Properties

Label 177.2.f.a.38.11
Level $177$
Weight $2$
Character 177.38
Analytic conductor $1.413$
Analytic rank $0$
Dimension $504$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(504\)
Relative dimension: \(18\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 38.11
Character \(\chi\) \(=\) 177.38
Dual form 177.2.f.a.14.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.277115 + 0.166734i) q^{2} +(1.51687 - 0.836130i) q^{3} +(-0.887825 - 1.67461i) q^{4} +(0.0154306 - 0.141882i) q^{5} +(0.559758 + 0.0212100i) q^{6} +(-0.858133 - 0.289139i) q^{7} +(0.0682046 - 1.25796i) q^{8} +(1.60177 - 2.53660i) q^{9} +O(q^{10})\) \(q+(0.277115 + 0.166734i) q^{2} +(1.51687 - 0.836130i) q^{3} +(-0.887825 - 1.67461i) q^{4} +(0.0154306 - 0.141882i) q^{5} +(0.559758 + 0.0212100i) q^{6} +(-0.858133 - 0.289139i) q^{7} +(0.0682046 - 1.25796i) q^{8} +(1.60177 - 2.53660i) q^{9} +(0.0279327 - 0.0367448i) q^{10} +(1.74490 + 2.57353i) q^{11} +(-2.74691 - 1.79783i) q^{12} +(-0.152764 - 0.161271i) q^{13} +(-0.189592 - 0.223205i) q^{14} +(-0.0952257 - 0.228118i) q^{15} +(-1.89871 + 2.80039i) q^{16} +(0.541626 + 1.60749i) q^{17} +(0.866813 - 0.435858i) q^{18} +(0.332767 - 2.02979i) q^{19} +(-0.251297 + 0.100126i) q^{20} +(-1.54343 + 0.278926i) q^{21} +(0.0544406 + 1.00410i) q^{22} +(-2.08199 + 7.49865i) q^{23} +(-0.948361 - 1.96519i) q^{24} +(4.86321 + 1.07047i) q^{25} +(-0.0154437 - 0.0701616i) q^{26} +(0.308752 - 5.18697i) q^{27} +(0.277676 + 1.69375i) q^{28} +(1.29490 + 2.15214i) q^{29} +(0.0116467 - 0.0790923i) q^{30} +(3.42768 - 0.561939i) q^{31} +(-3.27982 + 1.51741i) q^{32} +(4.79859 + 2.44474i) q^{33} +(-0.117931 + 0.535767i) q^{34} +(-0.0542651 + 0.117292i) q^{35} +(-5.66992 - 0.430299i) q^{36} +(-4.70214 + 0.254943i) q^{37} +(0.430650 - 0.507000i) q^{38} +(-0.366566 - 0.116896i) q^{39} +(-0.177429 - 0.0290881i) q^{40} +(-7.40832 + 2.05691i) q^{41} +(-0.474214 - 0.180049i) q^{42} +(1.53414 + 1.04017i) q^{43} +(2.76051 - 5.20688i) q^{44} +(-0.335181 - 0.266404i) q^{45} +(-1.82723 + 1.73085i) q^{46} +(-1.35308 + 0.147156i) q^{47} +(-0.538603 + 5.83539i) q^{48} +(-4.91986 - 3.73998i) q^{49} +(1.16918 + 1.10751i) q^{50} +(2.16564 + 1.98548i) q^{51} +(-0.134439 + 0.399001i) q^{52} +(-6.14412 - 8.08245i) q^{53} +(0.950407 - 1.38591i) q^{54} +(0.392063 - 0.207859i) q^{55} +(-0.422253 + 1.05978i) q^{56} +(-1.19240 - 3.35715i) q^{57} +0.812296i q^{58} +(3.93158 + 6.59869i) q^{59} +(-0.297466 + 0.361995i) q^{60} +(-3.68790 + 6.12933i) q^{61} +(1.04355 + 0.415790i) q^{62} +(-2.10796 + 1.71360i) q^{63} +(5.56520 + 0.605252i) q^{64} +(-0.0252387 + 0.0191860i) q^{65} +(0.922136 + 1.47756i) q^{66} +(4.55323 + 0.246869i) q^{67} +(2.21106 - 2.33418i) q^{68} +(3.11174 + 13.1153i) q^{69} +(-0.0345943 + 0.0234555i) q^{70} +(0.00120099 + 0.0110429i) q^{71} +(-3.08169 - 2.18797i) q^{72} +(6.41918 - 5.45250i) q^{73} +(-1.34554 - 0.713361i) q^{74} +(8.27190 - 2.44251i) q^{75} +(-3.69455 + 1.24484i) q^{76} +(-0.753247 - 2.71295i) q^{77} +(-0.0820904 - 0.0935129i) q^{78} +(-4.43599 - 11.1335i) q^{79} +(0.368026 + 0.312604i) q^{80} +(-3.86865 - 8.12610i) q^{81} +(-2.39591 - 0.665222i) q^{82} +(-8.16761 - 3.77874i) q^{83} +(1.83739 + 2.33701i) q^{84} +(0.236431 - 0.0520425i) q^{85} +(0.251700 + 0.544041i) q^{86} +(3.76367 + 2.18181i) q^{87} +(3.35641 - 2.01948i) q^{88} +(15.2583 - 9.18064i) q^{89} +(-0.0484650 - 0.129711i) q^{90} +(0.0844621 + 0.182562i) q^{91} +(14.4058 - 3.17095i) q^{92} +(4.72948 - 3.71837i) q^{93} +(-0.399495 - 0.184826i) q^{94} +(-0.282855 - 0.0785344i) q^{95} +(-3.70631 + 5.04406i) q^{96} +(-2.61486 - 2.22108i) q^{97} +(-0.739783 - 1.85671i) q^{98} +(9.32294 - 0.303889i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} + O(q^{10}) \) \( 504q - 27q^{3} - 70q^{4} - 29q^{6} - 58q^{7} - 19q^{9} - 58q^{10} - 15q^{12} - 58q^{13} - 38q^{15} - 66q^{16} - 29q^{18} - 66q^{19} - 24q^{21} - 62q^{22} - 29q^{24} - 20q^{25} - 54q^{27} - 26q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 13q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} - q^{45} - 46q^{46} + 147q^{48} - 48q^{49} + 59q^{51} - 58q^{52} + 174q^{54} - 58q^{55} + 83q^{57} + 250q^{60} - 58q^{61} + 82q^{63} + 10q^{64} + 226q^{66} - 58q^{67} + 87q^{69} - 58q^{70} + 145q^{72} - 58q^{73} - 28q^{75} - 150q^{76} - 13q^{78} - 30q^{79} + 13q^{81} - 58q^{82} - 69q^{84} - 86q^{85} - 36q^{87} + 22q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 162q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{39}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.277115 + 0.166734i 0.195950 + 0.117899i 0.610147 0.792288i \(-0.291110\pi\)
−0.414198 + 0.910187i \(0.635938\pi\)
\(3\) 1.51687 0.836130i 0.875764 0.482740i
\(4\) −0.887825 1.67461i −0.443912 0.837307i
\(5\) 0.0154306 0.141882i 0.00690077 0.0634516i −0.990181 0.139790i \(-0.955357\pi\)
0.997082 + 0.0763382i \(0.0243229\pi\)
\(6\) 0.559758 + 0.0212100i 0.228520 + 0.00865894i
\(7\) −0.858133 0.289139i −0.324344 0.109284i 0.152420 0.988316i \(-0.451294\pi\)
−0.476763 + 0.879032i \(0.658190\pi\)
\(8\) 0.0682046 1.25796i 0.0241140 0.444756i
\(9\) 1.60177 2.53660i 0.533924 0.845532i
\(10\) 0.0279327 0.0367448i 0.00883309 0.0116197i
\(11\) 1.74490 + 2.57353i 0.526107 + 0.775949i 0.994179 0.107741i \(-0.0343617\pi\)
−0.468072 + 0.883690i \(0.655051\pi\)
\(12\) −2.74691 1.79783i −0.792964 0.518989i
\(13\) −0.152764 0.161271i −0.0423691 0.0447286i 0.704466 0.709737i \(-0.251186\pi\)
−0.746836 + 0.665009i \(0.768428\pi\)
\(14\) −0.189592 0.223205i −0.0506706 0.0596540i
\(15\) −0.0952257 0.228118i −0.0245872 0.0588999i
\(16\) −1.89871 + 2.80039i −0.474678 + 0.700097i
\(17\) 0.541626 + 1.60749i 0.131364 + 0.389873i 0.993069 0.117536i \(-0.0374997\pi\)
−0.861705 + 0.507410i \(0.830603\pi\)
\(18\) 0.866813 0.435858i 0.204310 0.102733i
\(19\) 0.332767 2.02979i 0.0763419 0.465665i −0.920795 0.390047i \(-0.872459\pi\)
0.997137 0.0756181i \(-0.0240930\pi\)
\(20\) −0.251297 + 0.100126i −0.0561918 + 0.0223889i
\(21\) −1.54343 + 0.278926i −0.336804 + 0.0608666i
\(22\) 0.0544406 + 1.00410i 0.0116068 + 0.214075i
\(23\) −2.08199 + 7.49865i −0.434125 + 1.56358i 0.346175 + 0.938170i \(0.387480\pi\)
−0.780299 + 0.625406i \(0.784933\pi\)
\(24\) −0.948361 1.96519i −0.193583 0.401142i
\(25\) 4.86321 + 1.07047i 0.972642 + 0.214095i
\(26\) −0.0154437 0.0701616i −0.00302877 0.0137598i
\(27\) 0.308752 5.18697i 0.0594193 0.998233i
\(28\) 0.277676 + 1.69375i 0.0524757 + 0.320088i
\(29\) 1.29490 + 2.15214i 0.240457 + 0.399643i 0.953461 0.301517i \(-0.0974932\pi\)
−0.713003 + 0.701161i \(0.752666\pi\)
\(30\) 0.0116467 0.0790923i 0.00212639 0.0144402i
\(31\) 3.42768 0.561939i 0.615629 0.100927i 0.154104 0.988055i \(-0.450751\pi\)
0.461525 + 0.887127i \(0.347303\pi\)
\(32\) −3.27982 + 1.51741i −0.579796 + 0.268242i
\(33\) 4.79859 + 2.44474i 0.835327 + 0.425575i
\(34\) −0.117931 + 0.535767i −0.0202250 + 0.0918832i
\(35\) −0.0542651 + 0.117292i −0.00917247 + 0.0198260i
\(36\) −5.66992 0.430299i −0.944986 0.0717166i
\(37\) −4.70214 + 0.254943i −0.773028 + 0.0419124i −0.436432 0.899737i \(-0.643758\pi\)
−0.336595 + 0.941649i \(0.609275\pi\)
\(38\) 0.430650 0.507000i 0.0698607 0.0822463i
\(39\) −0.366566 0.116896i −0.0586976 0.0187184i
\(40\) −0.177429 0.0290881i −0.0280541 0.00459923i
\(41\) −7.40832 + 2.05691i −1.15698 + 0.321235i −0.792439 0.609951i \(-0.791189\pi\)
−0.364545 + 0.931186i \(0.618775\pi\)
\(42\) −0.474214 0.180049i −0.0731728 0.0277821i
\(43\) 1.53414 + 1.04017i 0.233954 + 0.158625i 0.672531 0.740069i \(-0.265207\pi\)
−0.438577 + 0.898693i \(0.644517\pi\)
\(44\) 2.76051 5.20688i 0.416163 0.784966i
\(45\) −0.335181 0.266404i −0.0499659 0.0397132i
\(46\) −1.82723 + 1.73085i −0.269411 + 0.255199i
\(47\) −1.35308 + 0.147156i −0.197367 + 0.0214650i −0.206269 0.978495i \(-0.566132\pi\)
0.00890144 + 0.999960i \(0.497167\pi\)
\(48\) −0.538603 + 5.83539i −0.0777406 + 0.842265i
\(49\) −4.91986 3.73998i −0.702837 0.534283i
\(50\) 1.16918 + 1.10751i 0.165347 + 0.156625i
\(51\) 2.16564 + 1.98548i 0.303251 + 0.278022i
\(52\) −0.134439 + 0.399001i −0.0186434 + 0.0553315i
\(53\) −6.14412 8.08245i −0.843960 1.11021i −0.992613 0.121320i \(-0.961287\pi\)
0.148654 0.988889i \(-0.452506\pi\)
\(54\) 0.950407 1.38591i 0.129334 0.188598i
\(55\) 0.392063 0.207859i 0.0528657 0.0280276i
\(56\) −0.422253 + 1.05978i −0.0564260 + 0.141618i
\(57\) −1.19240 3.35715i −0.157938 0.444666i
\(58\) 0.812296i 0.106660i
\(59\) 3.93158 + 6.59869i 0.511848 + 0.859076i
\(60\) −0.297466 + 0.361995i −0.0384028 + 0.0467334i
\(61\) −3.68790 + 6.12933i −0.472187 + 0.784781i −0.997824 0.0659281i \(-0.978999\pi\)
0.525638 + 0.850709i \(0.323827\pi\)
\(62\) 1.04355 + 0.415790i 0.132532 + 0.0528054i
\(63\) −2.10796 + 1.71360i −0.265578 + 0.215894i
\(64\) 5.56520 + 0.605252i 0.695651 + 0.0756566i
\(65\) −0.0252387 + 0.0191860i −0.00313048 + 0.00237973i
\(66\) 0.922136 + 1.47756i 0.113507 + 0.181876i
\(67\) 4.55323 + 0.246869i 0.556266 + 0.0301599i 0.330129 0.943936i \(-0.392908\pi\)
0.226137 + 0.974096i \(0.427390\pi\)
\(68\) 2.21106 2.33418i 0.268130 0.283061i
\(69\) 3.11174 + 13.1153i 0.374610 + 1.57889i
\(70\) −0.0345943 + 0.0234555i −0.00413481 + 0.00280347i
\(71\) 0.00120099 + 0.0110429i 0.000142531 + 0.00131055i 0.994209 0.107464i \(-0.0342729\pi\)
−0.994066 + 0.108774i \(0.965307\pi\)
\(72\) −3.08169 2.18797i −0.363180 0.257855i
\(73\) 6.41918 5.45250i 0.751309 0.638167i −0.187635 0.982239i \(-0.560082\pi\)
0.938943 + 0.344072i \(0.111806\pi\)
\(74\) −1.34554 0.713361i −0.156416 0.0829265i
\(75\) 8.27190 2.44251i 0.955157 0.282037i
\(76\) −3.69455 + 1.24484i −0.423794 + 0.142793i
\(77\) −0.753247 2.71295i −0.0858404 0.309169i
\(78\) −0.0820904 0.0935129i −0.00929491 0.0105883i
\(79\) −4.43599 11.1335i −0.499088 1.25262i −0.935646 0.352940i \(-0.885182\pi\)
0.436558 0.899676i \(-0.356197\pi\)
\(80\) 0.368026 + 0.312604i 0.0411466 + 0.0349502i
\(81\) −3.86865 8.12610i −0.429850 0.902900i
\(82\) −2.39591 0.665222i −0.264584 0.0734614i
\(83\) −8.16761 3.77874i −0.896512 0.414771i −0.0831556 0.996537i \(-0.526500\pi\)
−0.813356 + 0.581766i \(0.802362\pi\)
\(84\) 1.83739 + 2.33701i 0.200476 + 0.254989i
\(85\) 0.236431 0.0520425i 0.0256446 0.00564480i
\(86\) 0.251700 + 0.544041i 0.0271415 + 0.0586654i
\(87\) 3.76367 + 2.18181i 0.403507 + 0.233915i
\(88\) 3.35641 2.01948i 0.357795 0.215278i
\(89\) 15.2583 9.18064i 1.61738 0.973146i 0.638272 0.769811i \(-0.279650\pi\)
0.979109 0.203335i \(-0.0651779\pi\)
\(90\) −0.0484650 0.129711i −0.00510865 0.0136727i
\(91\) 0.0844621 + 0.182562i 0.00885404 + 0.0191377i
\(92\) 14.4058 3.17095i 1.50191 0.330595i
\(93\) 4.72948 3.71837i 0.490424 0.385577i
\(94\) −0.399495 0.184826i −0.0412048 0.0190633i
\(95\) −0.282855 0.0785344i −0.0290204 0.00805746i
\(96\) −3.70631 + 5.04406i −0.378273 + 0.514808i
\(97\) −2.61486 2.22108i −0.265499 0.225517i 0.504741 0.863271i \(-0.331588\pi\)
−0.770240 + 0.637754i \(0.779864\pi\)
\(98\) −0.739783 1.85671i −0.0747293 0.187557i
\(99\) 9.32294 0.303889i 0.936991 0.0305420i
\(100\) −2.52505 9.09440i −0.252505 0.909440i
\(101\) 7.01322 2.36303i 0.697841 0.235130i 0.0520504 0.998644i \(-0.483424\pi\)
0.645791 + 0.763514i \(0.276528\pi\)
\(102\) 0.269085 + 0.911293i 0.0266434 + 0.0902314i
\(103\) 3.30477 + 1.75208i 0.325629 + 0.172637i 0.623201 0.782062i \(-0.285832\pi\)
−0.297572 + 0.954699i \(0.596177\pi\)
\(104\) −0.213292 + 0.181172i −0.0209150 + 0.0177653i
\(105\) 0.0157585 + 0.223289i 0.00153787 + 0.0217908i
\(106\) −0.355003 3.26420i −0.0344810 0.317047i
\(107\) 6.75605 4.58072i 0.653132 0.442835i −0.189094 0.981959i \(-0.560555\pi\)
0.842226 + 0.539124i \(0.181245\pi\)
\(108\) −8.96030 + 4.08808i −0.862205 + 0.393376i
\(109\) −9.82571 + 10.3729i −0.941132 + 0.993541i −0.999989 0.00472531i \(-0.998496\pi\)
0.0588567 + 0.998266i \(0.481255\pi\)
\(110\) 0.143304 + 0.00776969i 0.0136635 + 0.000740811i
\(111\) −6.91936 + 4.31832i −0.656757 + 0.409877i
\(112\) 2.43904 1.85411i 0.230468 0.175197i
\(113\) −11.4009 1.23992i −1.07251 0.116642i −0.445213 0.895425i \(-0.646872\pi\)
−0.627294 + 0.778782i \(0.715838\pi\)
\(114\) 0.229321 1.12913i 0.0214778 0.105753i
\(115\) 1.03180 + 0.411105i 0.0962156 + 0.0383358i
\(116\) 2.45437 4.07919i 0.227882 0.378743i
\(117\) −0.653773 + 0.129181i −0.0604413 + 0.0119428i
\(118\) −0.0107292 + 2.48412i −0.000987702 + 0.228682i
\(119\) 1.53604i 0.140809i
\(120\) −0.293458 + 0.104231i −0.0267890 + 0.00951498i
\(121\) 0.493121 1.23764i 0.0448292 0.112513i
\(122\) −2.04394 + 1.08363i −0.185050 + 0.0981072i
\(123\) −9.51759 + 9.31437i −0.858172 + 0.839849i
\(124\) −3.98421 5.24114i −0.357792 0.470668i
\(125\) 0.454775 1.34972i 0.0406763 0.120723i
\(126\) −0.869864 + 0.123395i −0.0774936 + 0.0109929i
\(127\) 8.05570 + 7.63076i 0.714828 + 0.677121i 0.956002 0.293361i \(-0.0947739\pi\)
−0.241174 + 0.970482i \(0.577532\pi\)
\(128\) 7.19517 + 5.46963i 0.635969 + 0.483451i
\(129\) 3.19680 + 0.295063i 0.281463 + 0.0259788i
\(130\) −0.0101930 + 0.00110855i −0.000893984 + 9.72266e-5i
\(131\) −7.96000 + 7.54011i −0.695468 + 0.658782i −0.951416 0.307908i \(-0.900371\pi\)
0.255948 + 0.966691i \(0.417612\pi\)
\(132\) −0.166297 10.2063i −0.0144743 0.888343i
\(133\) −0.872447 + 1.64561i −0.0756508 + 0.142693i
\(134\) 1.22061 + 0.827592i 0.105444 + 0.0714930i
\(135\) −0.731174 0.123844i −0.0629294 0.0106588i
\(136\) 2.05910 0.571705i 0.176566 0.0490233i
\(137\) −11.5074 1.88655i −0.983147 0.161179i −0.351292 0.936266i \(-0.614258\pi\)
−0.631854 + 0.775087i \(0.717706\pi\)
\(138\) −1.32446 + 4.15327i −0.112745 + 0.353550i
\(139\) −3.39387 + 3.99558i −0.287865 + 0.338900i −0.887019 0.461733i \(-0.847228\pi\)
0.599154 + 0.800634i \(0.295504\pi\)
\(140\) 0.244597 0.0132617i 0.0206722 0.00112081i
\(141\) −1.92940 + 1.35457i −0.162485 + 0.114075i
\(142\) −0.00150842 + 0.00326040i −0.000126584 + 0.000273607i
\(143\) 0.148479 0.674545i 0.0124164 0.0564083i
\(144\) 4.06215 + 9.30185i 0.338513 + 0.775154i
\(145\) 0.325332 0.150514i 0.0270173 0.0124995i
\(146\) 2.68797 0.440670i 0.222458 0.0364701i
\(147\) −10.5899 1.55941i −0.873439 0.128618i
\(148\) 4.60161 + 7.64794i 0.378250 + 0.628657i
\(149\) −2.31259 14.1062i −0.189455 1.15562i −0.894702 0.446663i \(-0.852612\pi\)
0.705247 0.708961i \(-0.250836\pi\)
\(150\) 2.69952 + 0.702355i 0.220415 + 0.0573470i
\(151\) 4.87446 + 22.1449i 0.396678 + 1.80213i 0.575000 + 0.818153i \(0.305002\pi\)
−0.178322 + 0.983972i \(0.557067\pi\)
\(152\) −2.53069 0.557048i −0.205266 0.0451826i
\(153\) 4.94511 + 1.20094i 0.399789 + 0.0970906i
\(154\) 0.243606 0.877391i 0.0196304 0.0707021i
\(155\) −0.0268379 0.494997i −0.00215568 0.0397591i
\(156\) 0.129691 + 0.717641i 0.0103836 + 0.0574573i
\(157\) 3.22115 1.28343i 0.257076 0.102428i −0.238040 0.971255i \(-0.576505\pi\)
0.495116 + 0.868827i \(0.335126\pi\)
\(158\) 0.627059 3.82489i 0.0498861 0.304292i
\(159\) −16.0778 7.12272i −1.27505 0.564868i
\(160\) 0.164683 + 0.488762i 0.0130194 + 0.0386401i
\(161\) 3.95477 5.83285i 0.311680 0.459693i
\(162\) 0.282842 2.89690i 0.0222222 0.227602i
\(163\) 2.42841 + 2.85895i 0.190208 + 0.223930i 0.848997 0.528398i \(-0.177207\pi\)
−0.658789 + 0.752328i \(0.728931\pi\)
\(164\) 10.0218 + 10.5799i 0.782572 + 0.826151i
\(165\) 0.420910 0.643109i 0.0327678 0.0500660i
\(166\) −1.63332 2.40897i −0.126770 0.186972i
\(167\) −15.5960 + 20.5162i −1.20685 + 1.58759i −0.542973 + 0.839750i \(0.682701\pi\)
−0.663881 + 0.747838i \(0.731092\pi\)
\(168\) 0.245608 + 1.96060i 0.0189491 + 0.151263i
\(169\) 0.701134 12.9317i 0.0539334 0.994743i
\(170\) 0.0741959 + 0.0249995i 0.00569057 + 0.00191737i
\(171\) −4.61573 4.09535i −0.352974 0.313179i
\(172\) 0.379841 3.49258i 0.0289626 0.266307i
\(173\) −9.21716 17.3854i −0.700768 1.32179i −0.936739 0.350028i \(-0.886172\pi\)
0.235972 0.971760i \(-0.424173\pi\)
\(174\) 0.679185 + 1.23215i 0.0514889 + 0.0934087i
\(175\) −3.86376 2.32475i −0.292073 0.175735i
\(176\) −10.5199 −0.792971
\(177\) 11.4810 + 6.72202i 0.862968 + 0.505258i
\(178\) 5.75904 0.431658
\(179\) 9.56452 + 5.75478i 0.714886 + 0.430132i 0.825996 0.563676i \(-0.190613\pi\)
−0.111111 + 0.993808i \(0.535441\pi\)
\(180\) −0.148542 + 0.797819i −0.0110717 + 0.0594659i
\(181\) −8.55072 16.1284i −0.635570 1.19881i −0.966866 0.255285i \(-0.917831\pi\)
0.331296 0.943527i \(-0.392514\pi\)
\(182\) −0.00703365 + 0.0646734i −0.000521369 + 0.00479391i
\(183\) −0.469131 + 12.3809i −0.0346791 + 0.915226i
\(184\) 9.29100 + 3.13050i 0.684941 + 0.230784i
\(185\) −0.0363851 + 0.671084i −0.00267509 + 0.0493391i
\(186\) 1.93059 0.241849i 0.141558 0.0177332i
\(187\) −3.19184 + 4.19879i −0.233411 + 0.307046i
\(188\) 1.44773 + 2.13524i 0.105586 + 0.155728i
\(189\) −1.76470 + 4.36184i −0.128363 + 0.317277i
\(190\) −0.0652891 0.0689248i −0.00473657 0.00500033i
\(191\) −4.95313 5.83127i −0.358396 0.421936i 0.553184 0.833059i \(-0.313413\pi\)
−0.911580 + 0.411123i \(0.865137\pi\)
\(192\) 8.94775 3.73515i 0.645748 0.269561i
\(193\) −11.8115 + 17.4207i −0.850210 + 1.25397i 0.115229 + 0.993339i \(0.463240\pi\)
−0.965439 + 0.260628i \(0.916071\pi\)
\(194\) −0.354285 1.05148i −0.0254362 0.0754920i
\(195\) −0.0222418 + 0.0502054i −0.00159277 + 0.00359528i
\(196\) −1.89505 + 11.5593i −0.135361 + 0.825666i
\(197\) −16.2729 + 6.48373i −1.15940 + 0.461947i −0.868929 0.494937i \(-0.835191\pi\)
−0.290470 + 0.956884i \(0.593812\pi\)
\(198\) 2.63419 + 1.47024i 0.187204 + 0.104486i
\(199\) −0.181169 3.34147i −0.0128428 0.236871i −0.997906 0.0646786i \(-0.979398\pi\)
0.985063 0.172192i \(-0.0550850\pi\)
\(200\) 1.67831 6.04471i 0.118674 0.427426i
\(201\) 7.11306 3.43263i 0.501717 0.242119i
\(202\) 2.33746 + 0.514515i 0.164463 + 0.0362011i
\(203\) −0.488930 2.22123i −0.0343162 0.155900i
\(204\) 1.40220 5.38937i 0.0981734 0.377332i
\(205\) 0.177524 + 1.08285i 0.0123988 + 0.0756293i
\(206\) 0.623669 + 1.03655i 0.0434531 + 0.0722196i
\(207\) 15.6862 + 17.2923i 1.09026 + 1.20190i
\(208\) 0.741676 0.121592i 0.0514260 0.00843086i
\(209\) 5.80437 2.68539i 0.401496 0.185752i
\(210\) −0.0328631 + 0.0645042i −0.00226777 + 0.00445121i
\(211\) 1.74142 7.91134i 0.119884 0.544639i −0.877944 0.478764i \(-0.841085\pi\)
0.997828 0.0658754i \(-0.0209840\pi\)
\(212\) −8.08009 + 17.4648i −0.554943 + 1.19949i
\(213\) 0.0110550 + 0.0157464i 0.000757479 + 0.00107893i
\(214\) 2.63597 0.142918i 0.180191 0.00976967i
\(215\) 0.171254 0.201616i 0.0116794 0.0137501i
\(216\) −6.50394 0.742173i −0.442537 0.0504984i
\(217\) −3.10388 0.508855i −0.210705 0.0345433i
\(218\) −4.45236 + 1.23619i −0.301552 + 0.0837256i
\(219\) 5.17805 13.6380i 0.349900 0.921570i
\(220\) −0.696166 0.472012i −0.0469355 0.0318231i
\(221\) 0.176500 0.332915i 0.0118727 0.0223943i
\(222\) −2.63747 + 0.0429739i −0.177015 + 0.00288422i
\(223\) −13.9077 + 13.1741i −0.931330 + 0.882203i −0.993264 0.115877i \(-0.963032\pi\)
0.0619332 + 0.998080i \(0.480273\pi\)
\(224\) 3.25326 0.353814i 0.217368 0.0236402i
\(225\) 10.5051 10.6213i 0.700341 0.708090i
\(226\) −2.95262 2.24453i −0.196406 0.149304i
\(227\) 13.0991 + 12.4081i 0.869416 + 0.823555i 0.985498 0.169685i \(-0.0542750\pi\)
−0.116082 + 0.993240i \(0.537034\pi\)
\(228\) −4.56329 + 4.97738i −0.302212 + 0.329635i
\(229\) 8.19093 24.3098i 0.541272 1.60644i −0.232241 0.972658i \(-0.574606\pi\)
0.773513 0.633780i \(-0.218497\pi\)
\(230\) 0.217381 + 0.285960i 0.0143337 + 0.0188556i
\(231\) −3.41095 3.48537i −0.224424 0.229321i
\(232\) 2.79563 1.48215i 0.183542 0.0973078i
\(233\) −2.68119 + 6.72927i −0.175650 + 0.440849i −0.990272 0.139143i \(-0.955565\pi\)
0.814622 + 0.579992i \(0.196944\pi\)
\(234\) −0.202709 0.0732085i −0.0132515 0.00478579i
\(235\) 0.194249i 0.0126714i
\(236\) 7.55971 12.4424i 0.492095 0.809929i
\(237\) −16.0379 13.1790i −1.04177 0.856067i
\(238\) 0.256111 0.425660i 0.0166012 0.0275915i
\(239\) −6.35846 2.53344i −0.411295 0.163875i 0.155308 0.987866i \(-0.450363\pi\)
−0.566602 + 0.823991i \(0.691742\pi\)
\(240\) 0.819625 + 0.166462i 0.0529066 + 0.0107450i
\(241\) 8.06104 + 0.876691i 0.519257 + 0.0564726i 0.363995 0.931401i \(-0.381412\pi\)
0.155262 + 0.987873i \(0.450378\pi\)
\(242\) 0.343009 0.260748i 0.0220494 0.0167615i
\(243\) −12.6627 9.09153i −0.812313 0.583222i
\(244\) 13.5385 + 0.734035i 0.866712 + 0.0469918i
\(245\) −0.606553 + 0.640330i −0.0387512 + 0.0409092i
\(246\) −4.19049 + 0.994241i −0.267176 + 0.0633905i
\(247\) −0.378181 + 0.256413i −0.0240631 + 0.0163152i
\(248\) −0.473113 4.35021i −0.0300427 0.276238i
\(249\) −15.5487 + 1.09734i −0.985359 + 0.0695411i
\(250\) 0.351070 0.298202i 0.0222036 0.0188599i
\(251\) 18.8980 + 10.0191i 1.19283 + 0.632398i 0.941993 0.335632i \(-0.108950\pi\)
0.250835 + 0.968030i \(0.419295\pi\)
\(252\) 4.74112 + 2.00865i 0.298663 + 0.126533i
\(253\) −22.9309 + 7.72631i −1.44165 + 0.485749i
\(254\) 0.960042 + 3.45776i 0.0602384 + 0.216959i
\(255\) 0.315121 0.276629i 0.0197336 0.0173232i
\(256\) −3.06217 7.68546i −0.191386 0.480341i
\(257\) 10.3085 + 8.75615i 0.643029 + 0.546194i 0.908479 0.417931i \(-0.137245\pi\)
−0.265450 + 0.964125i \(0.585520\pi\)
\(258\) 0.836684 + 0.614783i 0.0520897 + 0.0382747i
\(259\) 4.10878 + 1.14080i 0.255307 + 0.0708856i
\(260\) 0.0545367 + 0.0252313i 0.00338222 + 0.00156478i
\(261\) 7.53326 + 0.162601i 0.466297 + 0.0100648i
\(262\) −3.46303 + 0.762270i −0.213947 + 0.0470932i
\(263\) −3.98600 8.61560i −0.245787 0.531260i 0.744939 0.667132i \(-0.232478\pi\)
−0.990726 + 0.135872i \(0.956616\pi\)
\(264\) 3.40268 5.86969i 0.209420 0.361254i
\(265\) −1.24156 + 0.747023i −0.0762685 + 0.0458893i
\(266\) −0.516148 + 0.310556i −0.0316471 + 0.0190414i
\(267\) 15.4687 26.6838i 0.946667 1.63302i
\(268\) −3.62906 7.84409i −0.221680 0.479154i
\(269\) 21.3895 4.70818i 1.30414 0.287063i 0.492035 0.870575i \(-0.336253\pi\)
0.812104 + 0.583513i \(0.198322\pi\)
\(270\) −0.181970 0.156231i −0.0110743 0.00950792i
\(271\) 16.0661 + 7.43295i 0.975944 + 0.451520i 0.842005 0.539470i \(-0.181375\pi\)
0.133939 + 0.990990i \(0.457237\pi\)
\(272\) −5.52998 1.53539i −0.335304 0.0930968i
\(273\) 0.280763 + 0.206301i 0.0169926 + 0.0124859i
\(274\) −2.87433 2.44148i −0.173645 0.147495i
\(275\) 5.73091 + 14.3835i 0.345587 + 0.867357i
\(276\) 19.2003 16.8550i 1.15572 1.01455i
\(277\) −5.26197 18.9519i −0.316161 1.13871i −0.935424 0.353527i \(-0.884982\pi\)
0.619263 0.785183i \(-0.287431\pi\)
\(278\) −1.60669 + 0.541358i −0.0963630 + 0.0324685i
\(279\) 4.06495 9.59473i 0.243362 0.574422i
\(280\) 0.143847 + 0.0762631i 0.00859653 + 0.00455759i
\(281\) −3.39992 + 2.88792i −0.202822 + 0.172279i −0.743041 0.669246i \(-0.766617\pi\)
0.540219 + 0.841525i \(0.318341\pi\)
\(282\) −0.760519 + 0.0536732i −0.0452883 + 0.00319619i
\(283\) −2.42278 22.2771i −0.144019 1.32424i −0.813569 0.581468i \(-0.802478\pi\)
0.669550 0.742767i \(-0.266487\pi\)
\(284\) 0.0174263 0.0118154i 0.00103406 0.000701112i
\(285\) −0.494719 + 0.117378i −0.0293046 + 0.00695285i
\(286\) 0.153615 0.162170i 0.00908347 0.00958931i
\(287\) 6.95205 + 0.376929i 0.410366 + 0.0222494i
\(288\) −1.40448 + 10.7501i −0.0827597 + 0.633457i
\(289\) 11.2429 8.54665i 0.661348 0.502744i
\(290\) 0.115250 + 0.0125342i 0.00676772 + 0.000736034i
\(291\) −5.82351 1.18272i −0.341380 0.0693325i
\(292\) −14.8300 5.90879i −0.867857 0.345786i
\(293\) −9.05424 + 15.0483i −0.528954 + 0.879129i −0.999996 0.00298219i \(-0.999051\pi\)
0.471041 + 0.882111i \(0.343878\pi\)
\(294\) −2.67461 2.19784i −0.155986 0.128180i
\(295\) 0.996902 0.455999i 0.0580419 0.0265493i
\(296\) 5.93250i 0.344819i
\(297\) 13.8876 8.25615i 0.805839 0.479071i
\(298\) 1.71113 4.29462i 0.0991233 0.248781i
\(299\) 1.52737 0.809759i 0.0883300 0.0468296i
\(300\) −11.4343 11.6837i −0.660157 0.674560i
\(301\) −1.01574 1.33618i −0.0585463 0.0770163i
\(302\) −2.34153 + 6.94942i −0.134740 + 0.399894i
\(303\) 8.66232 9.44836i 0.497637 0.542794i
\(304\) 5.05236 + 4.78585i 0.289773 + 0.274487i
\(305\) 0.812736 + 0.617825i 0.0465371 + 0.0353766i
\(306\) 1.17012 + 1.15732i 0.0668916 + 0.0661596i
\(307\) 19.8687 2.16085i 1.13397 0.123326i 0.478173 0.878266i \(-0.341299\pi\)
0.655795 + 0.754939i \(0.272334\pi\)
\(308\) −3.87439 + 3.67002i −0.220764 + 0.209119i
\(309\) 6.47787 0.105548i 0.368513 0.00600440i
\(310\) 0.0750958 0.141646i 0.00426516 0.00804494i
\(311\) 10.0077 + 6.78538i 0.567484 + 0.384763i 0.810923 0.585153i \(-0.198965\pi\)
−0.243440 + 0.969916i \(0.578276\pi\)
\(312\) −0.172052 + 0.453153i −0.00974054 + 0.0256547i
\(313\) −0.600864 + 0.166829i −0.0339628 + 0.00942974i −0.284468 0.958685i \(-0.591817\pi\)
0.250505 + 0.968115i \(0.419403\pi\)
\(314\) 1.10662 + 0.181421i 0.0624502 + 0.0102382i
\(315\) 0.210602 + 0.325524i 0.0118661 + 0.0183412i
\(316\) −14.7059 + 17.3132i −0.827274 + 0.973942i
\(317\) −4.54041 + 0.246174i −0.255015 + 0.0138265i −0.181203 0.983446i \(-0.557999\pi\)
−0.0738118 + 0.997272i \(0.523516\pi\)
\(318\) −3.26779 4.65453i −0.183249 0.261013i
\(319\) −3.27914 + 7.08774i −0.183597 + 0.396838i
\(320\) 0.171749 0.780263i 0.00960106 0.0436180i
\(321\) 6.41796 12.5973i 0.358216 0.703112i
\(322\) 2.06846 0.956973i 0.115271 0.0533300i
\(323\) 3.44309 0.564467i 0.191579 0.0314078i
\(324\) −10.1734 + 13.6931i −0.565190 + 0.760725i
\(325\) −0.570287 0.947825i −0.0316339 0.0525759i
\(326\) 0.196264 + 1.19716i 0.0108701 + 0.0663044i
\(327\) −6.23122 + 23.9498i −0.344587 + 1.32443i
\(328\) 2.08223 + 9.45965i 0.114972 + 0.522322i
\(329\) 1.20367 + 0.264948i 0.0663606 + 0.0146071i
\(330\) 0.223869 0.108035i 0.0123236 0.00594712i
\(331\) 2.75927 9.93800i 0.151663 0.546242i −0.848199 0.529677i \(-0.822313\pi\)
0.999863 0.0165650i \(-0.00527305\pi\)
\(332\) 0.923473 + 17.0325i 0.0506822 + 0.934778i
\(333\) −6.88508 + 12.3358i −0.377300 + 0.675998i
\(334\) −7.74263 + 3.08495i −0.423658 + 0.168801i
\(335\) 0.105285 0.642212i 0.00575235 0.0350878i
\(336\) 2.14943 4.85180i 0.117261 0.264688i
\(337\) 8.72315 + 25.8894i 0.475180 + 1.41028i 0.870694 + 0.491825i \(0.163670\pi\)
−0.395514 + 0.918460i \(0.629434\pi\)
\(338\) 2.35045 3.46665i 0.127848 0.188561i
\(339\) −18.3304 + 7.65184i −0.995571 + 0.415591i
\(340\) −0.297061 0.349727i −0.0161104 0.0189666i
\(341\) 7.42711 + 7.84071i 0.402201 + 0.424598i
\(342\) −0.596252 1.90448i −0.0322416 0.102983i
\(343\) 6.69774 + 9.87843i 0.361644 + 0.533385i
\(344\) 1.41313 1.85894i 0.0761908 0.100227i
\(345\) 1.90884 0.239124i 0.102768 0.0128740i
\(346\) 0.344535 6.35457i 0.0185223 0.341624i
\(347\) −25.2730 8.51545i −1.35672 0.457133i −0.455403 0.890286i \(-0.650505\pi\)
−0.901321 + 0.433152i \(0.857401\pi\)
\(348\) 0.312216 8.23976i 0.0167365 0.441697i
\(349\) −2.13877 + 19.6657i −0.114486 + 1.05268i 0.786129 + 0.618062i \(0.212082\pi\)
−0.900615 + 0.434618i \(0.856883\pi\)
\(350\) −0.683090 1.28845i −0.0365127 0.0688703i
\(351\) −0.883675 + 0.742590i −0.0471671 + 0.0396365i
\(352\) −9.62805 5.79301i −0.513177 0.308768i
\(353\) −0.456126 −0.0242771 −0.0121386 0.999926i \(-0.503864\pi\)
−0.0121386 + 0.999926i \(0.503864\pi\)
\(354\) 2.06078 + 3.77706i 0.109529 + 0.200748i
\(355\) 0.00158532 8.41401e−5
\(356\) −28.9208 17.4010i −1.53280 0.922254i
\(357\) −1.28433 2.32997i −0.0679740 0.123315i
\(358\) 1.69095 + 3.18947i 0.0893695 + 0.168569i
\(359\) −1.40524 + 12.9210i −0.0741659 + 0.681944i 0.896752 + 0.442533i \(0.145920\pi\)
−0.970918 + 0.239411i \(0.923046\pi\)
\(360\) −0.357986 + 0.403474i −0.0188675 + 0.0212650i
\(361\) 13.9961 + 4.71584i 0.736637 + 0.248202i
\(362\) 0.319623 5.89511i 0.0167990 0.309840i
\(363\) −0.286829 2.28965i −0.0150546 0.120176i
\(364\) 0.230733 0.303525i 0.0120937 0.0159090i
\(365\) −0.674560 0.994902i −0.0353081 0.0520756i
\(366\) −2.19433 + 3.35272i −0.114700 + 0.175250i
\(367\) −19.5554 20.6444i −1.02078 1.07763i −0.996960 0.0779131i \(-0.975174\pi\)
−0.0238245 0.999716i \(-0.507584\pi\)
\(368\) −17.0460 20.0681i −0.888586 1.04612i
\(369\) −6.64889 + 22.0866i −0.346127 + 1.14978i
\(370\) −0.121976 + 0.179901i −0.00634121 + 0.00935259i
\(371\) 2.93552 + 8.71231i 0.152405 + 0.452321i
\(372\) −10.4258 4.61879i −0.540552 0.239473i
\(373\) −4.94299 + 30.1509i −0.255938 + 1.56115i 0.475791 + 0.879559i \(0.342162\pi\)
−0.731729 + 0.681596i \(0.761286\pi\)
\(374\) −1.58459 + 0.631358i −0.0819372 + 0.0326468i
\(375\) −0.438711 2.42760i −0.0226550 0.125361i
\(376\) 0.0928305 + 1.71216i 0.00478737 + 0.0882978i
\(377\) 0.149264 0.537601i 0.00768749 0.0276878i
\(378\) −1.21629 + 0.914493i −0.0625594 + 0.0470364i
\(379\) −12.3674 2.72227i −0.635270 0.139834i −0.114352 0.993440i \(-0.536479\pi\)
−0.520918 + 0.853607i \(0.674410\pi\)
\(380\) 0.119611 + 0.543399i 0.00613592 + 0.0278758i
\(381\) 18.5997 + 4.83924i 0.952893 + 0.247922i
\(382\) −0.400311 2.44179i −0.0204817 0.124933i
\(383\) 5.88982 + 9.78896i 0.300956 + 0.500193i 0.970024 0.243008i \(-0.0781342\pi\)
−0.669068 + 0.743201i \(0.733307\pi\)
\(384\) 15.4874 + 2.28060i 0.790340 + 0.116381i
\(385\) −0.396542 + 0.0650097i −0.0202096 + 0.00331320i
\(386\) −6.17777 + 2.85814i −0.314440 + 0.145475i
\(387\) 5.09584 2.22537i 0.259036 0.113122i
\(388\) −1.39792 + 6.35081i −0.0709686 + 0.322414i
\(389\) 12.4534 26.9177i 0.631414 1.36478i −0.282655 0.959222i \(-0.591215\pi\)
0.914069 0.405558i \(-0.132923\pi\)
\(390\) −0.0145345 + 0.0102042i −0.000735983 + 0.000516709i
\(391\) −13.1816 + 0.714688i −0.666625 + 0.0361433i
\(392\) −5.04030 + 5.93390i −0.254574 + 0.299707i
\(393\) −5.76975 + 18.0929i −0.291045 + 0.912668i
\(394\) −5.59054 0.916522i −0.281647 0.0461737i
\(395\) −1.64809 + 0.457591i −0.0829246 + 0.0230239i
\(396\) −8.78604 15.3425i −0.441515 0.770992i
\(397\) 25.3694 + 17.2009i 1.27326 + 0.863289i 0.995256 0.0972926i \(-0.0310183\pi\)
0.278000 + 0.960581i \(0.410329\pi\)
\(398\) 0.506934 0.956178i 0.0254103 0.0479289i
\(399\) 0.0525575 + 3.22565i 0.00263116 + 0.161485i
\(400\) −12.2316 + 11.5864i −0.611578 + 0.579318i
\(401\) −26.7448 + 2.90868i −1.33557 + 0.145252i −0.747881 0.663832i \(-0.768929\pi\)
−0.587692 + 0.809085i \(0.699963\pi\)
\(402\) 2.54347 + 0.234761i 0.126857 + 0.0117088i
\(403\) −0.614250 0.466941i −0.0305980 0.0232600i
\(404\) −10.1837 9.64648i −0.506657 0.479931i
\(405\) −1.21264 + 0.423501i −0.0602567 + 0.0210439i
\(406\) 0.234866 0.697057i 0.0116562 0.0345944i
\(407\) −8.86087 11.6563i −0.439217 0.577780i
\(408\) 2.64536 2.58887i 0.130965 0.128168i
\(409\) 23.7881 12.6117i 1.17625 0.623607i 0.238574 0.971124i \(-0.423320\pi\)
0.937673 + 0.347518i \(0.112975\pi\)
\(410\) −0.131353 + 0.329672i −0.00648708 + 0.0162813i
\(411\) −19.0327 + 6.76007i −0.938811 + 0.333450i
\(412\) 7.08976i 0.349287i
\(413\) −1.46588 6.79932i −0.0721314 0.334573i
\(414\) 1.46365 + 7.40738i 0.0719344 + 0.364053i
\(415\) −0.662166 + 1.10053i −0.0325045 + 0.0540228i
\(416\) 0.745753 + 0.297135i 0.0365635 + 0.0145682i
\(417\) −1.80723 + 8.89848i −0.0885006 + 0.435760i
\(418\) 2.05622 + 0.223628i 0.100573 + 0.0109380i
\(419\) 20.7951 15.8080i 1.01591 0.772271i 0.0419754 0.999119i \(-0.486635\pi\)
0.973930 + 0.226847i \(0.0728418\pi\)
\(420\) 0.359932 0.224631i 0.0175629 0.0109609i
\(421\) 26.2414 + 1.42277i 1.27893 + 0.0693415i 0.681045 0.732242i \(-0.261526\pi\)
0.597883 + 0.801583i \(0.296009\pi\)
\(422\) 1.80167 1.90200i 0.0877038 0.0925877i
\(423\) −1.79405 + 3.66793i −0.0872298 + 0.178341i
\(424\) −10.5865 + 7.17779i −0.514124 + 0.348584i
\(425\) 0.913267 + 8.39735i 0.0442999 + 0.407331i
\(426\) 0.000438043 0.00620683i 2.12233e−5 0.000300722i
\(427\) 4.93693 4.19347i 0.238915 0.202936i
\(428\) −13.6691 7.24691i −0.660722 0.350293i
\(429\) −0.338785 1.14734i −0.0163567 0.0553942i
\(430\) 0.0810735 0.0273168i 0.00390971 0.00131733i
\(431\) −0.755849 2.72232i −0.0364080 0.131130i 0.943113 0.332473i \(-0.107883\pi\)
−0.979521 + 0.201343i \(0.935469\pi\)
\(432\) 13.9393 + 10.7132i 0.670655 + 0.515438i
\(433\) −11.0665 27.7748i −0.531821 1.33477i −0.912126 0.409910i \(-0.865560\pi\)
0.380305 0.924861i \(-0.375819\pi\)
\(434\) −0.775287 0.658535i −0.0372150 0.0316107i
\(435\) 0.367635 0.500330i 0.0176268 0.0239890i
\(436\) 26.0941 + 7.24498i 1.24968 + 0.346972i
\(437\) 14.5278 + 6.72129i 0.694961 + 0.321523i
\(438\) 3.70884 2.91593i 0.177215 0.139329i
\(439\) 28.1886 6.20477i 1.34537 0.296138i 0.516838 0.856083i \(-0.327109\pi\)
0.828529 + 0.559946i \(0.189178\pi\)
\(440\) −0.234737 0.507376i −0.0111907 0.0241882i
\(441\) −17.3673 + 6.48910i −0.827015 + 0.309005i
\(442\) 0.104419 0.0628270i 0.00496672 0.00298838i
\(443\) 16.4283 9.88458i 0.780532 0.469630i −0.0687087 0.997637i \(-0.521888\pi\)
0.849240 + 0.528006i \(0.177060\pi\)
\(444\) 13.3747 + 7.75336i 0.634735 + 0.367958i
\(445\) −1.06712 2.30655i −0.0505864 0.109341i
\(446\) −6.05061 + 1.33184i −0.286505 + 0.0630645i
\(447\) −15.3025 19.4636i −0.723784 0.920596i
\(448\) −4.60068 2.12850i −0.217362 0.100562i
\(449\) −21.8771 6.07415i −1.03244 0.286657i −0.290328 0.956927i \(-0.593764\pi\)
−0.742117 + 0.670270i \(0.766178\pi\)
\(450\) 4.68207 1.19177i 0.220715 0.0561805i
\(451\) −18.2203 15.4764i −0.857959 0.728757i
\(452\) 8.04561 + 20.1930i 0.378434 + 0.949797i
\(453\) 25.9099 + 29.5152i 1.21735 + 1.38674i
\(454\) 1.56109 + 5.62254i 0.0732656 + 0.263879i
\(455\) 0.0272056 0.00916662i 0.00127542 0.000429738i
\(456\) −4.30449 + 1.27102i −0.201576 + 0.0595211i
\(457\) −0.716507 0.379868i −0.0335168 0.0177695i 0.451566 0.892238i \(-0.350866\pi\)
−0.485083 + 0.874468i \(0.661210\pi\)
\(458\) 6.32311 5.37090i 0.295460 0.250966i
\(459\) 8.50522 2.31308i 0.396990 0.107965i
\(460\) −0.227611 2.09285i −0.0106124 0.0975797i
\(461\) −2.47274 + 1.67656i −0.115167 + 0.0780851i −0.617411 0.786641i \(-0.711818\pi\)
0.502244 + 0.864726i \(0.332508\pi\)
\(462\) −0.364094 1.53457i −0.0169392 0.0713947i
\(463\) −12.0735 + 12.7459i −0.561104 + 0.592351i −0.943387 0.331695i \(-0.892380\pi\)
0.382282 + 0.924046i \(0.375138\pi\)
\(464\) −8.48548 0.460069i −0.393929 0.0213582i
\(465\) −0.454591 0.728404i −0.0210812 0.0337789i
\(466\) −1.86500 + 1.41773i −0.0863944 + 0.0656753i
\(467\) 27.6344 + 3.00542i 1.27877 + 0.139074i 0.722173 0.691712i \(-0.243143\pi\)
0.556592 + 0.830786i \(0.312109\pi\)
\(468\) 0.796765 + 0.980128i 0.0368305 + 0.0453064i
\(469\) −3.83590 1.52836i −0.177125 0.0705732i
\(470\) −0.0323879 + 0.0538292i −0.00149394 + 0.00248295i
\(471\) 3.81295 4.64009i 0.175692 0.213804i
\(472\) 8.56904 4.49571i 0.394422 0.206932i
\(473\) 5.76315i 0.264990i
\(474\) −2.24694 6.32615i −0.103205 0.290570i
\(475\) 3.79115 9.51506i 0.173950 0.436581i
\(476\) −2.57228 + 1.36374i −0.117900 + 0.0625068i
\(477\) −30.3434 + 2.63890i −1.38933 + 0.120827i
\(478\) −1.33961 1.76223i −0.0612724 0.0806025i
\(479\) 4.87558 14.4702i 0.222771 0.661160i −0.776738 0.629824i \(-0.783127\pi\)
0.999509 0.0313363i \(-0.00997629\pi\)
\(480\) 0.658471 + 0.603691i 0.0300550 + 0.0275546i
\(481\) 0.759434 + 0.719374i 0.0346272 + 0.0328006i
\(482\) 2.08766 + 1.58700i 0.0950902 + 0.0722857i
\(483\) 1.12184 12.1544i 0.0510455 0.553043i
\(484\) −2.51038 + 0.273020i −0.114108 + 0.0124100i
\(485\) −0.355480 + 0.336729i −0.0161415 + 0.0152901i
\(486\) −1.99315 4.63071i −0.0904112 0.210053i
\(487\) −5.17725 + 9.76532i −0.234603 + 0.442509i −0.972661 0.232228i \(-0.925398\pi\)
0.738058 + 0.674737i \(0.235743\pi\)
\(488\) 7.45892 + 5.05727i 0.337650 + 0.228932i
\(489\) 6.07403 + 2.30618i 0.274677 + 0.104289i
\(490\) −0.274850 + 0.0763116i −0.0124164 + 0.00344741i
\(491\) 40.0419 + 6.56454i 1.80707 + 0.296253i 0.968586 0.248679i \(-0.0799964\pi\)
0.838480 + 0.544932i \(0.183445\pi\)
\(492\) 24.0479 + 7.66876i 1.08416 + 0.345735i
\(493\) −2.75819 + 3.24720i −0.124223 + 0.146246i
\(494\) −0.147552 + 0.00800006i −0.00663869 + 0.000359940i
\(495\) 0.100742 1.32745i 0.00452803 0.0596643i
\(496\) −4.93452 + 10.6658i −0.221566 + 0.478908i
\(497\) 0.00216232 0.00982353i 9.69934e−5 0.000440645i
\(498\) −4.49174 2.28842i −0.201280 0.102546i
\(499\) −18.8054 + 8.70031i −0.841846 + 0.389479i −0.792922 0.609323i \(-0.791441\pi\)
−0.0489239 + 0.998803i \(0.515579\pi\)
\(500\) −2.66403 + 0.436745i −0.119139 + 0.0195318i
\(501\) −6.50285 + 44.1606i −0.290526 + 1.97295i
\(502\) 3.56638 + 5.92737i 0.159175 + 0.264552i
\(503\) −2.37667 14.4971i −0.105971 0.646392i −0.985386 0.170336i \(-0.945515\pi\)
0.879415 0.476055i \(-0.157934\pi\)
\(504\) 2.01187 + 2.76861i 0.0896158 + 0.123324i
\(505\) −0.227053 1.03151i −0.0101037 0.0459017i
\(506\) −7.64273 1.68229i −0.339761 0.0747870i
\(507\) −9.74902 20.2019i −0.432969 0.897196i
\(508\) 5.62654 20.2650i 0.249637 0.899113i
\(509\) −0.848813 15.6554i −0.0376230 0.693915i −0.955129 0.296192i \(-0.904283\pi\)
0.917506 0.397723i \(-0.130199\pi\)
\(510\) 0.133448 0.0241165i 0.00590918 0.00106790i
\(511\) −7.08504 + 2.82294i −0.313424 + 0.124879i
\(512\) 3.35726 20.4784i 0.148372 0.905026i
\(513\) −10.4257 2.35275i −0.460306 0.103877i
\(514\) 1.39670 + 4.14525i 0.0616057 + 0.182839i
\(515\) 0.299583 0.441852i 0.0132012 0.0194703i
\(516\) −2.34408 5.61538i −0.103193 0.247203i
\(517\) −2.73970 3.22542i −0.120492 0.141854i
\(518\) 0.948393 + 1.00121i 0.0416700 + 0.0439905i
\(519\) −28.5177 18.6646i −1.25179 0.819285i
\(520\) 0.0224138 + 0.0330579i 0.000982909 + 0.00144968i
\(521\) 22.0485 29.0042i 0.965960 1.27070i 0.00329768 0.999995i \(-0.498950\pi\)
0.962663 0.270704i \(-0.0872566\pi\)
\(522\) 2.06047 + 1.30111i 0.0901842 + 0.0569482i
\(523\) 2.07946 38.3534i 0.0909284 1.67708i −0.496682 0.867932i \(-0.665449\pi\)
0.587611 0.809144i \(-0.300069\pi\)
\(524\) 19.6939 + 6.63563i 0.860330 + 0.289879i
\(525\) −7.80461 0.295727i −0.340621 0.0129066i
\(526\) 0.331937 3.05211i 0.0144732 0.133078i
\(527\) 2.75983 + 5.20559i 0.120220 + 0.226759i
\(528\) −15.9574 + 8.79604i −0.694455 + 0.382799i
\(529\) −32.1873 19.3665i −1.39945 0.842020i
\(530\) −0.468610 −0.0203551
\(531\) 23.0357 + 0.596762i 0.999665 + 0.0258973i
\(532\) 3.53034 0.153060
\(533\) 1.46344 + 0.880525i 0.0633888 + 0.0381398i
\(534\) 8.73570 4.81531i 0.378031 0.208379i
\(535\) −0.545672 1.02925i −0.0235914 0.0444982i
\(536\) 0.621103 5.71094i 0.0268276 0.246675i
\(537\) 19.3198 + 0.732055i 0.833713 + 0.0315905i
\(538\) 6.71235 + 2.26166i 0.289390 + 0.0975069i
\(539\) 1.04031 19.1873i 0.0448091 0.826456i
\(540\) 0.441762 + 1.33439i 0.0190104 + 0.0574229i
\(541\) 7.00856 9.21960i 0.301321 0.396381i −0.620368 0.784311i \(-0.713017\pi\)
0.921689 + 0.387930i \(0.126810\pi\)
\(542\) 3.21282 + 4.73855i 0.138002 + 0.203538i
\(543\) −26.4557 17.3151i −1.13532 0.743061i
\(544\) −4.21565 4.45041i −0.180745 0.190810i
\(545\) 1.32011 + 1.55415i 0.0565472 + 0.0665725i
\(546\) 0.0434062 + 0.103982i 0.00185762 + 0.00445002i
\(547\) −15.1844 + 22.3953i −0.649237 + 0.957553i 0.350542 + 0.936547i \(0.385997\pi\)
−0.999779 + 0.0210060i \(0.993313\pi\)
\(548\) 7.05734 + 20.9454i 0.301475 + 0.894745i
\(549\) 9.64047 + 19.1725i 0.411445 + 0.818263i
\(550\) −0.810105 + 4.94142i −0.0345430 + 0.210703i
\(551\) 4.79929 1.91221i 0.204457 0.0814630i
\(552\) 16.7107 3.01993i 0.711255 0.128537i
\(553\) 0.587545 + 10.8366i 0.0249850 + 0.460821i
\(554\) 1.70177 6.12921i 0.0723011 0.260405i
\(555\) 0.505922 + 1.04837i 0.0214752 + 0.0445007i
\(556\) 9.70422 + 2.13606i 0.411550 + 0.0905891i
\(557\) −6.88660 31.2862i −0.291795 1.32564i −0.863156 0.504938i \(-0.831515\pi\)
0.571361 0.820699i \(-0.306416\pi\)
\(558\) 2.72623 1.98108i 0.115411 0.0838656i
\(559\) −0.0666116 0.406313i −0.00281737 0.0171852i
\(560\) −0.225429 0.374667i −0.00952613 0.0158326i
\(561\) −1.33086 + 9.03781i −0.0561890 + 0.381577i
\(562\) −1.42368 + 0.233401i −0.0600545 + 0.00984543i
\(563\) 32.8911 15.2170i 1.38619 0.641321i 0.422018 0.906588i \(-0.361322\pi\)
0.964175 + 0.265267i \(0.0854600\pi\)
\(564\) 3.98135 + 2.02839i 0.167645 + 0.0854105i
\(565\) −0.351846 + 1.59845i −0.0148023 + 0.0672474i
\(566\) 3.04297 6.57727i 0.127906 0.276463i
\(567\) 0.970243 + 8.09185i 0.0407464 + 0.339826i
\(568\) 0.0139734 0.000757618i 0.000586313 3.17889e-5i
\(569\) −25.0415 + 29.4811i −1.04979 + 1.23591i −0.0787778 + 0.996892i \(0.525102\pi\)
−0.971015 + 0.239019i \(0.923174\pi\)
\(570\) −0.156665 0.0499597i −0.00656197 0.00209258i
\(571\) −14.7760 2.42240i −0.618356 0.101374i −0.155541 0.987829i \(-0.549712\pi\)
−0.462815 + 0.886455i \(0.653161\pi\)
\(572\) −1.26143 + 0.350233i −0.0527429 + 0.0146440i
\(573\) −12.3889 4.70381i −0.517555 0.196504i
\(574\) 1.86367 + 1.26360i 0.0777880 + 0.0527416i
\(575\) −18.1523 + 34.2388i −0.757001 + 1.42786i
\(576\) 10.4495 13.1472i 0.435395 0.547800i
\(577\) −15.2417 + 14.4377i −0.634522 + 0.601051i −0.935820 0.352479i \(-0.885339\pi\)
0.301298 + 0.953530i \(0.402580\pi\)
\(578\) 4.54060 0.493820i 0.188864 0.0205402i
\(579\) −3.35054 + 36.3008i −0.139244 + 1.50861i
\(580\) −0.540891 0.411175i −0.0224593 0.0170731i
\(581\) 5.91631 + 5.60423i 0.245450 + 0.232503i
\(582\) −1.41658 1.29873i −0.0587191 0.0538341i
\(583\) 10.0796 29.9151i 0.417454 1.23896i
\(584\) −6.42121 8.44696i −0.265712 0.349538i
\(585\) 0.00824039 + 0.0947520i 0.000340698 + 0.00391751i
\(586\) −5.01813 + 2.66044i −0.207297 + 0.109902i
\(587\) 4.07042 10.2160i 0.168004 0.421659i −0.820735 0.571309i \(-0.806436\pi\)
0.988739 + 0.149651i \(0.0478149\pi\)
\(588\) 6.79055 + 19.1185i 0.280038 + 0.788432i
\(589\) 7.14445i 0.294382i
\(590\) 0.352287 + 0.0398538i 0.0145034 + 0.00164076i
\(591\) −19.2627 + 23.4413i −0.792360 + 0.964245i
\(592\) 8.21407 13.6519i 0.337596 0.561089i
\(593\) 1.45771 + 0.580806i 0.0598611 + 0.0238508i 0.399877 0.916569i \(-0.369053\pi\)
−0.340015 + 0.940420i \(0.610432\pi\)
\(594\) 5.22504 + 0.0276351i 0.214386 + 0.00113388i
\(595\) −0.217937 0.0237021i −0.00893454 0.000971690i
\(596\) −21.5693 + 16.3965i −0.883511 + 0.671628i
\(597\) −3.06871 4.91709i −0.125594 0.201243i
\(598\) 0.558271 + 0.0302686i 0.0228294 + 0.00123777i
\(599\) 19.9777 21.0902i 0.816267 0.861722i −0.176185 0.984357i \(-0.556376\pi\)
0.992452 + 0.122635i \(0.0391343\pi\)
\(600\) −2.50840 10.5723i −0.102405 0.431613i
\(601\) 4.52798 3.07005i 0.184700 0.125230i −0.465333 0.885136i \(-0.654065\pi\)
0.650033 + 0.759906i \(0.274755\pi\)
\(602\) −0.0586888 0.539635i −0.00239198 0.0219939i
\(603\) 7.91945 11.1543i 0.322505 0.454238i
\(604\) 32.7565 27.8236i 1.33284 1.13213i
\(605\) −0.167990 0.0890626i −0.00682976 0.00362091i
\(606\) 3.97583 1.17397i 0.161507 0.0476894i
\(607\) −16.0387 + 5.40406i −0.650990 + 0.219344i −0.625371 0.780328i \(-0.715052\pi\)
−0.0256192 + 0.999672i \(0.508156\pi\)
\(608\) 1.98860 + 7.16228i 0.0806483 + 0.290469i
\(609\) −2.59888 2.96050i −0.105312 0.119966i
\(610\) 0.122208 + 0.306720i 0.00494807 + 0.0124187i
\(611\) 0.230434 + 0.195733i 0.00932237 + 0.00791849i
\(612\) −2.37927 9.34739i −0.0961764 0.377846i
\(613\) 37.7879 + 10.4918i 1.52624 + 0.423758i 0.926456 0.376404i \(-0.122839\pi\)
0.599784 + 0.800162i \(0.295253\pi\)
\(614\) 5.86621 + 2.71400i 0.236741 + 0.109528i
\(615\) 1.17468 + 1.49410i 0.0473677 + 0.0602480i
\(616\) −3.46416 + 0.762518i −0.139575 + 0.0307227i
\(617\) 2.92093 + 6.31348i 0.117592 + 0.254171i 0.957430 0.288667i \(-0.0932119\pi\)
−0.839838 + 0.542838i \(0.817350\pi\)
\(618\) 1.81271 + 1.05083i 0.0729179 + 0.0422708i
\(619\) −1.59031 + 0.956859i −0.0639200 + 0.0384594i −0.547155 0.837031i \(-0.684289\pi\)
0.483235 + 0.875491i \(0.339462\pi\)
\(620\) −0.805102 + 0.484414i −0.0323337 + 0.0194545i
\(621\) 38.2525 + 13.1144i 1.53502 + 0.526264i
\(622\) 1.64192 + 3.54895i 0.0658350 + 0.142300i
\(623\) −15.7482 + 3.46643i −0.630936 + 0.138880i
\(624\) 1.02336 0.804576i 0.0409671 0.0322088i
\(625\) 22.4125 + 10.3691i 0.896499 + 0.414765i
\(626\) −0.194324 0.0539539i −0.00776677 0.00215643i
\(627\) 6.55912 8.92658i 0.261946 0.356493i
\(628\) −5.00906 4.25474i −0.199883 0.169783i
\(629\) −2.95662 7.42056i −0.117888 0.295877i
\(630\) 0.00408498 + 0.125322i 0.000162749 + 0.00499295i
\(631\) 5.54998 + 19.9892i 0.220941 + 0.795758i 0.988036 + 0.154224i \(0.0492878\pi\)
−0.767095 + 0.641534i \(0.778298\pi\)
\(632\) −14.3081 + 4.82094i −0.569144 + 0.191767i
\(633\) −3.97341 13.4565i −0.157929 0.534848i
\(634\) −1.29926 0.688825i −0.0516003 0.0273567i
\(635\) 1.20697 1.02521i 0.0478972 0.0406843i
\(636\) 2.34644 + 33.2478i 0.0930426 + 1.31836i
\(637\) 0.148427 + 1.36477i 0.00588090 + 0.0540740i
\(638\) −2.09047 + 1.41737i −0.0827625 + 0.0561144i
\(639\) 0.0299351 + 0.0146418i 0.00118421 + 0.000579221i
\(640\) 0.887068 0.936466i 0.0350644 0.0370171i
\(641\) −38.5829 2.09190i −1.52393 0.0826252i −0.726976 0.686663i \(-0.759075\pi\)
−0.796956 + 0.604038i \(0.793558\pi\)
\(642\) 3.87891 2.42080i 0.153089 0.0955413i
\(643\) 32.1740 24.4581i 1.26882 0.964532i 0.268821 0.963190i \(-0.413366\pi\)
0.999999 0.00134166i \(-0.000427064\pi\)
\(644\) −13.2789 1.44417i −0.523263 0.0569083i
\(645\) 0.0911927 0.449016i 0.00359071 0.0176800i
\(646\) 1.04825 + 0.417660i 0.0412428 + 0.0164326i
\(647\) −13.4599 + 22.3705i −0.529162 + 0.879475i −0.999996 0.00274723i \(-0.999126\pi\)
0.470834 + 0.882222i \(0.343953\pi\)
\(648\) −10.4862 + 4.31237i −0.411936 + 0.169406i
\(649\) −10.1217 + 21.6321i −0.397312 + 0.849134i
\(650\) 0.357743i 0.0140318i
\(651\) −5.13364 + 1.82338i −0.201203 + 0.0714639i
\(652\) 2.63163 6.60490i 0.103063 0.258668i
\(653\) 2.07815 1.10176i 0.0813241 0.0431153i −0.427250 0.904134i \(-0.640518\pi\)
0.508574 + 0.861018i \(0.330173\pi\)
\(654\) −5.72003 + 5.59790i −0.223671 + 0.218895i
\(655\) 0.946978 + 1.24573i 0.0370015 + 0.0486746i
\(656\) 8.30610 24.6516i 0.324299 0.962484i
\(657\) −3.54873 25.0166i −0.138449 0.975989i
\(658\) 0.289379 + 0.274115i 0.0112812 + 0.0106861i
\(659\) −26.0932 19.8355i −1.01645 0.772682i −0.0424160 0.999100i \(-0.513505\pi\)
−0.974030 + 0.226418i \(0.927299\pi\)
\(660\) −1.45066 0.133895i −0.0564667 0.00521184i
\(661\) 6.78606 0.738029i 0.263947 0.0287060i 0.0248116 0.999692i \(-0.492101\pi\)
0.239136 + 0.970986i \(0.423136\pi\)
\(662\) 2.42164 2.29390i 0.0941198 0.0891550i
\(663\) −0.0106326 0.652565i −0.000412937 0.0253435i
\(664\) −5.31057 + 10.0168i −0.206090 + 0.388727i
\(665\) 0.220020 + 0.149177i 0.00853202 + 0.00578485i
\(666\) −3.96476 + 2.27045i −0.153631 + 0.0879783i
\(667\) −18.8341 + 5.22927i −0.729261 + 0.202478i
\(668\) 48.2032 + 7.90251i 1.86504 + 0.305757i
\(669\) −10.0809 + 31.6120i −0.389751 + 1.22219i
\(670\) 0.136255 0.160412i 0.00526399 0.00619725i
\(671\) −22.2090 + 1.20414i −0.857370 + 0.0464853i
\(672\) 4.63893 3.25684i 0.178951 0.125635i
\(673\) −15.5451 + 33.6002i −0.599220 + 1.29519i 0.336245 + 0.941775i \(0.390843\pi\)
−0.935465 + 0.353419i \(0.885019\pi\)
\(674\) −1.89934 + 8.62878i −0.0731598 + 0.332368i
\(675\) 7.05404 24.8948i 0.271510 0.958202i
\(676\) −22.2780 + 10.3069i −0.856848 + 0.396420i
\(677\) −27.7240 + 4.54512i −1.06552 + 0.174683i −0.668940 0.743316i \(-0.733252\pi\)
−0.396581 + 0.918000i \(0.629803\pi\)
\(678\) −6.35545 0.935871i −0.244080 0.0359419i
\(679\) 1.60170 + 2.66204i 0.0614674 + 0.102160i
\(680\) −0.0493416 0.300971i −0.00189217 0.0115417i
\(681\) 30.2444 + 7.86892i 1.15897 + 0.301538i
\(682\) 0.750847 + 3.41113i 0.0287514 + 0.130619i
\(683\) 1.06173 + 0.233705i 0.0406261 + 0.00894249i 0.235237 0.971938i \(-0.424413\pi\)
−0.194611 + 0.980881i \(0.562344\pi\)
\(684\) −2.76018 + 11.3655i −0.105538 + 0.434572i
\(685\) −0.445234 + 1.60359i −0.0170115 + 0.0612699i
\(686\) 0.208969 + 3.85420i 0.00797847 + 0.147154i
\(687\) −7.90162 43.7235i −0.301465 1.66815i
\(688\) −5.82577 + 2.32120i −0.222105 + 0.0884948i
\(689\) −0.364865 + 2.22558i −0.0139002 + 0.0847877i
\(690\) 0.568837 + 0.252004i 0.0216553 + 0.00959363i
\(691\) 4.26059 + 12.6450i 0.162081 + 0.481038i 0.997663 0.0683270i \(-0.0217661\pi\)
−0.835582 + 0.549365i \(0.814870\pi\)
\(692\) −20.9306 + 30.8704i −0.795663 + 1.17352i
\(693\) −8.08819 2.43484i −0.307245 0.0924921i
\(694\) −5.58369 6.57363i −0.211954 0.249532i
\(695\) 0.514531 + 0.543184i 0.0195173 + 0.0206041i
\(696\) 3.00133 4.58573i 0.113765 0.173822i
\(697\) −7.31899 10.7947i −0.277227 0.408879i
\(698\) −3.87163 + 5.09305i −0.146543 + 0.192775i
\(699\) 1.55954 + 12.4492i 0.0589873 + 0.470873i
\(700\) −0.462716 + 8.53429i −0.0174890 + 0.322566i
\(701\) −15.0522 5.07166i −0.568512 0.191554i 0.0203424 0.999793i \(-0.493524\pi\)
−0.588855 + 0.808239i \(0.700421\pi\)
\(702\) −0.368695 + 0.0584437i −0.0139155 + 0.00220582i
\(703\) −1.04724 + 9.62919i −0.0394973 + 0.363172i
\(704\) 8.15308 + 15.3783i 0.307281 + 0.579593i
\(705\) 0.162417 + 0.294649i 0.00611698 + 0.0110971i
\(706\) −0.126399 0.0760519i −0.00475710 0.00286225i
\(707\) −6.70151 −0.252036
\(708\) 1.06364 25.1943i 0.0399739 0.946860i
\(709\) 2.21963 0.0833598 0.0416799 0.999131i \(-0.486729\pi\)
0.0416799 + 0.999131i \(0.486729\pi\)
\(710\) 0.000439316 0 0.000264328i 1.64872e−5 0 9.92004e-6i
\(711\) −35.3467 6.58102i −1.32560 0.246807i
\(712\) −10.5082 19.8205i −0.393811 0.742806i
\(713\) −2.92260 + 26.8729i −0.109452 + 1.00640i
\(714\) 0.0325795 0.859812i 0.00121926 0.0321777i
\(715\) −0.0934147 0.0314751i −0.00349351 0.00117710i
\(716\) 1.14542 21.1261i 0.0428065 0.789520i
\(717\) −11.7632 + 1.47361i −0.439306 + 0.0550328i
\(718\) −2.54379 + 3.34630i −0.0949334 + 0.124883i
\(719\) −17.3758 25.6275i −0.648010 0.955743i −0.999807 0.0196666i \(-0.993740\pi\)
0.351797 0.936076i \(-0.385571\pi\)
\(720\) 1.38245 0.432813i 0.0515207 0.0161300i
\(721\) −2.32934 2.45905i −0.0867491 0.0915799i
\(722\) 3.09224 + 3.64046i 0.115081 + 0.135484i
\(723\) 12.9606 5.41025i 0.482008 0.201209i
\(724\) −19.4173 + 28.6383i −0.721637 + 1.06433i
\(725\) 3.99357 + 11.8525i 0.148317 + 0.440190i
\(726\) 0.302279 0.682321i 0.0112186 0.0253233i
\(727\) −3.17922 + 19.3924i −0.117911 + 0.719224i 0.860015 + 0.510270i \(0.170454\pi\)
−0.977925 + 0.208955i \(0.932994\pi\)
\(728\) 0.235416 0.0937984i 0.00872511 0.00347640i
\(729\) −26.8093 3.20297i −0.992939 0.118629i
\(730\) −0.0210462 0.388175i −0.000778955 0.0143670i
\(731\) −0.841134 + 3.02949i −0.0311105 + 0.112050i
\(732\) 21.1498 10.2065i 0.781720 0.377243i
\(733\) −2.72454 0.599718i −0.100633 0.0221511i 0.164368 0.986399i \(-0.447441\pi\)
−0.265002 + 0.964248i \(0.585372\pi\)
\(734\) −1.97696 8.98143i −0.0729710 0.331511i
\(735\) −0.384661 + 1.47845i −0.0141884 + 0.0545335i
\(736\) −4.54995 27.7535i −0.167713 1.02301i
\(737\) 7.30960 + 12.1486i 0.269253 + 0.447501i
\(738\) −5.52511 + 5.01193i −0.203382 + 0.184492i
\(739\) 4.04164 0.662593i 0.148674 0.0243739i −0.0869852 0.996210i \(-0.527723\pi\)
0.235659 + 0.971836i \(0.424275\pi\)
\(740\) 1.15611 0.534874i 0.0424995 0.0196623i
\(741\) −0.359255 + 0.705153i −0.0131976 + 0.0259044i
\(742\) −0.639167 + 2.90376i −0.0234645 + 0.106601i
\(743\) 15.0777 32.5899i 0.553147 1.19561i −0.406305 0.913737i \(-0.633183\pi\)
0.959452 0.281871i \(-0.0909549\pi\)
\(744\) −4.35499 6.20310i −0.159662 0.227417i
\(745\) −2.03710 + 0.110448i −0.0746335 + 0.00404651i
\(746\) −6.39697 + 7.53109i −0.234210 + 0.275733i
\(747\) −22.6678 + 14.6653i −0.829371 + 0.536574i
\(748\) 9.86516 + 1.61731i 0.360706 + 0.0591347i
\(749\) −7.12205 + 1.97743i −0.260234 + 0.0722536i
\(750\) 0.283191 0.745873i 0.0103407 0.0272354i
\(751\) 10.0404 + 6.80758i 0.366381 + 0.248412i 0.730460 0.682956i \(-0.239306\pi\)
−0.364079 + 0.931368i \(0.618616\pi\)
\(752\) 2.15701 4.06856i 0.0786582 0.148365i
\(753\) 37.0429 0.603562i 1.34992 0.0219950i
\(754\) 0.131000 0.124090i 0.00477073 0.00451908i
\(755\) 3.21718 0.349889i 0.117085 0.0127338i
\(756\) 8.87114 0.917348i 0.322640 0.0333636i
\(757\) −5.90592 4.48956i −0.214654 0.163176i 0.492322 0.870413i \(-0.336148\pi\)
−0.706976 + 0.707237i \(0.749941\pi\)
\(758\) −2.97329 2.81645i −0.107995 0.102298i
\(759\) −28.3229 + 30.8930i −1.02806 + 1.12134i
\(760\) −0.118085 + 0.350464i −0.00428340 + 0.0127127i
\(761\) 31.7738 + 41.7977i 1.15180 + 1.51517i 0.820506 + 0.571639i \(0.193692\pi\)
0.331294 + 0.943528i \(0.392515\pi\)
\(762\) 4.34739 + 4.44224i 0.157489 + 0.160925i
\(763\) 11.4310 6.06031i 0.413828 0.219398i
\(764\) −5.36763 + 13.4717i −0.194194 + 0.487390i
\(765\) 0.246698 0.683091i 0.00891940 0.0246972i
\(766\) 3.69470i 0.133495i
\(767\) 0.463573 1.64209i 0.0167387 0.0592925i
\(768\) −11.0710 9.09746i −0.399489 0.328276i
\(769\) −15.7219 + 26.1300i −0.566946 + 0.942272i 0.432233 + 0.901762i \(0.357726\pi\)
−0.999179 + 0.0405097i \(0.987102\pi\)
\(770\) −0.120727 0.0481020i −0.00435070 0.00173348i
\(771\) 22.9580 + 4.66264i 0.826811 + 0.167921i
\(772\) 39.6594 + 4.31322i 1.42737