Properties

Label 690.2.w.a.7.6
Level $690$
Weight $2$
Character 690.7
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 7.6
Character \(\chi\) \(=\) 690.7
Dual form 690.2.w.a.493.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.997452 + 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(2.23599 + 0.0191781i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(0.197874 - 0.362379i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +O(q^{10})\) \(q+(-0.997452 + 0.0713392i) q^{2} +(0.212565 - 0.977147i) q^{3} +(0.989821 - 0.142315i) q^{4} +(2.23599 + 0.0191781i) q^{5} +(-0.142315 + 0.989821i) q^{6} +(0.197874 - 0.362379i) q^{7} +(-0.977147 + 0.212565i) q^{8} +(-0.909632 - 0.415415i) q^{9} +(-2.23166 + 0.140384i) q^{10} +(2.14545 - 1.85905i) q^{11} +(0.0713392 - 0.997452i) q^{12} +(1.42292 - 0.776975i) q^{13} +(-0.171518 + 0.375572i) q^{14} +(0.494033 - 2.18081i) q^{15} +(0.959493 - 0.281733i) q^{16} +(-0.178490 - 0.238435i) q^{17} +(0.936950 + 0.349464i) q^{18} +(0.324029 + 2.25367i) q^{19} +(2.21596 - 0.299231i) q^{20} +(-0.312036 - 0.270381i) q^{21} +(-2.00736 + 2.00736i) q^{22} +(-0.593093 - 4.75902i) q^{23} +1.00000i q^{24} +(4.99926 + 0.0857637i) q^{25} +(-1.36387 + 0.876506i) q^{26} +(-0.599278 + 0.800541i) q^{27} +(0.144288 - 0.386851i) q^{28} +(-2.51402 - 0.361462i) q^{29} +(-0.337197 + 2.21050i) q^{30} +(5.05222 + 3.24687i) q^{31} +(-0.936950 + 0.349464i) q^{32} +(-1.36051 - 2.49159i) q^{33} +(0.195045 + 0.225094i) q^{34} +(0.449393 - 0.806479i) q^{35} +(-0.959493 - 0.281733i) q^{36} +(0.563033 + 1.50955i) q^{37} +(-0.483978 - 2.22481i) q^{38} +(-0.456755 - 1.55556i) q^{39} +(-2.18896 + 0.456553i) q^{40} +(0.810149 + 1.77398i) q^{41} +(0.330530 + 0.247432i) q^{42} +(-2.53575 - 0.551618i) q^{43} +(1.85905 - 2.14545i) q^{44} +(-2.02596 - 0.946307i) q^{45} +(0.931086 + 4.70458i) q^{46} +(-8.55701 - 8.55701i) q^{47} +(-0.0713392 - 0.997452i) q^{48} +(3.69232 + 5.74536i) q^{49} +(-4.99265 + 0.271098i) q^{50} +(-0.270927 + 0.123728i) q^{51} +(1.29787 - 0.971570i) q^{52} +(-0.215564 - 0.117707i) q^{53} +(0.540641 - 0.841254i) q^{54} +(4.83285 - 4.11565i) q^{55} +(-0.116323 + 0.396158i) q^{56} +(2.27104 + 0.162428i) q^{57} +(2.53340 + 0.181192i) q^{58} +(2.89074 - 9.84494i) q^{59} +(0.178643 - 2.22892i) q^{60} +(2.71054 - 4.21768i) q^{61} +(-5.27098 - 2.87817i) q^{62} +(-0.330530 + 0.247432i) q^{63} +(0.909632 - 0.415415i) q^{64} +(3.19654 - 1.71002i) q^{65} +(1.53479 + 2.38818i) q^{66} +(-0.678110 - 9.48121i) q^{67} +(-0.210606 - 0.210606i) q^{68} +(-4.77633 - 0.432063i) q^{69} +(-0.390714 + 0.836483i) q^{70} +(0.0645553 - 0.0745008i) q^{71} +(0.977147 + 0.212565i) q^{72} +(2.73613 + 2.04824i) q^{73} +(-0.669289 - 1.46554i) q^{74} +(1.14647 - 4.86679i) q^{75} +(0.641461 + 2.18462i) q^{76} +(-0.249150 - 1.14532i) q^{77} +(0.566564 + 1.51902i) q^{78} +(8.99504 + 2.64118i) q^{79} +(2.15082 - 0.611549i) q^{80} +(0.654861 + 0.755750i) q^{81} +(-0.934638 - 1.71166i) q^{82} +(11.4503 - 4.27074i) q^{83} +(-0.347339 - 0.223221i) q^{84} +(-0.394529 - 0.536561i) q^{85} +(2.56864 + 0.369314i) q^{86} +(-0.887595 + 2.37973i) q^{87} +(-1.70125 + 2.27261i) q^{88} +(-2.18067 + 1.40143i) q^{89} +(2.08830 + 0.799366i) q^{90} -0.669381i q^{91} +(-1.26433 - 4.62617i) q^{92} +(4.24659 - 4.24659i) q^{93} +(9.14566 + 7.92476i) q^{94} +(0.681303 + 5.04539i) q^{95} +(0.142315 + 0.989821i) q^{96} +(-8.48000 - 3.16288i) q^{97} +(-4.09278 - 5.46732i) q^{98} +(-2.72385 + 0.799794i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{6} + O(q^{10}) \) \( 240q - 24q^{6} + 44q^{10} - 16q^{13} + 24q^{16} + 44q^{21} + 72q^{23} + 16q^{25} + 44q^{28} - 16q^{31} - 44q^{33} - 24q^{36} + 44q^{37} + 88q^{43} - 8q^{46} + 48q^{47} + 8q^{50} - 16q^{52} + 56q^{55} + 44q^{57} + 16q^{58} + 88q^{61} + 8q^{62} + 88q^{65} - 132q^{67} + 56q^{70} - 64q^{71} + 16q^{73} - 32q^{75} - 16q^{77} - 16q^{78} + 24q^{81} - 24q^{82} + 92q^{85} - 16q^{87} - 44q^{88} + 116q^{92} - 80q^{93} + 20q^{95} + 24q^{96} - 88q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{19}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.997452 + 0.0713392i −0.705305 + 0.0504444i
\(3\) 0.212565 0.977147i 0.122725 0.564156i
\(4\) 0.989821 0.142315i 0.494911 0.0711574i
\(5\) 2.23599 + 0.0191781i 0.999963 + 0.00857669i
\(6\) −0.142315 + 0.989821i −0.0580998 + 0.404093i
\(7\) 0.197874 0.362379i 0.0747893 0.136966i −0.837608 0.546271i \(-0.816047\pi\)
0.912398 + 0.409305i \(0.134229\pi\)
\(8\) −0.977147 + 0.212565i −0.345474 + 0.0751532i
\(9\) −0.909632 0.415415i −0.303211 0.138472i
\(10\) −2.23166 + 0.140384i −0.705712 + 0.0443934i
\(11\) 2.14545 1.85905i 0.646878 0.560523i −0.268419 0.963302i \(-0.586501\pi\)
0.915297 + 0.402779i \(0.131956\pi\)
\(12\) 0.0713392 0.997452i 0.0205938 0.287940i
\(13\) 1.42292 0.776975i 0.394648 0.215494i −0.269656 0.962957i \(-0.586910\pi\)
0.664304 + 0.747463i \(0.268728\pi\)
\(14\) −0.171518 + 0.375572i −0.0458401 + 0.100376i
\(15\) 0.494033 2.18081i 0.127559 0.563083i
\(16\) 0.959493 0.281733i 0.239873 0.0704331i
\(17\) −0.178490 0.238435i −0.0432903 0.0578290i 0.778374 0.627801i \(-0.216045\pi\)
−0.821664 + 0.569972i \(0.806954\pi\)
\(18\) 0.936950 + 0.349464i 0.220841 + 0.0823695i
\(19\) 0.324029 + 2.25367i 0.0743373 + 0.517027i 0.992636 + 0.121138i \(0.0386544\pi\)
−0.918298 + 0.395889i \(0.870437\pi\)
\(20\) 2.21596 0.299231i 0.495503 0.0669101i
\(21\) −0.312036 0.270381i −0.0680919 0.0590020i
\(22\) −2.00736 + 2.00736i −0.427971 + 0.427971i
\(23\) −0.593093 4.75902i −0.123668 0.992324i
\(24\) 1.00000i 0.204124i
\(25\) 4.99926 + 0.0857637i 0.999853 + 0.0171527i
\(26\) −1.36387 + 0.876506i −0.267477 + 0.171897i
\(27\) −0.599278 + 0.800541i −0.115331 + 0.154064i
\(28\) 0.144288 0.386851i 0.0272678 0.0731079i
\(29\) −2.51402 0.361462i −0.466842 0.0671217i −0.0951199 0.995466i \(-0.530323\pi\)
−0.371722 + 0.928344i \(0.621233\pi\)
\(30\) −0.337197 + 2.21050i −0.0615634 + 0.403580i
\(31\) 5.05222 + 3.24687i 0.907406 + 0.583154i 0.908978 0.416844i \(-0.136864\pi\)
−0.00157191 + 0.999999i \(0.500500\pi\)
\(32\) −0.936950 + 0.349464i −0.165631 + 0.0617771i
\(33\) −1.36051 2.49159i −0.236835 0.433730i
\(34\) 0.195045 + 0.225094i 0.0334500 + 0.0386034i
\(35\) 0.449393 0.806479i 0.0759612 0.136320i
\(36\) −0.959493 0.281733i −0.159915 0.0469554i
\(37\) 0.563033 + 1.50955i 0.0925621 + 0.248169i 0.974978 0.222302i \(-0.0713570\pi\)
−0.882416 + 0.470470i \(0.844084\pi\)
\(38\) −0.483978 2.22481i −0.0785116 0.360912i
\(39\) −0.456755 1.55556i −0.0731393 0.249090i
\(40\) −2.18896 + 0.456553i −0.346105 + 0.0721874i
\(41\) 0.810149 + 1.77398i 0.126524 + 0.277049i 0.962284 0.272045i \(-0.0877001\pi\)
−0.835760 + 0.549094i \(0.814973\pi\)
\(42\) 0.330530 + 0.247432i 0.0510019 + 0.0381795i
\(43\) −2.53575 0.551618i −0.386698 0.0841210i 0.0150136 0.999887i \(-0.495221\pi\)
−0.401711 + 0.915766i \(0.631584\pi\)
\(44\) 1.85905 2.14545i 0.280262 0.323439i
\(45\) −2.02596 0.946307i −0.302012 0.141067i
\(46\) 0.931086 + 4.70458i 0.137281 + 0.693653i
\(47\) −8.55701 8.55701i −1.24817 1.24817i −0.956528 0.291640i \(-0.905799\pi\)
−0.291640 0.956528i \(-0.594201\pi\)
\(48\) −0.0713392 0.997452i −0.0102969 0.143970i
\(49\) 3.69232 + 5.74536i 0.527474 + 0.820766i
\(50\) −4.99265 + 0.271098i −0.706067 + 0.0383391i
\(51\) −0.270927 + 0.123728i −0.0379374 + 0.0173254i
\(52\) 1.29787 0.971570i 0.179982 0.134733i
\(53\) −0.215564 0.117707i −0.0296100 0.0161683i 0.464376 0.885638i \(-0.346279\pi\)
−0.493986 + 0.869470i \(0.664461\pi\)
\(54\) 0.540641 0.841254i 0.0735719 0.114480i
\(55\) 4.83285 4.11565i 0.651662 0.554954i
\(56\) −0.116323 + 0.396158i −0.0155443 + 0.0529389i
\(57\) 2.27104 + 0.162428i 0.300807 + 0.0215141i
\(58\) 2.53340 + 0.181192i 0.332652 + 0.0237917i
\(59\) 2.89074 9.84494i 0.376342 1.28170i −0.525928 0.850529i \(-0.676282\pi\)
0.902269 0.431173i \(-0.141900\pi\)
\(60\) 0.178643 2.22892i 0.0230627 0.287752i
\(61\) 2.71054 4.21768i 0.347049 0.540019i −0.623220 0.782046i \(-0.714176\pi\)
0.970269 + 0.242027i \(0.0778124\pi\)
\(62\) −5.27098 2.87817i −0.669415 0.365528i
\(63\) −0.330530 + 0.247432i −0.0416429 + 0.0311735i
\(64\) 0.909632 0.415415i 0.113704 0.0519269i
\(65\) 3.19654 1.71002i 0.396482 0.212102i
\(66\) 1.53479 + 2.38818i 0.188920 + 0.293965i
\(67\) −0.678110 9.48121i −0.0828443 1.15831i −0.853511 0.521076i \(-0.825531\pi\)
0.770666 0.637239i \(-0.219924\pi\)
\(68\) −0.210606 0.210606i −0.0255398 0.0255398i
\(69\) −4.77633 0.432063i −0.575002 0.0520143i
\(70\) −0.390714 + 0.836483i −0.0466993 + 0.0999789i
\(71\) 0.0645553 0.0745008i 0.00766131 0.00884162i −0.751906 0.659270i \(-0.770865\pi\)
0.759567 + 0.650429i \(0.225411\pi\)
\(72\) 0.977147 + 0.212565i 0.115158 + 0.0250511i
\(73\) 2.73613 + 2.04824i 0.320239 + 0.239728i 0.747288 0.664501i \(-0.231356\pi\)
−0.427048 + 0.904229i \(0.640447\pi\)
\(74\) −0.669289 1.46554i −0.0778033 0.170365i
\(75\) 1.14647 4.86679i 0.132383 0.561968i
\(76\) 0.641461 + 2.18462i 0.0735806 + 0.250593i
\(77\) −0.249150 1.14532i −0.0283932 0.130522i
\(78\) 0.566564 + 1.51902i 0.0641507 + 0.171995i
\(79\) 8.99504 + 2.64118i 1.01202 + 0.297156i 0.745380 0.666640i \(-0.232268\pi\)
0.266641 + 0.963796i \(0.414086\pi\)
\(80\) 2.15082 0.611549i 0.240469 0.0683732i
\(81\) 0.654861 + 0.755750i 0.0727623 + 0.0839722i
\(82\) −0.934638 1.71166i −0.103214 0.189022i
\(83\) 11.4503 4.27074i 1.25683 0.468775i 0.369211 0.929346i \(-0.379628\pi\)
0.887623 + 0.460571i \(0.152355\pi\)
\(84\) −0.347339 0.223221i −0.0378978 0.0243555i
\(85\) −0.394529 0.536561i −0.0427927 0.0581982i
\(86\) 2.56864 + 0.369314i 0.276983 + 0.0398242i
\(87\) −0.887595 + 2.37973i −0.0951601 + 0.255134i
\(88\) −1.70125 + 2.27261i −0.181354 + 0.242261i
\(89\) −2.18067 + 1.40143i −0.231151 + 0.148552i −0.651090 0.759001i \(-0.725688\pi\)
0.419939 + 0.907552i \(0.362051\pi\)
\(90\) 2.08830 + 0.799366i 0.220127 + 0.0842606i
\(91\) 0.669381i 0.0701702i
\(92\) −1.26433 4.62617i −0.131816 0.482312i
\(93\) 4.24659 4.24659i 0.440351 0.440351i
\(94\) 9.14566 + 7.92476i 0.943303 + 0.817376i
\(95\) 0.681303 + 5.04539i 0.0699002 + 0.517646i
\(96\) 0.142315 + 0.989821i 0.0145249 + 0.101023i
\(97\) −8.48000 3.16288i −0.861013 0.321141i −0.120116 0.992760i \(-0.538327\pi\)
−0.740897 + 0.671619i \(0.765599\pi\)
\(98\) −4.09278 5.46732i −0.413434 0.552283i
\(99\) −2.72385 + 0.799794i −0.273757 + 0.0803823i
\(100\) 4.96058 0.626579i 0.496058 0.0626579i
\(101\) 0.00234615 0.00513735i 0.000233451 0.000511186i −0.909515 0.415671i \(-0.863547\pi\)
0.909749 + 0.415159i \(0.136274\pi\)
\(102\) 0.261410 0.142741i 0.0258835 0.0141334i
\(103\) −0.723934 + 10.1219i −0.0713313 + 0.997342i 0.828185 + 0.560455i \(0.189374\pi\)
−0.899516 + 0.436887i \(0.856081\pi\)
\(104\) −1.22525 + 1.06168i −0.120145 + 0.104107i
\(105\) −0.692523 0.610552i −0.0675833 0.0595838i
\(106\) 0.223412 + 0.102029i 0.0216997 + 0.00990990i
\(107\) −5.50331 + 1.19717i −0.532025 + 0.115735i −0.470549 0.882374i \(-0.655944\pi\)
−0.0614754 + 0.998109i \(0.519581\pi\)
\(108\) −0.479249 + 0.877679i −0.0461158 + 0.0844547i
\(109\) −2.57596 + 17.9162i −0.246732 + 1.71606i 0.370121 + 0.928984i \(0.379316\pi\)
−0.616853 + 0.787078i \(0.711593\pi\)
\(110\) −4.52693 + 4.44994i −0.431626 + 0.424285i
\(111\) 1.59473 0.229288i 0.151365 0.0217631i
\(112\) 0.0877646 0.403447i 0.00829298 0.0381222i
\(113\) −6.78091 + 0.484980i −0.637894 + 0.0456231i −0.386541 0.922272i \(-0.626330\pi\)
−0.251353 + 0.967895i \(0.580876\pi\)
\(114\) −2.27684 −0.213246
\(115\) −1.23488 10.6525i −0.115153 0.993348i
\(116\) −2.53987 −0.235821
\(117\) −1.61710 + 0.115658i −0.149501 + 0.0106926i
\(118\) −2.18104 + 10.0261i −0.200781 + 0.922976i
\(119\) −0.121722 + 0.0175010i −0.0111583 + 0.00160432i
\(120\) −0.0191781 + 2.23599i −0.00175071 + 0.204117i
\(121\) −0.418546 + 2.91105i −0.0380496 + 0.264641i
\(122\) −2.40275 + 4.40030i −0.217535 + 0.398385i
\(123\) 1.90565 0.414548i 0.171826 0.0373785i
\(124\) 5.46288 + 2.49481i 0.490581 + 0.224041i
\(125\) 11.1766 + 0.287643i 0.999669 + 0.0257275i
\(126\) 0.312036 0.270381i 0.0277984 0.0240874i
\(127\) 0.274295 3.83515i 0.0243398 0.340314i −0.970661 0.240451i \(-0.922705\pi\)
0.995001 0.0998638i \(-0.0318407\pi\)
\(128\) −0.877679 + 0.479249i −0.0775766 + 0.0423600i
\(129\) −1.07802 + 2.36054i −0.0949147 + 0.207834i
\(130\) −3.06640 + 1.93370i −0.268941 + 0.169597i
\(131\) −13.7618 + 4.04084i −1.20238 + 0.353050i −0.820761 0.571272i \(-0.806450\pi\)
−0.381615 + 0.924321i \(0.624632\pi\)
\(132\) −1.70125 2.27261i −0.148075 0.197805i
\(133\) 0.880799 + 0.328521i 0.0763749 + 0.0284864i
\(134\) 1.35276 + 9.40868i 0.116861 + 0.812786i
\(135\) −1.35533 + 1.77851i −0.116648 + 0.153069i
\(136\) 0.225094 + 0.195045i 0.0193017 + 0.0167250i
\(137\) −14.5329 + 14.5329i −1.24163 + 1.24163i −0.282304 + 0.959325i \(0.591099\pi\)
−0.959325 + 0.282304i \(0.908901\pi\)
\(138\) 4.79498 + 0.0902227i 0.408176 + 0.00768027i
\(139\) 5.15359i 0.437122i 0.975823 + 0.218561i \(0.0701362\pi\)
−0.975823 + 0.218561i \(0.929864\pi\)
\(140\) 0.330045 0.862225i 0.0278939 0.0728714i
\(141\) −10.1804 + 6.54253i −0.857343 + 0.550981i
\(142\) −0.0590760 + 0.0789163i −0.00495755 + 0.00662251i
\(143\) 1.60838 4.31224i 0.134500 0.360608i
\(144\) −0.989821 0.142315i −0.0824851 0.0118596i
\(145\) −5.61438 0.856437i −0.466249 0.0711232i
\(146\) −2.87527 1.84783i −0.237959 0.152927i
\(147\) 6.39892 2.38668i 0.527774 0.196850i
\(148\) 0.772134 + 1.41406i 0.0634690 + 0.116235i
\(149\) 13.3672 + 15.4266i 1.09508 + 1.26379i 0.962106 + 0.272675i \(0.0879083\pi\)
0.132977 + 0.991119i \(0.457546\pi\)
\(150\) −0.796360 + 4.93617i −0.0650225 + 0.403037i
\(151\) −15.9223 4.67522i −1.29574 0.380464i −0.440061 0.897968i \(-0.645043\pi\)
−0.855681 + 0.517504i \(0.826861\pi\)
\(152\) −0.795675 2.13329i −0.0645378 0.173033i
\(153\) 0.0633110 + 0.291036i 0.00511839 + 0.0235289i
\(154\) 0.330221 + 1.12463i 0.0266100 + 0.0906253i
\(155\) 11.2344 + 7.35684i 0.902371 + 0.590915i
\(156\) −0.673486 1.47473i −0.0539220 0.118073i
\(157\) 8.74818 + 6.54881i 0.698181 + 0.522652i 0.888389 0.459092i \(-0.151825\pi\)
−0.190208 + 0.981744i \(0.560916\pi\)
\(158\) −9.16054 1.99275i −0.728773 0.158535i
\(159\) −0.160838 + 0.185617i −0.0127553 + 0.0147204i
\(160\) −2.10171 + 0.763428i −0.166155 + 0.0603543i
\(161\) −1.84192 0.726760i −0.145164 0.0572767i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) −0.433914 6.06691i −0.0339868 0.475197i −0.985734 0.168313i \(-0.946168\pi\)
0.951747 0.306884i \(-0.0992865\pi\)
\(164\) 1.05437 + 1.64063i 0.0823321 + 0.128111i
\(165\) −2.99430 5.59725i −0.233106 0.435746i
\(166\) −11.1165 + 5.07671i −0.862804 + 0.394029i
\(167\) −3.11016 + 2.32824i −0.240672 + 0.180165i −0.712804 0.701363i \(-0.752575\pi\)
0.472133 + 0.881528i \(0.343484\pi\)
\(168\) 0.362379 + 0.197874i 0.0279581 + 0.0152663i
\(169\) −5.60731 + 8.72514i −0.431331 + 0.671165i
\(170\) 0.431802 + 0.507048i 0.0331177 + 0.0388888i
\(171\) 0.641461 2.18462i 0.0490538 0.167062i
\(172\) −2.58844 0.185129i −0.197367 0.0141159i
\(173\) 3.02939 + 0.216666i 0.230320 + 0.0164728i 0.186022 0.982546i \(-0.440440\pi\)
0.0442981 + 0.999018i \(0.485895\pi\)
\(174\) 0.715565 2.43699i 0.0542468 0.184748i
\(175\) 1.02030 1.79466i 0.0771276 0.135663i
\(176\) 1.53479 2.38818i 0.115689 0.180016i
\(177\) −9.00548 4.91737i −0.676894 0.369612i
\(178\) 2.07514 1.55343i 0.155538 0.116434i
\(179\) 0.378685 0.172940i 0.0283042 0.0129261i −0.401213 0.915985i \(-0.631411\pi\)
0.429517 + 0.903059i \(0.358684\pi\)
\(180\) −2.14001 0.648351i −0.159507 0.0483252i
\(181\) −6.52017 10.1456i −0.484641 0.754115i 0.509700 0.860352i \(-0.329756\pi\)
−0.994341 + 0.106237i \(0.966120\pi\)
\(182\) 0.0477531 + 0.667675i 0.00353969 + 0.0494914i
\(183\) −3.54513 3.54513i −0.262063 0.262063i
\(184\) 1.59114 + 4.52419i 0.117300 + 0.333528i
\(185\) 1.22998 + 3.38613i 0.0904303 + 0.248953i
\(186\) −3.93282 + 4.53872i −0.288369 + 0.332795i
\(187\) −0.826204 0.179730i −0.0604180 0.0131431i
\(188\) −9.68770 7.25212i −0.706548 0.528915i
\(189\) 0.171518 + 0.375572i 0.0124761 + 0.0273188i
\(190\) −1.03950 4.98393i −0.0754133 0.361572i
\(191\) 1.64228 + 5.59309i 0.118831 + 0.404702i 0.997329 0.0730451i \(-0.0232717\pi\)
−0.878497 + 0.477747i \(0.841454\pi\)
\(192\) −0.212565 0.977147i −0.0153406 0.0705195i
\(193\) 5.99381 + 16.0700i 0.431444 + 1.15675i 0.952851 + 0.303438i \(0.0981345\pi\)
−0.521407 + 0.853308i \(0.674593\pi\)
\(194\) 8.68403 + 2.54986i 0.623477 + 0.183069i
\(195\) −0.991465 3.48698i −0.0710003 0.249708i
\(196\) 4.47239 + 5.16141i 0.319456 + 0.368672i
\(197\) −1.67733 3.07181i −0.119505 0.218857i 0.811078 0.584938i \(-0.198881\pi\)
−0.930583 + 0.366081i \(0.880699\pi\)
\(198\) 2.65985 0.992073i 0.189027 0.0705036i
\(199\) −6.46522 4.15494i −0.458307 0.294536i 0.291043 0.956710i \(-0.405998\pi\)
−0.749350 + 0.662174i \(0.769634\pi\)
\(200\) −4.90325 + 0.978866i −0.346712 + 0.0692163i
\(201\) −9.40868 1.35276i −0.663637 0.0954166i
\(202\) −0.00197368 + 0.00529164i −0.000138868 + 0.000372318i
\(203\) −0.628445 + 0.839504i −0.0441082 + 0.0589216i
\(204\) −0.250561 + 0.161026i −0.0175428 + 0.0112741i
\(205\) 1.77746 + 3.98213i 0.124143 + 0.278124i
\(206\) 10.1478i 0.707029i
\(207\) −1.43747 + 4.57533i −0.0999111 + 0.318008i
\(208\) 1.14639 1.14639i 0.0794876 0.0794876i
\(209\) 4.88486 + 4.23276i 0.337893 + 0.292786i
\(210\) 0.734315 + 0.559592i 0.0506725 + 0.0386155i
\(211\) 2.39699 + 16.6714i 0.165016 + 1.14771i 0.889005 + 0.457897i \(0.151397\pi\)
−0.723990 + 0.689811i \(0.757694\pi\)
\(212\) −0.230121 0.0858307i −0.0158048 0.00589488i
\(213\) −0.0590760 0.0789163i −0.00404782 0.00540726i
\(214\) 5.40388 1.58672i 0.369402 0.108466i
\(215\) −5.65932 1.28204i −0.385962 0.0874345i
\(216\) 0.415415 0.909632i 0.0282654 0.0618926i
\(217\) 2.17630 1.18835i 0.147737 0.0806704i
\(218\) 1.29127 18.0543i 0.0874559 1.22279i
\(219\) 2.58304 2.23821i 0.174545 0.151244i
\(220\) 4.19794 4.76155i 0.283025 0.321023i
\(221\) −0.439237 0.200593i −0.0295462 0.0134933i
\(222\) −1.57431 + 0.342471i −0.105661 + 0.0229852i
\(223\) −2.23405 + 4.09136i −0.149603 + 0.273978i −0.941724 0.336387i \(-0.890795\pi\)
0.792121 + 0.610364i \(0.208977\pi\)
\(224\) −0.0587594 + 0.408681i −0.00392603 + 0.0273061i
\(225\) −4.51186 2.15478i −0.300791 0.143652i
\(226\) 6.72903 0.967489i 0.447609 0.0643564i
\(227\) −4.56410 + 20.9808i −0.302930 + 1.39255i 0.534115 + 0.845412i \(0.320645\pi\)
−0.837045 + 0.547135i \(0.815719\pi\)
\(228\) 2.27104 0.162428i 0.150403 0.0107571i
\(229\) −9.64469 −0.637339 −0.318670 0.947866i \(-0.603236\pi\)
−0.318670 + 0.947866i \(0.603236\pi\)
\(230\) 1.99167 + 10.5372i 0.131327 + 0.694804i
\(231\) −1.17211 −0.0771191
\(232\) 2.53340 0.181192i 0.166326 0.0118959i
\(233\) −0.112867 + 0.518841i −0.00739416 + 0.0339904i −0.980696 0.195538i \(-0.937355\pi\)
0.973302 + 0.229528i \(0.0737184\pi\)
\(234\) 1.60473 0.230726i 0.104905 0.0150830i
\(235\) −18.9692 19.2975i −1.23742 1.25883i
\(236\) 1.46023 10.1561i 0.0950529 0.661108i
\(237\) 4.49285 8.22805i 0.291842 0.534469i
\(238\) 0.120164 0.0261400i 0.00778906 0.00169441i
\(239\) 17.1202 + 7.81855i 1.10742 + 0.505740i 0.883293 0.468821i \(-0.155321\pi\)
0.224123 + 0.974561i \(0.428048\pi\)
\(240\) −0.140384 2.23166i −0.00906176 0.144053i
\(241\) −7.43182 + 6.43971i −0.478726 + 0.414818i −0.860510 0.509433i \(-0.829855\pi\)
0.381785 + 0.924251i \(0.375310\pi\)
\(242\) 0.209808 2.93349i 0.0134869 0.188572i
\(243\) 0.877679 0.479249i 0.0563031 0.0307438i
\(244\) 2.08271 4.56050i 0.133332 0.291956i
\(245\) 8.14579 + 12.9174i 0.520416 + 0.825260i
\(246\) −1.87122 + 0.549439i −0.119304 + 0.0350310i
\(247\) 2.21211 + 2.95504i 0.140753 + 0.188025i
\(248\) −5.62693 2.09874i −0.357311 0.133270i
\(249\) −1.73920 12.0964i −0.110218 0.766580i
\(250\) −11.1687 + 0.510423i −0.706370 + 0.0322820i
\(251\) −2.64381 2.29087i −0.166876 0.144599i 0.567420 0.823429i \(-0.307942\pi\)
−0.734295 + 0.678830i \(0.762487\pi\)
\(252\) −0.291952 + 0.291952i −0.0183913 + 0.0183913i
\(253\) −10.1197 9.10766i −0.636219 0.572594i
\(254\) 3.84495i 0.241253i
\(255\) −0.608162 + 0.271459i −0.0380846 + 0.0169994i
\(256\) 0.841254 0.540641i 0.0525783 0.0337901i
\(257\) 1.64385 2.19593i 0.102541 0.136978i −0.746336 0.665570i \(-0.768189\pi\)
0.848876 + 0.528591i \(0.177280\pi\)
\(258\) 0.906878 2.43143i 0.0564597 0.151374i
\(259\) 0.658439 + 0.0946692i 0.0409134 + 0.00588246i
\(260\) 2.92064 2.14753i 0.181131 0.133184i
\(261\) 2.13668 + 1.37316i 0.132257 + 0.0849964i
\(262\) 13.4385 5.01230i 0.830233 0.309661i
\(263\) 9.12595 + 16.7129i 0.562730 + 1.03056i 0.991862 + 0.127321i \(0.0406379\pi\)
−0.429131 + 0.903242i \(0.641180\pi\)
\(264\) 1.85905 + 2.14545i 0.114416 + 0.132043i
\(265\) −0.479740 0.267325i −0.0294702 0.0164216i
\(266\) −0.901991 0.264848i −0.0553046 0.0162389i
\(267\) 0.905870 + 2.42873i 0.0554384 + 0.148636i
\(268\) −2.02052 9.28820i −0.123423 0.567367i
\(269\) 4.32232 + 14.7205i 0.263537 + 0.897523i 0.979848 + 0.199743i \(0.0640107\pi\)
−0.716312 + 0.697780i \(0.754171\pi\)
\(270\) 1.22500 1.87066i 0.0745511 0.113845i
\(271\) −3.33464 7.30184i −0.202565 0.443555i 0.780899 0.624657i \(-0.214761\pi\)
−0.983464 + 0.181101i \(0.942034\pi\)
\(272\) −0.238435 0.178490i −0.0144573 0.0108226i
\(273\) −0.654083 0.142287i −0.0395869 0.00861161i
\(274\) 13.4591 15.5326i 0.813094 0.938361i
\(275\) 10.8851 9.10986i 0.656398 0.549345i
\(276\) −4.78920 + 0.252077i −0.288276 + 0.0151733i
\(277\) −9.50184 9.50184i −0.570910 0.570910i 0.361473 0.932383i \(-0.382274\pi\)
−0.932383 + 0.361473i \(0.882274\pi\)
\(278\) −0.367653 5.14046i −0.0220504 0.308304i
\(279\) −3.24687 5.05222i −0.194385 0.302469i
\(280\) −0.267693 + 0.883574i −0.0159977 + 0.0528036i
\(281\) 2.69353 1.23010i 0.160683 0.0733813i −0.333450 0.942768i \(-0.608213\pi\)
0.494133 + 0.869386i \(0.335486\pi\)
\(282\) 9.68770 7.25212i 0.576894 0.431858i
\(283\) 22.2311 + 12.1391i 1.32150 + 0.721595i 0.976195 0.216895i \(-0.0695930\pi\)
0.345307 + 0.938490i \(0.387775\pi\)
\(284\) 0.0532957 0.0829297i 0.00316252 0.00492097i
\(285\) 5.07490 + 0.406741i 0.300611 + 0.0240933i
\(286\) −1.29665 + 4.41600i −0.0766728 + 0.261123i
\(287\) 0.803159 + 0.0574431i 0.0474090 + 0.00339076i
\(288\) 0.997452 + 0.0713392i 0.0587754 + 0.00420370i
\(289\) 4.76446 16.2263i 0.280262 0.954486i
\(290\) 5.66117 + 0.453729i 0.332436 + 0.0266439i
\(291\) −4.89315 + 7.61389i −0.286841 + 0.446334i
\(292\) 2.99977 + 1.63800i 0.175548 + 0.0958566i
\(293\) 3.16739 2.37108i 0.185041 0.138520i −0.502742 0.864437i \(-0.667675\pi\)
0.687782 + 0.725917i \(0.258584\pi\)
\(294\) −6.21236 + 2.83709i −0.362312 + 0.165462i
\(295\) 6.65245 21.9577i 0.387321 1.27843i
\(296\) −0.871044 1.35537i −0.0506284 0.0787794i
\(297\) 0.202521 + 2.83161i 0.0117514 + 0.164307i
\(298\) −14.4337 14.4337i −0.836119 0.836119i
\(299\) −4.54157 6.31090i −0.262646 0.364969i
\(300\) 0.442189 4.98041i 0.0255298 0.287544i
\(301\) −0.701653 + 0.809750i −0.0404426 + 0.0466732i
\(302\) 16.2153 + 3.52742i 0.933086 + 0.202980i
\(303\) −0.00452124 0.00338456i −0.000259738 0.000194438i
\(304\) 0.945835 + 2.07109i 0.0542474 + 0.118785i
\(305\) 6.14161 9.37869i 0.351668 0.537022i
\(306\) −0.0839119 0.285778i −0.00479692 0.0163368i
\(307\) 2.66134 + 12.2340i 0.151891 + 0.698231i 0.988598 + 0.150580i \(0.0481141\pi\)
−0.836707 + 0.547651i \(0.815522\pi\)
\(308\) −0.409610 1.09821i −0.0233397 0.0625762i
\(309\) 9.73672 + 2.85896i 0.553903 + 0.162640i
\(310\) −11.7306 6.53664i −0.666255 0.371256i
\(311\) 7.82401 + 9.02938i 0.443659 + 0.512009i 0.932898 0.360140i \(-0.117271\pi\)
−0.489240 + 0.872149i \(0.662726\pi\)
\(312\) 0.776975 + 1.42292i 0.0439876 + 0.0805572i
\(313\) 10.4092 3.88241i 0.588360 0.219447i −0.0376121 0.999292i \(-0.511975\pi\)
0.625972 + 0.779845i \(0.284702\pi\)
\(314\) −9.19308 5.90804i −0.518796 0.333410i
\(315\) −0.743805 + 0.546915i −0.0419087 + 0.0308151i
\(316\) 9.27936 + 1.33417i 0.522005 + 0.0750530i
\(317\) −10.8693 + 29.1418i −0.610482 + 1.63677i 0.150964 + 0.988539i \(0.451762\pi\)
−0.761447 + 0.648228i \(0.775511\pi\)
\(318\) 0.147187 0.196618i 0.00825381 0.0110258i
\(319\) −6.06568 + 3.89818i −0.339613 + 0.218256i
\(320\) 2.04189 0.911417i 0.114145 0.0509498i
\(321\) 5.63202i 0.314348i
\(322\) 1.88908 + 0.593507i 0.105274 + 0.0330749i
\(323\) 0.479518 0.479518i 0.0266811 0.0266811i
\(324\) 0.755750 + 0.654861i 0.0419861 + 0.0363812i
\(325\) 7.18021 3.76227i 0.398286 0.208693i
\(326\) 0.865617 + 6.02050i 0.0479421 + 0.333445i
\(327\) 16.9592 + 6.32546i 0.937846 + 0.349799i
\(328\) −1.16872 1.56123i −0.0645318 0.0862044i
\(329\) −4.79409 + 1.40767i −0.264307 + 0.0776074i
\(330\) 3.38597 + 5.36938i 0.186392 + 0.295575i
\(331\) 11.1286 24.3683i 0.611685 1.33940i −0.309730 0.950824i \(-0.600239\pi\)
0.921415 0.388579i \(-0.127034\pi\)
\(332\) 10.7260 5.85682i 0.588664 0.321435i
\(333\) 0.114937 1.60703i 0.00629851 0.0880646i
\(334\) 2.93615 2.54418i 0.160659 0.139212i
\(335\) −1.33441 21.2129i −0.0729067 1.15898i
\(336\) −0.375572 0.171518i −0.0204891 0.00935706i
\(337\) −12.9363 + 2.81413i −0.704687 + 0.153295i −0.550609 0.834763i \(-0.685604\pi\)
−0.154078 + 0.988059i \(0.549241\pi\)
\(338\) 4.97058 9.10293i 0.270364 0.495134i
\(339\) −0.967489 + 6.72903i −0.0525468 + 0.365471i
\(340\) −0.466874 0.474952i −0.0253198 0.0257579i
\(341\) 16.8754 2.42631i 0.913853 0.131392i
\(342\) −0.483978 + 2.22481i −0.0261705 + 0.120304i
\(343\) 5.69543 0.407345i 0.307524 0.0219946i
\(344\) 2.59505 0.139916
\(345\) −10.6715 1.05769i −0.574535 0.0569440i
\(346\) −3.03713 −0.163277
\(347\) −29.2590 + 2.09264i −1.57070 + 0.112339i −0.829332 0.558756i \(-0.811279\pi\)
−0.741371 + 0.671095i \(0.765824\pi\)
\(348\) −0.539889 + 2.48183i −0.0289411 + 0.133040i
\(349\) −11.1507 + 1.60323i −0.596885 + 0.0858191i −0.434134 0.900848i \(-0.642946\pi\)
−0.162750 + 0.986667i \(0.552037\pi\)
\(350\) −0.889673 + 1.86287i −0.0475550 + 0.0995747i
\(351\) −0.230726 + 1.60473i −0.0123152 + 0.0856543i
\(352\) −1.36051 + 2.49159i −0.0725155 + 0.132802i
\(353\) −2.97630 + 0.647454i −0.158412 + 0.0344605i −0.291072 0.956701i \(-0.594012\pi\)
0.132660 + 0.991162i \(0.457648\pi\)
\(354\) 9.33334 + 4.26239i 0.496061 + 0.226544i
\(355\) 0.145774 0.165345i 0.00773686 0.00877559i
\(356\) −1.95903 + 1.69751i −0.103828 + 0.0899679i
\(357\) −0.00877287 + 0.122661i −0.000464310 + 0.00649190i
\(358\) −0.365383 + 0.199514i −0.0193111 + 0.0105446i
\(359\) 12.5296 27.4360i 0.661287 1.44802i −0.220031 0.975493i \(-0.570616\pi\)
0.881318 0.472524i \(-0.156657\pi\)
\(360\) 2.18081 + 0.494033i 0.114939 + 0.0260378i
\(361\) 13.2563 3.89241i 0.697702 0.204864i
\(362\) 7.22734 + 9.65459i 0.379860 + 0.507434i
\(363\) 2.75556 + 1.02777i 0.144629 + 0.0539439i
\(364\) −0.0952628 0.662567i −0.00499313 0.0347280i
\(365\) 6.07866 + 4.63231i 0.318172 + 0.242466i
\(366\) 3.78900 + 3.28319i 0.198054 + 0.171615i
\(367\) −4.54422 + 4.54422i −0.237207 + 0.237207i −0.815692 0.578486i \(-0.803644\pi\)
0.578486 + 0.815692i \(0.303644\pi\)
\(368\) −1.90984 4.39915i −0.0995572 0.229322i
\(369\) 1.95021i 0.101524i
\(370\) −1.46841 3.28976i −0.0763392 0.171026i
\(371\) −0.0853089 + 0.0548247i −0.00442902 + 0.00284636i
\(372\) 3.59902 4.80772i 0.186600 0.249269i
\(373\) 0.915207 2.45376i 0.0473876 0.127051i −0.911100 0.412186i \(-0.864766\pi\)
0.958488 + 0.285134i \(0.0920383\pi\)
\(374\) 0.836921 + 0.120331i 0.0432762 + 0.00622217i
\(375\) 2.65683 10.8601i 0.137198 0.560812i
\(376\) 10.1804 + 6.54253i 0.525013 + 0.337405i
\(377\) −3.85811 + 1.43900i −0.198703 + 0.0741123i
\(378\) −0.197874 0.362379i −0.0101775 0.0186388i
\(379\) −15.8684 18.3132i −0.815107 0.940683i 0.184001 0.982926i \(-0.441095\pi\)
−0.999107 + 0.0422428i \(0.986550\pi\)
\(380\) 1.39240 + 4.89707i 0.0714287 + 0.251214i
\(381\) −3.68920 1.08325i −0.189003 0.0554964i
\(382\) −2.03710 5.46168i −0.104227 0.279444i
\(383\) −8.17072 37.5602i −0.417505 1.91924i −0.393002 0.919538i \(-0.628563\pi\)
−0.0245024 0.999700i \(-0.507800\pi\)
\(384\) 0.281733 + 0.959493i 0.0143771 + 0.0489639i
\(385\) −0.535130 2.56570i −0.0272728 0.130760i
\(386\) −7.12496 15.6015i −0.362651 0.794095i
\(387\) 2.07745 + 1.55516i 0.105603 + 0.0790531i
\(388\) −8.84381 1.92385i −0.448976 0.0976688i
\(389\) 9.17514 10.5887i 0.465198 0.536867i −0.473872 0.880594i \(-0.657144\pi\)
0.939070 + 0.343727i \(0.111689\pi\)
\(390\) 1.23770 + 3.40736i 0.0626732 + 0.172539i
\(391\) −1.02886 + 0.990853i −0.0520315 + 0.0501096i
\(392\) −4.82921 4.82921i −0.243912 0.243912i
\(393\) 1.02320 + 14.3063i 0.0516138 + 0.721656i
\(394\) 1.89220 + 2.94432i 0.0953277 + 0.148333i
\(395\) 20.0621 + 6.07815i 1.00943 + 0.305825i
\(396\) −2.58230 + 1.17930i −0.129765 + 0.0592619i
\(397\) −0.223545 + 0.167344i −0.0112194 + 0.00839873i −0.604873 0.796322i \(-0.706776\pi\)
0.593653 + 0.804721i \(0.297685\pi\)
\(398\) 6.74516 + 3.68313i 0.338104 + 0.184619i
\(399\) 0.508240 0.790838i 0.0254438 0.0395914i
\(400\) 4.82092 1.32617i 0.241046 0.0663083i
\(401\) 3.01368 10.2636i 0.150496 0.512541i −0.849388 0.527768i \(-0.823029\pi\)
0.999884 + 0.0152269i \(0.00484707\pi\)
\(402\) 9.48121 + 0.678110i 0.472880 + 0.0338210i
\(403\) 9.71167 + 0.694592i 0.483773 + 0.0346001i
\(404\) 0.00159115 0.00541896i 7.91626e−5 0.000269603i
\(405\) 1.44977 + 1.70240i 0.0720394 + 0.0845931i
\(406\) 0.566954 0.882198i 0.0281375 0.0437827i
\(407\) 4.01428 + 2.19197i 0.198981 + 0.108652i
\(408\) 0.238435 0.178490i 0.0118043 0.00883659i
\(409\) −28.8602 + 13.1800i −1.42705 + 0.651710i −0.971182 0.238339i \(-0.923397\pi\)
−0.455865 + 0.890049i \(0.650670\pi\)
\(410\) −2.05701 3.84518i −0.101589 0.189900i
\(411\) 11.1116 + 17.2900i 0.548094 + 0.852851i
\(412\) 0.723934 + 10.1219i 0.0356657 + 0.498671i
\(413\) −2.99560 2.99560i −0.147404 0.147404i
\(414\) 1.10741 4.66622i 0.0544261 0.229332i
\(415\) 25.6846 9.32972i 1.26081 0.457978i
\(416\) −1.06168 + 1.22525i −0.0520533 + 0.0600727i
\(417\) 5.03581 + 1.09547i 0.246605 + 0.0536456i
\(418\) −5.17438 3.87349i −0.253087 0.189459i
\(419\) −11.5244 25.2349i −0.563003 1.23280i −0.950440 0.310908i \(-0.899367\pi\)
0.387437 0.921896i \(-0.373360\pi\)
\(420\) −0.772365 0.505781i −0.0376875 0.0246796i
\(421\) 1.33407 + 4.54342i 0.0650185 + 0.221433i 0.985593 0.169134i \(-0.0540972\pi\)
−0.920574 + 0.390567i \(0.872279\pi\)
\(422\) −3.58021 16.4579i −0.174282 0.801160i
\(423\) 4.22902 + 11.3384i 0.205622 + 0.551294i
\(424\) 0.235658 + 0.0691954i 0.0114446 + 0.00336043i
\(425\) −0.871871 1.20731i −0.0422920 0.0585631i
\(426\) 0.0645553 + 0.0745008i 0.00312772 + 0.00360958i
\(427\) −0.992054 1.81681i −0.0480088 0.0879216i
\(428\) −5.27692 + 1.96819i −0.255069 + 0.0951360i
\(429\) −3.87181 2.48826i −0.186933 0.120134i
\(430\) 5.73636 + 0.875043i 0.276632 + 0.0421983i
\(431\) −6.13342 0.881853i −0.295437 0.0424774i −0.00699715 0.999976i \(-0.502227\pi\)
−0.288439 + 0.957498i \(0.593136\pi\)
\(432\) −0.349464 + 0.936950i −0.0168136 + 0.0450790i
\(433\) 2.65125 3.54165i 0.127411 0.170201i −0.732300 0.680983i \(-0.761553\pi\)
0.859711 + 0.510781i \(0.170644\pi\)
\(434\) −2.08598 + 1.34058i −0.100130 + 0.0643497i
\(435\) −2.03029 + 5.30403i −0.0973448 + 0.254309i
\(436\) 18.1004i 0.866854i
\(437\) 10.5331 2.87869i 0.503865 0.137707i
\(438\) −2.41678 + 2.41678i −0.115478 + 0.115478i
\(439\) −1.22419 1.06076i −0.0584272 0.0506274i 0.625158 0.780498i \(-0.285035\pi\)
−0.683585 + 0.729871i \(0.739580\pi\)
\(440\) −3.84756 + 5.04889i −0.183425 + 0.240697i
\(441\) −0.971943 6.76001i −0.0462830 0.321905i
\(442\) 0.452428 + 0.168747i 0.0215198 + 0.00802646i
\(443\) 17.6157 + 23.5318i 0.836948 + 1.11803i 0.991508 + 0.130048i \(0.0415133\pi\)
−0.154559 + 0.987983i \(0.549396\pi\)
\(444\) 1.54587 0.453909i 0.0733638 0.0215416i
\(445\) −4.90283 + 3.09176i −0.232416 + 0.146564i
\(446\) 1.93648 4.24031i 0.0916952 0.200784i
\(447\) 17.9154 9.78256i 0.847371 0.462699i
\(448\) 0.0294547 0.411831i 0.00139161 0.0194572i
\(449\) −15.4064 + 13.3497i −0.727071 + 0.630011i −0.937656 0.347565i \(-0.887009\pi\)
0.210585 + 0.977576i \(0.432463\pi\)
\(450\) 4.65409 + 1.82742i 0.219396 + 0.0861454i
\(451\) 5.03604 + 2.29988i 0.237138 + 0.108297i
\(452\) −6.64287 + 1.44507i −0.312454 + 0.0679703i
\(453\) −7.95292 + 14.5647i −0.373661 + 0.684308i
\(454\) 3.05572 21.2530i 0.143412 0.997452i
\(455\) 0.0128374 1.49673i 0.000601827 0.0701676i
\(456\) −2.25367 + 0.324029i −0.105538 + 0.0151740i
\(457\) 6.19646 28.4847i 0.289858 1.33246i −0.569883 0.821726i \(-0.693011\pi\)
0.859741 0.510730i \(-0.170625\pi\)
\(458\) 9.62012 0.688045i 0.449519 0.0321502i
\(459\) 0.297842 0.0139021
\(460\) −2.73831 10.3683i −0.127675 0.483424i
\(461\) −10.9110 −0.508177 −0.254089 0.967181i \(-0.581775\pi\)
−0.254089 + 0.967181i \(0.581775\pi\)
\(462\) 1.16912 0.0836173i 0.0543925 0.00389023i
\(463\) −2.97020 + 13.6538i −0.138037 + 0.634545i 0.855186 + 0.518321i \(0.173443\pi\)
−0.993223 + 0.116224i \(0.962921\pi\)
\(464\) −2.51402 + 0.361462i −0.116710 + 0.0167804i
\(465\) 9.57676 9.41388i 0.444112 0.436558i
\(466\) 0.0755657 0.525571i 0.00350051 0.0243466i
\(467\) −8.44187 + 15.4601i −0.390643 + 0.715410i −0.996800 0.0799355i \(-0.974529\pi\)
0.606157 + 0.795345i \(0.292710\pi\)
\(468\) −1.58419 + 0.344618i −0.0732290 + 0.0159300i
\(469\) −3.56997 1.63035i −0.164846 0.0752826i
\(470\) 20.2976 + 17.8950i 0.936258 + 0.825437i
\(471\) 8.25871 7.15621i 0.380541 0.329741i
\(472\) −0.731980 + 10.2344i −0.0336921 + 0.471078i
\(473\) −6.46581 + 3.53060i −0.297298 + 0.162337i
\(474\) −3.89442 + 8.52760i −0.178877 + 0.391686i
\(475\) 1.42662 + 11.2945i 0.0654579 + 0.518226i
\(476\) −0.117993 + 0.0346458i −0.00540819 + 0.00158799i
\(477\) 0.147187 + 0.196618i 0.00673921 + 0.00900253i
\(478\) −17.6344 6.57729i −0.806578 0.300838i
\(479\) −1.66373 11.5715i −0.0760178 0.528716i −0.991875 0.127212i \(-0.959397\pi\)
0.915858 0.401503i \(-0.131512\pi\)
\(480\) 0.299231 + 2.21596i 0.0136580 + 0.101144i
\(481\) 1.97404 + 1.71051i 0.0900084 + 0.0779927i
\(482\) 6.95348 6.95348i 0.316722 0.316722i
\(483\) −1.10168 + 1.64535i −0.0501282 + 0.0748659i
\(484\) 2.94099i 0.133681i
\(485\) −18.9005 7.23477i −0.858227 0.328514i
\(486\) −0.841254 + 0.540641i −0.0381600 + 0.0245240i
\(487\) 16.3820 21.8838i 0.742339 0.991649i −0.257340 0.966321i \(-0.582846\pi\)
0.999679 0.0253283i \(-0.00806311\pi\)
\(488\) −1.75206 + 4.69746i −0.0793121 + 0.212644i
\(489\) −6.02050 0.865617i −0.272257 0.0391446i
\(490\) −9.04655 12.3033i −0.408682 0.555808i
\(491\) −28.8062 18.5126i −1.30001 0.835464i −0.306794 0.951776i \(-0.599256\pi\)
−0.993213 + 0.116312i \(0.962893\pi\)
\(492\) 1.82725 0.681530i 0.0823789 0.0307258i
\(493\) 0.362543 + 0.663948i 0.0163281 + 0.0299027i
\(494\) −2.41729 2.78970i −0.108759 0.125514i
\(495\) −6.10582 + 1.73609i −0.274436 + 0.0780314i
\(496\) 5.76232 + 1.69197i 0.258736 + 0.0759717i
\(497\) −0.0142237 0.0381352i −0.000638020 0.00171060i
\(498\) 2.59772 + 11.9415i 0.116407 + 0.535113i
\(499\) −0.827420 2.81793i −0.0370404 0.126148i 0.938897 0.344197i \(-0.111849\pi\)
−0.975938 + 0.218049i \(0.930031\pi\)
\(500\) 11.1038 1.30589i 0.496578 0.0584010i
\(501\) 1.61392 + 3.53399i 0.0721046 + 0.157887i
\(502\) 2.80050 + 2.09643i 0.124992 + 0.0935682i
\(503\) −20.0778 4.36765i −0.895224 0.194744i −0.258660 0.965968i \(-0.583281\pi\)
−0.636564 + 0.771224i \(0.719645\pi\)
\(504\) 0.270381 0.312036i 0.0120437 0.0138992i
\(505\) 0.00534449 0.0114421i 0.000237826 0.000509165i
\(506\) 10.7436 + 8.36252i 0.477613 + 0.371759i
\(507\) 7.33383 + 7.33383i 0.325707 + 0.325707i
\(508\) −0.274295 3.83515i −0.0121699 0.170157i
\(509\) 21.9452 + 34.1474i 0.972703 + 1.51356i 0.853768 + 0.520654i \(0.174312\pi\)
0.118936 + 0.992902i \(0.462052\pi\)
\(510\) 0.587247 0.314153i 0.0260037 0.0139109i
\(511\) 1.28365 0.586221i 0.0567852 0.0259329i
\(512\) −0.800541 + 0.599278i −0.0353793 + 0.0264846i
\(513\) −1.99834 1.09118i −0.0882288 0.0481766i
\(514\) −1.48301 + 2.30760i −0.0654126 + 0.101784i
\(515\) −1.81282 + 22.6186i −0.0798826 + 0.996694i
\(516\) −0.731111 + 2.48993i −0.0321854 + 0.109613i
\(517\) −34.2665 2.45079i −1.50704 0.107786i
\(518\) −0.663515 0.0474555i −0.0291532 0.00208508i
\(519\) 0.855659 2.91411i 0.0375593 0.127915i
\(520\) −2.76000 + 2.35041i −0.121034 + 0.103072i
\(521\) 17.3056 26.9280i 0.758170 1.17974i −0.220718 0.975338i \(-0.570840\pi\)
0.978888 0.204398i \(-0.0655237\pi\)
\(522\) −2.22919 1.21723i −0.0975691 0.0532768i
\(523\) −31.3845 + 23.4942i −1.37235 + 1.02733i −0.377494 + 0.926012i \(0.623214\pi\)
−0.994854 + 0.101316i \(0.967695\pi\)
\(524\) −13.0467 + 5.95822i −0.569947 + 0.260286i
\(525\) −1.53676 1.37847i −0.0670698 0.0601612i
\(526\) −10.2950 16.0193i −0.448883 0.698475i
\(527\) −0.127606 1.78416i −0.00555859 0.0777193i
\(528\) −2.00736 2.00736i −0.0873593 0.0873593i
\(529\) −22.2965 + 5.64508i −0.969412 + 0.245438i
\(530\) 0.497589 + 0.232419i 0.0216139 + 0.0100956i
\(531\) −6.71924 + 7.75442i −0.291590 + 0.336513i
\(532\) 0.918587 + 0.199826i 0.0398258 + 0.00866357i
\(533\) 2.53112 + 1.89477i 0.109635 + 0.0820716i
\(534\) −1.07683 2.35792i −0.0465988 0.102037i
\(535\) −12.3283 + 2.57131i −0.532998 + 0.111168i
\(536\) 2.67799 + 9.12039i 0.115672 + 0.393941i
\(537\) −0.0884921 0.406792i −0.00381872 0.0175544i
\(538\) −5.36145 14.3746i −0.231149 0.619734i
\(539\) 18.6026 + 5.46221i 0.801270 + 0.235274i
\(540\) −1.08843 + 1.95329i −0.0468384 + 0.0840561i
\(541\) −12.8766 14.8603i −0.553606 0.638896i 0.408113 0.912931i \(-0.366187\pi\)
−0.961720 + 0.274036i \(0.911641\pi\)
\(542\) 3.84705 + 7.04535i 0.165245 + 0.302624i
\(543\) −11.2997 + 4.21457i −0.484916 + 0.180864i
\(544\) 0.250561 + 0.161026i 0.0107427 + 0.00690392i
\(545\) −6.10341 + 40.0110i −0.261441 + 1.71388i
\(546\) 0.662567 + 0.0952628i 0.0283553 + 0.00407687i
\(547\) −6.76293 + 18.1321i −0.289162 + 0.775273i 0.708421 + 0.705790i \(0.249408\pi\)
−0.997583 + 0.0694833i \(0.977865\pi\)
\(548\) −12.3167 + 16.4532i −0.526144 + 0.702847i
\(549\) −4.21768 + 2.71054i −0.180006 + 0.115683i
\(550\) −10.2075 + 9.86318i −0.435249 + 0.420567i
\(551\) 5.78289i 0.246360i
\(552\) 4.75902 0.593093i 0.202557 0.0252437i
\(553\) 2.73699 2.73699i 0.116389 0.116389i
\(554\) 10.1555 + 8.79978i 0.431465 + 0.373867i
\(555\) 3.57020 0.482101i 0.151547 0.0204641i
\(556\) 0.733432 + 5.10113i 0.0311045 + 0.216336i
\(557\) −5.48891 2.04726i −0.232572 0.0867450i 0.230476 0.973078i \(-0.425972\pi\)
−0.463048 + 0.886333i \(0.653244\pi\)
\(558\) 3.59902 + 4.80772i 0.152358 + 0.203527i
\(559\) −4.03677 + 1.18530i −0.170737 + 0.0501330i
\(560\) 0.203978 0.900419i 0.00861963 0.0380497i
\(561\) −0.351245 + 0.769119i −0.0148296 + 0.0324722i
\(562\) −2.59892 + 1.41912i −0.109629 + 0.0598618i
\(563\) 0.0814099 1.13826i 0.00343102 0.0479719i −0.995448 0.0953045i \(-0.969618\pi\)
0.998879 + 0.0473326i \(0.0150721\pi\)
\(564\) −9.14566 + 7.92476i −0.385102 + 0.333693i
\(565\) −15.1713 + 0.954364i −0.638262 + 0.0401504i
\(566\) −23.0405 10.5222i −0.968462 0.442282i
\(567\) 0.403447 0.0877646i 0.0169432 0.00368577i
\(568\) −0.0472437 + 0.0865204i −0.00198230 + 0.00363032i
\(569\) −5.39013 + 37.4892i −0.225966 + 1.57163i 0.488883 + 0.872349i \(0.337404\pi\)
−0.714849 + 0.699279i \(0.753505\pi\)
\(570\) −5.09099 0.0436654i −0.213238 0.00182894i
\(571\) 12.0294 1.72957i 0.503416 0.0723803i 0.114072 0.993473i \(-0.463611\pi\)
0.389345 + 0.921092i \(0.372702\pi\)
\(572\) 0.978317 4.49725i 0.0409055 0.188039i
\(573\) 5.81437 0.415852i 0.242899 0.0173725i
\(574\) −0.805211 −0.0336088
\(575\) −2.55688 23.8424i −0.106629 0.994299i
\(576\) −1.00000 −0.0416667
\(577\) 14.8691 1.06346i 0.619010 0.0442725i 0.241687 0.970354i \(-0.422299\pi\)
0.377323 + 0.926082i \(0.376845\pi\)
\(578\) −3.59475 + 16.5248i −0.149522 + 0.687342i
\(579\) 16.9769 2.44090i 0.705534 0.101440i
\(580\) −5.67912 0.0487098i −0.235813 0.00202257i
\(581\) 0.718088 4.99441i 0.0297913 0.207203i
\(582\) 4.33751 7.94356i 0.179796 0.329271i
\(583\) −0.681304 + 0.148209i −0.0282167 + 0.00613817i
\(584\) −3.10898 1.41982i −0.128651 0.0587527i
\(585\) −3.61804 + 0.227596i −0.149588 + 0.00940993i
\(586\) −2.99017 + 2.59100i −0.123523 + 0.107033i
\(587\) −1.24714 + 17.4373i −0.0514750 + 0.719715i 0.904538 + 0.426392i \(0.140216\pi\)
−0.956013 + 0.293323i \(0.905239\pi\)
\(588\) 5.99413 3.27304i 0.247194 0.134978i
\(589\) −5.68030 + 12.4381i −0.234053 + 0.512504i
\(590\) −5.06906 + 22.3763i −0.208690 + 0.921220i
\(591\) −3.35815 + 0.986042i −0.138136 + 0.0405603i
\(592\) 0.965516 + 1.28978i 0.0396825 + 0.0530096i
\(593\) −14.8372 5.53400i −0.609292 0.227254i 0.0258293 0.999666i \(-0.491777\pi\)
−0.635122 + 0.772412i \(0.719050\pi\)
\(594\) −0.404009 2.80994i −0.0165767 0.115293i
\(595\) −0.272505 + 0.0367977i −0.0111716 + 0.00150856i
\(596\) 15.4266 + 13.3672i 0.631897 + 0.547542i
\(597\) −5.43427 + 5.43427i −0.222410 + 0.222410i
\(598\) 4.98021 + 5.97083i 0.203656 + 0.244165i
\(599\) 38.8039i 1.58549i −0.609556 0.792743i \(-0.708652\pi\)
0.609556 0.792743i \(-0.291348\pi\)
\(600\) −0.0857637 + 4.99926i −0.00350129 + 0.204094i
\(601\) −17.8523 + 11.4729i −0.728208 + 0.467991i −0.851484 0.524381i \(-0.824297\pi\)
0.123275 + 0.992373i \(0.460660\pi\)
\(602\) 0.642098 0.857742i 0.0261700 0.0349590i
\(603\) −3.32181 + 8.90611i −0.135274 + 0.362685i
\(604\) −16.4256 2.36165i −0.668349 0.0960941i
\(605\) −0.991691 + 6.50104i −0.0403180 + 0.264305i
\(606\) 0.00475117 + 0.00305339i 0.000193003 + 0.000124036i
\(607\) 42.6218 15.8971i 1.72997 0.645244i 0.730669 0.682732i \(-0.239208\pi\)
0.999297 + 0.0374885i \(0.0119357\pi\)
\(608\) −1.09118 1.99834i −0.0442530 0.0810433i
\(609\) 0.686733 + 0.792532i 0.0278278 + 0.0321150i
\(610\) −5.45690 + 9.79294i −0.220943 + 0.396504i
\(611\) −18.8246 5.52739i −0.761560 0.223614i
\(612\) 0.104085 + 0.279063i 0.00420740 + 0.0112805i
\(613\) −1.71098 7.86523i −0.0691057 0.317674i 0.929598 0.368575i \(-0.120154\pi\)
−0.998704 + 0.0509014i \(0.983791\pi\)
\(614\) −3.52732 12.0130i −0.142351 0.484804i
\(615\) 4.26895 0.890377i 0.172141 0.0359035i
\(616\) 0.486912 + 1.06619i 0.0196182 + 0.0429579i
\(617\) 0.481894 + 0.360741i 0.0194003 + 0.0145229i 0.608934 0.793221i \(-0.291597\pi\)
−0.589534 + 0.807744i \(0.700688\pi\)
\(618\) −9.91587 2.15706i −0.398875 0.0867699i
\(619\) 9.50495 10.9693i 0.382036 0.440893i −0.531865 0.846829i \(-0.678509\pi\)
0.913902 + 0.405936i \(0.133054\pi\)
\(620\) 12.1671 + 5.68313i 0.488641 + 0.228240i
\(621\) 4.16522 + 2.37718i 0.167144 + 0.0953928i
\(622\) −8.44822 8.44822i −0.338743 0.338743i
\(623\) 0.0763517 + 1.06754i 0.00305897 + 0.0427699i
\(624\) −0.876506 1.36387i −0.0350883 0.0545985i
\(625\) 24.9853 + 0.857511i 0.999412 + 0.0343004i
\(626\) −10.1057 + 4.61510i −0.403903 + 0.184457i
\(627\) 5.17438 3.87349i 0.206645 0.154692i
\(628\) 9.59113 + 5.23716i 0.382728 + 0.208985i
\(629\) 0.259434 0.403687i 0.0103443 0.0160961i
\(630\) 0.702894 0.598584i 0.0280040 0.0238481i
\(631\) 2.46139 8.38271i 0.0979862 0.333710i −0.895880 0.444295i \(-0.853454\pi\)
0.993867 + 0.110585i \(0.0352723\pi\)
\(632\) −9.35090 0.668789i −0.371959 0.0266030i
\(633\) 16.7999 + 1.20156i 0.667738 + 0.0477576i
\(634\) 8.76268 29.8430i 0.348011 1.18522i
\(635\) 0.686871 8.57008i 0.0272576 0.340093i
\(636\) −0.132785 + 0.206617i −0.00526527 + 0.00819292i
\(637\) 9.71790 + 5.30638i 0.385037 + 0.210246i
\(638\) 5.77214 4.32097i 0.228521 0.171069i
\(639\) −0.0896703 + 0.0409511i −0.00354730 + 0.00162000i
\(640\) −1.97167 + 1.05476i −0.0779371 + 0.0416931i
\(641\) 18.9736 + 29.5235i 0.749412 + 1.16611i 0.981135 + 0.193325i \(0.0619273\pi\)
−0.231723 + 0.972782i \(0.574436\pi\)
\(642\) −0.401783 5.61767i −0.0158571 0.221712i
\(643\) 2.24665 + 2.24665i 0.0885994 + 0.0885994i 0.750017 0.661418i \(-0.230045\pi\)
−0.661418 + 0.750017i \(0.730045\pi\)
\(644\) −1.92660 0.457230i −0.0759189 0.0180174i
\(645\) −2.45572 + 5.25747i −0.0966937 + 0.207012i
\(646\) −0.444088 + 0.512505i −0.0174724 + 0.0201642i
\(647\) 20.2088 + 4.39616i 0.794491 + 0.172831i 0.591453 0.806340i \(-0.298555\pi\)
0.203038 + 0.979171i \(0.434918\pi\)
\(648\) −0.800541 0.599278i −0.0314482 0.0235419i
\(649\) −12.1003 26.4959i −0.474977 1.04005i
\(650\) −6.89352 + 4.26492i −0.270386 + 0.167284i
\(651\) −0.698586 2.37916i −0.0273797 0.0932468i
\(652\) −1.29291 5.94341i −0.0506343 0.232762i
\(653\) 11.6748 + 31.3015i 0.456872 + 1.22492i 0.937497 + 0.347994i \(0.113137\pi\)
−0.480625 + 0.876926i \(0.659590\pi\)
\(654\) −17.3673 5.09949i −0.679113 0.199406i
\(655\) −30.8487 + 8.77133i −1.20536 + 0.342724i
\(656\) 1.27712 + 1.47387i 0.0498631 + 0.0575451i
\(657\) −1.63800 2.99977i −0.0639044 0.117032i
\(658\) 4.68145 1.74609i 0.182502 0.0680697i
\(659\) −11.3677 7.30559i −0.442824 0.284586i 0.300168 0.953886i \(-0.402957\pi\)
−0.742991 + 0.669301i \(0.766594\pi\)
\(660\) −3.76039 5.11415i −0.146373 0.199068i
\(661\) −4.65136 0.668764i −0.180917 0.0260119i 0.0512609 0.998685i \(-0.483676\pi\)
−0.232178 + 0.972673i \(0.574585\pi\)
\(662\) −9.36186 + 25.1001i −0.363859 + 0.975544i
\(663\) −0.289375 + 0.386560i −0.0112384 + 0.0150127i
\(664\) −10.2808 + 6.60708i −0.398973 + 0.256404i
\(665\) 1.96315 + 0.751460i 0.0761278 + 0.0291404i
\(666\) 1.61113i 0.0624302i
\(667\) −0.229154 + 12.1786i −0.00887289 + 0.471559i
\(668\) −2.74716 + 2.74716i −0.106291 + 0.106291i
\(669\) 3.52298 + 3.05268i 0.136206 + 0.118023i
\(670\) 2.84432 + 21.0636i 0.109886 + 0.813759i
\(671\) −2.02553 14.0879i −0.0781946 0.543855i
\(672\) 0.386851 + 0.144288i 0.0149231 + 0.00556602i
\(673\) 22.2853 + 29.7697i 0.859037 + 1.14754i 0.987779 + 0.155860i \(0.0498150\pi\)
−0.128742 + 0.991678i \(0.541094\pi\)
\(674\) 12.7026 3.72983i 0.489287 0.143668i
\(675\) −3.06460 + 3.95072i −0.117957 + 0.152063i
\(676\) −4.30852 + 9.43433i −0.165712 + 0.362859i
\(677\) 29.0611 15.8686i 1.11691 0.609878i 0.188735 0.982028i \(-0.439561\pi\)
0.928173 + 0.372150i \(0.121379\pi\)
\(678\) 0.484980 6.78091i 0.0186255 0.260419i
\(679\) −2.82413 + 2.44712i −0.108380 + 0.0939119i
\(680\) 0.499567 + 0.440435i 0.0191575 + 0.0168899i
\(681\) 19.5312 + 8.91959i 0.748437 + 0.341800i
\(682\) −16.6593 + 3.62401i −0.637917 + 0.138770i
\(683\) −12.3352 + 22.5903i −0.471995 + 0.864394i 0.527891 + 0.849312i \(0.322983\pi\)
−0.999886 + 0.0150823i \(0.995199\pi\)
\(684\) 0.324029 2.25367i 0.0123895 0.0861712i
\(685\) −32.7741 + 32.2166i −1.25223 + 1.23093i
\(686\) −5.65186 + 0.812615i −0.215789 + 0.0310258i
\(687\) −2.05013 + 9.42428i −0.0782172 + 0.359559i
\(688\) −2.58844 + 0.185129i −0.0986834 + 0.00705797i
\(689\) −0.398186 −0.0151697
\(690\) 10.7198 + 0.293695i 0.408095 + 0.0111808i
\(691\) 19.7711 0.752127 0.376064 0.926594i \(-0.377277\pi\)
0.376064 + 0.926594i \(0.377277\pi\)
\(692\) 3.02939 0.216666i 0.115160 0.00823642i
\(693\) −0.249150 + 1.14532i −0.00946441 + 0.0435072i
\(694\) 29.0351 4.17462i 1.10216 0.158466i
\(695\) −0.0988358 + 11.5234i −0.00374906 + 0.437106i
\(696\) 0.361462 2.51402i 0.0137012 0.0952937i
\(697\) 0.278375 0.509806i 0.0105442 0.0193103i
\(698\) 11.0079 2.39463i 0.416657 0.0906381i
\(699\) 0.482993 + 0.220575i 0.0182685 + 0.00834292i
\(700\) 0.754511 1.92159i 0.0285178 0.0726294i
\(701\) 38.2691 33.1603i 1.44540 1.25245i 0.531167 0.847267i \(-0.321754\pi\)
0.914236 0.405182i \(-0.132792\pi\)
\(702\) 0.115658 1.61710i 0.00436522 0.0610337i
\(703\) −3.21959 + 1.75803i −0.121429 + 0.0663053i
\(704\) 1.17930 2.58230i 0.0444464 0.0973241i
\(705\) −22.8887 + 14.4338i −0.862037 + 0.543607i
\(706\) 2.92253 0.858131i 0.109991 0.0322962i
\(707\) −0.00139743 0.00186674i −5.25556e−5 7.02061e-5i
\(708\) −9.61364 3.58570i −0.361303 0.134759i
\(709\) −5.85829 40.7453i −0.220013 1.53022i −0.737980 0.674822i \(-0.764220\pi\)
0.517968 0.855400i \(-0.326689\pi\)
\(710\) −0.133607 + 0.175323i −0.00501417 + 0.00657975i
\(711\) −7.08499 6.13918i −0.265708 0.230237i
\(712\) 1.83294 1.83294i 0.0686924 0.0686924i
\(713\) 12.4555 25.9693i 0.466460 0.972558i
\(714\) 0.122974i 0.00460219i
\(715\) 3.67902 9.61127i 0.137588 0.359441i
\(716\) 0.350219 0.225072i 0.0130883 0.00841133i
\(717\) 11.2790 15.0670i 0.421224 0.562689i
\(718\) −10.5404 + 28.2599i −0.393365 + 1.05465i
\(719\) −10.1755 1.46301i −0.379480 0.0545610i −0.0500645 0.998746i \(-0.515943\pi\)
−0.329416 + 0.944185i \(0.606852\pi\)
\(720\) −2.21050 0.337197i −0.0823804 0.0125666i
\(721\) 3.52472 + 2.26520i 0.131267 + 0.0843605i
\(722\) −12.9449 + 4.82819i −0.481759 + 0.179687i
\(723\) 4.71279 + 8.63084i 0.175271 + 0.320984i
\(724\) −7.89767 9.11440i −0.293515 0.338734i
\(725\) −12.5373 2.02265i −0.465622 0.0751195i
\(726\) −2.82186 0.828571i −0.104729 0.0307512i
\(727\) 8.70106 + 23.3284i 0.322704 + 0.865204i 0.992454 + 0.122617i \(0.0391286\pi\)
−0.669750 + 0.742587i \(0.733599\pi\)
\(728\) 0.142287 + 0.654083i 0.00527351 + 0.0242419i
\(729\) −0.281733 0.959493i −0.0104345 0.0355368i
\(730\) −6.39364 4.18686i −0.236639 0.154963i
\(731\) 0.321081 + 0.703070i 0.0118756 + 0.0260040i
\(732\) −4.01357 3.00452i −0.148346 0.111050i
\(733\) −8.19628 1.78299i −0.302736 0.0658563i 0.0586312 0.998280i \(-0.481326\pi\)
−0.361368 + 0.932423i \(0.617690\pi\)
\(734\) 4.20846 4.85683i 0.155337 0.179269i
\(735\) 14.3537 5.21385i 0.529443 0.192316i
\(736\) 2.21880 + 4.25169i 0.0817862 + 0.156720i
\(737\) −19.0809 19.0809i −0.702852 0.702852i
\(738\) 0.139127 + 1.94525i 0.00512133 + 0.0716055i
\(739\) −0.0773273 0.120324i −0.00284453 0.00442617i 0.839828 0.542852i \(-0.182656\pi\)
−0.842673 + 0.538426i \(0.819019\pi\)
\(740\) 1.69936 + 3.17662i 0.0624698 + 0.116775i
\(741\) 3.35772 1.53342i 0.123349 0.0563317i
\(742\) 0.0811804 0.0607709i 0.00298022 0.00223097i
\(743\) −29.5004 16.1084i −1.08226 0.590961i −0.163811 0.986492i \(-0.552379\pi\)
−0.918453 + 0.395531i \(0.870561\pi\)
\(744\) −3.24687 + 5.05222i −0.119036 + 0.185223i
\(745\) 29.5930 + 34.7499i 1.08420 + 1.27314i
\(746\) −0.737825 + 2.51280i −0.0270137 + 0.0920002i
\(747\) −12.1897 0.871824i −0.445997 0.0318984i
\(748\) −0.843373 0.0603192i −0.0308368 0.00220549i
\(749\) −0.655131 + 2.23117i −0.0239380 + 0.0815252i
\(750\) −1.87532 + 11.0219i −0.0684769 + 0.402464i
\(751\) 25.0142 38.9229i 0.912781 1.42032i 0.00541008 0.999985i \(-0.498278\pi\)
0.907371 0.420330i \(-0.138086\pi\)
\(752\) −10.6212 5.79960i −0.387315 0.211490i
\(753\) −2.80050 + 2.09643i −0.102056 + 0.0763981i
\(754\) 3.74562 1.71057i 0.136407 0.0622952i
\(755\) −35.5125 10.7591i −1.29243 0.391563i
\(756\) 0.223221 + 0.347339i 0.00811849 + 0.0126326i
\(757\) −3.86772 54.0778i −0.140575 1.96549i −0.240936 0.970541i \(-0.577454\pi\)
0.100361 0.994951i \(-0.468000\pi\)
\(758\) 17.1344 + 17.1344i 0.622351 + 0.622351i
\(759\) −11.0506 + 7.95244i −0.401112 + 0.288655i
\(760\) −1.73821 4.78526i −0.0630514 0.173580i
\(761\) 16.2690 18.7755i 0.589753 0.680611i −0.379920 0.925019i \(-0.624048\pi\)
0.969672 + 0.244409i \(0.0785939\pi\)
\(762\) 3.75708 + 0.817302i 0.136105 + 0.0296077i
\(763\) 5.98274 + 4.47862i 0.216590 + 0.162137i
\(764\) 2.42155 + 5.30244i 0.0876084 + 0.191836i
\(765\) 0.135981 + 0.651966i 0.00491640 + 0.0235719i
\(766\) 10.8294 + 36.8816i 0.391283 + 1.33259i
\(767\) −3.53598 16.2546i −0.127677 0.586921i
\(768\) −0.349464 0.936950i −0.0126102 0.0338093i
\(769\) 15.7464 + 4.62357i 0.567831 + 0.166730i 0.553032 0.833160i \(-0.313471\pi\)
0.0147992 + 0.999890i \(0.495289\pi\)
\(770\) 0.716802 + 2.52099i 0.0258317 + 0.0908502i
\(771\) −1.79632 2.07306i −0.0646928 0.0746594i
\(772\) 8.21981 + 15.0535i 0.295837 + 0.541786i