Properties

Label 483.2.y.a.193.10
Level $483$
Weight $2$
Character 483.193
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 193.10
Character \(\chi\) \(=\) 483.193
Dual form 483.2.y.a.478.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.275876 + 0.263047i) q^{2} +(-0.981929 + 0.189251i) q^{3} +(-0.0882501 - 1.85260i) q^{4} +(-3.33200 + 2.62031i) q^{5} +(-0.320672 - 0.206084i) q^{6} +(2.63533 + 0.234648i) q^{7} +(0.962219 - 1.11046i) q^{8} +(0.928368 - 0.371662i) q^{9} +O(q^{10})\) \(q+(0.275876 + 0.263047i) q^{2} +(-0.981929 + 0.189251i) q^{3} +(-0.0882501 - 1.85260i) q^{4} +(-3.33200 + 2.62031i) q^{5} +(-0.320672 - 0.206084i) q^{6} +(2.63533 + 0.234648i) q^{7} +(0.962219 - 1.11046i) q^{8} +(0.928368 - 0.371662i) q^{9} +(-1.60848 - 0.153591i) q^{10} +(-0.117858 + 0.112378i) q^{11} +(0.437262 + 1.80242i) q^{12} +(-2.17377 - 4.75990i) q^{13} +(0.665299 + 0.757948i) q^{14} +(2.77589 - 3.20354i) q^{15} +(-3.13505 + 0.299361i) q^{16} +(-1.07257 + 0.552947i) q^{17} +(0.353879 + 0.141672i) q^{18} +(-7.46548 - 3.84872i) q^{19} +(5.14843 + 5.94161i) q^{20} +(-2.63211 + 0.268331i) q^{21} -0.0620749 q^{22} +(1.51901 - 4.54891i) q^{23} +(-0.734674 + 1.27249i) q^{24} +(3.05738 - 12.6027i) q^{25} +(0.652386 - 1.88495i) q^{26} +(-0.841254 + 0.540641i) q^{27} +(0.202141 - 4.90291i) q^{28} +(-4.84295 - 3.11238i) q^{29} +(1.60848 - 0.153591i) q^{30} +(0.678487 + 1.96036i) q^{31} +(-3.25360 - 2.55866i) q^{32} +(0.0944609 - 0.132652i) q^{33} +(-0.441346 - 0.129591i) q^{34} +(-9.39575 + 6.12353i) q^{35} +(-0.770470 - 1.68709i) q^{36} +(-1.50396 + 0.602096i) q^{37} +(-1.04715 - 3.02554i) q^{38} +(3.03531 + 4.26249i) q^{39} +(-0.296360 + 6.22136i) q^{40} +(-0.616074 - 4.28489i) q^{41} +(-0.796719 - 0.618342i) q^{42} +(4.14596 + 4.78469i) q^{43} +(0.218592 + 0.208427i) q^{44} +(-2.11945 + 3.67099i) q^{45} +(1.61564 - 0.855365i) q^{46} +(0.923833 + 1.60013i) q^{47} +(3.02174 - 0.887262i) q^{48} +(6.88988 + 1.23675i) q^{49} +(4.15855 - 2.67254i) q^{50} +(0.948538 - 0.745939i) q^{51} +(-8.62635 + 4.44719i) q^{52} +(0.866331 + 1.21659i) q^{53} +(-0.374295 - 0.0721395i) q^{54} +(0.0982391 - 0.683268i) q^{55} +(2.79633 - 2.70064i) q^{56} +(8.05894 + 2.36632i) q^{57} +(-0.517352 - 2.13255i) q^{58} +(2.04871 + 0.195628i) q^{59} +(-6.17985 - 4.85989i) q^{60} +(0.139793 + 0.0269429i) q^{61} +(-0.328489 + 0.719290i) q^{62} +(2.53376 - 0.761612i) q^{63} +(0.671844 + 4.67278i) q^{64} +(19.7154 + 10.1640i) q^{65} +(0.0609531 - 0.0117478i) q^{66} +(-2.54832 + 10.5043i) q^{67} +(1.11904 + 1.93824i) q^{68} +(-0.630669 + 4.75418i) q^{69} +(-4.20283 - 0.782190i) q^{70} +(-11.4279 + 3.35554i) q^{71} +(0.480577 - 1.38854i) q^{72} +(-0.465136 - 9.76440i) q^{73} +(-0.573286 - 0.229509i) q^{74} +(-0.617053 + 12.9535i) q^{75} +(-6.47131 + 14.1702i) q^{76} +(-0.336964 + 0.268497i) q^{77} +(-0.283868 + 1.97435i) q^{78} +(7.11864 - 9.99673i) q^{79} +(9.66154 - 9.21226i) q^{80} +(0.723734 - 0.690079i) q^{81} +(0.957168 - 1.34415i) q^{82} +(1.72092 - 11.9692i) q^{83} +(0.729394 + 4.85256i) q^{84} +(2.12490 - 4.65287i) q^{85} +(-0.114829 + 2.41056i) q^{86} +(5.34445 + 2.13960i) q^{87} +(0.0113854 + 0.239009i) q^{88} +(-2.94191 + 8.50008i) q^{89} +(-1.55035 + 0.455223i) q^{90} +(-4.61170 - 13.0540i) q^{91} +(-8.56136 - 2.41267i) q^{92} +(-1.03723 - 1.79653i) q^{93} +(-0.166045 + 0.684447i) q^{94} +(34.9598 - 6.73795i) q^{95} +(3.67903 + 1.89667i) q^{96} +(0.197209 + 1.37162i) q^{97} +(1.57543 + 2.15355i) q^{98} +(-0.0676494 + 0.148131i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 8 q^{10} - 6 q^{11} - 18 q^{12} - 10 q^{14} + 18 q^{15} + 8 q^{16} + 4 q^{17} + 2 q^{18} + 18 q^{20} + 4 q^{21} - 176 q^{22} - 18 q^{23} - 6 q^{24} + 8 q^{25} - 14 q^{26} + 32 q^{27} + 46 q^{28} + 34 q^{29} - 8 q^{30} + 52 q^{31} - 8 q^{32} - 5 q^{33} - 24 q^{34} - 12 q^{35} - 14 q^{36} - 30 q^{37} - 157 q^{38} + 88 q^{40} - 28 q^{41} - 45 q^{42} + 64 q^{43} - 71 q^{44} - 2 q^{45} + 4 q^{46} + 36 q^{47} + 60 q^{48} + 28 q^{49} + 210 q^{50} - 26 q^{51} - 198 q^{52} - 10 q^{53} - 2 q^{54} - 4 q^{55} + 44 q^{57} + 31 q^{58} + 10 q^{59} - 2 q^{60} - 34 q^{61} - 8 q^{62} + 2 q^{63} + 84 q^{64} + 38 q^{65} - 12 q^{67} - 22 q^{68} + 8 q^{69} - 336 q^{70} - 144 q^{71} + 6 q^{72} - 16 q^{73} - 68 q^{74} - 30 q^{75} + 8 q^{76} + 98 q^{77} + 16 q^{78} + 26 q^{79} + 225 q^{80} + 16 q^{81} - 122 q^{82} + 44 q^{84} - 240 q^{85} - 26 q^{86} - 16 q^{87} + 43 q^{88} + 68 q^{89} - 16 q^{90} + 40 q^{91} - 222 q^{92} - 8 q^{93} + 137 q^{94} - 49 q^{95} + 30 q^{96} - 8 q^{97} + 137 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.275876 + 0.263047i 0.195074 + 0.186002i 0.781320 0.624130i \(-0.214547\pi\)
−0.586247 + 0.810133i \(0.699395\pi\)
\(3\) −0.981929 + 0.189251i −0.566917 + 0.109264i
\(4\) −0.0882501 1.85260i −0.0441251 0.926299i
\(5\) −3.33200 + 2.62031i −1.49011 + 1.17184i −0.548032 + 0.836458i \(0.684623\pi\)
−0.942082 + 0.335381i \(0.891135\pi\)
\(6\) −0.320672 0.206084i −0.130914 0.0841333i
\(7\) 2.63533 + 0.234648i 0.996059 + 0.0886886i
\(8\) 0.962219 1.11046i 0.340196 0.392607i
\(9\) 0.928368 0.371662i 0.309456 0.123887i
\(10\) −1.60848 0.153591i −0.508647 0.0485699i
\(11\) −0.117858 + 0.112378i −0.0355356 + 0.0338832i −0.707639 0.706574i \(-0.750240\pi\)
0.672103 + 0.740457i \(0.265391\pi\)
\(12\) 0.437262 + 1.80242i 0.126227 + 0.520313i
\(13\) −2.17377 4.75990i −0.602897 1.32016i −0.927328 0.374250i \(-0.877900\pi\)
0.324431 0.945909i \(-0.394827\pi\)
\(14\) 0.665299 + 0.757948i 0.177809 + 0.202570i
\(15\) 2.77589 3.20354i 0.716731 0.827151i
\(16\) −3.13505 + 0.299361i −0.783761 + 0.0748401i
\(17\) −1.07257 + 0.552947i −0.260136 + 0.134109i −0.583362 0.812213i \(-0.698263\pi\)
0.323226 + 0.946322i \(0.395233\pi\)
\(18\) 0.353879 + 0.141672i 0.0834100 + 0.0333923i
\(19\) −7.46548 3.84872i −1.71270 0.882957i −0.979101 0.203372i \(-0.934810\pi\)
−0.733597 0.679585i \(-0.762160\pi\)
\(20\) 5.14843 + 5.94161i 1.15122 + 1.32858i
\(21\) −2.63211 + 0.268331i −0.574373 + 0.0585546i
\(22\) −0.0620749 −0.0132344
\(23\) 1.51901 4.54891i 0.316735 0.948514i
\(24\) −0.734674 + 1.27249i −0.149965 + 0.259747i
\(25\) 3.05738 12.6027i 0.611475 2.52054i
\(26\) 0.652386 1.88495i 0.127943 0.369668i
\(27\) −0.841254 + 0.540641i −0.161899 + 0.104046i
\(28\) 0.202141 4.90291i 0.0382010 0.926562i
\(29\) −4.84295 3.11238i −0.899313 0.577954i 0.00727325 0.999974i \(-0.497685\pi\)
−0.906587 + 0.422020i \(0.861321\pi\)
\(30\) 1.60848 0.153591i 0.293667 0.0280418i
\(31\) 0.678487 + 1.96036i 0.121860 + 0.352091i 0.989388 0.145297i \(-0.0464138\pi\)
−0.867528 + 0.497388i \(0.834293\pi\)
\(32\) −3.25360 2.55866i −0.575161 0.452312i
\(33\) 0.0944609 0.132652i 0.0164435 0.0230917i
\(34\) −0.441346 0.129591i −0.0756902 0.0222247i
\(35\) −9.39575 + 6.12353i −1.58817 + 1.03506i
\(36\) −0.770470 1.68709i −0.128412 0.281182i
\(37\) −1.50396 + 0.602096i −0.247250 + 0.0989840i −0.491977 0.870608i \(-0.663726\pi\)
0.244727 + 0.969592i \(0.421302\pi\)
\(38\) −1.04715 3.02554i −0.169870 0.490807i
\(39\) 3.03531 + 4.26249i 0.486038 + 0.682545i
\(40\) −0.296360 + 6.22136i −0.0468586 + 0.983684i
\(41\) −0.616074 4.28489i −0.0962146 0.669187i −0.979662 0.200656i \(-0.935693\pi\)
0.883447 0.468531i \(-0.155217\pi\)
\(42\) −0.796719 0.618342i −0.122936 0.0954123i
\(43\) 4.14596 + 4.78469i 0.632252 + 0.729658i 0.977985 0.208675i \(-0.0669150\pi\)
−0.345733 + 0.938333i \(0.612370\pi\)
\(44\) 0.218592 + 0.208427i 0.0329540 + 0.0314215i
\(45\) −2.11945 + 3.67099i −0.315949 + 0.547239i
\(46\) 1.61564 0.855365i 0.238212 0.126117i
\(47\) 0.923833 + 1.60013i 0.134755 + 0.233402i 0.925504 0.378738i \(-0.123642\pi\)
−0.790749 + 0.612141i \(0.790309\pi\)
\(48\) 3.02174 0.887262i 0.436150 0.128065i
\(49\) 6.88988 + 1.23675i 0.984269 + 0.176678i
\(50\) 4.15855 2.67254i 0.588108 0.377954i
\(51\) 0.948538 0.745939i 0.132822 0.104452i
\(52\) −8.62635 + 4.44719i −1.19626 + 0.616715i
\(53\) 0.866331 + 1.21659i 0.119000 + 0.167112i 0.869779 0.493441i \(-0.164261\pi\)
−0.750779 + 0.660553i \(0.770322\pi\)
\(54\) −0.374295 0.0721395i −0.0509351 0.00981695i
\(55\) 0.0982391 0.683268i 0.0132466 0.0921318i
\(56\) 2.79633 2.70064i 0.373675 0.360888i
\(57\) 8.05894 + 2.36632i 1.06743 + 0.313427i
\(58\) −0.517352 2.13255i −0.0679316 0.280018i
\(59\) 2.04871 + 0.195628i 0.266719 + 0.0254686i 0.227559 0.973764i \(-0.426926\pi\)
0.0391605 + 0.999233i \(0.487532\pi\)
\(60\) −6.17985 4.85989i −0.797815 0.627409i
\(61\) 0.139793 + 0.0269429i 0.0178987 + 0.00344969i 0.198193 0.980163i \(-0.436493\pi\)
−0.180294 + 0.983613i \(0.557705\pi\)
\(62\) −0.328489 + 0.719290i −0.0417181 + 0.0913499i
\(63\) 2.53376 0.761612i 0.319224 0.0959541i
\(64\) 0.671844 + 4.67278i 0.0839805 + 0.584097i
\(65\) 19.7154 + 10.1640i 2.44540 + 1.26069i
\(66\) 0.0609531 0.0117478i 0.00750281 0.00144605i
\(67\) −2.54832 + 10.5043i −0.311327 + 1.28331i 0.574197 + 0.818717i \(0.305314\pi\)
−0.885525 + 0.464592i \(0.846201\pi\)
\(68\) 1.11904 + 1.93824i 0.135704 + 0.235046i
\(69\) −0.630669 + 4.75418i −0.0759236 + 0.572336i
\(70\) −4.20283 0.782190i −0.502335 0.0934896i
\(71\) −11.4279 + 3.35554i −1.35625 + 0.398230i −0.877438 0.479690i \(-0.840749\pi\)
−0.478808 + 0.877920i \(0.658931\pi\)
\(72\) 0.480577 1.38854i 0.0566365 0.163641i
\(73\) −0.465136 9.76440i −0.0544400 1.14284i −0.846498 0.532391i \(-0.821294\pi\)
0.792058 0.610445i \(-0.209010\pi\)
\(74\) −0.573286 0.229509i −0.0666432 0.0266799i
\(75\) −0.617053 + 12.9535i −0.0712512 + 1.49575i
\(76\) −6.47131 + 14.1702i −0.742310 + 1.62543i
\(77\) −0.336964 + 0.268497i −0.0384007 + 0.0305980i
\(78\) −0.283868 + 1.97435i −0.0321418 + 0.223551i
\(79\) 7.11864 9.99673i 0.800910 1.12472i −0.188854 0.982005i \(-0.560477\pi\)
0.989764 0.142715i \(-0.0455832\pi\)
\(80\) 9.66154 9.21226i 1.08019 1.02996i
\(81\) 0.723734 0.690079i 0.0804149 0.0766754i
\(82\) 0.957168 1.34415i 0.105701 0.148437i
\(83\) 1.72092 11.9692i 0.188895 1.31380i −0.645979 0.763355i \(-0.723551\pi\)
0.834874 0.550441i \(-0.185540\pi\)
\(84\) 0.729394 + 4.85256i 0.0795834 + 0.529458i
\(85\) 2.12490 4.65287i 0.230477 0.504675i
\(86\) −0.114829 + 2.41056i −0.0123823 + 0.259937i
\(87\) 5.34445 + 2.13960i 0.572985 + 0.229389i
\(88\) 0.0113854 + 0.239009i 0.00121369 + 0.0254784i
\(89\) −2.94191 + 8.50008i −0.311842 + 0.901007i 0.674786 + 0.738014i \(0.264236\pi\)
−0.986627 + 0.162993i \(0.947885\pi\)
\(90\) −1.55035 + 0.455223i −0.163421 + 0.0479847i
\(91\) −4.61170 13.0540i −0.483438 1.36843i
\(92\) −8.56136 2.41267i −0.892584 0.251538i
\(93\) −1.03723 1.79653i −0.107555 0.186291i
\(94\) −0.166045 + 0.684447i −0.0171262 + 0.0705953i
\(95\) 34.9598 6.73795i 3.58680 0.691299i
\(96\) 3.67903 + 1.89667i 0.375490 + 0.193578i
\(97\) 0.197209 + 1.37162i 0.0200235 + 0.139267i 0.997381 0.0723289i \(-0.0230431\pi\)
−0.977357 + 0.211596i \(0.932134\pi\)
\(98\) 1.57543 + 2.15355i 0.159142 + 0.217541i
\(99\) −0.0676494 + 0.148131i −0.00679902 + 0.0148878i
\(100\) −23.6175 4.55190i −2.36175 0.455190i
\(101\) −1.06045 0.833945i −0.105518 0.0829806i 0.564006 0.825771i \(-0.309260\pi\)
−0.669524 + 0.742790i \(0.733502\pi\)
\(102\) 0.457896 + 0.0437237i 0.0453384 + 0.00432929i
\(103\) 1.46562 + 6.04136i 0.144412 + 0.595273i 0.997317 + 0.0732068i \(0.0233233\pi\)
−0.852905 + 0.522066i \(0.825162\pi\)
\(104\) −7.37733 2.16618i −0.723406 0.212411i
\(105\) 8.06707 7.79102i 0.787265 0.760326i
\(106\) −0.0810211 + 0.563514i −0.00786946 + 0.0547333i
\(107\) −14.1991 2.73665i −1.37268 0.264562i −0.550994 0.834509i \(-0.685751\pi\)
−0.821681 + 0.569947i \(0.806964\pi\)
\(108\) 1.07583 + 1.51079i 0.103522 + 0.145376i
\(109\) 9.66983 4.98515i 0.926202 0.477490i 0.0719843 0.997406i \(-0.477067\pi\)
0.854218 + 0.519915i \(0.174037\pi\)
\(110\) 0.206833 0.162656i 0.0197208 0.0155086i
\(111\) 1.36284 0.875842i 0.129355 0.0831313i
\(112\) −8.33211 + 0.0532805i −0.787310 + 0.00503454i
\(113\) −8.58625 + 2.52115i −0.807726 + 0.237170i −0.659423 0.751772i \(-0.729199\pi\)
−0.148303 + 0.988942i \(0.547381\pi\)
\(114\) 1.60081 + 2.77269i 0.149930 + 0.259686i
\(115\) 6.85824 + 19.1372i 0.639535 + 1.78456i
\(116\) −5.33859 + 9.24671i −0.495676 + 0.858535i
\(117\) −3.78714 3.61103i −0.350121 0.333840i
\(118\) 0.513730 + 0.592876i 0.0472927 + 0.0545787i
\(119\) −2.95631 + 1.20552i −0.271004 + 0.110510i
\(120\) −0.886396 6.16502i −0.0809165 0.562787i
\(121\) −0.522139 + 10.9611i −0.0474672 + 0.996459i
\(122\) 0.0314783 + 0.0442050i 0.00284991 + 0.00400214i
\(123\) 1.41586 + 4.09086i 0.127664 + 0.368861i
\(124\) 3.57188 1.42997i 0.320765 0.128415i
\(125\) 14.0313 + 30.7242i 1.25499 + 2.74805i
\(126\) 0.899343 + 0.456388i 0.0801198 + 0.0406583i
\(127\) −16.3167 4.79103i −1.44788 0.425135i −0.539037 0.842282i \(-0.681212\pi\)
−0.908839 + 0.417147i \(0.863030\pi\)
\(128\) −5.84571 + 8.20916i −0.516693 + 0.725594i
\(129\) −4.97654 3.91360i −0.438160 0.344573i
\(130\) 2.76540 + 7.99009i 0.242541 + 0.700777i
\(131\) 11.5518 1.10306i 1.00929 0.0963752i 0.422707 0.906267i \(-0.361080\pi\)
0.586580 + 0.809891i \(0.300474\pi\)
\(132\) −0.254087 0.163292i −0.0221154 0.0142127i
\(133\) −18.7709 11.8944i −1.62764 1.03137i
\(134\) −3.46615 + 2.22756i −0.299430 + 0.192432i
\(135\) 1.38641 4.00576i 0.119323 0.344761i
\(136\) −0.418019 + 1.72310i −0.0358448 + 0.147754i
\(137\) 0.156764 0.271523i 0.0133932 0.0231977i −0.859251 0.511554i \(-0.829070\pi\)
0.872644 + 0.488356i \(0.162403\pi\)
\(138\) −1.42456 + 1.14567i −0.121267 + 0.0975258i
\(139\) 11.4853 0.974174 0.487087 0.873353i \(-0.338059\pi\)
0.487087 + 0.873353i \(0.338059\pi\)
\(140\) 12.1736 + 16.8661i 1.02886 + 1.42545i
\(141\) −1.20996 1.39637i −0.101897 0.117596i
\(142\) −4.03535 2.08037i −0.338639 0.174581i
\(143\) 0.791104 + 0.316710i 0.0661555 + 0.0264847i
\(144\) −2.79921 + 1.44310i −0.233268 + 0.120258i
\(145\) 24.2921 2.31961i 2.01735 0.192633i
\(146\) 2.44018 2.81611i 0.201950 0.233063i
\(147\) −6.99943 + 0.0895208i −0.577303 + 0.00738355i
\(148\) 1.24817 + 2.73310i 0.102599 + 0.224660i
\(149\) 4.47557 + 18.4485i 0.366653 + 1.51136i 0.794361 + 0.607446i \(0.207806\pi\)
−0.427708 + 0.903917i \(0.640679\pi\)
\(150\) −3.57762 + 3.41125i −0.292112 + 0.278528i
\(151\) −2.26907 0.216670i −0.184655 0.0176324i 0.00231907 0.999997i \(-0.499262\pi\)
−0.186974 + 0.982365i \(0.559868\pi\)
\(152\) −11.4573 + 4.58680i −0.929308 + 0.372039i
\(153\) −0.790227 + 0.911971i −0.0638861 + 0.0737285i
\(154\) −0.163588 0.0145657i −0.0131823 0.00117374i
\(155\) −7.39747 4.75407i −0.594179 0.381856i
\(156\) 7.62882 5.99937i 0.610795 0.480334i
\(157\) −0.219236 4.60233i −0.0174969 0.367306i −0.990587 0.136882i \(-0.956292\pi\)
0.973090 0.230424i \(-0.0740112\pi\)
\(158\) 4.59347 0.885319i 0.365437 0.0704322i
\(159\) −1.08092 1.03065i −0.0857223 0.0817361i
\(160\) 17.5455 1.38709
\(161\) 5.07047 11.6314i 0.399609 0.916686i
\(162\) 0.381184 0.0299486
\(163\) −16.0339 15.2883i −1.25587 1.19747i −0.971047 0.238888i \(-0.923217\pi\)
−0.284821 0.958581i \(-0.591934\pi\)
\(164\) −7.88381 + 1.51948i −0.615622 + 0.118651i
\(165\) 0.0328455 + 0.689512i 0.00255702 + 0.0536785i
\(166\) 3.62323 2.84934i 0.281218 0.221152i
\(167\) −10.5050 6.75118i −0.812904 0.522422i 0.0668990 0.997760i \(-0.478689\pi\)
−0.879803 + 0.475338i \(0.842326\pi\)
\(168\) −2.23469 + 3.18104i −0.172410 + 0.245423i
\(169\) −9.41818 + 10.8692i −0.724475 + 0.836089i
\(170\) 1.81013 0.724668i 0.138831 0.0555795i
\(171\) −8.36114 0.798392i −0.639392 0.0610545i
\(172\) 8.49823 8.10304i 0.647984 0.617851i
\(173\) 2.16337 + 8.91754i 0.164478 + 0.677988i 0.993008 + 0.118044i \(0.0376623\pi\)
−0.828530 + 0.559944i \(0.810823\pi\)
\(174\) 0.911590 + 1.99610i 0.0691075 + 0.151324i
\(175\) 11.0144 32.4948i 0.832609 2.45637i
\(176\) 0.335850 0.387591i 0.0253156 0.0292158i
\(177\) −2.04871 + 0.195628i −0.153990 + 0.0147043i
\(178\) −3.04752 + 1.57111i −0.228421 + 0.117759i
\(179\) 4.53150 + 1.81414i 0.338700 + 0.135595i 0.534776 0.844994i \(-0.320396\pi\)
−0.196076 + 0.980589i \(0.562820\pi\)
\(180\) 6.98791 + 3.60252i 0.520848 + 0.268516i
\(181\) 3.56947 + 4.11939i 0.265317 + 0.306192i 0.872739 0.488188i \(-0.162342\pi\)
−0.607422 + 0.794379i \(0.707796\pi\)
\(182\) 2.16155 4.81437i 0.160225 0.356865i
\(183\) −0.142366 −0.0105240
\(184\) −3.58977 6.06385i −0.264641 0.447033i
\(185\) 3.43352 5.94703i 0.252437 0.437235i
\(186\) 0.186426 0.768458i 0.0136694 0.0563461i
\(187\) 0.0642721 0.185702i 0.00470004 0.0135799i
\(188\) 2.88286 1.85270i 0.210254 0.135122i
\(189\) −2.34384 + 1.22737i −0.170489 + 0.0892777i
\(190\) 11.4170 + 7.33723i 0.828273 + 0.532299i
\(191\) 10.6953 1.02127i 0.773882 0.0738968i 0.299360 0.954140i \(-0.403227\pi\)
0.474522 + 0.880243i \(0.342621\pi\)
\(192\) −1.54403 4.46119i −0.111431 0.321958i
\(193\) 15.6643 + 12.3186i 1.12754 + 0.886710i 0.994535 0.104405i \(-0.0332938\pi\)
0.133009 + 0.991115i \(0.457536\pi\)
\(194\) −0.306395 + 0.430271i −0.0219979 + 0.0308917i
\(195\) −21.2827 6.24916i −1.52409 0.447512i
\(196\) 1.68316 12.8733i 0.120226 0.919523i
\(197\) −6.13495 13.4337i −0.437097 0.957110i −0.992122 0.125276i \(-0.960018\pi\)
0.555025 0.831834i \(-0.312709\pi\)
\(198\) −0.0576283 + 0.0230709i −0.00409547 + 0.00163958i
\(199\) −3.83305 11.0749i −0.271717 0.785076i −0.995475 0.0950218i \(-0.969708\pi\)
0.723758 0.690054i \(-0.242413\pi\)
\(200\) −11.0529 15.5216i −0.781558 1.09755i
\(201\) 0.514314 10.7968i 0.0362769 0.761546i
\(202\) −0.0731850 0.509013i −0.00514928 0.0358140i
\(203\) −12.0324 9.33851i −0.844512 0.655435i
\(204\) −1.46563 1.69143i −0.102615 0.118424i
\(205\) 13.2805 + 12.6629i 0.927551 + 0.884418i
\(206\) −1.18483 + 2.05219i −0.0825512 + 0.142983i
\(207\) −0.280463 4.78762i −0.0194936 0.332763i
\(208\) 8.23981 + 14.2718i 0.571328 + 0.989569i
\(209\) 1.31238 0.385349i 0.0907792 0.0266552i
\(210\) 4.27491 0.0273364i 0.294997 0.00188639i
\(211\) −0.765138 + 0.491724i −0.0526742 + 0.0338517i −0.566713 0.823915i \(-0.691785\pi\)
0.514039 + 0.857767i \(0.328149\pi\)
\(212\) 2.17740 1.71233i 0.149545 0.117603i
\(213\) 10.5864 5.45765i 0.725366 0.373952i
\(214\) −3.19731 4.49000i −0.218564 0.306930i
\(215\) −26.3517 5.07887i −1.79717 0.346376i
\(216\) −0.209110 + 1.45439i −0.0142281 + 0.0989589i
\(217\) 1.32804 + 5.32539i 0.0901532 + 0.361511i
\(218\) 3.97900 + 1.16834i 0.269492 + 0.0791299i
\(219\) 2.30466 + 9.49992i 0.155734 + 0.641945i
\(220\) −1.27449 0.121699i −0.0859261 0.00820495i
\(221\) 4.96349 + 3.90333i 0.333880 + 0.262566i
\(222\) 0.606361 + 0.116867i 0.0406963 + 0.00784357i
\(223\) 0.685100 1.50016i 0.0458777 0.100458i −0.885305 0.465010i \(-0.846051\pi\)
0.931183 + 0.364552i \(0.118778\pi\)
\(224\) −7.97391 7.50635i −0.532780 0.501539i
\(225\) −1.84557 12.8362i −0.123038 0.855749i
\(226\) −3.03192 1.56306i −0.201680 0.103973i
\(227\) −0.706694 + 0.136204i −0.0469049 + 0.00904019i −0.212650 0.977128i \(-0.568209\pi\)
0.165745 + 0.986169i \(0.446997\pi\)
\(228\) 3.67264 15.1388i 0.243226 1.00259i
\(229\) 0.0400333 + 0.0693397i 0.00264548 + 0.00458210i 0.867345 0.497707i \(-0.165825\pi\)
−0.864700 + 0.502289i \(0.832491\pi\)
\(230\) −3.14197 + 7.08354i −0.207175 + 0.467075i
\(231\) 0.280062 0.327416i 0.0184267 0.0215424i
\(232\) −8.11615 + 2.38312i −0.532851 + 0.156459i
\(233\) 8.26561 23.8819i 0.541498 1.56456i −0.259409 0.965768i \(-0.583528\pi\)
0.800907 0.598788i \(-0.204351\pi\)
\(234\) −0.0949093 1.99239i −0.00620441 0.130247i
\(235\) −7.27104 2.91088i −0.474310 0.189885i
\(236\) 0.181621 3.81270i 0.0118225 0.248186i
\(237\) −5.09810 + 11.1633i −0.331157 + 0.725134i
\(238\) −1.13268 0.445075i −0.0734209 0.0288499i
\(239\) 0.739756 5.14512i 0.0478508 0.332810i −0.951808 0.306694i \(-0.900777\pi\)
0.999659 0.0261156i \(-0.00831380\pi\)
\(240\) −7.74351 + 10.8742i −0.499842 + 0.701929i
\(241\) −0.865744 + 0.825486i −0.0557675 + 0.0531742i −0.717450 0.696610i \(-0.754691\pi\)
0.661683 + 0.749784i \(0.269843\pi\)
\(242\) −3.02732 + 2.88654i −0.194603 + 0.185554i
\(243\) −0.580057 + 0.814576i −0.0372107 + 0.0522551i
\(244\) 0.0375776 0.261358i 0.00240566 0.0167317i
\(245\) −26.1977 + 13.9328i −1.67371 + 0.890134i
\(246\) −0.685488 + 1.50101i −0.0437051 + 0.0957008i
\(247\) −2.09127 + 43.9012i −0.133064 + 2.79337i
\(248\) 2.82975 + 1.13286i 0.179690 + 0.0719369i
\(249\) 0.575376 + 12.0786i 0.0364630 + 0.765452i
\(250\) −4.21102 + 12.1669i −0.266328 + 0.769505i
\(251\) 22.5191 6.61220i 1.42139 0.417358i 0.521418 0.853302i \(-0.325403\pi\)
0.899974 + 0.435943i \(0.143585\pi\)
\(252\) −1.63457 4.62683i −0.102968 0.291463i
\(253\) 0.332169 + 0.706830i 0.0208833 + 0.0444380i
\(254\) −3.24113 5.61380i −0.203366 0.352241i
\(255\) −1.20593 + 4.97093i −0.0755186 + 0.311292i
\(256\) 5.49895 1.05984i 0.343684 0.0662397i
\(257\) 13.4388 + 6.92821i 0.838292 + 0.432170i 0.823224 0.567717i \(-0.192173\pi\)
0.0150683 + 0.999886i \(0.495203\pi\)
\(258\) −0.343448 2.38873i −0.0213821 0.148716i
\(259\) −4.10471 + 1.23382i −0.255054 + 0.0766657i
\(260\) 17.0899 37.4217i 1.05987 2.32080i
\(261\) −5.65279 1.08949i −0.349899 0.0674375i
\(262\) 3.47702 + 2.73436i 0.214811 + 0.168929i
\(263\) −25.2713 2.41312i −1.55830 0.148799i −0.719984 0.693991i \(-0.755851\pi\)
−0.838312 + 0.545192i \(0.816457\pi\)
\(264\) −0.0564124 0.232535i −0.00347194 0.0143115i
\(265\) −6.07446 1.78362i −0.373151 0.109567i
\(266\) −2.04964 8.21900i −0.125672 0.503939i
\(267\) 1.28009 8.90324i 0.0783404 0.544869i
\(268\) 19.6852 + 3.79401i 1.20247 + 0.231756i
\(269\) 1.26808 + 1.78076i 0.0773159 + 0.108575i 0.851423 0.524480i \(-0.175740\pi\)
−0.774107 + 0.633055i \(0.781801\pi\)
\(270\) 1.43618 0.740402i 0.0874031 0.0450594i
\(271\) 2.17056 1.70694i 0.131852 0.103689i −0.550055 0.835128i \(-0.685393\pi\)
0.681907 + 0.731439i \(0.261151\pi\)
\(272\) 3.19701 2.05460i 0.193847 0.124578i
\(273\) 6.99884 + 11.9453i 0.423589 + 0.722962i
\(274\) 0.114670 0.0336703i 0.00692750 0.00203410i
\(275\) 1.05592 + 1.82891i 0.0636746 + 0.110288i
\(276\) 8.86325 + 0.748818i 0.533505 + 0.0450736i
\(277\) 4.37380 7.57564i 0.262796 0.455176i −0.704188 0.710014i \(-0.748689\pi\)
0.966984 + 0.254838i \(0.0820220\pi\)
\(278\) 3.16853 + 3.02118i 0.190036 + 0.181199i
\(279\) 1.35848 + 1.56777i 0.0813299 + 0.0938598i
\(280\) −2.24083 + 16.3258i −0.133915 + 0.975652i
\(281\) −1.24337 8.64785i −0.0741734 0.515888i −0.992708 0.120546i \(-0.961535\pi\)
0.918534 0.395341i \(-0.129374\pi\)
\(282\) 0.0335120 0.703503i 0.00199561 0.0418930i
\(283\) −14.2191 19.9679i −0.845238 1.18697i −0.980570 0.196171i \(-0.937149\pi\)
0.135332 0.990800i \(-0.456790\pi\)
\(284\) 7.22499 + 20.8752i 0.428724 + 1.23872i
\(285\) −33.0529 + 13.2324i −1.95788 + 0.783818i
\(286\) 0.134937 + 0.295470i 0.00797898 + 0.0174715i
\(287\) −0.618115 11.4366i −0.0364862 0.675084i
\(288\) −3.97150 1.16614i −0.234023 0.0687153i
\(289\) −9.01632 + 12.6616i −0.530372 + 0.744803i
\(290\) 7.31176 + 5.75003i 0.429362 + 0.337654i
\(291\) −0.453225 1.30951i −0.0265685 0.0767648i
\(292\) −18.0485 + 1.72342i −1.05621 + 0.100855i
\(293\) −2.77762 1.78507i −0.162270 0.104285i 0.456985 0.889474i \(-0.348929\pi\)
−0.619256 + 0.785189i \(0.712566\pi\)
\(294\) −1.95452 1.81648i −0.113990 0.105939i
\(295\) −7.33890 + 4.71643i −0.427287 + 0.274601i
\(296\) −0.778538 + 2.24944i −0.0452516 + 0.130746i
\(297\) 0.0383928 0.158257i 0.00222778 0.00918302i
\(298\) −3.61813 + 6.26679i −0.209593 + 0.363025i
\(299\) −24.9544 + 2.65799i −1.44315 + 0.153715i
\(300\) 24.0522 1.38865
\(301\) 9.80323 + 13.5821i 0.565049 + 0.782857i
\(302\) −0.568988 0.656647i −0.0327416 0.0377858i
\(303\) 1.19911 + 0.618184i 0.0688870 + 0.0355137i
\(304\) 24.5568 + 9.83105i 1.40843 + 0.563849i
\(305\) −0.536389 + 0.276528i −0.0307135 + 0.0158339i
\(306\) −0.457896 + 0.0437237i −0.0261761 + 0.00249952i
\(307\) 6.50966 7.51255i 0.371526 0.428764i −0.538942 0.842343i \(-0.681176\pi\)
0.910468 + 0.413579i \(0.135721\pi\)
\(308\) 0.527154 + 0.600565i 0.0300374 + 0.0342204i
\(309\) −2.58247 5.65481i −0.146911 0.321691i
\(310\) −0.790240 3.25741i −0.0448826 0.185009i
\(311\) 9.49693 9.05530i 0.538521 0.513479i −0.371281 0.928520i \(-0.621081\pi\)
0.909802 + 0.415041i \(0.136233\pi\)
\(312\) 7.65396 + 0.730865i 0.433320 + 0.0413771i
\(313\) 14.6295 5.85679i 0.826911 0.331045i 0.0806864 0.996740i \(-0.474289\pi\)
0.746224 + 0.665694i \(0.231865\pi\)
\(314\) 1.15015 1.32734i 0.0649065 0.0749061i
\(315\) −6.44682 + 9.17693i −0.363237 + 0.517062i
\(316\) −19.1481 12.3058i −1.07717 0.692253i
\(317\) −15.0723 + 11.8530i −0.846547 + 0.665732i −0.944158 0.329492i \(-0.893122\pi\)
0.0976108 + 0.995225i \(0.468880\pi\)
\(318\) −0.0270888 0.568664i −0.00151906 0.0318891i
\(319\) 0.920544 0.177420i 0.0515406 0.00993363i
\(320\) −14.4827 13.8092i −0.809608 0.771960i
\(321\) 14.4604 0.807100
\(322\) 4.45843 1.87506i 0.248459 0.104493i
\(323\) 10.1354 0.563947
\(324\) −1.34231 1.27989i −0.0745727 0.0711049i
\(325\) −66.6336 + 12.8426i −3.69616 + 0.712377i
\(326\) −0.401824 8.43532i −0.0222550 0.467189i
\(327\) −8.55164 + 6.72508i −0.472907 + 0.371898i
\(328\) −5.35100 3.43888i −0.295459 0.189880i
\(329\) 2.05913 + 4.43363i 0.113524 + 0.244434i
\(330\) −0.172313 + 0.198860i −0.00948551 + 0.0109469i
\(331\) 18.8340 7.53998i 1.03521 0.414435i 0.209069 0.977901i \(-0.432957\pi\)
0.826139 + 0.563466i \(0.190532\pi\)
\(332\) −22.3261 2.13188i −1.22530 0.117002i
\(333\) −1.17245 + 1.11793i −0.0642501 + 0.0612624i
\(334\) −1.12221 4.62580i −0.0614045 0.253113i
\(335\) −19.0336 41.6778i −1.03992 2.27710i
\(336\) 8.17145 1.62918i 0.445789 0.0888790i
\(337\) 9.50193 10.9658i 0.517603 0.597346i −0.435426 0.900225i \(-0.643402\pi\)
0.953029 + 0.302879i \(0.0979476\pi\)
\(338\) −5.45735 + 0.521113i −0.296841 + 0.0283448i
\(339\) 7.95395 4.10055i 0.431999 0.222711i
\(340\) −8.80743 3.52596i −0.477650 0.191222i
\(341\) −0.300266 0.154798i −0.0162603 0.00838278i
\(342\) −2.09662 2.41963i −0.113372 0.130839i
\(343\) 17.8669 + 4.87593i 0.964721 + 0.263275i
\(344\) 9.30252 0.501558
\(345\) −10.3561 17.4935i −0.557551 0.941817i
\(346\) −1.74891 + 3.02920i −0.0940220 + 0.162851i
\(347\) 7.65839 31.5683i 0.411124 1.69468i −0.270291 0.962779i \(-0.587120\pi\)
0.681415 0.731897i \(-0.261365\pi\)
\(348\) 3.49216 10.0899i 0.187200 0.540878i
\(349\) −4.83512 + 3.10735i −0.258818 + 0.166332i −0.663615 0.748074i \(-0.730979\pi\)
0.404797 + 0.914407i \(0.367342\pi\)
\(350\) 11.5862 6.06722i 0.619311 0.324306i
\(351\) 4.40209 + 2.82905i 0.234966 + 0.151004i
\(352\) 0.671001 0.0640728i 0.0357645 0.00341509i
\(353\) 6.84670 + 19.7822i 0.364413 + 1.05290i 0.966984 + 0.254837i \(0.0820219\pi\)
−0.602571 + 0.798065i \(0.705857\pi\)
\(354\) −0.616649 0.484938i −0.0327745 0.0257742i
\(355\) 29.2853 41.1254i 1.55430 2.18271i
\(356\) 16.0069 + 4.70004i 0.848362 + 0.249102i
\(357\) 2.67474 1.74322i 0.141562 0.0922609i
\(358\) 0.772927 + 1.69247i 0.0408505 + 0.0894500i
\(359\) −1.45609 + 0.582932i −0.0768496 + 0.0307660i −0.409769 0.912189i \(-0.634391\pi\)
0.332919 + 0.942955i \(0.391966\pi\)
\(360\) 2.03712 + 5.88586i 0.107365 + 0.310212i
\(361\) 29.8996 + 41.9882i 1.57366 + 2.20990i
\(362\) −0.0988624 + 2.07538i −0.00519609 + 0.109079i
\(363\) −1.56169 10.8618i −0.0819674 0.570096i
\(364\) −23.7768 + 9.69564i −1.24624 + 0.508190i
\(365\) 27.1356 + 31.3162i 1.42034 + 1.63916i
\(366\) −0.0392753 0.0374489i −0.00205295 0.00195749i
\(367\) 4.24321 7.34946i 0.221494 0.383639i −0.733768 0.679400i \(-0.762240\pi\)
0.955262 + 0.295761i \(0.0955734\pi\)
\(368\) −3.40039 + 14.7158i −0.177258 + 0.767113i
\(369\) −2.16448 3.74898i −0.112678 0.195164i
\(370\) 2.51157 0.737465i 0.130571 0.0383390i
\(371\) 1.99759 + 3.40940i 0.103710 + 0.177007i
\(372\) −3.23671 + 2.08011i −0.167816 + 0.107849i
\(373\) 9.36239 7.36266i 0.484766 0.381224i −0.345654 0.938362i \(-0.612343\pi\)
0.830420 + 0.557138i \(0.188100\pi\)
\(374\) 0.0665795 0.0343241i 0.00344274 0.00177486i
\(375\) −19.5923 27.5135i −1.01174 1.42079i
\(376\) 2.66580 + 0.513792i 0.137478 + 0.0264968i
\(377\) −4.28712 + 29.8176i −0.220798 + 1.53568i
\(378\) −0.969463 0.277939i −0.0498638 0.0142956i
\(379\) 15.0723 + 4.42561i 0.774210 + 0.227328i 0.644891 0.764275i \(-0.276903\pi\)
0.129319 + 0.991603i \(0.458721\pi\)
\(380\) −15.5679 64.1718i −0.798617 3.29195i
\(381\) 16.9286 + 1.61648i 0.867278 + 0.0828150i
\(382\) 3.21921 + 2.53161i 0.164709 + 0.129529i
\(383\) −34.9345 6.73307i −1.78507 0.344044i −0.813639 0.581371i \(-0.802517\pi\)
−0.971430 + 0.237327i \(0.923729\pi\)
\(384\) 4.18648 9.16712i 0.213640 0.467807i
\(385\) 0.419219 1.77758i 0.0213654 0.0905939i
\(386\) 1.08105 + 7.51885i 0.0550239 + 0.382699i
\(387\) 5.62726 + 2.90106i 0.286050 + 0.147469i
\(388\) 2.52365 0.486394i 0.128119 0.0246929i
\(389\) 6.01046 24.7754i 0.304742 1.25616i −0.589202 0.807986i \(-0.700558\pi\)
0.893944 0.448179i \(-0.147927\pi\)
\(390\) −4.22756 7.32234i −0.214071 0.370781i
\(391\) 0.886070 + 5.71894i 0.0448105 + 0.289219i
\(392\) 8.00293 6.46091i 0.404209 0.326325i
\(393\) −11.1343 + 3.26933i −0.561651 + 0.164916i
\(394\) 1.84120 5.31981i 0.0927584 0.268008i
\(395\) 2.47526 + 51.9621i 0.124544 + 2.61450i
\(396\) 0.280398 + 0.112254i 0.0140905 + 0.00564100i
\(397\) −0.00340927 + 0.0715694i −0.000171106 + 0.00359197i −0.998951 0.0457859i \(-0.985421\pi\)
0.998780 + 0.0493778i \(0.0157238\pi\)
\(398\) 1.85576 4.06356i 0.0930210 0.203688i
\(399\) 20.6827 + 8.12704i 1.03543 + 0.406861i
\(400\) −5.81227 + 40.4252i −0.290614 + 2.02126i
\(401\) 3.44028 4.83119i 0.171799 0.241258i −0.719695 0.694290i \(-0.755718\pi\)
0.891494 + 0.453032i \(0.149658\pi\)
\(402\) 2.98195 2.84328i 0.148726 0.141810i
\(403\) 7.85624 7.49091i 0.391347 0.373149i
\(404\) −1.45138 + 2.03818i −0.0722089 + 0.101403i
\(405\) −0.603258 + 4.19575i −0.0299761 + 0.208488i
\(406\) −0.862991 5.74136i −0.0428295 0.284939i
\(407\) 0.109592 0.239974i 0.00543230 0.0118951i
\(408\) 0.0843665 1.77107i 0.00417676 0.0876810i
\(409\) −17.0533 6.82709i −0.843229 0.337578i −0.0904903 0.995897i \(-0.528843\pi\)
−0.752739 + 0.658319i \(0.771268\pi\)
\(410\) 0.332822 + 6.98679i 0.0164369 + 0.345053i
\(411\) −0.102545 + 0.296284i −0.00505816 + 0.0146146i
\(412\) 11.0629 3.24835i 0.545028 0.160035i
\(413\) 5.35311 + 0.996269i 0.263409 + 0.0490232i
\(414\) 1.18200 1.39456i 0.0580920 0.0685391i
\(415\) 25.6291 + 44.3908i 1.25808 + 2.17906i
\(416\) −5.10638 + 21.0488i −0.250361 + 1.03200i
\(417\) −11.2778 + 2.17362i −0.552276 + 0.106442i
\(418\) 0.463419 + 0.238909i 0.0226666 + 0.0116854i
\(419\) −2.15524 14.9900i −0.105290 0.732310i −0.972252 0.233935i \(-0.924840\pi\)
0.866962 0.498374i \(-0.166070\pi\)
\(420\) −15.1456 14.2575i −0.739027 0.695694i
\(421\) 4.17586 9.14385i 0.203519 0.445644i −0.780159 0.625581i \(-0.784862\pi\)
0.983678 + 0.179937i \(0.0575893\pi\)
\(422\) −0.340429 0.0656124i −0.0165718 0.00319396i
\(423\) 1.45236 + 1.14215i 0.0706163 + 0.0555333i
\(424\) 2.18458 + 0.208602i 0.106092 + 0.0101306i
\(425\) 3.68937 + 15.2078i 0.178961 + 0.737686i
\(426\) 4.35614 + 1.27908i 0.211056 + 0.0619716i
\(427\) 0.362078 + 0.103805i 0.0175222 + 0.00502350i
\(428\) −3.81684 + 26.5467i −0.184494 + 1.28318i
\(429\) −0.836746 0.161270i −0.0403985 0.00778617i
\(430\) −5.93381 8.33287i −0.286154 0.401847i
\(431\) −5.03233 + 2.59434i −0.242399 + 0.124965i −0.575146 0.818051i \(-0.695055\pi\)
0.332747 + 0.943016i \(0.392024\pi\)
\(432\) 2.47552 1.94677i 0.119104 0.0936641i
\(433\) 8.60220 5.52830i 0.413395 0.265673i −0.317370 0.948302i \(-0.602800\pi\)
0.730765 + 0.682629i \(0.239163\pi\)
\(434\) −1.03445 + 1.81848i −0.0496554 + 0.0872900i
\(435\) −23.4141 + 6.87500i −1.12262 + 0.329631i
\(436\) −10.0888 17.4744i −0.483168 0.836871i
\(437\) −28.8476 + 28.1136i −1.37997 + 1.34486i
\(438\) −1.86313 + 3.22703i −0.0890236 + 0.154193i
\(439\) −4.08108 3.89130i −0.194779 0.185722i 0.586413 0.810012i \(-0.300540\pi\)
−0.781192 + 0.624291i \(0.785388\pi\)
\(440\) −0.664214 0.766544i −0.0316652 0.0365435i
\(441\) 6.85600 1.41255i 0.326476 0.0672644i
\(442\) 0.342547 + 2.38246i 0.0162933 + 0.113322i
\(443\) −1.14597 + 24.0569i −0.0544468 + 1.14298i 0.792005 + 0.610514i \(0.209037\pi\)
−0.846452 + 0.532465i \(0.821266\pi\)
\(444\) −1.74285 2.44750i −0.0827122 0.116153i
\(445\) −12.4704 36.0310i −0.591155 1.70803i
\(446\) 0.583615 0.233644i 0.0276350 0.0110634i
\(447\) −7.88610 17.2681i −0.373000 0.816755i
\(448\) 0.674070 + 12.4719i 0.0318468 + 0.589244i
\(449\) 26.2878 + 7.71880i 1.24060 + 0.364273i 0.835240 0.549885i \(-0.185329\pi\)
0.405358 + 0.914158i \(0.367147\pi\)
\(450\) 2.86738 4.02668i 0.135170 0.189819i
\(451\) 0.554136 + 0.435777i 0.0260932 + 0.0205199i
\(452\) 5.42841 + 15.6844i 0.255331 + 0.737731i
\(453\) 2.26907 0.216670i 0.106610 0.0101801i
\(454\) −0.230788 0.148318i −0.0108314 0.00696093i
\(455\) 49.5716 + 31.4117i 2.32395 + 1.47260i
\(456\) 10.3822 6.67222i 0.486190 0.312455i
\(457\) −10.3007 + 29.7618i −0.481845 + 1.39220i 0.398196 + 0.917300i \(0.369636\pi\)
−0.880041 + 0.474898i \(0.842485\pi\)
\(458\) −0.00719539 + 0.0296598i −0.000336218 + 0.00138591i
\(459\) 0.603355 1.04504i 0.0281622 0.0487784i
\(460\) 34.8484 14.3944i 1.62481 0.671144i
\(461\) −21.5026 −1.00148 −0.500738 0.865599i \(-0.666938\pi\)
−0.500738 + 0.865599i \(0.666938\pi\)
\(462\) 0.163388 0.0166566i 0.00760149 0.000774936i
\(463\) 5.00323 + 5.77403i 0.232520 + 0.268342i 0.860004 0.510287i \(-0.170461\pi\)
−0.627484 + 0.778629i \(0.715915\pi\)
\(464\) 16.1146 + 8.30765i 0.748101 + 0.385673i
\(465\) 8.16350 + 3.26817i 0.378573 + 0.151558i
\(466\) 8.56235 4.41420i 0.396643 0.204484i
\(467\) −0.142973 + 0.0136522i −0.00661599 + 0.000631751i −0.0983635 0.995151i \(-0.531361\pi\)
0.0917475 + 0.995782i \(0.470755\pi\)
\(468\) −6.35557 + 7.33472i −0.293786 + 0.339048i
\(469\) −9.18049 + 27.0844i −0.423915 + 1.25064i
\(470\) −1.24020 2.71567i −0.0572063 0.125264i
\(471\) 1.08627 + 4.47766i 0.0500527 + 0.206320i
\(472\) 2.18854 2.08677i 0.100736 0.0960515i
\(473\) −1.02633 0.0980025i −0.0471906 0.00450616i
\(474\) −4.34291 + 1.73864i −0.199477 + 0.0798584i
\(475\) −71.3290 + 82.3180i −3.27280 + 3.77701i
\(476\) 2.49424 + 5.37047i 0.114323 + 0.246155i
\(477\) 1.25644 + 0.807462i 0.0575282 + 0.0369712i
\(478\) 1.55749 1.22482i 0.0712378 0.0560220i
\(479\) −1.36003 28.5506i −0.0621414 1.30451i −0.787576 0.616218i \(-0.788664\pi\)
0.725435 0.688291i \(-0.241639\pi\)
\(480\) −17.2284 + 3.32050i −0.786366 + 0.151560i
\(481\) 6.13519 + 5.84989i 0.279741 + 0.266732i
\(482\) −0.455979 −0.0207693
\(483\) −2.77758 + 12.3808i −0.126384 + 0.563347i
\(484\) 20.3525 0.925114
\(485\) −4.25117 4.05348i −0.193035 0.184059i
\(486\) −0.374295 + 0.0721395i −0.0169784 + 0.00327232i
\(487\) 1.12976 + 23.7166i 0.0511944 + 1.07470i 0.867612 + 0.497242i \(0.165654\pi\)
−0.816418 + 0.577462i \(0.804043\pi\)
\(488\) 0.164431 0.129310i 0.00744342 0.00585357i
\(489\) 18.6374 + 11.9775i 0.842814 + 0.541643i
\(490\) −10.8923 3.04751i −0.492064 0.137673i
\(491\) −2.73896 + 3.16092i −0.123607 + 0.142651i −0.814180 0.580613i \(-0.802813\pi\)
0.690573 + 0.723263i \(0.257359\pi\)
\(492\) 7.45378 2.98404i 0.336042 0.134531i
\(493\) 6.91536 + 0.660337i 0.311452 + 0.0297401i
\(494\) −12.1250 + 11.5612i −0.545530 + 0.520162i
\(495\) −0.162743 0.670836i −0.00731475 0.0301518i
\(496\) −2.71394 5.94270i −0.121860 0.266835i
\(497\) −30.9037 + 6.16141i −1.38622 + 0.276377i
\(498\) −3.01852 + 3.48355i −0.135263 + 0.156102i
\(499\) −4.98007 + 0.475539i −0.222939 + 0.0212880i −0.205927 0.978567i \(-0.566021\pi\)
−0.0170110 + 0.999855i \(0.505415\pi\)
\(500\) 55.6813 28.7057i 2.49014 1.28376i
\(501\) 11.5929 + 4.64108i 0.517931 + 0.207348i
\(502\) 7.95179 + 4.09943i 0.354906 + 0.182967i
\(503\) −20.7892 23.9920i −0.926946 1.06975i −0.997388 0.0722366i \(-0.976986\pi\)
0.0704417 0.997516i \(-0.477559\pi\)
\(504\) 1.59229 3.54648i 0.0709264 0.157973i
\(505\) 5.71860 0.254474
\(506\) −0.0942922 + 0.282373i −0.00419180 + 0.0125530i
\(507\) 7.19098 12.4551i 0.319363 0.553152i
\(508\) −7.43589 + 30.6512i −0.329914 + 1.35993i
\(509\) −8.45357 + 24.4250i −0.374698 + 1.08262i 0.587255 + 0.809402i \(0.300209\pi\)
−0.961953 + 0.273216i \(0.911913\pi\)
\(510\) −1.64028 + 1.05414i −0.0726327 + 0.0466782i
\(511\) 1.06541 25.8415i 0.0471311 1.14316i
\(512\) 18.7518 + 12.0511i 0.828722 + 0.532587i
\(513\) 8.36114 0.798392i 0.369153 0.0352499i
\(514\) 1.88501 + 5.44637i 0.0831441 + 0.240229i
\(515\) −20.7137 16.2894i −0.912753 0.717797i
\(516\) −6.81114 + 9.56491i −0.299844 + 0.421072i
\(517\) −0.288700 0.0847700i −0.0126970 0.00372818i
\(518\) −1.45694 0.739352i −0.0640144 0.0324853i
\(519\) −3.81193 8.34697i −0.167325 0.366391i
\(520\) 30.2573 12.1132i 1.32687 0.531199i
\(521\) 3.53567 + 10.2157i 0.154901 + 0.447556i 0.995573 0.0939874i \(-0.0299614\pi\)
−0.840673 + 0.541544i \(0.817840\pi\)
\(522\) −1.27288 1.78751i −0.0557125 0.0782373i
\(523\) 0.726665 15.2546i 0.0317749 0.667036i −0.925655 0.378369i \(-0.876485\pi\)
0.957430 0.288667i \(-0.0932120\pi\)
\(524\) −3.06298 21.3035i −0.133807 0.930649i
\(525\) −4.66566 + 33.9920i −0.203626 + 1.48353i
\(526\) −6.33698 7.31326i −0.276305 0.318873i
\(527\) −1.81170 1.72745i −0.0789188 0.0752489i
\(528\) −0.256428 + 0.444147i −0.0111596 + 0.0193290i
\(529\) −18.3852 13.8197i −0.799358 0.600855i
\(530\) −1.20662 2.08993i −0.0524122 0.0907807i
\(531\) 1.97466 0.579814i 0.0856931 0.0251618i
\(532\) −20.3790 + 35.8246i −0.883542 + 1.55319i
\(533\) −19.0565 + 12.2468i −0.825427 + 0.530469i
\(534\) 2.69512 2.11946i 0.116629 0.0917181i
\(535\) 54.4821 28.0875i 2.35547 1.21433i
\(536\) 9.21260 + 12.9373i 0.397924 + 0.558806i
\(537\) −4.79294 0.923763i −0.206830 0.0398633i
\(538\) −0.118593 + 0.824833i −0.00511291 + 0.0355611i
\(539\) −0.951013 + 0.628508i −0.0409630 + 0.0270718i
\(540\) −7.54341 2.21495i −0.324617 0.0953161i
\(541\) −4.23970 17.4763i −0.182279 0.751364i −0.987399 0.158252i \(-0.949414\pi\)
0.805120 0.593112i \(-0.202101\pi\)
\(542\) 1.04781 + 0.100054i 0.0450073 + 0.00429768i
\(543\) −4.28456 3.36942i −0.183868 0.144596i
\(544\) 4.90451 + 0.945266i 0.210279 + 0.0405280i
\(545\) −19.1572 + 41.9485i −0.820605 + 1.79687i
\(546\) −1.21136 + 5.13644i −0.0518415 + 0.219819i
\(547\) 3.27268 + 22.7620i 0.139930 + 0.973233i 0.931911 + 0.362687i \(0.118141\pi\)
−0.791981 + 0.610546i \(0.790950\pi\)
\(548\) −0.516857 0.266458i −0.0220790 0.0113825i
\(549\) 0.139793 0.0269429i 0.00596622 0.00114990i
\(550\) −0.189786 + 0.782310i −0.00809252 + 0.0333578i
\(551\) 24.1763 + 41.8745i 1.02994 + 1.78392i
\(552\) 4.67249 + 5.27490i 0.198874 + 0.224515i
\(553\) 21.1056 24.6743i 0.897503 1.04926i
\(554\) 3.19937 0.939421i 0.135928 0.0399122i
\(555\) −2.24599 + 6.48936i −0.0953369 + 0.275458i
\(556\) −1.01358 21.2777i −0.0429855 0.902376i
\(557\) −6.78795 2.71748i −0.287614 0.115143i 0.223369 0.974734i \(-0.428294\pi\)
−0.510984 + 0.859590i \(0.670719\pi\)
\(558\) −0.0376253 + 0.789852i −0.00159281 + 0.0334371i
\(559\) 13.7623 30.1352i 0.582082 1.27458i
\(560\) 27.6229 22.0102i 1.16728 0.930103i
\(561\) −0.0279663 + 0.194510i −0.00118074 + 0.00821221i
\(562\) 1.93177 2.71280i 0.0814870 0.114432i
\(563\) 0.0420775 0.0401208i 0.00177335 0.00169089i −0.689192 0.724579i \(-0.742034\pi\)
0.690965 + 0.722888i \(0.257186\pi\)
\(564\) −2.48014 + 2.36481i −0.104433 + 0.0995763i
\(565\) 22.0031 30.8991i 0.925679 1.29993i
\(566\) 1.32980 9.24896i 0.0558957 0.388763i
\(567\) 2.06920 1.64876i 0.0868982 0.0692414i
\(568\) −7.26998 + 15.9190i −0.305041 + 0.667948i
\(569\) 0.880288 18.4795i 0.0369036 0.774702i −0.902252 0.431209i \(-0.858087\pi\)
0.939155 0.343492i \(-0.111610\pi\)
\(570\) −12.5992 5.04397i −0.527723 0.211268i
\(571\) 0.403639 + 8.47343i 0.0168918 + 0.354602i 0.991452 + 0.130475i \(0.0416501\pi\)
−0.974560 + 0.224127i \(0.928047\pi\)
\(572\) 0.516922 1.49355i 0.0216136 0.0624484i
\(573\) −10.3087 + 3.02691i −0.430653 + 0.126451i
\(574\) 2.83785 3.31769i 0.118450 0.138478i
\(575\) −52.6843 33.0513i −2.19709 1.37833i
\(576\) 2.36041 + 4.08836i 0.0983506 + 0.170348i
\(577\) 3.74596 15.4410i 0.155946 0.642819i −0.839149 0.543901i \(-0.816947\pi\)
0.995096 0.0989180i \(-0.0315381\pi\)
\(578\) −5.81799 + 1.12133i −0.241997 + 0.0466410i
\(579\) −17.7126 9.13146i −0.736109 0.379491i
\(580\) −6.44109 44.7988i −0.267452 1.86017i
\(581\) 7.34374 31.1391i 0.304670 1.29187i
\(582\) 0.219428 0.480481i 0.00909560 0.0199166i
\(583\) −0.238822 0.0460292i −0.00989101 0.00190634i
\(584\) −11.2905 8.87898i −0.467206 0.367415i
\(585\) 22.0808 + 2.10846i 0.912927 + 0.0871740i
\(586\) −0.296721 1.22310i −0.0122574 0.0505258i
\(587\) −18.8016 5.52066i −0.776027 0.227862i −0.130345 0.991469i \(-0.541609\pi\)
−0.645682 + 0.763607i \(0.723427\pi\)
\(588\) 0.783546 + 12.9592i 0.0323129 + 0.534429i
\(589\) 2.47965 17.2463i 0.102172 0.710623i
\(590\) −3.26527 0.629328i −0.134429 0.0259090i
\(591\) 8.56643 + 12.0299i 0.352376 + 0.494842i
\(592\) 4.53475 2.33783i 0.186377 0.0960840i
\(593\) 34.5015 27.1323i 1.41681 1.11419i 0.440511 0.897747i \(-0.354797\pi\)
0.976296 0.216441i \(-0.0694450\pi\)
\(594\) 0.0522207 0.0335602i 0.00214264 0.00137699i
\(595\) 6.69158 11.7632i 0.274328 0.482246i
\(596\) 33.7828 9.91952i 1.38380 0.406319i
\(597\) 5.85971 + 10.1493i 0.239822 + 0.415384i
\(598\) −7.58348 5.83089i −0.310112 0.238443i
\(599\) −5.19892 + 9.00479i −0.212422 + 0.367926i −0.952472 0.304626i \(-0.901469\pi\)
0.740050 + 0.672552i \(0.234802\pi\)
\(600\) 13.7907 + 13.1494i 0.563001 + 0.536820i
\(601\) 11.0771 + 12.7837i 0.451846 + 0.521458i 0.935273 0.353927i \(-0.115154\pi\)
−0.483427 + 0.875384i \(0.660608\pi\)
\(602\) −0.868245 + 6.32567i −0.0353870 + 0.257815i
\(603\) 1.53828 + 10.6990i 0.0626438 + 0.435697i
\(604\) −0.201157 + 4.22280i −0.00818495 + 0.171823i
\(605\) −26.9816 37.8904i −1.09696 1.54046i
\(606\) 0.168194 + 0.485964i 0.00683240 + 0.0197409i
\(607\) −14.5564 + 5.82749i −0.590825 + 0.236531i −0.647756 0.761848i \(-0.724293\pi\)
0.0569316 + 0.998378i \(0.481868\pi\)
\(608\) 14.4421 + 31.6238i 0.585705 + 1.28252i
\(609\) 13.5823 + 6.89260i 0.550383 + 0.279302i
\(610\) −0.220716 0.0648082i −0.00893655 0.00262401i
\(611\) 5.60824 7.87567i 0.226885 0.318615i
\(612\) 1.75925 + 1.38349i 0.0711136 + 0.0559243i
\(613\) −4.34355 12.5499i −0.175435 0.506885i 0.822664 0.568528i \(-0.192487\pi\)
−0.998098 + 0.0616436i \(0.980366\pi\)
\(614\) 3.77201 0.360183i 0.152226 0.0145358i
\(615\) −15.4370 9.92075i −0.622479 0.400043i
\(616\) −0.0260787 + 0.632538i −0.00105074 + 0.0254857i
\(617\) 29.1450 18.7303i 1.17333 0.754054i 0.199183 0.979962i \(-0.436171\pi\)
0.974149 + 0.225908i \(0.0725349\pi\)
\(618\) 0.775042 2.23934i 0.0311767 0.0900793i
\(619\) −3.03851 + 12.5249i −0.122128 + 0.503418i 0.877584 + 0.479423i \(0.159154\pi\)
−0.999712 + 0.0239954i \(0.992361\pi\)
\(620\) −8.15454 + 14.1241i −0.327494 + 0.567237i
\(621\) 1.18146 + 4.64803i 0.0474103 + 0.186519i
\(622\) 5.00194 0.200560
\(623\) −9.74741 + 21.7102i −0.390522 + 0.869800i
\(624\) −10.7919 12.4545i −0.432020 0.498578i
\(625\) −69.6259 35.8947i −2.78504 1.43579i
\(626\) 5.57655 + 2.23251i 0.222884 + 0.0892291i
\(627\) −1.21574 + 0.626755i −0.0485518 + 0.0250302i
\(628\) −8.50691 + 0.812312i −0.339463 + 0.0324148i
\(629\) 1.28017 1.47740i 0.0510439 0.0589078i
\(630\) −4.19249 + 0.835875i −0.167033 + 0.0333021i
\(631\) 12.3254 + 26.9889i 0.490667 + 1.07441i 0.979391 + 0.201973i \(0.0647352\pi\)
−0.488724 + 0.872438i \(0.662537\pi\)
\(632\) −4.25128 17.5240i −0.169107 0.697068i
\(633\) 0.658251 0.627641i 0.0261631 0.0249465i
\(634\) −7.27600 0.694774i −0.288967 0.0275930i
\(635\) 66.9213 26.7912i 2.65569 1.06318i
\(636\) −1.81399 + 2.09346i −0.0719295 + 0.0830111i
\(637\) −9.09025 35.4836i −0.360169 1.40591i
\(638\) 0.300626 + 0.193200i 0.0119019 + 0.00764887i
\(639\) −9.36220 + 7.36251i −0.370363 + 0.291256i
\(640\) −2.03265 42.6705i −0.0803474 1.68670i
\(641\) 29.2044 5.62869i 1.15350 0.222320i 0.423588 0.905855i \(-0.360771\pi\)
0.729917 + 0.683535i \(0.239558\pi\)
\(642\) 3.98927 + 3.80376i 0.157444 + 0.150122i
\(643\) 5.62203 0.221711 0.110856 0.993837i \(-0.464641\pi\)
0.110856 + 0.993837i \(0.464641\pi\)
\(644\) −21.9958 8.36707i −0.866758 0.329709i
\(645\) 26.8367 1.05669
\(646\) 2.79610 + 2.66608i 0.110011 + 0.104895i
\(647\) −31.9351 + 6.15498i −1.25550 + 0.241977i −0.773274 0.634072i \(-0.781382\pi\)
−0.482222 + 0.876049i \(0.660170\pi\)
\(648\) −0.0699144 1.46768i −0.00274650 0.0576561i
\(649\) −0.263442 + 0.207173i −0.0103410 + 0.00813225i
\(650\) −21.7608 13.9848i −0.853528 0.548529i
\(651\) −2.31188 4.97782i −0.0906096 0.195096i
\(652\) −26.9080 + 31.0535i −1.05380 + 1.21615i
\(653\) 26.0257 10.4191i 1.01847 0.407732i 0.198473 0.980106i \(-0.436402\pi\)
0.819993 + 0.572374i \(0.193977\pi\)
\(654\) −4.12820 0.394196i −0.161426 0.0154143i
\(655\) −35.6002 + 33.9448i −1.39102 + 1.32633i
\(656\) 3.21415 + 13.2489i 0.125491 + 0.517283i
\(657\) −4.06088 8.89208i −0.158430 0.346913i
\(658\) −0.598187 + 1.76478i −0.0233198 + 0.0687983i
\(659\) 8.24077 9.51036i 0.321015 0.370471i −0.572190 0.820121i \(-0.693906\pi\)
0.893205 + 0.449650i \(0.148451\pi\)
\(660\) 1.27449 0.121699i 0.0496095 0.00473713i
\(661\) −28.4193 + 14.6512i −1.10538 + 0.569865i −0.911558 0.411171i \(-0.865120\pi\)
−0.193825 + 0.981036i \(0.562090\pi\)
\(662\) 7.17920 + 2.87412i 0.279028 + 0.111706i
\(663\) −5.61250 2.89345i −0.217972 0.112372i
\(664\) −11.6355 13.4280i −0.451544 0.521109i
\(665\) 93.7115 9.55344i 3.63398 0.370467i
\(666\) −0.617521 −0.0239284
\(667\) −21.5144 + 17.3024i −0.833041 + 0.669953i
\(668\) −11.5801 + 20.0574i −0.448049 + 0.776044i
\(669\) −0.388812 + 1.60271i −0.0150323 + 0.0619642i
\(670\) 5.71231 16.5046i 0.220686 0.637630i
\(671\) −0.0195036 + 0.0125342i −0.000752927 + 0.000483877i
\(672\) 9.25040 + 5.86163i 0.356842 + 0.226117i
\(673\) 4.80900 + 3.09056i 0.185374 + 0.119132i 0.630036 0.776566i \(-0.283040\pi\)
−0.444663 + 0.895698i \(0.646676\pi\)
\(674\) 5.50588 0.525748i 0.212078 0.0202510i
\(675\) 4.24149 + 12.2550i 0.163255 + 0.471695i
\(676\) 20.9673 + 16.4889i 0.806436 + 0.634188i
\(677\) −12.4233 + 17.4461i −0.477466 + 0.670507i −0.981120 0.193398i \(-0.938049\pi\)
0.503654 + 0.863905i \(0.331989\pi\)
\(678\) 3.27294 + 0.961021i 0.125696 + 0.0369078i
\(679\) 0.197862 + 3.66093i 0.00759326 + 0.140494i
\(680\) −3.12221 6.83670i −0.119731 0.262175i
\(681\) 0.668147 0.267486i 0.0256034 0.0102501i
\(682\) −0.0421170 0.121689i −0.00161274 0.00465972i
\(683\) −29.0455 40.7887i −1.11140 1.56074i −0.789277 0.614037i \(-0.789544\pi\)
−0.322119 0.946699i \(-0.604395\pi\)
\(684\) −0.741228 + 15.5603i −0.0283415 + 0.594962i
\(685\) 0.189138 + 1.31548i 0.00722658 + 0.0502620i
\(686\) 3.64644 + 6.04498i 0.139222 + 0.230798i
\(687\) −0.0524325 0.0605103i −0.00200042 0.00230861i
\(688\) −14.4301 13.7591i −0.550143 0.524560i
\(689\) 3.90765 6.76825i 0.148870 0.257850i
\(690\) 1.74462 7.55015i 0.0664166 0.287429i
\(691\) −14.7278 25.5094i −0.560273 0.970422i −0.997472 0.0710568i \(-0.977363\pi\)
0.437199 0.899365i \(-0.355971\pi\)
\(692\) 16.3297 4.79483i 0.620762 0.182272i
\(693\) −0.213037 + 0.374501i −0.00809260 + 0.0142261i
\(694\) 10.4167 6.69442i 0.395413 0.254117i
\(695\) −38.2691 + 30.0952i −1.45163 + 1.14157i
\(696\) 7.51847 3.87604i 0.284987 0.146921i
\(697\) 3.03010 + 4.25517i 0.114773 + 0.161176i
\(698\) −2.15127 0.414624i −0.0814268 0.0156937i
\(699\) −3.59656 + 25.0146i −0.136034 + 0.946139i
\(700\) −61.1717 17.5375i −2.31207 0.662857i
\(701\) −16.7696 4.92400i −0.633379 0.185977i −0.0507454 0.998712i \(-0.516160\pi\)
−0.582634 + 0.812735i \(0.697978\pi\)
\(702\) 0.470257 + 1.93842i 0.0177487 + 0.0731611i
\(703\) 13.5451 + 1.29340i 0.510863 + 0.0487815i
\(704\) −0.604299 0.475226i −0.0227754 0.0179107i
\(705\) 7.69053 + 1.48223i 0.289642 + 0.0558239i
\(706\) −3.31482 + 7.25845i −0.124755 + 0.273175i
\(707\) −2.59894 2.44655i −0.0977432 0.0920119i
\(708\) 0.543219 + 3.77817i 0.0204154 + 0.141992i
\(709\) −34.9109 17.9978i −1.31111 0.675922i −0.346112 0.938193i \(-0.612498\pi\)
−0.964994 + 0.262271i \(0.915529\pi\)
\(710\) 18.8970 3.64210i 0.709192 0.136686i
\(711\) 2.89331 11.9264i 0.108508 0.447274i
\(712\) 6.60824 + 11.4458i 0.247654 + 0.428950i
\(713\) 9.94813 0.108580i 0.372561 0.00406634i
\(714\) 1.19644 + 0.222670i 0.0447758 + 0.00833323i
\(715\) −3.46584 + 1.01766i −0.129615 + 0.0380584i
\(716\) 2.96096 8.55514i 0.110656 0.319721i
\(717\) 0.247332 + 5.19214i 0.00923678 + 0.193904i
\(718\) −0.555039 0.222204i −0.0207139 0.00829258i
\(719\) −0.148090 + 3.10878i −0.00552281 + 0.115938i 0.994422 + 0.105471i \(0.0336349\pi\)
−0.999945 + 0.0104673i \(0.996668\pi\)
\(720\) 5.54561 12.1432i 0.206673 0.452550i
\(721\) 2.44479 + 16.2648i 0.0910486 + 0.605735i
\(722\) −2.79628 + 19.4485i −0.104067 + 0.723799i
\(723\) 0.693875 0.974411i 0.0258055 0.0362387i
\(724\) 7.31656 6.97633i 0.271918 0.259273i
\(725\) −54.0310 + 51.5184i −2.00666 + 1.91335i
\(726\) 2.42633 3.40730i 0.0900495 0.126457i
\(727\) −5.05459 + 35.1554i −0.187464 + 1.30384i 0.651080 + 0.759009i \(0.274316\pi\)
−0.838544 + 0.544833i \(0.816593\pi\)
\(728\) −18.9334 7.43966i −0.701717 0.275732i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) −0.751566 + 15.7773i −0.0278167 + 0.583944i
\(731\) −7.09249 2.83941i −0.262325 0.105019i
\(732\) 0.0125638 + 0.263747i 0.000464371 + 0.00974836i
\(733\) 0.466393 1.34756i 0.0172266 0.0497731i −0.936060 0.351841i \(-0.885556\pi\)
0.953286 + 0.302068i \(0.0976770\pi\)
\(734\) 3.10385 0.911374i 0.114565 0.0336394i
\(735\) 23.0875 18.6390i 0.851595 0.687508i
\(736\) −16.5814 + 10.9137i −0.611197 + 0.402285i
\(737\) −0.880112 1.52440i −0.0324193 0.0561520i
\(738\) 0.389032 1.60361i 0.0143205 0.0590298i
\(739\) −12.0038 + 2.31354i −0.441567 + 0.0851051i −0.405189 0.914233i \(-0.632794\pi\)
−0.0363782 + 0.999338i \(0.511582\pi\)
\(740\) −11.3205 5.83611i −0.416149 0.214540i
\(741\) −6.25488 43.5036i −0.229779 1.59815i
\(742\) −0.345744 + 1.46603i −0.0126927 + 0.0538197i
\(743\) −17.1633 + 37.5824i −0.629660 + 1.37876i 0.278620 + 0.960401i \(0.410123\pi\)
−0.908280 + 0.418362i \(0.862604\pi\)
\(744\) −2.99301 0.576856i −0.109729 0.0211486i
\(745\) −63.2535 49.7431i −2.31743 1.82245i
\(746\) 4.51958 + 0.431568i 0.165474 + 0.0158008i
\(747\) −2.85088 11.7515i −0.104308 0.429964i
\(748\) −0.349703 0.102682i −0.0127864 0.00375443i
\(749\) −36.7770 10.5437i −1.34380 0.385260i
\(750\) 1.83231 12.7440i 0.0669066 0.465345i
\(751\) 31.0234 + 5.97927i 1.13206 + 0.218187i 0.720674 0.693274i \(-0.243833\pi\)
0.411386 + 0.911461i \(0.365045\pi\)
\(752\) −3.37527 4.73991i −0.123084 0.172847i
\(753\) −20.8608 + 10.7545i −0.760209 + 0.391915i
\(754\) −9.02613 + 7.09823i −0.328712 + 0.258502i
\(755\) 8.12829 5.22373i 0.295819 0.190111i
\(756\) 2.48066 + 4.23387i 0.0902207 + 0.153984i
\(757\) −17.3196 + 5.08549i −0.629491 + 0.184835i −0.580889 0.813983i \(-0.697295\pi\)
−0.0486023 + 0.998818i \(0.515477\pi\)
\(758\) 2.99392 + 5.18563i 0.108744 + 0.188351i
\(759\) −0.459935 0.631193i −0.0166946 0.0229109i
\(760\) 26.1568 45.3048i 0.948805 1.64338i
\(761\) −33.5312 31.9720i −1.21551 1.15898i −0.982451 0.186519i \(-0.940279\pi\)
−0.233055 0.972464i \(-0.574872\pi\)
\(762\) 4.24497 + 4.89896i 0.153779 + 0.177471i
\(763\) 26.6529 10.8685i 0.964900 0.393465i
\(764\) −2.83587 19.7239i −0.102598 0.713586i
\(765\) 0.243387 5.10932i 0.00879968 0.184728i
\(766\) −7.86646 11.0469i −0.284227 0.399141i
\(767\) −3.52226 10.1769i −0.127182 0.367467i
\(768\) −5.19900 + 2.08137i −0.187603 + 0.0751048i
\(769\) 5.30892 + 11.6249i 0.191445 + 0.419205i 0.980876 0.194634i \(-0.0623518\pi\)
−0.789431 + 0.613839i \(0.789624\pi\)
\(770\) 0.583240 0.380117i