Properties

Label 225.2.q.a.16.17
Level $225$
Weight $2$
Character 225.16
Analytic conductor $1.797$
Analytic rank $0$
Dimension $224$
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.q (of order \(15\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.79663404548\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(28\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.17
Character \(\chi\) \(=\) 225.16
Dual form 225.2.q.a.211.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.322402 - 0.143543i) q^{2} +(-0.648399 - 1.60611i) q^{3} +(-1.25492 + 1.39373i) q^{4} +(-1.80765 - 1.31620i) q^{5} +(-0.439590 - 0.424739i) q^{6} +(1.84787 - 3.20061i) q^{7} +(-0.422642 + 1.30076i) q^{8} +(-2.15916 + 2.08280i) q^{9} +O(q^{10})\) \(q+(0.322402 - 0.143543i) q^{2} +(-0.648399 - 1.60611i) q^{3} +(-1.25492 + 1.39373i) q^{4} +(-1.80765 - 1.31620i) q^{5} +(-0.439590 - 0.424739i) q^{6} +(1.84787 - 3.20061i) q^{7} +(-0.422642 + 1.30076i) q^{8} +(-2.15916 + 2.08280i) q^{9} +(-0.771722 - 0.164872i) q^{10} +(-5.06633 + 2.25567i) q^{11} +(3.05217 + 1.11185i) q^{12} +(-3.83460 - 1.70728i) q^{13} +(0.136334 - 1.29713i) q^{14} +(-0.941886 + 3.75671i) q^{15} +(-0.341623 - 3.25032i) q^{16} +(0.721064 - 2.21921i) q^{17} +(-0.397147 + 0.981428i) q^{18} +(1.49906 - 4.61362i) q^{19} +(4.10290 - 0.867648i) q^{20} +(-6.33868 - 0.892610i) q^{21} +(-1.30961 + 1.45447i) q^{22} +(0.0122903 - 0.116934i) q^{23} +(2.36319 - 0.164602i) q^{24} +(1.53521 + 4.75848i) q^{25} -1.48135 q^{26} +(4.74519 + 2.11736i) q^{27} +(2.14186 + 6.59196i) q^{28} +(1.63010 + 0.346488i) q^{29} +(0.235582 + 1.34637i) q^{30} +(8.52984 - 1.81307i) q^{31} +(-1.94440 - 3.36779i) q^{32} +(6.90785 + 6.67448i) q^{33} +(-0.0860783 - 0.818980i) q^{34} +(-7.55297 + 3.35341i) q^{35} +(-0.193284 - 5.62304i) q^{36} +(2.35522 - 1.71117i) q^{37} +(-0.178952 - 1.70262i) q^{38} +(-0.255714 + 7.26578i) q^{39} +(2.47605 - 1.79503i) q^{40} +(-3.36731 - 1.49922i) q^{41} +(-2.17173 + 0.622091i) q^{42} +(-2.06835 + 3.58248i) q^{43} +(3.21404 - 9.89180i) q^{44} +(6.64439 - 0.923075i) q^{45} +(-0.0128226 - 0.0394639i) q^{46} +(4.22717 + 0.898512i) q^{47} +(-4.99886 + 2.65619i) q^{48} +(-3.32927 - 5.76646i) q^{49} +(1.17800 + 1.31377i) q^{50} +(-4.03182 + 0.280825i) q^{51} +(7.19162 - 3.20191i) q^{52} +(-3.62572 - 11.1588i) q^{53} +(1.83379 + 0.00150320i) q^{54} +(12.1271 + 2.59085i) q^{55} +(3.38223 + 3.75634i) q^{56} +(-8.38195 + 0.583822i) q^{57} +(0.575283 - 0.122280i) q^{58} +(-7.00923 - 3.12071i) q^{59} +(-4.05385 - 6.02712i) q^{60} +(-1.35990 + 0.605466i) q^{61} +(2.48978 - 1.80893i) q^{62} +(2.67637 + 10.7594i) q^{63} +(4.17780 + 3.03535i) q^{64} +(4.68450 + 8.13328i) q^{65} +(3.18518 + 1.16030i) q^{66} +(0.659374 - 0.140154i) q^{67} +(2.18810 + 3.78991i) q^{68} +(-0.195777 + 0.0560804i) q^{69} +(-1.95373 + 2.16532i) q^{70} +(1.99156 + 6.12940i) q^{71} +(-1.79666 - 3.68882i) q^{72} +(-9.08610 - 6.60143i) q^{73} +(0.513701 - 0.889757i) q^{74} +(6.64720 - 5.55110i) q^{75} +(4.54895 + 7.87902i) q^{76} +(-2.14240 + 20.3835i) q^{77} +(0.960506 + 2.37921i) q^{78} +(-8.44849 - 1.79578i) q^{79} +(-3.66056 + 6.32510i) q^{80} +(0.323926 - 8.99417i) q^{81} -1.30083 q^{82} +(2.71620 + 3.01664i) q^{83} +(9.19861 - 7.71427i) q^{84} +(-4.22437 + 3.06249i) q^{85} +(-0.152600 + 1.45190i) q^{86} +(-0.500457 - 2.84278i) q^{87} +(-0.792843 - 7.54340i) q^{88} +(-7.85033 - 5.70360i) q^{89} +(2.00966 - 1.25135i) q^{90} +(-12.5502 + 9.11824i) q^{91} +(0.147551 + 0.163872i) q^{92} +(-8.44273 - 12.5242i) q^{93} +(1.49182 - 0.317097i) q^{94} +(-8.78224 + 6.36675i) q^{95} +(-4.14829 + 5.30658i) q^{96} +(9.42543 + 2.00344i) q^{97} +(-1.90110 - 1.38123i) q^{98} +(6.24089 - 15.4225i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 3 q^{2} - 8 q^{3} + 23 q^{4} - 8 q^{5} - 10 q^{6} - 8 q^{7} - 20 q^{8} - 8 q^{9} - 20 q^{10} - 11 q^{11} - 4 q^{12} - 3 q^{13} + q^{14} - 48 q^{15} + 23 q^{16} - 24 q^{17} - 12 q^{19} + q^{20} + 15 q^{21} - 11 q^{22} + q^{23} - 30 q^{24} - 16 q^{25} - 136 q^{26} + 7 q^{27} + 4 q^{28} - 15 q^{29} - 24 q^{30} + 3 q^{31} + 12 q^{32} - 5 q^{33} + q^{34} + 14 q^{35} + 38 q^{36} - 24 q^{37} + 55 q^{38} + 20 q^{39} + q^{40} - 19 q^{41} - 38 q^{42} - 8 q^{43} + 4 q^{44} - 38 q^{45} - 20 q^{46} - 10 q^{47} - 25 q^{48} - 72 q^{49} - 3 q^{50} - 26 q^{51} - 25 q^{52} - 12 q^{53} + 53 q^{54} - 20 q^{55} - 60 q^{56} + 38 q^{57} - 23 q^{58} - 30 q^{59} - 33 q^{60} - 3 q^{61} - 44 q^{62} + 46 q^{63} - 44 q^{64} + 51 q^{65} - 134 q^{66} - 12 q^{67} - 156 q^{68} + 4 q^{69} - 16 q^{70} + 42 q^{71} + 74 q^{72} - 12 q^{73} + 90 q^{74} + 67 q^{75} - 8 q^{76} + 31 q^{77} - 92 q^{78} - 15 q^{79} + 298 q^{80} - 104 q^{81} + 8 q^{82} + 59 q^{83} + 115 q^{84} - 11 q^{85} + 9 q^{86} - 59 q^{87} - 23 q^{88} + 106 q^{89} + 107 q^{90} + 30 q^{91} + 11 q^{92} + 32 q^{93} + 25 q^{94} + 7 q^{95} + 35 q^{96} - 21 q^{97} + 146 q^{98} - 20 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.322402 0.143543i 0.227973 0.101500i −0.289572 0.957156i \(-0.593513\pi\)
0.517544 + 0.855656i \(0.326846\pi\)
\(3\) −0.648399 1.60611i −0.374353 0.927286i
\(4\) −1.25492 + 1.39373i −0.627461 + 0.696866i
\(5\) −1.80765 1.31620i −0.808406 0.588625i
\(6\) −0.439590 0.424739i −0.179462 0.173399i
\(7\) 1.84787 3.20061i 0.698430 1.20972i −0.270580 0.962697i \(-0.587216\pi\)
0.969011 0.247019i \(-0.0794512\pi\)
\(8\) −0.422642 + 1.30076i −0.149426 + 0.459887i
\(9\) −2.15916 + 2.08280i −0.719719 + 0.694265i
\(10\) −0.771722 0.164872i −0.244040 0.0521371i
\(11\) −5.06633 + 2.25567i −1.52755 + 0.680111i −0.986930 0.161152i \(-0.948479\pi\)
−0.540625 + 0.841264i \(0.681812\pi\)
\(12\) 3.05217 + 1.11185i 0.881087 + 0.320962i
\(13\) −3.83460 1.70728i −1.06353 0.473513i −0.201036 0.979584i \(-0.564431\pi\)
−0.862492 + 0.506071i \(0.831097\pi\)
\(14\) 0.136334 1.29713i 0.0364368 0.346673i
\(15\) −0.941886 + 3.75671i −0.243194 + 0.969978i
\(16\) −0.341623 3.25032i −0.0854057 0.812581i
\(17\) 0.721064 2.21921i 0.174884 0.538237i −0.824744 0.565506i \(-0.808681\pi\)
0.999628 + 0.0272687i \(0.00868099\pi\)
\(18\) −0.397147 + 0.981428i −0.0936084 + 0.231325i
\(19\) 1.49906 4.61362i 0.343907 1.05844i −0.618259 0.785974i \(-0.712162\pi\)
0.962166 0.272463i \(-0.0878382\pi\)
\(20\) 4.10290 0.867648i 0.917437 0.194012i
\(21\) −6.33868 0.892610i −1.38321 0.194783i
\(22\) −1.30961 + 1.45447i −0.279209 + 0.310093i
\(23\) 0.0122903 0.116934i 0.00256270 0.0243824i −0.993166 0.116712i \(-0.962765\pi\)
0.995729 + 0.0923294i \(0.0294313\pi\)
\(24\) 2.36319 0.164602i 0.482385 0.0335992i
\(25\) 1.53521 + 4.75848i 0.307042 + 0.951696i
\(26\) −1.48135 −0.290517
\(27\) 4.74519 + 2.11736i 0.913212 + 0.407485i
\(28\) 2.14186 + 6.59196i 0.404773 + 1.24576i
\(29\) 1.63010 + 0.346488i 0.302702 + 0.0643413i 0.356759 0.934197i \(-0.383882\pi\)
−0.0540567 + 0.998538i \(0.517215\pi\)
\(30\) 0.235582 + 1.34637i 0.0430111 + 0.245812i
\(31\) 8.52984 1.81307i 1.53200 0.325638i 0.636707 0.771106i \(-0.280296\pi\)
0.895298 + 0.445469i \(0.146963\pi\)
\(32\) −1.94440 3.36779i −0.343724 0.595347i
\(33\) 6.90785 + 6.67448i 1.20250 + 1.16188i
\(34\) −0.0860783 0.818980i −0.0147623 0.140454i
\(35\) −7.55297 + 3.35341i −1.27668 + 0.566830i
\(36\) −0.193284 5.62304i −0.0322140 0.937173i
\(37\) 2.35522 1.71117i 0.387195 0.281314i −0.377110 0.926169i \(-0.623082\pi\)
0.764305 + 0.644855i \(0.223082\pi\)
\(38\) −0.178952 1.70262i −0.0290299 0.276201i
\(39\) −0.255714 + 7.26578i −0.0409471 + 1.16346i
\(40\) 2.47605 1.79503i 0.391498 0.283820i
\(41\) −3.36731 1.49922i −0.525885 0.234139i 0.126582 0.991956i \(-0.459599\pi\)
−0.652467 + 0.757817i \(0.726266\pi\)
\(42\) −2.17173 + 0.622091i −0.335105 + 0.0959908i
\(43\) −2.06835 + 3.58248i −0.315420 + 0.546323i −0.979527 0.201314i \(-0.935479\pi\)
0.664107 + 0.747638i \(0.268812\pi\)
\(44\) 3.21404 9.89180i 0.484535 1.49125i
\(45\) 6.64439 0.923075i 0.990487 0.137604i
\(46\) −0.0128226 0.0394639i −0.00189059 0.00581864i
\(47\) 4.22717 + 0.898512i 0.616596 + 0.131061i 0.505612 0.862761i \(-0.331267\pi\)
0.110983 + 0.993822i \(0.464600\pi\)
\(48\) −4.99886 + 2.65619i −0.721523 + 0.383388i
\(49\) −3.32927 5.76646i −0.475610 0.823781i
\(50\) 1.17800 + 1.31377i 0.166594 + 0.185796i
\(51\) −4.03182 + 0.280825i −0.564568 + 0.0393234i
\(52\) 7.19162 3.20191i 0.997298 0.444026i
\(53\) −3.62572 11.1588i −0.498031 1.53278i −0.812179 0.583409i \(-0.801719\pi\)
0.314148 0.949374i \(-0.398281\pi\)
\(54\) 1.83379 + 0.00150320i 0.249547 + 0.000204560i
\(55\) 12.1271 + 2.59085i 1.63522 + 0.349350i
\(56\) 3.38223 + 3.75634i 0.451969 + 0.501963i
\(57\) −8.38195 + 0.583822i −1.11022 + 0.0773291i
\(58\) 0.575283 0.122280i 0.0755384 0.0160562i
\(59\) −7.00923 3.12071i −0.912524 0.406282i −0.103887 0.994589i \(-0.533128\pi\)
−0.808638 + 0.588307i \(0.799795\pi\)
\(60\) −4.05385 6.02712i −0.523350 0.778097i
\(61\) −1.35990 + 0.605466i −0.174117 + 0.0775220i −0.491944 0.870627i \(-0.663714\pi\)
0.317827 + 0.948149i \(0.397047\pi\)
\(62\) 2.48978 1.80893i 0.316203 0.229735i
\(63\) 2.67637 + 10.7594i 0.337190 + 1.35555i
\(64\) 4.17780 + 3.03535i 0.522226 + 0.379419i
\(65\) 4.68450 + 8.13328i 0.581041 + 1.00881i
\(66\) 3.18518 + 1.16030i 0.392068 + 0.142823i
\(67\) 0.659374 0.140154i 0.0805553 0.0171226i −0.167458 0.985879i \(-0.553556\pi\)
0.248013 + 0.968757i \(0.420222\pi\)
\(68\) 2.18810 + 3.78991i 0.265346 + 0.459594i
\(69\) −0.195777 + 0.0560804i −0.0235688 + 0.00675129i
\(70\) −1.95373 + 2.16532i −0.233516 + 0.258805i
\(71\) 1.99156 + 6.12940i 0.236355 + 0.727425i 0.996939 + 0.0781858i \(0.0249127\pi\)
−0.760584 + 0.649240i \(0.775087\pi\)
\(72\) −1.79666 3.68882i −0.211739 0.434731i
\(73\) −9.08610 6.60143i −1.06345 0.772639i −0.0887240 0.996056i \(-0.528279\pi\)
−0.974723 + 0.223417i \(0.928279\pi\)
\(74\) 0.513701 0.889757i 0.0597166 0.103432i
\(75\) 6.64720 5.55110i 0.767552 0.640986i
\(76\) 4.54895 + 7.87902i 0.521801 + 0.903786i
\(77\) −2.14240 + 20.3835i −0.244149 + 2.32292i
\(78\) 0.960506 + 2.37921i 0.108756 + 0.269392i
\(79\) −8.44849 1.79578i −0.950529 0.202041i −0.293545 0.955945i \(-0.594835\pi\)
−0.656984 + 0.753904i \(0.728168\pi\)
\(80\) −3.66056 + 6.32510i −0.409263 + 0.707168i
\(81\) 0.323926 8.99417i 0.0359918 0.999352i
\(82\) −1.30083 −0.143653
\(83\) 2.71620 + 3.01664i 0.298141 + 0.331120i 0.873539 0.486754i \(-0.161819\pi\)
−0.575397 + 0.817874i \(0.695153\pi\)
\(84\) 9.19861 7.71427i 1.00365 0.841696i
\(85\) −4.22437 + 3.06249i −0.458197 + 0.332173i
\(86\) −0.152600 + 1.45190i −0.0164553 + 0.156562i
\(87\) −0.500457 2.84278i −0.0536547 0.304778i
\(88\) −0.792843 7.54340i −0.0845174 0.804129i
\(89\) −7.85033 5.70360i −0.832133 0.604580i 0.0880291 0.996118i \(-0.471943\pi\)
−0.920162 + 0.391538i \(0.871943\pi\)
\(90\) 2.00966 1.25135i 0.211837 0.131904i
\(91\) −12.5502 + 9.11824i −1.31562 + 0.955852i
\(92\) 0.147551 + 0.163872i 0.0153833 + 0.0170849i
\(93\) −8.44273 12.5242i −0.875470 1.29870i
\(94\) 1.49182 0.317097i 0.153870 0.0327060i
\(95\) −8.78224 + 6.36675i −0.901039 + 0.653215i
\(96\) −4.14829 + 5.30658i −0.423383 + 0.541601i
\(97\) 9.42543 + 2.00344i 0.957008 + 0.203418i 0.659839 0.751407i \(-0.270624\pi\)
0.297168 + 0.954825i \(0.403958\pi\)
\(98\) −1.90110 1.38123i −0.192040 0.139525i
\(99\) 6.24089 15.4225i 0.627233 1.55002i
\(100\) −8.55862 3.83185i −0.855862 0.383185i
\(101\) 6.50797 11.2721i 0.647568 1.12162i −0.336134 0.941814i \(-0.609120\pi\)
0.983702 0.179806i \(-0.0575470\pi\)
\(102\) −1.25956 + 0.669277i −0.124715 + 0.0662683i
\(103\) −4.13474 + 4.59210i −0.407408 + 0.452473i −0.911575 0.411134i \(-0.865133\pi\)
0.504167 + 0.863606i \(0.331800\pi\)
\(104\) 3.84141 4.26632i 0.376682 0.418347i
\(105\) 10.2833 + 9.95653i 1.00354 + 0.971658i
\(106\) −2.77071 3.07718i −0.269115 0.298882i
\(107\) 4.72593 0.456873 0.228437 0.973559i \(-0.426639\pi\)
0.228437 + 0.973559i \(0.426639\pi\)
\(108\) −8.90587 + 3.95641i −0.856968 + 0.380705i
\(109\) 0.143913 0.104559i 0.0137844 0.0100150i −0.580872 0.813995i \(-0.697288\pi\)
0.594656 + 0.803980i \(0.297288\pi\)
\(110\) 4.28169 0.905458i 0.408243 0.0863320i
\(111\) −4.27543 2.67321i −0.405806 0.253730i
\(112\) −11.0343 4.91278i −1.04264 0.464214i
\(113\) 7.93576 + 3.53323i 0.746534 + 0.332378i 0.744502 0.667620i \(-0.232687\pi\)
0.00203114 + 0.999998i \(0.499353\pi\)
\(114\) −2.61855 + 1.39139i −0.245250 + 0.130316i
\(115\) −0.176126 + 0.195199i −0.0164238 + 0.0182024i
\(116\) −2.52856 + 1.83711i −0.234771 + 0.170571i
\(117\) 11.8354 4.30042i 1.09419 0.397574i
\(118\) −2.70774 −0.249268
\(119\) −5.77038 6.40866i −0.528970 0.587481i
\(120\) −4.48848 2.81291i −0.409741 0.256782i
\(121\) 13.2192 14.6814i 1.20174 1.33467i
\(122\) −0.351524 + 0.390407i −0.0318255 + 0.0353458i
\(123\) −0.224552 + 6.38035i −0.0202472 + 0.575297i
\(124\) −8.17735 + 14.1636i −0.734348 + 1.27193i
\(125\) 3.48801 10.6223i 0.311977 0.950090i
\(126\) 2.40729 + 3.08467i 0.214459 + 0.274804i
\(127\) −2.28222 1.65813i −0.202514 0.147135i 0.481906 0.876223i \(-0.339945\pi\)
−0.684420 + 0.729088i \(0.739945\pi\)
\(128\) 9.39026 + 1.99596i 0.829990 + 0.176420i
\(129\) 7.09496 + 0.999109i 0.624677 + 0.0879667i
\(130\) 2.67777 + 1.94976i 0.234856 + 0.171005i
\(131\) −12.4804 + 2.65278i −1.09041 + 0.231775i −0.717827 0.696222i \(-0.754863\pi\)
−0.372588 + 0.927997i \(0.621530\pi\)
\(132\) −17.9713 + 1.25174i −1.56420 + 0.108950i
\(133\) −11.9963 13.3233i −1.04021 1.15527i
\(134\) 0.192465 0.139834i 0.0166265 0.0120798i
\(135\) −5.79077 10.0731i −0.498390 0.866953i
\(136\) 2.58190 + 1.87586i 0.221396 + 0.160854i
\(137\) −0.336803 3.20447i −0.0287751 0.273776i −0.999444 0.0333546i \(-0.989381\pi\)
0.970669 0.240422i \(-0.0772857\pi\)
\(138\) −0.0550691 + 0.0461828i −0.00468779 + 0.00393134i
\(139\) −2.36782 + 22.5283i −0.200836 + 1.91082i 0.175740 + 0.984437i \(0.443768\pi\)
−0.376576 + 0.926386i \(0.622898\pi\)
\(140\) 4.80464 14.7351i 0.406066 1.24534i
\(141\) −1.29778 7.37188i −0.109293 0.620824i
\(142\) 1.52191 + 1.69025i 0.127716 + 0.141843i
\(143\) 23.2784 1.94664
\(144\) 7.50738 + 6.30643i 0.625615 + 0.525536i
\(145\) −2.49060 2.77188i −0.206833 0.230192i
\(146\) −3.87696 0.824074i −0.320860 0.0682008i
\(147\) −7.10286 + 9.08613i −0.585834 + 0.749411i
\(148\) −0.570708 + 5.42992i −0.0469119 + 0.446337i
\(149\) 6.71097 + 11.6237i 0.549784 + 0.952254i 0.998289 + 0.0584738i \(0.0186234\pi\)
−0.448505 + 0.893780i \(0.648043\pi\)
\(150\) 1.34625 2.74384i 0.109921 0.224034i
\(151\) −5.28514 + 9.15413i −0.430098 + 0.744952i −0.996881 0.0789149i \(-0.974854\pi\)
0.566783 + 0.823867i \(0.308188\pi\)
\(152\) 5.36763 + 3.89982i 0.435373 + 0.316317i
\(153\) 3.06526 + 6.29345i 0.247812 + 0.508795i
\(154\) 2.23519 + 6.87921i 0.180117 + 0.554343i
\(155\) −17.8054 7.94961i −1.43016 0.638528i
\(156\) −9.80565 9.47439i −0.785081 0.758558i
\(157\) −9.96211 17.2549i −0.795063 1.37709i −0.922799 0.385281i \(-0.874104\pi\)
0.127736 0.991808i \(-0.459229\pi\)
\(158\) −2.98158 + 0.633754i −0.237202 + 0.0504188i
\(159\) −15.5714 + 13.0587i −1.23489 + 1.03562i
\(160\) −0.917914 + 8.64702i −0.0725675 + 0.683607i
\(161\) −0.351549 0.255415i −0.0277060 0.0201296i
\(162\) −1.18661 2.94623i −0.0932290 0.231478i
\(163\) 5.33592 3.87677i 0.417941 0.303652i −0.358868 0.933388i \(-0.616837\pi\)
0.776809 + 0.629736i \(0.216837\pi\)
\(164\) 6.31523 2.81172i 0.493136 0.219559i
\(165\) −3.70200 21.1573i −0.288201 1.64709i
\(166\) 1.30872 + 0.582681i 0.101577 + 0.0452249i
\(167\) 4.26590 0.906745i 0.330105 0.0701661i −0.0398777 0.999205i \(-0.512697\pi\)
0.369983 + 0.929039i \(0.379363\pi\)
\(168\) 3.84006 7.86783i 0.296267 0.607016i
\(169\) 3.09070 + 3.43257i 0.237746 + 0.264044i
\(170\) −0.922346 + 1.59373i −0.0707407 + 0.122233i
\(171\) 6.37253 + 13.0838i 0.487319 + 1.00054i
\(172\) −2.39741 7.37846i −0.182801 0.562602i
\(173\) 1.16330 0.517936i 0.0884444 0.0393780i −0.362038 0.932163i \(-0.617919\pi\)
0.450482 + 0.892786i \(0.351252\pi\)
\(174\) −0.569408 0.844680i −0.0431667 0.0640350i
\(175\) 18.0669 + 3.87946i 1.36573 + 0.293259i
\(176\) 9.06244 + 15.6966i 0.683107 + 1.18318i
\(177\) −0.467418 + 13.2810i −0.0351333 + 0.998264i
\(178\) −3.34967 0.711994i −0.251068 0.0533662i
\(179\) −1.80122 5.54358i −0.134629 0.414347i 0.860903 0.508770i \(-0.169899\pi\)
−0.995532 + 0.0944227i \(0.969899\pi\)
\(180\) −7.05168 + 10.4189i −0.525601 + 0.776578i
\(181\) −0.488485 + 1.50340i −0.0363088 + 0.111747i −0.967568 0.252610i \(-0.918711\pi\)
0.931259 + 0.364357i \(0.118711\pi\)
\(182\) −2.73735 + 4.74122i −0.202906 + 0.351443i
\(183\) 1.85420 + 1.79156i 0.137067 + 0.132436i
\(184\) 0.146908 + 0.0654078i 0.0108302 + 0.00482193i
\(185\) −6.50966 0.00675687i −0.478599 0.000496775i
\(186\) −4.51971 2.82595i −0.331401 0.207209i
\(187\) 1.35266 + 12.8697i 0.0989164 + 0.941127i
\(188\) −6.55706 + 4.76398i −0.478222 + 0.347449i
\(189\) 15.5453 11.2749i 1.13076 0.820128i
\(190\) −1.91751 + 3.31328i −0.139111 + 0.240370i
\(191\) 0.207758 + 1.97668i 0.0150328 + 0.143028i 0.999464 0.0327440i \(-0.0104246\pi\)
−0.984431 + 0.175772i \(0.943758\pi\)
\(192\) 2.16622 8.67812i 0.156333 0.626289i
\(193\) −0.278612 0.482570i −0.0200549 0.0347362i 0.855824 0.517268i \(-0.173051\pi\)
−0.875879 + 0.482531i \(0.839717\pi\)
\(194\) 3.32636 0.707039i 0.238818 0.0507624i
\(195\) 10.0255 12.7974i 0.717941 0.916443i
\(196\) 12.2149 + 2.59635i 0.872492 + 0.185454i
\(197\) 4.27834 + 13.1674i 0.304819 + 0.938137i 0.979745 + 0.200251i \(0.0641758\pi\)
−0.674925 + 0.737886i \(0.735824\pi\)
\(198\) −0.201707 5.86807i −0.0143347 0.417026i
\(199\) −9.32321 −0.660905 −0.330452 0.943823i \(-0.607201\pi\)
−0.330452 + 0.943823i \(0.607201\pi\)
\(200\) −6.83847 0.0141964i −0.483553 0.00100383i
\(201\) −0.652640 0.968149i −0.0460337 0.0682880i
\(202\) 0.480151 4.56833i 0.0337833 0.321427i
\(203\) 4.12119 4.57705i 0.289251 0.321246i
\(204\) 4.66823 5.97170i 0.326841 0.418102i
\(205\) 4.11364 + 7.14214i 0.287309 + 0.498829i
\(206\) −0.673887 + 2.07401i −0.0469520 + 0.144503i
\(207\) 0.217013 + 0.278077i 0.0150834 + 0.0193277i
\(208\) −4.23921 + 13.0469i −0.293936 + 0.904643i
\(209\) 2.81211 + 26.7555i 0.194518 + 1.85072i
\(210\) 4.74453 + 1.73392i 0.327404 + 0.119652i
\(211\) 2.49845 23.7712i 0.172001 1.63648i −0.479297 0.877653i \(-0.659108\pi\)
0.651297 0.758823i \(-0.274225\pi\)
\(212\) 20.1024 + 8.95018i 1.38064 + 0.614701i
\(213\) 8.55314 7.17295i 0.586051 0.491483i
\(214\) 1.52365 0.678373i 0.104155 0.0463726i
\(215\) 8.45413 3.75351i 0.576567 0.255987i
\(216\) −4.75968 + 5.27745i −0.323855 + 0.359085i
\(217\) 9.95912 30.6510i 0.676069 2.08073i
\(218\) 0.0313893 0.0543678i 0.00212595 0.00368225i
\(219\) −4.71120 + 18.8736i −0.318353 + 1.27536i
\(220\) −18.8295 + 13.6506i −1.26948 + 0.920323i
\(221\) −6.55380 + 7.27873i −0.440856 + 0.489620i
\(222\) −1.76213 0.248142i −0.118266 0.0166542i
\(223\) 22.9260 10.2073i 1.53524 0.683532i 0.547095 0.837070i \(-0.315734\pi\)
0.988143 + 0.153539i \(0.0490669\pi\)
\(224\) −14.3720 −0.960269
\(225\) −13.2257 7.07678i −0.881713 0.471785i
\(226\) 3.06567 0.203926
\(227\) 11.7651 5.23816i 0.780877 0.347669i 0.0227210 0.999742i \(-0.492767\pi\)
0.758156 + 0.652073i \(0.226100\pi\)
\(228\) 9.70501 12.4149i 0.642730 0.822194i
\(229\) 2.26335 2.51370i 0.149566 0.166110i −0.663706 0.747994i \(-0.731017\pi\)
0.813272 + 0.581884i \(0.197684\pi\)
\(230\) −0.0287638 + 0.0882142i −0.00189663 + 0.00581667i
\(231\) 34.1273 9.77574i 2.24541 0.643197i
\(232\) −1.13965 + 1.97392i −0.0748214 + 0.129594i
\(233\) 7.67143 23.6102i 0.502572 1.54676i −0.302243 0.953231i \(-0.597735\pi\)
0.804815 0.593526i \(-0.202265\pi\)
\(234\) 3.19847 3.08535i 0.209090 0.201696i
\(235\) −6.45862 7.18802i −0.421314 0.468894i
\(236\) 13.1455 5.85275i 0.855698 0.380981i
\(237\) 2.59377 + 14.7336i 0.168484 + 0.957047i
\(238\) −2.78030 1.23787i −0.180220 0.0802391i
\(239\) 1.31584 12.5194i 0.0851147 0.809813i −0.865806 0.500379i \(-0.833194\pi\)
0.950921 0.309433i \(-0.100139\pi\)
\(240\) 12.5323 + 1.77806i 0.808955 + 0.114773i
\(241\) −1.24674 11.8620i −0.0803097 0.764096i −0.958367 0.285540i \(-0.907827\pi\)
0.878057 0.478556i \(-0.158840\pi\)
\(242\) 2.15448 6.63081i 0.138495 0.426245i
\(243\) −14.6556 + 5.31155i −0.940159 + 0.340736i
\(244\) 0.862711 2.65515i 0.0552294 0.169979i
\(245\) −1.57169 + 14.8058i −0.100411 + 0.945905i
\(246\) 0.843456 + 2.08927i 0.0537768 + 0.133207i
\(247\) −13.6250 + 15.1321i −0.866938 + 0.962833i
\(248\) −1.24670 + 11.8615i −0.0791653 + 0.753208i
\(249\) 3.08387 6.31849i 0.195432 0.400418i
\(250\) −0.400215 3.92534i −0.0253118 0.248260i
\(251\) 25.9859 1.64021 0.820107 0.572210i \(-0.193914\pi\)
0.820107 + 0.572210i \(0.193914\pi\)
\(252\) −18.3543 9.77203i −1.15621 0.615580i
\(253\) 0.201498 + 0.620148i 0.0126681 + 0.0389884i
\(254\) −0.973803 0.206988i −0.0611018 0.0129876i
\(255\) 7.65776 + 4.79907i 0.479547 + 0.300529i
\(256\) −6.78846 + 1.44293i −0.424279 + 0.0901833i
\(257\) −10.6268 18.4062i −0.662884 1.14815i −0.979854 0.199714i \(-0.935999\pi\)
0.316970 0.948436i \(-0.397335\pi\)
\(258\) 2.43084 0.696315i 0.151338 0.0433507i
\(259\) −1.12463 10.7001i −0.0698812 0.664875i
\(260\) −17.2143 3.67769i −1.06759 0.228081i
\(261\) −4.24131 + 2.64704i −0.262530 + 0.163848i
\(262\) −3.64291 + 2.64673i −0.225060 + 0.163515i
\(263\) 1.18423 + 11.2672i 0.0730230 + 0.694768i 0.968390 + 0.249439i \(0.0802464\pi\)
−0.895367 + 0.445328i \(0.853087\pi\)
\(264\) −11.6014 + 6.16452i −0.714019 + 0.379400i
\(265\) −8.13326 + 24.9435i −0.499622 + 1.53226i
\(266\) −5.78010 2.57347i −0.354401 0.157789i
\(267\) −4.07044 + 16.3067i −0.249107 + 0.997952i
\(268\) −0.632126 + 1.09487i −0.0386132 + 0.0668801i
\(269\) −6.24902 + 19.2325i −0.381010 + 1.17263i 0.558324 + 0.829623i \(0.311444\pi\)
−0.939334 + 0.343004i \(0.888556\pi\)
\(270\) −3.31287 2.41636i −0.201615 0.147055i
\(271\) 8.26847 + 25.4477i 0.502274 + 1.54584i 0.805306 + 0.592859i \(0.202001\pi\)
−0.303033 + 0.952980i \(0.597999\pi\)
\(272\) −7.45948 1.58556i −0.452297 0.0961387i
\(273\) 22.7824 + 14.2447i 1.37885 + 0.862127i
\(274\) −0.568564 0.984782i −0.0343482 0.0594928i
\(275\) −18.5115 20.6451i −1.11628 1.24495i
\(276\) 0.167524 0.343238i 0.0100838 0.0206605i
\(277\) −11.5048 + 5.12229i −0.691259 + 0.307768i −0.722132 0.691755i \(-0.756838\pi\)
0.0308731 + 0.999523i \(0.490171\pi\)
\(278\) 2.47038 + 7.60304i 0.148163 + 0.456000i
\(279\) −14.6410 + 21.6806i −0.876534 + 1.29798i
\(280\) −1.16977 11.2419i −0.0699072 0.671830i
\(281\) 12.7349 + 14.1436i 0.759703 + 0.843735i 0.991645 0.128994i \(-0.0411749\pi\)
−0.231943 + 0.972729i \(0.574508\pi\)
\(282\) −1.47659 2.19042i −0.0879294 0.130438i
\(283\) 19.2572 4.09324i 1.14472 0.243318i 0.403759 0.914865i \(-0.367703\pi\)
0.740961 + 0.671548i \(0.234370\pi\)
\(284\) −11.0420 4.91621i −0.655222 0.291724i
\(285\) 15.9201 + 9.97702i 0.943024 + 0.590988i
\(286\) 7.50500 3.34144i 0.443780 0.197584i
\(287\) −11.0208 + 8.00707i −0.650536 + 0.472642i
\(288\) 11.2127 + 3.22182i 0.660714 + 0.189847i
\(289\) 9.34834 + 6.79196i 0.549902 + 0.399527i
\(290\) −1.20086 0.536150i −0.0705168 0.0314838i
\(291\) −2.89370 16.4373i −0.169632 0.963570i
\(292\) 20.6030 4.37930i 1.20570 0.256279i
\(293\) −8.01286 13.8787i −0.468116 0.810801i 0.531220 0.847234i \(-0.321734\pi\)
−0.999336 + 0.0364328i \(0.988401\pi\)
\(294\) −0.985730 + 3.94895i −0.0574889 + 0.230307i
\(295\) 8.56276 + 14.8667i 0.498543 + 0.865575i
\(296\) 1.23040 + 3.78677i 0.0715154 + 0.220102i
\(297\) −28.8167 0.0236218i −1.67212 0.00137067i
\(298\) 3.83213 + 2.78421i 0.221989 + 0.161285i
\(299\) −0.246767 + 0.427413i −0.0142709 + 0.0247179i
\(300\) −0.604964 + 16.2306i −0.0349276 + 0.937076i
\(301\) 7.64409 + 13.2399i 0.440598 + 0.763138i
\(302\) −0.389931 + 3.70995i −0.0224380 + 0.213484i
\(303\) −22.3240 3.14366i −1.28248 0.180598i
\(304\) −15.5079 3.29630i −0.889437 0.189056i
\(305\) 3.25514 + 0.695434i 0.186389 + 0.0398205i
\(306\) 1.89163 + 1.58902i 0.108137 + 0.0908385i
\(307\) −11.3485 −0.647692 −0.323846 0.946110i \(-0.604976\pi\)
−0.323846 + 0.946110i \(0.604976\pi\)
\(308\) −25.7207 28.5657i −1.46557 1.62768i
\(309\) 10.0564 + 3.66333i 0.572086 + 0.208399i
\(310\) −6.88159 0.00714292i −0.390848 0.000405691i
\(311\) 1.11184 10.5785i 0.0630468 0.599850i −0.916695 0.399587i \(-0.869154\pi\)
0.979742 0.200263i \(-0.0641798\pi\)
\(312\) −9.34294 3.40344i −0.528940 0.192682i
\(313\) −2.17284 20.6731i −0.122816 1.16852i −0.866217 0.499669i \(-0.833455\pi\)
0.743401 0.668846i \(-0.233212\pi\)
\(314\) −5.68861 4.13302i −0.321027 0.233240i
\(315\) 9.32359 22.9718i 0.525325 1.29432i
\(316\) 13.1050 9.52137i 0.737216 0.535619i
\(317\) −11.7370 13.0353i −0.659217 0.732135i 0.317121 0.948385i \(-0.397284\pi\)
−0.976338 + 0.216250i \(0.930617\pi\)
\(318\) −3.14576 + 6.44529i −0.176405 + 0.361434i
\(319\) −9.04018 + 1.92155i −0.506153 + 0.107586i
\(320\) −3.55687 10.9857i −0.198835 0.614120i
\(321\) −3.06429 7.59035i −0.171032 0.423652i
\(322\) −0.150003 0.0318842i −0.00835935 0.00177683i
\(323\) −9.15767 6.65343i −0.509546 0.370207i
\(324\) 12.1290 + 11.7385i 0.673831 + 0.652136i
\(325\) 2.23711 20.8679i 0.124093 1.15754i
\(326\) 1.16383 2.01581i 0.0644585 0.111645i
\(327\) −0.261247 0.163344i −0.0144470 0.00903296i
\(328\) 3.37329 3.74642i 0.186259 0.206861i
\(329\) 10.6871 11.8692i 0.589197 0.654369i
\(330\) −4.23051 6.28976i −0.232882 0.346240i
\(331\) −0.838053 0.930752i −0.0460636 0.0511588i 0.719673 0.694313i \(-0.244292\pi\)
−0.765736 + 0.643155i \(0.777625\pi\)
\(332\) −7.61301 −0.417818
\(333\) −1.52128 + 8.60011i −0.0833655 + 0.471283i
\(334\) 1.24518 0.904675i 0.0681331 0.0495016i
\(335\) −1.37639 0.614521i −0.0752002 0.0335749i
\(336\) −0.735833 + 20.9077i −0.0401430 + 1.14061i
\(337\) −15.8316 7.04866i −0.862400 0.383965i −0.0726229 0.997359i \(-0.523137\pi\)
−0.789777 + 0.613394i \(0.789804\pi\)
\(338\) 1.48917 + 0.663020i 0.0810000 + 0.0360635i
\(339\) 0.529204 15.0366i 0.0287424 0.816677i
\(340\) 1.03296 9.73082i 0.0560203 0.527728i
\(341\) −39.1252 + 28.4262i −2.11875 + 1.53936i
\(342\) 3.93259 + 3.30350i 0.212650 + 0.178633i
\(343\) 1.26195 0.0681390
\(344\) −3.78577 4.20452i −0.204115 0.226693i
\(345\) 0.427711 + 0.156309i 0.0230272 + 0.00841542i
\(346\) 0.300706 0.333967i 0.0161660 0.0179542i
\(347\) −2.33602 + 2.59441i −0.125404 + 0.139275i −0.802577 0.596549i \(-0.796538\pi\)
0.677173 + 0.735824i \(0.263205\pi\)
\(348\) 4.59011 + 2.86996i 0.246056 + 0.153846i
\(349\) 2.58364 4.47500i 0.138299 0.239541i −0.788554 0.614966i \(-0.789170\pi\)
0.926853 + 0.375425i \(0.122503\pi\)
\(350\) 6.38167 1.34263i 0.341115 0.0717664i
\(351\) −14.5810 16.2206i −0.778276 0.865790i
\(352\) 17.4476 + 12.6764i 0.929960 + 0.675655i
\(353\) 2.34215 + 0.497840i 0.124660 + 0.0264974i 0.269819 0.962911i \(-0.413036\pi\)
−0.145159 + 0.989408i \(0.546369\pi\)
\(354\) 1.75570 + 4.34893i 0.0933143 + 0.231143i
\(355\) 4.46749 13.7011i 0.237110 0.727180i
\(356\) 17.8008 3.78369i 0.943443 0.200535i
\(357\) −6.55148 + 13.4232i −0.346741 + 0.710432i
\(358\) −1.37646 1.52871i −0.0727480 0.0807948i
\(359\) 26.0634 18.9362i 1.37557 0.999413i 0.378296 0.925685i \(-0.376510\pi\)
0.997278 0.0737286i \(-0.0234899\pi\)
\(360\) −1.60750 + 9.03287i −0.0847227 + 0.476074i
\(361\) −3.66700 2.66423i −0.193000 0.140223i
\(362\) 0.0583138 + 0.554819i 0.00306490 + 0.0291606i
\(363\) −32.1511 11.7120i −1.68750 0.614721i
\(364\) 3.04112 28.9343i 0.159398 1.51657i
\(365\) 7.73566 + 23.8923i 0.404903 + 1.25058i
\(366\) 0.854963 + 0.311446i 0.0446896 + 0.0162795i
\(367\) 7.87365 + 8.74458i 0.411001 + 0.456463i 0.912731 0.408561i \(-0.133969\pi\)
−0.501730 + 0.865025i \(0.667303\pi\)
\(368\) −0.384272 −0.0200316
\(369\) 10.3931 3.77636i 0.541045 0.196589i
\(370\) −2.09970 + 0.932234i −0.109158 + 0.0484646i
\(371\) −42.4149 9.01557i −2.20207 0.468065i
\(372\) 28.0504 + 3.95004i 1.45435 + 0.204800i
\(373\) 0.376273 3.58000i 0.0194827 0.185366i −0.980452 0.196756i \(-0.936959\pi\)
0.999935 + 0.0113908i \(0.00362588\pi\)
\(374\) 2.28345 + 3.95506i 0.118075 + 0.204511i
\(375\) −19.3222 + 1.28539i −0.997795 + 0.0663772i
\(376\) −2.95532 + 5.11877i −0.152409 + 0.263980i
\(377\) −5.65924 4.11168i −0.291465 0.211762i
\(378\) 3.39342 5.86646i 0.174539 0.301738i
\(379\) 5.79630 + 17.8392i 0.297736 + 0.916336i 0.982289 + 0.187373i \(0.0599974\pi\)
−0.684553 + 0.728963i \(0.740003\pi\)
\(380\) 2.14748 20.2299i 0.110163 1.03777i
\(381\) −1.18334 + 4.74061i −0.0606245 + 0.242869i
\(382\) 0.350720 + 0.607464i 0.0179444 + 0.0310806i
\(383\) 16.5379 3.51524i 0.845048 0.179621i 0.235010 0.971993i \(-0.424488\pi\)
0.610038 + 0.792372i \(0.291154\pi\)
\(384\) −2.88291 16.3759i −0.147118 0.835681i
\(385\) 30.7016 34.0265i 1.56470 1.73415i
\(386\) −0.159094 0.115589i −0.00809769 0.00588332i
\(387\) −2.99569 12.0431i −0.152279 0.612185i
\(388\) −14.6204 + 10.6224i −0.742241 + 0.539269i
\(389\) −6.08407 + 2.70880i −0.308475 + 0.137342i −0.555135 0.831760i \(-0.687333\pi\)
0.246660 + 0.969102i \(0.420667\pi\)
\(390\) 1.39526 5.56500i 0.0706519 0.281795i
\(391\) −0.250639 0.111592i −0.0126753 0.00564343i
\(392\) 8.90786 1.89342i 0.449915 0.0956323i
\(393\) 12.3529 + 18.3247i 0.623122 + 0.924361i
\(394\) 3.26942 + 3.63106i 0.164711 + 0.182930i
\(395\) 12.9083 + 14.3661i 0.649487 + 0.722836i
\(396\) 13.6630 + 28.0522i 0.686590 + 1.40967i
\(397\) 9.41994 + 28.9916i 0.472773 + 1.45505i 0.848937 + 0.528494i \(0.177243\pi\)
−0.376164 + 0.926553i \(0.622757\pi\)
\(398\) −3.00582 + 1.33828i −0.150668 + 0.0670818i
\(399\) −13.6202 + 27.9062i −0.681863 + 1.39706i
\(400\) 14.9421 6.61553i 0.747107 0.330777i
\(401\) −16.1027 27.8907i −0.804130 1.39279i −0.916877 0.399171i \(-0.869298\pi\)
0.112746 0.993624i \(-0.464035\pi\)
\(402\) −0.349383 0.218451i −0.0174256 0.0108954i
\(403\) −35.8040 7.61037i −1.78352 0.379099i
\(404\) 7.54335 + 23.2160i 0.375296 + 1.15504i
\(405\) −12.4237 + 15.8320i −0.617339 + 0.786697i
\(406\) 0.671679 2.06722i 0.0333349 0.102594i
\(407\) −8.07247 + 13.9819i −0.400137 + 0.693058i
\(408\) 1.33873 5.36311i 0.0662770 0.265514i
\(409\) 4.04636 + 1.80156i 0.200080 + 0.0890812i 0.504330 0.863511i \(-0.331739\pi\)
−0.304251 + 0.952592i \(0.598406\pi\)
\(410\) 2.35145 + 1.71216i 0.116130 + 0.0845574i
\(411\) −4.92834 + 2.61872i −0.243097 + 0.129172i
\(412\) −1.21137 11.5255i −0.0596801 0.567818i
\(413\) −22.9404 + 16.6671i −1.12882 + 0.820136i
\(414\) 0.109881 + 0.0585020i 0.00540037 + 0.00287521i
\(415\) −0.939419 9.02811i −0.0461143 0.443173i
\(416\) 1.70624 + 16.2338i 0.0836552 + 0.795926i
\(417\) 37.7181 10.8043i 1.84706 0.529091i
\(418\) 4.74718 + 8.22236i 0.232192 + 0.402169i
\(419\) −16.3235 + 3.46968i −0.797457 + 0.169505i −0.588582 0.808438i \(-0.700314\pi\)
−0.208875 + 0.977942i \(0.566980\pi\)
\(420\) −26.7814 + 1.83746i −1.30680 + 0.0896587i
\(421\) 7.87200 + 1.67324i 0.383658 + 0.0815490i 0.395703 0.918378i \(-0.370501\pi\)
−0.0120454 + 0.999927i \(0.503834\pi\)
\(422\) −2.60667 8.02251i −0.126891 0.390530i
\(423\) −10.9985 + 6.86430i −0.534767 + 0.333754i
\(424\) 16.0473 0.779326
\(425\) 11.6670 + 0.0242202i 0.565935 + 0.00117485i
\(426\) 1.72792 3.54031i 0.0837182 0.171529i
\(427\) −0.575060 + 5.47133i −0.0278291 + 0.264776i
\(428\) −5.93068 + 6.58669i −0.286670 + 0.318380i
\(429\) −15.0937 37.3876i −0.728730 1.80509i
\(430\) 2.18684 2.42367i 0.105459 0.116880i
\(431\) 0.708440 2.18035i 0.0341244 0.105024i −0.932544 0.361058i \(-0.882416\pi\)
0.966668 + 0.256034i \(0.0824158\pi\)
\(432\) 5.26103 16.1467i 0.253121 0.776860i
\(433\) −4.01620 + 12.3606i −0.193006 + 0.594012i 0.806988 + 0.590568i \(0.201096\pi\)
−0.999994 + 0.00344378i \(0.998904\pi\)
\(434\) −1.18889 11.3115i −0.0570684 0.542970i
\(435\) −2.83702 + 5.79746i −0.136025 + 0.277967i
\(436\) −0.0348726 + 0.331791i −0.00167009 + 0.0158899i
\(437\) −0.521065 0.231993i −0.0249259 0.0110977i
\(438\) 1.19027 + 6.76114i 0.0568732 + 0.323060i
\(439\) −25.9750 + 11.5648i −1.23972 + 0.551958i −0.918640 0.395095i \(-0.870712\pi\)
−0.321077 + 0.947053i \(0.604045\pi\)
\(440\) −8.49548 + 14.6794i −0.405006 + 0.699812i
\(441\) 19.1988 + 5.51652i 0.914228 + 0.262691i
\(442\) −1.06815 + 3.28742i −0.0508067 + 0.156367i
\(443\) 4.68519 8.11498i 0.222600 0.385555i −0.732997 0.680232i \(-0.761879\pi\)
0.955597 + 0.294678i \(0.0952123\pi\)
\(444\) 9.09108 2.60414i 0.431444 0.123587i
\(445\) 6.68356 + 20.6428i 0.316831 + 0.978560i
\(446\) 5.92620 6.58171i 0.280614 0.311653i
\(447\) 14.3176 18.3154i 0.677199 0.866287i
\(448\) 17.4350 7.76258i 0.823728 0.366747i
\(449\) 0.615561 0.0290501 0.0145251 0.999895i \(-0.495376\pi\)
0.0145251 + 0.999895i \(0.495376\pi\)
\(450\) −5.27981 0.383117i −0.248893 0.0180603i
\(451\) 20.4416 0.962559
\(452\) −14.8831 + 6.62640i −0.700044 + 0.311680i
\(453\) 18.1294 + 2.55297i 0.851793 + 0.119949i
\(454\) 3.04119 3.37759i 0.142730 0.158518i
\(455\) 34.6878 + 0.0360051i 1.62619 + 0.00168795i
\(456\) 2.78315 11.1496i 0.130333 0.522129i
\(457\) −7.68458 + 13.3101i −0.359469 + 0.622619i −0.987872 0.155269i \(-0.950376\pi\)
0.628403 + 0.777888i \(0.283709\pi\)
\(458\) 0.368884 1.13531i 0.0172368 0.0530495i
\(459\) 8.12044 9.00381i 0.379030 0.420262i
\(460\) −0.0510319 0.490432i −0.00237937 0.0228665i
\(461\) −6.83665 + 3.04387i −0.318415 + 0.141767i −0.559720 0.828682i \(-0.689091\pi\)
0.241305 + 0.970449i \(0.422425\pi\)
\(462\) 9.59946 8.05043i 0.446607 0.374540i
\(463\) 13.1605 + 5.85945i 0.611622 + 0.272312i 0.689082 0.724684i \(-0.258014\pi\)
−0.0774593 + 0.996996i \(0.524681\pi\)
\(464\) 0.569320 5.41672i 0.0264300 0.251465i
\(465\) −1.22295 + 33.7518i −0.0567130 + 1.56520i
\(466\) −0.915790 8.71316i −0.0424231 0.403629i
\(467\) 2.08120 6.40526i 0.0963062 0.296400i −0.891286 0.453442i \(-0.850196\pi\)
0.987592 + 0.157042i \(0.0501958\pi\)
\(468\) −8.85890 + 21.8921i −0.409503 + 1.01196i
\(469\) 0.769860 2.36939i 0.0355488 0.109408i
\(470\) −3.11406 1.39034i −0.143641 0.0641317i
\(471\) −21.2538 + 27.1883i −0.979321 + 1.25277i
\(472\) 7.02168 7.79837i 0.323199 0.358949i
\(473\) 2.39801 22.8155i 0.110261 1.04906i
\(474\) 2.95113 + 4.37781i 0.135550 + 0.201079i
\(475\) 24.2552 + 0.0503526i 1.11290 + 0.00231034i
\(476\) 16.1733 0.741304
\(477\) 31.0701 + 16.5420i 1.42260 + 0.757408i
\(478\) −1.37284 4.22516i −0.0627921 0.193254i
\(479\) −0.617776 0.131312i −0.0282269 0.00599981i 0.193777 0.981046i \(-0.437926\pi\)
−0.222003 + 0.975046i \(0.571260\pi\)
\(480\) 14.4832 4.13245i 0.661065 0.188620i
\(481\) −11.9528 + 2.54064i −0.544999 + 0.115843i
\(482\) −2.10465 3.64536i −0.0958641 0.166042i
\(483\) −0.182280 + 0.730237i −0.00829405 + 0.0332269i
\(484\) 3.87288 + 36.8480i 0.176040 + 1.67491i
\(485\) −14.4010 16.0273i −0.653914 0.727763i
\(486\) −3.96257 + 3.81616i −0.179746 + 0.173105i
\(487\) 15.7164 11.4186i 0.712176 0.517426i −0.171699 0.985150i \(-0.554926\pi\)
0.883875 + 0.467723i \(0.154926\pi\)
\(488\) −0.212814 2.02479i −0.00963366 0.0916581i
\(489\) −9.68631 6.05636i −0.438030 0.273878i
\(490\) 1.61854 + 4.99901i 0.0731183 + 0.225832i
\(491\) 25.5533 + 11.3770i 1.15320 + 0.513439i 0.892085 0.451868i \(-0.149242\pi\)
0.261117 + 0.965307i \(0.415909\pi\)
\(492\) −8.61071 8.31981i −0.388201 0.375086i
\(493\) 1.94434 3.36769i 0.0875685 0.151673i
\(494\) −2.22063 + 6.83439i −0.0999107 + 0.307494i
\(495\) −31.5805 + 19.6642i −1.41944 + 0.883839i
\(496\) −8.80706 27.1053i −0.395449 1.21707i
\(497\) 23.2980 + 4.95213i 1.04506 + 0.222134i
\(498\) 0.0872736 2.47976i 0.00391082 0.111121i
\(499\) −14.3498 24.8546i −0.642386 1.11264i −0.984899 0.173132i \(-0.944611\pi\)
0.342513 0.939513i \(-0.388722\pi\)
\(500\) 10.4275 + 18.1915i 0.466332 + 0.813551i
\(501\) −4.22234 6.26356i −0.188640 0.279835i
\(502\) 8.37790 3.73008i 0.373924 0.166482i
\(503\) 10.0951 + 31.0695i 0.450118 + 1.38532i 0.876772 + 0.480907i \(0.159692\pi\)
−0.426653 + 0.904415i \(0.640308\pi\)
\(504\) −15.1265 1.06605i −0.673786 0.0474857i
\(505\) −26.6006 + 11.8103i −1.18371 + 0.525551i
\(506\) 0.153981 + 0.171013i 0.00684530 + 0.00760247i
\(507\) 3.50907 7.18966i 0.155843 0.319304i
\(508\) 5.17499 1.09998i 0.229603 0.0488037i
\(509\) 0.979668 + 0.436176i 0.0434230 + 0.0193332i 0.428333 0.903621i \(-0.359101\pi\)
−0.384910 + 0.922954i \(0.625768\pi\)
\(510\) 3.15775 + 0.448015i 0.139827 + 0.0198384i
\(511\) −37.9186 + 16.8824i −1.67742 + 0.746835i
\(512\) −17.5147 + 12.7252i −0.774047 + 0.562378i
\(513\) 16.8820 18.7185i 0.745357 0.826440i
\(514\) −6.06819 4.40880i −0.267657 0.194464i
\(515\) 13.5183 2.85874i 0.595688 0.125971i
\(516\) −10.2961 + 8.63468i −0.453261 + 0.380121i
\(517\) −23.4430 + 4.98296i −1.03102 + 0.219150i
\(518\) −1.89851 3.28832i −0.0834157 0.144480i
\(519\) −1.58615 1.53256i −0.0696241 0.0672720i
\(520\) −12.5593 + 2.65594i −0.550761 + 0.116471i
\(521\) −11.7963 36.3052i −0.516805 1.59056i −0.779974 0.625812i \(-0.784768\pi\)
0.263170 0.964750i \(-0.415232\pi\)
\(522\) −0.987442 + 1.46222i −0.0432192 + 0.0639996i
\(523\) −27.1301 19.7112i −1.18632 0.861909i −0.193446 0.981111i \(-0.561966\pi\)
−0.992870 + 0.119202i \(0.961966\pi\)
\(524\) 11.9646 20.7233i 0.522677 0.905303i
\(525\) −5.48374 31.5328i −0.239330 1.37621i
\(526\) 1.99913 + 3.46259i 0.0871661 + 0.150976i
\(527\) 2.12698 20.2368i 0.0926526 0.881530i
\(528\) 19.3344 24.7329i 0.841420 1.07636i
\(529\) 22.4839 + 4.77909i 0.977560 + 0.207787i
\(530\) 0.958272 + 9.20929i 0.0416247 + 0.400026i
\(531\) 21.6338 7.86069i 0.938829 0.341125i
\(532\) 33.6236 1.45777
\(533\) 10.3527 + 11.4978i 0.448426 + 0.498027i
\(534\) 1.02838 + 5.84158i 0.0445025 + 0.252790i
\(535\) −8.54284 6.22030i −0.369339 0.268927i
\(536\) −0.0963722 + 0.916920i −0.00416264 + 0.0396049i
\(537\) −7.73568 + 6.48740i −0.333819 + 0.279952i
\(538\) 0.745988 + 7.09760i 0.0321618 + 0.305999i
\(539\) 29.8744 + 21.7050i 1.28678 + 0.934902i
\(540\) 21.3062 + 4.57015i 0.916871 + 0.196668i
\(541\) −26.4907 + 19.2466i −1.13892 + 0.827475i −0.986969 0.160912i \(-0.948556\pi\)
−0.151953 + 0.988388i \(0.548556\pi\)
\(542\) 6.31860 + 7.01752i 0.271407 + 0.301428i
\(543\) 2.73136 0.190245i 0.117214 0.00816421i
\(544\) −8.87587 + 1.88662i −0.380550 + 0.0808884i
\(545\) −0.397767 0.000412872i −0.0170385 1.76855e-5i
\(546\) 9.38981 + 1.32227i 0.401847 + 0.0565878i
\(547\) −2.93767 0.624420i −0.125606 0.0266983i 0.144680 0.989479i \(-0.453785\pi\)
−0.270285 + 0.962780i \(0.587118\pi\)
\(548\) 4.88884 + 3.55195i 0.208841 + 0.151732i
\(549\) 1.67518 4.13969i 0.0714948 0.176678i
\(550\) −8.93157 3.99883i −0.380844 0.170511i
\(551\) 4.04218 7.00125i 0.172203 0.298263i
\(552\) 0.00979673 0.278361i 0.000416976 0.0118478i
\(553\) −21.3593 + 23.7219i −0.908291 + 1.00876i
\(554\) −2.97392 + 3.30287i −0.126350 + 0.140326i
\(555\) 4.21000 + 10.4596i 0.178705 + 0.443985i
\(556\) −28.4270 31.5713i −1.20557 1.33892i
\(557\) 33.7372 1.42949 0.714746 0.699384i \(-0.246542\pi\)
0.714746 + 0.699384i \(0.246542\pi\)
\(558\) −1.60820 + 9.09148i −0.0680804 + 0.384873i
\(559\) 14.0476 10.2062i 0.594149 0.431675i
\(560\) 13.4799 + 23.4040i 0.569631 + 0.988999i
\(561\) 19.7931 10.5172i 0.835664 0.444038i
\(562\) 6.13597 + 2.73191i 0.258830 + 0.115239i
\(563\) 29.5179 + 13.1422i 1.24403 + 0.553879i 0.919908 0.392135i \(-0.128263\pi\)
0.324125 + 0.946014i \(0.394930\pi\)
\(564\) 11.9030 + 7.44237i 0.501209 + 0.313380i
\(565\) −9.69464 16.8319i −0.407857 0.708125i
\(566\) 5.62100 4.08389i 0.236268 0.171659i
\(567\) −28.1883 17.6568i −1.18380 0.741518i
\(568\) −8.81457 −0.369851
\(569\) −0.128506 0.142720i −0.00538726 0.00598315i 0.740445 0.672117i \(-0.234615\pi\)
−0.745832 + 0.666134i \(0.767948\pi\)
\(570\) 6.56479 + 0.931401i 0.274969 + 0.0390121i
\(571\) 8.78172 9.75309i 0.367503 0.408154i −0.530823 0.847483i \(-0.678117\pi\)
0.898326 + 0.439329i \(0.144784\pi\)
\(572\) −29.2126 + 32.4439i −1.22144 + 1.35655i
\(573\) 3.04006 1.61536i 0.127000 0.0674827i
\(574\) −2.40377 + 4.16345i −0.100331 + 0.173779i
\(575\) 0.575296 0.121035i 0.0239915 0.00504752i
\(576\) −15.3426 + 2.14771i −0.639273 + 0.0894878i
\(577\) −14.6600 10.6511i −0.610303 0.443411i 0.239218 0.970966i \(-0.423109\pi\)
−0.849521 + 0.527555i \(0.823109\pi\)
\(578\) 3.98886 + 0.847858i 0.165915 + 0.0352662i
\(579\) −0.594408 + 0.760379i −0.0247027 + 0.0316003i
\(580\) 6.98877 + 0.00725417i 0.290193 + 0.000301213i
\(581\) 14.6743 3.11912i 0.608792 0.129403i
\(582\) −3.29238 4.88404i −0.136474 0.202450i
\(583\) 43.5398 + 48.3558i 1.80323 + 2.00269i
\(584\) 12.4270 9.02876i 0.514234 0.373613i
\(585\) −27.0545 7.80418i −1.11857 0.322663i
\(586\) −4.57554 3.32433i −0.189014 0.137327i
\(587\) −4.01695 38.2188i −0.165797 1.57746i −0.688688 0.725057i \(-0.741813\pi\)
0.522891 0.852400i \(-0.324853\pi\)
\(588\) −3.75010 21.3019i −0.154651 0.878475i
\(589\) 4.42188 42.0713i 0.182200 1.73352i
\(590\) 4.89466 + 3.56395i 0.201510 + 0.146725i
\(591\) 18.3741 15.4092i 0.755811 0.633849i
\(592\) −6.36644 7.07064i −0.261659 0.290602i
\(593\) −17.8242 −0.731954 −0.365977 0.930624i \(-0.619265\pi\)
−0.365977 + 0.930624i \(0.619265\pi\)
\(594\) −9.29396 + 4.12881i −0.381336 + 0.169407i
\(595\) 1.99574 + 19.1796i 0.0818172 + 0.786288i
\(596\) −24.6221 5.23360i −1.00856 0.214377i
\(597\) 6.04516 + 14.9741i 0.247412 + 0.612848i
\(598\) −0.0182062 + 0.173220i −0.000744506 + 0.00708350i
\(599\) 5.99511 + 10.3838i 0.244953 + 0.424272i 0.962119 0.272632i \(-0.0878940\pi\)
−0.717165 + 0.696903i \(0.754561\pi\)
\(600\) 4.41125 + 10.9925i 0.180089 + 0.448768i
\(601\) −14.4186 + 24.9737i −0.588145 + 1.01870i 0.406330 + 0.913726i \(0.366808\pi\)
−0.994475 + 0.104971i \(0.966525\pi\)
\(602\) 4.36496 + 3.17133i 0.177903 + 0.129254i
\(603\) −1.13178 + 1.67596i −0.0460896 + 0.0682502i
\(604\) −6.12597 18.8538i −0.249262 0.767150i
\(605\) −43.2193 + 9.13967i −1.75712 + 0.371581i
\(606\) −7.64856 + 2.19093i −0.310701 + 0.0890003i
\(607\) 12.1552 + 21.0534i 0.493365 + 0.854533i 0.999971 0.00764499i \(-0.00243350\pi\)
−0.506606 + 0.862178i \(0.669100\pi\)
\(608\) −18.4525 + 3.92220i −0.748347 + 0.159066i
\(609\) −10.0234 3.65132i −0.406169 0.147959i
\(610\) 1.14929 0.243042i 0.0465333 0.00984050i
\(611\) −14.6755 10.6624i −0.593707 0.431354i
\(612\) −12.6181 3.62563i −0.510055 0.146558i
\(613\) −11.7449 + 8.53317i −0.474372 + 0.344652i −0.799143 0.601141i \(-0.794713\pi\)
0.324771 + 0.945793i \(0.394713\pi\)
\(614\) −3.65877 + 1.62899i −0.147656 + 0.0657407i
\(615\) 8.80376 11.2379i 0.355002 0.453156i
\(616\) −25.6086 11.4017i −1.03180 0.459386i
\(617\) 12.0865 2.56907i 0.486586 0.103427i 0.0419153 0.999121i \(-0.486654\pi\)
0.444671 + 0.895694i \(0.353321\pi\)
\(618\) 3.76803 0.262452i 0.151573 0.0105574i
\(619\) −19.3417 21.4812i −0.777410 0.863402i 0.216190 0.976351i \(-0.430637\pi\)
−0.993601 + 0.112950i \(0.963970\pi\)
\(620\) 33.4240 14.8398i 1.34234 0.595979i
\(621\) 0.305910 0.528851i 0.0122758 0.0212221i
\(622\) −1.16000 3.57012i −0.0465118 0.143149i
\(623\) −32.7614 + 14.5863i −1.31256 + 0.584388i
\(624\) 23.7035 1.65100i 0.948899 0.0660929i
\(625\) −20.2863 + 14.6105i −0.811450 + 0.584421i
\(626\) −3.66800 6.35317i −0.146603 0.253924i
\(627\) 41.1488 21.8648i 1.64332 0.873195i
\(628\) 36.5504 + 7.76902i 1.45852 + 0.310018i
\(629\) −2.09917 6.46058i −0.0836994 0.257600i
\(630\) −0.291493 8.74449i −0.0116134 0.348389i
\(631\) −5.35180 + 16.4711i −0.213052 + 0.655706i 0.786234 + 0.617928i \(0.212028\pi\)
−0.999286 + 0.0377776i \(0.987972\pi\)
\(632\) 5.90656 10.2305i 0.234950 0.406946i
\(633\) −39.7991 + 11.4004i −1.58187 + 0.453126i
\(634\) −5.65516 2.51784i −0.224595 0.0999962i
\(635\) 1.94302 + 6.00118i 0.0771063 + 0.238150i
\(636\) 1.34055 38.0899i 0.0531563 1.51036i
\(637\) 2.92149 + 27.7961i 0.115754 + 1.10132i
\(638\) −2.63875 + 1.91716i −0.104469 + 0.0759012i
\(639\) −17.0664 9.08632i −0.675135 0.359449i
\(640\) −14.3472 15.9675i −0.567124 0.631171i
\(641\) −1.88795 17.9626i −0.0745694 0.709480i −0.966388 0.257088i \(-0.917237\pi\)
0.891819 0.452393i \(-0.149430\pi\)
\(642\) −2.07747 2.00729i −0.0819913 0.0792214i
\(643\) 20.8929 + 36.1876i 0.823937 + 1.42710i 0.902729 + 0.430209i \(0.141560\pi\)
−0.0787922 + 0.996891i \(0.525106\pi\)
\(644\) 0.797148 0.169439i 0.0314120 0.00667683i
\(645\) −11.5102 11.1445i −0.453213 0.438813i
\(646\) −3.90750 0.830565i −0.153739 0.0326781i
\(647\) −7.01532 21.5909i −0.275801 0.848827i −0.989006 0.147872i \(-0.952758\pi\)
0.713206 0.700955i \(-0.247242\pi\)
\(648\) 11.5623 + 4.22266i 0.454211 + 0.165882i
\(649\) 42.5504 1.67025
\(650\) −2.27418 7.04898i −0.0892008 0.276484i
\(651\) −55.6863 + 3.87867i −2.18252 + 0.152017i
\(652\) −1.29298 + 12.3019i −0.0506370 + 0.481779i
\(653\) −32.0888 + 35.6383i −1.25573 + 1.39463i −0.370935 + 0.928659i \(0.620963\pi\)
−0.884798 + 0.465974i \(0.845704\pi\)
\(654\) −0.107673 0.0151625i −0.00421036 0.000592900i
\(655\) 26.0518 + 11.6314i 1.01793 + 0.454477i
\(656\) −3.72261 + 11.4570i −0.145343 + 0.447321i
\(657\) 33.3678 4.67094i 1.30180 0.182231i
\(658\) 1.74180 5.36069i 0.0679022 0.208982i
\(659\) 2.46211 + 23.4255i 0.0959104 + 0.912526i 0.931639 + 0.363384i \(0.118379\pi\)
−0.835729 + 0.549142i \(0.814955\pi\)
\(660\) 34.1333 + 21.3912i 1.32864 + 0.832650i
\(661\) −0.139806 + 1.33017i −0.00543783 + 0.0517375i −0.996904 0.0786243i \(-0.974947\pi\)
0.991466 + 0.130362i \(0.0416139\pi\)
\(662\) −0.403792 0.179780i −0.0156938 0.00698735i
\(663\) 15.9399 + 5.80658i 0.619054 + 0.225509i
\(664\) −5.07190 + 2.25815i −0.196828 + 0.0876334i
\(665\) 4.14903 + 39.8735i 0.160893 + 1.54623i
\(666\) 0.744019 + 2.99106i 0.0288302 + 0.115901i
\(667\) 0.0605506 0.186356i 0.00234453 0.00721572i
\(668\) −4.08962 + 7.08342i −0.158232 + 0.274066i
\(669\) −31.2592 30.2032i −1.20855 1.16772i
\(670\) −0.531961 0.000552162i −0.0205514 2.13319e-5i
\(671\) 5.52396 6.13498i 0.213250 0.236838i
\(672\) 9.31878 + 23.0830i 0.359480 + 0.890444i
\(673\) −15.8434 + 7.05392i −0.610717 + 0.271909i −0.688701 0.725046i \(-0.741819\pi\)
0.0779835 + 0.996955i \(0.475152\pi\)
\(674\) −6.11591 −0.235576
\(675\) −2.79054 + 25.8305i −0.107408 + 0.994215i
\(676\) −8.66267 −0.333180
\(677\) 5.03836 2.24322i 0.193640 0.0862141i −0.307626 0.951507i \(-0.599535\pi\)
0.501266 + 0.865293i \(0.332868\pi\)
\(678\) −1.98778 4.92380i −0.0763402 0.189097i
\(679\) 23.8292 26.4650i 0.914482 1.01563i
\(680\) −2.19816 6.78921i −0.0842956 0.260354i
\(681\) −16.0415 15.4996i −0.614713 0.593946i
\(682\) −8.53369 + 14.7808i −0.326772 + 0.565985i
\(683\) −1.88003 + 5.78612i −0.0719372 + 0.221400i −0.980561 0.196217i \(-0.937134\pi\)
0.908623 + 0.417616i \(0.137134\pi\)
\(684\) −26.2323 7.53751i −1.00302 0.288204i
\(685\) −3.60892 + 6.23587i −0.137890 + 0.238260i
\(686\) 0.406855 0.181144i 0.0155338 0.00691610i
\(687\) −5.50482 2.00529i −0.210022 0.0765068i
\(688\) 12.3508 + 5.49894i 0.470871 + 0.209645i
\(689\) −5.14798 + 48.9798i −0.196123 + 1.86598i
\(690\) 0.160332 0.0110003i 0.00610373 0.000418773i
\(691\) −2.09183 19.9024i −0.0795769 0.757124i −0.959443 0.281902i \(-0.909035\pi\)
0.879866 0.475221i \(-0.157632\pi\)
\(692\) −0.737992 + 2.27131i −0.0280542 + 0.0863421i
\(693\) −37.8290 48.4734i −1.43700 1.84135i
\(694\) −0.380729 + 1.17176i −0.0144523 + 0.0444795i
\(695\) 33.9320 37.6067i 1.28711 1.42650i
\(696\) 3.90928 + 0.550502i 0.148181 + 0.0208667i
\(697\) −5.75513 + 6.39172i −0.217991 + 0.242104i
\(698\) 0.190618 1.81361i 0.00721501 0.0686462i
\(699\) −42.8947 + 2.98771i −1.62243 + 0.113006i
\(700\) −28.0795 + 20.3120i −1.06131 + 0.767722i
\(701\) 42.2502 1.59577 0.797885 0.602810i \(-0.205952\pi\)
0.797885 + 0.602810i \(0.205952\pi\)
\(702\) −7.02928 3.13655i −0.265303 0.118381i
\(703\) −4.36406 13.4312i −0.164594 0.506568i
\(704\) −28.0129 5.95432i −1.05578 0.224412i
\(705\) −7.35696 + 15.0339i −0.277079 + 0.566211i
\(706\) 0.826576 0.175694i 0.0311086 0.00661234i
\(707\) −24.0518 41.6590i −0.904562 1.56675i
\(708\) −17.9237 17.3181i −0.673612 0.650855i
\(709\) −1.76170 16.7614i −0.0661619 0.629489i −0.976484 0.215589i \(-0.930833\pi\)
0.910322 0.413900i \(-0.135834\pi\)
\(710\) −0.526366 5.05854i −0.0197542 0.189844i
\(711\) 21.9819 13.7191i 0.824384 0.514506i
\(712\) 10.7369 7.80079i 0.402381 0.292347i
\(713\) −0.107176 1.01971i −0.00401377 0.0381885i
\(714\) −0.185407 + 5.26809i −0.00693868 + 0.197153i
\(715\) −42.0793 30.6392i −1.57367 1.14584i
\(716\) 9.98667 + 4.44635i 0.373219 + 0.166168i
\(717\) −20.9607 + 6.00418i −0.782791 + 0.224230i
\(718\) 5.68475 9.84627i 0.212153 0.367460i
\(719\) 4.45302 13.7050i 0.166070 0.511110i −0.833044 0.553207i \(-0.813404\pi\)
0.999114 + 0.0420971i \(0.0134039\pi\)
\(720\) −5.27017 21.2811i −0.196408 0.793099i
\(721\) 7.05703 + 21.7193i 0.262818 + 0.808869i
\(722\) −1.56468 0.332582i −0.0582312 0.0123774i
\(723\) −18.2432 + 9.69368i −0.678472 + 0.360512i
\(724\) −1.48233 2.56747i −0.0550904 0.0954194i
\(725\) 0.853787 + 8.28873i 0.0317089 + 0.307836i
\(726\) −12.0468 + 0.839083i −0.447097 + 0.0311413i
\(727\) −24.4060 + 10.8662i −0.905168 + 0.403007i −0.805899 0.592054i \(-0.798317\pi\)
−0.0992697 + 0.995061i \(0.531651\pi\)
\(728\) −6.55639 20.1785i −0.242996 0.747865i
\(729\) 18.0336 + 20.0945i 0.667911 + 0.744241i
\(730\) 5.92355 + 6.59251i 0.219240 + 0.244000i
\(731\) 6.45886 + 7.17329i 0.238890 + 0.265314i
\(732\) −4.82384 + 0.335991i −0.178294 + 0.0124186i
\(733\) 21.4865 4.56709i 0.793622 0.168689i 0.206776 0.978388i \(-0.433703\pi\)
0.586846 + 0.809699i \(0.300370\pi\)
\(734\) 3.79370 + 1.68906i 0.140028 + 0.0623445i
\(735\) 24.7987 7.07574i 0.914714 0.260993i
\(736\) −0.417707 + 0.185975i −0.0153969 + 0.00685513i
\(737\) −3.02446 + 2.19740i −0.111407 + 0.0809422i
\(738\) 2.80870 2.70936i 0.103390 0.0997330i
\(739\) 18.5616 + 13.4858i 0.682800 + 0.496083i 0.874285 0.485412i \(-0.161331\pi\)
−0.191486 + 0.981495i \(0.561331\pi\)
\(740\) 8.17853 9.06424i 0.300649 0.333208i
\(741\) 33.1382 + 12.0716i 1.21736 + 0.443460i
\(742\) −14.9688 + 3.18171i −0.549521 + 0.116804i
\(743\) −17.1287 29.6678i −0.628392 1.08841i −0.987874 0.155255i \(-0.950380\pi\)
0.359483 0.933152i \(-0.382953\pi\)
\(744\) 19.8592 5.68867i 0.728075 0.208557i
\(745\) 3.16813 29.8447i 0.116071 1.09343i
\(746\) −0.392572 1.20821i −0.0143731 0.0442358i
\(747\) −12.1478 0.856125i −0.444463 0.0313240i
\(748\) −19.6344 14.2653i −0.717906 0.521589i
\(749\) 8.73293 15.1259i 0.319094 0.552687i
\(750\) −6.04501 + 3.18797i −0.220733 + 0.116408i
\(751\) 23.4392 + 40.5978i 0.855308 + 1.48144i 0.876359 + 0.481658i \(0.159965\pi\)
−0.0210514 + 0.999778i \(0.506701\pi\)
\(752\) 1.47636 14.0466i 0.0538373 0.512227i
\(753\) −16.8492 41.7361i −0.614020 1.52095i
\(754\) −2.41475 0.513271i −0.0879400 0.0186922i
\(755\) 21.6024 9.59115i 0.786192 0.349058i
\(756\) −3.79401 + 35.8152i −0.137987 + 1.30258i
\(757\) −35.2445 −1.28098 −0.640492 0.767965i \(-0.721269\pi\)
−0.640492 + 0.767965i \(0.721269\pi\)
\(758\) 4.42942 + 4.91937i 0.160884 + 0.178679i
\(759\) 0.865373 0.725732i 0.0314111 0.0263424i
\(760\) −4.56986 14.1144i −0.165766 0.511984i
\(761\) −3.37164 + 32.0790i −0.122222 + 1.16286i 0.745742 + 0.666235i \(0.232095\pi\)
−0.867964 + 0.496627i \(0.834572\pi\)
\(762\) 0.298968 + 1.69824i 0.0108305 + 0.0615208i
\(763\) −0.0687195 0.653823i −0.00248781 0.0236700i
\(764\) −3.01569 2.19103i −0.109104 0.0792686i
\(765\) 2.74254 15.4109i 0.0991567 0.557182i
\(766\) 4.82727 3.50722i 0.174416 0.126721i
\(767\) 21.5497 + 23.9334i 0.778115 + 0.864184i
\(768\) 6.71913 + 9.96740i 0.242456 + 0.359668i
\(769\) 3.77336 0.802052i 0.136071 0.0289227i −0.139373 0.990240i \(-0.544509\pi\)
0.275443 + 0.961317i \(0.411175\pi\)
\(770\) 5.01401 15.3772i 0.180692