Properties

Label 230.2.l.a.97.9
Level $230$
Weight $2$
Character 230.97
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
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 97.9
Character \(\chi\) \(=\) 230.97
Dual form 230.2.l.a.83.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.479249 + 0.877679i) q^{2} +(-0.0548882 - 0.767437i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(2.20989 + 0.341164i) q^{5} +(0.647258 - 0.415968i) q^{6} +(-0.484532 - 0.180721i) q^{7} +(-0.997452 - 0.0713392i) q^{8} +(2.38352 - 0.342698i) q^{9} +O(q^{10})\) \(q+(0.479249 + 0.877679i) q^{2} +(-0.0548882 - 0.767437i) q^{3} +(-0.540641 + 0.841254i) q^{4} +(2.20989 + 0.341164i) q^{5} +(0.647258 - 0.415968i) q^{6} +(-0.484532 - 0.180721i) q^{7} +(-0.997452 - 0.0713392i) q^{8} +(2.38352 - 0.342698i) q^{9} +(0.759654 + 2.10308i) q^{10} +(0.0487894 + 0.166162i) q^{11} +(0.675284 + 0.368733i) q^{12} +(0.678467 + 1.81904i) q^{13} +(-0.0735963 - 0.511873i) q^{14} +(0.140525 - 1.71468i) q^{15} +(-0.415415 - 0.909632i) q^{16} +(-0.00793746 + 0.0364879i) q^{17} +(1.44308 + 1.92773i) q^{18} +(0.624467 + 0.401321i) q^{19} +(-1.48176 + 1.67463i) q^{20} +(-0.112097 + 0.381767i) q^{21} +(-0.122454 + 0.122454i) q^{22} +(-4.61791 + 1.29419i) q^{23} +0.769398i q^{24} +(4.76721 + 1.50787i) q^{25} +(-1.27138 + 1.46725i) q^{26} +(-0.884468 - 4.06583i) q^{27} +(0.413990 - 0.309909i) q^{28} +(-1.50901 - 2.34806i) q^{29} +(1.57228 - 0.698421i) q^{30} +(-1.86943 - 2.15743i) q^{31} +(0.599278 - 0.800541i) q^{32} +(0.124841 - 0.0465631i) q^{33} +(-0.0358287 + 0.0105203i) q^{34} +(-1.00911 - 0.564678i) q^{35} +(-1.00033 + 2.19042i) q^{36} +(-6.38904 - 4.78278i) q^{37} +(-0.0529555 + 0.740414i) q^{38} +(1.35876 - 0.620525i) q^{39} +(-2.17992 - 0.497947i) q^{40} +(-0.673689 + 4.68561i) q^{41} +(-0.388791 + 0.0845763i) q^{42} +(-6.52582 + 0.466736i) q^{43} +(-0.166162 - 0.0487894i) q^{44} +(5.38422 + 0.0558469i) q^{45} +(-3.34901 - 3.43280i) q^{46} +(-5.54415 - 5.54415i) q^{47} +(-0.675284 + 0.368733i) q^{48} +(-5.08814 - 4.40890i) q^{49} +(0.961256 + 4.90673i) q^{50} +(0.0284379 + 0.00408875i) q^{51} +(-1.89708 - 0.412685i) q^{52} +(-0.476831 + 1.27843i) q^{53} +(3.14462 - 2.72483i) q^{54} +(0.0511308 + 0.383844i) q^{55} +(0.470405 + 0.214827i) q^{56} +(0.273713 - 0.501267i) q^{57} +(1.33766 - 2.44973i) q^{58} +(2.12411 + 0.970050i) q^{59} +(1.36650 + 1.04524i) q^{60} +(6.29529 - 5.45490i) q^{61} +(0.997614 - 2.67471i) q^{62} +(-1.21682 - 0.264703i) q^{63} +(0.989821 + 0.142315i) q^{64} +(0.878745 + 4.25135i) q^{65} +(0.100697 + 0.0872547i) q^{66} +(0.468349 - 0.255738i) q^{67} +(-0.0264043 - 0.0264043i) q^{68} +(1.24668 + 3.47292i) q^{69} +(0.0119934 - 1.15629i) q^{70} +(13.0620 + 3.83536i) q^{71} +(-2.40189 + 0.171787i) q^{72} +(-3.75133 + 0.816052i) q^{73} +(1.13580 - 7.89967i) q^{74} +(0.895532 - 3.74130i) q^{75} +(-0.675225 + 0.308365i) q^{76} +(0.00638885 - 0.0893278i) q^{77} +(1.19581 + 0.895169i) q^{78} +(0.561663 - 1.22987i) q^{79} +(-0.607687 - 2.15191i) q^{80} +(3.85973 - 1.13332i) q^{81} +(-4.43532 + 1.65429i) q^{82} +(-6.52994 + 8.72298i) q^{83} +(-0.260559 - 0.300701i) q^{84} +(-0.0299893 + 0.0779263i) q^{85} +(-3.53714 - 5.50389i) q^{86} +(-1.71917 + 1.28695i) q^{87} +(-0.0368113 - 0.169219i) q^{88} +(0.385607 - 0.445015i) q^{89} +(2.53137 + 4.75238i) q^{90} -1.00400i q^{91} +(1.40789 - 4.58452i) q^{92} +(-1.55309 + 1.55309i) q^{93} +(2.20896 - 7.52302i) q^{94} +(1.24309 + 1.09992i) q^{95} +(-0.647258 - 0.415968i) q^{96} +(3.69871 + 4.94090i) q^{97} +(1.43111 - 6.57871i) q^{98} +(0.173234 + 0.379329i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.479249 + 0.877679i 0.338880 + 0.620613i
\(3\) −0.0548882 0.767437i −0.0316897 0.443080i −0.988383 0.151983i \(-0.951434\pi\)
0.956693 0.291097i \(-0.0940204\pi\)
\(4\) −0.540641 + 0.841254i −0.270320 + 0.420627i
\(5\) 2.20989 + 0.341164i 0.988292 + 0.152573i
\(6\) 0.647258 0.415968i 0.264242 0.169818i
\(7\) −0.484532 0.180721i −0.183136 0.0683061i 0.256223 0.966618i \(-0.417522\pi\)
−0.439359 + 0.898311i \(0.644794\pi\)
\(8\) −0.997452 0.0713392i −0.352653 0.0252222i
\(9\) 2.38352 0.342698i 0.794506 0.114233i
\(10\) 0.759654 + 2.10308i 0.240224 + 0.665051i
\(11\) 0.0487894 + 0.166162i 0.0147106 + 0.0500996i 0.966521 0.256587i \(-0.0825979\pi\)
−0.951811 + 0.306686i \(0.900780\pi\)
\(12\) 0.675284 + 0.368733i 0.194938 + 0.106444i
\(13\) 0.678467 + 1.81904i 0.188173 + 0.504511i 0.996440 0.0843049i \(-0.0268670\pi\)
−0.808267 + 0.588816i \(0.799594\pi\)
\(14\) −0.0735963 0.511873i −0.0196694 0.136804i
\(15\) 0.140525 1.71468i 0.0362835 0.442728i
\(16\) −0.415415 0.909632i −0.103854 0.227408i
\(17\) −0.00793746 + 0.0364879i −0.00192512 + 0.00884962i −0.978099 0.208138i \(-0.933260\pi\)
0.976174 + 0.216988i \(0.0696232\pi\)
\(18\) 1.44308 + 1.92773i 0.340137 + 0.454369i
\(19\) 0.624467 + 0.401321i 0.143263 + 0.0920693i 0.610309 0.792164i \(-0.291045\pi\)
−0.467046 + 0.884233i \(0.654682\pi\)
\(20\) −1.48176 + 1.67463i −0.331332 + 0.374458i
\(21\) −0.112097 + 0.381767i −0.0244615 + 0.0833084i
\(22\) −0.122454 + 0.122454i −0.0261073 + 0.0261073i
\(23\) −4.61791 + 1.29419i −0.962900 + 0.269858i
\(24\) 0.769398i 0.157053i
\(25\) 4.76721 + 1.50787i 0.953443 + 0.301574i
\(26\) −1.27138 + 1.46725i −0.249338 + 0.287751i
\(27\) −0.884468 4.06583i −0.170216 0.782470i
\(28\) 0.413990 0.309909i 0.0782367 0.0585672i
\(29\) −1.50901 2.34806i −0.280216 0.436025i 0.672405 0.740183i \(-0.265261\pi\)
−0.952621 + 0.304158i \(0.901625\pi\)
\(30\) 1.57228 0.698421i 0.287058 0.127514i
\(31\) −1.86943 2.15743i −0.335759 0.387487i 0.562614 0.826720i \(-0.309796\pi\)
−0.898373 + 0.439233i \(0.855250\pi\)
\(32\) 0.599278 0.800541i 0.105938 0.141517i
\(33\) 0.124841 0.0465631i 0.0217320 0.00810560i
\(34\) −0.0358287 + 0.0105203i −0.00614457 + 0.00180421i
\(35\) −1.00911 0.564678i −0.170570 0.0954480i
\(36\) −1.00033 + 2.19042i −0.166722 + 0.365070i
\(37\) −6.38904 4.78278i −1.05035 0.786284i −0.0728781 0.997341i \(-0.523218\pi\)
−0.977474 + 0.211057i \(0.932309\pi\)
\(38\) −0.0529555 + 0.740414i −0.00859051 + 0.120111i
\(39\) 1.35876 0.620525i 0.217576 0.0993635i
\(40\) −2.17992 0.497947i −0.344676 0.0787323i
\(41\) −0.673689 + 4.68561i −0.105212 + 0.731769i 0.867108 + 0.498119i \(0.165976\pi\)
−0.972321 + 0.233649i \(0.924933\pi\)
\(42\) −0.388791 + 0.0845763i −0.0599918 + 0.0130504i
\(43\) −6.52582 + 0.466736i −0.995178 + 0.0711765i −0.559417 0.828886i \(-0.688975\pi\)
−0.435760 + 0.900063i \(0.643521\pi\)
\(44\) −0.166162 0.0487894i −0.0250498 0.00735529i
\(45\) 5.38422 + 0.0558469i 0.802633 + 0.00832516i
\(46\) −3.34901 3.43280i −0.493785 0.506139i
\(47\) −5.54415 5.54415i −0.808698 0.808698i 0.175739 0.984437i \(-0.443769\pi\)
−0.984437 + 0.175739i \(0.943769\pi\)
\(48\) −0.675284 + 0.368733i −0.0974689 + 0.0532220i
\(49\) −5.08814 4.40890i −0.726877 0.629842i
\(50\) 0.961256 + 4.90673i 0.135942 + 0.693916i
\(51\) 0.0284379 + 0.00408875i 0.00398210 + 0.000572539i
\(52\) −1.89708 0.412685i −0.263078 0.0572291i
\(53\) −0.476831 + 1.27843i −0.0654978 + 0.175606i −0.965575 0.260123i \(-0.916237\pi\)
0.900078 + 0.435730i \(0.143510\pi\)
\(54\) 3.14462 2.72483i 0.427928 0.370802i
\(55\) 0.0511308 + 0.383844i 0.00689448 + 0.0517575i
\(56\) 0.470405 + 0.214827i 0.0628604 + 0.0287074i
\(57\) 0.273713 0.501267i 0.0362541 0.0663945i
\(58\) 1.33766 2.44973i 0.175643 0.321666i
\(59\) 2.12411 + 0.970050i 0.276536 + 0.126290i 0.548856 0.835917i \(-0.315064\pi\)
−0.272320 + 0.962207i \(0.587791\pi\)
\(60\) 1.36650 + 1.04524i 0.176415 + 0.134940i
\(61\) 6.29529 5.45490i 0.806029 0.698428i −0.150964 0.988539i \(-0.548238\pi\)
0.956993 + 0.290111i \(0.0936924\pi\)
\(62\) 0.997614 2.67471i 0.126697 0.339688i
\(63\) −1.21682 0.264703i −0.153305 0.0333495i
\(64\) 0.989821 + 0.142315i 0.123728 + 0.0177894i
\(65\) 0.878745 + 4.25135i 0.108995 + 0.527315i
\(66\) 0.100697 + 0.0872547i 0.0123950 + 0.0107403i
\(67\) 0.468349 0.255738i 0.0572179 0.0312433i −0.450385 0.892834i \(-0.648713\pi\)
0.507603 + 0.861591i \(0.330532\pi\)
\(68\) −0.0264043 0.0264043i −0.00320199 0.00320199i
\(69\) 1.24668 + 3.47292i 0.150083 + 0.418090i
\(70\) 0.0119934 1.15629i 0.00143349 0.138203i
\(71\) 13.0620 + 3.83536i 1.55018 + 0.455173i 0.941154 0.337978i \(-0.109743\pi\)
0.609024 + 0.793152i \(0.291561\pi\)
\(72\) −2.40189 + 0.171787i −0.283066 + 0.0202453i
\(73\) −3.75133 + 0.816052i −0.439060 + 0.0955117i −0.426661 0.904411i \(-0.640310\pi\)
−0.0123987 + 0.999923i \(0.503947\pi\)
\(74\) 1.13580 7.89967i 0.132034 0.918318i
\(75\) 0.895532 3.74130i 0.103407 0.432008i
\(76\) −0.675225 + 0.308365i −0.0774536 + 0.0353719i
\(77\) 0.00638885 0.0893278i 0.000728077 0.0101798i
\(78\) 1.19581 + 0.895169i 0.135398 + 0.101358i
\(79\) 0.561663 1.22987i 0.0631920 0.138371i −0.875401 0.483397i \(-0.839403\pi\)
0.938593 + 0.345026i \(0.112130\pi\)
\(80\) −0.607687 2.15191i −0.0679414 0.240591i
\(81\) 3.85973 1.13332i 0.428859 0.125924i
\(82\) −4.43532 + 1.65429i −0.489800 + 0.182686i
\(83\) −6.52994 + 8.72298i −0.716754 + 0.957472i −0.999999 0.00157614i \(-0.999498\pi\)
0.283245 + 0.959048i \(0.408589\pi\)
\(84\) −0.260559 0.300701i −0.0284293 0.0328091i
\(85\) −0.0299893 + 0.0779263i −0.00325279 + 0.00845229i
\(86\) −3.53714 5.50389i −0.381419 0.593500i
\(87\) −1.71917 + 1.28695i −0.184314 + 0.137976i
\(88\) −0.0368113 0.169219i −0.00392410 0.0180388i
\(89\) 0.385607 0.445015i 0.0408743 0.0471715i −0.734944 0.678127i \(-0.762792\pi\)
0.775819 + 0.630956i \(0.217337\pi\)
\(90\) 2.53137 + 4.75238i 0.266830 + 0.500945i
\(91\) 1.00400i 0.105247i
\(92\) 1.40789 4.58452i 0.146782 0.477970i
\(93\) −1.55309 + 1.55309i −0.161048 + 0.161048i
\(94\) 2.20896 7.52302i 0.227837 0.775940i
\(95\) 1.24309 + 1.09992i 0.127538 + 0.112849i
\(96\) −0.647258 0.415968i −0.0660605 0.0424545i
\(97\) 3.69871 + 4.94090i 0.375547 + 0.501672i 0.948002 0.318264i \(-0.103100\pi\)
−0.572455 + 0.819936i \(0.694009\pi\)
\(98\) 1.43111 6.57871i 0.144564 0.664550i
\(99\) 0.173234 + 0.379329i 0.0174106 + 0.0381240i
\(100\) −3.84585 + 3.19522i −0.384585 + 0.319522i
\(101\) 2.43762 + 16.9540i 0.242552 + 1.68699i 0.639218 + 0.769025i \(0.279258\pi\)
−0.396666 + 0.917963i \(0.629833\pi\)
\(102\) 0.0100402 + 0.0269188i 0.000994129 + 0.00266536i
\(103\) −16.8086 9.17821i −1.65620 0.904356i −0.986894 0.161372i \(-0.948408\pi\)
−0.669310 0.742983i \(-0.733410\pi\)
\(104\) −0.546970 1.86281i −0.0536348 0.182663i
\(105\) −0.377967 + 0.805419i −0.0368858 + 0.0786008i
\(106\) −1.35058 + 0.194184i −0.131180 + 0.0188608i
\(107\) 10.3881 + 0.742969i 1.00425 + 0.0718255i 0.563766 0.825934i \(-0.309352\pi\)
0.440485 + 0.897760i \(0.354806\pi\)
\(108\) 3.89858 + 1.45409i 0.375141 + 0.139920i
\(109\) −12.3070 + 7.90920i −1.17879 + 0.757564i −0.975164 0.221484i \(-0.928910\pi\)
−0.203629 + 0.979048i \(0.565274\pi\)
\(110\) −0.312387 + 0.228833i −0.0297850 + 0.0218184i
\(111\) −3.31980 + 5.16571i −0.315101 + 0.490307i
\(112\) 0.0368921 + 0.515820i 0.00348598 + 0.0487404i
\(113\) 6.70879 + 12.2862i 0.631109 + 1.15579i 0.976128 + 0.217195i \(0.0696907\pi\)
−0.345019 + 0.938596i \(0.612127\pi\)
\(114\) 0.571128 0.0534911
\(115\) −10.6466 + 1.28455i −0.992800 + 0.119785i
\(116\) 2.79115 0.259152
\(117\) 2.24052 + 4.10321i 0.207136 + 0.379341i
\(118\) 0.166587 + 2.32919i 0.0153355 + 0.214419i
\(119\) 0.0104401 0.0162451i 0.000957041 0.00148918i
\(120\) −0.262491 + 1.70028i −0.0239620 + 0.155214i
\(121\) 9.22856 5.93084i 0.838960 0.539167i
\(122\) 7.80466 + 2.91099i 0.706600 + 0.263548i
\(123\) 3.63289 + 0.259829i 0.327566 + 0.0234280i
\(124\) 2.82564 0.406266i 0.253750 0.0364837i
\(125\) 10.0206 + 4.95863i 0.896268 + 0.443513i
\(126\) −0.350836 1.19484i −0.0312550 0.106445i
\(127\) 8.71683 + 4.75975i 0.773494 + 0.422359i 0.816959 0.576696i \(-0.195658\pi\)
−0.0434657 + 0.999055i \(0.513840\pi\)
\(128\) 0.349464 + 0.936950i 0.0308886 + 0.0828154i
\(129\) 0.716381 + 4.98254i 0.0630738 + 0.438688i
\(130\) −3.31018 + 2.80871i −0.290322 + 0.246340i
\(131\) 3.81773 + 8.35966i 0.333556 + 0.730387i 0.999883 0.0152731i \(-0.00486175\pi\)
−0.666327 + 0.745660i \(0.732134\pi\)
\(132\) −0.0283225 + 0.130197i −0.00246516 + 0.0113322i
\(133\) −0.230047 0.307307i −0.0199476 0.0266469i
\(134\) 0.448911 + 0.288498i 0.0387800 + 0.0249224i
\(135\) −0.567458 9.28679i −0.0488390 0.799279i
\(136\) 0.0105203 0.0358287i 0.000902105 0.00307229i
\(137\) 6.09741 6.09741i 0.520937 0.520937i −0.396918 0.917854i \(-0.629920\pi\)
0.917854 + 0.396918i \(0.129920\pi\)
\(138\) −2.45064 + 2.75858i −0.208612 + 0.234826i
\(139\) 2.62456i 0.222612i −0.993786 0.111306i \(-0.964497\pi\)
0.993786 0.111306i \(-0.0355034\pi\)
\(140\) 1.02060 0.543625i 0.0862565 0.0459447i
\(141\) −3.95048 + 4.55910i −0.332691 + 0.383945i
\(142\) 2.89375 + 13.3024i 0.242838 + 1.11631i
\(143\) −0.269153 + 0.201485i −0.0225077 + 0.0168490i
\(144\) −1.30188 2.02576i −0.108490 0.168813i
\(145\) −2.53367 5.70378i −0.210410 0.473673i
\(146\) −2.51405 2.90137i −0.208065 0.240119i
\(147\) −3.10427 + 4.14682i −0.256036 + 0.342024i
\(148\) 7.47770 2.78904i 0.614663 0.229258i
\(149\) −6.69926 + 1.96708i −0.548825 + 0.161150i −0.544377 0.838841i \(-0.683234\pi\)
−0.00444786 + 0.999990i \(0.501416\pi\)
\(150\) 3.71284 1.00703i 0.303152 0.0822233i
\(151\) 8.79777 19.2644i 0.715952 1.56772i −0.103539 0.994625i \(-0.533017\pi\)
0.819491 0.573091i \(-0.194256\pi\)
\(152\) −0.594246 0.444847i −0.0481997 0.0360819i
\(153\) −0.00641474 + 0.0896897i −0.000518601 + 0.00725099i
\(154\) 0.0814630 0.0372029i 0.00656447 0.00299790i
\(155\) −3.39519 5.40547i −0.272708 0.434178i
\(156\) −0.212582 + 1.47854i −0.0170202 + 0.118378i
\(157\) −9.29348 + 2.02167i −0.741700 + 0.161347i −0.567512 0.823365i \(-0.692094\pi\)
−0.174189 + 0.984712i \(0.555730\pi\)
\(158\) 1.34861 0.0964543i 0.107289 0.00767349i
\(159\) 1.00729 + 0.295767i 0.0798833 + 0.0234559i
\(160\) 1.59745 1.56465i 0.126290 0.123697i
\(161\) 2.47141 + 0.207476i 0.194774 + 0.0163514i
\(162\) 2.84446 + 2.84446i 0.223482 + 0.223482i
\(163\) 4.95347 2.70480i 0.387986 0.211856i −0.273403 0.961900i \(-0.588149\pi\)
0.661389 + 0.750043i \(0.269967\pi\)
\(164\) −3.57756 3.09997i −0.279361 0.242067i
\(165\) 0.291770 0.0603082i 0.0227142 0.00469499i
\(166\) −10.7854 1.55071i −0.837113 0.120359i
\(167\) 1.01960 + 0.221800i 0.0788990 + 0.0171634i 0.251841 0.967768i \(-0.418964\pi\)
−0.172942 + 0.984932i \(0.555327\pi\)
\(168\) 0.139046 0.372797i 0.0107276 0.0287619i
\(169\) 6.97615 6.04487i 0.536627 0.464990i
\(170\) −0.0827666 + 0.0110251i −0.00634791 + 0.000845588i
\(171\) 1.62596 + 0.742551i 0.124340 + 0.0567843i
\(172\) 3.13548 5.74220i 0.239078 0.437839i
\(173\) 8.66522 15.8692i 0.658804 1.20651i −0.308096 0.951355i \(-0.599692\pi\)
0.966900 0.255155i \(-0.0821264\pi\)
\(174\) −1.95344 0.892105i −0.148090 0.0676303i
\(175\) −2.03736 1.59215i −0.154010 0.120355i
\(176\) 0.130878 0.113406i 0.00986530 0.00854833i
\(177\) 0.627864 1.68337i 0.0471931 0.126530i
\(178\) 0.575382 + 0.125167i 0.0431267 + 0.00938164i
\(179\) 5.89824 + 0.848038i 0.440855 + 0.0633854i 0.359168 0.933273i \(-0.383060\pi\)
0.0816863 + 0.996658i \(0.473969\pi\)
\(180\) −2.95791 + 4.49930i −0.220470 + 0.335358i
\(181\) −6.88239 5.96362i −0.511564 0.443273i 0.360432 0.932785i \(-0.382629\pi\)
−0.871996 + 0.489513i \(0.837175\pi\)
\(182\) 0.881186 0.481164i 0.0653179 0.0356662i
\(183\) −4.53183 4.53183i −0.335002 0.335002i
\(184\) 4.69847 0.961456i 0.346376 0.0708795i
\(185\) −12.4874 12.7491i −0.918089 0.937334i
\(186\) −2.10743 0.618796i −0.154524 0.0453723i
\(187\) −0.00645016 0.000461324i −0.000471682 3.37354e-5i
\(188\) 7.66144 1.66664i 0.558768 0.121552i
\(189\) −0.306229 + 2.12987i −0.0222748 + 0.154925i
\(190\) −0.369629 + 1.61817i −0.0268157 + 0.117394i
\(191\) −20.4922 + 9.35849i −1.48277 + 0.677157i −0.982079 0.188472i \(-0.939647\pi\)
−0.500687 + 0.865628i \(0.666919\pi\)
\(192\) 0.0548882 0.767437i 0.00396121 0.0553850i
\(193\) 12.5711 + 9.41058i 0.904885 + 0.677388i 0.946831 0.321732i \(-0.104265\pi\)
−0.0419461 + 0.999120i \(0.513356\pi\)
\(194\) −2.56392 + 5.61420i −0.184079 + 0.403076i
\(195\) 3.21441 0.907730i 0.230189 0.0650039i
\(196\) 6.45985 1.89678i 0.461418 0.135485i
\(197\) 5.24165 1.95503i 0.373452 0.139290i −0.155728 0.987800i \(-0.549772\pi\)
0.529180 + 0.848510i \(0.322500\pi\)
\(198\) −0.249907 + 0.333837i −0.0177601 + 0.0237247i
\(199\) −1.40259 1.61867i −0.0994267 0.114744i 0.703855 0.710343i \(-0.251460\pi\)
−0.803282 + 0.595599i \(0.796915\pi\)
\(200\) −4.64750 1.84412i −0.328628 0.130399i
\(201\) −0.221969 0.345391i −0.0156565 0.0243620i
\(202\) −13.7120 + 10.2646i −0.964770 + 0.722218i
\(203\) 0.306818 + 1.41042i 0.0215344 + 0.0989921i
\(204\) −0.0188143 + 0.0217129i −0.00131727 + 0.00152021i
\(205\) −3.08734 + 10.1248i −0.215629 + 0.707149i
\(206\) 19.1512i 1.33433i
\(207\) −10.5633 + 4.66728i −0.734203 + 0.324398i
\(208\) 1.37281 1.37281i 0.0951874 0.0951874i
\(209\) −0.0362167 + 0.123343i −0.00250516 + 0.00853179i
\(210\) −0.888040 + 0.0542626i −0.0612806 + 0.00374447i
\(211\) −8.42811 5.41642i −0.580215 0.372882i 0.217369 0.976090i \(-0.430253\pi\)
−0.797584 + 0.603208i \(0.793889\pi\)
\(212\) −0.817693 1.09231i −0.0561594 0.0750202i
\(213\) 2.22645 10.2348i 0.152554 0.701277i
\(214\) 4.32638 + 9.47345i 0.295745 + 0.647592i
\(215\) −14.5806 1.19494i −0.994386 0.0814944i
\(216\) 0.592161 + 4.11857i 0.0402915 + 0.280233i
\(217\) 0.515903 + 1.38319i 0.0350218 + 0.0938971i
\(218\) −12.8398 7.01108i −0.869624 0.474851i
\(219\) 0.832173 + 2.83412i 0.0562330 + 0.191512i
\(220\) −0.350553 0.164508i −0.0236343 0.0110911i
\(221\) −0.0717583 + 0.0103173i −0.00482699 + 0.000694016i
\(222\) −6.12484 0.438057i −0.411072 0.0294005i
\(223\) 13.3484 + 4.97871i 0.893878 + 0.333399i 0.754081 0.656781i \(-0.228082\pi\)
0.139796 + 0.990180i \(0.455355\pi\)
\(224\) −0.435043 + 0.279585i −0.0290676 + 0.0186806i
\(225\) 11.8795 + 1.96032i 0.791965 + 0.130688i
\(226\) −7.56818 + 11.7763i −0.503428 + 0.783349i
\(227\) −0.489586 6.84531i −0.0324950 0.454339i −0.987486 0.157705i \(-0.949590\pi\)
0.954991 0.296634i \(-0.0958641\pi\)
\(228\) 0.273713 + 0.501267i 0.0181271 + 0.0331972i
\(229\) −19.4811 −1.28735 −0.643673 0.765300i \(-0.722590\pi\)
−0.643673 + 0.765300i \(0.722590\pi\)
\(230\) −6.22979 8.72867i −0.410780 0.575551i
\(231\) −0.0689042 −0.00453356
\(232\) 1.33766 + 2.44973i 0.0878214 + 0.160833i
\(233\) 1.33177 + 18.6206i 0.0872474 + 1.21988i 0.832855 + 0.553492i \(0.186705\pi\)
−0.745607 + 0.666386i \(0.767840\pi\)
\(234\) −2.52753 + 3.93291i −0.165230 + 0.257103i
\(235\) −10.3605 14.1434i −0.675844 0.922616i
\(236\) −1.96444 + 1.26247i −0.127874 + 0.0821798i
\(237\) −0.974676 0.363535i −0.0633120 0.0236142i
\(238\) 0.0192614 + 0.00137760i 0.00124853 + 8.92966e-5i
\(239\) 18.3752 2.64195i 1.18859 0.170893i 0.480487 0.877002i \(-0.340460\pi\)
0.708104 + 0.706109i \(0.249551\pi\)
\(240\) −1.61810 + 0.584476i −0.104448 + 0.0377278i
\(241\) −6.70519 22.8358i −0.431919 1.47098i −0.832141 0.554564i \(-0.812885\pi\)
0.400222 0.916418i \(-0.368933\pi\)
\(242\) 9.62815 + 5.25737i 0.618921 + 0.337956i
\(243\) −5.44389 14.5956i −0.349225 0.936310i
\(244\) 1.18546 + 8.24507i 0.0758914 + 0.527837i
\(245\) −9.74006 11.4791i −0.622269 0.733370i
\(246\) 1.51301 + 3.31303i 0.0964660 + 0.211231i
\(247\) −0.306338 + 1.40821i −0.0194918 + 0.0896025i
\(248\) 1.71076 + 2.28530i 0.108633 + 0.145117i
\(249\) 7.05276 + 4.53253i 0.446950 + 0.287238i
\(250\) 0.450267 + 11.1713i 0.0284774 + 0.706533i
\(251\) −4.86667 + 16.5744i −0.307182 + 1.04616i 0.650780 + 0.759267i \(0.274442\pi\)
−0.957961 + 0.286898i \(0.907376\pi\)
\(252\) 0.880546 0.880546i 0.0554692 0.0554692i
\(253\) −0.440350 0.704176i −0.0276846 0.0442712i
\(254\) 9.93168i 0.623169i
\(255\) 0.0614496 + 0.0187377i 0.00384812 + 0.00117340i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −5.52430 25.3948i −0.344596 1.58408i −0.744562 0.667553i \(-0.767342\pi\)
0.399966 0.916530i \(-0.369022\pi\)
\(258\) −4.02974 + 3.01663i −0.250881 + 0.187807i
\(259\) 2.23134 + 3.47204i 0.138649 + 0.215742i
\(260\) −4.05154 1.55920i −0.251266 0.0966977i
\(261\) −4.40143 5.07952i −0.272442 0.314414i
\(262\) −5.50745 + 7.35710i −0.340252 + 0.454523i
\(263\) 22.3229 8.32601i 1.37649 0.513404i 0.451117 0.892465i \(-0.351026\pi\)
0.925372 + 0.379061i \(0.123753\pi\)
\(264\) −0.127844 + 0.0375385i −0.00786827 + 0.00231033i
\(265\) −1.48990 + 2.66252i −0.0915239 + 0.163557i
\(266\) 0.159467 0.349184i 0.00977755 0.0214098i
\(267\) −0.362686 0.271503i −0.0221960 0.0166157i
\(268\) −0.0380681 + 0.532262i −0.00232538 + 0.0325131i
\(269\) −15.5683 + 7.10978i −0.949213 + 0.433491i −0.828995 0.559256i \(-0.811087\pi\)
−0.120218 + 0.992747i \(0.538359\pi\)
\(270\) 7.87886 4.94873i 0.479492 0.301170i
\(271\) −2.27405 + 15.8163i −0.138139 + 0.960774i 0.796364 + 0.604818i \(0.206754\pi\)
−0.934502 + 0.355957i \(0.884155\pi\)
\(272\) 0.0364879 0.00793746i 0.00221241 0.000481279i
\(273\) −0.770504 + 0.0551075i −0.0466330 + 0.00333526i
\(274\) 8.27374 + 2.42939i 0.499835 + 0.146765i
\(275\) −0.0179605 + 0.865696i −0.00108306 + 0.0522034i
\(276\) −3.59561 0.828828i −0.216430 0.0498896i
\(277\) −6.17463 6.17463i −0.370998 0.370998i 0.496843 0.867841i \(-0.334493\pi\)
−0.867841 + 0.496843i \(0.834493\pi\)
\(278\) 2.30352 1.25782i 0.138156 0.0754388i
\(279\) −5.19516 4.50163i −0.311026 0.269506i
\(280\) 0.966250 + 0.635228i 0.0577445 + 0.0379621i
\(281\) −17.5108 2.51767i −1.04460 0.150191i −0.401413 0.915897i \(-0.631481\pi\)
−0.643191 + 0.765706i \(0.722390\pi\)
\(282\) −5.89469 1.28231i −0.351024 0.0763605i
\(283\) 2.23277 5.98628i 0.132724 0.355848i −0.853539 0.521029i \(-0.825548\pi\)
0.986263 + 0.165182i \(0.0528210\pi\)
\(284\) −10.2884 + 8.91493i −0.610503 + 0.529004i
\(285\) 0.775889 1.01436i 0.0459597 0.0600857i
\(286\) −0.305830 0.139668i −0.0180841 0.00825875i
\(287\) 1.17321 2.14857i 0.0692524 0.126826i
\(288\) 1.15404 2.11348i 0.0680027 0.124538i
\(289\) 15.4625 + 7.06148i 0.909557 + 0.415381i
\(290\) 3.79183 4.95728i 0.222664 0.291101i
\(291\) 3.58881 3.10972i 0.210380 0.182295i
\(292\) 1.34162 3.59701i 0.0785121 0.210499i
\(293\) −0.633795 0.137874i −0.0370267 0.00805467i 0.194014 0.980999i \(-0.437849\pi\)
−0.231040 + 0.972944i \(0.574213\pi\)
\(294\) −5.12730 0.737194i −0.299030 0.0429940i
\(295\) 4.36311 + 2.86838i 0.254030 + 0.167003i
\(296\) 6.03156 + 5.22638i 0.350577 + 0.303777i
\(297\) 0.632433 0.345334i 0.0366975 0.0200383i
\(298\) −4.93708 4.93708i −0.285997 0.285997i
\(299\) −5.48729 7.52210i −0.317338 0.435014i
\(300\) 2.66322 + 2.77607i 0.153761 + 0.160276i
\(301\) 3.24631 + 0.953203i 0.187114 + 0.0549417i
\(302\) 21.1243 1.51084i 1.21557 0.0869391i
\(303\) 12.8774 2.80130i 0.739785 0.160930i
\(304\) 0.105641 0.734750i 0.00605893 0.0421408i
\(305\) 15.7729 9.90698i 0.903153 0.567272i
\(306\) −0.0817931 + 0.0373536i −0.00467580 + 0.00213537i
\(307\) −1.30911 + 18.3038i −0.0747150 + 1.04465i 0.812399 + 0.583102i \(0.198161\pi\)
−0.887114 + 0.461550i \(0.847293\pi\)
\(308\) 0.0716933 + 0.0536689i 0.00408510 + 0.00305807i
\(309\) −6.12110 + 13.4033i −0.348217 + 0.762490i
\(310\) 3.11713 5.57045i 0.177041 0.316380i
\(311\) 13.5307 3.97298i 0.767258 0.225287i 0.125395 0.992107i \(-0.459980\pi\)
0.641863 + 0.766820i \(0.278162\pi\)
\(312\) −1.39957 + 0.522011i −0.0792348 + 0.0295530i
\(313\) 16.8674 22.5322i 0.953400 1.27359i −0.00843540 0.999964i \(-0.502685\pi\)
0.961835 0.273629i \(-0.0882240\pi\)
\(314\) −6.22827 7.18781i −0.351482 0.405631i
\(315\) −2.59873 1.00010i −0.146422 0.0563493i
\(316\) 0.730974 + 1.13742i 0.0411205 + 0.0639848i
\(317\) −4.18985 + 3.13648i −0.235325 + 0.176162i −0.710432 0.703766i \(-0.751500\pi\)
0.475107 + 0.879928i \(0.342409\pi\)
\(318\) 0.223154 + 1.02582i 0.0125139 + 0.0575254i
\(319\) 0.316534 0.365300i 0.0177225 0.0204529i
\(320\) 2.13884 + 0.652192i 0.119565 + 0.0364586i
\(321\) 8.01297i 0.447240i
\(322\) 1.00232 + 2.26854i 0.0558573 + 0.126421i
\(323\) −0.0196000 + 0.0196000i −0.00109058 + 0.00109058i
\(324\) −1.13332 + 3.85973i −0.0629622 + 0.214430i
\(325\) 0.491520 + 9.69480i 0.0272646 + 0.537771i
\(326\) 4.74789 + 3.05129i 0.262961 + 0.168995i
\(327\) 6.74532 + 9.01070i 0.373017 + 0.498293i
\(328\) 1.00624 4.62561i 0.0555603 0.255407i
\(329\) 1.68437 + 3.68826i 0.0928625 + 0.203340i
\(330\) 0.192761 + 0.227177i 0.0106112 + 0.0125057i
\(331\) 2.84927 + 19.8171i 0.156610 + 1.08925i 0.904823 + 0.425788i \(0.140003\pi\)
−0.748213 + 0.663458i \(0.769088\pi\)
\(332\) −3.80789 10.2093i −0.208985 0.560310i
\(333\) −16.8674 9.21032i −0.924330 0.504722i
\(334\) 0.293973 + 1.00118i 0.0160855 + 0.0547821i
\(335\) 1.12225 0.405368i 0.0613149 0.0221476i
\(336\) 0.393834 0.0566248i 0.0214854 0.00308914i
\(337\) 31.4726 + 2.25096i 1.71442 + 0.122618i 0.893687 0.448691i \(-0.148110\pi\)
0.820735 + 0.571309i \(0.193564\pi\)
\(338\) 8.64877 + 3.22582i 0.470431 + 0.175462i
\(339\) 9.06067 5.82294i 0.492108 0.316259i
\(340\) −0.0493423 0.0673587i −0.00267596 0.00365304i
\(341\) 0.267274 0.415887i 0.0144737 0.0225216i
\(342\) 0.127518 + 1.78294i 0.00689540 + 0.0964103i
\(343\) 3.40345 + 6.23294i 0.183769 + 0.336547i
\(344\) 6.54249 0.352747
\(345\) 1.57019 + 8.10008i 0.0845360 + 0.436094i
\(346\) 18.0808 0.972031
\(347\) 14.9988 + 27.4683i 0.805178 + 1.47457i 0.878750 + 0.477283i \(0.158378\pi\)
−0.0735719 + 0.997290i \(0.523440\pi\)
\(348\) −0.153201 2.14203i −0.00821245 0.114825i
\(349\) −10.0687 + 15.6672i −0.538966 + 0.838647i −0.998781 0.0493677i \(-0.984279\pi\)
0.459815 + 0.888015i \(0.347916\pi\)
\(350\) 0.420990 2.55118i 0.0225028 0.136367i
\(351\) 6.79583 4.36742i 0.362735 0.233115i
\(352\) 0.162258 + 0.0605190i 0.00864836 + 0.00322567i
\(353\) 4.72854 + 0.338192i 0.251675 + 0.0180001i 0.196607 0.980482i \(-0.437008\pi\)
0.0550681 + 0.998483i \(0.482462\pi\)
\(354\) 1.77836 0.255690i 0.0945188 0.0135897i
\(355\) 27.5571 + 12.9320i 1.46258 + 0.686360i
\(356\) 0.165895 + 0.564987i 0.00879242 + 0.0299442i
\(357\) −0.0130401 0.00712044i −0.000690156 0.000376854i
\(358\) 2.08242 + 5.58318i 0.110059 + 0.295080i
\(359\) 5.14292 + 35.7698i 0.271433 + 1.88786i 0.433620 + 0.901096i \(0.357236\pi\)
−0.162187 + 0.986760i \(0.551855\pi\)
\(360\) −5.36652 0.439811i −0.282840 0.0231801i
\(361\) −7.66398 16.7818i −0.403368 0.883252i
\(362\) 1.93577 8.89859i 0.101742 0.467699i
\(363\) −5.05808 6.75681i −0.265480 0.354640i
\(364\) 0.844615 + 0.542801i 0.0442699 + 0.0284505i
\(365\) −8.56843 + 0.523563i −0.448492 + 0.0274046i
\(366\) 1.80562 6.14936i 0.0943811 0.321432i
\(367\) −22.4658 + 22.4658i −1.17271 + 1.17271i −0.191143 + 0.981562i \(0.561219\pi\)
−0.981562 + 0.191143i \(0.938781\pi\)
\(368\) 3.09559 + 3.66297i 0.161369 + 0.190945i
\(369\) 11.3991i 0.593413i
\(370\) 5.20508 17.0699i 0.270599 0.887421i
\(371\) 0.462080 0.533268i 0.0239900 0.0276859i
\(372\) −0.466877 2.14620i −0.0242065 0.111275i
\(373\) −10.7748 + 8.06590i −0.557897 + 0.417637i −0.840668 0.541551i \(-0.817837\pi\)
0.282771 + 0.959187i \(0.408746\pi\)
\(374\) −0.00349613 0.00544008i −0.000180780 0.000281300i
\(375\) 3.25543 7.96234i 0.168109 0.411173i
\(376\) 5.13451 + 5.92554i 0.264792 + 0.305587i
\(377\) 3.24741 4.33803i 0.167250 0.223420i
\(378\) −2.01610 + 0.751966i −0.103697 + 0.0386769i
\(379\) 19.7329 5.79411i 1.01361 0.297624i 0.267582 0.963535i \(-0.413775\pi\)
0.746031 + 0.665912i \(0.231957\pi\)
\(380\) −1.59738 + 0.451089i −0.0819436 + 0.0231404i
\(381\) 3.17436 6.95087i 0.162627 0.356104i
\(382\) −18.0346 13.5006i −0.922732 0.690749i
\(383\) 0.168744 2.35935i 0.00862243 0.120557i −0.991318 0.131487i \(-0.958025\pi\)
0.999940 + 0.0109302i \(0.00347925\pi\)
\(384\) 0.699869 0.319619i 0.0357150 0.0163105i
\(385\) 0.0445941 0.195225i 0.00227273 0.00994958i
\(386\) −2.23480 + 15.5434i −0.113748 + 0.791137i
\(387\) −15.3944 + 3.34886i −0.782544 + 0.170232i
\(388\) −6.15622 + 0.440301i −0.312535 + 0.0223529i
\(389\) −35.8875 10.5375i −1.81957 0.534274i −0.820281 0.571960i \(-0.806183\pi\)
−0.999290 + 0.0376863i \(0.988001\pi\)
\(390\) 2.33720 + 2.38619i 0.118349 + 0.120829i
\(391\) −0.0105679 0.178770i −0.000534441 0.00904081i
\(392\) 4.76065 + 4.76065i 0.240449 + 0.240449i
\(393\) 6.20596 3.38871i 0.313049 0.170938i
\(394\) 4.22795 + 3.66354i 0.213001 + 0.184566i
\(395\) 1.66080 2.52625i 0.0835639 0.127110i
\(396\) −0.412769 0.0593472i −0.0207424 0.00298231i
\(397\) 3.99895 + 0.869918i 0.200701 + 0.0436599i 0.311792 0.950150i \(-0.399071\pi\)
−0.111091 + 0.993810i \(0.535434\pi\)
\(398\) 0.748485 2.00677i 0.0375182 0.100590i
\(399\) −0.223212 + 0.193414i −0.0111746 + 0.00968282i
\(400\) −0.608765 4.96280i −0.0304382 0.248140i
\(401\) 1.06811 + 0.487791i 0.0533391 + 0.0243591i 0.441906 0.897061i \(-0.354302\pi\)
−0.388567 + 0.921421i \(0.627030\pi\)
\(402\) 0.196764 0.360346i 0.00981370 0.0179724i
\(403\) 2.65612 4.86431i 0.132311 0.242309i
\(404\) −15.5805 7.11538i −0.775159 0.354003i
\(405\) 8.91622 1.18771i 0.443051 0.0590176i
\(406\) −1.09085 + 0.945231i −0.0541382 + 0.0469110i
\(407\) 0.482996 1.29496i 0.0239412 0.0641889i
\(408\) −0.0280737 0.00610706i −0.00138986 0.000302345i
\(409\) 16.1523 + 2.32235i 0.798679 + 0.114833i 0.529558 0.848274i \(-0.322358\pi\)
0.269121 + 0.963106i \(0.413267\pi\)
\(410\) −10.3660 + 2.14262i −0.511938 + 0.105817i
\(411\) −5.01405 4.34470i −0.247325 0.214308i
\(412\) 16.8086 9.17821i 0.828102 0.452178i
\(413\) −0.853892 0.853892i −0.0420173 0.0420173i
\(414\) −9.15884 7.03444i −0.450133 0.345724i
\(415\) −17.4064 + 17.0490i −0.854447 + 0.836904i
\(416\) 1.86281 + 0.546970i 0.0913316 + 0.0268174i
\(417\) −2.01418 + 0.144057i −0.0986349 + 0.00705451i
\(418\) −0.125612 + 0.0273252i −0.00614389 + 0.00133652i
\(419\) 1.08360 7.53661i 0.0529373 0.368187i −0.946083 0.323925i \(-0.894997\pi\)
0.999020 0.0442619i \(-0.0140936\pi\)
\(420\) −0.473217 0.753408i −0.0230906 0.0367626i
\(421\) −13.7612 + 6.28453i −0.670680 + 0.306289i −0.721496 0.692419i \(-0.756545\pi\)
0.0508158 + 0.998708i \(0.483818\pi\)
\(422\) 0.714713 9.99299i 0.0347917 0.486451i
\(423\) −15.1146 11.3146i −0.734895 0.550136i
\(424\) 0.566819 1.24116i 0.0275272 0.0602761i
\(425\) −0.0928586 + 0.161977i −0.00450431 + 0.00785704i
\(426\) 10.0499 2.95092i 0.486919 0.142972i
\(427\) −4.03608 + 1.50538i −0.195320 + 0.0728504i
\(428\) −6.24124 + 8.33731i −0.301681 + 0.402999i
\(429\) 0.169401 + 0.195499i 0.00817873 + 0.00943876i
\(430\) −5.93894 13.3697i −0.286401 0.644745i
\(431\) 11.7759 + 18.3237i 0.567227 + 0.882623i 0.999820 0.0189665i \(-0.00603759\pi\)
−0.432593 + 0.901589i \(0.642401\pi\)
\(432\) −3.33099 + 2.49355i −0.160262 + 0.119971i
\(433\) 5.05381 + 23.2320i 0.242871 + 1.11646i 0.923431 + 0.383765i \(0.125373\pi\)
−0.680560 + 0.732692i \(0.738263\pi\)
\(434\) −0.966751 + 1.11569i −0.0464055 + 0.0535548i
\(435\) −4.23823 + 2.25750i −0.203207 + 0.108239i
\(436\) 14.6293i 0.700617i
\(437\) −3.40312 1.04508i −0.162793 0.0499930i
\(438\) −2.08863 + 2.08863i −0.0997986 + 0.0997986i
\(439\) 11.2578 38.3406i 0.537306 1.82990i −0.0203028 0.999794i \(-0.506463\pi\)
0.557609 0.830104i \(-0.311719\pi\)
\(440\) −0.0236174 0.386513i −0.00112592 0.0184263i
\(441\) −13.6386 8.76498i −0.649456 0.417380i
\(442\) −0.0434454 0.0580362i −0.00206649 0.00276050i
\(443\) −5.79657 + 26.6464i −0.275403 + 1.26601i 0.606692 + 0.794937i \(0.292496\pi\)
−0.882095 + 0.471071i \(0.843868\pi\)
\(444\) −2.55085 5.58558i −0.121058 0.265080i
\(445\) 1.00397 0.851877i 0.0475929 0.0403828i
\(446\) 2.02752 + 14.1017i 0.0960057 + 0.667734i
\(447\) 1.87732 + 5.03330i 0.0887943 + 0.238067i
\(448\) −0.453880 0.247837i −0.0214438 0.0117092i
\(449\) −5.02183 17.1028i −0.236995 0.807130i −0.988993 0.147965i \(-0.952728\pi\)
0.751998 0.659166i \(-0.229090\pi\)
\(450\) 3.97270 + 11.3659i 0.187275 + 0.535791i
\(451\) −0.811437 + 0.116667i −0.0382091 + 0.00549364i
\(452\) −13.9629 0.998644i −0.656758 0.0469723i
\(453\) −15.2671 5.69435i −0.717312 0.267544i
\(454\) 5.77335 3.71031i 0.270957 0.174133i
\(455\) 0.342528 2.21872i 0.0160579 0.104015i
\(456\) −0.308775 + 0.480464i −0.0144597 + 0.0224998i
\(457\) −1.46234 20.4462i −0.0684055 0.956434i −0.909542 0.415611i \(-0.863568\pi\)
0.841137 0.540822i \(-0.181887\pi\)
\(458\) −9.33629 17.0981i −0.436256 0.798944i
\(459\) 0.155374 0.00725225
\(460\) 4.67535 9.65097i 0.217989 0.449979i
\(461\) −31.3469 −1.45997 −0.729985 0.683463i \(-0.760473\pi\)
−0.729985 + 0.683463i \(0.760473\pi\)
\(462\) −0.0330222 0.0604757i −0.00153633 0.00281359i
\(463\) 2.13022 + 29.7844i 0.0989999 + 1.38420i 0.767768 + 0.640728i \(0.221367\pi\)
−0.668768 + 0.743471i \(0.733178\pi\)
\(464\) −1.50901 + 2.34806i −0.0700540 + 0.109006i
\(465\) −3.96201 + 2.90229i −0.183734 + 0.134590i
\(466\) −15.7047 + 10.0928i −0.727505 + 0.467539i
\(467\) 20.1445 + 7.51351i 0.932177 + 0.347684i 0.769245 0.638953i \(-0.220632\pi\)
0.162931 + 0.986637i \(0.447905\pi\)
\(468\) −4.66315 0.333515i −0.215554 0.0154167i
\(469\) −0.273147 + 0.0392726i −0.0126127 + 0.00181344i
\(470\) 7.44814 15.8714i 0.343557 0.732094i
\(471\) 2.06161 + 7.02120i 0.0949939 + 0.323520i
\(472\) −2.04950 1.11911i −0.0943359 0.0515113i
\(473\) −0.395945 1.06157i −0.0182055 0.0488110i
\(474\) −0.148045 1.02968i −0.00679994 0.0472946i
\(475\) 2.37183 + 2.85480i 0.108827 + 0.130987i
\(476\) 0.00802190 + 0.0175655i 0.000367683 + 0.000805114i
\(477\) −0.698419 + 3.21058i −0.0319784 + 0.147002i
\(478\) 11.1251 + 14.8613i 0.508848 + 0.679742i
\(479\) 6.11879 + 3.93231i 0.279575 + 0.179672i 0.672912 0.739722i \(-0.265043\pi\)
−0.393337 + 0.919394i \(0.628680\pi\)
\(480\) −1.28846 1.14006i −0.0588097 0.0520366i
\(481\) 4.36531 14.8669i 0.199041 0.677871i
\(482\) 16.8290 16.8290i 0.766541 0.766541i
\(483\) 0.0235735 1.90804i 0.00107263 0.0868188i
\(484\) 10.9700i 0.498637i
\(485\) 6.48807 + 12.1807i 0.294608 + 0.553097i
\(486\) 10.2013 11.7729i 0.462740 0.534031i
\(487\) −4.34511 19.9741i −0.196896 0.905115i −0.964478 0.264164i \(-0.914904\pi\)
0.767582 0.640951i \(-0.221460\pi\)
\(488\) −6.66839 + 4.99190i −0.301864 + 0.225973i
\(489\) −2.34765 3.65302i −0.106164 0.165195i
\(490\) 5.40702 14.0500i 0.244264 0.634713i
\(491\) 1.30525 + 1.50634i 0.0589052 + 0.0679802i 0.784437 0.620208i \(-0.212952\pi\)
−0.725532 + 0.688188i \(0.758406\pi\)
\(492\) −2.18267 + 2.91570i −0.0984023 + 0.131450i
\(493\) 0.0976537 0.0364229i 0.00439810 0.00164041i
\(494\) −1.38277 + 0.406019i −0.0622139 + 0.0182676i
\(495\) 0.253414 + 0.897376i 0.0113901 + 0.0403340i
\(496\) −1.18588 + 2.59672i −0.0532477 + 0.116596i
\(497\) −5.63584 4.21893i −0.252802 0.189245i
\(498\) −0.598081 + 8.36227i −0.0268007 + 0.374722i
\(499\) 18.6776 8.52977i 0.836123 0.381845i 0.0491196 0.998793i \(-0.484358\pi\)
0.787004 + 0.616948i \(0.211631\pi\)
\(500\) −9.58900 + 5.74901i −0.428833 + 0.257104i
\(501\) 0.114254 0.794653i 0.00510449 0.0355025i
\(502\) −16.8793 + 3.67187i −0.753361 + 0.163884i
\(503\) −9.09393 + 0.650411i −0.405478 + 0.0290004i −0.272589 0.962131i \(-0.587880\pi\)
−0.132889 + 0.991131i \(0.542425\pi\)
\(504\) 1.19484 + 0.350836i 0.0532223 + 0.0156275i
\(505\) −0.397240 + 38.2981i −0.0176770 + 1.70424i
\(506\) 0.407003 0.723962i 0.0180935 0.0321840i
\(507\) −5.02197 5.02197i −0.223033 0.223033i
\(508\) −8.71683 + 4.75975i −0.386747 + 0.211180i
\(509\) −26.0404 22.5641i −1.15422 1.00014i −0.999927 0.0121121i \(-0.996145\pi\)
−0.154293 0.988025i \(-0.549310\pi\)
\(510\) 0.0130040 + 0.0629130i 0.000575826 + 0.00278583i
\(511\) 1.96512 + 0.282541i 0.0869316 + 0.0124989i
\(512\) −0.977147 0.212565i −0.0431842 0.00939415i
\(513\) 1.07938 2.89394i 0.0476559 0.127770i
\(514\) 19.6410 17.0190i 0.866325 0.750675i
\(515\) −34.0139 26.0173i −1.49883 1.14646i
\(516\) −4.57888 2.09110i −0.201574 0.0920558i
\(517\) 0.650729 1.19172i 0.0286190 0.0524119i
\(518\) −1.97797 + 3.62237i −0.0869069 + 0.159158i
\(519\) −12.6542 5.77898i −0.555458 0.253669i
\(520\) −0.573218 4.30320i −0.0251373 0.188708i
\(521\) 4.91330 4.25740i 0.215256 0.186520i −0.540558 0.841307i \(-0.681787\pi\)
0.755814 + 0.654786i \(0.227241\pi\)
\(522\) 2.34881 6.29739i 0.102804 0.275629i
\(523\) −3.44104 0.748553i −0.150466 0.0327319i 0.136701 0.990612i \(-0.456350\pi\)
−0.287167 + 0.957880i \(0.592714\pi\)
\(524\) −9.09661 1.30790i −0.397387 0.0571357i
\(525\) −1.11005 + 1.65094i −0.0484463 + 0.0720528i
\(526\) 18.0058 + 15.6021i 0.785090 + 0.680284i
\(527\) 0.0935588 0.0510870i 0.00407549 0.00222538i
\(528\) −0.0942160 0.0942160i −0.00410023 0.00410023i
\(529\) 19.6501 11.9529i 0.854354 0.519692i
\(530\) −3.05087 0.0316446i −0.132521 0.00137455i
\(531\) 5.39530 + 1.58420i 0.234136 + 0.0687485i
\(532\) 0.382896 0.0273852i 0.0166006 0.00118730i
\(533\) −8.98039 + 1.95356i −0.388984 + 0.0846182i
\(534\) 0.0644759 0.448440i 0.00279014 0.0194059i
\(535\) 22.7030 + 5.18592i 0.981536 + 0.224207i
\(536\) −0.485399 + 0.221675i −0.0209661 + 0.00957488i
\(537\) 0.327073 4.57307i 0.0141142 0.197343i
\(538\) −13.7012 10.2566i −0.590700 0.442192i
\(539\) 0.484342 1.06056i 0.0208621 0.0456816i
\(540\) 8.11933 + 4.54344i 0.349400 + 0.195519i
\(541\) −11.8212 + 3.47101i −0.508232 + 0.149231i −0.525788 0.850615i \(-0.676230\pi\)
0.0175560 + 0.999846i \(0.494411\pi\)
\(542\) −14.9715 + 5.58408i −0.643081 + 0.239857i
\(543\) −4.19894 + 5.60913i −0.180194 + 0.240711i
\(544\) 0.0244533 + 0.0282207i 0.00104843 + 0.00120995i
\(545\) −29.8954 + 13.2798i −1.28058 + 0.568842i
\(546\) −0.417630 0.649845i −0.0178729 0.0278108i
\(547\) 5.44291 4.07451i 0.232722 0.174214i −0.476552 0.879146i \(-0.658114\pi\)
0.709274 + 0.704933i \(0.249023\pi\)
\(548\) 1.83296 + 8.42597i 0.0783001 + 0.359940i
\(549\) 13.1355 15.1592i 0.560611 0.646980i
\(550\) −0.768411 + 0.399120i −0.0327651 + 0.0170186i
\(551\) 2.07189i 0.0882653i
\(552\) −0.995748 3.55301i −0.0423818 0.151226i
\(553\) −0.494406 + 0.494406i −0.0210243 + 0.0210243i
\(554\) 2.46016 8.37853i 0.104522 0.355970i
\(555\) −9.09874 + 10.2830i −0.386220 + 0.436491i
\(556\) 2.20792 + 1.41894i 0.0936365 + 0.0601766i
\(557\) 17.9930 + 24.0359i 0.762389 + 1.01843i 0.998904 + 0.0468044i \(0.0149037\pi\)
−0.236515 + 0.971628i \(0.576005\pi\)
\(558\) 1.46121 6.71709i 0.0618581 0.284357i
\(559\) −5.27656 11.5541i −0.223175 0.488685i
\(560\) −0.0944518 + 1.15249i −0.00399132 + 0.0487016i
\(561\) 0.000708075 0.00492477i 2.98949e−5 0.000207924i
\(562\) −6.18231 16.5754i −0.260785 0.699191i
\(563\) 10.6520 + 5.81643i 0.448928 + 0.245133i 0.687775 0.725924i \(-0.258588\pi\)
−0.238847 + 0.971057i \(0.576769\pi\)
\(564\) −1.69957 5.78819i −0.0715647 0.243727i
\(565\) 10.6340 + 29.4400i 0.447378 + 1.23855i
\(566\) 6.32409 0.909267i 0.265821 0.0382193i
\(567\) −2.07498 0.148405i −0.0871408 0.00623243i
\(568\) −12.7551 4.75742i −0.535194 0.199617i
\(569\) 5.81031 3.73406i 0.243581 0.156540i −0.413155 0.910661i \(-0.635573\pi\)
0.656736 + 0.754121i \(0.271937\pi\)
\(570\) 1.26213 + 0.194849i 0.0528648 + 0.00816131i
\(571\) 10.1711 15.8265i 0.425646 0.662319i −0.560508 0.828149i \(-0.689394\pi\)
0.986154 + 0.165830i \(0.0530305\pi\)
\(572\) −0.0239852 0.335357i −0.00100287 0.0140220i
\(573\) 8.30684 + 15.2128i 0.347023 + 0.635525i
\(574\) 2.44802 0.102178
\(575\) −23.9660 0.793520i −0.999452 0.0330921i
\(576\) 2.40803 0.100334
\(577\) 1.16180 + 2.12767i 0.0483662 + 0.0885760i 0.900744 0.434350i \(-0.143022\pi\)
−0.852378 + 0.522926i \(0.824840\pi\)
\(578\) 1.21267 + 16.9553i 0.0504403 + 0.705247i
\(579\) 6.53203 10.1640i 0.271462 0.422403i
\(580\) 6.16813 + 0.952241i 0.256118 + 0.0395397i
\(581\) 4.74039 3.04646i 0.196664 0.126389i
\(582\) 4.44927 + 1.65949i 0.184428 + 0.0687882i
\(583\) −0.235691 0.0168570i −0.00976133 0.000698144i
\(584\) 3.79999 0.546356i 0.157245 0.0226084i
\(585\) 3.55143 + 9.83201i 0.146834 + 0.406504i
\(586\) −0.182737 0.622345i −0.00754879 0.0257088i
\(587\) −26.6977 14.5781i −1.10193 0.601701i −0.177914 0.984046i \(-0.556935\pi\)
−0.924020 + 0.382345i \(0.875117\pi\)
\(588\) −1.81023 4.85342i −0.0746527 0.200152i
\(589\) −0.301573 2.09749i −0.0124261 0.0864255i
\(590\) −0.426497 + 5.20407i −0.0175586 + 0.214248i
\(591\) −1.78807 3.91533i −0.0735514 0.161055i
\(592\) −1.69646 + 7.79851i −0.0697242 + 0.320517i
\(593\) −12.4393 16.6169i −0.510819 0.682374i 0.468785 0.883312i \(-0.344692\pi\)
−0.979604 + 0.200938i \(0.935601\pi\)
\(594\) 0.606185 + 0.389572i 0.0248721 + 0.0159843i
\(595\) 0.0286137 0.0323380i 0.00117305 0.00132573i
\(596\) 1.96708 6.69926i 0.0805748 0.274413i
\(597\) −1.16524 + 1.16524i −0.0476902 + 0.0476902i
\(598\) 3.97221 8.42103i 0.162436 0.344362i
\(599\) 19.1370i 0.781918i −0.920408 0.390959i \(-0.872143\pi\)
0.920408 0.390959i \(-0.127857\pi\)
\(600\) −1.16015 + 3.66788i −0.0473630 + 0.149741i
\(601\) 18.9846 21.9093i 0.774396 0.893701i −0.222295 0.974979i \(-0.571355\pi\)
0.996691 + 0.0812787i \(0.0259004\pi\)
\(602\) 0.719186 + 3.30604i 0.0293118 + 0.134744i
\(603\) 1.02868 0.770057i 0.0418909 0.0313592i
\(604\) 11.4498 + 17.8163i 0.465887 + 0.724935i
\(605\) 22.4175 9.95803i 0.911400 0.404851i
\(606\) 8.63010 + 9.95966i 0.350574 + 0.404584i
\(607\) −5.56479 + 7.43369i −0.225868 + 0.301724i −0.899132 0.437678i \(-0.855801\pi\)
0.673264 + 0.739402i \(0.264892\pi\)
\(608\) 0.695503 0.259409i 0.0282064 0.0105204i
\(609\) 1.06557 0.312879i 0.0431790 0.0126785i
\(610\) 16.2543 + 9.09563i 0.658117 + 0.368271i
\(611\) 6.32352 13.8466i 0.255822 0.560172i
\(612\) −0.0719837 0.0538864i −0.00290977 0.00217823i
\(613\) 0.520083 7.27171i 0.0210060 0.293702i −0.976080 0.217413i \(-0.930238\pi\)
0.997086 0.0762890i \(-0.0243072\pi\)
\(614\) −16.6922 + 7.62309i −0.673644 + 0.307643i
\(615\) 7.93963 + 1.81361i 0.320157 + 0.0731316i
\(616\) −0.0127451 + 0.0886444i −0.000513517 + 0.00357159i
\(617\) −6.42199 + 1.39702i −0.258539 + 0.0562418i −0.339967 0.940437i \(-0.610416\pi\)
0.0814273 + 0.996679i \(0.474052\pi\)
\(618\) −14.6974 + 1.05118i −0.591215 + 0.0422845i
\(619\) −36.1629 10.6184i −1.45351 0.426790i −0.542810 0.839855i \(-0.682640\pi\)
−0.910701 + 0.413066i \(0.864458\pi\)
\(620\) 6.38295 + 0.0662060i 0.256345 + 0.00265890i
\(621\) 9.34636 + 17.6310i 0.375056 + 0.707506i
\(622\) 9.97160 + 9.97160i 0.399825 + 0.399825i
\(623\) −0.267262 + 0.145936i −0.0107076 + 0.00584681i
\(624\) −1.12890 0.978196i −0.0451921 0.0391592i
\(625\) 20.4527 + 14.3767i 0.818106 + 0.575067i
\(626\) 27.8597 + 4.00562i 1.11350 + 0.160097i
\(627\) 0.0966457 + 0.0210240i 0.00385966 + 0.000839617i
\(628\) 3.32370 8.91117i 0.132630 0.355594i
\(629\) 0.225226 0.195160i 0.00898036 0.00778153i
\(630\) −0.367672 2.76015i −0.0146484 0.109967i
\(631\) 1.54908 + 0.707443i 0.0616681 + 0.0281629i 0.446010 0.895028i \(-0.352844\pi\)
−0.384342 + 0.923191i \(0.625572\pi\)
\(632\) −0.647969 + 1.18667i −0.0257748 + 0.0472031i
\(633\) −3.69416 + 6.76534i −0.146830 + 0.268898i
\(634\) −4.76080 2.17419i −0.189076 0.0863479i
\(635\) 17.6394 + 13.4924i 0.699997 + 0.535429i
\(636\) −0.793398 + 0.687483i −0.0314603 + 0.0272605i
\(637\) 4.56783 12.2468i 0.180984 0.485237i
\(638\) 0.472315 + 0.102746i 0.0186991 + 0.00406775i
\(639\) 32.4479 + 4.66531i 1.28362 + 0.184557i
\(640\) 0.452623 + 2.18978i 0.0178915 + 0.0865586i
\(641\) −1.88752 1.63555i −0.0745526 0.0646002i 0.616787 0.787130i \(-0.288434\pi\)
−0.691340 + 0.722530i \(0.742979\pi\)
\(642\) 7.03281 3.84021i 0.277563 0.151561i
\(643\) 0.315723 + 0.315723i 0.0124509 + 0.0124509i 0.713305 0.700854i \(-0.247198\pi\)
−0.700854 + 0.713305i \(0.747198\pi\)
\(644\) −1.51068 + 1.96691i −0.0595293 + 0.0775072i
\(645\) −0.116743 + 11.2553i −0.00459675 + 0.443175i
\(646\) −0.0265959 0.00780925i −0.00104640 0.000307251i
\(647\) 16.5377 1.18280i 0.650164 0.0465006i 0.257638 0.966242i \(-0.417056\pi\)
0.392526 + 0.919741i \(0.371601\pi\)
\(648\) −3.93075 + 0.855082i −0.154414 + 0.0335908i
\(649\) −0.0575508 + 0.400274i −0.00225907 + 0.0157121i
\(650\) −8.27336 + 5.07762i −0.324508 + 0.199161i
\(651\) 1.03319 0.471844i 0.0404941 0.0184930i
\(652\) −0.402626 + 5.62945i −0.0157681 + 0.220466i
\(653\) −16.4318 12.3007i −0.643026 0.481364i 0.227309 0.973823i \(-0.427007\pi\)
−0.870336 + 0.492459i \(0.836098\pi\)
\(654\) −4.67581 + 10.2386i −0.182839 + 0.400361i
\(655\) 5.58473 + 19.7764i 0.218214 + 0.772727i
\(656\) 4.54204 1.33366i 0.177337 0.0520708i
\(657\) −8.66170 + 3.23065i −0.337925 + 0.126040i
\(658\) −2.42988 + 3.24593i −0.0947264 + 0.126540i
\(659\) 2.34169 + 2.70245i 0.0912192 + 0.105273i 0.799524 0.600634i \(-0.205085\pi\)
−0.708305 + 0.705907i \(0.750540\pi\)
\(660\) −0.107008 + 0.278057i −0.00416528 + 0.0108234i
\(661\) 9.84225 + 15.3148i 0.382819 + 0.595678i 0.978175 0.207784i \(-0.0666252\pi\)
−0.595356 + 0.803462i \(0.702989\pi\)
\(662\) −16.0275 + 11.9981i −0.622928 + 0.466318i
\(663\) 0.0118566 + 0.0545037i 0.000460470 + 0.00211675i
\(664\) 7.13559 8.23492i 0.276915 0.319577i
\(665\) −0.403536 0.757598i −0.0156485 0.0293784i
\(666\) 19.2182i 0.744691i
\(667\) 10.0073 + 8.89020i 0.387485 + 0.344230i
\(668\) −0.737828 + 0.737828i −0.0285474 + 0.0285474i
\(669\) 3.08818 10.5174i 0.119396 0.406625i
\(670\) 0.893619 + 0.790700i 0.0345235 + 0.0305474i
\(671\) 1.21354 + 0.779893i 0.0468481 + 0.0301074i
\(672\) 0.238443 + 0.318523i 0.00919814 + 0.0122873i
\(673\) −2.04272 + 9.39022i −0.0787410 + 0.361966i −0.999611 0.0279043i \(-0.991117\pi\)
0.920870 + 0.389871i \(0.127480\pi\)
\(674\) 13.1076 + 28.7016i 0.504885 + 1.10554i
\(675\) 1.91430 20.7164i 0.0736816 0.797373i
\(676\) 1.31368 + 9.13682i 0.0505260 + 0.351416i
\(677\) −12.9631 34.7554i −0.498212 1.33576i −0.906230 0.422785i \(-0.861053\pi\)
0.408018 0.912974i \(-0.366220\pi\)
\(678\) 9.45299 + 5.16172i 0.363040 + 0.198235i
\(679\) −0.899217 3.06245i −0.0345088 0.117526i
\(680\) 0.0354721 0.0755883i 0.00136029 0.00289868i
\(681\) −5.22647 + 0.751453i −0.200279 + 0.0287957i
\(682\) 0.493106 + 0.0352677i 0.0188820 + 0.00135047i
\(683\) 15.3842 + 5.73801i 0.588660 + 0.219559i 0.626104 0.779740i \(-0.284649\pi\)
−0.0374433 + 0.999299i \(0.511921\pi\)
\(684\) −1.50373 + 0.966391i −0.0574967 + 0.0369509i
\(685\) 15.5548 11.3944i 0.594319 0.435356i
\(686\) −3.83943 + 5.97426i −0.146590 + 0.228098i
\(687\) 1.06928 + 14.9505i 0.0407956 + 0.570398i
\(688\) 3.13548 + 5.74220i 0.119539 + 0.218919i
\(689\) −2.64904 −0.100920
\(690\) −6.35676 + 5.26008i −0.241998 + 0.200248i
\(691\) −0.841551 −0.0320141 −0.0160071 0.999872i \(-0.505095\pi\)
−0.0160071 + 0.999872i \(0.505095\pi\)
\(692\) 8.66522 + 15.8692i 0.329402 + 0.603255i
\(693\) −0.0153845 0.215104i −0.000584410 0.00817112i
\(694\) −16.9201 + 26.3283i −0.642280 + 0.999407i
\(695\) 0.895405 5.79998i 0.0339647 0.220006i
\(696\) 1.80660 1.16103i 0.0684788 0.0440087i
\(697\) −0.165621 0.0617733i −0.00627333 0.00233983i
\(698\) −18.5762 1.32860i −0.703120 0.0502881i
\(699\) 14.2171 2.04410i 0.537739 0.0773151i
\(700\) 2.44088 0.853158i 0.0922566 0.0322464i
\(701\) 4.79228 + 16.3210i 0.181002 + 0.616436i 0.999142 + 0.0414167i \(0.0131871\pi\)
−0.818140 + 0.575019i \(0.804995\pi\)
\(702\) 7.09009 + 3.87148i 0.267598 + 0.146120i
\(703\) −2.07032 5.55074i −0.0780836 0.209350i
\(704\) 0.0246456 + 0.171414i 0.000928865 + 0.00646040i
\(705\) −10.2855 + 8.72734i −0.387375 + 0.328691i
\(706\) 1.96932 + 4.31222i 0.0741164 + 0.162292i
\(707\) 1.88284 8.65529i 0.0708116 0.325516i
\(708\) 1.07669 + 1.43829i 0.0404645 + 0.0540543i
\(709\) 21.9678 + 14.1178i 0.825018 + 0.530207i 0.883691 0.468071i \(-0.155051\pi\)
−0.0586735 + 0.998277i \(0.518687\pi\)
\(710\) 1.85658 + 30.3840i 0.0696761 + 1.14029i
\(711\) 0.917258 3.12390i 0.0343999 0.117155i
\(712\) −0.416372 + 0.416372i −0.0156042 + 0.0156042i
\(713\) 11.4250 + 7.54344i 0.427869 + 0.282504i
\(714\) 0.0148575i 0.000556028i
\(715\) −0.663537 + 0.353434i −0.0248149 + 0.0132177i
\(716\) −3.90224 + 4.50343i −0.145834 + 0.168301i
\(717\) −3.03611 13.9568i −0.113386 0.521225i
\(718\) −28.9296 + 21.6565i −1.07964 + 0.808212i
\(719\) 15.7487 + 24.5055i 0.587328 + 0.913901i 0.999995 + 0.00301898i \(0.000960974\pi\)
−0.412667 + 0.910882i \(0.635403\pi\)
\(720\) −2.18589 4.92086i −0.0814632 0.183390i
\(721\) 6.48562 + 7.48480i 0.241537 + 0.278749i
\(722\) 11.0561 14.7692i 0.411464 0.549652i
\(723\) −17.1570 + 6.39923i −0.638076 + 0.237990i
\(724\) 8.73782 2.56566i 0.324739 0.0953518i
\(725\) −3.65319 13.4691i −0.135676 0.500230i
\(726\) 3.50623 7.67757i 0.130128 0.284941i
\(727\) −36.8464 27.5829i −1.36656 1.02299i −0.995538 0.0943667i \(-0.969917\pi\)
−0.371020 0.928625i \(-0.620992\pi\)
\(728\) −0.0716242 + 1.00144i −0.00265457 + 0.0371158i
\(729\) 0.0750512 0.0342747i 0.00277967 0.00126943i
\(730\) −4.56593 7.26942i −0.168993 0.269053i
\(731\) 0.0347682 0.241818i 0.00128595 0.00894397i
\(732\) 6.26251 1.36232i 0.231469 0.0503530i
\(733\) 13.1447 0.940124i 0.485509 0.0347243i 0.173560 0.984823i \(-0.444473\pi\)
0.311949 + 0.950099i \(0.399018\pi\)
\(734\) −30.4845 8.95105i −1.12520 0.330389i
\(735\) −8.27484 + 8.10495i −0.305222 + 0.298955i
\(736\) −1.73136 + 4.47241i −0.0638186 + 0.164855i
\(737\) 0.0653443 + 0.0653443i 0.00240699 + 0.00240699i
\(738\) −10.0047 + 5.46301i −0.368280 + 0.201096i
\(739\) −21.9426 19.0133i −0.807170 0.699417i 0.150081 0.988674i \(-0.452046\pi\)
−0.957252 + 0.289257i \(0.906592\pi\)
\(740\) 17.4764 3.61234i 0.642446 0.132792i
\(741\) 1.09753 + 0.157801i 0.0403188 + 0.00579697i
\(742\) 0.689490 + 0.149989i 0.0253120 + 0.00550628i
\(743\) −7.09036 + 19.0100i −0.260120 + 0.697409i 0.739584 + 0.673065i \(0.235022\pi\)
−0.999704 + 0.0243440i \(0.992250\pi\)
\(744\) 1.65993 1.43833i 0.0608558 0.0527319i
\(745\) −15.4757 + 2.06148i −0.566987 + 0.0755268i
\(746\) −12.2431 5.59122i −0.448251 0.204709i
\(747\) −12.5749 + 23.0292i −0.460091 + 0.842593i
\(748\) 0.00309913 0.00567563i 0.000113315 0.000207521i
\(749\) −4.89907 2.23733i −0.179008 0.0817503i
\(750\) 8.54853 0.958722i 0.312148 0.0350076i
\(751\) 16.3234 14.1443i 0.595651 0.516135i −0.304041 0.952659i \(-0.598336\pi\)
0.899693 + 0.436524i \(0.143791\pi\)
\(752\) −2.74002 + 7.34627i −0.0999181 + 0.267891i
\(753\) 12.9869 + 2.82513i 0.473269 + 0.102953i
\(754\) 5.36372 + 0.771187i 0.195335 + 0.0280850i
\(755\) 26.0144 39.5707i 0.946762 1.44013i
\(756\) −1.62620 1.40911i −0.0591442 0.0512488i
\(757\) 14.6666 8.00854i 0.533065 0.291075i −0.190084 0.981768i \(-0.560876\pi\)
0.723149 + 0.690692i \(0.242694\pi\)
\(758\) 14.5424 + 14.5424i 0.528202 + 0.528202i
\(759\) −0.516241 + 0.376592i −0.0187384 + 0.0136694i
\(760\) −1.16145 1.18580i −0.0421303 0.0430134i
\(761\) −29.3655 8.62248i −1.06450 0.312565i −0.297837 0.954617i \(-0.596265\pi\)
−0.766661 + 0.642052i \(0.778083\pi\)
\(762\) 7.62194 0.545132i 0.276114 0.0197481i
\(763\) 7.39247 1.60813i 0.267625 0.0582183i
\(764\) 3.20608 22.2987i 0.115992 0.806740i
\(765\) −0.0447748 + 0.196016i −0.00161884 + 0.00708697i
\(766\) 2.15162 0.982614i 0.0777413 0.0355033i
\(767\) −0.323420 + 4.52200i −0.0116780 + 0.163280i
\(768\) 0.615934 + 0.461083i 0.0222256 + 0.0166379i
\(769\) −16.3318 + 35.7616i −0.588939 + 1.28960i 0.347142 + 0.937812i \(0.387152\pi\)
−0.936081 + 0.351784i \(0.885575\pi\)
\(770\) 0.192716 0.0544220i 0.00694502 0.00196123i
\(771\) −19.1857 + 5.63343i −0.690956