0.0496251 + 0.998768i \(0.484197\pi\)
\(762\) 4.46345 4.46345i 0.161694 0.161694i
\(763\) 1.47773 + 52.4821i 0.0534974 + 1.89998i
\(764\) −0.159969 0.0923584i −0.00578749 0.00334141i
\(765\) 4.20321 1.12625i 0.151967 0.0407195i
\(766\) 1.66818 0.0602739
\(767\) 3.61072 + 0.117987i 0.130376 + 0.00426027i
\(768\) 5.17862i 0.186867i
\(769\) −47.1631 + 12.6373i −1.70074 + 0.455713i −0.973127 0.230271i \(-0.926039\pi\)
−0.727617 + 0.685984i \(0.759372\pi\)
\(770\) −5.46497 8.87872i −0.196944 0.319967i
\(771\) 11.3259 6.53903i 0.407894 0.235498i
\(772\) 0.244769 0.244769i 0.00880943 0.00880943i
\(773\) 2.27204 8.47936i 0.0817195 0.304981i −0.912953 0.408064i