Properties

Label 475.2.bc.a.396.20
Level $475$
Weight $2$
Character 475.396
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 396.20
Character \(\chi\) \(=\) 475.396
Dual form 475.2.bc.a.6.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.695663 + 0.434699i) q^{2} +(-2.62473 - 0.752630i) q^{3} +(-0.581758 + 1.19278i) q^{4} +(-1.90436 + 1.17193i) q^{5} +(2.15310 - 0.617391i) q^{6} +(2.44900 + 4.24179i) q^{7} +(-0.285284 - 2.71430i) q^{8} +(3.77862 + 2.36115i) q^{9} +O(q^{10})\) \(q+(-0.695663 + 0.434699i) q^{2} +(-2.62473 - 0.752630i) q^{3} +(-0.581758 + 1.19278i) q^{4} +(-1.90436 + 1.17193i) q^{5} +(2.15310 - 0.617391i) q^{6} +(2.44900 + 4.24179i) q^{7} +(-0.285284 - 2.71430i) q^{8} +(3.77862 + 2.36115i) q^{9} +(0.815352 - 1.64309i) q^{10} +(1.65000 + 1.83251i) q^{11} +(2.42468 - 2.69288i) q^{12} +(-0.143033 + 4.09593i) q^{13} +(-3.54758 - 1.88628i) q^{14} +(5.88046 - 1.64274i) q^{15} +(-0.255713 - 0.327297i) q^{16} +(-6.33655 - 0.443095i) q^{17} -3.65504 q^{18} +(2.92849 + 3.22861i) q^{19} +(-0.289987 - 2.95326i) q^{20} +(-3.23547 - 12.9767i) q^{21} +(-1.94444 - 0.557558i) q^{22} +(-5.68316 - 0.798717i) q^{23} +(-1.29407 + 7.33902i) q^{24} +(2.25314 - 4.46356i) q^{25} +(-1.68099 - 2.91156i) q^{26} +(-2.65961 - 2.95379i) q^{27} +(-6.48425 + 0.453423i) q^{28} +(3.11933 - 0.218125i) q^{29} +(-3.37672 + 3.69902i) q^{30} +(-5.14065 - 2.28876i) q^{31} +(5.44948 + 1.98345i) q^{32} +(-2.95161 - 6.05170i) q^{33} +(4.60072 - 2.44624i) q^{34} +(-9.63486 - 5.20781i) q^{35} +(-5.01457 + 3.13345i) q^{36} +(0.109436 + 0.336809i) q^{37} +(-3.44072 - 0.973018i) q^{38} +(3.45814 - 10.6431i) q^{39} +(3.72426 + 4.83465i) q^{40} +(2.63592 + 3.37382i) q^{41} +(7.89177 + 7.62099i) q^{42} +(1.16013 - 6.57941i) q^{43} +(-3.14569 + 0.902011i) q^{44} +(-9.96295 - 0.0681617i) q^{45} +(4.30077 - 1.91483i) q^{46} +(-8.52292 + 0.595980i) q^{47} +(0.424844 + 1.05152i) q^{48} +(-8.49518 + 14.7141i) q^{49} +(0.372878 + 4.08457i) q^{50} +(16.2983 + 5.93208i) q^{51} +(-4.80233 - 2.55345i) q^{52} +(0.964012 - 1.97652i) q^{53} +(3.13420 + 0.898718i) q^{54} +(-5.28978 - 1.55606i) q^{55} +(10.8148 - 7.85742i) q^{56} +(-5.25655 - 10.6783i) q^{57} +(-2.07519 + 1.50771i) q^{58} +(1.52183 - 3.76666i) q^{59} +(-1.46157 + 7.96977i) q^{60} +(7.92439 + 1.11370i) q^{61} +(4.57108 - 0.642424i) q^{62} +(-0.761642 + 21.8106i) q^{63} +(-3.84066 + 0.816358i) q^{64} +(-4.52777 - 7.96773i) q^{65} +(4.68399 + 2.92688i) q^{66} +(2.27834 - 9.13793i) q^{67} +(4.21485 - 7.30033i) q^{68} +(14.3156 + 6.37374i) q^{69} +(8.96645 - 0.565380i) q^{70} +(7.08945 - 6.84621i) q^{71} +(5.33087 - 10.9299i) q^{72} +(0.277453 + 7.94521i) q^{73} +(-0.222541 - 0.186734i) q^{74} +(-9.27329 + 10.0199i) q^{75} +(-5.55470 + 1.61477i) q^{76} +(-3.73228 + 11.4868i) q^{77} +(2.22082 + 8.90724i) q^{78} +(-7.72028 - 2.21375i) q^{79} +(0.870539 + 0.323612i) q^{80} +(-1.10207 - 2.25957i) q^{81} +(-3.30031 - 1.20121i) q^{82} +(5.56314 + 2.47687i) q^{83} +(17.3607 + 3.69012i) q^{84} +(12.5863 - 6.58221i) q^{85} +(2.05300 + 5.08136i) q^{86} +(-8.35158 - 1.77518i) q^{87} +(4.50327 - 5.00138i) q^{88} +(-2.04025 + 2.61141i) q^{89} +(6.96049 - 4.28346i) q^{90} +(-17.7244 + 9.42420i) q^{91} +(4.25892 - 6.31411i) q^{92} +(11.7702 + 9.87640i) q^{93} +(5.67001 - 4.11950i) q^{94} +(-9.36061 - 2.71643i) q^{95} +(-12.8106 - 9.30745i) q^{96} +(1.26662 + 5.08015i) q^{97} +(-0.486408 - 13.9289i) q^{98} +(1.90791 + 10.8203i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1152 q - 18 q^{2} - 18 q^{3} - 18 q^{4} - 24 q^{5} - 18 q^{6} - 30 q^{7} - 9 q^{8} - 18 q^{9} - 33 q^{10} - 9 q^{12} - 18 q^{13} - 18 q^{14} + 27 q^{15} - 30 q^{16} - 36 q^{17} - 144 q^{18} - 18 q^{19} - 54 q^{20} + 9 q^{21} + 6 q^{22} - 24 q^{23} - 120 q^{24} - 90 q^{25} - 24 q^{26} - 9 q^{27} + 54 q^{28} + 9 q^{30} - 45 q^{31} - 138 q^{32} + 54 q^{33} - 18 q^{34} + 45 q^{35} - 72 q^{36} - 36 q^{37} + 93 q^{38} - 36 q^{39} + 57 q^{40} - 18 q^{41} + 36 q^{42} - 252 q^{43} - 42 q^{44} - 90 q^{45} - 69 q^{46} - 18 q^{47} + 6 q^{48} - 486 q^{49} + 21 q^{50} + 12 q^{51} - 36 q^{53} - 120 q^{54} - 3 q^{55} + 234 q^{56} + 90 q^{57} + 180 q^{58} + 18 q^{59} + 69 q^{60} - 90 q^{61} - 144 q^{62} - 27 q^{63} + 93 q^{64} - 72 q^{65} + 42 q^{66} + 54 q^{67} - 48 q^{68} - 57 q^{69} + 12 q^{70} - 60 q^{71} - 318 q^{72} - 36 q^{73} - 66 q^{74} - 132 q^{75} - 48 q^{76} + 222 q^{77} - 39 q^{78} + 6 q^{79} + 129 q^{80} - 84 q^{81} + 120 q^{82} + 45 q^{83} - 63 q^{84} - 18 q^{85} + 72 q^{86} - 33 q^{87} - 45 q^{88} + 18 q^{89} + 57 q^{90} + 45 q^{91} + 324 q^{92} - 78 q^{93} - 24 q^{94} + 81 q^{95} - 132 q^{96} - 96 q^{97} - 153 q^{98} - 6 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{3}{5}\right)\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.695663 + 0.434699i −0.491908 + 0.307378i −0.753097 0.657909i \(-0.771441\pi\)
0.261189 + 0.965288i \(0.415885\pi\)
\(3\) −2.62473 0.752630i −1.51539 0.434531i −0.588073 0.808808i \(-0.700113\pi\)
−0.927317 + 0.374277i \(0.877891\pi\)
\(4\) −0.581758 + 1.19278i −0.290879 + 0.596390i
\(5\) −1.90436 + 1.17193i −0.851654 + 0.524105i
\(6\) 2.15310 0.617391i 0.878998 0.252049i
\(7\) 2.44900 + 4.24179i 0.925634 + 1.60325i 0.790538 + 0.612413i \(0.209801\pi\)
0.135096 + 0.990832i \(0.456866\pi\)
\(8\) −0.285284 2.71430i −0.100863 0.959649i
\(9\) 3.77862 + 2.36115i 1.25954 + 0.787049i
\(10\) 0.815352 1.64309i 0.257837 0.519592i
\(11\) 1.65000 + 1.83251i 0.497494 + 0.552523i 0.938634 0.344915i \(-0.112092\pi\)
−0.441140 + 0.897439i \(0.645426\pi\)
\(12\) 2.42468 2.69288i 0.699945 0.777368i
\(13\) −0.143033 + 4.09593i −0.0396702 + 1.13601i 0.802451 + 0.596718i \(0.203529\pi\)
−0.842121 + 0.539288i \(0.818693\pi\)
\(14\) −3.54758 1.88628i −0.948130 0.504130i
\(15\) 5.88046 1.64274i 1.51833 0.424154i
\(16\) −0.255713 0.327297i −0.0639282 0.0818243i
\(17\) −6.33655 0.443095i −1.53684 0.107466i −0.723936 0.689867i \(-0.757669\pi\)
−0.812902 + 0.582401i \(0.802114\pi\)
\(18\) −3.65504 −0.861500
\(19\) 2.92849 + 3.22861i 0.671842 + 0.740695i
\(20\) −0.289987 2.95326i −0.0648430 0.660369i
\(21\) −3.23547 12.9767i −0.706037 2.83176i
\(22\) −1.94444 0.557558i −0.414555 0.118872i
\(23\) −5.68316 0.798717i −1.18502 0.166544i −0.480999 0.876721i \(-0.659726\pi\)
−0.704023 + 0.710177i \(0.748615\pi\)
\(24\) −1.29407 + 7.33902i −0.264150 + 1.49807i
\(25\) 2.25314 4.46356i 0.450628 0.892712i
\(26\) −1.68099 2.91156i −0.329670 0.571005i
\(27\) −2.65961 2.95379i −0.511842 0.568458i
\(28\) −6.48425 + 0.453423i −1.22541 + 0.0856888i
\(29\) 3.11933 0.218125i 0.579245 0.0405048i 0.222871 0.974848i \(-0.428457\pi\)
0.356375 + 0.934343i \(0.384013\pi\)
\(30\) −3.37672 + 3.69902i −0.616502 + 0.675346i
\(31\) −5.14065 2.28876i −0.923288 0.411074i −0.110661 0.993858i \(-0.535297\pi\)
−0.812627 + 0.582784i \(0.801963\pi\)
\(32\) 5.44948 + 1.98345i 0.963340 + 0.350627i
\(33\) −2.95161 6.05170i −0.513809 1.05347i
\(34\) 4.60072 2.44624i 0.789016 0.419527i
\(35\) −9.63486 5.20781i −1.62859 0.880280i
\(36\) −5.01457 + 3.13345i −0.835762 + 0.522242i
\(37\) 0.109436 + 0.336809i 0.0179911 + 0.0553710i 0.959649 0.281201i \(-0.0907326\pi\)
−0.941658 + 0.336572i \(0.890733\pi\)
\(38\) −3.44072 0.973018i −0.558158 0.157844i
\(39\) 3.45814 10.6431i 0.553746 1.70425i
\(40\) 3.72426 + 4.83465i 0.588857 + 0.764426i
\(41\) 2.63592 + 3.37382i 0.411661 + 0.526902i 0.948498 0.316784i \(-0.102603\pi\)
−0.536837 + 0.843686i \(0.680381\pi\)
\(42\) 7.89177 + 7.62099i 1.21773 + 1.17595i
\(43\) 1.16013 6.57941i 0.176918 1.00335i −0.758989 0.651104i \(-0.774306\pi\)
0.935907 0.352248i \(-0.114583\pi\)
\(44\) −3.14569 + 0.902011i −0.474230 + 0.135983i
\(45\) −9.96295 0.0681617i −1.48519 0.0101609i
\(46\) 4.30077 1.91483i 0.634114 0.282326i
\(47\) −8.52292 + 0.595980i −1.24320 + 0.0869327i −0.676156 0.736758i \(-0.736356\pi\)
−0.567039 + 0.823691i \(0.691911\pi\)
\(48\) 0.424844 + 1.05152i 0.0613209 + 0.151775i
\(49\) −8.49518 + 14.7141i −1.21360 + 2.10201i
\(50\) 0.372878 + 4.08457i 0.0527328 + 0.577646i
\(51\) 16.2983 + 5.93208i 2.28221 + 0.830657i
\(52\) −4.80233 2.55345i −0.665964 0.354099i
\(53\) 0.964012 1.97652i 0.132417 0.271496i −0.822275 0.569090i \(-0.807295\pi\)
0.954692 + 0.297595i \(0.0961844\pi\)
\(54\) 3.13420 + 0.898718i 0.426511 + 0.122300i
\(55\) −5.28978 1.55606i −0.713273 0.209819i
\(56\) 10.8148 7.85742i 1.44519 1.04999i
\(57\) −5.25655 10.6783i −0.696247 1.41438i
\(58\) −2.07519 + 1.50771i −0.272485 + 0.197972i
\(59\) 1.52183 3.76666i 0.198125 0.490377i −0.795114 0.606460i \(-0.792589\pi\)
0.993240 + 0.116082i \(0.0370336\pi\)
\(60\) −1.46157 + 7.96977i −0.188688 + 1.02889i
\(61\) 7.92439 + 1.11370i 1.01461 + 0.142595i 0.626831 0.779156i \(-0.284352\pi\)
0.387784 + 0.921750i \(0.373241\pi\)
\(62\) 4.57108 0.642424i 0.580528 0.0815879i
\(63\) −0.761642 + 21.8106i −0.0959578 + 2.74787i
\(64\) −3.84066 + 0.816358i −0.480083 + 0.102045i
\(65\) −4.52777 7.96773i −0.561601 0.988275i
\(66\) 4.68399 + 2.92688i 0.576559 + 0.360274i
\(67\) 2.27834 9.13793i 0.278344 1.11638i −0.654490 0.756070i \(-0.727117\pi\)
0.932834 0.360306i \(-0.117328\pi\)
\(68\) 4.21485 7.30033i 0.511126 0.885296i
\(69\) 14.3156 + 6.37374i 1.72340 + 0.767308i
\(70\) 8.96645 0.565380i 1.07170 0.0675759i
\(71\) 7.08945 6.84621i 0.841363 0.812495i −0.142801 0.989751i \(-0.545611\pi\)
0.984165 + 0.177256i \(0.0567221\pi\)
\(72\) 5.33087 10.9299i 0.628249 1.28810i
\(73\) 0.277453 + 7.94521i 0.0324734 + 0.929917i 0.900881 + 0.434066i \(0.142922\pi\)
−0.868408 + 0.495851i \(0.834856\pi\)
\(74\) −0.222541 0.186734i −0.0258699 0.0217074i
\(75\) −9.27329 + 10.0199i −1.07079 + 1.15699i
\(76\) −5.55470 + 1.61477i −0.637168 + 0.185227i
\(77\) −3.73228 + 11.4868i −0.425333 + 1.30904i
\(78\) 2.22082 + 8.90724i 0.251459 + 1.00855i
\(79\) −7.72028 2.21375i −0.868599 0.249067i −0.188398 0.982093i \(-0.560330\pi\)
−0.680201 + 0.733026i \(0.738107\pi\)
\(80\) 0.870539 + 0.323612i 0.0973292 + 0.0361809i
\(81\) −1.10207 2.25957i −0.122452 0.251064i
\(82\) −3.30031 1.20121i −0.364458 0.132652i
\(83\) 5.56314 + 2.47687i 0.610634 + 0.271872i 0.688666 0.725079i \(-0.258197\pi\)
−0.0780313 + 0.996951i \(0.524863\pi\)
\(84\) 17.3607 + 3.69012i 1.89420 + 0.402626i
\(85\) 12.5863 6.58221i 1.36518 0.713941i
\(86\) 2.05300 + 5.08136i 0.221381 + 0.547937i
\(87\) −8.35158 1.77518i −0.895383 0.190320i
\(88\) 4.50327 5.00138i 0.480050 0.533149i
\(89\) −2.04025 + 2.61141i −0.216266 + 0.276808i −0.883894 0.467687i \(-0.845088\pi\)
0.667628 + 0.744495i \(0.267310\pi\)
\(90\) 6.96049 4.28346i 0.733700 0.451517i
\(91\) −17.7244 + 9.42420i −1.85802 + 0.987925i
\(92\) 4.25892 6.31411i 0.444023 0.658291i
\(93\) 11.7702 + 9.87640i 1.22052 + 1.02414i
\(94\) 5.67001 4.11950i 0.584817 0.424894i
\(95\) −9.36061 2.71643i −0.960378 0.278700i
\(96\) −12.8106 9.30745i −1.30748 0.949938i
\(97\) 1.26662 + 5.08015i 0.128606 + 0.515812i 0.999695 + 0.0246863i \(0.00785870\pi\)
−0.871089 + 0.491125i \(0.836586\pi\)
\(98\) −0.486408 13.9289i −0.0491346 1.40703i
\(99\) 1.90791 + 10.8203i 0.191752 + 1.08748i
\(100\) 4.01326 + 5.28421i 0.401326 + 0.528421i
\(101\) 2.22480 + 0.809762i 0.221376 + 0.0805743i 0.450327 0.892864i \(-0.351307\pi\)
−0.228951 + 0.973438i \(0.573530\pi\)
\(102\) −13.9168 + 2.95810i −1.37796 + 0.292895i
\(103\) 3.66366 1.63117i 0.360992 0.160724i −0.218223 0.975899i \(-0.570026\pi\)
0.579215 + 0.815175i \(0.303359\pi\)
\(104\) 11.1584 0.780269i 1.09417 0.0765117i
\(105\) 21.3694 + 20.9206i 2.08544 + 2.04164i
\(106\) 0.188562 + 1.79405i 0.0183147 + 0.174253i
\(107\) −4.17457 7.23058i −0.403571 0.699006i 0.590583 0.806977i \(-0.298898\pi\)
−0.994154 + 0.107971i \(0.965565\pi\)
\(108\) 5.07048 1.45394i 0.487907 0.139905i
\(109\) −14.7435 + 2.07206i −1.41217 + 0.198467i −0.803664 0.595083i \(-0.797119\pi\)
−0.608505 + 0.793550i \(0.708230\pi\)
\(110\) 4.35632 1.21696i 0.415359 0.116033i
\(111\) −0.0337474 0.966398i −0.00320316 0.0917264i
\(112\) 0.762086 1.88623i 0.0720104 0.178232i
\(113\) 2.46086 + 7.57373i 0.231498 + 0.712477i 0.997567 + 0.0697185i \(0.0222101\pi\)
−0.766069 + 0.642758i \(0.777790\pi\)
\(114\) 8.29864 + 5.14350i 0.777239 + 0.481733i
\(115\) 11.7588 5.13926i 1.09651 0.479238i
\(116\) −1.55452 + 3.84757i −0.144334 + 0.357238i
\(117\) −10.2116 + 15.1393i −0.944058 + 1.39962i
\(118\) 0.578681 + 3.28186i 0.0532719 + 0.302120i
\(119\) −13.6387 27.9634i −1.25026 2.56340i
\(120\) −6.13649 15.4927i −0.560182 1.41428i
\(121\) 0.514216 4.89244i 0.0467469 0.444767i
\(122\) −5.99683 + 2.66996i −0.542928 + 0.241727i
\(123\) −4.37934 10.8392i −0.394872 0.977342i
\(124\) 5.72061 4.80016i 0.513726 0.431067i
\(125\) 0.940223 + 11.1407i 0.0840961 + 0.996458i
\(126\) −8.95118 15.5039i −0.797434 1.38120i
\(127\) 4.23560 5.42132i 0.375849 0.481065i −0.562479 0.826812i \(-0.690152\pi\)
0.938328 + 0.345747i \(0.112374\pi\)
\(128\) −6.02627 + 5.81950i −0.532652 + 0.514376i
\(129\) −7.99689 + 16.3961i −0.704087 + 1.44359i
\(130\) 6.61337 + 3.57464i 0.580031 + 0.313517i
\(131\) 9.49035 + 0.663630i 0.829175 + 0.0579816i 0.478034 0.878341i \(-0.341349\pi\)
0.351141 + 0.936323i \(0.385794\pi\)
\(132\) 8.93547 0.777733
\(133\) −6.52323 + 20.3289i −0.565636 + 1.76274i
\(134\) 2.38729 + 7.34732i 0.206230 + 0.634711i
\(135\) 8.52649 + 2.50819i 0.733844 + 0.215870i
\(136\) 0.605026 + 17.3257i 0.0518806 + 1.48566i
\(137\) −15.4706 + 8.22584i −1.32174 + 0.702781i −0.972202 0.234142i \(-0.924772\pi\)
−0.349536 + 0.936923i \(0.613661\pi\)
\(138\) −12.7295 + 1.78902i −1.08361 + 0.152291i
\(139\) −3.18488 + 4.07646i −0.270138 + 0.345760i −0.903882 0.427782i \(-0.859295\pi\)
0.633744 + 0.773543i \(0.281517\pi\)
\(140\) 11.8169 8.46259i 0.998713 0.715219i
\(141\) 22.8189 + 4.85031i 1.92170 + 0.408470i
\(142\) −1.95584 + 7.84443i −0.164130 + 0.658290i
\(143\) −7.74185 + 6.49618i −0.647406 + 0.543238i
\(144\) −0.193445 1.84051i −0.0161204 0.153376i
\(145\) −5.68469 + 4.07104i −0.472088 + 0.338082i
\(146\) −3.64679 5.40659i −0.301810 0.447452i
\(147\) 33.3718 32.2268i 2.75246 2.65802i
\(148\) −0.465404 0.0654083i −0.0382560 0.00537653i
\(149\) −5.79868 + 2.11055i −0.475047 + 0.172903i −0.568437 0.822727i \(-0.692452\pi\)
0.0933904 + 0.995630i \(0.470230\pi\)
\(150\) 2.09547 11.0015i 0.171094 0.898272i
\(151\) −18.8439 −1.53349 −0.766747 0.641950i \(-0.778126\pi\)
−0.766747 + 0.641950i \(0.778126\pi\)
\(152\) 7.92797 8.86986i 0.643043 0.719441i
\(153\) −22.8972 16.6358i −1.85113 1.34492i
\(154\) −2.39688 9.61335i −0.193146 0.774666i
\(155\) 12.4719 1.66588i 1.00177 0.133807i
\(156\) 10.6830 + 10.3165i 0.855328 + 0.825980i
\(157\) −2.43786 + 13.8258i −0.194562 + 1.10342i 0.718479 + 0.695549i \(0.244839\pi\)
−0.913041 + 0.407868i \(0.866272\pi\)
\(158\) 6.33303 1.81597i 0.503829 0.144471i
\(159\) −4.01786 + 4.46229i −0.318637 + 0.353882i
\(160\) −12.7022 + 2.60924i −1.00420 + 0.206279i
\(161\) −10.5301 26.0628i −0.829886 2.05404i
\(162\) 1.74890 + 1.09283i 0.137407 + 0.0858612i
\(163\) 4.12654 + 0.877122i 0.323215 + 0.0687015i 0.366662 0.930354i \(-0.380501\pi\)
−0.0434467 + 0.999056i \(0.513834\pi\)
\(164\) −5.55769 + 1.18132i −0.433983 + 0.0922459i
\(165\) 12.7131 + 8.06549i 0.989714 + 0.627897i
\(166\) −4.94677 + 0.695223i −0.383944 + 0.0539598i
\(167\) −2.56873 2.48059i −0.198774 0.191954i 0.588609 0.808418i \(-0.299676\pi\)
−0.787383 + 0.616464i \(0.788565\pi\)
\(168\) −34.2997 + 12.4841i −2.64628 + 0.963168i
\(169\) −3.78784 0.264871i −0.291372 0.0203747i
\(170\) −5.89456 + 10.0503i −0.452092 + 0.770819i
\(171\) 3.44243 + 19.1143i 0.263249 + 1.46171i
\(172\) 7.17288 + 5.21140i 0.546927 + 0.397366i
\(173\) 15.9595 9.97258i 1.21338 0.758201i 0.236421 0.971651i \(-0.424025\pi\)
0.976954 + 0.213449i \(0.0684699\pi\)
\(174\) 6.58156 2.39549i 0.498947 0.181602i
\(175\) 24.4514 1.37391i 1.84835 0.103858i
\(176\) 0.177850 1.00864i 0.0134060 0.0760289i
\(177\) −6.82930 + 8.74110i −0.513321 + 0.657021i
\(178\) 0.284155 2.70355i 0.0212983 0.202640i
\(179\) −7.17465 + 3.19436i −0.536258 + 0.238758i −0.656952 0.753932i \(-0.728155\pi\)
0.120694 + 0.992690i \(0.461488\pi\)
\(180\) 5.87733 11.8440i 0.438070 0.882797i
\(181\) −1.12265 + 4.50269i −0.0834457 + 0.334683i −0.997479 0.0709556i \(-0.977395\pi\)
0.914034 + 0.405638i \(0.132951\pi\)
\(182\) 8.23349 14.2608i 0.610307 1.05708i
\(183\) −19.9612 8.88730i −1.47557 0.656968i
\(184\) −0.546638 + 15.6537i −0.0402987 + 1.15400i
\(185\) −0.603123 0.513152i −0.0443425 0.0377277i
\(186\) −12.4814 1.75414i −0.915179 0.128620i
\(187\) −9.64334 12.3429i −0.705191 0.902603i
\(188\) 4.24740 10.5127i 0.309773 0.766716i
\(189\) 6.01600 18.5153i 0.437599 1.34679i
\(190\) 7.69266 2.17932i 0.558084 0.158105i
\(191\) 4.07392 + 12.5382i 0.294778 + 0.907234i 0.983296 + 0.182015i \(0.0582618\pi\)
−0.688518 + 0.725220i \(0.741738\pi\)
\(192\) 10.6951 + 0.747876i 0.771854 + 0.0539733i
\(193\) 12.6649 4.60966i 0.911643 0.331811i 0.156734 0.987641i \(-0.449903\pi\)
0.754909 + 0.655830i \(0.227681\pi\)
\(194\) −3.08948 2.98348i −0.221812 0.214201i
\(195\) 5.88745 + 24.3209i 0.421609 + 1.74166i
\(196\) −12.6085 18.6929i −0.900609 1.33521i
\(197\) −0.927800 + 8.82743i −0.0661030 + 0.628928i 0.910445 + 0.413630i \(0.135739\pi\)
−0.976548 + 0.215299i \(0.930927\pi\)
\(198\) −6.03082 6.69790i −0.428592 0.475999i
\(199\) 10.2713 8.61863i 0.728112 0.610959i −0.201504 0.979488i \(-0.564583\pi\)
0.929616 + 0.368529i \(0.120138\pi\)
\(200\) −12.7582 4.84231i −0.902142 0.342403i
\(201\) −12.8575 + 22.2699i −0.906900 + 1.57080i
\(202\) −1.89972 + 0.403797i −0.133664 + 0.0284111i
\(203\) 8.56448 + 12.6974i 0.601109 + 0.891180i
\(204\) −16.5573 + 15.9892i −1.15924 + 1.11947i
\(205\) −8.97362 3.33583i −0.626745 0.232985i
\(206\) −1.83961 + 2.72733i −0.128172 + 0.190022i
\(207\) −19.5887 16.4368i −1.36151 1.14244i
\(208\) 1.37716 1.00057i 0.0954890 0.0693768i
\(209\) −1.08446 + 10.6937i −0.0750139 + 0.739700i
\(210\) −23.9600 5.26444i −1.65340 0.363281i
\(211\) −3.93937 + 2.46159i −0.271198 + 0.169463i −0.658700 0.752406i \(-0.728893\pi\)
0.387502 + 0.921869i \(0.373338\pi\)
\(212\) 1.79673 + 2.29971i 0.123400 + 0.157945i
\(213\) −23.7606 + 12.6337i −1.62805 + 0.865648i
\(214\) 6.04722 + 3.21536i 0.413379 + 0.219798i
\(215\) 5.50135 + 13.8891i 0.375189 + 0.947231i
\(216\) −7.25873 + 8.06164i −0.493894 + 0.548525i
\(217\) −2.88098 27.4107i −0.195574 1.86076i
\(218\) 9.35577 7.85043i 0.633653 0.531698i
\(219\) 5.25157 21.0629i 0.354868 1.42330i
\(220\) 4.93341 5.40429i 0.332610 0.364357i
\(221\) 2.72122 25.8907i 0.183049 1.74159i
\(222\) 0.443569 + 0.657618i 0.0297704 + 0.0441364i
\(223\) 0.611537 + 0.325160i 0.0409516 + 0.0217743i 0.489821 0.871823i \(-0.337062\pi\)
−0.448870 + 0.893597i \(0.648173\pi\)
\(224\) 4.93239 + 27.9730i 0.329559 + 1.86902i
\(225\) 19.0529 11.5461i 1.27019 0.769742i
\(226\) −5.00422 4.19904i −0.332876 0.279316i
\(227\) 4.02860 12.3988i 0.267388 0.822935i −0.723746 0.690067i \(-0.757581\pi\)
0.991134 0.132868i \(-0.0424187\pi\)
\(228\) 15.7949 0.0577148i 1.04604 0.00382225i
\(229\) −9.45589 6.87010i −0.624863 0.453989i 0.229754 0.973249i \(-0.426208\pi\)
−0.854617 + 0.519260i \(0.826208\pi\)
\(230\) −5.94614 + 8.68673i −0.392077 + 0.572786i
\(231\) 18.4415 27.3407i 1.21336 1.79889i
\(232\) −1.48195 8.40457i −0.0972949 0.551787i
\(233\) −1.54561 3.16896i −0.101256 0.207605i 0.842152 0.539241i \(-0.181289\pi\)
−0.943408 + 0.331635i \(0.892400\pi\)
\(234\) 0.522791 14.9708i 0.0341759 0.978670i
\(235\) 15.5322 11.1233i 1.01321 0.725601i
\(236\) 3.60746 + 4.00649i 0.234826 + 0.260800i
\(237\) 18.5975 + 11.6210i 1.20804 + 0.754866i
\(238\) 21.6436 + 13.5244i 1.40295 + 0.876658i
\(239\) −1.69109 1.87815i −0.109388 0.121487i 0.685964 0.727635i \(-0.259381\pi\)
−0.795352 + 0.606148i \(0.792714\pi\)
\(240\) −2.04137 1.50459i −0.131770 0.0971207i
\(241\) 0.263826 7.55499i 0.0169945 0.486660i −0.960818 0.277179i \(-0.910600\pi\)
0.977813 0.209481i \(-0.0671773\pi\)
\(242\) 1.76902 + 3.62702i 0.113717 + 0.233154i
\(243\) 3.26262 + 18.5032i 0.209297 + 1.18698i
\(244\) −5.93848 + 8.80415i −0.380172 + 0.563628i
\(245\) −1.06610 37.9766i −0.0681107 2.42624i
\(246\) 7.75835 + 5.63677i 0.494654 + 0.359387i
\(247\) −13.6430 + 11.5331i −0.868086 + 0.733833i
\(248\) −4.74584 + 14.6062i −0.301361 + 0.927495i
\(249\) −12.7376 10.6881i −0.807212 0.677332i
\(250\) −5.49694 7.34149i −0.347657 0.464316i
\(251\) −3.28853 18.6502i −0.207570 1.17719i −0.893344 0.449374i \(-0.851647\pi\)
0.685773 0.727815i \(-0.259464\pi\)
\(252\) −25.5721 13.5969i −1.61089 0.856527i
\(253\) −7.91357 11.7324i −0.497522 0.737607i
\(254\) −0.589911 + 5.61262i −0.0370143 + 0.352167i
\(255\) −37.9897 + 7.80370i −2.37901 + 0.488687i
\(256\) 3.56232 14.2877i 0.222645 0.892980i
\(257\) 15.5453 13.0440i 0.969688 0.813665i −0.0128140 0.999918i \(-0.504079\pi\)
0.982502 + 0.186253i \(0.0596345\pi\)
\(258\) −1.56420 14.8824i −0.0973828 0.926536i
\(259\) −1.16066 + 1.28905i −0.0721202 + 0.0800975i
\(260\) 12.1378 0.765352i 0.752755 0.0474651i
\(261\) 12.3018 + 6.54099i 0.761463 + 0.404877i
\(262\) −6.89056 + 3.66378i −0.425700 + 0.226349i
\(263\) 1.90166 + 2.43402i 0.117262 + 0.150088i 0.843060 0.537819i \(-0.180752\pi\)
−0.725798 + 0.687907i \(0.758530\pi\)
\(264\) −15.5841 + 9.73800i −0.959133 + 0.599333i
\(265\) 0.480528 + 4.89375i 0.0295186 + 0.300621i
\(266\) −4.29897 16.9777i −0.263587 1.04097i
\(267\) 7.32054 5.31868i 0.448010 0.325498i
\(268\) 9.57410 + 8.03363i 0.584831 + 0.490732i
\(269\) −16.0525 + 23.7988i −0.978739 + 1.45104i −0.0882172 + 0.996101i \(0.528117\pi\)
−0.890522 + 0.454940i \(0.849661\pi\)
\(270\) −7.02187 + 1.96160i −0.427338 + 0.119379i
\(271\) −23.2198 + 22.4231i −1.41050 + 1.36211i −0.568446 + 0.822720i \(0.692455\pi\)
−0.842058 + 0.539387i \(0.818656\pi\)
\(272\) 1.47531 + 2.18724i 0.0894539 + 0.132621i
\(273\) 53.6146 11.3961i 3.24490 0.689726i
\(274\) 7.18654 12.4474i 0.434155 0.751978i
\(275\) 11.8972 3.23598i 0.717429 0.195137i
\(276\) −15.9307 + 13.3675i −0.958916 + 0.804626i
\(277\) 17.8408 + 19.8142i 1.07195 + 1.19052i 0.980867 + 0.194677i \(0.0623659\pi\)
0.0910822 + 0.995843i \(0.470967\pi\)
\(278\) 0.443572 4.22030i 0.0266037 0.253117i
\(279\) −14.0205 20.7862i −0.839384 1.24444i
\(280\) −11.3869 + 27.6376i −0.680495 + 1.65166i
\(281\) 0.100554 + 0.0971037i 0.00599854 + 0.00579272i 0.697652 0.716437i \(-0.254228\pi\)
−0.691653 + 0.722230i \(0.743117\pi\)
\(282\) −17.9827 + 6.54517i −1.07086 + 0.389759i
\(283\) 19.4263 + 1.35842i 1.15477 + 0.0807497i 0.634272 0.773110i \(-0.281300\pi\)
0.520503 + 0.853860i \(0.325745\pi\)
\(284\) 4.04167 + 12.4390i 0.239829 + 0.738119i
\(285\) 22.5246 + 14.1750i 1.33424 + 0.839653i
\(286\) 2.56184 7.88452i 0.151485 0.466222i
\(287\) −7.85568 + 19.4435i −0.463706 + 1.14771i
\(288\) 15.9083 + 20.3617i 0.937406 + 1.19983i
\(289\) 23.1209 + 3.24944i 1.36006 + 0.191143i
\(290\) 2.18495 5.30320i 0.128305 0.311415i
\(291\) 0.498925 14.2873i 0.0292475 0.837539i
\(292\) −9.63831 4.29125i −0.564039 0.251126i
\(293\) −2.39326 + 4.14525i −0.139816 + 0.242168i −0.927427 0.374005i \(-0.877984\pi\)
0.787611 + 0.616173i \(0.211318\pi\)
\(294\) −9.20661 + 36.9257i −0.536940 + 2.15355i
\(295\) 1.51618 + 8.95654i 0.0882751 + 0.521470i
\(296\) 0.882979 0.393128i 0.0513221 0.0228501i
\(297\) 1.02451 9.74753i 0.0594479 0.565609i
\(298\) 3.11648 3.98891i 0.180533 0.231071i
\(299\) 4.08437 23.1636i 0.236205 1.33959i
\(300\) −6.55669 16.8901i −0.378551 0.975153i
\(301\) 30.7496 11.1920i 1.77238 0.645093i
\(302\) 13.1090 8.19141i 0.754338 0.471363i
\(303\) −5.23006 3.79986i −0.300459 0.218296i
\(304\) 0.307865 1.78408i 0.0176573 0.102324i
\(305\) −16.3960 + 7.16599i −0.938835 + 0.410323i
\(306\) 23.1603 + 1.61953i 1.32399 + 0.0925822i
\(307\) −23.4034 + 8.51814i −1.33570 + 0.486156i −0.908457 0.417979i \(-0.862738\pi\)
−0.427246 + 0.904135i \(0.640516\pi\)
\(308\) −11.5299 11.1343i −0.656978 0.634437i
\(309\) −10.8438 + 1.52400i −0.616882 + 0.0866972i
\(310\) −7.95209 + 6.58042i −0.451648 + 0.373743i
\(311\) −10.1841 + 2.16470i −0.577488 + 0.122749i −0.487391 0.873184i \(-0.662051\pi\)
−0.0900974 + 0.995933i \(0.528718\pi\)
\(312\) −29.8750 6.35013i −1.69134 0.359505i
\(313\) 11.7056 + 7.31446i 0.661638 + 0.413438i 0.818755 0.574142i \(-0.194664\pi\)
−0.157117 + 0.987580i \(0.550220\pi\)
\(314\) −4.31412 10.6778i −0.243460 0.602584i
\(315\) −24.1101 42.4277i −1.35845 2.39053i
\(316\) 7.13185 7.92072i 0.401198 0.445576i
\(317\) −17.2965 + 4.95968i −0.971466 + 0.278563i −0.723591 0.690229i \(-0.757510\pi\)
−0.247875 + 0.968792i \(0.579732\pi\)
\(318\) 0.855328 4.85081i 0.0479644 0.272020i
\(319\) 5.54662 + 5.35631i 0.310551 + 0.299896i
\(320\) 6.35727 6.05564i 0.355382 0.338521i
\(321\) 5.51519 + 22.1202i 0.307828 + 1.23463i
\(322\) 18.6549 + 13.5536i 1.03959 + 0.755310i
\(323\) −17.1259 21.7559i −0.952912 1.21053i
\(324\) 3.33631 0.185351
\(325\) 17.9601 + 9.86713i 0.996250 + 0.547330i
\(326\) −3.25196 + 1.18362i −0.180110 + 0.0655545i
\(327\) 40.2572 + 5.65778i 2.22623 + 0.312876i
\(328\) 8.40557 8.11716i 0.464120 0.448195i
\(329\) −23.4006 34.6929i −1.29012 1.91268i
\(330\) −12.3501 0.0844934i −0.679851 0.00465121i
\(331\) −0.461106 4.38713i −0.0253447 0.241138i −0.999859 0.0168117i \(-0.994648\pi\)
0.974514 0.224327i \(-0.0720183\pi\)
\(332\) −6.19077 + 5.19467i −0.339762 + 0.285095i
\(333\) −0.381738 + 1.53107i −0.0209191 + 0.0839020i
\(334\) 2.86528 + 0.609033i 0.156781 + 0.0333248i
\(335\) 6.37028 + 20.0719i 0.348046 + 1.09665i
\(336\) −3.41990 + 4.37728i −0.186571 + 0.238800i
\(337\) 10.5138 1.47762i 0.572725 0.0804913i 0.153136 0.988205i \(-0.451063\pi\)
0.419590 + 0.907714i \(0.362174\pi\)
\(338\) 2.75020 1.46231i 0.149591 0.0795390i
\(339\) −0.758868 21.7311i −0.0412161 1.18027i
\(340\) 0.528942 + 18.8420i 0.0286859 + 1.02185i
\(341\) −4.28789 13.1968i −0.232202 0.714645i
\(342\) −10.7037 11.8007i −0.578792 0.638109i
\(343\) −48.9328 −2.64212
\(344\) −18.1895 1.27193i −0.980710 0.0685779i
\(345\) −34.7317 + 4.63914i −1.86989 + 0.249763i
\(346\) −6.76735 + 13.8751i −0.363815 + 0.745931i
\(347\) −13.5122 + 13.0486i −0.725375 + 0.700487i −0.962587 0.270971i \(-0.912655\pi\)
0.237212 + 0.971458i \(0.423766\pi\)
\(348\) 6.97600 8.92887i 0.373953 0.478638i
\(349\) −6.75464 11.6994i −0.361568 0.626254i 0.626651 0.779300i \(-0.284425\pi\)
−0.988219 + 0.153046i \(0.951092\pi\)
\(350\) −16.4127 + 11.5848i −0.877296 + 0.619232i
\(351\) 12.4789 10.4711i 0.666077 0.558905i
\(352\) 5.35695 + 13.2589i 0.285527 + 0.706703i
\(353\) −19.7143 + 8.77737i −1.04929 + 0.467172i −0.857618 0.514287i \(-0.828056\pi\)
−0.191668 + 0.981460i \(0.561390\pi\)
\(354\) 0.951146 9.04955i 0.0505528 0.480978i
\(355\) −5.47753 + 21.3460i −0.290717 + 1.13293i
\(356\) −1.92790 3.95278i −0.102178 0.209497i
\(357\) 14.7518 + 83.6614i 0.780746 + 4.42783i
\(358\) 3.60255 5.34101i 0.190401 0.282281i
\(359\) 1.98406 4.91071i 0.104715 0.259178i −0.865726 0.500518i \(-0.833143\pi\)
0.970440 + 0.241341i \(0.0775872\pi\)
\(360\) 2.65726 + 27.0619i 0.140050 + 1.42629i
\(361\) −1.84790 + 18.9099i −0.0972578 + 0.995259i
\(362\) −1.17633 3.62037i −0.0618265 0.190283i
\(363\) −5.03188 + 12.4543i −0.264105 + 0.653683i
\(364\) −0.929726 26.6239i −0.0487309 1.39547i
\(365\) −9.83964 14.8054i −0.515030 0.774948i
\(366\) 17.7496 2.49454i 0.927785 0.130392i
\(367\) −17.7860 + 5.10007i −0.928424 + 0.266221i −0.705578 0.708632i \(-0.749313\pi\)
−0.222846 + 0.974854i \(0.571535\pi\)
\(368\) 1.19184 + 2.06433i 0.0621289 + 0.107610i
\(369\) 1.99406 + 18.9722i 0.103806 + 0.987653i
\(370\) 0.642637 + 0.0948045i 0.0334091 + 0.00492865i
\(371\) 10.7448 0.751352i 0.557844 0.0390083i
\(372\) −18.6278 + 8.29363i −0.965807 + 0.430005i
\(373\) 19.4019 4.12401i 1.00459 0.213533i 0.323892 0.946094i \(-0.395008\pi\)
0.680701 + 0.732561i \(0.261675\pi\)
\(374\) 12.0740 + 4.39456i 0.624330 + 0.227237i
\(375\) 5.91702 29.9491i 0.305553 1.54656i
\(376\) 4.04912 + 22.9637i 0.208817 + 1.18426i
\(377\) 0.447257 + 12.8078i 0.0230349 + 0.659633i
\(378\) 3.86348 + 15.4956i 0.198716 + 0.797007i
\(379\) 0.289222 + 0.210132i 0.0148563 + 0.0107938i 0.595189 0.803586i \(-0.297077\pi\)
−0.580332 + 0.814380i \(0.697077\pi\)
\(380\) 8.68571 9.58485i 0.445568 0.491692i
\(381\) −15.1976 + 11.0417i −0.778595 + 0.565682i
\(382\) −8.28443 6.95146i −0.423868 0.355668i
\(383\) −11.3261 + 16.7916i −0.578735 + 0.858010i −0.998774 0.0494961i \(-0.984238\pi\)
0.420039 + 0.907506i \(0.362016\pi\)
\(384\) 20.1973 10.7391i 1.03069 0.548026i
\(385\) −6.35417 26.2489i −0.323838 1.33777i
\(386\) −6.80672 + 8.71221i −0.346453 + 0.443440i
\(387\) 19.9186 22.1219i 1.01252 1.12452i
\(388\) −6.79638 1.44461i −0.345034 0.0733392i
\(389\) 11.1030 + 27.4808i 0.562943 + 1.39333i 0.893294 + 0.449474i \(0.148388\pi\)
−0.330351 + 0.943858i \(0.607167\pi\)
\(390\) −14.6679 14.3599i −0.742740 0.727141i
\(391\) 35.6577 + 7.57928i 1.80329 + 0.383301i
\(392\) 42.3619 + 18.8608i 2.13960 + 0.952612i
\(393\) −24.4101 8.88457i −1.23133 0.448167i
\(394\) −3.19184 6.54423i −0.160802 0.329694i
\(395\) 17.2965 4.83188i 0.870282 0.243118i
\(396\) −14.0161 4.01907i −0.704338 0.201966i
\(397\) 3.40350 + 13.6507i 0.170817 + 0.685109i 0.993225 + 0.116211i \(0.0370748\pi\)
−0.822408 + 0.568899i \(0.807370\pi\)
\(398\) −3.39885 + 10.4606i −0.170369 + 0.524342i
\(399\) 32.4219 48.4483i 1.62312 2.42545i
\(400\) −2.03707 + 0.403943i −0.101853 + 0.0201971i
\(401\) −19.5459 16.4009i −0.976075 0.819024i 0.00741802 0.999972i \(-0.497639\pi\)
−0.983493 + 0.180949i \(0.942083\pi\)
\(402\) −0.736182 21.0815i −0.0367174 1.05145i
\(403\) 10.1099 20.7284i 0.503610 1.03255i
\(404\) −2.26016 + 2.18262i −0.112447 + 0.108589i
\(405\) 4.74680 + 3.01148i 0.235870 + 0.149642i
\(406\) −11.4775 5.11012i −0.569620 0.253611i
\(407\) −0.436637 + 0.756278i −0.0216433 + 0.0374873i
\(408\) 11.4518 45.9306i 0.566948 2.27391i
\(409\) −1.16102 0.725487i −0.0574089 0.0358730i 0.500911 0.865499i \(-0.332998\pi\)
−0.558320 + 0.829626i \(0.688554\pi\)
\(410\) 7.69270 1.58021i 0.379915 0.0780408i
\(411\) 46.7971 9.94703i 2.30833 0.490651i
\(412\) −0.185740 + 5.31889i −0.00915074 + 0.262043i
\(413\) 19.7043 2.76926i 0.969587 0.136267i
\(414\) 20.7722 + 2.91934i 1.02090 + 0.143478i
\(415\) −13.4969 + 1.80280i −0.662538 + 0.0884959i
\(416\) −8.90351 + 22.0370i −0.436531 + 1.08045i
\(417\) 11.4275 8.30257i 0.559608 0.406579i
\(418\) −3.89412 7.91064i −0.190468 0.386922i
\(419\) 1.47361 1.07064i 0.0719903 0.0523040i −0.551208 0.834368i \(-0.685833\pi\)
0.623198 + 0.782064i \(0.285833\pi\)
\(420\) −37.3855 + 13.3183i −1.82422 + 0.649865i
\(421\) 29.6040 + 8.48882i 1.44281 + 0.413720i 0.903574 0.428433i \(-0.140934\pi\)
0.539239 + 0.842153i \(0.318712\pi\)
\(422\) 1.67043 3.42488i 0.0813151 0.166721i
\(423\) −33.6121 17.8719i −1.63428 0.868960i
\(424\) −5.63987 2.05275i −0.273897 0.0996902i
\(425\) −16.2549 + 27.2852i −0.788478 + 1.32353i
\(426\) 11.0375 19.1175i 0.534769 0.926246i
\(427\) 14.6827 + 36.3410i 0.710547 + 1.75867i
\(428\) 11.0531 0.772907i 0.534271 0.0373599i
\(429\) 25.2095 11.2240i 1.21713 0.541899i
\(430\) −9.86467 7.27074i −0.475717 0.350626i
\(431\) −20.2465 + 5.80560i −0.975241 + 0.279646i −0.725161 0.688579i \(-0.758235\pi\)
−0.250080 + 0.968225i \(0.580457\pi\)
\(432\) −0.286673 + 1.62581i −0.0137926 + 0.0782216i
\(433\) −17.3035 16.7098i −0.831553 0.803021i 0.151092 0.988520i \(-0.451721\pi\)
−0.982644 + 0.185499i \(0.940610\pi\)
\(434\) 13.9196 + 17.8163i 0.668162 + 0.855209i
\(435\) 17.9848 6.40693i 0.862304 0.307189i
\(436\) 6.10562 18.7912i 0.292406 0.899934i
\(437\) −14.0643 20.6878i −0.672789 0.989631i
\(438\) 5.50268 + 16.9355i 0.262928 + 0.809211i
\(439\) 24.7753 15.4813i 1.18246 0.738883i 0.211326 0.977416i \(-0.432222\pi\)
0.971134 + 0.238533i \(0.0766664\pi\)
\(440\) −2.71452 + 14.8019i −0.129410 + 0.705655i
\(441\) −66.8422 + 35.5406i −3.18296 + 1.69241i
\(442\) 9.36159 + 19.1941i 0.445285 + 0.912970i
\(443\) 18.8762 + 6.87037i 0.896835 + 0.326421i 0.748984 0.662588i \(-0.230542\pi\)
0.147851 + 0.989010i \(0.452764\pi\)
\(444\) 1.17233 + 0.521956i 0.0556365 + 0.0247709i
\(445\) 0.824972 7.36409i 0.0391074 0.349091i
\(446\) −0.566771 + 0.0396325i −0.0268374 + 0.00187665i
\(447\) 16.8085 1.17536i 0.795013 0.0555927i
\(448\) −12.8686 14.2920i −0.607984 0.675234i
\(449\) 8.41446 + 14.5743i 0.397103 + 0.687803i 0.993367 0.114986i \(-0.0366822\pi\)
−0.596264 + 0.802788i \(0.703349\pi\)
\(450\) −8.23531 + 16.3145i −0.388216 + 0.769072i
\(451\) −1.83330 + 10.3972i −0.0863268 + 0.489583i
\(452\) −10.4654 1.47082i −0.492252 0.0691815i
\(453\) 49.4601 + 14.1825i 2.32384 + 0.666351i
\(454\) 2.58718 + 10.3766i 0.121422 + 0.486998i
\(455\) 22.7089 38.7188i 1.06461 1.81517i
\(456\) −27.4845 + 17.3142i −1.28708 + 0.810811i
\(457\) 32.3542 1.51347 0.756733 0.653724i \(-0.226794\pi\)
0.756733 + 0.653724i \(0.226794\pi\)
\(458\) 9.56454 + 0.668818i 0.446921 + 0.0312518i
\(459\) 15.5439 + 19.8953i 0.725528 + 0.928634i
\(460\) −0.710775 + 17.0155i −0.0331401 + 0.793351i
\(461\) 23.0815 + 12.2727i 1.07501 + 0.571595i 0.909962 0.414691i \(-0.136110\pi\)
0.165050 + 0.986285i \(0.447221\pi\)
\(462\) −0.944133 + 27.0364i −0.0439250 + 1.25785i
\(463\) −13.6200 + 15.1266i −0.632977 + 0.702992i −0.971252 0.238056i \(-0.923490\pi\)
0.338275 + 0.941047i \(0.390157\pi\)
\(464\) −0.869045 0.965172i −0.0403444 0.0448070i
\(465\) −33.9892 5.01423i −1.57621 0.232529i
\(466\) 2.45276 + 1.53266i 0.113622 + 0.0709989i
\(467\) −0.402677 3.83121i −0.0186337 0.177287i 0.981247 0.192756i \(-0.0617426\pi\)
−0.999880 + 0.0154687i \(0.995076\pi\)
\(468\) −12.1171 20.9875i −0.560115 0.970148i
\(469\) 44.3408 12.7145i 2.04747 0.587102i
\(470\) −5.96992 + 14.4899i −0.275372 + 0.668368i
\(471\) 16.8044 34.4542i 0.774307 1.58756i
\(472\) −10.6580 3.05613i −0.490574 0.140670i
\(473\) 13.9711 8.73010i 0.642391 0.401410i
\(474\) −17.9893 −0.826274
\(475\) 21.0094 5.79697i 0.963978 0.265983i
\(476\) 41.2886 1.89246
\(477\) 8.30949 5.19234i 0.380465 0.237741i
\(478\) 1.99286 + 0.571443i 0.0911512 + 0.0261372i
\(479\) −7.17847 + 14.7180i −0.327993 + 0.672485i −0.997526 0.0702973i \(-0.977605\pi\)
0.669533 + 0.742782i \(0.266494\pi\)
\(480\) 35.3037 + 2.71150i 1.61139 + 0.123763i
\(481\) −1.39520 + 0.400067i −0.0636156 + 0.0182415i
\(482\) 3.10061 + 5.37042i 0.141229 + 0.244616i
\(483\) 8.02294 + 76.3332i 0.365057 + 3.47328i
\(484\) 5.53646 + 3.45956i 0.251657 + 0.157253i
\(485\) −8.36571 8.19002i −0.379867 0.371890i
\(486\) −10.3130 11.4538i −0.467808 0.519553i
\(487\) −7.93834 + 8.81642i −0.359720 + 0.399510i −0.895655 0.444749i \(-0.853293\pi\)
0.535935 + 0.844260i \(0.319959\pi\)
\(488\) 0.762211 21.8269i 0.0345037 0.988056i
\(489\) −10.1709 5.40797i −0.459944 0.244557i
\(490\) 17.2500 + 25.9555i 0.779278 + 1.17255i
\(491\) 16.5306 + 21.1582i 0.746017 + 0.954858i 0.999923 0.0123705i \(-0.00393774\pi\)
−0.253906 + 0.967229i \(0.581716\pi\)
\(492\) 15.4766 + 1.08223i 0.697737 + 0.0487905i
\(493\) −19.8624 −0.894560
\(494\) 4.47755 13.9538i 0.201454 0.627809i
\(495\) −16.3140 18.3697i −0.733259 0.825657i
\(496\) 0.565423 + 2.26779i 0.0253882 + 0.101827i
\(497\) 46.4022 + 13.3056i 2.08142 + 0.596839i
\(498\) 13.5072 + 1.89831i 0.605272 + 0.0850654i
\(499\) −0.547665 + 3.10596i −0.0245168 + 0.139042i −0.994609 0.103694i \(-0.966934\pi\)
0.970092 + 0.242736i \(0.0780449\pi\)
\(500\) −13.8354 5.35973i −0.618739 0.239694i
\(501\) 4.87525 + 8.44418i 0.217810 + 0.377258i
\(502\) 10.3949 + 11.5447i 0.463948 + 0.515266i
\(503\) 20.4378 1.42915i 0.911278 0.0637228i 0.393584 0.919289i \(-0.371235\pi\)
0.517694 + 0.855566i \(0.326791\pi\)
\(504\) 59.4177 4.15489i 2.64667 0.185073i
\(505\) −5.18580 + 1.06525i −0.230765 + 0.0474030i
\(506\) 10.6052 + 4.72175i 0.471460 + 0.209907i
\(507\) 9.74271 + 3.54606i 0.432689 + 0.157486i
\(508\) 4.00235 + 8.20604i 0.177576 + 0.364084i
\(509\) −39.2001 + 20.8430i −1.73751 + 0.923852i −0.784923 + 0.619593i \(0.787298\pi\)
−0.952590 + 0.304258i \(0.901591\pi\)
\(510\) 23.0358 21.9428i 1.02004 0.971644i
\(511\) −33.0224 + 20.6347i −1.46083 + 0.912826i
\(512\) −1.44492 4.44699i −0.0638569 0.196531i
\(513\) 1.74803 17.2370i 0.0771773 0.761032i
\(514\) −5.14405 + 15.8318i −0.226894 + 0.698309i
\(515\) −5.06530 + 7.39990i −0.223204 + 0.326079i
\(516\) −14.9046 19.0771i −0.656140 0.839821i
\(517\) −15.1550 14.6350i −0.666515 0.643646i
\(518\) 0.247084 1.40128i 0.0108562 0.0615688i
\(519\) −49.3950 + 14.1638i −2.16820 + 0.621721i
\(520\) −20.3351 + 14.5628i −0.891752 + 0.638621i
\(521\) −11.5390 + 5.13749i −0.505533 + 0.225078i −0.643624 0.765342i \(-0.722570\pi\)
0.138091 + 0.990420i \(0.455903\pi\)
\(522\) −11.4013 + 0.797255i −0.499020 + 0.0348949i
\(523\) −9.00745 22.2942i −0.393868 0.974858i −0.985656 0.168764i \(-0.946022\pi\)
0.591788 0.806093i \(-0.298422\pi\)
\(524\) −6.31265 + 10.9338i −0.275769 + 0.477646i
\(525\) −65.2125 14.7967i −2.84610 0.645782i
\(526\) −2.38098 0.866607i −0.103816 0.0377859i
\(527\) 31.5598 + 16.7807i 1.37477 + 0.730977i
\(528\) −1.22594 + 2.51355i −0.0533522 + 0.109388i
\(529\) 9.55139 + 2.73882i 0.415278 + 0.119079i
\(530\) −2.46159 3.19552i −0.106925 0.138804i
\(531\) 14.6441 10.6395i 0.635498 0.461716i
\(532\) −20.4530 19.6073i −0.886749 0.850084i
\(533\) −14.1960 + 10.3140i −0.614895 + 0.446747i
\(534\) −2.78061 + 6.88224i −0.120329 + 0.297824i
\(535\) 16.4236 + 8.87726i 0.710056 + 0.383797i
\(536\) −25.4530 3.57719i −1.09940 0.154511i
\(537\) 21.2357 2.98448i 0.916388 0.128790i
\(538\) 0.821825 23.5340i 0.0354314 1.01462i
\(539\) −40.9808 + 8.71074i −1.76517 + 0.375198i
\(540\) −7.95207 + 8.71108i −0.342203 + 0.374865i
\(541\) −34.1206 21.3209i −1.46696 0.916658i −0.999466 0.0326615i \(-0.989602\pi\)
−0.467493 0.883997i \(-0.654843\pi\)
\(542\) 6.40588 25.6926i 0.275156 1.10359i
\(543\) 6.33551 10.9734i 0.271883 0.470915i
\(544\) −33.6520 14.9828i −1.44282 0.642384i
\(545\) 25.6485 21.2243i 1.09866 0.909150i
\(546\) −32.3438 + 31.2341i −1.38419 + 1.33670i
\(547\) 0.751315 1.54042i 0.0321239 0.0658638i −0.882129 0.471009i \(-0.843890\pi\)
0.914252 + 0.405145i \(0.132779\pi\)
\(548\) −0.811504 23.2384i −0.0346657 0.992696i
\(549\) 27.3137 + 22.9189i 1.16572 + 0.978155i
\(550\) −6.86978 + 7.42285i −0.292928 + 0.316512i
\(551\) 9.83917 + 9.43234i 0.419163 + 0.401831i
\(552\) 13.2162 40.6753i 0.562518 1.73125i
\(553\) −9.51666 38.1693i −0.404690 1.62312i
\(554\) −21.0244 6.02865i −0.893241 0.256133i
\(555\) 1.19682 + 1.80082i 0.0508023 + 0.0764403i
\(556\) −3.00949 6.17037i −0.127631 0.261682i
\(557\) −0.722150 0.262841i −0.0305985 0.0111369i 0.326676 0.945137i \(-0.394072\pi\)
−0.357274 + 0.934000i \(0.616294\pi\)
\(558\) 18.7893 + 8.36552i 0.795413 + 0.354141i
\(559\) 26.7829 + 5.69288i 1.13279 + 0.240783i
\(560\) 0.759255 + 4.48517i 0.0320844 + 0.189533i
\(561\) 16.0215 + 39.6547i 0.676430 + 1.67422i
\(562\) −0.112163 0.0238409i −0.00473129 0.00100567i
\(563\) 24.1464 26.8173i 1.01765 1.13022i 0.0262109 0.999656i \(-0.491656\pi\)
0.991440 0.130560i \(-0.0416775\pi\)
\(564\) −19.0604 + 24.3963i −0.802590 + 1.02727i
\(565\) −13.5623 11.5391i −0.570569 0.485454i
\(566\) −14.1047 + 7.49959i −0.592864 + 0.315231i
\(567\) 6.88567 10.2084i 0.289171 0.428714i
\(568\) −20.6051 17.2898i −0.864573 0.725463i
\(569\) −6.05786 + 4.40129i −0.253959 + 0.184512i −0.707479 0.706734i \(-0.750168\pi\)
0.453521 + 0.891246i \(0.350168\pi\)
\(570\) −21.8314 0.0695860i −0.914417 0.00291464i
\(571\) −23.7536 17.2580i −0.994059 0.722226i −0.0332527 0.999447i \(-0.510587\pi\)
−0.960806 + 0.277221i \(0.910587\pi\)
\(572\) −3.24464 13.0135i −0.135665 0.544123i
\(573\) −1.25630 35.9756i −0.0524826 1.50290i
\(574\) −2.98715 16.9410i −0.124681 0.707102i
\(575\) −16.3701 + 23.5675i −0.682679 + 0.982834i
\(576\) −16.4400 5.98365i −0.684998 0.249319i
\(577\) −37.8498 + 8.04523i −1.57571 + 0.334927i −0.911075 0.412242i \(-0.864746\pi\)
−0.664634 + 0.747169i \(0.731413\pi\)
\(578\) −17.4969 + 7.79013i −0.727776 + 0.324027i
\(579\) −36.7115 + 2.56712i −1.52568 + 0.106686i
\(580\) −1.54874 9.14895i −0.0643081 0.379889i
\(581\) 3.11776 + 29.6635i 0.129347 + 1.23065i
\(582\) 5.86361 + 10.1561i 0.243054 + 0.420982i
\(583\) 5.21262 1.49469i 0.215885 0.0619039i
\(584\) 21.4865 3.01973i 0.889119 0.124957i
\(585\) 1.70422 40.7978i 0.0704607 1.68678i
\(586\) −0.137031 3.92405i −0.00566069 0.162101i
\(587\) 11.7257 29.0222i 0.483973 1.19787i −0.465787 0.884897i \(-0.654229\pi\)
0.949760 0.312978i \(-0.101327\pi\)
\(588\) 19.0252 + 58.5535i 0.784585 + 2.41470i
\(589\) −7.66480 23.2998i −0.315823 0.960052i
\(590\) −4.94815 5.57166i −0.203712 0.229382i
\(591\) 9.07902 22.4714i 0.373461 0.924348i
\(592\) 0.0822525 0.121944i 0.00338056 0.00501188i
\(593\) −4.74131 26.8893i −0.194702 1.10421i −0.912842 0.408313i \(-0.866117\pi\)
0.718140 0.695899i \(-0.244994\pi\)
\(594\) 3.52453 + 7.22635i 0.144613 + 0.296501i
\(595\) 58.7442 + 37.2687i 2.40828 + 1.52787i
\(596\) 0.856009 8.14438i 0.0350635 0.333607i
\(597\) −33.4460 + 14.8911i −1.36885 + 0.609453i
\(598\) 7.22784 + 17.8895i 0.295568 + 0.731557i
\(599\) −5.87211 + 4.92729i −0.239928 + 0.201323i −0.754821 0.655931i \(-0.772276\pi\)
0.514893 + 0.857255i \(0.327832\pi\)
\(600\) 29.8424 + 22.3120i 1.21831 + 0.910882i
\(601\) −2.70824 4.69082i −0.110472 0.191342i 0.805489 0.592611i \(-0.201903\pi\)
−0.915960 + 0.401268i \(0.868569\pi\)
\(602\) −16.5263 + 21.1527i −0.673560 + 0.862118i
\(603\) 30.1850 29.1493i 1.22923 1.18705i
\(604\) 10.9626 22.4766i 0.446061 0.914560i
\(605\) 4.75437 + 9.91957i 0.193293 + 0.403288i
\(606\) 5.29016 + 0.369924i 0.214898 + 0.0150271i
\(607\) −19.4286 −0.788582 −0.394291 0.918986i \(-0.629010\pi\)
−0.394291 + 0.918986i \(0.629010\pi\)
\(608\) 9.55495 + 23.4028i 0.387504 + 0.949107i
\(609\) −12.9231 39.7731i −0.523668 1.61169i
\(610\) 8.29108 12.1125i 0.335696 0.490419i
\(611\) −1.22203 34.9945i −0.0494382 1.41573i
\(612\) 33.1635 17.6333i 1.34055 0.712786i
\(613\) −5.28476 + 0.742725i −0.213450 + 0.0299984i −0.245087 0.969501i \(-0.578817\pi\)
0.0316377 + 0.999499i \(0.489928\pi\)
\(614\) 12.5781 16.0992i 0.507609 0.649710i
\(615\) 21.0427 + 15.5095i 0.848524 + 0.625402i
\(616\) 32.2433 + 6.85353i 1.29912 + 0.276136i
\(617\) −1.48672 + 5.96291i −0.0598531 + 0.240058i −0.992770 0.120035i \(-0.961699\pi\)
0.932917 + 0.360093i \(0.117255\pi\)
\(618\) 6.88116 5.77398i 0.276801 0.232263i
\(619\) 0.462101 + 4.39660i 0.0185734 + 0.176714i 0.999876 0.0157580i \(-0.00501615\pi\)
−0.981302 + 0.192472i \(0.938349\pi\)
\(620\) −5.26860 + 15.8454i −0.211592 + 0.636366i
\(621\) 12.7557 + 18.9112i 0.511870 + 0.758879i
\(622\) 6.14372 5.93292i 0.246341 0.237888i
\(623\) −16.0736 2.25900i −0.643975 0.0905049i
\(624\) −4.36774 + 1.58973i −0.174849 + 0.0636400i
\(625\) −14.8467 20.1140i −0.593869 0.804562i
\(626\) −11.3227 −0.452547
\(627\) 10.8948 27.2519i 0.435098 1.08834i
\(628\) −15.0729 10.9511i −0.601473 0.436996i
\(629\) −0.544207 2.18270i −0.0216990 0.0870298i
\(630\) 35.2158 + 19.0347i 1.40303 + 0.758362i
\(631\) −6.11551 5.90568i −0.243455 0.235101i 0.562913 0.826516i \(-0.309681\pi\)
−0.806367 + 0.591415i \(0.798570\pi\)
\(632\) −3.80631 + 21.5867i −0.151407 + 0.858672i
\(633\) 12.1925 3.49613i 0.484607 0.138959i
\(634\) 9.87655 10.9690i 0.392248 0.435635i
\(635\) −1.71265 + 15.2880i −0.0679646 + 0.606685i
\(636\) −2.98510 7.38839i −0.118367 0.292969i
\(637\) −59.0528 36.9003i −2.33976 1.46204i
\(638\) −6.18696 1.31508i −0.244944 0.0520645i
\(639\) 42.9533 9.13000i 1.69921 0.361177i
\(640\) 4.65608 18.1448i 0.184048 0.717236i
\(641\) 9.84146 1.38313i 0.388714 0.0546302i 0.0578909 0.998323i \(-0.481562\pi\)
0.330823 + 0.943693i \(0.392674\pi\)
\(642\) −13.4524 12.9908i −0.530922 0.512706i
\(643\) −33.1306 + 12.0586i −1.30654 + 0.475543i −0.899122 0.437697i \(-0.855794\pi\)
−0.407421 + 0.913240i \(0.633572\pi\)
\(644\) 37.2132 + 2.60220i 1.46641 + 0.102541i
\(645\) −3.98618 40.5957i −0.156956 1.59846i
\(646\) 21.3711 + 7.69014i 0.840836 + 0.302564i
\(647\) −20.8260 15.1310i −0.818754 0.594859i 0.0976016 0.995226i \(-0.468883\pi\)
−0.916355 + 0.400366i \(0.868883\pi\)
\(648\) −5.81875 + 3.63596i −0.228582 + 0.142834i
\(649\) 9.41348 3.42622i 0.369511 0.134491i
\(650\) −16.7834 + 0.943051i −0.658301 + 0.0369895i
\(651\) −13.0683 + 74.1142i −0.512188 + 2.90476i
\(652\) −3.44686 + 4.41178i −0.134989 + 0.172779i
\(653\) −2.89800 + 27.5727i −0.113408 + 1.07900i 0.778768 + 0.627312i \(0.215845\pi\)
−0.892175 + 0.451689i \(0.850822\pi\)
\(654\) −30.4649 + 13.5638i −1.19127 + 0.530388i
\(655\) −18.8507 + 9.85828i −0.736559 + 0.385195i
\(656\) 0.430205 1.72546i 0.0167967 0.0673678i
\(657\) −17.7114 + 30.6771i −0.690988 + 1.19683i
\(658\) 31.3599 + 13.9623i 1.22254 + 0.544308i
\(659\) −0.694957 + 19.9010i −0.0270717 + 0.775231i 0.907624 + 0.419783i \(0.137894\pi\)
−0.934696 + 0.355448i \(0.884328\pi\)
\(660\) −17.0163 + 10.4718i −0.662359 + 0.407614i
\(661\) −43.4090 6.10074i −1.68841 0.237291i −0.771458 0.636280i \(-0.780472\pi\)
−0.916956 + 0.398989i \(0.869361\pi\)
\(662\) 2.22785 + 2.85152i 0.0865880 + 0.110828i
\(663\) −26.6286 + 65.9080i −1.03417 + 2.55965i
\(664\) 5.13589 15.8066i 0.199311 0.613417i
\(665\) −11.4016 46.3583i −0.442135 1.79770i
\(666\) −0.399992 1.23105i −0.0154994 0.0477022i
\(667\) −17.9019 1.25182i −0.693164 0.0484708i
\(668\) 4.45317 1.62082i 0.172298 0.0627115i
\(669\) −1.36040 1.31372i −0.0525960 0.0507913i
\(670\) −13.1568 11.1942i −0.508292 0.432468i
\(671\) 11.0344 + 16.3592i 0.425978 + 0.631538i
\(672\) 8.10709 77.1339i 0.312738 2.97550i
\(673\) 27.8176 + 30.8946i 1.07229 + 1.19090i 0.980784 + 0.195094i \(0.0625013\pi\)
0.0915057 + 0.995805i \(0.470832\pi\)
\(674\) −6.67177 + 5.59828i −0.256987 + 0.215638i
\(675\) −19.1769 + 5.21601i −0.738119 + 0.200764i
\(676\) 2.51954 4.36397i 0.0969053 0.167845i
\(677\) −30.0383 + 6.38485i −1.15447 + 0.245390i −0.745083 0.666972i \(-0.767590\pi\)
−0.409385 + 0.912362i \(0.634257\pi\)
\(678\) 9.97441 + 14.7877i 0.383065 + 0.567917i
\(679\) −18.4470 + 17.8140i −0.707930 + 0.683640i
\(680\) −21.4568 32.2852i −0.822829 1.23808i
\(681\) −19.9057 + 29.5114i −0.762787 + 1.13088i
\(682\) 8.71955 + 7.31657i 0.333889 + 0.280166i
\(683\) 14.3791 10.4470i 0.550200 0.399744i −0.277659 0.960680i \(-0.589559\pi\)
0.827859 + 0.560936i \(0.189559\pi\)
\(684\) −24.8018 7.01384i −0.948322 0.268181i
\(685\) 19.8213 33.7954i 0.757333 1.29126i
\(686\) 34.0407 21.2710i 1.29968 0.812131i
\(687\) 19.6485 + 25.1490i 0.749638 + 0.959493i
\(688\) −2.45008 + 1.30273i −0.0934086 + 0.0496662i
\(689\) 7.95779 + 4.23123i 0.303168 + 0.161197i
\(690\) 22.1449 18.3251i 0.843043 0.697625i
\(691\) −9.35001 + 10.3842i −0.355691 + 0.395035i −0.894261 0.447546i \(-0.852298\pi\)
0.538570 + 0.842581i \(0.318965\pi\)
\(692\) 2.61055 + 24.8378i 0.0992384 + 0.944190i
\(693\) −41.2249 + 34.5918i −1.56600 + 1.31403i
\(694\) 3.72775 14.9512i 0.141504 0.567540i
\(695\) 1.28780 11.4955i 0.0488489 0.436049i
\(696\) −2.43580 + 23.1751i −0.0923288 + 0.878450i
\(697\) −15.2077 22.5463i −0.576032 0.854003i
\(698\) 9.78466 + 5.20260i 0.370355 + 0.196921i
\(699\) 1.67175 + 9.48094i 0.0632312 + 0.358602i
\(700\) −12.5860 + 29.9644i −0.475707 + 1.13255i
\(701\) 10.5814 + 8.87888i 0.399655 + 0.335351i 0.820360 0.571847i \(-0.193773\pi\)
−0.420705 + 0.907197i \(0.638217\pi\)
\(702\) −4.12938 + 12.7089i −0.155853 + 0.479667i
\(703\) −0.766944 + 1.33967i −0.0289258 + 0.0505265i
\(704\) −7.83309 5.69107i −0.295221 0.214490i
\(705\) −49.1396 + 17.5056i −1.85070 + 0.659298i
\(706\) 9.89900 14.6759i 0.372554 0.552334i
\(707\) 2.01370 + 11.4203i 0.0757329 + 0.429503i
\(708\) −6.45322 13.2311i −0.242527 0.497253i
\(709\) 0.697373 19.9701i 0.0261904 0.749995i −0.913274 0.407347i \(-0.866454\pi\)
0.939464 0.342648i \(-0.111324\pi\)
\(710\) −5.46855 17.2307i −0.205231 0.646656i
\(711\) −23.9450 26.5936i −0.898008 0.997339i
\(712\) 7.67018 + 4.79286i 0.287452 + 0.179620i
\(713\) 27.3871 + 17.1134i 1.02565 + 0.640900i
\(714\) −46.6298 51.7876i −1.74507 1.93810i
\(715\) 7.13013 21.4440i 0.266652 0.801959i
\(716\) 0.363739 10.4161i 0.0135936 0.389269i
\(717\) 3.02511 + 6.20240i 0.112975 + 0.231633i
\(718\) 0.754445 + 4.27867i 0.0281556 + 0.159679i
\(719\) −7.58031 + 11.2383i −0.282698 + 0.419117i −0.943464 0.331475i \(-0.892454\pi\)
0.660766 + 0.750592i \(0.270231\pi\)
\(720\) 2.52534 + 3.27828i 0.0941140 + 0.122174i
\(721\) 15.8914 + 11.5458i 0.591826 + 0.429987i
\(722\) −6.93460 13.9582i −0.258079 0.519471i
\(723\) −6.37859 + 19.6313i −0.237222 + 0.730095i
\(724\) −4.71762 3.95855i −0.175329 0.147118i
\(725\) 6.05468 14.4148i 0.224865 0.535352i
\(726\) −1.91339 10.8514i −0.0710125 0.402732i
\(727\) −31.9576 16.9922i −1.18524 0.630204i −0.244606 0.969623i \(-0.578659\pi\)
−0.940635 + 0.339419i \(0.889770\pi\)
\(728\) 30.6366 + 45.4206i 1.13547 + 1.68340i
\(729\) 4.57423 43.5209i 0.169416 1.61188i
\(730\) 13.2809 + 6.02226i 0.491550 + 0.222894i
\(731\) −10.2665 + 41.1767i −0.379721 + 1.52298i
\(732\) 22.2132 18.6391i 0.821023 0.688920i
\(733\) −3.67633 34.9780i −0.135788 1.29194i −0.824066 0.566493i \(-0.808300\pi\)
0.688278 0.725447i \(-0.258367\pi\)
\(734\) 10.1561 11.2795i 0.374869 0.416334i
\(735\) −25.7841 + 100.481i −0.951062 + 3.70629i
\(736\) −29.3861 15.6248i −1.08318 0.575939i
\(737\) 20.5046 10.9025i 0.755298 0.401599i
\(738\) −9.63438 12.3314i −0.354646 0.453927i
\(739\) 0.503067 0.314351i 0.0185056 0.0115636i −0.520635 0.853779i \(-0.674305\pi\)
0.539141 + 0.842216i \(0.318749\pi\)
\(740\) 0.962949 0.420863i 0.0353987 0.0154712i
\(741\) 44.4895 20.0031i 1.63436 0.734832i
\(742\) −7.14818 + 5.19345i −0.262418 + 0.190658i
\(743\) −20.3168 17.0478i −0.745350 0.625423i 0.188918 0.981993i \(-0.439502\pi\)
−0.934269 + 0.356569i \(0.883946\pi\)
\(744\) 23.4496 34.7655i 0.859705 1.27457i
\(745\) 8.56933 10.8149i 0.313956 0.396228i
\(746\) −11.7045 + 11.3029i −0.428533 + 0.413829i
\(747\) 15.1728 + 22.4946i 0.555143 + 0.823033i
\(748\) 20.3325 4.32180i 0.743429 0.158021i
\(749\) 20.4470 35.4153i 0.747119 1.29405i
\(750\) 8.90258 + 23.4066i 0.325076 + 0.854688i
\(751\) 26.0769 21.8811i 0.951560 0.798454i −0.0279996 0.999608i \(-0.508914\pi\)
0.979560 + 0.201154i \(0.0644693\pi\)
\(752\) 2.37448 + 2.63713i 0.0865884 + 0.0961661i
\(753\) −5.40517 + 51.4268i −0.196975 + 1.87410i
\(754\) −5.87866 8.71547i −0.214088 0.317399i
\(755\) 35.8854 22.0838i 1.30601 0.803712i
\(756\) 18.5849 + 17.9472i 0.675925 + 0.652733i
\(757\) 22.0339 8.01968i 0.800835 0.291480i 0.0910027 0.995851i \(-0.470993\pi\)
0.709833 + 0.704370i \(0.248771\pi\)
\(758\) −0.292545 0.0204568i −0.0106257 0.000743023i
\(759\) 11.9409 + 36.7503i 0.433427 + 1.33395i
\(760\) −4.70277 + 26.1824i −0.170587 + 0.949737i
\(761\) −3.58483 + 11.0330i −0.129950 + 0.399945i −0.994770 0.102136i \(-0.967432\pi\)
0.864820 + 0.502081i \(0.167432\pi\)
\(762\) 5.77259 14.2877i 0.209119 0.517587i
\(763\) −44.8960 57.4642i −1.62534 2.08035i
\(764\) −17.3254 2.43492i −0.626810 0.0880925i
\(765\) 63.1005 + 4.84644i 2.28140 + 0.175223i
\(766\) 0.579849 16.6047i 0.0209508 0.599953i
\(767\) 15.2103 + 6.77206i 0.549212 + 0.244525i
\(768\) −20.1035 + 34.8202i −0.725422 + 1.25647i
\(769\) 4.36203 17.4951i 0.157299 0.630891i −0.838939 0.544226i \(-0.816823\pi\)
0.996238 0.0866650i \(-0.0276210\pi\)
\(770\) 15.8307 + 15.4983i 0.570500 + 0.558518i