Properties

Label 570.2.n.a.179.17
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.n (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.17
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.44440 - 0.955888i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.79086 + 1.33896i) q^{5} +(-1.72883 + 0.105626i) q^{6} -2.53373i q^{7} -1.00000i q^{8} +(1.17255 - 2.76136i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(1.44440 - 0.955888i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.79086 + 1.33896i) q^{5} +(-1.72883 + 0.105626i) q^{6} -2.53373i q^{7} -1.00000i q^{8} +(1.17255 - 2.76136i) q^{9} +(2.22041 - 0.264142i) q^{10} +0.736692i q^{11} +(1.55002 + 0.772939i) q^{12} +(-2.38601 - 4.13269i) q^{13} +(-1.26686 + 2.19427i) q^{14} +(-1.30682 + 3.64585i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.03960 - 1.80064i) q^{17} +(-2.39614 + 1.80513i) q^{18} +(0.713722 + 4.30007i) q^{19} +(-2.05500 - 0.881452i) q^{20} +(-2.42196 - 3.65970i) q^{21} +(0.368346 - 0.637994i) q^{22} +(-3.12477 - 5.41225i) q^{23} +(-0.955888 - 1.44440i) q^{24} +(1.41437 - 4.79578i) q^{25} +4.77202i q^{26} +(-0.945920 - 5.10933i) q^{27} +(2.19427 - 1.26686i) q^{28} +(-1.30852 - 2.26642i) q^{29} +(2.95466 - 2.50399i) q^{30} -5.26487i q^{31} +(0.866025 - 0.500000i) q^{32} +(0.704195 + 1.06407i) q^{33} +(-1.80064 + 1.03960i) q^{34} +(3.39256 + 4.53756i) q^{35} +(2.97769 - 0.365218i) q^{36} +10.3010 q^{37} +(1.53193 - 4.08083i) q^{38} +(-7.39673 - 3.68848i) q^{39} +(1.33896 + 1.79086i) q^{40} +(-1.22616 + 2.12377i) q^{41} +(0.267628 + 4.38038i) q^{42} +(-7.46202 - 4.30820i) q^{43} +(-0.637994 + 0.368346i) q^{44} +(1.59747 + 6.51522i) q^{45} +6.24953i q^{46} +(-0.809291 - 1.40173i) q^{47} +(0.105626 + 1.72883i) q^{48} +0.580221 q^{49} +(-3.62278 + 3.44608i) q^{50} +(-0.219618 - 3.59458i) q^{51} +(2.38601 - 4.13269i) q^{52} +(-11.0525 + 6.38115i) q^{53} +(-1.73547 + 4.89777i) q^{54} +(-0.986400 - 1.31931i) q^{55} -2.53373 q^{56} +(5.14128 + 5.52876i) q^{57} +2.61704i q^{58} +(2.59700 - 4.49814i) q^{59} +(-3.81081 + 0.691189i) q^{60} +(5.07194 + 8.78486i) q^{61} +(-2.63243 + 4.55951i) q^{62} +(-6.99654 - 2.97094i) q^{63} -1.00000 q^{64} +(9.80651 + 4.20630i) q^{65} +(-0.0778138 - 1.27361i) q^{66} +(2.74400 + 4.75275i) q^{67} +2.07920 q^{68} +(-9.68690 - 4.83050i) q^{69} +(-0.669264 - 5.62592i) q^{70} +(-0.182067 + 0.315350i) q^{71} +(-2.76136 - 1.17255i) q^{72} +(2.05162 + 1.18451i) q^{73} +(-8.92092 - 5.15050i) q^{74} +(-2.54132 - 8.27899i) q^{75} +(-3.36711 + 2.76814i) q^{76} +1.86658 q^{77} +(4.56152 + 6.89268i) q^{78} +(-0.280369 - 0.161871i) q^{79} +(-0.264142 - 2.22041i) q^{80} +(-6.25023 - 6.47570i) q^{81} +(2.12377 - 1.22616i) q^{82} +12.6729 q^{83} +(1.95842 - 3.92733i) q^{84} +(0.549205 + 4.61669i) q^{85} +(4.30820 + 7.46202i) q^{86} +(-4.05646 - 2.02281i) q^{87} +0.736692 q^{88} +(-6.18913 - 10.7199i) q^{89} +(1.87416 - 6.44108i) q^{90} +(-10.4711 + 6.04550i) q^{91} +(3.12477 - 5.41225i) q^{92} +(-5.03263 - 7.60455i) q^{93} +1.61858i q^{94} +(-7.03580 - 6.74519i) q^{95} +(0.772939 - 1.55002i) q^{96} +(-5.90419 + 10.2264i) q^{97} +(-0.502487 - 0.290111i) q^{98} +(2.03427 + 0.863811i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 1.44440 0.955888i 0.833922 0.551882i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.79086 + 1.33896i −0.800898 + 0.598801i
\(6\) −1.72883 + 0.105626i −0.705791 + 0.0431216i
\(7\) 2.53373i 0.957659i −0.877908 0.478830i \(-0.841061\pi\)
0.877908 0.478830i \(-0.158939\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 1.17255 2.76136i 0.390852 0.920454i
\(10\) 2.22041 0.264142i 0.702156 0.0835291i
\(11\) 0.736692i 0.222121i 0.993814 + 0.111060i \(0.0354247\pi\)
−0.993814 + 0.111060i \(0.964575\pi\)
\(12\) 1.55002 + 0.772939i 0.447453 + 0.223128i
\(13\) −2.38601 4.13269i −0.661760 1.14620i −0.980153 0.198243i \(-0.936477\pi\)
0.318393 0.947959i \(-0.396857\pi\)
\(14\) −1.26686 + 2.19427i −0.338584 + 0.586444i
\(15\) −1.30682 + 3.64585i −0.337419 + 0.941355i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.03960 1.80064i 0.252141 0.436720i −0.711974 0.702205i \(-0.752199\pi\)
0.964115 + 0.265485i \(0.0855321\pi\)
\(18\) −2.39614 + 1.80513i −0.564776 + 0.425474i
\(19\) 0.713722 + 4.30007i 0.163739 + 0.986504i
\(20\) −2.05500 0.881452i −0.459513 0.197099i
\(21\) −2.42196 3.65970i −0.528515 0.798613i
\(22\) 0.368346 0.637994i 0.0785316 0.136021i
\(23\) −3.12477 5.41225i −0.651559 1.12853i −0.982745 0.184967i \(-0.940782\pi\)
0.331186 0.943565i \(-0.392551\pi\)
\(24\) −0.955888 1.44440i −0.195120 0.294836i
\(25\) 1.41437 4.79578i 0.282875 0.959157i
\(26\) 4.77202i 0.935870i
\(27\) −0.945920 5.10933i −0.182042 0.983291i
\(28\) 2.19427 1.26686i 0.414679 0.239415i
\(29\) −1.30852 2.26642i −0.242986 0.420863i 0.718578 0.695447i \(-0.244793\pi\)
−0.961563 + 0.274583i \(0.911460\pi\)
\(30\) 2.95466 2.50399i 0.539445 0.457164i
\(31\) 5.26487i 0.945598i −0.881170 0.472799i \(-0.843244\pi\)
0.881170 0.472799i \(-0.156756\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 0.704195 + 1.06407i 0.122585 + 0.185231i
\(34\) −1.80064 + 1.03960i −0.308808 + 0.178290i
\(35\) 3.39256 + 4.53756i 0.573447 + 0.766987i
\(36\) 2.97769 0.365218i 0.496281 0.0608697i
\(37\) 10.3010 1.69347 0.846737 0.532012i \(-0.178564\pi\)
0.846737 + 0.532012i \(0.178564\pi\)
\(38\) 1.53193 4.08083i 0.248512 0.661998i
\(39\) −7.39673 3.68848i −1.18442 0.590629i
\(40\) 1.33896 + 1.79086i 0.211708 + 0.283160i
\(41\) −1.22616 + 2.12377i −0.191494 + 0.331677i −0.945746 0.324908i \(-0.894667\pi\)
0.754252 + 0.656585i \(0.228000\pi\)
\(42\) 0.267628 + 4.38038i 0.0412958 + 0.675907i
\(43\) −7.46202 4.30820i −1.13795 0.656995i −0.192026 0.981390i \(-0.561506\pi\)
−0.945922 + 0.324395i \(0.894839\pi\)
\(44\) −0.637994 + 0.368346i −0.0961811 + 0.0555302i
\(45\) 1.59747 + 6.51522i 0.238136 + 0.971232i
\(46\) 6.24953i 0.921443i
\(47\) −0.809291 1.40173i −0.118047 0.204464i 0.800947 0.598736i \(-0.204330\pi\)
−0.918994 + 0.394272i \(0.870997\pi\)
\(48\) 0.105626 + 1.72883i 0.0152458 + 0.249535i
\(49\) 0.580221 0.0828888
\(50\) −3.62278 + 3.44608i −0.512338 + 0.487350i
\(51\) −0.219618 3.59458i −0.0307527 0.503342i
\(52\) 2.38601 4.13269i 0.330880 0.573101i
\(53\) −11.0525 + 6.38115i −1.51818 + 0.876519i −0.518404 + 0.855136i \(0.673474\pi\)
−0.999771 + 0.0213828i \(0.993193\pi\)
\(54\) −1.73547 + 4.89777i −0.236168 + 0.666502i
\(55\) −0.986400 1.31931i −0.133006 0.177896i
\(56\) −2.53373 −0.338584
\(57\) 5.14128 + 5.52876i 0.680980 + 0.732302i
\(58\) 2.61704i 0.343634i
\(59\) 2.59700 4.49814i 0.338101 0.585609i −0.645974 0.763359i \(-0.723549\pi\)
0.984076 + 0.177751i \(0.0568820\pi\)
\(60\) −3.81081 + 0.691189i −0.491973 + 0.0892322i
\(61\) 5.07194 + 8.78486i 0.649396 + 1.12479i 0.983267 + 0.182168i \(0.0583114\pi\)
−0.333872 + 0.942619i \(0.608355\pi\)
\(62\) −2.63243 + 4.55951i −0.334319 + 0.579058i
\(63\) −6.99654 2.97094i −0.881481 0.374303i
\(64\) −1.00000 −0.125000
\(65\) 9.80651 + 4.20630i 1.21635 + 0.521728i
\(66\) −0.0778138 1.27361i −0.00957821 0.156771i
\(67\) 2.74400 + 4.75275i 0.335233 + 0.580641i 0.983530 0.180747i \(-0.0578516\pi\)
−0.648296 + 0.761388i \(0.724518\pi\)
\(68\) 2.07920 0.252141
\(69\) −9.68690 4.83050i −1.16617 0.581524i
\(70\) −0.669264 5.62592i −0.0799924 0.672426i
\(71\) −0.182067 + 0.315350i −0.0216074 + 0.0374251i −0.876627 0.481171i \(-0.840212\pi\)
0.855020 + 0.518596i \(0.173545\pi\)
\(72\) −2.76136 1.17255i −0.325430 0.138187i
\(73\) 2.05162 + 1.18451i 0.240124 + 0.138636i 0.615234 0.788345i \(-0.289062\pi\)
−0.375110 + 0.926981i \(0.622395\pi\)
\(74\) −8.92092 5.15050i −1.03704 0.598733i
\(75\) −2.54132 8.27899i −0.293446 0.955976i
\(76\) −3.36711 + 2.76814i −0.386234 + 0.317527i
\(77\) 1.86658 0.212716
\(78\) 4.56152 + 6.89268i 0.516490 + 0.780442i
\(79\) −0.280369 0.161871i −0.0315440 0.0182119i 0.484145 0.874988i \(-0.339131\pi\)
−0.515689 + 0.856776i \(0.672464\pi\)
\(80\) −0.264142 2.22041i −0.0295320 0.248250i
\(81\) −6.25023 6.47570i −0.694470 0.719522i
\(82\) 2.12377 1.22616i 0.234531 0.135407i
\(83\) 12.6729 1.39103 0.695515 0.718512i \(-0.255176\pi\)
0.695515 + 0.718512i \(0.255176\pi\)
\(84\) 1.95842 3.92733i 0.213681 0.428507i
\(85\) 0.549205 + 4.61669i 0.0595697 + 0.500750i
\(86\) 4.30820 + 7.46202i 0.464565 + 0.804651i
\(87\) −4.05646 2.02281i −0.434898 0.216868i
\(88\) 0.736692 0.0785316
\(89\) −6.18913 10.7199i −0.656046 1.13631i −0.981630 0.190792i \(-0.938894\pi\)
0.325584 0.945513i \(-0.394439\pi\)
\(90\) 1.87416 6.44108i 0.197554 0.678949i
\(91\) −10.4711 + 6.04550i −1.09767 + 0.633740i
\(92\) 3.12477 5.41225i 0.325779 0.564266i
\(93\) −5.03263 7.60455i −0.521859 0.788555i
\(94\) 1.61858i 0.166944i
\(95\) −7.03580 6.74519i −0.721858 0.692042i
\(96\) 0.772939 1.55002i 0.0788877 0.158198i
\(97\) −5.90419 + 10.2264i −0.599480 + 1.03833i 0.393418 + 0.919360i \(0.371293\pi\)
−0.992898 + 0.118970i \(0.962041\pi\)
\(98\) −0.502487 0.290111i −0.0507588 0.0293056i
\(99\) 2.03427 + 0.863811i 0.204452 + 0.0868163i
\(100\) 4.86046 1.17301i 0.486046 0.117301i
\(101\) 13.1130 7.57082i 1.30480 0.753325i 0.323574 0.946203i \(-0.395116\pi\)
0.981223 + 0.192878i \(0.0617822\pi\)
\(102\) −1.60710 + 3.22281i −0.159126 + 0.319106i
\(103\) −6.38269 −0.628905 −0.314453 0.949273i \(-0.601821\pi\)
−0.314453 + 0.949273i \(0.601821\pi\)
\(104\) −4.13269 + 2.38601i −0.405243 + 0.233967i
\(105\) 9.23760 + 3.31112i 0.901497 + 0.323132i
\(106\) 12.7623 1.23958
\(107\) 3.06876i 0.296668i 0.988937 + 0.148334i \(0.0473911\pi\)
−0.988937 + 0.148334i \(0.952609\pi\)
\(108\) 3.95185 3.37385i 0.380267 0.324649i
\(109\) 4.74852 + 2.74156i 0.454826 + 0.262594i 0.709866 0.704337i \(-0.248755\pi\)
−0.255040 + 0.966930i \(0.582089\pi\)
\(110\) 0.194591 + 1.63576i 0.0185536 + 0.155963i
\(111\) 14.8787 9.84660i 1.41222 0.934598i
\(112\) 2.19427 + 1.26686i 0.207339 + 0.119707i
\(113\) 3.44589i 0.324162i 0.986777 + 0.162081i \(0.0518205\pi\)
−0.986777 + 0.162081i \(0.948179\pi\)
\(114\) −1.68810 7.35869i −0.158105 0.689204i
\(115\) 12.8428 + 5.50866i 1.19760 + 0.513685i
\(116\) 1.30852 2.26642i 0.121493 0.210432i
\(117\) −14.2096 + 1.74283i −1.31368 + 0.161124i
\(118\) −4.49814 + 2.59700i −0.414088 + 0.239074i
\(119\) −4.56234 2.63407i −0.418229 0.241465i
\(120\) 3.64585 + 1.30682i 0.332819 + 0.119295i
\(121\) 10.4573 0.950662
\(122\) 10.1439i 0.918384i
\(123\) 0.259029 + 4.23963i 0.0233558 + 0.382275i
\(124\) 4.55951 2.63243i 0.409456 0.236400i
\(125\) 3.88841 + 10.4824i 0.347790 + 0.937572i
\(126\) 4.57371 + 6.07117i 0.407459 + 0.540863i
\(127\) 5.90757 + 10.2322i 0.524212 + 0.907962i 0.999603 + 0.0281869i \(0.00897335\pi\)
−0.475391 + 0.879775i \(0.657693\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −14.8963 + 0.910116i −1.31154 + 0.0801313i
\(130\) −6.38954 8.54602i −0.560400 0.749536i
\(131\) 12.9619 + 7.48358i 1.13249 + 0.653844i 0.944560 0.328339i \(-0.106489\pi\)
0.187930 + 0.982182i \(0.439822\pi\)
\(132\) −0.569417 + 1.14189i −0.0495614 + 0.0993885i
\(133\) 10.8952 1.80838i 0.944734 0.156806i
\(134\) 5.48800i 0.474091i
\(135\) 8.53520 + 7.88355i 0.734593 + 0.678508i
\(136\) −1.80064 1.03960i −0.154404 0.0891451i
\(137\) 10.8434 + 18.7813i 0.926416 + 1.60460i 0.789269 + 0.614048i \(0.210460\pi\)
0.137147 + 0.990551i \(0.456207\pi\)
\(138\) 5.97385 + 9.02679i 0.508528 + 0.768412i
\(139\) 6.33726 + 10.9765i 0.537519 + 0.931011i 0.999037 + 0.0438798i \(0.0139719\pi\)
−0.461517 + 0.887131i \(0.652695\pi\)
\(140\) −2.23336 + 5.20682i −0.188753 + 0.440057i
\(141\) −2.50884 1.25106i −0.211282 0.105359i
\(142\) 0.315350 0.182067i 0.0264636 0.0152787i
\(143\) 3.04452 1.75775i 0.254595 0.146991i
\(144\) 1.80513 + 2.39614i 0.150428 + 0.199679i
\(145\) 5.37802 + 2.30679i 0.446620 + 0.191569i
\(146\) −1.18451 2.05162i −0.0980304 0.169794i
\(147\) 0.838069 0.554627i 0.0691228 0.0457449i
\(148\) 5.15050 + 8.92092i 0.423368 + 0.733295i
\(149\) −7.04652 4.06831i −0.577274 0.333289i 0.182775 0.983155i \(-0.441492\pi\)
−0.760049 + 0.649866i \(0.774825\pi\)
\(150\) −1.93865 + 8.44048i −0.158290 + 0.689162i
\(151\) 12.8411i 1.04499i −0.852641 0.522496i \(-0.825001\pi\)
0.852641 0.522496i \(-0.174999\pi\)
\(152\) 4.30007 0.713722i 0.348782 0.0578905i
\(153\) −3.75324 4.98207i −0.303431 0.402776i
\(154\) −1.61650 0.933288i −0.130261 0.0752065i
\(155\) 7.04945 + 9.42865i 0.566225 + 0.757328i
\(156\) −0.504049 8.24999i −0.0403562 0.660528i
\(157\) −13.5004 7.79447i −1.07745 0.622067i −0.147243 0.989100i \(-0.547040\pi\)
−0.930208 + 0.367034i \(0.880373\pi\)
\(158\) 0.161871 + 0.280369i 0.0128778 + 0.0223049i
\(159\) −9.86448 + 19.7818i −0.782304 + 1.56880i
\(160\) −0.881452 + 2.05500i −0.0696849 + 0.162462i
\(161\) −13.7132 + 7.91731i −1.08075 + 0.623971i
\(162\) 2.17501 + 8.73323i 0.170885 + 0.686147i
\(163\) 15.4275i 1.20838i 0.796842 + 0.604188i \(0.206503\pi\)
−0.796842 + 0.604188i \(0.793497\pi\)
\(164\) −2.45232 −0.191494
\(165\) −2.68587 0.962721i −0.209095 0.0749477i
\(166\) −10.9750 6.33644i −0.851828 0.491803i
\(167\) 14.1230 8.15391i 1.09287 0.630969i 0.158531 0.987354i \(-0.449324\pi\)
0.934339 + 0.356385i \(0.115991\pi\)
\(168\) −3.65970 + 2.42196i −0.282352 + 0.186858i
\(169\) −4.88607 + 8.46293i −0.375852 + 0.650994i
\(170\) 1.83272 4.27277i 0.140563 0.327707i
\(171\) 12.7109 + 3.07122i 0.972029 + 0.234862i
\(172\) 8.61640i 0.656995i
\(173\) −3.13191 1.80821i −0.238115 0.137476i 0.376195 0.926540i \(-0.377232\pi\)
−0.614310 + 0.789065i \(0.710566\pi\)
\(174\) 2.50159 + 3.78003i 0.189645 + 0.286564i
\(175\) −12.1512 3.58364i −0.918545 0.270898i
\(176\) −0.637994 0.368346i −0.0480906 0.0277651i
\(177\) −0.548622 8.97954i −0.0412370 0.674944i
\(178\) 12.3783i 0.927789i
\(179\) 3.21520 0.240315 0.120158 0.992755i \(-0.461660\pi\)
0.120158 + 0.992755i \(0.461660\pi\)
\(180\) −4.84361 + 4.64106i −0.361022 + 0.345924i
\(181\) −8.85537 + 5.11265i −0.658214 + 0.380020i −0.791596 0.611044i \(-0.790750\pi\)
0.133382 + 0.991065i \(0.457416\pi\)
\(182\) 12.0910 0.896244
\(183\) 15.7232 + 7.84060i 1.16230 + 0.579594i
\(184\) −5.41225 + 3.12477i −0.398997 + 0.230361i
\(185\) −18.4477 + 13.7926i −1.35630 + 1.01405i
\(186\) 0.556107 + 9.10205i 0.0407757 + 0.667394i
\(187\) 1.32652 + 0.765866i 0.0970047 + 0.0560057i
\(188\) 0.809291 1.40173i 0.0590236 0.102232i
\(189\) −12.9456 + 2.39670i −0.941657 + 0.174335i
\(190\) 2.72059 + 9.35940i 0.197372 + 0.679002i
\(191\) 13.0698i 0.945701i −0.881143 0.472850i \(-0.843225\pi\)
0.881143 0.472850i \(-0.156775\pi\)
\(192\) −1.44440 + 0.955888i −0.104240 + 0.0689853i
\(193\) 10.6073 18.3725i 0.763534 1.32248i −0.177485 0.984124i \(-0.556796\pi\)
0.941018 0.338355i \(-0.109871\pi\)
\(194\) 10.2264 5.90419i 0.734210 0.423896i
\(195\) 18.1852 3.29837i 1.30227 0.236201i
\(196\) 0.290111 + 0.502487i 0.0207222 + 0.0358919i
\(197\) 26.7052 1.90267 0.951333 0.308166i \(-0.0997151\pi\)
0.951333 + 0.308166i \(0.0997151\pi\)
\(198\) −1.32982 1.76522i −0.0945065 0.125449i
\(199\) −1.29996 2.25160i −0.0921519 0.159612i 0.816264 0.577678i \(-0.196041\pi\)
−0.908416 + 0.418067i \(0.862708\pi\)
\(200\) −4.79578 1.41437i −0.339113 0.100011i
\(201\) 8.50652 + 4.24189i 0.600004 + 0.299200i
\(202\) −15.1416 −1.06536
\(203\) −5.74249 + 3.31543i −0.403044 + 0.232697i
\(204\) 3.00319 1.98749i 0.210266 0.139152i
\(205\) −0.647761 5.44516i −0.0452416 0.380306i
\(206\) 5.52757 + 3.19134i 0.385124 + 0.222352i
\(207\) −18.6091 + 2.28244i −1.29342 + 0.158641i
\(208\) 4.77202 0.330880
\(209\) −3.16782 + 0.525793i −0.219123 + 0.0363699i
\(210\) −6.34443 7.48631i −0.437808 0.516604i
\(211\) 4.99550 + 2.88415i 0.343904 + 0.198553i 0.661997 0.749506i \(-0.269709\pi\)
−0.318093 + 0.948060i \(0.603042\pi\)
\(212\) −11.0525 6.38115i −0.759088 0.438259i
\(213\) 0.0384621 + 0.629525i 0.00263538 + 0.0431344i
\(214\) 1.53438 2.65762i 0.104888 0.181671i
\(215\) 19.1320 2.27596i 1.30479 0.155219i
\(216\) −5.10933 + 0.945920i −0.347646 + 0.0643617i
\(217\) −13.3397 −0.905561
\(218\) −2.74156 4.74852i −0.185682 0.321611i
\(219\) 4.09561 0.250229i 0.276756 0.0169089i
\(220\) 0.649358 1.51390i 0.0437797 0.102067i
\(221\) −9.92200 −0.667426
\(222\) −17.8086 + 1.08805i −1.19524 + 0.0730253i
\(223\) 10.6834 18.5042i 0.715412 1.23913i −0.247388 0.968917i \(-0.579572\pi\)
0.962800 0.270214i \(-0.0870945\pi\)
\(224\) −1.26686 2.19427i −0.0846459 0.146611i
\(225\) −11.5845 9.52892i −0.772297 0.635261i
\(226\) 1.72294 2.98423i 0.114608 0.198508i
\(227\) 15.4916i 1.02822i −0.857725 0.514108i \(-0.828123\pi\)
0.857725 0.514108i \(-0.171877\pi\)
\(228\) −2.21741 + 7.21686i −0.146851 + 0.477948i
\(229\) −11.7275 −0.774978 −0.387489 0.921874i \(-0.626658\pi\)
−0.387489 + 0.921874i \(0.626658\pi\)
\(230\) −8.36787 11.1920i −0.551761 0.737982i
\(231\) 2.69607 1.78424i 0.177389 0.117394i
\(232\) −2.26642 + 1.30852i −0.148798 + 0.0859084i
\(233\) −11.1235 + 19.2664i −0.728724 + 1.26219i 0.228699 + 0.973497i \(0.426553\pi\)
−0.957423 + 0.288689i \(0.906781\pi\)
\(234\) 13.1773 + 5.59545i 0.861425 + 0.365786i
\(235\) 3.32619 + 1.42670i 0.216977 + 0.0930678i
\(236\) 5.19401 0.338101
\(237\) −0.559694 + 0.0341956i −0.0363560 + 0.00222124i
\(238\) 2.63407 + 4.56234i 0.170741 + 0.295733i
\(239\) 2.85417i 0.184621i −0.995730 0.0923105i \(-0.970575\pi\)
0.995730 0.0923105i \(-0.0294252\pi\)
\(240\) −2.50399 2.95466i −0.161632 0.190723i
\(241\) −2.89433 + 1.67104i −0.186440 + 0.107641i −0.590315 0.807173i \(-0.700996\pi\)
0.403875 + 0.914814i \(0.367663\pi\)
\(242\) −9.05627 5.22864i −0.582159 0.336110i
\(243\) −15.2178 3.37894i −0.976225 0.216759i
\(244\) −5.07194 + 8.78486i −0.324698 + 0.562393i
\(245\) −1.03910 + 0.776893i −0.0663854 + 0.0496339i
\(246\) 1.89549 3.80115i 0.120852 0.242352i
\(247\) 16.0679 13.2096i 1.02238 0.840506i
\(248\) −5.26487 −0.334319
\(249\) 18.3047 12.1139i 1.16001 0.767685i
\(250\) 1.87372 11.0222i 0.118505 0.697106i
\(251\) −4.22850 + 2.44132i −0.266900 + 0.154095i −0.627478 0.778634i \(-0.715913\pi\)
0.360578 + 0.932729i \(0.382580\pi\)
\(252\) −0.925364 7.54465i −0.0582924 0.475268i
\(253\) 3.98716 2.30199i 0.250671 0.144725i
\(254\) 11.8151i 0.741348i
\(255\) 5.20631 + 6.14334i 0.326032 + 0.384711i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 2.07388 1.19736i 0.129365 0.0746890i −0.433921 0.900951i \(-0.642870\pi\)
0.563286 + 0.826262i \(0.309537\pi\)
\(258\) 13.3556 + 6.65995i 0.831484 + 0.414631i
\(259\) 26.0999i 1.62177i
\(260\) 1.26049 + 10.5958i 0.0781723 + 0.657126i
\(261\) −7.79271 + 0.955789i −0.482357 + 0.0591618i
\(262\) −7.48358 12.9619i −0.462337 0.800792i
\(263\) −4.58909 + 7.94853i −0.282975 + 0.490127i −0.972116 0.234500i \(-0.924655\pi\)
0.689141 + 0.724627i \(0.257988\pi\)
\(264\) 1.06407 0.704195i 0.0654892 0.0433402i
\(265\) 11.2494 26.2266i 0.691043 1.61109i
\(266\) −10.3397 3.88150i −0.633969 0.237990i
\(267\) −19.1866 9.56763i −1.17420 0.585530i
\(268\) −2.74400 + 4.75275i −0.167617 + 0.290320i
\(269\) 3.52258 6.10129i 0.214775 0.372002i −0.738428 0.674333i \(-0.764431\pi\)
0.953203 + 0.302331i \(0.0977647\pi\)
\(270\) −3.44992 11.0950i −0.209956 0.675218i
\(271\) −5.46433 + 9.46449i −0.331934 + 0.574927i −0.982891 0.184188i \(-0.941035\pi\)
0.650957 + 0.759115i \(0.274368\pi\)
\(272\) 1.03960 + 1.80064i 0.0630351 + 0.109180i
\(273\) −9.34560 + 18.7413i −0.565621 + 1.13427i
\(274\) 21.6868i 1.31015i
\(275\) 3.53301 + 1.04196i 0.213049 + 0.0628324i
\(276\) −0.660113 10.8044i −0.0397341 0.650346i
\(277\) 0.531383i 0.0319277i −0.999873 0.0159638i \(-0.994918\pi\)
0.999873 0.0159638i \(-0.00508166\pi\)
\(278\) 12.6745i 0.760167i
\(279\) −14.5382 6.17335i −0.870379 0.369589i
\(280\) 4.53756 3.39256i 0.271171 0.202744i
\(281\) 1.83424 + 3.17700i 0.109422 + 0.189524i 0.915536 0.402236i \(-0.131767\pi\)
−0.806114 + 0.591760i \(0.798433\pi\)
\(282\) 1.54718 + 2.33787i 0.0921335 + 0.139218i
\(283\) −17.1468 9.89972i −1.01927 0.588477i −0.105379 0.994432i \(-0.533606\pi\)
−0.913893 + 0.405955i \(0.866939\pi\)
\(284\) −0.364134 −0.0216074
\(285\) −16.6101 3.01728i −0.983899 0.178728i
\(286\) −3.51550 −0.207876
\(287\) 5.38106 + 3.10675i 0.317634 + 0.183386i
\(288\) −0.365218 2.97769i −0.0215207 0.175462i
\(289\) 6.33846 + 10.9785i 0.372850 + 0.645796i
\(290\) −3.50410 4.68675i −0.205768 0.275215i
\(291\) 1.24727 + 20.4147i 0.0731164 + 1.19673i
\(292\) 2.36901i 0.138636i
\(293\) 5.12906i 0.299643i 0.988713 + 0.149821i \(0.0478699\pi\)
−0.988713 + 0.149821i \(0.952130\pi\)
\(294\) −1.00310 + 0.0612865i −0.0585021 + 0.00357430i
\(295\) 1.37196 + 11.5328i 0.0798784 + 0.671468i
\(296\) 10.3010i 0.598733i
\(297\) 3.76400 0.696851i 0.218409 0.0404354i
\(298\) 4.06831 + 7.04652i 0.235671 + 0.408194i
\(299\) −14.9114 + 25.8274i −0.862350 + 1.49363i
\(300\) 5.89916 6.34034i 0.340588 0.366060i
\(301\) −10.9158 + 18.9067i −0.629177 + 1.08977i
\(302\) −6.42054 + 11.1207i −0.369461 + 0.639925i
\(303\) 11.7036 23.4699i 0.672352 1.34831i
\(304\) −4.08083 1.53193i −0.234052 0.0878624i
\(305\) −20.8457 8.94135i −1.19362 0.511980i
\(306\) 0.759363 + 6.19122i 0.0434099 + 0.353928i
\(307\) 10.6455 18.4385i 0.607571 1.05234i −0.384069 0.923304i \(-0.625477\pi\)
0.991640 0.129039i \(-0.0411892\pi\)
\(308\) 0.933288 + 1.61650i 0.0531790 + 0.0921088i
\(309\) −9.21913 + 6.10114i −0.524458 + 0.347082i
\(310\) −1.39067 11.6902i −0.0789850 0.663957i
\(311\) 18.5155i 1.04992i −0.851128 0.524959i \(-0.824081\pi\)
0.851128 0.524959i \(-0.175919\pi\)
\(312\) −3.68848 + 7.39673i −0.208819 + 0.418757i
\(313\) 6.00769 3.46854i 0.339575 0.196054i −0.320509 0.947245i \(-0.603854\pi\)
0.660084 + 0.751192i \(0.270521\pi\)
\(314\) 7.79447 + 13.5004i 0.439868 + 0.761873i
\(315\) 16.5078 4.04755i 0.930109 0.228053i
\(316\) 0.323742i 0.0182119i
\(317\) −23.7623 + 13.7191i −1.33462 + 0.770544i −0.986004 0.166722i \(-0.946682\pi\)
−0.348617 + 0.937265i \(0.613349\pi\)
\(318\) 18.4338 12.1993i 1.03372 0.684105i
\(319\) 1.66965 0.963974i 0.0934825 0.0539722i
\(320\) 1.79086 1.33896i 0.100112 0.0748501i
\(321\) 2.93339 + 4.43250i 0.163726 + 0.247398i
\(322\) 15.8346 0.882428
\(323\) 8.48488 + 3.18520i 0.472111 + 0.177229i
\(324\) 2.48300 8.65071i 0.137945 0.480595i
\(325\) −23.1942 + 5.59762i −1.28658 + 0.310500i
\(326\) 7.71376 13.3606i 0.427226 0.739977i
\(327\) 9.47937 0.579160i 0.524210 0.0320276i
\(328\) 2.12377 + 1.22616i 0.117266 + 0.0677033i
\(329\) −3.55161 + 2.05052i −0.195807 + 0.113049i
\(330\) 1.84467 + 2.17667i 0.101546 + 0.119822i
\(331\) 21.6261i 1.18868i −0.804214 0.594340i \(-0.797413\pi\)
0.804214 0.594340i \(-0.202587\pi\)
\(332\) 6.33644 + 10.9750i 0.347757 + 0.602334i
\(333\) 12.0785 28.4448i 0.661897 1.55876i
\(334\) −16.3078 −0.892324
\(335\) −11.2779 4.83741i −0.616176 0.264296i
\(336\) 4.38038 0.267628i 0.238969 0.0146003i
\(337\) −17.8583 + 30.9316i −0.972806 + 1.68495i −0.285812 + 0.958286i \(0.592263\pi\)
−0.686994 + 0.726663i \(0.741070\pi\)
\(338\) 8.46293 4.88607i 0.460323 0.265767i
\(339\) 3.29388 + 4.97722i 0.178899 + 0.270326i
\(340\) −3.72357 + 2.78397i −0.201939 + 0.150982i
\(341\) 3.87858 0.210037
\(342\) −9.47237 9.01522i −0.512207 0.487487i
\(343\) 19.2062i 1.03704i
\(344\) −4.30820 + 7.46202i −0.232283 + 0.402325i
\(345\) 23.8158 4.31961i 1.28220 0.232560i
\(346\) 1.80821 + 3.13191i 0.0972100 + 0.168373i
\(347\) 11.6976 20.2609i 0.627961 1.08766i −0.359999 0.932953i \(-0.617223\pi\)
0.987960 0.154708i \(-0.0494436\pi\)
\(348\) −0.276427 4.52440i −0.0148180 0.242533i
\(349\) 19.1429 1.02469 0.512347 0.858778i \(-0.328776\pi\)
0.512347 + 0.858778i \(0.328776\pi\)
\(350\) 8.73144 + 9.17913i 0.466715 + 0.490645i
\(351\) −18.8583 + 16.1001i −1.00658 + 0.859359i
\(352\) 0.368346 + 0.637994i 0.0196329 + 0.0340052i
\(353\) −26.2810 −1.39880 −0.699399 0.714732i \(-0.746549\pi\)
−0.699399 + 0.714732i \(0.746549\pi\)
\(354\) −4.01465 + 8.05083i −0.213376 + 0.427897i
\(355\) −0.0961833 0.808528i −0.00510488 0.0429122i
\(356\) 6.18913 10.7199i 0.328023 0.568153i
\(357\) −9.10770 + 0.556452i −0.482031 + 0.0294506i
\(358\) −2.78444 1.60760i −0.147162 0.0849642i
\(359\) 18.7474 + 10.8238i 0.989450 + 0.571259i 0.905110 0.425178i \(-0.139789\pi\)
0.0843398 + 0.996437i \(0.473122\pi\)
\(360\) 6.51522 1.59747i 0.343382 0.0841939i
\(361\) −17.9812 + 6.13811i −0.946379 + 0.323058i
\(362\) 10.2253 0.537430
\(363\) 15.1045 9.99600i 0.792778 0.524654i
\(364\) −10.4711 6.04550i −0.548835 0.316870i
\(365\) −5.26018 + 0.625756i −0.275330 + 0.0327536i
\(366\) −9.69642 14.6518i −0.506840 0.765861i
\(367\) −31.0887 + 17.9491i −1.62282 + 0.936935i −0.636658 + 0.771146i \(0.719684\pi\)
−0.986161 + 0.165789i \(0.946983\pi\)
\(368\) 6.24953 0.325779
\(369\) 4.42676 + 5.87610i 0.230448 + 0.305898i
\(370\) 22.8724 2.72093i 1.18908 0.141454i
\(371\) 16.1681 + 28.0040i 0.839406 + 1.45389i
\(372\) 4.06942 8.16066i 0.210990 0.423110i
\(373\) −6.39286 −0.331010 −0.165505 0.986209i \(-0.552925\pi\)
−0.165505 + 0.986209i \(0.552925\pi\)
\(374\) −0.765866 1.32652i −0.0396020 0.0685927i
\(375\) 15.6364 + 11.4238i 0.807460 + 0.589923i
\(376\) −1.40173 + 0.809291i −0.0722889 + 0.0417360i
\(377\) −6.24427 + 10.8154i −0.321596 + 0.557021i
\(378\) 12.4096 + 4.39722i 0.638282 + 0.226168i
\(379\) 4.61075i 0.236838i −0.992964 0.118419i \(-0.962217\pi\)
0.992964 0.118419i \(-0.0377826\pi\)
\(380\) 2.32360 9.46577i 0.119198 0.485584i
\(381\) 18.3137 + 9.13238i 0.938240 + 0.467866i
\(382\) −6.53492 + 11.3188i −0.334356 + 0.579121i
\(383\) −6.52926 3.76967i −0.333630 0.192621i 0.323822 0.946118i \(-0.395032\pi\)
−0.657451 + 0.753497i \(0.728366\pi\)
\(384\) 1.72883 0.105626i 0.0882238 0.00539020i
\(385\) −3.34278 + 2.49927i −0.170364 + 0.127375i
\(386\) −18.3725 + 10.6073i −0.935134 + 0.539900i
\(387\) −20.6461 + 15.5537i −1.04950 + 0.790641i
\(388\) −11.8084 −0.599480
\(389\) −10.1328 + 5.85016i −0.513752 + 0.296615i −0.734375 0.678744i \(-0.762524\pi\)
0.220623 + 0.975359i \(0.429191\pi\)
\(390\) −17.3981 6.23615i −0.880985 0.315780i
\(391\) −12.9940 −0.657137
\(392\) 0.580221i 0.0293056i
\(393\) 25.8756 1.58092i 1.30525 0.0797470i
\(394\) −23.1274 13.3526i −1.16514 0.672694i
\(395\) 0.718841 0.0855139i 0.0361688 0.00430267i
\(396\) 0.269053 + 2.19364i 0.0135204 + 0.110234i
\(397\) −18.2960 10.5632i −0.918249 0.530152i −0.0351733 0.999381i \(-0.511198\pi\)
−0.883076 + 0.469230i \(0.844532\pi\)
\(398\) 2.59993i 0.130322i
\(399\) 14.0084 13.0266i 0.701296 0.652146i
\(400\) 3.44608 + 3.62278i 0.172304 + 0.181139i
\(401\) −12.1204 + 20.9931i −0.605262 + 1.04835i 0.386748 + 0.922186i \(0.373598\pi\)
−0.992010 + 0.126160i \(0.959735\pi\)
\(402\) −5.24592 7.92685i −0.261643 0.395355i
\(403\) −21.7581 + 12.5620i −1.08385 + 0.625759i
\(404\) 13.1130 + 7.57082i 0.652398 + 0.376662i
\(405\) 19.8640 + 3.22827i 0.987050 + 0.160414i
\(406\) 6.63086 0.329084
\(407\) 7.58866i 0.376156i
\(408\) −3.59458 + 0.219618i −0.177958 + 0.0108727i
\(409\) 28.4205 16.4086i 1.40530 0.811352i 0.410372 0.911918i \(-0.365399\pi\)
0.994930 + 0.100566i \(0.0320655\pi\)
\(410\) −2.16160 + 5.03952i −0.106754 + 0.248884i
\(411\) 33.6150 + 16.7626i 1.65811 + 0.826838i
\(412\) −3.19134 5.52757i −0.157226 0.272324i
\(413\) −11.3971 6.58010i −0.560813 0.323786i
\(414\) 17.2572 + 7.32792i 0.848146 + 0.360148i
\(415\) −22.6954 + 16.9685i −1.11407 + 0.832950i
\(416\) −4.13269 2.38601i −0.202622 0.116984i
\(417\) 19.6458 + 9.79663i 0.962058 + 0.479743i
\(418\) 3.00631 + 1.12856i 0.147044 + 0.0551998i
\(419\) 14.0621i 0.686977i 0.939157 + 0.343489i \(0.111609\pi\)
−0.939157 + 0.343489i \(0.888391\pi\)
\(420\) 1.75129 + 9.65555i 0.0854540 + 0.471143i
\(421\) −3.61816 2.08894i −0.176338 0.101809i 0.409233 0.912430i \(-0.365796\pi\)
−0.585571 + 0.810621i \(0.699130\pi\)
\(422\) −2.88415 4.99550i −0.140398 0.243177i
\(423\) −4.81963 + 0.591136i −0.234338 + 0.0287420i
\(424\) 6.38115 + 11.0525i 0.309896 + 0.536756i
\(425\) −7.16511 7.53249i −0.347559 0.365379i
\(426\) 0.281454 0.564416i 0.0136365 0.0273460i
\(427\) 22.2585 12.8509i 1.07716 0.621900i
\(428\) −2.65762 + 1.53438i −0.128461 + 0.0741670i
\(429\) 2.71727 5.44911i 0.131191 0.263085i
\(430\) −17.7067 7.59495i −0.853895 0.366261i
\(431\) −14.0803 24.3877i −0.678222 1.17472i −0.975516 0.219929i \(-0.929417\pi\)
0.297294 0.954786i \(-0.403916\pi\)
\(432\) 4.89777 + 1.73547i 0.235644 + 0.0834980i
\(433\) −0.681161 1.17981i −0.0327345 0.0566978i 0.849194 0.528081i \(-0.177088\pi\)
−0.881929 + 0.471383i \(0.843755\pi\)
\(434\) 11.5526 + 6.66987i 0.554541 + 0.320164i
\(435\) 9.97302 1.80887i 0.478170 0.0867285i
\(436\) 5.48312i 0.262594i
\(437\) 21.0428 17.2996i 1.00662 0.827550i
\(438\) −3.67202 1.83110i −0.175456 0.0874934i
\(439\) −23.6014 13.6262i −1.12643 0.650345i −0.183396 0.983039i \(-0.558709\pi\)
−0.943035 + 0.332694i \(0.892042\pi\)
\(440\) −1.31931 + 0.986400i −0.0628958 + 0.0470248i
\(441\) 0.680342 1.60220i 0.0323972 0.0762953i
\(442\) 8.59270 + 4.96100i 0.408713 + 0.235971i
\(443\) −1.06718 1.84841i −0.0507032 0.0878205i 0.839560 0.543267i \(-0.182813\pi\)
−0.890263 + 0.455447i \(0.849480\pi\)
\(444\) 15.9668 + 7.96204i 0.757749 + 0.377862i
\(445\) 25.4374 + 10.9108i 1.20585 + 0.517223i
\(446\) −18.5042 + 10.6834i −0.876198 + 0.505873i
\(447\) −14.0668 + 0.859439i −0.665338 + 0.0406501i
\(448\) 2.53373i 0.119707i
\(449\) 26.4135 1.24653 0.623266 0.782010i \(-0.285805\pi\)
0.623266 + 0.782010i \(0.285805\pi\)
\(450\) 5.26798 + 14.0445i 0.248335 + 0.662065i
\(451\) −1.56456 0.903301i −0.0736724 0.0425348i
\(452\) −2.98423 + 1.72294i −0.140366 + 0.0810404i
\(453\) −12.2746 18.5476i −0.576713 0.871443i
\(454\) −7.74582 + 13.4162i −0.363529 + 0.629652i
\(455\) 10.6576 24.8470i 0.499637 1.16485i
\(456\) 5.52876 5.14128i 0.258908 0.240763i
\(457\) 9.71282i 0.454347i 0.973854 + 0.227173i \(0.0729484\pi\)
−0.973854 + 0.227173i \(0.927052\pi\)
\(458\) 10.1564 + 5.86377i 0.474575 + 0.273996i
\(459\) −10.1835 3.60840i −0.475323 0.168426i
\(460\) 1.65076 + 13.8765i 0.0769673 + 0.646997i
\(461\) 14.1536 + 8.17157i 0.659197 + 0.380588i 0.791971 0.610559i \(-0.209055\pi\)
−0.132774 + 0.991146i \(0.542388\pi\)
\(462\) −3.22699 + 0.197159i −0.150133 + 0.00917266i
\(463\) 31.7195i 1.47413i 0.675821 + 0.737066i \(0.263789\pi\)
−0.675821 + 0.737066i \(0.736211\pi\)
\(464\) 2.61704 0.121493
\(465\) 19.1949 + 6.88022i 0.890143 + 0.319062i
\(466\) 19.2664 11.1235i 0.892501 0.515285i
\(467\) 28.7636 1.33102 0.665510 0.746389i \(-0.268214\pi\)
0.665510 + 0.746389i \(0.268214\pi\)
\(468\) −8.61412 11.4344i −0.398188 0.528557i
\(469\) 12.0422 6.95255i 0.556056 0.321039i
\(470\) −2.16722 2.89866i −0.0999662 0.133705i
\(471\) −26.9506 + 1.64660i −1.24182 + 0.0758712i
\(472\) −4.49814 2.59700i −0.207044 0.119537i
\(473\) 3.17382 5.49721i 0.145932 0.252762i
\(474\) 0.501807 + 0.250233i 0.0230488 + 0.0114936i
\(475\) 21.6317 + 2.65905i 0.992529 + 0.122005i
\(476\) 5.26814i 0.241465i
\(477\) 4.66103 + 38.0021i 0.213414 + 1.74000i
\(478\) −1.42709 + 2.47178i −0.0652734 + 0.113057i
\(479\) 7.51093 4.33644i 0.343183 0.198137i −0.318496 0.947924i \(-0.603178\pi\)
0.661679 + 0.749787i \(0.269844\pi\)
\(480\) 0.691189 + 3.81081i 0.0315483 + 0.173939i
\(481\) −24.5783 42.5708i −1.12067 1.94106i
\(482\) 3.34208 0.152228
\(483\) −12.2392 + 24.5440i −0.556902 + 1.11679i
\(484\) 5.22864 + 9.05627i 0.237666 + 0.411649i
\(485\) −3.11909 26.2195i −0.141631 1.19057i
\(486\) 11.4896 + 10.5352i 0.521177 + 0.477885i
\(487\) 28.7235 1.30159 0.650793 0.759255i \(-0.274437\pi\)
0.650793 + 0.759255i \(0.274437\pi\)
\(488\) 8.78486 5.07194i 0.397672 0.229596i
\(489\) 14.7470 + 22.2834i 0.666882 + 1.00769i
\(490\) 1.28833 0.153261i 0.0582008 0.00692362i
\(491\) 13.2797 + 7.66703i 0.599304 + 0.346008i 0.768768 0.639528i \(-0.220870\pi\)
−0.169464 + 0.985536i \(0.554204\pi\)
\(492\) −3.54212 + 2.34414i −0.159691 + 0.105682i
\(493\) −5.44135 −0.245066
\(494\) −20.5200 + 3.40589i −0.923239 + 0.153238i
\(495\) −4.79971 + 1.17684i −0.215731 + 0.0528951i
\(496\) 4.55951 + 2.63243i 0.204728 + 0.118200i
\(497\) 0.799010 + 0.461309i 0.0358405 + 0.0206925i
\(498\) −21.9092 + 1.33859i −0.981776 + 0.0599835i
\(499\) 14.2737 24.7228i 0.638978 1.10674i −0.346679 0.937984i \(-0.612691\pi\)
0.985657 0.168759i \(-0.0539759\pi\)
\(500\) −7.13380 + 8.60865i −0.319033 + 0.384991i
\(501\) 12.6049 25.2775i 0.563148 1.12931i
\(502\) 4.88265 0.217923
\(503\) −7.40272 12.8219i −0.330071 0.571700i 0.652454 0.757828i \(-0.273739\pi\)
−0.982525 + 0.186128i \(0.940406\pi\)
\(504\) −2.97094 + 6.99654i −0.132336 + 0.311651i
\(505\) −13.3466 + 31.1161i −0.593917 + 1.38465i
\(506\) −4.60398 −0.204672
\(507\) 1.03219 + 16.8944i 0.0458413 + 0.750304i
\(508\) −5.90757 + 10.2322i −0.262106 + 0.453981i
\(509\) −8.13316 14.0870i −0.360496 0.624397i 0.627546 0.778579i \(-0.284059\pi\)
−0.988043 + 0.154182i \(0.950726\pi\)
\(510\) −1.43712 7.92345i −0.0636369 0.350856i
\(511\) 3.00122 5.19826i 0.132766 0.229957i
\(512\) 1.00000i 0.0441942i
\(513\) 21.2953 7.71416i 0.940212 0.340589i
\(514\) −2.39471 −0.105626
\(515\) 11.4305 8.54616i 0.503689 0.376589i
\(516\) −8.23632 12.4455i −0.362584 0.547882i
\(517\) 1.03265 0.596198i 0.0454157 0.0262208i
\(518\) −13.0500 + 22.6032i −0.573382 + 0.993127i
\(519\) −6.25217 + 0.381988i −0.274440 + 0.0167674i
\(520\) 4.20630 9.80651i 0.184459 0.430044i
\(521\) −28.1371 −1.23271 −0.616355 0.787469i \(-0.711391\pi\)
−0.616355 + 0.787469i \(0.711391\pi\)
\(522\) 7.22658 + 3.06862i 0.316299 + 0.134310i
\(523\) 2.56924 + 4.45006i 0.112345 + 0.194588i 0.916715 0.399541i \(-0.130830\pi\)
−0.804370 + 0.594128i \(0.797497\pi\)
\(524\) 14.9672i 0.653844i
\(525\) −20.9767 + 6.43901i −0.915499 + 0.281022i
\(526\) 7.94853 4.58909i 0.346572 0.200094i
\(527\) −9.48015 5.47337i −0.412962 0.238424i
\(528\) −1.27361 + 0.0778138i −0.0554269 + 0.00338641i
\(529\) −8.02832 + 13.9055i −0.349057 + 0.604585i
\(530\) −22.8555 + 17.0882i −0.992781 + 0.742265i
\(531\) −9.37587 12.4456i −0.406878 0.540093i
\(532\) 7.01371 + 8.53134i 0.304083 + 0.369880i
\(533\) 11.7025 0.506892
\(534\) 11.8322 + 17.8791i 0.512031 + 0.773704i
\(535\) −4.10894 5.49572i −0.177645 0.237601i
\(536\) 4.75275 2.74400i 0.205288 0.118523i
\(537\) 4.64402 3.07337i 0.200404 0.132626i
\(538\) −6.10129 + 3.52258i −0.263045 + 0.151869i
\(539\) 0.427444i 0.0184113i
\(540\) −2.55976 + 11.3335i −0.110154 + 0.487715i
\(541\) 12.9388 + 22.4107i 0.556282 + 0.963510i 0.997803 + 0.0662582i \(0.0211061\pi\)
−0.441520 + 0.897251i \(0.645561\pi\)
\(542\) 9.46449 5.46433i 0.406535 0.234713i
\(543\) −7.90353 + 15.8494i −0.339173 + 0.680164i
\(544\) 2.07920i 0.0891451i
\(545\) −12.1748 + 1.44832i −0.521511 + 0.0620394i
\(546\) 17.4642 11.5576i 0.747398 0.494621i
\(547\) −20.6948 35.8445i −0.884848 1.53260i −0.845888 0.533360i \(-0.820929\pi\)
−0.0389597 0.999241i \(-0.512404\pi\)
\(548\) −10.8434 + 18.7813i −0.463208 + 0.802299i
\(549\) 30.2053 3.70473i 1.28913 0.158114i
\(550\) −2.53870 2.66887i −0.108251 0.113801i
\(551\) 8.81184 7.24431i 0.375397 0.308618i
\(552\) −4.83050 + 9.68690i −0.205600 + 0.412302i
\(553\) −0.410137 + 0.710378i −0.0174408 + 0.0302084i
\(554\) −0.265691 + 0.460191i −0.0112881 + 0.0195516i
\(555\) −13.4615 + 37.5559i −0.571409 + 1.59416i
\(556\) −6.33726 + 10.9765i −0.268760 + 0.465506i
\(557\) 1.45549 + 2.52098i 0.0616710 + 0.106817i 0.895212 0.445640i \(-0.147024\pi\)
−0.833541 + 0.552457i \(0.813690\pi\)
\(558\) 9.50378 + 12.6154i 0.402327 + 0.534051i
\(559\) 41.1176i 1.73909i
\(560\) −5.62592 + 0.669264i −0.237739 + 0.0282816i
\(561\) 2.64810 0.161791i 0.111803 0.00683081i
\(562\) 3.66849i 0.154746i
\(563\) 11.7302i 0.494369i −0.968968 0.247184i \(-0.920495\pi\)
0.968968 0.247184i \(-0.0795053\pi\)
\(564\) −0.170964 2.79825i −0.00719890 0.117828i
\(565\) −4.61390 6.17111i −0.194108 0.259620i
\(566\) 9.89972 + 17.1468i 0.416116 + 0.720734i
\(567\) −16.4077 + 15.8364i −0.689057 + 0.665066i
\(568\) 0.315350 + 0.182067i 0.0132318 + 0.00763937i
\(569\) 19.9566 0.836626 0.418313 0.908303i \(-0.362622\pi\)
0.418313 + 0.908303i \(0.362622\pi\)
\(570\) 12.8761 + 10.9181i 0.539322 + 0.457309i
\(571\) −0.624912 −0.0261518 −0.0130759 0.999915i \(-0.504162\pi\)
−0.0130759 + 0.999915i \(0.504162\pi\)
\(572\) 3.04452 + 1.75775i 0.127298 + 0.0734953i
\(573\) −12.4933 18.8780i −0.521916 0.788640i
\(574\) −3.10675 5.38106i −0.129673 0.224601i
\(575\) −30.3756 + 7.33075i −1.26675 + 0.305714i
\(576\) −1.17255 + 2.76136i −0.0488565 + 0.115057i
\(577\) 31.2690i 1.30174i 0.759187 + 0.650872i \(0.225597\pi\)
−0.759187 + 0.650872i \(0.774403\pi\)
\(578\) 12.6769i 0.527290i
\(579\) −2.24082 36.6765i −0.0931254 1.52422i
\(580\) 0.691269 + 5.81090i 0.0287034 + 0.241284i
\(581\) 32.1096i 1.33213i
\(582\) 9.12716 18.3032i 0.378333 0.758694i
\(583\) −4.70094 8.14227i −0.194693 0.337218i
\(584\) 1.18451 2.05162i 0.0490152 0.0848968i
\(585\) 23.1138 22.1472i 0.955638 0.915674i
\(586\) 2.56453 4.44190i 0.105940 0.183493i
\(587\) 8.33621 14.4387i 0.344072 0.595951i −0.641113 0.767447i \(-0.721527\pi\)
0.985185 + 0.171496i \(0.0548602\pi\)
\(588\) 0.899356 + 0.448476i 0.0370888 + 0.0184948i
\(589\) 22.6393 3.75765i 0.932836 0.154831i
\(590\) 4.57827 10.6737i 0.188484 0.439430i
\(591\) 38.5728 25.5272i 1.58667 1.05005i
\(592\) −5.15050 + 8.92092i −0.211684 + 0.366648i
\(593\) −8.39521 14.5409i −0.344750 0.597125i 0.640558 0.767910i \(-0.278703\pi\)
−0.985308 + 0.170785i \(0.945370\pi\)
\(594\) −3.60814 1.27851i −0.148044 0.0524578i
\(595\) 11.6974 1.39154i 0.479548 0.0570475i
\(596\) 8.13662i 0.333289i
\(597\) −4.02994 2.00958i −0.164934 0.0822468i
\(598\) 25.8274 14.9114i 1.05616 0.609774i
\(599\) −18.1333 31.4079i −0.740908 1.28329i −0.952082 0.305842i \(-0.901062\pi\)
0.211174 0.977448i \(-0.432271\pi\)
\(600\) −8.27899 + 2.54132i −0.337988 + 0.103749i
\(601\) 15.2278i 0.621153i −0.950548 0.310577i \(-0.899478\pi\)
0.950548 0.310577i \(-0.100522\pi\)
\(602\) 18.9067 10.9158i 0.770581 0.444895i
\(603\) 16.3416 2.00432i 0.665479 0.0816222i
\(604\) 11.1207 6.42054i 0.452495 0.261248i
\(605\) −18.7276 + 14.0019i −0.761383 + 0.569258i
\(606\) −21.8705 + 14.4737i −0.888429 + 0.587955i
\(607\) 38.5686 1.56545 0.782725 0.622368i \(-0.213829\pi\)
0.782725 + 0.622368i \(0.213829\pi\)
\(608\) 2.76814 + 3.36711i 0.112263 + 0.136554i
\(609\) −5.12525 + 10.2780i −0.207685 + 0.416484i
\(610\) 13.5823 + 18.1663i 0.549929 + 0.735532i
\(611\) −3.86195 + 6.68910i −0.156238 + 0.270612i
\(612\) 2.43798 5.74143i 0.0985495 0.232084i
\(613\) 4.15957 + 2.40153i 0.168004 + 0.0969969i 0.581644 0.813443i \(-0.302410\pi\)
−0.413641 + 0.910440i \(0.635743\pi\)
\(614\) −18.4385 + 10.6455i −0.744119 + 0.429617i
\(615\) −6.14058 7.24577i −0.247612 0.292178i
\(616\) 1.86658i 0.0752065i
\(617\) −9.14813 15.8450i −0.368290 0.637897i 0.621008 0.783804i \(-0.286723\pi\)
−0.989298 + 0.145907i \(0.953390\pi\)
\(618\) 11.0346 0.674178i 0.443875 0.0271194i
\(619\) 13.3123 0.535066 0.267533 0.963549i \(-0.413792\pi\)
0.267533 + 0.963549i \(0.413792\pi\)
\(620\) −4.64073 + 10.8193i −0.186376 + 0.434515i
\(621\) −24.6972 + 21.0850i −0.991064 + 0.846112i
\(622\) −9.25775 + 16.0349i −0.371202 + 0.642941i
\(623\) −27.1613 + 15.6816i −1.08819 + 0.628269i
\(624\) 6.89268 4.56152i 0.275928 0.182607i
\(625\) −20.9991 13.5661i −0.839964 0.542642i
\(626\) −6.93708 −0.277262
\(627\) −4.07299 + 3.78754i −0.162660 + 0.151260i
\(628\) 15.5889i 0.622067i
\(629\) 10.7089 18.5484i 0.426993 0.739574i
\(630\) −16.3199 4.74862i −0.650202 0.189190i
\(631\) 14.9958 + 25.9734i 0.596972 + 1.03399i 0.993265 + 0.115862i \(0.0369629\pi\)
−0.396294 + 0.918124i \(0.629704\pi\)
\(632\) −0.161871 + 0.280369i −0.00643888 + 0.0111525i
\(633\) 9.97240 0.609283i 0.396368 0.0242168i
\(634\) 27.4383 1.08971
\(635\) −24.2802 10.4145i −0.963529 0.413286i
\(636\) −22.0638 + 1.34803i −0.874887 + 0.0534529i
\(637\) −1.38441 2.39787i −0.0548525 0.0950072i
\(638\) −1.92795 −0.0763282
\(639\) 0.657310 + 0.872518i 0.0260028 + 0.0345163i
\(640\) −2.22041 + 0.264142i −0.0877695 + 0.0104411i
\(641\) 21.3344 36.9523i 0.842659 1.45953i −0.0449792 0.998988i \(-0.514322\pi\)
0.887639 0.460541i \(-0.152345\pi\)
\(642\) −0.324141 5.30535i −0.0127928 0.209385i
\(643\) −22.4555 12.9647i −0.885557 0.511277i −0.0130704 0.999915i \(-0.504161\pi\)
−0.872487 + 0.488638i \(0.837494\pi\)
\(644\) −13.7132 7.91731i −0.540375 0.311986i
\(645\) 25.4586 21.5754i 1.00243 0.849531i
\(646\) −5.75552 7.00091i −0.226448 0.275447i
\(647\) 37.1804 1.46171 0.730856 0.682532i \(-0.239121\pi\)
0.730856 + 0.682532i \(0.239121\pi\)
\(648\) −6.47570 + 6.25023i −0.254389 + 0.245532i
\(649\) 3.31374 + 1.91319i 0.130076 + 0.0750993i
\(650\) 22.8856 + 6.74941i 0.897646 + 0.264734i
\(651\) −19.2679 + 12.7513i −0.755167 + 0.499763i
\(652\) −13.3606 + 7.71376i −0.523242 + 0.302094i
\(653\) 46.6082 1.82392 0.911960 0.410278i \(-0.134568\pi\)
0.911960 + 0.410278i \(0.134568\pi\)
\(654\) −8.49896 4.23812i −0.332335 0.165724i
\(655\) −33.2333 + 3.95346i −1.29853 + 0.154474i
\(656\) −1.22616 2.12377i −0.0478735 0.0829193i
\(657\) 5.67649 4.27638i 0.221461 0.166837i
\(658\) 4.10105 0.159875
\(659\) 21.4093 + 37.0820i 0.833988 + 1.44451i 0.894852 + 0.446363i \(0.147281\pi\)
−0.0608646 + 0.998146i \(0.519386\pi\)
\(660\) −0.509193 2.80739i −0.0198203 0.109278i
\(661\) 1.49321 0.862106i 0.0580792 0.0335320i −0.470679 0.882304i \(-0.655991\pi\)
0.528758 + 0.848772i \(0.322658\pi\)
\(662\) −10.8131 + 18.7288i −0.420262 + 0.727915i
\(663\) −14.3313 + 9.48432i −0.556581 + 0.368341i
\(664\) 12.6729i 0.491803i
\(665\) −17.0905 + 17.8268i −0.662740 + 0.691294i
\(666\) −24.6827 + 18.5946i −0.956433 + 0.720528i
\(667\) −8.17762 + 14.1641i −0.316639 + 0.548434i
\(668\) 14.1230 + 8.15391i 0.546435 + 0.315484i
\(669\) −2.25689 36.9395i −0.0872563 1.42816i
\(670\) 7.34822 + 9.82826i 0.283886 + 0.379699i
\(671\) −6.47173 + 3.73646i −0.249839 + 0.144244i
\(672\) −3.92733 1.95842i −0.151500 0.0755476i
\(673\) −25.0136 −0.964204 −0.482102 0.876115i \(-0.660126\pi\)
−0.482102 + 0.876115i \(0.660126\pi\)
\(674\) 30.9316 17.8583i 1.19144 0.687878i
\(675\) −25.8411 2.69007i −0.994625 0.103541i
\(676\) −9.77215 −0.375852
\(677\) 10.0935i 0.387924i 0.981009 + 0.193962i \(0.0621339\pi\)
−0.981009 + 0.193962i \(0.937866\pi\)
\(678\) −0.363975 5.95734i −0.0139784 0.228790i
\(679\) 25.9108 + 14.9596i 0.994366 + 0.574098i
\(680\) 4.61669 0.549205i 0.177042 0.0210611i
\(681\) −14.8083 22.3761i −0.567455 0.857452i
\(682\) −3.35895 1.93929i −0.128621 0.0742593i
\(683\) 27.4795i 1.05148i −0.850647 0.525738i \(-0.823789\pi\)
0.850647 0.525738i \(-0.176211\pi\)
\(684\) 3.69570 + 12.5436i 0.141309 + 0.479616i
\(685\) −44.5665 19.1159i −1.70280 0.730381i
\(686\) −9.60311 + 16.6331i −0.366648 + 0.635054i
\(687\) −16.9392 + 11.2102i −0.646271 + 0.427697i
\(688\) 7.46202 4.30820i 0.284487 0.164249i
\(689\) 52.7426 + 30.4510i 2.00933 + 1.16009i
\(690\) −22.7849 8.16699i −0.867405 0.310912i
\(691\) 3.74385 0.142423 0.0712114 0.997461i \(-0.477314\pi\)
0.0712114 + 0.997461i \(0.477314\pi\)
\(692\) 3.61642i 0.137476i
\(693\) 2.18866 5.15429i 0.0831404 0.195795i
\(694\) −20.2609 + 11.6976i −0.769092 + 0.444035i
\(695\) −26.0462 11.1720i −0.987989 0.423778i
\(696\) −2.02281 + 4.05646i −0.0766743 + 0.153760i
\(697\) 2.54943 + 4.41575i 0.0965667 + 0.167258i
\(698\) −16.5782 9.57144i −0.627495 0.362284i
\(699\) 2.34986 + 38.4612i 0.0888798 + 1.45473i
\(700\) −2.97209 12.3151i −0.112334 0.465466i
\(701\) 32.2898 + 18.6425i 1.21957 + 0.704118i 0.964826 0.262891i \(-0.0846759\pi\)
0.254743 + 0.967009i \(0.418009\pi\)
\(702\) 24.3818 4.51395i 0.920232 0.170368i
\(703\) 7.35205 + 44.2950i 0.277288 + 1.67062i
\(704\) 0.736692i 0.0277651i
\(705\) 6.16811 1.11875i 0.232304 0.0421344i
\(706\) 22.7600 + 13.1405i 0.856585 + 0.494550i
\(707\) −19.1824 33.2249i −0.721428 1.24955i
\(708\) 7.50220 4.96489i 0.281950 0.186592i
\(709\) −22.4207 38.8338i −0.842027 1.45843i −0.888179 0.459499i \(-0.848029\pi\)
0.0461519 0.998934i \(-0.485304\pi\)
\(710\) −0.320967 + 0.748298i −0.0120457 + 0.0280831i
\(711\) −0.775732 + 0.584397i −0.0290922 + 0.0219166i
\(712\) −10.7199 + 6.18913i −0.401745 + 0.231947i
\(713\) −28.4948 + 16.4515i −1.06714 + 0.616113i
\(714\) 8.16573 + 4.07195i 0.305595 + 0.152389i
\(715\) −3.09875 + 7.22438i −0.115887 + 0.270176i
\(716\) 1.60760 + 2.78444i 0.0600788 + 0.104060i
\(717\) −2.72827 4.12255i −0.101889 0.153959i
\(718\) −10.8238 18.7474i −0.403941 0.699646i
\(719\) −23.0640 13.3160i −0.860141 0.496603i 0.00391864 0.999992i \(-0.498753\pi\)
−0.864059 + 0.503390i \(0.832086\pi\)
\(720\) −6.44108 1.87416i −0.240045 0.0698459i
\(721\) 16.1720i 0.602277i
\(722\) 18.6412 + 3.67484i 0.693755 + 0.136763i
\(723\) −2.58323 + 5.18030i −0.0960712 + 0.192657i
\(724\) −8.85537 5.11265i −0.329107 0.190010i
\(725\) −12.7200 + 3.06981i −0.472409 + 0.114010i
\(726\) −18.0788 + 1.10456i −0.670969 + 0.0409941i
\(727\) 0.844783 + 0.487735i 0.0313313 + 0.0180891i 0.515584 0.856839i \(-0.327575\pi\)
−0.484253 + 0.874928i \(0.660908\pi\)
\(728\) 6.04550 + 10.4711i 0.224061 + 0.388085i
\(729\) −25.2105 + 9.66603i −0.933721 + 0.358001i
\(730\) 4.86833 + 2.08817i 0.180185 + 0.0772866i
\(731\) −15.5151 + 8.95763i −0.573846 + 0.331310i
\(732\) 1.07146 + 17.5370i 0.0396022 + 0.648187i
\(733\) 19.5654i 0.722665i 0.932437 + 0.361332i \(0.117678\pi\)
−0.932437 + 0.361332i \(0.882322\pi\)
\(734\) 35.8982 1.32503
\(735\) −0.758243 + 2.11540i −0.0279682 + 0.0780277i
\(736\) −5.41225 3.12477i −0.199498 0.115180i
\(737\) −3.50131 + 2.02148i −0.128972 + 0.0744623i
\(738\) −0.895631 7.30223i −0.0329686 0.268799i
\(739\) −16.2565 + 28.1571i −0.598006 + 1.03578i 0.395109 + 0.918634i \(0.370707\pi\)
−0.993115 + 0.117143i \(0.962626\pi\)
\(740\) −21.1686 9.07983i −0.778173 0.333781i
\(741\) 10.5815 34.4390i 0.388721 1.26515i
\(742\) 32.3362i 1.18710i
\(743\) 32.7180 + 18.8897i 1.20031 + 0.692998i 0.960623 0.277854i \(-0.0896230\pi\)
0.239683 + 0.970851i \(0.422956\pi\)
\(744\) −7.60455 + 5.03263i −0.278796 + 0.184505i
\(745\) 18.0667 2.14923i 0.661911 0.0787415i
\(746\) 5.53638 + 3.19643i 0.202701 + 0.117030i
\(747\) 14.8597 34.9944i 0.543686 1.28038i
\(748\) 1.53173i 0.0560057i
\(749\) 7.77540 0.284107
\(750\) −7.82961 17.7115i −0.285897 0.646733i
\(751\) 1.16537 0.672824i 0.0425248 0.0245517i −0.478587 0.878040i \(-0.658851\pi\)
0.521112 + 0.853488i \(0.325517\pi\)
\(752\) 1.61858 0.0590236
\(753\) −3.77399 + 7.56821i −0.137532 + 0.275801i
\(754\) 10.8154 6.24427i 0.393873 0.227403i
\(755\) 17.1937 + 22.9966i 0.625743 + 0.836933i
\(756\) −8.54843 10.0129i −0.310903 0.364166i
\(757\) 14.6311 + 8.44728i 0.531777 + 0.307022i 0.741740 0.670688i \(-0.234001\pi\)
−0.209963 + 0.977709i \(0.567334\pi\)
\(758\) −2.30537 + 3.99303i −0.0837350 + 0.145033i
\(759\) 3.55859 7.13626i 0.129169 0.259030i
\(760\) −6.74519 + 7.03580i −0.244674 + 0.255215i
\(761\) 38.1541i 1.38309i 0.722336 + 0.691543i \(0.243069\pi\)
−0.722336 + 0.691543i \(0.756931\pi\)
\(762\) −11.2940 17.0657i −0.409137 0.618226i
\(763\) 6.94637 12.0315i 0.251476 0.435568i
\(764\) 11.3188 6.53492i 0.409500 0.236425i
\(765\) 13.3923 + 3.89677i 0.484200 + 0.140888i
\(766\) 3.76967 + 6.52926i 0.136204 + 0.235912i
\(767\) −24.7859 −0.894967
\(768\) −1.55002 0.772939i −0.0559316 0.0278910i
\(769\) 2.27302 + 3.93699i 0.0819673 + 0.141971i 0.904095 0.427332i \(-0.140546\pi\)
−0.822128 + 0.569303i \(0.807213\pi\)
\(770\) 4.14457 0.493041i 0.149360 0.0177680i
\(771\) 1.85096 3.71185i 0.0666609 0.133679i
\(772\) 21.2147 0.763534
\(773\) −12.6054 + 7.27776i −0.453387 + 0.261763i −0.709259 0.704948i \(-0.750970\pi\)
0.255873 + 0.966710i \(0.417637\pi\)
\(774\) 25.6569 3.14687i 0.922220 0.113112i
\(775\) −25.2492 7.44649i −0.906977 0.267486i