Properties

Label 384.2.w.a.11.8
Level $384$
Weight $2$
Character 384.11
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 11.8
Character \(\chi\) \(=\) 384.11
Dual form 384.2.w.a.35.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.29156 - 0.576082i) q^{2} +(-1.73162 + 0.0387632i) q^{3} +(1.33626 + 1.48809i) q^{4} +(-0.861594 - 0.460532i) q^{5} +(2.25882 + 0.947488i) q^{6} +(-4.16278 - 0.828028i) q^{7} +(-0.868599 - 2.69175i) q^{8} +(2.99699 - 0.134246i) q^{9} +O(q^{10})\) \(q+(-1.29156 - 0.576082i) q^{2} +(-1.73162 + 0.0387632i) q^{3} +(1.33626 + 1.48809i) q^{4} +(-0.861594 - 0.460532i) q^{5} +(2.25882 + 0.947488i) q^{6} +(-4.16278 - 0.828028i) q^{7} +(-0.868599 - 2.69175i) q^{8} +(2.99699 - 0.134246i) q^{9} +(0.847497 + 1.09115i) q^{10} +(0.0821496 - 0.0674185i) q^{11} +(-2.37157 - 2.52500i) q^{12} +(2.83393 - 1.51477i) q^{13} +(4.89947 + 3.46755i) q^{14} +(1.50980 + 0.764066i) q^{15} +(-0.428822 + 3.97695i) q^{16} +(-1.91264 + 0.792239i) q^{17} +(-3.94814 - 1.55313i) q^{18} +(-1.97609 + 6.51431i) q^{19} +(-0.466001 - 1.89752i) q^{20} +(7.24043 + 1.27246i) q^{21} +(-0.144940 + 0.0397501i) q^{22} +(5.87484 + 3.92544i) q^{23} +(1.60842 + 4.62742i) q^{24} +(-2.24760 - 3.36377i) q^{25} +(-4.53283 + 0.323839i) q^{26} +(-5.18444 + 0.348636i) q^{27} +(-4.33037 - 7.30104i) q^{28} +(8.21329 + 6.74047i) q^{29} +(-1.50984 - 1.85661i) q^{30} +(5.10979 - 5.10979i) q^{31} +(2.84490 - 4.88943i) q^{32} +(-0.139638 + 0.119927i) q^{33} +(2.92668 + 0.0786089i) q^{34} +(3.20529 + 2.63051i) q^{35} +(4.20453 + 4.28041i) q^{36} +(1.79427 + 5.91491i) q^{37} +(6.30502 - 7.27523i) q^{38} +(-4.84857 + 2.73285i) q^{39} +(-0.491258 + 2.71922i) q^{40} +(2.56549 + 1.71420i) q^{41} +(-8.61841 - 5.81454i) q^{42} +(-0.403187 + 4.09362i) q^{43} +(0.210098 + 0.0321575i) q^{44} +(-2.64402 - 1.26454i) q^{45} +(-5.32634 - 8.45434i) q^{46} +(9.29317 - 3.84936i) q^{47} +(0.588396 - 6.90317i) q^{48} +(10.1759 + 4.21500i) q^{49} +(0.965103 + 5.63931i) q^{50} +(3.28124 - 1.44600i) q^{51} +(6.04099 + 2.19302i) q^{52} +(-3.99873 + 3.28167i) q^{53} +(6.89687 + 2.53638i) q^{54} +(-0.101828 + 0.0202548i) q^{55} +(1.38694 + 11.9244i) q^{56} +(3.16932 - 11.3569i) q^{57} +(-6.72490 - 13.4373i) q^{58} +(-4.90296 - 2.62069i) q^{59} +(0.880489 + 3.26771i) q^{60} +(0.190451 + 1.93368i) q^{61} +(-9.54326 + 3.65595i) q^{62} +(-12.5870 - 1.92276i) q^{63} +(-6.49107 + 4.67611i) q^{64} -3.13930 q^{65} +(0.249439 - 0.0744504i) q^{66} +(-0.000264962 + 2.60965e-5i) q^{67} +(-3.73470 - 1.78754i) q^{68} +(-10.3251 - 6.56964i) q^{69} +(-2.62444 - 5.24398i) q^{70} +(-6.00842 - 1.19515i) q^{71} +(-2.96454 - 7.95056i) q^{72} +(-1.27451 - 6.40739i) q^{73} +(1.09007 - 8.67312i) q^{74} +(4.02237 + 5.73763i) q^{75} +(-12.3344 + 5.76420i) q^{76} +(-0.397795 + 0.212626i) q^{77} +(7.83657 - 0.736472i) q^{78} +(-3.56684 + 8.61111i) q^{79} +(2.20098 - 3.22903i) q^{80} +(8.96396 - 0.804670i) q^{81} +(-2.32596 - 3.69193i) q^{82} +(-2.43623 + 8.03116i) q^{83} +(7.78155 + 12.4748i) q^{84} +(2.01277 + 0.198240i) q^{85} +(2.87900 - 5.05489i) q^{86} +(-14.4835 - 11.3535i) q^{87} +(-0.252829 - 0.162567i) q^{88} +(-4.16090 - 6.22723i) q^{89} +(2.68643 + 3.15641i) q^{90} +(-13.0513 + 3.95907i) q^{91} +(2.00890 + 13.9877i) q^{92} +(-8.65012 + 9.04627i) q^{93} +(-14.2202 - 0.381947i) q^{94} +(4.70263 - 4.70263i) q^{95} +(-4.73674 + 8.57690i) q^{96} +(3.18671 + 3.18671i) q^{97} +(-10.7146 - 11.3061i) q^{98} +(0.237151 - 0.213081i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{21}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.29156 0.576082i −0.913272 0.407351i
\(3\) −1.73162 + 0.0387632i −0.999750 + 0.0223800i
\(4\) 1.33626 + 1.48809i 0.668130 + 0.744045i
\(5\) −0.861594 0.460532i −0.385317 0.205956i 0.267353 0.963599i \(-0.413851\pi\)
−0.652670 + 0.757643i \(0.726351\pi\)
\(6\) 2.25882 + 0.947488i 0.922159 + 0.386810i
\(7\) −4.16278 0.828028i −1.57338 0.312965i −0.670185 0.742194i \(-0.733785\pi\)
−0.903196 + 0.429229i \(0.858785\pi\)
\(8\) −0.868599 2.69175i −0.307096 0.951679i
\(9\) 2.99699 0.134246i 0.998998 0.0447487i
\(10\) 0.847497 + 1.09115i 0.268002 + 0.345053i
\(11\) 0.0821496 0.0674185i 0.0247691 0.0203274i −0.621927 0.783075i \(-0.713650\pi\)
0.646696 + 0.762748i \(0.276150\pi\)
\(12\) −2.37157 2.52500i −0.684614 0.728906i
\(13\) 2.83393 1.51477i 0.785992 0.420122i −0.0290103 0.999579i \(-0.509236\pi\)
0.815002 + 0.579458i \(0.196736\pi\)
\(14\) 4.89947 + 3.46755i 1.30944 + 0.926741i
\(15\) 1.50980 + 0.764066i 0.389829 + 0.197281i
\(16\) −0.428822 + 3.97695i −0.107205 + 0.994237i
\(17\) −1.91264 + 0.792239i −0.463882 + 0.192146i −0.602369 0.798218i \(-0.705776\pi\)
0.138486 + 0.990364i \(0.455776\pi\)
\(18\) −3.94814 1.55313i −0.930585 0.366076i
\(19\) −1.97609 + 6.51431i −0.453347 + 1.49448i 0.371126 + 0.928583i \(0.378972\pi\)
−0.824473 + 0.565902i \(0.808528\pi\)
\(20\) −0.466001 1.89752i −0.104201 0.424298i
\(21\) 7.24043 + 1.27246i 1.57999 + 0.277674i
\(22\) −0.144940 + 0.0397501i −0.0309013 + 0.00847476i
\(23\) 5.87484 + 3.92544i 1.22499 + 0.818512i 0.988218 0.153054i \(-0.0489108\pi\)
0.236771 + 0.971565i \(0.423911\pi\)
\(24\) 1.60842 + 4.62742i 0.328318 + 0.944567i
\(25\) −2.24760 3.36377i −0.449519 0.672753i
\(26\) −4.53283 + 0.323839i −0.888961 + 0.0635100i
\(27\) −5.18444 + 0.348636i −0.997747 + 0.0670950i
\(28\) −4.33037 7.30104i −0.818363 1.37977i
\(29\) 8.21329 + 6.74047i 1.52517 + 1.25167i 0.866426 + 0.499305i \(0.166411\pi\)
0.658743 + 0.752368i \(0.271089\pi\)
\(30\) −1.50984 1.85661i −0.275657 0.338969i
\(31\) 5.10979 5.10979i 0.917745 0.917745i −0.0791202 0.996865i \(-0.525211\pi\)
0.996865 + 0.0791202i \(0.0252111\pi\)
\(32\) 2.84490 4.88943i 0.502911 0.864338i
\(33\) −0.139638 + 0.119927i −0.0243079 + 0.0208767i
\(34\) 2.92668 + 0.0786089i 0.501921 + 0.0134813i
\(35\) 3.20529 + 2.63051i 0.541793 + 0.444638i
\(36\) 4.20453 + 4.28041i 0.700755 + 0.713402i
\(37\) 1.79427 + 5.91491i 0.294976 + 0.972406i 0.971710 + 0.236178i \(0.0758948\pi\)
−0.676734 + 0.736228i \(0.736605\pi\)
\(38\) 6.30502 7.27523i 1.02281 1.18020i
\(39\) −4.84857 + 2.73285i −0.776393 + 0.437607i
\(40\) −0.491258 + 2.71922i −0.0776747 + 0.429946i
\(41\) 2.56549 + 1.71420i 0.400662 + 0.267714i 0.739535 0.673119i \(-0.235046\pi\)
−0.338873 + 0.940832i \(0.610046\pi\)
\(42\) −8.61841 5.81454i −1.32985 0.897204i
\(43\) −0.403187 + 4.09362i −0.0614854 + 0.624271i 0.914225 + 0.405207i \(0.132801\pi\)
−0.975710 + 0.219065i \(0.929699\pi\)
\(44\) 0.210098 + 0.0321575i 0.0316735 + 0.00484792i
\(45\) −2.64402 1.26454i −0.394147 0.188507i
\(46\) −5.32634 8.45434i −0.785326 1.24652i
\(47\) 9.29317 3.84936i 1.35555 0.561486i 0.417716 0.908578i \(-0.362831\pi\)
0.937831 + 0.347091i \(0.112831\pi\)
\(48\) 0.588396 6.90317i 0.0849276 0.996387i
\(49\) 10.1759 + 4.21500i 1.45370 + 0.602143i
\(50\) 0.965103 + 5.63931i 0.136486 + 0.797519i
\(51\) 3.28124 1.44600i 0.459466 0.202480i
\(52\) 6.04099 + 2.19302i 0.837734 + 0.304118i
\(53\) −3.99873 + 3.28167i −0.549268 + 0.450773i −0.867640 0.497193i \(-0.834364\pi\)
0.318372 + 0.947966i \(0.396864\pi\)
\(54\) 6.89687 + 2.53638i 0.938545 + 0.345157i
\(55\) −0.101828 + 0.0202548i −0.0137305 + 0.00273116i
\(56\) 1.38694 + 11.9244i 0.185337 + 1.59346i
\(57\) 3.16932 11.3569i 0.419787 1.50426i
\(58\) −6.72490 13.4373i −0.883022 1.76440i
\(59\) −4.90296 2.62069i −0.638311 0.341184i 0.120291 0.992739i \(-0.461617\pi\)
−0.758602 + 0.651554i \(0.774117\pi\)
\(60\) 0.880489 + 3.26771i 0.113671 + 0.421860i
\(61\) 0.190451 + 1.93368i 0.0243848 + 0.247583i 0.999648 + 0.0265355i \(0.00844750\pi\)
−0.975263 + 0.221047i \(0.929052\pi\)
\(62\) −9.54326 + 3.65595i −1.21199 + 0.464306i
\(63\) −12.5870 1.92276i −1.58581 0.242245i
\(64\) −6.49107 + 4.67611i −0.811384 + 0.584514i
\(65\) −3.13930 −0.389382
\(66\) 0.249439 0.0744504i 0.0307039 0.00916421i
\(67\) −0.000264962 0 2.60965e-5i −3.23703e−5 0 3.18819e-6i −0.0980333 0.995183i \(-0.531255\pi\)
0.0980010 + 0.995186i \(0.468755\pi\)
\(68\) −3.73470 1.78754i −0.452899 0.216771i
\(69\) −10.3251 6.56964i −1.24300 0.790891i
\(70\) −2.62444 5.24398i −0.313680 0.626775i
\(71\) −6.00842 1.19515i −0.713068 0.141838i −0.174791 0.984606i \(-0.555925\pi\)
−0.538278 + 0.842768i \(0.680925\pi\)
\(72\) −2.96454 7.95056i −0.349375 0.936983i
\(73\) −1.27451 6.40739i −0.149170 0.749928i −0.980864 0.194694i \(-0.937629\pi\)
0.831694 0.555234i \(-0.187371\pi\)
\(74\) 1.09007 8.67312i 0.126718 1.00823i
\(75\) 4.02237 + 5.73763i 0.464463 + 0.662524i
\(76\) −12.3344 + 5.76420i −1.41486 + 0.661199i
\(77\) −0.397795 + 0.212626i −0.0453329 + 0.0242310i
\(78\) 7.83657 0.736472i 0.887317 0.0833891i
\(79\) −3.56684 + 8.61111i −0.401301 + 0.968825i 0.586050 + 0.810275i \(0.300682\pi\)
−0.987351 + 0.158551i \(0.949318\pi\)
\(80\) 2.20098 3.22903i 0.246077 0.361016i
\(81\) 8.96396 0.804670i 0.995995 0.0894078i
\(82\) −2.32596 3.69193i −0.256859 0.407705i
\(83\) −2.43623 + 8.03116i −0.267411 + 0.881535i 0.715682 + 0.698426i \(0.246116\pi\)
−0.983093 + 0.183108i \(0.941384\pi\)
\(84\) 7.78155 + 12.4748i 0.849037 + 1.36111i
\(85\) 2.01277 + 0.198240i 0.218315 + 0.0215022i
\(86\) 2.87900 5.05489i 0.310451 0.545083i
\(87\) −14.4835 11.3535i −1.55280 1.21723i
\(88\) −0.252829 0.162567i −0.0269517 0.0173297i
\(89\) −4.16090 6.22723i −0.441055 0.660085i 0.542633 0.839970i \(-0.317427\pi\)
−0.983688 + 0.179885i \(0.942427\pi\)
\(90\) 2.68643 + 3.15641i 0.283174 + 0.332715i
\(91\) −13.0513 + 3.95907i −1.36815 + 0.415023i
\(92\) 2.00890 + 13.9877i 0.209442 + 1.45832i
\(93\) −8.65012 + 9.04627i −0.896976 + 0.938054i
\(94\) −14.2202 0.381947i −1.46671 0.0393948i
\(95\) 4.70263 4.70263i 0.482480 0.482480i
\(96\) −4.73674 + 8.57690i −0.483442 + 0.875377i
\(97\) 3.18671 + 3.18671i 0.323562 + 0.323562i 0.850132 0.526570i \(-0.176522\pi\)
−0.526570 + 0.850132i \(0.676522\pi\)
\(98\) −10.7146 11.3061i −1.08234 1.14209i
\(99\) 0.237151 0.213081i 0.0238346 0.0214155i
\(100\) 2.00221 7.83949i 0.200221 0.783949i
\(101\) −1.11090 3.66215i −0.110539 0.364398i 0.884166 0.467173i \(-0.154728\pi\)
−0.994705 + 0.102776i \(0.967228\pi\)
\(102\) −5.07094 0.0226730i −0.502097 0.00224496i
\(103\) 3.21346 2.14717i 0.316632 0.211567i −0.387091 0.922042i \(-0.626520\pi\)
0.703722 + 0.710475i \(0.251520\pi\)
\(104\) −6.53894 6.31253i −0.641196 0.618994i
\(105\) −5.65230 4.43079i −0.551608 0.432401i
\(106\) 7.05512 1.93489i 0.685254 0.187933i
\(107\) −0.653478 + 6.63488i −0.0631741 + 0.641418i 0.910506 + 0.413497i \(0.135693\pi\)
−0.973680 + 0.227921i \(0.926807\pi\)
\(108\) −7.44656 7.24905i −0.716546 0.697540i
\(109\) 16.2326 + 4.92410i 1.55480 + 0.471644i 0.946673 0.322196i \(-0.104421\pi\)
0.608127 + 0.793840i \(0.291921\pi\)
\(110\) 0.143185 + 0.0325009i 0.0136522 + 0.00309884i
\(111\) −3.33627 10.1728i −0.316665 0.965561i
\(112\) 5.07811 16.2001i 0.479836 1.53076i
\(113\) −5.11852 2.12016i −0.481510 0.199448i 0.128706 0.991683i \(-0.458918\pi\)
−0.610216 + 0.792235i \(0.708918\pi\)
\(114\) −10.6359 + 12.8423i −0.996140 + 1.20279i
\(115\) −3.25394 6.08769i −0.303431 0.567680i
\(116\) 0.944657 + 21.2291i 0.0877092 + 1.97107i
\(117\) 8.28994 4.92020i 0.766405 0.454873i
\(118\) 4.82274 + 6.20928i 0.443969 + 0.571611i
\(119\) 8.61787 1.71420i 0.789999 0.157140i
\(120\) 0.745265 4.72768i 0.0680330 0.431576i
\(121\) −2.14379 + 10.7776i −0.194890 + 0.979778i
\(122\) 0.867980 2.60718i 0.0785833 0.236043i
\(123\) −4.50889 2.86890i −0.406553 0.258680i
\(124\) 14.4318 + 0.775820i 1.29602 + 0.0696707i
\(125\) 0.866185 + 8.79452i 0.0774739 + 0.786606i
\(126\) 15.1492 + 9.73449i 1.34960 + 0.867217i
\(127\) 9.79938i 0.869555i 0.900538 + 0.434777i \(0.143173\pi\)
−0.900538 + 0.434777i \(0.856827\pi\)
\(128\) 11.0774 2.30009i 0.979116 0.203301i
\(129\) 0.539483 7.10421i 0.0474988 0.625491i
\(130\) 4.05460 + 1.80849i 0.355612 + 0.158615i
\(131\) 15.5307 1.52964i 1.35692 0.133645i 0.606753 0.794891i \(-0.292472\pi\)
0.750170 + 0.661245i \(0.229972\pi\)
\(132\) −0.365056 0.0475404i −0.0317740 0.00413786i
\(133\) 13.6201 25.4813i 1.18101 2.20951i
\(134\) 0.000357248 0 0.000118935i 3.08616e−5 0 1.02744e-5i
\(135\) 4.62744 + 2.08722i 0.398267 + 0.179639i
\(136\) 3.79383 + 4.46020i 0.325318 + 0.382459i
\(137\) −0.225804 1.13519i −0.0192917 0.0969860i 0.969940 0.243345i \(-0.0782446\pi\)
−0.989232 + 0.146359i \(0.953245\pi\)
\(138\) 9.55090 + 14.4332i 0.813026 + 1.22864i
\(139\) −3.72090 4.53393i −0.315602 0.384563i 0.590913 0.806735i \(-0.298768\pi\)
−0.906515 + 0.422173i \(0.861268\pi\)
\(140\) 0.368659 + 8.28481i 0.0311574 + 0.700194i
\(141\) −15.9430 + 7.02584i −1.34264 + 0.591683i
\(142\) 7.07174 + 5.00495i 0.593447 + 0.420006i
\(143\) 0.130683 0.315497i 0.0109283 0.0263832i
\(144\) −0.751287 + 11.9765i −0.0626072 + 0.998038i
\(145\) −3.97232 9.59002i −0.329883 0.796408i
\(146\) −2.04507 + 9.00975i −0.169252 + 0.745652i
\(147\) −17.7842 6.90432i −1.46681 0.569458i
\(148\) −6.40431 + 10.5739i −0.526431 + 0.869168i
\(149\) −9.61097 0.946598i −0.787362 0.0775483i −0.303659 0.952781i \(-0.598208\pi\)
−0.483703 + 0.875232i \(0.660708\pi\)
\(150\) −1.88979 9.72771i −0.154300 0.794264i
\(151\) −0.241361 + 0.361223i −0.0196417 + 0.0293959i −0.841161 0.540785i \(-0.818127\pi\)
0.821519 + 0.570181i \(0.193127\pi\)
\(152\) 19.2513 0.339164i 1.56149 0.0275099i
\(153\) −5.62580 + 2.63110i −0.454819 + 0.212712i
\(154\) 0.636266 0.0454568i 0.0512718 0.00366301i
\(155\) −6.75578 + 2.04934i −0.542637 + 0.164607i
\(156\) −10.5457 3.56331i −0.844330 0.285293i
\(157\) −12.9285 + 15.7535i −1.03181 + 1.25726i −0.0660527 + 0.997816i \(0.521041\pi\)
−0.965757 + 0.259448i \(0.916459\pi\)
\(158\) 9.56749 9.06698i 0.761149 0.721330i
\(159\) 6.79706 5.83761i 0.539042 0.462952i
\(160\) −4.70288 + 2.90254i −0.371796 + 0.229466i
\(161\) −21.2053 21.2053i −1.67121 1.67121i
\(162\) −12.0411 4.12469i −0.946034 0.324066i
\(163\) 15.1205 18.4244i 1.18433 1.44311i 0.314850 0.949141i \(-0.398046\pi\)
0.869480 0.493969i \(-0.164454\pi\)
\(164\) 0.877267 + 6.10830i 0.0685031 + 0.476978i
\(165\) 0.175542 0.0390208i 0.0136659 0.00303777i
\(166\) 7.77314 8.96927i 0.603313 0.696150i
\(167\) 11.5750 7.73414i 0.895697 0.598486i −0.0202455 0.999795i \(-0.506445\pi\)
0.915943 + 0.401309i \(0.131445\pi\)
\(168\) −2.86387 20.5947i −0.220952 1.58892i
\(169\) −1.48575 + 2.22359i −0.114289 + 0.171045i
\(170\) −2.48541 1.41556i −0.190622 0.108568i
\(171\) −5.04782 + 19.7886i −0.386017 + 1.51327i
\(172\) −6.63044 + 4.87016i −0.505566 + 0.371346i
\(173\) 10.5966 + 3.21445i 0.805647 + 0.244390i 0.666136 0.745830i \(-0.267947\pi\)
0.139511 + 0.990221i \(0.455447\pi\)
\(174\) 12.1658 + 23.0075i 0.922288 + 1.74419i
\(175\) 6.57095 + 15.8637i 0.496717 + 1.19918i
\(176\) 0.232892 + 0.355615i 0.0175549 + 0.0268055i
\(177\) 8.59164 + 4.34797i 0.645787 + 0.326814i
\(178\) 1.78666 + 10.4399i 0.133916 + 0.782501i
\(179\) −1.62290 3.03623i −0.121301 0.226939i 0.813941 0.580948i \(-0.197318\pi\)
−0.935242 + 0.354009i \(0.884818\pi\)
\(180\) −1.65134 5.62429i −0.123083 0.419210i
\(181\) −0.787425 0.959480i −0.0585288 0.0713176i 0.742923 0.669377i \(-0.233439\pi\)
−0.801452 + 0.598059i \(0.795939\pi\)
\(182\) 19.1373 + 2.40524i 1.41855 + 0.178288i
\(183\) −0.404744 3.34102i −0.0299196 0.246975i
\(184\) 5.46344 19.2233i 0.402770 1.41716i
\(185\) 1.17807 5.92257i 0.0866136 0.435436i
\(186\) 16.3836 6.70063i 1.20130 0.491314i
\(187\) −0.103711 + 0.194029i −0.00758408 + 0.0141888i
\(188\) 18.1463 + 8.68533i 1.32345 + 0.633443i
\(189\) 21.8704 + 2.84157i 1.59083 + 0.206694i
\(190\) −8.78284 + 3.36464i −0.637174 + 0.244096i
\(191\) 11.6599i 0.843682i −0.906670 0.421841i \(-0.861384\pi\)
0.906670 0.421841i \(-0.138616\pi\)
\(192\) 11.0588 8.34884i 0.798099 0.602526i
\(193\) 7.47951i 0.538387i 0.963086 + 0.269194i \(0.0867571\pi\)
−0.963086 + 0.269194i \(0.913243\pi\)
\(194\) −2.28003 5.95164i −0.163696 0.427303i
\(195\) 5.43607 0.121689i 0.389285 0.00871436i
\(196\) 7.32536 + 20.7750i 0.523240 + 1.48393i
\(197\) −1.25720 + 2.35206i −0.0895720 + 0.167577i −0.922718 0.385476i \(-0.874037\pi\)
0.833146 + 0.553053i \(0.186537\pi\)
\(198\) −0.429048 + 0.138589i −0.0304911 + 0.00984906i
\(199\) 3.02176 15.1914i 0.214207 1.07689i −0.712663 0.701507i \(-0.752511\pi\)
0.926870 0.375384i \(-0.122489\pi\)
\(200\) −7.10217 + 8.97174i −0.502199 + 0.634398i
\(201\) 0.000457801 0 5.54599e-5i 3.22908e−5 0 3.91184e-6i
\(202\) −0.674902 + 5.36986i −0.0474859 + 0.377822i
\(203\) −28.6088 34.8599i −2.00794 2.44668i
\(204\) 6.53636 + 2.95056i 0.457637 + 0.206580i
\(205\) −1.42096 2.65843i −0.0992444 0.185673i
\(206\) −5.38733 + 0.921979i −0.375353 + 0.0642374i
\(207\) 18.1338 + 10.9759i 1.26039 + 0.762875i
\(208\) 4.80891 + 11.9200i 0.333438 + 0.826502i
\(209\) 0.276849 + 0.668373i 0.0191501 + 0.0462323i
\(210\) 4.74779 + 8.97883i 0.327629 + 0.619598i
\(211\) 23.6559 + 7.17593i 1.62854 + 0.494011i 0.966759 0.255689i \(-0.0823024\pi\)
0.661777 + 0.749700i \(0.269802\pi\)
\(212\) −10.2268 1.56530i −0.702377 0.107505i
\(213\) 10.4506 + 1.83663i 0.716064 + 0.125844i
\(214\) 4.66624 8.19289i 0.318978 0.560055i
\(215\) 2.23262 3.34136i 0.152264 0.227879i
\(216\) 5.44164 + 13.6524i 0.370257 + 0.928929i
\(217\) −25.5019 + 17.0399i −1.73118 + 1.15674i
\(218\) −18.1287 15.7111i −1.22783 1.06409i
\(219\) 2.45533 + 11.0457i 0.165916 + 0.746402i
\(220\) −0.166210 0.124463i −0.0112058 0.00839132i
\(221\) −4.22022 + 5.14236i −0.283883 + 0.345912i
\(222\) −1.55138 + 15.0608i −0.104122 + 1.01081i
\(223\) 6.90045 + 6.90045i 0.462088 + 0.462088i 0.899339 0.437251i \(-0.144048\pi\)
−0.437251 + 0.899339i \(0.644048\pi\)
\(224\) −15.8913 + 17.9980i −1.06178 + 1.20254i
\(225\) −7.18761 9.77946i −0.479174 0.651964i
\(226\) 5.38950 + 5.68700i 0.358504 + 0.378294i
\(227\) −7.17762 + 8.74596i −0.476396 + 0.580490i −0.954650 0.297732i \(-0.903770\pi\)
0.478254 + 0.878222i \(0.341270\pi\)
\(228\) 21.1351 10.4595i 1.39971 0.692698i
\(229\) 7.71252 2.33957i 0.509658 0.154603i −0.0249740 0.999688i \(-0.507950\pi\)
0.534632 + 0.845085i \(0.320450\pi\)
\(230\) 0.695651 + 9.73715i 0.0458699 + 0.642049i
\(231\) 0.680586 0.383606i 0.0447793 0.0252394i
\(232\) 11.0096 27.9629i 0.722818 1.83585i
\(233\) −2.82635 + 4.22993i −0.185160 + 0.277112i −0.912424 0.409246i \(-0.865792\pi\)
0.727264 + 0.686358i \(0.240792\pi\)
\(234\) −13.5414 + 1.57906i −0.885229 + 0.103226i
\(235\) −9.77968 0.963215i −0.637956 0.0628332i
\(236\) −2.65181 10.7980i −0.172618 0.702888i
\(237\) 5.84260 15.0494i 0.379518 0.977564i
\(238\) −12.1180 2.75060i −0.785495 0.178295i
\(239\) 5.21739 + 12.5959i 0.337485 + 0.814760i 0.997956 + 0.0639088i \(0.0203567\pi\)
−0.660471 + 0.750852i \(0.729643\pi\)
\(240\) −3.68609 + 5.67676i −0.237936 + 0.366433i
\(241\) −8.39373 + 20.2643i −0.540688 + 1.30534i 0.383550 + 0.923520i \(0.374701\pi\)
−0.924238 + 0.381816i \(0.875299\pi\)
\(242\) 8.97759 12.6849i 0.577102 0.815415i
\(243\) −15.4909 + 1.74085i −0.993745 + 0.111676i
\(244\) −2.62300 + 2.86731i −0.167920 + 0.183561i
\(245\) −6.82636 8.31795i −0.436120 0.531414i
\(246\) 4.17078 + 6.30284i 0.265920 + 0.401855i
\(247\) 4.26755 + 21.4544i 0.271538 + 1.36511i
\(248\) −18.1926 9.31593i −1.15523 0.591562i
\(249\) 3.90730 14.0013i 0.247615 0.887298i
\(250\) 3.94763 11.8577i 0.249670 0.749944i
\(251\) −7.17708 + 13.4274i −0.453014 + 0.847529i 0.546933 + 0.837176i \(0.315795\pi\)
−0.999946 + 0.0103523i \(0.996705\pi\)
\(252\) −13.9582 21.2999i −0.879286 1.34176i
\(253\) 0.747264 0.0735990i 0.0469801 0.00462713i
\(254\) 5.64525 12.6565i 0.354214 0.794139i
\(255\) −3.49302 0.265255i −0.218742 0.0166109i
\(256\) −15.6322 3.41080i −0.977014 0.213175i
\(257\) 25.3914i 1.58387i 0.610603 + 0.791937i \(0.290927\pi\)
−0.610603 + 0.791937i \(0.709073\pi\)
\(258\) −4.78938 + 8.86474i −0.298174 + 0.551894i
\(259\) −2.57143 26.1082i −0.159781 1.62228i
\(260\) −4.19492 4.67156i −0.260158 0.289718i
\(261\) 25.5201 + 19.0985i 1.57965 + 1.18217i
\(262\) −20.9400 6.97132i −1.29368 0.430690i
\(263\) −3.45864 + 17.3878i −0.213269 + 1.07217i 0.714676 + 0.699456i \(0.246574\pi\)
−0.927944 + 0.372719i \(0.878426\pi\)
\(264\) 0.444105 + 0.271703i 0.0273327 + 0.0167222i
\(265\) 4.95660 0.985929i 0.304481 0.0605651i
\(266\) −32.2705 + 25.0644i −1.97863 + 1.53680i
\(267\) 7.44647 + 10.6219i 0.455717 + 0.650049i
\(268\) −0.000392892 0 0.000359416i −2.39997e−5 0 2.19548e-5i
\(269\) −4.36134 8.15949i −0.265915 0.497493i 0.713157 0.701004i \(-0.247265\pi\)
−0.979073 + 0.203511i \(0.934765\pi\)
\(270\) −4.77422 5.36155i −0.290550 0.326294i
\(271\) 10.1614 + 4.20899i 0.617261 + 0.255678i 0.669329 0.742966i \(-0.266581\pi\)
−0.0520687 + 0.998644i \(0.516581\pi\)
\(272\) −2.33052 7.94618i −0.141308 0.481808i
\(273\) 22.4464 7.36150i 1.35852 0.445538i
\(274\) −0.362324 + 1.59625i −0.0218888 + 0.0964330i
\(275\) −0.411419 0.124803i −0.0248095 0.00752588i
\(276\) −4.02085 24.1435i −0.242027 1.45327i
\(277\) 1.12392 11.4114i 0.0675298 0.685642i −0.900508 0.434839i \(-0.856805\pi\)
0.968038 0.250803i \(-0.0806946\pi\)
\(278\) 2.19385 + 7.99938i 0.131579 + 0.479771i
\(279\) 14.6280 16.0000i 0.875758 0.957893i
\(280\) 4.29658 10.9127i 0.256770 0.652159i
\(281\) 8.22332 5.49465i 0.490562 0.327783i −0.285565 0.958359i \(-0.592181\pi\)
0.776127 + 0.630576i \(0.217181\pi\)
\(282\) 24.6388 + 0.110164i 1.46722 + 0.00656018i
\(283\) 0.263908 + 0.869988i 0.0156877 + 0.0517154i 0.964435 0.264321i \(-0.0851478\pi\)
−0.948747 + 0.316036i \(0.897648\pi\)
\(284\) −6.25032 10.5381i −0.370888 0.625321i
\(285\) −7.96087 + 8.32545i −0.471561 + 0.493157i
\(286\) −0.350538 + 0.332200i −0.0207277 + 0.0196434i
\(287\) −9.26014 9.26014i −0.546609 0.546609i
\(288\) 7.86975 15.0355i 0.463730 0.885977i
\(289\) −8.99028 + 8.99028i −0.528840 + 0.528840i
\(290\) −0.394148 + 14.6745i −0.0231452 + 0.861715i
\(291\) −5.64169 5.39464i −0.330722 0.316239i
\(292\) 7.83169 10.4585i 0.458315 0.612038i
\(293\) 8.91003 2.70283i 0.520529 0.157901i −0.0190775 0.999818i \(-0.506073\pi\)
0.539607 + 0.841917i \(0.318573\pi\)
\(294\) 18.9919 + 19.1625i 1.10763 + 1.11758i
\(295\) 3.01745 + 4.51594i 0.175683 + 0.262928i
\(296\) 14.3630 9.96742i 0.834832 0.579344i
\(297\) −0.402396 + 0.378168i −0.0233494 + 0.0219435i
\(298\) 11.8678 + 6.75930i 0.687485 + 0.391556i
\(299\) 22.5951 + 2.22542i 1.30671 + 0.128699i
\(300\) −3.16318 + 13.6526i −0.182626 + 0.788233i
\(301\) 5.06801 16.7070i 0.292115 0.962974i
\(302\) 0.519827 0.327497i 0.0299127 0.0188454i
\(303\) 2.06561 + 6.29838i 0.118666 + 0.361833i
\(304\) −25.0597 10.6523i −1.43727 0.610951i
\(305\) 0.726430 1.75376i 0.0415953 0.100420i
\(306\) 8.78180 0.157305i 0.502022 0.00899252i
\(307\) −17.9219 + 9.57943i −1.02285 + 0.546727i −0.895468 0.445126i \(-0.853159\pi\)
−0.127386 + 0.991853i \(0.540659\pi\)
\(308\) −0.847963 0.307831i −0.0483172 0.0175403i
\(309\) −5.48125 + 3.84263i −0.311818 + 0.218600i
\(310\) 9.90609 + 1.24503i 0.562628 + 0.0707130i
\(311\) −4.58660 23.0584i −0.260082 1.30752i −0.861161 0.508332i \(-0.830262\pi\)
0.601079 0.799189i \(-0.294738\pi\)
\(312\) 11.5676 + 10.6774i 0.654888 + 0.604489i
\(313\) −12.4831 2.48305i −0.705589 0.140350i −0.170762 0.985312i \(-0.554623\pi\)
−0.534827 + 0.844962i \(0.679623\pi\)
\(314\) 25.7733 12.8987i 1.45447 0.727914i
\(315\) 9.95937 + 7.45334i 0.561147 + 0.419948i
\(316\) −17.5803 + 6.19890i −0.988970 + 0.348715i
\(317\) −16.6658 + 1.64144i −0.936043 + 0.0921922i −0.554523 0.832168i \(-0.687099\pi\)
−0.381520 + 0.924361i \(0.624599\pi\)
\(318\) −12.1418 + 3.62396i −0.680876 + 0.203222i
\(319\) 1.12915 0.0632203
\(320\) 7.74616 1.03956i 0.433024 0.0581134i
\(321\) 0.874385 11.5144i 0.0488034 0.642671i
\(322\) 15.1719 + 39.6039i 0.845498 + 2.20704i
\(323\) −1.38135 14.0250i −0.0768601 0.780374i
\(324\) 13.1756 + 12.2639i 0.731977 + 0.681329i
\(325\) −11.4649 6.12810i −0.635957 0.339926i
\(326\) −30.1430 + 15.0856i −1.66947 + 0.835513i
\(327\) −28.2995 7.89743i −1.56497 0.436729i
\(328\) 2.38583 8.39461i 0.131736 0.463515i
\(329\) −41.8727 + 8.32900i −2.30852 + 0.459193i
\(330\) −0.249202 0.0507287i −0.0137181 0.00279253i
\(331\) 5.11523 4.19796i 0.281158 0.230741i −0.483235 0.875491i \(-0.660538\pi\)
0.764394 + 0.644750i \(0.223038\pi\)
\(332\) −15.2065 + 7.10639i −0.834566 + 0.390014i
\(333\) 6.17147 + 17.4861i 0.338194 + 0.958232i
\(334\) −19.4053 + 3.32099i −1.06181 + 0.181716i
\(335\) 0.000240308 0 9.95388e-5i 1.31294e−5 0 5.43839e-6i
\(336\) −8.16538 + 28.2491i −0.445458 + 1.54112i
\(337\) 26.2182 10.8599i 1.42820 0.591578i 0.471290 0.881978i \(-0.343788\pi\)
0.956905 + 0.290400i \(0.0937884\pi\)
\(338\) 3.19991 2.01598i 0.174052 0.109655i
\(339\) 8.94550 + 3.47290i 0.485853 + 0.188622i
\(340\) 2.39458 + 3.26008i 0.129864 + 0.176802i
\(341\) 0.0752732 0.764261i 0.00407627 0.0413871i
\(342\) 17.9194 22.6503i 0.968972 1.22479i
\(343\) −14.1667 9.46588i −0.764929 0.511110i
\(344\) 11.3692 2.47044i 0.612988 0.133197i
\(345\) 5.87055 + 10.4154i 0.316060 + 0.560747i
\(346\) −11.8344 10.2562i −0.636222 0.551376i
\(347\) 7.55447 + 24.9037i 0.405545 + 1.33690i 0.887541 + 0.460729i \(0.152412\pi\)
−0.481996 + 0.876174i \(0.660088\pi\)
\(348\) −2.45869 36.7241i −0.131800 1.96862i
\(349\) −5.25168 4.30995i −0.281116 0.230706i 0.483260 0.875477i \(-0.339453\pi\)
−0.764376 + 0.644771i \(0.776953\pi\)
\(350\) 0.651994 24.2743i 0.0348505 1.29752i
\(351\) −14.1643 + 8.84125i −0.756033 + 0.471911i
\(352\) −0.0959309 0.593464i −0.00511313 0.0316317i
\(353\) 3.90879 3.90879i 0.208044 0.208044i −0.595392 0.803436i \(-0.703003\pi\)
0.803436 + 0.595392i \(0.203003\pi\)
\(354\) −8.59184 10.5652i −0.456651 0.561532i
\(355\) 4.62641 + 3.79680i 0.245545 + 0.201513i
\(356\) 3.70663 14.5130i 0.196451 0.769187i
\(357\) −14.8564 + 3.30239i −0.786284 + 0.174781i
\(358\) 0.346956 + 4.85640i 0.0183372 + 0.256669i
\(359\) 10.8208 + 16.1945i 0.571100 + 0.854712i 0.998788 0.0492147i \(-0.0156719\pi\)
−0.427688 + 0.903926i \(0.640672\pi\)
\(360\) −1.10725 + 8.21542i −0.0583573 + 0.432991i
\(361\) −22.7333 15.1899i −1.19649 0.799470i
\(362\) 0.464268 + 1.69285i 0.0244014 + 0.0889741i
\(363\) 3.29445 18.7457i 0.172914 0.983895i
\(364\) −23.3314 14.1312i −1.22290 0.740674i
\(365\) −1.85270 + 6.10752i −0.0969745 + 0.319682i
\(366\) −1.40195 + 4.54829i −0.0732809 + 0.237743i
\(367\) 11.6060 4.80735i 0.605827 0.250942i −0.0586161 0.998281i \(-0.518669\pi\)
0.664443 + 0.747339i \(0.268669\pi\)
\(368\) −18.1305 + 21.6806i −0.945120 + 1.13018i
\(369\) 7.91888 + 4.79305i 0.412240 + 0.249516i
\(370\) −4.93344 + 6.97069i −0.256477 + 0.362389i
\(371\) 19.3631 10.3498i 1.00528 0.537336i
\(372\) −25.0205 0.784000i −1.29725 0.0406485i
\(373\) −11.5730 + 9.49770i −0.599226 + 0.491772i −0.884416 0.466699i \(-0.845443\pi\)
0.285190 + 0.958471i \(0.407943\pi\)
\(374\) 0.245725 0.190855i 0.0127062 0.00986886i
\(375\) −1.84080 15.1952i −0.0950587 0.784675i
\(376\) −18.4335 21.6714i −0.950638 1.11762i
\(377\) 33.4862 + 6.66081i 1.72463 + 0.343049i
\(378\) −26.6099 16.2692i −1.36867 0.836796i
\(379\) −16.9799 9.07594i −0.872198 0.466200i −0.0263683 0.999652i \(-0.508394\pi\)
−0.845830 + 0.533453i \(0.820894\pi\)
\(380\) 13.2819 + 0.714002i 0.681346 + 0.0366275i
\(381\) −0.379856 16.9688i −0.0194606 0.869337i
\(382\) −6.71707 + 15.0595i −0.343675 + 0.770511i
\(383\) −20.7644 −1.06101 −0.530504 0.847682i \(-0.677997\pi\)
−0.530504 + 0.847682i \(0.677997\pi\)
\(384\) −19.0927 + 4.41227i −0.974321 + 0.225163i
\(385\) 0.440659 0.0224580
\(386\) 4.30881 9.66025i 0.219313 0.491694i
\(387\) −0.658795 + 12.3227i −0.0334884 + 0.626397i
\(388\) −0.483839 + 9.00039i −0.0245632 + 0.456925i
\(389\) 10.8330 + 5.79037i 0.549256 + 0.293583i 0.722587 0.691280i \(-0.242953\pi\)
−0.173331 + 0.984864i \(0.555453\pi\)
\(390\) −7.09111 2.97445i −0.359072 0.150617i
\(391\) −14.3463 2.85366i −0.725525 0.144316i
\(392\) 2.50696 31.0522i 0.126620 1.56837i
\(393\) −26.8339 + 3.25077i −1.35359 + 0.163980i
\(394\) 2.97873 2.31358i 0.150066 0.116556i
\(395\) 7.03885 5.77664i 0.354163 0.290654i
\(396\) 0.633980 + 0.0681709i 0.0318587 + 0.00342572i
\(397\) −15.6138 + 8.34577i −0.783636 + 0.418862i −0.814137 0.580672i \(-0.802790\pi\)
0.0305010 + 0.999535i \(0.490290\pi\)
\(398\) −12.6543 + 17.8798i −0.634302 + 0.896236i
\(399\) −22.5970 + 44.6519i −1.13126 + 2.23539i
\(400\) 14.3413 7.49612i 0.717067 0.374806i
\(401\) 11.5774 4.79552i 0.578148 0.239477i −0.0743943 0.997229i \(-0.523702\pi\)
0.652543 + 0.757752i \(0.273702\pi\)
\(402\) −0.000623228 0 0.000192101i −3.10838e−5 0 9.58113e-6i
\(403\) 6.74065 22.2210i 0.335776 1.10690i
\(404\) 3.96516 6.54671i 0.197274 0.325711i
\(405\) −8.09387 3.43489i −0.402187 0.170681i
\(406\) 16.8678 + 61.5047i 0.837136 + 3.05243i
\(407\) 0.546173 + 0.364941i 0.0270728 + 0.0180895i
\(408\) −6.74235 7.57630i −0.333796 0.375083i
\(409\) −13.3985 20.0523i −0.662513 0.991521i −0.998762 0.0497478i \(-0.984158\pi\)
0.336249 0.941773i \(-0.390842\pi\)
\(410\) 0.303784 + 4.25212i 0.0150028 + 0.209997i
\(411\) 0.435009 + 1.95696i 0.0214574 + 0.0965299i
\(412\) 7.48920 + 1.91275i 0.368966 + 0.0942343i
\(413\) 18.2399 + 14.9691i 0.897528 + 0.736582i
\(414\) −17.0980 24.6226i −0.840320 1.21013i
\(415\) 5.79764 5.79764i 0.284595 0.284595i
\(416\) 0.655886 18.1657i 0.0321574 0.890647i
\(417\) 6.61892 + 7.70679i 0.324130 + 0.377403i
\(418\) 0.0274700 1.02273i 0.00134360 0.0500235i
\(419\) 23.1827 + 19.0255i 1.13255 + 0.929458i 0.998109 0.0614643i \(-0.0195770\pi\)
0.134438 + 0.990922i \(0.457077\pi\)
\(420\) −0.959522 14.3318i −0.0468199 0.699321i
\(421\) −4.56416 15.0460i −0.222444 0.733298i −0.995135 0.0985168i \(-0.968590\pi\)
0.772692 0.634781i \(-0.218910\pi\)
\(422\) −26.4191 22.8959i −1.28606 1.11455i
\(423\) 27.3348 12.7841i 1.32906 0.621583i
\(424\) 12.3068 + 7.91314i 0.597669 + 0.384296i
\(425\) 6.96374 + 4.65302i 0.337791 + 0.225705i
\(426\) −12.4395 8.39253i −0.602698 0.406619i
\(427\) 0.808337 8.20719i 0.0391182 0.397174i
\(428\) −10.7465 + 7.89348i −0.519452 + 0.381546i
\(429\) −0.214064 + 0.551386i −0.0103351 + 0.0266212i
\(430\) −4.80847 + 3.02939i −0.231885 + 0.146090i
\(431\) 20.7585 8.59846i 0.999902 0.414173i 0.178141 0.984005i \(-0.442992\pi\)
0.821761 + 0.569832i \(0.192992\pi\)
\(432\) 0.836694 20.7678i 0.0402555 0.999189i
\(433\) −20.7319 8.58743i −0.996311 0.412686i −0.175868 0.984414i \(-0.556273\pi\)
−0.820443 + 0.571728i \(0.806273\pi\)
\(434\) 42.7537 7.31680i 2.05224 0.351218i
\(435\) 7.25027 + 16.4523i 0.347624 + 0.788826i
\(436\) 14.3634 + 30.7354i 0.687884 + 1.47196i
\(437\) −37.1808 + 30.5135i −1.77860 + 1.45966i
\(438\) 3.19204 15.6807i 0.152521 0.749253i
\(439\) −14.3953 + 2.86340i −0.687050 + 0.136663i −0.526257 0.850326i \(-0.676405\pi\)
−0.160793 + 0.986988i \(0.551405\pi\)
\(440\) 0.142969 + 0.256502i 0.00681577 + 0.0122283i
\(441\) 31.0630 + 11.2663i 1.47919 + 0.536489i
\(442\) 8.41309 4.21047i 0.400170 0.200272i
\(443\) 23.8121 + 12.7279i 1.13135 + 0.604719i 0.927329 0.374248i \(-0.122099\pi\)
0.204021 + 0.978967i \(0.434599\pi\)
\(444\) 10.6799 18.5582i 0.506847 0.880732i
\(445\) 0.717172 + 7.28157i 0.0339972 + 0.345179i
\(446\) −4.93713 12.8876i −0.233780 0.610244i
\(447\) 16.6792 + 1.26659i 0.788900 + 0.0599078i
\(448\) 30.8928 14.0908i 1.45955 0.665728i
\(449\) −20.8061 −0.981903 −0.490951 0.871187i \(-0.663351\pi\)
−0.490951 + 0.871187i \(0.663351\pi\)
\(450\) 3.64946 + 16.7714i 0.172037 + 0.790612i
\(451\) 0.326323 0.0321400i 0.0153659 0.00151341i
\(452\) −3.68468 10.4499i −0.173313 0.491522i
\(453\) 0.403943 0.634855i 0.0189789 0.0298281i
\(454\) 14.3087 7.16104i 0.671542 0.336084i
\(455\) 13.0682 + 2.59943i 0.612647 + 0.121863i
\(456\) −33.3228 + 1.33355i −1.56048 + 0.0624491i
\(457\) 5.20725 + 26.1786i 0.243585 + 1.22458i 0.887977 + 0.459888i \(0.152110\pi\)
−0.644392 + 0.764695i \(0.722890\pi\)
\(458\) −11.3090 1.42135i −0.528434 0.0664153i
\(459\) 9.63975 4.77413i 0.449945 0.222838i
\(460\) 4.71092 12.9769i 0.219648 0.605050i
\(461\) −4.11226 + 2.19805i −0.191527 + 0.102373i −0.564373 0.825520i \(-0.690882\pi\)
0.372846 + 0.927893i \(0.378382\pi\)
\(462\) −1.10001 + 0.103377i −0.0511770 + 0.00480955i
\(463\) 6.39309 15.4343i 0.297112 0.717292i −0.702870 0.711318i \(-0.748098\pi\)
0.999982 0.00597375i \(-0.00190151\pi\)
\(464\) −30.3285 + 29.7733i −1.40797 + 1.38219i
\(465\) 11.6190 3.81055i 0.538817 0.176710i
\(466\) 6.08719 3.83501i 0.281984 0.177653i
\(467\) −0.0873080 + 0.287816i −0.00404013 + 0.0133185i −0.958937 0.283618i \(-0.908465\pi\)
0.954897 + 0.296937i \(0.0959651\pi\)
\(468\) 18.3992 + 5.76150i 0.850504 + 0.266326i
\(469\) 0.00112459 0.000110762i 5.19286e−5 5.11452e-6i
\(470\) 12.0762 + 6.87795i 0.557032 + 0.317256i
\(471\) 21.7766 27.7801i 1.00341 1.28004i
\(472\) −2.79554 + 15.4739i −0.128675 + 0.712243i
\(473\) 0.242864 + 0.363472i 0.0111669 + 0.0167125i
\(474\) −16.2158 + 16.0714i −0.744815 + 0.738184i
\(475\) 26.3541 7.99442i 1.20921 0.366809i
\(476\) 14.0666 + 10.5335i 0.644741 + 0.482804i
\(477\) −11.5436 + 10.3720i −0.528546 + 0.474900i
\(478\) 0.517689 19.2740i 0.0236785 0.881572i
\(479\) 16.8823 16.8823i 0.771371 0.771371i −0.206975 0.978346i \(-0.566362\pi\)
0.978346 + 0.206975i \(0.0663619\pi\)
\(480\) 8.03108 5.20839i 0.366567 0.237729i
\(481\) 14.0446 + 14.0446i 0.640377 + 0.640377i
\(482\) 22.5149 21.3371i 1.02553 0.971876i
\(483\) 37.5414 + 35.8974i 1.70819 + 1.63339i
\(484\) −18.9026 + 11.2115i −0.859211 + 0.509612i
\(485\) −1.27807 4.21323i −0.0580342 0.191313i
\(486\) 21.0104 + 6.67564i 0.953050 + 0.302813i
\(487\) 25.1091 16.7774i 1.13780 0.760255i 0.163732 0.986505i \(-0.447647\pi\)
0.974069 + 0.226250i \(0.0726466\pi\)
\(488\) 5.03957 2.19224i 0.228131 0.0992382i
\(489\) −25.4687 + 32.4901i −1.15174 + 1.46925i
\(490\) 4.02485 + 14.6757i 0.181824 + 0.662980i
\(491\) 0.652571 6.62566i 0.0294501 0.299012i −0.969165 0.246411i \(-0.920749\pi\)
0.998616 0.0526012i \(-0.0167512\pi\)
\(492\) −1.75587 10.5432i −0.0791607 0.475325i
\(493\) −21.0491 6.38517i −0.948003 0.287574i
\(494\) 6.84771 30.1682i 0.308093 1.35733i
\(495\) −0.302459 + 0.0743737i −0.0135945 + 0.00334285i
\(496\) 18.1302 + 22.5125i 0.814069 + 1.01084i
\(497\) 24.0221 + 9.95027i 1.07754 + 0.446331i
\(498\) −13.1124 + 15.8327i −0.587582 + 0.709478i
\(499\) 9.42963 + 17.6416i 0.422128 + 0.789746i 0.999645 0.0266323i \(-0.00847833\pi\)
−0.577517 + 0.816379i \(0.695978\pi\)
\(500\) −11.9296 + 13.0407i −0.533508 + 0.583199i
\(501\) −19.7436 + 13.8412i −0.882079 + 0.618381i
\(502\) 17.0049 13.2077i 0.758966 0.589488i
\(503\) −1.73883 + 0.345875i −0.0775305 + 0.0154218i −0.233703 0.972308i \(-0.575084\pi\)
0.156173 + 0.987730i \(0.450084\pi\)
\(504\) 5.75745 + 35.5511i 0.256457 + 1.58357i
\(505\) −0.729390 + 3.66689i −0.0324574 + 0.163175i
\(506\) −1.00754 0.335427i −0.0447904 0.0149116i
\(507\) 2.48656 3.90800i 0.110432 0.173560i
\(508\) −14.5824 + 13.0945i −0.646988 + 0.580975i
\(509\) −1.46140 14.8379i −0.0647755 0.657676i −0.971674 0.236327i \(-0.924056\pi\)
0.906898 0.421350i \(-0.138444\pi\)
\(510\) 4.35865 + 2.35486i 0.193004 + 0.104275i
\(511\) 27.7278i 1.22661i
\(512\) 18.2251 + 13.4107i 0.805442 + 0.592675i
\(513\) 7.97382 34.4620i 0.352053 1.52153i
\(514\) 14.6275 32.7946i 0.645193 1.44651i
\(515\) −3.75754 + 0.370085i −0.165577 + 0.0163079i
\(516\) 11.2926 8.69027i 0.497129 0.382568i
\(517\) 0.503913 0.942754i 0.0221621 0.0414623i
\(518\) −11.7193 + 35.2016i −0.514916 + 1.54667i
\(519\) −18.4739 5.15544i −0.810915 0.226299i
\(520\) 2.72679 + 8.45022i 0.119578 + 0.370567i
\(521\) 1.25239 + 6.29618i 0.0548681 + 0.275841i 0.998474 0.0552314i \(-0.0175896\pi\)
−0.943605 + 0.331072i \(0.892590\pi\)
\(522\) −21.9584 39.3686i −0.961092 1.72312i
\(523\) −20.2399 24.6624i −0.885030 1.07841i −0.996412 0.0846342i \(-0.973028\pi\)
0.111382 0.993778i \(-0.464472\pi\)
\(524\) 23.0293 + 21.0671i 1.00604 + 0.920319i
\(525\) −11.9933 27.2151i −0.523430 1.18776i
\(526\) 14.4838 20.4649i 0.631524 0.892311i
\(527\) −5.72498 + 13.8213i −0.249384 + 0.602067i
\(528\) −0.417065 0.606762i −0.0181504 0.0264059i
\(529\) 10.3029 + 24.8735i 0.447954 + 1.08146i
\(530\) −6.96972 1.58202i −0.302745 0.0687185i
\(531\) −15.0460 7.19598i −0.652939 0.312279i
\(532\) 56.1184 13.7818i 2.43304 0.597517i
\(533\) 9.86705 + 0.971819i 0.427389 + 0.0420942i
\(534\) −3.49850 18.0086i −0.151395 0.779308i
\(535\) 3.61860 5.41562i 0.156446 0.234138i
\(536\) 0.000300391 0 0.000690545i 1.29749e−5 0 2.98270e-5i
\(537\) 2.92794 + 5.19468i 0.126350 + 0.224167i
\(538\) 0.932400 + 13.0510i 0.0401986 + 0.562667i
\(539\) 1.12012 0.339784i 0.0482468 0.0146355i
\(540\) 3.07750 + 9.67511i 0.132434 + 0.416351i
\(541\) 11.3775 13.8635i 0.489155 0.596037i −0.468676 0.883370i \(-0.655269\pi\)
0.957831 + 0.287333i \(0.0927687\pi\)
\(542\) −10.6993 11.2900i −0.459576 0.484945i
\(543\) 1.40071 + 1.63093i 0.0601103 + 0.0699898i
\(544\) −1.56765 + 11.6055i −0.0672123 + 0.497584i
\(545\) −11.7182 11.7182i −0.501952 0.501952i
\(546\) −33.2317 3.42313i −1.42219 0.146496i
\(547\) −22.2473 + 27.1084i −0.951226 + 1.15907i 0.0359365 + 0.999354i \(0.488559\pi\)
−0.987163 + 0.159718i \(0.948941\pi\)
\(548\) 1.38753 1.85293i 0.0592725 0.0791531i
\(549\) 0.830371 + 5.76967i 0.0354394 + 0.246244i
\(550\) 0.459476 + 0.398201i 0.0195921 + 0.0169794i
\(551\) −60.1397 + 40.1841i −2.56204 + 1.71190i
\(552\) −8.71544 + 33.4991i −0.370954 + 1.42582i
\(553\) 21.9782 32.8927i 0.934607 1.39874i
\(554\) −8.02548 + 14.0910i −0.340970 + 0.598669i
\(555\) −1.81039 + 10.3013i −0.0768469 + 0.437265i
\(556\) 1.77480 11.5955i 0.0752685 0.491760i
\(557\) −17.5304 5.31778i −0.742786 0.225322i −0.103862 0.994592i \(-0.533120\pi\)
−0.638924 + 0.769270i \(0.720620\pi\)
\(558\) −28.1103 + 12.2380i −1.19000 + 0.518076i
\(559\) 5.05829 + 12.2118i 0.213943 + 0.516504i
\(560\) −11.8359 + 11.6192i −0.500158 + 0.491003i
\(561\) 0.172066 0.340004i 0.00726464 0.0143550i
\(562\) −13.7863 + 2.35937i −0.581540 + 0.0995239i
\(563\) −16.3347 30.5600i −0.688425 1.28795i −0.946773 0.321901i \(-0.895678\pi\)
0.258349 0.966052i \(-0.416822\pi\)
\(564\) −31.7591 14.3363i −1.33730 0.603665i
\(565\) 3.43369 + 4.18396i 0.144456 + 0.176020i
\(566\) 0.160331 1.27567i 0.00673921 0.0536206i
\(567\) −37.9812 4.07274i −1.59506 0.171039i
\(568\) 2.00186 + 17.2113i 0.0839962 + 0.722170i
\(569\) 8.64741 43.4735i 0.362518 1.82250i −0.181454 0.983399i \(-0.558080\pi\)
0.543972 0.839103i \(-0.316920\pi\)
\(570\) 15.0781 6.16671i 0.631552 0.258295i
\(571\) −7.25332 + 13.5700i −0.303542 + 0.567887i −0.986733 0.162353i \(-0.948092\pi\)
0.683191 + 0.730240i \(0.260592\pi\)
\(572\) 0.644115 0.227118i 0.0269318 0.00949627i
\(573\) 0.451976 + 20.1905i 0.0188816 + 0.843471i
\(574\) 6.62544 + 17.2946i 0.276540 + 0.721864i
\(575\) 28.5844i 1.19205i
\(576\) −18.8260 + 14.8857i −0.784415 + 0.620236i
\(577\) 35.9076i 1.49485i −0.664344 0.747427i \(-0.731289\pi\)
0.664344 0.747427i \(-0.268711\pi\)
\(578\) 16.7906 6.43236i 0.698399 0.267551i
\(579\) −0.289930 12.9517i −0.0120491 0.538252i
\(580\) 8.96277 18.7259i 0.372159 0.777552i
\(581\) 16.7915 31.4147i 0.696628 1.30330i
\(582\) 4.17884 + 10.2176i 0.173218 + 0.423532i
\(583\) −0.107249 + 0.539177i −0.00444180 + 0.0223304i
\(584\) −16.1401 + 8.99611i −0.667881 + 0.372262i
\(585\) −9.40847 + 0.421439i −0.388992 + 0.0174244i
\(586\) −13.0649 1.64204i −0.539706 0.0678320i
\(587\) 3.88211 + 4.73037i 0.160232 + 0.195243i 0.846937 0.531693i \(-0.178444\pi\)
−0.686706 + 0.726936i \(0.740944\pi\)
\(588\) −13.4900 35.6904i −0.556319 1.47185i
\(589\) 23.1893 + 43.3841i 0.955499 + 1.78761i
\(590\) −1.29567 7.57091i −0.0533421 0.311689i
\(591\) 2.08582 4.12160i 0.0857992 0.169540i
\(592\) −24.2927 + 4.59927i −0.998425 + 0.189029i
\(593\) 16.8857 + 40.7657i 0.693412 + 1.67404i 0.737790 + 0.675030i \(0.235869\pi\)
−0.0443782 + 0.999015i \(0.514131\pi\)
\(594\) 0.737574 0.256614i 0.0302630 0.0105290i
\(595\) −8.21455 2.49186i −0.336764 0.102156i
\(596\) −11.4341 15.5669i −0.468360 0.637645i
\(597\) −4.64366 + 26.4228i −0.190052 + 1.08141i
\(598\) −27.9009 15.8909i −1.14095 0.649826i
\(599\) −19.9241 + 29.8186i −0.814079 + 1.21835i 0.158862 + 0.987301i \(0.449217\pi\)
−0.972941 + 0.231054i \(0.925783\pi\)
\(600\) 11.9505 15.8109i 0.487876 0.645478i
\(601\) −9.51963 + 6.36081i −0.388314 + 0.259463i −0.734368 0.678752i \(-0.762521\pi\)
0.346054 + 0.938215i \(0.387521\pi\)
\(602\) −16.1702 + 18.6585i −0.659049 + 0.760463i
\(603\) −0.000790587 0 0.000113781i −3.21952e−5 0 4.63353e-6i
\(604\) −0.860053 + 0.123520i −0.0349951 + 0.00502596i
\(605\) 6.81048 8.29860i 0.276886 0.337386i
\(606\) 0.960519 9.32471i 0.0390184 0.378790i
\(607\) 6.66767 + 6.66767i 0.270633 + 0.270633i 0.829355 0.558722i \(-0.188708\pi\)
−0.558722 + 0.829355i \(0.688708\pi\)
\(608\) 26.2295 + 28.1945i 1.06375 + 1.14344i
\(609\) 50.8907 + 59.2550i 2.06220 + 2.40113i
\(610\) −1.94854 + 1.84660i −0.0788940 + 0.0747667i
\(611\) 20.5053 24.9858i 0.829557 1.01082i
\(612\) −11.4328 4.85587i −0.462145 0.196287i
\(613\) 34.8802 10.5808i 1.40880 0.427354i 0.507912 0.861409i \(-0.330418\pi\)
0.900886 + 0.434055i \(0.142918\pi\)
\(614\) 28.6657 2.04796i 1.15685 0.0826491i
\(615\) 2.56361 + 4.54831i 0.103375 + 0.183406i
\(616\) 0.917860 + 0.886079i 0.0369817 + 0.0357011i
\(617\) 3.65958 5.47695i 0.147329 0.220494i −0.750464 0.660912i \(-0.770170\pi\)
0.897793 + 0.440418i \(0.145170\pi\)
\(618\) 9.29305 1.80535i 0.373821 0.0726216i
\(619\) −14.8380 1.46142i −0.596392 0.0587394i −0.204682 0.978828i \(-0.565616\pi\)
−0.391709 + 0.920089i \(0.628116\pi\)
\(620\) −12.0771 7.31475i −0.485027 0.293768i
\(621\) −31.8263 18.3031i −1.27715 0.734476i
\(622\) −7.35965 + 32.4236i −0.295095 + 1.30007i
\(623\) 12.1646 + 29.3679i 0.487364 + 1.17660i
\(624\) −8.78924 20.4544i −0.351851 0.818832i
\(625\) −4.43700 + 10.7119i −0.177480 + 0.428475i
\(626\) 14.6923 + 10.3983i 0.587222 + 0.415601i
\(627\) −0.505305 1.14663i −0.0201799 0.0457922i
\(628\) −40.7185 + 1.81190i −1.62484 + 0.0723026i
\(629\) −8.11781 9.89158i −0.323678 0.394403i
\(630\) −8.56940 15.3639i −0.341413 0.612110i
\(631\) −0.733487 3.68749i −0.0291996 0.146797i 0.963435 0.267942i \(-0.0863434\pi\)
−0.992635 + 0.121145i \(0.961343\pi\)
\(632\) 26.2771 + 2.12145i 1.04525 + 0.0843866i
\(633\) −41.2410 11.5090i −1.63918 0.457441i
\(634\) 22.4705 + 7.48084i 0.892416 + 0.297102i
\(635\) 4.51292 8.44309i 0.179090 0.335054i
\(636\) 17.7695 + 2.31408i 0.704607 + 0.0917594i
\(637\) 35.2226 3.46913i 1.39557 0.137452i
\(638\) −1.45837 0.650483i −0.0577373 0.0257529i
\(639\) −18.1676 2.77525i −0.718701 0.109787i
\(640\) −10.6035 3.11976i −0.419141 0.123320i
\(641\) 35.1912i 1.38997i 0.719024 + 0.694985i \(0.244589\pi\)
−0.719024 + 0.694985i \(0.755411\pi\)
\(642\) −7.76256 + 14.3678i −0.306364 + 0.567053i
\(643\) −3.23464 32.8419i −0.127562 1.29516i −0.819449 0.573152i \(-0.805721\pi\)
0.691888 0.722005i \(-0.256779\pi\)
\(644\) 3.21960 59.8911i 0.126870 2.36004i
\(645\) −3.73653 + 5.87250i −0.147126 + 0.231229i
\(646\) −6.29548 + 18.9100i −0.247692 + 0.744002i
\(647\) −3.45075 + 17.3481i −0.135663 + 0.682024i 0.851761 + 0.523930i \(0.175535\pi\)
−0.987424 + 0.158094i \(0.949465\pi\)
\(648\) −9.95206 23.4298i −0.390954 0.920410i
\(649\) −0.579459 + 0.115262i −0.0227458 + 0.00452441i
\(650\) 11.2773 + 14.5195i 0.442332 + 0.569502i
\(651\) 43.4991 30.4950i 1.70486 1.19519i
\(652\) 47.6221 2.11910i 1.86502 0.0829902i
\(653\) −7.81712 14.6248i −0.305908 0.572313i 0.681252 0.732049i \(-0.261436\pi\)
−0.987160 + 0.159736i \(0.948936\pi\)
\(654\) 32.0010 + 26.5028i 1.25134 + 1.03634i
\(655\) −14.0856 5.83444i −0.550370 0.227971i
\(656\) −7.91743 + 9.46772i −0.309124 + 0.369652i
\(657\) −4.67986 19.0318i −0.182579 0.742502i
\(658\) 58.8794 + 13.3647i 2.29536 + 0.521010i
\(659\) −39.5608 12.0006i −1.54107 0.467478i −0.598398 0.801199i \(-0.704196\pi\)
−0.942672 + 0.333721i \(0.891696\pi\)
\(660\) 0.292636 + 0.209080i 0.0113908 + 0.00813843i
\(661\) 1.39700 14.1840i 0.0543371 0.551694i −0.929022 0.370023i \(-0.879350\pi\)
0.983360 0.181670i \(-0.0581503\pi\)
\(662\) −9.02500 + 2.47513i −0.350766 + 0.0961987i
\(663\) 7.10848 9.06818i 0.276070 0.352179i
\(664\) 23.7340 0.418139i 0.921058 0.0162269i
\(665\) −23.4699 + 15.6821i −0.910124 + 0.608126i
\(666\) 2.10259 26.1396i 0.0814737 1.01289i
\(667\) 21.7924 + 71.8400i 0.843806 + 2.78165i
\(668\) 26.9762 + 6.88976i 1.04374 + 0.266573i
\(669\) −12.2164 11.6815i −0.472314 0.451631i
\(670\) −0.000253030 0 0.000266998i −9.77540e−6 0 1.03150e-5i
\(671\) 0.146011 + 0.146011i 0.00563671 + 0.00563671i
\(672\) 26.8199 31.7816i 1.03460 1.22600i
\(673\) 27.5946 27.5946i 1.06369 1.06369i 0.0658651 0.997829i \(-0.479019\pi\)
0.997829 0.0658651i \(-0.0209807\pi\)
\(674\) −40.1186 1.07756i −1.54531 0.0415061i
\(675\) 12.8253 + 16.6557i 0.493645 + 0.641077i
\(676\) −5.29425 + 0.760355i −0.203625 + 0.0292444i
\(677\) 35.8547 10.8764i 1.37801 0.418014i 0.487555 0.873092i \(-0.337889\pi\)
0.890451 + 0.455078i \(0.150389\pi\)
\(678\) −9.55299 9.63880i −0.366880 0.370176i
\(679\) −10.6269 15.9043i −0.407822 0.610349i
\(680\) −1.21467 5.59006i −0.0465806 0.214369i
\(681\) 12.0899 15.4229i 0.463285 0.591006i
\(682\) −0.537497 + 0.943727i −0.0205818 + 0.0361372i
\(683\) −0.662910 0.0652910i −0.0253656 0.00249829i 0.0853264 0.996353i \(-0.472807\pi\)
−0.110692 + 0.993855i \(0.535307\pi\)
\(684\) −36.1924 + 18.9311i −1.38385 + 0.723850i
\(685\) −0.328240 + 1.08206i −0.0125414 + 0.0413435i
\(686\) 12.8440 + 20.3869i 0.490387 + 0.778377i
\(687\) −13.2644 + 4.35020i −0.506070 + 0.165970i
\(688\) −16.1072 3.35889i −0.614082 0.128056i
\(689\) −6.36116 + 15.3572i −0.242341 + 0.585063i
\(690\) −1.58205 16.8341i −0.0602274 0.640862i
\(691\) 3.51810 1.88046i 0.133835 0.0715362i −0.403120 0.915147i \(-0.632074\pi\)
0.536955 + 0.843611i \(0.319574\pi\)
\(692\) 9.37645 + 20.0641i 0.356439 + 0.762722i
\(693\) −1.16365 + 0.690641i −0.0442032 + 0.0262353i
\(694\) 4.58954 36.5167i 0.174216 1.38615i
\(695\) 1.11789 + 5.61999i 0.0424038 + 0.213178i
\(696\) −17.9805 + 48.8478i −0.681550 + 1.85157i
\(697\) −6.26490 1.24617i −0.237300 0.0472019i
\(698\) 4.29999 + 8.59196i 0.162757 + 0.325210i
\(699\) 4.73019 7.43418i 0.178912 0.281186i
\(700\) −14.8261 + 30.9761i −0.560373 + 1.17079i
\(701\) 4.97277 0.489775i 0.187819 0.0184985i −0.00367036 0.999993i \(-0.501168\pi\)
0.191489 + 0.981495i \(0.438668\pi\)
\(702\) 23.3873 3.25923i 0.882697 0.123012i
\(703\) −42.0772 −1.58697
\(704\) −0.217983 + 0.821759i −0.00821555 + 0.0309712i
\(705\) 16.9720 + 1.28883i 0.639203 + 0.0485400i
\(706\) −7.30023 + 2.79666i −0.274748 + 0.105254i
\(707\) 1.59207 + 16.1646i 0.0598760 + 0.607931i
\(708\) 5.01048 + 18.5951i 0.188305 + 0.698848i
\(709\) −2.59985 1.38965i −0.0976393 0.0521893i 0.421854 0.906664i \(-0.361379\pi\)
−0.519494 + 0.854474i \(0.673879\pi\)
\(710\) −3.78803 7.56899i −0.142162 0.284059i
\(711\) −9.53378 + 26.2863i −0.357545 + 0.985812i
\(712\) −13.1480 + 16.6091i −0.492742 + 0.622452i
\(713\) 50.0774 9.96101i 1.87541 0.373043i
\(714\) 21.0904 + 4.29326i 0.789288 + 0.160671i
\(715\) −0.257892 + 0.211647i −0.00964463 + 0.00791514i
\(716\) 2.34957 6.47222i 0.0878076 0.241878i
\(717\) −9.52278 21.6090i −0.355635 0.807003i
\(718\) −4.64638 27.1498i −0.173401 1.01322i
\(719\) −17.9213 7.42325i −0.668353 0.276841i 0.0225960 0.999745i \(-0.492807\pi\)
−0.690948 + 0.722904i \(0.742807\pi\)
\(720\) 6.16284 9.97285i 0.229676 0.371666i
\(721\) −15.1548 + 6.27734i −0.564396 + 0.233780i
\(722\) 20.6108 + 32.7150i 0.767056 + 1.21753i
\(723\) 13.7492 35.4153i 0.511339 1.31711i
\(724\) 0.375588 2.45387i 0.0139586 0.0911975i
\(725\) 4.21321 42.7774i 0.156475 1.58871i
\(726\) −15.0540 + 22.3134i −0.558708 + 0.828126i
\(727\) 41.6441 + 27.8257i 1.54449 + 1.03200i 0.978168 + 0.207815i \(0.0666353\pi\)
0.566325 + 0.824182i \(0.308365\pi\)
\(728\) 21.9932 + 31.6920i 0.815122 + 1.17459i
\(729\) 26.7569 3.61497i 0.990997 0.133888i
\(730\) 5.91130 6.82093i 0.218787 0.252454i
\(731\) −2.47198 8.14902i −0.0914295 0.301403i
\(732\) 4.43089 5.06676i 0.163770 0.187273i
\(733\) −33.2281 27.2696i −1.22731 1.00723i −0.999438 0.0335345i \(-0.989324\pi\)
−0.227871 0.973691i \(-0.573176\pi\)
\(734\) −17.7593 0.477003i −0.655506 0.0176065i
\(735\) 12.1431 + 14.1389i 0.447904 + 0.521521i
\(736\) 35.9065 17.5572i 1.32353 0.647166i
\(737\) −2.00072e−5 0 2.00072e-5i −7.36973e−7 0 7.36973e-7i
\(738\) −7.46652 10.7524i −0.274846 0.395803i
\(739\) −14.5780 11.9638i −0.536259 0.440096i 0.326878 0.945067i \(-0.394003\pi\)
−0.863137 + 0.504970i \(0.831503\pi\)
\(740\) 10.3875 6.16101i 0.381853 0.226483i
\(741\) −8.22141 36.9855i −0.302021 1.35869i
\(742\) −30.9710 + 2.21266i −1.13698 + 0.0812294i
\(743\) −25.2678 37.8160i −0.926987 1.38733i −0.921934 0.387347i \(-0.873392\pi\)
−0.00505291 0.999987i \(-0.501608\pi\)
\(744\) 31.8638 + 15.4264i 1.16818 + 0.565560i
\(745\) 7.84482 + 5.24174i 0.287412 + 0.192042i
\(746\) 20.4187 5.59987i 0.747580 0.205026i
\(747\) −6.22321 + 24.3964i −0.227695 + 0.892618i
\(748\) −0.427317 + 0.104942i −0.0156243 + 0.00383707i
\(749\) 8.21415 27.0784i 0.300138 0.989424i
\(750\) −6.37615 + 20.6859i −0.232824 + 0.755344i
\(751\) −3.01912 + 1.25056i −0.110169 + 0.0456336i −0.437087 0.899419i \(-0.643990\pi\)
0.326918 + 0.945053i \(0.393990\pi\)
\(752\) 11.3236 + 38.6091i 0.412928 + 1.40793i
\(753\) 11.9075 23.5293i 0.433932 0.857455i
\(754\) −39.4123 27.8936i −1.43531 1.01583i
\(755\) 0.374310 0.200073i 0.0136225 0.00728139i
\(756\) 24.9960 + 36.3421i 0.909094 + 1.32175i
\(757\) −0.356922 + 0.292918i −0.0129726 + 0.0106463i −0.640857 0.767660i \(-0.721421\pi\)
0.627885 + 0.778306i \(0.283921\pi\)
\(758\) 16.7021 + 21.5039i 0.606647 + 0.781058i
\(759\) −1.29112 + 0.156412i −0.0468647 + 0.00567738i
\(760\) −16.7430 8.57363i −0.607334 0.310998i
\(761\) 29.1953 + 5.80731i 1.05833 + 0.210515i 0.693424 0.720530i \(-0.256101\pi\)
0.364905 + 0.931045i \(0.381101\pi\)
\(762\) −9.28480 + 22.1350i −0.336353 + 0.801868i
\(763\) −63.4953 33.9390i −2.29869 1.22867i
\(764\) 17.3510 15.5807i 0.627737 0.563689i
\(765\) 6.05886 + 0.323919i 0.219059 + 0.0117113i
\(766\) 26.8184 + 11.9620i 0.968989 + 0.432203i
\(767\) −17.8644 −0.645046
\(768\) 27.2012 + 5.30025i 0.981540 + 0.191256i
\(769\) −47.5954 −1.71634 −0.858168 0.513370i \(-0.828397\pi\)
−0.858168 + 0.513370i \(0.828397\pi\)
\(770\) −0.569137 0.253855i −0.0205103 0.00914831i
\(771\) −0.984254 43.9682i −0.0354470 1.58348i
\(772\) −11.1302 + 9.99457i −0.400584 + 0.359712i
\(773\) −29.5998 15.8214i −1.06463 0.569057i