Properties

Label 483.2.y.a.4.11
Level $483$
Weight $2$
Character 483.4
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 4.11
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.a.121.11

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + O(q^{10}) \) \( 320 q + 2 q^{2} - 16 q^{3} + 18 q^{4} - 2 q^{5} - 18 q^{6} + 2 q^{7} - 12 q^{8} + 16 q^{9} + 8 q^{10} - 6 q^{11} - 18 q^{12} - 10 q^{14} + 18 q^{15} + 8 q^{16} + 4 q^{17} + 2 q^{18} + 18 q^{20} + 4 q^{21} - 176 q^{22} - 18 q^{23} - 6 q^{24} + 8 q^{25} - 14 q^{26} + 32 q^{27} + 46 q^{28} + 34 q^{29} - 8 q^{30} + 52 q^{31} - 8 q^{32} - 5 q^{33} - 24 q^{34} - 12 q^{35} - 14 q^{36} - 30 q^{37} - 157 q^{38} + 88 q^{40} - 28 q^{41} - 45 q^{42} + 64 q^{43} - 71 q^{44} - 2 q^{45} + 4 q^{46} + 36 q^{47} + 60 q^{48} + 28 q^{49} + 210 q^{50} - 26 q^{51} - 198 q^{52} - 10 q^{53} - 2 q^{54} - 4 q^{55} + 44 q^{57} + 31 q^{58} + 10 q^{59} - 2 q^{60} - 34 q^{61} - 8 q^{62} + 2 q^{63} + 84 q^{64} + 38 q^{65} - 12 q^{67} - 22 q^{68} + 8 q^{69} - 336 q^{70} - 144 q^{71} + 6 q^{72} - 16 q^{73} - 68 q^{74} - 30 q^{75} + 8 q^{76} + 98 q^{77} + 16 q^{78} + 26 q^{79} + 225 q^{80} + 16 q^{81} - 122 q^{82} + 44 q^{84} - 240 q^{85} - 26 q^{86} - 16 q^{87} + 43 q^{88} + 68 q^{89} - 16 q^{90} + 40 q^{91} - 222 q^{92} - 8 q^{93} + 137 q^{94} - 49 q^{95} + 30 q^{96} - 8 q^{97} + 137 q^{98} - 10 q^{99} + O(q^{100}) \)

Character values

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

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

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 −0.615902 0.787823i \(-0.711208\pi\)
0.945935 + 0.324356i \(0.105148\pi\)
\(3\) −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 −0.999981 0.00616724i \(-0.998037\pi\)
0.996039 + 0.0889149i \(0.0283399\pi\)
\(6\) 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 0.994201 0.107539i \(-0.0342971\pi\)
−0.426796 + 0.904348i \(0.640358\pi\)
\(12\) −1.34643 + 0.128568i −0.388680 + 0.0371145i
\(13\) −0.0720877 + 0.501381i −0.0199935 + 0.139058i −0.997373 0.0724343i \(-0.976923\pi\)
0.977380 + 0.211492i \(0.0678323\pi\)
\(14\) −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 −0.236627 0.971601i \(-0.576042\pi\)
0.141431 + 0.989948i \(0.454830\pi\)
\(18\) −0.715193 + 0.368708i −0.168573 + 0.0869053i
\(19\) −2.40216 0.462978i −0.551092 0.106214i −0.0938991 0.995582i \(-0.529933\pi\)
−0.457193 + 0.889367i \(0.651145\pi\)
\(20\) −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 0.961712 0.274063i \(-0.0883676\pi\)
−0.408139 + 0.912920i \(0.633822\pi\)
\(30\) −0.117162 + 0.0921373i −0.0213908 + 0.0168219i
\(31\) 5.00085 4.76830i 0.898179 0.856412i −0.0920656 0.995753i \(-0.529347\pi\)
0.990244 + 0.139341i \(0.0444985\pi\)
\(32\) 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 −0.240266 0.970707i \(-0.577235\pi\)
−0.930083 + 0.367351i \(0.880265\pi\)
\(38\) −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 0.740466 0.672094i \(-0.234605\pi\)
−0.303758 + 0.952749i \(0.598241\pi\)
\(42\) 2.12438 0.138312i 0.327799 0.0213419i
\(43\) −3.30973 + 0.971823i −0.504728 + 0.148202i −0.524177 0.851609i \(-0.675627\pi\)
0.0194487 + 0.999811i \(0.493809\pi\)
\(44\) −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 0.901794 0.432167i \(-0.142251\pi\)
−0.825164 + 0.564893i \(0.808918\pi\)
\(48\) −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 0.311134 0.950366i \(-0.399291\pi\)
−0.430649 + 0.902519i \(0.641715\pi\)
\(54\) −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 0.272920 0.962037i \(-0.412010\pi\)
−0.870575 + 0.492036i \(0.836253\pi\)
\(60\) −0.0119215 0.250262i −0.00153905 0.0323087i
\(61\) −2.47549 10.2041i −0.316955 1.30650i −0.877977 0.478704i \(-0.841107\pi\)
0.561022 0.827801i \(-0.310408\pi\)
\(62\) −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 0.367914 0.929860i \(-0.380072\pi\)
0.185289 + 0.982684i \(0.440678\pi\)
\(68\) −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 −0.833601 0.552368i \(-0.813724\pi\)
0.128441 0.991717i \(-0.459003\pi\)
\(72\) −1.95235 1.86156i −0.230086 0.219387i
\(73\) −2.10552 6.08350i −0.246432 0.712020i −0.998592 0.0530391i \(-0.983109\pi\)
0.752160 0.658980i \(-0.229012\pi\)
\(74\) −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 0.145516 0.989356i \(-0.453516\pi\)
0.788049 + 0.615613i \(0.211092\pi\)
\(80\) −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 −0.713495 0.700660i \(-0.752889\pi\)
0.340946 + 0.940083i \(0.389253\pi\)
\(84\) −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 0.0352055 0.999380i \(-0.488791\pi\)
−0.996573 + 0.0827180i \(0.973640\pi\)
\(90\) −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 0.270764 0.962646i \(-0.412724\pi\)
−0.763174 + 0.646193i \(0.776360\pi\)
\(98\) −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 0.973203 + 0.229949i \(0.0738561\pi\)
−0.946938 + 0.321417i \(0.895841\pi\)
\(102\) −0.252824 0.198823i −0.0250333 0.0196864i
\(103\) −0.841352 + 0.0803393i −0.0829008 + 0.00791607i −0.136424 0.990651i \(-0.543561\pi\)
0.0535232 + 0.998567i \(0.482955\pi\)
\(104\) −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 0.946761 0.321939i \(-0.104334\pi\)
−0.989035 + 0.147680i \(0.952819\pi\)
\(108\) 1.25567 + 0.502693i 0.120827 + 0.0483717i
\(109\) −3.12838 + 0.602946i −0.299644 + 0.0577517i −0.336858 0.941556i \(-0.609364\pi\)
0.0372132 + 0.999307i \(0.488152\pi\)
\(110\) −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 0.949385 0.314115i \(-0.101708\pi\)
−0.859107 + 0.511795i \(0.828981\pi\)
\(114\) −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 −0.731383 0.681967i \(-0.761125\pi\)
0.994350 + 0.106149i \(0.0338520\pi\)
\(128\) −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 −0.244274 0.969706i \(-0.578550\pi\)
0.884782 + 0.466005i \(0.154307\pi\)
\(132\) −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 −0.979589 0.201010i \(-0.935578\pi\)
0.663874 + 0.747844i \(0.268911\pi\)
\(138\) −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 −0.216666 0.976246i \(-0.569518\pi\)
−0.0279946 + 0.999608i \(0.508912\pi\)
\(150\) 2.31767 + 3.25471i 0.189237 + 0.265746i
\(151\) 13.1722 + 10.3587i 1.07194 + 0.842983i 0.988149 0.153500i \(-0.0490546\pi\)
0.0837914 + 0.996483i \(0.473297\pi\)
\(152\) −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 −0.827919 0.560848i \(-0.810475\pi\)
0.304095 0.952642i \(-0.401646\pi\)
\(158\) 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 −0.805506 0.592587i \(-0.798107\pi\)
0.823451 + 0.567388i \(0.192046\pi\)
\(164\) −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 0.911695 + 0.410868i \(0.134774\pi\)
0.276938 + 0.960888i \(0.410680\pi\)
\(168\) 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 −0.872509 0.488597i \(-0.837509\pi\)
−0.764274 + 0.644891i \(0.776903\pi\)
\(174\) −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 −0.492039 0.870573i \(-0.663748\pi\)
0.423738 + 0.905785i \(0.360718\pi\)
\(180\) 0.246018 + 0.0474161i 0.0183371 + 0.00353419i
\(181\) −21.5866 + 6.33841i −1.60452 + 0.471130i −0.956800 0.290747i \(-0.906096\pi\)
−0.647722 + 0.761877i \(0.724278\pi\)
\(182\) 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 0.0230836 0.999734i \(-0.492652\pi\)
0.976995 + 0.213263i \(0.0684092\pi\)
\(192\) −2.61865 + 2.49688i −0.188985 + 0.180197i
\(193\) 0.985785 + 20.6942i 0.0709584 + 1.48960i 0.701069 + 0.713094i \(0.252707\pi\)
−0.630110 + 0.776506i \(0.716990\pi\)
\(194\) −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 −0.718567 0.695457i \(-0.755202\pi\)
0.885393 0.464842i \(-0.153889\pi\)
\(198\) −2.32029 1.19619i −0.164896 0.0850097i
\(199\) 16.7833 16.0028i 1.18974 1.13441i 0.201821 0.979422i \(-0.435314\pi\)
0.987916 0.154989i \(-0.0495343\pi\)
\(200\) 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 0.0590010 + 0.998258i \(0.481208\pi\)
−0.996494 + 0.0836665i \(0.973337\pi\)
\(212\) 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 0.934579 + 0.355755i \(0.115776\pi\)
−0.796494 + 0.604646i \(0.793315\pi\)
\(224\) 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 −0.973261 0.229702i \(-0.926225\pi\)
0.970324 + 0.241807i \(0.0777400\pi\)
\(228\) 3.29386 + 0.314525i 0.218141 + 0.0208299i
\(229\) 2.19499 + 3.80183i 0.145049 + 0.251232i 0.929391 0.369096i \(-0.120333\pi\)
−0.784342 + 0.620328i \(0.786999\pi\)
\(230\) −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 0.294453 0.955666i \(-0.404862\pi\)
−0.940573 + 0.339592i \(0.889711\pi\)
\(234\) −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 0.141900 0.989881i \(-0.454679\pi\)
0.959375 + 0.282135i \(0.0910426\pi\)
\(240\) 0.0919191 0.0367989i 0.00593335 0.00237536i
\(241\) −6.61892 9.29498i −0.426362 0.598742i 0.544388 0.838834i \(-0.316762\pi\)
−0.970750 + 0.240091i \(0.922823\pi\)
\(242\) −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 0.994007 + 0.109313i \(0.0348652\pi\)
−0.568323 + 0.822806i \(0.692407\pi\)
\(252\) −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 −0.892774 0.450504i \(-0.851244\pi\)
−0.996259 + 0.0864226i \(0.972456\pi\)
\(258\) −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 0.452398 0.891816i \(-0.350569\pi\)
−0.760020 + 0.649900i \(0.774811\pi\)
\(264\) −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 0.956795 0.290762i \(-0.0939088\pi\)
0.491817 + 0.870699i \(0.336333\pi\)
\(270\) 0.146358 0.0282081i 0.00890704 0.00171669i
\(271\) −0.251733 + 5.28452i −0.0152917 + 0.321012i 0.978242 + 0.207469i \(0.0665227\pi\)
−0.993533 + 0.113542i \(0.963780\pi\)
\(272\) 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 −0.591947 0.805977i \(-0.701640\pi\)
0.993970 + 0.109652i \(0.0349737\pi\)
\(278\) −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 0.311342 0.950298i \(-0.399222\pi\)
−0.735086 + 0.677974i \(0.762858\pi\)
\(282\) −0.276511 + 0.798927i −0.0164660 + 0.0475754i
\(283\) −2.62232 1.04982i −0.155881 0.0624053i 0.292410 0.956293i \(-0.405543\pi\)
−0.448291 + 0.893888i \(0.647967\pi\)
\(284\) 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 0.991545 + 0.129765i \(0.0414222\pi\)
−0.0126677 + 0.999920i \(0.504032\pi\)
\(294\) 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 −0.0118383 0.999930i \(-0.503768\pi\)
−0.550562 + 0.834794i \(0.685587\pi\)
\(308\) 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 0.981669 0.190596i \(-0.0610420\pi\)
−0.501186 + 0.865340i \(0.667103\pi\)
\(312\) −1.07409 0.844674i −0.0608084 0.0478202i
\(313\) 24.5029 + 12.6321i 1.38498 + 0.714009i 0.979754 0.200206i \(-0.0641612\pi\)
0.405230 + 0.914215i \(0.367191\pi\)
\(314\) −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 0.945253 + 0.326338i \(0.105815\pi\)
−0.971993 + 0.235008i \(0.924488\pi\)
\(318\) −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 0.908085 0.418785i \(-0.137544\pi\)
0.185609 + 0.982624i \(0.440574\pi\)
\(332\) −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 −0.102177 0.994766i \(-0.532581\pi\)
−0.623768 + 0.781610i \(0.714399\pi\)
\(338\) 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 −0.702992 0.711198i \(-0.748153\pi\)
−0.824883 + 0.565303i \(0.808759\pi\)
\(348\) −4.45613 4.24891i −0.238874 0.227766i
\(349\) −17.4425 + 20.1297i −0.933675 + 1.07752i 0.0631583 + 0.998004i \(0.479883\pi\)
−0.996834 + 0.0795153i \(0.974663\pi\)
\(350\) −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 −0.856359 0.516381i \(-0.827279\pi\)
0.475049 + 0.879959i \(0.342430\pi\)
\(354\) −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 0.825940 0.563758i \(-0.190645\pi\)
0.0198681 + 0.999803i \(0.493675\pi\)
\(360\) 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 −0.981983 0.188970i \(-0.939485\pi\)
0.654644 + 0.755937i \(0.272819\pi\)
\(368\) −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 −0.549199 0.835691i \(-0.685067\pi\)
0.626150 0.779703i \(-0.284630\pi\)
\(374\) −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 0.548674 + 0.836036i \(0.315133\pi\)
−0.991139 + 0.132827i \(0.957594\pi\)
\(380\) 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 0.978642 0.205570i \(-0.0659048\pi\)
−0.964050 + 0.265722i \(0.914390\pi\)
\(384\) −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 −0.460772 0.887519i \(-0.652427\pi\)
−0.620409 + 0.784278i \(0.713033\pi\)
\(390\) −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 0.464512 + 0.885567i \(0.346230\pi\)
−0.912552 + 0.408961i \(0.865891\pi\)
\(398\) −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 0.908947 0.416911i \(-0.136887\pi\)
0.945538 0.325513i \(-0.105537\pi\)
\(402\) 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 −0.614534 + 0.788890i \(0.710656\pi\)
−0.999076 + 0.0429837i \(0.986314\pi\)
\(410\) 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 0.799302 0.600930i \(-0.205203\pi\)
−0.214583 + 0.976706i \(0.568839\pi\)
\(420\) −0.546582 0.375048i −0.0266705 0.0183005i
\(421\) 1.33432 + 9.28037i 0.0650306 + 0.452298i 0.996156 + 0.0875982i \(0.0279192\pi\)
−0.931125 + 0.364699i \(0.881172\pi\)
\(422\) 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 −0.542551 0.840023i \(-0.682541\pi\)
−0.191482 + 0.981496i \(0.561329\pi\)
\(432\) −0.0254328 + 0.533901i −0.00122364 + 0.0256873i
\(433\) 20.9542 24.1824i 1.00699 1.16213i 0.0202570 0.999795i \(-0.493552\pi\)
0.986735 0.162336i \(-0.0519030\pi\)
\(434\) −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 −0.251619 0.967826i \(-0.580963\pi\)
0.996893 0.0787652i \(-0.0250978\pi\)
\(440\) −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 −0.941988 0.335646i \(-0.891045\pi\)
0.947935 + 0.318463i \(0.103167\pi\)
\(444\) 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 −0.993436 0.114393i \(-0.963508\pi\)
0.737015 + 0.675877i \(0.236235\pi\)
\(450\) −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 0.0365851 0.999331i \(-0.488352\pi\)
−0.996458 + 0.0840937i \(0.973200\pi\)
\(458\) 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 −0.522933 0.852374i \(-0.675162\pi\)
0.0209092 + 0.999781i \(0.493344\pi\)
\(464\) −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 −0.126376 0.991982i \(-0.540334\pi\)
0.934226 + 0.356682i \(0.116092\pi\)
\(468\) 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 0.960259 0.279109i \(-0.0900391\pi\)
−0.927349 + 0.374198i \(0.877918\pi\)
\(480\) 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 0.983847 0.179013i \(-0.0572904\pi\)
−0.884014 + 0.467460i \(0.845169\pi\)
\(488\) 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 0.902671 0.430331i \(-0.141603\pi\)
0.526720 + 0.850039i \(0.323421\pi\)
\(492\) −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 −0.348959 0.937138i \(-0.613465\pi\)
0.828451 + 0.560061i \(0.189222\pi\)
\(500\) −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 −0.397003 0.917817i \(-0.629950\pi\)
0.162229 + 0.986753i \(0.448132\pi\)
\(504\) −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 0.796738 0.604325i \(-0.206557\pi\)
−0.565730 + 0.824590i \(0.691406\pi\)
\(510\) 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 −0.880543 0.473965i \(-0.842822\pi\)
0.431531 + 0.902098i \(0.357974\pi\)
\(522\) −3.40053 1.36137i −0.148837 0.0595854i
\(523\) −5.57305 + 16.1023i −0.243692 + 0.704103i 0.755129 + 0.655576i \(0.227574\pi\)
−0.998822 + 0.0485272i \(0.984547\pi\)
\(524\) 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 −0.133471 0.991053i \(-0.542612\pi\)
0.0564991 + 0.998403i \(0.482006\pi\)
\(542\) 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 0.506276 0.862371i \(-0.331022\pi\)
−0.574126 + 0.818767i \(0.694658\pi\)
\(548\) −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 −0.118063 0.993006i \(-0.537668\pi\)
0.740396 + 0.672171i \(0.234638\pi\)
\(558\) −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 0.557546 0.830146i \(-0.311743\pi\)
−0.966844 + 0.255368i \(0.917803\pi\)
\(564\) −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 −0.949411 0.314036i \(-0.898319\pi\)
0.940412 + 0.340038i \(0.110440\pi\)
\(570\) 0.324099 0.167085i 0.0135750 0.00699841i
\(571\) −2.46933 7.13467i −0.103338 0.298577i 0.881465 0.472249i \(-0.156558\pi\)
−0.984803 + 0.173673i \(0.944437\pi\)
\(572\) −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 0.282518 0.959262i \(-0.408830\pi\)
0.0958708 + 0.995394i \(0.469436\pi\)
\(578\) −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 −0.907287 0.420512i \(-0.861850\pi\)
0.911949 + 0.410305i \(0.134578\pi\)
\(588\) 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 0.777694 + 0.628642i \(0.216389\pi\)
−0.833929 + 0.551871i \(0.813914\pi\)
\(594\) 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 0.0145239 0.999895i \(-0.495377\pi\)
0.858672 0.512525i \(-0.171290\pi\)
\(600\) −7.77012 + 10.9116i −0.317214 + 0.445464i
\(601\) 25.3438 7.44161i 1.03380 0.303550i 0.279542 0.960133i \(-0.409817\pi\)
0.754253 + 0.656584i \(0.227999\pi\)
\(602\) 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 0.749353 0.662171i \(-0.230365\pi\)
−0.104721 + 0.994502i \(0.533395\pi\)
\(608\) 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 −0.440258 0.897871i \(-0.645113\pi\)
0.875906 + 0.482482i \(0.160265\pi\)
\(614\) −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 −0.876706 0.481026i \(-0.840264\pi\)
0.600899 + 0.799325i \(0.294810\pi\)
\(618\) −0.492186 0.469299i −0.0197986 0.0188780i
\(619\) 22.6002 + 2.15806i 0.908381 + 0.0867398i 0.538776 0.842449i \(-0.318887\pi\)
0.369605 + 0.929189i \(0.379493\pi\)
\(620\) −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 0.285355 + 0.958422i \(0.407889\pi\)
−0.543815 + 0.839205i \(0.683021\pi\)
\(632\) 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 0.744546 + 0.667571i \(0.232666\pi\)
−0.967678 + 0.252190i \(0.918849\pi\)
\(642\) 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 −0.971004 0.239064i \(-0.923160\pi\)
0.972608 + 0.232452i \(0.0746747\pi\)
\(648\) 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 0.0821571 0.996619i \(-0.473819\pi\)
−0.764166 + 0.645019i \(0.776849\pi\)
\(654\) −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 −0.556697 0.830715i \(-0.687932\pi\)
−0.917442 + 0.397869i \(0.869750\pi\)
\(660\) 0.638937 0.502466i 0.0248706 0.0195584i
\(661\) 39.5811 7.62864i 1.53953 0.296720i 0.652268 0.757989i \(-0.273818\pi\)
0.887260 + 0.461269i \(0.152606\pi\)
\(662\) 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 0.907594 0.419848i \(-0.137917\pi\)
−0.544739 + 0.838606i \(0.683371\pi\)
\(674\) −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 −0.587929 0.808913i \(-0.700057\pi\)
0.132709 + 0.991155i \(0.457632\pi\)
\(678\) −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 0.00775525 0.999970i \(-0.497531\pi\)
−0.684446 + 0.729064i \(0.739956\pi\)
\(684\) −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 0.844990 0.534782i \(-0.179606\pi\)
−0.885630 + 0.464392i \(0.846273\pi\)
\(692\) −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 0.229176 + 0.973385i \(0.426397\pi\)
−0.885714 + 0.464232i \(0.846330\pi\)
\(702\) 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 0.774095 0.633069i \(-0.218205\pi\)
0.483357 + 0.875423i \(0.339417\pi\)
\(710\) 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 0.612423 + 0.790530i \(0.290195\pi\)
−0.970070 + 0.242824i \(0.921926\pi\)
\(720\) 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 −0.957692 0.287794i \(-0.907078\pi\)
−0.136053 + 0.990702i \(0.543442\pi\)
\(728\) 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 0.891263 0.453487i \(-0.149820\pi\)
−0.410566 + 0.911831i \(0.634669\pi\)
\(734\) 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 −0.924408 0.381406i \(-0.875440\pi\)
0.996417 + 0.0845809i \(0.0269551\pi\)
\(740\) 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 −0.887219 0.461349i \(-0.847366\pi\)
0.721304 0.692619i \(-0.243543\pi\)
\(744\) 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 0.965641 0.259881i \(-0.0836832\pi\)
−0.977380 + 0.211491i \(0.932168\pi\)
\(752\) −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 0.939439 + 0.342717i \(0.111347\pi\)
−0.356194 + 0.934412i \(0.615926\pi\)
\(758\) 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 −0.651928 0.758281i \(-0.726039\pi\)
0.929801 + 0.368063i \(0.119979\pi\)
\(762\) 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 −0.874012 0.485904i \(-0.838491\pi\)
0.975504 0.219983i \(-0.0706003\pi\)
\(770\) 0.981342 + 0.820857i 0.0353651 + 0.0295817i
\(771\) 12.8117 28.0538i 0.461404