Properties

Label 384.2.v.a.157.2
Level $384$
Weight $2$
Character 384.157
Analytic conductor $3.066$
Analytic rank $0$
Dimension $512$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(512\)
Relative dimension: \(32\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 157.2
Character \(\chi\) \(=\) 384.157
Dual form 384.2.v.a.181.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39167 - 0.251498i) q^{2} +(0.0980171 - 0.995185i) q^{3} +(1.87350 + 0.700005i) q^{4} +(-2.59468 + 1.38689i) q^{5} +(-0.386695 + 1.36032i) q^{6} +(0.265268 + 1.33359i) q^{7} +(-2.43124 - 1.44536i) q^{8} +(-0.980785 - 0.195090i) q^{9} +O(q^{10})\) \(q+(-1.39167 - 0.251498i) q^{2} +(0.0980171 - 0.995185i) q^{3} +(1.87350 + 0.700005i) q^{4} +(-2.59468 + 1.38689i) q^{5} +(-0.386695 + 1.36032i) q^{6} +(0.265268 + 1.33359i) q^{7} +(-2.43124 - 1.44536i) q^{8} +(-0.980785 - 0.195090i) q^{9} +(3.95975 - 1.27753i) q^{10} +(0.533699 - 0.650315i) q^{11} +(0.880269 - 1.79586i) q^{12} +(3.22942 - 6.04181i) q^{13} +(-0.0337699 - 1.92263i) q^{14} +(1.12589 + 2.71813i) q^{15} +(3.01999 + 2.62292i) q^{16} +(0.823388 - 1.98783i) q^{17} +(1.31587 + 0.518167i) q^{18} +(-1.67036 - 5.50644i) q^{19} +(-5.83196 + 0.782037i) q^{20} +(1.35317 - 0.133276i) q^{21} +(-0.906287 + 0.770800i) q^{22} +(4.34114 - 2.90066i) q^{23} +(-1.67670 + 2.27787i) q^{24} +(2.03108 - 3.03972i) q^{25} +(-6.01379 + 7.59602i) q^{26} +(-0.290285 + 0.956940i) q^{27} +(-0.436542 + 2.68417i) q^{28} +(2.85483 - 2.34289i) q^{29} +(-0.883259 - 4.06590i) q^{30} +(-6.18979 + 6.18979i) q^{31} +(-3.54317 - 4.40976i) q^{32} +(-0.594872 - 0.594872i) q^{33} +(-1.64582 + 2.55933i) q^{34} +(-2.53783 - 3.09235i) q^{35} +(-1.70093 - 1.05206i) q^{36} +(2.51667 + 0.763422i) q^{37} +(0.939734 + 8.08325i) q^{38} +(-5.69618 - 3.80607i) q^{39} +(8.31285 + 0.378388i) q^{40} +(-6.09075 - 9.11546i) q^{41} +(-1.91669 - 0.154844i) q^{42} +(-0.874026 - 8.87413i) q^{43} +(1.45511 - 0.844770i) q^{44} +(2.81540 - 0.854041i) q^{45} +(-6.77095 + 2.94497i) q^{46} +(0.833630 + 0.345301i) q^{47} +(2.90630 - 2.74835i) q^{48} +(4.75906 - 1.97127i) q^{49} +(-3.59107 + 3.71948i) q^{50} +(-1.89756 - 1.01426i) q^{51} +(10.2796 - 9.05871i) q^{52} +(10.5951 + 8.69519i) q^{53} +(0.644650 - 1.25874i) q^{54} +(-0.482868 + 2.42754i) q^{55} +(1.28259 - 3.62569i) q^{56} +(-5.64365 + 1.12259i) q^{57} +(-4.56221 + 2.54256i) q^{58} +(-4.50037 - 8.41960i) q^{59} +(0.206639 + 5.88053i) q^{60} +(3.34094 + 0.329054i) q^{61} +(10.1709 - 7.05743i) q^{62} -1.35972i q^{63} +(3.82188 + 7.02803i) q^{64} +20.1554i q^{65} +(0.678257 + 0.977475i) q^{66} +(-3.83692 - 0.377904i) q^{67} +(2.93411 - 3.14783i) q^{68} +(-2.46118 - 4.60455i) q^{69} +(2.75410 + 4.94179i) q^{70} +(-4.72390 + 0.939642i) q^{71} +(2.10255 + 1.89190i) q^{72} +(-0.914367 + 4.59683i) q^{73} +(-3.31037 - 1.69537i) q^{74} +(-2.82600 - 2.31924i) q^{75} +(0.725122 - 11.4856i) q^{76} +(1.00883 + 0.539229i) q^{77} +(6.96999 + 6.72937i) q^{78} +(-5.80215 + 2.40333i) q^{79} +(-11.4736 - 2.61726i) q^{80} +(0.923880 + 0.382683i) q^{81} +(6.18381 + 14.2175i) q^{82} +(1.84959 - 0.561066i) q^{83} +(2.62845 + 0.697535i) q^{84} +(0.620471 + 6.29975i) q^{85} +(-1.01547 + 12.5697i) q^{86} +(-2.05179 - 3.07072i) q^{87} +(-2.23749 + 0.809686i) q^{88} +(8.85921 + 5.91954i) q^{89} +(-4.13290 + 0.480478i) q^{90} +(8.91396 + 2.70402i) q^{91} +(10.1636 - 2.39555i) q^{92} +(5.55328 + 6.76669i) q^{93} +(-1.07330 - 0.690201i) q^{94} +(11.9709 + 11.9709i) q^{95} +(-4.73581 + 3.09387i) q^{96} +(1.57589 - 1.57589i) q^{97} +(-7.11882 + 1.54646i) q^{98} +(-0.650315 + 0.533699i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 512q + O(q^{10}) \) \( 512q - 96q^{50} - 96q^{52} - 32q^{54} - 224q^{56} - 192q^{60} - 192q^{62} - 192q^{64} - 192q^{66} - 192q^{68} - 192q^{70} - 224q^{74} - 32q^{76} - 96q^{78} - 96q^{80} + O(q^{100}) \)

Character values

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

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(1\) \(e\left(\frac{27}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39167 0.251498i −0.984060 0.177836i
\(3\) 0.0980171 0.995185i 0.0565902 0.574570i
\(4\) 1.87350 + 0.700005i 0.936749 + 0.350003i
\(5\) −2.59468 + 1.38689i −1.16038 + 0.620235i −0.935213 0.354086i \(-0.884792\pi\)
−0.225165 + 0.974321i \(0.572292\pi\)
\(6\) −0.386695 + 1.36032i −0.157867 + 0.555348i
\(7\) 0.265268 + 1.33359i 0.100262 + 0.504050i 0.997983 + 0.0634854i \(0.0202216\pi\)
−0.897721 + 0.440564i \(0.854778\pi\)
\(8\) −2.43124 1.44536i −0.859574 0.511011i
\(9\) −0.980785 0.195090i −0.326928 0.0650301i
\(10\) 3.95975 1.27753i 1.25218 0.403991i
\(11\) 0.533699 0.650315i 0.160916 0.196077i −0.686310 0.727309i \(-0.740771\pi\)
0.847227 + 0.531232i \(0.178271\pi\)
\(12\) 0.880269 1.79586i 0.254112 0.518421i
\(13\) 3.22942 6.04181i 0.895679 1.67570i 0.172531 0.985004i \(-0.444805\pi\)
0.723148 0.690693i \(-0.242695\pi\)
\(14\) −0.0337699 1.92263i −0.00902537 0.513845i
\(15\) 1.12589 + 2.71813i 0.290702 + 0.701818i
\(16\) 3.01999 + 2.62292i 0.754996 + 0.655729i
\(17\) 0.823388 1.98783i 0.199701 0.482120i −0.792026 0.610487i \(-0.790974\pi\)
0.991727 + 0.128367i \(0.0409736\pi\)
\(18\) 1.31587 + 0.518167i 0.310153 + 0.122133i
\(19\) −1.67036 5.50644i −0.383207 1.26327i −0.910474 0.413565i \(-0.864283\pi\)
0.527267 0.849700i \(-0.323217\pi\)
\(20\) −5.83196 + 0.782037i −1.30407 + 0.174869i
\(21\) 1.35317 0.133276i 0.295286 0.0290831i
\(22\) −0.906287 + 0.770800i −0.193221 + 0.164335i
\(23\) 4.34114 2.90066i 0.905191 0.604829i −0.0134558 0.999909i \(-0.504283\pi\)
0.918647 + 0.395080i \(0.129283\pi\)
\(24\) −1.67670 + 2.27787i −0.342255 + 0.464967i
\(25\) 2.03108 3.03972i 0.406215 0.607944i
\(26\) −6.01379 + 7.59602i −1.17940 + 1.48970i
\(27\) −0.290285 + 0.956940i −0.0558653 + 0.184163i
\(28\) −0.436542 + 2.68417i −0.0824987 + 0.507260i
\(29\) 2.85483 2.34289i 0.530128 0.435065i −0.330868 0.943677i \(-0.607341\pi\)
0.860996 + 0.508613i \(0.169841\pi\)
\(30\) −0.883259 4.06590i −0.161260 0.742328i
\(31\) −6.18979 + 6.18979i −1.11172 + 1.11172i −0.118800 + 0.992918i \(0.537905\pi\)
−0.992918 + 0.118800i \(0.962095\pi\)
\(32\) −3.54317 4.40976i −0.626349 0.779542i
\(33\) −0.594872 0.594872i −0.103554 0.103554i
\(34\) −1.64582 + 2.55933i −0.282256 + 0.438922i
\(35\) −2.53783 3.09235i −0.428971 0.522702i
\(36\) −1.70093 1.05206i −0.283489 0.175343i
\(37\) 2.51667 + 0.763422i 0.413737 + 0.125506i 0.490289 0.871560i \(-0.336891\pi\)
−0.0765520 + 0.997066i \(0.524391\pi\)
\(38\) 0.939734 + 8.08325i 0.152445 + 1.31128i
\(39\) −5.69618 3.80607i −0.912119 0.609458i
\(40\) 8.31285 + 0.378388i 1.31438 + 0.0598285i
\(41\) −6.09075 9.11546i −0.951216 1.42360i −0.905359 0.424647i \(-0.860398\pi\)
−0.0458568 0.998948i \(-0.514602\pi\)
\(42\) −1.91669 0.154844i −0.295751 0.0238929i
\(43\) −0.874026 8.87413i −0.133288 1.35329i −0.796399 0.604772i \(-0.793264\pi\)
0.663111 0.748521i \(-0.269236\pi\)
\(44\) 1.45511 0.844770i 0.219366 0.127354i
\(45\) 2.81540 0.854041i 0.419694 0.127313i
\(46\) −6.77095 + 2.94497i −0.998323 + 0.434213i
\(47\) 0.833630 + 0.345301i 0.121597 + 0.0503673i 0.442653 0.896693i \(-0.354038\pi\)
−0.321055 + 0.947060i \(0.604038\pi\)
\(48\) 2.90630 2.74835i 0.419488 0.396690i
\(49\) 4.75906 1.97127i 0.679866 0.281610i
\(50\) −3.59107 + 3.71948i −0.507855 + 0.526014i
\(51\) −1.89756 1.01426i −0.265711 0.142025i
\(52\) 10.2796 9.05871i 1.42552 1.25622i
\(53\) 10.5951 + 8.69519i 1.45535 + 1.19438i 0.941735 + 0.336355i \(0.109194\pi\)
0.513616 + 0.858020i \(0.328306\pi\)
\(54\) 0.644650 1.25874i 0.0877257 0.171293i
\(55\) −0.482868 + 2.42754i −0.0651099 + 0.327330i
\(56\) 1.28259 3.62569i 0.171393 0.484503i
\(57\) −5.64365 + 1.12259i −0.747520 + 0.148691i
\(58\) −4.56221 + 2.54256i −0.599048 + 0.333854i
\(59\) −4.50037 8.41960i −0.585898 1.09614i −0.983894 0.178751i \(-0.942794\pi\)
0.397996 0.917387i \(-0.369706\pi\)
\(60\) 0.206639 + 5.88053i 0.0266770 + 0.759174i
\(61\) 3.34094 + 0.329054i 0.427763 + 0.0421310i 0.309608 0.950864i \(-0.399802\pi\)
0.118155 + 0.992995i \(0.462302\pi\)
\(62\) 10.1709 7.05743i 1.29170 0.896294i
\(63\) 1.35972i 0.171308i
\(64\) 3.82188 + 7.02803i 0.477735 + 0.878504i
\(65\) 20.1554i 2.49997i
\(66\) 0.678257 + 0.977475i 0.0834876 + 0.120319i
\(67\) −3.83692 0.377904i −0.468754 0.0461683i −0.139117 0.990276i \(-0.544426\pi\)
−0.329637 + 0.944108i \(0.606926\pi\)
\(68\) 2.93411 3.14783i 0.355813 0.381730i
\(69\) −2.46118 4.60455i −0.296292 0.554323i
\(70\) 2.75410 + 4.94179i 0.329178 + 0.590657i
\(71\) −4.72390 + 0.939642i −0.560624 + 0.111515i −0.467265 0.884117i \(-0.654760\pi\)
−0.0933591 + 0.995632i \(0.529760\pi\)
\(72\) 2.10255 + 1.89190i 0.247788 + 0.222962i
\(73\) −0.914367 + 4.59683i −0.107019 + 0.538018i 0.889663 + 0.456618i \(0.150939\pi\)
−0.996681 + 0.0814006i \(0.974061\pi\)
\(74\) −3.31037 1.69537i −0.384823 0.197083i
\(75\) −2.82600 2.31924i −0.326319 0.267803i
\(76\) 0.725122 11.4856i 0.0831772 1.31749i
\(77\) 1.00883 + 0.539229i 0.114966 + 0.0614509i
\(78\) 6.96999 + 6.72937i 0.789196 + 0.761951i
\(79\) −5.80215 + 2.40333i −0.652793 + 0.270396i −0.684402 0.729105i \(-0.739937\pi\)
0.0316093 + 0.999500i \(0.489937\pi\)
\(80\) −11.4736 2.61726i −1.28279 0.292619i
\(81\) 0.923880 + 0.382683i 0.102653 + 0.0425204i
\(82\) 6.18381 + 14.2175i 0.682887 + 1.57006i
\(83\) 1.84959 0.561066i 0.203019 0.0615850i −0.187138 0.982334i \(-0.559921\pi\)
0.390156 + 0.920749i \(0.372421\pi\)
\(84\) 2.62845 + 0.697535i 0.286788 + 0.0761073i
\(85\) 0.620471 + 6.29975i 0.0672995 + 0.683303i
\(86\) −1.01547 + 12.5697i −0.109501 + 1.35542i
\(87\) −2.05179 3.07072i −0.219975 0.329216i
\(88\) −2.23749 + 0.809686i −0.238517 + 0.0863128i
\(89\) 8.85921 + 5.91954i 0.939075 + 0.627470i 0.928044 0.372470i \(-0.121489\pi\)
0.0110301 + 0.999939i \(0.496489\pi\)
\(90\) −4.13290 + 0.480478i −0.435645 + 0.0506468i
\(91\) 8.91396 + 2.70402i 0.934437 + 0.283458i
\(92\) 10.1636 2.39555i 1.05963 0.249754i
\(93\) 5.55328 + 6.76669i 0.575848 + 0.701673i
\(94\) −1.07330 0.690201i −0.110702 0.0711888i
\(95\) 11.9709 + 11.9709i 1.22819 + 1.22819i
\(96\) −4.73581 + 3.09387i −0.483347 + 0.315767i
\(97\) 1.57589 1.57589i 0.160007 0.160007i −0.622563 0.782570i \(-0.713908\pi\)
0.782570 + 0.622563i \(0.213908\pi\)
\(98\) −7.11882 + 1.54646i −0.719109 + 0.156216i
\(99\) −0.650315 + 0.533699i −0.0653591 + 0.0536388i
\(100\) 5.93304 4.27314i 0.593304 0.427314i
\(101\) −1.47613 + 4.86614i −0.146880 + 0.484199i −0.999249 0.0387415i \(-0.987665\pi\)
0.852369 + 0.522941i \(0.175165\pi\)
\(102\) 2.38569 + 1.88875i 0.236218 + 0.187015i
\(103\) −5.91273 + 8.84903i −0.582599 + 0.871921i −0.999311 0.0371176i \(-0.988182\pi\)
0.416712 + 0.909039i \(0.363182\pi\)
\(104\) −16.5841 + 10.0214i −1.62620 + 0.982684i
\(105\) −3.32621 + 2.22250i −0.324605 + 0.216894i
\(106\) −12.5581 14.7655i −1.21975 1.43415i
\(107\) −2.47512 + 0.243778i −0.239279 + 0.0235669i −0.216946 0.976184i \(-0.569609\pi\)
−0.0223333 + 0.999751i \(0.507109\pi\)
\(108\) −1.21371 + 1.58962i −0.116789 + 0.152962i
\(109\) −3.32587 10.9639i −0.318560 1.05015i −0.959299 0.282393i \(-0.908872\pi\)
0.640739 0.767759i \(-0.278628\pi\)
\(110\) 1.28252 3.25690i 0.122283 0.310533i
\(111\) 1.00642 2.42972i 0.0955254 0.230619i
\(112\) −2.69679 + 4.72320i −0.254823 + 0.446300i
\(113\) −3.11210 7.51328i −0.292762 0.706790i 0.707238 0.706976i \(-0.249941\pi\)
−1.00000 0.000185328i \(0.999941\pi\)
\(114\) 8.13644 0.142911i 0.762047 0.0133849i
\(115\) −7.24101 + 13.5470i −0.675227 + 1.26326i
\(116\) 6.98855 2.39101i 0.648870 0.222000i
\(117\) −4.34606 + 5.29569i −0.401794 + 0.489587i
\(118\) 4.14552 + 12.8492i 0.381626 + 1.18286i
\(119\) 2.86937 + 0.570754i 0.263035 + 0.0523209i
\(120\) 1.19137 8.23574i 0.108757 0.751817i
\(121\) 2.00792 + 10.0945i 0.182538 + 0.917681i
\(122\) −4.56673 1.29817i −0.413452 0.117531i
\(123\) −9.66856 + 5.16795i −0.871785 + 0.465979i
\(124\) −15.9294 + 7.26366i −1.43051 + 0.652296i
\(125\) 0.387621 3.93558i 0.0346699 0.352009i
\(126\) −0.341966 + 1.89228i −0.0304648 + 0.168578i
\(127\) 15.1530 1.34461 0.672304 0.740275i \(-0.265305\pi\)
0.672304 + 0.740275i \(0.265305\pi\)
\(128\) −3.55126 10.7419i −0.313890 0.949459i
\(129\) −8.91707 −0.785104
\(130\) 5.06905 28.0497i 0.444585 2.46012i
\(131\) −0.246518 + 2.50294i −0.0215384 + 0.218683i 0.978391 + 0.206765i \(0.0662936\pi\)
−0.999929 + 0.0119176i \(0.996206\pi\)
\(132\) −0.698077 1.53090i −0.0607598 0.133248i
\(133\) 6.90025 3.68826i 0.598327 0.319813i
\(134\) 5.24469 + 1.49090i 0.453072 + 0.128794i
\(135\) −0.573972 2.88555i −0.0493996 0.248349i
\(136\) −4.87499 + 3.64282i −0.418027 + 0.312369i
\(137\) 19.6175 + 3.90216i 1.67604 + 0.333384i 0.939378 0.342883i \(-0.111403\pi\)
0.736657 + 0.676267i \(0.236403\pi\)
\(138\) 2.26712 + 7.02701i 0.192990 + 0.598179i
\(139\) −6.56190 + 7.99570i −0.556573 + 0.678187i −0.972953 0.231004i \(-0.925799\pi\)
0.416379 + 0.909191i \(0.363299\pi\)
\(140\) −2.58995 7.57000i −0.218891 0.639782i
\(141\) 0.425348 0.795770i 0.0358208 0.0670159i
\(142\) 6.81043 0.119621i 0.571519 0.0100384i
\(143\) −2.20554 5.32465i −0.184437 0.445270i
\(144\) −2.45025 3.16169i −0.204188 0.263474i
\(145\) −4.15804 + 10.0384i −0.345306 + 0.833643i
\(146\) 2.42859 6.16732i 0.200992 0.510411i
\(147\) −1.49531 4.92936i −0.123331 0.406567i
\(148\) 4.18057 + 3.19195i 0.343641 + 0.262377i
\(149\) −9.42292 + 0.928077i −0.771956 + 0.0760310i −0.476323 0.879270i \(-0.658031\pi\)
−0.295633 + 0.955302i \(0.595531\pi\)
\(150\) 3.34958 + 3.93836i 0.273492 + 0.321565i
\(151\) 9.52394 6.36369i 0.775047 0.517870i −0.104016 0.994576i \(-0.533169\pi\)
0.879063 + 0.476706i \(0.158169\pi\)
\(152\) −3.89773 + 15.8018i −0.316148 + 1.28169i
\(153\) −1.19537 + 1.78900i −0.0966402 + 0.144632i
\(154\) −1.26834 1.00415i −0.102206 0.0809165i
\(155\) 7.47600 24.6451i 0.600487 1.97954i
\(156\) −8.00751 11.1180i −0.641114 0.890154i
\(157\) −0.895514 + 0.734929i −0.0714698 + 0.0586537i −0.669450 0.742857i \(-0.733470\pi\)
0.597980 + 0.801511i \(0.295970\pi\)
\(158\) 8.67912 1.88541i 0.690474 0.149996i
\(159\) 9.69182 9.69182i 0.768611 0.768611i
\(160\) 15.3092 + 6.52795i 1.21030 + 0.516080i
\(161\) 5.01986 + 5.01986i 0.395620 + 0.395620i
\(162\) −1.18949 0.764923i −0.0934553 0.0600981i
\(163\) −2.69591 3.28498i −0.211160 0.257299i 0.656650 0.754196i \(-0.271973\pi\)
−0.867810 + 0.496896i \(0.834473\pi\)
\(164\) −5.03014 21.3413i −0.392788 1.66648i
\(165\) 2.36852 + 0.718484i 0.184389 + 0.0559339i
\(166\) −2.71512 + 0.315652i −0.210734 + 0.0244993i
\(167\) −13.6467 9.11844i −1.05601 0.705606i −0.0988350 0.995104i \(-0.531512\pi\)
−0.957179 + 0.289498i \(0.906512\pi\)
\(168\) −3.48251 1.63179i −0.268682 0.125895i
\(169\) −18.8520 28.2140i −1.45015 2.17030i
\(170\) 0.720883 8.92322i 0.0552892 0.684380i
\(171\) 0.564012 + 5.72651i 0.0431311 + 0.437917i
\(172\) 4.57446 17.2375i 0.348799 1.31435i
\(173\) 17.8301 5.40870i 1.35560 0.411216i 0.472883 0.881125i \(-0.343213\pi\)
0.882715 + 0.469909i \(0.155713\pi\)
\(174\) 2.08314 + 4.78946i 0.157922 + 0.363088i
\(175\) 4.59252 + 1.90228i 0.347162 + 0.143799i
\(176\) 3.31749 0.564092i 0.250065 0.0425200i
\(177\) −8.82017 + 3.65343i −0.662965 + 0.274609i
\(178\) −10.8404 10.4661i −0.812519 0.784469i
\(179\) 12.3003 + 6.57465i 0.919368 + 0.491413i 0.861982 0.506939i \(-0.169223\pi\)
0.0573866 + 0.998352i \(0.481723\pi\)
\(180\) 5.87247 + 0.370749i 0.437708 + 0.0276340i
\(181\) −12.9654 10.6404i −0.963708 0.790895i 0.0142065 0.999899i \(-0.495478\pi\)
−0.977915 + 0.209004i \(0.932978\pi\)
\(182\) −11.7252 6.00495i −0.869133 0.445117i
\(183\) 0.654938 3.29260i 0.0484144 0.243396i
\(184\) −14.7469 + 0.777698i −1.08715 + 0.0573326i
\(185\) −7.58873 + 1.50949i −0.557935 + 0.110980i
\(186\) −6.02652 10.8136i −0.441886 0.792895i
\(187\) −0.853276 1.59637i −0.0623977 0.116738i
\(188\) 1.32009 + 1.23047i 0.0962775 + 0.0897409i
\(189\) −1.35317 0.133276i −0.0984286 0.00969437i
\(190\) −13.6489 19.6702i −0.990193 1.42702i
\(191\) 14.1967i 1.02724i 0.858018 + 0.513619i \(0.171695\pi\)
−0.858018 + 0.513619i \(0.828305\pi\)
\(192\) 7.36880 3.11461i 0.531797 0.224777i
\(193\) 1.29660i 0.0933316i −0.998911 0.0466658i \(-0.985140\pi\)
0.998911 0.0466658i \(-0.0148596\pi\)
\(194\) −2.58945 + 1.79679i −0.185912 + 0.129002i
\(195\) 20.0584 + 1.97558i 1.43641 + 0.141474i
\(196\) 10.2960 0.361797i 0.735427 0.0258426i
\(197\) −2.63192 4.92398i −0.187517 0.350819i 0.770543 0.637388i \(-0.219985\pi\)
−0.958060 + 0.286569i \(0.907485\pi\)
\(198\) 1.03925 0.579181i 0.0738562 0.0411606i
\(199\) −23.6161 + 4.69753i −1.67410 + 0.332999i −0.938726 0.344664i \(-0.887993\pi\)
−0.735373 + 0.677663i \(0.762993\pi\)
\(200\) −9.33153 + 4.45466i −0.659838 + 0.314992i
\(201\) −0.752168 + 3.78140i −0.0530538 + 0.266720i
\(202\) 3.27811 6.40083i 0.230647 0.450361i
\(203\) 3.88175 + 3.18567i 0.272446 + 0.223590i
\(204\) −2.84507 3.22852i −0.199195 0.226042i
\(205\) 28.4457 + 15.2045i 1.98673 + 1.06193i
\(206\) 10.4541 10.8279i 0.728371 0.754416i
\(207\) −4.82362 + 1.99801i −0.335265 + 0.138871i
\(208\) 25.6000 9.77570i 1.77504 0.677823i
\(209\) −4.47239 1.85253i −0.309362 0.128142i
\(210\) 5.18794 2.25646i 0.358002 0.155710i
\(211\) −18.6627 + 5.66128i −1.28480 + 0.389738i −0.857551 0.514398i \(-0.828015\pi\)
−0.427244 + 0.904137i \(0.640515\pi\)
\(212\) 13.7632 + 23.7070i 0.945263 + 1.62821i
\(213\) 0.472094 + 4.79325i 0.0323474 + 0.328428i
\(214\) 3.50587 + 0.283229i 0.239656 + 0.0193612i
\(215\) 14.5752 + 21.8134i 0.994024 + 1.48766i
\(216\) 2.08887 1.90699i 0.142130 0.129754i
\(217\) −9.89659 6.61269i −0.671824 0.448899i
\(218\) 1.87111 + 16.0946i 0.126727 + 1.09006i
\(219\) 4.48507 + 1.36053i 0.303073 + 0.0919362i
\(220\) −2.60394 + 4.20998i −0.175558 + 0.283837i
\(221\) −9.35106 11.3943i −0.629020 0.766463i
\(222\) −2.01168 + 3.12826i −0.135015 + 0.209955i
\(223\) 10.2371 + 10.2371i 0.685525 + 0.685525i 0.961240 0.275714i \(-0.0889144\pi\)
−0.275714 + 0.961240i \(0.588914\pi\)
\(224\) 4.94092 5.89490i 0.330129 0.393870i
\(225\) −2.58507 + 2.58507i −0.172338 + 0.172338i
\(226\) 2.44145 + 11.2387i 0.162403 + 0.747588i
\(227\) 1.56139 1.28140i 0.103633 0.0850496i −0.581150 0.813797i \(-0.697397\pi\)
0.684783 + 0.728747i \(0.259897\pi\)
\(228\) −11.3592 1.84741i −0.752281 0.122348i
\(229\) 5.38454 17.7504i 0.355820 1.17298i −0.578240 0.815867i \(-0.696260\pi\)
0.934060 0.357115i \(-0.116240\pi\)
\(230\) 13.4841 17.0318i 0.889118 1.12305i
\(231\) 0.635515 0.951115i 0.0418138 0.0625788i
\(232\) −10.3271 + 1.56990i −0.678007 + 0.103069i
\(233\) 1.98110 1.32373i 0.129786 0.0867204i −0.488982 0.872294i \(-0.662632\pi\)
0.618769 + 0.785573i \(0.287632\pi\)
\(234\) 7.38015 6.27684i 0.482455 0.410330i
\(235\) −2.64190 + 0.260204i −0.172338 + 0.0169739i
\(236\) −2.53767 18.9244i −0.165188 1.23187i
\(237\) 1.82305 + 6.00978i 0.118420 + 0.390377i
\(238\) −3.84968 1.51594i −0.249538 0.0982641i
\(239\) −6.96415 + 16.8129i −0.450473 + 1.08754i 0.521669 + 0.853148i \(0.325310\pi\)
−0.972142 + 0.234391i \(0.924690\pi\)
\(240\) −3.72927 + 11.1618i −0.240723 + 0.720492i
\(241\) 2.97020 + 7.17069i 0.191327 + 0.461905i 0.990211 0.139581i \(-0.0445756\pi\)
−0.798883 + 0.601486i \(0.794576\pi\)
\(242\) −0.255618 14.5532i −0.0164317 0.935515i
\(243\) 0.471397 0.881921i 0.0302401 0.0565753i
\(244\) 6.02890 + 2.95516i 0.385961 + 0.189184i
\(245\) −9.61433 + 11.7151i −0.614237 + 0.748450i
\(246\) 14.7552 4.76047i 0.940756 0.303516i
\(247\) −38.6632 7.69059i −2.46008 0.489340i
\(248\) 23.9953 6.10241i 1.52370 0.387504i
\(249\) −0.377073 1.89567i −0.0238960 0.120133i
\(250\) −1.52923 + 5.37955i −0.0967171 + 0.340233i
\(251\) −2.55536 + 1.36587i −0.161293 + 0.0862127i −0.550068 0.835120i \(-0.685398\pi\)
0.388775 + 0.921333i \(0.372898\pi\)
\(252\) 0.951809 2.54743i 0.0599583 0.160473i
\(253\) 0.430525 4.37119i 0.0270668 0.274814i
\(254\) −21.0880 3.81094i −1.32318 0.239120i
\(255\) 6.33023 0.396414
\(256\) 2.24062 + 15.8423i 0.140039 + 0.990146i
\(257\) 3.26443 0.203630 0.101815 0.994803i \(-0.467535\pi\)
0.101815 + 0.994803i \(0.467535\pi\)
\(258\) 12.4096 + 2.24263i 0.772590 + 0.139620i
\(259\) −0.350503 + 3.55871i −0.0217792 + 0.221128i
\(260\) −14.1089 + 37.7611i −0.874997 + 2.34185i
\(261\) −3.25705 + 1.74093i −0.201606 + 0.107761i
\(262\) 0.972556 3.42127i 0.0600847 0.211367i
\(263\) 5.15697 + 25.9258i 0.317992 + 1.59865i 0.727341 + 0.686276i \(0.240756\pi\)
−0.409349 + 0.912378i \(0.634244\pi\)
\(264\) 0.586474 + 2.30608i 0.0360950 + 0.141929i
\(265\) −39.5502 7.86703i −2.42955 0.483268i
\(266\) −10.5305 + 3.39745i −0.645664 + 0.208311i
\(267\) 6.75939 8.23634i 0.413668 0.504056i
\(268\) −6.92393 3.39387i −0.422946 0.207313i
\(269\) −7.56996 + 14.1624i −0.461549 + 0.863497i 0.538237 + 0.842794i \(0.319091\pi\)
−0.999786 + 0.0207033i \(0.993409\pi\)
\(270\) 0.0730694 + 4.16009i 0.00444686 + 0.253175i
\(271\) −3.72532 8.99371i −0.226297 0.546329i 0.769424 0.638738i \(-0.220543\pi\)
−0.995721 + 0.0924090i \(0.970543\pi\)
\(272\) 7.70054 3.84355i 0.466914 0.233050i
\(273\) 3.56472 8.60600i 0.215747 0.520859i
\(274\) −26.3197 10.3643i −1.59003 0.626129i
\(275\) −0.892791 2.94314i −0.0538373 0.177478i
\(276\) −1.38781 10.3495i −0.0835364 0.622964i
\(277\) −14.8875 + 1.46629i −0.894505 + 0.0881010i −0.534813 0.844970i \(-0.679618\pi\)
−0.359692 + 0.933071i \(0.617118\pi\)
\(278\) 11.1429 9.47708i 0.668308 0.568398i
\(279\) 7.27842 4.86328i 0.435748 0.291157i
\(280\) 1.70052 + 11.1863i 0.101625 + 0.668510i
\(281\) 6.46525 9.67593i 0.385684 0.577217i −0.586931 0.809637i \(-0.699664\pi\)
0.972616 + 0.232419i \(0.0746642\pi\)
\(282\) −0.792079 + 1.00048i −0.0471676 + 0.0595775i
\(283\) 3.90035 12.8577i 0.231852 0.764313i −0.761395 0.648289i \(-0.775485\pi\)
0.993246 0.116024i \(-0.0370151\pi\)
\(284\) −9.50797 1.54634i −0.564194 0.0917583i
\(285\) 13.0866 10.7399i 0.775183 0.636176i
\(286\) 1.73025 + 7.96485i 0.102312 + 0.470971i
\(287\) 10.5406 10.5406i 0.622192 0.622192i
\(288\) 2.61479 + 5.01626i 0.154078 + 0.295586i
\(289\) 8.74730 + 8.74730i 0.514547 + 0.514547i
\(290\) 8.31126 12.9244i 0.488054 0.758947i
\(291\) −1.41384 1.72276i −0.0828805 0.100990i
\(292\) −4.93087 + 7.97209i −0.288557 + 0.466531i
\(293\) 12.3215 + 3.73768i 0.719828 + 0.218357i 0.628885 0.777499i \(-0.283512\pi\)
0.0909432 + 0.995856i \(0.471012\pi\)
\(294\) 0.841249 + 7.23612i 0.0490626 + 0.422019i
\(295\) 23.3541 + 15.6047i 1.35973 + 0.908540i
\(296\) −5.01521 5.49355i −0.291503 0.319306i
\(297\) 0.467388 + 0.699495i 0.0271206 + 0.0405888i
\(298\) 13.3470 + 1.07827i 0.773172 + 0.0624625i
\(299\) −3.50588 35.5958i −0.202750 2.05856i
\(300\) −3.67103 6.32331i −0.211947 0.365076i
\(301\) 11.6026 3.51961i 0.668763 0.202867i
\(302\) −14.8547 + 6.46092i −0.854789 + 0.371784i
\(303\) 4.69803 + 1.94599i 0.269894 + 0.111794i
\(304\) 9.39848 21.0106i 0.539040 1.20504i
\(305\) −9.12504 + 3.77971i −0.522498 + 0.216426i
\(306\) 2.11350 2.18907i 0.120821 0.125141i
\(307\) 12.7131 + 6.79531i 0.725576 + 0.387829i 0.792453 0.609933i \(-0.208804\pi\)
−0.0668770 + 0.997761i \(0.521304\pi\)
\(308\) 1.51257 + 1.71643i 0.0861867 + 0.0978026i
\(309\) 8.22687 + 6.75162i 0.468010 + 0.384086i
\(310\) −16.6023 + 32.4176i −0.942949 + 1.84120i
\(311\) 3.97507 19.9840i 0.225406 1.13319i −0.687865 0.725839i \(-0.741452\pi\)
0.913271 0.407353i \(-0.133548\pi\)
\(312\) 8.34767 + 17.4865i 0.472594 + 0.989978i
\(313\) 4.25386 0.846145i 0.240442 0.0478269i −0.0733981 0.997303i \(-0.523384\pi\)
0.313840 + 0.949476i \(0.398384\pi\)
\(314\) 1.43109 0.797560i 0.0807613 0.0450089i
\(315\) 1.88577 + 3.52804i 0.106251 + 0.198782i
\(316\) −12.5527 + 0.441095i −0.706142 + 0.0248135i
\(317\) −11.3136 1.11429i −0.635435 0.0625849i −0.224830 0.974398i \(-0.572183\pi\)
−0.410605 + 0.911813i \(0.634683\pi\)
\(318\) −15.9253 + 11.0504i −0.893046 + 0.619673i
\(319\) 3.10694i 0.173955i
\(320\) −19.6637 12.9350i −1.09923 0.723089i
\(321\) 2.48710i 0.138816i
\(322\) −5.72350 8.24847i −0.318958 0.459669i
\(323\) −12.3213 1.21354i −0.685573 0.0675230i
\(324\) 1.46301 + 1.36368i 0.0812781 + 0.0757598i
\(325\) −11.8062 22.0879i −0.654892 1.22522i
\(326\) 2.92566 + 5.24963i 0.162037 + 0.290750i
\(327\) −11.2371 + 2.23520i −0.621413 + 0.123607i
\(328\) 1.63300 + 30.9652i 0.0901672 + 1.70977i
\(329\) −0.239355 + 1.20332i −0.0131961 + 0.0663410i
\(330\) −3.11551 1.59557i −0.171503 0.0878334i
\(331\) 21.0287 + 17.2578i 1.15584 + 0.948576i 0.999236 0.0390850i \(-0.0124443\pi\)
0.156607 + 0.987661i \(0.449944\pi\)
\(332\) 3.85795 + 0.243565i 0.211732 + 0.0133674i
\(333\) −2.31937 1.23973i −0.127101 0.0679368i
\(334\) 16.6985 + 16.1220i 0.913699 + 0.882156i
\(335\) 10.4797 4.34084i 0.572567 0.237165i
\(336\) 4.43612 + 3.14676i 0.242010 + 0.171670i
\(337\) −5.96780 2.47195i −0.325087 0.134655i 0.214171 0.976796i \(-0.431295\pi\)
−0.539258 + 0.842141i \(0.681295\pi\)
\(338\) 19.1400 + 44.0058i 1.04108 + 2.39360i
\(339\) −7.78215 + 2.36069i −0.422668 + 0.128215i
\(340\) −3.24741 + 12.2369i −0.176115 + 0.663639i
\(341\) 0.721823 + 7.32879i 0.0390889 + 0.396876i
\(342\) 0.655287 8.11127i 0.0354339 0.438607i
\(343\) 9.17922 + 13.7377i 0.495631 + 0.741764i
\(344\) −10.7013 + 22.8385i −0.576977 + 1.23137i
\(345\) 12.7720 + 8.53397i 0.687621 + 0.459454i
\(346\) −26.1739 + 3.04290i −1.40712 + 0.163587i
\(347\) −17.2415 5.23015i −0.925573 0.280769i −0.208705 0.977979i \(-0.566925\pi\)
−0.716868 + 0.697209i \(0.754425\pi\)
\(348\) −1.69450 7.18925i −0.0908349 0.385385i
\(349\) 14.6248 + 17.8204i 0.782847 + 0.953902i 0.999752 0.0222909i \(-0.00709599\pi\)
−0.216904 + 0.976193i \(0.569596\pi\)
\(350\) −5.91286 3.80237i −0.316056 0.203245i
\(351\) 4.84420 + 4.84420i 0.258564 + 0.258564i
\(352\) −4.75872 0.0493113i −0.253640 0.00262830i
\(353\) −20.1780 + 20.1780i −1.07396 + 1.07396i −0.0769283 + 0.997037i \(0.524511\pi\)
−0.997037 + 0.0769283i \(0.975489\pi\)
\(354\) 13.1936 2.86612i 0.701232 0.152333i
\(355\) 10.9538 8.98959i 0.581370 0.477118i
\(356\) 12.4540 + 17.2917i 0.660061 + 0.916460i
\(357\) 0.849253 2.79961i 0.0449473 0.148171i
\(358\) −15.4645 12.2433i −0.817323 0.647076i
\(359\) 1.29323 1.93545i 0.0682540 0.102149i −0.795772 0.605596i \(-0.792935\pi\)
0.864026 + 0.503446i \(0.167935\pi\)
\(360\) −8.07931 1.99288i −0.425817 0.105034i
\(361\) −11.7329 + 7.83967i −0.617521 + 0.412614i
\(362\) 15.3675 + 18.0687i 0.807697 + 0.949670i
\(363\) 10.2427 1.00882i 0.537602 0.0529492i
\(364\) 14.8075 + 11.3058i 0.776122 + 0.592585i
\(365\) −4.00280 13.1954i −0.209516 0.690681i
\(366\) −1.73954 + 4.41750i −0.0909273 + 0.230906i
\(367\) 12.9140 31.1772i 0.674107 1.62744i −0.100457 0.994941i \(-0.532031\pi\)
0.774564 0.632496i \(-0.217969\pi\)
\(368\) 20.7184 + 2.62651i 1.08002 + 0.136916i
\(369\) 4.19538 + 10.1286i 0.218403 + 0.527271i
\(370\) 10.9407 0.192166i 0.568778 0.00999022i
\(371\) −8.78528 + 16.4361i −0.456109 + 0.853320i
\(372\) 5.66733 + 16.5647i 0.293837 + 0.858839i
\(373\) 13.9564 17.0059i 0.722633 0.880531i −0.274066 0.961711i \(-0.588369\pi\)
0.996699 + 0.0811799i \(0.0258688\pi\)
\(374\) 0.785996 + 2.43622i 0.0406429 + 0.125974i
\(375\) −3.87864 0.771509i −0.200292 0.0398405i
\(376\) −1.52767 2.04440i −0.0787837 0.105432i
\(377\) −4.93591 24.8145i −0.254212 1.27801i
\(378\) 1.84965 + 0.525795i 0.0951357 + 0.0270440i
\(379\) 2.86341 1.53052i 0.147083 0.0786176i −0.396213 0.918158i \(-0.629676\pi\)
0.543297 + 0.839541i \(0.317176\pi\)
\(380\) 14.0477 + 30.8071i 0.720633 + 1.58037i
\(381\) 1.48525 15.0800i 0.0760917 0.772572i
\(382\) 3.57045 19.7571i 0.182680 1.01086i
\(383\) −15.8843 −0.811652 −0.405826 0.913950i \(-0.633016\pi\)
−0.405826 + 0.913950i \(0.633016\pi\)
\(384\) −11.0383 + 2.48127i −0.563294 + 0.126622i
\(385\) −3.36544 −0.171519
\(386\) −0.326094 + 1.80445i −0.0165977 + 0.0918439i
\(387\) −0.874026 + 8.87413i −0.0444292 + 0.451098i
\(388\) 4.05555 1.84929i 0.205890 0.0938836i
\(389\) −23.1522 + 12.3751i −1.17386 + 0.627443i −0.938775 0.344531i \(-0.888038\pi\)
−0.235088 + 0.971974i \(0.575538\pi\)
\(390\) −27.4178 7.79400i −1.38835 0.394664i
\(391\) −2.19158 11.0178i −0.110833 0.557196i
\(392\) −14.4196 2.08592i −0.728301 0.105355i
\(393\) 2.46672 + 0.490661i 0.124430 + 0.0247506i
\(394\) 2.42440 + 7.51449i 0.122140 + 0.378574i
\(395\) 11.7216 14.2828i 0.589778 0.718646i
\(396\) −1.59196 + 0.544661i −0.0799988 + 0.0273702i
\(397\) −9.80205 + 18.3383i −0.491951 + 0.920375i 0.506363 + 0.862321i \(0.330990\pi\)
−0.998313 + 0.0580545i \(0.981510\pi\)
\(398\) 34.0472 0.598018i 1.70663 0.0299759i
\(399\) −2.99416 7.22854i −0.149895 0.361879i
\(400\) 14.1068 3.85257i 0.705338 0.192628i
\(401\) 6.71056 16.2007i 0.335109 0.809026i −0.663061 0.748565i \(-0.730743\pi\)
0.998171 0.0604606i \(-0.0192569\pi\)
\(402\) 1.99779 5.07330i 0.0996405 0.253033i
\(403\) 17.4081 + 57.3869i 0.867161 + 2.85865i
\(404\) −6.17185 + 8.08341i −0.307061 + 0.402165i
\(405\) −2.92791 + 0.288374i −0.145489 + 0.0143294i
\(406\) −4.60094 5.40966i −0.228341 0.268477i
\(407\) 1.83961 1.22919i 0.0911860 0.0609285i
\(408\) 3.14744 + 5.20857i 0.155822 + 0.257863i
\(409\) 14.7448 22.0671i 0.729082 1.09115i −0.262907 0.964821i \(-0.584681\pi\)
0.991989 0.126327i \(-0.0403189\pi\)
\(410\) −35.7631 28.3138i −1.76622 1.39832i
\(411\) 5.80622 19.1405i 0.286400 0.944134i
\(412\) −17.2719 + 12.4397i −0.850924 + 0.612860i
\(413\) 10.0345 8.23510i 0.493765 0.405223i
\(414\) 7.21539 1.56744i 0.354617 0.0770355i
\(415\) −4.02096 + 4.02096i −0.197381 + 0.197381i
\(416\) −38.0853 + 7.16621i −1.86729 + 0.351353i
\(417\) 7.31402 + 7.31402i 0.358169 + 0.358169i
\(418\) 5.75819 + 3.70291i 0.281642 + 0.181115i
\(419\) −3.18330 3.87886i −0.155514 0.189495i 0.689425 0.724357i \(-0.257863\pi\)
−0.844939 + 0.534863i \(0.820363\pi\)
\(420\) −7.78741 + 1.83549i −0.379987 + 0.0895626i
\(421\) 36.8978 + 11.1928i 1.79829 + 0.545505i 0.998499 0.0547754i \(-0.0174443\pi\)
0.799790 + 0.600280i \(0.204944\pi\)
\(422\) 27.3962 3.18499i 1.33363 0.155043i
\(423\) −0.750247 0.501299i −0.0364782 0.0243740i
\(424\) −13.1916 36.4538i −0.640642 1.77035i
\(425\) −4.37010 6.54031i −0.211981 0.317252i
\(426\) 0.548494 6.78936i 0.0265746 0.328946i
\(427\) 0.447420 + 4.54273i 0.0216522 + 0.219838i
\(428\) −4.80778 1.27588i −0.232393 0.0616720i
\(429\) −5.51519 + 1.67301i −0.266276 + 0.0807739i
\(430\) −14.7979 34.0227i −0.713619 1.64072i
\(431\) 21.5903 + 8.94298i 1.03997 + 0.430768i 0.836300 0.548272i \(-0.184714\pi\)
0.203667 + 0.979040i \(0.434714\pi\)
\(432\) −3.38663 + 2.12855i −0.162939 + 0.102410i
\(433\) 22.1582 9.17822i 1.06485 0.441077i 0.219682 0.975572i \(-0.429498\pi\)
0.845172 + 0.534495i \(0.179498\pi\)
\(434\) 12.1097 + 11.6917i 0.581285 + 0.561218i
\(435\) 9.58250 + 5.12195i 0.459445 + 0.245579i
\(436\) 1.44379 22.8690i 0.0691452 1.09523i
\(437\) −23.2236 19.0591i −1.11094 0.911721i
\(438\) −5.89958 3.02140i −0.281893 0.144368i
\(439\) −0.602497 + 3.02896i −0.0287556 + 0.144564i −0.992496 0.122278i \(-0.960980\pi\)
0.963740 + 0.266842i \(0.0859802\pi\)
\(440\) 4.68264 5.20403i 0.223236 0.248092i
\(441\) −5.05219 + 1.00494i −0.240581 + 0.0478544i
\(442\) 10.1480 + 18.2089i 0.482689 + 0.866108i
\(443\) −1.64697 3.08126i −0.0782499 0.146395i 0.839753 0.542968i \(-0.182699\pi\)
−0.918003 + 0.396573i \(0.870199\pi\)
\(444\) 3.58635 3.84757i 0.170200 0.182598i
\(445\) −31.1966 3.07260i −1.47886 0.145655i
\(446\) −11.6720 16.8212i −0.552687 0.796509i
\(447\) 9.46852i 0.447846i
\(448\) −8.35870 + 6.96113i −0.394911 + 0.328883i
\(449\) 8.19634i 0.386809i −0.981119 0.193404i \(-0.938047\pi\)
0.981119 0.193404i \(-0.0619530\pi\)
\(450\) 4.24771 2.94743i 0.200239 0.138943i
\(451\) −9.17855 0.904008i −0.432201 0.0425681i
\(452\) −0.571180 16.2546i −0.0268661 0.764553i
\(453\) −5.39954 10.1018i −0.253693 0.474626i
\(454\) −2.49521 + 1.39060i −0.117106 + 0.0652642i
\(455\) −26.8791 + 5.34658i −1.26011 + 0.250652i
\(456\) 15.3436 + 5.42781i 0.718532 + 0.254180i
\(457\) −2.68458 + 13.4963i −0.125579 + 0.631329i 0.865809 + 0.500374i \(0.166804\pi\)
−0.991388 + 0.130955i \(0.958196\pi\)
\(458\) −11.9577 + 23.3486i −0.558747 + 1.09101i
\(459\) 1.66322 + 1.36497i 0.0776325 + 0.0637114i
\(460\) −23.0490 + 20.3115i −1.07466 + 0.947027i
\(461\) −16.4657 8.80109i −0.766883 0.409908i 0.0410686 0.999156i \(-0.486924\pi\)
−0.807952 + 0.589249i \(0.799424\pi\)
\(462\) −1.12363 + 1.16381i −0.0522761 + 0.0541453i
\(463\) 27.6072 11.4353i 1.28302 0.531443i 0.366120 0.930568i \(-0.380686\pi\)
0.916897 + 0.399125i \(0.130686\pi\)
\(464\) 14.7667 + 0.412461i 0.685529 + 0.0191480i
\(465\) −23.7936 9.85564i −1.10340 0.457044i
\(466\) −3.08996 + 1.34395i −0.143139 + 0.0622574i
\(467\) 27.7806 8.42716i 1.28553 0.389963i 0.427715 0.903914i \(-0.359319\pi\)
0.857820 + 0.513951i \(0.171819\pi\)
\(468\) −11.8494 + 6.87920i −0.547736 + 0.317991i
\(469\) −0.513842 5.21713i −0.0237270 0.240904i
\(470\) 3.74209 + 0.302314i 0.172610 + 0.0139447i
\(471\) 0.643615 + 0.963237i 0.0296562 + 0.0443836i
\(472\) −1.22785 + 26.9747i −0.0565163 + 1.24161i
\(473\) −6.23745 4.16773i −0.286798 0.191632i
\(474\) −1.02563 8.82213i −0.0471089 0.405214i
\(475\) −20.1307 6.10658i −0.923659 0.280189i
\(476\) 4.97623 + 3.07788i 0.228085 + 0.141075i
\(477\) −8.69519 10.5951i −0.398125 0.485117i
\(478\) 13.9202 21.6466i 0.636697 0.990094i
\(479\) 6.45555 + 6.45555i 0.294962 + 0.294962i 0.839037 0.544075i \(-0.183119\pi\)
−0.544075 + 0.839037i \(0.683119\pi\)
\(480\) 7.99709 14.5957i 0.365015 0.666198i
\(481\) 12.7398 12.7398i 0.580886 0.580886i
\(482\) −2.33012 10.7262i −0.106134 0.488567i
\(483\) 5.48772 4.50365i 0.249700 0.204923i
\(484\) −3.30437 + 20.3176i −0.150198 + 0.923525i
\(485\) −1.90335 + 6.27451i −0.0864268 + 0.284911i
\(486\) −0.877831 + 1.10879i −0.0398192 + 0.0502957i
\(487\) 14.3468 21.4715i 0.650115 0.972966i −0.349239 0.937034i \(-0.613560\pi\)
0.999354 0.0359325i \(-0.0114401\pi\)
\(488\) −7.64703 5.62886i −0.346165 0.254807i
\(489\) −3.53341 + 2.36095i −0.159786 + 0.106766i
\(490\) 16.3263 13.8856i 0.737548 0.627286i
\(491\) 11.3071 1.11365i 0.510282 0.0502584i 0.160400 0.987052i \(-0.448722\pi\)
0.349882 + 0.936794i \(0.386222\pi\)
\(492\) −21.7316 + 2.91410i −0.979737 + 0.131378i
\(493\) −2.30666 7.60403i −0.103887 0.342468i
\(494\) 51.8723 + 20.4265i 2.33384 + 0.919031i
\(495\) 0.947180 2.28669i 0.0425726 0.102779i
\(496\) −34.9284 + 2.45777i −1.56833 + 0.110357i
\(497\) −2.50620 6.05049i −0.112418 0.271402i
\(498\) 0.0480032 + 2.73299i 0.00215108 + 0.122468i
\(499\) −19.5564 + 36.5874i −0.875463 + 1.63788i −0.110432 + 0.993884i \(0.535223\pi\)
−0.765032 + 0.643993i \(0.777277\pi\)
\(500\) 3.48114 7.10197i 0.155681 0.317610i
\(501\) −10.4121 + 12.6872i −0.465180 + 0.566824i
\(502\) 3.89973 1.25817i 0.174053 0.0561549i
\(503\) 5.30122 + 1.05448i 0.236370 + 0.0470169i 0.311854 0.950130i \(-0.399050\pi\)
−0.0754838 + 0.997147i \(0.524050\pi\)
\(504\) −1.96528 + 3.30580i −0.0875405 + 0.147252i
\(505\) −2.91871 14.6733i −0.129881 0.652954i
\(506\) −1.69849 + 5.97498i −0.0755073 + 0.265620i
\(507\) −29.9259 + 15.9957i −1.32906 + 0.710395i
\(508\) 28.3891 + 10.6072i 1.25956 + 0.470617i
\(509\) −3.73561 + 37.9283i −0.165578 + 1.68114i 0.449970 + 0.893044i \(0.351435\pi\)
−0.615548 + 0.788100i \(0.711065\pi\)
\(510\) −8.80960 1.59204i −0.390095 0.0704967i
\(511\) −6.37284 −0.281918
\(512\) 0.866112 22.6108i 0.0382771 0.999267i
\(513\) 5.75422 0.254055
\(514\) −4.54302 0.820999i −0.200384 0.0362127i
\(515\) 3.06906 31.1607i 0.135239 1.37311i
\(516\) −16.7061 6.24200i −0.735446 0.274789i
\(517\) 0.669462 0.357835i 0.0294429 0.0157376i
\(518\) 1.38279 4.86441i 0.0607565 0.213730i
\(519\) −3.63500 18.2744i −0.159559 0.802157i
\(520\) 29.1318 49.0027i 1.27751 2.14891i
\(521\) 21.2766 + 4.23219i 0.932147 + 0.185416i 0.637729 0.770261i \(-0.279874\pi\)
0.294418 + 0.955677i \(0.404874\pi\)
\(522\) 4.97058 1.60366i 0.217556 0.0701902i
\(523\) 21.7044 26.4469i 0.949068 1.15644i −0.0385016 0.999259i \(-0.512258\pi\)
0.987569 0.157184i \(-0.0502415\pi\)
\(524\) −2.21392 + 4.51668i −0.0967155 + 0.197312i
\(525\) 2.34327 4.38395i 0.102269 0.191331i
\(526\) −0.656507 37.3772i −0.0286251 1.62972i
\(527\) 7.20767 + 17.4009i 0.313971 + 0.757993i
\(528\) −0.236205 3.35680i −0.0102795 0.146086i
\(529\) 1.62998 3.93511i 0.0708686 0.171092i
\(530\) 53.0624 + 20.8951i 2.30488 + 0.907626i
\(531\) 2.77131 + 9.13580i 0.120265 + 0.396460i
\(532\) 15.5094 2.07973i 0.672418 0.0901679i
\(533\) −74.7435 + 7.36159i −3.23750 + 0.318866i
\(534\) −11.4783 + 9.76230i −0.496713 + 0.422456i
\(535\) 6.08407 4.06524i 0.263037 0.175756i
\(536\) 8.78228 + 6.46450i 0.379337 + 0.279224i
\(537\) 7.74863 11.5967i 0.334378 0.500432i
\(538\) 14.0967 17.8056i 0.607752 0.767653i
\(539\) 1.25796 4.14695i 0.0541843 0.178622i
\(540\) 0.944566 5.80785i 0.0406477 0.249930i
\(541\) −11.3917 + 9.34891i −0.489767 + 0.401941i −0.846602 0.532226i \(-0.821356\pi\)
0.356836 + 0.934167i \(0.383856\pi\)
\(542\) 2.92252 + 13.4532i 0.125533 + 0.577865i
\(543\) −11.8600 + 11.8600i −0.508961 + 0.508961i
\(544\) −11.6833 + 3.41229i −0.500916 + 0.146301i
\(545\) 23.8353 + 23.8353i 1.02099 + 1.02099i
\(546\) −7.12531 + 11.0802i −0.304935 + 0.474189i
\(547\) −17.1044 20.8418i −0.731332 0.891131i 0.266012 0.963970i \(-0.414294\pi\)
−0.997344 + 0.0728390i \(0.976794\pi\)
\(548\) 34.0218 + 21.0430i 1.45334 + 0.898914i
\(549\) −3.21255 0.974516i −0.137108 0.0415913i
\(550\) 0.502278 + 4.32041i 0.0214172 + 0.184223i
\(551\) −17.6696 11.8065i −0.752751 0.502972i
\(552\) −0.671492 + 14.7521i −0.0285806 + 0.627890i
\(553\) −4.74418 7.10017i −0.201743 0.301930i
\(554\) 21.0873 + 1.70359i 0.895914 + 0.0723785i
\(555\) 0.758398 + 7.70015i 0.0321922 + 0.326853i
\(556\) −17.8907 + 10.3866i −0.758737 + 0.440488i
\(557\) −8.53201 + 2.58816i −0.361513 + 0.109664i −0.465816 0.884882i \(-0.654239\pi\)
0.104303 + 0.994546i \(0.466739\pi\)
\(558\) −11.3523 + 4.93758i −0.480580 + 0.209025i
\(559\) −56.4384 23.3776i −2.38709 0.988766i
\(560\) 0.446778 15.9954i 0.0188798 0.675927i
\(561\) −1.67232 + 0.692696i −0.0706052 + 0.0292456i
\(562\) −11.4310 + 11.8397i −0.482187 + 0.499428i
\(563\) −18.3161 9.79016i −0.771932 0.412606i 0.0378901 0.999282i \(-0.487936\pi\)
−0.809822 + 0.586676i \(0.800436\pi\)
\(564\) 1.35393 1.19313i 0.0570108 0.0502397i
\(565\) 18.4950 + 15.1785i 0.778091 + 0.638563i
\(566\) −8.66170 + 16.9128i −0.364079 + 0.710898i
\(567\) −0.265268 + 1.33359i −0.0111402 + 0.0560055i
\(568\) 12.8431 + 4.54323i 0.538883 + 0.190630i
\(569\) 41.0779 8.17090i 1.72208 0.342542i 0.767622 0.640903i \(-0.221440\pi\)
0.954453 + 0.298360i \(0.0964397\pi\)
\(570\) −20.9133 + 11.6551i −0.875961 + 0.488180i
\(571\) 19.5971 + 36.6636i 0.820113 + 1.53432i 0.845083 + 0.534636i \(0.179551\pi\)
−0.0249693 + 0.999688i \(0.507949\pi\)
\(572\) −0.404794 11.5196i −0.0169253 0.481659i
\(573\) 14.1283 + 1.39152i 0.590220 + 0.0581316i
\(574\) −17.3200 + 12.0181i −0.722923 + 0.501626i
\(575\) 19.0873i 0.795996i
\(576\) −2.37734 7.63860i −0.0990559 0.318275i
\(577\) 2.64771i 0.110226i 0.998480 + 0.0551128i \(0.0175518\pi\)
−0.998480 + 0.0551128i \(0.982448\pi\)
\(578\) −9.97344 14.3733i −0.414840 0.597850i
\(579\) −1.29036 0.127089i −0.0536256 0.00528166i
\(580\) −14.8170 + 15.8963i −0.615242 + 0.660056i
\(581\) 1.23887 + 2.31776i 0.0513969 + 0.0961568i
\(582\) 1.53432 + 2.75310i 0.0635997 + 0.114120i
\(583\) 11.3092 2.24954i 0.468380 0.0931665i
\(584\) 8.86712 9.85442i 0.366924 0.407779i
\(585\) 3.93213 19.7681i 0.162574 0.817312i
\(586\) −16.2074 8.30044i −0.669522 0.342888i
\(587\) 28.3833 + 23.2935i 1.17150 + 0.961428i 0.999719 0.0237071i \(-0.00754692\pi\)
0.171784 + 0.985135i \(0.445047\pi\)
\(588\) 0.649128 10.2819i 0.0267696 0.424017i
\(589\) 44.4229 + 23.7445i 1.83041 + 0.978376i
\(590\) −28.5766 27.5901i −1.17648 1.13587i
\(591\) −5.15825 + 2.13662i −0.212182 + 0.0878886i
\(592\) 5.59790 + 8.90653i 0.230072 + 0.366056i
\(593\) 2.95804 + 1.22526i 0.121472 + 0.0503155i 0.442592 0.896723i \(-0.354059\pi\)
−0.321119 + 0.947039i \(0.604059\pi\)
\(594\) −0.474528 1.09101i −0.0194701 0.0447649i
\(595\) −8.23669 + 2.49857i −0.337671 + 0.102431i
\(596\) −18.3035 4.85735i −0.749740 0.198965i
\(597\) 2.36013 + 23.9628i 0.0965936 + 0.980732i
\(598\) −4.07324 + 50.4194i −0.166567 + 2.06180i
\(599\) −10.3893 15.5486i −0.424494 0.635300i 0.556154 0.831079i \(-0.312276\pi\)
−0.980648 + 0.195779i \(0.937276\pi\)
\(600\) 3.51856 + 9.72322i 0.143645 + 0.396949i
\(601\) 22.0844 + 14.7563i 0.900842 + 0.601923i 0.917412 0.397939i \(-0.130275\pi\)
−0.0165698 + 0.999863i \(0.505275\pi\)
\(602\) −17.0322 + 1.98011i −0.694180 + 0.0807033i
\(603\) 3.68947 + 1.11919i 0.150247 + 0.0455769i
\(604\) 22.2977 5.25556i 0.907281 0.213846i
\(605\) −19.2098 23.4073i −0.780991 0.951640i
\(606\) −6.04869 3.88972i −0.245711 0.158009i
\(607\) −6.31599 6.31599i −0.256358 0.256358i 0.567213 0.823571i \(-0.308022\pi\)
−0.823571 + 0.567213i \(0.808022\pi\)
\(608\) −18.3637 + 26.8761i −0.744747 + 1.08997i
\(609\) 3.55081 3.55081i 0.143886 0.143886i
\(610\) 13.6496 2.96519i 0.552658 0.120057i
\(611\) 4.77838 3.92151i 0.193313 0.158647i
\(612\) −3.49184 + 2.51492i −0.141149 + 0.101660i
\(613\) −2.05732 + 6.78206i −0.0830942 + 0.273925i −0.988635 0.150334i \(-0.951965\pi\)
0.905541 + 0.424258i \(0.139465\pi\)
\(614\) −15.9835 12.6542i −0.645041 0.510680i
\(615\) 17.9195 26.8184i 0.722584 1.08142i
\(616\) −1.67332 2.76911i −0.0674201 0.111571i
\(617\) −22.5948 + 15.0973i −0.909631 + 0.607796i −0.919901 0.392151i \(-0.871731\pi\)
0.0102697 + 0.999947i \(0.496731\pi\)
\(618\) −9.75108 11.4651i −0.392246 0.461193i
\(619\) 15.4761 1.52427i 0.622039 0.0612655i 0.217912 0.975968i \(-0.430075\pi\)
0.404127 + 0.914703i \(0.367575\pi\)
\(620\) 31.2580 40.9392i 1.25535 1.64416i
\(621\) 1.51559 + 4.99623i 0.0608185 + 0.200492i
\(622\) −10.5579 + 26.8115i −0.423335 + 1.07504i
\(623\) −5.54417 + 13.3848i −0.222123 + 0.536252i
\(624\) −7.21939 26.4349i −0.289007 1.05824i
\(625\) 11.4476 + 27.6370i 0.457904 + 1.10548i
\(626\) −6.13277 + 0.107718i −0.245115 + 0.00430529i
\(627\) −2.28198 + 4.26928i −0.0911334 + 0.170499i
\(628\) −2.19220 + 0.750024i −0.0874782 + 0.0299292i
\(629\) 3.58975 4.37412i 0.143133 0.174408i
\(630\) −1.73708 5.38413i −0.0692071 0.214509i
\(631\) 12.2544 + 2.43754i 0.487838 + 0.0970371i 0.432880 0.901452i \(-0.357497\pi\)
0.0549584 + 0.998489i \(0.482497\pi\)
\(632\) 17.5801 + 2.54311i 0.699299 + 0.101159i
\(633\) 3.80475 + 19.1278i 0.151225 + 0.760260i
\(634\) 15.4646 + 4.39608i 0.614176 + 0.174591i
\(635\) −39.3172 + 21.0155i −1.56025 + 0.833973i
\(636\) 24.9419 11.3733i 0.989012 0.450980i
\(637\) 3.45896 35.1194i 0.137049 1.39148i
\(638\) −0.781389 + 4.32383i −0.0309355 + 0.171182i
\(639\) 4.81645 0.190536
\(640\) 24.1122 + 22.9466i 0.953119 + 0.907046i
\(641\) 36.1648 1.42842 0.714211 0.699930i \(-0.246786\pi\)
0.714211 + 0.699930i \(0.246786\pi\)
\(642\) 0.625500 3.46122i 0.0246865 0.136604i
\(643\) −1.38797 + 14.0923i −0.0547362 + 0.555746i 0.928236 + 0.371992i \(0.121325\pi\)
−0.982972 + 0.183754i \(0.941175\pi\)
\(644\) 5.89076 + 12.9186i 0.232128 + 0.509065i
\(645\) 23.1370 12.3670i 0.911018 0.486949i
\(646\) 16.8419 + 4.78762i 0.662637 + 0.188366i
\(647\) −2.24615 11.2921i −0.0883052 0.443940i −0.999490 0.0319417i \(-0.989831\pi\)
0.911185 0.411998i \(-0.135169\pi\)
\(648\) −1.69306 2.26573i −0.0665097 0.0890064i
\(649\) −7.87724 1.56688i −0.309209 0.0615054i
\(650\) 10.8753 + 33.7083i 0.426565 + 1.32215i
\(651\) −7.55088 + 9.20078i −0.295942 + 0.360607i
\(652\) −2.75128 8.04155i −0.107749 0.314932i
\(653\) 4.76743 8.91923i 0.186564 0.349036i −0.771200 0.636593i \(-0.780343\pi\)
0.957764 + 0.287557i \(0.0928430\pi\)
\(654\) 16.2005 0.284552i 0.633490 0.0111269i
\(655\) −2.83166 6.83622i −0.110642 0.267113i
\(656\) 5.51510 43.5041i 0.215328 1.69855i
\(657\) 1.79359 4.33012i 0.0699748 0.168934i
\(658\) 0.635735 1.61443i 0.0247835 0.0629368i
\(659\) −8.68982 28.6465i −0.338507 1.11591i −0.946699 0.322119i \(-0.895605\pi\)
0.608192 0.793790i \(-0.291895\pi\)
\(660\) 3.93448 + 3.00406i 0.153149 + 0.116933i
\(661\) −5.84686 + 0.575865i −0.227416 + 0.0223986i −0.211083 0.977468i \(-0.567699\pi\)
−0.0163330 + 0.999867i \(0.505199\pi\)
\(662\) −24.9248 29.3059i −0.968728 1.13901i
\(663\) −12.2560 + 8.18919i −0.475983 + 0.318042i
\(664\) −5.30774 1.30923i −0.205980 0.0508079i
\(665\) −12.7888 + 19.1397i −0.495927 + 0.742207i
\(666\) 2.91601 + 2.30862i 0.112993 + 0.0894570i
\(667\) 5.59727 18.4517i 0.216727 0.714453i
\(668\) −19.1841 26.6361i −0.742256 1.03058i
\(669\) 11.1912 9.18437i 0.432676 0.355088i
\(670\) −15.6760 + 3.40539i −0.605617 + 0.131562i
\(671\) 1.99705 1.99705i 0.0770951 0.0770951i
\(672\) −5.38222 5.49493i −0.207624 0.211972i
\(673\) 27.9171 + 27.9171i 1.07613 + 1.07613i 0.996853 + 0.0792737i \(0.0252601\pi\)
0.0792737 + 0.996853i \(0.474740\pi\)
\(674\) 7.68353 + 4.94103i 0.295959 + 0.190321i
\(675\) 2.31924 + 2.82600i 0.0892676 + 0.108773i
\(676\) −15.5692 66.0552i −0.598815 2.54059i
\(677\) −5.57494 1.69114i −0.214262 0.0649957i 0.181329 0.983423i \(-0.441960\pi\)
−0.395591 + 0.918427i \(0.629460\pi\)
\(678\) 11.4239 1.32811i 0.438732 0.0510056i
\(679\) 2.51962 + 1.68356i 0.0966942 + 0.0646090i
\(680\) 7.59687 16.2130i 0.291327 0.621741i
\(681\) −1.12219 1.67947i −0.0430023 0.0643575i
\(682\) 0.838637 10.3808i 0.0321131 0.397502i
\(683\) 4.36116 + 44.2796i 0.166875 + 1.69431i 0.605663 + 0.795721i \(0.292908\pi\)
−0.438788 + 0.898591i \(0.644592\pi\)
\(684\) −2.95191 + 11.1234i −0.112869 + 0.425314i
\(685\) −56.3130 + 17.0824i −2.15161 + 0.652684i
\(686\) −9.31945 21.4269i −0.355818 0.818082i
\(687\) −17.1372 7.09846i −0.653825 0.270823i
\(688\) 20.6366 29.0922i 0.786762 1.10913i
\(689\) 86.7507 35.9333i 3.30494 1.36895i
\(690\) −15.6281 15.0886i −0.594953 0.574414i
\(691\) −40.2580 21.5184i −1.53149 0.818597i −0.531885 0.846816i \(-0.678516\pi\)
−0.999602 + 0.0282193i \(0.991016\pi\)
\(692\) 37.1908 + 2.34798i 1.41378 + 0.0892567i
\(693\) −0.884244 0.725680i −0.0335897 0.0275663i
\(694\) 22.6791 + 11.6149i 0.860888 + 0.440894i
\(695\) 5.93693 29.8469i 0.225200 1.13216i
\(696\) 0.550107 + 10.4312i 0.0208518 + 0.395395i
\(697\) −23.1351 + 4.60185i −0.876303 + 0.174307i
\(698\) −15.8711 28.4782i −0.600731 1.07792i
\(699\) −1.12317 2.10131i −0.0424823 0.0794788i
\(700\) 7.27247 + 6.77872i 0.274873 + 0.256211i
\(701\) −30.4933 3.00333i −1.15172 0.113434i −0.495918 0.868370i \(-0.665168\pi\)
−0.655799 + 0.754935i \(0.727668\pi\)
\(702\) −5.52323 7.95985i −0.208461 0.300425i
\(703\) 15.1331i 0.570755i
\(704\) 6.61017 + 1.26543i 0.249130 + 0.0476928i
\(705\) 2.65468i 0.0999811i
\(706\) 33.1558 23.0064i 1.24784 0.865856i
\(707\) −6.88101 0.677720i −0.258787 0.0254883i
\(708\) −19.0820 + 0.670533i −0.717145 + 0.0252002i
\(709\) 3.17698 + 5.94370i 0.119314 + 0.223221i 0.934487 0.355996i \(-0.115858\pi\)
−0.815173 + 0.579217i \(0.803358\pi\)
\(710\) −17.5050 + 9.75568i −0.656952 + 0.366124i
\(711\) 6.15953 1.22521i 0.231000 0.0459488i
\(712\) −12.9830 27.1966i −0.486560 1.01923i
\(713\) −8.91629 + 44.8252i −0.333918 + 1.67872i
\(714\) −1.88598 + 3.68256i −0.0705810 + 0.137816i
\(715\) 13.1074 + 10.7569i 0.490188 + 0.402287i
\(716\) 18.4423 + 20.9279i 0.689221 + 0.782111i
\(717\) 16.0494 + 8.57857i 0.599375 + 0.320373i
\(718\) −2.28651 + 2.36827i −0.0853318 + 0.0883830i
\(719\) −15.9699 + 6.61496i −0.595578 + 0.246696i −0.660048 0.751223i \(-0.729464\pi\)
0.0644705 + 0.997920i \(0.479464\pi\)
\(720\) 10.7425 + 4.80536i 0.400351 + 0.179085i
\(721\) −13.3694 5.53780i −0.497904 0.206239i
\(722\) 18.3000 7.95945i 0.681056 0.296220i
\(723\) 7.42729 2.25304i 0.276224 0.0837916i
\(724\) −16.8422 29.0106i −0.625937 1.07817i
\(725\) −1.32338 13.4365i −0.0491490 0.499018i
\(726\) −14.5082 1.17208i −0.538449 0.0434998i
\(727\) 22.0145 + 32.9470i 0.816472 + 1.22194i 0.972203 + 0.234138i \(0.0752266\pi\)
−0.155731 + 0.987799i \(0.549773\pi\)
\(728\) −17.7637 19.4580i −0.658367 0.721162i
\(729\) −0.831470 0.555570i −0.0307952 0.0205767i
\(730\) 2.25195 + 19.3704i 0.0833482 + 0.716931i
\(731\) −18.3600 5.56943i −0.679068 0.205993i
\(732\) 3.53186 5.71021i 0.130541 0.211056i
\(733\) −7.67889 9.35675i −0.283626 0.345600i 0.611636 0.791139i \(-0.290512\pi\)
−0.895262 + 0.445540i \(0.853012\pi\)
\(734\) −25.8131 + 40.1406i −0.952778 + 1.48162i
\(735\) 10.7163 + 10.7163i 0.395277 + 0.395277i
\(736\) −28.1726 8.86587i −1.03846 0.326800i
\(737\) −2.29352 + 2.29352i −0.0844828 + 0.0844828i
\(738\) −3.29128 15.1507i −0.121154 0.557707i
\(739\) −9.79998 + 8.04263i −0.360498 + 0.295853i −0.797155 0.603775i \(-0.793662\pi\)
0.436657 + 0.899628i \(0.356162\pi\)
\(740\) −15.2741 2.48412i −0.561488 0.0913182i
\(741\) −11.4432 + 37.7232i −0.420377 + 1.38580i
\(742\) 16.3599 20.6642i 0.600589 0.758605i
\(743\) −17.6397 + 26.3996i −0.647136 + 0.968508i 0.352331 + 0.935875i \(0.385389\pi\)
−0.999467 + 0.0326326i \(0.989611\pi\)
\(744\) −3.72107 24.4779i −0.136421 0.897404i
\(745\) 23.1624 15.4766i 0.848604 0.567019i
\(746\) −23.6996 + 20.1566i −0.867704 + 0.737985i
\(747\) −1.92351 + 0.189449i −0.0703774 + 0.00693157i
\(748\) −0.481145 3.58809i −0.0175924 0.131193i
\(749\) −0.981670 3.23613i −0.0358694 0.118246i
\(750\) 5.20375 + 2.04916i 0.190014 + 0.0748246i
\(751\) 15.6515 37.7860i 0.571130 1.37883i −0.329463 0.944168i \(-0.606868\pi\)
0.900594 0.434662i \(-0.143132\pi\)
\(752\) 1.61185 + 3.22934i 0.0587783 + 0.117762i
\(753\) 1.10882 + 2.67693i 0.0404077 + 0.0975527i
\(754\) 0.628365 + 35.7750i 0.0228837 + 1.30285i
\(755\) −15.8859 + 29.7204i −0.578147 + 1.08164i
\(756\) −2.44187 1.19692i −0.0888098 0.0435315i
\(757\) −24.9562 + 30.4093i −0.907050 + 1.10524i 0.0869884 + 0.996209i \(0.472276\pi\)
−0.994038 + 0.109034i \(0.965224\pi\)
\(758\) −4.36984 + 1.40984i −0.158720 + 0.0512078i
\(759\) −4.30794 0.856903i −0.156368 0.0311036i
\(760\) −11.8019 46.4063i −0.428100 1.68333i
\(761\) −4.31904 21.7133i −0.156565 0.787106i −0.976645 0.214857i \(-0.931071\pi\)
0.820080 0.572248i \(-0.193929\pi\)
\(762\) −5.85957 + 20.6129i −0.212270 + 0.746726i
\(763\) 13.7391 7.34371i 0.497390 0.265860i
\(764\) −9.93777 + 26.5975i −0.359536 + 0.962264i
\(765\) 0.620471 6.29975i 0.0224332 0.227768i
\(766\) 22.1058 + 3.99488i 0.798714 + 0.144341i
\(767\) −65.4032 −2.36157
\(768\) 15.9857 0.677010i 0.576833 0.0244295i
\(769\) 44.7569 1.61398 0.806988 0.590568i \(-0.201096\pi\)
0.806988 + 0.590568i \(0.201096\pi\)
\(770\) 4.68358 + 0.846401i 0.168785 + 0.0305022i
\(771\) 0.319971 3.24872i 0.0115235 0.117000i
\(772\) 0.907630 2.42919i 0.0326663 0.0874283i
\(773\) 16.6543 8.90193i 0.599015 0.320180i −0.143873 0.989596i \(-0.545956\pi\)
0.742888 +