Properties

Label 576.2.bm.a.13.21
Level $576$
Weight $2$
Character 576.13
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 13.21
Character \(\chi\) \(=\) 576.13
Dual form 576.2.bm.a.133.21

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.15248 + 0.819623i) q^{2} +(1.33427 + 1.10441i) q^{3} +(0.656437 - 1.88920i) q^{4} +(0.128618 - 0.378896i) q^{5} +(-2.44292 - 0.179221i) q^{6} +(-1.38692 + 1.80746i) q^{7} +(0.791901 + 2.71531i) q^{8} +(0.560543 + 2.94717i) q^{9} +O(q^{10})\) \(q+(-1.15248 + 0.819623i) q^{2} +(1.33427 + 1.10441i) q^{3} +(0.656437 - 1.88920i) q^{4} +(0.128618 - 0.378896i) q^{5} +(-2.44292 - 0.179221i) q^{6} +(-1.38692 + 1.80746i) q^{7} +(0.791901 + 2.71531i) q^{8} +(0.560543 + 2.94717i) q^{9} +(0.162322 + 0.542089i) q^{10} +(-5.67195 - 0.371759i) q^{11} +(2.96232 - 1.79573i) q^{12} +(-1.49458 + 1.70424i) q^{13} +(0.116959 - 3.21982i) q^{14} +(0.590068 - 0.363501i) q^{15} +(-3.13818 - 2.48029i) q^{16} +(0.935965 + 0.935965i) q^{17} +(-3.06158 - 2.93713i) q^{18} +(0.719896 - 3.61916i) q^{19} +(-0.631382 - 0.491706i) q^{20} +(-3.84671 + 0.879914i) q^{21} +(6.84153 - 4.22041i) q^{22} +(-4.47337 + 3.43254i) q^{23} +(-1.94221 + 4.49753i) q^{24} +(3.83975 + 2.94634i) q^{25} +(0.325644 - 3.18911i) q^{26} +(-2.50697 + 4.55138i) q^{27} +(2.50424 + 3.80665i) q^{28} +(-3.89440 + 7.89705i) q^{29} +(-0.382110 + 0.902563i) q^{30} +(3.85389 + 2.22504i) q^{31} +(5.64960 + 0.286365i) q^{32} +(-7.15733 - 6.76020i) q^{33} +(-1.84582 - 0.311546i) q^{34} +(0.506459 + 0.757969i) q^{35} +(5.93576 + 0.875649i) q^{36} +(0.930003 + 4.67544i) q^{37} +(2.13668 + 4.76107i) q^{38} +(-3.87636 + 0.623283i) q^{39} +(1.13067 + 0.0491887i) q^{40} +(-5.12418 + 3.93192i) q^{41} +(3.71207 - 4.16693i) q^{42} +(0.767985 - 11.7172i) q^{43} +(-4.42561 + 10.4714i) q^{44} +(1.18876 + 0.166671i) q^{45} +(2.34210 - 7.62243i) q^{46} +(1.78780 - 6.67216i) q^{47} +(-1.44791 - 6.77522i) q^{48} +(0.468343 + 1.74788i) q^{49} +(-6.84013 - 0.248466i) q^{50} +(0.215136 + 2.28252i) q^{51} +(2.23857 + 3.94230i) q^{52} +(0.873034 - 1.30659i) q^{53} +(-0.841169 - 7.30017i) q^{54} +(-0.870372 + 2.10126i) q^{55} +(-6.00612 - 2.33457i) q^{56} +(4.95758 - 4.03387i) q^{57} +(-1.98438 - 12.2932i) q^{58} +(1.25626 - 3.70082i) q^{59} +(-0.299386 - 1.35337i) q^{60} +(3.00382 + 1.48132i) q^{61} +(-6.26524 + 0.594409i) q^{62} +(-6.10432 - 3.07431i) q^{63} +(-6.74578 + 4.30051i) q^{64} +(0.453501 + 0.785487i) q^{65} +(13.7895 + 1.92472i) q^{66} +(0.404206 + 6.16698i) q^{67} +(2.38263 - 1.15383i) q^{68} +(-9.75962 - 0.360523i) q^{69} +(-1.20493 - 0.458442i) q^{70} +(1.44186 + 3.48097i) q^{71} +(-7.55857 + 3.85591i) q^{72} +(5.52850 - 13.3470i) q^{73} +(-4.90391 - 4.62612i) q^{74} +(1.86927 + 8.17188i) q^{75} +(-6.36477 - 3.73578i) q^{76} +(8.53846 - 9.73625i) q^{77} +(3.95659 - 3.89548i) q^{78} +(-11.6139 - 3.11193i) q^{79} +(-1.34340 + 0.870035i) q^{80} +(-8.37158 + 3.30403i) q^{81} +(2.68284 - 8.73137i) q^{82} +(7.52961 - 2.55596i) q^{83} +(-0.862784 + 7.84482i) q^{84} +(0.475015 - 0.234251i) q^{85} +(8.71858 + 14.1333i) q^{86} +(-13.9178 + 6.23577i) q^{87} +(-3.48219 - 15.6955i) q^{88} +(-2.28737 + 0.947461i) q^{89} +(-1.50664 + 0.782254i) q^{90} +(-1.00750 - 5.06505i) q^{91} +(3.54828 + 10.7044i) q^{92} +(2.68475 + 7.22509i) q^{93} +(3.40824 + 9.15487i) q^{94} +(-1.27869 - 0.738254i) q^{95} +(7.22182 + 6.62158i) q^{96} +(8.69119 - 5.01786i) q^{97} +(-1.97236 - 1.63054i) q^{98} +(-2.08374 - 16.9246i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.15248 + 0.819623i −0.814929 + 0.579561i
\(3\) 1.33427 + 1.10441i 0.770340 + 0.637633i
\(4\) 0.656437 1.88920i 0.328219 0.944602i
\(5\) 0.128618 0.378896i 0.0575196 0.169447i −0.914373 0.404874i \(-0.867315\pi\)
0.971892 + 0.235427i \(0.0756487\pi\)
\(6\) −2.44292 0.179221i −0.997320 0.0731669i
\(7\) −1.38692 + 1.80746i −0.524205 + 0.683157i −0.978157 0.207869i \(-0.933347\pi\)
0.453952 + 0.891026i \(0.350014\pi\)
\(8\) 0.791901 + 2.71531i 0.279979 + 0.960006i
\(9\) 0.560543 + 2.94717i 0.186848 + 0.982389i
\(10\) 0.162322 + 0.542089i 0.0513306 + 0.171424i
\(11\) −5.67195 0.371759i −1.71016 0.112090i −0.821366 0.570401i \(-0.806788\pi\)
−0.888792 + 0.458312i \(0.848454\pi\)
\(12\) 2.96232 1.79573i 0.855149 0.518382i
\(13\) −1.49458 + 1.70424i −0.414522 + 0.472672i −0.920990 0.389587i \(-0.872618\pi\)
0.506467 + 0.862259i \(0.330951\pi\)
\(14\) 0.116959 3.21982i 0.0312587 0.860533i
\(15\) 0.590068 0.363501i 0.152355 0.0938557i
\(16\) −3.13818 2.48029i −0.784545 0.620072i
\(17\) 0.935965 + 0.935965i 0.227005 + 0.227005i 0.811440 0.584435i \(-0.198684\pi\)
−0.584435 + 0.811440i \(0.698684\pi\)
\(18\) −3.06158 2.93713i −0.721622 0.692288i
\(19\) 0.719896 3.61916i 0.165155 0.830292i −0.806013 0.591898i \(-0.798379\pi\)
0.971168 0.238395i \(-0.0766211\pi\)
\(20\) −0.631382 0.491706i −0.141181 0.109949i
\(21\) −3.84671 + 0.879914i −0.839420 + 0.192013i
\(22\) 6.84153 4.22041i 1.45862 0.899795i
\(23\) −4.47337 + 3.43254i −0.932763 + 0.715734i −0.958846 0.283926i \(-0.908363\pi\)
0.0260834 + 0.999660i \(0.491696\pi\)
\(24\) −1.94221 + 4.49753i −0.396452 + 0.918055i
\(25\) 3.83975 + 2.94634i 0.767949 + 0.589268i
\(26\) 0.325644 3.18911i 0.0638640 0.625435i
\(27\) −2.50697 + 4.55138i −0.482467 + 0.875914i
\(28\) 2.50424 + 3.80665i 0.473258 + 0.719390i
\(29\) −3.89440 + 7.89705i −0.723171 + 1.46645i 0.154907 + 0.987929i \(0.450492\pi\)
−0.878078 + 0.478517i \(0.841175\pi\)
\(30\) −0.382110 + 0.902563i −0.0697634 + 0.164785i
\(31\) 3.85389 + 2.22504i 0.692179 + 0.399630i 0.804428 0.594050i \(-0.202472\pi\)
−0.112249 + 0.993680i \(0.535805\pi\)
\(32\) 5.64960 + 0.286365i 0.998718 + 0.0506227i
\(33\) −7.15733 6.76020i −1.24593 1.17680i
\(34\) −1.84582 0.311546i −0.316556 0.0534297i
\(35\) 0.506459 + 0.757969i 0.0856071 + 0.128120i
\(36\) 5.93576 + 0.875649i 0.989293 + 0.145942i
\(37\) 0.930003 + 4.67544i 0.152892 + 0.768638i 0.978798 + 0.204830i \(0.0656641\pi\)
−0.825906 + 0.563808i \(0.809336\pi\)
\(38\) 2.13668 + 4.76107i 0.346615 + 0.772347i
\(39\) −3.87636 + 0.623283i −0.620715 + 0.0998051i
\(40\) 1.13067 + 0.0491887i 0.178775 + 0.00777742i
\(41\) −5.12418 + 3.93192i −0.800262 + 0.614063i −0.925795 0.378027i \(-0.876603\pi\)
0.125533 + 0.992089i \(0.459936\pi\)
\(42\) 3.71207 4.16693i 0.572784 0.642972i
\(43\) 0.767985 11.7172i 0.117117 1.78685i −0.385864 0.922556i \(-0.626097\pi\)
0.502981 0.864298i \(-0.332237\pi\)
\(44\) −4.42561 + 10.4714i −0.667186 + 1.57863i
\(45\) 1.18876 + 0.166671i 0.177211 + 0.0248458i
\(46\) 2.34210 7.62243i 0.345324 1.12387i
\(47\) 1.78780 6.67216i 0.260777 0.973234i −0.704007 0.710193i \(-0.748608\pi\)
0.964785 0.263041i \(-0.0847256\pi\)
\(48\) −1.44791 6.77522i −0.208988 0.977918i
\(49\) 0.468343 + 1.74788i 0.0669061 + 0.249697i
\(50\) −6.84013 0.248466i −0.967341 0.0351384i
\(51\) 0.215136 + 2.28252i 0.0301251 + 0.319617i
\(52\) 2.23857 + 3.94230i 0.310433 + 0.546698i
\(53\) 0.873034 1.30659i 0.119920 0.179474i −0.766653 0.642062i \(-0.778079\pi\)
0.886573 + 0.462588i \(0.153079\pi\)
\(54\) −0.841169 7.30017i −0.114469 0.993427i
\(55\) −0.870372 + 2.10126i −0.117361 + 0.283334i
\(56\) −6.00612 2.33457i −0.802602 0.311970i
\(57\) 4.95758 4.03387i 0.656648 0.534299i
\(58\) −1.98438 12.2932i −0.260561 1.61417i
\(59\) 1.25626 3.70082i 0.163551 0.481806i −0.833999 0.551766i \(-0.813954\pi\)
0.997550 + 0.0699604i \(0.0222873\pi\)
\(60\) −0.299386 1.35337i −0.0386505 0.174720i
\(61\) 3.00382 + 1.48132i 0.384600 + 0.189664i 0.624302 0.781183i \(-0.285383\pi\)
−0.239703 + 0.970846i \(0.577050\pi\)
\(62\) −6.26524 + 0.594409i −0.795687 + 0.0754900i
\(63\) −6.10432 3.07431i −0.769073 0.387327i
\(64\) −6.74578 + 4.30051i −0.843223 + 0.537564i
\(65\) 0.453501 + 0.785487i 0.0562499 + 0.0974277i
\(66\) 13.7895 + 1.92472i 1.69737 + 0.236916i
\(67\) 0.404206 + 6.16698i 0.0493816 + 0.753417i 0.948711 + 0.316145i \(0.102389\pi\)
−0.899329 + 0.437272i \(0.855945\pi\)
\(68\) 2.38263 1.15383i 0.288936 0.139922i
\(69\) −9.75962 0.360523i −1.17492 0.0434019i
\(70\) −1.20493 0.458442i −0.144017 0.0547943i
\(71\) 1.44186 + 3.48097i 0.171118 + 0.413115i 0.986052 0.166439i \(-0.0532269\pi\)
−0.814934 + 0.579554i \(0.803227\pi\)
\(72\) −7.55857 + 3.85591i −0.890786 + 0.454424i
\(73\) 5.52850 13.3470i 0.647063 1.56215i −0.169903 0.985461i \(-0.554345\pi\)
0.816966 0.576686i \(-0.195655\pi\)
\(74\) −4.90391 4.62612i −0.570068 0.537775i
\(75\) 1.86927 + 8.17188i 0.215845 + 0.943607i
\(76\) −6.36477 3.73578i −0.730089 0.428523i
\(77\) 8.53846 9.73625i 0.973048 1.10955i
\(78\) 3.95659 3.89548i 0.447995 0.441076i
\(79\) −11.6139 3.11193i −1.30666 0.350119i −0.462697 0.886517i \(-0.653118\pi\)
−0.843966 + 0.536397i \(0.819785\pi\)
\(80\) −1.34340 + 0.870035i −0.150196 + 0.0972728i
\(81\) −8.37158 + 3.30403i −0.930176 + 0.367114i
\(82\) 2.68284 8.73137i 0.296270 0.964218i
\(83\) 7.52961 2.55596i 0.826482 0.280553i 0.124025 0.992279i \(-0.460420\pi\)
0.702457 + 0.711726i \(0.252086\pi\)
\(84\) −0.862784 + 7.84482i −0.0941374 + 0.855940i
\(85\) 0.475015 0.234251i 0.0515226 0.0254081i
\(86\) 8.71858 + 14.1333i 0.940148 + 1.52403i
\(87\) −13.9178 + 6.23577i −1.49214 + 0.668544i
\(88\) −3.48219 15.6955i −0.371202 1.67314i
\(89\) −2.28737 + 0.947461i −0.242461 + 0.100431i −0.500605 0.865676i \(-0.666889\pi\)
0.258144 + 0.966106i \(0.416889\pi\)
\(90\) −1.50664 + 0.782254i −0.158814 + 0.0824568i
\(91\) −1.00750 5.06505i −0.105615 0.530961i
\(92\) 3.54828 + 10.7044i 0.369934 + 1.11601i
\(93\) 2.68475 + 7.22509i 0.278396 + 0.749207i
\(94\) 3.40824 + 9.15487i 0.351533 + 0.944253i
\(95\) −1.27869 0.738254i −0.131191 0.0757433i
\(96\) 7.22182 + 6.62158i 0.737074 + 0.675812i
\(97\) 8.69119 5.01786i 0.882457 0.509487i 0.0109892 0.999940i \(-0.496502\pi\)
0.871468 + 0.490453i \(0.163169\pi\)
\(98\) −1.97236 1.63054i −0.199238 0.164709i
\(99\) −2.08374 16.9246i −0.209424 1.70098i
\(100\) 8.08679 5.31998i 0.808679 0.531998i
\(101\) −5.11688 + 4.48738i −0.509148 + 0.446511i −0.874972 0.484173i \(-0.839121\pi\)
0.365824 + 0.930684i \(0.380787\pi\)
\(102\) −2.11875 2.45424i −0.209787 0.243006i
\(103\) −2.47354 + 18.7884i −0.243725 + 1.85127i 0.233325 + 0.972399i \(0.425039\pi\)
−0.477050 + 0.878876i \(0.658294\pi\)
\(104\) −5.81111 2.70866i −0.569826 0.265606i
\(105\) −0.161359 + 1.57067i −0.0157470 + 0.153282i
\(106\) 0.0647516 + 2.22138i 0.00628923 + 0.215759i
\(107\) 6.91572 + 4.62094i 0.668568 + 0.446723i 0.842977 0.537950i \(-0.180801\pi\)
−0.174408 + 0.984673i \(0.555801\pi\)
\(108\) 6.95282 + 7.72388i 0.669035 + 0.743231i
\(109\) −0.171640 + 0.862893i −0.0164401 + 0.0826502i −0.988134 0.153592i \(-0.950916\pi\)
0.971694 + 0.236242i \(0.0759159\pi\)
\(110\) −0.719154 3.13505i −0.0685687 0.298915i
\(111\) −3.92274 + 7.26540i −0.372330 + 0.689601i
\(112\) 8.83542 2.23220i 0.834869 0.210923i
\(113\) 3.87299 + 14.4542i 0.364340 + 1.35974i 0.868313 + 0.496017i \(0.165205\pi\)
−0.503973 + 0.863720i \(0.668129\pi\)
\(114\) −2.40728 + 8.71232i −0.225463 + 0.815983i
\(115\) 0.725220 + 2.13643i 0.0676271 + 0.199223i
\(116\) 12.3627 + 12.5412i 1.14785 + 1.16442i
\(117\) −5.86047 3.44948i −0.541801 0.318904i
\(118\) 1.58546 + 5.29480i 0.145953 + 0.487426i
\(119\) −2.98983 + 0.393618i −0.274077 + 0.0360829i
\(120\) 1.45429 + 1.31436i 0.132758 + 0.119984i
\(121\) 21.1269 + 2.78141i 1.92063 + 0.252856i
\(122\) −4.67598 + 0.754802i −0.423343 + 0.0683365i
\(123\) −11.1795 0.412973i −1.00802 0.0372366i
\(124\) 6.73340 5.82018i 0.604677 0.522668i
\(125\) 3.27370 2.18742i 0.292809 0.195648i
\(126\) 9.55491 1.46015i 0.851219 0.130081i
\(127\) −6.69310 −0.593917 −0.296958 0.954890i \(-0.595972\pi\)
−0.296958 + 0.954890i \(0.595972\pi\)
\(128\) 4.24961 10.4853i 0.375616 0.926775i
\(129\) 13.9653 14.7857i 1.22958 1.30181i
\(130\) −1.16646 0.533561i −0.102305 0.0467964i
\(131\) −0.971016 14.8148i −0.0848380 1.29438i −0.801938 0.597408i \(-0.796197\pi\)
0.717100 0.696971i \(-0.245469\pi\)
\(132\) −17.4697 + 9.08400i −1.52055 + 0.790661i
\(133\) 5.54307 + 6.32066i 0.480645 + 0.548071i
\(134\) −5.52044 6.77605i −0.476893 0.585362i
\(135\) 1.40206 + 1.53527i 0.120670 + 0.132135i
\(136\) −1.80024 + 3.28262i −0.154369 + 0.281483i
\(137\) 13.6689 1.79955i 1.16781 0.153746i 0.478419 0.878131i \(-0.341210\pi\)
0.689395 + 0.724386i \(0.257877\pi\)
\(138\) 11.5433 7.58371i 0.982631 0.645568i
\(139\) 1.68848 + 3.42391i 0.143215 + 0.290412i 0.956648 0.291247i \(-0.0940703\pi\)
−0.813432 + 0.581659i \(0.802404\pi\)
\(140\) 1.76442 0.459245i 0.149120 0.0388132i
\(141\) 9.75422 6.92798i 0.821454 0.583441i
\(142\) −4.51480 2.82997i −0.378874 0.237486i
\(143\) 9.11077 9.11077i 0.761880 0.761880i
\(144\) 5.55073 10.6390i 0.462561 0.886587i
\(145\) 2.49127 + 2.49127i 0.206889 + 0.206889i
\(146\) 4.56799 + 19.9135i 0.378049 + 1.64805i
\(147\) −1.30549 + 2.84938i −0.107675 + 0.235013i
\(148\) 9.44335 + 1.31217i 0.776238 + 0.107859i
\(149\) 13.2126 6.51572i 1.08242 0.533788i 0.188523 0.982069i \(-0.439630\pi\)
0.893893 + 0.448280i \(0.147963\pi\)
\(150\) −8.85216 7.88586i −0.722776 0.643877i
\(151\) 1.18782 + 9.02240i 0.0966636 + 0.734233i 0.969303 + 0.245868i \(0.0790730\pi\)
−0.872640 + 0.488364i \(0.837594\pi\)
\(152\) 10.3972 0.911280i 0.843326 0.0739146i
\(153\) −2.23379 + 3.28309i −0.180592 + 0.265422i
\(154\) −1.86039 + 18.2192i −0.149914 + 1.46814i
\(155\) 1.33874 1.17404i 0.107530 0.0943014i
\(156\) −1.36708 + 7.73238i −0.109454 + 0.619086i
\(157\) 4.13625 0.271104i 0.330109 0.0216365i 0.100552 0.994932i \(-0.467939\pi\)
0.229557 + 0.973295i \(0.426272\pi\)
\(158\) 15.9354 5.93255i 1.26775 0.471968i
\(159\) 2.60787 0.779148i 0.206818 0.0617905i
\(160\) 0.835142 2.10378i 0.0660238 0.166318i
\(161\) 12.8461i 1.01242i
\(162\) 6.94005 10.6694i 0.545262 0.838266i
\(163\) 0.773412 + 1.15749i 0.0605783 + 0.0906618i 0.860522 0.509413i \(-0.170137\pi\)
−0.799944 + 0.600075i \(0.795137\pi\)
\(164\) 4.06450 + 12.2617i 0.317384 + 0.957476i
\(165\) −3.48197 + 1.84240i −0.271071 + 0.143431i
\(166\) −6.58283 + 9.11714i −0.510927 + 0.707627i
\(167\) 2.85803 21.7089i 0.221161 1.67989i −0.416163 0.909290i \(-0.636626\pi\)
0.637324 0.770596i \(-0.280041\pi\)
\(168\) −5.43545 9.74818i −0.419354 0.752089i
\(169\) 1.02617 + 7.79452i 0.0789360 + 0.599578i
\(170\) −0.355449 + 0.659304i −0.0272617 + 0.0505663i
\(171\) 11.0698 + 0.0929568i 0.846529 + 0.00710858i
\(172\) −21.6320 9.14247i −1.64942 0.697107i
\(173\) 0.227924 0.0773697i 0.0173287 0.00588231i −0.312762 0.949832i \(-0.601254\pi\)
0.330090 + 0.943949i \(0.392921\pi\)
\(174\) 10.9290 18.5939i 0.828528 1.40960i
\(175\) −10.6508 + 2.85388i −0.805126 + 0.215733i
\(176\) 16.8775 + 15.2347i 1.27219 + 1.14836i
\(177\) 5.76342 3.55046i 0.433206 0.266869i
\(178\) 1.85960 2.96671i 0.139383 0.222365i
\(179\) −15.7441 3.13171i −1.17677 0.234075i −0.432301 0.901729i \(-0.642298\pi\)
−0.744471 + 0.667654i \(0.767298\pi\)
\(180\) 1.09522 2.13641i 0.0816332 0.159239i
\(181\) 10.8788 16.2813i 0.808615 1.21018i −0.165963 0.986132i \(-0.553073\pi\)
0.974579 0.224046i \(-0.0719267\pi\)
\(182\) 5.31256 + 5.01161i 0.393793 + 0.371486i
\(183\) 2.37191 + 5.29394i 0.175337 + 0.391339i
\(184\) −12.8629 9.42835i −0.948264 0.695067i
\(185\) 1.89112 + 0.248971i 0.139038 + 0.0183047i
\(186\) −9.01599 6.12632i −0.661084 0.449203i
\(187\) −4.96079 5.65670i −0.362769 0.413659i
\(188\) −11.4315 7.75737i −0.833727 0.565764i
\(189\) −4.74950 10.8437i −0.345475 0.788760i
\(190\) 2.07876 0.197221i 0.150809 0.0143079i
\(191\) 13.4095 + 23.2260i 0.970280 + 1.68057i 0.694704 + 0.719296i \(0.255535\pi\)
0.275576 + 0.961279i \(0.411131\pi\)
\(192\) −13.7502 1.71210i −0.992337 0.123560i
\(193\) −6.58835 + 11.4113i −0.474240 + 0.821407i −0.999565 0.0294945i \(-0.990610\pi\)
0.525325 + 0.850901i \(0.323944\pi\)
\(194\) −5.90370 + 12.9065i −0.423861 + 0.926633i
\(195\) −0.262410 + 1.54890i −0.0187916 + 0.110919i
\(196\) 3.60954 + 0.262578i 0.257824 + 0.0187555i
\(197\) −8.05630 + 1.60250i −0.573988 + 0.114173i −0.473545 0.880770i \(-0.657026\pi\)
−0.100443 + 0.994943i \(0.532026\pi\)
\(198\) 16.2732 + 17.7974i 1.15649 + 1.26481i
\(199\) 6.45115 + 15.5744i 0.457310 + 1.10404i 0.969482 + 0.245161i \(0.0788407\pi\)
−0.512173 + 0.858882i \(0.671159\pi\)
\(200\) −4.95952 + 12.7593i −0.350691 + 0.902219i
\(201\) −6.27158 + 8.67482i −0.442363 + 0.611875i
\(202\) 2.21916 9.36554i 0.156139 0.658957i
\(203\) −8.87244 17.9915i −0.622723 1.26276i
\(204\) 4.45337 + 1.09189i 0.311798 + 0.0764479i
\(205\) 0.830727 + 2.44724i 0.0580205 + 0.170923i
\(206\) −12.5487 23.6807i −0.874308 1.64991i
\(207\) −12.6238 11.2597i −0.877414 0.782603i
\(208\) 8.91728 1.64123i 0.618302 0.113799i
\(209\) −5.42867 + 20.2601i −0.375509 + 1.40142i
\(210\) −1.10140 1.94243i −0.0760035 0.134040i
\(211\) 7.85529 + 6.88890i 0.540780 + 0.474251i 0.885620 0.464410i \(-0.153734\pi\)
−0.344840 + 0.938661i \(0.612067\pi\)
\(212\) −1.89532 2.50703i −0.130171 0.172184i
\(213\) −1.92059 + 6.23696i −0.131597 + 0.427349i
\(214\) −11.7577 + 0.342728i −0.803739 + 0.0234284i
\(215\) −4.34081 1.79802i −0.296041 0.122624i
\(216\) −14.3437 3.20296i −0.975964 0.217934i
\(217\) −9.36671 + 3.87982i −0.635854 + 0.263379i
\(218\) −0.509434 1.13515i −0.0345032 0.0768821i
\(219\) 22.1171 11.7027i 1.49454 0.790796i
\(220\) 3.39837 + 3.02366i 0.229118 + 0.203855i
\(221\) −2.99399 + 0.196236i −0.201397 + 0.0132003i
\(222\) −1.43399 11.5884i −0.0962429 0.777764i
\(223\) −1.22985 + 0.710053i −0.0823568 + 0.0475487i −0.540613 0.841272i \(-0.681808\pi\)
0.458256 + 0.888820i \(0.348474\pi\)
\(224\) −8.35312 + 9.81429i −0.558116 + 0.655745i
\(225\) −6.53102 + 12.9679i −0.435401 + 0.864528i
\(226\) −16.3105 13.4838i −1.08496 0.896931i
\(227\) −5.13648 + 10.4158i −0.340920 + 0.691318i −0.998047 0.0624620i \(-0.980105\pi\)
0.657127 + 0.753780i \(0.271771\pi\)
\(228\) −4.36646 12.0139i −0.289176 0.795638i
\(229\) −6.97280 2.36695i −0.460776 0.156412i 0.0813927 0.996682i \(-0.474063\pi\)
−0.542168 + 0.840270i \(0.682397\pi\)
\(230\) −2.58687 1.86779i −0.170573 0.123159i
\(231\) 22.1454 3.56078i 1.45706 0.234282i
\(232\) −24.5269 4.32079i −1.61027 0.283674i
\(233\) 19.8440 + 8.21965i 1.30002 + 0.538487i 0.921957 0.387291i \(-0.126589\pi\)
0.378066 + 0.925779i \(0.376589\pi\)
\(234\) 9.58137 0.827905i 0.626354 0.0541219i
\(235\) −2.29811 1.53555i −0.149912 0.100168i
\(236\) −6.16695 4.80269i −0.401434 0.312628i
\(237\) −12.0592 16.9787i −0.783327 1.10288i
\(238\) 3.12311 2.90417i 0.202441 0.188249i
\(239\) 2.87282 0.769771i 0.185828 0.0497923i −0.164705 0.986343i \(-0.552667\pi\)
0.350533 + 0.936551i \(0.386001\pi\)
\(240\) −2.75333 0.322805i −0.177727 0.0208370i
\(241\) −9.19659 2.46422i −0.592404 0.158734i −0.0498526 0.998757i \(-0.515875\pi\)
−0.542552 + 0.840022i \(0.682542\pi\)
\(242\) −26.6282 + 14.1106i −1.71172 + 0.907063i
\(243\) −14.8189 4.83722i −0.950636 0.310308i
\(244\) 4.77033 4.70243i 0.305389 0.301042i
\(245\) 0.722501 + 0.0473552i 0.0461589 + 0.00302541i
\(246\) 13.2227 8.68702i 0.843046 0.553864i
\(247\) 5.09199 + 6.63601i 0.323996 + 0.422239i
\(248\) −2.98978 + 12.2265i −0.189851 + 0.776384i
\(249\) 12.8694 + 4.90547i 0.815562 + 0.310871i
\(250\) −1.98003 + 5.20416i −0.125228 + 0.329140i
\(251\) 5.18920 1.03220i 0.327540 0.0651517i −0.0285816 0.999591i \(-0.509099\pi\)
0.356121 + 0.934440i \(0.384099\pi\)
\(252\) −9.81510 + 9.51422i −0.618293 + 0.599340i
\(253\) 26.6488 17.8062i 1.67540 1.11947i
\(254\) 7.71369 5.48582i 0.484000 0.344211i
\(255\) 0.892507 + 0.212058i 0.0558910 + 0.0132796i
\(256\) 3.69636 + 15.5672i 0.231022 + 0.972948i
\(257\) 10.6547 18.4546i 0.664625 1.15116i −0.314762 0.949171i \(-0.601925\pi\)
0.979387 0.201993i \(-0.0647419\pi\)
\(258\) −3.97610 + 28.4865i −0.247541 + 1.77349i
\(259\) −9.74053 4.80350i −0.605247 0.298475i
\(260\) 1.78164 0.341133i 0.110493 0.0211562i
\(261\) −25.4569 7.05079i −1.57574 0.436433i
\(262\) 13.2617 + 16.2780i 0.819308 + 1.00566i
\(263\) −3.30597 + 4.30842i −0.203855 + 0.265669i −0.884081 0.467333i \(-0.845215\pi\)
0.680226 + 0.733002i \(0.261881\pi\)
\(264\) 12.6881 24.7878i 0.780901 1.52558i
\(265\) −0.382773 0.498839i −0.0235135 0.0306435i
\(266\) −11.5689 2.74123i −0.709332 0.168076i
\(267\) −4.09836 1.26204i −0.250815 0.0772354i
\(268\) 11.9160 + 3.28461i 0.727887 + 0.200640i
\(269\) −16.3342 3.24908i −0.995917 0.198100i −0.329883 0.944022i \(-0.607009\pi\)
−0.666034 + 0.745922i \(0.732009\pi\)
\(270\) −2.87419 0.620216i −0.174918 0.0377451i
\(271\) −1.32975 + 1.32975i −0.0807766 + 0.0807766i −0.746341 0.665564i \(-0.768191\pi\)
0.665564 + 0.746341i \(0.268191\pi\)
\(272\) −0.615766 5.25869i −0.0373363 0.318855i
\(273\) 4.24963 7.87083i 0.257199 0.476364i
\(274\) −14.2783 + 13.2773i −0.862581 + 0.802111i
\(275\) −20.6835 18.1390i −1.24726 1.09382i
\(276\) −7.08768 + 18.2013i −0.426628 + 1.09559i
\(277\) −0.852389 + 13.0049i −0.0512151 + 0.781392i 0.892586 + 0.450877i \(0.148889\pi\)
−0.943801 + 0.330514i \(0.892778\pi\)
\(278\) −4.75226 2.56208i −0.285022 0.153663i
\(279\) −4.39731 + 12.6053i −0.263260 + 0.754659i
\(280\) −1.65705 + 1.97543i −0.0990278 + 0.118054i
\(281\) 2.70507 + 2.07567i 0.161371 + 0.123824i 0.686290 0.727328i \(-0.259238\pi\)
−0.524919 + 0.851152i \(0.675905\pi\)
\(282\) −5.56325 + 15.9792i −0.331287 + 0.951545i
\(283\) 9.83105 + 3.33719i 0.584395 + 0.198375i 0.597951 0.801533i \(-0.295982\pi\)
−0.0135559 + 0.999908i \(0.504315\pi\)
\(284\) 7.52275 0.438938i 0.446393 0.0260462i
\(285\) −0.890783 2.39723i −0.0527654 0.142000i
\(286\) −3.03262 + 17.9674i −0.179322 + 1.06243i
\(287\) 14.7150i 0.868600i
\(288\) 2.32288 + 16.8108i 0.136877 + 0.990588i
\(289\) 15.2479i 0.896938i
\(290\) −4.91305 0.829247i −0.288504 0.0486951i
\(291\) 17.1382 + 2.90349i 1.00466 + 0.170206i
\(292\) −21.5861 19.2059i −1.26323 1.12394i
\(293\) 6.80003 + 2.30830i 0.397262 + 0.134852i 0.512919 0.858437i \(-0.328564\pi\)
−0.115657 + 0.993289i \(0.536897\pi\)
\(294\) −0.830868 4.35387i −0.0484572 0.253923i
\(295\) −1.24065 0.951983i −0.0722334 0.0554266i
\(296\) −11.9588 + 6.22773i −0.695090 + 0.361979i
\(297\) 15.9115 24.8832i 0.923276 1.44387i
\(298\) −9.88684 + 18.3386i −0.572729 + 1.06233i
\(299\) 0.835937 12.7539i 0.0483435 0.737579i
\(300\) 16.6654 + 1.83288i 0.962177 + 0.105822i
\(301\) 20.1133 + 17.6388i 1.15931 + 1.01669i
\(302\) −8.76391 9.42460i −0.504306 0.542325i
\(303\) −11.7832 + 0.336223i −0.676927 + 0.0193155i
\(304\) −11.2357 + 9.57203i −0.644413 + 0.548994i
\(305\) 0.947610 0.947610i 0.0542600 0.0542600i
\(306\) −0.116485 5.61458i −0.00665901 0.320964i
\(307\) −22.3885 4.45335i −1.27778 0.254166i −0.490869 0.871233i \(-0.663321\pi\)
−0.786910 + 0.617067i \(0.788321\pi\)
\(308\) −12.7888 22.5221i −0.728709 1.28332i
\(309\) −24.0505 + 22.3369i −1.36819 + 1.27070i
\(310\) −0.580603 + 2.45033i −0.0329760 + 0.139169i
\(311\) 16.1779 + 21.0834i 0.917363 + 1.19553i 0.980300 + 0.197514i \(0.0632867\pi\)
−0.0629367 + 0.998018i \(0.520047\pi\)
\(312\) −4.76210 10.0319i −0.269601 0.567947i
\(313\) 4.70971 6.13781i 0.266208 0.346929i −0.641053 0.767496i \(-0.721502\pi\)
0.907261 + 0.420567i \(0.138169\pi\)
\(314\) −4.54476 + 3.70261i −0.256476 + 0.208950i
\(315\) −1.94997 + 1.91749i −0.109868 + 0.108038i
\(316\) −13.5028 + 19.8982i −0.759594 + 1.11936i
\(317\) −27.2512 13.4388i −1.53058 0.754799i −0.534663 0.845066i \(-0.679561\pi\)
−0.995918 + 0.0902671i \(0.971228\pi\)
\(318\) −2.36692 + 3.03543i −0.132731 + 0.170218i
\(319\) 25.0246 43.3439i 1.40111 2.42679i
\(320\) 0.761817 + 3.10907i 0.0425869 + 0.173802i
\(321\) 4.12401 + 13.8034i 0.230180 + 0.770430i
\(322\) 10.5290 + 14.8049i 0.586756 + 0.825047i
\(323\) 4.06120 2.71361i 0.225971 0.150989i
\(324\) 0.746566 + 17.9845i 0.0414759 + 0.999140i
\(325\) −10.7601 + 2.14032i −0.596863 + 0.118723i
\(326\) −1.84005 0.700085i −0.101911 0.0387741i
\(327\) −1.18200 + 0.961769i −0.0653650 + 0.0531860i
\(328\) −14.7342 10.8000i −0.813561 0.596331i
\(329\) 9.58016 + 12.4851i 0.528171 + 0.688326i
\(330\) 2.50284 4.97724i 0.137777 0.273988i
\(331\) −11.6886 0.766110i −0.642463 0.0421092i −0.259310 0.965794i \(-0.583495\pi\)
−0.383153 + 0.923685i \(0.625162\pi\)
\(332\) 0.113990 15.9028i 0.00625599 0.872779i
\(333\) −13.2580 + 5.36166i −0.726534 + 0.293817i
\(334\) 14.4993 + 27.3617i 0.793365 + 1.49716i
\(335\) 2.38863 + 0.640032i 0.130505 + 0.0349687i
\(336\) 14.2541 + 6.77960i 0.777625 + 0.369858i
\(337\) −21.9071 + 5.86998i −1.19335 + 0.319758i −0.800211 0.599719i \(-0.795279\pi\)
−0.393144 + 0.919477i \(0.628613\pi\)
\(338\) −7.57121 8.14198i −0.411819 0.442866i
\(339\) −10.7958 + 23.5632i −0.586347 + 1.27978i
\(340\) −0.130731 1.05117i −0.00708990 0.0570077i
\(341\) −21.0319 14.0531i −1.13894 0.761016i
\(342\) −12.8340 + 8.96593i −0.693981 + 0.484822i
\(343\) −18.5426 7.68061i −1.00121 0.414714i
\(344\) 32.4239 7.19354i 1.74818 0.387849i
\(345\) −1.39186 + 3.65151i −0.0749353 + 0.196591i
\(346\) −0.199264 + 0.275979i −0.0107125 + 0.0148367i
\(347\) 13.9918 + 4.74956i 0.751117 + 0.254970i 0.670636 0.741786i \(-0.266021\pi\)
0.0804805 + 0.996756i \(0.474355\pi\)
\(348\) 2.64449 + 30.3869i 0.141759 + 1.62891i
\(349\) −8.13831 + 16.5029i −0.435634 + 0.883378i 0.562755 + 0.826624i \(0.309742\pi\)
−0.998388 + 0.0567536i \(0.981925\pi\)
\(350\) 9.93579 12.0187i 0.531090 0.642426i
\(351\) −4.00979 11.0749i −0.214027 0.591135i
\(352\) −31.9378 3.72454i −1.70229 0.198519i
\(353\) 5.40531 3.12076i 0.287696 0.166101i −0.349206 0.937046i \(-0.613549\pi\)
0.636902 + 0.770945i \(0.280215\pi\)
\(354\) −3.73221 + 8.81568i −0.198365 + 0.468548i
\(355\) 1.50437 0.0986018i 0.0798438 0.00523324i
\(356\) 0.288430 + 4.94326i 0.0152868 + 0.261992i
\(357\) −4.42395 2.77681i −0.234140 0.146964i
\(358\) 20.7117 9.29502i 1.09465 0.491257i
\(359\) 9.22143 3.81964i 0.486689 0.201593i −0.125826 0.992052i \(-0.540158\pi\)
0.612515 + 0.790459i \(0.290158\pi\)
\(360\) 0.488823 + 3.35985i 0.0257632 + 0.177080i
\(361\) 4.97364 + 2.06015i 0.261770 + 0.108429i
\(362\) 0.806865 + 27.6804i 0.0424079 + 1.45485i
\(363\) 25.1172 + 27.0440i 1.31831 + 1.41944i
\(364\) −10.2303 1.42151i −0.536212 0.0745074i
\(365\) −4.34606 3.81139i −0.227483 0.199497i
\(366\) −7.07262 4.15710i −0.369692 0.217295i
\(367\) −7.98357 + 29.7951i −0.416739 + 1.55529i 0.364588 + 0.931169i \(0.381210\pi\)
−0.781327 + 0.624122i \(0.785457\pi\)
\(368\) 22.5519 + 0.323316i 1.17560 + 0.0168540i
\(369\) −14.4603 12.8978i −0.752776 0.671432i
\(370\) −2.38355 + 1.26307i −0.123915 + 0.0656639i
\(371\) 1.15079 + 3.39010i 0.0597458 + 0.176005i
\(372\) 15.4120 0.329230i 0.799077 0.0170698i
\(373\) −15.8191 32.0780i −0.819084 1.66094i −0.748218 0.663453i \(-0.769090\pi\)
−0.0708658 0.997486i \(-0.522576\pi\)
\(374\) 10.3536 + 2.45328i 0.535371 + 0.126856i
\(375\) 6.78380 + 0.696917i 0.350314 + 0.0359886i
\(376\) 19.5327 0.429267i 1.00732 0.0221377i
\(377\) −7.63801 18.4398i −0.393378 0.949698i
\(378\) 14.3614 + 8.60434i 0.738672 + 0.442559i
\(379\) 18.4721 3.67434i 0.948850 0.188738i 0.303677 0.952775i \(-0.401786\pi\)
0.645172 + 0.764037i \(0.276786\pi\)
\(380\) −2.23409 + 1.93109i −0.114607 + 0.0990631i
\(381\) −8.93039 7.39195i −0.457518 0.378701i
\(382\) −34.4908 15.7768i −1.76470 0.807213i
\(383\) 14.5661 25.2292i 0.744293 1.28915i −0.206232 0.978503i \(-0.566120\pi\)
0.950525 0.310649i \(-0.100547\pi\)
\(384\) 17.2502 9.29683i 0.880295 0.474427i
\(385\) −2.59083 4.48744i −0.132041 0.228701i
\(386\) −1.76004 18.5514i −0.0895837 0.944239i
\(387\) 34.9630 4.30461i 1.77727 0.218816i
\(388\) −3.77454 19.7133i −0.191623 1.00079i
\(389\) 2.40814 + 2.74596i 0.122098 + 0.139226i 0.809659 0.586901i \(-0.199652\pi\)
−0.687561 + 0.726126i \(0.741319\pi\)
\(390\) −0.967093 2.00016i −0.0489706 0.101282i
\(391\) −7.39966 0.974183i −0.374217 0.0492666i
\(392\) −4.37514 + 2.65584i −0.220978 + 0.134140i
\(393\) 15.0661 20.8394i 0.759984 1.05121i
\(394\) 7.97131 8.44998i 0.401589 0.425704i
\(395\) −2.67285 + 4.00020i −0.134485 + 0.201272i
\(396\) −33.3418 7.17331i −1.67549 0.360473i
\(397\) 18.9963 + 3.77861i 0.953399 + 0.189643i 0.647196 0.762324i \(-0.275942\pi\)
0.306203 + 0.951966i \(0.400942\pi\)
\(398\) −20.2000 12.6618i −1.01253 0.634678i
\(399\) 0.415322 + 14.5553i 0.0207921 + 0.728676i
\(400\) −4.74205 18.7698i −0.237102 0.938491i
\(401\) −5.42299 + 1.45309i −0.270811 + 0.0725636i −0.391669 0.920106i \(-0.628102\pi\)
0.120858 + 0.992670i \(0.461435\pi\)
\(402\) 0.117812 15.1379i 0.00587595 0.755011i
\(403\) −9.55197 + 3.24246i −0.475818 + 0.161518i
\(404\) 5.11867 + 12.6125i 0.254663 + 0.627495i
\(405\) 0.175148 + 3.59691i 0.00870318 + 0.178732i
\(406\) 24.9716 + 13.4629i 1.23932 + 0.668152i
\(407\) −3.53679 26.8646i −0.175312 1.33163i
\(408\) −6.02737 + 2.39169i −0.298399 + 0.118406i
\(409\) −2.42127 + 18.3914i −0.119724 + 0.909396i 0.821167 + 0.570688i \(0.193323\pi\)
−0.940891 + 0.338708i \(0.890010\pi\)
\(410\) −2.96322 2.13953i −0.146343 0.105664i
\(411\) 20.2254 + 12.6951i 0.997647 + 0.626201i
\(412\) 33.8714 + 17.0064i 1.66872 + 0.837846i
\(413\) 4.94678 + 7.40338i 0.243415 + 0.364296i
\(414\) 23.7774 + 2.62986i 1.16860 + 0.129251i
\(415\) 3.18168i 0.156183i
\(416\) −8.93183 + 9.20030i −0.437919 + 0.451082i
\(417\) −1.52852 + 6.43319i −0.0748518 + 0.315035i
\(418\) −10.3492 27.7989i −0.506194 1.35969i
\(419\) −19.6853 + 1.29024i −0.961691 + 0.0630325i −0.538154 0.842846i \(-0.680878\pi\)
−0.423537 + 0.905879i \(0.639212\pi\)
\(420\) 2.86140 + 1.33589i 0.139622 + 0.0651847i
\(421\) 9.36931 8.21666i 0.456632 0.400456i −0.399892 0.916562i \(-0.630952\pi\)
0.856524 + 0.516107i \(0.172619\pi\)
\(422\) −14.6994 1.50097i −0.715555 0.0730663i
\(423\) 20.6661 + 1.52891i 1.00482 + 0.0743381i
\(424\) 4.23914 + 1.33587i 0.205871 + 0.0648754i
\(425\) 0.836196 + 6.35154i 0.0405615 + 0.308095i
\(426\) −2.89850 8.76215i −0.140433 0.424528i
\(427\) −6.84348 + 3.37483i −0.331179 + 0.163319i
\(428\) 13.2696 10.0319i 0.641412 0.484908i
\(429\) 22.2183 2.09416i 1.07271 0.101107i
\(430\) 6.47642 1.48564i 0.312321 0.0716438i
\(431\) 10.0459 + 10.0459i 0.483896 + 0.483896i 0.906373 0.422478i \(-0.138840\pi\)
−0.422478 + 0.906373i \(0.638840\pi\)
\(432\) 19.1561 8.06504i 0.921647 0.388030i
\(433\) 3.46735 3.46735i 0.166630 0.166630i −0.618866 0.785496i \(-0.712408\pi\)
0.785496 + 0.618866i \(0.212408\pi\)
\(434\) 7.61499 12.1486i 0.365531 0.583151i
\(435\) 0.572631 + 6.07542i 0.0274556 + 0.291294i
\(436\) 1.51751 + 0.890698i 0.0726755 + 0.0426567i
\(437\) 9.20255 + 18.6609i 0.440218 + 0.892673i
\(438\) −15.8978 + 31.6149i −0.759626 + 1.51062i
\(439\) −18.3852 + 2.42046i −0.877478 + 0.115522i −0.555789 0.831323i \(-0.687584\pi\)
−0.321689 + 0.946845i \(0.604251\pi\)
\(440\) −6.39483 0.699334i −0.304861 0.0333394i
\(441\) −4.88876 + 2.36004i −0.232798 + 0.112383i
\(442\) 3.28968 2.68010i 0.156474 0.127479i
\(443\) −9.21389 10.5064i −0.437765 0.499175i 0.490321 0.871542i \(-0.336880\pi\)
−0.928086 + 0.372367i \(0.878546\pi\)
\(444\) 11.1508 + 12.1801i 0.529193 + 0.578044i
\(445\) 0.0647921 + 0.988536i 0.00307144 + 0.0468611i
\(446\) 0.835405 1.82634i 0.0395575 0.0864796i
\(447\) 24.8252 + 5.89842i 1.17419 + 0.278986i
\(448\) 1.58282 18.1572i 0.0747811 0.857848i
\(449\) −29.6075 −1.39727 −0.698633 0.715480i \(-0.746208\pi\)
−0.698633 + 0.715480i \(0.746208\pi\)
\(450\) −3.10192 20.2983i −0.146226 0.956871i
\(451\) 30.5258 20.3967i 1.43740 0.960443i
\(452\) 29.8493 + 2.17140i 1.40399 + 0.102134i
\(453\) −8.37959 + 13.3501i −0.393707 + 0.627245i
\(454\) −2.61728 16.2140i −0.122835 0.760959i
\(455\) −2.04871 0.269717i −0.0960449 0.0126446i
\(456\) 14.8791 + 10.2669i 0.696778 + 0.480793i
\(457\) −2.77053 + 0.364747i −0.129600 + 0.0170622i −0.195047 0.980794i \(-0.562486\pi\)
0.0654471 + 0.997856i \(0.479153\pi\)
\(458\) 9.97605 2.98720i 0.466150 0.139583i
\(459\) −6.60637 + 1.91349i −0.308359 + 0.0893142i
\(460\) 4.51221 + 0.0323430i 0.210383 + 0.00150800i
\(461\) −9.28841 27.3628i −0.432604 1.27441i −0.916763 0.399431i \(-0.869208\pi\)
0.484159 0.874980i \(-0.339126\pi\)
\(462\) −22.6038 + 22.2546i −1.05162 + 1.03538i
\(463\) −3.28089 12.2444i −0.152476 0.569048i −0.999308 0.0371879i \(-0.988160\pi\)
0.846832 0.531860i \(-0.178507\pi\)
\(464\) 31.8083 15.1232i 1.47666 0.702075i
\(465\) 3.08286 0.0879668i 0.142964 0.00407936i
\(466\) −29.6069 + 6.79158i −1.37151 + 0.314614i
\(467\) 3.30068 16.5936i 0.152737 0.767861i −0.826148 0.563452i \(-0.809473\pi\)
0.978886 0.204409i \(-0.0655272\pi\)
\(468\) −10.3638 + 8.80725i −0.479067 + 0.407115i
\(469\) −11.7072 7.82250i −0.540588 0.361210i
\(470\) 3.90710 0.113889i 0.180221 0.00525332i
\(471\) 5.81828 + 4.20641i 0.268092 + 0.193821i
\(472\) 11.0437 + 0.480445i 0.508328 + 0.0221143i
\(473\) −8.71194 + 66.1738i −0.400576 + 3.04267i
\(474\) 27.8141 + 9.68366i 1.27754 + 0.444785i
\(475\) 13.4275 11.7756i 0.616096 0.540302i
\(476\) −1.21901 + 5.90678i −0.0558732 + 0.270737i
\(477\) 4.34010 + 1.84058i 0.198720 + 0.0842742i
\(478\) −2.67996 + 3.24178i −0.122579 + 0.148276i
\(479\) 18.7062 10.8000i 0.854707 0.493465i −0.00752915 0.999972i \(-0.502397\pi\)
0.862236 + 0.506506i \(0.169063\pi\)
\(480\) 3.43774 1.88466i 0.156911 0.0860227i
\(481\) −9.35806 5.40288i −0.426691 0.246350i
\(482\) 12.6186 4.69776i 0.574764 0.213977i
\(483\) 14.1874 17.1402i 0.645550 0.779904i
\(484\) 19.1232 38.0873i 0.869235 1.73124i
\(485\) −0.783405 3.93844i −0.0355726 0.178835i
\(486\) 21.0433 6.57113i 0.954543 0.298072i
\(487\) −25.1046 + 10.3987i −1.13760 + 0.471209i −0.870357 0.492421i \(-0.836112\pi\)
−0.267242 + 0.963630i \(0.586112\pi\)
\(488\) −1.64351 + 9.32935i −0.0743982 + 0.422320i
\(489\) −0.246411 + 2.39857i −0.0111431 + 0.108467i
\(490\) −0.871484 + 0.537602i −0.0393696 + 0.0242864i
\(491\) 13.7352 6.77348i 0.619863 0.305683i −0.105109 0.994461i \(-0.533519\pi\)
0.724972 + 0.688778i \(0.241853\pi\)
\(492\) −8.11882 + 20.8492i −0.366025 + 0.939956i
\(493\) −11.0364 + 3.74635i −0.497053 + 0.168727i
\(494\) −11.3075 3.47438i −0.508747 0.156320i
\(495\) −6.68066 1.38728i −0.300273 0.0623537i
\(496\) −6.57546 16.5413i −0.295247 0.742728i
\(497\) −8.29147 2.22169i −0.371923 0.0996565i
\(498\) −18.8524 + 4.89455i −0.844794 + 0.219330i
\(499\) −3.92679 + 4.47764i −0.175787 + 0.200447i −0.833023 0.553238i \(-0.813392\pi\)
0.657236 + 0.753685i \(0.271725\pi\)
\(500\) −1.98350 7.62058i −0.0887047 0.340803i
\(501\) 27.7890 25.8091i 1.24152 1.15306i
\(502\) −5.13446 + 5.44278i −0.229162 + 0.242923i
\(503\) −0.0523749 + 0.126444i −0.00233528 + 0.00563787i −0.925043 0.379863i \(-0.875971\pi\)
0.922708 + 0.385501i \(0.125971\pi\)
\(504\) 3.51368 19.0097i 0.156512 0.846758i
\(505\) 1.04213 + 2.51592i 0.0463741 + 0.111957i
\(506\) −16.1180 + 42.3633i −0.716532 + 1.88328i
\(507\) −7.23919 + 11.5333i −0.321503 + 0.512211i
\(508\) −4.39360 + 12.6446i −0.194935 + 0.561015i
\(509\) −0.166936 2.54696i −0.00739932 0.112892i 0.992561 0.121744i \(-0.0388488\pi\)
−0.999961 + 0.00885248i \(0.997182\pi\)
\(510\) −1.20241 + 0.487126i −0.0532435 + 0.0215703i
\(511\) 16.4566 + 28.5037i 0.727999 + 1.26093i
\(512\) −17.0192 14.9113i −0.752150 0.658992i
\(513\) 14.6674 + 12.3497i 0.647583 + 0.545251i
\(514\) 2.84636 + 30.0015i 0.125547 + 1.32331i
\(515\) 6.80070 + 3.35373i 0.299675 + 0.147783i
\(516\) −18.7658 36.0892i −0.826120 1.58874i
\(517\) −12.6207 + 37.1795i −0.555060 + 1.63515i
\(518\) 15.1629 2.44761i 0.666217 0.107542i
\(519\) 0.389559 + 0.148490i 0.0170998 + 0.00651799i
\(520\) −1.77371 + 1.85342i −0.0777823 + 0.0812780i
\(521\) −14.7760 + 35.6725i −0.647350 + 1.56284i 0.169209 + 0.985580i \(0.445879\pi\)
−0.816559 + 0.577262i \(0.804121\pi\)
\(522\) 35.1177 12.7391i 1.53706 0.557577i
\(523\) −4.29786 + 6.43220i −0.187932 + 0.281260i −0.913457 0.406936i \(-0.866597\pi\)
0.725524 + 0.688196i \(0.241597\pi\)
\(524\) −28.6257 7.89056i −1.25052 0.344701i
\(525\) −17.3629 7.95506i −0.757779 0.347187i
\(526\) 0.278794 7.67503i 0.0121560 0.334647i
\(527\) 1.52454 + 5.68967i 0.0664101 + 0.247846i
\(528\) 5.69375 + 38.9670i 0.247789 + 1.69582i
\(529\) 2.27590 8.49378i 0.0989522 0.369295i
\(530\) 0.849999 + 0.261175i 0.0369216 + 0.0113447i
\(531\) 11.6111 + 1.62794i 0.503880 + 0.0706464i
\(532\) 15.5797 6.32287i 0.675465 0.274131i
\(533\) 0.957552 14.6094i 0.0414762 0.632804i
\(534\) 5.75768 1.90463i 0.249159 0.0824213i
\(535\) 2.64034 2.02600i 0.114152 0.0875918i
\(536\) −16.4252 + 5.98119i −0.709459 + 0.258348i
\(537\) −17.5482 21.5666i −0.757261 0.930666i
\(538\) 21.4880 9.64340i 0.926412 0.415757i
\(539\) −2.00663 10.0880i −0.0864315 0.434521i
\(540\) 3.82080 1.64096i 0.164421 0.0706159i
\(541\) 7.92903 + 11.8666i 0.340896 + 0.510186i 0.961820 0.273685i \(-0.0882424\pi\)
−0.620924 + 0.783871i \(0.713242\pi\)
\(542\) 0.442622 2.62241i 0.0190122 0.112642i
\(543\) 32.4965 9.70890i 1.39456 0.416649i
\(544\) 5.01980 + 5.55585i 0.215222 + 0.238205i
\(545\) 0.304871 + 0.176017i 0.0130592 + 0.00753974i
\(546\) 1.55348 + 12.5541i 0.0664829 + 0.537266i
\(547\) 2.42637 4.92020i 0.103744 0.210372i −0.838811 0.544423i \(-0.816749\pi\)
0.942555 + 0.334050i \(0.108415\pi\)
\(548\) 5.57307 27.0047i 0.238070 1.15358i
\(549\) −2.68193 + 9.68310i −0.114462 + 0.413265i
\(550\) 38.7045 + 3.95217i 1.65037 + 0.168521i
\(551\) 25.7771 + 19.7795i 1.09814 + 0.842635i
\(552\) −6.74973 26.7859i −0.287287 1.14008i
\(553\) 21.7322 16.6757i 0.924145 0.709122i
\(554\) −9.67679 15.6866i −0.411127 0.666461i
\(555\) 2.24829 + 2.42077i 0.0954348 + 0.102756i
\(556\) 7.57684 0.942311i 0.321330 0.0399629i
\(557\) −0.906351 + 4.55653i −0.0384033 + 0.193067i −0.995225 0.0976098i \(-0.968880\pi\)
0.956821 + 0.290676i \(0.0938803\pi\)
\(558\) −5.26376 18.1315i −0.222833 0.767569i
\(559\) 18.8211 + 18.8211i 0.796048 + 0.796048i
\(560\) 0.290621 3.63481i 0.0122810 0.153599i
\(561\) −0.371694 13.0263i −0.0156929 0.549972i
\(562\) −4.81882 0.175043i −0.203270 0.00738373i
\(563\) −16.0416 + 18.2920i −0.676074 + 0.770915i −0.983549 0.180642i \(-0.942183\pi\)
0.307475 + 0.951556i \(0.400516\pi\)
\(564\) −6.68533 22.9755i −0.281503 0.967443i
\(565\) 5.97477 + 0.391607i 0.251360 + 0.0164750i
\(566\) −14.0654 + 4.21169i −0.591211 + 0.177031i
\(567\) 5.63877 19.7137i 0.236806 0.827900i
\(568\) −8.31008 + 6.67169i −0.348683 + 0.279938i
\(569\) −10.0255 + 13.0655i −0.420291 + 0.547734i −0.954730 0.297473i \(-0.903856\pi\)
0.534439 + 0.845207i \(0.320523\pi\)
\(570\) 2.99144 + 2.03267i 0.125298 + 0.0851391i
\(571\) −3.45643 + 10.1823i −0.144647 + 0.426117i −0.994973 0.100139i \(-0.968071\pi\)
0.850326 + 0.526256i \(0.176405\pi\)
\(572\) −11.2314 23.1927i −0.469610 0.969737i
\(573\) −7.75918 + 45.7994i −0.324144 + 1.91330i
\(574\) 12.0608 + 16.9588i 0.503406 + 0.707847i
\(575\) −27.2901 −1.13807
\(576\) −16.4556 17.4703i −0.685651 0.727930i
\(577\) −16.7349 −0.696684 −0.348342 0.937367i \(-0.613255\pi\)
−0.348342 + 0.937367i \(0.613255\pi\)
\(578\) 12.4976 + 17.5730i 0.519830 + 0.730941i
\(579\) −21.3935 + 7.94955i −0.889082 + 0.330372i
\(580\) 6.34188 3.07116i 0.263332 0.127523i
\(581\) −5.82314 + 17.1544i −0.241584 + 0.711685i
\(582\) −22.1312 + 10.7006i −0.917369 + 0.443555i
\(583\) −5.43754 + 7.08634i −0.225200 + 0.293486i
\(584\) 40.6192 + 4.44209i 1.68083 + 0.183815i
\(585\) −2.06075 + 1.77684i −0.0852017 + 0.0734634i
\(586\) −9.72886 + 2.91318i −0.401895 + 0.120342i
\(587\) 36.1054 + 2.36647i 1.49023 + 0.0976748i 0.788617 0.614885i \(-0.210797\pi\)
0.701612 + 0.712559i \(0.252464\pi\)
\(588\) 4.52609 + 4.33677i 0.186653 + 0.178845i
\(589\) 10.8272 12.3460i 0.446127 0.508710i
\(590\) 2.21009 + 0.0802812i 0.0909881 + 0.00330512i
\(591\) −12.5191 6.75933i −0.514967 0.278041i
\(592\) 8.67791 16.9790i 0.356660 0.697835i
\(593\) −0.0279938 0.0279938i −0.00114957 0.00114957i 0.706532 0.707681i \(-0.250259\pi\)
−0.707681 + 0.706532i \(0.750259\pi\)
\(594\) 2.05717 + 41.7189i 0.0844066 + 1.71175i
\(595\) −0.235405 + 1.18346i −0.00965065 + 0.0485171i
\(596\) −3.63630 29.2384i −0.148949 1.19765i
\(597\) −8.59306 + 27.9052i −0.351691 + 1.14208i
\(598\) 9.49001 + 15.3839i 0.388075 + 0.629093i
\(599\) −9.25681 + 7.10300i −0.378223 + 0.290221i −0.780325 0.625374i \(-0.784946\pi\)
0.402102 + 0.915595i \(0.368280\pi\)
\(600\) −20.7089 + 11.5470i −0.845436 + 0.471403i
\(601\) −37.0179 28.4048i −1.50999 1.15866i −0.941996 0.335624i \(-0.891053\pi\)
−0.567995 0.823032i \(-0.692281\pi\)
\(602\) −37.6374 3.84321i −1.53399 0.156637i
\(603\) −17.9486 + 4.64812i −0.730922 + 0.189286i
\(604\) 17.8249 + 3.67860i 0.725284 + 0.149680i
\(605\) 3.77117 7.64717i 0.153320 0.310902i
\(606\) 13.3044 10.0453i 0.540453 0.408061i
\(607\) −38.8071 22.4053i −1.57513 0.909402i −0.995524 0.0945056i \(-0.969873\pi\)
−0.579606 0.814897i \(-0.696794\pi\)
\(608\) 5.10353 20.2407i 0.206975 0.820867i
\(609\) 8.03187 33.8044i 0.325468 1.36982i
\(610\) −0.315422 + 1.86879i −0.0127711 + 0.0756650i
\(611\) 8.69897 + 13.0189i 0.351923 + 0.526690i
\(612\) 4.73608 + 6.37524i 0.191445 + 0.257704i
\(613\) 0.468268 + 2.35414i 0.0189132 + 0.0950830i 0.989089 0.147319i \(-0.0470645\pi\)
−0.970176 + 0.242402i \(0.922065\pi\)
\(614\) 29.4525 13.2177i 1.18860 0.533424i
\(615\) −1.59436 + 4.18275i −0.0642906 + 0.168665i
\(616\) 33.1985 + 15.4744i 1.33761 + 0.623481i
\(617\) −27.8963 + 21.4056i −1.12306 + 0.861757i −0.991572 0.129560i \(-0.958644\pi\)
−0.131492 + 0.991317i \(0.541977\pi\)
\(618\) 9.40995 45.4553i 0.378524 1.82848i
\(619\) −0.733437 + 11.1901i −0.0294793 + 0.449767i 0.957448 + 0.288604i \(0.0931912\pi\)
−0.986928 + 0.161163i \(0.948475\pi\)
\(620\) −1.33921 3.29984i −0.0537839 0.132525i
\(621\) −4.40817 28.9653i −0.176894 1.16234i
\(622\) −35.9252 11.0385i −1.44047 0.442605i
\(623\) 1.45989 5.44839i 0.0584893 0.218285i
\(624\) 13.7106 + 7.65852i 0.548865 + 0.306586i
\(625\) 5.85554 + 21.8532i 0.234222 + 0.874127i
\(626\) −0.397172 + 10.9339i −0.0158742 + 0.437007i
\(627\) −29.6188 + 21.0369i −1.18286 + 0.840132i
\(628\) 2.20302 7.99219i 0.0879100 0.318923i
\(629\) −3.50560 + 5.24650i −0.139777 + 0.209191i
\(630\) 0.675687 3.80812i 0.0269200 0.151719i
\(631\) −12.0567 + 29.1075i −0.479971 + 1.15875i 0.479651 + 0.877459i \(0.340763\pi\)
−0.959622 + 0.281293i \(0.909237\pi\)
\(632\) −0.747202 33.9996i −0.0297221 1.35243i
\(633\) 2.87287 + 17.8671i 0.114186 + 0.710154i
\(634\) 42.4213 6.84770i 1.68477 0.271957i
\(635\) −0.860852 + 2.53599i −0.0341619 + 0.100638i
\(636\) 0.239935 5.43827i 0.00951406 0.215641i
\(637\) −3.67879 1.81418i −0.145759 0.0718803i
\(638\) 6.68519 + 70.4639i 0.264669 + 2.78969i
\(639\) −9.45076 + 6.20065i −0.373866 + 0.245294i
\(640\) −3.42625 2.95875i −0.135434 0.116955i
\(641\) 2.42707 + 4.20381i 0.0958636 + 0.166041i 0.909969 0.414677i \(-0.136105\pi\)
−0.814105 + 0.580718i \(0.802772\pi\)
\(642\) −16.0664 12.5281i −0.634091 0.494443i
\(643\) 0.975639 + 14.8854i 0.0384755 + 0.587022i 0.972953 + 0.231001i \(0.0742001\pi\)
−0.934478 + 0.356021i \(0.884133\pi\)
\(644\) −24.2689 8.43266i −0.956329 0.332293i
\(645\) −3.80605 7.19310i −0.149863 0.283228i
\(646\) −2.45633 + 6.45604i −0.0966432 + 0.254010i
\(647\) 13.9808 + 33.7526i 0.549641 + 1.32695i 0.917747 + 0.397166i \(0.130006\pi\)
−0.368106 + 0.929784i \(0.619994\pi\)
\(648\) −15.6009 20.1150i −0.612862 0.790190i
\(649\) −8.50126 + 20.5239i −0.333704 + 0.805632i
\(650\) 10.6466 11.2859i 0.417594 0.442670i
\(651\) −16.7826 5.16800i −0.657763 0.202550i
\(652\) 2.69443 0.701311i 0.105522 0.0274655i
\(653\) 18.6845 21.3055i 0.731179 0.833750i −0.260093 0.965584i \(-0.583753\pi\)
0.991272 + 0.131833i \(0.0420864\pi\)
\(654\) 0.573953 2.07722i 0.0224433 0.0812258i
\(655\) −5.73817 1.53754i −0.224209 0.0600766i
\(656\) 25.8329 + 0.370354i 1.00860 + 0.0144599i
\(657\) 42.4348 + 8.81186i 1.65554 + 0.343783i
\(658\) −21.2741 6.53676i −0.829349 0.254830i
\(659\) −43.9289 + 14.9118i −1.71123 + 0.580883i −0.993334 0.115271i \(-0.963226\pi\)
−0.717892 + 0.696154i \(0.754893\pi\)
\(660\) 1.19497 + 7.78758i 0.0465142 + 0.303131i
\(661\) 28.7046 14.1556i 1.11648 0.550588i 0.212072 0.977254i \(-0.431979\pi\)
0.904409 + 0.426666i \(0.140312\pi\)
\(662\) 14.0988 8.69730i 0.547966 0.338030i
\(663\) −4.21151 3.04477i −0.163561 0.118249i
\(664\) 12.9029 + 18.4211i 0.500730 + 0.714879i
\(665\) 3.10781 1.28730i 0.120516 0.0499192i
\(666\) 10.8851 17.0458i 0.421788 0.660510i
\(667\) −9.68587 48.6941i −0.375038 1.88544i
\(668\) −39.1364 19.6499i −1.51423 0.760279i
\(669\) −2.42514 0.410859i −0.0937613 0.0158847i
\(670\) −3.27745 + 1.22015i −0.126619 + 0.0471385i
\(671\) −16.4868 9.51867i −0.636467 0.367464i
\(672\) −21.9843 + 3.86960i −0.848064 + 0.149273i
\(673\) 14.4487 8.34194i 0.556955 0.321558i −0.194968 0.980810i \(-0.562460\pi\)
0.751922 + 0.659252i \(0.229127\pi\)
\(674\) 20.4364 24.7206i 0.787180 0.952202i
\(675\) −23.0361 + 10.0898i −0.886659 + 0.388355i
\(676\) 15.3990 + 3.17797i 0.592271 + 0.122230i
\(677\) −6.25696 + 5.48720i −0.240474 + 0.210890i −0.771097 0.636718i \(-0.780292\pi\)
0.530622 + 0.847608i \(0.321958\pi\)
\(678\) −6.87092 36.0046i −0.263876 1.38275i
\(679\) −2.98435 + 22.6684i −0.114529 + 0.869932i
\(680\) 1.01223 + 1.10431i 0.0388172 + 0.0423482i
\(681\) −18.3567 + 8.22461i −0.703432 + 0.315168i
\(682\) 35.7571 1.04229i 1.36921 0.0399115i
\(683\) 31.1078 + 20.7856i 1.19031 + 0.795338i 0.983120 0.182963i \(-0.0585688\pi\)
0.207188 + 0.978301i \(0.433569\pi\)
\(684\) 7.44224 20.8521i 0.284561 0.797300i
\(685\) 1.07622 5.41055i 0.0411204 0.206726i
\(686\) 27.6653 6.34619i 1.05627 0.242299i
\(687\) −6.68950 10.8590i −0.255220 0.414297i
\(688\) −31.4720 + 34.8658i −1.19986 + 1.32925i
\(689\) 0.921923 + 3.44066i 0.0351225 + 0.131079i
\(690\) −1.38876 5.34911i −0.0528693 0.203637i
\(691\) −11.8343 34.8626i −0.450196 1.32624i −0.901080 0.433653i \(-0.857225\pi\)
0.450884 0.892583i \(-0.351109\pi\)
\(692\) 0.00345050 0.481383i 0.000131168 0.0182994i
\(693\) 33.4805 + 19.7067i 1.27182 + 0.748595i
\(694\) −20.0181 + 5.99417i −0.759877 + 0.227536i
\(695\) 1.51447 0.199384i 0.0574472 0.00756307i
\(696\) −27.9535 32.8529i −1.05958 1.24529i
\(697\) −8.47619 1.11591i −0.321058 0.0422681i
\(698\) −4.14685 25.6896i −0.156961 0.972366i
\(699\) 17.3993 + 32.8832i 0.658103 + 1.24376i
\(700\) −1.60003 + 21.9949i −0.0604756 + 0.831331i
\(701\) 19.0077 12.7006i 0.717912 0.479693i −0.142175 0.989842i \(-0.545410\pi\)
0.860086 + 0.510148i \(0.170410\pi\)
\(702\) 13.6985 + 9.47714i 0.517015 + 0.357692i
\(703\) 17.5907 0.663445
\(704\) 39.8605 21.8845i 1.50230 0.824802i
\(705\) −1.37042 4.58689i −0.0516128 0.172752i
\(706\) −3.67169 + 8.02694i −0.138186 + 0.302098i
\(707\) −1.01410 15.4722i −0.0381392 0.581892i
\(708\) −2.92422 13.2189i −0.109899 0.496798i
\(709\) 8.45645 + 9.64273i 0.317589 + 0.362140i 0.888504 0.458868i \(-0.151745\pi\)
−0.570916 + 0.821009i \(0.693412\pi\)
\(710\) −1.65295 + 1.34666i −0.0620341 + 0.0505391i
\(711\) 2.66129 35.9724i 0.0998062 1.34907i
\(712\) −4.38402 5.46062i −0.164298 0.204645i
\(713\) −24.8774 + 3.27518i −0.931668 + 0.122656i
\(714\) 7.37447 0.425738i 0.275982 0.0159329i
\(715\) −2.28022 4.62384i −0.0852756 0.172922i
\(716\) −16.2515 + 27.6881i −0.607346 + 1.03475i
\(717\) 4.68326 + 2.14570i 0.174900 + 0.0801328i
\(718\) −7.49688 + 11.9602i −0.279781 + 0.446350i
\(719\) −20.2878 + 20.2878i −0.756607 + 0.756607i −0.975703 0.219097i \(-0.929689\pi\)
0.219097 + 0.975703i \(0.429689\pi\)
\(720\) −3.31717 3.47152i −0.123624 0.129376i
\(721\) −30.5287 30.5287i −1.13695 1.13695i
\(722\) −7.42058 + 1.70222i −0.276165 + 0.0633500i
\(723\) −9.54920 13.4448i −0.355139 0.500016i
\(724\) −23.6174 31.2399i −0.877734 1.16102i
\(725\) −38.2209 + 18.8485i −1.41949 + 0.700015i
\(726\) −51.1130 10.5812i −1.89698 0.392705i
\(727\) −4.02211 30.5509i −0.149172 1.13307i −0.888220 0.459419i \(-0.848058\pi\)
0.739048 0.673653i \(-0.235276\pi\)
\(728\) 12.9553 6.74669i 0.480156 0.250049i
\(729\) −14.4302 22.8204i −0.534450 0.845200i
\(730\) 8.13266 + 0.830437i 0.301003 + 0.0307358i
\(731\) 11.6857 10.2481i 0.432210 0.379038i
\(732\) 11.5583 1.00589i 0.427208 0.0371787i
\(733\) 29.5905 1.93946i 1.09295 0.0716357i 0.491751 0.870736i \(-0.336357\pi\)
0.601198 + 0.799100i \(0.294690\pi\)
\(734\) −15.2198 40.8819i −0.561773 1.50898i
\(735\) 0.911710 + 0.861124i 0.0336289 + 0.0317630i
\(736\) −26.2557 + 18.1115i −0.967799 + 0.667598i
\(737\) 35.1291i 1.29400i
\(738\) 27.2366 + 3.01247i 1.00259 + 0.110890i
\(739\) −15.8763 23.7605i −0.584018 0.874045i 0.415347 0.909663i \(-0.363660\pi\)
−0.999365 + 0.0356177i \(0.988660\pi\)
\(740\) 1.71176 3.40928i 0.0629254 0.125327i
\(741\) −0.534817 + 14.4779i −0.0196470 + 0.531858i
\(742\) −4.10487 2.96383i −0.150694 0.108806i
\(743\) −0.0172780 + 0.131240i −0.000633870 + 0.00481472i −0.991759 0.128118i \(-0.959106\pi\)
0.991125 + 0.132933i \(0.0424396\pi\)
\(744\) −17.4923 + 13.0115i −0.641298 + 0.477025i
\(745\) −0.769407 5.84422i −0.0281889 0.214116i
\(746\) 44.5232 + 24.0037i 1.63011 + 0.878838i
\(747\) 11.7535 + 20.7583i 0.430038 + 0.759506i
\(748\) −13.9431 + 5.65868i −0.509810 + 0.206902i
\(749\) −17.9437 + 6.09107i −0.655649 + 0.222563i
\(750\) −8.38943 + 4.75697i −0.306339 + 0.173700i
\(751\) 39.8080 10.6665i 1.45262 0.389227i 0.555683 0.831394i \(-0.312457\pi\)
0.896933 + 0.442167i \(0.145790\pi\)
\(752\) −22.1593 + 16.5042i −0.808066 + 0.601846i
\(753\) 8.06376 + 4.35380i 0.293860 + 0.158661i
\(754\) 23.9164 + 14.9913i 0.870982 + 0.545950i
\(755\) 3.57132 + 0.710381i 0.129974 + 0.0258534i
\(756\) −23.6036 + 1.85459i −0.858455 + 0.0674509i
\(757\) 27.4857 41.1352i 0.998984 1.49509i 0.135457 0.990783i \(-0.456750\pi\)
0.863527 0.504303i \(-0.168250\pi\)
\(758\) −18.2773 + 19.3748i −0.663860 + 0.703724i
\(759\) 55.2221 + 5.67310i 2.00443 + 0.205921i
\(760\) 0.991987 4.05667i 0.0359832 0.147151i
\(761\) 12.8561 + 1.69253i 0.466032 + 0.0613543i 0.359886 0.932996i \(-0.382816\pi\)
0.106146 + 0.994351i \(0.466149\pi\)
\(762\) 16.3507 + 1.19955i 0.592325 + 0.0434550i
\(763\) −1.32160 1.50699i −0.0478451 0.0545568i
\(764\) 52.6812 10.0869i 1.90594 0.364933i
\(765\) 0.956644 + 1.26864i 0.0345875 + 0.0458678i
\(766\) 3.89125 + 41.0150i 0.140597 + 1.48193i
\(767\) 4.42952 + 7.67216i 0.159941 + 0.277025i
\(768\) −12.2607 + 24.8531i −0.442418 + 0.896809i
\(769\) 12.9017 22.3464i 0.465248 0.805833i −0.533965 0.845507i \(-0.679299\pi\)
0.999213 + 0.0396737i \(0.0126318\pi\)
\(770\) 6.66390 + 3.04820i 0.240150 + 0.109850i
\(771\) 34.5977 12.8561i 1.24601 0.463001i
\(772\) 17.2335 + 19.9376i 0.620248 + 0.717568i