Properties

Label 475.2.bc.a.6.20
Level $475$
Weight $2$
Character 475.6
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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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 6.20
Character \(\chi\) \(=\) 475.6
Dual form 475.2.bc.a.396.20

$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{7}{9}\right)\)

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 0.261189 0.965288i \(-0.415885\pi\)
−0.753097 + 0.657909i \(0.771441\pi\)
\(3\) −2.62473 + 0.752630i −1.51539 + 0.434531i −0.927317 0.374277i \(-0.877891\pi\)
−0.588073 + 0.808808i \(0.700113\pi\)
\(4\) −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 0.135096 0.990832i \(-0.456866\pi\)
0.790538 0.612413i \(-0.209801\pi\)
\(8\) −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 −0.441140 0.897439i \(-0.645426\pi\)
0.938634 + 0.344915i \(0.112092\pi\)
\(12\) 2.42468 + 2.69288i 0.699945 + 0.777368i
\(13\) −0.143033 4.09593i −0.0396702 1.13601i −0.842121 0.539288i \(-0.818693\pi\)
0.802451 0.596718i \(-0.203529\pi\)
\(14\) −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 −0.812902 0.582401i \(-0.802114\pi\)
−0.723936 + 0.689867i \(0.757669\pi\)
\(18\) −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 −0.704023 0.710177i \(-0.748615\pi\)
−0.480999 + 0.876721i \(0.659726\pi\)
\(24\) −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 0.356375 0.934343i \(-0.384013\pi\)
0.222871 + 0.974848i \(0.428457\pi\)
\(30\) −3.37672 3.69902i −0.616502 0.675346i
\(31\) −5.14065 + 2.28876i −0.923288 + 0.411074i −0.812627 0.582784i \(-0.801963\pi\)
−0.110661 + 0.993858i \(0.535297\pi\)
\(32\) 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 −0.941658 0.336572i \(-0.890733\pi\)
0.959649 + 0.281201i \(0.0907326\pi\)
\(38\) −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 −0.536837 0.843686i \(-0.680381\pi\)
0.948498 + 0.316784i \(0.102603\pi\)
\(42\) 7.89177 7.62099i 1.21773 1.17595i
\(43\) 1.16013 + 6.57941i 0.176918 + 1.00335i 0.935907 + 0.352248i \(0.114583\pi\)
−0.758989 + 0.651104i \(0.774306\pi\)
\(44\) −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 −0.567039 0.823691i \(-0.691911\pi\)
−0.676156 + 0.736758i \(0.736356\pi\)
\(48\) 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 0.954692 0.297595i \(-0.0961844\pi\)
−0.822275 + 0.569090i \(0.807295\pi\)
\(54\) 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 0.993240 0.116082i \(-0.0370336\pi\)
−0.795114 + 0.606460i \(0.792589\pi\)
\(60\) −1.46157 7.96977i −0.188688 1.02889i
\(61\) 7.92439 1.11370i 1.01461 0.142595i 0.387784 0.921750i \(-0.373241\pi\)
0.626831 + 0.779156i \(0.284352\pi\)
\(62\) 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 0.932834 + 0.360306i \(0.117328\pi\)
−0.654490 + 0.756070i \(0.727117\pi\)
\(68\) 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 0.984165 0.177256i \(-0.0567221\pi\)
−0.142801 + 0.989751i \(0.545611\pi\)
\(72\) 5.33087 + 10.9299i 0.628249 + 1.28810i
\(73\) 0.277453 7.94521i 0.0324734 0.929917i −0.868408 0.495851i \(-0.834856\pi\)
0.900881 0.434066i \(-0.142922\pi\)
\(74\) −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 −0.680201 0.733026i \(-0.738107\pi\)
−0.188398 + 0.982093i \(0.560330\pi\)
\(80\) 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 −0.0780313 0.996951i \(-0.524863\pi\)
0.688666 + 0.725079i \(0.258197\pi\)
\(84\) 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 0.667628 0.744495i \(-0.267310\pi\)
−0.883894 + 0.467687i \(0.845088\pi\)
\(90\) 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 −0.871089 0.491125i \(-0.836586\pi\)
0.999695 0.0246863i \(-0.00785870\pi\)
\(98\) −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 −0.228951 0.973438i \(-0.573530\pi\)
0.450327 + 0.892864i \(0.351307\pi\)
\(102\) −13.9168 2.95810i −1.37796 0.292895i
\(103\) 3.66366 + 1.63117i 0.360992 + 0.160724i 0.579215 0.815175i \(-0.303359\pi\)
−0.218223 + 0.975899i \(0.570026\pi\)
\(104\) 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 −0.994154 0.107971i \(-0.965565\pi\)
0.590583 + 0.806977i \(0.298898\pi\)
\(108\) 5.07048 + 1.45394i 0.487907 + 0.139905i
\(109\) −14.7435 2.07206i −1.41217 0.198467i −0.608505 0.793550i \(-0.708230\pi\)
−0.803664 + 0.595083i \(0.797119\pi\)
\(110\) 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 −0.766069 0.642758i \(-0.777790\pi\)
0.997567 0.0697185i \(-0.0222101\pi\)
\(114\) 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 0.938328 0.345747i \(-0.112374\pi\)
−0.562479 + 0.826812i \(0.690152\pi\)
\(128\) −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 0.351141 0.936323i \(-0.385794\pi\)
0.478034 + 0.878341i \(0.341349\pi\)
\(132\) 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 −0.349536 0.936923i \(-0.613661\pi\)
−0.972202 + 0.234142i \(0.924772\pi\)
\(138\) −12.7295 1.78902i −1.08361 0.152291i
\(139\) −3.18488 4.07646i −0.270138 0.345760i 0.633744 0.773543i \(-0.281517\pi\)
−0.903882 + 0.427782i \(0.859295\pi\)
\(140\) 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 0.0933904 0.995630i \(-0.470230\pi\)
−0.568437 + 0.822727i \(0.692452\pi\)
\(150\) 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 −0.913041 0.407868i \(-0.866272\pi\)
0.718479 0.695549i \(-0.244839\pi\)
\(158\) 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 −0.0434467 0.999056i \(-0.513834\pi\)
0.366662 + 0.930354i \(0.380501\pi\)
\(164\) −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 −0.787383 0.616464i \(-0.788565\pi\)
0.588609 + 0.808418i \(0.299676\pi\)
\(168\) −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 0.976954 0.213449i \(-0.0684699\pi\)
0.236421 + 0.971651i \(0.424025\pi\)
\(174\) 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 0.120694 0.992690i \(-0.461488\pi\)
−0.656952 + 0.753932i \(0.728155\pi\)
\(180\) 5.87733 + 11.8440i 0.438070 + 0.882797i
\(181\) −1.12265 4.50269i −0.0834457 0.334683i 0.914034 0.405638i \(-0.132951\pi\)
−0.997479 + 0.0709556i \(0.977395\pi\)
\(182\) 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 −0.688518 0.725220i \(-0.741738\pi\)
0.983296 0.182015i \(-0.0582618\pi\)
\(192\) 10.6951 0.747876i 0.771854 0.0539733i
\(193\) 12.6649 + 4.60966i 0.911643 + 0.331811i 0.754909 0.655830i \(-0.227681\pi\)
0.156734 + 0.987641i \(0.449903\pi\)
\(194\) −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 −0.976548 0.215299i \(-0.930927\pi\)
0.910445 0.413630i \(-0.135739\pi\)
\(198\) −6.03082 + 6.69790i −0.428592 + 0.475999i
\(199\) 10.2713 + 8.61863i 0.728112 + 0.610959i 0.929616 0.368529i \(-0.120138\pi\)
−0.201504 + 0.979488i \(0.564583\pi\)
\(200\) −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 0.387502 0.921869i \(-0.373338\pi\)
−0.658700 + 0.752406i \(0.728893\pi\)
\(212\) 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 −0.448870 0.893597i \(-0.648173\pi\)
0.489821 + 0.871823i \(0.337062\pi\)
\(224\) 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 0.991134 + 0.132868i \(0.0424187\pi\)
−0.723746 + 0.690067i \(0.757581\pi\)
\(228\) 15.7949 + 0.0577148i 1.04604 + 0.00382225i
\(229\) −9.45589 + 6.87010i −0.624863 + 0.453989i −0.854617 0.519260i \(-0.826208\pi\)
0.229754 + 0.973249i \(0.426208\pi\)
\(230\) −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 −0.943408 0.331635i \(-0.892400\pi\)
0.842152 + 0.539241i \(0.181289\pi\)
\(234\) 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 −0.795352 0.606148i \(-0.792714\pi\)
0.685964 + 0.727635i \(0.259381\pi\)
\(240\) −2.04137 + 1.50459i −0.131770 + 0.0971207i
\(241\) 0.263826 + 7.55499i 0.0169945 + 0.486660i 0.977813 + 0.209481i \(0.0671773\pi\)
−0.960818 + 0.277179i \(0.910600\pi\)
\(242\) 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 0.685773 + 0.727815i \(0.259464\pi\)
−0.893344 + 0.449374i \(0.851647\pi\)
\(252\) −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 0.982502 0.186253i \(-0.0596345\pi\)
−0.0128140 + 0.999918i \(0.504079\pi\)
\(258\) −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 −0.725798 0.687907i \(-0.758530\pi\)
0.843060 + 0.537819i \(0.180752\pi\)
\(264\) −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 −0.890522 0.454940i \(-0.849661\pi\)
−0.0882172 0.996101i \(-0.528117\pi\)
\(270\) −7.02187 1.96160i −0.427338 0.119379i
\(271\) −23.2198 22.4231i −1.41050 1.36211i −0.842058 0.539387i \(-0.818656\pi\)
−0.568446 0.822720i \(-0.692455\pi\)
\(272\) 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 0.0910822 0.995843i \(-0.470967\pi\)
0.980867 0.194677i \(-0.0623659\pi\)
\(278\) 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 −0.691653 0.722230i \(-0.743117\pi\)
0.697652 + 0.716437i \(0.254228\pi\)
\(282\) −17.9827 6.54517i −1.07086 0.389759i
\(283\) 19.4263 1.35842i 1.15477 0.0807497i 0.520503 0.853860i \(-0.325745\pi\)
0.634272 + 0.773110i \(0.281300\pi\)
\(284\) 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 0.787611 0.616173i \(-0.211318\pi\)
−0.927427 + 0.374005i \(0.877984\pi\)
\(294\) −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 −0.427246 0.904135i \(-0.640516\pi\)
−0.908457 + 0.417979i \(0.862738\pi\)
\(308\) −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 −0.0900974 0.995933i \(-0.528718\pi\)
−0.487391 + 0.873184i \(0.662051\pi\)
\(312\) −29.8750 + 6.35013i −1.69134 + 0.359505i
\(313\) 11.7056 7.31446i 0.661638 0.413438i −0.157117 0.987580i \(-0.550220\pi\)
0.818755 + 0.574142i \(0.194664\pi\)
\(314\) −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 −0.247875 0.968792i \(-0.579732\pi\)
−0.723591 + 0.690229i \(0.757510\pi\)
\(318\) 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 0.974514 + 0.224327i \(0.0720183\pi\)
−0.999859 + 0.0168117i \(0.994648\pi\)
\(332\) −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 0.419590 0.907714i \(-0.362174\pi\)
0.153136 + 0.988205i \(0.451063\pi\)
\(338\) 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 0.237212 0.971458i \(-0.423766\pi\)
−0.962587 + 0.270971i \(0.912655\pi\)
\(348\) 6.97600 + 8.92887i 0.373953 + 0.478638i
\(349\) −6.75464 + 11.6994i −0.361568 + 0.626254i −0.988219 0.153046i \(-0.951092\pi\)
0.626651 + 0.779300i \(0.284425\pi\)
\(350\) −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 −0.191668 0.981460i \(-0.561390\pi\)
−0.857618 + 0.514287i \(0.828056\pi\)
\(354\) 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 0.970440 0.241341i \(-0.0775872\pi\)
−0.865726 + 0.500518i \(0.833143\pi\)
\(360\) 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 −0.222846 0.974854i \(-0.571535\pi\)
−0.705578 + 0.708632i \(0.749313\pi\)
\(368\) 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 0.680701 0.732561i \(-0.261675\pi\)
0.323892 + 0.946094i \(0.395008\pi\)
\(374\) 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 −0.580332 0.814380i \(-0.697077\pi\)
0.595189 + 0.803586i \(0.297077\pi\)
\(380\) 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 0.420039 0.907506i \(-0.362016\pi\)
−0.998774 + 0.0494961i \(0.984238\pi\)
\(384\) 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 −0.330351 0.943858i \(-0.607167\pi\)
0.893294 0.449474i \(-0.148388\pi\)
\(390\) −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 −0.822408 0.568899i \(-0.807370\pi\)
0.993225 0.116211i \(-0.0370748\pi\)
\(398\) −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 −0.983493 0.180949i \(-0.942083\pi\)
0.00741802 + 0.999972i \(0.497639\pi\)
\(402\) −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 −0.558320 0.829626i \(-0.688554\pi\)
0.500911 + 0.865499i \(0.332998\pi\)
\(410\) 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 0.623198 0.782064i \(-0.285833\pi\)
−0.551208 + 0.834368i \(0.685833\pi\)
\(420\) −37.3855 13.3183i −1.82422 0.649865i
\(421\) 29.6040 8.48882i 1.44281 0.413720i 0.539239 0.842153i \(-0.318712\pi\)
0.903574 + 0.428433i \(0.140934\pi\)
\(422\) 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 −0.250080 0.968225i \(-0.580457\pi\)
−0.725161 + 0.688579i \(0.758235\pi\)
\(432\) −0.286673 1.62581i −0.0137926 0.0782216i
\(433\) −17.3035 + 16.7098i −0.831553 + 0.803021i −0.982644 0.185499i \(-0.940610\pi\)
0.151092 + 0.988520i \(0.451721\pi\)
\(434\) 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 0.971134 0.238533i \(-0.0766664\pi\)
0.211326 + 0.977416i \(0.432222\pi\)
\(440\) −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 0.147851 0.989010i \(-0.452764\pi\)
0.748984 + 0.662588i \(0.230542\pi\)
\(444\) 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 −0.596264 0.802788i \(-0.703349\pi\)
0.993367 + 0.114986i \(0.0366822\pi\)
\(450\) −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 0.165050 0.986285i \(-0.447221\pi\)
0.909962 + 0.414691i \(0.136110\pi\)
\(462\) −0.944133 27.0364i −0.0439250 1.25785i
\(463\) −13.6200 15.1266i −0.632977 0.702992i 0.338275 0.941047i \(-0.390157\pi\)
−0.971252 + 0.238056i \(0.923490\pi\)
\(464\) −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 −0.999880 0.0154687i \(-0.995076\pi\)
0.981247 + 0.192756i \(0.0617426\pi\)
\(468\) −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 0.669533 0.742782i \(-0.266494\pi\)
−0.997526 + 0.0702973i \(0.977605\pi\)
\(480\) 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 0.535935 0.844260i \(-0.319959\pi\)
−0.895655 + 0.444749i \(0.853293\pi\)
\(488\) 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 −0.253906 0.967229i \(-0.581716\pi\)
0.999923 + 0.0123705i \(0.00393774\pi\)
\(492\) 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 0.970092 0.242736i \(-0.0780449\pi\)
−0.994609 + 0.103694i \(0.966934\pi\)
\(500\) −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 0.517694 0.855566i \(-0.326791\pi\)
0.393584 + 0.919289i \(0.371235\pi\)
\(504\) 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 −0.952590 0.304258i \(-0.901591\pi\)
−0.784923 0.619593i \(-0.787298\pi\)
\(510\) 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 0.138091 0.990420i \(-0.455903\pi\)
−0.643624 + 0.765342i \(0.722570\pi\)
\(522\) −11.4013 0.797255i −0.499020 0.0348949i
\(523\) −9.00745 + 22.2942i −0.393868 + 0.974858i 0.591788 + 0.806093i \(0.298422\pi\)
−0.985656 + 0.168764i \(0.946022\pi\)
\(524\) −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 −0.467493 + 0.883997i \(0.654843\pi\)
−0.999466 + 0.0326615i \(0.989602\pi\)
\(542\) 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 0.914252 0.405145i \(-0.132779\pi\)
−0.882129 + 0.471009i \(0.843890\pi\)
\(548\) −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 −0.357274 0.934000i \(-0.616294\pi\)
0.326676 + 0.945137i \(0.394072\pi\)
\(558\) 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 0.991440 + 0.130560i \(0.0416775\pi\)
0.0262109 + 0.999656i \(0.491656\pi\)
\(564\) −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 0.453521 0.891246i \(-0.350168\pi\)
−0.707479 + 0.706734i \(0.750168\pi\)
\(570\) −21.8314 + 0.0695860i −0.914417 + 0.00291464i
\(571\) −23.7536 + 17.2580i −0.994059 + 0.722226i −0.960806 0.277221i \(-0.910587\pi\)
−0.0332527 + 0.999447i \(0.510587\pi\)
\(572\) −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 −0.664634 0.747169i \(-0.731413\pi\)
−0.911075 + 0.412242i \(0.864746\pi\)
\(578\) −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 0.949760 + 0.312978i \(0.101327\pi\)
−0.465787 + 0.884897i \(0.654229\pi\)
\(588\) 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 0.718140 + 0.695899i \(0.244994\pi\)
−0.912842 + 0.408313i \(0.866117\pi\)
\(594\) 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 0.514893 0.857255i \(-0.327832\pi\)
−0.754821 + 0.655931i \(0.772276\pi\)
\(600\) 29.8424 22.3120i 1.21831 0.910882i
\(601\) −2.70824 + 4.69082i −0.110472 + 0.191342i −0.915960 0.401268i \(-0.868569\pi\)
0.805489 + 0.592611i \(0.201903\pi\)
\(602\) −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 0.0316377 0.999499i \(-0.489928\pi\)
−0.245087 + 0.969501i \(0.578817\pi\)
\(614\) 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 0.932917 0.360093i \(-0.117255\pi\)
−0.992770 + 0.120035i \(0.961699\pi\)
\(618\) 6.88116 + 5.77398i 0.276801 + 0.232263i
\(619\) 0.462101 4.39660i 0.0185734 0.176714i −0.981302 0.192472i \(-0.938349\pi\)
0.999876 + 0.0157580i \(0.00501615\pi\)
\(620\) −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 −0.806367 0.591415i \(-0.798570\pi\)
0.562913 + 0.826516i \(0.309681\pi\)
\(632\) −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 0.330823 0.943693i \(-0.392674\pi\)
0.0578909 + 0.998323i \(0.481562\pi\)
\(642\) −13.4524 + 12.9908i −0.530922 + 0.512706i
\(643\) −33.1306 12.0586i −1.30654 0.475543i −0.407421 0.913240i \(-0.633572\pi\)
−0.899122 + 0.437697i \(0.855794\pi\)
\(644\) 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 −0.916355 0.400366i \(-0.868883\pi\)
0.0976016 + 0.995226i \(0.468883\pi\)
\(648\) −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 −0.892175 0.451689i \(-0.850822\pi\)
0.778768 0.627312i \(-0.215845\pi\)
\(654\) −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 −0.934696 0.355448i \(-0.884328\pi\)
0.907624 0.419783i \(-0.137894\pi\)
\(660\) −17.0163 10.4718i −0.662359 0.407614i
\(661\) −43.4090 + 6.10074i −1.68841 + 0.237291i −0.916956 0.398989i \(-0.869361\pi\)
−0.771458 + 0.636280i \(0.780472\pi\)
\(662\) 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 0.0915057 0.995805i \(-0.470832\pi\)
0.980784 0.195094i \(-0.0625013\pi\)
\(674\) −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 −0.409385 0.912362i \(-0.634257\pi\)
−0.745083 + 0.666972i \(0.767590\pi\)
\(678\) 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 0.827859 0.560936i \(-0.189559\pi\)
−0.277659 + 0.960680i \(0.589559\pi\)
\(684\) −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 0.538570 0.842581i \(-0.318965\pi\)
−0.894261 + 0.447546i \(0.852298\pi\)
\(692\) 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 −0.420705 0.907197i \(-0.638217\pi\)
0.820360 + 0.571847i \(0.193773\pi\)
\(702\) −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 0.939464 + 0.342648i \(0.111324\pi\)
−0.913274 + 0.407347i \(0.866454\pi\)
\(710\) −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 0.660766 0.750592i \(-0.270231\pi\)
−0.943464 + 0.331475i \(0.892454\pi\)
\(720\) 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 −0.940635 0.339419i \(-0.889770\pi\)
−0.244606 + 0.969623i \(0.578659\pi\)
\(728\) 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 0.688278 + 0.725447i \(0.258367\pi\)
−0.824066 + 0.566493i \(0.808300\pi\)
\(734\) 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 0.539141 0.842216i \(-0.318749\pi\)
−0.520635 + 0.853779i \(0.674305\pi\)
\(740\) 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 −0.934269 0.356569i \(-0.883946\pi\)
0.188918 + 0.981993i \(0.439502\pi\)
\(744\) 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 0.979560 0.201154i \(-0.0644693\pi\)
−0.0279996 + 0.999608i \(0.508914\pi\)
\(752\) 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 0.709833 0.704370i \(-0.248771\pi\)
0.0910027 + 0.995851i \(0.470993\pi\)
\(758\) −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 0.864820 0.502081i \(-0.167432\pi\)
−0.994770 + 0.102136i \(0.967432\pi\)
\(762\) 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 0.996238 + 0.0866650i \(0.0276210\pi\)
−0.838939 + 0.544226i \(0.816823\pi\)
\(770\) 15.8307 15.4983i 0.570500 0.558518i
\(771\) −50.6195