Properties

Label 225.2.w.a.113.8
Level $225$
Weight $2$
Character 225.113
Analytic conductor $1.797$
Analytic rank $0$
Dimension $448$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 225.w (of order \(60\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(448\)
Relative dimension: \(28\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 113.8
Character \(\chi\) \(=\) 225.113
Dual form 225.2.w.a.2.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26732 + 1.02626i) q^{2} +(0.979850 + 1.42825i) q^{3} +(0.137078 - 0.644900i) q^{4} +(-1.08873 - 1.95312i) q^{5} +(-2.70753 - 0.804473i) q^{6} +(-3.51917 - 0.942959i) q^{7} +(-0.992568 - 1.94802i) q^{8} +(-1.07979 + 2.79894i) q^{9} +O(q^{10})\) \(q+(-1.26732 + 1.02626i) q^{2} +(0.979850 + 1.42825i) q^{3} +(0.137078 - 0.644900i) q^{4} +(-1.08873 - 1.95312i) q^{5} +(-2.70753 - 0.804473i) q^{6} +(-3.51917 - 0.942959i) q^{7} +(-0.992568 - 1.94802i) q^{8} +(-1.07979 + 2.79894i) q^{9} +(3.38417 + 1.35792i) q^{10} +(-4.73499 - 0.497667i) q^{11} +(1.05539 - 0.436124i) q^{12} +(-2.32419 + 2.87014i) q^{13} +(5.42764 - 2.41654i) q^{14} +(1.72275 - 3.46874i) q^{15} +(4.46169 + 1.98647i) q^{16} +(-2.54982 + 1.29920i) q^{17} +(-1.50399 - 4.65530i) q^{18} +(6.31730 + 2.05262i) q^{19} +(-1.40881 + 0.434391i) q^{20} +(-2.10148 - 5.95021i) q^{21} +(6.51148 - 4.22861i) q^{22} +(-0.919867 + 2.39633i) q^{23} +(1.80970 - 3.32641i) q^{24} +(-2.62935 + 4.25283i) q^{25} -6.02261i q^{26} +(-5.05561 + 1.20033i) q^{27} +(-1.09051 + 2.14025i) q^{28} +(2.82765 - 3.14043i) q^{29} +(1.37653 + 6.16399i) q^{30} +(-0.908934 - 1.00947i) q^{31} +(-3.46938 + 0.929618i) q^{32} +(-3.92878 - 7.25038i) q^{33} +(1.89813 - 4.26327i) q^{34} +(1.98971 + 7.89999i) q^{35} +(1.65702 + 1.08003i) q^{36} +(0.242591 - 1.53166i) q^{37} +(-10.1126 + 3.88185i) q^{38} +(-6.37664 - 0.507221i) q^{39} +(-2.72409 + 4.05947i) q^{40} +(0.830574 - 0.0872968i) q^{41} +(8.76970 + 5.38417i) q^{42} +(-1.23082 + 4.59349i) q^{43} +(-0.970006 + 2.98537i) q^{44} +(6.64225 - 0.938324i) q^{45} +(-1.29349 - 3.98095i) q^{46} +(4.08223 - 0.213941i) q^{47} +(1.53461 + 8.31885i) q^{48} +(5.43322 + 3.13687i) q^{49} +(-1.03226 - 8.08808i) q^{50} +(-4.35402 - 2.36876i) q^{51} +(1.53236 + 1.89230i) q^{52} +(2.05548 + 1.04732i) q^{53} +(5.17524 - 6.70956i) q^{54} +(4.18310 + 9.78981i) q^{55} +(1.65611 + 7.79139i) q^{56} +(3.25836 + 11.0339i) q^{57} +(-0.360661 + 6.88183i) q^{58} +(1.22755 + 11.6793i) q^{59} +(-2.00084 - 1.58649i) q^{60} +(0.806761 - 7.67582i) q^{61} +(2.18789 + 0.346528i) q^{62} +(6.43925 - 8.83175i) q^{63} +(-2.29860 + 3.16376i) q^{64} +(8.13614 + 1.41463i) q^{65} +(12.4198 + 5.15662i) q^{66} +(-10.4288 - 0.546548i) q^{67} +(0.488329 + 1.82247i) q^{68} +(-4.32389 + 1.03425i) q^{69} +(-10.6290 - 7.96987i) q^{70} +(-10.9516 + 3.55840i) q^{71} +(6.52417 - 0.674682i) q^{72} +(-2.51103 - 15.8540i) q^{73} +(1.26444 + 2.19007i) q^{74} +(-8.65046 + 0.411770i) q^{75} +(2.18969 - 3.79266i) q^{76} +(16.1940 + 6.21628i) q^{77} +(8.60179 - 5.90126i) q^{78} +(-6.41701 - 5.77790i) q^{79} +(-0.977746 - 10.8769i) q^{80} +(-6.66811 - 6.04452i) q^{81} +(-0.963015 + 0.963015i) q^{82} +(-5.32431 + 8.19871i) q^{83} +(-4.12535 + 0.539602i) q^{84} +(5.31355 + 3.56563i) q^{85} +(-3.15426 - 7.08457i) q^{86} +(7.25599 + 0.961445i) q^{87} +(3.73033 + 9.71784i) q^{88} +(-2.03131 - 1.47583i) q^{89} +(-7.45491 + 8.00582i) q^{90} +(10.8857 - 7.90890i) q^{91} +(1.41930 + 0.921706i) q^{92} +(0.551161 - 2.28732i) q^{93} +(-4.95394 + 4.46055i) q^{94} +(-2.86882 - 14.5732i) q^{95} +(-4.72720 - 4.04426i) q^{96} +(0.188909 + 3.60460i) q^{97} +(-10.1049 + 1.60045i) q^{98} +(6.50572 - 12.7156i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 448 q - 24 q^{2} - 14 q^{3} - 10 q^{4} - 24 q^{5} - 12 q^{6} - 8 q^{7} - 20 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 448 q - 24 q^{2} - 14 q^{3} - 10 q^{4} - 24 q^{5} - 12 q^{6} - 8 q^{7} - 20 q^{9} - 32 q^{10} - 18 q^{11} - 14 q^{12} - 8 q^{13} - 30 q^{14} - 14 q^{15} - 50 q^{16} - 56 q^{18} - 40 q^{19} - 48 q^{20} - 12 q^{21} - 48 q^{23} + 16 q^{25} - 38 q^{27} - 24 q^{28} - 30 q^{29} - 50 q^{30} - 6 q^{31} - 60 q^{32} - 8 q^{33} - 10 q^{34} + 4 q^{36} - 44 q^{37} - 60 q^{39} - 16 q^{40} - 18 q^{41} + 174 q^{42} - 8 q^{43} - 64 q^{45} - 24 q^{46} - 18 q^{47} - 100 q^{48} + 24 q^{50} - 32 q^{51} + 24 q^{52} - 150 q^{54} - 24 q^{55} - 18 q^{56} - 94 q^{57} - 4 q^{58} + 202 q^{60} - 6 q^{61} - 46 q^{63} - 40 q^{64} - 96 q^{65} + 12 q^{66} - 14 q^{67} + 288 q^{68} + 50 q^{69} - 28 q^{70} + 102 q^{72} - 32 q^{73} + 18 q^{75} - 32 q^{76} + 216 q^{77} + 182 q^{78} - 10 q^{79} - 32 q^{81} - 72 q^{82} + 36 q^{83} + 100 q^{84} - 32 q^{85} - 18 q^{86} + 48 q^{87} - 28 q^{88} + 106 q^{90} - 24 q^{91} + 30 q^{92} + 8 q^{93} - 130 q^{94} + 6 q^{95} - 60 q^{96} - 38 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{19}{20}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26732 + 1.02626i −0.896132 + 0.725673i −0.962258 0.272138i \(-0.912269\pi\)
0.0661265 + 0.997811i \(0.478936\pi\)
\(3\) 0.979850 + 1.42825i 0.565717 + 0.824600i
\(4\) 0.137078 0.644900i 0.0685388 0.322450i
\(5\) −1.08873 1.95312i −0.486894 0.873461i
\(6\) −2.70753 0.804473i −1.10535 0.328425i
\(7\) −3.51917 0.942959i −1.33012 0.356405i −0.477361 0.878707i \(-0.658407\pi\)
−0.852761 + 0.522302i \(0.825073\pi\)
\(8\) −0.992568 1.94802i −0.350926 0.688731i
\(9\) −1.07979 + 2.79894i −0.359930 + 0.932979i
\(10\) 3.38417 + 1.35792i 1.07017 + 0.429411i
\(11\) −4.73499 0.497667i −1.42765 0.150052i −0.641044 0.767504i \(-0.721498\pi\)
−0.786608 + 0.617452i \(0.788165\pi\)
\(12\) 1.05539 0.436124i 0.304666 0.125898i
\(13\) −2.32419 + 2.87014i −0.644616 + 0.796034i −0.989794 0.142503i \(-0.954485\pi\)
0.345179 + 0.938537i \(0.387818\pi\)
\(14\) 5.42764 2.41654i 1.45060 0.645848i
\(15\) 1.72275 3.46874i 0.444812 0.895624i
\(16\) 4.46169 + 1.98647i 1.11542 + 0.496618i
\(17\) −2.54982 + 1.29920i −0.618422 + 0.315102i −0.734987 0.678081i \(-0.762812\pi\)
0.116565 + 0.993183i \(0.462812\pi\)
\(18\) −1.50399 4.65530i −0.354494 1.09726i
\(19\) 6.31730 + 2.05262i 1.44929 + 0.470903i 0.924780 0.380502i \(-0.124249\pi\)
0.524509 + 0.851405i \(0.324249\pi\)
\(20\) −1.40881 + 0.434391i −0.315019 + 0.0971327i
\(21\) −2.10148 5.95021i −0.458580 1.29844i
\(22\) 6.51148 4.22861i 1.38825 0.901542i
\(23\) −0.919867 + 2.39633i −0.191805 + 0.499670i −0.995433 0.0954622i \(-0.969567\pi\)
0.803628 + 0.595133i \(0.202900\pi\)
\(24\) 1.80970 3.32641i 0.369403 0.679000i
\(25\) −2.62935 + 4.25283i −0.525869 + 0.850565i
\(26\) 6.02261i 1.18113i
\(27\) −5.05561 + 1.20033i −0.972953 + 0.231004i
\(28\) −1.09051 + 2.14025i −0.206088 + 0.404470i
\(29\) 2.82765 3.14043i 0.525082 0.583163i −0.421012 0.907055i \(-0.638325\pi\)
0.946094 + 0.323892i \(0.104992\pi\)
\(30\) 1.37653 + 6.16399i 0.251320 + 1.12539i
\(31\) −0.908934 1.00947i −0.163249 0.181307i 0.655970 0.754787i \(-0.272260\pi\)
−0.819220 + 0.573480i \(0.805593\pi\)
\(32\) −3.46938 + 0.929618i −0.613306 + 0.164335i
\(33\) −3.92878 7.25038i −0.683913 1.26213i
\(34\) 1.89813 4.26327i 0.325527 0.731145i
\(35\) 1.98971 + 7.89999i 0.336322 + 1.33534i
\(36\) 1.65702 + 1.08003i 0.276170 + 0.180005i
\(37\) 0.242591 1.53166i 0.0398818 0.251803i −0.959690 0.281060i \(-0.909314\pi\)
0.999572 + 0.0292566i \(0.00931398\pi\)
\(38\) −10.1126 + 3.88185i −1.64048 + 0.629719i
\(39\) −6.37664 0.507221i −1.02108 0.0812203i
\(40\) −2.72409 + 4.05947i −0.430716 + 0.641859i
\(41\) 0.830574 0.0872968i 0.129714 0.0136335i −0.0394490 0.999222i \(-0.512560\pi\)
0.169163 + 0.985588i \(0.445894\pi\)
\(42\) 8.76970 + 5.38417i 1.35319 + 0.830796i
\(43\) −1.23082 + 4.59349i −0.187699 + 0.700501i 0.806338 + 0.591455i \(0.201446\pi\)
−0.994037 + 0.109046i \(0.965220\pi\)
\(44\) −0.970006 + 2.98537i −0.146234 + 0.450062i
\(45\) 6.64225 0.938324i 0.990169 0.139877i
\(46\) −1.29349 3.98095i −0.190714 0.586959i
\(47\) 4.08223 0.213941i 0.595454 0.0312064i 0.247771 0.968819i \(-0.420302\pi\)
0.347683 + 0.937612i \(0.386969\pi\)
\(48\) 1.53461 + 8.31885i 0.221502 + 1.20072i
\(49\) 5.43322 + 3.13687i 0.776174 + 0.448125i
\(50\) −1.03226 8.08808i −0.145984 1.14383i
\(51\) −4.35402 2.36876i −0.609685 0.331692i
\(52\) 1.53236 + 1.89230i 0.212500 + 0.262415i
\(53\) 2.05548 + 1.04732i 0.282342 + 0.143861i 0.589427 0.807822i \(-0.299354\pi\)
−0.307085 + 0.951682i \(0.599354\pi\)
\(54\) 5.17524 6.70956i 0.704260 0.913056i
\(55\) 4.18310 + 9.78981i 0.564050 + 1.32006i
\(56\) 1.65611 + 7.79139i 0.221307 + 1.04117i
\(57\) 3.25836 + 11.0339i 0.431581 + 1.46148i
\(58\) −0.360661 + 6.88183i −0.0473572 + 0.903629i
\(59\) 1.22755 + 11.6793i 0.159813 + 1.52052i 0.721062 + 0.692870i \(0.243654\pi\)
−0.561249 + 0.827647i \(0.689679\pi\)
\(60\) −2.00084 1.58649i −0.258307 0.204815i
\(61\) 0.806761 7.67582i 0.103295 0.982788i −0.812994 0.582271i \(-0.802164\pi\)
0.916290 0.400516i \(-0.131169\pi\)
\(62\) 2.18789 + 0.346528i 0.277863 + 0.0440091i
\(63\) 6.43925 8.83175i 0.811269 1.11270i
\(64\) −2.29860 + 3.16376i −0.287326 + 0.395470i
\(65\) 8.13614 + 1.41463i 1.00916 + 0.175463i
\(66\) 12.4198 + 5.15662i 1.52877 + 0.634736i
\(67\) −10.4288 0.546548i −1.27408 0.0667715i −0.596733 0.802440i \(-0.703535\pi\)
−0.677342 + 0.735668i \(0.736868\pi\)
\(68\) 0.488329 + 1.82247i 0.0592186 + 0.221007i
\(69\) −4.32389 + 1.03425i −0.520536 + 0.124509i
\(70\) −10.6290 7.96987i −1.27041 0.952582i
\(71\) −10.9516 + 3.55840i −1.29972 + 0.422304i −0.875484 0.483247i \(-0.839457\pi\)
−0.424236 + 0.905552i \(0.639457\pi\)
\(72\) 6.52417 0.674682i 0.768880 0.0795120i
\(73\) −2.51103 15.8540i −0.293894 1.85557i −0.485679 0.874137i \(-0.661428\pi\)
0.191785 0.981437i \(-0.438572\pi\)
\(74\) 1.26444 + 2.19007i 0.146988 + 0.254590i
\(75\) −8.65046 + 0.411770i −0.998869 + 0.0475471i
\(76\) 2.18969 3.79266i 0.251175 0.435048i
\(77\) 16.1940 + 6.21628i 1.84547 + 0.708410i
\(78\) 8.60179 5.90126i 0.973961 0.668186i
\(79\) −6.41701 5.77790i −0.721970 0.650065i 0.223899 0.974612i \(-0.428121\pi\)
−0.945869 + 0.324547i \(0.894788\pi\)
\(80\) −0.977746 10.8769i −0.109315 1.21608i
\(81\) −6.66811 6.04452i −0.740901 0.671614i
\(82\) −0.963015 + 0.963015i −0.106347 + 0.106347i
\(83\) −5.32431 + 8.19871i −0.584418 + 0.899926i −0.999953 0.00965169i \(-0.996928\pi\)
0.415535 + 0.909577i \(0.363594\pi\)
\(84\) −4.12535 + 0.539602i −0.450113 + 0.0588754i
\(85\) 5.31355 + 3.56563i 0.576335 + 0.386747i
\(86\) −3.15426 7.08457i −0.340132 0.763949i
\(87\) 7.25599 + 0.961445i 0.777923 + 0.103078i
\(88\) 3.73033 + 9.71784i 0.397654 + 1.03593i
\(89\) −2.03131 1.47583i −0.215318 0.156438i 0.474898 0.880041i \(-0.342485\pi\)
−0.690217 + 0.723603i \(0.742485\pi\)
\(90\) −7.45491 + 8.00582i −0.785817 + 0.843887i
\(91\) 10.8857 7.90890i 1.14113 0.829078i
\(92\) 1.41930 + 0.921706i 0.147972 + 0.0960945i
\(93\) 0.551161 2.28732i 0.0571527 0.237184i
\(94\) −4.95394 + 4.46055i −0.510960 + 0.460070i
\(95\) −2.86882 14.5732i −0.294334 1.49518i
\(96\) −4.72720 4.04426i −0.482468 0.412765i
\(97\) 0.188909 + 3.60460i 0.0191808 + 0.365992i 0.991310 + 0.131546i \(0.0419941\pi\)
−0.972129 + 0.234446i \(0.924673\pi\)
\(98\) −10.1049 + 1.60045i −1.02075 + 0.161670i
\(99\) 6.50572 12.7156i 0.653850 1.27796i
\(100\) 2.38222 + 2.27863i 0.238222 + 0.227863i
\(101\) −3.80678 + 2.19784i −0.378789 + 0.218694i −0.677291 0.735715i \(-0.736846\pi\)
0.298502 + 0.954409i \(0.403513\pi\)
\(102\) 7.94890 1.46636i 0.787058 0.145192i
\(103\) 4.87026 + 7.49955i 0.479881 + 0.738952i 0.992839 0.119462i \(-0.0381168\pi\)
−0.512958 + 0.858414i \(0.671450\pi\)
\(104\) 7.89803 + 1.67878i 0.774465 + 0.164618i
\(105\) −9.33353 + 10.5826i −0.910860 + 1.03276i
\(106\) −3.67978 + 0.782161i −0.357412 + 0.0759702i
\(107\) −11.5058 11.5058i −1.11231 1.11231i −0.992838 0.119468i \(-0.961881\pi\)
−0.119468 0.992838i \(-0.538119\pi\)
\(108\) 0.0810826 + 3.42490i 0.00780218 + 0.329561i
\(109\) −6.85156 9.43036i −0.656260 0.903265i 0.343090 0.939303i \(-0.388526\pi\)
−0.999350 + 0.0360376i \(0.988526\pi\)
\(110\) −15.3482 8.11390i −1.46339 0.773630i
\(111\) 2.42530 1.15432i 0.230199 0.109563i
\(112\) −13.8283 11.1979i −1.30665 1.05811i
\(113\) 8.43405 + 6.82976i 0.793408 + 0.642489i 0.937857 0.347023i \(-0.112807\pi\)
−0.144448 + 0.989512i \(0.546141\pi\)
\(114\) −15.4530 10.6396i −1.44731 0.996493i
\(115\) 5.68181 0.812345i 0.529832 0.0757516i
\(116\) −1.63765 2.25403i −0.152052 0.209282i
\(117\) −5.52371 9.60442i −0.510667 0.887929i
\(118\) −13.5417 13.5417i −1.24661 1.24661i
\(119\) 10.1983 2.16773i 0.934881 0.198715i
\(120\) −8.46713 + 0.0869963i −0.772940 + 0.00794164i
\(121\) 11.4128 + 2.42587i 1.03753 + 0.220533i
\(122\) 6.85493 + 10.5557i 0.620617 + 0.955666i
\(123\) 0.938519 + 1.10073i 0.0846234 + 0.0992493i
\(124\) −0.775604 + 0.447795i −0.0696513 + 0.0402132i
\(125\) 11.1689 + 0.505260i 0.998978 + 0.0451918i
\(126\) 0.903045 + 17.8010i 0.0804496 + 1.58584i
\(127\) −2.82088 + 0.446784i −0.250313 + 0.0396456i −0.280330 0.959904i \(-0.590444\pi\)
0.0300171 + 0.999549i \(0.490444\pi\)
\(128\) −0.709714 13.5422i −0.0627305 1.19697i
\(129\) −7.76667 + 2.74301i −0.683817 + 0.241509i
\(130\) −11.7629 + 6.55698i −1.03167 + 0.575085i
\(131\) −10.8047 + 9.72857i −0.944009 + 0.849989i −0.988836 0.149006i \(-0.952393\pi\)
0.0448278 + 0.998995i \(0.485726\pi\)
\(132\) −5.21431 + 1.53981i −0.453848 + 0.134023i
\(133\) −20.2961 13.1805i −1.75990 1.14289i
\(134\) 13.7775 10.0099i 1.19019 0.864726i
\(135\) 7.84857 + 8.56738i 0.675498 + 0.737362i
\(136\) 5.06174 + 3.67757i 0.434041 + 0.315349i
\(137\) −0.124897 0.325367i −0.0106706 0.0277980i 0.928142 0.372227i \(-0.121406\pi\)
−0.938812 + 0.344429i \(0.888072\pi\)
\(138\) 4.41836 5.74815i 0.376116 0.489315i
\(139\) −0.460243 1.03372i −0.0390373 0.0876793i 0.892974 0.450108i \(-0.148614\pi\)
−0.932012 + 0.362428i \(0.881948\pi\)
\(140\) 5.36744 0.200249i 0.453632 0.0169241i
\(141\) 4.30553 + 5.62081i 0.362591 + 0.473357i
\(142\) 10.2274 15.7488i 0.858265 1.32161i
\(143\) 12.4334 12.4334i 1.03973 1.03973i
\(144\) −10.3777 + 10.3430i −0.864808 + 0.861919i
\(145\) −9.21217 2.10368i −0.765029 0.174701i
\(146\) 19.4526 + 17.5152i 1.60991 + 1.44957i
\(147\) 0.843508 + 10.8337i 0.0695713 + 0.893545i
\(148\) −0.954514 0.366403i −0.0784605 0.0301182i
\(149\) 6.32656 10.9579i 0.518292 0.897708i −0.481482 0.876456i \(-0.659901\pi\)
0.999774 0.0212520i \(-0.00676523\pi\)
\(150\) 10.5403 9.39944i 0.860615 0.767461i
\(151\) 11.8910 + 20.5957i 0.967672 + 1.67606i 0.702258 + 0.711922i \(0.252175\pi\)
0.265414 + 0.964135i \(0.414491\pi\)
\(152\) −2.27181 14.3436i −0.184268 1.16342i
\(153\) −0.883109 8.53965i −0.0713951 0.690390i
\(154\) −26.9024 + 8.74113i −2.16786 + 0.704381i
\(155\) −0.982041 + 2.87430i −0.0788794 + 0.230869i
\(156\) −1.20120 + 4.04276i −0.0961730 + 0.323680i
\(157\) −0.890963 3.32512i −0.0711066 0.265373i 0.921216 0.389052i \(-0.127197\pi\)
−0.992322 + 0.123679i \(0.960531\pi\)
\(158\) 14.0620 + 0.736960i 1.11872 + 0.0586294i
\(159\) 0.518230 + 3.96196i 0.0410983 + 0.314204i
\(160\) 5.59287 + 5.76402i 0.442155 + 0.455686i
\(161\) 5.49682 7.56572i 0.433210 0.596262i
\(162\) 14.6539 + 0.817161i 1.15132 + 0.0642022i
\(163\) 16.5970 + 2.62870i 1.29997 + 0.205896i 0.767773 0.640722i \(-0.221365\pi\)
0.532202 + 0.846618i \(0.321365\pi\)
\(164\) 0.0575554 0.547603i 0.00449432 0.0427606i
\(165\) −9.88348 + 15.5671i −0.769428 + 1.21189i
\(166\) −1.66638 15.8545i −0.129336 1.23055i
\(167\) 0.244341 4.66230i 0.0189077 0.360780i −0.972748 0.231865i \(-0.925517\pi\)
0.991656 0.128915i \(-0.0411494\pi\)
\(168\) −9.50530 + 9.99972i −0.733350 + 0.771495i
\(169\) −0.132978 0.625615i −0.0102291 0.0481242i
\(170\) −10.3932 + 0.934264i −0.797124 + 0.0716548i
\(171\) −12.5665 + 15.4654i −0.960984 + 1.18267i
\(172\) 2.79362 + 1.42342i 0.213012 + 0.108535i
\(173\) 0.142684 + 0.176200i 0.0108480 + 0.0133962i 0.782541 0.622599i \(-0.213923\pi\)
−0.771693 + 0.635995i \(0.780590\pi\)
\(174\) −10.1824 + 6.22805i −0.771923 + 0.472147i
\(175\) 13.2634 12.4871i 1.00262 0.943933i
\(176\) −20.1374 11.6264i −1.51792 0.876370i
\(177\) −15.4782 + 13.1972i −1.16341 + 0.991963i
\(178\) 4.08890 0.214290i 0.306476 0.0160617i
\(179\) 7.22981 + 22.2511i 0.540382 + 1.66312i 0.731725 + 0.681600i \(0.238716\pi\)
−0.191343 + 0.981523i \(0.561284\pi\)
\(180\) 0.305380 4.41221i 0.0227617 0.328867i
\(181\) −2.50718 + 7.71631i −0.186357 + 0.573549i −0.999969 0.00785960i \(-0.997498\pi\)
0.813612 + 0.581409i \(0.197498\pi\)
\(182\) −5.67908 + 21.1946i −0.420961 + 1.57105i
\(183\) 11.7535 6.36889i 0.868842 0.470802i
\(184\) 5.58115 0.586602i 0.411448 0.0432449i
\(185\) −3.25563 + 1.19375i −0.239359 + 0.0877663i
\(186\) 1.64888 + 3.46440i 0.120902 + 0.254022i
\(187\) 12.7199 4.88272i 0.930174 0.357060i
\(188\) 0.421612 2.66195i 0.0307492 0.194143i
\(189\) 18.9234 + 0.543059i 1.37648 + 0.0395018i
\(190\) 18.5915 + 15.5248i 1.34877 + 1.12629i
\(191\) 3.40955 7.65798i 0.246707 0.554112i −0.747167 0.664637i \(-0.768586\pi\)
0.993873 + 0.110524i \(0.0352530\pi\)
\(192\) −6.77092 0.182972i −0.488649 0.0132048i
\(193\) 3.59845 0.964202i 0.259022 0.0694048i −0.126971 0.991906i \(-0.540525\pi\)
0.385993 + 0.922502i \(0.373859\pi\)
\(194\) −3.93865 4.37432i −0.282779 0.314058i
\(195\) 5.95176 + 13.0066i 0.426214 + 0.931419i
\(196\) 2.76774 3.07389i 0.197696 0.219563i
\(197\) 2.24486 4.40579i 0.159940 0.313900i −0.797104 0.603842i \(-0.793636\pi\)
0.957044 + 0.289942i \(0.0936360\pi\)
\(198\) 4.80458 + 22.7912i 0.341447 + 1.61970i
\(199\) 24.6922i 1.75039i 0.483773 + 0.875194i \(0.339266\pi\)
−0.483773 + 0.875194i \(0.660734\pi\)
\(200\) 10.8944 + 0.900813i 0.770352 + 0.0636971i
\(201\) −9.43801 15.4304i −0.665706 1.08838i
\(202\) 2.56886 6.69211i 0.180744 0.470855i
\(203\) −12.9123 + 8.38534i −0.906265 + 0.588536i
\(204\) −2.12445 + 2.48320i −0.148741 + 0.173859i
\(205\) −1.07477 1.52717i −0.0750651 0.106662i
\(206\) −13.8687 4.50620i −0.966275 0.313962i
\(207\) −5.71393 5.16219i −0.397146 0.358797i
\(208\) −16.0713 + 8.18873i −1.11434 + 0.567786i
\(209\) −28.8908 12.8630i −1.99842 0.889754i
\(210\) 0.968127 22.9902i 0.0668071 1.58647i
\(211\) 3.09718 1.37895i 0.213218 0.0949310i −0.297348 0.954769i \(-0.596102\pi\)
0.510567 + 0.859838i \(0.329436\pi\)
\(212\) 0.957177 1.18202i 0.0657392 0.0811812i
\(213\) −15.8132 12.1550i −1.08350 0.832844i
\(214\) 26.3894 + 2.77364i 1.80394 + 0.189602i
\(215\) 10.3117 2.59712i 0.703250 0.177122i
\(216\) 7.35632 + 8.65704i 0.500534 + 0.589037i
\(217\) 2.24680 + 4.40960i 0.152523 + 0.299343i
\(218\) 18.3611 + 4.91984i 1.24357 + 0.333214i
\(219\) 20.1831 19.1209i 1.36385 1.29207i
\(220\) 6.88686 1.35572i 0.464312 0.0914025i
\(221\) 2.19740 10.3379i 0.147813 0.695405i
\(222\) −1.88900 + 3.95187i −0.126782 + 0.265232i
\(223\) 4.96769 4.02275i 0.332661 0.269383i −0.448407 0.893829i \(-0.648009\pi\)
0.781068 + 0.624446i \(0.214675\pi\)
\(224\) 13.0859 0.874342
\(225\) −9.06426 11.9515i −0.604284 0.796769i
\(226\) −17.6977 −1.17724
\(227\) −8.49893 + 6.88230i −0.564094 + 0.456794i −0.868459 0.495761i \(-0.834889\pi\)
0.304365 + 0.952556i \(0.401556\pi\)
\(228\) 7.56243 0.588810i 0.500834 0.0389949i
\(229\) 3.94438 18.5569i 0.260652 1.22627i −0.631801 0.775131i \(-0.717684\pi\)
0.892453 0.451141i \(-0.148983\pi\)
\(230\) −6.36701 + 6.86050i −0.419828 + 0.452368i
\(231\) 6.98925 + 29.2200i 0.459859 + 1.92254i
\(232\) −8.92427 2.39125i −0.585907 0.156993i
\(233\) 10.3387 + 20.2908i 0.677310 + 1.32930i 0.932065 + 0.362290i \(0.118005\pi\)
−0.254755 + 0.967006i \(0.581995\pi\)
\(234\) 16.8569 + 6.50315i 1.10197 + 0.425124i
\(235\) −4.86228 7.74016i −0.317180 0.504912i
\(236\) 7.70025 + 0.809329i 0.501244 + 0.0526828i
\(237\) 1.96458 14.8266i 0.127613 0.963089i
\(238\) −10.6999 + 13.2133i −0.693574 + 0.856493i
\(239\) −15.7771 + 7.02441i −1.02053 + 0.454371i −0.847641 0.530570i \(-0.821978\pi\)
−0.172893 + 0.984941i \(0.555311\pi\)
\(240\) 14.5769 12.0542i 0.940937 0.778097i
\(241\) −10.0634 4.48050i −0.648238 0.288614i 0.0561575 0.998422i \(-0.482115\pi\)
−0.704395 + 0.709808i \(0.748782\pi\)
\(242\) −16.9532 + 8.63811i −1.08980 + 0.555279i
\(243\) 2.09934 15.4464i 0.134672 0.990890i
\(244\) −4.83954 1.57246i −0.309820 0.100667i
\(245\) 0.211389 14.0269i 0.0135051 0.896147i
\(246\) −2.31903 0.431815i −0.147856 0.0275315i
\(247\) −20.5739 + 13.3609i −1.30909 + 0.850132i
\(248\) −1.06430 + 2.77260i −0.0675832 + 0.176060i
\(249\) −16.9268 + 0.429073i −1.07269 + 0.0271914i
\(250\) −14.6731 + 10.8219i −0.928011 + 0.684434i
\(251\) 4.30822i 0.271933i 0.990713 + 0.135966i \(0.0434139\pi\)
−0.990713 + 0.135966i \(0.956586\pi\)
\(252\) −4.81291 5.36330i −0.303185 0.337856i
\(253\) 5.54813 10.8888i 0.348808 0.684575i
\(254\) 3.11645 3.46117i 0.195543 0.217173i
\(255\) 0.113872 + 11.0828i 0.00713092 + 0.694035i
\(256\) 9.56373 + 10.6216i 0.597733 + 0.663850i
\(257\) −7.18663 + 1.92565i −0.448290 + 0.120119i −0.475899 0.879500i \(-0.657877\pi\)
0.0276093 + 0.999619i \(0.491211\pi\)
\(258\) 7.02784 11.4469i 0.437534 0.712652i
\(259\) −2.29801 + 5.16142i −0.142792 + 0.320715i
\(260\) 2.02758 5.05308i 0.125745 0.313379i
\(261\) 5.73659 + 11.3054i 0.355086 + 0.699788i
\(262\) 3.70898 23.4176i 0.229142 1.44674i
\(263\) 11.3421 4.35383i 0.699385 0.268469i 0.0174143 0.999848i \(-0.494457\pi\)
0.681971 + 0.731380i \(0.261123\pi\)
\(264\) −10.2243 + 14.8499i −0.629264 + 0.913946i
\(265\) −0.192318 5.15485i −0.0118140 0.316660i
\(266\) 39.2483 4.12516i 2.40647 0.252930i
\(267\) 0.117478 4.34731i 0.00718953 0.266051i
\(268\) −1.78202 + 6.65058i −0.108854 + 0.406249i
\(269\) −4.12547 + 12.6969i −0.251534 + 0.774143i 0.742958 + 0.669338i \(0.233422\pi\)
−0.994493 + 0.104806i \(0.966578\pi\)
\(270\) −18.7390 2.80297i −1.14042 0.170583i
\(271\) −5.46734 16.8267i −0.332117 1.02215i −0.968125 0.250469i \(-0.919415\pi\)
0.636007 0.771683i \(-0.280585\pi\)
\(272\) −13.9573 + 0.731473i −0.846287 + 0.0443520i
\(273\) 21.9622 + 7.79791i 1.32921 + 0.471951i
\(274\) 0.492194 + 0.284169i 0.0297345 + 0.0171672i
\(275\) 14.5664 18.8285i 0.878388 1.13540i
\(276\) 0.0742781 + 2.93025i 0.00447102 + 0.176380i
\(277\) −4.18256 5.16503i −0.251306 0.310337i 0.635845 0.771817i \(-0.280652\pi\)
−0.887150 + 0.461480i \(0.847319\pi\)
\(278\) 1.64414 + 0.837732i 0.0986091 + 0.0502438i
\(279\) 3.80691 1.45403i 0.227914 0.0870507i
\(280\) 13.4145 11.7173i 0.801667 0.700241i
\(281\) −2.08052 9.78805i −0.124113 0.583906i −0.995618 0.0935187i \(-0.970189\pi\)
0.871504 0.490388i \(-0.163145\pi\)
\(282\) −11.2249 2.70479i −0.668432 0.161068i
\(283\) 0.692565 13.2149i 0.0411687 0.785546i −0.897561 0.440891i \(-0.854663\pi\)
0.938729 0.344655i \(-0.112004\pi\)
\(284\) 0.793587 + 7.55048i 0.0470907 + 0.448039i
\(285\) 18.0031 18.3769i 1.06641 1.08855i
\(286\) −2.99726 + 28.5170i −0.177231 + 1.68624i
\(287\) −3.00525 0.475985i −0.177394 0.0280965i
\(288\) 1.14426 10.7144i 0.0674259 0.631351i
\(289\) −5.17868 + 7.12785i −0.304628 + 0.419285i
\(290\) 13.8337 6.78802i 0.812342 0.398606i
\(291\) −4.96316 + 3.80178i −0.290946 + 0.222864i
\(292\) −10.5685 0.553870i −0.618473 0.0324128i
\(293\) 6.97767 + 26.0410i 0.407640 + 1.52133i 0.799135 + 0.601152i \(0.205291\pi\)
−0.391495 + 0.920180i \(0.628042\pi\)
\(294\) −12.1871 12.8641i −0.710767 0.750248i
\(295\) 21.4746 15.1131i 1.25030 0.879920i
\(296\) −3.22450 + 1.04770i −0.187420 + 0.0608966i
\(297\) 24.5356 3.16755i 1.42370 0.183800i
\(298\) 3.22786 + 20.3799i 0.186985 + 1.18057i
\(299\) −4.73987 8.20970i −0.274114 0.474779i
\(300\) −0.920234 + 5.63512i −0.0531298 + 0.325344i
\(301\) 8.66295 15.0047i 0.499324 0.864855i
\(302\) −36.2062 13.8982i −2.08343 0.799754i
\(303\) −6.86914 3.28347i −0.394622 0.188630i
\(304\) 24.1084 + 21.7073i 1.38271 + 1.24500i
\(305\) −15.8701 + 6.78117i −0.908721 + 0.388289i
\(306\) 9.88306 + 9.91619i 0.564977 + 0.566871i
\(307\) −7.81159 + 7.81159i −0.445831 + 0.445831i −0.893966 0.448135i \(-0.852088\pi\)
0.448135 + 0.893966i \(0.352088\pi\)
\(308\) 6.22870 9.59136i 0.354913 0.546518i
\(309\) −5.93909 + 14.3044i −0.337863 + 0.813748i
\(310\) −1.70521 4.65049i −0.0968492 0.264130i
\(311\) −7.38774 16.5931i −0.418920 0.940910i −0.992555 0.121799i \(-0.961134\pi\)
0.573635 0.819111i \(-0.305533\pi\)
\(312\) 5.34117 + 12.9253i 0.302384 + 0.731751i
\(313\) 4.11751 + 10.7265i 0.232735 + 0.606296i 0.999359 0.0358007i \(-0.0113982\pi\)
−0.766624 + 0.642097i \(0.778065\pi\)
\(314\) 4.54156 + 3.29964i 0.256295 + 0.186209i
\(315\) −24.2600 2.96125i −1.36690 0.166848i
\(316\) −4.60580 + 3.34631i −0.259096 + 0.188244i
\(317\) −2.49069 1.61747i −0.139891 0.0908463i 0.472796 0.881172i \(-0.343245\pi\)
−0.612687 + 0.790326i \(0.709911\pi\)
\(318\) −4.72275 4.48924i −0.264839 0.251744i
\(319\) −14.9518 + 13.4627i −0.837139 + 0.753764i
\(320\) 8.68175 + 1.04498i 0.485325 + 0.0584161i
\(321\) 5.15918 27.7071i 0.287957 1.54646i
\(322\) 0.798136 + 15.2293i 0.0444784 + 0.848698i
\(323\) −18.7747 + 2.97363i −1.04465 + 0.165457i
\(324\) −4.81216 + 3.47169i −0.267342 + 0.192872i
\(325\) −6.09510 17.4310i −0.338095 0.966898i
\(326\) −23.7314 + 13.7013i −1.31436 + 0.758847i
\(327\) 6.75540 19.0261i 0.373575 1.05214i
\(328\) −0.994457 1.53133i −0.0549097 0.0845536i
\(329\) −14.5678 3.09648i −0.803149 0.170715i
\(330\) −3.45026 29.8715i −0.189931 1.64437i
\(331\) −16.5790 + 3.52397i −0.911262 + 0.193695i −0.639609 0.768700i \(-0.720904\pi\)
−0.271653 + 0.962395i \(0.587570\pi\)
\(332\) 4.55750 + 4.55750i 0.250125 + 0.250125i
\(333\) 4.02508 + 2.33287i 0.220573 + 0.127840i
\(334\) 4.47506 + 6.15939i 0.244864 + 0.337027i
\(335\) 10.2866 + 20.9636i 0.562017 + 1.14537i
\(336\) 2.44378 30.7225i 0.133319 1.67605i
\(337\) 6.50203 + 5.26524i 0.354188 + 0.286816i 0.789857 0.613291i \(-0.210155\pi\)
−0.435669 + 0.900107i \(0.643488\pi\)
\(338\) 0.810568 + 0.656385i 0.0440891 + 0.0357026i
\(339\) −1.49049 + 18.7380i −0.0809524 + 1.01771i
\(340\) 3.02784 2.93794i 0.164208 0.159332i
\(341\) 3.80141 + 5.23219i 0.205858 + 0.283339i
\(342\) 0.0543748 32.4960i 0.00294025 1.75718i
\(343\) 1.87099 + 1.87099i 0.101024 + 0.101024i
\(344\) 10.1699 2.16168i 0.548325 0.116550i
\(345\) 6.72755 + 7.31906i 0.362199 + 0.394045i
\(346\) −0.361652 0.0768715i −0.0194425 0.00413264i
\(347\) 9.10601 + 14.0220i 0.488836 + 0.752742i 0.993893 0.110344i \(-0.0351952\pi\)
−0.505057 + 0.863086i \(0.668529\pi\)
\(348\) 1.61467 4.54759i 0.0865554 0.243776i
\(349\) −22.8822 + 13.2110i −1.22486 + 0.707171i −0.965949 0.258732i \(-0.916695\pi\)
−0.258906 + 0.965902i \(0.583362\pi\)
\(350\) −3.99402 + 29.4367i −0.213489 + 1.57346i
\(351\) 8.30510 17.3001i 0.443293 0.923412i
\(352\) 16.8901 2.67513i 0.900247 0.142585i
\(353\) 0.861405 + 16.4366i 0.0458480 + 0.874831i 0.920659 + 0.390367i \(0.127652\pi\)
−0.874811 + 0.484464i \(0.839015\pi\)
\(354\) 6.07207 32.6097i 0.322727 1.73318i
\(355\) 18.8733 + 17.5157i 1.00169 + 0.929637i
\(356\) −1.23021 + 1.10769i −0.0652010 + 0.0587072i
\(357\) 13.0889 + 12.4417i 0.692738 + 0.658486i
\(358\) −31.9978 20.7796i −1.69114 1.09824i
\(359\) 0.940606 0.683390i 0.0496433 0.0360680i −0.562687 0.826670i \(-0.690232\pi\)
0.612330 + 0.790602i \(0.290232\pi\)
\(360\) −8.42077 12.0079i −0.443813 0.632873i
\(361\) 20.3238 + 14.7661i 1.06967 + 0.777163i
\(362\) −4.74151 12.3521i −0.249208 0.649210i
\(363\) 7.71809 + 18.6773i 0.405095 + 0.980304i
\(364\) −3.60826 8.10430i −0.189124 0.424780i
\(365\) −28.2310 + 22.1651i −1.47768 + 1.16017i
\(366\) −8.35932 + 20.1335i −0.436949 + 1.05240i
\(367\) 8.88628 13.6837i 0.463860 0.714282i −0.526897 0.849929i \(-0.676645\pi\)
0.990757 + 0.135647i \(0.0433114\pi\)
\(368\) −8.86441 + 8.86441i −0.462090 + 0.462090i
\(369\) −0.652506 + 2.41899i −0.0339681 + 0.125927i
\(370\) 2.90084 4.85398i 0.150807 0.252346i
\(371\) −6.24602 5.62394i −0.324277 0.291980i
\(372\) −1.39954 0.668983i −0.0725627 0.0346852i
\(373\) −14.2850 5.48349i −0.739649 0.283925i −0.0407738 0.999168i \(-0.512982\pi\)
−0.698875 + 0.715244i \(0.746316\pi\)
\(374\) −11.1093 + 19.2419i −0.574449 + 0.994975i
\(375\) 10.2222 + 16.4471i 0.527873 + 0.849323i
\(376\) −4.46865 7.73993i −0.230453 0.399156i
\(377\) 2.44145 + 15.4147i 0.125741 + 0.793899i
\(378\) −24.5394 + 18.7321i −1.26217 + 0.963474i
\(379\) −14.3151 + 4.65126i −0.735318 + 0.238919i −0.652652 0.757658i \(-0.726344\pi\)
−0.0826664 + 0.996577i \(0.526344\pi\)
\(380\) −9.79149 0.147560i −0.502293 0.00756966i
\(381\) −3.40216 3.59114i −0.174298 0.183980i
\(382\) 3.53806 + 13.2042i 0.181023 + 0.675586i
\(383\) 23.0670 + 1.20889i 1.17867 + 0.0617715i 0.631586 0.775306i \(-0.282404\pi\)
0.547085 + 0.837077i \(0.315738\pi\)
\(384\) 18.6461 14.2829i 0.951532 0.728872i
\(385\) −5.48967 38.3965i −0.279779 1.95687i
\(386\) −3.57088 + 4.91489i −0.181753 + 0.250161i
\(387\) −11.5279 8.40500i −0.585995 0.427250i
\(388\) 2.35050 + 0.372283i 0.119329 + 0.0188998i
\(389\) 1.72463 16.4087i 0.0874420 0.831955i −0.859626 0.510923i \(-0.829304\pi\)
0.947068 0.321032i \(-0.104030\pi\)
\(390\) −20.8909 10.3755i −1.05785 0.525382i
\(391\) −0.767819 7.30531i −0.0388303 0.369446i
\(392\) 0.717861 13.6976i 0.0362575 0.691834i
\(393\) −24.4818 5.89922i −1.23494 0.297576i
\(394\) 1.67651 + 7.88736i 0.0844614 + 0.397360i
\(395\) −4.29856 + 18.8237i −0.216284 + 0.947125i
\(396\) −7.30847 5.93856i −0.367264 0.298424i
\(397\) 9.53622 + 4.85895i 0.478609 + 0.243864i 0.676615 0.736337i \(-0.263446\pi\)
−0.198005 + 0.980201i \(0.563446\pi\)
\(398\) −25.3406 31.2930i −1.27021 1.56858i
\(399\) −1.06218 41.9028i −0.0531757 2.09777i
\(400\) −20.1795 + 13.7517i −1.00897 + 0.687584i
\(401\) 4.09767 + 2.36579i 0.204628 + 0.118142i 0.598812 0.800889i \(-0.295640\pi\)
−0.394184 + 0.919031i \(0.628973\pi\)
\(402\) 27.7965 + 9.86945i 1.38637 + 0.492243i
\(403\) 5.00987 0.262556i 0.249560 0.0130789i
\(404\) 0.895565 + 2.75627i 0.0445560 + 0.137129i
\(405\) −4.54592 + 19.6045i −0.225889 + 0.974153i
\(406\) 7.75852 23.8783i 0.385049 1.18506i
\(407\) −1.91092 + 7.13166i −0.0947210 + 0.353503i
\(408\) −0.292739 + 10.8329i −0.0144927 + 0.536308i
\(409\) −6.80116 + 0.714831i −0.336296 + 0.0353461i −0.271171 0.962531i \(-0.587411\pi\)
−0.0651242 + 0.997877i \(0.520744\pi\)
\(410\) 2.92934 + 0.832422i 0.144670 + 0.0411104i
\(411\) 0.342325 0.497194i 0.0168856 0.0245248i
\(412\) 5.50406 2.11281i 0.271166 0.104091i
\(413\) 6.69317 42.2590i 0.329350 2.07943i
\(414\) 12.5391 + 0.678188i 0.616264 + 0.0333311i
\(415\) 21.8098 + 1.47284i 1.07060 + 0.0722990i
\(416\) 5.39539 12.1182i 0.264531 0.594145i
\(417\) 1.02544 1.67024i 0.0502163 0.0817918i
\(418\) 49.8147 13.3478i 2.43652 0.652863i
\(419\) −24.2420 26.9234i −1.18430 1.31530i −0.938218 0.346046i \(-0.887524\pi\)
−0.246080 0.969250i \(-0.579143\pi\)
\(420\) 5.54529 + 7.46983i 0.270583 + 0.364490i
\(421\) 8.15747 9.05979i 0.397571 0.441547i −0.510808 0.859695i \(-0.670654\pi\)
0.908379 + 0.418147i \(0.137320\pi\)
\(422\) −2.50996 + 4.92607i −0.122183 + 0.239798i
\(423\) −3.80914 + 11.6569i −0.185207 + 0.566779i
\(424\) 5.04367i 0.244942i
\(425\) 1.17910 14.2600i 0.0571946 0.691711i
\(426\) 32.5146 0.824203i 1.57534 0.0399328i
\(427\) −10.0771 + 26.2518i −0.487666 + 1.27041i
\(428\) −8.99726 + 5.84289i −0.434899 + 0.282427i
\(429\) 29.9409 + 5.57512i 1.44556 + 0.269170i
\(430\) −10.4029 + 13.8738i −0.501672 + 0.669054i
\(431\) 9.87770 + 3.20946i 0.475792 + 0.154594i 0.537089 0.843525i \(-0.319524\pi\)
−0.0612974 + 0.998120i \(0.519524\pi\)
\(432\) −24.9410 4.68732i −1.19997 0.225519i
\(433\) −0.410272 + 0.209044i −0.0197164 + 0.0100460i −0.463821 0.885929i \(-0.653522\pi\)
0.444104 + 0.895975i \(0.353522\pi\)
\(434\) −7.37281 3.28258i −0.353906 0.157569i
\(435\) −6.02197 15.2186i −0.288731 0.729674i
\(436\) −7.02083 + 3.12588i −0.336237 + 0.149702i
\(437\) −10.7298 + 13.2502i −0.513278 + 0.633845i
\(438\) −5.95543 + 44.9454i −0.284562 + 2.14757i
\(439\) −1.45127 0.152535i −0.0692654 0.00728008i 0.0698324 0.997559i \(-0.477754\pi\)
−0.139098 + 0.990279i \(0.544420\pi\)
\(440\) 14.9188 17.8658i 0.711225 0.851721i
\(441\) −14.6466 + 11.8201i −0.697459 + 0.562862i
\(442\) 7.82457 + 15.3566i 0.372177 + 0.730438i
\(443\) −9.23142 2.47355i −0.438598 0.117522i 0.0327613 0.999463i \(-0.489570\pi\)
−0.471359 + 0.881941i \(0.656237\pi\)
\(444\) −0.411965 1.72230i −0.0195510 0.0817369i
\(445\) −0.670935 + 5.57416i −0.0318054 + 0.264241i
\(446\) −2.16728 + 10.1962i −0.102624 + 0.482806i
\(447\) 21.8497 1.70122i 1.03346 0.0804648i
\(448\) 11.0725 8.96632i 0.523126 0.423619i
\(449\) 8.65019 0.408227 0.204114 0.978947i \(-0.434569\pi\)
0.204114 + 0.978947i \(0.434569\pi\)
\(450\) 23.7527 + 5.84418i 1.11971 + 0.275497i
\(451\) −3.97620 −0.187232
\(452\) 5.56063 4.50291i 0.261550 0.211799i
\(453\) −17.7645 + 37.1640i −0.834648 + 1.74612i
\(454\) 3.70787 17.4442i 0.174019 0.818696i
\(455\) −27.2985 12.6504i −1.27978 0.593058i
\(456\) 18.2602 17.2993i 0.855114 0.810114i
\(457\) 36.0519 + 9.66008i 1.68644 + 0.451880i 0.969467 0.245223i \(-0.0788613\pi\)
0.716971 + 0.697103i \(0.245528\pi\)
\(458\) 14.0453 + 27.5654i 0.656294 + 1.28805i
\(459\) 11.3314 9.62887i 0.528906 0.449437i
\(460\) 0.254968 3.77555i 0.0118879 0.176036i
\(461\) −9.64371 1.01359i −0.449152 0.0472078i −0.122748 0.992438i \(-0.539171\pi\)
−0.326405 + 0.945230i \(0.605837\pi\)
\(462\) −38.8449 29.8584i −1.80723 1.38914i
\(463\) 4.31609 5.32992i 0.200586 0.247703i −0.666921 0.745129i \(-0.732388\pi\)
0.867506 + 0.497426i \(0.165721\pi\)
\(464\) 18.8545 8.39456i 0.875298 0.389708i
\(465\) −5.06747 + 1.41378i −0.234998 + 0.0655626i
\(466\) −33.9260 15.1048i −1.57159 0.699718i
\(467\) 21.3051 10.8555i 0.985880 0.502331i 0.114756 0.993394i \(-0.463391\pi\)
0.871124 + 0.491063i \(0.163391\pi\)
\(468\) −6.95107 + 2.24569i −0.321313 + 0.103807i
\(469\) 36.1852 + 11.7573i 1.67088 + 0.542901i
\(470\) 14.1055 + 4.81931i 0.650637 + 0.222298i
\(471\) 3.87609 4.53064i 0.178601 0.208761i
\(472\) 21.5332 13.9838i 0.991144 0.643657i
\(473\) 8.11396 21.1376i 0.373080 0.971907i
\(474\) 12.7261 + 20.8062i 0.584530 + 0.955660i
\(475\) −25.3398 + 21.4694i −1.16267 + 0.985082i
\(476\) 6.87406i 0.315072i
\(477\) −5.15087 + 4.62228i −0.235842 + 0.211640i
\(478\) 12.7858 25.0935i 0.584808 1.14775i
\(479\) −28.1929 + 31.3114i −1.28817 + 1.43065i −0.442658 + 0.896691i \(0.645964\pi\)
−0.845508 + 0.533963i \(0.820702\pi\)
\(480\) −2.75228 + 13.6359i −0.125624 + 0.622390i
\(481\) 3.83225 + 4.25615i 0.174736 + 0.194064i
\(482\) 17.3516 4.64936i 0.790346 0.211773i
\(483\) 16.1918 + 0.437553i 0.736751 + 0.0199093i
\(484\) 3.12888 7.02758i 0.142222 0.319435i
\(485\) 6.83454 4.29339i 0.310341 0.194953i
\(486\) 13.1915 + 21.7301i 0.598378 + 0.985696i
\(487\) −4.25189 + 26.8454i −0.192672 + 1.21648i 0.681849 + 0.731493i \(0.261176\pi\)
−0.874521 + 0.484988i \(0.838824\pi\)
\(488\) −15.7534 + 6.04718i −0.713125 + 0.273743i
\(489\) 12.5081 + 26.2803i 0.565636 + 1.18844i
\(490\) 14.1273 + 17.9936i 0.638208 + 0.812866i
\(491\) −0.340141 + 0.0357503i −0.0153504 + 0.00161339i −0.112201 0.993686i \(-0.535790\pi\)
0.0968502 + 0.995299i \(0.469123\pi\)
\(492\) 0.838509 0.454365i 0.0378029 0.0204844i
\(493\) −3.12997 + 11.6812i −0.140967 + 0.526095i
\(494\) 12.3621 38.0467i 0.556198 1.71180i
\(495\) −31.9180 + 1.13732i −1.43461 + 0.0511187i
\(496\) −2.05009 6.30953i −0.0920518 0.283306i
\(497\) 41.8961 2.19568i 1.87930 0.0984898i
\(498\) 21.0114 17.9150i 0.941543 0.802792i
\(499\) −18.4095 10.6288i −0.824124 0.475808i 0.0277123 0.999616i \(-0.491178\pi\)
−0.851837 + 0.523808i \(0.824511\pi\)
\(500\) 1.85685 7.13357i 0.0830409 0.319023i
\(501\) 6.89834 4.21937i 0.308195 0.188508i
\(502\) −4.42134 5.45990i −0.197334 0.243687i
\(503\) 16.1817 + 8.24496i 0.721504 + 0.367625i 0.775867 0.630896i \(-0.217313\pi\)
−0.0543628 + 0.998521i \(0.517313\pi\)
\(504\) −23.5959 3.77770i −1.05104 0.168272i
\(505\) 8.43720 + 5.04224i 0.375450 + 0.224377i
\(506\) 4.14346 + 19.4935i 0.184199 + 0.866590i
\(507\) 0.763234 0.802935i 0.0338964 0.0356596i
\(508\) −0.0985491 + 1.88043i −0.00437241 + 0.0834306i
\(509\) −0.713818 6.79153i −0.0316394 0.301029i −0.998886 0.0471901i \(-0.984973\pi\)
0.967246 0.253839i \(-0.0816933\pi\)
\(510\) −11.5182 13.9287i −0.510033 0.616772i
\(511\) −6.11295 + 58.1609i −0.270421 + 2.57289i
\(512\) 3.76675 + 0.596595i 0.166469 + 0.0263660i
\(513\) −34.4017 2.79437i −1.51887 0.123374i
\(514\) 7.13156 9.81575i 0.314560 0.432954i
\(515\) 9.34512 17.6772i 0.411795 0.778949i
\(516\) 0.704330 + 5.38473i 0.0310064 + 0.237049i
\(517\) −19.4358 1.01859i −0.854784 0.0447973i
\(518\) −2.38462 8.89954i −0.104774 0.391023i
\(519\) −0.111848 + 0.376437i −0.00490959 + 0.0165237i
\(520\) −5.31994 17.2535i −0.233295 0.756617i
\(521\) −0.530295 + 0.172303i −0.0232326 + 0.00754874i −0.320610 0.947211i \(-0.603888\pi\)
0.297378 + 0.954760i \(0.403888\pi\)
\(522\) −18.8724 8.44039i −0.826022 0.369426i
\(523\) −4.82033 30.4344i −0.210778 1.33080i −0.835300 0.549794i \(-0.814706\pi\)
0.624522 0.781007i \(-0.285294\pi\)
\(524\) 4.79287 + 8.30150i 0.209378 + 0.362653i
\(525\) 30.8307 + 6.70794i 1.34556 + 0.292759i
\(526\) −9.90596 + 17.1576i −0.431920 + 0.748108i
\(527\) 3.62913 + 1.39309i 0.158087 + 0.0606840i
\(528\) −3.12634 40.1534i −0.136056 1.74745i
\(529\) 12.1961 + 10.9814i 0.530264 + 0.477452i
\(530\) 5.53393 + 6.33548i 0.240378 + 0.275196i
\(531\) −34.0152 9.17537i −1.47613 0.398177i
\(532\) −11.2822 + 11.2822i −0.489147 + 0.489147i
\(533\) −1.67986 + 2.58676i −0.0727628 + 0.112045i
\(534\) 4.31257 + 5.63000i 0.186623 + 0.243634i
\(535\) −9.94551 + 34.9988i −0.429982 + 1.51313i
\(536\) 9.28656 + 20.8580i 0.401118 + 0.900927i
\(537\) −24.6959 + 32.1287i −1.06571 + 1.38646i
\(538\) −7.80197 20.3248i −0.336367 0.876266i
\(539\) −24.1651 17.5570i −1.04087 0.756233i
\(540\) 6.60096 3.88715i 0.284060 0.167276i
\(541\) −37.5985 + 27.3169i −1.61649 + 1.17445i −0.782535 + 0.622606i \(0.786074\pi\)
−0.833950 + 0.551839i \(0.813926\pi\)
\(542\) 24.1974 + 15.7140i 1.03937 + 0.674974i
\(543\) −13.4775 + 3.97995i −0.578374 + 0.170796i
\(544\) 7.63854 6.87778i 0.327500 0.294882i
\(545\) −10.9591 + 23.6490i −0.469438 + 1.01301i
\(546\) −35.8358 + 12.6564i −1.53363 + 0.541644i
\(547\) −0.579669 11.0607i −0.0247849 0.472923i −0.982623 0.185614i \(-0.940573\pi\)
0.957838 0.287309i \(-0.0927608\pi\)
\(548\) −0.226950 + 0.0359453i −0.00969480 + 0.00153551i
\(549\) 20.6130 + 10.5463i 0.879742 + 0.450107i
\(550\) 0.862583 + 38.8107i 0.0367806 + 1.65489i
\(551\) 24.3092 14.0349i 1.03561 0.597909i
\(552\) 6.30650 + 7.39649i 0.268423 + 0.314815i
\(553\) 17.1342 + 26.3844i 0.728622 + 1.12198i
\(554\) 10.6013 + 2.25338i 0.450406 + 0.0957368i
\(555\) −4.89500 3.48015i −0.207781 0.147724i
\(556\) −0.729737 + 0.155110i −0.0309477 + 0.00657815i
\(557\) −16.8280 16.8280i −0.713024 0.713024i 0.254143 0.967167i \(-0.418207\pi\)
−0.967167 + 0.254143i \(0.918207\pi\)
\(558\) −3.33237 + 5.74960i −0.141071 + 0.243400i
\(559\) −10.3233 14.2088i −0.436629 0.600968i
\(560\) −6.81565 + 39.1998i −0.288014 + 1.65649i
\(561\) 19.4374 + 13.3829i 0.820646 + 0.565026i
\(562\) 12.6817 + 10.2695i 0.534947 + 0.433191i
\(563\) −30.0764 24.3554i −1.26757 1.02646i −0.997983 0.0634809i \(-0.979780\pi\)
−0.269586 0.962976i \(-0.586887\pi\)
\(564\) 4.21505 2.00615i 0.177486 0.0844741i
\(565\) 4.15695 23.9084i 0.174884 1.00584i
\(566\) 12.6842 + 17.4583i 0.533157 + 0.733827i
\(567\) 17.7665 + 27.5595i 0.746123 + 1.15739i
\(568\) 17.8021 + 17.8021i 0.746959 + 0.746959i
\(569\) 32.0615 6.81488i 1.34409 0.285695i 0.520974 0.853572i \(-0.325569\pi\)
0.823113 + 0.567878i \(0.192235\pi\)
\(570\) −3.95632 + 41.7653i −0.165712 + 1.74936i
\(571\) 41.9748 + 8.92202i 1.75659 + 0.373375i 0.969811 0.243859i \(-0.0784133\pi\)
0.786780 + 0.617234i \(0.211747\pi\)
\(572\) −6.31396 9.72264i −0.264000 0.406524i
\(573\) 14.2784 2.63398i 0.596487 0.110036i
\(574\) 4.29710 2.48093i 0.179357 0.103552i
\(575\) −7.77255 10.2128i −0.324138 0.425904i
\(576\) −6.37316 9.84984i −0.265548 0.410410i
\(577\) 6.76708 1.07180i 0.281717 0.0446196i −0.0139768 0.999902i \(-0.504449\pi\)
0.295694 + 0.955283i \(0.404449\pi\)
\(578\) −0.751943 14.3479i −0.0312767 0.596795i
\(579\) 4.90306 + 4.19471i 0.203764 + 0.174326i
\(580\) −2.61944 + 5.65256i −0.108766 + 0.234710i
\(581\) 26.4682 23.8321i 1.09809 0.988721i
\(582\) 2.38833 9.91155i 0.0989993 0.410847i
\(583\) −9.21147 5.98200i −0.381500 0.247749i
\(584\) −28.3917 + 20.6278i −1.17486 + 0.853583i
\(585\) −12.7448 + 21.2451i −0.526931 + 0.878375i
\(586\) −35.5677 25.8415i −1.46929 1.06750i
\(587\) −9.32104 24.2822i −0.384721 1.00223i −0.980050 0.198750i \(-0.936312\pi\)
0.595330 0.803482i \(-0.297022\pi\)
\(588\) 7.10225 + 0.941074i 0.292892 + 0.0388092i
\(589\) −3.66995 8.24285i −0.151218 0.339641i
\(590\) −11.7053 + 41.1917i −0.481900 + 1.69583i
\(591\) 8.49220 1.11079i 0.349322 0.0456919i
\(592\) 4.12497 6.35190i 0.169535 0.261061i
\(593\) 20.2646 20.2646i 0.832166 0.832166i −0.155647 0.987813i \(-0.549746\pi\)
0.987813 + 0.155647i \(0.0497463\pi\)
\(594\) −27.8438 + 29.1941i −1.14244 + 1.19785i
\(595\) −15.3370 17.5585i −0.628757 0.719829i
\(596\) −6.19953 5.58208i −0.253943 0.228651i
\(597\) −35.2667 + 24.1947i −1.44337 + 0.990223i
\(598\) 14.4322 + 5.54000i 0.590176 + 0.226547i
\(599\) −0.947684 + 1.64144i −0.0387213 + 0.0670673i −0.884737 0.466091i \(-0.845662\pi\)
0.846015 + 0.533159i \(0.178995\pi\)
\(600\) 9.38831 + 16.4426i 0.383276 + 0.671266i
\(601\) −3.34255 5.78947i −0.136346 0.236158i 0.789765 0.613409i \(-0.210202\pi\)
−0.926111 + 0.377252i \(0.876869\pi\)
\(602\) 4.41990 + 27.9062i 0.180142 + 1.13737i
\(603\) 12.7906 28.5993i 0.520874 1.16465i
\(604\) 14.9122 4.84526i 0.606767 0.197151i
\(605\) −7.68742 24.9317i −0.312538 1.01362i
\(606\) 12.0751 2.88829i 0.490517 0.117329i
\(607\) −7.20347 26.8837i −0.292380 1.09118i −0.943276 0.332010i \(-0.892273\pi\)
0.650896 0.759167i \(-0.274393\pi\)
\(608\) −23.8253 1.24863i −0.966244 0.0506387i
\(609\) −24.6285 10.2256i −0.997996 0.414362i
\(610\) 13.1533 24.8807i 0.532563 1.00739i
\(611\) −8.87385 + 12.2138i −0.358998 + 0.494118i
\(612\) −5.62827 0.601078i −0.227509 0.0242972i
\(613\) −34.5864 5.47795i −1.39693 0.221252i −0.587861 0.808962i \(-0.700030\pi\)
−0.809072 + 0.587710i \(0.800030\pi\)
\(614\) 1.88310 17.9165i 0.0759957 0.723051i
\(615\) 1.12806 3.03143i 0.0454878 0.122239i
\(616\) −3.96414 37.7163i −0.159720 1.51963i
\(617\) 0.00653718 0.124737i 0.000263177 0.00502172i −0.998495 0.0548466i \(-0.982533\pi\)
0.998758 + 0.0498249i \(0.0158663\pi\)
\(618\) −7.15322 24.2233i −0.287745 0.974403i
\(619\) −2.12093 9.97819i −0.0852473 0.401057i 0.914748 0.404024i \(-0.132389\pi\)
−0.999996 + 0.00296709i \(0.999056\pi\)
\(620\) 1.71902 + 1.02732i 0.0690374 + 0.0412582i
\(621\) 1.77409 13.2191i 0.0711918 0.530463i
\(622\) 26.3914 + 13.4471i 1.05820 + 0.539180i
\(623\) 5.75687 + 7.10914i 0.230644 + 0.284822i
\(624\) −27.4430 14.9301i −1.09860 0.597681i
\(625\) −11.1731 22.3643i −0.446923 0.894573i
\(626\) −16.2263 9.36827i −0.648534 0.374431i
\(627\) −9.93707 53.8671i −0.396849 2.15125i
\(628\) −2.26650 + 0.118782i −0.0904432 + 0.00473993i
\(629\) 1.37137 + 4.22063i 0.0546800 + 0.168288i
\(630\) 33.7843 21.1442i 1.34600 0.842404i
\(631\) 2.62067 8.06558i 0.104327 0.321086i −0.885245 0.465125i \(-0.846009\pi\)
0.989572 + 0.144040i \(0.0460093\pi\)
\(632\) −4.88618 + 18.2355i −0.194362 + 0.725368i
\(633\) 5.00425 + 3.07237i 0.198901 + 0.122116i
\(634\) 4.81645 0.506229i 0.191286 0.0201049i
\(635\) 3.94379 + 5.02309i 0.156505 + 0.199335i
\(636\) 2.62610 + 0.208890i 0.104132 + 0.00828301i
\(637\) −21.6311 + 8.30341i −0.857057 + 0.328993i
\(638\) 5.13259 32.4059i 0.203201 1.28296i
\(639\) 1.86570 34.4953i 0.0738061 1.36461i
\(640\) −25.6768 + 16.1299i −1.01496 + 0.637589i
\(641\) 17.9489 40.3140i 0.708941 1.59231i −0.0935309 0.995616i \(-0.529815\pi\)
0.802472 0.596690i \(-0.203518\pi\)
\(642\) 21.8962 + 40.4084i 0.864175 + 1.59479i
\(643\) −43.3011 + 11.6025i −1.70763 + 0.457557i −0.974841 0.222902i \(-0.928447\pi\)
−0.732786 + 0.680459i \(0.761780\pi\)
\(644\) −4.12564 4.58198i −0.162573 0.180555i
\(645\) 13.8132 + 12.1828i 0.543895 + 0.479699i
\(646\) 20.7419 23.0363i 0.816081 0.906349i
\(647\) 8.50104 16.6842i 0.334210 0.655924i −0.661347 0.750080i \(-0.730015\pi\)
0.995558 + 0.0941554i \(0.0300151\pi\)
\(648\) −5.15633 + 18.9893i −0.202560 + 0.745968i
\(649\) 55.9123i 2.19475i
\(650\) 25.6131 + 15.8355i 1.00463 + 0.621121i
\(651\) −4.09648 + 7.52974i −0.160554 + 0.295114i
\(652\) 3.97032 10.3430i 0.155490 0.405065i
\(653\) −26.3330 + 17.1009i −1.03049 + 0.669209i −0.944980 0.327128i \(-0.893919\pi\)
−0.0855117 + 0.996337i \(0.527253\pi\)
\(654\) 10.9644 + 31.0449i 0.428741 + 1.21395i
\(655\) 30.7644 + 10.5111i 1.20206 + 0.410701i
\(656\) 3.87918 + 1.26042i 0.151456 + 0.0492112i
\(657\) 47.0858 + 10.0908i 1.83699 + 0.393679i
\(658\) 21.6399 11.0261i 0.843610 0.429841i
\(659\) 13.4414 + 5.98448i 0.523601 + 0.233122i 0.651477 0.758668i \(-0.274149\pi\)
−0.127877 + 0.991790i \(0.540816\pi\)
\(660\) 8.68439 + 8.50775i 0.338039 + 0.331164i
\(661\) −24.5616 + 10.9355i −0.955335 + 0.425343i −0.824374 0.566045i \(-0.808473\pi\)
−0.130961 + 0.991388i \(0.541806\pi\)
\(662\) 17.3944 21.4803i 0.676052 0.834855i
\(663\) 16.9183 6.99119i 0.657051 0.271516i
\(664\) 21.2560 + 2.23410i 0.824894 + 0.0866998i
\(665\) −3.64607 + 53.9907i −0.141388 + 2.09367i
\(666\) −7.49519 + 1.17427i −0.290433 + 0.0455020i
\(667\) 4.92445 + 9.66478i 0.190676 + 0.374222i
\(668\) −2.97322 0.796672i −0.115037 0.0308242i
\(669\) 10.6131 + 3.15340i 0.410325 + 0.121917i
\(670\) −34.5505 16.0110i −1.33480 0.618559i
\(671\) −7.64000 + 35.9434i −0.294939 + 1.38758i
\(672\) 12.8223 + 18.6900i 0.494630 + 0.720982i
\(673\) −28.6190 + 23.1752i −1.10318 + 0.893337i −0.994908 0.100784i \(-0.967865\pi\)
−0.108271 + 0.994121i \(0.534532\pi\)
\(674\) −13.6437 −0.525534
\(675\) 8.18815 24.6567i 0.315162 0.949038i
\(676\) −0.421687 −0.0162187
\(677\) 19.4047 15.7136i 0.745783 0.603923i −0.179253 0.983803i \(-0.557368\pi\)
0.925036 + 0.379880i \(0.124035\pi\)
\(678\) −17.3411 25.2768i −0.665982 0.970748i
\(679\) 2.73419 12.8633i 0.104928 0.493650i
\(680\) 1.67188 13.8901i 0.0641136 0.532659i
\(681\) −18.1573 5.39497i −0.695790 0.206736i
\(682\) −10.1872 2.72965i −0.390087 0.104524i
\(683\) 8.70591 + 17.0863i 0.333122 + 0.653789i 0.995435 0.0954379i \(-0.0304251\pi\)
−0.662313 + 0.749227i \(0.730425\pi\)
\(684\) 8.25101 + 10.2241i 0.315485 + 0.390928i
\(685\) −0.499502 + 0.598174i −0.0190850 + 0.0228550i
\(686\) −4.29126 0.451030i −0.163841 0.0172204i
\(687\) 30.3687 12.5494i 1.15864 0.478788i
\(688\) −14.6164 + 18.0497i −0.557245 + 0.688140i
\(689\) −7.78330 + 3.46535i −0.296520 + 0.132019i
\(690\) −16.0372 2.37141i −0.610526 0.0902780i
\(691\) 13.8071 + 6.14731i 0.525246 + 0.233855i 0.652190 0.758055i \(-0.273850\pi\)
−0.126944 + 0.991910i \(0.540517\pi\)
\(692\) 0.133190 0.0678635i 0.00506311 0.00257979i
\(693\) −34.8850 + 38.6136i −1.32517 + 1.46681i
\(694\) −25.9305 8.42531i −0.984307 0.319821i
\(695\) −1.51791 + 2.02435i −0.0575774 + 0.0767881i
\(696\) −5.32914 15.0891i −0.202001 0.571952i
\(697\) −2.00440 + 1.30167i −0.0759220 + 0.0493043i
\(698\) 15.4412 40.2256i 0.584457 1.52256i
\(699\) −18.8500 + 34.6482i −0.712972 + 1.31051i
\(700\) −6.23479 10.2652i −0.235653 0.387989i
\(701\) 19.2045i 0.725343i 0.931917 + 0.362671i \(0.118135\pi\)
−0.931917 + 0.362671i \(0.881865\pi\)
\(702\) 7.22914 + 30.4480i 0.272846 + 1.14919i
\(703\) 4.67644 9.17802i 0.176375 0.346156i
\(704\) 12.4584 13.8364i 0.469542 0.521479i
\(705\) 6.29056 14.5287i 0.236916 0.547184i
\(706\) −17.9598 19.9464i −0.675927 0.750693i
\(707\) 15.4692 4.14496i 0.581779 0.155887i
\(708\) 6.38917 + 11.7909i 0.240120 + 0.443129i
\(709\) 13.7779 30.9457i 0.517440 1.16219i −0.446188 0.894939i \(-0.647219\pi\)
0.963627 0.267249i \(-0.0861147\pi\)
\(710\) −41.8942 2.82917i −1.57226 0.106177i
\(711\) 23.1010 11.7219i 0.866356 0.439606i
\(712\) −0.858745 + 5.42190i −0.0321828 + 0.203194i
\(713\) 3.25514 1.24953i 0.121906 0.0467953i
\(714\) −29.3563 2.33510i −1.09863 0.0873890i
\(715\) −37.8205 10.7473i −1.41441 0.401927i
\(716\) 15.3408 1.61238i 0.573311 0.0602574i
\(717\) −25.4918 15.6507i −0.952007 0.584487i
\(718\) −0.490716 + 1.83138i −0.0183134 + 0.0683464i
\(719\) 0.655900 2.01865i 0.0244609 0.0752830i −0.938081 0.346416i \(-0.887398\pi\)
0.962542 + 0.271133i \(0.0873984\pi\)
\(720\) 31.4996 + 9.00815i 1.17392 + 0.335714i
\(721\) −10.0675 30.9847i −0.374934 1.15393i
\(722\) −40.9106 + 2.14403i −1.52253 + 0.0797926i
\(723\) −3.46132 18.7632i −0.128728 0.697811i
\(724\) 4.63257 + 2.67461i 0.172168 + 0.0994013i
\(725\) 5.92081 + 20.2828i 0.219893 + 0.753284i
\(726\) −28.9490 15.7494i −1.07440 0.584515i
\(727\) −23.5265 29.0528i −0.872548 1.07751i −0.996364 0.0852017i \(-0.972847\pi\)
0.123816 0.992305i \(-0.460487\pi\)
\(728\) −26.2115 13.3554i −0.971463 0.494985i
\(729\) 24.1184 12.1368i 0.893274 0.449512i
\(730\) 13.0307 57.0625i 0.482288 2.11198i
\(731\) −2.82948 13.3117i −0.104652 0.492350i
\(732\) −2.49616 8.45285i −0.0922606 0.312426i
\(733\) −0.311909 + 5.95158i −0.0115206 + 0.219827i 0.986802 + 0.161931i \(0.0517723\pi\)
−0.998323 + 0.0578954i \(0.981561\pi\)
\(734\) 2.78119 + 26.4612i 0.102655 + 0.976701i
\(735\) 20.2411 13.4424i 0.746603 0.495829i
\(736\) 0.963693 9.16893i 0.0355222 0.337971i
\(737\) 49.1080 + 7.77795i 1.80892 + 0.286504i
\(738\) −1.65557 3.73527i −0.0609423 0.137497i
\(739\) −12.8910 + 17.7430i −0.474203 + 0.652685i −0.977378 0.211500i \(-0.932165\pi\)
0.503175 + 0.864185i \(0.332165\pi\)
\(740\) 0.323575 + 2.26319i 0.0118949 + 0.0831966i
\(741\) −39.2420 16.2931i −1.44159 0.598540i
\(742\) 13.6873 + 0.717322i 0.502477 + 0.0263337i
\(743\) 2.22593 + 8.30729i 0.0816615 + 0.304765i 0.994661 0.103196i \(-0.0329067\pi\)
−0.913000 + 0.407961i \(0.866240\pi\)
\(744\) −5.00282 + 1.19664i −0.183412 + 0.0438711i
\(745\) −28.2900 0.426337i −1.03647 0.0156198i
\(746\) 23.7312 7.71072i 0.868859 0.282309i
\(747\) −17.1986 23.7553i −0.629263 0.869160i
\(748\) −1.40525 8.87239i −0.0513810 0.324407i
\(749\) 29.6414 + 51.3403i 1.08307 + 1.87593i
\(750\) −29.8338 10.3531i −1.08938 0.378042i
\(751\) −22.5016 + 38.9739i −0.821094 + 1.42218i 0.0837743 + 0.996485i \(0.473303\pi\)
−0.904868 + 0.425692i \(0.860031\pi\)
\(752\) 18.6386 + 7.15470i 0.679681 + 0.260905i
\(753\) −6.15321 + 4.22141i −0.224235 + 0.153837i
\(754\) −18.9136 17.0299i −0.688792 0.620191i
\(755\) 27.2799 45.6476i 0.992818 1.66129i
\(756\) 2.94420 12.1293i 0.107079 0.441137i
\(757\) −33.4200 + 33.4200i −1.21467 + 1.21467i −0.245196 + 0.969474i \(0.578852\pi\)
−0.969474 + 0.245196i \(0.921148\pi\)
\(758\) 13.3685 20.5856i 0.485565 0.747704i
\(759\) 20.9883 2.74530i 0.761827 0.0996480i
\(760\) −25.5414 + 20.0534i −0.926485 + 0.727413i
\(761\) −3.23617 7.26856i −0.117311 0.263485i 0.845341 0.534228i \(-0.179397\pi\)
−0.962652 + 0.270742i \(0.912731\pi\)
\(762\) 7.99706 + 1.05964i 0.289703 + 0.0383867i
\(763\) 15.2194 + 39.6478i 0.550978 + 1.43535i
\(764\) −4.47126 3.24856i −0.161764 0.117529i
\(765\) −15.7175 + 11.0222i −0.568267 + 0.398507i
\(766\) −30.4740 + 22.1407i −1.10107 + 0.799974i
\(767\) −36.3743 23.6218i −1.31340 0.852933i
\(768\) −5.79927 + 24.0670i −0.209263 + 0.868442i
\(769\) 28.4942 25.6563i 1.02753 0.925189i 0.0302946 0.999541i \(-0.490355\pi\)
0.997232 + 0.0743518i \(0.0236888\pi\)
\(770\) 46.3619 + 43.0270i 1.67077 + 1.55058i