Properties

Label 588.2.x.a.55.8
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.8
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.a.139.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.977782 + 1.02174i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.0878851 - 1.99807i) q^{4} +(-1.73990 + 3.61294i) q^{5} +(1.32427 - 0.496308i) q^{6} +(-2.50782 - 0.843102i) q^{7} +(2.12743 + 1.86388i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-0.977782 + 1.02174i) q^{2} +(-0.900969 - 0.433884i) q^{3} +(-0.0878851 - 1.99807i) q^{4} +(-1.73990 + 3.61294i) q^{5} +(1.32427 - 0.496308i) q^{6} +(-2.50782 - 0.843102i) q^{7} +(2.12743 + 1.86388i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-1.99022 - 5.31038i) q^{10} +(-1.92041 - 1.53148i) q^{11} +(-0.787748 + 1.83833i) q^{12} +(-0.242677 - 0.193528i) q^{13} +(3.31353 - 1.73796i) q^{14} +(3.13519 - 2.50023i) q^{15} +(-3.98455 + 0.351201i) q^{16} +(1.58371 + 0.361471i) q^{17} +(-1.40846 - 0.127419i) q^{18} -1.42748 q^{19} +(7.37180 + 3.15891i) q^{20} +(1.89366 + 1.84771i) q^{21} +(3.44250 - 0.464701i) q^{22} +(1.88313 - 0.429812i) q^{23} +(-1.10804 - 2.60235i) q^{24} +(-6.90861 - 8.66313i) q^{25} +(0.435019 - 0.0587229i) q^{26} +(-0.222521 - 0.974928i) q^{27} +(-1.46418 + 5.08490i) q^{28} +(-0.713952 + 3.12803i) q^{29} +(-0.510959 + 5.64801i) q^{30} +8.67188 q^{31} +(3.53719 - 4.41455i) q^{32} +(1.06575 + 2.21305i) q^{33} +(-1.91785 + 1.26469i) q^{34} +(7.40943 - 7.59369i) q^{35} +(1.50736 - 1.31449i) q^{36} +(1.67306 - 7.33014i) q^{37} +(1.39576 - 1.45850i) q^{38} +(0.134675 + 0.279656i) q^{39} +(-10.4356 + 4.44330i) q^{40} +(-0.338961 + 0.703860i) q^{41} +(-3.73946 + 0.128162i) q^{42} +(-4.37580 - 9.08645i) q^{43} +(-2.89122 + 3.97170i) q^{44} +(-3.90952 + 0.892322i) q^{45} +(-1.40214 + 2.34432i) q^{46} +(8.25121 - 10.3467i) q^{47} +(3.74234 + 1.41241i) q^{48} +(5.57836 + 4.22870i) q^{49} +(15.6065 + 1.41188i) q^{50} +(-1.27003 - 1.01282i) q^{51} +(-0.365355 + 0.501893i) q^{52} +(-2.88505 - 12.6402i) q^{53} +(1.21369 + 0.725909i) q^{54} +(8.87444 - 4.27371i) q^{55} +(-3.76377 - 6.46792i) q^{56} +(1.28611 + 0.619359i) q^{57} +(-2.49793 - 3.78800i) q^{58} +(-7.46010 + 3.59259i) q^{59} +(-5.27117 - 6.04459i) q^{60} +(5.94700 + 1.35736i) q^{61} +(-8.47920 + 8.86036i) q^{62} +(-0.904439 - 2.48636i) q^{63} +(1.05191 + 7.93054i) q^{64} +(1.12144 - 0.540056i) q^{65} +(-3.30322 - 1.07497i) q^{66} +6.08092i q^{67} +(0.583059 - 3.19612i) q^{68} +(-1.88313 - 0.429812i) q^{69} +(0.513935 + 14.9955i) q^{70} +(0.983366 - 0.224447i) q^{71} +(-0.130810 + 2.82540i) q^{72} +(-5.64424 + 4.50113i) q^{73} +(5.85358 + 8.87670i) q^{74} +(2.46566 + 10.8027i) q^{75} +(0.125454 + 2.85220i) q^{76} +(3.52486 + 5.45977i) q^{77} +(-0.417418 - 0.135840i) q^{78} +0.238695i q^{79} +(5.66385 - 15.0070i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-0.387728 - 1.03455i) q^{82} +(0.444225 + 0.557040i) q^{83} +(3.52543 - 3.94605i) q^{84} +(-4.06146 + 5.09291i) q^{85} +(13.5625 + 4.41365i) q^{86} +(2.00045 - 2.50849i) q^{87} +(-1.23105 - 6.83752i) q^{88} +(6.14285 - 4.89876i) q^{89} +(2.91094 - 4.86699i) q^{90} +(0.445426 + 0.689935i) q^{91} +(-1.02429 - 3.72485i) q^{92} +(-7.81309 - 3.76259i) q^{93} +(2.50369 + 18.5474i) q^{94} +(2.48366 - 5.15738i) q^{95} +(-5.10230 + 2.44265i) q^{96} -11.4209i q^{97} +(-9.77503 + 1.56485i) q^{98} -2.45630i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q - 28 q^{3} + 2 q^{7} + 6 q^{8} - 28 q^{9} + 20 q^{10} - 12 q^{14} + 36 q^{16} + 12 q^{19} - 25 q^{20} + 2 q^{21} - 6 q^{22} - 15 q^{24} + 32 q^{25} + 6 q^{26} - 28 q^{27} - 66 q^{28} - 8 q^{30} - 4 q^{31} + 25 q^{32} - 68 q^{34} - 12 q^{35} - 10 q^{37} + 35 q^{38} + 14 q^{39} + 16 q^{40} + 9 q^{42} + 20 q^{44} - 28 q^{46} - 8 q^{47} + 8 q^{48} - 8 q^{49} + 114 q^{50} + 20 q^{52} - 8 q^{53} - q^{56} + 12 q^{57} - 6 q^{58} + 20 q^{59} + 10 q^{60} - 14 q^{61} - 16 q^{62} - 12 q^{63} + 42 q^{64} - 8 q^{65} - 6 q^{66} - 16 q^{68} + 59 q^{70} + 28 q^{71} - 15 q^{72} + 22 q^{74} + 18 q^{75} + 7 q^{76} + 8 q^{77} + 6 q^{78} + 26 q^{80} - 28 q^{81} + 12 q^{82} + 10 q^{83} + 11 q^{84} - 24 q^{85} - 6 q^{86} - 242 q^{88} + 20 q^{90} - 16 q^{91} + 7 q^{92} - 4 q^{93} - 53 q^{94} - 10 q^{96} - 118 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.977782 + 1.02174i −0.691396 + 0.722476i
\(3\) −0.900969 0.433884i −0.520175 0.250503i
\(4\) −0.0878851 1.99807i −0.0439425 0.999034i
\(5\) −1.73990 + 3.61294i −0.778106 + 1.61575i 0.00979453 + 0.999952i \(0.496882\pi\)
−0.787901 + 0.615802i \(0.788832\pi\)
\(6\) 1.32427 0.496308i 0.540629 0.202617i
\(7\) −2.50782 0.843102i −0.947868 0.318663i
\(8\) 2.12743 + 1.86388i 0.752160 + 0.658981i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −1.99022 5.31038i −0.629364 1.67929i
\(11\) −1.92041 1.53148i −0.579025 0.461757i 0.289654 0.957131i \(-0.406460\pi\)
−0.868680 + 0.495374i \(0.835031\pi\)
\(12\) −0.787748 + 1.83833i −0.227403 + 0.530680i
\(13\) −0.242677 0.193528i −0.0673064 0.0536750i 0.589259 0.807944i \(-0.299420\pi\)
−0.656565 + 0.754269i \(0.727991\pi\)
\(14\) 3.31353 1.73796i 0.885579 0.464490i
\(15\) 3.13519 2.50023i 0.809502 0.645556i
\(16\) −3.98455 + 0.351201i −0.996138 + 0.0878002i
\(17\) 1.58371 + 0.361471i 0.384106 + 0.0876696i 0.410213 0.911990i \(-0.365454\pi\)
−0.0261079 + 0.999659i \(0.508311\pi\)
\(18\) −1.40846 0.127419i −0.331978 0.0300330i
\(19\) −1.42748 −0.327486 −0.163743 0.986503i \(-0.552357\pi\)
−0.163743 + 0.986503i \(0.552357\pi\)
\(20\) 7.37180 + 3.15891i 1.64839 + 0.706354i
\(21\) 1.89366 + 1.84771i 0.413231 + 0.403204i
\(22\) 3.44250 0.464701i 0.733944 0.0990745i
\(23\) 1.88313 0.429812i 0.392660 0.0896220i −0.0216324 0.999766i \(-0.506886\pi\)
0.414292 + 0.910144i \(0.364029\pi\)
\(24\) −1.10804 2.60235i −0.226178 0.531203i
\(25\) −6.90861 8.66313i −1.38172 1.73263i
\(26\) 0.435019 0.0587229i 0.0853143 0.0115165i
\(27\) −0.222521 0.974928i −0.0428242 0.187625i
\(28\) −1.46418 + 5.08490i −0.276703 + 0.960955i
\(29\) −0.713952 + 3.12803i −0.132578 + 0.580861i 0.864375 + 0.502848i \(0.167715\pi\)
−0.996952 + 0.0780124i \(0.975143\pi\)
\(30\) −0.510959 + 5.64801i −0.0932878 + 1.03118i
\(31\) 8.67188 1.55752 0.778758 0.627325i \(-0.215850\pi\)
0.778758 + 0.627325i \(0.215850\pi\)
\(32\) 3.53719 4.41455i 0.625293 0.780390i
\(33\) 1.06575 + 2.21305i 0.185523 + 0.385242i
\(34\) −1.91785 + 1.26469i −0.328908 + 0.216893i
\(35\) 7.40943 7.59369i 1.25242 1.28357i
\(36\) 1.50736 1.31449i 0.251226 0.219081i
\(37\) 1.67306 7.33014i 0.275049 1.20507i −0.628920 0.777470i \(-0.716503\pi\)
0.903969 0.427598i \(-0.140640\pi\)
\(38\) 1.39576 1.45850i 0.226422 0.236600i
\(39\) 0.134675 + 0.279656i 0.0215653 + 0.0447808i
\(40\) −10.4356 + 4.44330i −1.65001 + 0.702548i
\(41\) −0.338961 + 0.703860i −0.0529368 + 0.109924i −0.925759 0.378113i \(-0.876573\pi\)
0.872822 + 0.488038i \(0.162287\pi\)
\(42\) −3.73946 + 0.128162i −0.577011 + 0.0197758i
\(43\) −4.37580 9.08645i −0.667304 1.38567i −0.909607 0.415470i \(-0.863617\pi\)
0.242303 0.970201i \(-0.422097\pi\)
\(44\) −2.89122 + 3.97170i −0.435867 + 0.598757i
\(45\) −3.90952 + 0.892322i −0.582796 + 0.133019i
\(46\) −1.40214 + 2.34432i −0.206734 + 0.345651i
\(47\) 8.25121 10.3467i 1.20356 1.50922i 0.397271 0.917701i \(-0.369957\pi\)
0.806291 0.591519i \(-0.201471\pi\)
\(48\) 3.74234 + 1.41241i 0.540160 + 0.203864i
\(49\) 5.57836 + 4.22870i 0.796908 + 0.604100i
\(50\) 15.6065 + 1.41188i 2.20710 + 0.199669i
\(51\) −1.27003 1.01282i −0.177840 0.141823i
\(52\) −0.365355 + 0.501893i −0.0506656 + 0.0696000i
\(53\) −2.88505 12.6402i −0.396292 1.73627i −0.641800 0.766872i \(-0.721812\pi\)
0.245508 0.969395i \(-0.421045\pi\)
\(54\) 1.21369 + 0.725909i 0.165163 + 0.0987838i
\(55\) 8.87444 4.27371i 1.19663 0.576266i
\(56\) −3.76377 6.46792i −0.502956 0.864312i
\(57\) 1.28611 + 0.619359i 0.170350 + 0.0820361i
\(58\) −2.49793 3.78800i −0.327994 0.497389i
\(59\) −7.46010 + 3.59259i −0.971222 + 0.467716i −0.851077 0.525041i \(-0.824050\pi\)
−0.120145 + 0.992756i \(0.538336\pi\)
\(60\) −5.27117 6.04459i −0.680504 0.780353i
\(61\) 5.94700 + 1.35736i 0.761435 + 0.173793i 0.585570 0.810622i \(-0.300871\pi\)
0.175865 + 0.984414i \(0.443728\pi\)
\(62\) −8.47920 + 8.86036i −1.07686 + 1.12527i
\(63\) −0.904439 2.48636i −0.113949 0.313252i
\(64\) 1.05191 + 7.93054i 0.131488 + 0.991318i
\(65\) 1.12144 0.540056i 0.139097 0.0669857i
\(66\) −3.30322 1.07497i −0.406598 0.132319i
\(67\) 6.08092i 0.742902i 0.928453 + 0.371451i \(0.121140\pi\)
−0.928453 + 0.371451i \(0.878860\pi\)
\(68\) 0.583059 3.19612i 0.0707063 0.387587i
\(69\) −1.88313 0.429812i −0.226702 0.0517433i
\(70\) 0.513935 + 14.9955i 0.0614270 + 1.79230i
\(71\) 0.983366 0.224447i 0.116704 0.0266370i −0.163770 0.986499i \(-0.552365\pi\)
0.280474 + 0.959862i \(0.409508\pi\)
\(72\) −0.130810 + 2.82540i −0.0154161 + 0.332977i
\(73\) −5.64424 + 4.50113i −0.660609 + 0.526818i −0.895420 0.445223i \(-0.853124\pi\)
0.234811 + 0.972041i \(0.424553\pi\)
\(74\) 5.85358 + 8.87670i 0.680464 + 1.03190i
\(75\) 2.46566 + 10.8027i 0.284709 + 1.24739i
\(76\) 0.125454 + 2.85220i 0.0143905 + 0.327169i
\(77\) 3.52486 + 5.45977i 0.401695 + 0.622199i
\(78\) −0.417418 0.135840i −0.0472632 0.0153809i
\(79\) 0.238695i 0.0268553i 0.999910 + 0.0134277i \(0.00427429\pi\)
−0.999910 + 0.0134277i \(0.995726\pi\)
\(80\) 5.66385 15.0070i 0.633238 1.67783i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −0.387728 1.03455i −0.0428174 0.114247i
\(83\) 0.444225 + 0.557040i 0.0487600 + 0.0611431i 0.805614 0.592441i \(-0.201836\pi\)
−0.756854 + 0.653585i \(0.773264\pi\)
\(84\) 3.52543 3.94605i 0.384656 0.430550i
\(85\) −4.06146 + 5.09291i −0.440527 + 0.552404i
\(86\) 13.5625 + 4.41365i 1.46248 + 0.475937i
\(87\) 2.00045 2.50849i 0.214471 0.268938i
\(88\) −1.23105 6.83752i −0.131230 0.728882i
\(89\) 6.14285 4.89876i 0.651141 0.519268i −0.241289 0.970453i \(-0.577570\pi\)
0.892430 + 0.451186i \(0.148999\pi\)
\(90\) 2.91094 4.86699i 0.306840 0.513025i
\(91\) 0.445426 + 0.689935i 0.0466933 + 0.0723249i
\(92\) −1.02429 3.72485i −0.106790 0.388342i
\(93\) −7.81309 3.76259i −0.810180 0.390162i
\(94\) 2.50369 + 18.5474i 0.258236 + 1.91301i
\(95\) 2.48366 5.15738i 0.254819 0.529136i
\(96\) −5.10230 + 2.44265i −0.520751 + 0.249302i
\(97\) 11.4209i 1.15961i −0.814754 0.579807i \(-0.803128\pi\)
0.814754 0.579807i \(-0.196872\pi\)
\(98\) −9.77503 + 1.56485i −0.987427 + 0.158074i
\(99\) 2.45630i 0.246867i
\(100\) −16.7024 + 14.5652i −1.67024 + 1.45652i
\(101\) −5.62532 + 11.6811i −0.559740 + 1.16231i 0.408608 + 0.912710i \(0.366014\pi\)
−0.968348 + 0.249602i \(0.919700\pi\)
\(102\) 2.27665 0.307323i 0.225422 0.0304295i
\(103\) −11.8653 5.71403i −1.16912 0.563020i −0.254399 0.967099i \(-0.581878\pi\)
−0.914724 + 0.404080i \(0.867592\pi\)
\(104\) −0.155564 0.864037i −0.0152543 0.0847258i
\(105\) −9.97045 + 3.62685i −0.973016 + 0.353944i
\(106\) 15.7359 + 9.41162i 1.52841 + 0.914137i
\(107\) −13.8868 + 11.0744i −1.34249 + 1.07060i −0.351567 + 0.936163i \(0.614351\pi\)
−0.990922 + 0.134436i \(0.957078\pi\)
\(108\) −1.92842 + 0.530294i −0.185562 + 0.0510275i
\(109\) 6.29295 7.89110i 0.602755 0.755831i −0.383050 0.923728i \(-0.625126\pi\)
0.985805 + 0.167897i \(0.0536976\pi\)
\(110\) −4.31067 + 13.2461i −0.411007 + 1.26296i
\(111\) −4.68780 + 5.87832i −0.444946 + 0.557945i
\(112\) 10.2887 + 2.47864i 0.972186 + 0.234209i
\(113\) 3.58841 + 4.49973i 0.337569 + 0.423299i 0.921423 0.388560i \(-0.127027\pi\)
−0.583854 + 0.811859i \(0.698456\pi\)
\(114\) −1.89036 + 0.708468i −0.177048 + 0.0663541i
\(115\) −1.72357 + 7.55146i −0.160724 + 0.704177i
\(116\) 6.31276 + 1.15162i 0.586125 + 0.106925i
\(117\) 0.310395i 0.0286960i
\(118\) 3.62367 11.1350i 0.333586 1.02506i
\(119\) −3.66690 2.24173i −0.336144 0.205499i
\(120\) 11.3300 + 0.524554i 1.03428 + 0.0478850i
\(121\) −1.10517 4.84208i −0.100470 0.440189i
\(122\) −7.20173 + 4.74905i −0.652014 + 0.429959i
\(123\) 0.610787 0.487086i 0.0550728 0.0439191i
\(124\) −0.762129 17.3270i −0.0684412 1.55601i
\(125\) 23.7720 5.42581i 2.12624 0.485299i
\(126\) 3.42475 + 1.50702i 0.305101 + 0.134256i
\(127\) −2.78399 0.635427i −0.247039 0.0563850i 0.0972083 0.995264i \(-0.469009\pi\)
−0.344247 + 0.938879i \(0.611866\pi\)
\(128\) −9.13145 6.67957i −0.807114 0.590396i
\(129\) 10.0852i 0.887952i
\(130\) −0.544727 + 1.67387i −0.0477757 + 0.146808i
\(131\) −6.09532 + 2.93535i −0.532551 + 0.256463i −0.680777 0.732490i \(-0.738358\pi\)
0.148226 + 0.988953i \(0.452644\pi\)
\(132\) 4.32815 2.32393i 0.376718 0.202272i
\(133\) 3.57986 + 1.20351i 0.310413 + 0.104357i
\(134\) −6.21309 5.94581i −0.536729 0.513640i
\(135\) 3.90952 + 0.892322i 0.336478 + 0.0767988i
\(136\) 2.69549 + 3.72084i 0.231136 + 0.319060i
\(137\) −10.6423 + 5.12507i −0.909234 + 0.437864i −0.829215 0.558929i \(-0.811212\pi\)
−0.0800187 + 0.996793i \(0.525498\pi\)
\(138\) 2.28044 1.50380i 0.194124 0.128012i
\(139\) −13.3669 6.43717i −1.13377 0.545993i −0.229648 0.973274i \(-0.573757\pi\)
−0.904119 + 0.427281i \(0.859472\pi\)
\(140\) −15.8239 14.1372i −1.33736 1.19481i
\(141\) −11.9233 + 5.74198i −1.00413 + 0.483562i
\(142\) −0.732192 + 1.22420i −0.0614442 + 0.102733i
\(143\) 0.169655 + 0.743307i 0.0141873 + 0.0621584i
\(144\) −2.75891 2.89628i −0.229909 0.241357i
\(145\) −10.0592 8.02192i −0.835369 0.666184i
\(146\) 0.919873 10.1681i 0.0761292 0.841514i
\(147\) −3.19116 6.23029i −0.263203 0.513865i
\(148\) −14.7932 2.69867i −1.21599 0.221829i
\(149\) 4.61083 5.78180i 0.377734 0.473664i −0.556231 0.831028i \(-0.687753\pi\)
0.933965 + 0.357364i \(0.116324\pi\)
\(150\) −13.4484 8.04348i −1.09806 0.656747i
\(151\) 4.54522 1.03742i 0.369885 0.0844238i −0.0335381 0.999437i \(-0.510678\pi\)
0.403423 + 0.915014i \(0.367820\pi\)
\(152\) −3.03685 2.66064i −0.246321 0.215807i
\(153\) 0.704816 + 1.46357i 0.0569810 + 0.118322i
\(154\) −9.02498 1.73700i −0.727254 0.139971i
\(155\) −15.0882 + 31.3309i −1.21191 + 2.51656i
\(156\) 0.546936 0.293668i 0.0437899 0.0235123i
\(157\) 8.25140 + 17.1342i 0.658533 + 1.36746i 0.916003 + 0.401172i \(0.131397\pi\)
−0.257470 + 0.966286i \(0.582889\pi\)
\(158\) −0.243884 0.233392i −0.0194023 0.0185677i
\(159\) −2.88505 + 12.6402i −0.228799 + 1.00243i
\(160\) 9.79515 + 20.4605i 0.774375 + 1.61755i
\(161\) −5.08493 0.509778i −0.400749 0.0401761i
\(162\) −0.778541 1.18062i −0.0611680 0.0927586i
\(163\) −8.58643 17.8299i −0.672541 1.39655i −0.905621 0.424088i \(-0.860595\pi\)
0.233080 0.972458i \(-0.425120\pi\)
\(164\) 1.43615 + 0.615408i 0.112144 + 0.0480553i
\(165\) −9.84989 −0.766813
\(166\) −1.00350 0.0907839i −0.0778869 0.00704619i
\(167\) 3.53936 15.5069i 0.273884 1.19996i −0.631503 0.775374i \(-0.717561\pi\)
0.905386 0.424589i \(-0.139581\pi\)
\(168\) 0.584718 + 7.46044i 0.0451120 + 0.575585i
\(169\) −2.87133 12.5801i −0.220872 0.967703i
\(170\) −1.23238 9.12950i −0.0945195 0.700200i
\(171\) −0.890017 1.11605i −0.0680613 0.0853462i
\(172\) −17.7708 + 9.54172i −1.35501 + 0.727549i
\(173\) 4.54378 1.03709i 0.345457 0.0788483i −0.0462722 0.998929i \(-0.514734\pi\)
0.391729 + 0.920081i \(0.371877\pi\)
\(174\) 0.607003 + 4.49668i 0.0460168 + 0.340893i
\(175\) 10.0217 + 27.5503i 0.757568 + 2.08260i
\(176\) 8.18983 + 5.42780i 0.617332 + 0.409136i
\(177\) 8.28008 0.622369
\(178\) −1.00113 + 11.0663i −0.0750382 + 0.829454i
\(179\) −21.7558 4.96563i −1.62611 0.371148i −0.690262 0.723559i \(-0.742505\pi\)
−0.935845 + 0.352411i \(0.885362\pi\)
\(180\) 2.12651 + 7.73306i 0.158501 + 0.576388i
\(181\) 9.90551 7.89938i 0.736271 0.587157i −0.181911 0.983315i \(-0.558228\pi\)
0.918182 + 0.396158i \(0.129657\pi\)
\(182\) −1.14046 0.219499i −0.0845366 0.0162703i
\(183\) −4.76912 3.80325i −0.352544 0.281144i
\(184\) 4.80734 + 2.59553i 0.354402 + 0.191345i
\(185\) 23.5724 + 18.7983i 1.73308 + 1.38208i
\(186\) 11.4839 4.30392i 0.842038 0.315579i
\(187\) −2.48778 3.11958i −0.181925 0.228126i
\(188\) −21.3985 15.5772i −1.56065 1.13608i
\(189\) −0.263921 + 2.63256i −0.0191974 + 0.191490i
\(190\) 2.84100 + 7.58044i 0.206108 + 0.549943i
\(191\) −4.06851 + 8.44835i −0.294387 + 0.611301i −0.994733 0.102503i \(-0.967315\pi\)
0.700346 + 0.713804i \(0.253029\pi\)
\(192\) 2.49320 7.60158i 0.179931 0.548596i
\(193\) 1.83402 + 0.883216i 0.132015 + 0.0635752i 0.498725 0.866760i \(-0.333802\pi\)
−0.366710 + 0.930335i \(0.619516\pi\)
\(194\) 11.6691 + 11.1671i 0.837793 + 0.801753i
\(195\) −1.24470 −0.0891349
\(196\) 7.95898 11.5176i 0.568499 0.822684i
\(197\) −10.1400 −0.722445 −0.361223 0.932480i \(-0.617641\pi\)
−0.361223 + 0.932480i \(0.617641\pi\)
\(198\) 2.50968 + 2.40172i 0.178355 + 0.170683i
\(199\) −13.6421 6.56970i −0.967065 0.465714i −0.117428 0.993081i \(-0.537465\pi\)
−0.849637 + 0.527367i \(0.823179\pi\)
\(200\) 1.44944 31.3070i 0.102491 2.21374i
\(201\) 2.63841 5.47872i 0.186099 0.386439i
\(202\) −6.43465 17.1691i −0.452740 1.20802i
\(203\) 4.42772 7.24261i 0.310765 0.508332i
\(204\) −1.91206 + 2.62663i −0.133871 + 0.183901i
\(205\) −1.95324 2.44929i −0.136420 0.171066i
\(206\) 17.4399 6.53612i 1.21509 0.455393i
\(207\) 1.51015 + 1.20431i 0.104963 + 0.0837051i
\(208\) 1.03492 + 0.685895i 0.0717591 + 0.0475582i
\(209\) 2.74134 + 2.18615i 0.189622 + 0.151219i
\(210\) 6.04324 13.7334i 0.417023 0.947696i
\(211\) 18.9683 15.1267i 1.30583 1.04137i 0.309947 0.950754i \(-0.399689\pi\)
0.995886 0.0906129i \(-0.0288826\pi\)
\(212\) −25.0025 + 6.87541i −1.71718 + 0.472205i
\(213\) −0.983366 0.224447i −0.0673791 0.0153789i
\(214\) 2.26321 25.0170i 0.154710 1.71012i
\(215\) 40.4422 2.75814
\(216\) 1.34375 2.48884i 0.0914307 0.169344i
\(217\) −21.7475 7.31128i −1.47632 0.496322i
\(218\) 1.90949 + 14.1455i 0.129327 + 0.958054i
\(219\) 7.03826 1.60644i 0.475601 0.108553i
\(220\) −9.31909 17.3561i −0.628293 1.17015i
\(221\) −0.314374 0.394212i −0.0211471 0.0265176i
\(222\) −1.42243 10.5374i −0.0954676 0.707224i
\(223\) 3.67471 + 16.1000i 0.246077 + 1.07813i 0.935376 + 0.353656i \(0.115062\pi\)
−0.689299 + 0.724477i \(0.742081\pi\)
\(224\) −12.5926 + 8.08871i −0.841376 + 0.540450i
\(225\) 2.46566 10.8027i 0.164377 0.720183i
\(226\) −8.10621 0.733345i −0.539217 0.0487814i
\(227\) 19.7568 1.31130 0.655652 0.755063i \(-0.272394\pi\)
0.655652 + 0.755063i \(0.272394\pi\)
\(228\) 1.12449 2.62417i 0.0744712 0.173790i
\(229\) 2.73774 + 5.68497i 0.180915 + 0.375673i 0.971628 0.236513i \(-0.0760046\pi\)
−0.790714 + 0.612186i \(0.790290\pi\)
\(230\) −6.03031 9.14471i −0.397627 0.602984i
\(231\) −0.806881 6.44846i −0.0530889 0.424278i
\(232\) −7.34915 + 5.32394i −0.482496 + 0.349534i
\(233\) −1.42205 + 6.23043i −0.0931619 + 0.408169i −0.999909 0.0135064i \(-0.995701\pi\)
0.906747 + 0.421675i \(0.138558\pi\)
\(234\) 0.317141 + 0.303499i 0.0207322 + 0.0198403i
\(235\) 23.0257 + 47.8133i 1.50203 + 3.11899i
\(236\) 7.83388 + 14.5900i 0.509942 + 0.949731i
\(237\) 0.103566 0.215057i 0.00672734 0.0139695i
\(238\) 5.87589 1.55468i 0.380877 0.100775i
\(239\) 9.10570 + 18.9082i 0.588999 + 1.22307i 0.956142 + 0.292904i \(0.0946215\pi\)
−0.367143 + 0.930164i \(0.619664\pi\)
\(240\) −11.6142 + 11.0634i −0.749696 + 0.714138i
\(241\) 24.3406 5.55558i 1.56791 0.357866i 0.651676 0.758498i \(-0.274066\pi\)
0.916239 + 0.400632i \(0.131209\pi\)
\(242\) 6.02795 + 3.60531i 0.387491 + 0.231758i
\(243\) 0.623490 0.781831i 0.0399969 0.0501545i
\(244\) 2.18945 12.0018i 0.140165 0.768336i
\(245\) −24.9838 + 12.7967i −1.59616 + 0.817554i
\(246\) −0.0995432 + 1.10033i −0.00634664 + 0.0701542i
\(247\) 0.346415 + 0.276257i 0.0220419 + 0.0175778i
\(248\) 18.4488 + 16.1633i 1.17150 + 1.02637i
\(249\) −0.158542 0.694618i −0.0100472 0.0440196i
\(250\) −17.7001 + 29.5940i −1.11945 + 1.87169i
\(251\) 18.0922 8.71273i 1.14197 0.549943i 0.235356 0.971909i \(-0.424374\pi\)
0.906611 + 0.421966i \(0.138660\pi\)
\(252\) −4.88843 + 2.02564i −0.307942 + 0.127604i
\(253\) −4.27463 2.05855i −0.268743 0.129420i
\(254\) 3.37137 2.22319i 0.211539 0.139495i
\(255\) 5.86898 2.82635i 0.367530 0.176993i
\(256\) 15.7533 2.79876i 0.984582 0.174922i
\(257\) −19.9692 4.55783i −1.24564 0.284310i −0.451627 0.892207i \(-0.649156\pi\)
−0.794016 + 0.607897i \(0.792013\pi\)
\(258\) −10.3044 9.86112i −0.641524 0.613927i
\(259\) −10.3758 + 16.9721i −0.644720 + 1.05460i
\(260\) −1.17763 2.19325i −0.0730333 0.136019i
\(261\) −2.89073 + 1.39210i −0.178932 + 0.0861691i
\(262\) 2.96074 9.09794i 0.182915 0.562073i
\(263\) 25.2707i 1.55826i −0.626863 0.779129i \(-0.715661\pi\)
0.626863 0.779129i \(-0.284339\pi\)
\(264\) −1.85755 + 6.69452i −0.114324 + 0.412019i
\(265\) 50.6880 + 11.5692i 3.11374 + 0.710690i
\(266\) −4.72999 + 2.48090i −0.290014 + 0.152114i
\(267\) −7.66001 + 1.74835i −0.468785 + 0.106997i
\(268\) 12.1501 0.534422i 0.742185 0.0326450i
\(269\) −0.630154 + 0.502531i −0.0384212 + 0.0306399i −0.642512 0.766276i \(-0.722108\pi\)
0.604091 + 0.796915i \(0.293536\pi\)
\(270\) −4.73437 + 3.12199i −0.288125 + 0.189999i
\(271\) 0.726522 + 3.18310i 0.0441331 + 0.193360i 0.992189 0.124744i \(-0.0398111\pi\)
−0.948056 + 0.318104i \(0.896954\pi\)
\(272\) −6.43731 0.884101i −0.390320 0.0536065i
\(273\) −0.101963 0.814874i −0.00617110 0.0493184i
\(274\) 5.16940 15.8848i 0.312295 0.959637i
\(275\) 27.2171i 1.64125i
\(276\) −0.693295 + 3.80039i −0.0417314 + 0.228757i
\(277\) 0.236966 1.03822i 0.0142379 0.0623804i −0.967310 0.253597i \(-0.918386\pi\)
0.981548 + 0.191217i \(0.0612434\pi\)
\(278\) 19.6470 7.36330i 1.17835 0.441621i
\(279\) 5.40683 + 6.77995i 0.323698 + 0.405905i
\(280\) 29.9168 2.34475i 1.78787 0.140126i
\(281\) 7.29942 9.15318i 0.435447 0.546033i −0.514890 0.857256i \(-0.672167\pi\)
0.950337 + 0.311223i \(0.100739\pi\)
\(282\) 5.79165 17.7969i 0.344888 1.05979i
\(283\) −3.85859 + 4.83852i −0.229370 + 0.287620i −0.883176 0.469041i \(-0.844600\pi\)
0.653807 + 0.756662i \(0.273171\pi\)
\(284\) −0.534883 1.94511i −0.0317395 0.115421i
\(285\) −4.47541 + 3.56902i −0.265100 + 0.211410i
\(286\) −0.925348 0.553449i −0.0547170 0.0327262i
\(287\) 1.44348 1.47938i 0.0852059 0.0873249i
\(288\) 5.65684 + 0.0130561i 0.333332 + 0.000769338i
\(289\) −12.9390 6.23110i −0.761118 0.366535i
\(290\) 18.0319 2.43412i 1.05887 0.142936i
\(291\) −4.95533 + 10.2899i −0.290487 + 0.603202i
\(292\) 9.48962 + 10.8820i 0.555338 + 0.636821i
\(293\) 6.07355i 0.354821i 0.984137 + 0.177410i \(0.0567720\pi\)
−0.984137 + 0.177410i \(0.943228\pi\)
\(294\) 9.48596 + 2.83134i 0.553233 + 0.165127i
\(295\) 33.2036i 1.93319i
\(296\) 17.2218 12.4760i 1.00100 0.725151i
\(297\) −1.06575 + 2.21305i −0.0618409 + 0.128414i
\(298\) 1.39908 + 10.3644i 0.0810466 + 0.600393i
\(299\) −0.540172 0.260133i −0.0312390 0.0150439i
\(300\) 21.3679 5.87595i 1.23368 0.339248i
\(301\) 3.31294 + 26.4765i 0.190955 + 1.52608i
\(302\) −3.38427 + 5.65838i −0.194743 + 0.325603i
\(303\) 10.1365 8.08357i 0.582325 0.464389i
\(304\) 5.68785 0.501331i 0.326221 0.0287533i
\(305\) −15.2512 + 19.1244i −0.873283 + 1.09506i
\(306\) −2.18453 0.710913i −0.124881 0.0406402i
\(307\) −2.70001 + 3.38571i −0.154098 + 0.193233i −0.852888 0.522094i \(-0.825151\pi\)
0.698790 + 0.715327i \(0.253722\pi\)
\(308\) 10.5992 7.52274i 0.603946 0.428648i
\(309\) 8.21104 + 10.2963i 0.467110 + 0.585737i
\(310\) −17.2590 46.0510i −0.980243 2.61552i
\(311\) −4.85399 + 21.2667i −0.275244 + 1.20592i 0.628485 + 0.777821i \(0.283675\pi\)
−0.903730 + 0.428103i \(0.859182\pi\)
\(312\) −0.234733 + 0.845967i −0.0132892 + 0.0478935i
\(313\) 33.2539i 1.87962i −0.341697 0.939810i \(-0.611002\pi\)
0.341697 0.939810i \(-0.388998\pi\)
\(314\) −25.5747 8.32277i −1.44326 0.469681i
\(315\) 10.5567 + 1.05834i 0.594802 + 0.0596305i
\(316\) 0.476930 0.0209778i 0.0268294 0.00118009i
\(317\) −3.73011 16.3427i −0.209504 0.917897i −0.964898 0.262626i \(-0.915411\pi\)
0.755394 0.655271i \(-0.227446\pi\)
\(318\) −10.0940 15.3071i −0.566044 0.858381i
\(319\) 6.16158 4.91370i 0.344982 0.275114i
\(320\) −30.4828 9.99787i −1.70404 0.558898i
\(321\) 17.3166 3.95239i 0.966517 0.220601i
\(322\) 5.49281 4.69700i 0.306102 0.261754i
\(323\) −2.26071 0.515991i −0.125789 0.0287105i
\(324\) 1.96753 + 0.358930i 0.109307 + 0.0199406i
\(325\) 3.43935i 0.190781i
\(326\) 26.6131 + 8.66070i 1.47396 + 0.479672i
\(327\) −9.09357 + 4.37923i −0.502876 + 0.242172i
\(328\) −2.03302 + 0.865629i −0.112255 + 0.0477964i
\(329\) −29.4159 + 18.9911i −1.62175 + 1.04701i
\(330\) 9.63104 10.0640i 0.530171 0.554004i
\(331\) 9.44019 + 2.15466i 0.518880 + 0.118431i 0.473937 0.880559i \(-0.342832\pi\)
0.0449426 + 0.998990i \(0.485690\pi\)
\(332\) 1.07396 0.936547i 0.0589414 0.0513997i
\(333\) 6.77407 3.26222i 0.371217 0.178769i
\(334\) 12.3833 + 18.7787i 0.677582 + 1.02752i
\(335\) −21.9700 10.5802i −1.20035 0.578057i
\(336\) −8.19432 6.69725i −0.447037 0.365365i
\(337\) 21.3686 10.2906i 1.16402 0.560564i 0.250806 0.968037i \(-0.419304\pi\)
0.913217 + 0.407473i \(0.133590\pi\)
\(338\) 15.6611 + 9.36688i 0.851852 + 0.509491i
\(339\) −1.28069 5.61107i −0.0695575 0.304751i
\(340\) 10.5329 + 7.66749i 0.571228 + 0.415828i
\(341\) −16.6536 13.2808i −0.901841 0.719194i
\(342\) 2.01055 + 0.181888i 0.108718 + 0.00983538i
\(343\) −10.4243 15.3080i −0.562860 0.826552i
\(344\) 7.62684 27.4867i 0.411212 1.48199i
\(345\) 4.82934 6.05580i 0.260003 0.326033i
\(346\) −3.38320 + 5.65658i −0.181882 + 0.304100i
\(347\) −6.41533 + 1.46426i −0.344393 + 0.0786054i −0.391219 0.920298i \(-0.627946\pi\)
0.0468261 + 0.998903i \(0.485089\pi\)
\(348\) −5.18793 3.77658i −0.278102 0.202446i
\(349\) 0.515468 + 1.07038i 0.0275923 + 0.0572961i 0.914309 0.405016i \(-0.132734\pi\)
−0.886717 + 0.462312i \(0.847020\pi\)
\(350\) −37.9481 16.6986i −2.02841 0.892580i
\(351\) −0.134675 + 0.279656i −0.00718844 + 0.0149269i
\(352\) −13.5536 + 3.06063i −0.722411 + 0.163132i
\(353\) −8.80931 18.2927i −0.468872 0.973623i −0.992565 0.121716i \(-0.961160\pi\)
0.523693 0.851907i \(-0.324554\pi\)
\(354\) −8.09611 + 8.46005i −0.430304 + 0.449647i
\(355\) −0.900045 + 3.94335i −0.0477694 + 0.209292i
\(356\) −10.3279 11.8433i −0.547379 0.627694i
\(357\) 2.33111 + 3.61074i 0.123376 + 0.191101i
\(358\) 26.3460 17.3734i 1.39243 0.918213i
\(359\) −9.12727 18.9530i −0.481719 1.00030i −0.990256 0.139259i \(-0.955528\pi\)
0.508537 0.861040i \(-0.330186\pi\)
\(360\) −9.98040 5.38852i −0.526013 0.284000i
\(361\) −16.9623 −0.892753
\(362\) −1.61436 + 17.8447i −0.0848486 + 0.937896i
\(363\) −1.10517 + 4.84208i −0.0580066 + 0.254144i
\(364\) 1.33939 0.950627i 0.0702032 0.0498264i
\(365\) −6.44190 28.2238i −0.337185 1.47730i
\(366\) 8.54907 1.15403i 0.446867 0.0603222i
\(367\) −8.17245 10.2479i −0.426599 0.534938i 0.521358 0.853338i \(-0.325426\pi\)
−0.947956 + 0.318401i \(0.896854\pi\)
\(368\) −7.35248 + 2.37396i −0.383274 + 0.123751i
\(369\) −0.761638 + 0.173839i −0.0396493 + 0.00904970i
\(370\) −42.2556 + 5.70404i −2.19676 + 0.296539i
\(371\) −3.42180 + 34.1318i −0.177651 + 1.77204i
\(372\) −6.83125 + 15.9418i −0.354184 + 0.826542i
\(373\) 27.6235 1.43029 0.715146 0.698975i \(-0.246360\pi\)
0.715146 + 0.698975i \(0.246360\pi\)
\(374\) 5.61990 + 0.508415i 0.290598 + 0.0262895i
\(375\) −23.7720 5.42581i −1.22758 0.280188i
\(376\) 36.8388 6.63258i 1.89982 0.342049i
\(377\) 0.778621 0.620930i 0.0401010 0.0319795i
\(378\) −2.43172 2.84372i −0.125074 0.146265i
\(379\) 9.78249 + 7.80128i 0.502493 + 0.400725i 0.841665 0.539999i \(-0.181576\pi\)
−0.339172 + 0.940724i \(0.610147\pi\)
\(380\) −10.5231 4.50927i −0.539822 0.231321i
\(381\) 2.23258 + 1.78043i 0.114379 + 0.0912140i
\(382\) −4.65386 12.4176i −0.238112 0.635339i
\(383\) −23.7990 29.8430i −1.21607 1.52491i −0.781028 0.624496i \(-0.785304\pi\)
−0.435044 0.900409i \(-0.643267\pi\)
\(384\) 5.32899 + 9.98007i 0.271944 + 0.509293i
\(385\) −25.8587 + 3.23564i −1.31788 + 0.164903i
\(386\) −2.69568 + 1.01029i −0.137207 + 0.0514222i
\(387\) 4.37580 9.08645i 0.222435 0.461890i
\(388\) −22.8197 + 1.00372i −1.15849 + 0.0509564i
\(389\) −11.1236 5.35685i −0.563990 0.271603i 0.130089 0.991502i \(-0.458474\pi\)
−0.694079 + 0.719899i \(0.744188\pi\)
\(390\) 1.21705 1.27176i 0.0616276 0.0643978i
\(391\) 3.13769 0.158680
\(392\) 3.98577 + 19.3937i 0.201312 + 0.979527i
\(393\) 6.76530 0.341264
\(394\) 9.91471 10.3604i 0.499496 0.521949i
\(395\) −0.862392 0.415306i −0.0433916 0.0208963i
\(396\) −4.90785 + 0.215872i −0.246629 + 0.0108480i
\(397\) −4.76734 + 9.89948i −0.239266 + 0.496840i −0.985677 0.168645i \(-0.946061\pi\)
0.746411 + 0.665485i \(0.231775\pi\)
\(398\) 20.0515 7.51491i 1.00509 0.376688i
\(399\) −2.70316 2.63757i −0.135327 0.132043i
\(400\) 30.5702 + 32.0924i 1.52851 + 1.60462i
\(401\) −13.2547 16.6208i −0.661907 0.830005i 0.331642 0.943405i \(-0.392397\pi\)
−0.993549 + 0.113400i \(0.963826\pi\)
\(402\) 3.01801 + 8.05275i 0.150524 + 0.401634i
\(403\) −2.10446 1.67825i −0.104831 0.0835997i
\(404\) 23.8340 + 10.2132i 1.18579 + 0.508124i
\(405\) −3.13519 2.50023i −0.155789 0.124237i
\(406\) 3.07069 + 11.6056i 0.152396 + 0.575979i
\(407\) −14.4389 + 11.5146i −0.715709 + 0.570759i
\(408\) −0.814136 4.52189i −0.0403057 0.223867i
\(409\) 3.81724 + 0.871260i 0.188750 + 0.0430810i 0.315851 0.948809i \(-0.397710\pi\)
−0.127101 + 0.991890i \(0.540567\pi\)
\(410\) 4.41237 + 0.399174i 0.217911 + 0.0197138i
\(411\) 11.8121 0.582647
\(412\) −10.3742 + 24.2098i −0.511102 + 1.19273i
\(413\) 21.7375 2.71997i 1.06963 0.133841i
\(414\) −2.70708 + 0.365427i −0.133046 + 0.0179597i
\(415\) −2.78546 + 0.635762i −0.136733 + 0.0312084i
\(416\) −1.71273 + 0.386763i −0.0839737 + 0.0189626i
\(417\) 9.25019 + 11.5994i 0.452984 + 0.568024i
\(418\) −4.91409 + 0.663349i −0.240356 + 0.0324455i
\(419\) −1.12680 4.93683i −0.0550478 0.241180i 0.939917 0.341402i \(-0.110902\pi\)
−0.994965 + 0.100222i \(0.968045\pi\)
\(420\) 8.12295 + 19.6029i 0.396359 + 0.956523i
\(421\) 3.41276 14.9523i 0.166328 0.728729i −0.821117 0.570761i \(-0.806648\pi\)
0.987444 0.157968i \(-0.0504944\pi\)
\(422\) −3.09137 + 34.1712i −0.150485 + 1.66343i
\(423\) 13.2339 0.643455
\(424\) 17.4221 32.2685i 0.846092 1.56710i
\(425\) −7.80975 16.2171i −0.378829 0.786646i
\(426\) 1.19084 0.785280i 0.0576965 0.0380469i
\(427\) −13.7696 8.41795i −0.666359 0.407373i
\(428\) 23.3478 + 26.7735i 1.12856 + 1.29415i
\(429\) 0.169655 0.743307i 0.00819102 0.0358872i
\(430\) −39.5437 + 41.3212i −1.90697 + 1.99269i
\(431\) 15.8523 + 32.9176i 0.763578 + 1.58559i 0.809836 + 0.586656i \(0.199556\pi\)
−0.0462587 + 0.998929i \(0.514730\pi\)
\(432\) 1.22904 + 3.80650i 0.0591323 + 0.183140i
\(433\) −10.4384 + 21.6756i −0.501639 + 1.04167i 0.484353 + 0.874873i \(0.339055\pi\)
−0.985992 + 0.166792i \(0.946659\pi\)
\(434\) 28.7345 15.0714i 1.37930 0.723450i
\(435\) 5.58242 + 11.5920i 0.267656 + 0.555794i
\(436\) −16.3200 11.8802i −0.781587 0.568960i
\(437\) −2.68812 + 0.613547i −0.128590 + 0.0293499i
\(438\) −5.24053 + 8.76198i −0.250402 + 0.418664i
\(439\) −11.4721 + 14.3855i −0.547531 + 0.686583i −0.976198 0.216880i \(-0.930412\pi\)
0.428667 + 0.903463i \(0.358983\pi\)
\(440\) 26.8454 + 7.44889i 1.27981 + 0.355112i
\(441\) 0.171916 + 6.99789i 0.00818649 + 0.333233i
\(442\) 0.710170 + 0.0642469i 0.0337793 + 0.00305591i
\(443\) 8.95941 + 7.14489i 0.425674 + 0.339464i 0.812779 0.582572i \(-0.197953\pi\)
−0.387105 + 0.922036i \(0.626525\pi\)
\(444\) 12.1573 + 8.84993i 0.576958 + 0.419999i
\(445\) 7.01098 + 30.7171i 0.332352 + 1.45613i
\(446\) −20.0430 11.9877i −0.949062 0.567633i
\(447\) −6.66285 + 3.20866i −0.315142 + 0.151764i
\(448\) 4.04826 20.7753i 0.191262 0.981539i
\(449\) 23.3309 + 11.2356i 1.10106 + 0.530240i 0.893990 0.448087i \(-0.147894\pi\)
0.207065 + 0.978327i \(0.433609\pi\)
\(450\) 8.62667 + 13.0820i 0.406665 + 0.616690i
\(451\) 1.72889 0.832589i 0.0814102 0.0392051i
\(452\) 8.67539 7.56535i 0.408056 0.355844i
\(453\) −4.54522 1.03742i −0.213553 0.0487421i
\(454\) −19.3178 + 20.1862i −0.906631 + 0.947386i
\(455\) −3.26769 + 0.408878i −0.153192 + 0.0191685i
\(456\) 1.58170 + 3.71480i 0.0740699 + 0.173961i
\(457\) 15.5292 7.47849i 0.726427 0.349829i −0.0338506 0.999427i \(-0.510777\pi\)
0.760278 + 0.649598i \(0.225063\pi\)
\(458\) −8.48544 2.76142i −0.396499 0.129033i
\(459\) 1.62444i 0.0758222i
\(460\) 15.2398 + 2.78015i 0.710559 + 0.129625i
\(461\) −32.6354 7.44882i −1.51998 0.346926i −0.620613 0.784117i \(-0.713116\pi\)
−0.899369 + 0.437191i \(0.855973\pi\)
\(462\) 7.37758 + 5.48077i 0.343236 + 0.254989i
\(463\) 17.4932 3.99271i 0.812978 0.185557i 0.204232 0.978922i \(-0.434530\pi\)
0.608745 + 0.793366i \(0.291673\pi\)
\(464\) 1.74621 12.7145i 0.0810660 0.590258i
\(465\) 27.1880 21.6817i 1.26081 1.00546i
\(466\) −4.97539 7.54496i −0.230480 0.349514i
\(467\) −0.764367 3.34891i −0.0353707 0.154969i 0.954159 0.299302i \(-0.0967537\pi\)
−0.989529 + 0.144332i \(0.953897\pi\)
\(468\) −0.620190 + 0.0272791i −0.0286683 + 0.00126098i
\(469\) 5.12683 15.2499i 0.236735 0.704173i
\(470\) −71.3666 23.2248i −3.29190 1.07128i
\(471\) 19.0175i 0.876281i
\(472\) −22.5670 6.26174i −1.03873 0.288220i
\(473\) −5.51234 + 24.1511i −0.253458 + 1.11047i
\(474\) 0.118466 + 0.316096i 0.00544134 + 0.0145188i
\(475\) 9.86188 + 12.3664i 0.452494 + 0.567410i
\(476\) −4.15687 + 7.52374i −0.190530 + 0.344850i
\(477\) 8.08372 10.1367i 0.370128 0.464126i
\(478\) −28.2225 9.18446i −1.29087 0.420087i
\(479\) 7.47224 9.36989i 0.341415 0.428121i −0.581249 0.813726i \(-0.697436\pi\)
0.922664 + 0.385605i \(0.126007\pi\)
\(480\) 0.0523557 22.6842i 0.00238970 1.03539i
\(481\) −1.82460 + 1.45507i −0.0831946 + 0.0663455i
\(482\) −18.1235 + 30.3018i −0.825501 + 1.38021i
\(483\) 4.36018 + 2.66556i 0.198395 + 0.121287i
\(484\) −9.57769 + 2.63376i −0.435349 + 0.119716i
\(485\) 41.2629 + 19.8712i 1.87365 + 0.902303i
\(486\) 0.189188 + 1.40150i 0.00858172 + 0.0635734i
\(487\) 10.1187 21.0117i 0.458522 0.952131i −0.535662 0.844433i \(-0.679938\pi\)
0.994184 0.107698i \(-0.0343479\pi\)
\(488\) 10.1219 + 13.9722i 0.458195 + 0.632491i
\(489\) 19.7897i 0.894921i
\(490\) 11.3538 38.0393i 0.512914 1.71844i
\(491\) 1.71363i 0.0773351i 0.999252 + 0.0386676i \(0.0123113\pi\)
−0.999252 + 0.0386676i \(0.987689\pi\)
\(492\) −1.02691 1.17759i −0.0462967 0.0530897i
\(493\) −2.26138 + 4.69581i −0.101848 + 0.211489i
\(494\) −0.620980 + 0.0838255i −0.0279392 + 0.00377149i
\(495\) 8.87444 + 4.27371i 0.398877 + 0.192089i
\(496\) −34.5535 + 3.04557i −1.55150 + 0.136750i
\(497\) −2.65534 0.266205i −0.119108 0.0119409i
\(498\) 0.864735 + 0.517197i 0.0387497 + 0.0231761i
\(499\) −8.52168 + 6.79581i −0.381483 + 0.304222i −0.795391 0.606096i \(-0.792735\pi\)
0.413909 + 0.910318i \(0.364163\pi\)
\(500\) −12.9303 47.0213i −0.578263 2.10286i
\(501\) −9.91706 + 12.4356i −0.443061 + 0.555581i
\(502\) −8.78810 + 27.0046i −0.392232 + 1.20527i
\(503\) 3.29943 4.13736i 0.147115 0.184476i −0.702814 0.711373i \(-0.748073\pi\)
0.849929 + 0.526898i \(0.176645\pi\)
\(504\) 2.71015 6.97532i 0.120720 0.310705i
\(505\) −32.4156 40.6478i −1.44247 1.80880i
\(506\) 6.28295 2.35472i 0.279311 0.104680i
\(507\) −2.87133 + 12.5801i −0.127520 + 0.558703i
\(508\) −1.02496 + 5.61844i −0.0454750 + 0.249278i
\(509\) 28.6400i 1.26945i 0.772740 + 0.634723i \(0.218886\pi\)
−0.772740 + 0.634723i \(0.781114\pi\)
\(510\) −2.85080 + 8.76010i −0.126236 + 0.387904i
\(511\) 17.9497 6.52938i 0.794047 0.288843i
\(512\) −12.5437 + 18.8323i −0.554359 + 0.832277i
\(513\) 0.317643 + 1.39169i 0.0140243 + 0.0614445i
\(514\) 24.1824 15.9466i 1.06664 0.703376i
\(515\) 41.2888 32.9267i 1.81940 1.45093i
\(516\) 20.1509 0.886338i 0.887094 0.0390189i
\(517\) −31.6914 + 7.23336i −1.39379 + 0.318123i
\(518\) −7.19577 27.1964i −0.316164 1.19494i
\(519\) −4.54378 1.03709i −0.199450 0.0455231i
\(520\) 3.39238 + 0.941294i 0.148766 + 0.0412785i
\(521\) 0.100273i 0.00439303i 0.999998 + 0.00219652i \(0.000699173\pi\)
−0.999998 + 0.00219652i \(0.999301\pi\)
\(522\) 1.40415 4.31474i 0.0614578 0.188851i
\(523\) −40.3558 + 19.4344i −1.76464 + 0.849805i −0.794495 + 0.607270i \(0.792264\pi\)
−0.970143 + 0.242535i \(0.922021\pi\)
\(524\) 6.40072 + 11.9209i 0.279617 + 0.520767i
\(525\) 2.92439 29.1702i 0.127631 1.27309i
\(526\) 25.8200 + 24.7092i 1.12580 + 1.07737i
\(527\) 13.7337 + 3.13463i 0.598250 + 0.136547i
\(528\) −5.02375 8.44371i −0.218631 0.367465i
\(529\) −17.3608 + 8.36054i −0.754819 + 0.363502i
\(530\) −61.3824 + 40.4775i −2.66628 + 1.75823i
\(531\) −7.46010 3.59259i −0.323741 0.155905i
\(532\) 2.09008 7.25857i 0.0906163 0.314699i
\(533\) 0.218475 0.105212i 0.00946318 0.00455723i
\(534\) 5.70347 9.53601i 0.246813 0.412663i
\(535\) −15.8493 69.4404i −0.685226 3.00217i
\(536\) −11.3341 + 12.9367i −0.489558 + 0.558781i
\(537\) 17.4468 + 13.9134i 0.752886 + 0.600407i
\(538\) 0.102700 1.13522i 0.00442769 0.0489426i
\(539\) −4.23658 16.6640i −0.182482 0.717768i
\(540\) 1.43933 7.88990i 0.0619390 0.339527i
\(541\) 6.68064 8.37726i 0.287223 0.360166i −0.617198 0.786808i \(-0.711732\pi\)
0.904421 + 0.426642i \(0.140303\pi\)
\(542\) −3.96267 2.37007i −0.170211 0.101803i
\(543\) −12.3520 + 2.81926i −0.530074 + 0.120986i
\(544\) 7.19761 5.71277i 0.308595 0.244933i
\(545\) 17.5610 + 36.4657i 0.752229 + 1.56202i
\(546\) 0.932283 + 0.692589i 0.0398980 + 0.0296401i
\(547\) 13.8721 28.8058i 0.593130 1.23165i −0.361088 0.932532i \(-0.617594\pi\)
0.954217 0.299115i \(-0.0966913\pi\)
\(548\) 11.1755 + 20.8136i 0.477395 + 0.889115i
\(549\) 2.64666 + 5.49585i 0.112957 + 0.234557i
\(550\) −27.8087 26.6124i −1.18577 1.13476i
\(551\) 1.01915 4.46519i 0.0434173 0.190223i
\(552\) −3.20511 4.42432i −0.136418 0.188312i
\(553\) 0.201245 0.598606i 0.00855779 0.0254553i
\(554\) 0.829081 + 1.25727i 0.0352243 + 0.0534161i
\(555\) −13.0817 27.1644i −0.555287 1.15306i
\(556\) −11.6871 + 27.2737i −0.495645 + 1.15666i
\(557\) 17.2429 0.730606 0.365303 0.930889i \(-0.380965\pi\)
0.365303 + 0.930889i \(0.380965\pi\)
\(558\) −12.2140 1.10496i −0.517060 0.0467769i
\(559\) −0.696578 + 3.05191i −0.0294621 + 0.129082i
\(560\) −26.8564 + 32.8597i −1.13489 + 1.38857i
\(561\) 0.887880 + 3.89006i 0.0374863 + 0.164238i
\(562\) 2.21489 + 16.4079i 0.0934294 + 0.692125i
\(563\) 10.0920 + 12.6550i 0.425328 + 0.533344i 0.947610 0.319428i \(-0.103491\pi\)
−0.522283 + 0.852772i \(0.674919\pi\)
\(564\) 12.5208 + 23.3190i 0.527219 + 0.981908i
\(565\) −22.5007 + 5.13564i −0.946612 + 0.216058i
\(566\) −1.17083 8.67348i −0.0492135 0.364574i
\(567\) 1.38001 2.25734i 0.0579548 0.0947993i
\(568\) 2.51038 + 1.35538i 0.105333 + 0.0568705i
\(569\) −11.6351 −0.487767 −0.243884 0.969805i \(-0.578421\pi\)
−0.243884 + 0.969805i \(0.578421\pi\)
\(570\) 0.729381 8.06240i 0.0305504 0.337697i
\(571\) −26.4896 6.04608i −1.10856 0.253020i −0.371218 0.928546i \(-0.621060\pi\)
−0.737337 + 0.675525i \(0.763917\pi\)
\(572\) 1.47027 0.404308i 0.0614750 0.0169049i
\(573\) 7.33120 5.84644i 0.306265 0.244238i
\(574\) 0.100123 + 2.92136i 0.00417906 + 0.121935i
\(575\) −16.7333 13.3444i −0.697828 0.556499i
\(576\) −5.54449 + 5.76702i −0.231021 + 0.240293i
\(577\) −3.94969 3.14978i −0.164428 0.131127i 0.537819 0.843060i \(-0.319248\pi\)
−0.702247 + 0.711933i \(0.747820\pi\)
\(578\) 19.0181 7.12758i 0.791047 0.296468i
\(579\) −1.26918 1.59150i −0.0527453 0.0661405i
\(580\) −15.1443 + 20.8039i −0.628832 + 0.863835i
\(581\) −0.644396 1.77149i −0.0267340 0.0734936i
\(582\) −5.66827 15.1243i −0.234957 0.626921i
\(583\) −13.8177 + 28.6928i −0.572271 + 1.18833i
\(584\) −20.3973 0.944349i −0.844046 0.0390774i
\(585\) 1.12144 + 0.540056i 0.0463657 + 0.0223286i
\(586\) −6.20556 5.93861i −0.256349 0.245322i
\(587\) −7.71705 −0.318517 −0.159258 0.987237i \(-0.550910\pi\)
−0.159258 + 0.987237i \(0.550910\pi\)
\(588\) −12.1681 + 6.92371i −0.501803 + 0.285529i
\(589\) −12.3789 −0.510064
\(590\) 33.9253 + 32.4659i 1.39668 + 1.33660i
\(591\) 9.13583 + 4.39958i 0.375798 + 0.180975i
\(592\) −4.09203 + 29.7949i −0.168181 + 1.22456i
\(593\) 10.0799 20.9311i 0.413931 0.859537i −0.584896 0.811109i \(-0.698865\pi\)
0.998827 0.0484280i \(-0.0154211\pi\)
\(594\) −1.21908 3.25279i −0.0500194 0.133464i
\(595\) 14.4793 9.34790i 0.593592 0.383226i
\(596\) −11.9577 8.70463i −0.489805 0.356555i
\(597\) 9.44065 + 11.8382i 0.386380 + 0.484505i
\(598\) 0.793958 0.297559i 0.0324673 0.0121681i
\(599\) −10.4273 8.31548i −0.426047 0.339761i 0.386876 0.922132i \(-0.373554\pi\)
−0.812924 + 0.582370i \(0.802125\pi\)
\(600\) −14.8895 + 27.5778i −0.607862 + 1.12586i
\(601\) 22.6026 + 18.0250i 0.921981 + 0.735255i 0.964567 0.263838i \(-0.0849883\pi\)
−0.0425863 + 0.999093i \(0.513560\pi\)
\(602\) −30.2913 22.5033i −1.23458 0.917164i
\(603\) −4.75425 + 3.79139i −0.193608 + 0.154397i
\(604\) −2.47229 8.99049i −0.100596 0.365818i
\(605\) 19.4170 + 4.43181i 0.789415 + 0.180179i
\(606\) −1.65200 + 18.2608i −0.0671077 + 0.741792i
\(607\) 34.5730 1.40327 0.701637 0.712535i \(-0.252453\pi\)
0.701637 + 0.712535i \(0.252453\pi\)
\(608\) −5.04925 + 6.30167i −0.204774 + 0.255567i
\(609\) −7.13169 + 4.60425i −0.288990 + 0.186574i
\(610\) −4.62773 34.2823i −0.187371 1.38805i
\(611\) −4.00475 + 0.914058i −0.162015 + 0.0369788i
\(612\) 2.86236 1.53690i 0.115704 0.0621254i
\(613\) −14.2625 17.8846i −0.576058 0.722354i 0.405377 0.914150i \(-0.367140\pi\)
−0.981435 + 0.191796i \(0.938569\pi\)
\(614\) −0.819274 6.06918i −0.0330632 0.244932i
\(615\) 0.697104 + 3.05421i 0.0281100 + 0.123158i
\(616\) −2.67747 + 18.1852i −0.107878 + 0.732702i
\(617\) −2.10358 + 9.21638i −0.0846869 + 0.371038i −0.999457 0.0329363i \(-0.989514\pi\)
0.914771 + 0.403974i \(0.132371\pi\)
\(618\) −18.5487 1.67805i −0.746139 0.0675009i
\(619\) −7.98330 −0.320876 −0.160438 0.987046i \(-0.551291\pi\)
−0.160438 + 0.987046i \(0.551291\pi\)
\(620\) 63.9274 + 27.3937i 2.56739 + 1.10016i
\(621\) −0.838071 1.74027i −0.0336306 0.0698348i
\(622\) −16.9828 25.7537i −0.680948 1.03263i
\(623\) −19.5354 + 7.10618i −0.782667 + 0.284703i
\(624\) −0.634836 1.06701i −0.0254138 0.0427145i
\(625\) −9.42953 + 41.3135i −0.377181 + 1.65254i
\(626\) 33.9767 + 32.5150i 1.35798 + 1.29956i
\(627\) −1.52133 3.15907i −0.0607560 0.126161i
\(628\) 33.5101 17.9927i 1.33720 0.717987i
\(629\) 5.29926 11.0040i 0.211296 0.438760i
\(630\) −11.4035 + 9.75132i −0.454326 + 0.388502i
\(631\) 17.2327 + 35.7841i 0.686024 + 1.42454i 0.894749 + 0.446569i \(0.147354\pi\)
−0.208725 + 0.977974i \(0.566931\pi\)
\(632\) −0.444900 + 0.507808i −0.0176972 + 0.0201995i
\(633\) −23.6531 + 5.39867i −0.940126 + 0.214578i
\(634\) 20.3451 + 12.1684i 0.808009 + 0.483269i
\(635\) 7.13961 8.95279i 0.283327 0.355281i
\(636\) 25.5096 + 4.65363i 1.01152 + 0.184529i
\(637\) −0.535364 2.10578i −0.0212119 0.0834339i
\(638\) −1.00419 + 11.1000i −0.0397561 + 0.439454i
\(639\) 0.788599 + 0.628886i 0.0311965 + 0.0248784i
\(640\) 40.0207 21.3696i 1.58196 0.844706i
\(641\) −4.96871 21.7693i −0.196252 0.859837i −0.973143 0.230202i \(-0.926061\pi\)
0.776891 0.629635i \(-0.216796\pi\)
\(642\) −12.8935 + 21.5575i −0.508867 + 0.850808i
\(643\) −2.15240 + 1.03654i −0.0848825 + 0.0408773i −0.475843 0.879530i \(-0.657857\pi\)
0.390961 + 0.920407i \(0.372143\pi\)
\(644\) −0.571681 + 10.2048i −0.0225274 + 0.402127i
\(645\) −36.4372 17.5472i −1.43471 0.690921i
\(646\) 2.73768 1.80532i 0.107713 0.0710292i
\(647\) −6.60910 + 3.18278i −0.259831 + 0.125128i −0.559265 0.828989i \(-0.688916\pi\)
0.299434 + 0.954117i \(0.403202\pi\)
\(648\) −2.29055 + 1.65934i −0.0899811 + 0.0651849i
\(649\) 19.8284 + 4.52571i 0.778333 + 0.177649i
\(650\) −3.51410 3.36293i −0.137834 0.131905i
\(651\) 16.4216 + 16.0231i 0.643614 + 0.627996i
\(652\) −34.8708 + 18.7233i −1.36564 + 0.733259i
\(653\) 27.7572 13.3672i 1.08622 0.523097i 0.196921 0.980419i \(-0.436906\pi\)
0.889301 + 0.457322i \(0.151191\pi\)
\(654\) 4.41711 13.5732i 0.172723 0.530752i
\(655\) 27.1292i 1.06003i
\(656\) 1.10341 2.92361i 0.0430810 0.114148i
\(657\) −7.03826 1.60644i −0.274589 0.0626731i
\(658\) 9.35850 48.6244i 0.364832 1.89558i
\(659\) −43.1750 + 9.85441i −1.68186 + 0.383873i −0.953517 0.301341i \(-0.902566\pi\)
−0.728342 + 0.685214i \(0.759709\pi\)
\(660\) 0.865658 + 19.6807i 0.0336957 + 0.766072i
\(661\) −12.6399 + 10.0800i −0.491636 + 0.392067i −0.837688 0.546148i \(-0.816093\pi\)
0.346052 + 0.938215i \(0.387522\pi\)
\(662\) −11.4319 + 7.53858i −0.444315 + 0.292995i
\(663\) 0.112199 + 0.491575i 0.00435744 + 0.0190912i
\(664\) −0.0931994 + 2.01305i −0.00361684 + 0.0781213i
\(665\) −10.5768 + 10.8398i −0.410150 + 0.420350i
\(666\) −3.29044 + 10.1110i −0.127502 + 0.391795i
\(667\) 6.19735i 0.239962i
\(668\) −31.2950 5.70905i −1.21084 0.220890i
\(669\) 3.67471 16.1000i 0.142073 0.622461i
\(670\) 32.2920 12.1024i 1.24755 0.467556i
\(671\) −9.34190 11.7144i −0.360640 0.452229i
\(672\) 14.8551 1.82397i 0.573047 0.0703611i
\(673\) −29.8400 + 37.4182i −1.15025 + 1.44237i −0.273203 + 0.961956i \(0.588083\pi\)
−0.877045 + 0.480409i \(0.840488\pi\)
\(674\) −10.3796 + 31.8950i −0.399807 + 1.22855i
\(675\) −6.90861 + 8.66313i −0.265913 + 0.333444i
\(676\) −24.8836 + 6.84273i −0.957062 + 0.263182i
\(677\) 13.9261 11.1057i 0.535225 0.426828i −0.318215 0.948018i \(-0.603083\pi\)
0.853440 + 0.521191i \(0.174512\pi\)
\(678\) 6.98526 + 4.17788i 0.268267 + 0.160450i
\(679\) −9.62896 + 28.6415i −0.369526 + 1.09916i
\(680\) −18.1330 + 3.26473i −0.695371 + 0.125197i
\(681\) −17.8003 8.57215i −0.682107 0.328486i
\(682\) 29.8530 4.02983i 1.14313 0.154310i
\(683\) −7.92310 + 16.4525i −0.303169 + 0.629537i −0.995780 0.0917746i \(-0.970746\pi\)
0.692611 + 0.721311i \(0.256460\pi\)
\(684\) −2.15172 + 1.87640i −0.0822730 + 0.0717459i
\(685\) 47.3671i 1.80980i
\(686\) 25.8334 + 4.31697i 0.986323 + 0.164823i
\(687\) 6.30984i 0.240735i
\(688\) 20.6268 + 34.6686i 0.786389 + 1.32173i
\(689\) −1.74610 + 3.62582i −0.0665212 + 0.138133i
\(690\) 1.46538 + 10.8556i 0.0557861 + 0.413264i
\(691\) 7.18973 + 3.46239i 0.273510 + 0.131716i 0.565612 0.824672i \(-0.308640\pi\)
−0.292101 + 0.956387i \(0.594354\pi\)
\(692\) −2.47150 8.98763i −0.0939524 0.341659i
\(693\) −2.07091 + 6.15996i −0.0786673 + 0.233997i
\(694\) 4.77671 7.98649i 0.181321 0.303163i
\(695\) 46.5141 37.0938i 1.76438 1.40705i
\(696\) 8.93133 1.60803i 0.338541 0.0609520i
\(697\) −0.791240 + 0.992183i −0.0299703 + 0.0375816i
\(698\) −1.59766 0.519926i −0.0604723 0.0196795i
\(699\) 3.98451 4.99642i 0.150708 0.188982i
\(700\) 54.1665 22.4453i 2.04730 0.848351i
\(701\) −4.45988 5.59251i −0.168447 0.211226i 0.690442 0.723388i \(-0.257416\pi\)
−0.858889 + 0.512162i \(0.828845\pi\)
\(702\) −0.154051 0.411045i −0.00581430 0.0155139i
\(703\) −2.38825 + 10.4636i −0.0900745 + 0.394642i
\(704\) 10.1253 16.8409i 0.381613 0.634714i
\(705\) 53.0687i 1.99868i
\(706\) 27.3039 + 8.88551i 1.02760 + 0.334410i
\(707\) 23.9557 24.5514i 0.900945 0.923351i
\(708\) −0.727695 16.5442i −0.0273485 0.621768i
\(709\) 1.19596 + 5.23984i 0.0449152 + 0.196786i 0.992408 0.122992i \(-0.0392488\pi\)
−0.947493 + 0.319778i \(0.896392\pi\)
\(710\) −3.14902 4.77535i −0.118180 0.179216i
\(711\) −0.186620 + 0.148824i −0.00699878 + 0.00558134i
\(712\) 22.1992 + 1.02777i 0.831950 + 0.0385174i
\(713\) 16.3303 3.72728i 0.611573 0.139588i
\(714\) −5.96854 1.14874i −0.223367 0.0429904i
\(715\) −2.98070 0.680326i −0.111472 0.0254427i
\(716\) −8.00965 + 43.9061i −0.299335 + 1.64085i
\(717\) 20.9865i 0.783755i
\(718\) 28.2894 + 9.20622i 1.05575 + 0.343573i
\(719\) −2.73796 + 1.31853i −0.102109 + 0.0491730i −0.484241 0.874935i \(-0.660904\pi\)
0.382132 + 0.924108i \(0.375190\pi\)
\(720\) 15.2643 4.92853i 0.568866 0.183675i
\(721\) 24.9386 + 24.3334i 0.928761 + 0.906224i
\(722\) 16.5854 17.3310i 0.617246 0.644993i
\(723\) −24.3406 5.55558i −0.905236 0.206614i
\(724\) −16.6541 19.0977i −0.618943 0.709759i
\(725\) 32.0309 15.4253i 1.18960 0.572881i
\(726\) −3.86671 5.86370i −0.143507 0.217622i
\(727\) 7.83631 + 3.77377i 0.290632 + 0.139961i 0.573519 0.819192i \(-0.305578\pi\)
−0.282887 + 0.959153i \(0.591292\pi\)
\(728\) −0.338344 + 2.29801i −0.0125399 + 0.0851699i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) 35.1360 + 21.0148i 1.30044 + 0.777793i
\(731\) −3.64551 15.9720i −0.134834 0.590746i
\(732\) −7.18001 + 9.86328i −0.265381 + 0.364557i
\(733\) 13.6631 + 10.8960i 0.504658 + 0.402451i 0.842454 0.538768i \(-0.181110\pi\)
−0.337796 + 0.941219i \(0.609681\pi\)
\(734\) 18.4615 + 1.67016i 0.681428 + 0.0616468i
\(735\) 28.0619 0.689394i 1.03508 0.0254287i
\(736\) 4.76356 9.83350i 0.175587 0.362468i
\(737\) 9.31278 11.6779i 0.343041 0.430159i
\(738\) 0.567099 0.948169i 0.0208752 0.0349026i
\(739\) 20.2468 4.62121i 0.744792 0.169994i 0.166748 0.986000i \(-0.446673\pi\)
0.578044 + 0.816006i \(0.303816\pi\)
\(740\) 35.4887 48.7513i 1.30459 1.79213i
\(741\) −0.192246 0.399203i −0.00706233 0.0146651i
\(742\) −31.5279 36.8696i −1.15743 1.35353i
\(743\) −7.70535 + 16.0003i −0.282682 + 0.586995i −0.993165 0.116720i \(-0.962762\pi\)
0.710483 + 0.703714i \(0.248476\pi\)
\(744\) −9.60879 22.5673i −0.352275 0.827357i
\(745\) 12.8669 + 26.7184i 0.471407 + 0.978886i
\(746\) −27.0098 + 28.2239i −0.988898 + 1.03335i
\(747\) −0.158542 + 0.694618i −0.00580075 + 0.0254147i
\(748\) −6.01450 + 5.24493i −0.219912 + 0.191773i
\(749\) 44.1625 16.0645i 1.61366 0.586986i
\(750\) 28.7876 18.9835i 1.05117 0.693178i
\(751\) 0.730139 + 1.51615i 0.0266431 + 0.0553250i 0.913866 0.406017i \(-0.133083\pi\)
−0.887223 + 0.461342i \(0.847368\pi\)
\(752\) −29.2436 + 44.1248i −1.06640 + 1.60906i
\(753\) −20.0808 −0.731785
\(754\) −0.126896 + 1.40268i −0.00462128 + 0.0510825i
\(755\) −4.16010 + 18.2266i −0.151402 + 0.663334i
\(756\) 5.28322 + 0.295969i 0.192149 + 0.0107643i
\(757\) 8.73619 + 38.2757i 0.317522 + 1.39116i 0.841883 + 0.539660i \(0.181447\pi\)
−0.524361 + 0.851496i \(0.675696\pi\)
\(758\) −17.5360 + 2.36717i −0.636936 + 0.0859794i
\(759\) 2.95813 + 3.70938i 0.107373 + 0.134642i
\(760\) 14.8966 6.34271i 0.540355 0.230074i
\(761\) 35.6181 8.12960i 1.29115 0.294698i 0.478832 0.877906i \(-0.341060\pi\)
0.812322 + 0.583209i \(0.198203\pi\)
\(762\) −4.00211 + 0.540241i −0.144981 + 0.0195709i
\(763\) −22.4346 + 14.4839i −0.812187 + 0.524352i
\(764\) 17.2379 + 7.38668i 0.623647 + 0.267241i
\(765\) −6.51408 −0.235517
\(766\) 53.7618 + 4.86367i 1.94249 + 0.175732i
\(767\) 2.50566 + 0.571900i 0.0904741 + 0.0206501i
\(768\) −15.4076 4.31352i −0.555973 0.155651i
\(769\) −30.9715 + 24.6989i −1.11686 + 0.890666i −0.994799 0.101857i \(-0.967522\pi\)
−0.122060 + 0.992523i \(0.538950\pi\)
\(770\) 21.9782 29.5845i 0.792040 1.06615i
\(771\) 16.0140 + 12.7708i 0.576731 + 0.459928i