Properties

Label 547.2.o.a.4.18
Level 547
Weight 2
Character 547.4
Analytic conductor 4.368
Analytic rank 0
Dimension 6480
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 547 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 547.o (of order \(273\), degree \(144\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36781699056\)
Analytic rank: \(0\)
Dimension: \(6480\)
Relative dimension: \(45\) over \(\Q(\zeta_{273})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{273}]$

Embedding invariants

Embedding label 4.18
Character \(\chi\) \(=\) 547.4
Dual form 547.2.o.a.137.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866936 - 0.00997685i) q^{2} +(-0.129306 + 0.566525i) q^{3} +(-1.24799 - 0.0287280i) q^{4} +(-0.554911 + 1.04267i) q^{5} +(0.117752 - 0.489851i) q^{6} +(-1.27973 - 3.15351i) q^{7} +(2.81460 + 0.0972069i) q^{8} +(2.39868 + 1.15514i) q^{9} +O(q^{10})\) \(q+(-0.866936 - 0.00997685i) q^{2} +(-0.129306 + 0.566525i) q^{3} +(-1.24799 - 0.0287280i) q^{4} +(-0.554911 + 1.04267i) q^{5} +(0.117752 - 0.489851i) q^{6} +(-1.27973 - 3.15351i) q^{7} +(2.81460 + 0.0972069i) q^{8} +(2.39868 + 1.15514i) q^{9} +(0.491475 - 0.898393i) q^{10} +(0.239237 + 0.249073i) q^{11} +(0.177648 - 0.703304i) q^{12} +(-2.45005 - 0.369285i) q^{13} +(1.07798 + 2.74666i) q^{14} +(-0.518946 - 0.449194i) q^{15} +(0.0548975 + 0.00252875i) q^{16} +(0.407576 - 2.41989i) q^{17} +(-2.06797 - 1.02536i) q^{18} +(-2.85687 + 1.54159i) q^{19} +(0.722479 - 1.28530i) q^{20} +(1.95202 - 0.317234i) q^{21} +(-0.204919 - 0.218317i) q^{22} +(6.10011 + 1.42929i) q^{23} +(-0.419013 + 1.58197i) q^{24} +(2.01355 + 2.99015i) q^{25} +(2.12035 + 0.344590i) q^{26} +(-2.05150 + 2.57250i) q^{27} +(1.50650 + 3.97232i) q^{28} +(6.65475 + 3.79124i) q^{29} +(0.445411 + 0.394600i) q^{30} +(6.18467 + 2.22421i) q^{31} +(-5.67079 - 0.326649i) q^{32} +(-0.172041 + 0.103327i) q^{33} +(-0.377485 + 2.09383i) q^{34} +(3.99821 + 0.415578i) q^{35} +(-2.96034 - 1.51052i) q^{36} +(3.50964 - 2.83203i) q^{37} +(2.49210 - 1.30796i) q^{38} +(0.526014 - 1.34026i) q^{39} +(-1.66321 + 2.88076i) q^{40} +(3.46652 + 6.00418i) q^{41} +(-1.69544 + 0.255546i) q^{42} +(-0.970693 + 9.89208i) q^{43} +(-0.291411 - 0.317713i) q^{44} +(-2.53549 + 1.86003i) q^{45} +(-5.27414 - 1.29996i) q^{46} +(-9.52245 + 0.768732i) q^{47} +(-0.00853115 + 0.0307738i) q^{48} +(-3.28648 + 3.19326i) q^{49} +(-1.71578 - 2.61236i) q^{50} +(1.31823 + 0.543808i) q^{51} +(3.04703 + 0.531250i) q^{52} +(10.8476 - 3.76076i) q^{53} +(1.80418 - 2.20972i) q^{54} +(-0.392456 + 0.111233i) q^{55} +(-3.29539 - 9.00025i) q^{56} +(-0.503940 - 1.81783i) q^{57} +(-5.73142 - 3.35315i) q^{58} +(2.62578 - 1.11874i) q^{59} +(0.634736 + 0.575499i) q^{60} +(4.92322 - 2.30149i) q^{61} +(-5.33952 - 1.98995i) q^{62} +(0.573086 - 9.04252i) q^{63} +(4.80331 + 0.332177i) q^{64} +(1.74460 - 2.34967i) q^{65} +(0.150179 - 0.0878619i) q^{66} +(0.994018 + 0.965825i) q^{67} +(-0.578170 + 3.00830i) q^{68} +(-1.59851 + 3.27105i) q^{69} +(-3.46205 - 0.400169i) q^{70} +(-3.10960 + 0.616214i) q^{71} +(6.63902 + 3.48442i) q^{72} +(1.28987 - 1.11650i) q^{73} +(-3.07088 + 2.42017i) q^{74} +(-1.95436 + 0.754081i) q^{75} +(3.60964 - 1.84182i) q^{76} +(0.479293 - 1.07318i) q^{77} +(-0.469392 + 1.15667i) q^{78} +(2.58995 + 1.85452i) q^{79} +(-0.0330999 + 0.0558368i) q^{80} +(3.78769 + 4.74962i) q^{81} +(-2.94534 - 5.23982i) q^{82} +(-13.1160 - 8.29403i) q^{83} +(-2.44522 + 0.339828i) q^{84} +(2.29698 + 1.76779i) q^{85} +(0.940221 - 8.56612i) q^{86} +(-3.00833 + 3.27985i) q^{87} +(0.649145 + 0.724294i) q^{88} +(-0.772061 - 8.92325i) q^{89} +(2.21666 - 1.58723i) q^{90} +(1.97086 + 8.19884i) q^{91} +(-7.57183 - 1.95898i) q^{92} +(-2.05978 + 3.21617i) q^{93} +(8.26302 - 0.571437i) q^{94} +(-0.0220617 - 3.83422i) q^{95} +(0.918320 - 3.17041i) q^{96} +(0.251671 + 1.89061i) q^{97} +(2.88102 - 2.73556i) q^{98} +(0.286139 + 0.873798i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} + O(q^{10}) \) \( 6480q - 143q^{2} - 94q^{3} - 189q^{4} - 141q^{5} - 114q^{6} - 154q^{7} - 130q^{8} - 1178q^{9} - 152q^{10} - 161q^{11} - 99q^{12} - 158q^{13} - 174q^{14} - 71q^{15} - 235q^{16} - 146q^{17} + 33q^{18} - 144q^{19} - 138q^{20} - 98q^{21} - 226q^{22} - 115q^{23} - 123q^{24} - 208q^{25} - 65q^{26} + 131q^{27} - 48q^{28} - 207q^{29} - 56q^{30} - 215q^{31} - 151q^{32} - 63q^{33} - 70q^{34} - 192q^{35} - 17q^{36} - 124q^{37} - 61q^{38} - 268q^{39} - 51q^{40} + 533q^{41} + 292q^{42} - 166q^{43} - 20q^{44} + 51q^{45} - 233q^{46} - 96q^{47} - 211q^{48} - 213q^{49} + 12q^{50} - 213q^{51} - 279q^{52} - 178q^{53} + 173q^{54} - 233q^{55} + 170q^{56} - 22q^{57} + 36q^{58} - 133q^{59} + 225q^{60} - 117q^{61} - 176q^{62} + 202q^{63} + 154q^{64} - 320q^{65} - 124q^{66} - 78q^{67} + 441q^{68} + 203q^{69} - 522q^{70} - 195q^{71} + 564q^{72} - 254q^{73} + 22q^{74} - 326q^{75} - 186q^{76} - 182q^{77} - 100q^{78} - 268q^{79} - 299q^{80} - 776q^{81} - 242q^{82} + 78q^{83} + 162q^{84} - 144q^{85} - 132q^{86} - 84q^{87} + 333q^{88} - 167q^{89} - 134q^{90} - 268q^{91} - 261q^{92} - 21q^{93} + 297q^{94} - 65q^{95} - 567q^{96} + 427q^{97} - 237q^{98} + 237q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{273}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866936 0.00997685i −0.613016 0.00705470i −0.295555 0.955326i \(-0.595504\pi\)
−0.317462 + 0.948271i \(0.602830\pi\)
\(3\) −0.129306 + 0.566525i −0.0746546 + 0.327083i −0.998441 0.0558262i \(-0.982221\pi\)
0.923786 + 0.382909i \(0.125078\pi\)
\(4\) −1.24799 0.0287280i −0.623996 0.0143640i
\(5\) −0.554911 + 1.04267i −0.248164 + 0.466297i −0.975504 0.219980i \(-0.929401\pi\)
0.727341 + 0.686277i \(0.240756\pi\)
\(6\) 0.117752 0.489851i 0.0480720 0.199981i
\(7\) −1.27973 3.15351i −0.483693 1.19191i −0.951380 0.308020i \(-0.900334\pi\)
0.467686 0.883894i \(-0.345088\pi\)
\(8\) 2.81460 + 0.0972069i 0.995110 + 0.0343678i
\(9\) 2.39868 + 1.15514i 0.799559 + 0.385047i
\(10\) 0.491475 0.898393i 0.155418 0.284097i
\(11\) 0.239237 + 0.249073i 0.0721328 + 0.0750982i 0.756291 0.654236i \(-0.227010\pi\)
−0.684158 + 0.729334i \(0.739830\pi\)
\(12\) 0.177648 0.703304i 0.0512824 0.203026i
\(13\) −2.45005 0.369285i −0.679521 0.102421i −0.199793 0.979838i \(-0.564027\pi\)
−0.479729 + 0.877417i \(0.659265\pi\)
\(14\) 1.07798 + 2.74666i 0.288103 + 0.734075i
\(15\) −0.518946 0.449194i −0.133991 0.115981i
\(16\) 0.0548975 + 0.00252875i 0.0137244 + 0.000632188i
\(17\) 0.407576 2.41989i 0.0988517 0.586910i −0.892009 0.452018i \(-0.850704\pi\)
0.990860 0.134892i \(-0.0430687\pi\)
\(18\) −2.06797 1.02536i −0.487426 0.241681i
\(19\) −2.85687 + 1.54159i −0.655411 + 0.353665i −0.768436 0.639927i \(-0.778965\pi\)
0.113024 + 0.993592i \(0.463946\pi\)
\(20\) 0.722479 1.28530i 0.161551 0.287403i
\(21\) 1.95202 0.317234i 0.425965 0.0692261i
\(22\) −0.204919 0.218317i −0.0436888 0.0465453i
\(23\) 6.10011 + 1.42929i 1.27196 + 0.298027i 0.808714 0.588202i \(-0.200164\pi\)
0.463247 + 0.886229i \(0.346684\pi\)
\(24\) −0.419013 + 1.58197i −0.0855307 + 0.322918i
\(25\) 2.01355 + 2.99015i 0.402709 + 0.598030i
\(26\) 2.12035 + 0.344590i 0.415835 + 0.0675798i
\(27\) −2.05150 + 2.57250i −0.394811 + 0.495077i
\(28\) 1.50650 + 3.97232i 0.284702 + 0.750698i
\(29\) 6.65475 + 3.79124i 1.23576 + 0.704015i 0.965907 0.258888i \(-0.0833561\pi\)
0.269848 + 0.962903i \(0.413026\pi\)
\(30\) 0.445411 + 0.394600i 0.0813206 + 0.0720438i
\(31\) 6.18467 + 2.22421i 1.11080 + 0.399479i 0.828580 0.559870i \(-0.189149\pi\)
0.282220 + 0.959350i \(0.408929\pi\)
\(32\) −5.67079 0.326649i −1.00246 0.0577438i
\(33\) −0.172041 + 0.103327i −0.0299484 + 0.0179870i
\(34\) −0.377485 + 2.09383i −0.0647381 + 0.359088i
\(35\) 3.99821 + 0.415578i 0.675821 + 0.0702455i
\(36\) −2.96034 1.51052i −0.493391 0.251753i
\(37\) 3.50964 2.83203i 0.576981 0.465583i −0.294746 0.955576i \(-0.595235\pi\)
0.871726 + 0.489993i \(0.163001\pi\)
\(38\) 2.49210 1.30796i 0.404273 0.212179i
\(39\) 0.526014 1.34026i 0.0842297 0.214614i
\(40\) −1.66321 + 2.88076i −0.262976 + 0.455488i
\(41\) 3.46652 + 6.00418i 0.541379 + 0.937695i 0.998825 + 0.0484583i \(0.0154308\pi\)
−0.457447 + 0.889237i \(0.651236\pi\)
\(42\) −1.69544 + 0.255546i −0.261612 + 0.0394317i
\(43\) −0.970693 + 9.89208i −0.148029 + 1.50853i 0.575253 + 0.817976i \(0.304904\pi\)
−0.723282 + 0.690553i \(0.757367\pi\)
\(44\) −0.291411 0.317713i −0.0439319 0.0478971i
\(45\) −2.53549 + 1.86003i −0.377968 + 0.277277i
\(46\) −5.27414 1.29996i −0.777630 0.191669i
\(47\) −9.52245 + 0.768732i −1.38899 + 0.112131i −0.752215 0.658917i \(-0.771015\pi\)
−0.636777 + 0.771048i \(0.719733\pi\)
\(48\) −0.00853115 + 0.0307738i −0.00123137 + 0.00444182i
\(49\) −3.28648 + 3.19326i −0.469496 + 0.456180i
\(50\) −1.71578 2.61236i −0.242648 0.369443i
\(51\) 1.31823 + 0.543808i 0.184589 + 0.0761483i
\(52\) 3.04703 + 0.531250i 0.422547 + 0.0736712i
\(53\) 10.8476 3.76076i 1.49004 0.516580i 0.543566 0.839367i \(-0.317074\pi\)
0.946472 + 0.322787i \(0.104620\pi\)
\(54\) 1.80418 2.20972i 0.245518 0.300705i
\(55\) −0.392456 + 0.111233i −0.0529188 + 0.0149986i
\(56\) −3.29539 9.00025i −0.440365 1.20271i
\(57\) −0.503940 1.81783i −0.0667485 0.240777i
\(58\) −5.73142 3.35315i −0.752572 0.440290i
\(59\) 2.62578 1.11874i 0.341847 0.145647i −0.214219 0.976786i \(-0.568721\pi\)
0.556066 + 0.831138i \(0.312310\pi\)
\(60\) 0.634736 + 0.575499i 0.0819441 + 0.0742966i
\(61\) 4.92322 2.30149i 0.630354 0.294675i −0.0818533 0.996644i \(-0.526084\pi\)
0.712207 + 0.701969i \(0.247696\pi\)
\(62\) −5.33952 1.98995i −0.678120 0.252724i
\(63\) 0.573086 9.04252i 0.0722021 1.13925i
\(64\) 4.80331 + 0.332177i 0.600413 + 0.0415221i
\(65\) 1.74460 2.34967i 0.216391 0.291441i
\(66\) 0.150179 0.0878619i 0.0184858 0.0108150i
\(67\) 0.994018 + 0.965825i 0.121439 + 0.117994i 0.755080 0.655633i \(-0.227598\pi\)
−0.633641 + 0.773627i \(0.718440\pi\)
\(68\) −0.578170 + 3.00830i −0.0701134 + 0.364810i
\(69\) −1.59851 + 3.27105i −0.192437 + 0.393788i
\(70\) −3.46205 0.400169i −0.413794 0.0478293i
\(71\) −3.10960 + 0.616214i −0.369042 + 0.0731311i −0.375436 0.926848i \(-0.622507\pi\)
0.00639377 + 0.999980i \(0.497965\pi\)
\(72\) 6.63902 + 3.48442i 0.782415 + 0.410643i
\(73\) 1.28987 1.11650i 0.150968 0.130677i −0.575711 0.817653i \(-0.695275\pi\)
0.726680 + 0.686976i \(0.241062\pi\)
\(74\) −3.07088 + 2.42017i −0.356983 + 0.281339i
\(75\) −1.95436 + 0.754081i −0.225670 + 0.0870738i
\(76\) 3.60964 1.84182i 0.414054 0.211271i
\(77\) 0.479293 1.07318i 0.0546205 0.122301i
\(78\) −0.469392 + 1.15667i −0.0531482 + 0.130968i
\(79\) 2.58995 + 1.85452i 0.291392 + 0.208650i 0.718458 0.695571i \(-0.244848\pi\)
−0.427066 + 0.904220i \(0.640453\pi\)
\(80\) −0.0330999 + 0.0558368i −0.00370068 + 0.00624274i
\(81\) 3.78769 + 4.74962i 0.420855 + 0.527735i
\(82\) −2.94534 5.23982i −0.325259 0.578642i
\(83\) −13.1160 8.29403i −1.43966 0.910388i −0.999925 0.0122628i \(-0.996097\pi\)
−0.439739 0.898126i \(-0.644929\pi\)
\(84\) −2.44522 + 0.339828i −0.266795 + 0.0370782i
\(85\) 2.29698 + 1.76779i 0.249143 + 0.191744i
\(86\) 0.940221 8.56612i 0.101387 0.923708i
\(87\) −3.00833 + 3.27985i −0.322526 + 0.351637i
\(88\) 0.649145 + 0.724294i 0.0691991 + 0.0772100i
\(89\) −0.772061 8.92325i −0.0818383 0.945862i −0.917792 0.397062i \(-0.870030\pi\)
0.835953 0.548800i \(-0.184915\pi\)
\(90\) 2.21666 1.58723i 0.233656 0.167309i
\(91\) 1.97086 + 8.19884i 0.206602 + 0.859472i
\(92\) −7.57183 1.95898i −0.789418 0.204238i
\(93\) −2.05978 + 3.21617i −0.213589 + 0.333501i
\(94\) 8.26302 0.571437i 0.852266 0.0589392i
\(95\) −0.0220617 3.83422i −0.00226349 0.393383i
\(96\) 0.918320 3.17041i 0.0937256 0.323578i
\(97\) 0.251671 + 1.89061i 0.0255533 + 0.191962i 0.999375 0.0353511i \(-0.0112550\pi\)
−0.973822 + 0.227313i \(0.927006\pi\)
\(98\) 2.88102 2.73556i 0.291027 0.276334i
\(99\) 0.286139 + 0.873798i 0.0287581 + 0.0878200i
\(100\) −2.42699 3.78953i −0.242699 0.378953i
\(101\) 4.25726 + 5.73378i 0.423613 + 0.570533i 0.962306 0.271969i \(-0.0876750\pi\)
−0.538693 + 0.842502i \(0.681082\pi\)
\(102\) −1.13739 0.484598i −0.112619 0.0479824i
\(103\) 1.34504 + 2.92094i 0.132531 + 0.287809i 0.963118 0.269081i \(-0.0867199\pi\)
−0.830587 + 0.556890i \(0.811995\pi\)
\(104\) −6.86000 1.27755i −0.672678 0.125274i
\(105\) −0.752426 + 2.21135i −0.0734293 + 0.215806i
\(106\) −9.44173 + 3.15211i −0.917061 + 0.306160i
\(107\) 8.16161 2.01166i 0.789012 0.194474i 0.175835 0.984420i \(-0.443737\pi\)
0.613177 + 0.789946i \(0.289891\pi\)
\(108\) 2.63416 3.15152i 0.253472 0.303255i
\(109\) 4.97762 + 9.61815i 0.476770 + 0.921252i 0.997709 + 0.0676579i \(0.0215527\pi\)
−0.520939 + 0.853594i \(0.674418\pi\)
\(110\) 0.341344 0.0925163i 0.0325459 0.00882108i
\(111\) 1.15060 + 2.35449i 0.109210 + 0.223479i
\(112\) −0.0622796 0.176356i −0.00588487 0.0166641i
\(113\) −0.148002 5.14305i −0.0139229 0.483817i −0.976834 0.213998i \(-0.931351\pi\)
0.962911 0.269819i \(-0.0869638\pi\)
\(114\) 0.418747 + 1.58097i 0.0392193 + 0.148071i
\(115\) −4.87530 + 5.56728i −0.454624 + 0.519152i
\(116\) −8.19616 4.92261i −0.760994 0.457053i
\(117\) −5.45030 3.71595i −0.503880 0.343540i
\(118\) −2.28754 + 0.943678i −0.210585 + 0.0868726i
\(119\) −8.15275 + 1.81152i −0.747361 + 0.166062i
\(120\) −1.41696 1.31475i −0.129350 0.120019i
\(121\) 0.438123 10.8719i 0.0398293 0.988355i
\(122\) −4.29108 + 1.94612i −0.388496 + 0.176194i
\(123\) −3.84976 + 1.18749i −0.347121 + 0.107073i
\(124\) −7.65453 2.95347i −0.687397 0.265229i
\(125\) −10.1091 + 1.05075i −0.904189 + 0.0939822i
\(126\) −0.587045 + 7.83357i −0.0522981 + 0.697870i
\(127\) 7.11533 19.4332i 0.631384 1.72441i −0.0563102 0.998413i \(-0.517934\pi\)
0.687694 0.726001i \(-0.258623\pi\)
\(128\) 7.16271 + 0.578233i 0.633100 + 0.0511091i
\(129\) −5.47859 1.82902i −0.482363 0.161037i
\(130\) −1.53590 + 2.01961i −0.134707 + 0.177132i
\(131\) −10.9936 2.31033i −0.960517 0.201855i −0.301067 0.953603i \(-0.597343\pi\)
−0.659450 + 0.751748i \(0.729211\pi\)
\(132\) 0.217674 0.124010i 0.0189461 0.0107936i
\(133\) 8.51745 + 7.03635i 0.738557 + 0.610129i
\(134\) −0.852114 0.847225i −0.0736115 0.0731891i
\(135\) −1.54387 3.56654i −0.132875 0.306959i
\(136\) 1.38239 6.77140i 0.118539 0.580643i
\(137\) −2.14957 + 0.0494818i −0.183650 + 0.00422752i −0.114741 0.993395i \(-0.536604\pi\)
−0.0689091 + 0.997623i \(0.521952\pi\)
\(138\) 1.41844 2.81984i 0.120745 0.240041i
\(139\) 2.15413 + 0.976958i 0.182711 + 0.0828645i 0.502307 0.864689i \(-0.332485\pi\)
−0.319596 + 0.947554i \(0.603547\pi\)
\(140\) −4.97780 0.633499i −0.420701 0.0535404i
\(141\) 0.795801 5.49411i 0.0670185 0.462687i
\(142\) 2.70197 0.503194i 0.226745 0.0422271i
\(143\) −0.494165 0.698587i −0.0413241 0.0584188i
\(144\) 0.128760 + 0.0694800i 0.0107300 + 0.00579000i
\(145\) −7.64581 + 4.83492i −0.634950 + 0.401518i
\(146\) −1.12938 + 0.955066i −0.0934679 + 0.0790418i
\(147\) −1.38410 2.27478i −0.114159 0.187620i
\(148\) −4.46136 + 3.43353i −0.366721 + 0.282234i
\(149\) −2.23086 + 2.26970i −0.182759 + 0.185941i −0.798477 0.602025i \(-0.794361\pi\)
0.615718 + 0.787967i \(0.288866\pi\)
\(150\) 1.70183 0.634241i 0.138954 0.0517856i
\(151\) −3.63833 12.0407i −0.296083 0.979858i −0.970418 0.241433i \(-0.922383\pi\)
0.674335 0.738426i \(-0.264430\pi\)
\(152\) −8.19079 + 4.06125i −0.664361 + 0.329411i
\(153\) 3.77296 5.33373i 0.305026 0.431207i
\(154\) −0.426223 + 0.925600i −0.0343460 + 0.0745870i
\(155\) −5.75106 + 5.21434i −0.461936 + 0.418826i
\(156\) −0.694965 + 1.65753i −0.0556417 + 0.132708i
\(157\) 10.4133 + 12.4585i 0.831068 + 0.994295i 0.999962 + 0.00866090i \(0.00275688\pi\)
−0.168894 + 0.985634i \(0.554020\pi\)
\(158\) −2.22681 1.63359i −0.177156 0.129961i
\(159\) 0.727903 + 6.63174i 0.0577265 + 0.525931i
\(160\) 3.48737 5.73151i 0.275701 0.453116i
\(161\) −3.29924 21.0659i −0.260017 1.66022i
\(162\) −3.23630 4.15540i −0.254268 0.326479i
\(163\) −1.98738 + 6.31371i −0.155663 + 0.494528i −0.999087 0.0427212i \(-0.986397\pi\)
0.843424 + 0.537249i \(0.180536\pi\)
\(164\) −4.15370 7.59276i −0.324349 0.592895i
\(165\) −0.0122694 0.236719i −0.000955168 0.0184286i
\(166\) 11.2879 + 7.32125i 0.876115 + 0.568239i
\(167\) 0.0494686 2.86555i 0.00382799 0.221743i −0.991771 0.128026i \(-0.959136\pi\)
0.995599 0.0937172i \(-0.0298749\pi\)
\(168\) 5.52498 0.703135i 0.426261 0.0542481i
\(169\) −6.55608 2.02228i −0.504314 0.155560i
\(170\) −1.97370 1.55548i −0.151376 0.119300i
\(171\) −8.63346 + 0.397685i −0.660218 + 0.0304117i
\(172\) 1.49560 12.3174i 0.114038 0.939190i
\(173\) −7.11933 + 4.73480i −0.541272 + 0.359980i −0.794344 0.607468i \(-0.792185\pi\)
0.253072 + 0.967447i \(0.418559\pi\)
\(174\) 2.64075 2.81341i 0.200195 0.213284i
\(175\) 6.85267 10.1763i 0.518013 0.769259i
\(176\) 0.0125037 + 0.0142784i 0.000942501 + 0.00107628i
\(177\) 0.294266 + 1.63223i 0.0221184 + 0.122686i
\(178\) 0.580302 + 7.74359i 0.0434954 + 0.580406i
\(179\) 20.5995 + 5.83846i 1.53968 + 0.436387i 0.933392 0.358858i \(-0.116834\pi\)
0.606288 + 0.795245i \(0.292658\pi\)
\(180\) 3.21770 2.24846i 0.239833 0.167591i
\(181\) 1.99509 + 9.77262i 0.148294 + 0.726393i 0.984135 + 0.177421i \(0.0567755\pi\)
−0.835841 + 0.548972i \(0.815019\pi\)
\(182\) −1.62681 7.12753i −0.120587 0.528328i
\(183\) 0.667249 + 3.08672i 0.0493245 + 0.228177i
\(184\) 17.0304 + 4.61584i 1.25550 + 0.340284i
\(185\) 1.00534 + 5.23092i 0.0739141 + 0.384585i
\(186\) 1.81779 2.76766i 0.133287 0.202935i
\(187\) 0.700237 0.477413i 0.0512064 0.0349119i
\(188\) 11.9060 0.685810i 0.868336 0.0500178i
\(189\) 10.7378 + 3.17731i 0.781057 + 0.231115i
\(190\) −0.0191274 + 3.32425i −0.00138764 + 0.241166i
\(191\) −0.947313 14.9473i −0.0685452 1.08155i −0.873059 0.487615i \(-0.837867\pi\)
0.804513 0.593934i \(-0.202426\pi\)
\(192\) −0.809281 + 2.67824i −0.0584048 + 0.193285i
\(193\) 3.20038 + 19.0016i 0.230369 + 1.36776i 0.825621 + 0.564225i \(0.190825\pi\)
−0.595252 + 0.803539i \(0.702948\pi\)
\(194\) −0.199320 1.64155i −0.0143103 0.117856i
\(195\) 1.10556 + 1.29219i 0.0791710 + 0.0925354i
\(196\) 4.19323 3.89075i 0.299517 0.277911i
\(197\) −0.190311 + 0.275713i −0.0135591 + 0.0196437i −0.829705 0.558202i \(-0.811491\pi\)
0.816146 + 0.577846i \(0.196107\pi\)
\(198\) −0.239346 0.760381i −0.0170096 0.0540379i
\(199\) −15.1556 + 15.7787i −1.07435 + 1.11852i −0.0818076 + 0.996648i \(0.526069\pi\)
−0.992546 + 0.121872i \(0.961110\pi\)
\(200\) 5.37666 + 8.61180i 0.380187 + 0.608946i
\(201\) −0.675696 + 0.438250i −0.0476599 + 0.0309117i
\(202\) −3.63357 5.01330i −0.255657 0.352734i
\(203\) 3.43940 25.8376i 0.241399 1.81344i
\(204\) −1.62952 0.716538i −0.114089 0.0501677i
\(205\) −8.18399 + 0.282648i −0.571595 + 0.0197410i
\(206\) −1.13692 2.54569i −0.0792133 0.177366i
\(207\) 12.9812 + 10.4749i 0.902253 + 0.728055i
\(208\) −0.133568 0.0264684i −0.00926125 0.00183525i
\(209\) −1.06744 0.342762i −0.0738363 0.0237094i
\(210\) 0.674368 1.90959i 0.0465358 0.131774i
\(211\) −18.4280 + 2.13004i −1.26864 + 0.146638i −0.722684 0.691178i \(-0.757092\pi\)
−0.545952 + 0.837817i \(0.683832\pi\)
\(212\) −13.6458 + 4.38177i −0.937198 + 0.300941i
\(213\) 0.0529886 1.84135i 0.00363072 0.126167i
\(214\) −7.09566 + 1.66255i −0.485049 + 0.113649i
\(215\) −9.77554 6.50134i −0.666686 0.443388i
\(216\) −6.02420 + 7.04112i −0.409895 + 0.479087i
\(217\) −0.900667 22.3498i −0.0611412 1.51720i
\(218\) −4.21932 8.38798i −0.285768 0.568106i
\(219\) 0.465738 + 0.875115i 0.0314716 + 0.0591348i
\(220\) 0.492978 0.127543i 0.0332366 0.00859896i
\(221\) −1.89221 + 5.77834i −0.127284 + 0.388694i
\(222\) −0.974006 2.05267i −0.0653710 0.137766i
\(223\) 5.30012 + 6.96932i 0.354922 + 0.466700i 0.938461 0.345385i \(-0.112252\pi\)
−0.583539 + 0.812085i \(0.698332\pi\)
\(224\) 6.22701 + 18.3009i 0.416060 + 1.22278i
\(225\) 1.37580 + 9.49834i 0.0917199 + 0.633222i
\(226\) 0.0769968 + 4.46017i 0.00512175 + 0.296686i
\(227\) 10.1973 16.3331i 0.676821 1.08407i −0.314070 0.949400i \(-0.601693\pi\)
0.990891 0.134666i \(-0.0429961\pi\)
\(228\) 0.576690 + 2.28311i 0.0381923 + 0.151203i
\(229\) 2.59561 + 26.4512i 0.171523 + 1.74794i 0.561824 + 0.827256i \(0.310100\pi\)
−0.390302 + 0.920687i \(0.627629\pi\)
\(230\) 4.28211 4.77784i 0.282354 0.315041i
\(231\) 0.546010 + 0.410300i 0.0359248 + 0.0269958i
\(232\) 18.3619 + 11.3177i 1.20552 + 0.743042i
\(233\) −15.7941 19.3443i −1.03471 1.26729i −0.962897 0.269868i \(-0.913020\pi\)
−0.0718095 0.997418i \(-0.522877\pi\)
\(234\) 4.68798 + 3.27587i 0.306463 + 0.214150i
\(235\) 4.48258 10.3554i 0.292411 0.675509i
\(236\) −3.30909 + 1.32074i −0.215403 + 0.0859732i
\(237\) −1.38553 + 1.22747i −0.0899996 + 0.0797327i
\(238\) 7.08598 1.48913i 0.459316 0.0965262i
\(239\) −9.98868 + 21.0507i −0.646114 + 1.36166i 0.270825 + 0.962629i \(0.412704\pi\)
−0.916939 + 0.399028i \(0.869348\pi\)
\(240\) −0.0273529 0.0259719i −0.00176562 0.00167648i
\(241\) −5.87458 + 8.10526i −0.378415 + 0.522106i −0.955663 0.294463i \(-0.904859\pi\)
0.577248 + 0.816569i \(0.304127\pi\)
\(242\) −0.488292 + 9.42087i −0.0313886 + 0.605597i
\(243\) −12.0740 + 5.81455i −0.774550 + 0.373004i
\(244\) −6.21026 + 2.73080i −0.397571 + 0.174822i
\(245\) −1.50582 5.19869i −0.0962032 0.332132i
\(246\) 3.34934 0.991072i 0.213546 0.0631884i
\(247\) 7.56876 2.72197i 0.481589 0.173195i
\(248\) 17.1911 + 6.86144i 1.09164 + 0.435702i
\(249\) 6.39474 6.35805i 0.405250 0.402925i
\(250\) 8.77445 0.810078i 0.554945 0.0512338i
\(251\) 5.41325 4.06779i 0.341681 0.256757i −0.416024 0.909354i \(-0.636577\pi\)
0.757705 + 0.652597i \(0.226320\pi\)
\(252\) −0.974981 + 11.2685i −0.0614180 + 0.709851i
\(253\) 1.10338 + 1.86131i 0.0693688 + 0.117020i
\(254\) −6.36242 + 16.7763i −0.399214 + 1.05264i
\(255\) −1.29851 + 1.07271i −0.0813160 + 0.0671759i
\(256\) −15.7926 1.45801i −0.987038 0.0911256i
\(257\) −3.40002 + 2.09566i −0.212087 + 0.130724i −0.626661 0.779292i \(-0.715579\pi\)
0.414574 + 0.910016i \(0.363931\pi\)
\(258\) 4.73134 + 1.64031i 0.294560 + 0.102121i
\(259\) −13.4222 7.44343i −0.834017 0.462512i
\(260\) −2.24475 + 2.88226i −0.139214 + 0.178750i
\(261\) 11.5832 + 16.7811i 0.716980 + 1.03873i
\(262\) 9.50771 + 2.11259i 0.587388 + 0.130516i
\(263\) 27.2655 4.75375i 1.68127 0.293129i 0.751078 0.660214i \(-0.229534\pi\)
0.930187 + 0.367085i \(0.119644\pi\)
\(264\) −0.494269 + 0.274102i −0.0304201 + 0.0168698i
\(265\) −2.09824 + 13.3974i −0.128894 + 0.822996i
\(266\) −7.31388 6.18504i −0.448443 0.379229i
\(267\) 5.15507 + 0.716434i 0.315485 + 0.0438451i
\(268\) −1.21278 1.23390i −0.0740824 0.0753723i
\(269\) −2.69599 1.26031i −0.164378 0.0768426i 0.339552 0.940587i \(-0.389725\pi\)
−0.503930 + 0.863745i \(0.668113\pi\)
\(270\) 1.30285 + 3.10737i 0.0792891 + 0.189108i
\(271\) 12.2649 23.6992i 0.745038 1.43962i −0.147694 0.989033i \(-0.547185\pi\)
0.892732 0.450588i \(-0.148786\pi\)
\(272\) 0.0284942 0.131815i 0.00172771 0.00799248i
\(273\) −4.89969 + 0.0563865i −0.296543 + 0.00341266i
\(274\) 1.86403 0.0214516i 0.112610 0.00129594i
\(275\) −0.263049 + 1.21688i −0.0158624 + 0.0733804i
\(276\) 2.08889 4.03632i 0.125737 0.242958i
\(277\) 10.1655 + 24.2451i 0.610783 + 1.45675i 0.871042 + 0.491209i \(0.163445\pi\)
−0.260259 + 0.965539i \(0.583808\pi\)
\(278\) −1.85775 0.868451i −0.111420 0.0520862i
\(279\) 12.2658 + 12.4793i 0.734331 + 0.747118i
\(280\) 11.2130 + 1.55834i 0.670102 + 0.0931285i
\(281\) 3.79247 + 3.20713i 0.226240 + 0.191321i 0.751716 0.659487i \(-0.229226\pi\)
−0.525476 + 0.850808i \(0.676113\pi\)
\(282\) −0.744722 + 4.75510i −0.0443475 + 0.283162i
\(283\) 9.62648 5.33846i 0.572235 0.317339i −0.172170 0.985067i \(-0.555078\pi\)
0.744405 + 0.667729i \(0.232733\pi\)
\(284\) 3.89846 0.679697i 0.231331 0.0403326i
\(285\) 2.17504 + 0.483288i 0.128838 + 0.0286275i
\(286\) 0.421439 + 0.610560i 0.0249202 + 0.0361032i
\(287\) 14.4980 18.6154i 0.855792 1.09883i
\(288\) −13.2251 7.33409i −0.779295 0.432166i
\(289\) 10.3723 + 3.59598i 0.610138 + 0.211528i
\(290\) 6.67666 4.11528i 0.392067 0.241658i
\(291\) −1.10362 0.101889i −0.0646953 0.00597282i
\(292\) −1.64183 + 1.35633i −0.0960807 + 0.0793732i
\(293\) 2.96267 7.81192i 0.173081 0.456377i −0.820204 0.572071i \(-0.806140\pi\)
0.993285 + 0.115694i \(0.0369093\pi\)
\(294\) 1.17723 + 1.98589i 0.0686576 + 0.115820i
\(295\) −0.290596 + 3.35862i −0.0169192 + 0.195547i
\(296\) 10.1535 7.62986i 0.590160 0.443477i
\(297\) −1.13153 + 0.104466i −0.0656582 + 0.00606172i
\(298\) 1.95666 1.94543i 0.113346 0.112696i
\(299\) −14.4178 5.75450i −0.833800 0.332792i
\(300\) 2.46069 0.884942i 0.142068 0.0510922i
\(301\) 32.4370 9.59813i 1.86964 0.553227i
\(302\) 3.03407 + 10.4748i 0.174591 + 0.602758i
\(303\) −3.79882 + 1.67043i −0.218236 + 0.0959639i
\(304\) −0.160733 + 0.0774051i −0.00921869 + 0.00443949i
\(305\) −0.332258 + 6.41042i −0.0190250 + 0.367060i
\(306\) −3.32413 + 4.58636i −0.190028 + 0.262185i
\(307\) −16.8590 16.0078i −0.962191 0.913612i 0.0341205 0.999418i \(-0.489137\pi\)
−0.996312 + 0.0858060i \(0.972653\pi\)
\(308\) −0.628984 + 1.32556i −0.0358397 + 0.0755306i
\(309\) −1.82871 + 0.384307i −0.104031 + 0.0218624i
\(310\) 5.03782 4.46312i 0.286129 0.253488i
\(311\) 25.2839 10.0915i 1.43372 0.572235i 0.481173 0.876626i \(-0.340211\pi\)
0.952547 + 0.304391i \(0.0984528\pi\)
\(312\) 1.61080 3.72117i 0.0911936 0.210670i
\(313\) −7.87983 5.50626i −0.445394 0.311232i 0.328549 0.944487i \(-0.393440\pi\)
−0.773944 + 0.633254i \(0.781719\pi\)
\(314\) −8.90333 10.9046i −0.502444 0.615382i
\(315\) 9.11036 + 5.61534i 0.513311 + 0.316388i
\(316\) −3.17896 2.38883i −0.178830 0.134382i
\(317\) −2.40564 + 2.68413i −0.135114 + 0.150756i −0.808415 0.588613i \(-0.799674\pi\)
0.673301 + 0.739369i \(0.264876\pi\)
\(318\) −0.564881 5.75656i −0.0316770 0.322812i
\(319\) 0.647772 + 2.56452i 0.0362683 + 0.143586i
\(320\) −3.01176 + 4.82394i −0.168362 + 0.269666i
\(321\) 0.0843113 + 4.88387i 0.00470580 + 0.272591i
\(322\) 2.65006 + 18.2957i 0.147682 + 1.01958i
\(323\) 2.56609 + 7.54164i 0.142781 + 0.419628i
\(324\) −4.59056 6.03630i −0.255031 0.335350i
\(325\) −3.82907 8.06959i −0.212398 0.447620i
\(326\) 1.78592 5.45375i 0.0989129 0.302055i
\(327\) −6.09256 + 1.57627i −0.336919 + 0.0871677i
\(328\) 9.17319 + 17.2363i 0.506505 + 0.951716i
\(329\) 14.6104 + 29.0454i 0.805497 + 1.60132i
\(330\) 0.00827503 + 0.205343i 0.000455526 + 0.0113038i
\(331\) −10.6761 + 12.4783i −0.586813 + 0.685870i −0.971463 0.237192i \(-0.923773\pi\)
0.384650 + 0.923063i \(0.374322\pi\)
\(332\) 16.1303 + 10.7277i 0.885268 + 0.588758i
\(333\) 11.6899 2.73900i 0.640601 0.150096i
\(334\) −0.0714752 + 2.48375i −0.00391095 + 0.135905i
\(335\) −1.55863 + 0.500487i −0.0851571 + 0.0273445i
\(336\) 0.107963 0.0124792i 0.00588987 0.000680794i
\(337\) 1.40863 3.98879i 0.0767330 0.217283i −0.898283 0.439417i \(-0.855185\pi\)
0.975016 + 0.222134i \(0.0713022\pi\)
\(338\) 5.66352 + 1.81860i 0.308055 + 0.0989187i
\(339\) 2.93280 + 0.581178i 0.159288 + 0.0315652i
\(340\) −2.81583 2.27218i −0.152710 0.123226i
\(341\) 0.925616 + 2.07255i 0.0501249 + 0.112235i
\(342\) 7.48863 0.258633i 0.404939 0.0139852i
\(343\) −7.53196 3.31199i −0.406688 0.178831i
\(344\) −3.69369 + 27.7479i −0.199150 + 1.49606i
\(345\) −2.52360 3.48186i −0.135866 0.187457i
\(346\) 6.21924 4.03374i 0.334348 0.216855i
\(347\) 2.99861 + 4.80287i 0.160974 + 0.257832i 0.918885 0.394526i \(-0.129091\pi\)
−0.757911 + 0.652358i \(0.773780\pi\)
\(348\) 3.84859 4.00681i 0.206306 0.214787i
\(349\) −4.76145 15.1267i −0.254875 0.809712i −0.991117 0.132994i \(-0.957541\pi\)
0.736242 0.676718i \(-0.236598\pi\)
\(350\) −6.04235 + 8.75386i −0.322977 + 0.467913i
\(351\) 5.97625 5.54515i 0.318989 0.295978i
\(352\) −1.27531 1.49059i −0.0679741 0.0794485i
\(353\) −3.05779 25.1831i −0.162750 1.34036i −0.813719 0.581259i \(-0.802560\pi\)
0.650969 0.759104i \(-0.274363\pi\)
\(354\) −0.238825 1.41797i −0.0126934 0.0753644i
\(355\) 1.08305 3.58424i 0.0574821 0.190232i
\(356\) 0.707179 + 11.1583i 0.0374804 + 0.591390i
\(357\) 0.0279235 4.85297i 0.00147787 0.256847i
\(358\) −17.8002 5.26709i −0.940770 0.278374i
\(359\) 5.38381 0.310118i 0.284147 0.0163674i 0.0851520 0.996368i \(-0.472862\pi\)
0.198995 + 0.980001i \(0.436232\pi\)
\(360\) −7.31717 + 4.98876i −0.385649 + 0.262931i
\(361\) −4.64531 + 7.07269i −0.244490 + 0.372247i
\(362\) −1.63212 8.49214i −0.0857823 0.446337i
\(363\) 6.10255 + 1.65401i 0.320301 + 0.0868128i
\(364\) −2.22408 10.2887i −0.116574 0.539275i
\(365\) 0.448378 + 1.96447i 0.0234692 + 0.102825i
\(366\) −0.547666 2.68265i −0.0286270 0.140224i
\(367\) 14.6107 10.2096i 0.762671 0.532939i −0.125698 0.992069i \(-0.540117\pi\)
0.888369 + 0.459130i \(0.151839\pi\)
\(368\) 0.331266 + 0.0938899i 0.0172685 + 0.00489435i
\(369\) 1.37937 + 18.4064i 0.0718071 + 0.958199i
\(370\) −0.819377 4.54490i −0.0425974 0.236278i
\(371\) −25.7417 29.3954i −1.33644 1.52613i
\(372\) 2.66299 3.95458i 0.138069 0.205035i
\(373\) −15.3643 + 16.3688i −0.795532 + 0.847547i −0.991097 0.133144i \(-0.957493\pi\)
0.195564 + 0.980691i \(0.437346\pi\)
\(374\) −0.611823 + 0.406900i −0.0316366 + 0.0210403i
\(375\) 0.711890 5.86294i 0.0367619 0.302761i
\(376\) −26.8766 + 1.23802i −1.38605 + 0.0638461i
\(377\) −14.9044 11.7462i −0.767616 0.604961i
\(378\) −9.27725 2.86165i −0.477170 0.147188i
\(379\) −28.4418 + 3.61964i −1.46096 + 0.185928i −0.815894 0.578202i \(-0.803755\pi\)
−0.645062 + 0.764130i \(0.723168\pi\)
\(380\) −0.0826168 + 4.78572i −0.00423815 + 0.245502i
\(381\) 10.0893 + 6.54383i 0.516891 + 0.335250i
\(382\) 0.672133 + 12.9678i 0.0343893 + 0.663491i
\(383\) 11.6627 + 21.3188i 0.595935 + 1.08934i 0.985713 + 0.168431i \(0.0538701\pi\)
−0.389779 + 0.920908i \(0.627449\pi\)
\(384\) −1.25376 + 3.98308i −0.0639808 + 0.203261i
\(385\) 0.853013 + 1.09527i 0.0434736 + 0.0558200i
\(386\) −2.58495 16.5051i −0.131571 0.840086i
\(387\) −13.7551 + 22.6066i −0.699213 + 1.14916i
\(388\) −0.259769 2.36669i −0.0131878 0.120151i
\(389\) −26.8411 19.6906i −1.36090 0.998353i −0.997779 0.0666094i \(-0.978782\pi\)
−0.363118 0.931743i \(-0.618288\pi\)
\(390\) −0.945559 1.13127i −0.0478803 0.0572842i
\(391\) 5.94498 14.1791i 0.300651 0.717067i
\(392\) −9.56051 + 8.66827i −0.482878 + 0.437814i
\(393\) 2.73040 5.92942i 0.137730 0.299100i
\(394\) 0.167738 0.237127i 0.00845052 0.0119463i
\(395\) −3.37084 + 1.67137i −0.169606 + 0.0840957i
\(396\) −0.331997 1.09871i −0.0166835 0.0552124i
\(397\) 4.41095 1.64389i 0.221379 0.0825043i −0.236084 0.971733i \(-0.575864\pi\)
0.457464 + 0.889228i \(0.348758\pi\)
\(398\) 13.2964 13.5279i 0.666487 0.678092i
\(399\) −5.08762 + 3.91551i −0.254700 + 0.196021i
\(400\) 0.102977 + 0.169244i 0.00514886 + 0.00846218i
\(401\) −8.04614 + 6.80428i −0.401805 + 0.339789i −0.823873 0.566775i \(-0.808191\pi\)
0.422068 + 0.906564i \(0.361304\pi\)
\(402\) 0.590157 0.373193i 0.0294344 0.0186132i
\(403\) −14.3314 7.73333i −0.713897 0.385224i
\(404\) −5.14831 7.27802i −0.256138 0.362095i
\(405\) −7.05412 + 1.31370i −0.350522 + 0.0652784i
\(406\) −3.23952 + 22.3652i −0.160775 + 1.10997i
\(407\) 1.54502 + 0.196626i 0.0765837 + 0.00974641i
\(408\) 3.65742 + 1.65874i 0.181069 + 0.0821198i
\(409\) −0.783293 + 1.55718i −0.0387314 + 0.0769977i −0.911881 0.410454i \(-0.865370\pi\)
0.873150 + 0.487452i \(0.162074\pi\)
\(410\) 7.09782 0.163387i 0.350536 0.00806913i
\(411\) 0.249919 1.22418i 0.0123276 0.0603845i
\(412\) −1.59469 3.68395i −0.0785648 0.181495i
\(413\) −6.88825 6.84873i −0.338949 0.337004i
\(414\) −11.1493 9.21057i −0.547959 0.452675i
\(415\) 15.9261 9.07319i 0.781784 0.445385i
\(416\) 13.7731 + 2.89445i 0.675281 + 0.141912i
\(417\) −0.832012 + 1.09404i −0.0407438 + 0.0535755i
\(418\) 0.921981 + 0.307803i 0.0450956 + 0.0150551i
\(419\) 8.37253 + 0.675901i 0.409025 + 0.0330199i 0.283267 0.959041i \(-0.408582\pi\)
0.125758 + 0.992061i \(0.459864\pi\)
\(420\) 1.00255 2.73813i 0.0489194 0.133607i
\(421\) −1.05412 + 14.0663i −0.0513749 + 0.685550i 0.910753 + 0.412951i \(0.135502\pi\)
−0.962128 + 0.272598i \(0.912117\pi\)
\(422\) 15.9971 1.66276i 0.778729 0.0809418i
\(423\) −23.7293 9.15584i −1.15376 0.445172i
\(424\) 30.8973 9.53055i 1.50050 0.462844i
\(425\) 8.05652 3.65385i 0.390799 0.177238i
\(426\) −0.0643086 + 1.59580i −0.00311576 + 0.0773168i
\(427\) −13.5582 12.5801i −0.656126 0.608796i
\(428\) −10.2434 + 2.27606i −0.495134 + 0.110018i
\(429\) 0.459665 0.189625i 0.0221928 0.00915520i
\(430\) 8.40990 + 5.73378i 0.405562 + 0.276507i
\(431\) −19.1656 11.5108i −0.923174 0.554458i −0.0277217 0.999616i \(-0.508825\pi\)
−0.895452 + 0.445158i \(0.853148\pi\)
\(432\) −0.119127 + 0.136036i −0.00573151 + 0.00654503i
\(433\) −7.22985 27.2960i −0.347444 1.31176i −0.883837 0.467795i \(-0.845049\pi\)
0.536393 0.843968i \(-0.319787\pi\)
\(434\) 0.557840 + 19.3848i 0.0267772 + 0.930502i
\(435\) −1.75045 4.95672i −0.0839279 0.237657i
\(436\) −5.93572 12.1464i −0.284270 0.581706i
\(437\) −19.6306 + 5.32058i −0.939059 + 0.254518i
\(438\) −0.395034 0.763315i −0.0188754 0.0364726i
\(439\) −22.1067 + 26.4486i −1.05510 + 1.26232i −0.0912616 + 0.995827i \(0.529090\pi\)
−0.963836 + 0.266498i \(0.914133\pi\)
\(440\) −1.11542 + 0.274926i −0.0531755 + 0.0131066i
\(441\) −11.5719 + 3.86325i −0.551041 + 0.183964i
\(442\) 1.69808 4.99058i 0.0807692 0.237377i
\(443\) −7.16590 1.33452i −0.340462 0.0634049i 0.0100874 0.999949i \(-0.496789\pi\)
−0.350549 + 0.936544i \(0.614005\pi\)
\(444\) −1.36830 2.97144i −0.0649366 0.141018i
\(445\) 9.73244 + 4.14661i 0.461362 + 0.196568i
\(446\) −4.52533 6.09483i −0.214281 0.288599i
\(447\) −0.997381 1.55732i −0.0471745 0.0736589i
\(448\) −5.09942 15.5724i −0.240925 0.735725i
\(449\) 11.4668 10.8879i 0.541153 0.513831i −0.368261 0.929722i \(-0.620047\pi\)
0.909414 + 0.415891i \(0.136530\pi\)
\(450\) −1.09797 8.24817i −0.0517586 0.388823i
\(451\) −0.666156 + 2.29984i −0.0313681 + 0.108295i
\(452\) 0.0369557 + 6.42273i 0.00173825 + 0.302100i
\(453\) 7.29181 0.504272i 0.342599 0.0236928i
\(454\) −9.00339 + 14.0580i −0.422550 + 0.659775i
\(455\) −9.64235 2.49467i −0.452040 0.116952i
\(456\) −1.24168 5.16543i −0.0581471 0.241893i
\(457\) 1.83158 1.31150i 0.0856778 0.0613492i −0.538538 0.842601i \(-0.681023\pi\)
0.624216 + 0.781252i \(0.285419\pi\)
\(458\) −1.98633 22.9574i −0.0928150 1.07273i
\(459\) 5.38903 + 6.01289i 0.251538 + 0.280658i
\(460\) 6.24427 6.80787i 0.291141 0.317418i
\(461\) −0.970800 + 8.84472i −0.0452147 + 0.411940i 0.949850 + 0.312707i \(0.101236\pi\)
−0.995064 + 0.0992326i \(0.968361\pi\)
\(462\) −0.469262 0.361151i −0.0218321 0.0168023i
\(463\) −17.6854 + 2.45786i −0.821912 + 0.114226i −0.536202 0.844090i \(-0.680141\pi\)
−0.285710 + 0.958316i \(0.592229\pi\)
\(464\) 0.355742 + 0.224958i 0.0165149 + 0.0104434i
\(465\) −2.21041 3.93236i −0.102505 0.182359i
\(466\) 13.4995 + 16.9278i 0.625352 + 0.784166i
\(467\) −13.0215 + 21.9662i −0.602562 + 1.01647i 0.392739 + 0.919650i \(0.371527\pi\)
−0.995302 + 0.0968230i \(0.969132\pi\)
\(468\) 6.69518 + 4.79405i 0.309485 + 0.221605i
\(469\) 1.77366 4.37064i 0.0819000 0.201818i
\(470\) −3.98942 + 8.93271i −0.184018 + 0.412035i
\(471\) −8.40453 + 4.28842i −0.387260 + 0.197600i
\(472\) 7.49925 2.89356i 0.345181 0.133187i
\(473\) −2.69607 + 2.12478i −0.123966 + 0.0976977i
\(474\) 1.21341 1.05031i 0.0557337 0.0482425i
\(475\) −10.3620 5.43841i −0.475443 0.249532i
\(476\) 10.2266 2.02655i 0.468736 0.0928869i
\(477\) 30.3642 + 3.50971i 1.39028 + 0.160699i
\(478\) 8.86956 18.1499i 0.405684 0.830159i
\(479\) −1.99671 + 10.3891i −0.0912319 + 0.474692i 0.907298 + 0.420488i \(0.138141\pi\)
−0.998530 + 0.0542040i \(0.982738\pi\)
\(480\) 2.79611 + 2.71680i 0.127624 + 0.124004i
\(481\) −9.64461 + 5.64255i −0.439756 + 0.257278i
\(482\) 5.17374 6.96813i 0.235658 0.317390i
\(483\) 12.3609 + 0.854833i 0.562442 + 0.0388962i
\(484\) −0.859102 + 13.5555i −0.0390501 + 0.616158i
\(485\) −2.11094 0.786710i −0.0958527 0.0357227i
\(486\) 10.5254 4.92038i 0.477443 0.223193i
\(487\) −7.35744 6.67080i −0.333397 0.302283i 0.487768 0.872973i \(-0.337811\pi\)
−0.821165 + 0.570690i \(0.806676\pi\)
\(488\) 14.0806 5.99918i 0.637399 0.271570i
\(489\) −3.31989 1.94230i −0.150131 0.0878337i
\(490\) 1.25358 + 4.52195i 0.0566310 + 0.204281i
\(491\) −11.3972 31.1275i −0.514346 1.40477i −0.880427 0.474182i \(-0.842744\pi\)
0.366080 0.930583i \(-0.380700\pi\)
\(492\) 4.83858 1.37139i 0.218140 0.0618269i
\(493\) 11.8867 14.5586i 0.535350 0.655685i
\(494\) −6.58879 + 2.28426i −0.296444 + 0.102774i
\(495\) −1.06987 0.186531i −0.0480869 0.00838395i
\(496\) 0.333898 + 0.137743i 0.0149925 + 0.00618484i
\(497\) 5.92270 + 9.01757i 0.265669 + 0.404493i
\(498\) −5.60726 + 5.44823i −0.251268 + 0.244141i
\(499\) −0.380992 + 1.37433i −0.0170556 + 0.0615232i −0.971693 0.236248i \(-0.924082\pi\)
0.954637 + 0.297771i \(0.0962433\pi\)
\(500\) 12.6463 1.02092i 0.565560 0.0456567i
\(501\) 1.61701 + 0.398557i 0.0722426 + 0.0178062i
\(502\) −4.73352 + 3.47251i −0.211267 + 0.154986i
\(503\) 2.02427 + 2.20698i 0.0902579 + 0.0984044i 0.780438 0.625233i \(-0.214996\pi\)
−0.690180 + 0.723638i \(0.742469\pi\)
\(504\) 2.49200 25.3953i 0.111003 1.13120i
\(505\) −8.34085 + 1.25718i −0.371163 + 0.0559438i
\(506\) −0.937989 1.62464i −0.0416987 0.0722242i
\(507\) 1.99341 3.45269i 0.0885305 0.153339i
\(508\) −9.43815 + 24.0480i −0.418750 + 1.06696i
\(509\) 4.88148 2.56200i 0.216368 0.113559i −0.353058 0.935602i \(-0.614858\pi\)
0.569425 + 0.822043i \(0.307166\pi\)
\(510\) 1.13643 0.917018i 0.0503219 0.0406063i
\(511\) −5.17159 2.63881i −0.228778 0.116734i
\(512\) −0.618368 0.0642737i −0.0273283 0.00284052i
\(513\) 1.89513 10.5119i 0.0836720 0.464110i
\(514\) 2.96851 1.78288i 0.130935 0.0786396i
\(515\) −3.79196 0.218424i −0.167094 0.00962491i
\(516\) 6.78470 + 2.44000i 0.298680 + 0.107415i
\(517\) −2.46960 2.18787i −0.108613 0.0962225i
\(518\) 11.5619 + 6.58689i 0.508003 + 0.289411i
\(519\) −1.76181 4.64551i −0.0773349 0.203915i
\(520\) 5.13876 6.44380i 0.225349 0.282579i
\(521\) 28.4398 + 4.62192i 1.24597 + 0.202490i 0.747409 0.664364i \(-0.231297\pi\)
0.498562 + 0.866854i \(0.333862\pi\)
\(522\) −9.87444 14.6637i −0.432193 0.641814i
\(523\) 11.0969 41.8959i 0.485232 1.83198i −0.0662663 0.997802i \(-0.521109\pi\)
0.551499 0.834176i \(-0.314056\pi\)
\(524\) 13.6536 + 3.19910i 0.596460 + 0.139753i
\(525\) 4.87906 + 5.19807i 0.212940 + 0.226862i
\(526\) −23.6849 + 3.84917i −1.03271 + 0.167832i
\(527\) 7.90307 14.0597i 0.344263 0.612451i
\(528\) −0.00970588 + 0.00523737i −0.000422394 + 0.000227927i
\(529\) 14.5624 + 7.22049i 0.633148 + 0.313934i
\(530\) 1.95270 11.5938i 0.0848200 0.503601i
\(531\) 7.59069 + 0.349652i 0.329408 + 0.0151736i
\(532\) −10.4276 9.02600i −0.452093 0.391327i
\(533\) −6.27587 15.9907i −0.271838 0.692633i
\(534\) −4.46197 0.672534i −0.193088 0.0291034i
\(535\) −2.43147 + 9.62616i −0.105122 + 0.416175i
\(536\) 2.70388 + 2.81503i 0.116790 + 0.121591i
\(537\) −5.97127 + 10.9152i −0.257679 + 0.471025i
\(538\) 2.32468 + 1.11951i 0.100224 + 0.0482654i
\(539\) −1.58160 0.0546233i −0.0681244 0.00235279i
\(540\) 1.82428 + 4.49537i 0.0785044 + 0.193450i
\(541\) −1.23713 + 5.14651i −0.0531885 + 0.221266i −0.992582 0.121574i \(-0.961206\pi\)
0.939394 + 0.342840i \(0.111389\pi\)
\(542\) −10.8693 + 20.4233i −0.466877 + 0.877255i
\(543\) −5.79441 0.133384i −0.248662 0.00572405i
\(544\) −3.10173 + 13.5896i −0.132986 + 0.582648i
\(545\) −12.7907 0.147198i −0.547894 0.00630526i
\(546\) 4.24828 0.181810
\(547\) −18.3943 + 14.4447i −0.786484 + 0.617610i
\(548\) 2.68407 0.114658
\(549\) 14.4678 + 0.166497i 0.617469 + 0.00710594i
\(550\) 0.240187 1.05233i 0.0102416 0.0448714i
\(551\) −24.8563 0.572177i −1.05891 0.0243756i
\(552\) −4.81711 + 9.05130i −0.205030 + 0.385249i
\(553\) 2.53381 10.5407i 0.107748 0.448236i
\(554\) −8.57091 21.1204i −0.364143 0.897319i
\(555\) −3.09344 0.106837i −0.131309 0.00453499i
\(556\) −2.66027 1.28112i −0.112821 0.0543316i
\(557\) 10.9328 19.9847i 0.463238 0.846777i −0.536757 0.843737i \(-0.680351\pi\)
0.999995 0.00304041i \(-0.000967795\pi\)
\(558\) −10.5091 10.9411i −0.444886 0.463176i
\(559\) 6.03125 23.8776i 0.255095 1.00992i
\(560\) 0.218441 + 0.0329247i 0.00923081 + 0.00139132i
\(561\) 0.179922 + 0.458434i 0.00759631 + 0.0193551i
\(562\) −3.25583 2.81821i −0.137339 0.118879i
\(563\) −23.9830 1.10473i −1.01076 0.0465589i −0.465689 0.884948i \(-0.654194\pi\)
−0.545072 + 0.838389i \(0.683498\pi\)
\(564\) −1.15099 + 6.83374i −0.0484653 + 0.287752i
\(565\) 5.44463 + 2.69962i 0.229057 + 0.113574i
\(566\) −8.39880 + 4.53206i −0.353028 + 0.190497i
\(567\) 10.1307 18.0228i 0.425451 0.756885i
\(568\) −8.81217 + 1.43212i −0.369751 + 0.0600903i
\(569\) 2.86932 + 3.05692i 0.120288 + 0.128153i 0.786449 0.617655i \(-0.211917\pi\)
−0.666161 + 0.745808i \(0.732064\pi\)
\(570\) −1.88079 0.440680i −0.0787778 0.0184580i
\(571\) −0.426000 + 1.60835i −0.0178276 + 0.0673073i −0.974994 0.222230i \(-0.928666\pi\)
0.957167 + 0.289538i \(0.0935015\pi\)
\(572\) 0.596645 + 0.886027i 0.0249470 + 0.0370467i
\(573\) 8.59052 + 1.39610i 0.358874 + 0.0583227i
\(574\) −12.7546 + 15.9937i −0.532366 + 0.667566i
\(575\) 8.00907 + 21.1182i 0.334001 + 0.880689i
\(576\) 11.1379 + 6.34528i 0.464078 + 0.264387i
\(577\) −1.98657 1.75994i −0.0827018 0.0732674i 0.620759 0.784001i \(-0.286825\pi\)
−0.703461 + 0.710734i \(0.748363\pi\)
\(578\) −8.95627 3.22096i −0.372532 0.133974i
\(579\) −11.1787 0.643914i −0.464571 0.0267602i
\(580\) 9.68081 5.81429i 0.401974 0.241425i
\(581\) −9.37039 + 51.9755i −0.388749 + 2.15631i
\(582\) 0.955750 + 0.0993415i 0.0396171 + 0.00411784i
\(583\) 3.53186 + 1.80213i 0.146275 + 0.0746368i
\(584\) 3.73900 3.01711i 0.154721 0.124849i
\(585\) 6.89894 3.62085i 0.285236 0.149704i
\(586\) −2.64638 + 6.74287i −0.109321 + 0.278545i
\(587\) −3.75268 + 6.49983i −0.154890 + 0.268277i −0.933019 0.359827i \(-0.882836\pi\)
0.778129 + 0.628104i \(0.216169\pi\)
\(588\) 1.66200 + 2.87867i 0.0685397 + 0.118714i
\(589\) −21.0976 + 3.17996i −0.869313 + 0.131028i
\(590\) 0.285437 2.90881i 0.0117512 0.119754i
\(591\) −0.131590 0.143467i −0.00541289 0.00590145i
\(592\) 0.199832 0.146596i 0.00821303 0.00602507i
\(593\) −43.2257 10.6542i −1.77507 0.437515i −0.790491 0.612473i \(-0.790175\pi\)
−0.984576 + 0.174959i \(0.944021\pi\)
\(594\) 0.982009 0.0792760i 0.0402923 0.00325273i
\(595\) 2.63523 9.50587i 0.108034 0.389703i
\(596\) 2.84930 2.76849i 0.116712 0.113402i
\(597\) −6.97930 10.6263i −0.285644 0.434906i
\(598\) 12.4419 + 5.13263i 0.508785 + 0.209889i
\(599\) −10.1072 1.76219i −0.412968 0.0720010i −0.0385400 0.999257i \(-0.512271\pi\)
−0.374428 + 0.927256i \(0.622161\pi\)
\(600\) −5.57403 + 1.93246i −0.227559 + 0.0788922i
\(601\) 11.1612 13.6700i 0.455274 0.557609i −0.495053 0.868863i \(-0.664851\pi\)
0.950327 + 0.311254i \(0.100749\pi\)
\(602\) −28.2166 + 7.99734i −1.15002 + 0.325947i
\(603\) 1.26866 + 3.46493i 0.0516640 + 0.141103i
\(604\) 4.19470 + 15.1312i 0.170680 + 0.615681i
\(605\) 11.0927 + 6.48976i 0.450982 + 0.263846i
\(606\) 3.31000 1.41026i 0.134459 0.0572878i
\(607\) −26.2447 23.7954i −1.06524 0.965827i −0.0657538 0.997836i \(-0.520945\pi\)
−0.999488 + 0.0320085i \(0.989810\pi\)
\(608\) 16.7043 7.80885i 0.677448 0.316691i
\(609\) 14.1929 + 5.28945i 0.575125 + 0.214339i
\(610\) 0.352002 5.55411i 0.0142521 0.224879i
\(611\) 23.6143 + 1.63307i 0.955334 + 0.0660670i
\(612\) −4.86185 + 6.54807i −0.196529 + 0.264690i
\(613\) 33.2119 19.4305i 1.34142 0.784793i 0.352864 0.935674i \(-0.385208\pi\)
0.988552 + 0.150882i \(0.0482113\pi\)
\(614\) 14.4559 + 14.0459i 0.583394 + 0.566847i
\(615\) 0.898109 4.67298i 0.0362153 0.188433i
\(616\) 1.45334 2.97399i 0.0585566 0.119825i
\(617\) 46.7221 + 5.40048i 1.88096 + 0.217415i 0.977452 0.211157i \(-0.0677233\pi\)
0.903507 + 0.428573i \(0.140983\pi\)
\(618\) 1.58920 0.314924i 0.0639272 0.0126681i
\(619\) 2.46595 + 1.29423i 0.0991149 + 0.0520195i 0.513552 0.858058i \(-0.328329\pi\)
−0.414437 + 0.910078i \(0.636022\pi\)
\(620\) 7.32708 6.34224i 0.294263 0.254711i
\(621\) −16.1912 + 12.7603i −0.649730 + 0.512055i
\(622\) −22.0202 + 8.49641i −0.882930 + 0.340675i
\(623\) −27.1515 + 13.8541i −1.08780 + 0.555052i
\(624\) 0.0322661 0.0722469i 0.00129168 0.00289219i
\(625\) −2.26367 + 5.57811i −0.0905466 + 0.223125i
\(626\) 6.77637 + 4.85219i 0.270838 + 0.193933i
\(627\) 0.332209 0.560409i 0.0132672 0.0223806i
\(628\) −12.6378 15.8472i −0.504301 0.632374i
\(629\) −5.42277 9.64721i −0.216220 0.384659i
\(630\) −7.84208 4.95903i −0.312436 0.197572i
\(631\) −25.8999 + 3.59948i −1.03106 + 0.143293i −0.633068 0.774096i \(-0.718205\pi\)
−0.397992 + 0.917389i \(0.630293\pi\)
\(632\) 7.10938 + 5.47148i 0.282796 + 0.217644i
\(633\) 1.17612 10.7153i 0.0467466 0.425897i
\(634\) 2.11232 2.30297i 0.0838908 0.0914627i
\(635\) 16.3140 + 18.2026i 0.647402 + 0.722349i
\(636\) −0.717900 8.29728i −0.0284666 0.329008i
\(637\) 9.23125 6.61000i 0.365755 0.261898i
\(638\) −0.535991 2.22974i −0.0212201 0.0882762i
\(639\) −8.17074 2.11393i −0.323230 0.0836259i
\(640\) −4.57757 + 7.14748i −0.180944 + 0.282529i
\(641\) 25.3948 1.75620i 1.00303 0.0693657i 0.441877 0.897076i \(-0.354313\pi\)
0.561156 + 0.827710i \(0.310357\pi\)
\(642\) −0.0243668 4.23484i −0.000961683 0.167136i
\(643\) −2.33462 + 8.06004i −0.0920684 + 0.317857i −0.993313 0.115454i \(-0.963168\pi\)
0.901244 + 0.433311i \(0.142655\pi\)
\(644\) 3.51225 + 26.3848i 0.138402 + 1.03971i
\(645\) 4.94720 4.69743i 0.194796 0.184961i
\(646\) −2.14940 6.56372i −0.0845668 0.258246i
\(647\) −13.0792 20.4221i −0.514197 0.802874i 0.483160 0.875532i \(-0.339489\pi\)
−0.997357 + 0.0726585i \(0.976852\pi\)
\(648\) 10.1991 + 13.7364i 0.400660 + 0.539618i
\(649\) 0.906832 + 0.386365i 0.0355963 + 0.0151661i
\(650\) 3.23905 + 7.03402i 0.127046 + 0.275897i
\(651\) 12.7782 + 2.37971i 0.500817 + 0.0932680i
\(652\) 2.66161 7.82237i 0.104237 0.306347i
\(653\) −21.0908 + 7.04115i −0.825347 + 0.275541i −0.697801 0.716291i \(-0.745838\pi\)
−0.127546 + 0.991833i \(0.540710\pi\)
\(654\) 5.29758 1.30574i 0.207152 0.0510583i
\(655\) 8.50940 10.1807i 0.332490 0.397793i
\(656\) 0.175120 + 0.338380i 0.00683728 + 0.0132115i
\(657\) 4.38371 1.18814i 0.171025 0.0463537i
\(658\) −12.3765 25.3262i −0.482486 0.987319i
\(659\) 4.36575 + 12.3624i 0.170065 + 0.481570i 0.996700 0.0811681i \(-0.0258651\pi\)
−0.826635 + 0.562738i \(0.809748\pi\)
\(660\) 0.00851159 + 0.295776i 0.000331313 + 0.0115131i
\(661\) 9.42006 + 35.5651i 0.366398 + 1.38332i 0.858513 + 0.512792i \(0.171389\pi\)
−0.492115 + 0.870530i \(0.663776\pi\)
\(662\) 9.38001 10.7114i 0.364564 0.416310i
\(663\) −3.02890 1.81916i −0.117633 0.0706502i
\(664\) −36.1099 24.6193i −1.40134 0.955414i
\(665\) −12.0630 + 4.97635i −0.467784 + 0.192975i
\(666\) −10.1617 + 2.25791i −0.393758 + 0.0874921i
\(667\) 35.1759 + 32.6385i 1.36202 + 1.26377i
\(668\) −0.144058 + 3.57476i −0.00557377 + 0.138312i
\(669\) −4.63363 + 2.10148i −0.179146 + 0.0812479i
\(670\) 1.35623 0.418340i 0.0523956 0.0161619i
\(671\) 1.75106 + 0.675638i 0.0675988 + 0.0260827i
\(672\) −11.1731 + 1.16134i −0.431012 + 0.0447998i
\(673\) 3.56601 47.5851i 0.137460 1.83427i −0.322779 0.946474i \(-0.604617\pi\)
0.460238 0.887795i \(-0.347764\pi\)
\(674\) −1.26099 + 3.44397i −0.0485714 + 0.132657i
\(675\) −11.8229 0.954446i −0.455065 0.0367367i
\(676\) 8.12384 + 2.71214i 0.312455 + 0.104313i
\(677\) 21.3327 28.0511i 0.819881 1.07809i −0.175724 0.984439i \(-0.556227\pi\)
0.995605 0.0936512i \(-0.0298538\pi\)
\(678\) −2.53675 0.533104i −0.0974234 0.0204737i
\(679\) 5.63998 3.21312i 0.216443 0.123308i
\(680\) 6.29324 + 5.19891i 0.241335 + 0.199369i
\(681\) 7.93453 + 7.88901i 0.304052 + 0.302307i
\(682\) −0.781772 1.80600i −0.0299356 0.0691553i
\(683\) −7.11224 + 34.8381i −0.272142 + 1.33304i 0.582079 + 0.813132i \(0.302239\pi\)
−0.854222 + 0.519909i \(0.825966\pi\)
\(684\) 10.7859 0.248285i 0.412410 0.00949343i
\(685\) 1.14123 2.26875i 0.0436041 0.0866846i
\(686\) 6.49669 + 2.94643i 0.248045 + 0.112495i
\(687\) −15.3209 1.94981i −0.584528 0.0743898i
\(688\) −0.0783033 + 0.540596i −0.00298528 + 0.0206100i
\(689\) −27.9660 + 5.20817i −1.06542 + 0.198415i
\(690\) 2.15306 + 3.04372i 0.0819657 + 0.115873i
\(691\) 42.0959 + 22.7153i 1.60141 + 0.864131i 0.997761 + 0.0668771i \(0.0213035\pi\)
0.603644 + 0.797254i \(0.293715\pi\)
\(692\) 9.02089 5.70446i 0.342923 0.216851i
\(693\) 2.38935 2.02057i 0.0907638 0.0767551i
\(694\) −2.55168 4.19370i −0.0968605 0.159191i
\(695\) −2.21400 + 1.70393i −0.0839817 + 0.0646336i
\(696\) −8.78604 + 8.93903i −0.333034 + 0.338833i
\(697\) 15.9423 5.94144i 0.603859 0.225048i
\(698\) 3.97695 + 13.1614i 0.150530 + 0.498165i
\(699\) 13.0013 6.44644i 0.491754 0.243827i
\(700\) −8.84443 + 12.5031i −0.334288 + 0.472574i
\(701\) 10.2885 22.3429i 0.388592 0.843879i −0.610079 0.792340i \(-0.708862\pi\)
0.998671 0.0515381i \(-0.0164124\pi\)
\(702\) −5.23635 + 4.74767i −0.197633 + 0.179189i
\(703\) −5.66075 + 13.5012i −0.213499 + 0.509206i
\(704\) 1.06639 + 1.27584i 0.0401913 + 0.0480851i
\(705\) 5.28695 + 3.87850i 0.199118 + 0.146073i
\(706\) 2.39966 + 21.8627i 0.0903122 + 0.822812i
\(707\) 12.6334 20.7630i 0.475128 0.780874i
\(708\) −0.320351 2.04546i −0.0120395 0.0768731i
\(709\) 18.2983 + 23.4949i 0.687205 + 0.882370i 0.997671 0.0682146i \(-0.0217302\pi\)
−0.310465 + 0.950585i \(0.600485\pi\)
\(710\) −0.974690 + 3.09650i −0.0365795 + 0.116209i
\(711\) 4.07021 + 7.44015i 0.152645 + 0.279027i
\(712\) −1.30564 25.1904i −0.0489309 0.944050i
\(713\) 34.5482 + 22.4076i 1.29384 + 0.839171i
\(714\) −0.0726252 + 4.20694i −0.00271793 + 0.157441i
\(715\) 1.00261 0.127597i 0.0374956 0.00477187i
\(716\) −25.5403 7.87814i −0.954486 0.294420i
\(717\) −10.6341 8.38081i −0.397140 0.312987i
\(718\) −4.67051 + 0.215139i −0.174302 + 0.00802891i
\(719\) 0.212267 1.74818i 0.00791623 0.0651960i −0.988215 0.153070i \(-0.951084\pi\)
0.996132 + 0.0878737i \(0.0280072\pi\)
\(720\) −0.143895 + 0.0956993i −0.00536266 + 0.00356650i
\(721\) 7.48991 7.97963i 0.278939 0.297177i
\(722\) 4.09774 6.08522i 0.152502 0.226468i
\(723\) −3.83221 4.37615i −0.142522 0.162751i
\(724\) −2.20911 12.2535i −0.0821011 0.455397i
\(725\) 2.06328 + 27.5325i 0.0766282 + 1.02253i
\(726\) −5.27402 1.49480i −0.195737 0.0554773i
\(727\) 34.6375 24.2040i 1.28463 0.897675i 0.286460 0.958092i \(-0.407522\pi\)
0.998173 + 0.0604174i \(0.0192432\pi\)
\(728\) 4.75020 + 23.2680i 0.176054 + 0.862369i
\(729\) 2.32259 + 10.1759i 0.0860218 + 0.376886i
\(730\) −0.369116 1.70755i −0.0136616 0.0631991i
\(731\) 23.5422 + 6.38075i 0.870738 + 0.236001i
\(732\) −0.744046 3.87138i −0.0275007 0.143090i
\(733\) −20.4466 + 31.1309i −0.755214 + 1.14985i 0.229097 + 0.973404i \(0.426423\pi\)
−0.984311 + 0.176444i \(0.943541\pi\)
\(734\) −12.7684 + 8.70533i −0.471289 + 0.321320i
\(735\) 3.13990 0.180864i 0.115817 0.00667127i
\(736\) −34.1256 10.0978i −1.25789 0.372209i
\(737\) −0.00275407 + 0.478644i −0.000101447 + 0.0176311i
\(738\) −1.01219 15.9709i −0.0372591 0.587898i
\(739\) −11.5037 + 38.0705i −0.423171 + 1.40045i 0.441117 + 0.897450i \(0.354582\pi\)
−0.864288 + 0.502997i \(0.832231\pi\)
\(740\) −1.10438 6.55703i −0.0405979 0.241041i
\(741\) 0.563381 + 4.63986i 0.0206963 + 0.170449i
\(742\) 22.0231 + 25.7407i 0.808493 + 0.944971i
\(743\) −7.32491 + 6.79652i −0.268725 + 0.249340i −0.803012 0.595963i \(-0.796771\pi\)
0.534287 + 0.845303i \(0.320580\pi\)
\(744\) −6.11009 + 8.85199i −0.224007 + 0.324530i
\(745\) −1.12863 3.58554i −0.0413497 0.131364i
\(746\) 13.4832 14.0374i 0.493653 0.513948i
\(747\) −21.8802 35.0455i −0.800553 1.28225i
\(748\) −0.887605 + 0.575692i −0.0324540 + 0.0210494i