Properties

Label 177.2.e.a.4.2
Level $177$
Weight $2$
Character 177.4
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.2
Character \(\chi\) \(=\) 177.4
Dual form 177.2.e.a.133.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38483 - 0.150610i) q^{2} +(0.647386 - 0.762162i) q^{3} +(-0.0581619 - 0.0128024i) q^{4} +(1.49641 + 1.13754i) q^{5} +(-1.01131 + 0.957965i) q^{6} +(-1.93379 + 4.85346i) q^{7} +(2.71878 + 0.916062i) q^{8} +(-0.161782 - 0.986827i) q^{9} +O(q^{10})\) \(q+(-1.38483 - 0.150610i) q^{2} +(0.647386 - 0.762162i) q^{3} +(-0.0581619 - 0.0128024i) q^{4} +(1.49641 + 1.13754i) q^{5} +(-1.01131 + 0.957965i) q^{6} +(-1.93379 + 4.85346i) q^{7} +(2.71878 + 0.916062i) q^{8} +(-0.161782 - 0.986827i) q^{9} +(-1.90096 - 1.80068i) q^{10} +(4.37666 - 2.02486i) q^{11} +(-0.0474107 + 0.0360407i) q^{12} +(0.300503 - 1.83299i) q^{13} +(3.40896 - 6.42998i) q^{14} +(1.83575 - 0.404079i) q^{15} +(-3.51898 - 1.62805i) q^{16} +(0.912111 + 2.28923i) q^{17} +(0.0754154 + 1.39096i) q^{18} +(3.76355 + 5.55083i) q^{19} +(-0.0724708 - 0.0853193i) q^{20} +(2.44721 + 4.61593i) q^{21} +(-6.36590 + 2.14492i) q^{22} +(0.0327353 - 0.603767i) q^{23} +(2.45829 - 1.47910i) q^{24} +(-0.392396 - 1.41328i) q^{25} +(-0.692212 + 2.49312i) q^{26} +(-0.856857 - 0.515554i) q^{27} +(0.174609 - 0.257529i) q^{28} +(0.0486422 - 0.00529016i) q^{29} +(-2.60306 + 0.283100i) q^{30} +(-0.180303 + 0.265927i) q^{31} +(-0.288569 - 0.173626i) q^{32} +(1.29012 - 4.64659i) q^{33} +(-0.918342 - 3.30757i) q^{34} +(-8.41477 + 5.06300i) q^{35} +(-0.00322420 + 0.0594669i) q^{36} +(-7.00462 + 2.36013i) q^{37} +(-4.37589 - 8.25380i) q^{38} +(-1.20249 - 1.41568i) q^{39} +(3.02635 + 4.46353i) q^{40} +(-0.238995 - 4.40800i) q^{41} +(-2.69377 - 6.76086i) q^{42} +(4.90321 + 2.26847i) q^{43} +(-0.280478 + 0.0617378i) q^{44} +(0.880465 - 1.66073i) q^{45} +(-0.136266 + 0.831186i) q^{46} +(2.52934 - 1.92275i) q^{47} +(-3.51898 + 1.62805i) q^{48} +(-14.7345 - 13.9573i) q^{49} +(0.330549 + 2.01626i) q^{50} +(2.33525 + 0.786837i) q^{51} +(-0.0409444 + 0.102763i) q^{52} +(-7.42224 + 7.03072i) q^{53} +(1.10896 + 0.843007i) q^{54} +(8.85265 + 1.94861i) q^{55} +(-9.70362 + 11.4240i) q^{56} +(6.66710 + 0.725091i) q^{57} -0.0681581 q^{58} +(1.04350 - 7.60993i) q^{59} -0.111944 q^{60} +(-6.24571 - 0.679262i) q^{61} +(0.289741 - 0.341109i) q^{62} +(5.10237 + 1.12312i) q^{63} +(6.54693 + 4.97684i) q^{64} +(2.53478 - 2.40107i) q^{65} +(-2.48642 + 6.24044i) q^{66} +(-0.774984 - 0.261123i) q^{67} +(-0.0237425 - 0.144823i) q^{68} +(-0.438976 - 0.415820i) q^{69} +(12.4156 - 5.74406i) q^{70} +(3.23078 - 2.45598i) q^{71} +(0.464146 - 2.83116i) q^{72} +(5.38425 - 10.1558i) q^{73} +(10.0557 - 2.21342i) q^{74} +(-1.33118 - 0.615871i) q^{75} +(-0.147831 - 0.371029i) q^{76} +(1.36400 + 25.1576i) q^{77} +(1.45203 + 2.14159i) q^{78} +(-6.39985 - 7.53449i) q^{79} +(-3.41387 - 6.43923i) q^{80} +(-0.947653 + 0.319302i) q^{81} +(-0.332919 + 6.14034i) q^{82} +(-0.156724 + 0.0942974i) q^{83} +(-0.0832394 - 0.299801i) q^{84} +(-1.23920 + 4.46319i) q^{85} +(-6.44848 - 3.87992i) q^{86} +(0.0274584 - 0.0404980i) q^{87} +(13.7540 - 1.49584i) q^{88} +(6.23826 - 0.678451i) q^{89} +(-1.46942 + 2.16723i) q^{90} +(8.31522 + 5.00310i) q^{91} +(-0.00963360 + 0.0346971i) q^{92} +(0.0859538 + 0.309578i) q^{93} +(-3.79230 + 2.28175i) q^{94} +(-0.682476 + 12.5875i) q^{95} +(-0.319147 + 0.107533i) q^{96} +(7.73314 + 14.5862i) q^{97} +(18.3028 + 21.5477i) q^{98} +(-2.70625 - 3.99142i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38483 0.150610i −0.979225 0.106497i −0.395515 0.918459i \(-0.629434\pi\)
−0.583710 + 0.811962i \(0.698399\pi\)
\(3\) 0.647386 0.762162i 0.373769 0.440034i
\(4\) −0.0581619 0.0128024i −0.0290809 0.00640120i
\(5\) 1.49641 + 1.13754i 0.669216 + 0.508725i 0.883731 0.467996i \(-0.155024\pi\)
−0.214515 + 0.976721i \(0.568817\pi\)
\(6\) −1.01131 + 0.957965i −0.412866 + 0.391087i
\(7\) −1.93379 + 4.85346i −0.730906 + 1.83443i −0.218110 + 0.975924i \(0.569989\pi\)
−0.512795 + 0.858511i \(0.671390\pi\)
\(8\) 2.71878 + 0.916062i 0.961232 + 0.323877i
\(9\) −0.161782 0.986827i −0.0539273 0.328942i
\(10\) −1.90096 1.80068i −0.601135 0.569425i
\(11\) 4.37666 2.02486i 1.31961 0.610517i 0.371494 0.928435i \(-0.378846\pi\)
0.948118 + 0.317918i \(0.102984\pi\)
\(12\) −0.0474107 + 0.0360407i −0.0136863 + 0.0104040i
\(13\) 0.300503 1.83299i 0.0833445 0.508379i −0.911855 0.410512i \(-0.865350\pi\)
0.995200 0.0978667i \(-0.0312019\pi\)
\(14\) 3.40896 6.42998i 0.911083 1.71848i
\(15\) 1.83575 0.404079i 0.473988 0.104333i
\(16\) −3.51898 1.62805i −0.879746 0.407014i
\(17\) 0.912111 + 2.28923i 0.221219 + 0.555219i 0.997137 0.0756154i \(-0.0240921\pi\)
−0.775918 + 0.630834i \(0.782713\pi\)
\(18\) 0.0754154 + 1.39096i 0.0177756 + 0.327851i
\(19\) 3.76355 + 5.55083i 0.863418 + 1.27345i 0.960531 + 0.278174i \(0.0897290\pi\)
−0.0971124 + 0.995273i \(0.530961\pi\)
\(20\) −0.0724708 0.0853193i −0.0162050 0.0190780i
\(21\) 2.44721 + 4.61593i 0.534025 + 1.00728i
\(22\) −6.36590 + 2.14492i −1.35722 + 0.457299i
\(23\) 0.0327353 0.603767i 0.00682578 0.125894i −0.993134 0.116978i \(-0.962679\pi\)
0.999960 0.00891580i \(-0.00283803\pi\)
\(24\) 2.45829 1.47910i 0.501796 0.301920i
\(25\) −0.392396 1.41328i −0.0784793 0.282657i
\(26\) −0.692212 + 2.49312i −0.135754 + 0.488942i
\(27\) −0.856857 0.515554i −0.164902 0.0992184i
\(28\) 0.174609 0.257529i 0.0329980 0.0486684i
\(29\) 0.0486422 0.00529016i 0.00903264 0.000982358i −0.103602 0.994619i \(-0.533037\pi\)
0.112634 + 0.993637i \(0.464071\pi\)
\(30\) −2.60306 + 0.283100i −0.475252 + 0.0516868i
\(31\) −0.180303 + 0.265927i −0.0323834 + 0.0477619i −0.843536 0.537072i \(-0.819530\pi\)
0.811153 + 0.584834i \(0.198841\pi\)
\(32\) −0.288569 0.173626i −0.0510123 0.0306931i
\(33\) 1.29012 4.64659i 0.224581 0.808867i
\(34\) −0.918342 3.30757i −0.157494 0.567243i
\(35\) −8.41477 + 5.06300i −1.42236 + 0.855803i
\(36\) −0.00322420 + 0.0594669i −0.000537367 + 0.00991114i
\(37\) −7.00462 + 2.36013i −1.15155 + 0.388003i −0.829384 0.558679i \(-0.811308\pi\)
−0.322169 + 0.946682i \(0.604412\pi\)
\(38\) −4.37589 8.25380i −0.709862 1.33894i
\(39\) −1.20249 1.41568i −0.192553 0.226691i
\(40\) 3.02635 + 4.46353i 0.478508 + 0.705746i
\(41\) −0.238995 4.40800i −0.0373247 0.688414i −0.955994 0.293386i \(-0.905218\pi\)
0.918669 0.395028i \(-0.129265\pi\)
\(42\) −2.69377 6.76086i −0.415658 1.04322i
\(43\) 4.90321 + 2.26847i 0.747733 + 0.345938i 0.756474 0.654024i \(-0.226920\pi\)
−0.00874112 + 0.999962i \(0.502782\pi\)
\(44\) −0.280478 + 0.0617378i −0.0422836 + 0.00930732i
\(45\) 0.880465 1.66073i 0.131252 0.247567i
\(46\) −0.136266 + 0.831186i −0.0200913 + 0.122552i
\(47\) 2.52934 1.92275i 0.368942 0.280462i −0.404232 0.914657i \(-0.632461\pi\)
0.773174 + 0.634194i \(0.218668\pi\)
\(48\) −3.51898 + 1.62805i −0.507921 + 0.234989i
\(49\) −14.7345 13.9573i −2.10493 1.99390i
\(50\) 0.330549 + 2.01626i 0.0467467 + 0.285142i
\(51\) 2.33525 + 0.786837i 0.327000 + 0.110179i
\(52\) −0.0409444 + 0.102763i −0.00567797 + 0.0142506i
\(53\) −7.42224 + 7.03072i −1.01952 + 0.965743i −0.999420 0.0340545i \(-0.989158\pi\)
−0.0201030 + 0.999798i \(0.506399\pi\)
\(54\) 1.10896 + 0.843007i 0.150910 + 0.114719i
\(55\) 8.85265 + 1.94861i 1.19369 + 0.262751i
\(56\) −9.70362 + 11.4240i −1.29670 + 1.52659i
\(57\) 6.66710 + 0.725091i 0.883079 + 0.0960407i
\(58\) −0.0681581 −0.00894960
\(59\) 1.04350 7.60993i 0.135852 0.990729i
\(60\) −0.111944 −0.0144519
\(61\) −6.24571 0.679262i −0.799681 0.0869705i −0.300852 0.953671i \(-0.597271\pi\)
−0.498829 + 0.866700i \(0.666236\pi\)
\(62\) 0.289741 0.341109i 0.0367971 0.0433209i
\(63\) 5.10237 + 1.12312i 0.642839 + 0.141500i
\(64\) 6.54693 + 4.97684i 0.818366 + 0.622105i
\(65\) 2.53478 2.40107i 0.314400 0.297816i
\(66\) −2.48642 + 6.24044i −0.306057 + 0.768145i
\(67\) −0.774984 0.261123i −0.0946794 0.0319012i 0.271563 0.962421i \(-0.412459\pi\)
−0.366243 + 0.930519i \(0.619356\pi\)
\(68\) −0.0237425 0.144823i −0.00287920 0.0175623i
\(69\) −0.438976 0.415820i −0.0528465 0.0500588i
\(70\) 12.4156 5.74406i 1.48395 0.686547i
\(71\) 3.23078 2.45598i 0.383423 0.291471i −0.395653 0.918400i \(-0.629482\pi\)
0.779076 + 0.626929i \(0.215689\pi\)
\(72\) 0.464146 2.83116i 0.0547001 0.333656i
\(73\) 5.38425 10.1558i 0.630178 1.18864i −0.338651 0.940912i \(-0.609971\pi\)
0.968829 0.247730i \(-0.0796846\pi\)
\(74\) 10.0557 2.21342i 1.16895 0.257305i
\(75\) −1.33118 0.615871i −0.153712 0.0711147i
\(76\) −0.147831 0.371029i −0.0169574 0.0425599i
\(77\) 1.36400 + 25.1576i 0.155443 + 2.86697i
\(78\) 1.45203 + 2.14159i 0.164411 + 0.242487i
\(79\) −6.39985 7.53449i −0.720040 0.847696i 0.273418 0.961895i \(-0.411846\pi\)
−0.993458 + 0.114199i \(0.963570\pi\)
\(80\) −3.41387 6.43923i −0.381682 0.719928i
\(81\) −0.947653 + 0.319302i −0.105295 + 0.0354779i
\(82\) −0.332919 + 6.14034i −0.0367648 + 0.678087i
\(83\) −0.156724 + 0.0942974i −0.0172026 + 0.0103505i −0.524129 0.851639i \(-0.675609\pi\)
0.506927 + 0.861989i \(0.330782\pi\)
\(84\) −0.0832394 0.299801i −0.00908216 0.0327110i
\(85\) −1.23920 + 4.46319i −0.134410 + 0.484101i
\(86\) −6.44848 3.87992i −0.695357 0.418383i
\(87\) 0.0274584 0.0404980i 0.00294384 0.00434185i
\(88\) 13.7540 1.49584i 1.46619 0.159457i
\(89\) 6.23826 0.678451i 0.661254 0.0719157i 0.228662 0.973506i \(-0.426565\pi\)
0.432591 + 0.901590i \(0.357599\pi\)
\(90\) −1.46942 + 2.16723i −0.154890 + 0.228446i
\(91\) 8.31522 + 5.00310i 0.871672 + 0.524467i
\(92\) −0.00963360 + 0.0346971i −0.00100437 + 0.00361742i
\(93\) 0.0859538 + 0.309578i 0.00891300 + 0.0321017i
\(94\) −3.79230 + 2.28175i −0.391145 + 0.235344i
\(95\) −0.682476 + 12.5875i −0.0700206 + 1.29145i
\(96\) −0.319147 + 0.107533i −0.0325728 + 0.0109751i
\(97\) 7.73314 + 14.5862i 0.785181 + 1.48101i 0.874510 + 0.485007i \(0.161183\pi\)
−0.0893293 + 0.996002i \(0.528472\pi\)
\(98\) 18.3028 + 21.5477i 1.84886 + 2.17664i
\(99\) −2.70625 3.99142i −0.271988 0.401152i
\(100\) 0.00472909 + 0.0872229i 0.000472909 + 0.00872229i
\(101\) −6.67791 16.7603i −0.664477 1.66771i −0.741728 0.670701i \(-0.765994\pi\)
0.0772510 0.997012i \(-0.475386\pi\)
\(102\) −3.11542 1.44135i −0.308473 0.142715i
\(103\) −1.78459 + 0.392817i −0.175840 + 0.0387054i −0.302018 0.953302i \(-0.597660\pi\)
0.126177 + 0.992008i \(0.459729\pi\)
\(104\) 2.49613 4.70820i 0.244766 0.461677i
\(105\) −1.58878 + 9.69114i −0.155049 + 0.945758i
\(106\) 11.3375 8.61851i 1.10119 0.837104i
\(107\) 15.9408 7.37498i 1.54105 0.712966i 0.548655 0.836049i \(-0.315140\pi\)
0.992396 + 0.123082i \(0.0392780\pi\)
\(108\) 0.0432361 + 0.0409554i 0.00416039 + 0.00394093i
\(109\) 0.785315 + 4.79021i 0.0752196 + 0.458819i 0.997400 + 0.0720599i \(0.0229573\pi\)
−0.922181 + 0.386759i \(0.873594\pi\)
\(110\) −11.9660 4.03180i −1.14091 0.384417i
\(111\) −2.73589 + 6.86657i −0.259679 + 0.651746i
\(112\) 14.7067 13.9309i 1.38965 1.31635i
\(113\) −8.40522 6.38948i −0.790696 0.601072i 0.129927 0.991524i \(-0.458526\pi\)
−0.920623 + 0.390452i \(0.872319\pi\)
\(114\) −9.12362 2.00826i −0.854505 0.188091i
\(115\) 0.735796 0.866246i 0.0686133 0.0807779i
\(116\) −0.00289685 0.000315051i −0.000268966 2.92518e-5i
\(117\) −1.85746 −0.171722
\(118\) −2.59120 + 10.3813i −0.238540 + 0.955679i
\(119\) −12.8745 −1.18020
\(120\) 5.36115 + 0.583060i 0.489404 + 0.0532259i
\(121\) 7.93384 9.34043i 0.721258 0.849130i
\(122\) 8.54696 + 1.88133i 0.773805 + 0.170327i
\(123\) −3.51433 2.67153i −0.316877 0.240883i
\(124\) 0.0138913 0.0131585i 0.00124747 0.00118167i
\(125\) 4.49922 11.2922i 0.402422 1.01000i
\(126\) −6.89679 2.32380i −0.614414 0.207020i
\(127\) 1.10783 + 6.75746i 0.0983040 + 0.599628i 0.989332 + 0.145679i \(0.0465368\pi\)
−0.891028 + 0.453949i \(0.850015\pi\)
\(128\) −7.82784 7.41493i −0.691890 0.655393i
\(129\) 4.90321 2.26847i 0.431704 0.199727i
\(130\) −3.87187 + 2.94332i −0.339585 + 0.258146i
\(131\) −1.21130 + 7.38860i −0.105832 + 0.645545i 0.879631 + 0.475656i \(0.157789\pi\)
−0.985463 + 0.169889i \(0.945659\pi\)
\(132\) −0.134523 + 0.253738i −0.0117087 + 0.0220850i
\(133\) −34.2186 + 7.53209i −2.96713 + 0.653115i
\(134\) 1.03390 + 0.478331i 0.0893150 + 0.0413215i
\(135\) −0.695747 1.74619i −0.0598804 0.150288i
\(136\) 0.382752 + 7.05944i 0.0328207 + 0.605342i
\(137\) −12.8219 18.9108i −1.09545 1.61566i −0.727939 0.685642i \(-0.759522\pi\)
−0.367507 0.930021i \(-0.619789\pi\)
\(138\) 0.545282 + 0.641955i 0.0464174 + 0.0546468i
\(139\) −8.75216 16.5083i −0.742348 1.40022i −0.910100 0.414388i \(-0.863996\pi\)
0.167752 0.985829i \(-0.446349\pi\)
\(140\) 0.554237 0.186744i 0.0468416 0.0157828i
\(141\) 0.172010 3.17253i 0.0144858 0.267175i
\(142\) −4.84399 + 2.91453i −0.406498 + 0.244582i
\(143\) −2.39634 8.63083i −0.200392 0.721746i
\(144\) −1.03730 + 3.73602i −0.0864416 + 0.311335i
\(145\) 0.0788066 + 0.0474164i 0.00654453 + 0.00393771i
\(146\) −8.98584 + 13.2531i −0.743673 + 1.09684i
\(147\) −20.1766 + 2.19434i −1.66414 + 0.180986i
\(148\) 0.437617 0.0475937i 0.0359719 0.00391218i
\(149\) −0.299050 + 0.441065i −0.0244991 + 0.0361335i −0.839741 0.542987i \(-0.817293\pi\)
0.815242 + 0.579120i \(0.196604\pi\)
\(150\) 1.75071 + 1.05337i 0.142945 + 0.0860071i
\(151\) 2.30014 8.28435i 0.187183 0.674171i −0.809072 0.587709i \(-0.800030\pi\)
0.996255 0.0864622i \(-0.0275562\pi\)
\(152\) 5.14736 + 18.5391i 0.417506 + 1.50372i
\(153\) 2.11151 1.27045i 0.170705 0.102710i
\(154\) 1.90006 35.0445i 0.153111 2.82397i
\(155\) −0.572311 + 0.192834i −0.0459691 + 0.0154888i
\(156\) 0.0518150 + 0.0977335i 0.00414852 + 0.00782494i
\(157\) −1.00193 1.17957i −0.0799630 0.0941398i 0.720726 0.693220i \(-0.243809\pi\)
−0.800689 + 0.599081i \(0.795533\pi\)
\(158\) 7.72796 + 11.3979i 0.614804 + 0.906768i
\(159\) 0.553491 + 10.2085i 0.0438947 + 0.809590i
\(160\) −0.234311 0.588076i −0.0185239 0.0464915i
\(161\) 2.86705 + 1.32644i 0.225955 + 0.104538i
\(162\) 1.36043 0.299454i 0.106886 0.0235273i
\(163\) −6.48313 + 12.2285i −0.507798 + 0.957809i 0.488559 + 0.872531i \(0.337523\pi\)
−0.996357 + 0.0852782i \(0.972822\pi\)
\(164\) −0.0425326 + 0.259437i −0.00332123 + 0.0202586i
\(165\) 7.21624 5.48564i 0.561784 0.427057i
\(166\) 0.231238 0.106982i 0.0179476 0.00830342i
\(167\) 8.56783 + 8.11588i 0.662999 + 0.628026i 0.943322 0.331880i \(-0.107683\pi\)
−0.280323 + 0.959906i \(0.590442\pi\)
\(168\) 2.42494 + 14.7915i 0.187088 + 1.14119i
\(169\) 9.04995 + 3.04928i 0.696150 + 0.234560i
\(170\) 2.38828 5.99414i 0.183173 0.459729i
\(171\) 4.86883 4.61200i 0.372329 0.352688i
\(172\) −0.256138 0.194711i −0.0195304 0.0148466i
\(173\) 20.9545 + 4.61243i 1.59314 + 0.350676i 0.920943 0.389697i \(-0.127420\pi\)
0.672196 + 0.740373i \(0.265351\pi\)
\(174\) −0.0441246 + 0.0519475i −0.00334508 + 0.00393813i
\(175\) 7.61813 + 0.828522i 0.575877 + 0.0626303i
\(176\) −18.6980 −1.40941
\(177\) −5.12446 5.72188i −0.385178 0.430083i
\(178\) −8.74113 −0.655175
\(179\) 12.7015 + 1.38137i 0.949351 + 0.103248i 0.569674 0.821871i \(-0.307070\pi\)
0.379677 + 0.925119i \(0.376035\pi\)
\(180\) −0.0724708 + 0.0853193i −0.00540166 + 0.00635932i
\(181\) 0.0115949 + 0.00255223i 0.000861843 + 0.000189706i 0.215401 0.976526i \(-0.430894\pi\)
−0.214539 + 0.976715i \(0.568825\pi\)
\(182\) −10.7617 8.18081i −0.797708 0.606402i
\(183\) −4.56109 + 4.32050i −0.337166 + 0.319380i
\(184\) 0.642088 1.61152i 0.0473353 0.118803i
\(185\) −13.1665 4.43633i −0.968024 0.326165i
\(186\) −0.0724063 0.441659i −0.00530909 0.0323840i
\(187\) 8.62735 + 8.17226i 0.630894 + 0.597615i
\(188\) −0.171727 + 0.0794493i −0.0125245 + 0.00579444i
\(189\) 4.15921 3.16175i 0.302538 0.229983i
\(190\) 2.84092 17.3288i 0.206102 1.25717i
\(191\) −4.59621 + 8.66938i −0.332570 + 0.627294i −0.992251 0.124252i \(-0.960347\pi\)
0.659680 + 0.751546i \(0.270692\pi\)
\(192\) 8.03155 1.76788i 0.579627 0.127586i
\(193\) −13.1912 6.10289i −0.949522 0.439296i −0.116904 0.993143i \(-0.537297\pi\)
−0.832618 + 0.553848i \(0.813159\pi\)
\(194\) −8.51228 21.3642i −0.611146 1.53386i
\(195\) −0.189023 3.48633i −0.0135362 0.249661i
\(196\) 0.678301 + 1.00042i 0.0484501 + 0.0714585i
\(197\) −10.5322 12.3994i −0.750386 0.883423i 0.245920 0.969290i \(-0.420910\pi\)
−0.996307 + 0.0858671i \(0.972634\pi\)
\(198\) 3.14655 + 5.93503i 0.223616 + 0.421784i
\(199\) −6.26920 + 2.11234i −0.444412 + 0.149740i −0.532606 0.846364i \(-0.678787\pi\)
0.0881937 + 0.996103i \(0.471891\pi\)
\(200\) 0.227818 4.20186i 0.0161092 0.297117i
\(201\) −0.700732 + 0.421616i −0.0494258 + 0.0297385i
\(202\) 6.72353 + 24.2160i 0.473066 + 1.70383i
\(203\) −0.0683885 + 0.246313i −0.00479993 + 0.0172878i
\(204\) −0.125749 0.0756607i −0.00880419 0.00529731i
\(205\) 4.65665 6.86805i 0.325235 0.479685i
\(206\) 2.53051 0.275210i 0.176309 0.0191748i
\(207\) −0.601109 + 0.0653745i −0.0417800 + 0.00454384i
\(208\) −4.04167 + 5.96102i −0.280239 + 0.413322i
\(209\) 27.7114 + 16.6734i 1.91684 + 1.15332i
\(210\) 3.65978 13.1813i 0.252548 0.909597i
\(211\) 3.56564 + 12.8423i 0.245469 + 0.884099i 0.978901 + 0.204336i \(0.0655035\pi\)
−0.733432 + 0.679763i \(0.762083\pi\)
\(212\) 0.521701 0.313897i 0.0358306 0.0215586i
\(213\) 0.219712 4.05234i 0.0150544 0.277662i
\(214\) −23.1860 + 7.81229i −1.58496 + 0.534037i
\(215\) 4.75675 + 8.97218i 0.324407 + 0.611897i
\(216\) −1.85732 2.18661i −0.126375 0.148780i
\(217\) −0.941997 1.38934i −0.0639469 0.0943147i
\(218\) −0.366078 6.75192i −0.0247940 0.457298i
\(219\) −4.25465 10.6784i −0.287503 0.721577i
\(220\) −0.489939 0.226670i −0.0330317 0.0152821i
\(221\) 4.47021 0.983968i 0.300699 0.0661889i
\(222\) 4.82293 9.09700i 0.323694 0.610551i
\(223\) −3.07004 + 18.7264i −0.205585 + 1.25401i 0.659237 + 0.751935i \(0.270879\pi\)
−0.864822 + 0.502079i \(0.832569\pi\)
\(224\) 1.40072 1.06480i 0.0935897 0.0711450i
\(225\) −1.33118 + 0.615871i −0.0887456 + 0.0410581i
\(226\) 10.6775 + 10.1143i 0.710257 + 0.672791i
\(227\) 1.12719 + 6.87557i 0.0748144 + 0.456348i 0.997492 + 0.0707758i \(0.0225475\pi\)
−0.922678 + 0.385572i \(0.874004\pi\)
\(228\) −0.378488 0.127528i −0.0250660 0.00844572i
\(229\) 6.77191 16.9962i 0.447501 1.12314i −0.516274 0.856424i \(-0.672681\pi\)
0.963775 0.266718i \(-0.0859393\pi\)
\(230\) −1.14942 + 1.08879i −0.0757905 + 0.0717926i
\(231\) 20.0572 + 15.2471i 1.31967 + 1.00318i
\(232\) 0.137093 + 0.0301765i 0.00900063 + 0.00198119i
\(233\) −6.84258 + 8.05571i −0.448272 + 0.527747i −0.939162 0.343475i \(-0.888396\pi\)
0.490889 + 0.871222i \(0.336672\pi\)
\(234\) 2.57227 + 0.279751i 0.168154 + 0.0182879i
\(235\) 5.97214 0.389580
\(236\) −0.158117 + 0.429249i −0.0102926 + 0.0279417i
\(237\) −9.88568 −0.642144
\(238\) 17.8290 + 1.93902i 1.15568 + 0.125688i
\(239\) −8.64260 + 10.1749i −0.559043 + 0.658157i −0.966980 0.254854i \(-0.917973\pi\)
0.407936 + 0.913010i \(0.366249\pi\)
\(240\) −7.11783 1.56675i −0.459454 0.101133i
\(241\) −4.15966 3.16209i −0.267947 0.203688i 0.462569 0.886583i \(-0.346928\pi\)
−0.730517 + 0.682895i \(0.760721\pi\)
\(242\) −12.3938 + 11.7400i −0.796703 + 0.754678i
\(243\) −0.370138 + 0.928977i −0.0237444 + 0.0595939i
\(244\) 0.354566 + 0.119467i 0.0226987 + 0.00764810i
\(245\) −6.17192 37.6470i −0.394309 2.40518i
\(246\) 4.46440 + 4.22891i 0.284640 + 0.269625i
\(247\) 11.3056 5.23051i 0.719355 0.332809i
\(248\) −0.733809 + 0.557827i −0.0465969 + 0.0354221i
\(249\) −0.0295907 + 0.180496i −0.00187524 + 0.0114384i
\(250\) −7.93138 + 14.9602i −0.501624 + 0.946164i
\(251\) −6.68633 + 1.47177i −0.422037 + 0.0928974i −0.420911 0.907102i \(-0.638290\pi\)
−0.00112620 + 0.999999i \(0.500358\pi\)
\(252\) −0.282385 0.130645i −0.0177886 0.00822988i
\(253\) −1.07927 2.70876i −0.0678531 0.170299i
\(254\) −0.516420 9.52481i −0.0324031 0.597640i
\(255\) 2.59943 + 3.83388i 0.162783 + 0.240087i
\(256\) −0.924481 1.08838i −0.0577801 0.0680240i
\(257\) −1.98976 3.75309i −0.124118 0.234111i 0.813665 0.581335i \(-0.197469\pi\)
−0.937782 + 0.347224i \(0.887124\pi\)
\(258\) −7.13178 + 2.40298i −0.444005 + 0.149603i
\(259\) 2.09070 38.5606i 0.129910 2.39604i
\(260\) −0.178167 + 0.107199i −0.0110494 + 0.00664823i
\(261\) −0.0130899 0.0471456i −0.000810245 0.00291824i
\(262\) 2.79024 10.0495i 0.172382 0.620863i
\(263\) −5.88060 3.53824i −0.362613 0.218177i 0.322574 0.946544i \(-0.395452\pi\)
−0.685187 + 0.728367i \(0.740280\pi\)
\(264\) 7.76411 11.4512i 0.477848 0.704773i
\(265\) −19.1045 + 2.07774i −1.17358 + 0.127634i
\(266\) 48.5215 5.27703i 2.97505 0.323556i
\(267\) 3.52147 5.19378i 0.215511 0.317854i
\(268\) 0.0417315 + 0.0251090i 0.00254916 + 0.00153378i
\(269\) −1.18620 + 4.27232i −0.0723240 + 0.260488i −0.990869 0.134829i \(-0.956951\pi\)
0.918545 + 0.395317i \(0.129365\pi\)
\(270\) 0.700500 + 2.52297i 0.0426311 + 0.153543i
\(271\) −9.36571 + 5.63516i −0.568926 + 0.342312i −0.770777 0.637105i \(-0.780132\pi\)
0.201851 + 0.979416i \(0.435304\pi\)
\(272\) 0.517282 9.54071i 0.0313648 0.578491i
\(273\) 9.19633 3.09860i 0.556587 0.187536i
\(274\) 14.9080 + 28.1195i 0.900625 + 1.69876i
\(275\) −4.57908 5.39091i −0.276129 0.325084i
\(276\) 0.0202082 + 0.0298048i 0.00121639 + 0.00179404i
\(277\) 0.0476497 + 0.878848i 0.00286300 + 0.0528048i 0.999616 0.0277176i \(-0.00882390\pi\)
−0.996753 + 0.0805224i \(0.974341\pi\)
\(278\) 9.63396 + 24.1794i 0.577807 + 1.45019i
\(279\) 0.291594 + 0.134906i 0.0174573 + 0.00807659i
\(280\) −27.5159 + 6.05671i −1.64439 + 0.361958i
\(281\) −8.52925 + 16.0879i −0.508813 + 0.959722i 0.487434 + 0.873160i \(0.337933\pi\)
−0.996246 + 0.0865623i \(0.972412\pi\)
\(282\) −0.716018 + 4.36752i −0.0426382 + 0.260082i
\(283\) −12.8865 + 9.79610i −0.766026 + 0.582318i −0.913543 0.406742i \(-0.866665\pi\)
0.147517 + 0.989059i \(0.452872\pi\)
\(284\) −0.219351 + 0.101482i −0.0130161 + 0.00602187i
\(285\) 9.15191 + 8.66915i 0.542112 + 0.513516i
\(286\) 2.01864 + 12.3132i 0.119365 + 0.728093i
\(287\) 21.8562 + 7.36421i 1.29013 + 0.434696i
\(288\) −0.124654 + 0.312857i −0.00734529 + 0.0184353i
\(289\) 7.93332 7.51484i 0.466666 0.442049i
\(290\) −0.101993 0.0775328i −0.00598921 0.00455288i
\(291\) 16.1234 + 3.54903i 0.945171 + 0.208048i
\(292\) −0.443176 + 0.521747i −0.0259349 + 0.0305329i
\(293\) 24.1276 + 2.62404i 1.40955 + 0.153298i 0.781030 0.624494i \(-0.214695\pi\)
0.628522 + 0.777792i \(0.283660\pi\)
\(294\) 28.2718 1.64884
\(295\) 10.2181 10.2006i 0.594923 0.593900i
\(296\) −21.2060 −1.23257
\(297\) −4.79409 0.521389i −0.278182 0.0302541i
\(298\) 0.480562 0.565762i 0.0278382 0.0327737i
\(299\) −1.09686 0.241437i −0.0634330 0.0139627i
\(300\) 0.0695395 + 0.0528625i 0.00401486 + 0.00305202i
\(301\) −20.4917 + 19.4108i −1.18112 + 1.11882i
\(302\) −4.43301 + 11.1260i −0.255091 + 0.640231i
\(303\) −17.0973 5.76074i −0.982212 0.330946i
\(304\) −4.20683 25.6605i −0.241278 1.47173i
\(305\) −8.57346 8.12122i −0.490915 0.465019i
\(306\) −3.11542 + 1.44135i −0.178097 + 0.0823964i
\(307\) −21.1585 + 16.0843i −1.20758 + 0.917980i −0.998207 0.0598559i \(-0.980936\pi\)
−0.209374 + 0.977836i \(0.567143\pi\)
\(308\) 0.242744 1.48067i 0.0138316 0.0843693i
\(309\) −0.855926 + 1.61445i −0.0486919 + 0.0918427i
\(310\) 0.821598 0.180847i 0.0466636 0.0102714i
\(311\) 1.12910 + 0.522376i 0.0640252 + 0.0296212i 0.451640 0.892200i \(-0.350839\pi\)
−0.387615 + 0.921821i \(0.626701\pi\)
\(312\) −1.97245 4.95048i −0.111668 0.280266i
\(313\) −0.00979955 0.180742i −0.000553903 0.0102161i 0.998243 0.0592463i \(-0.0188697\pi\)
−0.998797 + 0.0490301i \(0.984387\pi\)
\(314\) 1.20986 + 1.78441i 0.0682762 + 0.100700i
\(315\) 6.35766 + 7.48482i 0.358214 + 0.421722i
\(316\) 0.275768 + 0.520153i 0.0155132 + 0.0292609i
\(317\) 11.6025 3.90934i 0.651661 0.219570i 0.0259960 0.999662i \(-0.491724\pi\)
0.625665 + 0.780092i \(0.284828\pi\)
\(318\) 0.771012 14.2205i 0.0432362 0.797445i
\(319\) 0.202179 0.121647i 0.0113198 0.00681091i
\(320\) 4.13553 + 14.8948i 0.231183 + 0.832646i
\(321\) 4.69890 16.9239i 0.262267 0.944600i
\(322\) −3.77062 2.26870i −0.210128 0.126430i
\(323\) −9.27432 + 13.6786i −0.516037 + 0.761097i
\(324\) 0.0592051 0.00643894i 0.00328917 0.000357719i
\(325\) −2.70845 + 0.294561i −0.150238 + 0.0163393i
\(326\) 10.8198 15.9580i 0.599253 0.883831i
\(327\) 4.15932 + 2.50258i 0.230011 + 0.138393i
\(328\) 3.38823 12.2033i 0.187084 0.673814i
\(329\) 4.44078 + 15.9942i 0.244828 + 0.881791i
\(330\) −10.8195 + 6.50987i −0.595593 + 0.358356i
\(331\) 0.278426 5.13526i 0.0153037 0.282259i −0.980858 0.194725i \(-0.937619\pi\)
0.996162 0.0875342i \(-0.0278987\pi\)
\(332\) 0.0103226 0.00347808i 0.000566524 0.000190884i
\(333\) 3.46226 + 6.53052i 0.189731 + 0.357870i
\(334\) −10.6427 12.5295i −0.582342 0.685586i
\(335\) −0.862658 1.27232i −0.0471320 0.0695145i
\(336\) −1.09671 20.2276i −0.0598302 1.10350i
\(337\) 11.8206 + 29.6675i 0.643909 + 1.61609i 0.780278 + 0.625432i \(0.215077\pi\)
−0.136369 + 0.990658i \(0.543543\pi\)
\(338\) −12.0734 5.58576i −0.656707 0.303825i
\(339\) −10.3112 + 2.26968i −0.560030 + 0.123272i
\(340\) 0.129214 0.243723i 0.00700759 0.0132177i
\(341\) −0.250660 + 1.52896i −0.0135740 + 0.0827978i
\(342\) −7.43713 + 5.65356i −0.402154 + 0.305709i
\(343\) 63.0432 29.1669i 3.40401 1.57486i
\(344\) 11.2527 + 10.6591i 0.606704 + 0.574700i
\(345\) −0.183876 1.12159i −0.00989953 0.0603845i
\(346\) −28.3238 9.54339i −1.52270 0.513056i
\(347\) 6.10959 15.3339i 0.327980 0.823168i −0.668834 0.743411i \(-0.733206\pi\)
0.996814 0.0797564i \(-0.0254142\pi\)
\(348\) −0.00211550 + 0.00200391i −0.000113403 + 0.000107421i
\(349\) −1.77900 1.35236i −0.0952278 0.0723903i 0.556477 0.830863i \(-0.312153\pi\)
−0.651705 + 0.758473i \(0.725946\pi\)
\(350\) −10.4251 2.29473i −0.557243 0.122658i
\(351\) −1.20249 + 1.41568i −0.0641843 + 0.0755636i
\(352\) −1.61454 0.175592i −0.0860551 0.00935906i
\(353\) −25.7746 −1.37184 −0.685921 0.727676i \(-0.740600\pi\)
−0.685921 + 0.727676i \(0.740600\pi\)
\(354\) 6.23474 + 8.69565i 0.331373 + 0.462168i
\(355\) 7.62836 0.404871
\(356\) −0.371514 0.0404046i −0.0196902 0.00214144i
\(357\) −8.33477 + 9.81245i −0.441123 + 0.519330i
\(358\) −17.3813 3.82592i −0.918632 0.202206i
\(359\) 11.8347 + 8.99653i 0.624613 + 0.474819i 0.868969 0.494867i \(-0.164783\pi\)
−0.244355 + 0.969686i \(0.578576\pi\)
\(360\) 3.91512 3.70860i 0.206345 0.195460i
\(361\) −9.61471 + 24.1311i −0.506038 + 1.27006i
\(362\) −0.0156726 0.00528072i −0.000823734 0.000277548i
\(363\) −1.98267 12.0937i −0.104063 0.634757i
\(364\) −0.419577 0.397444i −0.0219918 0.0208317i
\(365\) 19.6097 9.07240i 1.02642 0.474871i
\(366\) 6.96706 5.29622i 0.364174 0.276838i
\(367\) 3.37761 20.6025i 0.176310 1.07544i −0.739301 0.673375i \(-0.764844\pi\)
0.915611 0.402066i \(-0.131708\pi\)
\(368\) −1.09816 + 2.07135i −0.0572456 + 0.107977i
\(369\) −4.31127 + 0.948981i −0.224436 + 0.0494020i
\(370\) 17.5653 + 8.12658i 0.913177 + 0.422481i
\(371\) −19.7702 49.6195i −1.02642 2.57612i
\(372\) −0.00103590 0.0191060i −5.37089e−5 0.000990602i
\(373\) 6.77738 + 9.99589i 0.350920 + 0.517568i 0.961653 0.274268i \(-0.0884357\pi\)
−0.610734 + 0.791836i \(0.709125\pi\)
\(374\) −10.7166 12.6166i −0.554143 0.652388i
\(375\) −5.69374 10.7395i −0.294024 0.554588i
\(376\) 8.63806 2.91050i 0.445474 0.150098i
\(377\) 0.00492034 0.0907503i 0.000253410 0.00467388i
\(378\) −6.23599 + 3.75207i −0.320745 + 0.192986i
\(379\) 6.26802 + 22.5754i 0.321967 + 1.15962i 0.930561 + 0.366137i \(0.119320\pi\)
−0.608594 + 0.793482i \(0.708266\pi\)
\(380\) 0.200845 0.723377i 0.0103031 0.0371084i
\(381\) 5.86748 + 3.53034i 0.300600 + 0.180865i
\(382\) 7.67068 11.3134i 0.392466 0.578844i
\(383\) −2.02745 + 0.220498i −0.103598 + 0.0112669i −0.159771 0.987154i \(-0.551076\pi\)
0.0561733 + 0.998421i \(0.482110\pi\)
\(384\) −10.7190 + 1.16576i −0.547002 + 0.0594901i
\(385\) −26.5767 + 39.1977i −1.35448 + 1.99770i
\(386\) 17.3484 + 10.4382i 0.883012 + 0.531290i
\(387\) 1.44533 5.20562i 0.0734704 0.264616i
\(388\) −0.263035 0.947366i −0.0133536 0.0480952i
\(389\) 6.20899 3.73583i 0.314808 0.189414i −0.349376 0.936983i \(-0.613606\pi\)
0.664185 + 0.747569i \(0.268779\pi\)
\(390\) −0.263309 + 4.85645i −0.0133332 + 0.245916i
\(391\) 1.41202 0.475764i 0.0714087 0.0240604i
\(392\) −27.2741 51.4445i −1.37755 2.59834i
\(393\) 4.84713 + 5.70649i 0.244505 + 0.287854i
\(394\) 12.7178 + 18.7574i 0.640715 + 0.944984i
\(395\) −1.00601 18.5548i −0.0506180 0.933594i
\(396\) 0.106301 + 0.266795i 0.00534181 + 0.0134069i
\(397\) −33.3945 15.4500i −1.67602 0.775411i −0.999230 0.0392385i \(-0.987507\pi\)
−0.676794 0.736173i \(-0.736631\pi\)
\(398\) 8.99994 1.98104i 0.451126 0.0993003i
\(399\) −16.4120 + 30.9563i −0.821628 + 1.54975i
\(400\) −0.920068 + 5.61217i −0.0460034 + 0.280608i
\(401\) 4.82103 3.66485i 0.240751 0.183014i −0.477840 0.878447i \(-0.658580\pi\)
0.718591 + 0.695433i \(0.244787\pi\)
\(402\) 1.03390 0.478331i 0.0515661 0.0238570i
\(403\) 0.433259 + 0.410405i 0.0215822 + 0.0204437i
\(404\) 0.173828 + 1.06030i 0.00864826 + 0.0527521i
\(405\) −1.78130 0.600189i −0.0885135 0.0298237i
\(406\) 0.131804 0.330803i 0.00654131 0.0164175i
\(407\) −25.8779 + 24.5128i −1.28272 + 1.21506i
\(408\) 5.62823 + 4.27847i 0.278639 + 0.211816i
\(409\) −3.31774 0.730289i −0.164052 0.0361105i 0.132185 0.991225i \(-0.457801\pi\)
−0.296237 + 0.955115i \(0.595732\pi\)
\(410\) −7.48308 + 8.80977i −0.369563 + 0.435083i
\(411\) −22.7138 2.47028i −1.12039 0.121850i
\(412\) 0.108824 0.00536136
\(413\) 34.9166 + 19.7806i 1.71813 + 0.973342i
\(414\) 0.842282 0.0413959
\(415\) −0.341790 0.0371719i −0.0167778 0.00182470i
\(416\) −0.404971 + 0.476768i −0.0198553 + 0.0233755i
\(417\) −18.2480 4.01670i −0.893610 0.196699i
\(418\) −35.8645 27.2635i −1.75419 1.33350i
\(419\) −9.66256 + 9.15287i −0.472047 + 0.447147i −0.886366 0.462985i \(-0.846778\pi\)
0.414319 + 0.910132i \(0.364020\pi\)
\(420\) 0.216476 0.543314i 0.0105630 0.0265110i
\(421\) 26.7805 + 9.02340i 1.30520 + 0.439774i 0.884125 0.467251i \(-0.154756\pi\)
0.421077 + 0.907025i \(0.361652\pi\)
\(422\) −3.00365 18.3214i −0.146215 0.891873i
\(423\) −2.30662 2.18495i −0.112152 0.106236i
\(424\) −26.6200 + 12.3157i −1.29278 + 0.598104i
\(425\) 2.87742 2.18736i 0.139575 0.106102i
\(426\) −0.914586 + 5.57873i −0.0443118 + 0.270290i
\(427\) 15.3747 28.9997i 0.744033 1.40340i
\(428\) −1.02156 + 0.224863i −0.0493791 + 0.0108692i
\(429\) −8.12945 3.76108i −0.392494 0.181587i
\(430\) −5.23600 13.1414i −0.252503 0.633734i
\(431\) −0.188146 3.47015i −0.00906268 0.167151i −0.999561 0.0296267i \(-0.990568\pi\)
0.990498 0.137525i \(-0.0439146\pi\)
\(432\) 2.17592 + 3.20924i 0.104689 + 0.154404i
\(433\) −6.58440 7.75175i −0.316426 0.372525i 0.580839 0.814019i \(-0.302725\pi\)
−0.897265 + 0.441493i \(0.854449\pi\)
\(434\) 1.09526 + 2.06588i 0.0525742 + 0.0991654i
\(435\) 0.0871573 0.0293667i 0.00417887 0.00140803i
\(436\) 0.0156508 0.288662i 0.000749536 0.0138244i
\(437\) 3.47461 2.09060i 0.166213 0.100007i
\(438\) 4.28372 + 15.4286i 0.204684 + 0.737205i
\(439\) 0.621401 2.23809i 0.0296579 0.106818i −0.947240 0.320526i \(-0.896140\pi\)
0.976898 + 0.213708i \(0.0685541\pi\)
\(440\) 22.2833 + 13.4074i 1.06231 + 0.639174i
\(441\) −11.3896 + 16.7985i −0.542364 + 0.799927i
\(442\) −6.33869 + 0.689374i −0.301501 + 0.0327902i
\(443\) −16.2743 + 1.76993i −0.773213 + 0.0840920i −0.486215 0.873839i \(-0.661623\pi\)
−0.286998 + 0.957931i \(0.592657\pi\)
\(444\) 0.247033 0.364347i 0.0117237 0.0172911i
\(445\) 10.1068 + 6.08104i 0.479107 + 0.288269i
\(446\) 7.07187 25.4706i 0.334863 1.20607i
\(447\) 0.142563 + 0.513464i 0.00674298 + 0.0242860i
\(448\) −36.8153 + 22.1510i −1.73936 + 1.04654i
\(449\) −0.466728 + 8.60830i −0.0220263 + 0.406251i 0.966642 + 0.256132i \(0.0824483\pi\)
−0.988668 + 0.150118i \(0.952034\pi\)
\(450\) 1.93622 0.652390i 0.0912744 0.0307539i
\(451\) −9.97157 18.8084i −0.469543 0.885652i
\(452\) 0.407062 + 0.479231i 0.0191466 + 0.0225411i
\(453\) −4.82494 7.11626i −0.226696 0.334351i
\(454\) −0.525446 9.69128i −0.0246604 0.454834i
\(455\) 6.75175 + 16.9456i 0.316527 + 0.794423i
\(456\) 17.4621 + 8.07884i 0.817739 + 0.378326i
\(457\) 36.3464 8.00045i 1.70021 0.374245i 0.744290 0.667857i \(-0.232788\pi\)
0.955925 + 0.293612i \(0.0948572\pi\)
\(458\) −11.9378 + 22.5170i −0.557815 + 1.05215i
\(459\) 0.398670 2.43178i 0.0186083 0.113506i
\(460\) −0.0538853 + 0.0409625i −0.00251241 + 0.00190989i
\(461\) 10.0710 4.65933i 0.469052 0.217007i −0.171102 0.985253i \(-0.554733\pi\)
0.640154 + 0.768247i \(0.278871\pi\)
\(462\) −25.4795 24.1355i −1.18541 1.12288i
\(463\) −2.36342 14.4162i −0.109837 0.669979i −0.983147 0.182814i \(-0.941479\pi\)
0.873310 0.487165i \(-0.161969\pi\)
\(464\) −0.179784 0.0605762i −0.00834626 0.00281218i
\(465\) −0.223536 + 0.561032i −0.0103662 + 0.0260172i
\(466\) 10.6891 10.1253i 0.495163 0.469043i
\(467\) −10.4467 7.94140i −0.483417 0.367484i 0.334897 0.942255i \(-0.391298\pi\)
−0.818315 + 0.574770i \(0.805091\pi\)
\(468\) 0.108033 + 0.0237799i 0.00499383 + 0.00109923i
\(469\) 2.76601 3.25640i 0.127722 0.150366i
\(470\) −8.27042 0.899463i −0.381486 0.0414891i
\(471\) −1.54766 −0.0713124
\(472\) 9.80822 19.7338i 0.451460 0.908322i
\(473\) 26.0530 1.19792
\(474\) 13.6900 + 1.48888i 0.628803 + 0.0683865i
\(475\) 6.36809 7.49710i 0.292188 0.343990i
\(476\) 0.748805 + 0.164824i 0.0343214 + 0.00755471i
\(477\) 8.13888 + 6.18702i 0.372654 + 0.283284i
\(478\) 13.5010 12.7888i 0.617521 0.584947i
\(479\) −5.57561 + 13.9937i −0.254756 + 0.639390i −0.999613 0.0278350i \(-0.991139\pi\)
0.744856 + 0.667225i \(0.232518\pi\)
\(480\) −0.599899 0.202130i −0.0273815 0.00922591i
\(481\) 2.22118 + 13.5486i 0.101277 + 0.617763i
\(482\) 5.28420 + 5.00546i 0.240689 + 0.227992i
\(483\) 2.86705 1.32644i 0.130455 0.0603551i
\(484\) −0.581027 + 0.441685i −0.0264103 + 0.0200766i
\(485\) −5.02052 + 30.6238i −0.227970 + 1.39056i
\(486\) 0.652492 1.23073i 0.0295977 0.0558271i
\(487\) 6.57136 1.44647i 0.297777 0.0655456i −0.0635692 0.997977i \(-0.520248\pi\)
0.361346 + 0.932432i \(0.382317\pi\)
\(488\) −16.3584 7.56822i −0.740511 0.342597i
\(489\) 5.12300 + 12.8578i 0.231670 + 0.581448i
\(490\) 2.87707 + 53.0644i 0.129973 + 2.39720i
\(491\) −8.08106 11.9187i −0.364693 0.537882i 0.600430 0.799677i \(-0.294996\pi\)
−0.965124 + 0.261795i \(0.915686\pi\)
\(492\) 0.170198 + 0.200373i 0.00767313 + 0.00903350i
\(493\) 0.0564775 + 0.106528i 0.00254362 + 0.00479777i
\(494\) −16.4441 + 5.54065i −0.739854 + 0.249286i
\(495\) 0.490746 9.05128i 0.0220574 0.406825i
\(496\) 1.06743 0.642250i 0.0479289 0.0288379i
\(497\) 5.67231 + 20.4298i 0.254438 + 0.916402i
\(498\) 0.0681626 0.245500i 0.00305444 0.0110011i
\(499\) 0.949152 + 0.571086i 0.0424899 + 0.0255653i 0.536640 0.843811i \(-0.319693\pi\)
−0.494150 + 0.869376i \(0.664521\pi\)
\(500\) −0.406250 + 0.599174i −0.0181681 + 0.0267959i
\(501\) 11.7323 1.27597i 0.524161 0.0570060i
\(502\) 9.48111 1.03113i 0.423163 0.0460217i
\(503\) 20.7817 30.6508i 0.926612 1.36665i −0.00374357 0.999993i \(-0.501192\pi\)
0.930356 0.366658i \(-0.119498\pi\)
\(504\) 12.8434 + 7.72760i 0.572089 + 0.344215i
\(505\) 9.07265 32.6767i 0.403728 1.45410i
\(506\) 1.08664 + 3.91373i 0.0483072 + 0.173987i
\(507\) 8.18286 4.92347i 0.363414 0.218659i
\(508\) 0.0220783 0.407210i 0.000979565 0.0180670i
\(509\) −4.98611 + 1.68001i −0.221005 + 0.0744653i −0.427626 0.903956i \(-0.640650\pi\)
0.206621 + 0.978421i \(0.433753\pi\)
\(510\) −3.02236 5.70078i −0.133832 0.252435i
\(511\) 38.8786 + 45.7714i 1.71989 + 2.02481i
\(512\) 13.2180 + 19.4951i 0.584159 + 0.861570i
\(513\) −0.363078 6.69658i −0.0160303 0.295661i
\(514\) 2.19023 + 5.49707i 0.0966071 + 0.242466i
\(515\) −3.11732 1.44223i −0.137366 0.0635521i
\(516\) −0.314222 + 0.0691655i −0.0138328 + 0.00304484i
\(517\) 7.17675 13.5368i 0.315633 0.595347i
\(518\) −8.70287 + 53.0852i −0.382382 + 2.33243i
\(519\) 17.0811 12.9847i 0.749775 0.569964i
\(520\) 9.09102 4.20595i 0.398668 0.184443i
\(521\) −20.8668 19.7661i −0.914193 0.865969i 0.0771834 0.997017i \(-0.475407\pi\)
−0.991376 + 0.131048i \(0.958166\pi\)
\(522\) 0.0110268 + 0.0672602i 0.000482628 + 0.00294390i
\(523\) 25.0700 + 8.44706i 1.09623 + 0.369364i 0.808590 0.588373i \(-0.200231\pi\)
0.287644 + 0.957737i \(0.407128\pi\)
\(524\) 0.165043 0.414227i 0.00720995 0.0180956i
\(525\) 5.56334 5.26988i 0.242804 0.229996i
\(526\) 7.61075 + 5.78554i 0.331845 + 0.252262i
\(527\) −0.773223 0.170199i −0.0336821 0.00741400i
\(528\) −12.1048 + 14.2509i −0.526794 + 0.620190i
\(529\) 22.5017 + 2.44721i 0.978335 + 0.106400i
\(530\) 26.7694 1.16279
\(531\) −7.67851 + 0.201396i −0.333219 + 0.00873985i
\(532\) 2.08665 0.0904677
\(533\) −8.15162 0.886543i −0.353086 0.0384004i
\(534\) −5.65888 + 6.66215i −0.244884 + 0.288300i
\(535\) 32.2433 + 7.09729i 1.39400 + 0.306843i
\(536\) −1.86780 1.41987i −0.0806768 0.0613289i
\(537\) 9.27557 8.78629i 0.400270 0.379156i
\(538\) 2.28614 5.73779i 0.0985627 0.247374i
\(539\) −92.7495 31.2510i −3.99500 1.34607i
\(540\) 0.0181105 + 0.110469i 0.000779351 + 0.00475383i
\(541\) −27.4538 26.0056i −1.18033 1.11807i −0.990679 0.136219i \(-0.956505\pi\)
−0.189653 0.981851i \(-0.560736\pi\)
\(542\) 13.8187 6.39319i 0.593562 0.274611i
\(543\) 0.00945160 0.00718492i 0.000405607 0.000308334i
\(544\) 0.134263 0.818966i 0.00575647 0.0351129i
\(545\) −4.27392 + 8.06146i −0.183074 + 0.345315i
\(546\) −13.2021 + 2.90599i −0.564996 + 0.124365i
\(547\) 11.0546 + 5.11440i 0.472660 + 0.218676i 0.641734 0.766928i \(-0.278215\pi\)
−0.169074 + 0.985603i \(0.554078\pi\)
\(548\) 0.503640 + 1.26404i 0.0215144 + 0.0539971i
\(549\) 0.340130 + 6.27332i 0.0145164 + 0.267739i
\(550\) 5.52934 + 8.15517i 0.235772 + 0.347738i
\(551\) 0.212432 + 0.250095i 0.00904993 + 0.0106544i
\(552\) −0.812560 1.53265i −0.0345848 0.0652339i
\(553\) 48.9443 16.4913i 2.08133 0.701280i
\(554\) 0.0663760 1.22423i 0.00282005 0.0520127i
\(555\) −11.9050 + 7.16303i −0.505341 + 0.304054i
\(556\) 0.297696 + 1.07220i 0.0126251 + 0.0454715i
\(557\) −7.86628 + 28.3318i −0.333305 + 1.20046i 0.587108 + 0.809509i \(0.300266\pi\)
−0.920413 + 0.390948i \(0.872147\pi\)
\(558\) −0.383491 0.230739i −0.0162344 0.00976794i
\(559\) 5.63150 8.30584i 0.238187 0.351300i
\(560\) 37.8543 4.11690i 1.59964 0.173971i
\(561\) 11.8138 1.28483i 0.498780 0.0542456i
\(562\) 14.2346 20.9944i 0.600450 0.885597i
\(563\) −10.0851 6.06799i −0.425035 0.255735i 0.286928 0.957952i \(-0.407366\pi\)
−0.711963 + 0.702217i \(0.752194\pi\)
\(564\) −0.0506204 + 0.182318i −0.00213150 + 0.00767697i
\(565\) −5.30936 19.1226i −0.223367 0.804493i
\(566\) 19.3211 11.6251i 0.812127 0.488640i
\(567\) 0.282850 5.21686i 0.0118786 0.219087i
\(568\) 11.0336 3.71765i 0.462959 0.155989i
\(569\) 21.8091 + 41.1363i 0.914284 + 1.72452i 0.649752 + 0.760146i \(0.274873\pi\)
0.264532 + 0.964377i \(0.414783\pi\)
\(570\) −11.3682 13.3837i −0.476162 0.560581i
\(571\) −7.95335 11.7303i −0.332837 0.490898i 0.624039 0.781393i \(-0.285490\pi\)
−0.956877 + 0.290495i \(0.906180\pi\)
\(572\) 0.0288802 + 0.532664i 0.00120754 + 0.0222718i
\(573\) 3.63194 + 9.11549i 0.151727 + 0.380805i
\(574\) −29.1581 13.4900i −1.21703 0.563060i
\(575\) −0.866139 + 0.190652i −0.0361205 + 0.00795072i
\(576\) 3.85211 7.26584i 0.160504 0.302743i
\(577\) −2.61962 + 15.9790i −0.109056 + 0.665213i 0.874557 + 0.484922i \(0.161152\pi\)
−0.983613 + 0.180291i \(0.942296\pi\)
\(578\) −12.1181 + 9.21196i −0.504048 + 0.383167i
\(579\) −13.1912 + 6.10289i −0.548207 + 0.253627i
\(580\) −0.00397650 0.00376674i −0.000165115 0.000156405i
\(581\) −0.154597 0.943003i −0.00641379 0.0391224i
\(582\) −21.7937 7.34316i −0.903378 0.304384i
\(583\) −18.2484 + 45.8000i −0.755771 + 1.89684i
\(584\) 23.9419 22.6789i 0.990722 0.938461i
\(585\) −2.77952 2.11294i −0.114919 0.0873592i
\(586\) −33.0175 7.26771i −1.36394 0.300226i
\(587\) −25.5676 + 30.1005i −1.05529 + 1.24238i −0.0860415 + 0.996292i \(0.527422\pi\)
−0.969247 + 0.246090i \(0.920854\pi\)
\(588\) 1.20160 + 0.130682i 0.0495533 + 0.00538925i
\(589\) −2.15470 −0.0887827
\(590\) −15.6867 + 12.5871i −0.645812 + 0.518204i
\(591\) −16.2688 −0.669207
\(592\) 28.4916 + 3.09864i 1.17100 + 0.127353i
\(593\) 8.90845 10.4878i 0.365826 0.430684i −0.548195 0.836351i \(-0.684685\pi\)
0.914021 + 0.405667i \(0.132961\pi\)
\(594\) 6.56049 + 1.44407i 0.269180 + 0.0592511i
\(595\) −19.2656 14.6453i −0.789811 0.600398i
\(596\) 0.0230400 0.0218246i 0.000943754 0.000893971i
\(597\) −2.44865 + 6.14565i −0.100217 + 0.251525i
\(598\) 1.48260 + 0.499548i 0.0606282 + 0.0204280i
\(599\) 4.56275 + 27.8315i 0.186429 + 1.13717i 0.899775 + 0.436354i \(0.143731\pi\)
−0.713346 + 0.700812i \(0.752821\pi\)
\(600\) −3.05501 2.89386i −0.124720 0.118141i
\(601\) 15.4373 7.14205i 0.629700 0.291330i −0.0789628 0.996878i \(-0.525161\pi\)
0.708663 + 0.705547i \(0.249299\pi\)
\(602\) 31.3011 23.7945i 1.27574 0.969789i
\(603\) −0.132304 + 0.807020i −0.00538784 + 0.0328644i
\(604\) −0.239840 + 0.452386i −0.00975895 + 0.0184073i
\(605\) 22.4974 4.95206i 0.914651 0.201330i
\(606\) 22.8092 + 10.5527i 0.926561 + 0.428673i
\(607\) −3.65604 9.17597i −0.148394 0.372441i 0.835924 0.548846i \(-0.184933\pi\)
−0.984318 + 0.176405i \(0.943553\pi\)
\(608\) −0.122276 2.25525i −0.00495895 0.0914625i
\(609\) 0.143457 + 0.211583i 0.00581316 + 0.00857377i
\(610\) 10.6497 + 12.5378i 0.431193 + 0.507640i
\(611\) −2.76431 5.21404i −0.111832 0.210937i
\(612\) −0.139074 + 0.0468594i −0.00562173 + 0.00189418i
\(613\) −1.52335 + 28.0965i −0.0615274 + 1.13481i 0.790895 + 0.611952i \(0.209615\pi\)
−0.852422 + 0.522854i \(0.824867\pi\)
\(614\) 31.7235 19.0874i 1.28026 0.770304i
\(615\) −2.21991 7.99541i −0.0895155 0.322406i
\(616\) −19.3375 + 69.6474i −0.779130 + 2.80617i
\(617\) −30.0046 18.0532i −1.20794 0.726793i −0.238266 0.971200i \(-0.576579\pi\)
−0.969673 + 0.244407i \(0.921407\pi\)
\(618\) 1.42847 2.10683i 0.0574613 0.0847491i
\(619\) 23.8924 2.59845i 0.960316 0.104441i 0.385486 0.922714i \(-0.374034\pi\)
0.574830 + 0.818273i \(0.305068\pi\)
\(620\) 0.0357554 0.00388864i 0.00143597 0.000156171i
\(621\) −0.339324 + 0.500465i −0.0136166 + 0.0200830i
\(622\) −1.48494 0.893457i −0.0595405 0.0358243i
\(623\) −8.77067 + 31.5891i −0.351390 + 1.26559i
\(624\) 1.92674 + 6.93949i 0.0771313 + 0.277802i
\(625\) 13.2941 7.99878i 0.531763 0.319951i
\(626\) −0.0136508 + 0.251773i −0.000545594 + 0.0100629i
\(627\) 30.6478 10.3265i 1.22396 0.412399i
\(628\) 0.0431730 + 0.0814330i 0.00172279 + 0.00324953i
\(629\) −11.7919 13.8825i −0.470172 0.553530i
\(630\) −7.67701 11.3227i −0.305860 0.451109i
\(631\) −0.380185 7.01209i −0.0151349 0.279147i −0.996298 0.0859661i \(-0.972602\pi\)
0.981163 0.193181i \(-0.0618804\pi\)
\(632\) −10.4977 26.3473i −0.417576 1.04804i
\(633\) 12.0962 + 5.59632i 0.480782 + 0.222434i
\(634\) −16.6563 + 3.66633i −0.661506 + 0.145609i
\(635\) −6.02914 + 11.3722i −0.239259 + 0.451290i
\(636\) 0.0985017 0.600834i 0.00390585 0.0238246i
\(637\) −30.0113 + 22.8140i −1.18909 + 0.903924i
\(638\) −0.298305 + 0.138010i −0.0118100 + 0.00546389i
\(639\) −2.94630 2.79089i −0.116554 0.110406i
\(640\) −3.27888 20.0003i −0.129609 0.790581i
\(641\) −1.28882 0.434254i −0.0509054 0.0171520i 0.293734 0.955887i \(-0.405102\pi\)
−0.344639 + 0.938735i \(0.611999\pi\)
\(642\) −9.05609 + 22.7291i −0.357416 + 0.897045i
\(643\) −11.6633 + 11.0481i −0.459956 + 0.435694i −0.882261 0.470760i \(-0.843980\pi\)
0.422305 + 0.906454i \(0.361221\pi\)
\(644\) −0.149772 0.113853i −0.00590183 0.00448645i
\(645\) 9.91771 + 2.18305i 0.390509 + 0.0859576i
\(646\) 14.9035 17.5458i 0.586371 0.690329i
\(647\) 12.3356 + 1.34158i 0.484962 + 0.0527428i 0.347335 0.937741i \(-0.387087\pi\)
0.137627 + 0.990484i \(0.456052\pi\)
\(648\) −2.86896 −0.112703
\(649\) −10.8420 35.4190i −0.425585 1.39032i
\(650\) 3.79511 0.148857
\(651\) −1.66874 0.181486i −0.0654031 0.00711301i
\(652\) 0.533625 0.628232i 0.0208984 0.0246035i
\(653\) −22.6638 4.98869i −0.886905 0.195222i −0.251921 0.967748i \(-0.581062\pi\)
−0.634984 + 0.772525i \(0.718993\pi\)
\(654\) −5.38305 4.09209i −0.210494 0.160013i
\(655\) −10.2175 + 9.67849i −0.399229 + 0.378170i
\(656\) −6.33545 + 15.9008i −0.247358 + 0.620821i
\(657\) −10.8931 3.67030i −0.424978 0.143192i
\(658\) −3.74085 22.8182i −0.145834 0.889545i
\(659\) 2.46831 + 2.33811i 0.0961517 + 0.0910798i 0.734266 0.678862i \(-0.237527\pi\)
−0.638114 + 0.769942i \(0.720285\pi\)
\(660\) −0.489939 + 0.226670i −0.0190709 + 0.00882312i
\(661\) −27.2530 + 20.7172i −1.06002 + 0.805804i −0.981568 0.191114i \(-0.938790\pi\)
−0.0784494 + 0.996918i \(0.524997\pi\)
\(662\) −1.15899 + 7.06954i −0.0450455 + 0.274766i
\(663\) 2.14401 4.04403i 0.0832665 0.157057i
\(664\) −0.512478 + 0.112805i −0.0198880 + 0.00437768i
\(665\) −59.7733 27.6541i −2.31791 1.07238i
\(666\) −3.81110 9.56513i −0.147677 0.370641i
\(667\) −0.00160171 0.0295417i −6.20183e−5 0.00114386i
\(668\) −0.394418 0.581723i −0.0152605 0.0225076i
\(669\) 12.2851 + 14.4631i 0.474968 + 0.559176i
\(670\) 1.00301 + 1.89188i 0.0387497 + 0.0730898i
\(671\) −28.7107 + 9.67377i −1.10837 + 0.373452i
\(672\) 0.0952571 1.75691i 0.00367462 0.0677745i
\(673\) −0.880051 + 0.529509i −0.0339235 + 0.0204111i −0.532415 0.846484i \(-0.678715\pi\)
0.498491 + 0.866895i \(0.333888\pi\)
\(674\) −11.9014 42.8648i −0.458423 1.65109i
\(675\) −0.392396 + 1.41328i −0.0151033 + 0.0543973i
\(676\) −0.487324 0.293213i −0.0187432 0.0112774i
\(677\) 15.3069 22.5760i 0.588293 0.867667i −0.410735 0.911755i \(-0.634728\pi\)
0.999028 + 0.0440879i \(0.0140382\pi\)
\(678\) 14.6212 1.59015i 0.561523 0.0610693i
\(679\) −85.7480 + 9.32566i −3.29071 + 0.357886i
\(680\) −7.45766 + 10.9992i −0.285988 + 0.421801i
\(681\) 5.97003 + 3.59205i 0.228772 + 0.137647i
\(682\) 0.577399 2.07960i 0.0221097 0.0796321i
\(683\) −11.3480 40.8719i −0.434220 1.56392i −0.780109 0.625643i \(-0.784837\pi\)
0.345890 0.938275i \(-0.387577\pi\)
\(684\) −0.342225 + 0.205910i −0.0130853 + 0.00787316i
\(685\) 2.32509 42.8838i 0.0888373 1.63851i
\(686\) −91.6971 + 30.8963i −3.50101 + 1.17963i
\(687\) −8.56983 16.1644i −0.326959 0.616711i
\(688\) −13.5611 15.9654i −0.517013 0.608675i
\(689\) 10.6568 + 15.7176i 0.405992 + 0.598794i
\(690\) 0.0857145 + 1.58091i 0.00326309 + 0.0601842i
\(691\) −14.3159 35.9303i −0.544604 1.36685i −0.901529 0.432720i \(-0.857554\pi\)
0.356925 0.934133i \(-0.383825\pi\)
\(692\) −1.15970 0.536535i −0.0440852 0.0203960i
\(693\) 24.6055 5.41608i 0.934686 0.205740i
\(694\) −10.7702 + 20.3148i −0.408831 + 0.771137i
\(695\) 5.68209 34.6592i 0.215534 1.31470i
\(696\) 0.111752 0.0849515i 0.00423594 0.00322008i
\(697\) 9.87291 4.56770i 0.373963 0.173014i
\(698\) 2.25994 + 2.14073i 0.0855401 + 0.0810279i
\(699\) 1.70996 + 10.4303i 0.0646767 + 0.394511i
\(700\) −0.432478 0.145719i −0.0163461 0.00550765i
\(701\) −3.09999 + 7.78040i −0.117085 + 0.293862i −0.975826 0.218548i \(-0.929868\pi\)
0.858741 + 0.512410i \(0.171247\pi\)
\(702\) 1.87847 1.77938i 0.0708981 0.0671583i
\(703\) −39.4629 29.9990i −1.48837 1.13143i
\(704\) 38.7310 + 8.52535i 1.45973 + 0.321311i
\(705\) 3.86628 4.55174i 0.145613 0.171429i
\(706\) 35.6935 + 3.88190i 1.34334 + 0.146097i
\(707\) 94.2591 3.54498
\(708\) 0.224794 + 0.398401i 0.00844828 + 0.0149728i
\(709\) −14.3899 −0.540424 −0.270212 0.962801i \(-0.587094\pi\)
−0.270212 + 0.962801i \(0.587094\pi\)
\(710\) −10.5640 1.14890i −0.396460 0.0431176i
\(711\) −6.39985 + 7.53449i −0.240013 + 0.282565i
\(712\) 17.5819 + 3.87007i 0.658911 + 0.145037i
\(713\) 0.154656 + 0.117566i 0.00579190 + 0.00440289i
\(714\) 13.0201 12.3333i 0.487266 0.461563i
\(715\) 6.23203 15.6412i 0.233065 0.584948i
\(716\) −0.721055 0.242952i −0.0269471 0.00907954i
\(717\) 2.15979 + 13.1741i 0.0806588 + 0.491997i
\(718\) −15.0342 14.2411i −0.561070 0.531474i
\(719\) 21.8767 10.1212i 0.815863 0.377459i 0.0328476 0.999460i \(-0.489542\pi\)
0.783016 + 0.622002i \(0.213680\pi\)
\(720\) −5.80211 + 4.41065i −0.216232 + 0.164375i
\(721\) 1.54450 9.42104i 0.0575202 0.350858i
\(722\) 16.9492 31.9695i 0.630782 1.18978i
\(723\) −5.10294 + 1.12324i −0.189780 + 0.0417738i
\(724\) −0.000641707 0 0.000296885i −2.38488e−5 0 1.10336e-5i
\(725\) −0.0265635 0.0666695i −0.000986545 0.00247604i
\(726\) 0.924230 + 17.0464i 0.0343014 + 0.632652i
\(727\) −0.352880 0.520459i −0.0130876 0.0193027i 0.821089 0.570800i \(-0.193367\pi\)
−0.834177 + 0.551498i \(0.814057\pi\)
\(728\) 18.0241 + 21.2196i 0.668016 + 0.786449i
\(729\) 0.468408 + 0.883512i 0.0173485 + 0.0327227i
\(730\) −28.5225 + 9.61035i −1.05567 + 0.355695i
\(731\) −0.720761 + 13.2937i −0.0266583 + 0.491684i
\(732\) 0.320594 0.192895i 0.0118495 0.00712961i
\(733\) 3.81022 + 13.7232i 0.140734 + 0.506877i 0.999989 0.00466996i \(-0.00148650\pi\)
−0.859255 + 0.511547i \(0.829073\pi\)
\(734\) −7.78036 + 28.0223i −0.287178 + 1.03432i
\(735\) −32.6887 19.6682i −1.20574 0.725471i
\(736\) −0.114276 + 0.168545i −0.00421228 + 0.00621264i
\(737\) −3.92058 + 0.426388i −0.144416 + 0.0157062i
\(738\) 6.11331 0.664862i 0.225034 0.0244739i
\(739\) −8.63775 + 12.7397i −0.317745 + 0.468638i −0.952701 0.303910i \(-0.901708\pi\)
0.634956 + 0.772548i \(0.281018\pi\)
\(740\) 0.708995 + 0.426588i 0.0260632 + 0.0156817i
\(741\) 3.33257 12.0028i 0.122425 0.440935i
\(742\) 19.9053 + 71.6923i 0.730745 + 2.63191i
\(743\) −12.0162 + 7.22991i −0.440832 + 0.265240i −0.718620 0.695403i \(-0.755226\pi\)
0.277789 + 0.960642i \(0.410399\pi\)
\(744\) −0.0499033 + 0.920411i −0.00182954 + 0.0337439i
\(745\) −0.949232 + 0.319834i −0.0347772 + 0.0117178i
\(746\) −7.88007 14.8634i −0.288510 0.544187i
\(747\) 0.118410 + 0.139403i 0.00433240 + 0.00510050i
\(748\) −0.397158 0.585765i −0.0145215 0.0214177i
\(749\) 4.96801 + 91.6295i 0.181527 + 3.34807i
\(750\) 6.26741 + 15.7300i 0.228853 + 0.574379i
\(751\) 26.4395 + 12.2322i 0.964791 + 0.446360i 0.838061 0.545577i \(-0.183689\pi\)
0.126731 + 0.991937i \(0.459552\pi\)
\(752\) −12.0310 + 2.64823i −0.438727 + 0.0965711i
\(753\) −3.20691 + 6.04887i −0.116866 + 0.220433i
\(754\) −0.0204817 + 0.124933i −0.000745900 + 0.00454979i
\(755\) 12.8658 9.78030i 0.468233 0.355942i
\(756\) −0.282385 + 0.130645i −0.0102702 + 0.00475152i
\(757\) −12.0547 11.4189i −0.438137 0.415025i 0.436576 0.899668i \(-0.356191\pi\)
−0.874712 + 0.484642i \(0.838950\pi\)
\(758\) −5.28009 32.2071i −0.191782 1.16982i
\(759\) −2.76322 0.931038i −0.100299 0.0337945i
\(760\) −13.3865 + 33.5975i −0.485578 + 1.21871i
\(761\) 7.15806 6.78047i 0.259479 0.245792i −0.546890 0.837205i \(-0.684188\pi\)
0.806369 + 0.591413i \(0.201430\pi\)
\(762\) −7.59377 5.77264i −0.275093 0.209121i
\(763\) −24.7677 5.45179i −0.896652 0.197368i
\(764\) 0.378313 0.445385i 0.0136869 0.0161134i
\(765\) 4.60487 + 0.500810i 0.166490 + 0.0181068i
\(766\) 2.84088 0.102645
\(767\) −13.6353 4.19953i −0.492343 0.151636i
\(768\) −1.42802 −0.0515293
\(769\) −0.621242 0.0675642i −0.0224026 0.00243643i 0.0969109 0.995293i \(-0.469104\pi\)
−0.119313 + 0.992857i \(0.538069\pi\)
\(770\) 42.7079 50.2796i 1.53909 1.81195i
\(771\) −4.14860 0.913177i −0.149408 0.0328873i