Properties

Label 546.2.ch.a.305.7
Level $546$
Weight $2$
Character 546.305
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.ch (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 305.7
Character \(\chi\) \(=\) 546.305
Dual form 546.2.ch.a.401.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.745885 + 1.56322i) q^{3} +1.00000i q^{4} +(1.03725 - 3.87106i) q^{5} +(1.63278 - 0.577943i) q^{6} +(-1.61433 - 2.09617i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.88731 - 2.33196i) q^{9} +O(q^{10})\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.745885 + 1.56322i) q^{3} +1.00000i q^{4} +(1.03725 - 3.87106i) q^{5} +(1.63278 - 0.577943i) q^{6} +(-1.61433 - 2.09617i) q^{7} +(0.707107 - 0.707107i) q^{8} +(-1.88731 - 2.33196i) q^{9} +(-3.47070 + 2.00381i) q^{10} +(1.57361 + 0.421648i) q^{11} +(-1.56322 - 0.745885i) q^{12} +(-2.67586 + 2.41657i) q^{13} +(-0.340714 + 2.62372i) q^{14} +(5.27765 + 4.50881i) q^{15} -1.00000 q^{16} -5.88681 q^{17} +(-0.314418 + 2.98348i) q^{18} +(1.73298 + 6.46758i) q^{19} +(3.87106 + 1.03725i) q^{20} +(4.48088 - 0.960048i) q^{21} +(-0.814562 - 1.41086i) q^{22} -5.97593 q^{23} +(0.577943 + 1.63278i) q^{24} +(-9.57911 - 5.53050i) q^{25} +(3.60089 + 0.183345i) q^{26} +(5.05309 - 1.21090i) q^{27} +(2.09617 - 1.61433i) q^{28} +(2.46222 + 1.42156i) q^{29} +(-0.543650 - 6.92008i) q^{30} +(-1.90395 - 7.10565i) q^{31} +(0.707107 + 0.707107i) q^{32} +(-1.83286 + 2.14540i) q^{33} +(4.16260 + 4.16260i) q^{34} +(-9.78887 + 4.07492i) q^{35} +(2.33196 - 1.88731i) q^{36} +(-5.59196 - 5.59196i) q^{37} +(3.34787 - 5.79867i) q^{38} +(-1.78174 - 5.98543i) q^{39} +(-2.00381 - 3.47070i) q^{40} +(-2.15636 + 0.577796i) q^{41} +(-3.84732 - 2.48961i) q^{42} +(4.83953 - 2.79410i) q^{43} +(-0.421648 + 1.57361i) q^{44} +(-10.9848 + 4.88707i) q^{45} +(4.22562 + 4.22562i) q^{46} +(-2.99401 - 0.802243i) q^{47} +(0.745885 - 1.56322i) q^{48} +(-1.78788 + 6.76783i) q^{49} +(2.86280 + 10.6841i) q^{50} +(4.39089 - 9.20238i) q^{51} +(-2.41657 - 2.67586i) q^{52} +(-5.23782 - 3.02406i) q^{53} +(-4.42931 - 2.71684i) q^{54} +(3.26445 - 5.65420i) q^{55} +(-2.62372 - 0.340714i) q^{56} +(-11.4029 - 2.11504i) q^{57} +(-0.735856 - 2.74625i) q^{58} +(-2.53140 + 2.53140i) q^{59} +(-4.50881 + 5.27765i) q^{60} +(2.04412 - 3.54052i) q^{61} +(-3.67816 + 6.37075i) q^{62} +(-1.84146 + 7.72069i) q^{63} -1.00000i q^{64} +(6.57916 + 12.8650i) q^{65} +(2.81306 - 0.220998i) q^{66} +(10.2779 + 2.75396i) q^{67} -5.88681i q^{68} +(4.45736 - 9.34170i) q^{69} +(9.80318 + 4.04038i) q^{70} +(1.37770 - 5.14163i) q^{71} +(-2.98348 - 0.314418i) q^{72} +(2.06993 - 0.554635i) q^{73} +7.90822i q^{74} +(15.7903 - 10.8491i) q^{75} +(-6.46758 + 1.73298i) q^{76} +(-1.65648 - 3.97925i) q^{77} +(-2.97246 + 5.49222i) q^{78} +(0.573713 + 0.993700i) q^{79} +(-1.03725 + 3.87106i) q^{80} +(-1.87612 + 8.80228i) q^{81} +(1.93334 + 1.11622i) q^{82} +(-0.681245 - 0.681245i) q^{83} +(0.960048 + 4.48088i) q^{84} +(-6.10608 + 22.7882i) q^{85} +(-5.39779 - 1.44633i) q^{86} +(-4.05875 + 2.78867i) q^{87} +(1.41086 - 0.814562i) q^{88} +(-7.35319 + 7.35319i) q^{89} +(11.2231 + 4.31174i) q^{90} +(9.38526 + 1.70792i) q^{91} -5.97593i q^{92} +(12.5278 + 2.32370i) q^{93} +(1.54981 + 2.68436i) q^{94} +26.8339 q^{95} +(-1.63278 + 0.577943i) q^{96} +(-5.15747 - 1.38194i) q^{97} +(6.04980 - 3.52136i) q^{98} +(-1.98663 - 4.46539i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 8q^{7} + O(q^{10}) \) \( 152q + 8q^{7} - 152q^{16} - 8q^{18} + 36q^{19} + 8q^{21} + 24q^{27} - 12q^{28} - 24q^{30} - 36q^{31} + 12q^{33} + 24q^{36} - 12q^{37} - 8q^{39} - 36q^{42} + 84q^{43} - 40q^{45} + 8q^{46} + 4q^{49} - 20q^{52} - 12q^{54} + 16q^{55} - 8q^{57} + 8q^{58} + 24q^{60} - 32q^{61} - 28q^{63} + 16q^{66} + 92q^{67} + 84q^{69} - 8q^{72} + 84q^{73} - 48q^{76} - 8q^{78} + 32q^{79} - 24q^{81} - 48q^{82} - 8q^{84} - 152q^{85} - 96q^{87} - 88q^{91} - 48q^{93} + 32q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 0.707107i −0.500000 0.500000i
\(3\) −0.745885 + 1.56322i −0.430637 + 0.902525i
\(4\) 1.00000i 0.500000i
\(5\) 1.03725 3.87106i 0.463871 1.73119i −0.196733 0.980457i \(-0.563033\pi\)
0.660604 0.750734i \(-0.270300\pi\)
\(6\) 1.63278 0.577943i 0.666581 0.235944i
\(7\) −1.61433 2.09617i −0.610159 0.792279i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.88731 2.33196i −0.629103 0.777322i
\(10\) −3.47070 + 2.00381i −1.09753 + 0.633660i
\(11\) 1.57361 + 0.421648i 0.474462 + 0.127132i 0.488123 0.872775i \(-0.337682\pi\)
−0.0136606 + 0.999907i \(0.504348\pi\)
\(12\) −1.56322 0.745885i −0.451263 0.215319i
\(13\) −2.67586 + 2.41657i −0.742149 + 0.670235i
\(14\) −0.340714 + 2.62372i −0.0910597 + 0.701219i
\(15\) 5.27765 + 4.50881i 1.36268 + 1.16417i
\(16\) −1.00000 −0.250000
\(17\) −5.88681 −1.42776 −0.713881 0.700267i \(-0.753064\pi\)
−0.713881 + 0.700267i \(0.753064\pi\)
\(18\) −0.314418 + 2.98348i −0.0741091 + 0.703213i
\(19\) 1.73298 + 6.46758i 0.397574 + 1.48376i 0.817352 + 0.576138i \(0.195441\pi\)
−0.419779 + 0.907627i \(0.637892\pi\)
\(20\) 3.87106 + 1.03725i 0.865596 + 0.231936i
\(21\) 4.48088 0.960048i 0.977809 0.209500i
\(22\) −0.814562 1.41086i −0.173665 0.300797i
\(23\) −5.97593 −1.24607 −0.623034 0.782195i \(-0.714100\pi\)
−0.623034 + 0.782195i \(0.714100\pi\)
\(24\) 0.577943 + 1.63278i 0.117972 + 0.333291i
\(25\) −9.57911 5.53050i −1.91582 1.10610i
\(26\) 3.60089 + 0.183345i 0.706192 + 0.0359568i
\(27\) 5.05309 1.21090i 0.972468 0.233038i
\(28\) 2.09617 1.61433i 0.396139 0.305080i
\(29\) 2.46222 + 1.42156i 0.457223 + 0.263978i 0.710876 0.703318i \(-0.248299\pi\)
−0.253653 + 0.967295i \(0.581632\pi\)
\(30\) −0.543650 6.92008i −0.0992565 1.26343i
\(31\) −1.90395 7.10565i −0.341960 1.27621i −0.896124 0.443805i \(-0.853628\pi\)
0.554163 0.832408i \(-0.313038\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) −1.83286 + 2.14540i −0.319061 + 0.373467i
\(34\) 4.16260 + 4.16260i 0.713881 + 0.713881i
\(35\) −9.78887 + 4.07492i −1.65462 + 0.688787i
\(36\) 2.33196 1.88731i 0.388661 0.314552i
\(37\) −5.59196 5.59196i −0.919312 0.919312i 0.0776672 0.996979i \(-0.475253\pi\)
−0.996979 + 0.0776672i \(0.975253\pi\)
\(38\) 3.34787 5.79867i 0.543096 0.940669i
\(39\) −1.78174 5.98543i −0.285307 0.958436i
\(40\) −2.00381 3.47070i −0.316830 0.548766i
\(41\) −2.15636 + 0.577796i −0.336767 + 0.0902365i −0.423240 0.906018i \(-0.639107\pi\)
0.0864724 + 0.996254i \(0.472441\pi\)
\(42\) −3.84732 2.48961i −0.593654 0.384155i
\(43\) 4.83953 2.79410i 0.738021 0.426097i −0.0833284 0.996522i \(-0.526555\pi\)
0.821349 + 0.570426i \(0.193222\pi\)
\(44\) −0.421648 + 1.57361i −0.0635659 + 0.237231i
\(45\) −10.9848 + 4.88707i −1.63752 + 0.728521i
\(46\) 4.22562 + 4.22562i 0.623034 + 0.623034i
\(47\) −2.99401 0.802243i −0.436722 0.117019i 0.0337581 0.999430i \(-0.489252\pi\)
−0.470480 + 0.882411i \(0.655919\pi\)
\(48\) 0.745885 1.56322i 0.107659 0.225631i
\(49\) −1.78788 + 6.76783i −0.255411 + 0.966833i
\(50\) 2.86280 + 10.6841i 0.404861 + 1.51096i
\(51\) 4.39089 9.20238i 0.614847 1.28859i
\(52\) −2.41657 2.67586i −0.335118 0.371074i
\(53\) −5.23782 3.02406i −0.719470 0.415386i 0.0950876 0.995469i \(-0.469687\pi\)
−0.814558 + 0.580083i \(0.803020\pi\)
\(54\) −4.42931 2.71684i −0.602753 0.369715i
\(55\) 3.26445 5.65420i 0.440179 0.762412i
\(56\) −2.62372 0.340714i −0.350610 0.0455299i
\(57\) −11.4029 2.11504i −1.51035 0.280144i
\(58\) −0.735856 2.74625i −0.0966226 0.360600i
\(59\) −2.53140 + 2.53140i −0.329560 + 0.329560i −0.852419 0.522859i \(-0.824865\pi\)
0.522859 + 0.852419i \(0.324865\pi\)
\(60\) −4.50881 + 5.27765i −0.582085 + 0.681342i
\(61\) 2.04412 3.54052i 0.261723 0.453317i −0.704977 0.709230i \(-0.749043\pi\)
0.966700 + 0.255913i \(0.0823761\pi\)
\(62\) −3.67816 + 6.37075i −0.467126 + 0.809086i
\(63\) −1.84146 + 7.72069i −0.232002 + 0.972715i
\(64\) 1.00000i 0.125000i
\(65\) 6.57916 + 12.8650i 0.816044 + 1.59570i
\(66\) 2.81306 0.220998i 0.346264 0.0272029i
\(67\) 10.2779 + 2.75396i 1.25565 + 0.336450i 0.824516 0.565838i \(-0.191447\pi\)
0.431133 + 0.902288i \(0.358114\pi\)
\(68\) 5.88681i 0.713881i
\(69\) 4.45736 9.34170i 0.536603 1.12461i
\(70\) 9.80318 + 4.04038i 1.17170 + 0.482917i
\(71\) 1.37770 5.14163i 0.163502 0.610199i −0.834724 0.550669i \(-0.814373\pi\)
0.998226 0.0595309i \(-0.0189605\pi\)
\(72\) −2.98348 0.314418i −0.351606 0.0370545i
\(73\) 2.06993 0.554635i 0.242266 0.0649151i −0.135643 0.990758i \(-0.543310\pi\)
0.377909 + 0.925843i \(0.376643\pi\)
\(74\) 7.90822i 0.919312i
\(75\) 15.7903 10.8491i 1.82331 1.25275i
\(76\) −6.46758 + 1.73298i −0.741882 + 0.198787i
\(77\) −1.65648 3.97925i −0.188774 0.453477i
\(78\) −2.97246 + 5.49222i −0.336564 + 0.621872i
\(79\) 0.573713 + 0.993700i 0.0645478 + 0.111800i 0.896493 0.443057i \(-0.146106\pi\)
−0.831946 + 0.554857i \(0.812773\pi\)
\(80\) −1.03725 + 3.87106i −0.115968 + 0.432798i
\(81\) −1.87612 + 8.80228i −0.208458 + 0.978031i
\(82\) 1.93334 + 1.11622i 0.213502 + 0.123265i
\(83\) −0.681245 0.681245i −0.0747764 0.0747764i 0.668729 0.743506i \(-0.266838\pi\)
−0.743506 + 0.668729i \(0.766838\pi\)
\(84\) 0.960048 + 4.48088i 0.104750 + 0.488904i
\(85\) −6.10608 + 22.7882i −0.662298 + 2.47173i
\(86\) −5.39779 1.44633i −0.582059 0.155962i
\(87\) −4.05875 + 2.78867i −0.435144 + 0.298977i
\(88\) 1.41086 0.814562i 0.150399 0.0868326i
\(89\) −7.35319 + 7.35319i −0.779436 + 0.779436i −0.979735 0.200299i \(-0.935809\pi\)
0.200299 + 0.979735i \(0.435809\pi\)
\(90\) 11.2231 + 4.31174i 1.18302 + 0.454497i
\(91\) 9.38526 + 1.70792i 0.983842 + 0.179039i
\(92\) 5.97593i 0.623034i
\(93\) 12.5278 + 2.32370i 1.29907 + 0.240957i
\(94\) 1.54981 + 2.68436i 0.159851 + 0.276870i
\(95\) 26.8339 2.75310
\(96\) −1.63278 + 0.577943i −0.166645 + 0.0589860i
\(97\) −5.15747 1.38194i −0.523662 0.140315i −0.0127021 0.999919i \(-0.504043\pi\)
−0.510960 + 0.859605i \(0.670710\pi\)
\(98\) 6.04980 3.52136i 0.611122 0.355711i
\(99\) −1.98663 4.46539i −0.199664 0.448789i
\(100\) 5.53050 9.57911i 0.553050 0.957911i
\(101\) −1.12814 1.95400i −0.112254 0.194430i 0.804425 0.594055i \(-0.202474\pi\)
−0.916679 + 0.399625i \(0.869140\pi\)
\(102\) −9.61189 + 3.40224i −0.951719 + 0.336872i
\(103\) 1.04826 0.605216i 0.103289 0.0596337i −0.447466 0.894301i \(-0.647673\pi\)
0.550754 + 0.834667i \(0.314340\pi\)
\(104\) −0.183345 + 3.60089i −0.0179784 + 0.353096i
\(105\) 0.931382 18.3416i 0.0908936 1.78995i
\(106\) 1.56537 + 5.84203i 0.152042 + 0.567428i
\(107\) 2.17128i 0.209905i 0.994477 + 0.104953i \(0.0334691\pi\)
−0.994477 + 0.104953i \(0.966531\pi\)
\(108\) 1.21090 + 5.05309i 0.116519 + 0.486234i
\(109\) −4.69427 17.5193i −0.449630 1.67804i −0.703414 0.710781i \(-0.748342\pi\)
0.253784 0.967261i \(-0.418325\pi\)
\(110\) −6.30644 + 1.68981i −0.601296 + 0.161117i
\(111\) 12.9124 4.57050i 1.22559 0.433812i
\(112\) 1.61433 + 2.09617i 0.152540 + 0.198070i
\(113\) 11.9494 6.89900i 1.12411 0.649004i 0.181661 0.983361i \(-0.441853\pi\)
0.942446 + 0.334358i \(0.108519\pi\)
\(114\) 6.56748 + 9.55860i 0.615101 + 0.895245i
\(115\) −6.19852 + 23.1332i −0.578015 + 2.15718i
\(116\) −1.42156 + 2.46222i −0.131989 + 0.228611i
\(117\) 10.6855 + 1.67919i 0.987877 + 0.155241i
\(118\) 3.57993 0.329560
\(119\) 9.50326 + 12.3398i 0.871162 + 1.13119i
\(120\) 6.92008 0.543650i 0.631714 0.0496282i
\(121\) −7.22781 4.17298i −0.657073 0.379362i
\(122\) −3.94893 + 1.05811i −0.357520 + 0.0957971i
\(123\) 0.705178 3.80184i 0.0635838 0.342800i
\(124\) 7.10565 1.90395i 0.638106 0.170980i
\(125\) −17.1758 + 17.1758i −1.53625 + 1.53625i
\(126\) 6.76146 4.15724i 0.602359 0.370357i
\(127\) −12.5477 7.24444i −1.11343 0.642840i −0.173716 0.984796i \(-0.555577\pi\)
−0.939716 + 0.341956i \(0.888911\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) 0.758063 + 9.64932i 0.0667437 + 0.849575i
\(130\) 4.44475 13.7491i 0.389830 1.20587i
\(131\) −5.52239 + 3.18836i −0.482494 + 0.278568i −0.721455 0.692461i \(-0.756526\pi\)
0.238961 + 0.971029i \(0.423193\pi\)
\(132\) −2.14540 1.83286i −0.186733 0.159530i
\(133\) 10.7596 14.0734i 0.932972 1.22032i
\(134\) −5.32025 9.21494i −0.459600 0.796050i
\(135\) 0.553830 20.8168i 0.0476661 1.79163i
\(136\) −4.16260 + 4.16260i −0.356940 + 0.356940i
\(137\) 11.3200 11.3200i 0.967133 0.967133i −0.0323438 0.999477i \(-0.510297\pi\)
0.999477 + 0.0323438i \(0.0102972\pi\)
\(138\) −9.75741 + 3.45375i −0.830606 + 0.294002i
\(139\) 0.531967 + 0.921393i 0.0451208 + 0.0781516i 0.887704 0.460415i \(-0.152299\pi\)
−0.842583 + 0.538567i \(0.818966\pi\)
\(140\) −4.07492 9.78887i −0.344394 0.827311i
\(141\) 3.48727 4.08192i 0.293681 0.343759i
\(142\) −4.60986 + 2.66150i −0.386851 + 0.223349i
\(143\) −5.22970 + 2.67447i −0.437330 + 0.223651i
\(144\) 1.88731 + 2.33196i 0.157276 + 0.194330i
\(145\) 8.05689 8.05689i 0.669089 0.669089i
\(146\) −1.85584 1.07147i −0.153591 0.0886757i
\(147\) −9.24605 7.84287i −0.762601 0.646869i
\(148\) 5.59196 5.59196i 0.459656 0.459656i
\(149\) 6.39255 1.71288i 0.523698 0.140324i 0.0127215 0.999919i \(-0.495951\pi\)
0.510977 + 0.859595i \(0.329284\pi\)
\(150\) −18.8369 3.49394i −1.53803 0.285279i
\(151\) 18.3450 4.91552i 1.49289 0.400019i 0.582180 0.813060i \(-0.302200\pi\)
0.910713 + 0.413041i \(0.135533\pi\)
\(152\) 5.79867 + 3.34787i 0.470335 + 0.271548i
\(153\) 11.1102 + 13.7278i 0.898210 + 1.10983i
\(154\) −1.64244 + 3.98506i −0.132352 + 0.321125i
\(155\) −29.4813 −2.36799
\(156\) 5.98543 1.78174i 0.479218 0.142654i
\(157\) −4.35942 + 7.55074i −0.347920 + 0.602614i −0.985880 0.167455i \(-0.946445\pi\)
0.637960 + 0.770069i \(0.279778\pi\)
\(158\) 0.296976 1.10833i 0.0236261 0.0881739i
\(159\) 8.63408 5.93226i 0.684727 0.470459i
\(160\) 3.47070 2.00381i 0.274383 0.158415i
\(161\) 9.64713 + 12.5266i 0.760300 + 0.987233i
\(162\) 7.55077 4.89754i 0.593245 0.384787i
\(163\) −6.48055 + 1.73646i −0.507596 + 0.136010i −0.503523 0.863982i \(-0.667963\pi\)
−0.00407280 + 0.999992i \(0.501296\pi\)
\(164\) −0.577796 2.15636i −0.0451183 0.168384i
\(165\) 6.40385 + 9.32044i 0.498539 + 0.725596i
\(166\) 0.963426i 0.0747764i
\(167\) −1.29865 4.84662i −0.100492 0.375043i 0.897302 0.441416i \(-0.145524\pi\)
−0.997795 + 0.0663734i \(0.978857\pi\)
\(168\) 2.48961 3.84732i 0.192077 0.296827i
\(169\) 1.32041 12.9328i 0.101570 0.994828i
\(170\) 20.4314 11.7960i 1.56701 0.904715i
\(171\) 11.8115 16.2476i 0.903248 1.24248i
\(172\) 2.79410 + 4.83953i 0.213048 + 0.369010i
\(173\) −0.813892 + 1.40970i −0.0618791 + 0.107178i −0.895305 0.445453i \(-0.853043\pi\)
0.833426 + 0.552631i \(0.186376\pi\)
\(174\) 4.84186 + 0.898084i 0.367060 + 0.0680836i
\(175\) 3.87096 + 29.0075i 0.292617 + 2.19276i
\(176\) −1.57361 0.421648i −0.118616 0.0317829i
\(177\) −2.06900 5.84526i −0.155515 0.439357i
\(178\) 10.3990 0.779436
\(179\) −7.90152 13.6858i −0.590587 1.02293i −0.994153 0.107977i \(-0.965563\pi\)
0.403566 0.914951i \(-0.367771\pi\)
\(180\) −4.88707 10.9848i −0.364261 0.818758i
\(181\) 6.41426i 0.476768i −0.971171 0.238384i \(-0.923382\pi\)
0.971171 0.238384i \(-0.0766177\pi\)
\(182\) −5.42870 7.84406i −0.402402 0.581440i
\(183\) 4.00993 + 5.83622i 0.296422 + 0.431426i
\(184\) −4.22562 + 4.22562i −0.311517 + 0.311517i
\(185\) −27.4471 + 15.8466i −2.01795 + 1.16506i
\(186\) −7.21540 10.5016i −0.529059 0.770016i
\(187\) −9.26357 2.48217i −0.677419 0.181514i
\(188\) 0.802243 2.99401i 0.0585096 0.218361i
\(189\) −10.6956 8.63735i −0.777991 0.628275i
\(190\) −18.9745 18.9745i −1.37655 1.37655i
\(191\) 18.0922 + 10.4455i 1.30911 + 0.755813i 0.981947 0.189157i \(-0.0605754\pi\)
0.327159 + 0.944969i \(0.393909\pi\)
\(192\) 1.56322 + 0.745885i 0.112816 + 0.0538296i
\(193\) 0.827812 3.08944i 0.0595872 0.222383i −0.929711 0.368290i \(-0.879943\pi\)
0.989298 + 0.145907i \(0.0466101\pi\)
\(194\) 2.66970 + 4.62406i 0.191674 + 0.331988i
\(195\) −25.0181 + 0.688864i −1.79158 + 0.0493306i
\(196\) −6.76783 1.78788i −0.483416 0.127706i
\(197\) 17.4647 4.67965i 1.24431 0.333411i 0.424173 0.905581i \(-0.360565\pi\)
0.820135 + 0.572170i \(0.193898\pi\)
\(198\) −1.75275 + 4.56227i −0.124563 + 0.324226i
\(199\) 1.70055i 0.120549i −0.998182 0.0602744i \(-0.980802\pi\)
0.998182 0.0602744i \(-0.0191976\pi\)
\(200\) −10.6841 + 2.86280i −0.755480 + 0.202430i
\(201\) −11.9712 + 14.0125i −0.844384 + 0.988367i
\(202\) −0.583969 + 2.17940i −0.0410879 + 0.153342i
\(203\) −0.994993 7.45611i −0.0698348 0.523316i
\(204\) 9.20238 + 4.39089i 0.644295 + 0.307424i
\(205\) 8.94673i 0.624867i
\(206\) −1.16919 0.313283i −0.0814612 0.0218275i
\(207\) 11.2784 + 13.9357i 0.783906 + 0.968596i
\(208\) 2.67586 2.41657i 0.185537 0.167559i
\(209\) 10.9082i 0.754535i
\(210\) −13.6280 + 12.3109i −0.940424 + 0.849531i
\(211\) −3.14641 + 5.44974i −0.216608 + 0.375176i −0.953769 0.300541i \(-0.902833\pi\)
0.737161 + 0.675717i \(0.236166\pi\)
\(212\) 3.02406 5.23782i 0.207693 0.359735i
\(213\) 7.00990 + 5.98871i 0.480310 + 0.410340i
\(214\) 1.53533 1.53533i 0.104953 0.104953i
\(215\) −5.79635 21.6323i −0.395308 1.47531i
\(216\) 2.71684 4.42931i 0.184857 0.301376i
\(217\) −11.8211 + 15.4619i −0.802466 + 1.04962i
\(218\) −9.06864 + 15.7073i −0.614206 + 1.06384i
\(219\) −0.676911 + 3.64944i −0.0457414 + 0.246606i
\(220\) 5.65420 + 3.26445i 0.381206 + 0.220089i
\(221\) 15.7523 14.2259i 1.05961 0.956936i
\(222\) −12.3623 5.89863i −0.829702 0.395890i
\(223\) 1.55730 + 5.81191i 0.104284 + 0.389194i 0.998263 0.0589152i \(-0.0187642\pi\)
−0.893979 + 0.448109i \(0.852098\pi\)
\(224\) 0.340714 2.62372i 0.0227649 0.175305i
\(225\) 5.18182 + 32.7759i 0.345454 + 2.18506i
\(226\) −13.3278 3.57119i −0.886555 0.237552i
\(227\) 11.3976 + 11.3976i 0.756488 + 0.756488i 0.975681 0.219194i \(-0.0703427\pi\)
−0.219194 + 0.975681i \(0.570343\pi\)
\(228\) 2.11504 11.4029i 0.140072 0.755173i
\(229\) −4.49023 + 16.7578i −0.296723 + 1.10739i 0.643116 + 0.765769i \(0.277641\pi\)
−0.939839 + 0.341617i \(0.889025\pi\)
\(230\) 20.7407 11.9746i 1.36760 0.789584i
\(231\) 7.45598 + 0.378613i 0.490567 + 0.0249109i
\(232\) 2.74625 0.735856i 0.180300 0.0483113i
\(233\) 6.51018 + 11.2760i 0.426496 + 0.738712i 0.996559 0.0828886i \(-0.0264146\pi\)
−0.570063 + 0.821601i \(0.693081\pi\)
\(234\) −6.36844 8.74317i −0.416318 0.571559i
\(235\) −6.21106 + 10.7579i −0.405165 + 0.701767i
\(236\) −2.53140 2.53140i −0.164780 0.164780i
\(237\) −1.98130 + 0.155653i −0.128699 + 0.0101108i
\(238\) 2.00572 15.4454i 0.130012 1.00117i
\(239\) 15.1157 + 15.1157i 0.977756 + 0.977756i 0.999758 0.0220017i \(-0.00700392\pi\)
−0.0220017 + 0.999758i \(0.507004\pi\)
\(240\) −5.27765 4.50881i −0.340671 0.291043i
\(241\) 2.86892 + 2.86892i 0.184803 + 0.184803i 0.793445 0.608642i \(-0.208285\pi\)
−0.608642 + 0.793445i \(0.708285\pi\)
\(242\) 2.16009 + 8.06157i 0.138856 + 0.518217i
\(243\) −12.3605 9.49828i −0.792928 0.609315i
\(244\) 3.54052 + 2.04412i 0.226658 + 0.130861i
\(245\) 24.3442 + 13.9409i 1.55529 + 0.890652i
\(246\) −3.18694 + 2.18967i −0.203192 + 0.139608i
\(247\) −20.2666 13.1184i −1.28953 0.834707i
\(248\) −6.37075 3.67816i −0.404543 0.233563i
\(249\) 1.57307 0.556805i 0.0996890 0.0352861i
\(250\) 24.2902 1.53625
\(251\) −0.388071 0.672159i −0.0244948 0.0424263i 0.853518 0.521063i \(-0.174464\pi\)
−0.878013 + 0.478637i \(0.841131\pi\)
\(252\) −7.72069 1.84146i −0.486358 0.116001i
\(253\) −9.40381 2.51974i −0.591212 0.158415i
\(254\) 3.75000 + 13.9952i 0.235296 + 0.878136i
\(255\) −31.0685 26.5425i −1.94559 1.66216i
\(256\) 1.00000 0.0625000
\(257\) 7.87093 0.490975 0.245488 0.969400i \(-0.421052\pi\)
0.245488 + 0.969400i \(0.421052\pi\)
\(258\) 6.28707 7.35913i 0.391416 0.458160i
\(259\) −2.69444 + 20.7490i −0.167425 + 1.28928i
\(260\) −12.8650 + 6.57916i −0.797852 + 0.408022i
\(261\) −1.33194 8.42474i −0.0824449 0.521479i
\(262\) 6.15943 + 1.65041i 0.380531 + 0.101963i
\(263\) −4.63532 + 2.67620i −0.285826 + 0.165022i −0.636058 0.771641i \(-0.719436\pi\)
0.350232 + 0.936663i \(0.386103\pi\)
\(264\) 0.220998 + 2.81306i 0.0136015 + 0.173132i
\(265\) −17.1392 + 17.1392i −1.05285 + 1.05285i
\(266\) −17.5596 + 2.34327i −1.07665 + 0.143675i
\(267\) −6.01001 16.9793i −0.367807 1.03912i
\(268\) −2.75396 + 10.2779i −0.168225 + 0.627825i
\(269\) 20.9401i 1.27674i −0.769731 0.638369i \(-0.779610\pi\)
0.769731 0.638369i \(-0.220390\pi\)
\(270\) −15.1113 + 14.3281i −0.919647 + 0.871981i
\(271\) −5.61422 5.61422i −0.341040 0.341040i 0.515718 0.856758i \(-0.327525\pi\)
−0.856758 + 0.515718i \(0.827525\pi\)
\(272\) 5.88681 0.356940
\(273\) −9.67018 + 13.3973i −0.585266 + 0.810842i
\(274\) −16.0089 −0.967133
\(275\) −12.7419 12.7419i −0.768365 0.768365i
\(276\) 9.34170 + 4.45736i 0.562304 + 0.268302i
\(277\) 1.13058i 0.0679298i 0.999423 + 0.0339649i \(0.0108134\pi\)
−0.999423 + 0.0339649i \(0.989187\pi\)
\(278\) 0.275366 1.02768i 0.0165154 0.0616362i
\(279\) −12.9768 + 17.8505i −0.776899 + 1.06868i
\(280\) −4.04038 + 9.80318i −0.241459 + 0.585852i
\(281\) 0.557025 0.557025i 0.0332293 0.0332293i −0.690297 0.723526i \(-0.742520\pi\)
0.723526 + 0.690297i \(0.242520\pi\)
\(282\) −5.35222 + 0.420478i −0.318720 + 0.0250391i
\(283\) −3.02685 + 1.74756i −0.179928 + 0.103881i −0.587259 0.809399i \(-0.699793\pi\)
0.407331 + 0.913281i \(0.366460\pi\)
\(284\) 5.14163 + 1.37770i 0.305100 + 0.0817512i
\(285\) −20.0150 + 41.9473i −1.18559 + 2.48475i
\(286\) 5.58910 + 1.80682i 0.330490 + 0.106840i
\(287\) 4.69224 + 3.58736i 0.276974 + 0.211755i
\(288\) 0.314418 2.98348i 0.0185273 0.175803i
\(289\) 17.6546 1.03850
\(290\) −11.3942 −0.669089
\(291\) 6.00716 7.03149i 0.352146 0.412193i
\(292\) 0.554635 + 2.06993i 0.0324575 + 0.121133i
\(293\) −32.7508 8.77554i −1.91332 0.512673i −0.992423 0.122867i \(-0.960791\pi\)
−0.920897 0.389806i \(-0.872542\pi\)
\(294\) 0.992197 + 12.0837i 0.0578661 + 0.704735i
\(295\) 7.17351 + 12.4249i 0.417658 + 0.723404i
\(296\) −7.90822 −0.459656
\(297\) 8.46219 + 0.225136i 0.491026 + 0.0130637i
\(298\) −5.73140 3.30903i −0.332011 0.191687i
\(299\) 15.9907 14.4412i 0.924768 0.835159i
\(300\) 10.8491 + 15.7903i 0.626375 + 0.911654i
\(301\) −13.6695 5.63388i −0.787898 0.324731i
\(302\) −16.4477 9.49606i −0.946456 0.546437i
\(303\) 3.89599 0.306074i 0.223819 0.0175835i
\(304\) −1.73298 6.46758i −0.0993934 0.370941i
\(305\) −11.5853 11.5853i −0.663372 0.663372i
\(306\) 1.85092 17.5632i 0.105810 1.00402i
\(307\) 1.07278 + 1.07278i 0.0612269 + 0.0612269i 0.737057 0.675830i \(-0.236215\pi\)
−0.675830 + 0.737057i \(0.736215\pi\)
\(308\) 3.97925 1.65648i 0.226739 0.0943869i
\(309\) 0.164200 + 2.09009i 0.00934102 + 0.118901i
\(310\) 20.8464 + 20.8464i 1.18400 + 1.18400i
\(311\) 13.8659 24.0165i 0.786264 1.36185i −0.141977 0.989870i \(-0.545346\pi\)
0.928241 0.371979i \(-0.121321\pi\)
\(312\) −5.49222 2.97246i −0.310936 0.168282i
\(313\) −13.5852 23.5302i −0.767880 1.33001i −0.938711 0.344706i \(-0.887979\pi\)
0.170831 0.985300i \(-0.445355\pi\)
\(314\) 8.42175 2.25660i 0.475267 0.127347i
\(315\) 27.9772 + 15.1367i 1.57634 + 0.852855i
\(316\) −0.993700 + 0.573713i −0.0559000 + 0.0322739i
\(317\) 3.68425 13.7498i 0.206928 0.772266i −0.781925 0.623372i \(-0.785762\pi\)
0.988853 0.148894i \(-0.0475712\pi\)
\(318\) −10.3000 1.91047i −0.577593 0.107134i
\(319\) 3.27518 + 3.27518i 0.183375 + 0.183375i
\(320\) −3.87106 1.03725i −0.216399 0.0579839i
\(321\) −3.39419 1.61953i −0.189445 0.0903931i
\(322\) 2.03609 15.6792i 0.113467 0.873767i
\(323\) −10.2017 38.0734i −0.567640 2.11846i
\(324\) −8.80228 1.87612i −0.489016 0.104229i
\(325\) 38.9971 8.34974i 2.16317 0.463160i
\(326\) 5.81030 + 3.35458i 0.321803 + 0.185793i
\(327\) 30.8879 + 5.72918i 1.70810 + 0.316825i
\(328\) −1.11622 + 1.93334i −0.0616327 + 0.106751i
\(329\) 3.15168 + 7.57105i 0.173758 + 0.417406i
\(330\) 2.06234 11.1188i 0.113528 0.612067i
\(331\) 4.03171 + 15.0466i 0.221603 + 0.827033i 0.983737 + 0.179614i \(0.0574850\pi\)
−0.762134 + 0.647419i \(0.775848\pi\)
\(332\) 0.681245 0.681245i 0.0373882 0.0373882i
\(333\) −2.48649 + 23.5940i −0.136259 + 1.29294i
\(334\) −2.50880 + 4.34536i −0.137275 + 0.237768i
\(335\) 21.3215 36.9300i 1.16492 2.01770i
\(336\) −4.48088 + 0.960048i −0.244452 + 0.0523749i
\(337\) 34.7050i 1.89050i −0.326347 0.945250i \(-0.605818\pi\)
0.326347 0.945250i \(-0.394182\pi\)
\(338\) −10.0785 + 8.21118i −0.548199 + 0.446629i
\(339\) 1.87176 + 23.8254i 0.101660 + 1.29402i
\(340\) −22.7882 6.10608i −1.23586 0.331149i
\(341\) 11.9843i 0.648989i
\(342\) −19.8408 + 3.13679i −1.07287 + 0.169618i
\(343\) 17.0728 7.17780i 0.921842 0.387565i
\(344\) 1.44633 5.39779i 0.0779811 0.291029i
\(345\) −31.5389 26.9444i −1.69800 1.45064i
\(346\) 1.57232 0.421302i 0.0845284 0.0226493i
\(347\) 5.43458i 0.291744i −0.989303 0.145872i \(-0.953401\pi\)
0.989303 0.145872i \(-0.0465987\pi\)
\(348\) −2.78867 4.05875i −0.149488 0.217572i
\(349\) 28.2484 7.56913i 1.51210 0.405166i 0.594969 0.803749i \(-0.297164\pi\)
0.917133 + 0.398582i \(0.130498\pi\)
\(350\) 17.7742 23.2486i 0.950073 1.24269i
\(351\) −10.5951 + 15.4513i −0.565525 + 0.824731i
\(352\) 0.814562 + 1.41086i 0.0434163 + 0.0751993i
\(353\) −8.91150 + 33.2582i −0.474311 + 1.77015i 0.149692 + 0.988733i \(0.452172\pi\)
−0.624003 + 0.781422i \(0.714495\pi\)
\(354\) −2.67022 + 5.59622i −0.141921 + 0.297436i
\(355\) −18.4746 10.6663i −0.980528 0.566108i
\(356\) −7.35319 7.35319i −0.389718 0.389718i
\(357\) −26.3781 + 5.65162i −1.39608 + 0.299115i
\(358\) −4.09013 + 15.2646i −0.216170 + 0.806757i
\(359\) −29.8962 8.01066i −1.57786 0.422787i −0.639598 0.768710i \(-0.720899\pi\)
−0.938263 + 0.345923i \(0.887566\pi\)
\(360\) −4.31174 + 11.2231i −0.227249 + 0.591509i
\(361\) −22.3719 + 12.9164i −1.17747 + 0.679812i
\(362\) −4.53557 + 4.53557i −0.238384 + 0.238384i
\(363\) 11.9144 8.18609i 0.625343 0.429658i
\(364\) −1.70792 + 9.38526i −0.0895193 + 0.491921i
\(365\) 8.58810i 0.449522i
\(366\) 1.29139 6.96228i 0.0675019 0.363924i
\(367\) −7.58574 13.1389i −0.395972 0.685844i 0.597252 0.802053i \(-0.296259\pi\)
−0.993225 + 0.116209i \(0.962926\pi\)
\(368\) 5.97593 0.311517
\(369\) 5.41713 + 3.93808i 0.282004 + 0.205008i
\(370\) 30.6132 + 8.20279i 1.59151 + 0.426443i
\(371\) 2.11662 + 15.8612i 0.109890 + 0.823472i
\(372\) −2.32370 + 12.5278i −0.120478 + 0.649537i
\(373\) 11.7793 20.4023i 0.609909 1.05639i −0.381346 0.924432i \(-0.624539\pi\)
0.991255 0.131961i \(-0.0421272\pi\)
\(374\) 4.79517 + 8.30549i 0.247953 + 0.429466i
\(375\) −14.0383 39.6606i −0.724936 2.04807i
\(376\) −2.68436 + 1.54981i −0.138435 + 0.0799256i
\(377\) −10.0239 + 2.14622i −0.516255 + 0.110536i
\(378\) 1.45541 + 13.6705i 0.0748582 + 0.703133i
\(379\) −5.19815 19.3998i −0.267011 0.996499i −0.961008 0.276521i \(-0.910818\pi\)
0.693997 0.719978i \(-0.255848\pi\)
\(380\) 26.8339i 1.37655i
\(381\) 20.6838 14.2113i 1.05966 0.728070i
\(382\) −5.40701 20.1792i −0.276647 1.03246i
\(383\) −13.4463 + 3.60292i −0.687073 + 0.184101i −0.585433 0.810720i \(-0.699076\pi\)
−0.101640 + 0.994821i \(0.532409\pi\)
\(384\) −0.577943 1.63278i −0.0294930 0.0833226i
\(385\) −17.1221 + 2.28489i −0.872622 + 0.116449i
\(386\) −2.76991 + 1.59921i −0.140985 + 0.0813977i
\(387\) −15.6494 6.01227i −0.795505 0.305621i
\(388\) 1.38194 5.15747i 0.0701574 0.261831i
\(389\) −11.2945 + 19.5627i −0.572656 + 0.991870i 0.423636 + 0.905833i \(0.360754\pi\)
−0.996292 + 0.0860370i \(0.972580\pi\)
\(390\) 18.1776 + 17.2034i 0.920456 + 0.871126i
\(391\) 35.1792 1.77909
\(392\) 3.52136 + 6.04980i 0.177855 + 0.305561i
\(393\) −0.865027 11.0109i −0.0436349 0.555424i
\(394\) −15.6584 9.04039i −0.788860 0.455448i
\(395\) 4.44176 1.19017i 0.223489 0.0598837i
\(396\) 4.46539 1.98663i 0.224394 0.0998318i
\(397\) −31.4639 + 8.43072i −1.57913 + 0.423126i −0.938656 0.344856i \(-0.887928\pi\)
−0.640471 + 0.767982i \(0.721261\pi\)
\(398\) −1.20247 + 1.20247i −0.0602744 + 0.0602744i
\(399\) 13.9745 + 27.3167i 0.699599 + 1.36755i
\(400\) 9.57911 + 5.53050i 0.478955 + 0.276525i
\(401\) 6.96710 6.96710i 0.347921 0.347921i −0.511414 0.859334i \(-0.670878\pi\)
0.859334 + 0.511414i \(0.170878\pi\)
\(402\) 18.3733 1.44343i 0.916376 0.0719916i
\(403\) 22.2660 + 14.4127i 1.10915 + 0.717946i
\(404\) 1.95400 1.12814i 0.0972150 0.0561271i
\(405\) 32.1282 + 16.3927i 1.59646 + 0.814561i
\(406\) −4.56870 + 5.97583i −0.226741 + 0.296576i
\(407\) −6.44174 11.1574i −0.319305 0.553053i
\(408\) −3.40224 9.61189i −0.168436 0.475859i
\(409\) 10.5643 10.5643i 0.522371 0.522371i −0.395916 0.918287i \(-0.629573\pi\)
0.918287 + 0.395916i \(0.129573\pi\)
\(410\) 6.32630 6.32630i 0.312433 0.312433i
\(411\) 9.25222 + 26.1391i 0.456379 + 1.28935i
\(412\) 0.605216 + 1.04826i 0.0298169 + 0.0516443i
\(413\) 9.39275 + 1.21973i 0.462187 + 0.0600192i
\(414\) 1.87894 17.8291i 0.0923450 0.876251i
\(415\) −3.34376 + 1.93052i −0.164139 + 0.0947656i
\(416\) −3.60089 0.183345i −0.176548 0.00898921i
\(417\) −1.83713 + 0.144327i −0.0899645 + 0.00706772i
\(418\) 7.71325 7.71325i 0.377267 0.377267i
\(419\) 5.80464 + 3.35131i 0.283575 + 0.163722i 0.635041 0.772478i \(-0.280983\pi\)
−0.351466 + 0.936201i \(0.614317\pi\)
\(420\) 18.3416 + 0.931382i 0.894977 + 0.0454468i
\(421\) 5.14250 5.14250i 0.250630 0.250630i −0.570599 0.821229i \(-0.693289\pi\)
0.821229 + 0.570599i \(0.193289\pi\)
\(422\) 6.07840 1.62870i 0.295892 0.0792840i
\(423\) 3.77983 + 8.49601i 0.183781 + 0.413090i
\(424\) −5.84203 + 1.56537i −0.283714 + 0.0760209i
\(425\) 56.3904 + 32.5570i 2.73534 + 1.57925i
\(426\) −0.722088 9.19140i −0.0349853 0.445325i
\(427\) −10.7214 + 1.43074i −0.518846 + 0.0692382i
\(428\) −2.17128 −0.104953
\(429\) −0.280028 10.1700i −0.0135199 0.491013i
\(430\) −11.1977 + 19.3950i −0.540001 + 0.935309i
\(431\) −3.47149 + 12.9558i −0.167216 + 0.624058i 0.830531 + 0.556972i \(0.188037\pi\)
−0.997747 + 0.0670861i \(0.978630\pi\)
\(432\) −5.05309 + 1.21090i −0.243117 + 0.0582596i
\(433\) −19.8711 + 11.4726i −0.954946 + 0.551338i −0.894614 0.446840i \(-0.852549\pi\)
−0.0603318 + 0.998178i \(0.519216\pi\)
\(434\) 19.2920 2.57445i 0.926043 0.123577i
\(435\) 6.58518 + 18.6042i 0.315735 + 0.892004i
\(436\) 17.5193 4.69427i 0.839021 0.224815i
\(437\) −10.3562 38.6498i −0.495404 1.84887i
\(438\) 3.05919 2.10190i 0.146174 0.100433i
\(439\) 29.2721i 1.39708i 0.715570 + 0.698541i \(0.246167\pi\)
−0.715570 + 0.698541i \(0.753833\pi\)
\(440\) −1.68981 6.30644i −0.0805583 0.300648i
\(441\) 19.1566 8.60372i 0.912220 0.409701i
\(442\) −21.1977 1.07932i −1.00827 0.0513378i
\(443\) 1.83898 1.06174i 0.0873727 0.0504447i −0.455677 0.890145i \(-0.650603\pi\)
0.543050 + 0.839701i \(0.317269\pi\)
\(444\) 4.57050 + 12.9124i 0.216906 + 0.612796i
\(445\) 20.8376 + 36.0917i 0.987795 + 1.71091i
\(446\) 3.00847 5.21081i 0.142455 0.246739i
\(447\) −2.09050 + 11.2706i −0.0988774 + 0.533080i
\(448\) −2.09617 + 1.61433i −0.0990348 + 0.0762699i
\(449\) 0.156551 + 0.0419478i 0.00738811 + 0.00197964i 0.262511 0.964929i \(-0.415449\pi\)
−0.255123 + 0.966909i \(0.582116\pi\)
\(450\) 19.5120 26.8402i 0.919803 1.26526i
\(451\) −3.63691 −0.171255
\(452\) 6.89900 + 11.9494i 0.324502 + 0.562054i
\(453\) −5.99921 + 32.3436i −0.281867 + 1.51964i
\(454\) 16.1187i 0.756488i
\(455\) 16.3463 34.5594i 0.766326 1.62017i
\(456\) −9.55860 + 6.56748i −0.447622 + 0.307550i
\(457\) −1.06817 + 1.06817i −0.0499671 + 0.0499671i −0.731649 0.681682i \(-0.761249\pi\)
0.681682 + 0.731649i \(0.261249\pi\)
\(458\) 15.0246 8.67447i 0.702054 0.405331i
\(459\) −29.7466 + 7.12835i −1.38845 + 0.332723i
\(460\) −23.1332 6.19852i −1.07859 0.289008i
\(461\) 3.45441 12.8920i 0.160888 0.600442i −0.837641 0.546221i \(-0.816066\pi\)
0.998529 0.0542207i \(-0.0172674\pi\)
\(462\) −5.00445 5.53989i −0.232828 0.257739i
\(463\) 7.79325 + 7.79325i 0.362183 + 0.362183i 0.864616 0.502433i \(-0.167562\pi\)
−0.502433 + 0.864616i \(0.667562\pi\)
\(464\) −2.46222 1.42156i −0.114306 0.0659944i
\(465\) 21.9897 46.0857i 1.01975 2.13717i
\(466\) 3.36992 12.5767i 0.156108 0.582604i
\(467\) −4.07972 7.06628i −0.188787 0.326988i 0.756059 0.654503i \(-0.227122\pi\)
−0.944846 + 0.327515i \(0.893789\pi\)
\(468\) −1.67919 + 10.6855i −0.0776205 + 0.493938i
\(469\) −10.8192 25.9901i −0.499584 1.20011i
\(470\) 11.9989 3.21508i 0.553466 0.148301i
\(471\) −8.55183 12.4467i −0.394048 0.573514i
\(472\) 3.57993i 0.164780i
\(473\) 8.79367 2.35626i 0.404333 0.108341i
\(474\) 1.51105 + 1.29092i 0.0694049 + 0.0592941i
\(475\) 19.1685 71.5379i 0.879513 3.28239i
\(476\) −12.3398 + 9.50326i −0.565593 + 0.435581i
\(477\) 2.83340 + 17.9217i 0.129732 + 0.820580i
\(478\) 21.3769i 0.977756i
\(479\) −1.35591 0.363316i −0.0619533 0.0166003i 0.227709 0.973729i \(-0.426876\pi\)
−0.289663 + 0.957129i \(0.593543\pi\)
\(480\) 0.543650 + 6.92008i 0.0248141 + 0.315857i
\(481\) 28.4766 + 1.44993i 1.29842 + 0.0661111i
\(482\) 4.05726i 0.184803i
\(483\) −26.7775 + 5.73718i −1.21842 + 0.261051i
\(484\) 4.17298 7.22781i 0.189681 0.328537i
\(485\) −10.6992 + 18.5315i −0.485824 + 0.841471i
\(486\) 2.02392 + 15.4565i 0.0918067 + 0.701122i
\(487\) −24.9806 + 24.9806i −1.13198 + 1.13198i −0.142130 + 0.989848i \(0.545395\pi\)
−0.989848 + 0.142130i \(0.954605\pi\)
\(488\) −1.05811 3.94893i −0.0478985 0.178760i
\(489\) 2.11928 11.4257i 0.0958372 0.516689i
\(490\) −7.35625 27.0717i −0.332321 1.22297i
\(491\) −14.6438 + 25.3639i −0.660867 + 1.14466i 0.319521 + 0.947579i \(0.396478\pi\)
−0.980388 + 0.197076i \(0.936855\pi\)
\(492\) 3.80184 + 0.705178i 0.171400 + 0.0317919i
\(493\) −14.4946 8.36848i −0.652805 0.376897i
\(494\) 5.05448 + 23.6068i 0.227412 + 1.06212i
\(495\) −19.3464 + 3.05864i −0.869558 + 0.137476i
\(496\) 1.90395 + 7.10565i 0.0854900 + 0.319053i
\(497\) −13.0018 + 5.41240i −0.583211 + 0.242779i
\(498\) −1.50605 0.718605i −0.0674876 0.0322015i
\(499\) 21.8644 + 5.85855i 0.978785 + 0.262265i 0.712533 0.701639i \(-0.247548\pi\)
0.266252 + 0.963903i \(0.414215\pi\)
\(500\) −17.1758 17.1758i −0.768123 0.768123i
\(501\) 8.54498 + 1.58495i 0.381762 + 0.0708104i
\(502\) −0.200880 + 0.749696i −0.00896573 + 0.0334606i
\(503\) −14.3824 + 8.30369i −0.641280 + 0.370243i −0.785107 0.619360i \(-0.787392\pi\)
0.143827 + 0.989603i \(0.454059\pi\)
\(504\) 4.15724 + 6.76146i 0.185178 + 0.301179i
\(505\) −8.73421 + 2.34032i −0.388667 + 0.104143i
\(506\) 4.86777 + 8.43123i 0.216399 + 0.374814i
\(507\) 19.2319 + 11.7104i 0.854118 + 0.520079i
\(508\) 7.24444 12.5477i 0.321420 0.556716i
\(509\) −15.8260 15.8260i −0.701475 0.701475i 0.263252 0.964727i \(-0.415205\pi\)
−0.964727 + 0.263252i \(0.915205\pi\)
\(510\) 3.20037 + 40.7372i 0.141715 + 1.80387i
\(511\) −4.50415 3.44356i −0.199252 0.152334i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 16.5885 + 30.5828i 0.732401 + 1.35026i
\(514\) −5.56559 5.56559i −0.245488 0.245488i
\(515\) −1.25552 4.68566i −0.0553247 0.206475i
\(516\) −9.64932 + 0.758063i −0.424788 + 0.0333719i
\(517\) −4.37315 2.52484i −0.192331 0.111042i
\(518\) 16.5770 12.7665i 0.728351 0.560927i
\(519\) −1.59660 2.32377i −0.0700832 0.102002i
\(520\) 13.7491 + 4.44475i 0.602937 + 0.194915i
\(521\) −2.07162 1.19605i −0.0907594 0.0524000i 0.453933 0.891036i \(-0.350020\pi\)
−0.544693 + 0.838636i \(0.683354\pi\)
\(522\) −5.01537 + 6.89902i −0.219517 + 0.301962i
\(523\) −2.75163 −0.120320 −0.0601602 0.998189i \(-0.519161\pi\)
−0.0601602 + 0.998189i \(0.519161\pi\)
\(524\) −3.18836 5.52239i −0.139284 0.241247i
\(525\) −48.2324 15.5851i −2.10503 0.680191i
\(526\) 5.17003 + 1.38530i 0.225424 + 0.0604021i
\(527\) 11.2082 + 41.8296i 0.488237 + 1.82213i
\(528\) 1.83286 2.14540i 0.0797652 0.0933666i
\(529\) 12.7118 0.552686
\(530\) 24.2385 1.05285
\(531\) 10.6807 + 1.12560i 0.463501 + 0.0488467i
\(532\) 14.0734 + 10.7596i 0.610161 + 0.466486i
\(533\) 4.37383 6.75709i 0.189452 0.292682i
\(534\) −7.75644 + 16.2559i −0.335654 + 0.703461i
\(535\) 8.40516 + 2.25215i 0.363387 + 0.0973691i
\(536\) 9.21494 5.32025i 0.398025 0.229800i
\(537\) 27.2876 2.14375i 1.17755 0.0925096i
\(538\) −14.8069 + 14.8069i −0.638369 + 0.638369i
\(539\) −5.66707 + 9.89609i −0.244098 + 0.426255i
\(540\) 20.8168 + 0.553830i 0.895814 + 0.0238330i
\(541\) 2.92973 10.9339i 0.125959 0.470085i −0.873913 0.486082i \(-0.838426\pi\)
0.999872 + 0.0159971i \(0.00509224\pi\)
\(542\) 7.93971i 0.341040i
\(543\) 10.0269 + 4.78430i 0.430295 + 0.205314i
\(544\) −4.16260 4.16260i −0.178470 0.178470i
\(545\) −72.6873 −3.11358
\(546\) 16.3112 2.63548i 0.698054 0.112788i
\(547\) −3.12274 −0.133519 −0.0667593 0.997769i \(-0.521266\pi\)
−0.0667593 + 0.997769i \(0.521266\pi\)
\(548\) 11.3200 + 11.3200i 0.483566 + 0.483566i
\(549\) −12.1142 + 1.91524i −0.517023 + 0.0817405i
\(550\) 18.0198i 0.768365i
\(551\) −4.92709 + 18.3882i −0.209901 + 0.783362i
\(552\) −3.45375 9.75741i −0.147001 0.415303i
\(553\) 1.15680 2.80676i 0.0491923 0.119356i
\(554\) 0.799438 0.799438i 0.0339649 0.0339649i
\(555\) −4.29930 54.7255i −0.182495 2.32297i
\(556\) −0.921393 + 0.531967i −0.0390758 + 0.0225604i
\(557\) 4.77392 + 1.27917i 0.202277 + 0.0542001i 0.358535 0.933516i \(-0.383276\pi\)
−0.156258 + 0.987716i \(0.549943\pi\)
\(558\) 21.7982 3.44626i 0.922791 0.145892i
\(559\) −6.19774 + 19.1717i −0.262136 + 0.810875i
\(560\) 9.78887 4.07492i 0.413655 0.172197i
\(561\) 10.7897 12.6296i 0.455543 0.533221i
\(562\) −0.787752 −0.0332293
\(563\) 39.9101 1.68201 0.841006 0.541026i \(-0.181964\pi\)
0.841006 + 0.541026i \(0.181964\pi\)
\(564\) 4.08192 + 3.48727i 0.171880 + 0.146841i
\(565\) −14.3120 53.4129i −0.602108 2.24710i
\(566\) 3.37602 + 0.904601i 0.141905 + 0.0380232i
\(567\) 21.4798 10.2771i 0.902066 0.431598i
\(568\) −2.66150 4.60986i −0.111674 0.193425i
\(569\) −4.84910 −0.203285 −0.101642 0.994821i \(-0.532410\pi\)
−0.101642 + 0.994821i \(0.532410\pi\)
\(570\) 43.8140 15.5085i 1.83517 0.649579i
\(571\) −28.5983 16.5112i −1.19680 0.690973i −0.236960 0.971519i \(-0.576151\pi\)
−0.959841 + 0.280546i \(0.909484\pi\)
\(572\) −2.67447 5.22970i −0.111825 0.218665i
\(573\) −29.8234 + 20.4909i −1.24589 + 0.856020i
\(574\) −0.781271 5.85456i −0.0326096 0.244365i
\(575\) 57.2441 + 33.0499i 2.38724 + 1.37828i
\(576\) −2.33196 + 1.88731i −0.0971652 + 0.0786379i
\(577\) 5.90704 + 22.0454i 0.245913 + 0.917761i 0.972922 + 0.231133i \(0.0742433\pi\)
−0.727009 + 0.686628i \(0.759090\pi\)
\(578\) −12.4837 12.4837i −0.519251 0.519251i
\(579\) 4.21202 + 3.59842i 0.175045 + 0.149545i
\(580\) 8.05689 + 8.05689i 0.334544 + 0.334544i
\(581\) −0.328253 + 2.52776i −0.0136182 + 0.104869i
\(582\) −9.21972 + 0.724313i −0.382170 + 0.0300237i
\(583\) −6.96722 6.96722i −0.288553 0.288553i
\(584\) 1.07147 1.85584i 0.0443378 0.0767954i
\(585\) 17.5838 39.6226i 0.727000 1.63819i
\(586\) 16.9530 + 29.3635i 0.700324 + 1.21300i
\(587\) −21.3929 + 5.73221i −0.882979 + 0.236593i −0.671692 0.740831i \(-0.734432\pi\)
−0.211287 + 0.977424i \(0.567765\pi\)
\(588\) 7.84287 9.24605i 0.323434 0.381301i
\(589\) 42.6569 24.6279i 1.75765 1.01478i
\(590\) 3.71328 13.8581i 0.152873 0.570531i
\(591\) −5.71134 + 30.7916i −0.234933 + 1.26660i
\(592\) 5.59196 + 5.59196i 0.229828 + 0.229828i
\(593\) 37.7046 + 10.1029i 1.54834 + 0.414877i 0.928951 0.370204i \(-0.120712\pi\)
0.619393 + 0.785081i \(0.287379\pi\)
\(594\) −5.82447 6.14286i −0.238981 0.252045i
\(595\) 57.6253 23.9883i 2.36241 0.983424i
\(596\) 1.71288 + 6.39255i 0.0701622 + 0.261849i
\(597\) 2.65833 + 1.26841i 0.108798 + 0.0519127i
\(598\) −21.5187 1.09566i −0.879963 0.0448047i
\(599\) 1.25903 + 0.726901i 0.0514426 + 0.0297004i 0.525501 0.850793i \(-0.323878\pi\)
−0.474058 + 0.880494i \(0.657211\pi\)
\(600\) 3.49394 18.8369i 0.142639 0.769014i
\(601\) −10.9581 + 18.9800i −0.446992 + 0.774212i −0.998189 0.0601629i \(-0.980838\pi\)
0.551197 + 0.834375i \(0.314171\pi\)
\(602\) 5.68205 + 13.6496i 0.231583 + 0.556314i
\(603\) −12.9755 29.1654i −0.528403 1.18771i
\(604\) 4.91552 + 18.3450i 0.200010 + 0.746446i
\(605\) −23.6509 + 23.6509i −0.961545 + 0.961545i
\(606\) −2.97131 2.53846i −0.120701 0.103118i
\(607\) 20.5289 35.5572i 0.833244 1.44322i −0.0622085 0.998063i \(-0.519814\pi\)
0.895452 0.445157i \(-0.146852\pi\)
\(608\) −3.34787 + 5.79867i −0.135774 + 0.235167i
\(609\) 12.3977 + 4.00601i 0.502380 + 0.162332i
\(610\) 16.3841i 0.663372i
\(611\) 9.95022 5.08854i 0.402543 0.205860i
\(612\) −13.7278 + 11.1102i −0.554915 + 0.449105i
\(613\) −18.0909 4.84743i −0.730683 0.195786i −0.125750 0.992062i \(-0.540134\pi\)
−0.604934 + 0.796276i \(0.706800\pi\)
\(614\) 1.51714i 0.0612269i
\(615\) −13.9857 6.67324i −0.563958 0.269091i
\(616\) −3.98506 1.64244i −0.160563 0.0661758i
\(617\) 6.25626 23.3487i 0.251868 0.939983i −0.717939 0.696106i \(-0.754914\pi\)
0.969806 0.243877i \(-0.0784192\pi\)
\(618\) 1.36181 1.59402i 0.0547800 0.0641210i
\(619\) 10.2088 2.73543i 0.410326 0.109946i −0.0477508 0.998859i \(-0.515205\pi\)
0.458076 + 0.888913i \(0.348539\pi\)
\(620\) 29.4813i 1.18400i
\(621\) −30.1969 + 7.23627i −1.21176 + 0.290382i
\(622\) −26.7869 + 7.17753i −1.07406 + 0.287793i
\(623\) 27.2840 + 3.54308i 1.09311 + 0.141951i
\(624\) 1.78174 + 5.98543i 0.0713268 + 0.239609i
\(625\) 21.0204 + 36.4084i 0.840815 + 1.45633i
\(626\) −7.03220 + 26.2445i −0.281063 + 1.04894i
\(627\) −17.0519 8.13625i −0.680987 0.324931i
\(628\) −7.55074 4.35942i −0.301307 0.173960i
\(629\) 32.9188 + 32.9188i 1.31256 + 1.31256i
\(630\) −9.07963 30.4861i −0.361741 1.21460i
\(631\) −11.3344 + 42.3005i −0.451214 + 1.68395i 0.247771 + 0.968819i \(0.420302\pi\)
−0.698985 + 0.715136i \(0.746365\pi\)
\(632\) 1.10833 + 0.296976i 0.0440869 + 0.0118131i
\(633\) −6.17229 8.98342i −0.245326 0.357059i
\(634\) −12.3277 + 7.11742i −0.489597 + 0.282669i
\(635\) −41.0588 + 41.0588i −1.62937 + 1.62937i
\(636\) 5.93226 + 8.63408i 0.235230 + 0.342363i
\(637\) −11.5708 22.4303i −0.458452 0.888719i
\(638\) 4.63181i 0.183375i
\(639\) −14.5902 + 6.49112i −0.577181 + 0.256785i
\(640\) 2.00381 + 3.47070i 0.0792075 + 0.137191i
\(641\) −37.2486 −1.47123 −0.735615 0.677399i \(-0.763107\pi\)
−0.735615 + 0.677399i \(0.763107\pi\)
\(642\) 1.25487 + 3.54523i 0.0495260 + 0.139919i
\(643\) 4.46902 + 1.19747i 0.176241 + 0.0472236i 0.345860 0.938286i \(-0.387587\pi\)
−0.169619 + 0.985510i \(0.554254\pi\)
\(644\) −12.5266 + 9.64713i −0.493617 + 0.380150i
\(645\) 38.1394 + 7.07423i 1.50174 + 0.278547i
\(646\) −19.7083 + 34.1357i −0.775411 + 1.34305i
\(647\) 13.0140 + 22.5410i 0.511635 + 0.886177i 0.999909 + 0.0134870i \(0.00429317\pi\)
−0.488274 + 0.872690i \(0.662373\pi\)
\(648\) 4.89754 + 7.55077i 0.192393 + 0.296622i
\(649\) −5.05080 + 2.91608i −0.198261 + 0.114466i
\(650\) −33.4793 21.6710i −1.31317 0.850006i
\(651\) −15.3532 30.0117i −0.601738 1.17625i
\(652\) −1.73646 6.48055i −0.0680049 0.253798i
\(653\) 18.5565i 0.726172i 0.931756 + 0.363086i \(0.118277\pi\)
−0.931756 + 0.363086i \(0.881723\pi\)
\(654\) −17.7899 25.8922i −0.695639 1.01246i
\(655\) 6.61423 + 24.6846i 0.258439 + 0.964509i
\(656\) 2.15636 0.577796i 0.0841918 0.0225591i
\(657\) −5.19998 3.78023i −0.202871 0.147481i
\(658\) 3.12496 7.58212i 0.121824 0.295582i
\(659\) −5.91854 + 3.41707i −0.230554 + 0.133110i −0.610827 0.791764i \(-0.709163\pi\)
0.380274 + 0.924874i \(0.375830\pi\)
\(660\) −9.32044 + 6.40385i −0.362798 + 0.249269i
\(661\) −8.15436 + 30.4325i −0.317168 + 1.18369i 0.604786 + 0.796388i \(0.293259\pi\)
−0.921954 + 0.387299i \(0.873408\pi\)
\(662\) 7.78867 13.4904i 0.302715 0.524318i
\(663\) 10.4888 + 35.2351i 0.407351 + 1.36842i
\(664\) −0.963426 −0.0373882
\(665\) −43.3188 56.2486i −1.67983 2.18123i
\(666\) 18.4417 14.9253i 0.714601 0.578342i
\(667\) −14.7141 8.49517i −0.569731 0.328934i
\(668\) 4.84662 1.29865i 0.187522 0.0502462i
\(669\) −10.2469 1.90062i −0.396166 0.0734823i
\(670\) −41.1900 + 11.0368i −1.59131 + 0.426390i
\(671\) 4.70951 4.70951i 0.181808 0.181808i
\(672\) 3.84732 + 2.48961i 0.148414 + 0.0960386i
\(673\) 26.3309 + 15.2022i 1.01498 + 0.586001i 0.912647 0.408749i \(-0.134035\pi\)
0.102336 + 0.994750i \(0.467368\pi\)
\(674\) −24.5401 + 24.5401i −0.945250 + 0.945250i
\(675\) −55.1010 16.3468i −2.12084 0.629187i
\(676\) 12.9328 + 1.32041i 0.497414 + 0.0507849i
\(677\) 2.15766 1.24573i 0.0829257 0.0478772i −0.457964 0.888971i \(-0.651421\pi\)
0.540889 + 0.841094i \(0.318088\pi\)
\(678\) 15.5236 18.1707i 0.596180 0.697840i
\(679\) 5.42908 + 13.0419i 0.208349 + 0.500501i
\(680\) 11.7960 + 20.4314i 0.452358 + 0.783507i
\(681\) −26.3183 + 9.31568i −1.00852 + 0.356978i
\(682\) −8.47421 + 8.47421i −0.324494 + 0.324494i
\(683\) 32.4099 32.4099i 1.24013 1.24013i 0.280183 0.959946i \(-0.409605\pi\)
0.959946 0.280183i \(-0.0903953\pi\)
\(684\) 16.2476 + 11.8115i 0.621242 + 0.451624i
\(685\) −32.0788 55.5621i −1.22567 2.12292i
\(686\) −17.1477 6.99679i −0.654704 0.267139i
\(687\) −22.8469 19.5186i −0.871663 0.744681i
\(688\) −4.83953 + 2.79410i −0.184505 + 0.106524i
\(689\) 21.3235 4.56560i 0.812360 0.173936i
\(690\) 3.24882 + 41.3539i 0.123680 + 1.57432i
\(691\) 26.8524 26.8524i 1.02151 1.02151i 0.0217482 0.999763i \(-0.493077\pi\)
0.999763 0.0217482i \(-0.00692322\pi\)
\(692\) −1.40970 0.813892i −0.0535889 0.0309395i
\(693\) −6.15316 + 11.3729i −0.233739 + 0.432022i
\(694\) −3.84283 + 3.84283i −0.145872 + 0.145872i
\(695\) 4.11855 1.10356i 0.156226 0.0418605i
\(696\) −0.898084 + 4.84186i −0.0340418 + 0.183530i
\(697\) 12.6941 3.40137i 0.480823 0.128836i
\(698\) −25.3268 14.6224i −0.958634 0.553468i
\(699\) −22.4826 + 1.76626i −0.850371 + 0.0668063i
\(700\) −29.0075 + 3.87096i −1.09638 + 0.146308i
\(701\) −32.7280 −1.23612 −0.618059 0.786132i \(-0.712081\pi\)
−0.618059 + 0.786132i \(0.712081\pi\)
\(702\) 18.4176 3.43386i 0.695128 0.129603i
\(703\) 26.4757 45.8572i 0.998549 1.72954i
\(704\) 0.421648 1.57361i 0.0158915 0.0593078i
\(705\) −12.1842 17.7334i −0.458883 0.667879i
\(706\) 29.8185 17.2157i 1.12223 0.647921i
\(707\) −2.27472 + 5.51918i −0.0855498 + 0.207570i
\(708\) 5.84526 2.06900i 0.219678 0.0777577i
\(709\) 16.5669 4.43907i 0.622181 0.166713i 0.0660620 0.997816i \(-0.478956\pi\)
0.556119 + 0.831103i \(0.312290\pi\)
\(710\) 5.52128 + 20.6057i 0.207210 + 0.773318i
\(711\) 1.23450 3.21330i 0.0462973 0.120508i
\(712\) 10.3990i 0.389718i
\(713\) 11.3779 + 42.4629i 0.426106 + 1.59025i
\(714\) 22.6484 + 14.6558i 0.847597 + 0.548481i
\(715\) 4.92855 + 23.0186i 0.184317 + 0.860847i
\(716\) 13.6858 7.90152i 0.511464 0.295294i
\(717\) −34.9038 + 12.3546i −1.30351 + 0.461392i
\(718\) 15.4754 + 26.8042i 0.577537 + 1.00032i
\(719\) 8.79359 15.2310i 0.327946 0.568019i −0.654158 0.756358i \(-0.726977\pi\)
0.982104 + 0.188339i \(0.0603104\pi\)
\(720\) 10.9848 4.88707i 0.409379 0.182130i
\(721\) −2.96088 1.22033i −0.110269 0.0454473i
\(722\) 24.9526 + 6.68603i 0.928640 + 0.248828i
\(723\) −6.62463 + 2.34487i −0.246373 + 0.0872065i
\(724\) 6.41426 0.238384
\(725\) −15.7239 27.2346i −0.583972 1.01147i
\(726\) −14.2132 2.63631i −0.527501 0.0978426i
\(727\) 33.1927i 1.23105i 0.788117 + 0.615525i \(0.211056\pi\)
−0.788117 + 0.615525i \(0.788944\pi\)
\(728\) 7.84406 5.42870i 0.290720 0.201201i
\(729\) 24.0674 12.2376i 0.891386 0.453244i
\(730\) −6.07271 + 6.07271i −0.224761 + 0.224761i
\(731\) −28.4894 + 16.4484i −1.05372 + 0.608364i
\(732\) −5.83622 + 4.00993i −0.215713 + 0.148211i
\(733\) 4.47930 + 1.20022i 0.165447 + 0.0443313i 0.340591 0.940211i \(-0.389373\pi\)
−0.175145 + 0.984543i \(0.556039\pi\)
\(734\) −3.92667 + 14.6545i −0.144936 + 0.540908i
\(735\) −39.9507 + 27.6570i −1.47360 + 1.02014i
\(736\) −4.22562 4.22562i −0.155759 0.155759i
\(737\) 15.0123 + 8.66735i 0.552985 + 0.319266i
\(738\) −1.04584 6.61513i −0.0384979 0.243506i
\(739\) 9.25219 34.5297i 0.340347 1.27019i −0.557607 0.830105i \(-0.688280\pi\)
0.897954 0.440089i \(-0.145053\pi\)
\(740\) −15.8466 27.4471i −0.582531 1.00897i
\(741\) 35.6235 21.8962i 1.30866 0.804378i
\(742\) 9.71888 12.7122i 0.356791 0.466681i
\(743\) −47.0180 + 12.5984i −1.72492 + 0.462191i −0.979003 0.203846i \(-0.934656\pi\)
−0.745919 + 0.666037i \(0.767989\pi\)
\(744\) 10.5016 7.21540i 0.385008 0.264529i
\(745\) 26.5226i 0.971714i
\(746\) −22.7558 + 6.09741i −0.833151 + 0.223242i
\(747\) −0.302919 + 2.87436i −0.0110832 + 0.105167i
\(748\) 2.48217 9.26357i 0.0907569 0.338710i
\(749\) 4.55138 3.50516i 0.166304 0.128076i
\(750\) −18.1177 + 37.9709i −0.661564 + 1.38650i
\(751\) 1.81013i 0.0660525i −0.999454 0.0330263i \(-0.989486\pi\)
0.999454 0.0330263i \(-0.0105145\pi\)
\(752\) 2.99401 + 0.802243i 0.109180 + 0.0292548i
\(753\) 1.34019 0.105287i 0.0488392 0.00383687i
\(754\) 8.60554 + 5.57032i 0.313395 + 0.202859i
\(755\) 76.1131i 2.77004i
\(756\) 8.63735 10.6956i 0.314137 0.388996i
\(757\) −10.5511 + 18.2751i −0.383488 + 0.664221i −0.991558 0.129663i \(-0.958611\pi\)
0.608070 + 0.793883i \(0.291944\pi\)
\(758\) −10.0421 + 17.3934i −0.364744 + 0.631755i
\(759\) 10.9531 12.8208i 0.397571 0.465365i
\(760\) 18.9745 18.9745i 0.688276 0.688276i
\(761\) −4.55899 17.0144i −0.165263 0.616771i −0.998006 0.0631115i \(-0.979898\pi\)
0.832743 0.553659i \(-0.186769\pi\)
\(762\) −24.6746 4.57673i −0.893867 0.165797i
\(763\) −29.1453 + 38.1219i −1.05513 + 1.38010i
\(764\) −10.4455 + 18.0922i −0.377906 + 0.654553i
\(765\) 64.6654 28.7693i 2.33798 1.04015i
\(766\) 12.0556 + 6.96031i 0.435587 + 0.251486i
\(767\) 0.656362 12.8909i 0.0236998 0.465465i
\(768\) −0.745885 + 1.56322i −0.0269148 + 0.0564078i
\(769\) −10.5719 39.4550i −0.381234 1.42279i −0.844018 0.536314i \(-0.819816\pi\)
0.462784 0.886471i \(-0.346850\pi\)
\(770\) 13.7228 + 10.4915i 0.494535 + 0.378087i
\(771\) −5.87081 + 12.3040i −0.211432 + 0.443118i
\(772\) 3.08944 + 0.827812i 0.111191 + 0.0297936i
\(773\) 2.23708 + 2.23708i 0.0804623 + 0.0804623i 0.746193 0.665730i \(-0.231880\pi\)
−0.665730 + 0.746193i \(0.731880\pi\)
\(774\)