Properties

Label 273.2.by.c.76.7
Level $273$
Weight $2$
Character 273.76
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 76.7
Character \(\chi\) \(=\) 273.76
Dual form 273.2.by.c.97.7

$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{12}\right)\) \(-1\)

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 −0.684870 0.728665i \(-0.740141\pi\)
0.957448 0.288607i \(-0.0931921\pi\)
\(3\) 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 \(-0.639907\pi\)
0.904952 + 0.425515i \(0.139907\pi\)
\(6\) −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 0.503822 0.863808i \(-0.331927\pi\)
0.00441837 + 0.999990i \(0.498594\pi\)
\(12\) −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 \(-0.946492\pi\)
0.637847 + 0.770164i \(0.279825\pi\)
\(18\) −1.05316 1.05316i −0.248232 0.248232i
\(19\) −0.389597 1.45400i −0.0893798 0.333570i 0.906728 0.421717i \(-0.138572\pi\)
−0.996108 + 0.0881466i \(0.971906\pi\)
\(20\) −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 −0.795946 0.605368i \(-0.793026\pi\)
0.126292 + 0.991993i \(0.459693\pi\)
\(24\) 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 0.670490 0.741919i \(-0.266084\pi\)
−0.977765 + 0.209702i \(0.932751\pi\)
\(30\) −1.95556 1.12904i −0.357034 0.206134i
\(31\) −1.32380 + 1.32380i −0.237761 + 0.237761i −0.815922 0.578161i \(-0.803770\pi\)
0.578161 + 0.815922i \(0.303770\pi\)
\(32\) −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 −0.254581 0.967051i \(-0.581938\pi\)
−0.703999 + 0.710201i \(0.748604\pi\)
\(38\) −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 \(-0.336034\pi\)
−0.00848433 + 0.999964i \(0.502701\pi\)
\(42\) 3.93899 0.110910i 0.607800 0.0171137i
\(43\) 3.29020 + 1.89960i 0.501751 + 0.289686i 0.729436 0.684049i \(-0.239782\pi\)
−0.227685 + 0.973735i \(0.573116\pi\)
\(44\) −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 \(-0.0432652\pi\)
−0.135504 + 0.990777i \(0.543265\pi\)
\(48\) −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 −0.321268 0.946988i \(-0.604109\pi\)
0.195268 + 0.980750i \(0.437442\pi\)
\(60\) −0.234009 + 0.234009i −0.0302105 + 0.0302105i
\(61\) 0.0305081 + 0.0176138i 0.00390616 + 0.00225522i 0.501952 0.864896i \(-0.332615\pi\)
−0.498046 + 0.867151i \(0.665949\pi\)
\(62\) 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 0.845019 + 0.534736i \(0.179589\pi\)
−0.999176 + 0.0405858i \(0.987078\pi\)
\(68\) 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 0.492366 0.870388i \(-0.336132\pi\)
0.861595 + 0.507596i \(0.169466\pi\)
\(72\) −0.686821 2.56325i −0.0809427 0.302082i
\(73\) 11.3351 + 11.3351i 1.32667 + 1.32667i 0.908258 + 0.418410i \(0.137413\pi\)
0.418410 + 0.908258i \(0.362587\pi\)
\(74\) −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 0.212936 0.977066i \(-0.431698\pi\)
0.977066 0.212936i \(-0.0683025\pi\)
\(84\) 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 0.771995 + 0.635628i \(0.219259\pi\)
−0.986382 + 0.164473i \(0.947408\pi\)
\(90\) −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 0.970465 + 0.241244i \(0.0775554\pi\)
−0.719825 + 0.694156i \(0.755778\pi\)
\(98\) −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 −0.977585 0.210540i \(-0.932478\pi\)
0.306460 0.951883i \(-0.400855\pi\)
\(102\) 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 −0.987416 0.158146i \(-0.949448\pi\)
0.356750 0.934200i \(-0.383885\pi\)
\(108\) −0.109141 + 0.189037i −0.0105021 + 0.0181901i
\(109\) −14.0320 14.0320i −1.34402 1.34402i −0.892015 0.452007i \(-0.850708\pi\)
−0.452007 0.892015i \(-0.649292\pi\)
\(110\) −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 0.472404 + 0.881382i \(0.343386\pi\)
−0.999501 + 0.0315769i \(0.989947\pi\)
\(114\) −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 −0.328235 0.944596i \(-0.606454\pi\)
0.653926 + 0.756558i \(0.273121\pi\)
\(128\) −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
\(133\) 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 −0.671706 0.740818i \(-0.734438\pi\)
0.211306 0.977420i \(-0.432228\pi\)
\(138\) 3.90550 + 3.90550i 0.332459 + 0.332459i
\(139\) −16.2490 9.38137i −1.37822 0.795718i −0.386278 0.922382i \(-0.626239\pi\)
−0.991946 + 0.126665i \(0.959573\pi\)
\(140\) −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 −0.329160 0.944274i \(-0.606765\pi\)
0.187077 + 0.982345i \(0.440099\pi\)
\(150\) 3.88635 1.04134i 0.317319 0.0850253i
\(151\) 14.9709 14.9709i 1.21832 1.21832i 0.250095 0.968221i \(-0.419538\pi\)
0.968221 0.250095i \(-0.0804619\pi\)
\(152\) −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 \(0.283836\pi\)
−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
\(161\) −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 0.932257 + 0.361796i \(0.117836\pi\)
−0.626460 + 0.779453i \(0.715497\pi\)
\(164\) −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 −0.837376 0.546627i \(-0.815911\pi\)
0.998503 0.0547052i \(-0.0174219\pi\)
\(168\) 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 −0.0699960 0.997547i \(-0.522299\pi\)
0.898899 0.438155i \(-0.144368\pi\)
\(174\) −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 −0.151303 0.988487i \(-0.548347\pi\)
0.780404 + 0.625276i \(0.215014\pi\)
\(180\) −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 −0.850312 0.526280i \(-0.823587\pi\)
0.880927 + 0.473252i \(0.156920\pi\)
\(192\) −3.47334 6.01601i −0.250667 0.434168i
\(193\) −1.53179 0.410441i −0.110260 0.0295442i 0.203267 0.979123i \(-0.434844\pi\)
−0.313527 + 0.949579i \(0.601511\pi\)
\(194\) 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 −0.997198 0.0748081i \(-0.976166\pi\)
0.901003 + 0.433813i \(0.142832\pi\)
\(198\) −1.29957 2.25092i −0.0923564 0.159966i
\(199\) 0.678170 1.17462i 0.0480742 0.0832670i −0.840987 0.541055i \(-0.818025\pi\)
0.889061 + 0.457788i \(0.151358\pi\)
\(200\) 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 0.877001 + 0.480488i \(0.159541\pi\)
−0.0223853 + 0.999749i \(0.507126\pi\)
\(212\) 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 0.684916 0.728622i \(-0.259839\pi\)
0.228844 + 0.973463i \(0.426506\pi\)
\(224\) −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 −0.841673 0.539988i \(-0.818429\pi\)
0.458916 0.888480i \(-0.348238\pi\)
\(228\) 0.0850419 + 0.317381i 0.00563204 + 0.0210190i
\(229\) −8.69387 8.69387i −0.574507 0.574507i 0.358877 0.933385i \(-0.383160\pi\)
−0.933385 + 0.358877i \(0.883160\pi\)
\(230\) 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 \(0.342048\pi\)
−0.476104 + 0.879389i \(0.657952\pi\)
\(234\) 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 0.883743 0.467973i \(-0.155016\pi\)
−0.467973 + 0.883743i \(0.655016\pi\)
\(240\) −6.42736 + 1.72221i −0.414884 + 0.111168i
\(241\) 21.5089 5.76329i 1.38551 0.371246i 0.512391 0.858752i \(-0.328760\pi\)
0.873120 + 0.487506i \(0.162093\pi\)
\(242\) −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 0.251921 0.967748i \(-0.418938\pi\)
0.712134 0.702044i \(-0.247729\pi\)
\(252\) −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 0.994654 0.103268i \(-0.0329300\pi\)
−0.586760 + 0.809761i \(0.699597\pi\)
\(258\) 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 0.688750 0.724999i \(-0.258160\pi\)
−0.972243 + 0.233975i \(0.924827\pi\)
\(264\) 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 0.160712 0.987001i \(-0.448621\pi\)
−0.774412 + 0.632681i \(0.781954\pi\)
\(270\) −1.95556 + 1.12904i −0.119011 + 0.0687112i
\(271\) −5.43020 + 20.2658i −0.329861 + 1.23106i 0.579473 + 0.814991i \(0.303258\pi\)
−0.909334 + 0.416067i \(0.863408\pi\)
\(272\) 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 0.0293625 0.999569i \(-0.490652\pi\)
−0.850971 + 0.525213i \(0.823986\pi\)
\(278\) −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 −0.866653 0.498912i \(-0.833733\pi\)
0.498912 + 0.866653i \(0.333733\pi\)
\(282\) 6.17514 10.6957i 0.367725 0.636918i
\(283\) 2.66486 + 4.61567i 0.158410 + 0.274373i 0.934295 0.356500i \(-0.116030\pi\)
−0.775886 + 0.630873i \(0.782697\pi\)
\(284\) −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 \(-0.800795\pi\)
−0.409018 + 0.912526i \(0.634129\pi\)
\(294\) −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 0.799530 0.600626i \(-0.205082\pi\)
−0.600626 + 0.799530i \(0.705082\pi\)
\(308\) 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 \(0.202476\pi\)
−0.804421 + 0.594060i \(0.797524\pi\)
\(314\) 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 0.934684 0.355480i \(-0.115683\pi\)
−0.355480 + 0.934684i \(0.615683\pi\)
\(318\) 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 0.427444 0.904042i \(-0.359414\pi\)
0.822198 + 0.569202i \(0.192748\pi\)
\(332\) −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 \(-0.869819\pi\)
0.917529 0.397668i \(-0.130181\pi\)
\(338\) 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 −0.998719 0.0506002i \(-0.983887\pi\)
0.543181 + 0.839616i \(0.317220\pi\)
\(348\) 0.361197 + 0.625611i 0.0193622 + 0.0335363i
\(349\) 0.728645 2.71934i 0.0390035 0.145563i −0.943678 0.330865i \(-0.892660\pi\)
0.982682 + 0.185302i \(0.0593263\pi\)
\(350\) −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 \(-0.736173\pi\)
−0.953775 + 0.300521i \(0.902839\pi\)
\(354\) 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 −0.282733 0.959199i \(-0.591241\pi\)
0.959199 + 0.282733i \(0.0912410\pi\)
\(360\) −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 −0.405459 0.914113i \(-0.632888\pi\)
0.588916 + 0.808194i \(0.299555\pi\)
\(368\) 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 −0.704222 0.709980i \(-0.748704\pi\)
0.966972 + 0.254884i \(0.0820374\pi\)
\(374\) 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 −0.934009 0.357249i \(-0.883715\pi\)
0.987500 + 0.157618i \(0.0503815\pi\)
\(380\) 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 \(-0.0924433\pi\)
−0.972937 + 0.231072i \(0.925777\pi\)
\(384\) −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 \(0.0199107\pi\)
−0.998044 + 0.0625106i \(0.980089\pi\)
\(390\) 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 0.106152 0.994350i \(-0.466147\pi\)
0.589105 + 0.808056i \(0.299480\pi\)
\(398\) −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 0.490347 0.871527i \(-0.336870\pi\)
−0.0111107 + 0.999938i \(0.503537\pi\)
\(402\) 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 −0.687726 0.725970i \(-0.741391\pi\)
0.232603 0.972572i \(-0.425276\pi\)
\(410\) −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 −0.932327 0.361616i \(-0.882225\pi\)
−0.152995 + 0.988227i \(0.548892\pi\)
\(420\) −0.458960 0.745654i −0.0223950 0.0363842i
\(421\) −9.66177 9.66177i −0.470886 0.470886i 0.431315 0.902201i \(-0.358050\pi\)
−0.902201 + 0.431315i \(0.858050\pi\)
\(422\) 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 −0.994511 0.104629i \(-0.966635\pi\)
0.913586 + 0.406645i \(0.133301\pi\)
\(432\) −3.80091 + 2.19446i −0.182871 + 0.105581i
\(433\) 16.7283 28.9743i 0.803912 1.39242i −0.113111 0.993582i \(-0.536082\pi\)
0.917023 0.398834i \(-0.130585\pi\)
\(434\) −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 0.999359 0.0358007i \(-0.0113981\pi\)
−0.530684 + 0.847570i \(0.678065\pi\)
\(440\) 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 −0.957934 0.286990i \(-0.907345\pi\)
0.686100 0.727507i \(-0.259321\pi\)
\(450\) 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 −0.999620 0.0275663i \(-0.991224\pi\)
0.879479 + 0.475937i \(0.157891\pi\)
\(458\) −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 0.730584 + 0.682823i \(0.239248\pi\)
−0.291293 + 0.956634i \(0.594085\pi\)
\(462\) 6.68982 + 1.59216i 0.311239 + 0.0740738i
\(463\) −5.57925 + 5.57925i −0.259290 + 0.259290i −0.824765 0.565476i \(-0.808693\pi\)
0.565476 + 0.824765i \(0.308693\pi\)
\(464\) −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 0.286634 + 0.958040i \(0.407464\pi\)
−0.727252 + 0.686370i \(0.759203\pi\)
\(480\) 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 −0.996369 0.0851447i \(-0.972865\pi\)
−0.820308 + 0.571922i \(0.806198\pi\)
\(488\) 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 −0.328146 0.944627i \(-0.606424\pi\)
0.653998 + 0.756496i \(0.273090\pi\)
\(492\) −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 0.543281 0.839551i \(-0.317182\pi\)
−0.839551 + 0.543281i \(0.817182\pi\)
\(500\) −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 \(-0.283384\pi\)
−0.358515 + 0.933524i \(0.616717\pi\)
\(504\) 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 0.117978 0.993016i \(-0.462359\pi\)
−0.394336 + 0.918966i \(0.629025\pi\)
\(510\) 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 \(0.0936208\pi\)
−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 −0.546203 + 0.837653i \(0.683927\pi\)
−0.998530 + 0.0541990i \(0.982739\pi\)
\(524\) −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 −0.945756 0.324878i \(-0.894677\pi\)
0.324878 + 0.945756i \(0.394677\pi\)
\(542\) 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 −0.798420 0.602100i \(-0.794331\pi\)
−0.992503 + 0.122224i \(0.960997\pi\)
\(558\) 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 \(-0.869194\pi\)
0.804325 + 0.594190i \(0.202527\pi\)
\(564\) −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 −0.129606 0.991566i \(-0.541371\pi\)
0.793918 + 0.608025i \(0.208038\pi\)
\(570\) −0.879743 + 3.28325i −0.0368484 + 0.137520i
\(571\) 33.5009i 1.40197i 0.713176 + 0.700985i \(0.247256\pi\)
−0.713176 + 0.700985i \(0.752744\pi\)
\(572\) 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 −0.862337 0.506334i \(-0.831000\pi\)
0.506334 + 0.862337i \(0.331000\pi\)
\(578\) 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 0.984232 0.176881i \(-0.0566009\pi\)
0.763929 + 0.645300i \(0.223268\pi\)
\(588\) 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 −0.972483 0.232973i \(-0.925155\pi\)
−0.232973 0.972483i \(-0.574845\pi\)
\(594\) −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 −0.576986 0.816754i \(-0.695771\pi\)
0.418837 + 0.908062i \(0.362438\pi\)
\(602\) 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 0.236147 0.971717i \(-0.424115\pi\)
−0.723458 + 0.690368i \(0.757449\pi\)
\(608\) 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 −0.870461 0.492238i \(-0.836179\pi\)
0.999960 + 0.00893943i \(0.00284555\pi\)
\(614\) 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 −0.172456 0.985017i \(-0.555170\pi\)
0.343157 + 0.939278i \(0.388504\pi\)
\(618\) 3.44379 + 12.8524i 0.138529 + 0.516999i
\(619\) 3.42700 + 3.42700i 0.137743 + 0.137743i 0.772616 0.634873i \(-0.218948\pi\)
−0.634873 + 0.772616i \(0.718948\pi\)
\(620\) 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 0.938030 + 0.346554i \(0.112648\pi\)
−0.639081 + 0.769139i \(0.720685\pi\)
\(632\) −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 0.964332 0.264696i \(-0.0852716\pi\)
0.252932 + 0.967484i \(0.418605\pi\)
\(642\) −13.7409 + 13.7409i −0.542309 + 0.542309i
\(643\) 1.54772 + 5.77618i 0.0610362 + 0.227790i 0.989706 0.143118i \(-0.0457129\pi\)
−0.928669 + 0.370909i \(0.879046\pi\)
\(644\) −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 0.648924 0.760853i \(-0.275219\pi\)
−0.983380 + 0.181558i \(0.941886\pi\)
\(648\) −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 0.944049 0.329805i \(-0.106983\pi\)
−0.757644 + 0.652668i \(0.773650\pi\)
\(654\) −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 0.437161 + 0.899383i \(0.355984\pi\)
−0.997469 + 0.0710991i \(0.977349\pi\)
\(660\) −0.500150 + 0.288762i −0.0194683 + 0.0112400i
\(661\) 5.58403 20.8399i 0.217193 0.810577i −0.768189 0.640223i \(-0.778842\pi\)
0.985383 0.170354i \(-0.0544912\pi\)
\(662\) 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 0.0535322 0.998566i \(-0.482952\pi\)
0.891550 + 0.452923i \(0.149619\pi\)
\(674\) −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
\(679\) −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 0.975551 + 0.219772i \(0.0705313\pi\)
−0.734966 + 0.678104i \(0.762802\pi\)
\(684\) 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 0.634039 0.773301i \(-0.281396\pi\)
0.162444 + 0.986718i \(0.448062\pi\)
\(692\) −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 \(0.216404\pi\)
−0.777665 + 0.628678i \(0.783596\pi\)
\(702\) 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 0.972862 0.231388i \(-0.0743266\pi\)
−0.958217 + 0.286043i \(0.907660\pi\)
\(710\) −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 −0.394463 0.918912i \(-0.629069\pi\)
0.993032 0.117841i \(-0.0375974\pi\)
\(720\) −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 −0.794884 0.606761i \(-0.792468\pi\)
0.606761 + 0.794884i \(0.292468\pi\)
\(734\) −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 0.640978 0.767559i \(-0.278529\pi\)
0.171324 + 0.985215i \(0.445196\pi\)
\(740\) 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 −0.997557 0.0698588i \(-0.977745\pi\)
0.898839 + 0.438279i \(0.144412\pi\)
\(744\) 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 −0.981076 0.193621i \(-0.937977\pi\)
−0.322858 + 0.946448i \(0.604643\pi\)
\(752\) 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 0.985933 0.167140i \(-0.0534532\pi\)
−0.637714 + 0.770273i \(0.720120\pi\)
\(758\) −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 \(-0.682469\pi\)
−0.0496251 + 0.998768i \(0.515803\pi\)
\(762\) −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 0.973127 0.230271i \(-0.0739613\pi\)
0.727617 + 0.685984i \(0.240628\pi\)
\(770\) 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 0.912953 0.408064i \(-0.133796\pi\)
−0.994673 + 0.103083i \(0.967129\pi\)