Properties

Label 570.2.bf.a.269.19
Level $570$
Weight $2$
Character 570.269
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 269.19
Character \(\chi\) \(=\) 570.269
Dual form 570.2.bf.a.89.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.642788 + 0.766044i) q^{2} +(1.61017 - 0.638236i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(1.09284 - 1.95082i) q^{5} +(-0.546082 + 1.64371i) q^{6} +(1.53910 - 0.888602i) q^{7} +(0.866025 + 0.500000i) q^{8} +(2.18531 - 2.05534i) q^{9} +O(q^{10})\) \(q+(-0.642788 + 0.766044i) q^{2} +(1.61017 - 0.638236i) q^{3} +(-0.173648 - 0.984808i) q^{4} +(1.09284 - 1.95082i) q^{5} +(-0.546082 + 1.64371i) q^{6} +(1.53910 - 0.888602i) q^{7} +(0.866025 + 0.500000i) q^{8} +(2.18531 - 2.05534i) q^{9} +(0.791952 + 2.09113i) q^{10} +(-3.70867 - 2.14120i) q^{11} +(-0.908143 - 1.47488i) q^{12} +(2.04162 + 0.743090i) q^{13} +(-0.308608 + 1.75020i) q^{14} +(0.514576 - 3.83865i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-0.583489 - 0.489606i) q^{17} +(0.169790 + 2.99519i) q^{18} +(-4.17277 - 1.26015i) q^{19} +(-2.11095 - 0.737480i) q^{20} +(1.91109 - 2.41311i) q^{21} +(4.02414 - 1.46467i) q^{22} +(1.10821 + 6.28498i) q^{23} +(1.71357 + 0.252358i) q^{24} +(-2.61141 - 4.26387i) q^{25} +(-1.88157 + 1.08633i) q^{26} +(2.20694 - 4.70419i) q^{27} +(-1.14237 - 1.36142i) q^{28} +(1.06570 - 0.894225i) q^{29} +(2.60981 + 2.86162i) q^{30} +(-4.34123 + 2.50641i) q^{31} +(0.342020 - 0.939693i) q^{32} +(-7.33819 - 1.08070i) q^{33} +(0.750120 - 0.132266i) q^{34} +(-0.0515108 - 3.97362i) q^{35} +(-2.40359 - 1.79521i) q^{36} +7.40103 q^{37} +(3.64754 - 2.38652i) q^{38} +(3.76163 - 0.106533i) q^{39} +(1.92184 - 1.14304i) q^{40} +(3.10582 - 1.13043i) q^{41} +(0.620130 + 3.01510i) q^{42} +(0.00915669 + 0.00161457i) q^{43} +(-1.46467 + 4.02414i) q^{44} +(-1.62141 - 6.50930i) q^{45} +(-5.52692 - 3.19097i) q^{46} +(3.61602 - 3.03420i) q^{47} +(-1.29478 + 1.15046i) q^{48} +(-1.92077 + 3.32687i) q^{49} +(4.94489 + 0.740308i) q^{50} +(-1.25200 - 0.415946i) q^{51} +(0.377277 - 2.13964i) q^{52} +(0.204353 - 0.0360329i) q^{53} +(2.18503 + 4.71441i) q^{54} +(-8.23008 + 4.89497i) q^{55} +1.77720 q^{56} +(-7.52315 + 0.634147i) q^{57} +1.39117i q^{58} +(9.23350 + 7.74782i) q^{59} +(-3.86968 + 0.159816i) q^{60} +(1.87217 + 10.6176i) q^{61} +(0.870468 - 4.93667i) q^{62} +(1.53704 - 5.10525i) q^{63} +(0.500000 + 0.866025i) q^{64} +(3.68080 - 3.17076i) q^{65} +(5.54476 - 4.92672i) q^{66} +(3.11150 - 2.61086i) q^{67} +(-0.380846 + 0.659644i) q^{68} +(5.79571 + 9.41260i) q^{69} +(3.07708 + 2.51473i) q^{70} +(2.40783 - 13.6555i) q^{71} +(2.92020 - 0.687320i) q^{72} +(2.88136 + 7.91647i) q^{73} +(-4.75729 + 5.66952i) q^{74} +(-6.92617 - 5.19887i) q^{75} +(-0.516415 + 4.32820i) q^{76} -7.61071 q^{77} +(-2.33632 + 2.95006i) q^{78} +(1.48419 + 4.07778i) q^{79} +(-0.359713 + 2.20695i) q^{80} +(0.551166 - 8.98311i) q^{81} +(-1.13043 + 3.10582i) q^{82} +(5.46707 + 9.46924i) q^{83} +(-2.70831 - 1.46302i) q^{84} +(-1.59279 + 0.603223i) q^{85} +(-0.00712264 + 0.00597661i) q^{86} +(1.14523 - 2.12002i) q^{87} +(-2.14120 - 3.70867i) q^{88} +(4.59546 + 1.67261i) q^{89} +(6.02864 + 2.94203i) q^{90} +(3.80258 - 0.670498i) q^{91} +(5.99706 - 2.18275i) q^{92} +(-5.39045 + 6.80648i) q^{93} +4.72038i q^{94} +(-7.01850 + 6.76318i) q^{95} +(-0.0490338 - 1.73136i) q^{96} +(-2.62714 - 2.20443i) q^{97} +(-1.31389 - 3.60987i) q^{98} +(-12.5055 + 2.94338i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.642788 + 0.766044i −0.454519 + 0.541675i
\(3\) 1.61017 0.638236i 0.929634 0.368485i
\(4\) −0.173648 0.984808i −0.0868241 0.492404i
\(5\) 1.09284 1.95082i 0.488732 0.872434i
\(6\) −0.546082 + 1.64371i −0.222937 + 0.671043i
\(7\) 1.53910 0.888602i 0.581727 0.335860i −0.180093 0.983650i \(-0.557640\pi\)
0.761819 + 0.647790i \(0.224306\pi\)
\(8\) 0.866025 + 0.500000i 0.306186 + 0.176777i
\(9\) 2.18531 2.05534i 0.728437 0.685113i
\(10\) 0.791952 + 2.09113i 0.250437 + 0.661272i
\(11\) −3.70867 2.14120i −1.11821 0.645597i −0.177264 0.984163i \(-0.556725\pi\)
−0.940943 + 0.338566i \(0.890058\pi\)
\(12\) −0.908143 1.47488i −0.262158 0.425762i
\(13\) 2.04162 + 0.743090i 0.566245 + 0.206096i 0.609249 0.792979i \(-0.291471\pi\)
−0.0430048 + 0.999075i \(0.513693\pi\)
\(14\) −0.308608 + 1.75020i −0.0824790 + 0.467762i
\(15\) 0.514576 3.83865i 0.132863 0.991134i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −0.583489 0.489606i −0.141517 0.118747i 0.569281 0.822143i \(-0.307222\pi\)
−0.710798 + 0.703396i \(0.751666\pi\)
\(18\) 0.169790 + 2.99519i 0.0400199 + 0.705973i
\(19\) −4.17277 1.26015i −0.957299 0.289099i
\(20\) −2.11095 0.737480i −0.472023 0.164906i
\(21\) 1.91109 2.41311i 0.417033 0.526585i
\(22\) 4.02414 1.46467i 0.857951 0.312268i
\(23\) 1.10821 + 6.28498i 0.231078 + 1.31051i 0.850718 + 0.525623i \(0.176168\pi\)
−0.619640 + 0.784886i \(0.712721\pi\)
\(24\) 1.71357 + 0.252358i 0.349781 + 0.0515124i
\(25\) −2.61141 4.26387i −0.522281 0.852773i
\(26\) −1.88157 + 1.08633i −0.369006 + 0.213046i
\(27\) 2.20694 4.70419i 0.424725 0.905322i
\(28\) −1.14237 1.36142i −0.215887 0.257284i
\(29\) 1.06570 0.894225i 0.197895 0.166053i −0.538456 0.842654i \(-0.680992\pi\)
0.736350 + 0.676600i \(0.236548\pi\)
\(30\) 2.60981 + 2.86162i 0.476484 + 0.522458i
\(31\) −4.34123 + 2.50641i −0.779708 + 0.450165i −0.836327 0.548231i \(-0.815301\pi\)
0.0566186 + 0.998396i \(0.481968\pi\)
\(32\) 0.342020 0.939693i 0.0604612 0.166116i
\(33\) −7.33819 1.08070i −1.27742 0.188126i
\(34\) 0.750120 0.132266i 0.128644 0.0226835i
\(35\) −0.0515108 3.97362i −0.00870691 0.671664i
\(36\) −2.40359 1.79521i −0.400598 0.299201i
\(37\) 7.40103 1.21672 0.608361 0.793661i \(-0.291827\pi\)
0.608361 + 0.793661i \(0.291827\pi\)
\(38\) 3.64754 2.38652i 0.591709 0.387144i
\(39\) 3.76163 0.106533i 0.602343 0.0170590i
\(40\) 1.92184 1.14304i 0.303869 0.180731i
\(41\) 3.10582 1.13043i 0.485048 0.176543i −0.0879090 0.996129i \(-0.528018\pi\)
0.572957 + 0.819586i \(0.305796\pi\)
\(42\) 0.620130 + 3.01510i 0.0956882 + 0.465239i
\(43\) 0.00915669 + 0.00161457i 0.00139638 + 0.000246220i 0.174346 0.984684i \(-0.444219\pi\)
−0.172950 + 0.984931i \(0.555330\pi\)
\(44\) −1.46467 + 4.02414i −0.220807 + 0.606663i
\(45\) −1.62141 6.50930i −0.241705 0.970350i
\(46\) −5.52692 3.19097i −0.814900 0.470483i
\(47\) 3.61602 3.03420i 0.527451 0.442584i −0.339769 0.940509i \(-0.610349\pi\)
0.867220 + 0.497925i \(0.165904\pi\)
\(48\) −1.29478 + 1.15046i −0.186885 + 0.166054i
\(49\) −1.92077 + 3.32687i −0.274396 + 0.475268i
\(50\) 4.94489 + 0.740308i 0.699313 + 0.104695i
\(51\) −1.25200 0.415946i −0.175315 0.0582441i
\(52\) 0.377277 2.13964i 0.0523189 0.296715i
\(53\) 0.204353 0.0360329i 0.0280700 0.00494950i −0.159596 0.987182i \(-0.551019\pi\)
0.187666 + 0.982233i \(0.439908\pi\)
\(54\) 2.18503 + 4.71441i 0.297345 + 0.641550i
\(55\) −8.23008 + 4.89497i −1.10974 + 0.660037i
\(56\) 1.77720 0.237489
\(57\) −7.52315 + 0.634147i −0.996466 + 0.0839948i
\(58\) 1.39117i 0.182669i
\(59\) 9.23350 + 7.74782i 1.20210 + 1.00868i 0.999568 + 0.0294050i \(0.00936127\pi\)
0.202531 + 0.979276i \(0.435083\pi\)
\(60\) −3.86968 + 0.159816i −0.499574 + 0.0206321i
\(61\) 1.87217 + 10.6176i 0.239707 + 1.35945i 0.832471 + 0.554069i \(0.186926\pi\)
−0.592764 + 0.805376i \(0.701963\pi\)
\(62\) 0.870468 4.93667i 0.110549 0.626957i
\(63\) 1.53704 5.10525i 0.193649 0.643201i
\(64\) 0.500000 + 0.866025i 0.0625000 + 0.108253i
\(65\) 3.68080 3.17076i 0.456547 0.393285i
\(66\) 5.54476 4.92672i 0.682513 0.606438i
\(67\) 3.11150 2.61086i 0.380130 0.318967i −0.432623 0.901575i \(-0.642412\pi\)
0.812754 + 0.582608i \(0.197968\pi\)
\(68\) −0.380846 + 0.659644i −0.0461843 + 0.0799936i
\(69\) 5.79571 + 9.41260i 0.697722 + 1.13314i
\(70\) 3.07708 + 2.51473i 0.367781 + 0.300568i
\(71\) 2.40783 13.6555i 0.285757 1.62061i −0.416812 0.908993i \(-0.636853\pi\)
0.702569 0.711616i \(-0.252036\pi\)
\(72\) 2.92020 0.687320i 0.344149 0.0810015i
\(73\) 2.88136 + 7.91647i 0.337238 + 0.926552i 0.986174 + 0.165710i \(0.0529917\pi\)
−0.648937 + 0.760842i \(0.724786\pi\)
\(74\) −4.75729 + 5.66952i −0.553023 + 0.659068i
\(75\) −6.92617 5.19887i −0.799765 0.600314i
\(76\) −0.516415 + 4.32820i −0.0592368 + 0.496479i
\(77\) −7.61071 −0.867321
\(78\) −2.33632 + 2.95006i −0.264536 + 0.334028i
\(79\) 1.48419 + 4.07778i 0.166985 + 0.458786i 0.994756 0.102280i \(-0.0326137\pi\)
−0.827771 + 0.561066i \(0.810391\pi\)
\(80\) −0.359713 + 2.20695i −0.0402171 + 0.246744i
\(81\) 0.551166 8.98311i 0.0612406 0.998123i
\(82\) −1.13043 + 3.10582i −0.124835 + 0.342981i
\(83\) 5.46707 + 9.46924i 0.600089 + 1.03938i 0.992807 + 0.119725i \(0.0382014\pi\)
−0.392718 + 0.919659i \(0.628465\pi\)
\(84\) −2.70831 1.46302i −0.295501 0.159628i
\(85\) −1.59279 + 0.603223i −0.172763 + 0.0654287i
\(86\) −0.00712264 + 0.00597661i −0.000768054 + 0.000644474i
\(87\) 1.14523 2.12002i 0.122781 0.227290i
\(88\) −2.14120 3.70867i −0.228253 0.395346i
\(89\) 4.59546 + 1.67261i 0.487117 + 0.177296i 0.573891 0.818932i \(-0.305433\pi\)
−0.0867734 + 0.996228i \(0.527656\pi\)
\(90\) 6.02864 + 2.94203i 0.635474 + 0.310117i
\(91\) 3.80258 0.670498i 0.398619 0.0702873i
\(92\) 5.99706 2.18275i 0.625237 0.227568i
\(93\) −5.39045 + 6.80648i −0.558964 + 0.705799i
\(94\) 4.72038i 0.486870i
\(95\) −7.01850 + 6.76318i −0.720083 + 0.693888i
\(96\) −0.0490338 1.73136i −0.00500450 0.176706i
\(97\) −2.62714 2.20443i −0.266746 0.223826i 0.499598 0.866258i \(-0.333481\pi\)
−0.766343 + 0.642432i \(0.777926\pi\)
\(98\) −1.31389 3.60987i −0.132722 0.364652i
\(99\) −12.5055 + 2.94338i −1.25685 + 0.295821i
\(100\) −3.74562 + 3.31215i −0.374562 + 0.331215i
\(101\) 2.96211 8.13833i 0.294741 0.809794i −0.700616 0.713539i \(-0.747091\pi\)
0.995357 0.0962551i \(-0.0306865\pi\)
\(102\) 1.12340 0.691725i 0.111234 0.0684909i
\(103\) −0.296628 + 0.513775i −0.0292276 + 0.0506237i −0.880269 0.474475i \(-0.842638\pi\)
0.851042 + 0.525098i \(0.175971\pi\)
\(104\) 1.39655 + 1.66435i 0.136943 + 0.163203i
\(105\) −2.61904 6.36533i −0.255593 0.621193i
\(106\) −0.103753 + 0.179705i −0.0100774 + 0.0174545i
\(107\) 0.321885 0.185840i 0.0311178 0.0179658i −0.484360 0.874869i \(-0.660948\pi\)
0.515478 + 0.856903i \(0.327614\pi\)
\(108\) −5.01596 1.35653i −0.482661 0.130533i
\(109\) −0.724000 0.127661i −0.0693466 0.0122277i 0.138867 0.990311i \(-0.455654\pi\)
−0.208214 + 0.978083i \(0.566765\pi\)
\(110\) 1.54044 9.45103i 0.146875 0.901121i
\(111\) 11.9169 4.72360i 1.13110 0.448344i
\(112\) −1.14237 + 1.36142i −0.107943 + 0.128642i
\(113\) 3.03444i 0.285456i 0.989762 + 0.142728i \(0.0455874\pi\)
−0.989762 + 0.142728i \(0.954413\pi\)
\(114\) 4.35001 6.17069i 0.407415 0.577938i
\(115\) 13.4720 + 4.70655i 1.25627 + 0.438888i
\(116\) −1.06570 0.894225i −0.0989474 0.0830267i
\(117\) 5.98888 2.57235i 0.553673 0.237813i
\(118\) −11.8704 + 2.09306i −1.09275 + 0.192682i
\(119\) −1.33312 0.235064i −0.122207 0.0215483i
\(120\) 2.36496 3.06708i 0.215890 0.279985i
\(121\) 3.66950 + 6.35576i 0.333591 + 0.577796i
\(122\) −9.33697 5.39070i −0.845330 0.488051i
\(123\) 4.27943 3.80243i 0.385863 0.342853i
\(124\) 3.22218 + 3.84004i 0.289360 + 0.344846i
\(125\) −11.1719 + 0.434665i −0.999244 + 0.0388776i
\(126\) 2.92286 + 4.45904i 0.260389 + 0.397242i
\(127\) −19.3431 7.04033i −1.71643 0.624728i −0.718906 0.695107i \(-0.755357\pi\)
−0.997520 + 0.0703789i \(0.977579\pi\)
\(128\) −0.984808 0.173648i −0.0870455 0.0153485i
\(129\) 0.0157743 0.00324439i 0.00138885 0.000285652i
\(130\) 0.0629725 + 4.85779i 0.00552305 + 0.426056i
\(131\) −12.0666 + 14.3804i −1.05426 + 1.25642i −0.0887559 + 0.996053i \(0.528289\pi\)
−0.965509 + 0.260370i \(0.916155\pi\)
\(132\) 0.209983 + 7.41437i 0.0182767 + 0.645338i
\(133\) −7.54210 + 1.76843i −0.653983 + 0.153342i
\(134\) 4.06178i 0.350884i
\(135\) −6.76521 9.44626i −0.582257 0.813005i
\(136\) −0.260514 0.715756i −0.0223389 0.0613756i
\(137\) −0.288585 1.63665i −0.0246555 0.139828i 0.969995 0.243124i \(-0.0781722\pi\)
−0.994651 + 0.103296i \(0.967061\pi\)
\(138\) −10.9359 1.61053i −0.930924 0.137098i
\(139\) −16.6451 6.05832i −1.41182 0.513860i −0.480156 0.877183i \(-0.659420\pi\)
−0.931663 + 0.363323i \(0.881642\pi\)
\(140\) −3.90430 + 0.740739i −0.329974 + 0.0626039i
\(141\) 3.88589 7.19347i 0.327251 0.605799i
\(142\) 8.91299 + 10.6221i 0.747961 + 0.891386i
\(143\) −5.98061 7.12741i −0.500123 0.596024i
\(144\) −1.35055 + 2.67881i −0.112546 + 0.223234i
\(145\) −0.579839 3.05623i −0.0481530 0.253806i
\(146\) −7.91647 2.88136i −0.655172 0.238463i
\(147\) −0.969444 + 6.58275i −0.0799584 + 0.542936i
\(148\) −1.28517 7.28859i −0.105641 0.599118i
\(149\) 4.87268 + 13.3876i 0.399185 + 1.09675i 0.962682 + 0.270634i \(0.0872334\pi\)
−0.563497 + 0.826118i \(0.690544\pi\)
\(150\) 8.43462 1.96398i 0.688684 0.160358i
\(151\) 22.1194i 1.80005i 0.435841 + 0.900024i \(0.356451\pi\)
−0.435841 + 0.900024i \(0.643549\pi\)
\(152\) −2.98365 3.17771i −0.242006 0.257746i
\(153\) −2.28141 + 0.129328i −0.184441 + 0.0104555i
\(154\) 4.89207 5.83014i 0.394214 0.469806i
\(155\) 0.145292 + 11.2081i 0.0116702 + 0.900254i
\(156\) −0.758116 3.68599i −0.0606978 0.295115i
\(157\) −14.9429 2.63483i −1.19257 0.210283i −0.458087 0.888907i \(-0.651465\pi\)
−0.734485 + 0.678625i \(0.762576\pi\)
\(158\) −4.07778 1.48419i −0.324411 0.118076i
\(159\) 0.306046 0.188445i 0.0242710 0.0149446i
\(160\) −1.45940 1.69415i −0.115376 0.133935i
\(161\) 7.29050 + 8.68848i 0.574572 + 0.684748i
\(162\) 6.52718 + 6.19645i 0.512823 + 0.486839i
\(163\) 17.8199 + 10.2883i 1.39576 + 0.805842i 0.993945 0.109879i \(-0.0350463\pi\)
0.401815 + 0.915721i \(0.368380\pi\)
\(164\) −1.65257 2.86234i −0.129044 0.223511i
\(165\) −10.1277 + 13.1345i −0.788442 + 1.02252i
\(166\) −10.7680 1.89869i −0.835761 0.147367i
\(167\) −23.0744 + 4.06863i −1.78555 + 0.314840i −0.966072 0.258272i \(-0.916847\pi\)
−0.819476 + 0.573113i \(0.805736\pi\)
\(168\) 2.86161 1.13428i 0.220778 0.0875112i
\(169\) −6.34253 5.32202i −0.487887 0.409386i
\(170\) 0.561732 1.60789i 0.0430829 0.123320i
\(171\) −11.7088 + 5.82263i −0.895398 + 0.445268i
\(172\) 0.00929795i 0.000708962i
\(173\) 14.5800 17.3758i 1.10850 1.32105i 0.166269 0.986080i \(-0.446828\pi\)
0.942227 0.334974i \(-0.108728\pi\)
\(174\) 0.887893 + 2.24002i 0.0673110 + 0.169815i
\(175\) −7.80811 4.24203i −0.590237 0.320668i
\(176\) 4.21735 + 0.743632i 0.317894 + 0.0560534i
\(177\) 19.8125 + 6.58219i 1.48920 + 0.494747i
\(178\) −4.23519 + 2.44519i −0.317441 + 0.183275i
\(179\) −9.33334 + 16.1658i −0.697606 + 1.20829i 0.271688 + 0.962385i \(0.412418\pi\)
−0.969294 + 0.245904i \(0.920915\pi\)
\(180\) −6.12886 + 2.72710i −0.456818 + 0.203266i
\(181\) −8.85324 10.5509i −0.658056 0.784241i 0.329049 0.944313i \(-0.393272\pi\)
−0.987105 + 0.160072i \(0.948827\pi\)
\(182\) −1.93062 + 3.34394i −0.143107 + 0.247869i
\(183\) 9.79105 + 15.9013i 0.723776 + 1.17546i
\(184\) −2.18275 + 5.99706i −0.160915 + 0.442109i
\(185\) 8.08813 14.4381i 0.594651 1.06151i
\(186\) −1.74915 8.50445i −0.128254 0.623576i
\(187\) 1.11563 + 3.06516i 0.0815826 + 0.224146i
\(188\) −3.61602 3.03420i −0.263726 0.221292i
\(189\) −0.783450 9.20133i −0.0569876 0.669298i
\(190\) −0.669495 9.72377i −0.0485702 0.705437i
\(191\) 5.95196i 0.430669i −0.976540 0.215334i \(-0.930916\pi\)
0.976540 0.215334i \(-0.0690841\pi\)
\(192\) 1.35781 + 1.07533i 0.0979918 + 0.0776054i
\(193\) 14.6660 5.33800i 1.05568 0.384238i 0.244879 0.969554i \(-0.421252\pi\)
0.810805 + 0.585316i \(0.199029\pi\)
\(194\) 3.37738 0.595524i 0.242482 0.0427561i
\(195\) 3.90303 7.45470i 0.279502 0.533842i
\(196\) 3.60987 + 1.31389i 0.257848 + 0.0938490i
\(197\) 3.69707 + 6.40351i 0.263405 + 0.456231i 0.967145 0.254227i \(-0.0818211\pi\)
−0.703740 + 0.710458i \(0.748488\pi\)
\(198\) 5.78362 11.4717i 0.411024 0.815261i
\(199\) −4.62609 + 3.88175i −0.327935 + 0.275170i −0.791858 0.610706i \(-0.790886\pi\)
0.463923 + 0.885876i \(0.346441\pi\)
\(200\) −0.129610 4.99832i −0.00916483 0.353435i
\(201\) 3.34371 6.18980i 0.235847 0.436595i
\(202\) 4.33031 + 7.50032i 0.304680 + 0.527721i
\(203\) 0.845607 2.32329i 0.0593500 0.163063i
\(204\) −0.192219 + 1.30521i −0.0134580 + 0.0913830i
\(205\) 1.18890 7.29428i 0.0830366 0.509454i
\(206\) −0.202906 0.557478i −0.0141371 0.0388414i
\(207\) 15.3396 + 11.4569i 1.06617 + 0.796309i
\(208\) −2.17265 −0.150646
\(209\) 12.7772 + 13.6082i 0.883817 + 0.941302i
\(210\) 6.55962 + 2.08525i 0.452657 + 0.143896i
\(211\) 6.34031 7.55609i 0.436485 0.520183i −0.502297 0.864695i \(-0.667511\pi\)
0.938782 + 0.344513i \(0.111956\pi\)
\(212\) −0.0709710 0.194991i −0.00487431 0.0133921i
\(213\) −4.83840 23.5245i −0.331521 1.61187i
\(214\) −0.0645416 + 0.366034i −0.00441197 + 0.0250215i
\(215\) 0.0131565 0.0160986i 0.000897268 0.00109792i
\(216\) 4.26336 2.97048i 0.290085 0.202116i
\(217\) −4.45441 + 7.71526i −0.302385 + 0.523746i
\(218\) 0.563172 0.472558i 0.0381428 0.0320056i
\(219\) 9.69206 + 10.9079i 0.654928 + 0.737087i
\(220\) 6.24974 + 7.25505i 0.421357 + 0.489135i
\(221\) −0.827445 1.43318i −0.0556600 0.0964059i
\(222\) −4.04157 + 12.1652i −0.271252 + 0.816473i
\(223\) −2.25169 + 12.7700i −0.150784 + 0.855140i 0.811755 + 0.583998i \(0.198512\pi\)
−0.962539 + 0.271142i \(0.912599\pi\)
\(224\) −0.308608 1.75020i −0.0206198 0.116940i
\(225\) −14.4704 3.95055i −0.964695 0.263370i
\(226\) −2.32451 1.95050i −0.154624 0.129745i
\(227\) 9.21420i 0.611568i −0.952101 0.305784i \(-0.901081\pi\)
0.952101 0.305784i \(-0.0989185\pi\)
\(228\) 1.93089 + 7.29874i 0.127877 + 0.483371i
\(229\) 25.2683 1.66978 0.834888 0.550419i \(-0.185532\pi\)
0.834888 + 0.550419i \(0.185532\pi\)
\(230\) −12.2650 + 7.29482i −0.808733 + 0.481006i
\(231\) −12.2546 + 4.85743i −0.806291 + 0.319595i
\(232\) 1.37003 0.241574i 0.0899470 0.0158601i
\(233\) −0.839783 + 4.76264i −0.0550160 + 0.312011i −0.999881 0.0154499i \(-0.995082\pi\)
0.944865 + 0.327461i \(0.106193\pi\)
\(234\) −1.87905 + 6.24122i −0.122837 + 0.408002i
\(235\) −1.96746 10.3701i −0.128343 0.676472i
\(236\) 6.02674 10.4386i 0.392307 0.679496i
\(237\) 4.99239 + 5.61867i 0.324290 + 0.364972i
\(238\) 1.03698 0.870130i 0.0672174 0.0564021i
\(239\) −18.3835 10.6137i −1.18913 0.686546i −0.231023 0.972948i \(-0.574207\pi\)
−0.958109 + 0.286402i \(0.907541\pi\)
\(240\) 0.829351 + 3.78314i 0.0535344 + 0.244201i
\(241\) −6.62459 + 18.2009i −0.426728 + 1.17242i 0.521060 + 0.853520i \(0.325537\pi\)
−0.947787 + 0.318904i \(0.896685\pi\)
\(242\) −7.22750 1.27440i −0.464601 0.0819218i
\(243\) −4.84587 14.8161i −0.310863 0.950455i
\(244\) 10.1312 3.68746i 0.648584 0.236065i
\(245\) 4.39104 + 7.38282i 0.280533 + 0.471671i
\(246\) 0.162064 + 5.72239i 0.0103328 + 0.364846i
\(247\) −7.58282 5.67350i −0.482483 0.360996i
\(248\) −5.01282 −0.318315
\(249\) 14.8465 + 11.7578i 0.940860 + 0.745122i
\(250\) 6.84818 8.83756i 0.433117 0.558936i
\(251\) −3.79741 + 0.669586i −0.239690 + 0.0422639i −0.292203 0.956356i \(-0.594388\pi\)
0.0525124 + 0.998620i \(0.483277\pi\)
\(252\) −5.29460 0.627173i −0.333528 0.0395082i
\(253\) 9.34743 25.6818i 0.587668 1.61460i
\(254\) 17.8267 10.2923i 1.11855 0.645795i
\(255\) −2.17967 + 1.98787i −0.136496 + 0.124485i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −2.41397 2.87686i −0.150579 0.179453i 0.685482 0.728090i \(-0.259592\pi\)
−0.836061 + 0.548636i \(0.815147\pi\)
\(258\) −0.00765420 + 0.0141693i −0.000476530 + 0.000882141i
\(259\) 11.3910 6.57657i 0.707799 0.408648i
\(260\) −3.76176 3.07429i −0.233294 0.190659i
\(261\) 0.490941 4.14453i 0.0303885 0.256540i
\(262\) −3.25978 18.4871i −0.201390 1.14214i
\(263\) −14.2813 + 5.19798i −0.880625 + 0.320521i −0.742462 0.669888i \(-0.766342\pi\)
−0.138163 + 0.990410i \(0.544120\pi\)
\(264\) −5.81471 4.60501i −0.357871 0.283419i
\(265\) 0.153031 0.438034i 0.00940062 0.0269082i
\(266\) 3.49328 6.91431i 0.214187 0.423943i
\(267\) 8.46699 0.239794i 0.518172 0.0146752i
\(268\) −3.11150 2.61086i −0.190065 0.159484i
\(269\) 7.56447 2.75324i 0.461214 0.167868i −0.100954 0.994891i \(-0.532190\pi\)
0.562168 + 0.827023i \(0.309967\pi\)
\(270\) 11.5849 + 0.889489i 0.705032 + 0.0541326i
\(271\) 5.24820 29.7640i 0.318805 1.80803i −0.231237 0.972897i \(-0.574277\pi\)
0.550042 0.835137i \(-0.314612\pi\)
\(272\) 0.715756 + 0.260514i 0.0433991 + 0.0157960i
\(273\) 5.69488 3.50656i 0.344670 0.212227i
\(274\) 1.43924 + 0.830947i 0.0869478 + 0.0501993i
\(275\) 0.555044 + 21.4048i 0.0334704 + 1.29076i
\(276\) 8.26319 7.34214i 0.497386 0.441945i
\(277\) 16.8444 + 9.72509i 1.01208 + 0.584324i 0.911800 0.410635i \(-0.134693\pi\)
0.100279 + 0.994959i \(0.468026\pi\)
\(278\) 15.3402 8.85667i 0.920045 0.531188i
\(279\) −4.33542 + 14.4000i −0.259555 + 0.862105i
\(280\) 1.94220 3.46701i 0.116069 0.207193i
\(281\) 3.16143 + 17.9294i 0.188595 + 1.06958i 0.921249 + 0.388974i \(0.127170\pi\)
−0.732654 + 0.680602i \(0.761719\pi\)
\(282\) 3.01272 + 7.60063i 0.179405 + 0.452611i
\(283\) 12.6817 15.1135i 0.753850 0.898403i −0.243592 0.969878i \(-0.578326\pi\)
0.997442 + 0.0714743i \(0.0227704\pi\)
\(284\) −13.8661 −0.822805
\(285\) −6.98449 + 15.3693i −0.413726 + 0.910402i
\(286\) 9.30417 0.550167
\(287\) 3.77568 4.49968i 0.222872 0.265608i
\(288\) −1.18397 2.75649i −0.0697659 0.162428i
\(289\) −2.85127 16.1704i −0.167722 0.951198i
\(290\) 2.71392 + 1.52032i 0.159367 + 0.0892764i
\(291\) −5.63709 1.87278i −0.330452 0.109784i
\(292\) 7.29586 4.21226i 0.426958 0.246504i
\(293\) 12.9559 + 7.48008i 0.756890 + 0.436991i 0.828178 0.560465i \(-0.189378\pi\)
−0.0712879 + 0.997456i \(0.522711\pi\)
\(294\) −4.41953 4.97395i −0.257752 0.290086i
\(295\) 25.2053 9.54578i 1.46751 0.555777i
\(296\) 6.40948 + 3.70051i 0.372543 + 0.215088i
\(297\) −18.2574 + 12.7208i −1.05940 + 0.738136i
\(298\) −13.3876 4.87268i −0.775521 0.282267i
\(299\) −2.40776 + 13.6551i −0.139244 + 0.789693i
\(300\) −3.91717 + 7.72372i −0.226158 + 0.445929i
\(301\) 0.0155278 0.00565166i 0.000895008 0.000325756i
\(302\) −16.9444 14.2180i −0.975041 0.818157i
\(303\) −0.424664 14.9946i −0.0243963 0.861419i
\(304\) 4.35212 0.243015i 0.249611 0.0139379i
\(305\) 22.7590 + 7.95107i 1.30318 + 0.455277i
\(306\) 1.36739 1.83079i 0.0781686 0.104659i
\(307\) 13.1823 4.79797i 0.752354 0.273835i 0.0627582 0.998029i \(-0.480010\pi\)
0.689596 + 0.724194i \(0.257788\pi\)
\(308\) 1.32159 + 7.49509i 0.0753043 + 0.427072i
\(309\) −0.149713 + 1.01658i −0.00851687 + 0.0578315i
\(310\) −8.67927 7.09311i −0.492950 0.402861i
\(311\) 0.786255 0.453945i 0.0445844 0.0257408i −0.477542 0.878609i \(-0.658472\pi\)
0.522127 + 0.852868i \(0.325139\pi\)
\(312\) 3.31094 + 1.78856i 0.187445 + 0.101257i
\(313\) 5.20150 + 6.19891i 0.294006 + 0.350383i 0.892746 0.450561i \(-0.148776\pi\)
−0.598739 + 0.800944i \(0.704331\pi\)
\(314\) 11.6235 9.75328i 0.655952 0.550409i
\(315\) −8.27969 8.57771i −0.466508 0.483299i
\(316\) 3.75810 2.16974i 0.211410 0.122058i
\(317\) 10.0330 27.5654i 0.563508 1.54822i −0.250949 0.968000i \(-0.580743\pi\)
0.814457 0.580225i \(-0.197035\pi\)
\(318\) −0.0523656 + 0.355575i −0.00293652 + 0.0199396i
\(319\) −5.86704 + 1.03452i −0.328491 + 0.0579218i
\(320\) 2.23588 0.0289842i 0.124989 0.00162026i
\(321\) 0.399680 0.504673i 0.0223080 0.0281681i
\(322\) −11.3420 −0.632065
\(323\) 1.81779 + 2.77830i 0.101145 + 0.154589i
\(324\) −8.94234 + 1.01711i −0.496797 + 0.0565060i
\(325\) −2.16307 10.6457i −0.119986 0.590518i
\(326\) −19.3357 + 7.03762i −1.07090 + 0.389777i
\(327\) −1.24724 + 0.256527i −0.0689727 + 0.0141860i
\(328\) 3.25493 + 0.573933i 0.179724 + 0.0316901i
\(329\) 2.86924 7.88316i 0.158186 0.434613i
\(330\) −3.55162 16.2010i −0.195510 0.891833i
\(331\) −10.3520 5.97673i −0.568998 0.328511i 0.187751 0.982217i \(-0.439880\pi\)
−0.756749 + 0.653706i \(0.773213\pi\)
\(332\) 8.37603 7.02833i 0.459695 0.385730i
\(333\) 16.1735 15.2116i 0.886305 0.833591i
\(334\) 11.7152 20.2913i 0.641025 1.11029i
\(335\) −1.69295 8.92323i −0.0924957 0.487528i
\(336\) −0.970500 + 2.92122i −0.0529451 + 0.159365i
\(337\) −3.44453 + 19.5349i −0.187636 + 1.06413i 0.734887 + 0.678190i \(0.237235\pi\)
−0.922522 + 0.385944i \(0.873876\pi\)
\(338\) 8.15380 1.43774i 0.443508 0.0782025i
\(339\) 1.93669 + 4.88597i 0.105186 + 0.265369i
\(340\) 0.870645 + 1.46385i 0.0472173 + 0.0793882i
\(341\) 21.4669 1.16250
\(342\) 3.06590 12.7122i 0.165785 0.687397i
\(343\) 19.2676i 1.04035i
\(344\) 0.00712264 + 0.00597661i 0.000384027 + 0.000322237i
\(345\) 24.6961 1.01993i 1.32959 0.0549114i
\(346\) 3.93876 + 22.3378i 0.211749 + 1.20089i
\(347\) −5.53827 + 31.4091i −0.297310 + 1.68613i 0.360354 + 0.932815i \(0.382656\pi\)
−0.657664 + 0.753311i \(0.728455\pi\)
\(348\) −2.28668 0.759692i −0.122579 0.0407237i
\(349\) −5.09466 8.82421i −0.272711 0.472349i 0.696844 0.717223i \(-0.254587\pi\)
−0.969555 + 0.244874i \(0.921254\pi\)
\(350\) 8.26854 3.25463i 0.441972 0.173967i
\(351\) 8.00137 7.96424i 0.427082 0.425100i
\(352\) −3.28051 + 2.75268i −0.174852 + 0.146718i
\(353\) −9.43899 + 16.3488i −0.502387 + 0.870159i 0.497610 + 0.867401i \(0.334211\pi\)
−0.999996 + 0.00275791i \(0.999122\pi\)
\(354\) −17.7775 + 10.9463i −0.944861 + 0.581788i
\(355\) −24.0080 19.6205i −1.27421 1.04135i
\(356\) 0.849206 4.81609i 0.0450078 0.255252i
\(357\) −2.29657 + 0.472348i −0.121548 + 0.0249993i
\(358\) −6.38438 17.5409i −0.337425 0.927067i
\(359\) −5.06268 + 6.03347i −0.267198 + 0.318434i −0.882915 0.469533i \(-0.844422\pi\)
0.615717 + 0.787968i \(0.288867\pi\)
\(360\) 1.85047 6.44793i 0.0975286 0.339836i
\(361\) 15.8240 + 10.5167i 0.832844 + 0.553508i
\(362\) 13.7732 0.723903
\(363\) 9.96500 + 7.89186i 0.523027 + 0.414215i
\(364\) −1.32062 3.62838i −0.0692195 0.190179i
\(365\) 18.5925 + 3.03041i 0.973175 + 0.158619i
\(366\) −18.4747 2.72077i −0.965686 0.142217i
\(367\) 10.9918 30.1996i 0.573765 1.57641i −0.224741 0.974419i \(-0.572154\pi\)
0.798506 0.601987i \(-0.205624\pi\)
\(368\) −3.19097 5.52692i −0.166341 0.288111i
\(369\) 4.46378 8.85385i 0.232375 0.460913i
\(370\) 5.86126 + 15.4765i 0.304712 + 0.804584i
\(371\) 0.282501 0.237047i 0.0146667 0.0123069i
\(372\) 7.63912 + 4.12662i 0.396070 + 0.213956i
\(373\) 4.80246 + 8.31810i 0.248662 + 0.430695i 0.963155 0.268948i \(-0.0866759\pi\)
−0.714493 + 0.699643i \(0.753343\pi\)
\(374\) −3.06516 1.11563i −0.158495 0.0576876i
\(375\) −17.7112 + 7.83018i −0.914605 + 0.404349i
\(376\) 4.64867 0.819686i 0.239737 0.0422721i
\(377\) 2.84024 1.03376i 0.146280 0.0532415i
\(378\) 7.55222 + 5.31434i 0.388444 + 0.273340i
\(379\) 10.2857i 0.528342i 0.964476 + 0.264171i \(0.0850984\pi\)
−0.964476 + 0.264171i \(0.914902\pi\)
\(380\) 7.87919 + 5.73746i 0.404194 + 0.294325i
\(381\) −35.6392 + 1.00934i −1.82585 + 0.0517100i
\(382\) 4.55946 + 3.82585i 0.233282 + 0.195747i
\(383\) 10.2712 + 28.2199i 0.524834 + 1.44197i 0.865080 + 0.501634i \(0.167268\pi\)
−0.340246 + 0.940337i \(0.610510\pi\)
\(384\) −1.69654 + 0.348936i −0.0865761 + 0.0178066i
\(385\) −8.31728 + 14.8471i −0.423888 + 0.756680i
\(386\) −5.33800 + 14.6660i −0.271697 + 0.746482i
\(387\) 0.0233287 0.0152918i 0.00118586 0.000777324i
\(388\) −1.71474 + 2.97002i −0.0870529 + 0.150780i
\(389\) −7.40884 8.82951i −0.375643 0.447674i 0.544791 0.838572i \(-0.316609\pi\)
−0.920434 + 0.390898i \(0.872165\pi\)
\(390\) 3.20181 + 7.78168i 0.162130 + 0.394041i
\(391\) 2.43053 4.20981i 0.122917 0.212899i
\(392\) −3.32687 + 1.92077i −0.168033 + 0.0970136i
\(393\) −10.2512 + 30.8563i −0.517106 + 1.55649i
\(394\) −7.28180 1.28398i −0.366852 0.0646858i
\(395\) 9.57700 + 1.56097i 0.481871 + 0.0785408i
\(396\) 5.07022 + 11.8044i 0.254788 + 0.593193i
\(397\) −20.7497 + 24.7285i −1.04140 + 1.24109i −0.0715325 + 0.997438i \(0.522789\pi\)
−0.969863 + 0.243649i \(0.921655\pi\)
\(398\) 6.03893i 0.302704i
\(399\) −11.0154 + 7.66111i −0.551461 + 0.383535i
\(400\) 3.91225 + 3.11357i 0.195612 + 0.155679i
\(401\) −1.26880 1.06465i −0.0633608 0.0531660i 0.610557 0.791972i \(-0.290946\pi\)
−0.673918 + 0.738806i \(0.735390\pi\)
\(402\) 2.59237 + 6.54016i 0.129296 + 0.326193i
\(403\) −10.7257 + 1.89122i −0.534283 + 0.0942085i
\(404\) −8.52905 1.50390i −0.424336 0.0748219i
\(405\) −16.9221 10.8923i −0.840866 0.541244i
\(406\) 1.23619 + 2.14115i 0.0613513 + 0.106264i
\(407\) −27.4480 15.8471i −1.36055 0.785511i
\(408\) −0.876293 0.986221i −0.0433830 0.0488252i
\(409\) −5.05226 6.02104i −0.249818 0.297721i 0.626533 0.779395i \(-0.284473\pi\)
−0.876351 + 0.481674i \(0.840029\pi\)
\(410\) 4.82353 + 5.59942i 0.238217 + 0.276536i
\(411\) −1.50924 2.45110i −0.0744452 0.120904i
\(412\) 0.557478 + 0.202906i 0.0274650 + 0.00999644i
\(413\) 21.0960 + 3.71980i 1.03807 + 0.183040i
\(414\) −18.6366 + 4.38643i −0.915937 + 0.215581i
\(415\) 24.4474 0.316917i 1.20008 0.0155568i
\(416\) 1.39655 1.66435i 0.0684716 0.0816013i
\(417\) −30.6681 + 0.868554i −1.50182 + 0.0425333i
\(418\) −18.6375 + 1.04069i −0.911592 + 0.0509017i
\(419\) 20.7310i 1.01277i −0.862306 0.506387i \(-0.830981\pi\)
0.862306 0.506387i \(-0.169019\pi\)
\(420\) −5.81384 + 3.68458i −0.283686 + 0.179789i
\(421\) −9.31585 25.5951i −0.454027 1.24743i −0.929867 0.367896i \(-0.880078\pi\)
0.475840 0.879532i \(-0.342144\pi\)
\(422\) 1.71283 + 9.71392i 0.0833791 + 0.472866i
\(423\) 1.66582 14.0628i 0.0809949 0.683758i
\(424\) 0.194991 + 0.0709710i 0.00946961 + 0.00344666i
\(425\) −0.563886 + 3.76648i −0.0273525 + 0.182701i
\(426\) 21.1308 + 11.4148i 1.02379 + 0.553049i
\(427\) 12.3163 + 14.6780i 0.596027 + 0.710318i
\(428\) −0.238912 0.284724i −0.0115482 0.0137626i
\(429\) −14.1788 7.65932i −0.684558 0.369796i
\(430\) 0.00387539 + 0.0204265i 0.000186888 + 0.000985052i
\(431\) −30.6120 11.1419i −1.47453 0.536684i −0.525202 0.850977i \(-0.676010\pi\)
−0.949326 + 0.314293i \(0.898233\pi\)
\(432\) −0.464914 + 5.17531i −0.0223682 + 0.248997i
\(433\) −5.99363 33.9916i −0.288035 1.63353i −0.694237 0.719747i \(-0.744258\pi\)
0.406201 0.913784i \(-0.366853\pi\)
\(434\) −3.04699 8.37154i −0.146260 0.401847i
\(435\) −2.88423 4.55098i −0.138288 0.218203i
\(436\) 0.735169i 0.0352082i
\(437\) 3.29573 27.6223i 0.157656 1.32135i
\(438\) −14.5859 + 0.413087i −0.696940 + 0.0197381i
\(439\) −4.60712 + 5.49056i −0.219886 + 0.262050i −0.864699 0.502290i \(-0.832491\pi\)
0.644813 + 0.764340i \(0.276935\pi\)
\(440\) −9.57495 + 0.124122i −0.456468 + 0.00591728i
\(441\) 2.64037 + 11.2181i 0.125732 + 0.534195i
\(442\) 1.62975 + 0.287369i 0.0775192 + 0.0136687i
\(443\) −33.3331 12.1323i −1.58370 0.576421i −0.607698 0.794168i \(-0.707907\pi\)
−0.976005 + 0.217747i \(0.930129\pi\)
\(444\) −6.72119 10.9156i −0.318974 0.518033i
\(445\) 8.28505 7.13702i 0.392749 0.338327i
\(446\) −8.33500 9.93327i −0.394674 0.470354i
\(447\) 16.3903 + 18.4464i 0.775233 + 0.872484i
\(448\) 1.53910 + 0.888602i 0.0727158 + 0.0419825i
\(449\) −18.4631 31.9789i −0.871325 1.50918i −0.860626 0.509237i \(-0.829928\pi\)
−0.0106992 0.999943i \(-0.503406\pi\)
\(450\) 12.3277 8.54562i 0.581134 0.402845i
\(451\) −13.9389 2.45781i −0.656359 0.115734i
\(452\) 2.98834 0.526925i 0.140560 0.0247845i
\(453\) 14.1174 + 35.6160i 0.663291 + 1.67338i
\(454\) 7.05849 + 5.92277i 0.331271 + 0.277970i
\(455\) 2.84759 8.15091i 0.133497 0.382120i
\(456\) −6.83232 3.21239i −0.319953 0.150434i
\(457\) 25.5668i 1.19597i 0.801509 + 0.597983i \(0.204031\pi\)
−0.801509 + 0.597983i \(0.795969\pi\)
\(458\) −16.2422 + 19.3566i −0.758946 + 0.904477i
\(459\) −3.59092 + 1.66432i −0.167610 + 0.0776837i
\(460\) 2.29566 14.0846i 0.107036 0.656697i
\(461\) −22.0151 3.88185i −1.02534 0.180796i −0.364409 0.931239i \(-0.618729\pi\)
−0.660935 + 0.750443i \(0.729840\pi\)
\(462\) 4.15607 12.5098i 0.193358 0.582010i
\(463\) −0.0527706 + 0.0304671i −0.00245246 + 0.00141593i −0.501226 0.865317i \(-0.667117\pi\)
0.498773 + 0.866732i \(0.333784\pi\)
\(464\) −0.695584 + 1.20479i −0.0322917 + 0.0559308i
\(465\) 7.38734 + 17.9542i 0.342579 + 0.832606i
\(466\) −3.10859 3.70468i −0.144003 0.171616i
\(467\) 6.86983 11.8989i 0.317898 0.550615i −0.662151 0.749370i \(-0.730356\pi\)
0.980049 + 0.198755i \(0.0636898\pi\)
\(468\) −3.57322 5.45122i −0.165172 0.251983i
\(469\) 2.46891 6.78327i 0.114004 0.313222i
\(470\) 9.20863 + 5.15862i 0.424762 + 0.237949i
\(471\) −25.7423 + 5.29455i −1.18614 + 0.243960i
\(472\) 4.12253 + 11.3266i 0.189755 + 0.521347i
\(473\) −0.0305020 0.0255942i −0.00140249 0.00117682i
\(474\) −7.51319 + 0.212782i −0.345092 + 0.00977338i
\(475\) 5.52367 + 21.0829i 0.253443 + 0.967350i
\(476\) 1.35368i 0.0620459i
\(477\) 0.372515 0.498758i 0.0170563 0.0228365i
\(478\) 19.9473 7.26023i 0.912369 0.332075i
\(479\) 5.40172 0.952469i 0.246811 0.0435194i −0.0488739 0.998805i \(-0.515563\pi\)
0.295685 + 0.955286i \(0.404452\pi\)
\(480\) −3.43115 1.79644i −0.156610 0.0819958i
\(481\) 15.1101 + 5.49963i 0.688962 + 0.250762i
\(482\) −9.68451 16.7741i −0.441117 0.764037i
\(483\) 17.2843 + 9.33690i 0.786461 + 0.424843i
\(484\) 5.62200 4.71742i 0.255545 0.214428i
\(485\) −7.17149 + 2.71599i −0.325641 + 0.123327i
\(486\) 14.4647 + 5.81147i 0.656131 + 0.263614i
\(487\) −13.1225 22.7288i −0.594636 1.02994i −0.993598 0.112973i \(-0.963963\pi\)
0.398962 0.916968i \(-0.369371\pi\)
\(488\) −3.68746 + 10.1312i −0.166923 + 0.458618i
\(489\) 35.2594 + 5.19267i 1.59449 + 0.234821i
\(490\) −8.47808 1.38185i −0.383000 0.0624257i
\(491\) 12.7898 + 35.1398i 0.577197 + 1.58584i 0.792884 + 0.609373i \(0.208579\pi\)
−0.215686 + 0.976463i \(0.569199\pi\)
\(492\) −4.48778 3.55413i −0.202325 0.160233i
\(493\) −1.05964 −0.0477238
\(494\) 9.22030 2.16192i 0.414841 0.0972693i
\(495\) −7.92448 + 27.6126i −0.356179 + 1.24110i
\(496\) 3.22218 3.84004i 0.144680 0.172423i
\(497\) −8.42840 23.1568i −0.378065 1.03873i
\(498\) −18.5502 + 3.81531i −0.831254 + 0.170968i
\(499\) −6.59648 + 37.4105i −0.295299 + 1.67472i 0.370686 + 0.928758i \(0.379123\pi\)
−0.665985 + 0.745965i \(0.731988\pi\)
\(500\) 2.36804 + 10.9267i 0.105902 + 0.488656i
\(501\) −34.5570 + 21.2781i −1.54389 + 0.950635i
\(502\) 1.92800 3.33939i 0.0860507 0.149044i
\(503\) −6.88143 + 5.77421i −0.306828 + 0.257459i −0.783179 0.621796i \(-0.786403\pi\)
0.476352 + 0.879255i \(0.341959\pi\)
\(504\) 3.88374 3.65276i 0.172996 0.162707i
\(505\) −12.6393 14.6724i −0.562442 0.652914i
\(506\) 13.6650 + 23.6685i 0.607484 + 1.05219i
\(507\) −13.6093 4.52134i −0.604409 0.200800i
\(508\) −3.57447 + 20.2718i −0.158591 + 0.899417i
\(509\) −4.64448 26.3401i −0.205863 1.16751i −0.896076 0.443900i \(-0.853595\pi\)
0.690214 0.723606i \(-0.257517\pi\)
\(510\) −0.121730 2.94751i −0.00539031 0.130518i
\(511\) 11.4693 + 9.62389i 0.507372 + 0.425736i
\(512\) 1.00000i 0.0441942i
\(513\) −15.1370 + 16.8484i −0.668317 + 0.743877i
\(514\) 3.75547 0.165647
\(515\) 0.678116 + 1.14014i 0.0298814 + 0.0502406i
\(516\) −0.00593428 0.0149713i −0.000261242 0.000659075i
\(517\) −19.9075 + 3.51023i −0.875531 + 0.154380i
\(518\) −2.28402 + 12.9533i −0.100354 + 0.569136i
\(519\) 12.3865 37.2834i 0.543706 1.63656i
\(520\) 4.77305 0.905562i 0.209312 0.0397115i
\(521\) 13.1034 22.6958i 0.574071 0.994320i −0.422071 0.906563i \(-0.638697\pi\)
0.996142 0.0877571i \(-0.0279699\pi\)
\(522\) 2.85932 + 3.04013i 0.125149 + 0.133063i
\(523\) −23.0996 + 19.3829i −1.01008 + 0.847555i −0.988348 0.152209i \(-0.951361\pi\)
−0.0217287 + 0.999764i \(0.506917\pi\)
\(524\) 16.2573 + 9.38616i 0.710204 + 0.410036i
\(525\) −15.2798 1.84700i −0.666866 0.0806095i
\(526\) 5.19798 14.2813i 0.226643 0.622696i
\(527\) 3.76022 + 0.663028i 0.163798 + 0.0288819i
\(528\) 7.26527 1.49428i 0.316180 0.0650304i
\(529\) −16.6599 + 6.06372i −0.724345 + 0.263640i
\(530\) 0.237187 + 0.398791i 0.0103028 + 0.0173224i
\(531\) 36.1025 2.04656i 1.56671 0.0888132i
\(532\) 3.05123 + 7.12044i 0.132288 + 0.308710i
\(533\) 7.18093 0.311041
\(534\) −5.25879 + 6.64023i −0.227570 + 0.287351i
\(535\) −0.0107728 0.831033i −0.000465751 0.0359287i
\(536\) 4.00007 0.705320i 0.172777 0.0304652i
\(537\) −4.71068 + 31.9866i −0.203281 + 1.38032i
\(538\) −2.75324 + 7.56447i −0.118701 + 0.326128i
\(539\) 14.2470 8.22552i 0.613663 0.354298i
\(540\) −8.12799 + 8.30276i −0.349773 + 0.357294i
\(541\) 5.19668 4.36054i 0.223423 0.187474i −0.524205 0.851592i \(-0.675637\pi\)
0.747628 + 0.664118i \(0.231193\pi\)
\(542\) 19.4271 + 23.1523i 0.834464 + 0.994476i
\(543\) −20.9892 11.3383i −0.900733 0.486573i
\(544\) −0.659644 + 0.380846i −0.0282820 + 0.0163286i
\(545\) −1.04026 + 1.27288i −0.0445598 + 0.0545243i
\(546\) −0.974416 + 6.61651i −0.0417012 + 0.283160i
\(547\) −5.83161 33.0727i −0.249342 1.41409i −0.810190 0.586168i \(-0.800636\pi\)
0.560848 0.827919i \(-0.310475\pi\)
\(548\) −1.56167 + 0.568401i −0.0667112 + 0.0242809i
\(549\) 25.9141 + 19.3548i 1.10599 + 0.826044i
\(550\) −16.7538 13.3336i −0.714386 0.568545i
\(551\) −5.57377 + 2.38846i −0.237450 + 0.101752i
\(552\) 0.312931 + 11.0494i 0.0133192 + 0.470294i
\(553\) 5.90785 + 4.95727i 0.251227 + 0.210805i
\(554\) −18.2772 + 6.65235i −0.776524 + 0.282631i
\(555\) 3.80839 28.4099i 0.161657 1.20593i
\(556\) −3.07589 + 17.4442i −0.130447 + 0.739801i
\(557\) 10.0444 + 3.65587i 0.425596 + 0.154904i 0.545933 0.837829i \(-0.316175\pi\)
−0.120337 + 0.992733i \(0.538398\pi\)
\(558\) −8.24428 12.5773i −0.349008 0.532438i
\(559\) 0.0174947 + 0.0101006i 0.000739949 + 0.000427210i
\(560\) 1.40746 + 3.71636i 0.0594761 + 0.157045i
\(561\) 3.75264 + 4.22340i 0.158437 + 0.178312i
\(562\) −15.7668 9.10297i −0.665083 0.383986i
\(563\) 12.1664 7.02426i 0.512752 0.296037i −0.221212 0.975226i \(-0.571001\pi\)
0.733964 + 0.679188i \(0.237668\pi\)
\(564\) −7.75896 2.57772i −0.326711 0.108541i
\(565\) 5.91965 + 3.31615i 0.249041 + 0.139512i
\(566\) 3.42595 + 19.4295i 0.144003 + 0.816684i
\(567\) −7.13411 14.3157i −0.299604 0.601203i
\(568\) 8.91299 10.6221i 0.373981 0.445693i
\(569\) −15.7947 −0.662149 −0.331074 0.943605i \(-0.607411\pi\)
−0.331074 + 0.943605i \(0.607411\pi\)
\(570\) −7.28406 15.2297i −0.305096 0.637900i
\(571\) 16.6332 0.696078 0.348039 0.937480i \(-0.386848\pi\)
0.348039 + 0.937480i \(0.386848\pi\)
\(572\) −5.98061 + 7.12741i −0.250062 + 0.298012i
\(573\) −3.79875 9.58368i −0.158695 0.400364i
\(574\) 1.02000 + 5.78468i 0.0425738 + 0.241448i
\(575\) 23.9043 21.1379i 0.996880 0.881511i
\(576\) 2.87263 + 0.864865i 0.119693 + 0.0360361i
\(577\) 21.7458 12.5549i 0.905288 0.522668i 0.0263761 0.999652i \(-0.491603\pi\)
0.878912 + 0.476984i \(0.158270\pi\)
\(578\) 14.2200 + 8.20991i 0.591473 + 0.341487i
\(579\) 20.2080 17.9555i 0.839814 0.746205i
\(580\) −2.90911 + 1.10174i −0.120794 + 0.0457472i
\(581\) 16.8288 + 9.71610i 0.698175 + 0.403092i
\(582\) 5.05809 3.11446i 0.209664 0.129099i
\(583\) −0.835032 0.303927i −0.0345835 0.0125874i
\(584\) −1.46290 + 8.29654i −0.0605354 + 0.343313i
\(585\) 1.52670 14.4944i 0.0631213 0.599270i
\(586\) −14.0579 + 5.11667i −0.580728 + 0.211368i
\(587\) −18.1425 15.2234i −0.748822 0.628336i 0.186369 0.982480i \(-0.440328\pi\)
−0.935191 + 0.354144i \(0.884772\pi\)
\(588\) 6.65108 0.188366i 0.274286 0.00776807i
\(589\) 21.2734 4.98806i 0.876556 0.205530i
\(590\) −8.88919 + 25.4443i −0.365962 + 1.04753i
\(591\) 10.0399 + 7.95115i 0.412985 + 0.327067i
\(592\) −6.95469 + 2.53130i −0.285836 + 0.104036i
\(593\) 0.865939 + 4.91098i 0.0355599 + 0.201670i 0.997412 0.0719006i \(-0.0229064\pi\)
−0.961852 + 0.273571i \(0.911795\pi\)
\(594\) 1.99095 22.1628i 0.0816896 0.909350i
\(595\) −1.91545 + 2.34378i −0.0785258 + 0.0960857i
\(596\) 12.3380 7.12338i 0.505386 0.291785i
\(597\) −4.97133 + 9.20282i −0.203463 + 0.376646i
\(598\) −8.91271 10.6218i −0.364468 0.434356i
\(599\) 3.60400 3.02411i 0.147255 0.123562i −0.566184 0.824279i \(-0.691581\pi\)
0.713439 + 0.700717i \(0.247136\pi\)
\(600\) −3.39880 7.96544i −0.138755 0.325188i
\(601\) 15.7532 9.09510i 0.642585 0.370997i −0.143024 0.989719i \(-0.545683\pi\)
0.785610 + 0.618722i \(0.212349\pi\)
\(602\) −0.00565166 + 0.0155278i −0.000230345 + 0.000632866i
\(603\) 1.43340 12.1007i 0.0583724 0.492780i
\(604\) 21.7833 3.84099i 0.886350 0.156287i
\(605\) 16.4091 0.212715i 0.667125 0.00864808i
\(606\) 11.7595 + 9.31305i 0.477698 + 0.378317i
\(607\) −6.34256 −0.257437 −0.128718 0.991681i \(-0.541086\pi\)
−0.128718 + 0.991681i \(0.541086\pi\)
\(608\) −2.61133 + 3.49012i −0.105903 + 0.141543i
\(609\) −0.121231 4.28059i −0.00491252 0.173458i
\(610\) −20.7201 + 12.3236i −0.838932 + 0.498967i
\(611\) 9.63725 3.50767i 0.389881 0.141905i
\(612\) 0.523526 + 2.22429i 0.0211623 + 0.0899118i
\(613\) −14.0354 2.47482i −0.566883 0.0999568i −0.117141 0.993115i \(-0.537373\pi\)
−0.449742 + 0.893158i \(0.648484\pi\)
\(614\) −4.79797 + 13.1823i −0.193630 + 0.531995i
\(615\) −2.74113 12.5038i −0.110533 0.504204i
\(616\) −6.59107 3.80536i −0.265562 0.153322i
\(617\) 20.0114 16.7916i 0.805630 0.676004i −0.143930 0.989588i \(-0.545974\pi\)
0.949561 + 0.313584i \(0.101530\pi\)
\(618\) −0.682515 0.768135i −0.0274548 0.0308989i
\(619\) −7.82506 + 13.5534i −0.314516 + 0.544757i −0.979334 0.202248i \(-0.935175\pi\)
0.664819 + 0.747005i \(0.268509\pi\)
\(620\) 11.0126 2.08935i 0.442275 0.0839102i
\(621\) 32.0115 + 8.65731i 1.28458 + 0.347406i
\(622\) −0.157653 + 0.894096i −0.00632132 + 0.0358500i
\(623\) 8.55917 1.50921i 0.342916 0.0604653i
\(624\) −3.49834 + 1.38666i −0.140046 + 0.0555109i
\(625\) −11.3611 + 22.2694i −0.454445 + 0.890775i
\(626\) −8.09210 −0.323425
\(627\) 29.2587 + 13.7568i 1.16848 + 0.549392i
\(628\) 15.1734i 0.605485i
\(629\) −4.31842 3.62359i −0.172187 0.144482i
\(630\) 11.8930 0.828966i 0.473828 0.0330268i
\(631\) −4.43669 25.1617i −0.176622 1.00167i −0.936255 0.351321i \(-0.885733\pi\)
0.759633 0.650352i \(-0.225379\pi\)
\(632\) −0.753543 + 4.27356i −0.0299744 + 0.169993i
\(633\) 5.38643 16.2132i 0.214091 0.644418i
\(634\) 14.6672 + 25.4044i 0.582510 + 1.00894i
\(635\) −34.8734 + 30.0411i −1.38391 + 1.19214i
\(636\) −0.238726 0.268673i −0.00946610 0.0106536i
\(637\) −6.39366 + 5.36492i −0.253326 + 0.212566i
\(638\) 2.97877 5.15938i 0.117931 0.204262i
\(639\) −22.8048 34.7904i −0.902144 1.37629i
\(640\) −1.41499 + 1.73141i −0.0559325 + 0.0684402i
\(641\) 0.791320 4.48780i 0.0312553 0.177258i −0.965184 0.261572i \(-0.915759\pi\)
0.996439 + 0.0843148i \(0.0268701\pi\)
\(642\) 0.129693 + 0.630570i 0.00511856 + 0.0248866i
\(643\) 9.60424 + 26.3874i 0.378754 + 1.04062i 0.971873 + 0.235504i \(0.0756742\pi\)
−0.593119 + 0.805115i \(0.702104\pi\)
\(644\) 7.29050 8.68848i 0.287286 0.342374i
\(645\) 0.0109096 0.0343185i 0.000429564 0.00135129i
\(646\) −3.29675 0.393349i −0.129709 0.0154761i
\(647\) −25.2337 −0.992038 −0.496019 0.868312i \(-0.665205\pi\)
−0.496019 + 0.868312i \(0.665205\pi\)
\(648\) 4.96888 7.50402i 0.195196 0.294786i
\(649\) −17.6544 48.5049i −0.692994 1.90398i
\(650\) 9.54549 + 5.18593i 0.374405 + 0.203409i
\(651\) −2.24821 + 15.2659i −0.0881143 + 0.598316i
\(652\) 7.03762 19.3357i 0.275614 0.757244i
\(653\) 1.74619 + 3.02449i 0.0683337 + 0.118357i 0.898168 0.439653i \(-0.144898\pi\)
−0.829834 + 0.558010i \(0.811565\pi\)
\(654\) 0.605201 1.12034i 0.0236652 0.0438086i
\(655\) 14.8668 + 39.2553i 0.580893 + 1.53383i
\(656\) −2.53189 + 2.12451i −0.0988537 + 0.0829481i
\(657\) 22.5677 + 11.3778i 0.880449 + 0.443889i
\(658\) 4.19454 + 7.26516i 0.163520 + 0.283226i
\(659\) 15.8542 + 5.77046i 0.617593 + 0.224785i 0.631822 0.775113i \(-0.282307\pi\)
−0.0142295 + 0.999899i \(0.504530\pi\)
\(660\) 14.6936 + 7.69308i 0.571947 + 0.299453i
\(661\) −15.1762 + 2.67598i −0.590287 + 0.104083i −0.460810 0.887499i \(-0.652441\pi\)
−0.129477 + 0.991582i \(0.541330\pi\)
\(662\) 11.2326 4.08833i 0.436567 0.158897i
\(663\) −2.24703 1.77956i −0.0872675 0.0691122i
\(664\) 10.9341i 0.424327i
\(665\) −4.79242 + 16.6459i −0.185842 + 0.645500i
\(666\) 1.25662 + 22.1675i 0.0486931 + 0.858973i
\(667\) 6.80121 + 5.70689i 0.263344 + 0.220972i
\(668\) 8.01365 + 22.0173i 0.310057 + 0.851875i
\(669\) 4.52464 + 21.9990i 0.174933 + 0.850529i
\(670\) 7.92380 + 4.43887i 0.306123 + 0.171488i
\(671\) 15.7912 43.3859i 0.609612 1.67490i
\(672\) −1.61396 2.62117i −0.0622597 0.101114i
\(673\) 6.12370 10.6066i 0.236051 0.408853i −0.723526 0.690297i \(-0.757480\pi\)
0.959578 + 0.281444i \(0.0908133\pi\)
\(674\) −12.7505 15.1955i −0.491131 0.585307i
\(675\) −25.8213 + 2.87447i −0.993861 + 0.110638i
\(676\) −4.13979 + 7.17033i −0.159223 + 0.275782i
\(677\) −20.1922 + 11.6580i −0.776048 + 0.448051i −0.835028 0.550208i \(-0.814549\pi\)
0.0589800 + 0.998259i \(0.481215\pi\)
\(678\) −4.98775 1.65705i −0.191553 0.0636387i
\(679\) −6.00230 1.05837i −0.230347 0.0406164i
\(680\) −1.68101 0.273990i −0.0644638 0.0105070i
\(681\) −5.88083 14.8365i −0.225354 0.568534i
\(682\) −13.7987 + 16.4446i −0.528379 + 0.629697i
\(683\) 0.376958i 0.0144239i −0.999974 0.00721196i \(-0.997704\pi\)
0.999974 0.00721196i \(-0.00229566\pi\)
\(684\) 7.76739 + 10.5199i 0.296994 + 0.402237i
\(685\) −3.50818 1.22561i −0.134041 0.0468283i
\(686\) −14.7599 12.3850i −0.563534 0.472862i
\(687\) 40.6863 16.1271i 1.55228 0.615288i
\(688\) −0.00915669 + 0.00161457i −0.000349096 + 6.15550e-5i
\(689\) 0.443987 + 0.0782870i 0.0169146 + 0.00298250i
\(690\) −15.0930 + 19.5739i −0.574582 + 0.745166i
\(691\) 8.77928 + 15.2062i 0.333979 + 0.578469i 0.983288 0.182055i \(-0.0582750\pi\)
−0.649309 + 0.760525i \(0.724942\pi\)
\(692\) −19.6436 11.3412i −0.746737 0.431129i
\(693\) −16.6318 + 15.6426i −0.631789 + 0.594213i
\(694\) −20.5008 24.4319i −0.778200 0.927423i
\(695\) −30.0091 + 25.8508i −1.13831 + 0.980578i
\(696\) 2.05181 1.26338i 0.0777736 0.0478883i
\(697\) −2.36568 0.861036i −0.0896064 0.0326141i
\(698\) 10.0345 + 1.76936i 0.379812 + 0.0669711i
\(699\) 1.68749 + 8.20466i 0.0638269 + 0.310329i
\(700\) −2.82172 + 8.42611i −0.106651 + 0.318477i
\(701\) 6.98342 8.32252i 0.263760 0.314337i −0.617868 0.786282i \(-0.712003\pi\)
0.881628 + 0.471945i \(0.156448\pi\)
\(702\) 0.957776 + 11.2487i 0.0361489 + 0.424556i
\(703\) −30.8828 9.32643i −1.16477 0.351753i
\(704\) 4.28241i 0.161399i
\(705\) −9.78652 15.4420i −0.368582 0.581578i
\(706\) −6.45665 17.7395i −0.242999 0.667635i
\(707\) −2.67274 15.1579i −0.100519 0.570070i
\(708\) 3.04179 20.6544i 0.114318 0.776242i
\(709\) −0.548054 0.199475i −0.0205826 0.00749146i 0.331708 0.943382i \(-0.392375\pi\)
−0.352291 + 0.935891i \(0.614597\pi\)
\(710\) 30.4622 5.77942i 1.14323 0.216898i
\(711\) 11.6246 + 5.86070i 0.435958 + 0.219794i
\(712\) 3.14348 + 3.74625i 0.117807 + 0.140397i
\(713\) −20.5638 24.5069i −0.770119 0.917792i
\(714\) 1.11437 2.06290i 0.0417042 0.0772020i
\(715\) −20.4401 + 3.87798i −0.764418 + 0.145028i
\(716\) 17.5409 + 6.38438i 0.655536 + 0.238595i
\(717\) −36.3747 5.35693i −1.35844 0.200058i
\(718\) −1.36768 7.75648i −0.0510412 0.289469i
\(719\) −16.2739 44.7123i −0.606916 1.66749i −0.736925 0.675975i \(-0.763723\pi\)
0.130009 0.991513i \(-0.458499\pi\)
\(720\) 3.74994 + 5.56219i 0.139752 + 0.207291i
\(721\) 1.05434i 0.0392656i
\(722\) −18.2277 + 5.36193i −0.678365 + 0.199550i
\(723\) 0.949737 + 33.5347i 0.0353211 + 1.24717i
\(724\) −8.85324 + 10.5509i −0.329028 + 0.392121i
\(725\) −6.59582 2.20880i −0.244963 0.0820328i
\(726\) −12.4509 + 2.56084i −0.462096 + 0.0950416i
\(727\) 29.9296 + 5.27739i 1.11003 + 0.195728i 0.698458 0.715651i \(-0.253870\pi\)
0.411569 + 0.911379i \(0.364981\pi\)
\(728\) 3.62838 + 1.32062i 0.134477 + 0.0489456i
\(729\) −17.2589 20.7637i −0.639217 0.769026i
\(730\) −14.2724 + 12.2948i −0.528247 + 0.455049i
\(731\) −0.00455233 0.00542525i −0.000168374 0.000200660i
\(732\) 13.9595 12.4035i 0.515959 0.458448i
\(733\) 22.0169 + 12.7114i 0.813212 + 0.469508i 0.848070 0.529884i \(-0.177765\pi\)
−0.0348584 + 0.999392i \(0.511098\pi\)
\(734\) 16.0689 + 27.8321i 0.593113 + 1.02730i
\(735\) 11.7823 + 9.08510i 0.434597 + 0.335109i
\(736\) 6.28498 + 1.10821i 0.231667 + 0.0408492i
\(737\) −17.1299 + 3.02047i −0.630988 + 0.111260i
\(738\) 3.91318 + 9.11060i 0.144046 + 0.335366i
\(739\) −16.6031 13.9317i −0.610755 0.512484i 0.284127 0.958787i \(-0.408296\pi\)
−0.894882 + 0.446302i \(0.852741\pi\)
\(740\) −15.6232 5.45811i −0.574321 0.200644i
\(741\) −15.8307 4.29569i −0.581555 0.157806i
\(742\) 0.368779i 0.0135383i
\(743\) −14.9004 + 17.7576i −0.546641 + 0.651462i −0.966663 0.256052i \(-0.917578\pi\)
0.420022 + 0.907514i \(0.362023\pi\)
\(744\) −8.07151 + 3.19936i −0.295916 + 0.117294i
\(745\) 31.4418 + 5.12474i 1.15194 + 0.187756i
\(746\) −9.45899 1.66788i −0.346318 0.0610653i
\(747\) 31.4097 + 9.45655i 1.14922 + 0.345997i
\(748\) 2.82486 1.63094i 0.103287 0.0596329i
\(749\) 0.330276 0.572055i 0.0120680 0.0209024i
\(750\) 5.38630 18.6007i 0.196680 0.679203i
\(751\) 0.0322560 + 0.0384412i 0.00117704 + 0.00140274i 0.766633 0.642086i \(-0.221931\pi\)
−0.765456 + 0.643489i \(0.777486\pi\)
\(752\) −2.36019 + 4.08797i −0.0860674 + 0.149073i
\(753\) −5.68713 + 3.50179i −0.207251 + 0.127612i
\(754\) −1.03376 + 2.84024i −0.0376474 + 0.103435i
\(755\) 43.1509 + 24.1729i 1.57042 + 0.879742i
\(756\) −8.92550 + 2.36934i −0.324617 + 0.0861722i
\(757\) −10.0370 27.5764i −0.364801 1.00228i −0.977309 0.211818i \(-0.932062\pi\)
0.612508 0.790464i \(-0.290161\pi\)
\(758\) −7.87932 6.61154i −0.286190 0.240142i
\(759\) −1.34010 47.3180i −0.0486424 1.71754i
\(760\) −9.45979 + 2.34784i −0.343143 + 0.0851651i
\(761\) 2.19617i 0.0796110i −0.999207 0.0398055i \(-0.987326\pi\)
0.999207 0.0398055i \(-0.0126738\pi\)
\(762\) 22.1352 27.9500i 0.801875 1.01252i
\(763\) −1.22775 + 0.446865i −0.0444476 + 0.0161776i
\(764\) −5.86153 + 1.03355i −0.212063 + 0.0373924i
\(765\) −2.24092 + 4.59196i −0.0810206 + 0.166023i
\(766\) −28.2199 10.2712i −1.01963 0.371114i
\(767\) 13.0940 + 22.6795i 0.472797 + 0.818908i
\(768\) 0.823214 1.52392i 0.0297052 0.0549896i
\(769\) −24.4931 + 20.5521i −0.883243 + 0.741129i −0.966843 0.255371i \(-0.917802\pi\)
0.0836006 + 0.996499i \(0.473358\pi\)
\(770\) −6.02732 15.9150i −0.217209 0.573535i
\(771\) −5.72302 3.09156i −0.206110 0.111340i
\(772\) −7.80364 13.5163i −0.280859 0.486462i
\(773\) 5.58848 15.3542i 0.201004 0.552253i −0.797705 0.603047i \(-0.793953\pi\)
0.998709 + 0.0507940i \(0.0161752\pi\)