Properties

Label 483.2.y.a.121.11
Level $483$
Weight $2$
Character 483.121
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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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 121.11
Character \(\chi\) \(=\) 483.121
Dual form 483.2.y.a.4.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.466737 + 0.655441i) q^{2} +(-0.235759 - 0.971812i) q^{3} +(0.442377 - 1.27816i) q^{4} +(-0.00881404 - 0.185029i) q^{5} +(0.526928 - 0.608107i) q^{6} +(1.59903 + 2.10787i) q^{7} +(2.58833 - 0.760002i) q^{8} +(-0.888835 + 0.458227i) q^{9} +O(q^{10})\) \(q+(0.466737 + 0.655441i) q^{2} +(-0.235759 - 0.971812i) q^{3} +(0.442377 - 1.27816i) q^{4} +(-0.00881404 - 0.185029i) q^{5} +(0.526928 - 0.608107i) q^{6} +(1.59903 + 2.10787i) q^{7} +(2.58833 - 0.760002i) q^{8} +(-0.888835 + 0.458227i) q^{9} +(0.117162 - 0.0921373i) q^{10} +(1.88187 - 2.64272i) q^{11} +(-1.34643 - 0.128568i) q^{12} +(-0.0720877 - 0.501381i) q^{13} +(-0.635255 + 2.03189i) q^{14} +(-0.177736 + 0.0521879i) q^{15} +(-0.420150 - 0.330410i) q^{16} +(-0.392504 - 0.0756489i) q^{17} +(-0.715193 - 0.368708i) q^{18} +(-2.40216 + 0.462978i) q^{19} +(-0.240397 - 0.0705870i) q^{20} +(1.67146 - 2.05090i) q^{21} +2.61048 q^{22} +(-1.16371 - 4.65250i) q^{23} +(-1.34880 - 2.33619i) q^{24} +(4.94320 - 0.472019i) q^{25} +(0.294980 - 0.281263i) q^{26} +(0.654861 + 0.755750i) q^{27} +(3.40157 - 1.11135i) q^{28} +(2.98108 - 3.44035i) q^{29} +(-0.117162 - 0.0921373i) q^{30} +(5.00085 + 4.76830i) q^{31} +(0.277178 - 5.81869i) q^{32} +(-3.01189 - 1.20578i) q^{33} +(-0.133613 - 0.292571i) q^{34} +(0.375923 - 0.314447i) q^{35} +(0.192488 + 1.33879i) q^{36} +(-7.11895 + 3.67007i) q^{37} +(-1.42463 - 1.35838i) q^{38} +(-0.470252 + 0.188261i) q^{39} +(-0.163436 - 0.472219i) q^{40} +(2.79630 - 1.79707i) q^{41} +(2.12438 + 0.138312i) q^{42} +(-3.30973 - 0.971823i) q^{43} +(-2.54533 - 3.57441i) q^{44} +(0.0926196 + 0.160422i) q^{45} +(2.50630 - 2.93424i) q^{46} +(0.525343 - 0.909920i) q^{47} +(-0.222042 + 0.486204i) q^{48} +(-1.88620 + 6.74109i) q^{49} +(2.61656 + 3.01967i) q^{50} +(0.0190198 + 0.399275i) q^{51} +(-0.672737 - 0.129659i) q^{52} +(-0.870080 + 0.348327i) q^{53} +(-0.189701 + 0.781959i) q^{54} +(-0.505567 - 0.324908i) q^{55} +(5.74080 + 4.24059i) q^{56} +(1.01626 + 2.22529i) q^{57} +(3.64633 + 0.348182i) q^{58} +(-4.59067 + 3.61014i) q^{59} +(-0.0119215 + 0.250262i) q^{60} +(-2.47549 + 10.2041i) q^{61} +(-0.791256 + 5.50331i) q^{62} +(-2.38716 - 1.14083i) q^{63} +(3.04387 - 1.95618i) q^{64} +(-0.0921349 + 0.0177575i) q^{65} +(-0.615445 - 2.53690i) q^{66} +(4.52816 - 0.432387i) q^{67} +(-0.270326 + 0.468219i) q^{68} +(-4.24700 + 2.22777i) q^{69} +(0.381559 + 0.0996317i) q^{70} +(-5.94178 + 13.0107i) q^{71} +(-1.95235 + 1.86156i) q^{72} +(-2.10552 + 6.08350i) q^{73} +(-5.72820 - 2.95309i) q^{74} +(-1.62412 - 4.69258i) q^{75} +(-0.470897 + 3.27516i) q^{76} +(8.57966 - 0.259054i) q^{77} +(-0.342878 - 0.220354i) q^{78} +(8.29770 + 3.32190i) q^{79} +(-0.0574323 + 0.0806524i) q^{80} +(0.580057 - 0.814576i) q^{81} +(2.48301 + 0.994047i) q^{82} +(-3.39409 - 2.18125i) q^{83} +(-1.88198 - 3.04368i) q^{84} +(-0.0105377 + 0.0732915i) q^{85} +(-0.907800 - 2.62292i) q^{86} +(-4.04619 - 2.08595i) q^{87} +(2.86243 - 8.27044i) q^{88} +(-9.06952 + 8.64777i) q^{89} +(-0.0619181 + 0.135582i) q^{90} +(0.941574 - 0.953675i) q^{91} +(-6.46146 - 0.570753i) q^{92} +(3.45489 - 5.98405i) q^{93} +(0.841596 - 0.0803627i) q^{94} +(0.106837 + 0.440389i) q^{95} +(-5.72002 + 1.10244i) q^{96} +(-4.84968 + 3.11670i) q^{97} +(-5.29875 + 1.91002i) q^{98} +(-0.461710 + 3.21126i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{9}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.466737 + 0.655441i 0.330033 + 0.463467i 0.945935 0.324356i \(-0.105148\pi\)
−0.615902 + 0.787823i \(0.711208\pi\)
\(3\) −0.235759 0.971812i −0.136115 0.561076i
\(4\) 0.442377 1.27816i 0.221188 0.639082i
\(5\) −0.00881404 0.185029i −0.00394176 0.0827477i 0.996039 0.0889149i \(-0.0283399\pi\)
−0.999981 + 0.00616724i \(0.998037\pi\)
\(6\) 0.526928 0.608107i 0.215117 0.248259i
\(7\) 1.59903 + 2.10787i 0.604377 + 0.796699i
\(8\) 2.58833 0.760002i 0.915113 0.268701i
\(9\) −0.888835 + 0.458227i −0.296278 + 0.152742i
\(10\) 0.117162 0.0921373i 0.0370499 0.0291364i
\(11\) 1.88187 2.64272i 0.567405 0.796809i −0.426796 0.904348i \(-0.640358\pi\)
0.994201 + 0.107539i \(0.0342971\pi\)
\(12\) −1.34643 0.128568i −0.388680 0.0371145i
\(13\) −0.0720877 0.501381i −0.0199935 0.139058i 0.977380 0.211492i \(-0.0678323\pi\)
−0.997373 + 0.0724343i \(0.976923\pi\)
\(14\) −0.635255 + 2.03189i −0.169779 + 0.543046i
\(15\) −0.177736 + 0.0521879i −0.0458912 + 0.0134749i
\(16\) −0.420150 0.330410i −0.105038 0.0826024i
\(17\) −0.392504 0.0756489i −0.0951962 0.0183476i 0.141431 0.989948i \(-0.454830\pi\)
−0.236627 + 0.971601i \(0.576042\pi\)
\(18\) −0.715193 0.368708i −0.168573 0.0869053i
\(19\) −2.40216 + 0.462978i −0.551092 + 0.106214i −0.457193 0.889367i \(-0.651145\pi\)
−0.0938991 + 0.995582i \(0.529933\pi\)
\(20\) −0.240397 0.0705870i −0.0537544 0.0157837i
\(21\) 1.67146 2.05090i 0.364743 0.447544i
\(22\) 2.61048 0.556557
\(23\) −1.16371 4.65250i −0.242649 0.970114i
\(24\) −1.34880 2.33619i −0.275323 0.476873i
\(25\) 4.94320 0.472019i 0.988640 0.0944037i
\(26\) 0.294980 0.281263i 0.0578503 0.0551601i
\(27\) 0.654861 + 0.755750i 0.126028 + 0.145444i
\(28\) 3.40157 1.11135i 0.642837 0.210026i
\(29\) 2.98108 3.44035i 0.553573 0.638857i −0.408139 0.912920i \(-0.633822\pi\)
0.961712 + 0.274063i \(0.0883676\pi\)
\(30\) −0.117162 0.0921373i −0.0213908 0.0168219i
\(31\) 5.00085 + 4.76830i 0.898179 + 0.856412i 0.990244 0.139341i \(-0.0444985\pi\)
−0.0920656 + 0.995753i \(0.529347\pi\)
\(32\) 0.277178 5.81869i 0.0489987 1.02861i
\(33\) −3.01189 1.20578i −0.524303 0.209899i
\(34\) −0.133613 0.292571i −0.0229144 0.0501756i
\(35\) 0.375923 0.314447i 0.0635427 0.0531512i
\(36\) 0.192488 + 1.33879i 0.0320814 + 0.223131i
\(37\) −7.11895 + 3.67007i −1.17035 + 0.603357i −0.930083 0.367351i \(-0.880265\pi\)
−0.240266 + 0.970707i \(0.577235\pi\)
\(38\) −1.42463 1.35838i −0.231106 0.220359i
\(39\) −0.470252 + 0.188261i −0.0753007 + 0.0301458i
\(40\) −0.163436 0.472219i −0.0258416 0.0746643i
\(41\) 2.79630 1.79707i 0.436708 0.280655i −0.303758 0.952749i \(-0.598241\pi\)
0.740466 + 0.672094i \(0.234605\pi\)
\(42\) 2.12438 + 0.138312i 0.327799 + 0.0213419i
\(43\) −3.30973 0.971823i −0.504728 0.148202i 0.0194487 0.999811i \(-0.493809\pi\)
−0.524177 + 0.851609i \(0.675627\pi\)
\(44\) −2.54533 3.57441i −0.383723 0.538863i
\(45\) 0.0926196 + 0.160422i 0.0138069 + 0.0239143i
\(46\) 2.50630 2.93424i 0.369533 0.432630i
\(47\) 0.525343 0.909920i 0.0766291 0.132726i −0.825164 0.564893i \(-0.808918\pi\)
0.901794 + 0.432167i \(0.142251\pi\)
\(48\) −0.222042 + 0.486204i −0.0320490 + 0.0701775i
\(49\) −1.88620 + 6.74109i −0.269457 + 0.963012i
\(50\) 2.61656 + 3.01967i 0.370037 + 0.427046i
\(51\) 0.0190198 + 0.399275i 0.00266330 + 0.0559096i
\(52\) −0.672737 0.129659i −0.0932918 0.0179805i
\(53\) −0.870080 + 0.348327i −0.119515 + 0.0478464i −0.430649 0.902519i \(-0.641715\pi\)
0.311134 + 0.950366i \(0.399291\pi\)
\(54\) −0.189701 + 0.781959i −0.0258151 + 0.106411i
\(55\) −0.505567 0.324908i −0.0681706 0.0438106i
\(56\) 5.74080 + 4.24059i 0.767147 + 0.566672i
\(57\) 1.01626 + 2.22529i 0.134607 + 0.294747i
\(58\) 3.64633 + 0.348182i 0.478786 + 0.0457186i
\(59\) −4.59067 + 3.61014i −0.597654 + 0.470001i −0.870575 0.492036i \(-0.836253\pi\)
0.272920 + 0.962037i \(0.412010\pi\)
\(60\) −0.0119215 + 0.250262i −0.00153905 + 0.0323087i
\(61\) −2.47549 + 10.2041i −0.316955 + 1.30650i 0.561022 + 0.827801i \(0.310408\pi\)
−0.877977 + 0.478704i \(0.841107\pi\)
\(62\) −0.791256 + 5.50331i −0.100490 + 0.698920i
\(63\) −2.38716 1.14083i −0.300753 0.143731i
\(64\) 3.04387 1.95618i 0.380483 0.244522i
\(65\) −0.0921349 + 0.0177575i −0.0114279 + 0.00220255i
\(66\) −0.615445 2.53690i −0.0757560 0.312271i
\(67\) 4.52816 0.432387i 0.553203 0.0528245i 0.185289 0.982684i \(-0.440678\pi\)
0.367914 + 0.929860i \(0.380072\pi\)
\(68\) −0.270326 + 0.468219i −0.0327819 + 0.0567799i
\(69\) −4.24700 + 2.22777i −0.511279 + 0.268192i
\(70\) 0.381559 + 0.0996317i 0.0456050 + 0.0119083i
\(71\) −5.94178 + 13.0107i −0.705160 + 1.54408i 0.128441 + 0.991717i \(0.459003\pi\)
−0.833601 + 0.552368i \(0.813724\pi\)
\(72\) −1.95235 + 1.86156i −0.230086 + 0.219387i
\(73\) −2.10552 + 6.08350i −0.246432 + 0.712020i 0.752160 + 0.658980i \(0.229012\pi\)
−0.998592 + 0.0530391i \(0.983109\pi\)
\(74\) −5.72820 2.95309i −0.665890 0.343290i
\(75\) −1.62412 4.69258i −0.187537 0.541852i
\(76\) −0.470897 + 3.27516i −0.0540156 + 0.375687i
\(77\) 8.57966 0.259054i 0.977743 0.0295219i
\(78\) −0.342878 0.220354i −0.0388233 0.0249502i
\(79\) 8.29770 + 3.32190i 0.933565 + 0.373743i 0.788049 0.615613i \(-0.211092\pi\)
0.145516 + 0.989356i \(0.453516\pi\)
\(80\) −0.0574323 + 0.0806524i −0.00642113 + 0.00901721i
\(81\) 0.580057 0.814576i 0.0644508 0.0905084i
\(82\) 2.48301 + 0.994047i 0.274203 + 0.109774i
\(83\) −3.39409 2.18125i −0.372549 0.239423i 0.340946 0.940083i \(-0.389253\pi\)
−0.713495 + 0.700660i \(0.752889\pi\)
\(84\) −1.88198 3.04368i −0.205340 0.332092i
\(85\) −0.0105377 + 0.0732915i −0.00114298 + 0.00794958i
\(86\) −0.907800 2.62292i −0.0978906 0.282836i
\(87\) −4.04619 2.08595i −0.433797 0.223638i
\(88\) 2.86243 8.27044i 0.305136 0.881632i
\(89\) −9.06952 + 8.64777i −0.961368 + 0.916662i −0.996573 0.0827180i \(-0.973640\pi\)
0.0352055 + 0.999380i \(0.488791\pi\)
\(90\) −0.0619181 + 0.135582i −0.00652674 + 0.0142916i
\(91\) 0.941574 0.953675i 0.0987037 0.0999723i
\(92\) −6.46146 0.570753i −0.673654 0.0595051i
\(93\) 3.45489 5.98405i 0.358256 0.620517i
\(94\) 0.841596 0.0803627i 0.0868040 0.00828878i
\(95\) 0.106837 + 0.440389i 0.0109613 + 0.0451830i
\(96\) −5.72002 + 1.10244i −0.583797 + 0.112518i
\(97\) −4.84968 + 3.11670i −0.492410 + 0.316453i −0.763174 0.646193i \(-0.776360\pi\)
0.270764 + 0.962646i \(0.412724\pi\)
\(98\) −5.29875 + 1.91002i −0.535254 + 0.192941i
\(99\) −0.461710 + 3.21126i −0.0464036 + 0.322744i
\(100\) 1.58344 6.52703i 0.158344 0.652703i
\(101\) 0.263958 5.54116i 0.0262648 0.551366i −0.946938 0.321417i \(-0.895841\pi\)
0.973203 0.229949i \(-0.0738561\pi\)
\(102\) −0.252824 + 0.198823i −0.0250333 + 0.0196864i
\(103\) −0.841352 0.0803393i −0.0829008 0.00791607i 0.0535232 0.998567i \(-0.482955\pi\)
−0.136424 + 0.990651i \(0.543561\pi\)
\(104\) −0.567637 1.24295i −0.0556614 0.121881i
\(105\) −0.394210 0.291193i −0.0384710 0.0284175i
\(106\) −0.634407 0.407709i −0.0616190 0.0396002i
\(107\) −0.437292 + 1.80254i −0.0422746 + 0.174258i −0.989035 0.147680i \(-0.952819\pi\)
0.946761 + 0.321939i \(0.104334\pi\)
\(108\) 1.25567 0.502693i 0.120827 0.0483717i
\(109\) −3.12838 0.602946i −0.299644 0.0577517i 0.0372132 0.999307i \(-0.488152\pi\)
−0.336858 + 0.941556i \(0.609364\pi\)
\(110\) −0.0230089 0.483016i −0.00219381 0.0460538i
\(111\) 5.24498 + 6.05303i 0.497831 + 0.574528i
\(112\) 0.0246267 1.41396i 0.00232700 0.133606i
\(113\) 0.959661 2.10137i 0.0902773 0.197680i −0.859107 0.511795i \(-0.828981\pi\)
0.949385 + 0.314115i \(0.101708\pi\)
\(114\) −0.984223 + 1.70472i −0.0921809 + 0.159662i
\(115\) −0.850593 + 0.256327i −0.0793182 + 0.0239026i
\(116\) −3.07857 5.33224i −0.285838 0.495086i
\(117\) 0.293820 + 0.412613i 0.0271637 + 0.0381461i
\(118\) −4.50887 1.32393i −0.415076 0.121877i
\(119\) −0.468168 0.948311i −0.0429169 0.0869315i
\(120\) −0.420376 + 0.270159i −0.0383749 + 0.0246620i
\(121\) 0.155235 + 0.448521i 0.0141122 + 0.0407746i
\(122\) −7.84361 + 3.14011i −0.710127 + 0.284292i
\(123\) −2.40567 2.29380i −0.216912 0.206825i
\(124\) 8.30693 4.28252i 0.745984 0.384581i
\(125\) −0.262718 1.82725i −0.0234982 0.163434i
\(126\) −0.366429 2.09711i −0.0326441 0.186825i
\(127\) 2.96349 + 6.48914i 0.262967 + 0.575818i 0.994350 0.106149i \(-0.0338520\pi\)
−0.731383 + 0.681967i \(0.761125\pi\)
\(128\) −8.11318 3.24803i −0.717110 0.287088i
\(129\) −0.164132 + 3.44555i −0.0144510 + 0.303363i
\(130\) −0.0546418 0.0521009i −0.00479240 0.00456955i
\(131\) 7.33095 + 5.76512i 0.640508 + 0.503701i 0.884782 0.466005i \(-0.154307\pi\)
−0.244274 + 0.969706i \(0.578550\pi\)
\(132\) −2.87357 + 3.31628i −0.250112 + 0.288645i
\(133\) −4.81702 4.32311i −0.417688 0.374861i
\(134\) 2.39687 + 2.76613i 0.207058 + 0.238957i
\(135\) 0.134064 0.127830i 0.0115384 0.0110018i
\(136\) −1.07342 + 0.102499i −0.0920452 + 0.00878925i
\(137\) −3.69535 6.40053i −0.315715 0.546834i 0.663874 0.747844i \(-0.268911\pi\)
−0.979589 + 0.201010i \(0.935578\pi\)
\(138\) −3.44241 1.74388i −0.293037 0.148449i
\(139\) −2.72305 −0.230966 −0.115483 0.993309i \(-0.536842\pi\)
−0.115483 + 0.993309i \(0.536842\pi\)
\(140\) −0.235614 0.619596i −0.0199131 0.0523654i
\(141\) −1.00813 0.296012i −0.0848995 0.0249287i
\(142\) −11.3010 + 2.17809i −0.948358 + 0.182781i
\(143\) −1.46067 0.753026i −0.122147 0.0629712i
\(144\) 0.524847 + 0.101156i 0.0437372 + 0.00842966i
\(145\) −0.662841 0.521264i −0.0550460 0.0432886i
\(146\) −4.97010 + 1.45935i −0.411328 + 0.120777i
\(147\) 6.99575 + 0.243762i 0.577000 + 0.0201052i
\(148\) 1.54170 + 10.7227i 0.126727 + 0.881404i
\(149\) −2.98646 0.285172i −0.244660 0.0233622i −0.0279946 0.999608i \(-0.508912\pi\)
−0.216666 + 0.976246i \(0.569518\pi\)
\(150\) 2.31767 3.25471i 0.189237 0.265746i
\(151\) 13.1722 10.3587i 1.07194 0.842983i 0.0837914 0.996483i \(-0.473297\pi\)
0.988149 + 0.153500i \(0.0490546\pi\)
\(152\) −5.86571 + 3.02398i −0.475772 + 0.245277i
\(153\) 0.383536 0.112616i 0.0310070 0.00910448i
\(154\) 4.17424 + 5.50255i 0.336370 + 0.443408i
\(155\) 0.838198 0.967332i 0.0673257 0.0776980i
\(156\) 0.0325992 + 0.684342i 0.00261003 + 0.0547912i
\(157\) −6.56349 + 18.9640i −0.523824 + 1.51349i 0.304095 + 0.952642i \(0.401646\pi\)
−0.827919 + 0.560848i \(0.810475\pi\)
\(158\) 1.69554 + 6.98911i 0.134890 + 0.556024i
\(159\) 0.543638 + 0.763432i 0.0431133 + 0.0605441i
\(160\) −1.07907 −0.0853081
\(161\) 7.94606 9.89243i 0.626237 0.779633i
\(162\) 0.804641 0.0632186
\(163\) 0.229100 + 0.321725i 0.0179445 + 0.0251995i 0.823451 0.567388i \(-0.192046\pi\)
−0.805506 + 0.592587i \(0.798107\pi\)
\(164\) −1.05993 4.36911i −0.0827669 0.341170i
\(165\) −0.196558 + 0.567916i −0.0153020 + 0.0442122i
\(166\) −0.154468 3.24269i −0.0119891 0.251682i
\(167\) 15.3605 17.7270i 1.18863 1.37176i 0.276938 0.960888i \(-0.410680\pi\)
0.911695 0.410868i \(-0.134774\pi\)
\(168\) 2.76761 6.57873i 0.213525 0.507560i
\(169\) 12.2272 3.59024i 0.940556 0.276172i
\(170\) −0.0529566 + 0.0273010i −0.00406159 + 0.00209389i
\(171\) 1.92297 1.51224i 0.147053 0.115644i
\(172\) −2.70630 + 3.80046i −0.206353 + 0.289782i
\(173\) −21.5285 2.05573i −1.63678 0.156294i −0.764274 0.644891i \(-0.776903\pi\)
−0.872509 + 0.488597i \(0.837509\pi\)
\(174\) −0.521287 3.62563i −0.0395187 0.274858i
\(175\) 8.89928 + 9.66484i 0.672722 + 0.730593i
\(176\) −1.66385 + 0.488549i −0.125417 + 0.0368258i
\(177\) 4.59067 + 3.61014i 0.345056 + 0.271355i
\(178\) −9.90119 1.90830i −0.742126 0.143033i
\(179\) −0.913807 0.471100i −0.0683011 0.0352117i 0.423738 0.905785i \(-0.360718\pi\)
−0.492039 + 0.870573i \(0.663748\pi\)
\(180\) 0.246018 0.0474161i 0.0183371 0.00353419i
\(181\) −21.5866 6.33841i −1.60452 0.471130i −0.647722 0.761877i \(-0.724278\pi\)
−0.956800 + 0.290747i \(0.906096\pi\)
\(182\) 1.06455 + 0.172030i 0.0789093 + 0.0127517i
\(183\) 10.5001 0.776190
\(184\) −6.54797 11.1578i −0.482722 0.822563i
\(185\) 0.741819 + 1.28487i 0.0545396 + 0.0944653i
\(186\) 5.53472 0.528502i 0.405825 0.0387516i
\(187\) −0.938559 + 0.894914i −0.0686343 + 0.0654426i
\(188\) −0.930628 1.07400i −0.0678730 0.0783296i
\(189\) −0.545877 + 2.58883i −0.0397067 + 0.188309i
\(190\) −0.238784 + 0.275572i −0.0173232 + 0.0199921i
\(191\) 13.8214 + 10.8692i 1.00008 + 0.786470i 0.976995 0.213263i \(-0.0684092\pi\)
0.0230836 + 0.999734i \(0.492652\pi\)
\(192\) −2.61865 2.49688i −0.188985 0.180197i
\(193\) 0.985785 20.6942i 0.0709584 1.48960i −0.630110 0.776506i \(-0.716990\pi\)
0.701069 0.713094i \(-0.252707\pi\)
\(194\) −4.30634 1.72400i −0.309177 0.123776i
\(195\) 0.0389786 + 0.0853512i 0.00279132 + 0.00611213i
\(196\) 7.78180 + 5.39298i 0.555843 + 0.385213i
\(197\) 2.34151 + 16.2856i 0.166826 + 1.16030i 0.885393 + 0.464842i \(0.153889\pi\)
−0.718567 + 0.695457i \(0.755202\pi\)
\(198\) −2.32029 + 1.19619i −0.164896 + 0.0850097i
\(199\) 16.7833 + 16.0028i 1.18974 + 1.13441i 0.987916 + 0.154989i \(0.0495343\pi\)
0.201821 + 0.979422i \(0.435314\pi\)
\(200\) 12.4359 4.97858i 0.879351 0.352039i
\(201\) −1.48775 4.29858i −0.104938 0.303199i
\(202\) 3.75511 2.41326i 0.264208 0.169796i
\(203\) 12.0186 + 0.782494i 0.843543 + 0.0549203i
\(204\) 0.518752 + 0.152319i 0.0363199 + 0.0106645i
\(205\) −0.357158 0.501558i −0.0249450 0.0350303i
\(206\) −0.340033 0.588954i −0.0236912 0.0410344i
\(207\) 3.16624 + 3.60207i 0.220069 + 0.250361i
\(208\) −0.135373 + 0.234474i −0.00938646 + 0.0162578i
\(209\) −3.29703 + 7.21948i −0.228060 + 0.499382i
\(210\) 0.00686733 0.394292i 0.000473891 0.0272088i
\(211\) −13.6179 15.7159i −0.937493 1.08192i −0.996494 0.0836665i \(-0.973337\pi\)
0.0590010 0.998258i \(-0.481208\pi\)
\(212\) 0.0603164 + 1.26620i 0.00414254 + 0.0869627i
\(213\) 14.0448 + 2.70691i 0.962332 + 0.185474i
\(214\) −1.38556 + 0.554695i −0.0947150 + 0.0379181i
\(215\) −0.150644 + 0.620963i −0.0102738 + 0.0423493i
\(216\) 2.26937 + 1.45843i 0.154411 + 0.0992338i
\(217\) −2.05443 + 18.1658i −0.139464 + 1.23317i
\(218\) −1.06494 2.33189i −0.0721266 0.157935i
\(219\) 6.40841 + 0.611929i 0.433040 + 0.0413503i
\(220\) −0.638937 + 0.502466i −0.0430771 + 0.0338762i
\(221\) −0.00963423 + 0.202247i −0.000648068 + 0.0136046i
\(222\) −1.51937 + 6.26295i −0.101974 + 0.420342i
\(223\) 2.06205 14.3418i 0.138085 0.960401i −0.796494 0.604646i \(-0.793315\pi\)
0.934579 0.355755i \(-0.115776\pi\)
\(224\) 12.7082 8.72001i 0.849105 0.582630i
\(225\) −4.17740 + 2.68465i −0.278493 + 0.178977i
\(226\) 1.82523 0.351784i 0.121413 0.0234004i
\(227\) −0.0442448 0.182380i −0.00293663 0.0121050i 0.970324 0.241807i \(-0.0777400\pi\)
−0.973261 + 0.229702i \(0.926225\pi\)
\(228\) 3.29386 0.314525i 0.218141 0.0208299i
\(229\) 2.19499 3.80183i 0.145049 0.251232i −0.784342 0.620328i \(-0.786999\pi\)
0.929391 + 0.369096i \(0.120333\pi\)
\(230\) −0.565011 0.437876i −0.0372557 0.0288727i
\(231\) −2.27448 8.27674i −0.149650 0.544569i
\(232\) 5.10134 11.1704i 0.334920 0.733372i
\(233\) −9.86259 + 9.40396i −0.646120 + 0.616074i −0.940573 0.339592i \(-0.889711\pi\)
0.294453 + 0.955666i \(0.404862\pi\)
\(234\) −0.133306 + 0.385164i −0.00871451 + 0.0251789i
\(235\) −0.172992 0.0891838i −0.0112848 0.00581771i
\(236\) 2.58355 + 7.46467i 0.168175 + 0.485909i
\(237\) 1.27200 8.84697i 0.0826255 0.574673i
\(238\) 0.403050 0.749469i 0.0261259 0.0485808i
\(239\) 17.0253 + 10.9415i 1.10127 + 0.707746i 0.959375 0.282135i \(-0.0910426\pi\)
0.141900 + 0.989881i \(0.454679\pi\)
\(240\) 0.0919191 + 0.0367989i 0.00593335 + 0.00237536i
\(241\) −6.61892 + 9.29498i −0.426362 + 0.598742i −0.970750 0.240091i \(-0.922823\pi\)
0.544388 + 0.838834i \(0.316762\pi\)
\(242\) −0.221525 + 0.311089i −0.0142402 + 0.0199975i
\(243\) −0.928368 0.371662i −0.0595548 0.0238422i
\(244\) 11.9474 + 7.67816i 0.764857 + 0.491544i
\(245\) 1.26392 + 0.289587i 0.0807492 + 0.0185010i
\(246\) 0.380635 2.64737i 0.0242684 0.168790i
\(247\) 0.405294 + 1.17102i 0.0257882 + 0.0745102i
\(248\) 16.5678 + 8.54127i 1.05205 + 0.542371i
\(249\) −1.31957 + 3.81266i −0.0836246 + 0.241617i
\(250\) 1.07503 1.02504i 0.0679910 0.0648293i
\(251\) 6.74411 14.7675i 0.425685 0.932119i −0.568323 0.822806i \(-0.692407\pi\)
0.994007 0.109313i \(-0.0348652\pi\)
\(252\) −2.51419 + 2.54650i −0.158379 + 0.160414i
\(253\) −14.4852 5.68006i −0.910676 0.357102i
\(254\) −2.87008 + 4.97112i −0.180085 + 0.311916i
\(255\) 0.0737099 0.00703845i 0.00461590 0.000440765i
\(256\) −3.36390 13.8662i −0.210244 0.866638i
\(257\) −30.2835 + 5.83667i −1.88903 + 0.364081i −0.996259 0.0864226i \(-0.972456\pi\)
−0.892774 + 0.450504i \(0.851244\pi\)
\(258\) −2.33496 + 1.50059i −0.145368 + 0.0934225i
\(259\) −19.1194 9.13724i −1.18802 0.567760i
\(260\) −0.0180613 + 0.125619i −0.00112011 + 0.00779056i
\(261\) −1.07323 + 4.42391i −0.0664313 + 0.273833i
\(262\) −0.357069 + 7.49580i −0.0220598 + 0.463092i
\(263\) −4.98879 + 3.92323i −0.307622 + 0.241916i −0.760020 0.649900i \(-0.774811\pi\)
0.452398 + 0.891816i \(0.350569\pi\)
\(264\) −8.71215 0.831910i −0.536196 0.0512005i
\(265\) 0.0721197 + 0.157920i 0.00443028 + 0.00970096i
\(266\) 0.585261 5.17503i 0.0358847 0.317301i
\(267\) 10.5422 + 6.77508i 0.645174 + 0.414628i
\(268\) 1.45049 5.97901i 0.0886029 0.365226i
\(269\) 23.7590 9.51167i 1.44861 0.579937i 0.491817 0.870699i \(-0.336333\pi\)
0.956795 + 0.290762i \(0.0939088\pi\)
\(270\) 0.146358 + 0.0282081i 0.00890704 + 0.00171669i
\(271\) −0.251733 5.28452i −0.0152917 0.321012i −0.993533 0.113542i \(-0.963780\pi\)
0.978242 0.207469i \(-0.0665227\pi\)
\(272\) 0.139915 + 0.161471i 0.00848362 + 0.00979061i
\(273\) −1.14878 0.690195i −0.0695271 0.0417725i
\(274\) 2.47041 5.40945i 0.149243 0.326797i
\(275\) 8.05505 13.9518i 0.485738 0.841322i
\(276\) 0.968682 + 6.41388i 0.0583078 + 0.386070i
\(277\) 6.69100 + 11.5892i 0.402023 + 0.696325i 0.993970 0.109652i \(-0.0349737\pi\)
−0.591947 + 0.805977i \(0.701640\pi\)
\(278\) −1.27095 1.78480i −0.0762266 0.107045i
\(279\) −6.62989 1.94671i −0.396921 0.116547i
\(280\) 0.734034 1.09959i 0.0438669 0.0657133i
\(281\) −7.10324 + 4.56498i −0.423744 + 0.272324i −0.735086 0.677974i \(-0.762858\pi\)
0.311342 + 0.950298i \(0.399222\pi\)
\(282\) −0.276511 0.798927i −0.0164660 0.0475754i
\(283\) −2.62232 + 1.04982i −0.155881 + 0.0624053i −0.448291 0.893888i \(-0.647967\pi\)
0.292410 + 0.956293i \(0.405543\pi\)
\(284\) 14.0013 + 13.3502i 0.830824 + 0.792189i
\(285\) 0.402787 0.207651i 0.0238591 0.0123002i
\(286\) −0.188184 1.30885i −0.0111275 0.0773937i
\(287\) 8.25935 + 3.02065i 0.487534 + 0.178303i
\(288\) 2.41991 + 5.29887i 0.142595 + 0.312239i
\(289\) −15.6339 6.25888i −0.919642 0.368169i
\(290\) 0.0322851 0.677747i 0.00189584 0.0397987i
\(291\) 4.17220 + 3.97818i 0.244579 + 0.233205i
\(292\) 6.84427 + 5.38240i 0.400531 + 0.314981i
\(293\) 16.7557 19.3371i 0.978877 1.12968i −0.0126677 0.999920i \(-0.504032\pi\)
0.991545 0.129765i \(-0.0414222\pi\)
\(294\) 3.10541 + 4.69908i 0.181111 + 0.274056i
\(295\) 0.708445 + 0.817589i 0.0412473 + 0.0476019i
\(296\) −15.6369 + 14.9098i −0.908878 + 0.866613i
\(297\) 3.22959 0.308389i 0.187400 0.0178945i
\(298\) −1.20698 2.09055i −0.0699184 0.121102i
\(299\) −2.24879 + 0.918848i −0.130051 + 0.0531384i
\(300\) −6.71635 −0.387769
\(301\) −3.24388 8.53044i −0.186974 0.491686i
\(302\) 12.9375 + 3.79880i 0.744470 + 0.218596i
\(303\) −5.44720 + 1.04986i −0.312933 + 0.0603129i
\(304\) 1.16224 + 0.599176i 0.0666589 + 0.0343651i
\(305\) 1.90988 + 0.368100i 0.109360 + 0.0210773i
\(306\) 0.252824 + 0.198823i 0.0144530 + 0.0113659i
\(307\) −9.85405 + 2.89341i −0.562400 + 0.165136i −0.550562 0.834794i \(-0.685587\pi\)
−0.0118383 + 0.999930i \(0.503768\pi\)
\(308\) 3.46433 11.0808i 0.197398 0.631388i
\(309\) 0.120281 + 0.836576i 0.00684257 + 0.0475911i
\(310\) 1.02525 + 0.0978993i 0.0582302 + 0.00556031i
\(311\) 8.47341 11.8992i 0.480483 0.674744i −0.501186 0.865340i \(-0.667103\pi\)
0.981669 + 0.190596i \(0.0610420\pi\)
\(312\) −1.07409 + 0.844674i −0.0608084 + 0.0478202i
\(313\) 24.5029 12.6321i 1.38498 0.714009i 0.405230 0.914215i \(-0.367191\pi\)
0.979754 + 0.200206i \(0.0641612\pi\)
\(314\) −15.4932 + 4.54921i −0.874332 + 0.256727i
\(315\) −0.190046 + 0.451749i −0.0107079 + 0.0254532i
\(316\) 7.91664 9.13629i 0.445346 0.513957i
\(317\) −0.476096 9.99448i −0.0267402 0.561346i −0.971993 0.235008i \(-0.924488\pi\)
0.945253 0.326338i \(-0.105815\pi\)
\(318\) −0.246649 + 0.712645i −0.0138314 + 0.0399631i
\(319\) −3.48186 14.3524i −0.194947 0.803582i
\(320\) −0.388779 0.545963i −0.0217334 0.0305203i
\(321\) 1.85483 0.103526
\(322\) 10.1926 + 0.591003i 0.568013 + 0.0329353i
\(323\) 0.977879 0.0544107
\(324\) −0.784558 1.10176i −0.0435865 0.0612087i
\(325\) −0.593005 2.44440i −0.0328940 0.135591i
\(326\) −0.103943 + 0.300323i −0.00575685 + 0.0166333i
\(327\) 0.151594 + 3.18234i 0.00838315 + 0.175984i
\(328\) 5.87196 6.77660i 0.324225 0.374175i
\(329\) 2.75803 0.347638i 0.152055 0.0191659i
\(330\) −0.463976 + 0.136236i −0.0255411 + 0.00749953i
\(331\) 19.8980 10.2581i 1.09369 0.563838i 0.185609 0.982624i \(-0.440574\pi\)
0.908085 + 0.418785i \(0.137544\pi\)
\(332\) −4.28945 + 3.37326i −0.235414 + 0.185132i
\(333\) 4.64585 6.52418i 0.254591 0.357523i
\(334\) 18.7883 + 1.79407i 1.02805 + 0.0981670i
\(335\) −0.119916 0.834032i −0.00655170 0.0455680i
\(336\) −1.37990 + 0.309420i −0.0752799 + 0.0168803i
\(337\) −13.3266 + 3.91304i −0.725945 + 0.213157i −0.623768 0.781610i \(-0.714399\pi\)
−0.102177 + 0.994766i \(0.532581\pi\)
\(338\) 8.06009 + 6.33853i 0.438411 + 0.344770i
\(339\) −2.26838 0.437194i −0.123201 0.0237451i
\(340\) 0.0890169 + 0.0458914i 0.00482762 + 0.00248881i
\(341\) 22.0122 4.24250i 1.19203 0.229744i
\(342\) 1.88871 + 0.554575i 0.102130 + 0.0299880i
\(343\) −17.2254 + 6.80334i −0.930084 + 0.367346i
\(344\) −9.30525 −0.501705
\(345\) 0.449637 + 0.766185i 0.0242076 + 0.0412500i
\(346\) −8.70077 15.0702i −0.467756 0.810177i
\(347\) −28.4612 + 2.71771i −1.52788 + 0.145894i −0.824883 0.565303i \(-0.808759\pi\)
−0.702992 + 0.711198i \(0.748153\pi\)
\(348\) −4.45613 + 4.24891i −0.238874 + 0.227766i
\(349\) −17.4425 20.1297i −0.933675 1.07752i −0.996834 0.0795153i \(-0.974663\pi\)
0.0631583 0.998004i \(-0.479883\pi\)
\(350\) −2.18110 + 10.3439i −0.116585 + 0.552905i
\(351\) 0.331711 0.382815i 0.0177054 0.0204331i
\(352\) −14.8555 11.6825i −0.791802 0.622680i
\(353\) −7.16415 6.83101i −0.381309 0.363578i 0.475049 0.879959i \(-0.342430\pi\)
−0.856359 + 0.516381i \(0.827279\pi\)
\(354\) −0.223598 + 4.69390i −0.0118841 + 0.249478i
\(355\) 2.45973 + 0.984728i 0.130549 + 0.0522639i
\(356\) 7.04112 + 15.4179i 0.373179 + 0.817148i
\(357\) −0.811204 + 0.678544i −0.0429335 + 0.0359123i
\(358\) −0.117729 0.818826i −0.00622220 0.0432763i
\(359\) 16.0258 8.26186i 0.845808 0.436044i 0.0198681 0.999803i \(-0.493675\pi\)
0.825940 + 0.563758i \(0.190645\pi\)
\(360\) 0.361651 + 0.344834i 0.0190607 + 0.0181743i
\(361\) −12.0830 + 4.83730i −0.635947 + 0.254595i
\(362\) −5.92084 17.1071i −0.311192 0.899131i
\(363\) 0.399280 0.256602i 0.0209568 0.0134681i
\(364\) −0.802422 1.62537i −0.0420583 0.0851925i
\(365\) 1.14418 + 0.335963i 0.0598894 + 0.0175851i
\(366\) 4.90079 + 6.88220i 0.256169 + 0.359738i
\(367\) −6.27091 10.8615i −0.327339 0.566968i 0.654644 0.755937i \(-0.272819\pi\)
−0.981983 + 0.188970i \(0.939485\pi\)
\(368\) −1.04830 + 2.33925i −0.0546465 + 0.121942i
\(369\) −1.66198 + 2.87864i −0.0865193 + 0.149856i
\(370\) −0.495920 + 1.08591i −0.0257817 + 0.0564540i
\(371\) −2.12551 1.27703i −0.110351 0.0662999i
\(372\) −6.12023 7.06312i −0.317319 0.366206i
\(373\) 1.48617 + 31.1984i 0.0769507 + 1.61539i 0.626150 + 0.779703i \(0.284630\pi\)
−0.549199 + 0.835691i \(0.685067\pi\)
\(374\) −1.02462 0.197480i −0.0529821 0.0102115i
\(375\) −1.71380 + 0.686102i −0.0885003 + 0.0354302i
\(376\) 0.668219 2.75444i 0.0344608 0.142049i
\(377\) −1.93982 1.24665i −0.0999061 0.0642057i
\(378\) −1.95160 + 0.850512i −0.100380 + 0.0437456i
\(379\) −8.61388 18.8618i −0.442465 0.968864i −0.991139 0.132827i \(-0.957594\pi\)
0.548674 0.836036i \(-0.315133\pi\)
\(380\) 0.610152 + 0.0582624i 0.0313001 + 0.00298880i
\(381\) 5.60755 4.40983i 0.287284 0.225922i
\(382\) −0.673198 + 14.1322i −0.0344438 + 0.723065i
\(383\) 0.285585 1.17720i 0.0145927 0.0601519i −0.964050 0.265722i \(-0.914390\pi\)
0.978642 + 0.205570i \(0.0659048\pi\)
\(384\) −1.24372 + 8.65023i −0.0634681 + 0.441430i
\(385\) −0.123554 1.58521i −0.00629690 0.0807896i
\(386\) 14.0239 9.01262i 0.713799 0.458730i
\(387\) 3.38712 0.652813i 0.172177 0.0331844i
\(388\) 1.83827 + 7.57744i 0.0933239 + 0.384686i
\(389\) −21.3242 + 2.03622i −1.08118 + 0.103240i −0.620409 0.784278i \(-0.713033\pi\)
−0.460772 + 0.887519i \(0.652427\pi\)
\(390\) −0.0377499 + 0.0653848i −0.00191154 + 0.00331089i
\(391\) 0.104802 + 1.91416i 0.00530007 + 0.0968032i
\(392\) 0.241126 + 18.8817i 0.0121787 + 0.953668i
\(393\) 3.87428 8.48348i 0.195431 0.427935i
\(394\) −9.58137 + 9.13582i −0.482702 + 0.460256i
\(395\) 0.541513 1.56460i 0.0272465 0.0787235i
\(396\) 3.90027 + 2.01073i 0.195996 + 0.101043i
\(397\) −8.92714 25.7933i −0.448040 1.29453i −0.912552 0.408961i \(-0.865891\pi\)
0.464512 0.885567i \(-0.346230\pi\)
\(398\) −2.65553 + 18.4696i −0.133110 + 0.925797i
\(399\) −3.06559 + 5.70044i −0.153472 + 0.285379i
\(400\) −2.23285 1.43496i −0.111642 0.0717481i
\(401\) 37.1360 + 14.8670i 1.85448 + 0.742424i 0.945538 + 0.325513i \(0.105537\pi\)
0.908947 + 0.416911i \(0.136887\pi\)
\(402\) 2.12308 2.98144i 0.105889 0.148701i
\(403\) 2.03023 2.85107i 0.101133 0.142022i
\(404\) −6.96574 2.78866i −0.346559 0.138741i
\(405\) −0.155833 0.100148i −0.00774341 0.00497639i
\(406\) 5.09667 + 8.24273i 0.252943 + 0.409080i
\(407\) −3.69797 + 25.7200i −0.183302 + 1.27489i
\(408\) 0.352679 + 1.01900i 0.0174602 + 0.0504480i
\(409\) −32.6332 16.8236i −1.61361 0.831874i −0.999076 0.0429837i \(-0.986314\pi\)
−0.614534 0.788890i \(-0.710656\pi\)
\(410\) 0.162043 0.468192i 0.00800272 0.0231223i
\(411\) −5.34890 + 5.10016i −0.263842 + 0.251573i
\(412\) −0.474881 + 1.03984i −0.0233957 + 0.0512295i
\(413\) −14.9503 3.90379i −0.735657 0.192093i
\(414\) −0.883140 + 3.75651i −0.0434040 + 0.184622i
\(415\) −0.373679 + 0.647231i −0.0183432 + 0.0317713i
\(416\) −2.93736 + 0.280484i −0.144016 + 0.0137519i
\(417\) 0.641984 + 2.64629i 0.0314381 + 0.129590i
\(418\) −6.27079 + 1.20860i −0.306714 + 0.0591143i
\(419\) 11.9689 7.69195i 0.584719 0.375776i −0.214583 0.976706i \(-0.568839\pi\)
0.799302 + 0.600930i \(0.205203\pi\)
\(420\) −0.546582 + 0.375048i −0.0266705 + 0.0183005i
\(421\) 1.33432 9.28037i 0.0650306 0.452298i −0.931125 0.364699i \(-0.881172\pi\)
0.996156 0.0875982i \(-0.0279192\pi\)
\(422\) 3.94485 16.2609i 0.192032 0.791568i
\(423\) −0.0499936 + 1.04950i −0.00243077 + 0.0510282i
\(424\) −1.98732 + 1.56285i −0.0965130 + 0.0758986i
\(425\) −1.97593 0.188679i −0.0958468 0.00915226i
\(426\) 4.78100 + 10.4689i 0.231640 + 0.507221i
\(427\) −25.4673 + 11.0987i −1.23245 + 0.537104i
\(428\) 2.11050 + 1.35633i 0.102015 + 0.0655608i
\(429\) −0.387434 + 1.59703i −0.0187055 + 0.0771051i
\(430\) −0.477315 + 0.191088i −0.0230182 + 0.00921510i
\(431\) −15.2389 2.93706i −0.734033 0.141473i −0.191482 0.981496i \(-0.561329\pi\)
−0.542551 + 0.840023i \(0.682541\pi\)
\(432\) −0.0254328 0.533901i −0.00122364 0.0256873i
\(433\) 20.9542 + 24.1824i 1.00699 + 1.16213i 0.986735 + 0.162336i \(0.0519030\pi\)
0.0202570 + 0.999795i \(0.493552\pi\)
\(434\) −12.8655 + 7.13209i −0.617563 + 0.342351i
\(435\) −0.350300 + 0.767050i −0.0167956 + 0.0367772i
\(436\) −2.15459 + 3.73185i −0.103186 + 0.178723i
\(437\) 4.94941 + 10.6373i 0.236762 + 0.508850i
\(438\) 2.58996 + 4.48594i 0.123753 + 0.214347i
\(439\) 15.6152 + 21.9285i 0.745275 + 1.04659i 0.996893 + 0.0787652i \(0.0250978\pi\)
−0.251619 + 0.967826i \(0.580963\pi\)
\(440\) −1.55551 0.456737i −0.0741558 0.0217741i
\(441\) −1.41242 6.85602i −0.0672581 0.326477i
\(442\) −0.137058 + 0.0880817i −0.00651918 + 0.00418962i
\(443\) 0.125170 + 0.361656i 0.00594702 + 0.0171828i 0.947935 0.318463i \(-0.103167\pi\)
−0.941988 + 0.335646i \(0.891045\pi\)
\(444\) 10.0570 4.02622i 0.477285 0.191076i
\(445\) 1.68003 + 1.60191i 0.0796411 + 0.0759377i
\(446\) 10.3627 5.34233i 0.490687 0.252967i
\(447\) 0.426951 + 2.96951i 0.0201941 + 0.140453i
\(448\) 8.99059 + 3.28808i 0.424766 + 0.155347i
\(449\) −5.43346 11.8976i −0.256421 0.561483i 0.737015 0.675877i \(-0.236235\pi\)
−0.993436 + 0.114393i \(0.963508\pi\)
\(450\) −3.70938 1.48501i −0.174862 0.0700042i
\(451\) 0.513118 10.7717i 0.0241618 0.507218i
\(452\) −2.26136 2.15620i −0.106365 0.101419i
\(453\) −13.1722 10.3587i −0.618885 0.486696i
\(454\) 0.0988884 0.114123i 0.00464106 0.00535607i
\(455\) −0.184757 0.165813i −0.00866154 0.00777344i
\(456\) 4.32163 + 4.98743i 0.202379 + 0.233558i
\(457\) −20.5197 + 19.5655i −0.959873 + 0.915237i −0.996458 0.0840937i \(-0.973200\pi\)
0.0365851 + 0.999331i \(0.488352\pi\)
\(458\) 3.51636 0.335772i 0.164309 0.0156896i
\(459\) −0.199864 0.346174i −0.00932884 0.0161580i
\(460\) −0.0486546 + 1.20059i −0.00226853 + 0.0559778i
\(461\) −13.5809 −0.632527 −0.316263 0.948671i \(-0.602428\pi\)
−0.316263 + 0.948671i \(0.602428\pi\)
\(462\) 4.36333 5.35385i 0.203000 0.249084i
\(463\) −10.8023 3.17183i −0.502023 0.147407i 0.0209092 0.999781i \(-0.493344\pi\)
−0.522933 + 0.852374i \(0.675162\pi\)
\(464\) −2.38923 + 0.460486i −0.110917 + 0.0213775i
\(465\) −1.13768 0.586513i −0.0527585 0.0271989i
\(466\) −10.7670 2.07517i −0.498771 0.0961302i
\(467\) 17.4578 + 13.7290i 0.807850 + 0.635300i 0.934226 0.356682i \(-0.116092\pi\)
−0.126376 + 0.991982i \(0.540334\pi\)
\(468\) 0.657366 0.193020i 0.0303867 0.00892235i
\(469\) 8.15208 + 8.85336i 0.376428 + 0.408810i
\(470\) −0.0222873 0.155012i −0.00102804 0.00715016i
\(471\) 19.9768 + 1.90755i 0.920483 + 0.0878954i
\(472\) −9.13845 + 12.8332i −0.420631 + 0.590694i
\(473\) −8.79672 + 6.91782i −0.404474 + 0.318082i
\(474\) 6.39236 3.29549i 0.293611 0.151367i
\(475\) −11.6558 + 3.42245i −0.534805 + 0.157033i
\(476\) −1.41920 + 0.178885i −0.0650491 + 0.00819916i
\(477\) 0.613745 0.708299i 0.0281014 0.0324308i
\(478\) 0.774839 + 16.2659i 0.0354403 + 0.743984i
\(479\) 0.720285 2.08113i 0.0329107 0.0950891i −0.927349 0.374198i \(-0.877918\pi\)
0.960259 + 0.279109i \(0.0900391\pi\)
\(480\) 0.254401 + 1.04865i 0.0116118 + 0.0478643i
\(481\) 2.35329 + 3.30474i 0.107301 + 0.150683i
\(482\) −9.18161 −0.418211
\(483\) −11.4869 5.38984i −0.522674 0.245246i
\(484\) 0.641955 0.0291798
\(485\) 0.619426 + 0.869863i 0.0281267 + 0.0394984i
\(486\) −0.189701 0.781959i −0.00860502 0.0354704i
\(487\) 2.20311 6.36548i 0.0998326 0.288447i −0.884014 0.467460i \(-0.845169\pi\)
0.983847 + 0.179013i \(0.0572904\pi\)
\(488\) 1.34776 + 28.2930i 0.0610104 + 1.28076i
\(489\) 0.258644 0.298491i 0.0116963 0.0134982i
\(490\) 0.400114 + 0.963589i 0.0180753 + 0.0435305i
\(491\) 31.6732 9.30009i 1.42939 0.419707i 0.526720 0.850039i \(-0.323421\pi\)
0.902671 + 0.430331i \(0.141603\pi\)
\(492\) −3.99606 + 2.06011i −0.180156 + 0.0928770i
\(493\) −1.43034 + 1.12483i −0.0644195 + 0.0506600i
\(494\) −0.578369 + 0.812206i −0.0260220 + 0.0365429i
\(495\) 0.598247 + 0.0571257i 0.0268892 + 0.00256761i
\(496\) −0.525615 3.65573i −0.0236008 0.164147i
\(497\) −36.9259 + 8.28001i −1.65635 + 0.371409i
\(498\) −3.11487 + 0.914608i −0.139581 + 0.0409846i
\(499\) 10.7111 + 8.42327i 0.479493 + 0.377077i 0.828451 0.560061i \(-0.189222\pi\)
−0.348959 + 0.937138i \(0.613465\pi\)
\(500\) −2.45174 0.472534i −0.109645 0.0211324i
\(501\) −20.8487 10.7482i −0.931450 0.480196i
\(502\) 12.8270 2.47220i 0.572496 0.110340i
\(503\) −5.26545 1.54607i −0.234775 0.0689361i 0.162229 0.986753i \(-0.448132\pi\)
−0.397003 + 0.917817i \(0.629950\pi\)
\(504\) −7.04578 1.13860i −0.313844 0.0507171i
\(505\) −1.02760 −0.0457278
\(506\) −3.03783 12.1453i −0.135048 0.539924i
\(507\) −6.37171 11.0361i −0.282978 0.490132i
\(508\) 9.60516 0.917182i 0.426160 0.0406934i
\(509\) 5.21177 4.96942i 0.231008 0.220265i −0.565730 0.824590i \(-0.691406\pi\)
0.796738 + 0.604325i \(0.206557\pi\)
\(510\) 0.0390165 + 0.0450274i 0.00172768 + 0.00199385i
\(511\) −16.1900 + 5.28955i −0.716203 + 0.233996i
\(512\) −3.92747 + 4.53255i −0.173571 + 0.200312i
\(513\) −1.92297 1.51224i −0.0849013 0.0667671i
\(514\) −17.9600 17.1249i −0.792183 0.755345i
\(515\) −0.00744944 + 0.156383i −0.000328261 + 0.00689106i
\(516\) 4.33136 + 1.73402i 0.190678 + 0.0763358i
\(517\) −1.41603 3.10068i −0.0622771 0.136368i
\(518\) −2.93484 16.7964i −0.128950 0.737990i
\(519\) 3.07777 + 21.4063i 0.135099 + 0.939634i
\(520\) −0.224980 + 0.115985i −0.00986601 + 0.00508628i
\(521\) −10.2489 9.77232i −0.449013 0.428133i 0.431531 0.902098i \(-0.357974\pi\)
−0.880543 + 0.473965i \(0.842822\pi\)
\(522\) −3.40053 + 1.36137i −0.148837 + 0.0595854i
\(523\) −5.57305 16.1023i −0.243692 0.704103i −0.998822 0.0485272i \(-0.984547\pi\)
0.755129 0.655576i \(-0.227574\pi\)
\(524\) 10.6118 6.81980i 0.463579 0.297924i
\(525\) 7.29431 10.9270i 0.318350 0.476893i
\(526\) −4.89990 1.43874i −0.213646 0.0627320i
\(527\) −1.60214 2.24988i −0.0697901 0.0980065i
\(528\) 0.867044 + 1.50176i 0.0377333 + 0.0653559i
\(529\) −20.2916 + 10.8283i −0.882243 + 0.470795i
\(530\) −0.0698464 + 0.120978i −0.00303393 + 0.00525493i
\(531\) 2.42609 5.31239i 0.105283 0.230538i
\(532\) −7.65658 + 4.24449i −0.331955 + 0.184022i
\(533\) −1.10260 1.27246i −0.0477587 0.0551165i
\(534\) 0.479788 + 10.0720i 0.0207625 + 0.435858i
\(535\) 0.337378 + 0.0650242i 0.0145861 + 0.00281124i
\(536\) 11.3918 4.56057i 0.492049 0.196987i
\(537\) −0.242382 + 0.999114i −0.0104596 + 0.0431149i
\(538\) 17.3236 + 11.1332i 0.746872 + 0.479985i
\(539\) 14.2652 + 17.6705i 0.614445 + 0.761124i
\(540\) −0.104081 0.227905i −0.00447891 0.00980745i
\(541\) −1.79032 0.170954i −0.0769717 0.00734991i 0.0564991 0.998403i \(-0.482006\pi\)
−0.133471 + 0.991053i \(0.542612\pi\)
\(542\) 3.34620 2.63148i 0.143731 0.113032i
\(543\) −1.07050 + 22.4725i −0.0459394 + 0.964386i
\(544\) −0.548971 + 2.26289i −0.0235369 + 0.0970206i
\(545\) −0.0839890 + 0.584157i −0.00359770 + 0.0250225i
\(546\) −0.0837950 1.07510i −0.00358609 0.0460098i
\(547\) −1.58686 + 1.01981i −0.0678493 + 0.0436041i −0.574126 0.818767i \(-0.694658\pi\)
0.506276 + 0.862371i \(0.331022\pi\)
\(548\) −9.81566 + 1.89181i −0.419304 + 0.0808143i
\(549\) −2.47549 10.2041i −0.105652 0.435502i
\(550\) 12.9041 1.23220i 0.550235 0.0525410i
\(551\) −5.56822 + 9.64443i −0.237214 + 0.410867i
\(552\) −9.29953 + 8.99394i −0.395814 + 0.382807i
\(553\) 6.26616 + 22.8023i 0.266464 + 0.969651i
\(554\) −4.47307 + 9.79465i −0.190042 + 0.416135i
\(555\) 1.07376 1.02383i 0.0455785 0.0434590i
\(556\) −1.20462 + 3.48051i −0.0510871 + 0.147606i
\(557\) 14.6876 + 7.57197i 0.622333 + 0.320835i 0.740396 0.672171i \(-0.234638\pi\)
−0.118063 + 0.993006i \(0.537668\pi\)
\(558\) −1.81846 5.25411i −0.0769817 0.222424i
\(559\) −0.248663 + 1.72949i −0.0105173 + 0.0731496i
\(560\) −0.261840 + 0.00790600i −0.0110648 + 0.000334090i
\(561\) 1.09096 + 0.701119i 0.0460605 + 0.0296013i
\(562\) −6.30742 2.52511i −0.266063 0.106515i
\(563\) −9.71166 + 13.6381i −0.409298 + 0.574778i −0.966844 0.255368i \(-0.917803\pi\)
0.557546 + 0.830146i \(0.311743\pi\)
\(564\) −0.824323 + 1.15760i −0.0347103 + 0.0487438i
\(565\) −0.397273 0.159044i −0.0167134 0.00669104i
\(566\) −1.91203 1.22879i −0.0803687 0.0516498i
\(567\) 2.64455 0.0798493i 0.111060 0.00335336i
\(568\) −5.49114 + 38.1917i −0.230403 + 1.60249i
\(569\) −0.214664 0.620232i −0.00899920 0.0260015i 0.940412 0.340038i \(-0.110440\pi\)
−0.949411 + 0.314036i \(0.898319\pi\)
\(570\) 0.324099 + 0.167085i 0.0135750 + 0.00699841i
\(571\) −2.46933 + 7.13467i −0.103338 + 0.298577i −0.984803 0.173673i \(-0.944437\pi\)
0.881465 + 0.472249i \(0.156558\pi\)
\(572\) −1.60866 + 1.53385i −0.0672613 + 0.0641335i
\(573\) 7.30434 15.9943i 0.305143 0.668170i
\(574\) 1.87509 + 6.82337i 0.0782648 + 0.284802i
\(575\) −7.94850 22.4490i −0.331475 0.936187i
\(576\) −1.80913 + 3.13350i −0.0753803 + 0.130562i
\(577\) 9.08921 0.867914i 0.378389 0.0361317i 0.0958708 0.995394i \(-0.469436\pi\)
0.282518 + 0.959262i \(0.408830\pi\)
\(578\) −3.19461 13.1684i −0.132878 0.547732i
\(579\) −20.3432 + 3.92084i −0.845436 + 0.162945i
\(580\) −0.959487 + 0.616625i −0.0398405 + 0.0256039i
\(581\) −0.829470 10.6422i −0.0344122 0.441511i
\(582\) −0.660144 + 4.59140i −0.0273638 + 0.190320i
\(583\) −0.716846 + 2.95488i −0.0296887 + 0.122379i
\(584\) −0.826306 + 17.3463i −0.0341928 + 0.717795i
\(585\) 0.0737558 0.0580022i 0.00304943 0.00239809i
\(586\) 20.4948 + 1.95702i 0.846633 + 0.0808437i
\(587\) 0.112946 + 0.247317i 0.00466178 + 0.0102079i 0.911949 0.410305i \(-0.134578\pi\)
−0.907287 + 0.420512i \(0.861850\pi\)
\(588\) 3.40633 8.83389i 0.140475 0.364303i
\(589\) −14.2204 9.13892i −0.585943 0.376563i
\(590\) −0.205224 + 0.845944i −0.00844893 + 0.0348270i
\(591\) 15.2745 6.11498i 0.628308 0.251537i
\(592\) 4.20366 + 0.810188i 0.172769 + 0.0332985i
\(593\) −1.36941 28.7474i −0.0562348 1.18051i −0.833929 0.551871i \(-0.813914\pi\)
0.777694 0.628642i \(-0.216389\pi\)
\(594\) 1.70950 + 1.97287i 0.0701418 + 0.0809479i
\(595\) −0.171339 + 0.0949833i −0.00702421 + 0.00389393i
\(596\) −1.68564 + 3.69103i −0.0690464 + 0.151191i
\(597\) 11.5949 20.0830i 0.474549 0.821943i
\(598\) −1.65184 1.04509i −0.0675489 0.0427368i
\(599\) 21.3710 + 37.0157i 0.873196 + 1.51242i 0.858672 + 0.512525i \(0.171290\pi\)
0.0145239 + 0.999895i \(0.495377\pi\)
\(600\) −7.77012 10.9116i −0.317214 0.445464i
\(601\) 25.3438 + 7.44161i 1.03380 + 0.303550i 0.754253 0.656584i \(-0.227999\pi\)
0.279542 + 0.960133i \(0.409817\pi\)
\(602\) 4.07716 6.10765i 0.166173 0.248929i
\(603\) −3.82666 + 2.45924i −0.155834 + 0.100148i
\(604\) −7.41309 21.4187i −0.301634 0.871515i
\(605\) 0.0816213 0.0326762i 0.00331838 0.00132848i
\(606\) −3.23053 3.08031i −0.131231 0.125129i
\(607\) 15.8820 8.18776i 0.644632 0.332331i −0.104721 0.994502i \(-0.533395\pi\)
0.749353 + 0.662171i \(0.230365\pi\)
\(608\) 2.02810 + 14.1057i 0.0822502 + 0.572063i
\(609\) −2.07306 11.8643i −0.0840048 0.480767i
\(610\) 0.650146 + 1.42362i 0.0263237 + 0.0576408i
\(611\) −0.494087 0.197803i −0.0199886 0.00800224i
\(612\) 0.0257253 0.540040i 0.00103988 0.0218298i
\(613\) 10.7861 + 10.2846i 0.435648 + 0.415389i 0.875906 0.482482i \(-0.160265\pi\)
−0.440258 + 0.897871i \(0.645113\pi\)
\(614\) −6.49571 5.10828i −0.262146 0.206154i
\(615\) −0.403217 + 0.465337i −0.0162593 + 0.0187642i
\(616\) 22.0101 7.19107i 0.886812 0.289737i
\(617\) −6.85092 7.90638i −0.275808 0.318299i 0.600899 0.799325i \(-0.294810\pi\)
−0.876706 + 0.481026i \(0.840264\pi\)
\(618\) −0.492186 + 0.469299i −0.0197986 + 0.0188780i
\(619\) 22.6002 2.15806i 0.908381 0.0867398i 0.369605 0.929189i \(-0.379493\pi\)
0.538776 + 0.842449i \(0.318887\pi\)
\(620\) −0.865610 1.49928i −0.0347637 0.0602125i
\(621\) 2.75406 3.92621i 0.110517 0.157553i
\(622\) 11.7541 0.471297
\(623\) −32.7308 5.28929i −1.31133 0.211911i
\(624\) 0.259780 + 0.0762782i 0.0103995 + 0.00305357i
\(625\) 24.0440 4.63410i 0.961759 0.185364i
\(626\) 19.7160 + 10.1643i 0.788010 + 0.406247i
\(627\) 7.79328 + 1.50203i 0.311233 + 0.0599853i
\(628\) 21.3355 + 16.7784i 0.851380 + 0.669533i
\(629\) 3.07185 0.901977i 0.122483 0.0359642i
\(630\) −0.384797 + 0.0862842i −0.0153307 + 0.00343764i
\(631\) −6.49244 45.1559i −0.258460 1.79763i −0.543815 0.839205i \(-0.683021\pi\)
0.285355 0.958422i \(-0.407889\pi\)
\(632\) 24.0018 + 2.29190i 0.954742 + 0.0911668i
\(633\) −12.0623 + 16.9392i −0.479434 + 0.673271i
\(634\) 6.32858 4.97685i 0.251340 0.197656i
\(635\) 1.17456 0.605529i 0.0466111 0.0240297i
\(636\) 1.21628 0.357133i 0.0482288 0.0141613i
\(637\) 3.51582 + 0.459757i 0.139302 + 0.0182162i
\(638\) 7.78206 8.98097i 0.308095 0.355560i
\(639\) −0.680576 14.2870i −0.0269232 0.565187i
\(640\) −0.529471 + 1.52980i −0.0209292 + 0.0604708i
\(641\) −5.64924 23.2865i −0.223131 0.919760i −0.967678 0.252190i \(-0.918849\pi\)
0.744546 0.667571i \(-0.232666\pi\)
\(642\) 0.865717 + 1.21573i 0.0341671 + 0.0479810i
\(643\) 45.6626 1.80076 0.900379 0.435107i \(-0.143290\pi\)
0.900379 + 0.435107i \(0.143290\pi\)
\(644\) −9.12900 14.5325i −0.359733 0.572662i
\(645\) 0.638974 0.0251596
\(646\) 0.456413 + 0.640942i 0.0179573 + 0.0252175i
\(647\) 0.0408006 + 0.168182i 0.00160404 + 0.00661192i 0.972608 0.232452i \(-0.0746747\pi\)
−0.971004 + 0.239064i \(0.923160\pi\)
\(648\) 0.882299 2.54924i 0.0346600 0.100143i
\(649\) 0.901540 + 18.9257i 0.0353885 + 0.742897i
\(650\) 1.32538 1.52957i 0.0519858 0.0599948i
\(651\) 18.1381 2.28623i 0.710887 0.0896043i
\(652\) 0.512566 0.150503i 0.0200736 0.00589415i
\(653\) −17.4280 + 8.98474i −0.682009 + 0.351600i −0.764166 0.645019i \(-0.776849\pi\)
0.0821571 + 0.996619i \(0.473819\pi\)
\(654\) −2.01508 + 1.58468i −0.0787961 + 0.0619659i
\(655\) 1.00210 1.40726i 0.0391554 0.0549860i
\(656\) −1.76863 0.168884i −0.0690535 0.00659381i
\(657\) −0.916160 6.37203i −0.0357428 0.248597i
\(658\) 1.51513 + 1.64547i 0.0590660 + 0.0641471i
\(659\) −37.8426 + 11.1116i −1.47414 + 0.432846i −0.917442 0.397869i \(-0.869750\pi\)
−0.556697 + 0.830715i \(0.687932\pi\)
\(660\) 0.638937 + 0.502466i 0.0248706 + 0.0195584i
\(661\) 39.5811 + 7.62864i 1.53953 + 0.296720i 0.887260 0.461269i \(-0.152606\pi\)
0.652268 + 0.757989i \(0.273818\pi\)
\(662\) 16.0108 + 8.25412i 0.622276 + 0.320805i
\(663\) 0.198818 0.0383190i 0.00772144 0.00148818i
\(664\) −10.4428 3.06627i −0.405258 0.118994i
\(665\) −0.757445 + 0.929394i −0.0293725 + 0.0360404i
\(666\) 6.44461 0.249724
\(667\) −19.4753 9.86593i −0.754088 0.382010i
\(668\) −15.8629 27.4753i −0.613752 1.06305i
\(669\) −14.4237 + 1.37730i −0.557653 + 0.0532494i
\(670\) 0.490690 0.467872i 0.0189570 0.0180755i
\(671\) 22.3080 + 25.7449i 0.861193 + 0.993869i
\(672\) −11.4703 10.2942i −0.442476 0.397107i
\(673\) 9.41329 10.8635i 0.362856 0.418758i −0.544739 0.838606i \(-0.683371\pi\)
0.907594 + 0.419848i \(0.137917\pi\)
\(674\) −8.78478 6.90843i −0.338377 0.266103i
\(675\) 3.59384 + 3.42672i 0.138327 + 0.131894i
\(676\) 0.820129 17.2166i 0.0315434 0.662178i
\(677\) −11.8445 4.74181i −0.455219 0.182242i 0.132709 0.991155i \(-0.457632\pi\)
−0.587929 + 0.808913i \(0.700057\pi\)
\(678\) −0.772183 1.69084i −0.0296555 0.0649365i
\(679\) −14.3244 5.23878i −0.549719 0.201046i
\(680\) 0.0284266 + 0.197711i 0.00109011 + 0.00758188i
\(681\) −0.166808 + 0.0859953i −0.00639208 + 0.00329535i
\(682\) 13.0546 + 12.4476i 0.499888 + 0.476642i
\(683\) −17.6848 + 7.07993i −0.676690 + 0.270906i −0.684446 0.729064i \(-0.739956\pi\)
0.00775525 + 0.999970i \(0.497531\pi\)
\(684\) −1.08222 3.12686i −0.0413795 0.119558i
\(685\) −1.15172 + 0.740163i −0.0440048 + 0.0282802i
\(686\) −12.4989 8.11486i −0.477211 0.309827i
\(687\) −4.21216 1.23680i −0.160704 0.0471869i
\(688\) 1.06948 + 1.50188i 0.0407736 + 0.0572585i
\(689\) 0.237367 + 0.411131i 0.00904295 + 0.0156629i
\(690\) −0.292327 + 0.652318i −0.0111287 + 0.0248333i
\(691\) −1.06829 + 1.85033i −0.0406397 + 0.0703900i −0.885630 0.464392i \(-0.846273\pi\)
0.844990 + 0.534782i \(0.179606\pi\)
\(692\) −12.1513 + 26.6076i −0.461922 + 1.01147i
\(693\) −7.50720 + 4.16168i −0.285175 + 0.158089i
\(694\) −15.0652 17.3862i −0.571867 0.659970i
\(695\) 0.0240011 + 0.503845i 0.000910414 + 0.0191119i
\(696\) −12.0582 2.32403i −0.457065 0.0880920i
\(697\) −1.23350 + 0.493820i −0.0467223 + 0.0187048i
\(698\) 5.05277 20.8278i 0.191250 0.788345i
\(699\) 11.4641 + 7.36751i 0.433611 + 0.278665i
\(700\) 16.2901 7.09924i 0.615707 0.268326i
\(701\) −17.3828 38.0629i −0.656538 1.43762i −0.885714 0.464232i \(-0.846330\pi\)
0.229176 0.973385i \(-0.426397\pi\)
\(702\) 0.405735 + 0.0387430i 0.0153135 + 0.00146226i
\(703\) 15.4017 12.1120i 0.580885 0.456813i
\(704\) 0.558547 11.7253i 0.0210510 0.441915i
\(705\) −0.0458853 + 0.189142i −0.00172814 + 0.00712350i
\(706\) 1.13354 7.88397i 0.0426615 0.296717i
\(707\) 12.1021 8.30410i 0.455147 0.312308i
\(708\) 6.64516 4.27059i 0.249740 0.160498i
\(709\) 33.4823 6.45318i 1.25745 0.242354i 0.483357 0.875423i \(-0.339417\pi\)
0.774095 + 0.633069i \(0.218205\pi\)
\(710\) 0.502618 + 2.07182i 0.0188629 + 0.0777540i
\(711\) −8.89748 + 0.849606i −0.333681 + 0.0318627i
\(712\) −16.9026 + 29.2761i −0.633451 + 1.09717i
\(713\) 16.3650 28.8154i 0.612875 1.07914i
\(714\) −0.823365 0.214995i −0.0308137 0.00804599i
\(715\) −0.126458 + 0.276904i −0.00472925 + 0.0103556i
\(716\) −1.00639 + 0.959591i −0.0376105 + 0.0358616i
\(717\) 6.61920 19.1249i 0.247199 0.714233i
\(718\) 12.8950 + 6.64783i 0.481237 + 0.248095i
\(719\) −9.59002 27.7085i −0.357647 1.03335i −0.970070 0.242824i \(-0.921926\pi\)
0.612423 0.790530i \(-0.290195\pi\)
\(720\) 0.0140908 0.0980037i 0.000525133 0.00365238i
\(721\) −1.17600 1.90192i −0.0437966 0.0708313i
\(722\) −8.81015 5.66194i −0.327880 0.210715i
\(723\) 10.5934 + 4.24097i 0.393974 + 0.157723i
\(724\) −17.6509 + 24.7873i −0.655992 + 0.921212i
\(725\) 13.1122 18.4135i 0.486974 0.683859i
\(726\) 0.354546 + 0.141939i 0.0131584 + 0.00526784i
\(727\) −29.4906 18.9525i −1.09375 0.702908i −0.136053 0.990702i \(-0.543442\pi\)
−0.957692 + 0.287794i \(0.907078\pi\)
\(728\) 1.71231 3.18402i 0.0634624 0.118008i
\(729\) −0.142315 + 0.989821i −0.00527092 + 0.0366601i
\(730\) 0.313830 + 0.906752i 0.0116154 + 0.0335604i
\(731\) 1.22556 + 0.631821i 0.0453291 + 0.0233688i
\(732\) 4.64500 13.4209i 0.171684 0.496049i
\(733\) 13.0144 12.4092i 0.480697 0.458344i −0.410566 0.911831i \(-0.634669\pi\)
0.891263 + 0.453487i \(0.149820\pi\)
\(734\) 4.19223 9.17970i 0.154738 0.338829i
\(735\) −0.0165577 1.29657i −0.000610740 0.0478247i
\(736\) −27.3940 + 5.48167i −1.00976 + 0.202057i
\(737\) 7.37873 12.7803i 0.271799 0.470770i
\(738\) −2.66249 + 0.254237i −0.0980075 + 0.00935858i
\(739\) 1.95753 + 8.06906i 0.0720090 + 0.296825i 0.996417 0.0845809i \(-0.0269551\pi\)
−0.924408 + 0.381406i \(0.875440\pi\)
\(740\) 1.97043 0.379770i 0.0724346 0.0139606i
\(741\) 1.04246 0.669948i 0.0382957 0.0246112i
\(742\) −0.155041 1.98918i −0.00569173 0.0730252i
\(743\) −4.52253 + 31.4549i −0.165915 + 1.15397i 0.721304 + 0.692619i \(0.243543\pi\)
−0.887219 + 0.461349i \(0.847366\pi\)
\(744\) 4.39451 18.1144i 0.161111 0.664107i
\(745\) −0.0264425 + 0.555097i −0.000968778 + 0.0203372i
\(746\) −19.7551 + 15.5356i −0.723285 + 0.568798i
\(747\) 4.01629 + 0.383509i 0.146948 + 0.0140319i
\(748\) 0.728650 + 1.59552i 0.0266421 + 0.0583381i
\(749\) −4.49876 + 1.96057i −0.164381 + 0.0716375i
\(750\) −1.24960 0.803066i −0.0456288 0.0293238i
\(751\) −0.321703 + 1.32608i −0.0117391 + 0.0483893i −0.977380 0.211491i \(-0.932168\pi\)
0.965641 + 0.259881i \(0.0836832\pi\)
\(752\) −0.521369 + 0.208725i −0.0190124 + 0.00761141i
\(753\) −15.9413 3.07243i −0.580932 0.111965i
\(754\) −0.0882835 1.85330i −0.00321510 0.0674932i
\(755\) −2.03277 2.34595i −0.0739802 0.0853777i
\(756\) 3.06746 + 1.84296i 0.111562 + 0.0670277i
\(757\) 16.0472 35.1385i 0.583245 1.27713i −0.356194 0.934412i \(-0.615926\pi\)
0.939439 0.342717i \(-0.111347\pi\)
\(758\) 8.34236 14.4494i 0.303008 0.524825i
\(759\) −2.10494 + 15.4160i −0.0764044 + 0.559565i
\(760\) 0.611226 + 1.05868i 0.0221715 + 0.0384022i
\(761\) 7.66548 + 10.7647i 0.277873 + 0.390219i 0.929801 0.368063i \(-0.119979\pi\)
−0.651928 + 0.758281i \(0.726039\pi\)
\(762\) 5.50764 + 1.61719i 0.199521 + 0.0585845i
\(763\) −3.73144 7.55833i −0.135087 0.273630i
\(764\) 20.0069 12.8577i 0.723825 0.465174i
\(765\) −0.0242178 0.0699728i −0.000875597 0.00252987i
\(766\) 0.904876 0.362258i 0.0326945 0.0130889i
\(767\) 2.14099 + 2.04143i 0.0773066 + 0.0737117i
\(768\) −12.6823 + 6.53816i −0.457632 + 0.235926i
\(769\) 2.81444 + 19.5748i 0.101491 + 0.705887i 0.975504 + 0.219983i \(0.0706003\pi\)
−0.874012 + 0.485904i \(0.838491\pi\)
\(770\) 0.981342 0.820857i 0.0353651 0.0295817i
\(771\) 12.8117 + 28.0538i 0.461404 + 1.01033i