Properties

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

Related objects

Downloads

Learn more

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.c.76.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.385482 + 1.43864i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.189037 + 0.109141i) q^{4} +(1.07205 + 1.07205i) q^{5} +(-0.385482 + 1.43864i) q^{6} +(-0.612570 - 2.57386i) q^{7} +(1.87643 + 1.87643i) q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(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} +(-0.612570 - 2.57386i) 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} +(0.756429 - 2.53531i) 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} +(0.396712 + 0.419699i) 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} +(2.10261 - 3.41602i) 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} +(3.93899 + 0.110910i) 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} +(-6.24951 + 3.15334i) 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} +(3.68022 - 5.97912i) 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} +(1.92274 - 1.81743i) 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} +(5.72495 + 1.70808i) 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} +(0.133713 + 0.561826i) 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} +(4.25878 + 8.53597i) 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} +(-6.94560 - 7.77524i) q^{98} +(1.23397 + 1.23397i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} + O(q^{10}) \) \( 32q - 2q^{2} + 6q^{4} - 2q^{5} + 2q^{6} - 2q^{7} + 2q^{8} + 16q^{9} - 2q^{10} - 4q^{11} - 32q^{12} - 6q^{13} + 34q^{14} + 4q^{15} + 14q^{16} + 8q^{17} + 2q^{18} - 2q^{19} - 44q^{20} + 2q^{21} - 4q^{22} - 18q^{23} - 4q^{24} + 28q^{26} - 18q^{28} - 18q^{29} + 14q^{31} - 8q^{32} - 4q^{33} + 66q^{34} - 20q^{35} + 6q^{36} - 24q^{37} - 24q^{38} + 8q^{39} + 16q^{42} - 6q^{43} - 20q^{44} - 4q^{45} - 58q^{46} + 28q^{47} + 60q^{48} + 10q^{49} + 70q^{50} - 28q^{52} - 80q^{53} + 4q^{54} - 60q^{55} - 120q^{56} + 16q^{57} - 4q^{58} + 42q^{59} - 58q^{60} - 36q^{61} - 52q^{62} + 2q^{63} + 14q^{65} + 26q^{67} + 72q^{68} - 2q^{69} + 68q^{70} - 4q^{71} + 4q^{72} - 12q^{73} - 18q^{74} - 16q^{75} + 48q^{76} - 28q^{77} - 14q^{78} - 4q^{79} + 98q^{80} - 16q^{81} - 20q^{82} + 36q^{83} + 32q^{84} - 10q^{85} - 40q^{86} + 96q^{88} + 54q^{89} - 4q^{90} - 54q^{91} - 4q^{92} + 2q^{93} + 60q^{95} - 22q^{96} + 40q^{97} + 4q^{99} + O(q^{100}) \)

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 0.904952 0.425515i \(-0.139907\pi\)
−0.425515 + 0.904952i \(0.639907\pi\)
\(6\) −0.385482 + 1.43864i −0.157373 + 0.587322i
\(7\) −0.612570 2.57386i −0.231530 0.972828i
\(8\) 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 0.637847 0.770164i \(-0.279825\pi\)
−0.985904 + 0.167310i \(0.946492\pi\)
\(18\) −1.05316 + 1.05316i −0.248232 + 0.248232i
\(19\) −0.389597 + 1.45400i −0.0893798 + 0.333570i −0.996108 0.0881466i \(-0.971906\pi\)
0.906728 + 0.421717i \(0.138572\pi\)
\(20\) −0.319663 0.0856533i −0.0714787 0.0191527i
\(21\) 0.756429 2.53531i 0.165066 0.553251i
\(22\) 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
\(28\) 0.396712 + 0.419699i 0.0749714 + 0.0793157i
\(29\) −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 0.578161 0.815922i \(-0.303770\pi\)
−0.815922 + 0.578161i \(0.803770\pi\)
\(32\) −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
\(35\) 2.10261 3.41602i 0.355406 0.577413i
\(36\) −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 −0.00848433 0.999964i \(-0.502701\pi\)
0.492634 + 0.870236i \(0.336034\pi\)
\(42\) 3.93899 + 0.110910i 0.607800 + 0.0171137i
\(43\) 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 −0.135504 0.990777i \(-0.543265\pi\)
0.990777 + 0.135504i \(0.0432652\pi\)
\(48\) −3.80091 + 2.19446i −0.548614 + 0.316743i
\(49\) −6.24951 + 3.15334i −0.892788 + 0.450477i
\(50\) 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
\(56\) 3.68022 5.97912i 0.491791 0.798993i
\(57\) −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 0.195268 0.980750i \(-0.437442\pi\)
−0.321268 + 0.946988i \(0.604109\pi\)
\(60\) −0.234009 0.234009i −0.0302105 0.0302105i
\(61\) 0.0305081 0.0176138i 0.00390616 0.00225522i −0.498046 0.867151i \(-0.665949\pi\)
0.501952 + 0.864896i \(0.332615\pi\)
\(62\) 1.39417 2.41477i 0.177059 0.306676i
\(63\) 1.92274 1.81743i 0.242243 0.228975i
\(64\) 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
\(70\) 5.72495 + 1.70808i 0.684262 + 0.204154i
\(71\) 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 \(-0.362587\pi\)
0.908258 0.418410i \(-0.137413\pi\)
\(74\) −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 \(0.0683025\pi\)
0.212936 + 0.977066i \(0.431698\pi\)
\(84\) 0.133713 + 0.561826i 0.0145893 + 0.0613002i
\(85\) 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 \(-0.947408\pi\)
0.771995 0.635628i \(-0.219259\pi\)
\(90\) −2.25808 −0.238023
\(91\) 4.25878 + 8.53597i 0.446441 + 0.894813i
\(92\) 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 \(-0.755778\pi\)
0.970465 0.241244i \(-0.0775554\pi\)
\(98\) −6.94560 7.77524i −0.701612 0.785418i
\(99\) 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 \(0.400855\pi\)
−0.977585 + 0.210540i \(0.932478\pi\)
\(102\) 4.12913 1.10640i 0.408844 0.109550i
\(103\) −8.93370 −0.880264 −0.440132 0.897933i \(-0.645068\pi\)
−0.440132 + 0.897933i \(0.645068\pi\)
\(104\) −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
\(112\) 11.1273 + 3.31990i 1.05143 + 0.313701i
\(113\) −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
\(119\) −5.51858 + 5.21632i −0.505887 + 0.478179i
\(120\) −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
\(126\) 3.35581 + 2.06555i 0.298960 + 0.184014i
\(127\) 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 \(0.102942\pi\)
−0.948160 + 0.317794i \(0.897058\pi\)
\(132\) −0.367944 + 0.0985903i −0.0320254 + 0.00858119i
\(133\) 3.98104 + 0.112094i 0.345200 + 0.00971974i
\(134\) 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 −0.991946 0.126665i \(-0.959573\pi\)
−0.386278 + 0.922382i \(0.626239\pi\)
\(140\) −0.0246439 + 0.875236i −0.00208279 + 0.0739709i
\(141\) 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
\(147\) −6.98891 0.393883i −0.576436 0.0324869i
\(148\) 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
\(154\) 4.99748 4.72376i 0.402708 0.380651i
\(155\) 2.83836i 0.227983i
\(156\) 0.766455 0.178760i 0.0613655 0.0143123i
\(157\) 19.5001i 1.55628i −0.628093 0.778138i \(-0.716164\pi\)
0.628093 0.778138i \(-0.283836\pi\)
\(158\) −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
\(161\) −2.80512 + 9.40190i −0.221075 + 0.740973i
\(162\) −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 \(0.0174219\pi\)
−0.837376 + 0.546627i \(0.815911\pi\)
\(168\) 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 \(0.144368\pi\)
−0.0699960 + 0.997547i \(0.522299\pi\)
\(174\) −3.48538 3.48538i −0.264226 0.264226i
\(175\) −6.95303 + 1.65480i −0.525600 + 0.125091i
\(176\) −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 \(-0.668722\pi\)
−0.505580 + 0.862779i \(0.668722\pi\)
\(182\) −10.6385 + 9.41731i −0.788579 + 0.698058i
\(183\) 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
\(189\) 2.57386 0.612570i 0.187221 0.0445579i
\(190\) −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 0.889061 0.457788i \(-0.151358\pi\)
−0.840987 + 0.541055i \(0.818025\pi\)
\(200\) 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
\(203\) 8.39052 + 2.50337i 0.588899 + 0.175702i
\(204\) 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
\(210\) 4.10391 + 4.34171i 0.283197 + 0.299607i
\(211\) 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
\(217\) −2.59635 + 4.21819i −0.176252 + 0.286349i
\(218\) −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 0.228844 0.973463i \(-0.426506\pi\)
0.684916 + 0.728622i \(0.259839\pi\)
\(224\) −0.0915535 + 3.25156i −0.00611717 + 0.217254i
\(225\) 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 \(0.348238\pi\)
−0.841673 + 0.539988i \(0.818429\pi\)
\(228\) 0.0850419 0.317381i 0.00563204 0.0210190i
\(229\) −8.69387 + 8.69387i −0.574507 + 0.574507i −0.933385 0.358877i \(-0.883160\pi\)
0.358877 + 0.933385i \(0.383160\pi\)
\(230\) 7.25194 4.18691i 0.478179 0.276077i
\(231\) 0.129952 4.61528i 0.00855019 0.303663i
\(232\) −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
\(238\) −9.63172 5.92845i −0.624332 0.384284i
\(239\) 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 0.873120 0.487506i \(-0.162093\pi\)
0.512391 + 0.858752i \(0.328760\pi\)
\(242\) −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
\(245\) −10.0804 3.31926i −0.644011 0.212060i
\(246\) 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 \(0.247729\pi\)
0.251921 + 0.967748i \(0.418938\pi\)
\(252\) −0.165114 + 0.553412i −0.0104012 + 0.0348617i
\(253\) −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 −0.586760 0.809761i \(-0.699597\pi\)
0.994654 + 0.103268i \(0.0329300\pi\)
\(258\) 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
\(266\) 1.37336 + 5.77050i 0.0842061 + 0.353812i
\(267\) 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 −0.774412 0.632681i \(-0.781954\pi\)
0.160712 + 0.987001i \(0.448621\pi\)
\(270\) −1.95556 1.12904i −0.119011 0.0687112i
\(271\) −5.43020 20.2658i −0.329861 1.23106i −0.909334 0.416067i \(-0.863408\pi\)
0.579473 0.814991i \(-0.303258\pi\)
\(272\) 12.5969 0.763798
\(273\) −0.579778 + 9.52176i −0.0350897 + 0.576283i
\(274\) −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
\(280\) 10.3553 2.46453i 0.618849 0.147284i
\(281\) −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 −0.775886 0.630873i \(-0.782697\pi\)
0.934295 + 0.356500i \(0.116030\pi\)
\(284\) −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 −0.409018 0.912526i \(-0.634129\pi\)
−0.810483 + 0.585762i \(0.800795\pi\)
\(294\) −2.12745 10.2064i −0.124075 0.595247i
\(295\) −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
\(301\) −6.90479 7.30489i −0.397985 0.421047i
\(302\) −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 −0.600626 0.799530i \(-0.705082\pi\)
0.799530 + 0.600626i \(0.205082\pi\)
\(308\) 0.858277 + 0.528281i 0.0489049 + 0.0301016i
\(309\) −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 \(-0.344494\pi\)
0.469335 + 0.883020i \(0.344494\pi\)
\(312\) −4.51081 8.43791i −0.255374 0.477703i
\(313\) 21.0200i 1.18812i −0.804421 0.594060i \(-0.797524\pi\)
0.804421 0.594060i \(-0.202476\pi\)
\(314\) 28.0536 7.51694i 1.58316 0.424205i
\(315\) 4.00967 + 0.112899i 0.225919 + 0.00636117i
\(316\) 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
\(322\) −14.6073 0.411294i −0.814031 0.0229205i
\(323\) 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
\(329\) −18.6835 11.4999i −1.03005 0.634012i
\(330\) −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
\(336\) 7.97656 + 8.43876i 0.435157 + 0.460372i
\(337\) 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
\(343\) 11.9445 + 14.1537i 0.644944 + 0.764230i
\(344\) 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 0.982682 0.185302i \(-0.0593263\pi\)
−0.943678 + 0.330865i \(0.892660\pi\)
\(350\) −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 −0.953775 0.300521i \(-0.902839\pi\)
−0.675733 + 0.737146i \(0.736173\pi\)
\(354\) 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
\(357\) −7.38739 + 1.75817i −0.390982 + 0.0930525i
\(358\) −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
\(364\) −1.73669 1.14881i −0.0910272 0.0602140i
\(365\) 24.3036 1.27211
\(366\) 0.0135797 + 0.0506800i 0.000709820 + 0.00264908i
\(367\) 3.51454 + 2.02912i 0.183457 + 0.105919i 0.588916 0.808194i \(-0.299555\pi\)
−0.405459 + 0.914113i \(0.632888\pi\)
\(368\) 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
\(371\) 0.840561 + 3.53182i 0.0436398 + 0.183363i
\(372\) 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 −0.972937 0.231072i \(-0.925777\pi\)
0.958124 + 0.286354i \(0.0924433\pi\)
\(384\) −12.3689 3.31424i −0.631199 0.169129i
\(385\) 2.00134 6.70787i 0.101998 0.341865i
\(386\) −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
\(392\) −17.6438 5.80975i −0.891147 0.293437i
\(393\) −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 0.589105 0.808056i \(-0.299480\pi\)
0.106152 + 0.994350i \(0.466147\pi\)
\(398\) −1.42844 + 1.42844i −0.0716012 + 0.0716012i
\(399\) 3.39164 + 2.08760i 0.169794 + 0.104511i
\(400\) 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
\(406\) −0.367051 + 13.0359i −0.0182164 + 0.646963i
\(407\) −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 \(0.425276\pi\)
−0.687726 + 0.725970i \(0.741391\pi\)
\(410\) −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
\(413\) −0.0746130 + 2.64991i −0.00367146 + 0.130393i
\(414\) 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 −0.152995 0.988227i \(-0.548892\pi\)
−0.932327 + 0.361616i \(0.882225\pi\)
\(420\) −0.458960 + 0.745654i −0.0223950 + 0.0363842i
\(421\) −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
\(427\) −0.0640239 0.0677338i −0.00309834 0.00327787i
\(428\) 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 \(0.130585\pi\)
−0.113111 + 0.993582i \(0.536082\pi\)
\(434\) −7.06930 2.10918i −0.339337 0.101244i
\(435\) −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 −0.530684 0.847570i \(-0.678065\pi\)
0.999359 + 0.0358007i \(0.0113981\pi\)
\(440\) 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
\(448\) 17.8798 4.25534i 0.844741 0.201046i
\(449\) −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
\(455\) −4.58538 + 13.7167i −0.214966 + 0.643047i
\(456\) −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 \(-0.594085\pi\)
0.730584 0.682823i \(-0.239248\pi\)
\(462\) 6.68982 1.59216i 0.311239 0.0740738i
\(463\) −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 \(-0.319048\pi\)
0.538349 + 0.842722i \(0.319048\pi\)
\(468\) 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
\(476\) 0.473904 1.58838i 0.0217214 0.0728033i
\(477\) −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 \(-0.759203\pi\)
0.286634 0.958040i \(-0.407464\pi\)
\(480\) 1.86400i 0.0850795i
\(481\) 19.1943 10.2611i 0.875187 0.467864i
\(482\) 33.1652i 1.51063i
\(483\) −7.13025 + 6.73972i −0.324438 + 0.306668i
\(484\) 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
\(490\) 0.889421 15.7815i 0.0401799 0.712937i
\(491\) 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
\(497\) 0.879533 31.2369i 0.0394524 1.40117i
\(498\) −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 −0.358515 0.933524i \(-0.616717\pi\)
0.629198 + 0.777245i \(0.283384\pi\)
\(504\) 7.01818 + 0.197610i 0.312614 + 0.00880223i
\(505\) −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 −0.394336 0.918966i \(-0.629025\pi\)
0.117978 + 0.993016i \(0.462359\pi\)
\(510\) 5.61276 + 3.24053i 0.248537 + 0.143493i
\(511\) −36.1184 22.2313i −1.59778 0.983457i
\(512\) −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
\(518\) −17.2868 + 16.3400i −0.759539 + 0.717938i
\(519\) 21.8050i 0.957135i
\(520\) −3.29483 14.1270i −0.144488 0.619508i
\(521\) 13.2340i 0.579793i −0.957058 0.289896i \(-0.906379\pi\)
0.957058 0.289896i \(-0.0936208\pi\)
\(522\) −1.27574 4.76112i −0.0558375 0.208389i
\(523\) −35.3268 20.3959i −1.54473 0.891852i −0.998530 0.0541990i \(-0.982739\pi\)
−0.546203 0.837653i \(-0.683927\pi\)
\(524\) −0.793960 1.37518i −0.0346843 0.0600749i
\(525\) −6.84890 2.04342i −0.298911 0.0891821i
\(526\) −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
\(539\) −9.11018 + 8.13810i −0.392403 + 0.350533i
\(540\) 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
\(546\) −13.9219 + 2.83638i −0.595801 + 0.121386i
\(547\) 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
\(553\) 2.16253 + 9.08637i 0.0919600 + 0.386392i
\(554\) −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 0.804325 0.594190i \(-0.202527\pi\)
−0.916746 + 0.399470i \(0.869194\pi\)
\(564\) −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
\(567\) 2.53531 + 0.756429i 0.106473 + 0.0317670i
\(568\) 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
\(574\) 9.19089 8.68749i 0.383620 0.362609i
\(575\) −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 0.506334 0.862337i \(-0.331000\pi\)
−0.862337 + 0.506334i \(0.831000\pi\)
\(578\) 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
\(581\) 21.2632 34.5455i 0.882146 1.43319i
\(582\) 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 0.763929 0.645300i \(-0.223268\pi\)
0.984232 + 0.176881i \(0.0566009\pi\)
\(588\) 1.36415 0.688316i 0.0562567 0.0283857i
\(589\) 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 \(0.574845\pi\)
−0.972483 + 0.232973i \(0.925155\pi\)
\(594\) −2.25092 + 1.29957i −0.0923564 + 0.0533220i
\(595\) −11.5084 0.324040i −0.471798 0.0132843i
\(596\) 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 0.418837 0.908062i \(-0.362438\pi\)
−0.576986 + 0.816754i \(0.695771\pi\)
\(602\) 7.84743 12.7494i 0.319837 0.519627i
\(603\) 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 −0.723458 0.690368i \(-0.757449\pi\)
0.236147 + 0.971717i \(0.424115\pi\)
\(608\) 0.925346 1.60275i 0.0375277 0.0649999i
\(609\) 6.01472 + 6.36324i 0.243729 + 0.257851i
\(610\) 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
\(616\) 3.50297 11.7409i 0.141139 0.473053i
\(617\) 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 −0.634873 0.772616i \(-0.718948\pi\)
0.772616 + 0.634873i \(0.218948\pi\)
\(620\) 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
\(630\) 1.38323 + 5.81199i 0.0551094 + 0.231555i
\(631\) 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
\(637\) 19.3616 16.1904i 0.767135 0.641486i
\(638\) −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 −0.928669 0.370909i \(-0.879046\pi\)
0.989706 + 0.143118i \(0.0457129\pi\)
\(644\) −0.495857 2.08346i −0.0195395 0.0820999i
\(645\) 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 −0.983380 0.181558i \(-0.941886\pi\)
0.648924 + 0.760853i \(0.275219\pi\)
\(648\) −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
\(658\) 9.34211 31.3119i 0.364193 1.22066i
\(659\) −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 \(0.0544912\pi\)
−0.768189 + 0.640223i \(0.778842\pi\)
\(662\) 35.0561i 1.36250i
\(663\) 2.35050 + 10.0780i 0.0912859 + 0.391398i
\(664\) 40.6864i 1.57894i
\(665\) 4.14772 + 4.38806i 0.160842 + 0.170162i
\(666\) 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
\(672\) −1.70507 + 2.77015i −0.0657743 + 0.106861i
\(673\) 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 \(-0.876394\pi\)
0.925546 0.378635i \(-0.123606\pi\)
\(678\) 16.1217 4.31981i 0.619152 0.165901i
\(679\) −25.2241 0.710231i −0.968013 0.0272562i
\(680\) 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
\(686\) −15.7577 + 22.6399i −0.601633 + 0.864395i
\(687\) −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 0.162444 0.986718i \(-0.448062\pi\)
0.634039 + 0.773301i \(0.281396\pi\)
\(692\) −4.12196 2.37982i −0.156694 0.0904671i
\(693\) 2.42018 3.93198i 0.0919351 0.149363i
\(694\) 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
\(700\) 1.13378 1.07168i 0.0428527 0.0405056i
\(701\) 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
\(707\) 34.2000 + 10.2038i 1.28622 + 0.383754i
\(708\) 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 \(0.0375974\pi\)
−0.394463 + 0.918912i \(0.629069\pi\)
\(720\) −4.70515 4.70515i −0.175351 0.175351i
\(721\) 5.47252 + 22.9941i 0.203807 + 0.856345i
\(722\) −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 \(-0.715404\pi\)
−0.626233 + 0.779636i \(0.715404\pi\)
\(728\) −8.02586 + 24.0085i −0.297458 + 0.889813i
\(729\) −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 0.606761 0.794884i \(-0.292468\pi\)
−0.794884 + 0.606761i \(0.792468\pi\)
\(734\) −1.56438 + 5.83834i −0.0577423 + 0.215497i
\(735\) −7.07022 7.91475i −0.260789 0.291940i
\(736\) 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
\(749\) 33.0791 + 9.86937i 1.20868 + 0.360619i
\(750\) 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
\(756\) −0.419699 + 0.396712i −0.0152643 + 0.0144283i
\(757\) 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 −0.0496251 0.998768i \(-0.515803\pi\)
−0.542361 + 0.840146i \(0.682469\pi\)
\(762\) −4.46345 + 4.46345i −0.161694 + 0.161694i
\(763\) 44.7120 + 27.5208i 1.61868 + 0.996320i
\(764\) −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 0.727617 0.685984i \(-0.240628\pi\)
0.973127 + 0.230271i \(0.0739613\pi\)
\(770\) 10.4217 + 0.293442i 0.375571 + 0.0105749i
\(771\) 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 −0.994673 0.103083i \(-0.967129\pi\)