Properties

Label 576.2.bm.a.205.70
Level $576$
Weight $2$
Character 576.205
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 205.70
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.70

$q$-expansion

\(f(q)\) \(=\) \(q+(1.02923 + 0.969885i) q^{2} +(1.72895 - 0.103664i) q^{3} +(0.118648 + 1.99648i) q^{4} +(-1.27321 - 1.45182i) q^{5} +(1.88003 + 1.57018i) q^{6} +(1.91718 + 0.252402i) q^{7} +(-1.81424 + 2.16992i) q^{8} +(2.97851 - 0.358461i) q^{9} +O(q^{10})\) \(q+(1.02923 + 0.969885i) q^{2} +(1.72895 - 0.103664i) q^{3} +(0.118648 + 1.99648i) q^{4} +(-1.27321 - 1.45182i) q^{5} +(1.88003 + 1.57018i) q^{6} +(1.91718 + 0.252402i) q^{7} +(-1.81424 + 2.16992i) q^{8} +(2.97851 - 0.358461i) q^{9} +(0.0976643 - 2.72914i) q^{10} +(1.15754 + 2.34727i) q^{11} +(0.412099 + 3.43950i) q^{12} +(1.22050 + 3.59547i) q^{13} +(1.72843 + 2.11922i) q^{14} +(-2.35182 - 2.37814i) q^{15} +(-3.97185 + 0.473755i) q^{16} +(-3.52760 - 3.52760i) q^{17} +(3.41325 + 2.51987i) q^{18} +(1.42427 - 7.16030i) q^{19} +(2.74747 - 2.71420i) q^{20} +(3.34087 + 0.237645i) q^{21} +(-1.08519 + 3.53857i) q^{22} +(1.19797 + 9.09948i) q^{23} +(-2.91177 + 3.93974i) q^{24} +(0.165916 - 1.26026i) q^{25} +(-2.23101 + 4.88432i) q^{26} +(5.11252 - 0.928524i) q^{27} +(-0.276445 + 3.85755i) q^{28} +(-3.39759 + 0.222690i) q^{29} +(-0.114058 - 4.72865i) q^{30} +(5.33684 - 3.08122i) q^{31} +(-4.54745 - 3.36463i) q^{32} +(2.24466 + 3.93830i) q^{33} +(-0.209363 - 7.05209i) q^{34} +(-2.07454 - 3.10477i) q^{35} +(1.06905 + 5.90399i) q^{36} +(0.105545 + 0.530609i) q^{37} +(8.41057 - 5.98824i) q^{38} +(2.48289 + 6.08984i) q^{39} +(5.46025 - 0.128821i) q^{40} +(-0.336040 - 2.55247i) q^{41} +(3.20805 + 3.48485i) q^{42} +(-8.62272 + 4.25225i) q^{43} +(-4.54892 + 2.58951i) q^{44} +(-4.31270 - 3.86787i) q^{45} +(-7.59245 + 10.5274i) q^{46} +(-0.702405 + 0.188209i) q^{47} +(-6.81799 + 1.23084i) q^{48} +(-3.14961 - 0.843935i) q^{49} +(1.39307 - 1.13618i) q^{50} +(-6.46472 - 5.73334i) q^{51} +(-7.03346 + 2.86329i) q^{52} +(-2.11897 + 3.17126i) q^{53} +(6.16254 + 4.00288i) q^{54} +(1.93401 - 4.66912i) q^{55} +(-4.02591 + 3.70221i) q^{56} +(1.72022 - 12.5274i) q^{57} +(-3.71290 - 3.06607i) q^{58} +(-9.51009 - 10.8442i) q^{59} +(4.46886 - 4.97752i) q^{60} +(-0.426344 - 6.50475i) q^{61} +(8.48129 + 2.00481i) q^{62} +(5.80081 + 0.0645465i) q^{63} +(-1.41709 - 7.87349i) q^{64} +(3.66603 - 6.34974i) q^{65} +(-1.50942 + 6.23049i) q^{66} +(4.48242 + 2.21048i) q^{67} +(6.62423 - 7.46132i) q^{68} +(3.01452 + 15.6083i) q^{69} +(0.876078 - 5.20760i) q^{70} +(-4.61515 - 11.1420i) q^{71} +(-4.62589 + 7.11345i) q^{72} +(-0.143067 + 0.345395i) q^{73} +(-0.406000 + 0.648488i) q^{74} +(0.156216 - 2.19612i) q^{75} +(14.4644 + 1.99397i) q^{76} +(1.62677 + 4.79230i) q^{77} +(-3.35097 + 8.67600i) q^{78} +(-0.696349 - 2.59881i) q^{79} +(5.74482 + 5.16322i) q^{80} +(8.74301 - 2.13535i) q^{81} +(2.12974 - 2.95301i) q^{82} +(-11.4486 - 10.0402i) q^{83} +(-0.0780672 + 6.69816i) q^{84} +(-0.630059 + 9.61284i) q^{85} +(-12.9990 - 3.98647i) q^{86} +(-5.85117 + 0.737229i) q^{87} +(-7.19343 - 1.74672i) q^{88} +(-3.73167 + 1.54571i) q^{89} +(-0.687394 - 8.16376i) q^{90} +(1.43241 + 7.20121i) q^{91} +(-18.0248 + 3.47135i) q^{92} +(8.90769 - 5.88051i) q^{93} +(-0.905480 - 0.487541i) q^{94} +(-12.2089 + 7.04880i) q^{95} +(-8.21108 - 5.34585i) q^{96} +(13.7438 + 7.93500i) q^{97} +(-2.42317 - 3.92336i) q^{98} +(4.28915 + 6.57641i) 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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.02923 + 0.969885i 0.727779 + 0.685812i
\(3\) 1.72895 0.103664i 0.998207 0.0598507i
\(4\) 0.118648 + 1.99648i 0.0593238 + 0.998239i
\(5\) −1.27321 1.45182i −0.569399 0.649275i 0.393440 0.919350i \(-0.371285\pi\)
−0.962839 + 0.270075i \(0.912951\pi\)
\(6\) 1.88003 + 1.57018i 0.767520 + 0.641024i
\(7\) 1.91718 + 0.252402i 0.724626 + 0.0953988i 0.483811 0.875172i \(-0.339252\pi\)
0.240815 + 0.970571i \(0.422585\pi\)
\(8\) −1.81424 + 2.16992i −0.641429 + 0.767182i
\(9\) 2.97851 0.358461i 0.992836 0.119487i
\(10\) 0.0976643 2.72914i 0.0308842 0.863029i
\(11\) 1.15754 + 2.34727i 0.349012 + 0.707727i 0.998619 0.0525437i \(-0.0167329\pi\)
−0.649606 + 0.760271i \(0.725066\pi\)
\(12\) 0.412099 + 3.43950i 0.118963 + 0.992899i
\(13\) 1.22050 + 3.59547i 0.338505 + 0.997203i 0.974282 + 0.225331i \(0.0723462\pi\)
−0.635778 + 0.771872i \(0.719320\pi\)
\(14\) 1.72843 + 2.11922i 0.461942 + 0.566386i
\(15\) −2.35182 2.37814i −0.607238 0.614032i
\(16\) −3.97185 + 0.473755i −0.992961 + 0.118439i
\(17\) −3.52760 3.52760i −0.855569 0.855569i 0.135244 0.990812i \(-0.456818\pi\)
−0.990812 + 0.135244i \(0.956818\pi\)
\(18\) 3.41325 + 2.51987i 0.804510 + 0.593939i
\(19\) 1.42427 7.16030i 0.326750 1.64268i −0.372663 0.927967i \(-0.621555\pi\)
0.699413 0.714718i \(-0.253445\pi\)
\(20\) 2.74747 2.71420i 0.614352 0.606913i
\(21\) 3.34087 + 0.237645i 0.729037 + 0.0518584i
\(22\) −1.08519 + 3.53857i −0.231364 + 0.754426i
\(23\) 1.19797 + 9.09948i 0.249794 + 1.89737i 0.412920 + 0.910767i \(0.364509\pi\)
−0.163127 + 0.986605i \(0.552158\pi\)
\(24\) −2.91177 + 3.93974i −0.594363 + 0.804197i
\(25\) 0.165916 1.26026i 0.0331833 0.252052i
\(26\) −2.23101 + 4.88432i −0.437537 + 0.957894i
\(27\) 5.11252 0.928524i 0.983905 0.178695i
\(28\) −0.276445 + 3.85755i −0.0522432 + 0.729009i
\(29\) −3.39759 + 0.222690i −0.630917 + 0.0413525i −0.377507 0.926007i \(-0.623219\pi\)
−0.253410 + 0.967359i \(0.581552\pi\)
\(30\) −0.114058 4.72865i −0.0208241 0.863330i
\(31\) 5.33684 3.08122i 0.958524 0.553404i 0.0628057 0.998026i \(-0.479995\pi\)
0.895719 + 0.444622i \(0.146662\pi\)
\(32\) −4.54745 3.36463i −0.803883 0.594788i
\(33\) 2.24466 + 3.93830i 0.390745 + 0.685570i
\(34\) −0.209363 7.05209i −0.0359055 1.20942i
\(35\) −2.07454 3.10477i −0.350661 0.524801i
\(36\) 1.06905 + 5.90399i 0.178175 + 0.983999i
\(37\) 0.105545 + 0.530609i 0.0173515 + 0.0872317i 0.988491 0.151281i \(-0.0483400\pi\)
−0.971139 + 0.238513i \(0.923340\pi\)
\(38\) 8.41057 5.98824i 1.36437 0.971422i
\(39\) 2.48289 + 6.08984i 0.397581 + 0.975156i
\(40\) 5.46025 0.128821i 0.863341 0.0203684i
\(41\) −0.336040 2.55247i −0.0524806 0.398630i −0.997444 0.0714534i \(-0.977236\pi\)
0.944963 0.327176i \(-0.106097\pi\)
\(42\) 3.20805 + 3.48485i 0.495012 + 0.537723i
\(43\) −8.62272 + 4.25225i −1.31495 + 0.648463i −0.958297 0.285774i \(-0.907749\pi\)
−0.356655 + 0.934236i \(0.616083\pi\)
\(44\) −4.54892 + 2.58951i −0.685776 + 0.390383i
\(45\) −4.31270 3.86787i −0.642899 0.576588i
\(46\) −7.59245 + 10.5274i −1.11945 + 1.55218i
\(47\) −0.702405 + 0.188209i −0.102456 + 0.0274531i −0.309683 0.950840i \(-0.600223\pi\)
0.207227 + 0.978293i \(0.433556\pi\)
\(48\) −6.81799 + 1.23084i −0.984093 + 0.177656i
\(49\) −3.14961 0.843935i −0.449944 0.120562i
\(50\) 1.39307 1.13618i 0.197011 0.160681i
\(51\) −6.46472 5.73334i −0.905241 0.802829i
\(52\) −7.03346 + 2.86329i −0.975365 + 0.397067i
\(53\) −2.11897 + 3.17126i −0.291063 + 0.435607i −0.947967 0.318367i \(-0.896866\pi\)
0.656904 + 0.753974i \(0.271866\pi\)
\(54\) 6.16254 + 4.00288i 0.838616 + 0.544723i
\(55\) 1.93401 4.66912i 0.260782 0.629584i
\(56\) −4.02591 + 3.70221i −0.537985 + 0.494728i
\(57\) 1.72022 12.5274i 0.227849 1.65930i
\(58\) −3.71290 3.06607i −0.487528 0.402595i
\(59\) −9.51009 10.8442i −1.23811 1.41179i −0.877848 0.478940i \(-0.841021\pi\)
−0.360261 0.932852i \(-0.617312\pi\)
\(60\) 4.46886 4.97752i 0.576927 0.642595i
\(61\) −0.426344 6.50475i −0.0545877 0.832848i −0.934109 0.356988i \(-0.883804\pi\)
0.879521 0.475860i \(-0.157863\pi\)
\(62\) 8.48129 + 2.00481i 1.07712 + 0.254612i
\(63\) 5.80081 + 0.0645465i 0.730833 + 0.00813209i
\(64\) −1.41709 7.87349i −0.177136 0.984186i
\(65\) 3.66603 6.34974i 0.454715 0.787589i
\(66\) −1.50942 + 6.23049i −0.185796 + 0.766921i
\(67\) 4.48242 + 2.21048i 0.547615 + 0.270054i 0.694981 0.719028i \(-0.255413\pi\)
−0.147366 + 0.989082i \(0.547080\pi\)
\(68\) 6.62423 7.46132i 0.803306 0.904817i
\(69\) 3.01452 + 15.6083i 0.362905 + 1.87902i
\(70\) 0.876078 5.20760i 0.104711 0.622427i
\(71\) −4.61515 11.1420i −0.547718 1.32231i −0.919172 0.393857i \(-0.871141\pi\)
0.371454 0.928451i \(-0.378859\pi\)
\(72\) −4.62589 + 7.11345i −0.545166 + 0.838328i
\(73\) −0.143067 + 0.345395i −0.0167448 + 0.0404255i −0.932031 0.362379i \(-0.881965\pi\)
0.915286 + 0.402805i \(0.131965\pi\)
\(74\) −0.406000 + 0.648488i −0.0471965 + 0.0753852i
\(75\) 0.156216 2.19612i 0.0180383 0.253586i
\(76\) 14.4644 + 1.99397i 1.65918 + 0.228724i
\(77\) 1.62677 + 4.79230i 0.185387 + 0.546133i
\(78\) −3.35097 + 8.67600i −0.379422 + 0.982364i
\(79\) −0.696349 2.59881i −0.0783454 0.292389i 0.915626 0.402032i \(-0.131696\pi\)
−0.993971 + 0.109643i \(0.965029\pi\)
\(80\) 5.74482 + 5.16322i 0.642290 + 0.577266i
\(81\) 8.74301 2.13535i 0.971446 0.237262i
\(82\) 2.12974 2.95301i 0.235191 0.326106i
\(83\) −11.4486 10.0402i −1.25665 1.10205i −0.990412 0.138144i \(-0.955886\pi\)
−0.266237 0.963908i \(-0.585780\pi\)
\(84\) −0.0780672 + 6.69816i −0.00851783 + 0.730829i
\(85\) −0.630059 + 9.61284i −0.0683395 + 1.04266i
\(86\) −12.9990 3.98647i −1.40172 0.429873i
\(87\) −5.85117 + 0.737229i −0.627311 + 0.0790392i
\(88\) −7.19343 1.74672i −0.766822 0.186201i
\(89\) −3.73167 + 1.54571i −0.395556 + 0.163845i −0.571590 0.820539i \(-0.693673\pi\)
0.176034 + 0.984384i \(0.443673\pi\)
\(90\) −0.687394 8.16376i −0.0724577 0.860536i
\(91\) 1.43241 + 7.20121i 0.150157 + 0.754892i
\(92\) −18.0248 + 3.47135i −1.87921 + 0.361913i
\(93\) 8.90769 5.88051i 0.923684 0.609780i
\(94\) −0.905480 0.487541i −0.0933932 0.0502860i
\(95\) −12.2089 + 7.04880i −1.25260 + 0.723192i
\(96\) −8.21108 5.34585i −0.838040 0.545608i
\(97\) 13.7438 + 7.93500i 1.39547 + 0.805677i 0.993914 0.110156i \(-0.0351351\pi\)
0.401559 + 0.915833i \(0.368468\pi\)
\(98\) −2.42317 3.92336i −0.244777 0.396320i
\(99\) 4.28915 + 6.57641i 0.431076 + 0.660954i
\(100\) 2.53577 + 0.181722i 0.253577 + 0.0181722i
\(101\) 1.36104 + 0.462011i 0.135429 + 0.0459718i 0.388331 0.921520i \(-0.373052\pi\)
−0.252902 + 0.967492i \(0.581385\pi\)
\(102\) −1.09303 12.1710i −0.108226 1.20511i
\(103\) −0.0747862 0.0573855i −0.00736891 0.00565436i 0.605070 0.796172i \(-0.293145\pi\)
−0.612439 + 0.790518i \(0.709812\pi\)
\(104\) −10.0161 3.87465i −0.982163 0.379941i
\(105\) −3.90862 5.15292i −0.381442 0.502873i
\(106\) −5.25668 + 1.20882i −0.510574 + 0.117411i
\(107\) 3.95570 + 2.64311i 0.382412 + 0.255519i 0.731887 0.681426i \(-0.238640\pi\)
−0.349475 + 0.936946i \(0.613640\pi\)
\(108\) 2.46037 + 10.0969i 0.236749 + 0.971571i
\(109\) −2.35865 + 11.8577i −0.225917 + 1.13576i 0.686698 + 0.726943i \(0.259060\pi\)
−0.912615 + 0.408820i \(0.865940\pi\)
\(110\) 6.51906 2.92985i 0.621568 0.279350i
\(111\) 0.237487 + 0.906454i 0.0225412 + 0.0860368i
\(112\) −7.73432 0.0942265i −0.730824 0.00890357i
\(113\) 12.5533 + 3.36365i 1.18092 + 0.316426i 0.795290 0.606229i \(-0.207319\pi\)
0.385627 + 0.922655i \(0.373985\pi\)
\(114\) 13.9207 11.2252i 1.30379 1.05134i
\(115\) 11.6856 13.3248i 1.08968 1.24255i
\(116\) −0.847712 6.75680i −0.0787081 0.627353i
\(117\) 4.92409 + 10.2716i 0.455232 + 0.949612i
\(118\) 0.729489 20.3849i 0.0671549 1.87658i
\(119\) −5.87267 7.65341i −0.538347 0.701587i
\(120\) 9.42712 0.788759i 0.860574 0.0720035i
\(121\) 2.52663 3.29276i 0.229693 0.299342i
\(122\) 5.87005 7.10841i 0.531449 0.643566i
\(123\) −0.845595 4.37825i −0.0762448 0.394774i
\(124\) 6.78480 + 10.2893i 0.609293 + 0.924006i
\(125\) −10.0689 + 6.72781i −0.900587 + 0.601753i
\(126\) 5.90779 + 5.69255i 0.526308 + 0.507133i
\(127\) −8.54688 −0.758413 −0.379206 0.925312i \(-0.623803\pi\)
−0.379206 + 0.925312i \(0.623803\pi\)
\(128\) 6.17786 9.47808i 0.546051 0.837752i
\(129\) −14.4674 + 8.24579i −1.27378 + 0.726001i
\(130\) 9.93172 2.97975i 0.871070 0.261342i
\(131\) 10.6877 + 5.27061i 0.933792 + 0.460495i 0.844527 0.535513i \(-0.179882\pi\)
0.0892649 + 0.996008i \(0.471548\pi\)
\(132\) −7.59640 + 4.94868i −0.661182 + 0.430727i
\(133\) 4.53785 13.3681i 0.393482 1.15916i
\(134\) 2.46955 + 6.62254i 0.213336 + 0.572100i
\(135\) −7.85738 6.24026i −0.676256 0.537076i
\(136\) 14.0545 1.25470i 1.20516 0.107590i
\(137\) 5.99423 + 7.81183i 0.512122 + 0.667410i 0.975818 0.218584i \(-0.0701438\pi\)
−0.463696 + 0.885994i \(0.653477\pi\)
\(138\) −12.0356 + 18.9884i −1.02454 + 1.61640i
\(139\) 1.31356 + 0.0860950i 0.111414 + 0.00730248i 0.121008 0.992651i \(-0.461387\pi\)
−0.00959395 + 0.999954i \(0.503054\pi\)
\(140\) 5.95246 4.51014i 0.503075 0.381177i
\(141\) −1.19491 + 0.398217i −0.100630 + 0.0335359i
\(142\) 6.05635 15.9439i 0.508237 1.33798i
\(143\) −7.02674 + 7.02674i −0.587605 + 0.587605i
\(144\) −11.6603 + 2.83483i −0.971696 + 0.236236i
\(145\) 4.64917 + 4.64917i 0.386093 + 0.386093i
\(146\) −0.482244 + 0.216734i −0.0399108 + 0.0179370i
\(147\) −5.53299 1.13262i −0.456353 0.0934166i
\(148\) −1.04683 + 0.273673i −0.0860487 + 0.0224958i
\(149\) −0.374262 + 5.71013i −0.0306607 + 0.467792i 0.954729 + 0.297477i \(0.0961452\pi\)
−0.985390 + 0.170315i \(0.945521\pi\)
\(150\) 2.29077 2.10881i 0.187040 0.172184i
\(151\) 17.9144 13.7462i 1.45785 1.11865i 0.488624 0.872495i \(-0.337499\pi\)
0.969230 0.246156i \(-0.0791676\pi\)
\(152\) 12.9533 + 16.0810i 1.05065 + 1.30434i
\(153\) −11.7715 9.24248i −0.951668 0.747210i
\(154\) −2.97365 + 6.51017i −0.239624 + 0.524605i
\(155\) −11.2683 3.82508i −0.905094 0.307238i
\(156\) −11.8636 + 5.67959i −0.949852 + 0.454731i
\(157\) −4.56850 + 9.26401i −0.364606 + 0.739348i −0.999446 0.0332960i \(-0.989400\pi\)
0.634839 + 0.772644i \(0.281066\pi\)
\(158\) 1.80384 3.35016i 0.143506 0.266525i
\(159\) −3.33484 + 5.70261i −0.264470 + 0.452246i
\(160\) 0.905035 + 10.8860i 0.0715493 + 0.860612i
\(161\) 17.7477i 1.39872i
\(162\) 11.0697 + 6.28193i 0.869714 + 0.493555i
\(163\) −6.47612 9.69220i −0.507249 0.759152i 0.486148 0.873876i \(-0.338402\pi\)
−0.993397 + 0.114724i \(0.963402\pi\)
\(164\) 5.05609 0.973741i 0.394814 0.0760364i
\(165\) 2.85978 8.27314i 0.222634 0.644063i
\(166\) −2.04551 21.4375i −0.158762 1.66387i
\(167\) 1.50288 + 1.15320i 0.116296 + 0.0892373i 0.665272 0.746601i \(-0.268315\pi\)
−0.548976 + 0.835838i \(0.684982\pi\)
\(168\) −6.57679 + 6.81826i −0.507410 + 0.526040i
\(169\) −1.12418 + 0.862610i −0.0864750 + 0.0663546i
\(170\) −9.97182 + 9.28278i −0.764804 + 0.711957i
\(171\) 1.67552 21.8375i 0.128130 1.66996i
\(172\) −9.51259 16.7105i −0.725328 1.27417i
\(173\) −8.93863 7.83897i −0.679592 0.595986i 0.248368 0.968666i \(-0.420106\pi\)
−0.927960 + 0.372680i \(0.878439\pi\)
\(174\) −6.73725 4.91618i −0.510750 0.372694i
\(175\) 0.636184 2.37427i 0.0480910 0.179478i
\(176\) −5.70961 8.77458i −0.430378 0.661409i
\(177\) −17.5666 17.7631i −1.32039 1.33516i
\(178\) −5.33992 2.02839i −0.400244 0.152034i
\(179\) 11.9588 + 2.37876i 0.893845 + 0.177797i 0.620581 0.784142i \(-0.286897\pi\)
0.273264 + 0.961939i \(0.411897\pi\)
\(180\) 7.21042 9.06912i 0.537433 0.675972i
\(181\) −2.19041 + 3.27818i −0.162812 + 0.243665i −0.903901 0.427741i \(-0.859309\pi\)
0.741089 + 0.671406i \(0.234309\pi\)
\(182\) −5.51006 + 8.80101i −0.408433 + 0.652374i
\(183\) −1.41144 11.2022i −0.104336 0.828087i
\(184\) −21.9185 13.9091i −1.61585 1.02539i
\(185\) 0.635970 0.828812i 0.0467574 0.0609355i
\(186\) 14.8715 + 2.58701i 1.09043 + 0.189688i
\(187\) 4.19686 12.3636i 0.306905 0.904113i
\(188\) −0.459093 1.38001i −0.0334828 0.100647i
\(189\) 10.0360 0.489741i 0.730010 0.0356234i
\(190\) −19.4023 4.58634i −1.40759 0.332728i
\(191\) −10.3590 + 17.9423i −0.749552 + 1.29826i 0.198486 + 0.980104i \(0.436397\pi\)
−0.948038 + 0.318158i \(0.896936\pi\)
\(192\) −3.26628 13.4659i −0.235723 0.971820i
\(193\) 12.1217 + 20.9955i 0.872542 + 1.51129i 0.859358 + 0.511374i \(0.170863\pi\)
0.0131839 + 0.999913i \(0.495803\pi\)
\(194\) 6.44958 + 21.4969i 0.463053 + 1.54339i
\(195\) 5.68012 11.3584i 0.406762 0.813392i
\(196\) 1.31120 6.38825i 0.0936574 0.456304i
\(197\) 18.8107 3.74168i 1.34021 0.266584i 0.527649 0.849463i \(-0.323074\pi\)
0.812559 + 0.582879i \(0.198074\pi\)
\(198\) −1.96382 + 10.9287i −0.139562 + 0.776666i
\(199\) 4.80520 + 11.6008i 0.340632 + 0.822358i 0.997652 + 0.0684849i \(0.0218165\pi\)
−0.657020 + 0.753873i \(0.728184\pi\)
\(200\) 2.43365 + 2.64644i 0.172085 + 0.187131i
\(201\) 7.97901 + 3.35714i 0.562796 + 0.236794i
\(202\) 0.952733 + 1.79557i 0.0670341 + 0.126336i
\(203\) −6.57000 0.430621i −0.461124 0.0302237i
\(204\) 10.6795 13.5869i 0.747712 0.951274i
\(205\) −3.27789 + 3.73772i −0.228938 + 0.261053i
\(206\) −0.0213153 0.131597i −0.00148511 0.00916881i
\(207\) 6.82996 + 26.6734i 0.474715 + 1.85393i
\(208\) −6.55099 13.7024i −0.454230 0.950092i
\(209\) 18.4558 4.94521i 1.27661 0.342067i
\(210\) 0.974849 9.09447i 0.0672710 0.627578i
\(211\) −24.0975 + 8.18000i −1.65894 + 0.563134i −0.984529 0.175222i \(-0.943936\pi\)
−0.674411 + 0.738356i \(0.735602\pi\)
\(212\) −6.58277 3.85422i −0.452106 0.264709i
\(213\) −9.13438 18.7854i −0.625877 1.28716i
\(214\) 1.50783 + 6.55696i 0.103073 + 0.448224i
\(215\) 17.1521 + 7.10463i 1.16976 + 0.484532i
\(216\) −7.26050 + 12.7783i −0.494014 + 0.869454i
\(217\) 11.0094 4.56024i 0.747366 0.309569i
\(218\) −13.9282 + 9.91675i −0.943337 + 0.671647i
\(219\) −0.211551 + 0.612001i −0.0142953 + 0.0413552i
\(220\) 9.55126 + 3.30723i 0.643946 + 0.222974i
\(221\) 8.37794 16.9888i 0.563562 1.14279i
\(222\) −0.634726 + 1.16329i −0.0426000 + 0.0780748i
\(223\) −8.27020 4.77480i −0.553814 0.319744i 0.196845 0.980435i \(-0.436930\pi\)
−0.750659 + 0.660690i \(0.770264\pi\)
\(224\) −7.86904 7.59838i −0.525772 0.507688i
\(225\) 0.0424297 3.81317i 0.00282865 0.254211i
\(226\) 9.65796 + 15.6373i 0.642438 + 1.04017i
\(227\) −19.8530 + 1.30124i −1.31769 + 0.0863662i −0.707967 0.706246i \(-0.750387\pi\)
−0.609726 + 0.792612i \(0.708721\pi\)
\(228\) 25.2148 + 1.94803i 1.66989 + 0.129012i
\(229\) −15.9024 + 13.9460i −1.05086 + 0.921578i −0.997033 0.0769719i \(-0.975475\pi\)
−0.0538255 + 0.998550i \(0.517141\pi\)
\(230\) 24.9507 2.38073i 1.64520 0.156981i
\(231\) 3.30938 + 8.11698i 0.217741 + 0.534058i
\(232\) 5.68082 7.77651i 0.372964 0.510553i
\(233\) −5.55049 2.29909i −0.363625 0.150618i 0.193388 0.981122i \(-0.438052\pi\)
−0.557012 + 0.830504i \(0.688052\pi\)
\(234\) −4.89425 + 15.3477i −0.319947 + 1.00331i
\(235\) 1.16756 + 0.780137i 0.0761631 + 0.0508905i
\(236\) 20.5218 20.2733i 1.33586 1.31968i
\(237\) −1.47335 4.42102i −0.0957047 0.287176i
\(238\) 1.37857 13.5730i 0.0893596 0.879805i
\(239\) 1.13657 4.24174i 0.0735187 0.274375i −0.919375 0.393383i \(-0.871305\pi\)
0.992893 + 0.119008i \(0.0379713\pi\)
\(240\) 10.4677 + 8.33140i 0.675689 + 0.537790i
\(241\) −0.119913 0.447522i −0.00772428 0.0288274i 0.961956 0.273204i \(-0.0880834\pi\)
−0.969680 + 0.244377i \(0.921417\pi\)
\(242\) 5.79409 0.938490i 0.372458 0.0603284i
\(243\) 14.8948 4.59825i 0.955504 0.294978i
\(244\) 12.9360 1.62296i 0.828142 0.103899i
\(245\) 2.78488 + 5.64718i 0.177920 + 0.360785i
\(246\) 3.37609 5.32638i 0.215251 0.339598i
\(247\) 27.4829 3.61820i 1.74870 0.230220i
\(248\) −2.99628 + 17.1706i −0.190264 + 1.09033i
\(249\) −20.8348 16.1721i −1.32035 1.02486i
\(250\) −16.8884 2.84115i −1.06812 0.179690i
\(251\) −10.4479 + 2.07822i −0.659465 + 0.131176i −0.513467 0.858109i \(-0.671639\pi\)
−0.145998 + 0.989285i \(0.546639\pi\)
\(252\) 0.559387 + 11.5888i 0.0352381 + 0.730029i
\(253\) −19.9722 + 13.3450i −1.25564 + 0.838992i
\(254\) −8.79674 8.28948i −0.551957 0.520128i
\(255\) −0.0928275 + 16.6854i −0.00581309 + 1.04488i
\(256\) 15.5511 3.76336i 0.971945 0.235210i
\(257\) 3.72754 + 6.45629i 0.232518 + 0.402732i 0.958548 0.284930i \(-0.0919703\pi\)
−0.726031 + 0.687662i \(0.758637\pi\)
\(258\) −22.8878 5.54486i −1.42493 0.345208i
\(259\) 0.0684217 + 1.04391i 0.00425152 + 0.0648656i
\(260\) 13.1121 + 6.56576i 0.813177 + 0.407191i
\(261\) −10.0399 + 1.88119i −0.621456 + 0.116443i
\(262\) 5.88831 + 15.7906i 0.363781 + 0.975544i
\(263\) −10.9404 1.44033i −0.674614 0.0888146i −0.214567 0.976709i \(-0.568834\pi\)
−0.460047 + 0.887895i \(0.652167\pi\)
\(264\) −12.6181 2.27428i −0.776592 0.139972i
\(265\) 7.30202 0.961329i 0.448559 0.0590540i
\(266\) 17.6360 9.35770i 1.08133 0.573758i
\(267\) −6.29161 + 3.05928i −0.385041 + 0.187225i
\(268\) −3.88135 + 9.21132i −0.237091 + 0.562671i
\(269\) 1.89087 + 0.376117i 0.115288 + 0.0229322i 0.252397 0.967624i \(-0.418781\pi\)
−0.137109 + 0.990556i \(0.543781\pi\)
\(270\) −2.03476 14.0434i −0.123832 0.854657i
\(271\) 3.13815 3.13815i 0.190629 0.190629i −0.605339 0.795968i \(-0.706962\pi\)
0.795968 + 0.605339i \(0.206962\pi\)
\(272\) 15.6823 + 12.3399i 0.950879 + 0.748214i
\(273\) 3.22307 + 12.3020i 0.195069 + 0.744552i
\(274\) −1.40711 + 13.8539i −0.0850065 + 0.836946i
\(275\) 3.15022 1.06936i 0.189966 0.0644846i
\(276\) −30.8040 + 7.87030i −1.85418 + 0.473737i
\(277\) 2.04353 1.00776i 0.122784 0.0605502i −0.379859 0.925044i \(-0.624028\pi\)
0.502643 + 0.864494i \(0.332361\pi\)
\(278\) 1.26845 + 1.36261i 0.0760769 + 0.0817239i
\(279\) 14.7913 11.0905i 0.885533 0.663971i
\(280\) 10.5008 + 1.13120i 0.627542 + 0.0676022i
\(281\) −0.798009 + 6.06148i −0.0476052 + 0.361598i 0.951018 + 0.309136i \(0.100040\pi\)
−0.998623 + 0.0524613i \(0.983293\pi\)
\(282\) −1.61607 0.749065i −0.0962354 0.0446062i
\(283\) −0.500919 + 0.439294i −0.0297765 + 0.0261133i −0.674105 0.738636i \(-0.735470\pi\)
0.644328 + 0.764749i \(0.277137\pi\)
\(284\) 21.6971 10.5360i 1.28749 0.625198i
\(285\) −20.3778 + 13.4526i −1.20708 + 0.796865i
\(286\) −14.0473 + 0.417037i −0.830633 + 0.0246599i
\(287\) 4.97837i 0.293864i
\(288\) −14.7507 8.39149i −0.869193 0.494473i
\(289\) 7.88792i 0.463995i
\(290\) 0.275928 + 9.29425i 0.0162031 + 0.545777i
\(291\) 24.5849 + 12.2944i 1.44119 + 0.720713i
\(292\) −0.706549 0.244651i −0.0413476 0.0143171i
\(293\) −19.4351 + 17.0441i −1.13541 + 0.995726i −0.135420 + 0.990788i \(0.543238\pi\)
−0.999988 + 0.00493766i \(0.998428\pi\)
\(294\) −4.59624 6.53209i −0.268058 0.380959i
\(295\) −3.63544 + 27.6139i −0.211664 + 1.60775i
\(296\) −1.34286 0.733628i −0.0780523 0.0426412i
\(297\) 8.09745 + 10.9256i 0.469862 + 0.633969i
\(298\) −5.92337 + 5.51408i −0.343132 + 0.319422i
\(299\) −31.2548 + 15.4131i −1.80751 + 0.891365i
\(300\) 4.40304 + 0.0513176i 0.254210 + 0.00296282i
\(301\) −17.6046 + 5.97595i −1.01471 + 0.344448i
\(302\) 31.7704 + 3.22684i 1.82818 + 0.185684i
\(303\) 2.40106 + 0.657701i 0.137937 + 0.0377839i
\(304\) −2.26476 + 29.1143i −0.129893 + 1.66982i
\(305\) −8.90091 + 8.90091i −0.509665 + 0.509665i
\(306\) −3.15149 20.9297i −0.180158 1.19647i
\(307\) 10.3823 + 2.06517i 0.592549 + 0.117865i 0.482251 0.876033i \(-0.339819\pi\)
0.110298 + 0.993899i \(0.464819\pi\)
\(308\) −9.37470 + 3.81640i −0.534173 + 0.217459i
\(309\) −0.135250 0.0914637i −0.00769411 0.00520319i
\(310\) −7.88787 14.8659i −0.448001 0.844326i
\(311\) 19.4780 2.56432i 1.10449 0.145409i 0.443844 0.896104i \(-0.353614\pi\)
0.660649 + 0.750695i \(0.270281\pi\)
\(312\) −17.7190 5.66074i −1.00314 0.320476i
\(313\) 27.7890 + 3.65849i 1.57073 + 0.206790i 0.865029 0.501722i \(-0.167300\pi\)
0.705699 + 0.708512i \(0.250633\pi\)
\(314\) −13.6871 + 5.10392i −0.772406 + 0.288031i
\(315\) −7.29197 8.50393i −0.410856 0.479142i
\(316\) 5.10585 1.69859i 0.287226 0.0955531i
\(317\) −0.194520 2.96780i −0.0109253 0.166688i −0.999835 0.0181696i \(-0.994216\pi\)
0.988910 0.148519i \(-0.0474505\pi\)
\(318\) −8.96320 + 2.63491i −0.502631 + 0.147758i
\(319\) −4.45557 7.71728i −0.249464 0.432085i
\(320\) −9.62665 + 12.0820i −0.538146 + 0.675405i
\(321\) 7.11319 + 4.15974i 0.397019 + 0.232174i
\(322\) −17.2132 + 18.2666i −0.959256 + 1.01796i
\(323\) −30.2829 + 20.2344i −1.68499 + 1.12587i
\(324\) 5.30053 + 17.2019i 0.294474 + 0.955660i
\(325\) 4.73373 0.941597i 0.262580 0.0522304i
\(326\) 2.73487 16.2566i 0.151470 0.900372i
\(327\) −2.84875 + 20.7458i −0.157536 + 1.14725i
\(328\) 6.14832 + 3.90161i 0.339484 + 0.215431i
\(329\) −1.39414 + 0.183542i −0.0768615 + 0.0101190i
\(330\) 10.9674 5.74135i 0.603734 0.316051i
\(331\) 12.6486 + 25.6488i 0.695228 + 1.40978i 0.902148 + 0.431426i \(0.141989\pi\)
−0.206920 + 0.978358i \(0.566344\pi\)
\(332\) 18.6866 24.0481i 1.02556 1.31981i
\(333\) 0.504568 + 1.54259i 0.0276502 + 0.0845334i
\(334\) 0.428345 + 2.64453i 0.0234380 + 0.144702i
\(335\) −2.49785 9.32210i −0.136472 0.509321i
\(336\) −13.3820 + 0.638862i −0.730047 + 0.0348528i
\(337\) −2.60214 + 9.71132i −0.141748 + 0.529009i 0.858131 + 0.513431i \(0.171626\pi\)
−0.999879 + 0.0155786i \(0.995041\pi\)
\(338\) −1.99367 0.202492i −0.108442 0.0110141i
\(339\) 22.0527 + 4.51424i 1.19774 + 0.245180i
\(340\) −19.2666 0.117357i −1.04488 0.00636458i
\(341\) 13.4101 + 8.96032i 0.726196 + 0.485229i
\(342\) 22.9044 20.8509i 1.23853 1.12749i
\(343\) −18.3310 7.59297i −0.989783 0.409982i
\(344\) 6.41661 26.4252i 0.345960 1.42475i
\(345\) 18.8224 24.2493i 1.01336 1.30554i
\(346\) −1.59705 16.7376i −0.0858581 0.899818i
\(347\) −0.629406 + 0.551974i −0.0337883 + 0.0296315i −0.676073 0.736834i \(-0.736320\pi\)
0.642285 + 0.766466i \(0.277986\pi\)
\(348\) −2.16609 11.5943i −0.116115 0.621517i
\(349\) 15.7132 1.02990i 0.841109 0.0551292i 0.361244 0.932471i \(-0.382352\pi\)
0.479865 + 0.877342i \(0.340686\pi\)
\(350\) 2.95755 1.82666i 0.158088 0.0976388i
\(351\) 9.57829 + 17.2486i 0.511251 + 0.920664i
\(352\) 2.63380 14.5688i 0.140382 0.776518i
\(353\) 9.79907 + 5.65750i 0.521552 + 0.301118i 0.737569 0.675271i \(-0.235973\pi\)
−0.216017 + 0.976390i \(0.569307\pi\)
\(354\) −0.851942 35.3200i −0.0452802 1.87724i
\(355\) −10.3001 + 20.8865i −0.546672 + 1.10854i
\(356\) −3.52872 7.26679i −0.187022 0.385139i
\(357\) −10.9469 12.6236i −0.579372 0.668109i
\(358\) 10.0013 + 14.0470i 0.528586 + 0.742406i
\(359\) 26.4255 10.9458i 1.39468 0.577697i 0.446318 0.894874i \(-0.352735\pi\)
0.948366 + 0.317177i \(0.102735\pi\)
\(360\) 16.2172 2.34098i 0.854722 0.123380i
\(361\) −31.6876 13.1254i −1.66777 0.690812i
\(362\) −5.43390 + 1.24957i −0.285599 + 0.0656759i
\(363\) 4.02706 5.95493i 0.211366 0.312553i
\(364\) −14.2071 + 3.71418i −0.744655 + 0.194676i
\(365\) 0.683608 0.232054i 0.0357817 0.0121462i
\(366\) 9.41210 12.8986i 0.491978 0.674220i
\(367\) −4.39328 + 1.17718i −0.229328 + 0.0614481i −0.371653 0.928372i \(-0.621209\pi\)
0.142325 + 0.989820i \(0.454542\pi\)
\(368\) −9.06907 35.5742i −0.472758 1.85443i
\(369\) −1.91586 7.48211i −0.0997356 0.389503i
\(370\) 1.45841 0.236225i 0.0758193 0.0122807i
\(371\) −4.86288 + 5.54505i −0.252468 + 0.287885i
\(372\) 12.7972 + 17.0863i 0.663503 + 0.885883i
\(373\) −11.4422 0.749964i −0.592457 0.0388317i −0.233774 0.972291i \(-0.575107\pi\)
−0.358683 + 0.933459i \(0.616774\pi\)
\(374\) 16.3108 8.65453i 0.843411 0.447515i
\(375\) −16.7111 + 12.6758i −0.862958 + 0.654575i
\(376\) 0.865931 1.86562i 0.0446570 0.0962118i
\(377\) −4.94742 11.9441i −0.254805 0.615155i
\(378\) 10.8044 + 9.22968i 0.555717 + 0.474724i
\(379\) −6.89265 + 1.37103i −0.354051 + 0.0704252i −0.368912 0.929464i \(-0.620270\pi\)
0.0148605 + 0.999890i \(0.495270\pi\)
\(380\) −15.5213 23.5384i −0.796227 1.20750i
\(381\) −14.7771 + 0.886008i −0.757053 + 0.0453915i
\(382\) −28.0638 + 8.41982i −1.43587 + 0.430796i
\(383\) 2.80224 + 4.85363i 0.143188 + 0.248009i 0.928695 0.370843i \(-0.120931\pi\)
−0.785508 + 0.618852i \(0.787598\pi\)
\(384\) 9.69864 17.0275i 0.494932 0.868932i
\(385\) 4.88634 8.46339i 0.249031 0.431335i
\(386\) −7.88707 + 33.3660i −0.401441 + 1.69828i
\(387\) −24.1586 + 15.7563i −1.22805 + 0.800936i
\(388\) −14.2114 + 28.3807i −0.721473 + 1.44081i
\(389\) 4.05005 11.9311i 0.205346 0.604928i −0.794652 0.607065i \(-0.792347\pi\)
0.999998 + 0.00213659i \(0.000680098\pi\)
\(390\) 16.8625 6.18140i 0.853867 0.313007i
\(391\) 27.8734 36.3253i 1.40962 1.83705i
\(392\) 7.54541 5.30330i 0.381101 0.267857i
\(393\) 19.0249 + 8.00466i 0.959679 + 0.403782i
\(394\) 22.9896 + 14.3932i 1.15820 + 0.725117i
\(395\) −2.88641 + 4.31982i −0.145231 + 0.217354i
\(396\) −12.6208 + 9.34347i −0.634217 + 0.469527i
\(397\) −8.01709 1.59470i −0.402366 0.0800356i −0.0102411 0.999948i \(-0.503260\pi\)
−0.392125 + 0.919912i \(0.628260\pi\)
\(398\) −6.30574 + 16.6004i −0.316078 + 0.832104i
\(399\) 6.45991 23.5831i 0.323400 1.18063i
\(400\) −0.0619399 + 5.08417i −0.00309700 + 0.254208i
\(401\) −2.10673 + 7.86242i −0.105205 + 0.392631i −0.998368 0.0571019i \(-0.981814\pi\)
0.893163 + 0.449732i \(0.148481\pi\)
\(402\) 4.95623 + 11.1940i 0.247194 + 0.558306i
\(403\) 17.5920 + 15.4278i 0.876321 + 0.768513i
\(404\) −0.760911 + 2.77211i −0.0378567 + 0.137917i
\(405\) −14.2319 9.97454i −0.707188 0.495639i
\(406\) −6.34442 6.81536i −0.314868 0.338240i
\(407\) −1.12331 + 0.861945i −0.0556803 + 0.0427250i
\(408\) 24.1694 3.62627i 1.19656 0.179527i
\(409\) 7.03818 + 5.40059i 0.348016 + 0.267042i 0.767946 0.640514i \(-0.221279\pi\)
−0.419930 + 0.907556i \(0.637946\pi\)
\(410\) −6.99887 + 0.667813i −0.345650 + 0.0329809i
\(411\) 11.1735 + 12.8848i 0.551149 + 0.635563i
\(412\) 0.105696 0.156118i 0.00520725 0.00769137i
\(413\) −15.4955 23.1906i −0.762482 1.14113i
\(414\) −18.8405 + 34.0775i −0.925961 + 1.67482i
\(415\) 29.4046i 1.44342i
\(416\) 6.54726 20.4567i 0.321006 1.00297i
\(417\) 2.27999 + 0.0126845i 0.111652 + 0.000621163i
\(418\) 23.7916 + 12.8102i 1.16369 + 0.626567i
\(419\) 5.89095 11.9457i 0.287792 0.583584i −0.704183 0.710018i \(-0.748687\pi\)
0.991975 + 0.126435i \(0.0403534\pi\)
\(420\) 9.82394 8.41485i 0.479359 0.410603i
\(421\) −34.5127 11.7155i −1.68205 0.570978i −0.693309 0.720641i \(-0.743848\pi\)
−0.988737 + 0.149663i \(0.952181\pi\)
\(422\) −32.7356 14.9527i −1.59355 0.727884i
\(423\) −2.02465 + 0.812366i −0.0984420 + 0.0394986i
\(424\) −3.03707 10.3514i −0.147493 0.502709i
\(425\) −5.03098 + 3.86041i −0.244039 + 0.187257i
\(426\) 8.81828 28.1939i 0.427247 1.36600i
\(427\) 0.824431 12.5784i 0.0398970 0.608710i
\(428\) −4.80758 + 8.21107i −0.232383 + 0.396897i
\(429\) −11.4204 + 12.8773i −0.551383 + 0.621721i
\(430\) 10.7629 + 23.9479i 0.519031 + 1.15487i
\(431\) 26.2771 + 26.2771i 1.26572 + 1.26572i 0.948276 + 0.317446i \(0.102825\pi\)
0.317446 + 0.948276i \(0.397175\pi\)
\(432\) −19.8662 + 6.11004i −0.955815 + 0.293969i
\(433\) 7.96187 7.96187i 0.382623 0.382623i −0.489423 0.872046i \(-0.662793\pi\)
0.872046 + 0.489423i \(0.162793\pi\)
\(434\) 15.7541 + 5.98428i 0.756223 + 0.287255i
\(435\) 8.52012 + 7.55621i 0.408508 + 0.362293i
\(436\) −23.9535 3.30209i −1.14716 0.158142i
\(437\) 66.8612 + 4.38231i 3.19840 + 0.209634i
\(438\) −0.811305 + 0.424713i −0.0387657 + 0.0202936i
\(439\) −10.6120 13.8298i −0.506482 0.660060i 0.468209 0.883618i \(-0.344899\pi\)
−0.974691 + 0.223558i \(0.928233\pi\)
\(440\) 6.62285 + 12.6675i 0.315732 + 0.603901i
\(441\) −9.68365 1.38466i −0.461126 0.0659360i
\(442\) 25.1000 9.35981i 1.19389 0.445201i
\(443\) 6.09812 17.9645i 0.289730 0.853518i −0.700447 0.713704i \(-0.747016\pi\)
0.990178 0.139814i \(-0.0446505\pi\)
\(444\) −1.78154 + 0.581685i −0.0845480 + 0.0276056i
\(445\) 6.99530 + 3.44970i 0.331609 + 0.163532i
\(446\) −3.88097 12.9355i −0.183769 0.612515i
\(447\) −0.0551406 + 9.91131i −0.00260806 + 0.468789i
\(448\) −0.729538 15.4526i −0.0344674 0.730065i
\(449\) 13.9051 0.656222 0.328111 0.944639i \(-0.393588\pi\)
0.328111 + 0.944639i \(0.393588\pi\)
\(450\) 3.74201 3.88350i 0.176400 0.183070i
\(451\) 5.60235 3.74337i 0.263805 0.176269i
\(452\) −5.22603 + 25.4615i −0.245812 + 1.19761i
\(453\) 29.5481 25.6235i 1.38829 1.20390i
\(454\) −21.6955 17.9159i −1.01822 0.840834i
\(455\) 8.63112 11.2483i 0.404633 0.527328i
\(456\) 24.0626 + 26.4604i 1.12683 + 1.23912i
\(457\) −2.85077 3.71520i −0.133353 0.173790i 0.721904 0.691994i \(-0.243267\pi\)
−0.855257 + 0.518204i \(0.826601\pi\)
\(458\) −29.8933 1.06975i −1.39682 0.0499864i
\(459\) −21.3104 14.7595i −0.994683 0.688912i
\(460\) 27.9892 + 21.7490i 1.30500 + 1.01405i
\(461\) 17.2752 19.6986i 0.804586 0.917455i −0.193385 0.981123i \(-0.561947\pi\)
0.997971 + 0.0636680i \(0.0202799\pi\)
\(462\) −4.46641 + 11.5640i −0.207796 + 0.538006i
\(463\) 8.21890 + 2.20225i 0.381965 + 0.102347i 0.444692 0.895684i \(-0.353313\pi\)
−0.0627272 + 0.998031i \(0.519980\pi\)
\(464\) 13.3892 2.49412i 0.621579 0.115786i
\(465\) −19.8789 5.44523i −0.921860 0.252517i
\(466\) −3.48290 7.74963i −0.161342 0.358995i
\(467\) 5.06936 25.4854i 0.234582 1.17932i −0.666443 0.745556i \(-0.732184\pi\)
0.901025 0.433767i \(-0.142816\pi\)
\(468\) −19.9228 + 11.0495i −0.920933 + 0.510765i
\(469\) 8.03568 + 5.36927i 0.371053 + 0.247930i
\(470\) 0.445048 + 1.93534i 0.0205285 + 0.0892706i
\(471\) −6.93834 + 16.4906i −0.319702 + 0.759845i
\(472\) 40.7845 0.962212i 1.87726 0.0442894i
\(473\) −19.9623 15.3176i −0.917869 0.704306i
\(474\) 2.77145 5.97925i 0.127297 0.274636i
\(475\) −8.78753 2.98296i −0.403200 0.136868i
\(476\) 14.5831 12.6327i 0.668415 0.579020i
\(477\) −5.17460 + 10.2052i −0.236929 + 0.467264i
\(478\) 5.28380 3.26340i 0.241675 0.149265i
\(479\) 36.0551 + 20.8164i 1.64740 + 0.951126i 0.978101 + 0.208131i \(0.0667381\pi\)
0.669297 + 0.742995i \(0.266595\pi\)
\(480\) 2.69325 + 18.7275i 0.122929 + 0.854787i
\(481\) −1.77897 + 1.02709i −0.0811141 + 0.0468313i
\(482\) 0.310626 0.576907i 0.0141486 0.0262774i
\(483\) 1.83981 + 30.6848i 0.0837141 + 1.39621i
\(484\) 6.87371 + 4.65368i 0.312441 + 0.211531i
\(485\) −5.97862 30.0565i −0.271475 1.36480i
\(486\) 19.7901 + 9.71359i 0.897695 + 0.440617i
\(487\) −24.5238 + 10.1581i −1.11128 + 0.460307i −0.861378 0.507965i \(-0.830398\pi\)
−0.249901 + 0.968271i \(0.580398\pi\)
\(488\) 14.8883 + 10.8760i 0.673960 + 0.492334i
\(489\) −12.2016 16.0860i −0.551776 0.727432i
\(490\) −2.61082 + 8.51329i −0.117945 + 0.384591i
\(491\) 1.91952 29.2862i 0.0866267 1.32167i −0.704364 0.709839i \(-0.748768\pi\)
0.790990 0.611829i \(-0.209566\pi\)
\(492\) 8.64076 2.20768i 0.389555 0.0995300i
\(493\) 12.7709 + 11.1998i 0.575173 + 0.504413i
\(494\) 31.7956 + 22.9313i 1.43055 + 1.03173i
\(495\) 4.08678 14.6003i 0.183687 0.656234i
\(496\) −19.7373 + 14.7665i −0.886233 + 0.663035i
\(497\) −6.03583 22.5260i −0.270744 1.01043i
\(498\) −5.75888 36.8523i −0.258062 1.65139i
\(499\) 0.158570 + 0.467131i 0.00709855 + 0.0209117i 0.950422 0.310964i \(-0.100652\pi\)
−0.943323 + 0.331876i \(0.892319\pi\)
\(500\) −14.6266 19.3040i −0.654120 0.863303i
\(501\) 2.71794 + 1.83803i 0.121429 + 0.0821169i
\(502\) −12.7690 7.99428i −0.569907 0.356802i
\(503\) 3.68287 8.89123i 0.164211 0.396440i −0.820259 0.571992i \(-0.806171\pi\)
0.984470 + 0.175552i \(0.0561709\pi\)
\(504\) −10.6641 + 12.4702i −0.475017 + 0.555466i
\(505\) −1.06214 2.56423i −0.0472646 0.114107i
\(506\) −33.4992 5.63559i −1.48922 0.250533i
\(507\) −1.85422 + 1.60794i −0.0823487 + 0.0714113i
\(508\) −1.01407 17.0636i −0.0449920 0.757077i
\(509\) −9.69808 4.78256i −0.429860 0.211983i 0.214471 0.976730i \(-0.431197\pi\)
−0.644331 + 0.764747i \(0.722864\pi\)
\(510\) −16.2785 + 17.0832i −0.720822 + 0.756455i
\(511\) −0.361464 + 0.626075i −0.0159902 + 0.0276959i
\(512\) 19.6558 + 11.2094i 0.868671 + 0.495390i
\(513\) 0.633105 37.9296i 0.0279523 1.67463i
\(514\) −2.42534 + 10.2603i −0.106977 + 0.452563i
\(515\) 0.0119053 + 0.181640i 0.000524612 + 0.00800403i
\(516\) −18.1790 27.9055i −0.800288 1.22847i
\(517\) −1.25484 1.43087i −0.0551878 0.0629296i
\(518\) −0.942054 + 1.14079i −0.0413915 + 0.0501236i
\(519\) −16.2670 12.6265i −0.714043 0.554243i
\(520\) 7.12739 + 19.4749i 0.312557 + 0.854032i
\(521\) −12.1012 + 29.2148i −0.530162 + 1.27993i 0.401253 + 0.915967i \(0.368575\pi\)
−0.931415 + 0.363958i \(0.881425\pi\)
\(522\) −12.1580 7.80139i −0.532140 0.341458i
\(523\) 1.76318 2.63879i 0.0770986 0.115386i −0.790916 0.611924i \(-0.790396\pi\)
0.868015 + 0.496538i \(0.165396\pi\)
\(524\) −9.25458 + 21.9632i −0.404288 + 0.959466i
\(525\) 0.853799 4.17093i 0.0372629 0.182034i
\(526\) −9.86328 12.0934i −0.430059 0.527295i
\(527\) −29.6956 7.95690i −1.29356 0.346608i
\(528\) −10.7812 14.5789i −0.469192 0.634465i
\(529\) −59.1491 + 15.8489i −2.57170 + 0.689085i
\(530\) 8.44787 + 6.09268i 0.366952 + 0.264649i
\(531\) −32.2131 28.8905i −1.39793 1.25374i
\(532\) 27.2275 + 7.47363i 1.18046 + 0.324023i
\(533\) 8.76720 4.32351i 0.379750 0.187272i
\(534\) −9.44270 2.95342i −0.408626 0.127807i
\(535\) −1.19912 9.10823i −0.0518425 0.393783i
\(536\) −12.9287 + 5.71614i −0.558437 + 0.246900i
\(537\) 20.9228 + 2.87304i 0.902884 + 0.123981i
\(538\) 1.58136 + 2.22103i 0.0681771 + 0.0957556i
\(539\) −1.66487 8.36986i −0.0717110 0.360515i
\(540\) 11.5263 16.4275i 0.496012 0.706926i
\(541\) 1.07970 + 1.61588i 0.0464197 + 0.0694720i 0.853954 0.520349i \(-0.174198\pi\)
−0.807534 + 0.589821i \(0.799198\pi\)
\(542\) 6.27354 0.186249i 0.269472 0.00800010i
\(543\) −3.44727 + 5.89486i −0.147936 + 0.252973i
\(544\) 4.17252 + 27.9106i 0.178895 + 1.19666i
\(545\) 20.2184 11.6731i 0.866059 0.500020i
\(546\) −8.61424 + 15.7877i −0.368655 + 0.675650i
\(547\) 26.0424 1.70691i 1.11349 0.0729823i 0.502470 0.864595i \(-0.332425\pi\)
0.611024 + 0.791612i \(0.290758\pi\)
\(548\) −14.8849 + 12.8942i −0.635853 + 0.550813i
\(549\) −3.60156 19.2216i −0.153711 0.820358i
\(550\) 4.27947 + 1.95473i 0.182477 + 0.0833501i
\(551\) −3.24457 + 24.6449i −0.138223 + 1.04991i
\(552\) −39.3378 21.7759i −1.67433 0.926845i
\(553\) −0.679083 5.15815i −0.0288775 0.219347i
\(554\) 3.08068 + 0.944768i 0.130885 + 0.0401394i
\(555\) 1.01364 1.49890i 0.0430266 0.0636247i
\(556\) −0.0160364 + 2.63270i −0.000680094 + 0.111651i
\(557\) 1.31783 6.62519i 0.0558383 0.280718i −0.942771 0.333441i \(-0.891790\pi\)
0.998609 + 0.0527231i \(0.0167901\pi\)
\(558\) 25.9802 + 2.93114i 1.09983 + 0.124085i
\(559\) −25.8128 25.8128i −1.09177 1.09177i
\(560\) 9.71065 + 11.3488i 0.410350 + 0.479576i
\(561\) 5.97449 21.8110i 0.252243 0.920861i
\(562\) −6.70028 + 5.46471i −0.282634 + 0.230515i
\(563\) 2.54989 + 7.51172i 0.107465 + 0.316581i 0.987339 0.158626i \(-0.0507064\pi\)
−0.879874 + 0.475207i \(0.842373\pi\)
\(564\) −0.936805 2.33836i −0.0394466 0.0984628i
\(565\) −11.0996 22.5078i −0.466965 0.946912i
\(566\) −0.941627 0.0336969i −0.0395796 0.00141638i
\(567\) 17.3009 1.88711i 0.726569 0.0792511i
\(568\) 32.5501 + 10.1997i 1.36577 + 0.427968i
\(569\) 16.3889 + 2.15764i 0.687059 + 0.0904531i 0.465970 0.884801i \(-0.345705\pi\)
0.221089 + 0.975254i \(0.429039\pi\)
\(570\) −34.0210 5.91820i −1.42498 0.247886i
\(571\) 4.12408 + 4.70261i 0.172587 + 0.196798i 0.831666 0.555275i \(-0.187387\pi\)
−0.659079 + 0.752073i \(0.729054\pi\)
\(572\) −14.8624 13.1950i −0.621429 0.551711i
\(573\) −16.0502 + 32.0952i −0.670506 + 1.34080i
\(574\) 4.82844 5.12391i 0.201535 0.213868i
\(575\) 11.6665 0.486526
\(576\) −7.04315 22.9433i −0.293465 0.955970i
\(577\) 5.36862 0.223499 0.111749 0.993736i \(-0.464355\pi\)
0.111749 + 0.993736i \(0.464355\pi\)
\(578\) −7.65037 + 8.11852i −0.318214 + 0.337686i
\(579\) 23.1343 + 35.0434i 0.961430 + 1.45636i
\(580\) −8.73035 + 9.83358i −0.362508 + 0.408317i
\(581\) −19.4149 22.1385i −0.805466 0.918458i
\(582\) 13.3794 + 36.4984i 0.554596 + 1.51291i
\(583\) −9.89660 1.30291i −0.409875 0.0539611i
\(584\) −0.489922 0.937074i −0.0202731 0.0387764i
\(585\) 8.64315 20.2269i 0.357350 0.836279i
\(586\) −36.5340 1.30740i −1.50921 0.0540081i
\(587\) −5.78099 11.7227i −0.238607 0.483847i 0.744325 0.667818i \(-0.232771\pi\)
−0.982932 + 0.183971i \(0.941105\pi\)
\(588\) 1.60477 11.1809i 0.0661794 0.461091i
\(589\) −14.4614 42.6018i −0.595870 1.75538i
\(590\) −30.5240 + 24.8953i −1.25666 + 1.02492i
\(591\) 32.1348 8.41917i 1.32185 0.346318i
\(592\) −0.670586 2.05750i −0.0275609 0.0845626i
\(593\) −15.5840 15.5840i −0.639957 0.639957i 0.310588 0.950545i \(-0.399474\pi\)
−0.950545 + 0.310588i \(0.899474\pi\)
\(594\) −2.26242 + 19.0986i −0.0928283 + 0.783626i
\(595\) −3.63423 + 18.2705i −0.148989 + 0.749018i
\(596\) −11.4446 0.0697114i −0.468787 0.00285549i
\(597\) 9.51052 + 19.5590i 0.389240 + 0.800496i
\(598\) −47.1174 14.4498i −1.92678 0.590895i
\(599\) 0.632437 + 4.80383i 0.0258407 + 0.196279i 0.999496 0.0317455i \(-0.0101066\pi\)
−0.973655 + 0.228025i \(0.926773\pi\)
\(600\) 4.48199 + 4.32326i 0.182977 + 0.176496i
\(601\) 2.89811 22.0133i 0.118216 0.897942i −0.824853 0.565347i \(-0.808742\pi\)
0.943070 0.332595i \(-0.107924\pi\)
\(602\) −23.9152 10.9238i −0.974711 0.445219i
\(603\) 14.1433 + 4.97717i 0.575959 + 0.202686i
\(604\) 29.5695 + 34.1348i 1.20317 + 1.38892i
\(605\) −7.99745 + 0.524180i −0.325142 + 0.0213110i
\(606\) 1.83336 + 3.00568i 0.0744752 + 0.122097i
\(607\) −29.8764 + 17.2492i −1.21265 + 0.700122i −0.963335 0.268301i \(-0.913538\pi\)
−0.249312 + 0.968423i \(0.580204\pi\)
\(608\) −30.5685 + 27.7689i −1.23972 + 1.12618i
\(609\) −11.4038 0.0634440i −0.462106 0.00257088i
\(610\) −17.7940 + 0.528269i −0.720457 + 0.0213890i
\(611\) −1.53398 2.29577i −0.0620582 0.0928767i
\(612\) 17.0557 24.5981i 0.689437 0.994320i
\(613\) −4.84830 24.3740i −0.195821 0.984458i −0.946232 0.323487i \(-0.895145\pi\)
0.750412 0.660971i \(-0.229855\pi\)
\(614\) 8.68284 + 12.1952i 0.350411 + 0.492157i
\(615\) −5.27983 + 6.80211i −0.212903 + 0.274288i
\(616\) −13.3502 5.16441i −0.537896 0.208080i
\(617\) −0.584497 4.43970i −0.0235310 0.178735i 0.975643 0.219363i \(-0.0703978\pi\)
−0.999174 + 0.0406271i \(0.987064\pi\)
\(618\) −0.0504949 0.225315i −0.00203120 0.00906349i
\(619\) −31.2516 + 15.4116i −1.25611 + 0.619444i −0.943794 0.330535i \(-0.892771\pi\)
−0.312314 + 0.949979i \(0.601104\pi\)
\(620\) 6.29973 22.9508i 0.253003 0.921726i
\(621\) 14.5737 + 45.4089i 0.584823 + 1.82220i
\(622\) 22.5345 + 16.2521i 0.903550 + 0.651649i
\(623\) −7.54441 + 2.02152i −0.302261 + 0.0809905i
\(624\) −12.7468 23.0116i −0.510279 0.921203i
\(625\) 16.4483 + 4.40731i 0.657932 + 0.176292i
\(626\) 25.0531 + 30.7176i 1.00132 + 1.22772i
\(627\) 31.3964 10.4632i 1.25385 0.417860i
\(628\) −19.0374 8.02176i −0.759676 0.320103i
\(629\) 1.49946 2.24410i 0.0597873 0.0894780i
\(630\) 0.742688 15.8249i 0.0295894 0.630479i
\(631\) 8.97528 21.6683i 0.357300 0.862600i −0.638377 0.769724i \(-0.720394\pi\)
0.995678 0.0928759i \(-0.0296060\pi\)
\(632\) 6.90255 + 3.20384i 0.274569 + 0.127442i
\(633\) −40.8153 + 16.6408i −1.62226 + 0.661414i
\(634\) 2.67822 3.24323i 0.106366 0.128805i
\(635\) 10.8820 + 12.4086i 0.431839 + 0.492418i
\(636\) −11.7808 5.98133i −0.467139 0.237175i
\(637\) −0.809746 12.3543i −0.0320833 0.489497i
\(638\) 2.89904 12.2643i 0.114774 0.485548i
\(639\) −17.7402 31.5321i −0.701792 1.24739i
\(640\) −21.6262 + 3.09848i −0.854852 + 0.122478i
\(641\) 1.31746 2.28191i 0.0520366 0.0901300i −0.838834 0.544388i \(-0.816762\pi\)
0.890870 + 0.454258i \(0.150095\pi\)
\(642\) 3.28668 + 11.1803i 0.129715 + 0.441252i
\(643\) 15.8145 + 7.79884i 0.623663 + 0.307556i 0.726526 0.687139i \(-0.241134\pi\)
−0.102863 + 0.994696i \(0.532800\pi\)
\(644\) −35.4329 + 2.10572i −1.39625 + 0.0829771i
\(645\) 30.3915 + 10.5055i 1.19667 + 0.413652i
\(646\) −50.7933 8.54499i −1.99843 0.336198i
\(647\) 7.37914 + 17.8148i 0.290104 + 0.700373i 0.999992 0.00394129i \(-0.00125455\pi\)
−0.709888 + 0.704314i \(0.751255\pi\)
\(648\) −11.2283 + 22.8457i −0.441091 + 0.897462i
\(649\) 14.4458 34.8753i 0.567048 1.36898i
\(650\) 5.78536 + 3.62204i 0.226920 + 0.142068i
\(651\) 18.5619 9.02568i 0.727498 0.353744i
\(652\) 18.5819 14.0794i 0.727723 0.551392i
\(653\) 3.13049 + 9.22212i 0.122505 + 0.360889i 0.990831 0.135105i \(-0.0431371\pi\)
−0.868326 + 0.495994i \(0.834804\pi\)
\(654\) −23.0531 + 18.5894i −0.901448 + 0.726903i
\(655\) −5.95579 22.2273i −0.232712 0.868493i
\(656\) 2.54394 + 9.97883i 0.0993243 + 0.389608i
\(657\) −0.302317 + 1.08005i −0.0117945 + 0.0421366i
\(658\) −1.61291 1.16325i −0.0628779 0.0453481i
\(659\) 9.87358 + 8.65890i 0.384620 + 0.337303i 0.829722 0.558177i \(-0.188499\pi\)
−0.445102 + 0.895480i \(0.646832\pi\)
\(660\) 16.8565 + 4.72790i 0.656137 + 0.184033i
\(661\) −1.40949 + 21.5047i −0.0548229 + 0.836436i 0.878578 + 0.477600i \(0.158493\pi\)
−0.933400 + 0.358836i \(0.883174\pi\)
\(662\) −11.8580 + 38.6662i −0.460874 + 1.50281i
\(663\) 12.7239 30.2412i 0.494154 1.17447i
\(664\) 42.5568 6.62732i 1.65153 0.257190i
\(665\) −25.1858 + 10.4323i −0.976662 + 0.404546i
\(666\) −0.976816 + 2.07706i −0.0378508 + 0.0804845i
\(667\) −6.09657 30.6495i −0.236060 1.18676i
\(668\) −2.12402 + 3.13729i −0.0821810 + 0.121385i
\(669\) −14.7937 7.39805i −0.571958 0.286025i
\(670\) 6.47049 12.0173i 0.249977 0.464267i
\(671\) 14.7749 8.53027i 0.570377 0.329307i
\(672\) −14.3928 12.3214i −0.555215 0.475310i
\(673\) −7.97736 4.60573i −0.307505 0.177538i 0.338305 0.941037i \(-0.390147\pi\)
−0.645809 + 0.763499i \(0.723480\pi\)
\(674\) −12.0971 + 7.47145i −0.465962 + 0.287790i
\(675\) −0.321932 6.59716i −0.0123912 0.253925i
\(676\) −1.85556 2.14204i −0.0713678 0.0823863i
\(677\) −6.68930 2.27071i −0.257091 0.0872705i 0.189919 0.981800i \(-0.439178\pi\)
−0.447009 + 0.894529i \(0.647511\pi\)
\(678\) 18.3191 + 26.0348i 0.703541 + 0.999860i
\(679\) 24.3466 + 18.6818i 0.934335 + 0.716941i
\(680\) −19.7160 18.8071i −0.756074 0.721221i
\(681\) −34.1900 + 4.30782i −1.31016 + 0.165076i
\(682\) 5.11163 + 22.2285i 0.195734 + 0.851173i
\(683\) 7.07864 + 4.72980i 0.270857 + 0.180981i 0.683580 0.729876i \(-0.260422\pi\)
−0.412723 + 0.910857i \(0.635422\pi\)
\(684\) 43.7970 + 0.754163i 1.67462 + 0.0288362i
\(685\) 3.70946 18.6487i 0.141731 0.712530i
\(686\) −11.5026 25.5939i −0.439173 0.977181i
\(687\) −26.0486 + 25.7604i −0.993818 + 0.982821i
\(688\) 32.2336 20.9743i 1.22889 0.799639i
\(689\) −13.9884 3.74817i −0.532915 0.142794i
\(690\) 42.8917 6.70265i 1.63286 0.255166i
\(691\) 28.0288 31.9607i 1.06627 1.21584i 0.0907589 0.995873i \(-0.471071\pi\)
0.975507 0.219970i \(-0.0705959\pi\)
\(692\) 14.5898 18.7759i 0.554620 0.713751i
\(693\) 6.56318 + 13.6908i 0.249315 + 0.520069i
\(694\) −1.18316 0.0423402i −0.0449121 0.00160721i
\(695\) −1.54744 2.01667i −0.0586979 0.0764966i
\(696\) 9.01568 14.0341i 0.341738 0.531960i
\(697\) −7.81869 + 10.1895i −0.296154 + 0.385956i
\(698\) 17.1715 + 14.1800i 0.649949 + 0.536721i
\(699\) −9.83483 3.39961i −0.371987 0.128585i
\(700\) 4.81566 + 0.988425i 0.182015 + 0.0373589i
\(701\) 35.2010 23.5205i 1.32952 0.888358i 0.331049 0.943613i \(-0.392597\pi\)
0.998472 + 0.0552554i \(0.0175973\pi\)
\(702\) −6.87087 + 27.0427i −0.259324 + 1.02066i
\(703\) 3.94964 0.148964
\(704\) 16.8408 12.4402i 0.634713 0.468857i
\(705\) 2.09952 + 1.22778i 0.0790724 + 0.0462409i
\(706\) 4.59843 + 15.3269i 0.173064 + 0.576834i
\(707\) 2.49275 + 1.22929i 0.0937495 + 0.0462321i
\(708\) 33.3795 37.1789i 1.25448 1.39727i
\(709\) −15.8252 + 46.6194i −0.594326 + 1.75083i 0.0638450 + 0.997960i \(0.479664\pi\)
−0.658171 + 0.752868i \(0.728670\pi\)
\(710\) −30.8587 + 11.5072i −1.15811 + 0.431858i
\(711\) −3.00565 7.49096i −0.112721 0.280933i
\(712\) 3.41607 10.9017i 0.128023 0.408558i
\(713\) 34.4309 + 44.8712i 1.28945 + 1.68044i
\(714\) 0.976442 23.6098i 0.0365424 0.883576i
\(715\) 19.1481 + 1.25503i 0.716099 + 0.0469356i
\(716\) −3.33025 + 24.1578i −0.124457 + 0.902818i
\(717\) 1.52535 7.45156i 0.0569653 0.278284i
\(718\) 37.8142 + 14.3639i 1.41121 + 0.536056i
\(719\) −21.5693 + 21.5693i −0.804399 + 0.804399i −0.983780 0.179381i \(-0.942591\pi\)
0.179381 + 0.983780i \(0.442591\pi\)
\(720\) 18.9618 + 13.3194i 0.706664 + 0.496385i
\(721\) −0.128894 0.128894i −0.00480028 0.00480028i
\(722\) −19.8838 44.2424i −0.739998 1.64653i
\(723\) −0.253715 0.761310i −0.00943577 0.0283134i
\(724\) −6.80469 3.98415i −0.252894 0.148070i
\(725\) −0.283069 + 4.31880i −0.0105129 + 0.160396i
\(726\) 9.92038 2.22324i 0.368180 0.0825122i
\(727\) 33.3403 25.5829i 1.23652 0.948816i 0.236780 0.971563i \(-0.423908\pi\)
0.999741 + 0.0227469i \(0.00724119\pi\)
\(728\) −18.2248 9.95649i −0.675455 0.369012i
\(729\) 25.2757 9.49419i 0.936136 0.351637i
\(730\) 0.928659 + 0.424183i 0.0343712 + 0.0156997i
\(731\) 45.4177 + 15.4172i 1.67984 + 0.570227i
\(732\) 22.1974 4.14701i 0.820439 0.153278i
\(733\) −20.6298 + 41.8330i −0.761978 + 1.54514i 0.0745524 + 0.997217i \(0.476247\pi\)
−0.836530 + 0.547921i \(0.815419\pi\)
\(734\) −5.66345 3.04939i −0.209042 0.112555i
\(735\) 5.40032 + 9.47498i 0.199194 + 0.349490i
\(736\) 25.1686 45.4101i 0.927729 1.67384i
\(737\) 13.0802i 0.481814i
\(738\) 5.28491 9.55900i 0.194540 0.351872i
\(739\) −9.68897 14.5006i −0.356414 0.533412i 0.609327 0.792919i \(-0.291440\pi\)
−0.965741 + 0.259507i \(0.916440\pi\)
\(740\) 1.73016 + 1.17136i 0.0636020 + 0.0430602i
\(741\) 47.1414 9.10467i 1.73178 0.334468i
\(742\) −10.3831 + 0.990727i −0.381176 + 0.0363707i
\(743\) −32.8763 25.2269i −1.20611 0.925484i −0.207506 0.978234i \(-0.566535\pi\)
−0.998608 + 0.0527500i \(0.983201\pi\)
\(744\) −3.40043 + 29.9976i −0.124666 + 1.09977i
\(745\) 8.76662 6.72686i 0.321184 0.246453i
\(746\) −11.0494 11.8695i −0.404546 0.434575i
\(747\) −37.6988 25.8008i −1.37933 0.944003i
\(748\) 25.1815 + 6.91204i 0.920728 + 0.252729i
\(749\) 6.91666 + 6.06575i 0.252729 + 0.221638i
\(750\) −29.4937 3.16147i −1.07696 0.115441i
\(751\) 7.11009 26.5352i 0.259451 0.968284i −0.706109 0.708103i \(-0.749551\pi\)
0.965560 0.260181i \(-0.0837821\pi\)
\(752\) 2.70068 1.08030i 0.0984836 0.0393946i
\(753\) −17.8484 + 4.67620i −0.650432 + 0.170410i
\(754\) 6.49238 17.0918i 0.236438 0.622445i
\(755\) −42.7659 8.50668i −1.55641 0.309590i
\(756\) 2.16850 + 19.9785i 0.0788676 + 0.726611i
\(757\) −13.7509 + 20.5797i −0.499785 + 0.747982i −0.992505 0.122207i \(-0.961003\pi\)
0.492719 + 0.870188i \(0.336003\pi\)
\(758\) −8.42389 5.27396i −0.305970 0.191559i
\(759\) −33.1474 + 25.1432i −1.20318 + 0.912639i
\(760\) 6.85448 39.2805i 0.248638 1.42485i
\(761\) −18.4530 + 24.0484i −0.668919 + 0.871752i −0.997348 0.0727763i \(-0.976814\pi\)
0.328429 + 0.944529i \(0.393481\pi\)
\(762\) −16.0684 13.4202i −0.582097 0.486161i
\(763\) −7.51485 + 22.1380i −0.272056 + 0.801451i
\(764\) −37.0505 18.5527i −1.34044 0.671214i
\(765\) 1.56919 + 28.8578i 0.0567342 + 1.04335i
\(766\) −1.82329 + 7.71337i −0.0658782 + 0.278695i
\(767\) 27.3829 47.4285i 0.988738 1.71254i
\(768\) 26.4969 8.11875i 0.956125 0.292960i
\(769\) −8.22699 14.2496i −0.296673 0.513853i 0.678700 0.734416i \(-0.262544\pi\)
−0.975373 + 0.220563i \(0.929210\pi\)
\(770\) 13.2377 3.97163i 0.477054 0.143128i
\(771\) 7.11401 + 10.7762i 0.256205 + 0.388094i
\(772\) −40.4788 + 26.6919i −1.45686 + 0.960661i