Properties

Label 552.2.bb.a.445.30
Level $552$
Weight $2$
Character 552.445
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 445.30
Character \(\chi\) \(=\) 552.445
Dual form 552.2.bb.a.325.30

$q$-expansion

\(f(q)\) \(=\) \(q+(0.404389 - 1.35516i) q^{2} +(0.909632 - 0.415415i) q^{3} +(-1.67294 - 1.09603i) q^{4} +(-0.108487 + 0.0940045i) q^{5} +(-0.195110 - 1.40069i) q^{6} +(-2.77362 - 1.78249i) q^{7} +(-2.16181 + 1.82389i) q^{8} +(0.654861 - 0.755750i) q^{9} +O(q^{10})\) \(q+(0.404389 - 1.35516i) q^{2} +(0.909632 - 0.415415i) q^{3} +(-1.67294 - 1.09603i) q^{4} +(-0.108487 + 0.0940045i) q^{5} +(-0.195110 - 1.40069i) q^{6} +(-2.77362 - 1.78249i) q^{7} +(-2.16181 + 1.82389i) q^{8} +(0.654861 - 0.755750i) q^{9} +(0.0835206 + 0.185032i) q^{10} +(0.940689 - 0.135251i) q^{11} +(-1.97706 - 0.302017i) q^{12} +(-2.98649 - 4.64707i) q^{13} +(-3.53719 + 3.03788i) q^{14} +(-0.0596324 + 0.130577i) q^{15} +(1.59745 + 3.66717i) q^{16} +(-3.68812 + 1.08293i) q^{17} +(-0.759346 - 1.19306i) q^{18} +(0.383672 - 1.30667i) q^{19} +(0.284524 - 0.0383591i) q^{20} +(-3.26344 - 0.469212i) q^{21} +(0.197117 - 1.32948i) q^{22} +(3.55955 - 3.21397i) q^{23} +(-1.20879 + 2.55711i) q^{24} +(-0.708642 + 4.92871i) q^{25} +(-7.50524 + 2.16796i) q^{26} +(0.281733 - 0.959493i) q^{27} +(2.68643 + 6.02196i) q^{28} +(-2.93873 - 10.0084i) q^{29} +(0.152838 + 0.133615i) q^{30} +(-2.26210 + 4.95331i) q^{31} +(5.61561 - 0.681842i) q^{32} +(0.799495 - 0.513804i) q^{33} +(-0.0238880 + 5.43593i) q^{34} +(0.468464 - 0.0673549i) q^{35} +(-1.92386 + 0.546578i) q^{36} +(0.129661 + 0.112352i) q^{37} +(-1.61560 - 1.04834i) q^{38} +(-4.64707 - 2.98649i) q^{39} +(0.0630753 - 0.401088i) q^{40} +(0.0574251 + 0.0662721i) q^{41} +(-1.95556 + 4.23276i) q^{42} +(7.05688 - 3.22277i) q^{43} +(-1.72195 - 0.804754i) q^{44} +0.143549i q^{45} +(-2.91601 - 6.12347i) q^{46} +9.35052 q^{47} +(2.97649 + 2.67217i) q^{48} +(1.60775 + 3.52048i) q^{49} +(6.39264 + 2.95344i) q^{50} +(-2.90496 + 2.51717i) q^{51} +(-0.0970977 + 11.0475i) q^{52} +(-0.253926 + 0.395116i) q^{53} +(-1.18634 - 0.769802i) q^{54} +(-0.0893383 + 0.103102i) q^{55} +(9.24711 - 1.20533i) q^{56} +(-0.193809 - 1.34797i) q^{57} +(-14.7514 - 0.0648245i) q^{58} +(-4.42093 - 6.87910i) q^{59} +(0.242877 - 0.153088i) q^{60} +(8.48583 + 3.87535i) q^{61} +(5.79778 + 5.06858i) q^{62} +(-3.16345 + 0.928873i) q^{63} +(1.34688 - 7.88580i) q^{64} +(0.760840 + 0.223403i) q^{65} +(-0.372982 - 1.29122i) q^{66} +(7.17960 + 1.03227i) q^{67} +(7.35691 + 2.23060i) q^{68} +(1.90275 - 4.40222i) q^{69} +(0.0981647 - 0.662083i) q^{70} +(1.19801 - 8.33236i) q^{71} +(-0.0372869 + 2.82818i) q^{72} +(-2.96433 - 0.870405i) q^{73} +(0.204689 - 0.130278i) q^{74} +(1.40286 + 4.77769i) q^{75} +(-2.07400 + 1.76546i) q^{76} +(-2.85019 - 1.30164i) q^{77} +(-5.92640 + 5.08983i) q^{78} +(-7.03747 + 4.52270i) q^{79} +(-0.518033 - 0.247673i) q^{80} +(-0.142315 - 0.989821i) q^{81} +(0.113032 - 0.0510207i) q^{82} +(4.41329 + 3.82414i) q^{83} +(4.94527 + 4.36179i) q^{84} +(0.298312 - 0.464183i) q^{85} +(-1.51366 - 10.8665i) q^{86} +(-6.83081 - 7.88317i) q^{87} +(-1.78691 + 2.00809i) q^{88} +(-4.52685 - 9.91243i) q^{89} +(0.194532 + 0.0580496i) q^{90} +18.2126i q^{91} +(-9.47751 + 1.47540i) q^{92} +5.44540i q^{93} +(3.78125 - 12.6715i) q^{94} +(0.0812093 + 0.177823i) q^{95} +(4.82489 - 2.95303i) q^{96} +(5.79340 + 6.68594i) q^{97} +(5.42099 - 0.755121i) q^{98} +(0.513804 - 0.799495i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{3}{11}\right)\) \(1\) \(-1\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.404389 1.35516i 0.285946 0.958246i
\(3\) 0.909632 0.415415i 0.525176 0.239840i
\(4\) −1.67294 1.09603i −0.836469 0.548014i
\(5\) −0.108487 + 0.0940045i −0.0485169 + 0.0420401i −0.678782 0.734340i \(-0.737492\pi\)
0.630265 + 0.776380i \(0.282946\pi\)
\(6\) −0.195110 1.40069i −0.0796534 0.571829i
\(7\) −2.77362 1.78249i −1.04833 0.673719i −0.101295 0.994856i \(-0.532299\pi\)
−0.947033 + 0.321137i \(0.895935\pi\)
\(8\) −2.16181 + 1.82389i −0.764317 + 0.644841i
\(9\) 0.654861 0.755750i 0.218287 0.251917i
\(10\) 0.0835206 + 0.185032i 0.0264115 + 0.0585123i
\(11\) 0.940689 0.135251i 0.283628 0.0407796i 0.000967524 1.00000i \(-0.499692\pi\)
0.282661 + 0.959220i \(0.408783\pi\)
\(12\) −1.97706 0.302017i −0.570729 0.0871849i
\(13\) −2.98649 4.64707i −0.828303 1.28886i −0.954905 0.296911i \(-0.904044\pi\)
0.126603 0.991954i \(-0.459593\pi\)
\(14\) −3.53719 + 3.03788i −0.945354 + 0.811908i
\(15\) −0.0596324 + 0.130577i −0.0153970 + 0.0337147i
\(16\) 1.59745 + 3.66717i 0.399362 + 0.916793i
\(17\) −3.68812 + 1.08293i −0.894499 + 0.262649i −0.696503 0.717554i \(-0.745262\pi\)
−0.197997 + 0.980203i \(0.563443\pi\)
\(18\) −0.759346 1.19306i −0.178980 0.281207i
\(19\) 0.383672 1.30667i 0.0880205 0.299770i −0.903703 0.428159i \(-0.859162\pi\)
0.991724 + 0.128389i \(0.0409805\pi\)
\(20\) 0.284524 0.0383591i 0.0636214 0.00857737i
\(21\) −3.26344 0.469212i −0.712142 0.102391i
\(22\) 0.197117 1.32948i 0.0420256 0.283446i
\(23\) 3.55955 3.21397i 0.742218 0.670158i
\(24\) −1.20879 + 2.55711i −0.246742 + 0.521969i
\(25\) −0.708642 + 4.92871i −0.141728 + 0.985742i
\(26\) −7.50524 + 2.16796i −1.47190 + 0.425172i
\(27\) 0.281733 0.959493i 0.0542195 0.184655i
\(28\) 2.68643 + 6.02196i 0.507687 + 1.13804i
\(29\) −2.93873 10.0084i −0.545709 1.85851i −0.511826 0.859089i \(-0.671031\pi\)
−0.0338827 0.999426i \(-0.510787\pi\)
\(30\) 0.152838 + 0.133615i 0.0279043 + 0.0243947i
\(31\) −2.26210 + 4.95331i −0.406285 + 0.889640i 0.590309 + 0.807177i \(0.299006\pi\)
−0.996594 + 0.0824631i \(0.973721\pi\)
\(32\) 5.61561 0.681842i 0.992709 0.120534i
\(33\) 0.799495 0.513804i 0.139174 0.0894419i
\(34\) −0.0238880 + 5.43593i −0.00409675 + 0.932254i
\(35\) 0.468464 0.0673549i 0.0791848 0.0113851i
\(36\) −1.92386 + 0.546578i −0.320644 + 0.0910963i
\(37\) 0.129661 + 0.112352i 0.0213161 + 0.0184705i 0.665454 0.746439i \(-0.268238\pi\)
−0.644138 + 0.764910i \(0.722784\pi\)
\(38\) −1.61560 1.04834i −0.262084 0.170063i
\(39\) −4.64707 2.98649i −0.744126 0.478221i
\(40\) 0.0630753 0.401088i 0.00997308 0.0634176i
\(41\) 0.0574251 + 0.0662721i 0.00896830 + 0.0103500i 0.760216 0.649670i \(-0.225093\pi\)
−0.751248 + 0.660020i \(0.770548\pi\)
\(42\) −1.95556 + 4.23276i −0.301750 + 0.653129i
\(43\) 7.05688 3.22277i 1.07616 0.491468i 0.203143 0.979149i \(-0.434884\pi\)
0.873022 + 0.487681i \(0.162157\pi\)
\(44\) −1.72195 0.804754i −0.259594 0.121321i
\(45\) 0.143549i 0.0213990i
\(46\) −2.91601 6.12347i −0.429942 0.902857i
\(47\) 9.35052 1.36391 0.681957 0.731392i \(-0.261129\pi\)
0.681957 + 0.731392i \(0.261129\pi\)
\(48\) 2.97649 + 2.67217i 0.429619 + 0.385695i
\(49\) 1.60775 + 3.52048i 0.229679 + 0.502926i
\(50\) 6.39264 + 2.95344i 0.904056 + 0.417680i
\(51\) −2.90496 + 2.51717i −0.406776 + 0.352474i
\(52\) −0.0970977 + 11.0475i −0.0134650 + 1.53202i
\(53\) −0.253926 + 0.395116i −0.0348794 + 0.0542733i −0.858255 0.513223i \(-0.828451\pi\)
0.823376 + 0.567496i \(0.192088\pi\)
\(54\) −1.18634 0.769802i −0.161441 0.104757i
\(55\) −0.0893383 + 0.103102i −0.0120464 + 0.0139023i
\(56\) 9.24711 1.20533i 1.23570 0.161070i
\(57\) −0.193809 1.34797i −0.0256706 0.178543i
\(58\) −14.7514 0.0648245i −1.93696 0.00851188i
\(59\) −4.42093 6.87910i −0.575556 0.895582i 0.424395 0.905477i \(-0.360487\pi\)
−0.999951 + 0.00989483i \(0.996850\pi\)
\(60\) 0.242877 0.153088i 0.0313553 0.0197636i
\(61\) 8.48583 + 3.87535i 1.08650 + 0.496188i 0.876445 0.481502i \(-0.159909\pi\)
0.210055 + 0.977690i \(0.432636\pi\)
\(62\) 5.79778 + 5.06858i 0.736318 + 0.643710i
\(63\) −3.16345 + 0.928873i −0.398557 + 0.117027i
\(64\) 1.34688 7.88580i 0.168361 0.985725i
\(65\) 0.760840 + 0.223403i 0.0943706 + 0.0277097i
\(66\) −0.372982 1.29122i −0.0459109 0.158939i
\(67\) 7.17960 + 1.03227i 0.877128 + 0.126112i 0.566147 0.824304i \(-0.308433\pi\)
0.310981 + 0.950416i \(0.399342\pi\)
\(68\) 7.35691 + 2.23060i 0.892157 + 0.270500i
\(69\) 1.90275 4.40222i 0.229065 0.529965i
\(70\) 0.0981647 0.662083i 0.0117329 0.0791340i
\(71\) 1.19801 8.33236i 0.142178 0.988870i −0.786396 0.617723i \(-0.788055\pi\)
0.928574 0.371147i \(-0.121035\pi\)
\(72\) −0.0372869 + 2.82818i −0.00439430 + 0.333304i
\(73\) −2.96433 0.870405i −0.346948 0.101873i 0.103616 0.994617i \(-0.466959\pi\)
−0.450564 + 0.892744i \(0.648777\pi\)
\(74\) 0.204689 0.130278i 0.0237946 0.0151445i
\(75\) 1.40286 + 4.77769i 0.161988 + 0.551681i
\(76\) −2.07400 + 1.76546i −0.237905 + 0.202512i
\(77\) −2.85019 1.30164i −0.324809 0.148336i
\(78\) −5.92640 + 5.08983i −0.671033 + 0.576310i
\(79\) −7.03747 + 4.52270i −0.791777 + 0.508844i −0.872923 0.487858i \(-0.837778\pi\)
0.0811462 + 0.996702i \(0.474142\pi\)
\(80\) −0.518033 0.247673i −0.0579179 0.0276907i
\(81\) −0.142315 0.989821i −0.0158128 0.109980i
\(82\) 0.113032 0.0510207i 0.0124823 0.00563430i
\(83\) 4.41329 + 3.82414i 0.484422 + 0.419754i 0.862529 0.506008i \(-0.168879\pi\)
−0.378107 + 0.925762i \(0.623425\pi\)
\(84\) 4.94527 + 4.36179i 0.539574 + 0.475910i
\(85\) 0.298312 0.464183i 0.0323565 0.0503477i
\(86\) −1.51366 10.8665i −0.163222 1.17176i
\(87\) −6.83081 7.88317i −0.732340 0.845165i
\(88\) −1.78691 + 2.00809i −0.190486 + 0.214064i
\(89\) −4.52685 9.91243i −0.479846 1.05072i −0.982506 0.186231i \(-0.940373\pi\)
0.502660 0.864484i \(-0.332355\pi\)
\(90\) 0.194532 + 0.0580496i 0.0205055 + 0.00611897i
\(91\) 18.2126i 1.90920i
\(92\) −9.47751 + 1.47540i −0.988099 + 0.153822i
\(93\) 5.44540i 0.564661i
\(94\) 3.78125 12.6715i 0.390006 1.30696i
\(95\) 0.0812093 + 0.177823i 0.00833189 + 0.0182443i
\(96\) 4.82489 2.95303i 0.492439 0.301393i
\(97\) 5.79340 + 6.68594i 0.588230 + 0.678854i 0.969353 0.245670i \(-0.0790081\pi\)
−0.381123 + 0.924524i \(0.624463\pi\)
\(98\) 5.42099 0.755121i 0.547602 0.0762787i
\(99\) 0.513804 0.799495i 0.0516393 0.0803523i
\(100\) 6.58751 7.46874i 0.658751 0.746874i
\(101\) −0.138897 0.120355i −0.0138208 0.0119758i 0.647923 0.761706i \(-0.275638\pi\)
−0.661744 + 0.749730i \(0.730183\pi\)
\(102\) 2.23644 + 4.95462i 0.221440 + 0.490580i
\(103\) 2.42520 + 16.8677i 0.238962 + 1.66202i 0.657225 + 0.753694i \(0.271730\pi\)
−0.418263 + 0.908326i \(0.637361\pi\)
\(104\) 14.9319 + 4.59908i 1.46420 + 0.450977i
\(105\) 0.398149 0.255875i 0.0388554 0.0249708i
\(106\) 0.432762 + 0.503891i 0.0420336 + 0.0489422i
\(107\) 15.6500 + 7.14713i 1.51295 + 0.690939i 0.987168 0.159682i \(-0.0510470\pi\)
0.525778 + 0.850622i \(0.323774\pi\)
\(108\) −1.52295 + 1.29639i −0.146546 + 0.124745i
\(109\) −5.48856 18.6923i −0.525708 1.79040i −0.608174 0.793804i \(-0.708098\pi\)
0.0824656 0.996594i \(-0.473721\pi\)
\(110\) 0.103593 + 0.162761i 0.00987716 + 0.0155187i
\(111\) 0.164617 + 0.0483358i 0.0156247 + 0.00458783i
\(112\) 2.10600 13.0188i 0.198999 1.23016i
\(113\) 0.946376 6.58219i 0.0890276 0.619201i −0.895643 0.444774i \(-0.853284\pi\)
0.984670 0.174426i \(-0.0558070\pi\)
\(114\) −1.90510 0.282462i −0.178429 0.0264550i
\(115\) −0.0840378 + 0.683288i −0.00783656 + 0.0637169i
\(116\) −6.05316 + 19.9644i −0.562022 + 1.85365i
\(117\) −5.46775 0.786144i −0.505494 0.0726790i
\(118\) −11.1101 + 3.20925i −1.02277 + 0.295435i
\(119\) 12.1597 + 3.57042i 1.11468 + 0.327300i
\(120\) −0.109243 0.391045i −0.00997245 0.0356974i
\(121\) −9.68782 + 2.84460i −0.880711 + 0.258600i
\(122\) 8.68331 9.93255i 0.786150 0.899251i
\(123\) 0.0797662 + 0.0364280i 0.00719227 + 0.00328460i
\(124\) 9.21332 5.80726i 0.827380 0.521507i
\(125\) −0.774485 1.20512i −0.0692720 0.107789i
\(126\) −0.0204897 + 4.66262i −0.00182537 + 0.415379i
\(127\) −1.58155 10.9999i −0.140340 0.976087i −0.931309 0.364230i \(-0.881332\pi\)
0.790969 0.611857i \(-0.209577\pi\)
\(128\) −10.1419 5.01418i −0.896425 0.443195i
\(129\) 5.08038 5.86307i 0.447303 0.516215i
\(130\) 0.610423 0.940722i 0.0535376 0.0825068i
\(131\) 10.5756 16.4560i 0.923997 1.43777i 0.0250619 0.999686i \(-0.492022\pi\)
0.898935 0.438082i \(-0.144342\pi\)
\(132\) −1.90065 0.0167050i −0.165430 0.00145398i
\(133\) −3.39329 + 2.94030i −0.294235 + 0.254956i
\(134\) 4.30225 9.31210i 0.371658 0.804443i
\(135\) 0.0596324 + 0.130577i 0.00513234 + 0.0112382i
\(136\) 5.99789 9.06779i 0.514314 0.777557i
\(137\) 3.02108 0.258109 0.129054 0.991638i \(-0.458806\pi\)
0.129054 + 0.991638i \(0.458806\pi\)
\(138\) −5.19628 4.35875i −0.442336 0.371042i
\(139\) 6.44987i 0.547071i −0.961862 0.273535i \(-0.911807\pi\)
0.961862 0.273535i \(-0.0881931\pi\)
\(140\) −0.857534 0.400768i −0.0724749 0.0338711i
\(141\) 8.50554 3.88435i 0.716295 0.327121i
\(142\) −10.8073 4.99302i −0.906925 0.419005i
\(143\) −3.43787 3.96752i −0.287489 0.331780i
\(144\) 3.81757 + 1.19422i 0.318131 + 0.0995180i
\(145\) 1.25965 + 0.809528i 0.104608 + 0.0672276i
\(146\) −2.37828 + 3.66517i −0.196828 + 0.303331i
\(147\) 2.92492 + 2.53446i 0.241243 + 0.209039i
\(148\) −0.0937743 0.330070i −0.00770820 0.0271316i
\(149\) −16.2985 + 2.34338i −1.33523 + 0.191977i −0.772684 0.634791i \(-0.781086\pi\)
−0.562544 + 0.826767i \(0.690177\pi\)
\(150\) 7.04186 + 0.0309452i 0.574965 + 0.00252666i
\(151\) −4.40508 + 2.83097i −0.358480 + 0.230381i −0.707467 0.706746i \(-0.750162\pi\)
0.348987 + 0.937128i \(0.386526\pi\)
\(152\) 1.55378 + 3.52455i 0.126029 + 0.285879i
\(153\) −1.59678 + 3.49646i −0.129092 + 0.282672i
\(154\) −2.91652 + 3.33611i −0.235020 + 0.268831i
\(155\) −0.220225 0.750017i −0.0176889 0.0602428i
\(156\) 4.50099 + 10.0895i 0.360367 + 0.807808i
\(157\) 1.02875 3.50360i 0.0821032 0.279618i −0.908201 0.418535i \(-0.862544\pi\)
0.990304 + 0.138917i \(0.0443621\pi\)
\(158\) 3.28313 + 11.3659i 0.261192 + 0.904219i
\(159\) −0.0668417 + 0.464894i −0.00530089 + 0.0368685i
\(160\) −0.545125 + 0.601864i −0.0430959 + 0.0475815i
\(161\) −15.6017 + 2.56943i −1.22959 + 0.202499i
\(162\) −1.39892 0.207413i −0.109910 0.0162959i
\(163\) 14.1334 + 2.03207i 1.10701 + 0.159164i 0.671489 0.741015i \(-0.265655\pi\)
0.435521 + 0.900179i \(0.356564\pi\)
\(164\) −0.0234327 0.173809i −0.00182979 0.0135722i
\(165\) −0.0384349 + 0.130897i −0.00299215 + 0.0101903i
\(166\) 6.96702 4.43430i 0.540746 0.344168i
\(167\) 5.63926 1.65584i 0.436379 0.128132i −0.0561620 0.998422i \(-0.517886\pi\)
0.492541 + 0.870289i \(0.336068\pi\)
\(168\) 7.91075 4.93780i 0.610328 0.380959i
\(169\) −7.27571 + 15.9316i −0.559670 + 1.22551i
\(170\) −0.508410 0.591973i −0.0389933 0.0454023i
\(171\) −0.736262 1.14565i −0.0563034 0.0876097i
\(172\) −15.3380 2.34304i −1.16951 0.178655i
\(173\) −3.80218 + 0.546670i −0.289074 + 0.0415626i −0.285326 0.958430i \(-0.592102\pi\)
−0.00374766 + 0.999993i \(0.501193\pi\)
\(174\) −13.4453 + 6.06900i −1.01929 + 0.460089i
\(175\) 10.7509 12.4072i 0.812691 0.937896i
\(176\) 1.99869 + 3.23361i 0.150657 + 0.243743i
\(177\) −6.87910 4.42093i −0.517065 0.332297i
\(178\) −15.2636 + 2.12615i −1.14405 + 0.159362i
\(179\) −5.49519 + 4.76161i −0.410729 + 0.355899i −0.835584 0.549362i \(-0.814871\pi\)
0.424855 + 0.905262i \(0.360325\pi\)
\(180\) 0.157333 0.240149i 0.0117269 0.0178996i
\(181\) −13.6393 + 6.22887i −1.01380 + 0.462988i −0.851836 0.523808i \(-0.824511\pi\)
−0.161967 + 0.986796i \(0.551784\pi\)
\(182\) 24.6810 + 7.36496i 1.82948 + 0.545927i
\(183\) 9.32886 0.689609
\(184\) −1.83319 + 13.4402i −0.135144 + 0.990826i
\(185\) −0.0246281 −0.00181070
\(186\) 7.37941 + 2.20206i 0.541084 + 0.161463i
\(187\) −3.32290 + 1.51752i −0.242995 + 0.110972i
\(188\) −15.6429 10.2484i −1.14087 0.747443i
\(189\) −2.49171 + 2.15908i −0.181245 + 0.157050i
\(190\) 0.273820 0.0381420i 0.0198650 0.00276711i
\(191\) 17.1045 + 10.9924i 1.23764 + 0.795382i 0.985063 0.172195i \(-0.0550859\pi\)
0.252576 + 0.967577i \(0.418722\pi\)
\(192\) −2.05071 7.73270i −0.147997 0.558059i
\(193\) 16.1374 18.6235i 1.16159 1.34055i 0.231669 0.972795i \(-0.425581\pi\)
0.929923 0.367754i \(-0.119873\pi\)
\(194\) 11.4033 5.14728i 0.818711 0.369553i
\(195\) 0.784890 0.112850i 0.0562071 0.00808136i
\(196\) 1.16888 7.65169i 0.0834911 0.546549i
\(197\) 0.662832 + 1.03139i 0.0472248 + 0.0734833i 0.864063 0.503383i \(-0.167912\pi\)
−0.816838 + 0.576867i \(0.804275\pi\)
\(198\) −0.875670 1.01960i −0.0622312 0.0724596i
\(199\) −3.25544 + 7.12842i −0.230772 + 0.505321i −0.989224 0.146408i \(-0.953229\pi\)
0.758452 + 0.651729i \(0.225956\pi\)
\(200\) −7.45745 11.9474i −0.527321 0.844812i
\(201\) 6.95962 2.04353i 0.490894 0.144139i
\(202\) −0.219269 + 0.139558i −0.0154277 + 0.00981928i
\(203\) −9.68901 + 32.9977i −0.680035 + 2.31599i
\(204\) 7.61871 1.02715i 0.533416 0.0719146i
\(205\) −0.0124598 0.00179144i −0.000870228 0.000125120i
\(206\) 23.8392 + 3.53455i 1.66095 + 0.246264i
\(207\) −0.0979429 4.79483i −0.00680750 0.333264i
\(208\) 12.2708 18.3754i 0.850829 1.27411i
\(209\) 0.184189 1.28106i 0.0127406 0.0886128i
\(210\) −0.185745 0.643031i −0.0128177 0.0443733i
\(211\) −0.969894 + 3.30315i −0.0667702 + 0.227399i −0.986118 0.166048i \(-0.946899\pi\)
0.919347 + 0.393447i \(0.128717\pi\)
\(212\) 0.857860 0.382695i 0.0589180 0.0262836i
\(213\) −2.37164 8.07706i −0.162502 0.553431i
\(214\) 16.0142 18.3181i 1.09471 1.25220i
\(215\) −0.462625 + 1.01301i −0.0315508 + 0.0690866i
\(216\) 1.14095 + 2.58809i 0.0776319 + 0.176097i
\(217\) 15.1034 9.70639i 1.02529 0.658913i
\(218\) −27.5506 0.121070i −1.86597 0.00819991i
\(219\) −3.05803 + 0.439678i −0.206642 + 0.0297107i
\(220\) 0.262460 0.0745660i 0.0176951 0.00502724i
\(221\) 16.0470 + 13.9048i 1.07943 + 0.935336i
\(222\) 0.132072 0.203536i 0.00886409 0.0136604i
\(223\) −4.11653 2.64553i −0.275663 0.177158i 0.395503 0.918465i \(-0.370570\pi\)
−0.671167 + 0.741306i \(0.734207\pi\)
\(224\) −16.7909 8.11863i −1.12189 0.542449i
\(225\) 3.26081 + 3.76317i 0.217387 + 0.250878i
\(226\) −8.53725 3.94426i −0.567889 0.262368i
\(227\) 10.6441 4.86099i 0.706473 0.322635i −0.0295772 0.999562i \(-0.509416\pi\)
0.736050 + 0.676927i \(0.236689\pi\)
\(228\) −1.15318 + 2.46749i −0.0763713 + 0.163414i
\(229\) 19.1549i 1.26579i 0.774236 + 0.632897i \(0.218134\pi\)
−0.774236 + 0.632897i \(0.781866\pi\)
\(230\) 0.891983 + 0.390199i 0.0588156 + 0.0257290i
\(231\) −3.13335 −0.206159
\(232\) 24.6072 + 16.2764i 1.61554 + 1.06860i
\(233\) −6.70109 14.6733i −0.439003 0.961282i −0.991780 0.127953i \(-0.959159\pi\)
0.552777 0.833329i \(-0.313568\pi\)
\(234\) −3.27645 + 7.09179i −0.214188 + 0.463605i
\(235\) −1.01441 + 0.878992i −0.0661728 + 0.0573391i
\(236\) −0.143735 + 16.3538i −0.00935633 + 1.06454i
\(237\) −4.52270 + 7.03747i −0.293781 + 0.457132i
\(238\) 9.75576 15.0346i 0.632372 0.974548i
\(239\) −16.3426 + 18.8604i −1.05712 + 1.21998i −0.0823835 + 0.996601i \(0.526253\pi\)
−0.974732 + 0.223376i \(0.928292\pi\)
\(240\) −0.574107 0.0100925i −0.0370584 0.000651470i
\(241\) 2.62017 + 18.2237i 0.168780 + 1.17389i 0.881410 + 0.472351i \(0.156595\pi\)
−0.712630 + 0.701540i \(0.752496\pi\)
\(242\) −0.0627481 + 14.2789i −0.00403360 + 0.917883i
\(243\) −0.540641 0.841254i −0.0346821 0.0539664i
\(244\) −9.94879 15.7839i −0.636906 1.01046i
\(245\) −0.505361 0.230791i −0.0322863 0.0147447i
\(246\) 0.0816225 0.0933652i 0.00520406 0.00595275i
\(247\) −7.21801 + 2.11940i −0.459271 + 0.134854i
\(248\) −4.14403 14.8339i −0.263146 0.941957i
\(249\) 5.60308 + 1.64521i 0.355081 + 0.104261i
\(250\) −1.94633 + 0.562216i −0.123097 + 0.0355576i
\(251\) −24.2705 3.48957i −1.53194 0.220260i −0.675831 0.737057i \(-0.736215\pi\)
−0.856108 + 0.516797i \(0.827124\pi\)
\(252\) 6.31033 + 1.91328i 0.397513 + 0.120525i
\(253\) 2.91374 3.50477i 0.183185 0.220343i
\(254\) −15.5463 2.30499i −0.975461 0.144628i
\(255\) 0.0785259 0.546159i 0.00491748 0.0342018i
\(256\) −10.8963 + 11.7162i −0.681019 + 0.732265i
\(257\) 0.190779 + 0.0560177i 0.0119004 + 0.00349429i 0.287677 0.957727i \(-0.407117\pi\)
−0.275777 + 0.961222i \(0.588935\pi\)
\(258\) −5.89097 9.25571i −0.366756 0.576235i
\(259\) −0.159363 0.542741i −0.00990235 0.0337243i
\(260\) −1.02798 1.20764i −0.0637529 0.0748947i
\(261\) −9.48831 4.33317i −0.587312 0.268216i
\(262\) −18.0239 20.9863i −1.11352 1.29654i
\(263\) 8.50529 5.46602i 0.524459 0.337049i −0.251475 0.967864i \(-0.580916\pi\)
0.775934 + 0.630815i \(0.217279\pi\)
\(264\) −0.791240 + 2.56894i −0.0486975 + 0.158107i
\(265\) −0.00959506 0.0667351i −0.000589420 0.00409950i
\(266\) 2.61238 + 5.78749i 0.160175 + 0.354854i
\(267\) −8.23554 7.13614i −0.504007 0.436725i
\(268\) −10.8796 9.59597i −0.664580 0.586167i
\(269\) −4.63488 + 7.21201i −0.282593 + 0.439724i −0.953312 0.301988i \(-0.902350\pi\)
0.670718 + 0.741712i \(0.265986\pi\)
\(270\) 0.201067 0.0280079i 0.0122366 0.00170450i
\(271\) 3.89789 + 4.49841i 0.236780 + 0.273259i 0.861687 0.507441i \(-0.169408\pi\)
−0.624906 + 0.780700i \(0.714863\pi\)
\(272\) −9.86287 11.7950i −0.598024 0.715179i
\(273\) 7.56577 + 16.5667i 0.457901 + 1.00266i
\(274\) 1.22169 4.09406i 0.0738052 0.247331i
\(275\) 4.73223i 0.285364i
\(276\) −8.00814 + 5.27918i −0.482033 + 0.317769i
\(277\) 27.8650i 1.67425i 0.547015 + 0.837123i \(0.315764\pi\)
−0.547015 + 0.837123i \(0.684236\pi\)
\(278\) −8.74063 2.60826i −0.524228 0.156433i
\(279\) 2.26210 + 4.95331i 0.135428 + 0.296547i
\(280\) −0.889884 + 1.00003i −0.0531807 + 0.0597634i
\(281\) 7.04002 + 8.12462i 0.419973 + 0.484674i 0.925829 0.377944i \(-0.123369\pi\)
−0.505856 + 0.862618i \(0.668823\pi\)
\(282\) −1.82438 13.0972i −0.108640 0.779926i
\(283\) −14.2091 + 22.1098i −0.844643 + 1.31429i 0.102909 + 0.994691i \(0.467185\pi\)
−0.947553 + 0.319600i \(0.896451\pi\)
\(284\) −11.1367 + 12.6265i −0.660841 + 0.749244i
\(285\) 0.147741 + 0.128018i 0.00875143 + 0.00758315i
\(286\) −6.76687 + 3.05446i −0.400134 + 0.180614i
\(287\) −0.0411455 0.286173i −0.00242874 0.0168923i
\(288\) 3.16214 4.69051i 0.186331 0.276391i
\(289\) −1.87185 + 1.20296i −0.110109 + 0.0707625i
\(290\) 1.60643 1.37967i 0.0943329 0.0810169i
\(291\) 8.04730 + 3.67508i 0.471741 + 0.215437i
\(292\) 4.00515 + 4.70512i 0.234384 + 0.275346i
\(293\) −3.17571 10.8155i −0.185527 0.631847i −0.998754 0.0499006i \(-0.984110\pi\)
0.813227 0.581946i \(-0.197709\pi\)
\(294\) 4.61741 2.93884i 0.269293 0.171397i
\(295\) 1.12628 + 0.330706i 0.0655745 + 0.0192544i
\(296\) −0.485220 0.00639717i −0.0282029 0.000371828i
\(297\) 0.135251 0.940689i 0.00784804 0.0545843i
\(298\) −3.41529 + 23.0348i −0.197842 + 1.33437i
\(299\) −25.5661 6.94300i −1.47852 0.401524i
\(300\) 2.88959 9.53036i 0.166830 0.550236i
\(301\) −25.3177 3.64013i −1.45929 0.209814i
\(302\) 2.05507 + 7.11442i 0.118256 + 0.409389i
\(303\) −0.176343 0.0517789i −0.0101306 0.00297462i
\(304\) 5.40468 0.680344i 0.309979 0.0390204i
\(305\) −1.28490 + 0.377282i −0.0735733 + 0.0216031i
\(306\) 4.09256 + 3.57783i 0.233956 + 0.204531i
\(307\) −24.2624 11.0803i −1.38473 0.632385i −0.422936 0.906159i \(-0.639001\pi\)
−0.961794 + 0.273774i \(0.911728\pi\)
\(308\) 3.34157 + 5.30145i 0.190403 + 0.302078i
\(309\) 9.21313 + 14.3359i 0.524116 + 0.815541i
\(310\) −1.10545 0.00485787i −0.0627855 0.000275908i
\(311\) 0.312826 + 2.17575i 0.0177387 + 0.123375i 0.996767 0.0803505i \(-0.0256040\pi\)
−0.979028 + 0.203726i \(0.934695\pi\)
\(312\) 15.4931 2.01948i 0.877124 0.114331i
\(313\) −17.4020 + 20.0830i −0.983618 + 1.13516i 0.00720274 + 0.999974i \(0.497707\pi\)
−0.990821 + 0.135182i \(0.956838\pi\)
\(314\) −4.33194 2.81094i −0.244465 0.158631i
\(315\) 0.255875 0.398149i 0.0144169 0.0224332i
\(316\) 16.7303 + 0.147044i 0.941150 + 0.00827185i
\(317\) −0.654475 + 0.567106i −0.0367590 + 0.0318518i −0.673047 0.739600i \(-0.735015\pi\)
0.636288 + 0.771452i \(0.280469\pi\)
\(318\) 0.602978 + 0.278580i 0.0338133 + 0.0156220i
\(319\) −4.11808 9.01733i −0.230568 0.504874i
\(320\) 0.595182 + 0.982121i 0.0332717 + 0.0549022i
\(321\) 17.2048 0.960278
\(322\) −2.82717 + 22.1819i −0.157552 + 1.23615i
\(323\) 5.23463i 0.291263i
\(324\) −0.846787 + 1.81189i −0.0470437 + 0.100661i
\(325\) 25.0204 11.4264i 1.38788 0.633824i
\(326\) 8.46916 18.3313i 0.469063 1.01527i
\(327\) −12.7576 14.7231i −0.705498 0.814189i
\(328\) −0.245015 0.0385312i −0.0135287 0.00212753i
\(329\) −25.9348 16.6673i −1.42983 0.918896i
\(330\) 0.161845 + 0.105019i 0.00890925 + 0.00578111i
\(331\) −18.5284 16.0550i −1.01841 0.882461i −0.0253084 0.999680i \(-0.508057\pi\)
−0.993106 + 0.117218i \(0.962602\pi\)
\(332\) −3.19181 11.2346i −0.175173 0.616581i
\(333\) 0.169820 0.0244164i 0.00930607 0.00133801i
\(334\) 0.0365255 8.31172i 0.00199859 0.454797i
\(335\) −0.875932 + 0.562927i −0.0478573 + 0.0307560i
\(336\) −3.49250 12.7172i −0.190532 0.693778i
\(337\) 8.68363 19.0145i 0.473027 1.03579i −0.511295 0.859405i \(-0.670834\pi\)
0.984322 0.176380i \(-0.0564387\pi\)
\(338\) 18.6477 + 16.3023i 1.01430 + 0.886731i
\(339\) −1.87349 6.38051i −0.101754 0.346542i
\(340\) −1.00782 + 0.449592i −0.0546565 + 0.0243825i
\(341\) −1.45799 + 4.96547i −0.0789548 + 0.268895i
\(342\) −1.85027 + 0.534469i −0.100051 + 0.0289008i
\(343\) −1.46853 + 10.2138i −0.0792931 + 0.551496i
\(344\) −9.37771 + 19.8380i −0.505612 + 1.06959i
\(345\) 0.207405 + 0.656451i 0.0111663 + 0.0353421i
\(346\) −0.796730 + 5.37364i −0.0428325 + 0.288889i
\(347\) −1.91303 0.275052i −0.102697 0.0147656i 0.0907748 0.995871i \(-0.471066\pi\)
−0.193472 + 0.981106i \(0.561975\pi\)
\(348\) 2.78736 + 20.6748i 0.149418 + 1.10829i
\(349\) 2.13481 7.27051i 0.114274 0.389181i −0.882417 0.470469i \(-0.844085\pi\)
0.996691 + 0.0812871i \(0.0259031\pi\)
\(350\) −12.4662 19.5866i −0.666349 1.04695i
\(351\) −5.30022 + 1.55628i −0.282905 + 0.0830683i
\(352\) 5.19032 1.40092i 0.276645 0.0746690i
\(353\) −2.64626 + 5.79450i −0.140846 + 0.308410i −0.966889 0.255197i \(-0.917860\pi\)
0.826043 + 0.563607i \(0.190587\pi\)
\(354\) −8.77291 + 7.53453i −0.466275 + 0.400456i
\(355\) 0.653311 + 1.01657i 0.0346742 + 0.0539540i
\(356\) −3.29114 + 21.5444i −0.174430 + 1.14185i
\(357\) 12.5441 1.80357i 0.663903 0.0954549i
\(358\) 4.23056 + 9.37242i 0.223592 + 0.495348i
\(359\) −7.31386 + 8.44064i −0.386011 + 0.445480i −0.915186 0.403033i \(-0.867956\pi\)
0.529175 + 0.848513i \(0.322502\pi\)
\(360\) −0.261817 0.310326i −0.0137990 0.0163556i
\(361\) 14.4236 + 9.26951i 0.759139 + 0.487869i
\(362\) 2.92555 + 21.0024i 0.153763 + 1.10386i
\(363\) −7.63066 + 6.61201i −0.400506 + 0.347040i
\(364\) 19.9615 30.4685i 1.04627 1.59698i
\(365\) 0.403413 0.184233i 0.0211156 0.00964317i
\(366\) 3.77249 12.6421i 0.197191 0.660815i
\(367\) 6.11889 0.319403 0.159702 0.987165i \(-0.448947\pi\)
0.159702 + 0.987165i \(0.448947\pi\)
\(368\) 17.4724 + 7.91934i 0.910811 + 0.412824i
\(369\) 0.0876906 0.00456499
\(370\) −0.00995935 + 0.0333752i −0.000517762 + 0.00173509i
\(371\) 1.40858 0.643278i 0.0731300 0.0333974i
\(372\) 5.96830 9.10982i 0.309442 0.472322i
\(373\) 25.8419 22.3921i 1.33804 1.15942i 0.364426 0.931232i \(-0.381265\pi\)
0.973617 0.228189i \(-0.0732803\pi\)
\(374\) 0.712741 + 5.11674i 0.0368550 + 0.264581i
\(375\) −1.20512 0.774485i −0.0622322 0.0399942i
\(376\) −20.2141 + 17.0543i −1.04246 + 0.879508i
\(377\) −37.7332 + 43.5465i −1.94336 + 2.24276i
\(378\) 1.91828 + 4.24978i 0.0986659 + 0.218585i
\(379\) 8.01103 1.15181i 0.411499 0.0591646i 0.0665432 0.997784i \(-0.478803\pi\)
0.344956 + 0.938619i \(0.387894\pi\)
\(380\) 0.0590412 0.386495i 0.00302875 0.0198268i
\(381\) −6.00817 9.34890i −0.307808 0.478959i
\(382\) 21.8134 18.7342i 1.11607 0.958525i
\(383\) 11.0380 24.1699i 0.564016 1.23502i −0.385907 0.922538i \(-0.626112\pi\)
0.949923 0.312484i \(-0.101161\pi\)
\(384\) −11.3084 0.347966i −0.577077 0.0177571i
\(385\) 0.431569 0.126720i 0.0219948 0.00645825i
\(386\) −18.7121 29.3999i −0.952422 1.49642i
\(387\) 2.18567 7.44370i 0.111104 0.378385i
\(388\) −2.36403 17.5349i −0.120016 0.890199i
\(389\) 30.8396 + 4.43407i 1.56363 + 0.224816i 0.869096 0.494643i \(-0.164701\pi\)
0.694535 + 0.719459i \(0.255610\pi\)
\(390\) 0.164470 1.10929i 0.00832828 0.0561711i
\(391\) −9.64755 + 15.7082i −0.487897 + 0.794399i
\(392\) −9.89661 4.67828i −0.499854 0.236289i
\(393\) 2.78386 19.3622i 0.140427 0.976693i
\(394\) 1.66574 0.481165i 0.0839188 0.0242407i
\(395\) 0.338319 1.15221i 0.0170227 0.0579739i
\(396\) −1.73583 + 0.774363i −0.0872288 + 0.0389132i
\(397\) 4.69445 + 15.9878i 0.235608 + 0.802406i 0.989390 + 0.145282i \(0.0464089\pi\)
−0.753783 + 0.657124i \(0.771773\pi\)
\(398\) 8.34372 + 7.29431i 0.418233 + 0.365631i
\(399\) −1.86520 + 4.08421i −0.0933767 + 0.204466i
\(400\) −19.2065 + 5.27466i −0.960323 + 0.263733i
\(401\) −7.05204 + 4.53207i −0.352162 + 0.226321i −0.704746 0.709459i \(-0.748939\pi\)
0.352585 + 0.935780i \(0.385303\pi\)
\(402\) 0.0450775 10.2578i 0.00224826 0.511613i
\(403\) 29.7741 4.28087i 1.48315 0.213245i
\(404\) 0.100454 + 0.353582i 0.00499778 + 0.0175914i
\(405\) 0.108487 + 0.0940045i 0.00539076 + 0.00467112i
\(406\) 40.7992 + 26.4741i 2.02483 + 1.31389i
\(407\) 0.137166 + 0.0881515i 0.00679908 + 0.00436951i
\(408\) 1.68897 10.7400i 0.0836166 0.531707i
\(409\) −1.40870 1.62573i −0.0696558 0.0803871i 0.719852 0.694128i \(-0.244210\pi\)
−0.789508 + 0.613740i \(0.789664\pi\)
\(410\) −0.00746629 + 0.0161606i −0.000368734 + 0.000798114i
\(411\) 2.74807 1.25500i 0.135553 0.0619048i
\(412\) 14.4302 30.8767i 0.710925 1.52118i
\(413\) 26.9602i 1.32663i
\(414\) −6.53739 1.80625i −0.321295 0.0887723i
\(415\) −0.838271 −0.0411491
\(416\) −19.9395 24.0598i −0.977615 1.17963i
\(417\) −2.67937 5.86701i −0.131209 0.287309i
\(418\) −1.66156 0.767652i −0.0812697 0.0375471i
\(419\) 26.6578 23.0991i 1.30232 1.12847i 0.318770 0.947832i \(-0.396730\pi\)
0.983550 0.180635i \(-0.0578152\pi\)
\(420\) −0.946526 0.00831910i −0.0461857 0.000405930i
\(421\) 7.79342 12.1268i 0.379828 0.591024i −0.597728 0.801699i \(-0.703930\pi\)
0.977556 + 0.210675i \(0.0675661\pi\)
\(422\) 4.08410 + 2.65012i 0.198811 + 0.129006i
\(423\) 6.12329 7.06666i 0.297725 0.343593i
\(424\) −0.171706 1.31730i −0.00833878 0.0639737i
\(425\) −2.72389 18.9451i −0.132128 0.918971i
\(426\) −11.9048 0.0523152i −0.576790 0.00253468i
\(427\) −16.6286 25.8747i −0.804717 1.25216i
\(428\) −18.3481 29.1096i −0.886889 1.40706i
\(429\) −4.77537 2.18084i −0.230557 0.105292i
\(430\) 1.18571 + 1.03658i 0.0571801 + 0.0499884i
\(431\) 14.5973 4.28617i 0.703129 0.206457i 0.0894251 0.995994i \(-0.471497\pi\)
0.613704 + 0.789536i \(0.289679\pi\)
\(432\) 3.96868 0.499580i 0.190943 0.0240360i
\(433\) 34.4594 + 10.1182i 1.65602 + 0.486250i 0.970358 0.241674i \(-0.0776964\pi\)
0.685658 + 0.727924i \(0.259515\pi\)
\(434\) −7.04609 24.3928i −0.338223 1.17089i
\(435\) 1.48211 + 0.213095i 0.0710616 + 0.0102171i
\(436\) −11.3053 + 37.2867i −0.541423 + 1.78571i
\(437\) −2.83389 5.88426i −0.135563 0.281483i
\(438\) −0.640797 + 4.32193i −0.0306185 + 0.206510i
\(439\) 0.00157019 0.0109209i 7.49410e−5 0.000521226i −0.989784 0.142575i \(-0.954462\pi\)
0.989859 + 0.142054i \(0.0453707\pi\)
\(440\) 0.00508681 0.385830i 0.000242504 0.0183937i
\(441\) 3.71345 + 1.09037i 0.176831 + 0.0519223i
\(442\) 25.3324 16.1233i 1.20494 0.766908i
\(443\) −5.43405 18.5067i −0.258179 0.879278i −0.981935 0.189221i \(-0.939404\pi\)
0.723755 0.690057i \(-0.242414\pi\)
\(444\) −0.222416 0.261287i −0.0105554 0.0124001i
\(445\) 1.42292 + 0.649825i 0.0674528 + 0.0308047i
\(446\) −5.24981 + 4.50875i −0.248586 + 0.213496i
\(447\) −13.8522 + 8.90227i −0.655186 + 0.421063i
\(448\) −17.7921 + 19.4714i −0.840600 + 0.919936i
\(449\) −3.83558 26.6770i −0.181012 1.25897i −0.854376 0.519656i \(-0.826060\pi\)
0.673363 0.739312i \(-0.264849\pi\)
\(450\) 6.41835 2.89714i 0.302564 0.136573i
\(451\) 0.0629825 + 0.0545747i 0.00296573 + 0.00256982i
\(452\) −8.79749 + 9.97435i −0.413799 + 0.469154i
\(453\) −2.83097 + 4.40508i −0.133011 + 0.206969i
\(454\) −2.28309 16.3902i −0.107151 0.769231i
\(455\) −1.71206 1.97583i −0.0802628 0.0926282i
\(456\) 2.87752 + 2.56058i 0.134752 + 0.119910i
\(457\) 2.75702 + 6.03703i 0.128968 + 0.282400i 0.963090 0.269180i \(-0.0867525\pi\)
−0.834122 + 0.551580i \(0.814025\pi\)
\(458\) 25.9581 + 7.74605i 1.21294 + 0.361949i
\(459\) 3.84382i 0.179414i
\(460\) 0.889492 1.05099i 0.0414728 0.0490027i
\(461\) 21.8754i 1.01884i 0.860518 + 0.509420i \(0.170140\pi\)
−0.860518 + 0.509420i \(0.829860\pi\)
\(462\) −1.26709 + 4.24620i −0.0589504 + 0.197551i
\(463\) −7.79723 17.0735i −0.362368 0.793475i −0.999737 0.0229168i \(-0.992705\pi\)
0.637369 0.770558i \(-0.280023\pi\)
\(464\) 32.0081 26.7648i 1.48594 1.24252i
\(465\) −0.511892 0.590755i −0.0237384 0.0273956i
\(466\) −22.5946 + 3.14734i −1.04668 + 0.145798i
\(467\) 1.27878 1.98983i 0.0591750 0.0920781i −0.810405 0.585870i \(-0.800753\pi\)
0.869580 + 0.493792i \(0.164389\pi\)
\(468\) 8.28558 + 7.30797i 0.383001 + 0.337811i
\(469\) −18.0734 15.6607i −0.834554 0.723145i
\(470\) 0.780961 + 1.73015i 0.0360231 + 0.0798057i
\(471\) −0.519664 3.61435i −0.0239449 0.166540i
\(472\) 22.1039 + 6.80807i 1.01741 + 0.313367i
\(473\) 6.20245 3.98607i 0.285189 0.183280i
\(474\) 7.70799 + 8.97488i 0.354040 + 0.412230i
\(475\) 6.16830 + 2.81697i 0.283021 + 0.129251i
\(476\) −16.4292 19.3005i −0.753031 0.884636i
\(477\) 0.132323 + 0.450650i 0.00605864 + 0.0206338i
\(478\) 18.9501 + 29.7739i 0.866759 + 1.36182i
\(479\) 5.94160 + 1.74461i 0.271479 + 0.0797133i 0.414638 0.909986i \(-0.363908\pi\)
−0.143160 + 0.989700i \(0.545726\pi\)
\(480\) −0.245840 + 0.773928i −0.0112210 + 0.0353248i
\(481\) 0.134876 0.938081i 0.00614980 0.0427728i
\(482\) 25.7557 + 3.81870i 1.17314 + 0.173937i
\(483\) −13.1244 + 8.81841i −0.597182 + 0.401252i
\(484\) 19.3249 + 5.85927i 0.878404 + 0.266330i
\(485\) −1.25702 0.180732i −0.0570782 0.00820660i
\(486\) −1.35867 + 0.392463i −0.0616303 + 0.0178025i
\(487\) −2.12228 0.623159i −0.0961699 0.0282380i 0.233294 0.972406i \(-0.425050\pi\)
−0.329463 + 0.944168i \(0.606868\pi\)
\(488\) −25.4130 + 7.09940i −1.15039 + 0.321375i
\(489\) 13.7003 4.02277i 0.619549 0.181916i
\(490\) −0.517122 + 0.591518i −0.0233612 + 0.0267221i
\(491\) −11.7484 5.36531i −0.530197 0.242133i 0.132283 0.991212i \(-0.457769\pi\)
−0.662481 + 0.749079i \(0.730496\pi\)
\(492\) −0.0935179 0.148368i −0.00421611 0.00668893i
\(493\) 21.6768 + 33.7297i 0.976273 + 1.51911i
\(494\) −0.0467511 + 10.6386i −0.00210343 + 0.478655i
\(495\) 0.0194151 + 0.135035i 0.000872643 + 0.00606936i
\(496\) −21.7782 0.382851i −0.977871 0.0171905i
\(497\) −18.1752 + 20.9753i −0.815270 + 0.940872i
\(498\) 4.49536 6.92778i 0.201442 0.310441i
\(499\) 6.44526 10.0290i 0.288530 0.448961i −0.666486 0.745518i \(-0.732202\pi\)
0.955015 + 0.296557i \(0.0958385\pi\)
\(500\) −0.0251803 + 2.86495i −0.00112610 + 0.128125i
\(501\) 4.44179 3.84883i 0.198445 0.171953i
\(502\) −14.5437 + 31.4793i −0.649115 + 1.40499i
\(503\) −2.30165 5.03990i −0.102625 0.224718i 0.851353 0.524593i \(-0.175782\pi\)
−0.953979 + 0.299875i \(0.903055\pi\)
\(504\) 5.14464 7.77782i 0.229160 0.346452i
\(505\) 0.0263825 0.00117400
\(506\) −3.57126 5.36589i −0.158762 0.238543i
\(507\) 17.5143i 0.777839i
\(508\) −9.41039 + 20.1357i −0.417519 + 0.893375i
\(509\) 3.82322 1.74601i 0.169461 0.0773904i −0.328878 0.944372i \(-0.606671\pi\)
0.498340 + 0.866982i \(0.333943\pi\)
\(510\) −0.708381 0.327276i −0.0313676 0.0144920i
\(511\) 6.67041 + 7.69807i 0.295082 + 0.340542i
\(512\) 11.4711 + 19.5042i 0.506955 + 0.861972i
\(513\) −1.14565 0.736262i −0.0505815 0.0325068i
\(514\) 0.153062 0.235883i 0.00675127 0.0104044i
\(515\) −1.84874 1.60194i −0.0814652 0.0705900i
\(516\) −14.9253 + 4.24033i −0.657048 + 0.186670i
\(517\) 8.79593 1.26466i 0.386845 0.0556199i
\(518\) −0.799948 0.00351534i −0.0351477 0.000154455i
\(519\) −3.23149 + 2.07675i −0.141846 + 0.0911592i
\(520\) −2.05226 + 0.904730i −0.0899974 + 0.0396750i
\(521\) 8.82487 19.3238i 0.386625 0.846590i −0.611828 0.790990i \(-0.709566\pi\)
0.998453 0.0555995i \(-0.0177070\pi\)
\(522\) −9.70912 + 11.1059i −0.424957 + 0.486093i
\(523\) 4.02790 + 13.7178i 0.176128 + 0.599837i 0.999478 + 0.0323030i \(0.0102842\pi\)
−0.823350 + 0.567534i \(0.807898\pi\)
\(524\) −35.7286 + 15.9387i −1.56081 + 0.696286i
\(525\) 4.62522 15.7521i 0.201861 0.687477i
\(526\) −3.96791 13.7365i −0.173009 0.598938i
\(527\) 2.97881 20.7181i 0.129759 0.902493i
\(528\) 3.16136 + 2.11111i 0.137581 + 0.0918743i
\(529\) 2.34083 22.8806i 0.101775 0.994807i
\(530\) −0.0943171 0.0139841i −0.00409687 0.000607429i
\(531\) −8.09397 1.16374i −0.351248 0.0505019i
\(532\) 8.89941 1.19981i 0.385838 0.0520183i
\(533\) 0.136472 0.464779i 0.00591124 0.0201318i
\(534\) −13.0010 + 8.27473i −0.562608 + 0.358083i
\(535\) −2.36969 + 0.695803i −0.102451 + 0.0300822i
\(536\) −17.4037 + 10.8632i −0.751726 + 0.469219i
\(537\) −3.02055 + 6.61409i −0.130347 + 0.285419i
\(538\) 7.89916 + 9.19748i 0.340557 + 0.396531i
\(539\) 1.98854 + 3.09423i 0.0856524 + 0.133278i
\(540\) 0.0433542 0.283805i 0.00186567 0.0122130i
\(541\) 5.23900 0.753255i 0.225242 0.0323850i −0.0287695 0.999586i \(-0.509159\pi\)
0.254012 + 0.967201i \(0.418250\pi\)
\(542\) 7.67235 3.46318i 0.329556 0.148756i
\(543\) −9.81920 + 11.3320i −0.421382 + 0.486301i
\(544\) −19.9726 + 8.59602i −0.856320 + 0.368551i
\(545\) 2.35260 + 1.51192i 0.100774 + 0.0647637i
\(546\) 25.5102 3.55346i 1.09173 0.152074i
\(547\) 19.2440 16.6750i 0.822813 0.712971i −0.137921 0.990443i \(-0.544042\pi\)
0.960734 + 0.277472i \(0.0894966\pi\)
\(548\) −5.05409 3.31119i −0.215900 0.141447i
\(549\) 8.48583 3.87535i 0.362167 0.165396i
\(550\) 6.41294 + 1.91366i 0.273449 + 0.0815988i
\(551\) −14.2052 −0.605161
\(552\) 3.91574 + 12.9872i 0.166665 + 0.552771i
\(553\) 27.5809 1.17286
\(554\) 37.7616 + 11.2683i 1.60434 + 0.478744i
\(555\) −0.0224025 + 0.0102309i −0.000950935 + 0.000434277i
\(556\) −7.06923 + 10.7902i −0.299802 + 0.457608i
\(557\) 11.3569 9.84083i 0.481208 0.416969i −0.380183 0.924911i \(-0.624139\pi\)
0.861391 + 0.507942i \(0.169594\pi\)
\(558\) 7.62731 1.06245i 0.322890 0.0449772i
\(559\) −36.0517 23.1690i −1.52483 0.979946i
\(560\) 0.995349 + 1.61034i 0.0420612 + 0.0680493i
\(561\) −2.39222 + 2.76077i −0.101000 + 0.116560i
\(562\) 13.8571 6.25488i 0.584527 0.263846i
\(563\) 1.23713 0.177873i 0.0521389 0.00749644i −0.116196 0.993226i \(-0.537070\pi\)
0.168335 + 0.985730i \(0.446161\pi\)
\(564\) −18.4866 2.82402i −0.778426 0.118913i
\(565\) 0.516086 + 0.803046i 0.0217119 + 0.0337844i
\(566\) 24.2164 + 28.1966i 1.01789 + 1.18519i
\(567\) −1.36962 + 2.99906i −0.0575188 + 0.125949i
\(568\) 12.6074 + 20.1981i 0.528994 + 0.847492i
\(569\) 8.19540 2.40639i 0.343569 0.100881i −0.105396 0.994430i \(-0.533611\pi\)
0.448965 + 0.893549i \(0.351793\pi\)
\(570\) 0.233231 0.148444i 0.00976896 0.00621764i
\(571\) −6.24149 + 21.2565i −0.261198 + 0.889559i 0.719576 + 0.694413i \(0.244336\pi\)
−0.980774 + 0.195145i \(0.937482\pi\)
\(572\) 1.40285 + 10.4054i 0.0586559 + 0.435072i
\(573\) 20.1252 + 2.89357i 0.840743 + 0.120881i
\(574\) −0.404451 0.0599665i −0.0168814 0.00250295i
\(575\) 13.3183 + 19.8216i 0.555410 + 0.826616i
\(576\) −5.07767 6.18201i −0.211570 0.257584i
\(577\) 4.39453 30.5647i 0.182947 1.27242i −0.666802 0.745235i \(-0.732337\pi\)
0.849749 0.527188i \(-0.176754\pi\)
\(578\) 0.873257 + 3.02312i 0.0363227 + 0.125745i
\(579\) 6.94257 23.6442i 0.288523 0.982621i
\(580\) −1.22005 2.73490i −0.0506600 0.113561i
\(581\) −5.42427 18.4734i −0.225037 0.766404i
\(582\) 8.23457 9.41924i 0.341334 0.390440i
\(583\) −0.185425 + 0.406025i −0.00767953 + 0.0168158i
\(584\) 7.99585 3.52494i 0.330870 0.145863i
\(585\) 0.667081 0.428707i 0.0275804 0.0177249i
\(586\) −15.9410 0.0700519i −0.658515 0.00289382i
\(587\) 29.7596 4.27878i 1.22831 0.176604i 0.502547 0.864550i \(-0.332396\pi\)
0.725762 + 0.687946i \(0.241487\pi\)
\(588\) −2.11538 7.44579i −0.0872368 0.307059i
\(589\) 5.60443 + 4.85626i 0.230926 + 0.200099i
\(590\) 0.903615 1.39256i 0.0372013 0.0573308i
\(591\) 1.03139 + 0.662832i 0.0424256 + 0.0272653i
\(592\) −0.204887 + 0.654966i −0.00842080 + 0.0269189i
\(593\) 6.05249 + 6.98495i 0.248546 + 0.286837i 0.866289 0.499542i \(-0.166498\pi\)
−0.617744 + 0.786380i \(0.711953\pi\)
\(594\) −1.22009 0.563691i −0.0500610 0.0231285i
\(595\) −1.65481 + 0.755725i −0.0678405 + 0.0309817i
\(596\) 29.8349 + 13.9433i 1.22208 + 0.571140i
\(597\) 7.83660i 0.320731i
\(598\) −19.7475 + 31.8386i −0.807537 + 1.30198i
\(599\) 27.4720 1.12248 0.561238 0.827654i \(-0.310325\pi\)
0.561238 + 0.827654i \(0.310325\pi\)
\(600\) −11.7467 7.76984i −0.479556 0.317202i
\(601\) −7.77956 17.0349i −0.317335 0.694867i 0.681999 0.731353i \(-0.261111\pi\)
−0.999334 + 0.0364863i \(0.988383\pi\)
\(602\) −15.1712 + 32.8375i −0.618330 + 1.33836i
\(603\) 5.48178 4.74999i 0.223235 0.193434i
\(604\) 10.4722 + 0.0920415i 0.426110 + 0.00374512i
\(605\) 0.783597 1.21930i 0.0318578 0.0495716i
\(606\) −0.141480 + 0.218034i −0.00574723 + 0.00885705i
\(607\) 17.4759 20.1682i 0.709324 0.818604i −0.280656 0.959808i \(-0.590552\pi\)
0.989980 + 0.141205i \(0.0450976\pi\)
\(608\) 1.26361 7.59934i 0.0512463 0.308194i
\(609\) 4.89432 + 34.0408i 0.198328 + 1.37940i
\(610\) −0.00832233 + 1.89382i −0.000336961 + 0.0766787i
\(611\) −27.9252 43.4525i −1.12973 1.75790i
\(612\) 6.50353 4.09925i 0.262890 0.165702i
\(613\) 6.63537 + 3.03027i 0.268000 + 0.122391i 0.544883 0.838512i \(-0.316574\pi\)
−0.276883 + 0.960904i \(0.589301\pi\)
\(614\) −24.8271 + 28.3988i −1.00194 + 1.14608i
\(615\) −0.0120780 + 0.00354642i −0.000487032 + 0.000143005i
\(616\) 8.53563 2.38452i 0.343910 0.0960751i
\(617\) −43.9566 12.9068i −1.76963 0.519609i −0.775842 0.630927i \(-0.782675\pi\)
−0.993785 + 0.111317i \(0.964493\pi\)
\(618\) 23.1532 6.68801i 0.931358 0.269031i
\(619\) −31.6512 4.55075i −1.27217 0.182910i −0.527046 0.849837i \(-0.676700\pi\)
−0.745123 + 0.666927i \(0.767609\pi\)
\(620\) −0.453616 + 1.49611i −0.0182177 + 0.0600850i
\(621\) −2.08094 4.32085i −0.0835051 0.173390i
\(622\) 3.07500 + 0.455919i 0.123296 + 0.0182807i
\(623\) −5.11309 + 35.5623i −0.204852 + 1.42478i
\(624\) 3.52851 21.8124i 0.141254 0.873193i
\(625\) −23.6912 6.95635i −0.947646 0.278254i
\(626\) 20.1785 + 31.7039i 0.806496 + 1.26714i
\(627\) −0.364628 1.24181i −0.0145618 0.0495930i
\(628\) −5.56108 + 4.73377i −0.221911 + 0.188898i
\(629\) −0.599874 0.273953i −0.0239186 0.0109232i
\(630\) −0.436085 0.507760i −0.0173740 0.0202296i
\(631\) 13.7426 8.83183i 0.547084 0.351590i −0.237720 0.971334i \(-0.576400\pi\)
0.784804 + 0.619744i \(0.212764\pi\)
\(632\) 6.96480 22.6128i 0.277045 0.899488i
\(633\) 0.489934 + 3.40756i 0.0194731 + 0.135439i
\(634\) 0.503859 + 1.11625i 0.0200108 + 0.0443320i
\(635\) 1.20562 + 1.04468i 0.0478437 + 0.0414568i
\(636\) 0.621359 0.704480i 0.0246385 0.0279344i
\(637\) 11.5584 17.9852i 0.457960 0.712599i
\(638\) −13.8853 + 1.93416i −0.549723 + 0.0765741i
\(639\) −5.51265 6.36194i −0.218077 0.251674i
\(640\) 1.57162 0.409410i 0.0621237 0.0161834i
\(641\) 7.02663 + 15.3862i 0.277535 + 0.607718i 0.996148 0.0876935i \(-0.0279496\pi\)
−0.718612 + 0.695411i \(0.755222\pi\)
\(642\) 6.95743 23.3153i 0.274588 0.920183i
\(643\) 30.1511i 1.18904i −0.804080 0.594521i \(-0.797342\pi\)
0.804080 0.594521i \(-0.202658\pi\)
\(644\) 28.9169 + 12.8014i 1.13948 + 0.504446i
\(645\) 1.11365i 0.0438498i
\(646\) 7.09379 + 2.11683i 0.279101 + 0.0832855i
\(647\) 7.50669 + 16.4374i 0.295118 + 0.646219i 0.997871 0.0652149i \(-0.0207733\pi\)
−0.702753 + 0.711434i \(0.748046\pi\)
\(648\) 2.11298 + 1.88024i 0.0830057 + 0.0738630i
\(649\) −5.08912 5.87316i −0.199765 0.230542i
\(650\) −5.36671 38.5275i −0.210500 1.51117i
\(651\) 9.70639 15.1034i 0.380423 0.591950i
\(652\) −21.4170 18.8901i −0.838756 0.739792i
\(653\) 25.1385 + 21.7827i 0.983747 + 0.852422i 0.989052 0.147564i \(-0.0471433\pi\)
−0.00530543 + 0.999986i \(0.501689\pi\)
\(654\) −25.1112 + 11.3348i −0.981927 + 0.443227i
\(655\) 0.399620 + 2.77942i 0.0156145 + 0.108601i
\(656\) −0.151298 + 0.316454i −0.00590718 + 0.0123555i
\(657\) −2.59903 + 1.67030i −0.101398 + 0.0651644i
\(658\) −33.0746 + 28.4058i −1.28938 + 1.10737i
\(659\) 16.0917 + 7.34883i 0.626843 + 0.286270i 0.703399 0.710796i \(-0.251665\pi\)
−0.0765555 + 0.997065i \(0.524392\pi\)
\(660\) 0.207766 0.176857i 0.00808729 0.00688417i
\(661\) −1.73300 5.90207i −0.0674061 0.229564i 0.918900 0.394491i \(-0.129079\pi\)
−0.986306 + 0.164927i \(0.947261\pi\)
\(662\) −29.2498 + 18.6166i −1.13683 + 0.723555i
\(663\) 20.3731 + 5.98207i 0.791224 + 0.232324i
\(664\) −16.5155 0.217741i −0.640926 0.00845001i
\(665\) 0.0917261 0.637969i 0.00355698 0.0247394i
\(666\) 0.0355851 0.240008i 0.00137889 0.00930010i
\(667\) −42.6273 26.1805i −1.65053 1.01371i
\(668\) −11.2490 3.41067i −0.435236 0.131963i
\(669\) −4.84352 0.696394i −0.187261 0.0269241i
\(670\) 0.408641 + 1.41467i 0.0157872 + 0.0546536i
\(671\) 8.50667 + 2.49778i 0.328396 + 0.0964259i
\(672\) −18.6462 0.409762i −0.719291 0.0158069i
\(673\) −33.4140 + 9.81123i −1.28801 + 0.378195i −0.852850 0.522156i \(-0.825128\pi\)
−0.435164 + 0.900351i \(0.643310\pi\)
\(674\) −22.2562 19.4570i −0.857276 0.749455i
\(675\) 4.52942 + 2.06851i 0.174337 + 0.0796172i
\(676\) 29.6333 18.6782i 1.13974 0.718392i
\(677\) 21.9544 + 34.1617i 0.843775 + 1.31294i 0.947962 + 0.318382i \(0.103139\pi\)
−0.104187 + 0.994558i \(0.533224\pi\)
\(678\) −9.40426 0.0413266i −0.361168 0.00158714i
\(679\) −4.15101 28.8709i −0.159301 1.10796i
\(680\) 0.201721 + 1.54757i 0.00773564 + 0.0593464i
\(681\) 7.66287 8.84343i 0.293642 0.338881i
\(682\) 6.13943 + 3.98380i 0.235091 + 0.152548i
\(683\) −9.29483 + 14.4630i −0.355657 + 0.553413i −0.972272 0.233852i \(-0.924867\pi\)
0.616615 + 0.787265i \(0.288503\pi\)
\(684\) −0.0239376 + 2.72356i −0.000915277 + 0.104138i
\(685\) −0.327748 + 0.283996i −0.0125226 + 0.0108509i
\(686\) 13.2476 + 6.12046i 0.505795 + 0.233680i
\(687\) 7.95725 + 17.4239i 0.303588 + 0.664765i
\(688\) 23.0915 + 20.7306i 0.880354 + 0.790347i
\(689\) 2.59447 0.0988416
\(690\) 0.973471 0.0156056i 0.0370594 0.000594095i
\(691\) 17.0516i 0.648674i 0.945942 + 0.324337i \(0.105141\pi\)
−0.945942 + 0.324337i \(0.894859\pi\)
\(692\) 6.95997 + 3.25274i 0.264579 + 0.123651i
\(693\) −2.85019 + 1.30164i −0.108270 + 0.0494452i
\(694\) −1.14635 + 2.48124i −0.0435148 + 0.0941866i
\(695\) 0.606317 + 0.699727i 0.0229989 + 0.0265422i
\(696\) 29.1449 + 4.58335i 1.10474 + 0.173731i
\(697\) −0.283559 0.182232i −0.0107405 0.00690253i
\(698\) −8.98944 5.83314i −0.340255 0.220788i
\(699\) −12.1910 10.5636i −0.461108 0.399552i
\(700\) −31.5842 + 8.97321i −1.19377 + 0.339155i
\(701\) 21.3686 3.07234i 0.807081 0.116041i 0.273590 0.961846i \(-0.411789\pi\)
0.533491 + 0.845806i \(0.320880\pi\)
\(702\) −0.0343296 + 7.81201i −0.00129569 + 0.294845i
\(703\) 0.196554 0.126318i 0.00741318 0.00476416i
\(704\) 0.200439 7.60025i 0.00755434 0.286445i
\(705\) −0.557594 + 1.22096i −0.0210002 + 0.0459840i
\(706\) 6.78238 + 5.92935i 0.255258 + 0.223154i
\(707\) 0.170715 + 0.581402i 0.00642040 + 0.0218659i
\(708\) 6.66285 + 14.9356i 0.250405 + 0.561315i
\(709\) 3.46910 11.8147i 0.130285 0.443709i −0.868350 0.495953i \(-0.834819\pi\)
0.998634 + 0.0522433i \(0.0166371\pi\)
\(710\) 1.64181 0.474253i 0.0616162 0.0177984i
\(711\) −1.19053 + 8.28030i −0.0446483 + 0.310536i
\(712\) 27.8653 + 13.1724i 1.04430 + 0.493655i
\(713\) 7.86771 + 24.9019i 0.294648 + 0.932583i
\(714\) 2.62856 17.7286i 0.0983714 0.663477i
\(715\) 0.745929 + 0.107248i 0.0278962 + 0.00401086i
\(716\) 14.4120 1.94300i 0.538600 0.0726134i
\(717\) −7.03088 + 23.9450i −0.262573 + 0.894241i
\(718\) 8.48081 + 13.3248i 0.316501 + 0.497276i
\(719\) 2.34883 0.689680i 0.0875967 0.0257207i −0.237641 0.971353i \(-0.576374\pi\)
0.325237 + 0.945632i \(0.394556\pi\)
\(720\) −0.526419 + 0.229312i −0.0196185 + 0.00854596i
\(721\) 23.3399 51.1073i 0.869225 1.90334i
\(722\) 18.3945 15.7979i 0.684571 0.587937i
\(723\) 9.95378 + 15.4884i 0.370185 + 0.576019i
\(724\) 29.6448 + 4.52855i 1.10174 + 0.168302i
\(725\) 51.4111 7.39179i 1.90936 0.274524i
\(726\) 5.87460 + 13.0146i 0.218027 + 0.483018i
\(727\) 23.2808 26.8675i 0.863439 0.996461i −0.136544 0.990634i \(-0.543600\pi\)
0.999983 0.00582744i \(-0.00185494\pi\)
\(728\) −33.2176 39.3722i −1.23113 1.45923i
\(729\) −0.841254 0.540641i −0.0311575 0.0200237i
\(730\) −0.0865295 0.621192i −0.00320260 0.0229914i
\(731\) −22.5366 + 19.5281i −0.833545 + 0.722271i
\(732\) −15.6066 10.2247i −0.576837 0.377915i
\(733\) −32.4822 + 14.8341i −1.19976 + 0.547911i −0.912158 0.409839i \(-0.865585\pi\)
−0.287601 + 0.957750i \(0.592858\pi\)
\(734\) 2.47441 8.29210i 0.0913322 0.306067i
\(735\) −0.555567 −0.0204924
\(736\) 17.7976 20.4754i 0.656030 0.754735i
\(737\) 6.89339 0.253921
\(738\) 0.0354611 0.118835i 0.00130534 0.00437438i
\(739\) 10.5491 4.81760i 0.388054 0.177218i −0.211828 0.977307i \(-0.567942\pi\)
0.599882 + 0.800089i \(0.295214\pi\)
\(740\) 0.0412014 + 0.0269931i 0.00151459 + 0.000992286i
\(741\) −5.68530 + 4.92634i −0.208855 + 0.180974i
\(742\) −0.302132 2.16900i −0.0110916 0.0796264i
\(743\) −15.9658 10.2606i −0.585730 0.376426i 0.213957 0.976843i \(-0.431365\pi\)
−0.799687 + 0.600417i \(0.795001\pi\)
\(744\) −9.93178 11.7719i −0.364117 0.431580i
\(745\) 1.54789 1.78636i 0.0567104 0.0654472i
\(746\) −19.8948 44.0752i −0.728402 1.61371i
\(747\) 5.78018 0.831065i 0.211486 0.0304071i
\(748\) 7.22225 + 1.10327i 0.264072 + 0.0403397i
\(749\) −30.6675 47.7195i −1.12056 1.74363i
\(750\) −1.53689 + 1.31994i −0.0561194 + 0.0481976i
\(751\) −10.9319 + 23.9374i −0.398909 + 0.873490i 0.598470 + 0.801145i \(0.295775\pi\)
−0.997380 + 0.0723448i \(0.976952\pi\)
\(752\) 14.9370 + 34.2900i 0.544696 + 1.25043i
\(753\) −23.5268 + 6.90810i −0.857365 + 0.251745i
\(754\) 43.7537 + 68.7444i 1.59342 + 2.50352i
\(755\) 0.211770 0.721221i 0.00770708 0.0262479i
\(756\) 6.53488 0.881025i 0.237671 0.0320426i
\(757\) −38.7440 5.57054i −1.40817 0.202465i −0.604059 0.796939i \(-0.706451\pi\)
−0.804115 + 0.594474i \(0.797360\pi\)
\(758\) 1.67868 11.3220i 0.0609724 0.411235i
\(759\) 1.19450 4.39847i 0.0433574 0.159654i
\(760\) −0.499889 0.236305i −0.0181329 0.00857168i
\(761\) −2.99678 + 20.8431i −0.108633 + 0.755561i 0.860576 + 0.509322i \(0.170104\pi\)
−0.969209 + 0.246239i \(0.920805\pi\)
\(762\) −15.0989 + 4.36147i −0.546977 + 0.157999i
\(763\) −18.0958 + 61.6286i −0.655111 + 2.23110i
\(764\) −16.5668 37.1366i −0.599367 1.34356i
\(765\) −0.155453 0.529425i −0.00562042 0.0191414i
\(766\) −28.2905 24.7323i −1.02218 0.893615i
\(767\) −18.7646 + 41.0887i −0.677549 + 1.48363i
\(768\) −5.04453 + 15.1840i −0.182029 + 0.547904i
\(769\) −9.02946 + 5.80288i −0.325611 + 0.209257i −0.693225 0.720721i \(-0.743811\pi\)
0.367615 + 0.929978i \(0.380175\pi\)
\(770\) 0.00279527 0.636091i 0.000100735 0.0229231i
\(771\) 0.196809 0.0282969i 0.00708790 0.00101909i
\(772\) −47.4087 + 13.4690i −1.70628 + 0.484760i
\(773\) −27.0755