Properties

Label 588.2.x.b.55.10
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.10
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.b.139.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.611563 - 1.27514i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.25198 + 1.55966i) q^{4} +(-0.776660 + 1.61275i) q^{5} +(0.00226428 - 1.41421i) q^{6} +(-0.448708 + 2.60742i) q^{7} +(2.75446 + 0.642622i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-0.611563 - 1.27514i) q^{2} +(0.900969 + 0.433884i) q^{3} +(-1.25198 + 1.55966i) q^{4} +(-0.776660 + 1.61275i) q^{5} +(0.00226428 - 1.41421i) q^{6} +(-0.448708 + 2.60742i) q^{7} +(2.75446 + 0.642622i) q^{8} +(0.623490 + 0.781831i) q^{9} +(2.53146 + 0.00405309i) q^{10} +(-3.75243 - 2.99247i) q^{11} +(-1.80471 + 0.861993i) q^{12} +(0.836410 + 0.667015i) q^{13} +(3.59925 - 1.02244i) q^{14} +(-1.39949 + 1.11606i) q^{15} +(-0.865091 - 3.90533i) q^{16} +(-5.54059 - 1.26460i) q^{17} +(0.615644 - 1.27318i) q^{18} -6.65670 q^{19} +(-1.54298 - 3.23046i) q^{20} +(-1.53559 + 2.15452i) q^{21} +(-1.52097 + 6.61497i) q^{22} +(-0.388300 + 0.0886269i) q^{23} +(2.20286 + 1.77410i) q^{24} +(1.11968 + 1.40404i) q^{25} +(0.339022 - 1.47446i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-3.50493 - 3.96428i) q^{28} +(-1.41231 + 6.18773i) q^{29} +(2.27901 + 1.10201i) q^{30} -1.92641 q^{31} +(-4.45080 + 3.49147i) q^{32} +(-2.08244 - 4.32424i) q^{33} +(1.77587 + 7.83843i) q^{34} +(-3.85663 - 2.74874i) q^{35} +(-1.99999 - 0.00640433i) q^{36} +(0.0915946 - 0.401302i) q^{37} +(4.07100 + 8.48825i) q^{38} +(0.464173 + 0.963864i) q^{39} +(-3.17567 + 3.94315i) q^{40} +(2.82082 - 5.85749i) q^{41} +(3.68643 + 0.640472i) q^{42} +(5.15543 + 10.7054i) q^{43} +(9.36521 - 2.10602i) q^{44} +(-1.74514 + 0.398317i) q^{45} +(0.350482 + 0.440937i) q^{46} +(1.04783 - 1.31394i) q^{47} +(0.915040 - 3.89393i) q^{48} +(-6.59732 - 2.33995i) q^{49} +(1.10559 - 2.28642i) q^{50} +(-4.44321 - 3.54334i) q^{51} +(-2.08749 + 0.469428i) q^{52} +(-0.839180 - 3.67669i) q^{53} +(1.10709 - 0.879976i) q^{54} +(7.74046 - 3.72761i) q^{55} +(-2.91154 + 6.89369i) q^{56} +(-5.99748 - 2.88824i) q^{57} +(8.75396 - 1.98329i) q^{58} +(7.27403 - 3.50299i) q^{59} +(0.0114639 - 3.58002i) q^{60} +(-2.37979 - 0.543171i) q^{61} +(1.17812 + 2.45644i) q^{62} +(-2.31833 + 1.27489i) q^{63} +(7.17407 + 3.54015i) q^{64} +(-1.72533 + 0.830877i) q^{65} +(-4.24048 + 5.29996i) q^{66} +10.8322i q^{67} +(8.90906 - 7.05818i) q^{68} +(-0.388300 - 0.0886269i) q^{69} +(-1.14646 + 6.59878i) q^{70} +(1.61420 - 0.368430i) q^{71} +(1.21495 + 2.55419i) q^{72} +(-7.88932 + 6.29152i) q^{73} +(-0.567734 + 0.128625i) q^{74} +(0.399611 + 1.75081i) q^{75} +(8.33406 - 10.3822i) q^{76} +(9.48637 - 8.44144i) q^{77} +(0.945194 - 1.18135i) q^{78} +7.64032i q^{79} +(6.97021 + 1.63794i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-9.19424 - 0.0147208i) q^{82} +(3.85571 + 4.83491i) q^{83} +(-1.43779 - 5.09242i) q^{84} +(6.34264 - 7.95342i) q^{85} +(10.4980 - 13.1209i) q^{86} +(-3.95720 + 4.96217i) q^{87} +(-8.41289 - 10.6540i) q^{88} +(6.71153 - 5.35227i) q^{89} +(1.57517 + 1.98171i) q^{90} +(-2.11449 + 1.88158i) q^{91} +(0.347916 - 0.716575i) q^{92} +(-1.73563 - 0.835836i) q^{93} +(-2.31627 - 0.532577i) q^{94} +(5.16999 - 10.7356i) q^{95} +(-5.52493 + 1.21458i) q^{96} -2.84644i q^{97} +(1.05092 + 9.84356i) q^{98} -4.79954i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.611563 1.27514i −0.432441 0.901662i
\(3\) 0.900969 + 0.433884i 0.520175 + 0.250503i
\(4\) −1.25198 + 1.55966i −0.625990 + 0.779831i
\(5\) −0.776660 + 1.61275i −0.347333 + 0.721244i −0.999316 0.0369897i \(-0.988223\pi\)
0.651983 + 0.758234i \(0.273937\pi\)
\(6\) 0.00226428 1.41421i 0.000924387 0.577350i
\(7\) −0.448708 + 2.60742i −0.169596 + 0.985514i
\(8\) 2.75446 + 0.642622i 0.973848 + 0.227201i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) 2.53146 + 0.00405309i 0.800519 + 0.00128170i
\(11\) −3.75243 2.99247i −1.13140 0.902262i −0.135328 0.990801i \(-0.543209\pi\)
−0.996073 + 0.0885386i \(0.971780\pi\)
\(12\) −1.80471 + 0.861993i −0.520974 + 0.248836i
\(13\) 0.836410 + 0.667015i 0.231978 + 0.184997i 0.732580 0.680681i \(-0.238316\pi\)
−0.500601 + 0.865678i \(0.666888\pi\)
\(14\) 3.59925 1.02244i 0.961941 0.273258i
\(15\) −1.39949 + 1.11606i −0.361347 + 0.288165i
\(16\) −0.865091 3.90533i −0.216273 0.976333i
\(17\) −5.54059 1.26460i −1.34379 0.306711i −0.510657 0.859785i \(-0.670598\pi\)
−0.833133 + 0.553073i \(0.813455\pi\)
\(18\) 0.615644 1.27318i 0.145109 0.300091i
\(19\) −6.65670 −1.52715 −0.763576 0.645718i \(-0.776558\pi\)
−0.763576 + 0.645718i \(0.776558\pi\)
\(20\) −1.54298 3.23046i −0.345021 0.722353i
\(21\) −1.53559 + 2.15452i −0.335093 + 0.470155i
\(22\) −1.52097 + 6.61497i −0.324272 + 1.41032i
\(23\) −0.388300 + 0.0886269i −0.0809661 + 0.0184800i −0.262812 0.964847i \(-0.584650\pi\)
0.181846 + 0.983327i \(0.441793\pi\)
\(24\) 2.20286 + 1.77410i 0.449656 + 0.362136i
\(25\) 1.11968 + 1.40404i 0.223937 + 0.280808i
\(26\) 0.339022 1.47446i 0.0664876 0.289166i
\(27\) 0.222521 + 0.974928i 0.0428242 + 0.187625i
\(28\) −3.50493 3.96428i −0.662369 0.749178i
\(29\) −1.41231 + 6.18773i −0.262259 + 1.14903i 0.656535 + 0.754296i \(0.272021\pi\)
−0.918794 + 0.394737i \(0.870836\pi\)
\(30\) 2.27901 + 1.10201i 0.416089 + 0.201199i
\(31\) −1.92641 −0.345993 −0.172996 0.984922i \(-0.555345\pi\)
−0.172996 + 0.984922i \(0.555345\pi\)
\(32\) −4.45080 + 3.49147i −0.786798 + 0.617211i
\(33\) −2.08244 4.32424i −0.362507 0.752753i
\(34\) 1.77587 + 7.83843i 0.304559 + 1.34428i
\(35\) −3.85663 2.74874i −0.651890 0.464621i
\(36\) −1.99999 0.00640433i −0.333332 0.00106739i
\(37\) 0.0915946 0.401302i 0.0150581 0.0659737i −0.966841 0.255380i \(-0.917799\pi\)
0.981899 + 0.189407i \(0.0606565\pi\)
\(38\) 4.07100 + 8.48825i 0.660403 + 1.37698i
\(39\) 0.464173 + 0.963864i 0.0743271 + 0.154342i
\(40\) −3.17567 + 3.94315i −0.502117 + 0.623468i
\(41\) 2.82082 5.85749i 0.440538 0.914786i −0.555963 0.831207i \(-0.687651\pi\)
0.996501 0.0835792i \(-0.0266352\pi\)
\(42\) 3.68643 + 0.640472i 0.568829 + 0.0988270i
\(43\) 5.15543 + 10.7054i 0.786196 + 1.63255i 0.774460 + 0.632623i \(0.218022\pi\)
0.0117361 + 0.999931i \(0.496264\pi\)
\(44\) 9.36521 2.10602i 1.41186 0.317494i
\(45\) −1.74514 + 0.398317i −0.260150 + 0.0593775i
\(46\) 0.350482 + 0.440937i 0.0516757 + 0.0650126i
\(47\) 1.04783 1.31394i 0.152842 0.191657i −0.699516 0.714617i \(-0.746601\pi\)
0.852357 + 0.522960i \(0.175172\pi\)
\(48\) 0.915040 3.89393i 0.132075 0.562041i
\(49\) −6.59732 2.33995i −0.942475 0.334278i
\(50\) 1.10559 2.28642i 0.156355 0.323348i
\(51\) −4.44321 3.54334i −0.622173 0.496167i
\(52\) −2.08749 + 0.469428i −0.289482 + 0.0650979i
\(53\) −0.839180 3.67669i −0.115270 0.505032i −0.999293 0.0375887i \(-0.988032\pi\)
0.884023 0.467443i \(-0.154825\pi\)
\(54\) 1.10709 0.879976i 0.150655 0.119750i
\(55\) 7.74046 3.72761i 1.04372 0.502631i
\(56\) −2.91154 + 6.89369i −0.389070 + 0.921208i
\(57\) −5.99748 2.88824i −0.794386 0.382556i
\(58\) 8.75396 1.98329i 1.14945 0.260419i
\(59\) 7.27403 3.50299i 0.946999 0.456050i 0.104366 0.994539i \(-0.466719\pi\)
0.842633 + 0.538489i \(0.181004\pi\)
\(60\) 0.0114639 3.58002i 0.00147998 0.462178i
\(61\) −2.37979 0.543171i −0.304700 0.0695459i 0.0674370 0.997724i \(-0.478518\pi\)
−0.372137 + 0.928178i \(0.621375\pi\)
\(62\) 1.17812 + 2.45644i 0.149621 + 0.311969i
\(63\) −2.31833 + 1.27489i −0.292082 + 0.160621i
\(64\) 7.17407 + 3.54015i 0.896759 + 0.442519i
\(65\) −1.72533 + 0.830877i −0.214001 + 0.103058i
\(66\) −4.24048 + 5.29996i −0.521967 + 0.652380i
\(67\) 10.8322i 1.32336i 0.749784 + 0.661682i \(0.230157\pi\)
−0.749784 + 0.661682i \(0.769843\pi\)
\(68\) 8.90906 7.05818i 1.08038 0.855930i
\(69\) −0.388300 0.0886269i −0.0467458 0.0106694i
\(70\) −1.14646 + 6.59878i −0.137028 + 0.788706i
\(71\) 1.61420 0.368430i 0.191570 0.0437246i −0.125659 0.992073i \(-0.540105\pi\)
0.317229 + 0.948349i \(0.397248\pi\)
\(72\) 1.21495 + 2.55419i 0.143184 + 0.301014i
\(73\) −7.88932 + 6.29152i −0.923375 + 0.736367i −0.964858 0.262772i \(-0.915363\pi\)
0.0414830 + 0.999139i \(0.486792\pi\)
\(74\) −0.567734 + 0.128625i −0.0659977 + 0.0149524i
\(75\) 0.399611 + 1.75081i 0.0461431 + 0.202166i
\(76\) 8.33406 10.3822i 0.955983 1.19092i
\(77\) 9.48637 8.44144i 1.08107 0.961991i
\(78\) 0.945194 1.18135i 0.107022 0.133762i
\(79\) 7.64032i 0.859603i 0.902923 + 0.429802i \(0.141417\pi\)
−0.902923 + 0.429802i \(0.858583\pi\)
\(80\) 6.97021 + 1.63794i 0.779293 + 0.183127i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −9.19424 0.0147208i −1.01533 0.00162564i
\(83\) 3.85571 + 4.83491i 0.423219 + 0.530700i 0.947034 0.321132i \(-0.104063\pi\)
−0.523815 + 0.851832i \(0.675492\pi\)
\(84\) −1.43779 5.09242i −0.156876 0.555629i
\(85\) 6.34264 7.95342i 0.687956 0.862669i
\(86\) 10.4980 13.1209i 1.13203 1.41487i
\(87\) −3.95720 + 4.96217i −0.424257 + 0.532001i
\(88\) −8.41289 10.6540i −0.896817 1.13572i
\(89\) 6.71153 5.35227i 0.711421 0.567339i −0.199511 0.979896i \(-0.563935\pi\)
0.910932 + 0.412556i \(0.135364\pi\)
\(90\) 1.57517 + 1.98171i 0.166038 + 0.208890i
\(91\) −2.11449 + 1.88158i −0.221659 + 0.197243i
\(92\) 0.347916 0.716575i 0.0362727 0.0747081i
\(93\) −1.73563 0.835836i −0.179977 0.0866722i
\(94\) −2.31627 0.532577i −0.238905 0.0549311i
\(95\) 5.16999 10.7356i 0.530430 1.10145i
\(96\) −5.52493 + 1.21458i −0.563885 + 0.123962i
\(97\) 2.84644i 0.289012i −0.989504 0.144506i \(-0.953841\pi\)
0.989504 0.144506i \(-0.0461593\pi\)
\(98\) 1.05092 + 9.84356i 0.106158 + 0.994349i
\(99\) 4.79954i 0.482372i
\(100\) −3.59165 0.0115011i −0.359165 0.00115011i
\(101\) −4.04205 + 8.39341i −0.402199 + 0.835176i 0.597252 + 0.802054i \(0.296259\pi\)
−0.999451 + 0.0331219i \(0.989455\pi\)
\(102\) −1.80096 + 7.83270i −0.178322 + 0.775553i
\(103\) 9.05209 + 4.35926i 0.891929 + 0.429530i 0.822967 0.568089i \(-0.192317\pi\)
0.0689617 + 0.997619i \(0.478031\pi\)
\(104\) 1.87522 + 2.37476i 0.183880 + 0.232864i
\(105\) −2.28207 4.14986i −0.222708 0.404984i
\(106\) −4.17509 + 3.31860i −0.405521 + 0.322331i
\(107\) −9.94318 + 7.92942i −0.961243 + 0.766566i −0.972388 0.233372i \(-0.925024\pi\)
0.0111442 + 0.999938i \(0.496453\pi\)
\(108\) −1.79915 0.873533i −0.173123 0.0840558i
\(109\) −1.64149 + 2.05836i −0.157226 + 0.197155i −0.854205 0.519936i \(-0.825956\pi\)
0.696979 + 0.717092i \(0.254527\pi\)
\(110\) −9.48702 7.59053i −0.904552 0.723729i
\(111\) 0.256642 0.321819i 0.0243594 0.0305457i
\(112\) 10.5710 0.503304i 0.998868 0.0475577i
\(113\) 4.35862 + 5.46553i 0.410024 + 0.514154i 0.943370 0.331743i \(-0.107637\pi\)
−0.533345 + 0.845898i \(0.679065\pi\)
\(114\) −0.0150726 + 9.41399i −0.00141168 + 0.881701i
\(115\) 0.158644 0.695063i 0.0147936 0.0648150i
\(116\) −7.88258 9.94964i −0.731880 0.923801i
\(117\) 1.06981i 0.0989039i
\(118\) −8.91535 7.13313i −0.820724 0.656658i
\(119\) 5.78346 13.8792i 0.530169 1.27231i
\(120\) −4.57205 + 2.17479i −0.417369 + 0.198530i
\(121\) 2.67817 + 11.7338i 0.243470 + 1.06671i
\(122\) 0.762770 + 3.36675i 0.0690579 + 0.304811i
\(123\) 5.08294 4.05351i 0.458313 0.365492i
\(124\) 2.41182 3.00454i 0.216588 0.269816i
\(125\) −11.8597 + 2.70689i −1.06076 + 0.242112i
\(126\) 3.04347 + 2.17653i 0.271134 + 0.193901i
\(127\) 17.3041 + 3.94954i 1.53549 + 0.350465i 0.904890 0.425645i \(-0.139953\pi\)
0.630598 + 0.776110i \(0.282810\pi\)
\(128\) 0.126797 11.3130i 0.0112074 0.999937i
\(129\) 11.8821i 1.04616i
\(130\) 2.11464 + 1.69191i 0.185466 + 0.148391i
\(131\) −14.5713 + 7.01715i −1.27310 + 0.613091i −0.943607 0.331068i \(-0.892591\pi\)
−0.329489 + 0.944159i \(0.606877\pi\)
\(132\) 9.35153 + 2.16595i 0.813946 + 0.188522i
\(133\) 2.98692 17.3569i 0.258999 1.50503i
\(134\) 13.8126 6.62458i 1.19323 0.572277i
\(135\) −1.74514 0.398317i −0.150198 0.0342816i
\(136\) −14.4486 7.04380i −1.23896 0.604001i
\(137\) −14.2547 + 6.86471i −1.21786 + 0.586492i −0.928716 0.370793i \(-0.879086\pi\)
−0.289147 + 0.957285i \(0.593372\pi\)
\(138\) 0.124458 + 0.549339i 0.0105946 + 0.0467628i
\(139\) −10.1118 4.86958i −0.857671 0.413033i −0.0472518 0.998883i \(-0.515046\pi\)
−0.810419 + 0.585850i \(0.800761\pi\)
\(140\) 9.11553 2.57368i 0.770403 0.217515i
\(141\) 1.51416 0.729180i 0.127515 0.0614080i
\(142\) −1.45698 1.83301i −0.122267 0.153823i
\(143\) −1.14255 5.00586i −0.0955452 0.418611i
\(144\) 2.51394 3.11129i 0.209495 0.259274i
\(145\) −8.88238 7.08346i −0.737642 0.588250i
\(146\) 12.8474 + 6.21235i 1.06326 + 0.514137i
\(147\) −4.92872 4.97069i −0.406514 0.409975i
\(148\) 0.511221 + 0.645279i 0.0420221 + 0.0530416i
\(149\) 8.30936 10.4196i 0.680730 0.853608i −0.314692 0.949194i \(-0.601901\pi\)
0.995421 + 0.0955861i \(0.0304725\pi\)
\(150\) 1.98815 1.58029i 0.162331 0.129030i
\(151\) 19.6481 4.48454i 1.59894 0.364947i 0.672114 0.740447i \(-0.265386\pi\)
0.926822 + 0.375501i \(0.122529\pi\)
\(152\) −18.3356 4.27774i −1.48721 0.346971i
\(153\) −2.46579 5.12027i −0.199348 0.413949i
\(154\) −16.5656 6.93401i −1.33489 0.558758i
\(155\) 1.49616 3.10681i 0.120175 0.249545i
\(156\) −2.08444 0.482787i −0.166889 0.0386539i
\(157\) −5.90200 12.2556i −0.471031 0.978105i −0.992201 0.124652i \(-0.960219\pi\)
0.521170 0.853453i \(-0.325496\pi\)
\(158\) 9.74250 4.67254i 0.775072 0.371727i
\(159\) 0.839180 3.67669i 0.0665513 0.291580i
\(160\) −2.17412 9.88972i −0.171879 0.781851i
\(161\) −0.0568546 1.05223i −0.00448077 0.0829273i
\(162\) 1.37926 0.312484i 0.108365 0.0245511i
\(163\) −7.11233 14.7689i −0.557081 1.15679i −0.969340 0.245724i \(-0.920974\pi\)
0.412259 0.911067i \(-0.364740\pi\)
\(164\) 5.60409 + 11.7330i 0.437606 + 0.916192i
\(165\) 8.59127 0.668829
\(166\) 3.80719 7.87343i 0.295495 0.611097i
\(167\) 3.47935 15.2440i 0.269240 1.17962i −0.641659 0.766990i \(-0.721754\pi\)
0.910899 0.412629i \(-0.135389\pi\)
\(168\) −5.61426 + 4.94773i −0.433150 + 0.381726i
\(169\) −2.63810 11.5583i −0.202931 0.889097i
\(170\) −14.0207 3.22375i −1.07534 0.247251i
\(171\) −4.15039 5.20442i −0.317388 0.397992i
\(172\) −23.1513 5.36218i −1.76527 0.408862i
\(173\) −4.99918 + 1.14103i −0.380080 + 0.0867509i −0.408293 0.912851i \(-0.633876\pi\)
0.0282123 + 0.999602i \(0.491019\pi\)
\(174\) 8.74756 + 2.01131i 0.663151 + 0.152477i
\(175\) −4.16334 + 2.28949i −0.314719 + 0.173069i
\(176\) −8.44038 + 17.2432i −0.636217 + 1.29976i
\(177\) 8.07357 0.606847
\(178\) −10.9294 5.28491i −0.819196 0.396121i
\(179\) 10.3661 + 2.36600i 0.774801 + 0.176843i 0.591599 0.806232i \(-0.298497\pi\)
0.183202 + 0.983075i \(0.441354\pi\)
\(180\) 1.56364 3.22051i 0.116547 0.240043i
\(181\) 8.54034 6.81070i 0.634799 0.506235i −0.252400 0.967623i \(-0.581220\pi\)
0.887198 + 0.461388i \(0.152648\pi\)
\(182\) 3.69243 + 1.54558i 0.273701 + 0.114566i
\(183\) −1.90844 1.52193i −0.141076 0.112504i
\(184\) −1.12651 0.00541095i −0.0830473 0.000398901i
\(185\) 0.576062 + 0.459394i 0.0423529 + 0.0337753i
\(186\) −0.00436191 + 2.72435i −0.000319831 + 0.199759i
\(187\) 17.0064 + 21.3253i 1.24363 + 1.55946i
\(188\) 0.737435 + 3.27928i 0.0537830 + 0.239166i
\(189\) −2.64190 + 0.142748i −0.192170 + 0.0103834i
\(190\) −16.8512 0.0269802i −1.22252 0.00195735i
\(191\) −6.25188 + 12.9822i −0.452370 + 0.939357i 0.542676 + 0.839942i \(0.317411\pi\)
−0.995046 + 0.0994144i \(0.968303\pi\)
\(192\) 4.92760 + 6.30228i 0.355619 + 0.454828i
\(193\) 22.8675 + 11.0124i 1.64604 + 0.792689i 0.999557 + 0.0297569i \(0.00947331\pi\)
0.646479 + 0.762932i \(0.276241\pi\)
\(194\) −3.62962 + 1.74078i −0.260591 + 0.124981i
\(195\) −1.91498 −0.137134
\(196\) 11.9092 7.36003i 0.850660 0.525716i
\(197\) 13.4307 0.956901 0.478450 0.878115i \(-0.341199\pi\)
0.478450 + 0.878115i \(0.341199\pi\)
\(198\) −6.12010 + 2.93522i −0.434937 + 0.208597i
\(199\) −7.97742 3.84172i −0.565505 0.272333i 0.129211 0.991617i \(-0.458756\pi\)
−0.694716 + 0.719284i \(0.744470\pi\)
\(200\) 2.18186 + 4.58690i 0.154281 + 0.324343i
\(201\) −4.69992 + 9.75948i −0.331507 + 0.688381i
\(202\) 13.1748 + 0.0210940i 0.926974 + 0.00148417i
\(203\) −15.5003 6.45897i −1.08791 0.453331i
\(204\) 11.0892 2.49371i 0.776400 0.174595i
\(205\) 7.25585 + 9.09855i 0.506771 + 0.635470i
\(206\) 0.0227493 14.2087i 0.00158502 0.989965i
\(207\) −0.311392 0.248327i −0.0216433 0.0172599i
\(208\) 1.88134 3.84349i 0.130448 0.266498i
\(209\) 24.9788 + 19.9200i 1.72782 + 1.37789i
\(210\) −3.89603 + 5.44787i −0.268851 + 0.375939i
\(211\) −6.89102 + 5.49541i −0.474398 + 0.378319i −0.831302 0.555822i \(-0.812404\pi\)
0.356904 + 0.934141i \(0.383832\pi\)
\(212\) 6.78503 + 3.29431i 0.465998 + 0.226254i
\(213\) 1.61420 + 0.368430i 0.110603 + 0.0252444i
\(214\) 16.1920 + 7.82963i 1.10686 + 0.535223i
\(215\) −21.2691 −1.45054
\(216\) −0.0135856 + 2.82839i −0.000924383 + 0.192448i
\(217\) 0.864394 5.02296i 0.0586789 0.340981i
\(218\) 3.62858 + 0.834313i 0.245758 + 0.0565068i
\(219\) −9.83782 + 2.24542i −0.664778 + 0.151731i
\(220\) −3.87710 + 16.7394i −0.261394 + 1.12857i
\(221\) −3.79069 4.75338i −0.254990 0.319747i
\(222\) −0.567319 0.130443i −0.0380759 0.00875475i
\(223\) −5.11270 22.4002i −0.342372 1.50003i −0.794053 0.607848i \(-0.792033\pi\)
0.451682 0.892179i \(-0.350824\pi\)
\(224\) −7.10664 13.1718i −0.474832 0.880076i
\(225\) −0.399611 + 1.75081i −0.0266407 + 0.116721i
\(226\) 4.30377 8.90038i 0.286282 0.592045i
\(227\) 11.4744 0.761584 0.380792 0.924661i \(-0.375651\pi\)
0.380792 + 0.924661i \(0.375651\pi\)
\(228\) 12.0134 5.73803i 0.795607 0.380010i
\(229\) 5.55202 + 11.5289i 0.366888 + 0.761850i 0.999925 0.0122712i \(-0.00390614\pi\)
−0.633037 + 0.774122i \(0.718192\pi\)
\(230\) −0.983326 + 0.222782i −0.0648386 + 0.0146898i
\(231\) 12.2095 3.48949i 0.803328 0.229592i
\(232\) −7.86652 + 16.1363i −0.516462 + 1.05940i
\(233\) −0.736023 + 3.22473i −0.0482185 + 0.211259i −0.993298 0.115582i \(-0.963127\pi\)
0.945080 + 0.326840i \(0.105984\pi\)
\(234\) 1.36416 0.654256i 0.0891779 0.0427700i
\(235\) 1.30524 + 2.71037i 0.0851448 + 0.176805i
\(236\) −3.64347 + 15.7307i −0.237169 + 1.02398i
\(237\) −3.31501 + 6.88369i −0.215333 + 0.447144i
\(238\) −21.2349 + 1.11328i −1.37646 + 0.0721633i
\(239\) 9.77605 + 20.3002i 0.632360 + 1.31311i 0.933174 + 0.359426i \(0.117027\pi\)
−0.300814 + 0.953683i \(0.597258\pi\)
\(240\) 5.56927 + 4.49999i 0.359495 + 0.290473i
\(241\) 0.985286 0.224885i 0.0634678 0.0144861i −0.190669 0.981654i \(-0.561066\pi\)
0.254137 + 0.967168i \(0.418209\pi\)
\(242\) 13.3245 10.5910i 0.856528 0.680818i
\(243\) −0.623490 + 0.781831i −0.0399969 + 0.0501545i
\(244\) 3.82661 3.03162i 0.244974 0.194080i
\(245\) 8.89762 8.82249i 0.568448 0.563648i
\(246\) −8.27734 4.00250i −0.527744 0.255190i
\(247\) −5.56774 4.44012i −0.354267 0.282518i
\(248\) −5.30620 1.23795i −0.336944 0.0786100i
\(249\) 1.37609 + 6.02903i 0.0872059 + 0.382074i
\(250\) 10.7046 + 13.4673i 0.677020 + 0.851750i
\(251\) −25.4529 + 12.2575i −1.60657 + 0.773686i −0.999776 0.0211698i \(-0.993261\pi\)
−0.606799 + 0.794855i \(0.707547\pi\)
\(252\) 0.914111 5.21195i 0.0575836 0.328322i
\(253\) 1.72228 + 0.829407i 0.108279 + 0.0521444i
\(254\) −5.54631 24.4806i −0.348006 1.53605i
\(255\) 9.16538 4.41381i 0.573958 0.276404i
\(256\) −14.5032 + 6.75693i −0.906452 + 0.422308i
\(257\) 13.1524 + 3.00195i 0.820425 + 0.187257i 0.612077 0.790798i \(-0.290334\pi\)
0.208348 + 0.978055i \(0.433191\pi\)
\(258\) 15.1513 7.26664i 0.943281 0.452401i
\(259\) 1.00527 + 0.418893i 0.0624642 + 0.0260288i
\(260\) 0.864197 3.73118i 0.0535952 0.231398i
\(261\) −5.71832 + 2.75380i −0.353955 + 0.170456i
\(262\) 17.8591 + 14.2890i 1.10334 + 0.882778i
\(263\) 28.5282i 1.75912i −0.475784 0.879562i \(-0.657836\pi\)
0.475784 0.879562i \(-0.342164\pi\)
\(264\) −2.95715 13.2492i −0.182000 0.815429i
\(265\) 6.58134 + 1.50215i 0.404289 + 0.0922762i
\(266\) −23.9592 + 6.80607i −1.46903 + 0.417307i
\(267\) 8.36914 1.91020i 0.512183 0.116902i
\(268\) −16.8946 13.5617i −1.03200 0.828413i
\(269\) −21.7823 + 17.3708i −1.32809 + 1.05912i −0.334946 + 0.942237i \(0.608718\pi\)
−0.993146 + 0.116881i \(0.962710\pi\)
\(270\) 0.559352 + 2.46890i 0.0340411 + 0.150252i
\(271\) 6.81985 + 29.8797i 0.414276 + 1.81506i 0.563328 + 0.826234i \(0.309521\pi\)
−0.149051 + 0.988829i \(0.547622\pi\)
\(272\) −0.145584 + 22.7318i −0.00882735 + 1.37832i
\(273\) −2.72148 + 0.777801i −0.164712 + 0.0470747i
\(274\) 17.4712 + 13.9786i 1.05547 + 0.844478i
\(275\) 8.61918i 0.519756i
\(276\) 0.624372 0.494657i 0.0375827 0.0297749i
\(277\) 5.99517 26.2666i 0.360215 1.57820i −0.392433 0.919781i \(-0.628366\pi\)
0.752647 0.658424i \(-0.228776\pi\)
\(278\) −0.0254125 + 15.8720i −0.00152414 + 0.951942i
\(279\) −1.20109 1.50613i −0.0719077 0.0901694i
\(280\) −8.85653 10.0496i −0.529279 0.600580i
\(281\) −7.30694 + 9.16261i −0.435896 + 0.546596i −0.950456 0.310858i \(-0.899384\pi\)
0.514561 + 0.857454i \(0.327955\pi\)
\(282\) −1.85581 1.48483i −0.110512 0.0884202i
\(283\) −2.23601 + 2.80387i −0.132917 + 0.166673i −0.843836 0.536601i \(-0.819708\pi\)
0.710919 + 0.703274i \(0.248279\pi\)
\(284\) −1.44632 + 2.97887i −0.0858230 + 0.176763i
\(285\) 9.31601 7.42927i 0.551833 0.440072i
\(286\) −5.68444 + 4.51832i −0.336128 + 0.267174i
\(287\) 14.0072 + 9.98337i 0.826821 + 0.589300i
\(288\) −5.50477 1.30288i −0.324372 0.0767728i
\(289\) 13.7824 + 6.63726i 0.810730 + 0.390427i
\(290\) −3.60029 + 15.6583i −0.211416 + 0.919487i
\(291\) 1.23502 2.56455i 0.0723984 0.150337i
\(292\) 0.0646249 20.1815i 0.00378189 1.18103i
\(293\) 32.4844i 1.89776i 0.315638 + 0.948880i \(0.397781\pi\)
−0.315638 + 0.948880i \(0.602219\pi\)
\(294\) −3.32412 + 9.32471i −0.193866 + 0.543828i
\(295\) 14.4518i 0.841418i
\(296\) 0.510179 1.04651i 0.0296535 0.0608271i
\(297\) 2.08244 4.32424i 0.120836 0.250918i
\(298\) −18.3682 4.22337i −1.06404 0.244654i
\(299\) −0.383893 0.184873i −0.0222011 0.0106915i
\(300\) −3.23098 1.56872i −0.186540 0.0905702i
\(301\) −30.2267 + 8.63882i −1.74224 + 0.497933i
\(302\) −17.7345 22.3115i −1.02050 1.28388i
\(303\) −7.28353 + 5.80842i −0.418428 + 0.333685i
\(304\) 5.75865 + 25.9966i 0.330281 + 1.49101i
\(305\) 2.72428 3.41614i 0.155992 0.195608i
\(306\) −5.02109 + 6.27561i −0.287037 + 0.358753i
\(307\) 0.0712122 0.0892972i 0.00406429 0.00509646i −0.779795 0.626035i \(-0.784677\pi\)
0.783859 + 0.620938i \(0.213248\pi\)
\(308\) 1.28904 + 25.3641i 0.0734498 + 1.44525i
\(309\) 6.26424 + 7.85511i 0.356360 + 0.446861i
\(310\) −4.87663 0.00780791i −0.276974 0.000443459i
\(311\) −1.50947 + 6.61341i −0.0855941 + 0.375012i −0.999524 0.0308604i \(-0.990175\pi\)
0.913930 + 0.405873i \(0.133032\pi\)
\(312\) 0.659143 + 2.95321i 0.0373166 + 0.167193i
\(313\) 3.21378i 0.181654i 0.995867 + 0.0908269i \(0.0289510\pi\)
−0.995867 + 0.0908269i \(0.971049\pi\)
\(314\) −12.0182 + 15.0210i −0.678228 + 0.847683i
\(315\) −0.255522 4.72904i −0.0143970 0.266451i
\(316\) −11.9163 9.56553i −0.670345 0.538103i
\(317\) −3.09586 13.5638i −0.173881 0.761821i −0.984376 0.176077i \(-0.943659\pi\)
0.810496 0.585745i \(-0.199198\pi\)
\(318\) −5.20152 + 1.17845i −0.291687 + 0.0660844i
\(319\) 23.8162 18.9928i 1.33345 1.06339i
\(320\) −11.2812 + 8.82050i −0.630638 + 0.493081i
\(321\) −12.3989 + 2.82998i −0.692041 + 0.157954i
\(322\) −1.30697 + 0.716003i −0.0728348 + 0.0399013i
\(323\) 36.8820 + 8.41809i 2.05217 + 0.468395i
\(324\) −1.24197 1.56765i −0.0689981 0.0870916i
\(325\) 1.92120i 0.106569i
\(326\) −14.4828 + 18.1014i −0.802130 + 1.00254i
\(327\) −2.37202 + 1.14230i −0.131173 + 0.0631695i
\(328\) 11.5340 14.3215i 0.636857 0.790772i
\(329\) 2.95582 + 3.32171i 0.162960 + 0.183132i
\(330\) −5.25410 10.9551i −0.289229 0.603058i
\(331\) 11.0439 + 2.52069i 0.607025 + 0.138549i 0.514975 0.857205i \(-0.327801\pi\)
0.0920496 + 0.995754i \(0.470658\pi\)
\(332\) −12.3681 0.0396049i −0.678787 0.00217360i
\(333\) 0.370859 0.178596i 0.0203229 0.00978701i
\(334\) −21.5662 + 4.88602i −1.18005 + 0.267351i
\(335\) −17.4697 8.41294i −0.954469 0.459648i
\(336\) 9.74254 + 4.13314i 0.531499 + 0.225481i
\(337\) −1.21230 + 0.583811i −0.0660379 + 0.0318022i −0.466611 0.884463i \(-0.654525\pi\)
0.400573 + 0.916265i \(0.368811\pi\)
\(338\) −13.1251 + 10.4326i −0.713910 + 0.567457i
\(339\) 1.55557 + 6.81541i 0.0844871 + 0.370162i
\(340\) 4.46378 + 19.8499i 0.242083 + 1.07651i
\(341\) 7.22871 + 5.76470i 0.391457 + 0.312176i
\(342\) −4.09816 + 8.47517i −0.221603 + 0.458285i
\(343\) 9.06150 16.1521i 0.489275 0.872129i
\(344\) 7.32092 + 32.8005i 0.394718 + 1.76848i
\(345\) 0.444510 0.557398i 0.0239316 0.0300093i
\(346\) 4.51229 + 5.67685i 0.242582 + 0.305190i
\(347\) −1.89840 + 0.433299i −0.101912 + 0.0232607i −0.273173 0.961965i \(-0.588073\pi\)
0.171261 + 0.985226i \(0.445216\pi\)
\(348\) −2.78498 12.3844i −0.149290 0.663876i
\(349\) 13.2913 + 27.5998i 0.711469 + 1.47738i 0.871565 + 0.490280i \(0.163105\pi\)
−0.160096 + 0.987102i \(0.551180\pi\)
\(350\) 5.46557 + 3.90869i 0.292147 + 0.208928i
\(351\) −0.464173 + 0.963864i −0.0247757 + 0.0514473i
\(352\) 27.1494 + 0.217347i 1.44707 + 0.0115847i
\(353\) −4.70507 9.77017i −0.250426 0.520014i 0.737423 0.675431i \(-0.236042\pi\)
−0.987849 + 0.155417i \(0.950328\pi\)
\(354\) −4.93750 10.2950i −0.262425 0.547171i
\(355\) −0.659496 + 2.88944i −0.0350024 + 0.153356i
\(356\) −0.0549771 + 17.1686i −0.00291378 + 0.909937i
\(357\) 11.2327 9.99540i 0.594497 0.529012i
\(358\) −3.32256 14.6653i −0.175603 0.775083i
\(359\) −6.10659 12.6805i −0.322293 0.669249i 0.675377 0.737473i \(-0.263981\pi\)
−0.997670 + 0.0682240i \(0.978267\pi\)
\(360\) −5.06288 0.0243185i −0.266837 0.00128170i
\(361\) 25.3117 1.33220
\(362\) −13.9076 6.72499i −0.730966 0.353457i
\(363\) −2.67817 + 11.7338i −0.140568 + 0.615867i
\(364\) −0.287324 5.65360i −0.0150599 0.296329i
\(365\) −4.01934 17.6099i −0.210382 0.921743i
\(366\) −0.773547 + 3.36429i −0.0404339 + 0.175854i
\(367\) −10.2539 12.8580i −0.535251 0.671184i 0.438518 0.898722i \(-0.355504\pi\)
−0.973769 + 0.227539i \(0.926932\pi\)
\(368\) 0.682032 + 1.43977i 0.0355534 + 0.0750531i
\(369\) 6.33832 1.44668i 0.329960 0.0753112i
\(370\) 0.233495 1.01551i 0.0121388 0.0527939i
\(371\) 9.96324 0.538338i 0.517265 0.0279491i
\(372\) 3.47660 1.66055i 0.180253 0.0860954i
\(373\) −0.0878200 −0.00454715 −0.00227357 0.999997i \(-0.500724\pi\)
−0.00227357 + 0.999997i \(0.500724\pi\)
\(374\) 16.7924 34.7274i 0.868313 1.79571i
\(375\) −11.8597 2.70689i −0.612431 0.139783i
\(376\) 3.73057 2.94582i 0.192389 0.151919i
\(377\) −5.30858 + 4.23345i −0.273406 + 0.218034i
\(378\) 1.79771 + 3.28150i 0.0924644 + 0.168782i
\(379\) −16.2691 12.9742i −0.835688 0.666439i 0.109133 0.994027i \(-0.465193\pi\)
−0.944821 + 0.327588i \(0.893764\pi\)
\(380\) 10.2712 + 21.5042i 0.526901 + 1.10314i
\(381\) 13.8768 + 11.0664i 0.710929 + 0.566947i
\(382\) 20.3775 + 0.0326262i 1.04261 + 0.00166930i
\(383\) 1.24006 + 1.55499i 0.0633644 + 0.0794564i 0.812504 0.582956i \(-0.198104\pi\)
−0.749139 + 0.662413i \(0.769533\pi\)
\(384\) 5.02277 10.1376i 0.256317 0.517334i
\(385\) 6.24625 + 21.8553i 0.318339 + 1.11385i
\(386\) 0.0574695 35.8941i 0.00292512 1.82696i
\(387\) −5.15543 + 10.7054i −0.262065 + 0.544185i
\(388\) 4.43948 + 3.56369i 0.225381 + 0.180919i
\(389\) −25.8295 12.4388i −1.30961 0.630674i −0.356782 0.934188i \(-0.616126\pi\)
−0.952827 + 0.303514i \(0.901840\pi\)
\(390\) 1.17113 + 2.44187i 0.0593025 + 0.123649i
\(391\) 2.26349 0.114469
\(392\) −16.6683 10.6849i −0.841878 0.539667i
\(393\) −16.1729 −0.815813
\(394\) −8.21375 17.1261i −0.413803 0.862801i
\(395\) −12.3219 5.93393i −0.619984 0.298568i
\(396\) 7.48566 + 6.00893i 0.376169 + 0.301960i
\(397\) 13.3410 27.7029i 0.669566 1.39037i −0.238335 0.971183i \(-0.576602\pi\)
0.907901 0.419185i \(-0.137684\pi\)
\(398\) −0.0200485 + 12.5218i −0.00100494 + 0.627662i
\(399\) 10.2220 14.3420i 0.511739 0.717998i
\(400\) 4.51461 5.58736i 0.225731 0.279368i
\(401\) −11.4301 14.3329i −0.570793 0.715752i 0.409719 0.912212i \(-0.365627\pi\)
−0.980512 + 0.196460i \(0.937055\pi\)
\(402\) 15.3190 + 0.0245271i 0.764044 + 0.00122330i
\(403\) −1.61127 1.28494i −0.0802629 0.0640075i
\(404\) −8.03031 16.8126i −0.399523 0.836459i
\(405\) −1.39949 1.11606i −0.0695413 0.0554574i
\(406\) 1.24331 + 23.7152i 0.0617046 + 1.17697i
\(407\) −1.54459 + 1.23177i −0.0765622 + 0.0610563i
\(408\) −9.96159 12.6153i −0.493172 0.624549i
\(409\) 22.6171 + 5.16220i 1.11834 + 0.255254i 0.741453 0.671004i \(-0.234137\pi\)
0.376889 + 0.926259i \(0.376994\pi\)
\(410\) 7.16454 14.8166i 0.353831 0.731739i
\(411\) −15.8215 −0.780419
\(412\) −18.1320 + 8.66049i −0.893300 + 0.426672i
\(413\) 5.86986 + 20.5383i 0.288837 + 1.01062i
\(414\) −0.126216 + 0.548937i −0.00620320 + 0.0269788i
\(415\) −10.7921 + 2.46322i −0.529762 + 0.120915i
\(416\) −6.05156 0.0484463i −0.296702 0.00237528i
\(417\) −6.99758 8.77468i −0.342673 0.429698i
\(418\) 10.1247 44.0339i 0.495213 2.15377i
\(419\) 0.430596 + 1.88657i 0.0210360 + 0.0921648i 0.984356 0.176190i \(-0.0563773\pi\)
−0.963320 + 0.268355i \(0.913520\pi\)
\(420\) 9.32948 + 1.63627i 0.455232 + 0.0798420i
\(421\) −7.13668 + 31.2678i −0.347821 + 1.52390i 0.434296 + 0.900770i \(0.356997\pi\)
−0.782117 + 0.623132i \(0.785860\pi\)
\(422\) 11.2217 + 5.42625i 0.546265 + 0.264146i
\(423\) 1.68059 0.0817130
\(424\) 0.0512346 10.6666i 0.00248817 0.518014i
\(425\) −4.42816 9.19516i −0.214797 0.446031i
\(426\) −0.517383 2.28365i −0.0250673 0.110643i
\(427\) 2.48411 5.96139i 0.120214 0.288492i
\(428\) 0.0814490 25.4355i 0.00393699 1.22947i
\(429\) 1.14255 5.00586i 0.0551630 0.241685i
\(430\) 13.0074 + 27.1212i 0.627273 + 1.30790i
\(431\) 8.45513 + 17.5573i 0.407269 + 0.845703i 0.999211 + 0.0397224i \(0.0126473\pi\)
−0.591942 + 0.805981i \(0.701638\pi\)
\(432\) 3.61492 1.71242i 0.173923 0.0823888i
\(433\) 0.398806 0.828130i 0.0191654 0.0397974i −0.891166 0.453677i \(-0.850112\pi\)
0.910332 + 0.413879i \(0.135826\pi\)
\(434\) −6.93362 + 1.96963i −0.332825 + 0.0945453i
\(435\) −4.92935 10.2359i −0.236344 0.490774i
\(436\) −1.15524 5.13719i −0.0553258 0.246027i
\(437\) 2.58480 0.589963i 0.123648 0.0282218i
\(438\) 8.87968 + 11.1714i 0.424288 + 0.533791i
\(439\) 9.73127 12.2026i 0.464448 0.582400i −0.493354 0.869829i \(-0.664229\pi\)
0.957802 + 0.287429i \(0.0928006\pi\)
\(440\) 23.7162 5.29335i 1.13063 0.252351i
\(441\) −2.28392 6.61693i −0.108758 0.315092i
\(442\) −3.74299 + 7.74067i −0.178036 + 0.368186i
\(443\) 2.24548 + 1.79071i 0.106686 + 0.0850792i 0.675380 0.737470i \(-0.263980\pi\)
−0.568694 + 0.822549i \(0.692551\pi\)
\(444\) 0.180618 + 0.803187i 0.00857176 + 0.0381176i
\(445\) 3.41930 + 14.9809i 0.162090 + 0.710163i
\(446\) −25.4367 + 20.2186i −1.20446 + 0.957377i
\(447\) 12.0074 5.78245i 0.567930 0.273500i
\(448\) −12.4497 + 17.1174i −0.588195 + 0.808719i
\(449\) −3.97767 1.91555i −0.187718 0.0904003i 0.337664 0.941267i \(-0.390363\pi\)
−0.525382 + 0.850866i \(0.676078\pi\)
\(450\) 2.47692 0.561170i 0.116763 0.0264538i
\(451\) −28.1133 + 13.5386i −1.32380 + 0.637509i
\(452\) −13.9813 0.0447706i −0.657625 0.00210583i
\(453\) 19.6481 + 4.48454i 0.923146 + 0.210702i
\(454\) −7.01733 14.6315i −0.329340 0.686692i
\(455\) −1.39228 4.87150i −0.0652710 0.228379i
\(456\) −14.6638 11.8096i −0.686694 0.553037i
\(457\) −26.0201 + 12.5306i −1.21717 + 0.586157i −0.928521 0.371279i \(-0.878919\pi\)
−0.288646 + 0.957436i \(0.593205\pi\)
\(458\) 11.3056 14.1303i 0.528275 0.660264i
\(459\) 5.68307i 0.265263i
\(460\) 0.885445 + 1.11764i 0.0412841 + 0.0521101i
\(461\) −32.4732 7.41179i −1.51243 0.345201i −0.615769 0.787927i \(-0.711154\pi\)
−0.896657 + 0.442726i \(0.854012\pi\)
\(462\) −11.9165 13.4349i −0.554406 0.625046i
\(463\) 12.1905 2.78241i 0.566542 0.129310i 0.0703502 0.997522i \(-0.477588\pi\)
0.496192 + 0.868213i \(0.334731\pi\)
\(464\) 25.3869 + 0.162589i 1.17856 + 0.00754799i
\(465\) 2.69599 2.14998i 0.125024 0.0997030i
\(466\) 4.56211 1.03359i 0.211336 0.0478802i
\(467\) 5.07721 + 22.2447i 0.234945 + 1.02936i 0.945475 + 0.325696i \(0.105598\pi\)
−0.710529 + 0.703668i \(0.751544\pi\)
\(468\) −1.66854 1.33938i −0.0771283 0.0619128i
\(469\) −28.2442 4.86050i −1.30419 0.224437i
\(470\) 2.65787 3.32194i 0.122598 0.153230i
\(471\) 13.6027i 0.626780i
\(472\) 22.2871 4.97438i 1.02585 0.228965i
\(473\) 12.6900 55.5986i 0.583488 2.55643i
\(474\) 10.8050 + 0.0172998i 0.496292 + 0.000794606i
\(475\) −7.45341 9.34628i −0.341986 0.428837i
\(476\) 14.4061 + 26.3968i 0.660303 + 1.20989i
\(477\) 2.35133 2.94848i 0.107660 0.135001i
\(478\) 19.9069 24.8807i 0.910523 1.13802i
\(479\) 4.61901 5.79206i 0.211048 0.264646i −0.665028 0.746818i \(-0.731581\pi\)
0.876076 + 0.482172i \(0.160152\pi\)
\(480\) 2.33217 9.85364i 0.106449 0.449755i
\(481\) 0.344285 0.274558i 0.0156980 0.0125188i
\(482\) −0.889325 1.11885i −0.0405077 0.0509622i
\(483\) 0.405321 0.972694i 0.0184427 0.0442591i
\(484\) −21.6538 10.5135i −0.984266 0.477886i
\(485\) 4.59060 + 2.21072i 0.208448 + 0.100383i
\(486\) 1.37825 + 0.316899i 0.0625187 + 0.0143748i
\(487\) −16.6038 + 34.4781i −0.752390 + 1.56235i 0.0727018 + 0.997354i \(0.476838\pi\)
−0.825091 + 0.564999i \(0.808876\pi\)
\(488\) −6.20597 3.02544i −0.280931 0.136955i
\(489\) 16.3923i 0.741283i
\(490\) −16.6914 5.95023i −0.754041 0.268804i
\(491\) 26.3636i 1.18977i 0.803809 + 0.594887i \(0.202803\pi\)
−0.803809 + 0.594887i \(0.797197\pi\)
\(492\) −0.0416366 + 13.0026i −0.00187712 + 0.586201i
\(493\) 15.6500 32.4976i 0.704842 1.46362i
\(494\) −2.25677 + 9.81508i −0.101537 + 0.441601i
\(495\) 7.74046 + 3.72761i 0.347908 + 0.167544i
\(496\) 1.66652 + 7.52326i 0.0748288 + 0.337804i
\(497\) 0.236349 + 4.37421i 0.0106017 + 0.196210i
\(498\) 6.84631 5.44184i 0.306791 0.243855i
\(499\) 11.1745 8.91138i 0.500240 0.398928i −0.340603 0.940207i \(-0.610631\pi\)
0.840843 + 0.541279i \(0.182060\pi\)
\(500\) 10.6262 21.8861i 0.475220 0.978774i
\(501\) 9.74892 12.2248i 0.435550 0.546162i
\(502\) 31.1961 + 24.9599i 1.39235 + 1.11401i
\(503\) −0.975827 + 1.22365i −0.0435100 + 0.0545598i −0.803110 0.595830i \(-0.796823\pi\)
0.759600 + 0.650390i \(0.225395\pi\)
\(504\) −7.20502 + 2.02181i −0.320937 + 0.0900588i
\(505\) −10.3972 13.0376i −0.462668 0.580168i
\(506\) 0.00432836 2.70339i 0.000192419 0.120180i
\(507\) 2.63810 11.5583i 0.117162 0.513321i
\(508\) −27.8243 + 22.0438i −1.23450 + 0.978034i
\(509\) 4.60266i 0.204009i 0.994784 + 0.102005i \(0.0325257\pi\)
−0.994784 + 0.102005i \(0.967474\pi\)
\(510\) −11.2335 8.98784i −0.497426 0.397988i
\(511\) −12.8647 23.3939i −0.569099 1.03488i
\(512\) 17.4857 + 14.3614i 0.772766 + 0.634691i
\(513\) −1.48126 6.48981i −0.0653991 0.286532i
\(514\) −4.21561 18.6071i −0.185943 0.820723i
\(515\) −14.0608 + 11.2131i −0.619592 + 0.494108i
\(516\) −18.5320 14.8761i −0.815826 0.654884i
\(517\) −7.86382 + 1.79487i −0.345850 + 0.0789381i
\(518\) −0.0806345 1.53804i −0.00354288 0.0675775i
\(519\) −4.99918 1.14103i −0.219439 0.0500856i
\(520\) −5.28630 + 1.17988i −0.231820 + 0.0517411i
\(521\) 41.6925i 1.82658i −0.407307 0.913291i \(-0.633532\pi\)
0.407307 0.913291i \(-0.366468\pi\)
\(522\) 7.00861 + 5.60756i 0.306758 + 0.245436i
\(523\) −32.2861 + 15.5482i −1.41177 + 0.679874i −0.975512 0.219946i \(-0.929412\pi\)
−0.436261 + 0.899820i \(0.643698\pi\)
\(524\) 7.29855 31.5116i 0.318838 1.37659i
\(525\) −4.74441 + 0.256352i −0.207063 + 0.0111881i
\(526\) −36.3775 + 17.4468i −1.58614 + 0.760717i
\(527\) 10.6734 + 2.43614i 0.464941 + 0.106120i
\(528\) −15.0861 + 11.8735i −0.656537 + 0.516727i
\(529\) −20.5794 + 9.91050i −0.894755 + 0.430891i
\(530\) −2.10945 9.31081i −0.0916288 0.404436i
\(531\) 7.27403 + 3.50299i 0.315666 + 0.152017i
\(532\) 23.3313 + 26.3890i 1.01154 + 1.14411i
\(533\) 6.26639 3.01774i 0.271428 0.130713i
\(534\) −7.55404 9.50364i −0.326895 0.411263i
\(535\) −5.06571 22.1943i −0.219010 0.959545i
\(536\) −6.96102 + 29.8369i −0.300670 + 1.28876i
\(537\) 8.31299 + 6.62939i 0.358732 + 0.286079i
\(538\) 35.4716 + 17.1522i 1.52929 + 0.739485i
\(539\) 17.7538 + 28.5227i 0.764710 + 1.22856i
\(540\) 2.80612 2.22314i 0.120756 0.0956688i
\(541\) −4.28558 + 5.37394i −0.184251 + 0.231044i −0.865375 0.501124i \(-0.832920\pi\)
0.681124 + 0.732168i \(0.261491\pi\)
\(542\) 33.9301 26.9696i 1.45742 1.15844i
\(543\) 10.6496 2.43071i 0.457019 0.104312i
\(544\) 29.0754 13.7163i 1.24660 0.588082i
\(545\) −2.04474 4.24595i −0.0875872 0.181877i
\(546\) 2.65617 + 2.99460i 0.113673 + 0.128157i
\(547\) 1.55296 3.22474i 0.0663996 0.137880i −0.865128 0.501552i \(-0.832763\pi\)
0.931527 + 0.363672i \(0.118477\pi\)
\(548\) 7.14000 30.8270i 0.305006 1.31687i
\(549\) −1.05910 2.19925i −0.0452015 0.0938618i
\(550\) −10.9907 + 5.27118i −0.468645 + 0.224764i
\(551\) 9.40132 41.1899i 0.400510 1.75475i
\(552\) −1.01260 0.493649i −0.0430992 0.0210111i
\(553\) −19.9216 3.42827i −0.847151 0.145785i
\(554\) −37.1600 + 8.41897i −1.57878 + 0.357688i
\(555\) 0.319691 + 0.663844i 0.0135701 + 0.0281786i
\(556\) 20.2547 9.67436i 0.858989 0.410284i
\(557\) −2.17270 −0.0920604 −0.0460302 0.998940i \(-0.514657\pi\)
−0.0460302 + 0.998940i \(0.514657\pi\)
\(558\) −1.18598 + 2.45266i −0.0502065 + 0.103829i
\(559\) −2.82858 + 12.3928i −0.119636 + 0.524161i
\(560\) −7.39839 + 17.4393i −0.312639 + 0.736946i
\(561\) 6.06951 + 26.5923i 0.256255 + 1.12273i
\(562\) 16.1523 + 3.71388i 0.681344 + 0.156660i
\(563\) 4.98616 + 6.25244i 0.210142 + 0.263509i 0.875721 0.482818i \(-0.160387\pi\)
−0.665579 + 0.746327i \(0.731815\pi\)
\(564\) −0.758421 + 3.27449i −0.0319353 + 0.137881i
\(565\) −12.1997 + 2.78450i −0.513246 + 0.117145i
\(566\) 4.94280 + 1.13649i 0.207761 + 0.0477703i
\(567\) −2.44220 1.01766i −0.102563 0.0427379i
\(568\) 4.68299 + 0.0224938i 0.196494 + 0.000943819i
\(569\) 17.0586 0.715134 0.357567 0.933888i \(-0.383606\pi\)
0.357567 + 0.933888i \(0.383606\pi\)
\(570\) −15.1707 7.33578i −0.635431 0.307262i
\(571\) 1.63790 + 0.373841i 0.0685442 + 0.0156448i 0.256655 0.966503i \(-0.417379\pi\)
−0.188111 + 0.982148i \(0.560237\pi\)
\(572\) 9.23790 + 4.48524i 0.386256 + 0.187537i
\(573\) −11.2655 + 8.98394i −0.470623 + 0.375309i
\(574\) 4.16392 23.9667i 0.173799 1.00035i
\(575\) −0.559209 0.445954i −0.0233206 0.0185976i
\(576\) 1.70516 + 7.81616i 0.0710484 + 0.325674i
\(577\) −25.9084 20.6613i −1.07858 0.860141i −0.0878723 0.996132i \(-0.528007\pi\)
−0.990710 + 0.135991i \(0.956578\pi\)
\(578\) 0.0346373 21.6336i 0.00144072 0.899841i
\(579\) 15.8248 + 19.8436i 0.657655 + 0.824673i
\(580\) 22.1684 4.98516i 0.920492 0.206997i
\(581\) −14.3367 + 7.88401i −0.594788 + 0.327084i
\(582\) −4.02547 0.00644512i −0.166861 0.000267159i
\(583\) −7.85340 + 16.3077i −0.325254 + 0.675398i
\(584\) −25.7739 + 12.2599i −1.06653 + 0.507317i
\(585\) −1.72533 0.830877i −0.0713338 0.0343526i
\(586\) 41.4223 19.8663i 1.71114 0.820668i
\(587\) −43.8309 −1.80910 −0.904548 0.426373i \(-0.859791\pi\)
−0.904548 + 0.426373i \(0.859791\pi\)
\(588\) 13.9233 1.46393i 0.574185 0.0603714i
\(589\) 12.8235 0.528384
\(590\) 18.4282 8.83821i 0.758675 0.363863i
\(591\) 12.1007 + 5.82738i 0.497756 + 0.239706i
\(592\) −1.64646 0.0105446i −0.0676689 0.000433381i
\(593\) −13.6708 + 28.3877i −0.561391 + 1.16574i 0.406332 + 0.913726i \(0.366808\pi\)
−0.967723 + 0.252016i \(0.918907\pi\)
\(594\) −6.78757 0.0108675i −0.278497 0.000445898i
\(595\) 17.8919 + 20.1067i 0.733498 + 0.824295i
\(596\) 5.84791 + 26.0049i 0.239540 + 1.06520i
\(597\) −5.52055 6.92255i −0.225941 0.283321i
\(598\) −0.000964784 0.602581i −3.94529e−5 0.0246414i
\(599\) 23.7351 + 18.9281i 0.969791 + 0.773383i 0.973986 0.226609i \(-0.0727638\pi\)
−0.00419481 + 0.999991i \(0.501335\pi\)
\(600\) −0.0243975 + 5.07933i −0.000996024 + 0.207363i
\(601\) −2.90149 2.31386i −0.118354 0.0943845i 0.562524 0.826781i \(-0.309830\pi\)
−0.680878 + 0.732396i \(0.738402\pi\)
\(602\) 29.5013 + 33.2602i 1.20238 + 1.35559i
\(603\) −8.46896 + 6.75377i −0.344883 + 0.275035i
\(604\) −17.6046 + 36.2589i −0.716322 + 1.47535i
\(605\) −21.0038 4.79398i −0.853925 0.194903i
\(606\) 11.8609 + 5.73532i 0.481816 + 0.232982i
\(607\) 7.25728 0.294564 0.147282 0.989095i \(-0.452948\pi\)
0.147282 + 0.989095i \(0.452948\pi\)
\(608\) 29.6277 23.2417i 1.20156 0.942575i
\(609\) −11.1629 12.5447i −0.452342 0.508336i
\(610\) −6.02214 1.38466i −0.243829 0.0560634i
\(611\) 1.75283 0.400072i 0.0709119 0.0161852i
\(612\) 11.0730 + 2.56468i 0.447600 + 0.103671i
\(613\) 1.01598 + 1.27400i 0.0410351 + 0.0514564i 0.801926 0.597424i \(-0.203809\pi\)
−0.760890 + 0.648880i \(0.775238\pi\)
\(614\) −0.157418 0.0361948i −0.00635285 0.00146070i
\(615\) 2.58958 + 11.3457i 0.104422 + 0.457503i
\(616\) 31.5545 17.1554i 1.27137 0.691212i
\(617\) 7.52719 32.9788i 0.303033 1.32768i −0.562489 0.826805i \(-0.690156\pi\)
0.865522 0.500871i \(-0.166987\pi\)
\(618\) 6.18541 12.7917i 0.248814 0.514558i
\(619\) 22.5205 0.905173 0.452587 0.891720i \(-0.350501\pi\)
0.452587 + 0.891720i \(0.350501\pi\)
\(620\) 2.97241 + 6.22318i 0.119375 + 0.249929i
\(621\) −0.172810 0.358843i −0.00693461 0.0143999i
\(622\) 9.35619 2.11973i 0.375149 0.0849936i
\(623\) 10.9441 + 19.9014i 0.438467 + 0.797333i
\(624\) 3.36266 2.64658i 0.134614 0.105948i
\(625\) 2.84733 12.4750i 0.113893 0.498999i
\(626\) 4.09803 1.96543i 0.163790 0.0785545i
\(627\) 13.8622 + 28.7852i 0.553603 + 1.14957i
\(628\) 26.5038 + 6.13868i 1.05762 + 0.244960i
\(629\) −1.01498 + 2.10762i −0.0404697 + 0.0840362i
\(630\) −5.87394 + 3.21794i −0.234023 + 0.128206i
\(631\) −12.3271 25.5976i −0.490735 1.01902i −0.988431 0.151671i \(-0.951535\pi\)
0.497696 0.867352i \(-0.334180\pi\)
\(632\) −4.90984 + 21.0449i −0.195303 + 0.837123i
\(633\) −8.59297 + 1.96129i −0.341540 + 0.0779542i
\(634\) −15.4025 + 12.2428i −0.611712 + 0.486224i
\(635\) −19.8090 + 24.8397i −0.786096 + 0.985734i
\(636\) 4.68376 + 5.91198i 0.185723 + 0.234425i
\(637\) −3.95729 6.35767i −0.156793 0.251900i
\(638\) −38.7836 18.7537i −1.53546 0.742468i
\(639\) 1.29448 + 1.03232i 0.0512090 + 0.0408378i
\(640\) 18.1466 + 8.99084i 0.717306 + 0.355394i
\(641\) 8.71973 + 38.2036i 0.344409 + 1.50895i 0.789658 + 0.613547i \(0.210258\pi\)
−0.445250 + 0.895407i \(0.646885\pi\)
\(642\) 11.1914 + 14.0797i 0.441688 + 0.555682i
\(643\) 34.4948 16.6118i 1.36034 0.655106i 0.395629 0.918410i \(-0.370527\pi\)
0.964713 + 0.263304i \(0.0848122\pi\)
\(644\) 1.71230 + 1.22870i 0.0674742 + 0.0484174i
\(645\) −19.1628 9.22832i −0.754535 0.363365i
\(646\) −11.8214 52.1781i −0.465109 2.05292i
\(647\) 8.89985 4.28594i 0.349889 0.168498i −0.250681 0.968070i \(-0.580655\pi\)
0.600570 + 0.799572i \(0.294940\pi\)
\(648\) −1.23943 + 2.54240i −0.0486896 + 0.0998749i
\(649\) −37.7779 8.62256i −1.48291 0.338465i
\(650\) 2.44980 1.17494i 0.0960893 0.0460848i
\(651\) 2.95817 4.15048i 0.115940 0.162670i
\(652\) 31.9390 + 7.39755i 1.25083 + 0.289711i
\(653\) −27.5378 + 13.2615i −1.07764 + 0.518963i −0.886561 0.462612i \(-0.846912\pi\)
−0.191077 + 0.981575i \(0.561198\pi\)
\(654\) 2.90724 + 2.32607i 0.113682 + 0.0909566i
\(655\) 28.9497i 1.13116i
\(656\) −25.3157 5.94897i −0.988412 0.232268i
\(657\) −9.83782 2.24542i −0.383810 0.0876021i
\(658\) 2.42798 5.80053i 0.0946527 0.226128i
\(659\) −28.5481 + 6.51591i −1.11207 + 0.253824i −0.738818 0.673905i \(-0.764616\pi\)
−0.373256 + 0.927728i \(0.621759\pi\)
\(660\) −10.7561 + 13.3995i −0.418680 + 0.521574i
\(661\) −7.01218 + 5.59203i −0.272742 + 0.217505i −0.750303 0.661094i \(-0.770092\pi\)
0.477561 + 0.878599i \(0.341521\pi\)
\(662\) −3.53978 15.6241i −0.137577 0.607246i
\(663\) −1.35288 5.92737i −0.0525416 0.230200i
\(664\) 7.51337 + 15.7953i 0.291575 + 0.612977i
\(665\) 25.6725 + 18.2975i 0.995535 + 0.709548i
\(666\) −0.454540 0.363675i −0.0176130 0.0140921i
\(667\) 2.52786i 0.0978792i
\(668\) 19.4195 + 24.5118i 0.751361 + 0.948391i
\(669\) 5.11270 22.4002i 0.197668 0.866041i
\(670\) −0.0439040 + 27.4214i −0.00169616 + 1.05938i
\(671\) 7.30457 + 9.15964i 0.281990 + 0.353604i
\(672\) −0.687842 14.9508i −0.0265341 0.576740i
\(673\) 27.3018 34.2354i 1.05241 1.31968i 0.106830 0.994277i \(-0.465930\pi\)
0.945577 0.325399i \(-0.105499\pi\)
\(674\) 1.48584 + 1.18881i 0.0572323 + 0.0457914i
\(675\) −1.11968 + 1.40404i −0.0430967 + 0.0540415i
\(676\) 21.3298 + 10.3562i 0.820378 + 0.398315i
\(677\) −18.7724 + 14.9705i −0.721483 + 0.575363i −0.913895 0.405951i \(-0.866940\pi\)
0.192412 + 0.981314i \(0.438369\pi\)
\(678\) 7.73929 6.15163i 0.297226 0.236252i
\(679\) 7.42188 + 1.27722i 0.284825 + 0.0490152i
\(680\) 22.5816 17.8314i 0.865964 0.683804i
\(681\) 10.3381 + 4.97856i 0.396157 + 0.190779i
\(682\) 2.93001 12.7431i 0.112196 0.487959i
\(683\) 9.66039 20.0600i 0.369644 0.767575i −0.630317 0.776338i \(-0.717075\pi\)
0.999962 + 0.00876311i \(0.00278942\pi\)
\(684\) 13.3133 + 0.0426317i 0.509048 + 0.00163006i
\(685\) 28.3208i 1.08208i
\(686\) −26.1379 1.67670i −0.997949 0.0640168i
\(687\) 12.7961i 0.488202i
\(688\) 37.3481 29.3948i 1.42388 1.12067i
\(689\) 1.75051 3.63497i 0.0666890 0.138481i
\(690\) −0.982608 0.225930i −0.0374072 0.00860099i
\(691\) −20.1382 9.69803i −0.766092 0.368930i 0.00967251 0.999953i \(-0.496921\pi\)
−0.775764 + 0.631023i \(0.782635\pi\)
\(692\) 4.47925 9.22557i 0.170276 0.350704i
\(693\) 12.5144 + 2.15359i 0.475384 + 0.0818083i
\(694\) 1.71351 + 2.15575i 0.0650441 + 0.0818311i
\(695\) 15.7068 12.5258i 0.595795 0.475130i
\(696\) −14.0887 + 11.1251i −0.534033 + 0.421696i
\(697\) −23.0364 + 28.8867i −0.872565 + 1.09416i
\(698\) 27.0651 33.8274i 1.02443 1.28039i
\(699\) −2.06229 + 2.58603i −0.0780030 + 0.0978127i
\(700\) 1.64159 9.35980i 0.0620463 0.353767i
\(701\) 13.1620 + 16.5046i 0.497122 + 0.623371i 0.965577 0.260116i \(-0.0837608\pi\)
−0.468455 + 0.883487i \(0.655189\pi\)
\(702\) 1.51294 + 0.00242234i 0.0571021 + 9.14254e-5i
\(703\) −0.609718 + 2.67135i −0.0229960 + 0.100752i
\(704\) −16.3265 34.7523i −0.615326 1.30978i
\(705\) 3.00828i 0.113298i
\(706\) −9.58092 + 11.9747i −0.360583 + 0.450674i
\(707\) −20.0715 14.3055i −0.754866 0.538015i
\(708\) −10.1079 + 12.5920i −0.379880 + 0.473238i
\(709\) 7.72521 + 33.8464i 0.290126 + 1.27113i 0.884349 + 0.466826i \(0.154603\pi\)
−0.594223 + 0.804300i \(0.702540\pi\)
\(710\) 4.08777 0.926124i 0.153411 0.0347568i
\(711\) −5.97344 + 4.76366i −0.224022 + 0.178651i
\(712\) 21.9261 10.4296i 0.821716 0.390866i
\(713\) 0.748023 0.170731i 0.0280137 0.00639394i
\(714\) −19.6151 8.21047i −0.734075 0.307269i
\(715\) 8.96057 + 2.04519i 0.335106 + 0.0764859i
\(716\) −16.6684 + 13.2055i −0.622926 + 0.493512i
\(717\) 22.5315i 0.841454i
\(718\) −12.4348 + 15.5417i −0.464064 + 0.580010i
\(719\) −6.94878 + 3.34636i −0.259146 + 0.124798i −0.558946 0.829204i \(-0.688794\pi\)
0.299800 + 0.954002i \(0.403080\pi\)
\(720\) 3.06526 + 6.47077i 0.114236 + 0.241151i
\(721\) −15.4282 + 21.6466i −0.574575 + 0.806162i
\(722\) −15.4797 32.2761i −0.576095 1.20119i
\(723\) 0.985286 + 0.224885i 0.0366432 + 0.00836356i
\(724\) −0.0699577 + 21.8469i −0.00259996 + 0.811934i
\(725\) −10.2692 + 4.94537i −0.381387 + 0.183666i
\(726\) 16.6002 3.76093i 0.616091 0.139581i
\(727\) −23.9353 11.5266i −0.887711 0.427499i −0.0662759 0.997801i \(-0.521112\pi\)
−0.821435 + 0.570302i \(0.806826\pi\)
\(728\) −7.03343 + 3.82391i −0.260676 + 0.141724i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −19.9970 + 15.8948i −0.740123 + 0.588293i
\(731\) −15.0261 65.8336i −0.555760 2.43494i
\(732\) 4.76303 1.07109i 0.176047 0.0395888i
\(733\) 35.5134 + 28.3210i 1.31172 + 1.04606i 0.995239 + 0.0974605i \(0.0310720\pi\)
0.316479 + 0.948600i \(0.397499\pi\)
\(734\) −10.1249 + 20.9387i −0.373717 + 0.772863i
\(735\) 11.8444 4.08826i 0.436888 0.150798i
\(736\) 1.41881 1.75020i 0.0522979 0.0645132i
\(737\) 32.4150 40.6471i 1.19402 1.49726i
\(738\) −5.72101 7.19753i −0.210593 0.264945i
\(739\) −19.8276 + 4.52553i −0.729372 + 0.166474i −0.571052 0.820914i \(-0.693465\pi\)
−0.158319 + 0.987388i \(0.550608\pi\)
\(740\) −1.43772 + 0.323310i −0.0528516 + 0.0118851i
\(741\) −3.08986 6.41616i −0.113509 0.235704i
\(742\) −6.77961 12.3753i −0.248887 0.454312i
\(743\) 7.51060 15.5959i 0.275537 0.572159i −0.716575 0.697510i \(-0.754291\pi\)
0.992112 + 0.125351i \(0.0400056\pi\)
\(744\) −4.24360 3.41763i −0.155578 0.125296i
\(745\) 10.3507 + 21.4934i 0.379220 + 0.787458i
\(746\) 0.0537075 + 0.111983i 0.00196637 + 0.00409999i
\(747\) −1.37609 + 6.02903i −0.0503484 + 0.220591i
\(748\) −54.5520 0.174685i −1.99462 0.00638713i
\(749\) −16.2138 29.4841i −0.592438 1.07732i
\(750\) 3.80127 + 16.7782i 0.138803 + 0.612654i
\(751\) 10.1486 + 21.0739i 0.370329 + 0.768997i 0.999969 0.00789079i \(-0.00251174\pi\)
−0.629640 + 0.776887i \(0.716797\pi\)
\(752\) −6.03783 2.95545i −0.220177 0.107774i
\(753\) −28.2506 −1.02951
\(754\) 8.64479 + 4.18017i 0.314825 + 0.152233i
\(755\) −8.02741 + 35.1704i −0.292147 + 1.27998i
\(756\) 3.08496 4.29919i 0.112199 0.156360i
\(757\) −7.43741 32.5854i −0.270317 1.18434i −0.909640 0.415399i \(-0.863642\pi\)
0.639322 0.768939i \(-0.279215\pi\)
\(758\) −6.59435 + 28.6800i −0.239517 + 1.04170i
\(759\) 1.19186 + 1.49454i 0.0432616 + 0.0542484i
\(760\) 21.1395 26.2484i 0.766809 0.952130i
\(761\) −6.62273 + 1.51160i −0.240074 + 0.0547953i −0.340865 0.940112i \(-0.610720\pi\)
0.100791 + 0.994908i \(0.467863\pi\)
\(762\) 5.62467 24.4627i 0.203760 0.886189i
\(763\) −4.63047 5.20366i −0.167634 0.188385i
\(764\) −12.4206 26.0042i −0.449360 0.940800i
\(765\) 10.1728 0.367798
\(766\) 1.22446 2.53224i 0.0442415 0.0914934i
\(767\) 8.42062 + 1.92195i 0.304051 + 0.0693977i
\(768\) −15.9987 0.204933i −0.577303 0.00739489i
\(769\) 1.16672 0.930424i 0.0420728 0.0335520i −0.602228 0.798324i \(-0.705720\pi\)
0.644300 + 0.764772i \(0.277149\pi\)
\(770\) 24.0486 21.3308i 0.866653 0.768707i
\(771\) 10.5474 + 8.41128i 0.379856 + 0.302925i
\(772\) −45.8052 + 21.878