Properties

Label 576.2.bm.a.205.83
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 205.83
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.83

$q$-expansion

\(f(q)\) \(=\) \(q+(1.30543 - 0.543929i) q^{2} +(1.15779 + 1.28823i) q^{3} +(1.40828 - 1.42012i) q^{4} +(-0.183842 - 0.209632i) q^{5} +(2.21211 + 1.05194i) q^{6} +(1.21328 + 0.159731i) q^{7} +(1.06596 - 2.61987i) q^{8} +(-0.319065 + 2.98298i) q^{9} +O(q^{10})\) \(q+(1.30543 - 0.543929i) q^{2} +(1.15779 + 1.28823i) q^{3} +(1.40828 - 1.42012i) q^{4} +(-0.183842 - 0.209632i) q^{5} +(2.21211 + 1.05194i) q^{6} +(1.21328 + 0.159731i) q^{7} +(1.06596 - 2.61987i) q^{8} +(-0.319065 + 2.98298i) q^{9} +(-0.354018 - 0.173662i) q^{10} +(-0.510235 - 1.03465i) q^{11} +(3.45993 + 0.169994i) q^{12} +(-0.0481770 - 0.141925i) q^{13} +(1.67073 - 0.451419i) q^{14} +(0.0572040 - 0.479540i) q^{15} +(-0.0334850 - 3.99986i) q^{16} +(2.67303 + 2.67303i) q^{17} +(1.20602 + 4.06762i) q^{18} +(0.709222 - 3.56550i) q^{19} +(-0.556605 - 0.0341426i) q^{20} +(1.19894 + 1.74791i) q^{21} +(-1.22885 - 1.07313i) q^{22} +(0.854444 + 6.49015i) q^{23} +(4.60915 - 1.66004i) q^{24} +(0.642483 - 4.88015i) q^{25} +(-0.140089 - 0.159068i) q^{26} +(-4.21218 + 3.04263i) q^{27} +(1.93547 - 1.49805i) q^{28} +(-5.01085 + 0.328428i) q^{29} +(-0.186160 - 0.657120i) q^{30} +(-7.19242 + 4.15254i) q^{31} +(-2.21935 - 5.20331i) q^{32} +(0.742129 - 1.85521i) q^{33} +(4.94339 + 2.03551i) q^{34} +(-0.189567 - 0.283707i) q^{35} +(3.78686 + 4.65399i) q^{36} +(0.345024 + 1.73455i) q^{37} +(-1.01354 - 5.04027i) q^{38} +(0.127053 - 0.226382i) q^{39} +(-0.745178 + 0.258183i) q^{40} +(-0.636262 - 4.83289i) q^{41} +(2.51587 + 1.62963i) q^{42} +(5.19198 - 2.56040i) q^{43} +(-2.18789 - 0.732490i) q^{44} +(0.683987 - 0.481513i) q^{45} +(4.64560 + 8.00766i) q^{46} +(-7.62894 + 2.04417i) q^{47} +(5.11397 - 4.67412i) q^{48} +(-5.31496 - 1.42414i) q^{49} +(-1.81574 - 6.72014i) q^{50} +(-0.348679 + 6.53828i) q^{51} +(-0.269397 - 0.131453i) q^{52} +(-0.478068 + 0.715480i) q^{53} +(-3.84372 + 6.26305i) q^{54} +(-0.123094 + 0.297175i) q^{55} +(1.71178 - 3.00836i) q^{56} +(5.41430 - 3.21444i) q^{57} +(-6.36266 + 3.15429i) q^{58} +(5.66055 + 6.45461i) q^{59} +(-0.600445 - 0.756564i) q^{60} +(-0.723344 - 11.0361i) q^{61} +(-7.13049 + 9.33301i) q^{62} +(-0.863589 + 3.56822i) q^{63} +(-5.72744 - 5.58538i) q^{64} +(-0.0208950 + 0.0361913i) q^{65} +(-0.0403067 - 2.82551i) q^{66} +(1.14588 + 0.565086i) q^{67} +(7.56042 - 0.0316457i) q^{68} +(-7.37153 + 8.61492i) q^{69} +(-0.401782 - 0.267248i) q^{70} +(-1.43389 - 3.46171i) q^{71} +(7.47492 + 4.01567i) q^{72} +(-1.96115 + 4.73463i) q^{73} +(1.39388 + 2.07667i) q^{74} +(7.03060 - 4.82250i) q^{75} +(-4.06465 - 6.02841i) q^{76} +(-0.453790 - 1.33682i) q^{77} +(0.0427230 - 0.364633i) q^{78} +(-0.0723923 - 0.270172i) q^{79} +(-0.832343 + 0.742363i) q^{80} +(-8.79639 - 1.90353i) q^{81} +(-3.45934 - 5.96290i) q^{82} +(0.835637 + 0.732834i) q^{83} +(4.17069 + 0.758906i) q^{84} +(0.0689367 - 1.05177i) q^{85} +(5.38507 - 6.16649i) q^{86} +(-6.22458 - 6.07487i) q^{87} +(-3.25455 + 0.233845i) q^{88} +(-16.2958 + 6.74994i) q^{89} +(0.630986 - 1.00062i) q^{90} +(-0.0357822 - 0.179889i) q^{91} +(10.4201 + 7.92654i) q^{92} +(-13.6767 - 4.45772i) q^{93} +(-8.84714 + 6.81812i) q^{94} +(-0.877828 + 0.506814i) q^{95} +(4.13352 - 8.88336i) q^{96} +(7.35415 + 4.24592i) q^{97} +(-7.71292 + 1.03185i) q^{98} +(3.24916 - 1.19190i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.30543 0.543929i 0.923077 0.384616i
\(3\) 1.15779 + 1.28823i 0.668448 + 0.743759i
\(4\) 1.40828 1.42012i 0.704141 0.710060i
\(5\) −0.183842 0.209632i −0.0822168 0.0937503i 0.709269 0.704938i \(-0.249025\pi\)
−0.791486 + 0.611188i \(0.790692\pi\)
\(6\) 2.21211 + 1.05194i 0.903090 + 0.429451i
\(7\) 1.21328 + 0.159731i 0.458575 + 0.0603725i 0.356275 0.934381i \(-0.384047\pi\)
0.102300 + 0.994754i \(0.467380\pi\)
\(8\) 1.06596 2.61987i 0.376875 0.926264i
\(9\) −0.319065 + 2.98298i −0.106355 + 0.994328i
\(10\) −0.354018 0.173662i −0.111950 0.0549168i
\(11\) −0.510235 1.03465i −0.153842 0.311960i 0.806284 0.591529i \(-0.201475\pi\)
−0.960126 + 0.279568i \(0.909809\pi\)
\(12\) 3.45993 + 0.169994i 0.998795 + 0.0490730i
\(13\) −0.0481770 0.141925i −0.0133619 0.0393629i 0.940045 0.341051i \(-0.110783\pi\)
−0.953407 + 0.301689i \(0.902450\pi\)
\(14\) 1.67073 0.451419i 0.446520 0.120647i
\(15\) 0.0572040 0.479540i 0.0147700 0.123817i
\(16\) −0.0334850 3.99986i −0.00837126 0.999965i
\(17\) 2.67303 + 2.67303i 0.648306 + 0.648306i 0.952583 0.304277i \(-0.0984150\pi\)
−0.304277 + 0.952583i \(0.598415\pi\)
\(18\) 1.20602 + 4.06762i 0.284261 + 0.958747i
\(19\) 0.709222 3.56550i 0.162707 0.817982i −0.810087 0.586309i \(-0.800580\pi\)
0.972794 0.231672i \(-0.0744197\pi\)
\(20\) −0.556605 0.0341426i −0.124461 0.00763453i
\(21\) 1.19894 + 1.74791i 0.261631 + 0.381425i
\(22\) −1.22885 1.07313i −0.261993 0.228793i
\(23\) 0.854444 + 6.49015i 0.178164 + 1.35329i 0.813730 + 0.581243i \(0.197433\pi\)
−0.635566 + 0.772046i \(0.719233\pi\)
\(24\) 4.60915 1.66004i 0.940839 0.338855i
\(25\) 0.642483 4.88015i 0.128497 0.976029i
\(26\) −0.140089 0.159068i −0.0274737 0.0311958i
\(27\) −4.21218 + 3.04263i −0.810634 + 0.585554i
\(28\) 1.93547 1.49805i 0.365770 0.283105i
\(29\) −5.01085 + 0.328428i −0.930491 + 0.0609876i −0.523105 0.852268i \(-0.675226\pi\)
−0.407386 + 0.913256i \(0.633560\pi\)
\(30\) −0.186160 0.657120i −0.0339881 0.119973i
\(31\) −7.19242 + 4.15254i −1.29180 + 0.745819i −0.978972 0.203993i \(-0.934608\pi\)
−0.312823 + 0.949811i \(0.601275\pi\)
\(32\) −2.21935 5.20331i −0.392330 0.919825i
\(33\) 0.742129 1.85521i 0.129188 0.322950i
\(34\) 4.94339 + 2.03551i 0.847785 + 0.349087i
\(35\) −0.189567 0.283707i −0.0320426 0.0479552i
\(36\) 3.78686 + 4.65399i 0.631144 + 0.775666i
\(37\) 0.345024 + 1.73455i 0.0567216 + 0.285159i 0.998727 0.0504384i \(-0.0160619\pi\)
−0.942006 + 0.335597i \(0.891062\pi\)
\(38\) −1.01354 5.04027i −0.164418 0.817639i
\(39\) 0.127053 0.226382i 0.0203448 0.0362501i
\(40\) −0.745178 + 0.258183i −0.117823 + 0.0408223i
\(41\) −0.636262 4.83289i −0.0993674 0.754770i −0.966495 0.256685i \(-0.917370\pi\)
0.867128 0.498086i \(-0.165964\pi\)
\(42\) 2.51587 + 1.62963i 0.388208 + 0.251457i
\(43\) 5.19198 2.56040i 0.791769 0.390457i −0.000984401 1.00000i \(-0.500313\pi\)
0.792754 + 0.609542i \(0.208647\pi\)
\(44\) −2.18789 0.732490i −0.329837 0.110427i
\(45\) 0.683987 0.481513i 0.101963 0.0717797i
\(46\) 4.64560 + 8.00766i 0.684956 + 1.18067i
\(47\) −7.62894 + 2.04417i −1.11279 + 0.298173i −0.767964 0.640492i \(-0.778730\pi\)
−0.344831 + 0.938665i \(0.612064\pi\)
\(48\) 5.11397 4.67412i 0.738137 0.674651i
\(49\) −5.31496 1.42414i −0.759280 0.203448i
\(50\) −1.81574 6.72014i −0.256784 0.950372i
\(51\) −0.348679 + 6.53828i −0.0488248 + 0.915542i
\(52\) −0.269397 0.131453i −0.0373587 0.0182293i
\(53\) −0.478068 + 0.715480i −0.0656678 + 0.0982787i −0.862850 0.505460i \(-0.831323\pi\)
0.797182 + 0.603739i \(0.206323\pi\)
\(54\) −3.84372 + 6.26305i −0.523063 + 0.852294i
\(55\) −0.123094 + 0.297175i −0.0165980 + 0.0400711i
\(56\) 1.71178 3.00836i 0.228747 0.402009i
\(57\) 5.41430 3.21444i 0.717142 0.425763i
\(58\) −6.36266 + 3.15429i −0.835458 + 0.414178i
\(59\) 5.66055 + 6.45461i 0.736940 + 0.840319i 0.991951 0.126619i \(-0.0404125\pi\)
−0.255011 + 0.966938i \(0.582079\pi\)
\(60\) −0.600445 0.756564i −0.0775171 0.0976720i
\(61\) −0.723344 11.0361i −0.0926147 1.41303i −0.750978 0.660327i \(-0.770418\pi\)
0.658363 0.752701i \(-0.271249\pi\)
\(62\) −7.13049 + 9.33301i −0.905573 + 1.18529i
\(63\) −0.863589 + 3.56822i −0.108802 + 0.449553i
\(64\) −5.72744 5.58538i −0.715930 0.698172i
\(65\) −0.0208950 + 0.0361913i −0.00259171 + 0.00448897i
\(66\) −0.0403067 2.82551i −0.00496141 0.347796i
\(67\) 1.14588 + 0.565086i 0.139992 + 0.0690363i 0.510935 0.859619i \(-0.329299\pi\)
−0.370944 + 0.928655i \(0.620966\pi\)
\(68\) 7.56042 0.0316457i 0.916835 0.00383760i
\(69\) −7.37153 + 8.61492i −0.887428 + 1.03711i
\(70\) −0.401782 0.267248i −0.0480221 0.0319422i
\(71\) −1.43389 3.46171i −0.170171 0.410829i 0.815669 0.578519i \(-0.196369\pi\)
−0.985840 + 0.167690i \(0.946369\pi\)
\(72\) 7.47492 + 4.01567i 0.880928 + 0.473251i
\(73\) −1.96115 + 4.73463i −0.229535 + 0.554146i −0.996121 0.0879953i \(-0.971954\pi\)
0.766586 + 0.642142i \(0.221954\pi\)
\(74\) 1.39388 + 2.07667i 0.162035 + 0.241407i
\(75\) 7.03060 4.82250i 0.811824 0.556854i
\(76\) −4.06465 6.02841i −0.466248 0.691506i
\(77\) −0.453790 1.33682i −0.0517141 0.152345i
\(78\) 0.0427230 0.364633i 0.00483742 0.0412865i
\(79\) −0.0723923 0.270172i −0.00814477 0.0303967i 0.961734 0.273985i \(-0.0883420\pi\)
−0.969879 + 0.243589i \(0.921675\pi\)
\(80\) −0.832343 + 0.742363i −0.0930588 + 0.0829987i
\(81\) −8.79639 1.90353i −0.977377 0.211504i
\(82\) −3.45934 5.96290i −0.382021 0.658493i
\(83\) 0.835637 + 0.732834i 0.0917231 + 0.0804390i 0.703980 0.710220i \(-0.251405\pi\)
−0.612256 + 0.790659i \(0.709738\pi\)
\(84\) 4.17069 + 0.758906i 0.455060 + 0.0828034i
\(85\) 0.0689367 1.05177i 0.00747723 0.114081i
\(86\) 5.38507 6.16649i 0.580688 0.664949i
\(87\) −6.22458 6.07487i −0.667345 0.651294i
\(88\) −3.25455 + 0.233845i −0.346937 + 0.0249280i
\(89\) −16.2958 + 6.74994i −1.72735 + 0.715493i −0.727793 + 0.685797i \(0.759454\pi\)
−0.999559 + 0.0296960i \(0.990546\pi\)
\(90\) 0.630986 1.00062i 0.0665118 0.105475i
\(91\) −0.0357822 0.179889i −0.00375099 0.0188575i
\(92\) 10.4201 + 7.92654i 1.08637 + 0.826399i
\(93\) −13.6767 4.45772i −1.41821 0.462244i
\(94\) −8.84714 + 6.81812i −0.912513 + 0.703235i
\(95\) −0.877828 + 0.506814i −0.0900632 + 0.0519980i
\(96\) 4.13352 8.88336i 0.421876 0.906654i
\(97\) 7.35415 + 4.24592i 0.746700 + 0.431108i 0.824500 0.565861i \(-0.191456\pi\)
−0.0778000 + 0.996969i \(0.524790\pi\)
\(98\) −7.71292 + 1.03185i −0.779123 + 0.104233i
\(99\) 3.24916 1.19190i 0.326553 0.119791i
\(100\) −6.02560 7.78502i −0.602560 0.778502i
\(101\) −3.88905 1.32015i −0.386975 0.131360i 0.121170 0.992632i \(-0.461335\pi\)
−0.508145 + 0.861271i \(0.669669\pi\)
\(102\) 3.10119 + 8.72491i 0.307063 + 0.863895i
\(103\) 0.396253 + 0.304056i 0.0390440 + 0.0299595i 0.628099 0.778133i \(-0.283833\pi\)
−0.589055 + 0.808093i \(0.700500\pi\)
\(104\) −0.423180 0.0250694i −0.0414962 0.00245825i
\(105\) 0.146001 0.572677i 0.0142483 0.0558875i
\(106\) −0.234913 + 1.19404i −0.0228168 + 0.115976i
\(107\) 8.81592 + 5.89061i 0.852267 + 0.569467i 0.903193 0.429236i \(-0.141217\pi\)
−0.0509252 + 0.998702i \(0.516217\pi\)
\(108\) −1.61103 + 10.2667i −0.155022 + 0.987911i
\(109\) 3.27783 16.4787i 0.313959 1.57838i −0.425361 0.905024i \(-0.639853\pi\)
0.739320 0.673354i \(-0.235147\pi\)
\(110\) 0.000952023 0.454895i 9.07719e−5 0.0433725i
\(111\) −1.83504 + 2.45271i −0.174174 + 0.232801i
\(112\) 0.598274 4.85828i 0.0565316 0.459064i
\(113\) −2.24672 0.602006i −0.211353 0.0566320i 0.151589 0.988444i \(-0.451561\pi\)
−0.362942 + 0.931812i \(0.618228\pi\)
\(114\) 5.31955 7.14122i 0.498222 0.668837i
\(115\) 1.20346 1.37228i 0.112223 0.127966i
\(116\) −6.59028 + 7.57853i −0.611892 + 0.703649i
\(117\) 0.438731 0.0984279i 0.0405607 0.00909967i
\(118\) 10.9003 + 5.34709i 1.00345 + 0.492240i
\(119\) 2.81616 + 3.67009i 0.258157 + 0.336437i
\(120\) −1.19535 0.661039i −0.109120 0.0603444i
\(121\) 5.88621 7.67105i 0.535110 0.697368i
\(122\) −6.94713 14.0134i −0.628964 1.26871i
\(123\) 5.48921 6.41510i 0.494945 0.578430i
\(124\) −4.23184 + 16.0620i −0.380030 + 1.44241i
\(125\) −2.30032 + 1.53703i −0.205747 + 0.137476i
\(126\) 0.813506 + 5.12778i 0.0724729 + 0.456819i
\(127\) −5.65668 −0.501949 −0.250975 0.967994i \(-0.580751\pi\)
−0.250975 + 0.967994i \(0.580751\pi\)
\(128\) −10.5148 4.17598i −0.929386 0.369108i
\(129\) 9.30958 + 3.72406i 0.819663 + 0.327885i
\(130\) −0.00759146 + 0.0586105i −0.000665815 + 0.00514048i
\(131\) 12.3238 + 6.07744i 1.07674 + 0.530989i 0.892109 0.451820i \(-0.149225\pi\)
0.184629 + 0.982808i \(0.440892\pi\)
\(132\) −1.58949 3.66657i −0.138348 0.319134i
\(133\) 1.43000 4.21265i 0.123997 0.365283i
\(134\) 1.80323 + 0.114400i 0.155775 + 0.00988270i
\(135\) 1.41221 + 0.323643i 0.121544 + 0.0278548i
\(136\) 9.85236 4.15364i 0.844833 0.356172i
\(137\) −7.62797 9.94096i −0.651701 0.849314i 0.344281 0.938867i \(-0.388123\pi\)
−0.995982 + 0.0895532i \(0.971456\pi\)
\(138\) −4.93709 + 15.2557i −0.420273 + 1.29866i
\(139\) −7.27712 0.476968i −0.617237 0.0404559i −0.246422 0.969163i \(-0.579255\pi\)
−0.370815 + 0.928707i \(0.620922\pi\)
\(140\) −0.669861 0.130331i −0.0566136 0.0110150i
\(141\) −11.4660 7.46111i −0.965614 0.628339i
\(142\) −3.75476 3.73907i −0.315092 0.313776i
\(143\) −0.122262 + 0.122262i −0.0102240 + 0.0102240i
\(144\) 11.9422 + 1.17633i 0.995184 + 0.0980277i
\(145\) 0.990055 + 0.990055i 0.0822196 + 0.0822196i
\(146\) 0.0151678 + 7.24744i 0.00125529 + 0.599802i
\(147\) −4.31896 8.49573i −0.356222 0.700716i
\(148\) 2.94917 + 1.95276i 0.242420 + 0.160516i
\(149\) −0.608432 + 9.28287i −0.0498447 + 0.760482i 0.897650 + 0.440710i \(0.145273\pi\)
−0.947494 + 0.319773i \(0.896393\pi\)
\(150\) 6.55484 10.1196i 0.535201 0.826259i
\(151\) 1.93056 1.48137i 0.157106 0.120552i −0.527217 0.849731i \(-0.676764\pi\)
0.684323 + 0.729179i \(0.260098\pi\)
\(152\) −8.58514 5.65876i −0.696347 0.458986i
\(153\) −8.82649 + 7.12075i −0.713580 + 0.575678i
\(154\) −1.31953 1.49829i −0.106330 0.120736i
\(155\) 2.19278 + 0.744347i 0.176128 + 0.0597874i
\(156\) −0.142563 0.499240i −0.0114141 0.0399712i
\(157\) −4.90323 + 9.94277i −0.391320 + 0.793519i 0.608680 + 0.793416i \(0.291700\pi\)
−1.00000 0.000103252i \(0.999967\pi\)
\(158\) −0.241457 0.313313i −0.0192093 0.0249259i
\(159\) −1.47520 + 0.212511i −0.116991 + 0.0168532i
\(160\) −0.682770 + 1.42184i −0.0539777 + 0.112406i
\(161\) 8.01082i 0.631341i
\(162\) −12.5184 + 2.29969i −0.983542 + 0.180681i
\(163\) 3.75506 + 5.61985i 0.294119 + 0.440181i 0.948871 0.315663i \(-0.102227\pi\)
−0.654752 + 0.755844i \(0.727227\pi\)
\(164\) −7.75932 5.90250i −0.605901 0.460908i
\(165\) −0.525346 + 0.185492i −0.0408981 + 0.0144405i
\(166\) 1.48947 + 0.502134i 0.115606 + 0.0389732i
\(167\) 2.68903 + 2.06337i 0.208084 + 0.159668i 0.707546 0.706668i \(-0.249802\pi\)
−0.499462 + 0.866336i \(0.666469\pi\)
\(168\) 5.85733 1.27787i 0.451903 0.0985894i
\(169\) 10.2958 7.90022i 0.791982 0.607710i
\(170\) −0.482097 1.41051i −0.0369752 0.108181i
\(171\) 10.4095 + 3.25323i 0.796038 + 0.248780i
\(172\) 3.67569 10.9790i 0.280269 0.837141i
\(173\) 2.64906 + 2.32316i 0.201404 + 0.176627i 0.754107 0.656752i \(-0.228070\pi\)
−0.552702 + 0.833379i \(0.686403\pi\)
\(174\) −11.4300 4.54457i −0.866509 0.344523i
\(175\) 1.55902 5.81834i 0.117851 0.439825i
\(176\) −4.12139 + 2.07552i −0.310661 + 0.156448i
\(177\) −1.76132 + 14.7651i −0.132389 + 1.10982i
\(178\) −17.6015 + 17.6753i −1.31929 + 1.32482i
\(179\) 7.28757 + 1.44959i 0.544699 + 0.108347i 0.459767 0.888039i \(-0.347933\pi\)
0.0849315 + 0.996387i \(0.472933\pi\)
\(180\) 0.279440 1.64945i 0.0208283 0.122943i
\(181\) 7.16250 10.7194i 0.532384 0.796769i −0.463624 0.886032i \(-0.653451\pi\)
0.996008 + 0.0892629i \(0.0284511\pi\)
\(182\) −0.144558 0.215369i −0.0107154 0.0159642i
\(183\) 13.3795 13.7093i 0.989044 1.01342i
\(184\) 17.9142 + 4.67973i 1.32065 + 0.344995i
\(185\) 0.300188 0.391213i 0.0220703 0.0287625i
\(186\) −20.2786 + 1.61993i −1.48690 + 0.118779i
\(187\) 1.40179 4.12955i 0.102509 0.301982i
\(188\) −7.84073 + 13.7128i −0.571844 + 1.00011i
\(189\) −5.59653 + 3.01873i −0.407088 + 0.219580i
\(190\) −0.870270 + 1.13909i −0.0631360 + 0.0826380i
\(191\) −9.56011 + 16.5586i −0.691745 + 1.19814i 0.279520 + 0.960140i \(0.409825\pi\)
−0.971266 + 0.237998i \(0.923509\pi\)
\(192\) 0.564095 13.8449i 0.0407101 0.999171i
\(193\) 3.89562 + 6.74742i 0.280413 + 0.485690i 0.971486 0.237095i \(-0.0761952\pi\)
−0.691073 + 0.722785i \(0.742862\pi\)
\(194\) 11.9098 + 1.54260i 0.855073 + 0.110752i
\(195\) −0.0708146 + 0.0149841i −0.00507114 + 0.00107304i
\(196\) −9.50741 + 5.54229i −0.679100 + 0.395878i
\(197\) −20.6762 + 4.11275i −1.47312 + 0.293021i −0.865380 0.501116i \(-0.832923\pi\)
−0.607738 + 0.794138i \(0.707923\pi\)
\(198\) 3.59323 3.32325i 0.255360 0.236173i
\(199\) 7.67423 + 18.5272i 0.544012 + 1.31336i 0.921871 + 0.387498i \(0.126661\pi\)
−0.377859 + 0.925863i \(0.623339\pi\)
\(200\) −12.1005 6.88528i −0.855633 0.486863i
\(201\) 0.598725 + 2.13041i 0.0422308 + 0.150267i
\(202\) −5.79494 + 0.392002i −0.407731 + 0.0275812i
\(203\) −6.13200 0.401912i −0.430382 0.0282087i
\(204\) 8.79411 + 9.70291i 0.615711 + 0.679339i
\(205\) −0.896156 + 1.02187i −0.0625903 + 0.0713705i
\(206\) 0.682665 + 0.181389i 0.0475635 + 0.0126380i
\(207\) −19.6326 + 0.478012i −1.36456 + 0.0332241i
\(208\) −0.566066 + 0.197454i −0.0392496 + 0.0136909i
\(209\) −4.05093 + 1.08544i −0.280209 + 0.0750817i
\(210\) −0.120901 0.827002i −0.00834299 0.0570686i
\(211\) 17.2493 5.85534i 1.18749 0.403098i 0.343342 0.939210i \(-0.388441\pi\)
0.844147 + 0.536112i \(0.180108\pi\)
\(212\) 0.342813 + 1.68651i 0.0235445 + 0.115830i
\(213\) 2.79934 5.85508i 0.191807 0.401184i
\(214\) 14.7126 + 2.89453i 1.00573 + 0.197866i
\(215\) −1.49125 0.617695i −0.101702 0.0421264i
\(216\) 3.48126 + 14.2787i 0.236870 + 0.971541i
\(217\) −9.38967 + 3.88933i −0.637412 + 0.264025i
\(218\) −4.68431 23.2947i −0.317261 1.57772i
\(219\) −8.36987 + 2.95528i −0.565584 + 0.199699i
\(220\) 0.248673 + 0.593314i 0.0167656 + 0.0400013i
\(221\) 0.250591 0.508149i 0.0168566 0.0341818i
\(222\) −1.06141 + 4.19997i −0.0712370 + 0.281883i
\(223\) 19.3807 + 11.1894i 1.29783 + 0.749300i 0.980028 0.198859i \(-0.0637236\pi\)
0.317797 + 0.948159i \(0.397057\pi\)
\(224\) −1.86156 6.66755i −0.124381 0.445494i
\(225\) 14.3524 + 3.47360i 0.956827 + 0.231574i
\(226\) −3.26038 + 0.436180i −0.216877 + 0.0290143i
\(227\) 20.2269 1.32574i 1.34250 0.0879924i 0.622859 0.782334i \(-0.285971\pi\)
0.719645 + 0.694342i \(0.244304\pi\)
\(228\) 3.05997 12.2158i 0.202651 0.809012i
\(229\) 13.6034 11.9299i 0.898940 0.788349i −0.0790783 0.996868i \(-0.525198\pi\)
0.978018 + 0.208519i \(0.0668644\pi\)
\(230\) 0.824605 2.44601i 0.0543728 0.161285i
\(231\) 1.19674 2.13234i 0.0787397 0.140298i
\(232\) −4.48095 + 13.4779i −0.294189 + 0.884865i
\(233\) 15.0278 + 6.22473i 0.984505 + 0.407795i 0.816093 0.577921i \(-0.196136\pi\)
0.168413 + 0.985717i \(0.446136\pi\)
\(234\) 0.519194 0.367129i 0.0339408 0.0240000i
\(235\) 1.83105 + 1.22347i 0.119444 + 0.0798101i
\(236\) 17.1380 + 1.05126i 1.11559 + 0.0684311i
\(237\) 0.264228 0.406059i 0.0171635 0.0263763i
\(238\) 5.67257 + 3.25925i 0.367698 + 0.211266i
\(239\) −4.40564 + 16.4421i −0.284977 + 1.06355i 0.663879 + 0.747840i \(0.268909\pi\)
−0.948856 + 0.315709i \(0.897758\pi\)
\(240\) −1.92001 0.212750i −0.123936 0.0137330i
\(241\) −0.959730 3.58176i −0.0618216 0.230722i 0.928101 0.372327i \(-0.121440\pi\)
−0.989923 + 0.141606i \(0.954773\pi\)
\(242\) 3.51150 13.2157i 0.225728 0.849536i
\(243\) −7.73215 13.5357i −0.496018 0.868312i
\(244\) −16.6913 14.5147i −1.06855 0.929209i
\(245\) 0.678569 + 1.37600i 0.0433522 + 0.0879096i
\(246\) 3.67641 11.3602i 0.234399 0.724299i
\(247\) −0.540201 + 0.0711188i −0.0343722 + 0.00452518i
\(248\) 3.21226 + 23.2697i 0.203979 + 1.47762i
\(249\) 0.0234308 + 1.92496i 0.00148486 + 0.121989i
\(250\) −2.16687 + 3.25769i −0.137045 + 0.206035i
\(251\) 9.33957 1.85776i 0.589508 0.117261i 0.108682 0.994077i \(-0.465337\pi\)
0.480826 + 0.876816i \(0.340337\pi\)
\(252\) 3.85112 + 6.25146i 0.242598 + 0.393805i
\(253\) 6.27910 4.19556i 0.394763 0.263772i
\(254\) −7.38439 + 3.07683i −0.463338 + 0.193058i
\(255\) 1.43474 1.12892i 0.0898466 0.0706956i
\(256\) −15.9978 + 0.267871i −0.999860 + 0.0167419i
\(257\) 1.76552 + 3.05797i 0.110130 + 0.190751i 0.915823 0.401583i \(-0.131540\pi\)
−0.805693 + 0.592334i \(0.798207\pi\)
\(258\) 14.1786 0.202262i 0.882721 0.0125923i
\(259\) 0.141548 + 2.15960i 0.00879535 + 0.134191i
\(260\) 0.0219699 + 0.0806409i 0.00136251 + 0.00500114i
\(261\) 0.619092 15.0521i 0.0383208 0.931700i
\(262\) 19.3936 + 1.23037i 1.19814 + 0.0760122i
\(263\) 10.4230 + 1.37221i 0.642707 + 0.0846140i 0.444833 0.895614i \(-0.353263\pi\)
0.197874 + 0.980227i \(0.436596\pi\)
\(264\) −4.06932 3.92187i −0.250449 0.241374i
\(265\) 0.237877 0.0313171i 0.0146127 0.00192379i
\(266\) −0.424620 6.27713i −0.0260351 0.384875i
\(267\) −27.5625 13.1777i −1.68680 0.806464i
\(268\) 2.41621 0.831489i 0.147594 0.0507913i
\(269\) −4.64989 0.924921i −0.283509 0.0563934i 0.0512874 0.998684i \(-0.483668\pi\)
−0.334796 + 0.942290i \(0.608668\pi\)
\(270\) 2.01957 0.345649i 0.122907 0.0210355i
\(271\) −4.42909 + 4.42909i −0.269048 + 0.269048i −0.828717 0.559668i \(-0.810928\pi\)
0.559668 + 0.828717i \(0.310928\pi\)
\(272\) 10.6023 10.7813i 0.642856 0.653711i
\(273\) 0.190310 0.254369i 0.0115181 0.0153951i
\(274\) −15.3649 8.82813i −0.928230 0.533327i
\(275\) −5.37708 + 1.82527i −0.324250 + 0.110068i
\(276\) 1.85303 + 22.6007i 0.111539 + 1.36040i
\(277\) 22.8469 11.2668i 1.37274 0.676958i 0.401673 0.915783i \(-0.368429\pi\)
0.971063 + 0.238825i \(0.0767623\pi\)
\(278\) −9.75919 + 3.33559i −0.585317 + 0.200055i
\(279\) −10.0921 22.7798i −0.604199 1.36379i
\(280\) −0.945346 + 0.194219i −0.0564952 + 0.0116068i
\(281\) 4.14926 31.5167i 0.247524 1.88013i −0.191261 0.981539i \(-0.561258\pi\)
0.438785 0.898592i \(-0.355409\pi\)
\(282\) −19.0264 3.50323i −1.13300 0.208614i
\(283\) 3.99967 3.50762i 0.237756 0.208506i −0.532174 0.846635i \(-0.678625\pi\)
0.769930 + 0.638129i \(0.220291\pi\)
\(284\) −6.93535 2.83877i −0.411538 0.168450i
\(285\) −1.66923 0.544061i −0.0988766 0.0322274i
\(286\) −0.0931020 + 0.226105i −0.00550524 + 0.0133699i
\(287\) 5.96526i 0.352118i
\(288\) 16.2295 4.96010i 0.956334 0.292277i
\(289\) 2.70977i 0.159398i
\(290\) 1.83097 + 0.753925i 0.107518 + 0.0442720i
\(291\) 3.04481 + 14.3897i 0.178490 + 0.843538i
\(292\) 3.96190 + 9.45276i 0.231852 + 0.553181i
\(293\) 13.5678 11.8987i 0.792641 0.695128i −0.163979 0.986464i \(-0.552433\pi\)
0.956621 + 0.291336i \(0.0940997\pi\)
\(294\) −10.2592 8.74134i −0.598327 0.509806i
\(295\) 0.312446 2.37326i 0.0181913 0.138177i
\(296\) 4.91209 + 0.945054i 0.285509 + 0.0549301i
\(297\) 5.29727 + 2.80569i 0.307379 + 0.162803i
\(298\) 4.25496 + 12.4491i 0.246483 + 0.721155i
\(299\) 0.879949 0.433943i 0.0508888 0.0250956i
\(300\) 3.05254 16.7757i 0.176238 0.968548i
\(301\) 6.70827 2.27715i 0.386659 0.131253i
\(302\) 1.71444 2.98391i 0.0986551 0.171704i
\(303\) −2.80202 6.53844i −0.160972 0.375624i
\(304\) −14.2852 2.71740i −0.819315 0.155853i
\(305\) −2.18054 + 2.18054i −0.124857 + 0.124857i
\(306\) −7.64916 + 14.0966i −0.437274 + 0.805850i
\(307\) −30.4517 6.05722i −1.73797 0.345704i −0.778529 0.627609i \(-0.784034\pi\)
−0.959442 + 0.281905i \(0.909034\pi\)
\(308\) −2.53751 1.23819i −0.144588 0.0705521i
\(309\) 0.0670829 + 0.862496i 0.00381621 + 0.0490657i
\(310\) 3.26738 0.221024i 0.185575 0.0125533i
\(311\) 19.2185 2.53016i 1.08978 0.143472i 0.435844 0.900022i \(-0.356450\pi\)
0.653936 + 0.756550i \(0.273117\pi\)
\(312\) −0.457656 0.574177i −0.0259097 0.0325064i
\(313\) 15.6318 + 2.05797i 0.883564 + 0.116323i 0.558634 0.829415i \(-0.311326\pi\)
0.324930 + 0.945738i \(0.394659\pi\)
\(314\) −0.992649 + 15.6466i −0.0560184 + 0.882987i
\(315\) 0.906777 0.474954i 0.0510911 0.0267606i
\(316\) −0.485625 0.277672i −0.0273185 0.0156203i
\(317\) −2.20053 33.5737i −0.123594 1.88569i −0.388554 0.921426i \(-0.627025\pi\)
0.264960 0.964259i \(-0.414641\pi\)
\(318\) −1.81018 + 1.07982i −0.101510 + 0.0605535i
\(319\) 2.89652 + 5.01692i 0.162174 + 0.280894i
\(320\) −0.117928 + 2.22748i −0.00659237 + 0.124520i
\(321\) 2.61849 + 18.1770i 0.146150 + 1.01454i
\(322\) 4.35732 + 10.4575i 0.242824 + 0.582776i
\(323\) 11.4265 7.63493i 0.635786 0.424819i
\(324\) −15.0911 + 9.81123i −0.838392 + 0.545068i
\(325\) −0.723567 + 0.143926i −0.0401363 + 0.00798360i
\(326\) 7.95877 + 5.29382i 0.440795 + 0.293197i
\(327\) 25.0234 14.8563i 1.38380 0.821553i
\(328\) −13.3398 3.48476i −0.736566 0.192414i
\(329\) −9.58252 + 1.26156i −0.528301 + 0.0695522i
\(330\) −0.584906 + 0.527897i −0.0321980 + 0.0290598i
\(331\) −11.4959 23.3114i −0.631872 1.28131i −0.943584 0.331132i \(-0.892569\pi\)
0.311713 0.950176i \(-0.399097\pi\)
\(332\) 2.21752 0.154669i 0.121702 0.00848854i
\(333\) −5.28423 + 0.475766i −0.289574 + 0.0260718i
\(334\) 4.63266 + 1.23093i 0.253488 + 0.0673536i
\(335\) −0.0922014 0.344100i −0.00503750 0.0188002i
\(336\) 6.95125 4.85413i 0.379222 0.264815i
\(337\) −6.35623 + 23.7218i −0.346246 + 1.29221i 0.544904 + 0.838499i \(0.316566\pi\)
−0.891150 + 0.453709i \(0.850100\pi\)
\(338\) 9.14322 15.9133i 0.497326 0.865572i
\(339\) −1.82570 3.59128i −0.0991582 0.195052i
\(340\) −1.39656 1.57909i −0.0757390 0.0856381i
\(341\) 7.96627 + 5.32289i 0.431398 + 0.288251i
\(342\) 15.3584 1.41520i 0.830489 0.0765255i
\(343\) −14.1352 5.85498i −0.763228 0.316139i
\(344\) −1.17345 16.3316i −0.0632683 0.880541i
\(345\) 3.16116 0.0384780i 0.170191 0.00207159i
\(346\) 4.72179 + 1.59182i 0.253845 + 0.0855768i
\(347\) 17.5074 15.3536i 0.939847 0.824223i −0.0447619 0.998998i \(-0.514253\pi\)
0.984609 + 0.174774i \(0.0559196\pi\)
\(348\) −17.3930 + 0.284526i −0.932363 + 0.0152522i
\(349\) −16.6685 + 1.09251i −0.892244 + 0.0584808i −0.504625 0.863339i \(-0.668369\pi\)
−0.387619 + 0.921820i \(0.626702\pi\)
\(350\) −1.12958 8.44341i −0.0603785 0.451319i
\(351\) 0.634754 + 0.451228i 0.0338807 + 0.0240848i
\(352\) −4.25124 + 4.95118i −0.226592 + 0.263899i
\(353\) 7.68505 + 4.43696i 0.409034 + 0.236156i 0.690374 0.723452i \(-0.257446\pi\)
−0.281341 + 0.959608i \(0.590779\pi\)
\(354\) 5.73191 + 20.2328i 0.304648 + 1.07536i
\(355\) −0.462076 + 0.936996i −0.0245244 + 0.0497306i
\(356\) −13.3634 + 32.6478i −0.708256 + 1.73033i
\(357\) −1.46741 + 7.87704i −0.0776635 + 0.416897i
\(358\) 10.3019 2.07159i 0.544471 0.109487i
\(359\) 2.90296 1.20245i 0.153213 0.0634627i −0.304759 0.952429i \(-0.598576\pi\)
0.457972 + 0.888967i \(0.348576\pi\)
\(360\) −0.532395 2.30523i −0.0280597 0.121496i
\(361\) 5.34392 + 2.21352i 0.281259 + 0.116501i
\(362\) 3.51951 17.8893i 0.184981 0.940243i
\(363\) 16.6970 1.29866i 0.876367 0.0681617i
\(364\) −0.305856 0.202520i −0.0160312 0.0106149i
\(365\) 1.35307 0.459306i 0.0708230 0.0240412i
\(366\) 10.0091 25.1740i 0.523187 1.31587i
\(367\) −6.37382 + 1.70786i −0.332711 + 0.0891496i −0.421307 0.906918i \(-0.638429\pi\)
0.0885963 + 0.996068i \(0.471762\pi\)
\(368\) 25.9311 3.63498i 1.35175 0.189486i
\(369\) 14.6194 0.355951i 0.761058 0.0185301i
\(370\) 0.179082 0.673981i 0.00931001 0.0350386i
\(371\) −0.694313 + 0.791712i −0.0360469 + 0.0411036i
\(372\) −25.5911 + 13.1448i −1.32684 + 0.681528i
\(373\) 17.7638 + 1.16430i 0.919774 + 0.0602852i 0.517930 0.855423i \(-0.326703\pi\)
0.401844 + 0.915708i \(0.368369\pi\)
\(374\) −0.416243 6.15330i −0.0215234 0.318179i
\(375\) −4.64333 1.18380i −0.239780 0.0611309i
\(376\) −2.77672 + 22.1658i −0.143199 + 1.14312i
\(377\) 0.288020 + 0.695341i 0.0148338 + 0.0358119i
\(378\) −5.66389 + 6.98485i −0.291319 + 0.359262i
\(379\) −26.7172 + 5.31438i −1.37237 + 0.272981i −0.825579 0.564287i \(-0.809151\pi\)
−0.546792 + 0.837269i \(0.684151\pi\)
\(380\) −0.516492 + 1.96036i −0.0264955 + 0.100564i
\(381\) −6.54922 7.28710i −0.335527 0.373329i
\(382\) −3.47332 + 26.8161i −0.177711 + 1.37203i
\(383\) 15.0780 + 26.1159i 0.770452 + 1.33446i 0.937316 + 0.348482i \(0.113303\pi\)
−0.166864 + 0.985980i \(0.553364\pi\)
\(384\) −6.79427 18.3804i −0.346719 0.937969i
\(385\) −0.196815 + 0.340893i −0.0100306 + 0.0173735i
\(386\) 8.75557 + 6.68932i 0.445647 + 0.340477i
\(387\) 5.98105 + 16.3045i 0.304034 + 0.828806i
\(388\) 16.3864 4.46433i 0.831895 0.226642i
\(389\) −7.32907 + 21.5907i −0.371598 + 1.09469i 0.586916 + 0.809648i \(0.300342\pi\)
−0.958514 + 0.285045i \(0.907991\pi\)
\(390\) −0.0842930 + 0.0580788i −0.00426834 + 0.00294094i
\(391\) −15.0644 + 19.6323i −0.761841 + 0.992851i
\(392\) −9.39661 + 12.4064i −0.474601 + 0.626619i
\(393\) 6.43922 + 22.9123i 0.324816 + 1.15577i
\(394\) −24.7542 + 16.6153i −1.24710 + 0.837066i
\(395\) −0.0433279 + 0.0648447i −0.00218006 + 0.00326269i
\(396\) 2.88309 6.29273i 0.144881 0.316222i
\(397\) 27.2521 + 5.42078i 1.36774 + 0.272061i 0.823714 0.567005i \(-0.191898\pi\)
0.544029 + 0.839066i \(0.316898\pi\)
\(398\) 20.0957 + 20.0117i 1.00730 + 1.00310i
\(399\) 7.08249 3.03517i 0.354568 0.151949i
\(400\) −19.5414 2.40643i −0.977071 0.120322i
\(401\) −1.30726 + 4.87878i −0.0652817 + 0.243635i −0.990854 0.134935i \(-0.956917\pi\)
0.925573 + 0.378570i \(0.123584\pi\)
\(402\) 1.94038 + 2.45543i 0.0967774 + 0.122466i
\(403\) 0.935858 + 0.820726i 0.0466184 + 0.0408833i
\(404\) −7.35165 + 3.66377i −0.365758 + 0.182279i
\(405\) 1.21811 + 2.19396i 0.0605283 + 0.109019i
\(406\) −8.22349 + 2.81071i −0.408125 + 0.139493i
\(407\) 1.61862 1.24201i 0.0802321 0.0615642i
\(408\) 16.7578 + 7.88307i 0.829633 + 0.390270i
\(409\) 17.6562 + 13.5480i 0.873041 + 0.669908i 0.944847 0.327511i \(-0.106210\pi\)
−0.0718068 + 0.997419i \(0.522876\pi\)
\(410\) −0.614042 + 1.82142i −0.0303254 + 0.0899537i
\(411\) 3.97468 21.3361i 0.196056 1.05243i
\(412\) 0.989832 0.134531i 0.0487655 0.00662788i
\(413\) 5.83680 + 8.73539i 0.287210 + 0.429840i
\(414\) −25.3690 + 11.3028i −1.24682 + 0.555501i
\(415\) 0.309902i 0.0152125i
\(416\) −0.631558 + 0.565662i −0.0309647 + 0.0277338i
\(417\) −7.81090 9.92682i −0.382501 0.486118i
\(418\) −4.69779 + 3.62039i −0.229777 + 0.177079i
\(419\) −6.96248 + 14.1185i −0.340139 + 0.689734i −0.997987 0.0634167i \(-0.979800\pi\)
0.657848 + 0.753151i \(0.271467\pi\)
\(420\) −0.607659 1.01383i −0.0296507 0.0494698i
\(421\) −23.3433 7.92397i −1.13768 0.386191i −0.311863 0.950127i \(-0.600953\pi\)
−0.825818 + 0.563936i \(0.809286\pi\)
\(422\) 19.3328 17.0261i 0.941105 0.828818i
\(423\) −3.66359 23.4092i −0.178130 1.13820i
\(424\) 1.36486 + 2.01515i 0.0662835 + 0.0978645i
\(425\) 14.7622 11.3274i 0.716071 0.549461i
\(426\) 0.469578 9.16603i 0.0227511 0.444096i
\(427\) 0.885189 13.5054i 0.0428373 0.653571i
\(428\) 20.7807 4.22403i 1.00447 0.204176i
\(429\) −0.299054 0.0159482i −0.0144385 0.000769985i
\(430\) −2.28270 + 0.00477733i −0.110081 + 0.000230383i
\(431\) −28.3800 28.3800i −1.36702 1.36702i −0.864659 0.502359i \(-0.832466\pi\)
−0.502359 0.864659i \(-0.667534\pi\)
\(432\) 12.3111 + 16.7462i 0.592319 + 0.805703i
\(433\) −22.5928 + 22.5928i −1.08574 + 1.08574i −0.0897813 + 0.995962i \(0.528617\pi\)
−0.995962 + 0.0897813i \(0.971383\pi\)
\(434\) −10.1420 + 10.1846i −0.486832 + 0.488874i
\(435\) −0.129146 + 2.42169i −0.00619207 + 0.116111i
\(436\) −18.7857 27.8616i −0.899672 1.33433i
\(437\) 23.7466 + 1.55643i 1.13595 + 0.0744544i
\(438\) −9.31880 + 8.41052i −0.445269 + 0.401870i
\(439\) 17.8864 + 23.3100i 0.853670 + 1.11252i 0.992504 + 0.122209i \(0.0389977\pi\)
−0.138835 + 0.990316i \(0.544336\pi\)
\(440\) 0.647346 + 0.639268i 0.0308610 + 0.0304759i
\(441\) 5.94400 15.4000i 0.283048 0.733335i
\(442\) 0.0507317 0.799656i 0.00241306 0.0380357i
\(443\) 2.74596 8.08934i 0.130465 0.384336i −0.861994 0.506919i \(-0.830784\pi\)
0.992458 + 0.122583i \(0.0391177\pi\)
\(444\) 0.898896 + 6.06008i 0.0426597 + 0.287599i
\(445\) 4.41086 + 2.17520i 0.209095 + 0.103114i
\(446\) 31.3863 + 4.06528i 1.48618 + 0.192497i
\(447\) −12.6629 + 9.96377i −0.598934 + 0.471270i
\(448\) −6.05681 7.69145i −0.286157 0.363387i
\(449\) 21.9536 1.03605 0.518026 0.855365i \(-0.326667\pi\)
0.518026 + 0.855365i \(0.326667\pi\)
\(450\) 20.6254 3.27216i 0.972292 0.154251i
\(451\) −4.67573 + 3.12422i −0.220171 + 0.147114i
\(452\) −4.01893 + 2.34282i −0.189035 + 0.110197i
\(453\) 4.14351 + 0.771892i 0.194679 + 0.0362666i
\(454\) 25.6836 12.7326i 1.20539 0.597572i
\(455\) −0.0311323 + 0.0405724i −0.00145950 + 0.00190206i
\(456\) −2.64997 17.6113i −0.124096 0.824723i
\(457\) −11.1374 14.5145i −0.520984 0.678960i 0.456559 0.889693i \(-0.349082\pi\)
−0.977544 + 0.210733i \(0.932415\pi\)
\(458\) 11.2693 22.9729i 0.526579 1.07345i
\(459\) −19.3923 3.12624i −0.905157 0.145921i
\(460\) −0.253997 3.64162i −0.0118427 0.169791i
\(461\) −2.17937 + 2.48509i −0.101503 + 0.115742i −0.800361 0.599519i \(-0.795359\pi\)
0.698858 + 0.715261i \(0.253692\pi\)
\(462\) 0.402417 3.43455i 0.0187221 0.159790i
\(463\) −10.4867 2.80990i −0.487358 0.130587i 0.00676876 0.999977i \(-0.497845\pi\)
−0.494127 + 0.869390i \(0.664512\pi\)
\(464\) 1.48146 + 20.0317i 0.0687749 + 0.929948i
\(465\) 1.57988 + 3.68659i 0.0732650 + 0.170962i
\(466\) 23.0035 0.0481428i 1.06562 0.00223017i
\(467\) 2.63142 13.2290i 0.121767 0.612166i −0.870917 0.491430i \(-0.836474\pi\)
0.992685 0.120736i \(-0.0385256\pi\)
\(468\) 0.478078 0.761666i 0.0220992 0.0352080i
\(469\) 1.30001 + 0.868637i 0.0600288 + 0.0401100i
\(470\) 3.05578 + 0.601186i 0.140952 + 0.0277306i
\(471\) −18.4855 + 5.19511i −0.851765 + 0.239378i
\(472\) 22.9442 7.94950i 1.05609 0.365906i
\(473\) −5.29826 4.06550i −0.243614 0.186932i
\(474\) 0.124063 0.673801i 0.00569842 0.0309487i
\(475\) −16.9445 5.75188i −0.777467 0.263914i
\(476\) 9.17792 + 1.16924i 0.420669 + 0.0535919i
\(477\) −1.98173 1.65436i −0.0907372 0.0757478i
\(478\) 3.19208 + 23.8603i 0.146002 + 1.09134i
\(479\) −30.7086 17.7296i −1.40311 0.810088i −0.408402 0.912802i \(-0.633914\pi\)
−0.994711 + 0.102715i \(0.967247\pi\)
\(480\) −2.62215 + 0.766618i −0.119684 + 0.0349912i
\(481\) 0.229554 0.132533i 0.0104668 0.00604299i
\(482\) −3.20108 4.15370i −0.145805 0.189196i
\(483\) −10.3198 + 9.27481i −0.469566 + 0.422018i
\(484\) −2.60438 19.1621i −0.118381 0.871006i
\(485\) −0.461923 2.32224i −0.0209748 0.105448i
\(486\) −17.4562 13.4641i −0.791829 0.610743i
\(487\) −19.8226 + 8.21078i −0.898247 + 0.372066i −0.783546 0.621334i \(-0.786591\pi\)
−0.114701 + 0.993400i \(0.536591\pi\)
\(488\) −29.6842 9.86902i −1.34374 0.446750i
\(489\) −2.89209 + 11.3440i −0.130785 + 0.512992i
\(490\) 1.63427 + 1.42718i 0.0738288 + 0.0644733i
\(491\) 0.359659 5.48733i 0.0162312 0.247640i −0.982031 0.188718i \(-0.939567\pi\)
0.998263 0.0589223i \(-0.0187664\pi\)
\(492\) −1.37986 16.8296i −0.0622089 0.758737i
\(493\) −14.2721 12.5163i −0.642782 0.563704i
\(494\) −0.666510 + 0.386672i −0.0299877 + 0.0173972i
\(495\) −0.847194 0.462006i −0.0380785 0.0207656i
\(496\) 16.8504 + 28.6296i 0.756607 + 1.28551i
\(497\) −1.18676 4.42904i −0.0532333 0.198669i
\(498\) 1.07763 + 2.50015i 0.0482896 + 0.112034i
\(499\) 8.66746 + 25.5335i 0.388009 + 1.14304i 0.949017 + 0.315226i \(0.102080\pi\)
−0.561008 + 0.827810i \(0.689586\pi\)
\(500\) −1.05674 + 5.43131i −0.0472589 + 0.242895i
\(501\) 0.455234 + 5.85303i 0.0203384 + 0.261494i
\(502\) 11.1816 7.50523i 0.499061 0.334975i
\(503\) −2.51985 + 6.08346i −0.112355 + 0.271248i −0.970048 0.242914i \(-0.921897\pi\)
0.857693 + 0.514162i \(0.171897\pi\)
\(504\) 8.42771 + 6.06608i 0.375400 + 0.270205i
\(505\) 0.438225 + 1.05797i 0.0195008 + 0.0470790i
\(506\) 5.91482 8.89238i 0.262946 0.395315i
\(507\) 22.0976 + 4.11654i 0.981388 + 0.182822i
\(508\) −7.96620 + 8.03317i −0.353443 + 0.356414i
\(509\) −2.28021 1.12448i −0.101069 0.0498415i 0.391052 0.920369i \(-0.372111\pi\)
−0.492120 + 0.870527i \(0.663778\pi\)
\(510\) 1.25889 2.25412i 0.0557446 0.0998139i
\(511\) −3.13568 + 5.43115i −0.138714 + 0.240260i
\(512\) −20.7382 + 9.05134i −0.916508 + 0.400016i
\(513\) 7.86112 + 17.1764i 0.347077 + 0.758357i
\(514\) 3.96807 + 3.03164i 0.175024 + 0.133720i
\(515\) −0.00910830 0.138966i −0.000401359 0.00612356i
\(516\) 18.3991 7.97620i 0.809976 0.351133i
\(517\) 6.00756 + 6.85031i 0.264212 + 0.301276i
\(518\) 1.35945 + 2.74221i 0.0597309 + 0.120486i
\(519\) 0.0742781 + 6.10232i 0.00326045 + 0.267862i
\(520\) 0.0725430 + 0.0933209i 0.00318122 + 0.00409239i
\(521\) 0.724828 1.74989i 0.0317553 0.0766640i −0.907206 0.420686i \(-0.861789\pi\)
0.938962 + 0.344022i \(0.111789\pi\)
\(522\) −7.37908 19.9861i −0.322974 0.874769i
\(523\) −22.0739 + 33.0359i −0.965223 + 1.44456i −0.0707198 + 0.997496i \(0.522530\pi\)
−0.894503 + 0.447062i \(0.852470\pi\)
\(524\) 25.9861 8.94258i 1.13521 0.390658i
\(525\) 9.30036 4.72801i 0.405901 0.206347i
\(526\) 14.3528 3.87803i 0.625812 0.169090i
\(527\) −30.3255 8.12568i −1.32100 0.353960i
\(528\) −7.44542 2.90629i −0.324020 0.126480i
\(529\) −19.1756 + 5.13810i −0.833724 + 0.223396i
\(530\) 0.293497 0.170270i 0.0127487 0.00739607i
\(531\) −21.0601 + 14.8259i −0.913931 + 0.643388i
\(532\) −3.96862 7.96337i −0.172062 0.345256i
\(533\) −0.655254 + 0.323135i −0.0283822 + 0.0139966i
\(534\) −43.1486 2.21052i −1.86722 0.0956584i
\(535\) −0.385879 2.93104i −0.0166830 0.126720i
\(536\) 2.70192 2.39970i 0.116705 0.103651i
\(537\) 6.57004 + 11.0664i 0.283518 + 0.477549i
\(538\) −6.57319 + 1.32180i −0.283390 + 0.0569867i
\(539\) 1.23839 + 6.22579i 0.0533411 + 0.268164i
\(540\) 2.44840 1.54973i 0.105362 0.0666896i
\(541\) 4.70252 + 7.03781i 0.202177 + 0.302579i 0.918678 0.395006i \(-0.129258\pi\)
−0.716501 + 0.697586i \(0.754258\pi\)
\(542\) −3.37274 + 8.19097i −0.144872 + 0.351832i
\(543\) 22.1017 3.18387i 0.948475 0.136633i
\(544\) 7.97623 19.8410i 0.341978 0.850678i
\(545\) −4.05708 + 2.34235i −0.173786 + 0.100335i
\(546\) 0.110078 0.435576i 0.00471089 0.0186409i
\(547\) −15.1649 + 0.993962i −0.648405 + 0.0424987i −0.386058 0.922475i \(-0.626163\pi\)
−0.262348 + 0.964973i \(0.584497\pi\)
\(548\) −24.8597 3.16704i −1.06195 0.135289i
\(549\) 33.1513 + 1.36351i 1.41486 + 0.0581934i
\(550\) −6.02657 + 5.30752i −0.256974 + 0.226313i
\(551\) −2.38279 + 18.0991i −0.101510 + 0.771048i
\(552\) 14.7122 + 28.4956i 0.626192 + 1.21286i
\(553\) −0.0446770 0.339356i −0.00189986 0.0144309i
\(554\) 23.6966 27.1351i 1.00677 1.15286i
\(555\) 0.851525 0.0662295i 0.0361452 0.00281129i
\(556\) −10.9256 + 9.66268i −0.463348 + 0.409789i
\(557\) −3.77639 + 18.9852i −0.160011 + 0.804428i 0.814513 + 0.580145i \(0.197004\pi\)
−0.974524 + 0.224283i \(0.927996\pi\)
\(558\) −25.5651 24.2480i −1.08226 1.02650i
\(559\) −0.613519 0.613519i −0.0259491 0.0259491i
\(560\) −1.12844 + 0.767740i −0.0476853 + 0.0324430i
\(561\) 6.94277 2.97530i 0.293124 0.125617i
\(562\) −11.7263 43.3997i −0.494645 1.83071i
\(563\) −13.2013 38.8897i −0.556367 1.63901i −0.752622 0.658453i \(-0.771211\pi\)
0.196255 0.980553i \(-0.437122\pi\)
\(564\) −26.7431 + 5.77580i −1.12609 + 0.243205i
\(565\) 0.286842 + 0.581658i 0.0120675 + 0.0244705i
\(566\) 3.31339 6.75448i 0.139272 0.283912i
\(567\) −10.3684 3.71457i −0.435432 0.155997i
\(568\) −10.5977 + 0.0665387i −0.444669 + 0.00279190i
\(569\) −31.0275 4.08485i −1.30074 0.171246i −0.551852 0.833942i \(-0.686079\pi\)
−0.748888 + 0.662696i \(0.769412\pi\)
\(570\) −2.47499 + 0.197711i −0.103666 + 0.00828119i
\(571\) −22.7884 25.9852i −0.953664 1.08745i −0.996090 0.0883458i \(-0.971842\pi\)
0.0424258 0.999100i \(-0.486491\pi\)
\(572\) 0.00144744 + 0.345805i 6.05204e−5 + 0.0144588i
\(573\) −32.3998 + 6.85570i −1.35352 + 0.286401i
\(574\) −3.24468 7.78721i −0.135430 0.325032i
\(575\) 32.2218 1.34374
\(576\) 18.4885 15.3028i 0.770355 0.637615i
\(577\) −23.1240 −0.962664 −0.481332 0.876538i \(-0.659847\pi\)
−0.481332 + 0.876538i \(0.659847\pi\)
\(578\) −1.47392 3.53741i −0.0613071 0.147137i
\(579\) −4.18192 + 12.8305i −0.173795 + 0.533218i
\(580\) 2.80027 0.0117211i 0.116275 0.000486693i
\(581\) 0.896802 + 1.02261i 0.0372056 + 0.0424249i
\(582\) 11.8018 + 17.1285i 0.489198 + 0.710000i
\(583\) 0.984202 + 0.129573i 0.0407615 + 0.00536635i
\(584\) 10.3136 + 10.1849i 0.426780 + 0.421454i
\(585\) −0.101291 0.0738769i −0.00418787 0.00305444i
\(586\) 11.2398 22.9128i 0.464311 0.946519i
\(587\) 6.66071 + 13.5066i 0.274917 + 0.557476i 0.989917 0.141648i \(-0.0452401\pi\)
−0.715000 + 0.699124i \(0.753573\pi\)
\(588\) −18.1473 5.83093i −0.748381 0.240463i
\(589\) 9.70487 + 28.5896i 0.399882 + 1.17802i
\(590\) −0.883012 3.26807i −0.0363530 0.134544i
\(591\) −29.2368 21.8740i −1.20264 0.899775i
\(592\) 6.92642 1.43813i 0.284674 0.0591068i
\(593\) −23.2127 23.2127i −0.953232 0.953232i 0.0457225 0.998954i \(-0.485441\pi\)
−0.998954 + 0.0457225i \(0.985441\pi\)
\(594\) 8.44130 + 0.781287i 0.346351 + 0.0320566i
\(595\) 0.251639 1.26508i 0.0103162 0.0518631i
\(596\) 12.3260 + 13.9369i 0.504891 + 0.570879i
\(597\) −14.9822 + 31.3367i −0.613181 + 1.28253i
\(598\) 0.912675 1.04511i 0.0373221 0.0427378i
\(599\) −3.72011 28.2570i −0.151999 1.15455i −0.882049 0.471157i \(-0.843837\pi\)
0.730050 0.683394i \(-0.239497\pi\)
\(600\) −5.13994 23.5599i −0.209837 0.961828i
\(601\) −2.91217 + 22.1201i −0.118790 + 0.902299i 0.823457 + 0.567379i \(0.192043\pi\)
−0.942247 + 0.334920i \(0.891291\pi\)
\(602\) 7.51856 6.62148i 0.306433 0.269872i
\(603\) −2.05125 + 3.23785i −0.0835335 + 0.131855i
\(604\) 0.615046 4.82781i 0.0250259 0.196441i
\(605\) −2.69023 + 0.176327i −0.109373 + 0.00716872i
\(606\) −7.21429 7.01135i −0.293060 0.284817i
\(607\) 8.62308 4.97854i 0.350000 0.202073i −0.314685 0.949196i \(-0.601899\pi\)
0.664685 + 0.747123i \(0.268566\pi\)
\(608\) −20.1264 + 4.22280i −0.816234 + 0.171257i
\(609\) −6.58178 8.36474i −0.266707 0.338957i
\(610\) −1.66048 + 4.03259i −0.0672307 + 0.163275i
\(611\) 0.657658 + 0.984254i 0.0266060 + 0.0398187i
\(612\) −2.31787 + 22.5627i −0.0936943 + 0.912043i
\(613\) −1.12084 5.63485i −0.0452704 0.227590i 0.951526 0.307568i \(-0.0995150\pi\)
−0.996797 + 0.0799780i \(0.974515\pi\)
\(614\) −43.0472 + 8.65632i −1.73724 + 0.349340i
\(615\) −2.35396 + 0.0286526i −0.0949208 + 0.00115539i
\(616\) −3.98602 0.236134i −0.160601 0.00951411i
\(617\) −0.693398 5.26688i −0.0279152 0.212037i 0.971803 0.235796i \(-0.0757698\pi\)
−0.999718 + 0.0237595i \(0.992436\pi\)
\(618\) 0.556709 + 1.08944i 0.0223941 + 0.0438236i
\(619\) −20.3253 + 10.0233i −0.816942 + 0.402871i −0.802226 0.597020i \(-0.796351\pi\)
−0.0147162 + 0.999892i \(0.504684\pi\)
\(620\) 4.14511 2.06576i 0.166472 0.0829628i
\(621\) −23.3462 24.7379i −0.936849 0.992697i
\(622\) 23.7121 13.7564i 0.950768 0.551583i
\(623\) −20.8495 + 5.58660i −0.835317 + 0.223822i
\(624\) −0.909749 0.500614i −0.0364191 0.0200406i
\(625\) −23.0276 6.17022i −0.921103 0.246809i
\(626\) 21.5256 5.81609i 0.860337 0.232458i
\(627\) −6.08841 3.96181i −0.243148 0.158220i
\(628\) 7.21480 + 20.9654i 0.287902 + 0.836611i
\(629\) −3.71426 + 5.55878i −0.148097 + 0.221643i
\(630\) 0.925390 1.11324i 0.0368684 0.0443525i
\(631\) 9.50545 22.9482i 0.378406 0.913553i −0.613859 0.789416i \(-0.710384\pi\)
0.992265 0.124137i \(-0.0396163\pi\)
\(632\) −0.784982 0.0983350i −0.0312249 0.00391156i
\(633\) 27.5140 + 15.4418i 1.09358 + 0.613756i
\(634\) −21.1343 42.6311i −0.839352 1.69310i
\(635\) 1.03994 + 1.18582i 0.0412687 + 0.0470579i
\(636\) −1.77571 + 2.39424i −0.0704115 + 0.0949378i
\(637\) 0.0539380 + 0.822935i 0.00213710 + 0.0326059i
\(638\) 6.51005 + 4.97373i 0.257735 + 0.196912i
\(639\) 10.7837 3.17275i 0.426597 0.125512i
\(640\) 1.05765 + 2.97196i 0.0418072 + 0.117477i
\(641\) −1.14869 + 1.98959i −0.0453706 + 0.0785842i −0.887819 0.460193i \(-0.847780\pi\)
0.842448 + 0.538777i \(0.181114\pi\)
\(642\) 13.3052 + 22.3045i 0.525116 + 0.880287i
\(643\) 31.3483 + 15.4593i 1.23626 + 0.609654i 0.938596 0.345018i \(-0.112127\pi\)
0.297659 + 0.954672i \(0.403794\pi\)
\(644\) 11.3763 + 11.2815i 0.448290 + 0.444553i
\(645\) −0.930813 2.63623i −0.0366507 0.103801i
\(646\) 10.7636 16.1820i 0.423487 0.636674i
\(647\) 5.97311 + 14.4204i 0.234827 + 0.566923i 0.996733 0.0807648i \(-0.0257363\pi\)
−0.761906 + 0.647687i \(0.775736\pi\)
\(648\) −14.3637 + 21.0163i −0.564258 + 0.825599i
\(649\) 3.79009 9.15008i 0.148774 0.359172i
\(650\) −0.866279 + 0.581455i −0.0339782 + 0.0228065i
\(651\) −15.8816 7.59303i −0.622448 0.297594i
\(652\) 13.2691 + 2.58169i 0.519656 + 0.101107i
\(653\) −2.50608 7.38266i −0.0980703 0.288906i 0.886812 0.462130i \(-0.152915\pi\)
−0.984882 + 0.173224i \(0.944581\pi\)
\(654\) 24.5855 33.0047i 0.961369 1.29059i
\(655\) −0.991616 3.70076i −0.0387457 0.144601i
\(656\) −19.3096 + 2.70679i −0.753912 + 0.105682i
\(657\) −13.4976 7.36073i −0.526591 0.287169i
\(658\) −11.8231 + 6.85909i −0.460912 + 0.267395i
\(659\) 32.7539 + 28.7244i 1.27591 + 1.11894i 0.986851 + 0.161630i \(0.0516752\pi\)
0.289058 + 0.957312i \(0.406658\pi\)
\(660\) −0.476414 + 1.00728i −0.0185444 + 0.0392083i
\(661\) 1.23676 18.8693i 0.0481044 0.733932i −0.903880 0.427786i \(-0.859294\pi\)
0.951985 0.306146i \(-0.0990396\pi\)
\(662\) −27.6868 24.1783i −1.07608 0.939718i
\(663\) 0.944743 0.265509i 0.0366908 0.0103115i
\(664\) 2.81069 1.40809i 0.109076 0.0546443i
\(665\) −1.14600 + 0.474689i −0.0444400 + 0.0184077i
\(666\) −6.63940 + 3.49533i −0.257271 + 0.135441i
\(667\) −6.41304 32.2405i −0.248314 1.24836i
\(668\) 6.71715 0.912948i 0.259894 0.0353230i
\(669\) 8.02411 + 37.9217i 0.310230 + 1.46614i
\(670\) −0.307528 0.399047i −0.0118809 0.0154165i
\(671\) −11.0495 + 6.37942i −0.426560 + 0.246275i
\(672\) 6.43404 10.1177i 0.248199 0.390299i
\(673\) 3.13152 + 1.80798i 0.120711 + 0.0696926i 0.559140 0.829073i \(-0.311132\pi\)
−0.438429 + 0.898766i \(0.644465\pi\)
\(674\) 4.60537 + 34.4244i 0.177392 + 1.32598i
\(675\) 12.1422 + 22.5109i 0.467354 + 0.866444i
\(676\) 3.28008 25.7470i 0.126157 0.990268i
\(677\) −4.11350 1.39635i −0.158095 0.0536659i 0.241270 0.970458i \(-0.422436\pi\)
−0.399365 + 0.916792i \(0.630769\pi\)
\(678\) −4.33672 3.69511i −0.166551 0.141910i
\(679\) 8.24440 + 6.32615i 0.316391 + 0.242775i
\(680\) −2.68202 1.30176i −0.102851 0.0499200i
\(681\) 25.1262 + 24.5219i 0.962839 + 0.939681i
\(682\) 13.2947 + 2.61556i 0.509079 + 0.100155i
\(683\) −30.3270 20.2638i −1.16043 0.775374i −0.182274 0.983248i \(-0.558346\pi\)
−0.978156 + 0.207874i \(0.933346\pi\)
\(684\) 19.2795 10.2013i 0.737172 0.390058i
\(685\) −0.681600 + 3.42664i −0.0260426 + 0.130925i
\(686\) −21.6371 + 0.0452831i −0.826110 + 0.00172892i
\(687\) 31.1183 + 3.71208i 1.18724 + 0.141625i
\(688\) −10.4151 20.6815i −0.397072 0.788473i
\(689\) 0.124576 + 0.0333801i 0.00474598 + 0.00127168i
\(690\) 4.10574 1.76968i 0.156303 0.0673705i
\(691\) −16.2128 + 18.4872i −0.616765 + 0.703286i −0.972920 0.231141i \(-0.925754\pi\)
0.356155 + 0.934427i \(0.384088\pi\)
\(692\) 7.02980 0.490316i 0.267233 0.0186390i
\(693\) 4.13251 0.927114i 0.156981 0.0352182i
\(694\) 14.5034 29.5658i 0.550541 1.12230i
\(695\) 1.23785 + 1.61320i 0.0469545 + 0.0611923i
\(696\) −22.5505 + 9.83199i −0.854776 + 0.372681i
\(697\) 11.2177 14.6192i 0.424902 0.553743i
\(698\) −21.1653 + 10.4927i −0.801117 + 0.397154i
\(699\) 9.38012 + 26.5662i 0.354789 + 1.00482i
\(700\) −6.06720 10.4079i −0.229319 0.393380i
\(701\) −14.6949 + 9.81884i −0.555020 + 0.370852i −0.801223 0.598366i \(-0.795817\pi\)
0.246203 + 0.969218i \(0.420817\pi\)
\(702\) 1.07406 + 0.243784i 0.0405379 + 0.00920102i
\(703\) 6.42925 0.242484
\(704\) −2.85660 + 8.77578i −0.107662 + 0.330750i
\(705\) 0.543855 + 3.77531i 0.0204828 + 0.142187i
\(706\) 12.4457 + 1.61201i 0.468399 + 0.0606689i
\(707\) −4.50762 2.22291i −0.169526 0.0836012i
\(708\) 18.4878 + 23.2948i 0.694815 + 0.875471i
\(709\) −1.39250 + 4.10216i −0.0522963 + 0.154060i −0.969940 0.243344i \(-0.921756\pi\)
0.917644 + 0.397404i \(0.130089\pi\)
\(710\) −0.0935462 + 1.47452i −0.00351073 + 0.0553377i
\(711\) 0.829016 0.129743i 0.0310905 0.00486573i
\(712\) 0.313227 + 49.8881i 0.0117387 + 1.86964i
\(713\) −33.0961 43.1317i −1.23946 1.61530i
\(714\) 2.36896 + 11.0811i 0.0886561 + 0.414699i
\(715\) 0.0481068 + 0.00315309i 0.00179909 + 0.000117919i
\(716\) 12.3215 8.30780i 0.460478 0.310477i
\(717\) −26.2819 + 13.3609i −0.981516 + 0.498973i
\(718\) 3.13556 3.14872i 0.117018 0.117509i
\(719\) 0.0534869 0.0534869i 0.00199473 0.00199473i −0.706109 0.708103i \(-0.749551\pi\)
0.708103 + 0.706109i \(0.249551\pi\)
\(720\) −1.94889 2.71973i −0.0726307 0.101358i
\(721\) 0.432197 + 0.432197i 0.0160959 + 0.0160959i
\(722\) 8.18010 0.0171197i 0.304432 0.000637128i
\(723\) 3.50297 5.38326i 0.130277 0.200206i
\(724\) −5.13608 25.2676i −0.190881 0.939063i
\(725\) −1.61661 + 24.6647i −0.0600393 + 0.916023i
\(726\) 21.0904 10.7773i 0.782738 0.399983i
\(727\) 29.9853 23.0085i 1.11209 0.853340i 0.121831 0.992551i \(-0.461123\pi\)
0.990263 + 0.139211i \(0.0444567\pi\)
\(728\) −0.509429 0.0980109i −0.0188807 0.00363252i
\(729\) 8.48484 25.6322i 0.314253 0.949339i
\(730\) 1.51651 1.33557i 0.0561285 0.0494315i
\(731\) 20.7224 + 7.03430i 0.766445 + 0.260173i
\(732\) −0.626652 38.3071i −0.0231617 1.41587i
\(733\) −19.4998 + 39.5418i −0.720243 + 1.46051i 0.160560 + 0.987026i \(0.448670\pi\)
−0.880803 + 0.473483i \(0.842997\pi\)
\(734\) −7.39161 + 5.69640i −0.272829 + 0.210258i
\(735\) −0.986968 + 2.46727i −0.0364049 + 0.0910066i
\(736\) 31.8740 18.8499i 1.17489 0.694815i
\(737\) 1.47392i 0.0542925i
\(738\) 18.8910 8.41661i 0.695388 0.309820i
\(739\) 6.30629 + 9.43802i 0.231981 + 0.347183i 0.929137 0.369736i \(-0.120552\pi\)
−0.697157 + 0.716919i \(0.745552\pi\)
\(740\) −0.132820 0.977241i −0.00488255 0.0359241i
\(741\) −0.717055 0.613562i −0.0263417 0.0225398i
\(742\) −0.475740 + 1.41118i −0.0174650 + 0.0518060i
\(743\) −20.1896 15.4920i −0.740683 0.568346i 0.168023 0.985783i \(-0.446262\pi\)
−0.908706 + 0.417437i \(0.862928\pi\)
\(744\) −26.2575 + 31.0794i −0.962648 + 1.13943i
\(745\) 2.05784 1.57904i 0.0753935 0.0578515i
\(746\) 23.8226 8.14233i 0.872208 0.298112i
\(747\) −2.45266 + 2.25887i −0.0897380 + 0.0826477i
\(748\) −3.89033 7.80628i −0.142245 0.285426i
\(749\) 9.75523 + 8.55511i 0.356448 + 0.312597i
\(750\) −6.70543 + 0.980282i −0.244848 + 0.0357948i
\(751\) −3.70308 + 13.8201i −0.135127 + 0.504302i 0.864870 + 0.501996i \(0.167401\pi\)
−0.999997 + 0.00230637i \(0.999266\pi\)
\(752\) 8.43184 + 30.4462i 0.307478 + 1.11026i
\(753\) 13.2064 + 9.88062i 0.481269 + 0.360070i
\(754\) 0.754206 + 0.751055i 0.0274665 + 0.0273518i
\(755\) −0.665460 0.132368i −0.0242186 0.00481738i
\(756\) −3.59453 + 12.1990i −0.130732 + 0.443672i
\(757\) 16.1284 24.1378i 0.586195 0.877303i −0.413250 0.910618i \(-0.635606\pi\)
0.999445 + 0.0333145i \(0.0106063\pi\)
\(758\) −31.9867 + 21.4698i −1.16181 + 0.779818i
\(759\) 12.6747 + 3.23135i 0.460062 + 0.117291i
\(760\) 0.392054 + 2.84004i 0.0142213 + 0.103019i
\(761\) 26.9258 35.0904i 0.976059 1.27203i 0.0137962 0.999905i \(-0.495608\pi\)
0.962263 0.272121i \(-0.0877249\pi\)
\(762\) −12.5132 5.95046i −0.453305 0.215563i
\(763\) 6.60907 19.4697i 0.239264 0.704850i
\(764\) 10.0519 + 36.8957i 0.363664 + 1.33484i
\(765\) 3.11542 + 0.541221i 0.112638 + 0.0195679i
\(766\) 33.8885 + 25.8911i 1.22444 + 0.935482i
\(767\) 0.643362 1.11434i 0.0232305 0.0402363i
\(768\) −18.8671 20.2986i −0.680806 0.732464i
\(769\) 15.1500 + 26.2405i 0.546322 + 0.946257i 0.998522 + 0.0543409i \(0.0173058\pi\)
−0.452201 + 0.891916i \(0.649361\pi\)
\(770\) −0.0715056 + 0.552065i −0.00257688 + 0.0198950i
\(771\) −1.89527 + 5.81486i −0.0682564 + 0.209417i
\(772\) 15.0683 + 3.97001i 0.542319